{"role": "volunteer", "content": "Hi Chloe! What can I help you with today?", "session_id": 16592, "sequence_id": 0, "annotations": [{"pii_type": "PERSON", "surrogate": "Chloe", "start": 3, "end": 8}]}
{"role": "student", "content": "hello!", "session_id": 16592, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "There is a specific question that i do not know how to solve", "session_id": 16592, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "it's #4", "session_id": 16592, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "Okay! Give me a second to try it out", "session_id": 16592, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "i have to be able to state the transformations that occured in order, with the graph for each step", "session_id": 16592, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "Okay, so first factor out the constant so it would be -3f(-2(x-3/2)) -1", "session_id": 16592, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "the function f(-2x) represents a horizontal compression of the original function f(x) by a factor of 1/2 about the y axis", "session_id": 16592, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "the function f(-2(x-3/2)) represents a horizontal shift to the right by 3/2 units", "session_id": 16592, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "the -1 at the end is the vertical shift downwards by 1 unit", "session_id": 16592, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "let me try that out with the graphs", "session_id": 16592, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "ok so", "session_id": 16592, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "like that?", "session_id": 16592, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "wait", "session_id": 16592, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "the vertical stretch of 3", "session_id": 16592, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "and reflected upon the x axis too right?", "session_id": 16592, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "yes the third graph would be like that instead", "session_id": 16592, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "does the vertical stretch happen before or after the vertical translation?", "session_id": 16592, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "because i always mix up the otder", "session_id": 16592, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "It happens before since the -3 is attached directly to the function while the -1 is on the outside so its after", "session_id": 16592, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "oh ok", "session_id": 16592, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "thanksss", "session_id": 16592, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "np!", "session_id": 16592, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "Hi. I have a question that I wrote it on the whiteboard. I'm starting to write my work out so you can see it", "session_id": 16632, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "Hello", "session_id": 16632, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "I see it", "session_id": 16632, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "its really the finding the domain part that's confusing me the most with this particular problem", "session_id": 16632, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "The domain is what X values are valid", "session_id": 16632, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "yea. so I know anything lower than -2 cant be right", "session_id": 16632, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "see board", "session_id": 16632, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "ok", "session_id": 16632, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "why did u flip the sign? x cant be less than -2", "session_id": 16632, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "-1 gives you an invalid answer", "session_id": 16632, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "Nvm. it can be bc then the numerator would also be negative and it would cancel out", "session_id": 16632, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "see graph https://example.com/math_graph", "session_id": 16632, "sequence_id": 11, "annotations": [{"pii_type": "URL", "surrogate": "https://example.com/math_graph", "start": 10, "end": 40}]}
{"role": "volunteer", "content": "correction", "session_id": 16632, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "Can you see the graph?", "session_id": 16632, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "yes", "session_id": 16632, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "does the domain make sense?", "session_id": 16632, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "but I think I'm supposed to solve this purely usingalgebra", "session_id": 16632, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "Precisely", "session_id": 16632, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "algebraically denominator can not be zero or negative", "session_id": 16632, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "I can see that x has to be less than 2", "session_id": 16632, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "cool", "session_id": 16632, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "is that correct?", "session_id": 16632, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "looks good", "session_id": 16632, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "ok great! I have to right now but thanks for helping me today.", "session_id": 16632, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "bye", "session_id": 16632, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "bye", "session_id": 16632, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "Hi, how can I help", "session_id": 16572, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "Hi I was just wondering how to do the functions, because im functions% understanding it", "session_id": 16572, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "sure, do you mean like how to graph functions or what a function is, for clarity", "session_id": 16572, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "like the tables, and how to determine what happened to the function from an equation", "session_id": 16572, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "do you have an example we could work from?", "session_id": 16572, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "i do not", "session_id": 16572, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "Ok, lets see", "session_id": 16572, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "Can you make any predictions on what this function could be?", "session_id": 16572, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "is it a shift", "session_id": 16572, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "Not quite, think of your main types of functions", "session_id": 16572, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "Exponential, linear, polynomial, etc", "session_id": 16572, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "are there any patterns you notice, patterns are something fairly relevant for functions", "session_id": 16572, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "quadratic? because of the perfect squares", "session_id": 16572, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "Yup!", "session_id": 16572, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "I dont really remember going over these in class, because we automatically went into horizontal shifts, vert shifts, reflections and stuff like that", "session_id": 16572, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "Ok, lets try one of those", "session_id": 16572, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "What kind of technique/shift do you have to apply to y=2x to get the function there", "session_id": 16572, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "so im mainly struggling on the stuff when the teacher gives us an equation, and the parent funtion and then we have to use the equation to determine and graph the new function", "session_id": 16572, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 16572, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "Ok, how would you graph that, try drawing on the board", "session_id": 16572, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "Yep right 5, and what other shift", "session_id": 16572, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "Yep, I agree, those are the shifts", "session_id": 16572, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "Is there anything specific I can help with, if not, you might be best served just finding some of your hw and reviewing the problems", "session_id": 16572, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "I just want to practice more of this type of stuff, because i dont really feel like im too confident in it yet", "session_id": 16572, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "sure, we can do a couple more problems", "session_id": 16572, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "try this one", "session_id": 16572, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "so up 1", "session_id": 16572, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "yep", "session_id": 16572, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "and then would it be a shift to the right", "session_id": 16572, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "That sounds right!", "session_id": 16572, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "what about this one", "session_id": 16572, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "oh i have never seen anything like this, let me try it though", "session_id": 16572, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "Sounds good", "session_id": 16572, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "so down 10", "session_id": 16572, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "yup", "session_id": 16572, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "left 3", "session_id": 16572, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "Yup, nice job!", "session_id": 16572, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "i feel like there's other steps, but i dont really recognize this", "session_id": 16572, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "For this one, its a function you probably aren't familiar with, but the shifts are the same", "session_id": 16572, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "i feel like its the cubic part i dont understand", "session_id": 16572, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "could you still ecplain it though", "session_id": 16572, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "sure, in this case, this is the cube root of the square function", "session_id": 16572, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "That's approximately what the base cube root function looks like tho", "session_id": 16572, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "oh, i have never seen that, but okay, what would happen after that then", "session_id": 16572, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "the shifts are the same as all other shifts, the graph itself approaches infinity as x approaches infinity and the opposite in the negative direction", "session_id": 16572, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "Hi, are you still there?", "session_id": 16572, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "yes i am", "session_id": 16572, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "hii", "session_id": 16649, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "hii! how can i help?", "session_id": 16649, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "I need help on my math work", "session_id": 16649, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "alright, let's take a look", "session_id": 16649, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "okay", "session_id": 16649, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "I put it on the board next to the chat", "session_id": 16649, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "i see it", "session_id": 16649, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "ok so there's a rule to rotating points 90 degrees counterclockwise", "session_id": 16649, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "your new point would be at (-y, x), using the x and y coordinates from your original point", "session_id": 16649, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "or in this case from point b", "session_id": 16649, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "you can kind of picture the rotation like a circle", "session_id": 16649, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "hello?", "session_id": 16649, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "unfortunately i will have to end the session in a few minutes if you don't respond, it's Tutor Provider policy", "session_id": 16649, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "ill give you 2 more minutes, but unfortunately that's all i can offer if theres no response", "session_id": 16649, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "alright, im wishing you luck on your math!", "session_id": 16649, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "Hi! Are you good with Excel?", "session_id": 16667, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "Hi Alex! I am not very experienced in excel. What kind of help do you need?", "session_id": 16667, "sequence_id": 1, "annotations": [{"pii_type": "PERSON", "surrogate": "Alex", "start": 3, "end": 7}]}
{"role": "volunteer", "content": "Or rather, what are you trying to do in Excel?", "session_id": 16667, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "Its stats related but nobody is taking my session at the moment", "session_id": 16667, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "Let me screenshot it", "session_id": 16667, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "Maybe I can help", "session_id": 16667, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "Ok give me one sec", "session_id": 16667, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "Okay! :)", "session_id": 16667, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "here it is", "session_id": 16667, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "so so far i did the A part already", "session_id": 16667, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "i wish i could screenshare but it wont show so we'll do this", "session_id": 16667, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "So you want to click on the empty blue box next to mean, for example, and start typing =AVERAGE()", "session_id": 16667, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "yeah but for hat cell", "session_id": 16667, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "wait let me show you what i emailed my techer", "session_id": 16667, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "Then, you'll type something like =AVERAGE(A2:A81)", "session_id": 16667, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "but replact A2:A81 with the range of light bulb values", "session_id": 16667, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "The row and column of the first data point and the last", "session_id": 16667, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "\"There are 80 values, but A2:A80 is only 79 values. You are missing the bottom one. \n\"", "session_id": 16667, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "Is there a value in A81?", "session_id": 16667, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "The reason why I put A1:A80 is because A1 is the title of that section. \"Sorted Lifetimes (hrs)", "session_id": 16667, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "That's good! But if there's 80 values, then there should be an entry in A81", "session_id": 16667, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "so how do i do that", "session_id": 16667, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "bc then it'll count the title", "session_id": 16667, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "Could you clarify if there is an entry in A81?", "session_id": 16667, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "A1 is sorted lifetime", "session_id": 16667, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "Okay. Is the column Light Bulb Lifetimes (hrs) column A then?", "session_id": 16667, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "yes", "session_id": 16667, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "Okay! In the box next to mean, we want to compute the average of the column", "session_id": 16667, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "We can enter =AVERAGE(A2:A81)", "session_id": 16667, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "Because the 80 values should be in A2 to A81", "session_id": 16667, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "Ok", "session_id": 16667, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "Ohh I do both", "session_id": 16667, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "either column A or B should be fine", "session_id": 16667, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "Ohh I have to do it to Light Blumb (Lifetimes hrs)", "session_id": 16667, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "because they are both the same data set, just sorted differently", "session_id": 16667, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "However, you need to go up to row 81 to get all 80 values", "session_id": 16667, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "since the data set starts at row 2 due to the title", "session_id": 16667, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "That's what your teacher was talking about I believe :)", "session_id": 16667, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "Ok so type in for mean A1:A80", "session_id": 16667, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "Not quite! We don't want to include A1, which is the title", "session_id": 16667, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "We want the first 80 numeric values", "session_id": 16667, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "which is A2:A81 :)", "session_id": 16667, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "Exactly thats why I did:  A1:A80", "session_id": 16667, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "let me show you the cell", "session_id": 16667, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "A2:A80 is the first 79 values", "session_id": 16667, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "A80 is not the 80th value, just row 80", "session_id": 16667, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "the 80th value is in row 81", "session_id": 16667, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "look", "session_id": 16667, "sequence_id": 47, "annotations": []}
{"role": "student", "content": "theres no number in 81", "session_id": 16667, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "Oh okay! That was probably a copy and paste error", "session_id": 16667, "sequence_id": 49, "annotations": []}
{"role": "student", "content": "ok let me start over then on a new excel sheet from the original", "session_id": 16667, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "Can you try redoing part A, making sure you copy all the values?", "session_id": 16667, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "fixed it", "session_id": 16667, "sequence_id": 52, "annotations": []}
{"role": "student", "content": "i fixed it", "session_id": 16667, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "Awesome!!", "session_id": 16667, "sequence_id": 54, "annotations": []}
{"role": "student", "content": "so do", "session_id": 16667, "sequence_id": 55, "annotations": []}
{"role": "student", "content": "=AVERAGE(A2:A81)", "session_id": 16667, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "Yes!", "session_id": 16667, "sequence_id": 57, "annotations": []}
{"role": "student", "content": "=MEDIAN(A2:A81)", "session_id": 16667, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "Yep :)", "session_id": 16667, "sequence_id": 59, "annotations": []}
{"role": "student", "content": "=MODE(A2:A81)", "session_id": 16667, "sequence_id": 60, "annotations": []}
{"role": "student", "content": "uhh what do i do for midrange", "session_id": 16667, "sequence_id": 61, "annotations": []}
{"role": "student", "content": "there's no formula", "session_id": 16667, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "Can you add MIN(A2:A81) and MAX(A2:A81) and divide by 2?", "session_id": 16667, "sequence_id": 63, "annotations": []}
{"role": "student", "content": "oh that's what i do?", "session_id": 16667, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "Since column B is sorted", "session_id": 16667, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "the low and high are at the top and bottom", "session_id": 16667, "sequence_id": 66, "annotations": []}
{"role": "student", "content": "ok but how would that look formual wise", "session_id": 16667, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "I believe Alex", "session_id": 16667, "sequence_id": 68, "annotations": [{"pii_type": "PERSON", "surrogate": "Alex", "start": 10, "end": 14}]}
{"role": "student", "content": "oh its =(MAX(range) + MIN(range)) / 2", "session_id": 16667, "sequence_id": 69, "annotations": []}
{"role": "student", "content": "mhm", "session_id": 16667, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "That works too!", "session_id": 16667, "sequence_id": 71, "annotations": []}
{"role": "student", "content": "Alex", "session_id": 16667, "sequence_id": 72, "annotations": [{"pii_type": "PERSON", "surrogate": "Alex", "start": 0, "end": 4}]}
{"role": "student", "content": "=STDEV(A2:A81)", "session_id": 16667, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "yep :)", "session_id": 16667, "sequence_id": 74, "annotations": []}
{"role": "student", "content": "now i have to subtract", "session_id": 16667, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "Yeah, just use the letter of the column and number of the row to specify the values you want to use in the equation", "session_id": 16667, "sequence_id": 76, "annotations": []}
{"role": "student", "content": "how would i do that", "session_id": 16667, "sequence_id": 77, "annotations": []}
{"role": "student", "content": "ok", "session_id": 16667, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "It's gonna be similar to how we did things for midrange!", "session_id": 16667, "sequence_id": 79, "annotations": []}
{"role": "student", "content": "Ok done", "session_id": 16667, "sequence_id": 80, "annotations": []}
{"role": "volunteer", "content": "Nice! :)", "session_id": 16667, "sequence_id": 81, "annotations": []}
{"role": "student", "content": "ok i completed the purple", "session_id": 16667, "sequence_id": 82, "annotations": []}
{"role": "volunteer", "content": "Good job :D Do you have any other questions?", "session_id": 16667, "sequence_id": 83, "annotations": []}
{"role": "student", "content": "im updating the new stuff", "session_id": 16667, "sequence_id": 84, "annotations": []}
{"role": "student", "content": "done", "session_id": 16667, "sequence_id": 85, "annotations": []}
{"role": "student", "content": "now i need help with the orange", "session_id": 16667, "sequence_id": 86, "annotations": []}
{"role": "volunteer", "content": "Okay! Do you have an idea how to get started?", "session_id": 16667, "sequence_id": 87, "annotations": []}
{"role": "student", "content": "So I have to use the 5 stats to summarize the data set", "session_id": 16667, "sequence_id": 88, "annotations": []}
{"role": "volunteer", "content": "Yeah!", "session_id": 16667, "sequence_id": 89, "annotations": []}
{"role": "student", "content": "So like what would i say", "session_id": 16667, "sequence_id": 90, "annotations": []}
{"role": "student", "content": "bc idk what to say honestly", "session_id": 16667, "sequence_id": 91, "annotations": []}
{"role": "volunteer", "content": "I would reiterate in your own words what the statistics you calculate are saying.", "session_id": 16667, "sequence_id": 92, "annotations": []}
{"role": "volunteer", "content": "For example a mode of 8 means the most common value was 8.", "session_id": 16667, "sequence_id": 93, "annotations": []}
{"role": "volunteer", "content": "You can also write about what the statistics say about the spread and skew of the distribution if that feels appropriate", "session_id": 16667, "sequence_id": 94, "annotations": []}
{"role": "student", "content": "ok", "session_id": 16667, "sequence_id": 95, "annotations": []}
{"role": "student", "content": "ill free write and then can you help revise it", "session_id": 16667, "sequence_id": 96, "annotations": []}
{"role": "volunteer", "content": "Okay!", "session_id": 16667, "sequence_id": 97, "annotations": []}
{"role": "student", "content": "the data kinda centers around 1100, most of the values like fall between 900 n 1300. the mean n median r close so the distribution looks pretty symmetric. the mode 1050 so theres like a bunch of data around there, n the midrange 1127 shows the spread is balanced but a lil pulled up. standard deviation is 115 so the data got moderate variability.", "session_id": 16667, "sequence_id": 98, "annotations": []}
{"role": "volunteer", "content": "That looks great!", "session_id": 16667, "sequence_id": 99, "annotations": []}
{"role": "student", "content": "Well its kinda informal", "session_id": 16667, "sequence_id": 100, "annotations": []}
{"role": "volunteer", "content": "How's it going? :)", "session_id": 16667, "sequence_id": 101, "annotations": []}
{"role": "student", "content": "im saying the writing is informal", "session_id": 16667, "sequence_id": 102, "annotations": []}
{"role": "volunteer", "content": "Okay! How's the writing going?", "session_id": 16667, "sequence_id": 103, "annotations": []}
{"role": "student", "content": "lets skip and do #4", "session_id": 16667, "sequence_id": 104, "annotations": []}
{"role": "student", "content": "so how would i do that", "session_id": 16667, "sequence_id": 105, "annotations": []}
{"role": "volunteer", "content": "You can click and drag your mouse to select cells.", "session_id": 16667, "sequence_id": 106, "annotations": []}
{"role": "student", "content": "so select the full A1:A81", "session_id": 16667, "sequence_id": 107, "annotations": []}
{"role": "student", "content": "i mean 81 omgg", "session_id": 16667, "sequence_id": 108, "annotations": []}
{"role": "student", "content": "A1:A81", "session_id": 16667, "sequence_id": 109, "annotations": []}
{"role": "volunteer", "content": "If you look at the sorted column, it easy to see where the first value within the range you want start and where the last value ends. You want to select those value within one standard deviation of the mean", "session_id": 16667, "sequence_id": 110, "annotations": []}
{"role": "volunteer", "content": "Then you can change the text color somewhere up top", "session_id": 16667, "sequence_id": 111, "annotations": []}
{"role": "student", "content": "wait so do i just change it to purple", "session_id": 16667, "sequence_id": 112, "annotations": []}
{"role": "student", "content": "and it'll change the ones that need to be changed to purple", "session_id": 16667, "sequence_id": 113, "annotations": []}
{"role": "student", "content": "or do i like have to go to the \"A,Z\" column", "session_id": 16667, "sequence_id": 114, "annotations": []}
{"role": "volunteer", "content": "If you change the text color to purple, it will change the text color of the selected cells.", "session_id": 16667, "sequence_id": 115, "annotations": []}
{"role": "volunteer", "content": "Does that answer your question??", "session_id": 16667, "sequence_id": 116, "annotations": []}
{"role": "student", "content": "yes so i selected A1:A81", "session_id": 16667, "sequence_id": 117, "annotations": []}
{"role": "student", "content": "but im asking if i only need to just change it to purple", "session_id": 16667, "sequence_id": 118, "annotations": []}
{"role": "student", "content": "i wish Tutor Provider would let me screenshare sometimes that button shows sometimes it doesnt i dont understand why", "session_id": 16667, "sequence_id": 119, "annotations": []}
{"role": "volunteer", "content": "Problem 4 is asking you to change the text color or cell fill color of the values in the sorted that fall in the range of the purple cell block, which is one standard deviation from the mean", "session_id": 16667, "sequence_id": 120, "annotations": []}
{"role": "student", "content": "ohh", "session_id": 16667, "sequence_id": 121, "annotations": []}
{"role": "student", "content": "so i have to change the color manually", "session_id": 16667, "sequence_id": 122, "annotations": []}
{"role": "volunteer", "content": "yes :)", "session_id": 16667, "sequence_id": 123, "annotations": []}
{"role": "student", "content": "only for the sorted lifetimes section right?", "session_id": 16667, "sequence_id": 124, "annotations": []}
{"role": "volunteer", "content": "Yeah!", "session_id": 16667, "sequence_id": 125, "annotations": []}
{"role": "student", "content": "ok is it ok if i send u the numbers when done and then you verify?", "session_id": 16667, "sequence_id": 126, "annotations": []}
{"role": "student", "content": "if theyre right?", "session_id": 16667, "sequence_id": 127, "annotations": []}
{"role": "volunteer", "content": "Sure!", "session_id": 16667, "sequence_id": 128, "annotations": []}
{"role": "volunteer", "content": "Just a heads up, I have to leave at 2:25", "session_id": 16667, "sequence_id": 129, "annotations": []}
{"role": "student", "content": "kk", "session_id": 16667, "sequence_id": 130, "annotations": []}
{"role": "student", "content": "906, 911, 913, 925, 944, 958, 969, 979, 998, 1006, 1009, 1022, 1031, 1048, 1050, 1051, 1052, 1057, 1058, 1060, 1067, 1073, 1075, 1078, 1080, 1083, 1091, 1093, 1095, 1096, 1122, 1127, 1136, 1142, 1149, 1155, 1165, 1167, 1173, 1179, 1188, 1202, 1208, 1208, 1227, 1239, 1240, 1245, 1257, 1265, 1284, 1285, 1288, 1307", "session_id": 16667, "sequence_id": 131, "annotations": []}
{"role": "volunteer", "content": "Very close! You want to make sure all values are less than the upper bound, 1304.17. If they're greater, they fall outside one standard deviation from the mean :)", "session_id": 16667, "sequence_id": 132, "annotations": []}
{"role": "student", "content": "where did you get 1304.17 from", "session_id": 16667, "sequence_id": 133, "annotations": []}
{"role": "student", "content": "906, 911, 913, 925, 944, 958, 969, 979, 998, 1006, 1009, 1022, 1031, 1048, 1050, 1051, 1052, 1057, 1058, 1060, 1067, 1073, 1075, 1078, 1080, 1083, 1091, 1093, 1095, 1096, 1122, 1127, 1136, 1142, 1149, 1155, 1165, 1167, 1173, 1179, 1188, 1202, 1208, 1208, 1227, 1239, 1240, 1245, 1257, 1265, 1284, 1285, 1288", "session_id": 16667, "sequence_id": 134, "annotations": []}
{"role": "volunteer", "content": "Mean + Std Dev in the purple blocke!", "session_id": 16667, "sequence_id": 135, "annotations": []}
{"role": "volunteer", "content": "That looks good :)", "session_id": 16667, "sequence_id": 136, "annotations": []}
{"role": "student", "content": "my mean 1100", "session_id": 16667, "sequence_id": 137, "annotations": []}
{"role": "student", "content": "oh nvm", "session_id": 16667, "sequence_id": 138, "annotations": []}
{"role": "student", "content": "i see", "session_id": 16667, "sequence_id": 139, "annotations": []}
{"role": "student", "content": "so ill highlight, 906, 911, 913, 925, 944, 958, 969, 979, 998, 1006, 1009, 1022, 1031, 1048, 1050, 1051, 1052, 1057, 1058, 1060, 1067, 1073, 1075, 1078, 1080, 1083, 1091, 1093, 1095, 1096, 1122, 1127, 1136, 1142, 1149, 1155, 1165, 1167, 1173, 1179, 1188, 1202, 1208, 1208, 1227, 1239, 1240, 1245, 1257, 1265, 1284, 1285, 1288 PURPLEE", "session_id": 16667, "sequence_id": 140, "annotations": []}
{"role": "volunteer", "content": "looks good!!", "session_id": 16667, "sequence_id": 141, "annotations": []}
{"role": "student", "content": "and that is 54 values?", "session_id": 16667, "sequence_id": 142, "annotations": []}
{"role": "volunteer", "content": "I'm not sure... you can take the row number of the last row you're changing minus the row number of the first row you're changing and add 1", "session_id": 16667, "sequence_id": 143, "annotations": []}
{"role": "student", "content": "let me look", "session_id": 16667, "sequence_id": 144, "annotations": []}
{"role": "student", "content": "52", "session_id": 16667, "sequence_id": 145, "annotations": []}
{"role": "student", "content": "cell 15 and cell 67are highlighted", "session_id": 16667, "sequence_id": 146, "annotations": []}
{"role": "student", "content": "so you do 67-15=52", "session_id": 16667, "sequence_id": 147, "annotations": []}
{"role": "volunteer", "content": "and add 1", "session_id": 16667, "sequence_id": 148, "annotations": []}
{"role": "student", "content": "oh 3", "session_id": 16667, "sequence_id": 149, "annotations": []}
{"role": "volunteer", "content": "you can also count to double check!", "session_id": 16667, "sequence_id": 150, "annotations": []}
{"role": "student", "content": "it wants to know how many out of the 80", "session_id": 16667, "sequence_id": 151, "annotations": []}
{"role": "volunteer", "content": "Yeah!", "session_id": 16667, "sequence_id": 152, "annotations": []}
{"role": "student", "content": "yep its 53", "session_id": 16667, "sequence_id": 153, "annotations": []}
{"role": "volunteer", "content": "Nice! I have to head off now", "session_id": 16667, "sequence_id": 154, "annotations": []}
{"role": "student", "content": "alright, thans bye! :)", "session_id": 16667, "sequence_id": 155, "annotations": []}
{"role": "volunteer", "content": "Great work today :D", "session_id": 16667, "sequence_id": 156, "annotations": []}
{"role": "volunteer", "content": "Hello", "session_id": 16685, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "hi could i get help with this assignment", "session_id": 16685, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "Yeah, sure, I can help you with that", "session_id": 16685, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "So we'll have to break down the overall equation into two parts.", "session_id": 16685, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "I'm gonna type it here and you should be able to see it in a bit.", "session_id": 16685, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "Do you see it on the board", "session_id": 16685, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "OK, I have posted on the board and also shared an explanation.", "session_id": 16685, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "Please let me know if you have any questions.", "session_id": 16685, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "Are you still there", "session_id": 16685, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "hi", "session_id": 16685, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "Do you have any other questions", "session_id": 16685, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "hello?", "session_id": 16685, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "Yup.", "session_id": 16685, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "yes i am back", "session_id": 16685, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "how do i do this because i know nothing about algebra so i want to figure out how to do this", "session_id": 16685, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 16685, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "ok so it will be x-3^2 because x^2 -6x would be 3+3=6", "session_id": 16685, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "like how it go to x + 3", "session_id": 16685, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "Yeah, kind of, but let me share the formula.", "session_id": 16685, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "Do you know the formula for A + B, the whole square?", "session_id": 16685, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "Put it on the board", "session_id": 16685, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "So A minus B is there. I'm gonna add A + B as well.", "session_id": 16685, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "So basically that's what we apply for", "session_id": 16685, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "the X minus 3, the whole square. You should have your answer.", "session_id": 16685, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "(a + b)\u00b2 = a\u00b2 + 2ab + b\u00b2", "session_id": 16685, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "yea", "session_id": 16685, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "I", "session_id": 16685, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "I", "session_id": 16685, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "That's correct, yeah", "session_id": 16685, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "There's a trick in this question because the last digit is + 14.", "session_id": 16685, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "uh, that, that is what can confuse some kids, so essentially,", "session_id": 16685, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "uh you get 9 by swallowing the X minus 32.", "session_id": 16685, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "by solving.", "session_id": 16685, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "So the 9 + 5 would give you the 14.", "session_id": 16685, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "Did you get that last part", "session_id": 16685, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "So it will be -2AB when you're squaring XA minus B.", "session_id": 16685, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "For A + B, it'll be +2AB.", "session_id": 16685, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "Any other questions?", "session_id": 16685, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "the x-3^2 would be 3x3=9?", "session_id": 16685, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "Yes", "session_id": 16685, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "so then it will be 9 and then the 5", "session_id": 16685, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "but do we add the 5 or subtract the 5", "session_id": 16685, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "correct.", "session_id": 16685, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "So the answer is option C.", "session_id": 16685, "sequence_id": 43, "annotations": []}
{"role": "student", "content": "wait no i was asking a question", "session_id": 16685, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "The answer to your question is, uh, 9 and then the 5 gives you 14.", "session_id": 16685, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "We add the 5 only because that's one of the options and that will give you the 14.", "session_id": 16685, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "He.", "session_id": 16685, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "Are we clear", "session_id": 16685, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "Did I answer your question", "session_id": 16685, "sequence_id": 49, "annotations": []}
{"role": "student", "content": "but how do we know if we subtract or add the 5", "session_id": 16685, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "If you subtract 5", "session_id": 16685, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "then 9 minus 5.", "session_id": 16685, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "would give you 4", "session_id": 16685, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "But if you look at the question", "session_id": 16685, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "it is x squared minus 6 x + 14.", "session_id": 16685, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "So the plus 5 is coming from option C.", "session_id": 16685, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "(x-3) ^2 = (x^2 - 6x + 9)", "session_id": 16685, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "(x-3) ^2 + 5 = (x^2 - 6x + 9) + 5", "session_id": 16685, "sequence_id": 58, "annotations": []}
{"role": "student", "content": "ohh ok", "session_id": 16685, "sequence_id": 59, "annotations": []}
{"role": "student", "content": "because we alread subtract the x and the number", "session_id": 16685, "sequence_id": 60, "annotations": []}
{"role": "student", "content": "and then we just add the 5", "session_id": 16685, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 16685, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "good work.", "session_id": 16685, "sequence_id": 63, "annotations": []}
{"role": "student", "content": "ok so how do we know if its C or D", "session_id": 16685, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "because the Q has -6X", "session_id": 16685, "sequence_id": 65, "annotations": []}
{"role": "student", "content": "ohh we subtract the x and 3", "session_id": 16685, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "and not +6X", "session_id": 16685, "sequence_id": 67, "annotations": []}
{"role": "student", "content": "ohh so it would be", "session_id": 16685, "sequence_id": 68, "annotations": []}
{"role": "student", "content": "ohh ok", "session_id": 16685, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "Yup.", "session_id": 16685, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "Excellent job", "session_id": 16685, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "I'm glad to see that you're trying to understand the concepts.", "session_id": 16685, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "and you have it all", "session_id": 16685, "sequence_id": 73, "annotations": []}
{"role": "student", "content": "ok can we do another one cause you explained it in a way for me to understand", "session_id": 16685, "sequence_id": 74, "annotations": []}
{"role": "volunteer", "content": "OK, let me delete the previous.", "session_id": 16685, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "answer", "session_id": 16685, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "Oh, you did it. Thank you.", "session_id": 16685, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "So you see that", "session_id": 16685, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "the, in all the options,", "session_id": 16685, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "the R is in the denominator.", "session_id": 16685, "sequence_id": 80, "annotations": []}
{"role": "volunteer", "content": "So our goal is to solve the above equation in such a way that our goes into the", "session_id": 16685, "sequence_id": 81, "annotations": []}
{"role": "volunteer", "content": "denominator", "session_id": 16685, "sequence_id": 82, "annotations": []}
{"role": "volunteer", "content": "So let me show you how.", "session_id": 16685, "sequence_id": 83, "annotations": []}
{"role": "volunteer", "content": "So when I solve the equation.", "session_id": 16685, "sequence_id": 84, "annotations": []}
{"role": "volunteer", "content": "on the left-hand side", "session_id": 16685, "sequence_id": 85, "annotations": []}
{"role": "volunteer", "content": "you get QX + 5 X.", "session_id": 16685, "sequence_id": 86, "annotations": []}
{"role": "volunteer", "content": "On the right-hand side", "session_id": 16685, "sequence_id": 87, "annotations": []}
{"role": "volunteer", "content": "You have 3Q", "session_id": 16685, "sequence_id": 88, "annotations": []}
{"role": "volunteer", "content": "Any questions so far", "session_id": 16685, "sequence_id": 89, "annotations": []}
{"role": "student", "content": "why we do 5x and we didnt do 5q?", "session_id": 16685, "sequence_id": 90, "annotations": []}
{"role": "volunteer", "content": "OK, good. So you caught the error", "session_id": 16685, "sequence_id": 91, "annotations": []}
{"role": "volunteer", "content": "I just wanted to make sure that you understand it. So it is 5Q.", "session_id": 16685, "sequence_id": 92, "annotations": []}
{"role": "volunteer", "content": "So now let's solve it further.", "session_id": 16685, "sequence_id": 93, "annotations": []}
{"role": "student", "content": "oh so it is qx + 5q and not 5x", "session_id": 16685, "sequence_id": 94, "annotations": []}
{"role": "volunteer", "content": "We have to isolate the eggs.", "session_id": 16685, "sequence_id": 95, "annotations": []}
{"role": "volunteer", "content": "Isolate the X", "session_id": 16685, "sequence_id": 96, "annotations": []}
{"role": "volunteer", "content": "Do you see the screen right now", "session_id": 16685, "sequence_id": 97, "annotations": []}
{"role": "volunteer", "content": "We, we took X out.", "session_id": 16685, "sequence_id": 98, "annotations": []}
{"role": "volunteer", "content": "and put Q+R in the brackets.", "session_id": 16685, "sequence_id": 99, "annotations": []}
{"role": "student", "content": "why we take x out?", "session_id": 16685, "sequence_id": 100, "annotations": []}
{"role": "volunteer", "content": "because that's the question. The question is saying,", "session_id": 16685, "sequence_id": 101, "annotations": []}
{"role": "volunteer", "content": "which equation represents the given equation when solved for X, so we are trying to find out.", "session_id": 16685, "sequence_id": 102, "annotations": []}
{"role": "volunteer", "content": "what is X equal to", "session_id": 16685, "sequence_id": 103, "annotations": []}
{"role": "volunteer", "content": "Do you understand that?", "session_id": 16685, "sequence_id": 104, "annotations": []}
{"role": "student", "content": "ok its asking when solved for x", "session_id": 16685, "sequence_id": 105, "annotations": []}
{"role": "volunteer", "content": "correct.", "session_id": 16685, "sequence_id": 106, "annotations": []}
{"role": "volunteer", "content": "If you wanna use the mic and speaker, it may be easier to kind of.", "session_id": 16685, "sequence_id": 107, "annotations": []}
{"role": "volunteer", "content": "walk you through that", "session_id": 16685, "sequence_id": 108, "annotations": []}
{"role": "student", "content": "so we have to figure out how to solve for x", "session_id": 16685, "sequence_id": 109, "annotations": []}
{"role": "volunteer", "content": "Yeah.", "session_id": 16685, "sequence_id": 110, "annotations": []}
{"role": "student", "content": "idk how we solve for x because why are we breaking apart the equation?", "session_id": 16685, "sequence_id": 111, "annotations": []}
{"role": "volunteer", "content": "You're not breaking apart the equation. I was just trying to explain it to you so we solve each side.", "session_id": 16685, "sequence_id": 112, "annotations": []}
{"role": "volunteer", "content": "of the equation, uh, but you can", "session_id": 16685, "sequence_id": 113, "annotations": []}
{"role": "volunteer", "content": "just um", "session_id": 16685, "sequence_id": 114, "annotations": []}
{"role": "volunteer", "content": "keep it as left-hand side and right hand side.", "session_id": 16685, "sequence_id": 115, "annotations": []}
{"role": "volunteer", "content": "because those two are the parts of the equation.", "session_id": 16685, "sequence_id": 116, "annotations": []}
{"role": "student", "content": "ok so we have q+r in paranthesis", "session_id": 16685, "sequence_id": 117, "annotations": []}
{"role": "volunteer", "content": "yes as x is common to both", "session_id": 16685, "sequence_id": 118, "annotations": []}
{"role": "student", "content": "why we do x(q+r) two times", "session_id": 16685, "sequence_id": 119, "annotations": []}
{"role": "volunteer", "content": "what do you mean?", "session_id": 16685, "sequence_id": 120, "annotations": []}
{"role": "student", "content": "like we did these two both times", "session_id": 16685, "sequence_id": 121, "annotations": []}
{"role": "volunteer", "content": "There two different lines", "session_id": 16685, "sequence_id": 122, "annotations": []}
{"role": "volunteer", "content": "the 2nd line has 3q-5q =  -2q", "session_id": 16685, "sequence_id": 123, "annotations": []}
{"role": "volunteer", "content": "nothing is changes on the LHS", "session_id": 16685, "sequence_id": 124, "annotations": []}
{"role": "student", "content": "yea how we get -2q?", "session_id": 16685, "sequence_id": 125, "annotations": []}
{"role": "volunteer", "content": "i explained it above", "session_id": 16685, "sequence_id": 126, "annotations": []}
{"role": "student", "content": "yea so you did 5-3", "session_id": 16685, "sequence_id": 127, "annotations": []}
{"role": "student", "content": "and then it got -2", "session_id": 16685, "sequence_id": 128, "annotations": []}
{"role": "volunteer", "content": "dont forget the q", "session_id": 16685, "sequence_id": 129, "annotations": []}
{"role": "student", "content": "ok so it will be x= -2q/ ( q + r)", "session_id": 16685, "sequence_id": 130, "annotations": []}
{"role": "student", "content": "i think i will just be confused like doing the LHS and RHS", "session_id": 16685, "sequence_id": 131, "annotations": []}
{"role": "student", "content": "what is a LHS?", "session_id": 16685, "sequence_id": 132, "annotations": []}
{"role": "volunteer", "content": "Left-hand side of the equal to sign.", "session_id": 16685, "sequence_id": 133, "annotations": []}
{"role": "volunteer", "content": "Do you have a mic", "session_id": 16685, "sequence_id": 134, "annotations": []}
{"role": "student", "content": "yea but im in public", "session_id": 16685, "sequence_id": 135, "annotations": []}
{"role": "volunteer", "content": "They're fine for me if it's fine for you.", "session_id": 16685, "sequence_id": 136, "annotations": []}
{"role": "volunteer", "content": "It's easier to explain", "session_id": 16685, "sequence_id": 137, "annotations": []}
{"role": "volunteer", "content": "The left hand side and right hand side is just a way to make it simpler. So if it is confusing you, then you can ignore it and just, uh, you know,", "session_id": 16685, "sequence_id": 138, "annotations": []}
{"role": "volunteer", "content": "solve it as is", "session_id": 16685, "sequence_id": 139, "annotations": []}
{"role": "student", "content": "yea  i cant hear it", "session_id": 16685, "sequence_id": 140, "annotations": []}
{"role": "student", "content": "and ok", "session_id": 16685, "sequence_id": 141, "annotations": []}
{"role": "volunteer", "content": "Are you're not able to hear me", "session_id": 16685, "sequence_id": 142, "annotations": []}
{"role": "volunteer", "content": "Hello Emily", "session_id": 17181, "sequence_id": 0, "annotations": [{"pii_type": "PERSON", "surrogate": "Emily", "start": 6, "end": 11}]}
{"role": "volunteer", "content": "Emily", "session_id": 17181, "sequence_id": 1, "annotations": [{"pii_type": "PERSON", "surrogate": "Emily", "start": 0, "end": 5}]}
{"role": "student", "content": "hi! how are you today?", "session_id": 17181, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "Good thx", "session_id": 17181, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "How can I help out", "session_id": 17181, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "i was wondering if you could help me with an algebra assigment?", "session_id": 17181, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "Sure thing", "session_id": 17181, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "I don't get it at all, we had to teach ourselves but I don't get it", "session_id": 17181, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "I hear you", "session_id": 17181, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "Reviewing the question", "session_id": 17181, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "I will show on board the steps", "session_id": 17181, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "Please ask questions as I go through the steps", "session_id": 17181, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "sounds good", "session_id": 17181, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "clear step 1?", "session_id": 17181, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "you plugged in x right", "session_id": 17181, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 17181, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "k", "session_id": 17181, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "g(17)=272 clear?", "session_id": 17181, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "Is step 2 clear?", "session_id": 17181, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "Are you there?", "session_id": 17181, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "sorry", "session_id": 17181, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "yes", "session_id": 17181, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "k", "session_id": 17181, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "any questions so far?", "session_id": 17181, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "no", "session_id": 17181, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "So 2 a is done", "session_id": 17181, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "We will do 2 b now and then go back to 1", "session_id": 17181, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "okay?", "session_id": 17181, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "k", "session_id": 17181, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "done 2 b", "session_id": 17181, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "any questions re. step 2b?", "session_id": 17181, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "no", "session_id": 17181, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "wait", "session_id": 17181, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "is g(h(t)) the same as g(f(x))", "session_id": 17181, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "wait I read that wrong nvm", "session_id": 17181, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "Same concept", "session_id": 17181, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "ok", "session_id": 17181, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "h(t) is like f(x)", "session_id": 17181, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "function of t or function of x", "session_id": 17181, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "same concept", "session_id": 17181, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "oh ok", "session_id": 17181, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "how would you do 1", "session_id": 17181, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "uhhh", "session_id": 17181, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "step by step", "session_id": 17181, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "what does t represent", "session_id": 17181, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "the number of seconds", "session_id": 17181, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 17181, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "so what does p(t) represent", "session_id": 17181, "sequence_id": 47, "annotations": []}
{"role": "student", "content": "the number of push ups in the number of seconds", "session_id": 17181, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "yes and t=?", "session_id": 17181, "sequence_id": 49, "annotations": []}
{"role": "student", "content": "45", "session_id": 17181, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "yes so a person is the number of push ups one can do in 45 secs", "session_id": 17181, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "makes sense?", "session_id": 17181, "sequence_id": 52, "annotations": []}
{"role": "student", "content": "yes", "session_id": 17181, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "great", "session_id": 17181, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "so what is C(p) mean?", "session_id": 17181, "sequence_id": 55, "annotations": []}
{"role": "student", "content": "the number of calories burned doing a number of push ups", "session_id": 17181, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "is how much time?", "session_id": 17181, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "in how much time?", "session_id": 17181, "sequence_id": 58, "annotations": []}
{"role": "student", "content": "45 seconds", "session_id": 17181, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "super", "session_id": 17181, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "So here is the interpretation of C(P(45))", "session_id": 17181, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "c(p(45)) represents the number of calories burned from the push-ups a person can do in 45 seconds.", "session_id": 17181, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "makes sense?", "session_id": 17181, "sequence_id": 63, "annotations": []}
{"role": "student", "content": "yes", "session_id": 17181, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "great", "session_id": 17181, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "I will need to leave in 5 mins", "session_id": 17181, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "I can send you a video on composite functions if you want", "session_id": 17181, "sequence_id": 67, "annotations": []}
{"role": "student", "content": "yes pls", "session_id": 17181, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "sure, working it", "session_id": 17181, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "https://example.com/video", "session_id": 17181, "sequence_id": 70, "annotations": [{"pii_type": "URL", "surrogate": "https://example.com/video", "start": 0, "end": 25}]}
{"role": "volunteer", "content": "Please review", "session_id": 17181, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "bye Emily", "session_id": 17181, "sequence_id": 72, "annotations": [{"pii_type": "PERSON", "surrogate": "Emily", "start": 4, "end": 9}]}
{"role": "student", "content": "bye", "session_id": 17181, "sequence_id": 73, "annotations": []}
{"role": "student", "content": "thank you", "session_id": 17181, "sequence_id": 74, "annotations": []}
{"role": "volunteer", "content": "welcome", "session_id": 17181, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "Hi Leo!", "session_id": 17208, "sequence_id": 0, "annotations": [{"pii_type": "PERSON", "surrogate": "Leo", "start": 3, "end": 6}]}
{"role": "student", "content": "hello i have", "session_id": 17208, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "a assignment", "session_id": 17208, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "Sure, just share the question you need help with", "session_id": 17208, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "here could you demo 1-2 and help me do the rest?", "session_id": 17208, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "Ok", "session_id": 17208, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "The first step is taking the coefficients of the dividend", "session_id": 17208, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "Okay", "session_id": 17208, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "Then for the divisor you need to do x+6=0 and solve for x (basically find the root)", "session_id": 17208, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "I see", "session_id": 17208, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "For the first term, we just take it straight down, no calculations required", "session_id": 17208, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "then ?", "session_id": 17208, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "For the second term, you will need to multiply 1 x -6", "session_id": 17208, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "Got it", "session_id": 17208, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "Then add the 1 and -6", "session_id": 17208, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "Then repeat the process", "session_id": 17208, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "So now we would do -6 x -5", "session_id": 17208, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "Now the results are at the bottom", "session_id": 17208, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "The last term is always the remainder", "session_id": 17208, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "oh okioki", "session_id": 17208, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "And the other terms are applied to increasing powers of x starting from 0", "session_id": 17208, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "so whts hte fa", "session_id": 17208, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "So for -5 it would be -5x^0 which is just -5", "session_id": 17208, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "Then 1x^1 which is x", "session_id": 17208, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "If there's any remainder, you would write that over the existent divisor", "session_id": 17208, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "Since the remainder is 0 it makes no difference", "session_id": 17208, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "Hmm", "session_id": 17208, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "then the next numberr??", "session_id": 17208, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "Which number?", "session_id": 17208, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "x+2 so i can do 2 --2", "session_id": 17208, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "Ok", "session_id": 17208, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "Do you understand this?", "session_id": 17208, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "yup", "session_id": 17208, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "That's great!", "session_id": 17208, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "Do you still want my help for the other questions?", "session_id": 17208, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "what why is 2 -2 when in x+2 is x+2", "session_id": 17208, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "you change signs?", "session_id": 17208, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "For the denominator (i.e. divisor), you're supposed to solve for the root of x", "session_id": 17208, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "So in this case you would do x+2=0, which would give x=-2", "session_id": 17208, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "ohhh I see", "session_id": 17208, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "wait", "session_id": 17208, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "plz check", "session_id": 17208, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "4-3-12-32", "session_id": 17208, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "if you have any corrections feel free to correct in the thing i did", "session_id": 17208, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "Ok", "session_id": 17208, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "What's this?", "session_id": 17208, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "4 as we bring the first one down(?)", "session_id": 17208, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "Yeah, that's correct, it was just a bit hard to read", "session_id": 17208, "sequence_id": 47, "annotations": []}
{"role": "student", "content": "then abt abt -3-12-32", "session_id": 17208, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "The final answer is wrong", "session_id": 17208, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "Wait I'll write in red", "session_id": 17208, "sequence_id": 50, "annotations": []}
{"role": "student", "content": "Understood", "session_id": 17208, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "whast the fa", "session_id": 17208, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "Perfect", "session_id": 17208, "sequence_id": 53, "annotations": []}
{"role": "student", "content": "plz check", "session_id": 17208, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "Sure", "session_id": 17208, "sequence_id": 55, "annotations": []}
{"role": "student", "content": "The solution is below the worksheet", "session_id": 17208, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "Ok", "session_id": 17208, "sequence_id": 57, "annotations": []}
{"role": "student", "content": "can you check", "session_id": 17208, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 17208, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "-3x-2=6", "session_id": 17208, "sequence_id": 60, "annotations": []}
{"role": "student", "content": "okay next", "session_id": 17208, "sequence_id": 61, "annotations": []}
{"role": "student", "content": "oki please checkk", "session_id": 17208, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "You should put the values in descending order of powers of x", "session_id": 17208, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "So 3 should be first not lasr", "session_id": 17208, "sequence_id": 64, "annotations": []}
{"role": "student", "content": "oh", "session_id": 17208, "sequence_id": 65, "annotations": []}
{"role": "student", "content": "plz check", "session_id": 17208, "sequence_id": 66, "annotations": []}
{"role": "student", "content": "can you write it with the variables?", "session_id": 17208, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "Yes that's correct", "session_id": 17208, "sequence_id": 68, "annotations": []}
{"role": "student", "content": "can you check", "session_id": 17208, "sequence_id": 69, "annotations": []}
{"role": "student", "content": "can you do (2x^3 - 9x^2 + 4x + 12) / (2x-3)", "session_id": 17208, "sequence_id": 70, "annotations": []}
{"role": "student", "content": "also check for (2x^3 - 9x^2 + 4x + 12) / (2x-3) i did the fa", "session_id": 17208, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "Yes it's correct", "session_id": 17208, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "9+2=1", "session_id": 17208, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "9+2=11", "session_id": 17208, "sequence_id": 74, "annotations": []}
{"role": "student", "content": "also can you do (2x^3 - 9x^2 + 4x + 12) / (2x-3) plz?", "session_id": 17208, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "It's the same concept, equate the denominator to 0, solve for x, then apply synthetic division", "session_id": 17208, "sequence_id": 76, "annotations": []}
{"role": "student", "content": "i dont get it plz helpp", "session_id": 17208, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "For the divisor, you need to solve for x in 2x-3=0", "session_id": 17208, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "And then the rest of the steps are the same", "session_id": 17208, "sequence_id": 79, "annotations": []}
{"role": "student", "content": "huh i dont get it tot", "session_id": 17208, "sequence_id": 80, "annotations": []}
{"role": "student", "content": "can you solve (2x^3 - 9x^2 + 4x + 12) / (2x-3) plz", "session_id": 17208, "sequence_id": 81, "annotations": []}
{"role": "student", "content": "huh", "session_id": 17208, "sequence_id": 82, "annotations": []}
{"role": "volunteer", "content": "It's the same steps, you're just multiplying and adding fractions instead of whole numbers", "session_id": 17208, "sequence_id": 83, "annotations": []}
{"role": "student", "content": "plz can you do itt??", "session_id": 17208, "sequence_id": 84, "annotations": []}
{"role": "student", "content": "dont get it??", "session_id": 17208, "sequence_id": 85, "annotations": []}
{"role": "volunteer", "content": "I've written it in red", "session_id": 17208, "sequence_id": 86, "annotations": []}
{"role": "volunteer", "content": "I'll explain it to you step by step", "session_id": 17208, "sequence_id": 87, "annotations": []}
{"role": "volunteer", "content": "First for the divisor, we solve for x in 2x-3=0, which gives x=3/2", "session_id": 17208, "sequence_id": 88, "annotations": []}
{"role": "student", "content": "lets do it together", "session_id": 17208, "sequence_id": 89, "annotations": []}
{"role": "volunteer", "content": "I'll solve it in the gray box", "session_id": 17208, "sequence_id": 90, "annotations": []}
{"role": "student", "content": "Okay", "session_id": 17208, "sequence_id": 91, "annotations": []}
{"role": "volunteer", "content": "Do you understand so far?", "session_id": 17208, "sequence_id": 92, "annotations": []}
{"role": "student", "content": "yup", "session_id": 17208, "sequence_id": 93, "annotations": []}
{"role": "volunteer", "content": "3/2 x 3 = 9/2", "session_id": 17208, "sequence_id": 94, "annotations": []}
{"role": "volunteer", "content": "-9+9/2=-9/2", "session_id": 17208, "sequence_id": 95, "annotations": []}
{"role": "volunteer", "content": "3/2 x -9/2 = -27/4", "session_id": 17208, "sequence_id": 96, "annotations": []}
{"role": "student", "content": "oh okoki", "session_id": 17208, "sequence_id": 97, "annotations": []}
{"role": "volunteer", "content": "-4+(-27/4)=-43/4", "session_id": 17208, "sequence_id": 98, "annotations": []}
{"role": "student", "content": "oh okiki", "session_id": 17208, "sequence_id": 99, "annotations": []}
{"role": "volunteer", "content": "3/2 x -43/4 = -129/8", "session_id": 17208, "sequence_id": 100, "annotations": []}
{"role": "volunteer", "content": "12+(-129/8)=-33/8", "session_id": 17208, "sequence_id": 101, "annotations": []}
{"role": "volunteer", "content": "That's it", "session_id": 17208, "sequence_id": 102, "annotations": []}
{"role": "student", "content": "oh okioki", "session_id": 17208, "sequence_id": 103, "annotations": []}
{"role": "student", "content": "is it correct??", "session_id": 17208, "sequence_id": 104, "annotations": []}
{"role": "volunteer", "content": "The denominator should be 2x-3", "session_id": 17208, "sequence_id": 105, "annotations": []}
{"role": "volunteer", "content": "For the last term", "session_id": 17208, "sequence_id": 106, "annotations": []}
{"role": "student", "content": "huh", "session_id": 17208, "sequence_id": 107, "annotations": []}
{"role": "volunteer", "content": "We always use the denominator of the original question", "session_id": 17208, "sequence_id": 108, "annotations": []}
{"role": "student", "content": "thank youu", "session_id": 17208, "sequence_id": 109, "annotations": []}
{"role": "volunteer", "content": "No problem!", "session_id": 17208, "sequence_id": 110, "annotations": []}
{"role": "volunteer", "content": "Happy to help", "session_id": 17208, "sequence_id": 111, "annotations": []}
{"role": "volunteer", "content": "hello", "session_id": 17194, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "Hey!\n", "session_id": 17194, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "I put my first sheet on board I\u2019m on 17 I\u2019m doing every other odd until 71", "session_id": 17194, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "You mean finding h(1) ?", "session_id": 17194, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "I just wanna make sure my process is correct", "session_id": 17194, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "What do you get for h(1)?", "session_id": 17194, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "So I converted 1/2 to 0.5 and done 0.5-10=-9.5", "session_id": 17194, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "yes, that's right", "session_id": 17194, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "Ok so then I\u2019m ready to do 21", "session_id": 17194, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "that involves graphing", "session_id": 17194, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 17194, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "Did you graph it?", "session_id": 17194, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "Not yet cause I\u2019m trying to find out where  to start ", "session_id": 17194, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "You could start by plotting the top function. You could start by finding f(1))", "session_id": 17194, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "i uploaded some graph paper", "session_id": 17194, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "Mr. Evans t do you mean like so 2x graph that?\n", "session_id": 17194, "sequence_id": 15, "annotations": [{"pii_type": "PERSON", "surrogate": "Mr. Evans", "start": 0, "end": 9}]}
{"role": "volunteer", "content": "Yes, but only for values of x that are greater than or equal to 1", "session_id": 17194, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "it's a good idea to graph the endpoint, which in this case is x =1", "session_id": 17194, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "That point is not in the right place", "session_id": 17194, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "What point?\n", "session_id": 17194, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "I guess that I am not sure what you are doing.", "session_id": 17194, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "Me either\ud83d\ude02", "session_id": 17194, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "I\u2019m just being honest", "session_id": 17194, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "what is f(1)) ?", "session_id": 17194, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "not sure?", "session_id": 17194, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "2x", "session_id": 17194, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "yes, that is the equation to use for x =1.  So what is f(1))?  do you know what I mean by writing f(1))?", "session_id": 17194, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "No I guess", "session_id": 17194, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "the notation f(1)) means to plug in 1 for x.  the notation f( ) means that you plug in whatever is in those parentheses ( ) in for x and that gives you the value of y", "session_id": 17194, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "so in this case, where f(x) =2x, f(1)) =2*1 =2", "session_id": 17194, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "Ok", "session_id": 17194, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "so then the point you would plot for that would be (1,2)", "session_id": 17194, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "you plotted (2,1) not (1,2)", "session_id": 17194, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "hello?", "session_id": 17194, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "Hello Sarah, what do you need help with today?", "session_id": 17300, "sequence_id": 0, "annotations": [{"pii_type": "PERSON", "surrogate": "Sarah", "start": 6, "end": 11}]}
{"role": "student", "content": "hi", "session_id": 17300, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "Do you need help with this question on the board?", "session_id": 17300, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "Do you have any thought on some first step we can take here?", "session_id": 17300, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "yes", "session_id": 17300, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "Is there an equation form you will like to use here? Like the slope intercept form?", "session_id": 17300, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "-4/3x+14/3", "session_id": 17300, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "y=-4/3x+14/3", "session_id": 17300, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "That looks good to me!", "session_id": 17300, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "Great job!", "session_id": 17300, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "ok", "session_id": 17300, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "Do you need any help with this question? Feel free to try it yourself first", "session_id": 17300, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "yes", "session_id": 17300, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "Is there a first step you can think of?", "session_id": 17300, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "not really", "session_id": 17300, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "That's totally fine! Let's start with the problem, they gave us a graph instead of two points (like in the last problem). Is there any information we can get from the graph?", "session_id": 17300, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "the two points", "session_id": 17300, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "Exactly! Can you start with writing down the two points?", "session_id": 17300, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "yes", "session_id": 17300, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "(3,4) and (-3,-5)", "session_id": 17300, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "ok", "session_id": 17300, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "great job!", "session_id": 17300, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "now we have two points, can you try to find an equation?", "session_id": 17300, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "yes", "session_id": 17300, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "good job on calculating the slope! I do see one thing, please double check how you simplify the fraction in the last step here", "session_id": 17300, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "ok", "session_id": 17300, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "How is it going so far?", "session_id": 17300, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "Let me know if you have other questions! I will end the session shortly if you don't need any more help.", "session_id": 17300, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "Graphing lines on a coordinate plane", "session_id": 17347, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "Hi how can I help you today?", "session_id": 17347, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "Hello", "session_id": 17347, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "Nice to meet you", "session_id": 17347, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "Hope you're doing well", "session_id": 17347, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "Nice to meet you!", "session_id": 17347, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "So I wanted to understand how to graph specific lines on a coordinate plane", "session_id": 17347, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "Help me?", "session_id": 17347, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "Okay sure I can help you with that", "session_id": 17347, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "Let me show a picture ", "session_id": 17347, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "Okay take your time", "session_id": 17347, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "See the question labelled 4?", "session_id": 17347, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 17347, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "That", "session_id": 17347, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "do you have any idea about how to graph it?", "session_id": 17347, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "No", "session_id": 17347, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "so does it mean if we randomly take a x value and it is corresponding a y value", "session_id": 17347, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "so if we know x and y value then it means we have a point", "session_id": 17347, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "so that we can draw a graph", "session_id": 17347, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "is it make sense?", "session_id": 17347, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "Uh", "session_id": 17347, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "example.com/graph-image", "session_id": 17347, "sequence_id": 21, "annotations": [{"pii_type": "URL", "surrogate": "example.com/graph-image", "start": 0, "end": 23}]}
{"role": "student", "content": "Alex", "session_id": 17347, "sequence_id": 22, "annotations": [{"pii_type": "PERSON", "surrogate": "Alex", "start": 0, "end": 4}]}
{"role": "volunteer", "content": "this equation has an x and a y right? means that for each value of x, you can calculate a corresponding y value", "session_id": 17347, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 17347, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "and we can plug them into the equation to find the matching y", "session_id": 17347, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "What value is for the x and y?", "session_id": 17347, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "x is the independent variable that you choose, and y is the dependent variable that you calculate using the equation", "session_id": 17347, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "actually x doesn\u2019t have a single fixed value. You choose different values of x to calculate y, but usually we pick x values within the range shown on the graph", "session_id": 17347, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "such as x=0 x=1 x=-2", "session_id": 17347, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "Okay", "session_id": 17347, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "can you choose a x value first?", "session_id": 17347, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "and we can calculate the corresponding y value", "session_id": 17347, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "Any x?", "session_id": 17347, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "uhh the range of x on this graph is -6 to 6 right?", "session_id": 17347, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "so we just need this range of x", "session_id": 17347, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "Yup", "session_id": 17347, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "you can calculate each of them of course", "session_id": 17347, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "from -6 to 6", "session_id": 17347, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "My brain doesn't work\nIt's already like 10 here....\nPlease explain ", "session_id": 17347, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "Sorry", "session_id": 17347, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "its okay, for example y=x + 2\npick x = 0 \u2192 y = 2 \u2192 point (0, 2)\npick x = 1 \u2192 y = 3 \u2192 point (1, 3)\npick x = 2 \u2192 y = 4 \u2192 point (2, 4)\nand plot these points and draw a line through them", "session_id": 17347, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "Ahhhh", "session_id": 17347, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "I got it now", "session_id": 17347, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "Okay can you try to calculate y value first?", "session_id": 17347, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "choose a x value and plugging in the equation", "session_id": 17347, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "Can you look at the question on the board??\nThey ask y=3/4x+4", "session_id": 17347, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "So the y intercept is already 4", "session_id": 17347, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "Oh yess", "session_id": 17347, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "if we plug in x=0 we get y=4", "session_id": 17347, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "and we know a point right now!", "session_id": 17347, "sequence_id": 50, "annotations": []}
{"role": "student", "content": "The slope value is 3/4", "session_id": 17347, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "is -3/4 right", "session_id": 17347, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "hi are you still here?", "session_id": 17347, "sequence_id": 53, "annotations": []}
{"role": "student", "content": "Yes I am", "session_id": 17347, "sequence_id": 54, "annotations": []}
{"role": "student", "content": "The phone just glitched", "session_id": 17347, "sequence_id": 55, "annotations": []}
{"role": "student", "content": "Don't know \nWhenever I use the app\nIt just stops responding all of a sudden", "session_id": 17347, "sequence_id": 56, "annotations": []}
{"role": "student", "content": "Sorry", "session_id": 17347, "sequence_id": 57, "annotations": []}
{"role": "student", "content": "It's written -3/4", "session_id": 17347, "sequence_id": 58, "annotations": []}
{"role": "student", "content": "Yea", "session_id": 17347, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "its okay that happens sometimes", "session_id": 17347, "sequence_id": 60, "annotations": []}
{"role": "student", "content": "So then?", "session_id": 17347, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "Hello!", "session_id": 17356, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "How can I help you today?", "session_id": 17356, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "I need help with a homework assignment", "session_id": 17356, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "I can help with that, just so i know, how many questions is it?", "session_id": 17356, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "it's 34 questions total but I've already answered 10", "session_id": 17356, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "ok lets try to finish all of them", "session_id": 17356, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "would u mind pasting a couple in?", "session_id": 17356, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "so we can start on those?", "session_id": 17356, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "yes", "session_id": 17356, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "can I have a couple minutes to get a picture onto the board?", "session_id": 17356, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "yea for sure", "session_id": 17356, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "lmk when your sdone", "session_id": 17356, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "ok", "session_id": 17356, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "I'm on 11. I was confused what it meant by \"find the measure of each angle", "session_id": 17356, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "ok so basically", "session_id": 17356, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "your trying to find the measure of each of them so first you want to find x", "session_id": 17356, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "how would you find x?", "session_id": 17356, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "if you dont know its fine i can help", "session_id": 17356, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "I know how to find x but I was just wondering what angles I am supposed to find", "session_id": 17356, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "your trying to find angles QRT and TRS", "session_id": 17356, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "you have to plug x back in to get each one", "session_id": 17356, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "I think that QRS equals 180. is that part of the answer or no?", "session_id": 17356, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "I know I have to use that to find the other ones", "session_id": 17356, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "that is not part of the answer but your on the right track to finding the answer", "session_id": 17356, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "so I only need to find QRT and TRS for 11?", "session_id": 17356, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 17356, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "do you know how?", "session_id": 17356, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "yes", "session_id": 17356, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "ok perfect", "session_id": 17356, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "do it and lmk what u gte", "session_id": 17356, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "get", "session_id": 17356, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "so once I find those 2 that will be my whole answer?", "session_id": 17356, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 17356, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "ok", "session_id": 17356, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "QRS does = 180, right?", "session_id": 17356, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 17356, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "ok", "session_id": 17356, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "angle QRT=47 degrees", "session_id": 17356, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "angle TRS=133 degrees", "session_id": 17356, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "those are right, correct?", "session_id": 17356, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "ok let me check ur answer", "session_id": 17356, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "yes those are right", "session_id": 17356, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "good job!", "session_id": 17356, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "now try 12", "session_id": 17356, "sequence_id": 43, "annotations": []}
{"role": "student", "content": "so once I write those 2 down question 11 will be complete", "session_id": 17356, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "?", "session_id": 17356, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "Yup", "session_id": 17356, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "which angles do I have to find for 12?", "session_id": 17356, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "BAC and CAD", "session_id": 17356, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "ok", "session_id": 17356, "sequence_id": 49, "annotations": []}
{"role": "student", "content": "so I don't need to write down BAD?", "session_id": 17356, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "no BAD is already shown to be a right angle", "session_id": 17356, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "because of the little square in the corner of it", "session_id": 17356, "sequence_id": 52, "annotations": []}
{"role": "student", "content": "yeah, I know that it's 90 degrees, but I don't have to write that angle down right?", "session_id": 17356, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "nope", "session_id": 17356, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "its asking you to find the angles thathavent been found yet", "session_id": 17356, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "in this case those are BAC and CAD", "session_id": 17356, "sequence_id": 56, "annotations": []}
{"role": "student", "content": "ok", "session_id": 17356, "sequence_id": 57, "annotations": []}
{"role": "student", "content": "so once I have  those 2 written down 12 is done?", "session_id": 17356, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 17356, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "let me check your work", "session_id": 17356, "sequence_id": 60, "annotations": []}
{"role": "student", "content": "what work?", "session_id": 17356, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "oh i thought u did the questions already lol", "session_id": 17356, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "my bad", "session_id": 17356, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "keep going", "session_id": 17356, "sequence_id": 64, "annotations": []}
{"role": "student", "content": "I did 12", "session_id": 17356, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "what did you get for each agle?", "session_id": 17356, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "angle?", "session_id": 17356, "sequence_id": 67, "annotations": []}
{"role": "student", "content": "BAC=58 degrees", "session_id": 17356, "sequence_id": 68, "annotations": []}
{"role": "student", "content": "CAD=32 degrees", "session_id": 17356, "sequence_id": 69, "annotations": []}
{"role": "student", "content": "on 13 does it want me to find UVW and XYZ", "session_id": 17356, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "You got 12 right, good job!", "session_id": 17356, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "on 13...", "session_id": 17356, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "yes it wants you to find UVW and XYZ", "session_id": 17356, "sequence_id": 73, "annotations": []}
{"role": "student", "content": "ok", "session_id": 17356, "sequence_id": 74, "annotations": []}
{"role": "student", "content": "on 14 it wants us to find EFG and LMN right?", "session_id": 17356, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 17356, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "what did you get for 13 tho?", "session_id": 17356, "sequence_id": 77, "annotations": []}
{"role": "student", "content": "UVW=12", "session_id": 17356, "sequence_id": 78, "annotations": []}
{"role": "student", "content": "XYZ=78", "session_id": 17356, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "Yea ur right good job", "session_id": 17356, "sequence_id": 80, "annotations": []}
{"role": "volunteer", "content": "did u finish 14?", "session_id": 17356, "sequence_id": 81, "annotations": []}
{"role": "student", "content": "yes", "session_id": 17356, "sequence_id": 82, "annotations": []}
{"role": "volunteer", "content": "what did you get?", "session_id": 17356, "sequence_id": 83, "annotations": []}
{"role": "student", "content": "EFG=161 degrees and LMN=19 degrees", "session_id": 17356, "sequence_id": 84, "annotations": []}
{"role": "volunteer", "content": "yep ur right!", "session_id": 17356, "sequence_id": 85, "annotations": []}
{"role": "volunteer", "content": "would u like to paste the next couple questions in?", "session_id": 17356, "sequence_id": 86, "annotations": []}
{"role": "student", "content": "yes", "session_id": 17356, "sequence_id": 87, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 17356, "sequence_id": 88, "annotations": []}
{"role": "volunteer", "content": "also how many questions are left?", "session_id": 17356, "sequence_id": 89, "annotations": []}
{"role": "student", "content": "20", "session_id": 17356, "sequence_id": 90, "annotations": []}
{"role": "volunteer", "content": "is it all due tomorrow?", "session_id": 17356, "sequence_id": 91, "annotations": []}
{"role": "student", "content": "Technically it's past due but the teacher accepts late work for full credit", "session_id": 17356, "sequence_id": 92, "annotations": []}
{"role": "volunteer", "content": "ok lol", "session_id": 17356, "sequence_id": 93, "annotations": []}
{"role": "volunteer", "content": "well try to get as much done as possible", "session_id": 17356, "sequence_id": 94, "annotations": []}
{"role": "volunteer", "content": "paste in the next couple questions pls", "session_id": 17356, "sequence_id": 95, "annotations": []}
{"role": "student", "content": "ok", "session_id": 17356, "sequence_id": 96, "annotations": []}
{"role": "student", "content": "I have to go take a shower now. Can you stay on the line and I will come back when I am done?", "session_id": 17356, "sequence_id": 97, "annotations": []}
{"role": "volunteer", "content": "yea sure", "session_id": 17356, "sequence_id": 98, "annotations": []}
{"role": "volunteer", "content": "how long will it take tho?", "session_id": 17356, "sequence_id": 99, "annotations": []}
{"role": "volunteer", "content": "no rush lol", "session_id": 17356, "sequence_id": 100, "annotations": []}
{"role": "student", "content": "I'm not sure", "session_id": 17356, "sequence_id": 101, "annotations": []}
{"role": "volunteer", "content": "oh ok", "session_id": 17356, "sequence_id": 102, "annotations": []}
{"role": "volunteer", "content": "becuase I have to leave at 10:45", "session_id": 17356, "sequence_id": 103, "annotations": []}
{"role": "volunteer", "content": "so can you try to be back by like 10:35", "session_id": 17356, "sequence_id": 104, "annotations": []}
{"role": "student", "content": "what time is it for you currently", "session_id": 17356, "sequence_id": 105, "annotations": []}
{"role": "volunteer", "content": "10:16", "session_id": 17356, "sequence_id": 106, "annotations": []}
{"role": "volunteer", "content": "in like 10 mins lol", "session_id": 17356, "sequence_id": 107, "annotations": []}
{"role": "volunteer", "content": "just try to be done in 10 mins", "session_id": 17356, "sequence_id": 108, "annotations": []}
{"role": "student", "content": "ok. I will try to get back as soon as I can", "session_id": 17356, "sequence_id": 109, "annotations": []}
{"role": "student", "content": "I will let you know once I am bacj", "session_id": 17356, "sequence_id": 110, "annotations": []}
{"role": "student", "content": "*back", "session_id": 17356, "sequence_id": 111, "annotations": []}
{"role": "volunteer", "content": "yea for sure take your time", "session_id": 17356, "sequence_id": 112, "annotations": []}
{"role": "volunteer", "content": "hii are you back yet?", "session_id": 17356, "sequence_id": 113, "annotations": []}
{"role": "volunteer", "content": "just asking cuz i have to go soon sooo", "session_id": 17356, "sequence_id": 114, "annotations": []}
{"role": "volunteer", "content": "im going to leave the session in 10 mins if you dont come back by then", "session_id": 17356, "sequence_id": 115, "annotations": []}
{"role": "volunteer", "content": "ok sorry im going to have to end the session, bye have a nice rest of your night!", "session_id": 17356, "sequence_id": 116, "annotations": []}
{"role": "student", "content": "I'm back", "session_id": 17356, "sequence_id": 117, "annotations": []}
{"role": "volunteer", "content": "oh lol", "session_id": 17356, "sequence_id": 118, "annotations": []}
{"role": "volunteer", "content": "ok i think ill be able to do like 5 more questions with you", "session_id": 17356, "sequence_id": 119, "annotations": []}
{"role": "volunteer", "content": "and then i have to go", "session_id": 17356, "sequence_id": 120, "annotations": []}
{"role": "student", "content": "ok", "session_id": 17356, "sequence_id": 121, "annotations": []}
{"role": "student", "content": "I'm on 15. What are linear pairs?", "session_id": 17356, "sequence_id": 122, "annotations": []}
{"role": "volunteer", "content": "its basically asking what angle and angle 1 create a line?", "session_id": 17356, "sequence_id": 123, "annotations": []}
{"role": "student", "content": "how many answers are ther", "session_id": 17356, "sequence_id": 124, "annotations": []}
{"role": "volunteer", "content": "one", "session_id": 17356, "sequence_id": 125, "annotations": []}
{"role": "student", "content": "angle 3?", "session_id": 17356, "sequence_id": 126, "annotations": []}
{"role": "volunteer", "content": "good job", "session_id": 17356, "sequence_id": 127, "annotations": []}
{"role": "volunteer", "content": "next one should be easy", "session_id": 17356, "sequence_id": 128, "annotations": []}
{"role": "student", "content": "so the answer for 15 is just \"angle 3\" and then that question is done?", "session_id": 17356, "sequence_id": 129, "annotations": []}
{"role": "volunteer", "content": "yep", "session_id": 17356, "sequence_id": 130, "annotations": []}
{"role": "volunteer", "content": "now for question 16", "session_id": 17356, "sequence_id": 131, "annotations": []}
{"role": "volunteer", "content": "whats the answer?", "session_id": 17356, "sequence_id": 132, "annotations": []}
{"role": "student", "content": "is there only 1?", "session_id": 17356, "sequence_id": 133, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 17356, "sequence_id": 134, "annotations": []}
{"role": "student", "content": "8?", "session_id": 17356, "sequence_id": 135, "annotations": []}
{"role": "volunteer", "content": "yes good job", "session_id": 17356, "sequence_id": 136, "annotations": []}
{"role": "volunteer", "content": "that is the final answer for 16", "session_id": 17356, "sequence_id": 137, "annotations": []}
{"role": "volunteer", "content": "now do 17", "session_id": 17356, "sequence_id": 138, "annotations": []}
{"role": "student", "content": "\"Yes because they are across from each other.\"?", "session_id": 17356, "sequence_id": 139, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 17356, "sequence_id": 140, "annotations": []}
{"role": "student", "content": "that is the full answer for 17?", "session_id": 17356, "sequence_id": 141, "annotations": []}
{"role": "volunteer", "content": "yep", "session_id": 17356, "sequence_id": 142, "annotations": []}
{"role": "student", "content": "ok", "session_id": 17356, "sequence_id": 143, "annotations": []}
{"role": "volunteer", "content": "now try 18", "session_id": 17356, "sequence_id": 144, "annotations": []}
{"role": "student", "content": "are 2 and 5 vertical angles?", "session_id": 17356, "sequence_id": 145, "annotations": []}
{"role": "volunteer", "content": "no they are not", "session_id": 17356, "sequence_id": 146, "annotations": []}
{"role": "volunteer", "content": "although they are across from each other you would also need to add angle 3 to angle 2 to make it equal to angle 5", "session_id": 17356, "sequence_id": 147, "annotations": []}
{"role": "student", "content": "would I say \"No because they are not equal.\"?", "session_id": 17356, "sequence_id": 148, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 17356, "sequence_id": 149, "annotations": []}
{"role": "volunteer", "content": "how many questions are left?", "session_id": 17356, "sequence_id": 150, "annotations": []}
{"role": "student", "content": "after 18 there is 16 more", "session_id": 17356, "sequence_id": 151, "annotations": []}
{"role": "volunteer", "content": "ok so i have to go but i think you will be fine with the questions, you know the informartion very well!", "session_id": 17356, "sequence_id": 152, "annotations": []}
{"role": "volunteer", "content": "sorry that i have to leave, you were great though.", "session_id": 17356, "sequence_id": 153, "annotations": []}
{"role": "student", "content": "you have to go now?", "session_id": 17356, "sequence_id": 154, "annotations": []}
{"role": "volunteer", "content": "actually i can do like 5 more questions and then ill go", "session_id": 17356, "sequence_id": 155, "annotations": []}
{"role": "volunteer", "content": "paste them in lol", "session_id": 17356, "sequence_id": 156, "annotations": []}
{"role": "student", "content": "oh ok", "session_id": 17356, "sequence_id": 157, "annotations": []}
{"role": "student", "content": "thanks", "session_id": 17356, "sequence_id": 158, "annotations": []}
{"role": "volunteer", "content": "yea ofc", "session_id": 17356, "sequence_id": 159, "annotations": []}
{"role": "volunteer", "content": "actually sorry i have to go lol", "session_id": 17356, "sequence_id": 160, "annotations": []}
{"role": "volunteer", "content": "u got this tho, you umderatdnt hat info!", "session_id": 17356, "sequence_id": 161, "annotations": []}
{"role": "volunteer", "content": "understand", "session_id": 17356, "sequence_id": 162, "annotations": []}
{"role": "student", "content": "oh. you have to go now?", "session_id": 17356, "sequence_id": 163, "annotations": []}
{"role": "volunteer", "content": "yea", "session_id": 17356, "sequence_id": 164, "annotations": []}
{"role": "volunteer", "content": "sorryyyyy", "session_id": 17356, "sequence_id": 165, "annotations": []}
{"role": "student", "content": "its ok", "session_id": 17356, "sequence_id": 166, "annotations": []}
{"role": "student", "content": "thanks for all of the help today", "session_id": 17356, "sequence_id": 167, "annotations": []}
{"role": "volunteer", "content": "yea ofc please remember to favorite me and give me a good rating!", "session_id": 17356, "sequence_id": 168, "annotations": []}
{"role": "volunteer", "content": "Hello! How can I help you?", "session_id": 17370, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "\n Hello, I need help with the word problems", "session_id": 17370, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "Ok!", "session_id": 17370, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "Two", "session_id": 17370, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "Text them out to me if you don't mind?", "session_id": 17370, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "1. How many marbles that are not blue could be added to the back so that the probability of choosing a blue marble becomes 1/10.\n\nYou have five red marbles, four blue marbles and three yellow marbles", "session_id": 17370, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "Ok! Lets start out with a statement", "session_id": 17370, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "How many marbles do you have in total and what color?", "session_id": 17370, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "2. Your team is in charge of games at the CMP amusement park. One of the games involves a robotic arm that randomly grabs a stuffed animal. You need to set up the game so that the probability of a customer grabbing a teddy bear is exactly 1/2 how would you set up the bin?", "session_id": 17370, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "Is it fine if we get to the second one later?", "session_id": 17370, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "Yeah sorry ", "session_id": 17370, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "We have 12 marbles in total", "session_id": 17370, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "Yes!", "session_id": 17370, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "and how many blue?", "session_id": 17370, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "4 marbles", "session_id": 17370, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "yes. could we develop a fraction of blue / total", "session_id": 17370, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "Sure", "session_id": 17370, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "What would that be?", "session_id": 17370, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "4/12?", "session_id": 17370, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "And can we simplify that?", "session_id": 17370, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "Uh I think so", "session_id": 17370, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "Yes!", "session_id": 17370, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "if we divide 12 by 4 what would we get", "session_id": 17370, "sequence_id": 22, "annotations": []}
{"role": "student", "content": " 3?", "session_id": 17370, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 17370, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "so the fraction would then be 1/3", "session_id": 17370, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "Now if we were to make that fraction 1/10 would we be adding to the numerator or denominator", "session_id": 17370, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "Numerator ", "session_id": 17370, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "Well, not really, since we would be making the number smaller", "session_id": 17370, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "for example, what is smaller-1/5 or 1/10", "session_id": 17370, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "Uh the -1/5?", "session_id": 17370, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "So sorry, i meant 1/5 or 1/10", "session_id": 17370, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "Oh ", "session_id": 17370, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "It\u2019s okay", "session_id": 17370, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "So now what would be smaller", "session_id": 17370, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "1/10?", "session_id": 17370, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "Yes", "session_id": 17370, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "So, using that same logic, to make 1/3 to 1/10 what would happen?", "session_id": 17370, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "Would the number get bigger or smaller", "session_id": 17370, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "?", "session_id": 17370, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "Bigger", "session_id": 17370, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "Almost!", "session_id": 17370, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "since you are getting a bigger value of the denominator, the fraction would be getting smaller", "session_id": 17370, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "remember how 1/10 is smallr than 1/5", "session_id": 17370, "sequence_id": 43, "annotations": []}
{"role": "student", "content": "YEAH", "session_id": 17370, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "So then 1/3 would get smaller to get to 1/10. Do you get it now?", "session_id": 17370, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "?", "session_id": 17370, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "No :<", "session_id": 17370, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "Ok, if you had a pizza, what would be a smaller slice", "session_id": 17370, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "1 slice out of 8 or 4 slices", "session_id": 17370, "sequence_id": 49, "annotations": []}
{"role": "student", "content": "1/8", "session_id": 17370, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "Yes!", "session_id": 17370, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "This shows how 1/8 is smaller than 4/8", "session_id": 17370, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "Now do you understand?", "session_id": 17370, "sequence_id": 53, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 17370, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "Okay, with this being said, to make 1/3 to 1/10 are you getting bigger or smaller", "session_id": 17370, "sequence_id": 55, "annotations": []}
{"role": "student", "content": "Smaller", "session_id": 17370, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "Yes!!!", "session_id": 17370, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "So if 4/12 is 1/3, 4/? is 1/10", "session_id": 17370, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "That is basically what we are figuring out", "session_id": 17370, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "To start, how many times do you have to multiply 4 to get 12", "session_id": 17370, "sequence_id": 60, "annotations": []}
{"role": "student", "content": "3?", "session_id": 17370, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 17370, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "So how many times do you have to multiple 4 to get 1/10", "session_id": 17370, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "since you did 4 times the denominator (3)", "session_id": 17370, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "to get 1/10 you will do 4 times the denominator (?)", "session_id": 17370, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "?", "session_id": 17370, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "?", "session_id": 17370, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "Do you understand how to do this?", "session_id": 17370, "sequence_id": 68, "annotations": []}
{"role": "student", "content": "No :(", "session_id": 17370, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "Ok-So since the denominator was 3 for 1/3, if we multiplied 4 times 3 we got 4/12 (which is the ratio of blue to total)", "session_id": 17370, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "Using this same principle, if we multiply 4 times 10 we will get?", "session_id": 17370, "sequence_id": 71, "annotations": []}
{"role": "student", "content": "40!!!!", "session_id": 17370, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "YES!", "session_id": 17370, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "But thats not it", "session_id": 17370, "sequence_id": 74, "annotations": []}
{"role": "volunteer", "content": "Since the question is saying how many marbles to add, we would do 40-?", "session_id": 17370, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "what would we subtract from 40", "session_id": 17370, "sequence_id": 76, "annotations": []}
{"role": "student", "content": "12?", "session_id": 17370, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "YES!!!!!!!!!!!!!!!!!!", "session_id": 17370, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "So what is 40-12", "session_id": 17370, "sequence_id": 79, "annotations": []}
{"role": "student", "content": "HOLD ON LET ME DO THE MATH FOR IT", "session_id": 17370, "sequence_id": 80, "annotations": []}
{"role": "volunteer", "content": "lol go ahead lol", "session_id": 17370, "sequence_id": 81, "annotations": []}
{"role": "student", "content": "32?", "session_id": 17370, "sequence_id": 82, "annotations": []}
{"role": "volunteer", "content": "Almost!", "session_id": 17370, "sequence_id": 83, "annotations": []}
{"role": "volunteer", "content": "here lets break it down a bit", "session_id": 17370, "sequence_id": 84, "annotations": []}
{"role": "volunteer", "content": "what is 40-10", "session_id": 17370, "sequence_id": 85, "annotations": []}
{"role": "student", "content": "30", "session_id": 17370, "sequence_id": 86, "annotations": []}
{"role": "volunteer", "content": "THEN do minus 2 more", "session_id": 17370, "sequence_id": 87, "annotations": []}
{"role": "student", "content": "28", "session_id": 17370, "sequence_id": 88, "annotations": []}
{"role": "volunteer", "content": "YAYAYYAYY!!!", "session_id": 17370, "sequence_id": 89, "annotations": []}
{"role": "volunteer", "content": "Thats the answer!", "session_id": 17370, "sequence_id": 90, "annotations": []}
{"role": "volunteer", "content": "Now we can get started on our second problem: 2. Your team is in charge of games at the CMP amusement park. One of the games involves a robotic arm that randomly grabs a stuffed animal. You need to set up the game so that the probability of a customer grabbing a teddy bear is exactly 1/2 how would you set up the bin?", "session_id": 17370, "sequence_id": 91, "annotations": []}
{"role": "volunteer", "content": "So what do we know straight from the beginning", "session_id": 17370, "sequence_id": 92, "annotations": []}
{"role": "volunteer", "content": "(What is the probability we need?", "session_id": 17370, "sequence_id": 93, "annotations": []}
{"role": "student", "content": "1/2?", "session_id": 17370, "sequence_id": 94, "annotations": []}
{"role": "volunteer", "content": "YES!", "session_id": 17370, "sequence_id": 95, "annotations": []}
{"role": "volunteer", "content": "This would mean that every two times someone used the stick, how many stuffed animals would we get", "session_id": 17370, "sequence_id": 96, "annotations": []}
{"role": "student", "content": "1?", "session_id": 17370, "sequence_id": 97, "annotations": []}
{"role": "volunteer", "content": "Yes", "session_id": 17370, "sequence_id": 98, "annotations": []}
{"role": "volunteer", "content": "So to make a machine you would need to ensure there is half teddy bears right", "session_id": 17370, "sequence_id": 99, "annotations": []}
{"role": "student", "content": "Okay ", "session_id": 17370, "sequence_id": 100, "annotations": []}
{"role": "volunteer", "content": "So if there were 50 other stuff we would need how many teddy bears", "session_id": 17370, "sequence_id": 101, "annotations": []}
{"role": "student", "content": "20?", "session_id": 17370, "sequence_id": 102, "annotations": []}
{"role": "volunteer", "content": "No, in this case it would be 50 since it is the otehr half", "session_id": 17370, "sequence_id": 103, "annotations": []}
{"role": "student", "content": "OH", "session_id": 17370, "sequence_id": 104, "annotations": []}
{"role": "volunteer", "content": "So in conclusion, we would need to make the machine have as many teddy bears as other prizes.", "session_id": 17370, "sequence_id": 105, "annotations": []}
{"role": "student", "content": "OKAY", "session_id": 17370, "sequence_id": 106, "annotations": []}
{"role": "volunteer", "content": "Anything else you need help with today?", "session_id": 17370, "sequence_id": 107, "annotations": []}
{"role": "student", "content": "I HAVE A BACKSIDE TO THE PAGE :(", "session_id": 17370, "sequence_id": 108, "annotations": []}
{"role": "volunteer", "content": "Ok give me the first question and we can take this on together!", "session_id": 17370, "sequence_id": 109, "annotations": []}
{"role": "volunteer", "content": "to the first question, what is the ratio of 4/12", "session_id": 17370, "sequence_id": 110, "annotations": []}
{"role": "student", "content": "What if you return to check on the bin and found that there was four teddy bears left and 12 other animals what could you do to add or remove from the bin to return the probability of selecting a teddy bear to 1/2?", "session_id": 17370, "sequence_id": 111, "annotations": []}
{"role": "volunteer", "content": "Yes!", "session_id": 17370, "sequence_id": 112, "annotations": []}
{"role": "volunteer", "content": "so since 4/12 is 1/3", "session_id": 17370, "sequence_id": 113, "annotations": []}
{"role": "volunteer", "content": "To make it 1/2 we would have to remove how many other stuff (not teddy bears)", "session_id": 17370, "sequence_id": 114, "annotations": []}
{"role": "student", "content": "Hi", "session_id": 13132, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "Hi, what do you need help with", "session_id": 13132, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "I need help with some math idk what its called", "session_id": 13132, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "For sure, can you show me it?", "session_id": 13132, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "what part do you need help with?", "session_id": 13132, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "Number 5", "session_id": 13132, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "does #5 say g(x) = 3/2(x)+1 when x=8", "session_id": 13132, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 13132, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "but it looks like the answer you got is correct, do you want me to explain it?", "session_id": 13132, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "Yes, I copied what my teacher wrote on the board", "session_id": 13132, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "can you show me how you are currently working it out on the whiteboard?", "session_id": 13132, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "or I can give you some pointers to start it", "session_id": 13132, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 13132, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "Some pointers", "session_id": 13132, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "it seems like you understood question 4, am I right about that?", "session_id": 13132, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 13132, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "Question 5 can be looked at in the same way, just like 3x is 3*x question 5 can be looked at like 3/2 * x", "session_id": 13132, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "does that help?", "session_id": 13132, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 13132, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "I got it", "session_id": 13132, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "Great!, do you need help with anything else?", "session_id": 13132, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "Yes ill take a picture and put it on the board", "session_id": 13132, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "Is this the same situation as the last problem?", "session_id": 13132, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "No", "session_id": 13132, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "it seems like you got the right answer though", "session_id": 13132, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "I copied what my teacher wrote on the board we are supposed to study from it", "session_id": 13132, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "I see", "session_id": 13132, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "so for these types of problems you want to isolate y on one side", "session_id": 13132, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "Why does it say by over y", "session_id": 13132, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "I think you meant to write 3y/3 not by / B", "session_id": 13132, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "Oh ok", "session_id": 13132, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "now does it make sense to you or should I continue explaining?", "session_id": 13132, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "Can you keep explaining", "session_id": 13132, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "For sure", "session_id": 13132, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "Like I said above in order to solve this problem you need to isolate y on one side, to do this your teacher subtracted 4x from both sides", "session_id": 13132, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "After getting 3y=-4x+12 you still need to get just y", "session_id": 13132, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "to do that your teacher divided both sides by 3 making 3y=y and -4x+12= (-4x+12)/3", "session_id": 13132, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "does that make sense?", "session_id": 13132, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 13132, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "Wait how did she get", "session_id": 13132, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "because she had 3y=-4x+12", "session_id": 13132, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "she divided both sides by 3", "session_id": 13132, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "to get  (-4x+12)/3", "session_id": 13132, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "It doesn't show thst step", "session_id": 13132, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "I think your teacher combined the step of subtracting 4x and dividing by 3", "session_id": 13132, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "Can yu show me down beloa", "session_id": 13132, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "Definitely", "session_id": 13132, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "Does that make sense?", "session_id": 13132, "sequence_id": 47, "annotations": []}
{"role": "student", "content": "Yes Im still reading it", "session_id": 13132, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "Wait why did yku switch it", "session_id": 13132, "sequence_id": 49, "annotations": []}
{"role": "student", "content": "You", "session_id": 13132, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "switch what?", "session_id": 13132, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "Switching it doesnt change the problem at all, its just that generally the x goes in front of the constant", "session_id": 13132, "sequence_id": 52, "annotations": []}
{"role": "student", "content": "Why", "session_id": 13132, "sequence_id": 53, "annotations": []}
{"role": "student", "content": "Plus 12", "session_id": 13132, "sequence_id": 54, "annotations": []}
{"role": "student", "content": "Instead of subtract", "session_id": 13132, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "Remember that the starting equation is basically +4x+3y=+12\nso by -4x from both sides 12 stays as +12 not -12", "session_id": 13132, "sequence_id": 56, "annotations": []}
{"role": "student", "content": "Ok", "session_id": 13132, "sequence_id": 57, "annotations": []}
{"role": "student", "content": "ThankYou for clarifying", "session_id": 13132, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "For sure", "session_id": 13132, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "do you need clarifying of anything else?", "session_id": 13132, "sequence_id": 60, "annotations": []}
{"role": "student", "content": "No", "session_id": 13132, "sequence_id": 61, "annotations": []}
{"role": "student", "content": "Im still reading the graph you drew", "session_id": 13132, "sequence_id": 62, "annotations": []}
{"role": "student", "content": "I mean the equation", "session_id": 13132, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "Let me know if you need more clarification on any step", "session_id": 13132, "sequence_id": 64, "annotations": []}
{"role": "student", "content": "Why dont you subtract 4y from the 12", "session_id": 13132, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "4y?", "session_id": 13132, "sequence_id": 66, "annotations": []}
{"role": "student", "content": "Remember", "session_id": 13132, "sequence_id": 67, "annotations": []}
{"role": "student", "content": "From each side", "session_id": 13132, "sequence_id": 68, "annotations": []}
{"role": "student", "content": "I mean 4x", "session_id": 13132, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "I did subtract 4x from the 12", "session_id": 13132, "sequence_id": 70, "annotations": []}
{"role": "student", "content": "But there's not", "session_id": 13132, "sequence_id": 71, "annotations": []}
{"role": "student", "content": "An 8", "session_id": 13132, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "you cant say that 12-4x=8 unless you know that x=1", "session_id": 13132, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "for example 12-4x=0 when x=3", "session_id": 13132, "sequence_id": 74, "annotations": []}
{"role": "student", "content": "Isn't x always 1 of its just there", "session_id": 13132, "sequence_id": 75, "annotations": []}
{"role": "student", "content": "Isn't x always 1 if its just there", "session_id": 13132, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "No, x can represent any value", "session_id": 13132, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "think of it kind of like a placeholder", "session_id": 13132, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "x can be any number", "session_id": 13132, "sequence_id": 79, "annotations": []}
{"role": "student", "content": "Ok", "session_id": 13132, "sequence_id": 80, "annotations": []}
{"role": "volunteer", "content": "do you want me to give you a practice problem?", "session_id": 13132, "sequence_id": 81, "annotations": []}
{"role": "student", "content": "No im ok", "session_id": 13132, "sequence_id": 82, "annotations": []}
{"role": "volunteer", "content": "okay, do you need more explanation on anything?", "session_id": 13132, "sequence_id": 83, "annotations": []}
{"role": "student", "content": "No im ok", "session_id": 13132, "sequence_id": 84, "annotations": []}
{"role": "student", "content": "ThankYou for helping me", "session_id": 13132, "sequence_id": 85, "annotations": []}
{"role": "student", "content": "Ill give you a nice review", "session_id": 13132, "sequence_id": 86, "annotations": []}
{"role": "volunteer", "content": "Glad I could help, have a good rest of your day", "session_id": 13132, "sequence_id": 87, "annotations": []}
{"role": "volunteer", "content": "thank you so much", "session_id": 13132, "sequence_id": 88, "annotations": []}
{"role": "student", "content": "Have a good day", "session_id": 13132, "sequence_id": 89, "annotations": []}
{"role": "student", "content": "You're Welcome", "session_id": 13132, "sequence_id": 90, "annotations": []}
{"role": "volunteer", "content": "Hello there!", "session_id": 13161, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "How may I help you today?", "session_id": 13161, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "Hi! I\u2019m just now learning about proofs and it\u2019s kind of confusing. ", "session_id": 13161, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "Okayy like triangle similarity proofs?", "session_id": 13161, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "Like paragraph proofs or like 2 column proofs", "session_id": 13161, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "could you provide an example?", "session_id": 13161, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "Since <A is congruent to <B Since \u2220A and \u2220B are complementary, their measures add up to 90\u00b0.\nBecause \u2220A \u2245 \u2220C, \u2220C has the same measure as \u2220A.\nTherefore, \u2220C and \u2220B also add up to 90", "session_id": 13161, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "okay so for this", "session_id": 13161, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "you need to prove that C and B add up to 90 yes?", "session_id": 13161, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 13161, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "okayy", "session_id": 13161, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "and you want to explain it in both paragraph and column?", "session_id": 13161, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 13161, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "okay first lets write out how it would be true in math", "session_id": 13161, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "so we know that angles A and B are both complimentary", "session_id": 13161, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "so that means that both added is 90 degrees", "session_id": 13161, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "lets draw that out", "session_id": 13161, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "okay so in simple math terms", "session_id": 13161, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "we can write this as A+B=90 right", "session_id": 13161, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "Okay!", "session_id": 13161, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "so noww", "session_id": 13161, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "next thing they give us is that", "session_id": 13161, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "A is equal to C", "session_id": 13161, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "so that means A and C are interchangeable right", "session_id": 13161, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "Alright!", "session_id": 13161, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "Alright!", "session_id": 13161, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "so that means we can swap out a with C", "session_id": 13161, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "hence C+B can also equal 90", "session_id": 13161, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "so now we take all of this", "session_id": 13161, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "and for paragraph mode we write a  summery of our thought process", "session_id": 13161, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "do you want to try with the things I said?", "session_id": 13161, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "Sure I\u2019ll try!", "session_id": 13161, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "okayy you got thiss", "session_id": 13161, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "Since <A and <B are complementary, the sum of their measures is 90\u00b0. This means m<A + m<B = 90\u00b0. Because \u2220A is congruent to <C, the measure of <C is equal to the measure of <A, or m<C = m<A. Substituting m<C for m<A in the equation gives m<C + m<B = 90\u00b0. ", "session_id": 13161, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "yessssssssssss", "session_id": 13161, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "thats how you do ittt", "session_id": 13161, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "you got the paragraph version down", "session_id": 13161, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "Thanks!!!", "session_id": 13161, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "Now we should try the column one tooo", "session_id": 13161, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "okay so for the column one its gonna be very similar", "session_id": 13161, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "can you use the whiteboard?", "session_id": 13161, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "Yes!", "session_id": 13161, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "okay so what you want to do", "session_id": 13161, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "is remember your thought proces?", "session_id": 13161, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "you want to put it step by step", "session_id": 13161, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "so what is the very first thing we identified", "session_id": 13161, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "That the angles of a and b were complementary ", "session_id": 13161, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "right", "session_id": 13161, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "and what does that mean", "session_id": 13161, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "They equal 90 degrees", "session_id": 13161, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "yepppp", "session_id": 13161, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "so what we do is", "session_id": 13161, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "in the step column", "session_id": 13161, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "we write the mathematical version of that", "session_id": 13161, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "so the", "session_id": 13161, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "A+B=90", "session_id": 13161, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "is what we write in the first column", "session_id": 13161, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "don", "session_id": 13161, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "don't forget the = ninetyy", "session_id": 13161, "sequence_id": 58, "annotations": []}
{"role": "student", "content": "I can\u2019t write ugh!!! I\u2019m on my phone so it makes it look big", "session_id": 13161, "sequence_id": 59, "annotations": []}
{"role": "student", "content": "I can\u2019t write ugh!!! I\u2019m on my phone so it makes it look big", "session_id": 13161, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "oh its okayyyy", "session_id": 13161, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "you just type it in chat", "session_id": 13161, "sequence_id": 62, "annotations": []}
{"role": "student", "content": "Okay A+B=90", "session_id": 13161, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "and how did we find out that the A and B is complimentary", "session_id": 13161, "sequence_id": 64, "annotations": []}
{"role": "student", "content": "That was already given", "session_id": 13161, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "yeppp", "session_id": 13161, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "so in the proof we literally just write given", "session_id": 13161, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "next what did we do", "session_id": 13161, "sequence_id": 68, "annotations": []}
{"role": "student", "content": "We said a and c were congruent", "session_id": 13161, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "right", "session_id": 13161, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "so angle A is = to angle C", "session_id": 13161, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "and how did we find that outtt", "session_id": 13161, "sequence_id": 72, "annotations": []}
{"role": "student", "content": "That was given too!", "session_id": 13161, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "yeppp", "session_id": 13161, "sequence_id": 74, "annotations": []}
{"role": "volunteer", "content": "now here is the trickey part", "session_id": 13161, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "how does knowing that", "session_id": 13161, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "A and C are congruent", "session_id": 13161, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "mean that the measure of A and measure of C are equal", "session_id": 13161, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "don't over think itt", "session_id": 13161, "sequence_id": 79, "annotations": []}
{"role": "student", "content": "Uhhhm I\u2019m not sure \ud83d\ude2d", "session_id": 13161, "sequence_id": 80, "annotations": []}
{"role": "volunteer", "content": "what's the definition of congruentt?", "session_id": 13161, "sequence_id": 81, "annotations": []}
{"role": "student", "content": "Equal", "session_id": 13161, "sequence_id": 82, "annotations": []}
{"role": "volunteer", "content": "yeppp", "session_id": 13161, "sequence_id": 83, "annotations": []}
{"role": "volunteer", "content": "so we know that the measures of both of them are equal because that is the definition of congruentt!!", "session_id": 13161, "sequence_id": 84, "annotations": []}
{"role": "volunteer", "content": "its super straight forward", "session_id": 13161, "sequence_id": 85, "annotations": []}
{"role": "student", "content": "ohh ok!", "session_id": 13161, "sequence_id": 86, "annotations": []}
{"role": "volunteer", "content": "we tend to skip that step because we automatically know that congruent means equal but unless they straight out say that measure of both are equal we have to mention that the measures are equal according to the definition", "session_id": 13161, "sequence_id": 87, "annotations": []}
{"role": "student", "content": "oh ok!", "session_id": 13161, "sequence_id": 88, "annotations": []}
{"role": "volunteer", "content": "yeppp", "session_id": 13161, "sequence_id": 89, "annotations": []}
{"role": "volunteer", "content": "so after that what did we do?", "session_id": 13161, "sequence_id": 90, "annotations": []}
{"role": "volunteer", "content": "after saying that A and C are equal to eachother", "session_id": 13161, "sequence_id": 91, "annotations": []}
{"role": "student", "content": "We said that C and B had to equal to each other as well", "session_id": 13161, "sequence_id": 92, "annotations": []}
{"role": "volunteer", "content": "noooooo we said that C+B is equal to 90 remember?", "session_id": 13161, "sequence_id": 93, "annotations": []}
{"role": "volunteer", "content": "we shouldn't usually assume things when it comes to this stuff. Unless they say it outright or we prove it somehow previously we shouldn't say it.", "session_id": 13161, "sequence_id": 94, "annotations": []}
{"role": "student", "content": "Ohh okay sorry", "session_id": 13161, "sequence_id": 95, "annotations": []}
{"role": "student", "content": "Ohh okay sorry", "session_id": 13161, "sequence_id": 96, "annotations": []}
{"role": "volunteer", "content": "its okayyyy no need to apologize its a common mistakee", "session_id": 13161, "sequence_id": 97, "annotations": []}
{"role": "volunteer", "content": "even I do it sometimess", "session_id": 13161, "sequence_id": 98, "annotations": []}
{"role": "student", "content": "I think I understand now from doing this so thank you so much! That helped cleaned up my mistakes more", "session_id": 13161, "sequence_id": 99, "annotations": []}
{"role": "volunteer", "content": "no problemmm", "session_id": 13161, "sequence_id": 100, "annotations": []}
{"role": "volunteer", "content": "do you want to finish the rest of the process or do you think you got it noww?", "session_id": 13161, "sequence_id": 101, "annotations": []}
{"role": "student", "content": "The last part would just be the definition of  complementary angles right? Or no?", "session_id": 13161, "sequence_id": 102, "annotations": []}
{"role": "volunteer", "content": "next you just have to say that C+B is equal to 90 and thats because of  the substitution rule. The substitution rule is where you go like if two numbers are equal then you can swap one for the other", "session_id": 13161, "sequence_id": 103, "annotations": []}
{"role": "student", "content": "And then substitution for C+B=90", "session_id": 13161, "sequence_id": 104, "annotations": []}
{"role": "volunteer", "content": "yesssssssss", "session_id": 13161, "sequence_id": 105, "annotations": []}
{"role": "volunteer", "content": "and once you get to the thing you want to show you are gooddd", "session_id": 13161, "sequence_id": 106, "annotations": []}
{"role": "volunteer", "content": "this is what the 2 column table would look like", "session_id": 13161, "sequence_id": 107, "annotations": []}
{"role": "student", "content": "Okay!! I don\u2019t think I have any more questions. I really appreciate the help.", "session_id": 13161, "sequence_id": 108, "annotations": []}
{"role": "student", "content": "This cleared a lot up.", "session_id": 13161, "sequence_id": 109, "annotations": []}
{"role": "volunteer", "content": "no problemmm if you want any more guidance make sure to make another request and one of us will help you out!!!!", "session_id": 13161, "sequence_id": 110, "annotations": []}
{"role": "volunteer", "content": "You did great learning this dear", "session_id": 13161, "sequence_id": 111, "annotations": []}
{"role": "student", "content": "Thanks! You did great helping me understand! Hope you have a great rest of ur day.", "session_id": 13161, "sequence_id": 112, "annotations": []}
{"role": "volunteer", "content": "You tooooo!!!! have a great dayyy", "session_id": 13161, "sequence_id": 113, "annotations": []}
{"role": "volunteer", "content": "Hi, what can I help you with?", "session_id": 13140, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "Do you have any questions you need help with or concepts you want to go over?", "session_id": 13140, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "Hi! I uploaded photos of the problems that I don\u2019t know how to solve. I\u2019m hoping for some help learning how to find the answers.", "session_id": 13140, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "Can you see the pics I added? Or should I add them in this thread?", "session_id": 13140, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "I can see them. It looks like the answers are already there but we can go over them.", "session_id": 13140, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "Yes\u2026 the answers are there\u2026 classmates gave me answers but I don\u2019t know how to get there. \n\nI was really good at algebra\u2026 but have had a hard time getting going with geometry this year", "session_id": 13140, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "Ok, don't worry. I can help with these questions.", "session_id": 13140, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "Awesome. Thank you", "session_id": 13140, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "Does this look familiar?", "session_id": 13140, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "This is a vertical angle. When 2 lines intersect, the opposite angles will always be congruent.", "session_id": 13140, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "I\u2019m not seeing a pic\u2026 or diagram. Should I get the app? Is that a better way to chat?", "session_id": 13140, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "I am drawing on the whiteboard just below the problems.", "session_id": 13140, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "You should be able to see it if you scroll down but let me know.", "session_id": 13140, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "Okay\u2026I see now. Sorry! \n\nThis is my first time using this platform\u2026", "session_id": 13140, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "Does everything I wrote down make sense?", "session_id": 13140, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "These are just vocab terms to remember.", "session_id": 13140, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "Yea they make sense", "session_id": 13140, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "Do you want to try solving this one?", "session_id": 13140, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "We can start by finding the volume.", "session_id": 13140, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "Try solving it on the whiteboard so I can see your work and help if you get stuck.", "session_id": 13140, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "For the pyramid and prism?", "session_id": 13140, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "Yes", "session_id": 13140, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "Okay", "session_id": 13140, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "Do you need help?", "session_id": 13140, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "I recommend using a calculator", "session_id": 13140, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "It\u2019s not letting me scroll down to have more room for my work", "session_id": 13140, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "Oh, I see what you mean", "session_id": 13140, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "Can I rewrite it a little bit smaller?", "session_id": 13140, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "Yea I know how to scroll down more", "session_id": 13140, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "Now", "session_id": 13140, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "I'm also a little new to using this. How do you scroll down more?", "session_id": 13140, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "Ok, now we need to find the volume of the pyramid and add that to 41472.", "session_id": 13140, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "You click the button on the far left and you just use your finger or mouse too", "session_id": 13140, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "How do you find the height of the pyramid? I know that 25 is the slant height but I don\u2019t know how to get the height of it", "session_id": 13140, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "we know the base must be 48x48 because it is on top of the rectangular prism", "session_id": 13140, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "Yea", "session_id": 13140, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "Unfortunatly, I am still unable to scroll down so I will do the work a little higher up.", "session_id": 13140, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "Okay", "session_id": 13140, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "I put the formula of the pyramid above.", "session_id": 13140, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "We just need to find the height now.", "session_id": 13140, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "Do you have any ideas on how to do that?", "session_id": 13140, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "I have no idea", "session_id": 13140, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "25 is the hypotenuse of another triangle", "session_id": 13140, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "Do you see it?", "session_id": 13140, "sequence_id": 43, "annotations": []}
{"role": "student", "content": "Yea what\u2019s the hypotenuse again?", "session_id": 13140, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "The hypotenuse is the longest side of a triangle.", "session_id": 13140, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "Do you know the pythagorean theorem", "session_id": 13140, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "Oh okay", "session_id": 13140, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "Its like the diagonal", "session_id": 13140, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "And not really", "session_id": 13140, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "This formula is true for all right triangles.", "session_id": 13140, "sequence_id": 50, "annotations": []}
{"role": "student", "content": "Okay", "session_id": 13140, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "c is always the hypotenuse and variables a and b and interchangeable.", "session_id": 13140, "sequence_id": 52, "annotations": []}
{"role": "student", "content": "The hypotenuse is 25 right?", "session_id": 13140, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "Yes", "session_id": 13140, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "Now we need to find length a and b", "session_id": 13140, "sequence_id": 55, "annotations": []}
{"role": "student", "content": "okay", "session_id": 13140, "sequence_id": 56, "annotations": []}
{"role": "student", "content": "Is length b 24?", "session_id": 13140, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "Yes", "session_id": 13140, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "Now we can apply the formula to solve for a", "session_id": 13140, "sequence_id": 59, "annotations": []}
{"role": "student", "content": "Okay", "session_id": 13140, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "Can you solve for a?", "session_id": 13140, "sequence_id": 61, "annotations": []}
{"role": "student", "content": "Yea let me try to do that right now", "session_id": 13140, "sequence_id": 62, "annotations": []}
{"role": "student", "content": "Is a 7?", "session_id": 13140, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "Yes", "session_id": 13140, "sequence_id": 64, "annotations": []}
{"role": "student", "content": "Okay I will put it in to the equation now", "session_id": 13140, "sequence_id": 65, "annotations": []}
{"role": "student", "content": "Is the volume of the pyramid 5,376?", "session_id": 13140, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "Yes", "session_id": 13140, "sequence_id": 67, "annotations": []}
{"role": "student", "content": "Okay then I\u2019ll add it to the volume of the rectangular prism", "session_id": 13140, "sequence_id": 68, "annotations": []}
{"role": "student", "content": "It\u2019s 46,848", "session_id": 13140, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "Great work!", "session_id": 13140, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "Do you want to find the surface area now?", "session_id": 13140, "sequence_id": 71, "annotations": []}
{"role": "student", "content": "Yea", "session_id": 13140, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "Is it ok if I erase the work?", "session_id": 13140, "sequence_id": 73, "annotations": []}
{"role": "student", "content": "Yea let me take a picture of it real quick", "session_id": 13140, "sequence_id": 74, "annotations": []}
{"role": "student", "content": "Okay you can now", "session_id": 13140, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "Any ideas on how to start?", "session_id": 13140, "sequence_id": 76, "annotations": []}
{"role": "student", "content": "Do you find the area of each side and add them? I feel like I remember a little", "session_id": 13140, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "Yes, we can start by finding the area of each side of the rectangular prism and do the same with the pyramid", "session_id": 13140, "sequence_id": 78, "annotations": []}
{"role": "student", "content": "Okay", "session_id": 13140, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "Remember, we are using area not volume", "session_id": 13140, "sequence_id": 80, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 13140, "sequence_id": 81, "annotations": []}
{"role": "student", "content": "Is the surface area of the rectangular prism 3,456?", "session_id": 13140, "sequence_id": 82, "annotations": []}
{"role": "volunteer", "content": "How did you get that?", "session_id": 13140, "sequence_id": 83, "annotations": []}
{"role": "student", "content": "I multiplied 18x48 which is 864 then I multiplied that by 4", "session_id": 13140, "sequence_id": 84, "annotations": []}
{"role": "student", "content": "Ohh wait", "session_id": 13140, "sequence_id": 85, "annotations": []}
{"role": "volunteer", "content": "I think you are forgetting about the bottom", "session_id": 13140, "sequence_id": 86, "annotations": []}
{"role": "student", "content": "I need to find the bases too", "session_id": 13140, "sequence_id": 87, "annotations": []}
{"role": "student", "content": "Yea", "session_id": 13140, "sequence_id": 88, "annotations": []}
{"role": "student", "content": "I\u2019ll find that too now", "session_id": 13140, "sequence_id": 89, "annotations": []}
{"role": "volunteer", "content": "You only need to find the area of one base because the pyramid is on the other one", "session_id": 13140, "sequence_id": 90, "annotations": []}
{"role": "student", "content": "Now I got 5,760", "session_id": 13140, "sequence_id": 91, "annotations": []}
{"role": "volunteer", "content": "Yes, thats right", "session_id": 13140, "sequence_id": 92, "annotations": []}
{"role": "student", "content": "Okay", "session_id": 13140, "sequence_id": 93, "annotations": []}
{"role": "volunteer", "content": "Now, lets find the SA of the pyramid.", "session_id": 13140, "sequence_id": 94, "annotations": []}
{"role": "student", "content": "Don\u2019t you do the base x height and divide that by two?", "session_id": 13140, "sequence_id": 95, "annotations": []}
{"role": "volunteer", "content": "Yes", "session_id": 13140, "sequence_id": 96, "annotations": []}
{"role": "student", "content": "Okay", "session_id": 13140, "sequence_id": 97, "annotations": []}
{"role": "student", "content": "Is it 4,704?", "session_id": 13140, "sequence_id": 98, "annotations": []}
{"role": "volunteer", "content": "How did you get that?", "session_id": 13140, "sequence_id": 99, "annotations": []}
{"role": "student", "content": "I did 1200 then divided that by two which is 600 then I multiplied that by 4 which is 2400 then I added that to 48x48 which is 4,704", "session_id": 13140, "sequence_id": 100, "annotations": []}
{"role": "volunteer", "content": "You actually don't need to add that to 48x48 because it is not on the \"surface\" so it is not part of the surface area.", "session_id": 13140, "sequence_id": 101, "annotations": []}
{"role": "volunteer", "content": "It would just be 2400", "session_id": 13140, "sequence_id": 102, "annotations": []}
{"role": "student", "content": "Ohh okay", "session_id": 13140, "sequence_id": 103, "annotations": []}
{"role": "volunteer", "content": "5760+2400=?", "session_id": 13140, "sequence_id": 104, "annotations": []}
{"role": "student", "content": "8160", "session_id": 13140, "sequence_id": 105, "annotations": []}
{"role": "volunteer", "content": "Yes, so that is the surface area of the entire figure.", "session_id": 13140, "sequence_id": 106, "annotations": []}
{"role": "student", "content": "Okay", "session_id": 13140, "sequence_id": 107, "annotations": []}
{"role": "volunteer", "content": "Sorry but I only have time for one more problem. Which one would you like to do?", "session_id": 13140, "sequence_id": 108, "annotations": []}
{"role": "student", "content": "Can we maybe do the rectangle one that is question 7?", "session_id": 13140, "sequence_id": 109, "annotations": []}
{"role": "volunteer", "content": "Ok", "session_id": 13140, "sequence_id": 110, "annotations": []}
{"role": "volunteer", "content": "We will need to use pythagorean theorem again for this problem", "session_id": 13140, "sequence_id": 111, "annotations": []}
{"role": "student", "content": "Okay", "session_id": 13140, "sequence_id": 112, "annotations": []}
{"role": "volunteer", "content": "Do you any ideas on where to start?", "session_id": 13140, "sequence_id": 113, "annotations": []}
{"role": "student", "content": "not really", "session_id": 13140, "sequence_id": 114, "annotations": []}
{"role": "volunteer", "content": "Lets try to find all the side lengths of this rectangle", "session_id": 13140, "sequence_id": 115, "annotations": []}
{"role": "student", "content": "Okay", "session_id": 13140, "sequence_id": 116, "annotations": []}
{"role": "volunteer", "content": "Can you use the grid and pythagorean theorem to solve for side AB", "session_id": 13140, "sequence_id": 117, "annotations": []}
{"role": "student", "content": "Yea", "session_id": 13140, "sequence_id": 118, "annotations": []}
{"role": "student", "content": "I got 20?", "session_id": 13140, "sequence_id": 119, "annotations": []}
{"role": "student", "content": "I\u2019m not sure if that\u2019s right though for the side", "session_id": 13140, "sequence_id": 120, "annotations": []}
{"role": "volunteer", "content": "Lets go through this together", "session_id": 13140, "sequence_id": 121, "annotations": []}
{"role": "student", "content": "Okay", "session_id": 13140, "sequence_id": 122, "annotations": []}
{"role": "volunteer", "content": "It looks like you found c^2", "session_id": 13140, "sequence_id": 123, "annotations": []}
{"role": "volunteer", "content": "if c^2=20, then what is c", "session_id": 13140, "sequence_id": 124, "annotations": []}
{"role": "student", "content": "Do you square root 20?", "session_id": 13140, "sequence_id": 125, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 13140, "sequence_id": 126, "annotations": []}
{"role": "volunteer", "content": "Can you try finding CB?", "session_id": 13140, "sequence_id": 127, "annotations": []}
{"role": "student", "content": "Is it 4.47", "session_id": 13140, "sequence_id": 128, "annotations": []}
{"role": "student", "content": "Or do you just leave it like square root 20", "session_id": 13140, "sequence_id": 129, "annotations": []}
{"role": "volunteer", "content": "We should keep that as square root of 20 because it is technically more precise.", "session_id": 13140, "sequence_id": 130, "annotations": []}
{"role": "student", "content": "Okay", "session_id": 13140, "sequence_id": 131, "annotations": []}
{"role": "student", "content": "I got the square root of 45", "session_id": 13140, "sequence_id": 132, "annotations": []}
{"role": "volunteer", "content": "Yes, thats correct.", "session_id": 13140, "sequence_id": 133, "annotations": []}
{"role": "student", "content": "Okay", "session_id": 13140, "sequence_id": 134, "annotations": []}
{"role": "student", "content": "Do you multiply them now?", "session_id": 13140, "sequence_id": 135, "annotations": []}
{"role": "volunteer", "content": "Yeah, now we have to multiply them.", "session_id": 13140, "sequence_id": 136, "annotations": []}
{"role": "student", "content": "Okay", "session_id": 13140, "sequence_id": 137, "annotations": []}
{"role": "volunteer", "content": "You can just do 45x20 and put a square root over the answer.", "session_id": 13140, "sequence_id": 138, "annotations": []}
{"role": "student", "content": "It\u2019s 30", "session_id": 13140, "sequence_id": 139, "annotations": []}
{"role": "volunteer", "content": "Great, lets find the perimeter.", "session_id": 13140, "sequence_id": 140, "annotations": []}
{"role": "student", "content": "Okay", "session_id": 13140, "sequence_id": 141, "annotations": []}
{"role": "student", "content": "Do you add them now?", "session_id": 13140, "sequence_id": 142, "annotations": []}
{"role": "student", "content": "Should I do 20 + 45 +20 + 45 then square root it?", "session_id": 13140, "sequence_id": 143, "annotations": []}
{"role": "volunteer", "content": "When adding square roots, whatever is inside the square root needs to be the same.", "session_id": 13140, "sequence_id": 144, "annotations": []}
{"role": "volunteer", "content": "For example square root of 7 + square root of 3 can not be added together.", "session_id": 13140, "sequence_id": 145, "annotations": []}
{"role": "student", "content": "Oh okay", "session_id": 13140, "sequence_id": 146, "annotations": []}
{"role": "student", "content": "So how do we do this?", "session_id": 13140, "sequence_id": 147, "annotations": []}
{"role": "volunteer", "content": "we need to simplify the square roots first", "session_id": 13140, "sequence_id": 148, "annotations": []}
{"role": "volunteer", "content": "Do you know how to do this?", "session_id": 13140, "sequence_id": 149, "annotations": []}
{"role": "student", "content": "No", "session_id": 13140, "sequence_id": 150, "annotations": []}
{"role": "volunteer", "content": "Since square root of 20 = square root of 5 x 2 x 2, we can take out the 2.", "session_id": 13140, "sequence_id": 151, "annotations": []}
{"role": "student", "content": "Why do you take out the two?", "session_id": 13140, "sequence_id": 152, "annotations": []}
{"role": "volunteer", "content": "This is how we simplify square roots. Hopefully we can simplify square root of 45 to have the same root.", "session_id": 13140, "sequence_id": 153, "annotations": []}
{"role": "volunteer", "content": "do you want to try simplifying square root of 45?", "session_id": 13140, "sequence_id": 154, "annotations": []}
{"role": "student", "content": "I\u2019m a little confused", "session_id": 13140, "sequence_id": 155, "annotations": []}
{"role": "volunteer", "content": "Yeah sorry this is a more confusing topic.", "session_id": 13140, "sequence_id": 156, "annotations": []}
{"role": "volunteer", "content": "Let me explain it again.", "session_id": 13140, "sequence_id": 157, "annotations": []}
{"role": "student", "content": "Okay", "session_id": 13140, "sequence_id": 158, "annotations": []}
{"role": "volunteer", "content": "When we have a number inside of a square root such as 20, we can break it up into its factors and take out numbers that have a pair.", "session_id": 13140, "sequence_id": 159, "annotations": []}
{"role": "volunteer", "content": "20 = 5 x 2 x 2", "session_id": 13140, "sequence_id": 160, "annotations": []}
{"role": "student", "content": "Oh", "session_id": 13140, "sequence_id": 161, "annotations": []}
{"role": "volunteer", "content": "Since 2 has a pair, we can take the 2 outside of the square root", "session_id": 13140, "sequence_id": 162, "annotations": []}
{"role": "volunteer", "content": "If we were finding the square root of 4, 4 = 2 x 2, since 2 has a pair, we can take the 2 out of the square root.", "session_id": 13140, "sequence_id": 163, "annotations": []}
{"role": "volunteer", "content": "We are basically just square rooting a certain part of the number and leaving the rest inside.", "session_id": 13140, "sequence_id": 164, "annotations": []}
{"role": "student", "content": "Okay", "session_id": 13140, "sequence_id": 165, "annotations": []}
{"role": "volunteer", "content": "Can you try doing this with the square root of 45", "session_id": 13140, "sequence_id": 166, "annotations": []}
{"role": "student", "content": "I\u2019m sorry I don\u2019t know", "session_id": 13140, "sequence_id": 167, "annotations": []}
{"role": "volunteer", "content": "Ok, lets do this together.", "session_id": 13140, "sequence_id": 168, "annotations": []}
{"role": "volunteer", "content": "What are some factors of 45", "session_id": 13140, "sequence_id": 169, "annotations": []}
{"role": "student", "content": "15x3", "session_id": 13140, "sequence_id": 170, "annotations": []}
{"role": "volunteer", "content": "Can we break up 15 even more?", "session_id": 13140, "sequence_id": 171, "annotations": []}
{"role": "student", "content": "5x3", "session_id": 13140, "sequence_id": 172, "annotations": []}
{"role": "volunteer", "content": "Since 3 has a pair, we can take that out of the square root and leave the 5 inside.", "session_id": 13140, "sequence_id": 173, "annotations": []}
{"role": "student", "content": "So it would be 5 then the square root of 3", "session_id": 13140, "sequence_id": 174, "annotations": []}
{"role": "student", "content": "Oh wait", "session_id": 13140, "sequence_id": 175, "annotations": []}
{"role": "student", "content": "The opposite", "session_id": 13140, "sequence_id": 176, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 13140, "sequence_id": 177, "annotations": []}
{"role": "student", "content": "3 then the square root of 5", "session_id": 13140, "sequence_id": 178, "annotations": []}
{"role": "volunteer", "content": "Now that we simplified the square roots, lets get back to the problem.", "session_id": 13140, "sequence_id": 179, "annotations": []}
{"role": "student", "content": "Okay", "session_id": 13140, "sequence_id": 180, "annotations": []}
{"role": "volunteer", "content": "Now that the square root is the same, we can just add 2+2+3+3", "session_id": 13140, "sequence_id": 181, "annotations": []}
{"role": "student", "content": "Okay", "session_id": 13140, "sequence_id": 182, "annotations": []}
{"role": "volunteer", "content": "If you put 10 root 5 into a calculator you should get 22.4", "session_id": 13140, "sequence_id": 183, "annotations": []}
{"role": "volunteer", "content": "Ok, I need to go now", "session_id": 13140, "sequence_id": 184, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 13140, "sequence_id": 185, "annotations": []}
{"role": "student", "content": "Okay", "session_id": 13140, "sequence_id": 186, "annotations": []}
{"role": "volunteer", "content": "Great work today!", "session_id": 13140, "sequence_id": 187, "annotations": []}
{"role": "student", "content": "Thank you so much", "session_id": 13140, "sequence_id": 188, "annotations": []}
{"role": "student", "content": "hiiii", "session_id": 13158, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "Hi!", "session_id": 13158, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "How can I help you?", "session_id": 13158, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "hallo!", "session_id": 13158, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "I have a math midterm tomorrow", "session_id": 13158, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "and my teacher posted the study guide for it", "session_id": 13158, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "I was wondering if we could go through it together", "session_id": 13158, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "Yeah of course lets do it!", "session_id": 13158, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "Chloe", "session_id": 13158, "sequence_id": 8, "annotations": [{"pii_type": "PERSON", "surrogate": "Chloe", "start": 0, "end": 5}]}
{"role": "volunteer", "content": "Its just these 5 questions correct?", "session_id": 13158, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "in total there is 22 questions but there are sections and this is the first section", "session_id": 13158, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "Oh okay cool", "session_id": 13158, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "Alright so lets gets started then", "session_id": 13158, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "Alex I am ready whenever you are", "session_id": 13158, "sequence_id": 13, "annotations": [{"pii_type": "PERSON", "surrogate": "Alex", "start": 0, "end": 4}]}
{"role": "volunteer", "content": "Sam so what do you think the answer to the first question is", "session_id": 13158, "sequence_id": 14, "annotations": [{"pii_type": "PERSON", "surrogate": "Sam", "start": 0, "end": 3}]}
{"role": "volunteer", "content": "Or are you unsure", "session_id": 13158, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "i think I know it", "session_id": 13158, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "since point a, d, and e are on the same line I think that would make it a collinear point", "session_id": 13158, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "Yes!", "session_id": 13158, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "Collinear means the points are on the same line.", "session_id": 13158, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "So yes that would be correct", "session_id": 13158, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "Okay lets go to the next one", "session_id": 13158, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "What do you think this one is>", "session_id": 13158, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "?", "session_id": 13158, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "lemme look into it", "session_id": 13158, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "Okay!", "session_id": 13158, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "I'm not sure about this one because I think it could be a variety of different answers", "session_id": 13158, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "Just give me a guess and then I'll explain the correct answer", "session_id": 13158, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "well can I tell u all the answers I think it is and with the explanation?", "session_id": 13158, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "Yea sure", "session_id": 13158, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "I think the intersection of the plane is line BD", "session_id": 13158, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "because the two planes share the points b and d so the line that goes through both of them is line BD which makes that their intersection", "session_id": 13158, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "or it could be line DEF", "session_id": 13158, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "So close! The answer is line segment BD because", "session_id": 13158, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "BD isn't a line", "session_id": 13158, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "because the intersection of the two is a line where they meet. the shape is a 3D shape and plane P is one of the flat surfaces. the plane with points A, B, and D is another flat surface. the line where they cross is the line through d, e, and f", "session_id": 13158, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "ohh", "session_id": 13158, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 13158, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "so my first answer is correct?", "session_id": 13158, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "Well you said line but the answer is line segment", "session_id": 13158, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "ah I see", "session_id": 13158, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "that makes sense now", "session_id": 13158, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "Alr I have to go now unfortunately!", "session_id": 13158, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "Try with another tutor!", "session_id": 13158, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "Hello How are you?", "session_id": 13524, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "Hello!", "session_id": 13524, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "I\u2019m alright, how are you?", "session_id": 13524, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "I am finr tnx", "session_id": 13524, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "How can I help?", "session_id": 13524, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "I\u2019d just need help solving this problem, and graphing it. :)", "session_id": 13524, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "OK I will read it Pls wait", "session_id": 13524, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "OK after the relation, are those instructions how to actually enter the answer in the computer?", "session_id": 13524, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "Yes I just need to graph it once I have an answer", "session_id": 13524, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 13524, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "have u solved any othre inequalitieis?", "session_id": 13524, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "I have, but this one confused me with its many variables", "session_id": 13524, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "I see", "session_id": 13524, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 13524, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "Are you able to write on the whiteboard?", "session_id": 13524, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 13524, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "OK pls write the inequality as it si then we will work on it OK?", "session_id": 13524, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "is*", "session_id": 13524, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "good", "session_id": 13524, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "Is there a minus beofre the 3d on the left?", "session_id": 13524, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 13524, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 13524, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "we will try to remeber tht", "session_id": 13524, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "OK any idea what we shoudl do first?", "session_id": 13524, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "Add the negative 1 to 11, and 15?", "session_id": 13524, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "let me think", "session_id": 13524, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "Or positive I suppose", "session_id": 13524, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "do you mean add 1 to each \"part?", "session_id": 13524, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 13524, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "OK that is good", "session_id": 13524, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "but I htink I have a bette idea OK?", "session_id": 13524, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "better", "session_id": 13524, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "we might want to get d alone in the middle would that be good?", "session_id": 13524, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "Yes that\u2019s another way, so for that we would add the 3 to each variable?", "session_id": 13524, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "do you add 3d to each?", "session_id": 13524, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 13524, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "yes that is good", "session_id": 13524, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "can u do that ?", "session_id": 13524, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "rember we have a minus at far left", "session_id": 13524, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "Right so that means they would cancel out correct?", "session_id": 13524, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 13524, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "so 4d in the middle and no d anywhere ea;ase", "session_id": 13524, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "else*", "session_id": 13524, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "do u agree", "session_id": 13524, "sequence_id": 43, "annotations": []}
{"role": "student", "content": "I agree", "session_id": 13524, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "OK can u write that on the board?", "session_id": 13524, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "Good but beofre the 15 I think you need <=   not <", "session_id": 13524, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "I will write", "session_id": 13524, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "See the \"pink\"?", "session_id": 13524, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "Yes right sorry", "session_id": 13524, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 13524, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "Now what about the 11 in the middle?", "session_id": 13524, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "We subtract that on both sides", "session_id": 13524, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "yes subtract 11 \"everywhere\"", "session_id": 13524, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "pls do that", "session_id": 13524, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "excellent", "session_id": 13524, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "now how can we change 4d to d?", "session_id": 13524, "sequence_id": 56, "annotations": []}
{"role": "student", "content": "Last thing to do would be to divide everything by 4 correct?", "session_id": 13524, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 13524, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "Now a comment", "session_id": 13524, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "since 4 is positive that is fine", "session_id": 13524, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "IF it were negative it would reverse the inequality DO u know that?", "session_id": 13524, "sequence_id": 61, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 13524, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "wait", "session_id": 13524, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "it does not reverse", "session_id": 13524, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "since 4 > 0", "session_id": 13524, "sequence_id": 65, "annotations": []}
{"role": "student", "content": "What do you mean?", "session_id": 13524, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "I will write", "session_id": 13524, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "my writing is ot so good but do you see what I mean?", "session_id": 13524, "sequence_id": 68, "annotations": []}
{"role": "student", "content": "Yes but shouldn\u2019t the sign change since we have divided by a negative?", "session_id": 13524, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "Yes but we divided all by 4 ad 4 is *not* meg", "session_id": 13524, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "neg*", "session_id": 13524, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "see what I wrote", "session_id": 13524, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "My commenbt was correct but I htink it was confusing", "session_id": 13524, "sequence_id": 73, "annotations": []}
{"role": "student", "content": "Alright that makes sense", "session_id": 13524, "sequence_id": 74, "annotations": []}
{"role": "volunteer", "content": "OK so I think we have the answer", "session_id": 13524, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "Now can you grpah it?", "session_id": 13524, "sequence_id": 76, "annotations": []}
{"role": "student", "content": "Like that?", "session_id": 13524, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "wait I will scroll", "session_id": 13524, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 13524, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "and what kind of dots at each end  open or closed?", "session_id": 13524, "sequence_id": 80, "annotations": []}
{"role": "student", "content": "Closed", "session_id": 13524, "sequence_id": 81, "annotations": []}
{"role": "volunteer", "content": "I agree", "session_id": 13524, "sequence_id": 82, "annotations": []}
{"role": "volunteer", "content": "Did you see the cnfetti?", "session_id": 13524, "sequence_id": 83, "annotations": []}
{"role": "student", "content": "Yes!", "session_id": 13524, "sequence_id": 84, "annotations": []}
{"role": "student", "content": "Thank youuu", "session_id": 13524, "sequence_id": 85, "annotations": []}
{"role": "volunteer", "content": "good", "session_id": 13524, "sequence_id": 86, "annotations": []}
{"role": "volunteer", "content": "OK might you have a TI-84 cal;ciultor?", "session_id": 13524, "sequence_id": 87, "annotations": []}
{"role": "student", "content": "Unfortunately not", "session_id": 13524, "sequence_id": 88, "annotations": []}
{"role": "volunteer", "content": "OK no problem", "session_id": 13524, "sequence_id": 89, "annotations": []}
{"role": "volunteer", "content": "I think they can grpah inequal", "session_id": 13524, "sequence_id": 90, "annotations": []}
{"role": "volunteer", "content": "But thii fine", "session_id": 13524, "sequence_id": 91, "annotations": []}
{"role": "volunteer", "content": "you did vey well", "session_id": 13524, "sequence_id": 92, "annotations": []}
{"role": "volunteer", "content": "very*", "session_id": 13524, "sequence_id": 93, "annotations": []}
{"role": "volunteer", "content": "sorry I confsuded you about the sign", "session_id": 13524, "sequence_id": 94, "annotations": []}
{"role": "student", "content": "No problem you explained it very well!", "session_id": 13524, "sequence_id": 95, "annotations": []}
{"role": "volunteer", "content": "Good thanks", "session_id": 13524, "sequence_id": 96, "annotations": []}
{"role": "student", "content": "Have a lovely day!", "session_id": 13524, "sequence_id": 97, "annotations": []}
{"role": "volunteer", "content": "You too BYE BYE", "session_id": 13524, "sequence_id": 98, "annotations": []}
{"role": "student", "content": ":]", "session_id": 13524, "sequence_id": 99, "annotations": []}
{"role": "volunteer", "content": "Hi Liam", "session_id": 13550, "sequence_id": 0, "annotations": [{"pii_type": "PERSON", "surrogate": "Liam", "start": 3, "end": 7}]}
{"role": "student", "content": "Hello could you help me understand inverse trig functions", "session_id": 13550, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "like with derivatives and implicit differentiation", "session_id": 13550, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "OK. Do you have a specific question or problem you'd like to work on?", "session_id": 13550, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "I guess just understanding in general but let me pull one up", "session_id": 13550, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "have you taken calculus?", "session_id": 13550, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "Yes.", "session_id": 13550, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "Okay, im in BC not AB but that was the only option", "session_id": 13550, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "No problem.", "session_id": 13550, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "The problem shows how to find the derivative of the \"inverse tangent\" function.", "session_id": 13550, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "i know the derivative of the inverse tan and the inverses of trig functions and are familiar with that", "session_id": 13550, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "okay", "session_id": 13550, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "So you need help with \"implicit differentiation\" ?", "session_id": 13550, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "no just this concept like why change sec squared y to Noah squared Tampa and how then did it transform to x", "session_id": 13550, "sequence_id": 13, "annotations": [{"pii_type": "PERSON", "surrogate": "Noah", "start": 54, "end": 58}, {"pii_type": "LOCATION", "surrogate": "Tampa", "start": 67, "end": 72}]}
{"role": "student", "content": "why does tan y =x", "session_id": 13550, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "Let's start with sec^2(y) = tan^2(y)+1. It's a trigonometric identity. I can explain if you wish.", "session_id": 13550, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "i am familar with the concept", "session_id": 13550, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "i dont need help with that", "session_id": 13550, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "So you need help with tan y = x?", "session_id": 13550, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "i guess yes", "session_id": 13550, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "like i understand when im looking at it but when im doing an actual problem im scared im going ot mess up", "session_id": 13550, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "let me replace it with an actual problem", "session_id": 13550, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "OK.", "session_id": 13550, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "so finding the derivative", "session_id": 13550, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "I think you mean something a bit different. I'll write.", "session_id": 13550, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "okay", "session_id": 13550, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "Is this what you meant?", "session_id": 13550, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "yes apolgies", "session_id": 13550, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "is all i do is plug in x/2 into the derivative of inverse sin", "session_id": 13550, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "Yes. You also need the chain rule.", "session_id": 13550, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "I can show you if you wish.", "session_id": 13550, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "i know the chain rule", "session_id": 13550, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "is it purely just 1/ the square root of (x/2)^2-1) switch the 1 and x/2", "session_id": 13550, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "It would be: 1/\u221a(1-(x/2)^2)*(1/2).", "session_id": 13550, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "adn the 1/2 is from the chain rule?", "session_id": 13550, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "Correct.", "session_id": 13550, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "okay i think i get that it seems simple enough", "session_id": 13550, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "Awesome!", "session_id": 13550, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "could i ask one more questions?", "session_id": 13550, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "Sure.", "session_id": 13550, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "You'll need to use implicit differentiation to solve this problem.", "session_id": 13550, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "okay", "session_id": 13550, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "would the first step be e to the y - e to the y^2 * 2y*dy/dx=1-3x^2", "session_id": 13550, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "Yes. Then solve the equation for dy/dx = ?", "session_id": 13550, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "You forget one thing.", "session_id": 13550, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "*forgot", "session_id": 13550, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "The first term would be (e^y)*dy/dx.", "session_id": 13550, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "oh oh is it e*dy/dx - 2ye to the dy/dx", "session_id": 13550, "sequence_id": 47, "annotations": []}
{"role": "student", "content": "ah i see", "session_id": 13550, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "and -2yeto the y^2 *dy/dx is because of the chain rule?", "session_id": 13550, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "Yes.", "session_id": 13550, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "I wrote above your uploaded page.", "session_id": 13550, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "okay thanks!", "session_id": 13550, "sequence_id": 52, "annotations": []}
{"role": "student", "content": "so whenever you have e the power (in this case y ^2) will be what we are using for chain rule?", "session_id": 13550, "sequence_id": 53, "annotations": []}
{"role": "student", "content": "like it would be f of the deravitive of f(g(x))*g(x)", "session_id": 13550, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "Yes. [f(g(x))]' = f'(g(x))*g'(x).", "session_id": 13550, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "I'll write more details to explain.", "session_id": 13550, "sequence_id": 56, "annotations": []}
{"role": "student", "content": "thank you", "session_id": 13550, "sequence_id": 57, "annotations": []}
{"role": "student", "content": "but what woluld the derivative of f be", "session_id": 13550, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "If you have e^u, for example, then d(e^u)/dx = e^u*du/dx.", "session_id": 13550, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "That's because the derivative of e^x is itself e^x.", "session_id": 13550, "sequence_id": 60, "annotations": []}
{"role": "student", "content": "ah i see", "session_id": 13550, "sequence_id": 61, "annotations": []}
{"role": "student", "content": "I think that's all i need help with", "session_id": 13550, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "OK. We can end the session. Have a good evening.", "session_id": 13550, "sequence_id": 63, "annotations": []}
{"role": "student", "content": "you too thank you", "session_id": 13550, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "hello! how can i help?", "session_id": 13583, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "hi", "session_id": 13583, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "i just want to learn the topic of double numberlines more", "session_id": 13583, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "okay! can you give me a practice problem", "session_id": 13583, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "yes", "session_id": 13583, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "wait im not sure", "session_id": 13583, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "i cant think of a problem", "session_id": 13583, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "do you have like a problem", "session_id": 13583, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "ok let me draw", "session_id": 13583, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "this is in my workbook in math class", "session_id": 13583, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "okay thank you!", "session_id": 13583, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "yw", "session_id": 13583, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "do you see it?", "session_id": 13583, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "of course!", "session_id": 13583, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "so i think the answer is 0.5", "session_id": 13583, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "correct", "session_id": 13583, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": ":confetti:", "session_id": 13583, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "lol", "session_id": 13583, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "i think the next one is 1.5", "session_id": 13583, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "yup!", "session_id": 13583, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "okay", "session_id": 13583, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "i just drew a problem out", "session_id": 13583, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "can you find the tick mark values?", "session_id": 13583, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "no", "session_id": 13583, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "i need help", "session_id": 13583, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "okay", "session_id": 13583, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "heres the formula", "session_id": 13583, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "so final is 8", "session_id": 13583, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "and start is 5 because that is what we are given", "session_id": 13583, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "yes", "session_id": 13583, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "how many spaces are between 5 and 8?", "session_id": 13583, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "3", "session_id": 13583, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "4*", "session_id": 13583, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "correct!", "session_id": 13583, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "so can you simplify this fraction?", "session_id": 13583, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "3/4", "session_id": 13583, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "yup!", "session_id": 13583, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "so what value would the blue question mark be?", "session_id": 13583, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "3/4", "session_id": 13583, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "ohh", "session_id": 13583, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "oh wait", "session_id": 13583, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "3 3/4", "session_id": 13583, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "not quite", "session_id": 13583, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "remember you have to add 3/4 to the left value", "session_id": 13583, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "so what is the value left of the question mark?", "session_id": 13583, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "5 3/4", "session_id": 13583, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "correct!!", "session_id": 13583, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "okay with that, can you finish the rest?", "session_id": 13583, "sequence_id": 47, "annotations": []}
{"role": "student", "content": "yes", "session_id": 13583, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "hmm wait", "session_id": 13583, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "i think its actually 3/5", "session_id": 13583, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "look", "session_id": 13583, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "oh", "session_id": 13583, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "sorry, its actually 3/5 so that means the blue question mark is 5 3/5", "session_id": 13583, "sequence_id": 53, "annotations": []}
{"role": "student", "content": "yes", "session_id": 13583, "sequence_id": 54, "annotations": []}
{"role": "student", "content": "its okay", "session_id": 13583, "sequence_id": 55, "annotations": []}
{"role": "student", "content": "ok done", "session_id": 13583, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "good job :)", "session_id": 13583, "sequence_id": 57, "annotations": []}
{"role": "student", "content": "yay", "session_id": 13583, "sequence_id": 58, "annotations": []}
{"role": "student", "content": "ok i think i get it now", "session_id": 13583, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "okay great!", "session_id": 13583, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "would you like to learn something else?", "session_id": 13583, "sequence_id": 61, "annotations": []}
{"role": "student", "content": "Ben have a great evening", "session_id": 13583, "sequence_id": 62, "annotations": [{"pii_type": "PERSON", "surrogate": "Ben", "start": 0, "end": 3}]}
{"role": "student", "content": "its okay", "session_id": 13583, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "okayy", "session_id": 13583, "sequence_id": 64, "annotations": []}
{"role": "student", "content": "i am going to do my math hw now", "session_id": 13583, "sequence_id": 65, "annotations": []}
{"role": "student", "content": "ok byee", "session_id": 13583, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "you have a good evening as well", "session_id": 13583, "sequence_id": 67, "annotations": []}
{"role": "student", "content": ":)", "session_id": 13583, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "Hello!", "session_id": 13736, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "hello!", "session_id": 13736, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "so ill give you a list of the topics on my upcoming test that i stuggle with and we can go over them", "session_id": 13736, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "Sounds good :)", "session_id": 13736, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "turning different forms of qudartic equations into others forms (ex, standard to intercept), factoring, taking the square root, completing the square, graphing different forms of quadratic equations, and solving quadrtic word problems", "session_id": 13736, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "Ok:) lets start with the first one!", "session_id": 13736, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "alright!", "session_id": 13736, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "How do you think we would change this to intercept form?", "session_id": 13736, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "could we factor it?", "session_id": 13736, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "Yes!", "session_id": 13736, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "How would we factor this?", "session_id": 13736, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "we could do the X method, so 1 x -8", "session_id": 13736, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "then the numbers that sum up to 7", "session_id": 13736, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "so -1 and 8?", "session_id": 13736, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "Yes!", "session_id": 13736, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "How would that look in the equation?", "session_id": 13736, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "im not sre how to incorportaite it intot he equations", "session_id": 13736, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "ohh ok", "session_id": 13736, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "You just do (x+#)(x+#)!", "session_id": 13736, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "okok", "session_id": 13736, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "now what would we do?", "session_id": 13736, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "because i can maage to get to this point but never to the full equation", "session_id": 13736, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "That is it! It is in intercept form!", "session_id": 13736, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "ohh oops i got confused with vertex form", "session_id": 13736, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "And out x-intercepts here would be at 1 and -8!", "session_id": 13736, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "ok well then how would we go form intercept to vertex and from standard  to vertex?", "session_id": 13736, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "Lets start with standard.", "session_id": 13736, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "First we get all of the x to one side", "session_id": 13736, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "Do you understand how we got here?", "session_id": 13736, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "yes", "session_id": 13736, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "Then we complete the square!", "session_id": 13736, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "but i thought you said you need the x to one side, why'd you take c?", "session_id": 13736, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "all of the x's are not on the same side", "session_id": 13736, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "and I am going to change a number in this equation to make it nicer to solve.", "session_id": 13736, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "im confused, arent all the x's on the same side still? 8 was a constant so it doesnt have an x, right?", "session_id": 13736, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "so now we just have x^2 and 4x the only x's", "session_id": 13736, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "Yes! you do want all of the x's on the same side!", "session_id": 13736, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "ohh ok", "session_id": 13736, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "Do you know how to complete the square?", "session_id": 13736, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "taknig half ot the b term, square it and add that to both side?", "session_id": 13736, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "Yes!", "session_id": 13736, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "so +16", "session_id": 13736, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "Try again!", "session_id": 13736, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "oh oop i was looking at 8", "session_id": 13736, "sequence_id": 43, "annotations": []}
{"role": "student", "content": "ok so +4", "session_id": 13736, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "Yes!", "session_id": 13736, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "Then we can factor it!", "session_id": 13736, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "ok so we have (x+2) becuase 2 is the b/2 right?", "session_id": 13736, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "WE have the x+2 because it is what adds to 4 and multiplies to 4", "session_id": 13736, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "ohh ok so if we use the X for the equation on the right those are the X's we'd get", "session_id": 13736, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "Yes!", "session_id": 13736, "sequence_id": 50, "annotations": []}
{"role": "student", "content": "but would my reasoning also work or no?", "session_id": 13736, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "Yes!", "session_id": 13736, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "That is also a way to think of it!", "session_id": 13736, "sequence_id": 53, "annotations": []}
{"role": "student", "content": "ok so then to complete it to vertex form we would just subtract 12?", "session_id": 13736, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "Yes!", "session_id": 13736, "sequence_id": 55, "annotations": []}
{"role": "student", "content": "OKOK i get it now", "session_id": 13736, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "If we were to graph this, what would the vertex be at?", "session_id": 13736, "sequence_id": 57, "annotations": []}
{"role": "student", "content": "(-2, -12)", "session_id": 13736, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "Yes!", "session_id": 13736, "sequence_id": 59, "annotations": []}
{"role": "student", "content": "ohh ok", "session_id": 13736, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "Do you want another problem?", "session_id": 13736, "sequence_id": 61, "annotations": []}
{"role": "student", "content": "yess", "session_id": 13736, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "Change it to standard form.", "session_id": 13736, "sequence_id": 63, "annotations": []}
{"role": "student", "content": "x^2+2x-8?", "session_id": 13736, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "Excellent!!", "session_id": 13736, "sequence_id": 65, "annotations": []}
{"role": "student", "content": "yayyy", "session_id": 13736, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "Want another one?", "session_id": 13736, "sequence_id": 67, "annotations": []}
{"role": "student", "content": "yes lets do like 2 more before we move onto the next topic", "session_id": 13736, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "The good thing is, we are covering most of the topics right now!", "session_id": 13736, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "Change this to vertex form!", "session_id": 13736, "sequence_id": 70, "annotations": []}
{"role": "student", "content": "(x-5)^2-15?", "session_id": 13736, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "Not quite!", "session_id": 13736, "sequence_id": 72, "annotations": []}
{"role": "student", "content": "oh i think i know where i went ewrong", "session_id": 13736, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "The first thing we want to do for this one is make the x^2=1", "session_id": 13736, "sequence_id": 74, "annotations": []}
{"role": "volunteer", "content": "We can factor the 2 out of the x", "session_id": 13736, "sequence_id": 75, "annotations": []}
{"role": "student", "content": "yess exactly", "session_id": 13736, "sequence_id": 76, "annotations": []}
{"role": "student", "content": "can i jjust divide the equation by 2 and like never see that  again?", "session_id": 13736, "sequence_id": 77, "annotations": []}
{"role": "student", "content": "or do i have to group it out wih the parenthesis", "session_id": 13736, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "You have to group it out", "session_id": 13736, "sequence_id": 79, "annotations": []}
{"role": "student", "content": "ohh ok", "session_id": 13736, "sequence_id": 80, "annotations": []}
{"role": "volunteer", "content": "Because then on the other side you would have y/2", "session_id": 13736, "sequence_id": 81, "annotations": []}
{"role": "student", "content": "oh yes youre right", "session_id": 13736, "sequence_id": 82, "annotations": []}
{"role": "volunteer", "content": "What would we do from here?", "session_id": 13736, "sequence_id": 83, "annotations": []}
{"role": "student", "content": "(-4/2)^2 then add to both side", "session_id": 13736, "sequence_id": 84, "annotations": []}
{"role": "student", "content": "so +4", "session_id": 13736, "sequence_id": 85, "annotations": []}
{"role": "volunteer", "content": "Yes!", "session_id": 13736, "sequence_id": 86, "annotations": []}
{"role": "volunteer", "content": "But notice how we are adding it inside the parenthesis", "session_id": 13736, "sequence_id": 87, "annotations": []}
{"role": "volunteer", "content": "so we can not just add 4 to the other side", "session_id": 13736, "sequence_id": 88, "annotations": []}
{"role": "volunteer", "content": "We have to add 8", "session_id": 13736, "sequence_id": 89, "annotations": []}
{"role": "volunteer", "content": "Because in this case, we are adding 8 to the overall equation!", "session_id": 13736, "sequence_id": 90, "annotations": []}
{"role": "student", "content": "oh ok", "session_id": 13736, "sequence_id": 91, "annotations": []}
{"role": "volunteer", "content": "What would we do from here?", "session_id": 13736, "sequence_id": 92, "annotations": []}
{"role": "student", "content": "-10+8 so y-2= 2(x^2-4x+4)? what would we do with the side that has the parenthesis", "session_id": 13736, "sequence_id": 93, "annotations": []}
{"role": "volunteer", "content": "We would factor it!", "session_id": 13736, "sequence_id": 94, "annotations": []}
{"role": "student", "content": "ok so y-2= 2(x-2)(x-2)", "session_id": 13736, "sequence_id": 95, "annotations": []}
{"role": "volunteer", "content": "Yes!", "session_id": 13736, "sequence_id": 96, "annotations": []}
{"role": "volunteer", "content": "In then we can square that because it is the same thing twice!", "session_id": 13736, "sequence_id": 97, "annotations": []}
{"role": "student", "content": "so y-2= 2(x-2)^2", "session_id": 13736, "sequence_id": 98, "annotations": []}
{"role": "volunteer", "content": "Yes!", "session_id": 13736, "sequence_id": 99, "annotations": []}
{"role": "student", "content": "and we would just leave the y-2?", "session_id": 13736, "sequence_id": 100, "annotations": []}
{"role": "volunteer", "content": "Then you add it back", "session_id": 13736, "sequence_id": 101, "annotations": []}
{"role": "volunteer", "content": "Then that is vertex form!", "session_id": 13736, "sequence_id": 102, "annotations": []}
{"role": "student", "content": "ohh ok", "session_id": 13736, "sequence_id": 103, "annotations": []}
{"role": "volunteer", "content": "What do you want to do now?", "session_id": 13736, "sequence_id": 104, "annotations": []}
{"role": "student", "content": "like as for topic wise or what i want to do within this changinf forms topic?", "session_id": 13736, "sequence_id": 105, "annotations": []}
{"role": "volunteer", "content": "what would you like to do next? Do you want to stay on this topic or move on to a new one?", "session_id": 13736, "sequence_id": 106, "annotations": []}
{"role": "student", "content": "i think we can move onto a new one", "session_id": 13736, "sequence_id": 107, "annotations": []}
{"role": "volunteer", "content": "Ok :)", "session_id": 13736, "sequence_id": 108, "annotations": []}
{"role": "volunteer", "content": "What topic do you want to do?", "session_id": 13736, "sequence_id": 109, "annotations": []}
{"role": "student", "content": "could you give me some more quadratic equations to firgure out how to solve using either of the 3 methods? Unfortunately I'm not allowed to use the quadratic formula in class so its just completing the square, square rooting, and normal factoring", "session_id": 13736, "sequence_id": 110, "annotations": []}
{"role": "volunteer", "content": "How about you try to solve this one?", "session_id": 13736, "sequence_id": 111, "annotations": []}
{"role": "student", "content": "im sort of stuck here teacher", "session_id": 13736, "sequence_id": 112, "annotations": []}
{"role": "volunteer", "content": "We are trying to solve for x here", "session_id": 13736, "sequence_id": 113, "annotations": []}
{"role": "volunteer", "content": "So out first step is to make it equal to 0", "session_id": 13736, "sequence_id": 114, "annotations": []}
{"role": "student", "content": "oh yes yes", "session_id": 13736, "sequence_id": 115, "annotations": []}
{"role": "volunteer", "content": "The we can factor it!", "session_id": 13736, "sequence_id": 116, "annotations": []}
{"role": "student", "content": "(x-2)(x+6)", "session_id": 13736, "sequence_id": 117, "annotations": []}
{"role": "volunteer", "content": "Yes", "session_id": 13736, "sequence_id": 118, "annotations": []}
{"role": "volunteer", "content": "What is the final answer?", "session_id": 13736, "sequence_id": 119, "annotations": []}
{"role": "student", "content": "x=+2 x=-6", "session_id": 13736, "sequence_id": 120, "annotations": []}
{"role": "volunteer", "content": "Yes!", "session_id": 13736, "sequence_id": 121, "annotations": []}
{"role": "volunteer", "content": "How about we do one more?", "session_id": 13736, "sequence_id": 122, "annotations": []}
{"role": "student", "content": "yes sure", "session_id": 13736, "sequence_id": 123, "annotations": []}
{"role": "volunteer", "content": "After this one I have to go.", "session_id": 13736, "sequence_id": 124, "annotations": []}
{"role": "student", "content": "x= 4?", "session_id": 13736, "sequence_id": 125, "annotations": []}
{"role": "volunteer", "content": "When you square root, you have to do the positive and negative number!", "session_id": 13736, "sequence_id": 126, "annotations": []}
{"role": "student", "content": "ohh yea", "session_id": 13736, "sequence_id": 127, "annotations": []}
{"role": "student", "content": "Hey you really helped me out today, thank you so much!", "session_id": 13736, "sequence_id": 128, "annotations": []}
{"role": "volunteer", "content": "No Problem", "session_id": 13736, "sequence_id": 129, "annotations": []}
{"role": "student", "content": "I was wondering is there a way that I can like request you as my tutor further on?", "session_id": 13736, "sequence_id": 130, "annotations": []}
{"role": "volunteer", "content": "There might be.", "session_id": 13736, "sequence_id": 131, "annotations": []}
{"role": "volunteer", "content": "I am not sure how you do it, but I think there is a way to", "session_id": 13736, "sequence_id": 132, "annotations": []}
{"role": "volunteer", "content": "I think it is something you can find after we end the session.", "session_id": 13736, "sequence_id": 133, "annotations": []}
{"role": "student", "content": "Oh ok, well thank you so much", "session_id": 13736, "sequence_id": 134, "annotations": []}
{"role": "student", "content": "have a good day!", "session_id": 13736, "sequence_id": 135, "annotations": []}
{"role": "volunteer", "content": "you too!", "session_id": 13736, "sequence_id": 136, "annotations": []}
{"role": "volunteer", "content": "hi", "session_id": 13961, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "hi :)", "session_id": 13961, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "how are you doing?", "session_id": 13961, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "good and you?", "session_id": 13961, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "good thanks. need some math help?", "session_id": 13961, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 13961, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "do you have a question you're working on?", "session_id": 13961, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "I have like 20 questions but we could start with a little first", "session_id": 13961, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "they are segment addition postulate", "session_id": 13961, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "can you post the first one on the board?", "session_id": 13961, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "ok", "session_id": 13961, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "gimme a sec", "session_id": 13961, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 13961, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "ok im ready", "session_id": 13961, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "done", "session_id": 13961, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "ok, so line is HF and is G the point on it?", "session_id": 13961, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "and GF = 1 ?", "session_id": 13961, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "yeah i will put a screenshot", "session_id": 13961, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "ok thanks that will help", "session_id": 13961, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "do you see it", "session_id": 13961, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "yes, thanks", "session_id": 13961, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "so the whole line HF = 10. ok?", "session_id": 13961, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "oki", "session_id": 13961, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "and the little part GF = 1", "session_id": 13961, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "so now you need to find the part HG", "session_id": 13961, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "any guesses?", "session_id": 13961, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "HG=9?", "session_id": 13961, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "yes! exactly!", "session_id": 13961, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "good job", "session_id": 13961, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "wow that was actually easy\\", "session_id": 13961, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "yeah right?!", "session_id": 13961, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "do you want to do another?", "session_id": 13961, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "yea you can clear the board and i will get another screenshot", "session_id": 13961, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 13961, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "done do you see it", "session_id": 13961, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "yes, thanks", "session_id": 13961, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "so this time the whole length is 13", "session_id": 13961, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "and the little part is 1", "session_id": 13961, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "so what will ST = ?", "session_id": 13961, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "12", "session_id": 13961, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "you got it!", "session_id": 13961, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "excellent", "session_id": 13961, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "it has a fancy name but these are pretty simple", "session_id": 13961, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "oh ok", "session_id": 13961, "sequence_id": 43, "annotations": []}
{"role": "student", "content": "so i will get a different one", "session_id": 13961, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 13961, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "ok, so now we have 3 segments", "session_id": 13961, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "and they will all add up to the total of 26 ok?", "session_id": 13961, "sequence_id": 47, "annotations": []}
{"role": "student", "content": "oki", "session_id": 13961, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "so first what is 9 + 11 ?", "session_id": 13961, "sequence_id": 49, "annotations": []}
{"role": "student", "content": "20", "session_id": 13961, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "right! and the total is 26 so the KL will be ?", "session_id": 13961, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "20?", "session_id": 13961, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "not quite, KL is the last little segment", "session_id": 13961, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "it will be 26 - 20", "session_id": 13961, "sequence_id": 54, "annotations": []}
{"role": "student", "content": "oh", "session_id": 13961, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "what is that?", "session_id": 13961, "sequence_id": 56, "annotations": []}
{"role": "student", "content": "6", "session_id": 13961, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "yes! excellent", "session_id": 13961, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "any more?", "session_id": 13961, "sequence_id": 59, "annotations": []}
{"role": "student", "content": "so KL is 6", "session_id": 13961, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 13961, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "ok this one is a bit different", "session_id": 13961, "sequence_id": 62, "annotations": []}
{"role": "student", "content": "is it subtraction now", "session_id": 13961, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "yes!", "session_id": 13961, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "we are trying to find HI", "session_id": 13961, "sequence_id": 65, "annotations": []}
{"role": "student", "content": "oki", "session_id": 13961, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "what do we need to subtract?", "session_id": 13961, "sequence_id": 67, "annotations": []}
{"role": "student", "content": "12?", "session_id": 13961, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "not quite", "session_id": 13961, "sequence_id": 69, "annotations": []}
{"role": "student", "content": "oh", "session_id": 13961, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "look below the line HI", "session_id": 13961, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "what is the distance GI ?", "session_id": 13961, "sequence_id": 72, "annotations": []}
{"role": "student", "content": "we have to subtract 3?", "session_id": 13961, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "no, there is no 3", "session_id": 13961, "sequence_id": 74, "annotations": []}
{"role": "student", "content": "oh 2?", "session_id": 13961, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "yes!", "session_id": 13961, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "we have to subtract 2 from the distance GI ( 7)", "session_id": 13961, "sequence_id": 77, "annotations": []}
{"role": "student", "content": "that would be 10", "session_id": 13961, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "no, subtract 2 from 7", "session_id": 13961, "sequence_id": 79, "annotations": []}
{"role": "student", "content": "oh", "session_id": 13961, "sequence_id": 80, "annotations": []}
{"role": "student", "content": "gimme a sec", "session_id": 13961, "sequence_id": 81, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 13961, "sequence_id": 82, "annotations": []}
{"role": "volunteer", "content": "let me know when you're ready", "session_id": 13961, "sequence_id": 83, "annotations": []}
{"role": "student", "content": "ok hold on", "session_id": 13961, "sequence_id": 84, "annotations": []}
{"role": "student", "content": "ok im ready", "session_id": 13961, "sequence_id": 85, "annotations": []}
{"role": "volunteer", "content": "ok, so what is 7 - 2 ?", "session_id": 13961, "sequence_id": 86, "annotations": []}
{"role": "student", "content": "5", "session_id": 13961, "sequence_id": 87, "annotations": []}
{"role": "volunteer", "content": "yes! so that's you're answer", "session_id": 13961, "sequence_id": 88, "annotations": []}
{"role": "student", "content": "oh ok", "session_id": 13961, "sequence_id": 89, "annotations": []}
{"role": "volunteer", "content": "want to do one more then I gotta go", "session_id": 13961, "sequence_id": 90, "annotations": []}
{"role": "volunteer", "content": "?", "session_id": 13961, "sequence_id": 91, "annotations": []}
{"role": "volunteer", "content": "are you still there?", "session_id": 13961, "sequence_id": 92, "annotations": []}
{"role": "volunteer", "content": "I'm going to drop off now", "session_id": 13961, "sequence_id": 93, "annotations": []}
{"role": "volunteer", "content": "keep up the good work!", "session_id": 13961, "sequence_id": 94, "annotations": []}
{"role": "volunteer", "content": "Hello", "session_id": 13908, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "hello could u help with this", "session_id": 13908, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "Sure", "session_id": 13908, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "Do you know what supplementary angles are?", "session_id": 13908, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "3 and 4?", "session_id": 13908, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 13908, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "3 and 4 are supplementary", "session_id": 13908, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "3 and 2 are also supplementary", "session_id": 13908, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "which means that angle 3 and 4 add up 180 degrees, and same with 3 and 2", "session_id": 13908, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "is that all", "session_id": 13908, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "2 and 1 are also supplementary", "session_id": 13908, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "and 4 and 1 are supplementary", "session_id": 13908, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "so their all equal?", "session_id": 13908, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "3 and 1 are equal", "session_id": 13908, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "and 2 and 4 are equal", "session_id": 13908, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "what do I do after that", "session_id": 13908, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "if angle 3 is 36 degrees and angle 3 and 2 add up 180", "session_id": 13908, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "then what is angle 2 equal to", "session_id": 13908, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "2 equals 144", "session_id": 13908, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 13908, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "do I do that for the others", "session_id": 13908, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 13908, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "just keep repeating", "session_id": 13908, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "thank you", "session_id": 13908, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "this is the work", "session_id": 13963, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "yes", "session_id": 13963, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "Hello!", "session_id": 13963, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "you help my friend", "session_id": 13963, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "he said you are a good teach", "session_id": 13963, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "can u help", "session_id": 13963, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "I'll try my best", "session_id": 13963, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "can you please zoom in the pictures, they are a bit blurry for me to see the questions", "session_id": 13963, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "I worked but it is wrong", "session_id": 13963, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "ok", "session_id": 13963, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "a bit more please", "session_id": 13963, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "is this good", "session_id": 13963, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 13963, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "k", "session_id": 13963, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "please give me a moment to analyze the question", "session_id": 13963, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "k", "session_id": 13963, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "is that what it says", "session_id": 13963, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "ft/square root of 2", "session_id": 13963, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "ft/s^2 right?", "session_id": 13963, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 13963, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "okay got it", "session_id": 13963, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "that is the function for the height of the firework", "session_id": 13963, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "ok", "session_id": 13963, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "now the axis of symmetry equation is y= -b/2a", "session_id": 13963, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "and we can interpret it into the terms of t", "session_id": 13963, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "ok", "session_id": 13963, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "like f(x) = ax^2+ bx + c", "session_id": 13963, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "to find -b/2a", "session_id": 13963, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "those are our a,b and c values", "session_id": 13963, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "oh ok", "session_id": 13963, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "so that means at 4 seconds, the fireworks reaches the highest point", "session_id": 13963, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "so the first answer is 4?", "session_id": 13963, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "so to find the value of the highest point the fireworks reach, we need to use the original equation and plug the value of t=4 in", "session_id": 13963, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "oh", "session_id": 13963, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "axis of symmetry is 4", "session_id": 13963, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "the vertex is what we are finding now", "session_id": 13963, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "k", "session_id": 13963, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "do you want to try solving that equation?", "session_id": 13963, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "it will be at the bottom of the board", "session_id": 13963, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "no pls", "session_id": 13963, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "my brain is cooked from all this work!", "session_id": 13963, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "no problem", "session_id": 13963, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "this is a lot of work, I don't blame you", "session_id": 13963, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "so that will be our vertex", "session_id": 13963, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "(4, 257)", "session_id": 13963, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "does that make a little better to understand?", "session_id": 13963, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "yes", "session_id": 13963, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "that is great", "session_id": 13963, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "do you have any other quesitons?", "session_id": 13963, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "no", "session_id": 13963, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "great", "session_id": 13963, "sequence_id": 50, "annotations": []}
{"role": "student", "content": "but do u know what I put on the last part", "session_id": 13963, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "which one?", "session_id": 13963, "sequence_id": 52, "annotations": []}
{"role": "student", "content": "the max is 4", "session_id": 13963, "sequence_id": 53, "annotations": []}
{"role": "student", "content": "no", "session_id": 13963, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "the height is 257", "session_id": 13963, "sequence_id": 55, "annotations": []}
{"role": "student", "content": "the maximum is 257", "session_id": 13963, "sequence_id": 56, "annotations": []}
{"role": "student", "content": "and that is after 4 sec", "session_id": 13963, "sequence_id": 57, "annotations": []}
{"role": "student", "content": "right?", "session_id": 13963, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "we reach the highest peak at 4 seconds, which is the height 257", "session_id": 13963, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 13963, "sequence_id": 60, "annotations": []}
{"role": "student", "content": "on the first part", "session_id": 13963, "sequence_id": 61, "annotations": []}
{"role": "student", "content": "it says 2 sec is the same height as blank sec", "session_id": 13963, "sequence_id": 62, "annotations": []}
{"role": "student", "content": "as it is after*", "session_id": 13963, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "it will 6 seconds", "session_id": 13963, "sequence_id": 64, "annotations": []}
{"role": "student", "content": "oh", "session_id": 13963, "sequence_id": 65, "annotations": []}
{"role": "student", "content": "ok thank you", "session_id": 13963, "sequence_id": 66, "annotations": []}
{"role": "student", "content": "you the best", "session_id": 13963, "sequence_id": 67, "annotations": []}
{"role": "student", "content": "I wish u get payment", "session_id": 13963, "sequence_id": 68, "annotations": []}
{"role": "student", "content": "because u good at it", "session_id": 13963, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "because the 4s will be the highest peak and 2s before peak is : 4-2 s and 2s after peak is 4+2 = 6s", "session_id": 13963, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "Thank you for your compliment", "session_id": 13963, "sequence_id": 71, "annotations": []}
{"role": "student", "content": "bye", "session_id": 13963, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "thank you for being a grateful student", "session_id": 13963, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "bye", "session_id": 13963, "sequence_id": 74, "annotations": []}
{"role": "volunteer", "content": "hope you have a great day", "session_id": 13963, "sequence_id": 75, "annotations": []}
{"role": "student", "content": "gtg and do work", "session_id": 13963, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "alright", "session_id": 13963, "sequence_id": 77, "annotations": []}
{"role": "student", "content": "thank u again", "session_id": 13963, "sequence_id": 78, "annotations": []}
{"role": "student", "content": "bye", "session_id": 13963, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "bye bye", "session_id": 13963, "sequence_id": 80, "annotations": []}
{"role": "volunteer", "content": "Hello! How can I help?", "session_id": 14045, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "Hi I was wondeirng if we could use ourmics for solving my study guide?", "session_id": 14045, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "sure", "session_id": 14045, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "Hi, can you hear me?", "session_id": 14045, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "Yes, ma'am. Flu", "session_id": 14045, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "Hi", "session_id": 14045, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "So", "session_id": 14045, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "Oh.", "session_id": 14045, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "um, I'm not really understanding my, I'm in preche right now, but I didn't really understand this unit, um, I was hoping that we could go over my study guide together and like try to like maybe see if we can explain like how to do, like how to answer like the questions basically, if that's OK.", "session_id": 14045, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "Of course", "session_id": 14045, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "OK, this shouldn't be that hard. Don't worry about it.", "session_id": 14045, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "Thank you", "session_id": 14045, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "Of course. OK, so the first thing that you need to learn, at least when it comes to graphs is", "session_id": 14045, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "what is given", "session_id": 14045, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "What were the main characteristics of it. So, a graph, if it looks like it's just a line.", "session_id": 14045, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "the equation corresponding to that graph has to have the power of one.", "session_id": 14045, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "in the X", "session_id": 14045, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "OK", "session_id": 14045, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "OK? We're only doing 2 Ds, so on the X, the power should be just one.", "session_id": 14045, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "Out of A, B, C, and D, how many graphs look like a line?", "session_id": 14045, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "Um, like a straight line or like.", "session_id": 14045, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "Yeah.", "session_id": 14045, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "For the diagonal straight, just a line.", "session_id": 14045, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "uh, A, B, and C", "session_id": 14045, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "A, B, and C", "session_id": 14045, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "If if you zoom in, there's there's like a little bit of a curve at the start for B, right?", "session_id": 14045, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "Oh yeah, so just A and C.", "session_id": 14045, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "Just ANC, yeah", "session_id": 14045, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "So", "session_id": 14045, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "ANC looked like lunch", "session_id": 14045, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "Mhm.", "session_id": 14045, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "Out of your options", "session_id": 14045, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "does X have?", "session_id": 14045, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "OK, you don't know, you, you know what an exponent is, right?", "session_id": 14045, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 14045, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "Yeah, so all of, all out of all of them.", "session_id": 14045, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "there are only two options that have", "session_id": 14045, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "X's where the highest power is one.", "session_id": 14045, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "Could you tell me which one of those it is? A, B, C, and D", "session_id": 14045, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "The ones that have exponents.", "session_id": 14045, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "Yeah, the exponent for the X has to be one. Which one of those have one?", "session_id": 14045, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "uh", "session_id": 14045, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "A", "session_id": 14045, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "The, OK, you said this one, right? Hold on one second.", "session_id": 14045, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "So A is why equals x\u00b2 + 5.", "session_id": 14045, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "Mhm", "session_id": 14045, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "What is the power on the X?", "session_id": 14045, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "2", "session_id": 14045, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "That's not one, is it", "session_id": 14045, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "No", "session_id": 14045, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "Yeah, it's OK. Don't worry about it. So, that we just keep looking for the other ones. Um, let's check, check the. So a square root is essentially just saying the power.", "session_id": 14045, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "is 1/2.", "session_id": 14045, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "So I can write this as X minus 5 to the power of 1/2.", "session_id": 14045, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "So even though I can't really simplify this.", "session_id": 14045, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "At X, the power of the X has to be one half.", "session_id": 14045, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "OK?", "session_id": 14045, "sequence_id": 55, "annotations": []}
{"role": "student", "content": "OK", "session_id": 14045, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "Yeah, the power of the X has to be one F.", "session_id": 14045, "sequence_id": 57, "annotations": []}
{"role": "student", "content": "Mm", "session_id": 14045, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "This is not one either. I need it to be exactly one.", "session_id": 14045, "sequence_id": 59, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 14045, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "Um, let's do m-8X + 5.", "session_id": 14045, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "What is a power over here", "session_id": 14045, "sequence_id": 62, "annotations": []}
{"role": "student", "content": "1", "session_id": 14045, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "It's one. If you can't see it, it's one because we don't have to write the power one every time. It's like saying one of the power of one, instead of just saying one, you know it's stupid.", "session_id": 14045, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "So", "session_id": 14045, "sequence_id": 65, "annotations": []}
{"role": "student", "content": "OK", "session_id": 14045, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "this one has a power of one.", "session_id": 14045, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "Does D have a power one", "session_id": 14045, "sequence_id": 68, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 14045, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "Yeah, perfect. So we have, we found the two lines basically.", "session_id": 14045, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "Line, linear, power of one. Just remember that, straight off your head, OK?", "session_id": 14045, "sequence_id": 71, "annotations": []}
{"role": "student", "content": "OK", "session_id": 14045, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "OK. One more thing that you need to know.", "session_id": 14045, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "There is this thing called domain and range.", "session_id": 14045, "sequence_id": 74, "annotations": []}
{"role": "student", "content": "OK", "session_id": 14045, "sequence_id": 75, "annotations": []}
{"role": "student", "content": "Mhm", "session_id": 14045, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "It would look like, hold on, and to say this is 0.", "session_id": 14045, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "Let me go on real quick", "session_id": 14045, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "This would look like this.", "session_id": 14045, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "and this", "session_id": 14045, "sequence_id": 80, "annotations": []}
{"role": "volunteer", "content": "stretching from negative infinity all the way to positive infinity.", "session_id": 14045, "sequence_id": 81, "annotations": []}
{"role": "volunteer", "content": "It would look exactly like this", "session_id": 14045, "sequence_id": 82, "annotations": []}
{"role": "volunteer", "content": "However", "session_id": 14045, "sequence_id": 83, "annotations": []}
{"role": "student", "content": "OK", "session_id": 14045, "sequence_id": 84, "annotations": []}
{"role": "volunteer", "content": "if I draw, if I ask you to draw y equals X.", "session_id": 14045, "sequence_id": 85, "annotations": []}
{"role": "volunteer", "content": "Do you know how that would look like", "session_id": 14045, "sequence_id": 86, "annotations": []}
{"role": "student", "content": "Um", "session_id": 14045, "sequence_id": 87, "annotations": []}
{"role": "student", "content": "cause you said if Y equals X it would go up, right?", "session_id": 14045, "sequence_id": 88, "annotations": []}
{"role": "volunteer", "content": "Uh, it would look like what I draw, yeah, it was what I drew, sorry.", "session_id": 14045, "sequence_id": 89, "annotations": []}
{"role": "student", "content": "Mm", "session_id": 14045, "sequence_id": 90, "annotations": []}
{"role": "student", "content": "I don't know what why it calls negative X would look like.", "session_id": 14045, "sequence_id": 91, "annotations": []}
{"role": "volunteer", "content": "It's OK", "session_id": 14045, "sequence_id": 92, "annotations": []}
{"role": "volunteer", "content": "All negative X means it's going to be flipped over the x-axis, OK?", "session_id": 14045, "sequence_id": 93, "annotations": []}
{"role": "student", "content": "OK", "session_id": 14045, "sequence_id": 94, "annotations": []}
{"role": "volunteer", "content": "And X, this is Y.", "session_id": 14045, "sequence_id": 95, "annotations": []}
{"role": "volunteer", "content": "If the X is being negative, I'm going to be flipping on the", "session_id": 14045, "sequence_id": 96, "annotations": []}
{"role": "volunteer", "content": "X-axis. So, yeah.", "session_id": 14045, "sequence_id": 97, "annotations": []}
{"role": "volunteer", "content": "I would actually just imagine this is a mirror, OK?", "session_id": 14045, "sequence_id": 98, "annotations": []}
{"role": "student", "content": "Mhm", "session_id": 14045, "sequence_id": 99, "annotations": []}
{"role": "volunteer", "content": "You're flipping this down", "session_id": 14045, "sequence_id": 100, "annotations": []}
{"role": "volunteer", "content": "So this would actually look like this.", "session_id": 14045, "sequence_id": 101, "annotations": []}
{"role": "student", "content": "it would go from the X to the Y, right?", "session_id": 14045, "sequence_id": 102, "annotations": []}
{"role": "student", "content": "Like", "session_id": 14045, "sequence_id": 103, "annotations": []}
{"role": "volunteer", "content": "what do you mean the axilma", "session_id": 14045, "sequence_id": 104, "annotations": []}
{"role": "student", "content": "like instead of, you know, how it, like, the, the, sorry, just to remind myself, the why", "session_id": 14045, "sequence_id": 105, "annotations": []}
{"role": "student", "content": "is the", "session_id": 14045, "sequence_id": 106, "annotations": []}
{"role": "student", "content": "is it domain or is it range?", "session_id": 14045, "sequence_id": 107, "annotations": []}
{"role": "volunteer", "content": "range", "session_id": 14045, "sequence_id": 108, "annotations": []}
{"role": "student", "content": "OK, so why it's range and X's domain. Like you, like for the", "session_id": 14045, "sequence_id": 109, "annotations": []}
{"role": "student", "content": "why it's going from the", "session_id": 14045, "sequence_id": 110, "annotations": []}
{"role": "student", "content": "range", "session_id": 14045, "sequence_id": 111, "annotations": []}
{"role": "volunteer", "content": "R", "session_id": 14045, "sequence_id": 112, "annotations": []}
{"role": "student", "content": "like the line of the range, like", "session_id": 14045, "sequence_id": 113, "annotations": []}
{"role": "student", "content": "I don't know how to explain it, never mind.", "session_id": 14045, "sequence_id": 114, "annotations": []}
{"role": "volunteer", "content": "It's OK. The range should be negative infinity to infinity.", "session_id": 14045, "sequence_id": 115, "annotations": []}
{"role": "volunteer", "content": "And the said even the domain should be negative inf infinity. Essentially, what domain and ranges is, can I plug something to break math. That's all it is.", "session_id": 14045, "sequence_id": 116, "annotations": []}
{"role": "volunteer", "content": "So if I have square root of -1.", "session_id": 14045, "sequence_id": 117, "annotations": []}
{"role": "volunteer", "content": "Can you, OK, hold on", "session_id": 14045, "sequence_id": 118, "annotations": []}
{"role": "volunteer", "content": "Um", "session_id": 14045, "sequence_id": 119, "annotations": []}
{"role": "volunteer", "content": "what OK", "session_id": 14045, "sequence_id": 120, "annotations": []}
{"role": "volunteer", "content": "I need you to tell me what is the value of X?", "session_id": 14045, "sequence_id": 121, "annotations": []}
{"role": "volunteer", "content": "Can you solve for x real quick", "session_id": 14045, "sequence_id": 122, "annotations": []}
{"role": "volunteer", "content": "You can solve it on the board if you want", "session_id": 14045, "sequence_id": 123, "annotations": []}
{"role": "student", "content": "Isn't it just one", "session_id": 14045, "sequence_id": 124, "annotations": []}
{"role": "volunteer", "content": "OK? You, you got one by just what squaring one.", "session_id": 14045, "sequence_id": 125, "annotations": []}
{"role": "student", "content": "huh?", "session_id": 14045, "sequence_id": 126, "annotations": []}
{"role": "volunteer", "content": "You, you, you, you got one by squaring both sides.", "session_id": 14045, "sequence_id": 127, "annotations": []}
{"role": "student", "content": "Well, isn't X like just automatically 1?", "session_id": 14045, "sequence_id": 128, "annotations": []}
{"role": "volunteer", "content": "I'm, I'm, I don't, do you, do you, did you look at my equation around on top with -1 equals square x.", "session_id": 14045, "sequence_id": 129, "annotations": []}
{"role": "student", "content": "Uh-huh.", "session_id": 14045, "sequence_id": 130, "annotations": []}
{"role": "volunteer", "content": "I'm asking you to solve for x.", "session_id": 14045, "sequence_id": 131, "annotations": []}
{"role": "student", "content": "I don't know how to do that.", "session_id": 14045, "sequence_id": 132, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 14045, "sequence_id": 133, "annotations": []}
{"role": "volunteer", "content": "Uh, did you want to go through solving an equation?", "session_id": 14045, "sequence_id": 134, "annotations": []}
{"role": "volunteer", "content": "without that?", "session_id": 14045, "sequence_id": 135, "annotations": []}
{"role": "student", "content": "Uh yeah", "session_id": 14045, "sequence_id": 136, "annotations": []}
{"role": "volunteer", "content": "OK.", "session_id": 14045, "sequence_id": 137, "annotations": []}
{"role": "volunteer", "content": "So, OK. If you have X + 1 equals 5.", "session_id": 14045, "sequence_id": 138, "annotations": []}
{"role": "volunteer", "content": "How would you go through solving for X", "session_id": 14045, "sequence_id": 139, "annotations": []}
{"role": "volunteer", "content": "I wrote it on the bottom if you can't see that.", "session_id": 14045, "sequence_id": 140, "annotations": []}
{"role": "student", "content": "Oh,", "session_id": 14045, "sequence_id": 141, "annotations": []}
{"role": "student", "content": "well, you wanna get it eggs by itself.", "session_id": 14045, "sequence_id": 142, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 14045, "sequence_id": 143, "annotations": []}
{"role": "student", "content": "So you would just do, since it's adding, you would just do minus.", "session_id": 14045, "sequence_id": 144, "annotations": []}
{"role": "student", "content": "1 and then minus 1 and then X", "session_id": 14045, "sequence_id": 145, "annotations": []}
{"role": "student", "content": "equals", "session_id": 14045, "sequence_id": 146, "annotations": []}
{"role": "student", "content": "5 minus 1, which is just 4.", "session_id": 14045, "sequence_id": 147, "annotations": []}
{"role": "volunteer", "content": "All right, good. How would you do X\u00b2 equals 4.", "session_id": 14045, "sequence_id": 148, "annotations": []}
{"role": "student", "content": "Um", "session_id": 14045, "sequence_id": 149, "annotations": []}
{"role": "student", "content": "well, you wanna get rid of this weird and since this one's multiplying, you would divide", "session_id": 14045, "sequence_id": 150, "annotations": []}
{"role": "student", "content": "by 4", "session_id": 14045, "sequence_id": 151, "annotations": []}
{"role": "student", "content": "I think", "session_id": 14045, "sequence_id": 152, "annotations": []}
{"role": "volunteer", "content": "No.", "session_id": 14045, "sequence_id": 153, "annotations": []}
{"role": "student", "content": "No, wait, you would divide by X", "session_id": 14045, "sequence_id": 154, "annotations": []}
{"role": "student", "content": "right", "session_id": 14045, "sequence_id": 155, "annotations": []}
{"role": "student", "content": "No", "session_id": 14045, "sequence_id": 156, "annotations": []}
{"role": "volunteer", "content": "no", "session_id": 14045, "sequence_id": 157, "annotations": []}
{"role": "student", "content": "shoot, uh.", "session_id": 14045, "sequence_id": 158, "annotations": []}
{"role": "volunteer", "content": "Yeah, that's, we talked about square roots just now.", "session_id": 14045, "sequence_id": 159, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 14045, "sequence_id": 160, "annotations": []}
{"role": "volunteer", "content": "just think about it. Uh, what can I multiply by itself to give me 4?", "session_id": 14045, "sequence_id": 161, "annotations": []}
{"role": "student", "content": "one", "session_id": 14045, "sequence_id": 162, "annotations": []}
{"role": "volunteer", "content": "1 times 1 is 4", "session_id": 14045, "sequence_id": 163, "annotations": []}
{"role": "student", "content": "Oh wait, no, 4 times 1", "session_id": 14045, "sequence_id": 164, "annotations": []}
{"role": "volunteer", "content": "No, I said one something by itself.", "session_id": 14045, "sequence_id": 165, "annotations": []}
{"role": "student", "content": "02 x 2", "session_id": 14045, "sequence_id": 166, "annotations": []}
{"role": "volunteer", "content": "OK, yeah. So if I do this, there's this thing called a square root.", "session_id": 14045, "sequence_id": 167, "annotations": []}
{"role": "student", "content": "Mhm", "session_id": 14045, "sequence_id": 168, "annotations": []}
{"role": "volunteer", "content": "That should give me plus or minus 2. Just, just understand this. Negative times negative should give me a positive", "session_id": 14045, "sequence_id": 169, "annotations": []}
{"role": "volunteer", "content": "So when they ask me for this, there's two solutions. It's 2 and 2.", "session_id": 14045, "sequence_id": 170, "annotations": []}
{"role": "volunteer", "content": "OK.", "session_id": 14045, "sequence_id": 171, "annotations": []}
{"role": "student", "content": "OK", "session_id": 14045, "sequence_id": 172, "annotations": []}
{"role": "volunteer", "content": "There is this thing called a square root.", "session_id": 14045, "sequence_id": 173, "annotations": []}
{"role": "volunteer", "content": "The that which", "session_id": 14045, "sequence_id": 174, "annotations": []}
{"role": "student", "content": "Wait, sorry, I'm, the, there's some reason green is. I'll be right back, sorry.", "session_id": 14045, "sequence_id": 175, "annotations": []}
{"role": "volunteer", "content": "OK.", "session_id": 14045, "sequence_id": 176, "annotations": []}
{"role": "student", "content": "Sorry, you were saying", "session_id": 14045, "sequence_id": 177, "annotations": []}
{"role": "volunteer", "content": "Mhm", "session_id": 14045, "sequence_id": 178, "annotations": []}
{"role": "volunteer", "content": "I just wanted to, I just wanted you to know that there's, that there's thing, there's this thing called a square root, OK?", "session_id": 14045, "sequence_id": 179, "annotations": []}
{"role": "student", "content": "Mhm", "session_id": 14045, "sequence_id": 180, "annotations": []}
{"role": "volunteer", "content": "A square root and quite literally undoes a squared.", "session_id": 14045, "sequence_id": 181, "annotations": []}
{"role": "volunteer", "content": "So if I ask you to solve for X, you need to be thinking of square root.", "session_id": 14045, "sequence_id": 182, "annotations": []}
{"role": "volunteer", "content": "OK.", "session_id": 14045, "sequence_id": 183, "annotations": []}
{"role": "student", "content": "OK", "session_id": 14045, "sequence_id": 184, "annotations": []}
{"role": "volunteer", "content": "Still, I'm still surprised you haven't heard, you have heard of this, right?", "session_id": 14045, "sequence_id": 185, "annotations": []}
{"role": "student", "content": "I have, it's just, um, really bad at math, so I just forget everything that I learned.", "session_id": 14045, "sequence_id": 186, "annotations": []}
{"role": "volunteer", "content": "It's OK.", "session_id": 14045, "sequence_id": 187, "annotations": []}
{"role": "volunteer", "content": "OK. So let's just say", "session_id": 14045, "sequence_id": 188, "annotations": []}
{"role": "volunteer", "content": "OK. If you have X\u00b2 +", "session_id": 14045, "sequence_id": 189, "annotations": []}
{"role": "volunteer", "content": "1 equals 9.", "session_id": 14045, "sequence_id": 190, "annotations": []}
{"role": "volunteer", "content": "Hm.", "session_id": 14045, "sequence_id": 191, "annotations": []}
{"role": "volunteer", "content": "OK.", "session_id": 14045, "sequence_id": 192, "annotations": []}
{"role": "volunteer", "content": "Come on.", "session_id": 14045, "sequence_id": 193, "annotations": []}
{"role": "volunteer", "content": "OK. Do you know what a functions", "session_id": 14045, "sequence_id": 194, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 14045, "sequence_id": 195, "annotations": []}
{"role": "volunteer", "content": "Well, what's a function", "session_id": 14045, "sequence_id": 196, "annotations": []}
{"role": "student", "content": "Um", "session_id": 14045, "sequence_id": 197, "annotations": []}
{"role": "student", "content": "isn't it when you like", "session_id": 14045, "sequence_id": 198, "annotations": []}
{"role": "student", "content": "have like the graphs and stuff.", "session_id": 14045, "sequence_id": 199, "annotations": []}
{"role": "volunteer", "content": "Sure, but OK, function is pretty much something where you can plug in a number", "session_id": 14045, "sequence_id": 200, "annotations": []}
{"role": "volunteer", "content": "and you can get a result", "session_id": 14045, "sequence_id": 201, "annotations": []}
{"role": "volunteer", "content": "OK?", "session_id": 14045, "sequence_id": 202, "annotations": []}
{"role": "student", "content": "Mhm", "session_id": 14045, "sequence_id": 203, "annotations": []}
{"role": "volunteer", "content": "So in this case, for all your", "session_id": 14045, "sequence_id": 204, "annotations": []}
{"role": "volunteer", "content": "questions, I can write a function instead of Y.", "session_id": 14045, "sequence_id": 205, "annotations": []}
{"role": "volunteer", "content": "I can write F of X equals X\u00b2 + 5.", "session_id": 14045, "sequence_id": 206, "annotations": []}
{"role": "volunteer", "content": "To get back to your point", "session_id": 14045, "sequence_id": 207, "annotations": []}
{"role": "volunteer", "content": "we're working with a graph, and X can be anything.", "session_id": 14045, "sequence_id": 208, "annotations": []}
{"role": "volunteer", "content": "It can be 7, pi, E, anything and what you can be whatever you want.", "session_id": 14045, "sequence_id": 209, "annotations": []}
{"role": "volunteer", "content": "The concept is you can plug in whatever you want, and it will give you a result. You're graphing the result on the vertical axis. OK?", "session_id": 14045, "sequence_id": 210, "annotations": []}
{"role": "volunteer", "content": "When you grab that result on a vertical axis.", "session_id": 14045, "sequence_id": 211, "annotations": []}
{"role": "volunteer", "content": "and when you graph the horizontal or whatever you're plugging in on the horizontal one. You will get a shape.", "session_id": 14045, "sequence_id": 212, "annotations": []}
{"role": "volunteer", "content": "That shape is maybe a parabola or a line.", "session_id": 14045, "sequence_id": 213, "annotations": []}
{"role": "volunteer", "content": "Thing is", "session_id": 14045, "sequence_id": 214, "annotations": []}
{"role": "volunteer", "content": "if the X has a power of 1, ever if the highest power of a function is one. So if you have a lot of X's, you just look at them, the highest power is one.", "session_id": 14045, "sequence_id": 215, "annotations": []}
{"role": "volunteer", "content": "then it has to look like a line.", "session_id": 14045, "sequence_id": 216, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 14045, "sequence_id": 217, "annotations": []}
{"role": "student", "content": "Mhm", "session_id": 14045, "sequence_id": 218, "annotations": []}
{"role": "volunteer", "content": "Has to look like a lot", "session_id": 14045, "sequence_id": 219, "annotations": []}
{"role": "volunteer", "content": "So, out of your two options in your case, there's CND", "session_id": 14045, "sequence_id": 220, "annotations": []}
{"role": "volunteer", "content": "One of the both of them have to be corresponding to the image A or C.", "session_id": 14045, "sequence_id": 221, "annotations": []}
{"role": "volunteer", "content": "OK?", "session_id": 14045, "sequence_id": 222, "annotations": []}
{"role": "student", "content": "OK", "session_id": 14045, "sequence_id": 223, "annotations": []}
{"role": "volunteer", "content": "There's also this thing called reflections, a negative sign reflects something.", "session_id": 14045, "sequence_id": 224, "annotations": []}
{"role": "volunteer", "content": "OK.", "session_id": 14045, "sequence_id": 225, "annotations": []}
{"role": "student", "content": "OK", "session_id": 14045, "sequence_id": 226, "annotations": []}
{"role": "volunteer", "content": "So in this case, if I said Y equals x.", "session_id": 14045, "sequence_id": 227, "annotations": []}
{"role": "volunteer", "content": "Uh, let me just graph it real quick", "session_id": 14045, "sequence_id": 228, "annotations": []}
{"role": "volunteer", "content": "Hm.", "session_id": 14045, "sequence_id": 229, "annotations": []}
{"role": "volunteer", "content": "Sure", "session_id": 14045, "sequence_id": 230, "annotations": []}
{"role": "volunteer", "content": "I said why equals x.", "session_id": 14045, "sequence_id": 231, "annotations": []}
{"role": "volunteer", "content": "So give me a list of points.", "session_id": 14045, "sequence_id": 232, "annotations": []}
{"role": "volunteer", "content": "OK, just, just tell me a random point for x and I'll, I'll write that down.", "session_id": 14045, "sequence_id": 233, "annotations": []}
{"role": "student", "content": "Um", "session_id": 14045, "sequence_id": 234, "annotations": []}
{"role": "student", "content": "5", "session_id": 14045, "sequence_id": 235, "annotations": []}
{"role": "volunteer", "content": "OK, let's start with 5", "session_id": 14045, "sequence_id": 236, "annotations": []}
{"role": "volunteer", "content": "Just keep giving me points", "session_id": 14045, "sequence_id": 237, "annotations": []}
{"role": "student", "content": "5:13.", "session_id": 14045, "sequence_id": 238, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 14045, "sequence_id": 239, "annotations": []}
{"role": "student", "content": "um", "session_id": 14045, "sequence_id": 240, "annotations": []}
{"role": "student", "content": "16", "session_id": 14045, "sequence_id": 241, "annotations": []}
{"role": "volunteer", "content": "All right.", "session_id": 14045, "sequence_id": 242, "annotations": []}
{"role": "student", "content": "28", "session_id": 14045, "sequence_id": 243, "annotations": []}
{"role": "volunteer", "content": "Yeah, sure.", "session_id": 14045, "sequence_id": 244, "annotations": []}
{"role": "volunteer", "content": "OK. So what, OK, what this means is, why?", "session_id": 14045, "sequence_id": 245, "annotations": []}
{"role": "volunteer", "content": "equals X", "session_id": 14045, "sequence_id": 246, "annotations": []}
{"role": "volunteer", "content": "So when X is 5, what, what, what, what would be the value of Y?", "session_id": 14045, "sequence_id": 247, "annotations": []}
{"role": "student", "content": "also 5", "session_id": 14045, "sequence_id": 248, "annotations": []}
{"role": "volunteer", "content": "Good.", "session_id": 14045, "sequence_id": 249, "annotations": []}
{"role": "volunteer", "content": "If XS 13, what would mine be?", "session_id": 14045, "sequence_id": 250, "annotations": []}
{"role": "student", "content": "13", "session_id": 14045, "sequence_id": 251, "annotations": []}
{"role": "volunteer", "content": "25, so on", "session_id": 14045, "sequence_id": 252, "annotations": []}
{"role": "volunteer", "content": "So, I'm gonna write down 5, I'll write down 13.", "session_id": 14045, "sequence_id": 253, "annotations": []}
{"role": "volunteer", "content": "1625.", "session_id": 14045, "sequence_id": 254, "annotations": []}
{"role": "volunteer", "content": "If this is 5, this has to be 5. This is 15, this has to be 15.", "session_id": 14045, "sequence_id": 255, "annotations": []}
{"role": "volunteer", "content": "So this essentially", "session_id": 14045, "sequence_id": 256, "annotations": []}
{"role": "volunteer", "content": "would make a perfect line.", "session_id": 14045, "sequence_id": 257, "annotations": []}
{"role": "volunteer", "content": "Does that", "session_id": 14045, "sequence_id": 258, "annotations": []}
{"role": "volunteer", "content": "answer", "session_id": 14045, "sequence_id": 259, "annotations": []}
{"role": "volunteer", "content": "what a linear equation is. Does that answer what a line would look like and how you would find out what it would look like.", "session_id": 14045, "sequence_id": 260, "annotations": []}
{"role": "student", "content": "Uh yeah", "session_id": 14045, "sequence_id": 261, "annotations": []}
{"role": "volunteer", "content": "OK, good.", "session_id": 14045, "sequence_id": 262, "annotations": []}
{"role": "volunteer", "content": "Now", "session_id": 14045, "sequence_id": 263, "annotations": []}
{"role": "volunteer", "content": "if I just told you", "session_id": 14045, "sequence_id": 264, "annotations": []}
{"role": "volunteer", "content": "I don't wanna, I don't want to graph Y equals X. I want to graphy equals X.", "session_id": 14045, "sequence_id": 265, "annotations": []}
{"role": "student", "content": "Mhm", "session_id": 14045, "sequence_id": 266, "annotations": []}
{"role": "volunteer", "content": "Well, exact same points, right? 5, it would become -5.", "session_id": 14045, "sequence_id": 267, "annotations": []}
{"role": "volunteer", "content": "-13, 16, and so on.", "session_id": 14045, "sequence_id": 268, "annotations": []}
{"role": "volunteer", "content": "At this point wouldn't be here anymore.", "session_id": 14045, "sequence_id": 269, "annotations": []}
{"role": "volunteer", "content": "Let me just raise this, yeah", "session_id": 14045, "sequence_id": 270, "annotations": []}
{"role": "volunteer", "content": "If you have 5", "session_id": 14045, "sequence_id": 271, "annotations": []}
{"role": "volunteer", "content": "you would have -5. So this one would actually be", "session_id": 14045, "sequence_id": 272, "annotations": []}
{"role": "volunteer", "content": "right here", "session_id": 14045, "sequence_id": 273, "annotations": []}
{"role": "volunteer", "content": "right here, right here, right here.", "session_id": 14045, "sequence_id": 274, "annotations": []}
{"role": "volunteer", "content": "This would be the one", "session_id": 14045, "sequence_id": 275, "annotations": []}
{"role": "volunteer", "content": "See how it's flipped", "session_id": 14045, "sequence_id": 276, "annotations": []}
{"role": "student", "content": "Uh-huh", "session_id": 14045, "sequence_id": 277, "annotations": []}
{"role": "volunteer", "content": "Does that make sense", "session_id": 14045, "sequence_id": 278, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 14045, "sequence_id": 279, "annotations": []}
{"role": "volunteer", "content": "What axis is it flipped over?", "session_id": 14045, "sequence_id": 280, "annotations": []}
{"role": "student", "content": "Um, the range", "session_id": 14045, "sequence_id": 281, "annotations": []}
{"role": "volunteer", "content": "Um, I asked the access, can I either be X or Y? Don't tell me range.", "session_id": 14045, "sequence_id": 282, "annotations": []}
{"role": "student", "content": "Why", "session_id": 14045, "sequence_id": 283, "annotations": []}
{"role": "volunteer", "content": "Flipped over the wine", "session_id": 14045, "sequence_id": 284, "annotations": []}
{"role": "volunteer", "content": "No, I, I guess it kind of is, but, uh, in, in this case, it's actually flipped over YNX, so you're not wrong.", "session_id": 14045, "sequence_id": 285, "annotations": []}
{"role": "student", "content": "Why", "session_id": 14045, "sequence_id": 286, "annotations": []}
{"role": "volunteer", "content": "But what I was looking, what's that?", "session_id": 14045, "sequence_id": 287, "annotations": []}
{"role": "student", "content": "you said it's YNX?", "session_id": 14045, "sequence_id": 288, "annotations": []}
{"role": "volunteer", "content": "In this case, it's Y and X It's an odd case, but", "session_id": 14045, "sequence_id": 289, "annotations": []}
{"role": "student", "content": "Y.", "session_id": 14045, "sequence_id": 290, "annotations": []}
{"role": "volunteer", "content": "yeah, you're, you're not, you're not wrong. But what I was looking for is a text.", "session_id": 14045, "sequence_id": 291, "annotations": []}
{"role": "student", "content": "or why is it YNX?", "session_id": 14045, "sequence_id": 292, "annotations": []}
{"role": "volunteer", "content": "OK, you see this line?", "session_id": 14045, "sequence_id": 293, "annotations": []}
{"role": "volunteer", "content": "that I just drew on let me put it different.", "session_id": 14045, "sequence_id": 294, "annotations": []}
{"role": "student", "content": "Uh-huh", "session_id": 14045, "sequence_id": 295, "annotations": []}
{"role": "volunteer", "content": "Do you see what I'm drawing there, right", "session_id": 14045, "sequence_id": 296, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 14045, "sequence_id": 297, "annotations": []}
{"role": "volunteer", "content": "The blue line, you see it", "session_id": 14045, "sequence_id": 298, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 14045, "sequence_id": 299, "annotations": []}
{"role": "volunteer", "content": "Mentally flip it.", "session_id": 14045, "sequence_id": 300, "annotations": []}
{"role": "volunteer", "content": "from the middle, flip it from this point.", "session_id": 14045, "sequence_id": 301, "annotations": []}
{"role": "volunteer", "content": "Take this part", "session_id": 14045, "sequence_id": 302, "annotations": []}
{"role": "volunteer", "content": "and put it this side. Just, just flip it.", "session_id": 14045, "sequence_id": 303, "annotations": []}
{"role": "volunteer", "content": "Does it look like the back line", "session_id": 14045, "sequence_id": 304, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 14045, "sequence_id": 305, "annotations": []}
{"role": "volunteer", "content": "OK, now flip it upside down. What does it look like?", "session_id": 14045, "sequence_id": 306, "annotations": []}
{"role": "student", "content": "Oh, it's still the same", "session_id": 14045, "sequence_id": 307, "annotations": []}
{"role": "volunteer", "content": "Yeah, it looks like the black line. And if you flip it", "session_id": 14045, "sequence_id": 308, "annotations": []}
{"role": "volunteer", "content": "it looks at the black line, if you put it this way, this looks like, looks like the black line.", "session_id": 14045, "sequence_id": 309, "annotations": []}
{"role": "volunteer", "content": "So I'm trying to say is", "session_id": 14045, "sequence_id": 310, "annotations": []}
{"role": "volunteer", "content": "you don't need to remember this, but no, you did this part you do. If there's a negative on the X, it would flip on the X-axis.", "session_id": 14045, "sequence_id": 311, "annotations": []}
{"role": "volunteer", "content": "This thing right here", "session_id": 14045, "sequence_id": 312, "annotations": []}
{"role": "volunteer", "content": "OK?", "session_id": 14045, "sequence_id": 313, "annotations": []}
{"role": "student", "content": "Mhm", "session_id": 14045, "sequence_id": 314, "annotations": []}
{"role": "volunteer", "content": "So, which, let me just zoom in on the graph.", "session_id": 14045, "sequence_id": 315, "annotations": []}
{"role": "student", "content": "Mm", "session_id": 14045, "sequence_id": 316, "annotations": []}
{"role": "volunteer", "content": "Can't really OK", "session_id": 14045, "sequence_id": 317, "annotations": []}
{"role": "volunteer", "content": "right", "session_id": 14045, "sequence_id": 318, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 14045, "sequence_id": 319, "annotations": []}
{"role": "volunteer", "content": "All you need to know", "session_id": 14045, "sequence_id": 320, "annotations": []}
{"role": "volunteer", "content": "is a regular g uh regular graph with Y equals x, and the X is positive. If there's no minus, OK?", "session_id": 14045, "sequence_id": 321, "annotations": []}
{"role": "student", "content": "OK", "session_id": 14045, "sequence_id": 322, "annotations": []}
{"role": "volunteer", "content": "It should look like this.", "session_id": 14045, "sequence_id": 323, "annotations": []}
{"role": "student", "content": "OK", "session_id": 14045, "sequence_id": 324, "annotations": []}
{"role": "volunteer", "content": "So what should a negative look like? It should look like this. I'm gonna make this.", "session_id": 14045, "sequence_id": 325, "annotations": []}
{"role": "volunteer", "content": "Yeah, there we go", "session_id": 14045, "sequence_id": 326, "annotations": []}
{"role": "volunteer", "content": "OK.", "session_id": 14045, "sequence_id": 327, "annotations": []}
{"role": "student", "content": "Mhm", "session_id": 14045, "sequence_id": 328, "annotations": []}
{"role": "volunteer", "content": "Based on that information.", "session_id": 14045, "sequence_id": 329, "annotations": []}
{"role": "volunteer", "content": "what should this one be? What should C be?", "session_id": 14045, "sequence_id": 330, "annotations": []}
{"role": "volunteer", "content": "We know it can either be A or C for this one.", "session_id": 14045, "sequence_id": 331, "annotations": []}
{"role": "volunteer", "content": "Got be this one or this one.", "session_id": 14045, "sequence_id": 332, "annotations": []}
{"role": "student", "content": "It's", "session_id": 14045, "sequence_id": 333, "annotations": []}
{"role": "volunteer", "content": "because they're both lines", "session_id": 14045, "sequence_id": 334, "annotations": []}
{"role": "student", "content": "C", "session_id": 14045, "sequence_id": 335, "annotations": []}
{"role": "volunteer", "content": "Why is it C", "session_id": 14045, "sequence_id": 336, "annotations": []}
{"role": "student", "content": "cause it's going upwards.", "session_id": 14045, "sequence_id": 337, "annotations": []}
{"role": "volunteer", "content": "What's the sound the X?", "session_id": 14045, "sequence_id": 338, "annotations": []}
{"role": "student", "content": "Oh, it's negative. So it's actually going the opposite way.", "session_id": 14045, "sequence_id": 339, "annotations": []}
{"role": "volunteer", "content": "So, which, what is the answer?", "session_id": 14045, "sequence_id": 340, "annotations": []}
{"role": "student", "content": "A", "session_id": 14045, "sequence_id": 341, "annotations": []}
{"role": "volunteer", "content": "OK.", "session_id": 14045, "sequence_id": 342, "annotations": []}
{"role": "volunteer", "content": "So what you need to be thinking of is looking at the sign", "session_id": 14045, "sequence_id": 343, "annotations": []}
{"role": "volunteer", "content": "is a negative? OK, then I know it has to be flipped.", "session_id": 14045, "sequence_id": 344, "annotations": []}
{"role": "volunteer", "content": "There's only one answer where this has flipped.", "session_id": 14045, "sequence_id": 345, "annotations": []}
{"role": "volunteer", "content": "It has to be it.", "session_id": 14045, "sequence_id": 346, "annotations": []}
{"role": "volunteer", "content": "Another thing that you can do", "session_id": 14045, "sequence_id": 347, "annotations": []}
{"role": "volunteer", "content": "there is this thing called Y intercept. Y intercept is if you take X to be 0.", "session_id": 14045, "sequence_id": 348, "annotations": []}
{"role": "volunteer", "content": "whatever answer you get has to be along this line.", "session_id": 14045, "sequence_id": 349, "annotations": []}
{"role": "volunteer", "content": "So if I take Y equals 8 x + 5.", "session_id": 14045, "sequence_id": 350, "annotations": []}
{"role": "volunteer", "content": "OK.", "session_id": 14045, "sequence_id": 351, "annotations": []}
{"role": "volunteer", "content": "If X was 0", "session_id": 14045, "sequence_id": 352, "annotations": []}
{"role": "volunteer", "content": "what would Y be", "session_id": 14045, "sequence_id": 353, "annotations": []}
{"role": "student", "content": "If what sorry", "session_id": 14045, "sequence_id": 354, "annotations": []}
{"role": "volunteer", "content": "If X was 0.", "session_id": 14045, "sequence_id": 355, "annotations": []}
{"role": "volunteer", "content": "what would I be", "session_id": 14045, "sequence_id": 356, "annotations": []}
{"role": "student", "content": "0", "session_id": 14045, "sequence_id": 357, "annotations": []}
{"role": "volunteer", "content": "Why, they use this equation plug it in.", "session_id": 14045, "sequence_id": 358, "annotations": []}
{"role": "volunteer", "content": "You don't need me to write this down. If you, if you take X, just plug in 0.", "session_id": 14045, "sequence_id": 359, "annotations": []}
{"role": "volunteer", "content": "What do you get", "session_id": 14045, "sequence_id": 360, "annotations": []}
{"role": "student", "content": "I don't understand.", "session_id": 14045, "sequence_id": 361, "annotations": []}
{"role": "volunteer", "content": "OK, you see this X", "session_id": 14045, "sequence_id": 362, "annotations": []}
{"role": "student", "content": "Uh-huh", "session_id": 14045, "sequence_id": 363, "annotations": []}
{"role": "volunteer", "content": "That X can be anything", "session_id": 14045, "sequence_id": 364, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 14045, "sequence_id": 365, "annotations": []}
{"role": "volunteer", "content": "If it was 0", "session_id": 14045, "sequence_id": 366, "annotations": []}
{"role": "volunteer", "content": "what would the answer give you if 8 times 0 + 5. What would that equal?", "session_id": 14045, "sequence_id": 367, "annotations": []}
{"role": "student", "content": "It's because I don't have my calculator right now, so I'm gonna, sorry, I have", "session_id": 14045, "sequence_id": 368, "annotations": []}
{"role": "volunteer", "content": "I'll need to calculator", "session_id": 14045, "sequence_id": 369, "annotations": []}
{"role": "volunteer", "content": "It's 8 times 0", "session_id": 14045, "sequence_id": 370, "annotations": []}
{"role": "student", "content": "0", "session_id": 14045, "sequence_id": 371, "annotations": []}
{"role": "volunteer", "content": "What is 0 times -1", "session_id": 14045, "sequence_id": 372, "annotations": []}
{"role": "student", "content": "0", "session_id": 14045, "sequence_id": 373, "annotations": []}
{"role": "volunteer", "content": "So 00 + 5.", "session_id": 14045, "sequence_id": 374, "annotations": []}
{"role": "student", "content": "5", "session_id": 14045, "sequence_id": 375, "annotations": []}
{"role": "volunteer", "content": "Did did you need a calculator? No, you trust yourself. Yeah, you got this.", "session_id": 14045, "sequence_id": 376, "annotations": []}
{"role": "volunteer", "content": "If you don't, if you, if you, if you keep telling yourself that you don't, you need a calculator. I mean, you're never gonna get it. You gotta use it. You, you got, you have talent. You gotta use it.", "session_id": 14045, "sequence_id": 377, "annotations": []}
{"role": "volunteer", "content": "What I mean is if you plug in zero, the entire term cancels. You should be able to do it. Come on.", "session_id": 14045, "sequence_id": 378, "annotations": []}
{"role": "volunteer", "content": "If you have", "session_id": 14045, "sequence_id": 379, "annotations": []}
{"role": "volunteer", "content": "they'll all get what answer do we get? We get 5, right?", "session_id": 14045, "sequence_id": 380, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 14045, "sequence_id": 381, "annotations": []}
{"role": "volunteer", "content": "So we should get the point.", "session_id": 14045, "sequence_id": 382, "annotations": []}
{"role": "volunteer", "content": "0.5, because when X is 0, my Y is 5.", "session_id": 14045, "sequence_id": 383, "annotations": []}
{"role": "volunteer", "content": "OK.", "session_id": 14045, "sequence_id": 384, "annotations": []}
{"role": "student", "content": "OK", "session_id": 14045, "sequence_id": 385, "annotations": []}
{"role": "volunteer", "content": "The, what would this, the, for number C, the graph looks like it's, it's touching the, it's touching this.", "session_id": 14045, "sequence_id": 386, "annotations": []}
{"role": "volunteer", "content": "below the zero, right", "session_id": 14045, "sequence_id": 387, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 14045, "sequence_id": 388, "annotations": []}
{"role": "volunteer", "content": "So my Y value over here when it it is intersecting with", "session_id": 14045, "sequence_id": 389, "annotations": []}
{"role": "volunteer", "content": "this axis has to be negative, correct?", "session_id": 14045, "sequence_id": 390, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 14045, "sequence_id": 391, "annotations": []}
{"role": "volunteer", "content": "So", "session_id": 14045, "sequence_id": 392, "annotations": []}
{"role": "volunteer", "content": "can C be the answer?", "session_id": 14045, "sequence_id": 393, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 14045, "sequence_id": 394, "annotations": []}
{"role": "volunteer", "content": "We just figured out that the wine inter intercept is 0 and 5.", "session_id": 14045, "sequence_id": 395, "annotations": []}
{"role": "volunteer", "content": "The 5 is positive.", "session_id": 14045, "sequence_id": 396, "annotations": []}
{"role": "volunteer", "content": "On C", "session_id": 14045, "sequence_id": 397, "annotations": []}
{"role": "volunteer", "content": "when the graph is intersecting with", "session_id": 14045, "sequence_id": 398, "annotations": []}
{"role": "volunteer", "content": "the Y-axis, which is the vertical line.", "session_id": 14045, "sequence_id": 399, "annotations": []}
{"role": "volunteer", "content": "It's set a negative value.", "session_id": 14045, "sequence_id": 400, "annotations": []}
{"role": "volunteer", "content": "So", "session_id": 14045, "sequence_id": 401, "annotations": []}
{"role": "student", "content": "So then it's not", "session_id": 14045, "sequence_id": 402, "annotations": []}
{"role": "volunteer", "content": "I mean, uh", "session_id": 14045, "sequence_id": 403, "annotations": []}
{"role": "volunteer", "content": "yeah, it isn't, but I, I, I want you to understand why.", "session_id": 14045, "sequence_id": 404, "annotations": []}
{"role": "volunteer", "content": "I don't, I don't want you, uh, I don't want you to just say no because the first answer was incorrect. Do you actually understand why?", "session_id": 14045, "sequence_id": 405, "annotations": []}
{"role": "student", "content": "Well, it's because it's flipped because it's negative.", "session_id": 14045, "sequence_id": 406, "annotations": []}
{"role": "volunteer", "content": "I guess. Yeah, but I I I want to, I want you to use the Y intercept when what that means.", "session_id": 14045, "sequence_id": 407, "annotations": []}
{"role": "volunteer", "content": "Mm", "session_id": 14045, "sequence_id": 408, "annotations": []}
{"role": "volunteer", "content": "Over here, see this?", "session_id": 14045, "sequence_id": 409, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 14045, "sequence_id": 410, "annotations": []}
{"role": "volunteer", "content": "The line, the diagonal line is touching the vertical line.", "session_id": 14045, "sequence_id": 411, "annotations": []}
{"role": "volunteer", "content": "at a point that is greater than 0.", "session_id": 14045, "sequence_id": 412, "annotations": []}
{"role": "volunteer", "content": "in the 5 is a number greater than 0.", "session_id": 14045, "sequence_id": 413, "annotations": []}
{"role": "volunteer", "content": "So it's, this one's gonna correspond to A because there is nothing in your graphs where a diagonal line is touching something more than 0.", "session_id": 14045, "sequence_id": 414, "annotations": []}
{"role": "volunteer", "content": "where in this case it should be 5.", "session_id": 14045, "sequence_id": 415, "annotations": []}
{"role": "volunteer", "content": "What would D be? Well, what's the graph for D?", "session_id": 14045, "sequence_id": 416, "annotations": []}
{"role": "student", "content": "What do you mean", "session_id": 14045, "sequence_id": 417, "annotations": []}
{"role": "volunteer", "content": "But which one of these options is the", "session_id": 14045, "sequence_id": 418, "annotations": []}
{"role": "student", "content": "I'm sorry, I, I just really don't understand.", "session_id": 14045, "sequence_id": 419, "annotations": []}
{"role": "volunteer", "content": "It's OK. Uh, I'm gonna be honest, I", "session_id": 14045, "sequence_id": 420, "annotations": []}
{"role": "volunteer", "content": "I don't really know how to help.", "session_id": 14045, "sequence_id": 421, "annotations": []}
{"role": "student", "content": "It's not your fault. Like, I'm sorry, it's like", "session_id": 14045, "sequence_id": 422, "annotations": []}
{"role": "student", "content": "I genuinely don't understand, so.", "session_id": 14045, "sequence_id": 423, "annotations": []}
{"role": "volunteer", "content": "Are you crying? I, I'm sorry. I, I just don't know how to help.", "session_id": 14045, "sequence_id": 424, "annotations": []}
{"role": "student", "content": "No, it's not your fault. I've been struggling with this classic for a long time.", "session_id": 14045, "sequence_id": 425, "annotations": []}
{"role": "student", "content": "Sorry, I didn't wanna cry. It's just they.", "session_id": 14045, "sequence_id": 426, "annotations": []}
{"role": "volunteer", "content": "I know, but are you taking this class before?", "session_id": 14045, "sequence_id": 427, "annotations": []}
{"role": "volunteer", "content": "No, right.", "session_id": 14045, "sequence_id": 428, "annotations": []}
{"role": "student", "content": "no", "session_id": 14045, "sequence_id": 429, "annotations": []}
{"role": "volunteer", "content": "Are you taking algebra one", "session_id": 14045, "sequence_id": 430, "annotations": []}
{"role": "student", "content": "I took it, um", "session_id": 14045, "sequence_id": 431, "annotations": []}
{"role": "student", "content": "myself. I was a whole year.", "session_id": 14045, "sequence_id": 432, "annotations": []}
{"role": "student", "content": "um", "session_id": 14045, "sequence_id": 433, "annotations": []}
{"role": "student", "content": "behind in mass up until like this year, and I took algebra 2 online, but", "session_id": 14045, "sequence_id": 434, "annotations": []}
{"role": "student", "content": "um", "session_id": 14045, "sequence_id": 435, "annotations": []}
{"role": "student", "content": "I didn't like understand it very well either.", "session_id": 14045, "sequence_id": 436, "annotations": []}
{"role": "student", "content": "and then", "session_id": 14045, "sequence_id": 437, "annotations": []}
{"role": "volunteer", "content": "OK. I'm gonna be honest right there, right?", "session_id": 14045, "sequence_id": 438, "annotations": []}
{"role": "volunteer", "content": "Algebra one", "session_id": 14045, "sequence_id": 439, "annotations": []}
{"role": "volunteer", "content": "algebra 2", "session_id": 14045, "sequence_id": 440, "annotations": []}
{"role": "volunteer", "content": "geometry, are the most fundamental things that if you don't understand them,", "session_id": 14045, "sequence_id": 441, "annotations": []}
{"role": "volunteer", "content": "I would honestly say take it again before you take this. This class is not easy.", "session_id": 14045, "sequence_id": 442, "annotations": []}
{"role": "volunteer", "content": "I took it 2 years ago", "session_id": 14045, "sequence_id": 443, "annotations": []}
{"role": "volunteer", "content": "I'College X right now. I took, I took it two years ago.", "session_id": 14045, "sequence_id": 444, "annotations": [{"pii_type": "SCHOOL", "surrogate": "College X", "start": 2, "end": 11}]}
{"role": "volunteer", "content": "It's I mean, for, for me, I, I'm, I, I like math. It was fine for me, but", "session_id": 14045, "sequence_id": 445, "annotations": []}
{"role": "volunteer", "content": "if you don't understandalgebra 2, it will only get worse.", "session_id": 14045, "sequence_id": 446, "annotations": []}
{"role": "volunteer", "content": "OK.", "session_id": 14045, "sequence_id": 447, "annotations": []}
{"role": "volunteer", "content": "You're gonna be taking derivatives of these functions. You're gonna be looking at the stuff that I don't even want to get into.", "session_id": 14045, "sequence_id": 448, "annotations": []}
{"role": "volunteer", "content": "Trust me", "session_id": 14045, "sequence_id": 449, "annotations": []}
{"role": "volunteer", "content": "Do you need, uh, I would say look integebra one.", "session_id": 14045, "sequence_id": 450, "annotations": []}
{"role": "volunteer", "content": "You start looking at algebra 2", "session_id": 14045, "sequence_id": 451, "annotations": []}
{"role": "volunteer", "content": "and taking it online is not gonna help.", "session_id": 14045, "sequence_id": 452, "annotations": []}
{"role": "volunteer", "content": "Uh I, I'm sorry. I, these are some basic fundamental things that I would love to teach.", "session_id": 14045, "sequence_id": 453, "annotations": []}
{"role": "volunteer", "content": "cause I, I do have a passion for teaching, but if you, if you're crying, it's", "session_id": 14045, "sequence_id": 454, "annotations": []}
{"role": "volunteer", "content": "I, I don't wanna get into it.", "session_id": 14045, "sequence_id": 455, "annotations": []}
{"role": "student", "content": "No, it's OK", "session_id": 14045, "sequence_id": 456, "annotations": []}
{"role": "volunteer", "content": "So I'm sorry. I hope you I hope you get better help than me.", "session_id": 14045, "sequence_id": 457, "annotations": []}
{"role": "student", "content": "No, it's OK. Don't worry. I have a tutoring session either way and like a little bit. I was just hoping to like, see if I can get some other help.", "session_id": 14045, "sequence_id": 458, "annotations": []}
{"role": "volunteer", "content": "OK. Well, the only thing I can say is, when you look at the function, function is anything where you can plug in something and get a result.", "session_id": 14045, "sequence_id": 459, "annotations": []}
{"role": "volunteer", "content": "In this case, you're plugging in a value for X to get a response and why.", "session_id": 14045, "sequence_id": 460, "annotations": []}
{"role": "volunteer", "content": "So in this case", "session_id": 14045, "sequence_id": 461, "annotations": []}
{"role": "volunteer", "content": "if it has the power of 2, it looks like a parabola, OK.", "session_id": 14045, "sequence_id": 462, "annotations": []}
{"role": "volunteer", "content": "You have like, I do not.", "session_id": 14045, "sequence_id": 463, "annotations": []}
{"role": "volunteer", "content": "OK. 2 means you. So in this case, A, because the power is too would be a parabola", "session_id": 14045, "sequence_id": 464, "annotations": []}
{"role": "volunteer", "content": "C and D are both lines, so the power of one", "session_id": 14045, "sequence_id": 465, "annotations": []}
{"role": "volunteer", "content": "has to be one of those lines, square root looks something like this. So the answer should be B.", "session_id": 14045, "sequence_id": 466, "annotations": []}
{"role": "student", "content": "OK", "session_id": 14045, "sequence_id": 467, "annotations": []}
{"role": "volunteer", "content": "These basic things I really hope you look over with your tutor. I don't wanna just give answers out here either I wanna teach, so.", "session_id": 14045, "sequence_id": 468, "annotations": []}
{"role": "student", "content": "Mm", "session_id": 14045, "sequence_id": 469, "annotations": []}
{"role": "volunteer", "content": "hopefully you get better", "session_id": 14045, "sequence_id": 470, "annotations": []}
{"role": "volunteer", "content": "Thank you.", "session_id": 14045, "sequence_id": 471, "annotations": []}
{"role": "student", "content": "Thank you", "session_id": 14045, "sequence_id": 472, "annotations": []}
{"role": "volunteer", "content": "Have a good day", "session_id": 14045, "sequence_id": 473, "annotations": []}
{"role": "student", "content": "You too", "session_id": 14045, "sequence_id": 474, "annotations": []}
{"role": "volunteer", "content": "Hi, what do you need help with today?", "session_id": 14081, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "Hey, I need help with polynomials, specifically factoring, long division, Horner's rule (synthetic division), remainder and factor theorems, zeros, and rational functions", "session_id": 14081, "sequence_id": 1, "annotations": [{"pii_type": "PERSON", "surrogate": "Horner", "start": 74, "end": 80}]}
{"role": "volunteer", "content": "Do you have any specific questions that you want to go over from class practice?", "session_id": 14081, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "not really, i kinda just need a lot of help with all of it i have a makeup test on it tomorrow", "session_id": 14081, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "Ok, I can create some problems to solve. Do you have audio so I can talk through the problems?", "session_id": 14081, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "i do not", "session_id": 14081, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "Ok, I can write out the problems and type the explanation", "session_id": 14081, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "okay, thank you", "session_id": 14081, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "I will solve this using synthetic division", "session_id": 14081, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "First, you find the zero of x-2, which is 2. Then you take the coefficients of all the other terms in the equation and write them in this format. Does this look familiar to you?", "session_id": 14081, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "yes", "session_id": 14081, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "First, we brought the first coefficient down and did not do anything with it. Then, we multiplied it by 2. This is what would be added to the second coefficient.", "session_id": 14081, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "Then, we bring down that value and multiply it by two and add it to the next coefficient. We keep repeating this process until the end. 7, the last number on the rectangle is the remainder.", "session_id": 14081, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "The number before 7 would not have an x, and then the next number before that would have x, and the next number before that has x^2 and so on. The quotient should always be one degree lower than the dividend.", "session_id": 14081, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "okay", "session_id": 14081, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "Do you want to do another synthetic division problem or try to learn another concept?", "session_id": 14081, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "try another problem", "session_id": 14081, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "Do you want to try solving this on your own first?", "session_id": 14081, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "yes", "session_id": 14081, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "You are doing it mostly right. The only mistake is that you have to bring the 4 down by itself. Then you start the series of multiplications", "session_id": 14081, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "okay, can you show me?", "session_id": 14081, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "ohh okay i get it", "session_id": 14081, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "Do you know how to write the quotient and remainder?", "session_id": 14081, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "not exactly, i think so but it's probably not right", "session_id": 14081, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "You can try and then we can check", "session_id": 14081, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "okay", "session_id": 14081, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "do i use variables or no", "session_id": 14081, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "You use x in the quotient.", "session_id": 14081, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "The first term of the quotient should be one degree lower than the divided. If the first term on the dividend is x^4, then the first term of the quotient will be x^3.", "session_id": 14081, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "can you write it for me so i can see", "session_id": 14081, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "Do you have any specific questions about the process of synthetic division?", "session_id": 14081, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "not really", "session_id": 14081, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "Do you want to do another synthetic division problem or learn another concept?", "session_id": 14081, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "learn another concept", "session_id": 14081, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "Which concept are you the most worried about for your test? We can cover that.", "session_id": 14081, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "all of it but probably the theorems or rational functions", "session_id": 14081, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "Ok, do you need to know how to graph rational functions for your test?", "session_id": 14081, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "I can do an example showing graphing.", "session_id": 14081, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "yes please, just in case", "session_id": 14081, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "To find the vertical asymptote, we solve the bottom part of the function, in this case X-2. The vertical asymptote is at x=2.", "session_id": 14081, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "For horizontal asymptotes, there are some special rules. I am going to write them out under the graph.", "session_id": 14081, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "okay'", "session_id": 14081, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "When the largest degree of both the numerator and the denominator is the same, you divide their coefficients to find the horizontal asymptote.", "session_id": 14081, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "If the degree at the bottom of the rational function is greater than the top, the horizontal asymptote is always y=0.", "session_id": 14081, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "In our original equation, both only has x. So we divide the coefficients, 1/1 to get a horizontal asymptote of y=1.", "session_id": 14081, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "The next step, after figuring out the asymptotes is to find the x-intercept. To find this, we find the solution to the top of the equation. In X+3=0, X=-3. This is a point we plot on the graph.", "session_id": 14081, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "Then we draw a graph approaching the asymptotes going through the x-intercept.", "session_id": 14081, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "Then we draw a graph on the side opposite to it.", "session_id": 14081, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "Do you have any questions, I know that was a lot of information", "session_id": 14081, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "not really i think i just need to practice utt", "session_id": 14081, "sequence_id": 49, "annotations": []}
{"role": "student", "content": "it", "session_id": 14081, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "Do you want to go over remainder theorem?", "session_id": 14081, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "umm that's okay i have to go to dance and then i'll come back and start another session to finish the topics, but thank you I really appreciate it", "session_id": 14081, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "Ok, it was great working with you. Good luck on your test.", "session_id": 14081, "sequence_id": 53, "annotations": []}
{"role": "student", "content": "thank you", "session_id": 14081, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "hi StudentA", "session_id": 14365, "sequence_id": 0, "annotations": [{"pii_type": "PERSON", "surrogate": "StudentA", "start": 3, "end": 11}]}
{"role": "student", "content": "hi i need help i have a test tomorrow", "session_id": 14365, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "on Saturday?", "session_id": 14365, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "Precalc now pre calc", "session_id": 14365, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "please help", "session_id": 14365, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "you'studying, studying?", "session_id": 14365, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "Precalculus cource", "session_id": 14365, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 14365, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "the rules say I shouldn'tutor student, math class is OK, help students anyway, if I can", "session_id": 14365, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "thank you so much", "session_id": 14365, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "i need help on difference of quotient and verifying a inverse", "session_id": 14365, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "wow, that's getting very close to calculus", "session_id": 14365, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "it is?", "session_id": 14365, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "yes. difference quotient is almost a derivative, and a derivative is most definitely calculus", "session_id": 14365, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "let's see the problem", "session_id": 14365, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "ok ill bring it up", "session_id": 14365, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "I tutor all math subjects except calculus, and had to look up difference quotient", "session_id": 14365, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "is there a calculus option on here?", "session_id": 14365, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "there are 2, I think", "session_id": 14365, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "but let's see if I can help you", "session_id": 14365, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "ok", "session_id": 14365, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "so its f(x)=-^2+5x", "session_id": 14365, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "-x^2?", "session_id": 14365, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "wait no sorry", "session_id": 14365, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "f(x)=-2x^2+5x", "session_id": 14365, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "this", "session_id": 14365, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "do you know the formula for the difference quotient?", "session_id": 14365, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "no", "session_id": 14365, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "I'll put it on the board", "session_id": 14365, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "ok", "session_id": 14365, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "can you guess what to do next?", "session_id": 14365, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "wait its over that and not h?", "session_id": 14365, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "the x's cancel and you get h", "session_id": 14365, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "ohhhh ok", "session_id": 14365, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "writing it this way shows that you are using x+h and x in both numerator and denominator", "session_id": 14365, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "ohhhh ok", "session_id": 14365, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "so, what next?", "session_id": 14365, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "we should plug in the equation", "session_id": 14365, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "yes, plug in x+h and plug in x on the top", "session_id": 14365, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "go ahead", "session_id": 14365, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "work on the board", "session_id": 14365, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "good start", "session_id": 14365, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "what do i do with the 5x", "session_id": 14365, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "replace x with x+h again", "session_id": 14365, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "let me make it smaller to give you more room", "session_id": 14365, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "ok thanks", "session_id": 14365, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "there", "session_id": 14365, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "now the -fx)", "session_id": 14365, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "-f(x)", "session_id": 14365, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "do i expand the biononiaml", "session_id": 14365, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "put the -f(x), first", "session_id": 14365, "sequence_id": 50, "annotations": []}
{"role": "student", "content": "huh where", "session_id": 14365, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "numerator", "session_id": 14365, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "f(x+h)-f(x), right?", "session_id": 14365, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "now you need another set of parens", "session_id": 14365, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "yeah, like that", "session_id": 14365, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "and divide the whole thing by h", "session_id": 14365, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "now expand the binomial and distribute the other terms", "session_id": 14365, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "wait", "session_id": 14365, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "oh, no, that's good", "session_id": 14365, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "over h", "session_id": 14365, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "keep going. you're doing great!", "session_id": 14365, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "over h", "session_id": 14365, "sequence_id": 62, "annotations": []}
{"role": "student", "content": "if i cancel the h on the -2h^2 will the 2 go away", "session_id": 14365, "sequence_id": 63, "annotations": []}
{"role": "student", "content": "oh wait its still h", "session_id": 14365, "sequence_id": 64, "annotations": []}
{"role": "student", "content": "so this?", "session_id": 14365, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "you can either cancel all the h's inside the parens or the one outside. can't do both", "session_id": 14365, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "the one outside would have been easier", "session_id": 14365, "sequence_id": 67, "annotations": []}
{"role": "student", "content": "wait im confused", "session_id": 14365, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "wait, me too", "session_id": 14365, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "where did that h come from?", "session_id": 14365, "sequence_id": 70, "annotations": []}
{"role": "student", "content": "i thought i had to factor out the h", "session_id": 14365, "sequence_id": 71, "annotations": []}
{"role": "student", "content": "like here", "session_id": 14365, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "I see. canceling h inside the parens was from factoring, then the h outside the parens cancels with denominator", "session_id": 14365, "sequence_id": 73, "annotations": []}
{"role": "student", "content": "so we dont cancel from the denominator", "session_id": 14365, "sequence_id": 74, "annotations": []}
{"role": "volunteer", "content": "you could have just divided every term inside parens by h while canceling the denominator", "session_id": 14365, "sequence_id": 75, "annotations": []}
{"role": "student", "content": "so the h is gone", "session_id": 14365, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "almost", "session_id": 14365, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "just the middle term", "session_id": 14365, "sequence_id": 78, "annotations": []}
{"role": "student", "content": "yea that one is staying", "session_id": 14365, "sequence_id": 79, "annotations": []}
{"role": "student", "content": "but is this right", "session_id": 14365, "sequence_id": 80, "annotations": []}
{"role": "student", "content": "Mr. Miller", "session_id": 14365, "sequence_id": 81, "annotations": [{"pii_type": "PERSON", "surrogate": "Mr. Miller", "start": 0, "end": 10}]}
{"role": "volunteer", "content": "let's talk about derivatives", "session_id": 14365, "sequence_id": 82, "annotations": []}
{"role": "student", "content": "i dont think derivatieves is on my test tomorrow i hope", "session_id": 14365, "sequence_id": 83, "annotations": []}
{"role": "volunteer", "content": "hmm, a - sign seems to be missing", "session_id": 14365, "sequence_id": 84, "annotations": []}
{"role": "student", "content": "but i know inverses will be on it", "session_id": 14365, "sequence_id": 85, "annotations": []}
{"role": "student", "content": "huh what negative sign", "session_id": 14365, "sequence_id": 86, "annotations": []}
{"role": "volunteer", "content": "ah, I see it", "session_id": 14365, "sequence_id": 87, "annotations": []}
{"role": "volunteer", "content": "should have been x^2+2xh+h^2", "session_id": 14365, "sequence_id": 88, "annotations": []}
{"role": "student", "content": "like the answer?", "session_id": 14365, "sequence_id": 89, "annotations": []}
{"role": "volunteer", "content": "which makes it -4xh and then -4x", "session_id": 14365, "sequence_id": 90, "annotations": []}
{"role": "volunteer", "content": "I fixed it on the board", "session_id": 14365, "sequence_id": 91, "annotations": []}
{"role": "student", "content": "ohhhhhhhhh", "session_id": 14365, "sequence_id": 92, "annotations": []}
{"role": "student", "content": "i see it now", "session_id": 14365, "sequence_id": 93, "annotations": []}
{"role": "volunteer", "content": "for derivative, you multiply the exponent 2 times the -2x to get -4x, and the derivative of 5x is 5", "session_id": 14365, "sequence_id": 94, "annotations": []}
{"role": "volunteer", "content": "so the derivative of f(x) is -4x+5", "session_id": 14365, "sequence_id": 95, "annotations": []}
{"role": "volunteer", "content": "looks a lot like your answer", "session_id": 14365, "sequence_id": 96, "annotations": []}
{"role": "volunteer", "content": "all you really do for the derivative is let h go to 0", "session_id": 14365, "sequence_id": 97, "annotations": []}
{"role": "volunteer", "content": "as it becomes a really tiny number, the answer becomes -4x+5", "session_id": 14365, "sequence_id": 98, "annotations": []}
{"role": "student", "content": "can we work on verifying inverses because im not good at that either", "session_id": 14365, "sequence_id": 99, "annotations": []}
{"role": "volunteer", "content": "that's why I told you this is very close to calculus", "session_id": 14365, "sequence_id": 100, "annotations": []}
{"role": "volunteer", "content": "let's do inverse now", "session_id": 14365, "sequence_id": 101, "annotations": []}
{"role": "student", "content": "ok", "session_id": 14365, "sequence_id": 102, "annotations": []}
{"role": "volunteer", "content": "clear the board?", "session_id": 14365, "sequence_id": 103, "annotations": []}
{"role": "student", "content": "sure", "session_id": 14365, "sequence_id": 104, "annotations": []}
{"role": "volunteer", "content": "uploading a problem?", "session_id": 14365, "sequence_id": 105, "annotations": []}
{"role": "student", "content": "yea", "session_id": 14365, "sequence_id": 106, "annotations": []}
{"role": "student", "content": "f(x)=(x+4)/6", "session_id": 14365, "sequence_id": 107, "annotations": []}
{"role": "volunteer", "content": "difference of quotient, or find, then verify inverse?", "session_id": 14365, "sequence_id": 108, "annotations": []}
{"role": "student", "content": "verify inverse", "session_id": 14365, "sequence_id": 109, "annotations": []}
{"role": "volunteer", "content": "what's the inverse?", "session_id": 14365, "sequence_id": 110, "annotations": []}
{"role": "student", "content": "i dont know", "session_id": 14365, "sequence_id": 111, "annotations": []}
{"role": "volunteer", "content": "can't verify the inverse if you don't know it", "session_id": 14365, "sequence_id": 112, "annotations": []}
{"role": "student", "content": "how do i solve for an inverse first", "session_id": 14365, "sequence_id": 113, "annotations": []}
{"role": "volunteer", "content": "I can show you that", "session_id": 14365, "sequence_id": 114, "annotations": []}
{"role": "student", "content": "do i swap the varibles or something", "session_id": 14365, "sequence_id": 115, "annotations": []}
{"role": "volunteer", "content": "are you sure it asks you to verify the inverse, but doesn't give you the inverse?", "session_id": 14365, "sequence_id": 116, "annotations": []}
{"role": "student", "content": "its asking me to find the inverse then verify it", "session_id": 14365, "sequence_id": 117, "annotations": []}
{"role": "volunteer", "content": "like I said above", "session_id": 14365, "sequence_id": 118, "annotations": []}
{"role": "student", "content": "yea", "session_id": 14365, "sequence_id": 119, "annotations": []}
{"role": "volunteer", "content": "swap the x and y, then solve for y", "session_id": 14365, "sequence_id": 120, "annotations": []}
{"role": "student", "content": "ok", "session_id": 14365, "sequence_id": 121, "annotations": []}
{"role": "student", "content": "do i mutiply 6 both ways to cancel 6", "session_id": 14365, "sequence_id": 122, "annotations": []}
{"role": "volunteer", "content": "yep", "session_id": 14365, "sequence_id": 123, "annotations": []}
{"role": "volunteer", "content": "subtract 4 from both sides", "session_id": 14365, "sequence_id": 124, "annotations": []}
{"role": "student", "content": "what did i do wrong", "session_id": 14365, "sequence_id": 125, "annotations": []}
{"role": "student", "content": "ohhhhh", "session_id": 14365, "sequence_id": 126, "annotations": []}
{"role": "volunteer", "content": "trying to get y to be all by itself", "session_id": 14365, "sequence_id": 127, "annotations": []}
{"role": "student", "content": "i was to solve for y", "session_id": 14365, "sequence_id": 128, "annotations": []}
{"role": "student", "content": "ohhhhhhhhh", "session_id": 14365, "sequence_id": 129, "annotations": []}
{"role": "student", "content": "i forgot", "session_id": 14365, "sequence_id": 130, "annotations": []}
{"role": "student", "content": "thank youuuuu", "session_id": 14365, "sequence_id": 131, "annotations": []}
{"role": "student", "content": "yayyyyyyyyyyyyyyyyyyyyyyyyy", "session_id": 14365, "sequence_id": 132, "annotations": []}
{"role": "student", "content": "so how do we verify it", "session_id": 14365, "sequence_id": 133, "annotations": []}
{"role": "volunteer", "content": "you have to calculate both f(f^-1(x)) and f^-1(f(x))", "session_id": 14365, "sequence_id": 134, "annotations": []}
{"role": "volunteer", "content": "make sure that both of them equal x", "session_id": 14365, "sequence_id": 135, "annotations": []}
{"role": "student", "content": "how we do that", "session_id": 14365, "sequence_id": 136, "annotations": []}
{"role": "volunteer", "content": "which do you want to do first?", "session_id": 14365, "sequence_id": 137, "annotations": []}
{"role": "student", "content": "which one is commonly done first", "session_id": 14365, "sequence_id": 138, "annotations": []}
{"role": "volunteer", "content": "doesn't matter", "session_id": 14365, "sequence_id": 139, "annotations": []}
{"role": "student", "content": "which one do you do first", "session_id": 14365, "sequence_id": 140, "annotations": []}
{"role": "volunteer", "content": "f(f^-1(x))", "session_id": 14365, "sequence_id": 141, "annotations": []}
{"role": "student", "content": "then lets do that one", "session_id": 14365, "sequence_id": 142, "annotations": []}
{"role": "volunteer", "content": "replace the x in (x+4)/6 with 6x-4", "session_id": 14365, "sequence_id": 143, "annotations": []}
{"role": "student", "content": "oh to see if they match or something", "session_id": 14365, "sequence_id": 144, "annotations": []}
{"role": "volunteer", "content": "to see if it equals x", "session_id": 14365, "sequence_id": 145, "annotations": []}
{"role": "student", "content": "um i dont know where to start", "session_id": 14365, "sequence_id": 146, "annotations": []}
{"role": "volunteer", "content": "6x-4, right?", "session_id": 14365, "sequence_id": 147, "annotations": []}
{"role": "student", "content": "ohhhhh", "session_id": 14365, "sequence_id": 148, "annotations": []}
{"role": "student", "content": "do i mutiply 6 to cancel the denomitor", "session_id": 14365, "sequence_id": 149, "annotations": []}
{"role": "volunteer", "content": "just remove the parens, first", "session_id": 14365, "sequence_id": 150, "annotations": []}
{"role": "volunteer", "content": "cancel", "session_id": 14365, "sequence_id": 151, "annotations": []}
{"role": "student", "content": "it does equal to x", "session_id": 14365, "sequence_id": 152, "annotations": []}
{"role": "volunteer", "content": "now go the other way", "session_id": 14365, "sequence_id": 153, "annotations": []}
{"role": "student", "content": "so verifying the inverse is always equaling to x", "session_id": 14365, "sequence_id": 154, "annotations": []}
{"role": "volunteer", "content": "plug in (x+4)/6 into the 6x-4 formula for the inverse", "session_id": 14365, "sequence_id": 155, "annotations": []}
{"role": "volunteer", "content": "yes, always must equal x", "session_id": 14365, "sequence_id": 156, "annotations": []}
{"role": "student", "content": "i think i should distrubute or something", "session_id": 14365, "sequence_id": 157, "annotations": []}
{"role": "volunteer", "content": "6 outside the parens is in the numerator, 6 inside is in the denominator, right?", "session_id": 14365, "sequence_id": 158, "annotations": []}
{"role": "student", "content": "um i think so", "session_id": 14365, "sequence_id": 159, "annotations": []}
{"role": "volunteer", "content": "multiplying times 6 is the same as multiplying times 6/1", "session_id": 14365, "sequence_id": 160, "annotations": []}
{"role": "volunteer", "content": "so numerator", "session_id": 14365, "sequence_id": 161, "annotations": []}
{"role": "student", "content": "huh?", "session_id": 14365, "sequence_id": 162, "annotations": []}
{"role": "student", "content": "im confused", "session_id": 14365, "sequence_id": 163, "annotations": []}
{"role": "volunteer", "content": "if you write 6 as a fraction it is 6/1", "session_id": 14365, "sequence_id": 164, "annotations": []}
{"role": "student", "content": "oh so like make it a fraction", "session_id": 14365, "sequence_id": 165, "annotations": []}
{"role": "volunteer", "content": "yeah", "session_id": 14365, "sequence_id": 166, "annotations": []}
{"role": "volunteer", "content": "no", "session_id": 14365, "sequence_id": 167, "annotations": []}
{"role": "student", "content": "oh", "session_id": 14365, "sequence_id": 168, "annotations": []}
{"role": "volunteer", "content": "it's easier than that", "session_id": 14365, "sequence_id": 169, "annotations": []}
{"role": "volunteer", "content": "what can you do with 6 on the top, 6 on the bottom?", "session_id": 14365, "sequence_id": 170, "annotations": []}
{"role": "student", "content": "cancel", "session_id": 14365, "sequence_id": 171, "annotations": []}
{"role": "volunteer", "content": "yeah", "session_id": 14365, "sequence_id": 172, "annotations": []}
{"role": "volunteer", "content": "isn't that simpler?", "session_id": 14365, "sequence_id": 173, "annotations": []}
{"role": "student", "content": "wait thats it", "session_id": 14365, "sequence_id": 174, "annotations": []}
{"role": "student", "content": "so they are inverses and thats way moe simpler", "session_id": 14365, "sequence_id": 175, "annotations": []}
{"role": "volunteer", "content": "verified!", "session_id": 14365, "sequence_id": 176, "annotations": []}
{"role": "student", "content": "perfect", "session_id": 14365, "sequence_id": 177, "annotations": []}
{"role": "volunteer", "content": "indeed", "session_id": 14365, "sequence_id": 178, "annotations": []}
{"role": "volunteer", "content": "you should be ready for tomorrow", "session_id": 14365, "sequence_id": 179, "annotations": []}
{"role": "student", "content": "Course credits", "session_id": 14365, "sequence_id": 180, "annotations": []}
{"role": "volunteer", "content": "you should be able to do difference quotient and inverse problems", "session_id": 14365, "sequence_id": 181, "annotations": []}
{"role": "student", "content": "can we move on to domain and range of piece wise functions and drawing them too", "session_id": 14365, "sequence_id": 182, "annotations": []}
{"role": "volunteer", "content": "hmmmm, OK", "session_id": 14365, "sequence_id": 183, "annotations": []}
{"role": "student", "content": "i dont have any practice problems on it", "session_id": 14365, "sequence_id": 184, "annotations": []}
{"role": "volunteer", "content": "none at all?", "session_id": 14365, "sequence_id": 185, "annotations": []}
{"role": "student", "content": "let me look on google", "session_id": 14365, "sequence_id": 186, "annotations": []}
{"role": "student", "content": "Mr. Miller< or equal 1 & 3/7x+15/7,x>}", "session_id": 14365, "sequence_id": 187, "annotations": [{"pii_type": "PERSON", "surrogate": "Mr. Miller", "start": 0, "end": 10}]}
{"role": "volunteer", "content": "there's a grid", "session_id": 14365, "sequence_id": 188, "annotations": []}
{"role": "student", "content": "ill write it on there sorry", "session_id": 14365, "sequence_id": 189, "annotations": []}
{"role": "volunteer", "content": "we start with the endpoints", "session_id": 14365, "sequence_id": 190, "annotations": []}
{"role": "volunteer", "content": "part of it is missing", "session_id": 14365, "sequence_id": 191, "annotations": []}
{"role": "volunteer", "content": "probably x>1 at the end", "session_id": 14365, "sequence_id": 192, "annotations": []}
{"role": "student", "content": "oh yea i forgot that part", "session_id": 14365, "sequence_id": 193, "annotations": []}
{"role": "volunteer", "content": "first equation, what's the endpoint?", "session_id": 14365, "sequence_id": 194, "annotations": []}
{"role": "student", "content": "wait what endpoint", "session_id": 14365, "sequence_id": 195, "annotations": []}
{"role": "volunteer", "content": "the function is defined to equal -8/7 x - 2, but only for values of x where x<=1", "session_id": 14365, "sequence_id": 196, "annotations": []}
{"role": "volunteer", "content": "so, from x = - infinity all the way up to 1, but not past 1", "session_id": 14365, "sequence_id": 197, "annotations": []}
{"role": "student", "content": "the end is <=1", "session_id": 14365, "sequence_id": 198, "annotations": []}
{"role": "volunteer", "content": "yeah, x=1 is the endpoint", "session_id": 14365, "sequence_id": 199, "annotations": []}
{"role": "student", "content": "not <=", "session_id": 14365, "sequence_id": 200, "annotations": []}
{"role": "volunteer", "content": "what is the value of f(x) when x=1", "session_id": 14365, "sequence_id": 201, "annotations": []}
{"role": "volunteer", "content": "just x=1 for the endpoint", "session_id": 14365, "sequence_id": 202, "annotations": []}
{"role": "volunteer", "content": "endpoint is a single point", "session_id": 14365, "sequence_id": 203, "annotations": []}
{"role": "volunteer", "content": "what is the value of f(x) when x=1?", "session_id": 14365, "sequence_id": 204, "annotations": []}
{"role": "student", "content": "there is no endpoint", "session_id": 14365, "sequence_id": 205, "annotations": []}
{"role": "volunteer", "content": "what do you mean?", "session_id": 14365, "sequence_id": 206, "annotations": []}
{"role": "volunteer", "content": "there is an endpoint at x=1", "session_id": 14365, "sequence_id": 207, "annotations": []}
{"role": "volunteer", "content": "what is the value of f(x) there?", "session_id": 14365, "sequence_id": 208, "annotations": []}
{"role": "student", "content": "like slope", "session_id": 14365, "sequence_id": 209, "annotations": []}
{"role": "volunteer", "content": "value of f(x)", "session_id": 14365, "sequence_id": 210, "annotations": []}
{"role": "volunteer", "content": "plug in 1 for x", "session_id": 14365, "sequence_id": 211, "annotations": []}
{"role": "student", "content": "sure 1 there want any endpoint", "session_id": 14365, "sequence_id": 212, "annotations": []}
{"role": "volunteer", "content": "?", "session_id": 14365, "sequence_id": 213, "annotations": []}
{"role": "volunteer", "content": "there is an endpoint at x=1\nwhat is the value of f(x) there?", "session_id": 14365, "sequence_id": 214, "annotations": []}
{"role": "volunteer", "content": "value of f(x)\nplug in 1 for x", "session_id": 14365, "sequence_id": 215, "annotations": []}
{"role": "volunteer", "content": "f(x)=-8/7 x - 2, for x=1", "session_id": 14365, "sequence_id": 216, "annotations": []}
{"role": "student", "content": "this is all i have please point out the end point bc i dont see any endpoint", "session_id": 14365, "sequence_id": 217, "annotations": []}
{"role": "volunteer", "content": "I'm telling you that because the first part of the function is defined for x<=1, there is an endpoint where x=1", "session_id": 14365, "sequence_id": 218, "annotations": []}
{"role": "volunteer", "content": "but to find the whole point we need to know the y-coordinate, which is the value of f(x) when x=1", "session_id": 14365, "sequence_id": 219, "annotations": []}
{"role": "volunteer", "content": "plug 1 into that equation and tell me f(x) for x=1", "session_id": 14365, "sequence_id": 220, "annotations": []}
{"role": "student", "content": "negative?", "session_id": 14365, "sequence_id": 221, "annotations": []}
{"role": "student", "content": "i dont know", "session_id": 14365, "sequence_id": 222, "annotations": []}
{"role": "volunteer", "content": "just replace x with 1", "session_id": 14365, "sequence_id": 223, "annotations": []}
{"role": "volunteer", "content": "like I just did on the board", "session_id": 14365, "sequence_id": 224, "annotations": []}
{"role": "student", "content": "ok", "session_id": 14365, "sequence_id": 225, "annotations": []}
{"role": "student", "content": "so the <= is a closed circle but we need th slope first right?", "session_id": 14365, "sequence_id": 226, "annotations": []}
{"role": "volunteer", "content": "WE NEED THE POINT FIRST", "session_id": 14365, "sequence_id": 227, "annotations": []}
{"role": "volunteer", "content": "AND WE DON'T YET KNOW Y", "session_id": 14365, "sequence_id": 228, "annotations": []}
{"role": "student", "content": "what point? i thought were just graphing it?", "session_id": 14365, "sequence_id": 229, "annotations": []}
{"role": "volunteer", "content": "WHICH IS WHY I KEEP ASKING, OVER AND OVER", "session_id": 14365, "sequence_id": 230, "annotations": []}
{"role": "volunteer", "content": "we need to graph a point on f(x)", "session_id": 14365, "sequence_id": 231, "annotations": []}
{"role": "volunteer", "content": "its x-coordinate is 1", "session_id": 14365, "sequence_id": 232, "annotations": []}
{"role": "volunteer", "content": "we can't graph the point until we find the y-coordinate", "session_id": 14365, "sequence_id": 233, "annotations": []}
{"role": "volunteer", "content": "please just answer my question about the point)", "session_id": 14365, "sequence_id": 234, "annotations": []}
{"role": "student", "content": "im really lost", "session_id": 14365, "sequence_id": 235, "annotations": []}
{"role": "student", "content": "can you find another problem", "session_id": 14365, "sequence_id": 236, "annotations": []}
{"role": "volunteer", "content": "for x<=1, isn't f(x) defined to be -8/7 x -2?", "session_id": 14365, "sequence_id": 237, "annotations": []}
{"role": "volunteer", "content": "other problems will not be any easier", "session_id": 14365, "sequence_id": 238, "annotations": []}
{"role": "volunteer", "content": "isn't that the definition of f(x) for any value of x that is <=1?", "session_id": 14365, "sequence_id": 239, "annotations": []}
{"role": "student", "content": "yes?", "session_id": 14365, "sequence_id": 240, "annotations": []}
{"role": "volunteer", "content": "find -8/7 times 1 minus 2", "session_id": 14365, "sequence_id": 241, "annotations": []}
{"role": "student", "content": "i got -30/14", "session_id": 14365, "sequence_id": 242, "annotations": []}
{"role": "volunteer", "content": "no", "session_id": 14365, "sequence_id": 243, "annotations": []}
{"role": "student", "content": "what is it", "session_id": 14365, "sequence_id": 244, "annotations": []}
{"role": "volunteer", "content": "-3 1/7", "session_id": 14365, "sequence_id": 245, "annotations": []}
{"role": "student", "content": "please explain how", "session_id": 14365, "sequence_id": 246, "annotations": []}
{"role": "volunteer", "content": "like I just did on the board", "session_id": 14365, "sequence_id": 247, "annotations": []}
{"role": "volunteer", "content": "what other explanation is necessary?", "session_id": 14365, "sequence_id": 248, "annotations": []}
{"role": "student", "content": "where did you get -14/7", "session_id": 14365, "sequence_id": 249, "annotations": []}
{"role": "volunteer", "content": "-2", "session_id": 14365, "sequence_id": 250, "annotations": []}
{"role": "volunteer", "content": "multiply that times 7/7", "session_id": 14365, "sequence_id": 251, "annotations": []}
{"role": "volunteer", "content": "which doesn't change it because 7/7 is 1", "session_id": 14365, "sequence_id": 252, "annotations": []}
{"role": "student", "content": "oh", "session_id": 14365, "sequence_id": 253, "annotations": []}
{"role": "volunteer", "content": "I just drew a purple dot at approximately (1, -3 1/7)", "session_id": 14365, "sequence_id": 254, "annotations": []}
{"role": "student", "content": "but isnt -2 the y intercept", "session_id": 14365, "sequence_id": 255, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 14365, "sequence_id": 256, "annotations": []}
{"role": "volunteer", "content": "is my dot on the y-axis?", "session_id": 14365, "sequence_id": 257, "annotations": []}
{"role": "student", "content": "kinda of yes", "session_id": 14365, "sequence_id": 258, "annotations": []}
{"role": "volunteer", "content": "no", "session_id": 14365, "sequence_id": 259, "annotations": []}
{"role": "volunteer", "content": "my dot is at x=1", "session_id": 14365, "sequence_id": 260, "annotations": []}
{"role": "student", "content": "oh", "session_id": 14365, "sequence_id": 261, "annotations": []}
{"role": "volunteer", "content": "and I drew a closed circle because x<=1", "session_id": 14365, "sequence_id": 262, "annotations": []}
{"role": "student", "content": "yea", "session_id": 14365, "sequence_id": 263, "annotations": []}
{"role": "volunteer", "content": "and I just added a small dot on the y-intercept", "session_id": 14365, "sequence_id": 264, "annotations": []}
{"role": "student", "content": "yea i see", "session_id": 14365, "sequence_id": 265, "annotations": []}
{"role": "volunteer", "content": "y=-8/7 x -2 is a line that goes through those points", "session_id": 14365, "sequence_id": 266, "annotations": []}
{"role": "volunteer", "content": "but we only draw it to the left of the big dot because that equation only applies to x<=1", "session_id": 14365, "sequence_id": 267, "annotations": []}
{"role": "student", "content": "oh becasue the x is from including 1 and up", "session_id": 14365, "sequence_id": 268, "annotations": []}
{"role": "volunteer", "content": "1 and down", "session_id": 14365, "sequence_id": 269, "annotations": []}
{"role": "student", "content": "oh becasue its -8/7", "session_id": 14365, "sequence_id": 270, "annotations": []}
{"role": "volunteer", "content": "I just graphed half of the function", "session_id": 14365, "sequence_id": 271, "annotations": []}
{"role": "volunteer", "content": "the other half is for x>1", "session_id": 14365, "sequence_id": 272, "annotations": []}
{"role": "volunteer", "content": "that will start with an open circle because of > instead of >=", "session_id": 14365, "sequence_id": 273, "annotations": []}
{"role": "student", "content": "yea", "session_id": 14365, "sequence_id": 274, "annotations": []}
{"role": "volunteer", "content": "and the open circle will be at some point where x=1", "session_id": 14365, "sequence_id": 275, "annotations": []}
{"role": "volunteer", "content": "f(x) for x>1 is 3/7 x + 15/7", "session_id": 14365, "sequence_id": 276, "annotations": []}
{"role": "student", "content": "at 3/7?", "session_id": 14365, "sequence_id": 277, "annotations": []}
{"role": "volunteer", "content": "we need to find that at x=1", "session_id": 14365, "sequence_id": 278, "annotations": []}
{"role": "volunteer", "content": "x=1 is the endpoint again, but open circle instead of closed", "session_id": 14365, "sequence_id": 279, "annotations": []}
{"role": "volunteer", "content": "how much is 3/7 times 1 plus 15/7 ?", "session_id": 14365, "sequence_id": 280, "annotations": []}
{"role": "student", "content": "12/7", "session_id": 14365, "sequence_id": 281, "annotations": []}
{"role": "student", "content": "-12/7", "session_id": 14365, "sequence_id": 282, "annotations": []}
{"role": "volunteer", "content": "both are wrong", "session_id": 14365, "sequence_id": 283, "annotations": []}
{"role": "volunteer", "content": "3/7+15/7", "session_id": 14365, "sequence_id": 284, "annotations": []}
{"role": "student", "content": "18/7", "session_id": 14365, "sequence_id": 285, "annotations": []}
{"role": "volunteer", "content": "which is 2 4/7, which is about 2.5", "session_id": 14365, "sequence_id": 286, "annotations": []}
{"role": "volunteer", "content": "I drew and open circle at around (1,  2 4/7)", "session_id": 14365, "sequence_id": 287, "annotations": []}
{"role": "student", "content": "yea i see it", "session_id": 14365, "sequence_id": 288, "annotations": []}
{"role": "volunteer", "content": "what is the y-intercept for this equation", "session_id": 14365, "sequence_id": 289, "annotations": []}
{"role": "volunteer", "content": "?", "session_id": 14365, "sequence_id": 290, "annotations": []}
{"role": "student", "content": "15/7", "session_id": 14365, "sequence_id": 291, "annotations": []}
{"role": "volunteer", "content": "yes, which is just barely above 2", "session_id": 14365, "sequence_id": 292, "annotations": []}
{"role": "volunteer", "content": "but this one is only for x>1", "session_id": 14365, "sequence_id": 293, "annotations": []}
{"role": "student", "content": "huh", "session_id": 14365, "sequence_id": 294, "annotations": []}
{"role": "student", "content": "we need to find it for eerything else too?", "session_id": 14365, "sequence_id": 295, "annotations": []}
{"role": "volunteer", "content": "you left out the x>1 part, remember?", "session_id": 14365, "sequence_id": 296, "annotations": []}
{"role": "volunteer", "content": "first we found it for x<=1, then we found it for x>1", "session_id": 14365, "sequence_id": 297, "annotations": []}
{"role": "volunteer", "content": "that covers everything", "session_id": 14365, "sequence_id": 298, "annotations": []}
{"role": "student", "content": "so now we have to find x>1", "session_id": 14365, "sequence_id": 299, "annotations": []}
{"role": "volunteer", "content": "green line going to the right from the open circle at x=1", "session_id": 14365, "sequence_id": 300, "annotations": []}
{"role": "student", "content": "ok", "session_id": 14365, "sequence_id": 301, "annotations": []}
{"role": "volunteer", "content": "we are done graphing", "session_id": 14365, "sequence_id": 302, "annotations": []}
{"role": "student", "content": "ok", "session_id": 14365, "sequence_id": 303, "annotations": []}
{"role": "student", "content": "now we can find domain and range", "session_id": 14365, "sequence_id": 304, "annotations": []}
{"role": "volunteer", "content": "domain", "session_id": 14365, "sequence_id": 305, "annotations": []}
{"role": "volunteer", "content": "have we covered all possible real number values of x?", "session_id": 14365, "sequence_id": 306, "annotations": []}
{"role": "volunteer", "content": "from -infinity to infinity?", "session_id": 14365, "sequence_id": 307, "annotations": []}
{"role": "student", "content": "the domain is from (-oo, 1] U (1, oo)", "session_id": 14365, "sequence_id": 308, "annotations": []}
{"role": "volunteer", "content": "No", "session_id": 14365, "sequence_id": 309, "annotations": []}
{"role": "volunteer", "content": "you don't need to break it up", "session_id": 14365, "sequence_id": 310, "annotations": []}
{"role": "volunteer", "content": "x can be 1", "session_id": 14365, "sequence_id": 311, "annotations": []}
{"role": "volunteer", "content": "there is no gap there", "session_id": 14365, "sequence_id": 312, "annotations": []}
{"role": "student", "content": "when do i do break it up?", "session_id": 14365, "sequence_id": 313, "annotations": []}
{"role": "volunteer", "content": "when there is a gap", "session_id": 14365, "sequence_id": 314, "annotations": []}
{"role": "volunteer", "content": "like x<=1 and x>2", "session_id": 14365, "sequence_id": 315, "annotations": []}
{"role": "volunteer", "content": "then there is a gap between 1 and 2", "session_id": 14365, "sequence_id": 316, "annotations": []}
{"role": "student", "content": "ohhh so because both is on x=1 theres no need to break it up", "session_id": 14365, "sequence_id": 317, "annotations": []}
{"role": "volunteer", "content": "right", "session_id": 14365, "sequence_id": 318, "annotations": []}
{"role": "volunteer", "content": "range", "session_id": 14365, "sequence_id": 319, "annotations": []}
{"role": "volunteer", "content": "what's the smallest value of y you see?", "session_id": 14365, "sequence_id": 320, "annotations": []}
{"role": "student", "content": "-3 1/7", "session_id": 14365, "sequence_id": 321, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 14365, "sequence_id": 322, "annotations": []}
{"role": "volunteer", "content": "just looking at the left pointing line, can y have all possible values >=-3 1/7 ?", "session_id": 14365, "sequence_id": 323, "annotations": []}
{"role": "student", "content": "yes", "session_id": 14365, "sequence_id": 324, "annotations": []}
{"role": "volunteer", "content": "range is [-3 1/7, infinity]", "session_id": 14365, "sequence_id": 325, "annotations": []}
{"role": "volunteer", "content": "oope", "session_id": 14365, "sequence_id": 326, "annotations": []}
{"role": "volunteer", "content": "StudentA", "session_id": 14365, "sequence_id": 327, "annotations": [{"pii_type": "PERSON", "surrogate": "StudentA", "start": 0, "end": 8}]}
{"role": "volunteer", "content": "oops", "session_id": 14365, "sequence_id": 328, "annotations": []}
{"role": "volunteer", "content": "infinity)", "session_id": 14365, "sequence_id": 329, "annotations": []}
{"role": "volunteer", "content": "done", "session_id": 14365, "sequence_id": 330, "annotations": []}
{"role": "volunteer", "content": "do you understand it, now?", "session_id": 14365, "sequence_id": 331, "annotations": []}
{"role": "student", "content": "yes i do", "session_id": 14365, "sequence_id": 332, "annotations": []}
{"role": "volunteer", "content": "great!", "session_id": 14365, "sequence_id": 333, "annotations": []}
{"role": "volunteer", "content": "I've got to go, now.", "session_id": 14365, "sequence_id": 334, "annotations": []}
{"role": "student", "content": "ok bye", "session_id": 14365, "sequence_id": 335, "annotations": []}
{"role": "volunteer", "content": "bye", "session_id": 14365, "sequence_id": 336, "annotations": []}
{"role": "student", "content": "bye", "session_id": 14365, "sequence_id": 337, "annotations": []}
{"role": "volunteer", "content": "Hello, how can I help you", "session_id": 14381, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "I need help solving a math question", "session_id": 14381, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "Whats the problem", "session_id": 14381, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "A scale on a hiking map shows that 3 inches represents 1.25 miles, what number of inches on the map represent 10 actual miles", "session_id": 14381, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "So 3in = 1.25 and ?in=10 miles", "session_id": 14381, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "Correct?", "session_id": 14381, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 14381, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "Okay first we need to find out how many miles is in one inch", "session_id": 14381, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "Do you know how to do that", "session_id": 14381, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "Do we divide?", "session_id": 14381, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "Correct!!", "session_id": 14381, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "Which numbers though because we're given 3 different numbers", "session_id": 14381, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "Maybe 3 and 1.25?", "session_id": 14381, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "Exactly! So go ahead and divide 3/1.25", "session_id": 14381, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "1.25/3 is what I meant!", "session_id": 14381, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "0.416", "session_id": 14381, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "Great, now we need to multiply that number by what?", "session_id": 14381, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "10?", "session_id": 14381, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "Yup!", "session_id": 14381, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "So it's 4.16", "session_id": 14381, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "Perfect!", "session_id": 14381, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "Is that all you needed?", "session_id": 14381, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "Yep", "session_id": 14381, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "Thank you !", "session_id": 14381, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "No problem, enjoy your evening!", "session_id": 14381, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "Hey there!", "session_id": 14391, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "Hi ace", "session_id": 14391, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "I need help with a math problem", "session_id": 14391, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "Hey! What do you need help with?", "session_id": 14391, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "Ok can you put a photo of it or type it in the chat?", "session_id": 14391, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "Ioodie-133 has a half-life of 8 days how much is the original 40-gram sample would be left after 40 days", "session_id": 14391, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "that the question", "session_id": 14391, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "Hm, are you able to put a photo of it on the paper", "session_id": 14391, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "ok", "session_id": 14391, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "if you could flip it Idk how to do that", "session_id": 14391, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "no worries, let me take a look", "session_id": 14391, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "ok", "session_id": 14391, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "I know the method for it", "session_id": 14391, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "A=a(0.5)^x", "session_id": 14391, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "Hi Leo", "session_id": 14427, "sequence_id": 0, "annotations": [{"pii_type": "PERSON", "surrogate": "Leo", "start": 3, "end": 6}]}
{"role": "student", "content": "hi", "session_id": 14427, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "so I was asked to solve for this using partial fractions", "session_id": 14427, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "and im not sure if I'm doing it right", "session_id": 14427, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "I'm checking your calculation...", "session_id": 14427, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "Can you give me 2 minutes to solve, to see if your solution is correct?", "session_id": 14427, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "ok", "session_id": 14427, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "We can start. Do you see what I boxed in blue color?", "session_id": 14427, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "yes", "session_id": 14427, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "This is one method of solution for partial fractions.", "session_id": 14427, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "By assuming that x=-a, we quickly find the value of A, as I'll show on the board.", "session_id": 14427, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "Then, we assume x = -b, and we get the value of B.", "session_id": 14427, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "ohh ok", "session_id": 14427, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "There are other methods, but what I'm showing works well.", "session_id": 14427, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "ok", "session_id": 14427, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "Anything else I can help you with?", "session_id": 14427, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "not tat the moment no", "session_id": 14427, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "thanks for the help:)", "session_id": 14427, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "Hello", "session_id": 14655, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "hi, I'm trying to do the problem on the board but it seems like no matter which way I try it i cant do it", "session_id": 14655, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "the first one is labeled 1 with an explanation of why it didn't work the second one I started but also didn't finish because it didndt work", "session_id": 14655, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "so what are u trying to do in the first one", "session_id": 14655, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "are u trying to find the zeros or the vertex", "session_id": 14655, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "in the first one I distribute the negative 1 before trying to complete the square", "session_id": 14655, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "the vertex", "session_id": 14655, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "ok so for complete the square ill show you how to do it and compare it with what you did", "session_id": 14655, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "ok", "session_id": 14655, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "let\u2019s find the zeros first because that is what complete the square is mainly used for, so we set it equal to zero", "session_id": 14655, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "mainly, the negative sign is the part that causes the confusion so we can remove that by dividing both sides by -1", "session_id": 14655, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "so now the left side becomes positive", "session_id": 14655, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "so would this be the function in standard form then?", "session_id": 14655, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "yes so this is the function in standard form", "session_id": 14655, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "what would be the vertex based on the standard form", "session_id": 14655, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "1,-16", "session_id": 14655, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "its supposed to be (1,16) tho according to my answer key", "session_id": 14655, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "yes because you know how e divided by negative 1 in the beginning", "session_id": 14655, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "thats the remove the negative to make complete the square much easier", "session_id": 14655, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "but when we write it back in standard form we have to multiply the negative 1 back", "session_id": 14655, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "so the equation would become -(x-1)^2+16", "session_id": 14655, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "which would make the vertex (1,16)", "session_id": 14655, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "does that make sesne", "session_id": 14655, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "shouldn't the negative 1 multiply to the entire thing tho, not just the -16?", "session_id": 14655, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "yeah sorry in the text the negative appears in the line up for some reason", "session_id": 14655, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "does this make sense", "session_id": 14655, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "yea I think so. but the don't you have to multiply the - to what's in the parentheses", "session_id": 14655, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "no because muiplying it out of the parenthesis is the same thing as multiplying each term in the parenthesis by -1 so we keep the eat i\u2019ve sign on the outside", "session_id": 14655, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "does this make sense", "session_id": 14655, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "not really", "session_id": 14655, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "would it make it not in standard form anymore?", "session_id": 14655, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "its still in standard form cause standard form is written as a(x-h)^2+k where a can be any constant and (h,k) is the vertex", "session_id": 14655, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "in this case a is -1", "session_id": 14655, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "so this is in standard form", "session_id": 14655, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "so if e distribute the negative one, it wouldn't be in standard form anymore eis what ur saying", "session_id": 14655, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "yes cause the parenthesis is being raised the the power so if you wanna distribute you have to do (x-1)^2 then distribute the negative 1 but if we do that it wouldn\u2019t be in standard form anymore", "session_id": 14655, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "could you do that and get it back to standard form or no", "session_id": 14655, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "no cause if you put it back in standard form you\u2019ll end up with whatever we started with originally. the x in the parenthesis must be positive for standard form as well so making it negative will not get you standard orm", "session_id": 14655, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "got it", "session_id": 14655, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "and what was wrong about what I was doing earlier? I was doing it how my teacher was doing it", "session_id": 14655, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "its just the negative is causing problems to we have to distribute it back out", "session_id": 14655, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "ill show you how", "session_id": 14655, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "it doesn't look like the negative caused any problems. am I not seeing it right?", "session_id": 14655, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "for me what i learned was o multiply the negative 1 later but based on what ur teacher is doing treat the -1 as a coefficient of x^2 to be factored out", "session_id": 14655, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "its just in my opinion a lot ore confusing to have the negative 1 in there which is what i learned in school", "session_id": 14655, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "so my teacher taught e to divide the negative 1 out then multiply it later", "session_id": 14655, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "wait so then would you be able to teach me how to do it correctly my teachers way?", "session_id": 14655, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "taking taking it out as a coefficient", "session_id": 14655, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "yes so look at the bottom and ill show the steps", "session_id": 14655, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "ohh ok thanks. idk why that was so hard for me to do", "session_id": 14655, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "it\u2019s fine everyone makes mistakes", "session_id": 14655, "sequence_id": 50, "annotations": []}
{"role": "student", "content": "that was all. thank you for helping me", "session_id": 14655, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "no problem", "session_id": 14655, "sequence_id": 52, "annotations": []}
{"role": "student", "content": "have a good rest of your evening", "session_id": 14655, "sequence_id": 53, "annotations": []}
{"role": "student", "content": "bye", "session_id": 14655, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "bye", "session_id": 14655, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "hey!", "session_id": 14672, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "how are ya?", "session_id": 14672, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "Good", "session_id": 14672, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "How are you", "session_id": 14672, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "pretty tired, but ready to tutor you in geometry :)", "session_id": 14672, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "Okay let\u2019s do it \u00a1", "session_id": 14672, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "okay, what can i help you with?", "session_id": 14672, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "I am ATTACHING THE PROBLEM", "session_id": 14672, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "12x?", "session_id": 14672, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "ohh", "session_id": 14672, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "do you know what adjacent complementary angles are?", "session_id": 14672, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "I\u2019m sorry , just number 3 please", "session_id": 14672, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "I just need to know a step by step with that problem", "session_id": 14672, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "okay", "session_id": 14672, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "so we know that angle(KJN) 180 degrees because its a straight line", "session_id": 14672, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "and it already has a right angle at KJL", "session_id": 14672, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "KJL+LJN=KJN because they are supplementary", "session_id": 14672, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "KJL is 90 degree angle (because it is given that the angle is a box) and we know that KJN 180 because its a line", "session_id": 14672, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "so 90+KJL=180", "session_id": 14672, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "so KJL=90", "session_id": 14672, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "So would KJL be my adjacent angle?", "session_id": 14672, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "no", "session_id": 14672, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "the things inside would be adjacent and complimentary", "session_id": 14672, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "So like angles LM", "session_id": 14672, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "oops!", "session_id": 14672, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "i meant LJN-90", "session_id": 14672, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "because it\u2019s inside of the KJn", "session_id": 14672, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "LJN=90", "session_id": 14672, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "oh okay", "session_id": 14672, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "So what\u2019s my adjacent angle", "session_id": 14672, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "so whats inside LJN is complementary", "session_id": 14672, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "adjacent means the angles that are next to each other", "session_id": 14672, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "so which angles are next to each other that make up LJN?", "session_id": 14672, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "LJP?", "session_id": 14672, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "nl", "session_id": 14672, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "no", "session_id": 14672, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "LJM and MJN", "session_id": 14672, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "because if you add them together that equals LJN", "session_id": 14672, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "I see it now", "session_id": 14672, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "yes, thats great", "session_id": 14672, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "Okay thanks", "session_id": 14672, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "are there any other complementary adjecent angles?", "session_id": 14672, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "That\u2019s all I needed to know for know but that was really helpful", "session_id": 14672, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "NJP is adjacent right ?", "session_id": 14672, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "when youre saying adjacent, you have to say two angles", "session_id": 14672, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "because adjacent by definition means \"next to\"", "session_id": 14672, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "MJN IS ADJACENT TO NJP", "session_id": 14672, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "Am I right ?", "session_id": 14672, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "that is correct", "session_id": 14672, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "but is it complementary? how would you check", "session_id": 14672, "sequence_id": 49, "annotations": []}
{"role": "student", "content": "Check if it equals 90 degree?", "session_id": 14672, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 14672, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "ow", "session_id": 14672, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "how*", "session_id": 14672, "sequence_id": 53, "annotations": []}
{"role": "student", "content": "Subtract 49from 90", "session_id": 14672, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "does that equal MJN>", "session_id": 14672, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "MJN?", "session_id": 14672, "sequence_id": 56, "annotations": []}
{"role": "student", "content": "No", "session_id": 14672, "sequence_id": 57, "annotations": []}
{"role": "student", "content": "I don\u2019t think so", "session_id": 14672, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "so then it is not adjacent complementary angles", "session_id": 14672, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "meaning that there were only one pair", "session_id": 14672, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "okay good job!", "session_id": 14672, "sequence_id": 61, "annotations": []}
{"role": "student", "content": "Thanks", "session_id": 14672, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "have a good day :)", "session_id": 14672, "sequence_id": 63, "annotations": []}
{"role": "student", "content": "You too ,)", "session_id": 14672, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "Hi! How can I help you?", "session_id": 15013, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "Same thing as before!", "session_id": 15013, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "so the firstone is 6", "session_id": 15013, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "is this right?", "session_id": 15013, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "wait why did you put 3 to the power of -2?", "session_id": 15013, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "and also 1 squared is just 1", "session_id": 15013, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "because 1x1=1", "session_id": 15013, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "and 3 to the power of -2 would be 0.1111 going on forever", "session_id": 15013, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "its (3)^-2", "session_id": 15013, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "yea 3 to the power of -2 right?", "session_id": 15013, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "because 3 squared is 6", "session_id": 15013, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "but 3 to the power of -2 is not 6", "session_id": 15013, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "oh right", "session_id": 15013, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "yea", "session_id": 15013, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "nah 3 to the power of -2 isn't -6", "session_id": 15013, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "because when the exponent is negative it's different", "session_id": 15013, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "ok now what do i do", "session_id": 15013, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "okay so for the 1/2^2 did u mean (1/2)^2", "session_id": 15013, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "mhm", "session_id": 15013, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "no paranthesis", "session_id": 15013, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "so 1/2 is the same as 0.5", "session_id": 15013, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "and 0.5^2 is 0.25", "session_id": 15013, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "and 2/2 is 1", "session_id": 15013, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "which is not 0.25", "session_id": 15013, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "actually", "session_id": 15013, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "no i meant paranthesis", "session_id": 15013, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "sorry about that", "session_id": 15013, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "can you type it out for me in the chat?", "session_id": 15013, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "(1/2)^2", "session_id": 15013, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "yea thats 0.25", "session_id": 15013, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "because 1/2 is 0.5", "session_id": 15013, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "actually ill just send u the pdf", "session_id": 15013, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "Alice", "session_id": 15013, "sequence_id": 32, "annotations": [{"pii_type": "PERSON", "surrogate": "Alice", "start": 0, "end": 5}]}
{"role": "volunteer", "content": "k", "session_id": 15013, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "https://example.com/document.pdf", "session_id": 15013, "sequence_id": 34, "annotations": [{"pii_type": "URL", "surrogate": "https://example.com/document.pdf", "start": 0, "end": 32}]}
{"role": "student", "content": "page 2 problem 23", "session_id": 15013, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "I need a problem just like that except with diff numbers", "session_id": 15013, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "I'm only allowed to see documents here on this platform on the document editor", "session_id": 15013, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "You can access it as long as it doesn't show your personal info", "session_id": 15013, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "Like it can't be alink to something where i can see your name and info", "session_id": 15013, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "The pdf doesn't disclose that", "session_id": 15013, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "Nah like I can't copy and paste the link you gave me", "session_id": 15013, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "The program coordinator told me that", "session_id": 15013, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "Or whatever she is she's the coordinator of something in Springfield", "session_id": 15013, "sequence_id": 43, "annotations": [{"pii_type": "LOCATION", "surrogate": "Springfield", "start": 57, "end": 68}]}
{"role": "volunteer", "content": "k", "session_id": 15013, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "I had a meeting with her about it", "session_id": 15013, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "the thing is I can", "session_id": 15013, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "cannot copy and paste the link", "session_id": 15013, "sequence_id": 47, "annotations": []}
{"role": "student", "content": "She said coaches can access links as long as its safe and doesn't show your info", "session_id": 15013, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "it doesn'twork", "session_id": 15013, "sequence_id": 49, "annotations": []}
{"role": "student", "content": "Here", "session_id": 15013, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "k", "session_id": 15013, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "okay so I see that you solved it", "session_id": 15013, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "did you wanna check if its right?", "session_id": 15013, "sequence_id": 53, "annotations": []}
{"role": "student", "content": "No", "session_id": 15013, "sequence_id": 54, "annotations": []}
{"role": "student", "content": "I want a problem just like that but with different numbers", "session_id": 15013, "sequence_id": 55, "annotations": []}
{"role": "student", "content": "So I can solve the one you create", "session_id": 15013, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "Oh for practice", "session_id": 15013, "sequence_id": 57, "annotations": []}
{"role": "student", "content": "yes", "session_id": 15013, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "Yea um the picture quality on the image you sent me isn't great so I can't actually read the original question", "session_id": 15013, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "i can only read the answer because it's in bigger numbers", "session_id": 15013, "sequence_id": 60, "annotations": []}
{"role": "student", "content": "ill write out what it says", "session_id": 15013, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "k", "session_id": 15013, "sequence_id": 62, "annotations": []}
{"role": "student", "content": "3^-1+2^2-?5/3)^-2", "session_id": 15013, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "okay let me think", "session_id": 15013, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "(4^-1)+(3^2)-(4/3)^-2", "session_id": 15013, "sequence_id": 65, "annotations": []}
{"role": "student", "content": "can u write it on the whiteboard", "session_id": 15013, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "sure", "session_id": 15013, "sequence_id": 67, "annotations": []}
{"role": "student", "content": "thanks", "session_id": 15013, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "No problem!", "session_id": 15013, "sequence_id": 69, "annotations": []}
{"role": "student", "content": "ok so its", "session_id": 15013, "sequence_id": 70, "annotations": []}
{"role": "student", "content": "-4?", "session_id": 15013, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "Not quite. This one is a bit tricky but the answer 12/16", "session_id": 15013, "sequence_id": 72, "annotations": []}
{"role": "student", "content": "no im asking about the first part", "session_id": 15013, "sequence_id": 73, "annotations": []}
{"role": "student", "content": "like how do u solve this", "session_id": 15013, "sequence_id": 74, "annotations": []}
{"role": "volunteer", "content": "Okay let me walk you through it", "session_id": 15013, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "so first we need to simplify the terms", "session_id": 15013, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "4^-1 is the same thing as 1/4", "session_id": 15013, "sequence_id": 77, "annotations": []}
{"role": "student", "content": "ohh right", "session_id": 15013, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "3^2 is the same thing as 9", "session_id": 15013, "sequence_id": 79, "annotations": []}
{"role": "student", "content": "mhm", "session_id": 15013, "sequence_id": 80, "annotations": []}
{"role": "student", "content": "and then its -8/3?", "session_id": 15013, "sequence_id": 81, "annotations": []}
{"role": "volunteer", "content": "and (4/3)^-2 is the same thing as (3/4)^2 because we flip the fraction so we flip the sign. And (3/4)^2 is the same thing as just 9/16.", "session_id": 15013, "sequence_id": 82, "annotations": []}
{"role": "volunteer", "content": "and so now we have 1/4 + 9 -9/16", "session_id": 15013, "sequence_id": 83, "annotations": []}
{"role": "student", "content": "wait", "session_id": 15013, "sequence_id": 84, "annotations": []}
{"role": "student", "content": "can u show this on the whiteboard please", "session_id": 15013, "sequence_id": 85, "annotations": []}
{"role": "volunteer", "content": "yea", "session_id": 15013, "sequence_id": 86, "annotations": []}
{"role": "student", "content": "its gone", "session_id": 15013, "sequence_id": 87, "annotations": []}
{"role": "volunteer", "content": "yea i wanted to make space for the new simplified equation", "session_id": 15013, "sequence_id": 88, "annotations": []}
{"role": "student", "content": "wait", "session_id": 15013, "sequence_id": 89, "annotations": []}
{"role": "student", "content": "i have written down 1/4+9(-4/3)^2", "session_id": 15013, "sequence_id": 90, "annotations": []}
{"role": "volunteer", "content": "oh its supposed to be what I've written on the board", "session_id": 15013, "sequence_id": 91, "annotations": []}
{"role": "volunteer", "content": "because we had simplified (4/3)^2", "session_id": 15013, "sequence_id": 92, "annotations": []}
{"role": "volunteer", "content": "sorry we had simplified (4/3)^-2", "session_id": 15013, "sequence_id": 93, "annotations": []}
{"role": "student", "content": "oh you flip it", "session_id": 15013, "sequence_id": 94, "annotations": []}
{"role": "student", "content": "k i see", "session_id": 15013, "sequence_id": 95, "annotations": []}
{"role": "volunteer", "content": "Yup!", "session_id": 15013, "sequence_id": 96, "annotations": []}
{"role": "student", "content": "ok", "session_id": 15013, "sequence_id": 97, "annotations": []}
{"role": "student", "content": "now what", "session_id": 15013, "sequence_id": 98, "annotations": []}
{"role": "student", "content": "tims 1/4 by 4?", "session_id": 15013, "sequence_id": 99, "annotations": []}
{"role": "volunteer", "content": "yea basically to make it so that its 4/16 because thats the same thing has 1/4", "session_id": 15013, "sequence_id": 100, "annotations": []}
{"role": "student", "content": "kk", "session_id": 15013, "sequence_id": 101, "annotations": []}
{"role": "volunteer", "content": "so now", "session_id": 15013, "sequence_id": 102, "annotations": []}
{"role": "volunteer", "content": "we need to make 9 a fraction", "session_id": 15013, "sequence_id": 103, "annotations": []}
{"role": "student", "content": "so its", "session_id": 15013, "sequence_id": 104, "annotations": []}
{"role": "volunteer", "content": "with the denominator as 16", "session_id": 15013, "sequence_id": 105, "annotations": []}
{"role": "student", "content": "4/16+9-9/16", "session_id": 15013, "sequence_id": 106, "annotations": []}
{"role": "volunteer", "content": "Yes!", "session_id": 15013, "sequence_id": 107, "annotations": []}
{"role": "student", "content": "so i do 4/16", "session_id": 15013, "sequence_id": 108, "annotations": []}
{"role": "volunteer", "content": "not yet", "session_id": 15013, "sequence_id": 109, "annotations": []}
{"role": "student", "content": "kk", "session_id": 15013, "sequence_id": 110, "annotations": []}
{"role": "volunteer", "content": "we need to turn 9 into a fractoin", "session_id": 15013, "sequence_id": 111, "annotations": []}
{"role": "volunteer", "content": "with a denominator of 16", "session_id": 15013, "sequence_id": 112, "annotations": []}
{"role": "student", "content": "oh right", "session_id": 15013, "sequence_id": 113, "annotations": []}
{"role": "volunteer", "content": "so we now need to multiply 16 by 9", "session_id": 15013, "sequence_id": 114, "annotations": []}
{"role": "volunteer", "content": "which would 144", "session_id": 15013, "sequence_id": 115, "annotations": []}
{"role": "student", "content": "144/16", "session_id": 15013, "sequence_id": 116, "annotations": []}
{"role": "volunteer", "content": "Yes!", "session_id": 15013, "sequence_id": 117, "annotations": []}
{"role": "volunteer", "content": "now plug that in back into the equation", "session_id": 15013, "sequence_id": 118, "annotations": []}
{"role": "student", "content": "139/16", "session_id": 15013, "sequence_id": 119, "annotations": []}
{"role": "volunteer", "content": "Yes! That is your answer!", "session_id": 15013, "sequence_id": 120, "annotations": []}
{"role": "volunteer", "content": "Looks like your getting the hang of it now!", "session_id": 15013, "sequence_id": 121, "annotations": []}
{"role": "student", "content": ":)", "session_id": 15013, "sequence_id": 122, "annotations": []}
{"role": "volunteer", "content": "Alright is that all for today?", "session_id": 15013, "sequence_id": 123, "annotations": []}
{"role": "student", "content": "lets do 24", "session_id": 15013, "sequence_id": 124, "annotations": []}
{"role": "student", "content": "and 25", "session_id": 15013, "sequence_id": 125, "annotations": []}
{"role": "volunteer", "content": "Oh shoot I have to go now. Got some classes to attend. If you need any help later, let me know!", "session_id": 15013, "sequence_id": 126, "annotations": []}
{"role": "student", "content": "ok, thanks! bye", "session_id": 15013, "sequence_id": 127, "annotations": []}
{"role": "volunteer", "content": "hi Chicago", "session_id": 15029, "sequence_id": 0, "annotations": [{"pii_type": "LOCATION", "surrogate": "Chicago", "start": 3, "end": 10}]}
{"role": "student", "content": "hello coach David", "session_id": 15029, "sequence_id": 1, "annotations": [{"pii_type": "PERSON", "surrogate": "David", "start": 12, "end": 17}]}
{"role": "volunteer", "content": "Welcome to your 2nd Sarah session!", "session_id": 15029, "sequence_id": 2, "annotations": [{"pii_type": "PERSON", "surrogate": "Sarah", "start": 20, "end": 25}]}
{"role": "student", "content": "!!!", "session_id": 15029, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "are you uploading a problem?", "session_id": 15029, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "yes", "session_id": 15029, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "sorry for the wait here it is", "session_id": 15029, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "I see it", "session_id": 15029, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "okay", "session_id": 15029, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "so if im right the lor is the midpoint?", "session_id": 15029, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "betweent the 2 triangles", "session_id": 15029, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "yeah, that's one way of saying it", "session_id": 15029, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "oh", "session_id": 15029, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "whats the other way?", "session_id": 15029, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "a line is not really a midpoint", "session_id": 15029, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "a midpoint is a point", "session_id": 15029, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "but, if you find the midpoint between A and A', and the midpoint between C and C', and draw a line between those points, then you'll have the line of reflection", "session_id": 15029, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "then divide it by 2?", "session_id": 15029, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "divide what by 2?", "session_id": 15029, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "like say the lor was 14 between A &A'", "session_id": 15029, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "then you split it and youd get 7", "session_id": 15029, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "or no?", "session_id": 15029, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "you aren't describing this very clearly", "session_id": 15029, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "sorry", "session_id": 15029, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "find the difference in x-coordinate between A and A'.", "session_id": 15029, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "Divide that in half. Move that many spaces from A to get the x-coordinate for the midpoint", "session_id": 15029, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "Do the same for y", "session_id": 15029, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "do i need to make a coordinate graph?", "session_id": 15029, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "you need to draw on the image you uploaded", "session_id": 15029, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "okay", "session_id": 15029, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "from A, how many units to the right and up do you need to go?", "session_id": 15029, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "<6,2>", "session_id": 15029, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "no", "session_id": 15029, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "remember to divide by 2 after finding the difference", "session_id": 15029, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "so", "session_id": 15029, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "6/2/2", "session_id": 15029, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "i mean", "session_id": 15029, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "6-2/2", "session_id": 15029, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "which is 2", "session_id": 15029, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "no", "session_id": 15029, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "let's start with x", "session_id": 15029, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "i dont get it", "session_id": 15029, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "how far from A to A'", "session_id": 15029, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "?", "session_id": 15029, "sequence_id": 43, "annotations": []}
{"role": "student", "content": "6", "session_id": 15029, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "divide that by 2", "session_id": 15029, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "3", "session_id": 15029, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 15029, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "now do the same for y", "session_id": 15029, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "so what did i do wrong", "session_id": 15029, "sequence_id": 49, "annotations": []}
{"role": "student", "content": "ohhh", "session_id": 15029, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "did you tell me 3?", "session_id": 15029, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "was it because i subtracted?", "session_id": 15029, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "you told me how far from A to A'", "session_id": 15029, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "I was asking how far from A to where you need to graph the midpoint", "session_id": 15029, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "the midpoint is halfway, so you divide by 2", "session_id": 15029, "sequence_id": 55, "annotations": []}
{"role": "student", "content": "oh okayy", "session_id": 15029, "sequence_id": 56, "annotations": []}
{"role": "student", "content": "so now i do C and C'?", "session_id": 15029, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "after you draw the midpoint for A and A' on the whiteboard where I can see it", "session_id": 15029, "sequence_id": 58, "annotations": []}
{"role": "student", "content": "like that?", "session_id": 15029, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "draw a point where those lines intersect, then delete the lines", "session_id": 15029, "sequence_id": 60, "annotations": []}
{"role": "student", "content": "there", "session_id": 15029, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "good", "session_id": 15029, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "now do the same for C and C'", "session_id": 15029, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "you don't need to draw intersecting lines", "session_id": 15029, "sequence_id": 64, "annotations": []}
{"role": "student", "content": "12", "session_id": 15029, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "you can find the x and y differences, divide by 2, just count that many lines to the right and up", "session_id": 15029, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "12 from C to C'", "session_id": 15029, "sequence_id": 67, "annotations": []}
{"role": "student", "content": "is it 12/2 which is 6", "session_id": 15029, "sequence_id": 68, "annotations": []}
{"role": "student", "content": "yes", "session_id": 15029, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "yes, 6 for the midpoint", "session_id": 15029, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "x", "session_id": 15029, "sequence_id": 71, "annotations": []}
{"role": "student", "content": "so", "session_id": 15029, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "no", "session_id": 15029, "sequence_id": 73, "annotations": []}
{"role": "student", "content": "oh", "session_id": 15029, "sequence_id": 74, "annotations": []}
{"role": "volunteer", "content": "your point has the same y as C'", "session_id": 15029, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "it's supposed to be halfway between C and C'", "session_id": 15029, "sequence_id": 76, "annotations": []}
{"role": "student", "content": "im confused", "session_id": 15029, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "what are you confused about? your new point is correct", "session_id": 15029, "sequence_id": 78, "annotations": []}
{"role": "student", "content": "ohh", "session_id": 15029, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "the first one was wrong", "session_id": 15029, "sequence_id": 80, "annotations": []}
{"role": "student", "content": "oh", "session_id": 15029, "sequence_id": 81, "annotations": []}
{"role": "volunteer", "content": "now draw a line through those points and you'll have your answer", "session_id": 15029, "sequence_id": 82, "annotations": []}
{"role": "student", "content": "okay", "session_id": 15029, "sequence_id": 83, "annotations": []}
{"role": "student", "content": "like that?", "session_id": 15029, "sequence_id": 84, "annotations": []}
{"role": "volunteer", "content": "looks right to me. does it look like the line of reflection to you?", "session_id": 15029, "sequence_id": 85, "annotations": []}
{"role": "student", "content": "yes", "session_id": 15029, "sequence_id": 86, "annotations": []}
{"role": "volunteer", "content": "it is correct", "session_id": 15029, "sequence_id": 87, "annotations": []}
{"role": "student", "content": "wait i have to put it", "session_id": 15029, "sequence_id": 88, "annotations": []}
{"role": "volunteer", "content": "still working on it?", "session_id": 15029, "sequence_id": 89, "annotations": []}
{"role": "student", "content": "yes", "session_id": 15029, "sequence_id": 90, "annotations": []}
{"role": "student", "content": "keep saying its wrong", "session_id": 15029, "sequence_id": 91, "annotations": []}
{"role": "student", "content": "but i graphed it right", "session_id": 15029, "sequence_id": 92, "annotations": []}
{"role": "volunteer", "content": "want to upload a picture of the answer you put it?", "session_id": 15029, "sequence_id": 93, "annotations": []}
{"role": "student", "content": "yes but it changed it but ik the midpoint for each one", "session_id": 15029, "sequence_id": 94, "annotations": []}
{"role": "volunteer", "content": "what more can I do for you at this point? the answer you drew on the whiteboard here is correct", "session_id": 15029, "sequence_id": 95, "annotations": []}
{"role": "student", "content": "no like it put a different problem", "session_id": 15029, "sequence_id": 96, "annotations": []}
{"role": "student", "content": "but i know the midpoint to it", "session_id": 15029, "sequence_id": 97, "annotations": []}
{"role": "volunteer", "content": "that lower blue dot", "session_id": 15029, "sequence_id": 98, "annotations": []}
{"role": "volunteer", "content": "is its y the same as B or halfway between B and B'?", "session_id": 15029, "sequence_id": 99, "annotations": []}
{"role": "student", "content": "isnt it 9", "session_id": 15029, "sequence_id": 100, "annotations": []}
{"role": "volunteer", "content": "I'm asking about y, not x", "session_id": 15029, "sequence_id": 101, "annotations": []}
{"role": "student", "content": "i dont know what your saying", "session_id": 15029, "sequence_id": 102, "annotations": []}
{"role": "volunteer", "content": "up/down, not right/left", "session_id": 15029, "sequence_id": 103, "annotations": []}
{"role": "volunteer", "content": "you picked a point whose y-coordinate is the same as point B", "session_id": 15029, "sequence_id": 104, "annotations": []}
{"role": "volunteer", "content": "it is supposed to be halfway between B and B'", "session_id": 15029, "sequence_id": 105, "annotations": []}
{"role": "volunteer", "content": "do you see?", "session_id": 15029, "sequence_id": 106, "annotations": []}
{"role": "student", "content": "so its not 9?", "session_id": 15029, "sequence_id": 107, "annotations": []}
{"role": "volunteer", "content": "x-coordinates have difference of 18. 18/2 is 9.", "session_id": 15029, "sequence_id": 108, "annotations": []}
{"role": "volunteer", "content": "I'm not talking about x", "session_id": 15029, "sequence_id": 109, "annotations": []}
{"role": "student", "content": "right", "session_id": 15029, "sequence_id": 110, "annotations": []}
{"role": "volunteer", "content": "I'm talking about y", "session_id": 15029, "sequence_id": 111, "annotations": []}
{"role": "volunteer", "content": "up/down", "session_id": 15029, "sequence_id": 112, "annotations": []}
{"role": "volunteer", "content": "how far up from B to B' ?", "session_id": 15029, "sequence_id": 113, "annotations": []}
{"role": "student", "content": "6", "session_id": 15029, "sequence_id": 114, "annotations": []}
{"role": "volunteer", "content": "divide by 2", "session_id": 15029, "sequence_id": 115, "annotations": []}
{"role": "student", "content": "3", "session_id": 15029, "sequence_id": 116, "annotations": []}
{"role": "volunteer", "content": "you need to go up 3 lines from B", "session_id": 15029, "sequence_id": 117, "annotations": []}
{"role": "volunteer", "content": "and 9 to the right, like you did", "session_id": 15029, "sequence_id": 118, "annotations": []}
{"role": "student", "content": "okay", "session_id": 15029, "sequence_id": 119, "annotations": []}
{"role": "volunteer", "content": "you have to go halfway between the points for both x AND y", "session_id": 15029, "sequence_id": 120, "annotations": []}
{"role": "volunteer", "content": "do you understand, now?", "session_id": 15029, "sequence_id": 121, "annotations": []}
{"role": "student", "content": "no", "session_id": 15029, "sequence_id": 122, "annotations": []}
{"role": "student", "content": "i do", "session_id": 15029, "sequence_id": 123, "annotations": []}
{"role": "student", "content": "but the graphing no", "session_id": 15029, "sequence_id": 124, "annotations": []}
{"role": "volunteer", "content": "start at B", "session_id": 15029, "sequence_id": 125, "annotations": []}
{"role": "volunteer", "content": "count 9 lines to the right, 3 lines up, pick that point", "session_id": 15029, "sequence_id": 126, "annotations": []}
{"role": "student", "content": "i got that", "session_id": 15029, "sequence_id": 127, "annotations": []}
{"role": "volunteer", "content": "now the bottom point is right, the top one is wrong", "session_id": 15029, "sequence_id": 128, "annotations": []}
{"role": "volunteer", "content": "y is OK, x is wrong", "session_id": 15029, "sequence_id": 129, "annotations": []}
{"role": "volunteer", "content": "how far to the left from C to C' ?", "session_id": 15029, "sequence_id": 130, "annotations": []}
{"role": "student", "content": "12", "session_id": 15029, "sequence_id": 131, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 15029, "sequence_id": 132, "annotations": []}
{"role": "volunteer", "content": "/2", "session_id": 15029, "sequence_id": 133, "annotations": []}
{"role": "student", "content": "6", "session_id": 15029, "sequence_id": 134, "annotations": []}
{"role": "volunteer", "content": "and how far to the right did you go from C?", "session_id": 15029, "sequence_id": 135, "annotations": []}
{"role": "student", "content": "6", "session_id": 15029, "sequence_id": 136, "annotations": []}
{"role": "volunteer", "content": "count again", "session_id": 15029, "sequence_id": 137, "annotations": []}
{"role": "student", "content": "ohh 8", "session_id": 15029, "sequence_id": 138, "annotations": []}
{"role": "volunteer", "content": "actually, 7", "session_id": 15029, "sequence_id": 139, "annotations": []}
{"role": "volunteer", "content": "don't count that first dot", "session_id": 15029, "sequence_id": 140, "annotations": []}
{"role": "volunteer", "content": "that one lines up with C", "session_id": 15029, "sequence_id": 141, "annotations": []}
{"role": "student", "content": "oh", "session_id": 15029, "sequence_id": 142, "annotations": []}
{"role": "volunteer", "content": "only supposed to go 6, but you went 7", "session_id": 15029, "sequence_id": 143, "annotations": []}
{"role": "student", "content": "so go back one", "session_id": 15029, "sequence_id": 144, "annotations": []}
{"role": "volunteer", "content": "yeah", "session_id": 15029, "sequence_id": 145, "annotations": []}
{"role": "volunteer", "content": "keep y the same", "session_id": 15029, "sequence_id": 146, "annotations": []}
{"role": "student", "content": "ok tahnk you its rihg", "session_id": 15029, "sequence_id": 147, "annotations": []}
{"role": "volunteer", "content": "my blue dot", "session_id": 15029, "sequence_id": 148, "annotations": []}
{"role": "student", "content": "right*", "session_id": 15029, "sequence_id": 149, "annotations": []}
{"role": "volunteer", "content": "just remember to go halfway and halfway", "session_id": 15029, "sequence_id": 150, "annotations": []}
{"role": "volunteer", "content": "and count carefully", "session_id": 15029, "sequence_id": 151, "annotations": []}
{"role": "student", "content": "so it has to be the same", "session_id": 15029, "sequence_id": 152, "annotations": []}
{"role": "volunteer", "content": "same halfway point for both x- and y-coordinates", "session_id": 15029, "sequence_id": 153, "annotations": []}
{"role": "student", "content": "okay okay", "session_id": 15029, "sequence_id": 154, "annotations": []}
{"role": "student", "content": "thanks", "session_id": 15029, "sequence_id": 155, "annotations": []}
{"role": "volunteer", "content": "yw", "session_id": 15029, "sequence_id": 156, "annotations": []}
{"role": "volunteer", "content": "bye", "session_id": 15029, "sequence_id": 157, "annotations": []}
{"role": "student", "content": "bye", "session_id": 15029, "sequence_id": 158, "annotations": []}
{"role": "student", "content": "hi", "session_id": 15046, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "Hi! What can I help you with today?", "session_id": 15046, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "What is 4*5", "session_id": 15046, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "Help please", "session_id": 15046, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "Unfortunately I cannot solve it for you, but I can help you rephrase the question so that it is a bit easier to understand", "session_id": 15046, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "4*5 is the same as 4 multiplied by 5", "session_id": 15046, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "Is it 20?", "session_id": 15046, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "Yes!", "session_id": 15046, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "Okay what about 56x+66=800", "session_id": 15046, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "So for problems like these, the first step is to isolate the x variable", "session_id": 15046, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "Can you write the question on the board please my writing is messy", "session_id": 15046, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "Is this right?", "session_id": 15046, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "You are on the right track! but when I divided 734 by 56 I got a slightly different answer to yours", "session_id": 15046, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "Is this right now?", "session_id": 15046, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "Yes, you got it!", "session_id": 15046, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "Thanks", "session_id": 15046, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "Do you have any other questions?", "session_id": 15046, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "I have two more questions", "session_id": 15046, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "Ok!", "session_id": 15046, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "37x+86=450", "session_id": 15046, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "So same thing as the last question, the first step would be to isolate the x variable. I can help you write it on the board", "session_id": 15046, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "Okay", "session_id": 15046, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "Is this right?", "session_id": 15046, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "You were on the right track, but I got a different answer than you when I divided 364 by 37", "session_id": 15046, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "Is this right now?", "session_id": 15046, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "Yes!", "session_id": 15046, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "Should we move on to the next question?", "session_id": 15046, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "Actually I have two more questions", "session_id": 15046, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "Okay, no problem!", "session_id": 15046, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "78+856+345", "session_id": 15046, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "How do I do this", "session_id": 15046, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "So this question is a bit different from the other one. We can take it one step at a time", "session_id": 15046, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "you can add 78 + 856 first", "session_id": 15046, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "get the new answer then add 345", "session_id": 15046, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "Is this right?", "session_id": 15046, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "You got it!", "session_id": 15046, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "Last question", "session_id": 15046, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "Ok!", "session_id": 15046, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "500+745+654+987+345+689", "session_id": 15046, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "How do I do this?", "session_id": 15046, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "With problems like these, I like to break it down so I would 500 + 745", "session_id": 15046, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "654 + 987", "session_id": 15046, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "345 + 689", "session_id": 15046, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "and then add all three answers together", "session_id": 15046, "sequence_id": 43, "annotations": []}
{"role": "student", "content": "Is this right?", "session_id": 15046, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "Yes, that's the same answer I got", "session_id": 15046, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "Thank you so much", "session_id": 15046, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "You're welcome", "session_id": 15046, "sequence_id": 47, "annotations": []}
{"role": "student", "content": "I appreciate your help", "session_id": 15046, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "Have a great rest of your day", "session_id": 15046, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "Thank you!", "session_id": 15046, "sequence_id": 50, "annotations": []}
{"role": "student", "content": "Have a great rest of your day", "session_id": 15046, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "Bye", "session_id": 15046, "sequence_id": 52, "annotations": []}
{"role": "student", "content": "Hello", "session_id": 15103, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "Hi", "session_id": 15103, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "How are you?", "session_id": 15103, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "I'm fine, how are you?", "session_id": 15103, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "I'm doing well", "session_id": 15103, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "Just a min", "session_id": 15103, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "Ok so are you familiar with what domain  and range is", "session_id": 15103, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "or should we go with a recap?", "session_id": 15103, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "sure", "session_id": 15103, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "So domain can be thought of as the input set (group of values) of a function. Basically, all those values which can be inputted into the function to get a valid (defined) output", "session_id": 15103, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "So basically to check the domain, we would just look at the x-axis to see for what values of x is f(x) defined", "session_id": 15103, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "Can you have a go at the example using this?https://mathhelper.com/question1y question 1 part A", "session_id": 15103, "sequence_id": 11, "annotations": [{"pii_type": "URL", "surrogate": "https://mathhelper.com/question1", "start": 44, "end": 76}]}
{"role": "student", "content": "yep", "session_id": 15103, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "you've made a slight mistake in part A", "session_id": 15103, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "what is it", "session_id": 15103, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "at x=5 the function is not defined so you have rightly used an open interval but what about at x=-1?", "session_id": 15103, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "oh", "session_id": 15103, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "[", "session_id": 15103, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "yeah", "session_id": 15103, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "same with your range", "session_id": 15103, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "perfecy", "session_id": 15103, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "*t", "session_id": 15103, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "you've switched up the answers", "session_id": 15103, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "wait for x intercept do u not make y = 0", "session_id": 15103, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "an x-intercept is the point where the function intersects the x-axis", "session_id": 15103, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 15103, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "look at x=3", "session_id": 15103, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "i see", "session_id": 15103, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "no that's the same mistake again", "session_id": 15103, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "ok look at x=3", "session_id": 15103, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "so what axis do you see it intersecting", "session_id": 15103, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "what do you do to find x-intercept", "session_id": 15103, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "set y = 0?", "session_id": 15103, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 15103, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "and to find y intercept set x = 0", "session_id": 15103, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 15103, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "i understand it now", "session_id": 15103, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "yeah, perfect", "session_id": 15103, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "Any other questions?", "session_id": 15103, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "yerp", "session_id": 15103, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "ok yeah i can see it now", "session_id": 15103, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "zeroes is the same as x intercept right coach?", "session_id": 15103, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "yeah", "session_id": 15103, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "find zeros make y = 0", "session_id": 15103, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 15103, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "L math", "session_id": 15103, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "\ud83d\udc4d", "session_id": 15103, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "do you just say x = 20/3 or", "session_id": 15103, "sequence_id": 47, "annotations": []}
{"role": "student", "content": "(20/3, 0)", "session_id": 15103, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "both are correct, but I'd recommend the second one", "session_id": 15103, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "alright what about y-intercept", "session_id": 15103, "sequence_id": 50, "annotations": []}
{"role": "student", "content": "one sec", "session_id": 15103, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "so y intercept set x = 0", "session_id": 15103, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 15103, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "excellent", "session_id": 15103, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "have a go at the second one", "session_id": 15103, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "yup", "session_id": 15103, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "last one", "session_id": 15103, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "you forgot to divide the 2 when solving for x", "session_id": 15103, "sequence_id": 58, "annotations": []}
{"role": "student", "content": "um", "session_id": 15103, "sequence_id": 59, "annotations": []}
{"role": "student", "content": "whoops", "session_id": 15103, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "the rest is corredct", "session_id": 15103, "sequence_id": 61, "annotations": []}
{"role": "student", "content": "so umm", "session_id": 15103, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "one min", "session_id": 15103, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "Alright so go ahead, I'll check", "session_id": 15103, "sequence_id": 64, "annotations": []}
{"role": "student", "content": "um", "session_id": 15103, "sequence_id": 65, "annotations": []}
{"role": "student", "content": "i dont rly know this ngl", "session_id": 15103, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "ok Ill help you out", "session_id": 15103, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "so if the function is symmetric about the x-axis, then for every value of x, I should have two values of y", "session_id": 15103, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "y and -y", "session_id": 15103, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "right?", "session_id": 15103, "sequence_id": 70, "annotations": []}
{"role": "student", "content": "so a parabola", "session_id": 15103, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "not necessarily, look at the first graph itself", "session_id": 15103, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "its symmetric, but isnt a parabola", "session_id": 15103, "sequence_id": 73, "annotations": []}
{"role": "student", "content": "hmm", "session_id": 15103, "sequence_id": 74, "annotations": []}
{"role": "volunteer", "content": "so basically I can say that f(x) = y = -y", "session_id": 15103, "sequence_id": 75, "annotations": []}
{"role": "student", "content": "so what would i call dat", "session_id": 15103, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "that would be your algebraic test", "session_id": 15103, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "basically you can replace all the y's in the equation with -y's and the equation would remain the same", "session_id": 15103, "sequence_id": 78, "annotations": []}
{"role": "student", "content": "so the other one is f(x) = x = -x", "session_id": 15103, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "no not exactly, just a min, we'll come to the second one just make a note in the first", "session_id": 15103, "sequence_id": 80, "annotations": []}
{"role": "volunteer", "content": "you can't call this a function, so I would avoid writing f(x)", "session_id": 15103, "sequence_id": 81, "annotations": []}
{"role": "student", "content": "why cant u call it a function", "session_id": 15103, "sequence_id": 82, "annotations": []}
{"role": "student", "content": "isnt that just a prabola", "session_id": 15103, "sequence_id": 83, "annotations": []}
{"role": "volunteer", "content": "the definition of a function is that for each value of x there can only be one value of y, if you are familiar with mapping and the concepts of sets, I could make it clearer but otherwise we can ignore that for now", "session_id": 15103, "sequence_id": 84, "annotations": []}
{"role": "volunteer", "content": "just remember, if you see one x value giving you more than one y-value, the graph isnt a function", "session_id": 15103, "sequence_id": 85, "annotations": []}
{"role": "volunteer", "content": "So a rather better way of phrasing the algebraic test is y and -y give same value of x, or that the rq remains the same", "session_id": 15103, "sequence_id": 86, "annotations": []}
{"role": "volunteer", "content": "if you are familiar with the modulus function, you can identify graph 1 too(as an extra)", "session_id": 15103, "sequence_id": 87, "annotations": []}
{"role": "volunteer", "content": "ok getting back to point, any questions in the algebraic test?", "session_id": 15103, "sequence_id": 88, "annotations": []}
{"role": "student", "content": "how do i confirm algebriaclly", "session_id": 15103, "sequence_id": 89, "annotations": []}
{"role": "volunteer", "content": "replacing y with -y in the equation of the graph does not change the equation", "session_id": 15103, "sequence_id": 90, "annotations": []}
{"role": "volunteer", "content": "Now we can move on to the second graph", "session_id": 15103, "sequence_id": 91, "annotations": []}
{"role": "volunteer", "content": "You there?", "session_id": 15103, "sequence_id": 92, "annotations": []}
{"role": "volunteer", "content": "Any questions?", "session_id": 15103, "sequence_id": 93, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 15103, "sequence_id": 94, "annotations": []}
{"role": "student", "content": "just kinda lost", "session_id": 15103, "sequence_id": 95, "annotations": []}
{"role": "volunteer", "content": "alright let's get back on track then", "session_id": 15103, "sequence_id": 96, "annotations": []}
{"role": "volunteer", "content": "so we need to algebraically prove that a graph is symmetrical about the x-axis", "session_id": 15103, "sequence_id": 97, "annotations": []}
{"role": "volunteer", "content": "so you will be provided with an equation and/or a graph of the equation", "session_id": 15103, "sequence_id": 98, "annotations": []}
{"role": "volunteer", "content": "like in example 5", "session_id": 15103, "sequence_id": 99, "annotations": []}
{"role": "student", "content": "wait so which model is x-axis", "session_id": 15103, "sequence_id": 100, "annotations": []}
{"role": "student", "content": "the 1st one?", "session_id": 15103, "sequence_id": 101, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 15103, "sequence_id": 102, "annotations": []}
{"role": "volunteer", "content": "model 1 is symmetry about the x-axis", "session_id": 15103, "sequence_id": 103, "annotations": []}
{"role": "student", "content": "ok so when it says confirm algebrically i have to put an equation right?", "session_id": 15103, "sequence_id": 104, "annotations": []}
{"role": "volunteer", "content": "you have to use the equation given to you and perform the test that we mention there", "session_id": 15103, "sequence_id": 105, "annotations": []}
{"role": "student", "content": "or input the equation ig", "session_id": 15103, "sequence_id": 106, "annotations": []}
{"role": "volunteer", "content": "the test will tell you if its symmetrical or not", "session_id": 15103, "sequence_id": 107, "annotations": []}
{"role": "volunteer", "content": "do you get it", "session_id": 15103, "sequence_id": 108, "annotations": []}
{"role": "volunteer", "content": "so in the case of symmetry about x", "session_id": 15103, "sequence_id": 109, "annotations": []}
{"role": "volunteer", "content": "for each value of x you should have 2 y values", "session_id": 15103, "sequence_id": 110, "annotations": []}
{"role": "volunteer", "content": "one as y and other as -y", "session_id": 15103, "sequence_id": 111, "annotations": []}
{"role": "volunteer", "content": "so we substitute y and -y in the equation given to us, and we should get the same equation", "session_id": 15103, "sequence_id": 112, "annotations": []}
{"role": "volunteer", "content": "if you still don't understand feel free to ask", "session_id": 15103, "sequence_id": 113, "annotations": []}
{"role": "volunteer", "content": "i think an example would clear it up well though", "session_id": 15103, "sequence_id": 114, "annotations": []}
{"role": "student", "content": "ok", "session_id": 15103, "sequence_id": 115, "annotations": []}
{"role": "student", "content": "so", "session_id": 15103, "sequence_id": 116, "annotations": []}
{"role": "student", "content": "i think doing rexamples would prob help", "session_id": 15103, "sequence_id": 117, "annotations": []}
{"role": "volunteer", "content": "yeah, let me explain the three models and then try the examples, it'll make it clear", "session_id": 15103, "sequence_id": 118, "annotations": []}
{"role": "volunteer", "content": "so in the second case, if for each y-value we have two x values -> x,-x then we can substitute -x in the equation and we should get the same eq", "session_id": 15103, "sequence_id": 119, "annotations": []}
{"role": "volunteer", "content": "now in the last case, for every (x,y) there is a (-x,-y) on the graph, so we can substitute -x and -y in the equation to get the same eq", "session_id": 15103, "sequence_id": 120, "annotations": []}
{"role": "volunteer", "content": "Now let's get going on example 5 you should have a better understanding", "session_id": 15103, "sequence_id": 121, "annotations": []}
{"role": "student", "content": "erm", "session_id": 15103, "sequence_id": 122, "annotations": []}
{"role": "volunteer", "content": "yeah you were correct", "session_id": 15103, "sequence_id": 123, "annotations": []}
{"role": "volunteer", "content": "that was correct", "session_id": 15103, "sequence_id": 124, "annotations": []}
{"role": "student", "content": "but like", "session_id": 15103, "sequence_id": 125, "annotations": []}
{"role": "student", "content": "so xy = -6", "session_id": 15103, "sequence_id": 126, "annotations": []}
{"role": "student", "content": "if i made them both negaitve", "session_id": 15103, "sequence_id": 127, "annotations": []}
{"role": "student", "content": "what would the difference be", "session_id": 15103, "sequence_id": 128, "annotations": []}
{"role": "student", "content": "wait", "session_id": 15103, "sequence_id": 129, "annotations": []}
{"role": "student", "content": "so lets say x = 5", "session_id": 15103, "sequence_id": 130, "annotations": []}
{"role": "student", "content": "y = -6", "session_id": 15103, "sequence_id": 131, "annotations": []}
{"role": "student", "content": "xy = -30", "session_id": 15103, "sequence_id": 132, "annotations": []}
{"role": "student", "content": "make them both negative", "session_id": 15103, "sequence_id": 133, "annotations": []}
{"role": "student", "content": "-5x6", "session_id": 15103, "sequence_id": 134, "annotations": []}
{"role": "student", "content": "-30", "session_id": 15103, "sequence_id": 135, "annotations": []}
{"role": "volunteer", "content": "it won't make a difference, that's the point", "session_id": 15103, "sequence_id": 136, "annotations": []}
{"role": "volunteer", "content": "the equation remains the same", "session_id": 15103, "sequence_id": 137, "annotations": []}
{"role": "volunteer", "content": "which means that the equation is symmetric about the origin", "session_id": 15103, "sequence_id": 138, "annotations": []}
{"role": "student", "content": "ok so how would it be wrong algebreically", "session_id": 15103, "sequence_id": 139, "annotations": []}
{"role": "volunteer", "content": "say i have a function y=x+3", "session_id": 15103, "sequence_id": 140, "annotations": []}
{"role": "volunteer", "content": "replacing y  with -y and x with -x", "session_id": 15103, "sequence_id": 141, "annotations": []}
{"role": "volunteer", "content": "-y = -x+3", "session_id": 15103, "sequence_id": 142, "annotations": []}
{"role": "volunteer", "content": "or y=x-3", "session_id": 15103, "sequence_id": 143, "annotations": []}
{"role": "volunteer", "content": "which isn't the same function", "session_id": 15103, "sequence_id": 144, "annotations": []}
{"role": "student", "content": "hmm", "session_id": 15103, "sequence_id": 145, "annotations": []}
{"role": "volunteer", "content": "so the function is not symmetrical about the origin", "session_id": 15103, "sequence_id": 146, "annotations": []}
{"role": "student", "content": "u know i learned this but thankfully", "session_id": 15103, "sequence_id": 147, "annotations": []}
{"role": "student", "content": "it wasnt on my quiz", "session_id": 15103, "sequence_id": 148, "annotations": []}
{"role": "student", "content": "so maybe it wont be on test :)", "session_id": 15103, "sequence_id": 149, "annotations": []}
{"role": "volunteer", "content": "it's not too hard though, you're doing a good job", "session_id": 15103, "sequence_id": 150, "annotations": []}
{"role": "student", "content": "i mean horribly but close enough", "session_id": 15103, "sequence_id": 151, "annotations": []}
{"role": "volunteer", "content": "don't worry about your test, you have a good understanding", "session_id": 15103, "sequence_id": 152, "annotations": []}
{"role": "volunteer", "content": "these topics take a bit of time and practice to digest", "session_id": 15103, "sequence_id": 153, "annotations": []}
{"role": "volunteer", "content": "so can you try the second one and we can wrap up for today", "session_id": 15103, "sequence_id": 154, "annotations": []}
{"role": "volunteer", "content": "I have to leave a bit urgently", "session_id": 15103, "sequence_id": 155, "annotations": []}
{"role": "student", "content": "oh", "session_id": 15103, "sequence_id": 156, "annotations": []}
{"role": "student", "content": "same thing", "session_id": 15103, "sequence_id": 157, "annotations": []}
{"role": "student", "content": "so its symmetrical cause its the same", "session_id": 15103, "sequence_id": 158, "annotations": []}
{"role": "volunteer", "content": "but different symmetry, it isnt symmetrical about the origin", "session_id": 15103, "sequence_id": 159, "annotations": []}
{"role": "volunteer", "content": "look at the graph", "session_id": 15103, "sequence_id": 160, "annotations": []}
{"role": "student", "content": "i thought u replace x with -x", "session_id": 15103, "sequence_id": 161, "annotations": []}
{"role": "volunteer", "content": "what axis is the function symmetric about", "session_id": 15103, "sequence_id": 162, "annotations": []}
{"role": "volunteer", "content": "yeah that's correct", "session_id": 15103, "sequence_id": 163, "annotations": []}
{"role": "student", "content": "oh to the y axis", "session_id": 15103, "sequence_id": 164, "annotations": []}
{"role": "volunteer", "content": "yeah I just meant here we won't replace y with -y because we're checking for symmetry about y axis", "session_id": 15103, "sequence_id": 165, "annotations": []}
{"role": "volunteer", "content": "anyways yes, y = x^2+2 remains the same for x and -x", "session_id": 15103, "sequence_id": 166, "annotations": []}
{"role": "volunteer", "content": "so it's symmetrical", "session_id": 15103, "sequence_id": 167, "annotations": []}
{"role": "volunteer", "content": "about y axis", "session_id": 15103, "sequence_id": 168, "annotations": []}
{"role": "volunteer", "content": "any questions?", "session_id": 15103, "sequence_id": 169, "annotations": []}
{"role": "student", "content": "nah", "session_id": 15103, "sequence_id": 170, "annotations": []}
{"role": "student", "content": "so you have to leave?", "session_id": 15103, "sequence_id": 171, "annotations": []}
{"role": "volunteer", "content": "alright I'll end the session then, you did a gr8 job today, keep practiving", "session_id": 15103, "sequence_id": 172, "annotations": []}
{"role": "student", "content": "thank you", "session_id": 15103, "sequence_id": 173, "annotations": []}
{"role": "volunteer", "content": "yeah sorry about that", "session_id": 15103, "sequence_id": 174, "annotations": []}
{"role": "student", "content": "have a good night", "session_id": 15103, "sequence_id": 175, "annotations": []}
{"role": "student", "content": "or day", "session_id": 15103, "sequence_id": 176, "annotations": []}
{"role": "volunteer", "content": "same to you", "session_id": 15103, "sequence_id": 177, "annotations": []}
{"role": "student", "content": "hiii", "session_id": 15093, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "Good evening Emily", "session_id": 15093, "sequence_id": 1, "annotations": [{"pii_type": "PERSON", "surrogate": "Emily", "start": 13, "end": 18}]}
{"role": "student", "content": "can you help me for a few minutes with indepdnent and dependent quantities", "session_id": 15093, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "like story problems", "session_id": 15093, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "yes I can", "session_id": 15093, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "tyyy", "session_id": 15093, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "Do you have handout or document that we can work on", "session_id": 15093, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "nope just make up problems i guess", "session_id": 15093, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "alright", "session_id": 15093, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "so would you please define idependent and dependent quantity in your own words?", "session_id": 15093, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "indepent is what ur changing and like what doesnt depdnd on smth and its x and domain", "session_id": 15093, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "dependent is like dpeending on x and its the y and its range", "session_id": 15093, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "I understand you", "session_id": 15093, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "ok", "session_id": 15093, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "so we have 2 similar terms which are input and output. Which one is independent?", "session_id": 15093, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "input is x", "session_id": 15093, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "output is y", "session_id": 15093, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "sorry", "session_id": 15093, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "input is independent", "session_id": 15093, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "output is dependent", "session_id": 15093, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "correctttt", "session_id": 15093, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "let's see how they relate to function", "session_id": 15093, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "okay", "session_id": 15093, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "base on the diagram of function, can you please tell me why output is dependent?", "session_id": 15093, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "output is dependent because it relies on the x to go get the result", "session_id": 15093, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "idk fi that makes sense", "session_id": 15093, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "it is", "session_id": 15093, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "but in reality", "session_id": 15093, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "it depdns on x", "session_id": 15093, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "so what is the role of function f(x)?", "session_id": 15093, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "thats function notation", "session_id": 15093, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "so nothing really", "session_id": 15093, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "but", "session_id": 15093, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "its like", "session_id": 15093, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "the variable ig", "session_id": 15093, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "idk how to explain it", "session_id": 15093, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "hint: using the verb transform", "session_id": 15093, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "Maya idk tbh", "session_id": 15093, "sequence_id": 37, "annotations": [{"pii_type": "PERSON", "surrogate": "Maya", "start": 0, "end": 4}]}
{"role": "volunteer", "content": "so we have the independent input x value. using the function f(x), we can transform that x value into dependent y value", "session_id": 15093, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "for example", "session_id": 15093, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "I get 2 bucks everyday from selling items. After 2 days, I gain 4 bucks.", "session_id": 15093, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "days is independent", "session_id": 15093, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "amount of money is dependent", "session_id": 15093, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "bc how much u have", "session_id": 15093, "sequence_id": 43, "annotations": []}
{"role": "student", "content": "epends on how long u have spent getting it", "session_id": 15093, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "correcttt", "session_id": 15093, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "good reasoning", "session_id": 15093, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "", "session_id": 15093, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "so number 2 in the last sentence is depedent or independent", "session_id": 15093, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "?", "session_id": 15093, "sequence_id": 49, "annotations": []}
{"role": "student", "content": "where", "session_id": 15093, "sequence_id": 50, "annotations": []}
{"role": "student", "content": "independent", "session_id": 15093, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "bc its days", "session_id": 15093, "sequence_id": 52, "annotations": []}
{"role": "student", "content": "and days are independent", "session_id": 15093, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "correct", "session_id": 15093, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "you are smartty", "session_id": 15093, "sequence_id": 55, "annotations": []}
{"role": "student", "content": "bc they are depended on by the money", "session_id": 15093, "sequence_id": 56, "annotations": []}
{"role": "student", "content": "", "session_id": 15093, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "so for formula", "session_id": 15093, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "area = base times height", "session_id": 15093, "sequence_id": 59, "annotations": []}
{"role": "student", "content": "yes", "session_id": 15093, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "which are independent and which is dependent?", "session_id": 15093, "sequence_id": 61, "annotations": []}
{"role": "student", "content": "so for the parallelogram", "session_id": 15093, "sequence_id": 62, "annotations": []}
{"role": "student", "content": "it would be", "session_id": 15093, "sequence_id": 63, "annotations": []}
{"role": "student", "content": "base is indepentent", "session_id": 15093, "sequence_id": 64, "annotations": []}
{"role": "student", "content": "and area is dependent", "session_id": 15093, "sequence_id": 65, "annotations": []}
{"role": "student", "content": "oh sorry", "session_id": 15093, "sequence_id": 66, "annotations": []}
{"role": "student", "content": "nd height is also indepentent", "session_id": 15093, "sequence_id": 67, "annotations": []}
{"role": "student", "content": "bc the area depends on them", "session_id": 15093, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "that's truee", "session_id": 15093, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "do you want a harder question?", "session_id": 15093, "sequence_id": 70, "annotations": []}
{"role": "student", "content": "ye", "session_id": 15093, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "which subject do you like", "session_id": 15093, "sequence_id": 72, "annotations": []}
{"role": "student", "content": "idm", "session_id": 15093, "sequence_id": 73, "annotations": []}
{"role": "student", "content": "anythign tbh", "session_id": 15093, "sequence_id": 74, "annotations": []}
{"role": "volunteer", "content": "alright", "session_id": 15093, "sequence_id": 75, "annotations": []}
{"role": "student", "content": "r u here still", "session_id": 15093, "sequence_id": 76, "annotations": []}
{"role": "student", "content": "ok", "session_id": 15093, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 15093, "sequence_id": 78, "annotations": []}
{"role": "student", "content": "ok", "session_id": 15093, "sequence_id": 79, "annotations": []}
{"role": "student", "content": "hmm", "session_id": 15093, "sequence_id": 80, "annotations": []}
{"role": "volunteer", "content": "for chemistry, each carbon atom has 6 valence electrons, each x atom have 1 valence electron. two x atoms and one oxygen atom in total make an water molecule. Which is independent and which is dependent?", "session_id": 15093, "sequence_id": 81, "annotations": []}
{"role": "volunteer", "content": "there are 2 ways to solve", "session_id": 15093, "sequence_id": 82, "annotations": []}
{"role": "student", "content": "ok uhh", "session_id": 15093, "sequence_id": 83, "annotations": []}
{"role": "student", "content": "idk what that is to be honest", "session_id": 15093, "sequence_id": 84, "annotations": []}
{"role": "student", "content": "so i couldnt answer becasuse i dont know what those are", "session_id": 15093, "sequence_id": 85, "annotations": []}
{"role": "student", "content": "can u change it to be about something diffetent", "session_id": 15093, "sequence_id": 86, "annotations": []}
{"role": "volunteer", "content": "alright", "session_id": 15093, "sequence_id": 87, "annotations": []}
{"role": "volunteer", "content": "you make 2 projects in a semester. Each of your friends makes 1 project in a semester. total amount of projects by you and your friends in this semester are 6. Which one is independent, which is dependent quantity?", "session_id": 15093, "sequence_id": 88, "annotations": []}
{"role": "volunteer", "content": "there are many ways to describe", "session_id": 15093, "sequence_id": 89, "annotations": []}
{"role": "student", "content": "is independent", "session_id": 15093, "sequence_id": 90, "annotations": []}
{"role": "student", "content": "how many people", "session_id": 15093, "sequence_id": 91, "annotations": []}
{"role": "student", "content": "and dependent is projects made", "session_id": 15093, "sequence_id": 92, "annotations": []}
{"role": "volunteer", "content": "corrects", "session_id": 15093, "sequence_id": 93, "annotations": []}
{"role": "student", "content": "okay", "session_id": 15093, "sequence_id": 94, "annotations": []}
{"role": "volunteer", "content": "can you find another relationship?", "session_id": 15093, "sequence_id": 95, "annotations": []}
{"role": "student", "content": "not really tbh", "session_id": 15093, "sequence_id": 96, "annotations": []}
{"role": "volunteer", "content": "think that your number of project can be change", "session_id": 15093, "sequence_id": 97, "annotations": []}
{"role": "student", "content": "eh dw", "session_id": 15093, "sequence_id": 98, "annotations": []}
{"role": "student", "content": "can we just do another situation", "session_id": 15093, "sequence_id": 99, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 15093, "sequence_id": 100, "annotations": []}
{"role": "volunteer", "content": "for the first formula, which is independent?", "session_id": 15093, "sequence_id": 101, "annotations": []}
{"role": "student", "content": "the volume depends on. ", "session_id": 15093, "sequence_id": 102, "annotations": []}
{"role": "student", "content": "oh", "session_id": 15093, "sequence_id": 103, "annotations": []}
{"role": "student", "content": "the minutes", "session_id": 15093, "sequence_id": 104, "annotations": []}
{"role": "volunteer", "content": "correct", "session_id": 15093, "sequence_id": 105, "annotations": []}
{"role": "volunteer", "content": "how about the second formula?", "session_id": 15093, "sequence_id": 106, "annotations": []}
{"role": "student", "content": "volume", "session_id": 15093, "sequence_id": 107, "annotations": []}
{"role": "volunteer", "content": "is volume independent?", "session_id": 15093, "sequence_id": 108, "annotations": []}
{"role": "student", "content": "yes in the second part", "session_id": 15093, "sequence_id": 109, "annotations": []}
{"role": "volunteer", "content": "truee", "session_id": 15093, "sequence_id": 110, "annotations": []}
{"role": "student", "content": "not in the volume problem", "session_id": 15093, "sequence_id": 111, "annotations": []}
{"role": "student", "content": "in the height proble", "session_id": 15093, "sequence_id": 112, "annotations": []}
{"role": "volunteer", "content": "so using the first formula, but in another situation: I unpredictably have a meeting and I can't track the time. When I go back, I can mearsure the volume of water. Then I calculate the time that has flown. SO in this scenario, which one is dependent?", "session_id": 15093, "sequence_id": 113, "annotations": []}
{"role": "student", "content": "time right", "session_id": 15093, "sequence_id": 114, "annotations": []}
{"role": "student", "content": "bc time depends on the measure", "session_id": 15093, "sequence_id": 115, "annotations": []}
{"role": "student", "content": "idk", "session_id": 15093, "sequence_id": 116, "annotations": []}
{"role": "volunteer", "content": "yesss", "session_id": 15093, "sequence_id": 117, "annotations": []}
{"role": "student", "content": "ok", "session_id": 15093, "sequence_id": 118, "annotations": []}
{"role": "volunteer", "content": "so at the end of the day, the independent and dependent will depend on the situation", "session_id": 15093, "sequence_id": 119, "annotations": []}
{"role": "student", "content": "can we practice increasing and decreasing functions rq", "session_id": 15093, "sequence_id": 120, "annotations": []}
{"role": "student", "content": "yesssssss", "session_id": 15093, "sequence_id": 121, "annotations": []}
{"role": "student", "content": "like for example this confused me", "session_id": 15093, "sequence_id": 122, "annotations": []}
{"role": "volunteer", "content": "what is rq?", "session_id": 15093, "sequence_id": 123, "annotations": []}
{"role": "student", "content": "really quick", "session_id": 15093, "sequence_id": 124, "annotations": []}
{"role": "student", "content": "like", "session_id": 15093, "sequence_id": 125, "annotations": []}
{"role": "student", "content": "fast", "session_id": 15093, "sequence_id": 126, "annotations": []}
{"role": "volunteer", "content": "alright", "session_id": 15093, "sequence_id": 127, "annotations": []}
{"role": "student", "content": "would that be increasing or decreasing or", "session_id": 15093, "sequence_id": 128, "annotations": []}
{"role": "volunteer", "content": "you mean increasing and decreasing slope?", "session_id": 15093, "sequence_id": 129, "annotations": []}
{"role": "student", "content": "liek increasing line decreasing line", "session_id": 15093, "sequence_id": 130, "annotations": []}
{"role": "student", "content": "like", "session_id": 15093, "sequence_id": 131, "annotations": []}
{"role": "student", "content": "do describe the graph", "session_id": 15093, "sequence_id": 132, "annotations": []}
{"role": "student", "content": "to*", "session_id": 15093, "sequence_id": 133, "annotations": []}
{"role": "volunteer", "content": "alright", "session_id": 15093, "sequence_id": 134, "annotations": []}
{"role": "student", "content": "u would say its increasing decreasing or both", "session_id": 15093, "sequence_id": 135, "annotations": []}
{"role": "volunteer", "content": "I would say it is increasing", "session_id": 15093, "sequence_id": 136, "annotations": []}
{"role": "volunteer", "content": "do you agree>", "session_id": 15093, "sequence_id": 137, "annotations": []}
{"role": "volunteer", "content": "?", "session_id": 15093, "sequence_id": 138, "annotations": []}
{"role": "student", "content": "yes", "session_id": 15093, "sequence_id": 139, "annotations": []}
{"role": "student", "content": "because its not like", "session_id": 15093, "sequence_id": 140, "annotations": []}
{"role": "volunteer", "content": "you got the visual reason", "session_id": 15093, "sequence_id": 141, "annotations": []}
{"role": "volunteer", "content": "it is correct", "session_id": 15093, "sequence_id": 142, "annotations": []}
{"role": "student", "content": "ok", "session_id": 15093, "sequence_id": 143, "annotations": []}
{"role": "student", "content": "next", "session_id": 15093, "sequence_id": 144, "annotations": []}
{"role": "student", "content": "cuz that was like", "session_id": 15093, "sequence_id": 145, "annotations": []}
{"role": "student", "content": "idek how to describe it", "session_id": 15093, "sequence_id": 146, "annotations": []}
{"role": "student", "content": "a weird function", "session_id": 15093, "sequence_id": 147, "annotations": []}
{"role": "student", "content": "def not a parabola", "session_id": 15093, "sequence_id": 148, "annotations": []}
{"role": "student", "content": "increasing then decreasing", "session_id": 15093, "sequence_id": 149, "annotations": []}
{"role": "volunteer", "content": "if you want to clarify if it is increasing or decreasing, just select the initial point and final point on the graph", "session_id": 15093, "sequence_id": 150, "annotations": []}
{"role": "student", "content": "wait huh", "session_id": 15093, "sequence_id": 151, "annotations": []}
{"role": "student", "content": "explain", "session_id": 15093, "sequence_id": 152, "annotations": []}
{"role": "student", "content": "OH", "session_id": 15093, "sequence_id": 153, "annotations": []}
{"role": "volunteer", "content": "so for some functions that have both increasing and decreasing pattern", "session_id": 15093, "sequence_id": 154, "annotations": []}
{"role": "volunteer", "content": "we need to check on which interval we are working", "session_id": 15093, "sequence_id": 155, "annotations": []}
{"role": "student", "content": "ohh", "session_id": 15093, "sequence_id": 156, "annotations": []}
{"role": "volunteer", "content": "for example in this parabolla, from point A to B is increasing pattern while on interval from B to C is decreasing pattern", "session_id": 15093, "sequence_id": 157, "annotations": []}
{"role": "student", "content": "how is this a parabola if its not symmetrical like look", "session_id": 15093, "sequence_id": 158, "annotations": []}
{"role": "student", "content": "this is a parabola", "session_id": 15093, "sequence_id": 159, "annotations": []}
{"role": "student", "content": "but", "session_id": 15093, "sequence_id": 160, "annotations": []}
{"role": "student", "content": "the one we drew isnt", "session_id": 15093, "sequence_id": 161, "annotations": []}
{"role": "student", "content": "this is the one im drawing is", "session_id": 15093, "sequence_id": 162, "annotations": []}
{"role": "student", "content": "sorry no its not", "session_id": 15093, "sequence_id": 163, "annotations": []}
{"role": "volunteer", "content": "yeah, it is quite distort", "session_id": 15093, "sequence_id": 164, "annotations": []}
{"role": "volunteer", "content": "but it is fine because you know what a parabolla is", "session_id": 15093, "sequence_id": 165, "annotations": []}
{"role": "student", "content": "is this a good example", "session_id": 15093, "sequence_id": 166, "annotations": []}
{"role": "student", "content": "f(x) = x^2", "session_id": 15093, "sequence_id": 167, "annotations": []}
{"role": "volunteer", "content": "that definitely a parabolla", "session_id": 15093, "sequence_id": 168, "annotations": []}
{"role": "student", "content": "ok", "session_id": 15093, "sequence_id": 169, "annotations": []}
{"role": "student", "content": "bc its quadratic", "session_id": 15093, "sequence_id": 170, "annotations": []}
{"role": "volunteer", "content": "so in the interval from 1 to 2, is it deacrease or increase trend?", "session_id": 15093, "sequence_id": 171, "annotations": []}
{"role": "student", "content": "i would say increase", "session_id": 15093, "sequence_id": 172, "annotations": []}
{"role": "student", "content": "if ur talking about", "session_id": 15093, "sequence_id": 173, "annotations": []}
{"role": "student", "content": "this line", "session_id": 15093, "sequence_id": 174, "annotations": []}
{"role": "volunteer", "content": "that's correct", "session_id": 15093, "sequence_id": 175, "annotations": []}
{"role": "student", "content": "okay lets try this again", "session_id": 15093, "sequence_id": 176, "annotations": []}
{"role": "volunteer", "content": "which one?", "session_id": 15093, "sequence_id": 177, "annotations": []}
{"role": "student", "content": "actually", "session_id": 15093, "sequence_id": 178, "annotations": []}
{"role": "student", "content": "lets figure out if situations are discrete or not", "session_id": 15093, "sequence_id": 179, "annotations": []}
{"role": "student", "content": "do yk what discrete is", "session_id": 15093, "sequence_id": 180, "annotations": []}
{"role": "student", "content": "its this", "session_id": 15093, "sequence_id": 181, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 15093, "sequence_id": 182, "annotations": []}
{"role": "student", "content": "no line", "session_id": 15093, "sequence_id": 183, "annotations": []}
{"role": "student", "content": "ok", "session_id": 15093, "sequence_id": 184, "annotations": []}
{"role": "volunteer", "content": "do you think it is discrete or not?", "session_id": 15093, "sequence_id": 185, "annotations": []}
{"role": "student", "content": "this yes", "session_id": 15093, "sequence_id": 186, "annotations": []}
{"role": "student", "content": "it is", "session_id": 15093, "sequence_id": 187, "annotations": []}
{"role": "student", "content": "but i need a situation or smth", "session_id": 15093, "sequence_id": 188, "annotations": []}
{"role": "student", "content": "like can u make situations", "session_id": 15093, "sequence_id": 189, "annotations": []}
{"role": "student", "content": "and i guess if theyre discrete", "session_id": 15093, "sequence_id": 190, "annotations": []}
{"role": "student", "content": "for example", "session_id": 15093, "sequence_id": 191, "annotations": []}
{"role": "student", "content": "this is continuous", "session_id": 15093, "sequence_id": 192, "annotations": []}
{"role": "volunteer", "content": "oh", "session_id": 15093, "sequence_id": 193, "annotations": []}
{"role": "volunteer", "content": "I got you", "session_id": 15093, "sequence_id": 194, "annotations": []}
{"role": "volunteer", "content": "so you count the number of drop of water when you make experiment. Then you draw a graph with time is input and number of drop is output. Is this discrete or continuous", "session_id": 15093, "sequence_id": 195, "annotations": []}
{"role": "student", "content": "discrete because", "session_id": 15093, "sequence_id": 196, "annotations": []}
{"role": "student", "content": "you cant have like", "session_id": 15093, "sequence_id": 197, "annotations": []}
{"role": "student", "content": "4.5 drops of water", "session_id": 15093, "sequence_id": 198, "annotations": []}
{"role": "volunteer", "content": "can you double check", "session_id": 15093, "sequence_id": 199, "annotations": []}
{"role": "volunteer", "content": "using graphic to visualize", "session_id": 15093, "sequence_id": 200, "annotations": []}
{"role": "student", "content": "ok", "session_id": 15093, "sequence_id": 201, "annotations": []}
{"role": "student", "content": "still discrete because", "session_id": 15093, "sequence_id": 202, "annotations": []}
{"role": "student", "content": "yes you can have 1.33222 minutes", "session_id": 15093, "sequence_id": 203, "annotations": []}
{"role": "student", "content": "but", "session_id": 15093, "sequence_id": 204, "annotations": []}
{"role": "student", "content": "you cannot have 3.5 drops", "session_id": 15093, "sequence_id": 205, "annotations": []}
{"role": "student", "content": "is that right", "session_id": 15093, "sequence_id": 206, "annotations": []}
{"role": "volunteer", "content": "wait, I need to double check myself because I think it is continuous", "session_id": 15093, "sequence_id": 207, "annotations": []}
{"role": "student", "content": "okay", "session_id": 15093, "sequence_id": 208, "annotations": []}
{"role": "student", "content": "its because the nature of drops", "session_id": 15093, "sequence_id": 209, "annotations": []}
{"role": "student", "content": "because", "session_id": 15093, "sequence_id": 210, "annotations": []}
{"role": "volunteer", "content": "oh yeah", "session_id": 15093, "sequence_id": 211, "annotations": []}
{"role": "student", "content": "can you have 2.5 drops of water", "session_id": 15093, "sequence_id": 212, "annotations": []}
{"role": "volunteer", "content": "it is discrete", "session_id": 15093, "sequence_id": 213, "annotations": []}
{"role": "student", "content": "ye", "session_id": 15093, "sequence_id": 214, "annotations": []}
{"role": "volunteer", "content": "I thought the graph would be like this", "session_id": 15093, "sequence_id": 215, "annotations": []}
{"role": "student", "content": "ohh", "session_id": 15093, "sequence_id": 216, "annotations": []}
{"role": "student", "content": "nah bc ur not measuring i dont think", "session_id": 15093, "sequence_id": 217, "annotations": []}
{"role": "student", "content": "well yes u are but", "session_id": 15093, "sequence_id": 218, "annotations": []}
{"role": "student", "content": "like", "session_id": 15093, "sequence_id": 219, "annotations": []}
{"role": "volunteer", "content": "yeah the number of drop must be positive integer so it is discrete", "session_id": 15093, "sequence_id": 220, "annotations": []}
{"role": "volunteer", "content": "lol", "session_id": 15093, "sequence_id": 221, "annotations": []}
{"role": "student", "content": "ye", "session_id": 15093, "sequence_id": 222, "annotations": []}
{"role": "volunteer", "content": "you are smart", "session_id": 15093, "sequence_id": 223, "annotations": []}
{"role": "volunteer", "content": "do you want to try another problem?", "session_id": 15093, "sequence_id": 224, "annotations": []}
{"role": "student", "content": "yes", "session_id": 15093, "sequence_id": 225, "annotations": []}
{"role": "volunteer", "content": "alright", "session_id": 15093, "sequence_id": 226, "annotations": []}
{"role": "volunteer", "content": "you are driven on freeway and the speed of the car changes many times. You create the graph with time is input and the distance you have traveled is output. Is this concrete?", "session_id": 15093, "sequence_id": 227, "annotations": []}
{"role": "student", "content": "it is not discrete", "session_id": 15093, "sequence_id": 228, "annotations": []}
{"role": "student", "content": "its continuous", "session_id": 15093, "sequence_id": 229, "annotations": []}
{"role": "student", "content": "and it looks like this", "session_id": 15093, "sequence_id": 230, "annotations": []}
{"role": "volunteer", "content": "lol did I chat concrete", "session_id": 15093, "sequence_id": 231, "annotations": []}
{"role": "volunteer", "content": "my bad", "session_id": 15093, "sequence_id": 232, "annotations": []}
{"role": "student", "content": ":pensive:", "session_id": 15093, "sequence_id": 233, "annotations": []}
{"role": "student", "content": "nws", "session_id": 15093, "sequence_id": 234, "annotations": []}
{"role": "student", "content": "okay", "session_id": 15093, "sequence_id": 235, "annotations": []}
{"role": "student", "content": "is this the right graph", "session_id": 15093, "sequence_id": 236, "annotations": []}
{"role": "student", "content": "well", "session_id": 15093, "sequence_id": 237, "annotations": []}
{"role": "student", "content": "it could lowk be linear", "session_id": 15093, "sequence_id": 238, "annotations": []}
{"role": "student", "content": "exponential", "session_id": 15093, "sequence_id": 239, "annotations": []}
{"role": "student", "content": "quadratic", "session_id": 15093, "sequence_id": 240, "annotations": []}
{"role": "student", "content": "etc", "session_id": 15093, "sequence_id": 241, "annotations": []}
{"role": "student", "content": "bc ur speed isnt necessarily constan", "session_id": 15093, "sequence_id": 242, "annotations": []}
{"role": "student", "content": "constant", "session_id": 15093, "sequence_id": 243, "annotations": []}
{"role": "student", "content": "well not quadratic", "session_id": 15093, "sequence_id": 244, "annotations": []}
{"role": "student", "content": "bc ur speed wouldnt decrease", "session_id": 15093, "sequence_id": 245, "annotations": []}
{"role": "student", "content": "well wait", "session_id": 15093, "sequence_id": 246, "annotations": []}
{"role": "student", "content": "is distance or speed y", "session_id": 15093, "sequence_id": 247, "annotations": []}
{"role": "student", "content": "it depends", "session_id": 15093, "sequence_id": 248, "annotations": []}
{"role": "student", "content": "bc ur speed can change", "session_id": 15093, "sequence_id": 249, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 15093, "sequence_id": 250, "annotations": []}
{"role": "student", "content": "ur distance cant", "session_id": 15093, "sequence_id": 251, "annotations": []}
{"role": "volunteer", "content": "just draw a random scenario", "session_id": 15093, "sequence_id": 252, "annotations": []}
{"role": "student", "content": "idk if this is speed or not tho", "session_id": 15093, "sequence_id": 253, "annotations": []}
{"role": "student", "content": "bc", "session_id": 15093, "sequence_id": 254, "annotations": []}
{"role": "student", "content": "if this is not speed", "session_id": 15093, "sequence_id": 255, "annotations": []}
{"role": "student", "content": "then i have to change the grapg", "session_id": 15093, "sequence_id": 256, "annotations": []}
{"role": "student", "content": "graph", "session_id": 15093, "sequence_id": 257, "annotations": []}
{"role": "volunteer", "content": "to remind you, input is time and output is distance traveled", "session_id": 15093, "sequence_id": 258, "annotations": []}
{"role": "student", "content": "ohhhhh", "session_id": 15093, "sequence_id": 259, "annotations": []}
{"role": "student", "content": "okay then this is the graph most likely", "session_id": 15093, "sequence_id": 260, "annotations": []}
{"role": "volunteer", "content": "yeah, it can look like that", "session_id": 15093, "sequence_id": 261, "annotations": []}
{"role": "student", "content": "no arrow to the negative quadrants because", "session_id": 15093, "sequence_id": 262, "annotations": []}
{"role": "student", "content": "ur distance wont go negative if ur on the freeway", "session_id": 15093, "sequence_id": 263, "annotations": []}
{"role": "student", "content": "well", "session_id": 15093, "sequence_id": 264, "annotations": []}
{"role": "student", "content": "if its from where u were", "session_id": 15093, "sequence_id": 265, "annotations": []}
{"role": "student", "content": "shouldnt it actually be an absolute value function", "session_id": 15093, "sequence_id": 266, "annotations": []}
{"role": "volunteer", "content": "actually, the distance can't be negative at all time if you don't mention the direction of it", "session_id": 15093, "sequence_id": 267, "annotations": []}
{"role": "student", "content": "wait wdym", "session_id": 15093, "sequence_id": 268, "annotations": []}
{"role": "volunteer", "content": "what are you trying to show me?", "session_id": 15093, "sequence_id": 269, "annotations": []}
{"role": "student", "content": "that that example", "session_id": 15093, "sequence_id": 270, "annotations": []}
{"role": "student", "content": "should be absolute value maybe", "session_id": 15093, "sequence_id": 271, "annotations": []}
{"role": "student", "content": "idk", "session_id": 15093, "sequence_id": 272, "annotations": []}
{"role": "volunteer", "content": "think this way", "session_id": 15093, "sequence_id": 273, "annotations": []}
{"role": "volunteer", "content": "without mention the direction, you walk forward 10 metres. Then, move backward 10 metres. What is the total distance you have traveled during the progress?", "session_id": 15093, "sequence_id": 274, "annotations": []}
{"role": "student", "content": "20 meters", "session_id": 15093, "sequence_id": 275, "annotations": []}
{"role": "student", "content": "meaning", "session_id": 15093, "sequence_id": 276, "annotations": []}
{"role": "volunteer", "content": "correctttt", "session_id": 15093, "sequence_id": 277, "annotations": []}
{"role": "student", "content": "negatives dont matter here", "session_id": 15093, "sequence_id": 278, "annotations": []}
{"role": "student", "content": "but", "session_id": 15093, "sequence_id": 279, "annotations": []}
{"role": "student", "content": "linear piecewise actually", "session_id": 15093, "sequence_id": 280, "annotations": []}
{"role": "student", "content": "look", "session_id": 15093, "sequence_id": 281, "annotations": []}
{"role": "volunteer", "content": "if I give you the direction. on a number line, the positive direction is to the right. If you move forward 10 numbers and then move back 10 number. How many number have you jumped from the start to final?", "session_id": 15093, "sequence_id": 282, "annotations": []}
{"role": "student", "content": "uhh", "session_id": 15093, "sequence_id": 283, "annotations": []}
{"role": "volunteer", "content": "alright. It is quite hard to imagine.  Basically, it is physic lesson", "session_id": 15093, "sequence_id": 284, "annotations": []}
{"role": "student", "content": "20", "session_id": 15093, "sequence_id": 285, "annotations": []}
{"role": "volunteer", "content": "you don't need to worry about it right now", "session_id": 15093, "sequence_id": 286, "annotations": []}
{"role": "student", "content": "okay", "session_id": 15093, "sequence_id": 287, "annotations": []}
{"role": "student", "content": "am i doing good", "session_id": 15093, "sequence_id": 288, "annotations": []}
{"role": "volunteer", "content": "for sure ,yes", "session_id": 15093, "sequence_id": 289, "annotations": []}
{"role": "student", "content": "can we practice domain and range rq", "session_id": 15093, "sequence_id": 290, "annotations": []}
{"role": "student", "content": "like really fast", "session_id": 15093, "sequence_id": 291, "annotations": []}
{"role": "volunteer", "content": "so that's all for your quiz?", "session_id": 15093, "sequence_id": 292, "annotations": []}
{"role": "student", "content": "domain and range also on my quiz", "session_id": 15093, "sequence_id": 293, "annotations": []}
{"role": "volunteer", "content": "oh yeah, we can", "session_id": 15093, "sequence_id": 294, "annotations": []}
{"role": "student", "content": "kk", "session_id": 15093, "sequence_id": 295, "annotations": []}
{"role": "student", "content": "in inequalities btw", "session_id": 15093, "sequence_id": 296, "annotations": []}
{"role": "volunteer", "content": "so you have basic knowledge about domain and range on equation, right?", "session_id": 15093, "sequence_id": 297, "annotations": []}
{"role": "student", "content": "ineaulity like < yes", "session_id": 15093, "sequence_id": 298, "annotations": []}
{"role": "student", "content": "inequality*", "session_id": 15093, "sequence_id": 299, "annotations": []}
{"role": "volunteer", "content": "do you want me to give some question to test you like we have done or something else?", "session_id": 15093, "sequence_id": 300, "annotations": []}
{"role": "student", "content": "idm", "session_id": 15093, "sequence_id": 301, "annotations": []}
{"role": "student", "content": "i dont care either way", "session_id": 15093, "sequence_id": 302, "annotations": []}
{"role": "volunteer", "content": "so what is domain and range for this one?", "session_id": 15093, "sequence_id": 303, "annotations": []}
{"role": "student", "content": "uhh", "session_id": 15093, "sequence_id": 304, "annotations": []}
{"role": "student", "content": "idk", "session_id": 15093, "sequence_id": 305, "annotations": []}
{"role": "volunteer", "content": "you don't know how to find domain or you don't familiar with square root?", "session_id": 15093, "sequence_id": 306, "annotations": []}
{"role": "student", "content": "i do know domain and range", "session_id": 15093, "sequence_id": 307, "annotations": []}
{"role": "volunteer", "content": "so you don't familiar with square root?", "session_id": 15093, "sequence_id": 308, "annotations": []}
{"role": "student", "content": "not square root no", "session_id": 15093, "sequence_id": 309, "annotations": []}
{"role": "student", "content": "but", "session_id": 15093, "sequence_id": 310, "annotations": []}
{"role": "student", "content": "y4a", "session_id": 15093, "sequence_id": 311, "annotations": []}
{"role": "volunteer", "content": "so for this one", "session_id": 15093, "sequence_id": 312, "annotations": []}
{"role": "volunteer", "content": "do you want me show how to do it?", "session_id": 15093, "sequence_id": 313, "annotations": []}
{"role": "student", "content": "yes", "session_id": 15093, "sequence_id": 314, "annotations": []}
{"role": "volunteer", "content": "wait, this can't make a function", "session_id": 15093, "sequence_id": 315, "annotations": []}
{"role": "student", "content": "wdym", "session_id": 15093, "sequence_id": 316, "annotations": []}
{"role": "volunteer", "content": "because for almost all input value x will provide 2 output value y", "session_id": 15093, "sequence_id": 317, "annotations": []}
{"role": "student", "content": "yes", "session_id": 15093, "sequence_id": 318, "annotations": []}
{"role": "student", "content": "wait we arent learning that rn", "session_id": 15093, "sequence_id": 319, "annotations": []}
{"role": "student", "content": "only like this", "session_id": 15093, "sequence_id": 320, "annotations": []}
{"role": "student", "content": "which is like", "session_id": 15093, "sequence_id": 321, "annotations": []}
{"role": "volunteer", "content": "oh I see", "session_id": 15093, "sequence_id": 322, "annotations": []}
{"role": "student", "content": "yk", "session_id": 15093, "sequence_id": 323, "annotations": []}
{"role": "volunteer", "content": "you mean they will give the graph and you will find the range and domain", "session_id": 15093, "sequence_id": 324, "annotations": []}
{"role": "volunteer", "content": "right?", "session_id": 15093, "sequence_id": 325, "annotations": []}
{"role": "student", "content": "ye", "session_id": 15093, "sequence_id": 326, "annotations": []}
{"role": "volunteer", "content": "alright", "session_id": 15093, "sequence_id": 327, "annotations": []}
{"role": "volunteer", "content": "I got it", "session_id": 15093, "sequence_id": 328, "annotations": []}
{"role": "student", "content": "ok", "session_id": 15093, "sequence_id": 329, "annotations": []}
{"role": "volunteer", "content": "what is domain and range of this graph?", "session_id": 15093, "sequence_id": 330, "annotations": []}
{"role": "student", "content": "the domain is", "session_id": 15093, "sequence_id": 331, "annotations": []}
{"role": "student", "content": "-3<x<orequalto 1", "session_id": 15093, "sequence_id": 332, "annotations": []}
{"role": "student", "content": "or", "session_id": 15093, "sequence_id": 333, "annotations": []}
{"role": "volunteer", "content": "you can type >=, I understand it", "session_id": 15093, "sequence_id": 334, "annotations": []}
{"role": "student", "content": "(-3,1]", "session_id": 15093, "sequence_id": 335, "annotations": []}
{"role": "student", "content": "okk", "session_id": 15093, "sequence_id": 336, "annotations": []}
{"role": "volunteer", "content": "correctttt", "session_id": 15093, "sequence_id": 337, "annotations": []}
{"role": "student", "content": "the range is", "session_id": 15093, "sequence_id": 338, "annotations": []}
{"role": "student", "content": "-4<=y<=0", "session_id": 15093, "sequence_id": 339, "annotations": []}
{"role": "student", "content": "or", "session_id": 15093, "sequence_id": 340, "annotations": []}
{"role": "student", "content": "[-4,0]", "session_id": 15093, "sequence_id": 341, "annotations": []}
{"role": "volunteer", "content": "that's right", "session_id": 15093, "sequence_id": 342, "annotations": []}
{"role": "volunteer", "content": "do you know about union symbol and intersect symbol?", "session_id": 15093, "sequence_id": 343, "annotations": []}
{"role": "student", "content": "nope", "session_id": 15093, "sequence_id": 344, "annotations": []}
{"role": "volunteer", "content": "I have showed the union symbol", "session_id": 15093, "sequence_id": 345, "annotations": []}
{"role": "volunteer", "content": "are you familiar with it?", "session_id": 15093, "sequence_id": 346, "annotations": []}
{"role": "student", "content": "no", "session_id": 15093, "sequence_id": 347, "annotations": []}
{"role": "volunteer", "content": "alright", "session_id": 15093, "sequence_id": 348, "annotations": []}
{"role": "volunteer", "content": "what is the domain and range of this graph? If you don't know, it is ok", "session_id": 15093, "sequence_id": 349, "annotations": []}
{"role": "student", "content": "but", "session_id": 15093, "sequence_id": 350, "annotations": []}
{"role": "student", "content": "i get the main idea", "session_id": 15093, "sequence_id": 351, "annotations": []}
{"role": "student", "content": "wait which graph", "session_id": 15093, "sequence_id": 352, "annotations": []}
{"role": "student", "content": "lemme see", "session_id": 15093, "sequence_id": 353, "annotations": []}
{"role": "student", "content": "the domain is going to be", "session_id": 15093, "sequence_id": 354, "annotations": []}
{"role": "student", "content": "-infinity <x<infinity for both", "session_id": 15093, "sequence_id": 355, "annotations": []}
{"role": "student", "content": "and the range", "session_id": 15093, "sequence_id": 356, "annotations": []}
{"role": "student", "content": "i cant tell because their maxximums and miniums are difficult to see", "session_id": 15093, "sequence_id": 357, "annotations": []}
{"role": "volunteer", "content": "actually, the domain is every real number exceipt 1", "session_id": 15093, "sequence_id": 358, "annotations": []}
{"role": "student", "content": "why", "session_id": 15093, "sequence_id": 359, "annotations": []}
{"role": "volunteer", "content": "and the range is every real number exceipt the interval (0.75, 3.75)", "session_id": 15093, "sequence_id": 360, "annotations": []}
{"role": "volunteer", "content": "because the line wont ever touch the red line (which is 1)", "session_id": 15093, "sequence_id": 361, "annotations": []}
{"role": "volunteer", "content": "I mean the function", "session_id": 15093, "sequence_id": 362, "annotations": []}
{"role": "volunteer", "content": "and it won't ever go inside that Y interval", "session_id": 15093, "sequence_id": 363, "annotations": []}
{"role": "student", "content": "um", "session_id": 15093, "sequence_id": 364, "annotations": []}
{"role": "volunteer", "content": "for example", "session_id": 15093, "sequence_id": 365, "annotations": []}
{"role": "volunteer", "content": "can you use desmos?", "session_id": 15093, "sequence_id": 366, "annotations": []}
{"role": "student", "content": "ye", "session_id": 15093, "sequence_id": 367, "annotations": []}
{"role": "volunteer", "content": "alright", "session_id": 15093, "sequence_id": 368, "annotations": []}
{"role": "volunteer", "content": "type in this function: y = 1/x", "session_id": 15093, "sequence_id": 369, "annotations": []}
{"role": "student", "content": "done", "session_id": 15093, "sequence_id": 370, "annotations": []}
{"role": "volunteer", "content": "it never touch the zero in both x axis and y axis", "session_id": 15093, "sequence_id": 371, "annotations": []}
{"role": "volunteer", "content": "right?", "session_id": 15093, "sequence_id": 372, "annotations": []}
{"role": "student", "content": "yea", "session_id": 15093, "sequence_id": 373, "annotations": []}
{"role": "volunteer", "content": "if you think it touches, zoom in", "session_id": 15093, "sequence_id": 374, "annotations": []}
{"role": "volunteer", "content": "it always have distance from the axis line", "session_id": 15093, "sequence_id": 375, "annotations": []}
{"role": "student", "content": "yh", "session_id": 15093, "sequence_id": 376, "annotations": []}
{"role": "volunteer", "content": "why is it? Because we can not divide any number by zero. Also, No number divide from 1 to get zero", "session_id": 15093, "sequence_id": 377, "annotations": []}
{"role": "volunteer", "content": "do you know why we can not divide any number by zero?", "session_id": 15093, "sequence_id": 378, "annotations": []}
{"role": "student", "content": "because you will get undefined/divide by 0 error", "session_id": 15093, "sequence_id": 379, "annotations": []}
{"role": "volunteer", "content": "can you prove it?", "session_id": 15093, "sequence_id": 380, "annotations": []}
{"role": "volunteer", "content": "prove why it is undefine?", "session_id": 15093, "sequence_id": 381, "annotations": []}
{"role": "student", "content": "oh", "session_id": 15093, "sequence_id": 382, "annotations": []}
{"role": "student", "content": "if u have 2 people", "session_id": 15093, "sequence_id": 383, "annotations": []}
{"role": "student", "content": "and 0 cookies", "session_id": 15093, "sequence_id": 384, "annotations": []}
{"role": "student", "content": "they cannot get 0 cookies", "session_id": 15093, "sequence_id": 385, "annotations": []}
{"role": "student", "content": "because there just arent any", "session_id": 15093, "sequence_id": 386, "annotations": []}
{"role": "volunteer", "content": "so in that case, no people get cooky", "session_id": 15093, "sequence_id": 387, "annotations": []}
{"role": "student", "content": "so yes they would get 0 cookies but mathematically", "session_id": 15093, "sequence_id": 388, "annotations": []}
{"role": "student", "content": "yes", "session_id": 15093, "sequence_id": 389, "annotations": []}
{"role": "volunteer", "content": "I will prove it by math calculation", "session_id": 15093, "sequence_id": 390, "annotations": []}
{"role": "volunteer", "content": "before, when we put a negative value under square root. It is undefined", "session_id": 15093, "sequence_id": 391, "annotations": []}
{"role": "volunteer", "content": "However, thanks to mathematicians, they invented a definition of the imaginary number number", "session_id": 15093, "sequence_id": 392, "annotations": []}
{"role": "volunteer", "content": "which is expressed by letter i", "session_id": 15093, "sequence_id": 393, "annotations": []}
{"role": "student", "content": "yea", "session_id": 15093, "sequence_id": 394, "annotations": []}
{"role": "volunteer", "content": "so i^2 = -1", "session_id": 15093, "sequence_id": 395, "annotations": []}
{"role": "volunteer", "content": "and square root of -1 is i", "session_id": 15093, "sequence_id": 396, "annotations": []}
{"role": "volunteer", "content": "but we haven't invented a new definition for the value that make that equation true", "session_id": 15093, "sequence_id": 397, "annotations": []}
{"role": "volunteer", "content": "so we still called it undefined", "session_id": 15093, "sequence_id": 398, "annotations": []}
{"role": "volunteer", "content": "maybe in the future. Someone smart enough that can invent a new definition, we can change the way we call it", "session_id": 15093, "sequence_id": 399, "annotations": []}
{"role": "student", "content": "Hi", "session_id": 15093, "sequence_id": 400, "annotations": []}
{"role": "student", "content": "Sorry abt my lag", "session_id": 15093, "sequence_id": 401, "annotations": []}
{"role": "volunteer", "content": "do you have any other concern", "session_id": 15093, "sequence_id": 402, "annotations": []}
{"role": "student", "content": "Am I good at this ", "session_id": 15093, "sequence_id": 403, "annotations": []}
{"role": "volunteer", "content": "yes, I think", "session_id": 15093, "sequence_id": 404, "annotations": []}
{"role": "volunteer", "content": "you should select confident next time lol", "session_id": 15093, "sequence_id": 405, "annotations": []}
{"role": "student", "content": "Hmm?", "session_id": 15093, "sequence_id": 406, "annotations": []}
{"role": "volunteer", "content": "the question John asks you before the session", "session_id": 15093, "sequence_id": 407, "annotations": [{"pii_type": "PERSON", "surrogate": "John", "start": 13, "end": 17}]}
{"role": "student", "content": "Ohh ", "session_id": 15093, "sequence_id": 408, "annotations": []}
{"role": "student", "content": "Ok", "session_id": 15093, "sequence_id": 409, "annotations": []}
{"role": "volunteer", "content": "do you have any other concern?", "session_id": 15093, "sequence_id": 410, "annotations": []}
{"role": "volunteer", "content": "or I will end the session here?", "session_id": 15093, "sequence_id": 411, "annotations": []}
{"role": "student", "content": "Sophia", "session_id": 15093, "sequence_id": 412, "annotations": [{"pii_type": "PERSON", "surrogate": "Sophia", "start": 0, "end": 6}]}
{"role": "student", "content": "Hi", "session_id": 15093, "sequence_id": 413, "annotations": []}
{"role": "student", "content": "hi", "session_id": 15221, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "Hi! How's it going?", "session_id": 15221, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "ok", "session_id": 15221, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "What can I help you with?", "session_id": 15221, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "For local maximums, you are trying to find all the points where the graph switches from increasing to decreasing and makes a ^ shape", "session_id": 15221, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "for local minimums, you are trying to find all the points where the graph switches from decreasing to increasing and makes a V shape", "session_id": 15221, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "there is a local maximum at the tip of each ^ and a local minimum at the bottom of each V", "session_id": 15221, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "I will be right back", "session_id": 15221, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "ok!", "session_id": 15221, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "I'm back", "session_id": 15221, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "Great!", "session_id": 15221, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "Did that explanation make sense?", "session_id": 15221, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "yes", "session_id": 15221, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "Ok good!", "session_id": 15221, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "Do you have any ideas where the local minimums of that graph might be?", "session_id": 15221, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "Yep!", "session_id": 15221, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "Now this question asks what the local minimum values are", "session_id": 15221, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "this means it is asking for the y-value", "session_id": 15221, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "and since these points both have the same y-value, the answer to the question should only be 1 number", "session_id": 15221, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "Do you know what the y coordinate of these local minimums is?", "session_id": 15221, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "-2", "session_id": 15221, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "Yes!", "session_id": 15221, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "Great job!", "session_id": 15221, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "Now the next question is asking where the graph has a value that is a local minimum", "session_id": 15221, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "this means it is asking for the x coordinate of the local minimums", "session_id": 15221, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "4 and 0", "session_id": 15221, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "The 1st question asks what the local minimum values are, meaning it is asking how low the graph gets at its local minimums which means it is asking for the y coordinate since that is the coordinate that determines how high/low the point is", "session_id": 15221, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "Yes!", "session_id": 15221, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "The 2nd question is asking where the graph has those y-values, which means it is asking for the x-values", "session_id": 15221, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "Those types of questions can be confusing because it is hard to tell ig they are asking for the x or y coordinate", "session_id": 15221, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "but you are correct the answer is 0 and 4!", "session_id": 15221, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "Do you need help with anything else?", "session_id": 15221, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "no", "session_id": 15221, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "Ok! should I end the session then?", "session_id": 15221, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "ok", "session_id": 15221, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "Ok! Goodbye!", "session_id": 15221, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "hi", "session_id": 15224, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "Hii how can I help", "session_id": 15224, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "OK. Um", "session_id": 15224, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "can you tell me which are the local minimums of G?", "session_id": 15224, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "Do you need help with understanding the concept?", "session_id": 15224, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "yes", "session_id": 15224, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "Would you like me to explain what a local minimum of function is.", "session_id": 15224, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "yes please", "session_id": 15224, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "OK, great. Um.", "session_id": 15224, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "OK, let me try to", "session_id": 15224, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "hm, clear it out for you. Um, if you want to find where the function has a local minimum, you have to look at the function, the lowest points in a certain um sector of the function.", "session_id": 15224, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "For example", "session_id": 15224, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "um, for G,", "session_id": 15224, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "um", "session_id": 15224, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "you have to look where the function changes from decreasing to increasing, like the valleys of the graph.", "session_id": 15224, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "Um, for G, it's -2. You know why? Because from -4 to -1, the function is decreasing and the minimum points of the function is that", "session_id": 15224, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "X equals -2.", "session_id": 15224, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "So let me just write that down.", "session_id": 15224, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "When", "session_id": 15224, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "Did you understand what I explained or", "session_id": 15224, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "would you like me to elaborate?", "session_id": 15224, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "yes", "session_id": 15224, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "Great. Now, can you find the other local minimums of dysfunction.", "session_id": 15224, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "based on this example", "session_id": 15224, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "Actually, what you just found, uh, the point that you pointed out is the local maximum of the function because at this point of the curve, the curve has its maximum value, which is coming from -5 to -2.", "session_id": 15224, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "Here it's the maximum value that minus 4 that you pointed. You need to find the point of the curve when it's the minimum, the lowest point.", "session_id": 15224, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "For example, um, X equals 0, where Y equals 3, that's also a maximum point.", "session_id": 15224, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "You should try finding the minimum point.", "session_id": 15224, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "Yes, exactly. That's another", "session_id": 15224, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "local minimum point of G.", "session_id": 15224, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "Now, the local minimum value of G is another thing.", "session_id": 15224, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "It wants you to put the local minimum value of X, the one you found is in X equals 3 and x equals minus 2.", "session_id": 15224, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "Am I seeing that right? Is it -2 or minus, yeah, -2.", "session_id": 15224, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "You put this value of X and you find the value of why in that specific point.", "session_id": 15224, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "For example, for x equals minus 2. Let me type that down.", "session_id": 15224, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "x=-2", "session_id": 15224, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "then y=-1", "session_id": 15224, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "Now, based on this example, can you find the, the other local minimum value of G.", "session_id": 15224, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "Would you like me to explain it once again?", "session_id": 15224, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "yes", "session_id": 15224, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "OK, let me try and be more specific. So you find, found the minimum values, the local minimum values of G, which were minus 2 and -3, right?", "session_id": 15224, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "These are the values of X.", "session_id": 15224, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "on the graph.", "session_id": 15224, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "A point has two coordinates. Those are X and Y.", "session_id": 15224, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "So, if a question asks all values at which G has local minimum, it wants the values of X.", "session_id": 15224, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "But when the question asked all local minimum values of G, it wants the values of y.", "session_id": 15224, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "Um", "session_id": 15224, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "so", "session_id": 15224, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "for this graph, for graph G,", "session_id": 15224, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "uh the minimum value, one of the minimum values was minus 2 and the other one was 3.", "session_id": 15224, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "So when you look at this point,", "session_id": 15224, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "this point in -2, can you say what is its Y coordinate?", "session_id": 15224, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "You should just look at the graph.", "session_id": 15224, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "and at the scale of y.", "session_id": 15224, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "and just say the corresponding coordinate.", "session_id": 15224, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "can you tell me the coordinates of the red dot", "session_id": 15224, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "do you know what coordinates mean?", "session_id": 15224, "sequence_id": 56, "annotations": []}
{"role": "student", "content": "yes", "session_id": 15224, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "okay great", "session_id": 15224, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "now find the coordinates of the red dot", "session_id": 15224, "sequence_id": 59, "annotations": []}
{"role": "student", "content": "(-2,-3)", "session_id": 15224, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "yeah that's correct", "session_id": 15224, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "that is what the question needs", "session_id": 15224, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "Now you found the coordinates for the dots, and you remember that -2 was the uh value where G has a local minimum.", "session_id": 15224, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "So you have your first answer for the first question.", "session_id": 15224, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "The other coordinates, the other dots that we found was this one.", "session_id": 15224, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "where X equals 3.", "session_id": 15224, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "Can you find the Y value of this dot as well.", "session_id": 15224, "sequence_id": 67, "annotations": []}
{"role": "student", "content": "0", "session_id": 15224, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "Yes, this is also correct. So now we've found both X's and Y coordinates of the local minimum points of the function, and that's all the question wanted.", "session_id": 15224, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "The first question asks for the X values, and the second question asks for the Y values.", "session_id": 15224, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "So you just have to type", "session_id": 15224, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "minus 2 and 3 for the first question, and minus 3 and 0 for the second question. That was it.", "session_id": 15224, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "Do you understand now?", "session_id": 15224, "sequence_id": 73, "annotations": []}
{"role": "student", "content": "yes", "session_id": 15224, "sequence_id": 74, "annotations": []}
{"role": "volunteer", "content": "okay then great job", "session_id": 15224, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "Do you have any other questions?", "session_id": 15224, "sequence_id": 76, "annotations": []}
{"role": "student", "content": "no", "session_id": 15224, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "alright", "session_id": 15224, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "HI! How can I help you?", "session_id": 15239, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "hiii", "session_id": 15239, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "I need help with 5 problems including this one", "session_id": 15239, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "sounds great! just for some background info, which theorems are you familiar with that you can use for this problem", "session_id": 15239, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "?", "session_id": 15239, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "Tangent, Sin, and Cos", "session_id": 15239, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "can you use law of sines?", "session_id": 15239, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "no", "session_id": 15239, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "hmm ok", "session_id": 15239, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "well", "session_id": 15239, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "would you like to try using it? It's very simple!", "session_id": 15239, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "sure", "session_id": 15239, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "I said no cause SINE = opposite / hypotenuse", "session_id": 15239, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "ok so basically - it is about how angles correlate with opposite sides", "session_id": 15239, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "and 8 is adjacent and x = hypotenuse", "session_id": 15239, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "wait actually you're right - we don't need law of sines?", "session_id": 15239, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "*!", "session_id": 15239, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "could you tell me what m<JKL is?", "session_id": 15239, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "58 deg", "session_id": 15239, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "close! I meant the upper angle!", "session_id": 15239, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "yk how all angles in a triangle add up 180", "session_id": 15239, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "?", "session_id": 15239, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "would it something like 90 - 58 or somthn like that to find the missing angle", "session_id": 15239, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "almost!", "session_id": 15239, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "Since there 180 degrees in a triangle", "session_id": 15239, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "wait omg I'm so sry we don't need to do that lol", "session_id": 15239, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "but just for reference the other angle would 180 - (90+58)!", "session_id": 15239, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "but anyways", "session_id": 15239, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "you know how", "session_id": 15239, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "cos is adjacent over hypotenuse?", "session_id": 15239, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "ok", "session_id": 15239, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "so we can apply that to the side", "session_id": 15239, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "do you know what cos 58 would be?", "session_id": 15239, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "in terms of x and 8?", "session_id": 15239, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "No problem if you don't - let me know!", "session_id": 15239, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "let me solve", "session_id": 15239, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "sounds good!", "session_id": 15239, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "so it would be Cos (58) = 8/x", "session_id": 15239, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "yesss", "session_id": 15239, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "do you have a calculator?", "session_id": 15239, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "because now that we do that", "session_id": 15239, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "we have to isolate x", "session_id": 15239, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "so since you have that equation - could you tell me what x is in terms of cos (58) and 8?", "session_id": 15239, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "ok hold on", "session_id": 15239, "sequence_id": 43, "annotations": []}
{"role": "student", "content": "I got this", "session_id": 15239, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "15.097", "session_id": 15239, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "yesss", "session_id": 15239, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "but also", "session_id": 15239, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "the question is asking for 2 decimal places", "session_id": 15239, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "so the number is right! but what would it be with just 2 decimal places?", "session_id": 15239, "sequence_id": 49, "annotations": []}
{"role": "student", "content": "ok hold on", "session_id": 15239, "sequence_id": 50, "annotations": []}
{"role": "student", "content": "15.10", "session_id": 15239, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "Awesome!!!!", "session_id": 15239, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "great job!!!", "session_id": 15239, "sequence_id": 53, "annotations": []}
{"role": "student", "content": "yayyy!!!", "session_id": 15239, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "do you want to move on to the next problem?", "session_id": 15239, "sequence_id": 55, "annotations": []}
{"role": "student", "content": "yes", "session_id": 15239, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "sounds great!", "session_id": 15239, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "ok I got it!", "session_id": 15239, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "so we can use the same method as before", "session_id": 15239, "sequence_id": 59, "annotations": []}
{"role": "student", "content": "ok", "session_id": 15239, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "which trig operation could we use regarding 43 degrees?", "session_id": 15239, "sequence_id": 61, "annotations": []}
{"role": "student", "content": "either tan or sin?", "session_id": 15239, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "yess", "session_id": 15239, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "which one do u want to use?", "session_id": 15239, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "either one is fine", "session_id": 15239, "sequence_id": 65, "annotations": []}
{"role": "student", "content": "idk", "session_id": 15239, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "ok well we can use tan!", "session_id": 15239, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "so that's opposite over adjacent", "session_id": 15239, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "so what would tan 43 be equal to in terms of 36 and y?", "session_id": 15239, "sequence_id": 69, "annotations": []}
{"role": "student", "content": "Tan(43) =36/y", "session_id": 15239, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "yess", "session_id": 15239, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "so what would y be equal to?", "session_id": 15239, "sequence_id": 72, "annotations": []}
{"role": "student", "content": "38.60 and rounded two decimal place is 38.6", "session_id": 15239, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "Right", "session_id": 15239, "sequence_id": 74, "annotations": []}
{"role": "volunteer", "content": "when u did ur calculation", "session_id": 15239, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "it should be 38.605", "session_id": 15239, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "so when u round the 5 up", "session_id": 15239, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "the 0 becomes one", "session_id": 15239, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "so it would be 38.61", "session_id": 15239, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "but great great job u still did it!", "session_id": 15239, "sequence_id": 80, "annotations": []}
{"role": "student", "content": "ok", "session_id": 15239, "sequence_id": 81, "annotations": []}
{"role": "volunteer", "content": "and now we can do the same for x", "session_id": 15239, "sequence_id": 82, "annotations": []}
{"role": "volunteer", "content": "we can use m<QRP which is 90 degrees", "session_id": 15239, "sequence_id": 83, "annotations": []}
{"role": "student", "content": "wait what", "session_id": 15239, "sequence_id": 84, "annotations": []}
{"role": "volunteer", "content": "or actually we can still do 43 degees", "session_id": 15239, "sequence_id": 85, "annotations": []}
{"role": "volunteer", "content": "degrees", "session_id": 15239, "sequence_id": 86, "annotations": []}
{"role": "volunteer", "content": "because we need to find x", "session_id": 15239, "sequence_id": 87, "annotations": []}
{"role": "volunteer", "content": "so since it includes x", "session_id": 15239, "sequence_id": 88, "annotations": []}
{"role": "volunteer", "content": "the hypotnuse", "session_id": 15239, "sequence_id": 89, "annotations": []}
{"role": "volunteer", "content": "that means that we can use either sin or cos", "session_id": 15239, "sequence_id": 90, "annotations": []}
{"role": "volunteer", "content": "does that make sense?", "session_id": 15239, "sequence_id": 91, "annotations": []}
{"role": "student", "content": "ok then would we do cos(43) = 38.61 /x?", "session_id": 15239, "sequence_id": 92, "annotations": []}
{"role": "volunteer", "content": "yes! However, I would suggest doing sin 43=36/x since it is more precise since you already know those values are exact", "session_id": 15239, "sequence_id": 93, "annotations": []}
{"role": "volunteer", "content": "because when rounded, the answer when it comes to dividing can be a bit off, so by using the exact numbers provided, you can ensure that the answer is more precise", "session_id": 15239, "sequence_id": 94, "annotations": []}
{"role": "student", "content": "ok", "session_id": 15239, "sequence_id": 95, "annotations": []}
{"role": "student", "content": "52.8", "session_id": 15239, "sequence_id": 96, "annotations": []}
{"role": "volunteer", "content": "yess - except remember that it wants 2 decimal places! so it would be 52.79!", "session_id": 15239, "sequence_id": 97, "annotations": []}
{"role": "volunteer", "content": "great job!!", "session_id": 15239, "sequence_id": 98, "annotations": []}
{"role": "student", "content": "oh cause when I calculated it said 52.78", "session_id": 15239, "sequence_id": 99, "annotations": []}
{"role": "volunteer", "content": "well when you calculate it fully, you have to look at the 3rd decimal since it can affect your answer", "session_id": 15239, "sequence_id": 100, "annotations": []}
{"role": "volunteer", "content": "so It was 52.786", "session_id": 15239, "sequence_id": 101, "annotations": []}
{"role": "volunteer", "content": "and since 6 means rounding up", "session_id": 15239, "sequence_id": 102, "annotations": []}
{"role": "volunteer", "content": "then the 8 goes up by 1", "session_id": 15239, "sequence_id": 103, "annotations": []}
{"role": "volunteer", "content": "so it would be 52.79", "session_id": 15239, "sequence_id": 104, "annotations": []}
{"role": "volunteer", "content": "does that make sense?", "session_id": 15239, "sequence_id": 105, "annotations": []}
{"role": "student", "content": "yes", "session_id": 15239, "sequence_id": 106, "annotations": []}
{"role": "student", "content": "so x = what again", "session_id": 15239, "sequence_id": 107, "annotations": []}
{"role": "volunteer", "content": "x=52.79", "session_id": 15239, "sequence_id": 108, "annotations": []}
{"role": "student", "content": "ok", "session_id": 15239, "sequence_id": 109, "annotations": []}
{"role": "student", "content": "and y = 38.61", "session_id": 15239, "sequence_id": 110, "annotations": []}
{"role": "volunteer", "content": "yess", "session_id": 15239, "sequence_id": 111, "annotations": []}
{"role": "student", "content": "ok", "session_id": 15239, "sequence_id": 112, "annotations": []}
{"role": "student", "content": "I can do 1 more before my computer dies", "session_id": 15239, "sequence_id": 113, "annotations": []}
{"role": "volunteer", "content": "sounds good!", "session_id": 15239, "sequence_id": 114, "annotations": []}
{"role": "volunteer", "content": "what are the following questions?", "session_id": 15239, "sequence_id": 115, "annotations": []}
{"role": "student", "content": "oops", "session_id": 15239, "sequence_id": 116, "annotations": []}
{"role": "student", "content": "lem'me get that", "session_id": 15239, "sequence_id": 117, "annotations": []}
{"role": "volunteer", "content": "dw lol", "session_id": 15239, "sequence_id": 118, "annotations": []}
{"role": "volunteer", "content": "ok so first we can figure out m<B", "session_id": 15239, "sequence_id": 119, "annotations": []}
{"role": "volunteer", "content": "do you know how to find it?", "session_id": 15239, "sequence_id": 120, "annotations": []}
{"role": "student", "content": "uuuuuuuhh nope", "session_id": 15239, "sequence_id": 121, "annotations": []}
{"role": "volunteer", "content": "well like we did before, there 180 degrees in a triangle", "session_id": 15239, "sequence_id": 122, "annotations": []}
{"role": "volunteer", "content": "since one angle is 90 and another is 75", "session_id": 15239, "sequence_id": 123, "annotations": []}
{"role": "volunteer", "content": "m<B=180 - (75+90)", "session_id": 15239, "sequence_id": 124, "annotations": []}
{"role": "student", "content": "got it", "session_id": 15239, "sequence_id": 125, "annotations": []}
{"role": "volunteer", "content": "great! do you want to move on the problem b?", "session_id": 15239, "sequence_id": 126, "annotations": []}
{"role": "student", "content": "m<B = 15 degrees", "session_id": 15239, "sequence_id": 127, "annotations": []}
{"role": "volunteer", "content": "yes!!", "session_id": 15239, "sequence_id": 128, "annotations": []}
{"role": "volunteer", "content": "wanna find bc now?", "session_id": 15239, "sequence_id": 129, "annotations": []}
{"role": "student", "content": "yea", "session_id": 15239, "sequence_id": 130, "annotations": []}
{"role": "volunteer", "content": "sounds good", "session_id": 15239, "sequence_id": 131, "annotations": []}
{"role": "volunteer", "content": "ok so we can give it a variable name", "session_id": 15239, "sequence_id": 132, "annotations": []}
{"role": "volunteer", "content": "BC=x", "session_id": 15239, "sequence_id": 133, "annotations": []}
{"role": "volunteer", "content": "now we can take the angle 75 degrees", "session_id": 15239, "sequence_id": 134, "annotations": []}
{"role": "student", "content": "ok", "session_id": 15239, "sequence_id": 135, "annotations": []}
{"role": "volunteer", "content": "and use an operation that has both its opposite and adjacent", "session_id": 15239, "sequence_id": 136, "annotations": []}
{"role": "student", "content": "Tangent", "session_id": 15239, "sequence_id": 137, "annotations": []}
{"role": "volunteer", "content": "yess", "session_id": 15239, "sequence_id": 138, "annotations": []}
{"role": "volunteer", "content": "so tan 75 = x/23!", "session_id": 15239, "sequence_id": 139, "annotations": []}
{"role": "volunteer", "content": "so what would x be?", "session_id": 15239, "sequence_id": 140, "annotations": []}
{"role": "student", "content": "x = 85.84", "session_id": 15239, "sequence_id": 141, "annotations": []}
{"role": "volunteer", "content": "yes!!!!!", "session_id": 15239, "sequence_id": 142, "annotations": []}
{"role": "volunteer", "content": "and since x=BC", "session_id": 15239, "sequence_id": 143, "annotations": []}
{"role": "volunteer", "content": "BC=85.84!!!", "session_id": 15239, "sequence_id": 144, "annotations": []}
{"role": "volunteer", "content": "now we can move on to AB", "session_id": 15239, "sequence_id": 145, "annotations": []}
{"role": "volunteer", "content": "I'll make AB=y", "session_id": 15239, "sequence_id": 146, "annotations": []}
{"role": "volunteer", "content": "so we can use 75 again", "session_id": 15239, "sequence_id": 147, "annotations": []}
{"role": "volunteer", "content": "what operation uses adjacent and hypotnuse?", "session_id": 15239, "sequence_id": 148, "annotations": []}
{"role": "student", "content": "cos", "session_id": 15239, "sequence_id": 149, "annotations": []}
{"role": "volunteer", "content": "yess", "session_id": 15239, "sequence_id": 150, "annotations": []}
{"role": "volunteer", "content": "so what would your equation be?", "session_id": 15239, "sequence_id": 151, "annotations": []}
{"role": "student", "content": "cos (75) =23/y?", "session_id": 15239, "sequence_id": 152, "annotations": []}
{"role": "volunteer", "content": "yes!!!", "session_id": 15239, "sequence_id": 153, "annotations": []}
{"role": "student", "content": "yayyy!", "session_id": 15239, "sequence_id": 154, "annotations": []}
{"role": "volunteer", "content": "so what would y be?", "session_id": 15239, "sequence_id": 155, "annotations": []}
{"role": "student", "content": "y = 88.87", "session_id": 15239, "sequence_id": 156, "annotations": []}
{"role": "volunteer", "content": "YESSSS great job!!!!", "session_id": 15239, "sequence_id": 157, "annotations": []}
{"role": "volunteer", "content": "and since y=AB", "session_id": 15239, "sequence_id": 158, "annotations": []}
{"role": "volunteer", "content": "AB=88.87", "session_id": 15239, "sequence_id": 159, "annotations": []}
{"role": "volunteer", "content": "congratulations Pat did all of them!!", "session_id": 15239, "sequence_id": 160, "annotations": [{"pii_type": "PERSON", "surrogate": "Pat", "start": 16, "end": 19}]}
{"role": "student", "content": "thank you soo much!!", "session_id": 15239, "sequence_id": 161, "annotations": []}
{"role": "volunteer", "content": "no problem I'm glad I could help!!", "session_id": 15239, "sequence_id": 162, "annotations": []}
{"role": "volunteer", "content": "make sure to charge your computer haha", "session_id": 15239, "sequence_id": 163, "annotations": []}
{"role": "student", "content": "I will!", "session_id": 15239, "sequence_id": 164, "annotations": []}
{"role": "student", "content": "byyee!!", "session_id": 15239, "sequence_id": 165, "annotations": []}
{"role": "volunteer", "content": "bye!!", "session_id": 15239, "sequence_id": 166, "annotations": []}
{"role": "volunteer", "content": "hey", "session_id": 15295, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "what do u need help with", "session_id": 15295, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "Hi! I need a bit help with this", "session_id": 15295, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 15295, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "so first of all do u know how to rewrite a negative exponent", "session_id": 15295, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "for example like 2^-1", "session_id": 15295, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "mhm", "session_id": 15295, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "so for a", "session_id": 15295, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "its all diff variables", "session_id": 15295, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "yea", "session_id": 15295, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "we can work through it together in steps", "session_id": 15295, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "oh so i do", "session_id": 15295, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "im gonna write it below the screenshot", "session_id": 15295, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "-4 times 2", "session_id": 15295, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "6 times 2", "session_id": 15295, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "3 times 2?", "session_id": 15295, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "yea", "session_id": 15295, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "don't forget the coefficient though", "session_id": 15295, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "mhm", "session_id": 15295, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "do you know the next step after this", "session_id": 15295, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "i solved it", "session_id": 15295, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "give me one sec Emily writing on paper", "session_id": 15295, "sequence_id": 21, "annotations": [{"pii_type": "PERSON", "surrogate": "Emily", "start": 16, "end": 21}]}
{"role": "volunteer", "content": "ok", "session_id": 15295, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "ok next one", "session_id": 15295, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "b", "session_id": 15295, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "so i do", "session_id": 15295, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "48/32", "session_id": 15295, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "yea", "session_id": 15295, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "did u get it", "session_id": 15295, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "yes now #2", "session_id": 15295, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 15295, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "tell me if you have a qs", "session_id": 15295, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "so i do 4 times 4", "session_id": 15295, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "5 time 5", "session_id": 15295, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "um actually its 4^-2", "session_id": 15295, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "oh", "session_id": 15295, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "so its actually 1/4^2", "session_id": 15295, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "and same for the 5", "session_id": 15295, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "ok nex one", "session_id": 15295, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "#2", "session_id": 15295, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "do u mean 3 or are you still doing 2", "session_id": 15295, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "#3", "session_id": 15295, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 15295, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "so i would do -2 times -3", "session_id": 15295, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "so -2^-3 is basically 1/2^3 which equals 1/8", "session_id": 15295, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "k", "session_id": 15295, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "ok #4", "session_id": 15295, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 15295, "sequence_id": 47, "annotations": []}
{"role": "student", "content": "so", "session_id": 15295, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "would it be", "session_id": 15295, "sequence_id": 49, "annotations": []}
{"role": "student", "content": "?", "session_id": 15295, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "umm not quite", "session_id": 15295, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "lemme write smth on the board", "session_id": 15295, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "you know that concept right", "session_id": 15295, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "well you apply it to this problem", "session_id": 15295, "sequence_id": 54, "annotations": []}
{"role": "student", "content": "oh ok i see", "session_id": 15295, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "wait sorry um I think I did something wrong", "session_id": 15295, "sequence_id": 56, "annotations": []}
{"role": "student", "content": "ok i finished all of it", "session_id": 15295, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "um ok", "session_id": 15295, "sequence_id": 58, "annotations": []}
{"role": "student", "content": "this looks hard", "session_id": 15295, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "its just a lot of numbers its not rly that hard", "session_id": 15295, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "do u need help with the problems", "session_id": 15295, "sequence_id": 61, "annotations": []}
{"role": "student", "content": "i need help with a & b in #1", "session_id": 15295, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 15295, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "do for the first expression you distribute the value outside the parenthesis", "session_id": 15295, "sequence_id": 64, "annotations": []}
{"role": "student", "content": "actully ill work on this later im gonna do english instead", "session_id": 15295, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "Hi there. How may I help you today?", "session_id": 15436, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "Hi ! i need possible answers and help on this assignment, ill put it on screen.", "session_id": 15436, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "Sure, no problem. By the way, this is my first time tutoring on Ava so bear with me please as I navigate the tools :)", "session_id": 15436, "sequence_id": 2, "annotations": [{"pii_type": "PERSON", "surrogate": "Ava", "start": 64, "end": 67}]}
{"role": "volunteer", "content": "Please let me know once you've posted the question. I don't see anything yet", "session_id": 15436, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "Oh, Okay!", "session_id": 15436, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "I see it now. Is it possible to make it a little bit bigger?", "session_id": 15436, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "yeah!", "session_id": 15436, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "ok. thank you", "session_id": 15436, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "Are you familiar with the concept of domain and range and what they refer to?", "session_id": 15436, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "not really", "session_id": 15436, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 15436, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "So do you know what the horizontal axis is typically referred to by? Like what letter?", "session_id": 15436, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "y", "session_id": 15436, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "And also vertical axis - what letter?", "session_id": 15436, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "x", "session_id": 15436, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "close! It's the other way around. \nHorizontal axis is X and vertical axis is Y", "session_id": 15436, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "oh i thought you were saying do i know the axis", "session_id": 15436, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "No worries :)", "session_id": 15436, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "So for each of these graphs we have to say what the range is for X and what the range is for Y based on the shaped of the lines you're seeing", "session_id": 15436, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "Let's start with an easier one maybe .. how about graph # 6", "session_id": 15436, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "ok", "session_id": 15436, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "based on the shape that you see there on the horizontal axis what do you see the lowest and highest values being on the x (horizontal) axis?", "session_id": 15436, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "let me see if I can draw on here", "session_id": 15436, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "what are the values of those two points", "session_id": 15436, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "as in the points?", "session_id": 15436, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 15436, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "I'll help you", "session_id": 15436, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "so the circle I have to the left is at zero, is that right?", "session_id": 15436, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "1, 5", "session_id": 15436, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "you're super close!", "session_id": 15436, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "one less from each one :)", "session_id": 15436, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "0,4", "session_id": 15436, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "perfect!", "session_id": 15436, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "So that means X is between 0 and 4, does that make sense ?", "session_id": 15436, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "for that shape", "session_id": 15436, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "mhm", "session_id": 15436, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "let me draw another line to try and show you", "session_id": 15436, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "see the thick line I drew? That's the X it goes from point 0 to 4 places to the right", "session_id": 15436, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "which is your \"domain\"", "session_id": 15436, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "so basically its the same for y", "session_id": 15436, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "so", "session_id": 15436, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "3,-3", "session_id": 15436, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "?", "session_id": 15436, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "super close", "session_id": 15436, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "1 sec", "session_id": 15436, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "The thick vertical line is the Y (range)", "session_id": 15436, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "so what's the lowest point? It's not -3 but you're close", "session_id": 15436, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "it's two squares", "session_id": 15436, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "Those two dots", "session_id": 15436, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "what is the lower one? how many squares down below zero?", "session_id": 15436, "sequence_id": 49, "annotations": []}
{"role": "student", "content": "2,-3?", "session_id": 15436, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "ah closer :)", "session_id": 15436, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "2 is right for the top point", "session_id": 15436, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "what about the bottom point", "session_id": 15436, "sequence_id": 53, "annotations": []}
{"role": "student", "content": "3", "session_id": 15436, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "-2", "session_id": 15436, "sequence_id": 55, "annotations": []}
{"role": "student", "content": "ohhh", "session_id": 15436, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "does that make sense?", "session_id": 15436, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "let me try to draw it bigger next to the graph", "session_id": 15436, "sequence_id": 58, "annotations": []}
{"role": "student", "content": "yeah its too little for me thats why i keep missing up", "session_id": 15436, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "yep it's kind of small", "session_id": 15436, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "but does what I drew make sense?", "session_id": 15436, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "you have to count the squares and also give it the right sign based on whether is above the axis or below", "session_id": 15436, "sequence_id": 62, "annotations": []}
{"role": "student", "content": "yes", "session_id": 15436, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "so now the domain (X) would be between 0 and 4", "session_id": 15436, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "and the range (Y) would be between -2 and 2", "session_id": 15436, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "do you know how to write that up on the sheet", "session_id": 15436, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "I see little keyboard symbols next to domain and range, not sure what that means", "session_id": 15436, "sequence_id": 67, "annotations": []}
{"role": "student", "content": "i put that and it says it doesnt work", "session_id": 15436, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "Do you have to click the keyboard symbol?", "session_id": 15436, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "Do you guys use less than and great than symbols for domain and range <   and >", "session_id": 15436, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "or do you use brackets and parentheses (x,y) or [x,y] ?", "session_id": 15436, "sequence_id": 71, "annotations": []}
{"role": "student", "content": "ohh ok lemme try again", "session_id": 15436, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "sure", "session_id": 15436, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "I'm still here if you need my help figuring out how to type it in.", "session_id": 15436, "sequence_id": 74, "annotations": []}
{"role": "volunteer", "content": "Unfortunately I do need to end the session in about two minutes. I hope this has been helpful for you.", "session_id": 15436, "sequence_id": 75, "annotations": []}
{"role": "student", "content": "this has but okay", "session_id": 15436, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "Let me type in two different ways you can write the domain and range for graph #6", "session_id": 15436, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "I hope that helps guide you with the other ones", "session_id": 15436, "sequence_id": 78, "annotations": []}
{"role": "student", "content": "okay David", "session_id": 15436, "sequence_id": 79, "annotations": [{"pii_type": "PERSON", "surrogate": "David", "start": 5, "end": 10}]}
{"role": "student", "content": "sorry if i wasted your time.", "session_id": 15436, "sequence_id": 80, "annotations": []}
{"role": "volunteer", "content": "not a waste of time at all", "session_id": 15436, "sequence_id": 81, "annotations": []}
{"role": "volunteer", "content": "I'm just now sure which way you're supposed to write them in", "session_id": 15436, "sequence_id": 82, "annotations": []}
{"role": "volunteer", "content": "so I put both ways in there for you", "session_id": 15436, "sequence_id": 83, "annotations": []}
{"role": "student", "content": "okay ty!", "session_id": 15436, "sequence_id": 84, "annotations": []}
{"role": "volunteer", "content": "no problem :) \nTake care!", "session_id": 15436, "sequence_id": 85, "annotations": []}
{"role": "student", "content": "hi", "session_id": 15468, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "Hi Maya", "session_id": 15468, "sequence_id": 1, "annotations": [{"pii_type": "PERSON", "surrogate": "Maya", "start": 3, "end": 7}]}
{"role": "volunteer", "content": "okay", "session_id": 15468, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "i have this so far hold on let me writs", "session_id": 15468, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "okay", "session_id": 15468, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "looks good to me, but let me double check", "session_id": 15468, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "yes, you got it. but you can simplify it further", "session_id": 15468, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "i can combine e^x and 3x right", "session_id": 15468, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "that won't help. but you see there is a common factor between 3x and 6", "session_id": 15468, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "does that work", "session_id": 15468, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "yes! btw, you can drop that 1", "session_id": 15468, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "thanks", "session_id": 15468, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "you are very welcome.", "session_id": 15468, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "any more question?", "session_id": 15468, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "yeah, a chain rule question. Can you give me a quick second", "session_id": 15468, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "sure", "session_id": 15468, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "you want to give it a try first?", "session_id": 15468, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 15468, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "is this a combination of chain rule and product", "session_id": 15468, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "or just product", "session_id": 15468, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "it is just product rule", "session_id": 15468, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "you got it!", "session_id": 15468, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "i just have a problem understanding the formula", "session_id": 15468, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "the chain rule formula?", "session_id": 15468, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 15468, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "like the middle part", "session_id": 15468, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "I see", "session_id": 15468, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "Let me think about how to explain it intuitively ok?", "session_id": 15468, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "ok", "session_id": 15468, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "let me try one explaination", "session_id": 15468, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "we would like to compute the derivative", "session_id": 15468, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "of h(x)", "session_id": 15468, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "ok", "session_id": 15468, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "which is the instantaneous rate change in h(x)", "session_id": 15468, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "ok", "session_id": 15468, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "I will write down the rate of change formula", "session_id": 15468, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "this is the rate of change of h(x) when we increase x by a little bit", "session_id": 15468, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "does this make sense to you?", "session_id": 15468, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "Yes, I'm familiar", "session_id": 15468, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "great", "session_id": 15468, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "next, I will apply the definition of h(x)", "session_id": 15468, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "I just replaced h() with f(g(())", "session_id": 15468, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "next step is the key step", "session_id": 15468, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "I just multiplied the rate of change by 1", "session_id": 15468, "sequence_id": 43, "annotations": []}
{"role": "student", "content": "right ok", "session_id": 15468, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "we are almost there", "session_id": 15468, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "I just swapped the two terms in the denominator", "session_id": 15468, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "you see the second term is just instantaneous rate of change of g(x), so it is g'(x)", "session_id": 15468, "sequence_id": 47, "annotations": []}
{"role": "student", "content": "ok", "session_id": 15468, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "if we set g(x)=u, then g(x+**) is like u+**", "session_id": 15468, "sequence_id": 49, "annotations": []}
{"role": "student", "content": "oh like u sub", "session_id": 15468, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 15468, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "this is one way to think about", "session_id": 15468, "sequence_id": 52, "annotations": []}
{"role": "student", "content": "im thinking about how i would apply it here", "session_id": 15468, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "oh I see, I thought you already got it", "session_id": 15468, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "you got the g'(x) part", "session_id": 15468, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "you got the f'(u)", "session_id": 15468, "sequence_id": 56, "annotations": []}
{"role": "student", "content": "right", "session_id": 15468, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "almost. let me show you. It seems you got scared", "session_id": 15468, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "actually you just have to follow the fomula", "session_id": 15468, "sequence_id": 59, "annotations": []}
{"role": "student", "content": "ok", "session_id": 15468, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "this is the formula you learned. right?", "session_id": 15468, "sequence_id": 61, "annotations": []}
{"role": "student", "content": "right", "session_id": 15468, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "let's copy what you have written down", "session_id": 15468, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "finally we have to replace u with terms of x", "session_id": 15468, "sequence_id": 64, "annotations": []}
{"role": "student", "content": "oh yeah you cant have u in an equation that started as x", "session_id": 15468, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 15468, "sequence_id": 66, "annotations": []}
{"role": "student", "content": "thanks that makes a lot more sense", "session_id": 15468, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "you are very welcome.", "session_id": 15468, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "I think you are in very good shape.", "session_id": 15468, "sequence_id": 69, "annotations": []}
{"role": "student", "content": "thank you", "session_id": 15468, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "you are very welcome.", "session_id": 15468, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "bye.", "session_id": 15468, "sequence_id": 72, "annotations": []}
{"role": "student", "content": "bye", "session_id": 15468, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "hello!", "session_id": 15655, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "hi, I am having problems with my rationals test review", "session_id": 15655, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "okay great! can you give me an example?", "session_id": 15655, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "so you have to simplify?", "session_id": 15655, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "The question for that equation is what is the EBA?", "session_id": 15655, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "im sorry, can you define EBA?", "session_id": 15655, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "EBA = end behavior asymptote", "session_id": 15655, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "ahh i see", "session_id": 15655, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "so that basically means the horizontal asymptote", "session_id": 15655, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "Yes, that is the umbrella that the HA is under", "session_id": 15655, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "okay greay", "session_id": 15655, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "great*", "session_id": 15655, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "so let me teach you a little trick", "session_id": 15655, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "look at the highest degree of numerator and denominator", "session_id": 15655, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "wait do you want to factor or find the HA first?", "session_id": 15655, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "I was taught to factor then find HA", "session_id": 15655, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "okay, lets factor first", "session_id": 15655, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "so we would objectively want to cancel out the numerator and the denominator", "session_id": 15655, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "are you familiar with the ac method?", "session_id": 15655, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "Yes, and the A and M method", "session_id": 15655, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "okay, i like the ac method so lets do that", "session_id": 15655, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "so we are left with 3x+1", "session_id": 15655, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "I just don't know where to go from there", "session_id": 15655, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "so think about it on a graph", "session_id": 15655, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "its just a regular line that goes up", "session_id": 15655, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "as it goes to positive infinity, its going to go up up up", "session_id": 15655, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "and goes down when going to negative infinity", "session_id": 15655, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "Yes, how did you get the graph from your factored form?", "session_id": 15655, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "well the graph i just did is 3x+1", "session_id": 15655, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "because the (x-5) cancelled out on the numerator and denominator", "session_id": 15655, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "Ahh, those are your zeros?", "session_id": 15655, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "That you graphed?", "session_id": 15655, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "no", "session_id": 15655, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "its the same thing as f(x) but there is a hole at x=5", "session_id": 15655, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "if you cancel out the factors, then youre left with the basic graph (3x+1)", "session_id": 15655, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "okay, lets take a step back", "session_id": 15655, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "did you understand how i did the ac method, right?", "session_id": 15655, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "sort of", "session_id": 15655, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "what part is a bit confusing?", "session_id": 15655, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "how you got to -15", "session_id": 15655, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "so the standard form of a quadratic is:", "session_id": 15655, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "ax^2+bx+c", "session_id": 15655, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "ok", "session_id": 15655, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "a in the numerator is 3 and c is -5", "session_id": 15655, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "so a times c (ac) is -15", "session_id": 15655, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "ok, that makes a lot more sense. I may have forgotten how to do the ac method . that was s along time ago", "session_id": 15655, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "yeah,haha me too", "session_id": 15655, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "but practice just engraved it into my brain", "session_id": 15655, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "what class is this for again?", "session_id": 15655, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "pre-cal", "session_id": 15655, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "okay cool", "session_id": 15655, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "so lets go back to the problem", "session_id": 15655, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "ok", "session_id": 15655, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "so the factors of -15 that make up -14 are 1 and -15", "session_id": 15655, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "because you add the factors together to get b", "session_id": 15655, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "-15+1=-14", "session_id": 15655, "sequence_id": 55, "annotations": []}
{"role": "student", "content": "yes, that is very obvious now", "session_id": 15655, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "haha, okay so then i expanded the original polynomial into 3x^2-15x+x-5", "session_id": 15655, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "i think its best to group the biggest number with Sarah because it always works", "session_id": 15655, "sequence_id": 58, "annotations": [{"pii_type": "PERSON", "surrogate": "Sarah", "start": 50, "end": 55}]}
{"role": "volunteer", "content": "so thats why 3x^2 and -15x are togehter", "session_id": 15655, "sequence_id": 59, "annotations": []}
{"role": "student", "content": "ok", "session_id": 15655, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "what is the largest common factor between those two terms?", "session_id": 15655, "sequence_id": 61, "annotations": []}
{"role": "student", "content": "5", "session_id": 15655, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "no, 5 is not a factor of 3x^2", "session_id": 15655, "sequence_id": 63, "annotations": []}
{"role": "student", "content": "3x", "session_id": 15655, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "yes!", "session_id": 15655, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "so then you group it as i did on the board", "session_id": 15655, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "so it looks like 3x(x-5)", "session_id": 15655, "sequence_id": 67, "annotations": []}
{"role": "student", "content": "and then you devid", "session_id": 15655, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "not yet", "session_id": 15655, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "because you need to group it", "session_id": 15655, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "since we already have (x-5) of the other side, we can add what is multiplying (x-5) together to make it a term itself", "session_id": 15655, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "so 3x(x-5) +1(x-5)", "session_id": 15655, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "we can just add the outsides", "session_id": 15655, "sequence_id": 73, "annotations": []}
{"role": "student", "content": "ok", "session_id": 15655, "sequence_id": 74, "annotations": []}
{"role": "volunteer", "content": "3x+1", "session_id": 15655, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 15655, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "and thenn you can divide", "session_id": 15655, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "(3x+1)(x-5)/(x-5)", "session_id": 15655, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "is just 3x+1", "session_id": 15655, "sequence_id": 79, "annotations": []}
{"role": "student", "content": "ohhh, then you set 3x+1 equal to 0?", "session_id": 15655, "sequence_id": 80, "annotations": []}
{"role": "volunteer", "content": "you do not need to set anything equal to zero", "session_id": 15655, "sequence_id": 81, "annotations": []}
{"role": "student", "content": "well how did you get the point on the graph?", "session_id": 15655, "sequence_id": 82, "annotations": []}
{"role": "volunteer", "content": "oh for the graph? i guess so", "session_id": 15655, "sequence_id": 83, "annotations": []}
{"role": "volunteer", "content": "but the graph isnt too revelant, it was just to help you visualize", "session_id": 15655, "sequence_id": 84, "annotations": []}
{"role": "volunteer", "content": "but just think about y=3x+1", "session_id": 15655, "sequence_id": 85, "annotations": []}
{"role": "volunteer", "content": "and then thats the graph", "session_id": 15655, "sequence_id": 86, "annotations": []}
{"role": "student", "content": "ok, I understand", "session_id": 15655, "sequence_id": 87, "annotations": []}
{"role": "volunteer", "content": "okay, so using the graph to help you visualize, what are the end behaviors?", "session_id": 15655, "sequence_id": 88, "annotations": []}
{"role": "student", "content": "down, up", "session_id": 15655, "sequence_id": 89, "annotations": []}
{"role": "volunteer", "content": "could you explain", "session_id": 15655, "sequence_id": 90, "annotations": []}
{"role": "student", "content": "that would be the end behavior?", "session_id": 15655, "sequence_id": 91, "annotations": []}
{"role": "volunteer", "content": "yes!", "session_id": 15655, "sequence_id": 92, "annotations": []}
{"role": "volunteer", "content": "okay", "session_id": 15655, "sequence_id": 93, "annotations": []}
{"role": "volunteer", "content": "do you wanna see an easier way?", "session_id": 15655, "sequence_id": 94, "annotations": []}
{"role": "student", "content": "yes!!!!!!", "session_id": 15655, "sequence_id": 95, "annotations": []}
{"role": "volunteer", "content": "okay", "session_id": 15655, "sequence_id": 96, "annotations": []}
{"role": "volunteer", "content": "can you erase the part under the function", "session_id": 15655, "sequence_id": 97, "annotations": []}
{"role": "volunteer", "content": "okay watch this", "session_id": 15655, "sequence_id": 98, "annotations": []}
{"role": "student", "content": "ok", "session_id": 15655, "sequence_id": 99, "annotations": []}
{"role": "volunteer", "content": "these are the only terms you need to check for the end behavior", "session_id": 15655, "sequence_id": 100, "annotations": []}
{"role": "student", "content": "ok", "session_id": 15655, "sequence_id": 101, "annotations": []}
{"role": "volunteer", "content": "are you familiar with the term 'degree'?", "session_id": 15655, "sequence_id": 102, "annotations": []}
{"role": "student", "content": "yes!", "session_id": 15655, "sequence_id": 103, "annotations": []}
{"role": "volunteer", "content": "okay great", "session_id": 15655, "sequence_id": 104, "annotations": []}
{"role": "volunteer", "content": "so all you need to identity is the degree of the numerator and denominator", "session_id": 15655, "sequence_id": 105, "annotations": []}
{"role": "volunteer", "content": "if the degree in the numerator is bigger than the degree in the denominator, then there is no horizontal asymptote", "session_id": 15655, "sequence_id": 106, "annotations": []}
{"role": "student", "content": "oh, yes now I am remembering this from class", "session_id": 15655, "sequence_id": 107, "annotations": []}
{"role": "volunteer", "content": "and to determine the end behavior, just divide the degrees", "session_id": 15655, "sequence_id": 108, "annotations": []}
{"role": "volunteer", "content": "great!", "session_id": 15655, "sequence_id": 109, "annotations": []}
{"role": "volunteer", "content": "so if the quotient is an even, the end behaviors are the same", "session_id": 15655, "sequence_id": 110, "annotations": []}
{"role": "volunteer", "content": "and if its odd, which is true in this case, theyre going to be opposite end behaviors", "session_id": 15655, "sequence_id": 111, "annotations": []}
{"role": "student", "content": "that is stupid easy, why did I not get taught this earlier?", "session_id": 15655, "sequence_id": 112, "annotations": []}
{"role": "volunteer", "content": "well....", "session_id": 15655, "sequence_id": 113, "annotations": []}
{"role": "volunteer", "content": "you did say you typically started with factoring", "session_id": 15655, "sequence_id": 114, "annotations": []}
{"role": "student", "content": "yes", "session_id": 15655, "sequence_id": 115, "annotations": []}
{"role": "volunteer", "content": "but factoring is wayy too long", "session_id": 15655, "sequence_id": 116, "annotations": []}
{"role": "volunteer", "content": "but make sure that the end behaviors change if the function is negative", "session_id": 15655, "sequence_id": 117, "annotations": []}
{"role": "volunteer", "content": "like a is negative", "session_id": 15655, "sequence_id": 118, "annotations": []}
{"role": "student", "content": "ok", "session_id": 15655, "sequence_id": 119, "annotations": []}
{"role": "volunteer", "content": "anyway, did you understand that?", "session_id": 15655, "sequence_id": 120, "annotations": []}
{"role": "student", "content": "yes!!!!!", "session_id": 15655, "sequence_id": 121, "annotations": []}
{"role": "volunteer", "content": "any other questions?", "session_id": 15655, "sequence_id": 122, "annotations": []}
{"role": "student", "content": "thank you! nope I do not have any other questions.", "session_id": 15655, "sequence_id": 123, "annotations": []}
{"role": "volunteer", "content": "okay amazing!", "session_id": 15655, "sequence_id": 124, "annotations": []}
{"role": "volunteer", "content": "have a good day!", "session_id": 15655, "sequence_id": 125, "annotations": []}
{"role": "student", "content": "you too", "session_id": 15655, "sequence_id": 126, "annotations": []}
{"role": "volunteer", "content": "Hello, how are you?", "session_id": 15659, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "Other questions that I can help you with?", "session_id": 15659, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "Any specific questions I can help you with?", "session_id": 15659, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "Hello", "session_id": 15659, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "Hi", "session_id": 15659, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "I will put the question on the board for you", "session_id": 15659, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 15659, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "I'm waiting", "session_id": 15659, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "Hello", "session_id": 15659, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "You can type the question on the board if that's easier.", "session_id": 15659, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "or, or sharing your desktop", "session_id": 15659, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "there", "session_id": 15659, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "OK.", "session_id": 15659, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "Are you gonna try it out and then I help you or how do you wanna go about it?", "session_id": 15659, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "can we do it together", "session_id": 15659, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "OK, you wanna take the first step.", "session_id": 15659, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "Or do you want me to write down the first year?", "session_id": 15659, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "The first step", "session_id": 15659, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "Can you solve that", "session_id": 15659, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "Hello", "session_id": 15659, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "Hi there", "session_id": 15659, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "Hi there", "session_id": 15659, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "Emily , do you see the board?", "session_id": 15659, "sequence_id": 22, "annotations": [{"pii_type": "PERSON", "surrogate": "Emily", "start": 0, "end": 5}]}
{"role": "student", "content": "yes", "session_id": 15659, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "ok go on", "session_id": 15659, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "Did you see how we", "session_id": 15659, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "separately multiplied the 4x.", "session_id": 15659, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "and the -2 x 3.", "session_id": 15659, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "Any questions so far", "session_id": 15659, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "Hello? Can you hear me? Are you there?", "session_id": 15659, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "yes I'm still here", "session_id": 15659, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "I'm just writing down this", "session_id": 15659, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 15659, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "Can you start the next step", "session_id": 15659, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "no response", "session_id": 15659, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "Hi Jamie", "session_id": 15716, "sequence_id": 0, "annotations": [{"pii_type": "PERSON", "surrogate": "Jamie", "start": 3, "end": 8}]}
{"role": "volunteer", "content": "how can I help today?", "session_id": 15716, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "Hi", "session_id": 15716, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "I need help with understanding converse , inverse , contrapositive statements", "session_id": 15716, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 15716, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "Let's look at an example.", "session_id": 15716, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "Does this help?", "session_id": 15716, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 15716, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "The converse just switches the if and then.", "session_id": 15716, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "The inverse keeps the original order, but makes them both negative.", "session_id": 15716, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "So the then goes first in converse ?", "session_id": 15716, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "we still write if, then but we switch the two ideas around.", "session_id": 15716, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "see how \"study\" and \"pass the exam\" switched spots?", "session_id": 15716, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "The contrapositive switches the order AND makes them both negative.  It's kind of a combination of converse and inverse, in a way.", "session_id": 15716, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "Thank you now I understand it better \ud83d\ude06", "session_id": 15716, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "okay, glad to help", "session_id": 15716, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "have a great day, Jamie", "session_id": 15716, "sequence_id": 16, "annotations": [{"pii_type": "PERSON", "surrogate": "Jamie", "start": 18, "end": 23}]}
{"role": "student", "content": "Bye you too", "session_id": 15716, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "hello", "session_id": 15785, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "Hey Alex, was there a bug that wouldn't let you upload the question", "session_id": 15785, "sequence_id": 1, "annotations": [{"pii_type": "PERSON", "surrogate": "Alex", "start": 4, "end": 8}]}
{"role": "student", "content": "im so sorry for what happened", "session_id": 15785, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "I accidentally closed Tutor Provider out", "session_id": 15785, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "No it's okay", "session_id": 15785, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "and it took a while to reload for some reason", "session_id": 15785, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "so heres the paper", "session_id": 15785, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "I erased everything because I didn't understand it and I wanted to write it down as well", "session_id": 15785, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "My teacher also grades the steps involved besides the answer", "session_id": 15785, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "Okay so what do you need help specifically", "session_id": 15785, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "factoring", "session_id": 15785, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "mainly problems like these", "session_id": 15785, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "We'll go problem by problem", "session_id": 15785, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "Okay let's start with question 1", "session_id": 15785, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "Just for the heads up, I won't be able to stay for long, so let's use our time wisely to solve as many problems as we can. Sorry for the late notice.", "session_id": 15785, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "no worries", "session_id": 15785, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "Okay so what do you know about factoring in general", "session_id": 15785, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "we'd typically try to find two numbers that equal an equation like a quadratic equation", "session_id": 15785, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "something like (x-1)(x-5)", "session_id": 15785, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "Yes good job!", "session_id": 15785, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "or 2x-5)(5x+2)", "session_id": 15785, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "but these ones require a bit more steps", "session_id": 15785, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "So that's what we'll be doing in this problem", "session_id": 15785, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "Okay in this question, you notice that there is a common term amongst both expressions. Can you pinpoint what it is", "session_id": 15785, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "5^2+k", "session_id": 15785, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "like that?", "session_id": 15785, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "Yes precisely", "session_id": 15785, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "then how do we factor it then?", "session_id": 15785, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "And now you're left with h^2 - k^2 = (h-k)(h+k)", "session_id": 15785, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "those two only?", "session_id": 15785, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "Also include h^2 - k^2 at the beginning of the factor", "session_id": 15785, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "there", "session_id": 15785, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "You did it somewhat correctly, but I'll show you", "session_id": 15785, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "ok", "session_id": 15785, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "In order to fully factor this you would need to know the difference of squares", "session_id": 15785, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "oh alr", "session_id": 15785, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "what if it was a cube", "session_id": 15785, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "It would be the same process, but with cubes instead. For example h^3 - K^3 = (h-k)(h^2 + hk + k^2), which is the fully factor form if it was cube", "session_id": 15785, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "But in this scenario we're working with squares, so the fully factor form will be substituting the h^2 in to a factor with k", "session_id": 15785, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "ok bc I barely get cubes", "session_id": 15785, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "so (h^2 + k)(h-k)(h+k)", "session_id": 15785, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "problem 2", "session_id": 15785, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "So what are you confused about in this question?", "session_id": 15785, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "what do we do with the x", "session_id": 15785, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "Okay we will use x later when we recognize the differences of squares", "session_id": 15785, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "So first what do you notice in this expression", "session_id": 15785, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "we have a quadratic equation", "session_id": 15785, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "the factors for that is ((u-1)^2", "session_id": 15785, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "Great job Alex!", "session_id": 15785, "sequence_id": 48, "annotations": [{"pii_type": "PERSON", "surrogate": "Alex", "start": 10, "end": 14}]}
{"role": "volunteer", "content": "So we notice that x - 2u + 1 is a perfect square, resulting in ((u-1)^2", "session_id": 15785, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "So what have right now is (u - 1)^2 - v^2", "session_id": 15785, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "So what do you notice now in this expression?", "session_id": 15785, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "we have a perfect square and another term", "session_id": 15785, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "That's true, but consider on what that truly means", "session_id": 15785, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "This perfect square and another term tells us that there's a difference of squares", "session_id": 15785, "sequence_id": 54, "annotations": []}
{"role": "student", "content": "a difference of squares?", "session_id": 15785, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "Yes, meaning (a^2 - b^2) = (a-b)(a+b)", "session_id": 15785, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "And in this scenario, what do you think a and b is?", "session_id": 15785, "sequence_id": 57, "annotations": []}
{"role": "student", "content": "a is u-1 and b is v", "session_id": 15785, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "Correct!", "session_id": 15785, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "So all you have to do is fully factor it from this (u-1)^2 - v^2", "session_id": 15785, "sequence_id": 60, "annotations": []}
{"role": "student", "content": "like that?", "session_id": 15785, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "Great job! That is perfect work", "session_id": 15785, "sequence_id": 62, "annotations": []}
{"role": "student", "content": "nice", "session_id": 15785, "sequence_id": 63, "annotations": []}
{"role": "student", "content": "problem 3", "session_id": 15785, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "How do you feel so far on this topic?", "session_id": 15785, "sequence_id": 65, "annotations": []}
{"role": "student", "content": "factoring eh", "session_id": 15785, "sequence_id": 66, "annotations": []}
{"role": "student", "content": "I get some of it", "session_id": 15785, "sequence_id": 67, "annotations": []}
{"role": "student", "content": "but the bigger equations just mess me up", "session_id": 15785, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "Oh okay with extra practice, I can guarantee that you'll do just fine on this upcoming test/quiz", "session_id": 15785, "sequence_id": 69, "annotations": []}
{"role": "student", "content": "we also have two other topics to go over as well but i'm more thorough with those", "session_id": 15785, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "So in this problem, what do you see in common in these expressions", "session_id": 15785, "sequence_id": 71, "annotations": []}
{"role": "student", "content": "trying to factor it after the first step", "session_id": 15785, "sequence_id": 72, "annotations": []}
{"role": "student", "content": "like I typically dont know what variables to factor espiecially if its a cube", "session_id": 15785, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "Don't worry we'll get to that problem soon, but let's focus on this one for now", "session_id": 15785, "sequence_id": 74, "annotations": []}
{"role": "volunteer", "content": "So in this expression, what common factor do you see", "session_id": 15785, "sequence_id": 75, "annotations": []}
{"role": "student", "content": "y+1", "session_id": 15785, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "Yes, you're on the right track", "session_id": 15785, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "Yes good job Alex!", "session_id": 15785, "sequence_id": 78, "annotations": [{"pii_type": "PERSON", "surrogate": "Alex", "start": 13, "end": 17}]}
{"role": "student", "content": "is that correct?", "session_id": 15785, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "Yes you did it correctly, but be mindful of the operation that you used for y-1", "session_id": 15785, "sequence_id": 80, "annotations": []}
{"role": "student", "content": "y-1?", "session_id": 15785, "sequence_id": 81, "annotations": []}
{"role": "volunteer", "content": "Good job! Yes (y-1) should be (y+1)", "session_id": 15785, "sequence_id": 82, "annotations": []}
{"role": "student", "content": "wait im so confused", "session_id": 15785, "sequence_id": 83, "annotations": []}
{"role": "volunteer", "content": "It's because you put (y-1) at first", "session_id": 15785, "sequence_id": 84, "annotations": []}
{"role": "student", "content": "ohh", "session_id": 15785, "sequence_id": 85, "annotations": []}
{"role": "student", "content": "would we combine terms?", "session_id": 15785, "sequence_id": 86, "annotations": []}
{"role": "volunteer", "content": "I just wanted to guide you to fix that minor mistake", "session_id": 15785, "sequence_id": 87, "annotations": []}
{"role": "student", "content": "like y+3 and y+2", "session_id": 15785, "sequence_id": 88, "annotations": []}
{"role": "volunteer", "content": "Nope, this will be your fully factored form/expression", "session_id": 15785, "sequence_id": 89, "annotations": []}
{"role": "student", "content": "oh", "session_id": 15785, "sequence_id": 90, "annotations": []}
{"role": "student", "content": "I got it right", "session_id": 15785, "sequence_id": 91, "annotations": []}
{"role": "student", "content": "thats something", "session_id": 15785, "sequence_id": 92, "annotations": []}
{"role": "student", "content": "ill try 4", "session_id": 15785, "sequence_id": 93, "annotations": []}
{"role": "student", "content": "and see what I get", "session_id": 15785, "sequence_id": 94, "annotations": []}
{"role": "volunteer", "content": "After you finish, I'll guide you on what you did right or wrong", "session_id": 15785, "sequence_id": 95, "annotations": []}
{"role": "volunteer", "content": "Also I'm very sorry that this may be my last question that I can help and support you on", "session_id": 15785, "sequence_id": 96, "annotations": []}
{"role": "student", "content": "its fine", "session_id": 15785, "sequence_id": 97, "annotations": []}
{"role": "volunteer", "content": "Sorry for my inconveniences", "session_id": 15785, "sequence_id": 98, "annotations": []}
{"role": "student", "content": "is that it?", "session_id": 15785, "sequence_id": 99, "annotations": []}
{"role": "volunteer", "content": "Not quite, but you got the first part down efficiently. Do you remember the cubes formula?", "session_id": 15785, "sequence_id": 100, "annotations": []}
{"role": "student", "content": "A^3-B^3= A+B and A^2-B^2", "session_id": 15785, "sequence_id": 101, "annotations": []}
{"role": "volunteer", "content": "The cubes formula: x^3 + y^3 = (x+y)(x^2 -xy + y^2)", "session_id": 15785, "sequence_id": 102, "annotations": []}
{"role": "volunteer", "content": "a = x and b = y", "session_id": 15785, "sequence_id": 103, "annotations": []}
{"role": "student", "content": "wait", "session_id": 15785, "sequence_id": 104, "annotations": []}
{"role": "student", "content": "do we use the coefficient?", "session_id": 15785, "sequence_id": 105, "annotations": []}
{"role": "volunteer", "content": "Yes", "session_id": 15785, "sequence_id": 106, "annotations": []}
{"role": "volunteer", "content": "a = 3a and b = 4c", "session_id": 15785, "sequence_id": 107, "annotations": []}
{"role": "volunteer", "content": "Good job, you're learning very quick", "session_id": 15785, "sequence_id": 108, "annotations": []}
{"role": "volunteer", "content": "What did you put for c? And also, be careful of \"3a^2\", you'll need to square it", "session_id": 15785, "sequence_id": 109, "annotations": []}
{"role": "student", "content": "4c^2", "session_id": 15785, "sequence_id": 110, "annotations": []}
{"role": "volunteer", "content": "You would need to multiply is by 4c which will give you 16c^2", "session_id": 15785, "sequence_id": 111, "annotations": []}
{"role": "student", "content": "huh", "session_id": 15785, "sequence_id": 112, "annotations": []}
{"role": "student", "content": "why", "session_id": 15785, "sequence_id": 113, "annotations": []}
{"role": "student", "content": "oh", "session_id": 15785, "sequence_id": 114, "annotations": []}
{"role": "student", "content": "we have to square the bases?", "session_id": 15785, "sequence_id": 115, "annotations": []}
{"role": "volunteer", "content": "Yes precisely", "session_id": 15785, "sequence_id": 116, "annotations": []}
{"role": "volunteer", "content": "Since it's in factor form, you'll have to multiply each one", "session_id": 15785, "sequence_id": 117, "annotations": []}
{"role": "student", "content": "is this something we only do for a cube equation?", "session_id": 15785, "sequence_id": 118, "annotations": []}
{"role": "volunteer", "content": "Not really, there's other ways into solving cube equations, but I only demonstrated one of the few", "session_id": 15785, "sequence_id": 119, "annotations": []}
{"role": "student", "content": "so 3a and 4c become 9a and 16c", "session_id": 15785, "sequence_id": 120, "annotations": []}
{"role": "volunteer", "content": "Yes", "session_id": 15785, "sequence_id": 121, "annotations": []}
{"role": "student", "content": "what about 3a+4c", "session_id": 15785, "sequence_id": 122, "annotations": []}
{"role": "volunteer", "content": "Good job at executing each problem with effort", "session_id": 15785, "sequence_id": 123, "annotations": []}
{"role": "volunteer", "content": "3a and 4c will remain the same as they only act as a factor", "session_id": 15785, "sequence_id": 124, "annotations": []}
{"role": "student", "content": "alright", "session_id": 15785, "sequence_id": 125, "annotations": []}
{"role": "volunteer", "content": "Okay I hope I helped you effectively to understand and solve questions like these", "session_id": 15785, "sequence_id": 126, "annotations": []}
{"role": "student", "content": "wait", "session_id": 15785, "sequence_id": 127, "annotations": []}
{"role": "student", "content": "I cant think of a number multiplying to 16 and adding to 12", "session_id": 15785, "sequence_id": 128, "annotations": []}
{"role": "volunteer", "content": "Are you trying to further simplify the fully factored expression?", "session_id": 15785, "sequence_id": 129, "annotations": []}
{"role": "student", "content": "do we have to square it again?", "session_id": 15785, "sequence_id": 130, "annotations": []}
{"role": "volunteer", "content": "No you don't have to", "session_id": 15785, "sequence_id": 131, "annotations": []}
{"role": "student", "content": "oh wait", "session_id": 15785, "sequence_id": 132, "annotations": []}
{"role": "volunteer", "content": "The final product should be: (3a + 4c)(9a^2 -12ac + 16c^2)", "session_id": 15785, "sequence_id": 133, "annotations": []}
{"role": "student", "content": "now?", "session_id": 15785, "sequence_id": 134, "annotations": []}
{"role": "volunteer", "content": "No it wouldn't work", "session_id": 15785, "sequence_id": 135, "annotations": []}
{"role": "volunteer", "content": "Because the last term of c will be 12c^2 and not 16c^2, which we are looking for", "session_id": 15785, "sequence_id": 136, "annotations": []}
{"role": "volunteer", "content": "So your first answer that you wrote down was correct", "session_id": 15785, "sequence_id": 137, "annotations": []}
{"role": "student", "content": "(a-2c)^2 and (3a+4c)?", "session_id": 15785, "sequence_id": 138, "annotations": []}
{"role": "volunteer", "content": "No, it won't be the same", "session_id": 15785, "sequence_id": 139, "annotations": []}
{"role": "student", "content": "what...", "session_id": 15785, "sequence_id": 140, "annotations": []}
{"role": "volunteer", "content": "Because you will receive -8a^2c - 4ac^2", "session_id": 15785, "sequence_id": 141, "annotations": []}
{"role": "volunteer", "content": "So it wouldn't align with 9a^2 -12ac + 16c^2", "session_id": 15785, "sequence_id": 142, "annotations": []}
{"role": "student", "content": "oh", "session_id": 15785, "sequence_id": 143, "annotations": []}
{"role": "volunteer", "content": "Okay is there any more questions that you have before I end the session.", "session_id": 15785, "sequence_id": 144, "annotations": []}
{"role": "volunteer", "content": "Also it was nice meeting you Alex", "session_id": 15785, "sequence_id": 145, "annotations": [{"pii_type": "PERSON", "surrogate": "Alex", "start": 29, "end": 33}]}
{"role": "student", "content": "what are the two formulas?", "session_id": 15785, "sequence_id": 146, "annotations": []}
{"role": "volunteer", "content": "The cube and square?", "session_id": 15785, "sequence_id": 147, "annotations": []}
{"role": "student", "content": "yes", "session_id": 15785, "sequence_id": 148, "annotations": []}
{"role": "volunteer", "content": "Square formula: (a^2 - b^2) = (a-b)(a+b) and Cube formula: a^3 + b^3 = (a+b)(a^2 - ab + b^2)", "session_id": 15785, "sequence_id": 149, "annotations": []}
{"role": "volunteer", "content": "Is there any other questions?", "session_id": 15785, "sequence_id": 150, "annotations": []}
{"role": "student", "content": "thats it", "session_id": 15785, "sequence_id": 151, "annotations": []}
{"role": "student", "content": "thank you for working with me", "session_id": 15785, "sequence_id": 152, "annotations": []}
{"role": "volunteer", "content": "My pleasure. If you ever need help again, feel free to contact me since Tutor Provider is available 24/7", "session_id": 15785, "sequence_id": 153, "annotations": []}
{"role": "volunteer", "content": "It was nice working and speaking to you Alex!", "session_id": 15785, "sequence_id": 154, "annotations": [{"pii_type": "PERSON", "surrogate": "Alex", "start": 40, "end": 44}]}
{"role": "student", "content": "Alright then, see you another possible day", "session_id": 15785, "sequence_id": 155, "annotations": []}
{"role": "student", "content": "Bye then!", "session_id": 15785, "sequence_id": 156, "annotations": []}
{"role": "volunteer", "content": "Of course, I'll look forward into working with you", "session_id": 15785, "sequence_id": 157, "annotations": []}
{"role": "volunteer", "content": "Bye Alex!!!", "session_id": 15785, "sequence_id": 158, "annotations": [{"pii_type": "PERSON", "surrogate": "Alex", "start": 4, "end": 8}]}
{"role": "student", "content": "bye!", "session_id": 15785, "sequence_id": 159, "annotations": []}
{"role": "volunteer", "content": "Hi Liam! How is your day so far?", "session_id": 15792, "sequence_id": 0, "annotations": [{"pii_type": "PERSON", "surrogate": "Liam", "start": 3, "end": 7}]}
{"role": "student", "content": "It's okay. thanks for asking", "session_id": 15792, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "My pleasure, well I hope you're excited because by the end of this session, you'll be able to solve and understand the topic and questions that you need help with", "session_id": 15792, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "Awesome. Thank you. I'm not really sure how this works. I just signed up", "session_id": 15792, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "Oh it's okay, I'm just here for guidance and help on what you're confused about", "session_id": 15792, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "Okay let's jump right into the question", "session_id": 15792, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "Ok. I will write it on the board", "session_id": 15792, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "Okay perfect.", "session_id": 15792, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "After you write down the equations. Can you provide specific information on what the question is asking you to solve or do", "session_id": 15792, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "But based on what you're writing, it seems like system of equations if I'm not mistaken", "session_id": 15792, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "Yes it is. The question asks: Solve the following system of equations using any method. I remember doing this my freshman year but I don't know how to do it anymore", "session_id": 15792, "sequence_id": 10, "annotations": [{"pii_type": "GRADE_LEVEL", "surrogate": "freshman", "start": 113, "end": 121}]}
{"role": "volunteer", "content": "What methods do you know to solve system of equations?", "session_id": 15792, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "Substitution is all", "session_id": 15792, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "That I know", "session_id": 15792, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "Oh okay, we can use that method then to solve the given equations", "session_id": 15792, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "Do you know what to do first?", "session_id": 15792, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "No", "session_id": 15792, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "What do you remember from substitution?", "session_id": 15792, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "That there has to be the same number to cancel each other out", "session_id": 15792, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "Oh, you mixed elimination and substitution together where substitution requires you to solve for y through putting your equation into slope-intercept form", "session_id": 15792, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "Then you substitute it into the other equation of y. For example y = 2x + 2, If I want to figure out whether it has a solution or not then I would plug in 6x - 2(2x + 2) = 10", "session_id": 15792, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "Hi Alex!", "session_id": 15826, "sequence_id": 0, "annotations": [{"pii_type": "PERSON", "surrogate": "Alex", "start": 3, "end": 7}]}
{"role": "volunteer", "content": "How can I best help you today?", "session_id": 15826, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "Hi. Well first I wanna make sure i'Northwood High algebra wasn't an option :(", "session_id": 15826, "sequence_id": 2, "annotations": [{"pii_type": "SCHOOL", "surrogate": "Northwood High", "start": 35, "end": 49}]}
{"role": "volunteer", "content": "I don'Northwood High algebra is an option...but depending on what it is I can probably help!", "session_id": 15826, "sequence_id": 3, "annotations": [{"pii_type": "SCHOOL", "surrogate": "Northwood High", "start": 6, "end": 20}]}
{"role": "student", "content": "Ok thank you! Let me get the photo", "session_id": 15826, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "Honestly I have been struggling to understand ANY of this unit", "session_id": 15826, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "Okay no worries! I think I can help!", "session_id": 15826, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "Let's start with the first one... any ideas on how to start? If not that's totally fine!", "session_id": 15826, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "I have no idea", "session_id": 15826, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "Okay that's all good! I'll do a mix of writing on the board and typing out explanations to hopefully make it clearer", "session_id": 15826, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "okay let's start by multiplying both sides by x-5", "session_id": 15826, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "what will that give us?", "session_id": 15826, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "well I think on the first side, it cancels out the bottom..", "session_id": 15826, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "Yep exactly right!", "session_id": 15826, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "I'm not sure it would affect the 10 though", "session_id": 15826, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "it would not affect the 10", "session_id": 15826, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "so the other would just be x-5 right? Because 1x1 is still 1", "session_id": 15826, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "Yep!", "session_id": 15826, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "and then what would x be?", "session_id": 15826, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "if I did my math right, I think 15?", "session_id": 15826, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "Yeah, you got it!", "session_id": 15826, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "Alright, ready for the next one?", "session_id": 15826, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "yes", "session_id": 15826, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "Great! So for this one since there are multiple fractions we will need a common denominator", "session_id": 15826, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "Any idea how to do that?", "session_id": 15826, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "nope", "session_id": 15826, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "Okay no worries!", "session_id": 15826, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "so let's start with the one on the right....if we pull a negative sign out front, it will look closer to the other denominators", "session_id": 15826, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "does what I just did make sense so far?", "session_id": 15826, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "kinda?", "session_id": 15826, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "sorry, I'm just a little confused on why it would become negative if that makes sense", "session_id": 15826, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "Okay no worries, that's a great question to ask. So what I did was basically multiplying by a -1 over a -1 which is just 1 right? So it doesn't actually change the fraction", "session_id": 15826, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "but what it does do, is when the negative gets distributed to all the terms the x becomes positive and the three becomes negative", "session_id": 15826, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "You also don't have to do this step, but it will make your other steps much easier.", "session_id": 15826, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "oh ok", "session_id": 15826, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "I'm hoping that makes a little more sense now?", "session_id": 15826, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "Mostly, yeah", "session_id": 15826, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "Okay great to hear! So now we have two different denominators: x+3 and x-3", "session_id": 15826, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "to get a common denominator we'd have to multiply them together to get (x+3)(x-3)", "session_id": 15826, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "So doing one fraction at a time for the (x-1) / x+3 what would we have to multiply by to get that common denominator?", "session_id": 15826, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "oh jeez I'm sorry, I completly spaced that you asked me a question I'm so sorry-", "session_id": 15826, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "It's all good!", "session_id": 15826, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "the only thing I can think of is 1x3", "session_id": 15826, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "Really close...I like to look at it by what is missing from each fraction if that helps. For example, in the first one, you have x+3 in the denominator so you'd be missing the x-3 and have to multiply the numerator and denominator by that if that makes sense.", "session_id": 15826, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "So for the next one, which term are you missing and what would you then multiply by?", "session_id": 15826, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "would it still be x-3?..", "session_id": 15826, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "https://example.comis time you already have an x-3", "session_id": 15826, "sequence_id": 46, "annotations": [{"pii_type": "URL", "surrogate": "https://example.com", "start": 0, "end": 19}]}
{"role": "student", "content": "oh so x+3", "session_id": 15826, "sequence_id": 47, "annotations": []}
{"role": "student", "content": "?", "session_id": 15826, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "Yeah you got it!", "session_id": 15826, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "Then for the last one, we already have the x+3 so it would be....?", "session_id": 15826, "sequence_id": 50, "annotations": []}
{"role": "student", "content": "x-3", "session_id": 15826, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "Yes!!", "session_id": 15826, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "Now what ideas do you have for possible next steps?", "session_id": 15826, "sequence_id": 53, "annotations": []}
{"role": "student", "content": "uh simplify?", "session_id": 15826, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "Yeah! :)", "session_id": 15826, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "And how would you go about doing that?", "session_id": 15826, "sequence_id": 56, "annotations": []}
{"role": "student", "content": "https://example.com not sure actually. normally, i'd just cancel out the number that's the same or opposite of it but there's both of those..", "session_id": 15826, "sequence_id": 57, "annotations": [{"pii_type": "URL", "surrogate": "https://example.com", "start": 0, "end": 19}]}
{"role": "volunteer", "content": "Okay so try thinking about it like this.... if you had something simple like 1/5 + 2/5 how would you simplify that?", "session_id": 15826, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "If the denominators are the same we can just add right?", "session_id": 15826, "sequence_id": 59, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 15826, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "so then what happens is if you have one fraction equal to another fraction with the same denominator then the numerators must be equal right?", "session_id": 15826, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "like if I had something simple like x/5 = y/5 then the x and y would be equal right?", "session_id": 15826, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "So I know there's a lot more going on here, but we could apply the same idea", "session_id": 15826, "sequence_id": 63, "annotations": []}
{"role": "student", "content": "I'm so sorry, i'm still a little lost...:(", "session_id": 15826, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "Okay I'll try breaking it down a bit simpler, where did you first start feeling a little lost and I'll go back to there", "session_id": 15826, "sequence_id": 65, "annotations": []}
{"role": "student", "content": "probably the message after my last response", "session_id": 15826, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "Okay cool", "session_id": 15826, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "okay let's start here, if I have x/5 and y/5 in what I just drew out we can agree that x and y will be equal right?", "session_id": 15826, "sequence_id": 68, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 15826, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "Great, so now if I take it a step further and add more stuff to the numerator the two expressions would still be equal right?", "session_id": 15826, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "like the x+1 and the y-3", "session_id": 15826, "sequence_id": 71, "annotations": []}
{"role": "student", "content": "?", "session_id": 15826, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "So they have the same denominator right? So if those expressions are equal what also must be equal?", "session_id": 15826, "sequence_id": 73, "annotations": []}
{"role": "student", "content": "the numerator?", "session_id": 15826, "sequence_id": 74, "annotations": []}
{"role": "volunteer", "content": "Exactly!", "session_id": 15826, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "So in your original question, if all of your terms have the same denominator and you simplified the one on the left by adding it....what must be the same?", "session_id": 15826, "sequence_id": 76, "annotations": []}
{"role": "student", "content": "the numerator...would it be x-3", "session_id": 15826, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "Yep it would be the numerator! So you'd have the (x-1)(x-3) + (x-2)(x+3) = -(1-2x)(x-3) expression", "session_id": 15826, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "does it make sense how we got there?", "session_id": 15826, "sequence_id": 79, "annotations": []}
{"role": "student", "content": "uh partially...", "session_id": 15826, "sequence_id": 80, "annotations": []}
{"role": "volunteer", "content": "what can I clarify that doesn't quite make sense?", "session_id": 15826, "sequence_id": 81, "annotations": []}
{"role": "student", "content": "Sorry, I'm just trying to think of how x-3 would be the answer still", "session_id": 15826, "sequence_id": 82, "annotations": []}
{"role": "volunteer", "content": "like the denominator", "session_id": 15826, "sequence_id": 83, "annotations": []}
{"role": "volunteer", "content": "?", "session_id": 15826, "sequence_id": 84, "annotations": []}
{"role": "student", "content": "for the numerator part", "session_id": 15826, "sequence_id": 85, "annotations": []}
{"role": "volunteer", "content": "Like why it is still included in the numerator? I'm not sure what you are asking sorry", "session_id": 15826, "sequence_id": 86, "annotations": []}
{"role": "student", "content": "wait wait wait is this the numerator answer?", "session_id": 15826, "sequence_id": 87, "annotations": []}
{"role": "volunteer", "content": "Yes that's right!", "session_id": 15826, "sequence_id": 88, "annotations": []}
{"role": "volunteer", "content": "since the denominators are the same we ONLY have to solve for the terms in the numerator! :)", "session_id": 15826, "sequence_id": 89, "annotations": []}
{"role": "student", "content": "so does it just stay like that or does it factor out into something from there?", "session_id": 15826, "sequence_id": 90, "annotations": []}
{"role": "volunteer", "content": "So you would have to factor out the (x-1)(x-3) + (x-2)(x+3) = -(1-2x)(x-3)", "session_id": 15826, "sequence_id": 91, "annotations": []}
{"role": "volunteer", "content": "and then solve for x by simplifying both sides", "session_id": 15826, "sequence_id": 92, "annotations": []}
{"role": "volunteer", "content": "Like the top part I just circled in red is equal to the part you circled", "session_id": 15826, "sequence_id": 93, "annotations": []}
{"role": "volunteer", "content": "Since I believe this problem is looking for the value of x not just an expression for it", "session_id": 15826, "sequence_id": 94, "annotations": []}
{"role": "student", "content": "oh ok", "session_id": 15826, "sequence_id": 95, "annotations": []}
{"role": "student", "content": "how would we factor it out", "session_id": 15826, "sequence_id": 96, "annotations": []}
{"role": "volunteer", "content": "You can use the distributive property on each set of terms and then add the like ones if that makes sense?", "session_id": 15826, "sequence_id": 97, "annotations": []}
{"role": "student", "content": "huh?..", "session_id": 15826, "sequence_id": 98, "annotations": []}
{"role": "volunteer", "content": "Have you talked about the distributive property? I can do a quick example if that would help?", "session_id": 15826, "sequence_id": 99, "annotations": []}
{"role": "student", "content": "I have but it didn't make a ton of sense", "session_id": 15826, "sequence_id": 100, "annotations": []}
{"role": "volunteer", "content": "Okay I'll do a quick example down at the bottom", "session_id": 15826, "sequence_id": 101, "annotations": []}
{"role": "volunteer", "content": "Did the example I just did make sennse?", "session_id": 15826, "sequence_id": 102, "annotations": []}
{"role": "volunteer", "content": "I tried to use different colors, but I can type out an explanation if that helps too", "session_id": 15826, "sequence_id": 103, "annotations": []}
{"role": "student", "content": "yeah it makes sense", "session_id": 15826, "sequence_id": 104, "annotations": []}
{"role": "volunteer", "content": "Yayy! I'm glad", "session_id": 15826, "sequence_id": 105, "annotations": []}
{"role": "volunteer", "content": "Do you want to try the distributive property on your problem and then I can check your work?", "session_id": 15826, "sequence_id": 106, "annotations": []}
{"role": "student", "content": "yeah. is it ok if I do it on my paper irl and then say my answer before I type out what I did if something is wrong", "session_id": 15826, "sequence_id": 107, "annotations": []}
{"role": "volunteer", "content": "Yeah that's totally fine!", "session_id": 15826, "sequence_id": 108, "annotations": []}
{"role": "volunteer", "content": "You can also upload a picture of your work if you want me to check it or if you feel confident and don't need me to check it that's fine too", "session_id": 15826, "sequence_id": 109, "annotations": []}
{"role": "volunteer", "content": "I'm here to help you so whatever is best for you!", "session_id": 15826, "sequence_id": 110, "annotations": []}
{"role": "student", "content": "I'll probably upload it", "session_id": 15826, "sequence_id": 111, "annotations": []}
{"role": "volunteer", "content": "What you have there looks right! Now you just need to do the other side of the equation:(x-1)(x-3) + (x-2)(x+3)", "session_id": 15826, "sequence_id": 112, "annotations": []}
{"role": "student", "content": "wait what??", "session_id": 15826, "sequence_id": 113, "annotations": []}
{"role": "volunteer", "content": "2x^2 -7x + 3 = (x-1)(x-3) + (x-2)(x+3)", "session_id": 15826, "sequence_id": 114, "annotations": []}
{"role": "volunteer", "content": "I didn't see the simplification of the other side, but maybe I missed it?", "session_id": 15826, "sequence_id": 115, "annotations": []}
{"role": "student", "content": "I didn't know there was another thing I needing to do-", "session_id": 15826, "sequence_id": 116, "annotations": []}
{"role": "volunteer", "content": "Oh okay I thought we clarified that earlier, my bad", "session_id": 15826, "sequence_id": 117, "annotations": []}
{"role": "volunteer", "content": "Because if you have the 2x^2 -7x +3 it has to be equal to something to solve for x right?", "session_id": 15826, "sequence_id": 118, "annotations": []}
{"role": "student", "content": "Oh!", "session_id": 15826, "sequence_id": 119, "annotations": []}
{"role": "student", "content": "wait how do I start that...I wrote down the equation but don't know where to start", "session_id": 15826, "sequence_id": 120, "annotations": []}
{"role": "volunteer", "content": "It would be the same as before, you start with distributive property for the terms on the other side. Or did you already do that?", "session_id": 15826, "sequence_id": 121, "annotations": []}
{"role": "student", "content": "uh nope I just have this written down- 2x^2 -7x + 3 = (x-1)(x-3) + (x-2)(x+3)", "session_id": 15826, "sequence_id": 122, "annotations": []}
{"role": "volunteer", "content": "Okay so follow the same process you did before for the (x-1)(x-3) + (x-2)(x+3) stuff", "session_id": 15826, "sequence_id": 123, "annotations": []}
{"role": "volunteer", "content": "where you use the distributive property and then simplify it out", "session_id": 15826, "sequence_id": 124, "annotations": []}
{"role": "student", "content": "ok I'll do that on paper", "session_id": 15826, "sequence_id": 125, "annotations": []}
{"role": "volunteer", "content": "Sounds good!", "session_id": 15826, "sequence_id": 126, "annotations": []}
{"role": "student", "content": "should i simplify my answers down so they're in a shorter solution?", "session_id": 15826, "sequence_id": 127, "annotations": []}
{"role": "volunteer", "content": "What do you mean by shorter solution?", "session_id": 15826, "sequence_id": 128, "annotations": []}
{"role": "volunteer", "content": "Like when you are doing the distributive property?", "session_id": 15826, "sequence_id": 129, "annotations": []}
{"role": "volunteer", "content": "Okay I see it!", "session_id": 15826, "sequence_id": 130, "annotations": []}
{"role": "student", "content": "The bottom circled ones", "session_id": 15826, "sequence_id": 131, "annotations": []}
{"role": "volunteer", "content": "Now you have to move all the terms to one side of the equation and then solve for x using the quadratic formula!", "session_id": 15826, "sequence_id": 132, "annotations": []}
{"role": "volunteer", "content": "We are almost there!", "session_id": 15826, "sequence_id": 133, "annotations": []}
{"role": "student", "content": "uh how do i do that", "session_id": 15826, "sequence_id": 134, "annotations": []}
{"role": "volunteer", "content": "How to move the terms to one side or the quadratic formula part?", "session_id": 15826, "sequence_id": 135, "annotations": []}
{"role": "student", "content": "both", "session_id": 15826, "sequence_id": 136, "annotations": []}
{"role": "volunteer", "content": "Okay for how to move the terms to one side, think about the first problem we did where 10 = x - 5. How did you solve for x there? What did you do to move the 5 term to the other side?", "session_id": 15826, "sequence_id": 137, "annotations": []}
{"role": "student", "content": "add 5", "session_id": 15826, "sequence_id": 138, "annotations": []}
{"role": "student", "content": "so it cancelled out on one side and added 5 to the 10", "session_id": 15826, "sequence_id": 139, "annotations": []}
{"role": "volunteer", "content": "yep exactly so if you wanted to move the x^2 to the other side what would you do", "session_id": 15826, "sequence_id": 140, "annotations": []}
{"role": "volunteer", "content": "And then what about the 5x and the 6?", "session_id": 15826, "sequence_id": 141, "annotations": []}
{"role": "student", "content": "minus the x^2, minus the 5x and minue the 6", "session_id": 15826, "sequence_id": 142, "annotations": []}
{"role": "student", "content": "minus", "session_id": 15826, "sequence_id": 143, "annotations": []}
{"role": "volunteer", "content": "Correct!", "session_id": 15826, "sequence_id": 144, "annotations": []}
{"role": "student", "content": "woah sorry my internet cut for a moment", "session_id": 15826, "sequence_id": 145, "annotations": []}
{"role": "student", "content": "Let me do that on my paper real quick", "session_id": 15826, "sequence_id": 146, "annotations": []}
{"role": "student", "content": "wait", "session_id": 15826, "sequence_id": 147, "annotations": []}
{"role": "student", "content": "oh never mind I was looking at something wrong", "session_id": 15826, "sequence_id": 148, "annotations": []}
{"role": "student", "content": "ok so I moved that over so would I use those equations to find x?", "session_id": 15826, "sequence_id": 149, "annotations": []}
{"role": "volunteer", "content": "Yep you'd use the quadratic formula to find x now unless you want to factor your solution and find x that way", "session_id": 15826, "sequence_id": 150, "annotations": []}
{"role": "volunteer", "content": "Whichever way is easiest for you", "session_id": 15826, "sequence_id": 151, "annotations": []}
{"role": "student", "content": "uh how do I do that-", "session_id": 15826, "sequence_id": 152, "annotations": []}
{"role": "student", "content": "The formula", "session_id": 15826, "sequence_id": 153, "annotations": []}
{"role": "volunteer", "content": "Did you talk about that formula in class?", "session_id": 15826, "sequence_id": 154, "annotations": []}
{"role": "student", "content": "nope", "session_id": 15826, "sequence_id": 155, "annotations": []}
{"role": "volunteer", "content": "Okay then your teacher probably wants you to factor the solution and solve that way instead", "session_id": 15826, "sequence_id": 156, "annotations": []}
{"role": "volunteer", "content": "Do you know how to do that?", "session_id": 15826, "sequence_id": 157, "annotations": []}
{"role": "student", "content": "not very well", "session_id": 15826, "sequence_id": 158, "annotations": []}
{"role": "volunteer", "content": "okay give it your best shot and I'll help you fix it if its not right!", "session_id": 15826, "sequence_id": 159, "annotations": []}
{"role": "student", "content": "uhhh", "session_id": 15826, "sequence_id": 160, "annotations": []}
{"role": "volunteer", "content": "what would your first step be or any ideas about how to solve it?", "session_id": 15826, "sequence_id": 161, "annotations": []}
{"role": "student", "content": "oh wait I do have the quadratic formula", "session_id": 15826, "sequence_id": 162, "annotations": []}
{"role": "student", "content": "I didn't realize", "session_id": 15826, "sequence_id": 163, "annotations": []}
{"role": "volunteer", "content": "Okay you can use that then if you want since its just plugging numbers in", "session_id": 15826, "sequence_id": 164, "annotations": []}
{"role": "student", "content": "uh here's where Im confused though", "session_id": 15826, "sequence_id": 165, "annotations": []}
{"role": "student", "content": "This is my equation: x^2-12x-3=x^2-4x+3", "session_id": 15826, "sequence_id": 166, "annotations": []}
{"role": "volunteer", "content": "wait what", "session_id": 15826, "sequence_id": 167, "annotations": []}
{"role": "volunteer", "content": "I thought you simplified by bringing all of the terms to one side?", "session_id": 15826, "sequence_id": 168, "annotations": []}
{"role": "student", "content": "I only moved the one", "session_id": 15826, "sequence_id": 169, "annotations": []}
{"role": "student", "content": "do I need to move the others too?", "session_id": 15826, "sequence_id": 170, "annotations": []}
{"role": "volunteer", "content": "Yep", "session_id": 15826, "sequence_id": 171, "annotations": []}
{"role": "student", "content": "oh shoot", "session_id": 15826, "sequence_id": 172, "annotations": []}
{"role": "student", "content": "Sorry, that's my mistake", "session_id": 15826, "sequence_id": 173, "annotations": []}
{"role": "volunteer", "content": "It's all good", "session_id": 15826, "sequence_id": 174, "annotations": []}
{"role": "student", "content": "wait how do I do that...x^2-x^2 would be 0 wouldn't it", "session_id": 15826, "sequence_id": 175, "annotations": []}
{"role": "volunteer", "content": "correct you'd have x^2 on one side since 2x^2 - x^2 = 1x^2 and 0 on the other side", "session_id": 15826, "sequence_id": 176, "annotations": []}
{"role": "student", "content": "?", "session_id": 15826, "sequence_id": 177, "annotations": []}
{"role": "volunteer", "content": "I underlined it on the screenshot of your paper", "session_id": 15826, "sequence_id": 178, "annotations": []}
{"role": "student", "content": "oh but here's where I'm lost. I already did one which gave the equation I told you about so wouldn't it be zero or just not exist if I moved the other x^2 over", "session_id": 15826, "sequence_id": 179, "annotations": []}
{"role": "volunteer", "content": "What do you mean you did one?", "session_id": 15826, "sequence_id": 180, "annotations": []}
{"role": "volunteer", "content": "Like you already moved the x^2?", "session_id": 15826, "sequence_id": 181, "annotations": []}
{"role": "volunteer", "content": "Because then yes it would be zero correct", "session_id": 15826, "sequence_id": 182, "annotations": []}
{"role": "student", "content": "Did you see the 1,2,3 on the one paper? I can explain what I mean if you saw them", "session_id": 15826, "sequence_id": 183, "annotations": []}
{"role": "volunteer", "content": "Yeah I see that", "session_id": 15826, "sequence_id": 184, "annotations": []}
{"role": "student", "content": "ok so what I did is I took e.3 and put it into e.1 so I got the x^2-12x-3", "session_id": 15826, "sequence_id": 185, "annotations": []}
{"role": "student", "content": "wait that's wrong", "session_id": 15826, "sequence_id": 186, "annotations": []}
{"role": "volunteer", "content": "where did equation 3 come from?", "session_id": 15826, "sequence_id": 187, "annotations": []}
{"role": "volunteer", "content": "Oh wait nevermind I see", "session_id": 15826, "sequence_id": 188, "annotations": []}
{"role": "volunteer", "content": "So I think you never added equation 2 and 3?", "session_id": 15826, "sequence_id": 189, "annotations": []}
{"role": "student", "content": "not together no", "session_id": 15826, "sequence_id": 190, "annotations": []}
{"role": "volunteer", "content": "Okay start with that", "session_id": 15826, "sequence_id": 191, "annotations": []}
{"role": "volunteer", "content": "I think that was the step you were missing that was throwing you off", "session_id": 15826, "sequence_id": 192, "annotations": []}
{"role": "student", "content": "makes sense", "session_id": 15826, "sequence_id": 193, "annotations": []}
{"role": "student", "content": "2x^2+x+9", "session_id": 15826, "sequence_id": 194, "annotations": []}
{"role": "volunteer", "content": "great that's right", "session_id": 15826, "sequence_id": 195, "annotations": []}
{"role": "volunteer", "content": "now move those terms to the other side where equation 1 is", "session_id": 15826, "sequence_id": 196, "annotations": []}
{"role": "volunteer", "content": "and solve for x", "session_id": 15826, "sequence_id": 197, "annotations": []}
{"role": "student", "content": "0-8x-6", "session_id": 15826, "sequence_id": 198, "annotations": []}
{"role": "student", "content": "wait what-", "session_id": 15826, "sequence_id": 199, "annotations": []}
{"role": "student", "content": "I don't think that's right..", "session_id": 15826, "sequence_id": 200, "annotations": []}
{"role": "volunteer", "content": "No that's right", "session_id": 15826, "sequence_id": 201, "annotations": []}
{"role": "student", "content": "oh", "session_id": 15826, "sequence_id": 202, "annotations": []}
{"role": "volunteer", "content": "You have -8x - 6 = 0", "session_id": 15826, "sequence_id": 203, "annotations": []}
{"role": "volunteer", "content": "which you can solve for x", "session_id": 15826, "sequence_id": 204, "annotations": []}
{"role": "volunteer", "content": "So what would x be then?", "session_id": 15826, "sequence_id": 205, "annotations": []}
{"role": "student", "content": "-0.75?", "session_id": 15826, "sequence_id": 206, "annotations": []}
{"role": "volunteer", "content": "Yes, let's go!!!", "session_id": 15826, "sequence_id": 207, "annotations": []}
{"role": "volunteer", "content": "Great job persevering through that one!", "session_id": 15826, "sequence_id": 208, "annotations": []}
{"role": "student", "content": "Almost cried twice haha but would've been worth it", "session_id": 15826, "sequence_id": 209, "annotations": []}
{"role": "volunteer", "content": "Proud of you!", "session_id": 15826, "sequence_id": 210, "annotations": []}
{"role": "student", "content": "any way we could go through at least #3?", "session_id": 15826, "sequence_id": 211, "annotations": []}
{"role": "volunteer", "content": "Yep, I have a little time left - about 15 more minutes. Why don't you try to work through this one using the skills we worked on in the last one and I can help you when you get stuck?", "session_id": 15826, "sequence_id": 212, "annotations": []}
{"role": "student", "content": "oh uh-", "session_id": 15826, "sequence_id": 213, "annotations": []}
{"role": "volunteer", "content": "So what was our very first step for the last problem?", "session_id": 15826, "sequence_id": 214, "annotations": []}
{"role": "student", "content": "common denominator", "session_id": 15826, "sequence_id": 215, "annotations": []}
{"role": "volunteer", "content": "Great so any ideas for the common denominator here?", "session_id": 15826, "sequence_id": 216, "annotations": []}
{"role": "student", "content": "um", "session_id": 15826, "sequence_id": 217, "annotations": []}
{"role": "volunteer", "content": "just give it your best guess", "session_id": 15826, "sequence_id": 218, "annotations": []}
{"role": "student", "content": "all of them are letters, I don't know-", "session_id": 15826, "sequence_id": 219, "annotations": []}
{"role": "volunteer", "content": "pretend they are numbers, say 3, 7, 4", "session_id": 15826, "sequence_id": 220, "annotations": []}
{"role": "volunteer", "content": "what would you do then to find a common denominator?", "session_id": 15826, "sequence_id": 221, "annotations": []}
{"role": "student", "content": "uh I don't remember how to find thst", "session_id": 15826, "sequence_id": 222, "annotations": []}
{"role": "student", "content": "that", "session_id": 15826, "sequence_id": 223, "annotations": []}
{"role": "volunteer", "content": "okay that's find you'd just multiply the denominators together", "session_id": 15826, "sequence_id": 224, "annotations": []}
{"role": "volunteer", "content": "so in the case with the numbers it would 3 x 7 x 4", "session_id": 15826, "sequence_id": 225, "annotations": []}
{"role": "volunteer", "content": "or in your case with the letters it would be....?", "session_id": 15826, "sequence_id": 226, "annotations": []}
{"role": "student", "content": "rmj?", "session_id": 15826, "sequence_id": 227, "annotations": []}
{"role": "volunteer", "content": "yes!!", "session_id": 15826, "sequence_id": 228, "annotations": []}
{"role": "volunteer", "content": "Now go one by one and fill in the numerator for each fraction with the two letters that are missing", "session_id": 15826, "sequence_id": 229, "annotations": []}
{"role": "volunteer", "content": "so for 1/r for example you are missing m and j right?", "session_id": 15826, "sequence_id": 230, "annotations": []}
{"role": "student", "content": "yes", "session_id": 15826, "sequence_id": 231, "annotations": []}
{"role": "volunteer", "content": "great, now do the other two yourself!", "session_id": 15826, "sequence_id": 232, "annotations": []}
{"role": "student", "content": "would it be rj/rmj and rm/rmj", "session_id": 15826, "sequence_id": 233, "annotations": []}
{"role": "volunteer", "content": "yes, exactly!", "session_id": 15826, "sequence_id": 234, "annotations": []}
{"role": "volunteer", "content": "and all the terms again have the same denominator so what should we do next?", "session_id": 15826, "sequence_id": 235, "annotations": []}
{"role": "student", "content": "factor the numerators", "session_id": 15826, "sequence_id": 236, "annotations": []}
{"role": "volunteer", "content": "you got it!", "session_id": 15826, "sequence_id": 237, "annotations": []}
{"role": "student", "content": "how would I do that with letters", "session_id": 15826, "sequence_id": 238, "annotations": []}
{"role": "volunteer", "content": "Great question! I would recommend moving all of the terms with the letter you want to solve for (m) in this case to one side", "session_id": 15826, "sequence_id": 239, "annotations": []}
{"role": "student", "content": "so add rn to mj?", "session_id": 15826, "sequence_id": 240, "annotations": []}
{"role": "student", "content": "rm*", "session_id": 15826, "sequence_id": 241, "annotations": []}
{"role": "volunteer", "content": "it would be subtract but right idea!", "session_id": 15826, "sequence_id": 242, "annotations": []}
{"role": "student", "content": "would it be r m^2 j?", "session_id": 15826, "sequence_id": 243, "annotations": []}
{"role": "volunteer", "content": "not quite", "session_id": 15826, "sequence_id": 244, "annotations": []}
{"role": "volunteer", "content": "let me write it out and see if that makes it clearer", "session_id": 15826, "sequence_id": 245, "annotations": []}
{"role": "volunteer", "content": "what can I factor out of the left side?", "session_id": 15826, "sequence_id": 246, "annotations": []}
{"role": "student", "content": "m", "session_id": 15826, "sequence_id": 247, "annotations": []}
{"role": "volunteer", "content": "Yes!", "session_id": 15826, "sequence_id": 248, "annotations": []}
{"role": "volunteer", "content": "So now we have m times what on the left side?", "session_id": 15826, "sequence_id": 249, "annotations": []}
{"role": "student", "content": "uh j-r?", "session_id": 15826, "sequence_id": 250, "annotations": []}
{"role": "volunteer", "content": "on the left", "session_id": 15826, "sequence_id": 251, "annotations": []}
{"role": "volunteer", "content": "those are the correct letters but it will be plus or minus", "session_id": 15826, "sequence_id": 252, "annotations": []}
{"role": "volunteer", "content": "so which one?", "session_id": 15826, "sequence_id": 253, "annotations": []}
{"role": "student", "content": "minus?", "session_id": 15826, "sequence_id": 254, "annotations": []}
{"role": "volunteer", "content": "Yep!", "session_id": 15826, "sequence_id": 255, "annotations": []}
{"role": "volunteer", "content": "Now we need to get rid of that (j-r) term so m is by itself", "session_id": 15826, "sequence_id": 256, "annotations": []}
{"role": "volunteer", "content": "Any ideas? Hint: what do we do to cancel out multiplication?", "session_id": 15826, "sequence_id": 257, "annotations": []}
{"role": "volunteer", "content": "Another hint -> try treating that term as just a number like 5", "session_id": 15826, "sequence_id": 258, "annotations": []}
{"role": "volunteer", "content": "What would we do to get rid of it?", "session_id": 15826, "sequence_id": 259, "annotations": []}
{"role": "student", "content": "Hello!", "session_id": 15860, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "Hello :) are you in need of any help?", "session_id": 15860, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "yes one problem in my pre-calc work! i'll post it on the screen", "session_id": 15860, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "Ok :) I should be able to help", "session_id": 15860, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "thank you!", "session_id": 15860, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "Ok I see it :)", "session_id": 15860, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "So what are you looking for help with?", "session_id": 15860, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "I want to solve a first, and then double check for me if that works because this is my first time learning the topic 1.4 on precalc", "session_id": 15860, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "Ok no problem :) ill wait for you", "session_id": 15860, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "wait oops lemme erase that", "session_id": 15860, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "is this correct?", "session_id": 15860, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "I would have a look at salute minimum again", "session_id": 15860, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "Absalute*", "session_id": 15860, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "I can\u2019t spell", "session_id": 15860, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "But, could you tell me what an absolute minimum is?", "session_id": 15860, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "wait your right lemme fix it, its the lowest point.", "session_id": 15860, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "Good! No problem :)", "session_id": 15860, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "is it that?", "session_id": 15860, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "Yes that looks a lot better :)", "session_id": 15860, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "alr lemme place that in", "session_id": 15860, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "Now you gotta identify the rest of the max and min values :)", "session_id": 15860, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "alr imma try that out", "session_id": 15860, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "is it that?", "session_id": 15860, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "is there a realitive maximum all the way from -3 to 0? and 3 to 5?", "session_id": 15860, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "oh sorry minimum", "session_id": 15860, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "can you tell me what a realitive minimum is?", "session_id": 15860, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "a relative minimum where the graph switches from decreasing to increasing", "session_id": 15860, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "good, that's good, however typically it isnt an interval, and ehre it isnt", "session_id": 15860, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "a realitive minimum means that it just has to be the lowest point compared to what is next to it", "session_id": 15860, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "so how many minimums does this graph have to you?", "session_id": 15860, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "is there two?", "session_id": 15860, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "good :)", "session_id": 15860, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "and now it's asking at what X coordinate they are at", "session_id": 15860, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "so where would they be located?", "session_id": 15860, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "-3 and 3", "session_id": 15860, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "good :) and that's what you would put there :)", "session_id": 15860, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "and now we can look at relative maximums", "session_id": 15860, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "how many maximums do you see?", "session_id": 15860, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "One?", "session_id": 15860, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "can you tell me what a maximum is?", "session_id": 15860, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "highest point of a function", "session_id": 15860, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "so theres two?", "session_id": 15860, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "good, and then realative maximum is highest to all of the realitive points, correct?", "session_id": 15860, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "meaning the ones around it'sself", "session_id": 15860, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "right/", "session_id": 15860, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "?*", "session_id": 15860, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "so its the one in blue i circled ?", "session_id": 15860, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "close, you have 2, but i think i see 3", "session_id": 15860, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "what else is highest compared to the points around it?", "session_id": 15860, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "right there?", "session_id": 15860, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "not quite, because the function continues above it", "session_id": 15860, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "but what if we look at x=0?", "session_id": 15860, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "was js abt to say", "session_id": 15860, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "you see how it's the highest point compared to everything around it?", "session_id": 15860, "sequence_id": 53, "annotations": []}
{"role": "student", "content": "so -4, 0, and 5", "session_id": 15860, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "good ! that is what i got :)", "session_id": 15860, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "do you understand why that is then?", "session_id": 15860, "sequence_id": 56, "annotations": []}
{"role": "student", "content": "yep that makes so much sense!", "session_id": 15860, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "good :)", "session_id": 15860, "sequence_id": 58, "annotations": []}
{"role": "student", "content": "thank you so much!", "session_id": 15860, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "no problem!", "session_id": 15860, "sequence_id": 60, "annotations": []}
{"role": "student", "content": "alr have a great day!:)", "session_id": 15860, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "you as well!", "session_id": 15860, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "Hi Chloe", "session_id": 15914, "sequence_id": 0, "annotations": [{"pii_type": "PERSON", "surrogate": "Chloe", "start": 3, "end": 8}]}
{"role": "student", "content": "Hello! I will explain in one moment! I'm going to attach an image.", "session_id": 15914, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "Ok.", "session_id": 15914, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "I see what you uploaded.", "session_id": 15914, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "Okay, so I need help solving this question. This is a question in ADV but that subject wasn't available on Tutor Provider, so I chose statistics. To give a tiny backstory, my classmates and I were given an overnight to solve this question, but I still don't have an answer. Today, she will put us in groups, to answer the question, which will give me a panic attack. So, I want to finish it before entering class! <3", "session_id": 15914, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "What does \"ADV\" stand for?", "session_id": 15914, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "ADV", "session_id": 15914, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "Or aqr math class", "session_id": 15914, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "Did you learn how to solve \"simultaneous equations\" ?", "session_id": 15914, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "Umm, can you give an example?", "session_id": 15914, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "For example: x+2y+z=0, 3x-5y-z=2, 3+6y+7z=-9", "session_id": 15914, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "Uh, I recognize the equations but I don't think my teachers have labeled them as \"simultaneous equations\" just yet", "session_id": 15914, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "I'll just say no", "session_id": 15914, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "OK. Can you give me 10 minutes to see if I can solve? And then I'll explain.", "session_id": 15914, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "Of course!", "session_id": 15914, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "Look at the 4th deck. What do you see?", "session_id": 15914, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "A polar bear equals three zebras", "session_id": 15914, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "Correct. Now look at the third deck.", "session_id": 15914, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "How many zebras are on the left?", "session_id": 15914, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "6", "session_id": 15914, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "And if 1 bear = 3 zebras, how many bears should you have on the right-hand side?", "session_id": 15914, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "My bad. We need to put seals (not bears) on the 3rd deck.", "session_id": 15914, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "No worries, I went through that too", "session_id": 15914, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "OK. I'll keep solving...", "session_id": 15914, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "Okay!", "session_id": 15914, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "It's a trial-and-error problem. We try different things until it's solved. If you're not in a rush, you can leave the session open, and I'll keep trying. It's an interesting problem.", "session_id": 15914, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "Yeah of course!", "session_id": 15914, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "It is very intresting", "session_id": 15914, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "It's a long problem, but I think I solved it.", "session_id": 15914, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "We'll use a bit of algebra.", "session_id": 15914, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "Are you still there?", "session_id": 15914, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "SO sorry! My computer died for a second", "session_id": 15914, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "OK. I can explain if you like.", "session_id": 15914, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "im so sorry, it died again", "session_id": 15914, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "Your battery is running out?", "session_id": 15914, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "Before you do explain, can I ask a question? I think i may have a method as well", "session_id": 15914, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "Umm, not exactly. it's on my charger, but the charger just kept falling out of the outlet", "session_id": 15914, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "It should be good now!", "session_id": 15914, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "OK. Ask your question.", "session_id": 15914, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "So, I think the seals may be a fraction instead of a whole number itself. In the second row, two kangaroos and four seals somehow equals two polarpears. I thought if I divided 6/2 I might get somehwere, but I'm not sure", "session_id": 15914, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "I guess that's not a question", "session_id": 15914, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "Each animal has a different weight. Looking at the different decks, it would make sense that the elephant is the heaviest, correct?", "session_id": 15914, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 15914, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "So let's give the elephant a \"weight\", say 24 units.", "session_id": 15914, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "24 is convenient, because this number can be divided many different ways. OK so far?", "session_id": 15914, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "Okay!", "session_id": 15914, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "Now look at deck 4. If one elements = 24, what is the weight of a bear?", "session_id": 15914, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "... one *elephant", "session_id": 15914, "sequence_id": 47, "annotations": []}
{"role": "student", "content": "is this where i divide?", "session_id": 15914, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "12?", "session_id": 15914, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "Good. So far, we have elephant weighs \"24\" and bear \"12\".", "session_id": 15914, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "I meant deck 5, by the way. Now look at deck 4. 1 bear = 3 zebras, correct?", "session_id": 15914, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "yes", "session_id": 15914, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "So if the bear weighs \"12\", how much does a zebra weigh?", "session_id": 15914, "sequence_id": 53, "annotations": []}
{"role": "student", "content": "4", "session_id": 15914, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "Perfect. I'm writing this on the board.", "session_id": 15914, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "Now we look at deck 1.", "session_id": 15914, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "Let's label the animals: E = elephant, B = bear, S = seal, Z = zebra, K = kangaroo. OK so far?", "session_id": 15914, "sequence_id": 57, "annotations": []}
{"role": "student", "content": "ok!", "session_id": 15914, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "We'll write an equation for deck 1 that includes the weight of all animals on that deck.", "session_id": 15914, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "How many elephants are on deck 1?", "session_id": 15914, "sequence_id": 60, "annotations": []}
{"role": "student", "content": "1", "session_id": 15914, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "I'll write this as 1E. How many bears?", "session_id": 15914, "sequence_id": 62, "annotations": []}
{"role": "student", "content": "1", "session_id": 15914, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "And one the left side, we also have 2S, correct?", "session_id": 15914, "sequence_id": 64, "annotations": []}
{"role": "student", "content": "yes", "session_id": 15914, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "Then on the right side, we have 6Z + 2K, right?", "session_id": 15914, "sequence_id": 66, "annotations": []}
{"role": "student", "content": "yes", "session_id": 15914, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "So we put 6Z+2K to the right of the equal sign. Now we plug in the known weights of the animals.", "session_id": 15914, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "Now don't know S and K yet, so I write these in purple color.", "session_id": 15914, "sequence_id": 69, "annotations": []}
{"role": "student", "content": "but we dont know the kangroos weight yet", "session_id": 15914, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "Yes. That's why we leave their weights as variables (S and K in purple).", "session_id": 15914, "sequence_id": 71, "annotations": []}
{"role": "student", "content": "ah ok", "session_id": 15914, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "Now let's do the math. On the left, we have 1(24)+1(12) = ?", "session_id": 15914, "sequence_id": 73, "annotations": []}
{"role": "student", "content": "36", "session_id": 15914, "sequence_id": 74, "annotations": []}
{"role": "volunteer", "content": "Good. And on the right, 6(4) = ?", "session_id": 15914, "sequence_id": 75, "annotations": []}
{"role": "student", "content": "24", "session_id": 15914, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "To make things more tidy, we'll subtract 24 from both sides, then subtract 2S from both sides.", "session_id": 15914, "sequence_id": 77, "annotations": []}
{"role": "student", "content": "wait how did you get 6(4)? thats 6 zebras and 2 kangaroos", "session_id": 15914, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "Yes. 1 zebra weighs 4 units, correct?", "session_id": 15914, "sequence_id": 79, "annotations": []}
{"role": "student", "content": "yes?", "session_id": 15914, "sequence_id": 80, "annotations": []}
{"role": "volunteer", "content": "Look at deck 1. I'll write the weights above each animal.", "session_id": 15914, "sequence_id": 81, "annotations": []}
{"role": "volunteer", "content": "On the right, we have 6 zebras. Each zebra weighs 4 units, so 6(4)=24 is the total weight of zebras on deck 1.", "session_id": 15914, "sequence_id": 82, "annotations": []}
{"role": "student", "content": "but then we'd be multiplying the zebra with itself", "session_id": 15914, "sequence_id": 83, "annotations": []}
{"role": "volunteer", "content": "I'll add a picture to explain.", "session_id": 15914, "sequence_id": 84, "annotations": []}
{"role": "volunteer", "content": "Do you see the picture I uploaded showing deck 1?", "session_id": 15914, "sequence_id": 85, "annotations": []}
{"role": "student", "content": "yes", "session_id": 15914, "sequence_id": 86, "annotations": []}
{"role": "volunteer", "content": "Each elephant weighs 24. We have 1 elephant, so the total weight of elephants is 1(24), correct?", "session_id": 15914, "sequence_id": 87, "annotations": []}
{"role": "student", "content": "yes", "session_id": 15914, "sequence_id": 88, "annotations": []}
{"role": "student", "content": "ohhh i think i get it now", "session_id": 15914, "sequence_id": 89, "annotations": []}
{"role": "volunteer", "content": "Next, we add the weight of one bear = 1(12).", "session_id": 15914, "sequence_id": 90, "annotations": []}
{"role": "student", "content": "yes", "session_id": 15914, "sequence_id": 91, "annotations": []}
{"role": "volunteer", "content": "We don't know the seal's weight, so we write it as 2S.", "session_id": 15914, "sequence_id": 92, "annotations": []}
{"role": "volunteer", "content": "OK so far?", "session_id": 15914, "sequence_id": 93, "annotations": []}
{"role": "student", "content": "yes!", "session_id": 15914, "sequence_id": 94, "annotations": []}
{"role": "volunteer", "content": "After doing the math, we end up with 12 = 2K-2S as our last equation, right?", "session_id": 15914, "sequence_id": 95, "annotations": []}
{"role": "student", "content": "after subtracting 24 from boh sides?", "session_id": 15914, "sequence_id": 96, "annotations": []}
{"role": "volunteer", "content": "Yes, After subracting 24 from both sides, and also subtracting 2S from both sides.", "session_id": 15914, "sequence_id": 97, "annotations": []}
{"role": "student", "content": "thats 36 + 2s = 24 + 2k\n         -24          -24\n        12 + 2s = 2k", "session_id": 15914, "sequence_id": 98, "annotations": []}
{"role": "student", "content": "where would 25 come in", "session_id": 15914, "sequence_id": 99, "annotations": []}
{"role": "volunteer", "content": "It's not \"25\". It's 2*S or 2S.", "session_id": 15914, "sequence_id": 100, "annotations": []}
{"role": "student", "content": "ohhh", "session_id": 15914, "sequence_id": 101, "annotations": []}
{"role": "volunteer", "content": "I'll write the S more clearly.", "session_id": 15914, "sequence_id": 102, "annotations": []}
{"role": "student", "content": "No it's fine! i wasn't looking at the board", "session_id": 15914, "sequence_id": 103, "annotations": []}
{"role": "volunteer", "content": "There are just a couple of steps left to do.", "session_id": 15914, "sequence_id": 104, "annotations": []}
{"role": "student", "content": "so that's 36 + 2s = 24 + 2k\n-24       -24\n12 + 2s = 2k\n     -2s       -2s\n12 = k?\nor 12 = 2k + s?", "session_id": 15914, "sequence_id": 105, "annotations": []}
{"role": "student", "content": "Also, i have to use the restroom. i will return in a couple of minutes", "session_id": 15914, "sequence_id": 106, "annotations": []}
{"role": "volunteer", "content": "OK.", "session_id": 15914, "sequence_id": 107, "annotations": []}
{"role": "volunteer", "content": "12 + 2S = 2K is correct. Subtract 2S from both sides, we get: 12+2S-2S = 2K-2S => 12 = 2K-2S.", "session_id": 15914, "sequence_id": 108, "annotations": []}
{"role": "student", "content": "Ah okay", "session_id": 15914, "sequence_id": 109, "annotations": []}
{"role": "student", "content": "and i'm back!", "session_id": 15914, "sequence_id": 110, "annotations": []}
{"role": "volunteer", "content": "Lastly, we can factor out \"2\" from the last equation. So divide both sides by 2.", "session_id": 15914, "sequence_id": 111, "annotations": []}
{"role": "student", "content": "12 = 2k - 2s\n/2               /2\n6  = k-s", "session_id": 15914, "sequence_id": 112, "annotations": []}
{"role": "volunteer", "content": "Yes. Let's call that Equation (1)", "session_id": 15914, "sequence_id": 113, "annotations": []}
{"role": "student", "content": "ok", "session_id": 15914, "sequence_id": 114, "annotations": []}
{"role": "volunteer", "content": "Next, we do the same for deck 2. Do you see the uploaded picture?", "session_id": 15914, "sequence_id": 115, "annotations": []}
{"role": "student", "content": "yes", "session_id": 15914, "sequence_id": 116, "annotations": []}
{"role": "volunteer", "content": "For example, there's 1 elephant on the left, so 1(24), etc.", "session_id": 15914, "sequence_id": 117, "annotations": []}
{"role": "student", "content": "yes", "session_id": 15914, "sequence_id": 118, "annotations": []}
{"role": "volunteer", "content": "Now let's do the math and simplify.", "session_id": 15914, "sequence_id": 119, "annotations": []}
{"role": "volunteer", "content": "4(12) = ?", "session_id": 15914, "sequence_id": 120, "annotations": []}
{"role": "student", "content": "48", "session_id": 15914, "sequence_id": 121, "annotations": []}
{"role": "volunteer", "content": "Let's subtract 24 from both sides.", "session_id": 15914, "sequence_id": 122, "annotations": []}
{"role": "student", "content": "2k + 4s = 24", "session_id": 15914, "sequence_id": 123, "annotations": []}
{"role": "volunteer", "content": "Right. Now divide both sides by 2 to simplify.", "session_id": 15914, "sequence_id": 124, "annotations": []}
{"role": "student", "content": "wouldn't it be 12 = k + 4s?", "session_id": 15914, "sequence_id": 125, "annotations": []}
{"role": "student", "content": "ohhhh nevermind", "session_id": 15914, "sequence_id": 126, "annotations": []}
{"role": "student", "content": "i see", "session_id": 15914, "sequence_id": 127, "annotations": []}
{"role": "student", "content": "4/2 is 2 lol", "session_id": 15914, "sequence_id": 128, "annotations": []}
{"role": "volunteer", "content": "OK. We now have our Equation 2.", "session_id": 15914, "sequence_id": 129, "annotations": []}
{"role": "student", "content": "yes", "session_id": 15914, "sequence_id": 130, "annotations": []}
{"role": "volunteer", "content": "We're going to solve Equations 1 and 2 to get the values of K and S.", "session_id": 15914, "sequence_id": 131, "annotations": []}
{"role": "student", "content": "ok", "session_id": 15914, "sequence_id": 132, "annotations": []}
{"role": "volunteer", "content": "To do that, we'll take Equation 1 and subtract Equation 2.", "session_id": 15914, "sequence_id": 133, "annotations": []}
{"role": "volunteer", "content": "So on the left, we get 6-12 = ?", "session_id": 15914, "sequence_id": 134, "annotations": []}
{"role": "student", "content": "-6", "session_id": 15914, "sequence_id": 135, "annotations": []}
{"role": "volunteer", "content": "Right.", "session_id": 15914, "sequence_id": 136, "annotations": []}
{"role": "volunteer", "content": "On the right, we get K-K, so the K cancels out.", "session_id": 15914, "sequence_id": 137, "annotations": []}
{"role": "volunteer", "content": "Finally, we get -6 = -3S. Can you solve for S = ?", "session_id": 15914, "sequence_id": 138, "annotations": []}
{"role": "student", "content": "2 = 1?", "session_id": 15914, "sequence_id": 139, "annotations": []}
{"role": "student", "content": "i divided both sides by -3", "session_id": 15914, "sequence_id": 140, "annotations": []}
{"role": "volunteer", "content": "Yes. -6 = -3S.", "session_id": 15914, "sequence_id": 141, "annotations": []}
{"role": "volunteer", "content": "Divide both sides by -3, you get -6/(-3) = -3S/(-3) => 2 = S.", "session_id": 15914, "sequence_id": 142, "annotations": []}
{"role": "student", "content": "shouldn't s = 1?", "session_id": 15914, "sequence_id": 143, "annotations": []}
{"role": "volunteer", "content": "6/3 = ?", "session_id": 15914, "sequence_id": 144, "annotations": []}
{"role": "student", "content": "ohhhhh", "session_id": 15914, "sequence_id": 145, "annotations": []}
{"role": "student", "content": "i forgot the 3 cancels out", "session_id": 15914, "sequence_id": 146, "annotations": []}
{"role": "volunteer", "content": "Yes. So 1 seal weighs S = 2, correct?", "session_id": 15914, "sequence_id": 147, "annotations": []}
{"role": "student", "content": "yes", "session_id": 15914, "sequence_id": 148, "annotations": []}
{"role": "volunteer", "content": "Now we can balance Deck 3 and find the number of seals. Do you see the picture?", "session_id": 15914, "sequence_id": 149, "annotations": []}
{"role": "student", "content": "yes", "session_id": 15914, "sequence_id": 150, "annotations": []}
{"role": "volunteer", "content": "There are 6 zebras on the right, each weighing \"4\". So 6(4).", "session_id": 15914, "sequence_id": 151, "annotations": []}
{"role": "volunteer", "content": "There's 1 bear on the right = 1(12). Let \"X\" be the number of seals, each weighing 2, so X(2).", "session_id": 15914, "sequence_id": 152, "annotations": []}
{"role": "student", "content": "ok", "session_id": 15914, "sequence_id": 153, "annotations": []}
{"role": "volunteer", "content": "We don't know \"X\" yet. That's what we want to find out.", "session_id": 15914, "sequence_id": 154, "annotations": []}
{"role": "student", "content": "yes", "session_id": 15914, "sequence_id": 155, "annotations": []}
{"role": "volunteer", "content": "Let's do the math.", "session_id": 15914, "sequence_id": 156, "annotations": []}
{"role": "volunteer", "content": "6(4)=?", "session_id": 15914, "sequence_id": 157, "annotations": []}
{"role": "student", "content": "24", "session_id": 15914, "sequence_id": 158, "annotations": []}
{"role": "volunteer", "content": "We can subtract 12 from both sides to simplify.", "session_id": 15914, "sequence_id": 159, "annotations": []}
{"role": "volunteer", "content": "Can you find X = ?", "session_id": 15914, "sequence_id": 160, "annotations": []}
{"role": "student", "content": "6 = x !!", "session_id": 15914, "sequence_id": 161, "annotations": []}
{"role": "volunteer", "content": "Exactly. It takes 6 seals to balance deck 3. I'll show you the final picture.", "session_id": 15914, "sequence_id": 162, "annotations": []}
{"role": "volunteer", "content": "Do you see it?", "session_id": 15914, "sequence_id": 163, "annotations": []}
{"role": "student", "content": "yes!", "session_id": 15914, "sequence_id": 164, "annotations": []}
{"role": "volunteer", "content": "That completes the solution, and I'm running out of time. Any quick question before I go?", "session_id": 15914, "sequence_id": 165, "annotations": []}
{"role": "student", "content": "Thank you so much !!!", "session_id": 15914, "sequence_id": 166, "annotations": []}
{"role": "student", "content": "How do I explain to my teacher that i know the answer", "session_id": 15914, "sequence_id": 167, "annotations": []}
{"role": "student", "content": "She'll think i used ai", "session_id": 15914, "sequence_id": 168, "annotations": []}
{"role": "volunteer", "content": "You can explain the steps that were used to solve the problem.", "session_id": 15914, "sequence_id": 169, "annotations": []}
{"role": "volunteer", "content": "We started by assuming 1 Elephant weighs \"24\". Using that, we found Equations 1 and 2. And finally we solved for S = 2. And we need 6 seals to balance Deck 3.", "session_id": 15914, "sequence_id": 170, "annotations": []}
{"role": "student", "content": "Okayy. Thank you! Were you my tutor last time?", "session_id": 15914, "sequence_id": 171, "annotations": []}
{"role": "student", "content": "Nevermind! Thank you! Have a nice day!", "session_id": 15914, "sequence_id": 172, "annotations": []}
{"role": "volunteer", "content": "Bye.", "session_id": 15914, "sequence_id": 173, "annotations": []}
{"role": "volunteer", "content": "Hi", "session_id": 15916, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "Hi there", "session_id": 15916, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "I am working on a problem for calculus. I am stuck however on simplifing.", "session_id": 15916, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "This is a quotient problem.", "session_id": 15916, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "The question asks the derivative of f(x) at x=2 right?", "session_id": 15916, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "I see how to get u'v-v'u/v^2", "session_id": 15916, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "right", "session_id": 15916, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "I don't see how to get from the first step (setting up the equation) to the the simplified form (x+1)-(x+1)", "session_id": 15916, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "When I do it I get (1/x+1)-1/x+1)", "session_id": 15916, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "ok i'll write down the steps, you do understand how they got the derivative right?", "session_id": 15916, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "yes", "session_id": 15916, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "ok we'll start there", "session_id": 15916, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "now we just need to look at the numerator for now", "session_id": 15916, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "ok", "session_id": 15916, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "ok", "session_id": 15916, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "do you understand this step?", "session_id": 15916, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "yes.", "session_id": 15916, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "so now we're done with the simplification", "session_id": 15916, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "the question asks the value of this at x=2", "session_id": 15916, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "right.", "session_id": 15916, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "so just substitute 2 in this", "session_id": 15916, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "and that's your answer", "session_id": 15916, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "any confusions?", "session_id": 15916, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "I was making this way harder than it is.", "session_id": 15916, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "i see, you understand it now right?", "session_id": 15916, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "yes. thank you", "session_id": 15916, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "ok great", "session_id": 15916, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "hey Sophia! how can i help?", "session_id": 15979, "sequence_id": 0, "annotations": [{"pii_type": "PERSON", "surrogate": "Sophia", "start": 4, "end": 10}]}
{"role": "student", "content": "I need help in that", "session_id": 15979, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "sure!", "session_id": 15979, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "Yay!", "session_id": 15979, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "ok so lets start with number 1", "session_id": 15979, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "5+ root 19", "session_id": 15979, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "what do u think is the answer?", "session_id": 15979, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "wait sry before that, how much do u know abt adding rational and irrational numbers", "session_id": 15979, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "Can I use my calculator", "session_id": 15979, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "you dont need to for this", "session_id": 15979, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "I\u2019m not that good at it", "session_id": 15979, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "Oh okay okay", "session_id": 15979, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "its not asking u for a number, just whether its rational or irrational", "session_id": 15979, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "did u read the explanation it gives u in number 1?", "session_id": 15979, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "i think that'll help", "session_id": 15979, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "Ohh okay", "session_id": 15979, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "I\u2019ll read it right now", "session_id": 15979, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "lmk when ur ready to try number 1", "session_id": 15979, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "ok!", "session_id": 15979, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "Yes!", "session_id": 15979, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "ok! so for 5+ root 19, is tell me whether 5 and root 19 are rational or irrational", "session_id": 15979, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "Irrational?", "session_id": 15979, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "5 is rational or irrational", "session_id": 15979, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "?", "session_id": 15979, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "Rational", "session_id": 15979, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "good!", "session_id": 15979, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "YAY", "session_id": 15979, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "and root 19?", "session_id": 15979, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "Rational", "session_id": 15979, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "think about it. does 19 have a perfect square root?", "session_id": 15979, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "No", "session_id": 15979, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "ok, so....", "session_id": 15979, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "Irrational", "session_id": 15979, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "yes!!", "session_id": 15979, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "\ud83e\udd7a", "session_id": 15979, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "whats wrong?", "session_id": 15979, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "YAY", "session_id": 15979, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "no I just like using that emoji", "session_id": 15979, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "oh lol ok", "session_id": 15979, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "u got it!", "session_id": 15979, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "so when u add 5 and root 19, you get? an irrational or rational number?", "session_id": 15979, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "remember 5 is rational, and root 19 is irrational", "session_id": 15979, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "Uhm", "session_id": 15979, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "Rational", "session_id": 15979, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "look back at the description they gave u in number 1", "session_id": 15979, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "not quite", "session_id": 15979, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "Irrational", "session_id": 15979, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "\ud83d\ude0e", "session_id": 15979, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "yea!", "session_id": 15979, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "YAY", "session_id": 15979, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "why tho", "session_id": 15979, "sequence_id": 50, "annotations": []}
{"role": "student", "content": "Because when u add it up", "session_id": 15979, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "The number", "session_id": 15979, "sequence_id": 52, "annotations": []}
{"role": "student", "content": "Goes on forever", "session_id": 15979, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "technically yea but can u try explaining it the way the worksheet does?", "session_id": 15979, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "cuz ur not always gonna have a calculator to tell u what the answer is", "session_id": 15979, "sequence_id": 55, "annotations": []}
{"role": "student", "content": "Ohh GESS GESS okay I got this", "session_id": 15979, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "yes lock in :)", "session_id": 15979, "sequence_id": 57, "annotations": []}
{"role": "student", "content": "Cause the sum of a rational and irrational number is an irrational number", "session_id": 15979, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "Perfect!!!", "session_id": 15979, "sequence_id": 59, "annotations": []}
{"role": "student", "content": "YAYAY", "session_id": 15979, "sequence_id": 60, "annotations": []}
{"role": "student", "content": "\ud83d\ude0e", "session_id": 15979, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "loving the enthusiasm!", "session_id": 15979, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "alr next one!", "session_id": 15979, "sequence_id": 63, "annotations": []}
{"role": "student", "content": "Yes!", "session_id": 15979, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "is 3/;7 rational or irrational", "session_id": 15979, "sequence_id": 65, "annotations": []}
{"role": "student", "content": "Uhh", "session_id": 15979, "sequence_id": 66, "annotations": []}
{"role": "student", "content": "How do I tell if it\u2019s rational", "session_id": 15979, "sequence_id": 67, "annotations": []}
{"role": "student", "content": "Or", "session_id": 15979, "sequence_id": 68, "annotations": []}
{"role": "student", "content": "Irrational", "session_id": 15979, "sequence_id": 69, "annotations": []}
{"role": "student", "content": "?.", "session_id": 15979, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "a rational number is anything that can be expressed as a fraction", "session_id": 15979, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "and an irrational number cannot be expressed as a fraction", "session_id": 15979, "sequence_id": 72, "annotations": []}
{"role": "student", "content": "Ohhhh", "session_id": 15979, "sequence_id": 73, "annotations": []}
{"role": "student", "content": "So does that make", "session_id": 15979, "sequence_id": 74, "annotations": []}
{"role": "volunteer", "content": "and the numbers in the fraction must be integers", "session_id": 15979, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "so...", "session_id": 15979, "sequence_id": 76, "annotations": []}
{"role": "student", "content": "3/7", "session_id": 15979, "sequence_id": 77, "annotations": []}
{"role": "student", "content": "Is uhm", "session_id": 15979, "sequence_id": 78, "annotations": []}
{"role": "student", "content": "Okay wait guys", "session_id": 15979, "sequence_id": 79, "annotations": []}
{"role": "student", "content": "I need to think", "session_id": 15979, "sequence_id": 80, "annotations": []}
{"role": "volunteer", "content": "wait 5+root 19 is what?", "session_id": 15979, "sequence_id": 81, "annotations": []}
{"role": "student", "content": "Irrational", "session_id": 15979, "sequence_id": 82, "annotations": []}
{"role": "volunteer", "content": "uhuh, and ur line is pointing to what?", "session_id": 15979, "sequence_id": 83, "annotations": []}
{"role": "student", "content": "LOL whoopsies", "session_id": 15979, "sequence_id": 84, "annotations": []}
{"role": "volunteer", "content": "lol", "session_id": 15979, "sequence_id": 85, "annotations": []}
{"role": "volunteer", "content": "3/7? is it a fraction?", "session_id": 15979, "sequence_id": 86, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 15979, "sequence_id": 87, "annotations": []}
{"role": "student", "content": "RIGTH", "session_id": 15979, "sequence_id": 88, "annotations": []}
{"role": "volunteer", "content": "so is it rational?", "session_id": 15979, "sequence_id": 89, "annotations": []}
{"role": "volunteer", "content": "YES! DONT SECOND GUESS URSELF", "session_id": 15979, "sequence_id": 90, "annotations": []}
{"role": "student", "content": "Rational?", "session_id": 15979, "sequence_id": 91, "annotations": []}
{"role": "student", "content": "\ud83e\udd7a", "session_id": 15979, "sequence_id": 92, "annotations": []}
{"role": "volunteer", "content": "YES!!!!", "session_id": 15979, "sequence_id": 93, "annotations": []}
{"role": "student", "content": "YAYAYAYAY", "session_id": 15979, "sequence_id": 94, "annotations": []}
{"role": "student", "content": "\ud83d\ude0e\ud83d\ude0e", "session_id": 15979, "sequence_id": 95, "annotations": []}
{"role": "volunteer", "content": "ur on fire!!", "session_id": 15979, "sequence_id": 96, "annotations": []}
{"role": "volunteer", "content": "ok and 9/5?", "session_id": 15979, "sequence_id": 97, "annotations": []}
{"role": "volunteer", "content": "is it a fraction?", "session_id": 15979, "sequence_id": 98, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 15979, "sequence_id": 99, "annotations": []}
{"role": "volunteer", "content": "so is it rational?", "session_id": 15979, "sequence_id": 100, "annotations": []}
{"role": "student", "content": "Yes?", "session_id": 15979, "sequence_id": 101, "annotations": []}
{"role": "student", "content": "\ud83e\udd7a", "session_id": 15979, "sequence_id": 102, "annotations": []}
{"role": "volunteer", "content": "yes!", "session_id": 15979, "sequence_id": 103, "annotations": []}
{"role": "student", "content": "YAY", "session_id": 15979, "sequence_id": 104, "annotations": []}
{"role": "volunteer", "content": "and if u add the two?", "session_id": 15979, "sequence_id": 105, "annotations": []}
{"role": "volunteer", "content": "3/7 + 9/5?", "session_id": 15979, "sequence_id": 106, "annotations": []}
{"role": "volunteer", "content": "rational or irrational", "session_id": 15979, "sequence_id": 107, "annotations": []}
{"role": "student", "content": "If we add two rational numbers that makes it a rational", "session_id": 15979, "sequence_id": 108, "annotations": []}
{"role": "volunteer", "content": "YES MA'AM!", "session_id": 15979, "sequence_id": 109, "annotations": []}
{"role": "student", "content": "Sophia\ud83d\ude0e", "session_id": 15979, "sequence_id": 110, "annotations": [{"pii_type": "PERSON", "surrogate": "Sophia", "start": 0, "end": 6}]}
{"role": "volunteer", "content": "ok next!!!", "session_id": 15979, "sequence_id": 111, "annotations": []}
{"role": "volunteer", "content": "is root 6 rational or irrational?", "session_id": 15979, "sequence_id": 112, "annotations": []}
{"role": "student", "content": "Irrational", "session_id": 15979, "sequence_id": 113, "annotations": []}
{"role": "volunteer", "content": "yes!", "session_id": 15979, "sequence_id": 114, "annotations": []}
{"role": "student", "content": "YAY", "session_id": 15979, "sequence_id": 115, "annotations": []}
{"role": "volunteer", "content": "and 6? rational or irrational;", "session_id": 15979, "sequence_id": 116, "annotations": []}
{"role": "student", "content": "Rational", "session_id": 15979, "sequence_id": 117, "annotations": []}
{"role": "volunteer", "content": "yes!!!", "session_id": 15979, "sequence_id": 118, "annotations": []}
{"role": "student", "content": "Yay", "session_id": 15979, "sequence_id": 119, "annotations": []}
{"role": "volunteer", "content": "so if u multiply the two? rational or irrational?", "session_id": 15979, "sequence_id": 120, "annotations": []}
{"role": "student", "content": "\ud83d\ude0e", "session_id": 15979, "sequence_id": 121, "annotations": []}
{"role": "student", "content": "Irrational", "session_id": 15979, "sequence_id": 122, "annotations": []}
{"role": "volunteer", "content": "awesome!!!!", "session_id": 15979, "sequence_id": 123, "annotations": []}
{"role": "student", "content": "YAY", "session_id": 15979, "sequence_id": 124, "annotations": []}
{"role": "volunteer", "content": "algebra pro \ud83c\udf89", "session_id": 15979, "sequence_id": 125, "annotations": []}
{"role": "volunteer", "content": "ok try a-d on ur own now", "session_id": 15979, "sequence_id": 126, "annotations": []}
{"role": "student", "content": "Okay okay\ud83d\ude0e", "session_id": 15979, "sequence_id": 127, "annotations": []}
{"role": "student", "content": "I did it\ud83d\ude0e", "session_id": 15979, "sequence_id": 128, "annotations": []}
{"role": "volunteer", "content": "YAY!!!!", "session_id": 15979, "sequence_id": 129, "annotations": []}
{"role": "student", "content": "YAYAY", "session_id": 15979, "sequence_id": 130, "annotations": []}
{"role": "volunteer", "content": "AND EVERYTHING'S RIGHT!!", "session_id": 15979, "sequence_id": 131, "annotations": []}
{"role": "student", "content": "OMG OMG", "session_id": 15979, "sequence_id": 132, "annotations": []}
{"role": "student", "content": "RAHAHAHHA YAYAYAYA", "session_id": 15979, "sequence_id": 133, "annotations": []}
{"role": "volunteer", "content": "girl u did not need me for this lol", "session_id": 15979, "sequence_id": 134, "annotations": []}
{"role": "student", "content": "Uhm heh\u2026\ud83e\udd7a\ud83e\udd7a", "session_id": 15979, "sequence_id": 135, "annotations": []}
{"role": "volunteer", "content": "ur a star \ud83e\udd29", "session_id": 15979, "sequence_id": 136, "annotations": []}
{"role": "student", "content": "U helped me a lot\ud83d\ude0e", "session_id": 15979, "sequence_id": 137, "annotations": []}
{"role": "student", "content": "Aww thanks u\ud83d\ude0e", "session_id": 15979, "sequence_id": 138, "annotations": []}
{"role": "volunteer", "content": "aww cmon all u", "session_id": 15979, "sequence_id": 139, "annotations": []}
{"role": "volunteer", "content": "but ofcc im so happy i could help!", "session_id": 15979, "sequence_id": 140, "annotations": []}
{"role": "student", "content": "Gessss\ud83d\ude0e\ud83d\ude0e\ud83d\ude0e", "session_id": 15979, "sequence_id": 141, "annotations": []}
{"role": "volunteer", "content": "alr! last 2!!", "session_id": 15979, "sequence_id": 142, "annotations": []}
{"role": "student", "content": "Yes yes YAY", "session_id": 15979, "sequence_id": 143, "annotations": []}
{"role": "volunteer", "content": "do u think u can do those on ur own?", "session_id": 15979, "sequence_id": 144, "annotations": []}
{"role": "volunteer", "content": "i'll be here if u need help", "session_id": 15979, "sequence_id": 145, "annotations": []}
{"role": "student", "content": "Owkyyy I\u2019ll try", "session_id": 15979, "sequence_id": 146, "annotations": []}
{"role": "volunteer", "content": "want me to erase the screen for u?", "session_id": 15979, "sequence_id": 147, "annotations": []}
{"role": "volunteer", "content": "you'll have to reupload the worksheet tho", "session_id": 15979, "sequence_id": 148, "annotations": []}
{"role": "volunteer", "content": "nvm u got it!", "session_id": 15979, "sequence_id": 149, "annotations": []}
{"role": "student", "content": "Yesss", "session_id": 15979, "sequence_id": 150, "annotations": []}
{"role": "volunteer", "content": "ok almost done!!", "session_id": 15979, "sequence_id": 151, "annotations": []}
{"role": "student", "content": "I\u2019m doneee", "session_id": 15979, "sequence_id": 152, "annotations": []}
{"role": "student", "content": "Is that right\ud83e\udd7a", "session_id": 15979, "sequence_id": 153, "annotations": []}
{"role": "volunteer", "content": "3a is correct!!", "session_id": 15979, "sequence_id": 154, "annotations": []}
{"role": "volunteer", "content": "i dont see an answer under 3b tho\\", "session_id": 15979, "sequence_id": 155, "annotations": []}
{"role": "student", "content": "But I did put it", "session_id": 15979, "sequence_id": 156, "annotations": []}
{"role": "volunteer", "content": "maybe its a connectivity issue, just tell me what u said", "session_id": 15979, "sequence_id": 157, "annotations": []}
{"role": "volunteer", "content": "oh wait i see it", "session_id": 15979, "sequence_id": 158, "annotations": []}
{"role": "volunteer", "content": "yes! u might wanna explain it better tho", "session_id": 15979, "sequence_id": 159, "annotations": []}
{"role": "volunteer", "content": "say root 9 is equal to 3, which is a rational number", "session_id": 15979, "sequence_id": 160, "annotations": []}
{"role": "student", "content": "Ohhhhh okaayay", "session_id": 15979, "sequence_id": 161, "annotations": []}
{"role": "volunteer", "content": "and the product of 2 rational numbers is rational", "session_id": 15979, "sequence_id": 162, "annotations": []}
{"role": "volunteer", "content": "but u got it!!!", "session_id": 15979, "sequence_id": 163, "annotations": []}
{"role": "volunteer", "content": "im so proud of u <3", "session_id": 15979, "sequence_id": 164, "annotations": []}
{"role": "student", "content": "AWHWHWH YAYAYAY", "session_id": 15979, "sequence_id": 165, "annotations": []}
{"role": "student", "content": "\ud83e\udd70", "session_id": 15979, "sequence_id": 166, "annotations": []}
{"role": "student", "content": "There\ud83e\udd7a\ud83e\udd7a\ud83e\udd7a", "session_id": 15979, "sequence_id": 167, "annotations": []}
{"role": "volunteer", "content": "great job today Sophia! i hope you learned smth from me!", "session_id": 15979, "sequence_id": 168, "annotations": [{"pii_type": "PERSON", "surrogate": "Sophia", "start": 16, "end": 22}]}
{"role": "volunteer", "content": "perfect!", "session_id": 15979, "sequence_id": 169, "annotations": []}
{"role": "student", "content": "Yes I learned a lot", "session_id": 15979, "sequence_id": 170, "annotations": []}
{"role": "student", "content": "Thank u so much\ud83e\udd70", "session_id": 15979, "sequence_id": 171, "annotations": []}
{"role": "volunteer", "content": "you're very welcome! good night!", "session_id": 15979, "sequence_id": 172, "annotations": []}
{"role": "student", "content": "Nighty night\ud83d\ude0e", "session_id": 15979, "sequence_id": 173, "annotations": []}
{"role": "volunteer", "content": "welcome Maya, how may I help you?", "session_id": 15980, "sequence_id": 0, "annotations": [{"pii_type": "PERSON", "surrogate": "Maya", "start": 8, "end": 12}]}
{"role": "student", "content": "I have a problem on my homework, it's about 2 step equations with rational numbers.", "session_id": 15980, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "ok.  I'll be glad to help, can you please show me what you are trying to do", "session_id": 15980, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "Yes.", "session_id": 15980, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "2/5x-1/2=6/5x", "session_id": 15980, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "do u know what you are solving for?", "session_id": 15980, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "Solving for X.", "session_id": 15980, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "so how do u think you start first?", "session_id": 15980, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "+1/2 on both sides", "session_id": 15980, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "ok..why would u do that first?", "session_id": 15980, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "You're supposed to put the variables and constants on different sides.", "session_id": 15980, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "Oh wait no", "session_id": 15980, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "-6/5x on both sides.", "session_id": 15980, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "how can you group all the variables on one side and the constants on the other side in one step?", "session_id": 15980, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "I'm not sure.", "session_id": 15980, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "let's move the 2/5x to the other side would u do that?", "session_id": 15980, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "You subtract 2/5x by 6/5x.", "session_id": 15980, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "yup", "session_id": 15980, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "so what answer would u get?", "session_id": 15980, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "what is 6/5x-2/5x?", "session_id": 15980, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "4/5x?", "session_id": 15980, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "correct..", "session_id": 15980, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "so what is the final answer?", "session_id": 15980, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "can u write it on the board please?", "session_id": 15980, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 15980, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "awesome", "session_id": 15980, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "you can simply further too", "session_id": 15980, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "In decimal form?", "session_id": 15980, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "So, moving the fractions", "session_id": 15980, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "you want to solve for X, correct?", "session_id": 15980, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "Yes.", "session_id": 15980, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "how can we get x by itself on one side of the equation?", "session_id": 15980, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "You divide 4/5 on both sides.", "session_id": 15980, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "correct...u are doing great", "session_id": 15980, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "go ahead and write on the board please", "session_id": 15980, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "How do you divide by fractions?", "session_id": 15980, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "do you know what you can multiply to 4/5 to get 1?", "session_id": 15980, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "5/4?", "session_id": 15980, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 15980, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "so if you multiply the left side by 5/4..what do you get?", "session_id": 15980, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "do you understand?", "session_id": 15980, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "Yes.", "session_id": 15980, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "please show me on the board", "session_id": 15980, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "5/8?", "session_id": 15980, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "You are missing something?", "session_id": 15980, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "is it 1/2 or ?", "session_id": 15980, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "-1/2", "session_id": 15980, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "correct", "session_id": 15980, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "so now since you multiplied on the left by 5/4, you must do the same on the right side", "session_id": 15980, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "so what is the final answer?", "session_id": 15980, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "what does x=?", "session_id": 15980, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "Great job....", "session_id": 15980, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "did all of that make sense?", "session_id": 15980, "sequence_id": 52, "annotations": []}
{"role": "student", "content": "Im confused, what do I do with the 1x and the -5/8?", "session_id": 15980, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "1x = x", "session_id": 15980, "sequence_id": 54, "annotations": []}
{"role": "student", "content": "Oh", "session_id": 15980, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "the answer would be...", "session_id": 15980, "sequence_id": 56, "annotations": []}
{"role": "student", "content": "-5/8", "session_id": 15980, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "yup", "session_id": 15980, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "do u know how to check to see if your answer is right?", "session_id": 15980, "sequence_id": 59, "annotations": []}
{"role": "student", "content": "No", "session_id": 15980, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "so please right the original problem again", "session_id": 15980, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "awesome", "session_id": 15980, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "now everywhere you see an x, substitute it with -5/8", "session_id": 15980, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "and solve the equation", "session_id": 15980, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "what did u get?", "session_id": 15980, "sequence_id": 65, "annotations": []}
{"role": "student", "content": "-5/8", "session_id": 15980, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "let me delete that,  that ok?", "session_id": 15980, "sequence_id": 67, "annotations": []}
{"role": "student", "content": "Yes.", "session_id": 15980, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "not much room to draw", "session_id": 15980, "sequence_id": 69, "annotations": []}
{"role": "student", "content": "Im sorry", "session_id": 15980, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "no problem", "session_id": 15980, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "can u please write the problem again at the top of the page please", "session_id": 15980, "sequence_id": 72, "annotations": []}
{"role": "student", "content": "yes", "session_id": 15980, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "ok, solve the left side of the equation only for x=-5/8 please", "session_id": 15980, "sequence_id": 74, "annotations": []}
{"role": "student", "content": "ok", "session_id": 15980, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "so what answer do u get for the left side of the equation?", "session_id": 15980, "sequence_id": 76, "annotations": []}
{"role": "student", "content": "-10/40 x", "session_id": 15980, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "you have to remember that there is  no longer an x since you substituted a number", "session_id": 15980, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "also you forgot to include the -1/2", "session_id": 15980, "sequence_id": 79, "annotations": []}
{"role": "student", "content": "oh oops", "session_id": 15980, "sequence_id": 80, "annotations": []}
{"role": "student", "content": "when you subtract fractions, do you go straight across?", "session_id": 15980, "sequence_id": 81, "annotations": []}
{"role": "volunteer", "content": "you can only go straight across if they have the same common denominator", "session_id": 15980, "sequence_id": 82, "annotations": []}
{"role": "student", "content": "ok", "session_id": 15980, "sequence_id": 83, "annotations": []}
{"role": "volunteer", "content": "what is the common denominator?", "session_id": 15980, "sequence_id": 84, "annotations": []}
{"role": "student", "content": "20?", "session_id": 15980, "sequence_id": 85, "annotations": []}
{"role": "volunteer", "content": "why?", "session_id": 15980, "sequence_id": 86, "annotations": []}
{"role": "student", "content": "What happens when you don't have the same common denominator?", "session_id": 15980, "sequence_id": 87, "annotations": []}
{"role": "volunteer", "content": "you have to find a number which is common for both?", "session_id": 15980, "sequence_id": 88, "annotations": []}
{"role": "volunteer", "content": "You have to find a number which is common for both", "session_id": 15980, "sequence_id": 89, "annotations": []}
{"role": "volunteer", "content": "what is the smallest number that is common to both numbers?", "session_id": 15980, "sequence_id": 90, "annotations": []}
{"role": "student", "content": "10?", "session_id": 15980, "sequence_id": 91, "annotations": []}
{"role": "volunteer", "content": "40 is the smallest number", "session_id": 15980, "sequence_id": 92, "annotations": []}
{"role": "volunteer", "content": "is 40 divisible by 40?", "session_id": 15980, "sequence_id": 93, "annotations": []}
{"role": "student", "content": "yes", "session_id": 15980, "sequence_id": 94, "annotations": []}
{"role": "volunteer", "content": "is 40 divisible by 2?", "session_id": 15980, "sequence_id": 95, "annotations": []}
{"role": "student", "content": "I think so.", "session_id": 15980, "sequence_id": 96, "annotations": []}
{"role": "volunteer", "content": "yes it is", "session_id": 15980, "sequence_id": 97, "annotations": []}
{"role": "volunteer", "content": "so if 40 is the common denominator, please solve the equation", "session_id": 15980, "sequence_id": 98, "annotations": []}
{"role": "volunteer", "content": "don't solve it..write down all the steps to get the number for the numerator please", "session_id": 15980, "sequence_id": 99, "annotations": []}
{"role": "student", "content": "Can you show me how?", "session_id": 15980, "sequence_id": 100, "annotations": []}
{"role": "volunteer", "content": "if you divide 40 by 40, what do u get?", "session_id": 15980, "sequence_id": 101, "annotations": []}
{"role": "student", "content": "1", "session_id": 15980, "sequence_id": 102, "annotations": []}
{"role": "volunteer", "content": "correct", "session_id": 15980, "sequence_id": 103, "annotations": []}
{"role": "volunteer", "content": "if you divide 40 by 2..what do you get?", "session_id": 15980, "sequence_id": 104, "annotations": []}
{"role": "student", "content": "20", "session_id": 15980, "sequence_id": 105, "annotations": []}
{"role": "volunteer", "content": "correct", "session_id": 15980, "sequence_id": 106, "annotations": []}
{"role": "volunteer", "content": "does that make sense?", "session_id": 15980, "sequence_id": 107, "annotations": []}
{"role": "student", "content": "yes", "session_id": 15980, "sequence_id": 108, "annotations": []}
{"role": "volunteer", "content": "so the left side of the original equation is equal to -30/40", "session_id": 15980, "sequence_id": 109, "annotations": []}
{"role": "volunteer", "content": "now we have to solve the right side of the original please solve", "session_id": 15980, "sequence_id": 110, "annotations": []}
{"role": "student", "content": "ok", "session_id": 15980, "sequence_id": 111, "annotations": []}
{"role": "student", "content": "i got the same answer.", "session_id": 15980, "sequence_id": 112, "annotations": []}
{"role": "volunteer", "content": "So that means the answer you got for x is correct", "session_id": 15980, "sequence_id": 113, "annotations": []}
{"role": "volunteer", "content": "does that make sense?", "session_id": 15980, "sequence_id": 114, "annotations": []}
{"role": "student", "content": "Yes, thank you", "session_id": 15980, "sequence_id": 115, "annotations": []}
{"role": "volunteer", "content": "do you remember the value for x?", "session_id": 15980, "sequence_id": 116, "annotations": []}
{"role": "student", "content": "-5/8", "session_id": 15980, "sequence_id": 117, "annotations": []}
{"role": "volunteer", "content": "yup", "session_id": 15980, "sequence_id": 118, "annotations": []}
{"role": "volunteer", "content": "you will need to practice getting the common denominator though", "session_id": 15980, "sequence_id": 119, "annotations": []}
{"role": "student", "content": "i will", "session_id": 15980, "sequence_id": 120, "annotations": []}
{"role": "volunteer", "content": "great...hopefully u learned something", "session_id": 15980, "sequence_id": 121, "annotations": []}
{"role": "student", "content": "i did thank you for teaching me", "session_id": 15980, "sequence_id": 122, "annotations": []}
{"role": "volunteer", "content": "no problem.  anything else?", "session_id": 15980, "sequence_id": 123, "annotations": []}
{"role": "student", "content": "no it was just that question.", "session_id": 15980, "sequence_id": 124, "annotations": []}
{"role": "volunteer", "content": "awesome..goodnight", "session_id": 15980, "sequence_id": 125, "annotations": []}
{"role": "student", "content": "goodnight", "session_id": 15980, "sequence_id": 126, "annotations": []}
{"role": "volunteer", "content": "Another way to find the common denominator is to multiply the two numbers together.  If you remember from our session, we had 40 and 2 in the denominator.  We could have simply used 40*2=80 as the common denominator and then solved the fraction.  Then you would need to simplify the fraction.  Hopefully this makes sense.  Keep up the good work Maya!!!", "session_id": 15980, "sequence_id": 127, "annotations": [{"pii_type": "PERSON", "surrogate": "Maya", "start": 345, "end": 349}]}
{"role": "volunteer", "content": "Okay, how about now?", "session_id": 16085, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "Yes!", "session_id": 16085, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "Sweet !", "session_id": 16085, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "Okay, so now maybe you post/draw somethign and see if it's working both ways?", "session_id": 16085, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "Okay so basically in class we are doing review of algebra 1 but i have some gaps from that class and also it was 3 years ago so im struggling with simple concepts", "session_id": 16085, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "Okey dokey.", "session_id": 16085, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "Any particular topic then you want to review?", "session_id": 16085, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "i started a problem just now but the tutor person was being unresponsive so i can show you what i have so far", "session_id": 16085, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "Okey dokey.", "session_id": 16085, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "Here\u2019s the problem, im on #35", "session_id": 16085, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "I see it !", "session_id": 16085, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "Okay, so in general here, what they are asking you to do is to \"solve each system\" of equations by graphing.", "session_id": 16085, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "What that means is that they are giving you the equation of two different lines and asking you \"where do these lines cross\"?", "session_id": 16085, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "So what we'll do is to graph each line (as best we can) and then look to see where they intersect.", "session_id": 16085, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "Okay so far?", "session_id": 16085, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 16085, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "In graphing the line, the easiest way to do it is to just plot two points and then connect the dots.", "session_id": 16085, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "Or, you can convert each equation into a y = mx + b format like you've done here.", "session_id": 16085, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "Then you can easily plot the y intercept at b, and then move up/down m units in slope to create your second point.  Then connect the dots.", "session_id": 16085, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "Yes so i just went through the whole process of question #33 with another Tutor Provider tutor and i think i did fairly well but now here the y intercept is a fraction so is that incorrect", "session_id": 16085, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "That's correct - the slope can be any number, including fractions.", "session_id": 16085, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "So how did you find the point (-3, -4) in the previous problem?", "session_id": 16085, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "I don't see any graphing...", "session_id": 16085, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "Brooklyn !!!", "session_id": 16085, "sequence_id": 23, "annotations": [{"pii_type": "LOCATION", "surrogate": "Brooklyn", "start": 0, "end": 8}]}
{"role": "volunteer", "content": "I saw that.", "session_id": 16085, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "So, if it were me, I'd not bother changing the format into the y = mx + b format.", "session_id": 16085, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "Just get two points for each line and graph them.  Boom done.", "session_id": 16085, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "Huh", "session_id": 16085, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "So let's graph the first line - see what I'm writing?", "session_id": 16085, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 16085, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "And we only need 2 points to draw the line, right?", "session_id": 16085, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "Right", "session_id": 16085, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "So let's make it easy on ourselves and find the points by first setting x = 0 and solve for y", "session_id": 16085, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "Then we set y = 0 and solve for x.", "session_id": 16085, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "Okay?", "session_id": 16085, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "Okay..", "session_id": 16085, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "So if we set x = 0, we get y = 12/-8", "session_id": 16085, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "or -1.5", "session_id": 16085, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "And if we set y = 0, we get x = 12/-3 or -4", "session_id": 16085, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "Okay so far?", "session_id": 16085, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "Ive never seen anyone do this method", "session_id": 16085, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "It's the easiest way to do these (by graphing).", "session_id": 16085, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "When you solve them NOT by graphing, you'd solve each equation for y (or x, doesn't matter), then set them equal and solve for the other variable.", "session_id": 16085, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "But that's now that we're being asked to do here..", "session_id": 16085, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "Can you plot those two points on your graph paper (since your graphs are clean and neat and mine aren't) ???", "session_id": 16085, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "Ok", "session_id": 16085, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "So here when x = 0, y = -48/32 = -1.5", "session_id": 16085, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "And when y = 0, we get x = -4", "session_id": 16085, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "Hmm - notice anything?", "session_id": 16085, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "They\u2019re the same", "session_id": 16085, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": ":-)", "session_id": 16085, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "Yup.", "session_id": 16085, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "In general, as you got thru these type of problems, you'll get one of 3 different outcomes.", "session_id": 16085, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "1. The lines will touch once, giving you one ordered pair (simple answer).", "session_id": 16085, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "2. The lines are parallel but have different y intercepts.  Hence they NEVER touch (no answers).", "session_id": 16085, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "3. The lines are parallel and line \"on top of each other\" which is the case here.", "session_id": 16085, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "But backing up, does this \"plot two points for each line and connect the dots\" idea make sense?", "session_id": 16085, "sequence_id": 56, "annotations": []}
{"role": "student", "content": "No i am confused on how you came up with these coordinates", "session_id": 16085, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "What I did (for each line) was to create two points.", "session_id": 16085, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "In theory, you can plug any number in for x (like 27) and see what y value that gives you.", "session_id": 16085, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "But, because I'm lazy and like to work with easy numbers, I chose x = 0 and solved for y.", "session_id": 16085, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "But in general, you can plug in ANY number you want.  You're just finding one of the two points that you need.", "session_id": 16085, "sequence_id": 61, "annotations": []}
{"role": "student", "content": "Okay", "session_id": 16085, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "Again, this is just a visual way to \"solve the solution\".", "session_id": 16085, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "Wanna do another, or are you good with this technique?", "session_id": 16085, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "Or, you can stay with your \"solve them algebraically\" method and graph once done...", "session_id": 16085, "sequence_id": 65, "annotations": []}
{"role": "student", "content": "So the answer for the question is no answer because theyre on top of eachother?", "session_id": 16085, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "The answer (depends on the vocabulary of your text) would be that there are infinite solutions to the problem set.", "session_id": 16085, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "There's not just one point where the lines intersect, ALL the points are intersecting.", "session_id": 16085, "sequence_id": 68, "annotations": []}
{"role": "student", "content": "Okay", "session_id": 16085, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "Another thing I wanted to mention is that sometimes they won't give you the equations for the lines", "session_id": 16085, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "They'll just give you a few points for each line and ask \"where do these lines touch?\"", "session_id": 16085, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "That's why this \"connect the dots\" thingy is important.", "session_id": 16085, "sequence_id": 72, "annotations": []}
{"role": "student", "content": "Im sorry Mr. David but i like y = mx + b better because i can visualize everything and i feel like you just did some magic i dont understand your way", "session_id": 16085, "sequence_id": 73, "annotations": [{"pii_type": "PERSON", "surrogate": "Mr. David", "start": 9, "end": 18}]}
{"role": "volunteer", "content": "Yep, I get it.", "session_id": 16085, "sequence_id": 74, "annotations": []}
{"role": "volunteer", "content": "So do you wanna do another one, or are you all set for now?", "session_id": 16085, "sequence_id": 75, "annotations": []}
{"role": "student", "content": "Let\u2019s do the next one", "session_id": 16085, "sequence_id": 76, "annotations": []}
{"role": "student", "content": "It\u2019s #39", "session_id": 16085, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "36?", "session_id": 16085, "sequence_id": 78, "annotations": []}
{"role": "student", "content": "My teacher assigns problems randomly", "session_id": 16085, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "Chicago !", "session_id": 16085, "sequence_id": 80, "annotations": [{"pii_type": "LOCATION", "surrogate": "Chicago", "start": 0, "end": 7}]}
{"role": "volunteer", "content": "This is a vocabulary question, so to say.", "session_id": 16085, "sequence_id": 81, "annotations": []}
{"role": "volunteer", "content": "What do those phrases mean?", "session_id": 16085, "sequence_id": 82, "annotations": []}
{"role": "student", "content": "Omg", "session_id": 16085, "sequence_id": 83, "annotations": []}
{"role": "student", "content": "I dont even know", "session_id": 16085, "sequence_id": 84, "annotations": []}
{"role": "student", "content": "\ud83d\ude23", "session_id": 16085, "sequence_id": 85, "annotations": []}
{"role": "volunteer", "content": "Better ask Mr. Mr. Harrison.", "session_id": 16085, "sequence_id": 86, "annotations": [{"pii_type": "PERSON", "surrogate": "Mr. Harrison", "start": 15, "end": 27}]}
{"role": "volunteer", "content": "It's those same 3 cases I mentioned a while ago methinks.", "session_id": 16085, "sequence_id": 87, "annotations": []}
{"role": "volunteer", "content": "hi! how are you doing", "session_id": 16130, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "good and you", "session_id": 16130, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "great!", "session_id": 16130, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "what do you need help with today", "session_id": 16130, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "i need help with parallel and perpendicular lines", "session_id": 16130, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "got it", "session_id": 16130, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "do you have a specific question", "session_id": 16130, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "that you want to work through?", "session_id": 16130, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "yes i shared my screen so you're able to see the problem", "session_id": 16130, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 16130, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "do you know where to start", "session_id": 16130, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "i found the sqaure roots by doing a^2+b^2=c^2", "session_id": 16130, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "and then i added them and got 6square root of five", "session_id": 16130, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "i can show you my steps on the white board", "session_id": 16130, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "which part are we talking about?", "session_id": 16130, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "I finished my work and i got to that point and don't know what else to do", "session_id": 16130, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "ok i see your work", "session_id": 16130, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "you got those numbers from solving part a and b right", "session_id": 16130, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "I got these numbers by drawing a graph and seeing the distance between each triangle", "session_id": 16130, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "you got 6square root of 5 for the total distance from A-X-Y-B", "session_id": 16130, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "yes", "session_id": 16130, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "the question wants to know if that is longer or shorter than just going from A-B", "session_id": 16130, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "how would i do that", "session_id": 16130, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "you know the coordinates of both A and B right", "session_id": 16130, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "yes A is (8, 1) and B is (14, 9)", "session_id": 16130, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "so you have to use the same formula you used earlier to find the distance between them right", "session_id": 16130, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "what formula the a^2+b^2=c^2", "session_id": 16130, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 16130, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "however:", "session_id": 16130, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "are you sure that you have the correct points for X and Y", "session_id": 16130, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "for x and y i have 10, 2", "session_id": 16130, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "your coordinates for x are (10,2)?", "session_id": 16130, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "yes is that correct", "session_id": 16130, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "did you find those coordinates mathematically", "session_id": 16130, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "like using a slope equation", "session_id": 16130, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "I was with a person in Tutor Provider and they told me to set them equal to each other to find x and y", "session_id": 16130, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 16130, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "what was your equation for line U", "session_id": 16130, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "I think i forgot to do that to find Point Y", "session_id": 16130, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "my equation for line U is y=-2x+22", "session_id": 16130, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "how did you get that", "session_id": 16130, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "I found the slope which is 1/2 for H and S then i pluged it into y=mx+b with y and x being the coordinates for line u", "session_id": 16130, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "ok thats good", "session_id": 16130, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "(10,2) is right for X", "session_id": 16130, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "have you solved for Y", "session_id": 16130, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "yes now i need to find y", "session_id": 16130, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "ok let me know what you get for Y", "session_id": 16130, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "Y is (8, 6)", "session_id": 16130, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 16130, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "so what do we do for part c", "session_id": 16130, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "you need to redo your work for the a^2+b^2=c^2", "session_id": 16130, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "using (10,2) for X and (8,6) for Y", "session_id": 16130, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "what so i use the coordinates for my a and b", "session_id": 16130, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "yes, (8,1) for A and (14,9) for B", "session_id": 16130, "sequence_id": 53, "annotations": []}
{"role": "student", "content": "no like for the a^2+b^2=c^2", "session_id": 16130, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "no", "session_id": 16130, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "you find the difference between X and Y values", "session_id": 16130, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "so for A-X", "session_id": 16130, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "you should draw out a graph", "session_id": 16130, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "so you can visualize what you're finding", "session_id": 16130, "sequence_id": 59, "annotations": []}
{"role": "student", "content": "so the original square root i had is wrong", "session_id": 16130, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "let me see", "session_id": 16130, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "im going to check your work", "session_id": 16130, "sequence_id": 62, "annotations": []}
{"role": "student", "content": "okay", "session_id": 16130, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "no your work is correct", "session_id": 16130, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "now all you have to do is find the distance from A-B", "session_id": 16130, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "so do the same thing you did for like A-X with the a^2+b^2=c^2 equation to find A-B", "session_id": 16130, "sequence_id": 66, "annotations": []}
{"role": "student", "content": "how do I know what plugs into A^2 and B^2", "session_id": 16130, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "the same way you knew what plugged into A^2 and B^2 for the earlier equations", "session_id": 16130, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "you subtract the y values and the x values", "session_id": 16130, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "so if A is (8,1) and B is (14,9) the vertical distance is 8 and the horizontal distance is 6", "session_id": 16130, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "which you'd plug into A^2 and B^2", "session_id": 16130, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "to find C^2", "session_id": 16130, "sequence_id": 72, "annotations": []}
{"role": "student", "content": "wait im soo confused", "session_id": 16130, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "so you find the right triangle, right?", "session_id": 16130, "sequence_id": 74, "annotations": []}
{"role": "student", "content": "so if i have coordinates how would i plug that into A^2 and B^2", "session_id": 16130, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "because thats how A^2+b^2=c^2 works", "session_id": 16130, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "the coordinates help you because you can make a right triangle out of them", "session_id": 16130, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "to find the straight line distance", "session_id": 16130, "sequence_id": 78, "annotations": []}
{"role": "student", "content": "but like how do i know which coordinates to plug in if theres 4 points", "session_id": 16130, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "there's only 2 points", "session_id": 16130, "sequence_id": 80, "annotations": []}
{"role": "volunteer", "content": "because the second part of (c) is just asking for A to B", "session_id": 16130, "sequence_id": 81, "annotations": []}
{"role": "volunteer", "content": "the first part was asking for the distance from A to X to Y to B", "session_id": 16130, "sequence_id": 82, "annotations": []}
{"role": "volunteer", "content": "but the second part is asking what it would be to go straight from A to B", "session_id": 16130, "sequence_id": 83, "annotations": []}
{"role": "student", "content": "yea but you have your x and y value for the points a and b so how would i know to plug in the y or cx value into a and b", "session_id": 16130, "sequence_id": 84, "annotations": []}
{"role": "volunteer", "content": "you don't plug in the points to a and b", "session_id": 16130, "sequence_id": 85, "annotations": []}
{"role": "volunteer", "content": "you plug in the differences", "session_id": 16130, "sequence_id": 86, "annotations": []}
{"role": "student", "content": "how would i find the difference", "session_id": 16130, "sequence_id": 87, "annotations": []}
{"role": "volunteer", "content": "so if A is (8,1) and B is (14,9), to find a you do (9-1) and to find b you do (14-8)", "session_id": 16130, "sequence_id": 88, "annotations": []}
{"role": "student", "content": "ohhh", "session_id": 16130, "sequence_id": 89, "annotations": []}
{"role": "student", "content": "i got square root 100", "session_id": 16130, "sequence_id": 90, "annotations": []}
{"role": "volunteer", "content": "what does that simplify to", "session_id": 16130, "sequence_id": 91, "annotations": []}
{"role": "student", "content": "square root of 10", "session_id": 16130, "sequence_id": 92, "annotations": []}
{"role": "student", "content": "or 10", "session_id": 16130, "sequence_id": 93, "annotations": []}
{"role": "volunteer", "content": "yeah", "session_id": 16130, "sequence_id": 94, "annotations": []}
{"role": "student", "content": "wait is it 10 or square root of 10", "session_id": 16130, "sequence_id": 95, "annotations": []}
{"role": "volunteer", "content": "10", "session_id": 16130, "sequence_id": 96, "annotations": []}
{"role": "student", "content": "okay", "session_id": 16130, "sequence_id": 97, "annotations": []}
{"role": "volunteer", "content": "so 10 is the straight line distance from A to B", "session_id": 16130, "sequence_id": 98, "annotations": []}
{"role": "student", "content": "what do we do now", "session_id": 16130, "sequence_id": 99, "annotations": []}
{"role": "volunteer", "content": "what else does part c ask", "session_id": 16130, "sequence_id": 100, "annotations": []}
{"role": "student", "content": "i shared my screens", "session_id": 16130, "sequence_id": 101, "annotations": []}
{"role": "volunteer", "content": "you already found the distance from A to X to Y to B and then you found A to B", "session_id": 16130, "sequence_id": 102, "annotations": []}
{"role": "volunteer", "content": "so now you compare which is shorter", "session_id": 16130, "sequence_id": 103, "annotations": []}
{"role": "volunteer", "content": "so take the two distances you found and see which one is smaller", "session_id": 16130, "sequence_id": 104, "annotations": []}
{"role": "student", "content": "A to B is shorter", "session_id": 16130, "sequence_id": 105, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 16130, "sequence_id": 106, "annotations": []}
{"role": "volunteer", "content": "now in 1-2 sentences you need to explain why A to X to Y to B is longer than A to B", "session_id": 16130, "sequence_id": 107, "annotations": []}
{"role": "student", "content": "but why is it longer is it because of the intyersection", "session_id": 16130, "sequence_id": 108, "annotations": []}
{"role": "volunteer", "content": "yes but why else do you think it would be longer", "session_id": 16130, "sequence_id": 109, "annotations": []}
{"role": "volunteer", "content": "think about going directly from one place to another in a straight line vs. taking sort of a zig-zag route", "session_id": 16130, "sequence_id": 110, "annotations": []}
{"role": "volunteer", "content": "why would the straight line be shorter", "session_id": 16130, "sequence_id": 111, "annotations": []}
{"role": "student", "content": "because there is  o turns", "session_id": 16130, "sequence_id": 112, "annotations": []}
{"role": "volunteer", "content": "use all of that information to create a short answer on why the intersection route is longer", "session_id": 16130, "sequence_id": 113, "annotations": []}
{"role": "volunteer", "content": "I have to go now, but you did a great job", "session_id": 16130, "sequence_id": 114, "annotations": []}
{"role": "volunteer", "content": "good luck!", "session_id": 16130, "sequence_id": 115, "annotations": []}
{"role": "student", "content": "Hi", "session_id": 16122, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "Hi Sarah", "session_id": 16122, "sequence_id": 1, "annotations": [{"pii_type": "PERSON", "surrogate": "Sarah", "start": 3, "end": 8}]}
{"role": "student", "content": "one moment my images are loading", "session_id": 16122, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "My problem is question 14", "session_id": 16122, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "is the correct answer C?", "session_id": 16122, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "I'll need to enlarge the upload a bit.", "session_id": 16122, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "okay", "session_id": 16122, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "I'm reading...", "session_id": 16122, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "C is correct.", "session_id": 16122, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "oh nooo", "session_id": 16122, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "okay thank you", "session_id": 16122, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "is it because the data points", "session_id": 16122, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "have the biggest gap", "session_id": 16122, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "from the mean", "session_id": 16122, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "Yes. For (C), the data points are the furthest away from the mean. The \"spread\" is the greatest.", "session_id": 16122, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "Okay I understand", "session_id": 16122, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "thank you", "session_id": 16122, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "that will be all", "session_id": 16122, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "have a good day :D", "session_id": 16122, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "You as well.", "session_id": 16122, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "Hi!", "session_id": 16254, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "hi", "session_id": 16254, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "one second", "session_id": 16254, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "Hey, can you hear me?", "session_id": 16254, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "yea", "session_id": 16254, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "OK. Um, OK, so.", "session_id": 16254, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "first we need to understand the shape of the graph. So the graph is a para uh parabola, right? And the negative sign is just showing that this graph is opening.", "session_id": 16254, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "downward", "session_id": 16254, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "upside down you", "session_id": 16254, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "The coefficient to makes it narrower and steeper, right? So this is just gonna be the original function. We're trying to make it into this Y equals function right here. So now we know that the graph needs to open downward, and the two makes it more steep. The vertex is still going to be at 00. So what we're gonna do is we're going to plug in some X values to get some points. So we have this", "session_id": 16254, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "equ ation we have 2 x^2, um, can you go ahead and plug in 0 and tell me what you get.", "session_id": 16254, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "for the X value.", "session_id": 16254, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "So if we were to replace the X with 0.", "session_id": 16254, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "I", "session_id": 16254, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "I", "session_id": 16254, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "I", "session_id": 16254, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "Um, I'm sorry. I'm kinda confused.", "session_id": 16254, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "That's OK", "session_id": 16254, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "OK", "session_id": 16254, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 16254, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "Um, I'm just gonna go ahead and walk you through it, OK? So,", "session_id": 16254, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "if we have Y equals -2 x^2. Basically we're just plugging in a point to check, oh, if I put in this point, what would I get for the Y value, right? So if I were to do -2", "session_id": 16254, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "and then I replaced the X with a 0, and I put a square. What is 02? So 0 times 0.", "session_id": 16254, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "Uh, 0, right?", "session_id": 16254, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "Yeah, exactly. So it'd just be Y equals 2 times 0, and anything times 0 is just gonna be", "session_id": 16254, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "0, right?", "session_id": 16254, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 16254, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "OK, so this is just gonna be 0. So basically what we're saying is when we plug in 0, which is our X, our result is also going to be 0.", "session_id": 16254, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "Do you understand how I got this coordinate point?", "session_id": 16254, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 16254, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "OK, perfect. So now what we're gonna do is on the real graph, we're going to go and put the point at 00.", "session_id": 16254, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "Mhm.", "session_id": 16254, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 16254, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "And the next thing that we're gonna do is we're gonna plug in another point. So let's do, let's plug in one.", "session_id": 16254, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "OK? So if we were to do Y equals -2.", "session_id": 16254, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "x 1", "session_id": 16254, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "2. What is 1 times 1 or 1 squared.", "session_id": 16254, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "Uh, one", "session_id": 16254, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "Exactly, so it's just gonna be one. So then what's 2 times just one.", "session_id": 16254, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "Um", "session_id": 16254, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "that'd be -2, right?", "session_id": 16254, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "Yeah, it would be negative too. Perfect. So, now we know that when we plug in one, what would our Y coordinate be?", "session_id": 16254, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "Here's a hint, you just said it.", "session_id": 16254, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "2", "session_id": 16254, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "Mhm, yeah. So now we know another point, right? 1 and -2.", "session_id": 16254, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "So now we're gonna do another", "session_id": 16254, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "um Basically what we're doing is", "session_id": 16254, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "we can see that the graph up here is, it looks very similar to just Y equals 2 x 2, and we can see the same points, we can see one.", "session_id": 16254, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "and one is matched up because right here at this point right here, that's 11. This point right here is", "session_id": 16254, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "2.4. And if we already see a pattern here with one", "session_id": 16254, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "2.", "session_id": 16254, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "We can also just see that since it's gonna be the same, a parabola is always gonna be like even, right? It's always or not even, it's always gonna like be symmetric.", "session_id": 16254, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "So if there's a point here, we need to make it even so on this side of the graph right here, where could I put a point that would match up with this one.", "session_id": 16254, "sequence_id": 52, "annotations": []}
{"role": "student", "content": "Uh, -1, 2, right?", "session_id": 16254, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "Mhm. Perfect. Yeah. So that's right. And then", "session_id": 16254, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "it looks like they want us to, so it says move the red points.", "session_id": 16254, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "to moving the red points changes the vertical stretch or compression, moving the blue point shifts the function left, right, up or down. So it's, so do you see how like when we have a normal function, we would usually have something like, or not a normal function, but if we're moving left or right, we would usually have like X minus 2 or X + 4.", "session_id": 16254, "sequence_id": 56, "annotations": []}
{"role": "student", "content": "Mhm.", "session_id": 16254, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "Yeah, we would have something like that, right? And this function, we don't have that, so we're not moving left or right. And we also don't have like a plus or minus value at the end.", "session_id": 16254, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "So", "session_id": 16254, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "basically, all you're really doing is you're just changing the slope to be negative 2.", "session_id": 16254, "sequence_id": 60, "annotations": []}
{"role": "student", "content": "OK", "session_id": 16254, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "So, let's plug in another point. Over here they're doing 2 and 4. Let's just go ahead and do 2, OK? So if we were to plug into", "session_id": 16254, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "so if we were to do Y equals -2.", "session_id": 16254, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "times 22. What is 22 or 2 times 2?", "session_id": 16254, "sequence_id": 64, "annotations": []}
{"role": "student", "content": "04", "session_id": 16254, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "Mhm, 4, so then we would have Y equals -2 x 4. What's 2 times 4?", "session_id": 16254, "sequence_id": 66, "annotations": []}
{"role": "student", "content": "Uh, -8, right?", "session_id": 16254, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "Mhm, yeah, you're right. So it'd be -8. So now when we plug in, what's our output?", "session_id": 16254, "sequence_id": 68, "annotations": []}
{"role": "student", "content": "Um, it would be.", "session_id": 16254, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "Remember you just said it", "session_id": 16254, "sequence_id": 70, "annotations": []}
{"role": "student", "content": "-8, right?", "session_id": 16254, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "Mhm, yeah, exact", "session_id": 16254, "sequence_id": 72, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 16254, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "So it'd be 28, and we could put that as a point on the graph, and where would like the matching point before it?", "session_id": 16254, "sequence_id": 74, "annotations": []}
{"role": "student", "content": "Uh, 8 or 28.", "session_id": 16254, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "Mhm. Perfect. So just be right here. And then we could just go ahead and now we can form our parabola and just draw it out. So honestly, all we really did is we plugged in different points.", "session_id": 16254, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "and we got this. You can plug in any numbers. So we just did 0", "session_id": 16254, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "1 and 2, but you can do anything. You can do like", "session_id": 16254, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "preferably you want to plug in like something on the X axis, right? You want to do like -10", "session_id": 16254, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "all the way up until 10, like any value here. You don't want to do like 32.", "session_id": 16254, "sequence_id": 80, "annotations": []}
{"role": "volunteer", "content": "You want to do something here and then hopefully it'll match up.", "session_id": 16254, "sequence_id": 81, "annotations": []}
{"role": "volunteer", "content": "on the graph", "session_id": 16254, "sequence_id": 82, "annotations": []}
{"role": "student", "content": "All right", "session_id": 16254, "sequence_id": 83, "annotations": []}
{"role": "volunteer", "content": "Yeah, so let me know if you have any other questions or anything else that I can help you with.", "session_id": 16254, "sequence_id": 84, "annotations": []}
{"role": "student", "content": "Um", "session_id": 16254, "sequence_id": 85, "annotations": []}
{"role": "student", "content": "yeah, no, I think I get it now. Thank you.", "session_id": 16254, "sequence_id": 86, "annotations": []}
{"role": "volunteer", "content": "Yeah, of course", "session_id": 16254, "sequence_id": 87, "annotations": []}
{"role": "volunteer", "content": "Hi!", "session_id": 16221, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "Hello", "session_id": 16221, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "How can I help you today?", "session_id": 16221, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "just 16 and 17 today", "session_id": 16221, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "Ok let me see", "session_id": 16221, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "I need to learn how to make equations today thats my main goal", "session_id": 16221, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "Yeah so the key here is that you start with setting up letters", "session_id": 16221, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "So in the last sentence you see how the question says \"How many bags of chips 'b'\"?", "session_id": 16221, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 16221, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "That's an example. You assign a random letter to things you're not sure about", "session_id": 16221, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "What else do we not know? In question 16", "session_id": 16221, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "5 sandwiches and 6$ each and spent 42", "session_id": 16221, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "So what's the value that we don't know yet?", "session_id": 16221, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "Oh wait", "session_id": 16221, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "Sorry yeah we can just solve it from there", "session_id": 16221, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "Ok", "session_id": 16221, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "So $6 for each sandwich", "session_id": 16221, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "If we didn't buy any bags of chips, how much would 5 sandwiches cost?", "session_id": 16221, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "5x6 right?", "session_id": 16221, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "Yep", "session_id": 16221, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "so 30", "session_id": 16221, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "You got it", "session_id": 16221, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "But how much did we actually spend? based on the question", "session_id": 16221, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "42", "session_id": 16221, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "Right so keep that number in mind for now", "session_id": 16221, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "And now let's see how much each bag of chips cost", "session_id": 16221, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "costs", "session_id": 16221, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "Can you guess based on the sentence I highlighted?", "session_id": 16221, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "each sanwich cost 3x as much as bag of chips", "session_id": 16221, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "Yes and we know that each sandwich costs $6", "session_id": 16221, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "Yes.", "session_id": 16221, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "18 per chip", "session_id": 16221, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "Almost there", "session_id": 16221, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "But it says each sandwich costs 3x as much as bag of chips, not the other way around", "session_id": 16221, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "I think you came to 18 by doing 6x3", "session_id": 16221, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "But actually what we need to do is 6/3", "session_id": 16221, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "three times? as in mutiplication?", "session_id": 16221, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "(each chip) x 3 = (each sandwich)", "session_id": 16221, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "This is what the question was saying", "session_id": 16221, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "And we know that (each sandwich) = 6", "session_id": 16221, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "Which gives us (each chip) x 3 = 6", "session_id": 16221, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "That's why I did 6/3 to get (each chip)", "session_id": 16221, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "sorry just clarify a bit more", "session_id": 16221, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "each sandwich costs 3 times a much as a chip", "session_id": 16221, "sequence_id": 43, "annotations": []}
{"role": "student", "content": "one sandiwch cost 6, and three times as much", "session_id": 16221, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "Take the word 'costs' as an equal sign", "session_id": 16221, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "so 6x3, I know your right just i dont understand", "session_id": 16221, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "and 'as much as' as a multiplication sign", "session_id": 16221, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "each sandwich \"cost\" three times \"as much as\" a bag of chips", "session_id": 16221, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "If we do that conversion, it turns into", "session_id": 16221, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "each sandwich = 3 x a bag of chips", "session_id": 16221, "sequence_id": 50, "annotations": []}
{"role": "student", "content": "ok so 6 divided by 3?", "session_id": 16221, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "Exactly", "session_id": 16221, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "So a bag of chips costs?", "session_id": 16221, "sequence_id": 53, "annotations": []}
{"role": "student", "content": "2", "session_id": 16221, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "You got it", "session_id": 16221, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "So let's go back to the last sentence of the question", "session_id": 16221, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "You said it would cost 30 if we only get 6 sandwiches right?", "session_id": 16221, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "But what we actually spent was 42", "session_id": 16221, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "which means bags of chips cost 42-30 = 12 dollars", "session_id": 16221, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "Do you get this equation? Or I can also elaborate", "session_id": 16221, "sequence_id": 60, "annotations": []}
{"role": "student", "content": "whys that there", "session_id": 16221, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "each sandwich costs 6 right", "session_id": 16221, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "and we bought 5 sandwiches according to the question", "session_id": 16221, "sequence_id": 63, "annotations": []}
{"role": "student", "content": "yes", "session_id": 16221, "sequence_id": 64, "annotations": []}
{"role": "student", "content": "ok and 2xb?", "session_id": 16221, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "Each bag of chips costs how much?", "session_id": 16221, "sequence_id": 66, "annotations": []}
{"role": "student", "content": "2", "session_id": 16221, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "And for \"b,\" let's check the last sentence one more time", "session_id": 16221, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "How many bags of chip b did she buy?", "session_id": 16221, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "So b is the number of bags of chips", "session_id": 16221, "sequence_id": 70, "annotations": []}
{"role": "student", "content": "b is the unkown", "session_id": 16221, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "Yep you got it", "session_id": 16221, "sequence_id": 72, "annotations": []}
{"role": "student", "content": "is there a way to write this without using mutiplication signs", "session_id": 16221, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "You can just say 2b instead of 2xb", "session_id": 16221, "sequence_id": 74, "annotations": []}
{"role": "volunteer", "content": "Caught up so far?", "session_id": 16221, "sequence_id": 75, "annotations": []}
{"role": "student", "content": "yes", "session_id": 16221, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "Now let's solve this equation", "session_id": 16221, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "Do you wanna give it a try?", "session_id": 16221, "sequence_id": 78, "annotations": []}
{"role": "student", "content": "yes", "session_id": 16221, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "Yup go ahead", "session_id": 16221, "sequence_id": 80, "annotations": []}
{"role": "volunteer", "content": "Correct", "session_id": 16221, "sequence_id": 81, "annotations": []}
{"role": "volunteer", "content": "So answer is 6", "session_id": 16221, "sequence_id": 82, "annotations": []}
{"role": "volunteer", "content": "Got it? Let me know if you have any questions about number 16", "session_id": 16221, "sequence_id": 83, "annotations": []}
{"role": "volunteer", "content": "Or we can move onto question 17", "session_id": 16221, "sequence_id": 84, "annotations": []}
{"role": "student", "content": "move on", "session_id": 16221, "sequence_id": 85, "annotations": []}
{"role": "volunteer", "content": "Ok can I erase everything on the board?", "session_id": 16221, "sequence_id": 86, "annotations": []}
{"role": "student", "content": "yes", "session_id": 16221, "sequence_id": 87, "annotations": []}
{"role": "volunteer", "content": "Number 17 - the most important concept here is speed", "session_id": 16221, "sequence_id": 88, "annotations": []}
{"role": "volunteer", "content": "speed is simply things like mph or miles per minute those kinds of things", "session_id": 16221, "sequence_id": 89, "annotations": []}
{"role": "student", "content": "this is the hardest one", "session_id": 16221, "sequence_id": 90, "annotations": []}
{"role": "volunteer", "content": "Well I'm sure you can easily solve it once you get the hang of it", "session_id": 16221, "sequence_id": 91, "annotations": []}
{"role": "volunteer", "content": "Let's read the first two sentences", "session_id": 16221, "sequence_id": 92, "annotations": []}
{"role": "volunteer", "content": "So it took Leo 30minutes to ride 3.2 mi right?", "session_id": 16221, "sequence_id": 93, "annotations": [{"pii_type": "PERSON", "surrogate": "Leo", "start": 11, "end": 14}]}
{"role": "student", "content": "yes", "session_id": 16221, "sequence_id": 94, "annotations": []}
{"role": "volunteer", "content": "so how many miles per minute?", "session_id": 16221, "sequence_id": 95, "annotations": []}
{"role": "student", "content": "3.2/30?", "session_id": 16221, "sequence_id": 96, "annotations": []}
{"role": "volunteer", "content": "Yep that's correct", "session_id": 16221, "sequence_id": 97, "annotations": []}
{"role": "student", "content": "0.106", "session_id": 16221, "sequence_id": 98, "annotations": []}
{"role": "volunteer", "content": "thanks", "session_id": 16221, "sequence_id": 99, "annotations": []}
{"role": "volunteer", "content": "so that's the speed we're looking for", "session_id": 16221, "sequence_id": 100, "annotations": []}
{"role": "volunteer", "content": "Let's keep reading the question - after the appointment, what time is it?", "session_id": 16221, "sequence_id": 101, "annotations": []}
{"role": "student", "content": "5:30", "session_id": 16221, "sequence_id": 102, "annotations": []}
{"role": "volunteer", "content": "Right", "session_id": 16221, "sequence_id": 103, "annotations": []}
{"role": "volunteer", "content": "And then the question says that he rode a bus for 4.8 miles to the soccer field after the appointment right?", "session_id": 16221, "sequence_id": 104, "annotations": []}
{"role": "volunteer", "content": "But does it directly tell you how many minutes he rode a bus to the soccer field?", "session_id": 16221, "sequence_id": 105, "annotations": []}
{"role": "student", "content": "no but the speed there", "session_id": 16221, "sequence_id": 106, "annotations": []}
{"role": "volunteer", "content": "Exactly", "session_id": 16221, "sequence_id": 107, "annotations": []}
{"role": "volunteer", "content": "So why don't we first set minutes as an unknown \"x\"?", "session_id": 16221, "sequence_id": 108, "annotations": []}
{"role": "student", "content": "yes", "session_id": 16221, "sequence_id": 109, "annotations": []}
{"role": "volunteer", "content": "And you said the speed is 0.106 mi per min", "session_id": 16221, "sequence_id": 110, "annotations": []}
{"role": "volunteer", "content": "What do you get for x?", "session_id": 16221, "sequence_id": 111, "annotations": []}
{"role": "student", "content": "wait let me backtrack", "session_id": 16221, "sequence_id": 112, "annotations": []}
{"role": "volunteer", "content": "Yep what are you confused about?", "session_id": 16221, "sequence_id": 113, "annotations": []}
{"role": "student", "content": "ok i understand", "session_id": 16221, "sequence_id": 114, "annotations": []}
{"role": "volunteer", "content": "Sounds good. So what's x?", "session_id": 16221, "sequence_id": 115, "annotations": []}
{"role": "student", "content": "0.106 x 4.8?", "session_id": 16221, "sequence_id": 116, "annotations": []}
{"role": "student", "content": "or divison", "session_id": 16221, "sequence_id": 117, "annotations": []}
{"role": "volunteer", "content": "division", "session_id": 16221, "sequence_id": 118, "annotations": []}
{"role": "volunteer", "content": "cuz here 'x' is an unknown letter, not a multiplication sign", "session_id": 16221, "sequence_id": 119, "annotations": []}
{"role": "student", "content": "0.508", "session_id": 16221, "sequence_id": 120, "annotations": []}
{"role": "volunteer", "content": "You sure you did 4.8/0.106?", "session_id": 16221, "sequence_id": 121, "annotations": []}
{"role": "student", "content": "45.2", "session_id": 16221, "sequence_id": 122, "annotations": []}
{"role": "volunteer", "content": "So roughly 45 minutes right", "session_id": 16221, "sequence_id": 123, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 16221, "sequence_id": 124, "annotations": []}
{"role": "volunteer", "content": "And the appointment ended at 5:30pm", "session_id": 16221, "sequence_id": 125, "annotations": []}
{"role": "volunteer", "content": "so 45 minutes after 5:30pm is what time", "session_id": 16221, "sequence_id": 126, "annotations": []}
{"role": "student", "content": "6:15", "session_id": 16221, "sequence_id": 127, "annotations": []}
{"role": "volunteer", "content": "Is Leo on time for his 6:30pm soccer practice?", "session_id": 16221, "sequence_id": 128, "annotations": [{"pii_type": "PERSON", "surrogate": "Leo", "start": 3, "end": 6}]}
{"role": "student", "content": "yes he is early", "session_id": 16221, "sequence_id": 129, "annotations": []}
{"role": "volunteer", "content": "Right? That's it", "session_id": 16221, "sequence_id": 130, "annotations": []}
{"role": "student", "content": "Thank you alot", "session_id": 16221, "sequence_id": 131, "annotations": []}
{"role": "student", "content": "Just 2 more simple questions", "session_id": 16221, "sequence_id": 132, "annotations": []}
{"role": "volunteer", "content": "Ofc go ahead", "session_id": 16221, "sequence_id": 133, "annotations": []}
{"role": "student", "content": "is number 18 just distributing?", "session_id": 16221, "sequence_id": 134, "annotations": []}
{"role": "volunteer", "content": "Yeah distribution", "session_id": 16221, "sequence_id": 135, "annotations": []}
{"role": "student", "content": "and how do you solve 3?", "session_id": 16221, "sequence_id": 136, "annotations": []}
{"role": "volunteer", "content": "I see you added 8 on each side for the first step", "session_id": 16221, "sequence_id": 137, "annotations": []}
{"role": "volunteer", "content": "You're actually on a right track", "session_id": 16221, "sequence_id": 138, "annotations": []}
{"role": "volunteer", "content": "First multiply each side by 4 and show me what you get", "session_id": 16221, "sequence_id": 139, "annotations": []}
{"role": "student", "content": "is that correct", "session_id": 16221, "sequence_id": 140, "annotations": []}
{"role": "volunteer", "content": "Yep that's correct", "session_id": 16221, "sequence_id": 141, "annotations": []}
{"role": "volunteer", "content": "And divide each side by 2?", "session_id": 16221, "sequence_id": 142, "annotations": []}
{"role": "student", "content": "thats the way my teacher wants", "session_id": 16221, "sequence_id": 143, "annotations": []}
{"role": "volunteer", "content": "Oh ok that's no problem", "session_id": 16221, "sequence_id": 144, "annotations": []}
{"role": "volunteer", "content": "You can still divide each side by 2 after distribution", "session_id": 16221, "sequence_id": 145, "annotations": []}
{"role": "student", "content": "does the left side fully cancel out", "session_id": 16221, "sequence_id": 146, "annotations": []}
{"role": "student", "content": "and we are only left with right", "session_id": 16221, "sequence_id": 147, "annotations": []}
{"role": "volunteer", "content": "If we divide both sides by 2, it's gonna give us:", "session_id": 16221, "sequence_id": 148, "annotations": []}
{"role": "volunteer", "content": "Are you confused with the concept of dividing both sides?", "session_id": 16221, "sequence_id": 149, "annotations": []}
{"role": "student", "content": "no", "session_id": 16221, "sequence_id": 150, "annotations": []}
{"role": "volunteer", "content": "Then do you get how I got to r-3 = 161 by dividing both sides by 2?", "session_id": 16221, "sequence_id": 151, "annotations": []}
{"role": "student", "content": "2 divided by 2r cancled out the 2 just leaving r, 2 divided 6 is 3, 2 divided 232 is 116]", "session_id": 16221, "sequence_id": 152, "annotations": []}
{"role": "volunteer", "content": "Yep exactly", "session_id": 16221, "sequence_id": 153, "annotations": []}
{"role": "volunteer", "content": "So can we solve for r now?", "session_id": 16221, "sequence_id": 154, "annotations": []}
{"role": "student", "content": "164 final answer?", "session_id": 16221, "sequence_id": 155, "annotations": []}
{"role": "volunteer", "content": "Correct", "session_id": 16221, "sequence_id": 156, "annotations": []}
{"role": "volunteer", "content": "That's how you solve that question", "session_id": 16221, "sequence_id": 157, "annotations": []}
{"role": "volunteer", "content": "Mix of multiplication, division, and addition", "session_id": 16221, "sequence_id": 158, "annotations": []}
{"role": "student", "content": "Thank you", "session_id": 16221, "sequence_id": 159, "annotations": []}
{"role": "student", "content": "I just realized this is going to be a long year", "session_id": 16221, "sequence_id": 160, "annotations": []}
{"role": "student", "content": "this is so hard and i just started school", "session_id": 16221, "sequence_id": 161, "annotations": []}
{"role": "student", "content": "Have a good night", "session_id": 16221, "sequence_id": 162, "annotations": []}
{"role": "volunteer", "content": "Yeah it's hard cause you're learning a lot of new stuff in algebra 1", "session_id": 16221, "sequence_id": 163, "annotations": []}
{"role": "volunteer", "content": "But guess what", "session_id": 16221, "sequence_id": 164, "annotations": []}
{"role": "volunteer", "content": "You're gonna be reusing the same concepts you learned in algebra 1", "session_id": 16221, "sequence_id": 165, "annotations": []}
{"role": "volunteer", "content": "Which means it's only gonna get easier and easier over time", "session_id": 16221, "sequence_id": 166, "annotations": []}
{"role": "student", "content": "Thats great", "session_id": 16221, "sequence_id": 167, "annotations": []}
{"role": "volunteer", "content": "So don't worry it's just one challenge you need to overcome", "session_id": 16221, "sequence_id": 168, "annotations": []}
{"role": "student", "content": "Thank you for making me feel better, Have a good night!", "session_id": 16221, "sequence_id": 169, "annotations": []}
{"role": "volunteer", "content": "Alright have a good night!", "session_id": 16221, "sequence_id": 170, "annotations": []}
{"role": "volunteer", "content": "Hello, Liam! I hope you are doing well. What did you bring with you today?", "session_id": 16143, "sequence_id": 0, "annotations": [{"pii_type": "PERSON", "surrogate": "Liam", "start": 7, "end": 11}]}
{"role": "student", "content": "hello i need help with 8.2 apply properties of rational exponents", "session_id": 16143, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "Do you have a homework assignment on this? Could you post an example?", "session_id": 16143, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "yup", "session_id": 16143, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "give me 5 min", "session_id": 16143, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "im trying to finding it", "session_id": 16143, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "Ok no problem", "session_id": 16143, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "This seems to be a different concept than the rational exponents. Did you want help on the composite functions?", "session_id": 16143, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "We can do that", "session_id": 16143, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "yh that", "session_id": 16143, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "mb", "session_id": 16143, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "Ok so if we go through this machine analogy it might make more sense", "session_id": 16143, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "It might be easier if I speak into the mic", "session_id": 16143, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "Hello, can you hear me?", "session_id": 16143, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "Mhm", "session_id": 16143, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "Yeah, I can hear you", "session_id": 16143, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "Oops", "session_id": 16143, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "OK. All right. So", "session_id": 16143, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "I think it would make sense first.", "session_id": 16143, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "if we", "session_id": 16143, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "look over what functions are. So, could you fill out", "session_id": 16143, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "this table", "session_id": 16143, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "with VFX", "session_id": 16143, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "So", "session_id": 16143, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "it says GFX is", "session_id": 16143, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "3 X", "session_id": 16143, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "minus 2", "session_id": 16143, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "and X is uh", "session_id": 16143, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "well, X can be any real number, I guess, so", "session_id": 16143, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "It says here -3.", "session_id": 16143, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "and 2", "session_id": 16143, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "Do you know how to get the output.", "session_id": 16143, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "Mhm. I, I know. Simple.", "session_id": 16143, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "so", "session_id": 16143, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "So", "session_id": 16143, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "and this one,", "session_id": 16143, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "let me exchange the color", "session_id": 16143, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "red", "session_id": 16143, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "Mhm.", "session_id": 16143, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "It's been -8.", "session_id": 16143, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "How did you get that?", "session_id": 16143, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "So", "session_id": 16143, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "I just put the machine, so in -3 I plugged in for the first one I plugged in -3 + 1.", "session_id": 16143, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "Oh", "session_id": 16143, "sequence_id": 43, "annotations": []}
{"role": "student", "content": "which is, I think, for, and then after that, I plugged in the edge of the output and plug in GX, which it, which we can", "session_id": 16143, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 16143, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "So", "session_id": 16143, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "uh", "session_id": 16143, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "that's a little bit further ahead. I'm just talking about this one.", "session_id": 16143, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "I'm not talking about the composite yet.", "session_id": 16143, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "So this one is", "session_id": 16143, "sequence_id": 50, "annotations": []}
{"role": "student", "content": "Oh, so", "session_id": 16143, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "3 x minus 2", "session_id": 16143, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "I think you have the right idea though.", "session_id": 16143, "sequence_id": 53, "annotations": []}
{"role": "student", "content": "oh", "session_id": 16143, "sequence_id": 54, "annotations": []}
{"role": "student", "content": "my bad. Oh", "session_id": 16143, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "It's OK.", "session_id": 16143, "sequence_id": 56, "annotations": []}
{"role": "student", "content": "oh, for this 13 times negative, that will equal. That'd be negative 1.", "session_id": 16143, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 16143, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 16143, "sequence_id": 59, "annotations": []}
{"role": "student", "content": "So this one is 6 + 2 between 8", "session_id": 16143, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "Mhm", "session_id": 16143, "sequence_id": 61, "annotations": []}
{"role": "student", "content": "Mm", "session_id": 16143, "sequence_id": 62, "annotations": []}
{"role": "student", "content": "other times 3, it'll be 3 X, it'll be -5.", "session_id": 16143, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "Yup", "session_id": 16143, "sequence_id": 64, "annotations": []}
{"role": "student", "content": "So 3 times 0 would be 0, so obviously it's going to be negative too. Uh", "session_id": 16143, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "Mhm", "session_id": 16143, "sequence_id": 66, "annotations": []}
{"role": "student", "content": "so 3 times, so this was one.", "session_id": 16143, "sequence_id": 67, "annotations": []}
{"role": "student", "content": "yeah, positive one cause.", "session_id": 16143, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 16143, "sequence_id": 69, "annotations": []}
{"role": "student", "content": "and 3 times plus 6.", "session_id": 16143, "sequence_id": 70, "annotations": []}
{"role": "student", "content": "will be 4 this one", "session_id": 16143, "sequence_id": 71, "annotations": []}
{"role": "student", "content": "4", "session_id": 16143, "sequence_id": 72, "annotations": []}
{"role": "student", "content": "and then this one, daytime 3 is 99 minus 2 will be 7.", "session_id": 16143, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 16143, "sequence_id": 74, "annotations": []}
{"role": "student", "content": "Got it", "session_id": 16143, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "So the, the point of that is essentially, it's the same idea.", "session_id": 16143, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "but there's an extra step. So", "session_id": 16143, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "when we talk about a composite", "session_id": 16143, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "if we're talking about G", "session_id": 16143, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "let's see, of F of X.", "session_id": 16143, "sequence_id": 80, "annotations": []}
{"role": "volunteer", "content": "right here", "session_id": 16143, "sequence_id": 81, "annotations": []}
{"role": "volunteer", "content": "We're passing through this, this number.", "session_id": 16143, "sequence_id": 82, "annotations": []}
{"role": "volunteer", "content": "through F of X, that machine you could call it.", "session_id": 16143, "sequence_id": 83, "annotations": []}
{"role": "volunteer", "content": "So we're getting the output of that machine.", "session_id": 16143, "sequence_id": 84, "annotations": []}
{"role": "volunteer", "content": "and then we're inputting it into this machine.", "session_id": 16143, "sequence_id": 85, "annotations": []}
{"role": "volunteer", "content": "So when we talk about the composite,", "session_id": 16143, "sequence_id": 86, "annotations": []}
{"role": "volunteer", "content": "it's a very similar idea.", "session_id": 16143, "sequence_id": 87, "annotations": []}
{"role": "volunteer", "content": "So let's see", "session_id": 16143, "sequence_id": 88, "annotations": []}
{"role": "volunteer", "content": "Let's try 0.", "session_id": 16143, "sequence_id": 89, "annotations": []}
{"role": "volunteer", "content": "1, and 2", "session_id": 16143, "sequence_id": 90, "annotations": []}
{"role": "volunteer", "content": "So you, you know how functions work.", "session_id": 16143, "sequence_id": 91, "annotations": []}
{"role": "volunteer", "content": "so,", "session_id": 16143, "sequence_id": 92, "annotations": []}
{"role": "volunteer", "content": "essentially what we're doing is", "session_id": 16143, "sequence_id": 93, "annotations": []}
{"role": "volunteer", "content": "we're going from", "session_id": 16143, "sequence_id": 94, "annotations": []}
{"role": "volunteer", "content": "the inside", "session_id": 16143, "sequence_id": 95, "annotations": []}
{"role": "volunteer", "content": "F of X", "session_id": 16143, "sequence_id": 96, "annotations": []}
{"role": "student", "content": "What shape", "session_id": 16143, "sequence_id": 97, "annotations": []}
{"role": "volunteer", "content": "and the output of that becomes the input", "session_id": 16143, "sequence_id": 98, "annotations": []}
{"role": "student", "content": "No", "session_id": 16143, "sequence_id": 99, "annotations": []}
{"role": "volunteer", "content": "of G of X. So it might help to try, try a couple.", "session_id": 16143, "sequence_id": 100, "annotations": []}
{"role": "volunteer", "content": "with it.", "session_id": 16143, "sequence_id": 101, "annotations": []}
{"role": "volunteer", "content": "Mhm.", "session_id": 16143, "sequence_id": 102, "annotations": []}
{"role": "student", "content": "So just like plugging it in. So I think I got what you mean. So I think says X + 1. So if you put 0,", "session_id": 16143, "sequence_id": 103, "annotations": []}
{"role": "volunteer", "content": "Yeah.", "session_id": 16143, "sequence_id": 104, "annotations": []}
{"role": "volunteer", "content": "Mm", "session_id": 16143, "sequence_id": 105, "annotations": []}
{"role": "student", "content": "uh 0 + 1 which is 1.", "session_id": 16143, "sequence_id": 106, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 16143, "sequence_id": 107, "annotations": []}
{"role": "student", "content": "I see. So what then that means X is 1, so we put G F X", "session_id": 16143, "sequence_id": 108, "annotations": []}
{"role": "volunteer", "content": "Mhm.", "session_id": 16143, "sequence_id": 109, "annotations": []}
{"role": "student", "content": "Wait, that means again one?", "session_id": 16143, "sequence_id": 110, "annotations": []}
{"role": "student", "content": "Wait, no.", "session_id": 16143, "sequence_id": 111, "annotations": []}
{"role": "volunteer", "content": "Yeah, so she, uh, if you wanna write it out, G of F of 0.", "session_id": 16143, "sequence_id": 112, "annotations": []}
{"role": "volunteer", "content": "equals G of 1.", "session_id": 16143, "sequence_id": 113, "annotations": []}
{"role": "volunteer", "content": "and we did that already, or you did it actually.", "session_id": 16143, "sequence_id": 114, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 16143, "sequence_id": 115, "annotations": []}
{"role": "volunteer", "content": "right? You got one right there.", "session_id": 16143, "sequence_id": 116, "annotations": []}
{"role": "student", "content": "Oh", "session_id": 16143, "sequence_id": 117, "annotations": []}
{"role": "volunteer", "content": "Mhm.", "session_id": 16143, "sequence_id": 118, "annotations": []}
{"role": "student", "content": "Uh", "session_id": 16143, "sequence_id": 119, "annotations": []}
{"role": "volunteer", "content": "How about you one.", "session_id": 16143, "sequence_id": 120, "annotations": []}
{"role": "volunteer", "content": "or GFF of 1", "session_id": 16143, "sequence_id": 121, "annotations": []}
{"role": "student", "content": "OK, so, so one", "session_id": 16143, "sequence_id": 122, "annotations": []}
{"role": "student", "content": "so one plus 1 is obviously 2.", "session_id": 16143, "sequence_id": 123, "annotations": []}
{"role": "student", "content": "and then", "session_id": 16143, "sequence_id": 124, "annotations": []}
{"role": "student", "content": "C X, OK, G X", "session_id": 16143, "sequence_id": 125, "annotations": []}
{"role": "student", "content": "So 22 times 3 would be 6.", "session_id": 16143, "sequence_id": 126, "annotations": []}
{"role": "student", "content": "Uh, 6 minus 2 would be 4, that'll be 4.", "session_id": 16143, "sequence_id": 127, "annotations": []}
{"role": "volunteer", "content": "Yeah, exactly", "session_id": 16143, "sequence_id": 128, "annotations": []}
{"role": "student", "content": "And then same thing goes as, as another, right?", "session_id": 16143, "sequence_id": 129, "annotations": []}
{"role": "volunteer", "content": "Mhm", "session_id": 16143, "sequence_id": 130, "annotations": []}
{"role": "student", "content": "So 2 + 1 is 3, and then", "session_id": 16143, "sequence_id": 131, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 16143, "sequence_id": 132, "annotations": []}
{"role": "student", "content": "so", "session_id": 16143, "sequence_id": 133, "annotations": []}
{"role": "student", "content": "and then 3 times, 399 x 2 would be 7.", "session_id": 16143, "sequence_id": 134, "annotations": []}
{"role": "volunteer", "content": "exactly. So if it helps you", "session_id": 16143, "sequence_id": 135, "annotations": []}
{"role": "volunteer", "content": "you're still just putting the number inside.", "session_id": 16143, "sequence_id": 136, "annotations": []}
{"role": "student", "content": "Oh", "session_id": 16143, "sequence_id": 137, "annotations": []}
{"role": "volunteer", "content": "Does this, this expression is just gonna be a number.", "session_id": 16143, "sequence_id": 138, "annotations": []}
{"role": "volunteer", "content": "and it's gonna look like this table, the first table we made.", "session_id": 16143, "sequence_id": 139, "annotations": []}
{"role": "volunteer", "content": "So composite functions", "session_id": 16143, "sequence_id": 140, "annotations": []}
{"role": "student", "content": "Hm", "session_id": 16143, "sequence_id": 141, "annotations": []}
{"role": "volunteer", "content": "it's um", "session_id": 16143, "sequence_id": 142, "annotations": []}
{"role": "volunteer", "content": "essentially we're doing a function inside the function or the output of this function you draw a line, right?", "session_id": 16143, "sequence_id": 143, "annotations": []}
{"role": "volunteer", "content": "We have an output here", "session_id": 16143, "sequence_id": 144, "annotations": []}
{"role": "volunteer", "content": "It's going to become the input.", "session_id": 16143, "sequence_id": 145, "annotations": []}
{"role": "volunteer", "content": "of this function", "session_id": 16143, "sequence_id": 146, "annotations": []}
{"role": "volunteer", "content": "And it, it works actually, um,", "session_id": 16143, "sequence_id": 147, "annotations": []}
{"role": "volunteer", "content": "from the inside out. So you could just keep doing this if you want. If, for example", "session_id": 16143, "sequence_id": 148, "annotations": []}
{"role": "volunteer", "content": "how would we do F of", "session_id": 16143, "sequence_id": 149, "annotations": []}
{"role": "student", "content": "Uh", "session_id": 16143, "sequence_id": 150, "annotations": []}
{"role": "volunteer", "content": "GFX", "session_id": 16143, "sequence_id": 151, "annotations": []}
{"role": "volunteer", "content": "How would that be different", "session_id": 16143, "sequence_id": 152, "annotations": []}
{"role": "student", "content": "Uh, let me see.", "session_id": 16143, "sequence_id": 153, "annotations": []}
{"role": "student", "content": "So basically", "session_id": 16143, "sequence_id": 154, "annotations": []}
{"role": "student", "content": "so we solve, you want us to solve it", "session_id": 16143, "sequence_id": 155, "annotations": []}
{"role": "student", "content": "Wait", "session_id": 16143, "sequence_id": 156, "annotations": []}
{"role": "student", "content": "if you want, it's the same thing, right?", "session_id": 16143, "sequence_id": 157, "annotations": []}
{"role": "volunteer", "content": "Mhm. That's the same idea.", "session_id": 16143, "sequence_id": 158, "annotations": []}
{"role": "student", "content": "Uh, and no matter how it's switched, there's the same idea, right?", "session_id": 16143, "sequence_id": 159, "annotations": []}
{"role": "volunteer", "content": "Yeah, it's the same idea except", "session_id": 16143, "sequence_id": 160, "annotations": []}
{"role": "volunteer", "content": "it is a different uh", "session_id": 16143, "sequence_id": 161, "annotations": []}
{"role": "volunteer", "content": "it would go the other way", "session_id": 16143, "sequence_id": 162, "annotations": []}
{"role": "volunteer", "content": "I don't know if that makes any sense. Hopefully that makes sense.", "session_id": 16143, "sequence_id": 163, "annotations": []}
{"role": "student", "content": "Yeah, that's.", "session_id": 16143, "sequence_id": 164, "annotations": []}
{"role": "student", "content": "I got you", "session_id": 16143, "sequence_id": 165, "annotations": []}
{"role": "student", "content": "OK", "session_id": 16143, "sequence_id": 166, "annotations": []}
{"role": "student", "content": "And so for this one, how to explain how the function machine do it just explain how was it, just like what we did right now.", "session_id": 16143, "sequence_id": 167, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 16143, "sequence_id": 168, "annotations": []}
{"role": "volunteer", "content": "Uh, let's see, explain how side by side", "session_id": 16143, "sequence_id": 169, "annotations": []}
{"role": "volunteer", "content": "yeah", "session_id": 16143, "sequence_id": 170, "annotations": []}
{"role": "volunteer", "content": "So I don't know if that analogy with the machine.", "session_id": 16143, "sequence_id": 171, "annotations": []}
{"role": "volunteer", "content": "Hope that makes more sense", "session_id": 16143, "sequence_id": 172, "annotations": []}
{"role": "volunteer", "content": "But essentially we", "session_id": 16143, "sequence_id": 173, "annotations": []}
{"role": "volunteer", "content": "we're getting the input, so you have to get F of X first.", "session_id": 16143, "sequence_id": 174, "annotations": []}
{"role": "volunteer", "content": "and then that", "session_id": 16143, "sequence_id": 175, "annotations": []}
{"role": "volunteer", "content": "is the value where it becomes the input for the next function.", "session_id": 16143, "sequence_id": 176, "annotations": []}
{"role": "volunteer", "content": "This could go on, on and on, actually, you could keep", "session_id": 16143, "sequence_id": 177, "annotations": []}
{"role": "volunteer", "content": "having more functions if you want it.", "session_id": 16143, "sequence_id": 178, "annotations": []}
{"role": "volunteer", "content": "You have a H right here", "session_id": 16143, "sequence_id": 179, "annotations": []}
{"role": "student", "content": "OK, so", "session_id": 16143, "sequence_id": 180, "annotations": []}
{"role": "volunteer", "content": "but that's not, uh, maybe that's too much information.", "session_id": 16143, "sequence_id": 181, "annotations": []}
{"role": "student", "content": "the armpit, then goes to the 2nd machine GX", "session_id": 16143, "sequence_id": 182, "annotations": []}
{"role": "student", "content": "GX, which", "session_id": 16143, "sequence_id": 183, "annotations": []}
{"role": "student", "content": "Moly.", "session_id": 16143, "sequence_id": 184, "annotations": []}
{"role": "student", "content": "3 and", "session_id": 16143, "sequence_id": 185, "annotations": []}
{"role": "student", "content": "subtract", "session_id": 16143, "sequence_id": 186, "annotations": []}
{"role": "student", "content": "so that to me she makes it so.", "session_id": 16143, "sequence_id": 187, "annotations": []}
{"role": "student", "content": "GFX", "session_id": 16143, "sequence_id": 188, "annotations": []}
{"role": "student", "content": "Um.", "session_id": 16143, "sequence_id": 189, "annotations": []}
{"role": "student", "content": "got it. So there's a", "session_id": 16143, "sequence_id": 190, "annotations": []}
{"role": "student", "content": "OK", "session_id": 16143, "sequence_id": 191, "annotations": []}
{"role": "volunteer", "content": "Mhm.", "session_id": 16143, "sequence_id": 192, "annotations": []}
{"role": "student", "content": "Can we do another poem, if you don't mind?", "session_id": 16143, "sequence_id": 193, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 16143, "sequence_id": 194, "annotations": []}
{"role": "student", "content": "Um, let's just say here, let me type it up cause I don't, I can't screenshot a lot.", "session_id": 16143, "sequence_id": 195, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 16143, "sequence_id": 196, "annotations": []}
{"role": "student", "content": "FN X", "session_id": 16143, "sequence_id": 197, "annotations": []}
{"role": "student", "content": "equals", "session_id": 16143, "sequence_id": 198, "annotations": []}
{"role": "student", "content": "minus 3", "session_id": 16143, "sequence_id": 199, "annotations": []}
{"role": "student", "content": "6", "session_id": 16143, "sequence_id": 200, "annotations": []}
{"role": "student", "content": "1", "session_id": 16143, "sequence_id": 201, "annotations": []}
{"role": "student", "content": "3", "session_id": 16143, "sequence_id": 202, "annotations": []}
{"role": "student", "content": "+ 4 x.", "session_id": 16143, "sequence_id": 203, "annotations": []}
{"role": "student", "content": "1/2", "session_id": 16143, "sequence_id": 204, "annotations": []}
{"role": "student", "content": "And she let it be", "session_id": 16143, "sequence_id": 205, "annotations": []}
{"role": "student", "content": "those 5X", "session_id": 16143, "sequence_id": 206, "annotations": []}
{"role": "student", "content": "1/3", "session_id": 16143, "sequence_id": 207, "annotations": []}
{"role": "student", "content": "plus 4 eggs", "session_id": 16143, "sequence_id": 208, "annotations": []}
{"role": "student", "content": "1/2", "session_id": 16143, "sequence_id": 209, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 16143, "sequence_id": 210, "annotations": []}
{"role": "volunteer", "content": "3", "session_id": 16143, "sequence_id": 211, "annotations": []}
{"role": "student", "content": "So", "session_id": 16143, "sequence_id": 212, "annotations": []}
{"role": "student", "content": "there's like", "session_id": 16143, "sequence_id": 213, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 16143, "sequence_id": 214, "annotations": []}
{"role": "student", "content": "kind of like three problems when it stays like this, hold on, let's do it.", "session_id": 16143, "sequence_id": 215, "annotations": []}
{"role": "volunteer", "content": "Uh-huh", "session_id": 16143, "sequence_id": 216, "annotations": []}
{"role": "student", "content": "F", "session_id": 16143, "sequence_id": 217, "annotations": []}
{"role": "student", "content": "and this is X + G.", "session_id": 16143, "sequence_id": 218, "annotations": []}
{"role": "student", "content": "X", "session_id": 16143, "sequence_id": 219, "annotations": []}
{"role": "student", "content": "plus", "session_id": 16143, "sequence_id": 220, "annotations": []}
{"role": "student", "content": "J X", "session_id": 16143, "sequence_id": 221, "annotations": []}
{"role": "student", "content": "minus F", "session_id": 16143, "sequence_id": 222, "annotations": []}
{"role": "student", "content": "and then", "session_id": 16143, "sequence_id": 223, "annotations": []}
{"role": "student", "content": "X", "session_id": 16143, "sequence_id": 224, "annotations": []}
{"role": "student", "content": "minus G", "session_id": 16143, "sequence_id": 225, "annotations": []}
{"role": "student", "content": "Perfect. Done.", "session_id": 16143, "sequence_id": 226, "annotations": []}
{"role": "student", "content": "like this", "session_id": 16143, "sequence_id": 227, "annotations": []}
{"role": "volunteer", "content": "OK.", "session_id": 16143, "sequence_id": 228, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 16143, "sequence_id": 229, "annotations": []}
{"role": "student", "content": "So how would I do it? Like,", "session_id": 16143, "sequence_id": 230, "annotations": []}
{"role": "student", "content": "would I", "session_id": 16143, "sequence_id": 231, "annotations": []}
{"role": "volunteer", "content": "Um", "session_id": 16143, "sequence_id": 232, "annotations": []}
{"role": "student", "content": "start", "session_id": 16143, "sequence_id": 233, "annotations": []}
{"role": "volunteer", "content": "I'm not sure what, what is", "session_id": 16143, "sequence_id": 234, "annotations": []}
{"role": "volunteer", "content": "so what is a teacher", "session_id": 16143, "sequence_id": 235, "annotations": []}
{"role": "volunteer", "content": "what is this giant F mean", "session_id": 16143, "sequence_id": 236, "annotations": []}
{"role": "volunteer", "content": "That's a different function", "session_id": 16143, "sequence_id": 237, "annotations": []}
{"role": "student", "content": "oh", "session_id": 16143, "sequence_id": 238, "annotations": []}
{"role": "volunteer", "content": "Is that included too", "session_id": 16143, "sequence_id": 239, "annotations": []}
{"role": "student", "content": "No, oh my, I think I add, oops.", "session_id": 16143, "sequence_id": 240, "annotations": []}
{"role": "student", "content": "It's a lowercase f. I think my uh capitalize.", "session_id": 16143, "sequence_id": 241, "annotations": []}
{"role": "volunteer", "content": "Oh, OK. OK", "session_id": 16143, "sequence_id": 242, "annotations": []}
{"role": "student", "content": "Hm", "session_id": 16143, "sequence_id": 243, "annotations": []}
{"role": "volunteer", "content": "I, cause that, I thought that was a different one. Does that make sense?", "session_id": 16143, "sequence_id": 244, "annotations": []}
{"role": "volunteer", "content": "Um.", "session_id": 16143, "sequence_id": 245, "annotations": []}
{"role": "volunteer", "content": "so", "session_id": 16143, "sequence_id": 246, "annotations": []}
{"role": "volunteer", "content": "do you know how to add and subtract the", "session_id": 16143, "sequence_id": 247, "annotations": []}
{"role": "volunteer", "content": "different variables", "session_id": 16143, "sequence_id": 248, "annotations": []}
{"role": "volunteer", "content": "That's an important thing to understand first.", "session_id": 16143, "sequence_id": 249, "annotations": []}
{"role": "volunteer", "content": "So let's say we have, let's see.", "session_id": 16143, "sequence_id": 250, "annotations": []}
{"role": "student", "content": "I, I'll, I'll see.", "session_id": 16143, "sequence_id": 251, "annotations": []}
{"role": "volunteer", "content": "Mhm.", "session_id": 16143, "sequence_id": 252, "annotations": []}
{"role": "volunteer", "content": "Let's say we have", "session_id": 16143, "sequence_id": 253, "annotations": []}
{"role": "volunteer", "content": "uh, where's my pen.", "session_id": 16143, "sequence_id": 254, "annotations": []}
{"role": "volunteer", "content": "X", "session_id": 16143, "sequence_id": 255, "annotations": []}
{"role": "volunteer", "content": "uh, squared.", "session_id": 16143, "sequence_id": 256, "annotations": []}
{"role": "volunteer", "content": "plus", "session_id": 16143, "sequence_id": 257, "annotations": []}
{"role": "volunteer", "content": "let's see", "session_id": 16143, "sequence_id": 258, "annotations": []}
{"role": "volunteer", "content": "X cubed", "session_id": 16143, "sequence_id": 259, "annotations": []}
{"role": "volunteer", "content": "5 XQ plus 3XQ.", "session_id": 16143, "sequence_id": 260, "annotations": []}
{"role": "student", "content": "That'll be 8SQ.", "session_id": 16143, "sequence_id": 261, "annotations": []}
{"role": "volunteer", "content": "Mhm.", "session_id": 16143, "sequence_id": 262, "annotations": []}
{"role": "volunteer", "content": "Perfect.", "session_id": 16143, "sequence_id": 263, "annotations": []}
{"role": "volunteer", "content": "How about", "session_id": 16143, "sequence_id": 264, "annotations": []}
{"role": "volunteer", "content": "4 X.", "session_id": 16143, "sequence_id": 265, "annotations": []}
{"role": "student", "content": "Mhm", "session_id": 16143, "sequence_id": 266, "annotations": []}
{"role": "volunteer", "content": "+ 4 x 2.", "session_id": 16143, "sequence_id": 267, "annotations": []}
{"role": "student", "content": "probably 8 x 2.", "session_id": 16143, "sequence_id": 268, "annotations": []}
{"role": "volunteer", "content": "Yeah.", "session_id": 16143, "sequence_id": 269, "annotations": []}
{"role": "student", "content": "because the bear was listening", "session_id": 16143, "sequence_id": 270, "annotations": []}
{"role": "volunteer", "content": "So the idea is", "session_id": 16143, "sequence_id": 271, "annotations": []}
{"role": "volunteer", "content": "if the exponent is the same.", "session_id": 16143, "sequence_id": 272, "annotations": []}
{"role": "volunteer", "content": "you can just add the coefficient. So,", "session_id": 16143, "sequence_id": 273, "annotations": []}
{"role": "student", "content": "What if he chooses me", "session_id": 16143, "sequence_id": 274, "annotations": []}
{"role": "volunteer", "content": "or add or subtract", "session_id": 16143, "sequence_id": 275, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 16143, "sequence_id": 276, "annotations": []}
{"role": "student", "content": "What if it's different", "session_id": 16143, "sequence_id": 277, "annotations": []}
{"role": "volunteer", "content": "So", "session_id": 16143, "sequence_id": 278, "annotations": []}
{"role": "volunteer", "content": "let's say we have 5", "session_id": 16143, "sequence_id": 279, "annotations": []}
{"role": "volunteer", "content": "X cubed", "session_id": 16143, "sequence_id": 280, "annotations": []}
{"role": "volunteer", "content": "plus 4 x 2.", "session_id": 16143, "sequence_id": 281, "annotations": []}
{"role": "volunteer", "content": "What would that be", "session_id": 16143, "sequence_id": 282, "annotations": []}
{"role": "student", "content": "Mm", "session_id": 16143, "sequence_id": 283, "annotations": []}
{"role": "volunteer", "content": "Or what's your best guess?", "session_id": 16143, "sequence_id": 284, "annotations": []}
{"role": "student", "content": "A um", "session_id": 16143, "sequence_id": 285, "annotations": []}
{"role": "student", "content": "um, to be honest, I'll put 8 XQ 1 A X", "session_id": 16143, "sequence_id": 286, "annotations": []}
{"role": "student", "content": "squared together", "session_id": 16143, "sequence_id": 287, "annotations": []}
{"role": "student", "content": "variables", "session_id": 16143, "sequence_id": 288, "annotations": []}
{"role": "volunteer", "content": "So, the, the thing is it only works when they're the same", "session_id": 16143, "sequence_id": 289, "annotations": []}
{"role": "volunteer", "content": "It's like", "session_id": 16143, "sequence_id": 290, "annotations": []}
{"role": "student", "content": "Uh", "session_id": 16143, "sequence_id": 291, "annotations": []}
{"role": "volunteer", "content": "see", "session_id": 16143, "sequence_id": 292, "annotations": []}
{"role": "student", "content": "so that means do I add the verbals? That means 3 + 2.", "session_id": 16143, "sequence_id": 293, "annotations": []}
{"role": "student", "content": "5.", "session_id": 16143, "sequence_id": 294, "annotations": []}
{"role": "volunteer", "content": "uh no", "session_id": 16143, "sequence_id": 295, "annotations": []}
{"role": "volunteer", "content": "So", "session_id": 16143, "sequence_id": 296, "annotations": []}
{"role": "volunteer", "content": "it would be different", "session_id": 16143, "sequence_id": 297, "annotations": []}
{"role": "volunteer", "content": "So we're just talking about addition and subtraction. It's just, it's totally different if we're talking about multiplication or division.", "session_id": 16143, "sequence_id": 298, "annotations": []}
{"role": "volunteer", "content": "But that's a different thing entirely. In that case,", "session_id": 16143, "sequence_id": 299, "annotations": []}
{"role": "volunteer", "content": "you kind of group, group it together.", "session_id": 16143, "sequence_id": 300, "annotations": []}
{"role": "volunteer", "content": "and then you could add", "session_id": 16143, "sequence_id": 301, "annotations": []}
{"role": "volunteer", "content": "But", "session_id": 16143, "sequence_id": 302, "annotations": []}
{"role": "volunteer", "content": "when we're, we're, we're, we're talking about now.", "session_id": 16143, "sequence_id": 303, "annotations": []}
{"role": "volunteer", "content": "which is just adding and subtracting", "session_id": 16143, "sequence_id": 304, "annotations": []}
{"role": "volunteer", "content": "You're just trying to find the similar exponents.", "session_id": 16143, "sequence_id": 305, "annotations": []}
{"role": "volunteer", "content": "And if they're not the same, so I said this one was", "session_id": 16143, "sequence_id": 306, "annotations": []}
{"role": "volunteer", "content": "uh addition", "session_id": 16143, "sequence_id": 307, "annotations": []}
{"role": "volunteer", "content": "You can't really simplify it any further.", "session_id": 16143, "sequence_id": 308, "annotations": []}
{"role": "volunteer", "content": "Um", "session_id": 16143, "sequence_id": 309, "annotations": []}
{"role": "student", "content": "So that'll be", "session_id": 16143, "sequence_id": 310, "annotations": []}
{"role": "volunteer", "content": "So", "session_id": 16143, "sequence_id": 311, "annotations": []}
{"role": "volunteer", "content": "this is kind of a trick question. It would be 5 X cube", "session_id": 16143, "sequence_id": 312, "annotations": []}
{"role": "volunteer", "content": "plus 4 x 2.", "session_id": 16143, "sequence_id": 313, "annotations": []}
{"role": "volunteer", "content": "Now if I had, for example,", "session_id": 16143, "sequence_id": 314, "annotations": []}
{"role": "volunteer", "content": "5 X cube", "session_id": 16143, "sequence_id": 315, "annotations": []}
{"role": "volunteer", "content": "+ 4 x 2.", "session_id": 16143, "sequence_id": 316, "annotations": []}
{"role": "volunteer", "content": "plus 4 x 2.", "session_id": 16143, "sequence_id": 317, "annotations": []}
{"role": "student", "content": "oh.", "session_id": 16143, "sequence_id": 318, "annotations": []}
{"role": "student", "content": "easy, and I'll be", "session_id": 16143, "sequence_id": 319, "annotations": []}
{"role": "student", "content": "uh", "session_id": 16143, "sequence_id": 320, "annotations": []}
{"role": "student", "content": "5", "session_id": 16143, "sequence_id": 321, "annotations": []}
{"role": "student", "content": "X", "session_id": 16143, "sequence_id": 322, "annotations": []}
{"role": "student", "content": "cube", "session_id": 16143, "sequence_id": 323, "annotations": []}
{"role": "student", "content": "plus", "session_id": 16143, "sequence_id": 324, "annotations": []}
{"role": "student", "content": "8", "session_id": 16143, "sequence_id": 325, "annotations": []}
{"role": "student", "content": "X squared", "session_id": 16143, "sequence_id": 326, "annotations": []}
{"role": "volunteer", "content": "Yeah, exactly", "session_id": 16143, "sequence_id": 327, "annotations": []}
{"role": "volunteer", "content": "So make", "session_id": 16143, "sequence_id": 328, "annotations": []}
{"role": "student", "content": "Oh, so it's different variables, I can't add them, so cause it's", "session_id": 16143, "sequence_id": 329, "annotations": []}
{"role": "volunteer", "content": "yeah, you, you would just have to leave it alone. So you can't really", "session_id": 16143, "sequence_id": 330, "annotations": []}
{"role": "volunteer", "content": "uh simplify that", "session_id": 16143, "sequence_id": 331, "annotations": []}
{"role": "student", "content": "the same goes as subtraction.", "session_id": 16143, "sequence_id": 332, "annotations": []}
{"role": "volunteer", "content": "Yeah, so let's say uh", "session_id": 16143, "sequence_id": 333, "annotations": []}
{"role": "volunteer", "content": "let's see, 5 XQ", "session_id": 16143, "sequence_id": 334, "annotations": []}
{"role": "volunteer", "content": "minus 4 x 2.", "session_id": 16143, "sequence_id": 335, "annotations": []}
{"role": "volunteer", "content": "uh what would that be?", "session_id": 16143, "sequence_id": 336, "annotations": []}
{"role": "student", "content": "Uh, same things, uh, 5 X cube minus 4 X squared.", "session_id": 16143, "sequence_id": 337, "annotations": []}
{"role": "volunteer", "content": "Mhm", "session_id": 16143, "sequence_id": 338, "annotations": []}
{"role": "volunteer", "content": "It's good. So", "session_id": 16143, "sequence_id": 339, "annotations": []}
{"role": "volunteer", "content": "you can only really do the operation.", "session_id": 16143, "sequence_id": 340, "annotations": []}
{"role": "volunteer", "content": "when they're the same", "session_id": 16143, "sequence_id": 341, "annotations": []}
{"role": "student", "content": "Mm", "session_id": 16143, "sequence_id": 342, "annotations": []}
{"role": "volunteer", "content": "We have 5 X cubed.", "session_id": 16143, "sequence_id": 343, "annotations": []}
{"role": "volunteer", "content": "minus 3 X cubed.", "session_id": 16143, "sequence_id": 344, "annotations": []}
{"role": "volunteer", "content": "what would that be", "session_id": 16143, "sequence_id": 345, "annotations": []}
{"role": "student", "content": "5 X", "session_id": 16143, "sequence_id": 346, "annotations": []}
{"role": "student", "content": "oh wait is it Q", "session_id": 16143, "sequence_id": 347, "annotations": []}
{"role": "volunteer", "content": "Yeah, that's it", "session_id": 16143, "sequence_id": 348, "annotations": []}
{"role": "student", "content": "Uh, that'll be 2 X cube.", "session_id": 16143, "sequence_id": 349, "annotations": []}
{"role": "volunteer", "content": "Mhm.", "session_id": 16143, "sequence_id": 350, "annotations": []}
{"role": "student", "content": "that it", "session_id": 16143, "sequence_id": 351, "annotations": []}
{"role": "volunteer", "content": "Good job", "session_id": 16143, "sequence_id": 352, "annotations": []}
{"role": "student", "content": "Yeah, I got the contact", "session_id": 16143, "sequence_id": 353, "annotations": []}
{"role": "volunteer", "content": "Yeah. So that, that's it, that's, that's the important part to remember.", "session_id": 16143, "sequence_id": 354, "annotations": []}
{"role": "volunteer", "content": "We're looking at", "session_id": 16143, "sequence_id": 355, "annotations": []}
{"role": "volunteer", "content": "the similar exponents or the same exponents.", "session_id": 16143, "sequence_id": 356, "annotations": []}
{"role": "volunteer", "content": "and then we're grouping them together, kind of like", "session_id": 16143, "sequence_id": 357, "annotations": []}
{"role": "volunteer", "content": "if this helps you", "session_id": 16143, "sequence_id": 358, "annotations": []}
{"role": "volunteer", "content": "like you put it in front. So this is the X cubed.", "session_id": 16143, "sequence_id": 359, "annotations": []}
{"role": "volunteer", "content": "5 minus 3.", "session_id": 16143, "sequence_id": 360, "annotations": []}
{"role": "volunteer", "content": "and then that would be 2 XQ.", "session_id": 16143, "sequence_id": 361, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 16143, "sequence_id": 362, "annotations": []}
{"role": "volunteer", "content": "So this 15.", "session_id": 16143, "sequence_id": 363, "annotations": []}
{"role": "volunteer", "content": "plus", "session_id": 16143, "sequence_id": 364, "annotations": []}
{"role": "volunteer", "content": "the", "session_id": 16143, "sequence_id": 365, "annotations": []}
{"role": "volunteer", "content": "4 + 4.", "session_id": 16143, "sequence_id": 366, "annotations": []}
{"role": "volunteer", "content": "X to the power of 1/2. And then that's how you got the 8. So", "session_id": 16143, "sequence_id": 367, "annotations": []}
{"role": "volunteer", "content": "it might help for this problem.", "session_id": 16143, "sequence_id": 368, "annotations": []}
{"role": "volunteer", "content": "to kind of write it together or see.", "session_id": 16143, "sequence_id": 369, "annotations": []}
{"role": "volunteer", "content": "Group it together and then see", "session_id": 16143, "sequence_id": 370, "annotations": []}
{"role": "volunteer", "content": "like kind of like uh", "session_id": 16143, "sequence_id": 371, "annotations": []}
{"role": "volunteer", "content": "you put F of X here.", "session_id": 16143, "sequence_id": 372, "annotations": []}
{"role": "volunteer", "content": "This might help you", "session_id": 16143, "sequence_id": 373, "annotations": []}
{"role": "volunteer", "content": "And then you put GFX there.", "session_id": 16143, "sequence_id": 374, "annotations": []}
{"role": "volunteer", "content": "and then you see if you can line up the the numbers.", "session_id": 16143, "sequence_id": 375, "annotations": []}
{"role": "volunteer", "content": "with the right coefficients.", "session_id": 16143, "sequence_id": 376, "annotations": []}
{"role": "student", "content": "Oh, well, oh yeah, I get you. So I'll be negative.", "session_id": 16143, "sequence_id": 377, "annotations": []}
{"role": "student", "content": "3 X", "session_id": 16143, "sequence_id": 378, "annotations": []}
{"role": "student", "content": "1", "session_id": 16143, "sequence_id": 379, "annotations": []}
{"role": "student", "content": "3", "session_id": 16143, "sequence_id": 380, "annotations": []}
{"role": "volunteer", "content": "Mhm.", "session_id": 16143, "sequence_id": 381, "annotations": []}
{"role": "student", "content": "plus", "session_id": 16143, "sequence_id": 382, "annotations": []}
{"role": "student", "content": "4", "session_id": 16143, "sequence_id": 383, "annotations": []}
{"role": "student", "content": "and", "session_id": 16143, "sequence_id": 384, "annotations": []}
{"role": "student", "content": "1/2", "session_id": 16143, "sequence_id": 385, "annotations": []}
{"role": "volunteer", "content": "Yes", "session_id": 16143, "sequence_id": 386, "annotations": []}
{"role": "volunteer", "content": "Yes.", "session_id": 16143, "sequence_id": 387, "annotations": []}
{"role": "student", "content": "We'll make this big plus.", "session_id": 16143, "sequence_id": 388, "annotations": []}
{"role": "student", "content": "and then on the bottom, we change the color.", "session_id": 16143, "sequence_id": 389, "annotations": []}
{"role": "student", "content": "little dark", "session_id": 16143, "sequence_id": 390, "annotations": []}
{"role": "student", "content": "because he.", "session_id": 16143, "sequence_id": 391, "annotations": []}
{"role": "student", "content": "OK, which is 5.", "session_id": 16143, "sequence_id": 392, "annotations": []}
{"role": "student", "content": "X", "session_id": 16143, "sequence_id": 393, "annotations": []}
{"role": "student", "content": "1", "session_id": 16143, "sequence_id": 394, "annotations": []}
{"role": "student", "content": "have", "session_id": 16143, "sequence_id": 395, "annotations": []}
{"role": "student", "content": "plus", "session_id": 16143, "sequence_id": 396, "annotations": []}
{"role": "student", "content": "4 X.", "session_id": 16143, "sequence_id": 397, "annotations": []}
{"role": "volunteer", "content": "Mhm", "session_id": 16143, "sequence_id": 398, "annotations": []}
{"role": "student", "content": "So 4 x + 4, so that'll be", "session_id": 16143, "sequence_id": 399, "annotations": []}
{"role": "student", "content": "do what? OK, 4.", "session_id": 16143, "sequence_id": 400, "annotations": []}
{"role": "student", "content": "I, mm oh I add them, right? 4x5 plus 4 XF.", "session_id": 16143, "sequence_id": 401, "annotations": []}
{"role": "volunteer", "content": "Mhm", "session_id": 16143, "sequence_id": 402, "annotations": []}
{"role": "volunteer", "content": "What it would be", "session_id": 16143, "sequence_id": 403, "annotations": []}
{"role": "student", "content": "So that'll be 8 XF.", "session_id": 16143, "sequence_id": 404, "annotations": []}
{"role": "volunteer", "content": "Yeah.", "session_id": 16143, "sequence_id": 405, "annotations": []}
{"role": "volunteer", "content": "It's like", "session_id": 16143, "sequence_id": 406, "annotations": []}
{"role": "volunteer", "content": "you're just taking the X/2.", "session_id": 16143, "sequence_id": 407, "annotations": []}
{"role": "volunteer", "content": "You'd take it outside. So 4.", "session_id": 16143, "sequence_id": 408, "annotations": []}
{"role": "volunteer", "content": "+ 4. If that helps you.", "session_id": 16143, "sequence_id": 409, "annotations": []}
{"role": "volunteer", "content": "All you're doing is really just uh", "session_id": 16143, "sequence_id": 410, "annotations": []}
{"role": "volunteer", "content": "using the coefficient.", "session_id": 16143, "sequence_id": 411, "annotations": []}
{"role": "student", "content": "Mm", "session_id": 16143, "sequence_id": 412, "annotations": []}
{"role": "student", "content": "So -3", "session_id": 16143, "sequence_id": 413, "annotations": []}
{"role": "student", "content": "um plus 5, that'll be um that'll be 2.", "session_id": 16143, "sequence_id": 414, "annotations": []}
{"role": "student", "content": "So", "session_id": 16143, "sequence_id": 415, "annotations": []}
{"role": "volunteer", "content": "Yeah.", "session_id": 16143, "sequence_id": 416, "annotations": []}
{"role": "student", "content": "2", "session_id": 16143, "sequence_id": 417, "annotations": []}
{"role": "student", "content": "X", "session_id": 16143, "sequence_id": 418, "annotations": []}
{"role": "student", "content": "3", "session_id": 16143, "sequence_id": 419, "annotations": []}
{"role": "volunteer", "content": "Mhm.", "session_id": 16143, "sequence_id": 420, "annotations": []}
{"role": "volunteer", "content": "Yes", "session_id": 16143, "sequence_id": 421, "annotations": []}
{"role": "student", "content": "plus, which is where he leads to our plus, well, this is the answer.", "session_id": 16143, "sequence_id": 422, "annotations": []}
{"role": "volunteer", "content": "Yup", "session_id": 16143, "sequence_id": 423, "annotations": []}
{"role": "student", "content": "and", "session_id": 16143, "sequence_id": 424, "annotations": []}
{"role": "volunteer", "content": "So now it's very similar with uh these two, but instead of adding them,", "session_id": 16143, "sequence_id": 425, "annotations": []}
{"role": "volunteer", "content": "let's see.", "session_id": 16143, "sequence_id": 426, "annotations": []}
{"role": "volunteer", "content": "you would be subtracting them, so you could do another one.", "session_id": 16143, "sequence_id": 427, "annotations": []}
{"role": "volunteer", "content": "um we try to erase this.", "session_id": 16143, "sequence_id": 428, "annotations": []}
{"role": "student", "content": "I can raise it for you quickly", "session_id": 16143, "sequence_id": 429, "annotations": []}
{"role": "volunteer", "content": "OK. Thank you", "session_id": 16143, "sequence_id": 430, "annotations": []}
{"role": "student", "content": "You're welcome", "session_id": 16143, "sequence_id": 431, "annotations": []}
{"role": "student", "content": "Here we go.", "session_id": 16143, "sequence_id": 432, "annotations": []}
{"role": "volunteer", "content": "All right. The next one, G of X minus F of X.", "session_id": 16143, "sequence_id": 433, "annotations": []}
{"role": "volunteer", "content": "It a similar idea", "session_id": 16143, "sequence_id": 434, "annotations": []}
{"role": "volunteer", "content": "Yeah.", "session_id": 16143, "sequence_id": 435, "annotations": []}
{"role": "volunteer", "content": "except", "session_id": 16143, "sequence_id": 436, "annotations": []}
{"role": "student", "content": "It's nicked", "session_id": 16143, "sequence_id": 437, "annotations": []}
{"role": "volunteer", "content": "you put GovX at the top.", "session_id": 16143, "sequence_id": 438, "annotations": []}
{"role": "volunteer", "content": "and then Liam at the bottom.", "session_id": 16143, "sequence_id": 439, "annotations": [{"pii_type": "PERSON", "surrogate": "Liam", "start": 9, "end": 13}]}
{"role": "volunteer", "content": "And you're not adding them", "session_id": 16143, "sequence_id": 440, "annotations": []}
{"role": "volunteer", "content": "you're subtracting them", "session_id": 16143, "sequence_id": 441, "annotations": []}
{"role": "student", "content": "Mm", "session_id": 16143, "sequence_id": 442, "annotations": []}
{"role": "student", "content": "So", "session_id": 16143, "sequence_id": 443, "annotations": []}
{"role": "student", "content": "5 eggs.", "session_id": 16143, "sequence_id": 444, "annotations": []}
{"role": "student", "content": "1/3", "session_id": 16143, "sequence_id": 445, "annotations": []}
{"role": "student", "content": "plus", "session_id": 16143, "sequence_id": 446, "annotations": []}
{"role": "student", "content": "4", "session_id": 16143, "sequence_id": 447, "annotations": []}
{"role": "student", "content": "OK, now we do big minus.", "session_id": 16143, "sequence_id": 448, "annotations": []}
{"role": "student", "content": "and then FS", "session_id": 16143, "sequence_id": 449, "annotations": []}
{"role": "student", "content": "negative", "session_id": 16143, "sequence_id": 450, "annotations": []}
{"role": "student", "content": "3 X", "session_id": 16143, "sequence_id": 451, "annotations": []}
{"role": "student", "content": "uh", "session_id": 16143, "sequence_id": 452, "annotations": []}
{"role": "volunteer", "content": "Mhm.", "session_id": 16143, "sequence_id": 453, "annotations": []}
{"role": "student", "content": "so positive for minus 4, so that costs out like that's it.", "session_id": 16143, "sequence_id": 454, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 16143, "sequence_id": 455, "annotations": []}
{"role": "student", "content": "Um", "session_id": 16143, "sequence_id": 456, "annotations": []}
{"role": "student", "content": "5", "session_id": 16143, "sequence_id": 457, "annotations": []}
{"role": "student", "content": "5 X", "session_id": 16143, "sequence_id": 458, "annotations": []}
{"role": "student", "content": "minus 3. Wait.", "session_id": 16143, "sequence_id": 459, "annotations": []}
{"role": "volunteer", "content": "Mhm.", "session_id": 16143, "sequence_id": 460, "annotations": []}
{"role": "student", "content": "How could we wait 5 minus -3, that'll be 8.", "session_id": 16143, "sequence_id": 461, "annotations": []}
{"role": "student", "content": "8.", "session_id": 16143, "sequence_id": 462, "annotations": []}
{"role": "volunteer", "content": "Yeah, exactly", "session_id": 16143, "sequence_id": 463, "annotations": []}
{"role": "student", "content": "P X", "session_id": 16143, "sequence_id": 464, "annotations": []}
{"role": "volunteer", "content": "Mhm", "session_id": 16143, "sequence_id": 465, "annotations": []}
{"role": "volunteer", "content": "Yes", "session_id": 16143, "sequence_id": 466, "annotations": []}
{"role": "student", "content": "No, that's all that's the answer.", "session_id": 16143, "sequence_id": 467, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 16143, "sequence_id": 468, "annotations": []}
{"role": "student", "content": "Mhm", "session_id": 16143, "sequence_id": 469, "annotations": []}
{"role": "student", "content": "It's uh same goes the other one, but", "session_id": 16143, "sequence_id": 470, "annotations": []}
{"role": "volunteer", "content": "Mhm", "session_id": 16143, "sequence_id": 471, "annotations": []}
{"role": "student", "content": "it's a", "session_id": 16143, "sequence_id": 472, "annotations": []}
{"role": "student", "content": "FN X and then subtraction.", "session_id": 16143, "sequence_id": 473, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 16143, "sequence_id": 474, "annotations": []}
{"role": "student", "content": "Oh, that's pretty simple", "session_id": 16143, "sequence_id": 475, "annotations": []}
{"role": "volunteer", "content": "So it's, yeah. It's uh, for the first one, it doesn't matter which one is on top or bottom.", "session_id": 16143, "sequence_id": 476, "annotations": []}
{"role": "volunteer", "content": "cause you're just adding them", "session_id": 16143, "sequence_id": 477, "annotations": []}
{"role": "student", "content": "Mhm", "session_id": 16143, "sequence_id": 478, "annotations": []}
{"role": "volunteer", "content": "But when you're subtracting, these are two different. If you do this one, you'll get a different answer.", "session_id": 16143, "sequence_id": 479, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 16143, "sequence_id": 480, "annotations": []}
{"role": "volunteer", "content": "It's not a", "session_id": 16143, "sequence_id": 481, "annotations": []}
{"role": "volunteer", "content": "what's the word, communicative.", "session_id": 16143, "sequence_id": 482, "annotations": []}
{"role": "student", "content": "Oh", "session_id": 16143, "sequence_id": 483, "annotations": []}
{"role": "student", "content": "oh", "session_id": 16143, "sequence_id": 484, "annotations": []}
{"role": "student", "content": "I got it", "session_id": 16143, "sequence_id": 485, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 16143, "sequence_id": 486, "annotations": []}
{"role": "volunteer", "content": "That that's probably more information. You don't need to know.", "session_id": 16143, "sequence_id": 487, "annotations": []}
{"role": "volunteer", "content": "All right.", "session_id": 16143, "sequence_id": 488, "annotations": []}
{"role": "student", "content": "OK", "session_id": 16143, "sequence_id": 489, "annotations": []}
{"role": "student", "content": "so I'll do", "session_id": 16143, "sequence_id": 490, "annotations": []}
{"role": "student", "content": "negative", "session_id": 16143, "sequence_id": 491, "annotations": []}
{"role": "student", "content": "3X", "session_id": 16143, "sequence_id": 492, "annotations": []}
{"role": "student", "content": "The see here.", "session_id": 16143, "sequence_id": 493, "annotations": []}
{"role": "student", "content": "Well, for Liam.", "session_id": 16143, "sequence_id": 494, "annotations": [{"pii_type": "PERSON", "surrogate": "Liam", "start": 10, "end": 14}]}
{"role": "student", "content": "OK", "session_id": 16143, "sequence_id": 495, "annotations": []}
{"role": "student", "content": "4.", "session_id": 16143, "sequence_id": 496, "annotations": []}
{"role": "student", "content": "So, so that'll be boom sub -3 minus", "session_id": 16143, "sequence_id": 497, "annotations": []}
{"role": "student", "content": "3W9 negative, and then that'll be 8 X.", "session_id": 16143, "sequence_id": 498, "annotations": []}
{"role": "student", "content": "1/3", "session_id": 16143, "sequence_id": 499, "annotations": []}
{"role": "volunteer", "content": "Mhm", "session_id": 16143, "sequence_id": 500, "annotations": []}
{"role": "student", "content": "That's", "session_id": 16143, "sequence_id": 501, "annotations": []}
{"role": "volunteer", "content": "Yup.", "session_id": 16143, "sequence_id": 502, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 16143, "sequence_id": 503, "annotations": []}
{"role": "student", "content": "So I think I uh I think I've got the concept of it.", "session_id": 16143, "sequence_id": 504, "annotations": []}
{"role": "volunteer", "content": "Yeah. So it's just, this is for addition and subtraction. These are different rules.", "session_id": 16143, "sequence_id": 505, "annotations": []}
{"role": "volunteer", "content": "when you start talking about", "session_id": 16143, "sequence_id": 506, "annotations": []}
{"role": "volunteer", "content": "multiplication or division, but", "session_id": 16143, "sequence_id": 507, "annotations": []}
{"role": "volunteer", "content": "that's not on the your assignment, so", "session_id": 16143, "sequence_id": 508, "annotations": []}
{"role": "volunteer", "content": "you'll learn about that later", "session_id": 16143, "sequence_id": 509, "annotations": []}
{"role": "student", "content": "Mhm", "session_id": 16143, "sequence_id": 510, "annotations": []}
{"role": "student", "content": "And what if it's like this, Liam", "session_id": 16143, "sequence_id": 511, "annotations": [{"pii_type": "PERSON", "surrogate": "Liam", "start": 28, "end": 32}]}
{"role": "volunteer", "content": "Mhm.", "session_id": 16143, "sequence_id": 512, "annotations": []}
{"role": "student", "content": "Let me delete this all.", "session_id": 16143, "sequence_id": 513, "annotations": []}
{"role": "student", "content": "um", "session_id": 16143, "sequence_id": 514, "annotations": []}
{"role": "student", "content": "it's goes like FG", "session_id": 16143, "sequence_id": 515, "annotations": []}
{"role": "student", "content": "boom, she", "session_id": 16143, "sequence_id": 516, "annotations": []}
{"role": "student", "content": "Well if it's like this", "session_id": 16143, "sequence_id": 517, "annotations": []}
{"role": "student", "content": "So how do I plug it in?", "session_id": 16143, "sequence_id": 518, "annotations": []}
{"role": "volunteer", "content": "OK, so", "session_id": 16143, "sequence_id": 519, "annotations": []}
{"role": "volunteer", "content": "this is kind of like what we did.", "session_id": 16143, "sequence_id": 520, "annotations": []}
{"role": "volunteer", "content": "the previous problem", "session_id": 16143, "sequence_id": 521, "annotations": []}
{"role": "volunteer", "content": "but it's a little more involved. So it's the same idea. It's not a number", "session_id": 16143, "sequence_id": 522, "annotations": []}
{"role": "volunteer", "content": "we're not evaluating it. So if, if they ask you to fill out a table", "session_id": 16143, "sequence_id": 523, "annotations": []}
{"role": "volunteer", "content": "that's how you would do it. You would do GFX first, and then", "session_id": 16143, "sequence_id": 524, "annotations": []}
{"role": "volunteer", "content": "do F of", "session_id": 16143, "sequence_id": 525, "annotations": []}
{"role": "volunteer", "content": "GFX, right?", "session_id": 16143, "sequence_id": 526, "annotations": []}
{"role": "volunteer", "content": "So this is", "session_id": 16143, "sequence_id": 527, "annotations": []}
{"role": "volunteer", "content": "F", "session_id": 16143, "sequence_id": 528, "annotations": []}
{"role": "volunteer", "content": "composite of G.", "session_id": 16143, "sequence_id": 529, "annotations": []}
{"role": "volunteer", "content": "All right? So", "session_id": 16143, "sequence_id": 530, "annotations": []}
{"role": "volunteer", "content": "when we're asked", "session_id": 16143, "sequence_id": 531, "annotations": []}
{"role": "volunteer", "content": "to find the actual function,", "session_id": 16143, "sequence_id": 532, "annotations": []}
{"role": "volunteer", "content": "it's not too complicated. It's the same as just, oh.", "session_id": 16143, "sequence_id": 533, "annotations": []}
{"role": "volunteer", "content": "change", "session_id": 16143, "sequence_id": 534, "annotations": []}
{"role": "volunteer", "content": "OK.", "session_id": 16143, "sequence_id": 535, "annotations": []}
{"role": "student", "content": "Mhm", "session_id": 16143, "sequence_id": 536, "annotations": []}
{"role": "volunteer", "content": "see", "session_id": 16143, "sequence_id": 537, "annotations": []}
{"role": "volunteer", "content": "Just erase this", "session_id": 16143, "sequence_id": 538, "annotations": []}
{"role": "volunteer", "content": "what I wrote", "session_id": 16143, "sequence_id": 539, "annotations": []}
{"role": "volunteer", "content": "OK, uh", "session_id": 16143, "sequence_id": 540, "annotations": []}
{"role": "volunteer", "content": "so", "session_id": 16143, "sequence_id": 541, "annotations": []}
{"role": "volunteer", "content": "if it helps you", "session_id": 16143, "sequence_id": 542, "annotations": []}
{"role": "volunteer", "content": "what is F of", "session_id": 16143, "sequence_id": 543, "annotations": []}
{"role": "volunteer", "content": "Y", "session_id": 16143, "sequence_id": 544, "annotations": []}
{"role": "volunteer", "content": "But you evaluate that", "session_id": 16143, "sequence_id": 545, "annotations": []}
{"role": "student", "content": "There's no why. So how do I know the way?", "session_id": 16143, "sequence_id": 546, "annotations": []}
{"role": "volunteer", "content": "So let's just say why is the just the variable Y. There's no uh", "session_id": 16143, "sequence_id": 547, "annotations": []}
{"role": "volunteer", "content": "I could have, I could say that, but let's just say why is", "session_id": 16143, "sequence_id": 548, "annotations": []}
{"role": "volunteer", "content": "just why", "session_id": 16143, "sequence_id": 549, "annotations": []}
{"role": "student", "content": "Well then it's, it's Y. F is Y.", "session_id": 16143, "sequence_id": 550, "annotations": []}
{"role": "volunteer", "content": "So this would be", "session_id": 16143, "sequence_id": 551, "annotations": []}
{"role": "student", "content": "Because Y is not", "session_id": 16143, "sequence_id": 552, "annotations": []}
{"role": "volunteer", "content": "so this would be 2, right? Essentially, where you find the X.", "session_id": 16143, "sequence_id": 553, "annotations": []}
{"role": "volunteer", "content": "you do 2 Y squared.", "session_id": 16143, "sequence_id": 554, "annotations": []}
{"role": "volunteer", "content": "minus 3Y.", "session_id": 16143, "sequence_id": 555, "annotations": []}
{"role": "volunteer", "content": "OK.", "session_id": 16143, "sequence_id": 556, "annotations": []}
{"role": "volunteer", "content": "If it helps you, let's say Y is 3 X + 2.", "session_id": 16143, "sequence_id": 557, "annotations": []}
{"role": "volunteer", "content": "So when we say F of G of X", "session_id": 16143, "sequence_id": 558, "annotations": []}
{"role": "volunteer", "content": "Well, we said", "session_id": 16143, "sequence_id": 559, "annotations": []}
{"role": "volunteer", "content": "we uh", "session_id": 16143, "sequence_id": 560, "annotations": []}
{"role": "volunteer", "content": "we say Y is equal to G of X, which is 3 x + 2.", "session_id": 16143, "sequence_id": 561, "annotations": []}
{"role": "volunteer", "content": "So now essentially where that Y is.", "session_id": 16143, "sequence_id": 562, "annotations": []}
{"role": "volunteer", "content": "you would plug in", "session_id": 16143, "sequence_id": 563, "annotations": []}
{"role": "volunteer", "content": "that function. So it'd be 2.", "session_id": 16143, "sequence_id": 564, "annotations": []}
{"role": "volunteer", "content": "GFX", "session_id": 16143, "sequence_id": 565, "annotations": []}
{"role": "volunteer", "content": "2", "session_id": 16143, "sequence_id": 566, "annotations": []}
{"role": "volunteer", "content": "minus", "session_id": 16143, "sequence_id": 567, "annotations": []}
{"role": "volunteer", "content": "3GF X.", "session_id": 16143, "sequence_id": 568, "annotations": []}
{"role": "volunteer", "content": "So then usually when they ask you for this kind of question, they're gonna ask you to finish the whole thing. So,", "session_id": 16143, "sequence_id": 569, "annotations": []}
{"role": "volunteer", "content": "this is technically true", "session_id": 16143, "sequence_id": 570, "annotations": []}
{"role": "volunteer", "content": "but what they would want is something like", "session_id": 16143, "sequence_id": 571, "annotations": []}
{"role": "volunteer", "content": "you plug in", "session_id": 16143, "sequence_id": 572, "annotations": []}
{"role": "volunteer", "content": "the, the function. So 3 x + 2.", "session_id": 16143, "sequence_id": 573, "annotations": []}
{"role": "volunteer", "content": "2 times", "session_id": 16143, "sequence_id": 574, "annotations": []}
{"role": "volunteer", "content": "3 x + 2", "session_id": 16143, "sequence_id": 575, "annotations": []}
{"role": "volunteer", "content": "Oh, it's a bad 3", "session_id": 16143, "sequence_id": 576, "annotations": []}
{"role": "volunteer", "content": "supposed to be 3", "session_id": 16143, "sequence_id": 577, "annotations": []}
{"role": "volunteer", "content": "3 x + 2.", "session_id": 16143, "sequence_id": 578, "annotations": []}
{"role": "volunteer", "content": "2", "session_id": 16143, "sequence_id": 579, "annotations": []}
{"role": "volunteer", "content": "minus 3", "session_id": 16143, "sequence_id": 580, "annotations": []}
{"role": "volunteer", "content": "times", "session_id": 16143, "sequence_id": 581, "annotations": []}
{"role": "volunteer", "content": "3 x + 2.", "session_id": 16143, "sequence_id": 582, "annotations": []}
{"role": "volunteer", "content": "So this this goes deeper. You can simplify that further, but that's the general idea of how you would solve for it.", "session_id": 16143, "sequence_id": 583, "annotations": []}
{"role": "student", "content": "Mm", "session_id": 16143, "sequence_id": 584, "annotations": []}
{"role": "volunteer", "content": "So wherever you see the acts.", "session_id": 16143, "sequence_id": 585, "annotations": []}
{"role": "volunteer", "content": "right? So F of GFX, you're just gonna plug in", "session_id": 16143, "sequence_id": 586, "annotations": []}
{"role": "volunteer", "content": "GFX right there. But that, that, that whole thing would be squared.", "session_id": 16143, "sequence_id": 587, "annotations": []}
{"role": "volunteer", "content": "minus 3", "session_id": 16143, "sequence_id": 588, "annotations": []}
{"role": "volunteer", "content": "and that whole thing times.", "session_id": 16143, "sequence_id": 589, "annotations": []}
{"role": "volunteer", "content": "3 x + 2", "session_id": 16143, "sequence_id": 590, "annotations": []}
{"role": "volunteer", "content": "These are equivalent", "session_id": 16143, "sequence_id": 591, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 16143, "sequence_id": 592, "annotations": []}
{"role": "volunteer", "content": "So that, that's the, the high level", "session_id": 16143, "sequence_id": 593, "annotations": []}
{"role": "volunteer", "content": "If you have another one", "session_id": 16143, "sequence_id": 594, "annotations": []}
{"role": "volunteer", "content": "I wish there was another example, so you could practice it.", "session_id": 16143, "sequence_id": 595, "annotations": []}
{"role": "volunteer", "content": "But that's how you would approach doing that kind of problem.", "session_id": 16143, "sequence_id": 596, "annotations": []}
{"role": "student", "content": "Mm.", "session_id": 16143, "sequence_id": 597, "annotations": []}
{"role": "student", "content": "no", "session_id": 16143, "sequence_id": 598, "annotations": []}
{"role": "volunteer", "content": "It's, it's the same idea, right? So when we're talking about", "session_id": 16143, "sequence_id": 599, "annotations": []}
{"role": "volunteer", "content": "we're, we're taking the input", "session_id": 16143, "sequence_id": 600, "annotations": []}
{"role": "volunteer", "content": "the output of GFX.", "session_id": 16143, "sequence_id": 601, "annotations": []}
{"role": "volunteer", "content": "and it's gonna become the input to the next function.", "session_id": 16143, "sequence_id": 602, "annotations": []}
{"role": "volunteer", "content": "And remember that picture?", "session_id": 16143, "sequence_id": 603, "annotations": []}
{"role": "volunteer", "content": "except we're not using a number", "session_id": 16143, "sequence_id": 604, "annotations": []}
{"role": "volunteer", "content": "we're just", "session_id": 16143, "sequence_id": 605, "annotations": []}
{"role": "volunteer", "content": "solving it", "session_id": 16143, "sequence_id": 606, "annotations": []}
{"role": "volunteer", "content": "or simplifying it", "session_id": 16143, "sequence_id": 607, "annotations": []}
{"role": "volunteer", "content": "with the, the X", "session_id": 16143, "sequence_id": 608, "annotations": []}
{"role": "student", "content": "Mm", "session_id": 16143, "sequence_id": 609, "annotations": []}
{"role": "student", "content": "got it", "session_id": 16143, "sequence_id": 610, "annotations": []}
{"role": "volunteer", "content": "It might be helpful if there's another, do you have another example, and then you could try doing that one.", "session_id": 16143, "sequence_id": 611, "annotations": []}
{"role": "student", "content": "Yeah, I do, I do", "session_id": 16143, "sequence_id": 612, "annotations": []}
{"role": "student", "content": "Hm", "session_id": 16143, "sequence_id": 613, "annotations": []}
{"role": "student", "content": "So I", "session_id": 16143, "sequence_id": 614, "annotations": []}
{"role": "student", "content": "X would be X", "session_id": 16143, "sequence_id": 615, "annotations": []}
{"role": "student", "content": "2.", "session_id": 16143, "sequence_id": 616, "annotations": []}
{"role": "student", "content": "-3X", "session_id": 16143, "sequence_id": 617, "annotations": []}
{"role": "student", "content": "G X", "session_id": 16143, "sequence_id": 618, "annotations": []}
{"role": "student", "content": "will be 3 X.", "session_id": 16143, "sequence_id": 619, "annotations": []}
{"role": "volunteer", "content": "I don't know.", "session_id": 16143, "sequence_id": 620, "annotations": []}
{"role": "student", "content": "OK, so.", "session_id": 16143, "sequence_id": 621, "annotations": []}
{"role": "student", "content": "you had", "session_id": 16143, "sequence_id": 622, "annotations": []}
{"role": "student", "content": "Alright, so.", "session_id": 16143, "sequence_id": 623, "annotations": []}
{"role": "student", "content": "Liam.", "session_id": 16143, "sequence_id": 624, "annotations": [{"pii_type": "PERSON", "surrogate": "Liam", "start": 0, "end": 4}]}
{"role": "student", "content": "right so", "session_id": 16143, "sequence_id": 625, "annotations": []}
{"role": "student", "content": "we singing.", "session_id": 16143, "sequence_id": 626, "annotations": []}
{"role": "student", "content": "at", "session_id": 16143, "sequence_id": 627, "annotations": []}
{"role": "student", "content": "So I'veMX.", "session_id": 16143, "sequence_id": 628, "annotations": []}
{"role": "student", "content": "is", "session_id": 16143, "sequence_id": 629, "annotations": []}
{"role": "student", "content": "uh", "session_id": 16143, "sequence_id": 630, "annotations": []}
{"role": "student", "content": "honestly", "session_id": 16143, "sequence_id": 631, "annotations": []}
{"role": "student", "content": "Um, how do I do it", "session_id": 16143, "sequence_id": 632, "annotations": []}
{"role": "volunteer", "content": "Mhm", "session_id": 16143, "sequence_id": 633, "annotations": []}
{"role": "volunteer", "content": "So, is that the same problem", "session_id": 16143, "sequence_id": 634, "annotations": []}
{"role": "student", "content": "Oh yeah", "session_id": 16143, "sequence_id": 635, "annotations": []}
{"role": "volunteer", "content": "That one?", "session_id": 16143, "sequence_id": 636, "annotations": []}
{"role": "student", "content": "Mhm", "session_id": 16143, "sequence_id": 637, "annotations": []}
{"role": "volunteer", "content": "How would you, what would this equal to?", "session_id": 16143, "sequence_id": 638, "annotations": []}
{"role": "student", "content": "The X, so it's uh, uh, I square minus 3 X.", "session_id": 16143, "sequence_id": 639, "annotations": []}
{"role": "student", "content": "right?", "session_id": 16143, "sequence_id": 640, "annotations": []}
{"role": "volunteer", "content": "Yeah?", "session_id": 16143, "sequence_id": 641, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 16143, "sequence_id": 642, "annotations": []}
{"role": "volunteer", "content": "But this is F, so that would be F of X. But so what would F G X be?", "session_id": 16143, "sequence_id": 643, "annotations": []}
{"role": "student", "content": "Fenyx. You mean GF GF would be 33 X 1 is 2.", "session_id": 16143, "sequence_id": 644, "annotations": []}
{"role": "volunteer", "content": "Mhm", "session_id": 16143, "sequence_id": 645, "annotations": []}
{"role": "student", "content": "Mm", "session_id": 16143, "sequence_id": 646, "annotations": []}
{"role": "student", "content": "So", "session_id": 16143, "sequence_id": 647, "annotations": []}
{"role": "student", "content": "Uh, so, wait, I don't get it. I'm sorry.", "session_id": 16143, "sequence_id": 648, "annotations": []}
{"role": "volunteer", "content": "That's OK. So", "session_id": 16143, "sequence_id": 649, "annotations": []}
{"role": "student", "content": "No, I", "session_id": 16143, "sequence_id": 650, "annotations": []}
{"role": "volunteer", "content": "you", "session_id": 16143, "sequence_id": 651, "annotations": []}
{"role": "student", "content": "no, I would be uh X squared minus 3X. How come it's 3 X? That's why I'm not trying to understand.", "session_id": 16143, "sequence_id": 652, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 16143, "sequence_id": 653, "annotations": []}
{"role": "volunteer", "content": "So", "session_id": 16143, "sequence_id": 654, "annotations": []}
{"role": "volunteer", "content": "that would be", "session_id": 16143, "sequence_id": 655, "annotations": []}
{"role": "volunteer", "content": "let's see if I can", "session_id": 16143, "sequence_id": 656, "annotations": []}
{"role": "volunteer", "content": "make up more sense", "session_id": 16143, "sequence_id": 657, "annotations": []}
{"role": "volunteer", "content": "Now, let me, let me try to ride it out. So F of", "session_id": 16143, "sequence_id": 658, "annotations": []}
{"role": "volunteer", "content": "G of X", "session_id": 16143, "sequence_id": 659, "annotations": []}
{"role": "volunteer", "content": "would be F of 3 x minus 2.", "session_id": 16143, "sequence_id": 660, "annotations": []}
{"role": "volunteer", "content": "right? Cause that's what GFX equals to.", "session_id": 16143, "sequence_id": 661, "annotations": []}
{"role": "volunteer", "content": "So now, instead of just, so this is what F of X would be.", "session_id": 16143, "sequence_id": 662, "annotations": []}
{"role": "volunteer", "content": "X squared minus 3 X.", "session_id": 16143, "sequence_id": 663, "annotations": []}
{"role": "volunteer", "content": "wherever you see the X.", "session_id": 16143, "sequence_id": 664, "annotations": []}
{"role": "volunteer", "content": "you plug in X or whatever number.", "session_id": 16143, "sequence_id": 665, "annotations": []}
{"role": "volunteer", "content": "So when", "session_id": 16143, "sequence_id": 666, "annotations": []}
{"role": "volunteer", "content": "we have 3 x minus 2.", "session_id": 16143, "sequence_id": 667, "annotations": []}
{"role": "volunteer", "content": "or let's say X + 1.", "session_id": 16143, "sequence_id": 668, "annotations": []}
{"role": "volunteer", "content": "Wherever you have the X, that's the input.", "session_id": 16143, "sequence_id": 669, "annotations": []}
{"role": "volunteer", "content": "you would add one to it.", "session_id": 16143, "sequence_id": 670, "annotations": []}
{"role": "volunteer", "content": "though X + 1", "session_id": 16143, "sequence_id": 671, "annotations": []}
{"role": "volunteer", "content": "squad", "session_id": 16143, "sequence_id": 672, "annotations": []}
{"role": "volunteer", "content": "minus 3.", "session_id": 16143, "sequence_id": 673, "annotations": []}
{"role": "volunteer", "content": "and then that would have to add one too.", "session_id": 16143, "sequence_id": 674, "annotations": []}
{"role": "volunteer", "content": "So when the input is changed, right, this is the transformation", "session_id": 16143, "sequence_id": 675, "annotations": []}
{"role": "volunteer", "content": "instead of just X", "session_id": 16143, "sequence_id": 676, "annotations": []}
{"role": "volunteer", "content": "Now we have 3 x minus 2.", "session_id": 16143, "sequence_id": 677, "annotations": []}
{"role": "volunteer", "content": "though.", "session_id": 16143, "sequence_id": 678, "annotations": []}
{"role": "volunteer", "content": "if it makes sense", "session_id": 16143, "sequence_id": 679, "annotations": []}
{"role": "volunteer", "content": "this is a 3", "session_id": 16143, "sequence_id": 680, "annotations": []}
{"role": "volunteer", "content": "Wherever we see the X, we have to transform it, so.", "session_id": 16143, "sequence_id": 681, "annotations": []}
{"role": "volunteer", "content": "if it's", "session_id": 16143, "sequence_id": 682, "annotations": []}
{"role": "volunteer", "content": "X squared, then it becomes", "session_id": 16143, "sequence_id": 683, "annotations": []}
{"role": "volunteer", "content": "3 X minus 2", "session_id": 16143, "sequence_id": 684, "annotations": []}
{"role": "volunteer", "content": "2", "session_id": 16143, "sequence_id": 685, "annotations": []}
{"role": "volunteer", "content": "So", "session_id": 16143, "sequence_id": 686, "annotations": []}
{"role": "volunteer", "content": "if we say X is 1.", "session_id": 16143, "sequence_id": 687, "annotations": []}
{"role": "volunteer", "content": "then we would transform it to be 3 times 1.", "session_id": 16143, "sequence_id": 688, "annotations": []}
{"role": "volunteer", "content": "minus 2", "session_id": 16143, "sequence_id": 689, "annotations": []}
{"role": "volunteer", "content": "but", "session_id": 16143, "sequence_id": 690, "annotations": []}
{"role": "volunteer", "content": "the way we're doing it, we're using more symbols.", "session_id": 16143, "sequence_id": 691, "annotations": []}
{"role": "volunteer", "content": "instead of the numbers, but they're the same thing. We put the symbol in place of the number.", "session_id": 16143, "sequence_id": 692, "annotations": []}
{"role": "volunteer", "content": "So Xs are variable, they call it.", "session_id": 16143, "sequence_id": 693, "annotations": []}
{"role": "student", "content": "Mm", "session_id": 16143, "sequence_id": 694, "annotations": []}
{"role": "volunteer", "content": "So how would you do", "session_id": 16143, "sequence_id": 695, "annotations": []}
{"role": "volunteer", "content": "the next part, minus 3 X. What would that look like?", "session_id": 16143, "sequence_id": 696, "annotations": []}
{"role": "student", "content": "So you got one.", "session_id": 16143, "sequence_id": 697, "annotations": []}
{"role": "volunteer", "content": "Mhm.", "session_id": 16143, "sequence_id": 698, "annotations": []}
{"role": "student", "content": "you plug it out, so there'll be this one, OK.", "session_id": 16143, "sequence_id": 699, "annotations": []}
{"role": "student", "content": "So", "session_id": 16143, "sequence_id": 700, "annotations": []}
{"role": "student", "content": "X", "session_id": 16143, "sequence_id": 701, "annotations": []}
{"role": "student", "content": "+ 1", "session_id": 16143, "sequence_id": 702, "annotations": []}
{"role": "student", "content": "Then again, X + 1.", "session_id": 16143, "sequence_id": 703, "annotations": []}
{"role": "student", "content": "plus", "session_id": 16143, "sequence_id": 704, "annotations": []}
{"role": "student", "content": "1 in 3 x", "session_id": 16143, "sequence_id": 705, "annotations": []}
{"role": "volunteer", "content": "Mhm.", "session_id": 16143, "sequence_id": 706, "annotations": []}
{"role": "student", "content": "plus.", "session_id": 16143, "sequence_id": 707, "annotations": []}
{"role": "student", "content": "1, and then", "session_id": 16143, "sequence_id": 708, "annotations": []}
{"role": "student", "content": "based on that, we just solve it.", "session_id": 16143, "sequence_id": 709, "annotations": []}
{"role": "volunteer", "content": "Yup", "session_id": 16143, "sequence_id": 710, "annotations": []}
{"role": "student", "content": "So that'll be", "session_id": 16143, "sequence_id": 711, "annotations": []}
{"role": "student", "content": "so", "session_id": 16143, "sequence_id": 712, "annotations": []}
{"role": "student", "content": "SS squad", "session_id": 16143, "sequence_id": 713, "annotations": []}
{"role": "student", "content": "and then one plus.", "session_id": 16143, "sequence_id": 714, "annotations": []}
{"role": "student", "content": "1 X", "session_id": 16143, "sequence_id": 715, "annotations": []}
{"role": "student", "content": "+", "session_id": 16143, "sequence_id": 716, "annotations": []}
{"role": "volunteer", "content": "Mhm.", "session_id": 16143, "sequence_id": 717, "annotations": []}
{"role": "student", "content": "1 X again", "session_id": 16143, "sequence_id": 718, "annotations": []}
{"role": "student", "content": "um plus 2", "session_id": 16143, "sequence_id": 719, "annotations": []}
{"role": "student", "content": "and then minus", "session_id": 16143, "sequence_id": 720, "annotations": []}
{"role": "student", "content": "3 X", "session_id": 16143, "sequence_id": 721, "annotations": []}
{"role": "student", "content": "uh, and then minus.", "session_id": 16143, "sequence_id": 722, "annotations": []}
{"role": "student", "content": "3", "session_id": 16143, "sequence_id": 723, "annotations": []}
{"role": "student", "content": "and then we combine like terms, so.", "session_id": 16143, "sequence_id": 724, "annotations": []}
{"role": "volunteer", "content": "Uh, I would look at this one again. The last one plus", "session_id": 16143, "sequence_id": 725, "annotations": []}
{"role": "volunteer", "content": "the last term", "session_id": 16143, "sequence_id": 726, "annotations": []}
{"role": "volunteer", "content": "it should just", "session_id": 16143, "sequence_id": 727, "annotations": []}
{"role": "student", "content": "and I", "session_id": 16143, "sequence_id": 728, "annotations": []}
{"role": "student", "content": "should be just stood because 1 times 1.", "session_id": 16143, "sequence_id": 729, "annotations": []}
{"role": "volunteer", "content": "So 1 times 1 should be", "session_id": 16143, "sequence_id": 730, "annotations": []}
{"role": "volunteer", "content": "1.", "session_id": 16143, "sequence_id": 731, "annotations": []}
{"role": "student", "content": "Hm.", "session_id": 16143, "sequence_id": 732, "annotations": []}
{"role": "volunteer", "content": "We're doing 2 times 1, that would be.", "session_id": 16143, "sequence_id": 733, "annotations": []}
{"role": "student", "content": "Not bad", "session_id": 16143, "sequence_id": 734, "annotations": []}
{"role": "volunteer", "content": "no problem", "session_id": 16143, "sequence_id": 735, "annotations": []}
{"role": "student", "content": "Oh", "session_id": 16143, "sequence_id": 736, "annotations": []}
{"role": "student", "content": "Mm", "session_id": 16143, "sequence_id": 737, "annotations": []}
{"role": "student", "content": "OK", "session_id": 16143, "sequence_id": 738, "annotations": []}
{"role": "student", "content": "first one. So we combine life term.", "session_id": 16143, "sequence_id": 739, "annotations": []}
{"role": "volunteer", "content": "Mhm", "session_id": 16143, "sequence_id": 740, "annotations": []}
{"role": "student", "content": "Um.", "session_id": 16143, "sequence_id": 741, "annotations": []}
{"role": "student", "content": "so we put X squared first because it's the bigger.", "session_id": 16143, "sequence_id": 742, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 16143, "sequence_id": 743, "annotations": []}
{"role": "student", "content": "minus", "session_id": 16143, "sequence_id": 744, "annotations": []}
{"role": "student", "content": "3 X. No, wait, no, combined lecture. So,", "session_id": 16143, "sequence_id": 745, "annotations": []}
{"role": "student", "content": "there's one", "session_id": 16143, "sequence_id": 746, "annotations": []}
{"role": "student", "content": "1, so there'll be 2 eggs.", "session_id": 16143, "sequence_id": 747, "annotations": []}
{"role": "volunteer", "content": "Mhm.", "session_id": 16143, "sequence_id": 748, "annotations": []}
{"role": "student", "content": "uh, 2 minus 3, that'll be negative", "session_id": 16143, "sequence_id": 749, "annotations": []}
{"role": "student", "content": "1 X", "session_id": 16143, "sequence_id": 750, "annotations": []}
{"role": "volunteer", "content": "Yup", "session_id": 16143, "sequence_id": 751, "annotations": []}
{"role": "student", "content": "and then", "session_id": 16143, "sequence_id": 752, "annotations": []}
{"role": "student", "content": "obviously it would be", "session_id": 16143, "sequence_id": 753, "annotations": []}
{"role": "student", "content": "wait, is this negative", "session_id": 16143, "sequence_id": 754, "annotations": []}
{"role": "volunteer", "content": "Mhm.", "session_id": 16143, "sequence_id": 755, "annotations": []}
{"role": "student", "content": "Oh, never mind. 1 minus 3, so that'll be negative too.", "session_id": 16143, "sequence_id": 756, "annotations": []}
{"role": "volunteer", "content": "Yup", "session_id": 16143, "sequence_id": 757, "annotations": []}
{"role": "student", "content": "So that's the answer", "session_id": 16143, "sequence_id": 758, "annotations": []}
{"role": "volunteer", "content": "So that's the answer if Liam is", "session_id": 16143, "sequence_id": 759, "annotations": [{"pii_type": "PERSON", "surrogate": "Liam", "start": 24, "end": 28}]}
{"role": "volunteer", "content": "X + 1. So that, I gave you a different problem cause it might help uh", "session_id": 16143, "sequence_id": 760, "annotations": []}
{"role": "volunteer", "content": "The first step is just plugging in the expression. So I gave you a different one just because it's easier to solve.", "session_id": 16143, "sequence_id": 761, "annotations": []}
{"role": "volunteer", "content": "But for this one, you have to plug in.", "session_id": 16143, "sequence_id": 762, "annotations": []}
{"role": "volunteer", "content": "whatever GFX is. So that was 3 x minus 2.", "session_id": 16143, "sequence_id": 763, "annotations": []}
{"role": "volunteer", "content": "It was the same idea", "session_id": 16143, "sequence_id": 764, "annotations": []}
{"role": "volunteer", "content": "right? You would still have to", "session_id": 16143, "sequence_id": 765, "annotations": []}
{"role": "volunteer", "content": "uh do", "session_id": 16143, "sequence_id": 766, "annotations": []}
{"role": "volunteer", "content": "distribute or foil.", "session_id": 16143, "sequence_id": 767, "annotations": []}
{"role": "volunteer", "content": "and then", "session_id": 16143, "sequence_id": 768, "annotations": []}
{"role": "volunteer", "content": "this would just be a different number inside, so.", "session_id": 16143, "sequence_id": 769, "annotations": []}
{"role": "volunteer", "content": "it's everything you did", "session_id": 16143, "sequence_id": 770, "annotations": []}
{"role": "volunteer", "content": "but it would be using this 3 x minus 2.", "session_id": 16143, "sequence_id": 771, "annotations": []}
{"role": "volunteer", "content": "All right, so let me see if I can erase that.", "session_id": 16143, "sequence_id": 772, "annotations": []}
{"role": "volunteer", "content": "that was the crucial step. I think you have, you know, the rest of it.", "session_id": 16143, "sequence_id": 773, "annotations": []}
{"role": "volunteer", "content": "cause you just showed me, um", "session_id": 16143, "sequence_id": 774, "annotations": []}
{"role": "volunteer", "content": "I see if I can", "session_id": 16143, "sequence_id": 775, "annotations": []}
{"role": "volunteer", "content": "Oh", "session_id": 16143, "sequence_id": 776, "annotations": []}
{"role": "volunteer", "content": "trying to erase this", "session_id": 16143, "sequence_id": 777, "annotations": []}
{"role": "volunteer", "content": "Hm.", "session_id": 16143, "sequence_id": 778, "annotations": []}
{"role": "volunteer", "content": "So that's the big step you're missing. The first step, actually.", "session_id": 16143, "sequence_id": 779, "annotations": []}
{"role": "volunteer", "content": "It's just", "session_id": 16143, "sequence_id": 780, "annotations": []}
{"role": "volunteer", "content": "plugging in", "session_id": 16143, "sequence_id": 781, "annotations": []}
{"role": "volunteer", "content": "So you seem to know, I think you know how to simplify it.", "session_id": 16143, "sequence_id": 782, "annotations": []}
{"role": "volunteer", "content": "So it would just be plugging in", "session_id": 16143, "sequence_id": 783, "annotations": []}
{"role": "volunteer", "content": "So what would the", "session_id": 16143, "sequence_id": 784, "annotations": []}
{"role": "volunteer", "content": "if GFX is 3 x minus 2.", "session_id": 16143, "sequence_id": 785, "annotations": []}
{"role": "volunteer", "content": "what would F of GFX be?", "session_id": 16143, "sequence_id": 786, "annotations": []}
{"role": "volunteer", "content": "I think I did the first part for you", "session_id": 16143, "sequence_id": 787, "annotations": []}
{"role": "student", "content": "Yes, so that's.", "session_id": 16143, "sequence_id": 788, "annotations": []}
{"role": "student", "content": "so", "session_id": 16143, "sequence_id": 789, "annotations": []}
{"role": "student", "content": "I think I got", "session_id": 16143, "sequence_id": 790, "annotations": []}
{"role": "student", "content": "Oops", "session_id": 16143, "sequence_id": 791, "annotations": []}
{"role": "student", "content": "I think I got it. Sure.", "session_id": 16143, "sequence_id": 792, "annotations": []}
{"role": "student", "content": "boom", "session_id": 16143, "sequence_id": 793, "annotations": []}
{"role": "student", "content": "Wait, wait, 3 times 3.", "session_id": 16143, "sequence_id": 794, "annotations": []}
{"role": "student", "content": "is 9 and 3 times.", "session_id": 16143, "sequence_id": 795, "annotations": []}
{"role": "student", "content": "2,", "session_id": 16143, "sequence_id": 796, "annotations": []}
{"role": "student", "content": "I'm, I'm, am I tripping", "session_id": 16143, "sequence_id": 797, "annotations": []}
{"role": "student", "content": "3 times 3 is 9.", "session_id": 16143, "sequence_id": 798, "annotations": []}
{"role": "student", "content": "3 times 2 is not.", "session_id": 16143, "sequence_id": 799, "annotations": []}
{"role": "student", "content": "not 60", "session_id": 16143, "sequence_id": 800, "annotations": []}
{"role": "volunteer", "content": "Yep.", "session_id": 16143, "sequence_id": 801, "annotations": []}
{"role": "student", "content": "6, and plus 4.", "session_id": 16143, "sequence_id": 802, "annotations": []}
{"role": "student", "content": "no no not 4. What am I getting?", "session_id": 16143, "sequence_id": 803, "annotations": []}
{"role": "student", "content": "I think I'm getting all", "session_id": 16143, "sequence_id": 804, "annotations": []}
{"role": "student", "content": "OK, and the natives too, because I'll be 6 against 6.", "session_id": 16143, "sequence_id": 805, "annotations": []}
{"role": "volunteer", "content": "Mhm", "session_id": 16143, "sequence_id": 806, "annotations": []}
{"role": "student", "content": "And then it'll be plus", "session_id": 16143, "sequence_id": 807, "annotations": []}
{"role": "student", "content": "Yeah, that one's +4", "session_id": 16143, "sequence_id": 808, "annotations": []}
{"role": "volunteer", "content": "Mhm", "session_id": 16143, "sequence_id": 809, "annotations": []}
{"role": "student", "content": "and then we plugged in 9X.", "session_id": 16143, "sequence_id": 810, "annotations": []}
{"role": "student", "content": "And then we combined like two", "session_id": 16143, "sequence_id": 811, "annotations": []}
{"role": "volunteer", "content": "So", "session_id": 16143, "sequence_id": 812, "annotations": []}
{"role": "volunteer", "content": "I think this one", "session_id": 16143, "sequence_id": 813, "annotations": []}
{"role": "student", "content": "Hm", "session_id": 16143, "sequence_id": 814, "annotations": []}
{"role": "volunteer", "content": "uh", "session_id": 16143, "sequence_id": 815, "annotations": []}
{"role": "volunteer", "content": "what's -2 x 3.", "session_id": 16143, "sequence_id": 816, "annotations": []}
{"role": "volunteer", "content": "So I think you, you did this part, right?", "session_id": 16143, "sequence_id": 817, "annotations": []}
{"role": "volunteer", "content": "So", "session_id": 16143, "sequence_id": 818, "annotations": []}
{"role": "volunteer", "content": "this part", "session_id": 16143, "sequence_id": 819, "annotations": []}
{"role": "volunteer", "content": "we should look at that again", "session_id": 16143, "sequence_id": 820, "annotations": []}
{"role": "student", "content": "2 times 3 will be negative.", "session_id": 16143, "sequence_id": 821, "annotations": []}
{"role": "student", "content": "uh that's negative 6.", "session_id": 16143, "sequence_id": 822, "annotations": []}
{"role": "volunteer", "content": "Yeah.", "session_id": 16143, "sequence_id": 823, "annotations": []}
{"role": "student", "content": "It's negative", "session_id": 16143, "sequence_id": 824, "annotations": []}
{"role": "student", "content": "Um, no negative.", "session_id": 16143, "sequence_id": 825, "annotations": []}
{"role": "student", "content": "since we combined like 21.", "session_id": 16143, "sequence_id": 826, "annotations": []}
{"role": "student", "content": "X", "session_id": 16143, "sequence_id": 827, "annotations": []}
{"role": "student", "content": "and then", "session_id": 16143, "sequence_id": 828, "annotations": []}
{"role": "student", "content": "that's it", "session_id": 16143, "sequence_id": 829, "annotations": []}
{"role": "student", "content": "That's the answer.", "session_id": 16143, "sequence_id": 830, "annotations": []}
{"role": "volunteer", "content": "Yeah, that looks right to me. So let me see.", "session_id": 16143, "sequence_id": 831, "annotations": []}
{"role": "volunteer", "content": "Um.", "session_id": 16143, "sequence_id": 832, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 16143, "sequence_id": 833, "annotations": []}
{"role": "volunteer", "content": "Mm.", "session_id": 16143, "sequence_id": 834, "annotations": []}
{"role": "volunteer", "content": "Right", "session_id": 16143, "sequence_id": 835, "annotations": []}
{"role": "volunteer", "content": "12. Yes, that's right.", "session_id": 16143, "sequence_id": 836, "annotations": []}
{"role": "volunteer", "content": "So that, that would be your final answer if they asked you to solve it.", "session_id": 16143, "sequence_id": 837, "annotations": []}
{"role": "volunteer", "content": "or to simplify it", "session_id": 16143, "sequence_id": 838, "annotations": []}
{"role": "volunteer", "content": "then you would have that as your", "session_id": 16143, "sequence_id": 839, "annotations": []}
{"role": "volunteer", "content": "it would become a different function", "session_id": 16143, "sequence_id": 840, "annotations": []}
{"role": "volunteer", "content": "essentially, when you do this composite.", "session_id": 16143, "sequence_id": 841, "annotations": []}
{"role": "volunteer", "content": "but", "session_id": 16143, "sequence_id": 842, "annotations": []}
{"role": "volunteer", "content": "you put the pieces together.", "session_id": 16143, "sequence_id": 843, "annotations": []}
{"role": "volunteer", "content": "to make the whole thing", "session_id": 16143, "sequence_id": 844, "annotations": []}
{"role": "student", "content": "Mhm", "session_id": 16143, "sequence_id": 845, "annotations": []}
{"role": "volunteer", "content": "so that the important step is, is substitution.", "session_id": 16143, "sequence_id": 846, "annotations": []}
{"role": "volunteer", "content": "So when, when you see this F of G of X.", "session_id": 16143, "sequence_id": 847, "annotations": []}
{"role": "volunteer", "content": "you're substituting G", "session_id": 16143, "sequence_id": 848, "annotations": []}
{"role": "volunteer", "content": "wherever you see X", "session_id": 16143, "sequence_id": 849, "annotations": []}
{"role": "volunteer", "content": "that whole thing. This could be a very long or different function.", "session_id": 16143, "sequence_id": 850, "annotations": []}
{"role": "volunteer", "content": "I don't know what it, what it could be, but that's, that's the idea.", "session_id": 16143, "sequence_id": 851, "annotations": []}
{"role": "volunteer", "content": "If, if they ask you to do", "session_id": 16143, "sequence_id": 852, "annotations": []}
{"role": "volunteer", "content": "so what would the first step be if they asked you G of F of X", "session_id": 16143, "sequence_id": 853, "annotations": []}
{"role": "volunteer", "content": "composite of F or G of F of X.", "session_id": 16143, "sequence_id": 854, "annotations": []}
{"role": "volunteer", "content": "How would that be different", "session_id": 16143, "sequence_id": 855, "annotations": []}
{"role": "student", "content": "It's just like we switched them all around, that's it. We just switch", "session_id": 16143, "sequence_id": 856, "annotations": []}
{"role": "student", "content": "right?", "session_id": 16143, "sequence_id": 857, "annotations": []}
{"role": "volunteer", "content": "Yeah, so what would it", "session_id": 16143, "sequence_id": 858, "annotations": []}
{"role": "volunteer", "content": "what would it be", "session_id": 16143, "sequence_id": 859, "annotations": []}
{"role": "volunteer", "content": "That's F of GFX.", "session_id": 16143, "sequence_id": 860, "annotations": []}
{"role": "volunteer", "content": "cause they might ask you this too, your teacher might put this. She might ask for the other way. So what, what is the other way?", "session_id": 16143, "sequence_id": 861, "annotations": []}
{"role": "student", "content": "we just switched it, so we, uh, 3 and then 3x minus 2.", "session_id": 16143, "sequence_id": 862, "annotations": []}
{"role": "student", "content": "or minus 3 x minus 22.", "session_id": 16143, "sequence_id": 863, "annotations": []}
{"role": "student", "content": "Just switch it up", "session_id": 16143, "sequence_id": 864, "annotations": []}
{"role": "volunteer", "content": "Uh, could you write it down? Cause I couldn't see.", "session_id": 16143, "sequence_id": 865, "annotations": []}
{"role": "student", "content": "Yeah, of course.", "session_id": 16143, "sequence_id": 866, "annotations": []}
{"role": "student", "content": "So measure if it's", "session_id": 16143, "sequence_id": 867, "annotations": []}
{"role": "student", "content": "can I delete it", "session_id": 16143, "sequence_id": 868, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 16143, "sequence_id": 869, "annotations": []}
{"role": "student", "content": "Right", "session_id": 16143, "sequence_id": 870, "annotations": []}
{"role": "student", "content": "So if it's up G X", "session_id": 16143, "sequence_id": 871, "annotations": []}
{"role": "student", "content": "W 3", "session_id": 16143, "sequence_id": 872, "annotations": []}
{"role": "student", "content": "as I said", "session_id": 16143, "sequence_id": 873, "annotations": []}
{"role": "student", "content": "3", "session_id": 16143, "sequence_id": 874, "annotations": []}
{"role": "student", "content": "and then 3.", "session_id": 16143, "sequence_id": 875, "annotations": []}
{"role": "student", "content": "3", "session_id": 16143, "sequence_id": 876, "annotations": []}
{"role": "student", "content": "minus", "session_id": 16143, "sequence_id": 877, "annotations": []}
{"role": "student", "content": "we", "session_id": 16143, "sequence_id": 878, "annotations": []}
{"role": "student", "content": "most", "session_id": 16143, "sequence_id": 879, "annotations": []}
{"role": "volunteer", "content": "Mhm", "session_id": 16143, "sequence_id": 880, "annotations": []}
{"role": "student", "content": "And that's it. After that, we just stop it.", "session_id": 16143, "sequence_id": 881, "annotations": []}
{"role": "volunteer", "content": "Yeah.", "session_id": 16143, "sequence_id": 882, "annotations": []}
{"role": "volunteer", "content": "That's the most important step, is that", "session_id": 16143, "sequence_id": 883, "annotations": []}
{"role": "volunteer", "content": "That's probably half of it, I think.", "session_id": 16143, "sequence_id": 884, "annotations": []}
{"role": "volunteer", "content": "Well, once you know how to do that, then it shouldn't be impossible.", "session_id": 16143, "sequence_id": 885, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 16143, "sequence_id": 886, "annotations": []}
{"role": "student", "content": "It.", "session_id": 16143, "sequence_id": 887, "annotations": []}
{"role": "student", "content": "What is the 19 it's my.", "session_id": 16143, "sequence_id": 888, "annotations": []}
{"role": "volunteer", "content": "Mhm", "session_id": 16143, "sequence_id": 889, "annotations": []}
{"role": "volunteer", "content": "So, can you simplify that any further?", "session_id": 16143, "sequence_id": 890, "annotations": []}
{"role": "student", "content": "No", "session_id": 16143, "sequence_id": 891, "annotations": []}
{"role": "volunteer", "content": "Yeah.", "session_id": 16143, "sequence_id": 892, "annotations": []}
{"role": "volunteer", "content": "So that's what we were talking about in the", "session_id": 16143, "sequence_id": 893, "annotations": []}
{"role": "volunteer", "content": "I forget which problem, but", "session_id": 16143, "sequence_id": 894, "annotations": []}
{"role": "volunteer", "content": "whenever there are different exponents, you cannot", "session_id": 16143, "sequence_id": 895, "annotations": []}
{"role": "volunteer", "content": "add or subtract them", "session_id": 16143, "sequence_id": 896, "annotations": []}
{"role": "volunteer", "content": "Well, that would be the final", "session_id": 16143, "sequence_id": 897, "annotations": []}
{"role": "volunteer", "content": "final expression", "session_id": 16143, "sequence_id": 898, "annotations": []}
{"role": "volunteer", "content": "Uh", "session_id": 16143, "sequence_id": 899, "annotations": []}
{"role": "volunteer", "content": "yeah, that's about it", "session_id": 16143, "sequence_id": 900, "annotations": []}
{"role": "volunteer", "content": "Did you need help with anything else?", "session_id": 16143, "sequence_id": 901, "annotations": []}
{"role": "student", "content": "No", "session_id": 16143, "sequence_id": 902, "annotations": []}
{"role": "volunteer", "content": "OK. So just keep practicing whatever your teacher gives you.", "session_id": 16143, "sequence_id": 903, "annotations": []}
{"role": "volunteer", "content": "and then", "session_id": 16143, "sequence_id": 904, "annotations": []}
{"role": "volunteer", "content": "you should be prepared with the.", "session_id": 16143, "sequence_id": 905, "annotations": []}
{"role": "volunteer", "content": "with the rest of it", "session_id": 16143, "sequence_id": 906, "annotations": []}
{"role": "student", "content": "All right", "session_id": 16143, "sequence_id": 907, "annotations": []}
{"role": "volunteer", "content": "Mhm", "session_id": 16143, "sequence_id": 908, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 16143, "sequence_id": 909, "annotations": []}
{"role": "volunteer", "content": "Nothing else", "session_id": 16143, "sequence_id": 910, "annotations": []}
{"role": "student", "content": "No, nothing else", "session_id": 16143, "sequence_id": 911, "annotations": []}
{"role": "volunteer", "content": "OK. Well, have a good rest of your day.", "session_id": 16143, "sequence_id": 912, "annotations": []}
{"role": "volunteer", "content": "and I hope you learned something.", "session_id": 16143, "sequence_id": 913, "annotations": []}
{"role": "volunteer", "content": "OK.", "session_id": 16143, "sequence_id": 914, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 16143, "sequence_id": 915, "annotations": []}
{"role": "volunteer", "content": "Bye.", "session_id": 16143, "sequence_id": 916, "annotations": []}
{"role": "student", "content": "OK", "session_id": 16143, "sequence_id": 917, "annotations": []}
{"role": "volunteer", "content": "Hello", "session_id": 16273, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "hi", "session_id": 16273, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "what do you think about b?", "session_id": 16273, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "Hello?", "session_id": 16273, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "yes", "session_id": 16273, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "what do you think about b?", "session_id": 16273, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "all value of x should equal 0", "session_id": 16273, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "I am  not sure what you mean. they are asking for which value of x does g(x)=0", "session_id": 16273, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "can you point to the places where g(x)=0", "session_id": 16273, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "Yes, that's right. What are the values of x at those two points?", "session_id": 16273, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "(4,0) and (-4,0)", "session_id": 16273, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "thats right.", "session_id": 16273, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "those are the two points. What are the values of x for those two points? thats what they are actually asking.", "session_id": 16273, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "For the point (4,0), what is the value of x?", "session_id": 16273, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "4", "session_id": 16273, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "yes, and for the point (-4,0), what is the value of x?", "session_id": 16273, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "-4", "session_id": 16273, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "right.", "session_id": 16273, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "so those are the answers for b", "session_id": 16273, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "for c, they are asking for the intervals of x where g(x) <0.  In other words, for what values of x is the curve below the x axis?", "session_id": 16273, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "Hello?", "session_id": 16273, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "(-4,-5) and (4,-3)", "session_id": 16273, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "what is the first x value you have circled?", "session_id": 16273, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "(-4,-5)", "session_id": 16273, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "-4", "session_id": 16273, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "that point with the arrow has an x value of -5", "session_id": 16273, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "what is the x value for that point?", "session_id": 16273, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "-4", "session_id": 16273, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "right, so tht interval is written (-5,-4).  It always goes from left to right.", "session_id": 16273, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "how do you think you would write the second interval?", "session_id": 16273, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "(-3,4)", "session_id": 16273, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "what is the x value at the point with the arrow?", "session_id": 16273, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "4", "session_id": 16273, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "and what is the x value for the point where the arrow is now?", "session_id": 16273, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "5", "session_id": 16273, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "right, so what I have written is the x interval for which g(x) <0", "session_id": 16273, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "since the dots are closed circles at x=-5 and x =5, perhaps better to use brackets for those numbers", "session_id": 16273, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "ok", "session_id": 16273, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "Ok, have a good rest of the rest of the day.", "session_id": 16273, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "did you have a question about this answer?", "session_id": 16273, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "Hello?", "session_id": 16273, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "Sorry, but I need to go.", "session_id": 16273, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "bye", "session_id": 16273, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "Hi.  How are you?", "session_id": 16307, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "hi. I'm doing good. how about you?", "session_id": 16307, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "Good.  How can I help you?", "session_id": 16307, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "I need help with a homework assignment", "session_id": 16307, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "Ok", "session_id": 16307, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "can I have a couple minutes to get it onto the board?", "session_id": 16307, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "Sure thing", "session_id": 16307, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "Start with 19?", "session_id": 16307, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "Do you have any ideas on 19?", "session_id": 16307, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "so for questions 19-22 I answered in the format \"One angle is blank and the other is blank.\"", "session_id": 16307, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "I just wanted to make sure that that was the correct format", "session_id": 16307, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "Sure. Did you solve for the angles?", "session_id": 16307, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "yes", "session_id": 16307, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "Ok.  What did you get on 19?", "session_id": 16307, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "\"One angle 30 degrees and the other is 60 degrees.\"", "session_id": 16307, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "Right.  Good job.", "session_id": 16307, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "on 20 does it matter in what order I list the measures", "session_id": 16307, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "I wouldn't think so, but I don't know for sure.  Mathematically it shouldn't matter.", "session_id": 16307, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "ok", "session_id": 16307, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "What did you get on 20?", "session_id": 16307, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "\"One angle 45 degrees and the other is 45 degrees.\"", "session_id": 16307, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "Very good.", "session_id": 16307, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "I was pretty sure that that was the format for answering 20-21 but I just was unsure if that was the format for 21-22", "session_id": 16307, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "The directions say two answers for each problem.  Again, it shouldn't matter as to the order.  Mathematically anyway.", "session_id": 16307, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "so as long as I have the 2 measures it doesn't matter how I phrase my answer?", "session_id": 16307, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "I assume you are inputting answers to a computer of some sort.  I can't guarantee what that software does.  But, in my opinion, you are to provide 2 answers and order shouldn't matter.", "session_id": 16307, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "I'm writing it down", "session_id": 16307, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "so it doesn't matter how I phrase my answer as long as I have the 2 measures", "session_id": 16307, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "right", "session_id": 16307, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "What are your answers for 21?", "session_id": 16307, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "I agree", "session_id": 16307, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "\"One angle is 81 degrees and the other is 9 degrees.\"", "session_id": 16307, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "Right", "session_id": 16307, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "Input 9 degrees first, then 81 degrees", "session_id": 16307, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "so if I already wrote down my answer I should rewrite it?", "session_id": 16307, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "No.  Order shouldn't matter.", "session_id": 16307, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "ok", "session_id": 16307, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "so that answer is good?", "session_id": 16307, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "In my opinion.  I can't know what the system you are using will do.  Mathematically, it doesn't matter what order the angles are.  You have answered the question correctly, in my opinion.", "session_id": 16307, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "ok", "session_id": 16307, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "and does the way I phrased it make sense?", "session_id": 16307, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "Very much so!", "session_id": 16307, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "What are your answers for 22?", "session_id": 16307, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "\"One angle is 72 degrees and the other is 18 degrees.\"", "session_id": 16307, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "Correct.", "session_id": 16307, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "so am I good to move on from 19-22?", "session_id": 16307, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "Yes", "session_id": 16307, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "ok", "session_id": 16307, "sequence_id": 47, "annotations": []}
{"role": "student", "content": "Write and solve an algebraic equation to find the measure of each angle based on the given description.", "session_id": 16307, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "The measure of an angle is 6 degrees less than the measure of its complement.", "session_id": 16307, "sequence_id": 49, "annotations": []}
{"role": "student", "content": "I need help with that one", "session_id": 16307, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "Ok", "session_id": 16307, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "Let's let x be the measure of the angle we are finding.", "session_id": 16307, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "What would be an expression for the complement of the angle x", "session_id": 16307, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "?", "session_id": 16307, "sequence_id": 54, "annotations": []}
{"role": "student", "content": "+x=90?", "session_id": 16307, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "The complement would be (90-x)", "session_id": 16307, "sequence_id": 56, "annotations": []}
{"role": "student", "content": "ok", "session_id": 16307, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "So.  Consider this", "session_id": 16307, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "x + 6 = 90 - x", "session_id": 16307, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "If the angle x is 6 degrees less than it's complement, we simply add 6 degrees to the angle to make it equal to it's complement]", "session_id": 16307, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "Do you see why that is the equation we need?", "session_id": 16307, "sequence_id": 61, "annotations": []}
{"role": "student", "content": "so the equation would be \"x+6=90-x\"?", "session_id": 16307, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "Give me a minute", "session_id": 16307, "sequence_id": 63, "annotations": []}
{"role": "student", "content": "ok", "session_id": 16307, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "Yes", "session_id": 16307, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "Do you understand the logic of it?", "session_id": 16307, "sequence_id": 66, "annotations": []}
{"role": "student", "content": "yes", "session_id": 16307, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "Go ahead and solve it to get our answers", "session_id": 16307, "sequence_id": 68, "annotations": []}
{"role": "student", "content": "so once I write the equation and write what x equals am I done?", "session_id": 16307, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "Solve the equation for x.  Let me know if you need help with that.", "session_id": 16307, "sequence_id": 70, "annotations": []}
{"role": "student", "content": "x=42", "session_id": 16307, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "Great.", "session_id": 16307, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "What is the complement of 42 degrees?", "session_id": 16307, "sequence_id": 73, "annotations": []}
{"role": "student", "content": "48", "session_id": 16307, "sequence_id": 74, "annotations": []}
{"role": "volunteer", "content": "Those are your answers!", "session_id": 16307, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "You can see that one is 6 degrees different from the other", "session_id": 16307, "sequence_id": 76, "annotations": []}
{"role": "student", "content": "I have to go do something. Can you stay on the line and  I will come back when I am done?", "session_id": 16307, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "How long will you be?", "session_id": 16307, "sequence_id": 78, "annotations": []}
{"role": "student", "content": "I'm not sure", "session_id": 16307, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "Well.  I can wait 15 minutes. Otherwise, you can put in another request.", "session_id": 16307, "sequence_id": 80, "annotations": []}
{"role": "student", "content": "ok", "session_id": 16307, "sequence_id": 81, "annotations": []}
{"role": "student", "content": "I will let you know once I am back", "session_id": 16307, "sequence_id": 82, "annotations": []}
{"role": "volunteer", "content": "Ok.  If it's longer than 15 minutes, just put in another request.", "session_id": 16307, "sequence_id": 83, "annotations": []}
{"role": "student", "content": "ok", "session_id": 16307, "sequence_id": 84, "annotations": []}
{"role": "student", "content": "I'm back", "session_id": 16307, "sequence_id": 85, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 16307, "sequence_id": 86, "annotations": []}
{"role": "student", "content": "so does x only equal 1 value or 2?", "session_id": 16307, "sequence_id": 87, "annotations": []}
{"role": "volunteer", "content": "x is only 1 value, but the other angle 90-x is also answer to the question.", "session_id": 16307, "sequence_id": 88, "annotations": []}
{"role": "volunteer", "content": "x = 42, 90 - x = 48", "session_id": 16307, "sequence_id": 89, "annotations": []}
{"role": "student", "content": "so would I just write \"x+6=90-x\" and then write \"42 degrees and 48 degrees\"?", "session_id": 16307, "sequence_id": 90, "annotations": []}
{"role": "volunteer", "content": "I would write \"x+6=90-x\" and the angle x is 42 degrees and it's complement is 48 degrees.", "session_id": 16307, "sequence_id": 91, "annotations": []}
{"role": "student", "content": "write this?:\"x=42\"", "session_id": 16307, "sequence_id": 92, "annotations": []}
{"role": "student", "content": "and then this?\"One angle is 42 degrees and the other is 48 degrees.\"", "session_id": 16307, "sequence_id": 93, "annotations": []}
{"role": "volunteer", "content": "That would be fine.", "session_id": 16307, "sequence_id": 94, "annotations": []}
{"role": "volunteer", "content": "Don't forget to write the equation x + 6 = 90 - x as the equation asked for in the question", "session_id": 16307, "sequence_id": 95, "annotations": []}
{"role": "student", "content": "so I should have those 3 things?", "session_id": 16307, "sequence_id": 96, "annotations": []}
{"role": "volunteer", "content": "When you first put the problem to me a few minutes ago", "session_id": 16307, "sequence_id": 97, "annotations": []}
{"role": "volunteer", "content": "you said both the equation needed to be one answer\\", "session_id": 16307, "sequence_id": 98, "annotations": []}
{"role": "volunteer", "content": "and the answers (two of them) would be needed as well.", "session_id": 16307, "sequence_id": 99, "annotations": []}
{"role": "volunteer", "content": "That's three things:", "session_id": 16307, "sequence_id": 100, "annotations": []}
{"role": "volunteer", "content": "x + 6 = 90 - x", "session_id": 16307, "sequence_id": 101, "annotations": []}
{"role": "volunteer", "content": "x = 42 degrees", "session_id": 16307, "sequence_id": 102, "annotations": []}
{"role": "volunteer", "content": "and it's complement is 48 degrees", "session_id": 16307, "sequence_id": 103, "annotations": []}
{"role": "student", "content": "so \"x+6=90-x\", \"x=42\", \"One angle is 42 degrees and the other is 48 degrees.\"?", "session_id": 16307, "sequence_id": 104, "annotations": []}
{"role": "volunteer", "content": "Yes.  That should be fine", "session_id": 16307, "sequence_id": 105, "annotations": []}
{"role": "student", "content": "ok", "session_id": 16307, "sequence_id": 106, "annotations": []}
{"role": "student", "content": "The measure of an angle is 12 degrees more than twice the measure of its complement.", "session_id": 16307, "sequence_id": 107, "annotations": []}
{"role": "student", "content": "Would the equation be 90-x=12+(2x)", "session_id": 16307, "sequence_id": 108, "annotations": []}
{"role": "volunteer", "content": "You have made a nice attempt, but it is a bit off", "session_id": 16307, "sequence_id": 109, "annotations": []}
{"role": "volunteer", "content": "Let me walk you through it", "session_id": 16307, "sequence_id": 110, "annotations": []}
{"role": "volunteer", "content": "The measure of an angle is", "session_id": 16307, "sequence_id": 111, "annotations": []}
{"role": "volunteer", "content": "can be represented by x =", "session_id": 16307, "sequence_id": 112, "annotations": []}
{"role": "volunteer", "content": "The measure of it's complement is 90-x", "session_id": 16307, "sequence_id": 113, "annotations": []}
{"role": "volunteer", "content": "That make sense so far?", "session_id": 16307, "sequence_id": 114, "annotations": []}
{"role": "student", "content": "yes", "session_id": 16307, "sequence_id": 115, "annotations": []}
{"role": "volunteer", "content": "Putting the rest of the verbiage together look like this", "session_id": 16307, "sequence_id": 116, "annotations": []}
{"role": "volunteer", "content": "x = 2(90-x) + 12", "session_id": 16307, "sequence_id": 117, "annotations": []}
{"role": "volunteer", "content": "The measure of an angle is 12 degrees more than twice it's complement", "session_id": 16307, "sequence_id": 118, "annotations": []}
{"role": "volunteer", "content": "Do you see the difference between this and what you tried (valiantly)?", "session_id": 16307, "sequence_id": 119, "annotations": []}
{"role": "student", "content": "yes", "session_id": 16307, "sequence_id": 120, "annotations": []}
{"role": "volunteer", "content": "It take practice to learn to translate from words to algebraic equations.", "session_id": 16307, "sequence_id": 121, "annotations": []}
{"role": "volunteer", "content": "Jamie,  go ahead and solve this okay?", "session_id": 16307, "sequence_id": 122, "annotations": [{"pii_type": "PERSON", "surrogate": "Jamie", "start": 0, "end": 5}]}
{"role": "student", "content": "so the equation is \"x = 2(90-x)+12\"?", "session_id": 16307, "sequence_id": 123, "annotations": []}
{"role": "volunteer", "content": "Yes.  Do you see that it is nicely translated as \"an angle is 12 degrees more than twice it's complement'?", "session_id": 16307, "sequence_id": 124, "annotations": []}
{"role": "student", "content": "yes", "session_id": 16307, "sequence_id": 125, "annotations": []}
{"role": "volunteer", "content": "When you have solved for x that will be the only answer to this problem.", "session_id": 16307, "sequence_id": 126, "annotations": []}
{"role": "student", "content": "Why did the other one have 2 but this one only has 1?", "session_id": 16307, "sequence_id": 127, "annotations": []}
{"role": "volunteer", "content": "They are really only asking for the one angle in this problem, at least the wording you gave to me.", "session_id": 16307, "sequence_id": 128, "annotations": []}
{"role": "volunteer", "content": "They are looking for the measure of the angle that satisfies this condiition", "session_id": 16307, "sequence_id": 129, "annotations": []}
{"role": "student", "content": "the wording to me looks the same as the last question", "session_id": 16307, "sequence_id": 130, "annotations": []}
{"role": "student", "content": "I have to go do something. Can you stay on the line and I will come back when I am done?", "session_id": 16307, "sequence_id": 131, "annotations": []}
{"role": "volunteer", "content": "You can answer it as you see fit.  If you need to provide the complement, by all means do so.", "session_id": 16307, "sequence_id": 132, "annotations": []}
{"role": "volunteer", "content": "Again, as long as it is about 10 minutes, ok.", "session_id": 16307, "sequence_id": 133, "annotations": []}
{"role": "volunteer", "content": "If you need more help after that, just put in a request.", "session_id": 16307, "sequence_id": 134, "annotations": []}
{"role": "student", "content": "ok. I will let you know once I am back", "session_id": 16307, "sequence_id": 135, "annotations": []}
{"role": "volunteer", "content": "Jamie.  I need to go now.  You should get 64 degrees for the solution to the equation for the last problem.  Please put in another request if you need more help.  Thanks.", "session_id": 16307, "sequence_id": 136, "annotations": [{"pii_type": "PERSON", "surrogate": "Jamie", "start": 0, "end": 5}]}
{"role": "volunteer", "content": "Hello How are you?", "session_id": 16409, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "good", "session_id": 16409, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "i was wondering how to do a certain question", "session_id": 16409, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "ill upload it", "session_id": 16409, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 16409, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 16409, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "on the exams method points are a good percent so id also like to know a pretty standard way of going at the problem", "session_id": 16409, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 16409, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "i found the inverse and go", "session_id": 16409, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "t", "session_id": 16409, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "OK I will copy to 2nd screen pls wait", "session_id": 16409, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "OK go ahead", "session_id": 16409, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "however i do not know what it is asking for when it says in the domain [0,1]", "session_id": 16409, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "or what mutual inverses means", "session_id": 16409, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 16409, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "let me think", "session_id": 16409, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "did u get this by replacing x with 'y' and then solving for y?", "session_id": 16409, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "yup", "session_id": 16409, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "OK let us assume that is ok", "session_id": 16409, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "Now suppos x = 2", "session_id": 16409, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "is this function defined?", "session_id": 16409, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "i mean the inverse", "session_id": 16409, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "its not real", "session_id": 16409, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "I agree", "session_id": 16409, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "because its the square root of something less than 1", "session_id": 16409, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "i mean 0", "session_id": 16409, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "That is why I *think* they have restricted the domain. Seee what I mean?", "session_id": 16409, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "yea", "session_id": 16409, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "Does that help?", "session_id": 16409, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "i mean i understand that but i still dont really know what its asking of me", "session_id": 16409, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 16409, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "let's try this", "session_id": 16409, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "what is f(-1) (not the invers but f)", "session_id": 16409, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "1/2", "session_id": 16409, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "yes and what is 1/2) ?", "session_id": 16409, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "1/2", "session_id": 16409, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "good", "session_id": 16409, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "so its even", "session_id": 16409, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "now have you heard of the horiz line test?", "session_id": 16409, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "yes", "session_id": 16409, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "see if the domain included both -1 and 1 we could not really have an inverse!", "session_id": 16409, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "yea", "session_id": 16409, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "Maybe that helps with the domain?", "session_id": 16409, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "yea", "session_id": 16409, "sequence_id": 43, "annotations": []}
{"role": "student", "content": "i mean", "session_id": 16409, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "i can upload what the textbook says the answer is", "session_id": 16409, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "OK pls do", "session_id": 16409, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "but that book is also notorious for being wrong", "session_id": 16409, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "Ohhhh OK", "session_id": 16409, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "well I have lots of experince so we will see", "session_id": 16409, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "wow it is confusing let me think", "session_id": 16409, "sequence_id": 50, "annotations": []}
{"role": "student", "content": "i see that they plugged inverse into the original", "session_id": 16409, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "i guess its to see if they get x", "session_id": 16409, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "OK yes that is to show that they are mutual inverses", "session_id": 16409, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "we did not get to the yet", "session_id": 16409, "sequence_id": 54, "annotations": []}
{"role": "student", "content": "what does mutual inverses mean?", "session_id": 16409, "sequence_id": 55, "annotations": []}
{"role": "student", "content": "that they are inverses of eachother?", "session_id": 16409, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "I think it means that if you take the inverse of the invers you get back to where you started", "session_id": 16409, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 16409, "sequence_id": 58, "annotations": []}
{"role": "student", "content": "ohh ok", "session_id": 16409, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "btw I look at my kbd a lot so sometimes I miss your msg for a minute or so", "session_id": 16409, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "I will cirlce", "session_id": 16409, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "on the bd", "session_id": 16409, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "There they are plugging in our \"new\" y for the old x", "session_id": 16409, "sequence_id": 63, "annotations": []}
{"role": "student", "content": "yea", "session_id": 16409, "sequence_id": 64, "annotations": []}
{"role": "student", "content": "so theyre just trying to pretty much say", "session_id": 16409, "sequence_id": 65, "annotations": []}
{"role": "student", "content": "that these functions are equal to eachother in the given domain?", "session_id": 16409, "sequence_id": 66, "annotations": []}
{"role": "student", "content": "well not equal", "session_id": 16409, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "not exactly", "session_id": 16409, "sequence_id": 68, "annotations": []}
{"role": "student", "content": "i mean inverses", "session_id": 16409, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "but they are showing that if you take the inverse of the inverse you get back to x", "session_id": 16409, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "Yes", "session_id": 16409, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "Also I will circle", "session_id": 16409, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "They can I *think* take abs vlaue becuase of the domain", "session_id": 16409, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "Otherwise they might need to say plus or minu x", "session_id": 16409, "sequence_id": 74, "annotations": []}
{"role": "student", "content": "ohhhh", "session_id": 16409, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "where I circled in blue", "session_id": 16409, "sequence_id": 76, "annotations": []}
{"role": "student", "content": "ok that makes sense", "session_id": 16409, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "good", "session_id": 16409, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "IMHO this ques is a bit confusing", "session_id": 16409, "sequence_id": 79, "annotations": []}
{"role": "student", "content": "it is", "session_id": 16409, "sequence_id": 80, "annotations": []}
{"role": "student", "content": "but then again thats ib for you", "session_id": 16409, "sequence_id": 81, "annotations": []}
{"role": "volunteer", "content": "ib ?", "session_id": 16409, "sequence_id": 82, "annotations": []}
{"role": "student", "content": "international baccalaureate program", "session_id": 16409, "sequence_id": 83, "annotations": []}
{"role": "volunteer", "content": "OK I see Ok", "session_id": 16409, "sequence_id": 84, "annotations": []}
{"role": "volunteer", "content": "Do they tend to be confusing?", "session_id": 16409, "sequence_id": 85, "annotations": []}
{"role": "student", "content": "VERY", "session_id": 16409, "sequence_id": 86, "annotations": []}
{"role": "student", "content": "and our teacher has never taught the class before, and our previous teacher that taught for 40 years just retired last year", "session_id": 16409, "sequence_id": 87, "annotations": []}
{"role": "volunteer", "content": "I see", "session_id": 16409, "sequence_id": 88, "annotations": []}
{"role": "volunteer", "content": "well mayb the questions make morfe sense to studentds in London", "session_id": 16409, "sequence_id": 89, "annotations": [{"pii_type": "LOCATION", "surrogate": "London", "start": 57, "end": 63}]}
{"role": "volunteer", "content": "LOL", "session_id": 16409, "sequence_id": 90, "annotations": []}
{"role": "student", "content": "i mean i guess", "session_id": 16409, "sequence_id": 91, "annotations": []}
{"role": "student", "content": "theres just not many good resources for the class", "session_id": 16409, "sequence_id": 92, "annotations": []}
{"role": "volunteer", "content": "I see", "session_id": 16409, "sequence_id": 93, "annotations": []}
{"role": "volunteer", "content": "well pls be kind to you tchr", "session_id": 16409, "sequence_id": 94, "annotations": []}
{"role": "student", "content": "and im not very good at math in the first place", "session_id": 16409, "sequence_id": 95, "annotations": []}
{"role": "volunteer", "content": "Teaching a new course is a challneg", "session_id": 16409, "sequence_id": 96, "annotations": []}
{"role": "student", "content": "i am, i know she's trying", "session_id": 16409, "sequence_id": 97, "annotations": []}
{"role": "volunteer", "content": "good :)", "session_id": 16409, "sequence_id": 98, "annotations": []}
{"role": "volunteer", "content": "and you have Sarah too", "session_id": 16409, "sequence_id": 99, "annotations": [{"pii_type": "PERSON", "surrogate": "Sarah", "start": 13, "end": 18}]}
{"role": "student", "content": "yea ive been on here for like 2 hours a day for the past month", "session_id": 16409, "sequence_id": 100, "annotations": []}
{"role": "volunteer", "content": "ohhh I see", "session_id": 16409, "sequence_id": 101, "annotations": []}
{"role": "volunteer", "content": "OK do u have another ques now?", "session_id": 16409, "sequence_id": 102, "annotations": []}
{"role": "student", "content": "nope, that was it", "session_id": 16409, "sequence_id": 103, "annotations": []}
{"role": "student", "content": "i finished all other questions in the review chapter", "session_id": 16409, "sequence_id": 104, "annotations": []}
{"role": "student", "content": "thanks for helping!", "session_id": 16409, "sequence_id": 105, "annotations": []}
{"role": "volunteer", "content": "You are welcome", "session_id": 16409, "sequence_id": 106, "annotations": []}
{"role": "volunteer", "content": "u seem to catch on quickly", "session_id": 16409, "sequence_id": 107, "annotations": []}
{"role": "student", "content": "i do", "session_id": 16409, "sequence_id": 108, "annotations": []}
{"role": "volunteer", "content": "Hope to \"see\" you again. BYE BYE", "session_id": 16409, "sequence_id": 109, "annotations": []}
{"role": "student", "content": "hey", "session_id": 16420, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "how would i solve this?", "session_id": 16420, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "because", "session_id": 16420, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "normally these kinds of problems would have 2 cases but this one has 4 because both sides are abs value", "session_id": 16420, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "i get x<= 1/3", "session_id": 16420, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "but i get x<=-3 instead of x>=-3", "session_id": 16420, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "ok let me work it out quickly and ill take a look", "session_id": 16420, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "ok", "session_id": 16420, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "or do you want to write your work on the board and i can tell you where you went wrong", "session_id": 16420, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "i think that would be more productive", "session_id": 16420, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "that's what i did", "session_id": 16420, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "hmm that should work", "session_id": 16420, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "i feel like i must have missed a step to flip the sign", "session_id": 16420, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "because after checking my work i found that x is supposed to be >=-3", "session_id": 16420, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "oh i see what it is", "session_id": 16420, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "this is an extraneous solution", "session_id": 16420, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "if you plug in -3, all is good. however, if you plug in another value that is less than -3, say -4, the equation is no longer satisfied", "session_id": 16420, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "i'll write it on the board", "session_id": 16420, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "oh but", "session_id": 16420, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "how would i know its supposed to be greater than -3 instead?", "session_id": 16420, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "did you solve in all four cases?", "session_id": 16420, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "wait how do i do that?", "session_id": 16420, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "i was only taught to do 2", "session_id": 16420, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "that is what i was explaining at the beginning. because there is an abs value on both sides, you have two cases for each of them so there are 4 cases. I'll show on the board", "session_id": 16420, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "you dont have to solve for all 4", "session_id": 16420, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "its ok im assuming itll be", "session_id": 16420, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "+ >= +", "session_id": 16420, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "+<= +", "session_id": 16420, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "->= +", "session_id": 16420, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "-<= +", "session_id": 16420, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "right?", "session_id": 16420, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "no", "session_id": 16420, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "yes for the +/- but not for the other", "session_id": 16420, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "it's always >=", "session_id": 16420, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "huh", "session_id": 16420, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "just showing what signs i will be putting for each side", "session_id": 16420, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "so it is always >=", "session_id": 16420, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "so", "session_id": 16420, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "+>=+", "session_id": 16420, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "+>=-", "session_id": 16420, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "and what other 2?", "session_id": 16420, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "it is just shorthand so i don't have to rewrite the equation so many times", "session_id": 16420, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "->=-", "session_id": 16420, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "->=+", "session_id": 16420, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "i was just writing those little things to make it clearer. they are not a part of the problem. don't get confused by them", "session_id": 16420, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "no it actually does make sense", "session_id": 16420, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 16420, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "good", "session_id": 16420, "sequence_id": 47, "annotations": []}
{"role": "student", "content": "it makes more sense because thats how i was taught the first 2", "session_id": 16420, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "but the teacher who made all of our notes no longer teaches so if some pages go missing we just have to do without them", "session_id": 16420, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "oh no. that's annoying. i'm sorry that you have to deal with that", "session_id": 16420, "sequence_id": 50, "annotations": []}
{"role": "student", "content": "its ok i feel like im still doing fairly decently", "session_id": 16420, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "that's good", "session_id": 16420, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "you seem to know a lot", "session_id": 16420, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "the important thing here is to check for extraneous solutions", "session_id": 16420, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "you will see here that x = -1 and x = 2 are actually both extraneous. that is how you get the correct answer", "session_id": 16420, "sequence_id": 55, "annotations": []}
{"role": "student", "content": "ohhh ok", "session_id": 16420, "sequence_id": 56, "annotations": []}
{"role": "student", "content": "theres 1 more question im confused on", "session_id": 16420, "sequence_id": 57, "annotations": []}
{"role": "student", "content": "mostly just because i dont know what its asking from me", "session_id": 16420, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "i'm sorry but i have to go in 5 mins.", "session_id": 16420, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "we can work on it until then though", "session_id": 16420, "sequence_id": 60, "annotations": []}
{"role": "student", "content": "oh ok", "session_id": 16420, "sequence_id": 61, "annotations": []}
{"role": "student", "content": "no its fine because its a longer one", "session_id": 16420, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "oh ok", "session_id": 16420, "sequence_id": 63, "annotations": []}
{"role": "student", "content": "thanks for helping", "session_id": 16420, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "of course", "session_id": 16420, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "hi how can i help you today", "session_id": 16425, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "hello! I'm confused with this problem", "session_id": 16425, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 16425, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "is that all that the question asks?", "session_id": 16425, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "yes", "session_id": 16425, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "did thye give any other info?", "session_id": 16425, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "oh ok", "session_id": 16425, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "the directions say to solve", "session_id": 16425, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "solve for x?", "session_id": 16425, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "no like determine at what points the inequality is true", "session_id": 16425, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "in interval notation", "session_id": 16425, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "oh i see", "session_id": 16425, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "well then we can just look at the graph. it is asking where the green line is less than or equal to the blue curve", "session_id": 16425, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "and you look at the y values", "session_id": 16425, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "for example, which one is greater at x=0", "session_id": 16425, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "actually that is hard to tell", "session_id": 16425, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "try when x=1", "session_id": 16425, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "they are actually equal at this point", "session_id": 16425, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "now at x=2", "session_id": 16425, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "so here the green line is greater than the blue", "session_id": 16425, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "same at x =2", "session_id": 16425, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "i mean x=3", "session_id": 16425, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "can you do the rest?", "session_id": 16425, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "Hello Jamie! How can I help you today?", "session_id": 16884, "sequence_id": 0, "annotations": [{"pii_type": "PERSON", "surrogate": "Jamie", "start": 6, "end": 11}]}
{"role": "student", "content": "I need help preparing for a unit test and I have practice problems I need help with", "session_id": 16884, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "the first ? is up", "session_id": 16884, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "how r u today", "session_id": 16884, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "Alright!", "session_id": 16884, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "I'm great! How about you?", "session_id": 16884, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "doing good", "session_id": 16884, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "Alright, it looks like you already concluded that the law of cosines is needed to solve this problem, which is correct.", "session_id": 16884, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "How do you think the measure of angle B can be found?", "session_id": 16884, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "M<B = 9mm / cos(56deg)", "session_id": 16884, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "Correct!", "session_id": 16884, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "wait actually!?", "session_id": 16884, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "No wait, I'm sorry, I made a mistake. First we need to solve for side a.", "session_id": 16884, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "oh", "session_id": 16884, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "After finding the measure of side a we can find the measure of the other angles.", "session_id": 16884, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "ok", "session_id": 16884, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "so M<A = a/cos(56deg)", "session_id": 16884, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "Correct! But it should be 66 degrees, not 56.", "session_id": 16884, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "oh it looked like 56", "session_id": 16884, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "2.459", "session_id": 16884, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "Not quite. We need to use the law of cosines formula to solve for a.", "session_id": 16884, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "Are you familiar with what the formula is?", "session_id": 16884, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "isn't it A^2 + B^2 = C^2?", "session_id": 16884, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "That is the pythagorean theorem. I'll write out the formula for the law of cosines.", "session_id": 16884, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "got it", "session_id": 16884, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "b and c represent the two other sides, 9mm and 5mm", "session_id": 16884, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "a = sqrt( 9mm^2 + 5mm^2 - 2(9)(5) cos (A)", "session_id": 16884, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "Well done! Now, how can we solve this equation?", "session_id": 16884, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "yes", "session_id": 16884, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "a = sqrt(106mm^2-90mm^2cos(A)", "session_id": 16884, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "is what I got", "session_id": 16884, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "Good! But it can be simplified further. cos(66) can be substituted in for cos(A)", "session_id": 16884, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "ok", "session_id": 16884, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "take two", "session_id": 16884, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "8.331", "session_id": 16884, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "Correct! Great job.", "session_id": 16884, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "Now we can solve for the measure of angle b! How do you think we would do this?", "session_id": 16884, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "not sure", "session_id": 16884, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "No worries! Since we have side a and the measure of the angle opposite to it, we can use the law of sines.", "session_id": 16884, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "ok", "session_id": 16884, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "a / sin(A)  = b/sin(B) = c/sin(C)", "session_id": 16884, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "That's a good start! What can be substituted into that equation?", "session_id": 16884, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "8.331/sin(66deg) = 9mm/sin(B) = 5mm/sin(C)", "session_id": 16884, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "Right! Let's ignore the 5mm/sin(C) for now since we are only solving for angle B right now.", "session_id": 16884, "sequence_id": 43, "annotations": []}
{"role": "student", "content": "ok", "session_id": 16884, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "How do you think we solve for angle B?", "session_id": 16884, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "80.73deg", "session_id": 16884, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "8.331/sin(66deg) = 9mm/sin(B)", "session_id": 16884, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "That is correct! Angle B would be 80.73 degrees, which would be 80.7 since we are rounding.", "session_id": 16884, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "What about angle C?", "session_id": 16884, "sequence_id": 49, "annotations": []}
{"role": "student", "content": "8.331/sin(66deg) = 5mm/sin(C)", "session_id": 16884, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "Great! And that gives us?", "session_id": 16884, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "33.24", "session_id": 16884, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "Well done!", "session_id": 16884, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "And since we already solved for side a, we finished this problem!", "session_id": 16884, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "Do you have any more problems you'd like to go over?", "session_id": 16884, "sequence_id": 55, "annotations": []}
{"role": "student", "content": "yes", "session_id": 16884, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "Alright! Feel free to add it to the board.", "session_id": 16884, "sequence_id": 57, "annotations": []}
{"role": "student", "content": "it says that they are all wrong", "session_id": 16884, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "That is strange. Did you round them correctly?", "session_id": 16884, "sequence_id": 59, "annotations": []}
{"role": "student", "content": "yes", "session_id": 16884, "sequence_id": 60, "annotations": []}
{"role": "student", "content": "it only gives me one attempt on the practice quiz but it says I can try a similar question", "session_id": 16884, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "Alright, we can do the similar question if you want.", "session_id": 16884, "sequence_id": 62, "annotations": []}
{"role": "student", "content": "ok", "session_id": 16884, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "This one is similar to the last one, we have to solve for side a first to find the other angle measures.", "session_id": 16884, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "What would the equation look like to solve for side a?", "session_id": 16884, "sequence_id": 65, "annotations": []}
{"role": "student", "content": "a = sqrt (7mm^2 + 6mm^2 - 2(7)(6) cos(72deg)", "session_id": 16884, "sequence_id": 66, "annotations": []}
{"role": "student", "content": "7.684", "session_id": 16884, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "Great job! That is correct.", "session_id": 16884, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "How do you think we will find the measure of angle B?", "session_id": 16884, "sequence_id": 69, "annotations": []}
{"role": "student", "content": "7.684/ cos(72deg) = 7mm/cos(B)", "session_id": 16884, "sequence_id": 70, "annotations": []}
{"role": "student", "content": "60.0deg", "session_id": 16884, "sequence_id": 71, "annotations": []}
{"role": "student", "content": "7.684/ cos(72deg) = 6mm/cos(C)", "session_id": 16884, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "Correct! Well done, and now you can solve for angle c.", "session_id": 16884, "sequence_id": 73, "annotations": []}
{"role": "student", "content": "48deg", "session_id": 16884, "sequence_id": 74, "annotations": []}
{"role": "volunteer", "content": "Great job! This should be right, let me know if it says it's correct or not.", "session_id": 16884, "sequence_id": 75, "annotations": []}
{"role": "student", "content": "its correct", "session_id": 16884, "sequence_id": 76, "annotations": []}
{"role": "student", "content": "k next question if ur down", "session_id": 16884, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "Alright! I can do one more question and then I have to leave in about 20 minutes.", "session_id": 16884, "sequence_id": 78, "annotations": []}
{"role": "student", "content": "ok", "session_id": 16884, "sequence_id": 79, "annotations": []}
{"role": "student", "content": "its similar to the last two", "session_id": 16884, "sequence_id": 80, "annotations": []}
{"role": "volunteer", "content": "Okay. Which of the three do you think we should solve for first?", "session_id": 16884, "sequence_id": 81, "annotations": []}
{"role": "student", "content": "a", "session_id": 16884, "sequence_id": 82, "annotations": []}
{"role": "volunteer", "content": "Actually, we can't solve for side a first because the measure of the angle opposite to it is not given.", "session_id": 16884, "sequence_id": 83, "annotations": []}
{"role": "student", "content": "oh", "session_id": 16884, "sequence_id": 84, "annotations": []}
{"role": "volunteer", "content": "This also means we can't solve for angle A since it has the same problem, the measure of the opposite side is not given. The only thing  we can solve for now is angle C.", "session_id": 16884, "sequence_id": 85, "annotations": []}
{"role": "student", "content": "ok", "session_id": 16884, "sequence_id": 86, "annotations": []}
{"role": "student", "content": "how will we do that", "session_id": 16884, "sequence_id": 87, "annotations": []}
{"role": "volunteer", "content": "The measure of the side opposite to angle C is given. Another pair of an opposite side and opposite angle is also given. This means we can use the law of sines.", "session_id": 16884, "sequence_id": 88, "annotations": []}
{"role": "student", "content": "ok", "session_id": 16884, "sequence_id": 89, "annotations": []}
{"role": "student", "content": "18/sin(44deg) = 13/sin(C)?", "session_id": 16884, "sequence_id": 90, "annotations": []}
{"role": "volunteer", "content": "Yes, that's right!", "session_id": 16884, "sequence_id": 91, "annotations": []}
{"role": "student", "content": "ok", "session_id": 16884, "sequence_id": 92, "annotations": []}
{"role": "student", "content": "30.11 deg", "session_id": 16884, "sequence_id": 93, "annotations": []}
{"role": "student", "content": "is that right", "session_id": 16884, "sequence_id": 94, "annotations": []}
{"role": "volunteer", "content": "Yes, that's correct! We can round this to 30.1 degrees.", "session_id": 16884, "sequence_id": 95, "annotations": []}
{"role": "volunteer", "content": "Now, what do you think we can solve for next? Angle A or side a?", "session_id": 16884, "sequence_id": 96, "annotations": []}
{"role": "student", "content": "a?", "session_id": 16884, "sequence_id": 97, "annotations": []}
{"role": "volunteer", "content": "Not quite. If we have the measures of two other angles, we can find the third one (A). Do you know how we can do this?", "session_id": 16884, "sequence_id": 98, "annotations": []}
{"role": "student", "content": "no", "session_id": 16884, "sequence_id": 99, "annotations": []}
{"role": "volunteer", "content": "That's okay! The Angle Sum theorem states that all angles of a triangle add up 180 degrees. Using this theorem, how can we solve for angle A?", "session_id": 16884, "sequence_id": 100, "annotations": []}
{"role": "student", "content": "A+B+c= 180deg    Which means  A + 44deg + 30.1deg = 180 deg", "session_id": 16884, "sequence_id": 101, "annotations": []}
{"role": "volunteer", "content": "That's right! So what would the measure of angle A be?", "session_id": 16884, "sequence_id": 102, "annotations": []}
{"role": "student", "content": "105.9", "session_id": 16884, "sequence_id": 103, "annotations": []}
{"role": "student", "content": "but that sounds like too big of an angle", "session_id": 16884, "sequence_id": 104, "annotations": []}
{"role": "volunteer", "content": "105.9 degrees is correct!", "session_id": 16884, "sequence_id": 105, "annotations": []}
{"role": "student", "content": "ok", "session_id": 16884, "sequence_id": 106, "annotations": []}
{"role": "volunteer", "content": "Now all that's left is to solve for side a!", "session_id": 16884, "sequence_id": 107, "annotations": []}
{"role": "volunteer", "content": "How do you want to approach this? There are multiple different ways.", "session_id": 16884, "sequence_id": 108, "annotations": []}
{"role": "student", "content": "any is fine", "session_id": 16884, "sequence_id": 109, "annotations": []}
{"role": "volunteer", "content": "Alright! What do you think one of the ways we can do this is?", "session_id": 16884, "sequence_id": 110, "annotations": []}
{"role": "student", "content": "idk", "session_id": 16884, "sequence_id": 111, "annotations": []}
{"role": "volunteer", "content": "One way we can solve it is by using the law of sines.", "session_id": 16884, "sequence_id": 112, "annotations": []}
{"role": "volunteer", "content": "Do you know what the equation would be to set it up?", "session_id": 16884, "sequence_id": 113, "annotations": []}
{"role": "student", "content": "a / sin(105.9) = 18/sin(44deg)", "session_id": 16884, "sequence_id": 114, "annotations": []}
{"role": "volunteer", "content": "Right! And what does this get us?", "session_id": 16884, "sequence_id": 115, "annotations": []}
{"role": "student", "content": "24.918", "session_id": 16884, "sequence_id": 116, "annotations": []}
{"role": "student", "content": "is that correct", "session_id": 16884, "sequence_id": 117, "annotations": []}
{"role": "volunteer", "content": "Yes, that looks correct!", "session_id": 16884, "sequence_id": 118, "annotations": []}
{"role": "student", "content": "ok", "session_id": 16884, "sequence_id": 119, "annotations": []}
{"role": "student", "content": "awesome!!! thank u for ur help today", "session_id": 16884, "sequence_id": 120, "annotations": []}
{"role": "volunteer", "content": "No problem! I'm going to end the session now, have a nice day!", "session_id": 16884, "sequence_id": 121, "annotations": []}
{"role": "volunteer", "content": "Hello How are you?", "session_id": 16936, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "hi I'm good and u?", "session_id": 16936, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "I am fine ynx. How can I help?", "session_id": 16936, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "may you please help me with my homework", "session_id": 16936, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "OK Shall we start with what is on the board?", "session_id": 16936, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "the question", "session_id": 16936, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "Yes OK", "session_id": 16936, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "Can u tell me what \"domain\" menas for a function?", "session_id": 16936, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "x values", "session_id": 16936, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "Yes all possible x values", "session_id": 16936, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "so what go you think the domain is for this function?", "session_id": 16936, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "do*", "session_id": 16936, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "-4 to 4", "session_id": 16936, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "Yes very good", "session_id": 16936, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "Now, in ur course, to u use interval notation?", "session_id": 16936, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "do*", "session_id": 16936, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "ok", "session_id": 16936, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "Can u write the domain in interval notation?", "session_id": 16936, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "OK I see", "session_id": 16936, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "I was looking at my keybd", "session_id": 16936, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "That is fine", "session_id": 16936, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "Now how about the range?", "session_id": 16936, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "-4 to infinity", "session_id": 16936, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "I disagree", "session_id": 16936, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "oh", "session_id": 16936, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "what is the defintion of range?", "session_id": 16936, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "y vaules", "session_id": 16936, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "Yes", "session_id": 16936, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "now what the the allowed vlaues on this grpah (f0r y)?", "session_id": 16936, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "idk", "session_id": 16936, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "OK well what is the smallest y value that is on the red curve?", "session_id": 16936, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "-4?", "session_id": 16936, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "4", "session_id": 16936, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "I disagee", "session_id": 16936, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "I think 4 is the *largest  y vlaue", "session_id": 16936, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "now what is the smallest", "session_id": 16936, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "- infinity", "session_id": 16936, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "Remember y is the *vertical* axis", "session_id": 16936, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "0", "session_id": 16936, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "Yes 0 is the snmallest", "session_id": 16936, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "and 4 is the l;rgest So can u write the rnage in interval notation?", "session_id": 16936, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "good !!!", "session_id": 16936, "sequence_id": 41, "annotations": []}
{"role": "student", "content": ":)", "session_id": 16936, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "what Abt the f(0)", "session_id": 16936, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 16936, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "I forgot that !  LOL", "session_id": 16936, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "what vlaue of x do we sue to get f(x))?", "session_id": 16936, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "lollll", "session_id": 16936, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "use*", "session_id": 16936, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "4", "session_id": 16936, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "I disagree", "session_id": 16936, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "we have f(x) as a function", "session_id": 16936, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "so for f(0)) what is x?", "session_id": 16936, "sequence_id": 52, "annotations": []}
{"role": "student", "content": "idk", "session_id": 16936, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "OK well y = f(x) and for f(0)) we replace x with 0", "session_id": 16936, "sequence_id": 54, "annotations": []}
{"role": "student", "content": "so 0", "session_id": 16936, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "yes so x = 0", "session_id": 16936, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "and now what is the y vlaue (from the grpah) when x = 0?", "session_id": 16936, "sequence_id": 57, "annotations": []}
{"role": "student", "content": "0", "session_id": 16936, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "I disagree", "session_id": 16936, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "pls look carefully at the grpah", "session_id": 16936, "sequence_id": 60, "annotations": []}
{"role": "student", "content": "idk sorry", "session_id": 16936, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "OK well start at x - 0 (at the origina) at then move *up* unitl you hit the red graph I mean straight up along the y-axis", "session_id": 16936, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "y-axis", "session_id": 16936, "sequence_id": 63, "annotations": []}
{"role": "student", "content": "I hit 4", "session_id": 16936, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "Yes good! so f(0))  = 4", "session_id": 16936, "sequence_id": 65, "annotations": []}
{"role": "student", "content": "ok next one", "session_id": 16936, "sequence_id": 66, "annotations": []}
{"role": "student", "content": "thank you !", "session_id": 16936, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "OK]", "session_id": 16936, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "I will copy to 2nd screen Pls wait", "session_id": 16936, "sequence_id": 69, "annotations": []}
{"role": "student", "content": "ok", "session_id": 16936, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "OK what do you think about this one?", "session_id": 16936, "sequence_id": 71, "annotations": []}
{"role": "student", "content": "I don't even know", "session_id": 16936, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "OK First I have a comment", "session_id": 16936, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "I think we need to assume that the blut one continues up the right forever OK?", "session_id": 16936, "sequence_id": 74, "annotations": []}
{"role": "volunteer", "content": "blue*", "session_id": 16936, "sequence_id": 75, "annotations": []}
{"role": "student", "content": "yea", "session_id": 16936, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "and the red one up to the lleft forever OK?", "session_id": 16936, "sequence_id": 77, "annotations": []}
{"role": "student", "content": "ok", "session_id": 16936, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "OK So what does that tell us about the possible values of x?", "session_id": 16936, "sequence_id": 79, "annotations": []}
{"role": "student", "content": "infinity", "session_id": 16936, "sequence_id": 80, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 16936, "sequence_id": 81, "annotations": []}
{"role": "volunteer", "content": "how about some signs ( -  and + )", "session_id": 16936, "sequence_id": 82, "annotations": []}
{"role": "volunteer", "content": "If x strtas all the way at the left what will be the sing there?", "session_id": 16936, "sequence_id": 83, "annotations": []}
{"role": "student", "content": "positive", "session_id": 16936, "sequence_id": 84, "annotations": []}
{"role": "volunteer", "content": "I think left is negative", "session_id": 16936, "sequence_id": 85, "annotations": []}
{"role": "student", "content": "oh sorry no", "session_id": 16936, "sequence_id": 86, "annotations": []}
{"role": "student", "content": "yea", "session_id": 16936, "sequence_id": 87, "annotations": []}
{"role": "volunteer", "content": "so -inf on the left", "session_id": 16936, "sequence_id": 88, "annotations": []}
{"role": "volunteer", "content": "how about on the right?", "session_id": 16936, "sequence_id": 89, "annotations": []}
{"role": "student", "content": "positive is on the right", "session_id": 16936, "sequence_id": 90, "annotations": []}
{"role": "volunteer", "content": "Good", "session_id": 16936, "sequence_id": 91, "annotations": []}
{"role": "volunteer", "content": "Now can u write the domain in interval notation?", "session_id": 16936, "sequence_id": 92, "annotations": []}
{"role": "volunteer", "content": "excellent", "session_id": 16936, "sequence_id": 93, "annotations": []}
{"role": "volunteer", "content": "how about the range?", "session_id": 16936, "sequence_id": 94, "annotations": []}
{"role": "student", "content": "4 to infinity", "session_id": 16936, "sequence_id": 95, "annotations": []}
{"role": "volunteer", "content": "my eyes are bad but I htink -3", "session_id": 16936, "sequence_id": 96, "annotations": []}
{"role": "volunteer", "content": "pls look again", "session_id": 16936, "sequence_id": 97, "annotations": []}
{"role": "student", "content": "oh ok sorry Abt that", "session_id": 16936, "sequence_id": 98, "annotations": []}
{"role": "volunteer", "content": "No problem", "session_id": 16936, "sequence_id": 99, "annotations": []}
{"role": "volunteer", "content": "pls use interval notation now", "session_id": 16936, "sequence_id": 100, "annotations": []}
{"role": "volunteer", "content": "excellent", "session_id": 16936, "sequence_id": 101, "annotations": []}
{"role": "volunteer", "content": "BTW are u using a stylus to write on the board?", "session_id": 16936, "sequence_id": 102, "annotations": []}
{"role": "student", "content": "yes", "session_id": 16936, "sequence_id": 103, "annotations": []}
{"role": "volunteer", "content": "yes it looks quite nice is it an Apple Pencil?", "session_id": 16936, "sequence_id": 104, "annotations": []}
{"role": "student", "content": "no its with a Chromebook that the school provided", "session_id": 16936, "sequence_id": 105, "annotations": []}
{"role": "volunteer", "content": "Oh OK", "session_id": 16936, "sequence_id": 106, "annotations": []}
{"role": "volunteer", "content": "it works nicely", "session_id": 16936, "sequence_id": 107, "annotations": []}
{"role": "volunteer", "content": "Now this time I will not forget f(0)", "session_id": 16936, "sequence_id": 108, "annotations": []}
{"role": "student", "content": "yes it's really good", "session_id": 16936, "sequence_id": 109, "annotations": []}
{"role": "volunteer", "content": "What do u think about f(0))?", "session_id": 16936, "sequence_id": 110, "annotations": []}
{"role": "student", "content": "f(0)=-3", "session_id": 16936, "sequence_id": 111, "annotations": []}
{"role": "volunteer", "content": "Yes excellent", "session_id": 16936, "sequence_id": 112, "annotations": []}
{"role": "volunteer", "content": "I added confetti", "session_id": 16936, "sequence_id": 113, "annotations": []}
{"role": "student", "content": "yess I loveeee", "session_id": 16936, "sequence_id": 114, "annotations": []}
{"role": "volunteer", "content": "OK can u tell me whay f(0)) is NOT +2 ?", "session_id": 16936, "sequence_id": 115, "annotations": []}
{"role": "student", "content": "bc its an open circle", "session_id": 16936, "sequence_id": 116, "annotations": []}
{"role": "volunteer", "content": "Yes very good", "session_id": 16936, "sequence_id": 117, "annotations": []}
{"role": "student", "content": "I have 3 more", "session_id": 16936, "sequence_id": 118, "annotations": []}
{"role": "volunteer", "content": "OK If I run out of time I will tell you but let's keep going", "session_id": 16936, "sequence_id": 119, "annotations": []}
{"role": "student", "content": "ok", "session_id": 16936, "sequence_id": 120, "annotations": []}
{"role": "volunteer", "content": "OK I will copy pls wait", "session_id": 16936, "sequence_id": 121, "annotations": []}
{"role": "student", "content": "es", "session_id": 16936, "sequence_id": 122, "annotations": []}
{"role": "student", "content": "yes", "session_id": 16936, "sequence_id": 123, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 16936, "sequence_id": 124, "annotations": []}
{"role": "volunteer", "content": "Now I am not sure what they mean by \"algebraically\" Do you know from your class?", "session_id": 16936, "sequence_id": 125, "annotations": []}
{"role": "student", "content": "no", "session_id": 16936, "sequence_id": 126, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 16936, "sequence_id": 127, "annotations": []}
{"role": "student", "content": "like solve it algebraically", "session_id": 16936, "sequence_id": 128, "annotations": []}
{"role": "volunteer", "content": "maybe they mean not graphically", "session_id": 16936, "sequence_id": 129, "annotations": []}
{"role": "volunteer", "content": "Yes maybe but there really is not solution", "session_id": 16936, "sequence_id": 130, "annotations": []}
{"role": "volunteer", "content": "for the first one maybe they mean break it into two cases one wehre x + 3  >= 0 and one where x + 3 < 0", "session_id": 16936, "sequence_id": 131, "annotations": []}
{"role": "volunteer", "content": "See what I mean?", "session_id": 16936, "sequence_id": 132, "annotations": []}
{"role": "student", "content": "yea can u do it for me", "session_id": 16936, "sequence_id": 133, "annotations": []}
{"role": "volunteer", "content": "OK I will type on board", "session_id": 16936, "sequence_id": 134, "annotations": []}
{"role": "student", "content": "ok", "session_id": 16936, "sequence_id": 135, "annotations": []}
{"role": "volunteer", "content": "I want to stree taht  an ot sure htis what they want OK?", "session_id": 16936, "sequence_id": 136, "annotations": []}
{"role": "student", "content": "ok", "session_id": 16936, "sequence_id": 137, "annotations": []}
{"role": "volunteer", "content": "can u see what I type?", "session_id": 16936, "sequence_id": 138, "annotations": []}
{"role": "student", "content": "yess", "session_id": 16936, "sequence_id": 139, "annotations": []}
{"role": "volunteer", "content": "do u understnad why that comes from the abs value?", "session_id": 16936, "sequence_id": 140, "annotations": []}
{"role": "student", "content": "kind", "session_id": 16936, "sequence_id": 141, "annotations": []}
{"role": "student", "content": "kinda", "session_id": 16936, "sequence_id": 142, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 16936, "sequence_id": 143, "annotations": []}
{"role": "volunteer", "content": "you see if x + 3 is pos we do not need the abs vlaue", "session_id": 16936, "sequence_id": 144, "annotations": []}
{"role": "volunteer", "content": "But if it is neg, we need to change its sign", "session_id": 16936, "sequence_id": 145, "annotations": []}
{"role": "student", "content": "got it", "session_id": 16936, "sequence_id": 146, "annotations": []}
{"role": "volunteer", "content": "And this one confuses me. I think the domain is (-inf, inf) since we can plug in any x", "session_id": 16936, "sequence_id": 147, "annotations": []}
{"role": "volunteer", "content": "sse waht I mean?", "session_id": 16936, "sequence_id": 148, "annotations": []}
{"role": "student", "content": "sorry I have too go", "session_id": 16936, "sequence_id": 149, "annotations": []}
{"role": "volunteer", "content": "OK One hint in 24 you cannot take sq root of neg nbr OK?", "session_id": 16936, "sequence_id": 150, "annotations": []}
{"role": "student", "content": "thank you so much for today", "session_id": 16936, "sequence_id": 151, "annotations": []}
{"role": "volunteer", "content": "You are welcome u did very well", "session_id": 16936, "sequence_id": 152, "annotations": []}
{"role": "student", "content": "oh ok thank you", "session_id": 16936, "sequence_id": 153, "annotations": []}
{"role": "volunteer", "content": "BYE BYE", "session_id": 16936, "sequence_id": 154, "annotations": []}
{"role": "student", "content": "Maria", "session_id": 16936, "sequence_id": 155, "annotations": [{"pii_type": "PERSON", "surrogate": "Maria", "start": 0, "end": 5}]}
{"role": "volunteer", "content": "Hi Alice. I see the problem on the board do you need help with it?", "session_id": 16938, "sequence_id": 0, "annotations": [{"pii_type": "PERSON", "surrogate": "Alice", "start": 3, "end": 8}]}
{"role": "student", "content": "Yes", "session_id": 16938, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "ill try to attempt it", "session_id": 16938, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "ok, if ur stuck or have an answer jus type in the chat", "session_id": 16938, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "Got it", "session_id": 16938, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "Is this how it should be labeled?", "session_id": 16938, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "almost, remember that 95% wil be 2 standard deviations away from the mean both ways", "session_id": 16938, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "so the 2 and 4 should be two tick marks away from 3", "session_id": 16938, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "good, so what would the standard deviation be?", "session_id": 16938, "sequence_id": 8, "annotations": []}
{"role": "student", "content": ".5?", "session_id": 16938, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "yes! good job", "session_id": 16938, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "Great", "session_id": 16938, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "Percent?", "session_id": 16938, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "no, just 0.5", "session_id": 16938, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "standard deviation doesn't have units", "session_id": 16938, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "Ohh got it yeah i remember now", "session_id": 16938, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "Give me a minute im gonna write this out in my homework real quick", "session_id": 16938, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 16938, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "Thank you", "session_id": 16938, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "are you going to try to solve this or do you need help?", "session_id": 16938, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "I need some help", "session_id": 16938, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "i dont get what it means by normal", "session_id": 16938, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "normal distribution is like a bell curve, this ditrb=itbution looks like a normal curve", "session_id": 16938, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "Oh cuz its like this", "session_id": 16938, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "yes exactly", "session_id": 16938, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "Got it", "session_id": 16938, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "How do i explain that do i just say the histogram displays an approximately jormal distribution because it is bell shaped?", "session_id": 16938, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "yes, and the standard deviation is equally spaced", "session_id": 16938, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "and approximately 68% of the datav falls in the first standard deviation", "session_id": 16938, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "How can i tell that 68 percent falls in the first std!", "session_id": 16938, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "?*", "session_id": 16938, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "its just an approximation", "session_id": 16938, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "just by eyeballing you can tell", "session_id": 16938, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "Between here and here?", "session_id": 16938, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "yeah", "session_id": 16938, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "Alright", "session_id": 16938, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "Letd move on", "session_id": 16938, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "alright just put it up", "session_id": 16938, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "It looks right skewed", "session_id": 16938, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "For 12", "session_id": 16938, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "yes good", "session_id": 16938, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "its not normal because it is not bell curve shaped", "session_id": 16938, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "and the standard deviation is symmetrical on both sides of the mean", "session_id": 16938, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "Wait how can i see if the std is symmetrical on both sides?", "session_id": 16938, "sequence_id": 43, "annotations": []}
{"role": "student", "content": "or how can i identify that based on this histogram?", "session_id": 16938, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "the mean is approx where i drew the line", "session_id": 16938, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "do you see how more data is on the left than the right", "session_id": 16938, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 16938, "sequence_id": 47, "annotations": []}
{"role": "student", "content": "so its not symmetrical?", "session_id": 16938, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "exactly", "session_id": 16938, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "do u need help on 13 as well?", "session_id": 16938, "sequence_id": 50, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 16938, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "so for 12 id say something like", "session_id": 16938, "sequence_id": 52, "annotations": []}
{"role": "student", "content": "The distribution of the percentage of foreign born residents in the 50 states is not approximately normal because it isnt bell shaped and shows a right skew and a cluster of data between 0 and 10 percent foreign born residents", "session_id": 16938, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "yes thats perfect", "session_id": 16938, "sequence_id": 54, "annotations": []}
{"role": "student", "content": "Great", "session_id": 16938, "sequence_id": 55, "annotations": []}
{"role": "student", "content": "How can I figure out if its normal or not for 13?", "session_id": 16938, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "use the SD to see if the min and max are 3 sds out of the mean", "session_id": 16938, "sequence_id": 57, "annotations": []}
{"role": "student", "content": "If its 3 sds out of the mean does that mean it isnt bell shaped?", "session_id": 16938, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "it means it is", "session_id": 16938, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "iusually the min and max are 3 sds out", "session_id": 16938, "sequence_id": 60, "annotations": []}
{"role": "student", "content": "So do i gotta add and subtract 8049 3 times by 10614\u00bf?", "session_id": 16938, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 16938, "sequence_id": 62, "annotations": []}
{"role": "student", "content": "Ok", "session_id": 16938, "sequence_id": 63, "annotations": []}
{"role": "student", "content": "I got 34761 for adding", "session_id": 16938, "sequence_id": 64, "annotations": []}
{"role": "student", "content": "and -13533", "session_id": 16938, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "so i dont think its bell vurved", "session_id": 16938, "sequence_id": 66, "annotations": []}
{"role": "student", "content": "So if it\u2019s bell curved it stays within min and max?", "session_id": 16938, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 16938, "sequence_id": 68, "annotations": []}
{"role": "student", "content": "But if it exceeds the minimum and max its not a normal distribution", "session_id": 16938, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "exactly", "session_id": 16938, "sequence_id": 70, "annotations": []}
{"role": "student", "content": "Got it", "session_id": 16938, "sequence_id": 71, "annotations": []}
{"role": "student", "content": "Noted", "session_id": 16938, "sequence_id": 72, "annotations": []}
{"role": "student", "content": "Ill write it out by hand at the bottom of 13 and you tell me if it sounds good", "session_id": 16938, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 16938, "sequence_id": 74, "annotations": []}
{"role": "student", "content": "How\u2019s that", "session_id": 16938, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "perfect", "session_id": 16938, "sequence_id": 76, "annotations": []}
{"role": "student", "content": "Great", "session_id": 16938, "sequence_id": 77, "annotations": []}
{"role": "student", "content": "Is the answer e do you think", "session_id": 16938, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "not quite, a histogram is the best", "session_id": 16938, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "a stemplot and a dotplot can't give a bell curve", "session_id": 16938, "sequence_id": 80, "annotations": []}
{"role": "student", "content": "Ill pick stemplot", "session_id": 16938, "sequence_id": 81, "annotations": []}
{"role": "student", "content": "Cuz in a dotplot at least you see a bit clearer", "session_id": 16938, "sequence_id": 82, "annotations": []}
{"role": "volunteer", "content": "no, histogram is the best option, al the other choices are hard\\", "session_id": 16938, "sequence_id": 83, "annotations": []}
{"role": "volunteer", "content": "to see the distribution", "session_id": 16938, "sequence_id": 84, "annotations": []}
{"role": "student", "content": "Yeah but since it said least helpful i had to pick 1", "session_id": 16938, "sequence_id": 85, "annotations": []}
{"role": "student", "content": "Shall i move on", "session_id": 16938, "sequence_id": 86, "annotations": []}
{"role": "volunteer", "content": "ohh sorry it would then be a stemplot you're right", "session_id": 16938, "sequence_id": 87, "annotations": []}
{"role": "student", "content": "Yesh", "session_id": 16938, "sequence_id": 88, "annotations": []}
{"role": "student", "content": "yes", "session_id": 16938, "sequence_id": 89, "annotations": []}
{"role": "student", "content": "Youre good", "session_id": 16938, "sequence_id": 90, "annotations": []}
{"role": "volunteer", "content": "for this one draw the bell curve and label all the marks", "session_id": 16938, "sequence_id": 91, "annotations": []}
{"role": "student", "content": "Got it", "session_id": 16938, "sequence_id": 92, "annotations": []}
{"role": "volunteer", "content": "nice, so at what number does the weight go under 9?", "session_id": 16938, "sequence_id": 93, "annotations": []}
{"role": "volunteer", "content": "or what tick", "session_id": 16938, "sequence_id": 94, "annotations": []}
{"role": "student", "content": "8.97?", "session_id": 16938, "sequence_id": 95, "annotations": []}
{"role": "volunteer", "content": "i would use 9.02", "session_id": 16938, "sequence_id": 96, "annotations": []}
{"role": "volunteer", "content": "since your looking for the first number thats greater than 9.02", "session_id": 16938, "sequence_id": 97, "annotations": []}
{"role": "volunteer", "content": "now you now everything between 9.02 and 9.22 os 95%, so what is everything outside 9.02 and 9.22 equal to in percent form?", "session_id": 16938, "sequence_id": 98, "annotations": []}
{"role": "student", "content": "Is it 5 percrnt?", "session_id": 16938, "sequence_id": 99, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 16938, "sequence_id": 100, "annotations": []}
{"role": "volunteer", "content": "but thats for both sides, so you must divide by 2 to get just one side", "session_id": 16938, "sequence_id": 101, "annotations": []}
{"role": "student", "content": "2.5 percent", "session_id": 16938, "sequence_id": 102, "annotations": []}
{"role": "volunteer", "content": "exactly", "session_id": 16938, "sequence_id": 103, "annotations": []}
{"role": "student", "content": "Got it", "session_id": 16938, "sequence_id": 104, "annotations": []}
{"role": "volunteer", "content": "so approx 2.5% is below 9", "session_id": 16938, "sequence_id": 105, "annotations": []}
{"role": "student", "content": "And this is likely to pose a problem for the company because people arent getting the right amount of chips in their bag which will cause their company to lose money?", "session_id": 16938, "sequence_id": 106, "annotations": []}
{"role": "student", "content": "And therefore they wont be able to produce chips?", "session_id": 16938, "sequence_id": 107, "annotations": []}
{"role": "volunteer", "content": "well only 2.5%, so I don't think it will be a big problem", "session_id": 16938, "sequence_id": 108, "annotations": []}
{"role": "student", "content": "Ohhh ok", "session_id": 16938, "sequence_id": 109, "annotations": []}
{"role": "volunteer", "content": "also no one is going to realize the difference between 9 and 8.97", "session_id": 16938, "sequence_id": 110, "annotations": []}
{"role": "student", "content": "so the opposite of what i said", "session_id": 16938, "sequence_id": 111, "annotations": []}
{"role": "student", "content": "got it", "session_id": 16938, "sequence_id": 112, "annotations": []}
{"role": "student", "content": "but if it was like 75 percent", "session_id": 16938, "sequence_id": 113, "annotations": []}
{"role": "student", "content": "then that would mean what i said", "session_id": 16938, "sequence_id": 114, "annotations": []}
{"role": "volunteer", "content": "then yes it would be a problem", "session_id": 16938, "sequence_id": 115, "annotations": []}
{"role": "student", "content": "Ok", "session_id": 16938, "sequence_id": 116, "annotations": []}
{"role": "volunteer", "content": "its very subjective so it depends on wha tyou think", "session_id": 16938, "sequence_id": 117, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 16938, "sequence_id": 118, "annotations": []}
{"role": "student", "content": "I have about 5 more and im done", "session_id": 16938, "sequence_id": 119, "annotations": []}
{"role": "student", "content": "Is that fine?", "session_id": 16938, "sequence_id": 120, "annotations": []}
{"role": "volunteer", "content": "i can probably stay for 1 or 2, but I have to go after that", "session_id": 16938, "sequence_id": 121, "annotations": []}
{"role": "student", "content": "Alright thanks", "session_id": 16938, "sequence_id": 122, "annotations": []}
{"role": "volunteer", "content": "you can always end this session and join a new one with a new instructor", "session_id": 16938, "sequence_id": 123, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 16938, "sequence_id": 124, "annotations": []}
{"role": "student", "content": "Actually i have to go now", "session_id": 16938, "sequence_id": 125, "annotations": []}
{"role": "student", "content": "is that ok", "session_id": 16938, "sequence_id": 126, "annotations": []}
{"role": "student", "content": "thanks for your help", "session_id": 16938, "sequence_id": 127, "annotations": []}
{"role": "student", "content": "Hello", "session_id": 17015, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "Hello :)", "session_id": 17015, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "How are you?", "session_id": 17015, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "I\u2019m good, are you in need of assistance?", "session_id": 17015, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "I see your picture, are you in need of help with both problems?", "session_id": 17015, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "Would you like to start with 1?", "session_id": 17015, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "yes", "session_id": 17015, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "Ok :)", "session_id": 17015, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "So, do you know what domain and range are?", "session_id": 17015, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "domain is range of x values", "session_id": 17015, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "range is range of y values", "session_id": 17015, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "Good :)", "session_id": 17015, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "Wow, very good. All of that looks absolutely correct", "session_id": 17015, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "Thank you", "session_id": 17015, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "Do you happen to have a mic or nah", "session_id": 17015, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "I am now allowed mic access I do apologize", "session_id": 17015, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "Not*", "session_id": 17015, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "oh", "session_id": 17015, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "np", "session_id": 17015, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "I believe it is this websites policy", "session_id": 17015, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "so 2. is a quadratic right", "session_id": 17015, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "can't you just click the microphone button?", "session_id": 17015, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "Yes 2 would be quadratic to the look of it :)", "session_id": 17015, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "I can however it says that it disallows me mic access", "session_id": 17015, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "oh", "session_id": 17015, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "So would there be any limiting factors on the domain of this function?", "session_id": 17015, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "um", "session_id": 17015, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "yes", "session_id": 17015, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "wait", "session_id": 17015, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "yes", "session_id": 17015, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "Yes?", "session_id": 17015, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "Where would that be if any?", "session_id": 17015, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "oh", "session_id": 17015, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "domain no", "session_id": 17015, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "range yes", "session_id": 17015, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "Good :)", "session_id": 17015, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "is this right?", "session_id": 17015, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "Very good :) that looks absolutely correct", "session_id": 17015, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "I see no flaws in any of your work, you seem to be very good at this", "session_id": 17015, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "thank you", "session_id": 17015, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "Are you looking for any more help with the subject?", "session_id": 17015, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "yes", "session_id": 17015, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "Ok, would you like a practice problem?", "session_id": 17015, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "Oh I see there is more problems", "session_id": 17015, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "So in the square root, what would the limiting factor be?", "session_id": 17015, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "For question 3", "session_id": 17015, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "ok", "session_id": 17015, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "Very good :)", "session_id": 17015, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "Do you know what numbers would be the easiest to plug in?", "session_id": 17015, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "Though you could plug in anything", "session_id": 17015, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "That fits the domain", "session_id": 17015, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "Very good :)", "session_id": 17015, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "Those are the numbers I would have picked", "session_id": 17015, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "And now we just look at question number 4", "session_id": 17015, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "What would the limiting factor be there?", "session_id": 17015, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "Very good :)", "session_id": 17015, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "At X-2 can you tell me what type of discontinuity it is?", "session_id": 17015, "sequence_id": 56, "annotations": []}
{"role": "student", "content": "hole", "session_id": 17015, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "Close, because it\u2019s in a denominator and it doesn\u2019t cancel out at the top, it would actually be a vertical asymptote", "session_id": 17015, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "Meaning as it gets closer to -2, it would go infinitely up as it approaches from the left, and then goes towards the negative when it comes from the right", "session_id": 17015, "sequence_id": 59, "annotations": []}
{"role": "student", "content": "i feel like", "session_id": 17015, "sequence_id": 60, "annotations": []}
{"role": "student", "content": "my drawing is inaccurate", "session_id": 17015, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "Because as it grows closer to -2 like -1.999 then it would be 1 over a very small number, growing towards infinity", "session_id": 17015, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "Yes, because it has a certical asymptote and not a hole, would you like me to demonstrate?", "session_id": 17015, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "Vertical Asymptote*", "session_id": 17015, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "Yes good :)", "session_id": 17015, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "Oh wait a second", "session_id": 17015, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "No yes you\u2019re right my bad", "session_id": 17015, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "Very good :)", "session_id": 17015, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "I believe you have this concept down very well!", "session_id": 17015, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "Is there anything else you are looking for help with?", "session_id": 17015, "sequence_id": 70, "annotations": []}
{"role": "student", "content": "yes", "session_id": 17015, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "Anything specific?", "session_id": 17015, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "Ah I see", "session_id": 17015, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "So would there be any restrictions on this problem?", "session_id": 17015, "sequence_id": 74, "annotations": []}
{"role": "student", "content": "hmm", "session_id": 17015, "sequence_id": 75, "annotations": []}
{"role": "student", "content": "nah", "session_id": 17015, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "Good :)", "session_id": 17015, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "That looks very good to me :)", "session_id": 17015, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "Would number 4 have any limiting factors?", "session_id": 17015, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "Sorry, 6", "session_id": 17015, "sequence_id": 80, "annotations": []}
{"role": "student", "content": "um", "session_id": 17015, "sequence_id": 81, "annotations": []}
{"role": "student", "content": "i dont think so", "session_id": 17015, "sequence_id": 82, "annotations": []}
{"role": "volunteer", "content": "Good :)", "session_id": 17015, "sequence_id": 83, "annotations": []}
{"role": "volunteer", "content": "Nothing in the denominators, no radicals, etc", "session_id": 17015, "sequence_id": 84, "annotations": []}
{"role": "student", "content": "is this like lineary", "session_id": 17015, "sequence_id": 85, "annotations": []}
{"role": "student", "content": "wait is this justl iner", "session_id": 17015, "sequence_id": 86, "annotations": []}
{"role": "student", "content": "lol", "session_id": 17015, "sequence_id": 87, "annotations": []}
{"role": "volunteer", "content": "Linear? Yes", "session_id": 17015, "sequence_id": 88, "annotations": []}
{"role": "volunteer", "content": "Because no quadratics, nothing else etc :)", "session_id": 17015, "sequence_id": 89, "annotations": []}
{"role": "volunteer", "content": "Very good :) everything seems right once more !", "session_id": 17015, "sequence_id": 90, "annotations": []}
{"role": "volunteer", "content": "Any more problems ?", "session_id": 17015, "sequence_id": 91, "annotations": []}
{"role": "student", "content": "yes", "session_id": 17015, "sequence_id": 92, "annotations": []}
{"role": "volunteer", "content": "Alright :)", "session_id": 17015, "sequence_id": 93, "annotations": []}
{"role": "volunteer", "content": "You seem to be doing a very good job so far!", "session_id": 17015, "sequence_id": 94, "annotations": []}
{"role": "student", "content": "cause of ur great teaching", "session_id": 17015, "sequence_id": 95, "annotations": []}
{"role": "volunteer", "content": "I don\u2019t believe I\u2019ve been helping at all, but thank you :)", "session_id": 17015, "sequence_id": 96, "annotations": []}
{"role": "volunteer", "content": "It seems you\u2019ve been having it down to a lock, I\u2019ve just been here to be saying good job", "session_id": 17015, "sequence_id": 97, "annotations": []}
{"role": "student", "content": "lol", "session_id": 17015, "sequence_id": 98, "annotations": []}
{"role": "volunteer", "content": "Ok, I see what\u2019s happening, you know what a parent function is?", "session_id": 17015, "sequence_id": 99, "annotations": []}
{"role": "student", "content": "perhaps", "session_id": 17015, "sequence_id": 100, "annotations": []}
{"role": "volunteer", "content": "Very good :)", "session_id": 17015, "sequence_id": 101, "annotations": []}
{"role": "volunteer", "content": "Wait a minute", "session_id": 17015, "sequence_id": 102, "annotations": []}
{"role": "volunteer", "content": "Would it be going to the left ?", "session_id": 17015, "sequence_id": 103, "annotations": []}
{"role": "student", "content": "no", "session_id": 17015, "sequence_id": 104, "annotations": []}
{"role": "volunteer", "content": "The 1st question", "session_id": 17015, "sequence_id": 105, "annotations": []}
{"role": "volunteer", "content": "Good :)", "session_id": 17015, "sequence_id": 106, "annotations": []}
{"role": "student", "content": "wait how do i say it", "session_id": 17015, "sequence_id": 107, "annotations": []}
{"role": "student", "content": "that its -2x like longer", "session_id": 17015, "sequence_id": 108, "annotations": []}
{"role": "volunteer", "content": "Well, the negative and the 2 would be 2 separate ones", "session_id": 17015, "sequence_id": 109, "annotations": []}
{"role": "volunteer", "content": "If it\u2019s negative it would be a reflection over the X axis", "session_id": 17015, "sequence_id": 110, "annotations": []}
{"role": "volunteer", "content": "If it\u2019s multiplied by 2, that would be a vertical stretch by 3", "session_id": 17015, "sequence_id": 111, "annotations": []}
{"role": "volunteer", "content": "Sorry, by 2", "session_id": 17015, "sequence_id": 112, "annotations": []}
{"role": "volunteer", "content": "Also don\u2019t forget the reflection over the X axis for #3", "session_id": 17015, "sequence_id": 113, "annotations": []}
{"role": "student", "content": "wdym", "session_id": 17015, "sequence_id": 114, "annotations": []}
{"role": "volunteer", "content": "I\u2019ll also say that it would just be 6 to the left, because we\u2019re going direction we won\u2019t need to give a sign", "session_id": 17015, "sequence_id": 115, "annotations": []}
{"role": "volunteer", "content": "Because h(x) = -2 the negative in the front means that it\u2019s a reflection over the X axis as a transformation", "session_id": 17015, "sequence_id": 116, "annotations": []}
{"role": "student", "content": "um", "session_id": 17015, "sequence_id": 117, "annotations": []}
{"role": "volunteer", "content": "Good :)", "session_id": 17015, "sequence_id": 118, "annotations": []}
{"role": "student", "content": "is everything right?", "session_id": 17015, "sequence_id": 119, "annotations": []}
{"role": "volunteer", "content": "And everything else looks good :)", "session_id": 17015, "sequence_id": 120, "annotations": []}
{"role": "student", "content": "W", "session_id": 17015, "sequence_id": 121, "annotations": []}
{"role": "volunteer", "content": "Do you need any help with these problems? You\u2019ve been doing well so far :)", "session_id": 17015, "sequence_id": 122, "annotations": []}
{"role": "student", "content": "wait", "session_id": 17015, "sequence_id": 123, "annotations": []}
{"role": "student", "content": "um", "session_id": 17015, "sequence_id": 124, "annotations": []}
{"role": "student", "content": "i dont have to solve all these right", "session_id": 17015, "sequence_id": 125, "annotations": []}
{"role": "volunteer", "content": "Yes?", "session_id": 17015, "sequence_id": 126, "annotations": []}
{"role": "student", "content": "how can i tell just be looking", "session_id": 17015, "sequence_id": 127, "annotations": []}
{"role": "student", "content": "by*", "session_id": 17015, "sequence_id": 128, "annotations": []}
{"role": "volunteer", "content": "Well they are the same as transformations", "session_id": 17015, "sequence_id": 129, "annotations": []}
{"role": "student", "content": "so like 7", "session_id": 17015, "sequence_id": 130, "annotations": []}
{"role": "student", "content": "oh wait", "session_id": 17015, "sequence_id": 131, "annotations": []}
{"role": "volunteer", "content": "Like 7, what would the transformation be?", "session_id": 17015, "sequence_id": 132, "annotations": []}
{"role": "student", "content": "i think i get it", "session_id": 17015, "sequence_id": 133, "annotations": []}
{"role": "student", "content": "so i think its better if i just look at the graphs", "session_id": 17015, "sequence_id": 134, "annotations": []}
{"role": "student", "content": "so for a", "session_id": 17015, "sequence_id": 135, "annotations": []}
{"role": "student", "content": "it's", "session_id": 17015, "sequence_id": 136, "annotations": []}
{"role": "student", "content": "f(x) = (x+1)^2", "session_id": 17015, "sequence_id": 137, "annotations": []}
{"role": "volunteer", "content": "Yes :)", "session_id": 17015, "sequence_id": 138, "annotations": []}
{"role": "student", "content": "so 7. is A", "session_id": 17015, "sequence_id": 139, "annotations": []}
{"role": "volunteer", "content": "Correct :)", "session_id": 17015, "sequence_id": 140, "annotations": []}
{"role": "volunteer", "content": "Because (X+1) is the same as saying one to the left", "session_id": 17015, "sequence_id": 141, "annotations": []}
{"role": "volunteer", "content": "So for D, we are looking for 1 to the right and 1 up", "session_id": 17015, "sequence_id": 142, "annotations": []}
{"role": "volunteer", "content": "Which would that be?", "session_id": 17015, "sequence_id": 143, "annotations": []}
{"role": "student", "content": "B. is f(x) = -(x-1)^2", "session_id": 17015, "sequence_id": 144, "annotations": []}
{"role": "volunteer", "content": "I would look again for B", "session_id": 17015, "sequence_id": 145, "annotations": []}
{"role": "volunteer", "content": "Good :)", "session_id": 17015, "sequence_id": 146, "annotations": []}
{"role": "student", "content": "C. is f(x) = (x-1)^2 - 1", "session_id": 17015, "sequence_id": 147, "annotations": []}
{"role": "volunteer", "content": "You were right just write it in the wrong box", "session_id": 17015, "sequence_id": 148, "annotations": []}
{"role": "student", "content": "D. is f(x) = (x-1)^2 + 1", "session_id": 17015, "sequence_id": 149, "annotations": []}
{"role": "volunteer", "content": "Good :)", "session_id": 17015, "sequence_id": 150, "annotations": []}
{"role": "student", "content": "F is f(x) = (x-1)^2 - 1", "session_id": 17015, "sequence_id": 151, "annotations": []}
{"role": "student", "content": "wait", "session_id": 17015, "sequence_id": 152, "annotations": []}
{"role": "volunteer", "content": "Good :)", "session_id": 17015, "sequence_id": 153, "annotations": []}
{"role": "student", "content": "then", "session_id": 17015, "sequence_id": 154, "annotations": []}
{"role": "student", "content": "c is wrong", "session_id": 17015, "sequence_id": 155, "annotations": []}
{"role": "volunteer", "content": "I would look at C again yes", "session_id": 17015, "sequence_id": 156, "annotations": []}
{"role": "volunteer", "content": "C is left 1 down 1", "session_id": 17015, "sequence_id": 157, "annotations": []}
{"role": "volunteer", "content": "If it\u2019s going left what would it have to be ?", "session_id": 17015, "sequence_id": 158, "annotations": []}
{"role": "student", "content": "ima just restart", "session_id": 17015, "sequence_id": 159, "annotations": []}
{"role": "volunteer", "content": "That\u2019s alright, I believe you got this", "session_id": 17015, "sequence_id": 160, "annotations": []}
{"role": "student", "content": "ok so A. f(x) = (x+1)^2", "session_id": 17015, "sequence_id": 161, "annotations": []}
{"role": "volunteer", "content": "Good :)", "session_id": 17015, "sequence_id": 162, "annotations": []}
{"role": "student", "content": "B. f(x) = -(x-1)^2", "session_id": 17015, "sequence_id": 163, "annotations": []}
{"role": "volunteer", "content": "Good :)", "session_id": 17015, "sequence_id": 164, "annotations": []}
{"role": "student", "content": "C. f(x) = (x+1)^2 - 1", "session_id": 17015, "sequence_id": 165, "annotations": []}
{"role": "volunteer", "content": "Yes doing well so far :)", "session_id": 17015, "sequence_id": 166, "annotations": []}
{"role": "student", "content": "D. f(x) = (x-1)^2 + 1", "session_id": 17015, "sequence_id": 167, "annotations": []}
{"role": "volunteer", "content": "Yes :)", "session_id": 17015, "sequence_id": 168, "annotations": []}
{"role": "student", "content": "E. f(x) = x^2", "session_id": 17015, "sequence_id": 169, "annotations": []}
{"role": "volunteer", "content": "Good", "session_id": 17015, "sequence_id": 170, "annotations": []}
{"role": "student", "content": "F. f(x) = (x-1)^2 - 1", "session_id": 17015, "sequence_id": 171, "annotations": []}
{"role": "volunteer", "content": "Very good :)", "session_id": 17015, "sequence_id": 172, "annotations": []}
{"role": "student", "content": "G. f(x) = -(x+1)^2", "session_id": 17015, "sequence_id": 173, "annotations": []}
{"role": "volunteer", "content": "Now you\u2019re doing it really fast", "session_id": 17015, "sequence_id": 174, "annotations": []}
{"role": "volunteer", "content": "Hokd :)", "session_id": 17015, "sequence_id": 175, "annotations": []}
{"role": "volunteer", "content": "Good * :)", "session_id": 17015, "sequence_id": 176, "annotations": []}
{"role": "student", "content": "H.", "session_id": 17015, "sequence_id": 177, "annotations": []}
{"role": "student", "content": "f(x) = (x+1)^2 + 1", "session_id": 17015, "sequence_id": 178, "annotations": []}
{"role": "volunteer", "content": "Good :)", "session_id": 17015, "sequence_id": 179, "annotations": []}
{"role": "student", "content": "I.", "session_id": 17015, "sequence_id": 180, "annotations": []}
{"role": "student", "content": "f(x) = x^2 + 1", "session_id": 17015, "sequence_id": 181, "annotations": []}
{"role": "volunteer", "content": "Very good, the last one checks out :)", "session_id": 17015, "sequence_id": 182, "annotations": []}
{"role": "volunteer", "content": "You did very well once again, definitely hit the hang of it :)", "session_id": 17015, "sequence_id": 183, "annotations": []}
{"role": "student", "content": "all thanks to ur help", "session_id": 17015, "sequence_id": 184, "annotations": []}
{"role": "volunteer", "content": "No problem :)", "session_id": 17015, "sequence_id": 185, "annotations": []}
{"role": "volunteer", "content": "I\u2019m glad you asked for it", "session_id": 17015, "sequence_id": 186, "annotations": []}
{"role": "volunteer", "content": "Is that all?", "session_id": 17015, "sequence_id": 187, "annotations": []}
{"role": "student", "content": "no", "session_id": 17015, "sequence_id": 188, "annotations": []}
{"role": "student", "content": "lol", "session_id": 17015, "sequence_id": 189, "annotations": []}
{"role": "volunteer", "content": "That\u2019s alright :)", "session_id": 17015, "sequence_id": 190, "annotations": []}
{"role": "student", "content": "hmm", "session_id": 17015, "sequence_id": 191, "annotations": []}
{"role": "student", "content": "is 14. correct", "session_id": 17015, "sequence_id": 192, "annotations": []}
{"role": "volunteer", "content": "Looks good to me :)", "session_id": 17015, "sequence_id": 193, "annotations": []}
{"role": "volunteer", "content": "Oh wiat", "session_id": 17015, "sequence_id": 194, "annotations": []}
{"role": "volunteer", "content": "Maybe -3 because it seems it is going by 2", "session_id": 17015, "sequence_id": 195, "annotations": []}
{"role": "student", "content": "it does?", "session_id": 17015, "sequence_id": 196, "annotations": []}
{"role": "student", "content": "it looks like its going 1", "session_id": 17015, "sequence_id": 197, "annotations": []}
{"role": "volunteer", "content": "Oh yes, more like it looks like it\u2019s under -2", "session_id": 17015, "sequence_id": 198, "annotations": []}
{"role": "volunteer", "content": "You see that 14 is more -3 than -2", "session_id": 17015, "sequence_id": 199, "annotations": []}
{"role": "volunteer", "content": "Everything else looks very good though :)", "session_id": 17015, "sequence_id": 200, "annotations": []}
{"role": "student", "content": "wait whats wrong", "session_id": 17015, "sequence_id": 201, "annotations": []}
{"role": "student", "content": "oh i see", "session_id": 17015, "sequence_id": 202, "annotations": []}
{"role": "volunteer", "content": "For question 14", "session_id": 17015, "sequence_id": 203, "annotations": []}
{"role": "volunteer", "content": "There we go", "session_id": 17015, "sequence_id": 204, "annotations": []}
{"role": "student", "content": "sorry i thought u meant like", "session_id": 17015, "sequence_id": 205, "annotations": []}
{"role": "student", "content": "the", "session_id": 17015, "sequence_id": 206, "annotations": []}
{"role": "volunteer", "content": "No problem, everything looks good now :)", "session_id": 17015, "sequence_id": 207, "annotations": []}
{"role": "student", "content": "wat do u call it", "session_id": 17015, "sequence_id": 208, "annotations": []}
{"role": "student", "content": "like strecthing", "session_id": 17015, "sequence_id": 209, "annotations": []}
{"role": "student", "content": "strech", "session_id": 17015, "sequence_id": 210, "annotations": []}
{"role": "student", "content": "2x", "session_id": 17015, "sequence_id": 211, "annotations": []}
{"role": "volunteer", "content": "No problem", "session_id": 17015, "sequence_id": 212, "annotations": []}
{"role": "volunteer", "content": "Any other problems you need?", "session_id": 17015, "sequence_id": 213, "annotations": []}
{"role": "student", "content": "yes", "session_id": 17015, "sequence_id": 214, "annotations": []}
{"role": "volunteer", "content": "Wow you get a lot of homewoek", "session_id": 17015, "sequence_id": 215, "annotations": []}
{"role": "student", "content": "it's like a week worth of hw", "session_id": 17015, "sequence_id": 216, "annotations": []}
{"role": "volunteer", "content": "That\u2019s no problem as long as you are doing it", "session_id": 17015, "sequence_id": 217, "annotations": []}
{"role": "student", "content": "i had already done it but like", "session_id": 17015, "sequence_id": 218, "annotations": []}
{"role": "volunteer", "content": "You seem to be doing well", "session_id": 17015, "sequence_id": 219, "annotations": []}
{"role": "student", "content": "not really cause the teacher was out so", "session_id": 17015, "sequence_id": 220, "annotations": []}
{"role": "student", "content": "i kinda did it but", "session_id": 17015, "sequence_id": 221, "annotations": []}
{"role": "student", "content": "well i did the first couple problems of it", "session_id": 17015, "sequence_id": 222, "annotations": []}
{"role": "volunteer", "content": "So we are just finding when it\u2019s continuous", "session_id": 17015, "sequence_id": 223, "annotations": []}
{"role": "student", "content": "ok so would that be like", "session_id": 17015, "sequence_id": 224, "annotations": []}
{"role": "volunteer", "content": "I believe you can do this", "session_id": 17015, "sequence_id": 225, "annotations": []}
{"role": "student", "content": "(1, 2", "session_id": 17015, "sequence_id": 226, "annotations": []}
{"role": "student", "content": "or", "session_id": 17015, "sequence_id": 227, "annotations": []}
{"role": "student", "content": "continuous is that it keeps goign right", "session_id": 17015, "sequence_id": 228, "annotations": []}
{"role": "volunteer", "content": "You would be everywhere that isn\u2019t discontinuous", "session_id": 17015, "sequence_id": 229, "annotations": []}
{"role": "student", "content": "(-infinity, 1]", "session_id": 17015, "sequence_id": 230, "annotations": []}
{"role": "volunteer", "content": "Single -", "session_id": 17015, "sequence_id": 231, "annotations": []}
{"role": "volunteer", "content": "So it would be ( - infinity, -1) U, infinity", "session_id": 17015, "sequence_id": 232, "annotations": []}
{"role": "student", "content": "why -1", "session_id": 17015, "sequence_id": 233, "annotations": []}
{"role": "volunteer", "content": "Good :) but remember not to include -1", "session_id": 17015, "sequence_id": 234, "annotations": []}
{"role": "volunteer", "content": "Oh sorry, just 1", "session_id": 17015, "sequence_id": 235, "annotations": []}
{"role": "student", "content": "ok and why is it not bracket", "session_id": 17015, "sequence_id": 236, "annotations": []}
{"role": "student", "content": "i thought a closed dot meant breacket", "session_id": 17015, "sequence_id": 237, "annotations": []}
{"role": "volunteer", "content": "Because it can\u2019t be continuous at -1, because it is a jump discontinuity there", "session_id": 17015, "sequence_id": 238, "annotations": []}
{"role": "student", "content": "then the closed dot is for intrevals only?", "session_id": 17015, "sequence_id": 239, "annotations": []}
{"role": "volunteer", "content": "Because those brackets mean it\u2019s included", "session_id": 17015, "sequence_id": 240, "annotations": []}
{"role": "volunteer", "content": "But -1 can\u2019t be included because it\u2019s discontinuous there", "session_id": 17015, "sequence_id": 241, "annotations": []}
{"role": "volunteer", "content": "2 is right though :)", "session_id": 17015, "sequence_id": 242, "annotations": []}
{"role": "volunteer", "content": "3 is close", "session_id": 17015, "sequence_id": 243, "annotations": []}
{"role": "student", "content": "what is it", "session_id": 17015, "sequence_id": 244, "annotations": []}
{"role": "student", "content": "oh i see", "session_id": 17015, "sequence_id": 245, "annotations": []}
{"role": "volunteer", "content": "But there\u2019s also a jump discontinuity at -1", "session_id": 17015, "sequence_id": 246, "annotations": []}
{"role": "volunteer", "content": "Good :)", "session_id": 17015, "sequence_id": 247, "annotations": []}
{"role": "volunteer", "content": "I think you should look at 3 again", "session_id": 17015, "sequence_id": 248, "annotations": []}
{"role": "volunteer", "content": "Just name the X coordinates where the discontinuities are", "session_id": 17015, "sequence_id": 249, "annotations": []}
{"role": "volunteer", "content": "Okay", "session_id": 17015, "sequence_id": 250, "annotations": []}
{"role": "volunteer", "content": "*to start", "session_id": 17015, "sequence_id": 251, "annotations": []}
{"role": "volunteer", "content": "Ok let me stop you there for a sec", "session_id": 17015, "sequence_id": 252, "annotations": []}
{"role": "volunteer", "content": "You don\u2019t need to stop it at 0", "session_id": 17015, "sequence_id": 253, "annotations": []}
{"role": "volunteer", "content": "You can just go from (-1, 2)", "session_id": 17015, "sequence_id": 254, "annotations": []}
{"role": "student", "content": "why", "session_id": 17015, "sequence_id": 255, "annotations": []}
{"role": "volunteer", "content": "Because it\u2019s continuous throughout all of that", "session_id": 17015, "sequence_id": 256, "annotations": []}
{"role": "volunteer", "content": "See how there is no break at 0?", "session_id": 17015, "sequence_id": 257, "annotations": []}
{"role": "volunteer", "content": "I would make it parenthesis at 2", "session_id": 17015, "sequence_id": 258, "annotations": []}
{"role": "volunteer", "content": "Because it\u2019s discontinued at 2", "session_id": 17015, "sequence_id": 259, "annotations": []}
{"role": "volunteer", "content": "You can probably put the brackets at the end though", "session_id": 17015, "sequence_id": 260, "annotations": []}
{"role": "student", "content": "bracket where?", "session_id": 17015, "sequence_id": 261, "annotations": []}
{"role": "volunteer", "content": "You did -1, 2]", "session_id": 17015, "sequence_id": 262, "annotations": []}
{"role": "student", "content": "nah", "session_id": 17015, "sequence_id": 263, "annotations": []}
{"role": "volunteer", "content": "Good :)", "session_id": 17015, "sequence_id": 264, "annotations": []}
{"role": "student", "content": "wait", "session_id": 17015, "sequence_id": 265, "annotations": []}
{"role": "student", "content": "is it -3, -1", "session_id": 17015, "sequence_id": 266, "annotations": []}
{"role": "student", "content": "or -infinity", "session_id": 17015, "sequence_id": 267, "annotations": []}
{"role": "student", "content": ", -1", "session_id": 17015, "sequence_id": 268, "annotations": []}
{"role": "volunteer", "content": "-3", "session_id": 17015, "sequence_id": 269, "annotations": []}
{"role": "volunteer", "content": "Because that\u2019s where it starts :)", "session_id": 17015, "sequence_id": 270, "annotations": []}
{"role": "volunteer", "content": "But it can be [-3", "session_id": 17015, "sequence_id": 271, "annotations": []}
{"role": "volunteer", "content": "Cause it is continuous there", "session_id": 17015, "sequence_id": 272, "annotations": []}
{"role": "student", "content": "i thought u cant have brackets", "session_id": 17015, "sequence_id": 273, "annotations": []}
{"role": "student", "content": "on continous", "session_id": 17015, "sequence_id": 274, "annotations": []}
{"role": "volunteer", "content": "You can :) at least I think you can, you just need parenthesis where it is discontinousv", "session_id": 17015, "sequence_id": 275, "annotations": []}
{"role": "volunteer", "content": "But at the start it should still be continuous", "session_id": 17015, "sequence_id": 276, "annotations": []}
{"role": "volunteer", "content": "And then I would make it 4] not infinity just because it doesn\u2019t show an arrow", "session_id": 17015, "sequence_id": 277, "annotations": []}
{"role": "volunteer", "content": "At the end", "session_id": 17015, "sequence_id": 278, "annotations": []}
{"role": "student", "content": "hmm", "session_id": 17015, "sequence_id": 279, "annotations": []}
{"role": "volunteer", "content": "Very good :)", "session_id": 17015, "sequence_id": 280, "annotations": []}
{"role": "student", "content": "so according to that logic", "session_id": 17015, "sequence_id": 281, "annotations": []}
{"role": "student", "content": "why for 1.", "session_id": 17015, "sequence_id": 282, "annotations": []}
{"role": "student", "content": "is it not (-infinity , 1]", "session_id": 17015, "sequence_id": 283, "annotations": []}
{"role": "volunteer", "content": "Because for 1 it\u2019s discontinuous, if we included 1 it would be saying it\u2019s continuous at 1", "session_id": 17015, "sequence_id": 284, "annotations": []}
{"role": "student", "content": "hhmm", "session_id": 17015, "sequence_id": 285, "annotations": []}
{"role": "student", "content": "i see", "session_id": 17015, "sequence_id": 286, "annotations": []}
{"role": "volunteer", "content": "Yes we wanna exclude 1 :)", "session_id": 17015, "sequence_id": 287, "annotations": []}
{"role": "volunteer", "content": "Same logic for 2", "session_id": 17015, "sequence_id": 288, "annotations": []}
{"role": "student", "content": "Hey i think im doing hw for tmrw", "session_id": 17015, "sequence_id": 289, "annotations": [{"pii_type": "PERSON", "surrogate": "Hey", "start": 0, "end": 3}]}
{"role": "volunteer", "content": "Ok :)", "session_id": 17015, "sequence_id": 290, "annotations": []}
{"role": "student", "content": "i think i did the hw i was supposed to", "session_id": 17015, "sequence_id": 291, "annotations": []}
{"role": "volunteer", "content": "Good :)", "session_id": 17015, "sequence_id": 292, "annotations": []}
{"role": "student", "content": "cause idk types of discontinuity", "session_id": 17015, "sequence_id": 293, "annotations": []}
{"role": "volunteer", "content": "If you need any more help I normally do more 2-4 on week days I had a good time helping you :)", "session_id": 17015, "sequence_id": 294, "annotations": []}
{"role": "student", "content": "Thank you very much!", "session_id": 17015, "sequence_id": 295, "annotations": []}
{"role": "volunteer", "content": "Thank you :)", "session_id": 17015, "sequence_id": 296, "annotations": []}
{"role": "volunteer", "content": "hello", "session_id": 18883, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "i see the problem on the board", "session_id": 18883, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "Casey", "session_id": 18883, "sequence_id": 2, "annotations": [{"pii_type": "PERSON", "surrogate": "Casey", "start": 0, "end": 5}]}
{"role": "student", "content": "im on 1", "session_id": 18883, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "alright", "session_id": 18883, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "do you need help wiht it?", "session_id": 18883, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "I'm assuming yes", "session_id": 18883, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "yes", "session_id": 18883, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "how can i determine what type of trandformation it is?", "session_id": 18883, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "alright I get what you mean", "session_id": 18883, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "let me first ask do you know", "session_id": 18883, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "what vertical and horizantal stretch mean", "session_id": 18883, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "nope", "session_id": 18883, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 18883, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "lets start with that", "session_id": 18883, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "ok horizantal stretch", "session_id": 18883, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "means", "session_id": 18883, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "let me draw a graph realquick", "session_id": 18883, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "do you see what I have", "session_id": 18883, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 18883, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "is that at the origin", "session_id": 18883, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "a horizantal stretch would look like the red line let me show you", "session_id": 18883, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "do you see how", "session_id": 18883, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "it moves down?", "session_id": 18883, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "wait let me redraw", "session_id": 18883, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "it's still at the orgin", "session_id": 18883, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "but its less steep", "session_id": 18883, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "does that kind of make sense", "session_id": 18883, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "for now we don't have to worry about specific points", "session_id": 18883, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "is there a rule for it", "session_id": 18883, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "yeah but lets get the basics of what a stretch and shrink do", "session_id": 18883, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "okaay", "session_id": 18883, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "alright so a stretch makes it towards the y axis", "session_id": 18883, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "oops", "session_id": 18883, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "mean closer to the x axis", "session_id": 18883, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "if that makes any sense e", "session_id": 18883, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "it gets like pulled towards the x axis", "session_id": 18883, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "do you kinda see how", "session_id": 18883, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "oh cuz its horizontal", "session_id": 18883, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "howd you know which way it was gonna go", "session_id": 18883, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "yeah", "session_id": 18883, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "well think of it like a string", "session_id": 18883, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "you know when its all like messy", "session_id": 18883, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "it looks like this", "session_id": 18883, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "but when you stretch it out", "session_id": 18883, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "it becomes straight like the x axis", "session_id": 18883, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "does that kind of make sense", "session_id": 18883, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "what about the way it tips?", "session_id": 18883, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "sorry what do you mean by tips like how do i know it doesn't become like this", "session_id": 18883, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "you moved the top right down why didnt you move bottom left up closer to x axis instead", "session_id": 18883, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "i moved both closer to the x axis", "session_id": 18883, "sequence_id": 50, "annotations": []}
{"role": "student", "content": "oh okay", "session_id": 18883, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "would vertical lead it away then", "session_id": 18883, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "yes in a way", "session_id": 18883, "sequence_id": 53, "annotations": []}
{"role": "student", "content": "how", "session_id": 18883, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "here let me show an example", "session_id": 18883, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "scroll down a bit Ill draw it tghere", "session_id": 18883, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "do you see the orginal line(blue)", "session_id": 18883, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "crossing through at (0,-2)", "session_id": 18883, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "you here?", "session_id": 18883, "sequence_id": 59, "annotations": []}
{"role": "student", "content": "sorry checking something", "session_id": 18883, "sequence_id": 60, "annotations": []}
{"role": "student", "content": "i see it", "session_id": 18883, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "oh that's alright", "session_id": 18883, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "so a horizantal stretch would be like this in red", "session_id": 18883, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "it becomes more like a horizantal line", "session_id": 18883, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "so now you asked", "session_id": 18883, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "or vertical right", "session_id": 18883, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "a vertical stretch would be a bit more different", "session_id": 18883, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "you are right in thinking it would go away from the y-axis", "session_id": 18883, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "i mean x axis", "session_id": 18883, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "but theres one more difference", "session_id": 18883, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "whereas the cross through point for  a horizontal shift won't change where it crosses through", "session_id": 18883, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "a vertical stretch would", "session_id": 18883, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "in green is what it would look like", "session_id": 18883, "sequence_id": 73, "annotations": []}
{"role": "student", "content": "oh okay so it leans towards y axis", "session_id": 18883, "sequence_id": 74, "annotations": []}
{"role": "volunteer", "content": "i know i just wrote ea lot", "session_id": 18883, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "yeah", "session_id": 18883, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "your getting the picture", "session_id": 18883, "sequence_id": 77, "annotations": []}
{"role": "student", "content": "is there a fotmula", "session_id": 18883, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 18883, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "let me write it for you", "session_id": 18883, "sequence_id": 80, "annotations": []}
{"role": "volunteer", "content": "g(x)=f(bx)", "session_id": 18883, "sequence_id": 81, "annotations": []}
{"role": "student", "content": "huh", "session_id": 18883, "sequence_id": 82, "annotations": []}
{"role": "volunteer", "content": "b = the factor", "session_id": 18883, "sequence_id": 83, "annotations": []}
{"role": "volunteer", "content": "yeah its a bit weird", "session_id": 18883, "sequence_id": 84, "annotations": []}
{"role": "student", "content": "ohh", "session_id": 18883, "sequence_id": 85, "annotations": []}
{"role": "volunteer", "content": "wait", "session_id": 18883, "sequence_id": 86, "annotations": []}
{"role": "volunteer", "content": "wait", "session_id": 18883, "sequence_id": 87, "annotations": []}
{"role": "volunteer", "content": "wait", "session_id": 18883, "sequence_id": 88, "annotations": []}
{"role": "volunteer", "content": "before you do anything that's the formula for the horizantal shifts", "session_id": 18883, "sequence_id": 89, "annotations": []}
{"role": "student", "content": "x is just the x right no y includedz/", "session_id": 18883, "sequence_id": 90, "annotations": []}
{"role": "student", "content": "?", "session_id": 18883, "sequence_id": 91, "annotations": []}
{"role": "volunteer", "content": "g(x)=b\u22c5f(x)", "session_id": 18883, "sequence_id": 92, "annotations": []}
{"role": "volunteer", "content": "yeah x is just the x", "session_id": 18883, "sequence_id": 93, "annotations": []}
{"role": "volunteer", "content": "do you understand what f(x) means?", "session_id": 18883, "sequence_id": 94, "annotations": []}
{"role": "student", "content": "and this is vertical stretch?", "session_id": 18883, "sequence_id": 95, "annotations": []}
{"role": "volunteer", "content": "yeah for vertical stretch or strink", "session_id": 18883, "sequence_id": 96, "annotations": []}
{"role": "student", "content": "f(x) is the function right", "session_id": 18883, "sequence_id": 97, "annotations": []}
{"role": "volunteer", "content": "yeah", "session_id": 18883, "sequence_id": 98, "annotations": []}
{"role": "volunteer", "content": "lets erase this board I'll teach you how to use this formula to solve", "session_id": 18883, "sequence_id": 99, "annotations": []}
{"role": "volunteer", "content": "and repaste", "session_id": 18883, "sequence_id": 100, "annotations": []}
{"role": "volunteer", "content": "the problem", "session_id": 18883, "sequence_id": 101, "annotations": []}
{"role": "student", "content": "alrighty all these variables are confusing Mr. Smith", "session_id": 18883, "sequence_id": 102, "annotations": [{"pii_type": "PERSON", "surrogate": "Mr. Smith", "start": 43, "end": 52}]}
{"role": "volunteer", "content": "yeah thats fine I'll teach you to use it", "session_id": 18883, "sequence_id": 103, "annotations": []}
{"role": "volunteer", "content": "sorry can you repast the problem", "session_id": 18883, "sequence_id": 104, "annotations": []}
{"role": "volunteer", "content": "it gets delted when I erase the board", "session_id": 18883, "sequence_id": 105, "annotations": []}
{"role": "volunteer", "content": "alrighty lets first test the horizantal formula", "session_id": 18883, "sequence_id": 106, "annotations": []}
{"role": "volunteer", "content": "do you see how in the orginal f(x) = 2x-4", "session_id": 18883, "sequence_id": 107, "annotations": []}
{"role": "student", "content": "yes", "session_id": 18883, "sequence_id": 108, "annotations": []}
{"role": "volunteer", "content": "can you tell me the equation", "session_id": 18883, "sequence_id": 109, "annotations": []}
{"role": "volunteer", "content": "of the line", "session_id": 18883, "sequence_id": 110, "annotations": []}
{"role": "volunteer", "content": "thats been transformed", "session_id": 18883, "sequence_id": 111, "annotations": []}
{"role": "student", "content": "2x-4", "session_id": 18883, "sequence_id": 112, "annotations": []}
{"role": "student", "content": "oh sit", "session_id": 18883, "sequence_id": 113, "annotations": []}
{"role": "volunteer", "content": "u good", "session_id": 18883, "sequence_id": 114, "annotations": []}
{"role": "volunteer", "content": "if you can tell me that it gets a lot easier", "session_id": 18883, "sequence_id": 115, "annotations": []}
{"role": "student", "content": "i meant to say wait not that whoops", "session_id": 18883, "sequence_id": 116, "annotations": []}
{"role": "volunteer", "content": "i don't really care if you curse", "session_id": 18883, "sequence_id": 117, "annotations": []}
{"role": "volunteer", "content": "can you tell me the equation", "session_id": 18883, "sequence_id": 118, "annotations": []}
{"role": "student", "content": "uhhh", "session_id": 18883, "sequence_id": 119, "annotations": []}
{"role": "volunteer", "content": "i can help if you want", "session_id": 18883, "sequence_id": 120, "annotations": []}
{"role": "student", "content": "yes pls", "session_id": 18883, "sequence_id": 121, "annotations": []}
{"role": "volunteer", "content": "alright", "session_id": 18883, "sequence_id": 122, "annotations": []}
{"role": "volunteer", "content": "so to find an equaiton for a line", "session_id": 18883, "sequence_id": 123, "annotations": []}
{"role": "volunteer", "content": "we need the slope and the y intercept", "session_id": 18883, "sequence_id": 124, "annotations": []}
{"role": "volunteer", "content": "so what's the y intercept", "session_id": 18883, "sequence_id": 125, "annotations": []}
{"role": "volunteer", "content": "that's where", "session_id": 18883, "sequence_id": 126, "annotations": []}
{"role": "volunteer", "content": "the line crosses the y axis", "session_id": 18883, "sequence_id": 127, "annotations": []}
{"role": "student", "content": "2,0", "session_id": 18883, "sequence_id": 128, "annotations": []}
{"role": "volunteer", "content": "clsoe", "session_id": 18883, "sequence_id": 129, "annotations": []}
{"role": "volunteer", "content": "it would be (0,-2)", "session_id": 18883, "sequence_id": 130, "annotations": []}
{"role": "volunteer", "content": "do you see the pink", "session_id": 18883, "sequence_id": 131, "annotations": []}
{"role": "student", "content": "oh yeah whoops", "session_id": 18883, "sequence_id": 132, "annotations": []}
{"role": "volunteer", "content": "oh ok", "session_id": 18883, "sequence_id": 133, "annotations": []}
{"role": "volunteer", "content": "so we have the y intercept", "session_id": 18883, "sequence_id": 134, "annotations": []}
{"role": "volunteer", "content": "do you know how to find slope?", "session_id": 18883, "sequence_id": 135, "annotations": []}
{"role": "student", "content": "rise over run", "session_id": 18883, "sequence_id": 136, "annotations": []}
{"role": "volunteer", "content": "yup", "session_id": 18883, "sequence_id": 137, "annotations": []}
{"role": "student", "content": "1", "session_id": 18883, "sequence_id": 138, "annotations": []}
{"role": "volunteer", "content": "good job", "session_id": 18883, "sequence_id": 139, "annotations": []}
{"role": "volunteer", "content": "so the equation of the new line", "session_id": 18883, "sequence_id": 140, "annotations": []}
{"role": "volunteer", "content": "is y= x-2", "session_id": 18883, "sequence_id": 141, "annotations": []}
{"role": "volunteer", "content": "alright now lets apply the formula", "session_id": 18883, "sequence_id": 142, "annotations": []}
{"role": "volunteer", "content": "g(x) btw is the new line", "session_id": 18883, "sequence_id": 143, "annotations": []}
{"role": "volunteer", "content": "let me simplfy that a bit for you", "session_id": 18883, "sequence_id": 144, "annotations": []}
{"role": "volunteer", "content": "ok let me tell you what I did", "session_id": 18883, "sequence_id": 145, "annotations": []}
{"role": "volunteer", "content": "so the orginal formula is g(x) = f(bx)", "session_id": 18883, "sequence_id": 146, "annotations": []}
{"role": "volunteer", "content": "right", "session_id": 18883, "sequence_id": 147, "annotations": []}
{"role": "student", "content": "yes for horizontal stretch", "session_id": 18883, "sequence_id": 148, "annotations": []}
{"role": "volunteer", "content": "yup", "session_id": 18883, "sequence_id": 149, "annotations": []}
{"role": "volunteer", "content": "we know g(x) = x-2", "session_id": 18883, "sequence_id": 150, "annotations": []}
{"role": "volunteer", "content": "as g(x) is the new line", "session_id": 18883, "sequence_id": 151, "annotations": []}
{"role": "volunteer", "content": "so i replaced the left side of the equation with x-2", "session_id": 18883, "sequence_id": 152, "annotations": []}
{"role": "volunteer", "content": "and f(x) = 2x-4", "session_id": 18883, "sequence_id": 153, "annotations": []}
{"role": "volunteer", "content": "but because b is inside the f(bx)", "session_id": 18883, "sequence_id": 154, "annotations": []}
{"role": "volunteer", "content": "it only affects the x", "session_id": 18883, "sequence_id": 155, "annotations": []}
{"role": "volunteer", "content": "so it becomes bx-4", "session_id": 18883, "sequence_id": 156, "annotations": []}
{"role": "volunteer", "content": "does that sorta make sense", "session_id": 18883, "sequence_id": 157, "annotations": []}
{"role": "student", "content": "uhh kinda", "session_id": 18883, "sequence_id": 158, "annotations": []}
{"role": "volunteer", "content": "are you confused on the right side of the equation and how i did that?", "session_id": 18883, "sequence_id": 159, "annotations": []}
{"role": "student", "content": "yea", "session_id": 18883, "sequence_id": 160, "annotations": []}
{"role": "volunteer", "content": "yeah i kinda understand", "session_id": 18883, "sequence_id": 161, "annotations": []}
{"role": "volunteer", "content": "uhh for now just bare with me on the horizantal stretch", "session_id": 18883, "sequence_id": 162, "annotations": []}
{"role": "volunteer", "content": "lets try A it says it stretchs by a factor", "session_id": 18883, "sequence_id": 163, "annotations": []}
{"role": "volunteer", "content": "of 2", "session_id": 18883, "sequence_id": 164, "annotations": []}
{"role": "volunteer", "content": "which means b is 2", "session_id": 18883, "sequence_id": 165, "annotations": []}
{"role": "volunteer", "content": "let me rewrite it for you i sorta messed up", "session_id": 18883, "sequence_id": 166, "annotations": []}
{"role": "volunteer", "content": "scroll down", "session_id": 18883, "sequence_id": 167, "annotations": []}
{"role": "volunteer", "content": "can you see it?", "session_id": 18883, "sequence_id": 168, "annotations": []}
{"role": "student", "content": "yep", "session_id": 18883, "sequence_id": 169, "annotations": []}
{"role": "volunteer", "content": "so for a", "session_id": 18883, "sequence_id": 170, "annotations": []}
{"role": "volunteer", "content": "we see the scale factor of 2", "session_id": 18883, "sequence_id": 171, "annotations": []}
{"role": "volunteer", "content": "plug in 2 to b", "session_id": 18883, "sequence_id": 172, "annotations": []}
{"role": "volunteer", "content": "and tell me what the right side of the equaiton looks like", "session_id": 18883, "sequence_id": 173, "annotations": []}
{"role": "volunteer", "content": "-4 is right btw", "session_id": 18883, "sequence_id": 174, "annotations": []}
{"role": "volunteer", "content": "did you see what I did there", "session_id": 18883, "sequence_id": 175, "annotations": []}
{"role": "student", "content": "yes i just got confused", "session_id": 18883, "sequence_id": 176, "annotations": []}
{"role": "volunteer", "content": "since it tells us for a b = 2", "session_id": 18883, "sequence_id": 177, "annotations": []}
{"role": "volunteer", "content": "oh that's alright", "session_id": 18883, "sequence_id": 178, "annotations": []}
{"role": "volunteer", "content": "so what that look like", "session_id": 18883, "sequence_id": 179, "annotations": []}
{"role": "volunteer", "content": "if you simplfy only the right side", "session_id": 18883, "sequence_id": 180, "annotations": []}
{"role": "volunteer", "content": "yup", "session_id": 18883, "sequence_id": 181, "annotations": []}
{"role": "volunteer", "content": "and that doesn't match the x-2", "session_id": 18883, "sequence_id": 182, "annotations": []}
{"role": "volunteer", "content": "right", "session_id": 18883, "sequence_id": 183, "annotations": []}
{"role": "student", "content": "right", "session_id": 18883, "sequence_id": 184, "annotations": []}
{"role": "volunteer", "content": "yeah so the goal is to match the right side to the left side", "session_id": 18883, "sequence_id": 185, "annotations": []}
{"role": "volunteer", "content": "so the left side should end up as x-2", "session_id": 18883, "sequence_id": 186, "annotations": []}
{"role": "student", "content": "oh wait were trying to gt it to equal oh okay", "session_id": 18883, "sequence_id": 187, "annotations": []}
{"role": "volunteer", "content": "yeah", "session_id": 18883, "sequence_id": 188, "annotations": []}
{"role": "volunteer", "content": "now lets try b", "session_id": 18883, "sequence_id": 189, "annotations": []}
{"role": "volunteer", "content": "we are told the factor is 1/2", "session_id": 18883, "sequence_id": 190, "annotations": []}
{"role": "volunteer", "content": "tell me what the right side equation would look like", "session_id": 18883, "sequence_id": 191, "annotations": []}
{"role": "volunteer", "content": "yup", "session_id": 18883, "sequence_id": 192, "annotations": []}
{"role": "volunteer", "content": "now simplfy the right side a bit more", "session_id": 18883, "sequence_id": 193, "annotations": []}
{"role": "student", "content": "this one is wrong", "session_id": 18883, "sequence_id": 194, "annotations": []}
{"role": "volunteer", "content": "yup", "session_id": 18883, "sequence_id": 195, "annotations": []}
{"role": "volunteer", "content": "so it has nothing to do with a horizantal stretch or shrinl", "session_id": 18883, "sequence_id": 196, "annotations": []}
{"role": "volunteer", "content": "so lets look at the vertical stuff", "session_id": 18883, "sequence_id": 197, "annotations": []}
{"role": "volunteer", "content": "the formula is g(x) = bf(x)", "session_id": 18883, "sequence_id": 198, "annotations": []}
{"role": "volunteer", "content": "do you get how i came up with that equation", "session_id": 18883, "sequence_id": 199, "annotations": []}
{"role": "student", "content": "scale factor times function", "session_id": 18883, "sequence_id": 200, "annotations": []}
{"role": "volunteer", "content": "yup", "session_id": 18883, "sequence_id": 201, "annotations": []}
{"role": "volunteer", "content": "so lets try c", "session_id": 18883, "sequence_id": 202, "annotations": []}
{"role": "volunteer", "content": "scale factor of 2", "session_id": 18883, "sequence_id": 203, "annotations": []}
{"role": "volunteer", "content": "tell me the final equation", "session_id": 18883, "sequence_id": 204, "annotations": []}
{"role": "volunteer", "content": "on the right side", "session_id": 18883, "sequence_id": 205, "annotations": []}
{"role": "student", "content": "4x-8", "session_id": 18883, "sequence_id": 206, "annotations": []}
{"role": "volunteer", "content": "yup and it doesn't match right", "session_id": 18883, "sequence_id": 207, "annotations": []}
{"role": "student", "content": "nope", "session_id": 18883, "sequence_id": 208, "annotations": []}
{"role": "volunteer", "content": "we pretty much know it's d now", "session_id": 18883, "sequence_id": 209, "annotations": []}
{"role": "student", "content": "so the answer is d", "session_id": 18883, "sequence_id": 210, "annotations": []}
{"role": "student", "content": "okay alright", "session_id": 18883, "sequence_id": 211, "annotations": []}
{"role": "volunteer", "content": "yeah", "session_id": 18883, "sequence_id": 212, "annotations": []}
{"role": "volunteer", "content": "do you need help on 2?", "session_id": 18883, "sequence_id": 213, "annotations": []}
{"role": "student", "content": "isnt it 10 < x <15", "session_id": 18883, "sequence_id": 214, "annotations": []}
{"role": "volunteer", "content": "yeah don't forget the -", "session_id": 18883, "sequence_id": 215, "annotations": []}
{"role": "volunteer", "content": "on the 10", "session_id": 18883, "sequence_id": 216, "annotations": []}
{"role": "volunteer", "content": "but yeah", "session_id": 18883, "sequence_id": 217, "annotations": []}
{"role": "student", "content": "okay yay", "session_id": 18883, "sequence_id": 218, "annotations": []}
{"role": "volunteer", "content": "anything else?", "session_id": 18883, "sequence_id": 219, "annotations": []}
{"role": "student", "content": "i thinkkkk i got it", "session_id": 18883, "sequence_id": 220, "annotations": []}
{"role": "volunteer", "content": "alright then Ill cya then", "session_id": 18883, "sequence_id": 221, "annotations": []}
{"role": "student", "content": "goodnight!", "session_id": 18883, "sequence_id": 222, "annotations": []}
{"role": "volunteer", "content": "u too", "session_id": 18883, "sequence_id": 223, "annotations": []}
{"role": "student", "content": "I need help from#2 and down", "session_id": 17114, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "Is there an accompanying graph or something for this problem?", "session_id": 17114, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "no", "session_id": 17114, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "thats just all thats on the paper", "session_id": 17114, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "Ok I see", "session_id": 17114, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "Do you need help starting or with one of the steps?", "session_id": 17114, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "everything", "session_id": 17114, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "I want to do all the problems as after doing these I can do the homework", "session_id": 17114, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "Ok", "session_id": 17114, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "I\u2019m sorry I accidentally erased some of the picture can you insert it again", "session_id": 17114, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "yeah no problem at all!!!", "session_id": 17114, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "Ok for number 2 I think we should start by drawing a graph for 1/x", "session_id": 17114, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "ok ok", "session_id": 17114, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "From 1-5", "session_id": 17114, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "can we do it on the board since I am aslo writing this on my paper", "session_id": 17114, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "Yea sure do you need help with graphing or can I just snip it from online", "session_id": 17114, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "Cause this question isn\u2019t really about graphing but it\u2019s helpful", "session_id": 17114, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "uh if we could do both that would be wonderful", "session_id": 17114, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "Do you know the shape of 1/x we don\u2019t need exact values for this question", "session_id": 17114, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "no i dont", "session_id": 17114, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "Ok well just by plugging in values from 1 to 5 we can graph it", "session_id": 17114, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "ok ok", "session_id": 17114, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "So it will look like this", "session_id": 17114, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "what is that", "session_id": 17114, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "Something like that", "session_id": 17114, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "Yea that\u2019s good", "session_id": 17114, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "Now from 1-5 we can create our 4 sub intervals", "session_id": 17114, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "Can you draw them as a right reimann sum", "session_id": 17114, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "like that?", "session_id": 17114, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "Sorry give me a second I don\u2019t see anything", "session_id": 17114, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "I can\u2019t see whatever you added to the board right now", "session_id": 17114, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "But I will add the intervals and you can check with what you did", "session_id": 17114, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "Can you see what I did?", "session_id": 17114, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "like that?", "session_id": 17114, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "what is that ovedr the 1/2 on the y axis", "session_id": 17114, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "We don\u2019t need to worry about the y values on the graphs because in our equation we will just plug in the values", "session_id": 17114, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "Can you write the equation for the reimann sum now?", "session_id": 17114, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "how is that done", "session_id": 17114, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "Do you me to do the equation as an example?", "session_id": 17114, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "huh", "session_id": 17114, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "Do you know how to write a reimann sum?", "session_id": 17114, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "is it the sum sign", "session_id": 17114, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "Yes basically", "session_id": 17114, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "like sigma", "session_id": 17114, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "Yes lemme show you", "session_id": 17114, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "Oh wait you already did can you finish the equation?", "session_id": 17114, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "is it that", "session_id": 17114, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "Not exactly", "session_id": 17114, "sequence_id": 47, "annotations": []}
{"role": "student", "content": "oh", "session_id": 17114, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "should I write that on my paper", "session_id": 17114, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "Yes but instead of f(x) substitute that for 1/x", "session_id": 17114, "sequence_id": 50, "annotations": []}
{"role": "student", "content": "ok ok", "session_id": 17114, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "did it", "session_id": 17114, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "Ok now we write the equation for each interval", "session_id": 17114, "sequence_id": 53, "annotations": []}
{"role": "student", "content": "ok ok", "session_id": 17114, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "Ok the equation for a reimann sum interval is the height times width", "session_id": 17114, "sequence_id": 55, "annotations": []}
{"role": "student", "content": "oh...", "session_id": 17114, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "And we already know the width of each rectangle is 1", "session_id": 17114, "sequence_id": 57, "annotations": []}
{"role": "student", "content": "how do we know", "session_id": 17114, "sequence_id": 58, "annotations": []}
{"role": "student", "content": "we never talked about this", "session_id": 17114, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "The way we figure out the width is by taking the total interval and dividing it by the number of sub intervals", "session_id": 17114, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "So in this case it would be (5-1)/4", "session_id": 17114, "sequence_id": 61, "annotations": []}
{"role": "student", "content": "ok but how do i do that this is my first time in this class i dont know anything", "session_id": 17114, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "Did you teacher not teach you how to solve a reimann sum?", "session_id": 17114, "sequence_id": 63, "annotations": []}
{"role": "student", "content": "no he got sick and llefy\\", "session_id": 17114, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "Liam I don\u2019t have the time to teach you everything unfortunately", "session_id": 17114, "sequence_id": 65, "annotations": [{"pii_type": "PERSON", "surrogate": "Liam", "start": 0, "end": 4}]}
{"role": "student", "content": "its okayyy", "session_id": 17114, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "It the basic equation for the interval of a reimann sum is (b-a)/n", "session_id": 17114, "sequence_id": 67, "annotations": []}
{"role": "student", "content": "oh", "session_id": 17114, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "So in this case the problem tells us the start and end of the interval is 1 and 5", "session_id": 17114, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "Hi, sorry you got cut off.", "session_id": 17402, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "What would you like to work on?", "session_id": 17402, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "OK, I see you're supposed to put these into categories. The first one is the checking account.", "session_id": 17402, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "1,450 ?", "session_id": 17402, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "Yes", "session_id": 17402, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "ok", "session_id": 17402, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "What about savings, etc.", "session_id": 17402, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "215", "session_id": 17402, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "ohh i added 170+45", "session_id": 17402, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "It looks like she has a savings account 0f 3500", "session_id": 17402, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "OK, that part is probably what she puts into her savings each month, not sure.", "session_id": 17402, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "\"Savings allocation\"", "session_id": 17402, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "So I would put savings allocation into the second line.", "session_id": 17402, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "Does she have life insurance?", "session_id": 17402, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "i only see car insurance", "session_id": 17402, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "Car insurance would go under expenses.", "session_id": 17402, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "Looks like my last message got lost.", "session_id": 17402, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "We have to look at the 4 different sections:\nAssets\nLiabilities\nIncome\nExpenses.", "session_id": 17402, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "Right now we're only dealing with assets, money & stuff she already has.", "session_id": 17402, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "Does that make sense?", "session_id": 17402, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 17402, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "i dont see life ins.", "session_id": 17402, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "Right, she doesn't have any so we leave it blank", "session_id": 17402, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "So the worksheet should show the total liquid assets, 1450 + 3500 = 4950", "session_id": 17402, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "yes", "session_id": 17402, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "LIQUID assets are those that it very easy and fast to convert to cash.", "session_id": 17402, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "Now her household assets are things that have value but can't be immediately converted", "session_id": 17402, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "She doesn't have a home, apparently, but does have a car, computer and ipad, so put those in", "session_id": 17402, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "5100", "session_id": 17402, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "For what?", "session_id": 17402, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "Oh, the total, yes", "session_id": 17402, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "it says its incorrect", "session_id": 17402, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "What line did you put it on?", "session_id": 17402, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "an error on my part i enter a 4500 instead 4950", "session_id": 17402, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "OK, and I wrote it wrong too. So we're finished with assets.", "session_id": 17402, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "I did the rest", "session_id": 17402, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "besides the credit card and charge acct", "session_id": 17402, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "Looks like the connection is spotty.", "session_id": 17402, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "So you filled in the other pages?", "session_id": 17402, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "yes", "session_id": 17402, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "What course is this for?", "session_id": 17402, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "personal finance", "session_id": 17402, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "i started this one", "session_id": 17402, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "i cant fill in the blank ones", "session_id": 17402, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "No, some categories will be blank.", "session_id": 17402, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "But the total expenses should add up to the total in the list.", "session_id": 17402, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "oh okay", "session_id": 17402, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "and idk what to put for the saving amounts", "session_id": 17402, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "What would you say for \"Regular savings\" - would you put it under Financial goal savings or Other savings? Probably either would be OK", "session_id": 17402, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "other", "session_id": 17402, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 17402, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "Any more questions?", "session_id": 17402, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "yes im still stuck on it", "session_id": 17402, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "On what?", "session_id": 17402, "sequence_id": 53, "annotations": []}
{"role": "student", "content": "other savings", "session_id": 17402, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "Can't you just take the $175 regular savings and put it there?", "session_id": 17402, "sequence_id": 55, "annotations": []}
{"role": "student", "content": "no", "session_id": 17402, "sequence_id": 56, "annotations": []}
{"role": "student", "content": "it says incorrect", "session_id": 17402, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "Then put it into financial goal savings", "session_id": 17402, "sequence_id": 58, "annotations": []}
{"role": "student", "content": "i did", "session_id": 17402, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "Does it show you what part is incorrect or could it be anything on this page?", "session_id": 17402, "sequence_id": 60, "annotations": []}
{"role": "student", "content": "its the other savings part", "session_id": 17402, "sequence_id": 61, "annotations": []}
{"role": "student", "content": "its 20 for emergency", "session_id": 17402, "sequence_id": 62, "annotations": []}
{"role": "student", "content": "175 for finanical", "session_id": 17402, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "Maybe they want you to use up the whole \"surplus\" amount.", "session_id": 17402, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "Because if she has a surplus balance every month, it has to go somewhere.", "session_id": 17402, "sequence_id": 65, "annotations": []}
{"role": "student", "content": "nope", "session_id": 17402, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "So you tried putting 750 - 195 = 555?", "session_id": 17402, "sequence_id": 67, "annotations": []}
{"role": "student", "content": "nope", "session_id": 17402, "sequence_id": 68, "annotations": []}
{"role": "student", "content": "its ok its fine", "session_id": 17402, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "\u2713", "session_id": 17402, "sequence_id": 70, "annotations": []}
{"role": "student", "content": "i just need help wth thoses to wrong answers", "session_id": 17402, "sequence_id": 71, "annotations": []}
{"role": "student", "content": "i got the first one right", "session_id": 17402, "sequence_id": 72, "annotations": []}
{"role": "student", "content": "i just need help with emergency fund", "session_id": 17402, "sequence_id": 73, "annotations": []}
{"role": "student", "content": "actual i got that right", "session_id": 17402, "sequence_id": 74, "annotations": []}
{"role": "volunteer", "content": "Why did you change it?", "session_id": 17402, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "OK, you got it all right now?", "session_id": 17402, "sequence_id": 76, "annotations": []}
{"role": "student", "content": "idk i over looked it", "session_id": 17402, "sequence_id": 77, "annotations": []}
{"role": "student", "content": "yes", "session_id": 17402, "sequence_id": 78, "annotations": []}
{"role": "student", "content": "last question is this one", "session_id": 17402, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "OK, let me know what you have trouble answering", "session_id": 17402, "sequence_id": 80, "annotations": []}
{"role": "student", "content": "is the current $15000?", "session_id": 17402, "sequence_id": 81, "annotations": []}
{"role": "volunteer", "content": "But I think you might need to multiply by 4 for the years.", "session_id": 17402, "sequence_id": 82, "annotations": []}
{"role": "volunteer", "content": "It's not clear from the calculator.", "session_id": 17402, "sequence_id": 83, "annotations": []}
{"role": "student", "content": "61,200.00 would be the inflation cost?", "session_id": 17402, "sequence_id": 84, "annotations": []}
{"role": "volunteer", "content": "Well, without inflation it would be 4 x 15K = 60,000, so I think it has to be more after inflation for 18 years", "session_id": 17402, "sequence_id": 85, "annotations": []}
{"role": "student", "content": "so it would be 60,000 x 18", "session_id": 17402, "sequence_id": 86, "annotations": []}
{"role": "student", "content": "im confused", "session_id": 17402, "sequence_id": 87, "annotations": []}
{"role": "volunteer", "content": "Not at all. The current cost would be 60,000 so put that into the top line. Then it should show you the projected future cost.", "session_id": 17402, "sequence_id": 88, "annotations": []}
{"role": "student", "content": "i did", "session_id": 17402, "sequence_id": 89, "annotations": []}
{"role": "volunteer", "content": "What does it show ?", "session_id": 17402, "sequence_id": 90, "annotations": []}
{"role": "student", "content": "nothing for projected future cost.", "session_id": 17402, "sequence_id": 91, "annotations": []}
{"role": "volunteer", "content": "So you're supposed to calculate it yourself, you can enter a number there?", "session_id": 17402, "sequence_id": 92, "annotations": []}
{"role": "student", "content": "yes", "session_id": 17402, "sequence_id": 93, "annotations": []}
{"role": "volunteer", "content": "Have you learned about compound interest?", "session_id": 17402, "sequence_id": 94, "annotations": []}
{"role": "student", "content": "no", "session_id": 17402, "sequence_id": 95, "annotations": []}
{"role": "volunteer", "content": "I don't know how they expect you do to this if you haven't learned that, though.", "session_id": 17402, "sequence_id": 96, "annotations": []}
{"role": "volunteer", "content": "Each year inflation is 2% which means the cost goes up by 2%. So in 18 years the cost will have gone up by 1.02^18", "session_id": 17402, "sequence_id": 97, "annotations": []}
{"role": "volunteer", "content": "1.02 multiplied by itself 18 times.", "session_id": 17402, "sequence_id": 98, "annotations": []}
{"role": "student", "content": "21.6", "session_id": 17402, "sequence_id": 99, "annotations": []}
{"role": "volunteer", "content": "So on the calculator you can type 1.02^18 x 60000", "session_id": 17402, "sequence_id": 100, "annotations": []}
{"role": "student", "content": "1,296,000", "session_id": 17402, "sequence_id": 101, "annotations": []}
{"role": "volunteer", "content": "You may have used 1.2 instead of 1.02", "session_id": 17402, "sequence_id": 102, "annotations": []}
{"role": "student", "content": "1,101,600", "session_id": 17402, "sequence_id": 103, "annotations": []}
{"role": "volunteer", "content": "what do you get for 1.02^18?", "session_id": 17402, "sequence_id": 104, "annotations": []}
{"role": "student", "content": "18.36", "session_id": 17402, "sequence_id": 105, "annotations": []}
{"role": "volunteer", "content": "Are you using the power key like x\u02b8 It is not multiplication.", "session_id": 17402, "sequence_id": 106, "annotations": []}
{"role": "student", "content": "1.1.428", "session_id": 17402, "sequence_id": 107, "annotations": []}
{"role": "volunteer", "content": "That's right. That's how much the cost will grow from $1 in 18 years, what's $1 now will cost $1.43.", "session_id": 17402, "sequence_id": 108, "annotations": []}
{"role": "volunteer", "content": "Multiply that by 60,000", "session_id": 17402, "sequence_id": 109, "annotations": []}
{"role": "volunteer", "content": "That's actually a simplification because the cost over 4 years will be a bit more each year. But hopefully they'll take that.", "session_id": 17402, "sequence_id": 110, "annotations": []}
{"role": "student", "content": "85,800", "session_id": 17402, "sequence_id": 111, "annotations": []}
{"role": "volunteer", "content": "I get 85,695 but maybe you rounded before finishing.", "session_id": 17402, "sequence_id": 112, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 17402, "sequence_id": 113, "annotations": []}
{"role": "volunteer", "content": "The rest involves financial formulas I don't know. I'd use an online calculator, because you have to figure out how much to save every year, at an interest rate of 10%, to yield 85,695 at the end of 18 years.", "session_id": 17402, "sequence_id": 114, "annotations": []}
{"role": "volunteer", "content": "It should be in the material you covered.", "session_id": 17402, "sequence_id": 115, "annotations": []}
{"role": "student", "content": "this class is not teach by a teacher", "session_id": 17402, "sequence_id": 116, "annotations": []}
{"role": "volunteer", "content": "I guess we need a business and finance section since it's not really part of algebra.", "session_id": 17402, "sequence_id": 117, "annotations": []}
{"role": "student", "content": "yesss", "session_id": 17402, "sequence_id": 118, "annotations": []}
{"role": "student", "content": "that would be great", "session_id": 17402, "sequence_id": 119, "annotations": []}
{"role": "volunteer", "content": "If you're self learning, then you have to be able to find the material yourself, which can be harder. But surely it's in the course you're taking.", "session_id": 17402, "sequence_id": 120, "annotations": []}
{"role": "volunteer", "content": "You can also ask any AI agent not for the answer but to explain how to work it out.", "session_id": 17402, "sequence_id": 121, "annotations": []}
{"role": "volunteer", "content": "We even have one here, the little green space man", "session_id": 17402, "sequence_id": 122, "annotations": []}
{"role": "volunteer", "content": "You can see that ours is rather limited.", "session_id": 17402, "sequence_id": 123, "annotations": []}
{"role": "student", "content": "Thats good to know", "session_id": 17402, "sequence_id": 124, "annotations": []}
{"role": "volunteer", "content": "BUt is would be a snap in Gemini for example.", "session_id": 17402, "sequence_id": 125, "annotations": []}
{"role": "student", "content": "oh ok", "session_id": 17402, "sequence_id": 126, "annotations": []}
{"role": "volunteer", "content": "OK, I've got to go as it's 8:00 but good luck.", "session_id": 17402, "sequence_id": 127, "annotations": []}
{"role": "student", "content": "thank you", "session_id": 17402, "sequence_id": 128, "annotations": []}
{"role": "volunteer", "content": "hi Lily", "session_id": 17137, "sequence_id": 0, "annotations": [{"pii_type": "PERSON", "surrogate": "Lily", "start": 3, "end": 7}]}
{"role": "student", "content": "Hello", "session_id": 17137, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "how can I help you", "session_id": 17137, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "Um", "session_id": 17137, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "do you think you can explain to me what is like an irrational number. It's like rationals and irrational.", "session_id": 17137, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "sure", "session_id": 17137, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "Lily got you", "session_id": 17137, "sequence_id": 6, "annotations": [{"pii_type": "PERSON", "surrogate": "Lily", "start": 0, "end": 4}]}
{"role": "student", "content": "OK.", "session_id": 17137, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "So", "session_id": 17137, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "rational numbers, it's just numbers that can be written as a fraction. I'm just going to rate it for you.", "session_id": 17137, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "OK", "session_id": 17137, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "We could do", "session_id": 17137, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "this", "session_id": 17137, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "or we could do 7/1.", "session_id": 17137, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "Rational numbers can also be decimals", "session_id": 17137, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "and", "session_id": 17137, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "both", "session_id": 17137, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "OK. Can they be like any decimals or does it matter?", "session_id": 17137, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "decimals it matters actually.", "session_id": 17137, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 17137, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "so", "session_id": 17137, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "for example, irrational numbers. I'm getting into that.", "session_id": 17137, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "like pie, it's a never ending decimal and it will make you vomit.", "session_id": 17137, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "Hm", "session_id": 17137, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "So I just remember it like the.", "session_id": 17137, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "and the square root of 2, it keeps on going.", "session_id": 17137, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "You can see the value of um pie and square root of 2.", "session_id": 17137, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "and you will get me.", "session_id": 17137, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "OK", "session_id": 17137, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "The decimals which are terminating.", "session_id": 17137, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "they are um", "session_id": 17137, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "OK", "session_id": 17137, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "rational because they have an end like 0.25 or 0.3 or 0.75 because they can be written as a fraction, 25/100, 3/10, 75/100. And then you can simplify it more.", "session_id": 17137, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "Oh, OK. So do, um, like", "session_id": 17137, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "So, would you like to give me some questions which we could go over or you're good, Lily?", "session_id": 17137, "sequence_id": 34, "annotations": [{"pii_type": "PERSON", "surrogate": "Lily", "start": 84, "end": 88}]}
{"role": "student", "content": "Oh yeah, one question, so like square roots like I'm just writing one for example, like, could that, is that or irrational or rational?", "session_id": 17137, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "OK, you need to figure out the value of it. Put it in your calculator.", "session_id": 17137, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "OK", "session_id": 17137, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "and then just write whatever you figure out.", "session_id": 17137, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "So then it would be a rational because it's like not one that.", "session_id": 17137, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "Did you round it? Like how many digits were after it.", "session_id": 17137, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "Oh", "session_id": 17137, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "it's like", "session_id": 17137, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "a lot of digits.", "session_id": 17137, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "OK, just put like I don't know, I'm just gonna put it in my calculator, wait a second.", "session_id": 17137, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "Hi", "session_id": 17413, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "Hi!", "session_id": 17413, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 17413, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "let's start with statement A.", "session_id": 17413, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "what do you think?", "session_id": 17413, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "i want to say its true but it should go to 7", "session_id": 17413, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "you are right", "session_id": 17413, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "but the statement is also true because it says between 3 and 6 what happens to the function", "session_id": 17413, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "as long as this is true, then the statement is true", "session_id": 17413, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "okay", "session_id": 17413, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "it doesn't say anything about 7", "session_id": 17413, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "but doesn't the line reach to 7?, so maybe an error in the writing", "session_id": 17413, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "no", "session_id": 17413, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "as long as what it says is true, then it is true", "session_id": 17413, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "ok", "session_id": 17413, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "statement B is true", "session_id": 17413, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "so how about statement C?", "session_id": 17413, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "good", "session_id": 17413, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "its true too", "session_id": 17413, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "because it faces up", "session_id": 17413, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 17413, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "again we only care about what happens between 3 and 6", "session_id": 17413, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "mhm", "session_id": 17413, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "how about statement D?", "session_id": 17413, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "thats false because even though it decrease its not facing down.", "session_id": 17413, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "exactly", "session_id": 17413, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "it is still concave up", "session_id": 17413, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "any other question?", "session_id": 17413, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "yes two more ill post it, but im getting a hang of it", "session_id": 17413, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "great", "session_id": 17413, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "let me clear the board.", "session_id": 17413, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "wow this one is interesting", "session_id": 17413, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "lol ik", "session_id": 17413, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "how about statement E?", "session_id": 17413, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "how do you find p(x)<0?", "session_id": 17413, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "these two pieces. right?", "session_id": 17413, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "because they are below the x-axis", "session_id": 17413, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "rightt", "session_id": 17413, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "so what do you think?", "session_id": 17413, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "ummm i think true", "session_id": 17413, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "you are right!", "session_id": 17413, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "ok great", "session_id": 17413, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "let's move on to statement F?", "session_id": 17413, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "wait it increases", "session_id": 17413, "sequence_id": 43, "annotations": []}
{"role": "student", "content": "and then decrease", "session_id": 17413, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "x > 0 means to the right of the y-axis", "session_id": 17413, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "oh lemme jot that down", "session_id": 17413, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "gimme a sec", "session_id": 17413, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 17413, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "okay so statement G is true bc it is decreasing", "session_id": 17413, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "yes!", "session_id": 17413, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "now statement H?", "session_id": 17413, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "clearly false but lemme develop my reason", "session_id": 17413, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 17413, "sequence_id": 53, "annotations": []}
{"role": "student", "content": "so thats false bc its decreasing and concave down?", "session_id": 17413, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "x<0 is which region?", "session_id": 17413, "sequence_id": 55, "annotations": []}
{"role": "student", "content": "below the x axis?", "session_id": 17413, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "that's for p(x)", "session_id": 17413, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "x<0 is to the left of y-axis", "session_id": 17413, "sequence_id": 58, "annotations": []}
{"role": "student", "content": "ohh", "session_id": 17413, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "so what do you think about statement I?", "session_id": 17413, "sequence_id": 60, "annotations": []}
{"role": "student", "content": "so its decreasing and concave down on the left side of the y axis?", "session_id": 17413, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "it is increasing right?", "session_id": 17413, "sequence_id": 62, "annotations": []}
{"role": "student", "content": "oh yes", "session_id": 17413, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "good", "session_id": 17413, "sequence_id": 64, "annotations": []}
{"role": "student", "content": "wait so how is it false", "session_id": 17413, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "now the part on concave down", "session_id": 17413, "sequence_id": 66, "annotations": []}
{"role": "student", "content": "would it be concave up/", "session_id": 17413, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "piece of it is concave up", "session_id": 17413, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "so statement J is wrong.", "session_id": 17413, "sequence_id": 69, "annotations": []}
{"role": "student", "content": "okay it is wrong because piece of the graph is concave up and not fully down", "session_id": 17413, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "exactly", "session_id": 17413, "sequence_id": 71, "annotations": []}
{"role": "student", "content": "alr js one more thank you", "session_id": 17413, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "sure", "session_id": 17413, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "what do you think of statement K?", "session_id": 17413, "sequence_id": 74, "annotations": []}
{"role": "student", "content": "hmm seems false because its concave up and then down", "session_id": 17413, "sequence_id": 75, "annotations": []}
{"role": "student", "content": "like a 6 7 haha", "session_id": 17413, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "yes!", "session_id": 17413, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "you got it", "session_id": 17413, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "how about statement L?", "session_id": 17413, "sequence_id": 79, "annotations": []}
{"role": "student", "content": "its got it", "session_id": 17413, "sequence_id": 80, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 17413, "sequence_id": 81, "annotations": []}
{"role": "volunteer", "content": "how about statement M?", "session_id": 17413, "sequence_id": 82, "annotations": []}
{"role": "student", "content": "statement N is true bc you go from -2 to a positive 6", "session_id": 17413, "sequence_id": 83, "annotations": []}
{"role": "volunteer", "content": "exactly", "session_id": 17413, "sequence_id": 84, "annotations": []}
{"role": "volunteer", "content": "well done!!!", "session_id": 17413, "sequence_id": 85, "annotations": []}
{"role": "student", "content": "perfecttt! thank you sooo muchh!", "session_id": 17413, "sequence_id": 86, "annotations": []}
{"role": "student", "content": "it makes so much sense", "session_id": 17413, "sequence_id": 87, "annotations": []}
{"role": "volunteer", "content": "you are very welcome.", "session_id": 17413, "sequence_id": 88, "annotations": []}
{"role": "student", "content": "have a great day!:)))", "session_id": 17413, "sequence_id": 89, "annotations": []}
{"role": "volunteer", "content": "you to", "session_id": 17413, "sequence_id": 90, "annotations": []}
{"role": "volunteer", "content": "Hello! How are you?", "session_id": 17400, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "am well thank you, how are you", "session_id": 17400, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "I'm doing great! What can I help you with today?", "session_id": 17400, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "today I need help with some math questions I will be pasting them on the board ok", "session_id": 17400, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "here is the first question that I need help with", "session_id": 17400, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "Alright, so let's start with a process of elimination. Are there any answers that you feel that you can eliminate right off the bat?", "session_id": 17400, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "option 1", "session_id": 17400, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "And out of curiosity, why do you think option 1 is incorrect?", "session_id": 17400, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "I think because at the top is says ABD and DBC are complementary and option one says supplementary", "session_id": 17400, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "The question asks about proving that ABF is 180 degrees*. So it's certainly possible for ABD and DBC to be complementary (which means they add up to 90*)", "session_id": 17400, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "And it's possible for ABD and ABF to also be supplementary (which means they add up to 180 degrees)", "session_id": 17400, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "Does that make sense, or is that a bit confusing?", "session_id": 17400, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "it makes sense", "session_id": 17400, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "In that case, I realize that I may have accidently hinted at the answer to you", "session_id": 17400, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "is it option 2", "session_id": 17400, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "or option 1", "session_id": 17400, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "If you had to pick a correct answer out of those two, which one would you pick?", "session_id": 17400, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "I think option 2", "session_id": 17400, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "Not exactly. The trick here is that option 2 is technically a true statement, but it can't be used to justify why ABF is 180 degrees*", "session_id": 17400, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "So the correct answer ends up being option 1", "session_id": 17400, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "oh ok", "session_id": 17400, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "Does my picture help clear things up a bit? Since we know that there's a straight line, it means that the angles on top of that line add up to 180 degrees", "session_id": 17400, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "yes", "session_id": 17400, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "Since ABD and ABF are both on the line, they have to add up to 180 degrees", "session_id": 17400, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "Ah alright, I'm glad that it helped. This question is certainly a bit oddly worded!", "session_id": 17400, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "yup, thank you next question", "session_id": 17400, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "Alright, so this question is certainly less wordy than the last question! Just for clarification, does your question want you to fill in all three of the boxes, or just the box labeled #2?", "session_id": 17400, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "it just wants to justify statement 4", "session_id": 17400, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "Ah, alright. Do you have any ideas on where to start?", "session_id": 17400, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "but I think its the transitive property", "session_id": 17400, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "no but I think its the transitive property", "session_id": 17400, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "Yep, that seems right to me!", "session_id": 17400, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "Well done!", "session_id": 17400, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "thank you next question", "session_id": 17400, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "here is the question", "session_id": 17400, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "I think that's its the last option", "session_id": 17400, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "So let's start with a bit of clarification. What does the two lines on point S mean?", "session_id": 17400, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "a vertex", "session_id": 17400, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "Sorry, yes, it is the last option!", "session_id": 17400, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "Well done!", "session_id": 17400, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "ok thank you next question", "session_id": 17400, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "To be quite honest with you, I don't understand this question at all! I'm sorry!", "session_id": 17400, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "no worries, next question", "session_id": 17400, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "Same situation, in all my years of doing math, I've never had questions that ask about the technique of using a compass, so I'm not sure if I can can help on this question either. I'm sorry!", "session_id": 17400, "sequence_id": 43, "annotations": []}
{"role": "student", "content": "no worries it's okay thank you so much for helping me with the other questions.", "session_id": 17400, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "bye have a nice day", "session_id": 17400, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "Bye! Have a great day!", "session_id": 17400, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "Hi Sarah", "session_id": 17416, "sequence_id": 0, "annotations": [{"pii_type": "PERSON", "surrogate": "Sarah", "start": 3, "end": 8}]}
{"role": "student", "content": "hi", "session_id": 17416, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "what can I help you with today?", "session_id": 17416, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "welp I need help", "session_id": 17416, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 17416, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "does my graph make sense?", "session_id": 17416, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "yes", "session_id": 17416, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "do you want to give a try on the domain of V?", "session_id": 17416, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "using my graph", "session_id": 17416, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "basically what values can x take", "session_id": 17416, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "that's the part I'm struggling with like how to get there, and what steps to use", "session_id": 17416, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "no problem", "session_id": 17416, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "do you think x can be greater 21?", "session_id": 17416, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "no?", "session_id": 17416, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "no", "session_id": 17416, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "why no?", "session_id": 17416, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "bc the numbers we have are a lot less then that", "session_id": 17416, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "exactly", "session_id": 17416, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "you see 2x must be less than 21", "session_id": 17416, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "there is no way we can get a x such that 2x >=21", "session_id": 17416, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "because 2x is just a part of 21", "session_id": 17416, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "ok ok so is that the reasonable domain?", "session_id": 17416, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "it makes sense right?", "session_id": 17416, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "as long as 2x<21, we can do the cutting", "session_id": 17416, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "because the other dimension is wider", "session_id": 17416, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "okkkkk that makes sense", "session_id": 17416, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "can you solve this inequality?", "session_id": 17416, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "being honest, probably not", "session_id": 17416, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "how about this: can you solve the equation 2x = 21?", "session_id": 17416, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "is it 11?... or", "session_id": 17416, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "how did you get it? you are very close", "session_id": 17416, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "I divided both sides by 2", "session_id": 17416, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "well don. Sorry the inequality is the same", "session_id": 17416, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "we want to isolate x on one side", "session_id": 17416, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "to do that we divide both sides by 2", "session_id": 17416, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "so I got it right?", "session_id": 17416, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 17416, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "I'm cooking", "session_id": 17416, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "yes you are", "session_id": 17416, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "divide both sides by 2, we will get x< 10.5", "session_id": 17416, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "thank u Mr. Mr. Davis for tutoring me I'll be sure to give you 5 stars", "session_id": 17416, "sequence_id": 40, "annotations": [{"pii_type": "PERSON", "surrogate": "Mr. Davis", "start": 12, "end": 21}]}
{"role": "volunteer", "content": "can x be negative?", "session_id": 17416, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "thank you", "session_id": 17416, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "no I don't think", "session_id": 17416, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "so the domain will be (0, 10.5)", "session_id": 17416, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "does that make sense?", "session_id": 17416, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "yes bc none our numbers are negative right?", "session_id": 17416, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 17416, "sequence_id": 47, "annotations": []}
{"role": "student", "content": "Hi", "session_id": 17429, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "Hello, Alex! What can I help you with?", "session_id": 17429, "sequence_id": 1, "annotations": [{"pii_type": "PERSON", "surrogate": "Alex", "start": 7, "end": 11}]}
{"role": "student", "content": "I need help with a percentage problem", "session_id": 17429, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "Of course!", "session_id": 17429, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "Could you paste the problem on the white board or put it in the chat?", "session_id": 17429, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "I need to find the discounted price without subtracting the discounted price with the original", "session_id": 17429, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "Okay! If you could send through the exact question that would be very helpful. We can work through it together!", "session_id": 17429, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "Alright, just give me one second to work through the problem!", "session_id": 17429, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "Ok", "session_id": 17429, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "Okay, just to be clear, you need to explain the process of solving this problem?", "session_id": 17429, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "Alex, are you there?", "session_id": 17429, "sequence_id": 10, "annotations": [{"pii_type": "PERSON", "surrogate": "Alex", "start": 0, "end": 4}]}
{"role": "student", "content": "Yes", "session_id": 17429, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "Yes I need to explain the process of solving this", "session_id": 17429, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "Without using subtraction", "session_id": 17429, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "Alright, perfect!", "session_id": 17429, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "So, you're first sentence looks good. We need to confirm that $12 is 100% of the price.", "session_id": 17429, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "Now, instead of using subtraction to solve this, here's what we can do: First, tell me, what 100% - 15%?", "session_id": 17429, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "85%", "session_id": 17429, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "Perfect!", "session_id": 17429, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "Therefore, we know that taking 15% away from $12 is the SAME as finding 85% of $12.", "session_id": 17429, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "Does this make sense?", "session_id": 17429, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 17429, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "Perfect!", "session_id": 17429, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "So, we just need to find 85% of 12. Do you know how to do that?", "session_id": 17429, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "Multiply 0.85 with 12", "session_id": 17429, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "Yup! Tell me what you get!", "session_id": 17429, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "I got 10.20", "session_id": 17429, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "That's the correct answer! $10.20!", "session_id": 17429, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "Are you able to explain the process we just did, or do you need some help?", "session_id": 17429, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "First, subtract 15% from 100%, which is 85%, then, I find 85% % by multiplying 0.85 with 12. That would lead to 10.20, which is the answer", "session_id": 17429, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "Beautiful explanation!", "session_id": 17429, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "You're all done!", "session_id": 17429, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "Do you need anymore help before I end the session?", "session_id": 17429, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "Nah, i think i might be good", "session_id": 17429, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "Great! You did an amazing job!", "session_id": 17429, "sequence_id": 34, "annotations": []}
{"role": "student", "content": ":)", "session_id": 17429, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "Bye!", "session_id": 17429, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "Bye!", "session_id": 17429, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "Afternoon", "session_id": 17426, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "hi", "session_id": 17426, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "i am very confused with this", "session_id": 17426, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "I see the problem", "session_id": 17426, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "DW it's simple", "session_id": 17426, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "ok", "session_id": 17426, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "You know how to expand (a+b)^2", "session_id": 17426, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "?", "session_id": 17426, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "no", "session_id": 17426, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "i am not sure", "session_id": 17426, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "Okay it's simple", "session_id": 17426, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "We use foil to expand the expression", "session_id": 17426, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "That means First, Outside, Inside, Last", "session_id": 17426, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "Wanna try?", "session_id": 17426, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "ok", "session_id": 17426, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "its says a+b", "session_id": 17426, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "so how would i expand this expression", "session_id": 17426, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "ohh", "session_id": 17426, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "Now you wanna try? :)", "session_id": 17426, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "This will be useful for solving the problem", "session_id": 17426, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "then b b?", "session_id": 17426, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "Yes, but not yet", "session_id": 17426, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "What is a*b?", "session_id": 17426, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "ohh ok", "session_id": 17426, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "Wanna solve it now?", "session_id": 17426, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "Oh, and here's a hint", "session_id": 17426, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "I'll give you some time to solve it, okay?", "session_id": 17426, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "ok", "session_id": 17426, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "your asking how to simplify it?", "session_id": 17426, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "We want to find out what (5+i)^2 is, and given that (a+b)^2 and i^2=-1", "session_id": 17426, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "I'll give until 4:30 to figure it out", "session_id": 17426, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "And if you still need help, I'll walk you through it", "session_id": 17426, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "ok?", "session_id": 17426, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "ok", "session_id": 17426, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "is that what you mean", "session_id": 17426, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "Close but not quite", "session_id": 17426, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "I made changes", "session_id": 17426, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "Now solve (5+i)^2", "session_id": 17426, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "5x2=10?", "session_id": 17426, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "Let's go over this", "session_id": 17426, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "Given that (a+b)^2 and i^2=-1, here's how we solve it", "session_id": 17426, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "You got taht?", "session_id": 17426, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "Hello?", "session_id": 17426, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "hi yes", "session_id": 17426, "sequence_id": 43, "annotations": []}
{"role": "student", "content": "i think this is", "session_id": 17426, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "I solved it for you", "session_id": 17426, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "so you multiplied 2x5", "session_id": 17426, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "For 2ab, yes", "session_id": 17426, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "Hi Alex", "session_id": 17516, "sequence_id": 0, "annotations": [{"pii_type": "PERSON", "surrogate": "Alex", "start": 3, "end": 7}]}
{"role": "student", "content": "Hi there.  Am I able to set up a session like on Sunday to review my study guide etc?", "session_id": 17516, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "I am new to this", "session_id": 17516, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "What time is it in your time zone now?", "session_id": 17516, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "Almost 8", "session_id": 17516, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "OK. Maybe can you show me the first page of your study guide to give me an idea?", "session_id": 17516, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "Oh I wanted to set up a session for Sunday not yodau", "session_id": 17516, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "Not today", "session_id": 17516, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "Yes, I understand. When would be a good time for you on Sunday?", "session_id": 17516, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "Like 11 am?", "session_id": 17516, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "I get my study guide on friday", "session_id": 17516, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "Give me a sec to check my schedule.", "session_id": 17516, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "Thank you so much", "session_id": 17516, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "Noon or 1 pm would be better. Would that work for you?", "session_id": 17516, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "Yes thank you so much!!! Noon is great", "session_id": 17516, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "Will you send me a link ? Do I just log in?", "session_id": 17516, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "Just log in to Ben. I'll be online at noon on Sunday.", "session_id": 17516, "sequence_id": 16, "annotations": [{"pii_type": "PERSON", "surrogate": "Ben", "start": 15, "end": 18}]}
{"role": "student", "content": "Ben you so much! ", "session_id": 17516, "sequence_id": 17, "annotations": [{"pii_type": "PERSON", "surrogate": "Ben", "start": 0, "end": 3}]}
{"role": "volunteer", "content": "You're welcome. We can end the session for now. Have a good evening.", "session_id": 17516, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "Hi again. I think there was a tech issue. \ud83e\udd72", "session_id": 17532, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "Yes, I think so", "session_id": 17532, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "Ok, I need help completing #21.", "session_id": 17532, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "sure!", "session_id": 17532, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "I\u2019m not sure if the work I did so far is right. And I need help graphing it on a number line.", "session_id": 17532, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "ok! let me check", "session_id": 17532, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "Thank you!", "session_id": 17532, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "The work looks right", "session_id": 17532, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "good job!", "session_id": 17532, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "ok so to graph, you first draw the number line and then draw a circle over the two numbers you got", "session_id": 17532, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "Do you understand so far?", "session_id": 17532, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "No rush, but are you still there?", "session_id": 17532, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "yep!", "session_id": 17532, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "Hello Chloe, how can I help you today?", "session_id": 17618, "sequence_id": 0, "annotations": [{"pii_type": "PERSON", "surrogate": "Chloe", "start": 6, "end": 11}]}
{"role": "student", "content": "hello", "session_id": 17618, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "my stuff on the boatr i need to find the quotient", "session_id": 17618, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "if you're dividing 6 by 2/3, you need to flip the 2/3 to make it 3/2 and then multiply", "session_id": 17618, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "ok", "session_id": 17618, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "what do u do now with that", "session_id": 17618, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "if you flip the fraction it becomes multiplication instead of division", "session_id": 17618, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "and remember that everyone whole number (like 6) can be represented as itself divided by 1", "session_id": 17618, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "can you show me i need a visual", "session_id": 17618, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "ohhhh", "session_id": 17618, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "do you know what to do from here?", "session_id": 17618, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "i got 9/1", "session_id": 17618, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "yes nice job", "session_id": 17618, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "but remember any number divided by one is itself", "session_id": 17618, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "so that's really just 9", "session_id": 17618, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "oh ok", "session_id": 17618, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "do you have any other questions you want to work on", "session_id": 17618, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "i can do next one on my own", "session_id": 17618, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "ima stillm be here just in case confused", "session_id": 17618, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "ok let me know if you need my help", "session_id": 17618, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "next i have 3 9/10 and 2 6/7", "session_id": 17618, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "i frgot how to do this", "session_id": 17618, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "it says divided it but dont we do multiply", "session_id": 17618, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "can you draw it on the screen for me", "session_id": 17618, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "my drawing not working i dknt know why", "session_id": 17618, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "is it like what I drew", "session_id": 17618, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "yes", "session_id": 17618, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "ok so for these you have to turn it into an improper fraction first where the numerator is bigger than the denominator", "session_id": 17618, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "do you know how to do that?", "session_id": 17618, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "ok", "session_id": 17618, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "no", "session_id": 17618, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "you want to multiply the denominator of the fraction by the whole part so on the left you do 3 x 10 and then you add the numerator", "session_id": 17618, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "ohhhhhhhhhhhhh", "session_id": 17618, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "ok", "session_id": 17618, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "then we do it for the other", "session_id": 17618, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "can you try with the fraction on the right?", "session_id": 17618, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "ok", "session_id": 17618, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "20/7", "session_id": 17618, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "yes good job", "session_id": 17618, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "so now you have this", "session_id": 17618, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "what's the next step?", "session_id": 17618, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "multiply right", "session_id": 17618, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "what do you have to do before that?", "session_id": 17618, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "umm flip it", "session_id": 17618, "sequence_id": 43, "annotations": []}
{"role": "student", "content": "um", "session_id": 17618, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 17618, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "ok", "session_id": 17618, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "what do you get now", "session_id": 17618, "sequence_id": 47, "annotations": []}
{"role": "student", "content": "273/200", "session_id": 17618, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "good job", "session_id": 17618, "sequence_id": 49, "annotations": []}
{"role": "student", "content": "ok what next", "session_id": 17618, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "that's the answer", "session_id": 17618, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "Follow these steps when dividing mixed numbers.\n\u200b1)  Write the mixed numbers as improper fractions.\n\u200b2)  Multiply by the reciprocal of the second fraction.\n\u200b3)  Multiply numerators and multiply denominators.", "session_id": 17618, "sequence_id": 52, "annotations": []}
{"role": "student", "content": "says incorrect", "session_id": 17618, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "ok, let's try to find where we made the mistake", "session_id": 17618, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "maybe it wants a mixed number as the answer?", "session_id": 17618, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "try 1 and 73/200", "session_id": 17618, "sequence_id": 56, "annotations": []}
{"role": "student", "content": "how you get that", "session_id": 17618, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "because 273/200 200/200 + 73/200", "session_id": 17618, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "but a number divided by itself is 1", "session_id": 17618, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "so it's 1 + 73/200 which is 1 and 73/200", "session_id": 17618, "sequence_id": 60, "annotations": []}
{"role": "student", "content": "one sec", "session_id": 17618, "sequence_id": 61, "annotations": []}
{"role": "student", "content": "i gave the wrong numbers oops hold on", "session_id": 17618, "sequence_id": 62, "annotations": []}
{"role": "student", "content": "now it saying", "session_id": 17618, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "You've done a great job for the past 50 minutes, unfortunately I have to go but it's been a pleasure working with you. I hope you can finish your homeowkr!", "session_id": 17618, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "Hi", "session_id": 17666, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "How are you doing?", "session_id": 17666, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "Hello im okay\n", "session_id": 17666, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "Checking an answer for algebra\n", "session_id": 17666, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "Hi! Marcus, how can I help you today?", "session_id": 17666, "sequence_id": 4, "annotations": [{"pii_type": "PERSON", "surrogate": "Marcus", "start": 4, "end": 10}]}
{"role": "volunteer", "content": "Of course, I am here to help", "session_id": 17666, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "Did you put the question on the board?", "session_id": 17666, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "I tried not sure how to send ", "session_id": 17666, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "No problem, can you put it in the text box?", "session_id": 17666, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "X-c/2 =d\n", "session_id": 17666, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "What is the question asking?", "session_id": 17666, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "To find a variable?", "session_id": 17666, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "Solve for x\n", "session_id": 17666, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "Ok, let's start!", "session_id": 17666, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "So first, tell me what you think we should do forst", "session_id": 17666, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "first*", "session_id": 17666, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "I times 2/1 by x-c/2 and also by d", "session_id": 17666, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "ok let's walk through together", "session_id": 17666, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "step 1", "session_id": 17666, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "Multiply both sides by 2", "session_id": 17666, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "so you get 2(x-c/2)=2*d", "session_id": 17666, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "make sense?", "session_id": 17666, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "let me know if you have questions before moving on", "session_id": 17666, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "step 2-Distribute on the left", "session_id": 17666, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "Then my two 2s cancel out and I am left with x-c=2d", "session_id": 17666, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "Yes, exactly", "session_id": 17666, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "Multiply both sides by 2/1 (which is just 2)", "session_id": 17666, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "The 2\u2019s cancel on the left", "session_id": 17666, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "Any questions?", "session_id": 17666, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "Then I added c to both sides and came up with x=c+2d", "session_id": 17666, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "Awesome, exactly", "session_id": 17666, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "Any others?", "session_id": 17666, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "HI! I am glad I was able to help. Let me know if you have any other questions and we can set a time to meet. Have a nice day", "session_id": 17666, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "Hi", "session_id": 17634, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "hi", "session_id": 17634, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "I have a math assignment that I haven\u2019t finished yet and I need help to get the answer to the first section to finish the rest of the Assignment", "session_id": 17634, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "Alright", "session_id": 17634, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "Can you check my answers?", "session_id": 17634, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "Yeah for sure", "session_id": 17634, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "Can you see the picture i uploaded", "session_id": 17634, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "I dont see it", "session_id": 17634, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "Ok now", "session_id": 17634, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "On the number line i marked a star for the answer but i dont think thats right", "session_id": 17634, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "Well what steps did you take to get the solution?", "session_id": 17634, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "Which one", "session_id": 17634, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "The number line", "session_id": 17634, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "Oh i just guessed", "session_id": 17634, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "Oh ok so you want me to show you how to do it?", "session_id": 17634, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "Yes please", "session_id": 17634, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "Can you see that?", "session_id": 17634, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 17634, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "Thats how you do it", "session_id": 17634, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "Ok", "session_id": 17634, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "are My answers on the other questions correct", "session_id": 17634, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "Yeah they all seem right", "session_id": 17634, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "My teacher checked the first one and she said it was correct so I kind of just Copied the steps for all of the", "session_id": 17634, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "Rest", "session_id": 17634, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "Yeah it looks good", "session_id": 17634, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "So do I mark -2 on the number line", "session_id": 17634, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 17634, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "Ok", "session_id": 17634, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "Anything else you need help with?", "session_id": 17634, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 17634, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "One of the questions says solve the equation so Do I mark Jay as -2 and solve with the equation that you showed me?", "session_id": 17634, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "J*", "session_id": 17634, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "Yeah, if it says solve the equation then take the steps I did", "session_id": 17634, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "Ok", "session_id": 17634, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "They just want you to isolate J", "session_id": 17634, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "Ok", "session_id": 17634, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "I don\u2019t know if that\u2019s the way my teacher wants me to set it up though", "session_id": 17634, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "Oh nvm", "session_id": 17634, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "I mean solving the equation is exactly what I showed you", "session_id": 17634, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "So if I didn\u2019t know the J when I\u2019m solving it, it would\u2019ve just been one", "session_id": 17634, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "What do you mean?", "session_id": 17634, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "Because I don\u2019t know what the variable Number is I just use the number one to get my answer?", "session_id": 17634, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "No, you just do the exact steps I did", "session_id": 17634, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "Ok", "session_id": 17634, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "Using the equation, you isolate the variable on one side and that's your answer", "session_id": 17634, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "Ok thank you thats it", "session_id": 17634, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "Okay no problem :)", "session_id": 17634, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "hi could you ckeck my answer for this problem?", "session_id": 17687, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "i got 17/2", "session_id": 17687, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "I see lots of correct work here. Let me ask a few questions. Have you been taught how to use horizontal slices (horizontal rectangles)?", "session_id": 17687, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "yea in terms of x", "session_id": 17687, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "i just did this with y because there's no sqrt", "session_id": 17687, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "so no +-", "session_id": 17687, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "is it correct?", "session_id": 17687, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "Oops my previous message didn't send. I said \"Hi Jamie! I'd be glad to help.\"", "session_id": 17687, "sequence_id": 7, "annotations": [{"pii_type": "PERSON", "surrogate": "Jamie", "start": 49, "end": 54}]}
{"role": "volunteer", "content": "I would recommend horizontal slices to avoid the square root. But", "session_id": 17687, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "But both ways should work! Let me continue looking at it.", "session_id": 17687, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "ok", "session_id": 17687, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "Ok! Lots of very good work here!", "session_id": 17687, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "Let me ask what you meant by the green and yellow areas.", "session_id": 17687, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "green shaded and yellow shaded regions", "session_id": 17687, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "in the graph", "session_id": 17687, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "is my final answer correct?", "session_id": 17687, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "Oh I see now. I didn\u2019t see the yellow part. Let me look over that.", "session_id": 17687, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "Alright. I get the same result! It is correct! Good job!", "session_id": 17687, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "It looks like you started to do vertical rectangles but switched to horizontal ones. Both would probably work, but horizontal is easier here. Good job on that!", "session_id": 17687, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "Is this a homework assignment?", "session_id": 17687, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "yay thanks", "session_id": 17687, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "it is", "session_id": 17687, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "Great! Would you like to go on to the next problem or ask for help when you need it?", "session_id": 17687, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "this is all i have actually :))", "session_id": 17687, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "thanks so much for checking for me", "session_id": 17687, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "Oh OK! Great working with you!", "session_id": 17687, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "Hi! I need help with the formula to solvin this", "session_id": 17707, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "Hey! How are you doing todya?", "session_id": 17707, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "*today", "session_id": 17707, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "I'm good, yourself?", "session_id": 17707, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "very well", "session_id": 17707, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "Can you elaborate the question? you need help with what part?", "session_id": 17707, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "like this whole thing, can you see it on the whiteboard?", "session_id": 17707, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "yes i can", "session_id": 17707, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "okay, so let's start with 'a'", "session_id": 17707, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "can you tell me what will come here?", "session_id": 17707, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "k", "session_id": 17707, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "idk bc idk the formula idk what to do", "session_id": 17707, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "okay no worries, let me help you here", "session_id": 17707, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "it says a purchase increases the unpaid balance and a payment decreases it", "session_id": 17707, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "look at line 1 and line 2", "session_id": 17707, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "the purchase 400.50$, will it increase or decrease the balance?", "session_id": 17707, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "increase?", "session_id": 17707, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "absolutely", "session_id": 17707, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "would  i 2540.90 400.50", "session_id": 17707, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "hence you see unpaid balance is increased 400.50 i.e. 2540.90 + 400.50 = 2941.40", "session_id": 17707, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "kk", "session_id": 17707, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "yes perfect, now let's move to line 3", "session_id": 17707, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "its a payment, the final balance as per line 2 2941.40, the payment 638 will increase or decrease the balance?", "session_id": 17707, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "oh nvm i did the math wrong i thought you 2540.90+291.40", "session_id": 17707, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "it'll increase", "session_id": 17707, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "400.50+638.00?", "session_id": 17707, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "once you have added 400 50, the final unpaid balance 2941.40, now we will forget aboyt 400.50 and only look at it when we move to the next line", "session_id": 17707, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "ohh ok", "session_id": 17707, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "As per the line, a payment decreases the unpaid balance", "session_id": 17707, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "we add that to 2941.40?", "session_id": 17707, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "what should you do?", "session_id": 17707, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "think about it again, its a payment", "session_id": 17707, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "oh it decreases", "session_id": 17707, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "so subtract", "session_id": 17707, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "not a purchase", "session_id": 17707, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "yes perfect", "session_id": 17707, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "im confused unpaid balance means it increases", "session_id": 17707, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "i thought we add", "session_id": 17707, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "so what will be the ans here", "session_id": 17707, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "oh nvm unpaid decreases", "session_id": 17707, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "2941.40-638.00?", "session_id": 17707, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "just go by the question, a purchase increase the unpaid balance and payment decrease it.", "session_id": 17707, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "yes absolutely", "session_id": 17707, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "2303.4", "session_id": 17707, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "wonderful", "session_id": 17707, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "line 4", "session_id": 17707, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "now we add for the next one", "session_id": 17707, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "2303.40+930.76?", "session_id": 17707, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "yes!", "session_id": 17707, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "3234.16", "session_id": 17707, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "very well", "session_id": 17707, "sequence_id": 50, "annotations": []}
{"role": "student", "content": "and is the 12 days part correct", "session_id": 17707, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "look at the line one on the days part", "session_id": 17707, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "from june 1 through june 7 = how many days are counted?", "session_id": 17707, "sequence_id": 53, "annotations": []}
{"role": "student", "content": "7", "session_id": 17707, "sequence_id": 54, "annotations": []}
{"role": "student", "content": "its 12 for 8-20", "session_id": 17707, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "how do you think they calculated 7?", "session_id": 17707, "sequence_id": 56, "annotations": []}
{"role": "student", "content": "im just counting from finger", "session_id": 17707, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "what fomula they used?", "session_id": 17707, "sequence_id": 58, "annotations": []}
{"role": "student", "content": "add", "session_id": 17707, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "when you are counting on finger did you count both 1 and 7?", "session_id": 17707, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "or both day 8 and day 20?", "session_id": 17707, "sequence_id": 61, "annotations": []}
{"role": "student", "content": "i did 8 to 20", "session_id": 17707, "sequence_id": 62, "annotations": []}
{"role": "student", "content": "so 9,10,11,12,13,14,15,16,17,18,19,20=12", "session_id": 17707, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "but you missed day 8", "session_id": 17707, "sequence_id": 64, "annotations": []}
{"role": "student", "content": "thats not how u add", "session_id": 17707, "sequence_id": 65, "annotations": []}
{"role": "student", "content": "for instance if u add 6+2 you do 7,8 not 6,7", "session_id": 17707, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "if you look at line 1, there are 7 days from June 1 through june 7", "session_id": 17707, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "1,2,3,4,5,6,7", "session_id": 17707, "sequence_id": 68, "annotations": []}
{"role": "student", "content": "so its 13?", "session_id": 17707, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "you don't seem convinced, let's look at line 3 - hopw many days are from june 21 through 24?", "session_id": 17707, "sequence_id": 70, "annotations": []}
{"role": "student", "content": "oh i see", "session_id": 17707, "sequence_id": 71, "annotations": []}
{"role": "student", "content": "they counted 21", "session_id": 17707, "sequence_id": 72, "annotations": []}
{"role": "student", "content": "now we 2540.90 times 7", "session_id": 17707, "sequence_id": 73, "annotations": []}
{"role": "student", "content": "2941.40 times 13", "session_id": 17707, "sequence_id": 74, "annotations": []}
{"role": "volunteer", "content": "Yeah, so a general rule when you need to include both the start date and end date you do : 20-8+1", "session_id": 17707, "sequence_id": 75, "annotations": []}
{"role": "student", "content": "13", "session_id": 17707, "sequence_id": 76, "annotations": []}
{"role": "student", "content": "20", "session_id": 17707, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "if you come across any problem where it's asked to find out the no. of days from x through y (both x and Y included) = y-x+1 is the direct formula", "session_id": 17707, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "Only if both first and the last date are to be included in the calculation", "session_id": 17707, "sequence_id": 79, "annotations": []}
{"role": "student", "content": "are my calculations correct", "session_id": 17707, "sequence_id": 80, "annotations": []}
{"role": "volunteer", "content": "yes absolutely", "session_id": 17707, "sequence_id": 81, "annotations": []}
{"role": "volunteer", "content": "all the ans are perfect", "session_id": 17707, "sequence_id": 82, "annotations": []}
{"role": "student", "content": "now for total do i just add all of it or", "session_id": 17707, "sequence_id": 83, "annotations": []}
{"role": "volunteer", "content": "just add", "session_id": 17707, "sequence_id": 84, "annotations": []}
{"role": "student", "content": "k", "session_id": 17707, "sequence_id": 85, "annotations": []}
{"role": "student", "content": "84643.06?", "session_id": 17707, "sequence_id": 86, "annotations": []}
{"role": "volunteer", "content": "yes absolutely", "session_id": 17707, "sequence_id": 87, "annotations": []}
{"role": "student", "content": "Now b", "session_id": 17707, "sequence_id": 88, "annotations": []}
{"role": "volunteer", "content": "Okay, how do you calculate average?", "session_id": 17707, "sequence_id": 89, "annotations": []}
{"role": "student", "content": "idj", "session_id": 17707, "sequence_id": 90, "annotations": []}
{"role": "student", "content": "idk", "session_id": 17707, "sequence_id": 91, "annotations": []}
{"role": "volunteer", "content": "generally, what's the formula to calculate an average?", "session_id": 17707, "sequence_id": 92, "annotations": []}
{"role": "student", "content": "add then divide", "session_id": 17707, "sequence_id": 93, "annotations": []}
{"role": "volunteer", "content": "so if there are 5 people with heights 1,2,3,4,5; average height would be?", "session_id": 17707, "sequence_id": 94, "annotations": []}
{"role": "student", "content": "1+2+3+4+5=6/5?", "session_id": 17707, "sequence_id": 95, "annotations": []}
{"role": "student", "content": "i mean thats 15/5=3", "session_id": 17707, "sequence_id": 96, "annotations": []}
{"role": "volunteer", "content": "yes perfect", "session_id": 17707, "sequence_id": 97, "annotations": []}
{"role": "volunteer", "content": "so in this case - the formula will be ?", "session_id": 17707, "sequence_id": 98, "annotations": []}
{"role": "volunteer", "content": "average balance =", "session_id": 17707, "sequence_id": 99, "annotations": []}
{"role": "student", "content": "would i add the unpaid balances?", "session_id": 17707, "sequence_id": 100, "annotations": []}
{"role": "volunteer", "content": "let's go step by step, let's write the formula first", "session_id": 17707, "sequence_id": 101, "annotations": []}
{"role": "volunteer", "content": "average balance = total balance/total days?", "session_id": 17707, "sequence_id": 102, "annotations": []}
{"role": "student", "content": "oh so 84643.06/30?", "session_id": 17707, "sequence_id": 103, "annotations": []}
{"role": "volunteer", "content": "yes!", "session_id": 17707, "sequence_id": 104, "annotations": []}
{"role": "volunteer", "content": "did you fully get it?", "session_id": 17707, "sequence_id": 105, "annotations": []}
{"role": "student", "content": "mhm", "session_id": 17707, "sequence_id": 106, "annotations": []}
{"role": "student", "content": "2821.44", "session_id": 17707, "sequence_id": 107, "annotations": []}
{"role": "volunteer", "content": "correct :)", "session_id": 17707, "sequence_id": 108, "annotations": []}
{"role": "student", "content": "now b", "session_id": 17707, "sequence_id": 109, "annotations": []}
{"role": "volunteer", "content": "c", "session_id": 17707, "sequence_id": 110, "annotations": []}
{"role": "student", "content": "i mean yea", "session_id": 17707, "sequence_id": 111, "annotations": []}
{"role": "volunteer", "content": "what do you deduce from the question? what will be the interest?", "session_id": 17707, "sequence_id": 112, "annotations": []}
{"role": "student", "content": "ummm", "session_id": 17707, "sequence_id": 113, "annotations": []}
{"role": "volunteer", "content": "read the underlined", "session_id": 17707, "sequence_id": 114, "annotations": []}
{"role": "student", "content": "oh so add the interest amount", "session_id": 17707, "sequence_id": 115, "annotations": []}
{"role": "volunteer", "content": "you just need to calculate the interest for c", "session_id": 17707, "sequence_id": 116, "annotations": []}
{"role": "volunteer", "content": "rate of interest = 1.5%\namount on which interest will be applicable = average daily balance\n\nvalue of interest would be?", "session_id": 17707, "sequence_id": 117, "annotations": []}
{"role": "student", "content": "would i multiply?", "session_id": 17707, "sequence_id": 118, "annotations": []}
{"role": "student", "content": "sorry idk how to solve this part its confusing", "session_id": 17707, "sequence_id": 119, "annotations": []}
{"role": "volunteer", "content": "No problem", "session_id": 17707, "sequence_id": 120, "annotations": []}
{"role": "volunteer", "content": "let's look at interest in terms of principal, rate and time?", "session_id": 17707, "sequence_id": 121, "annotations": []}
{"role": "volunteer", "content": "I = P*R*T", "session_id": 17707, "sequence_id": 122, "annotations": []}
{"role": "student", "content": "ok", "session_id": 17707, "sequence_id": 123, "annotations": []}
{"role": "volunteer", "content": "have you read this?", "session_id": 17707, "sequence_id": 124, "annotations": []}
{"role": "student", "content": "mhm", "session_id": 17707, "sequence_id": 125, "annotations": []}
{"role": "student", "content": "so its PRT?", "session_id": 17707, "sequence_id": 126, "annotations": []}
{"role": "student", "content": "oh nvm p=2821.44", "session_id": 17707, "sequence_id": 127, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 17707, "sequence_id": 128, "annotations": []}
{"role": "student", "content": "give me one sec movin to the other room", "session_id": 17707, "sequence_id": 129, "annotations": []}
{"role": "volunteer", "content": "no worries", "session_id": 17707, "sequence_id": 130, "annotations": []}
{"role": "student", "content": "back", "session_id": 17707, "sequence_id": 131, "annotations": []}
{"role": "volunteer", "content": "Okay, so P = 2821.44", "session_id": 17707, "sequence_id": 132, "annotations": []}
{"role": "volunteer", "content": "R =?", "session_id": 17707, "sequence_id": 133, "annotations": []}
{"role": "student", "content": "0.015", "session_id": 17707, "sequence_id": 134, "annotations": []}
{"role": "volunteer", "content": "absolutely", "session_id": 17707, "sequence_id": 135, "annotations": []}
{"role": "volunteer", "content": "T?", "session_id": 17707, "sequence_id": 136, "annotations": []}
{"role": "student", "content": "30", "session_id": 17707, "sequence_id": 137, "annotations": []}
{"role": "volunteer", "content": "look at the question again", "session_id": 17707, "sequence_id": 138, "annotations": []}
{"role": "student", "content": "oh daily", "session_id": 17707, "sequence_id": 139, "annotations": []}
{"role": "student", "content": "365", "session_id": 17707, "sequence_id": 140, "annotations": []}
{"role": "volunteer", "content": "1.5% interest for the month of june on the daily balance", "session_id": 17707, "sequence_id": 141, "annotations": []}
{"role": "volunteer", "content": "so it means that 1.5% is monthly so T=1", "session_id": 17707, "sequence_id": 142, "annotations": []}
{"role": "student", "content": "n=365", "session_id": 17707, "sequence_id": 143, "annotations": []}
{"role": "volunteer", "content": "what is n?", "session_id": 17707, "sequence_id": 144, "annotations": []}
{"role": "volunteer", "content": "I = PRT", "session_id": 17707, "sequence_id": 145, "annotations": []}
{"role": "student", "content": "n stands for the number of times interest is compounded per year", "session_id": 17707, "sequence_id": 146, "annotations": []}
{"role": "student", "content": "o", "session_id": 17707, "sequence_id": 147, "annotations": []}
{"role": "student", "content": "oh ok", "session_id": 17707, "sequence_id": 148, "annotations": []}
{"role": "volunteer", "content": "yeah, but we are not looking at compounding", "session_id": 17707, "sequence_id": 149, "annotations": []}
{"role": "volunteer", "content": "we only need to find the interest for the month of june", "session_id": 17707, "sequence_id": 150, "annotations": []}
{"role": "student", "content": "now multiply all of that?", "session_id": 17707, "sequence_id": 151, "annotations": []}
{"role": "volunteer", "content": "Yeah, but did you get why T=1?", "session_id": 17707, "sequence_id": 152, "annotations": []}
{"role": "student", "content": "u said it was", "session_id": 17707, "sequence_id": 153, "annotations": []}
{"role": "student", "content": "1", "session_id": 17707, "sequence_id": 154, "annotations": []}
{"role": "student", "content": "u said so T=1", "session_id": 17707, "sequence_id": 155, "annotations": []}
{"role": "volunteer", "content": "yeah, i am asking did you understand why i did so?", "session_id": 17707, "sequence_id": 156, "annotations": []}
{"role": "student", "content": "Uh no bc it says daily and not month and u said bc of month", "session_id": 17707, "sequence_id": 157, "annotations": []}
{"role": "volunteer", "content": "it says - an interest of 1.5% on the 'average daily balance (P)' for june", "session_id": 17707, "sequence_id": 158, "annotations": []}
{"role": "volunteer", "content": "so it implies that 1.5% is for the full month of june and not a daily rate of interest. i", "session_id": 17707, "sequence_id": 159, "annotations": []}
{"role": "volunteer", "content": "if the question had said 1.5% per day on the average daily balance then T would be different", "session_id": 17707, "sequence_id": 160, "annotations": []}
{"role": "student", "content": "oh i see", "session_id": 17707, "sequence_id": 161, "annotations": []}
{"role": "volunteer", "content": "In this case question says that 1.5% interest rate for the month of june. hence we took t=1 because we are only calculating for June", "session_id": 17707, "sequence_id": 162, "annotations": []}
{"role": "volunteer", "content": "Hope this is clear, you can ask if there is any doubt", "session_id": 17707, "sequence_id": 163, "annotations": []}
{"role": "student", "content": "Now d", "session_id": 17707, "sequence_id": 164, "annotations": []}
{"role": "volunteer", "content": "what do you understand from the question?", "session_id": 17707, "sequence_id": 165, "annotations": []}
{"role": "student", "content": "so", "session_id": 17707, "sequence_id": 166, "annotations": []}
{"role": "student", "content": "so we have to add 42.32 to something", "session_id": 17707, "sequence_id": 167, "annotations": []}
{"role": "volunteer", "content": "what do you think is something here?", "session_id": 17707, "sequence_id": 168, "annotations": []}
{"role": "student", "content": "the 84643?", "session_id": 17707, "sequence_id": 169, "annotations": []}
{"role": "volunteer", "content": "what should you pay at the end of june? the amount you have spent right? in this case - did the person spend 84K?", "session_id": 17707, "sequence_id": 170, "annotations": []}
{"role": "student", "content": "thats the unpaid balance", "session_id": 17707, "sequence_id": 171, "annotations": []}
{"role": "volunteer", "content": "thats the unpaid balance X number of days", "session_id": 17707, "sequence_id": 172, "annotations": []}
{"role": "volunteer", "content": "what's the unpaid balance at the end of june?", "session_id": 17707, "sequence_id": 173, "annotations": []}
{"role": "volunteer", "content": "after the last transaction?", "session_id": 17707, "sequence_id": 174, "annotations": []}
{"role": "student", "content": "1904", "session_id": 17707, "sequence_id": 175, "annotations": []}
{"role": "student", "content": "194k*", "session_id": 17707, "sequence_id": 176, "annotations": []}
{"role": "volunteer", "content": "try again, when we calculated the last column = we did unpaid balance X no. of days", "session_id": 17707, "sequence_id": 177, "annotations": []}
{"role": "volunteer", "content": "the question is only about unpaid balance", "session_id": 17707, "sequence_id": 178, "annotations": []}
{"role": "volunteer", "content": "so after the last transaction what is the unpaid balance?", "session_id": 17707, "sequence_id": 179, "annotations": []}
{"role": "volunteer", "content": "read the line 4", "session_id": 17707, "sequence_id": 180, "annotations": []}
{"role": "student", "content": "ok", "session_id": 17707, "sequence_id": 181, "annotations": []}
{"role": "volunteer", "content": "what's the unpaid balance?", "session_id": 17707, "sequence_id": 182, "annotations": []}
{"role": "student", "content": "3234", "session_id": 17707, "sequence_id": 183, "annotations": []}
{"role": "volunteer", "content": "great, was there any transaction post june 25?", "session_id": 17707, "sequence_id": 184, "annotations": []}
{"role": "student", "content": "june 25-30", "session_id": 17707, "sequence_id": 185, "annotations": []}
{"role": "volunteer", "content": "no transaction in this period right?", "session_id": 17707, "sequence_id": 186, "annotations": []}
{"role": "volunteer", "content": "no purchase or payment?", "session_id": 17707, "sequence_id": 187, "annotations": []}
{"role": "volunteer", "content": "so whatever is left unpaid at the end of july + interest will be the begining balance for july : is this understanding correct?", "session_id": 17707, "sequence_id": 188, "annotations": []}
{"role": "student", "content": "yes", "session_id": 17707, "sequence_id": 189, "annotations": []}
{"role": "volunteer", "content": "so what do you think is the ans?", "session_id": 17707, "sequence_id": 190, "annotations": []}
{"role": "student", "content": "i would add the 32k to the 42?", "session_id": 17707, "sequence_id": 191, "annotations": []}
{"role": "volunteer", "content": "3234", "session_id": 17707, "sequence_id": 192, "annotations": []}
{"role": "volunteer", "content": "it will be 3.234K + 42", "session_id": 17707, "sequence_id": 193, "annotations": []}
{"role": "volunteer", "content": "ignore the K thing", "session_id": 17707, "sequence_id": 194, "annotations": []}
{"role": "student", "content": "yeah ik", "session_id": 17707, "sequence_id": 195, "annotations": []}
{"role": "volunteer", "content": "let's focus 3234.16+42", "session_id": 17707, "sequence_id": 196, "annotations": []}
{"role": "student", "content": "3276.48", "session_id": 17707, "sequence_id": 197, "annotations": []}
{"role": "volunteer", "content": "perfect", "session_id": 17707, "sequence_id": 198, "annotations": []}
{"role": "volunteer", "content": "you have done a great job with this one!", "session_id": 17707, "sequence_id": 199, "annotations": []}
{"role": "volunteer", "content": "Hope this session helped", "session_id": 17707, "sequence_id": 200, "annotations": []}
{"role": "volunteer", "content": "Do you need any other help", "session_id": 17707, "sequence_id": 201, "annotations": []}
{"role": "volunteer", "content": "?", "session_id": 17707, "sequence_id": 202, "annotations": []}
{"role": "student", "content": "Yes I have anotherone", "session_id": 17707, "sequence_id": 203, "annotations": []}
{"role": "volunteer", "content": "ok sure", "session_id": 17707, "sequence_id": 204, "annotations": []}
{"role": "volunteer", "content": "let me look at that", "session_id": 17707, "sequence_id": 205, "annotations": []}
{"role": "student", "content": "giveme one sec", "session_id": 17707, "sequence_id": 206, "annotations": []}
{"role": "volunteer", "content": "i have another 10-15 mins to spare", "session_id": 17707, "sequence_id": 207, "annotations": []}
{"role": "volunteer", "content": "its exactly the same problem, you should be able to solve it quickly if you understood the last one. Give it a try.", "session_id": 17707, "sequence_id": 208, "annotations": []}
{"role": "student", "content": "640.30+2359.81", "session_id": 17707, "sequence_id": 209, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 17707, "sequence_id": 210, "annotations": []}
{"role": "student", "content": "650-3000.11", "session_id": 17707, "sequence_id": 211, "annotations": []}
{"role": "student", "content": "2350.11", "session_id": 17707, "sequence_id": 212, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 17707, "sequence_id": 213, "annotations": []}
{"role": "student", "content": "2 days", "session_id": 17707, "sequence_id": 214, "annotations": []}
{"role": "volunteer", "content": "perfect", "session_id": 17707, "sequence_id": 215, "annotations": []}
{"role": "volunteer", "content": "you can also find the days = 5+x+10+14 = 31", "session_id": 17707, "sequence_id": 216, "annotations": []}
{"role": "volunteer", "content": "you don't need to count always", "session_id": 17707, "sequence_id": 217, "annotations": []}
{"role": "volunteer", "content": "if there is only one blank in days and total is given as in this problem", "session_id": 17707, "sequence_id": 218, "annotations": []}
{"role": "student", "content": "2552.44 for a", "session_id": 17707, "sequence_id": 219, "annotations": []}
{"role": "volunteer", "content": "yeah", "session_id": 17707, "sequence_id": 220, "annotations": []}
{"role": "student", "content": "take a look", "session_id": 17707, "sequence_id": 221, "annotations": []}
{"role": "volunteer", "content": "yes 100%", "session_id": 17707, "sequence_id": 222, "annotations": []}
{"role": "student", "content": "u!", "session_id": 17707, "sequence_id": 223, "annotations": []}
{"role": "student", "content": "thank you*!", "session_id": 17707, "sequence_id": 224, "annotations": []}
{"role": "volunteer", "content": "Hello!", "session_id": 17780, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "What do you need help with?", "session_id": 17780, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "i need help with some homework", "session_id": 17780, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "sure", "session_id": 17780, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "could i share my screen with you?", "session_id": 17780, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "yeah!", "session_id": 17780, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "huh it wont let me", "session_id": 17780, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "ill js screenschot", "session_id": 17780, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "ok!", "session_id": 17780, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "can you see it?", "session_id": 17780, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "yea", "session_id": 17780, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "ik its a vertical shift up", "session_id": 17780, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "is there a specific part u need help with?", "session_id": 17780, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "yes that right", "session_id": 17780, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "but i dont really know how to find the value of k", "session_id": 17780, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "basically i need help with them all but 3", "session_id": 17780, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "do u know waht the vertex formula of an equation is ?", "session_id": 17780, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "parabola equation", "session_id": 17780, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "i dont think so..", "session_id": 17780, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "ill wirte it", "session_id": 17780, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "deos that look familar", "session_id": 17780, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "a little yes!", "session_id": 17780, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "do u know what h and k represent?", "session_id": 17780, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "no..", "session_id": 17780, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "sorry i was absent when they reviewed this so im kinda lacking on this part", "session_id": 17780, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "its oki", "session_id": 17780, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "sorry my computre is being slow", "session_id": 17780, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "h is left and right shift", "session_id": 17780, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "its okay!", "session_id": 17780, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "so what could k be?", "session_id": 17780, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "uhhh could you do it by step for me?", "session_id": 17780, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "wdym", "session_id": 17780, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "i don't get how to solve it", "session_id": 17780, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "Hello", "session_id": 17793, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "Hi I am confused how to do this", "session_id": 17793, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "No worries, for this question, to find the equivalent fractions, we can go 1 by 1.", "session_id": 17793, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "For each number line we need to find how the space between each dash.", "session_id": 17793, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "Do you know what the space between each dash is for A?", "session_id": 17793, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "8?", "session_id": 17793, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "Almost, that's the number of dashes total.", "session_id": 17793, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "How many dashes does it take to reach one?", "session_id": 17793, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "What do you mean?", "session_id": 17793, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "How many spaces are between 0 and 1 for A?", "session_id": 17793, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "2", "session_id": 17793, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "Yes", "session_id": 17793, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "If two spaces make 1, how much does one space make", "session_id": 17793, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "3?", "session_id": 17793, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "Almost", "session_id": 17793, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "In A, since two spaces make 1, one space must make 1/2", "session_id": 17793, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "Does that make sense?", "session_id": 17793, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "Ohh ok", "session_id": 17793, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "So if each space is 1/2, what number is the dot at?", "session_id": 17793, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "I can help you with this one", "session_id": 17793, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "The dot is 6 spaces after 0, so we can do 6 times 1/2 to get 3", "session_id": 17793, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "Ok", "session_id": 17793, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "I actually have to go soon. But you just have to do that same process for all of the options and select the ones that get the same answer.", "session_id": 17793, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "Hello", "session_id": 17773, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "Need help with Trignometry tutoring.", "session_id": 17773, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "do you have a problem that you are working on?", "session_id": 17773, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "Hello?", "session_id": 17773, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "It\u2019s called trigonometric functions of acute angles", "session_id": 17773, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "That\u2019s the topic name", "session_id": 17773, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "ok.  Can you show me a problem that you are working on?", "session_id": 17773, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "Can you teach me topic wise my school just started", "session_id": 17773, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "What have you learned so far?", "session_id": 17773, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "Supplementary and complementary angles standard position quadrant of an angle", "session_id": 17773, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "Sorry, I don't have a lesson planned for this.  As a tutor, I usually help students with their homework. It might be better if you made another request.  Sorry.", "session_id": 17773, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "I can get back to you tomorrow with the homework", "session_id": 17773, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "Sounds good.", "session_id": 17773, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "Have a good evening.", "session_id": 17773, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "You too thanks", "session_id": 17773, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "you are welcome.", "session_id": 17773, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "bye", "session_id": 17773, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "hi! how are you?", "session_id": 17782, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "Liam!", "session_id": 17782, "sequence_id": 1, "annotations": [{"pii_type": "PERSON", "surrogate": "Liam", "start": 0, "end": 4}]}
{"role": "volunteer", "content": "good how r u?", "session_id": 17782, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "I'm good too", "session_id": 17782, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "what do u need help with?", "session_id": 17782, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "I was wondering if you could help me with an algebra assignment", "session_id": 17782, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "yea sure", "session_id": 17782, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "do u know how long it will take", "session_id": 17782, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "aprox", "session_id": 17782, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "I only have one question I need help with", "session_id": 17782, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "oh ok", "session_id": 17782, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "what is it?", "session_id": 17782, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "can u make it a ittle bigger?", "session_id": 17782, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "thanks", "session_id": 17782, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "do u know what to do to find x-intercepts?", "session_id": 17782, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "she didn't really explain it well when I was in class", "session_id": 17782, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "set y=0", "session_id": 17782, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "or in this case f(x)", "session_id": 17782, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "ok", "session_id": 17782, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "so u can solve for x", "session_id": 17782, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "ill write it", "session_id": 17782, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "can u see that?", "session_id": 17782, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "yes", "session_id": 17782, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "can u solve for x?", "session_id": 17782, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "k", "session_id": 17782, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "7/3 and -3", "session_id": 17782, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "yes!!", "session_id": 17782, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "so thats ur answer for A B and C", "session_id": 17782, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "does it make sense?", "session_id": 17782, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "yes", "session_id": 17782, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "do u want to try doing D by urself?", "session_id": 17782, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "or do u need help?", "session_id": 17782, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "-7?", "session_id": 17782, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "Yes!!", "session_id": 17782, "sequence_id": 33, "annotations": []}
{"role": "student", "content": ":)", "session_id": 17782, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "u got it!!", "session_id": 17782, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "thank you!", "session_id": 17782, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "does it make sense tho?", "session_id": 17782, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "yes", "session_id": 17782, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "ok :)", "session_id": 17782, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "I hope you have a good night", "session_id": 17782, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "u too", "session_id": 17782, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "hi could you help  me out with this?", "session_id": 17825, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "Hi  How are you?", "session_id": 17825, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "good", "session_id": 17825, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "Ok. Let's see your integral.", "session_id": 17825, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "this is all ive got so far", "session_id": 17825, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "Ok. Give me a couple of minutes to think on this.", "session_id": 17825, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "ok", "session_id": 17825, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "It's clear that the base can be represented by r^2 + y^2, since it is a circle.  Do you agree?", "session_id": 17825, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "yea", "session_id": 17825, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "Now each \"square\" It seems to me, has a side equal to 2r.  What do you think about that?", "session_id": 17825, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "yea i agree", "session_id": 17825, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "Ok.  So I think we need another relation ship to set up the integral.  Any thoughts?", "session_id": 17825, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "that area of the squares is s^2", "session_id": 17825, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "So.  In this case each \"square\" has an area of 4r^2.", "session_id": 17825, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "why", "session_id": 17825, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "Well, if we agree that each side of the square is 2r, then the area of a representative square would be (2r)(2r) = 4r^2", "session_id": 17825, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "ohh yes ok", "session_id": 17825, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "Now.  We already know that r^2 = x^2 + y^2", "session_id": 17825, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "What we need is some relationship between x and y so that we can integrate over one variable.", "session_id": 17825, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "Give me a couple of minutes to ponder that please,", "session_id": 17825, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "ok", "session_id": 17825, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "Alright.  I think we were close.  Just a bit off.", "session_id": 17825, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "So the circle is x^2 + y^2 = r^2", "session_id": 17825, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "But the side of each square is really 2y, not 2r.  r is a constant, so that doesn't work.  Do you follow?", "session_id": 17825, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "ohh yea i see", "session_id": 17825, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "so the vertical y values change", "session_id": 17825, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "Exactly.", "session_id": 17825, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "So let's set up our integral to be a(x) = (2y)^2 = 4y^2 dx.", "session_id": 17825, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "But y^2 = (r^2 - x^2)", "session_id": 17825, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "So.  You get Int(r^2 - x^2) dx over the limits.", "session_id": 17825, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "Would you write the integral on the whiteboard please?", "session_id": 17825, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "ok", "session_id": 17825, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "like this?", "session_id": 17825, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "Excellent.  Let's talk about the limits now.", "session_id": 17825, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "im still kind of confused why we got 2y again where did the 2 come from", "session_id": 17825, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "Ok let's back up.", "session_id": 17825, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "Take a look at the diagram again and focus on the squares.", "session_id": 17825, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "ok", "session_id": 17825, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "Each one varies as shown by the vertical slices in the diagram.", "session_id": 17825, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "yea", "session_id": 17825, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "Now.  If you focus on a typical square, especially the one at the center, you will see that it is the same as the diameter of the circle.  That one is 2r for each side.", "session_id": 17825, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "The other ones are smaller, as you look at slices off the center.", "session_id": 17825, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "The relationship to determine the length of the other ones is (r^2 - y^2)^(1/2).", "session_id": 17825, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "Is that making any sense?", "session_id": 17825, "sequence_id": 43, "annotations": []}
{"role": "student", "content": "yes so that's = x?", "session_id": 17825, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "Yes!", "session_id": 17825, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "Very good.", "session_id": 17825, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "We can use either x or y to integrate here.  We just have to choose.", "session_id": 17825, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "The limits for the x must run from -r to r", "session_id": 17825, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "Think of the circular base as centered at the origin.", "session_id": 17825, "sequence_id": 49, "annotations": []}
{"role": "student", "content": "wait but how does that relate to (2y)^2 being the area??", "session_id": 17825, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "That is precisely the integral you set up.", "session_id": 17825, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "(2y)^2 = 4y^2 = 4(r^2-x^2)", "session_id": 17825, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "Then you sum up each thin slice of an area over the limits.", "session_id": 17825, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "I'm not sure I'm addressing your concern.", "session_id": 17825, "sequence_id": 54, "annotations": []}
{"role": "student", "content": "but why is it 2y and not 2r?", "session_id": 17825, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "r is a constant.  Like 4, 16, etc.", "session_id": 17825, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "It does not vary.", "session_id": 17825, "sequence_id": 57, "annotations": []}
{"role": "student", "content": "why couldnt it just be y?", "session_id": 17825, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "It is the radius of our given circle", "session_id": 17825, "sequence_id": 59, "annotations": []}
{"role": "student", "content": "why can't the entire height just be y then", "session_id": 17825, "sequence_id": 60, "annotations": []}
{"role": "student", "content": "if it vaires", "session_id": 17825, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "If you imagine the view from the top and think about the center slice...", "session_id": 17825, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "It is exactly 2r by 2r", "session_id": 17825, "sequence_id": 63, "annotations": []}
{"role": "student", "content": "yea", "session_id": 17825, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "But other slices are shorter", "session_id": 17825, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "They can be represented by 2y by 2y.", "session_id": 17825, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "That is 4y^2", "session_id": 17825, "sequence_id": 67, "annotations": []}
{"role": "student", "content": "so are we saying r=y?", "session_id": 17825, "sequence_id": 68, "annotations": []}
{"role": "student", "content": "and just not using r because it's a constant", "session_id": 17825, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "Let's back up.  I feel like I'm not answering your questions.", "session_id": 17825, "sequence_id": 70, "annotations": []}
{"role": "student", "content": "ok", "session_id": 17825, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "Think of the circle.", "session_id": 17825, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "It's the at bottom of our structure.", "session_id": 17825, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "It is sitting with a center at the origin and has an equation x^2 + y^2 = r^2", "session_id": 17825, "sequence_id": 74, "annotations": []}
{"role": "student", "content": "ok", "session_id": 17825, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "Now if we construct a very thin square over the origin, it would be 2r by 2r.  Do you see that?", "session_id": 17825, "sequence_id": 76, "annotations": []}
{"role": "student", "content": "yes", "session_id": 17825, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "Now.  This the leap of faith.", "session_id": 17825, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "Each of the squares have sides that get smaller as we move away from the center.", "session_id": 17825, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "Their sides are like 2r, but smaller.", "session_id": 17825, "sequence_id": 80, "annotations": []}
{"role": "student", "content": "ok", "session_id": 17825, "sequence_id": 81, "annotations": []}
{"role": "volunteer", "content": "The relationship is expressed as 2y by 2y.", "session_id": 17825, "sequence_id": 82, "annotations": []}
{"role": "volunteer", "content": "That is the area of a \"representative\" square.", "session_id": 17825, "sequence_id": 83, "annotations": []}
{"role": "volunteer", "content": "It's not just y^2", "session_id": 17825, "sequence_id": 84, "annotations": []}
{"role": "student", "content": "so y is just a smaller rep version of r", "session_id": 17825, "sequence_id": 85, "annotations": []}
{"role": "volunteer", "content": "When compared to the very center slice.", "session_id": 17825, "sequence_id": 86, "annotations": []}
{"role": "volunteer", "content": "Yes.", "session_id": 17825, "sequence_id": 87, "annotations": []}
{"role": "student", "content": "ok", "session_id": 17825, "sequence_id": 88, "annotations": []}
{"role": "student", "content": "could it also be (2x)^2 if i wanted to take the integral in terms of x?", "session_id": 17825, "sequence_id": 89, "annotations": []}
{"role": "volunteer", "content": "Yes.  Then the integral would be using the y variable and dy", "session_id": 17825, "sequence_id": 90, "annotations": []}
{"role": "volunteer", "content": "It is the same.", "session_id": 17825, "sequence_id": 91, "annotations": []}
{"role": "student", "content": "ok", "session_id": 17825, "sequence_id": 92, "annotations": []}
{"role": "volunteer", "content": "Now.  If you buy all that..", "session_id": 17825, "sequence_id": 93, "annotations": []}
{"role": "volunteer", "content": "We must set the limits of integration.", "session_id": 17825, "sequence_id": 94, "annotations": []}
{"role": "student", "content": "ok i get it", "session_id": 17825, "sequence_id": 95, "annotations": []}
{"role": "volunteer", "content": "The lower limit for x is -r and the upper limit for x is +r.", "session_id": 17825, "sequence_id": 96, "annotations": []}
{"role": "volunteer", "content": "So.  If you buy that, change a and b to -r and r", "session_id": 17825, "sequence_id": 97, "annotations": []}
{"role": "volunteer", "content": "The reason for this is those are the smallest and larget values of x.", "session_id": 17825, "sequence_id": 98, "annotations": []}
{"role": "volunteer", "content": "largest", "session_id": 17825, "sequence_id": 99, "annotations": []}
{"role": "volunteer", "content": "Questions?", "session_id": 17825, "sequence_id": 100, "annotations": []}
{"role": "volunteer", "content": "It may take a while to \"sink in.\"", "session_id": 17825, "sequence_id": 101, "annotations": []}
{"role": "student", "content": "no i dont that makes sense", "session_id": 17825, "sequence_id": 102, "annotations": []}
{"role": "volunteer", "content": "Ok.  Let's finish the easy part and inegrate.", "session_id": 17825, "sequence_id": 103, "annotations": []}
{"role": "student", "content": "ok", "session_id": 17825, "sequence_id": 104, "annotations": []}
{"role": "volunteer", "content": "integrate.", "session_id": 17825, "sequence_id": 105, "annotations": []}
{"role": "volunteer", "content": "Let's change a and b to -r and r", "session_id": 17825, "sequence_id": 106, "annotations": []}
{"role": "student", "content": "ok", "session_id": 17825, "sequence_id": 107, "annotations": []}
{"role": "volunteer", "content": "Good.  Want to take a shot at integrating?", "session_id": 17825, "sequence_id": 108, "annotations": []}
{"role": "student", "content": "not really the 2 variables is throwing me off", "session_id": 17825, "sequence_id": 109, "annotations": []}
{"role": "volunteer", "content": "Remember r is a constant.", "session_id": 17825, "sequence_id": 110, "annotations": []}
{"role": "volunteer", "content": "There is only one variable, x", "session_id": 17825, "sequence_id": 111, "annotations": []}
{"role": "volunteer", "content": "So the integration would be as follows:", "session_id": 17825, "sequence_id": 112, "annotations": []}
{"role": "volunteer", "content": "4[(r^2)x - (1/3)(x^3)]", "session_id": 17825, "sequence_id": 113, "annotations": []}
{"role": "student", "content": "isnt it 4/3", "session_id": 17825, "sequence_id": 114, "annotations": []}
{"role": "student", "content": "not 1/3?", "session_id": 17825, "sequence_id": 115, "annotations": []}
{"role": "volunteer", "content": "or (4r^2)(x) - (4/3)(x^3)", "session_id": 17825, "sequence_id": 116, "annotations": []}
{"role": "student", "content": "ok", "session_id": 17825, "sequence_id": 117, "annotations": []}
{"role": "volunteer", "content": "There are two terms to integrate.", "session_id": 17825, "sequence_id": 118, "annotations": []}
{"role": "volunteer", "content": "The first is simply a constant.", "session_id": 17825, "sequence_id": 119, "annotations": []}
{"role": "volunteer", "content": "So, it becomes 4r^2(x)", "session_id": 17825, "sequence_id": 120, "annotations": []}
{"role": "volunteer", "content": "The second is as you said.", "session_id": 17825, "sequence_id": 121, "annotations": []}
{"role": "volunteer", "content": "Ok. Now we plug in the upper limit of r to give 4r^3 - (4/3)r^3", "session_id": 17825, "sequence_id": 122, "annotations": []}
{"role": "volunteer", "content": "From it we will subtract the lower limit evaluated at -r", "session_id": 17825, "sequence_id": 123, "annotations": []}
{"role": "student", "content": "ok", "session_id": 17825, "sequence_id": 124, "annotations": []}
{"role": "volunteer", "content": "Give me a minute to calculate", "session_id": 17825, "sequence_id": 125, "annotations": []}
{"role": "student", "content": "i got this", "session_id": 17825, "sequence_id": 126, "annotations": []}
{"role": "volunteer", "content": "Should give a final answer of (16/3)r^3", "session_id": 17825, "sequence_id": 127, "annotations": []}
{"role": "student", "content": "oh what did I do wrong ://", "session_id": 17825, "sequence_id": 128, "annotations": []}
{"role": "volunteer", "content": "The last term should be negative", "session_id": 17825, "sequence_id": 129, "annotations": []}
{"role": "volunteer", "content": "8r^3 - (4/3)r^3 - (4/3)r^3", "session_id": 17825, "sequence_id": 130, "annotations": []}
{"role": "volunteer", "content": "8r^3 - (8/3)r^3", "session_id": 17825, "sequence_id": 131, "annotations": []}
{"role": "volunteer", "content": "(24/3)r^3 - (8/3)r^3 = (16/3)r^3", "session_id": 17825, "sequence_id": 132, "annotations": []}
{"role": "volunteer", "content": "Just simplify what you have and you will get the same answer", "session_id": 17825, "sequence_id": 133, "annotations": []}
{"role": "student", "content": "ok got it", "session_id": 17825, "sequence_id": 134, "annotations": []}
{"role": "volunteer", "content": "That was a lot.  You hung in there!", "session_id": 17825, "sequence_id": 135, "annotations": []}
{"role": "volunteer", "content": "I think it will be easier to visualize as you get more experience.", "session_id": 17825, "sequence_id": 136, "annotations": []}
{"role": "volunteer", "content": "I like that you questioned things!", "session_id": 17825, "sequence_id": 137, "annotations": []}
{"role": "student", "content": "thanks :))", "session_id": 17825, "sequence_id": 138, "annotations": []}
{"role": "student", "content": "it made sense thanks for explaining", "session_id": 17825, "sequence_id": 139, "annotations": []}
{"role": "student", "content": "I do have 2 more like this though :(((", "session_id": 17825, "sequence_id": 140, "annotations": []}
{"role": "volunteer", "content": "These are not easy!", "session_id": 17825, "sequence_id": 141, "annotations": []}
{"role": "volunteer", "content": "Let's see another.", "session_id": 17825, "sequence_id": 142, "annotations": []}
{"role": "student", "content": "ok :))", "session_id": 17825, "sequence_id": 143, "annotations": []}
{"role": "volunteer", "content": "Let me think for a few minutes.", "session_id": 17825, "sequence_id": 144, "annotations": []}
{"role": "volunteer", "content": "Ok.", "session_id": 17825, "sequence_id": 145, "annotations": []}
{"role": "volunteer", "content": "what are the length of the major and minor axes for the ellipse?", "session_id": 17825, "sequence_id": 146, "annotations": []}
{"role": "student", "content": "not too sure", "session_id": 17825, "sequence_id": 147, "annotations": []}
{"role": "volunteer", "content": "Ok.", "session_id": 17825, "sequence_id": 148, "annotations": []}
{"role": "volunteer", "content": "So the ellipse in standard form is x^2/2^2 + y^2/5^2 = 1", "session_id": 17825, "sequence_id": 149, "annotations": []}
{"role": "volunteer", "content": "So. the ellipse runs from -2 to 2 on the x axis.  And -5 to 5 on the y-axis.", "session_id": 17825, "sequence_id": 150, "annotations": []}
{"role": "volunteer", "content": "Does that make sense?", "session_id": 17825, "sequence_id": 151, "annotations": []}
{"role": "student", "content": "how did you get there", "session_id": 17825, "sequence_id": 152, "annotations": []}
{"role": "student", "content": "to the standard form", "session_id": 17825, "sequence_id": 153, "annotations": []}
{"role": "student", "content": "divide 100 on both sides", "session_id": 17825, "sequence_id": 154, "annotations": []}
{"role": "volunteer", "content": "Right.  Give me a couple more minutes please.", "session_id": 17825, "sequence_id": 155, "annotations": []}
{"role": "student", "content": "ok", "session_id": 17825, "sequence_id": 156, "annotations": []}
{"role": "volunteer", "content": "All right.  This is going to be similar to the last problem.  Put on your thinking cap!", "session_id": 17825, "sequence_id": 157, "annotations": []}
{"role": "volunteer", "content": "So.  We can picture triangles just like the squares we had last time.", "session_id": 17825, "sequence_id": 158, "annotations": []}
{"role": "volunteer", "content": "And you are right that area is (1/2)bh.", "session_id": 17825, "sequence_id": 159, "annotations": []}
{"role": "volunteer", "content": "We actually know that each base of the triangles is exactly 2y.", "session_id": 17825, "sequence_id": 160, "annotations": []}
{"role": "volunteer", "content": "Do you see that?", "session_id": 17825, "sequence_id": 161, "annotations": []}
{"role": "volunteer", "content": "Think of the largest triangle at the center if that helps.", "session_id": 17825, "sequence_id": 162, "annotations": []}
{"role": "volunteer", "content": "Jamie, are you there?", "session_id": 17825, "sequence_id": 163, "annotations": [{"pii_type": "PERSON", "surrogate": "Jamie", "start": 0, "end": 5}]}
{"role": "student", "content": "yea", "session_id": 17825, "sequence_id": 164, "annotations": []}
{"role": "student", "content": "sorry i went to the bathroom", "session_id": 17825, "sequence_id": 165, "annotations": []}
{"role": "volunteer", "content": "Let me take a break also for a couple of minutes, ok?", "session_id": 17825, "sequence_id": 166, "annotations": []}
{"role": "student", "content": "sure", "session_id": 17825, "sequence_id": 167, "annotations": []}
{"role": "volunteer", "content": "I'm back", "session_id": 17825, "sequence_id": 168, "annotations": []}
{"role": "student", "content": "ok", "session_id": 17825, "sequence_id": 169, "annotations": []}
{"role": "volunteer", "content": "So.  We've got all these isocelles right triangles that have a base of 2y, does that make sense?", "session_id": 17825, "sequence_id": 170, "annotations": []}
{"role": "student", "content": "yes", "session_id": 17825, "sequence_id": 171, "annotations": []}
{"role": "volunteer", "content": "Good.  So we want to get the area of a representative triangle and then integrate over each thin slice, dx.", "session_id": 17825, "sequence_id": 172, "annotations": []}
{"role": "volunteer", "content": "Now.  We need to formulate the area of a representative triangle.", "session_id": 17825, "sequence_id": 173, "annotations": []}
{"role": "volunteer", "content": "Let's call the each leg length b.", "session_id": 17825, "sequence_id": 174, "annotations": []}
{"role": "volunteer", "content": "Then, by the Pythagorean Theorem b^2 + b^2 = (2y)^2", "session_id": 17825, "sequence_id": 175, "annotations": []}
{"role": "student", "content": "wait isnt b the base ie the hypotenuse", "session_id": 17825, "sequence_id": 176, "annotations": []}
{"role": "volunteer", "content": "Think of these triangles coming to a point at the top wthe base being the hypotenuse.", "session_id": 17825, "sequence_id": 177, "annotations": []}
{"role": "volunteer", "content": "We can use another variable if that confuses you.", "session_id": 17825, "sequence_id": 178, "annotations": []}
{"role": "student", "content": "yes please", "session_id": 17825, "sequence_id": 179, "annotations": []}
{"role": "volunteer", "content": "Ok.  Remember that each triangle has a base (which is the hypotenuse) and two congruent legs, let's call them s for sides.", "session_id": 17825, "sequence_id": 180, "annotations": []}
{"role": "student", "content": "ok", "session_id": 17825, "sequence_id": 181, "annotations": []}
{"role": "volunteer", "content": "Then for each triangle, (2y)^2 = s^2 + s^2", "session_id": 17825, "sequence_id": 182, "annotations": []}
{"role": "volunteer", "content": "By the Pythagorean Theorem.", "session_id": 17825, "sequence_id": 183, "annotations": []}
{"role": "volunteer", "content": "Tell me if that makes sense.", "session_id": 17825, "sequence_id": 184, "annotations": []}
{"role": "student", "content": "ok", "session_id": 17825, "sequence_id": 185, "annotations": []}
{"role": "student", "content": "makes sense", "session_id": 17825, "sequence_id": 186, "annotations": []}
{"role": "volunteer", "content": "Good.", "session_id": 17825, "sequence_id": 187, "annotations": []}
{"role": "volunteer", "content": "So 4y^2 = 2s^2", "session_id": 17825, "sequence_id": 188, "annotations": []}
{"role": "volunteer", "content": "and s^2 = 2y^2", "session_id": 17825, "sequence_id": 189, "annotations": []}
{"role": "volunteer", "content": "Right?", "session_id": 17825, "sequence_id": 190, "annotations": []}
{"role": "student", "content": "yea", "session_id": 17825, "sequence_id": 191, "annotations": []}
{"role": "volunteer", "content": "But the area of a triangle is (1/2)(s)(s) = (1/2)s^2 = y^2", "session_id": 17825, "sequence_id": 192, "annotations": []}
{"role": "volunteer", "content": "Ask questions if it is not clear.", "session_id": 17825, "sequence_id": 193, "annotations": []}
{"role": "student", "content": "that last part didnt make sense", "session_id": 17825, "sequence_id": 194, "annotations": []}
{"role": "volunteer", "content": "glad you stopped me", "session_id": 17825, "sequence_id": 195, "annotations": []}
{"role": "volunteer", "content": "So.  We are visualizing all these very thin triangles with bases lying on the floor which is shaped like an ellipse.", "session_id": 17825, "sequence_id": 196, "annotations": []}
{"role": "student", "content": "ok", "session_id": 17825, "sequence_id": 197, "annotations": []}
{"role": "volunteer", "content": "We know that the hypotenuse of each of these triangles can be represented as 2y.", "session_id": 17825, "sequence_id": 198, "annotations": []}
{"role": "student", "content": "ok", "session_id": 17825, "sequence_id": 199, "annotations": []}
{"role": "volunteer", "content": "Good.", "session_id": 17825, "sequence_id": 200, "annotations": []}
{"role": "volunteer", "content": "Now each of these triangles happens to be isoceles right", "session_id": 17825, "sequence_id": 201, "annotations": []}
{"role": "volunteer", "content": "So.  We want know what the side are.", "session_id": 17825, "sequence_id": 202, "annotations": []}
{"role": "volunteer", "content": "The Pythagorean Theorem says that (2y)^2 = s^2 + s^2 for each of these triangles.", "session_id": 17825, "sequence_id": 203, "annotations": []}
{"role": "student", "content": "ok", "session_id": 17825, "sequence_id": 204, "annotations": []}
{"role": "volunteer", "content": "They have congruent sides", "session_id": 17825, "sequence_id": 205, "annotations": []}
{"role": "volunteer", "content": "4y^2 = 2s^2 simplifiying.", "session_id": 17825, "sequence_id": 206, "annotations": []}
{"role": "student", "content": "ok", "session_id": 17825, "sequence_id": 207, "annotations": []}
{"role": "volunteer", "content": "s^2 = 2y^2 further simplifying.", "session_id": 17825, "sequence_id": 208, "annotations": []}
{"role": "student", "content": "ok", "session_id": 17825, "sequence_id": 209, "annotations": []}
{"role": "volunteer", "content": "But notice that if we multiply each side of this equatio by 1/2, we have the area of a representative triangle", "session_id": 17825, "sequence_id": 210, "annotations": []}
{"role": "volunteer", "content": "Do you see this?  It's okay if you don't", "session_id": 17825, "sequence_id": 211, "annotations": []}
{"role": "student", "content": "no i don't", "session_id": 17825, "sequence_id": 212, "annotations": []}
{"role": "volunteer", "content": "Glad you stopped me", "session_id": 17825, "sequence_id": 213, "annotations": []}
{"role": "volunteer", "content": "I think you followed to the point where we said s^2 = 2y^2.  Correct?", "session_id": 17825, "sequence_id": 214, "annotations": []}
{"role": "student", "content": "yes", "session_id": 17825, "sequence_id": 215, "annotations": []}
{"role": "volunteer", "content": "But the area of a representative triangle is (1/2)(bh) = (1/2)(s)(s) = (1/2)s^2 = y^2.", "session_id": 17825, "sequence_id": 216, "annotations": []}
{"role": "student", "content": "oh so the height isnt like what i had in the drawing", "session_id": 17825, "sequence_id": 217, "annotations": []}
{"role": "student", "content": "on the board", "session_id": 17825, "sequence_id": 218, "annotations": []}
{"role": "student", "content": "its s?", "session_id": 17825, "sequence_id": 219, "annotations": []}
{"role": "volunteer", "content": "s is the leg of the triangle.", "session_id": 17825, "sequence_id": 220, "annotations": []}
{"role": "volunteer", "content": "h is not involved in the calculation.", "session_id": 17825, "sequence_id": 221, "annotations": []}
{"role": "volunteer", "content": "You have the two congruent sides - each is s", "session_id": 17825, "sequence_id": 222, "annotations": []}
{"role": "student", "content": "is bh=ss?", "session_id": 17825, "sequence_id": 223, "annotations": []}
{"role": "volunteer", "content": "(1/2)(bh) = (1/2)(s)(s) = (1/2)s^2", "session_id": 17825, "sequence_id": 224, "annotations": []}
{"role": "volunteer", "content": "We are not using the h you have marked on your triangle.", "session_id": 17825, "sequence_id": 225, "annotations": []}
{"role": "volunteer", "content": "We are using the legs of a isosoles triange.", "session_id": 17825, "sequence_id": 226, "annotations": []}
{"role": "volunteer", "content": "We are kind of going around in circles", "session_id": 17825, "sequence_id": 227, "annotations": []}
{"role": "student", "content": "ok", "session_id": 17825, "sequence_id": 228, "annotations": []}
{"role": "volunteer", "content": "Please ask me some question.", "session_id": 17825, "sequence_id": 229, "annotations": []}
{"role": "volunteer", "content": "s", "session_id": 17825, "sequence_id": 230, "annotations": []}
{"role": "student", "content": "why the legs for b and h", "session_id": 17825, "sequence_id": 231, "annotations": []}
{"role": "student", "content": "and not the general height", "session_id": 17825, "sequence_id": 232, "annotations": []}
{"role": "volunteer", "content": "Please draw me an isoceles right triangle on the board.", "session_id": 17825, "sequence_id": 233, "annotations": []}
{"role": "student", "content": "this?", "session_id": 17825, "sequence_id": 234, "annotations": []}
{"role": "volunteer", "content": "Yup!", "session_id": 17825, "sequence_id": 235, "annotations": []}
{"role": "volunteer", "content": "Now label each side s", "session_id": 17825, "sequence_id": 236, "annotations": []}
{"role": "volunteer", "content": "Great!", "session_id": 17825, "sequence_id": 237, "annotations": []}
{"role": "volunteer", "content": "Now calculate the area of that triangle, please", "session_id": 17825, "sequence_id": 238, "annotations": []}
{"role": "volunteer", "content": "The base is s and the height is s", "session_id": 17825, "sequence_id": 239, "annotations": []}
{"role": "volunteer", "content": "So what is the area?", "session_id": 17825, "sequence_id": 240, "annotations": []}
{"role": "student", "content": "ohh ok", "session_id": 17825, "sequence_id": 241, "annotations": []}
{"role": "volunteer", "content": "What is the area if the base is s and the height is s?", "session_id": 17825, "sequence_id": 242, "annotations": []}
{"role": "volunteer", "content": "Right.  (1/2)s^2", "session_id": 17825, "sequence_id": 243, "annotations": []}
{"role": "volunteer", "content": "But since s^2 = 2y^2, (1/2)s^2 = y^2, the area of our representative triangle.", "session_id": 17825, "sequence_id": 244, "annotations": []}
{"role": "student", "content": "ok", "session_id": 17825, "sequence_id": 245, "annotations": []}
{"role": "student", "content": "makes sense", "session_id": 17825, "sequence_id": 246, "annotations": []}
{"role": "volunteer", "content": "I hope I'm not confusing you more than helping.", "session_id": 17825, "sequence_id": 247, "annotations": []}
{"role": "student", "content": "no this helps", "session_id": 17825, "sequence_id": 248, "annotations": []}
{"role": "volunteer", "content": "Ok.  Good.", "session_id": 17825, "sequence_id": 249, "annotations": []}
{"role": "volunteer", "content": "Now we are ready to set up our integral.", "session_id": 17825, "sequence_id": 250, "annotations": []}
{"role": "volunteer", "content": "Since y^2 is now the area of a representative triangle,  We can integrate it with respect to x.", "session_id": 17825, "sequence_id": 251, "annotations": []}
{"role": "volunteer", "content": "First would you solve for y^2 from the original ellipse equation, please?", "session_id": 17825, "sequence_id": 252, "annotations": []}
{"role": "student", "content": "this?", "session_id": 17825, "sequence_id": 253, "annotations": []}
{"role": "volunteer", "content": "I think y^2 = 25 - x^2, if you go back to the original equation for the ellipse.", "session_id": 17825, "sequence_id": 254, "annotations": []}
{"role": "volunteer", "content": "I'm sorry.  YOu are right!!!", "session_id": 17825, "sequence_id": 255, "annotations": []}
{"role": "student", "content": "ok", "session_id": 17825, "sequence_id": 256, "annotations": []}
{"role": "volunteer", "content": "Now let's think of the limits for our integral\\", "session_id": 17825, "sequence_id": 257, "annotations": []}
{"role": "volunteer", "content": "Recall that the x-axis runs from -2 to 2.", "session_id": 17825, "sequence_id": 258, "annotations": []}
{"role": "student", "content": "ok why is that?", "session_id": 17825, "sequence_id": 259, "annotations": []}
{"role": "volunteer", "content": "When we standardized the ellipse equation, we got x^2/2^2 = Y^2/25 = 1", "session_id": 17825, "sequence_id": 260, "annotations": []}
{"role": "student", "content": "ok got it", "session_id": 17825, "sequence_id": 261, "annotations": []}
{"role": "volunteer", "content": "That means the left most point on the ellipse is at -2 and the right most point is 2.  Do you see that?", "session_id": 17825, "sequence_id": 262, "annotations": []}
{"role": "volunteer", "content": "Great", "session_id": 17825, "sequence_id": 263, "annotations": []}
{"role": "volunteer", "content": "Let's write down our integral with limits.", "session_id": 17825, "sequence_id": 264, "annotations": []}
{"role": "student", "content": "ok", "session_id": 17825, "sequence_id": 265, "annotations": []}
{"role": "volunteer", "content": "You've got most of it right there.", "session_id": 17825, "sequence_id": 266, "annotations": []}
{"role": "student", "content": "ok got it", "session_id": 17825, "sequence_id": 267, "annotations": []}
{"role": "student", "content": "let me paste in my answer", "session_id": 17825, "sequence_id": 268, "annotations": []}
{"role": "student", "content": "i 200/3", "session_id": 17825, "sequence_id": 269, "annotations": []}
{"role": "volunteer", "content": "Let me calculate for a minute", "session_id": 17825, "sequence_id": 270, "annotations": []}
{"role": "student", "content": "ok", "session_id": 17825, "sequence_id": 271, "annotations": []}
{"role": "volunteer", "content": "You got it!", "session_id": 17825, "sequence_id": 272, "annotations": []}
{"role": "volunteer", "content": "That is correct.", "session_id": 17825, "sequence_id": 273, "annotations": []}
{"role": "student", "content": "yay!", "session_id": 17825, "sequence_id": 274, "annotations": []}
{"role": "student", "content": "i have one more and it seems easier than these", "session_id": 17825, "sequence_id": 275, "annotations": []}
{"role": "student", "content": "if that's okay", "session_id": 17825, "sequence_id": 276, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 17825, "sequence_id": 277, "annotations": []}
{"role": "volunteer", "content": "Let me read for a few", "session_id": 17825, "sequence_id": 278, "annotations": []}
{"role": "volunteer", "content": "Ok.  Have any thoughts?", "session_id": 17825, "sequence_id": 279, "annotations": []}
{"role": "volunteer", "content": "Great start", "session_id": 17825, "sequence_id": 280, "annotations": []}
{"role": "student", "content": "im stuck", "session_id": 17825, "sequence_id": 281, "annotations": []}
{"role": "volunteer", "content": "Too complicated", "session_id": 17825, "sequence_id": 282, "annotations": []}
{"role": "volunteer", "content": "Let's think about the representative squares.", "session_id": 17825, "sequence_id": 283, "annotations": []}
{"role": "student", "content": "ok", "session_id": 17825, "sequence_id": 284, "annotations": []}
{"role": "volunteer", "content": "Write me an equation for the line that connects the x and y axis.", "session_id": 17825, "sequence_id": 285, "annotations": []}
{"role": "volunteer", "content": "please", "session_id": 17825, "sequence_id": 286, "annotations": []}
{"role": "student", "content": "y=-x+5", "session_id": 17825, "sequence_id": 287, "annotations": []}
{"role": "volunteer", "content": "Super!", "session_id": 17825, "sequence_id": 288, "annotations": []}
{"role": "volunteer", "content": "Now.  Isn't true that y represents the side of the square we want?", "session_id": 17825, "sequence_id": 289, "annotations": []}
{"role": "volunteer", "content": "length", "session_id": 17825, "sequence_id": 290, "annotations": []}
{"role": "student", "content": "yes", "session_id": 17825, "sequence_id": 291, "annotations": []}
{"role": "volunteer", "content": "So,  isn't it true that the area of a representative square is simply y^2 = (5 - x)^2", "session_id": 17825, "sequence_id": 292, "annotations": []}
{"role": "student", "content": "so a(x)=(-x+5)^2?", "session_id": 17825, "sequence_id": 293, "annotations": []}
{"role": "volunteer", "content": "Indeed!", "session_id": 17825, "sequence_id": 294, "annotations": []}
{"role": "volunteer", "content": "What are my limits for x?", "session_id": 17825, "sequence_id": 295, "annotations": []}
{"role": "student", "content": "0 to 5", "session_id": 17825, "sequence_id": 296, "annotations": []}
{"role": "volunteer", "content": "Fantastic!!!!", "session_id": 17825, "sequence_id": 297, "annotations": []}
{"role": "volunteer", "content": "Crank it out my friend!", "session_id": 17825, "sequence_id": 298, "annotations": []}
{"role": "student", "content": "i got this :))", "session_id": 17825, "sequence_id": 299, "annotations": []}
{"role": "volunteer", "content": "Yes you do!!!  Great job. :)", "session_id": 17825, "sequence_id": 300, "annotations": []}
{"role": "student", "content": "thanks so much for explaining all of this with me :DD", "session_id": 17825, "sequence_id": 301, "annotations": []}
{"role": "student", "content": "This was my last question so I shall take a break now", "session_id": 17825, "sequence_id": 302, "annotations": []}
{"role": "volunteer", "content": "YOu are quite welcome and very deserving", "session_id": 17825, "sequence_id": 303, "annotations": []}
{"role": "student", "content": "have a nice rest of your day :))", "session_id": 17825, "sequence_id": 304, "annotations": []}
{"role": "volunteer", "content": "Bye", "session_id": 17825, "sequence_id": 305, "annotations": []}
{"role": "student", "content": "Hello! I need help with this.", "session_id": 17853, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "Hi Alex!", "session_id": 17853, "sequence_id": 1, "annotations": [{"pii_type": "PERSON", "surrogate": "Alex", "start": 3, "end": 7}]}
{"role": "student", "content": "Hi!", "session_id": 17853, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "I solved this a little but idk if this is correct", "session_id": 17853, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "Or if this is the correc way to solve", "session_id": 17853, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "for the 9%", "session_id": 17853, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "Because we are given the total interest, I think that we should combine the two accounts into one equation", "session_id": 17853, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "Oh it says \"each\"", "session_id": 17853, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "So I thought seperate", "session_id": 17853, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "That is a good point, but we want to solve the combined equation first and then we will get both parts", "session_id": 17853, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "Ok how would I do that then", "session_id": 17853, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "Let's start with the 9% account: We know that the 1 year interest will just be 0.09 times the amount invested", "session_id": 17853, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "What should we use instead of x for the 10% account", "session_id": 17853, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "0.1", "session_id": 17853, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "oh", "session_id": 17853, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "ummm", "session_id": 17853, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "b?", "session_id": 17853, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "Keep in mind that x and this must add to 15000", "session_id": 17853, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "ok", "session_id": 17853, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "we can actually use 15000 - x, because 15000 - x + x = 15000", "session_id": 17853, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "That way, we simplify the problem into only one variable", "session_id": 17853, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "And finally, what does this equation equal?", "session_id": 17853, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "1432", "session_id": 17853, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "perfect", "session_id": 17853, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "How should we solve this equation?", "session_id": 17853, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "distribute", "session_id": 17853, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "That is actually 1500 because we distribute the 0.1 to the 15000 as well", "session_id": 17853, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "o", "session_id": 17853, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "And that should equal because 1500-1432 is 68", "session_id": 17853, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "Nice job!", "session_id": 17853, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "So that is the amount invested in the 9% account. How should we find the amount for the 10% account?", "session_id": 17853, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "yep", "session_id": 17853, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "would we add that number into x?", "session_id": 17853, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "6800 is our x. There is something that we can do with substitution here", "session_id": 17853, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "hmmm", "session_id": 17853, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "oh", "session_id": 17853, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "put it in the parenthesis?", "session_id": 17853, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "6800-x?", "session_id": 17853, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "So close! We do use the 15000 - x. However, 6800 is our x value. So, the amount invested in the 10% account is 15000 - 6800", "session_id": 17853, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "Ohh I see", "session_id": 17853, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "8200", "session_id": 17853, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "Yes! 6800 was invested in the first account, 8200 was invested in the second account", "session_id": 17853, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "yep!", "session_id": 17853, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "I have another one that looks confusing", "session_id": 17853, "sequence_id": 43, "annotations": []}
{"role": "student", "content": "like i dont get it", "session_id": 17853, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "I think we will be able to do it :)", "session_id": 17853, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "it says \"find the union or intersection of the given intervals. Write the answers in interval notation.\"", "session_id": 17853, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "Ok! I always like to use a number line for tricky interval problems", "session_id": 17853, "sequence_id": 47, "annotations": []}
{"role": "student", "content": "ok", "session_id": 17853, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "Could you draw the first interval on the number line for me?", "session_id": 17853, "sequence_id": 49, "annotations": []}
{"role": "student", "content": "-5 and 3?", "session_id": 17853, "sequence_id": 50, "annotations": []}
{"role": "student", "content": "oh nvm its not negative", "session_id": 17853, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "they are already on the line", "session_id": 17853, "sequence_id": 52, "annotations": []}
{"role": "student", "content": "5 and 3", "session_id": 17853, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "I will show you what I mean", "session_id": 17853, "sequence_id": 54, "annotations": []}
{"role": "student", "content": "this?", "session_id": 17853, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "Just so we can see the interval", "session_id": 17853, "sequence_id": 56, "annotations": []}
{"role": "student", "content": "ok", "session_id": 17853, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "Now, it is a lot easier to see where these two intervals intersect!", "session_id": 17853, "sequence_id": 58, "annotations": []}
{"role": "student", "content": "why is one open and one closed like the circle", "session_id": 17853, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "We have an open circle at the 5 because, if you look at the interval, there is a parenthesis as a bracket. This means that the number 5 itself is not included in the interval", "session_id": 17853, "sequence_id": 60, "annotations": []}
{"role": "student", "content": "Ohh ok", "session_id": 17853, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "There is a closed circle at 3 because of the \"hard\" bracket in the interval in the question. This means that 3 is included", "session_id": 17853, "sequence_id": 62, "annotations": []}
{"role": "student", "content": "let me write this on my paper", "session_id": 17853, "sequence_id": 63, "annotations": []}
{"role": "student", "content": "so 3 is closed 5 is open", "session_id": 17853, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "Yes", "session_id": 17853, "sequence_id": 65, "annotations": []}
{"role": "student", "content": "ok", "session_id": 17853, "sequence_id": 66, "annotations": []}
{"role": "student", "content": "oh bc 3 has bracket and 5 has parenthesis ok gotcha", "session_id": 17853, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "Right", "session_id": 17853, "sequence_id": 68, "annotations": []}
{"role": "student", "content": "ok now what do we do next", "session_id": 17853, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "Now that we have the intervals lined up on the number line, we just need to find where they overlap", "session_id": 17853, "sequence_id": 70, "annotations": []}
{"role": "student", "content": "at 3", "session_id": 17853, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "Yes. And where does the overlap end?", "session_id": 17853, "sequence_id": 72, "annotations": []}
{"role": "student", "content": "it ends at 5?", "session_id": 17853, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "Exactly. Is 5 included in the overlap?", "session_id": 17853, "sequence_id": 74, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 17853, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "It actually isn't because of the open circle on the first interval", "session_id": 17853, "sequence_id": 76, "annotations": []}
{"role": "student", "content": "oh so 5 starts it off", "session_id": 17853, "sequence_id": 77, "annotations": []}
{"role": "student", "content": "gotcha", "session_id": 17853, "sequence_id": 78, "annotations": []}
{"role": "student", "content": "oh nvm", "session_id": 17853, "sequence_id": 79, "annotations": []}
{"role": "student", "content": "no", "session_id": 17853, "sequence_id": 80, "annotations": []}
{"role": "student", "content": "5 is overlapping 3", "session_id": 17853, "sequence_id": 81, "annotations": []}
{"role": "volunteer", "content": "The overlap goes from 3 to 5, but 5 is not included", "session_id": 17853, "sequence_id": 82, "annotations": []}
{"role": "student", "content": "oh", "session_id": 17853, "sequence_id": 83, "annotations": []}
{"role": "student", "content": "why", "session_id": 17853, "sequence_id": 84, "annotations": []}
{"role": "volunteer", "content": "As you drew on the line, the overlap only happens where the two intervals are on top of each other. We know that 3 is included, and that the numbers between 3 and 5 are included.", "session_id": 17853, "sequence_id": 85, "annotations": []}
{"role": "volunteer", "content": "However, 5 is not included because, while the second interval includes it, the first one does not (because of the open circle). To be in the overlap, both intervals have to include 5 which the first one doesn't", "session_id": 17853, "sequence_id": 86, "annotations": []}
{"role": "student", "content": "Ok I see", "session_id": 17853, "sequence_id": 87, "annotations": []}
{"role": "student", "content": "so the overlap ends at 5 because that\u2019s where the two intervals stop overlapping?", "session_id": 17853, "sequence_id": 88, "annotations": []}
{"role": "student", "content": "this is why 5 is not included?", "session_id": 17853, "sequence_id": 89, "annotations": []}
{"role": "volunteer", "content": "For it to be overlapping, both intervals have to include a point. They don't overlap at 5 because of the open circle (the first interval doesn't include 5)", "session_id": 17853, "sequence_id": 90, "annotations": []}
{"role": "student", "content": "yeah so 3 starts it and it ends at 5?", "session_id": 17853, "sequence_id": 91, "annotations": []}
{"role": "volunteer", "content": "Yes, and 3 is included and 5 is not", "session_id": 17853, "sequence_id": 92, "annotations": []}
{"role": "student", "content": "yep got it", "session_id": 17853, "sequence_id": 93, "annotations": []}
{"role": "student", "content": "so it should be written as [3,5)", "session_id": 17853, "sequence_id": 94, "annotations": []}
{"role": "student", "content": "?", "session_id": 17853, "sequence_id": 95, "annotations": []}
{"role": "volunteer", "content": "This is actually problem 87b*", "session_id": 17853, "sequence_id": 96, "annotations": []}
{"role": "volunteer", "content": "Exactlu!", "session_id": 17853, "sequence_id": 97, "annotations": []}
{"role": "student", "content": "i thought we were doing the first one", "session_id": 17853, "sequence_id": 98, "annotations": []}
{"role": "student", "content": "bc im writing this on paper in order to turn in", "session_id": 17853, "sequence_id": 99, "annotations": []}
{"role": "student", "content": "let me just erase it rq", "session_id": 17853, "sequence_id": 100, "annotations": []}
{"role": "volunteer", "content": "I missed a detail with the symbols they gave (union vs intersection", "session_id": 17853, "sequence_id": 101, "annotations": []}
{"role": "volunteer", "content": "The problems aren't very different, so you can keep the two interval lines on the number line", "session_id": 17853, "sequence_id": 102, "annotations": []}
{"role": "volunteer", "content": "Sorry about that!", "session_id": 17853, "sequence_id": 103, "annotations": []}
{"role": "student", "content": "its ok i fixed it", "session_id": 17853, "sequence_id": 104, "annotations": []}
{"role": "student", "content": "what does the upside down U mean", "session_id": 17853, "sequence_id": 105, "annotations": []}
{"role": "volunteer", "content": "That means the intersection between the two intervals, which is the problem that we did", "session_id": 17853, "sequence_id": 106, "annotations": []}
{"role": "student", "content": "Ok", "session_id": 17853, "sequence_id": 107, "annotations": []}
{"role": "student", "content": "now for A", "session_id": 17853, "sequence_id": 108, "annotations": []}
{"role": "volunteer", "content": "Problem a wants the union between the two intervals", "session_id": 17853, "sequence_id": 109, "annotations": []}
{"role": "student", "content": "ok", "session_id": 17853, "sequence_id": 110, "annotations": []}
{"role": "student", "content": "lets start", "session_id": 17853, "sequence_id": 111, "annotations": []}
{"role": "volunteer", "content": "What do you think we should do to find the union between the two intervals?", "session_id": 17853, "sequence_id": 112, "annotations": []}
{"role": "student", "content": "draw the lines again?", "session_id": 17853, "sequence_id": 113, "annotations": []}
{"role": "volunteer", "content": "Yep. Now the union means that we essentially combine the two intervals into one.", "session_id": 17853, "sequence_id": 114, "annotations": []}
{"role": "volunteer", "content": "We use the word \"or\" to describe unions, and \"and\" to describe intersection", "session_id": 17853, "sequence_id": 115, "annotations": []}
{"role": "volunteer", "content": "So the answer will be the interval of all points contained in either interval", "session_id": 17853, "sequence_id": 116, "annotations": []}
{"role": "student", "content": "ok", "session_id": 17853, "sequence_id": 117, "annotations": []}
{"role": "student", "content": "would it be 3,5 again or?", "session_id": 17853, "sequence_id": 118, "annotations": []}
{"role": "student", "content": "?", "session_id": 17853, "sequence_id": 119, "annotations": []}
{"role": "volunteer", "content": "Here, we can use the number line and want to find points that are not included in either interval.", "session_id": 17853, "sequence_id": 120, "annotations": []}
{"role": "volunteer", "content": "Are there any points that aren't in either interval?", "session_id": 17853, "sequence_id": 121, "annotations": []}
{"role": "student", "content": "uhhh 12", "session_id": 17853, "sequence_id": 122, "annotations": []}
{"role": "student", "content": "67", "session_id": 17853, "sequence_id": 123, "annotations": []}
{"role": "student", "content": "1,2,6,7", "session_id": 17853, "sequence_id": 124, "annotations": []}
{"role": "student", "content": "4 is included", "session_id": 17853, "sequence_id": 125, "annotations": []}
{"role": "volunteer", "content": "That would be correct for intersection. For union, we want to find points that aren't in EITHER. For example, 1 and 2 are included in the first interval. So, they are fine", "session_id": 17853, "sequence_id": 126, "annotations": []}
{"role": "student", "content": "let me redraw my line", "session_id": 17853, "sequence_id": 127, "annotations": []}
{"role": "student", "content": "a lot of numbers are included", "session_id": 17853, "sequence_id": 128, "annotations": []}
{"role": "volunteer", "content": "Yes. Are there any numbers not included?", "session_id": 17853, "sequence_id": 129, "annotations": []}
{"role": "volunteer", "content": "Let's try putting the intervals together to visualize this scenario better", "session_id": 17853, "sequence_id": 130, "annotations": []}
{"role": "student", "content": "ok", "session_id": 17853, "sequence_id": 131, "annotations": []}
{"role": "student", "content": "its like 1-10 are included", "session_id": 17853, "sequence_id": 132, "annotations": []}
{"role": "volunteer", "content": "Actually, everything is included from -infinity to infinity.", "session_id": 17853, "sequence_id": 133, "annotations": []}
{"role": "volunteer", "content": "The combined line never ends. The only interesting point is 5 because of the open circle. However, we only need one interval to include 5, which the second one does", "session_id": 17853, "sequence_id": 134, "annotations": []}
{"role": "student", "content": "ohh yeah", "session_id": 17853, "sequence_id": 135, "annotations": []}
{"role": "volunteer", "content": "I am glad that makes sense! Union is a very difficult concept to understand. Nice job with it!", "session_id": 17853, "sequence_id": 136, "annotations": []}
{"role": "student", "content": "Wait so", "session_id": 17853, "sequence_id": 137, "annotations": []}
{"role": "student", "content": "I'm still confused bc idk what the answer is like", "session_id": 17853, "sequence_id": 138, "annotations": []}
{"role": "student", "content": "is it 3,5 again?", "session_id": 17853, "sequence_id": 139, "annotations": []}
{"role": "volunteer", "content": "So because the combined line never ends (all points are included in the union), the interval is (-\u221e,\u221e)", "session_id": 17853, "sequence_id": 140, "annotations": []}
{"role": "student", "content": "ok", "session_id": 17853, "sequence_id": 141, "annotations": []}
{"role": "volunteer", "content": "Does that make sense?", "session_id": 17853, "sequence_id": 142, "annotations": []}
{"role": "student", "content": "so for the steps we", "session_id": 17853, "sequence_id": 143, "annotations": []}
{"role": "student", "content": "combine the two intervals into one?", "session_id": 17853, "sequence_id": 144, "annotations": []}
{"role": "volunteer", "content": "Yes, that is a great way to look at it", "session_id": 17853, "sequence_id": 145, "annotations": []}
{"role": "student", "content": "step 2. see if any numbers are not included in the line", "session_id": 17853, "sequence_id": 146, "annotations": []}
{"role": "volunteer", "content": "Yep, and the answer is the interval of numbers which ARE on the line", "session_id": 17853, "sequence_id": 147, "annotations": []}
{"role": "student", "content": "step 3 every # is included", "session_id": 17853, "sequence_id": 148, "annotations": []}
{"role": "volunteer", "content": "For this problem, all numbers are included", "session_id": 17853, "sequence_id": 149, "annotations": []}
{"role": "student", "content": "yep", "session_id": 17853, "sequence_id": 150, "annotations": []}
{"role": "student", "content": "i have one more left", "session_id": 17853, "sequence_id": 151, "annotations": []}
{"role": "student", "content": "if you Ben have time", "session_id": 17853, "sequence_id": 152, "annotations": [{"pii_type": "PERSON", "surrogate": "Ben", "start": 7, "end": 10}]}
{"role": "volunteer", "content": "Of course!", "session_id": 17853, "sequence_id": 153, "annotations": []}
{"role": "student", "content": "ok", "session_id": 17853, "sequence_id": 154, "annotations": []}
{"role": "student", "content": "lets work on A first", "session_id": 17853, "sequence_id": 155, "annotations": []}
{"role": "volunteer", "content": "Sounds good! Do you want to try to draw the intervals on the number line for this one?", "session_id": 17853, "sequence_id": 156, "annotations": []}
{"role": "student", "content": "sure", "session_id": 17853, "sequence_id": 157, "annotations": []}
{"role": "student", "content": "done", "session_id": 17853, "sequence_id": 158, "annotations": []}
{"role": "volunteer", "content": "The second interval should go to positive \u221e actually", "session_id": 17853, "sequence_id": 159, "annotations": []}
{"role": "student", "content": "-4?", "session_id": 17853, "sequence_id": 160, "annotations": []}
{"role": "student", "content": "oh i see", "session_id": 17853, "sequence_id": 161, "annotations": []}
{"role": "volunteer", "content": "from -4 to positive \u221e", "session_id": 17853, "sequence_id": 162, "annotations": []}
{"role": "student", "content": "so this way?", "session_id": 17853, "sequence_id": 163, "annotations": []}
{"role": "student", "content": "and closed circle?", "session_id": 17853, "sequence_id": 164, "annotations": []}
{"role": "volunteer", "content": "Yes", "session_id": 17853, "sequence_id": 165, "annotations": []}
{"role": "student", "content": "ok", "session_id": 17853, "sequence_id": 166, "annotations": []}
{"role": "volunteer", "content": "Now, this question is asking for union again. Try to solve it using our steps!", "session_id": 17853, "sequence_id": 167, "annotations": []}
{"role": "student", "content": "[-4,-1]", "session_id": 17853, "sequence_id": 168, "annotations": []}
{"role": "volunteer", "content": "That is correct, but that is for intersection which is problem b", "session_id": 17853, "sequence_id": 169, "annotations": []}
{"role": "student", "content": "ohhhh", "session_id": 17853, "sequence_id": 170, "annotations": []}
{"role": "student", "content": "so combine the intervals", "session_id": 17853, "sequence_id": 171, "annotations": []}
{"role": "student", "content": "into one", "session_id": 17853, "sequence_id": 172, "annotations": []}
{"role": "student", "content": "?", "session_id": 17853, "sequence_id": 173, "annotations": []}
{"role": "volunteer", "content": "yes, and then look to see if there are any places not covered by the line", "session_id": 17853, "sequence_id": 174, "annotations": []}
{"role": "student", "content": "kk", "session_id": 17853, "sequence_id": 175, "annotations": []}
{"role": "student", "content": "all covered", "session_id": 17853, "sequence_id": 176, "annotations": []}
{"role": "student", "content": "so negative infinity, positive infiny", "session_id": 17853, "sequence_id": 177, "annotations": []}
{"role": "volunteer", "content": "exactlu!", "session_id": 17853, "sequence_id": 178, "annotations": []}
{"role": "student", "content": "and thats it?", "session_id": 17853, "sequence_id": 179, "annotations": []}
{"role": "student", "content": "for a?", "session_id": 17853, "sequence_id": 180, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 17853, "sequence_id": 181, "annotations": []}
{"role": "student", "content": "now B", "session_id": 17853, "sequence_id": 182, "annotations": []}
{"role": "volunteer", "content": "For b, we look at the overlap, which you correctly said was the interval [-4,-1].", "session_id": 17853, "sequence_id": 183, "annotations": []}
{"role": "student", "content": "find where they overlap", "session_id": 17853, "sequence_id": 184, "annotations": []}
{"role": "student", "content": "mhm", "session_id": 17853, "sequence_id": 185, "annotations": []}
{"role": "student", "content": "starts at -4 ends at -1?", "session_id": 17853, "sequence_id": 186, "annotations": []}
{"role": "student", "content": "?", "session_id": 17853, "sequence_id": 187, "annotations": []}
{"role": "volunteer", "content": "Yes", "session_id": 17853, "sequence_id": 188, "annotations": []}
{"role": "student", "content": "thanks so much for your help! :)", "session_id": 17853, "sequence_id": 189, "annotations": []}
{"role": "volunteer", "content": "Of course, great job with that material!", "session_id": 17853, "sequence_id": 190, "annotations": []}
{"role": "volunteer", "content": "Hi, how can I help you today?", "session_id": 17835, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "hi!", "session_id": 17835, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "I need help with this one problem", "session_id": 17835, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "Great!", "session_id": 17835, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "What's confusing to you?", "session_id": 17835, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "everything", "session_id": 17835, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "Ok, let's see if we can find a starting point!", "session_id": 17835, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "Are these two images part of the same question?", "session_id": 17835, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "yes", "session_id": 17835, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "Okay, let's start by defining the question", "session_id": 17835, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "What is the problem asking?", "session_id": 17835, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "to find the angles of m<a, m<B, and m<C", "session_id": 17835, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "and to round our answers to one decimal place", "session_id": 17835, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "Okay, and we have all the side lengths", "session_id": 17835, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "Sorry, do you mind if I ask what the dropdown menu says on the first image>", "session_id": 17835, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "?", "session_id": 17835, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "oh yea", "session_id": 17835, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "Law of Cosine or Law of Sine", "session_id": 17835, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "Ok! Can you tell me the difference between sine and cosine?", "session_id": 17835, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "If you can't, that's okay, we'll go over it together!", "session_id": 17835, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "I got it", "session_id": 17835, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "I'm typing them rn", "session_id": 17835, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "Sounds good!", "session_id": 17835, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "Sine (0) = opposite/ hypotenouse", "session_id": 17835, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "Cosine (0)= adjacent/ hypotenuse", "session_id": 17835, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "Ok, those are perfect!", "session_id": 17835, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "I'm a little confused because the triangle in the picture doesn't have a right angle, so it wouldn't have a hypotenuse", "session_id": 17835, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "We can't use either theorem because there isn't a hypotenuse", "session_id": 17835, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "could we use Pythagoras", "session_id": 17835, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "The trigonometric functions only work on right triangles!", "session_id": 17835, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "oh", "session_id": 17835, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "So sine, cosine, tangent, etc, don't work unless there's a right angle", "session_id": 17835, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "I'm not sure what your teacher wants us to do here, did they ever bring up triangles with no right angle?", "session_id": 17835, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "no", "session_id": 17835, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "I'm doing geometry online through University of Phoenix", "session_id": 17835, "sequence_id": 34, "annotations": [{"pii_type": "SCHOOL", "surrogate": "University of Phoenix", "start": 34, "end": 55}]}
{"role": "volunteer", "content": "Hmm", "session_id": 17835, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "You said the first and second images are part of the same question?", "session_id": 17835, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "yes", "session_id": 17835, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "Then I think the answer is going to have to be no solutions", "session_id": 17835, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "ok", "session_id": 17835, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "Wait, actually, hold on one minute!", "session_id": 17835, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "ok", "session_id": 17835, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "Okay, I was mistaken about the Law of Cosines, sorry!", "session_id": 17835, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "The law states:", "session_id": 17835, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "a^2 = b^2 + c^2 - 2bc * cos(A)", "session_id": 17835, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "b^2 = a^2 + c^2 - 2ac * cos(B)", "session_id": 17835, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "ok", "session_id": 17835, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "c^2 = a^2 + b^2 - 2ab * cos(c)", "session_id": 17835, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "I'm going to insert an image to help visualize it!", "session_id": 17835, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "ok", "session_id": 17835, "sequence_id": 49, "annotations": []}
{"role": "student", "content": "I see it", "session_id": 17835, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "Ok!", "session_id": 17835, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "Does it make sense to you?", "session_id": 17835, "sequence_id": 52, "annotations": []}
{"role": "student", "content": "yes", "session_id": 17835, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "So for the first question, you can say we'll be using the law of cosines", "session_id": 17835, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "Then to find the angles!", "session_id": 17835, "sequence_id": 55, "annotations": []}
{"role": "student", "content": "ok", "session_id": 17835, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "Can you try plugging m<A into the formula?", "session_id": 17835, "sequence_id": 57, "annotations": []}
{"role": "student", "content": "um sure", "session_id": 17835, "sequence_id": 58, "annotations": []}
{"role": "student", "content": "15^2 = 15^2 + 17^2 ?", "session_id": 17835, "sequence_id": 59, "annotations": []}
{"role": "student", "content": "I don't know if that's even correct", "session_id": 17835, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "To make it easier, I'm going to show how the angles and sides on your triangle align to the one in the picture, because it's really difficult to tell right now", "session_id": 17835, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "And then we can do it together!", "session_id": 17835, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "I'm just going to rotate your triangle so it looks like the one in the picture", "session_id": 17835, "sequence_id": 63, "annotations": []}
{"role": "student", "content": "well doesn't 14 in line with B on the picture and  15 in with a and 17 in with c", "session_id": 17835, "sequence_id": 64, "annotations": []}
{"role": "student", "content": "oh I was way off", "session_id": 17835, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "Haha, I hope this picture helps a little!", "session_id": 17835, "sequence_id": 66, "annotations": []}
{"role": "student", "content": "it does for sure", "session_id": 17835, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "So now, do you want to try plugging in again?", "session_id": 17835, "sequence_id": 68, "annotations": []}
{"role": "student", "content": "yea", "session_id": 17835, "sequence_id": 69, "annotations": []}
{"role": "student", "content": "17^2= 15^2 + 14^2 - 2(15*14) * cos (A)?", "session_id": 17835, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "Ok, perfect!", "session_id": 17835, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "Now, let's use a calculator to multiply out all the squares and do the multiplication!", "session_id": 17835, "sequence_id": 72, "annotations": []}
{"role": "student", "content": "ok", "session_id": 17835, "sequence_id": 73, "annotations": []}
{"role": "student", "content": "17^2 = 289", "session_id": 17835, "sequence_id": 74, "annotations": []}
{"role": "student", "content": "15^2= 225", "session_id": 17835, "sequence_id": 75, "annotations": []}
{"role": "student", "content": "14^2=196", "session_id": 17835, "sequence_id": 76, "annotations": []}
{"role": "student", "content": "so that would", "session_id": 17835, "sequence_id": 77, "annotations": []}
{"role": "student", "content": "289 = 225 + 196 - 2( 15*14) * cos(A)", "session_id": 17835, "sequence_id": 78, "annotations": []}
{"role": "student", "content": "is that right", "session_id": 17835, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "Hold on! I'm so sorry, I gave you the regular Law of Cosines. Since we only have the three sides, we have to reformulate that into an equation I'll write on the screen. All that work is correct and we'll still be using it!", "session_id": 17835, "sequence_id": 80, "annotations": []}
{"role": "student", "content": "ok", "session_id": 17835, "sequence_id": 81, "annotations": []}
{"role": "volunteer", "content": "This is in order to find the cosines that we need to insert into the equation!", "session_id": 17835, "sequence_id": 82, "annotations": []}
{"role": "student", "content": "oh ok", "session_id": 17835, "sequence_id": 83, "annotations": []}
{"role": "volunteer", "content": "So your work is still correct", "session_id": 17835, "sequence_id": 84, "annotations": []}
{"role": "volunteer", "content": "But now we need to calculate cos(A) to put it in the equation", "session_id": 17835, "sequence_id": 85, "annotations": []}
{"role": "student", "content": "so Cos ( C) = 17^2 + 15^2 - 14^2/ 2(17*15)", "session_id": 17835, "sequence_id": 86, "annotations": []}
{"role": "volunteer", "content": "you originally wrote 17^2 = 15^2 + 14^2 - 2(15*14)*cos(A)", "session_id": 17835, "sequence_id": 87, "annotations": []}
{"role": "volunteer", "content": "And that was correct, there no need to change it!", "session_id": 17835, "sequence_id": 88, "annotations": []}
{"role": "student", "content": "oh", "session_id": 17835, "sequence_id": 89, "annotations": []}
{"role": "volunteer", "content": "But using these new equations, we can find cos(A) to substitute it into that equation", "session_id": 17835, "sequence_id": 90, "annotations": []}
{"role": "student", "content": "so then I can continue solving it then", "session_id": 17835, "sequence_id": 91, "annotations": []}
{"role": "volunteer", "content": "So now let's use the equation for cos (A)", "session_id": 17835, "sequence_id": 92, "annotations": []}
{"role": "volunteer", "content": "yes!", "session_id": 17835, "sequence_id": 93, "annotations": []}
{"role": "volunteer", "content": "so cos(A) is (b^2 + c^2 - a^2)/2bc", "session_id": 17835, "sequence_id": 94, "annotations": []}
{"role": "volunteer", "content": "or (225+196-289)/2(210)", "session_id": 17835, "sequence_id": 95, "annotations": []}
{"role": "volunteer", "content": "does that make sense?", "session_id": 17835, "sequence_id": 96, "annotations": []}
{"role": "student", "content": "yes", "session_id": 17835, "sequence_id": 97, "annotations": []}
{"role": "volunteer", "content": "Can you finish doing that out, please?", "session_id": 17835, "sequence_id": 98, "annotations": []}
{"role": "student", "content": "sure", "session_id": 17835, "sequence_id": 99, "annotations": []}
{"role": "student", "content": "I need to solve ( 225+196-289)/1(210)? or  the other one", "session_id": 17835, "sequence_id": 100, "annotations": []}
{"role": "volunteer", "content": "Sorry, yes, please solve that equation you just wrote", "session_id": 17835, "sequence_id": 101, "annotations": []}
{"role": "volunteer", "content": "That equation will give you cos(A), which you can then plug into the first equation", "session_id": 17835, "sequence_id": 102, "annotations": []}
{"role": "student", "content": "ok, just double checking", "session_id": 17835, "sequence_id": 103, "annotations": []}
{"role": "volunteer", "content": "Sure!", "session_id": 17835, "sequence_id": 104, "annotations": []}
{"role": "student", "content": "11/35", "session_id": 17835, "sequence_id": 105, "annotations": []}
{"role": "volunteer", "content": "Perfect job, amazing work!", "session_id": 17835, "sequence_id": 106, "annotations": []}
{"role": "student", "content": "yay", "session_id": 17835, "sequence_id": 107, "annotations": []}
{"role": "volunteer", "content": "Now, we plug that into the earlier equation", "session_id": 17835, "sequence_id": 108, "annotations": []}
{"role": "volunteer", "content": "Wait, I'm so sorry, I have to go now, but I think you understand the problem, right?", "session_id": 17835, "sequence_id": 109, "annotations": []}
{"role": "student", "content": "yes thank u for ur help", "session_id": 17835, "sequence_id": 110, "annotations": []}
{"role": "volunteer", "content": "Ok, glad I could help! Good luck with the rest of your work!", "session_id": 17835, "sequence_id": 111, "annotations": []}
{"role": "volunteer", "content": "Hi!", "session_id": 17829, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "How are you doing?", "session_id": 17829, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "Fine", "session_id": 17829, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "Great!", "session_id": 17829, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "How can I help you?", "session_id": 17829, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "Need help with my assignment my problems have two variables and I have to solve for one", "session_id": 17829, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "Ok", "session_id": 17829, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "can you upload the question", "session_id": 17829, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "or copy and paste the question?", "session_id": 17829, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "Hello?", "session_id": 17829, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "Are you still there?", "session_id": 17829, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 17829, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "Ok", "session_id": 17829, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "20=5x+10y", "session_id": 17829, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "And I got 2-5x over 5 = y", "session_id": 17829, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "Am I correct?", "session_id": 17829, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "I'm going to solve it to check.", "session_id": 17829, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "Ok", "session_id": 17829, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "You done?", "session_id": 17829, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "Not yet", "session_id": 17829, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "Sorry", "session_id": 17829, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "Ok", "session_id": 17829, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "I wrote my answer on the board", "session_id": 17829, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "Ok", "session_id": 17829, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "So I forgot to simplify it", "session_id": 17829, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "Yea", "session_id": 17829, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "Ok", "session_id": 17829, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "So do you get the concept", "session_id": 17829, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "Or should I explain it.", "session_id": 17829, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "Yes I get the concept", "session_id": 17829, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "Thank you", "session_id": 17829, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "Thats awesome!", "session_id": 17829, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "Do you need help with any other questions or topics?", "session_id": 17829, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "No not right now", "session_id": 17829, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "Ok.", "session_id": 17829, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "Bye", "session_id": 17829, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "Bye", "session_id": 17829, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "Have a great day!", "session_id": 17829, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "Hello", "session_id": 17893, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "Hi! What do you need help with?", "session_id": 17893, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "Um", "session_id": 17893, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "I need help with it's, uh, like comparing real numbers.", "session_id": 17893, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "I have a question. So if you want me to write it down, I can.", "session_id": 17893, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "yeah you can write it on the board and we can work through it together", "session_id": 17893, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "OK, just give me one second to write it down.", "session_id": 17893, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 17893, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "OK, there, I wrote it down", "session_id": 17893, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "and it's kind of like you have to compare the numbers.", "session_id": 17893, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "what does the number on the right say? I'm having trouble reading it", "session_id": 17893, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "sorry", "session_id": 17893, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "It's hard to write on this thing.", "session_id": 17893, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "I'll write it, um, cleaner.", "session_id": 17893, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "no worries", "session_id": 17893, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "is that better?", "session_id": 17893, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "yep thanks", "session_id": 17893, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "No problem", "session_id": 17893, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "how did you go about figuring this out?", "session_id": 17893, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "Um, so what", "session_id": 17893, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "I get of it is", "session_id": 17893, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "the 10", "session_id": 17893, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "I don't think you can like.", "session_id": 17893, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "change how it is.", "session_id": 17893, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "and then", "session_id": 17893, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "for the fraction", "session_id": 17893, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "I don't know what you would do.", "session_id": 17893, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "I think I need help with all of it, more or less.", "session_id": 17893, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "are you allowed to use a calculator to see what the square root of 10 is?", "session_id": 17893, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "Um, so for some parts were allowed to use a calculator, but like on our notes it tells us like what the perfect squares are.", "session_id": 17893, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "but on the list it doesn't show that 10 is up there.", "session_id": 17893, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "yeah the square root of 10 isn't a perfect square, so it would be easy to figure out what it is by using a calculator", "session_id": 17893, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "ok", "session_id": 17893, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "So", "session_id": 17893, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "like I was trying to think of it in my head and", "session_id": 17893, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "I'm going to real quick write it down.", "session_id": 17893, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "You can't go any farther with 5 and 2 and the only other factor pair that like can get you to 10 is 1 times 10.", "session_id": 17893, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "thats a good strategy to simplify the radical but we want to know the exact value of the square root of 10", "session_id": 17893, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "OK, so how do we do that?", "session_id": 17893, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "do you have a calculator near by? if so, you can plug it into the calc", "session_id": 17893, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "you'll get a decimal if you do so", "session_id": 17893, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "Yeah, I have a calculator.", "session_id": 17893, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "Oh, how?", "session_id": 17893, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "do you want me to put it in?", "session_id": 17893, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "are you using a hand held calc or an online one?", "session_id": 17893, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "And", "session_id": 17893, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "hand heled", "session_id": 17893, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "right", "session_id": 17893, "sequence_id": 47, "annotations": []}
{"role": "student", "content": "right.", "session_id": 17893, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "I'm going to pull up an online calc so I can show how to put it in", "session_id": 17893, "sequence_id": 49, "annotations": []}
{"role": "student", "content": "ok", "session_id": 17893, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "the website that I'm going to use is called desmos scientific calc if you want to follow along", "session_id": 17893, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "ok", "session_id": 17893, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "can you see my screen on the board?", "session_id": 17893, "sequence_id": 53, "annotations": []}
{"role": "student", "content": "yes", "session_id": 17893, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "ok so you see the second button beneath main tab?", "session_id": 17893, "sequence_id": 55, "annotations": []}
{"role": "student", "content": "yes", "session_id": 17893, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "that's your square root button", "session_id": 17893, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "and then type in 10 to get your answer", "session_id": 17893, "sequence_id": 58, "annotations": []}
{"role": "student", "content": "okay", "session_id": 17893, "sequence_id": 59, "annotations": []}
{"role": "student", "content": "I put that in my handheld calculator.", "session_id": 17893, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "ok great", "session_id": 17893, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "so the square root of 10 is about 3.16", "session_id": 17893, "sequence_id": 62, "annotations": []}
{"role": "student", "content": "ye4p", "session_id": 17893, "sequence_id": 63, "annotations": []}
{"role": "student", "content": "Makes sense", "session_id": 17893, "sequence_id": 64, "annotations": []}
{"role": "student", "content": "So now do we turn the fraction into a decimal.", "session_id": 17893, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "yep do you know how to do that?", "session_id": 17893, "sequence_id": 66, "annotations": []}
{"role": "student", "content": "I'm going to try and I'll do it on the screen.", "session_id": 17893, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "alright sounds good", "session_id": 17893, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "great job so far!", "session_id": 17893, "sequence_id": 69, "annotations": []}
{"role": "student", "content": "ty", "session_id": 17893, "sequence_id": 70, "annotations": []}
{"role": "student", "content": "So would I finished there?", "session_id": 17893, "sequence_id": 71, "annotations": []}
{"role": "student", "content": "Oh yes", "session_id": 17893, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "yeah perfect", "session_id": 17893, "sequence_id": 73, "annotations": []}
{"role": "student", "content": "So now we can pare them.", "session_id": 17893, "sequence_id": 74, "annotations": []}
{"role": "student", "content": "Compare them, question mark.", "session_id": 17893, "sequence_id": 75, "annotations": []}
{"role": "student", "content": "Hm", "session_id": 17893, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "yeah exactly", "session_id": 17893, "sequence_id": 77, "annotations": []}
{"role": "student", "content": "OK", "session_id": 17893, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "you're close", "session_id": 17893, "sequence_id": 79, "annotations": []}
{"role": "student", "content": "Is it the opposite way", "session_id": 17893, "sequence_id": 80, "annotations": []}
{"role": "student", "content": "If so", "session_id": 17893, "sequence_id": 81, "annotations": []}
{"role": "volunteer", "content": "yeah", "session_id": 17893, "sequence_id": 82, "annotations": []}
{"role": "student", "content": "why would that be? Because I would think 16 is bigger than 6.", "session_id": 17893, "sequence_id": 83, "annotations": []}
{"role": "volunteer", "content": "3.6 is the same as 3.60", "session_id": 17893, "sequence_id": 84, "annotations": []}
{"role": "student", "content": "go", "session_id": 17893, "sequence_id": 85, "annotations": []}
{"role": "student", "content": "Oh, OK. Cause you would add a 0.", "session_id": 17893, "sequence_id": 86, "annotations": []}
{"role": "volunteer", "content": "yeah also 6 is bigger than 1", "session_id": 17893, "sequence_id": 87, "annotations": []}
{"role": "volunteer", "content": "does that make sense?", "session_id": 17893, "sequence_id": 88, "annotations": []}
{"role": "student", "content": "Oh yeah", "session_id": 17893, "sequence_id": 89, "annotations": []}
{"role": "student", "content": "that makes a lot more sense. Thank you.", "session_id": 17893, "sequence_id": 90, "annotations": []}
{"role": "volunteer", "content": "no problem", "session_id": 17893, "sequence_id": 91, "annotations": []}
{"role": "volunteer", "content": "is there anything else you need help with?", "session_id": 17893, "sequence_id": 92, "annotations": []}
{"role": "student", "content": "I think that's it", "session_id": 17893, "sequence_id": 93, "annotations": []}
{"role": "student", "content": "Thank you", "session_id": 17893, "sequence_id": 94, "annotations": []}
{"role": "student", "content": "Have a good day", "session_id": 17893, "sequence_id": 95, "annotations": []}
{"role": "volunteer", "content": "you're welcome", "session_id": 17893, "sequence_id": 96, "annotations": []}
{"role": "volunteer", "content": "you too", "session_id": 17893, "sequence_id": 97, "annotations": []}
{"role": "volunteer", "content": "Hello!", "session_id": 17904, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "hi", "session_id": 17904, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "Hello", "session_id": 17904, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "question", "session_id": 17904, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "right now", "session_id": 17904, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "do that", "session_id": 17904, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "I need help comparing real numbers", "session_id": 17904, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "ok great!", "session_id": 17904, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "Can you hear me when I talk?", "session_id": 17904, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "yes sorry", "session_id": 17904, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "How do I show you what problems I NEED HELP WITH?", "session_id": 17904, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "do I draw it?", "session_id": 17904, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "you can draw it on the whiteboard type it in the chat or screenshot it and but the screenshot on the whiteboard", "session_id": 17904, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "this is a fun problem", "session_id": 17904, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "the best way to do it would be to estimate squaroot 13", "session_id": 17904, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "Be it up with it right now.", "session_id": 17904, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 17904, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "Did you do that?", "session_id": 17904, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "so root 9 is 3 and root 16 is 4", "session_id": 17904, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "I don't know how to estimate the square root", "session_id": 17904, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "so it is somewhere between 3 and 4", "session_id": 17904, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "OK", "session_id": 17904, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "between the", "session_id": 17904, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "16 is 4", "session_id": 17904, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "times 3 times", "session_id": 17904, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "3", "session_id": 17904, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "pi is 3.14 so it is also between 3 and 4", "session_id": 17904, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "we can manually square 3.14 and see if the result is bigger or smaller than 13", "session_id": 17904, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "so find 3.14 times 3.14", "session_id": 17904, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "I don't understand how to do the first part", "session_id": 17904, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "oh ok we are just finding between which integers the squareroot of 13", "session_id": 17904, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "so we know that the sqaroot of 9 is 3", "session_id": 17904, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "and the squareroot of 16 is 4", "session_id": 17904, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "because 13 is between 9 and 16", "session_id": 17904, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "This is too confusing", "session_id": 17904, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "we know that the squareroot of 13 is between 3 and 4", "session_id": 17904, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "You know the square root of 9 and 16 but I don't", "session_id": 17904, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "oh, ok", "session_id": 17904, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "so the square root of something means what times itself is that something", "session_id": 17904, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "3 times 3 is what?", "session_id": 17904, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "9", "session_id": 17904, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "therefore the squareroot of 9 is 3", "session_id": 17904, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "because 3 times 3 is nine", "session_id": 17904, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "so try and guess what the square root of 4 is", "session_id": 17904, "sequence_id": 43, "annotations": []}
{"role": "student", "content": "2", "session_id": 17904, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "good!", "session_id": 17904, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "and guess what squareroot 16 is", "session_id": 17904, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "4", "session_id": 17904, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "good, look at the board", "session_id": 17904, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "there isn't anything on the board", "session_id": 17904, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "try scrolling down", "session_id": 17904, "sequence_id": 50, "annotations": []}
{"role": "student", "content": "thanks", "session_id": 17904, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "does this diagram makes sense", "session_id": 17904, "sequence_id": 52, "annotations": []}
{"role": "student", "content": "so its like inbetween", "session_id": 17904, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "exactly", "session_id": 17904, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "and brobably about 3.5", "session_id": 17904, "sequence_id": 55, "annotations": []}
{"role": "student", "content": "so would my answer be greater than, lesss than or equal", "session_id": 17904, "sequence_id": 56, "annotations": []}
{"role": "student", "content": "?", "session_id": 17904, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "because it is halfway between 9 and 16", "session_id": 17904, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "well you tell me", "session_id": 17904, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "is 3.5 greater than less than or equal to 3.14", "session_id": 17904, "sequence_id": 60, "annotations": []}
{"role": "student", "content": "then I think it's greater than", "session_id": 17904, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "Yep!", "session_id": 17904, "sequence_id": 62, "annotations": []}
{"role": "student", "content": "this is the next one", "session_id": 17904, "sequence_id": 63, "annotations": []}
{"role": "student", "content": "I think I need to change the % to a number or decimal but I don't know how", "session_id": 17904, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "percent is super easy to change to a decimal, 25% equals .25", "session_id": 17904, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "1% equals .01", "session_id": 17904, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "100% equals 1", "session_id": 17904, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "good!", "session_id": 17904, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "now do long division to find 4/7", "session_id": 17904, "sequence_id": 69, "annotations": []}
{"role": "student", "content": "so move it over two places", "session_id": 17904, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "yeah, .55 is correct", "session_id": 17904, "sequence_id": 71, "annotations": []}
{"role": "student", "content": "so it is equal?", "session_id": 17904, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "no", "session_id": 17904, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "you did the division wrong", "session_id": 17904, "sequence_id": 74, "annotations": []}
{"role": "student", "content": "I will try again", "session_id": 17904, "sequence_id": 75, "annotations": []}
{"role": "student", "content": "do I stop now?", "session_id": 17904, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "yeah", "session_id": 17904, "sequence_id": 77, "annotations": []}
{"role": "student", "content": "how do you know when to stop?", "session_id": 17904, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "when you have enough digits to tell which one is bigger", "session_id": 17904, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "so now you know that .55 is less than .57", "session_id": 17904, "sequence_id": 80, "annotations": []}
{"role": "student", "content": "ohh", "session_id": 17904, "sequence_id": 81, "annotations": []}
{"role": "student", "content": "So 0.57", "session_id": 17904, "sequence_id": 82, "annotations": []}
{"role": "student", "content": "is bigger", "session_id": 17904, "sequence_id": 83, "annotations": []}
{"role": "student", "content": "?", "session_id": 17904, "sequence_id": 84, "annotations": []}
{"role": "volunteer", "content": "umm, yeah", "session_id": 17904, "sequence_id": 85, "annotations": []}
{"role": "volunteer", "content": "its the same of 55 and 57", "session_id": 17904, "sequence_id": 86, "annotations": []}
{"role": "volunteer", "content": "of which 57 is bigger", "session_id": 17904, "sequence_id": 87, "annotations": []}
{"role": "student", "content": "ok", "session_id": 17904, "sequence_id": 88, "annotations": []}
{"role": "student", "content": "Give me a second", "session_id": 17904, "sequence_id": 89, "annotations": []}
{"role": "student", "content": "to get the next problem", "session_id": 17904, "sequence_id": 90, "annotations": []}
{"role": "student", "content": "Maya!!", "session_id": 17904, "sequence_id": 91, "annotations": [{"pii_type": "PERSON", "surrogate": "Maya", "start": 0, "end": 4}]}
{"role": "volunteer", "content": "Hi Olivia", "session_id": 17910, "sequence_id": 0, "annotations": [{"pii_type": "PERSON", "surrogate": "Olivia", "start": 3, "end": 9}]}
{"role": "student", "content": "\nHi can you check my answer to this problem?", "session_id": 17910, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "OK.", "session_id": 17910, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "I'm reading...", "session_id": 17910, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "Checking your result...", "session_id": 17910, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "Your result is correct, but you can simplify it.", "session_id": 17910, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "?", "session_id": 17910, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "You can divide top and bottom by 3.", "session_id": 17910, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "Anything else I can help you with?", "session_id": 17910, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "Are you still there", "session_id": 17910, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "Yes.", "session_id": 17910, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "Can you read the chat?", "session_id": 17910, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "Looks like you're away. Maybe you're having wifi connection problems? I'll end the session to help others. You can always make another request.", "session_id": 17910, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "ok ai", "session_id": 17949, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "-76-102 solve it with no calculator", "session_id": 17949, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "Hi I am a human tutor", "session_id": 17949, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "Let me show you the steps give me a minute please", "session_id": 17949, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "oh I was talking to that bot", "session_id": 17949, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "lol", "session_id": 17949, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "Oh no problem lol", "session_id": 17949, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "can i show the steps on the whiteboard", "session_id": 17949, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "yes pls", "session_id": 17949, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "Can you see the steps", "session_id": 17949, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "I have shown all the work", "session_id": 17949, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "If you don't understand anything please let me know", "session_id": 17949, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "Hi Are you in the session currently", "session_id": 17949, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "where did it go?", "session_id": 17949, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "i have no idea", "session_id": 17949, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "its back", "session_id": 17949, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "yay", "session_id": 17949, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "I hope you can see the steps with the explanation.", "session_id": 17949, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "Please feel free ti let me know if you have any questions.", "session_id": 17949, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "Okay thank you Mr. Smith for the help", "session_id": 17949, "sequence_id": 19, "annotations": [{"pii_type": "PERSON", "surrogate": "Mr. Smith", "start": 15, "end": 24}]}
{"role": "volunteer", "content": "bye", "session_id": 17949, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "any more questions", "session_id": 17949, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "can i end the session", "session_id": 17949, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "yes", "session_id": 17949, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "hope u have fun with algebra 1", "session_id": 17949, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "hi", "session_id": 18021, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "can we use mics today?", "session_id": 18021, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "Yeah, sure. Hi, how are you?", "session_id": 18021, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "Good, how are you", "session_id": 18021, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "I'm good, thank you", "session_id": 18021, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "Um, was there anything or interested?", "session_id": 18021, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "or you need help on", "session_id": 18021, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "Just the basics.", "session_id": 18021, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "of in your math in general?", "session_id": 18021, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 18021, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "OK, do you like maybe tell me what you're learning in school right now.", "session_id": 18021, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "Um, like", "session_id": 18021, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "um, multiplying and dividing negatives and positives.", "session_id": 18021, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "Oh, OK. And then that's um like long division.", "session_id": 18021, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "or just like the rules of negative positives.", "session_id": 18021, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "Uh, just like the rules of negative fossils.", "session_id": 18021, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "Oh, OK. So what do you know?", "session_id": 18021, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "so far? Or what could you explain to me?", "session_id": 18021, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "Well", "session_id": 18021, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "I mean, I know how to like multiply and divide. uh", "session_id": 18021, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "Yeah.", "session_id": 18021, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "like,", "session_id": 18021, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "negatives and positives", "session_id": 18021, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 18021, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "Yeah.", "session_id": 18021, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "And you just want more practice?", "session_id": 18021, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "OK, so do you have any practice problems we could work on or should I maybe phantom.", "session_id": 18021, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "Um, could you find some?", "session_id": 18021, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "Yeah, yeah, sure.", "session_id": 18021, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "Just give me a second", "session_id": 18021, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "Our complex is the math you're doing in school right now? Is it just like", "session_id": 18021, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "Um", "session_id": 18021, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "80 divided by -8?", "session_id": 18021, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "That's harder than that", "session_id": 18021, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "So like algebra.", "session_id": 18021, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "do you have like variables?", "session_id": 18021, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 18021, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "So you need help with algebra.", "session_id": 18021, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "I'm also, like I'm also starting to learn like pre-algebra.", "session_id": 18021, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "Oh, OK, OK", "session_id": 18021, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "All right, hold on", "session_id": 18021, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "OK. Do you see the problem I've put on the um whiteboard.", "session_id": 18021, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "Uh, yeah, I'm looking for it.", "session_id": 18021, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "It's ready to go. Oh, it's right here.", "session_id": 18021, "sequence_id": 43, "annotations": []}
{"role": "student", "content": "Um", "session_id": 18021, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "Do you think you could solve that", "session_id": 18021, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "OK", "session_id": 18021, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "And then double one, actually you can.", "session_id": 18021, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "Do you need help getting started?", "session_id": 18021, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "No", "session_id": 18021, "sequence_id": 49, "annotations": []}
{"role": "student", "content": "Hang on", "session_id": 18021, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "OK.", "session_id": 18021, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "Can you see what I'm like doing?", "session_id": 18021, "sequence_id": 52, "annotations": []}
{"role": "student", "content": "OK", "session_id": 18021, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "Oh yeah, I see it. OK. It's, yeah, it's just a little sorry.", "session_id": 18021, "sequence_id": 54, "annotations": []}
{"role": "student", "content": "So X equals -1.", "session_id": 18021, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "Um", "session_id": 18021, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "wait, I can't see your work here", "session_id": 18021, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "Oh, OK, I see. All right.", "session_id": 18021, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "I'm just gonna move this.", "session_id": 18021, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "OK, so", "session_id": 18021, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "when you have", "session_id": 18021, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "when you're moving, um, a number from one side to the other, what are you trying to do?", "session_id": 18021, "sequence_id": 62, "annotations": []}
{"role": "student", "content": "What", "session_id": 18021, "sequence_id": 63, "annotations": []}
{"role": "student", "content": "Oh wait", "session_id": 18021, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "It's like, um, you have negative", "session_id": 18021, "sequence_id": 65, "annotations": []}
{"role": "student", "content": "There's a line in between there", "session_id": 18021, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "OK. Um, but like", "session_id": 18021, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "when you're trying to move, let's say -6.", "session_id": 18021, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "from the right side to the left side", "session_id": 18021, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "How would you go about doing that?", "session_id": 18021, "sequence_id": 70, "annotations": []}
{"role": "student", "content": "Oh, no, because um", "session_id": 18021, "sequence_id": 71, "annotations": []}
{"role": "student", "content": "I, um, took away two X and then the answer was -6, cause that's what was left.", "session_id": 18021, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "OK, so then for the -2,", "session_id": 18021, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "so you subtracted -2 from each side.", "session_id": 18021, "sequence_id": 74, "annotations": []}
{"role": "student", "content": "No, I subtracted to X.", "session_id": 18021, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "But OK, so when you do this, what you're essentially doing is", "session_id": 18021, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "you do it, you have negative 2 X, right?", "session_id": 18021, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "Oops.", "session_id": 18021, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "And then you subtracting to x.", "session_id": 18021, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "So what does this give you?", "session_id": 18021, "sequence_id": 80, "annotations": []}
{"role": "student", "content": "What", "session_id": 18021, "sequence_id": 81, "annotations": []}
{"role": "volunteer", "content": "OK. Here, do you see this?", "session_id": 18021, "sequence_id": 82, "annotations": []}
{"role": "volunteer", "content": "OK, so right here", "session_id": 18021, "sequence_id": 83, "annotations": []}
{"role": "volunteer", "content": "you had -2 X on the right side.", "session_id": 18021, "sequence_id": 84, "annotations": []}
{"role": "volunteer", "content": "and you're trying to get rid of kind of the negative to X, correct?", "session_id": 18021, "sequence_id": 85, "annotations": []}
{"role": "student", "content": "hold on", "session_id": 18021, "sequence_id": 86, "annotations": []}
{"role": "volunteer", "content": "Yeah, OK", "session_id": 18021, "sequence_id": 87, "annotations": []}
{"role": "student", "content": "OK, sorry. So", "session_id": 18021, "sequence_id": 88, "annotations": []}
{"role": "student", "content": "when I did -2 X, I meant to do a plus 2 X.", "session_id": 18021, "sequence_id": 89, "annotations": []}
{"role": "volunteer", "content": "OK, yeah. So you add 2 eggs to each side.", "session_id": 18021, "sequence_id": 90, "annotations": []}
{"role": "student", "content": "Yeah, so", "session_id": 18021, "sequence_id": 91, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 18021, "sequence_id": 92, "annotations": []}
{"role": "volunteer", "content": "Um, so on the right-hand side, negative 2 x + 2 x becomes 0, yeah, and you're left with -6. That's correct. And then on the um on the left side.", "session_id": 18021, "sequence_id": 93, "annotations": []}
{"role": "volunteer", "content": "on the left side here, you have Adex and then you're adding 2 eggs.", "session_id": 18021, "sequence_id": 94, "annotations": []}
{"role": "volunteer", "content": "What does that give you?", "session_id": 18021, "sequence_id": 95, "annotations": []}
{"role": "student", "content": "What", "session_id": 18021, "sequence_id": 96, "annotations": []}
{"role": "volunteer", "content": "OK, so you have 8X on the side. You're adding two to both sides, right?", "session_id": 18021, "sequence_id": 97, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 18021, "sequence_id": 98, "annotations": []}
{"role": "volunteer", "content": "OK, so on, uh, OK, so on the left side you have Adex, and then you're adding", "session_id": 18021, "sequence_id": 99, "annotations": []}
{"role": "volunteer", "content": "2 more eggs", "session_id": 18021, "sequence_id": 100, "annotations": []}
{"role": "volunteer", "content": "What do you have in total on the left side.", "session_id": 18021, "sequence_id": 101, "annotations": []}
{"role": "student", "content": "Tenex", "session_id": 18021, "sequence_id": 102, "annotations": []}
{"role": "volunteer", "content": "Yeah.", "session_id": 18021, "sequence_id": 103, "annotations": []}
{"role": "student", "content": "Wait, I can't edit it. Why isn't it letting me? Oh, there we go.", "session_id": 18021, "sequence_id": 104, "annotations": []}
{"role": "student", "content": "And then that would just be it, that would be divided by 1 or 10, and this would be just divided by 10.", "session_id": 18021, "sequence_id": 105, "annotations": []}
{"role": "student", "content": "Then the answer isn't that.", "session_id": 18021, "sequence_id": 106, "annotations": []}
{"role": "student", "content": "that would be", "session_id": 18021, "sequence_id": 107, "annotations": []}
{"role": "student", "content": "that would be 0.6. So yeah, there we go. The X equals 0.6.", "session_id": 18021, "sequence_id": 108, "annotations": []}
{"role": "volunteer", "content": "OK, and 0 0.6 or positive?", "session_id": 18021, "sequence_id": 109, "annotations": []}
{"role": "student", "content": "0.6.", "session_id": 18021, "sequence_id": 110, "annotations": []}
{"role": "volunteer", "content": "Yeah.", "session_id": 18021, "sequence_id": 111, "annotations": []}
{"role": "volunteer", "content": "Is this the level of math you're doing, or is it like too easy, too hard?", "session_id": 18021, "sequence_id": 112, "annotations": []}
{"role": "student", "content": "Uh, that's like the level of math undoing.", "session_id": 18021, "sequence_id": 113, "annotations": []}
{"role": "volunteer", "content": "OK, so is this helpful or do you want to do something else?", "session_id": 18021, "sequence_id": 114, "annotations": []}
{"role": "student", "content": "No, this is helpful", "session_id": 18021, "sequence_id": 115, "annotations": []}
{"role": "volunteer", "content": "OK, so you wanna do more like this?", "session_id": 18021, "sequence_id": 116, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 18021, "sequence_id": 117, "annotations": []}
{"role": "volunteer", "content": "Yeah, all right, OK", "session_id": 18021, "sequence_id": 118, "annotations": []}
{"role": "volunteer", "content": "Um", "session_id": 18021, "sequence_id": 119, "annotations": []}
{"role": "volunteer", "content": "OK. I'll just make one up", "session_id": 18021, "sequence_id": 120, "annotations": []}
{"role": "volunteer", "content": "Is it easier if we use the whiteboard for you instead of typing it, cause I think you said it was hard to edit.", "session_id": 18021, "sequence_id": 121, "annotations": []}
{"role": "student", "content": "No, that was only because uh my computer was lacking up.", "session_id": 18021, "sequence_id": 122, "annotations": []}
{"role": "volunteer", "content": "Oh OK", "session_id": 18021, "sequence_id": 123, "annotations": []}
{"role": "volunteer", "content": "Um hm.", "session_id": 18021, "sequence_id": 124, "annotations": []}
{"role": "student", "content": "Oh", "session_id": 18021, "sequence_id": 125, "annotations": []}
{"role": "student", "content": "it's fine. We can just use the right, uh, the whiteboard if it's like easier.", "session_id": 18021, "sequence_id": 126, "annotations": []}
{"role": "volunteer", "content": "That's it, do you see the problem", "session_id": 18021, "sequence_id": 127, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 18021, "sequence_id": 128, "annotations": []}
{"role": "volunteer", "content": "OK.", "session_id": 18021, "sequence_id": 129, "annotations": []}
{"role": "volunteer", "content": "Do you wanna try it", "session_id": 18021, "sequence_id": 130, "annotations": []}
{"role": "student", "content": "Um, yeah.", "session_id": 18021, "sequence_id": 131, "annotations": []}
{"role": "student", "content": "OK, so", "session_id": 18021, "sequence_id": 132, "annotations": []}
{"role": "student", "content": "So we would", "session_id": 18021, "sequence_id": 133, "annotations": []}
{"role": "student", "content": "not", "session_id": 18021, "sequence_id": 134, "annotations": []}
{"role": "student", "content": "each side", "session_id": 18021, "sequence_id": 135, "annotations": []}
{"role": "student", "content": "oh", "session_id": 18021, "sequence_id": 136, "annotations": []}
{"role": "student", "content": "Uh-huh", "session_id": 18021, "sequence_id": 137, "annotations": []}
{"role": "student", "content": "So that would be sniff 7 next.", "session_id": 18021, "sequence_id": 138, "annotations": []}
{"role": "student", "content": "Um", "session_id": 18021, "sequence_id": 139, "annotations": []}
{"role": "student", "content": "2X minus 9 would be", "session_id": 18021, "sequence_id": 140, "annotations": []}
{"role": "student", "content": "would be me.", "session_id": 18021, "sequence_id": 141, "annotations": []}
{"role": "student", "content": "they can't", "session_id": 18021, "sequence_id": 142, "annotations": []}
{"role": "volunteer", "content": "When you subtract numbers,", "session_id": 18021, "sequence_id": 143, "annotations": []}
{"role": "volunteer", "content": "they have to be like terms", "session_id": 18021, "sequence_id": 144, "annotations": []}
{"role": "volunteer", "content": "right?", "session_id": 18021, "sequence_id": 145, "annotations": []}
{"role": "student", "content": "yeah, um, yeah.", "session_id": 18021, "sequence_id": 146, "annotations": []}
{"role": "student", "content": "I managed the wrong number.", "session_id": 18021, "sequence_id": 147, "annotations": []}
{"role": "student", "content": "Whoops, you, um, I really like.", "session_id": 18021, "sequence_id": 148, "annotations": []}
{"role": "student", "content": "Oh, could you like rewrite the problem, please.", "session_id": 18021, "sequence_id": 149, "annotations": []}
{"role": "volunteer", "content": "Oh yeah", "session_id": 18021, "sequence_id": 150, "annotations": []}
{"role": "volunteer", "content": "OK, do you see it", "session_id": 18021, "sequence_id": 151, "annotations": []}
{"role": "student", "content": "Um, where? Oh, there.", "session_id": 18021, "sequence_id": 152, "annotations": []}
{"role": "student", "content": "Hm, yeah, I see it", "session_id": 18021, "sequence_id": 153, "annotations": []}
{"role": "student", "content": "A little back to down.", "session_id": 18021, "sequence_id": 154, "annotations": []}
{"role": "student", "content": "for", "session_id": 18021, "sequence_id": 155, "annotations": []}
{"role": "student", "content": "Wait, I'm sorry.", "session_id": 18021, "sequence_id": 156, "annotations": []}
{"role": "student", "content": "Good ****. Ow sorry. Why did you hit me?", "session_id": 18021, "sequence_id": 157, "annotations": []}
{"role": "student", "content": "Yeah, I think it", "session_id": 18021, "sequence_id": 158, "annotations": []}
{"role": "student", "content": "OK, um, I, I think I have to go.", "session_id": 18021, "sequence_id": 159, "annotations": []}
{"role": "volunteer", "content": "Oh, all right", "session_id": 18021, "sequence_id": 160, "annotations": []}
{"role": "volunteer", "content": "OK. I hope this was helpful.", "session_id": 18021, "sequence_id": 161, "annotations": []}
{"role": "student", "content": "It was", "session_id": 18021, "sequence_id": 162, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 18021, "sequence_id": 163, "annotations": []}
{"role": "volunteer", "content": "All right, bye", "session_id": 18021, "sequence_id": 164, "annotations": []}
{"role": "student", "content": "OK", "session_id": 18021, "sequence_id": 165, "annotations": []}
{"role": "student", "content": "Hi", "session_id": 18048, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "Can you help me find the points on this graph? I see -2,2", "session_id": 18048, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "(-2,-2)", "session_id": 18048, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "but I can't find the one", "session_id": 18048, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "0,5didn't work", "session_id": 18048, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "Okay so do you know what quadrants are on a graph?", "session_id": 18048, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "Is this it?", "session_id": 18048, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "Not quite", "session_id": 18048, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "But that's okay", "session_id": 18048, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "Let's work through it", "session_id": 18048, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "ok tyy", "session_id": 18048, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "the boxes", "session_id": 18048, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "Do you know what quadrants are on a graph", "session_id": 18048, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "Yes! So do you know which boxes are negative and which ones are positive", "session_id": 18048, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "It's okay if you don't. Let's just refresh", "session_id": 18048, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "I think rising to the left is negative and falling to the right is negative but rising to thr right is positive?", "session_id": 18048, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "I think", "session_id": 18048, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "Yes! That's correct", "session_id": 18048, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "So quadrants go in a clockwise direction", "session_id": 18048, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "The first quadrant is on the upper right", "session_id": 18048, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "Then the second one is on the lower right, then the third one on the bottom left, and the 4th on the upper left", "session_id": 18048, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "Do you get this so far?", "session_id": 18048, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "yes", "session_id": 18048, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "right?", "session_id": 18048, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "Perfect job!", "session_id": 18048, "sequence_id": 24, "annotations": []}
{"role": "student", "content": ":)", "session_id": 18048, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "So quadrant 1 will have coordinates with a positive x and y value", "session_id": 18048, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "so is it that 1 and 2 are positive and 3 and 4 are negative", "session_id": 18048, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "ok", "session_id": 18048, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "So 1 and 2 have positive x -values", "session_id": 18048, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "But what about the y-values, do you think they are both positive?", "session_id": 18048, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "Idk", "session_id": 18048, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "Let me help you. For quadrant 2 the coordinates would look a little like this, (+ x-value, - y-value)", "session_id": 18048, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "Do you know where the x-axis and y-axis are?", "session_id": 18048, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "Good Job!", "session_id": 18048, "sequence_id": 34, "annotations": []}
{"role": "student", "content": ":)", "session_id": 18048, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "So when you go from top to bottom on the y- axis it goes from prositive(top0 to negative (bottom)", "session_id": 18048, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "yes", "session_id": 18048, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "So now do you think the 2nd quadrant will have positive or negative y values", "session_id": 18048, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "negative if its going clockwise right?", "session_id": 18048, "sequence_id": 39, "annotations": []}
{"role": "student", "content": ":/", "session_id": 18048, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "Exactly!", "session_id": 18048, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "", "session_id": 18048, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "We are looking for (-2,-2) correct?", "session_id": 18048, "sequence_id": 43, "annotations": []}
{"role": "student", "content": "im looking for  points", "session_id": 18048, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "i only found -2,-2", "session_id": 18048, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "Okay! So now let's follow the line above (-2, -2). Can you find another coordinate or point that goes through a number not a decimal?", "session_id": 18048, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "oh it can go through a number", "session_id": 18048, "sequence_id": 47, "annotations": []}
{"role": "student", "content": "-1,4", "session_id": 18048, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "I thought the points always had to be here.", "session_id": 18048, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "Yes my apologies, they do! I'll do better at explaining next time", "session_id": 18048, "sequence_id": 50, "annotations": []}
{"role": "student", "content": "Ok :)", "session_id": 18048, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "If you follow the line above (-2,-2) you can find another point that your line goes through. Let's try", "session_id": 18048, "sequence_id": 52, "annotations": []}
{"role": "student", "content": "ok", "session_id": 18048, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "So the line does not directly pass through any whole numbers on the graph except for (-2,-2) and one more point.", "session_id": 18048, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "Can you tell me which one?", "session_id": 18048, "sequence_id": 55, "annotations": []}
{"role": "student", "content": "I tried 0,5 but it didn't work for the slope", "session_id": 18048, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "Okay. Let's try again then", "session_id": 18048, "sequence_id": 57, "annotations": []}
{"role": "student", "content": "k :)", "session_id": 18048, "sequence_id": 58, "annotations": []}
{"role": "student", "content": "I will try it again too", "session_id": 18048, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "Can you write the formula for finding the slope down just to make sure your understanding the formula.", "session_id": 18048, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "Perfect!", "session_id": 18048, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "So far you equation is looking good!", "session_id": 18048, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "y = mx + b, does this look familiar?", "session_id": 18048, "sequence_id": 63, "annotations": []}
{"role": "student", "content": "TYYYY", "session_id": 18048, "sequence_id": 64, "annotations": []}
{"role": "student", "content": "Kinda", "session_id": 18048, "sequence_id": 65, "annotations": []}
{"role": "student", "content": "let me try", "session_id": 18048, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "Your so close!", "session_id": 18048, "sequence_id": 67, "annotations": []}
{"role": "student", "content": "hmmmm", "session_id": 18048, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "But pay attention to how the graph is labeled", "session_id": 18048, "sequence_id": 69, "annotations": []}
{"role": "student", "content": "i got it", "session_id": 18048, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "Would the y-intercept be 5?", "session_id": 18048, "sequence_id": 71, "annotations": []}
{"role": "student", "content": "yes", "session_id": 18048, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "Yes your correct and you fixed the negative! Nice job!", "session_id": 18048, "sequence_id": 73, "annotations": []}
{"role": "student", "content": "Yes! :)", "session_id": 18048, "sequence_id": 74, "annotations": []}
{"role": "volunteer", "content": "My apologies for the lag! I hope you were able to value this session!", "session_id": 18048, "sequence_id": 75, "annotations": []}
{"role": "student", "content": "I do vaule it. :)", "session_id": 18048, "sequence_id": 76, "annotations": []}
{"role": "student", "content": "Value*", "session_id": 18048, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "Unfortunately I can no longer stay on the session, but I hope I helped!", "session_id": 18048, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "hi how may i help you today", "session_id": 18071, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "Hello, I need a little help ty! Let me upload the assignment", "session_id": 18071, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "okayy", "session_id": 18071, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "I know how to find the slope but how would I write it in standard form", "session_id": 18071, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "can you make the pictures a little bigger pls", "session_id": 18071, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "so you need it in terms of y=2x+3?", "session_id": 18071, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "????", "session_id": 18071, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "hellooo???", "session_id": 18071, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "are you still here?", "session_id": 18071, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "Im here", "session_id": 18071, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "so do you need it in terms of y=2x+3", "session_id": 18071, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "I will log back in later", "session_id": 18071, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "okay as youw ish", "session_id": 18071, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "Hi Emma", "session_id": 18027, "sequence_id": 0, "annotations": [{"pii_type": "PERSON", "surrogate": "Emma", "start": 3, "end": 7}]}
{"role": "volunteer", "content": "How can I help you", "session_id": 18027, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "How do you become a worker for this job", "session_id": 18027, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "Like can you be more specific?", "session_id": 18027, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "How can you get the tourer job ", "session_id": 18027, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "Like tutor for math.", "session_id": 18027, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "Ye", "session_id": 18027, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "For this app", "session_id": 18027, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "So for that you need to be good at math and see how far you want to be to work on specific math job title.", "session_id": 18027, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "For this the role needed is completely voluntary", "session_id": 18027, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "This is not paid", "session_id": 18027, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "You will just have to sign up like always", "session_id": 18027, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "What jobs pay", "session_id": 18027, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "And then try to explain if you are prehighschool graduate", "session_id": 18027, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "Do u know", "session_id": 18027, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "Employment based you would want to look out for ones that pay back.", "session_id": 18027, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "Like TutoringWorks", "session_id": 18027, "sequence_id": 16, "annotations": [{"pii_type": "SCHOOL", "surrogate": "TutoringWorks", "start": 5, "end": 18}]}
{"role": "student", "content": "Is that a app", "session_id": 18027, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "Emma that is a good one.", "session_id": 18027, "sequence_id": 18, "annotations": [{"pii_type": "PERSON", "surrogate": "Emma", "start": 0, "end": 4}]}
{"role": "volunteer", "content": "That is onsite.", "session_id": 18027, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "You would have to take the test and pass.", "session_id": 18027, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "What do I type in ", "session_id": 18027, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "But that is one example.", "session_id": 18027, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "Just google search and try to search for the job of your interest.", "session_id": 18027, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "Does this make sense are we good here?", "session_id": 18027, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "Mr. Lee good bye", "session_id": 18027, "sequence_id": 25, "annotations": [{"pii_type": "PERSON", "surrogate": "Mr. Lee", "start": 0, "end": 7}]}
{"role": "student", "content": "hi", "session_id": 17986, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "how are you", "session_id": 17986, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "Hi Chloe", "session_id": 17986, "sequence_id": 2, "annotations": [{"pii_type": "PERSON", "surrogate": "Chloe", "start": 3, "end": 8}]}
{"role": "volunteer", "content": "I'm well, thanks! And you?", "session_id": 17986, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "im well", "session_id": 17986, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "im taking a screen shot of the promblem now", "session_id": 17986, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "Which question do you need help with?", "session_id": 17986, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "c", "session_id": 17986, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "the funtion one", "session_id": 17986, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "OK. Can you give me 5 minutes to solve, and then I'll explain?", "session_id": 17986, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "ok", "session_id": 17986, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "We can start. Have you learned about geometric series?", "session_id": 17986, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "yeah so long ago", "session_id": 17986, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "We can solve it in two steps. The first step is to see the \"pattern\" of the series. I'll write on the board.", "session_id": 17986, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "I'm writing below your upload. Do you see it?", "session_id": 17986, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "yes", "session_id": 17986, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "After the first dose, we have Q_1 = 500 mg, correct?", "session_id": 17986, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "yes", "session_id": 17986, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "And after the 2nd dose, we have Q_2 = 500 + 500(0.2).", "session_id": 17986, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "right", "session_id": 17986, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "The pattern continues. As you can see the \"500\" is multiplied by increasing powers of 0.2 as \"n\" increases.", "session_id": 17986, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "right", "session_id": 17986, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "Using Summation notation (\u03a3), we can write the geometric series as I've shown.", "session_id": 17986, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "The second step is to find the \"formula\" for the series.", "session_id": 17986, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "Can you find the formula for Qn ?", "session_id": 17986, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "i thought it was just qn=500(0.2)^k", "session_id": 17986, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "What you wrote is the \"kth\" term of the series, but not the sum.", "session_id": 17986, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "I can show you the general formula, and you can apply it to your problem if you like.", "session_id": 17986, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "ok", "session_id": 17986, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "Looking at the series, can you find what are a = ? and r = ?", "session_id": 17986, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "is r for rate", "session_id": 17986, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "Yes. r = 0.2", "session_id": 17986, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "The formula is correct. For example, if n=3, we have Q_3 = 500(0.2^3-1)/(0.2-1) = ?", "session_id": 17986, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "620?", "session_id": 17986, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "Exactly.", "session_id": 17986, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "So your formula works.", "session_id": 17986, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "whats this formula called?", "session_id": 17986, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "It's the formula for a \"geometric series\". You could also simplify it to read: Qn = 625*(1-0.2^n)", "session_id": 17986, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "so long term the amount of anitbotic that remains as n approaches infinity", "session_id": 17986, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "No. For question (d), to find the remaining amount in the long run, you calculate the limit of Qn as n\u2192\u221e. Can you find it?", "session_id": 17986, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "infinty", "session_id": 17986, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "Use the formula: Qn = 625*(1-0.2^n). As n\u2192\u221e, 0.2^n \u2192 0, correct?", "session_id": 17986, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "oh i just plugged in infiny for n", "session_id": 17986, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "I can show you on the board if you wish.", "session_id": 17986, "sequence_id": 43, "annotations": []}
{"role": "student", "content": "yes please", "session_id": 17986, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "Did you learn about \"limits\" ?", "session_id": 17986, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "yes", "session_id": 17986, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "anything to the infinty power", "session_id": 17986, "sequence_id": 47, "annotations": []}
{"role": "student", "content": "is o", "session_id": 17986, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "?", "session_id": 17986, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "Because 0.2 is less than 1, 0.2^n goes to zero as \"n\" goes to infinity. So (1-0.2^n) goes to \"1\".", "session_id": 17986, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "For example, if n=1, then 0.2^n = 0.2. If n = 10, then 0,2^10 = 0.0000001024.", "session_id": 17986, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "its going closer to zero", "session_id": 17986, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "Yes. And the final limit is: 625*(1-0) = ?", "session_id": 17986, "sequence_id": 53, "annotations": []}
{"role": "student", "content": "625", "session_id": 17986, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "Right.", "session_id": 17986, "sequence_id": 55, "annotations": []}
{"role": "student", "content": "thanks", "session_id": 17986, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "You're welcome. Is that all for today?", "session_id": 17986, "sequence_id": 57, "annotations": []}
{"role": "student", "content": "i have one more question", "session_id": 17986, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "OK.", "session_id": 17986, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "I need to step away for 3 minutes, and I'll be right back, OK?", "session_id": 17986, "sequence_id": 60, "annotations": []}
{"role": "student", "content": "ok", "session_id": 17986, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "I'm back. Can you give me 5 minutes to solve, and then I'll walk you through the solution?", "session_id": 17986, "sequence_id": 62, "annotations": []}
{"role": "student", "content": "ok", "session_id": 17986, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "We can start.", "session_id": 17986, "sequence_id": 64, "annotations": []}
{"role": "student", "content": "ok", "session_id": 17986, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "Let's say the original area is A_0 = 1, correct?", "session_id": 17986, "sequence_id": 66, "annotations": []}
{"role": "student", "content": "right", "session_id": 17986, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "I'll write below your upload.", "session_id": 17986, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "Now let's find the next area in the sequence, A_1. How much area is removed from A_0 ?", "session_id": 17986, "sequence_id": 69, "annotations": []}
{"role": "student", "content": "1/9", "session_id": 17986, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "Correct. 1/9 of the area is removed. So A_1 = ?", "session_id": 17986, "sequence_id": 71, "annotations": []}
{"role": "student", "content": "0.8889", "session_id": 17986, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "Yes. We'll write this as 8/9.", "session_id": 17986, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "Now look at the second carpet, circled in yellow. How much more area is removed from the previous carpet?", "session_id": 17986, "sequence_id": 74, "annotations": []}
{"role": "student", "content": "8 small squares", "session_id": 17986, "sequence_id": 75, "annotations": []}
{"role": "student", "content": "the center of", "session_id": 17986, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "Yes. We have 8 remaining squared (boxed in dark blue), and the center is 1/9 of it.", "session_id": 17986, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "So the area removed from A_1 is (8/9)*(1/9), correct?", "session_id": 17986, "sequence_id": 78, "annotations": []}
{"role": "student", "content": "right", "session_id": 17986, "sequence_id": 79, "annotations": []}
{"role": "student", "content": "8/81", "session_id": 17986, "sequence_id": 80, "annotations": []}
{"role": "volunteer", "content": "Now let's simplify a bit.", "session_id": 17986, "sequence_id": 81, "annotations": []}
{"role": "volunteer", "content": "We have 8/9 - 8/9^2. If we add the two fractions, the common denominator is 9^2, correct?", "session_id": 17986, "sequence_id": 82, "annotations": []}
{"role": "student", "content": "right", "session_id": 17986, "sequence_id": 83, "annotations": []}
{"role": "volunteer", "content": "So we can simplify A_2 = (8/9)^2.", "session_id": 17986, "sequence_id": 84, "annotations": []}
{"role": "volunteer", "content": "We have A_0 = (8/9)^0, A_1 = (8/9)^1 and A_2 = (8/9)^2. Do you see the pattern?", "session_id": 17986, "sequence_id": 85, "annotations": []}
{"role": "student", "content": "increase in exponet", "session_id": 17986, "sequence_id": 86, "annotations": []}
{"role": "volunteer", "content": "Exactly. In general, we have An = (8/9)^n.", "session_id": 17986, "sequence_id": 87, "annotations": []}
{"role": "volunteer", "content": "Is 8/9 less than or greater than 1 ?", "session_id": 17986, "sequence_id": 88, "annotations": []}
{"role": "student", "content": "less", "session_id": 17986, "sequence_id": 89, "annotations": []}
{"role": "volunteer", "content": "Right. So what is the limit of An as n\u2192\u221e ?", "session_id": 17986, "sequence_id": 90, "annotations": []}
{"role": "student", "content": "0", "session_id": 17986, "sequence_id": 91, "annotations": []}
{"role": "student", "content": "3", "session_id": 17986, "sequence_id": 92, "annotations": []}
{"role": "volunteer", "content": "Correct. For example, A_1 = 8/9 = 0.889, A_100 = (8/9)^100 = 0.00000000000.", "session_id": 17986, "sequence_id": 93, "annotations": []}
{"role": "volunteer", "content": "The limit is zero.", "session_id": 17986, "sequence_id": 94, "annotations": []}
{"role": "volunteer", "content": "This is not a geometric series. We have a limit of zero because (8/9)<1.", "session_id": 17986, "sequence_id": 95, "annotations": []}
{"role": "student", "content": "ok", "session_id": 17986, "sequence_id": 96, "annotations": []}
{"role": "student", "content": "its heading to zero", "session_id": 17986, "sequence_id": 97, "annotations": []}
{"role": "volunteer", "content": "That's right.", "session_id": 17986, "sequence_id": 98, "annotations": []}
{"role": "student", "content": "would you say any term less than one always heads to zero when the limit is going to infinty", "session_id": 17986, "sequence_id": 99, "annotations": []}
{"role": "volunteer", "content": "Yes. If you look at the limit of r^n as n\u2192\u221e, the limit is 0 if r<1 and the limit is \u221e if r>1.", "session_id": 17986, "sequence_id": 100, "annotations": []}
{"role": "student", "content": "right", "session_id": 17986, "sequence_id": 101, "annotations": []}
{"role": "student", "content": "are you a  math major?", "session_id": 17986, "sequence_id": 102, "annotations": []}
{"role": "volunteer", "content": "No. I'm an engineer who studied a lot of math!", "session_id": 17986, "sequence_id": 103, "annotations": []}
{"role": "student", "content": "i bet", "session_id": 17986, "sequence_id": 104, "annotations": []}
{"role": "student", "content": "thats basically all yall do", "session_id": 17986, "sequence_id": 105, "annotations": []}
{"role": "volunteer", "content": "A lot of math, and physics too.", "session_id": 17986, "sequence_id": 106, "annotations": []}
{"role": "volunteer", "content": "That's all the time I have. Any quick question before I go?", "session_id": 17986, "sequence_id": 107, "annotations": []}
{"role": "student", "content": "no thanks for the help", "session_id": 17986, "sequence_id": 108, "annotations": []}
{"role": "volunteer", "content": "You're welcome. We can end the session. Enjoy the rest of your day.", "session_id": 17986, "sequence_id": 109, "annotations": []}
{"role": "student", "content": "alright you too", "session_id": 17986, "sequence_id": 110, "annotations": []}
{"role": "student", "content": "bye", "session_id": 17986, "sequence_id": 111, "annotations": []}
{"role": "volunteer", "content": "Hi! How can I help you?", "session_id": 18064, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "hii could u recheck my answers and make sure i get a 100?", "session_id": 18064, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "Sure. Is this your homework?", "session_id": 18064, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "yes but can u garuntee me a 100 if we work on it together?", "session_id": 18064, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "I can\u2019t guarantee a 100, but I can definitely go over your answers with you and help explain anything that seems confusing. That way you\u2019ll understand the material really well, and your chances of doing great are much higher.", "session_id": 18064, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "ok.", "session_id": 18064, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "Ok so do you have an idea on how to approach this question?", "session_id": 18064, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "the answer i got for this was", "session_id": 18064, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "25.637", "session_id": 18064, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "25.63", "session_id": 18064, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "Ok, I got a bit of a different answer. But if you think about it logically do you think 25 makes sense relatively?", "session_id": 18064, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "Let's go step by step, what equation did you use?", "session_id": 18064, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "no it would be 26", "session_id": 18064, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "Ok, could you please explain what you did?", "session_id": 18064, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "Hey! I'm jsut asking so we can go through it.", "session_id": 18064, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "Hi Jamie, how are you?", "session_id": 18119, "sequence_id": 0, "annotations": [{"pii_type": "PERSON", "surrogate": "Jamie", "start": 3, "end": 8}]}
{"role": "student", "content": "good", "session_id": 18119, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "That's good! How can I help you?", "session_id": 18119, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "my homework", "session_id": 18119, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "Ok, what are you working on?", "session_id": 18119, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "math", "session_id": 18119, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "\\", "session_id": 18119, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "math", "session_id": 18119, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "Ok, can you be a little more specific please?", "session_id": 18119, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "What kind of math?", "session_id": 18119, "sequence_id": 9, "annotations": []}
{"role": "student", "content": ".rounding whole numbers  .estimating", "session_id": 18119, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "Ok, like rounding 9.7 to the nearest whole number?", "session_id": 18119, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "no not exactly", "session_id": 18119, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "its like round 4,587 to nearest thousand", "session_id": 18119, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "Ok, I can help with that", "session_id": 18119, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "Do you have any specific questions?", "session_id": 18119, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "What questions do you have on rounding?", "session_id": 18119, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "Or would you like to do some examples?", "session_id": 18119, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "no I have every rounding question done ?", "session_id": 18119, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "Awesome! Do you need help with anything else?", "session_id": 18119, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "no actuallyy", "session_id": 18119, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "but thank you", "session_id": 18119, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "Ok! In that case, feel free to end the session, and if you have any other questions, feel free to request for another one!", "session_id": 18119, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "ok", "session_id": 18119, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "Hi Maya!!", "session_id": 18098, "sequence_id": 0, "annotations": [{"pii_type": "PERSON", "surrogate": "Maya", "start": 3, "end": 7}]}
{"role": "volunteer", "content": "How can I help you today?", "session_id": 18098, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "Hey! I was wondering if you could check my answers, some questions are not answered and I was wondering if you could help me with them", "session_id": 18098, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "Yeah, we can do that", "session_id": 18098, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "Is it okay to share my screen with you?", "session_id": 18098, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "Of course", "session_id": 18098, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "Also you can add pictures on the whiteboard, if you would love to!!", "session_id": 18098, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "Can you see my screen?", "session_id": 18098, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "Yeah I can see, thank you for sharing your screen!!", "session_id": 18098, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "Okay!", "session_id": 18098, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "Can you please let me know if I made a mistake?", "session_id": 18098, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "Of course!!", "session_id": 18098, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "Thank you!", "session_id": 18098, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "I am glad to inform you that you have answered to all of the questions correclty (from 39 - 45)", "session_id": 18098, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "Is it okay for me to move on to the next page?", "session_id": 18098, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "Do you have any questions so far? I'll be happy to answer, if you have!!", "session_id": 18098, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "Yes it's totally okay to move on !!\ud83d\ude0a", "session_id": 18098, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "Ok so let's start of 46", "session_id": 18098, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "Do you have any ideas how can we solve this problem?", "session_id": 18098, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "If you are not sure just let me know, we will break this down together!!", "session_id": 18098, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "I'm not sure sorry", "session_id": 18098, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "You don't have to sorry, everything is fine, I am here to help you!!\ud83d\ude0a", "session_id": 18098, "sequence_id": 21, "annotations": []}
{"role": "student", "content": ":)", "session_id": 18098, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "okay so now I have a question!!", "session_id": 18098, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "Yea?", "session_id": 18098, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "ok so we have this information that y is a function of x, each output is half the corresponding input, and when the input is -2 the output is -1", "session_id": 18098, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "now, what do we have to find? Did you get the statement of the problem? Or do you have any questions about the problem?", "session_id": 18098, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "Hello?", "session_id": 18098, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "Are you still there?", "session_id": 18098, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "So You did absolutely correct, you have chosen the right coordinates based on the information provided, and drew the correct line!!", "session_id": 18098, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "But now I cannot see your screen", "session_id": 18098, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "Can you share that one more time, please?", "session_id": 18098, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "Yea I don't know what happened to my chromebook", "session_id": 18098, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "Of course!", "session_id": 18098, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "That's totally ok,", "session_id": 18098, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "Please go ahead and share your screen, take your time !!\ud83d\ude0a", "session_id": 18098, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "It won't let me share my screen", "session_id": 18098, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "Omg I don't know what's happening right now", "session_id": 18098, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "you can try to add the photos of your assignment", "session_id": 18098, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "Everything will be ok, don't worry, and which is important don't panic, I'm here to help", "session_id": 18098, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "I can see the screen!!", "session_id": 18098, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "That's great!!", "session_id": 18098, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "I uploaded the picture!", "session_id": 18098, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "So I'm happy to inform you that you have answered to 46th question correctly", "session_id": 18098, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "Do you have any questions about this problem?", "session_id": 18098, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "Or are there anything you would love to be explained?", "session_id": 18098, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "I have some more questions but I do understand this one thank you for asking :)", "session_id": 18098, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "Can you help me solve #47 please?", "session_id": 18098, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "Yeah now we will break this down together!!", "session_id": 18098, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "Okay!", "session_id": 18098, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "Would you like to draw a picture of that triangle?", "session_id": 18098, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "If you don't want to do that I am here to help and I can to that as well!!", "session_id": 18098, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "If you are not sure just let me know!!", "session_id": 18098, "sequence_id": 52, "annotations": []}
{"role": "student", "content": "Can you draw the triangle? I'm so sorry it cause right now I'm on my bed and it's gonna become crooked", "session_id": 18098, "sequence_id": 53, "annotations": []}
{"role": "student", "content": "It's 4:30 am here that's why", "session_id": 18098, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "That's totally fine, you don't have to be sorry, I am here to help!!", "session_id": 18098, "sequence_id": 55, "annotations": []}
{"role": "student", "content": "Thank you so much!", "session_id": 18098, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "I think it will be better if I draw than use already existing shapes!", "session_id": 18098, "sequence_id": 57, "annotations": []}
{"role": "student", "content": "It's okay take your time!", "session_id": 18098, "sequence_id": 58, "annotations": []}
{"role": "student", "content": "What's your zodiac sign?", "session_id": 18098, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "Gemini!!", "session_id": 18098, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "Thanks for asking!!", "session_id": 18098, "sequence_id": 61, "annotations": []}
{"role": "student", "content": "OMG me too!!", "session_id": 18098, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "Great happy to hear that!!", "session_id": 18098, "sequence_id": 63, "annotations": []}
{"role": "student", "content": "Wait stop I love Gems", "session_id": 18098, "sequence_id": 64, "annotations": []}
{"role": "student", "content": "June or May?", "session_id": 18098, "sequence_id": 65, "annotations": []}
{"role": "student", "content": "I'm June", "session_id": 18098, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "I love Gems too,", "session_id": 18098, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "I'm May", "session_id": 18098, "sequence_id": 68, "annotations": []}
{"role": "student", "content": "Ooo", "session_id": 18098, "sequence_id": 69, "annotations": []}
{"role": "student", "content": "Is it 4 am there too?", "session_id": 18098, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "No it is 12:31 pm", "session_id": 18098, "sequence_id": 71, "annotations": []}
{"role": "student", "content": "Oh", "session_id": 18098, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "Yeah I know", "session_id": 18098, "sequence_id": 73, "annotations": []}
{"role": "student", "content": "It's 4 am here", "session_id": 18098, "sequence_id": 74, "annotations": []}
{"role": "student", "content": "Do u like math?", "session_id": 18098, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "I like it a lot, I'm passionate about math", "session_id": 18098, "sequence_id": 76, "annotations": []}
{"role": "student", "content": "Ooo!", "session_id": 18098, "sequence_id": 77, "annotations": []}
{"role": "student", "content": "Ugh I wish I could feel the same about it", "session_id": 18098, "sequence_id": 78, "annotations": []}
{"role": "student", "content": "I'm terrible at math I only like it when I understand it", "session_id": 18098, "sequence_id": 79, "annotations": []}
{"role": "student", "content": "Wait omg have you watched Love Island?", "session_id": 18098, "sequence_id": 80, "annotations": []}
{"role": "student", "content": "I pick Noah", "session_id": 18098, "sequence_id": 81, "annotations": [{"pii_type": "PERSON", "surrogate": "Noah", "start": 7, "end": 11}]}
{"role": "volunteer", "content": "I used to hate it until I got involved in math olympiads, the way that I have discovered the real beauty of it", "session_id": 18098, "sequence_id": 82, "annotations": []}
{"role": "student", "content": "Omgg really??", "session_id": 18098, "sequence_id": 83, "annotations": []}
{"role": "student", "content": "Omgg and was it hard? Who got you into it?", "session_id": 18098, "sequence_id": 84, "annotations": []}
{"role": "volunteer", "content": "I haven't watched that, sorry, but I will", "session_id": 18098, "sequence_id": 85, "annotations": []}
{"role": "student", "content": "Omg you should its so good!", "session_id": 18098, "sequence_id": 86, "annotations": []}
{"role": "volunteer", "content": "I just started participating nationals and go to olympiad math clubs", "session_id": 18098, "sequence_id": 87, "annotations": []}
{"role": "student", "content": "At what age did you go to the math Olympics?", "session_id": 18098, "sequence_id": 88, "annotations": []}
{"role": "volunteer", "content": "I started pretty late, I was in tenth grade when the first time I took part in!", "session_id": 18098, "sequence_id": 89, "annotations": [{"pii_type": "GRADE_LEVEL", "surrogate": "tenth grade", "start": 32, "end": 43}]}
{"role": "student", "content": "Ooo", "session_id": 18098, "sequence_id": 90, "annotations": []}
{"role": "student", "content": "Wait what grade are you in now?", "session_id": 18098, "sequence_id": 91, "annotations": []}
{"role": "volunteer", "content": "Springfield Academy", "session_id": 18098, "sequence_id": 92, "annotations": [{"pii_type": "SCHOOL", "surrogate": "Springfield Academy", "start": 0, "end": 19}]}
{"role": "student", "content": "Major?", "session_id": 18098, "sequence_id": 93, "annotations": []}
{"role": "volunteer", "content": "yup", "session_id": 18098, "sequence_id": 94, "annotations": []}
{"role": "student", "content": "I was supposed to be a rising eleventh grader too but I wasn't born here and I had to do first grade again", "session_id": 18098, "sequence_id": 95, "annotations": [{"pii_type": "GRADE_LEVEL", "surrogate": "eleventh grader", "start": 30, "end": 45}]}
{"role": "volunteer", "content": "That's totally fine!! We have so much in common!!", "session_id": 18098, "sequence_id": 96, "annotations": []}
{"role": "student", "content": "Omg I know right?!!", "session_id": 18098, "sequence_id": 97, "annotations": []}
{"role": "student", "content": "What's your favorite series or music?", "session_id": 18098, "sequence_id": 98, "annotations": []}
{"role": "volunteer", "content": "Ok so do you mind if we go back to our problem, solve that cause I finished wrting about that, and we can take time and talk later, if you want to", "session_id": 18098, "sequence_id": 99, "annotations": []}
{"role": "student", "content": "Oh yea I'm sorry I usually get distracted and start talking", "session_id": 18098, "sequence_id": 100, "annotations": []}
{"role": "volunteer", "content": "That's fine!!", "session_id": 18098, "sequence_id": 101, "annotations": []}
{"role": "student", "content": "It happens everytime like my teacher has to move me but either way I'll still try to find a way to talk to the person next to me lol", "session_id": 18098, "sequence_id": 102, "annotations": []}
{"role": "volunteer", "content": "ok so do you know what is the meaning of area?", "session_id": 18098, "sequence_id": 103, "annotations": []}
{"role": "volunteer", "content": "That's totally fine, I'm here to help!!", "session_id": 18098, "sequence_id": 104, "annotations": []}
{"role": "student", "content": "Like 1/2?", "session_id": 18098, "sequence_id": 105, "annotations": []}
{"role": "student", "content": "And you have to add all the parts?", "session_id": 18098, "sequence_id": 106, "annotations": []}
{"role": "student", "content": "Base x Height?", "session_id": 18098, "sequence_id": 107, "annotations": []}
{"role": "volunteer", "content": "Almost ok so to be more certain, do you know what is the meaning of perimeter of a triangle?", "session_id": 18098, "sequence_id": 108, "annotations": []}
{"role": "volunteer", "content": "If you are not sure just let me know!!", "session_id": 18098, "sequence_id": 109, "annotations": []}
{"role": "student", "content": "Oh yes!", "session_id": 18098, "sequence_id": 110, "annotations": []}
{"role": "student", "content": "1/2 (Base x Height)", "session_id": 18098, "sequence_id": 111, "annotations": []}
{"role": "volunteer", "content": "Ok so that's the area of the triangle", "session_id": 18098, "sequence_id": 112, "annotations": []}
{"role": "student", "content": "Oh", "session_id": 18098, "sequence_id": 113, "annotations": []}
{"role": "volunteer", "content": "but the perimeter is the sum of the lengths of all the edges of the triangle!!", "session_id": 18098, "sequence_id": 114, "annotations": []}
{"role": "student", "content": "Ohhh!", "session_id": 18098, "sequence_id": 115, "annotations": []}
{"role": "volunteer", "content": "Do you have any questions about the perimeter so far?", "session_id": 18098, "sequence_id": 116, "annotations": []}
{"role": "student", "content": "I don't!", "session_id": 18098, "sequence_id": 117, "annotations": []}
{"role": "volunteer", "content": "We can do some practice problems to deepen your understanding", "session_id": 18098, "sequence_id": 118, "annotations": []}
{"role": "volunteer", "content": "If you want to!", "session_id": 18098, "sequence_id": 119, "annotations": []}
{"role": "student", "content": "Sure!", "session_id": 18098, "sequence_id": 120, "annotations": []}
{"role": "volunteer", "content": "ok so if we have a triangle ABC and know that AB=3 BC= 2 AC=4", "session_id": 18098, "sequence_id": 121, "annotations": []}
{"role": "volunteer", "content": "can you tell me what's the value of the perimeter of triangle ABC", "session_id": 18098, "sequence_id": 122, "annotations": []}
{"role": "volunteer", "content": "?", "session_id": 18098, "sequence_id": 123, "annotations": []}
{"role": "student", "content": "9?", "session_id": 18098, "sequence_id": 124, "annotations": []}
{"role": "volunteer", "content": "How did you get that?", "session_id": 18098, "sequence_id": 125, "annotations": []}
{"role": "volunteer", "content": "If you are not sure just let me know!!", "session_id": 18098, "sequence_id": 126, "annotations": []}
{"role": "student", "content": "I added 3 and 2 and 4", "session_id": 18098, "sequence_id": 127, "annotations": []}
{"role": "volunteer", "content": "correct", "session_id": 18098, "sequence_id": 128, "annotations": []}
{"role": "volunteer", "content": "so You get the idea I guess!", "session_id": 18098, "sequence_id": 129, "annotations": []}
{"role": "student", "content": "Yay!", "session_id": 18098, "sequence_id": 130, "annotations": []}
{"role": "volunteer", "content": "That awesome!!", "session_id": 18098, "sequence_id": 131, "annotations": []}
{"role": "volunteer", "content": "OK so now we have to look at the problem", "session_id": 18098, "sequence_id": 132, "annotations": []}
{"role": "volunteer", "content": "so is it okay if I named the length of EF as x ?", "session_id": 18098, "sequence_id": 133, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 18098, "sequence_id": 134, "annotations": []}
{"role": "volunteer", "content": "I mean that I have written that EF=x", "session_id": 18098, "sequence_id": 135, "annotations": []}
{"role": "volunteer", "content": "then we know that DE= 2EF = 2x", "session_id": 18098, "sequence_id": 136, "annotations": []}
{"role": "volunteer", "content": "Do you have any quesions about that", "session_id": 18098, "sequence_id": 137, "annotations": []}
{"role": "volunteer", "content": "?", "session_id": 18098, "sequence_id": 138, "annotations": []}
{"role": "student", "content": "Mane I'm so sorry but I am getting a bit sleepy since it's about to be 5 am here", "session_id": 18098, "sequence_id": 139, "annotations": []}
{"role": "volunteer", "content": "If you want I can explain it more detailed!!", "session_id": 18098, "sequence_id": 140, "annotations": []}
{"role": "student", "content": "Is it okay if I can come back later and work with you?", "session_id": 18098, "sequence_id": 141, "annotations": []}
{"role": "volunteer", "content": "Yeah that's fine, Go and sleep and come back later!!", "session_id": 18098, "sequence_id": 142, "annotations": []}
{"role": "student", "content": "Also one question is sophmore slump a real thing?", "session_id": 18098, "sequence_id": 143, "annotations": []}
{"role": "student", "content": "Yea I think I would feel much better if I slept good!", "session_id": 18098, "sequence_id": 144, "annotations": []}
{"role": "student", "content": "At what time will you be connected?", "session_id": 18098, "sequence_id": 145, "annotations": []}
{"role": "volunteer", "content": "Good Night or Mosrning!!", "session_id": 18098, "sequence_id": 146, "annotations": []}
{"role": "student", "content": "Oh", "session_id": 18098, "sequence_id": 147, "annotations": []}
{"role": "volunteer", "content": "Sophmore slump is very personal, but it can be!!", "session_id": 18098, "sequence_id": 148, "annotations": []}
{"role": "student", "content": "What do you mean?", "session_id": 18098, "sequence_id": 149, "annotations": []}
{"role": "volunteer", "content": "I hope that I will be connected!!", "session_id": 18098, "sequence_id": 150, "annotations": []}
{"role": "volunteer", "content": "So what do you mean by saying Sophmore  slump?", "session_id": 18098, "sequence_id": 151, "annotations": []}
{"role": "volunteer", "content": "I understand this by saying that a decline in performance or motivation following a successful or promising initial period", "session_id": 18098, "sequence_id": 152, "annotations": []}
{"role": "student", "content": "Like getting really bad grades sophmore year", "session_id": 18098, "sequence_id": 153, "annotations": []}
{"role": "volunteer", "content": "Oh", "session_id": 18098, "sequence_id": 154, "annotations": []}
{"role": "student", "content": "Yes that", "session_id": 18098, "sequence_id": 155, "annotations": []}
{"role": "student", "content": "Like when you give up of doing something", "session_id": 18098, "sequence_id": 156, "annotations": []}
{"role": "student", "content": "You know what I mean?", "session_id": 18098, "sequence_id": 157, "annotations": []}
{"role": "volunteer", "content": "hmmm", "session_id": 18098, "sequence_id": 158, "annotations": []}
{"role": "volunteer", "content": "I guess", "session_id": 18098, "sequence_id": 159, "annotations": []}
{"role": "volunteer", "content": "but can you explain that once more, if that's ok?", "session_id": 18098, "sequence_id": 160, "annotations": []}
{"role": "student", "content": "Of course!", "session_id": 18098, "sequence_id": 161, "annotations": []}
{"role": "volunteer", "content": "Also if you are tired, you can go and sleep and then we will continue talking that's totally ok", "session_id": 18098, "sequence_id": 162, "annotations": []}
{"role": "student", "content": "general exhaustion and lack of motivation students face during their junior year which causes you to have bad grades", "session_id": 18098, "sequence_id": 163, "annotations": [{"pii_type": "GRADE_LEVEL", "surrogate": "junior", "start": 69, "end": 75}]}
{"role": "student", "content": "a lot of people are talking about it and saying most of the people that were in junior year got sophmore slump", "session_id": 18098, "sequence_id": 164, "annotations": [{"pii_type": "GRADE_LEVEL", "surrogate": "junior", "start": 80, "end": 86}]}
{"role": "volunteer", "content": "ooh  Now I get it", "session_id": 18098, "sequence_id": 165, "annotations": []}
{"role": "student", "content": "Yea", "session_id": 18098, "sequence_id": 166, "annotations": []}
{"role": "volunteer", "content": "So a little info , Springfield Academy is only 3 years, also we cannot choose our classes", "session_id": 18098, "sequence_id": 167, "annotations": [{"pii_type": "SCHOOL", "surrogate": "Springfield Academy", "start": 19, "end": 38}]}
{"role": "student", "content": "Wait ur not in Texas?", "session_id": 18098, "sequence_id": 168, "annotations": [{"pii_type": "LOCATION", "surrogate": "Texas", "start": 15, "end": 20}]}
{"role": "volunteer", "content": "But I guess that junior slump can be true for some people, and cannot work for others", "session_id": 18098, "sequence_id": 169, "annotations": [{"pii_type": "GRADE_LEVEL", "surrogate": "junior", "start": 17, "end": 23}]}
{"role": "student", "content": "Ooh", "session_id": 18098, "sequence_id": 170, "annotations": []}
{"role": "volunteer", "content": "No I'm not in Texas", "session_id": 18098, "sequence_id": 171, "annotations": [{"pii_type": "LOCATION", "surrogate": "Texas", "start": 14, "end": 19}]}
{"role": "student", "content": "Where are you?", "session_id": 18098, "sequence_id": 172, "annotations": []}
{"role": "student", "content": "I'm in uSa", "session_id": 18098, "sequence_id": 173, "annotations": []}
{"role": "volunteer", "content": "I'm in Georgia!! But I don't know if I'm allowed to be more certain or not!!", "session_id": 18098, "sequence_id": 174, "annotations": [{"pii_type": "LOCATION", "surrogate": "Georgia", "start": 7, "end": 14}]}
{"role": "volunteer", "content": "Sorry about that!!", "session_id": 18098, "sequence_id": 175, "annotations": []}
{"role": "student", "content": "Oooo", "session_id": 18098, "sequence_id": 176, "annotations": []}
{"role": "student", "content": "Is that a country?", "session_id": 18098, "sequence_id": 177, "annotations": []}
{"role": "volunteer", "content": "Yeah!", "session_id": 18098, "sequence_id": 178, "annotations": []}
{"role": "student", "content": "Ooo!", "session_id": 18098, "sequence_id": 179, "annotations": []}
{"role": "volunteer", "content": "I mean during classes I don't know if I can be more certain or not", "session_id": 18098, "sequence_id": 180, "annotations": []}
{"role": "student", "content": "Ooh", "session_id": 18098, "sequence_id": 181, "annotations": []}
{"role": "volunteer", "content": "Otherwise I can be certain about that!!", "session_id": 18098, "sequence_id": 182, "annotations": []}
{"role": "volunteer", "content": "It can contradict to Privacy Policy, I'm sorry!", "session_id": 18098, "sequence_id": 183, "annotations": []}
{"role": "volunteer", "content": "So Maya do you have any other questions?", "session_id": 18098, "sequence_id": 184, "annotations": [{"pii_type": "PERSON", "surrogate": "Maya", "start": 3, "end": 7}]}
{"role": "student", "content": "No I don't and thank you so much for your time!", "session_id": 18098, "sequence_id": 185, "annotations": []}
{"role": "volunteer", "content": "Thank you Maya", "session_id": 18098, "sequence_id": 186, "annotations": [{"pii_type": "PERSON", "surrogate": "Maya", "start": 10, "end": 14}]}
{"role": "volunteer", "content": "Have a good night!!", "session_id": 18098, "sequence_id": 187, "annotations": []}
{"role": "volunteer", "content": "Georgia!", "session_id": 18098, "sequence_id": 188, "annotations": [{"pii_type": "LOCATION", "surrogate": "Georgia", "start": 0, "end": 7}]}
{"role": "student", "content": "Bye!", "session_id": 18098, "sequence_id": 189, "annotations": []}
{"role": "student", "content": "hey can you check my answers for me", "session_id": 18173, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "Hi Marcus! Post the questions on the whiteboard so I can check them.", "session_id": 18173, "sequence_id": 1, "annotations": [{"pii_type": "PERSON", "surrogate": "Marcus", "start": 3, "end": 9}]}
{"role": "volunteer", "content": "Alright. The first answer to the multiple-choice question is incorrect. You're close with the factor part and correct with the reflection part of the equation.", "session_id": 18173, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "whats that mean", "session_id": 18173, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "The answer to question 4 is 4th option available.", "session_id": 18173, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "As for the graphs, I have noticed some mistakes. Would you like to go over them together?", "session_id": 18173, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "but don't you need to have a recipricol because its over the x- axis", "session_id": 18173, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "No. The reciprocal is applied when graphing perpendicular functions.", "session_id": 18173, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "oh okay", "session_id": 18173, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "yeah we can look over the next one", "session_id": 18173, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "Yes. Let's first start with the dotted yellow one.", "session_id": 18173, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "Here, our function tells us we have a vertical translation, not horizontal.", "session_id": 18173, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "yes", "session_id": 18173, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "is it the y=lx+4l for the yellow dotted", "session_id": 18173, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "Yes, if you were to take the horizontal version.", "session_id": 18173, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "As for your work on the green graph, I noticed it is correct. Nice work! However, moving on to the blue graph, we will actually flip the equation we had with the yellow graph to get the correct function description.", "session_id": 18173, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "would it look like this", "session_id": 18173, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "Close! Make sure that you add a plus sign to the yellow graph. After adding this minor correction, we can begin talking about the red graph.", "session_id": 18173, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "how do I add a plus", "session_id": 18173, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "Add a positive sign (+) to the yellow graph so it looks like: y=Ix+4I", "session_id": 18173, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "so just switch it with the red then?", "session_id": 18173, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "I cant add things its just a box and I put them where they belong", "session_id": 18173, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "Yes. If you switch the two functions, the matching will be correct.", "session_id": 18173, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "so this is how its supposed to look", "session_id": 18173, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "Yes, you got it! Need help with anything else?", "session_id": 18173, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "On the question asking to analyze the effect of compressions, the first option you picked appears correct.", "session_id": 18173, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "Yes, the 3rd option picked for the translation is correct.", "session_id": 18173, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "okay thanks that it", "session_id": 18173, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "Alright! Thanks for tutoring with TutorEase, and have a great day:)", "session_id": 18173, "sequence_id": 28, "annotations": [{"pii_type": "PERSON", "surrogate": "TutorEase", "start": 34, "end": 43}]}
{"role": "volunteer", "content": "hello what seems to be the problem", "session_id": 18182, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "Find the inverse of the function f(x) = 6x-1/x+2", "session_id": 18182, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "do you know what an inverse is", "session_id": 18182, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "No", "session_id": 18182, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "so a regular function is f(x) = y right?", "session_id": 18182, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "so an inverse should give you f(y) = x", "session_id": 18182, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "so with that we say that y = 6x-1/(x+2) we need to find the function such that we put it in terms of y instead of x so how would i go about that", "session_id": 18182, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "I don't know", "session_id": 18182, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "so\nwehave this right?", "session_id": 18182, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "correct", "session_id": 18182, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 18182, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "So want it in terms of y instead of x right", "session_id": 18182, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "so we then have", "session_id": 18182, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "where y is our input and x is our output", "session_id": 18182, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "so how do you think we should go about doing that", "session_id": 18182, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "change all the x's to y's?", "session_id": 18182, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "kind of", "session_id": 18182, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "so we need to rearrange so that we have y as an input and x as an output", "session_id": 18182, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "Got it, how do we do that", "session_id": 18182, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "you should rearrange it using algebra", "session_id": 18182, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "do you know how to do that", "session_id": 18182, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "No", "session_id": 18182, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "Do you know what to do to cancel out terms?", "session_id": 18182, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "No I don't", "session_id": 18182, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "like if had a subtraction do you know what to do to cancel it", "session_id": 18182, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "To make it be the same", "session_id": 18182, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "you add to cancel out subtraction", "session_id": 18182, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "do the inverse", "session_id": 18182, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "Okay got it.", "session_id": 18182, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "Can you help me? Or could you just do it so I can see how it's done", "session_id": 18182, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "I can try and help you but i am not sure how exactly to", "session_id": 18182, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "Could you show me how to do it", "session_id": 18182, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "lets look at a differen tprolem", "session_id": 18182, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "Okay", "session_id": 18182, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "so this is a functino of x in terms fo y", "session_id": 18182, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "so you try the actual problem now", "session_id": 18182, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "No idea", "session_id": 18182, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "so how would you cancel division", "session_id": 18182, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "multiply", "session_id": 18182, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "yeah", "session_id": 18182, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "so then how would u cancel a division by (x+2)", "session_id": 18182, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "x - 2", "session_id": 18182, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "or just -2?", "session_id": 18182, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "no you mutiply by the inverse which is x+2", "session_id": 18182, "sequence_id": 43, "annotations": []}
{"role": "student", "content": "x times 2?", "session_id": 18182, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "no (x+2) as a whole", "session_id": 18182, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "so we have to do to one side what we do to the other right?", "session_id": 18182, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "Do the same", "session_id": 18182, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 18182, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "so write it out", "session_id": 18182, "sequence_id": 49, "annotations": []}
{"role": "student", "content": "I don't know how", "session_id": 18182, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "so now you have to rearragne it so that you can get x alone", "session_id": 18182, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "So you should divide?", "session_id": 18182, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "you need to group everything together", "session_id": 18182, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "all the variables", "session_id": 18182, "sequence_id": 54, "annotations": []}
{"role": "student", "content": "How do we do that", "session_id": 18182, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "Hello!", "session_id": 18180, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "Hello1", "session_id": 18180, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "i need help with a question on my hw that im not too sure on", "session_id": 18180, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "so -8 is less than -6", "session_id": 18180, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "so f(-8) is (-8)^3-4", "session_id": 18180, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "which is -512-4", "session_id": 18180, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "which -516", "session_id": 18180, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "-516 i mean", "session_id": 18180, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "-2 is between -6 and 1 and therefore f(-2) = 2(-2) + 7", "session_id": 18180, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "= 3", "session_id": 18180, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "3 is greater than 1, so f(3)= (3) all over (3)^2 + 2", "session_id": 18180, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "so 3/11", "session_id": 18180, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "That was very quick, so what questions do you have?", "session_id": 18180, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "so those values you got is the answer for each a, b, c?", "session_id": 18180, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "-516 , 3, 3/11", "session_id": 18180, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "a. -516,   b=3  c=3/11", "session_id": 18180, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 18180, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "so basically theres 3 statement and i will have to fill in a b c into each one/", "session_id": 18180, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "?", "session_id": 18180, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "yeah,its basically three different questions within the same one", "session_id": 18180, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "so three different answers", "session_id": 18180, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "OHHH thats how to do piecewise??", "session_id": 18180, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "im sorry i got to go", "session_id": 18180, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "bye!", "session_id": 18180, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "oh Mike", "session_id": 18180, "sequence_id": 24, "annotations": [{"pii_type": "PERSON", "surrogate": "Mike", "start": 3, "end": 7}]}
{"role": "volunteer", "content": "Hi Alex!", "session_id": 18181, "sequence_id": 0, "annotations": [{"pii_type": "PERSON", "surrogate": "Alex", "start": 3, "end": 7}]}
{"role": "student", "content": "Hello! I need help with solving this its difficult", "session_id": 18181, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "Okay! Can you start by writing the 17 numbers from smallest to biggest?", "session_id": 18181, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "Mhm", "session_id": 18181, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "Done", "session_id": 18181, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "Thanks", "session_id": 18181, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "Obviously you know what the minimum and maximum are now so let's start with the median", "session_id": 18181, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "Do you know what the median means?", "session_id": 18181, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "mhm the middle number", "session_id": 18181, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "Yeah! So what do you think the median is?", "session_id": 18181, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "41?", "session_id": 18181, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 18181, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "Do you know what the first quartile and third quartile are?", "session_id": 18181, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "uhh", "session_id": 18181, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "would it be 40?", "session_id": 18181, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "third would be 42?", "session_id": 18181, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "No but I get where you got that from", "session_id": 18181, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "Each quartile is a quarter of the way through the numbers so the first quarter is the middle of the first half and the third quartile is the middle of the second half", "session_id": 18181, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "so how would i like find it then", "session_id": 18181, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "You already separated the halves with your underlines so you have to find the number in the middle of each of the underlines", "session_id": 18181, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "oh i get it", "session_id": 18181, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "If the middle is between 2 numbers then the quartile is just the middle of those 2 numbers", "session_id": 18181, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "28", "session_id": 18181, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "wait Mr. Smith", "session_id": 18181, "sequence_id": 23, "annotations": [{"pii_type": "PERSON", "surrogate": "Mr. Smith", "start": 5, "end": 14}]}
{"role": "student", "content": "39 for Q1", "session_id": 18181, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "See how the 3 lines you drew split it up into around 4 even parts?", "session_id": 18181, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "mhm", "session_id": 18181, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "oh i see 36 is the middle number", "session_id": 18181, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "?", "session_id": 18181, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "That means each line is a quarter of the way through so the quartiles are right at the lines", "session_id": 18181, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "Can you double check your last line on the right though?", "session_id": 18181, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "yep i did", "session_id": 18181, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "The second line should be on the 41 since 41 is in the middle", "session_id": 18181, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "That will move your 3rd line to where it should be", "session_id": 18181, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "You only need 3 lines because 3 lines splits it into 4 areas", "session_id": 18181, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "oh ok", "session_id": 18181, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "is this right", "session_id": 18181, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "?", "session_id": 18181, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "The median/Q1 is perfect but the lines are still a little off", "session_id": 18181, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "ok can u help me then bc idk", "session_id": 18181, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "Sure of course, do you get what I mean by you only need 3 lines?", "session_id": 18181, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "i'm doing 4 on each side", "session_id": 18181, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "mhm", "session_id": 18181, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "Can you see what I'm drawing?", "session_id": 18181, "sequence_id": 43, "annotations": []}
{"role": "student", "content": "mhm", "session_id": 18181, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "I mean like on the actual numbers", "session_id": 18181, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "This isn't what the box is gonna look like but I just wanna show you what I mean", "session_id": 18181, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "Bc I still don't know where to draw it since itis wrong each time", "session_id": 18181, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "You're trying to split it into 4 areas like this box I drew so the middle line should be through the 41 because that's straight down the middle", "session_id": 18181, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "Does that make sense?", "session_id": 18181, "sequence_id": 49, "annotations": []}
{"role": "student", "content": "mhm", "session_id": 18181, "sequence_id": 50, "annotations": []}
{"role": "student", "content": "wrong or right", "session_id": 18181, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "It's close but do you see how the numbers from 25 to 60 are split into 5 sections instead of 4 the way you drew it?", "session_id": 18181, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "Can we start over with the lines and I'll try to explain it better?", "session_id": 18181, "sequence_id": 53, "annotations": []}
{"role": "student", "content": "can you do it then bc i reall don't get it", "session_id": 18181, "sequence_id": 54, "annotations": []}
{"role": "student", "content": "i thought it was 4 each box", "session_id": 18181, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "Each box is supposed to be a quarter of the set of numbers", "session_id": 18181, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "Sure I can show you and you can tell me if this makes sense", "session_id": 18181, "sequence_id": 57, "annotations": []}
{"role": "student", "content": "ok", "session_id": 18181, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "The box represents the whole set of numbers by the way from minimum to maximum", "session_id": 18181, "sequence_id": 59, "annotations": []}
{"role": "student", "content": "i get that but i need to actually see it visually for the numbers", "session_id": 18181, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "Yeah I totally get that if you're a visual learner that'll probably help", "session_id": 18181, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "The line I just drew is like splitting in half through the middle since 41 is the median like you said", "session_id": 18181, "sequence_id": 62, "annotations": []}
{"role": "student", "content": "ok", "session_id": 18181, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "When I split the box into quarters I split in in half and then drew a line in the middle of each half to split the box into 4", "session_id": 18181, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "I'm gonna do the same thing with these numbers", "session_id": 18181, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "I get why you thought 4 each because it looks like the sections each have 4 but you have to start by splitting it in half and then splitting in half again because you have 17 not 16", "session_id": 18181, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "The 41 isn't part of any of the 4 sections", "session_id": 18181, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "Does this make sense so far/", "session_id": 18181, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "*?", "session_id": 18181, "sequence_id": 69, "annotations": []}
{"role": "student", "content": "my laptop died", "session_id": 18181, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "Oh ok no worries", "session_id": 18181, "sequence_id": 71, "annotations": []}
{"role": "student", "content": "ok i get it", "session_id": 18181, "sequence_id": 72, "annotations": []}
{"role": "student", "content": "so u split the median", "session_id": 18181, "sequence_id": 73, "annotations": []}
{"role": "student", "content": "so then which is the Q1", "session_id": 18181, "sequence_id": 74, "annotations": []}
{"role": "volunteer", "content": "Yeah you split in half at the median/Q1 and then split each half in half", "session_id": 18181, "sequence_id": 75, "annotations": []}
{"role": "student", "content": "mhm", "session_id": 18181, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "Now are you able to figure out Q1 and Q3?", "session_id": 18181, "sequence_id": 77, "annotations": []}
{"role": "student", "content": "39 is Q1?", "session_id": 18181, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "Q1 is where I drew the line so it's in the middle of 30 and 31?", "session_id": 18181, "sequence_id": 79, "annotations": []}
{"role": "student", "content": "Mr. Smith", "session_id": 18181, "sequence_id": 80, "annotations": [{"pii_type": "PERSON", "surrogate": "Mr. Smith", "start": 0, "end": 9}]}
{"role": "student", "content": "im counting the numbers in it", "session_id": 18181, "sequence_id": 81, "annotations": []}
{"role": "student", "content": "like in that box", "session_id": 18181, "sequence_id": 82, "annotations": []}
{"role": "student", "content": "im not looking at 30 bc its in the other box", "session_id": 18181, "sequence_id": 83, "annotations": []}
{"role": "volunteer", "content": "Wait wait wait", "session_id": 18181, "sequence_id": 84, "annotations": []}
{"role": "student", "content": "ok", "session_id": 18181, "sequence_id": 85, "annotations": []}
{"role": "volunteer", "content": "I think you accidentally wrote down a 60 instead of a 50", "session_id": 18181, "sequence_id": 86, "annotations": []}
{"role": "volunteer", "content": "There's 2 50s in the number set and no 60s", "session_id": 18181, "sequence_id": 87, "annotations": []}
{"role": "student", "content": "ugh yeah your right", "session_id": 18181, "sequence_id": 88, "annotations": []}
{"role": "student", "content": "can u check all the numbers now", "session_id": 18181, "sequence_id": 89, "annotations": []}
{"role": "volunteer", "content": "Sure", "session_id": 18181, "sequence_id": 90, "annotations": []}
{"role": "student", "content": "that changes the median now", "session_id": 18181, "sequence_id": 91, "annotations": []}
{"role": "volunteer", "content": "Yeah sorry about that", "session_id": 18181, "sequence_id": 92, "annotations": []}
{"role": "student", "content": "its kk", "session_id": 18181, "sequence_id": 93, "annotations": []}
{"role": "volunteer", "content": "There's no 30 either", "session_id": 18181, "sequence_id": 94, "annotations": []}
{"role": "volunteer", "content": "At least for me it helps to cross them out while I go through them so that I don't miss any", "session_id": 18181, "sequence_id": 95, "annotations": []}
{"role": "student", "content": "agreed", "session_id": 18181, "sequence_id": 96, "annotations": []}
{"role": "volunteer", "content": "There should be 2 36s too", "session_id": 18181, "sequence_id": 97, "annotations": []}
{"role": "student", "content": "let me reorder it", "session_id": 18181, "sequence_id": 98, "annotations": []}
{"role": "volunteer", "content": "Okay", "session_id": 18181, "sequence_id": 99, "annotations": []}
{"role": "student", "content": "ok can  u check now", "session_id": 18181, "sequence_id": 100, "annotations": []}
{"role": "volunteer", "content": "Sure", "session_id": 18181, "sequence_id": 101, "annotations": []}
{"role": "volunteer", "content": "Looks good", "session_id": 18181, "sequence_id": 102, "annotations": []}
{"role": "student", "content": "ok", "session_id": 18181, "sequence_id": 103, "annotations": []}
{"role": "student", "content": "median 41", "session_id": 18181, "sequence_id": 104, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 18181, "sequence_id": 105, "annotations": []}
{"role": "volunteer", "content": "Let's see if you can remember how to get Q1 and Q3", "session_id": 18181, "sequence_id": 106, "annotations": []}
{"role": "student", "content": "ok now lets split it", "session_id": 18181, "sequence_id": 107, "annotations": []}
{"role": "student", "content": "k", "session_id": 18181, "sequence_id": 108, "annotations": []}
{"role": "student", "content": "this?", "session_id": 18181, "sequence_id": 109, "annotations": []}
{"role": "volunteer", "content": "Yeah nice job!", "session_id": 18181, "sequence_id": 110, "annotations": []}
{"role": "volunteer", "content": "The Q1 line is a little trickier than the Q3 but it's in the middle of 31 and 36", "session_id": 18181, "sequence_id": 111, "annotations": []}
{"role": "student", "content": "is Q1 39?", "session_id": 18181, "sequence_id": 112, "annotations": []}
{"role": "volunteer", "content": "Can you tell me how you got that?", "session_id": 18181, "sequence_id": 113, "annotations": []}
{"role": "student", "content": "i looked at the numbers in the mix", "session_id": 18181, "sequence_id": 114, "annotations": []}
{"role": "student", "content": "its in the middle", "session_id": 18181, "sequence_id": 115, "annotations": []}
{"role": "volunteer", "content": "Q1 is directly on the line labeled Q1 because that's right in the middle of the left half", "session_id": 18181, "sequence_id": 116, "annotations": []}
{"role": "volunteer", "content": "You drew the line perfectly between the 31 and the 36 so that means Q1 is in the middle of 31 and 36", "session_id": 18181, "sequence_id": 117, "annotations": []}
{"role": "volunteer", "content": "Does that make sense?", "session_id": 18181, "sequence_id": 118, "annotations": []}
{"role": "student", "content": "so everythings in half", "session_id": 18181, "sequence_id": 119, "annotations": []}
{"role": "student", "content": "so its 36", "session_id": 18181, "sequence_id": 120, "annotations": []}
{"role": "student", "content": "so should i look at it like this, : 31, 36,36,39?", "session_id": 18181, "sequence_id": 121, "annotations": []}
{"role": "volunteer", "content": "You should think of it like this: the median is 41 so that's the middle which means everything to the left of 41 is one half and everything to the right is one half, that means one half is 25,27, 28, 31, 36, 36, 39, 40", "session_id": 18181, "sequence_id": 122, "annotations": []}
{"role": "volunteer", "content": "Since that's 8 numbers the middle of that half is between 31 and 36 because that's 4 on each side", "session_id": 18181, "sequence_id": 123, "annotations": []}
{"role": "volunteer", "content": "25, 27, 28, 31 and 36, 36, 39, 40", "session_id": 18181, "sequence_id": 124, "annotations": []}
{"role": "student", "content": "yeah so would it be 31,36,,36,39?", "session_id": 18181, "sequence_id": 125, "annotations": []}
{"role": "volunteer", "content": "What is 31, 36, 36, 39? Sorry I'm a little confused", "session_id": 18181, "sequence_id": 126, "annotations": []}
{"role": "volunteer", "content": "By the way I don't know if I made this clear but Q1 and Q3 are also numbers just like the median", "session_id": 18181, "sequence_id": 127, "annotations": []}
{"role": "volunteer", "content": "They're not groups of numbers if that's what you were thinking", "session_id": 18181, "sequence_id": 128, "annotations": []}
{"role": "student", "content": "You mentioned its between 31 so would i include that number when finding the middle number", "session_id": 18181, "sequence_id": 129, "annotations": []}
{"role": "student", "content": "bc originally i wasnt looking at that i was looking at the numbers in the actual box but we split 41", "session_id": 18181, "sequence_id": 130, "annotations": []}
{"role": "volunteer", "content": "It's the number in the middle of 31 and 36 so it would be 33.5", "session_id": 18181, "sequence_id": 131, "annotations": []}
{"role": "student", "content": "thats cnofusing", "session_id": 18181, "sequence_id": 132, "annotations": []}
{"role": "student", "content": "how would you know its 33 is there math to solve that?", "session_id": 18181, "sequence_id": 133, "annotations": []}
{"role": "volunteer", "content": "Yeah I'll show you", "session_id": 18181, "sequence_id": 134, "annotations": []}
{"role": "student", "content": "Thank you", "session_id": 18181, "sequence_id": 135, "annotations": []}
{"role": "volunteer", "content": "No problem, there's 2 ways so you can choose whatever's easier for you", "session_id": 18181, "sequence_id": 136, "annotations": []}
{"role": "student", "content": "Ok", "session_id": 18181, "sequence_id": 137, "annotations": []}
{"role": "volunteer", "content": "You can either find the distance between the numbers which is 5 and add half the distance to the smaller number so 31+5*1/2 is 33.5", "session_id": 18181, "sequence_id": 138, "annotations": []}
{"role": "volunteer", "content": "Or since the middle of 2 numbers is their average you can add the number and divide by 2", "session_id": 18181, "sequence_id": 139, "annotations": []}
{"role": "volunteer", "content": "31+36 is 67 and 67/2 is 33.5", "session_id": 18181, "sequence_id": 140, "annotations": []}
{"role": "student", "content": "ok i like that", "session_id": 18181, "sequence_id": 141, "annotations": []}
{"role": "student", "content": "and do that for the rest?", "session_id": 18181, "sequence_id": 142, "annotations": []}
{"role": "volunteer", "content": "Q3 is between 50 and 50 so you don't have to", "session_id": 18181, "sequence_id": 143, "annotations": []}
{"role": "student", "content": "41+42=83/2=41.5", "session_id": 18181, "sequence_id": 144, "annotations": []}
{"role": "volunteer", "content": "No we don't have to do it for everything because we just need the min, Q1, Median, Q3, and Max", "session_id": 18181, "sequence_id": 145, "annotations": []}
{"role": "student", "content": "ok", "session_id": 18181, "sequence_id": 146, "annotations": []}
{"role": "student", "content": "i have to put these points so u sure its 41 nd not 41.5? bc we did split it", "session_id": 18181, "sequence_id": 147, "annotations": []}
{"role": "student", "content": "and Q3 is just 50", "session_id": 18181, "sequence_id": 148, "annotations": []}
{"role": "volunteer", "content": "We were just trying to split the numbers in half but we don't have to split like that because we have 8 on each side of the 41", "session_id": 18181, "sequence_id": 149, "annotations": []}
{"role": "volunteer", "content": "Now you have the 5 numbers you need: 25, 33.5, 41, 50, and 59", "session_id": 18181, "sequence_id": 150, "annotations": []}
{"role": "student", "content": "ok let me plug this in", "session_id": 18181, "sequence_id": 151, "annotations": []}
{"role": "volunteer", "content": "Ok", "session_id": 18181, "sequence_id": 152, "annotations": []}
{"role": "student", "content": "its correct ill try the next one on my own and then can you look over it", "session_id": 18181, "sequence_id": 153, "annotations": []}
{"role": "volunteer", "content": "Oh it checks it for you?", "session_id": 18181, "sequence_id": 154, "annotations": []}
{"role": "volunteer", "content": "That's cool", "session_id": 18181, "sequence_id": 155, "annotations": []}
{"role": "volunteer", "content": "Sure I'll check it", "session_id": 18181, "sequence_id": 156, "annotations": []}
{"role": "student", "content": "done", "session_id": 18181, "sequence_id": 157, "annotations": []}
{"role": "student", "content": "38 is the median?", "session_id": 18181, "sequence_id": 158, "annotations": []}
{"role": "volunteer", "content": "It is but I think for a different reason then you think", "session_id": 18181, "sequence_id": 159, "annotations": []}
{"role": "volunteer", "content": "See how the section on the left has 7 and the section on the right has 8", "session_id": 18181, "sequence_id": 160, "annotations": []}
{"role": "volunteer", "content": "?", "session_id": 18181, "sequence_id": 161, "annotations": []}
{"role": "student", "content": "mhm", "session_id": 18181, "sequence_id": 162, "annotations": []}
{"role": "volunteer", "content": "That means the first 38 should be part of the 1st half so each side is 8", "session_id": 18181, "sequence_id": 163, "annotations": []}
{"role": "volunteer", "content": "So it is 38 but that's because that's in the middle of the 2 38s not because the 38 is in the middle", "session_id": 18181, "sequence_id": 164, "annotations": []}
{"role": "student", "content": "well when i see it as 7 and 8 on the side i know its the middle even tho one isnt equal but itis close", "session_id": 18181, "sequence_id": 165, "annotations": []}
{"role": "student", "content": "so 3 for each?", "session_id": 18181, "sequence_id": 166, "annotations": []}
{"role": "volunteer", "content": "The line you drew still isn't in the middle because it doesn't have the same amount of numbers on each side", "session_id": 18181, "sequence_id": 167, "annotations": []}
{"role": "volunteer", "content": "If there's an even amount of numbers like 16 you can just do 8 and 8 instead of excluding the middle number", "session_id": 18181, "sequence_id": 168, "annotations": []}
{"role": "volunteer", "content": "You only exclude the middle number if it's an odd amount like 17", "session_id": 18181, "sequence_id": 169, "annotations": []}
{"role": "student", "content": "ok", "session_id": 18181, "sequence_id": 170, "annotations": []}
{"role": "volunteer", "content": "Now you have to find the middle of 32 and 35 for Q1 and the middle of 42 and 44 for Q3", "session_id": 18181, "sequence_id": 171, "annotations": []}
{"role": "student", "content": "is that Q1?", "session_id": 18181, "sequence_id": 172, "annotations": []}
{"role": "volunteer", "content": "Q3 is at this line", "session_id": 18181, "sequence_id": 173, "annotations": []}
{"role": "volunteer", "content": "Remember that it's a number not a region", "session_id": 18181, "sequence_id": 174, "annotations": []}
{"role": "student", "content": "here?", "session_id": 18181, "sequence_id": 175, "annotations": []}
{"role": "student", "content": "or like the actual middle line", "session_id": 18181, "sequence_id": 176, "annotations": []}
{"role": "volunteer", "content": "It should be on the actual line yeah", "session_id": 18181, "sequence_id": 177, "annotations": []}
{"role": "student", "content": "kk", "session_id": 18181, "sequence_id": 178, "annotations": []}
{"role": "student", "content": "now Q3", "session_id": 18181, "sequence_id": 179, "annotations": []}
{"role": "student", "content": "is this right?", "session_id": 18181, "sequence_id": 180, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 18181, "sequence_id": 181, "annotations": []}
{"role": "student", "content": "ok", "session_id": 18181, "sequence_id": 182, "annotations": []}
{"role": "student", "content": "so median is 38", "session_id": 18181, "sequence_id": 183, "annotations": []}
{"role": "student", "content": "58.5 is Q3", "session_id": 18181, "sequence_id": 184, "annotations": []}
{"role": "volunteer", "content": "Median is 38 yeah", "session_id": 18181, "sequence_id": 185, "annotations": []}
{"role": "volunteer", "content": "Do you see how the line you drew for Q3 goes between 42 and 44?", "session_id": 18181, "sequence_id": 186, "annotations": []}
{"role": "student", "content": "mhm", "session_id": 18181, "sequence_id": 187, "annotations": []}
{"role": "student", "content": "oh we do it that way", "session_id": 18181, "sequence_id": 188, "annotations": []}
{"role": "student", "content": "43", "session_id": 18181, "sequence_id": 189, "annotations": []}
{"role": "student", "content": "and then 32+35/2", "session_id": 18181, "sequence_id": 190, "annotations": []}
{"role": "student", "content": "which is 33.5", "session_id": 18181, "sequence_id": 191, "annotations": []}
{"role": "volunteer", "content": "Yup good fix!", "session_id": 18181, "sequence_id": 192, "annotations": []}
{"role": "volunteer", "content": "So now we have everything we need", "session_id": 18181, "sequence_id": 193, "annotations": []}
{"role": "student", "content": "so 33.5,38, and 43", "session_id": 18181, "sequence_id": 194, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 18181, "sequence_id": 195, "annotations": []}
{"role": "student", "content": "gonna plug it rn", "session_id": 18181, "sequence_id": 196, "annotations": []}
{"role": "volunteer", "content": "Okay!", "session_id": 18181, "sequence_id": 197, "annotations": []}
{"role": "student", "content": "i have one more problem", "session_id": 18181, "sequence_id": 198, "annotations": []}
{"role": "volunteer", "content": "Okay you can put it up when you're ready", "session_id": 18181, "sequence_id": 199, "annotations": []}
{"role": "student", "content": "66 is the median", "session_id": 18181, "sequence_id": 200, "annotations": []}
{"role": "student", "content": "?", "session_id": 18181, "sequence_id": 201, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 18181, "sequence_id": 202, "annotations": []}
{"role": "student", "content": "so 18 is an even number", "session_id": 18181, "sequence_id": 203, "annotations": []}
{"role": "student", "content": "i tried to do 4", "session_id": 18181, "sequence_id": 204, "annotations": []}
{"role": "student", "content": "but it aint even enouh soo", "session_id": 18181, "sequence_id": 205, "annotations": []}
{"role": "volunteer", "content": "You know how earlier when it was 17 we had to exclude the middle number to split it into?", "session_id": 18181, "sequence_id": 206, "annotations": []}
{"role": "volunteer", "content": "Since you have 9 on each side and 9 is odd you take out the middle number to make Q1 and Q3", "session_id": 18181, "sequence_id": 207, "annotations": []}
{"role": "student", "content": "mhm", "session_id": 18181, "sequence_id": 208, "annotations": []}
{"role": "student", "content": "yeah i had a feeling we do it that way", "session_id": 18181, "sequence_id": 209, "annotations": []}
{"role": "student", "content": "stillwont be evn", "session_id": 18181, "sequence_id": 210, "annotations": []}
{"role": "volunteer", "content": "Can you start by making the middle line and erase the rest for now?", "session_id": 18181, "sequence_id": 211, "annotations": []}
{"role": "volunteer", "content": "Make sure there's the same amount on each side of the middle line", "session_id": 18181, "sequence_id": 212, "annotations": []}
{"role": "student", "content": "mhm", "session_id": 18181, "sequence_id": 213, "annotations": []}
{"role": "volunteer", "content": "Did you count how many numbers are on each side of the line and they were the same?", "session_id": 18181, "sequence_id": 214, "annotations": []}
{"role": "student", "content": "mhm", "session_id": 18181, "sequence_id": 215, "annotations": []}
{"role": "volunteer", "content": "You have 8 numbers on one side and 9 on the other right now", "session_id": 18181, "sequence_id": 216, "annotations": []}
{"role": "volunteer", "content": "If you draw the line between the 66s you'll have 9 on each side", "session_id": 18181, "sequence_id": 217, "annotations": []}
{"role": "volunteer", "content": "Does that make sense?", "session_id": 18181, "sequence_id": 218, "annotations": []}
{"role": "student", "content": "yes", "session_id": 18181, "sequence_id": 219, "annotations": []}
{"role": "student", "content": "so 3 groups?", "session_id": 18181, "sequence_id": 220, "annotations": []}
{"role": "volunteer", "content": "Right now we're just splitting it in half", "session_id": 18181, "sequence_id": 221, "annotations": []}
{"role": "student", "content": "ok", "session_id": 18181, "sequence_id": 222, "annotations": []}
{"role": "student", "content": "oh so 4 groups but Mr. Smith", "session_id": 18181, "sequence_id": 223, "annotations": [{"pii_type": "PERSON", "surrogate": "Mr. Smith", "start": 19, "end": 28}]}
{"role": "student", "content": "last time?", "session_id": 18181, "sequence_id": 224, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 18181, "sequence_id": 225, "annotations": []}
{"role": "student", "content": "but 85", "session_id": 18181, "sequence_id": 226, "annotations": []}
{"role": "student", "content": "is on its own", "session_id": 18181, "sequence_id": 227, "annotations": []}
{"role": "volunteer", "content": "Sorry if I sound repetitive but you have to fix the line that splits it in half or the rest won't be right", "session_id": 18181, "sequence_id": 228, "annotations": []}
{"role": "student", "content": "this?", "session_id": 18181, "sequence_id": 229, "annotations": []}
{"role": "volunteer", "content": "That line should be between the 66s so that there's 9 on each side of the line and it's splitting the 18 numbers in half", "session_id": 18181, "sequence_id": 230, "annotations": []}
{"role": "student", "content": "like this?", "session_id": 18181, "sequence_id": 231, "annotations": []}
{"role": "volunteer", "content": "It should look like this", "session_id": 18181, "sequence_id": 232, "annotations": []}
{"role": "student", "content": "o", "session_id": 18181, "sequence_id": 233, "annotations": []}
{"role": "volunteer", "content": "Now it's the same size on the left and right", "session_id": 18181, "sequence_id": 234, "annotations": []}
{"role": "student", "content": "4?", "session_id": 18181, "sequence_id": 235, "annotations": []}
{"role": "volunteer", "content": "Now that we have 9 in the first half, are there the same amount on both sides of the second line you drew?", "session_id": 18181, "sequence_id": 236, "annotations": []}
{"role": "student", "content": "oh i see", "session_id": 18181, "sequence_id": 237, "annotations": []}
{"role": "student", "content": "mhm", "session_id": 18181, "sequence_id": 238, "annotations": []}
{"role": "student", "content": "yepp", "session_id": 18181, "sequence_id": 239, "annotations": []}
{"role": "student", "content": "do 3?", "session_id": 18181, "sequence_id": 240, "annotations": []}
{"role": "volunteer", "content": "You're still making 4 groups but we're gonna split the 1st half and then the second half", "session_id": 18181, "sequence_id": 241, "annotations": []}
{"role": "volunteer", "content": "We're splitting the first 9 right now and since 9 is odd we have to exclude the number in the middle of the 9", "session_id": 18181, "sequence_id": 242, "annotations": []}
{"role": "student", "content": "Ok", "session_id": 18181, "sequence_id": 243, "annotations": []}
{"role": "student", "content": "lik this or?", "session_id": 18181, "sequence_id": 244, "annotations": []}
{"role": "student", "content": "sorry im rlly trying to understand", "session_id": 18181, "sequence_id": 245, "annotations": []}
{"role": "student", "content": "hello?", "session_id": 18181, "sequence_id": 246, "annotations": []}
{"role": "volunteer", "content": "Sorry I had to do something real quick", "session_id": 18181, "sequence_id": 247, "annotations": []}
{"role": "student", "content": "its ok", "session_id": 18181, "sequence_id": 248, "annotations": []}
{"role": "volunteer", "content": "Do you remember the 1st problem we did where it was 17 numbers?", "session_id": 18181, "sequence_id": 249, "annotations": []}
{"role": "student", "content": "yes", "session_id": 18181, "sequence_id": 250, "annotations": []}
{"role": "student", "content": "41 was split", "session_id": 18181, "sequence_id": 251, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 18181, "sequence_id": 252, "annotations": []}
{"role": "volunteer", "content": "We had to do that because it's odd so to split it in half we don't include the middle number", "session_id": 18181, "sequence_id": 253, "annotations": []}
{"role": "student", "content": "mhm", "session_id": 18181, "sequence_id": 254, "annotations": []}
{"role": "volunteer", "content": "Here since we're splitting 9 numbers into half it's the same thing", "session_id": 18181, "sequence_id": 255, "annotations": []}
{"role": "volunteer", "content": "We have to take out the middle number like we took out 41 earlier to split it in half", "session_id": 18181, "sequence_id": 256, "annotations": []}
{"role": "student", "content": "ok", "session_id": 18181, "sequence_id": 257, "annotations": []}
{"role": "student", "content": "so split 66?", "session_id": 18181, "sequence_id": 258, "annotations": []}
{"role": "volunteer", "content": "Splitting the whole thing in half was splitting 18 so we don't split any numbers, after that we're splitting 9 numbers so we split the 59", "session_id": 18181, "sequence_id": 259, "annotations": []}
{"role": "volunteer", "content": "If what you're splitting is odd you split the middle number if it's even you don't", "session_id": 18181, "sequence_id": 260, "annotations": []}
{"role": "student", "content": "can you do it on the board bc im still not getting it", "session_id": 18181, "sequence_id": 261, "annotations": []}
{"role": "volunteer", "content": "Okay", "session_id": 18181, "sequence_id": 262, "annotations": []}
{"role": "volunteer", "content": "We started by splitting the 18 numbers in half and since 18 is even we don't split the middle number and just draw a line between the 66s", "session_id": 18181, "sequence_id": 263, "annotations": []}
{"role": "volunteer", "content": "Now there's 9 numbers on one side (50 55 56 57 59 59 60 65 66) and 9 on the other (66 69 70 72 74 75 81 81 85)", "session_id": 18181, "sequence_id": 264, "annotations": []}
{"role": "student", "content": "Ok I see", "session_id": 18181, "sequence_id": 265, "annotations": []}
{"role": "volunteer", "content": "Now we split the first 9 numbers in half and since 9 is odd we split the middle number(the first 59) so one side is 50 55 56 57 and one is 59 60 65 66", "session_id": 18181, "sequence_id": 266, "annotations": []}
{"role": "volunteer", "content": "Same thing with the second half", "session_id": 18181, "sequence_id": 267, "annotations": []}
{"role": "student", "content": "ok I see", "session_id": 18181, "sequence_id": 268, "annotations": []}
{"role": "student", "content": "58 for 57 & 59?", "session_id": 18181, "sequence_id": 269, "annotations": []}
{"role": "volunteer", "content": "This time the line is on 59 so Q1 is just 59", "session_id": 18181, "sequence_id": 270, "annotations": []}
{"role": "student", "content": "ok", "session_id": 18181, "sequence_id": 271, "annotations": []}
{"role": "student", "content": "samething for 4?", "session_id": 18181, "sequence_id": 272, "annotations": []}
{"role": "student", "content": "74", "session_id": 18181, "sequence_id": 273, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 18181, "sequence_id": 274, "annotations": []}
{"role": "student", "content": "ok so its", "session_id": 18181, "sequence_id": 275, "annotations": []}
{"role": "student", "content": "50, 66, 74, and 85", "session_id": 18181, "sequence_id": 276, "annotations": []}
{"role": "volunteer", "content": "You forgot Q1 but those are right", "session_id": 18181, "sequence_id": 277, "annotations": []}
{"role": "student", "content": "i mean 50, 59, 66, 74, 85", "session_id": 18181, "sequence_id": 278, "annotations": []}
{"role": "volunteer", "content": "Yeah that's perfect", "session_id": 18181, "sequence_id": 279, "annotations": []}
{"role": "student", "content": "thank you!", "session_id": 18181, "sequence_id": 280, "annotations": []}
{"role": "volunteer", "content": "hello", "session_id": 18189, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "Hi, I wanted your help with a question like Find (f\u22c5g)(x) when f(x)=x^2+4x\u221221 and g(x)=3/x^2\u22129", "session_id": 18189, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "okay give me one moment", "session_id": 18189, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "Wait how did you do that?", "session_id": 18189, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "give me one sec im going to write it out then explain", "session_id": 18189, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "okay so in step one we multiple the numerator", "session_id": 18189, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "so 3 * x^2 +4x-21", "session_id": 18189, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "Why 3?", "session_id": 18189, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "the g(x)= 3/x^2 -9", "session_id": 18189, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "the numerator you provided shows a three", "session_id": 18189, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "Right will that be it all the time?", "session_id": 18189, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 18189, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "Okay got it", "session_id": 18189, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "if it makes it easier you can also do this", "session_id": 18189, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "so you see how i wrote a one under the f(x)?", "session_id": 18189, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 18189, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "I'm sorry, I am getting a call. I'll be back in 2 minutes", "session_id": 18189, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "if you make it into a fraction it is easy to remember to multiple across", "session_id": 18189, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "no worries", "session_id": 18189, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "ill be here", "session_id": 18189, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "Okay I'm back", "session_id": 18189, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "welcome back", "session_id": 18189, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "Thank you.", "session_id": 18189, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "so you see how it is easy to multiply across when you make the f(x) a fraction also", "session_id": 18189, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 18189, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "okay so then we need to factor (x^2+4x-21)", "session_id": 18189, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "do you know how?", "session_id": 18189, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "or would you like me to explain how", "session_id": 18189, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "Right I have problems with factoring. I can never remember how to", "session_id": 18189, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "oh okay well what we are looking for is two number which can add up to \"B\" or in this situation 4 and those same numbers must multiply to be \"C\" or in this situation -21", "session_id": 18189, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "7 and -3", "session_id": 18189, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "so if we take 7 and 3 that would multiply to 21 but it would not add to 4. thus we need to make the 3 negative so we get +4 and -21. if we did it where the 7 is negative then we get -4  and -21 which would be incorrect", "session_id": 18189, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "does that make sense?", "session_id": 18189, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 18189, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "okay so you would do the same with the denominator which is (x^2-9)", "session_id": 18189, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "Right how do we do this since nothing equals x^2", "session_id": 18189, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "3 x 3 = 9 but we need it to be negative thus we make one of the threes negative", "session_id": 18189, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "so the important thing you need to learn moving forward is the formula", "session_id": 18189, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "so x^2+bx+c", "session_id": 18189, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "so since the 9 has no x next to is we know it is c", "session_id": 18189, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "does that make sense", "session_id": 18189, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "Yes what is bx though?", "session_id": 18189, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "there is no bx so if it helps you understand it better you can make it a 0x", "session_id": 18189, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "so then you need two numbers which would add to 0 and multiply to -9", "session_id": 18189, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "thus 3-3=0 3 * -3= -9", "session_id": 18189, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "Okay got it", "session_id": 18189, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "do you want me to write it out and explain it on the board?", "session_id": 18189, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "does it make sense?", "session_id": 18189, "sequence_id": 47, "annotations": []}
{"role": "student", "content": "I think so.", "session_id": 18189, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "im going to continue explaining but im going to return to this when we finish so i can give you another example to help you get it", "session_id": 18189, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "so then in step two we see what is the same and cancel it out", "session_id": 18189, "sequence_id": 50, "annotations": []}
{"role": "student", "content": "Right", "session_id": 18189, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "which then leaves us with 3(x+7)/(x+3)", "session_id": 18189, "sequence_id": 52, "annotations": []}
{"role": "student", "content": "I understand that. Why does x not equal plus or negative 3?", "session_id": 18189, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "so the best way to explain it is the denominator can never be 0", "session_id": 18189, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "x-3=0 and x+3=0 is not possible thus x cannot equal - or + 3", "session_id": 18189, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "does this make sense", "session_id": 18189, "sequence_id": 56, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 18189, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "okay so going back to the example", "session_id": 18189, "sequence_id": 58, "annotations": []}
{"role": "student", "content": "Could I try this one on my own", "session_id": 18189, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 18189, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "okay so in fx what is b and what is c", "session_id": 18189, "sequence_id": 61, "annotations": []}
{"role": "student", "content": "5x and -14", "session_id": 18189, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "perfect", "session_id": 18189, "sequence_id": 63, "annotations": []}
{"role": "student", "content": "So it needs to add to 5 and multiply to -14", "session_id": 18189, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "add to -5 and multiply to -14", "session_id": 18189, "sequence_id": 65, "annotations": []}
{"role": "student", "content": "Right", "session_id": 18189, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "you have to be careful with those thats how they like to trick you on a test", "session_id": 18189, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "okay you can continue", "session_id": 18189, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "let me know if you have questions", "session_id": 18189, "sequence_id": 69, "annotations": []}
{"role": "student", "content": "Is that right?", "session_id": 18189, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 18189, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "youre doing great", "session_id": 18189, "sequence_id": 72, "annotations": []}
{"role": "student", "content": "Would it be (x+4)(x-4)", "session_id": 18189, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "correct", "session_id": 18189, "sequence_id": 74, "annotations": []}
{"role": "student", "content": "Got it", "session_id": 18189, "sequence_id": 75, "annotations": []}
{"role": "student", "content": "I have nothing to cancel", "session_id": 18189, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "you need one more thing for your final answer", "session_id": 18189, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "that is okay sometimes there wont be anything to cancel out", "session_id": 18189, "sequence_id": 78, "annotations": []}
{"role": "student", "content": "Is that correct", "session_id": 18189, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "so what you have would stay the same and then you would also state the x does not equal + or -4", "session_id": 18189, "sequence_id": 80, "annotations": []}
{"role": "volunteer", "content": "you got it", "session_id": 18189, "sequence_id": 81, "annotations": []}
{"role": "student", "content": "Okay great. Can I try one more", "session_id": 18189, "sequence_id": 82, "annotations": []}
{"role": "volunteer", "content": "sure thing", "session_id": 18189, "sequence_id": 83, "annotations": []}
{"role": "volunteer", "content": "\u200b\nthere you go", "session_id": 18189, "sequence_id": 84, "annotations": []}
{"role": "student", "content": "Is that correct?", "session_id": 18189, "sequence_id": 85, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 18189, "sequence_id": 86, "annotations": []}
{"role": "volunteer", "content": "Good job", "session_id": 18189, "sequence_id": 87, "annotations": []}
{"role": "volunteer", "content": "great", "session_id": 18189, "sequence_id": 88, "annotations": []}
{"role": "student", "content": "That made it alot easier. Thank you so much", "session_id": 18189, "sequence_id": 89, "annotations": []}
{"role": "student", "content": "Do you have anymore time?", "session_id": 18189, "sequence_id": 90, "annotations": []}
{"role": "volunteer", "content": "no problem im glad i made it easier to understand", "session_id": 18189, "sequence_id": 91, "annotations": []}
{"role": "volunteer", "content": "yes i have a bit more time", "session_id": 18189, "sequence_id": 92, "annotations": []}
{"role": "volunteer", "content": "if you dont mind when we finish our session please leave a positive review for me :)", "session_id": 18189, "sequence_id": 93, "annotations": []}
{"role": "student", "content": "Determine the domain of the function: x-7/4x^2 -3x - 10", "session_id": 18189, "sequence_id": 94, "annotations": []}
{"role": "student", "content": "Of course, you are great", "session_id": 18189, "sequence_id": 95, "annotations": []}
{"role": "volunteer", "content": "thank you! so are you!", "session_id": 18189, "sequence_id": 96, "annotations": []}
{"role": "volunteer", "content": "is it okay if i clear the screen?", "session_id": 18189, "sequence_id": 97, "annotations": []}
{"role": "student", "content": "Give me one moment to put the equation down on my paper", "session_id": 18189, "sequence_id": 98, "annotations": []}
{"role": "volunteer", "content": "okay no problem let me know when it is okay to clear it", "session_id": 18189, "sequence_id": 99, "annotations": []}
{"role": "student", "content": "Done, you can clear", "session_id": 18189, "sequence_id": 100, "annotations": []}
{"role": "volunteer", "content": "the first step is to make the denominator equal to 0", "session_id": 18189, "sequence_id": 101, "annotations": []}
{"role": "volunteer", "content": "do you know the quadratic formula?", "session_id": 18189, "sequence_id": 102, "annotations": []}
{"role": "student", "content": "Maybe", "session_id": 18189, "sequence_id": 103, "annotations": []}
{"role": "volunteer", "content": "this is the formula", "session_id": 18189, "sequence_id": 104, "annotations": []}
{"role": "volunteer", "content": "does it look familiar?", "session_id": 18189, "sequence_id": 105, "annotations": []}
{"role": "student", "content": "Yes a little", "session_id": 18189, "sequence_id": 106, "annotations": []}
{"role": "volunteer", "content": "okay so first lets identify what is a= b= c=", "session_id": 18189, "sequence_id": 107, "annotations": []}
{"role": "volunteer", "content": "so similar to earlier we are going to look at the denominator is step one", "session_id": 18189, "sequence_id": 108, "annotations": []}
{"role": "volunteer", "content": "so A= 4 B= -3 C= -10", "session_id": 18189, "sequence_id": 109, "annotations": []}
{"role": "volunteer", "content": "does that make sense?", "session_id": 18189, "sequence_id": 110, "annotations": []}
{"role": "student", "content": "Yes because it just goes in order, that doesn't change right?", "session_id": 18189, "sequence_id": 111, "annotations": []}
{"role": "volunteer", "content": "correct", "session_id": 18189, "sequence_id": 112, "annotations": []}
{"role": "student", "content": "Okay good", "session_id": 18189, "sequence_id": 113, "annotations": []}
{"role": "volunteer", "content": "easy way to remember even if the did try to change the order", "session_id": 18189, "sequence_id": 114, "annotations": []}
{"role": "volunteer", "content": "is x^2 is always a", "session_id": 18189, "sequence_id": 115, "annotations": []}
{"role": "volunteer", "content": "x is always b", "session_id": 18189, "sequence_id": 116, "annotations": []}
{"role": "volunteer", "content": "and then number with no x is always c", "session_id": 18189, "sequence_id": 117, "annotations": []}
{"role": "volunteer", "content": "okay do you think you are able to condense this down or would you like help?", "session_id": 18189, "sequence_id": 118, "annotations": []}
{"role": "student", "content": "I can try", "session_id": 18189, "sequence_id": 119, "annotations": []}
{"role": "student", "content": "Do we do in the sqaure root first?", "session_id": 18189, "sequence_id": 120, "annotations": []}
{"role": "volunteer", "content": "you can", "session_id": 18189, "sequence_id": 121, "annotations": []}
{"role": "volunteer", "content": "is that meant to be a 4 or 9?", "session_id": 18189, "sequence_id": 122, "annotations": []}
{"role": "student", "content": "4", "session_id": 18189, "sequence_id": 123, "annotations": []}
{"role": "volunteer", "content": "explain how you got 4", "session_id": 18189, "sequence_id": 124, "annotations": []}
{"role": "student", "content": "Sorry I did mean 9 lol, not sure why I wrote 4", "session_id": 18189, "sequence_id": 125, "annotations": []}
{"role": "volunteer", "content": "all good", "session_id": 18189, "sequence_id": 126, "annotations": []}
{"role": "volunteer", "content": "remember the denominator is for the whole equation", "session_id": 18189, "sequence_id": 127, "annotations": []}
{"role": "student", "content": "Now what do we do?", "session_id": 18189, "sequence_id": 128, "annotations": []}
{"role": "volunteer", "content": "we can condense some more", "session_id": 18189, "sequence_id": 129, "annotations": []}
{"role": "volunteer", "content": "also the sign you have next to X is incorrect", "session_id": 18189, "sequence_id": 130, "annotations": []}
{"role": "volunteer", "content": "so -4(4)= -16 X -10 = 160", "session_id": 18189, "sequence_id": 131, "annotations": []}
{"role": "student", "content": "How did you get 13?", "session_id": 18189, "sequence_id": 132, "annotations": []}
{"role": "volunteer", "content": "okay so if we do the square root 169 it is equal to 13", "session_id": 18189, "sequence_id": 133, "annotations": []}
{"role": "student", "content": "Oh wait", "session_id": 18189, "sequence_id": 134, "annotations": []}
{"role": "student", "content": "I know", "session_id": 18189, "sequence_id": 135, "annotations": []}
{"role": "volunteer", "content": "okay", "session_id": 18189, "sequence_id": 136, "annotations": []}
{"role": "volunteer", "content": "so now you must solve for both of the following", "session_id": 18189, "sequence_id": 137, "annotations": []}
{"role": "volunteer", "content": "does this make sense how i set it up?", "session_id": 18189, "sequence_id": 138, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 18189, "sequence_id": 139, "annotations": []}
{"role": "volunteer", "content": "so it can be written this way", "session_id": 18189, "sequence_id": 140, "annotations": []}
{"role": "volunteer", "content": "there is also the way with the infinity signs but idk if you have seen that in class", "session_id": 18189, "sequence_id": 141, "annotations": []}
{"role": "student", "content": "Yes I do, how do I do that", "session_id": 18189, "sequence_id": 142, "annotations": []}
{"role": "volunteer", "content": "so the way you set it up if the left is the most - and as you go across it becomes more postive", "session_id": 18189, "sequence_id": 143, "annotations": []}
{"role": "volunteer", "content": "do you see that or does it make sense?", "session_id": 18189, "sequence_id": 144, "annotations": []}
{"role": "student", "content": "I don't understand", "session_id": 18189, "sequence_id": 145, "annotations": []}
{"role": "volunteer", "content": "- infinity is the most negative", "session_id": 18189, "sequence_id": 146, "annotations": []}
{"role": "volunteer", "content": "then followed by -5/4", "session_id": 18189, "sequence_id": 147, "annotations": []}
{"role": "volunteer", "content": "then -5,4 to positive 2", "session_id": 18189, "sequence_id": 148, "annotations": []}
{"role": "volunteer", "content": "then 2 , positive infinity", "session_id": 18189, "sequence_id": 149, "annotations": []}
{"role": "student", "content": "Why the 2 though?", "session_id": 18189, "sequence_id": 150, "annotations": []}
{"role": "volunteer", "content": "it make sense if you use your graphing calculator to see it", "session_id": 18189, "sequence_id": 151, "annotations": []}
{"role": "volunteer", "content": "we got 2 from earlier", "session_id": 18189, "sequence_id": 152, "annotations": []}
{"role": "volunteer", "content": "will highlight it in pink", "session_id": 18189, "sequence_id": 153, "annotations": []}
{"role": "student", "content": "Oh right", "session_id": 18189, "sequence_id": 154, "annotations": []}
{"role": "student", "content": "What is the u?", "session_id": 18189, "sequence_id": 155, "annotations": []}
{"role": "volunteer", "content": "so those are our two x's", "session_id": 18189, "sequence_id": 156, "annotations": []}
{"role": "volunteer", "content": "the U is a symbol it just connects the intervals", "session_id": 18189, "sequence_id": 157, "annotations": []}
{"role": "volunteer", "content": "so like if they ask you what are the intervals it would just be", "session_id": 18189, "sequence_id": 158, "annotations": []}
{"role": "student", "content": "Got it", "session_id": 18189, "sequence_id": 159, "annotations": []}
{"role": "volunteer", "content": "think of the U like \"and\" or like a comma if that kinda makes sense", "session_id": 18189, "sequence_id": 160, "annotations": []}
{"role": "volunteer", "content": "it is just a connector", "session_id": 18189, "sequence_id": 161, "annotations": []}
{"role": "volunteer", "content": "okay I do now have to go to class but great job", "session_id": 18189, "sequence_id": 162, "annotations": []}
{"role": "volunteer", "content": "have a great day!", "session_id": 18189, "sequence_id": 163, "annotations": []}
{"role": "volunteer", "content": "is there anything you need before i leave?", "session_id": 18189, "sequence_id": 164, "annotations": []}
{"role": "student", "content": "No, thank you so much", "session_id": 18189, "sequence_id": 165, "annotations": []}
{"role": "volunteer", "content": "you're welcome :)", "session_id": 18189, "sequence_id": 166, "annotations": []}
{"role": "volunteer", "content": "Hi Mia", "session_id": 18197, "sequence_id": 0, "annotations": [{"pii_type": "PERSON", "surrogate": "Mia", "start": 3, "end": 6}]}
{"role": "student", "content": "hi i am confused what to do", "session_id": 18197, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "Ok let me see", "session_id": 18197, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "ok", "session_id": 18197, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "Ok imagine you have 9 apples", "session_id": 18197, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "And want to arrange in 3 rows", "session_id": 18197, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "How many apples you will have in each?", "session_id": 18197, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "3", "session_id": 18197, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "Correct! What operation you will need to get your answer 3?", "session_id": 18197, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "multiplication", "session_id": 18197, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "Not much. From the perspective of having 9 and you should get 3", "session_id": 18197, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "Multiplication of 9 and 3 will get you 27", "session_id": 18197, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "not 3", "session_id": 18197, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "You want to get 3", "session_id": 18197, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "Are you here Mia?", "session_id": 18197, "sequence_id": 14, "annotations": [{"pii_type": "PERSON", "surrogate": "Mia", "start": 13, "end": 16}]}
{"role": "volunteer", "content": "Pleasantville", "session_id": 18266, "sequence_id": 0, "annotations": [{"pii_type": "LOCATION", "surrogate": "Pleasantville", "start": 0, "end": 13}]}
{"role": "student", "content": "Hello! How are you?", "session_id": 18266, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "I'm great! Thanks for asking", "session_id": 18266, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "Alright so we have arrived at the inequality unit", "session_id": 18266, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "Ok", "session_id": 18266, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "lets do this problem", "session_id": 18266, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "Yep! I think I know the concept, I am just a bit stuck", "session_id": 18266, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "oh ok", "session_id": 18266, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "would you mind telling me what exactly you are stuck with, or should i go throught this problem step by step", "session_id": 18266, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "Can I work it out on the board? I think it would take an hour if I tried typing lol", "session_id": 18266, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "ye thats true lol", "session_id": 18266, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "sure", "session_id": 18266, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "one small mistake", "session_id": 18266, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "-1/-6 is positive 1/6", "session_id": 18266, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "everything else is great", "session_id": 18266, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "Oh okay", "session_id": 18266, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "And that would b e the correct answer? (So far?) I thought that it was wrong (since it is a fraction)", "session_id": 18266, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "no", "session_id": 18266, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "oh nvm, so far yes", "session_id": 18266, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "thats the right answer", "session_id": 18266, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "However, it is not the final answer", "session_id": 18266, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "Did you learn about how to use brackets and parentheses for inequalities", "session_id": 18266, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "Yes, for this one, I think it would be (positive infinity, 1/6)?", "session_id": 18266, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "close", "session_id": 18266, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "it's negative infinity, 1/6", "session_id": 18266, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "think about it, if the inequality is h< 1/6", "session_id": 18266, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "then positive infinity wouldn't work right as h would go higher than 1/6", "session_id": 18266, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "Ohh okay, that makes sense.", "session_id": 18266, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "Yup", "session_id": 18266, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "One second, I am going to input that into the box and see if it is correct", "session_id": 18266, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "okay,", "session_id": 18266, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "It's correct!", "session_id": 18266, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "YESSSS", "session_id": 18266, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "Anything else", "session_id": 18266, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "Thank you for your help!! I was so confused at first \ud83d\ude2d", "session_id": 18266, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "lol", "session_id": 18266, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "no problem", "session_id": 18266, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "That will be all", "session_id": 18266, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "Okayy", "session_id": 18266, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "Alright see you later", "session_id": 18266, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "Have a great day, bye!", "session_id": 18266, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "Emily", "session_id": 18266, "sequence_id": 41, "annotations": [{"pii_type": "PERSON", "surrogate": "Emily", "start": 0, "end": 5}]}
{"role": "volunteer", "content": "Hi!", "session_id": 18292, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "Hi Jay", "session_id": 18292, "sequence_id": 1, "annotations": [{"pii_type": "PERSON", "surrogate": "Jay", "start": 3, "end": 6}]}
{"role": "student", "content": "Im uploading the page", "session_id": 18292, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "Can you tell me how to find the points of these lines?", "session_id": 18292, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "so that I can thenfind the slope", "session_id": 18292, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "Denver", "session_id": 18292, "sequence_id": 5, "annotations": [{"pii_type": "LOCATION", "surrogate": "Denver", "start": 0, "end": 6}]}
{"role": "volunteer", "content": "Ok", "session_id": 18292, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "Do you know the formula to find slope?", "session_id": 18292, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "Something like this right?", "session_id": 18292, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "I can't remeber the formula but  can look it up", "session_id": 18292, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "You've got the general idea", "session_id": 18292, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "Ok tyyy. So whats considered the numerator?", "session_id": 18292, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "We have to pick two points on line 1.", "session_id": 18292, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "ok so for line 1 is it -7,9", "session_id": 18292, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "and", "session_id": 18292, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "(-9,9)", "session_id": 18292, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "I never know if im choosing the right points", "session_id": 18292, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "You can choose any points on the line. (-9, 9) is a point, but (-7, 9) is not. (-7, 7) is.", "session_id": 18292, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "Are you able to plug those numbers into the formula?", "session_id": 18292, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "Yes but im still kinda confused to where to look to fin the right points", "session_id": 18292, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "ohhh", "session_id": 18292, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "All the red points are on the line (they are not all the points on the line, but they are some)", "session_id": 18292, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "Oh I gave you negative -7,7 but thats on line two sorry", "session_id": 18292, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "(-7, 7) is on line 1. It's the orange point.", "session_id": 18292, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "and thats not a point?", "session_id": 18292, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "(-7, 7) is a point on line 1. (-7, 9) is not a point on line 1.", "session_id": 18292, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "got that now.. tyyy soo much. ok now with the slope", "session_id": 18292, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "I dont really understnd what the numbers next to the letters mean", "session_id": 18292, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "y_2", "session_id": 18292, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "-y_1", "session_id": 18292, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "It means it's the y coordinate from the second ordered pair minus the y coordinate from the first ordered pair. I wrote each letter below its corresponding number.", "session_id": 18292, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "Ok please give me one sec to plug it to mak sure I understand", "session_id": 18292, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "Ok", "session_id": 18292, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "oh you already did it.. Let me look at it and compare it to the graph", "session_id": 18292, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "would it become a positive?", "session_id": 18292, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "Yes", "session_id": 18292, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "simplify?", "session_id": 18292, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "-9 + 7 is -2", "session_id": 18292, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "would I still subtract? with the plus sign? lol", "session_id": 18292, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "The answer then would be -1", "session_id": 18292, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "Yes, that is the simplified answer. You are adding 7 to -9 in the denominator, which is 2.", "session_id": 18292, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "ohhhhh", "session_id": 18292, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "i have to remember that", "session_id": 18292, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "getting points for line 2", "session_id": 18292, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "Ok", "session_id": 18292, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "(3,6)(-3,-2)", "session_id": 18292, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "Yes, you can use those", "session_id": 18292, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "k", "session_id": 18292, "sequence_id": 47, "annotations": []}
{"role": "student", "content": "4?", "session_id": 18292, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "I did something wrong", "session_id": 18292, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "-2 - 6 is -8", "session_id": 18292, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "-3 - 3 is -6", "session_id": 18292, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "Help me with that part please", "session_id": 18292, "sequence_id": 52, "annotations": []}
{"role": "student", "content": "im not subtracting", "session_id": 18292, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "When you subtract, you move to the left on the number line", "session_id": 18292, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "So 6 to the left of -2 is -8", "session_id": 18292, "sequence_id": 55, "annotations": []}
{"role": "student", "content": "oh if im already negative 2 and i add a negative 6 it's negative 8", "session_id": 18292, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "Yes, you can look at it as adding negative six or subtracting positive six", "session_id": 18292, "sequence_id": 57, "annotations": []}
{"role": "student", "content": "but it say minus so i guess that confused me", "session_id": 18292, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "You can subtract numbers from negative numbers, you're just starting to the left of zero and moving farther to the left of zero", "session_id": 18292, "sequence_id": 59, "annotations": []}
{"role": "student", "content": "hmmm ok makes sense", "session_id": 18292, "sequence_id": 60, "annotations": []}
{"role": "student", "content": "would the answer be 4/3 simplified", "session_id": 18292, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "Yes", "session_id": 18292, "sequence_id": 62, "annotations": []}
{"role": "student", "content": "yaayy!", "session_id": 18292, "sequence_id": 63, "annotations": []}
{"role": "student", "content": "I do want to make sure I got the negative and positive part right.", "session_id": 18292, "sequence_id": 64, "annotations": []}
{"role": "student", "content": "tyyy", "session_id": 18292, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "Nice work. I like how you persevered through this problem.", "session_id": 18292, "sequence_id": 66, "annotations": []}
{"role": "student", "content": "Tyyyy :) :) now I know how thanks to you!", "session_id": 18292, "sequence_id": 67, "annotations": []}
{"role": "student", "content": "Can you give me an example that I can subtract to find the slope to make sure under stand the negative portion?", "session_id": 18292, "sequence_id": 68, "annotations": []}
{"role": "student", "content": "well a problem not example", "session_id": 18292, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "Do you have other practice problems you can use, or do you want me to give you one?", "session_id": 18292, "sequence_id": 70, "annotations": []}
{"role": "student", "content": "Let me look in my classkick", "session_id": 18292, "sequence_id": 71, "annotations": []}
{"role": "student", "content": "line 1- (4,-4)", "session_id": 18292, "sequence_id": 72, "annotations": []}
{"role": "student", "content": "(4,-4)(1,-)", "session_id": 18292, "sequence_id": 73, "annotations": []}
{"role": "student", "content": "(1,-1)", "session_id": 18292, "sequence_id": 74, "annotations": []}
{"role": "student", "content": "can i use those? for line 1?", "session_id": 18292, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "Hmm, be careful. Those aren't points on line 1 (green line). You can use (-4, 2) and (0, -1)", "session_id": 18292, "sequence_id": 76, "annotations": []}
{"role": "student", "content": "ohhh.. -4,2 didn't seem like a point. I will try these you gave", "session_id": 18292, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "It's the point at the intersection of lines 1 and 2", "session_id": 18292, "sequence_id": 78, "annotations": []}
{"role": "student", "content": "ok the intersection makes the point, right?", "session_id": 18292, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "No, that's just where this point is.", "session_id": 18292, "sequence_id": 80, "annotations": []}
{"role": "volunteer", "content": "I marked each point on the graph so you can visualize it easier", "session_id": 18292, "sequence_id": 81, "annotations": []}
{"role": "student", "content": "I looked closer there is a point", "session_id": 18292, "sequence_id": 82, "annotations": []}
{"role": "student", "content": "ty", "session_id": 18292, "sequence_id": 83, "annotations": []}
{"role": "student", "content": "doing the problem now", "session_id": 18292, "sequence_id": 84, "annotations": []}
{"role": "student", "content": "does it look correct so far?", "session_id": 18292, "sequence_id": 85, "annotations": []}
{"role": "volunteer", "content": "No, I think you mixed up the numbers", "session_id": 18292, "sequence_id": 86, "annotations": []}
{"role": "student", "content": "sheesh", "session_id": 18292, "sequence_id": 87, "annotations": []}
{"role": "student", "content": "let me look again", "session_id": 18292, "sequence_id": 88, "annotations": []}
{"role": "student", "content": "what about now?", "session_id": 18292, "sequence_id": 89, "annotations": []}
{"role": "student", "content": "working on the next one", "session_id": 18292, "sequence_id": 90, "annotations": []}
{"role": "volunteer", "content": "Correct!", "session_id": 18292, "sequence_id": 91, "annotations": []}
{"role": "student", "content": "next points (-3,4)(-6,-1)", "session_id": 18292, "sequence_id": 92, "annotations": []}
{"role": "volunteer", "content": "Close. The first one should be (-3, 3).", "session_id": 18292, "sequence_id": 93, "annotations": []}
{"role": "student", "content": "im blind apparently. Sam", "session_id": 18292, "sequence_id": 94, "annotations": [{"pii_type": "PERSON", "surrogate": "Sam", "start": 21, "end": 24}]}
{"role": "student", "content": "-4/9?", "session_id": 18292, "sequence_id": 95, "annotations": []}
{"role": "student", "content": "thats wrong. I wil figure it out", "session_id": 18292, "sequence_id": 96, "annotations": []}
{"role": "student", "content": "no 4/3", "session_id": 18292, "sequence_id": 97, "annotations": []}
{"role": "volunteer", "content": "Close. The numerator is correct, but the denominator is not. -6 - (-3) is -6 + 3, or -3.", "session_id": 18292, "sequence_id": 98, "annotations": []}
{"role": "student", "content": "it say 4/3 is right", "session_id": 18292, "sequence_id": 99, "annotations": []}
{"role": "volunteer", "content": "Yes", "session_id": 18292, "sequence_id": 100, "annotations": []}
{"role": "student", "content": "was it positive because the numerator and the denominator was negative?", "session_id": 18292, "sequence_id": 101, "annotations": []}
{"role": "volunteer", "content": "Yep", "session_id": 18292, "sequence_id": 102, "annotations": []}
{"role": "student", "content": "ohh yeah tyyy!", "session_id": 18292, "sequence_id": 103, "annotations": []}
{"role": "student", "content": "that is all :)", "session_id": 18292, "sequence_id": 104, "annotations": []}
{"role": "volunteer", "content": "Ok, have a good night and keep working hard!", "session_id": 18292, "sequence_id": 105, "annotations": []}
{"role": "student", "content": "TYYYY enjoy your night.", "session_id": 18292, "sequence_id": 106, "annotations": []}
{"role": "student", "content": "Hi!", "session_id": 18300, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "Hi! What can I help you with?", "session_id": 18300, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "I\u2019m having issues with this problem", "session_id": 18300, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "Okay I see it!", "session_id": 18300, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "So start with the definition of complementary anggles", "session_id": 18300, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "angles*", "session_id": 18300, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "Ummm a 90\u00b0 angle that\u2019s been bisected by a ray?", "session_id": 18300, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "Idk", "session_id": 18300, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "Almost! Two complementary angles add up to 90 degrees", "session_id": 18300, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "And you often see them represented as you described", "session_id": 18300, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "OHHHHH IS IT ONE OF THOSE 180\u00b0 ONES?.", "session_id": 18300, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "Where it\u2019s straight across?", "session_id": 18300, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "Or wait no", "session_id": 18300, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "It's just like those problems but you want them to add up to 90 degrees instead!", "session_id": 18300, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "Wait", "session_id": 18300, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "How are the angles not connected by a point though in the problem?", "session_id": 18300, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "What do you mean by that?", "session_id": 18300, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "Like the vertex", "session_id": 18300, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "Oh yes they would look something like that, I was just clarifying the actual definition of the angles", "session_id": 18300, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "Oh", "session_id": 18300, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "It'd be something like that, and I think that's what you drew (it was kind of blocked so I couldn't see all of it)", "session_id": 18300, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "So knowing that UVW + XYZ = 90, do you know how we could start to approach this?", "session_id": 18300, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "Set both equations equal to 90?", "session_id": 18300, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "Yes!", "session_id": 18300, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "Make sure to include both at once though to represent both angles adding to 90 degrees", "session_id": 18300, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "Is this right?", "session_id": 18300, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "Double check your work on solving for x, because those add to 50 instead of 90", "session_id": 18300, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "That's the best way to check if you're right", "session_id": 18300, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "I need to check my answers pls", "session_id": 18347, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "hello!", "session_id": 18347, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "Hi", "session_id": 18347, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "What do you need?", "session_id": 18347, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "I need to check my answer", "session_id": 18347, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "okay", "session_id": 18347, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "How did you come up with the bottom equation", "session_id": 18347, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "1/7 x - 6/7", "session_id": 18347, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "first I found the slope by doing (-2--8/-1--2) and then I put it into point slope form to find the y intercept", "session_id": 18347, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "what is the problem asking for you to do", "session_id": 18347, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "I uploaded it", "session_id": 18347, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "Okay i see it", "session_id": 18347, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "So the first equation is right", "session_id": 18347, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "x+1 is correct", "session_id": 18347, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "but the next equation is not", "session_id": 18347, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "why?", "session_id": 18347, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "The equation you wrote, 1/7 x - 6/7, what kind of equation is that?", "session_id": 18347, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "Linear, quadratic, etc.", "session_id": 18347, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "linear", "session_id": 18347, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "And when looking at the graph", "session_id": 18347, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "Does the part before 1 look like a line", "session_id": 18347, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "I'm not too sure what that function would be x^3?", "session_id": 18347, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "that's super close", "session_id": 18347, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "cube root x?", "session_id": 18347, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "Yep", "session_id": 18347, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "but what would you put under it?", "session_id": 18347, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "like under the cube root", "session_id": 18347, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "just x", "session_id": 18347, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "ooh ok and would the rule beside it stay the same or is that also wrong", "session_id": 18347, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "The rule is right :)", "session_id": 18347, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "yay!", "session_id": 18347, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "do u have time to check more of my answers?", "session_id": 18347, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 18347, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "Okay numbers 45, 47, and 49 all look good", "session_id": 18347, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "yay!", "session_id": 18347, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "Did you get 83 for number 51?", "session_id": 18347, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "yes", "session_id": 18347, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "Okay that's right", "session_id": 18347, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "yay!", "session_id": 18347, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "also how would u graph step functions? like for F(x)= step functions thingy -x, would it be like a -x slope but instead of line it would be points and to the left side the small line would go left and towards the right side the lil line would go right?", "session_id": 18347, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "Yes it would look like that", "session_id": 18347, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "ooh ok I get it", "session_id": 18347, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "It looks kind of like stairs", "session_id": 18347, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "Hence the name \"step function\"", "session_id": 18347, "sequence_id": 43, "annotations": []}
{"role": "student", "content": "got it", "session_id": 18347, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "or atleast that's how I like to think about it", "session_id": 18347, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "ok I think that's pretty much it for now ty sm!", "session_id": 18347, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "Okay no problem", "session_id": 18347, "sequence_id": 47, "annotations": []}
{"role": "student", "content": "I don't know how to get this into hyperbole form", "session_id": 18361, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "hello!", "session_id": 18361, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "Hi!", "session_id": 18361, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "I'm confused on what u would do, divide by 16? but that would not work bcz you have to have 1 on the right side so I'm confused on what to do", "session_id": 18361, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "Ah, I see why you're confused! you can't divide by 16, but the first term can be divided by 1/16, since dividing by 1/16 is the same as multiplying by 16!", "session_id": 18361, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "so u would have (x+5)/1/16 - (y-3) =1?", "session_id": 18361, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "with added exponents that just takes too long to typw", "session_id": 18361, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "close yeah! You'd just divide the y-3 by 1 to get it in the correct form", "session_id": 18361, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "ok I get it!", "session_id": 18361, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "Great job!", "session_id": 18361, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "I have another question, do u have time?", "session_id": 18361, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "Yeah, what's up?", "session_id": 18361, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "I'm confused on 27", "session_id": 18361, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "I got to the part of y/3 - x/4 =1 , but I don't know how to make it squared", "session_id": 18361, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "Okay, so a simpler way to do that is to just square both sides and then move the x term over!", "session_id": 18361, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "ohhh that was so simple ty!", "session_id": 18361, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "Of course!", "session_id": 18361, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "that's it for now Charlie and have a great day!", "session_id": 18361, "sequence_id": 17, "annotations": [{"pii_type": "PERSON", "surrogate": "Charlie", "start": 18, "end": 25}]}
{"role": "volunteer", "content": "You too! :)", "session_id": 18361, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "Hi!", "session_id": 18352, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "Hii", "session_id": 18352, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "How are you? What help do you need?", "session_id": 18352, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "I\u2019m alright I think and I\u2019m kinda struggling with my homework atm..", "session_id": 18352, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "ok! i can try to help out! i dont have much time but i can help you with the problems you need help with!!", "session_id": 18352, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "whats the first question you need help with?", "session_id": 18352, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "(-2)to the power of 2 - (3)(-4)(2)", "session_id": 18352, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "ok so first you should solve  2 - (3)(-4)(2)", "session_id": 18352, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "because that is in your exponent", "session_id": 18352, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "what do you get?", "session_id": 18352, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "4 - (3)(-4)2) ?", "session_id": 18352, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "no 2", "session_id": 18352, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "My bad", "session_id": 18352, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "because -2 is the base", "session_id": 18352, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "Oh", "session_id": 18352, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "oh its ok!", "session_id": 18352, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "youre doing good!", "session_id": 18352, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "2+24?", "session_id": 18352, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "yes!", "session_id": 18352, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "now you do (-2)^26", "session_id": 18352, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "-52?", "session_id": 18352, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "no, i think you have to use a calculater and put (-2) to the power of 26", "session_id": 18352, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "Alright mbb", "session_id": 18352, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "oh no! you did really good!", "session_id": 18352, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "hey im sorry i have to go but please text if you have any problems and ill try to respond right away!", "session_id": 18352, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "Good job today!!", "session_id": 18352, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "I need help with like 18 math problems im not sure about how to do", "session_id": 18362, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "No problem, can you show me them?", "session_id": 18362, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "im confused on how to do this one", "session_id": 18362, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "This one is interesting", "session_id": 18362, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "Do you know the formula for average rate of change?", "session_id": 18362, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "y=x??", "session_id": 18362, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "or is it f(b)-f(a)/b-a", "session_id": 18362, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "The second one", "session_id": 18362, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "The first one you listed I believe is the slope intercept form of a linear equation", "session_id": 18362, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "ohh okay!!", "session_id": 18362, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "so how would I go about plugging the equation into the formula?", "session_id": 18362, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "So this is a trick question but theres some reasoning behind it", "session_id": 18362, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "The f(20)-f(10) / 10 is actually a rate of change formula since 10 can be rewritten as 20-10", "session_id": 18362, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "and f(20)-f(10) / 20-10 matches f(b)-f(a) / b-a", "session_id": 18362, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "So the question is effectively asking for the rate of change of f", "session_id": 18362, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "by plugging that into the calculator I got an error, did I do it wrong??", "session_id": 18362, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "The question doesn't need a calculator since the answer is already in the question", "session_id": 18362, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "and the answer is the last one correct??", "session_id": 18362, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "Well", "session_id": 18362, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "The slope (or rate of change) of a linear function is the same across the entire function", "session_id": 18362, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "So if the slope of f is 12/5 for one interval its 12/5 for all other intervals", "session_id": 18362, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "And f(20) - f(10) / 20-10 is the rate of change of f across the interval [10, 20]", "session_id": 18362, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "uh", "session_id": 18362, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "The question is asking for the rate of change, not the interval", "session_id": 18362, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "And the rate of change across the entire function is 12/5", "session_id": 18362, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "this may be silly but would you mind solving an example problem similar to this one for reference", "session_id": 18362, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "I wasn't sure that was the correct answer, but the way I read the message made it sound like that it was obviously simple lol", "session_id": 18362, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "Alright sure", "session_id": 18362, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "So lets say the rate of change of a linear function a is 4 across the interval [0, 1]", "session_id": 18362, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "And you have to calculate the rate of change of function a across a different interval", "session_id": 18362, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "regardless of what that interval is the rate of change will always be 4", "session_id": 18362, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "so basically f(b)) - f(a) / b-a = 4 no matter what", "session_id": 18362, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "as long as youre solving for something in that form for a function the answer will always be the rate of change", "session_id": 18362, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "so in this case since f(20) - f(10) / 20-10 is the right form for rate of change", "session_id": 18362, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "it will equal 12/5 since thats what the rate of change is for the entire function", "session_id": 18362, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "if that makes sense", "session_id": 18362, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "okay yes that makes sense", "session_id": 18362, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "so the entire thing equals 12/5", "session_id": 18362, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "Yes its 12/5", "session_id": 18362, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "Do you need help with this one?", "session_id": 18362, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "yes please :)", "session_id": 18362, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "Casey", "session_id": 18362, "sequence_id": 41, "annotations": [{"pii_type": "PERSON", "surrogate": "Casey", "start": 0, "end": 5}]}
{"role": "volunteer", "content": "Could you try zooming into the question my eyesight is horrendous", "session_id": 18362, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "oh lawd yes I can", "session_id": 18362, "sequence_id": 43, "annotations": []}
{"role": "student", "content": "tell me if I need to move it", "session_id": 18362, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "Ok so this question is asking for if the rate of change is staying constant across the range of values", "session_id": 18362, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "Are you allowed to use a calculator for this question?", "session_id": 18362, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "yes", "session_id": 18362, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "Graphing or scientific?", "session_id": 18362, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "im not sure", "session_id": 18362, "sequence_id": 49, "annotations": []}
{"role": "student", "content": "I assume graphing", "session_id": 18362, "sequence_id": 50, "annotations": []}
{"role": "student", "content": "??", "session_id": 18362, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "Basically what you have to do here is use the equation for rate of change", "session_id": 18362, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "for two pairs at a time", "session_id": 18362, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "Each pair is a number of servings and the total cost for that number of servings", "session_id": 18362, "sequence_id": 54, "annotations": []}
{"role": "student", "content": "how would I put it into the calculator", "session_id": 18362, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "What model of calculator is it", "session_id": 18362, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "If its not a ti84 I genuinely have no idea how to use it", "session_id": 18362, "sequence_id": 57, "annotations": []}
{"role": "student", "content": "im using the gauth calculator", "session_id": 18362, "sequence_id": 58, "annotations": []}
{"role": "student", "content": "I dont have one of my own", "session_id": 18362, "sequence_id": 59, "annotations": []}
{"role": "student", "content": "other than at school", "session_id": 18362, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "Oh", "session_id": 18362, "sequence_id": 61, "annotations": []}
{"role": "student", "content": "yep...", "session_id": 18362, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "Unfortunate", "session_id": 18362, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "Theres a method you can use with the ti84 to cheese these types of questions", "session_id": 18362, "sequence_id": 64, "annotations": []}
{"role": "student", "content": "if you were to set it up how would it look though", "session_id": 18362, "sequence_id": 65, "annotations": []}
{"role": "student", "content": "like would you set it up as a fraction", "session_id": 18362, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "To do it properly you basically have to calculate f(x2)-f(x1)/x2-x1", "session_id": 18362, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "and then another calculation", "session_id": 18362, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "and so on", "session_id": 18362, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "because that calculates the rate of change between each pair", "session_id": 18362, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "Im gonna do it myself just to make sure", "session_id": 18362, "sequence_id": 71, "annotations": []}
{"role": "student", "content": "do you have the right type of calculator", "session_id": 18362, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "Any calculator works", "session_id": 18362, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "If we do it the proper way that I described", "session_id": 18362, "sequence_id": 74, "annotations": []}
{"role": "volunteer", "content": "The fast method only works with the ti84 so we won't be using that", "session_id": 18362, "sequence_id": 75, "annotations": []}
{"role": "student", "content": "the answer to the first calculation is 4.65 correct??", "session_id": 18362, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "For the rate of change between the first two pairs yes thats correct", "session_id": 18362, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "Now you have to calculate the rate of change between (5, 33.24) and (9, 49.81)", "session_id": 18362, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "so f(9)-f(5)/9-5", "session_id": 18362, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "and then after that you have to do the rate of change between (9, 49.81) and (11, 57.96)", "session_id": 18362, "sequence_id": 80, "annotations": []}
{"role": "volunteer", "content": "its a long process", "session_id": 18362, "sequence_id": 81, "annotations": []}
{"role": "student", "content": "would the answer be 4.075", "session_id": 18362, "sequence_id": 82, "annotations": []}
{"role": "volunteer", "content": "Well the question is asking for if the rate of change is increasing, decreasing, or staying the same", "session_id": 18362, "sequence_id": 83, "annotations": []}
{"role": "volunteer", "content": "So  you have to compare the rates of change between the points", "session_id": 18362, "sequence_id": 84, "annotations": []}
{"role": "volunteer", "content": "So if the rate of change is changing from 4.65 to 4.075 then that means its decreasing", "session_id": 18362, "sequence_id": 85, "annotations": []}
{"role": "student", "content": "okay so the rate of change is decreasing while the number of servings is increasing", "session_id": 18362, "sequence_id": 86, "annotations": []}
{"role": "volunteer", "content": "As the number of servings increase, the rate of change decreases yes", "session_id": 18362, "sequence_id": 87, "annotations": []}
{"role": "student", "content": "what's the difference between quadratic and linear", "session_id": 18362, "sequence_id": 88, "annotations": []}
{"role": "volunteer", "content": "Theres multiple differences", "session_id": 18362, "sequence_id": 89, "annotations": []}
{"role": "volunteer", "content": "Linear equations are mostly in the form y = mx + b", "session_id": 18362, "sequence_id": 90, "annotations": []}
{"role": "volunteer", "content": "but quadratic equations are in the form y = ax^2 + bx + c", "session_id": 18362, "sequence_id": 91, "annotations": []}
{"role": "student", "content": "how could I tell which one it is by just looking at h", "session_id": 18362, "sequence_id": 92, "annotations": []}
{"role": "volunteer", "content": "By looking at differences", "session_id": 18362, "sequence_id": 93, "annotations": []}
{"role": "volunteer", "content": "Basically find the difference between each value of h", "session_id": 18362, "sequence_id": 94, "annotations": []}
{"role": "volunteer", "content": "so between 18 and -12", "session_id": 18362, "sequence_id": 95, "annotations": []}
{"role": "volunteer", "content": "and then -12 and -29", "session_id": 18362, "sequence_id": 96, "annotations": []}
{"role": "volunteer", "content": "and -29 and -33 and so on", "session_id": 18362, "sequence_id": 97, "annotations": []}
{"role": "student", "content": "are they all supposed to follow a pattern", "session_id": 18362, "sequence_id": 98, "annotations": []}
{"role": "volunteer", "content": "Yes", "session_id": 18362, "sequence_id": 99, "annotations": []}
{"role": "volunteer", "content": "if they are all equal the function is linear", "session_id": 18362, "sequence_id": 100, "annotations": []}
{"role": "volunteer", "content": "If the differences of the differences are equal then the function is quadratic", "session_id": 18362, "sequence_id": 101, "annotations": []}
{"role": "volunteer", "content": "aka second differences", "session_id": 18362, "sequence_id": 102, "annotations": []}
{"role": "student", "content": "I feel like its quadratic", "session_id": 18362, "sequence_id": 103, "annotations": []}
{"role": "volunteer", "content": "It probably is", "session_id": 18362, "sequence_id": 104, "annotations": []}
{"role": "volunteer", "content": "Ill check", "session_id": 18362, "sequence_id": 105, "annotations": []}
{"role": "volunteer", "content": "difference between -12 and 18 is -30", "session_id": 18362, "sequence_id": 106, "annotations": []}
{"role": "volunteer", "content": "difference between -29 and -12 is -17", "session_id": 18362, "sequence_id": 107, "annotations": []}
{"role": "volunteer", "content": "difference between -33 and -29 is 4", "session_id": 18362, "sequence_id": 108, "annotations": []}
{"role": "volunteer", "content": "difference between -33 and -24 is 9", "session_id": 18362, "sequence_id": 109, "annotations": []}
{"role": "volunteer", "content": "yea its quadratic", "session_id": 18362, "sequence_id": 110, "annotations": []}
{"role": "volunteer", "content": "If you look at the differences between the differences you can see that its 13", "session_id": 18362, "sequence_id": 111, "annotations": []}
{"role": "volunteer", "content": "so its quadratic since the second differences are equal", "session_id": 18362, "sequence_id": 112, "annotations": []}
{"role": "volunteer", "content": "You should also probably give an example", "session_id": 18362, "sequence_id": 113, "annotations": []}
{"role": "volunteer", "content": "or i guess not", "session_id": 18362, "sequence_id": 114, "annotations": []}
{"role": "volunteer", "content": "what you said is right but", "session_id": 18362, "sequence_id": 115, "annotations": []}
{"role": "student", "content": "what would be a good example", "session_id": 18362, "sequence_id": 116, "annotations": []}
{"role": "volunteer", "content": "You should probably state that the differences between -12 and 18 is -30, the difference between -29 and -12 is -17, and the difference between -33 and -29 is -4, and the differences between those differences is 13", "session_id": 18362, "sequence_id": 117, "annotations": []}
{"role": "volunteer", "content": "What you already stated there was right though", "session_id": 18362, "sequence_id": 118, "annotations": []}
{"role": "volunteer", "content": "Also its less of an example and more of a reason", "session_id": 18362, "sequence_id": 119, "annotations": []}
{"role": "volunteer", "content": "That was bad wording on my part", "session_id": 18362, "sequence_id": 120, "annotations": []}
{"role": "volunteer", "content": "yea thats good", "session_id": 18362, "sequence_id": 121, "annotations": []}
{"role": "volunteer", "content": "as long as you understand it", "session_id": 18362, "sequence_id": 122, "annotations": []}
{"role": "student", "content": "yes I do, thank you for explaining it to me!", "session_id": 18362, "sequence_id": 123, "annotations": []}
{"role": "volunteer", "content": "no problem", "session_id": 18362, "sequence_id": 124, "annotations": []}
{"role": "student", "content": "I may ask my teacher for additional time to finish these", "session_id": 18362, "sequence_id": 125, "annotations": []}
{"role": "volunteer", "content": "When are they due", "session_id": 18362, "sequence_id": 126, "annotations": []}
{"role": "student", "content": "we've been working on them for a few days (Jefferson High School tour) but she's giving us until 11:45", "session_id": 18362, "sequence_id": 127, "annotations": [{"pii_type": "SCHOOL", "surrogate": "Jefferson High School", "start": 43, "end": 64}]}
{"role": "student", "content": "she's only given us class time until today", "session_id": 18362, "sequence_id": 128, "annotations": []}
{"role": "student", "content": "so its been hard to watching videos and apply it until today", "session_id": 18362, "sequence_id": 129, "annotations": []}
{"role": "volunteer", "content": "ah", "session_id": 18362, "sequence_id": 130, "annotations": []}
{"role": "volunteer", "content": "so we have 15 minutes?", "session_id": 18362, "sequence_id": 131, "annotations": []}
{"role": "student", "content": "yes...", "session_id": 18362, "sequence_id": 132, "annotations": []}
{"role": "volunteer", "content": "\ud83e\udd40", "session_id": 18362, "sequence_id": 133, "annotations": []}
{"role": "student", "content": "very very sad", "session_id": 18362, "sequence_id": 134, "annotations": []}
{"role": "volunteer", "content": "I guess we can speedrun", "session_id": 18362, "sequence_id": 135, "annotations": []}
{"role": "volunteer", "content": "Ok so for this one the rate of change is calculated using the same equation", "session_id": 18362, "sequence_id": 136, "annotations": []}
{"role": "student", "content": "okay and is that the equation we started with", "session_id": 18362, "sequence_id": 137, "annotations": []}
{"role": "volunteer", "content": "f(b)) - f(a) / b-a", "session_id": 18362, "sequence_id": 138, "annotations": []}
{"role": "volunteer", "content": "Looking at the graph the points we have are (-3, 4) (-2, -3) (-1, -6) (0, -5) (1, 0)", "session_id": 18362, "sequence_id": 139, "annotations": []}
{"role": "volunteer", "content": "Part A we need the rate of change between (-3, 4) (-2, -3)", "session_id": 18362, "sequence_id": 140, "annotations": []}
{"role": "volunteer", "content": "-3-4 / -2-(-3) = -7", "session_id": 18362, "sequence_id": 141, "annotations": []}
{"role": "volunteer", "content": "thats the answer to part a", "session_id": 18362, "sequence_id": 142, "annotations": []}
{"role": "volunteer", "content": "part b is with (-2, -3) (-1, -6)", "session_id": 18362, "sequence_id": 143, "annotations": []}
{"role": "volunteer", "content": "thats -3", "session_id": 18362, "sequence_id": 144, "annotations": []}
{"role": "volunteer", "content": "oh wait i can just look at the graph", "session_id": 18362, "sequence_id": 145, "annotations": []}
{"role": "volunteer", "content": "part c is 1 part d is 5", "session_id": 18362, "sequence_id": 146, "annotations": []}
{"role": "volunteer", "content": "You can just look at the vertical distance between the points since the horizontal distance is always 1", "session_id": 18362, "sequence_id": 147, "annotations": []}
{"role": "student", "content": "is that what e is??", "session_id": 18362, "sequence_id": 148, "annotations": []}
{"role": "volunteer", "content": "e is where you have to find the difference between each of those rates of change", "session_id": 18362, "sequence_id": 149, "annotations": []}
{"role": "volunteer", "content": "you have to find the second differences", "session_id": 18362, "sequence_id": 150, "annotations": []}
{"role": "volunteer", "content": "so its 5-1 or 1-(-3)", "session_id": 18362, "sequence_id": 151, "annotations": []}
{"role": "volunteer", "content": "well", "session_id": 18362, "sequence_id": 152, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 18362, "sequence_id": 153, "annotations": []}
{"role": "volunteer", "content": "buts asking for the rate of change of the rate of change", "session_id": 18362, "sequence_id": 154, "annotations": []}
{"role": "volunteer", "content": "and thats constant at 3", "session_id": 18362, "sequence_id": 155, "annotations": []}
{"role": "volunteer", "content": "or 4", "session_id": 18362, "sequence_id": 156, "annotations": []}
{"role": "volunteer", "content": "its 4 not 3", "session_id": 18362, "sequence_id": 157, "annotations": []}
{"role": "student", "content": "okay I'm submitting it", "session_id": 18362, "sequence_id": 158, "annotations": []}
{"role": "student", "content": "I appreciate you helping me so much Liam!! normally I'm more knowledgeable but I'm very very tired. you helped me very well though!! I understood the way you described everything. this is a very helpful tool!!", "session_id": 18362, "sequence_id": 159, "annotations": [{"pii_type": "PERSON", "surrogate": "Liam", "start": 36, "end": 40}]}
{"role": "student", "content": "your doing the lords work Liam", "session_id": 18362, "sequence_id": 160, "annotations": [{"pii_type": "PERSON", "surrogate": "Liam", "start": 26, "end": 30}]}
{"role": "volunteer", "content": "thanks", "session_id": 18362, "sequence_id": 161, "annotations": []}
{"role": "volunteer", "content": "your very patient too", "session_id": 18362, "sequence_id": 162, "annotations": []}
{"role": "volunteer", "content": "and smart", "session_id": 18362, "sequence_id": 163, "annotations": []}
{"role": "volunteer", "content": "i thought most of my explanations were buns", "session_id": 18362, "sequence_id": 164, "annotations": []}
{"role": "student", "content": "your very nonchalant with your explanations so that was really good", "session_id": 18362, "sequence_id": 165, "annotations": []}
{"role": "student", "content": "10/10 epic experience", "session_id": 18362, "sequence_id": 166, "annotations": []}
{"role": "student", "content": "so when you sign on to this can you request people or is it just random?", "session_id": 18362, "sequence_id": 167, "annotations": []}
{"role": "volunteer", "content": "No idea", "session_id": 18362, "sequence_id": 168, "annotations": []}
{"role": "volunteer", "content": "Did you request me particularly or was I just randomly assigned?", "session_id": 18362, "sequence_id": 169, "annotations": []}
{"role": "student", "content": "just randomly assigned", "session_id": 18362, "sequence_id": 170, "annotations": []}
{"role": "student", "content": "but I think your teaching style thats why I was asking for future refernce", "session_id": 18362, "sequence_id": 171, "annotations": []}
{"role": "volunteer", "content": "oh alright", "session_id": 18362, "sequence_id": 172, "annotations": []}
{"role": "student", "content": "I hope you have a nice night, thank you again!!", "session_id": 18362, "sequence_id": 173, "annotations": []}
{"role": "volunteer", "content": "Hi there", "session_id": 18377, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "Hello!\nNice to meet you\nHope your day is going well", "session_id": 18377, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "How are you feeling today?", "session_id": 18377, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "yes I am well. Thanks", "session_id": 18377, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "Test coming up on October 15th \nThe teacher is rushing us students\nCan you help me understand a topic?", "session_id": 18377, "sequence_id": 4, "annotations": [{"pii_type": "DATE", "surrogate": "October 15th", "start": 18, "end": 30}]}
{"role": "volunteer", "content": "Geometry.. let's tame the wild.", "session_id": 18377, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "do you want to get on the board", "session_id": 18377, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "Yeah let me show you what they gave us to complete ", "session_id": 18377, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "I know teachers may some times rush to finish the syllabus", "session_id": 18377, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "ok waiting...:-)", "session_id": 18377, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "Hope you can see", "session_id": 18377, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "Yeah \nFirst semester and she's already rushing us \u3160\u3160", "session_id": 18377, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "can you rotate it 90deg anti clockwise", "session_id": 18377, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "WHat do you need help with - slope?", "session_id": 18377, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "https://example.com do you even rotate it?", "session_id": 18377, "sequence_id": 14, "annotations": [{"pii_type": "URL", "surrogate": "https://example.com", "start": 0, "end": 19}]}
{"role": "student", "content": "I'm new to this website", "session_id": 18377, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "it's Ok. let's start", "session_id": 18377, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "Thanks", "session_id": 18377, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "first plot the points.", "session_id": 18377, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "are you OK with that  Q#5", "session_id": 18377, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "???", "session_id": 18377, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "Point A is x= 0 and y = 6", "session_id": 18377, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "got it", "session_id": 18377, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "do you see it on the board", "session_id": 18377, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "So we start on the y axis?", "session_id": 18377, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "lets try B to understand", "session_id": 18377, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "Okay ", "session_id": 18377, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "x = 3 and y = 4", "session_id": 18377, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "go to 3 on the X- Axis", "session_id": 18377, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "Okay", "session_id": 18377, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "cool", "session_id": 18377, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "now C", "session_id": 18377, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "-1,-2", "session_id": 18377, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "Help me with that one please!", "session_id": 18377, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "x= -1 (left of zero) and y = -2 (down below zero)", "session_id": 18377, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "in RED you see it", "session_id": 18377, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "Yes I do", "session_id": 18377, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "now slope (AB) = 4-6/(3-0)", "session_id": 18377, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "(4-6)/(3-0) = -2/3 | let me know if you understood it", "session_id": 18377, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "Yes I did", "session_id": 18377, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "cool", "session_id": 18377, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "That applies to all sloped", "session_id": 18377, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "slopes", "session_id": 18377, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "Okay", "session_id": 18377, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "do you see the formula on the board", "session_id": 18377, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "No", "session_id": 18377, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "now", "session_id": 18377, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "it is derived from pythogras theorm", "session_id": 18377, "sequence_id": 47, "annotations": []}
{"role": "student", "content": "The m represents the length right?", "session_id": 18377, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "(that's what our teacher said)", "session_id": 18377, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "yes measure", "session_id": 18377, "sequence_id": 50, "annotations": []}
{"role": "student", "content": "Okay", "session_id": 18377, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "2^2 + -3^2 = 4 + 9 = 13", "session_id": 18377, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "did that help?", "session_id": 18377, "sequence_id": 53, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 18377, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "nice. you are quick to grasp", "session_id": 18377, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "apply the same and you are done", "session_id": 18377, "sequence_id": 56, "annotations": []}
{"role": "student", "content": "Okay", "session_id": 18377, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "let me know when you are done.", "session_id": 18377, "sequence_id": 58, "annotations": []}
{"role": "student", "content": "?", "session_id": 18377, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "solving", "session_id": 18377, "sequence_id": 60, "annotations": []}
{"role": "student", "content": "Question", "session_id": 18377, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "Any other help", "session_id": 18377, "sequence_id": 62, "annotations": []}
{"role": "student", "content": "Where did you get all these numbers from?", "session_id": 18377, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "which ones?", "session_id": 18377, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "the coordinates are given", "session_id": 18377, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "A(0,6)", "session_id": 18377, "sequence_id": 66, "annotations": []}
{"role": "student", "content": "No \nYou square\nNot those\n\n2^2\n3^3", "session_id": 18377, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "oh A(0,6) and B(3,4) |\n\n= sqrt [(6-4) ^2 + (0-3)^2]\n= 4 + 9 = sqrt(13)", "session_id": 18377, "sequence_id": 68, "annotations": []}
{"role": "student", "content": "So that's the side of side A and B?", "session_id": 18377, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 18377, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "m(CB) = sqrt(52)", "session_id": 18377, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "you will find AB = DC and AD = BC", "session_id": 18377, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "I can wait till you solve it. OK :-)", "session_id": 18377, "sequence_id": 73, "annotations": []}
{"role": "student", "content": "You're so nice thank you!", "session_id": 18377, "sequence_id": 74, "annotations": []}
{"role": "volunteer", "content": "there for you to succeed", "session_id": 18377, "sequence_id": 75, "annotations": []}
{"role": "student", "content": "Can you help me solve the second question \nIt's a bit more confusing ", "session_id": 18377, "sequence_id": 76, "annotations": []}
{"role": "student", "content": "Then I'll do this one on my own", "session_id": 18377, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "Is it on the board?", "session_id": 18377, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "OK will do", "session_id": 18377, "sequence_id": 79, "annotations": []}
{"role": "student", "content": "Yeah\nThe one next to the first one", "session_id": 18377, "sequence_id": 80, "annotations": []}
{"role": "volunteer", "content": "can you plot them for me", "session_id": 18377, "sequence_id": 81, "annotations": []}
{"role": "student", "content": "Can you zoom in on it if possible????", "session_id": 18377, "sequence_id": 82, "annotations": []}
{"role": "volunteer", "content": "good?", "session_id": 18377, "sequence_id": 83, "annotations": []}
{"role": "student", "content": "Yes sir", "session_id": 18377, "sequence_id": 84, "annotations": []}
{"role": "volunteer", "content": "A(1,0)", "session_id": 18377, "sequence_id": 85, "annotations": []}
{"role": "student", "content": "Can you see???", "session_id": 18377, "sequence_id": 86, "annotations": []}
{"role": "volunteer", "content": "try new color", "session_id": 18377, "sequence_id": 87, "annotations": []}
{"role": "volunteer", "content": "good - A", "session_id": 18377, "sequence_id": 88, "annotations": []}
{"role": "volunteer", "content": "B?", "session_id": 18377, "sequence_id": 89, "annotations": []}
{"role": "volunteer", "content": "good - B", "session_id": 18377, "sequence_id": 90, "annotations": []}
{"role": "volunteer", "content": "C and D", "session_id": 18377, "sequence_id": 91, "annotations": []}
{"role": "volunteer", "content": "cool", "session_id": 18377, "sequence_id": 92, "annotations": []}
{"role": "student", "content": "Oki?", "session_id": 18377, "sequence_id": 93, "annotations": []}
{"role": "volunteer", "content": "yes. you done it", "session_id": 18377, "sequence_id": 94, "annotations": []}
{"role": "volunteer", "content": "use the same formulas", "session_id": 18377, "sequence_id": 95, "annotations": []}
{"role": "volunteer", "content": "simple?", "session_id": 18377, "sequence_id": 96, "annotations": []}
{"role": "volunteer", "content": "I have trick for you.", "session_id": 18377, "sequence_id": 97, "annotations": []}
{"role": "student", "content": "Okay what is it???", "session_id": 18377, "sequence_id": 98, "annotations": []}
{"role": "volunteer", "content": "if line travels up or right slope is +ve", "session_id": 18377, "sequence_id": 99, "annotations": []}
{"role": "volunteer", "content": "else negative", "session_id": 18377, "sequence_id": 100, "annotations": []}
{"role": "student", "content": "Oki thanks", "session_id": 18377, "sequence_id": 101, "annotations": []}
{"role": "student", "content": "Slope of AB 3/2?", "session_id": 18377, "sequence_id": 102, "annotations": []}
{"role": "volunteer", "content": "for this one or previous", "session_id": 18377, "sequence_id": 103, "annotations": []}
{"role": "student", "content": "This one", "session_id": 18377, "sequence_id": 104, "annotations": []}
{"role": "volunteer", "content": "(4-0)/(2-1)", "session_id": 18377, "sequence_id": 105, "annotations": []}
{"role": "volunteer", "content": "change in y / change in x", "session_id": 18377, "sequence_id": 106, "annotations": []}
{"role": "student", "content": "Is it 4/3?", "session_id": 18377, "sequence_id": 107, "annotations": []}
{"role": "student", "content": "Hold on\nBrain isn't working", "session_id": 18377, "sequence_id": 108, "annotations": []}
{"role": "student", "content": "Help", "session_id": 18377, "sequence_id": 109, "annotations": []}
{"role": "volunteer", "content": "it's OK.", "session_id": 18377, "sequence_id": 110, "annotations": []}
{"role": "volunteer", "content": "4/1", "session_id": 18377, "sequence_id": 111, "annotations": []}
{"role": "volunteer", "content": "so 4", "session_id": 18377, "sequence_id": 112, "annotations": []}
{"role": "volunteer", "content": "do it slowly, take your time, breathe", "session_id": 18377, "sequence_id": 113, "annotations": []}
{"role": "student", "content": "So my teacher told me a different way", "session_id": 18377, "sequence_id": 114, "annotations": []}
{"role": "volunteer", "content": "tell me", "session_id": 18377, "sequence_id": 115, "annotations": []}
{"role": "student", "content": "Let me show you a different way on the board", "session_id": 18377, "sequence_id": 116, "annotations": []}
{"role": "student", "content": "See how I did thay", "session_id": 18377, "sequence_id": 117, "annotations": []}
{"role": "student", "content": "Like rise/run", "session_id": 18377, "sequence_id": 118, "annotations": []}
{"role": "volunteer", "content": "let me see", "session_id": 18377, "sequence_id": 119, "annotations": []}
{"role": "volunteer", "content": "change in y = 4", "session_id": 18377, "sequence_id": 120, "annotations": []}
{"role": "volunteer", "content": "sorry A point is wrong", "session_id": 18377, "sequence_id": 121, "annotations": []}
{"role": "volunteer", "content": "(1,0)", "session_id": 18377, "sequence_id": 122, "annotations": []}
{"role": "student", "content": "Ahh", "session_id": 18377, "sequence_id": 123, "annotations": []}
{"role": "student", "content": "Now wonder I was wrong", "session_id": 18377, "sequence_id": 124, "annotations": []}
{"role": "volunteer", "content": "Yes, teacher is right", "session_id": 18377, "sequence_id": 125, "annotations": []}
{"role": "volunteer", "content": "so now you see 4/1", "session_id": 18377, "sequence_id": 126, "annotations": []}
{"role": "volunteer", "content": "change in y/x", "session_id": 18377, "sequence_id": 127, "annotations": []}
{"role": "student", "content": "How am I to do that?", "session_id": 18377, "sequence_id": 128, "annotations": []}
{"role": "student", "content": "Ahh wait like 4/1", "session_id": 18377, "sequence_id": 129, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 18377, "sequence_id": 130, "annotations": []}
{"role": "volunteer", "content": "good catch on pint A", "session_id": 18377, "sequence_id": 131, "annotations": []}
{"role": "volunteer", "content": "point*", "session_id": 18377, "sequence_id": 132, "annotations": []}
{"role": "student", "content": "Oki so\nSide BC\n2/9???", "session_id": 18377, "sequence_id": 133, "annotations": []}
{"role": "volunteer", "content": ":-)", "session_id": 18377, "sequence_id": 134, "annotations": []}
{"role": "volunteer", "content": "try the change in y/x; you will not be wrong", "session_id": 18377, "sequence_id": 135, "annotations": []}
{"role": "student", "content": "?", "session_id": 18377, "sequence_id": 136, "annotations": []}
{"role": "volunteer", "content": "and note the direction slope is negative", "session_id": 18377, "sequence_id": 137, "annotations": []}
{"role": "student", "content": "-2/9??", "session_id": 18377, "sequence_id": 138, "annotations": []}
{"role": "volunteer", "content": "how did you get 2 and 9", "session_id": 18377, "sequence_id": 139, "annotations": []}
{"role": "student", "content": "Rise/run", "session_id": 18377, "sequence_id": 140, "annotations": []}
{"role": "student", "content": "Rise from c \nRun to B\nOur teacher taught us that \ud83e\udd23", "session_id": 18377, "sequence_id": 141, "annotations": []}
{"role": "volunteer", "content": "rise is (2-4)", "session_id": 18377, "sequence_id": 142, "annotations": []}
{"role": "student", "content": "????", "session_id": 18377, "sequence_id": 143, "annotations": []}
{"role": "volunteer", "content": "from 2 to 4", "session_id": 18377, "sequence_id": 144, "annotations": []}
{"role": "volunteer", "content": "so rise is fine", "session_id": 18377, "sequence_id": 145, "annotations": []}
{"role": "student", "content": "How about the other one???", "session_id": 18377, "sequence_id": 146, "annotations": []}
{"role": "volunteer", "content": "run is 2 to 10", "session_id": 18377, "sequence_id": 147, "annotations": []}
{"role": "student", "content": "So you're telling me it's 8?", "session_id": 18377, "sequence_id": 148, "annotations": []}
{"role": "volunteer", "content": "yes -2/8", "session_id": 18377, "sequence_id": 149, "annotations": []}
{"role": "volunteer", "content": "or -1/4", "session_id": 18377, "sequence_id": 150, "annotations": []}
{"role": "volunteer", "content": "rise and run can mess up your +/-", "session_id": 18377, "sequence_id": 151, "annotations": []}
{"role": "student", "content": "Yea", "session_id": 18377, "sequence_id": 152, "annotations": []}
{"role": "volunteer", "content": "change in y from B to C = 4-2 = 2", "session_id": 18377, "sequence_id": 153, "annotations": []}
{"role": "volunteer", "content": "change in x from B to C = 2-10 = -8", "session_id": 18377, "sequence_id": 154, "annotations": []}
{"role": "student", "content": "Slope of CD 3/5???", "session_id": 18377, "sequence_id": 155, "annotations": []}
{"role": "volunteer", "content": "y/x = (-2/8)", "session_id": 18377, "sequence_id": 156, "annotations": []}
{"role": "student", "content": "Okay", "session_id": 18377, "sequence_id": 157, "annotations": []}
{"role": "volunteer", "content": "bingo", "session_id": 18377, "sequence_id": 158, "annotations": []}
{"role": "volunteer", "content": "and see it is +ve", "session_id": 18377, "sequence_id": 159, "annotations": []}
{"role": "volunteer", "content": "so you know you got the sign right", "session_id": 18377, "sequence_id": 160, "annotations": []}
{"role": "student", "content": "So\nDA -1/4?", "session_id": 18377, "sequence_id": 161, "annotations": []}
{"role": "volunteer", "content": "I have to go now. Hope it helped. You can fav me to do another session.", "session_id": 18377, "sequence_id": 162, "annotations": []}
{"role": "student", "content": "Yes \nSure", "session_id": 18377, "sequence_id": 163, "annotations": []}
{"role": "student", "content": "Thank you", "session_id": 18377, "sequence_id": 164, "annotations": []}
{"role": "volunteer", "content": "D is right", "session_id": 18377, "sequence_id": 165, "annotations": []}
{"role": "volunteer", "content": "also m AB and m BC is on the board in RED", "session_id": 18377, "sequence_id": 166, "annotations": []}
{"role": "volunteer", "content": "have fun!", "session_id": 18377, "sequence_id": 167, "annotations": []}
{"role": "student", "content": "Have a great rest of your day", "session_id": 18377, "sequence_id": 168, "annotations": []}
{"role": "student", "content": "You too", "session_id": 18377, "sequence_id": 169, "annotations": []}
{"role": "volunteer", "content": "cheers", "session_id": 18377, "sequence_id": 170, "annotations": []}
{"role": "volunteer", "content": "good to see you on Ben", "session_id": 18377, "sequence_id": 171, "annotations": [{"pii_type": "PERSON", "surrogate": "Ben", "start": 19, "end": 22}]}
{"role": "student", "content": "You too\nThanks", "session_id": 18377, "sequence_id": 172, "annotations": []}
{"role": "volunteer", "content": "hello", "session_id": 18418, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "hello! wanna check my answers for about 30 questions, but let me know how many you can check", "session_id": 18418, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "30 is too much", "session_id": 18418, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "yes I know", "session_id": 18418, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "what is the topic?", "session_id": 18418, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "lemme upload the first section its odd questions only and you'll see what the topic is", "session_id": 18418, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "Have you done them?", "session_id": 18418, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "yea imma put my answers in the chat just lemme know if its write or no", "session_id": 18418, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "right or wrong*", "session_id": 18418, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "21.5i, 23. i sqrt10. 25. 12 i sqrt2 , 27. -i 3sqrt2. 29. -13. 31. -2 sqrt 6. 33. sqrt 3", "session_id": 18418, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "lemme know if ur able to read that its hard to write in chat", "session_id": 18418, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "those are ok", "session_id": 18418, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "yay! do u have time to check more? its ok if no!", "session_id": 18418, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "a few more", "session_id": 18418, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "ok", "session_id": 18418, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "but you seem to know how to do them.", "session_id": 18418, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "yea but they kinda change, you don't have to grade all the oddd ones I'm just gunna give you my answers for the ones I'm not too sure ab", "session_id": 18418, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 18418, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "39. -2 , 45. (-1+ i 3 , 51. 1-10i 53. -13 + 4 i sqrt2", "session_id": 18418, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "Those look correct.", "session_id": 18418, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "yay!", "session_id": 18418, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "I think that will do it for me.", "session_id": 18418, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "ok have a good day!", "session_id": 18418, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "yout too", "session_id": 18418, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "i need help with my homework D:", "session_id": 18400, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "alright! I'm here to help :)", "session_id": 18400, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "what problems are you working on?", "session_id": 18400, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "4-6 right now", "session_id": 18400, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "idk what im doin D:", "session_id": 18400, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "alright, give me a second to take a look at it!", "session_id": 18400, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "okay, I see!", "session_id": 18400, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "okay, so, what is an odd function?", "session_id": 18400, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "what do you know about them?", "session_id": 18400, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "that the exponents are odd", "session_id": 18400, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "yes, that's right!", "session_id": 18400, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "anything else?", "session_id": 18400, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "any fun properties they have?", "session_id": 18400, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "idk anything else thats all my teacher taught me D:", "session_id": 18400, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "okay, that's fine!", "session_id": 18400, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "so, odd functions have a really useful property that'll make all of these problems a lot easier", "session_id": 18400, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "so imagine you have some generic function f(x), right", "session_id": 18400, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "make an odd function for f of x", "session_id": 18400, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "any function for an example", "session_id": 18400, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "f(x)= x^3-9x", "session_id": 18400, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "amazing", "session_id": 18400, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "okay, now, given that, what's f(-x)?", "session_id": 18400, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "the opposite of it?", "session_id": 18400, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "what do you mean by opposite?", "session_id": 18400, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "(you're right)", "session_id": 18400, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "like x^3+9x?", "session_id": 18400, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "x^3?", "session_id": 18400, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "yes", "session_id": 18400, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "try plugging in -x into x^3", "session_id": 18400, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "do you get x^3 or -x^3?", "session_id": 18400, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "-x^3?", "session_id": 18400, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "yesss, exactly!", "session_id": 18400, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "okay, so, f(x) = x^3 - 9 and f(-x) = -x^3 + 9", "session_id": 18400, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "what's true about the relationship of the two?", "session_id": 18400, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "is there an operation you could use to get from one to the other?", "session_id": 18400, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "theyre like the conjugate pairs", "session_id": 18400, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "idk.", "session_id": 18400, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "no, that's a great thought!", "session_id": 18400, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "yeah, the - 9 changed to a + 9", "session_id": 18400, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "but the x^3 switched signs too", "session_id": 18400, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "all of the parts switched signs, here", "session_id": 18400, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "which is equivalent to multiplying by...", "session_id": 18400, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "-1", "session_id": 18400, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "yessss, exactly!!!", "session_id": 18400, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "by multiplying f(x) by -1, you get f(-x), right?", "session_id": 18400, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "so -f(x) = f(-x)", "session_id": 18400, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "and this holds for all odd functions, you should play around with it later!", "session_id": 18400, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "oki", "session_id": 18400, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "does that make sense? it's a pretty tricky concept, I always struggled with it", "session_id": 18400, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "yea i kinda understand", "session_id": 18400, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "alright--we can come back to it at any point", "session_id": 18400, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "just remember for now, -f(x) = f(-x)", "session_id": 18400, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "okay, so lets say we look at the first relationship, where g(a) = -17", "session_id": 18400, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "we want to find what a makes this true, right?", "session_id": 18400, "sequence_id": 53, "annotations": []}
{"role": "student", "content": "uh huh", "session_id": 18400, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "okay, so, let's apply this relationship", "session_id": 18400, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "-g(a) = f(-a) for odd functions", "session_id": 18400, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "so what's -g(a)?", "session_id": 18400, "sequence_id": 57, "annotations": []}
{"role": "student", "content": "17", "session_id": 18400, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "yess, amazing", "session_id": 18400, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "okay, so lets plug that in to our equation", "session_id": 18400, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "17 = f(-a)", "session_id": 18400, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "sorry, g(-a)", "session_id": 18400, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "can you find a place on the chart where g of something equals 17?", "session_id": 18400, "sequence_id": 63, "annotations": []}
{"role": "student", "content": "17,23", "session_id": 18400, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "ooh, close!", "session_id": 18400, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "here, does x = 17 or does g(x) = 17?", "session_id": 18400, "sequence_id": 66, "annotations": []}
{"role": "student", "content": "g(x)", "session_id": 18400, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "looking at the chart, g(x) is at the bottom. is the 17 at the bottom there?", "session_id": 18400, "sequence_id": 68, "annotations": []}
{"role": "student", "content": "yea", "session_id": 18400, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "for which one?", "session_id": 18400, "sequence_id": 70, "annotations": []}
{"role": "student", "content": "12", "session_id": 18400, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "there you go!", "session_id": 18400, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "amazing, okay", "session_id": 18400, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "so if f(-a) = 17, what's -a?", "session_id": 18400, "sequence_id": 74, "annotations": []}
{"role": "student", "content": "wait how am i supposed to know which is g(-a) and -g(x)", "session_id": 18400, "sequence_id": 75, "annotations": []}
{"role": "student", "content": "-g(a)*", "session_id": 18400, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "okay, yeah, sorry!", "session_id": 18400, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "I think I didn't explain that very clearly", "session_id": 18400, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "the thing is, they're equal", "session_id": 18400, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "so either one works", "session_id": 18400, "sequence_id": 80, "annotations": []}
{"role": "volunteer", "content": "we could do it the other way around", "session_id": 18400, "sequence_id": 81, "annotations": []}
{"role": "volunteer", "content": "so like if g(a) was 3 for example, than -g(a) which is -3 would equal g(-3)", "session_id": 18400, "sequence_id": 82, "annotations": []}
{"role": "volunteer", "content": "or other way around, you could plug it into the other side and get the same result", "session_id": 18400, "sequence_id": 83, "annotations": []}
{"role": "volunteer", "content": "I'm sorry, it's confusing to explain it over messages", "session_id": 18400, "sequence_id": 84, "annotations": []}
{"role": "student", "content": "its okayy", "session_id": 18400, "sequence_id": 85, "annotations": []}
{"role": "student", "content": "you can speak if you want \ud83d\ude2d", "session_id": 18400, "sequence_id": 86, "annotations": []}
{"role": "volunteer", "content": "I'm in a library :sobs:", "session_id": 18400, "sequence_id": 87, "annotations": []}
{"role": "student", "content": "oooo", "session_id": 18400, "sequence_id": 88, "annotations": []}
{"role": "volunteer", "content": "okay, wait, let's go back to the problems", "session_id": 18400, "sequence_id": 89, "annotations": []}
{"role": "volunteer", "content": "I think (I hope) it'll make a bit more sense afterwards", "session_id": 18400, "sequence_id": 90, "annotations": []}
{"role": "volunteer", "content": "so far we've got g(-a) = -g(a), and -g(a) is 17", "session_id": 18400, "sequence_id": 91, "annotations": []}
{"role": "volunteer", "content": "we know these are equal and there's only one value for a", "session_id": 18400, "sequence_id": 92, "annotations": []}
{"role": "volunteer", "content": "so g(-a) = 17", "session_id": 18400, "sequence_id": 93, "annotations": []}
{"role": "volunteer", "content": "and g(12) = 17", "session_id": 18400, "sequence_id": 94, "annotations": []}
{"role": "volunteer", "content": "as you found out earlier", "session_id": 18400, "sequence_id": 95, "annotations": []}
{"role": "volunteer", "content": "so, what do you think a might be?", "session_id": 18400, "sequence_id": 96, "annotations": []}
{"role": "student", "content": "uh", "session_id": 18400, "sequence_id": 97, "annotations": []}
{"role": "student", "content": "12..", "session_id": 18400, "sequence_id": 98, "annotations": []}
{"role": "volunteer", "content": "close!!!", "session_id": 18400, "sequence_id": 99, "annotations": []}
{"role": "student", "content": "-12\u2026.", "session_id": 18400, "sequence_id": 100, "annotations": []}
{"role": "volunteer", "content": "yes!!!!!!!", "session_id": 18400, "sequence_id": 101, "annotations": []}
{"role": "volunteer", "content": "because g(-(-12)) = g(12) = 17", "session_id": 18400, "sequence_id": 102, "annotations": []}
{"role": "volunteer", "content": "so what would a be?", "session_id": 18400, "sequence_id": 103, "annotations": []}
{"role": "student", "content": "uh what", "session_id": 18400, "sequence_id": 104, "annotations": []}
{"role": "volunteer", "content": "you already did it", "session_id": 18400, "sequence_id": 105, "annotations": []}
{"role": "student", "content": "-12?", "session_id": 18400, "sequence_id": 106, "annotations": []}
{"role": "volunteer", "content": "just confirming lol", "session_id": 18400, "sequence_id": 107, "annotations": []}
{"role": "volunteer", "content": "YES", "session_id": 18400, "sequence_id": 108, "annotations": []}
{"role": "volunteer", "content": "amazing job!!", "session_id": 18400, "sequence_id": 109, "annotations": []}
{"role": "volunteer", "content": "essentially, what you need to do for this is solve the equation -g(x) = g(-x)", "session_id": 18400, "sequence_id": 110, "annotations": []}
{"role": "volunteer", "content": "it's just like an algebra problem, except that you have to deal with functions so it's a bit trickier", "session_id": 18400, "sequence_id": 111, "annotations": []}
{"role": "volunteer", "content": "does that sort of make sense?", "session_id": 18400, "sequence_id": 112, "annotations": []}
{"role": "student", "content": "uh kinda", "session_id": 18400, "sequence_id": 113, "annotations": []}
{"role": "student", "content": "lets try to solve for b and maybe ill get it lol", "session_id": 18400, "sequence_id": 114, "annotations": []}
{"role": "volunteer", "content": "yes, let's!", "session_id": 18400, "sequence_id": 115, "annotations": []}
{"role": "volunteer", "content": "okay, so, do you have any ideas on how we can start with this one?", "session_id": 18400, "sequence_id": 116, "annotations": []}
{"role": "volunteer", "content": "(it's okay if not too!)", "session_id": 18400, "sequence_id": 117, "annotations": []}
{"role": "student", "content": "-g(b)=g(-b)?", "session_id": 18400, "sequence_id": 118, "annotations": []}
{"role": "volunteer", "content": "amazing!!!", "session_id": 18400, "sequence_id": 119, "annotations": []}
{"role": "volunteer", "content": "is there anything you can fill in there?", "session_id": 18400, "sequence_id": 120, "annotations": []}
{"role": "student", "content": "-g(b)=11", "session_id": 18400, "sequence_id": 121, "annotations": []}
{"role": "volunteer", "content": "ooh, close!", "session_id": 18400, "sequence_id": 122, "annotations": []}
{"role": "volunteer", "content": "g(b) = 11 for sure, nice find!", "session_id": 18400, "sequence_id": 123, "annotations": []}
{"role": "volunteer", "content": "so what would -g(b) be?", "session_id": 18400, "sequence_id": 124, "annotations": []}
{"role": "student", "content": "ohh", "session_id": 18400, "sequence_id": 125, "annotations": []}
{"role": "student", "content": "-11", "session_id": 18400, "sequence_id": 126, "annotations": []}
{"role": "volunteer", "content": "perfect!", "session_id": 18400, "sequence_id": 127, "annotations": []}
{"role": "volunteer", "content": "okay, so now we have -11 = g(-a)", "session_id": 18400, "sequence_id": 128, "annotations": []}
{"role": "volunteer", "content": "any ideas of where to go from here?", "session_id": 18400, "sequence_id": 129, "annotations": []}
{"role": "volunteer", "content": "do you see any g(x) that equals -11?", "session_id": 18400, "sequence_id": 130, "annotations": []}
{"role": "student", "content": "uh -11 would be -4, so opposite it would he 4?", "session_id": 18400, "sequence_id": 131, "annotations": []}
{"role": "volunteer", "content": "YES!!!", "session_id": 18400, "sequence_id": 132, "annotations": []}
{"role": "volunteer", "content": "amazing work!!", "session_id": 18400, "sequence_id": 133, "annotations": []}
{"role": "volunteer", "content": "great job sticking with it, this is tricky", "session_id": 18400, "sequence_id": 134, "annotations": []}
{"role": "volunteer", "content": "alright, one more to go!", "session_id": 18400, "sequence_id": 135, "annotations": []}
{"role": "volunteer", "content": "c is a little bit different, but nothing you can't handle", "session_id": 18400, "sequence_id": 136, "annotations": []}
{"role": "volunteer", "content": "do you want to work on it now?", "session_id": 18400, "sequence_id": 137, "annotations": []}
{"role": "student", "content": "uhm can i try it on my own and see if i can get it", "session_id": 18400, "sequence_id": 138, "annotations": []}
{"role": "volunteer", "content": "yes, I'd love that :)", "session_id": 18400, "sequence_id": 139, "annotations": []}
{"role": "student", "content": "i got 8", "session_id": 18400, "sequence_id": 140, "annotations": []}
{"role": "volunteer", "content": "amazing! that's what I got too", "session_id": 18400, "sequence_id": 141, "annotations": []}
{"role": "student", "content": "yay :D", "session_id": 18400, "sequence_id": 142, "annotations": []}
{"role": "volunteer", "content": "amazing work, this is quite tricky and you handled it so well!", "session_id": 18400, "sequence_id": 143, "annotations": []}
{"role": "student", "content": "the way my teacher taught it was super weird tooo\u2026 ill show u later when we get on the next page \ud83d\udc94\ud83d\udc94", "session_id": 18400, "sequence_id": 144, "annotations": []}
{"role": "volunteer", "content": "and then looking at 5 and 6, you seem to have the right idea", "session_id": 18400, "sequence_id": 145, "annotations": []}
{"role": "volunteer", "content": "because the property f(-x) = -f(x) means that it point degree symmetry", "session_id": 18400, "sequence_id": 146, "annotations": []}
{"role": "volunteer", "content": "which basically means that if you rotate one half of it 2 quadrants clockwise, it overlays the top of the other one", "session_id": 18400, "sequence_id": 147, "annotations": []}
{"role": "volunteer", "content": "which it looks like at least for 5 it definitely does!", "session_id": 18400, "sequence_id": 148, "annotations": []}
{"role": "student", "content": "i have no idea how to to 6", "session_id": 18400, "sequence_id": 149, "annotations": []}
{"role": "volunteer", "content": "that's okay!", "session_id": 18400, "sequence_id": 150, "annotations": []}
{"role": "volunteer", "content": "let's plot points, that's always useful", "session_id": 18400, "sequence_id": 151, "annotations": []}
{"role": "volunteer", "content": "what's a point on that side of the graph?", "session_id": 18400, "sequence_id": 152, "annotations": []}
{"role": "volunteer", "content": "*the left", "session_id": 18400, "sequence_id": 153, "annotations": []}
{"role": "volunteer", "content": "that you already have?", "session_id": 18400, "sequence_id": 154, "annotations": []}
{"role": "student", "content": "(-1,-2), (-2,-3), (-3,-2), (-4,-1)", "session_id": 18400, "sequence_id": 155, "annotations": []}
{"role": "volunteer", "content": "yep, those all look great", "session_id": 18400, "sequence_id": 156, "annotations": []}
{"role": "volunteer", "content": "okay, let's start with the first one", "session_id": 18400, "sequence_id": 157, "annotations": []}
{"role": "student", "content": "wait i think i did it", "session_id": 18400, "sequence_id": 158, "annotations": []}
{"role": "volunteer", "content": "ooh, okay!", "session_id": 18400, "sequence_id": 159, "annotations": []}
{"role": "volunteer", "content": "yessss!!", "session_id": 18400, "sequence_id": 160, "annotations": []}
{"role": "volunteer", "content": "good job!", "session_id": 18400, "sequence_id": 161, "annotations": []}
{"role": "student", "content": "ok and then the next page is hell.", "session_id": 18400, "sequence_id": 162, "annotations": []}
{"role": "volunteer", "content": "I'm so sorry, but I have to go now :(", "session_id": 18400, "sequence_id": 163, "annotations": []}
{"role": "student", "content": "oh", "session_id": 18400, "sequence_id": 164, "annotations": []}
{"role": "student", "content": "okayy", "session_id": 18400, "sequence_id": 165, "annotations": []}
{"role": "student", "content": "Alex thank you", "session_id": 18400, "sequence_id": 166, "annotations": [{"pii_type": "PERSON", "surrogate": "Alex", "start": 0, "end": 4}]}
{"role": "volunteer", "content": "please put in another request, I'm sure someone else is available now!", "session_id": 18400, "sequence_id": 167, "annotations": []}
{"role": "student", "content": "Hello! I have a pdf full of the equations that I have done in class but did not understand well. The reason why most of them are all answered is because we did them in class together but I still did not understand them. Can you go in order on the pdf and rewrite the equations with different numbers and I will solve on my paper and the whiteboard.", "session_id": 18428, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "https://docs.google.com/document/d/123xyz", "session_id": 18428, "sequence_id": 1, "annotations": [{"pii_type": "URL", "surrogate": "https://docs.google.com/document/d/123xyz", "start": 0, "end": 41}]}
{"role": "student", "content": "I'm on page 9", "session_id": 18428, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "Its on the whiteboard as well", "session_id": 18428, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "Hey Liam! im taking a look now", "session_id": 18428, "sequence_id": 4, "annotations": [{"pii_type": "PERSON", "surrogate": "Liam", "start": 4, "end": 8}]}
{"role": "volunteer", "content": "so you want a question multiplying fractions?", "session_id": 18428, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "*first", "session_id": 18428, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "can you see what ive written?", "session_id": 18428, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "sorry im back", "session_id": 18428, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "yes", "session_id": 18428, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "thats not like the equation on the whiteboard", "session_id": 18428, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "im talking about page 9", "session_id": 18428, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "oh okay let me come up with something", "session_id": 18428, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "k", "session_id": 18428, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "thanks", "session_id": 18428, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "ok, if this is too hard let me know, but where do you think we would start?", "session_id": 18428, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "distribute first", "session_id": 18428, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "?", "session_id": 18428, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "yep! you may want to simplify any fractions to make things easier too", "session_id": 18428, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "so u divide 10 by 3 then multiply by 2?", "session_id": 18428, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "you would divide 3 by 10, then multiply by 2. really close though!", "session_id": 18428, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "3/10=0.3", "session_id": 18428, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "thats a decimal", "session_id": 18428, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "thats fine, you dont have to simplify 3/10 any further", "session_id": 18428, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "so its 0.3?", "session_id": 18428, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "actually do you mind writing your work on the board for me to see?", "session_id": 18428, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "sure", "session_id": 18428, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "that?", "session_id": 18428, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "almost! so for the 6.6, i know we had 0.3 before it was multiplied by 2. it might help to keep 3/10 as a fraction instead of a decimal", "session_id": 18428, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "actually lets back up a little, do you know how to simplify 2/10s?", "session_id": 18428, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "yeah im confused", "session_id": 18428, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "idk how to solve anything like this bc our equations that our teacher has never equals a decimal", "session_id": 18428, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "hi", "session_id": 18374, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "Hello!", "session_id": 18374, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "My chat was lagging, sorry for the wait.", "session_id": 18374, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "oh it's fine !", "session_id": 18374, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "How can I help you today?", "session_id": 18374, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "Is that all of the questions?", "session_id": 18374, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "no", "session_id": 18374, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "but let's start with this question", "session_id": 18374, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "Alright.", "session_id": 18374, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "What do you think is the first step of this problem?", "session_id": 18374, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "Yes, that's correct", "session_id": 18374, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "Are you familiar with PEMDAS?", "session_id": 18374, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "yes", "session_id": 18374, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "Since we have 0, we can erase that onw", "session_id": 18374, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "Not quite right", "session_id": 18374, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "9 - (-1) si the same as 9 + 1", "session_id": 18374, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "if we have two - signs they become +", "session_id": 18374, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "Yes, you are right. Great job!", "session_id": 18374, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "wait isn't it -2?", "session_id": 18374, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "Can you show me how you got that?", "session_id": 18374, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "I am sorry, 8 is correct", "session_id": 18374, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "I forgot that it was supposed to be 9 - -(-1) so that would give us 8.", "session_id": 18374, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "Hello! I have a pdf full of the equations that I have done in class but did not understand well. The reason why most of them are all answered is because we did them in class together but I still did not understand them. Can you go in order on the pdf and rewrite the equations with different numbers and I will solve on my paper and the whiteboard.", "session_id": 18440, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "https://sampledoc.net/equations_pdf", "session_id": 18440, "sequence_id": 1, "annotations": [{"pii_type": "URL", "surrogate": "https://sampledoc.net/equations_pdf", "start": 0, "end": 35}]}
{"role": "student", "content": "I am currently working on page 7 #31", "session_id": 18440, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "Yes sure! Just give me a few mins", "session_id": 18440, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "Would you like me to start with the one you are currently working on?", "session_id": 18440, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "Also I want to just let you know from the beginning that I only have time till 1:30", "session_id": 18440, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "Ok, I want to start on page 7 #31", "session_id": 18440, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "alright perfect!", "session_id": 18440, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "you can write the equation on the board", "session_id": 18440, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "Yes sorry for the delay I think my computer is having some connections issues", "session_id": 18440, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "Its ok, maybe try and refresh", "session_id": 18440, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "that usually works", "session_id": 18440, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "So sorry my page keeps going in and out I am going to end the chat and try to find my router. I really apologize for the confusion", "session_id": 18440, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "Hi Hi Ben!!", "session_id": 18447, "sequence_id": 0, "annotations": [{"pii_type": "PERSON", "surrogate": "Hi Ben!", "start": 3, "end": 10}]}
{"role": "volunteer", "content": "Hey! How's it going?", "session_id": 18447, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "Pretty good, you?", "session_id": 18447, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "I'm doing well!", "session_id": 18447, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "That\u2019s good!", "session_id": 18447, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "What can I help you with today?", "session_id": 18447, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "Okay so im working on a homework assignment rn, and i was wondering if you could help me through it", "session_id": 18447, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "Sure!", "session_id": 18447, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "How would i go about solving this?", "session_id": 18447, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "So you would take (2x+23)+(9x-5) and make it equal to 95 then solve for x", "session_id": 18447, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "Then once you find x you will plug it into 2x+23 to get ABD", "session_id": 18447, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "Ohhh okay", "session_id": 18447, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "Ben", "session_id": 18447, "sequence_id": 12, "annotations": [{"pii_type": "PERSON", "surrogate": "Ben", "start": 0, "end": 3}]}
{"role": "volunteer", "content": "Of course!", "session_id": 18447, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "Is there anything else I can help you with?", "session_id": 18447, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "Nope!", "session_id": 18447, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "Ok! goodbye!", "session_id": 18447, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "Hi, how can I help you?", "session_id": 18488, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "hi", "session_id": 18488, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "I need help on number 29", "session_id": 18488, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "Alright", "session_id": 18488, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "I'll write the steps on the whiteboard", "session_id": 18488, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "ok", "session_id": 18488, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "So let's factor out the numerators and denominators", "session_id": 18488, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "ok", "session_id": 18488, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "So we know that x^2 is just x times x", "session_id": 18488, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "Do you know how to factor out expressions?", "session_id": 18488, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 18488, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "not when the leading term is 1", "session_id": 18488, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "Okay, i'll show you a step by step on how to factor", "session_id": 18488, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "So when it starts with 1, we know that inside the parenthesis will have one in both because 1 times 1 is 1", "session_id": 18488, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "ok", "session_id": 18488, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "the probelm is i only know how do when x is first term not second", "session_id": 18488, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "Use this formula a^2-b^2=(a-b)(a+b)", "session_id": 18488, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "So for 1-x^2, it would be (1-x)(1+x)", "session_id": 18488, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "oh  i like x as first", "session_id": 18488, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "Ok you can write that as (-x+1)(x+1)", "session_id": 18488, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "ok", "session_id": 18488, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "Do you know how to factor this next one: 1 + x^2", "session_id": 18488, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "well what i did for first term is i did'", "session_id": 18488, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "-(x^2-1)", "session_id": 18488, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "which is same as -x^2+1", "session_id": 18488, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "I see. When it says factor, we want to get rid of any powers on the x as much as we can", "session_id": 18488, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "yeah but cany we do -(x^2-1)", "session_id": 18488, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "x^2 can be simplified more which is why we use the method of two separate parenthesis", "session_id": 18488, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "and then do -(x+1)(x-1)", "session_id": 18488, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "ye", "session_id": 18488, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "Yes, you would get the same result. You can do this method!", "session_id": 18488, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "ok", "session_id": 18488, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "So now what about 1+x^2? Can you factor this out?", "session_id": 18488, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "(x+1)(x-1)", "session_id": 18488, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "i mean no", "session_id": 18488, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "You can't factor this expression, it's already in it's simplest form", "session_id": 18488, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "So we'll keep this as is", "session_id": 18488, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "yep", "session_id": 18488, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "So let's move onto the next fraction", "session_id": 18488, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "Let's factor x^3 + x", "session_id": 18488, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "ok", "session_id": 18488, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "So we have a cubed root which is also x^2 times x", "session_id": 18488, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 18488, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "So lets make a parenthesis, and we lets take an x out", "session_id": 18488, "sequence_id": 43, "annotations": []}
{"role": "student", "content": "ok", "session_id": 18488, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "x(x^2+1) is the simplest form for this expression.", "session_id": 18488, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "Now we have the denominator x^3-x", "session_id": 18488, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "Let's use the same process", "session_id": 18488, "sequence_id": 47, "annotations": []}
{"role": "student", "content": "yep", "session_id": 18488, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "Instead of a positive 1, we use a negative 1 because we have a negative x", "session_id": 18488, "sequence_id": 49, "annotations": []}
{"role": "student", "content": "ok", "session_id": 18488, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "Now, let's set everything up again", "session_id": 18488, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "ok", "session_id": 18488, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "But before we write down this last denominator, we can see that this can be split up more", "session_id": 18488, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "We can further factor x^2-1 into x-1 times x+1", "session_id": 18488, "sequence_id": 54, "annotations": []}
{"role": "student", "content": "ok", "session_id": 18488, "sequence_id": 55, "annotations": []}
{"role": "student", "content": "so we cancel now?", "session_id": 18488, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "Yes!", "session_id": 18488, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "What can we cancel out first?", "session_id": 18488, "sequence_id": 58, "annotations": []}
{"role": "student", "content": "the x", "session_id": 18488, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "Yes! Great job", "session_id": 18488, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "Let's combine this all into one fraction", "session_id": 18488, "sequence_id": 61, "annotations": []}
{"role": "student", "content": "ok", "session_id": 18488, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "So we have 1-x in the numerator which can be rewritten as -(x-1)", "session_id": 18488, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "Let's rewrite again", "session_id": 18488, "sequence_id": 64, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 18488, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "x+1 is the same as 1+x", "session_id": 18488, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "And x^2+1 is the same as 1+x^2", "session_id": 18488, "sequence_id": 67, "annotations": []}
{"role": "student", "content": "yes", "session_id": 18488, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "So we have duplicates of x-1, x+1, and x^2+1. Lets cancel out these terms", "session_id": 18488, "sequence_id": 69, "annotations": []}
{"role": "student", "content": "ok", "session_id": 18488, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "All we are left is with is a - which can be rewritten as -1", "session_id": 18488, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "So -1 is our final answer!", "session_id": 18488, "sequence_id": 72, "annotations": []}
{"role": "student", "content": "ok", "session_id": 18488, "sequence_id": 73, "annotations": []}
{"role": "student", "content": "what about domaims", "session_id": 18488, "sequence_id": 74, "annotations": []}
{"role": "student", "content": "domains", "session_id": 18488, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "Domains in general ?", "session_id": 18488, "sequence_id": 76, "annotations": []}
{"role": "student", "content": "no for this problem", "session_id": 18488, "sequence_id": 77, "annotations": []}
{"role": "student", "content": "we need to find domain", "session_id": 18488, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "Let's use the denominators for both fractions", "session_id": 18488, "sequence_id": 79, "annotations": []}
{"role": "student", "content": "ok", "session_id": 18488, "sequence_id": 80, "annotations": []}
{"role": "volunteer", "content": "So the denominator for fraction 1 is 1+x^2", "session_id": 18488, "sequence_id": 81, "annotations": []}
{"role": "student", "content": "yes", "session_id": 18488, "sequence_id": 82, "annotations": []}
{"role": "volunteer", "content": "Since x^2 is greater than or equal to 0, 1+x^2 is greater than 0", "session_id": 18488, "sequence_id": 83, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 18488, "sequence_id": 84, "annotations": []}
{"role": "volunteer", "content": "Now for fraction 2, the denominator is x^3-x. We need to check to see if this expression is zero or not", "session_id": 18488, "sequence_id": 85, "annotations": []}
{"role": "student", "content": "yep", "session_id": 18488, "sequence_id": 86, "annotations": []}
{"role": "volunteer", "content": "So we set this expression equal to zero", "session_id": 18488, "sequence_id": 87, "annotations": []}
{"role": "student", "content": "yep", "session_id": 18488, "sequence_id": 88, "annotations": []}
{"role": "volunteer", "content": "So when we solve for 0, we get x=1, x=-1, and x=0", "session_id": 18488, "sequence_id": 89, "annotations": []}
{"role": "volunteer", "content": "Therefore, the domain is {-1,0,1}", "session_id": 18488, "sequence_id": 90, "annotations": []}
{"role": "student", "content": "ok", "session_id": 18488, "sequence_id": 91, "annotations": []}
{"role": "student", "content": "why cant we sex x^2+1=0", "session_id": 18488, "sequence_id": 92, "annotations": []}
{"role": "volunteer", "content": "We don't set x^2+1 to zero because it has no real solution", "session_id": 18488, "sequence_id": 93, "annotations": []}
{"role": "student", "content": "how come?", "session_id": 18488, "sequence_id": 94, "annotations": []}
{"role": "volunteer", "content": "Because when you do set this equal to zero you get x^2=-1", "session_id": 18488, "sequence_id": 95, "annotations": []}
{"role": "volunteer", "content": "The square of any real number is always positive but -1 is negative", "session_id": 18488, "sequence_id": 96, "annotations": []}
{"role": "student", "content": "what if when we multipled we got x^2=1", "session_id": 18488, "sequence_id": 97, "annotations": []}
{"role": "volunteer", "content": "Multiplied when?", "session_id": 18488, "sequence_id": 98, "annotations": []}
{"role": "student", "content": "what if isntead of x^2+1", "session_id": 18488, "sequence_id": 99, "annotations": []}
{"role": "student", "content": "we had x^2-1=0", "session_id": 18488, "sequence_id": 100, "annotations": []}
{"role": "volunteer", "content": "But that isn't the denominator in the first fraction of this problem", "session_id": 18488, "sequence_id": 101, "annotations": []}
{"role": "student", "content": "what if it was", "session_id": 18488, "sequence_id": 102, "annotations": []}
{"role": "volunteer", "content": "x^2+1=0 has no real solutions because x^2+1 is always greater than zero", "session_id": 18488, "sequence_id": 103, "annotations": []}
{"role": "student", "content": "what  if x^2-1", "session_id": 18488, "sequence_id": 104, "annotations": []}
{"role": "student", "content": "does it have a solution", "session_id": 18488, "sequence_id": 105, "annotations": []}
{"role": "volunteer", "content": "x^2 is greater than or equal to zero, therefore 1+x^2 is greater than zero", "session_id": 18488, "sequence_id": 106, "annotations": []}
{"role": "volunteer", "content": "It has no restrictions", "session_id": 18488, "sequence_id": 107, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 18488, "sequence_id": 108, "annotations": []}
{"role": "student", "content": "so whats domain", "session_id": 18488, "sequence_id": 109, "annotations": []}
{"role": "student", "content": "of x^2-1=0", "session_id": 18488, "sequence_id": 110, "annotations": []}
{"role": "volunteer", "content": "The domain of x^2-1=0 is all real numbers", "session_id": 18488, "sequence_id": 111, "annotations": []}
{"role": "volunteer", "content": "Equations don't have a domain", "session_id": 18488, "sequence_id": 112, "annotations": []}
{"role": "student", "content": "im saying if in denominatoe", "session_id": 18488, "sequence_id": 113, "annotations": []}
{"role": "student", "content": "denominator", "session_id": 18488, "sequence_id": 114, "annotations": []}
{"role": "volunteer", "content": "We don't look at individual equations and find the domains of them", "session_id": 18488, "sequence_id": 115, "annotations": []}
{"role": "volunteer", "content": "Rather, we tried to find any restrictions for both equations and create a domain from that.", "session_id": 18488, "sequence_id": 116, "annotations": []}
{"role": "student", "content": "yes what if x^2-1=0 so know in future", "session_id": 18488, "sequence_id": 117, "annotations": []}
{"role": "student", "content": "how to solve", "session_id": 18488, "sequence_id": 118, "annotations": []}
{"role": "volunteer", "content": "I'm confused on what your asking. Are you asking to solve for its solutions?", "session_id": 18488, "sequence_id": 119, "annotations": []}
{"role": "student", "content": "i wanna know if was our domain]", "session_id": 18488, "sequence_id": 120, "annotations": []}
{"role": "student", "content": "what domain would be", "session_id": 18488, "sequence_id": 121, "annotations": []}
{"role": "volunteer", "content": "The domain is -1,0,1", "session_id": 18488, "sequence_id": 122, "annotations": []}
{"role": "student", "content": "no '", "session_id": 18488, "sequence_id": 123, "annotations": []}
{"role": "volunteer", "content": "Okay, let me rephrase. When you have a fraction, look for where the denominator equals zero", "session_id": 18488, "sequence_id": 124, "annotations": []}
{"role": "student", "content": "cause x^2-1=0", "session_id": 18488, "sequence_id": 125, "annotations": []}
{"role": "volunteer", "content": "The domain of x^2-1=0 is all real numbers. All polynomials (like x^2) can be defined on a number line, therefore making it all real numbers", "session_id": 18488, "sequence_id": 126, "annotations": []}
{"role": "student", "content": "you cant do all real numbers", "session_id": 18488, "sequence_id": 127, "annotations": []}
{"role": "volunteer", "content": "I'm confused what do you mean you can't do all real numbers?", "session_id": 18488, "sequence_id": 128, "annotations": []}
{"role": "student", "content": "Step 1: Set denominator equal to zero and solve:\n\ud835\udc65\n2\n\u2212\n1\n=\n0\nx\n2\n\u22121=0\n\ud835\udc65\n2\n=\n1\nx\n2\n=1\n\ud835\udc65\n=\n\u00b1\n1\nx=\u00b11\nStep 2: Exclude these from the domain.\nDomain:\n\nAll real numbers except \n\ud835\udc65\n=\n1\nx=1 and \n\ud835\udc65\n=\n\u2212\n1\nx=\u22121.'", "session_id": 18488, "sequence_id": 129, "annotations": []}
{"role": "volunteer", "content": "1 and -1 are just solutions, they aren't excluded from the domain", "session_id": 18488, "sequence_id": 130, "annotations": []}
{"role": "student", "content": "they are the restrictions", "session_id": 18488, "sequence_id": 131, "annotations": []}
{"role": "student", "content": "fpor x", "session_id": 18488, "sequence_id": 132, "annotations": []}
{"role": "student", "content": "for", "session_id": 18488, "sequence_id": 133, "annotations": []}
{"role": "volunteer", "content": "So restrictions occur when you have denominators or square roots of negative numbers", "session_id": 18488, "sequence_id": 134, "annotations": []}
{"role": "volunteer", "content": "x^2 is a polynomial, and they work everywhere on a real line.", "session_id": 18488, "sequence_id": 135, "annotations": []}
{"role": "student", "content": "im saying if a denomnator", "session_id": 18488, "sequence_id": 136, "annotations": []}
{"role": "student", "content": "if x^2+1=-0", "session_id": 18488, "sequence_id": 137, "annotations": []}
{"role": "student", "content": "in a random denom", "session_id": 18488, "sequence_id": 138, "annotations": []}
{"role": "volunteer", "content": "There is no negative zero", "session_id": 18488, "sequence_id": 139, "annotations": []}
{"role": "student", "content": "yes ik", "session_id": 18488, "sequence_id": 140, "annotations": []}
{"role": "student", "content": "x^2+1=0", "session_id": 18488, "sequence_id": 141, "annotations": []}
{"role": "volunteer", "content": "You don't set it equal to zero", "session_id": 18488, "sequence_id": 142, "annotations": []}
{"role": "student", "content": "yes you do", "session_id": 18488, "sequence_id": 143, "annotations": []}
{"role": "student", "content": "to find domain", "session_id": 18488, "sequence_id": 144, "annotations": []}
{"role": "volunteer", "content": "Yes, you're right! Sorry, I'm getting confused here. But there are no real solutions", "session_id": 18488, "sequence_id": 145, "annotations": []}
{"role": "volunteer", "content": "Because you can't have x^2=-1", "session_id": 18488, "sequence_id": 146, "annotations": []}
{"role": "volunteer", "content": "Therefore the domain is still all real numbers", "session_id": 18488, "sequence_id": 147, "annotations": []}
{"role": "student", "content": "what about x^2=1", "session_id": 18488, "sequence_id": 148, "annotations": []}
{"role": "student", "content": "can you have that?", "session_id": 18488, "sequence_id": 149, "annotations": []}
{"role": "volunteer", "content": "That would be when you have x^2-1=0 and you solve for zero", "session_id": 18488, "sequence_id": 150, "annotations": []}
{"role": "volunteer", "content": "You get x=1 and x=-1 therefore domain is all real numbers except -1 and 1", "session_id": 18488, "sequence_id": 151, "annotations": []}
{"role": "student", "content": "ok", "session_id": 18488, "sequence_id": 152, "annotations": []}
{"role": "student", "content": "and you can have x^2-1=0 for this problem if we swicthed up the sign from + to -", "session_id": 18488, "sequence_id": 153, "annotations": []}
{"role": "student", "content": "so then that would be domain for our problem if we had a diff sign", "session_id": 18488, "sequence_id": 154, "annotations": []}
{"role": "volunteer", "content": "Yes but it would be a different problem at that point. Different problems give us different domains.", "session_id": 18488, "sequence_id": 155, "annotations": []}
{"role": "volunteer", "content": "You can't switch signs in problems otherwise it will complicate future steps.", "session_id": 18488, "sequence_id": 156, "annotations": []}
{"role": "student", "content": "yes but if we had 1-x^2 instead of 1+x^2", "session_id": 18488, "sequence_id": 157, "annotations": []}
{"role": "student", "content": "that would be the domain", "session_id": 18488, "sequence_id": 158, "annotations": []}
{"role": "student", "content": "for this problem", "session_id": 18488, "sequence_id": 159, "annotations": []}
{"role": "student", "content": "if we subituted", "session_id": 18488, "sequence_id": 160, "annotations": []}
{"role": "volunteer", "content": "Sure", "session_id": 18488, "sequence_id": 161, "annotations": []}
{"role": "student", "content": "ok so im correct if we sub that would be domain", "session_id": 18488, "sequence_id": 162, "annotations": []}
{"role": "student", "content": "for this equatiojn", "session_id": 18488, "sequence_id": 163, "annotations": []}
{"role": "volunteer", "content": "Yes, if you change the denominator you get a different result for domain", "session_id": 18488, "sequence_id": 164, "annotations": []}
{"role": "volunteer", "content": "The combinations are limitless", "session_id": 18488, "sequence_id": 165, "annotations": []}
{"role": "student", "content": "ok", "session_id": 18488, "sequence_id": 166, "annotations": []}
{"role": "student", "content": "just wanna make sure '", "session_id": 18488, "sequence_id": 167, "annotations": []}
{"role": "student", "content": "for rational equations", "session_id": 18488, "sequence_id": 168, "annotations": []}
{"role": "student", "content": "you can solve x^2-1=0", "session_id": 18488, "sequence_id": 169, "annotations": []}
{"role": "student", "content": "in denom", "session_id": 18488, "sequence_id": 170, "annotations": []}
{"role": "student", "content": "cause last time i think i said wanst solvable", "session_id": 18488, "sequence_id": 171, "annotations": []}
{"role": "student", "content": "/no domain", "session_id": 18488, "sequence_id": 172, "annotations": []}
{"role": "volunteer", "content": "Yes you can", "session_id": 18488, "sequence_id": 173, "annotations": []}
{"role": "student", "content": "ok", "session_id": 18488, "sequence_id": 174, "annotations": []}
{"role": "volunteer", "content": "Is that all, or do you have any other questions?", "session_id": 18488, "sequence_id": 175, "annotations": []}
{"role": "student", "content": "thats all", "session_id": 18488, "sequence_id": 176, "annotations": []}
{"role": "volunteer", "content": "I'll end the session here. Have a nice day!", "session_id": 18488, "sequence_id": 177, "annotations": []}
{"role": "volunteer", "content": "Hello!", "session_id": 18534, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "Hello :)", "session_id": 18534, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "I am working on radicals", "session_id": 18534, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "oh good", "session_id": 18534, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "I've kind of got the gist but I have questions on certain parts", "session_id": 18534, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "l start on the board", "session_id": 18534, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "i dont quite understand what problem you are stying to solve, is it square root of 39?", "session_id": 18534, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "yes", "session_id": 18534, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "from here I need to simplify but I don't know how to with out a calculator, we cant use them.", "session_id": 18534, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "so, i dont think you are doing this right", "session_id": 18534, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "you are separating the 36 and the 3", "session_id": 18534, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "and trying to say that the squareroot of 36 is 6 and so the squareroot of 39 is 6 plus 3/12?", "session_id": 18534, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "Yes but I have to simplify it", "session_id": 18534, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "the 3/12", "session_id": 18534, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "that is just 1/4", "session_id": 18534, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "which is .25", "session_id": 18534, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "ok so your trying to estimate what it is without a calc", "session_id": 18534, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "but how do I find that out", "session_id": 18534, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 18534, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "ans you get 6 + .25", "session_id": 18534, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "so you get 6.25 as the answer", "session_id": 18534, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "wonderful work", "session_id": 18534, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "Thanks, could we do another?", "session_id": 18534, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "realquick", "session_id": 18534, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "9 + (4/18) = 9.22", "session_id": 18534, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "the real root is 2.1957 so very good aproximate", "session_id": 18534, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": ", sorry but I have to go, im sure there is another tutor waiting to help you!", "session_id": 18534, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "sorry, BYE!", "session_id": 18534, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "Okay, thank you for your time", "session_id": 18534, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "Hello!", "session_id": 18453, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "How are you?", "session_id": 18453, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "Good.", "session_id": 18453, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "Can you check my probelms", "session_id": 18453, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "as we work onthem.", "session_id": 18453, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "Sure!", "session_id": 18453, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "Please post them.", "session_id": 18453, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "Find the derivative of f) = x \\sin(x)\nh(x)=x2sin(x)", "session_id": 18453, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "i can work on it", "session_id": 18453, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "sec", "session_id": 18453, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "How's it going?", "session_id": 18453, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "h\u2032(x)=2xsin\u2061(x)+x2cos\u2061(x)h'(x) = 2x\\sin(x) + x^2\\cos(x)\nh\u2032(x)=2xsin(x)+x2cos(x)", "session_id": 18453, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "Does that make sense?", "session_id": 18453, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "Yes. Thank you!!!", "session_id": 18453, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "Hello", "session_id": 18500, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "Can you help me with Factoring completely- algebra 1", "session_id": 18500, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "Hi!", "session_id": 18500, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "Of course!", "session_id": 18500, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "Thanks :)", "session_id": 18500, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "I'll give you an example problem to go by.. can you also do a visual representation.?", "session_id": 18500, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "sure!", "session_id": 18500, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "on the board?", "session_id": 18500, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "I see the image", "session_id": 18500, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "Thanks", "session_id": 18500, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "So our job is to factor", "session_id": 18500, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "yes sir/maam", "session_id": 18500, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "Sir \ud83d\ude0a", "session_id": 18500, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "This is a bit of a tough problem, but we can do it!", "session_id": 18500, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "okay...", "session_id": 18500, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "like factoring completely", "session_id": 18500, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "yep", "session_id": 18500, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "I have an idea", "session_id": 18500, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "okay....", "session_id": 18500, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "Can you hear me, by the way? Can we use audio?", "session_id": 18500, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "i can't hear you..", "session_id": 18500, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "hit the mute button", "session_id": 18500, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "i can  hear you now... :)", "session_id": 18500, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "by the chat in the blue", "session_id": 18500, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "Great", "session_id": 18500, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "OK, so what I'm noticing about this problem is that we can, the idea I have is we can divide it into two", "session_id": 18500, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "So I'm going to use my pencil, we can kind of separate this part.", "session_id": 18500, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "and this part", "session_id": 18500, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "And the reason why I'm doing that is because I see we have like a 5 and a 10, which are, you know, similar, and then a 4 and an 8, which are also similar. So let's see if that um if that helps us solve the problem.", "session_id": 18500, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "Do you wanna try factoring each of these separately and see if that helps us with the solution.", "session_id": 18500, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "yeah...", "session_id": 18500, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "Great. So I'll let you do that whiteboard", "session_id": 18500, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "So just for clarity, I think you're trying to um", "session_id": 18500, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "re-multipply, but you're trying to factor, so I'll help create like kind of the bare bones. One second.", "session_id": 18500, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "okay.. by the way, can I take notes?", "session_id": 18500, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "Of course, you can take notes, yeah. Like write down anything you want.", "session_id": 18500, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "Thanks!", "session_id": 18500, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "Basically, like, you know", "session_id": 18500, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "try to put these into two different categories like this one will go here.", "session_id": 18500, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "this one will go here", "session_id": 18500, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "if that makes sense", "session_id": 18500, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 18500, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "OK, so", "session_id": 18500, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "yeah, I think, I think we're, we're a bit off here. One second. So we're not trying to multiply. We're trying to trying to factor.", "session_id": 18500, "sequence_id": 43, "annotations": []}
{"role": "student", "content": "okay..", "session_id": 18500, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "So they take away the arrows for one second.", "session_id": 18500, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "Um", "session_id": 18500, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "so let's just deal with the first part. Let's actually ignore kind of the second part. Don't let me create a little division here.", "session_id": 18500, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "Our blue, we'll have our blue line.", "session_id": 18500, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "Can you erase it so i can see everythingclearly", "session_id": 18500, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "It'll be our dividing line for now. Actually I'll even make it simpler. I'll just take out this.", "session_id": 18500, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "part altogether", "session_id": 18500, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "So, yeah, I can erase everything.", "session_id": 18500, "sequence_id": 52, "annotations": []}
{"role": "student", "content": "thanks!", "session_id": 18500, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "So basically, if you're just going to factor this part in green, how would you, how would you factor it?", "session_id": 18500, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "What would you take out", "session_id": 18500, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "Then you can write it on the whiteboard", "session_id": 18500, "sequence_id": 56, "annotations": []}
{"role": "student", "content": "You would take out the 3 and 3, basically the exponents", "session_id": 18500, "sequence_id": 57, "annotations": []}
{"role": "student", "content": "you would subtract them", "session_id": 18500, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "Yeah, so, so you can, you can write in the uh the factoring.", "session_id": 18500, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "in this part right here", "session_id": 18500, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "OK, yeah, so", "session_id": 18500, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "Y squares or not, it's not um", "session_id": 18500, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "yeah, cause the common thing here", "session_id": 18500, "sequence_id": 63, "annotations": []}
{"role": "student", "content": "yeah you subtract it...", "session_id": 18500, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "is that I, if I may, I think we're still a bit confused on like factoring versus multiplying. By the way, I've really nice handwriting. Um", "session_id": 18500, "sequence_id": 65, "annotations": []}
{"role": "student", "content": "Thanks!", "session_id": 18500, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "but so basically, if you see in the or the uh in the", "session_id": 18500, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "um green, like this, the underlying green parts 5 and 10.", "session_id": 18500, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "Well, 5 times 1 equals 5, and then 5 times 2 equals 10. For a common thing will be 5, not 15.", "session_id": 18500, "sequence_id": 69, "annotations": []}
{"role": "student", "content": "okay", "session_id": 18500, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "And then also, we have Y, which is common to both.", "session_id": 18500, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "And so if we take out, I'll just do this, this part here, maybe you can try the second one.", "session_id": 18500, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "If we take out 5 Y squared. 0 yeah, by the way it's 5 squared, not not not to the 5th.", "session_id": 18500, "sequence_id": 73, "annotations": []}
{"role": "student", "content": "so you would subtract the 10-5 and add the exponents?", "session_id": 18500, "sequence_id": 74, "annotations": []}
{"role": "volunteer", "content": "5 ways squared", "session_id": 18500, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "and what we have left, we're gonna have Y", "session_id": 18500, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "plus", "session_id": 18500, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "2", "session_id": 18500, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "And now we can, the multiple we multiply on as kind of our, our checking step and factoring so we can we can multiply when we check. So if we put this into that", "session_id": 18500, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "and then this into that", "session_id": 18500, "sequence_id": 80, "annotations": []}
{"role": "volunteer", "content": "5 voice square times Y is 5 y cubed. We have that here.", "session_id": 18500, "sequence_id": 81, "annotations": []}
{"role": "volunteer", "content": "Then 5Y2 times 2", "session_id": 18500, "sequence_id": 82, "annotations": []}
{"role": "volunteer", "content": "is 10 Westcard. We have that here.", "session_id": 18500, "sequence_id": 83, "annotations": []}
{"role": "volunteer", "content": "So that's how we know we factored correctly.", "session_id": 18500, "sequence_id": 84, "annotations": []}
{"role": "volunteer", "content": "Does that make sense", "session_id": 18500, "sequence_id": 85, "annotations": []}
{"role": "student", "content": "Yes sir", "session_id": 18500, "sequence_id": 86, "annotations": []}
{"role": "volunteer", "content": "Awesome", "session_id": 18500, "sequence_id": 87, "annotations": []}
{"role": "volunteer", "content": "Now we're gonna try that with our second part of the equations. We've done the first part.", "session_id": 18500, "sequence_id": 88, "annotations": []}
{"role": "volunteer", "content": "Now we're gonna try our 4Y minus 8.", "session_id": 18500, "sequence_id": 89, "annotations": []}
{"role": "volunteer", "content": "So I'll make the parentheses and you can give it a try. Oops, a different color.", "session_id": 18500, "sequence_id": 90, "annotations": []}
{"role": "volunteer", "content": "So take this part in pink and yeah you have to factor it into these two.", "session_id": 18500, "sequence_id": 91, "annotations": []}
{"role": "volunteer", "content": "And we're trying to pull out the common terms.", "session_id": 18500, "sequence_id": 92, "annotations": []}
{"role": "volunteer", "content": "From this 41 and then 8, what do they have in common? So again, I see, I see you've written 32", "session_id": 18500, "sequence_id": 93, "annotations": []}
{"role": "volunteer", "content": "um, but we're not, we're not multiplying here", "session_id": 18500, "sequence_id": 94, "annotations": []}
{"role": "volunteer", "content": "That's not the first step. Their the multiplying is the checking step, but here we're trying to like almost like divide if that makes sense.", "session_id": 18500, "sequence_id": 95, "annotations": []}
{"role": "student", "content": "oh yeah, my bad...", "session_id": 18500, "sequence_id": 96, "annotations": []}
{"role": "student", "content": "okay", "session_id": 18500, "sequence_id": 97, "annotations": []}
{"role": "volunteer", "content": "No problem", "session_id": 18500, "sequence_id": 98, "annotations": []}
{"role": "volunteer", "content": "Yup, good first step", "session_id": 18500, "sequence_id": 99, "annotations": []}
{"role": "volunteer", "content": "Uh yeah, so 2 Y times 4.", "session_id": 18500, "sequence_id": 100, "annotations": []}
{"role": "student", "content": "Um, I'm kind of confused because like when you multiply, um,", "session_id": 18500, "sequence_id": 101, "annotations": []}
{"role": "student", "content": "2 times, I think 4.", "session_id": 18500, "sequence_id": 102, "annotations": []}
{"role": "student", "content": "I kind of get confused with that.", "session_id": 18500, "sequence_id": 103, "annotations": []}
{"role": "student", "content": "cause I do", "session_id": 18500, "sequence_id": 104, "annotations": []}
{"role": "student", "content": "multiplication instead of division, and fact isn't factoring like division, right? Correct?", "session_id": 18500, "sequence_id": 105, "annotations": []}
{"role": "volunteer", "content": "I just rejoined. Can you hear me", "session_id": 18500, "sequence_id": 106, "annotations": []}
{"role": "student", "content": "Yeah, I can hear you. I can hear you.", "session_id": 18500, "sequence_id": 107, "annotations": []}
{"role": "volunteer", "content": "OK, awesome. Um", "session_id": 18500, "sequence_id": 108, "annotations": []}
{"role": "volunteer", "content": "yeah, I could, I can hear you too as well. Um", "session_id": 18500, "sequence_id": 109, "annotations": []}
{"role": "volunteer", "content": "so the, the two I did a really good job there.", "session_id": 18500, "sequence_id": 110, "annotations": []}
{"role": "volunteer", "content": "Um, that's our common term. We need in this next portion right here, which underline in green.", "session_id": 18500, "sequence_id": 111, "annotations": []}
{"role": "volunteer", "content": "we need two terms", "session_id": 18500, "sequence_id": 112, "annotations": []}
{"role": "volunteer", "content": "We need something uh", "session_id": 18500, "sequence_id": 113, "annotations": []}
{"role": "volunteer", "content": "this green part, we need something plus something.", "session_id": 18500, "sequence_id": 114, "annotations": []}
{"role": "volunteer", "content": "because we have two terms here in the 4 Y minus 8, so we need something plus something or something minus something here if you want to give that a try to see what our team's terms were. It's going to re parallel what we just did with the 5 like squared on the other side. We're going to do the same process here. We took out the common", "session_id": 18500, "sequence_id": 115, "annotations": []}
{"role": "volunteer", "content": "current", "session_id": 18500, "sequence_id": 116, "annotations": []}
{"role": "student", "content": "Um, so, for this, basically, would you like multiply 10y times 4y?", "session_id": 18500, "sequence_id": 117, "annotations": []}
{"role": "volunteer", "content": "So we're gonna come back to that 10Y part later. Um, we're focusing on the pink part now and we'll bring it all together in, in a minute.", "session_id": 18500, "sequence_id": 118, "annotations": []}
{"role": "student", "content": "OK, cause I thought you multiplied, cross-m multiplied 5Y and uh 4Y and then you cross multiply 10 Y to 2 to 8, um.", "session_id": 18500, "sequence_id": 119, "annotations": []}
{"role": "volunteer", "content": "So yeah, um, so, I, yeah, so I I", "session_id": 18500, "sequence_id": 120, "annotations": []}
{"role": "student", "content": "OK", "session_id": 18500, "sequence_id": 121, "annotations": []}
{"role": "volunteer", "content": "I would, well, this is a factoring problem, so I would try to not think about multiplying. That that comes in the later steps in the checking steps. Like I, I would almost think about dividing, like factoring is, is you're trying to divide out the common terms, um, it's multiplying isn't really the step. It's kind of like reverse multiplying.", "session_id": 18500, "sequence_id": 122, "annotations": []}
{"role": "volunteer", "content": "Um", "session_id": 18500, "sequence_id": 123, "annotations": []}
{"role": "student", "content": "OK", "session_id": 18500, "sequence_id": 124, "annotations": []}
{"role": "volunteer", "content": "so I'm not sure where you got the cross multiplying cro cross thing, but I wouldn't recommend that", "session_id": 18500, "sequence_id": 125, "annotations": []}
{"role": "student", "content": "Yes, sir.", "session_id": 18500, "sequence_id": 126, "annotations": []}
{"role": "volunteer", "content": "when you're starting to solve the problem because I think that's that's confusing us a little bit. Um, yeah, so basically, so in this green underlined portion here.", "session_id": 18500, "sequence_id": 127, "annotations": []}
{"role": "volunteer", "content": "So basically we're trying to do something plus or minus something.", "session_id": 18500, "sequence_id": 128, "annotations": []}
{"role": "student", "content": "Mhm", "session_id": 18500, "sequence_id": 129, "annotations": []}
{"role": "volunteer", "content": "So we have our two terms in pink, 4 Y and and and minus 8", "session_id": 18500, "sequence_id": 130, "annotations": []}
{"role": "volunteer", "content": "and we divided out, um, actually, so yeah, this is a mistake. So this is why I shouldn't be here. Um, so it just, it's just two cause two, actually, it's more than 2, so what, what number is common to both both 4 and 82 is certainly, but even more 4 times, we can actually do 4, only we put 4 in there.", "session_id": 18500, "sequence_id": 131, "annotations": []}
{"role": "volunteer", "content": "because we want an even bigger number. We want to factor out as much as possible.", "session_id": 18500, "sequence_id": 132, "annotations": []}
{"role": "volunteer", "content": "So", "session_id": 18500, "sequence_id": 133, "annotations": []}
{"role": "student", "content": "Um, so a common denominator between like a common factor between 10 and 4, or?", "session_id": 18500, "sequence_id": 134, "annotations": []}
{"role": "volunteer", "content": "we, we're in the pink right now, so don't worry about the green one and I'm sorry, I'm sorry.", "session_id": 18500, "sequence_id": 135, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 18500, "sequence_id": 136, "annotations": []}
{"role": "student", "content": "Oh, a common denominator between 4 and 8 is the highest one is 4, basically. Yeah.", "session_id": 18500, "sequence_id": 137, "annotations": []}
{"role": "volunteer", "content": "Correct. So that's where we're gonna, that's where we're gonna put our parentheses right here, the 4.", "session_id": 18500, "sequence_id": 138, "annotations": []}
{"role": "student", "content": "Mhm", "session_id": 18500, "sequence_id": 139, "annotations": []}
{"role": "volunteer", "content": "That's 4. And so now what, now we're gonna do basically something plus or minus something.", "session_id": 18500, "sequence_id": 140, "annotations": []}
{"role": "volunteer", "content": "blank, plus, blank", "session_id": 18500, "sequence_id": 141, "annotations": []}
{"role": "volunteer", "content": "plus or minus blank", "session_id": 18500, "sequence_id": 142, "annotations": []}
{"role": "student", "content": "Um,", "session_id": 18500, "sequence_id": 143, "annotations": []}
{"role": "volunteer", "content": "Um, so what, 4 times uh equals 4 y, and then 4 times N equals -8.", "session_id": 18500, "sequence_id": 144, "annotations": []}
{"role": "volunteer", "content": "That's what we have to try to fill in.", "session_id": 18500, "sequence_id": 145, "annotations": []}
{"role": "student", "content": "4 times, wait, so you would do 4 times, uh, what again?", "session_id": 18500, "sequence_id": 146, "annotations": []}
{"role": "volunteer", "content": "Basically 4 times is what equals 4Y.", "session_id": 18500, "sequence_id": 147, "annotations": []}
{"role": "student", "content": "04 times.", "session_id": 18500, "sequence_id": 148, "annotations": []}
{"role": "student", "content": "2", "session_id": 18500, "sequence_id": 149, "annotations": []}
{"role": "volunteer", "content": "It's, it's actually very simple. You don't overcomplicate it. 4 times what equals 4 y.", "session_id": 18500, "sequence_id": 150, "annotations": []}
{"role": "student", "content": "4 times he equals 14 times 1 equals 4Y.", "session_id": 18500, "sequence_id": 151, "annotations": []}
{"role": "volunteer", "content": "So when we need to have a y in there.", "session_id": 18500, "sequence_id": 152, "annotations": []}
{"role": "student", "content": "We're 44 times 4 times Y equalsy.", "session_id": 18500, "sequence_id": 153, "annotations": []}
{"role": "student", "content": "and then", "session_id": 18500, "sequence_id": 154, "annotations": []}
{"role": "volunteer", "content": "Yeah, Y, I'm sorry, I heard 1, yeah, it's 4 times Y. So 4 times y, yep, the second one.", "session_id": 18500, "sequence_id": 155, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 18500, "sequence_id": 156, "annotations": []}
{"role": "student", "content": "and then 44 times 4 equals 8, no, 4 times 2 equals 8. So, like, yeah.", "session_id": 18500, "sequence_id": 157, "annotations": []}
{"role": "volunteer", "content": "So we have our, our plus or minus 2, so we, we need to have a negative 8 essentially -8. So which one are we going to use?", "session_id": 18500, "sequence_id": 158, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 18500, "sequence_id": 159, "annotations": []}
{"role": "student", "content": "um minus because it's negative.", "session_id": 18500, "sequence_id": 160, "annotations": []}
{"role": "student", "content": "Thank you", "session_id": 18500, "sequence_id": 161, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 18500, "sequence_id": 162, "annotations": []}
{"role": "student", "content": "Bye.", "session_id": 18500, "sequence_id": 163, "annotations": []}
{"role": "volunteer", "content": "so not plus, we're gonna take out our plus. So now we, now we have it. OK, now we have kind of the bare bones. So", "session_id": 18500, "sequence_id": 164, "annotations": []}
{"role": "volunteer", "content": "we have 4 times whitecos minus 2 equals 4 Y minus 8, that that goes in together. So now we have our 22 separate parts of our problem, the green and the pink.", "session_id": 18500, "sequence_id": 165, "annotations": []}
{"role": "student", "content": "OK", "session_id": 18500, "sequence_id": 166, "annotations": []}
{"role": "volunteer", "content": "And so you've taken out the biggest term. Um,", "session_id": 18500, "sequence_id": 167, "annotations": []}
{"role": "volunteer", "content": "and, uh, this is kind of a hard problem to start with. It's kind of a more algebra 201, but we're going to do our best. So", "session_id": 18500, "sequence_id": 168, "annotations": [{"pii_type": "COURSE", "surrogate": "algebra 201", "start": 75, "end": 86}]}
{"role": "volunteer", "content": "I'll say", "session_id": 18500, "sequence_id": 169, "annotations": []}
{"role": "volunteer", "content": "OK, one thing I kinda confused you on, which I do apologize for is that we're gonna, it actually will be a plus too for different reasons. Um, it's because this is a", "session_id": 18500, "sequence_id": 170, "annotations": []}
{"role": "student", "content": "Because, was it, is it because like they cancel out basically cause + like like if for instance, if you did -6 times too, wouldn't like that be negative, like 12.", "session_id": 18500, "sequence_id": 171, "annotations": []}
{"role": "volunteer", "content": "um, I'm not sure the cyst comes from, um, but where you got the 6 from, but basically what what I", "session_id": 18500, "sequence_id": 172, "annotations": []}
{"role": "student", "content": "Like, no, it's that's just an end, like that's just an example.", "session_id": 18500, "sequence_id": 173, "annotations": []}
{"role": "volunteer", "content": "Oh, gotcha. Um, I'm having a hard time visualizing, but um it's possible that could work. But anyway, anyways, what, what I kind of misled you on is that when I put the parentheses around the 4 Y minus 6 up here at the top. Um, by the way, can you see my cursor or no?", "session_id": 18500, "sequence_id": 174, "annotations": []}
{"role": "student", "content": "Uh, no.", "session_id": 18500, "sequence_id": 175, "annotations": []}
{"role": "volunteer", "content": "Probably not, OK. Maybe I can ask you to add that in.", "session_id": 18500, "sequence_id": 176, "annotations": []}
{"role": "volunteer", "content": "Anyways, um, so when we, when we put a parenthesis around this, we have to add in basically + 8.", "session_id": 18500, "sequence_id": 177, "annotations": []}
{"role": "student", "content": "Yes, sir", "session_id": 18500, "sequence_id": 178, "annotations": []}
{"role": "volunteer", "content": "You have to do plus right here because -4Y and then minus + equals negative. That's a complicated thing, but that's, that's, that's kind of a detail, but it's not the most important part to. It's not the principle we're working with. Anyways, now, now we have, we've factored this appropriately now. We haven't like finished our factoring job though. Do you, so we have our, let me do underlining green.", "session_id": 18500, "sequence_id": 179, "annotations": []}
{"role": "volunteer", "content": "We have a green park, we have our pink part. Do you see, do you notice any common term we're going to actually try to factor a second time. Do you see any comment in this?", "session_id": 18500, "sequence_id": 180, "annotations": []}
{"role": "volunteer", "content": "Yeah, exact.", "session_id": 18500, "sequence_id": 181, "annotations": []}
{"role": "student", "content": "Um, I see like the common terms between why like the green part, like Y + 2 and 5 + 2 under the pink part. I, I think that's because they both like have um the Y", "session_id": 18500, "sequence_id": 182, "annotations": []}
{"role": "student", "content": "coefficient. Is that cofi coefficient or?", "session_id": 18500, "sequence_id": 183, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 18500, "sequence_id": 184, "annotations": []}
{"role": "volunteer", "content": "Um, yeah, student, yes, it's kind of hard to kind of like, yeah, a factor I would say is probably the best term. Yeah, great job. So we're gonna actually have to fax this again. Um", "session_id": 18500, "sequence_id": 185, "annotations": []}
{"role": "volunteer", "content": "um, so", "session_id": 18500, "sequence_id": 186, "annotations": []}
{"role": "volunteer", "content": "we're going to do", "session_id": 18500, "sequence_id": 187, "annotations": []}
{"role": "volunteer", "content": "I think if I, if I show it first, it'll kind of make sense.", "session_id": 18500, "sequence_id": 188, "annotations": []}
{"role": "student", "content": "Mhm", "session_id": 18500, "sequence_id": 189, "annotations": []}
{"role": "volunteer", "content": "Um, cause yeah, I would, I would definitely recommend doing more of these problems. Um.", "session_id": 18500, "sequence_id": 190, "annotations": []}
{"role": "volunteer", "content": "great", "session_id": 18500, "sequence_id": 191, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 18500, "sequence_id": 192, "annotations": []}
{"role": "student", "content": "I have a lot of more of these problems. Um, I was planning on doing this because like I have a test coming up. So I really need, yeah.", "session_id": 18500, "sequence_id": 193, "annotations": []}
{"role": "volunteer", "content": "For sure, yeah, we're here to help you with the test. OK. So", "session_id": 18500, "sequence_id": 194, "annotations": []}
{"role": "student", "content": "Yes sir", "session_id": 18500, "sequence_id": 195, "annotations": []}
{"role": "volunteer", "content": "this is pretty much the final answer and I'm, I'm sorry to give you the final answer kind of without working through it, but I think it's important um for this problem to kind of visualize. um, but you see Y + 2, we had that in common, um, and both of them, and then we did, um, we're going to use a different cone blue.", "session_id": 18500, "sequence_id": 196, "annotations": []}
{"role": "volunteer", "content": "We have, we, we took out basically the 5 minus 4.", "session_id": 18500, "sequence_id": 197, "annotations": []}
{"role": "volunteer", "content": "And that was our thing here.", "session_id": 18500, "sequence_id": 198, "annotations": []}
{"role": "volunteer", "content": "Um, so that was, that basically this whole thing, this, this is our final answer.", "session_id": 18500, "sequence_id": 199, "annotations": []}
{"role": "volunteer", "content": "for how we our original thing.", "session_id": 18500, "sequence_id": 200, "annotations": []}
{"role": "student", "content": "OK, so,", "session_id": 18500, "sequence_id": 201, "annotations": []}
{"role": "volunteer", "content": "But it's basically it's a, it's a two step, it's a two-step process. You have to do the, you have to isolate", "session_id": 18500, "sequence_id": 202, "annotations": []}
{"role": "volunteer", "content": "What was that", "session_id": 18500, "sequence_id": 203, "annotations": []}
{"role": "volunteer", "content": "No problem.", "session_id": 18500, "sequence_id": 204, "annotations": []}
{"role": "student", "content": "first step to get the second step. You have to, cause what I'm confused on right now is how you got, cause I'm very slow visual learner, and so whenever I'm learning stuff, yeah, but this makes sense, this makes sense. It's just that like", "session_id": 18500, "sequence_id": 205, "annotations": []}
{"role": "student", "content": "so that's the final answer. 5Y it's the second minus 4", "session_id": 18500, "sequence_id": 206, "annotations": []}
{"role": "student", "content": "Y + 2 is that no.", "session_id": 18500, "sequence_id": 207, "annotations": []}
{"role": "volunteer", "content": "Yeah, exactly. So, but it's a two-step process. You can't, you don't want to get this intuitively. So if you look back at our original problem.", "session_id": 18500, "sequence_id": 208, "annotations": []}
{"role": "volunteer", "content": "I'm gonna clean it up a little bit for us.", "session_id": 18500, "sequence_id": 209, "annotations": []}
{"role": "student", "content": "OK", "session_id": 18500, "sequence_id": 210, "annotations": []}
{"role": "volunteer", "content": "Um", "session_id": 18500, "sequence_id": 211, "annotations": []}
{"role": "volunteer", "content": "some pink as well.", "session_id": 18500, "sequence_id": 212, "annotations": []}
{"role": "volunteer", "content": "Um, it feels like an original problem", "session_id": 18500, "sequence_id": 213, "annotations": []}
{"role": "student", "content": "Mhm", "session_id": 18500, "sequence_id": 214, "annotations": []}
{"role": "volunteer", "content": "We have the 5 Y cubed plus 10 Y squared minus 4Y + 8. we, we took that, we divided it into a green part and then a pink part. Um,", "session_id": 18500, "sequence_id": 215, "annotations": []}
{"role": "student", "content": "So, basically, you, for this, you would like divide. So if you would like factor out, so basically you pick out the stuff and divide it.", "session_id": 18500, "sequence_id": 216, "annotations": []}
{"role": "student", "content": "or then", "session_id": 18500, "sequence_id": 217, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 18500, "sequence_id": 218, "annotations": []}
{"role": "volunteer", "content": "yeah, facts and, yeah, I like the term use factor out. Um", "session_id": 18500, "sequence_id": 219, "annotations": []}
{"role": "volunteer", "content": "so we, so when I, when, when I looked at this problem first, what I noticed uh let me let me see if I can copy and paste it.", "session_id": 18500, "sequence_id": 220, "annotations": []}
{"role": "volunteer", "content": "Oh yeah, great. I'm gonna, I'm, I hope we can still see you at the top. Um", "session_id": 18500, "sequence_id": 221, "annotations": []}
{"role": "volunteer", "content": "so if you look at our, our bland statement at the top.", "session_id": 18500, "sequence_id": 222, "annotations": []}
{"role": "volunteer", "content": "which I'm circling in black.", "session_id": 18500, "sequence_id": 223, "annotations": []}
{"role": "volunteer", "content": "One second", "session_id": 18500, "sequence_id": 224, "annotations": []}
{"role": "student", "content": "Mhm.", "session_id": 18500, "sequence_id": 225, "annotations": []}
{"role": "volunteer", "content": "which is now blue, unfortunately.", "session_id": 18500, "sequence_id": 226, "annotations": []}
{"role": "volunteer", "content": "Um, the like the the basic black um thing I circled, that was the original thing we started with, and I looked at this and say, man, man, how can we factor this?", "session_id": 18500, "sequence_id": 227, "annotations": []}
{"role": "volunteer", "content": "They looked at 5 and 10, and then I was like, oh wow, 5 and 10, they look, they sound pretty similar. I can factor out to 5. And I was like, oh, why why squared and y cubed.", "session_id": 18500, "sequence_id": 228, "annotations": []}
{"role": "student", "content": "Yeah, wait, wait, wait. So you can, OK, I get it. I get it now. I get it now. OK, so for 5, basically 5 words to 2, this would basically be multiplied.", "session_id": 18500, "sequence_id": 229, "annotations": []}
{"role": "volunteer", "content": "the 3rd, 3, I'm sorry, my bad, go ahead.", "session_id": 18500, "sequence_id": 230, "annotations": []}
{"role": "student", "content": "by this, and then this would basically be multiplied.", "session_id": 18500, "sequence_id": 231, "annotations": []}
{"role": "student", "content": "So we multiplied by this, and then it'll be multiplied by that too.", "session_id": 18500, "sequence_id": 232, "annotations": []}
{"role": "student", "content": "OK, OK, I get it now.", "session_id": 18500, "sequence_id": 233, "annotations": []}
{"role": "student", "content": "Yeah.", "session_id": 18500, "sequence_id": 234, "annotations": []}
{"role": "student", "content": "So", "session_id": 18500, "sequence_id": 235, "annotations": []}
{"role": "volunteer", "content": "Yeah, yeah, so it's kind of like it's reverse multiplying. You're trying, you're you're unmultiplying it essentially. Uh, you know, you could think of it like dividing and factoring, um, cause I know, you know,", "session_id": 18500, "sequence_id": 236, "annotations": []}
{"role": "volunteer", "content": "the way you know", "session_id": 18500, "sequence_id": 237, "annotations": []}
{"role": "student", "content": "Yeah, I get it now. OK.", "session_id": 18500, "sequence_id": 238, "annotations": []}
{"role": "volunteer", "content": "Yeah, yeah, I'm glad, I'm so glad. Yes, it's, it's, it's a hard, this is a hard problem because it's like a, it's like a double.", "session_id": 18500, "sequence_id": 239, "annotations": []}
{"role": "volunteer", "content": "this, this is a hard problem to start with because it's like you're, you're double factoring.", "session_id": 18500, "sequence_id": 240, "annotations": []}
{"role": "student", "content": "Yeah, cause it's, yeah, it's something else. Thank you so much.", "session_id": 18500, "sequence_id": 241, "annotations": []}
{"role": "volunteer", "content": "Um, my pleasure, yeah.", "session_id": 18500, "sequence_id": 242, "annotations": []}
{"role": "student", "content": "Makes sense. It makes sense.", "session_id": 18500, "sequence_id": 243, "annotations": []}
{"role": "student", "content": "Mhm", "session_id": 18500, "sequence_id": 244, "annotations": []}
{"role": "student", "content": "Yes sir", "session_id": 18500, "sequence_id": 245, "annotations": []}
{"role": "volunteer", "content": "Yeah, so just whenever you're looking at, at big problems like this, you see, boom in this, in this first part with a circle in black, I was like wow, I see a lot of, I see 4 terms in a row, how am I gonna deal with this? Just so you can look for common terms. You know, I see a 5, I see a 5, I see a 10, I see, you know, those go together. I see a 4 and 8 does go together, um, and they can kind of work from there. And just, you know, the, the, the, the, the multiplying part. I saw you drew some like, you know, some half circles there. So yeah, just always do that at the end cause you want to make sure your work checks out.", "session_id": 18500, "sequence_id": 246, "annotations": []}
{"role": "volunteer", "content": "Yeah, it's, yeah, just", "session_id": 18500, "sequence_id": 247, "annotations": []}
{"role": "student", "content": "Yeah. OK, thank you so much. Oh my gosh, I think I'm gonna pass my test. Thank you so much.", "session_id": 18500, "sequence_id": 248, "annotations": []}
{"role": "volunteer", "content": "yeah, I'm so happy, happy to do so. And let me know if you need, uh, I actually do have to go soon, but I hope I, I, I hope this helped and I hope you'd, I would just recommend to do a few more of these.", "session_id": 18500, "sequence_id": 249, "annotations": []}
{"role": "volunteer", "content": "No pressure", "session_id": 18500, "sequence_id": 250, "annotations": []}
{"role": "student", "content": "Yeah, thank you so much. Thank you so much.", "session_id": 18500, "sequence_id": 251, "annotations": []}
{"role": "student", "content": "Have a great afternoon.", "session_id": 18500, "sequence_id": 252, "annotations": []}
{"role": "volunteer", "content": "Likewise, and you can always feel free to uh uh uh um like rank me or like, you know, get feedback afterwards, there's the feedback after the forma after the session ends.", "session_id": 18500, "sequence_id": 253, "annotations": []}
{"role": "student", "content": "Thank you.", "session_id": 18500, "sequence_id": 254, "annotations": []}
{"role": "volunteer", "content": "My pleasure. Have a great day. Bye-bye", "session_id": 18500, "sequence_id": 255, "annotations": []}
{"role": "student", "content": "hi", "session_id": 18668, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "Hi Alex", "session_id": 18668, "sequence_id": 1, "annotations": [{"pii_type": "PERSON", "surrogate": "Alex", "start": 3, "end": 7}]}
{"role": "student", "content": "I need help with a homework assignment", "session_id": 18668, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "please put it up", "session_id": 18668, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "Im supposed to find the perimeter of quadrilateral ABCD", "session_id": 18668, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 18668, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "so would I find the perimeter of what I traced on the board?", "session_id": 18668, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "Yes", "session_id": 18668, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "let's do that", "session_id": 18668, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "do you want to give a try to find the length of AB first?", "session_id": 18668, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "sure", "session_id": 18668, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "10 units", "session_id": 18668, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "good", "session_id": 18668, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "so you don't really need help", "session_id": 18668, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "I will solve the problem and then at the end can you check if I am correct?", "session_id": 18668, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "sure", "session_id": 18668, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "If I get my answer as a long decimal I should round it to the thousandth place right?", "session_id": 18668, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "that would be fine. not sure about the question's requirement", "session_id": 18668, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "so 27.484 units?", "session_id": 18668, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "let's say", "session_id": 18668, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "let's see", "session_id": 18668, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "yes!", "session_id": 18668, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "you got it", "session_id": 18668, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "any other problem?", "session_id": 18668, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "can you stay on the line in case I have any more questions while I am working through this assignment?", "session_id": 18668, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "sure.", "session_id": 18668, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "I have to go do something. Can you stay on the line and I will come back when I am done?", "session_id": 18668, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 18668, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "I will work on another screen", "session_id": 18668, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "ok. I will let you know once I am back", "session_id": 18668, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "sure", "session_id": 18668, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "I'm back", "session_id": 18668, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "I have to go do something. Can you stay on the line and I will come back when I am done?", "session_id": 18668, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "you here?", "session_id": 18668, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "I'm going to go now. Stay on the line and I will let you know once I am back", "session_id": 18668, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "back now", "session_id": 18668, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "sorry I have to drop now", "session_id": 18668, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "bye", "session_id": 18668, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "I am back", "session_id": 18668, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "Please let me know when you are back", "session_id": 18668, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "Hello!", "session_id": 18576, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "How can I help you?", "session_id": 18576, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "Hello!", "session_id": 18576, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "I'm working on an assignment that has domain and range", "session_id": 18576, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "Okay. That is great!", "session_id": 18576, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "I'm not understanding it and I honestly really couldn't tell you how to find either domain or range via function", "session_id": 18576, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "Okay. Do you want help defining what is domain and range or applying it to a specific function?", "session_id": 18576, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "Or both?", "session_id": 18576, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "My assignment is asking for specifying the domain and range depending on the function given", "session_id": 18576, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "Okay. What type of function?", "session_id": 18576, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "Radical, linear, cubic, etc", "session_id": 18576, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "Radical, I'm pretty sure", "session_id": 18576, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "M=3\u221an and n\u22650, that's one of the functions", "session_id": 18576, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "Well, the function already gives you the domain.", "session_id": 18576, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "Do you see it?", "session_id": 18576, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "No", "session_id": 18576, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "Okay. I can help with that.", "session_id": 18576, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "I will draw a quick graph.", "session_id": 18576, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "This is called a radical function.", "session_id": 18576, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "It is any function with a root 2.", "session_id": 18576, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "Does that look familiar at all?", "session_id": 18576, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "Nope", "session_id": 18576, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "Its okay. We can work towards it.", "session_id": 18576, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "What do you know about domain?", "session_id": 18576, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "I know that it means x, that it's between the highest and the lowest point on a graph", "session_id": 18576, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "Yes. It consists of all the possible x-values of a function. I will draw that on the graph. Remember x=input.", "session_id": 18576, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "The domain is all the possible x-values for a function.", "session_id": 18576, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "n is your input.", "session_id": 18576, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "However, there are two ways you can think about the domain. 1). look at the graph (you can search radical graph in the future): you can see where the function is over the x-axis 2). look at the question: this question already specifies what n includes--n is greater than or equal to 0", "session_id": 18576, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "Is that starting to make sense?", "session_id": 18576, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "A little bit", "session_id": 18576, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "Where is it unclear?", "session_id": 18576, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "I'm not sure how to piece what I see together", "session_id": 18576, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "M=output (mostly called y), n=input (mostly called x)", "session_id": 18576, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "Okay. I got it!", "session_id": 18576, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "I set up the equation as M=3\u221an\u22650", "session_id": 18576, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "But I'm not sure what I did, what to do with it, or what it means", "session_id": 18576, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "Oh. n is greater than or equal to 0 is NOT a part of your function.", "session_id": 18576, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "That is a separate entity I believe", "session_id": 18576, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "So you don't plug in the variables", "session_id": 18576, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "the function is only M=nroot3", "session_id": 18576, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "The domain is n is greater than or equal to 0", "session_id": 18576, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "There should be a comma between them on your question. You don't plug in the variables. You only use it as what n can be.", "session_id": 18576, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "So everything on the x axis is greater than 0", "session_id": 18576, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "For this function, yes.", "session_id": 18576, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "Let me write out the question", "session_id": 18576, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "All included variables are greater than or equal to 0.", "session_id": 18576, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "on the x-axis", "session_id": 18576, "sequence_id": 47, "annotations": []}
{"role": "student", "content": "Yes, so what would the range be", "session_id": 18576, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "Well, the lowest x- value you can plug in is 0. Right?", "session_id": 18576, "sequence_id": 49, "annotations": []}
{"role": "student", "content": "Yes, because it's anything greater than or equal to it", "session_id": 18576, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "Yes. Great work1", "session_id": 18576, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "And there is no way to make 3 root n negative. Right?", "session_id": 18576, "sequence_id": 52, "annotations": []}
{"role": "student", "content": "No, because roots can't be negative", "session_id": 18576, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "Yes. Great.", "session_id": 18576, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "0 times 3 is 0, so M can be equal to 0. But it is never negative.", "session_id": 18576, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "And if you look on the graph, the y axis goes up forever.", "session_id": 18576, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "So the range should be M is greater than or equal to 0.", "session_id": 18576, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "Does that seem correct?", "session_id": 18576, "sequence_id": 58, "annotations": []}
{"role": "student", "content": "Why wouldn't the range be all real numbers", "session_id": 18576, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "Because it cant't be negative.", "session_id": 18576, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "Can you make n root 3 (which is equal to M) negative?", "session_id": 18576, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "sorry 3 root n", "session_id": 18576, "sequence_id": 62, "annotations": []}
{"role": "student", "content": "Oohh, so the range in the function is defined by the domain, if n can't be negative and has to be greater than or equal to 0, m has to be the same, right?", "session_id": 18576, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "Well, that changes on the function. The domain is not always equal to the range. Imagine a vertical shift up 1 for this same function. The domain would be the same but the range would be [1, infinite)", "session_id": 18576, "sequence_id": 64, "annotations": []}
{"role": "student", "content": "So it depends on the starting point basically, so if it was n\u22654, it would start at four and be [4,\u221e)", "session_id": 18576, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "That is 4 the domain. The range would still be [0, infinite). What I am talking about with a vertical shift is a +1. See graph :)", "session_id": 18576, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "You are right about that being the domain. The range is altered by a different value though.", "session_id": 18576, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "Your problem does not have a vertical shift. So don't worry too much about it for this particular question.", "session_id": 18576, "sequence_id": 68, "annotations": []}
{"role": "student", "content": "So it would shift up depending on the y function, so if it m=3\u221an+4 it would still start at 4", "session_id": 18576, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "The range would start at 4, yes.", "session_id": 18576, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "The domain is still [0, infite)", "session_id": 18576, "sequence_id": 71, "annotations": []}
{"role": "student", "content": "So the range for this function would be m\u22650 because it starts at 0 and continues that or [0,\u221e)", "session_id": 18576, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "Yes. That is right!", "session_id": 18576, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "Do you understand it well enough?", "session_id": 18576, "sequence_id": 74, "annotations": []}
{"role": "student", "content": "Im getting there, if I were to see it on a test I would freeze", "session_id": 18576, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "Yes. You can always just use the graph. There are only a few you will  ever see in Algebra 2. You have to use the original function and apply the transformation sto get the domain and range.", "session_id": 18576, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "This is radical. I will put a few on the bottom of the current graph.", "session_id": 18576, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "Have you seen these?", "session_id": 18576, "sequence_id": 78, "annotations": []}
{"role": "student", "content": "I think I have but I can't be too sure", "session_id": 18576, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "Okay. It is the start of the school year, so you will.", "session_id": 18576, "sequence_id": 80, "annotations": []}
{"role": "volunteer", "content": "Just remember that this question already gave you the input (n, often seen as x)", "session_id": 18576, "sequence_id": 81, "annotations": []}
{"role": "student", "content": "I'm in Algebra 2 algebra, so we kind of go through topics very fast, it doesn't help that I missed this topic in algebra 1", "session_id": 18576, "sequence_id": 82, "annotations": []}
{"role": "volunteer", "content": "You already had the domain/", "session_id": 18576, "sequence_id": 83, "annotations": []}
{"role": "volunteer", "content": "Okay. I also skipped Algebra 1. Khan Academy. It truly explains everything very well. Algebra 2 does become much easirer with a lot of Algebra 1 practice.", "session_id": 18576, "sequence_id": 84, "annotations": []}
{"role": "student", "content": "That's what I've heard, I'll make sure to stay on top of that!", "session_id": 18576, "sequence_id": 85, "annotations": []}
{"role": "volunteer", "content": "Yes. It is great. Remmember to keep inputs and outputs straight and to always look for what the problem already gives you.", "session_id": 18576, "sequence_id": 86, "annotations": []}
{"role": "volunteer", "content": "x and y are not the only possible function variables.", "session_id": 18576, "sequence_id": 87, "annotations": []}
{"role": "student", "content": "Question, if f(x)=x\u2074 and domain is xeR, all real numbers would the range be all real numbers to?", "session_id": 18576, "sequence_id": 88, "annotations": []}
{"role": "volunteer", "content": "For this question, I believe so.", "session_id": 18576, "sequence_id": 89, "annotations": []}
{"role": "volunteer", "content": "The root is even so all numbers will be positive. The lowest (x=0) will be negative.", "session_id": 18576, "sequence_id": 90, "annotations": []}
{"role": "volunteer", "content": "Great job!", "session_id": 18576, "sequence_id": 91, "annotations": []}
{"role": "volunteer", "content": "sorry x=0 will be 0", "session_id": 18576, "sequence_id": 92, "annotations": []}
{"role": "volunteer", "content": "NOT negative", "session_id": 18576, "sequence_id": 93, "annotations": []}
{"role": "student", "content": "And for this question I'm going to write it out", "session_id": 18576, "sequence_id": 94, "annotations": []}
{"role": "volunteer", "content": "You can write it out if that helps you. :)", "session_id": 18576, "sequence_id": 95, "annotations": []}
{"role": "volunteer", "content": "Okay. This is absolute value.", "session_id": 18576, "sequence_id": 96, "annotations": []}
{"role": "volunteer", "content": "The range is [0, infinite) and the domain is all real numbers (here, the horizontal shift does not matter)", "session_id": 18576, "sequence_id": 97, "annotations": []}
{"role": "student", "content": "How did you get that", "session_id": 18576, "sequence_id": 98, "annotations": []}
{"role": "volunteer", "content": "Do you see the graph?", "session_id": 18576, "sequence_id": 99, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 18576, "sequence_id": 100, "annotations": []}
{"role": "volunteer", "content": "What are all the possible x-vales?", "session_id": 18576, "sequence_id": 101, "annotations": []}
{"role": "volunteer", "content": "values", "session_id": 18576, "sequence_id": 102, "annotations": []}
{"role": "volunteer", "content": "Over what portion of the x-axis will it cover?", "session_id": 18576, "sequence_id": 103, "annotations": []}
{"role": "student", "content": "Anything between -10 and 10", "session_id": 18576, "sequence_id": 104, "annotations": []}
{"role": "volunteer", "content": "Why do you think that?", "session_id": 18576, "sequence_id": 105, "annotations": []}
{"role": "student", "content": "Wait, anything less than or equal to -10 and 10 because of the symbol", "session_id": 18576, "sequence_id": 106, "annotations": []}
{"role": "volunteer", "content": "No. It is all real numbers because it stretches infintely on the x-axis in both directions.", "session_id": 18576, "sequence_id": 107, "annotations": []}
{"role": "student", "content": "How?", "session_id": 18576, "sequence_id": 108, "annotations": []}
{"role": "volunteer", "content": "The graph is a V and its sides are contining forever (per the nature of the graph). The arrows represent infinite.", "session_id": 18576, "sequence_id": 109, "annotations": []}
{"role": "student", "content": "But wouldn't it be negative", "session_id": 18576, "sequence_id": 110, "annotations": []}
{"role": "volunteer", "content": "all real numbers includes possible negative values", "session_id": 18576, "sequence_id": 111, "annotations": []}
{"role": "student", "content": "So what does the domain indicate", "session_id": 18576, "sequence_id": 112, "annotations": []}
{"role": "volunteer", "content": "the x-values that can be inputed", "session_id": 18576, "sequence_id": 113, "annotations": []}
{"role": "volunteer", "content": "the range is separate on the y-axis", "session_id": 18576, "sequence_id": 114, "annotations": []}
{"role": "volunteer", "content": "Liam, I am so sorry but I must leave the session. You have been great. Contact support or requesting another session to continue your learning.", "session_id": 18576, "sequence_id": 115, "annotations": [{"pii_type": "PERSON", "surrogate": "Liam", "start": 0, "end": 4}]}
{"role": "student", "content": "Thank you again for all your help", "session_id": 18576, "sequence_id": 116, "annotations": []}
{"role": "volunteer", "content": "Your welcome!", "session_id": 18576, "sequence_id": 117, "annotations": []}
{"role": "volunteer", "content": "hello", "session_id": 18609, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "hiii", "session_id": 18609, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "ow r uu", "session_id": 18609, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "good", "session_id": 18609, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "how can i help you today", "session_id": 18609, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "I need help preparing for a unit exam", "session_id": 18609, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "did you want me to walk you through solving this problem?", "session_id": 18609, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "yes that would be great", "session_id": 18609, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "alright sounds good", "session_id": 18609, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "so do you know what complementary means", "session_id": 18609, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "yes but I forgot", "session_id": 18609, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "alright so complementary angles are angles whos sums add up to 90 degrees", "session_id": 18609, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "ok thats what I thought", "session_id": 18609, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "so we know that these two angles that we have to solve for add up to 90", "session_id": 18609, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "ok", "session_id": 18609, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "so then it says one angle is 3 degrees less than 2 times the other angle", "session_id": 18609, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "which i wrote as x=2y-3", "session_id": 18609, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "so now that we have that we can plug 2y-3 in for x", "session_id": 18609, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "ok that makes sense", "session_id": 18609, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "so when i plug that in i get 31 =y", "session_id": 18609, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "or 31 degrees for angle 2", "session_id": 18609, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "ok", "session_id": 18609, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "however the question is asking for both angles", "session_id": 18609, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "so we can plug in the value we got for y", "session_id": 18609, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "to find x", "session_id": 18609, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "and we get x=59", "session_id": 18609, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "any questions", "session_id": 18609, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "nope", "session_id": 18609, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "alright sounds good", "session_id": 18609, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "anything else you need help on today", "session_id": 18609, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "no thank u so much that helped a lot", "session_id": 18609, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "k", "session_id": 18609, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "well good luck on your exam", "session_id": 18609, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "and have a great rest of your day", "session_id": 18609, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "u too", "session_id": 18609, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "Hello I need help with solving this I honestly don't understand it since this has no numbers", "session_id": 18801, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 18801, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "basically it just wants you to get b on one side of the equal sign by itself", "session_id": 18801, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "yeah ik but like how", "session_id": 18801, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "so", "session_id": 18801, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "if we want to isolate b", "session_id": 18801, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "what should we remove first from the left side", "session_id": 18801, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "b?", "session_id": 18801, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "We want to remove all other terms from the left side so that we can solve for b(isolate b)", "session_id": 18801, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "ok", "session_id": 18801, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "what should we remove first?", "session_id": 18801, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "i dont see anything u drew i see black on the side but i can't see what it says my screen is small", "session_id": 18801, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "that was an accident", "session_id": 18801, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "k", "session_id": 18801, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "what should we remove first?", "session_id": 18801, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "a", "session_id": 18801, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "well we should start with \"m\" because it is the only number outside of the parenthesis", "session_id": 18801, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "o", "session_id": 18801, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "you should always try to deal with the numbers outside the parenthesis before the ones inside.", "session_id": 18801, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "does that make sense?", "session_id": 18801, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "mhm", "session_id": 18801, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "great", "session_id": 18801, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "so what is our first step then", "session_id": 18801, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "-m?", "session_id": 18801, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "oh multiply", "session_id": 18801, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "close..", "session_id": 18801, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "distributive", "session_id": 18801, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "well we want to remove m from the left side so we wouldn't want to distribute it right?", "session_id": 18801, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "oh", "session_id": 18801, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "divide?", "session_id": 18801, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "Since m is multiplying by the parenthesis and we want to remove it from the left side, what should we do", "session_id": 18801, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "yes!", "session_id": 18801, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "so we should divide both sides by m", "session_id": 18801, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "which isolates b some more", "session_id": 18801, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "so m/r?", "session_id": 18801, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "divide by sides BY m.", "session_id": 18801, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "divide both sides BY m", "session_id": 18801, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "so were dividing (b-a)m by m", "session_id": 18801, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "and r by m", "session_id": 18801, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "can you write it out on the board/", "session_id": 18801, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "i submitted it i got it right", "session_id": 18801, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "ok so basically", "session_id": 18801, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "that's great!", "session_id": 18801, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "im done with the homework but i mainly got it don with help but i really don't understand it", "session_id": 18801, "sequence_id": 43, "annotations": []}
{"role": "student", "content": "so is it fin if i rewrite out the equations", "session_id": 18801, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "and try to actually understand it", "session_id": 18801, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "like u help me?", "session_id": 18801, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "of course!", "session_id": 18801, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "go ahead", "session_id": 18801, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "Thank you there's 9 problems btw", "session_id": 18801, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 18801, "sequence_id": 50, "annotations": []}
{"role": "student", "content": "here's the first one", "session_id": 18801, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "wait", "session_id": 18801, "sequence_id": 52, "annotations": []}
{"role": "student", "content": "i'm gonna take a picture of my paper and then can u write all of the equations and then ill put my paper away? bc i don't want to see te answers", "session_id": 18801, "sequence_id": 53, "annotations": []}
{"role": "student", "content": "i wanna try and actually solve and understand it", "session_id": 18801, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "okay!", "session_id": 18801, "sequence_id": 55, "annotations": []}
{"role": "student", "content": "ok give me one second", "session_id": 18801, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "I'm glad you want to learn the content so that you don't fall behind!", "session_id": 18801, "sequence_id": 57, "annotations": []}
{"role": "student", "content": "yep!", "session_id": 18801, "sequence_id": 58, "annotations": []}
{"role": "student", "content": "here it is you can ss it or write each one on your paper", "session_id": 18801, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "ok thank you", "session_id": 18801, "sequence_id": 60, "annotations": []}
{"role": "student", "content": "yw", "session_id": 18801, "sequence_id": 61, "annotations": []}
{"role": "student", "content": "lmk when youre done", "session_id": 18801, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "alright", "session_id": 18801, "sequence_id": 63, "annotations": []}
{"role": "student", "content": "ok first one", "session_id": 18801, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "so were solving for h", "session_id": 18801, "sequence_id": 65, "annotations": []}
{"role": "student", "content": "can you put it on the whiteboard", "session_id": 18801, "sequence_id": 66, "annotations": []}
{"role": "student", "content": "so when it says solving for a letter that means it wants it on the outside as h= or a= or whatever it is", "session_id": 18801, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 18801, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "it doesn't matter which side its on, as long as its isolated(by itself)", "session_id": 18801, "sequence_id": 69, "annotations": []}
{"role": "student", "content": "ok", "session_id": 18801, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "since there are no parenthesis or exponents or anything then we can start with either the l or w", "session_id": 18801, "sequence_id": 71, "annotations": []}
{"role": "student", "content": "i dont see it", "session_id": 18801, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "what's your first step?", "session_id": 18801, "sequence_id": 73, "annotations": []}
{"role": "student", "content": "on the whiteboard btw", "session_id": 18801, "sequence_id": 74, "annotations": []}
{"role": "student", "content": "now i do", "session_id": 18801, "sequence_id": 75, "annotations": []}
{"role": "student", "content": "what are we solving for", "session_id": 18801, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "h", "session_id": 18801, "sequence_id": 77, "annotations": []}
{"role": "student", "content": "ok", "session_id": 18801, "sequence_id": 78, "annotations": []}
{"role": "student", "content": "so we start with l?", "session_id": 18801, "sequence_id": 79, "annotations": []}
{"role": "student", "content": "by  subtracting?", "session_id": 18801, "sequence_id": 80, "annotations": []}
{"role": "student", "content": "so basically if its multiplying you divide and if its add u do subtraction ?", "session_id": 18801, "sequence_id": 81, "annotations": []}
{"role": "volunteer", "content": "yup!", "session_id": 18801, "sequence_id": 82, "annotations": []}
{"role": "volunteer", "content": "just do the opposite", "session_id": 18801, "sequence_id": 83, "annotations": []}
{"role": "volunteer", "content": "but wait", "session_id": 18801, "sequence_id": 84, "annotations": []}
{"role": "student", "content": "ok", "session_id": 18801, "sequence_id": 85, "annotations": []}
{"role": "volunteer", "content": "how are l,w, and h related", "session_id": 18801, "sequence_id": 86, "annotations": []}
{"role": "student", "content": "theyre all together?", "session_id": 18801, "sequence_id": 87, "annotations": []}
{"role": "volunteer", "content": "are they being added, subtracted, multiplied, or divided together", "session_id": 18801, "sequence_id": 88, "annotations": []}
{"role": "student", "content": "subtracted?", "session_id": 18801, "sequence_id": 89, "annotations": []}
{"role": "student", "content": "since there are no negatives", "session_id": 18801, "sequence_id": 90, "annotations": []}
{"role": "volunteer", "content": "when there is no sign between them and they are just next to each other, they are being multiplied.", "session_id": 18801, "sequence_id": 91, "annotations": []}
{"role": "student", "content": "ooo omggg", "session_id": 18801, "sequence_id": 92, "annotations": []}
{"role": "volunteer", "content": "yeah haha", "session_id": 18801, "sequence_id": 93, "annotations": []}
{"role": "student", "content": "yeah u right", "session_id": 18801, "sequence_id": 94, "annotations": []}
{"role": "student", "content": "wait so", "session_id": 18801, "sequence_id": 95, "annotations": []}
{"role": "student", "content": "if it was N=wha it would be multiplied", "session_id": 18801, "sequence_id": 96, "annotations": []}
{"role": "student", "content": "if there's nothing there like completely nothing like no add multiplication", "session_id": 18801, "sequence_id": 97, "annotations": []}
{"role": "student", "content": "u multiply?", "session_id": 18801, "sequence_id": 98, "annotations": []}
{"role": "volunteer", "content": "if N was alone on one side?", "session_id": 18801, "sequence_id": 99, "annotations": []}
{"role": "volunteer", "content": "if something is alone it is not doing anything", "session_id": 18801, "sequence_id": 100, "annotations": []}
{"role": "student", "content": "No", "session_id": 18801, "sequence_id": 101, "annotations": []}
{"role": "volunteer", "content": "wait I'm confused", "session_id": 18801, "sequence_id": 102, "annotations": []}
{"role": "volunteer", "content": "what are you asking", "session_id": 18801, "sequence_id": 103, "annotations": []}
{"role": "student", "content": "like ifts N=ecf (im putting random letters)", "session_id": 18801, "sequence_id": 104, "annotations": []}
{"role": "student", "content": "we would multiply automaticalyl since theres nothing", "session_id": 18801, "sequence_id": 105, "annotations": []}
{"role": "student", "content": "like no addition, subtraction sign", "session_id": 18801, "sequence_id": 106, "annotations": []}
{"role": "student", "content": "or division", "session_id": 18801, "sequence_id": 107, "annotations": []}
{"role": "volunteer", "content": "yes, that means that e, c, and f are all being multiplied together", "session_id": 18801, "sequence_id": 108, "annotations": []}
{"role": "student", "content": "kk gotcha", "session_id": 18801, "sequence_id": 109, "annotations": []}
{"role": "volunteer", "content": "same with parenthesis, m(c+b) is m times (c+b)", "session_id": 18801, "sequence_id": 110, "annotations": []}
{"role": "student", "content": "ok so like this", "session_id": 18801, "sequence_id": 111, "annotations": []}
{"role": "volunteer", "content": "yep", "session_id": 18801, "sequence_id": 112, "annotations": []}
{"role": "student", "content": "so thats the answer?", "session_id": 18801, "sequence_id": 113, "annotations": []}
{"role": "volunteer", "content": "no, that's still the original question", "session_id": 18801, "sequence_id": 114, "annotations": []}
{"role": "volunteer", "content": "we still haven't done anything to isolate h!", "session_id": 18801, "sequence_id": 115, "annotations": []}
{"role": "student", "content": "ohh right we solving for h", "session_id": 18801, "sequence_id": 116, "annotations": []}
{"role": "student", "content": "but we multiplied the h as well?", "session_id": 18801, "sequence_id": 117, "annotations": []}
{"role": "student", "content": "and not the v", "session_id": 18801, "sequence_id": 118, "annotations": []}
{"role": "student", "content": "see this is where i gt confused at", "session_id": 18801, "sequence_id": 119, "annotations": []}
{"role": "volunteer", "content": "we want to isolate h,  so we need to move everything else (l and w) to the other side", "session_id": 18801, "sequence_id": 120, "annotations": []}
{"role": "volunteer", "content": "since l, w, and h are all multiplied", "session_id": 18801, "sequence_id": 121, "annotations": []}
{"role": "volunteer", "content": "we can move one of them to the other side by...---", "session_id": 18801, "sequence_id": 122, "annotations": []}
{"role": "student", "content": "dividing?", "session_id": 18801, "sequence_id": 123, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 18801, "sequence_id": 124, "annotations": []}
{"role": "student", "content": "ok can u give me a problem just like this", "session_id": 18801, "sequence_id": 125, "annotations": []}
{"role": "student", "content": "but with diff letters", "session_id": 18801, "sequence_id": 126, "annotations": []}
{"role": "student", "content": "and i solve on my own", "session_id": 18801, "sequence_id": 127, "annotations": []}
{"role": "volunteer", "content": "do you understand how to do it?", "session_id": 18801, "sequence_id": 128, "annotations": []}
{"role": "volunteer", "content": "how did you arrive at that answer", "session_id": 18801, "sequence_id": 129, "annotations": []}
{"role": "student", "content": "we solve for h so by diving it brings the V", "session_id": 18801, "sequence_id": 130, "annotations": []}
{"role": "student", "content": "and we put the V on top since we dividing so it doesnt go on bottom", "session_id": 18801, "sequence_id": 131, "annotations": []}
{"role": "volunteer", "content": "ok, do you understand?", "session_id": 18801, "sequence_id": 132, "annotations": []}
{"role": "student", "content": "i will see if i do with a new problem just like this", "session_id": 18801, "sequence_id": 133, "annotations": []}
{"role": "student", "content": "ill do it on my own", "session_id": 18801, "sequence_id": 134, "annotations": []}
{"role": "student", "content": "no i man", "session_id": 18801, "sequence_id": 135, "annotations": []}
{"role": "student", "content": "like", "session_id": 18801, "sequence_id": 136, "annotations": []}
{"role": "student", "content": "nvm that is just like it", "session_id": 18801, "sequence_id": 137, "annotations": []}
{"role": "student", "content": "like this?", "session_id": 18801, "sequence_id": 138, "annotations": []}
{"role": "volunteer", "content": "yup!", "session_id": 18801, "sequence_id": 139, "annotations": []}
{"role": "volunteer", "content": "great job!!", "session_id": 18801, "sequence_id": 140, "annotations": []}
{"role": "student", "content": ":0", "session_id": 18801, "sequence_id": 141, "annotations": []}
{"role": "student", "content": ":)*", "session_id": 18801, "sequence_id": 142, "annotations": []}
{"role": "student", "content": "Ok next onee!", "session_id": 18801, "sequence_id": 143, "annotations": []}
{"role": "student", "content": "wait let me write this", "session_id": 18801, "sequence_id": 144, "annotations": []}
{"role": "student", "content": "on paper", "session_id": 18801, "sequence_id": 145, "annotations": []}
{"role": "student", "content": "redo it", "session_id": 18801, "sequence_id": 146, "annotations": []}
{"role": "student", "content": "done next", "session_id": 18801, "sequence_id": 147, "annotations": []}
{"role": "student", "content": "okk this is diff", "session_id": 18801, "sequence_id": 148, "annotations": []}
{"role": "student", "content": "add h?", "session_id": 18801, "sequence_id": 149, "annotations": []}
{"role": "volunteer", "content": "we want to remove the other things like y and w", "session_id": 18801, "sequence_id": 150, "annotations": []}
{"role": "volunteer", "content": "we don't want to move the thing we are solving for", "session_id": 18801, "sequence_id": 151, "annotations": []}
{"role": "student", "content": "ok so add w?", "session_id": 18801, "sequence_id": 152, "annotations": []}
{"role": "student", "content": "or we work left to right so y?", "session_id": 18801, "sequence_id": 153, "annotations": []}
{"role": "volunteer", "content": "it doesn't matter what order you pick since there are no parenthesis or exponents here", "session_id": 18801, "sequence_id": 154, "annotations": []}
{"role": "volunteer", "content": "either works", "session_id": 18801, "sequence_id": 155, "annotations": []}
{"role": "student", "content": "kk", "session_id": 18801, "sequence_id": 156, "annotations": []}
{"role": "student", "content": "like this?", "session_id": 18801, "sequence_id": 157, "annotations": []}
{"role": "volunteer", "content": "if you subtract y from y-w-h, what happens to the y", "session_id": 18801, "sequence_id": 158, "annotations": []}
{"role": "volunteer", "content": "(y-w-h) minus y", "session_id": 18801, "sequence_id": 159, "annotations": []}
{"role": "volunteer", "content": "in y-w-h, y is positive but now you are subtracting a y from it.", "session_id": 18801, "sequence_id": 160, "annotations": []}
{"role": "volunteer", "content": "so... what will you get on the right side after you subtract y?", "session_id": 18801, "sequence_id": 161, "annotations": []}
{"role": "student", "content": "y is gone?", "session_id": 18801, "sequence_id": 162, "annotations": []}
{"role": "student", "content": "oh its positive", "session_id": 18801, "sequence_id": 163, "annotations": []}
{"role": "volunteer", "content": "yes, its basically like y-y", "session_id": 18801, "sequence_id": 164, "annotations": []}
{"role": "volunteer", "content": "you are subtracting the y away, making h more isolated!", "session_id": 18801, "sequence_id": 165, "annotations": []}
{"role": "student", "content": "wait so subtract again?", "session_id": 18801, "sequence_id": 166, "annotations": []}
{"role": "student", "content": "oh nvm i see", "session_id": 18801, "sequence_id": 167, "annotations": []}
{"role": "student", "content": "wait so its yw-h?", "session_id": 18801, "sequence_id": 168, "annotations": []}
{"role": "student", "content": "bc the w becomes positive too", "session_id": 18801, "sequence_id": 169, "annotations": []}
{"role": "volunteer", "content": "no, y was there, and now you subracted y from it so now its gone.", "session_id": 18801, "sequence_id": 170, "annotations": []}
{"role": "volunteer", "content": "that's it, nothing else happens.", "session_id": 18801, "sequence_id": 171, "annotations": []}
{"role": "student", "content": "wait what", "session_id": 18801, "sequence_id": 172, "annotations": []}
{"role": "student", "content": "can u write that out", "session_id": 18801, "sequence_id": 173, "annotations": []}
{"role": "student", "content": "i need to like visually see", "session_id": 18801, "sequence_id": 174, "annotations": []}
{"role": "volunteer", "content": "the number of Y's is positive one. there is a single y.", "session_id": 18801, "sequence_id": 175, "annotations": []}
{"role": "volunteer", "content": "right?", "session_id": 18801, "sequence_id": 176, "annotations": []}
{"role": "volunteer", "content": "now if you are going to subtract a y from that side, you are SUBTRACTING or REMOVING a y from that side. Thus, the y on this side will be gone.", "session_id": 18801, "sequence_id": 177, "annotations": []}
{"role": "student", "content": "ok", "session_id": 18801, "sequence_id": 178, "annotations": []}
{"role": "student", "content": "ok i see holdon", "session_id": 18801, "sequence_id": 179, "annotations": []}
{"role": "student", "content": "Emily rewrite this out", "session_id": 18801, "sequence_id": 180, "annotations": [{"pii_type": "PERSON", "surrogate": "Emily", "start": 0, "end": 5}]}
{"role": "student", "content": "can u like write it with the pin thing on hre", "session_id": 18801, "sequence_id": 181, "annotations": []}
{"role": "student", "content": "like subtracting the y", "session_id": 18801, "sequence_id": 182, "annotations": []}
{"role": "volunteer", "content": "ok, I have to go for a few minutes but I'll try to come back soon", "session_id": 18801, "sequence_id": 183, "annotations": []}
{"role": "student", "content": "ok", "session_id": 18801, "sequence_id": 184, "annotations": []}
{"role": "student", "content": "when will u be back?", "session_id": 18801, "sequence_id": 185, "annotations": []}
{"role": "student", "content": "lmk when your back i will go brb as well please dont end the session", "session_id": 18801, "sequence_id": 186, "annotations": []}
{"role": "student", "content": "back", "session_id": 18801, "sequence_id": 187, "annotations": []}
{"role": "volunteer", "content": "I am sorry about that, I left my home and I didn't have network connection for a while to reconnect to the chat.", "session_id": 18801, "sequence_id": 188, "annotations": []}
{"role": "volunteer", "content": "Hi again", "session_id": 18855, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "Hi sorry I had to leave ", "session_id": 18855, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "I did respond to you, but I don't think you saw it.", "session_id": 18855, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "Oh I\u2019m sorry ", "session_id": 18855, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "Idk my phone is messing up ", "session_id": 18855, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "You can upload the image again.", "session_id": 18855, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "Do you understand what mean is?", "session_id": 18855, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "Is it were you add all the # and then devide ", "session_id": 18855, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "Divide ", "session_id": 18855, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "Yes, similar to average.", "session_id": 18855, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "Ohhhh", "session_id": 18855, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "Ok", "session_id": 18855, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "For a, it asks for the fastest typical race time, this would be focusing on the average.", "session_id": 18855, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "I\u2019m also taking notes so take me a while ", "session_id": 18855, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "I\u2019m also taking notes so take me a while ", "session_id": 18855, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "Okay, take your time.", "session_id": 18855, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "Ok I\u2019m. Ready", "session_id": 18855, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "You can read above on my comments for a.", "session_id": 18855, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "Would it be 3.99", "session_id": 18855, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "Second ", "session_id": 18855, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "That isn't the fastest mean race time.", "session_id": 18855, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "That\u2019s the fastest time right ", "session_id": 18855, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "B has 3.96", "session_id": 18855, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "Do you meant by \"second\" as in driver b?", "session_id": 18855, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "\nHello", "session_id": 18855, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "Yes, I'm here.", "session_id": 18855, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "Do you meant by driver B when you refer to \"second?\"", "session_id": 18855, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "Oh wait driver c", "session_id": 18855, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "Sorry yeah b ", "session_id": 18855, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "Yes, because the number of seconds is lowest, which means fastest.", "session_id": 18855, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "Do you understand?", "session_id": 18855, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "Yes I do", "session_id": 18855, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "Moving on to b, this focuses on standard deviation. Do you understand why?", "session_id": 18855, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "Why?", "session_id": 18855, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "Because standard deviation is seconds away from the mean. With more variables, it asks for which one has more variables differing from the mean calculated.", "session_id": 18855, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "Do you understand what I mean?", "session_id": 18855, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "Why", "session_id": 18855, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "Sorry ", "session_id": 18855, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "Yeah I understand ", "session_id": 18855, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "But can you explain like a example ", "session_id": 18855, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "There are different types of standard deviation: low and high.", "session_id": 18855, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "Ohhh", "session_id": 18855, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "Let\u2019s say you have the following test scores:\n\n80, 82, 81, 79, 83\n\nThe mean (average) is: \n(80+82+81+79+83)/5=81\n\nEach score is close to 81, so the standard deviation will be low.\n\nNow compare that to this set:\n\n60, 90, 75, 100, 35\n\nThe mean is: \n(60+90+75+100+35)/5=72\n\nThese scores are all over the place, so the standard deviation will be high.", "session_id": 18855, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "Do you understand what may be the answer for b?", "session_id": 18855, "sequence_id": 43, "annotations": []}
{"role": "student", "content": "I want to say C", "session_id": 18855, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "But I\u2019m not sure ", "session_id": 18855, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "That is correct. To rephrase b, the question is asking for the highest standard deviation.", "session_id": 18855, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "This would mean the number of seconds.", "session_id": 18855, "sequence_id": 47, "annotations": []}
{"role": "student", "content": "Am I right?", "session_id": 18855, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "Yes", "session_id": 18855, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "We can move on to C if you are ready.", "session_id": 18855, "sequence_id": 50, "annotations": []}
{"role": "student", "content": "Hello", "session_id": 18855, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "Okay. For C, we can predict the one with the fastest race time and the least variability.", "session_id": 18855, "sequence_id": 52, "annotations": []}
{"role": "student", "content": "Ok um is the deviation the lowest ", "session_id": 18855, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "I'm not quite sure what you're referring to. For question C, they are asking you to use mean and standard deviation.", "session_id": 18855, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "This means that the fastest race time and the least variability could be your prediction for the next race.", "session_id": 18855, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "Do you understand what might be the answer?", "session_id": 18855, "sequence_id": 56, "annotations": []}
{"role": "student", "content": "C has the fastest race but the deviation is 0.19 seconds ", "session_id": 18855, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "No, look more carefully on the fastest race time", "session_id": 18855, "sequence_id": 58, "annotations": []}
{"role": "student", "content": "B", "session_id": 18855, "sequence_id": 59, "annotations": []}
{"role": "student", "content": "Has the fastest ", "session_id": 18855, "sequence_id": 60, "annotations": []}
{"role": "student", "content": "Sorry I keep messing up ", "session_id": 18855, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "Yes, and the standard deviation is also quite low.", "session_id": 18855, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "From the information provided, what do you predict?", "session_id": 18855, "sequence_id": 63, "annotations": []}
{"role": "student", "content": "Be has the fastest race time and a deviation of 0.12", "session_id": 18855, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "Yes, that is correct", "session_id": 18855, "sequence_id": 65, "annotations": []}
{"role": "student", "content": "Ok:)", "session_id": 18855, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "Moving on to question 2, it states that the average fabric is 23 mm long with variability of 0.6mm", "session_id": 18855, "sequence_id": 67, "annotations": []}
{"role": "student", "content": "How would we find the mean", "session_id": 18855, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "They say the mean in the title.", "session_id": 18855, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "Oh, I realized it asked to interpret it in the context.", "session_id": 18855, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "I just did that. Sorry.", "session_id": 18855, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "Do you understand what the meaning is to put it in context?", "session_id": 18855, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "It gives you the measurements. Mean is 23 mm; standard deviation is 0.6. Put that in the context of the fabric.", "session_id": 18855, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "It's open response.", "session_id": 18855, "sequence_id": 74, "annotations": []}
{"role": "student", "content": "Oh ok I was gonna say that but wasn\u2019t sure if I had to dived or sm", "session_id": 18855, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "Okay. Would 3 be the last question?", "session_id": 18855, "sequence_id": 76, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 18855, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "Okay, let's move on to 3 whenever you're ready.", "session_id": 18855, "sequence_id": 78, "annotations": []}
{"role": "student", "content": "I\u2019m ready", "session_id": 18855, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "It asks for all statement that is true, which means more than one answer can be circled here.", "session_id": 18855, "sequence_id": 80, "annotations": []}
{"role": "volunteer", "content": "What do you know already that you can circle as true?", "session_id": 18855, "sequence_id": 81, "annotations": []}
{"role": "student", "content": "B and d", "session_id": 18855, "sequence_id": 82, "annotations": []}
{"role": "volunteer", "content": "Yes, do you think there is any other answers or is that all?", "session_id": 18855, "sequence_id": 83, "annotations": []}
{"role": "student", "content": "Just b and d", "session_id": 18855, "sequence_id": 84, "annotations": []}
{"role": "volunteer", "content": "Yes, that is correct!", "session_id": 18855, "sequence_id": 85, "annotations": []}
{"role": "volunteer", "content": "Great job", "session_id": 18855, "sequence_id": 86, "annotations": []}
{"role": "student", "content": "Yes thank you so much:)", "session_id": 18855, "sequence_id": 87, "annotations": []}
{"role": "student", "content": "Sorry for all the trouble ", "session_id": 18855, "sequence_id": 88, "annotations": []}
{"role": "volunteer", "content": "You're welcome!", "session_id": 18855, "sequence_id": 89, "annotations": []}
{"role": "volunteer", "content": "You don't need to apologize.", "session_id": 18855, "sequence_id": 90, "annotations": []}
{"role": "volunteer", "content": "It was a pleasure tutoring you. Have a good day!", "session_id": 18855, "sequence_id": 91, "annotations": []}
{"role": "student", "content": "You to bye:)", "session_id": 18855, "sequence_id": 92, "annotations": []}
{"role": "student", "content": "!", "session_id": 18855, "sequence_id": 93, "annotations": []}
{"role": "volunteer", "content": "Hi Emily, I'm David, how can I help?", "session_id": 19385, "sequence_id": 0, "annotations": [{"pii_type": "PERSON", "surrogate": "Emily", "start": 3, "end": 8}, {"pii_type": "PERSON", "surrogate": "David", "start": 14, "end": 19}]}
{"role": "student", "content": "Hello. Can you help me solve polynomials? Dividing and Simplifying", "session_id": 19385, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "Sounds good!", "session_id": 19385, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "Do you have some problems to go over or should I find them", "session_id": 19385, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "I also need to take notes on thiss", "session_id": 19385, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "alright", "session_id": 19385, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "You can find them- I don't want to go in the Quiz and grab questions as that violates the Code of conduct.", "session_id": 19385, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "Yeah that makes sense", "session_id": 19385, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "Could you write one example question though so I know the difficulty we're looking for", "session_id": 19385, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "like come up with one", "session_id": 19385, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "Uhmm Simplifying.... like bx^1/ b^3 or something along the lines of that...", "session_id": 19385, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "bx^1?", "session_id": 19385, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "Simplifying.. idk how to come up with one of those", "session_id": 19385, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "so just bx", "session_id": 19385, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "Yea.... i guess..", "session_id": 19385, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "Idk", "session_id": 19385, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "alright, i'll try to find some let me know if they're what you had in mind", "session_id": 19385, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "Okay. Thx you", "session_id": 19385, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "this type of problem?", "session_id": 19385, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "which one- the 1st one or the 2nd one?", "session_id": 19385, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "Either", "session_id": 19385, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "the 3rd one is simplifying", "session_id": 19385, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "or dividing- so thats good", "session_id": 19385, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "this type?", "session_id": 19385, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "Yes.", "session_id": 19385, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "The second one is subtracting, so that's a no- I already learned how to do that", "session_id": 19385, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "How would you solve that one so you can walk me through it and give me thesteps on how to accomplish that", "session_id": 19385, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "sure, we can start with this one", "session_id": 19385, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "Yes those and the one you pointed at are kind of similar to the ones on the test.", "session_id": 19385, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "Okay thank you.", "session_id": 19385, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "do you know how to do fraction multiplication?", "session_id": 19385, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "No... not sure what that is...", "session_id": 19385, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "Just like", "session_id": 19385, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "1/2 x 3/8", "session_id": 19385, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "oh yes.", "session_id": 19385, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "you multiply the bottom numbers and top numbers", "session_id": 19385, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "You find the commonf denomiantor first", "session_id": 19385, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "common*", "session_id": 19385, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "well for multiplication you don't have to", "session_id": 19385, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "you can actually just multiply the two bottom numbers", "session_id": 19385, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "so 16", "session_id": 19385, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "and top numbers", "session_id": 19385, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "3", "session_id": 19385, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "oh okay", "session_id": 19385, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "so 3/16 is 1/2 x 3/8", "session_id": 19385, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "okay", "session_id": 19385, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "anyways that's how I like to think about these", "session_id": 19385, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "So let's start by identifying like terms", "session_id": 19385, "sequence_id": 47, "annotations": []}
{"role": "student", "content": "oka.", "session_id": 19385, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "which ones might simplify each other", "session_id": 19385, "sequence_id": 49, "annotations": []}
{"role": "student", "content": "*okay*", "session_id": 19385, "sequence_id": 50, "annotations": []}
{"role": "student", "content": "5 and 1", "session_id": 19385, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "maybe underline the ones that can simplify each other in the same color", "session_id": 19385, "sequence_id": 52, "annotations": []}
{"role": "student", "content": "3 and 7", "session_id": 19385, "sequence_id": 53, "annotations": []}
{"role": "student", "content": "okay", "session_id": 19385, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "meant to be a 2 lol", "session_id": 19385, "sequence_id": 55, "annotations": []}
{"role": "student", "content": "oh okay, :)", "session_id": 19385, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "so we can actually", "session_id": 19385, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "separate them", "session_id": 19385, "sequence_id": 58, "annotations": []}
{"role": "student", "content": "okay", "session_id": 19385, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "do you see why we can do that?", "session_id": 19385, "sequence_id": 60, "annotations": []}
{"role": "student", "content": "yes", "session_id": 19385, "sequence_id": 61, "annotations": []}
{"role": "student", "content": "actually no...", "session_id": 19385, "sequence_id": 62, "annotations": []}
{"role": "student", "content": "can you explain...", "session_id": 19385, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "for sure!", "session_id": 19385, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "fraction multiplication you multiply the bottom numbers and top numbers", "session_id": 19385, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "so all the bottom numbers times each other is?", "session_id": 19385, "sequence_id": 66, "annotations": []}
{"role": "student", "content": "3 x 7 = 21, correct?", "session_id": 19385, "sequence_id": 67, "annotations": []}
{"role": "student", "content": "and 5 x 2 = 10, correct?", "session_id": 19385, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "yeah", "session_id": 19385, "sequence_id": 69, "annotations": []}
{"role": "student", "content": "so x^21 and y^10", "session_id": 19385, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "but why are you multiplying the exponents", "session_id": 19385, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "it's division", "session_id": 19385, "sequence_id": 72, "annotations": []}
{"role": "student", "content": "oh...", "session_id": 19385, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "oh wait sorry im being confusing", "session_id": 19385, "sequence_id": 74, "annotations": []}
{"role": "student", "content": "okay", "session_id": 19385, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "i meant in fraction multiplication", "session_id": 19385, "sequence_id": 76, "annotations": []}
{"role": "student", "content": "oh", "session_id": 19385, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "it's all the bottom numbers multiplied by each other", "session_id": 19385, "sequence_id": 78, "annotations": []}
{"role": "student", "content": "okay", "session_id": 19385, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "so 45 times x^7 times y^2", "session_id": 19385, "sequence_id": 80, "annotations": []}
{"role": "volunteer", "content": "which is the same as this", "session_id": 19385, "sequence_id": 81, "annotations": []}
{"role": "student", "content": "i'm not so sure", "session_id": 19385, "sequence_id": 82, "annotations": []}
{"role": "volunteer", "content": "Am i making no sense", "session_id": 19385, "sequence_id": 83, "annotations": []}
{"role": "volunteer", "content": "alright forget the fraction stuff", "session_id": 19385, "sequence_id": 84, "annotations": []}
{"role": "student", "content": "no your making sense, I just don't get it...", "session_id": 19385, "sequence_id": 85, "annotations": []}
{"role": "student", "content": "Is there another method to solve this? One that would be easier?", "session_id": 19385, "sequence_id": 86, "annotations": []}
{"role": "volunteer", "content": "yeah for sure", "session_id": 19385, "sequence_id": 87, "annotations": []}
{"role": "volunteer", "content": "let's do it another way", "session_id": 19385, "sequence_id": 88, "annotations": []}
{"role": "student", "content": "okay :)", "session_id": 19385, "sequence_id": 89, "annotations": []}
{"role": "volunteer", "content": "so let's go back to here", "session_id": 19385, "sequence_id": 90, "annotations": []}
{"role": "volunteer", "content": "we identified like terms", "session_id": 19385, "sequence_id": 91, "annotations": []}
{"role": "student", "content": "okay..", "session_id": 19385, "sequence_id": 92, "annotations": []}
{"role": "volunteer", "content": "what about 15 and 45", "session_id": 19385, "sequence_id": 93, "annotations": []}
{"role": "volunteer", "content": "how might those two simplify", "session_id": 19385, "sequence_id": 94, "annotations": []}
{"role": "student", "content": "45/15?", "session_id": 19385, "sequence_id": 95, "annotations": []}
{"role": "volunteer", "content": "well imagine you just had 15/45 as a fraction", "session_id": 19385, "sequence_id": 96, "annotations": []}
{"role": "volunteer", "content": "would that be its simplest form", "session_id": 19385, "sequence_id": 97, "annotations": []}
{"role": "student", "content": "okay...", "session_id": 19385, "sequence_id": 98, "annotations": []}
{"role": "student", "content": "no.. you could still divide ot", "session_id": 19385, "sequence_id": 99, "annotations": []}
{"role": "student", "content": "it*", "session_id": 19385, "sequence_id": 100, "annotations": []}
{"role": "volunteer", "content": "Perfect!", "session_id": 19385, "sequence_id": 101, "annotations": []}
{"role": "volunteer", "content": "what would you divide out", "session_id": 19385, "sequence_id": 102, "annotations": []}
{"role": "student", "content": "15 and 45 have a common factor of 5", "session_id": 19385, "sequence_id": 103, "annotations": []}
{"role": "student", "content": "thats the GCF", "session_id": 19385, "sequence_id": 104, "annotations": []}
{"role": "volunteer", "content": "close", "session_id": 19385, "sequence_id": 105, "annotations": []}
{"role": "volunteer", "content": "they have one slightly larger", "session_id": 19385, "sequence_id": 106, "annotations": []}
{"role": "student", "content": "oh.. uhm... 15?", "session_id": 19385, "sequence_id": 107, "annotations": []}
{"role": "volunteer", "content": "Yep!", "session_id": 19385, "sequence_id": 108, "annotations": []}
{"role": "volunteer", "content": "Exactly!", "session_id": 19385, "sequence_id": 109, "annotations": []}
{"role": "student", "content": "oh. okay.", "session_id": 19385, "sequence_id": 110, "annotations": []}
{"role": "volunteer", "content": "so what would you do with that", "session_id": 19385, "sequence_id": 111, "annotations": []}
{"role": "volunteer", "content": "how would you use that to simplify 15/45", "session_id": 19385, "sequence_id": 112, "annotations": []}
{"role": "student", "content": "you would divide 15/ 15 and 45/15", "session_id": 19385, "sequence_id": 113, "annotations": []}
{"role": "volunteer", "content": "Perfect!", "session_id": 19385, "sequence_id": 114, "annotations": []}
{"role": "student", "content": "that would give you...", "session_id": 19385, "sequence_id": 115, "annotations": []}
{"role": "student", "content": "1/3", "session_id": 19385, "sequence_id": 116, "annotations": []}
{"role": "volunteer", "content": "Exactly!", "session_id": 19385, "sequence_id": 117, "annotations": []}
{"role": "volunteer", "content": "so we can cancel the 15 and 45", "session_id": 19385, "sequence_id": 118, "annotations": []}
{"role": "volunteer", "content": "and make them 1 and 3", "session_id": 19385, "sequence_id": 119, "annotations": []}
{"role": "student", "content": "okay so you would subtract the exponents?", "session_id": 19385, "sequence_id": 120, "annotations": []}
{"role": "volunteer", "content": "Yep!", "session_id": 19385, "sequence_id": 121, "annotations": []}
{"role": "student", "content": "so it would be 3-7, corrct?", "session_id": 19385, "sequence_id": 122, "annotations": []}
{"role": "volunteer", "content": "perfect!", "session_id": 19385, "sequence_id": 123, "annotations": []}
{"role": "student", "content": "and then that would be the exponent of x would be -5 and the exponent of y would be positive 3", "session_id": 19385, "sequence_id": 124, "annotations": []}
{"role": "volunteer", "content": "close", "session_id": 19385, "sequence_id": 125, "annotations": []}
{"role": "volunteer", "content": "check your math on the -5", "session_id": 19385, "sequence_id": 126, "annotations": []}
{"role": "student", "content": "oh...", "session_id": 19385, "sequence_id": 127, "annotations": []}
{"role": "volunteer", "content": "3-7 isn't -5", "session_id": 19385, "sequence_id": 128, "annotations": []}
{"role": "student", "content": "3-7", "session_id": 19385, "sequence_id": 129, "annotations": []}
{"role": "student", "content": "oh -4", "session_id": 19385, "sequence_id": 130, "annotations": []}
{"role": "student", "content": "I'msorry.", "session_id": 19385, "sequence_id": 131, "annotations": []}
{"role": "volunteer", "content": "Good catch!", "session_id": 19385, "sequence_id": 132, "annotations": []}
{"role": "student", "content": "I'm sorry*", "session_id": 19385, "sequence_id": 133, "annotations": []}
{"role": "volunteer", "content": "No problem!", "session_id": 19385, "sequence_id": 134, "annotations": []}
{"role": "volunteer", "content": "Alright, sorry I confused you at first", "session_id": 19385, "sequence_id": 135, "annotations": []}
{"role": "volunteer", "content": "want to try another?", "session_id": 19385, "sequence_id": 136, "annotations": []}
{"role": "student", "content": "No.. You didn't, I just didn't get it... I'm getting it now, thanks.", "session_id": 19385, "sequence_id": 137, "annotations": []}
{"role": "student", "content": "Yes! That would be wonderful", "session_id": 19385, "sequence_id": 138, "annotations": []}
{"role": "student", "content": "You can clear the board", "session_id": 19385, "sequence_id": 139, "annotations": []}
{"role": "student", "content": "Then it would be easier to write...", "session_id": 19385, "sequence_id": 140, "annotations": []}
{"role": "student", "content": "okay.", "session_id": 19385, "sequence_id": 141, "annotations": []}
{"role": "volunteer", "content": "This one is trickier", "session_id": 19385, "sequence_id": 142, "annotations": []}
{"role": "student", "content": "is that a c?", "session_id": 19385, "sequence_id": 143, "annotations": []}
{"role": "volunteer", "content": "is which", "session_id": 19385, "sequence_id": 144, "annotations": []}
{"role": "student", "content": "the one by 7 with the exponent of 4", "session_id": 19385, "sequence_id": 145, "annotations": []}
{"role": "volunteer", "content": "meant to be y", "session_id": 19385, "sequence_id": 146, "annotations": []}
{"role": "student", "content": "oh.", "session_id": 19385, "sequence_id": 147, "annotations": []}
{"role": "student", "content": "thanks. :)", "session_id": 19385, "sequence_id": 148, "annotations": []}
{"role": "volunteer", "content": "ofc", "session_id": 19385, "sequence_id": 149, "annotations": []}
{"role": "student", "content": "okay", "session_id": 19385, "sequence_id": 150, "annotations": []}
{"role": "volunteer", "content": "so how would you start", "session_id": 19385, "sequence_id": 151, "annotations": []}
{"role": "student", "content": "7/56 = 8", "session_id": 19385, "sequence_id": 152, "annotations": []}
{"role": "student", "content": "i mean 1/8", "session_id": 19385, "sequence_id": 153, "annotations": []}
{"role": "volunteer", "content": "Perfect!", "session_id": 19385, "sequence_id": 154, "annotations": []}
{"role": "volunteer", "content": "Not quite", "session_id": 19385, "sequence_id": 155, "annotations": []}
{"role": "student", "content": "oh...", "session_id": 19385, "sequence_id": 156, "annotations": []}
{"role": "volunteer", "content": "because just plain w", "session_id": 19385, "sequence_id": 157, "annotations": []}
{"role": "volunteer", "content": "isn't w^0", "session_id": 19385, "sequence_id": 158, "annotations": []}
{"role": "volunteer", "content": "it's actually w^1", "session_id": 19385, "sequence_id": 159, "annotations": []}
{"role": "student", "content": "56 has a w^2", "session_id": 19385, "sequence_id": 160, "annotations": []}
{"role": "volunteer", "content": "yeah", "session_id": 19385, "sequence_id": 161, "annotations": []}
{"role": "student", "content": "oh...", "session_id": 19385, "sequence_id": 162, "annotations": []}
{"role": "volunteer", "content": "but the top one one is w^1", "session_id": 19385, "sequence_id": 163, "annotations": []}
{"role": "volunteer", "content": "so 1-2", "session_id": 19385, "sequence_id": 164, "annotations": []}
{"role": "volunteer", "content": "does that make sense?", "session_id": 19385, "sequence_id": 165, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 19385, "sequence_id": 166, "annotations": []}
{"role": "volunteer", "content": "nice", "session_id": 19385, "sequence_id": 167, "annotations": []}
{"role": "student", "content": "okay... is it right?", "session_id": 19385, "sequence_id": 168, "annotations": []}
{"role": "volunteer", "content": "it's close", "session_id": 19385, "sequence_id": 169, "annotations": []}
{"role": "student", "content": "oh... okay.", "session_id": 19385, "sequence_id": 170, "annotations": []}
{"role": "volunteer", "content": "but I made this one extra hard", "session_id": 19385, "sequence_id": 171, "annotations": []}
{"role": "volunteer", "content": "and my handwriting on the board isn't great", "session_id": 19385, "sequence_id": 172, "annotations": []}
{"role": "volunteer", "content": "so let's work through this one together", "session_id": 19385, "sequence_id": 173, "annotations": []}
{"role": "volunteer", "content": "you got 1/8 right", "session_id": 19385, "sequence_id": 174, "annotations": []}
{"role": "student", "content": "It;s all right, Mines sucks too... :)", "session_id": 19385, "sequence_id": 175, "annotations": []}
{"role": "volunteer", "content": "then x^6 over x^3", "session_id": 19385, "sequence_id": 176, "annotations": []}
{"role": "volunteer", "content": "x^3 you got", "session_id": 19385, "sequence_id": 177, "annotations": []}
{"role": "volunteer", "content": "ok this one", "session_id": 19385, "sequence_id": 178, "annotations": []}
{"role": "volunteer", "content": "w^1", "session_id": 19385, "sequence_id": 179, "annotations": []}
{"role": "volunteer", "content": "over w^2", "session_id": 19385, "sequence_id": 180, "annotations": []}
{"role": "volunteer", "content": "what should the subtraction be", "session_id": 19385, "sequence_id": 181, "annotations": []}
{"role": "student", "content": "-w", "session_id": 19385, "sequence_id": 182, "annotations": []}
{"role": "volunteer", "content": "-w?", "session_id": 19385, "sequence_id": 183, "annotations": []}
{"role": "student", "content": "w^-1", "session_id": 19385, "sequence_id": 184, "annotations": []}
{"role": "volunteer", "content": "there we go", "session_id": 19385, "sequence_id": 185, "annotations": []}
{"role": "volunteer", "content": "good catch", "session_id": 19385, "sequence_id": 186, "annotations": []}
{"role": "student", "content": "okay..", "session_id": 19385, "sequence_id": 187, "annotations": []}
{"role": "volunteer", "content": "then y", "session_id": 19385, "sequence_id": 188, "annotations": []}
{"role": "volunteer", "content": "y^4 over y^2", "session_id": 19385, "sequence_id": 189, "annotations": []}
{"role": "volunteer", "content": "you got that right", "session_id": 19385, "sequence_id": 190, "annotations": []}
{"role": "volunteer", "content": "but then", "session_id": 19385, "sequence_id": 191, "annotations": []}
{"role": "volunteer", "content": "I threw in an extra sneaky x", "session_id": 19385, "sequence_id": 192, "annotations": []}
{"role": "volunteer", "content": "x^4 on the bottom", "session_id": 19385, "sequence_id": 193, "annotations": []}
{"role": "student", "content": "David i see it", "session_id": 19385, "sequence_id": 194, "annotations": [{"pii_type": "PERSON", "surrogate": "David", "start": 0, "end": 5}]}
{"role": "volunteer", "content": "so we take our x^3", "session_id": 19385, "sequence_id": 195, "annotations": []}
{"role": "volunteer", "content": "over x^4", "session_id": 19385, "sequence_id": 196, "annotations": []}
{"role": "volunteer", "content": "and our x^3 turns into?", "session_id": 19385, "sequence_id": 197, "annotations": []}
{"role": "student", "content": "0.5", "session_id": 19385, "sequence_id": 198, "annotations": []}
{"role": "student", "content": "0.75", "session_id": 19385, "sequence_id": 199, "annotations": []}
{"role": "volunteer", "content": "not quite", "session_id": 19385, "sequence_id": 200, "annotations": []}
{"role": "volunteer", "content": "remember the subtraction", "session_id": 19385, "sequence_id": 201, "annotations": []}
{"role": "student", "content": "which is 3.4", "session_id": 19385, "sequence_id": 202, "annotations": []}
{"role": "student", "content": "3/4", "session_id": 19385, "sequence_id": 203, "annotations": []}
{"role": "volunteer", "content": "3-4", "session_id": 19385, "sequence_id": 204, "annotations": []}
{"role": "student", "content": "-1", "session_id": 19385, "sequence_id": 205, "annotations": []}
{"role": "volunteer", "content": "not division", "session_id": 19385, "sequence_id": 206, "annotations": []}
{"role": "volunteer", "content": "Yep!", "session_id": 19385, "sequence_id": 207, "annotations": []}
{"role": "student", "content": "oh yeah... I forgot about that.. My bad..", "session_id": 19385, "sequence_id": 208, "annotations": []}
{"role": "volunteer", "content": "all good!", "session_id": 19385, "sequence_id": 209, "annotations": []}
{"role": "volunteer", "content": "and then we have z", "session_id": 19385, "sequence_id": 210, "annotations": []}
{"role": "student", "content": "okay..", "session_id": 19385, "sequence_id": 211, "annotations": []}
{"role": "volunteer", "content": "which is z^1", "session_id": 19385, "sequence_id": 212, "annotations": []}
{"role": "student", "content": "Oh yeah,.. I forgot about z", "session_id": 19385, "sequence_id": 213, "annotations": []}
{"role": "volunteer", "content": "and there's no z on the bottom", "session_id": 19385, "sequence_id": 214, "annotations": []}
{"role": "volunteer", "content": "so 1-0", "session_id": 19385, "sequence_id": 215, "annotations": []}
{"role": "volunteer", "content": "and we end up with this", "session_id": 19385, "sequence_id": 216, "annotations": []}
{"role": "student", "content": "z^4", "session_id": 19385, "sequence_id": 217, "annotations": []}
{"role": "volunteer", "content": "how'd you get that?", "session_id": 19385, "sequence_id": 218, "annotations": []}
{"role": "student", "content": "4 stays by itself since it is not divided by anything.", "session_id": 19385, "sequence_id": 219, "annotations": []}
{"role": "student", "content": "That's how i got it.", "session_id": 19385, "sequence_id": 220, "annotations": []}
{"role": "volunteer", "content": "z doesn't have a 4", "session_id": 19385, "sequence_id": 221, "annotations": []}
{"role": "volunteer", "content": "that's y", "session_id": 19385, "sequence_id": 222, "annotations": []}
{"role": "student", "content": "Oh...right... Good catch,,", "session_id": 19385, "sequence_id": 223, "annotations": []}
{"role": "volunteer", "content": "alright, i'll let you do this one on your own", "session_id": 19385, "sequence_id": 224, "annotations": []}
{"role": "student", "content": "okay.", "session_id": 19385, "sequence_id": 225, "annotations": []}
{"role": "student", "content": "correct?", "session_id": 19385, "sequence_id": 226, "annotations": []}
{"role": "volunteer", "content": "close", "session_id": 19385, "sequence_id": 227, "annotations": []}
{"role": "volunteer", "content": "9x is right", "session_id": 19385, "sequence_id": 228, "annotations": []}
{"role": "volunteer", "content": "but z with nothing next to it", "session_id": 19385, "sequence_id": 229, "annotations": []}
{"role": "volunteer", "content": "Yep!", "session_id": 19385, "sequence_id": 230, "annotations": []}
{"role": "volunteer", "content": "and C^0", "session_id": 19385, "sequence_id": 231, "annotations": []}
{"role": "volunteer", "content": "plain c would be c^1", "session_id": 19385, "sequence_id": 232, "annotations": []}
{"role": "volunteer", "content": "and 2-2 isn't 1", "session_id": 19385, "sequence_id": 233, "annotations": []}
{"role": "volunteer", "content": "Yep!", "session_id": 19385, "sequence_id": 234, "annotations": []}
{"role": "volunteer", "content": "and what is C^0 the same as?", "session_id": 19385, "sequence_id": 235, "annotations": []}
{"role": "volunteer", "content": "imagine you divide a number by itself", "session_id": 19385, "sequence_id": 236, "annotations": []}
{"role": "student", "content": "nothing...", "session_id": 19385, "sequence_id": 237, "annotations": []}
{"role": "volunteer", "content": "8/8", "session_id": 19385, "sequence_id": 238, "annotations": []}
{"role": "volunteer", "content": "34/34", "session_id": 19385, "sequence_id": 239, "annotations": []}
{"role": "student", "content": "OH YEAh.... i forgot... It Cancels out", "session_id": 19385, "sequence_id": 240, "annotations": []}
{"role": "volunteer", "content": "Yep!", "session_id": 19385, "sequence_id": 241, "annotations": []}
{"role": "student", "content": "oh... 1", "session_id": 19385, "sequence_id": 242, "annotations": []}
{"role": "volunteer", "content": "and 1 times a number is?", "session_id": 19385, "sequence_id": 243, "annotations": []}
{"role": "student", "content": "the #", "session_id": 19385, "sequence_id": 244, "annotations": []}
{"role": "volunteer", "content": "Yep!", "session_id": 19385, "sequence_id": 245, "annotations": []}
{"role": "volunteer", "content": "so we can just get rid of it", "session_id": 19385, "sequence_id": 246, "annotations": []}
{"role": "student", "content": "okay.  I get it now... can you help me with simplifying", "session_id": 19385, "sequence_id": 247, "annotations": []}
{"role": "volunteer", "content": "yep!", "session_id": 19385, "sequence_id": 248, "annotations": []}
{"role": "volunteer", "content": "like the photo i posted", "session_id": 19385, "sequence_id": 249, "annotations": []}
{"role": "volunteer", "content": "like this?", "session_id": 19385, "sequence_id": 250, "annotations": []}
{"role": "student", "content": "no...", "session_id": 19385, "sequence_id": 251, "annotations": []}
{"role": "student", "content": "actually.. idk", "session_id": 19385, "sequence_id": 252, "annotations": []}
{"role": "student", "content": "I'm not sure..", "session_id": 19385, "sequence_id": 253, "annotations": []}
{"role": "student", "content": "Maybe", "session_id": 19385, "sequence_id": 254, "annotations": []}
{"role": "volunteer", "content": "can you give me an example?", "session_id": 19385, "sequence_id": 255, "annotations": []}
{"role": "volunteer", "content": "maybe a homework you did?", "session_id": 19385, "sequence_id": 256, "annotations": []}
{"role": "student", "content": "like; \"what is the simplified product/ or is this simplified; bx^1/ 56", "session_id": 19385, "sequence_id": 257, "annotations": []}
{"role": "volunteer", "content": "simplified product", "session_id": 19385, "sequence_id": 258, "annotations": []}
{"role": "volunteer", "content": "sounds like multiplying", "session_id": 19385, "sequence_id": 259, "annotations": []}
{"role": "volunteer", "content": "is that what you mean", "session_id": 19385, "sequence_id": 260, "annotations": []}
{"role": "student", "content": "no... not multiplying... simplifying", "session_id": 19385, "sequence_id": 261, "annotations": []}
{"role": "volunteer", "content": "I'm kind of confused", "session_id": 19385, "sequence_id": 262, "annotations": []}
{"role": "volunteer", "content": "could you write it on the board", "session_id": 19385, "sequence_id": 263, "annotations": []}
{"role": "student", "content": "uh... give me a minute i'm goign to look in my HW..", "session_id": 19385, "sequence_id": 264, "annotations": []}
{"role": "volunteer", "content": "alright", "session_id": 19385, "sequence_id": 265, "annotations": []}
{"role": "student", "content": "Like this: The length of a rectangle is represented by the function L(x) = 2x. The width of that same rectangle is represented by the function W(x) = 8x2 \u2212 4x + 1. Which of the following shows the area of the rectangle in terms of x?", "session_id": 19385, "sequence_id": 266, "annotations": []}
{"role": "student", "content": "And this: Choose the correct simplification of the expression 8 times b all over a to the power of negative 5.", "session_id": 19385, "sequence_id": 267, "annotations": []}
{"role": "volunteer", "content": "alright", "session_id": 19385, "sequence_id": 268, "annotations": []}
{"role": "volunteer", "content": "so which one do you want to start with", "session_id": 19385, "sequence_id": 269, "annotations": []}
{"role": "student", "content": "1st one....", "session_id": 19385, "sequence_id": 270, "annotations": []}
{"role": "student", "content": "If possible.", "session_id": 19385, "sequence_id": 271, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 19385, "sequence_id": 272, "annotations": []}
{"role": "volunteer", "content": "so how do you calculate the area of a rectangle", "session_id": 19385, "sequence_id": 273, "annotations": []}
{"role": "student", "content": "l x w x h", "session_id": 19385, "sequence_id": 274, "annotations": []}
{"role": "student", "content": "l * w * H", "session_id": 19385, "sequence_id": 275, "annotations": []}
{"role": "volunteer", "content": "that would be in 3d", "session_id": 19385, "sequence_id": 276, "annotations": []}
{"role": "student", "content": "oh 2x x 8x^2", "session_id": 19385, "sequence_id": 277, "annotations": []}
{"role": "student", "content": "2x x -4x", "session_id": 19385, "sequence_id": 278, "annotations": []}
{"role": "volunteer", "content": "yep!", "session_id": 19385, "sequence_id": 279, "annotations": []}
{"role": "student", "content": "and 2xx 1", "session_id": 19385, "sequence_id": 280, "annotations": []}
{"role": "volunteer", "content": "and you get?", "session_id": 19385, "sequence_id": 281, "annotations": []}
{"role": "student", "content": "16^2", "session_id": 19385, "sequence_id": 282, "annotations": []}
{"role": "student", "content": "i mean 16x^2", "session_id": 19385, "sequence_id": 283, "annotations": []}
{"role": "volunteer", "content": "one more x", "session_id": 19385, "sequence_id": 284, "annotations": []}
{"role": "student", "content": "-8x", "session_id": 19385, "sequence_id": 285, "annotations": []}
{"role": "student", "content": "oh yeah", "session_id": 19385, "sequence_id": 286, "annotations": []}
{"role": "volunteer", "content": "that would be 2 times 16x^2", "session_id": 19385, "sequence_id": 287, "annotations": []}
{"role": "student", "content": "16x^3", "session_id": 19385, "sequence_id": 288, "annotations": []}
{"role": "volunteer", "content": "yep!", "session_id": 19385, "sequence_id": 289, "annotations": []}
{"role": "student", "content": "oh... 16x^4", "session_id": 19385, "sequence_id": 290, "annotations": []}
{"role": "volunteer", "content": "no sorry", "session_id": 19385, "sequence_id": 291, "annotations": []}
{"role": "volunteer", "content": "you got it with the 16x^3", "session_id": 19385, "sequence_id": 292, "annotations": []}
{"role": "student", "content": "oh.", "session_id": 19385, "sequence_id": 293, "annotations": []}
{"role": "student", "content": "and then it wou,d be + 2x", "session_id": 19385, "sequence_id": 294, "annotations": []}
{"role": "volunteer", "content": "good catch", "session_id": 19385, "sequence_id": 295, "annotations": []}
{"role": "student", "content": "Okay.. is that correct?", "session_id": 19385, "sequence_id": 296, "annotations": []}
{"role": "volunteer", "content": "Yep!", "session_id": 19385, "sequence_id": 297, "annotations": []}
{"role": "volunteer", "content": "then the second one", "session_id": 19385, "sequence_id": 298, "annotations": []}
{"role": "student", "content": "okay..", "session_id": 19385, "sequence_id": 299, "annotations": []}
{"role": "student", "content": "?", "session_id": 19385, "sequence_id": 300, "annotations": []}
{"role": "volunteer", "content": "not quite", "session_id": 19385, "sequence_id": 301, "annotations": []}
{"role": "student", "content": "okay...", "session_id": 19385, "sequence_id": 302, "annotations": []}
{"role": "volunteer", "content": "so on top", "session_id": 19385, "sequence_id": 303, "annotations": []}
{"role": "volunteer", "content": "we could add 8b x 1", "session_id": 19385, "sequence_id": 304, "annotations": []}
{"role": "volunteer", "content": "right?", "session_id": 19385, "sequence_id": 305, "annotations": []}
{"role": "student", "content": "yes", "session_id": 19385, "sequence_id": 306, "annotations": []}
{"role": "volunteer", "content": "because 8b x 1 = 8b", "session_id": 19385, "sequence_id": 307, "annotations": []}
{"role": "volunteer", "content": "and a^0", "session_id": 19385, "sequence_id": 308, "annotations": []}
{"role": "volunteer", "content": "=1", "session_id": 19385, "sequence_id": 309, "annotations": []}
{"role": "volunteer", "content": "and then 0-(-5)", "session_id": 19385, "sequence_id": 310, "annotations": []}
{"role": "student", "content": "huh?", "session_id": 19385, "sequence_id": 311, "annotations": []}
{"role": "student", "content": "Wait... I'm c0onfused...", "session_id": 19385, "sequence_id": 312, "annotations": []}
{"role": "student", "content": "Confused(", "session_id": 19385, "sequence_id": 313, "annotations": []}
{"role": "volunteer", "content": "all good", "session_id": 19385, "sequence_id": 314, "annotations": []}
{"role": "volunteer", "content": "so we have a^-5 on the bottom", "session_id": 19385, "sequence_id": 315, "annotations": []}
{"role": "student", "content": "Mhm...", "session_id": 19385, "sequence_id": 316, "annotations": []}
{"role": "volunteer", "content": "and a^0 on bottom", "session_id": 19385, "sequence_id": 317, "annotations": []}
{"role": "volunteer", "content": "top", "session_id": 19385, "sequence_id": 318, "annotations": []}
{"role": "volunteer", "content": "not bottom sorry", "session_id": 19385, "sequence_id": 319, "annotations": []}
{"role": "student", "content": "it's allright.", "session_id": 19385, "sequence_id": 320, "annotations": []}
{"role": "volunteer", "content": "and to simplify we subtract the bottom from the top", "session_id": 19385, "sequence_id": 321, "annotations": []}
{"role": "volunteer", "content": "right?", "session_id": 19385, "sequence_id": 322, "annotations": []}
{"role": "student", "content": "oh.", "session_id": 19385, "sequence_id": 323, "annotations": []}
{"role": "student", "content": "so is would be", "session_id": 19385, "sequence_id": 324, "annotations": []}
{"role": "volunteer", "content": "so 0 - (-5)", "session_id": 19385, "sequence_id": 325, "annotations": []}
{"role": "volunteer", "content": "double negative though", "session_id": 19385, "sequence_id": 326, "annotations": []}
{"role": "volunteer", "content": "yeah exactly", "session_id": 19385, "sequence_id": 327, "annotations": []}
{"role": "volunteer", "content": ":D", "session_id": 19385, "sequence_id": 328, "annotations": []}
{"role": "student", "content": "8ba^5", "session_id": 19385, "sequence_id": 329, "annotations": []}
{"role": "student", "content": "okay.. I get it", "session_id": 19385, "sequence_id": 330, "annotations": []}
{"role": "volunteer", "content": "Yay!", "session_id": 19385, "sequence_id": 331, "annotations": []}
{"role": "student", "content": "Do you have another problem like this?", "session_id": 19385, "sequence_id": 332, "annotations": []}
{"role": "volunteer", "content": "I can write one", "session_id": 19385, "sequence_id": 333, "annotations": []}
{"role": "student", "content": "okay.", "session_id": 19385, "sequence_id": 334, "annotations": []}
{"role": "student", "content": "okay", "session_id": 19385, "sequence_id": 335, "annotations": []}
{"role": "volunteer", "content": "yep!", "session_id": 19385, "sequence_id": 336, "annotations": []}
{"role": "volunteer", "content": "nice!", "session_id": 19385, "sequence_id": 337, "annotations": []}
{"role": "student", "content": "correct?", "session_id": 19385, "sequence_id": 338, "annotations": []}
{"role": "volunteer", "content": "close", "session_id": 19385, "sequence_id": 339, "annotations": []}
{"role": "student", "content": "oh", "session_id": 19385, "sequence_id": 340, "annotations": []}
{"role": "volunteer", "content": "double negative though", "session_id": 19385, "sequence_id": 341, "annotations": []}
{"role": "volunteer", "content": "6 - ( -2)", "session_id": 19385, "sequence_id": 342, "annotations": []}
{"role": "student", "content": "Oh my bad", "session_id": 19385, "sequence_id": 343, "annotations": []}
{"role": "volunteer", "content": "all good", "session_id": 19385, "sequence_id": 344, "annotations": []}
{"role": "student", "content": "Thank you so much!", "session_id": 19385, "sequence_id": 345, "annotations": []}
{"role": "volunteer", "content": "wait sorry", "session_id": 19385, "sequence_id": 346, "annotations": []}
{"role": "volunteer", "content": "it's not -4", "session_id": 19385, "sequence_id": 347, "annotations": []}
{"role": "student", "content": "oh", "session_id": 19385, "sequence_id": 348, "annotations": []}
{"role": "volunteer", "content": "6 - (- 2)", "session_id": 19385, "sequence_id": 349, "annotations": []}
{"role": "student", "content": "Wait... was is positive 4", "session_id": 19385, "sequence_id": 350, "annotations": []}
{"role": "student", "content": "?", "session_id": 19385, "sequence_id": 351, "annotations": []}
{"role": "volunteer", "content": "nope", "session_id": 19385, "sequence_id": 352, "annotations": []}
{"role": "student", "content": "oh...", "session_id": 19385, "sequence_id": 353, "annotations": []}
{"role": "volunteer", "content": "the double negatives cancel", "session_id": 19385, "sequence_id": 354, "annotations": []}
{"role": "volunteer", "content": "to make positive 2", "session_id": 19385, "sequence_id": 355, "annotations": []}
{"role": "student", "content": "oh... oh yeah...", "session_id": 19385, "sequence_id": 356, "annotations": []}
{"role": "student", "content": "My bad...", "session_id": 19385, "sequence_id": 357, "annotations": []}
{"role": "volunteer", "content": "all good", "session_id": 19385, "sequence_id": 358, "annotations": []}
{"role": "volunteer", "content": "so what would it become", "session_id": 19385, "sequence_id": 359, "annotations": []}
{"role": "student", "content": "Okay.. Thank you.", "session_id": 19385, "sequence_id": 360, "annotations": []}
{"role": "volunteer", "content": "i meant the double negative of the 2", "session_id": 19385, "sequence_id": 361, "annotations": []}
{"role": "volunteer", "content": "6 - (-2)", "session_id": 19385, "sequence_id": 362, "annotations": []}
{"role": "volunteer", "content": "so 6 + 2", "session_id": 19385, "sequence_id": 363, "annotations": []}
{"role": "student", "content": "oh", "session_id": 19385, "sequence_id": 364, "annotations": []}
{"role": "student", "content": "8", "session_id": 19385, "sequence_id": 365, "annotations": []}
{"role": "volunteer", "content": "does that make sense?", "session_id": 19385, "sequence_id": 366, "annotations": []}
{"role": "student", "content": "Yes it does! Thank you!", "session_id": 19385, "sequence_id": 367, "annotations": []}
{"role": "volunteer", "content": "Great!", "session_id": 19385, "sequence_id": 368, "annotations": []}
{"role": "student", "content": "Thank you so much today...", "session_id": 19385, "sequence_id": 369, "annotations": []}
{"role": "volunteer", "content": "ofc!", "session_id": 19385, "sequence_id": 370, "annotations": []}
{"role": "student", "content": "I'm going to take my quiz... I feel pretty confident now, David.", "session_id": 19385, "sequence_id": 371, "annotations": [{"pii_type": "PERSON", "surrogate": "David", "start": 58, "end": 63}]}
{"role": "volunteer", "content": "Sorry i confused you at first", "session_id": 19385, "sequence_id": 372, "annotations": []}
{"role": "volunteer", "content": "Sounds good!", "session_id": 19385, "sequence_id": 373, "annotations": []}
{"role": "volunteer", "content": "Good luck!", "session_id": 19385, "sequence_id": 374, "annotations": []}
{"role": "student", "content": "Nope... It's okay.. It was bad on my part...", "session_id": 19385, "sequence_id": 375, "annotations": []}
{"role": "student", "content": "Thank you, have a wonderful Sunday!", "session_id": 19385, "sequence_id": 376, "annotations": []}
{"role": "volunteer", "content": "Hello!", "session_id": 18506, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "hey!", "session_id": 18506, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "What questions do you have?", "session_id": 18506, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "Anything about Radical Equations", "session_id": 18506, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "Do you have a specific example you'd like to go over?", "session_id": 18506, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "x=(x+12)^1/2", "session_id": 18506, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "Cool! Do you have any ideas how to get started, or are you stuck?", "session_id": 18506, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "I am stuck", "session_id": 18506, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "So step 1 is usually ISOLATE THE RADICAL", "session_id": 18506, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "basically get it alone on one side of the equation'", "session_id": 18506, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "But that's already done!", "session_id": 18506, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "Step 2 is to get rid of the radical!", "session_id": 18506, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "What operation undoes a square root?", "session_id": 18506, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "square", "session_id": 18506, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "Right!", "session_id": 18506, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "Let's square both sides so there's no more radical", "session_id": 18506, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "Does that make sense?", "session_id": 18506, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "yes", "session_id": 18506, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "Cool! How would you solve this quadratic equation?", "session_id": 18506, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "make it equal zero", "session_id": 18506, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "Right!", "session_id": 18506, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "this is where I get stuck", "session_id": 18506, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "Watch out with that +12 first!", "session_id": 18506, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "Are you adding or subtracting 12 from both sides of the equation?", "session_id": 18506, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "subtracting", "session_id": 18506, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "Right!", "session_id": 18506, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "So you end up with +12 or -12 on the left side at the end?", "session_id": 18506, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "minus 12", "session_id": 18506, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "Ok!", "session_id": 18506, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "Now you're stuck here?", "session_id": 18506, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "yes", "session_id": 18506, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "Do you remember factoring?", "session_id": 18506, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "yes", "session_id": 18506, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "Can you factor the LHS (left hand side)?", "session_id": 18506, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "yes", "session_id": 18506, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "Nice work! And checking is super important in general, but especially for radicals. It's easy to end up taking the root of a negative number if you don't check your solutions!", "session_id": 18506, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "Perfect!", "session_id": 18506, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "Any questions about the steps to solve that one?", "session_id": 18506, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "I think I understand it now", "session_id": 18506, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "Thank you", "session_id": 18506, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "No worries!", "session_id": 18506, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "Hello", "session_id": 18917, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "Hi How can I help you?", "session_id": 18917, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "I need help finding the x intercept of a certain equation", "session_id": 18917, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "Of course! Do you want to share the question to put it up on the whiteboard?", "session_id": 18917, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "Ok", "session_id": 18917, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "Great! Do you have an idea on how to go about this?", "session_id": 18917, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "Yes, change to point slope form", "session_id": 18917, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "On paper I got y=x+7", "session_id": 18917, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "So, that's really close but it's not exactly right. We know that point slope form is y=mx + b. So we have to isolate the y by subtracting the 2xs from both sides.", "session_id": 18917, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "What does that give us?", "session_id": 18917, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "I'm going to put the steps on the whiteboard as well so you can visualize it.", "session_id": 18917, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "7y=14-2x", "session_id": 18917, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "Exactly! Do you know what to do next?", "session_id": 18917, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "divide ll by 7", "session_id": 18917, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "you got it!", "session_id": 18917, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "so what does y equal to?", "session_id": 18917, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "y=2-2/7x", "session_id": 18917, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "perfect! So now you have it in point slope form. Do you remember what exactly the x-intercept means?", "session_id": 18917, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "where the \"first\" point meets the x axis", "session_id": 18917, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "Yup! The x-intercept is where the line crosses the x-axis. At that point, y = 0. So, if we know that, do you have an idea on how to solve for the x-intercept?", "session_id": 18917, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "I guess insert zero into the equation?", "session_id": 18917, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "yup! What would you substitute 0 for?", "session_id": 18917, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "y", "session_id": 18917, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "you got it!", "session_id": 18917, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "do you want to solve it or do you want to solve it together>", "session_id": 18917, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "I'll solve", "session_id": 18917, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "Great!", "session_id": 18917, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "correct?", "session_id": 18917, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "You're super close but I think something went wrong. Let's go over it.", "session_id": 18917, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "Do you see what I'm writing on the whiteboard?", "session_id": 18917, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "yes]", "session_id": 18917, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "Ho'd you get that?", "session_id": 18917, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "How'd you get that?", "session_id": 18917, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "Which part?", "session_id": 18917, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "That whole chunk", "session_id": 18917, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "Ok, so you divided -2/7 by both sides. Right?", "session_id": 18917, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "And when you divide a fraction you multiply it's recipricol which you also did.", "session_id": 18917, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "which in this case is -7/2.", "session_id": 18917, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "oh i thought we kept the sign, ok", "session_id": 18917, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "I meant omitted the sign", "session_id": 18917, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "So, then you do -2 times -7/2. You multiply the numerators (-2 x-7) which gives us a positive number since we're multiplying two negatives (14) and then we do the denominators. A whole number has a denominator of one (-2/1) so it would be  1x2 which is still 2. So, then you get 14/2 which simplifies to 7.", "session_id": 18917, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "That's alright! You keep the signs in this case.", "session_id": 18917, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "Does that make sense or would you like me to explain it a bit more?", "session_id": 18917, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "Oh I have to go now, sorry", "session_id": 18917, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "That's alright! I hoped this helped! Have a nice day.", "session_id": 18917, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "Hello!", "session_id": 18944, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "hello", "session_id": 18944, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "Can I get some help with subtracting polynomials", "session_id": 18944, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "it would be a good idea to write it as a subtraction, using parentheses for each expression", "session_id": 18944, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "ok", "session_id": 18944, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "do you know what I mean?", "session_id": 18944, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "I understand like (-4x^2+7x-8)-(10x^2+3x+9)", "session_id": 18944, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "Be careful. that is not what they are saying", "session_id": 18944, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "Oh ok, then Im not so sure", "session_id": 18944, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "I did already make an attempt", "session_id": 18944, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "what is being subtracted from what?", "session_id": 18944, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "is (10x^2+3x+9) being subtracted by (-4x^2+7x-8)", "session_id": 18944, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "I am not quite sure what you are saying. can you write the subtraction on the board.", "session_id": 18944, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "or in the text, if you can't write on  the board", "session_id": 18944, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "Its ok whiteboard is fine, can you read my writing", "session_id": 18944, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "Yes, but you changed some of the signs", "session_id": 18944, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "Hey I'm sorry I have to go but I'll ask my teacher about it", "session_id": 18944, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "hi", "session_id": 18911, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "hi", "session_id": 18911, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "can you help me with a problem please", "session_id": 18911, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "Of course, can you show or explain it to me?", "session_id": 18911, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "ok", "session_id": 18911, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "lemme try to screenshot it", "session_id": 18911, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "No problem, take your time.", "session_id": 18911, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "there.", "session_id": 18911, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "Ok, thank you. Let's start by thinking of the steps to solve this.", "session_id": 18911, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "In a situation like this, the first step is to make them like numbers. Can you do that for me?", "session_id": 18911, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "11/4", "session_id": 18911, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "oh like numbers?", "session_id": 18911, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "I don't know how to do that", "session_id": 18911, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "No you are correct", "session_id": 18911, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "oh", "session_id": 18911, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "Sorry, that was bad wording on my part", "session_id": 18911, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "Hi Alex!", "session_id": 18921, "sequence_id": 0, "annotations": [{"pii_type": "PERSON", "surrogate": "Alex", "start": 3, "end": 7}]}
{"role": "student", "content": "Hello!", "session_id": 18921, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "What would you like help with?", "session_id": 18921, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "I was wondering if you could make sure i'm doing this right so far", "session_id": 18921, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "Sure!", "session_id": 18921, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "Looks good so far! Keep going", "session_id": 18921, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "Mr. David!", "session_id": 18921, "sequence_id": 6, "annotations": [{"pii_type": "PERSON", "surrogate": "Mr. David", "start": 0, "end": 9}]}
{"role": "student", "content": "can you check my answers", "session_id": 18921, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "Yes", "session_id": 18921, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "Looks good! However, the frequencies are a bit off", "session_id": 18921, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "o", "session_id": 18921, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "how", "session_id": 18921, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "The 70.5-75.5 should be 11, while the one after it should be 4", "session_id": 18921, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "This is because of the boundaries, so one of the numbers doesn't belong", "session_id": 18921, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "Can u fix the colors then please", "session_id": 18921, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "icounted 12", "session_id": 18921, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "Sure!", "session_id": 18921, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "ty", "session_id": 18921, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "There you go!", "session_id": 18921, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "That makes it 11 and 4, there were just 2 numbers misplaced", "session_id": 18921, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "i dont see a change", "session_id": 18921, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "oh u recircled", "session_id": 18921, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "Yes", "session_id": 18921, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "i mean like can u fix the numbers too in color", "session_id": 18921, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "so i wont et confusd", "session_id": 18921, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "Ok!", "session_id": 18921, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "Is it more clear now?", "session_id": 18921, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "yes", "session_id": 18921, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "Ok!", "session_id": 18921, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "Are there any other questions you need help with?", "session_id": 18921, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "Let me paste the screenshot and lmk if this is right", "session_id": 18921, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "Ok!", "session_id": 18921, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "here", "session_id": 18921, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "Yes! Sorry, I think my drawing wasn't clear, the first 4 on the frequency should be 11!", "session_id": 18921, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "o", "session_id": 18921, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "thats the only thing that needed to be changed?", "session_id": 18921, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "Yes, everything else is good!", "session_id": 18921, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "I have another one to do", "session_id": 18921, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "Ok!", "session_id": 18921, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "Ok so with this one don't I add 1.5+13.5 then divide by 6", "session_id": 18921, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "Yes!", "session_id": 18921, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "kk", "session_id": 18921, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "Oh, sorry, you subtract not add", "session_id": 18921, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "so its 1.5+2?", "session_id": 18921, "sequence_id": 43, "annotations": []}
{"role": "student", "content": "and 6 columns?", "session_id": 18921, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "Yes!]", "session_id": 18921, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "kk", "session_id": 18921, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "can u check", "session_id": 18921, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "Frequencies look good", "session_id": 18921, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "am i doing midpoint right", "session_id": 18921, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "Yes", "session_id": 18921, "sequence_id": 50, "annotations": []}
{"role": "student", "content": "can u check my calculations", "session_id": 18921, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "Could you recheck the midpoint for 7.5-9.5?", "session_id": 18921, "sequence_id": 52, "annotations": []}
{"role": "student", "content": "8.5", "session_id": 18921, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "Correct!", "session_id": 18921, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "Everything looks good now", "session_id": 18921, "sequence_id": 55, "annotations": []}
{"role": "student", "content": "next one!", "session_id": 18921, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "ok!", "session_id": 18921, "sequence_id": 57, "annotations": []}
{"role": "student", "content": "no keep it", "session_id": 18921, "sequence_id": 58, "annotations": []}
{"role": "student", "content": "im gonna screenshot this to save", "session_id": 18921, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "oh ok!", "session_id": 18921, "sequence_id": 60, "annotations": []}
{"role": "student", "content": "Can you make the box rq just to save some time", "session_id": 18921, "sequence_id": 61, "annotations": []}
{"role": "student", "content": "with the columns", "session_id": 18921, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "sure", "session_id": 18921, "sequence_id": 63, "annotations": []}
{"role": "student", "content": "9 columns  i believe?", "session_id": 18921, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 18921, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "Do you want to finish it from there?", "session_id": 18921, "sequence_id": 66, "annotations": []}
{"role": "student", "content": "yes", "session_id": 18921, "sequence_id": 67, "annotations": []}
{"role": "student", "content": "no i thought", "session_id": 18921, "sequence_id": 68, "annotations": []}
{"role": "student", "content": "ther needs to be like 9 sectinos", "session_id": 18921, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "oh sorry. There are 5 columns (classes) here because you start at the initial class boundary 0.5. you keep adding the class width = 9 until you reach the maximum data value", "session_id": 18921, "sequence_id": 70, "annotations": []}
{"role": "student", "content": "oh ok", "session_id": 18921, "sequence_id": 71, "annotations": []}
{"role": "student", "content": "so 0.5+9", "session_id": 18921, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "Yes!", "session_id": 18921, "sequence_id": 73, "annotations": []}
{"role": "student", "content": "are these correct", "session_id": 18921, "sequence_id": 74, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 18921, "sequence_id": 75, "annotations": []}
{"role": "student", "content": "ok can u check my frequency", "session_id": 18921, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "Yes, it looks good!", "session_id": 18921, "sequence_id": 77, "annotations": []}
{"role": "student", "content": "then subtract 0.5-9.5/2", "session_id": 18921, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "Yes!", "session_id": 18921, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "recheck midpoints", "session_id": 18921, "sequence_id": 80, "annotations": []}
{"role": "student", "content": "i got 4.5 for a lot of them", "session_id": 18921, "sequence_id": 81, "annotations": []}
{"role": "volunteer", "content": "oh sorry, you should be adding", "session_id": 18921, "sequence_id": 82, "annotations": []}
{"role": "volunteer", "content": "so .5+9.5/2", "session_id": 18921, "sequence_id": 83, "annotations": []}
{"role": "student", "content": "o", "session_id": 18921, "sequence_id": 84, "annotations": []}
{"role": "student", "content": "can u chec my answers", "session_id": 18921, "sequence_id": 85, "annotations": []}
{"role": "volunteer", "content": "can you redo the last one?", "session_id": 18921, "sequence_id": 86, "annotations": []}
{"role": "student", "content": "done", "session_id": 18921, "sequence_id": 87, "annotations": []}
{"role": "volunteer", "content": "Yes! looks good", "session_id": 18921, "sequence_id": 88, "annotations": []}
{"role": "student", "content": "let me save this", "session_id": 18921, "sequence_id": 89, "annotations": []}
{"role": "volunteer", "content": "Sure!", "session_id": 18921, "sequence_id": 90, "annotations": []}
{"role": "student", "content": "i need help with this", "session_id": 18921, "sequence_id": 91, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 18921, "sequence_id": 92, "annotations": []}
{"role": "volunteer", "content": "So first lets take x as the original value of the house when it was purchased", "session_id": 18921, "sequence_id": 93, "annotations": []}
{"role": "volunteer", "content": "The house increased in value by 15%, so its current value 100% +15% = 155% of its original vlaue", "session_id": 18921, "sequence_id": 94, "annotations": []}
{"role": "student", "content": "can you put this on the whiteboard please", "session_id": 18921, "sequence_id": 95, "annotations": []}
{"role": "volunteer", "content": "sure!", "session_id": 18921, "sequence_id": 96, "annotations": []}
{"role": "student", "content": "brb", "session_id": 18921, "sequence_id": 97, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 18921, "sequence_id": 98, "annotations": []}
{"role": "volunteer", "content": "Let me know when you're back", "session_id": 18921, "sequence_id": 99, "annotations": []}
{"role": "student", "content": "back", "session_id": 18921, "sequence_id": 100, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 18921, "sequence_id": 101, "annotations": []}
{"role": "volunteer", "content": "so istarted it for you, can you try to make an equation based off of the information?", "session_id": 18921, "sequence_id": 102, "annotations": []}
{"role": "student", "content": "we divide", "session_id": 18921, "sequence_id": 103, "annotations": []}
{"role": "student", "content": "x?", "session_id": 18921, "sequence_id": 104, "annotations": []}
{"role": "student", "content": "*368000", "session_id": 18921, "sequence_id": 105, "annotations": []}
{"role": "volunteer", "content": "can you make it an equation using x?", "session_id": 18921, "sequence_id": 106, "annotations": []}
{"role": "student", "content": "ye we dont know the value when it was purchased and brb again sorry", "session_id": 18921, "sequence_id": 107, "annotations": []}
{"role": "volunteer", "content": "no problem!", "session_id": 18921, "sequence_id": 108, "annotations": []}
{"role": "volunteer", "content": "Tell me when your back! I'll have to go after this problem.", "session_id": 18921, "sequence_id": 109, "annotations": []}
{"role": "student", "content": "back", "session_id": 18921, "sequence_id": 110, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 18921, "sequence_id": 111, "annotations": []}
{"role": "volunteer", "content": "so you know x is the orignal value, so make an equation using all the info", "session_id": 18921, "sequence_id": 112, "annotations": []}
{"role": "student", "content": "would it be 1.15 times 368,000?", "session_id": 18921, "sequence_id": 113, "annotations": []}
{"role": "volunteer", "content": "not exactly, the 1.15 is a percentage that represents the current value", "session_id": 18921, "sequence_id": 114, "annotations": []}
{"role": "volunteer", "content": "try figuring out the relationship withx", "session_id": 18921, "sequence_id": 115, "annotations": []}
{"role": "student", "content": "no we divide", "session_id": 18921, "sequence_id": 116, "annotations": []}
{"role": "volunteer", "content": "and make an equation", "session_id": 18921, "sequence_id": 117, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 18921, "sequence_id": 118, "annotations": []}
{"role": "student", "content": "320,000", "session_id": 18921, "sequence_id": 119, "annotations": []}
{"role": "volunteer", "content": "so it woule be 1.15x=368000", "session_id": 18921, "sequence_id": 120, "annotations": []}
{"role": "student", "content": "oh", "session_id": 18921, "sequence_id": 121, "annotations": []}
{"role": "student", "content": "mhm", "session_id": 18921, "sequence_id": 122, "annotations": []}
{"role": "student", "content": "and that equals 320,000", "session_id": 18921, "sequence_id": 123, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 18921, "sequence_id": 124, "annotations": []}
{"role": "volunteer", "content": "ok, thats all the time I have right now. Your doing good!", "session_id": 18921, "sequence_id": 125, "annotations": []}
{"role": "volunteer", "content": "Bye!", "session_id": 18921, "sequence_id": 126, "annotations": []}
{"role": "student", "content": "ty", "session_id": 18921, "sequence_id": 127, "annotations": []}
{"role": "volunteer", "content": "hi", "session_id": 19061, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "hi", "session_id": 19061, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "what do you want to work on?", "session_id": 19061, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "my homework", "session_id": 19061, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "okay", "session_id": 19061, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "let's get started", "session_id": 19061, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "pk", "session_id": 19061, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "ok", "session_id": 19061, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "my question says what perimater  of the square is shown", "session_id": 19061, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "let me draw it", "session_id": 19061, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "so the question basically asked calculate the perimeter right?", "session_id": 19061, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "ya", "session_id": 19061, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "okay so since you know in a square that all four sides are 9", "session_id": 19061, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "then what do you think it means for the calculation of the perimeter? (I know what it is)", "session_id": 19061, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "18", "session_id": 19061, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "Not quite perimeter means you have to add up all the sides", "session_id": 19061, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "so it's 9+9+9+9", "session_id": 19061, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "back yet?", "session_id": 19061, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "hello", "session_id": 19061, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "hi", "session_id": 19061, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "I'm back uh connection error", "session_id": 19061, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "OH so back to work", "session_id": 19061, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "so the perimeter you have to add up all the sides", "session_id": 19061, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "which is 9+9+9+9", "session_id": 19061, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "so what do you get?", "session_id": 19061, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "33", "session_id": 19061, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "it's 36", "session_id": 19061, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "show me your process", "session_id": 19061, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "I need help solving this, but as of now I will be right back for a few mins!", "session_id": 19018, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "i'm back", "session_id": 19018, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "i need help with c", "session_id": 19018, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 19018, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "this is just asking what the change in the y is for moving over one space on the x axis", "session_id": 19018, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "you can simply count it on the graph", "session_id": 19018, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "$2?", "session_id": 19018, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "not quite", "session_id": 19018, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "Uhh idk then", "session_id": 19018, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "how do you find that like can you use he pencil to draw where u look at", "session_id": 19018, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "it is actaully best to use the formula since they gave it to you", "session_id": 19018, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "yeah i looked at years which is the x axis", "session_id": 19018, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "and went to one year on it", "session_id": 19018, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "is it 10 dollars?", "session_id": 19018, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "per hour?", "session_id": 19018, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "find y for a year and then find y for the following year and find the difference", "session_id": 19018, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "ohhhh", "session_id": 19018, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "nvm i see what u did", "session_id": 19018, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "its 0.92", "session_id": 19018, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "yes exactly", "session_id": 19018, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "let me screenshot this to save", "session_id": 19018, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "let me finish writing it", "session_id": 19018, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "so you have the full process", "session_id": 19018, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "are my answers correct so far", "session_id": 19018, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "a is correct", "session_id": 19018, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "c is correct", "session_id": 19018, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "what about B?", "session_id": 19018, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "yes that is correct", "session_id": 19018, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "Mark", "session_id": 19018, "sequence_id": 28, "annotations": [{"pii_type": "PERSON", "surrogate": "Mark", "start": 0, "end": 4}]}
{"role": "student", "content": "can you check my answers", "session_id": 19018, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "nvm ik that its right but I do need help with this, this is new to me as well but its kinda like the same concept with the graph", "session_id": 19018, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "Hi Alice", "session_id": 19032, "sequence_id": 0, "annotations": [{"pii_type": "PERSON", "surrogate": "Alice", "start": 3, "end": 8}]}
{"role": "student", "content": "can you help me", "session_id": 19032, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "I'm reading...", "session_id": 19032, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "Can you give me 4 minutes to solve, and then I'll explain?", "session_id": 19032, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "Alice", "session_id": 19032, "sequence_id": 4, "annotations": [{"pii_type": "PERSON", "surrogate": "Alice", "start": 0, "end": 5}]}
{"role": "volunteer", "content": "Did you learn what \"cot\" represents?", "session_id": 19032, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "sin/cos", "session_id": 19032, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "That would be \"tan\". \"Cot\" is cos/sin.", "session_id": 19032, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "I'll write that on the board.", "session_id": 19032, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "ohhh", "session_id": 19032, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "ok", "session_id": 19032, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "This is not an indeterminate form (0/0). So the solution is not difficult. What is cos(\u03c0) = ?", "session_id": 19032, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "0?", "session_id": 19032, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "Are you sure? Can you check with your calculator? Make sure to set your calculator mode to \"radians\".", "session_id": 19032, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "1", "session_id": 19032, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "im not sure", "session_id": 19032, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "If you don't have a calculator with you, you can use this online calculator: www.mathcalculator.com", "session_id": 19032, "sequence_id": 16, "annotations": [{"pii_type": "URL", "surrogate": "www.mathcalculator.com", "start": 77, "end": 99}]}
{"role": "volunteer", "content": "Type cos(pi) and click on the \"RAD\" button.", "session_id": 19032, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "-1", "session_id": 19032, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "Awesome. That's correct.", "session_id": 19032, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "What about sin(\u03c0) = ?", "session_id": 19032, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "0", "session_id": 19032, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "Right. So we can simplify the limit a bit.", "session_id": 19032, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "ok", "session_id": 19032, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "(x - \u03c0)) \u2192 0 as x \u2192 \u03c0.", "session_id": 19032, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "The denominator goes to zero, so the limit is -\u221e.", "session_id": 19032, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "I don't know if your software will let you enter -\u221e. Some teacher would write this as DNE. It depends on your teacher.", "session_id": 19032, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "OKKK", "session_id": 19032, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "will you help me with this one", "session_id": 19032, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "OK. The first step is to factor the numerator. It's a difference of two squares, like a^2 - b^2. Can you factor x^2 - 9 ?", "session_id": 19032, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "(x-3)(x+3)", "session_id": 19032, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "Correct.", "session_id": 19032, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "Now let's look at the denominator. For what value of x is x+3 = 0 ?", "session_id": 19032, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "um", "session_id": 19032, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "-3", "session_id": 19032, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "Yes. If x = -3, then the denominator is zero. But because we're not allowed to divide by zero, f(x) is undefined, and \"discontinuous\" at x= -3.", "session_id": 19032, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "That's why you see the open (white) circle at x = -3 on the graph.", "session_id": 19032, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "This is called a \"hole\" or \"removable discontinuity\".", "session_id": 19032, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "yes", "session_id": 19032, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "That's all the time I have. Any quick question before I go?", "session_id": 19032, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "Looks like you're away. I'll end the session to help others. You can always make another request.", "session_id": 19032, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "Hello Marcus, How are you doing today?", "session_id": 19063, "sequence_id": 0, "annotations": [{"pii_type": "PERSON", "surrogate": "Marcus", "start": 6, "end": 12}]}
{"role": "student", "content": "hi i'm doing good", "session_id": 19063, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "do you know about domains in algebra?", "session_id": 19063, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "Yes", "session_id": 19063, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "ok :>", "session_id": 19063, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "do you know how to do these kind of problems??", "session_id": 19063, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "How can I help?", "session_id": 19063, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "Yes, I can help you understand the problem", "session_id": 19063, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "ok so I dont rlly understand how domains work at all", "session_id": 19063, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "this is my first time learning about them", "session_id": 19063, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 19063, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "Identify the value of x,y in the graph", "session_id": 19063, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "are you a teacher or a student?", "session_id": 19063, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "and i dont reall know how to do that...", "session_id": 19063, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "for example when x is -4 and 4 then y = 0", "session_id": 19063, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "so the value of x -s beyond choice A", "session_id": 19063, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "choice A says that in the graph x is within -3 and 3 but that is not true it goes beyond that in the equation", "session_id": 19063, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "does that make sense", "session_id": 19063, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "hi", "session_id": 19050, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "Hi how are you doing today?", "session_id": 19050, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "good", "session_id": 19050, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "ok i need some help on this geometry problem it shouldnt take very long", "session_id": 19050, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "okay", "session_id": 19050, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "Ok so i had to screen share, but i need help on question 12", "session_id": 19050, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "this is simple", "session_id": 19050, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "please let me know if you can see the screen", "session_id": 19050, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "for me ill walk you through it im going to write on paper", "session_id": 19050, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "then screenshot and share it", "session_id": 19050, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "ok sounds good", "session_id": 19050, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "the question is gone", "session_id": 19050, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "I don't see it", "session_id": 19050, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "back?", "session_id": 19050, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "leaving in 5 minutes if your aren't there", "session_id": 19050, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "okay your not there so bye", "session_id": 19050, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "hey Taylor", "session_id": 19138, "sequence_id": 0, "annotations": [{"pii_type": "PERSON", "surrogate": "Taylor", "start": 4, "end": 10}]}
{"role": "volunteer", "content": "Hello!", "session_id": 19138, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "I hope you want leave the session like the last person did I don't know why they left they just left didn't say why or nothing which I though was really rude but I'm not tripping fr", "session_id": 19138, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "ok sure, it may have been a conection issue, but i wont leave you", "session_id": 19138, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "ok so I want to go over 5", "session_id": 19138, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "because I'm not sure did I get it right", "session_id": 19138, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "and we cant go on to 7,8,9,10,11,12,", "session_id": 19138, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "can", "session_id": 19138, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "ok cool", "session_id": 19138, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "so it looks like the question asks for (2n+2)(6n-1) is that right", "session_id": 19138, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "it +1", "session_id": 19138, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "(2n+2)(6n+1) thanks", "session_id": 19138, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "imma show what all I did", "session_id": 19138, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "great!", "session_id": 19138, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "can you read this", "session_id": 19138, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "yes, you have good handwriting by the way,", "session_id": 19138, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "and this looks wonderful and the math is done correctly", "session_id": 19138, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "one final step is to. combine like terms at the end", "session_id": 19138, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "so the 2n and the 12n combine to make 14n", "session_id": 19138, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "but with that change it looks great!", "session_id": 19138, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "thank you", "session_id": 19138, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "and your 6 looks correct too except for not combining like terms as a last step!", "session_id": 19138, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "wym 6", "session_id": 19138, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "talk about 2 times 6?", "session_id": 19138, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "on the paper", "session_id": 19138, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "the next problem", "session_id": 19138, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "i read it earlier", "session_id": 19138, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "so I didn't combine like terms on number 6", "session_id": 19138, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "yeah", "session_id": 19138, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "the two middle terms", "session_id": 19138, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "that both have an \"n\" or whatever the variable was", "session_id": 19138, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "so it would be 24 and 2 ?", "session_id": 19138, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "right", "session_id": 19138, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "yeah, it makes 26", "session_id": 19138, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "ok so next ones", "session_id": 19138, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "is imma write it down", "session_id": 19138, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "ok cool!", "session_id": 19138, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "see it", "session_id": 19138, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "ok done", "session_id": 19138, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "soo x we dont know right?", "session_id": 19138, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "usually we put 1?", "session_id": 19138, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "that correcty", "session_id": 19138, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "ok so", "session_id": 19138, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "the hidden \"1\" is before the x", "session_id": 19138, "sequence_id": 43, "annotations": []}
{"role": "student", "content": "we use the foil", "session_id": 19138, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "yep", "session_id": 19138, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "so f for first", "session_id": 19138, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "o for outer", "session_id": 19138, "sequence_id": 47, "annotations": []}
{"role": "student", "content": "I for inner", "session_id": 19138, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "l is for last?", "session_id": 19138, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "correct", "session_id": 19138, "sequence_id": 50, "annotations": []}
{"role": "student", "content": "ok so I when it comes to this part I be getting confused", "session_id": 19138, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "is this right?", "session_id": 19138, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 19138, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "x times 6x", "session_id": 19138, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "so 6x^2", "session_id": 19138, "sequence_id": 55, "annotations": []}
{"role": "student", "content": "ok I'm not sure what's o", "session_id": 19138, "sequence_id": 56, "annotations": []}
{"role": "student", "content": "that's 12", "session_id": 19138, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "Jordan", "session_id": 19138, "sequence_id": 58, "annotations": [{"pii_type": "PERSON", "surrogate": "Jordan", "start": 0, "end": 6}]}
{"role": "student", "content": "I'm confused so I is x and 2?", "session_id": 19138, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "no 12", "session_id": 19138, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "x times 6x", "session_id": 19138, "sequence_id": 61, "annotations": []}
{"role": "student", "content": "I ment o", "session_id": 19138, "sequence_id": 62, "annotations": []}
{"role": "student", "content": "okk", "session_id": 19138, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "is 6 x squared", "session_id": 19138, "sequence_id": 64, "annotations": []}
{"role": "student", "content": "so 6x and 2?", "session_id": 19138, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "no", "session_id": 19138, "sequence_id": 66, "annotations": []}
{"role": "student", "content": "the oter", "session_id": 19138, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "the o is going to be the outer", "session_id": 19138, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "so the x and the 2", "session_id": 19138, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "which makes 2x", "session_id": 19138, "sequence_id": 70, "annotations": []}
{"role": "student", "content": "like this?", "session_id": 19138, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "-2x", "session_id": 19138, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 19138, "sequence_id": 73, "annotations": []}
{"role": "student", "content": "ok and for I is inner", "session_id": 19138, "sequence_id": 74, "annotations": []}
{"role": "student", "content": "so 3 and 6?", "session_id": 19138, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "-3 and 6x", "session_id": 19138, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "to be more precise", "session_id": 19138, "sequence_id": 77, "annotations": []}
{"role": "student", "content": "and dor last", "session_id": 19138, "sequence_id": 78, "annotations": []}
{"role": "student", "content": "is -3 and 2?", "session_id": 19138, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "-3 and -2", "session_id": 19138, "sequence_id": 80, "annotations": []}
{"role": "volunteer", "content": "which makes positive 6", "session_id": 19138, "sequence_id": 81, "annotations": []}
{"role": "student", "content": "ok", "session_id": 19138, "sequence_id": 82, "annotations": []}
{"role": "student", "content": "soooo it will be I'm finna write it down", "session_id": 19138, "sequence_id": 83, "annotations": []}
{"role": "volunteer", "content": "ok good!", "session_id": 19138, "sequence_id": 84, "annotations": []}
{"role": "volunteer", "content": "i like the color organization", "session_id": 19138, "sequence_id": 85, "annotations": []}
{"role": "student", "content": "thank you I do that so I don't get confused", "session_id": 19138, "sequence_id": 86, "annotations": []}
{"role": "student", "content": "wait ionk", "session_id": 19138, "sequence_id": 87, "annotations": []}
{"role": "student", "content": "where to start", "session_id": 19138, "sequence_id": 88, "annotations": []}
{"role": "volunteer", "content": "x and 6x", "session_id": 19138, "sequence_id": 89, "annotations": []}
{"role": "volunteer", "content": "to make 6x squared", "session_id": 19138, "sequence_id": 90, "annotations": []}
{"role": "student", "content": "I'm not sure how to write that", "session_id": 19138, "sequence_id": 91, "annotations": []}
{"role": "volunteer", "content": "so that 6xsquared - 2x - 18x +6", "session_id": 19138, "sequence_id": 92, "annotations": []}
{"role": "student", "content": "hello!", "session_id": 19202, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "Idk how to solve this", "session_id": 19202, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "So what is a good measure of central tendency?", "session_id": 19202, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "uhh idk lol", "session_id": 19202, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "Mean, median, mode?", "session_id": 19202, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "For this data, how long would you expect a normal call to take?", "session_id": 19202, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "5-10", "session_id": 19202, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "ok so the outliners are 12 and 99", "session_id": 19202, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "Yes.  For sure. You got it.", "session_id": 19202, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "is that all im finding? basicaly the outside numbers", "session_id": 19202, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "You can do the math, but you have the intuition and that\u2019s more important.", "session_id": 19202, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "Its numbers way outside the other ones.", "session_id": 19202, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "So thats all it means?", "session_id": 19202, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "Yep", "session_id": 19202, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "kk", "session_id": 19202, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "You got it!", "session_id": 19202, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "give me 1 sec", "session_id": 19202, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "gonna paste another problem", "session_id": 19202, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "Ok", "session_id": 19202, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "would the outliners be 9 and 10??", "session_id": 19202, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "What do you think?  They are much closer.", "session_id": 19202, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "uhh idk i used my intuition last time lol", "session_id": 19202, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "Like if I give you a set of numbers 1, 9, 10, 11, 200 there is definitely an outlier.", "session_id": 19202, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "1 is an outlier", "session_id": 19202, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "Yeah, maybe 1 isn\u2019t even an outlier. 200 definitely is.", "session_id": 19202, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "actually ima work on this tmrw im gonna gts", "session_id": 19202, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "It\u2019s not just the lowest and highest number, it\u2019s how far away they are from the rest of the set.", "session_id": 19202, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "Hello! How are you?", "session_id": 19229, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "Good I\u2019m helping my daughter with her homework we think the answer is thousandths", "session_id": 19229, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "For which question?", "session_id": 19229, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "8 and 9", "session_id": 19229, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "And hundreds for 10", "session_id": 19229, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "For 8 the number is three thousand, two hundred and fourteen point five hundred eighty seven, with the number on the 4. For 8, that would be the ones place, because the number is 3,214. The 4 there would be the ones digit.", "session_id": 19229, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "Oh", "session_id": 19229, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "I guess I\u2019m confused", "session_id": 19229, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "Ok and 9?", "session_id": 19229, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "Thousandths", "session_id": 19229, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "So when it's saying what's the value of this number, the easiest way to look at it is to take the number out of the context of the problem. So for 9, which 260,623. If you remove all of the other numbers and replace them with zeros, you're left 200,000. This means that the 2 is the hundred thousands place", "session_id": 19229, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "Mark, can you hear me?", "session_id": 19229, "sequence_id": 11, "annotations": [{"pii_type": "PERSON", "surrogate": "Mark", "start": 0, "end": 4}]}
{"role": "student", "content": "Um, so I'm explaining it to her to replace them with zeros.", "session_id": 19229, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "So what he's saying, Sarah,", "session_id": 19229, "sequence_id": 13, "annotations": [{"pii_type": "PERSON", "surrogate": "Sarah", "start": 21, "end": 26}]}
{"role": "student", "content": "sorry, I'm explaining this to her", "session_id": 19229, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "See, he's saying on this one", "session_id": 19229, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "In 8, its 3,214. If you replace everything else in the number with zeros, you're left with 0,004.587. In 4.587, 4 is the ones digit, the 5 is the tenths, 8 is the hundredths etc", "session_id": 19229, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "on 200,000, right? If you replace all these with zeros, like, right, that would put the two in 200,000s because it's 200,000s.", "session_id": 19229, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "and 8", "session_id": 19229, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "if you replace", "session_id": 19229, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "So on number 10, if you do the zeros, it would be", "session_id": 19229, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "100", "session_id": 19229, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "because", "session_id": 19229, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "I cant see number 10", "session_id": 19229, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "Ok hold on let me", "session_id": 19229, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "1654.789", "session_id": 19229, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "6 underlined", "session_id": 19229, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "the 6 is highlighted right? yeah 6 is hundreds place", "session_id": 19229, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "OK, can you re-explain number 8 again.", "session_id": 19229, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "Another easy way is to say the number out verbally like \"one thousand, six hundred\", there you're saying its place. Another way to explain number 8 is that 4 is the first number to the left of the decimal, which means that it is in the ones place.", "session_id": 19229, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "Does she know what it means to be in the ones place versus the hundredths, thousandths etc?", "session_id": 19229, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "The easiest way to remember it is to read the number out \"three thousand, two hundred and fourteen\". This is 3,000+200+10+4. 4 is in the ones place because its greater than 1 and less than 9.", "session_id": 19229, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "hello", "session_id": 19260, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "hi", "session_id": 19260, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "where are we starting?", "session_id": 19260, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "do you have a problem that you are working on?", "session_id": 19260, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "not really i'd like to get prep forsat", "session_id": 19260, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "idk where to start the prep", "session_id": 19260, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "oh, you picked algebra 1", "session_id": 19260, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "oh mb", "session_id": 19260, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "sorry have a great day!", "session_id": 19260, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "you too", "session_id": 19260, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "Hello!", "session_id": 19273, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "How are you?", "session_id": 19273, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "Good.", "session_id": 19273, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "How can I help?", "session_id": 19273, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 19273, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "so", "session_id": 19273, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "can we do some practice", "session_id": 19273, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "like stats practice", "session_id": 19273, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "Ofcourse!", "session_id": 19273, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "I will put in chat", "session_id": 19273, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "nd my work on board", "session_id": 19273, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "Sounds good!", "session_id": 19273, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "In a right-skewed distribution, which relationship is typically true?\nA. Mean < Median < Mode\nB. Mode < Median < Mean\nC. Mean = Median = Mode\nD. Median < Mode < Mean", "session_id": 19273, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "sorry ignore this one", "session_id": 19273, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "e actually done thuis one", "session_id": 19273, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "In a two-tailed test with \u03b1 = 0.05, what is the critical z-value?\nA) \u00b11.64\nB) \u00b11.96\nC) \u00b12.33\nD) \u00b12.58", "session_id": 19273, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "Okay.", "session_id": 19273, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "For a two-tailed test at \u03b1 = 0.05, we split the alpha level (0.025 in each tail)", "session_id": 19273, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "Does that make sense?", "session_id": 19273, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "Ok ok!!", "session_id": 19273, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "If the correlation coefficient r = -0.85, this indicates:\nA) Strong positive correlation\nB) Weak negative correlation\nC) Strong negative correlation\nD) No correlation", "session_id": 19273, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "|r| = 0.85 > 0.7 indicates strong correlation. The negative sign indicates negative correlation.", "session_id": 19273, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "Any questions?", "session_id": 19273, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "I got C", "session_id": 19273, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "Correct!!!", "session_id": 19273, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "thxx", "session_id": 19273, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "Hello", "session_id": 19421, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "hi! I was wondering if you could help me with my Lincoln High algebra assignment?", "session_id": 19421, "sequence_id": 1, "annotations": [{"pii_type": "SCHOOL", "surrogate": "Lincoln High", "start": 49, "end": 61}]}
{"role": "volunteer", "content": "what is Lincoln High?", "session_id": 19421, "sequence_id": 2, "annotations": [{"pii_type": "SCHOOL", "surrogate": "Lincoln High", "start": 8, "end": 20}]}
{"role": "student", "content": "Lincoln High", "session_id": 19421, "sequence_id": 3, "annotations": [{"pii_type": "SCHOOL", "surrogate": "Lincoln High", "start": 0, "end": 12}]}
{"role": "volunteer", "content": "ok.", "session_id": 19421, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "should I paste my question on the board?", "session_id": 19421, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "sure", "session_id": 19421, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "I'm just supposed to state whether its a function or not and why", "session_id": 19421, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "what do you think about it?", "session_id": 19421, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "I don't know", "session_id": 19421, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "a function means that for each x there is one and only one value of y", "session_id": 19421, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "so, do you think that for each moment in time, there would be one value for the mass?  Could there be two different values for the mass at the same moment in time?", "session_id": 19421, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "there's only one?", "session_id": 19421, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "I would think so.", "session_id": 19421, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "ok thank you", "session_id": 19421, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "you are welcome", "session_id": 19421, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "bye!", "session_id": 19421, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "is that it?", "session_id": 19421, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "ok.", "session_id": 19421, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "Have a good weekend.", "session_id": 19421, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "you too!", "session_id": 19421, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "hello", "session_id": 19290, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "hi!", "session_id": 19290, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "how can I help yo utoday?", "session_id": 19290, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "i need help with finding the rules of these tables", "session_id": 19290, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "ok!", "session_id": 19290, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "let me take a look", "session_id": 19290, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "so lets start with table 1", "session_id": 19290, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "do you see a pattern in the x column?", "session_id": 19290, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "it goes up by two", "session_id": 19290, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "exactly", "session_id": 19290, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "and then when you look at the y column compared to the x column do you see a pattern", "session_id": 19290, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "it is multiplyed by 4", "session_id": 19290, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "exactly", "session_id": 19290, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "so thats your answer", "session_id": 19290, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "can yuou turn that knowledge into an equation for table 1", "session_id": 19290, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "284?", "session_id": 19290, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "x", "session_id": 19290, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "kind of", "session_id": 19290, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "that was a good guess", "session_id": 19290, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "so we know that y needs to equal 1 for this equation", "session_id": 19290, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "so can you think of how we would do that?", "session_id": 19290, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "like for example if we have the x value you know to multiply by 4 to get the y value", "session_id": 19290, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "............", "session_id": 19290, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "its ok let me explain it in a differt way", "session_id": 19290, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "basically using the equation you need to be able to find y right? so here you have y=..... so if we plug something in it would be y=__x", "session_id": 19290, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "4", "session_id": 19290, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "so if you have 8=__ * 2 you know what that blank value shold be", "session_id": 19290, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "exactly!", "session_id": 19290, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "4x", "session_id": 19290, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "perfect", "session_id": 19290, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "so thats your answer for number 1", "session_id": 19290, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "does that make sense?", "session_id": 19290, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "yes", "session_id": 19290, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "perfect", "session_id": 19290, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "what about 2 though?", "session_id": 19290, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "ok so when we look at two this one is a ltitle trickier", "session_id": 19290, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "but its kind of just trial and error", "session_id": 19290, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "for example, what if you tried adding or subtracting one before you look for a pattern", "session_id": 19290, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "9-3=6", "session_id": 19290, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "so we're looking more for the pattern between the input and output", "session_id": 19290, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "so when i say add or subtract one it's more of pointing to the y column", "session_id": 19290, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "so if you either added one to every number on the y column or subtracted on from every number on the y column could you find a pattern", "session_id": 19290, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "6x?", "session_id": 19290, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "not quite", "session_id": 19290, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "but good guess", "session_id": 19290, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "ill show you what i mean on the board", "session_id": 19290, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "do you see how im subtracting one from the numbers in the y column", "session_id": 19290, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "yes", "session_id": 19290, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "can you do that for the other numbers in table 2", "session_id": 19290, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "8,11,14", "session_id": 19290, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "do you have what number each fruit is already", "session_id": 19290, "sequence_id": 50, "annotations": []}
{"role": "student", "content": "no", "session_id": 19290, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "ohhh i see", "session_id": 19290, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "well you know watermelon now right", "session_id": 19290, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "because you can guess watermelon based on table 1", "session_id": 19290, "sequence_id": 54, "annotations": []}
{"role": "student", "content": "is pineapple 7?", "session_id": 19290, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "lets see", "session_id": 19290, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "in table 1", "session_id": 19290, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "you count up by 2 every time you move down the x column ri", "session_id": 19290, "sequence_id": 58, "annotations": []}
{"role": "student", "content": "yes", "session_id": 19290, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "so 2+2 = 4", "session_id": 19290, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "8+2=10", "session_id": 19290, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "so how would you find watermelon", "session_id": 19290, "sequence_id": 62, "annotations": []}
{"role": "student", "content": "add 2 to 4", "session_id": 19290, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "exactly", "session_id": 19290, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "so whats watermelon?", "session_id": 19290, "sequence_id": 65, "annotations": []}
{"role": "student", "content": "6", "session_id": 19290, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "perfect!", "session_id": 19290, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "so now if we look at table 2", "session_id": 19290, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "we have two complete rows", "session_id": 19290, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "and after subtracting 1 from each number, do you see a pattern between them?", "session_id": 19290, "sequence_id": 70, "annotations": []}
{"role": "student", "content": "yes", "session_id": 19290, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "whats the pattern?", "session_id": 19290, "sequence_id": 72, "annotations": []}
{"role": "student", "content": "it is add 7 minus 1", "session_id": 19290, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "it is for the row with 6 and 12 but not for the one with 9 and 19", "session_id": 19290, "sequence_id": 74, "annotations": []}
{"role": "volunteer", "content": "bevause 9+7-1 = 15", "session_id": 19290, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "not 18", "session_id": 19290, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "think about multiplication", "session_id": 19290, "sequence_id": 77, "annotations": []}
{"role": "student", "content": "multiply .....................", "session_id": 19290, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "yeah", "session_id": 19290, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "lets do this one together", "session_id": 19290, "sequence_id": 80, "annotations": []}
{"role": "volunteer", "content": "so when i look at this", "session_id": 19290, "sequence_id": 81, "annotations": []}
{"role": "volunteer", "content": "what is 6x2?", "session_id": 19290, "sequence_id": 82, "annotations": []}
{"role": "volunteer", "content": "and 9x2?", "session_id": 19290, "sequence_id": 83, "annotations": []}
{"role": "student", "content": "12", "session_id": 19290, "sequence_id": 84, "annotations": []}
{"role": "volunteer", "content": "yep!", "session_id": 19290, "sequence_id": 85, "annotations": []}
{"role": "student", "content": "18", "session_id": 19290, "sequence_id": 86, "annotations": []}
{"role": "volunteer", "content": "exactly!", "session_id": 19290, "sequence_id": 87, "annotations": []}
{"role": "volunteer", "content": "do those numbers look familiar", "session_id": 19290, "sequence_id": 88, "annotations": []}
{"role": "student", "content": "multiply 2,add 1", "session_id": 19290, "sequence_id": 89, "annotations": []}
{"role": "volunteer", "content": "exactly!", "session_id": 19290, "sequence_id": 90, "annotations": []}
{"role": "volunteer", "content": "good job!", "session_id": 19290, "sequence_id": 91, "annotations": []}
{"role": "volunteer", "content": "can you put that in an equation", "session_id": 19290, "sequence_id": 92, "annotations": []}
{"role": "student", "content": "so 2x+1?", "session_id": 19290, "sequence_id": 93, "annotations": []}
{"role": "volunteer", "content": "perfect", "session_id": 19290, "sequence_id": 94, "annotations": []}
{"role": "volunteer", "content": "and then can you find pineapple, lemon, and pear now?", "session_id": 19290, "sequence_id": 95, "annotations": []}
{"role": "student", "content": "yes", "session_id": 19290, "sequence_id": 96, "annotations": []}
{"role": "volunteer", "content": "yay and then can you write it on the whiteboard", "session_id": 19290, "sequence_id": 97, "annotations": []}
{"role": "volunteer", "content": "or you can just tell me here", "session_id": 19290, "sequence_id": 98, "annotations": []}
{"role": "student", "content": "7,25,31", "session_id": 19290, "sequence_id": 99, "annotations": []}
{"role": "volunteer", "content": "great job!", "session_id": 19290, "sequence_id": 100, "annotations": []}
{"role": "volunteer", "content": "ok lets move on to table 3", "session_id": 19290, "sequence_id": 101, "annotations": []}
{"role": "volunteer", "content": "so first step to looking at any of these problems is to look fro the complete rows", "session_id": 19290, "sequence_id": 102, "annotations": []}
{"role": "volunteer", "content": "so which two rows are complete?", "session_id": 19290, "sequence_id": 103, "annotations": []}
{"role": "student", "content": "the one with watermelon and other fruit", "session_id": 19290, "sequence_id": 104, "annotations": []}
{"role": "volunteer", "content": "close", "session_id": 19290, "sequence_id": 105, "annotations": []}
{"role": "volunteer", "content": "do you see a number on both sides of watermelon", "session_id": 19290, "sequence_id": 106, "annotations": []}
{"role": "volunteer", "content": "if a row is complete then it needs to have a number for x and a number for y", "session_id": 19290, "sequence_id": 107, "annotations": []}
{"role": "student", "content": "i think it is two complete rows", "session_id": 19290, "sequence_id": 108, "annotations": []}
{"role": "volunteer", "content": "yes but which rows are Ava", "session_id": 19290, "sequence_id": 109, "annotations": [{"pii_type": "PERSON", "surrogate": "Ava", "start": 23, "end": 26}]}
{"role": "volunteer", "content": "ill give you one", "session_id": 19290, "sequence_id": 110, "annotations": []}
{"role": "volunteer", "content": "the first row is complete because theres an x and y value", "session_id": 19290, "sequence_id": 111, "annotations": []}
{"role": "volunteer", "content": "x is 5 and y is 25", "session_id": 19290, "sequence_id": 112, "annotations": []}
{"role": "volunteer", "content": "now you try", "session_id": 19290, "sequence_id": 113, "annotations": []}
{"role": "student", "content": "7 and 49", "session_id": 19290, "sequence_id": 114, "annotations": []}
{"role": "volunteer", "content": "exactly", "session_id": 19290, "sequence_id": 115, "annotations": []}
{"role": "volunteer", "content": "so with 5 and 25", "session_id": 19290, "sequence_id": 116, "annotations": []}
{"role": "volunteer", "content": "an 7 and 49", "session_id": 19290, "sequence_id": 117, "annotations": []}
{"role": "volunteer", "content": "do you see a pattern", "session_id": 19290, "sequence_id": 118, "annotations": []}
{"role": "student", "content": "multiply by itselfs", "session_id": 19290, "sequence_id": 119, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 19290, "sequence_id": 120, "annotations": []}
{"role": "volunteer", "content": "do you know how to write that?", "session_id": 19290, "sequence_id": 121, "annotations": []}
{"role": "student", "content": "no", "session_id": 19290, "sequence_id": 122, "annotations": []}
{"role": "volunteer", "content": "so if a number is multiplied by itself, that means it's squared right?", "session_id": 19290, "sequence_id": 123, "annotations": []}
{"role": "volunteer", "content": "so when you write that you do a superscript 2", "session_id": 19290, "sequence_id": 124, "annotations": []}
{"role": "volunteer", "content": "did you see how i wrote it", "session_id": 19290, "sequence_id": 125, "annotations": []}
{"role": "volunteer", "content": "that means any x number you have, you will multiply by itself", "session_id": 19290, "sequence_id": 126, "annotations": []}
{"role": "student", "content": "so it is x squared", "session_id": 19290, "sequence_id": 127, "annotations": []}
{"role": "volunteer", "content": "when you type it it should be x^2", "session_id": 19290, "sequence_id": 128, "annotations": []}
{"role": "volunteer", "content": "but yeah", "session_id": 19290, "sequence_id": 129, "annotations": []}
{"role": "volunteer", "content": "it's \"x squared\"", "session_id": 19290, "sequence_id": 130, "annotations": []}
{"role": "volunteer", "content": "so can you find the other fruits now?", "session_id": 19290, "sequence_id": 131, "annotations": []}
{"role": "volunteer", "content": "in the y column", "session_id": 19290, "sequence_id": 132, "annotations": []}
{"role": "student", "content": "64 and 81", "session_id": 19290, "sequence_id": 133, "annotations": []}
{"role": "volunteer", "content": "yeah!", "session_id": 19290, "sequence_id": 134, "annotations": []}
{"role": "student", "content": "36", "session_id": 19290, "sequence_id": 135, "annotations": []}
{"role": "volunteer", "content": "and there's another one beside 6", "session_id": 19290, "sequence_id": 136, "annotations": []}
{"role": "volunteer", "content": "perfect", "session_id": 19290, "sequence_id": 137, "annotations": []}
{"role": "volunteer", "content": "ok Liam i only have 10 minutes left so we can start table 4 but im not sure we'll be able to finish it", "session_id": 19290, "sequence_id": 138, "annotations": [{"pii_type": "PERSON", "surrogate": "Liam", "start": 3, "end": 7}]}
{"role": "volunteer", "content": "but first things first we're gonna plug in the numbers for the fruits", "session_id": 19290, "sequence_id": 139, "annotations": []}
{"role": "student", "content": "oki", "session_id": 19290, "sequence_id": 140, "annotations": []}
{"role": "student", "content": "i only need to find the banana number", "session_id": 19290, "sequence_id": 141, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 19290, "sequence_id": 142, "annotations": []}
{"role": "volunteer", "content": "so for this one can you see a direct pattern between the x value and y value?", "session_id": 19290, "sequence_id": 143, "annotations": []}
{"role": "volunteer", "content": "it's ok if you can't", "session_id": 19290, "sequence_id": 144, "annotations": []}
{"role": "student", "content": "4x+3", "session_id": 19290, "sequence_id": 145, "annotations": []}
{"role": "volunteer", "content": "does that work for 8 and 36 though?", "session_id": 19290, "sequence_id": 146, "annotations": []}
{"role": "student", "content": "no", "session_id": 19290, "sequence_id": 147, "annotations": []}
{"role": "volunteer", "content": "exactly, so for this one you actually can", "session_id": 19290, "sequence_id": 148, "annotations": []}
{"role": "volunteer", "content": "can't find a direct pattern between the x and y values", "session_id": 19290, "sequence_id": 149, "annotations": []}
{"role": "volunteer", "content": "so that means we need to look at the differences betwee the x values and the differences between teh y values seperately", "session_id": 19290, "sequence_id": 150, "annotations": []}
{"role": "volunteer", "content": "so looking at the x column, what does each number go up by?", "session_id": 19290, "sequence_id": 151, "annotations": []}
{"role": "student", "content": "1", "session_id": 19290, "sequence_id": 152, "annotations": []}
{"role": "volunteer", "content": "exactly", "session_id": 19290, "sequence_id": 153, "annotations": []}
{"role": "student", "content": "y goes up by 5", "session_id": 19290, "sequence_id": 154, "annotations": []}
{"role": "volunteer", "content": "perfect!", "session_id": 19290, "sequence_id": 155, "annotations": []}
{"role": "volunteer", "content": "so that means each time the x value goes up, y goes up by 5", "session_id": 19290, "sequence_id": 156, "annotations": []}
{"role": "student", "content": "11,51", "session_id": 19290, "sequence_id": 157, "annotations": []}
{"role": "volunteer", "content": "exactly!", "session_id": 19290, "sequence_id": 158, "annotations": []}
{"role": "volunteer", "content": "banana is 51", "session_id": 19290, "sequence_id": 159, "annotations": []}
{"role": "student", "content": "1x+5", "session_id": 19290, "sequence_id": 160, "annotations": []}
{"role": "volunteer", "content": "well for here we would need to find what y equals when x equals 1 first", "session_id": 19290, "sequence_id": 161, "annotations": []}
{"role": "student", "content": "it would be 5, though, won't it?", "session_id": 19290, "sequence_id": 162, "annotations": []}
{"role": "volunteer", "content": "lets see", "session_id": 19290, "sequence_id": 163, "annotations": []}
{"role": "volunteer", "content": "when x = 6, y= 26", "session_id": 19290, "sequence_id": 164, "annotations": []}
{"role": "volunteer", "content": "when x = 5 y=21", "session_id": 19290, "sequence_id": 165, "annotations": []}
{"role": "volunteer", "content": "when x=4 y = 16", "session_id": 19290, "sequence_id": 166, "annotations": []}
{"role": "volunteer", "content": "when x=3 y=9", "session_id": 19290, "sequence_id": 167, "annotations": []}
{"role": "volunteer", "content": "when x=2 y=4", "session_id": 19290, "sequence_id": 168, "annotations": []}
{"role": "volunteer", "content": "when x=1 y=-1", "session_id": 19290, "sequence_id": 169, "annotations": []}
{"role": "volunteer", "content": "so when x=1, y=-1", "session_id": 19290, "sequence_id": 170, "annotations": []}
{"role": "volunteer", "content": "so that's what we're going to start with", "session_id": 19290, "sequence_id": 171, "annotations": []}
{"role": "student", "content": "1x+-1?", "session_id": 19290, "sequence_id": 172, "annotations": []}
{"role": "volunteer", "content": "y=-1 + ___x", "session_id": 19290, "sequence_id": 173, "annotations": []}
{"role": "volunteer", "content": "if we plug in any number", "session_id": 19290, "sequence_id": 174, "annotations": []}
{"role": "volunteer", "content": "so lets do 7=-1+___31", "session_id": 19290, "sequence_id": 175, "annotations": []}
{"role": "volunteer", "content": "what do we get", "session_id": 19290, "sequence_id": 176, "annotations": []}
{"role": "volunteer", "content": "this one's kinda hard", "session_id": 19290, "sequence_id": 177, "annotations": []}
{"role": "volunteer", "content": "oh wait no", "session_id": 19290, "sequence_id": 178, "annotations": []}
{"role": "student", "content": "what?", "session_id": 19290, "sequence_id": 179, "annotations": []}
{"role": "volunteer", "content": "sorry this should be the slope formula", "session_id": 19290, "sequence_id": 180, "annotations": []}
{"role": "volunteer", "content": "have you leanred the slope formula?", "session_id": 19290, "sequence_id": 181, "annotations": []}
{"role": "student", "content": "yes", "session_id": 19290, "sequence_id": 182, "annotations": []}
{"role": "volunteer", "content": "can you plug this into the slope formula?", "session_id": 19290, "sequence_id": 183, "annotations": []}
{"role": "volunteer", "content": "you can choose any two rows", "session_id": 19290, "sequence_id": 184, "annotations": []}
{"role": "volunteer", "content": "Liam i need to go now but ill show you what i mean", "session_id": 19290, "sequence_id": 185, "annotations": [{"pii_type": "PERSON", "surrogate": "Liam", "start": 0, "end": 4}]}
{"role": "volunteer", "content": "so basically, we have x, 8 and 7, y=36 right", "session_id": 19290, "sequence_id": 186, "annotations": []}
{"role": "volunteer", "content": "so plugging it in the slope formula we have (36-31)/(8-7) so we get 5/1 = 5", "session_id": 19290, "sequence_id": 187, "annotations": []}
{"role": "volunteer", "content": "so now we know the slope is 5", "session_id": 19290, "sequence_id": 188, "annotations": []}
{"role": "student", "content": "yes", "session_id": 19290, "sequence_id": 189, "annotations": []}
{"role": "volunteer", "content": "so we know that y=5x + ____", "session_id": 19290, "sequence_id": 190, "annotations": []}
{"role": "volunteer", "content": "and so you can choose any point to plug in", "session_id": 19290, "sequence_id": 191, "annotations": []}
{"role": "volunteer", "content": "in order to fill in the blank", "session_id": 19290, "sequence_id": 192, "annotations": []}
{"role": "volunteer", "content": "so we could choose 9 and 41 for example", "session_id": 19290, "sequence_id": 193, "annotations": []}
{"role": "volunteer", "content": "so it would be 41 = 5(9) + ____", "session_id": 19290, "sequence_id": 194, "annotations": []}
{"role": "volunteer", "content": "which would be 41 = 45 + ___", "session_id": 19290, "sequence_id": 195, "annotations": []}
{"role": "volunteer", "content": "so can you guess what the blank would be?", "session_id": 19290, "sequence_id": 196, "annotations": []}
{"role": "volunteer", "content": "if you subtract 45 from both sides you would get the answer for the blank", "session_id": 19290, "sequence_id": 197, "annotations": []}
{"role": "volunteer", "content": "41-45=-4", "session_id": 19290, "sequence_id": 198, "annotations": []}
{"role": "volunteer", "content": "so then we know the equation is y=5x-4", "session_id": 19290, "sequence_id": 199, "annotations": []}
{"role": "volunteer", "content": "anyways I have to go now, but if this is still confusing feel free to ask for another tutor!", "session_id": 19290, "sequence_id": 200, "annotations": []}
{"role": "student", "content": "oki", "session_id": 19290, "sequence_id": 201, "annotations": []}
{"role": "volunteer", "content": "You made a lot of prorgress though today Liam so good job and good luck!", "session_id": 19290, "sequence_id": 202, "annotations": [{"pii_type": "PERSON", "surrogate": "Liam", "start": 41, "end": 45}]}
{"role": "volunteer", "content": "hey", "session_id": 19310, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "what do u need help with", "session_id": 19310, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "Hi can we do some basic math so I know how to navigate the world", "session_id": 19310, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "Really simple", "session_id": 19310, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "yea sure", "session_id": 19310, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "any topic in particular", "session_id": 19310, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "Anything to do with money or calculating days", "session_id": 19310, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "Word problems", "session_id": 19310, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 19310, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "and what grade level r u", "session_id": 19310, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "6", "session_id": 19310, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 19310, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "im gonna write a problem on the board and you can tell me if its too simple or too challenging", "session_id": 19310, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "I wrote it down", "session_id": 19310, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "Uhhh so doubling would mean his money would be 6", "session_id": 19310, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "Alex", "session_id": 19310, "sequence_id": 15, "annotations": [{"pii_type": "PERSON", "surrogate": "Alex", "start": 0, "end": 4}]}
{"role": "volunteer", "content": "so for example after one month he would have 6", "session_id": 19310, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "Because one month has 4 weeks right", "session_id": 19310, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "yea", "session_id": 19310, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "And a week is like 7 days right", "session_id": 19310, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "but u don't need to use that for this problem", "session_id": 19310, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "yea", "session_id": 19310, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "So umm", "session_id": 19310, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "How do i figure this out", "session_id": 19310, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "ok so im assuming u don't know how to right equations yet right", "session_id": 19310, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "write", "session_id": 19310, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 19310, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "ok so basically we just need to multiply four times then", "session_id": 19310, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "so basically", "session_id": 19310, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "u start at three", "session_id": 19310, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "3x2x4?", "session_id": 19310, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "uhh no", "session_id": 19310, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "do u know what a exponent is", "session_id": 19310, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 19310, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "do you know how to apply it", "session_id": 19310, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "Um like \u00be", "session_id": 19310, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "3\u00b2", "session_id": 19310, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "do you know what for example 2^3 is", "session_id": 19310, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "that's two to the third", "session_id": 19310, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "do u know what is equals", "session_id": 19310, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "6?", "session_id": 19310, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "uhh not quite that's two multiplied by 3", "session_id": 19310, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "so 2^3 is 2 multiplied by itself 3 times", "session_id": 19310, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "so written out its 2x2x2", "session_id": 19310, "sequence_id": 43, "annotations": []}
{"role": "student", "content": "8", "session_id": 19310, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "yea", "session_id": 19310, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "so basically another example is 4^3", "session_id": 19310, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "that would be 4x4x4", "session_id": 19310, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "or 5^4", "session_id": 19310, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "5x5x5x5", "session_id": 19310, "sequence_id": 49, "annotations": []}
{"role": "student", "content": "Hm", "session_id": 19310, "sequence_id": 50, "annotations": []}
{"role": "student", "content": "Thank makes sense", "session_id": 19310, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "\ud83d\udc4d", "session_id": 19310, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "yea", "session_id": 19310, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "so basically in this problem", "session_id": 19310, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "the equation would be 3 x 2^4", "session_id": 19310, "sequence_id": 55, "annotations": []}
{"role": "student", "content": "Three times two to the power of four", "session_id": 19310, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "yea", "session_id": 19310, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "so every month", "session_id": 19310, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "the original three is doubled", "session_id": 19310, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "but since its not adding every time its multiplying", "session_id": 19310, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "you have to multiple the original 3 by the amount it increases or decreases by to the power of the amount of time that passes", "session_id": 19310, "sequence_id": 61, "annotations": []}
{"role": "student", "content": "Mmm", "session_id": 19310, "sequence_id": 62, "annotations": []}
{"role": "student", "content": "So four months", "session_id": 19310, "sequence_id": 63, "annotations": []}
{"role": "student", "content": "We would times the double number (2) by four", "session_id": 19310, "sequence_id": 64, "annotations": []}
{"role": "student", "content": "No, how do I word this, we would make the 2 get to the power of four because thats the months and the two represents the doubling", "session_id": 19310, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "yup", "session_id": 19310, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "does that kinda make sense", "session_id": 19310, "sequence_id": 67, "annotations": []}
{"role": "student", "content": "2\u2074 iss", "session_id": 19310, "sequence_id": 68, "annotations": []}
{"role": "student", "content": "2x2x2x2", "session_id": 19310, "sequence_id": 69, "annotations": []}
{"role": "student", "content": "2x2=4", "session_id": 19310, "sequence_id": 70, "annotations": []}
{"role": "student", "content": "4x2=8", "session_id": 19310, "sequence_id": 71, "annotations": []}
{"role": "student", "content": "8x2=16", "session_id": 19310, "sequence_id": 72, "annotations": []}
{"role": "student", "content": "So now it is 3x16", "session_id": 19310, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "yup", "session_id": 19310, "sequence_id": 74, "annotations": []}
{"role": "student", "content": "3\u00d716 equals48", "session_id": 19310, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "so basically u can also think about it this way", "session_id": 19310, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "its also 3x2x2x2x2", "session_id": 19310, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "and each 2 represents a month", "session_id": 19310, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "so when you multiple the 3 by each 2 it counts as each month passing", "session_id": 19310, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "and that's why there's 4", "session_id": 19310, "sequence_id": 80, "annotations": []}
{"role": "student", "content": "That makes way more sense", "session_id": 19310, "sequence_id": 81, "annotations": []}
{"role": "student", "content": "After 4 months he has 48 dollars", "session_id": 19310, "sequence_id": 82, "annotations": []}
{"role": "volunteer", "content": "yup", "session_id": 19310, "sequence_id": 83, "annotations": []}
{"role": "volunteer", "content": "nice job", "session_id": 19310, "sequence_id": 84, "annotations": []}
{"role": "volunteer", "content": "do u want to do another problem by urself related to this", "session_id": 19310, "sequence_id": 85, "annotations": []}
{"role": "student", "content": "Yeah! This will have to ve the last one since I have to go to sleep soon", "session_id": 19310, "sequence_id": 86, "annotations": []}
{"role": "student", "content": "Its 12am where I am", "session_id": 19310, "sequence_id": 87, "annotations": []}
{"role": "volunteer", "content": "oh yea", "session_id": 19310, "sequence_id": 88, "annotations": []}
{"role": "volunteer", "content": "ill type the problem out here because its probably faster", "session_id": 19310, "sequence_id": 89, "annotations": []}
{"role": "volunteer", "content": "bob has five cookies. every day, the amount of cookies he has triples. after five days, how many cookies does bob have", "session_id": 19310, "sequence_id": 90, "annotations": []}
{"role": "student", "content": "5 cookies times 3\u2075", "session_id": 19310, "sequence_id": 91, "annotations": []}
{"role": "volunteer", "content": "yup", "session_id": 19310, "sequence_id": 92, "annotations": []}
{"role": "student", "content": "The three represents the days passing. So it's 5x3x3x3x3x3", "session_id": 19310, "sequence_id": 93, "annotations": []}
{"role": "volunteer", "content": "yup", "session_id": 19310, "sequence_id": 94, "annotations": []}
{"role": "student", "content": "3x3=6x3=18", "session_id": 19310, "sequence_id": 95, "annotations": []}
{"role": "student", "content": "What's 18x3?", "session_id": 19310, "sequence_id": 96, "annotations": []}
{"role": "volunteer", "content": "its 54", "session_id": 19310, "sequence_id": 97, "annotations": []}
{"role": "volunteer", "content": "in the future though if u have access to one it's probably easier to use a calculator", "session_id": 19310, "sequence_id": 98, "annotations": []}
{"role": "volunteer", "content": "the numbers can get pretty high in these types of equations", "session_id": 19310, "sequence_id": 99, "annotations": []}
{"role": "student", "content": "54\u00d73=162", "session_id": 19310, "sequence_id": 100, "annotations": []}
{"role": "student", "content": "Hmm", "session_id": 19310, "sequence_id": 101, "annotations": []}
{"role": "student", "content": "Noted", "session_id": 19310, "sequence_id": 102, "annotations": []}
{"role": "student", "content": "So after a week he has cookies?", "session_id": 19310, "sequence_id": 103, "annotations": []}
{"role": "volunteer", "content": "wait wait wait", "session_id": 19310, "sequence_id": 104, "annotations": []}
{"role": "volunteer", "content": "hold up", "session_id": 19310, "sequence_id": 105, "annotations": []}
{"role": "volunteer", "content": "I think u might've done a step incorrectly", "session_id": 19310, "sequence_id": 106, "annotations": []}
{"role": "volunteer", "content": "3x3 isn't equal to 6x3", "session_id": 19310, "sequence_id": 107, "annotations": []}
{"role": "volunteer", "content": "its 9 not 18", "session_id": 19310, "sequence_id": 108, "annotations": []}
{"role": "student", "content": "I meant 3x3 is equal to 6. Then I did 6x3", "session_id": 19310, "sequence_id": 109, "annotations": []}
{"role": "student", "content": "Ohhh", "session_id": 19310, "sequence_id": 110, "annotations": []}
{"role": "volunteer", "content": "here I can write it out for u", "session_id": 19310, "sequence_id": 111, "annotations": []}
{"role": "volunteer", "content": "1. 3x3=9", "session_id": 19310, "sequence_id": 112, "annotations": []}
{"role": "volunteer", "content": "2. 9x3=27", "session_id": 19310, "sequence_id": 113, "annotations": []}
{"role": "volunteer", "content": "3. 27x3=81", "session_id": 19310, "sequence_id": 114, "annotations": []}
{"role": "volunteer", "content": "4. 81x3=243", "session_id": 19310, "sequence_id": 115, "annotations": []}
{"role": "volunteer", "content": "and then u multiply 243 by 5", "session_id": 19310, "sequence_id": 116, "annotations": []}
{"role": "volunteer", "content": "and u will get", "session_id": 19310, "sequence_id": 117, "annotations": []}
{"role": "student", "content": "Ohhhhh", "session_id": 19310, "sequence_id": 118, "annotations": []}
{"role": "student", "content": "Sam must have alot of cookies", "session_id": 19310, "sequence_id": 119, "annotations": [{"pii_type": "PERSON", "surrogate": "Sam", "start": 0, "end": 3}]}
{"role": "student", "content": "1215 cookies at the end of the week", "session_id": 19310, "sequence_id": 120, "annotations": []}
{"role": "volunteer", "content": "yea he probably does", "session_id": 19310, "sequence_id": 121, "annotations": []}
{"role": "volunteer", "content": "hell probably also have diabetes soon", "session_id": 19310, "sequence_id": 122, "annotations": []}
{"role": "student", "content": "LOLLL", "session_id": 19310, "sequence_id": 123, "annotations": []}
{"role": "student", "content": "Sam should go on a diet", "session_id": 19310, "sequence_id": 124, "annotations": [{"pii_type": "PERSON", "surrogate": "Sam", "start": 0, "end": 3}]}
{"role": "volunteer", "content": "I think its a bit late for that", "session_id": 19310, "sequence_id": 125, "annotations": []}
{"role": "student", "content": "Well thank you so much for this lesson haha, I think I'll go now since its really late where im at", "session_id": 19310, "sequence_id": 126, "annotations": []}
{"role": "volunteer", "content": "yea good night", "session_id": 19310, "sequence_id": 127, "annotations": []}
{"role": "student", "content": "Sam I'll be at his funeral since he probably had a heart attack from diabetes", "session_id": 19310, "sequence_id": 128, "annotations": [{"pii_type": "PERSON", "surrogate": "Sam", "start": 0, "end": 3}]}
{"role": "volunteer", "content": "yup", "session_id": 19310, "sequence_id": 129, "annotations": []}
{"role": "volunteer", "content": "bye", "session_id": 19310, "sequence_id": 130, "annotations": []}
{"role": "volunteer", "content": "Hi.  How are you?", "session_id": 19289, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "Hi, I'm doing great", "session_id": 19289, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "I need some help with questions on the board. There's quite a lot of them", "session_id": 19289, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "Ok.  Which one is first?", "session_id": 19289, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "question 79", "session_id": 19289, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "Ok.  Let me read it.", "session_id": 19289, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "Oh I think I know how to do the first one", "session_id": 19289, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "The answer is B right?", "session_id": 19289, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "Yes.", "session_id": 19289, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "The derivative is negative, turns to 0, then goes positive.", "session_id": 19289, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "Although I see that on the first graph as well.", "session_id": 19289, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "Why isn't f the correct answer though?", "session_id": 19289, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "Oh ok", "session_id": 19289, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "Here right?", "session_id": 19289, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "I am sorry.  Let me relook.  I thought I was looking at the function, not the derivative.", "session_id": 19289, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "Oh Ok", "session_id": 19289, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "So.  What we should look for with a maximum is a derivative that is increasing, then hits 0, than decreases.", "session_id": 19289, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 19289, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "So.  f fits the bill", "session_id": 19289, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "Ok, so the final answer will be D right?", "session_id": 19289, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "I'm still looking at g.", "session_id": 19289, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "g(x) is increasing, hits 0, but never comes down.", "session_id": 19289, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "h(x) never stops growing.", "session_id": 19289, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "oh I was looking at the minimum", "session_id": 19289, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "Ok", "session_id": 19289, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "Can we move on?", "session_id": 19289, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "f increases, stops increasing, then starts to decrease.  So a max.", "session_id": 19289, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "yep", "session_id": 19289, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "So, I believe a is the answer.", "session_id": 19289, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "Hopefully!", "session_id": 19289, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "Ok!", "session_id": 19289, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "Do you have the answers?", "session_id": 19289, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "No..", "session_id": 19289, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "Let's look at the next one.", "session_id": 19289, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "So.  What do you think on the next one?", "session_id": 19289, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "A?", "session_id": 19289, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "Right.  But are you only to pick one answer on these?", "session_id": 19289, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "I believe so", "session_id": 19289, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "Well A is clearly incorrect.", "session_id": 19289, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "Can x=a be the relative maximum?", "session_id": 19289, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "Let me come back to that in a minute.", "session_id": 19289, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "C is correct because the function is defined at all points.", "session_id": 19289, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 19289, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "D is correct because the limits from the left and right are where the hole is shown.", "session_id": 19289, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "And E is correct because that limit exists.", "session_id": 19289, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "Yep so they have a general limit", "session_id": 19289, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "I'm not sure about choice B", "session_id": 19289, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "So.  I believe B is correct because it follows what we were saying before.", "session_id": 19289, "sequence_id": 47, "annotations": []}
{"role": "student", "content": "Ok", "session_id": 19289, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "Hold that thought.", "session_id": 19289, "sequence_id": 49, "annotations": []}
{"role": "student", "content": "Ok", "session_id": 19289, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "I must admit that B is 100 percent clear to be a max to me.  The function increases, stops increasing for an instant at the discontinuity, then continues to increase.  I believe A is the answer but not so confident about B.", "session_id": 19289, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "It's quite confusing but ok", "session_id": 19289, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "Sorry to add to that confusion.", "session_id": 19289, "sequence_id": 53, "annotations": []}
{"role": "student", "content": "It's fine! I'll make sure to ask my school teacher.", "session_id": 19289, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "Good", "session_id": 19289, "sequence_id": 55, "annotations": []}
{"role": "student", "content": "Can we move on?", "session_id": 19289, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "Yes", "session_id": 19289, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "Give me a minute to take a quick break", "session_id": 19289, "sequence_id": 58, "annotations": []}
{"role": "student", "content": "Ok", "session_id": 19289, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "I am back", "session_id": 19289, "sequence_id": 60, "annotations": []}
{"role": "student", "content": "Ok", "session_id": 19289, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "I'm looking at the next one", "session_id": 19289, "sequence_id": 62, "annotations": []}
{"role": "student", "content": "I'm not sure about this one. I only know that x=0 is definitely not differentiable.", "session_id": 19289, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "Ok.  The function is not differentiable x = 0 and x =2.", "session_id": 19289, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "The reason for x = 2 is that the tangent line at that point is undefined.  ]", "session_id": 19289, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "The derivative at that point is undefined.", "session_id": 19289, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "So I believe B is the answer.", "session_id": 19289, "sequence_id": 67, "annotations": []}
{"role": "student", "content": "why is the tangent line at x=2 undefined?", "session_id": 19289, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "If you were to draw the tangent to the curve at x = 2, it would be a vertical line with a slope that would be undefined (infinite).", "session_id": 19289, "sequence_id": 69, "annotations": []}
{"role": "student", "content": "Oh ok", "session_id": 19289, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "Let me look at the next one.", "session_id": 19289, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "B and C definitely have derivatives at x = 0", "session_id": 19289, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "That leaves A, D and E.", "session_id": 19289, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "A, D and E all seem to have a zero derivative at x = 2", "session_id": 19289, "sequence_id": 74, "annotations": []}
{"role": "student", "content": "The second derivative part is confusing to me. How do we know that from these graphs?", "session_id": 19289, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "The graph of a function with a second derivative greater than 0 is concave up.", "session_id": 19289, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "The graph of a function with a second derivative less that 0 is concave down.", "session_id": 19289, "sequence_id": 77, "annotations": []}
{"role": "student", "content": "Oh right, I remember that", "session_id": 19289, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "Let me take a minute to look at the possibilities", "session_id": 19289, "sequence_id": 79, "annotations": []}
{"role": "student", "content": "D seems to be the answer to me", "session_id": 19289, "sequence_id": 80, "annotations": []}
{"role": "volunteer", "content": "What do you think about E?", "session_id": 19289, "sequence_id": 81, "annotations": []}
{"role": "volunteer", "content": "D is not continuous, right?", "session_id": 19289, "sequence_id": 82, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 19289, "sequence_id": 83, "annotations": []}
{"role": "volunteer", "content": "So.  I'm thinking E is the right choice.", "session_id": 19289, "sequence_id": 84, "annotations": []}
{"role": "volunteer", "content": "It seems to meet all conditions.", "session_id": 19289, "sequence_id": 85, "annotations": []}
{"role": "student", "content": "Sarah the derivative of \"not continuous\" parts do not exist?", "session_id": 19289, "sequence_id": 86, "annotations": [{"pii_type": "PERSON", "surrogate": "Sarah", "start": 0, "end": 5}]}
{"role": "student", "content": "Shouldn't the derivative of not continuous parts not exist as well? *", "session_id": 19289, "sequence_id": 87, "annotations": []}
{"role": "volunteer", "content": "Well, both D and E do not have a derivative at x = 0, but E is continuous.  The problem states that the function is continuous over the interval.", "session_id": 19289, "sequence_id": 88, "annotations": []}
{"role": "student", "content": "How about A then?", "session_id": 19289, "sequence_id": 89, "annotations": []}
{"role": "volunteer", "content": "Good point. Let me look at that again.", "session_id": 19289, "sequence_id": 90, "annotations": []}
{"role": "volunteer", "content": "The second derivative is not less than zero for the first part of the graph.", "session_id": 19289, "sequence_id": 91, "annotations": []}
{"role": "volunteer", "content": "That was a requirement of the problem.", "session_id": 19289, "sequence_id": 92, "annotations": []}
{"role": "student", "content": "Oh!", "session_id": 19289, "sequence_id": 93, "annotations": []}
{"role": "volunteer", "content": "So, on A, the first part of the graph has a second derivative that is positive.", "session_id": 19289, "sequence_id": 94, "annotations": []}
{"role": "student", "content": "This question is very tricky \ud83d\ude05", "session_id": 19289, "sequence_id": 95, "annotations": []}
{"role": "student", "content": "yep, it's concave up", "session_id": 19289, "sequence_id": 96, "annotations": []}
{"role": "volunteer", "content": "I have to tell you that I don't care for these type of questions.  They are very tricky and sometimes difficult to analyze in your head!", "session_id": 19289, "sequence_id": 97, "annotations": []}
{"role": "volunteer", "content": "I like E on this one.", "session_id": 19289, "sequence_id": 98, "annotations": []}
{"role": "student", "content": "Ok", "session_id": 19289, "sequence_id": 99, "annotations": []}
{"role": "volunteer", "content": "Let me study this one.", "session_id": 19289, "sequence_id": 100, "annotations": []}
{"role": "volunteer", "content": "So.  C and D are out because the derivative is negative on their graphs.", "session_id": 19289, "sequence_id": 101, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 19289, "sequence_id": 102, "annotations": []}
{"role": "student", "content": "I think it should be B", "session_id": 19289, "sequence_id": 103, "annotations": []}
{"role": "volunteer", "content": "I like B also.  Good job!", "session_id": 19289, "sequence_id": 104, "annotations": []}
{"role": "volunteer", "content": "Let me move on.", "session_id": 19289, "sequence_id": 105, "annotations": []}
{"role": "student", "content": "do graphs like this considered as discontinuous at 0?", "session_id": 19289, "sequence_id": 106, "annotations": []}
{"role": "volunteer", "content": "No.  That is not discontinuous.", "session_id": 19289, "sequence_id": 107, "annotations": []}
{"role": "volunteer", "content": "Let's start eliminating.", "session_id": 19289, "sequence_id": 108, "annotations": []}
{"role": "student", "content": "It is continuous but not differentiable right?", "session_id": 19289, "sequence_id": 109, "annotations": []}
{"role": "volunteer", "content": "Correct.", "session_id": 19289, "sequence_id": 110, "annotations": []}
{"role": "student", "content": "Ok", "session_id": 19289, "sequence_id": 111, "annotations": []}
{"role": "volunteer", "content": "E is true, right?", "session_id": 19289, "sequence_id": 112, "annotations": []}
{"role": "student", "content": "Yea", "session_id": 19289, "sequence_id": 113, "annotations": []}
{"role": "volunteer", "content": "D is problematic.", "session_id": 19289, "sequence_id": 114, "annotations": []}
{"role": "volunteer", "content": "The derivative of x^3 is 3x^2 which is 0 at 0.", "session_id": 19289, "sequence_id": 115, "annotations": []}
{"role": "volunteer", "content": "However the derivative of x is 1", "session_id": 19289, "sequence_id": 116, "annotations": []}
{"role": "student", "content": "Do need to consider both sides when they say \"x\u22640\"", "session_id": 19289, "sequence_id": 117, "annotations": []}
{"role": "volunteer", "content": "Let me verify with you that they are expecting only one answer on these problems, right?", "session_id": 19289, "sequence_id": 118, "annotations": []}
{"role": "student", "content": "I think so", "session_id": 19289, "sequence_id": 119, "annotations": []}
{"role": "student", "content": "I'll ask my teacher about this question as well", "session_id": 19289, "sequence_id": 120, "annotations": []}
{"role": "student", "content": "I actually do have a few more questions on this topic. Do you mind helping me with them as well?", "session_id": 19289, "sequence_id": 121, "annotations": []}
{"role": "volunteer", "content": "So.  I think the derivative is positive for all x not equal to zero.  This is demonstrable by taking the derivative which is 3x^2 for x < 0 and 1 for x > 0.  Both are positive.", "session_id": 19289, "sequence_id": 122, "annotations": []}
{"role": "volunteer", "content": "I have to finish by noon because of another session scheduled.  Happy to help until then.", "session_id": 19289, "sequence_id": 123, "annotations": []}
{"role": "student", "content": "Ok", "session_id": 19289, "sequence_id": 124, "annotations": []}
{"role": "volunteer", "content": "I'm picking E on this one.", "session_id": 19289, "sequence_id": 125, "annotations": []}
{"role": "student", "content": "Ok", "session_id": 19289, "sequence_id": 126, "annotations": []}
{"role": "volunteer", "content": "Make sense?", "session_id": 19289, "sequence_id": 127, "annotations": []}
{"role": "student", "content": "Mike", "session_id": 19289, "sequence_id": 128, "annotations": [{"pii_type": "PERSON", "surrogate": "Mike", "start": 0, "end": 4}]}
{"role": "student", "content": "Yep*", "session_id": 19289, "sequence_id": 129, "annotations": []}
{"role": "volunteer", "content": "What's next?", "session_id": 19289, "sequence_id": 130, "annotations": []}
{"role": "student", "content": "I just uploaded on top", "session_id": 19289, "sequence_id": 131, "annotations": []}
{"role": "volunteer", "content": "Thanks.  Let me look.", "session_id": 19289, "sequence_id": 132, "annotations": []}
{"role": "volunteer", "content": "Clearly, f(x)) is > 0", "session_id": 19289, "sequence_id": 133, "annotations": []}
{"role": "volunteer", "content": "Clearly f(1) = 0", "session_id": 19289, "sequence_id": 134, "annotations": []}
{"role": "student", "content": "Oh I think the answer is D", "session_id": 19289, "sequence_id": 135, "annotations": []}
{"role": "student", "content": "and f\"(1) = -", "session_id": 19289, "sequence_id": 136, "annotations": []}
{"role": "volunteer", "content": "Right.", "session_id": 19289, "sequence_id": 137, "annotations": []}
{"role": "student", "content": "f\"(0)<0", "session_id": 19289, "sequence_id": 138, "annotations": []}
{"role": "student", "content": "f\"(1)<0 *", "session_id": 19289, "sequence_id": 139, "annotations": []}
{"role": "student", "content": "Ok", "session_id": 19289, "sequence_id": 140, "annotations": []}
{"role": "volunteer", "content": "D looks right to me", "session_id": 19289, "sequence_id": 141, "annotations": []}
{"role": "volunteer", "content": "Let me look at the next one.", "session_id": 19289, "sequence_id": 142, "annotations": []}
{"role": "volunteer", "content": "B is good.", "session_id": 19289, "sequence_id": 143, "annotations": []}
{"role": "volunteer", "content": "Good.", "session_id": 19289, "sequence_id": 144, "annotations": []}
{"role": "volunteer", "content": "D looks good", "session_id": 19289, "sequence_id": 145, "annotations": []}
{"role": "student", "content": "Ok", "session_id": 19289, "sequence_id": 146, "annotations": []}
{"role": "student", "content": "That's all for now! Thank you so much for helping me today", "session_id": 19289, "sequence_id": 147, "annotations": []}
{"role": "student", "content": "I really appreciate it", "session_id": 19289, "sequence_id": 148, "annotations": []}
{"role": "volunteer", "content": "You are very welcome.  As I mentioned, I find these problems to be challenging and like to use the process of elimination.  You are really great!", "session_id": 19289, "sequence_id": 149, "annotations": []}
{"role": "student", "content": "Thanks, have a good day", "session_id": 19289, "sequence_id": 150, "annotations": []}
{"role": "volunteer", "content": "Bye", "session_id": 19289, "sequence_id": 151, "annotations": []}
{"role": "volunteer", "content": "helloooo", "session_id": 19321, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "how you doing", "session_id": 19321, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "hello", "session_id": 19321, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "good hbu?", "session_id": 19321, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "im good as well", "session_id": 19321, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "whenever ur ready you can just pop a question on the board", "session_id": 19321, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "can you help me with this", "session_id": 19321, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "yea sure", "session_id": 19321, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "you basically need to make a function with the criteria right", "session_id": 19321, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "yes", "session_id": 19321, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "can yo uhel pme", "session_id": 19321, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "let's start with the basics first", "session_id": 19321, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "we have 2 points we need to account for", "session_id": 19321, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "so first just mark where those would be", "session_id": 19321, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "wait quick question before we continue", "session_id": 19321, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "can we draw whatever we want", "session_id": 19321, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "or do we need to write an actually equation for this", "session_id": 19321, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "actual*", "session_id": 19321, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "drwa whatever", "session_id": 19321, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "ok cool", "session_id": 19321, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "so we can start by plotting those two points", "session_id": 19321, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "can you put them down?", "session_id": 19321, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "ok'", "session_id": 19321, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "are you writing down on paper or on the whiteboard btw", "session_id": 19321, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "whiteboard", "session_id": 19321, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "got that", "session_id": 19321, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "ok sweet", "session_id": 19321, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "btw im gonna move the left one bc i think it's on (-2, 0)", "session_id": 19321, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "ok", "session_id": 19321, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "ok cool", "session_id": 19321, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "so for the next one", "session_id": 19321, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "it's saying as x is approaching infinity, f(x) approaches -1", "session_id": 19321, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "which kind of asymptote is this referencing?", "session_id": 19321, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "im not sure", "session_id": 19321, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "ok so with a horizontal asymptote", "session_id": 19321, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "it kinda looks smth like this", "session_id": 19321, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "where f(x) is starting to get closer and closer to a y-value", "session_id": 19321, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "with a vertical asymptote", "session_id": 19321, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "f(x) goes to -\u221e or \u221e", "session_id": 19321, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "so if lim x->  f(x) is -1", "session_id": 19321, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "then f(x) is going to -1", "session_id": 19321, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "which asymptote is that?", "session_id": 19321, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "vettical", "session_id": 19321, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "vertical", "session_id": 19321, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "it would be horizontal", "session_id": 19321, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "ohhh", "session_id": 19321, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "yea imagine if this was -1", "session_id": 19321, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "then f(x) is going to -1", "session_id": 19321, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "if you look at a point on the graph to the right", "session_id": 19321, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "it's very close to -1", "session_id": 19321, "sequence_id": 49, "annotations": []}
{"role": "student", "content": "ohhh", "session_id": 19321, "sequence_id": 50, "annotations": []}
{"role": "student", "content": "i see", "session_id": 19321, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "nice", "session_id": 19321, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "so for now", "session_id": 19321, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "i'll put an asymptote line thing", "session_id": 19321, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "forgot what it's called", "session_id": 19321, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "at -1", "session_id": 19321, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "so we know now that as x moves to the right the graph should go close to that blue line", "session_id": 19321, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "try this green one now", "session_id": 19321, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "what kind of asymptote is that and where would it occur?", "session_id": 19321, "sequence_id": 59, "annotations": []}
{"role": "student", "content": "like that?", "session_id": 19321, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "yea that's an example of a graph with a horizontal asymptote at -1 but only at -\u221e", "session_id": 19321, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "plus we still have the rest of the criteria to evaluate but yea spot on", "session_id": 19321, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "the asymptote would have to be on the right side because this one will only have f(x) go to -1 if x is -\u221e", "session_id": 19321, "sequence_id": 63, "annotations": []}
{"role": "student", "content": "ohh okay", "session_id": 19321, "sequence_id": 64, "annotations": []}
{"role": "student", "content": "what do i do", "session_id": 19321, "sequence_id": 65, "annotations": []}
{"role": "student", "content": "is that drawn correctly", "session_id": 19321, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "if you were following the first three pieces of criteria now", "session_id": 19321, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "now*", "session_id": 19321, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "no*", "session_id": 19321, "sequence_id": 69, "annotations": []}
{"role": "student", "content": "oh i need help", "session_id": 19321, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "notice how here if you go to the left of the graph f(x) goes to -1?", "session_id": 19321, "sequence_id": 71, "annotations": []}
{"role": "student", "content": "yup", "session_id": 19321, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "left is -\u221e", "session_id": 19321, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "which way is \u221e?", "session_id": 19321, "sequence_id": 74, "annotations": []}
{"role": "student", "content": "right", "session_id": 19321, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "yep!", "session_id": 19321, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "so it kinda needs to be flipped", "session_id": 19321, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "but make sure you account for the two points", "session_id": 19321, "sequence_id": 78, "annotations": []}
{"role": "student", "content": "oh", "session_id": 19321, "sequence_id": 79, "annotations": []}
{"role": "student", "content": "ok", "session_id": 19321, "sequence_id": 80, "annotations": []}
{"role": "student", "content": "idk how", "session_id": 19321, "sequence_id": 81, "annotations": []}
{"role": "volunteer", "content": "here's one example", "session_id": 19321, "sequence_id": 82, "annotations": []}
{"role": "volunteer", "content": "so i just added the green line so that we can reach the other point", "session_id": 19321, "sequence_id": 83, "annotations": []}
{"role": "volunteer", "content": "but yea that black line is a good horizontal asymptote", "session_id": 19321, "sequence_id": 84, "annotations": []}
{"role": "student", "content": "what is the green", "session_id": 19321, "sequence_id": 85, "annotations": []}
{"role": "volunteer", "content": "i just added onto the function you drew", "session_id": 19321, "sequence_id": 86, "annotations": []}
{"role": "volunteer", "content": "because then you couldn't reach the (-3, 0)", "session_id": 19321, "sequence_id": 87, "annotations": []}
{"role": "volunteer", "content": "you still there?", "session_id": 19321, "sequence_id": 88, "annotations": []}
{"role": "volunteer", "content": "Hey Leo!", "session_id": 19448, "sequence_id": 0, "annotations": [{"pii_type": "PERSON", "surrogate": "Leo", "start": 4, "end": 7}]}
{"role": "volunteer", "content": "What do you need help with?", "session_id": 19448, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "Its a geometry homework assignment that has to do with compasses", "session_id": 19448, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "Okay, I understand", "session_id": 19448, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "For the first one, you need to bisect the angle, right?", "session_id": 19448, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "Do you know what does bisecting an angle mean?", "session_id": 19448, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "sorry thats the wrong question give me a second", "session_id": 19448, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "OKay", "session_id": 19448, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "There's the right question now", "session_id": 19448, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "You have a problem because it says that the perpendicular has to go thru a certain point, yes?", "session_id": 19448, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 19448, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "So, if you can figure out the right A and B to start with, it is just easy", "session_id": 19448, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "Okay, so open your compass to any length, needle on the R, and intersect your line a at two points", "session_id": 19448, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "can you do number 2", "session_id": 19448, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "Did that make sense?", "session_id": 19448, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "That gives you A and B", "session_id": 19448, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "ok", "session_id": 19448, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "Do you know where to go from here?", "session_id": 19448, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "no", "session_id": 19448, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "It is the same as the instructions you have", "session_id": 19448, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "Look at Step 1", "session_id": 19448, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "You have your A and B now, right?", "session_id": 19448, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 19448, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "Wait, did you understand how did we get A and B?", "session_id": 19448, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "not really", "session_id": 19448, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "No problem", "session_id": 19448, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "were you able to do Step 1?", "session_id": 19448, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "Were you able to do Step 1?", "session_id": 19448, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "Not on my own", "session_id": 19448, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "Okay, do you know how to do it now after someone has helped you?", "session_id": 19448, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "not really", "session_id": 19448, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "Okay, no problem", "session_id": 19448, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "Can you tell me what you are thinking tho? When you look at Step 1, you have the instructions on the left. We can talk thru what is not working, okay?", "session_id": 19448, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "okay", "session_id": 19448, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "Okay, so we have the exact instructions on what we need to do, but why are we not able to do it?", "session_id": 19448, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "I just don't really understand what the words mean", "session_id": 19448, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "Okay, cool", "session_id": 19448, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "So, do you know what a perpendicular is?", "session_id": 19448, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "Is it like a up and down line", "session_id": 19448, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "Not exactly", "session_id": 19448, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "Not always", "session_id": 19448, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "So, for the instructions that we have our line k is a line that goes from left to right, yes?", "session_id": 19448, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 19448, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "Let me know if I stop making sense at any point, okay?", "session_id": 19448, "sequence_id": 43, "annotations": []}
{"role": "student", "content": "okay", "session_id": 19448, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "Okay, so for k, when we draw a perpendicular, the perpendicular is indeed and up and down line", "session_id": 19448, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "okay so for number 2 the line would be left to right no?", "session_id": 19448, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "Yes", "session_id": 19448, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "Both these lines are perpendicular to each other", "session_id": 19448, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "ok", "session_id": 19448, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "And perpendicular means that they are at 90 degrees to each other", "session_id": 19448, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "So, they don't have to be up and down or left to right only", "session_id": 19448, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "They can be diagonal", "session_id": 19448, "sequence_id": 52, "annotations": []}
{"role": "student", "content": "okay", "session_id": 19448, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "What is important is the angle between those 2 lines", "session_id": 19448, "sequence_id": 54, "annotations": []}
{"role": "student", "content": "ok", "session_id": 19448, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "Cool :)", "session_id": 19448, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "So, our goal is to draw a perpendicular thru lines a and b in the questions", "session_id": 19448, "sequence_id": 57, "annotations": []}
{"role": "student", "content": "Okay", "session_id": 19448, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "Do you have a compass and notebook right now?", "session_id": 19448, "sequence_id": 59, "annotations": []}
{"role": "student", "content": "yes", "session_id": 19448, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "Okay, since you have already done Step 1, let us try to do Problem 2 now", "session_id": 19448, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "Look at step 1, what is not making sense there, and let me know", "session_id": 19448, "sequence_id": 62, "annotations": []}
{"role": "student", "content": "okay so I would start on point r", "session_id": 19448, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "Yes, you start at R", "session_id": 19448, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "Place your compass needle at R", "session_id": 19448, "sequence_id": 65, "annotations": []}
{"role": "student", "content": "ok", "session_id": 19448, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "Open your compass to any length, but keep it consistent for every step", "session_id": 19448, "sequence_id": 67, "annotations": []}
{"role": "student", "content": "okay", "session_id": 19448, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "As in you can change between steps usually, but not while you are doing one step", "session_id": 19448, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "So when marking A and B, it needs to stay the same", "session_id": 19448, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "So, needle on R and mark any 2 points on the line", "session_id": 19448, "sequence_id": 71, "annotations": []}
{"role": "student", "content": "would it look like that", "session_id": 19448, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "Not really, those arcs have to be on the line that you are trying to draw the perpendicular on", "session_id": 19448, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "Try again and let me know, but you are doing good!", "session_id": 19448, "sequence_id": 74, "annotations": []}
{"role": "student", "content": "okay do I draw the line first", "session_id": 19448, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "No, you have the line", "session_id": 19448, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "The pencil marks that you made, they should go on the line", "session_id": 19448, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "That is it", "session_id": 19448, "sequence_id": 78, "annotations": []}
{"role": "student", "content": "okay", "session_id": 19448, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "Let me know when you are done", "session_id": 19448, "sequence_id": 80, "annotations": []}
{"role": "student", "content": "like that?", "session_id": 19448, "sequence_id": 81, "annotations": []}
{"role": "volunteer", "content": "Yay! :D", "session_id": 19448, "sequence_id": 82, "annotations": []}
{"role": "volunteer", "content": "They can be smaller, but this is what we needed", "session_id": 19448, "sequence_id": 83, "annotations": []}
{"role": "student", "content": "Okay", "session_id": 19448, "sequence_id": 84, "annotations": []}
{"role": "volunteer", "content": "Okay, do you know where points A and B are?", "session_id": 19448, "sequence_id": 85, "annotations": []}
{"role": "student", "content": "no", "session_id": 19448, "sequence_id": 86, "annotations": []}
{"role": "volunteer", "content": "Where our arcs intersect the line, those 2 points are A and B", "session_id": 19448, "sequence_id": 87, "annotations": []}
{"role": "student", "content": "okay", "session_id": 19448, "sequence_id": 88, "annotations": []}
{"role": "student", "content": "hi", "session_id": 19454, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "hello", "session_id": 19454, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "i", "session_id": 19454, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "hii", "session_id": 19454, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "hi", "session_id": 19454, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "I need to do my math homework", "session_id": 19454, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "sure", "session_id": 19454, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "can u put it on the board", "session_id": 19454, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "ya", "session_id": 19454, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "u can just type it out its fine", "session_id": 19454, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "Ok 144 books into 8 equal stacks how many were in each stack", "session_id": 19454, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "ok soo all u have to is", "session_id": 19454, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "divide 144 by the 8", "session_id": 19454, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "can u do that", "session_id": 19454, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "Ya", "session_id": 19454, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 19454, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "There", "session_id": 19454, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "what did u get as the answer", "session_id": 19454, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "7r64", "session_id": 19454, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "what", "session_id": 19454, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "7,remainder 64", "session_id": 19454, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "thats not right here lemme show u", "session_id": 19454, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "Ok", "session_id": 19454, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "the answer is 18", "session_id": 19454, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "get it", "session_id": 19454, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 19454, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 19454, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "How much money", "session_id": 19454, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "whats the question", "session_id": 19454, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "Is 1\\2 of 5.80", "session_id": 19454, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "Dollars", "session_id": 19454, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "ok just divide 5.8 by 2", "session_id": 19454, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "then u have your answer", "session_id": 19454, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "Ok", "session_id": 19454, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "Hi Maria", "session_id": 19482, "sequence_id": 0, "annotations": [{"pii_type": "PERSON", "surrogate": "Maria", "start": 3, "end": 8}]}
{"role": "student", "content": "hello", "session_id": 19482, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "can u help me with a hw assignment?", "session_id": 19482, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "Sure. Can you upload the first question on the board?", "session_id": 19482, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "We could start with 2(a). Any guess?", "session_id": 19482, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "0?", "session_id": 19482, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "Did you learn what \"lim\" means? If not, I can explain.", "session_id": 19482, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "In any case, \"0\" is correct.", "session_id": 19482, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "yes, I know what lim means, what I'm confused about is for the + and - after the number", "session_id": 19482, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "The \"+\" means \"limit from the right\". \"-\" means \"limit from the left\".", "session_id": 19482, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "In other words, lim x\u2192-3 means the limit of f(x) when you approach x=-3 from the left.", "session_id": 19482, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "For example, when you look at x=-3.2, -3.1, etc, f(x) gets closer and closer to zero.", "session_id": 19482, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "Actually, \"from the left\" or \"from the right\" only apply when the sign is *after* the number. For example, 2(d) has lim x\u2192-2+, where \"+\" is from the right.", "session_id": 19482, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "For 2(a), the negative sign is before the \"3\". So lim x\u2192-3 simply means the limit as you approach -3 (from any direction). Either way, the limit is zero.", "session_id": 19482, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "Would you like to try 2(b) ?", "session_id": 19482, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "DNE right?", "session_id": 19482, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "Correct. You got it.", "session_id": 19482, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "2(c) ?", "session_id": 19482, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "5", "session_id": 19482, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "It's below the x-axis, so it should be -5.", "session_id": 19482, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "oh yea", "session_id": 19482, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "For 2(d), you approach x=-2 from the right (+), along the curve I drew in pink color.", "session_id": 19482, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "4", "session_id": 19482, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "Exactly.", "session_id": 19482, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "e. would be -1", "session_id": 19482, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "Right.", "session_id": 19482, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "And for 2(f), you approach x=-2 from the left, along the pink curve.", "session_id": 19482, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "-1", "session_id": 19482, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "Yes.", "session_id": 19482, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "would g. be 4 too?", "session_id": 19482, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "2(g) is tricky. The limit from the left is -1, but from the right is 4. Because the two limits are different, we say the limit does not exist (DNE).", "session_id": 19482, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "I meant, limit from the left is 1 (not -1). My bad.", "session_id": 19482, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "oh ok I get it", "session_id": 19482, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "and the h is 3 and I would 1", "session_id": 19482, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "Yes and yes.", "session_id": 19482, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "Did you want to do 3(a) ?", "session_id": 19482, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "For 3(a), the limit is below the x-axis, so -1.", "session_id": 19482, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "It's difficult to see, because your graph does not show the negative signs for the y-values.", "session_id": 19482, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "Sorry. I was looking at the wrong graph. For 3(a), the limit from the right is 1. You were right.", "session_id": 19482, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "3(b) ?", "session_id": 19482, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "3(b) DNE is correct.", "session_id": 19482, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "For 3(c), you look for the limit at the open (white) dot, not the black dot which is f(2).", "session_id": 19482, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "3(c), \"1\" is correct.", "session_id": 19482, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "3(d) DNE. You got it.", "session_id": 19482, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "3(e) \"2\" is right.", "session_id": 19482, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "3(f) is also right.", "session_id": 19482, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "3(g) is tricky, because the limit does exist. The limits as x\u21920 from the left and from the right are both \"1\" (open white dot).", "session_id": 19482, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "3(h), 0 is correct.", "session_id": 19482, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "Now it's all correct.", "session_id": 19482, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "Anything else I can help you with?", "session_id": 19482, "sequence_id": 49, "annotations": []}
{"role": "student", "content": "can u check this one", "session_id": 19482, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "OK. I'm checking...", "session_id": 19482, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "I'll put blue checkmarks next to correct answers.", "session_id": 19482, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "1(i) DNE is correct.", "session_id": 19482, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "At x=2, the limit from the right is 1, but there's no limit from the left. Because the two limits are different, we say the \"limit\" DNE.", "session_id": 19482, "sequence_id": 54, "annotations": []}
{"role": "student", "content": "can u help me with one more thing?", "session_id": 19482, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "Sure.", "session_id": 19482, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "I see question 5. I'm reading...", "session_id": 19482, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "Any guess for 5(d) ?", "session_id": 19482, "sequence_id": 58, "annotations": []}
{"role": "student", "content": "I don't know how to do d and e", "session_id": 19482, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "For 5(d), we want g(x) to increase on -5<x<-3. I'll show you.", "session_id": 19482, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "Where g(x) increases will be shown in blue, and where it decreases in red.", "session_id": 19482, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "As you can see, g(x) increases on -5<x<-3, and also on x>1 (blue color).", "session_id": 19482, "sequence_id": 62, "annotations": []}
{"role": "student", "content": "oh I get it now", "session_id": 19482, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "Awesome!", "session_id": 19482, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "Any guess for 5(e) ?", "session_id": 19482, "sequence_id": 65, "annotations": []}
{"role": "student", "content": "no", "session_id": 19482, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "5(e) tells us that the limit from the left is greater than the limit from the right. I'll draw two open (white) dots at x=-3.", "session_id": 19482, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "y=-2 will be our limit from the left, so I'll extend the curve to the left of (x,y) = (-3,-2).", "session_id": 19482, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "And y=-5 is our limit from the right, so I'll extend the curve toward the right. Finally, -2 > -5.", "session_id": 19482, "sequence_id": 69, "annotations": []}
{"role": "student", "content": "so thats how the graph should look like?", "session_id": 19482, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "Yes, it's one way to answer the question.", "session_id": 19482, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "I just noticed that the graph must satisfy \"all\" the conditions at the same time. Let me adjust.", "session_id": 19482, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "We only satisfied the conditions one at a time.", "session_id": 19482, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "Can you give me about 3 minutes to fix it?", "session_id": 19482, "sequence_id": 74, "annotations": []}
{"role": "student", "content": "yes", "session_id": 19482, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "I think it's complete. I'm checking it...", "session_id": 19482, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "Does it seem to meet all the conditions?", "session_id": 19482, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "Looks like it works. What do you think?", "session_id": 19482, "sequence_id": 78, "annotations": []}
{"role": "student", "content": "I think it does", "session_id": 19482, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "That was not easy!", "session_id": 19482, "sequence_id": 80, "annotations": []}
{"role": "volunteer", "content": "That completes the problem, and it's all the time I have. Any quick question before I go?", "session_id": 19482, "sequence_id": 81, "annotations": []}
{"role": "student", "content": "no that's all", "session_id": 19482, "sequence_id": 82, "annotations": []}
{"role": "student", "content": "thank you", "session_id": 19482, "sequence_id": 83, "annotations": []}
{"role": "volunteer", "content": "You're welcome. Enjoy the rest of your day.", "session_id": 19482, "sequence_id": 84, "annotations": []}
{"role": "student", "content": "you too", "session_id": 19482, "sequence_id": 85, "annotations": []}
{"role": "volunteer", "content": "Hello!", "session_id": 19539, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "hii", "session_id": 19539, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "did you need help with any more problems?", "session_id": 19539, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "yess  can you help me solve this", "session_id": 19539, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "sure!", "session_id": 19539, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "determine the length of the missing leg and hypotenuse of each the special right triangles", "session_id": 19539, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "I'll draw the picture now", "session_id": 19539, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "okay then!", "session_id": 19539, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "so okay do you know what are the special right triangles?", "session_id": 19539, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "they have a 90 degree right", "session_id": 19539, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "not exactly", "session_id": 19539, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "all right traingles have 90 degree angles", "session_id": 19539, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "but these are the special right traingles", "session_id": 19539, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "i put the image up for you", "session_id": 19539, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "okay", "session_id": 19539, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "it basically describes the ration of the sides of triangles with these angles", "session_id": 19539, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "ratio*", "session_id": 19539, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "for example", "session_id": 19539, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "in the 45-45-90 triangle", "session_id": 19539, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "which means the other 2 angles are 45 degrees each", "session_id": 19539, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "if the 2 legs are length x", "session_id": 19539, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "the hypotenuse is length x\u221a2", "session_id": 19539, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "ok", "session_id": 19539, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "so lets try to aply this", "session_id": 19539, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "ok", "session_id": 19539, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "so can you tell me which type of special right triangle do you have", "session_id": 19539, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "looking at the chart?", "session_id": 19539, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "just focus on the angles", "session_id": 19539, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "30-60-90 triangle?", "session_id": 19539, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "no nice try!", "session_id": 19539, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "idk man", "session_id": 19539, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "look at the angles in you triangle that you drew", "session_id": 19539, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "okay", "session_id": 19539, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "also what do the angles in a triangle add p to?", "session_id": 19539, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "180?", "session_id": 19539, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "correct!", "session_id": 19539, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "so is the other one 45", "session_id": 19539, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "yeah exactly lol", "session_id": 19539, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "because 280-90-45", "session_id": 19539, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "180", "session_id": 19539, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "my bad", "session_id": 19539, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "yup perfect", "session_id": 19539, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "so looking at the angles", "session_id": 19539, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "we have a 45-45-90 triangle", "session_id": 19539, "sequence_id": 43, "annotations": []}
{"role": "student", "content": "hold up my computer is about to die I'ma get my charger", "session_id": 19539, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "since we have 2 angles that are 45 degrees", "session_id": 19539, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "okay then", "session_id": 19539, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "so since our triangle is a 45-45-90 triangle, it follows the pattern shown in the image", "session_id": 19539, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "with sides of ratio: x, x, x\u221a2", "session_id": 19539, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "right?", "session_id": 19539, "sequence_id": 49, "annotations": []}
{"role": "student", "content": "I'm back", "session_id": 19539, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "okey then take a look at what i just said and let me know if you understand?", "session_id": 19539, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "okay", "session_id": 19539, "sequence_id": 52, "annotations": []}
{"role": "student", "content": "but mines only has one side", "session_id": 19539, "sequence_id": 53, "annotations": []}
{"role": "student", "content": "which is 5 quare root 2", "session_id": 19539, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "thats okay, remember this is just a ratio", "session_id": 19539, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "so lets look at it", "session_id": 19539, "sequence_id": 56, "annotations": []}
{"role": "student", "content": "k", "session_id": 19539, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "okay lets say that 5\u221a2 is our \"x\"", "session_id": 19539, "sequence_id": 58, "annotations": []}
{"role": "student", "content": "ok", "session_id": 19539, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "what would be the next leg of the triangle", "session_id": 19539, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "following the ration", "session_id": 19539, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "ratio*", "session_id": 19539, "sequence_id": 62, "annotations": []}
{"role": "student", "content": "x", "session_id": 19539, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "which is?", "session_id": 19539, "sequence_id": 64, "annotations": []}
{"role": "student", "content": "1", "session_id": 19539, "sequence_id": 65, "annotations": []}
{"role": "student", "content": "?", "session_id": 19539, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "no remember we said that our \"x\" we will set to 5\u221a2", "session_id": 19539, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "since this is one of our sidelengths", "session_id": 19539, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "that as given to us", "session_id": 19539, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "just think of it liek this", "session_id": 19539, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "the ratio just shows that if we had one side", "session_id": 19539, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "what would the other sides be in relation to that one side", "session_id": 19539, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "so if x was 3", "session_id": 19539, "sequence_id": 73, "annotations": []}
{"role": "student", "content": "the other side is 3", "session_id": 19539, "sequence_id": 74, "annotations": []}
{"role": "volunteer", "content": "the hypotenuse is 3\u221a3", "session_id": 19539, "sequence_id": 75, "annotations": []}
{"role": "student", "content": "right", "session_id": 19539, "sequence_id": 76, "annotations": []}
{"role": "student", "content": "oh", "session_id": 19539, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "no you are right", "session_id": 19539, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "the other leg is 3", "session_id": 19539, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "and the hypotenuse is oops", "session_id": 19539, "sequence_id": 80, "annotations": []}
{"role": "volunteer", "content": "3\u221a2 i mean", "session_id": 19539, "sequence_id": 81, "annotations": []}
{"role": "student", "content": "oh okay", "session_id": 19539, "sequence_id": 82, "annotations": []}
{"role": "volunteer", "content": "but yes you are correct!", "session_id": 19539, "sequence_id": 83, "annotations": []}
{"role": "volunteer", "content": "follow with me so far?", "session_id": 19539, "sequence_id": 84, "annotations": []}
{"role": "student", "content": "wait how did you get the 3 tho", "session_id": 19539, "sequence_id": 85, "annotations": []}
{"role": "volunteer", "content": "its just the side i started with", "session_id": 19539, "sequence_id": 86, "annotations": []}
{"role": "volunteer", "content": "the idea is that", "session_id": 19539, "sequence_id": 87, "annotations": []}
{"role": "volunteer", "content": "you can plug in any sidelength value for x", "session_id": 19539, "sequence_id": 88, "annotations": []}
{"role": "volunteer", "content": "and this rule can tell you what the other side lengths would be", "session_id": 19539, "sequence_id": 89, "annotations": []}
{"role": "volunteer", "content": "so IF x was 3", "session_id": 19539, "sequence_id": 90, "annotations": []}
{"role": "volunteer", "content": "the opposite side would also be 3", "session_id": 19539, "sequence_id": 91, "annotations": []}
{"role": "volunteer", "content": "and the hypotenuse would be 3\u221a2", "session_id": 19539, "sequence_id": 92, "annotations": []}
{"role": "volunteer", "content": "since its x\u221a2", "session_id": 19539, "sequence_id": 93, "annotations": []}
{"role": "volunteer", "content": "if x was 3", "session_id": 19539, "sequence_id": 94, "annotations": []}
{"role": "volunteer", "content": "its like a pattern", "session_id": 19539, "sequence_id": 95, "annotations": []}
{"role": "student", "content": "so then for my problem it would 5 for the other two sides?", "session_id": 19539, "sequence_id": 96, "annotations": []}
{"role": "volunteer", "content": "close!", "session_id": 19539, "sequence_id": 97, "annotations": []}
{"role": "volunteer", "content": "so first look at where your side 5\u221a2 is", "session_id": 19539, "sequence_id": 98, "annotations": []}
{"role": "volunteer", "content": "is it a leg or the hypotenuse?", "session_id": 19539, "sequence_id": 99, "annotations": []}
{"role": "student", "content": "leg right", "session_id": 19539, "sequence_id": 100, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 19539, "sequence_id": 101, "annotations": []}
{"role": "student", "content": "because Infront of the right angle is the hypotenuse", "session_id": 19539, "sequence_id": 102, "annotations": []}
{"role": "volunteer", "content": "so then would it be an \"x\" or an \"x\u221a2\"", "session_id": 19539, "sequence_id": 103, "annotations": []}
{"role": "volunteer", "content": "since its a leg", "session_id": 19539, "sequence_id": 104, "annotations": []}
{"role": "volunteer", "content": "not the hypotenuse", "session_id": 19539, "sequence_id": 105, "annotations": []}
{"role": "volunteer", "content": "?", "session_id": 19539, "sequence_id": 106, "annotations": []}
{"role": "student", "content": "an x", "session_id": 19539, "sequence_id": 107, "annotations": []}
{"role": "volunteer", "content": "perfect!", "session_id": 19539, "sequence_id": 108, "annotations": []}
{"role": "volunteer", "content": "okay so look below the triangles", "session_id": 19539, "sequence_id": 109, "annotations": []}
{"role": "volunteer", "content": "i set up the ratios next to eachother", "session_id": 19539, "sequence_id": 110, "annotations": []}
{"role": "volunteer", "content": "so if x = 5\u221a2", "session_id": 19539, "sequence_id": 111, "annotations": []}
{"role": "volunteer", "content": "the other side would be...", "session_id": 19539, "sequence_id": 112, "annotations": []}
{"role": "volunteer", "content": "?", "session_id": 19539, "sequence_id": 113, "annotations": []}
{"role": "student", "content": "5squareroot 3?", "session_id": 19539, "sequence_id": 114, "annotations": []}
{"role": "student", "content": "2", "session_id": 19539, "sequence_id": 115, "annotations": []}
{"role": "student", "content": "mb", "session_id": 19539, "sequence_id": 116, "annotations": []}
{"role": "volunteer", "content": "yes!", "session_id": 19539, "sequence_id": 117, "annotations": []}
{"role": "volunteer", "content": "the same value", "session_id": 19539, "sequence_id": 118, "annotations": []}
{"role": "volunteer", "content": "since they are both \"x\"", "session_id": 19539, "sequence_id": 119, "annotations": []}
{"role": "student", "content": "wait is it 5 quareroot 2 time 5 quareroot 2?", "session_id": 19539, "sequence_id": 120, "annotations": []}
{"role": "volunteer", "content": "lets look at that!", "session_id": 19539, "sequence_id": 121, "annotations": []}
{"role": "volunteer", "content": "okay so then, couldnt we also break 5\u221a2 down into 5 times \u221a2?", "session_id": 19539, "sequence_id": 122, "annotations": []}
{"role": "student", "content": "wait what happened to the 5 Infront of the 2?", "session_id": 19539, "sequence_id": 123, "annotations": []}
{"role": "volunteer", "content": "so when we say 5 root 2", "session_id": 19539, "sequence_id": 124, "annotations": []}
{"role": "volunteer", "content": "that just means 5 times root 2", "session_id": 19539, "sequence_id": 125, "annotations": []}
{"role": "volunteer", "content": "so i just seperated the 5 away", "session_id": 19539, "sequence_id": 126, "annotations": []}
{"role": "volunteer", "content": "so you can see its 5 TIMES root 2'", "session_id": 19539, "sequence_id": 127, "annotations": []}
{"role": "student", "content": "but isnt there two 5s?", "session_id": 19539, "sequence_id": 128, "annotations": []}
{"role": "volunteer", "content": "no not exactly", "session_id": 19539, "sequence_id": 129, "annotations": []}
{"role": "student", "content": "yeah look you put it here", "session_id": 19539, "sequence_id": 130, "annotations": []}
{"role": "volunteer", "content": "can you show me where?", "session_id": 19539, "sequence_id": 131, "annotations": []}
{"role": "volunteer", "content": "ooohhh", "session_id": 19539, "sequence_id": 132, "annotations": []}
{"role": "volunteer", "content": "okay so let me explain that", "session_id": 19539, "sequence_id": 133, "annotations": []}
{"role": "student", "content": "please", "session_id": 19539, "sequence_id": 134, "annotations": []}
{"role": "volunteer", "content": "we know that x = 5\u221a2 right", "session_id": 19539, "sequence_id": 135, "annotations": []}
{"role": "student", "content": "ok", "session_id": 19539, "sequence_id": 136, "annotations": []}
{"role": "volunteer", "content": "so to find the hypotenuse of this", "session_id": 19539, "sequence_id": 137, "annotations": []}
{"role": "volunteer", "content": "we dont need more than one x right?", "session_id": 19539, "sequence_id": 138, "annotations": []}
{"role": "student", "content": "ok", "session_id": 19539, "sequence_id": 139, "annotations": []}
{"role": "volunteer", "content": "since this is just 1x TIMES \u221a2", "session_id": 19539, "sequence_id": 140, "annotations": []}
{"role": "volunteer", "content": "and we have that 1x = 5\u221a2", "session_id": 19539, "sequence_id": 141, "annotations": []}
{"role": "volunteer", "content": "so we need to find (5\u221a2)(\u221a2)", "session_id": 19539, "sequence_id": 142, "annotations": []}
{"role": "volunteer", "content": "which is what we are doing right now", "session_id": 19539, "sequence_id": 143, "annotations": []}
{"role": "volunteer", "content": "!", "session_id": 19539, "sequence_id": 144, "annotations": []}
{"role": "volunteer", "content": "understand?", "session_id": 19539, "sequence_id": 145, "annotations": []}
{"role": "student", "content": "It makes makea bit", "session_id": 19539, "sequence_id": 146, "annotations": []}
{"role": "volunteer", "content": "alr lets continue then", "session_id": 19539, "sequence_id": 147, "annotations": []}
{"role": "volunteer", "content": "okay so we have that (5)(\u221a2) = 5\u221a2 right?", "session_id": 19539, "sequence_id": 148, "annotations": []}
{"role": "student", "content": "ok", "session_id": 19539, "sequence_id": 149, "annotations": []}
{"role": "volunteer", "content": "so when we are multiplying these together its the same as 5 times root 2 times root 2!", "session_id": 19539, "sequence_id": 150, "annotations": []}
{"role": "volunteer", "content": "right!", "session_id": 19539, "sequence_id": 151, "annotations": []}
{"role": "volunteer", "content": "?", "session_id": 19539, "sequence_id": 152, "annotations": []}
{"role": "student", "content": "ok", "session_id": 19539, "sequence_id": 153, "annotations": []}
{"role": "volunteer", "content": "so what does it mean when we multiply something by itself>", "session_id": 19539, "sequence_id": 154, "annotations": []}
{"role": "volunteer", "content": "squaring right?", "session_id": 19539, "sequence_id": 155, "annotations": []}
{"role": "volunteer", "content": "so \u221a2 times \u221a2 is equal to (\u221a2) squared!", "session_id": 19539, "sequence_id": 156, "annotations": []}
{"role": "volunteer", "content": "well the square here can cancel ou the sqaure root, since they are just opposites!", "session_id": 19539, "sequence_id": 157, "annotations": []}
{"role": "volunteer", "content": "right?", "session_id": 19539, "sequence_id": 158, "annotations": []}
{"role": "student", "content": "yes", "session_id": 19539, "sequence_id": 159, "annotations": []}
{"role": "volunteer", "content": "okay so then we are left with just 2 there", "session_id": 19539, "sequence_id": 160, "annotations": []}
{"role": "volunteer", "content": "then we still have to multiply by 5", "session_id": 19539, "sequence_id": 161, "annotations": []}
{"role": "volunteer", "content": "so whats 2 times 5", "session_id": 19539, "sequence_id": 162, "annotations": []}
{"role": "student", "content": "10", "session_id": 19539, "sequence_id": 163, "annotations": []}
{"role": "volunteer", "content": "yup!", "session_id": 19539, "sequence_id": 164, "annotations": []}
{"role": "volunteer", "content": "so that means that x\u221a2 is equal to 10", "session_id": 19539, "sequence_id": 165, "annotations": []}
{"role": "volunteer", "content": "so our hypotenuse is equal to 10!", "session_id": 19539, "sequence_id": 166, "annotations": []}
{"role": "student", "content": "and out lef is 5 root2", "session_id": 19539, "sequence_id": 167, "annotations": []}
{"role": "volunteer", "content": "perfect!", "session_id": 19539, "sequence_id": 168, "annotations": []}
{"role": "volunteer", "content": "just remember this can be much easier when the leg is an easy number like", "session_id": 19539, "sequence_id": 169, "annotations": []}
{"role": "volunteer", "content": "2", "session_id": 19539, "sequence_id": 170, "annotations": []}
{"role": "volunteer", "content": "jsut plain 2", "session_id": 19539, "sequence_id": 171, "annotations": []}
{"role": "volunteer", "content": "then if x = 2", "session_id": 19539, "sequence_id": 172, "annotations": []}
{"role": "volunteer", "content": "what would x\u221a2 be?", "session_id": 19539, "sequence_id": 173, "annotations": []}
{"role": "student", "content": "okay y", "session_id": 19539, "sequence_id": 174, "annotations": []}
{"role": "volunteer", "content": "hello?", "session_id": 19539, "sequence_id": 175, "annotations": []}
{"role": "student", "content": "would it be 2", "session_id": 19539, "sequence_id": 176, "annotations": []}
{"role": "volunteer", "content": "the other side length would be 2", "session_id": 19539, "sequence_id": 177, "annotations": []}
{"role": "volunteer", "content": "since its also x", "session_id": 19539, "sequence_id": 178, "annotations": []}
{"role": "volunteer", "content": "but what would x\u221a2 be", "session_id": 19539, "sequence_id": 179, "annotations": []}
{"role": "volunteer", "content": "this would be the hypotenuse", "session_id": 19539, "sequence_id": 180, "annotations": []}
{"role": "student", "content": "10", "session_id": 19539, "sequence_id": 181, "annotations": []}
{"role": "volunteer", "content": "no nice try tho", "session_id": 19539, "sequence_id": 182, "annotations": []}
{"role": "volunteer", "content": "it would just be 2\u221a2", "session_id": 19539, "sequence_id": 183, "annotations": []}
{"role": "volunteer", "content": "think about it", "session_id": 19539, "sequence_id": 184, "annotations": []}
{"role": "student", "content": "ohh", "session_id": 19539, "sequence_id": 185, "annotations": []}
{"role": "volunteer", "content": "if our leg was 2", "session_id": 19539, "sequence_id": 186, "annotations": []}
{"role": "volunteer", "content": "and we need to get that times \u221a2", "session_id": 19539, "sequence_id": 187, "annotations": []}
{"role": "volunteer", "content": "its just 2\u221a2!", "session_id": 19539, "sequence_id": 188, "annotations": []}
{"role": "volunteer", "content": "so this works for easier ones", "session_id": 19539, "sequence_id": 189, "annotations": []}
{"role": "volunteer", "content": "so you try", "session_id": 19539, "sequence_id": 190, "annotations": []}
{"role": "student", "content": "oh okayy", "session_id": 19539, "sequence_id": 191, "annotations": []}
{"role": "volunteer", "content": "what if our leg is 4?", "session_id": 19539, "sequence_id": 192, "annotations": []}
{"role": "volunteer", "content": "whats the other leg?", "session_id": 19539, "sequence_id": 193, "annotations": []}
{"role": "volunteer", "content": "and whats the hypotenuse?", "session_id": 19539, "sequence_id": 194, "annotations": []}
{"role": "student", "content": "4root2?", "session_id": 19539, "sequence_id": 195, "annotations": []}
{"role": "volunteer", "content": "yes thats the hypotenuse!", "session_id": 19539, "sequence_id": 196, "annotations": []}
{"role": "volunteer", "content": "what would the other leg be then?", "session_id": 19539, "sequence_id": 197, "annotations": []}
{"role": "volunteer", "content": "since its also x", "session_id": 19539, "sequence_id": 198, "annotations": []}
{"role": "student", "content": "4 root2", "session_id": 19539, "sequence_id": 199, "annotations": []}
{"role": "volunteer", "content": "no remember x is just 4 right", "session_id": 19539, "sequence_id": 200, "annotations": []}
{"role": "volunteer", "content": "since thats the 1st leg", "session_id": 19539, "sequence_id": 201, "annotations": []}
{"role": "student", "content": "so x is 4", "session_id": 19539, "sequence_id": 202, "annotations": []}
{"role": "volunteer", "content": "so the 2nd leg would also be x", "session_id": 19539, "sequence_id": 203, "annotations": []}
{"role": "volunteer", "content": "which is 4", "session_id": 19539, "sequence_id": 204, "annotations": []}
{"role": "volunteer", "content": "so both the legs are equal", "session_id": 19539, "sequence_id": 205, "annotations": []}
{"role": "volunteer", "content": "and the hypotenuse is x times \u221a2", "session_id": 19539, "sequence_id": 206, "annotations": []}
{"role": "volunteer", "content": "got it?", "session_id": 19539, "sequence_id": 207, "annotations": []}
{"role": "student", "content": "ohh okayy okayy", "session_id": 19539, "sequence_id": 208, "annotations": []}
{"role": "volunteer", "content": "alr i have to go now, but you can apply this same idea for the other type of triangle too", "session_id": 19539, "sequence_id": 209, "annotations": []}
{"role": "volunteer", "content": "its just", "session_id": 19539, "sequence_id": 210, "annotations": []}
{"role": "volunteer", "content": "find whatever side you have", "session_id": 19539, "sequence_id": 211, "annotations": []}
{"role": "volunteer", "content": "plug it into the diagram", "session_id": 19539, "sequence_id": 212, "annotations": []}
{"role": "volunteer", "content": "find out what x is", "session_id": 19539, "sequence_id": 213, "annotations": []}
{"role": "volunteer", "content": "and then use that to find the other sides", "session_id": 19539, "sequence_id": 214, "annotations": []}
{"role": "volunteer", "content": "best of luck!", "session_id": 19539, "sequence_id": 215, "annotations": []}
{"role": "student", "content": "wait", "session_id": 19539, "sequence_id": 216, "annotations": []}
{"role": "student", "content": "Hello", "session_id": 19595, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "Hello! I am Mark!", "session_id": 19595, "sequence_id": 1, "annotations": [{"pii_type": "PERSON", "surrogate": "Mark", "start": 12, "end": 16}]}
{"role": "student", "content": "My name is Liam", "session_id": 19595, "sequence_id": 2, "annotations": [{"pii_type": "PERSON", "surrogate": "Liam", "start": 11, "end": 15}]}
{"role": "student", "content": "Although it says i am Alex", "session_id": 19595, "sequence_id": 3, "annotations": [{"pii_type": "PERSON", "surrogate": "Alex", "start": 22, "end": 26}]}
{"role": "volunteer", "content": "Okay nice to meet you Liam!", "session_id": 19595, "sequence_id": 4, "annotations": [{"pii_type": "PERSON", "surrogate": "Liam", "start": 22, "end": 26}]}
{"role": "student", "content": "Elara is my mom", "session_id": 19595, "sequence_id": 5, "annotations": [{"pii_type": "PERSON", "surrogate": "Elara", "start": 0, "end": 5}]}
{"role": "volunteer", "content": "Okay!", "session_id": 19595, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "what do you need help with Liam?", "session_id": 19595, "sequence_id": 7, "annotations": [{"pii_type": "PERSON", "surrogate": "Liam", "start": 27, "end": 31}]}
{"role": "student", "content": "So can I send a picture", "session_id": 19595, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "yes you can upload a photo", "session_id": 19595, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "It is here", "session_id": 19595, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "nice!", "session_id": 19595, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "What question are you stuck on?", "session_id": 19595, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "or do you need a review?", "session_id": 19595, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "In 6 do we have to solve the exponent on 9 or do we leave it there", "session_id": 19595, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "And solve the p", "session_id": 19595, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "I think you have to solve the exponent!", "session_id": 19595, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "other than that, you are good!", "session_id": 19595, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "I asked this because pemdas", "session_id": 19595, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "Parentheses", "session_id": 19595, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "Exponents", "session_id": 19595, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "yes, but you cant add X and Y", "session_id": 19595, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "So", "session_id": 19595, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "so you have to multiply", "session_id": 19595, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "You do this", "session_id": 19595, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "but exponents come before multiplication", "session_id": 19595, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "so you are right!", "session_id": 19595, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "\u2026", "session_id": 19595, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "But aren\u2019t we supposed to solve the parentheses first the rule pemdas says we have to follow that", "session_id": 19595, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "Mark?", "session_id": 19595, "sequence_id": 29, "annotations": [{"pii_type": "PERSON", "surrogate": "Mark", "start": 0, "end": 4}]}
{"role": "volunteer", "content": "yes?", "session_id": 19595, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "What I said", "session_id": 19595, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "but the parenthesis is unsolvable further", "session_id": 19595, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "Pemdas", "session_id": 19595, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "it is in its most 'solved' state", "session_id": 19595, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "No", "session_id": 19595, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "You can multiply the 9^2 by X and y", "session_id": 19595, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "we don't know the values of x and y", "session_id": 19595, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "that is why we express it as x + y", "session_id": 19595, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "That becomes 9^2x and 9^2y", "session_id": 19595, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "\u2026", "session_id": 19595, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "\u2026", "session_id": 19595, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "\u2026", "session_id": 19595, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "\u2026", "session_id": 19595, "sequence_id": 43, "annotations": []}
{"role": "student", "content": "\u2026", "session_id": 19595, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "Mark", "session_id": 19595, "sequence_id": 45, "annotations": [{"pii_type": "PERSON", "surrogate": "Mark", "start": 0, "end": 4}]}
{"role": "volunteer", "content": "yes you are right!", "session_id": 19595, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "you can solve it that way too!", "session_id": 19595, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "how can you simplify this further though?", "session_id": 19595, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "But then we solve the e", "session_id": 19595, "sequence_id": 49, "annotations": []}
{"role": "student", "content": "81x and 81y", "session_id": 19595, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "yes that is right!", "session_id": 19595, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "good job!", "session_id": 19595, "sequence_id": 52, "annotations": []}
{"role": "student", "content": "And the sign is add", "session_id": 19595, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "yes that is the final answer!", "session_id": 19595, "sequence_id": 54, "annotations": []}
{"role": "student", "content": "I\u2019ve done this", "session_id": 19595, "sequence_id": 55, "annotations": []}
{"role": "student", "content": "I\u2019m in fourth almost sixth", "session_id": 19595, "sequence_id": 56, "annotations": [{"pii_type": "GRADE_LEVEL", "surrogate": "sixth", "start": 21, "end": 26}]}
{"role": "student", "content": "I do this a lot", "session_id": 19595, "sequence_id": 57, "annotations": []}
{"role": "student", "content": "In extra work", "session_id": 19595, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "nice practice helps you get so much better", "session_id": 19595, "sequence_id": 59, "annotations": []}
{"role": "student", "content": "From my mom", "session_id": 19595, "sequence_id": 60, "annotations": []}
{"role": "student", "content": "I like this site", "session_id": 19595, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": ":)", "session_id": 19595, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "should we move on to the next question?", "session_id": 19595, "sequence_id": 63, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 19595, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "okay!", "session_id": 19595, "sequence_id": 65, "annotations": []}
{"role": "student", "content": "Can you undo the other work", "session_id": 19595, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "what do you need help with?", "session_id": 19595, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "yeah sure", "session_id": 19595, "sequence_id": 68, "annotations": []}
{"role": "student", "content": "The next one is 12-8x", "session_id": 19595, "sequence_id": 69, "annotations": []}
{"role": "student", "content": "Good?", "session_id": 19595, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "that is correct!", "session_id": 19595, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "good job!", "session_id": 19595, "sequence_id": 72, "annotations": []}
{"role": "student", "content": "Does the exponent on ab count for both of the variables", "session_id": 19595, "sequence_id": 73, "annotations": []}
{"role": "student", "content": "Hello, I am, are you there?", "session_id": 19595, "sequence_id": 74, "annotations": []}
{"role": "student", "content": "I", "session_id": 19595, "sequence_id": 75, "annotations": []}
{"role": "student", "content": "I mean Mark", "session_id": 19595, "sequence_id": 76, "annotations": [{"pii_type": "PERSON", "surrogate": "Mark", "start": 7, "end": 11}]}
{"role": "student", "content": "This mic kind of bums me out", "session_id": 19595, "sequence_id": 77, "annotations": []}
{"role": "student", "content": "Mark?", "session_id": 19595, "sequence_id": 78, "annotations": [{"pii_type": "PERSON", "surrogate": "Mark", "start": 0, "end": 4}]}
{"role": "student", "content": "Hello?", "session_id": 19595, "sequence_id": 79, "annotations": []}
{"role": "student", "content": "Are you there", "session_id": 19595, "sequence_id": 80, "annotations": []}
{"role": "student", "content": "\u2026", "session_id": 19595, "sequence_id": 81, "annotations": []}
{"role": "student", "content": "\u2026", "session_id": 19595, "sequence_id": 82, "annotations": []}
{"role": "student", "content": "\u2026", "session_id": 19595, "sequence_id": 83, "annotations": []}
{"role": "student", "content": "\u2026", "session_id": 19595, "sequence_id": 84, "annotations": []}
{"role": "student", "content": "\u2026", "session_id": 19595, "sequence_id": 85, "annotations": []}
{"role": "student", "content": "\u2026", "session_id": 19595, "sequence_id": 86, "annotations": []}
{"role": "student", "content": "\u2026", "session_id": 19595, "sequence_id": 87, "annotations": []}
{"role": "student", "content": "\u2026", "session_id": 19595, "sequence_id": 88, "annotations": []}
{"role": "student", "content": "\u2026", "session_id": 19595, "sequence_id": 89, "annotations": []}
{"role": "student", "content": "\u2026\u2026\u2026", "session_id": 19595, "sequence_id": 90, "annotations": []}
{"role": "student", "content": "Hello!", "session_id": 19733, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "hello", "session_id": 19733, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "may you help me with this problem?", "session_id": 19733, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "I will try.", "session_id": 19733, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "ok", "session_id": 19733, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "This is what it looks like", "session_id": 19733, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "The question asks, ' Point Z is on EF such as that ratio of EZ to ZF is 2:3 on the coordinate grid shown. What are the coordinates of point Z?", "session_id": 19733, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "From what i've been taught, I'm supposed to add the two ratios, a/a+b", "session_id": 19733, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "Where is point F", "session_id": 19733, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "(5,3)", "session_id": 19733, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "and E is at (2,-2)", "session_id": 19733, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "I am not sure what you mean about adding the ratios.", "session_id": 19733, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "so I add the two ratios, and the dividend is the first ratio", "session_id": 19733, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "so 2/5 is the fraction", "session_id": 19733, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "ohhh", "session_id": 19733, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "I think that might be it.", "session_id": 19733, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "Yeah that looks right", "session_id": 19733, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "OK, actually it is late here, so I need to go.", "session_id": 19733, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "Oh no worries", "session_id": 19733, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "Thank you for the explanation tho!", "session_id": 19733, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "You are welcome.", "session_id": 19733, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "Have a good evening.", "session_id": 19733, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "Thank you you too", "session_id": 19733, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "im stuck on this equation ill write it out", "session_id": 19623, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 19623, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "now whay", "session_id": 19623, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "what*", "session_id": 19623, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "i was working on this with a past coach but they had to go and i was still confused", "session_id": 19623, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "past this part", "session_id": 19623, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "uhh", "session_id": 19623, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "is this the original problem", "session_id": 19623, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "or is this the version they simplified", "session_id": 19623, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "yepp", "session_id": 19623, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "i hve to simplify complex fractions", "session_id": 19623, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "circled in the red is the problem", "session_id": 19623, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 19623, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "so basically you can start by multiplying everything by xy", "session_id": 19623, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "im gonna write it on the board", "session_id": 19623, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "waiy", "session_id": 19623, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "the other parts are what the other coach did right", "session_id": 19623, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "kk", "session_id": 19623, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "did together", "session_id": 19623, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 19623, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "is it like", "session_id": 19623, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "a fucntion", "session_id": 19623, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "or is it just that", "session_id": 19623, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "idek im learning this befor school starts", "session_id": 19623, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "did they give u anything else tho", "session_id": 19623, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "cause if its not a function I think this is the most simplified verson", "session_id": 19623, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "Nope", "session_id": 19623, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "i just know i simplify", "session_id": 19623, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 19623, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "i dont get this", "session_id": 19623, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "u mean my work", "session_id": 19623, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "nvm Sarah", "session_id": 19623, "sequence_id": 31, "annotations": [{"pii_type": "PERSON", "surrogate": "Sarah", "start": 4, "end": 9}]}
{"role": "student", "content": "yeah i dont", "session_id": 19623, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "ok lemme write it out", "session_id": 19623, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "i dont under this", "session_id": 19623, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "\"xy\"", "session_id": 19623, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "why isn't it yx on the bottom", "session_id": 19623, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "its the same thing cause xy is just x multiplied by y", "session_id": 19623, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "this is confusing", "session_id": 19623, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "basically I just multiplied both the numerator and the denominator by xy", "session_id": 19623, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "oh ok i think i get it", "session_id": 19623, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 19623, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "is there anything else u need help with", "session_id": 19623, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "and it quals y+x/y-x?", "session_id": 19623, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "yea", "session_id": 19623, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "because", "session_id": 19623, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "if u just divide all the individual fractions", "session_id": 19623, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "kk", "session_id": 19623, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "that's the answer u get", "session_id": 19623, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "kk", "session_id": 19623, "sequence_id": 49, "annotations": []}
{"role": "student", "content": "can u heplp me with another equation", "session_id": 19623, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "yea sure", "session_id": 19623, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "do you want to erase everything on the board", "session_id": 19623, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "do u still need it", "session_id": 19623, "sequence_id": 53, "annotations": []}
{"role": "student", "content": "here", "session_id": 19623, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "is it root 50", "session_id": 19623, "sequence_id": 55, "annotations": []}
{"role": "student", "content": "mhm", "session_id": 19623, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 19623, "sequence_id": 57, "annotations": []}
{"role": "student", "content": "5(10)?", "session_id": 19623, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "2(25) is better", "session_id": 19623, "sequence_id": 59, "annotations": []}
{"role": "student", "content": "10 times 5 = 50", "session_id": 19623, "sequence_id": 60, "annotations": []}
{"role": "student", "content": "o", "session_id": 19623, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "cause 25 is a perfect square", "session_id": 19623, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "so the u can take the root of 25 and move it outside the square root", "session_id": 19623, "sequence_id": 63, "annotations": []}
{"role": "student", "content": "how do yk if anumber is a perfect square", "session_id": 19623, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "if a number is a perfect square it means its the result of a number multiplied by itself", "session_id": 19623, "sequence_id": 65, "annotations": []}
{"role": "student", "content": "5 square root 2", "session_id": 19623, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "you can't take 25 out because you have to take the root out of it", "session_id": 19623, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "the root of it", "session_id": 19623, "sequence_id": 68, "annotations": []}
{"role": "student", "content": "o", "session_id": 19623, "sequence_id": 69, "annotations": []}
{"role": "student", "content": "ive never solved this so i wouldnt know lol", "session_id": 19623, "sequence_id": 70, "annotations": []}
{"role": "student", "content": "so whats next", "session_id": 19623, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "then 5 root 2 is your answer", "session_id": 19623, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "because u can't take 2 out", "session_id": 19623, "sequence_id": 73, "annotations": []}
{"role": "student", "content": "oh i had that", "session_id": 19623, "sequence_id": 74, "annotations": []}
{"role": "student", "content": "i thoughtu said it was wrong", "session_id": 19623, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "I thought u wrote 25 root 2", "session_id": 19623, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "sorry", "session_id": 19623, "sequence_id": 77, "annotations": []}
{"role": "student", "content": "i did have that", "session_id": 19623, "sequence_id": 78, "annotations": []}
{"role": "student", "content": "and then i wrote = 5 root 2", "session_id": 19623, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "yea sorry", "session_id": 19623, "sequence_id": 80, "annotations": []}
{"role": "volunteer", "content": "I didnt see that", "session_id": 19623, "sequence_id": 81, "annotations": []}
{"role": "student", "content": "18 + 8", "session_id": 19623, "sequence_id": 82, "annotations": []}
{"role": "student", "content": "both square root", "session_id": 19623, "sequence_id": 83, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 19623, "sequence_id": 84, "annotations": []}
{"role": "volunteer", "content": "so you do the same thing with this problem", "session_id": 19623, "sequence_id": 85, "annotations": []}
{"role": "volunteer", "content": "you take the square out", "session_id": 19623, "sequence_id": 86, "annotations": []}
{"role": "student", "content": "8 turns into 4?", "session_id": 19623, "sequence_id": 87, "annotations": []}
{"role": "volunteer", "content": "yea so", "session_id": 19623, "sequence_id": 88, "annotations": []}
{"role": "student", "content": "oh  u write it as", "session_id": 19623, "sequence_id": 89, "annotations": []}
{"role": "student", "content": "18 suare 8", "session_id": 19623, "sequence_id": 90, "annotations": []}
{"role": "volunteer", "content": "its 2(4)", "session_id": 19623, "sequence_id": 91, "annotations": []}
{"role": "student", "content": "?", "session_id": 19623, "sequence_id": 92, "annotations": []}
{"role": "volunteer", "content": "you can take the root of 4 outside the equation", "session_id": 19623, "sequence_id": 93, "annotations": []}
{"role": "volunteer", "content": "do you get how to do that", "session_id": 19623, "sequence_id": 94, "annotations": []}
{"role": "student", "content": "can u show me it im a visual learner", "session_id": 19623, "sequence_id": 95, "annotations": []}
{"role": "volunteer", "content": "ok yea", "session_id": 19623, "sequence_id": 96, "annotations": []}
{"role": "student", "content": "i cant see past that my screen small", "session_id": 19623, "sequence_id": 97, "annotations": []}
{"role": "volunteer", "content": "oh", "session_id": 19623, "sequence_id": 98, "annotations": []}
{"role": "volunteer", "content": "which part", "session_id": 19623, "sequence_id": 99, "annotations": []}
{"role": "volunteer", "content": "all of it?", "session_id": 19623, "sequence_id": 100, "annotations": []}
{"role": "student", "content": "the side like with the square root (2)(2)", "session_id": 19623, "sequence_id": 101, "annotations": []}
{"role": "volunteer", "content": "oh", "session_id": 19623, "sequence_id": 102, "annotations": []}
{"role": "volunteer", "content": "its basically just 2 to the second power in parenthesis multiplied by two", "session_id": 19623, "sequence_id": 103, "annotations": []}
{"role": "volunteer", "content": "which is just equal to 8", "session_id": 19623, "sequence_id": 104, "annotations": []}
{"role": "student", "content": "so 18 square root 2?", "session_id": 19623, "sequence_id": 105, "annotations": []}
{"role": "volunteer", "content": "no", "session_id": 19623, "sequence_id": 106, "annotations": []}
{"role": "volunteer", "content": "is 2 outside the square root and 2 inside", "session_id": 19623, "sequence_id": 107, "annotations": []}
{"role": "volunteer", "content": "2 root r", "session_id": 19623, "sequence_id": 108, "annotations": []}
{"role": "volunteer", "content": "and then for the other one", "session_id": 19623, "sequence_id": 109, "annotations": []}
{"role": "volunteer", "content": "u might have to scroll down a bit", "session_id": 19623, "sequence_id": 110, "annotations": []}
{"role": "volunteer", "content": "I tried to make it bigger", "session_id": 19623, "sequence_id": 111, "annotations": []}
{"role": "student", "content": "answer is 5 square root 2", "session_id": 19623, "sequence_id": 112, "annotations": []}
{"role": "volunteer", "content": "yea", "session_id": 19623, "sequence_id": 113, "annotations": []}
{"role": "student", "content": "my screen is so zoomed in", "session_id": 19623, "sequence_id": 114, "annotations": []}
{"role": "student", "content": "for some reason", "session_id": 19623, "sequence_id": 115, "annotations": []}
{"role": "volunteer", "content": "oh", "session_id": 19623, "sequence_id": 116, "annotations": []}
{"role": "volunteer", "content": "yea mine too", "session_id": 19623, "sequence_id": 117, "annotations": []}
{"role": "volunteer", "content": "could you still read it", "session_id": 19623, "sequence_id": 118, "annotations": []}
{"role": "student", "content": "i need help w this", "session_id": 19623, "sequence_id": 119, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 19623, "sequence_id": 120, "annotations": []}
{"role": "student", "content": "3x4=12", "session_id": 19623, "sequence_id": 121, "annotations": []}
{"role": "volunteer", "content": "yea", "session_id": 19623, "sequence_id": 122, "annotations": []}
{"role": "volunteer", "content": "and then you can take the square root out", "session_id": 19623, "sequence_id": 123, "annotations": []}
{"role": "student", "content": "like this?", "session_id": 19623, "sequence_id": 124, "annotations": []}
{"role": "volunteer", "content": "uhh", "session_id": 19623, "sequence_id": 125, "annotations": []}
{"role": "volunteer", "content": "not quite", "session_id": 19623, "sequence_id": 126, "annotations": []}
{"role": "volunteer", "content": "here lemme write it", "session_id": 19623, "sequence_id": 127, "annotations": []}
{"role": "volunteer", "content": "the exponent two kinda cancels with the square root", "session_id": 19623, "sequence_id": 128, "annotations": []}
{"role": "volunteer", "content": "so you can take the two out", "session_id": 19623, "sequence_id": 129, "annotations": []}
{"role": "student", "content": "k", "session_id": 19623, "sequence_id": 130, "annotations": []}
{"role": "volunteer", "content": "wait", "session_id": 19623, "sequence_id": 131, "annotations": []}
{"role": "volunteer", "content": "is that a multiplication sign", "session_id": 19623, "sequence_id": 132, "annotations": []}
{"role": "student", "content": "anser is 36", "session_id": 19623, "sequence_id": 133, "annotations": []}
{"role": "volunteer", "content": "sorry wait", "session_id": 19623, "sequence_id": 134, "annotations": []}
{"role": "volunteer", "content": "I thought that was a addition sign", "session_id": 19623, "sequence_id": 135, "annotations": []}
{"role": "volunteer", "content": "is it multiplication", "session_id": 19623, "sequence_id": 136, "annotations": []}
{"role": "student", "content": "multiplication", "session_id": 19623, "sequence_id": 137, "annotations": []}
{"role": "student", "content": "mhm", "session_id": 19623, "sequence_id": 138, "annotations": []}
{"role": "volunteer", "content": "oh sorry I did it wrong then", "session_id": 19623, "sequence_id": 139, "annotations": []}
{"role": "volunteer", "content": "since its multiplication", "session_id": 19623, "sequence_id": 140, "annotations": []}
{"role": "volunteer", "content": "you just multiply the two numbers inside the square roots", "session_id": 19623, "sequence_id": 141, "annotations": []}
{"role": "volunteer", "content": "do you still need help", "session_id": 19623, "sequence_id": 142, "annotations": []}
{"role": "volunteer", "content": "I have to go for a bit", "session_id": 19623, "sequence_id": 143, "annotations": []}
{"role": "student", "content": "i have another one", "session_id": 19623, "sequence_id": 144, "annotations": []}
{"role": "student", "content": "but i can request a new session since u have to go", "session_id": 19623, "sequence_id": 145, "annotations": []}
{"role": "student", "content": "thanks in advance! :)", "session_id": 19623, "sequence_id": 146, "annotations": []}
{"role": "volunteer", "content": "Hello! How can I help you today?", "session_id": 19697, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "Hi! I am working on a confusing assignment about applications of quadratic formula and was to get some help answering the questions and getting a good overall understanding of  the topic. I can put the first question on the board if you would like.", "session_id": 19697, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "Okay.", "session_id": 19697, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "Alright, I will put the question up then, just one second please.", "session_id": 19697, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "Okay, can you see it at the top?", "session_id": 19697, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "Yes", "session_id": 19697, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "ok, do you mind if I move it to left a little so I can see the whole picture?", "session_id": 19697, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "No, go ahead.", "session_id": 19697, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "okay thanks!", "session_id": 19697, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "Okay, are you able to see the whole thing still?", "session_id": 19697, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "Yes.", "session_id": 19697, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "doke doke", "session_id": 19697, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "Do you have any idea what to do for the next steps or would you like me to show you?", "session_id": 19697, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "Well maybe we could subtract 56 from both sides for the first step", "session_id": 19697, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "Very good guess, but since T represents the time and h(t) is the height. We first have to plug in the 0 to replace h(t). Do you understand why?", "session_id": 19697, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "Not really, sorry", "session_id": 19697, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "Okay, for the problem, it requests for the time before the ball reaches the ground. Since h(t) is the height, t is the time, we would need to plug in \u201c0\u201d as to represent the ball on the ground and figure out the \u201ct\u201d value to find how many seconds it takes for it to reach \u201c0\u201d or the ground level. Does this clarify the question for you?", "session_id": 19697, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "oh yeah, thank you", "session_id": 19697, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "so to solve it we first plug in 0 for t but then wouldn't we get 0?", "session_id": 19697, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "Yes, there are more steps. We would have to plug \u201c0\u201d to h(t) since it represents the height.", "session_id": 19697, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "so we plug in 0 for h and t?", "session_id": 19697, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "No. You can look at the whiteboard if you want. I wrote down the steps.", "session_id": 19697, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "oh okay now I get it", "session_id": 19697, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "so then we subtract 56 from both sides?", "session_id": 19697, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "No. Since we don\u2019t know the value of T. We have to use application, or different methods to solve this.", "session_id": 19697, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "None of them are common terms so we can\u2019t subtract 56 due to the \u201ct\u201d value. Do you understand?", "session_id": 19697, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 19697, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "Very good. Do you know the next step?", "session_id": 19697, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "no", "session_id": 19697, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "Okay. We have to plug out the T so that the value of \u201c0\u201d would equal to t(-16t+56). The value T and (-16t+56) will separate into different factors. Do you understand?", "session_id": 19697, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "I will write this on the board as well.", "session_id": 19697, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "ok", "session_id": 19697, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "Do you see it?", "session_id": 19697, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "yes", "session_id": 19697, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "Do you have any questions? Or do you want to move to the next steps?", "session_id": 19697, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "we can move on", "session_id": 19697, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "Okay", "session_id": 19697, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "We have found one of the answer, which is 0. Now, we continue with rest of the equation.", "session_id": 19697, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "You can solve the equation I have written out, and I will be here to guide you if you need any help :)", "session_id": 19697, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "ok what do I plu gin for t to solve it though", "session_id": 19697, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "You would have to subtract 56 from 0.", "session_id": 19697, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "ok", "session_id": 19697, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "i got t = 3.5", "session_id": 19697, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "Very good. That\u2019s your answer!", "session_id": 19697, "sequence_id": 43, "annotations": []}
{"role": "student", "content": "okay, thank you!", "session_id": 19697, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "Okay. Have a good day!", "session_id": 19697, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "you too!", "session_id": 19697, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "hey, how are you?", "session_id": 19606, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "good and you", "session_id": 19606, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "doing great. What would you like help with?", "session_id": 19606, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "my math homework that I need to do I have two math homework assighmints", "session_id": 19606, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 19606, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "can you send some images?", "session_id": 19606, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "sure but I am on computer", "session_id": 19606, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "thats fine.whatever is best for you", "session_id": 19606, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "hold up sorry need to get on the camera", "session_id": 19606, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "that's fine", "session_id": 19606, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "that good", "session_id": 19606, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "could you zoom into it?", "session_id": 19606, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "what is that textbook called? maybe i have a copy?", "session_id": 19606, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "that good", "session_id": 19606, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "its alright but still blurry", "session_id": 19606, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "Saxon math student edition lesson 8 page 42,43", "session_id": 19606, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "do you?", "session_id": 19606, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "give me a second trying to find it", "session_id": 19606, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "I'm listening to music to focus", "session_id": 19606, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "thats ok i do that too", "session_id": 19606, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "I'll give you a second", "session_id": 19606, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "apreciate that", "session_id": 19606, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "is there a number on it like under the name?", "session_id": 19606, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "maybe like 5/6 or something like course 2?", "session_id": 19606, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "yes it's course one", "session_id": 19606, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "Found it!", "session_id": 19606, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "yes!!!", "session_id": 19606, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "Let's begin!", "session_id": 19606, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "ok", "session_id": 19606, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "question 1", "session_id": 19606, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "in written practise?", "session_id": 19606, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "yes", "session_id": 19606, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "it is lesson 8 page 42,43", "session_id": 19606, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "ok, how do you think you should start?", "session_id": 19606, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "reading what to do", "session_id": 19606, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "a useful tip is to find what the question is asking you to do and breaking it down", "session_id": 19606, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "could you do that and explain it to me?", "session_id": 19606, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "Don't mind the loudness.", "session_id": 19606, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "done?", "session_id": 19606, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "that's ok I can read your voice chat the noise won't bother me", "session_id": 19606, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "it says in a auditorium 25 rows  18 chairs in a row and asks how many chairs in the auditorium", "session_id": 19606, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "yes thats right", "session_id": 19606, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "but how would you calculate it?", "session_id": 19606, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "I'm reading it but it doesn't give clues if its add subtract divide or multiply", "session_id": 19606, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "hmmmm I see", "session_id": 19606, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "in this case you should try to imagine the situation to decide", "session_id": 19606, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "if there is 25 rows  and 18 chairs in a row I believe to add hmm if I'm wrong its alright", "session_id": 19606, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "very close! but not quite right", "session_id": 19606, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "think: if there is one row with 18 chairs and that is one row. Then there are 25 rows meaning there are 18 chairs 25 times what would it be?", "session_id": 19606, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "multiply?", "session_id": 19606, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "Great job!", "session_id": 19606, "sequence_id": 50, "annotations": []}
{"role": "student", "content": "cause you said times in your sentence", "session_id": 19606, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "yeah i guess but could you still imagine the situation and come to that answer?", "session_id": 19606, "sequence_id": 52, "annotations": []}
{"role": "student", "content": "yes", "session_id": 19606, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "thats excellent", "session_id": 19606, "sequence_id": 54, "annotations": []}
{"role": "student", "content": "so I know 18 x 25", "session_id": 19606, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 19606, "sequence_id": 56, "annotations": []}
{"role": "student", "content": "I multiplied and 450", "session_id": 19606, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "thats correct good job!", "session_id": 19606, "sequence_id": 58, "annotations": []}
{"role": "student", "content": "yay", "session_id": 19606, "sequence_id": 59, "annotations": []}
{"role": "student", "content": "question 2", "session_id": 19606, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "just a quick question - how many question were you aiming to get through right now?", "session_id": 19606, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "*questions", "session_id": 19606, "sequence_id": 62, "annotations": []}
{"role": "student", "content": "maybe to sixteen if its ok to you or if you have to leave soon", "session_id": 19606, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "Let's do it", "session_id": 19606, "sequence_id": 64, "annotations": []}
{"role": "student", "content": "ok", "session_id": 19606, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "Ok Question 2? How should we start?", "session_id": 19606, "sequence_id": 66, "annotations": []}
{"role": "student", "content": "it says sixth graders collected 765 cans of food for a food pantry last year and this year collected 1750 and it says fewer so I would think 1750-765", "session_id": 19606, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "that's absolutely correct!", "session_id": 19606, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "So what is the final answer?", "session_id": 19606, "sequence_id": 69, "annotations": []}
{"role": "student", "content": "and I calculated 985", "session_id": 19606, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "correct!", "session_id": 19606, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "onto question 3", "session_id": 19606, "sequence_id": 72, "annotations": []}
{"role": "student", "content": "oh first try", "session_id": 19606, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "yeah you're really smart!", "session_id": 19606, "sequence_id": 74, "annotations": []}
{"role": "student", "content": "thank you", "session_id": 19606, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "ofc", "session_id": 19606, "sequence_id": 76, "annotations": []}
{"role": "student", "content": "it says a basket ball is made-up of five players  suppose there 140 players signed up for a tournament  and it says per so maybe multiply", "session_id": 19606, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "ohh close try again", "session_id": 19606, "sequence_id": 78, "annotations": []}
{"role": "student", "content": "um add", "session_id": 19606, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "if the total 140 and one team is 5 how many teams can u make?", "session_id": 19606, "sequence_id": 80, "annotations": []}
{"role": "student", "content": "is it add", "session_id": 19606, "sequence_id": 81, "annotations": []}
{"role": "volunteer", "content": "how many groups of 5 can you take out?", "session_id": 19606, "sequence_id": 82, "annotations": []}
{"role": "volunteer", "content": "its not add", "session_id": 19606, "sequence_id": 83, "annotations": []}
{"role": "student", "content": "oh you said take out so subtract", "session_id": 19606, "sequence_id": 84, "annotations": []}
{"role": "volunteer", "content": "no", "session_id": 19606, "sequence_id": 85, "annotations": []}
{"role": "volunteer", "content": "it's actually divide because you are making groups of a total", "session_id": 19606, "sequence_id": 86, "annotations": []}
{"role": "student", "content": "I make mistakes the last thinking is divide", "session_id": 19606, "sequence_id": 87, "annotations": []}
{"role": "volunteer", "content": "that's perfectly fine", "session_id": 19606, "sequence_id": 88, "annotations": []}
{"role": "volunteer", "content": "so what would the answer be?", "session_id": 19606, "sequence_id": 89, "annotations": []}
{"role": "student", "content": "so divide 140 by 5", "session_id": 19606, "sequence_id": 90, "annotations": []}
{"role": "volunteer", "content": "yes correct", "session_id": 19606, "sequence_id": 91, "annotations": []}
{"role": "student", "content": "wait does 14 fit in 5", "session_id": 19606, "sequence_id": 92, "annotations": []}
{"role": "volunteer", "content": "no not perfectly", "session_id": 19606, "sequence_id": 93, "annotations": []}
{"role": "student", "content": "hmm I got zero I know its wrong", "session_id": 19606, "sequence_id": 94, "annotations": []}
{"role": "volunteer", "content": "so how many times can 5 go into 14?", "session_id": 19606, "sequence_id": 95, "annotations": []}
{"role": "student", "content": "oh 3", "session_id": 19606, "sequence_id": 96, "annotations": []}
{"role": "volunteer", "content": "wait a minute you sure?", "session_id": 19606, "sequence_id": 97, "annotations": []}
{"role": "student", "content": "cause 15 is the closest number to 14", "session_id": 19606, "sequence_id": 98, "annotations": []}
{"role": "volunteer", "content": "but its more than 14", "session_id": 19606, "sequence_id": 99, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 19606, "sequence_id": 100, "annotations": []}
{"role": "student", "content": "oh ok", "session_id": 19606, "sequence_id": 101, "annotations": []}
{"role": "volunteer", "content": "so what woudl it be?", "session_id": 19606, "sequence_id": 102, "annotations": []}
{"role": "student", "content": "can you look the board and see", "session_id": 19606, "sequence_id": 103, "annotations": []}
{"role": "student", "content": "oh I see", "session_id": 19606, "sequence_id": 104, "annotations": []}
{"role": "volunteer", "content": "yep so what would the answer be then?", "session_id": 19606, "sequence_id": 105, "annotations": []}
{"role": "student", "content": "divide multiply, bring down and reapeat", "session_id": 19606, "sequence_id": 106, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 19606, "sequence_id": 107, "annotations": []}
{"role": "student", "content": "40", "session_id": 19606, "sequence_id": 108, "annotations": []}
{"role": "student", "content": "?", "session_id": 19606, "sequence_id": 109, "annotations": []}
{"role": "volunteer", "content": "and then how many 5s go into 40?", "session_id": 19606, "sequence_id": 110, "annotations": []}
{"role": "student", "content": "10", "session_id": 19606, "sequence_id": 111, "annotations": []}
{"role": "student", "content": "?", "session_id": 19606, "sequence_id": 112, "annotations": []}
{"role": "volunteer", "content": "that would be 50 its less tan 10", "session_id": 19606, "sequence_id": 113, "annotations": []}
{"role": "student", "content": "oh I I counted wrong its 8", "session_id": 19606, "sequence_id": 114, "annotations": []}
{"role": "volunteer", "content": "thats right! so what is the final answer now?", "session_id": 19606, "sequence_id": 115, "annotations": []}
{"role": "student", "content": "8", "session_id": 19606, "sequence_id": 116, "annotations": []}
{"role": "volunteer", "content": "hold on hat about the two from the 14?", "session_id": 19606, "sequence_id": 117, "annotations": []}
{"role": "student", "content": "oh remainder 28", "session_id": 19606, "sequence_id": 118, "annotations": []}
{"role": "student", "content": "remainder is 8", "session_id": 19606, "sequence_id": 119, "annotations": []}
{"role": "volunteer", "content": "the remainder is actually 0, answer is 28 but thats right", "session_id": 19606, "sequence_id": 120, "annotations": []}
{"role": "student", "content": "whole thing is 28", "session_id": 19606, "sequence_id": 121, "annotations": []}
{"role": "volunteer", "content": "yes correct", "session_id": 19606, "sequence_id": 122, "annotations": []}
{"role": "student", "content": "question 4?", "session_id": 19606, "sequence_id": 123, "annotations": []}
{"role": "volunteer", "content": "hey it turns out im quite short on time. I unfortunately have to go after we complete the next question. Is that alright?", "session_id": 19606, "sequence_id": 124, "annotations": []}
{"role": "volunteer", "content": "well do question 4 tho", "session_id": 19606, "sequence_id": 125, "annotations": []}
{"role": "student", "content": "ok", "session_id": 19606, "sequence_id": 126, "annotations": []}
{"role": "student", "content": "it asks what the perimater of the triangle", "session_id": 19606, "sequence_id": 127, "annotations": []}
{"role": "volunteer", "content": "yes do you know what the perimeter is?", "session_id": 19606, "sequence_id": 128, "annotations": []}
{"role": "student", "content": "no but it gives the millimeters", "session_id": 19606, "sequence_id": 129, "annotations": []}
{"role": "volunteer", "content": "ok lets go over that first you are correct that the answer is in mm", "session_id": 19606, "sequence_id": 130, "annotations": []}
{"role": "volunteer", "content": "so the perimeter is the sum of all the sides of a shape", "session_id": 19606, "sequence_id": 131, "annotations": []}
{"role": "student", "content": "ok", "session_id": 19606, "sequence_id": 132, "annotations": []}
{"role": "volunteer", "content": "can u calculate that?", "session_id": 19606, "sequence_id": 133, "annotations": []}
{"role": "student", "content": "so calculate 20mm 15mm 25mm", "session_id": 19606, "sequence_id": 134, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 19606, "sequence_id": 135, "annotations": []}
{"role": "student", "content": "hmm I learned to add", "session_id": 19606, "sequence_id": 136, "annotations": []}
{"role": "volunteer", "content": "yes thats right", "session_id": 19606, "sequence_id": 137, "annotations": []}
{"role": "student", "content": "in mm", "session_id": 19606, "sequence_id": 138, "annotations": []}
{"role": "volunteer", "content": "sum = add", "session_id": 19606, "sequence_id": 139, "annotations": []}
{"role": "student", "content": "so what I got is 60mm", "session_id": 19606, "sequence_id": 140, "annotations": []}
{"role": "volunteer", "content": "thats right! Great job!", "session_id": 19606, "sequence_id": 141, "annotations": []}
{"role": "student", "content": "oh right you have to go", "session_id": 19606, "sequence_id": 142, "annotations": []}
{"role": "student", "content": "so bye and thank you", "session_id": 19606, "sequence_id": 143, "annotations": []}
{"role": "volunteer", "content": "Ok, unfortunately I got to go now. You got this.", "session_id": 19606, "sequence_id": 144, "annotations": []}
{"role": "volunteer", "content": "bye bye", "session_id": 19606, "sequence_id": 145, "annotations": []}
{"role": "student", "content": "Hiiiii", "session_id": 19736, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "Hello!", "session_id": 19736, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "How can I help you today?", "session_id": 19736, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "I have a question about factoring polynomials", "session_id": 19736, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "Of course!", "session_id": 19736, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "how do we factor polynomials with higer degrees/exponets", "session_id": 19736, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "Wait... there are a few different ways to do these", "session_id": 19736, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "okk", "session_id": 19736, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "basically, for things with a degree of 3 there are sum/difference of cubes we can look out for", "session_id": 19736, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "Wait while I'm explaining this, did you have any specific questions in mind", "session_id": 19736, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "would this apply for even higher degrees like the 5th power?", "session_id": 19736, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "No, but the sum/difference of cubes is really useful knowledge to have (memorizing it saved me a lot in one unit of algebra two) that and the sum/diff of squares (which is more helpful)", "session_id": 19736, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "okkkk", "session_id": 19736, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "for higher powers, simplifying/factoring is really about finding the greatest common multiple", "session_id": 19736, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "ohhhhhh ok", "session_id": 19736, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "So 5x^5 + 10x^4 would factor out to 5x^4(x-2)", "session_id": 19736, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "There's another cool case I'll show on the board", "session_id": 19736, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "Alex", "session_id": 19736, "sequence_id": 17, "annotations": [{"pii_type": "PERSON", "surrogate": "Alex", "start": 0, "end": 4}]}
{"role": "volunteer", "content": "Sometimes, you can look at the ratios of the coefficients to simplify", "session_id": 19736, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "This is called simplifying by grouping", "session_id": 19736, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "yes i recall this", "session_id": 19736, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "did what I show make sense?", "session_id": 19736, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "I am stuck still on the power of 5 part. How does that part work. I get the rest", "session_id": 19736, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "You can probably also use synthetic division for higher powers (but i'm out of practice with it, so I wouldn't be able to explain it", "session_id": 19736, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "Wait... the power of five at the top?", "session_id": 19736, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "Or just in general?", "session_id": 19736, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "the power of 5, how did you get rid of it. with the 6? is that a 6 at the denominator?", "session_id": 19736, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "oh, where I pointed in red?", "session_id": 19736, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "yes", "session_id": 19736, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "I am sorry i am just stuck on that part", "session_id": 19736, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "that is supposed to say gcm: x^4", "session_id": 19736, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "It's okay!", "session_id": 19736, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "ohhhh", "session_id": 19736, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "did that make more sense?", "session_id": 19736, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 19736, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "Yay! Is there anything else you'd like me to explain?", "session_id": 19736, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "Can i show a sample problem?", "session_id": 19736, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "Of course!", "session_id": 19736, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "ok", "session_id": 19736, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "x^5 + 11x^3 -80x", "session_id": 19736, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "Does this make sense?", "session_id": 19736, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "yes", "session_id": 19736, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "You can basically factor the x^4 the same as x^2, you just need to make the xs x^2s", "session_id": 19736, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "Oh okk got itt", "session_id": 19736, "sequence_id": 43, "annotations": []}
{"role": "student", "content": "that makes more sense knowing that", "session_id": 19736, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "Yay!", "session_id": 19736, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "okkkkk", "session_id": 19736, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "Thank youu", "session_id": 19736, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "Of course!", "session_id": 19736, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "Do you have anything else you want to go over?", "session_id": 19736, "sequence_id": 49, "annotations": []}
{"role": "student", "content": "for now no", "session_id": 19736, "sequence_id": 50, "annotations": []}
{"role": "student", "content": "this is all", "session_id": 19736, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "Okay!", "session_id": 19736, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "Goodbye then!", "session_id": 19736, "sequence_id": 53, "annotations": []}
{"role": "student", "content": "byee", "session_id": 19736, "sequence_id": 54, "annotations": []}
{"role": "student", "content": "hi", "session_id": 19832, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "Hello", "session_id": 19832, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "Hi", "session_id": 19832, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "Um", "session_id": 19832, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "I need to make on an assignment, um, just real quick, um, can you please unmute it a bit easier for me to understand things when I'm talking to someone and it's a bit hard to like be beyond what I'm having to do and then like switch tabs to go ahead and like look at what you're typing.", "session_id": 19832, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "ok sure", "session_id": 19832, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "lemme know if my mics works", "session_id": 19832, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "Thank you.", "session_id": 19832, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "OK", "session_id": 19832, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "Hello, can you hear me", "session_id": 19832, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "Hello?", "session_id": 19832, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "I, I don't hear you.", "session_id": 19832, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "Oh what", "session_id": 19832, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "Don't hear me?", "session_id": 19832, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "Oh yeah, now I do", "session_id": 19832, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "OK.", "session_id": 19832, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "So what do you need help with?", "session_id": 19832, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "OK. Um", "session_id": 19832, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "I need help with this. My the other tutor that was before you, she helped me out for a good like half hour and she had to go do something.", "session_id": 19832, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 19832, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "I need help working through this stuff.", "session_id": 19832, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "Mm", "session_id": 19832, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "All right. So are you", "session_id": 19832, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "What they mean number the club.", "session_id": 19832, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "are you stuck on this question or?", "session_id": 19832, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "Um, no, it's mainly so that if I get stuck, you can give me like a helping hand and so you can like give help me understand things a bit better.", "session_id": 19832, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "Oh, OK.", "session_id": 19832, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "If you cannot do that, that's fine. I'll.", "session_id": 19832, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "just try and work on this by myself.", "session_id": 19832, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "OK.", "session_id": 19832, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "I have a bit of a better understanding about this stuff because of the past tutor, um, named a number that is an integer but not a whole number integers or none that go from 0 and both times.", "session_id": 19832, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "One give an example of an irrational number that was that.", "session_id": 19832, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "irrational numbers or numbers that cannot be expressed as a fraction and go on infinitely.", "session_id": 19832, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "OK, um", "session_id": 19832, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "um, hey, question", "session_id": 19832, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "Yes", "session_id": 19832, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "Do you know how to type in the pie symbol", "session_id": 19832, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "OK, I'm gonna try to do that.", "session_id": 19832, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "Moy place.", "session_id": 19832, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "OK, so it did not wanna do it, so I guess", "session_id": 19832, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "I'm gonna use to 18 PI given an example of a rational number.", "session_id": 19832, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "rational number.", "session_id": 19832, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "or the numbers that", "session_id": 19832, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "that can be presented as a fraction.", "session_id": 19832, "sequence_id": 43, "annotations": []}
{"role": "student", "content": "decibel like decimal. OK, so I can just do one that", "session_id": 19832, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "33, 30, 33, 33.", "session_id": 19832, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "That's irrational", "session_id": 19832, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "All will not or all real numbers, rational", "session_id": 19832, "sequence_id": 47, "annotations": []}
{"role": "student", "content": "real numbers are a mix of rational and irrational numbers.", "session_id": 19832, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "or not", "session_id": 19832, "sequence_id": 49, "annotations": []}
{"role": "student", "content": "Then after I answer these last, these last two questions. I got, I need, I'm gonna need help on a quiz", "session_id": 19832, "sequence_id": 50, "annotations": []}
{"role": "student", "content": "Um, this ain't even actual work. This is your's practice.", "session_id": 19832, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "E A E T.", "session_id": 19832, "sequence_id": 52, "annotations": []}
{"role": "student", "content": "E A E T", "session_id": 19832, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "OK, yeah, I can help you. Um,", "session_id": 19832, "sequence_id": 54, "annotations": []}
{"role": "student", "content": "000, all natural numbers, whole numbers", "session_id": 19832, "sequence_id": 55, "annotations": []}
{"role": "student", "content": "OK, um", "session_id": 19832, "sequence_id": 56, "annotations": []}
{"role": "student", "content": "actual number", "session_id": 19832, "sequence_id": 57, "annotations": []}
{"role": "student", "content": "natural numbers are numbers that are common, so common numbers.", "session_id": 19832, "sequence_id": 58, "annotations": []}
{"role": "student", "content": "poll numbers are 0 and up with the decibels, so that is a yes.", "session_id": 19832, "sequence_id": 59, "annotations": []}
{"role": "student", "content": "but now", "session_id": 19832, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "i cant hear you for some reason", "session_id": 19832, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "Hello can you hear now", "session_id": 19832, "sequence_id": 62, "annotations": []}
{"role": "student", "content": "And.", "session_id": 19832, "sequence_id": 63, "annotations": []}
{"role": "student", "content": "For all fractions irrational numbers.", "session_id": 19832, "sequence_id": 64, "annotations": []}
{"role": "student", "content": "That's a no", "session_id": 19832, "sequence_id": 65, "annotations": []}
{"role": "student", "content": "because irrational numbers cannot be expressed as a fraction.", "session_id": 19832, "sequence_id": 66, "annotations": []}
{"role": "student", "content": "OK", "session_id": 19832, "sequence_id": 67, "annotations": []}
{"role": "student", "content": "Yeah.", "session_id": 19832, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "I", "session_id": 19832, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "I", "session_id": 19832, "sequence_id": 70, "annotations": []}
{"role": "student", "content": "OK, so the thing is clear.", "session_id": 19832, "sequence_id": 71, "annotations": []}
{"role": "student", "content": "What was that noise", "session_id": 19832, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "It was just my chair", "session_id": 19832, "sequence_id": 73, "annotations": []}
{"role": "student", "content": "OK", "session_id": 19832, "sequence_id": 74, "annotations": []}
{"role": "student", "content": "To submit, begin.", "session_id": 19832, "sequence_id": 75, "annotations": []}
{"role": "student", "content": "It's only 10 points. You cannot be that bad.", "session_id": 19832, "sequence_id": 76, "annotations": []}
{"role": "student", "content": "Tell me two questions.", "session_id": 19832, "sequence_id": 77, "annotations": []}
{"role": "student", "content": "What are the following is a rational number.", "session_id": 19832, "sequence_id": 78, "annotations": []}
{"role": "student", "content": "Rational number", "session_id": 19832, "sequence_id": 79, "annotations": []}
{"role": "student", "content": "s or numbers that can be represented as a fraction", "session_id": 19832, "sequence_id": 80, "annotations": []}
{"role": "student", "content": "numbers that", "session_id": 19832, "sequence_id": 81, "annotations": []}
{"role": "student", "content": "and repeat was repeating decibels and terminating decibels.", "session_id": 19832, "sequence_id": 82, "annotations": []}
{"role": "student", "content": "that can be represented as a fraction.", "session_id": 19832, "sequence_id": 83, "annotations": []}
{"role": "student", "content": "so", "session_id": 19832, "sequence_id": 84, "annotations": []}
{"role": "student", "content": "that", "session_id": 19832, "sequence_id": 85, "annotations": []}
{"role": "student", "content": "negative", "session_id": 19832, "sequence_id": 86, "annotations": []}
{"role": "student", "content": "I want", "session_id": 19832, "sequence_id": 87, "annotations": []}
{"role": "volunteer", "content": "Hi, Ben uh sorry to interrupt, but I can't see your screen.", "session_id": 19832, "sequence_id": 88, "annotations": [{"pii_type": "PERSON", "surrogate": "Ben", "start": 4, "end": 7}]}
{"role": "student", "content": "You can't see my, oh God.", "session_id": 19832, "sequence_id": 89, "annotations": []}
{"role": "student", "content": "let's just go ahead and do", "session_id": 19832, "sequence_id": 90, "annotations": []}
{"role": "student", "content": "microscope", "session_id": 19832, "sequence_id": 91, "annotations": []}
{"role": "student", "content": "OK", "session_id": 19832, "sequence_id": 92, "annotations": []}
{"role": "student", "content": "OK. My bad. I, I completely forgot. So rational numbers are numbers that can be represented as a fraction, fractional numbers.", "session_id": 19832, "sequence_id": 93, "annotations": []}
{"role": "student", "content": "are repeating das and terminating decibels.", "session_id": 19832, "sequence_id": 94, "annotations": []}
{"role": "student", "content": "So that's a fraction.", "session_id": 19832, "sequence_id": 95, "annotations": []}
{"role": "student", "content": "So it square root of 16 is next.", "session_id": 19832, "sequence_id": 96, "annotations": []}
{"role": "student", "content": "The root of 6.", "session_id": 19832, "sequence_id": 97, "annotations": []}
{"role": "student", "content": "is for", "session_id": 19832, "sequence_id": 98, "annotations": []}
{"role": "student", "content": "so 17.59.", "session_id": 19832, "sequence_id": 99, "annotations": []}
{"role": "student", "content": "58", "session_id": 19832, "sequence_id": 100, "annotations": []}
{"role": "student", "content": "use a fraction", "session_id": 19832, "sequence_id": 101, "annotations": []}
{"role": "student", "content": "I'm not seeing any other things that can be represented as a fraction. That's a um er that's a irrational number.", "session_id": 19832, "sequence_id": 102, "annotations": []}
{"role": "student", "content": "It's natural.", "session_id": 19832, "sequence_id": 103, "annotations": []}
{"role": "student", "content": "your rational", "session_id": 19832, "sequence_id": 104, "annotations": []}
{"role": "student", "content": "Did I miss.", "session_id": 19832, "sequence_id": 105, "annotations": []}
{"role": "student", "content": "5. I forgot to write about irrational.", "session_id": 19832, "sequence_id": 106, "annotations": []}
{"role": "student", "content": "I find that real quick.", "session_id": 19832, "sequence_id": 107, "annotations": []}
{"role": "volunteer", "content": "Yeah, go ahead", "session_id": 19832, "sequence_id": 108, "annotations": []}
{"role": "student", "content": "I, I completely forgot about the irrational numbers.", "session_id": 19832, "sequence_id": 109, "annotations": []}
{"role": "student", "content": "With no, why?", "session_id": 19832, "sequence_id": 110, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 19832, "sequence_id": 111, "annotations": []}
{"role": "student", "content": "no, no, I, I did not. I did not, um, let me just", "session_id": 19832, "sequence_id": 112, "annotations": []}
{"role": "student", "content": "distinguish them.", "session_id": 19832, "sequence_id": 113, "annotations": []}
{"role": "student", "content": "with, with the", "session_id": 19832, "sequence_id": 114, "annotations": []}
{"role": "student", "content": "9", "session_id": 19832, "sequence_id": 115, "annotations": []}
{"role": "student", "content": "OK, now that should make things a lot clearer.", "session_id": 19832, "sequence_id": 116, "annotations": []}
{"role": "student", "content": "OK, irrational numbers or numbers that cannot be expressed as a fraction and go on infinitely", "session_id": 19832, "sequence_id": 117, "annotations": []}
{"role": "student", "content": "rational on the numbers that can be represented fraction.", "session_id": 19832, "sequence_id": 118, "annotations": []}
{"role": "student", "content": "So let's do that represented as a fraction", "session_id": 19832, "sequence_id": 119, "annotations": []}
{"role": "student", "content": "Let's do 21, 21.", "session_id": 19832, "sequence_id": 120, "annotations": []}
{"role": "student", "content": "Nope, that is a", "session_id": 19832, "sequence_id": 121, "annotations": []}
{"role": "student", "content": "that is a um what's called", "session_id": 19832, "sequence_id": 122, "annotations": []}
{"role": "student", "content": "that's entered yours I get to 21 is an integer high is irrational, that's irrational, and the square root of 16.", "session_id": 19832, "sequence_id": 123, "annotations": []}
{"role": "student", "content": "is a", "session_id": 19832, "sequence_id": 124, "annotations": []}
{"role": "student", "content": "whole at natural number.", "session_id": 19832, "sequence_id": 125, "annotations": []}
{"role": "student", "content": "So those are the only two ear rash waters.", "session_id": 19832, "sequence_id": 126, "annotations": []}
{"role": "volunteer", "content": "Oh, wait, wait. Can you go back?", "session_id": 19832, "sequence_id": 127, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 19832, "sequence_id": 128, "annotations": []}
{"role": "volunteer", "content": "There's still more because", "session_id": 19832, "sequence_id": 129, "annotations": []}
{"role": "volunteer", "content": "remember integers and whole numbers, they also count as rational numbers, because they could be expressed", "session_id": 19832, "sequence_id": 130, "annotations": []}
{"role": "volunteer", "content": "as a fraction", "session_id": 19832, "sequence_id": 131, "annotations": []}
{"role": "student", "content": "Integers or decibels, numbers that go from 0 to both sides.", "session_id": 19832, "sequence_id": 132, "annotations": []}
{"role": "student", "content": "Those are the only two that can be expressed as a fraction.", "session_id": 19832, "sequence_id": 133, "annotations": []}
{"role": "volunteer", "content": "Yes, but think about um 21. We could say Ben could be considered a fraction, so 21 is also a rational number", "session_id": 19832, "sequence_id": 134, "annotations": [{"pii_type": "PERSON", "surrogate": "Ben", "start": 41, "end": 44}]}
{"role": "student", "content": "It", "session_id": 19832, "sequence_id": 135, "annotations": []}
{"role": "student", "content": "OK, one second. rational numbers that are numbers that can be represented as a fraction.", "session_id": 19832, "sequence_id": 136, "annotations": []}
{"role": "student", "content": "One sec, let me go to the actual definition. OK, rational numbers and numbers that can be represented as a fraction, including", "session_id": 19832, "sequence_id": 137, "annotations": []}
{"role": "student", "content": "fractions integers and terminating decibels.", "session_id": 19832, "sequence_id": 138, "annotations": []}
{"role": "student", "content": "You know, from the teacher, from what the teacher said, the rational numbers can only be written as fractions. So from the teacher's standpoint, these are correct.", "session_id": 19832, "sequence_id": 139, "annotations": []}
{"role": "volunteer", "content": "All right, if you say so.", "session_id": 19832, "sequence_id": 140, "annotations": []}
{"role": "student", "content": "Well", "session_id": 19832, "sequence_id": 141, "annotations": []}
{"role": "volunteer", "content": "I be your teacher", "session_id": 19832, "sequence_id": 142, "annotations": []}
{"role": "student", "content": "56/7 classified 56/7 and as many possible ways.", "session_id": 19832, "sequence_id": 143, "annotations": []}
{"role": "student", "content": "56/7", "session_id": 19832, "sequence_id": 144, "annotations": []}
{"role": "student", "content": "equals 8.", "session_id": 19832, "sequence_id": 145, "annotations": []}
{"role": "student", "content": "56/7 equals 8, so that is natural.", "session_id": 19832, "sequence_id": 146, "annotations": []}
{"role": "student", "content": "natural, whole integers or decibel numbers that go from 0 and both positive that's an integer.", "session_id": 19832, "sequence_id": 147, "annotations": []}
{"role": "student", "content": "No, that's an integer. Now, rational numbers", "session_id": 19832, "sequence_id": 148, "annotations": []}
{"role": "student", "content": "OK, um", "session_id": 19832, "sequence_id": 149, "annotations": []}
{"role": "student", "content": "uh, submit and let's see what did we get?", "session_id": 19832, "sequence_id": 150, "annotations": []}
{"role": "student", "content": "What the fudge", "session_id": 19832, "sequence_id": 151, "annotations": []}
{"role": "student", "content": "OK, we get one more attempt.", "session_id": 19832, "sequence_id": 152, "annotations": []}
{"role": "student", "content": "cause knock don't lie, a 62 is not what I am going for that the decreased my math grade.", "session_id": 19832, "sequence_id": 153, "annotations": []}
{"role": "volunteer", "content": "All right, let's do it again.", "session_id": 19832, "sequence_id": 154, "annotations": []}
{"role": "student", "content": "OK, one second, um, today,", "session_id": 19832, "sequence_id": 155, "annotations": []}
{"role": "student", "content": "if the,", "session_id": 19832, "sequence_id": 156, "annotations": []}
{"role": "student", "content": "if the stupid page will load.", "session_id": 19832, "sequence_id": 157, "annotations": []}
{"role": "student", "content": "One sec", "session_id": 19832, "sequence_id": 158, "annotations": []}
{"role": "student", "content": "The, the page is loading slow", "session_id": 19832, "sequence_id": 159, "annotations": []}
{"role": "student", "content": "OK, so today,", "session_id": 19832, "sequence_id": 160, "annotations": []}
{"role": "student", "content": "exit", "session_id": 19832, "sequence_id": 161, "annotations": []}
{"role": "student", "content": "OK", "session_id": 19832, "sequence_id": 162, "annotations": []}
{"role": "student", "content": "check now", "session_id": 19832, "sequence_id": 163, "annotations": []}
{"role": "student", "content": "take um the access code", "session_id": 19832, "sequence_id": 164, "annotations": []}
{"role": "student", "content": "was", "session_id": 19832, "sequence_id": 165, "annotations": []}
{"role": "student", "content": "I'm gonna go ahead and put in the answers that I know is that was correct. Oh, they are already in. Let me just share the new screen.", "session_id": 19832, "sequence_id": 166, "annotations": []}
{"role": "student", "content": "OK. Can you see my screen?", "session_id": 19832, "sequence_id": 167, "annotations": []}
{"role": "volunteer", "content": "Yes.", "session_id": 19832, "sequence_id": 168, "annotations": []}
{"role": "student", "content": "OK", "session_id": 19832, "sequence_id": 169, "annotations": []}
{"role": "student", "content": "So you said 21 was rational.", "session_id": 19832, "sequence_id": 170, "annotations": []}
{"role": "volunteer", "content": "Yes. And there's one more that's also rational. I want to see if you figure it out.", "session_id": 19832, "sequence_id": 171, "annotations": []}
{"role": "student", "content": "OK", "session_id": 19832, "sequence_id": 172, "annotations": []}
{"role": "student", "content": "square root of 16, it is 4 is rational.", "session_id": 19832, "sequence_id": 173, "annotations": []}
{"role": "volunteer", "content": "Hm.", "session_id": 19832, "sequence_id": 174, "annotations": []}
{"role": "volunteer", "content": "That's correct", "session_id": 19832, "sequence_id": 175, "annotations": []}
{"role": "student", "content": "because both of those are irrational because they go on forever.", "session_id": 19832, "sequence_id": 176, "annotations": []}
{"role": "volunteer", "content": "Yes", "session_id": 19832, "sequence_id": 177, "annotations": []}
{"role": "student", "content": "Now there is one more, now there is one more on this.", "session_id": 19832, "sequence_id": 178, "annotations": []}
{"role": "student", "content": "And I am thinking rational numbers can be represented as a fraction that is represented as a fraction. It is stupid of me that I missed that. Let's see. Did I get them correct? Survey says,", "session_id": 19832, "sequence_id": 179, "annotations": []}
{"role": "student", "content": "can, can, can you load? Thank you. Survey says yapper.", "session_id": 19832, "sequence_id": 180, "annotations": []}
{"role": "volunteer", "content": "Oh, great job", "session_id": 19832, "sequence_id": 181, "annotations": []}
{"role": "volunteer", "content": "100%", "session_id": 19832, "sequence_id": 182, "annotations": []}
{"role": "student", "content": "that that was called as I, I felt there was sarcasm in that.", "session_id": 19832, "sequence_id": 183, "annotations": []}
{"role": "volunteer", "content": "No, there is no sarcasm. It's just usually when I react, I'm very", "session_id": 19832, "sequence_id": 184, "annotations": []}
{"role": "volunteer", "content": "very, very plain.", "session_id": 19832, "sequence_id": 185, "annotations": []}
{"role": "student", "content": "OK", "session_id": 19832, "sequence_id": 186, "annotations": []}
{"role": "student", "content": "Well, I'm pretty sure there's one more thing I gotta do for math.", "session_id": 19832, "sequence_id": 187, "annotations": []}
{"role": "student", "content": "because there's another 10 point thing in my to do list for today.", "session_id": 19832, "sequence_id": 188, "annotations": []}
{"role": "volunteer", "content": "All right, let's do it together", "session_id": 19832, "sequence_id": 189, "annotations": []}
{"role": "student", "content": "OK", "session_id": 19832, "sequence_id": 190, "annotations": []}
{"role": "student", "content": "Um, it", "session_id": 19832, "sequence_id": 191, "annotations": []}
{"role": "student", "content": "let, if it, if it wants to load,", "session_id": 19832, "sequence_id": 192, "annotations": []}
{"role": "student", "content": "irrational numbers, order of operations.", "session_id": 19832, "sequence_id": 193, "annotations": []}
{"role": "student", "content": "OK", "session_id": 19832, "sequence_id": 194, "annotations": []}
{"role": "student", "content": "I'm sick after it loads, I'll share my screen.", "session_id": 19832, "sequence_id": 195, "annotations": []}
{"role": "student", "content": "OK", "session_id": 19832, "sequence_id": 196, "annotations": []}
{"role": "student", "content": "It's slowing, slowly but surely.", "session_id": 19832, "sequence_id": 197, "annotations": []}
{"role": "student", "content": "It's loading.", "session_id": 19832, "sequence_id": 198, "annotations": []}
{"role": "student", "content": "Let me just pull out the demo scientific calculator.", "session_id": 19832, "sequence_id": 199, "annotations": []}
{"role": "student", "content": "Steel load", "session_id": 19832, "sequence_id": 200, "annotations": []}
{"role": "student", "content": "slowly but surely", "session_id": 19832, "sequence_id": 201, "annotations": []}
{"role": "student", "content": "achieve that.", "session_id": 19832, "sequence_id": 202, "annotations": []}
{"role": "student", "content": "share a screen", "session_id": 19832, "sequence_id": 203, "annotations": []}
{"role": "student", "content": "Can you see my", "session_id": 19832, "sequence_id": 204, "annotations": []}
{"role": "volunteer", "content": "Yes.", "session_id": 19832, "sequence_id": 205, "annotations": []}
{"role": "student", "content": "OK, it's floating still loading", "session_id": 19832, "sequence_id": 206, "annotations": []}
{"role": "student", "content": "Choose the best answer, and I can reach if I don't get anything good.", "session_id": 19832, "sequence_id": 207, "annotations": []}
{"role": "student", "content": "10 questions.", "session_id": 19832, "sequence_id": 208, "annotations": []}
{"role": "student", "content": "OK. Consider the following sets. All the statements in Part A and S.", "session_id": 19832, "sequence_id": 209, "annotations": []}
{"role": "student", "content": "A through D true.", "session_id": 19832, "sequence_id": 210, "annotations": []}
{"role": "student", "content": "OK", "session_id": 19832, "sequence_id": 211, "annotations": []}
{"role": "student", "content": "is P a subset of T.", "session_id": 19832, "sequence_id": 212, "annotations": []}
{"role": "student", "content": "So", "session_id": 19832, "sequence_id": 213, "annotations": []}
{"role": "student", "content": "let's think here, yeah.", "session_id": 19832, "sequence_id": 214, "annotations": []}
{"role": "student", "content": "I P a subset of team?", "session_id": 19832, "sequence_id": 215, "annotations": []}
{"role": "student", "content": "We just go to, of course.", "session_id": 19832, "sequence_id": 216, "annotations": []}
{"role": "student", "content": "for heat. Oh God, my computer's up", "session_id": 19832, "sequence_id": 217, "annotations": []}
{"role": "student", "content": "OK, so subsets example.", "session_id": 19832, "sequence_id": 218, "annotations": []}
{"role": "student", "content": "B is", "session_id": 19832, "sequence_id": 219, "annotations": []}
{"role": "student", "content": "OK", "session_id": 19832, "sequence_id": 220, "annotations": []}
{"role": "student", "content": "So subsets.", "session_id": 19832, "sequence_id": 221, "annotations": []}
{"role": "student", "content": "P is a sub", "session_id": 19832, "sequence_id": 222, "annotations": []}
{"role": "student", "content": "he is a subset of T, the states are true because I live in numbers are on multiple of 2. The statement is true because all numbers on multiples of 6.", "session_id": 19832, "sequence_id": 223, "annotations": []}
{"role": "student", "content": "see the statement is because some numbers are not multiple of 62 or 4, the statement is false because not all is multiples of two such as", "session_id": 19832, "sequence_id": 224, "annotations": []}
{"role": "student", "content": "I know, that doesn't make sense because both of these are multibusettes.", "session_id": 19832, "sequence_id": 225, "annotations": []}
{"role": "student", "content": "this is the statement is false because", "session_id": 19832, "sequence_id": 226, "annotations": []}
{"role": "student", "content": "some numbers are not multiples of 6, such as 2 and 4.", "session_id": 19832, "sequence_id": 227, "annotations": []}
{"role": "student", "content": "2 and 4 are not multiples of 6.", "session_id": 19832, "sequence_id": 228, "annotations": []}
{"role": "volunteer", "content": "That looks correct", "session_id": 19832, "sequence_id": 229, "annotations": []}
{"role": "student", "content": "But see, yep", "session_id": 19832, "sequence_id": 230, "annotations": []}
{"role": "student", "content": "Now is tea a subset of S.", "session_id": 19832, "sequence_id": 231, "annotations": []}
{"role": "student", "content": "OK, OK 69 126 1218, 24.", "session_id": 19832, "sequence_id": 232, "annotations": []}
{"role": "student", "content": "The statement is true because multiples of 6 can be written as 22 and our naturalist and natural of numbers, so they are also multiples. The statement is false because some multiples of sex, such as 18 or 24 or not multibos of 3. The statement is false because", "session_id": 19832, "sequence_id": 233, "annotations": []}
{"role": "student", "content": "multiples such as 3, such as 3 over or not multiples or six of 6, the statement is true because allables of sex can be written as 2, 32N which are where wherein is a natural number.", "session_id": 19832, "sequence_id": 234, "annotations": []}
{"role": "student", "content": "I, I'm thinking it's this.", "session_id": 19832, "sequence_id": 235, "annotations": []}
{"role": "volunteer", "content": "Yeah, that looks correct to me", "session_id": 19832, "sequence_id": 236, "annotations": []}
{"role": "student", "content": "Nice work. OK", "session_id": 19832, "sequence_id": 237, "annotations": []}
{"role": "student", "content": "The sum of any two elements in S where the element of for, OK, but some of any two elements in us will always be an element in of sad ***.", "session_id": 19832, "sequence_id": 238, "annotations": []}
{"role": "student", "content": "What does that mean?", "session_id": 19832, "sequence_id": 239, "annotations": []}
{"role": "volunteer", "content": "Um, so, basically what that means,", "session_id": 19832, "sequence_id": 240, "annotations": []}
{"role": "volunteer", "content": "is that if you add any two numbers in the sets, so let's say 3 or 9.", "session_id": 19832, "sequence_id": 241, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 19832, "sequence_id": 242, "annotations": []}
{"role": "volunteer", "content": "It's always, it's always gonna be an element in S that's gonna equal the sum of 39.", "session_id": 19832, "sequence_id": 243, "annotations": []}
{"role": "volunteer", "content": "So is this?", "session_id": 19832, "sequence_id": 244, "annotations": []}
{"role": "student", "content": "The statement is false because the sum of two multi multiples of three is a multiple of 6. The statement is true because the alum multiples of 3 is a multiple liver is a multiple of 33 and plus 3N equals 3M + n, the statement is false because some of er, yeah, I'm", "session_id": 19832, "sequence_id": 245, "annotations": []}
{"role": "student", "content": "this because the sumbies only started multiples of 3 is the multiple of 3", "session_id": 19832, "sequence_id": 246, "annotations": []}
{"role": "student", "content": "The statement is false", "session_id": 19832, "sequence_id": 247, "annotations": []}
{"role": "student", "content": "because the thermal multiples of 3. I, I'm thinking that it's this", "session_id": 19832, "sequence_id": 248, "annotations": []}
{"role": "volunteer", "content": "Um, it might be another option.", "session_id": 19832, "sequence_id": 249, "annotations": []}
{"role": "student", "content": "uh, my next choice was this.", "session_id": 19832, "sequence_id": 250, "annotations": []}
{"role": "student", "content": "like let just first, let's carefully read the statement is false because 2, the sum of 2 multiples of three is a multiple of 6, 3N + and the statement is true because uh", "session_id": 19832, "sequence_id": 251, "annotations": []}
{"role": "student", "content": "of 3 is a multiple of 3, no, it's, it's a", "session_id": 19832, "sequence_id": 252, "annotations": []}
{"role": "student", "content": "It's a", "session_id": 19832, "sequence_id": 253, "annotations": []}
{"role": "volunteer", "content": "Mm.", "session_id": 19832, "sequence_id": 254, "annotations": []}
{"role": "student", "content": "oh", "session_id": 19832, "sequence_id": 255, "annotations": []}
{"role": "volunteer", "content": "Oh", "session_id": 19832, "sequence_id": 256, "annotations": []}
{"role": "student", "content": "if not my next choice would be.", "session_id": 19832, "sequence_id": 257, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 19832, "sequence_id": 258, "annotations": []}
{"role": "student", "content": "So I was correct on it being me, the first time", "session_id": 19832, "sequence_id": 259, "annotations": []}
{"role": "student", "content": "The the set of elements common to PS and OK, the set of elements common to PNS is a subset of settee.", "session_id": 19832, "sequence_id": 260, "annotations": []}
{"role": "student", "content": "OK, so, OK, what, what are they asking?", "session_id": 19832, "sequence_id": 261, "annotations": []}
{"role": "volunteer", "content": "Uh, can you repeat your question", "session_id": 19832, "sequence_id": 262, "annotations": []}
{"role": "student", "content": "Um, what are they asking? I don't quite understand the question at hand.", "session_id": 19832, "sequence_id": 263, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 19832, "sequence_id": 264, "annotations": []}
{"role": "volunteer", "content": "Let me first read the question to myself again.", "session_id": 19832, "sequence_id": 265, "annotations": []}
{"role": "student", "content": "OK, take your time", "session_id": 19832, "sequence_id": 266, "annotations": []}
{"role": "volunteer", "content": "OK, so", "session_id": 19832, "sequence_id": 267, "annotations": []}
{"role": "volunteer", "content": "basically what it's saying is that in both sets P and S", "session_id": 19832, "sequence_id": 268, "annotations": []}
{"role": "volunteer", "content": "Numbers that are similar to each other, so we could see that both P and S have number 6.", "session_id": 19832, "sequence_id": 269, "annotations": []}
{"role": "volunteer", "content": "How um", "session_id": 19832, "sequence_id": 270, "annotations": []}
{"role": "volunteer", "content": "how do those numbers relate to SETT?", "session_id": 19832, "sequence_id": 271, "annotations": []}
{"role": "volunteer", "content": "It's basically what now", "session_id": 19832, "sequence_id": 272, "annotations": []}
{"role": "student", "content": "I mean, all three of them have 6 in them.", "session_id": 19832, "sequence_id": 273, "annotations": []}
{"role": "volunteer", "content": "Mhm", "session_id": 19832, "sequence_id": 274, "annotations": []}
{"role": "student", "content": "So", "session_id": 19832, "sequence_id": 275, "annotations": []}
{"role": "student", "content": "so it's gonna be", "session_id": 19832, "sequence_id": 276, "annotations": []}
{"role": "volunteer", "content": "So the statement of the gens.", "session_id": 19832, "sequence_id": 277, "annotations": []}
{"role": "student", "content": "so it is true because all of them have 6 in them, so technically PNS is a subset of T because all of them have 6. Am I correct?", "session_id": 19832, "sequence_id": 278, "annotations": []}
{"role": "volunteer", "content": "Um, you're half correct because it's, it's not saying all elements in PNS are subset of T. It's only the elements that are common in PNFs that are subsets of tea.", "session_id": 19832, "sequence_id": 279, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 19832, "sequence_id": 280, "annotations": []}
{"role": "volunteer", "content": "s", "session_id": 19832, "sequence_id": 281, "annotations": []}
{"role": "student", "content": "PNS have, both have 6 in them, and he has 6 in it, so it's, so PNS are subsets of tea.", "session_id": 19832, "sequence_id": 282, "annotations": []}
{"role": "volunteer", "content": "Yes", "session_id": 19832, "sequence_id": 283, "annotations": []}
{"role": "student", "content": "So it's got, so the statement is true, so it's a 50/50 chance.", "session_id": 19832, "sequence_id": 284, "annotations": []}
{"role": "volunteer", "content": "Hm", "session_id": 19832, "sequence_id": 285, "annotations": []}
{"role": "student", "content": "So the statement is true because all elements in P and all elements are as oh.", "session_id": 19832, "sequence_id": 286, "annotations": []}
{"role": "student", "content": "but it is gonna be this. The treatment is true because never at all, multiples of both 2 and 3 can be written as 2 times 3 times and or or 6 and they are multiples of 6 checked answer and survey says.", "session_id": 19832, "sequence_id": 287, "annotations": []}
{"role": "student", "content": "OK, which, which numbers and A", "session_id": 19832, "sequence_id": 288, "annotations": []}
{"role": "student", "content": "uh which numbers and are elements of both subsets B and C, so 3", "session_id": 19832, "sequence_id": 289, "annotations": []}
{"role": "student", "content": "OK, so", "session_id": 19832, "sequence_id": 290, "annotations": []}
{"role": "student", "content": "999 and", "session_id": 19832, "sequence_id": 291, "annotations": []}
{"role": "student", "content": "the numbers are in all three sets", "session_id": 19832, "sequence_id": 292, "annotations": []}
{"role": "student", "content": "Rs 9.", "session_id": 19832, "sequence_id": 293, "annotations": []}
{"role": "student", "content": "survey says, great job.", "session_id": 19832, "sequence_id": 294, "annotations": []}
{"role": "student", "content": "What, which numbers in AR elements of both B and C.", "session_id": 19832, "sequence_id": 295, "annotations": []}
{"role": "student", "content": "routine", "session_id": 19832, "sequence_id": 296, "annotations": []}
{"role": "student", "content": "and I am thinking it is 10.", "session_id": 19832, "sequence_id": 297, "annotations": []}
{"role": "student", "content": "and survey says that's incorrect.", "session_id": 19832, "sequence_id": 298, "annotations": []}
{"role": "student", "content": "OK, so", "session_id": 19832, "sequence_id": 299, "annotations": []}
{"role": "volunteer", "content": "Oh, I believe there's more.", "session_id": 19832, "sequence_id": 300, "annotations": []}
{"role": "student", "content": "let, let's, oh, numbers.", "session_id": 19832, "sequence_id": 301, "annotations": []}
{"role": "student", "content": "use commas", "session_id": 19832, "sequence_id": 302, "annotations": []}
{"role": "student", "content": "So tin, comma.", "session_id": 19832, "sequence_id": 303, "annotations": []}
{"role": "student", "content": "OK, let's just figure out, so we have 10.", "session_id": 19832, "sequence_id": 304, "annotations": []}
{"role": "student", "content": "20", "session_id": 19832, "sequence_id": 305, "annotations": []}
{"role": "student", "content": "3", "session_id": 19832, "sequence_id": 306, "annotations": []}
{"role": "student", "content": "OK, let's see here. All of these have 10. All of these have 2.", "session_id": 19832, "sequence_id": 307, "annotations": []}
{"role": "student", "content": "Yeah, all of these have 10 and 20.", "session_id": 19832, "sequence_id": 308, "annotations": []}
{"role": "student", "content": "Um, only one of these have very only 2 of these have 25 and only one of the, oh wait, A or subsets of that.", "session_id": 19832, "sequence_id": 309, "annotations": []}
{"role": "student", "content": "Yeah, honestly, I'm thinking it's only 10 and 20. Am I correct?", "session_id": 19832, "sequence_id": 310, "annotations": []}
{"role": "volunteer", "content": "Yes", "session_id": 19832, "sequence_id": 311, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 19832, "sequence_id": 312, "annotations": []}
{"role": "student", "content": "and", "session_id": 19832, "sequence_id": 313, "annotations": []}
{"role": "student", "content": "loading, loading, loading, pop, loading pop, loading loading, loading, hop, loading.", "session_id": 19832, "sequence_id": 314, "annotations": []}
{"role": "student", "content": "And if the dang bang wants to know that would be nice.", "session_id": 19832, "sequence_id": 315, "annotations": []}
{"role": "student", "content": "Mm", "session_id": 19832, "sequence_id": 316, "annotations": []}
{"role": "student", "content": "Now a loaded on your part?", "session_id": 19832, "sequence_id": 317, "annotations": []}
{"role": "volunteer", "content": "Uh, no.", "session_id": 19832, "sequence_id": 318, "annotations": []}
{"role": "volunteer", "content": "It's still loading for me as well.", "session_id": 19832, "sequence_id": 319, "annotations": []}
{"role": "student", "content": "OK, be right back. I'm gonna use the bathroom by the time I get back, it should be loaded.", "session_id": 19832, "sequence_id": 320, "annotations": []}
{"role": "student", "content": "And after then after I'm finished the stupid ma, I'mma Liam, 20 minute break and then", "session_id": 19832, "sequence_id": 321, "annotations": [{"pii_type": "PERSON", "surrogate": "Liam", "start": 55, "end": 59}]}
{"role": "student", "content": "we try to work", "session_id": 19832, "sequence_id": 322, "annotations": []}
{"role": "student", "content": "I", "session_id": 19832, "sequence_id": 323, "annotations": []}
{"role": "student", "content": "and", "session_id": 19832, "sequence_id": 324, "annotations": []}
{"role": "student", "content": "two different", "session_id": 19832, "sequence_id": 325, "annotations": []}
{"role": "student", "content": "Never mind, I guess I did not have to use the bathroom.", "session_id": 19832, "sequence_id": 326, "annotations": []}
{"role": "student", "content": "OK, I'm, I'm back. OK, good, it loaded.", "session_id": 19832, "sequence_id": 327, "annotations": []}
{"role": "student", "content": "Relax", "session_id": 19832, "sequence_id": 328, "annotations": []}
{"role": "student", "content": "OK, tell me", "session_id": 19832, "sequence_id": 329, "annotations": []}
{"role": "student", "content": "tell me which set set or set a number belongs to a natural numbers, toll numbers, integers, dang, this pro this question is easy.", "session_id": 19832, "sequence_id": 330, "annotations": []}
{"role": "student", "content": "OK, so let's already go with natural numbers.", "session_id": 19832, "sequence_id": 331, "annotations": []}
{"role": "student", "content": "poll numbers.", "session_id": 19832, "sequence_id": 332, "annotations": []}
{"role": "student", "content": "enter your.", "session_id": 19832, "sequence_id": 333, "annotations": []}
{"role": "student", "content": "integers.", "session_id": 19832, "sequence_id": 334, "annotations": []}
{"role": "student", "content": "and they count as rational number", "session_id": 19832, "sequence_id": 335, "annotations": []}
{"role": "student", "content": "um", "session_id": 19832, "sequence_id": 336, "annotations": []}
{"role": "student", "content": "and let's check if that's correct, if it's not, well, let's add real numbers.", "session_id": 19832, "sequence_id": 337, "annotations": []}
{"role": "student", "content": "You there", "session_id": 19832, "sequence_id": 338, "annotations": []}
{"role": "volunteer", "content": "Yes", "session_id": 19832, "sequence_id": 339, "annotations": []}
{"role": "student", "content": "OK. Just making sure I almost just lost my pen.", "session_id": 19832, "sequence_id": 340, "annotations": []}
{"role": "student", "content": "Tell me which sets up the number belongs to the actual numbers, phone numbers, integers, block.", "session_id": 19832, "sequence_id": 341, "annotations": []}
{"role": "student", "content": "Pi.", "session_id": 19832, "sequence_id": 342, "annotations": []}
{"role": "student", "content": "He expressed", "session_id": 19832, "sequence_id": 343, "annotations": []}
{"role": "student", "content": "OK, so,", "session_id": 19832, "sequence_id": 344, "annotations": []}
{"role": "student", "content": "uh she is 23.", "session_id": 19832, "sequence_id": 345, "annotations": []}
{"role": "student", "content": "/ 7", "session_id": 19832, "sequence_id": 346, "annotations": []}
{"role": "student", "content": "Pi slash even.", "session_id": 19832, "sequence_id": 347, "annotations": []}
{"role": "student", "content": "OK, so it looks like it counts as irrational.", "session_id": 19832, "sequence_id": 348, "annotations": []}
{"role": "student", "content": "because it goes on and on as a decibel.", "session_id": 19832, "sequence_id": 349, "annotations": []}
{"role": "student", "content": "OK, um", "session_id": 19832, "sequence_id": 350, "annotations": []}
{"role": "student", "content": "let's see here. It's not natural, it's not whole. It's not an interior.", "session_id": 19832, "sequence_id": 351, "annotations": []}
{"role": "student", "content": "a rational number", "session_id": 19832, "sequence_id": 352, "annotations": []}
{"role": "student", "content": "um", "session_id": 19832, "sequence_id": 353, "annotations": []}
{"role": "student", "content": "it's a real number", "session_id": 19832, "sequence_id": 354, "annotations": []}
{"role": "volunteer", "content": "Mhm", "session_id": 19832, "sequence_id": 355, "annotations": []}
{"role": "student", "content": "and it seems like it's irrational.", "session_id": 19832, "sequence_id": 356, "annotations": []}
{"role": "volunteer", "content": "Oh wait", "session_id": 19832, "sequence_id": 357, "annotations": []}
{"role": "student", "content": "But it's not irrational.", "session_id": 19832, "sequence_id": 358, "annotations": []}
{"role": "volunteer", "content": "Can't be both rational and irrational. It could be just either one.", "session_id": 19832, "sequence_id": 359, "annotations": []}
{"role": "student", "content": "Yeah, you're, you're right. That's why I said, oh, wait, it cannot be earrational.", "session_id": 19832, "sequence_id": 360, "annotations": []}
{"role": "volunteer", "content": "Hm", "session_id": 19832, "sequence_id": 361, "annotations": []}
{"role": "student", "content": "and I mean to click back.", "session_id": 19832, "sequence_id": 362, "annotations": []}
{"role": "student", "content": "OK, tell me what set the stat number belong to?", "session_id": 19832, "sequence_id": 363, "annotations": []}
{"role": "student", "content": "So let's already go with natural rational integer real", "session_id": 19832, "sequence_id": 364, "annotations": []}
{"role": "student", "content": "hole", "session_id": 19832, "sequence_id": 365, "annotations": []}
{"role": "student", "content": "It potentially those", "session_id": 19832, "sequence_id": 366, "annotations": []}
{"role": "student", "content": "OK, so,", "session_id": 19832, "sequence_id": 367, "annotations": []}
{"role": "student", "content": "so it's", "session_id": 19832, "sequence_id": 368, "annotations": []}
{"role": "student", "content": "whole.", "session_id": 19832, "sequence_id": 369, "annotations": []}
{"role": "student", "content": "integer", "session_id": 19832, "sequence_id": 370, "annotations": []}
{"role": "student", "content": "It's yours", "session_id": 19832, "sequence_id": 371, "annotations": []}
{"role": "student", "content": "phone numbers that can be represented as a fraction", "session_id": 19832, "sequence_id": 372, "annotations": []}
{"role": "student", "content": "in.", "session_id": 19832, "sequence_id": 373, "annotations": []}
{"role": "student", "content": "OK. It would count as a real number.", "session_id": 19832, "sequence_id": 374, "annotations": []}
{"role": "student", "content": "Um", "session_id": 19832, "sequence_id": 375, "annotations": []}
{"role": "volunteer", "content": "Mhm", "session_id": 19832, "sequence_id": 376, "annotations": []}
{"role": "student", "content": "but question, would it count as a rational.", "session_id": 19832, "sequence_id": 377, "annotations": []}
{"role": "volunteer", "content": "Uh, yes, cause there is a way to express zero as a fraction.", "session_id": 19832, "sequence_id": 378, "annotations": []}
{"role": "student", "content": "OK, now let's just get the square root of 12 real quick. We read of 12", "session_id": 19832, "sequence_id": 379, "annotations": []}
{"role": "student", "content": "That is irrational.", "session_id": 19832, "sequence_id": 380, "annotations": []}
{"role": "student", "content": "OK. Wait, wait, actually, yeah, I know, that's just stirred up irrational.", "session_id": 19832, "sequence_id": 381, "annotations": []}
{"role": "student", "content": "What did make irrational because nothing goes well goes with irrational.", "session_id": 19832, "sequence_id": 382, "annotations": []}
{"role": "volunteer", "content": "Um, sometimes there is something I could go with irrational. There's um", "session_id": 19832, "sequence_id": 383, "annotations": []}
{"role": "volunteer", "content": "real numbers", "session_id": 19832, "sequence_id": 384, "annotations": []}
{"role": "student", "content": "OK, let's do, OK, I'm gonna just try with a rational cause I get 3 guesses.", "session_id": 19832, "sequence_id": 385, "annotations": []}
{"role": "volunteer", "content": "Hm", "session_id": 19832, "sequence_id": 386, "annotations": []}
{"role": "student", "content": "OK, real numbers. I rational and real numbers and surveys fantastic.", "session_id": 19832, "sequence_id": 387, "annotations": []}
{"role": "student", "content": "OK, and tell me the 14, so.", "session_id": 19832, "sequence_id": 388, "annotations": []}
{"role": "student", "content": "09.", "session_id": 19832, "sequence_id": 389, "annotations": []}
{"role": "student", "content": "It is an integer rational.", "session_id": 19832, "sequence_id": 390, "annotations": []}
{"role": "student", "content": "and real", "session_id": 19832, "sequence_id": 391, "annotations": []}
{"role": "volunteer", "content": "I", "session_id": 19832, "sequence_id": 392, "annotations": []}
{"role": "student", "content": "because it's not always put your number that can be expressed as a fraction.", "session_id": 19832, "sequence_id": 393, "annotations": []}
{"role": "student", "content": "OK, it's not a rational", "session_id": 19832, "sequence_id": 394, "annotations": []}
{"role": "student", "content": "It's a real number and rational number.", "session_id": 19832, "sequence_id": 395, "annotations": []}
{"role": "volunteer", "content": "Oh wait, there's more", "session_id": 19832, "sequence_id": 396, "annotations": []}
{"role": "student", "content": "Yeah, um, well, let's see here. Hon natural number is 0 and up phone number is 0 and up with no decibel integers.", "session_id": 19832, "sequence_id": 397, "annotations": []}
{"role": "student", "content": "integers go up and down with no da go from the go starts from zero and goes into the positives and negatives without a decibel rationals can be represented as a fraction.", "session_id": 19832, "sequence_id": 398, "annotations": []}
{"role": "student", "content": "irrational numbers or numbers that cannot be expressed as a fraction, and you cannot have both rational and irrational.", "session_id": 19832, "sequence_id": 399, "annotations": []}
{"role": "student", "content": "and it's a real number because it's a mix of rational and irrational.", "session_id": 19832, "sequence_id": 400, "annotations": []}
{"role": "student", "content": "So", "session_id": 19832, "sequence_id": 401, "annotations": []}
{"role": "student", "content": "what, what would be, what, what would it be?", "session_id": 19832, "sequence_id": 402, "annotations": []}
{"role": "volunteer", "content": "Um, it would also count as an integer.", "session_id": 19832, "sequence_id": 403, "annotations": []}
{"role": "student", "content": "Integer", "session_id": 19832, "sequence_id": 404, "annotations": []}
{"role": "volunteer", "content": "Mhm", "session_id": 19832, "sequence_id": 405, "annotations": []}
{"role": "student", "content": "integer, a non-decimal number that goes from 00 my God, I forgot to fill an integer", "session_id": 19832, "sequence_id": 406, "annotations": []}
{"role": "student", "content": "A I'm a bit dumb.", "session_id": 19832, "sequence_id": 407, "annotations": []}
{"role": "student", "content": "OK, so negative 9. So it would be rational and to be real.", "session_id": 19832, "sequence_id": 408, "annotations": []}
{"role": "student", "content": "Yeah, cause it was basically the same thing as last question, just a different negative number.", "session_id": 19832, "sequence_id": 409, "annotations": []}
{"role": "student", "content": "And let's see what I got. 100. OK, so", "session_id": 19832, "sequence_id": 410, "annotations": []}
{"role": "student", "content": "I know I'm, I'm done.", "session_id": 19832, "sequence_id": 411, "annotations": []}
{"role": "student", "content": "Thank you so much, good sir. Wait, let me just check something.", "session_id": 19832, "sequence_id": 412, "annotations": []}
{"role": "volunteer", "content": "Take your time", "session_id": 19832, "sequence_id": 413, "annotations": []}
{"role": "student", "content": "OK", "session_id": 19832, "sequence_id": 414, "annotations": []}
{"role": "student", "content": "OK", "session_id": 19832, "sequence_id": 415, "annotations": []}
{"role": "student", "content": "Yup", "session_id": 19832, "sequence_id": 416, "annotations": []}
{"role": "student", "content": "Well, thank you so much.", "session_id": 19832, "sequence_id": 417, "annotations": []}
{"role": "volunteer", "content": "All right, no problem, Ben. Have a great day.", "session_id": 19832, "sequence_id": 418, "annotations": [{"pii_type": "PERSON", "surrogate": "Ben", "start": 23, "end": 26}]}
{"role": "volunteer", "content": "hi!", "session_id": 19894, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "How are you doing today", "session_id": 19894, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "hi can you do 4 of them so I could understand and you see me doing to res of the four", "session_id": 19894, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "hmm let me see", "session_id": 19894, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "here", "session_id": 19894, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "ok so for the first equation x <= 3", "session_id": 19894, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "that is going to be a straight vertical line because there is no slope", "session_id": 19894, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "can you draw it", "session_id": 19894, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "and the line is going to go through 3 on the axis the entire time", "session_id": 19894, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "no matter what point/coordinate you choose on the line", "session_id": 19894, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "can you draw it", "session_id": 19894, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "the x-value will always be less than or equal to 3", "session_id": 19894, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "sure", "session_id": 19894, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "do you understand", "session_id": 19894, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "yes", "session_id": 19894, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "ok what about the other line", "session_id": 19894, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "it is a solid line because it says less than or EQUAL to not just less than", "session_id": 19894, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "ok", "session_id": 19894, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "the other one", "session_id": 19894, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "has a slope of 4", "session_id": 19894, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "and slope is rise over run (rise/run) or y/x", "session_id": 19894, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "ok", "session_id": 19894, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "so a slope of 4 means you go 4 up 1 to the right from the y-intercept which is -9 in this equation", "session_id": 19894, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "understand?", "session_id": 19894, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "yes", "session_id": 19894, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "sorry can you show me the second line", "session_id": 19894, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "its a dashed line instead of a solid line since it is not less than or EQUAL to... its just less than", "session_id": 19894, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "ok can you shade where the two lines intersect", "session_id": 19894, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "just redraw the line i drew at first again", "session_id": 19894, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "in a different color so I could understand", "session_id": 19894, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "and you'll see where it interesects", "session_id": 19894, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "no cause it asking us to shade the part where the both lines intersect", "session_id": 19894, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "heloo", "session_id": 19894, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "in pink is where the two lines intersect", "session_id": 19894, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "no the pink line is the first equation", "session_id": 19894, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "they intersect where the two equations lines overlap", "session_id": 19894, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "ok but where is it where the two lines intersect", "session_id": 19894, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "can you show me where", "session_id": 19894, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "you can't see it on the screen?", "session_id": 19894, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "where the pink and orange intersect", "session_id": 19894, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "can you show me in a different color", "session_id": 19894, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "ya", "session_id": 19894, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "do you understand this?", "session_id": 19894, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "?", "session_id": 19894, "sequence_id": 43, "annotations": []}
{"role": "student", "content": "yes", "session_id": 19894, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "great!", "session_id": 19894, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "here", "session_id": 19894, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "hello", "session_id": 19894, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "ohh", "session_id": 19894, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "you know how to do this now", "session_id": 19894, "sequence_id": 49, "annotations": []}
{"role": "student", "content": "I don't know", "session_id": 19894, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "but you said you understood the other problem?", "session_id": 19894, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "its the same concept as the first equation of the problem", "session_id": 19894, "sequence_id": 52, "annotations": []}
{"role": "student", "content": "hwere", "session_id": 19894, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "good but remember sinces its just greater than and not greater than or EQUAL to.. its dashed line not a solid line", "session_id": 19894, "sequence_id": 54, "annotations": []}
{"role": "student", "content": "ok", "session_id": 19894, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "also shade the greater than", "session_id": 19894, "sequence_id": 56, "annotations": []}
{"role": "student", "content": "is the other line right", "session_id": 19894, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 19894, "sequence_id": 58, "annotations": []}
{"role": "student", "content": "can you shade in the part they intersect", "session_id": 19894, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "shade each of the lines", "session_id": 19894, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "the first one is greater than -7", "session_id": 19894, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "so do you shade up or down?", "session_id": 19894, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "above or below the -7", "session_id": 19894, "sequence_id": 63, "annotations": []}
{"role": "student", "content": "below", "session_id": 19894, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "is -5 greater than -7 or less than -7", "session_id": 19894, "sequence_id": 65, "annotations": []}
{"role": "student", "content": "then above", "session_id": 19894, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "ya because -5 is greater than -7 right because its closer the positive numbers which are larger than negative numbers", "session_id": 19894, "sequence_id": 67, "annotations": []}
{"role": "student", "content": "and the other line when have to shade blow", "session_id": 19894, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "since that is a vertical line", "session_id": 19894, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "you either shade left or right", "session_id": 19894, "sequence_id": 70, "annotations": []}
{"role": "student", "content": "right", "session_id": 19894, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "its a less than or equal to sign", "session_id": 19894, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "so shade which way?", "session_id": 19894, "sequence_id": 73, "annotations": []}
{"role": "student", "content": "left", "session_id": 19894, "sequence_id": 74, "annotations": []}
{"role": "volunteer", "content": "great!", "session_id": 19894, "sequence_id": 75, "annotations": []}
{"role": "student", "content": "can you highlight in red where they intersect", "session_id": 19894, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "don't you see where the black and pink intersect", "session_id": 19894, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "thats where the two equations intersect", "session_id": 19894, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "thats why you did it in different colors", "session_id": 19894, "sequence_id": 79, "annotations": []}
{"role": "student", "content": "can you pls just highlight because its easier for me", "session_id": 19894, "sequence_id": 80, "annotations": []}
{"role": "volunteer", "content": "but i dont think your understanding", "session_id": 19894, "sequence_id": 81, "annotations": []}
{"role": "student", "content": "I do", "session_id": 19894, "sequence_id": 82, "annotations": []}
{"role": "volunteer", "content": "then you would be able to see where they intersect", "session_id": 19894, "sequence_id": 83, "annotations": []}
{"role": "volunteer", "content": "hi, how are you?", "session_id": 19923, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "What would like help with?", "session_id": 19923, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "Hi, I was in an upcheive with someone name Maria I think and we randomly got disconnected a few seconds ago and I was hoping to reconnect with her, do you know ow I can do that, just because she knows what I am working on. If not I am totally okay with working with you.", "session_id": 19923, "sequence_id": 2, "annotations": [{"pii_type": "PERSON", "surrogate": "Maria", "start": 43, "end": 48}]}
{"role": "volunteer", "content": "I'm not too sure. I guess if she knows that you're trying to connect back she would probably look out for your requests.", "session_id": 19923, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "I'm happy to help, but it's totally up to you.", "session_id": 19923, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "yeah, would you mind if i end this session and try t reconnect with her, it is nothing personal?", "session_id": 19923, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "Of course, I would do the same tbh", "session_id": 19923, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "Thank you, I am sorry!!!", "session_id": 19923, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "Have a nice day, hope you find her.", "session_id": 19923, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "Thanks you too", "session_id": 19923, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "dont be sorry!", "session_id": 19923, "sequence_id": 10, "annotations": []}
{"role": "student", "content": ":)", "session_id": 19923, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": ": )", "session_id": 19923, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "hi", "session_id": 19993, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "I will put the problem on the board", "session_id": 19993, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "Hi Ethan :)\nSounds good!", "session_id": 19993, "sequence_id": 2, "annotations": [{"pii_type": "PERSON", "surrogate": "Ethan", "start": 3, "end": 8}]}
{"role": "volunteer", "content": "To clarify, they want you to solve the equation for x=2?", "session_id": 19993, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "simply and then evaluate each  exponential expression", "session_id": 19993, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "that what on the thing", "session_id": 19993, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "Okay, sounds like we'll need to start with simplifying\nAny ideas how to start?", "session_id": 19993, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "I feel like this one first", "session_id": 19993, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "Do you know the PENDAS order of operations?", "session_id": 19993, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "no", "session_id": 19993, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "That's okay! :)\nI'll explain", "session_id": 19993, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "ok", "session_id": 19993, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "It acts as a guide for what order you should solve an equation in\n(I got one of the letters mixed up, it's PEMDAS, oops)\n\nP -parenthesis\nE-exponents\nM-Multiply\nD-Division\nA-Addition\nS-Subtraction\n\nFirst letter is where you start, then you want to move down", "session_id": 19993, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "ok", "session_id": 19993, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "so the first thing is x^2", "session_id": 19993, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "right", "session_id": 19993, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "not exactly, Ethan is already simplified completely", "session_id": 19993, "sequence_id": 16, "annotations": [{"pii_type": "PERSON", "surrogate": "Ethan", "start": 13, "end": 18}]}
{"role": "volunteer", "content": "correct!", "session_id": 19993, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "this", "session_id": 19993, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "Do you know how to raise an exponent by another exponent?", "session_id": 19993, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "x^2x^2", "session_id": 19993, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "Yup, amazing!", "session_id": 19993, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "Can that be simplified any further?", "session_id": 19993, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "I think so", "session_id": 19993, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "As far as I was taught, it can't, but no worries!", "session_id": 19993, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "oh ok", "session_id": 19993, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "then it fine", "session_id": 19993, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "Any ideas for the next step?", "session_id": 19993, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "x^2-X^4", "session_id": 19993, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "Yup! Can that be simplified at all?", "session_id": 19993, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "yea", "session_id": 19993, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "Actually, since they have different exponents, it can't actually be simplified", "session_id": 19993, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "oh", "session_id": 19993, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "you can only subtract terms with the same exponent", "session_id": 19993, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "x^2-X^4", "session_id": 19993, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "Right now, we'll want to keep it as is, and move on to the (x^2 X x) part! :)", "session_id": 19993, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "ok", "session_id": 19993, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "Any ideas for how to simplify that part?", "session_id": 19993, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "no but probably like 3 x 1", "session_id": 19993, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "What power is x raised to?", "session_id": 19993, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "the one on the right", "session_id": 19993, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "1", "session_id": 19993, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "yes, now, do you know the rule when multiplying two terms?", "session_id": 19993, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "no not really cause I forgot thing", "session_id": 19993, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "That's okay! :)\n\nWhen multiplying two of the same variable, you'll want to add the exponents", "session_id": 19993, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "oh now I get it", "session_id": 19993, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "great!", "session_id": 19993, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "like that", "session_id": 19993, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "yup! The equation we're working with is (x^2 * x), any ideas how to work that out?", "session_id": 19993, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "not really", "session_id": 19993, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "What powers are the two x's raised to?", "session_id": 19993, "sequence_id": 50, "annotations": []}
{"role": "student", "content": "4", "session_id": 19993, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "Does it help if I write it like this?", "session_id": 19993, "sequence_id": 52, "annotations": []}
{"role": "student", "content": "yes", "session_id": 19993, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "Remember, when the variable is the same, you want to add the exponents", "session_id": 19993, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "Do you think you can simplify it?", "session_id": 19993, "sequence_id": 55, "annotations": []}
{"role": "student", "content": "add it", "session_id": 19993, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "yes, can you do that?", "session_id": 19993, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "Yes!", "session_id": 19993, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "<3", "session_id": 19993, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "I wrote down our equation so far, can it be simplified further?", "session_id": 19993, "sequence_id": 60, "annotations": []}
{"role": "student", "content": "yea", "session_id": 19993, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "How?", "session_id": 19993, "sequence_id": 62, "annotations": []}
{"role": "student", "content": "oh wait because you can't yet because there no way yet to simply that ]", "session_id": 19993, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "Yup!\nI'd write that onto your paper for the simplifying portion\n\nOnce you do that, we just need to do the x=2 part", "session_id": 19993, "sequence_id": 64, "annotations": []}
{"role": "student", "content": "there I put it on my paper", "session_id": 19993, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "good! Any idea how to do the x=2 portion?", "session_id": 19993, "sequence_id": 66, "annotations": []}
{"role": "student", "content": "x=2 mmh probably by multiple something with it", "session_id": 19993, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "What the question is asking you to do is put a 2 where-ever an x is, then solve", "session_id": 19993, "sequence_id": 68, "annotations": []}
{"role": "student", "content": "x^2", "session_id": 19993, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "no, sorry", "session_id": 19993, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "Hold on, my pen is being glitchy", "session_id": 19993, "sequence_id": 71, "annotations": []}
{"role": "student", "content": "ok", "session_id": 19993, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "So I put a 2 in at every spot there is an x", "session_id": 19993, "sequence_id": 73, "annotations": []}
{"role": "student", "content": "ok", "session_id": 19993, "sequence_id": 74, "annotations": []}
{"role": "student", "content": "now I get it", "session_id": 19993, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "that's what the equation means by x=2, you literally want to replace every x with a 2 :)", "session_id": 19993, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "Do you know how to solve with exponents?", "session_id": 19993, "sequence_id": 77, "annotations": []}
{"role": "student", "content": "like that", "session_id": 19993, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "no, sorry. If you can't do that with the x's, you can't do it with the 2's\n\nNo worries, though, you're learning!", "session_id": 19993, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "what", "session_id": 19993, "sequence_id": 80, "annotations": []}
{"role": "volunteer", "content": "what's 2^2?", "session_id": 19993, "sequence_id": 81, "annotations": []}
{"role": "student", "content": "4", "session_id": 19993, "sequence_id": 82, "annotations": []}
{"role": "volunteer", "content": "yup", "session_id": 19993, "sequence_id": 83, "annotations": []}
{"role": "student", "content": "ok", "session_id": 19993, "sequence_id": 84, "annotations": []}
{"role": "student", "content": "2^4=8", "session_id": 19993, "sequence_id": 85, "annotations": []}
{"role": "student", "content": "2^3=6", "session_id": 19993, "sequence_id": 86, "annotations": []}
{"role": "volunteer", "content": "okay, so an exponent is when you mutiply a number by the same number", "session_id": 19993, "sequence_id": 87, "annotations": []}
{"role": "student", "content": "oh ok", "session_id": 19993, "sequence_id": 88, "annotations": []}
{"role": "volunteer", "content": "Is that making sense to you?", "session_id": 19993, "sequence_id": 89, "annotations": []}
{"role": "student", "content": "yes", "session_id": 19993, "sequence_id": 90, "annotations": []}
{"role": "volunteer", "content": "Yup! :)", "session_id": 19993, "sequence_id": 91, "annotations": []}
{"role": "volunteer", "content": "correct!", "session_id": 19993, "sequence_id": 92, "annotations": []}
{"role": "volunteer", "content": "yup!", "session_id": 19993, "sequence_id": 93, "annotations": []}
{"role": "volunteer", "content": "do you know what to do from here?", "session_id": 19993, "sequence_id": 94, "annotations": []}
{"role": "student", "content": "I think add them up", "session_id": 19993, "sequence_id": 95, "annotations": []}
{"role": "student", "content": "subtractiom", "session_id": 19993, "sequence_id": 96, "annotations": []}
{"role": "student", "content": "20", "session_id": 19993, "sequence_id": 97, "annotations": []}
{"role": "volunteer", "content": "I think you might've made a mistake with your math, but no worries!\n\nWhat's 16+8?", "session_id": 19993, "sequence_id": 98, "annotations": []}
{"role": "student", "content": "24'", "session_id": 19993, "sequence_id": 99, "annotations": []}
{"role": "volunteer", "content": "Correct, but since the 4, the smaller number, is in front, the number would actually be -20", "session_id": 19993, "sequence_id": 100, "annotations": []}
{"role": "volunteer", "content": "And that's the answer to the question, -20", "session_id": 19993, "sequence_id": 101, "annotations": []}
{"role": "volunteer", "content": "You can write that on your paper :)", "session_id": 19993, "sequence_id": 102, "annotations": []}
{"role": "volunteer", "content": "Any additional questions>", "session_id": 19993, "sequence_id": 103, "annotations": []}
{"role": "student", "content": "yea and thank you and no more question", "session_id": 19993, "sequence_id": 104, "annotations": []}
{"role": "volunteer", "content": "You're welcome! Good luck with school!", "session_id": 19993, "sequence_id": 105, "annotations": []}
{"role": "student", "content": "thanks", "session_id": 19993, "sequence_id": 106, "annotations": []}
{"role": "volunteer", "content": ":)", "session_id": 19993, "sequence_id": 107, "annotations": []}
{"role": "student", "content": "final year", "session_id": 19993, "sequence_id": 108, "annotations": []}
{"role": "student", "content": "of school", "session_id": 19993, "sequence_id": 109, "annotations": []}
{"role": "volunteer", "content": "Wow, I bet that's exciting!", "session_id": 19993, "sequence_id": 110, "annotations": []}
{"role": "student", "content": "yup", "session_id": 19993, "sequence_id": 111, "annotations": []}
{"role": "student", "content": "thanks", "session_id": 19993, "sequence_id": 112, "annotations": []}
{"role": "student", "content": "hii", "session_id": 20005, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "Hi. How are you?", "session_id": 20005, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "Good", "session_id": 20005, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "How are you", "session_id": 20005, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "Good.", "session_id": 20005, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "That's good", "session_id": 20005, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "I see that you are interested in topics from 7th grade math.", "session_id": 20005, "sequence_id": 6, "annotations": [{"pii_type": "GRADE_LEVEL", "surrogate": "7th grade", "start": 45, "end": 54}]}
{"role": "student", "content": "Yeah, because I'm going to 7th grade and I need to catch up", "session_id": 20005, "sequence_id": 7, "annotations": [{"pii_type": "GRADE_LEVEL", "surrogate": "7th grade", "start": 27, "end": 36}]}
{"role": "student", "content": "on my way because", "session_id": 20005, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "I didn't pay attention in 6 and 7th grade classes.", "session_id": 20005, "sequence_id": 9, "annotations": [{"pii_type": "GRADE_LEVEL", "surrogate": "7th grade", "start": 32, "end": 41}]}
{"role": "student", "content": "and I need to catch up a lot. I need help.", "session_id": 20005, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "Um, square roots", "session_id": 20005, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "um, the, the equations where", "session_id": 20005, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "um", "session_id": 20005, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "where you", "session_id": 20005, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "um", "session_id": 20005, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "the ones with the shakes.", "session_id": 20005, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "and um the the uh", "session_id": 20005, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "the um", "session_id": 20005, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "the grids and yeah.", "session_id": 20005, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "Okay. No problem.", "session_id": 20005, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "Um, and", "session_id": 20005, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "on my variables", "session_id": 20005, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "and", "session_id": 20005, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "uh yeah.", "session_id": 20005, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "All right.", "session_id": 20005, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "We can cover each topic step by step.", "session_id": 20005, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "OK", "session_id": 20005, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "Let's start with square roots first.", "session_id": 20005, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "What are you having trouble with?", "session_id": 20005, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "Um", "session_id": 20005, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "uh, I have trouble", "session_id": 20005, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "with, um, everything.", "session_id": 20005, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "Um.", "session_id": 20005, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "well, I understand some parts of square root.", "session_id": 20005, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "when you, when the number", "session_id": 20005, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "you have to like uh what", "session_id": 20005, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "I think it's multiple wise or something.", "session_id": 20005, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "I", "session_id": 20005, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "You are very close.", "session_id": 20005, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "I", "session_id": 20005, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "I", "session_id": 20005, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "I", "session_id": 20005, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 20005, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "I", "session_id": 20005, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "I", "session_id": 20005, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "I", "session_id": 20005, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "Hm.", "session_id": 20005, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "I", "session_id": 20005, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "I", "session_id": 20005, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "I", "session_id": 20005, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "Eastwood, can you hear me?", "session_id": 20005, "sequence_id": 51, "annotations": [{"pii_type": "LOCATION", "surrogate": "Eastwood", "start": 0, "end": 8}]}
{"role": "student", "content": "Yes", "session_id": 20005, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "Good. Hi. So, so we are talking about square roots right now.", "session_id": 20005, "sequence_id": 53, "annotations": []}
{"role": "student", "content": "yeah.", "session_id": 20005, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "All right, so", "session_id": 20005, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "now what do you know exact, um, can you now tell me, what do you know now about square roots.", "session_id": 20005, "sequence_id": 56, "annotations": []}
{"role": "student", "content": "square, I think square roots is like the taste of like, you know, like the, the, the little symbol and the numbers underneath the like symbol.", "session_id": 20005, "sequence_id": 57, "annotations": []}
{"role": "student", "content": "and I think you have to like find where what", "session_id": 20005, "sequence_id": 58, "annotations": []}
{"role": "student", "content": "the number and the square root symbol.", "session_id": 20005, "sequence_id": 59, "annotations": []}
{"role": "student", "content": "is like what you have to find what", "session_id": 20005, "sequence_id": 60, "annotations": []}
{"role": "student", "content": "what like", "session_id": 20005, "sequence_id": 61, "annotations": []}
{"role": "student", "content": "what like an example", "session_id": 20005, "sequence_id": 62, "annotations": []}
{"role": "student", "content": "like 2 times 2 is 4, but the square root is 4, so.", "session_id": 20005, "sequence_id": 63, "annotations": []}
{"role": "student", "content": "um, the answer to", "session_id": 20005, "sequence_id": 64, "annotations": []}
{"role": "student", "content": "square root", "session_id": 20005, "sequence_id": 65, "annotations": []}
{"role": "student", "content": "is", "session_id": 20005, "sequence_id": 66, "annotations": []}
{"role": "student", "content": "4 times 4, I think, I mean 2 times 2, that's what I said.", "session_id": 20005, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "Well, you're, well, you're right on.", "session_id": 20005, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "right on spotting it, you're real correct. It is a symbol that has a number underneath it's so a square root is a value. Now when the when you multiply by the original number, you get get numbers. So let's say you have", "session_id": 20005, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "3", "session_id": 20005, "sequence_id": 70, "annotations": []}
{"role": "student", "content": "Mm", "session_id": 20005, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "3 x 3 = 9", "session_id": 20005, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "x 3 equals 9.", "session_id": 20005, "sequence_id": 73, "annotations": []}
{"role": "student", "content": "Mhm", "session_id": 20005, "sequence_id": 74, "annotations": []}
{"role": "volunteer", "content": "So", "session_id": 20005, "sequence_id": 75, "annotations": []}
{"role": "student", "content": "Mm", "session_id": 20005, "sequence_id": 76, "annotations": []}
{"role": "student", "content": "Mhm", "session_id": 20005, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "and the square root is like a reverse, yeah, of, of this operation, those square root of 9 is 3. So that's an example", "session_id": 20005, "sequence_id": 78, "annotations": []}
{"role": "student", "content": "OK", "session_id": 20005, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "So,", "session_id": 20005, "sequence_id": 80, "annotations": []}
{"role": "volunteer", "content": "3^2 = 9", "session_id": 20005, "sequence_id": 81, "annotations": []}
{"role": "volunteer", "content": "so here you have 3 squared equals 9.", "session_id": 20005, "sequence_id": 82, "annotations": []}
{"role": "volunteer", "content": "and the square root.", "session_id": 20005, "sequence_id": 83, "annotations": []}
{"role": "volunteer", "content": "of 9", "session_id": 20005, "sequence_id": 84, "annotations": []}
{"role": "volunteer", "content": "square root of 9 is 3", "session_id": 20005, "sequence_id": 85, "annotations": []}
{"role": "volunteer", "content": "is 3", "session_id": 20005, "sequence_id": 86, "annotations": []}
{"role": "student", "content": "Oh, so you don't have to like when you like answering like this answer to like a square root. You don't have to like put the whole entire", "session_id": 20005, "sequence_id": 87, "annotations": []}
{"role": "student", "content": "3 times 3", "session_id": 20005, "sequence_id": 88, "annotations": []}
{"role": "student", "content": "equals", "session_id": 20005, "sequence_id": 89, "annotations": []}
{"role": "student", "content": "number.", "session_id": 20005, "sequence_id": 90, "annotations": []}
{"role": "student", "content": "that", "session_id": 20005, "sequence_id": 91, "annotations": []}
{"role": "student", "content": "it multiplies to", "session_id": 20005, "sequence_id": 92, "annotations": []}
{"role": "volunteer", "content": "Exactly, exactly, you're right. So now, all you have to do is find a number and then you find uh and then you multiply it by the same number and you get and you get the product, and the reverse of the product is that original number. You know, you know what, you know", "session_id": 20005, "sequence_id": 93, "annotations": []}
{"role": "volunteer", "content": "what it is?", "session_id": 20005, "sequence_id": 94, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 20005, "sequence_id": 95, "annotations": []}
{"role": "volunteer", "content": "All right then. So let's say I have", "session_id": 20005, "sequence_id": 96, "annotations": []}
{"role": "volunteer", "content": "uh 5 times 5.", "session_id": 20005, "sequence_id": 97, "annotations": []}
{"role": "volunteer", "content": "5 x 5", "session_id": 20005, "sequence_id": 98, "annotations": []}
{"role": "volunteer", "content": "You know what's 5, what's 5 times 5?", "session_id": 20005, "sequence_id": 99, "annotations": []}
{"role": "student", "content": "25", "session_id": 20005, "sequence_id": 100, "annotations": []}
{"role": "volunteer", "content": "Correct? Correct. And as I said, the square root of this is the reverse. So what's the square root of 25?", "session_id": 20005, "sequence_id": 101, "annotations": []}
{"role": "student", "content": "225", "session_id": 20005, "sequence_id": 102, "annotations": []}
{"role": "student", "content": "OK", "session_id": 20005, "sequence_id": 103, "annotations": []}
{"role": "volunteer", "content": "square root of 25", "session_id": 20005, "sequence_id": 104, "annotations": []}
{"role": "student", "content": "30.", "session_id": 20005, "sequence_id": 105, "annotations": []}
{"role": "student", "content": "5", "session_id": 20005, "sequence_id": 106, "annotations": []}
{"role": "volunteer", "content": "Correct? You're absolutely right. You got it.", "session_id": 20005, "sequence_id": 107, "annotations": []}
{"role": "student", "content": "OK", "session_id": 20005, "sequence_id": 108, "annotations": []}
{"role": "student", "content": "OK, it seems like I'm not bad at this at all. It's probably.", "session_id": 20005, "sequence_id": 109, "annotations": []}
{"role": "student", "content": "some", "session_id": 20005, "sequence_id": 110, "annotations": []}
{"role": "student", "content": "Yeah, OK", "session_id": 20005, "sequence_id": 111, "annotations": []}
{"role": "student", "content": "Um", "session_id": 20005, "sequence_id": 112, "annotations": []}
{"role": "student", "content": "but", "session_id": 20005, "sequence_id": 113, "annotations": []}
{"role": "volunteer", "content": "It's OK. It's OK.", "session_id": 20005, "sequence_id": 114, "annotations": []}
{"role": "student", "content": "um", "session_id": 20005, "sequence_id": 115, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 20005, "sequence_id": 116, "annotations": []}
{"role": "volunteer", "content": "uh, every, everybody now struggles with something at times, but that's OK.", "session_id": 20005, "sequence_id": 117, "annotations": []}
{"role": "student", "content": "we also need help with my division because", "session_id": 20005, "sequence_id": 118, "annotations": []}
{"role": "student", "content": "7th grade, I was", "session_id": 20005, "sequence_id": 119, "annotations": [{"pii_type": "GRADE_LEVEL", "surrogate": "7th grade", "start": 0, "end": 9}]}
{"role": "student", "content": "dividing 32 with bigger numbers and it wasn't, I know most of my uh timetables, I don't really know.", "session_id": 20005, "sequence_id": 120, "annotations": []}
{"role": "student", "content": "I know, I don't really know my sevens, my", "session_id": 20005, "sequence_id": 121, "annotations": []}
{"role": "student", "content": "nor my 8 and I almost know my tools.", "session_id": 20005, "sequence_id": 122, "annotations": []}
{"role": "student", "content": "mm, not really so.", "session_id": 20005, "sequence_id": 123, "annotations": []}
{"role": "student", "content": "I need to catch up on most of my timetable because", "session_id": 20005, "sequence_id": 124, "annotations": []}
{"role": "volunteer", "content": "So,", "session_id": 20005, "sequence_id": 125, "annotations": []}
{"role": "student", "content": "yeah, I had a whole bunch of things distracting me for from sledding and", "session_id": 20005, "sequence_id": 126, "annotations": []}
{"role": "volunteer", "content": "so you're struggling, you say you're struggling with sevens and eights.", "session_id": 20005, "sequence_id": 127, "annotations": []}
{"role": "student", "content": "yeah, most of them, yeah", "session_id": 20005, "sequence_id": 128, "annotations": []}
{"role": "volunteer", "content": "I see. Well, that's OK. We can cover that too.", "session_id": 20005, "sequence_id": 129, "annotations": []}
{"role": "volunteer", "content": "Um", "session_id": 20005, "sequence_id": 130, "annotations": []}
{"role": "volunteer", "content": "so do you have your timetable with you?", "session_id": 20005, "sequence_id": 131, "annotations": []}
{"role": "student", "content": "I don't have any timetables", "session_id": 20005, "sequence_id": 132, "annotations": []}
{"role": "student", "content": "with me", "session_id": 20005, "sequence_id": 133, "annotations": []}
{"role": "volunteer", "content": "All right then.", "session_id": 20005, "sequence_id": 134, "annotations": []}
{"role": "volunteer", "content": "Do you have a grid next to you now that you can, you know, draw.", "session_id": 20005, "sequence_id": 135, "annotations": []}
{"role": "student", "content": "Um, the joint is the drying thing on here.", "session_id": 20005, "sequence_id": 136, "annotations": []}
{"role": "volunteer", "content": "All right then.", "session_id": 20005, "sequence_id": 137, "annotations": []}
{"role": "volunteer", "content": "So, one of the easiest way that to multiply is.", "session_id": 20005, "sequence_id": 138, "annotations": []}
{"role": "volunteer", "content": "So now let's say you have as an example, you have 7 times 2.", "session_id": 20005, "sequence_id": 139, "annotations": []}
{"role": "volunteer", "content": "And", "session_id": 20005, "sequence_id": 140, "annotations": []}
{"role": "student", "content": "I know, that's 14.", "session_id": 20005, "sequence_id": 141, "annotations": []}
{"role": "volunteer", "content": "no, that's right. That's right. And", "session_id": 20005, "sequence_id": 142, "annotations": []}
{"role": "volunteer", "content": "and then let's go to the next number 7 x 3.", "session_id": 20005, "sequence_id": 143, "annotations": []}
{"role": "student", "content": "Um.", "session_id": 20005, "sequence_id": 144, "annotations": []}
{"role": "student", "content": "5.", "session_id": 20005, "sequence_id": 145, "annotations": []}
{"role": "volunteer", "content": "You can know when you go the next number, you always add 7 to it. Let's say 7 x 2 is 14 and 14 + 7.", "session_id": 20005, "sequence_id": 146, "annotations": []}
{"role": "volunteer", "content": "is 21. That's so 7 times 2.", "session_id": 20005, "sequence_id": 147, "annotations": []}
{"role": "volunteer", "content": "7 x 2 = 14", "session_id": 20005, "sequence_id": 148, "annotations": []}
{"role": "volunteer", "content": "14.", "session_id": 20005, "sequence_id": 149, "annotations": []}
{"role": "student", "content": "Also like you just add on the number to like the answer you got from there.", "session_id": 20005, "sequence_id": 150, "annotations": []}
{"role": "student", "content": "Oh", "session_id": 20005, "sequence_id": 151, "annotations": []}
{"role": "volunteer", "content": "7 x 3 = 21", "session_id": 20005, "sequence_id": 152, "annotations": []}
{"role": "volunteer", "content": "That's right. So, 7 x 3 is 21, and if you go on to 7 x 4.", "session_id": 20005, "sequence_id": 153, "annotations": []}
{"role": "volunteer", "content": "the what, what do you think the answer can be?", "session_id": 20005, "sequence_id": 154, "annotations": []}
{"role": "student", "content": "um", "session_id": 20005, "sequence_id": 155, "annotations": []}
{"role": "student", "content": "wait, I need time to eat. Let me see.", "session_id": 20005, "sequence_id": 156, "annotations": []}
{"role": "volunteer", "content": "That's OK. That's OK.", "session_id": 20005, "sequence_id": 157, "annotations": []}
{"role": "volunteer", "content": "I'm a rehab", "session_id": 20005, "sequence_id": 158, "annotations": []}
{"role": "volunteer", "content": "The basement grow is that you always have to add 7 each time.", "session_id": 20005, "sequence_id": 159, "annotations": []}
{"role": "student", "content": "28", "session_id": 20005, "sequence_id": 160, "annotations": []}
{"role": "volunteer", "content": "That's correct. You got it. Time's tour is 28.", "session_id": 20005, "sequence_id": 161, "annotations": []}
{"role": "student", "content": "OK", "session_id": 20005, "sequence_id": 162, "annotations": []}
{"role": "volunteer", "content": "And the same goes with 8s. So you have 8 times 1 is 8.", "session_id": 20005, "sequence_id": 163, "annotations": []}
{"role": "volunteer", "content": "What do you think it's 8 x 2?", "session_id": 20005, "sequence_id": 164, "annotations": []}
{"role": "student", "content": "times 2.", "session_id": 20005, "sequence_id": 165, "annotations": []}
{"role": "student", "content": "uh", "session_id": 20005, "sequence_id": 166, "annotations": []}
{"role": "student", "content": "is it 16", "session_id": 20005, "sequence_id": 167, "annotations": []}
{"role": "volunteer", "content": "That's right, 16. And if you go to the next number, 8 times 3, you have to add 16.", "session_id": 20005, "sequence_id": 168, "annotations": []}
{"role": "volunteer", "content": "+ 8. What do you think 16+ say this?", "session_id": 20005, "sequence_id": 169, "annotations": []}
{"role": "volunteer", "content": "Right", "session_id": 20005, "sequence_id": 170, "annotations": []}
{"role": "student", "content": "3", "session_id": 20005, "sequence_id": 171, "annotations": []}
{"role": "volunteer", "content": "Close", "session_id": 20005, "sequence_id": 172, "annotations": []}
{"role": "student", "content": "OK", "session_id": 20005, "sequence_id": 173, "annotations": []}
{"role": "volunteer", "content": "16 + 8", "session_id": 20005, "sequence_id": 174, "annotations": []}
{"role": "student", "content": "24", "session_id": 20005, "sequence_id": 175, "annotations": []}
{"role": "volunteer", "content": "Correct. You got it.", "session_id": 20005, "sequence_id": 176, "annotations": []}
{"role": "student", "content": "OK", "session_id": 20005, "sequence_id": 177, "annotations": []}
{"role": "student", "content": "Mhm.", "session_id": 20005, "sequence_id": 178, "annotations": []}
{"role": "student", "content": "2", "session_id": 20005, "sequence_id": 179, "annotations": []}
{"role": "volunteer", "content": "Or um", "session_id": 20005, "sequence_id": 180, "annotations": []}
{"role": "volunteer", "content": "another easy way to have this, so let's say you have", "session_id": 20005, "sequence_id": 181, "annotations": []}
{"role": "volunteer", "content": "a grid", "session_id": 20005, "sequence_id": 182, "annotations": []}
{"role": "volunteer", "content": "I don't know if you can see.", "session_id": 20005, "sequence_id": 183, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 20005, "sequence_id": 184, "annotations": []}
{"role": "student", "content": "I", "session_id": 20005, "sequence_id": 185, "annotations": []}
{"role": "student", "content": "you", "session_id": 20005, "sequence_id": 186, "annotations": []}
{"role": "volunteer", "content": "that if you have a piece of paper with you from the button you draw up.", "session_id": 20005, "sequence_id": 187, "annotations": []}
{"role": "volunteer", "content": "a square", "session_id": 20005, "sequence_id": 188, "annotations": []}
{"role": "student", "content": "customizing", "session_id": 20005, "sequence_id": 189, "annotations": []}
{"role": "student", "content": "you", "session_id": 20005, "sequence_id": 190, "annotations": []}
{"role": "student", "content": "I can see it", "session_id": 20005, "sequence_id": 191, "annotations": []}
{"role": "volunteer", "content": "All right then. So, let's say you have uh", "session_id": 20005, "sequence_id": 192, "annotations": []}
{"role": "volunteer", "content": "you have 7 tiles uh horizontally.", "session_id": 20005, "sequence_id": 193, "annotations": []}
{"role": "student", "content": "Mhm.", "session_id": 20005, "sequence_id": 194, "annotations": []}
{"role": "student", "content": "Oh", "session_id": 20005, "sequence_id": 195, "annotations": []}
{"role": "volunteer", "content": "let you have 7 tiles horizontally to 34567, and you have 3", "session_id": 20005, "sequence_id": 196, "annotations": []}
{"role": "volunteer", "content": "3 tiles on the vertically. 123.", "session_id": 20005, "sequence_id": 197, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 20005, "sequence_id": 198, "annotations": []}
{"role": "volunteer", "content": "Another intimately say is that if you just multiply 3 tiles horizontally.", "session_id": 20005, "sequence_id": 199, "annotations": []}
{"role": "volunteer", "content": "Here is", "session_id": 20005, "sequence_id": 200, "annotations": []}
{"role": "volunteer", "content": "3, and here is 7. All you have to do is just count how many tiles are in that square.", "session_id": 20005, "sequence_id": 201, "annotations": []}
{"role": "student", "content": "Um", "session_id": 20005, "sequence_id": 202, "annotations": []}
{"role": "student", "content": "uh", "session_id": 20005, "sequence_id": 203, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 20005, "sequence_id": 204, "annotations": []}
{"role": "student", "content": "Like all of them", "session_id": 20005, "sequence_id": 205, "annotations": []}
{"role": "student", "content": "like this in the square", "session_id": 20005, "sequence_id": 206, "annotations": []}
{"role": "volunteer", "content": "Do you remember what 7 times 3 is?", "session_id": 20005, "sequence_id": 207, "annotations": []}
{"role": "student", "content": "Uh.", "session_id": 20005, "sequence_id": 208, "annotations": []}
{"role": "student", "content": "it's 28, right", "session_id": 20005, "sequence_id": 209, "annotations": []}
{"role": "volunteer", "content": "Not quite. Count how many in the tiles are in the square.", "session_id": 20005, "sequence_id": 210, "annotations": []}
{"role": "student", "content": "Oh, OK", "session_id": 20005, "sequence_id": 211, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 20005, "sequence_id": 212, "annotations": []}
{"role": "student", "content": "21", "session_id": 20005, "sequence_id": 213, "annotations": []}
{"role": "volunteer", "content": "Correct, you got it", "session_id": 20005, "sequence_id": 214, "annotations": []}
{"role": "volunteer", "content": "You're doing a really good job.", "session_id": 20005, "sequence_id": 215, "annotations": []}
{"role": "student", "content": "OK", "session_id": 20005, "sequence_id": 216, "annotations": []}
{"role": "volunteer", "content": "All right then.", "session_id": 20005, "sequence_id": 217, "annotations": []}
{"role": "volunteer", "content": "And the same goes for AIDS.", "session_id": 20005, "sequence_id": 218, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 20005, "sequence_id": 219, "annotations": []}
{"role": "volunteer", "content": "You know, if you're really struggling with it always, you can always draw a square like that on a grid", "session_id": 20005, "sequence_id": 220, "annotations": []}
{"role": "volunteer", "content": "and so let's say 8 times 3, just 8 tiles horizontally and 3 tiles vertically and see how many uh tiles are in the square like that.", "session_id": 20005, "sequence_id": 221, "annotations": []}
{"role": "student", "content": "Oh, I'm listening, you", "session_id": 20005, "sequence_id": 222, "annotations": []}
{"role": "student", "content": "know how I know it, they do like those um letters plus a letter and I get like the answer.", "session_id": 20005, "sequence_id": 223, "annotations": []}
{"role": "student", "content": "That's what I'm pretty sure I don't know what I'm doing for 7th grade, but I don't want to be prepared.", "session_id": 20005, "sequence_id": 224, "annotations": [{"pii_type": "GRADE_LEVEL", "surrogate": "7th grade", "start": 60, "end": 69}]}
{"role": "student", "content": "and stuff", "session_id": 20005, "sequence_id": 225, "annotations": []}
{"role": "volunteer", "content": "So", "session_id": 20005, "sequence_id": 226, "annotations": []}
{"role": "student", "content": "Mhm.", "session_id": 20005, "sequence_id": 227, "annotations": []}
{"role": "volunteer", "content": "so now those are, are you struggling with variables?", "session_id": 20005, "sequence_id": 228, "annotations": []}
{"role": "student", "content": "Yeah, variables", "session_id": 20005, "sequence_id": 229, "annotations": []}
{"role": "volunteer", "content": "I see. So", "session_id": 20005, "sequence_id": 230, "annotations": []}
{"role": "volunteer", "content": "um,", "session_id": 20005, "sequence_id": 231, "annotations": []}
{"role": "volunteer", "content": "I think what you're studying right now is basic algebra. You go into basic algebra", "session_id": 20005, "sequence_id": 232, "annotations": []}
{"role": "volunteer", "content": "Um", "session_id": 20005, "sequence_id": 233, "annotations": []}
{"role": "volunteer", "content": "let's start with the the most easy example.", "session_id": 20005, "sequence_id": 234, "annotations": []}
{"role": "volunteer", "content": "So let's say you have X + X.", "session_id": 20005, "sequence_id": 235, "annotations": []}
{"role": "volunteer", "content": "x + x", "session_id": 20005, "sequence_id": 236, "annotations": []}
{"role": "volunteer", "content": "And let's say", "session_id": 20005, "sequence_id": 237, "annotations": []}
{"role": "volunteer", "content": "and let's say that in front of those exes you have", "session_id": 20005, "sequence_id": 238, "annotations": []}
{"role": "volunteer", "content": "we have an invisible one.", "session_id": 20005, "sequence_id": 239, "annotations": []}
{"role": "volunteer", "content": "1x + 1x", "session_id": 20005, "sequence_id": 240, "annotations": []}
{"role": "volunteer", "content": "It's almost the same as 1 x + 1 X.", "session_id": 20005, "sequence_id": 241, "annotations": []}
{"role": "student", "content": "Mm", "session_id": 20005, "sequence_id": 242, "annotations": []}
{"role": "volunteer", "content": "What what do you think 1 X plus 1 x is.", "session_id": 20005, "sequence_id": 243, "annotations": []}
{"role": "student", "content": "2", "session_id": 20005, "sequence_id": 244, "annotations": []}
{"role": "volunteer", "content": "What's that", "session_id": 20005, "sequence_id": 245, "annotations": []}
{"role": "volunteer", "content": "2x", "session_id": 20005, "sequence_id": 246, "annotations": []}
{"role": "volunteer", "content": "2 X.", "session_id": 20005, "sequence_id": 247, "annotations": []}
{"role": "volunteer", "content": "You got it.", "session_id": 20005, "sequence_id": 248, "annotations": []}
{"role": "volunteer", "content": "to it.", "session_id": 20005, "sequence_id": 249, "annotations": []}
{"role": "student", "content": "Right, how, wait.", "session_id": 20005, "sequence_id": 250, "annotations": []}
{"role": "student", "content": "so like", "session_id": 20005, "sequence_id": 251, "annotations": []}
{"role": "student", "content": "like our exes like that, um, like, are they like", "session_id": 20005, "sequence_id": 252, "annotations": []}
{"role": "student", "content": "do most letters represent a number like how like is", "session_id": 20005, "sequence_id": 253, "annotations": []}
{"role": "student", "content": "X always one", "session_id": 20005, "sequence_id": 254, "annotations": []}
{"role": "volunteer", "content": "So, if you have a coefficient. So a variable is also called a coefficient.", "session_id": 20005, "sequence_id": 255, "annotations": []}
{"role": "volunteer", "content": "Um.", "session_id": 20005, "sequence_id": 256, "annotations": []}
{"role": "volunteer", "content": "and in there's only a letter, just imagine that there's always a one in front of it.", "session_id": 20005, "sequence_id": 257, "annotations": []}
{"role": "volunteer", "content": "That is called the coefficient, and the letter is the variable. So 1,", "session_id": 20005, "sequence_id": 258, "annotations": []}
{"role": "volunteer", "content": "is the", "session_id": 20005, "sequence_id": 259, "annotations": []}
{"role": "volunteer", "content": "coefficient", "session_id": 20005, "sequence_id": 260, "annotations": []}
{"role": "volunteer", "content": "1 is the coefficient", "session_id": 20005, "sequence_id": 261, "annotations": []}
{"role": "volunteer", "content": "and x is the variable", "session_id": 20005, "sequence_id": 262, "annotations": []}
{"role": "volunteer", "content": "and X is the variable.", "session_id": 20005, "sequence_id": 263, "annotations": []}
{"role": "volunteer", "content": "And let's, so I'll give you another example.", "session_id": 20005, "sequence_id": 264, "annotations": []}
{"role": "volunteer", "content": "Let's say you have 2 eggs.", "session_id": 20005, "sequence_id": 265, "annotations": []}
{"role": "volunteer", "content": "+", "session_id": 20005, "sequence_id": 266, "annotations": []}
{"role": "volunteer", "content": "2x + 3x", "session_id": 20005, "sequence_id": 267, "annotations": []}
{"role": "volunteer", "content": "3 X", "session_id": 20005, "sequence_id": 268, "annotations": []}
{"role": "student", "content": "Um", "session_id": 20005, "sequence_id": 269, "annotations": []}
{"role": "student", "content": "5", "session_id": 20005, "sequence_id": 270, "annotations": []}
{"role": "volunteer", "content": "5, you got it.", "session_id": 20005, "sequence_id": 271, "annotations": []}
{"role": "volunteer", "content": "equals 5 X", "session_id": 20005, "sequence_id": 272, "annotations": []}
{"role": "student", "content": "Wait, wait, I'm confused cause", "session_id": 20005, "sequence_id": 273, "annotations": []}
{"role": "student", "content": "can you like explain how like", "session_id": 20005, "sequence_id": 274, "annotations": []}
{"role": "student", "content": "the", "session_id": 20005, "sequence_id": 275, "annotations": []}
{"role": "student", "content": "like, how do you like know how, like what letter represents one on because", "session_id": 20005, "sequence_id": 276, "annotations": []}
{"role": "student", "content": "I said didn't catch on to that part.", "session_id": 20005, "sequence_id": 277, "annotations": []}
{"role": "volunteer", "content": "Well, to be honest, it doesn't really matter what kind of leather you choose. You can choose any letter. The moon's most important thing is that to what kind of numbers are you solving? The letter doesn't really matter.", "session_id": 20005, "sequence_id": 278, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 20005, "sequence_id": 279, "annotations": []}
{"role": "volunteer", "content": "It could be", "session_id": 20005, "sequence_id": 280, "annotations": []}
{"role": "volunteer", "content": "you could choose 3A or 3Z or", "session_id": 20005, "sequence_id": 281, "annotations": []}
{"role": "volunteer", "content": "3Y. it doesn't really matter.", "session_id": 20005, "sequence_id": 282, "annotations": []}
{"role": "volunteer", "content": "All right, and have you grassed consent or do you need help additional help on this topic.", "session_id": 20005, "sequence_id": 283, "annotations": []}
{"role": "student", "content": "Then", "session_id": 20005, "sequence_id": 284, "annotations": []}
{"role": "volunteer", "content": "Do you need more help", "session_id": 20005, "sequence_id": 285, "annotations": []}
{"role": "student", "content": "um", "session_id": 20005, "sequence_id": 286, "annotations": []}
{"role": "student", "content": "he like, like, like give me like some more examples so I know like if I really caught on", "session_id": 20005, "sequence_id": 287, "annotations": []}
{"role": "student", "content": "like if I really understand", "session_id": 20005, "sequence_id": 288, "annotations": []}
{"role": "volunteer", "content": "All right then.", "session_id": 20005, "sequence_id": 289, "annotations": []}
{"role": "volunteer", "content": "Here are some examples. Let's say have", "session_id": 20005, "sequence_id": 290, "annotations": []}
{"role": "volunteer", "content": "5z + 3z", "session_id": 20005, "sequence_id": 291, "annotations": []}
{"role": "student", "content": "Right.", "session_id": 20005, "sequence_id": 292, "annotations": []}
{"role": "student", "content": "AD", "session_id": 20005, "sequence_id": 293, "annotations": []}
{"role": "volunteer", "content": "Correct, you got it. How about this one?", "session_id": 20005, "sequence_id": 294, "annotations": []}
{"role": "volunteer", "content": "9y + 6y", "session_id": 20005, "sequence_id": 295, "annotations": []}
{"role": "student", "content": "155", "session_id": 20005, "sequence_id": 296, "annotations": []}
{"role": "volunteer", "content": "You got it. Correct.", "session_id": 20005, "sequence_id": 297, "annotations": []}
{"role": "student", "content": "OK", "session_id": 20005, "sequence_id": 298, "annotations": []}
{"role": "volunteer", "content": "Good job", "session_id": 20005, "sequence_id": 299, "annotations": []}
{"role": "volunteer", "content": "All right then", "session_id": 20005, "sequence_id": 300, "annotations": []}
{"role": "volunteer", "content": "Now, Liam, is there anything else you needed help on?", "session_id": 20005, "sequence_id": 301, "annotations": [{"pii_type": "PERSON", "surrogate": "Liam", "start": 5, "end": 9}]}
{"role": "student", "content": "Um", "session_id": 20005, "sequence_id": 302, "annotations": []}
{"role": "student", "content": "uh no", "session_id": 20005, "sequence_id": 303, "annotations": []}
{"role": "volunteer", "content": "So, yeah, so you got everything you needed?", "session_id": 20005, "sequence_id": 304, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 20005, "sequence_id": 305, "annotations": []}
{"role": "volunteer", "content": "No", "session_id": 20005, "sequence_id": 306, "annotations": []}
{"role": "volunteer", "content": "So you, you stood how square roots work, um, yeah, how timetables on certain numbers work and the coefficients.", "session_id": 20005, "sequence_id": 307, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 20005, "sequence_id": 308, "annotations": []}
{"role": "volunteer", "content": "All right then. Well, have a good day.", "session_id": 20005, "sequence_id": 309, "annotations": []}
{"role": "student", "content": "You too", "session_id": 20005, "sequence_id": 310, "annotations": []}
{"role": "volunteer", "content": "Bye-bye.", "session_id": 20005, "sequence_id": 311, "annotations": []}
{"role": "student", "content": "Bye", "session_id": 20005, "sequence_id": 312, "annotations": []}
{"role": "student", "content": "hi", "session_id": 20158, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "Hi Alex!  My name is Jessica.  How are you doing today?", "session_id": 20158, "sequence_id": 1, "annotations": [{"pii_type": "PERSON", "surrogate": "Alex", "start": 3, "end": 7}, {"pii_type": "PERSON", "surrogate": "Jessica", "start": 21, "end": 28}]}
{"role": "student", "content": "im good how are you?", "session_id": 20158, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "I'm doing good!  Thank you for asking!", "session_id": 20158, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "How can I help you today?", "session_id": 20158, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "Thats good! im glad to hear that! today im working on multiplying radicals.. im pretty decent at it but i was hoping yo could check my problems as i work?", "session_id": 20158, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "Like double check your answers?", "session_id": 20158, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "yes ma'am", "session_id": 20158, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "How many problems do you have?", "session_id": 20158, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "20", "session_id": 20158, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "And have you completed them yet?  Just trying to assess if I will have enough time to help out", "session_id": 20158, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "not all of them are done, but im getting through them quickly.. the part im struggling on is finding ut when and how to simplify after i have solved", "session_id": 20158, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "I can probably help out with 3 of them depending on how complicated the problems are and how quickly you can get through it.  I have about 30 minutes before I have to go", "session_id": 20158, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "okay thats fine!", "session_id": 20158, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "Great!  Let's take a look at the first one", "session_id": 20158, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "for this one i got 50", "session_id": 20158, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "Ok, do you have any work to show as well?", "session_id": 20158, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "no", "session_id": 20158, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "Ok", "session_id": 20158, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "Do you mean 50 or (50)^1/2?", "session_id": 20158, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "Ok.  Then yes, it;s coorect :)", "session_id": 20158, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "okay ty, no need to simpify that correct?", "session_id": 20158, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "Actually, yes", "session_id": 20158, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "There is a square that can be multipled by another number to make 50", "session_id": 20158, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "Can you guess what it is?", "session_id": 20158, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "5 and 10?", "session_id": 20158, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "What numbers can you multiply to make 10?", "session_id": 20158, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "2 and 5", "session_id": 20158, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "Yes, let me write this on the board", "session_id": 20158, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "How should we simplify our answer?", "session_id": 20158, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "multiply it?", "session_id": 20158, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "Yes, so what is our simplified answer based on what we talked aboit?", "session_id": 20158, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "about*", "session_id": 20158, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "5 and 10 unless its 1 and 5", "session_id": 20158, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "im not sure", "session_id": 20158, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "So when you multiply numbers with the same radical, you can place all of the numbers being multiplied under the radical", "session_id": 20158, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "Like how I wrote it just now", "session_id": 20158, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "What is the square root of 5 multiplied by itself?", "session_id": 20158, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "5", "session_id": 20158, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "Yes!  So how can we simplify our answer then?", "session_id": 20158, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "i dont know", "session_id": 20158, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "That's ok", "session_id": 20158, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "Is the way I rewrote the equation easier, or not really?", "session_id": 20158, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "5 and 2?", "session_id": 20158, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "the square root of 5 times the square root of 5 times the square root of 2", "session_id": 20158, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "Since the square root of 5 multiplied by itself is 5", "session_id": 20158, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "our final simplified answer would be 5 times the square root of 2", "session_id": 20158, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "Like I wrote on the board", "session_id": 20158, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "Does that make sense?", "session_id": 20158, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "yes", "session_id": 20158, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "Good :)", "session_id": 20158, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "I'm going to reset the whiteboard if we are finished with this problem.  Is that ok?", "session_id": 20158, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "yes", "session_id": 20158, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "Ok, go ahead and post the next one :)", "session_id": 20158, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "Your answer is correct, but it still needs to be simplified", "session_id": 20158, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "Based on how we solved the previous problem, what do you think we should do first?", "session_id": 20158, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "to simplify it?", "session_id": 20158, "sequence_id": 56, "annotations": []}
{"role": "student", "content": "tbh idk im confused still", "session_id": 20158, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "No worries :)", "session_id": 20158, "sequence_id": 58, "annotations": []}
{"role": "student", "content": "thank you for being paitent", "session_id": 20158, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "Of course :)", "session_id": 20158, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "So one of the first things I like to do when simplifying radicals is determining if the number inside the radical can be broken down into smaller numbers multiplied by each other", "session_id": 20158, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "How can we break down 48 into smaller numbers multiplied together?", "session_id": 20158, "sequence_id": 62, "annotations": []}
{"role": "student", "content": "wouldnt i just say the numbers i already multiplied by or would i change the numbers?", "session_id": 20158, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "You could as a first step.  So we are breaking down 48 into 8 times 6", "session_id": 20158, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "Could we break these numbers down further?", "session_id": 20158, "sequence_id": 65, "annotations": []}
{"role": "student", "content": "yes", "session_id": 20158, "sequence_id": 66, "annotations": []}
{"role": "student", "content": "4 and 3", "session_id": 20158, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "So 4 times 3?", "session_id": 20158, "sequence_id": 68, "annotations": []}
{"role": "student", "content": "i dont think we can break those down any further", "session_id": 20158, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "What numbers can you multiply together to get 8?", "session_id": 20158, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "Other than 1 and 8 of course", "session_id": 20158, "sequence_id": 71, "annotations": []}
{"role": "student", "content": "4 and 2", "session_id": 20158, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "How about 6?", "session_id": 20158, "sequence_id": 73, "annotations": []}
{"role": "student", "content": "3 and 2", "session_id": 20158, "sequence_id": 74, "annotations": []}
{"role": "volunteer", "content": "Let's rewrite this", "session_id": 20158, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "Can 4 be broken down further?", "session_id": 20158, "sequence_id": 76, "annotations": []}
{"role": "student", "content": "2 and 2", "session_id": 20158, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "YEs!", "session_id": 20158, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "You are getting the hang of this", "session_id": 20158, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "Now what should we do?", "session_id": 20158, "sequence_id": 80, "annotations": []}
{"role": "student", "content": "multiply", "session_id": 20158, "sequence_id": 81, "annotations": []}
{"role": "volunteer", "content": "Yup, what is our simplified answer based on what we have here?", "session_id": 20158, "sequence_id": 82, "annotations": []}
{"role": "student", "content": "2 \u221a3?", "session_id": 20158, "sequence_id": 83, "annotations": []}
{"role": "volunteer", "content": "So we have 4 numbers 2's", "session_id": 20158, "sequence_id": 84, "annotations": []}
{"role": "student", "content": "4 \u221a3?", "session_id": 20158, "sequence_id": 85, "annotations": []}
{"role": "volunteer", "content": "Or 4 square root of 2's", "session_id": 20158, "sequence_id": 86, "annotations": []}
{"role": "volunteer", "content": "Yes! :D", "session_id": 20158, "sequence_id": 87, "annotations": []}
{"role": "volunteer", "content": "- 4v3", "session_id": 20158, "sequence_id": 88, "annotations": []}
{"role": "volunteer", "content": "to be more specific", "session_id": 20158, "sequence_id": 89, "annotations": []}
{"role": "student", "content": "yes yes!", "session_id": 20158, "sequence_id": 90, "annotations": []}
{"role": "volunteer", "content": "Does this all make more sense now?", "session_id": 20158, "sequence_id": 91, "annotations": []}
{"role": "student", "content": "yes it does thank you sooo much ^^", "session_id": 20158, "sequence_id": 92, "annotations": []}
{"role": "volunteer", "content": "You're welcome! :)", "session_id": 20158, "sequence_id": 93, "annotations": []}
{"role": "student", "content": "Have a wonderful night ma'am thank u!", "session_id": 20158, "sequence_id": 94, "annotations": []}
{"role": "volunteer", "content": "Hi hi", "session_id": 20210, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "Hii! How are you doing?", "session_id": 20210, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "I'm good. How are you?", "session_id": 20210, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "Great.", "session_id": 20210, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "wonderful", "session_id": 20210, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "example.com", "session_id": 20210, "sequence_id": 5, "annotations": [{"pii_type": "URL", "surrogate": "example.com", "start": 0, "end": 11}]}
{"role": "volunteer", "content": "lets do some practice problems for inverse trig", "session_id": 20210, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "Okay!", "session_id": 20210, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "did you make this?", "session_id": 20210, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "no", "session_id": 20210, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "found it", "session_id": 20210, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "oh okay!", "session_id": 20210, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "I think questiin no. 7 is wrong.", "session_id": 20210, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "correct", "session_id": 20210, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "pi/3 >1", "session_id": 20210, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "therefore outside the domain", "session_id": 20210, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "yes. right", "session_id": 20210, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "undefined the answer key says", "session_id": 20210, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "calculator says invalid input", "session_id": 20210, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "how it will be undefined", "session_id": 20210, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "because its outside the domain, we don't know what having an opposite that is larger than the hypothenuse looks like", "session_id": 20210, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "there is no triangle like that", "session_id": 20210, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "yes, there won't be such triangle", "session_id": 20210, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "can give little hint for question no.12?", "session_id": 20210, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "yea", "session_id": 20210, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "1/sin(-pi/2)", "session_id": 20210, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "oh okay. no don't solve it", "session_id": 20210, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "I wasn't, that was the hint", "session_id": 20210, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "Okay. I thought it was csc - pie/2 like subtracting.", "session_id": 20210, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "lol", "session_id": 20210, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "do I write answers over here?", "session_id": 20210, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "you don't have to, the second page has the answers", "session_id": 20210, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "you can compare", "session_id": 20210, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "\ud83d\udc4d", "session_id": 20210, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "example.org", "session_id": 20210, "sequence_id": 34, "annotations": [{"pii_type": "URL", "surrogate": "example.org", "start": 0, "end": 11}]}
{"role": "volunteer", "content": "this one can you cast it", "session_id": 20210, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "it involves graphs", "session_id": 20210, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "ok, gimme a min pls", "session_id": 20210, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "I got them all right.", "session_id": 20210, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 20210, "sequence_id": 39, "annotations": []}
{"role": "student", "content": ":)", "session_id": 20210, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "first page is good to do", "session_id": 20210, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 20210, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "this is a great worksheet to do if you can scroll down", "session_id": 20210, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "that was fine lets do the graphs starting with the first page", "session_id": 20210, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "ok", "session_id": 20210, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "Is that correct?", "session_id": 20210, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "Is that the first or second triangle?", "session_id": 20210, "sequence_id": 47, "annotations": []}
{"role": "student", "content": "first", "session_id": 20210, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "can you scroll up", "session_id": 20210, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "x is not the hypothenuse", "session_id": 20210, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "you swapped the x and 9", "session_id": 20210, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "right, sorry", "session_id": 20210, "sequence_id": 52, "annotations": []}
{"role": "student", "content": "what u think now?", "session_id": 20210, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "correct", "session_id": 20210, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "thats better", "session_id": 20210, "sequence_id": 55, "annotations": []}
{"role": "student", "content": "yup!", "session_id": 20210, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "good catch", "session_id": 20210, "sequence_id": 57, "annotations": []}
{"role": "student", "content": "I keep swapping them.", "session_id": 20210, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "you also reflect the triangle over the y-axis", "session_id": 20210, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "not a big deal but you forget to move the side values with the reflection", "session_id": 20210, "sequence_id": 60, "annotations": []}
{"role": "student", "content": "yes, I keep getting confuse in it. have to check value multiple times.", "session_id": 20210, "sequence_id": 61, "annotations": []}
{"role": "student", "content": "is that correct?", "session_id": 20210, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "yes but you can solve that further", "session_id": 20210, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "what is the angle", "session_id": 20210, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "you can do degrees or decimal", "session_id": 20210, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "correct", "session_id": 20210, "sequence_id": 66, "annotations": []}
{"role": "student", "content": "can we solve x in degrees without calculator?", "session_id": 20210, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "not really", "session_id": 20210, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "its not simple calculation", "session_id": 20210, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "you could multiply radians 180/pi", "session_id": 20210, "sequence_id": 70, "annotations": []}
{"role": "student", "content": "yeah, that would convert radians to degrees", "session_id": 20210, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "but not simple", "session_id": 20210, "sequence_id": 72, "annotations": []}
{"role": "student", "content": "oh okay. i was just curious.", "session_id": 20210, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "double check you domain and range", "session_id": 20210, "sequence_id": 74, "annotations": []}
{"role": "volunteer", "content": "this is for sin not arcsin", "session_id": 20210, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "your range was right my bad", "session_id": 20210, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "the domain was wrong", "session_id": 20210, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "whats the entire domain for sin and cos", "session_id": 20210, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 20210, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "good job", "session_id": 20210, "sequence_id": 80, "annotations": []}
{"role": "student", "content": "thank you!", "session_id": 20210, "sequence_id": 81, "annotations": []}
{"role": "student", "content": "what does it mean by principal values", "session_id": 20210, "sequence_id": 82, "annotations": []}
{"role": "volunteer", "content": "they are the values in the range of the function that are used to define the inverse", "session_id": 20210, "sequence_id": 83, "annotations": []}
{"role": "volunteer", "content": "its basically the values we have been using", "session_id": 20210, "sequence_id": 84, "annotations": []}
{"role": "volunteer", "content": "I think they wanted flipped range and domain from sin function", "session_id": 20210, "sequence_id": 85, "annotations": []}
{"role": "student", "content": "those are all range values that are used to define inverse", "session_id": 20210, "sequence_id": 86, "annotations": []}
{"role": "volunteer", "content": "right", "session_id": 20210, "sequence_id": 87, "annotations": []}
{"role": "volunteer", "content": "can you graph it", "session_id": 20210, "sequence_id": 88, "annotations": []}
{"role": "student", "content": "yes", "session_id": 20210, "sequence_id": 89, "annotations": []}
{"role": "volunteer", "content": "i think that graph you are doin is for middle graph", "session_id": 20210, "sequence_id": 90, "annotations": []}
{"role": "volunteer", "content": "good", "session_id": 20210, "sequence_id": 91, "annotations": []}
{"role": "student", "content": "are they asking same thing in arc sin and principal values?", "session_id": 20210, "sequence_id": 92, "annotations": []}
{"role": "volunteer", "content": "they are asking for the abbreviated range", "session_id": 20210, "sequence_id": 93, "annotations": []}
{"role": "volunteer", "content": "in the principal values", "session_id": 20210, "sequence_id": 94, "annotations": []}
{"role": "student", "content": "what does \"abbreviated\" mean?", "session_id": 20210, "sequence_id": 95, "annotations": []}
{"role": "volunteer", "content": "so remember we consider inverse as the flipped x and y", "session_id": 20210, "sequence_id": 96, "annotations": []}
{"role": "volunteer", "content": "so first range for arcsin is R", "session_id": 20210, "sequence_id": 97, "annotations": []}
{"role": "volunteer", "content": "first graph is \nx=siny", "session_id": 20210, "sequence_id": 98, "annotations": []}
{"role": "volunteer", "content": "second is y=arcsinx", "session_id": 20210, "sequence_id": 99, "annotations": []}
{"role": "volunteer", "content": "can you see the difference", "session_id": 20210, "sequence_id": 100, "annotations": []}
{"role": "student", "content": "it says y=sinx", "session_id": 20210, "sequence_id": 101, "annotations": []}
{"role": "student", "content": "if it sin y, it should be in y axis?", "session_id": 20210, "sequence_id": 102, "annotations": []}
{"role": "volunteer", "content": "with the full range (-inf, inf)", "session_id": 20210, "sequence_id": 103, "annotations": []}
{"role": "volunteer", "content": "the only way to get that full range", "session_id": 20210, "sequence_id": 104, "annotations": []}
{"role": "volunteer", "content": "arcsin has abbreviated range to satisfy one to one", "session_id": 20210, "sequence_id": 105, "annotations": []}
{"role": "student", "content": "does abbreviated range mean, having two ranges?", "session_id": 20210, "sequence_id": 106, "annotations": []}
{"role": "volunteer", "content": "'abbreviated' means shortened form", "session_id": 20210, "sequence_id": 107, "annotations": []}
{"role": "student", "content": "oh so, abbreviatetd range would be [-90,90]", "session_id": 20210, "sequence_id": 108, "annotations": []}
{"role": "volunteer", "content": "in degrees yes", "session_id": 20210, "sequence_id": 109, "annotations": []}
{"role": "volunteer", "content": "for principal values", "session_id": 20210, "sequence_id": 110, "annotations": []}
{"role": "student", "content": "yeah, only it would be one-one function.", "session_id": 20210, "sequence_id": 111, "annotations": []}
{"role": "student", "content": "and otherwise, domain and range will be flipped for arcsin", "session_id": 20210, "sequence_id": 112, "annotations": []}
{"role": "volunteer", "content": "right", "session_id": 20210, "sequence_id": 113, "annotations": []}
{"role": "student", "content": "is this correct now?", "session_id": 20210, "sequence_id": 114, "annotations": []}
{"role": "volunteer", "content": "yea, that makes more sense", "session_id": 20210, "sequence_id": 115, "annotations": []}
{"role": "student", "content": "did i do it right?", "session_id": 20210, "sequence_id": 116, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 20210, "sequence_id": 117, "annotations": []}
{"role": "volunteer", "content": "good job", "session_id": 20210, "sequence_id": 118, "annotations": []}
{"role": "volunteer", "content": "now we can discuss transformation", "session_id": 20210, "sequence_id": 119, "annotations": []}
{"role": "volunteer", "content": "nvm continue we can do transformations later", "session_id": 20210, "sequence_id": 120, "annotations": []}
{"role": "volunteer", "content": "go back", "session_id": 20210, "sequence_id": 121, "annotations": []}
{"role": "volunteer", "content": "nvm Chloe is right", "session_id": 20210, "sequence_id": 122, "annotations": [{"pii_type": "PERSON", "surrogate": "Chloe", "start": 4, "end": 9}]}
{"role": "volunteer", "content": "here are the transformations for inverse", "session_id": 20210, "sequence_id": 123, "annotations": []}
{"role": "student", "content": "do i scroll down for it?", "session_id": 20210, "sequence_id": 124, "annotations": []}
{"role": "volunteer", "content": "please", "session_id": 20210, "sequence_id": 125, "annotations": []}
{"role": "student", "content": "sure", "session_id": 20210, "sequence_id": 126, "annotations": []}
{"role": "student", "content": "what do i have to do now?", "session_id": 20210, "sequence_id": 127, "annotations": []}
{"role": "volunteer", "content": "try the graphs", "session_id": 20210, "sequence_id": 128, "annotations": []}
{"role": "volunteer", "content": "this is about transformations", "session_id": 20210, "sequence_id": 129, "annotations": []}
{"role": "volunteer", "content": "dilation, phase shifts and vertical shifts", "session_id": 20210, "sequence_id": 130, "annotations": []}
{"role": "volunteer", "content": "try a few values", "session_id": 20210, "sequence_id": 131, "annotations": []}
{"role": "volunteer", "content": "for x", "session_id": 20210, "sequence_id": 132, "annotations": []}
{"role": "volunteer", "content": "think about our standard trig functions", "session_id": 20210, "sequence_id": 133, "annotations": []}
{"role": "volunteer", "content": "what does a coefficient to sin do", "session_id": 20210, "sequence_id": 134, "annotations": []}
{"role": "student", "content": "it changes its range", "session_id": 20210, "sequence_id": 135, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 20210, "sequence_id": 136, "annotations": []}
{"role": "volunteer", "content": "do you know what type of transformation it is?", "session_id": 20210, "sequence_id": 137, "annotations": []}
{"role": "student", "content": "it strected along y-axis", "session_id": 20210, "sequence_id": 138, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 20210, "sequence_id": 139, "annotations": []}
{"role": "volunteer", "content": "its called dilation", "session_id": 20210, "sequence_id": 140, "annotations": []}
{"role": "student", "content": "ohh, interesting.", "session_id": 20210, "sequence_id": 141, "annotations": []}
{"role": "student", "content": "okay, got it!", "session_id": 20210, "sequence_id": 142, "annotations": []}
{"role": "volunteer", "content": "wait", "session_id": 20210, "sequence_id": 143, "annotations": []}
{"role": "student", "content": "dilated and vertical downward shift", "session_id": 20210, "sequence_id": 144, "annotations": []}
{"role": "volunteer", "content": "you said it affects range", "session_id": 20210, "sequence_id": 145, "annotations": []}
{"role": "volunteer", "content": "you changed the domain", "session_id": 20210, "sequence_id": 146, "annotations": []}
{"role": "volunteer", "content": "remember, domain is input", "session_id": 20210, "sequence_id": 147, "annotations": []}
{"role": "volunteer", "content": "range is output", "session_id": 20210, "sequence_id": 148, "annotations": []}
{"role": "student", "content": "yes, right.", "session_id": 20210, "sequence_id": 149, "annotations": []}
{"role": "volunteer", "content": "so it doesn't change the x-values", "session_id": 20210, "sequence_id": 150, "annotations": []}
{"role": "volunteer", "content": "but changes the y-values", "session_id": 20210, "sequence_id": 151, "annotations": []}
{"role": "volunteer", "content": "its a vertical dilation", "session_id": 20210, "sequence_id": 152, "annotations": []}
{"role": "student", "content": "yes", "session_id": 20210, "sequence_id": 153, "annotations": []}
{"role": "volunteer", "content": "check the board", "session_id": 20210, "sequence_id": 154, "annotations": []}
{"role": "student", "content": "yes i'm looking at it", "session_id": 20210, "sequence_id": 155, "annotations": []}
{"role": "volunteer", "content": "does that makes sense", "session_id": 20210, "sequence_id": 156, "annotations": []}
{"role": "student", "content": "can we say like, when a>0 it will expand and a<0 it will shrink?", "session_id": 20210, "sequence_id": 157, "annotations": []}
{"role": "volunteer", "content": "its like our 'a' from parabolas", "session_id": 20210, "sequence_id": 158, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 20210, "sequence_id": 159, "annotations": []}
{"role": "volunteer", "content": "but it doesn't stretch it horizontally", "session_id": 20210, "sequence_id": 160, "annotations": []}
{"role": "student", "content": "yes. i was thinking it like that.", "session_id": 20210, "sequence_id": 161, "annotations": []}
{"role": "student", "content": "yes, it will be vertical", "session_id": 20210, "sequence_id": 162, "annotations": []}
{"role": "volunteer", "content": "but you are expanding it horizontally", "session_id": 20210, "sequence_id": 163, "annotations": []}
{"role": "student", "content": "can you give me 10 min please?", "session_id": 20210, "sequence_id": 164, "annotations": []}
{"role": "volunteer", "content": "yea", "session_id": 20210, "sequence_id": 165, "annotations": []}
{"role": "student", "content": "i;ll brb", "session_id": 20210, "sequence_id": 166, "annotations": []}
{"role": "student", "content": "Hi! I'm back.", "session_id": 20210, "sequence_id": 167, "annotations": []}
{"role": "volunteer", "content": "welcome back", "session_id": 20210, "sequence_id": 168, "annotations": []}
{"role": "student", "content": "sorry for the dealy, I had run errand", "session_id": 20210, "sequence_id": 169, "annotations": []}
{"role": "volunteer", "content": "all good", "session_id": 20210, "sequence_id": 170, "annotations": []}
{"role": "volunteer", "content": "no problem", "session_id": 20210, "sequence_id": 171, "annotations": []}
{"role": "student", "content": "yes,", "session_id": 20210, "sequence_id": 172, "annotations": []}
{"role": "volunteer", "content": "lets take a moment to discuss transformations for inverse trig function", "session_id": 20210, "sequence_id": 173, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 20210, "sequence_id": 174, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 20210, "sequence_id": 175, "annotations": []}
{"role": "volunteer", "content": "so for standard trig functions", "session_id": 20210, "sequence_id": 176, "annotations": []}
{"role": "volunteer", "content": "A is what", "session_id": 20210, "sequence_id": 177, "annotations": []}
{"role": "student", "content": "dilation", "session_id": 20210, "sequence_id": 178, "annotations": []}
{"role": "volunteer", "content": "correct, its the amplitude which dilates it vertically", "session_id": 20210, "sequence_id": 179, "annotations": []}
{"role": "volunteer", "content": "same for a parabola and a line", "session_id": 20210, "sequence_id": 180, "annotations": []}
{"role": "student", "content": "it dilates vertically when it's sin graph and horizontally when its arc sin", "session_id": 20210, "sequence_id": 181, "annotations": []}
{"role": "student", "content": "is that right?", "session_id": 20210, "sequence_id": 182, "annotations": []}
{"role": "volunteer", "content": "not quite", "session_id": 20210, "sequence_id": 183, "annotations": []}
{"role": "volunteer", "content": "lets look at an example", "session_id": 20210, "sequence_id": 184, "annotations": []}
{"role": "volunteer", "content": "this is what you are talking about", "session_id": 20210, "sequence_id": 185, "annotations": []}
{"role": "volunteer", "content": "a dilation in sin causes a period change in arcsin", "session_id": 20210, "sequence_id": 186, "annotations": []}
{"role": "student", "content": "ohh i wasn't thinking like that", "session_id": 20210, "sequence_id": 187, "annotations": []}
{"role": "volunteer", "content": "right", "session_id": 20210, "sequence_id": 188, "annotations": []}
{"role": "volunteer", "content": "does that make sense", "session_id": 20210, "sequence_id": 189, "annotations": []}
{"role": "student", "content": "I didn't understand dilatin in arc sin comes from period of sin", "session_id": 20210, "sequence_id": 190, "annotations": []}
{"role": "volunteer", "content": "period is the horizontal dilation", "session_id": 20210, "sequence_id": 191, "annotations": []}
{"role": "volunteer", "content": "of sin", "session_id": 20210, "sequence_id": 192, "annotations": []}
{"role": "volunteer", "content": "determines how quickly it cycles", "session_id": 20210, "sequence_id": 193, "annotations": []}
{"role": "volunteer", "content": "if k is large", "session_id": 20210, "sequence_id": 194, "annotations": []}
{"role": "volunteer", "content": "sorry, let me take a step back", "session_id": 20210, "sequence_id": 195, "annotations": []}
{"role": "volunteer", "content": "what is confusing exactly? like what it looks like from a graph? what does it mean realistically?", "session_id": 20210, "sequence_id": 196, "annotations": []}
{"role": "student", "content": "i don't really what confusing me.", "session_id": 20210, "sequence_id": 197, "annotations": []}
{"role": "volunteer", "content": "haha", "session_id": 20210, "sequence_id": 198, "annotations": []}
{"role": "volunteer", "content": "thats fine", "session_id": 20210, "sequence_id": 199, "annotations": []}
{"role": "student", "content": "dilation in arc sin come from period/angle of of sin. is that right?", "session_id": 20210, "sequence_id": 200, "annotations": []}
{"role": "volunteer", "content": "the reason i expressed it this way was because i was showing what you were explaining", "session_id": 20210, "sequence_id": 201, "annotations": []}
{"role": "volunteer", "content": "^^yes", "session_id": 20210, "sequence_id": 202, "annotations": []}
{"role": "volunteer", "content": "is the period is small, sin wave gets smushed horizontally", "session_id": 20210, "sequence_id": 203, "annotations": []}
{"role": "student", "content": "What i meant to say is that", "session_id": 20210, "sequence_id": 204, "annotations": []}
{"role": "volunteer", "content": "thats cos but your amplitude is correct", "session_id": 20210, "sequence_id": 205, "annotations": []}
{"role": "volunteer", "content": "nvm you fixed it", "session_id": 20210, "sequence_id": 206, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 20210, "sequence_id": 207, "annotations": []}
{"role": "volunteer", "content": "keep going", "session_id": 20210, "sequence_id": 208, "annotations": []}
{"role": "volunteer", "content": "that is not true", "session_id": 20210, "sequence_id": 209, "annotations": []}
{"role": "student", "content": "but our domain would change now?", "session_id": 20210, "sequence_id": 210, "annotations": []}
{"role": "student", "content": "due to 2", "session_id": 20210, "sequence_id": 211, "annotations": []}
{"role": "volunteer", "content": "the range would change", "session_id": 20210, "sequence_id": 212, "annotations": []}
{"role": "volunteer", "content": "not the domain", "session_id": 20210, "sequence_id": 213, "annotations": []}
{"role": "volunteer", "content": "since its outside the arcsin", "session_id": 20210, "sequence_id": 214, "annotations": []}
{"role": "volunteer", "content": "if you want to change domain of arcsin, manipulate the inside", "session_id": 20210, "sequence_id": 215, "annotations": []}
{"role": "volunteer", "content": "think of 'h' vertex form of parabola", "session_id": 20210, "sequence_id": 216, "annotations": []}
{"role": "volunteer", "content": "y=f(x)", "session_id": 20210, "sequence_id": 217, "annotations": []}
{"role": "student", "content": "domain is [-1,1] , it will become [-2,2] right?", "session_id": 20210, "sequence_id": 218, "annotations": []}
{"role": "volunteer", "content": "not for 2arcsinx", "session_id": 20210, "sequence_id": 219, "annotations": []}
{"role": "volunteer", "content": "it still takes [-1,1]", "session_id": 20210, "sequence_id": 220, "annotations": []}
{"role": "volunteer", "content": "for domain", "session_id": 20210, "sequence_id": 221, "annotations": []}
{"role": "volunteer", "content": "range becomes [-pi,pi]", "session_id": 20210, "sequence_id": 222, "annotations": []}
{"role": "volunteer", "content": "because A directly affects output", "session_id": 20210, "sequence_id": 223, "annotations": []}
{"role": "volunteer", "content": "in order of operations, its after arcsin operation", "session_id": 20210, "sequence_id": 224, "annotations": []}
{"role": "student", "content": "y is our input, and x is output", "session_id": 20210, "sequence_id": 225, "annotations": []}
{"role": "volunteer", "content": "sure", "session_id": 20210, "sequence_id": 226, "annotations": []}
{"role": "student", "content": "is it like sure right?", "session_id": 20210, "sequence_id": 227, "annotations": []}
{"role": "volunteer", "content": "if it helps, can you cast desmos", "session_id": 20210, "sequence_id": 228, "annotations": []}
{"role": "student", "content": "yes", "session_id": 20210, "sequence_id": 229, "annotations": []}
{"role": "volunteer", "content": "lets get some answers", "session_id": 20210, "sequence_id": 230, "annotations": []}
{"role": "volunteer", "content": "do standard arcsin, then 2arcsin and (1/2)arcsin", "session_id": 20210, "sequence_id": 231, "annotations": []}
{"role": "volunteer", "content": "dont forget regular arcsin", "session_id": 20210, "sequence_id": 232, "annotations": []}
{"role": "volunteer", "content": "do you see how its just vertical dilation", "session_id": 20210, "sequence_id": 233, "annotations": []}
{"role": "volunteer", "content": "does stretch it horizontally at all", "session_id": 20210, "sequence_id": 234, "annotations": []}
{"role": "volunteer", "content": "doesnt***", "session_id": 20210, "sequence_id": 235, "annotations": []}
{"role": "student", "content": "yes, It's stretching along y-axis only", "session_id": 20210, "sequence_id": 236, "annotations": []}
{"role": "volunteer", "content": "this happens because the coefficient is outside of the arcsin operation", "session_id": 20210, "sequence_id": 237, "annotations": []}
{"role": "volunteer", "content": "its like ax^2", "session_id": 20210, "sequence_id": 238, "annotations": []}
{"role": "volunteer", "content": "'a' changes direction and dilates", "session_id": 20210, "sequence_id": 239, "annotations": []}
{"role": "student", "content": "yes, it's exactly like ax^2", "session_id": 20210, "sequence_id": 240, "annotations": []}
{"role": "volunteer", "content": "now try arcsin(2x) and arcsin(x/2)", "session_id": 20210, "sequence_id": 241, "annotations": []}
{"role": "volunteer", "content": "remember this arcsin is a reflection of sin", "session_id": 20210, "sequence_id": 242, "annotations": []}
{"role": "volunteer", "content": "over y=x", "session_id": 20210, "sequence_id": 243, "annotations": []}
{"role": "volunteer", "content": "it swaps x and y", "session_id": 20210, "sequence_id": 244, "annotations": []}
{"role": "student", "content": "yes, I remember that", "session_id": 20210, "sequence_id": 245, "annotations": []}
{"role": "volunteer", "content": "which means it swaps anything that affects x in sin, affects y in arcsin", "session_id": 20210, "sequence_id": 246, "annotations": []}
{"role": "volunteer", "content": "so an amplitude change in sin becomes period change in arcsin", "session_id": 20210, "sequence_id": 247, "annotations": []}
{"role": "volunteer", "content": "and period change in sin becomes amplitude in arcsin", "session_id": 20210, "sequence_id": 248, "annotations": []}
{"role": "volunteer", "content": "all this is to help us solve the graphing questions in the second worksheet i sent", "session_id": 20210, "sequence_id": 249, "annotations": []}
{"role": "volunteer", "content": "the one we were looking at earlier", "session_id": 20210, "sequence_id": 250, "annotations": []}
{"role": "volunteer", "content": "if you want to experiment and change arcsin to arccos or others feel free", "session_id": 20210, "sequence_id": 251, "annotations": []}
{"role": "student", "content": "yes, gimme a min", "session_id": 20210, "sequence_id": 252, "annotations": []}
{"role": "volunteer", "content": "of course", "session_id": 20210, "sequence_id": 253, "annotations": []}
{"role": "student", "content": "This is a very basic question. but i wanna ask", "session_id": 20210, "sequence_id": 254, "annotations": []}
{"role": "student", "content": "is this correct?", "session_id": 20210, "sequence_id": 255, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 20210, "sequence_id": 256, "annotations": []}
{"role": "volunteer", "content": "that is exactly right", "session_id": 20210, "sequence_id": 257, "annotations": []}
{"role": "student", "content": "is this right?", "session_id": 20210, "sequence_id": 258, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 20210, "sequence_id": 259, "annotations": []}
{"role": "volunteer", "content": "its the reciprocal", "session_id": 20210, "sequence_id": 260, "annotations": []}
{"role": "volunteer", "content": "of a and k", "session_id": 20210, "sequence_id": 261, "annotations": []}
{"role": "student", "content": "x and y switch values", "session_id": 20210, "sequence_id": 262, "annotations": []}
{"role": "student", "content": "why are they reciprocating?", "session_id": 20210, "sequence_id": 263, "annotations": []}
{"role": "volunteer", "content": "remember inverse is opposite order of operations from function", "session_id": 20210, "sequence_id": 264, "annotations": []}
{"role": "volunteer", "content": "multiplication becomes division in inverse", "session_id": 20210, "sequence_id": 265, "annotations": []}
{"role": "student", "content": "yes, that's right. i forgot about that.", "session_id": 20210, "sequence_id": 266, "annotations": []}
{"role": "student", "content": "understood!", "session_id": 20210, "sequence_id": 267, "annotations": []}
{"role": "volunteer", "content": "do you see the corrections i did ot your graph?", "session_id": 20210, "sequence_id": 268, "annotations": []}
{"role": "student", "content": "yes, i can see that", "session_id": 20210, "sequence_id": 269, "annotations": []}
{"role": "volunteer", "content": "they are both wrong. sorry, the graphs have to be stretched and shrunk", "session_id": 20210, "sequence_id": 270, "annotations": []}
{"role": "volunteer", "content": "respectively", "session_id": 20210, "sequence_id": 271, "annotations": []}
{"role": "volunteer", "content": "there, thats what it should look like", "session_id": 20210, "sequence_id": 272, "annotations": []}
{"role": "student", "content": "I;m having diferent values of for x for each of them\\", "session_id": 20210, "sequence_id": 273, "annotations": []}
{"role": "volunteer", "content": "look back at desmos", "session_id": 20210, "sequence_id": 274, "annotations": []}
{"role": "volunteer", "content": "the red graph stretched it to pi", "session_id": 20210, "sequence_id": 275, "annotations": []}
{"role": "student", "content": "yes, right", "session_id": 20210, "sequence_id": 276, "annotations": []}
{"role": "volunteer", "content": "the blue graph was flattened to pi/4", "session_id": 20210, "sequence_id": 277, "annotations": []}
{"role": "volunteer", "content": "but neither were stretched horizontally", "session_id": 20210, "sequence_id": 278, "annotations": []}
{"role": "volunteer", "content": "amplitude doesn't affect period", "session_id": 20210, "sequence_id": 279, "annotations": []}
{"role": "volunteer", "content": "sorry", "session_id": 20210, "sequence_id": 280, "annotations": []}
{"role": "volunteer", "content": "i mean amplitude doesnt change the bounds of x", "session_id": 20210, "sequence_id": 281, "annotations": []}
{"role": "volunteer", "content": "its still [-1,1]", "session_id": 20210, "sequence_id": 282, "annotations": []}
{"role": "volunteer", "content": "not [-2,2] or [-.5,.5]", "session_id": 20210, "sequence_id": 283, "annotations": []}
{"role": "student", "content": "it's only y, the domain", "session_id": 20210, "sequence_id": 284, "annotations": []}
{"role": "student", "content": "yes", "session_id": 20210, "sequence_id": 285, "annotations": []}
{"role": "volunteer", "content": "this x and y stuff is getting confusing", "session_id": 20210, "sequence_id": 286, "annotations": []}
{"role": "volunteer", "content": "lets use either input/output or domain/range", "session_id": 20210, "sequence_id": 287, "annotations": []}
{"role": "volunteer", "content": "compare desmos to your graphs", "session_id": 20210, "sequence_id": 288, "annotations": []}
{"role": "volunteer", "content": "do you see how your graphs have the same vertical dilation", "session_id": 20210, "sequence_id": 289, "annotations": []}
{"role": "volunteer", "content": "but different horizontal dilation", "session_id": 20210, "sequence_id": 290, "annotations": []}
{"role": "volunteer", "content": "you were doing arcsin(x/a) manipulation", "session_id": 20210, "sequence_id": 291, "annotations": []}
{"role": "student", "content": "yes, I have same domain but diferent ranges", "session_id": 20210, "sequence_id": 292, "annotations": []}
{"role": "volunteer", "content": "not (1/k)arcsinx", "session_id": 20210, "sequence_id": 293, "annotations": []}
{"role": "volunteer", "content": "wrong, you changed domain but kept range", "session_id": 20210, "sequence_id": 294, "annotations": []}
{"role": "volunteer", "content": "remember domain is always input (x-axis) and range is always output (y-axis)", "session_id": 20210, "sequence_id": 295, "annotations": []}
{"role": "student", "content": "for sin", "session_id": 20210, "sequence_id": 296, "annotations": []}
{"role": "volunteer", "content": "for everything", "session_id": 20210, "sequence_id": 297, "annotations": []}
{"role": "student", "content": "they will swap for arc sin", "session_id": 20210, "sequence_id": 298, "annotations": []}
{"role": "volunteer", "content": "right the values for each will change for inverse but how we define domain and range doesnt change", "session_id": 20210, "sequence_id": 299, "annotations": []}
{"role": "student", "content": "ohh, then you're right. i changed the domain but kep range", "session_id": 20210, "sequence_id": 300, "annotations": []}
{"role": "volunteer", "content": "but again, when in doubt plug and chug", "session_id": 20210, "sequence_id": 301, "annotations": []}
{"role": "volunteer", "content": "try a t-chart", "session_id": 20210, "sequence_id": 302, "annotations": []}
{"role": "volunteer", "content": "with each function and look at the values you get", "session_id": 20210, "sequence_id": 303, "annotations": []}
{"role": "volunteer", "content": "this will tell you the behavior or affect of each coefficient", "session_id": 20210, "sequence_id": 304, "annotations": []}
{"role": "volunteer", "content": "either that or graphing it", "session_id": 20210, "sequence_id": 305, "annotations": []}
{"role": "volunteer", "content": "arcsin is correct", "session_id": 20210, "sequence_id": 306, "annotations": []}
{"role": "volunteer", "content": "doublecheck, your domain is right, but your range needs to change", "session_id": 20210, "sequence_id": 307, "annotations": []}
{"role": "volunteer", "content": "you flipped your manipulations", "session_id": 20210, "sequence_id": 308, "annotations": []}
{"role": "volunteer", "content": "2 is bigger than 1/2", "session_id": 20210, "sequence_id": 309, "annotations": []}
{"role": "volunteer", "content": "so teal graph should be 'taller' than red graph", "session_id": 20210, "sequence_id": 310, "annotations": []}
{"role": "volunteer", "content": "yes that is better", "session_id": 20210, "sequence_id": 311, "annotations": []}
{"role": "student", "content": "how do i know how much it changes vertically?", "session_id": 20210, "sequence_id": 312, "annotations": []}
{"role": "volunteer", "content": "look at your output values", "session_id": 20210, "sequence_id": 313, "annotations": []}
{"role": "volunteer", "content": "did you see the table I did", "session_id": 20210, "sequence_id": 314, "annotations": []}
{"role": "volunteer", "content": "below the graphs", "session_id": 20210, "sequence_id": 315, "annotations": []}
{"role": "student", "content": "yes, you chose those values for x which make those respective function -1,0,1", "session_id": 20210, "sequence_id": 316, "annotations": []}
{"role": "volunteer", "content": "no, I chose x as -1,0,1", "session_id": 20210, "sequence_id": 317, "annotations": []}
{"role": "volunteer", "content": "those are the bounds and intercept of arcsin", "session_id": 20210, "sequence_id": 318, "annotations": []}
{"role": "student", "content": "yes, right. sorry", "session_id": 20210, "sequence_id": 319, "annotations": []}
{"role": "volunteer", "content": "alright. its late. I got to go to bed", "session_id": 20210, "sequence_id": 320, "annotations": []}
{"role": "student", "content": "yes, okay. can we continue from here tomorrow?", "session_id": 20210, "sequence_id": 321, "annotations": []}
{"role": "volunteer", "content": "i will have to do this earlier in the day tomorrow.", "session_id": 20210, "sequence_id": 322, "annotations": []}
{"role": "volunteer", "content": "maybe morning.", "session_id": 20210, "sequence_id": 323, "annotations": []}
{"role": "volunteer", "content": "say 11AM PDT or 8AM for you", "session_id": 20210, "sequence_id": 324, "annotations": []}
{"role": "student", "content": "okay, works for me", "session_id": 20210, "sequence_id": 325, "annotations": []}
{"role": "volunteer", "content": "awesome. have a great night", "session_id": 20210, "sequence_id": 326, "annotations": []}
{"role": "volunteer", "content": "message you tomorrow!", "session_id": 20210, "sequence_id": 327, "annotations": []}
{"role": "volunteer", "content": "*finger guns*", "session_id": 20210, "sequence_id": 328, "annotations": []}
{"role": "student", "content": "I check out those books. i noticed it had inverse trig topic.", "session_id": 20210, "sequence_id": 329, "annotations": []}
{"role": "student", "content": "would you like to do some of that tomorrow too?", "session_id": 20210, "sequence_id": 330, "annotations": []}
{"role": "volunteer", "content": "yes the Class 12 part 2", "session_id": 20210, "sequence_id": 331, "annotations": []}
{"role": "volunteer", "content": "we can work on that tomorrow", "session_id": 20210, "sequence_id": 332, "annotations": []}
{"role": "student", "content": "okay.", "session_id": 20210, "sequence_id": 333, "annotations": []}
{"role": "student", "content": "have a great night.", "session_id": 20210, "sequence_id": 334, "annotations": []}
{"role": "student", "content": "\ud83d\ude0e\ud83d\udd2b\ud83d\udca8", "session_id": 20210, "sequence_id": 335, "annotations": []}
{"role": "volunteer", "content": "sorry part 1", "session_id": 20210, "sequence_id": 336, "annotations": []}
{"role": "volunteer", "content": "Oh, you got emojis", "session_id": 20210, "sequence_id": 337, "annotations": []}
{"role": "student", "content": "yes lol", "session_id": 20210, "sequence_id": 338, "annotations": []}
{"role": "volunteer", "content": "Im on my desktop keyboard with no emojis", "session_id": 20210, "sequence_id": 339, "annotations": []}
{"role": "volunteer", "content": ":(", "session_id": 20210, "sequence_id": 340, "annotations": []}
{"role": "student", "content": "it has shortcut for it", "session_id": 20210, "sequence_id": 341, "annotations": []}
{"role": "volunteer", "content": "where?", "session_id": 20210, "sequence_id": 342, "annotations": []}
{"role": "student", "content": "on whindows, it's ctrl .", "session_id": 20210, "sequence_id": 343, "annotations": []}
{"role": "student", "content": "no, win .", "session_id": 20210, "sequence_id": 344, "annotations": []}
{"role": "volunteer", "content": "\ud83d\ude01", "session_id": 20210, "sequence_id": 345, "annotations": []}
{"role": "volunteer", "content": "got it", "session_id": 20210, "sequence_id": 346, "annotations": []}
{"role": "student", "content": "ohhh", "session_id": 20210, "sequence_id": 347, "annotations": []}
{"role": "student", "content": "\ud83c\udf89", "session_id": 20210, "sequence_id": 348, "annotations": []}
{"role": "student", "content": "\ud83d\udc4b", "session_id": 20210, "sequence_id": 349, "annotations": []}
{"role": "volunteer", "content": "alright, final goodbye", "session_id": 20210, "sequence_id": 350, "annotations": []}
{"role": "volunteer", "content": "ready", "session_id": 20210, "sequence_id": 351, "annotations": []}
{"role": "student", "content": "Hii! are you ready?", "session_id": 20210, "sequence_id": 352, "annotations": []}
{"role": "volunteer", "content": "Hi, how are you today. What would you like help with?", "session_id": 20248, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "Hi, I'm good and you?", "session_id": 20248, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "Doing good", "session_id": 20248, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "I just had a few questions I needed some help with in pre calc.", "session_id": 20248, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "sure lets do this", "session_id": 20248, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "Okay, this is part A of question 1. Solve the systems. 5y = 4x + 6 and 4x+5y=14", "session_id": 20248, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "Ok, I see. What do you think is the first step?", "session_id": 20248, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "I'm not sure", "session_id": 20248, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "that's perfectly fine. Could you tell me the methods on how to solve questions like these", "session_id": 20248, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "I'm also not sure about that. I've never done one like this.", "session_id": 20248, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "thats fine. lets brush up on this then", "session_id": 20248, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "questions like these are called system of equations", "session_id": 20248, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "Right", "session_id": 20248, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "and the two methods we use are called substitution and elimination", "session_id": 20248, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "elimination works by eliminating one of the letters to create a sungle variable equation", "session_id": 20248, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "*single", "session_id": 20248, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "Do we have to get the same answer for both of those equations?", "session_id": 20248, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "no you don't and that's the fun part", "session_id": 20248, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "you get rid of the variable by either subtracting or adding", "session_id": 20248, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "Got it", "session_id": 20248, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "lets say you have 2x + 5y = 10 and 2x-5y = -10", "session_id": 20248, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "can you see the whiteboard?", "session_id": 20248, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 20248, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "ok good", "session_id": 20248, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "now you can sort of make a substarction table", "session_id": 20248, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "*subtraction", "session_id": 20248, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "do you tink we should add the sides or subtract them?", "session_id": 20248, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "Subtract", "session_id": 20248, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "ok lets try it", "session_id": 20248, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "so 2x - 2x gives us 0", "session_id": 20248, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "now what would happen with the 5y?", "session_id": 20248, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "Also 0. So it's adding?", "session_id": 20248, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "very close but what is in front of the 5y in the bottom?", "session_id": 20248, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "A negative", "session_id": 20248, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "yep and then the negatives make a positive making the total?", "session_id": 20248, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "10", "session_id": 20248, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "10..?", "session_id": 20248, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "I mean 1", "session_id": 20248, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "you very close before take a step back and rethink it a little", "session_id": 20248, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "5y+5y?", "session_id": 20248, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 20248, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "great job", "session_id": 20248, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "so what would that side be?", "session_id": 20248, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "10y", "session_id": 20248, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "perfect", "session_id": 20248, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "now since we subtracted the left side we must also..?", "session_id": 20248, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "Subtract the right", "session_id": 20248, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "yes good job what woudl that be?", "session_id": 20248, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "*would", "session_id": 20248, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "Would it change to plus again?", "session_id": 20248, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "yes correct", "session_id": 20248, "sequence_id": 50, "annotations": []}
{"role": "student", "content": "20", "session_id": 20248, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "prefect", "session_id": 20248, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "now wht woudl y be?", "session_id": 20248, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "*what would", "session_id": 20248, "sequence_id": 54, "annotations": []}
{"role": "student", "content": "2?", "session_id": 20248, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "yes correct", "session_id": 20248, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "what do you think we should do now?", "session_id": 20248, "sequence_id": 57, "annotations": []}
{"role": "student", "content": "Figure out what x is?", "session_id": 20248, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "yes, how woudl you do that?", "session_id": 20248, "sequence_id": 59, "annotations": []}
{"role": "student", "content": "Sorry I am having some internet problems. Give me a minute", "session_id": 20248, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "all good, no worries", "session_id": 20248, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "Hi, are you still here?", "session_id": 20248, "sequence_id": 62, "annotations": []}
{"role": "student", "content": "Hi I'm back. I had to power off my computer", "session_id": 20248, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "all good. now back to the question since we know y = 2 what do you think x is?", "session_id": 20248, "sequence_id": 64, "annotations": []}
{"role": "student", "content": "8?", "session_id": 20248, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "close how did you get 8?", "session_id": 20248, "sequence_id": 66, "annotations": []}
{"role": "student", "content": "8 + 2 = 10", "session_id": 20248, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "close but to get x you have to substitute y back into one of the two equations", "session_id": 20248, "sequence_id": 68, "annotations": []}
{"role": "student", "content": "Ohh", "session_id": 20248, "sequence_id": 69, "annotations": []}
{"role": "student", "content": "2x+5(2)=10", "session_id": 20248, "sequence_id": 70, "annotations": []}
{"role": "student", "content": "Like that?", "session_id": 20248, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "yessss", "session_id": 20248, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "Great job", "session_id": 20248, "sequence_id": 73, "annotations": []}
{"role": "student", "content": "2x+10=10", "session_id": 20248, "sequence_id": 74, "annotations": []}
{"role": "student", "content": "So x = 0?", "session_id": 20248, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "yes correct", "session_id": 20248, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "now do you want to try to apply what we just learnt into your question?", "session_id": 20248, "sequence_id": 77, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 20248, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "ok lets do it", "session_id": 20248, "sequence_id": 79, "annotations": []}
{"role": "student", "content": "5y=4x+6 and 4x+5y=14", "session_id": 20248, "sequence_id": 80, "annotations": []}
{"role": "volunteer", "content": "how would you start this off?", "session_id": 20248, "sequence_id": 81, "annotations": []}
{"role": "student", "content": "By subtracting again?", "session_id": 20248, "sequence_id": 82, "annotations": []}
{"role": "volunteer", "content": "close but there is a step you have to do before you subtract", "session_id": 20248, "sequence_id": 83, "annotations": []}
{"role": "student", "content": "Get rid of the 6?", "session_id": 20248, "sequence_id": 84, "annotations": []}
{"role": "volunteer", "content": "close but the first step is to move things around in order to get things in a line", "session_id": 20248, "sequence_id": 85, "annotations": []}
{"role": "student", "content": "Ohh so 5y needs to be swapped with 6?", "session_id": 20248, "sequence_id": 86, "annotations": []}
{"role": "volunteer", "content": "you see how the y's and x's ad numbers in the equation i wrote are in one line?", "session_id": 20248, "sequence_id": 87, "annotations": []}
{"role": "volunteer", "content": "yes exactly", "session_id": 20248, "sequence_id": 88, "annotations": []}
{"role": "student", "content": "Or 4x can go to the side with 5y", "session_id": 20248, "sequence_id": 89, "annotations": []}
{"role": "volunteer", "content": "yes you can do that what would the equation be now?", "session_id": 20248, "sequence_id": 90, "annotations": []}
{"role": "student", "content": "5y + 4x = 6. But how would we get it to be like that?", "session_id": 20248, "sequence_id": 91, "annotations": []}
{"role": "volunteer", "content": "super close but you are missing one small thing you have to do when you take things to the other side", "session_id": 20248, "sequence_id": 92, "annotations": []}
{"role": "student", "content": "Subtract", "session_id": 20248, "sequence_id": 93, "annotations": []}
{"role": "volunteer", "content": "yes so what woudl the sign be?", "session_id": 20248, "sequence_id": 94, "annotations": []}
{"role": "student", "content": "-", "session_id": 20248, "sequence_id": 95, "annotations": []}
{"role": "volunteer", "content": "good job now what woudl you do now?", "session_id": 20248, "sequence_id": 96, "annotations": []}
{"role": "student", "content": "I don't know", "session_id": 20248, "sequence_id": 97, "annotations": []}
{"role": "volunteer", "content": "thats ok", "session_id": 20248, "sequence_id": 98, "annotations": []}
{"role": "volunteer", "content": "you see how the letters are still not lined up like teh old question?", "session_id": 20248, "sequence_id": 99, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 20248, "sequence_id": 100, "annotations": []}
{"role": "student", "content": "So we need to switch 5y and 4x", "session_id": 20248, "sequence_id": 101, "annotations": []}
{"role": "student", "content": "But how", "session_id": 20248, "sequence_id": 102, "annotations": []}
{"role": "volunteer", "content": "since you are just switching on th same side you can just chnage their position", "session_id": 20248, "sequence_id": 103, "annotations": []}
{"role": "volunteer", "content": "what should i write now?", "session_id": 20248, "sequence_id": 104, "annotations": []}
{"role": "student", "content": "5y + 4x", "session_id": 20248, "sequence_id": 105, "annotations": []}
{"role": "volunteer", "content": "yes correct", "session_id": 20248, "sequence_id": 106, "annotations": []}
{"role": "student", "content": "Then we add them?", "session_id": 20248, "sequence_id": 107, "annotations": []}
{"role": "volunteer", "content": "what do you think we should do?", "session_id": 20248, "sequence_id": 108, "annotations": []}
{"role": "student", "content": "If we subtracted, they'd just be 0. So should we add?", "session_id": 20248, "sequence_id": 109, "annotations": []}
{"role": "volunteer", "content": "thats exactly correct way to go!", "session_id": 20248, "sequence_id": 110, "annotations": []}
{"role": "volunteer", "content": "so when we add them what would happen?", "session_id": 20248, "sequence_id": 111, "annotations": []}
{"role": "student", "content": "10y + 8y", "session_id": 20248, "sequence_id": 112, "annotations": []}
{"role": "student", "content": "Or would the top 4x be negative?", "session_id": 20248, "sequence_id": 113, "annotations": []}
{"role": "volunteer", "content": "yourse getting closer", "session_id": 20248, "sequence_id": 114, "annotations": []}
{"role": "student", "content": "10y + 0?", "session_id": 20248, "sequence_id": 115, "annotations": []}
{"role": "volunteer", "content": "thats eaxctly right", "session_id": 20248, "sequence_id": 116, "annotations": []}
{"role": "volunteer", "content": "now whats the next step?", "session_id": 20248, "sequence_id": 117, "annotations": []}
{"role": "student", "content": "Add 14 and 6?", "session_id": 20248, "sequence_id": 118, "annotations": []}
{"role": "volunteer", "content": "yes!", "session_id": 20248, "sequence_id": 119, "annotations": []}
{"role": "volunteer", "content": "so now y =?", "session_id": 20248, "sequence_id": 120, "annotations": []}
{"role": "student", "content": "2", "session_id": 20248, "sequence_id": 121, "annotations": []}
{"role": "volunteer", "content": "yes now what is x?", "session_id": 20248, "sequence_id": 122, "annotations": []}
{"role": "student", "content": "0", "session_id": 20248, "sequence_id": 123, "annotations": []}
{"role": "volunteer", "content": "wait a minute take a step back", "session_id": 20248, "sequence_id": 124, "annotations": []}
{"role": "student", "content": "We have to go back and put 2 in for y", "session_id": 20248, "sequence_id": 125, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 20248, "sequence_id": 126, "annotations": []}
{"role": "volunteer", "content": "you can pick either of the two equations", "session_id": 20248, "sequence_id": 127, "annotations": []}
{"role": "student", "content": "It would equal 1?", "session_id": 20248, "sequence_id": 128, "annotations": []}
{"role": "volunteer", "content": "yes you did it!", "session_id": 20248, "sequence_id": 129, "annotations": []}
{"role": "student", "content": "That was actually not to hard.", "session_id": 20248, "sequence_id": 130, "annotations": []}
{"role": "volunteer", "content": "exactly all it takes is practice", "session_id": 20248, "sequence_id": 131, "annotations": []}
{"role": "volunteer", "content": "excellent work", "session_id": 20248, "sequence_id": 132, "annotations": []}
{"role": "volunteer", "content": "now our time is unfortunately up.", "session_id": 20248, "sequence_id": 133, "annotations": []}
{"role": "student", "content": "Oh okay. Thank you", "session_id": 20248, "sequence_id": 134, "annotations": []}
{"role": "volunteer", "content": "have fun and good job today!", "session_id": 20248, "sequence_id": 135, "annotations": []}
{"role": "student", "content": "hello", "session_id": 20509, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "hi", "session_id": 20509, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "what can I help you with?", "session_id": 20509, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "my name is Ethan and I'll be your tutor", "session_id": 20509, "sequence_id": 3, "annotations": [{"pii_type": "PERSON", "surrogate": "Ethan", "start": 11, "end": 16}]}
{"role": "student", "content": "I'm currently working on this packet that is for school which hasn't started yet so i'm working on it to get a head start and understand how to solve the equations before the school year! :)", "session_id": 20509, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "thats great!", "session_id": 20509, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "so how would i solve that?", "session_id": 20509, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "would i subtract the 1 and 7 by 2?", "session_id": 20509, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "*3", "session_id": 20509, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "I would start by subtracting 3 from all parts of the inequality because you want to get the variable (x in this case) alone", "session_id": 20509, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "which is 1 and 7 right by 3?", "session_id": 20509, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 20509, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "kk", "session_id": 20509, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "divide all by 2", "session_id": 20509, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "yes that's right!", "session_id": 20509, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "answer is -1<x<2", "session_id": 20509, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "correct!", "session_id": 20509, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "good job", "session_id": 20509, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "i'm gonna go rest and practice some more tmrw, thanks for ur help! have a great night/morning :)", "session_id": 20509, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "Hello! How may I help?", "session_id": 20336, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "Hello, can you connect me to coach Ms. Davis?", "session_id": 20336, "sequence_id": 1, "annotations": [{"pii_type": "PERSON", "surrogate": "Ms. Davis", "start": 35, "end": 44}]}
{"role": "volunteer", "content": "Hi I\u2019m sorry I\u2019m a newish tutor and I don\u2019t know if I can manually do that", "session_id": 20336, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "I am chatting with her", "session_id": 20336, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "That\u2019s great, is she saying anything about how I can transfer or connect you?", "session_id": 20336, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "She gave us few questions to answer.", "session_id": 20336, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "*I was chatting with her", "session_id": 20336, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "Okay Id be happy to help with the questions", "session_id": 20336, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "We already answered the questions. Can you please check to see if it correct?", "session_id": 20336, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "Yes! Just tell me the question and what you thought the answer was", "session_id": 20336, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "What did you think the answer was to number 1?", "session_id": 20336, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "Or I can help you setup an equation to start it.", "session_id": 20336, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "1. 11", "session_id": 20336, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "2. 60", "session_id": 20336, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "The first one is correct!", "session_id": 20336, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "3. 3/6 or 1/2", "session_id": 20336, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "4. 14", "session_id": 20336, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "One second! Checking number 2", "session_id": 20336, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "Do you mind checking number two or telling me your thoughts?", "session_id": 20336, "sequence_id": 18, "annotations": []}
{"role": "student", "content": ".60", "session_id": 20336, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "I got a different answer. Let\u2019s walk through it, so we know that the pencils are 3 for 1.80, and how many did we buy?", "session_id": 20336, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "Hold on", "session_id": 20336, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "Alright!", "session_id": 20336, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "3.60 and 6.4", "session_id": 20336, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "Yes correct! And added together that would be\u2026.", "session_id": 20336, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "10", "session_id": 20336, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "Correct! Number three is also correct well done. Let me check 4", "session_id": 20336, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "Yup four is correct!", "session_id": 20336, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "Well done.", "session_id": 20336, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "I am about to start 8th grade. Ju", "session_id": 20336, "sequence_id": 29, "annotations": [{"pii_type": "GRADE_LEVEL", "surrogate": "8th grade", "start": 20, "end": 29}]}
{"role": "volunteer", "content": "Good luck! I am currently going into Sophomore year of highschool :)", "session_id": 20336, "sequence_id": 30, "annotations": [{"pii_type": "GRADE_LEVEL", "surrogate": "Sophomore", "start": 37, "end": 46}]}
{"role": "student", "content": "Just want to be prepared.", "session_id": 20336, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "Yup I completely understand! You\u2019ve done super well on these questions, and I\u2019d be glad to help you with others if you need.", "session_id": 20336, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "Can you please give me few more questions?", "session_id": 20336, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "Yes I\u2019ll write four done.", "session_id": 20336, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "Feel Free to do this one while I write the others", "session_id": 20336, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "\ud83d\udc4d ok", "session_id": 20336, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "The result is 3", "session_id": 20336, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "For the first one", "session_id": 20336, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "So sorry I forgot to include it", "session_id": 20336, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "Ok, that is fine.", "session_id": 20336, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "Let me know once you\u2019re done with these questions!", "session_id": 20336, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "Oh, I don't see the questions. Did you send it here?", "session_id": 20336, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "They\u2019re on the white board! Maybe you need to scroll down?", "session_id": 20336, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "2. If 4x-34=y, what is y when x=9\n3. Jessica went to a store. She saw apples costed $4.00. She had a coupon for 75% off. If she bought one apple, and used the coupon, how much did she pay?", "session_id": 20336, "sequence_id": 44, "annotations": [{"pii_type": "PERSON", "surrogate": "Jessica", "start": 37, "end": 44}]}
{"role": "volunteer", "content": "4. David rolled a 12 sided die, what is the probability that he rolled an odd number?", "session_id": 20336, "sequence_id": 45, "annotations": [{"pii_type": "PERSON", "surrogate": "David", "start": 3, "end": 8}]}
{"role": "volunteer", "content": "I sent them in chat just in case you can\u2019t see it still.", "session_id": 20336, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "I saw them in the whiteboard. I just didn't check there.", "session_id": 20336, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "All good!", "session_id": 20336, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "I am a little confused about Question 1. Could you help me through it?", "session_id": 20336, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "Yes! So first we want to make an equation to help us. Think of th standard max+b=y", "session_id": 20336, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "What could our y be?", "session_id": 20336, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "MX+b=y**", "session_id": 20336, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "Y is also known as a result if that helps.", "session_id": 20336, "sequence_id": 53, "annotations": []}
{"role": "student", "content": "So x = 2 and b = 32 right?", "session_id": 20336, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "Yes!!", "session_id": 20336, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "No wait switch x and M", "session_id": 20336, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "M is the thing we multiply by so that would be 2", "session_id": 20336, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "since we multiplied", "session_id": 20336, "sequence_id": 58, "annotations": []}
{"role": "student", "content": "Oh so like 2x + 32 = y", "session_id": 20336, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "Yes perfect", "session_id": 20336, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "We still need y though to solve, what do you think that is?", "session_id": 20336, "sequence_id": 61, "annotations": []}
{"role": "student", "content": "Hmm, I don't really know. I think younnn", "session_id": 20336, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "Well I wrote that the result would be three, so maybe 3? Do you agree?", "session_id": 20336, "sequence_id": 63, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 20336, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "Ok perfect now we have the whole equation, 2x+32=3", "session_id": 20336, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "How do you think we should start to solve it?", "session_id": 20336, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "Also, think of x as the number the question was asking for.:)", "session_id": 20336, "sequence_id": 67, "annotations": []}
{"role": "student", "content": "Minus 32 from 3 I think", "session_id": 20336, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "Yes minus 32, what does that give us", "session_id": 20336, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "3-32 would give us a negative number.", "session_id": 20336, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "Since 32 is way larger than 3", "session_id": 20336, "sequence_id": 71, "annotations": []}
{"role": "student", "content": "2x = -29", "session_id": 20336, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "Yes perfect", "session_id": 20336, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "Now what do we do next? This next step requires the use of a calculator though, since we get a decimal", "session_id": 20336, "sequence_id": 74, "annotations": []}
{"role": "student", "content": "Oh ok", "session_id": 20336, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "Let me know once you get x!", "session_id": 20336, "sequence_id": 76, "annotations": []}
{"role": "student", "content": "I think x is -14.5", "session_id": 20336, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "Correct!!!! Well done.", "session_id": 20336, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "Need help starting question two?", "session_id": 20336, "sequence_id": 79, "annotations": []}
{"role": "student", "content": "I got the answer. I say 2", "session_id": 20336, "sequence_id": 80, "annotations": []}
{"role": "volunteer", "content": "Yes correct.", "session_id": 20336, "sequence_id": 81, "annotations": []}
{"role": "volunteer", "content": "Well done once again:)", "session_id": 20336, "sequence_id": 82, "annotations": []}
{"role": "volunteer", "content": "Need any help with question 3?", "session_id": 20336, "sequence_id": 83, "annotations": []}
{"role": "student", "content": "I think I got #3 as well.", "session_id": 20336, "sequence_id": 84, "annotations": []}
{"role": "volunteer", "content": "Okay what do you think", "session_id": 20336, "sequence_id": 85, "annotations": []}
{"role": "student", "content": "3.9", "session_id": 20336, "sequence_id": 86, "annotations": []}
{"role": "volunteer", "content": "Not exactly. Mind walking me through your steps?", "session_id": 20336, "sequence_id": 87, "annotations": []}
{"role": "student", "content": "Sure, First I turned 75% percent into a decimal which is 0.075", "session_id": 20336, "sequence_id": 88, "annotations": []}
{"role": "volunteer", "content": "Ah I see, well to convert a percent to a decimal we divide 100", "session_id": 20336, "sequence_id": 89, "annotations": []}
{"role": "volunteer", "content": "So 75/100 is...", "session_id": 20336, "sequence_id": 90, "annotations": []}
{"role": "student", "content": "Oh wait it's .75", "session_id": 20336, "sequence_id": 91, "annotations": []}
{"role": "volunteer", "content": "Yes perfect", "session_id": 20336, "sequence_id": 92, "annotations": []}
{"role": "volunteer", "content": "What do we do next?", "session_id": 20336, "sequence_id": 93, "annotations": []}
{"role": "student", "content": "I subtracted it from 4", "session_id": 20336, "sequence_id": 94, "annotations": []}
{"role": "volunteer", "content": "Nope! We need to multiply to find how much the percentage takes out of 4.", "session_id": 20336, "sequence_id": 95, "annotations": []}
{"role": "volunteer", "content": "Good try though, knowing this instantly will just come with time, its a rule. For example if we want 50% of 2, we do .5 times 2", "session_id": 20336, "sequence_id": 96, "annotations": []}
{"role": "student", "content": "Oh yeah, so then it would be 3", "session_id": 20336, "sequence_id": 97, "annotations": []}
{"role": "volunteer", "content": "Yes perfect, what next?", "session_id": 20336, "sequence_id": 98, "annotations": []}
{"role": "student", "content": "Then we subtract", "session_id": 20336, "sequence_id": 99, "annotations": []}
{"role": "volunteer", "content": "Yes exactly, and what would the final answer be?", "session_id": 20336, "sequence_id": 100, "annotations": []}
{"role": "student", "content": "1", "session_id": 20336, "sequence_id": 101, "annotations": []}
{"role": "volunteer", "content": "Perfect, she pays one dollar!", "session_id": 20336, "sequence_id": 102, "annotations": []}
{"role": "volunteer", "content": "Good job, hope you learned something about finding percentages through this question:)", "session_id": 20336, "sequence_id": 103, "annotations": []}
{"role": "student", "content": "Yes indeed.", "session_id": 20336, "sequence_id": 104, "annotations": []}
{"role": "volunteer", "content": "Need any help for number 4?", "session_id": 20336, "sequence_id": 105, "annotations": []}
{"role": "student", "content": "Nope, I think the answer is 6", "session_id": 20336, "sequence_id": 106, "annotations": []}
{"role": "volunteer", "content": "So close, its probability so the answer is usually a fraction, in this case it is a fraction", "session_id": 20336, "sequence_id": 107, "annotations": []}
{"role": "student", "content": "Oh yeah so it's 1/2", "session_id": 20336, "sequence_id": 108, "annotations": []}
{"role": "volunteer", "content": "Perfect!! Need me to write any new question?", "session_id": 20336, "sequence_id": 109, "annotations": []}
{"role": "student", "content": "That will be enough for me. However, if I need more help in Math can I still contact you again tomorrow?", "session_id": 20336, "sequence_id": 110, "annotations": []}
{"role": "volunteer", "content": "I am not sure if you can directly get me, but if you go in chat history you might be able to reopen this chat, and I will be available from 12pm-4pm", "session_id": 20336, "sequence_id": 111, "annotations": []}
{"role": "student", "content": "How do I do that?", "session_id": 20336, "sequence_id": 112, "annotations": []}
{"role": "student", "content": "How to go to chat history?", "session_id": 20336, "sequence_id": 113, "annotations": []}
{"role": "volunteer", "content": "Not too sure Im sorry, but do you see any tab that says session history?", "session_id": 20336, "sequence_id": 114, "annotations": []}
{"role": "student", "content": "It does say that there is an ongoing session and it allows me to return to this chat", "session_id": 20336, "sequence_id": 115, "annotations": []}
{"role": "volunteer", "content": "Let me ask my superior if theres a way to reconnect with coaches or people you tutor.", "session_id": 20336, "sequence_id": 116, "annotations": []}
{"role": "student", "content": "But, I only think that's open because this is currently ongoing. When this chat is closed it might not show that.", "session_id": 20336, "sequence_id": 117, "annotations": []}
{"role": "student", "content": "Ok, sure.", "session_id": 20336, "sequence_id": 118, "annotations": []}
{"role": "volunteer", "content": "Okay so there is no way to get specific coaching but if you get online from 12pm-4pm I will be there, and also it says that you are able to \"favorite me\" as a coach. It says that after the session there should be a heart under my name in \"session history\" Or you are able to mark me in the feedback form as favorite. If you do this I get a priority alert when you request help next time.", "session_id": 20336, "sequence_id": 119, "annotations": []}
{"role": "student", "content": "Can you please give me homework questions so I will have it ready for tomorrow", "session_id": 20336, "sequence_id": 120, "annotations": []}
{"role": "volunteer", "content": "Yes how many would you like?", "session_id": 20336, "sequence_id": 121, "annotations": []}
{"role": "student", "content": "5", "session_id": 20336, "sequence_id": 122, "annotations": []}
{"role": "volunteer", "content": "Okay give me some time to think of them and write them down, do you want me to make any of them specifically about something?", "session_id": 20336, "sequence_id": 123, "annotations": []}
{"role": "volunteer", "content": "Like percentages, probability, or the first question we worked on that asked to find the nuber", "session_id": 20336, "sequence_id": 124, "annotations": []}
{"role": "volunteer", "content": "numbr**", "session_id": 20336, "sequence_id": 125, "annotations": []}
{"role": "volunteer", "content": "number** oh my goodness", "session_id": 20336, "sequence_id": 126, "annotations": []}
{"role": "student", "content": "Lol, also yes I would like percentages and probabilities on some of them.", "session_id": 20336, "sequence_id": 127, "annotations": []}
{"role": "volunteer", "content": "Sure! I'll write them now.", "session_id": 20336, "sequence_id": 128, "annotations": []}
{"role": "student", "content": "Ok.", "session_id": 20336, "sequence_id": 129, "annotations": []}
{"role": "volunteer", "content": "1. A number is divided by 5, then 87 is added to it. The result is 45. What is the number?                                2. A grocery store sells tomatoes for $5.00 each. A shopper bought 4 tomatoes. At check-out, the shopper used a 65% off coupon she had. What did the shopper pay for the tomatoes she bought, after using the coupon?                                 3. If y=4x-13, what is y when x=2?             4. Sarah rolled a 6 sided standard die, what is the probability she rolled a 3 or a 4?          5. A number is multiplied by 9, then 3 is subtracted. The result is 17. What is the number?            6. BONUS HARD QUESTION: A shopper is buying pencils and markers for back to school. Pencils are sold at 4 for $2.30 and markers are sold at 2 for $2.10. The shopper buys 8 pencils and 10 markers. After picking all these items up, the shopper uses a 50% off coupon at checkout. What is the final price of the pencils and markers in total?", "session_id": 20336, "sequence_id": 130, "annotations": [{"pii_type": "PERSON", "surrogate": "Sarah", "start": 418, "end": 423}]}
{"role": "volunteer", "content": "I will seperate them im sorry", "session_id": 20336, "sequence_id": 131, "annotations": []}
{"role": "volunteer", "content": "One moment", "session_id": 20336, "sequence_id": 132, "annotations": []}
{"role": "student", "content": "It's okay.", "session_id": 20336, "sequence_id": 133, "annotations": []}
{"role": "volunteer", "content": "Alright! It's just on my screen it looked like they were below eachother my bad.", "session_id": 20336, "sequence_id": 134, "annotations": []}
{"role": "student", "content": "That's fine", "session_id": 20336, "sequence_id": 135, "annotations": []}
{"role": "volunteer", "content": "Good luck on them! Do you need anything else?", "session_id": 20336, "sequence_id": 136, "annotations": []}
{"role": "volunteer", "content": "I am available for another 19 minutes today if so.", "session_id": 20336, "sequence_id": 137, "annotations": []}
{"role": "student", "content": "Maybe i'll solve my homework questions now since we have some time remaining.", "session_id": 20336, "sequence_id": 138, "annotations": []}
{"role": "volunteer", "content": "Okay, let's try to get as many done as possible, anything left I will check tommorow if we manage to get into the same session.", "session_id": 20336, "sequence_id": 139, "annotations": []}
{"role": "student", "content": "Ok, sure.", "session_id": 20336, "sequence_id": 140, "annotations": []}
{"role": "volunteer", "content": "Yup! Let me know once you think you finish the first one.", "session_id": 20336, "sequence_id": 141, "annotations": []}
{"role": "student", "content": "Ok", "session_id": 20336, "sequence_id": 142, "annotations": []}
{"role": "student", "content": "I think the answer is -210", "session_id": 20336, "sequence_id": 143, "annotations": []}
{"role": "volunteer", "content": "Nope not quite there, mind showing your steps?", "session_id": 20336, "sequence_id": 144, "annotations": []}
{"role": "volunteer", "content": "Oh my gosh I am so sorry you're right!", "session_id": 20336, "sequence_id": 145, "annotations": []}
{"role": "student", "content": "Oh, ok", "session_id": 20336, "sequence_id": 146, "annotations": []}
{"role": "volunteer", "content": "I accidentally got -220 thats on me trying to quickly do it in my head", "session_id": 20336, "sequence_id": 147, "annotations": []}
{"role": "volunteer", "content": "Super sorry", "session_id": 20336, "sequence_id": 148, "annotations": []}
{"role": "student", "content": "Oh, that's ok.", "session_id": 20336, "sequence_id": 149, "annotations": []}
{"role": "volunteer", "content": "Yup but good job on this question, really improved from the other one we did that was similar:)", "session_id": 20336, "sequence_id": 150, "annotations": []}
{"role": "student", "content": "Yes, it felt much easier now.", "session_id": 20336, "sequence_id": 151, "annotations": []}
{"role": "volunteer", "content": "I am glad.", "session_id": 20336, "sequence_id": 152, "annotations": []}
{"role": "student", "content": "For #2 my answer is 7", "session_id": 20336, "sequence_id": 153, "annotations": []}
{"role": "volunteer", "content": "Yes correct!", "session_id": 20336, "sequence_id": 154, "annotations": []}
{"role": "student", "content": "For number 3 I got -5", "session_id": 20336, "sequence_id": 155, "annotations": []}
{"role": "volunteer", "content": "Yes!", "session_id": 20336, "sequence_id": 156, "annotations": []}
{"role": "volunteer", "content": "Well done.", "session_id": 20336, "sequence_id": 157, "annotations": []}
{"role": "student", "content": "Ok, #4 my answer is 2/6 or 1/3", "session_id": 20336, "sequence_id": 158, "annotations": []}
{"role": "volunteer", "content": "Yes well done! Usually on a test they ask to give the simplest form so 1/3 :)", "session_id": 20336, "sequence_id": 159, "annotations": []}
{"role": "student", "content": "Ok ill remember that.", "session_id": 20336, "sequence_id": 160, "annotations": []}
{"role": "volunteer", "content": "You can leave number 5 as a fraction if you want", "session_id": 20336, "sequence_id": 161, "annotations": []}
{"role": "student", "content": "Ok", "session_id": 20336, "sequence_id": 162, "annotations": []}
{"role": "volunteer", "content": "Yup", "session_id": 20336, "sequence_id": 163, "annotations": []}
{"role": "student", "content": "I need a little help on #5", "session_id": 20336, "sequence_id": 164, "annotations": []}
{"role": "volunteer", "content": "Okay well let's setup the equation.", "session_id": 20336, "sequence_id": 165, "annotations": []}
{"role": "volunteer", "content": "A number is multiplied by 9, then 3 is subtracted. The result is 17. What is the number?", "session_id": 20336, "sequence_id": 166, "annotations": []}
{"role": "volunteer", "content": "What do you think \"m\" is", "session_id": 20336, "sequence_id": 167, "annotations": []}
{"role": "volunteer", "content": "the thing we multiplied by", "session_id": 20336, "sequence_id": 168, "annotations": []}
{"role": "student", "content": "9x - 3 = 17", "session_id": 20336, "sequence_id": 169, "annotations": []}
{"role": "student", "content": "9", "session_id": 20336, "sequence_id": 170, "annotations": []}
{"role": "volunteer", "content": "Yes perfect", "session_id": 20336, "sequence_id": 171, "annotations": []}
{"role": "volunteer", "content": "Good equation", "session_id": 20336, "sequence_id": 172, "annotations": []}
{"role": "volunteer", "content": "What would the first step be?", "session_id": 20336, "sequence_id": 173, "annotations": []}
{"role": "student", "content": "To add 3 to -3", "session_id": 20336, "sequence_id": 174, "annotations": []}
{"role": "volunteer", "content": "Yes and add 3 to 17", "session_id": 20336, "sequence_id": 175, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 20336, "sequence_id": 176, "annotations": []}
{"role": "volunteer", "content": "So whats our new equation after", "session_id": 20336, "sequence_id": 177, "annotations": []}
{"role": "student", "content": "9x = 20", "session_id": 20336, "sequence_id": 178, "annotations": []}
{"role": "volunteer", "content": "Yes perfect, next step?", "session_id": 20336, "sequence_id": 179, "annotations": []}
{"role": "student", "content": "Division I'm pretty sure", "session_id": 20336, "sequence_id": 180, "annotations": []}
{"role": "volunteer", "content": "Yes exactly, and this is where I said we can leave it as a fraction since without a calculator it is pretty hard to go 20 divided by 9", "session_id": 20336, "sequence_id": 181, "annotations": []}
{"role": "student", "content": "Oh so it would be a repeating decimal", "session_id": 20336, "sequence_id": 182, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 20336, "sequence_id": 183, "annotations": []}
{"role": "volunteer", "content": "Yeah perfect, but we can also just let it be 20/9", "session_id": 20336, "sequence_id": 184, "annotations": []}
{"role": "volunteer", "content": "Well done!", "session_id": 20336, "sequence_id": 185, "annotations": []}
{"role": "volunteer", "content": "I can stay for the bonus question don't worry, until you're done:)", "session_id": 20336, "sequence_id": 186, "annotations": []}
{"role": "student", "content": "Ok", "session_id": 20336, "sequence_id": 187, "annotations": []}
{"role": "volunteer", "content": "6. BONUS HARD QUESTION: A shopper is buying pencils and markers for back to school. Pencils are sold at 4 for $2.30 and markers are sold at 2 for $2.10. The shopper buys 8 pencils and 10 markers. After picking all these items up, the shopper uses a 50% off coupon at checkout. What is the final price of the pencils and markers in total?", "session_id": 20336, "sequence_id": 188, "annotations": []}
{"role": "volunteer", "content": "It combines two topics so that's why its a little on the harder side.", "session_id": 20336, "sequence_id": 189, "annotations": []}
{"role": "student", "content": "Yeah I see that", "session_id": 20336, "sequence_id": 190, "annotations": []}
{"role": "volunteer", "content": "Need any help?", "session_id": 20336, "sequence_id": 191, "annotations": []}
{"role": "student", "content": "By 4 and 2 it means time or how much he's getting", "session_id": 20336, "sequence_id": 192, "annotations": []}
{"role": "volunteer", "content": "So it would mean he would get 4 pencils for the price of 2.30 dollars", "session_id": 20336, "sequence_id": 193, "annotations": []}
{"role": "student", "content": "Oh ok I understand", "session_id": 20336, "sequence_id": 194, "annotations": []}
{"role": "volunteer", "content": "It's kinda a bundle deal", "session_id": 20336, "sequence_id": 195, "annotations": []}
{"role": "student", "content": "I think the answer is 7.6..", "session_id": 20336, "sequence_id": 196, "annotations": []}
{"role": "volunteer", "content": "Try to round to two decimal places", "session_id": 20336, "sequence_id": 197, "annotations": []}
{"role": "volunteer", "content": "since when calculating money that's the standard for cents", "session_id": 20336, "sequence_id": 198, "annotations": []}
{"role": "student", "content": "Oh so 7.60", "session_id": 20336, "sequence_id": 199, "annotations": []}
{"role": "student", "content": "Or 8", "session_id": 20336, "sequence_id": 200, "annotations": []}
{"role": "volunteer", "content": "My answers a little different. It is close to 7.60 though", "session_id": 20336, "sequence_id": 201, "annotations": []}
{"role": "volunteer", "content": "Walk me through your work", "session_id": 20336, "sequence_id": 202, "annotations": []}
{"role": "student", "content": "I calculated the total price for pencils = 4.60 and Markers = 10.60. They both bring a total of 15.20", "session_id": 20336, "sequence_id": 203, "annotations": []}
{"role": "student", "content": "Then I divided it by 2", "session_id": 20336, "sequence_id": 204, "annotations": []}
{"role": "volunteer", "content": "Your marker price is a little off.", "session_id": 20336, "sequence_id": 205, "annotations": []}
{"role": "volunteer", "content": "Mind doing the calculation again?", "session_id": 20336, "sequence_id": 206, "annotations": []}
{"role": "student", "content": "Ok one second", "session_id": 20336, "sequence_id": 207, "annotations": []}
{"role": "volunteer", "content": "Yup!", "session_id": 20336, "sequence_id": 208, "annotations": []}
{"role": "student", "content": "Ah, it's actually 10.50", "session_id": 20336, "sequence_id": 209, "annotations": []}
{"role": "volunteer", "content": "Yes exactly", "session_id": 20336, "sequence_id": 210, "annotations": []}
{"role": "student", "content": "I got 7.55", "session_id": 20336, "sequence_id": 211, "annotations": []}
{"role": "volunteer", "content": "And also for your second step, dividing by two, that is correct and will get you the correct answer but we want to stay persistant. Divide the percent 100 and then multiply the 15.10 by the decimal", "session_id": 20336, "sequence_id": 212, "annotations": []}
{"role": "volunteer", "content": "Yes your answer is correct", "session_id": 20336, "sequence_id": 213, "annotations": []}
{"role": "student", "content": "Ah ok", "session_id": 20336, "sequence_id": 214, "annotations": []}
{"role": "volunteer", "content": "Just imagine if the question said 75% off", "session_id": 20336, "sequence_id": 215, "annotations": []}
{"role": "student", "content": "Yeah then I would have to do it the other way makes sense.", "session_id": 20336, "sequence_id": 216, "annotations": []}
{"role": "volunteer", "content": "We cant just divide by a whole number you know? Just preparing you for harder percentage amounts.", "session_id": 20336, "sequence_id": 217, "annotations": []}
{"role": "volunteer", "content": "yes exactly.", "session_id": 20336, "sequence_id": 218, "annotations": []}
{"role": "volunteer", "content": "Go ahead and try 75% off", "session_id": 20336, "sequence_id": 219, "annotations": []}
{"role": "student", "content": "Ok let me try it", "session_id": 20336, "sequence_id": 220, "annotations": []}
{"role": "student", "content": "I got 11.3250", "session_id": 20336, "sequence_id": 221, "annotations": []}
{"role": "volunteer", "content": "Almost. Hear me out, when multipling by .75 we find how much 75% is of 15.10", "session_id": 20336, "sequence_id": 222, "annotations": []}
{"role": "volunteer", "content": "And you are correct in getting 11.3250", "session_id": 20336, "sequence_id": 223, "annotations": []}
{"role": "volunteer", "content": "But if it is 75% OFF, we subtract what we got for the initial multiplication from 15.10", "session_id": 20336, "sequence_id": 224, "annotations": []}
{"role": "volunteer", "content": "Remember back to when we did the other problem and you subtracted 3 from 4?", "session_id": 20336, "sequence_id": 225, "annotations": []}
{"role": "student", "content": "Ohh, yes I remeber", "session_id": 20336, "sequence_id": 226, "annotations": []}
{"role": "volunteer", "content": "Yes perfect. But yes when we do even the .5 for 50% we get 7.55, 7.55 is 50% of 15.10 and now we find the 50% we actually pay for by doing 15.10-7.55=7.55", "session_id": 20336, "sequence_id": 227, "annotations": []}
{"role": "student", "content": "It's 3.7750", "session_id": 20336, "sequence_id": 228, "annotations": []}
{"role": "volunteer", "content": "Yes perfect, and when calculating money we round to two decimals", "session_id": 20336, "sequence_id": 229, "annotations": []}
{"role": "student", "content": "So 3.8", "session_id": 20336, "sequence_id": 230, "annotations": []}
{"role": "volunteer", "content": "Sorry I meant two decimals as in two places after the dot.", "session_id": 20336, "sequence_id": 231, "annotations": []}
{"role": "student", "content": "Oh so 3.78", "session_id": 20336, "sequence_id": 232, "annotations": []}
{"role": "volunteer", "content": "Yes perfect!", "session_id": 20336, "sequence_id": 233, "annotations": []}
{"role": "volunteer", "content": "Well done:)", "session_id": 20336, "sequence_id": 234, "annotations": []}
{"role": "student", "content": "Thank you so much for all your help. I'll work with you tomorrow if possible.", "session_id": 20336, "sequence_id": 235, "annotations": []}
{"role": "volunteer", "content": "No problem at all, glad you got a better understanding of some concepts. See you tomorrow if possible (remember the favoriting thing). Have a amazing day!", "session_id": 20336, "sequence_id": 236, "annotations": []}
{"role": "student", "content": "Sure, you too!", "session_id": 20336, "sequence_id": 237, "annotations": []}
{"role": "volunteer", "content": "Yes and good luck in 9th grade this year :) Bye bye.", "session_id": 20336, "sequence_id": 238, "annotations": [{"pii_type": "GRADE_LEVEL", "surrogate": "9th grade", "start": 21, "end": 30}]}
{"role": "student", "content": "Thank you, Bye \ud83d\udc4b", "session_id": 20336, "sequence_id": 239, "annotations": []}
{"role": "volunteer", "content": "Hi Alex I will be able to tutor you at 12pm up until 4pm, just let me know around what time you will be online and sending a request. If another coach grabs it, you can tell them you were waiting for me to accept if you want to do that.", "session_id": 20336, "sequence_id": 240, "annotations": [{"pii_type": "PERSON", "surrogate": "Alex", "start": 3, "end": 7}]}
{"role": "student", "content": "I will join at 3:00 pm today", "session_id": 20336, "sequence_id": 241, "annotations": []}
{"role": "volunteer", "content": "Okay!", "session_id": 20336, "sequence_id": 242, "annotations": []}
{"role": "volunteer", "content": "Ah I wasnt able to click your session quick enough, so sorry. You can probably just tell them you were waiting for me if you want.", "session_id": 20336, "sequence_id": 243, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 20336, "sequence_id": 244, "annotations": []}
{"role": "student", "content": "Should I try again?", "session_id": 20336, "sequence_id": 245, "annotations": []}
{"role": "volunteer", "content": "Hi", "session_id": 20370, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "Hiiii", "session_id": 20370, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "What can I help you with today?", "session_id": 20370, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "I am preparing for AP pre-calc", "session_id": 20370, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "simplify it?", "session_id": 20370, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "and i need help with this", "session_id": 20370, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "yes", "session_id": 20370, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 20370, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "Simplifying with exponents", "session_id": 20370, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "Did you multiply the -5 and 3/2?", "session_id": 20370, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 20370, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "okk", "session_id": 20370, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "the key step is to figure out (4-9x)^(-1/2)", "session_id": 20370, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "Ben i got lost at the part", "session_id": 20370, "sequence_id": 13, "annotations": [{"pii_type": "PERSON", "surrogate": "Ben", "start": 0, "end": 3}]}
{"role": "student", "content": "why does it become rooted?", "session_id": 20370, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "good question. let me go through the details", "session_id": 20370, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "okk", "session_id": 20370, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "does this make sense? basically a^(-b) = 1/a^b", "session_id": 20370, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "sorta", "session_id": 20370, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "let me explain why this is true if you have time", "session_id": 20370, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "we have to go back to basics", "session_id": 20370, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "yes i have time", "session_id": 20370, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "Okay", "session_id": 20370, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "great", "session_id": 20370, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "first, let's explain a^k", "session_id": 20370, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "this is how exponents are defined", "session_id": 20370, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "Right", "session_id": 20370, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "it has it's own formula ?", "session_id": 20370, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 20370, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "Ohh okkk", "session_id": 20370, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "is that and imaginary number?", "session_id": 20370, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "not imaginary. sorry, just a notation", "session_id": 20370, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "Got it", "session_id": 20370, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "we are almost there", "session_id": 20370, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "my next question is what is a^0?", "session_id": 20370, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "1", "session_id": 20370, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "yes!", "session_id": 20370, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "I will show why that's true", "session_id": 20370, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "0=k-k", "session_id": 20370, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "we use the formula", "session_id": 20370, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "we are almost here", "session_id": 20370, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "does this make sense?", "session_id": 20370, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "-1/2 = 0-1/2", "session_id": 20370, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "yes", "session_id": 20370, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "great", "session_id": 20370, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "that's how I got 1/sqrt(4x-9)", "session_id": 20370, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "OHH okay that makes a little more sense", "session_id": 20370, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "next, we have make the denominator \"rational\"", "session_id": 20370, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "so we multiply the denominator and numerator by sqrt(4x-9)", "session_id": 20370, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "sine it asks for exponents", "session_id": 20370, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "we need to convert 3*9 --> 3*3^2 = 3^3", "session_id": 20370, "sequence_id": 50, "annotations": []}
{"role": "student", "content": "ookk", "session_id": 20370, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "any other problem?", "session_id": 20370, "sequence_id": 52, "annotations": []}
{"role": "student", "content": "yes one similar", "session_id": 20370, "sequence_id": 53, "annotations": []}
{"role": "student", "content": "it's shorter", "session_id": 20370, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "sure", "session_id": 20370, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "I will clear the board", "session_id": 20370, "sequence_id": 56, "annotations": []}
{"role": "student", "content": "okk", "session_id": 20370, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 20370, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "does this make sense?", "session_id": 20370, "sequence_id": 59, "annotations": []}
{"role": "student", "content": "yess", "session_id": 20370, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "cool", "session_id": 20370, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "I think the hard part for you is when the exponent is negative", "session_id": 20370, "sequence_id": 62, "annotations": []}
{"role": "student", "content": "thank youuuuu", "session_id": 20370, "sequence_id": 63, "annotations": []}
{"role": "student", "content": "yes", "session_id": 20370, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "you are very welcome.", "session_id": 20370, "sequence_id": 65, "annotations": []}
{"role": "student", "content": "okay yeah i think that's all", "session_id": 20370, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "you are in good shape. bye", "session_id": 20370, "sequence_id": 67, "annotations": []}
{"role": "student", "content": "byee", "session_id": 20370, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "Oh hello.", "session_id": 20323, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "Hi again, Liam, assuming it's the same one.", "session_id": 20323, "sequence_id": 1, "annotations": [{"pii_type": "PERSON", "surrogate": "Liam", "start": 10, "end": 14}]}
{"role": "student", "content": "hi again", "session_id": 20323, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "Um", "session_id": 20323, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "do you have something else you want to work on or?", "session_id": 20323, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "Just needed to check one of my answers", "session_id": 20323, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "OK, sure", "session_id": 20323, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "ok", "session_id": 20323, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "so the question is \" Twice a number is 2. What is the number?\"", "session_id": 20323, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "twice a number is 2. What is the number? OK, so", "session_id": 20323, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "uh, would the same method work, just kind of like breaking it down in a sense.", "session_id": 20323, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "Yea I guess", "session_id": 20323, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "OK, so you know, like the previous question, it was like", "session_id": 20323, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "57, like it was equals the 57, it was like this.", "session_id": 20323, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "yea", "session_id": 20323, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "Yeah, so now if twice a number is 2. That means your 2 is on this side now.", "session_id": 20323, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "So it's on this side of the equation.", "session_id": 20323, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "because that's they're giving you the number.", "session_id": 20323, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "So", "session_id": 20323, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "twice the number, so", "session_id": 20323, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "like for example, twice the amount of", "session_id": 20323, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "apples you have", "session_id": 20323, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "is 2 apples. How many apples do you have?", "session_id": 20323, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "It would just be", "session_id": 20323, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "Does that make sense", "session_id": 20323, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "yea", "session_id": 20323, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "Just 2 times N equals the 2", "session_id": 20323, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "because it's", "session_id": 20323, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "double the number, twice is just double if you think about it.", "session_id": 20323, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "The answer I got was 1", "session_id": 20323, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "Whatever, how many apples you have right now?", "session_id": 20323, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "Yeah, one is correct. Yeah, just divide by 2 on, oh God, if you just divide by 2 on both sides, you get N equals the 1.", "session_id": 20323, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 20323, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "Uh, will that be all? or is, yeah, some other questions, concerns.", "session_id": 20323, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "Cause if you're working on work ****, I could just stay here and help you with it.", "session_id": 20323, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "just offering", "session_id": 20323, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "yea I have a mathbook I am working on", "session_id": 20323, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "Would you", "session_id": 20323, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "like assistance with that? Like", "session_id": 20323, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "would you want me to", "session_id": 20323, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "yes, no, maybe so.", "session_id": 20323, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "yea\ud83d\ude05", "session_id": 20323, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "Yeah, OK. Yeah, that's fine. I'm free.", "session_id": 20323, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "Just wanna make sure that uh", "session_id": 20323, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "you understand that", "session_id": 20323, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "in a sense", "session_id": 20323, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "All right. Um,", "session_id": 20323, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "you keep working on that and just let me know if you have any questions. I just like put it in the chat and I'll do my best to assist you with it.", "session_id": 20323, "sequence_id": 47, "annotations": []}
{"role": "student", "content": "yea, ok", "session_id": 20323, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "Sounds good.", "session_id": 20323, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "Alright, great.", "session_id": 20323, "sequence_id": 50, "annotations": []}
{"role": "student", "content": "its a little funny cause I did one question with one of the coaches and he gave me a wrong answer\ud83d\ude05", "session_id": 20323, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "Oh, really? Well, that's not supposed to happen, um.", "session_id": 20323, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "I hope that I'm not giving you the wrong answers for these.", "session_id": 20323, "sequence_id": 53, "annotations": []}
{"role": "student", "content": "yea I redid it though", "session_id": 20323, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "All right, good job. Nice, nice.", "session_id": 20323, "sequence_id": 55, "annotations": []}
{"role": "student", "content": "he was a little mean about it too..", "session_id": 20323, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "Well, that doesn't sound good. Um, if you do have any like concerns with the session, you could, I'm pretty sure you can like click a report button on the top, right?", "session_id": 20323, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "If you have like something you wanna address cuz that does not sound like what", "session_id": 20323, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "one of the coaches or tutors should be doing.", "session_id": 20323, "sequence_id": 59, "annotations": []}
{"role": "student", "content": "yea but it's a little weird cause I keep getting him too", "session_id": 20323, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "Oh, yeah, yeah, um.", "session_id": 20323, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "it's just like a, cause what happens is we just have like uh.", "session_id": 20323, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "a low ping that shows up if someone needs help and it just whoever clicks on it.", "session_id": 20323, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "uh", "session_id": 20323, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "I guess luckily in this case for you, I was just like conveniently on. And then I saw it I was like, OK.", "session_id": 20323, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "yeah, it's kind of like a luck thing. There's not really like a specific.", "session_id": 20323, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "as long as like, you know, your tutor, the coach is like proficient as I see as expertise.", "session_id": 20323, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "and knowledge on the area that you requested to, to work on, then they can see the request.", "session_id": 20323, "sequence_id": 68, "annotations": []}
{"role": "student", "content": "yea I met someone here and he was really helpful and sweet to me and my siblings", "session_id": 20323, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "Well, that's always nice to hear", "session_id": 20323, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "Um.", "session_id": 20323, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "if you, I'm not sure if you could request the tutor or something, but I know you can favor one, and then I'm pretty sure then they get like a notice.", "session_id": 20323, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "if you need help, if that's what you would like to do.", "session_id": 20323, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "with uh that coach, then you could do that.", "session_id": 20323, "sequence_id": 74, "annotations": []}
{"role": "student", "content": "okay I have another question to do", "session_id": 20323, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "Yeah, go for it.", "session_id": 20323, "sequence_id": 76, "annotations": []}
{"role": "student", "content": "oki", "session_id": 20323, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "Uh, if you don't mind me asking, um, is this like summer practice or is this for like a specific exam, just so I can like help you prepare better if you, if it's like for some sort of exam and you get like resources or.", "session_id": 20323, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "like as a reference", "session_id": 20323, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "or just like summer work from school or something.", "session_id": 20323, "sequence_id": 80, "annotations": []}
{"role": "student", "content": "it's a math workbook my mom gave me to do", "session_id": 20323, "sequence_id": 81, "annotations": []}
{"role": "volunteer", "content": "Ah, I see, I see.", "session_id": 20323, "sequence_id": 82, "annotations": []}
{"role": "student", "content": "its just that I am homeschooled", "session_id": 20323, "sequence_id": 83, "annotations": []}
{"role": "volunteer", "content": "OK, sorry to bother. um. Oh, OK.", "session_id": 20323, "sequence_id": 84, "annotations": []}
{"role": "volunteer", "content": "I see, I see", "session_id": 20323, "sequence_id": 85, "annotations": []}
{"role": "volunteer", "content": "All right, well, let me know if you need help, and I'll just be right here.", "session_id": 20323, "sequence_id": 86, "annotations": []}
{"role": "student", "content": "oki", "session_id": 20323, "sequence_id": 87, "annotations": []}
{"role": "volunteer", "content": "Everything, uh, going well, Liam.", "session_id": 20323, "sequence_id": 88, "annotations": [{"pii_type": "PERSON", "surrogate": "Liam", "start": 28, "end": 32}]}
{"role": "volunteer", "content": "Do install it over there", "session_id": 20323, "sequence_id": 89, "annotations": []}
{"role": "student", "content": "yea", "session_id": 20323, "sequence_id": 90, "annotations": []}
{"role": "student", "content": "Srry I have to go my mom needs help...", "session_id": 20323, "sequence_id": 91, "annotations": []}
{"role": "volunteer", "content": "Oh, OK. Yeah, no problem.", "session_id": 20323, "sequence_id": 92, "annotations": []}
{"role": "volunteer", "content": "All right. Um, if you do need help, uh, just like make a request. I'll see if I could uh.", "session_id": 20323, "sequence_id": 93, "annotations": []}
{"role": "volunteer", "content": "take the uh", "session_id": 20323, "sequence_id": 94, "annotations": []}
{"role": "student", "content": "oki", "session_id": 20323, "sequence_id": 95, "annotations": []}
{"role": "volunteer", "content": "call quick enough. But uh, yeah", "session_id": 20323, "sequence_id": 96, "annotations": []}
{"role": "student", "content": "bye", "session_id": 20323, "sequence_id": 97, "annotations": []}
{"role": "volunteer", "content": "Liam", "session_id": 20323, "sequence_id": 98, "annotations": [{"pii_type": "PERSON", "surrogate": "Liam", "start": 0, "end": 4}]}
{"role": "volunteer", "content": "Hello", "session_id": 20549, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "Alex i need help with a math problem", "session_id": 20549, "sequence_id": 1, "annotations": [{"pii_type": "PERSON", "surrogate": "Alex", "start": 0, "end": 4}]}
{"role": "student", "content": "give me a sec so i can write it down on the board real quick", "session_id": 20549, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "Use the quadratic formula", "session_id": 20549, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "oh okay", "session_id": 20549, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "the photo on the right is the problem im trying to solve", "session_id": 20549, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "the one on the left is the simplified verson i made", "session_id": 20549, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "Those aren't the same equations", "session_id": 20549, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "oh they arent?", "session_id": 20549, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "my fault can you show me my mistake?", "session_id": 20549, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "no they aren't", "session_id": 20549, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "Show me your work", "session_id": 20549, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "oh okay", "session_id": 20549, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "That's not correct", "session_id": 20549, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "oh why tho?", "session_id": 20549, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "i dont see it", "session_id": 20549, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "Do you see what I wrote?", "session_id": 20549, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "OHH okay i get it", "session_id": 20549, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "i forgot to square the 2", "session_id": 20549, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "got ittt thanks", "session_id": 20549, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "that's only part of it.  You didn't get the middle term", "session_id": 20549, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "I wrote the formula for squaring a binomial", "session_id": 20549, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "alr thanks", "session_id": 20549, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "imma try and solve it again", "session_id": 20549, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "can i ask how you got 12x?", "session_id": 20549, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "ohh okay i got it thanks", "session_id": 20549, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "But they want you to solve it using structure", "session_id": 20549, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "structire?", "session_id": 20549, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "like the formula?", "session_id": 20549, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "yes, I will show you what they want", "session_id": 20549, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "okay thanks", "session_id": 20549, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "Notice the (2x+3) ?", "session_id": 20549, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "yeah?", "session_id": 20549, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "We can simplify this by making a substitution", "session_id": 20549, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "We will let p= 2x+3", "session_id": 20549, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "Now we have a simpler quadratic equation that you can go ahead and factor.", "session_id": 20549, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "oh...why is this lowkey so hard", "session_id": 20549, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "can you factor that equation?", "session_id": 20549, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "thank you so much thp", "session_id": 20549, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 20549, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "Right, but it's p, not x", "session_id": 20549, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "oh okay", "session_id": 20549, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "But remember, that p =2x +3, so now you can replace the p in your factoring with 2x +3", "session_id": 20549, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "do you know what I mean?", "session_id": 20549, "sequence_id": 43, "annotations": []}
{"role": "student", "content": "ohh okay", "session_id": 20549, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "yeah so like it would be (2x+3-6) and (2x+3+2)", "session_id": 20549, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "exactly!", "session_id": 20549, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "oh yayy", "session_id": 20549, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "That's what they mean by using the structure to solve it.", "session_id": 20549, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "ohh okay i get it", "session_id": 20549, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "Do also remember how to square a binomial.  You will find it very useful to know in the future", "session_id": 20549, "sequence_id": 50, "annotations": []}
{"role": "student", "content": "uh..", "session_id": 20549, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "not really", "session_id": 20549, "sequence_id": 52, "annotations": []}
{"role": "student", "content": "ohh okay got it", "session_id": 20549, "sequence_id": 53, "annotations": []}
{"role": "student", "content": "oh okay so like hwo would i find the one value of x that is a solution to the equation", "session_id": 20549, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "It's (2x+5)(2x-3) =0, right?", "session_id": 20549, "sequence_id": 55, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 20549, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "So now you use the zero product property.  If two factors multiplied together =0, then set each one individually to 0 to find the zeros", "session_id": 20549, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "If a*b =0, then either a must =0 or b must =0", "session_id": 20549, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "Any questions about that?", "session_id": 20549, "sequence_id": 59, "annotations": []}
{"role": "student", "content": "yeah, so what numbers would be our b and a?", "session_id": 20549, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "I am saying that if two factors multiplied together =0 then set each one =0 and solve for x", "session_id": 20549, "sequence_id": 61, "annotations": []}
{"role": "student", "content": "ohh okay so like you would move them separately?", "session_id": 20549, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "you solve them separately", "session_id": 20549, "sequence_id": 63, "annotations": []}
{"role": "student", "content": "got it", "session_id": 20549, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "So what do you get for x?", "session_id": 20549, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "what are the zeros of the equation?", "session_id": 20549, "sequence_id": 66, "annotations": []}
{"role": "student", "content": "uhh hold up i messed up give me a se", "session_id": 20549, "sequence_id": 67, "annotations": []}
{"role": "student", "content": "sec", "session_id": 20549, "sequence_id": 68, "annotations": []}
{"role": "student", "content": "for the first one i got -2.5", "session_id": 20549, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "Or -5/2", "session_id": 20549, "sequence_id": 70, "annotations": []}
{"role": "student", "content": "yeah that too", "session_id": 20549, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "Looks good", "session_id": 20549, "sequence_id": 72, "annotations": []}
{"role": "student", "content": "thanks", "session_id": 20549, "sequence_id": 73, "annotations": []}
{"role": "student", "content": "for my eqation tho, it wants only one x", "session_id": 20549, "sequence_id": 74, "annotations": []}
{"role": "student", "content": "but in this case we have two", "session_id": 20549, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "That", "session_id": 20549, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "thats a bit odd. I guess you can use either one.  Usually these kind of questions ask for both", "session_id": 20549, "sequence_id": 77, "annotations": []}
{"role": "student", "content": "oh okay, so they would both work?", "session_id": 20549, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "They are both roots of the equation.", "session_id": 20549, "sequence_id": 79, "annotations": []}
{"role": "student", "content": "got it thank you!! i think im all good now!!", "session_id": 20549, "sequence_id": 80, "annotations": []}
{"role": "volunteer", "content": "Good.", "session_id": 20549, "sequence_id": 81, "annotations": []}
{"role": "volunteer", "content": "Have a good rest of the day", "session_id": 20549, "sequence_id": 82, "annotations": []}
{"role": "student", "content": "you too!", "session_id": 20549, "sequence_id": 83, "annotations": []}
{"role": "volunteer", "content": "bye", "session_id": 20549, "sequence_id": 84, "annotations": []}
{"role": "student", "content": "bye", "session_id": 20549, "sequence_id": 85, "annotations": []}
{"role": "volunteer", "content": "Hi that was my bad", "session_id": 20599, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "I just went to gt some water", "session_id": 20599, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "let's continue with the question", "session_id": 20599, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "ok", "session_id": 20599, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "so add 8 + 14?", "session_id": 20599, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "yes!", "session_id": 20599, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "then divide it by 2?", "session_id": 20599, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 20599, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "11?", "session_id": 20599, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "and then multiply by the height", "session_id": 20599, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "yes, 22/2 = 11", "session_id": 20599, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "11 times 8?", "session_id": 20599, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "what's the height here?", "session_id": 20599, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "7", "session_id": 20599, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "from base 1 to base 2?", "session_id": 20599, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "yes, so 11 * 7", "session_id": 20599, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "77", "session_id": 20599, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "good!", "session_id": 20599, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "is it 77 yd^3?", "session_id": 20599, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "or 2", "session_id": 20599, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "not quite. what is the unit for area?", "session_id": 20599, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "^2", "session_id": 20599, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "next one", "session_id": 20599, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "okay", "session_id": 20599, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "so i add 14 + 5", "session_id": 20599, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "yeah", "session_id": 20599, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "and then times it by 8?", "session_id": 20599, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "?", "session_id": 20599, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 20599, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "8 is the height here", "session_id": 20599, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "thats 76", "session_id": 20599, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "76 yd^2", "session_id": 20599, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "wait a sec", "session_id": 20599, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "14 + 5 = 19", "session_id": 20599, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "2 divided 2", "session_id": 20599, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "okay yes, 76 is right", "session_id": 20599, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "cm^2", "session_id": 20599, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "i mean cm 2", "session_id": 20599, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "i have one for volume of pyramid", "session_id": 20599, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "okay", "session_id": 20599, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "ok here it is", "session_id": 20599, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "keeps disappearing for some reason", "session_id": 20599, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "okay, do you know the formula ofr the volume of a pyramid?", "session_id": 20599, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "1/3?", "session_id": 20599, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "yes!", "session_id": 20599, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "1/3 times (lwh)", "session_id": 20599, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "would i do 8+7?", "session_id": 20599, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "oh", "session_id": 20599, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "length, width, height", "session_id": 20599, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "I don't see the questions?", "session_id": 20599, "sequence_id": 49, "annotations": []}
{"role": "student", "content": "so multiply everything first", "session_id": 20599, "sequence_id": 50, "annotations": []}
{"role": "student", "content": "then divide", "session_id": 20599, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "scroll up", "session_id": 20599, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "I'm all the way up", "session_id": 20599, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "I saw it before", "session_id": 20599, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "but not anymore", "session_id": 20599, "sequence_id": 55, "annotations": []}
{"role": "student", "content": "i circled it", "session_id": 20599, "sequence_id": 56, "annotations": []}
{"role": "student", "content": "let me put it back", "session_id": 20599, "sequence_id": 57, "annotations": []}
{"role": "student", "content": "here", "session_id": 20599, "sequence_id": 58, "annotations": []}
{"role": "student", "content": "may have to scroll down a lil", "session_id": 20599, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "I still don't see anything, but the question gives you the height and both sides of the rectangle at the base, right?", "session_id": 20599, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "then you would multiply those 3 values and divide by 3", "session_id": 20599, "sequence_id": 61, "annotations": []}
{"role": "student", "content": "did u scroll down slowly?", "session_id": 20599, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 20599, "sequence_id": 63, "annotations": []}
{"role": "student", "content": "do u see where i have the 1/3 at?", "session_id": 20599, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "But I think the reasoning is still right", "session_id": 20599, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "let me try reloading", "session_id": 20599, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "Okay I still don't see anything", "session_id": 20599, "sequence_id": 67, "annotations": []}
{"role": "student", "content": "wanna request in reading?", "session_id": 20599, "sequence_id": 68, "annotations": []}
{"role": "student", "content": "and i can screen share", "session_id": 20599, "sequence_id": 69, "annotations": []}
{"role": "student", "content": "or paste it easily", "session_id": 20599, "sequence_id": 70, "annotations": []}
{"role": "student", "content": "ill reffresh too", "session_id": 20599, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "uh I don't think that's needd", "session_id": 20599, "sequence_id": 72, "annotations": []}
{"role": "student", "content": "and then put it back", "session_id": 20599, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "I saw the question already, and you just need to muliply all 3 numbers together then divide by 3", "session_id": 20599, "sequence_id": 74, "annotations": []}
{"role": "student", "content": "kk", "session_id": 20599, "sequence_id": 75, "annotations": []}
{"role": "student", "content": "answer 3", "session_id": 20599, "sequence_id": 76, "annotations": []}
{"role": "student", "content": "ft3", "session_id": 20599, "sequence_id": 77, "annotations": []}
{"role": "student", "content": "here it is", "session_id": 20599, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "good!", "session_id": 20599, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "looks right", "session_id": 20599, "sequence_id": 80, "annotations": []}
{"role": "student", "content": "ok next one", "session_id": 20599, "sequence_id": 81, "annotations": []}
{"role": "student", "content": "i know u add with this one but idk which numbers to add", "session_id": 20599, "sequence_id": 82, "annotations": []}
{"role": "student", "content": "this is a picewise rectangular prism", "session_id": 20599, "sequence_id": 83, "annotations": []}
{"role": "volunteer", "content": "okay", "session_id": 20599, "sequence_id": 84, "annotations": []}
{"role": "student", "content": "i want to get this done before 12 am cst", "session_id": 20599, "sequence_id": 85, "annotations": []}
{"role": "volunteer", "content": "I sitll don't see anythign on the whitebaord", "session_id": 20599, "sequence_id": 86, "annotations": []}
{"role": "student", "content": "refresh", "session_id": 20599, "sequence_id": 87, "annotations": []}
{"role": "student", "content": "its my fault let me refresh", "session_id": 20599, "sequence_id": 88, "annotations": []}
{"role": "volunteer", "content": "oh I see it now", "session_id": 20599, "sequence_id": 89, "annotations": []}
{"role": "volunteer", "content": "okay let's do each ractangle seperately, starting with the left one", "session_id": 20599, "sequence_id": 90, "annotations": []}
{"role": "student", "content": "kk", "session_id": 20599, "sequence_id": 91, "annotations": []}
{"role": "student", "content": "do i add 8,3, nd 6?", "session_id": 20599, "sequence_id": 92, "annotations": []}
{"role": "volunteer", "content": "we're finding volume, so we gotta multiply", "session_id": 20599, "sequence_id": 93, "annotations": []}
{"role": "student", "content": "oh ok", "session_id": 20599, "sequence_id": 94, "annotations": []}
{"role": "student", "content": "multiply everything?", "session_id": 20599, "sequence_id": 95, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 20599, "sequence_id": 96, "annotations": []}
{"role": "student", "content": "i dont think we do that", "session_id": 20599, "sequence_id": 97, "annotations": []}
{"role": "student", "content": "the explanation for it didnt show that", "session_id": 20599, "sequence_id": 98, "annotations": []}
{"role": "volunteer", "content": "are you sure? for the volume>", "session_id": 20599, "sequence_id": 99, "annotations": []}
{"role": "student", "content": "u multiply sep u dont multiply it altogether", "session_id": 20599, "sequence_id": 100, "annotations": []}
{"role": "volunteer", "content": "you do 3 * 8 * 6", "session_id": 20599, "sequence_id": 101, "annotations": []}
{"role": "student", "content": "ok", "session_id": 20599, "sequence_id": 102, "annotations": []}
{"role": "student", "content": "holdonn", "session_id": 20599, "sequence_id": 103, "annotations": []}
{"role": "student", "content": "new one", "session_id": 20599, "sequence_id": 104, "annotations": []}
{"role": "volunteer", "content": "okay", "session_id": 20599, "sequence_id": 105, "annotations": []}
{"role": "student", "content": "multiply 8,8, and 4 or?", "session_id": 20599, "sequence_id": 106, "annotations": []}
{"role": "volunteer", "content": "yep, those 3 for the left rectangle", "session_id": 20599, "sequence_id": 107, "annotations": []}
{"role": "student", "content": "kk", "session_id": 20599, "sequence_id": 108, "annotations": []}
{"role": "student", "content": "thats 256", "session_id": 20599, "sequence_id": 109, "annotations": []}
{"role": "volunteer", "content": "okay good", "session_id": 20599, "sequence_id": 110, "annotations": []}
{"role": "student", "content": "5x5 is 25", "session_id": 20599, "sequence_id": 111, "annotations": []}
{"role": "student", "content": "thats 281", "session_id": 20599, "sequence_id": 112, "annotations": []}
{"role": "volunteer", "content": "oh, but that's only the area,", "session_id": 20599, "sequence_id": 113, "annotations": []}
{"role": "volunteer", "content": "that still has a width of 8", "session_id": 20599, "sequence_id": 114, "annotations": []}
{"role": "volunteer", "content": "so it's 5 * 5 * 8", "session_id": 20599, "sequence_id": 115, "annotations": []}
{"role": "student", "content": "ohhh", "session_id": 20599, "sequence_id": 116, "annotations": []}
{"role": "student", "content": "200", "session_id": 20599, "sequence_id": 117, "annotations": []}
{"role": "student", "content": "456", "session_id": 20599, "sequence_id": 118, "annotations": []}
{"role": "student", "content": "so 456 cm?", "session_id": 20599, "sequence_id": 119, "annotations": []}
{"role": "volunteer", "content": "yep yep", "session_id": 20599, "sequence_id": 120, "annotations": []}
{"role": "student", "content": "k next one", "session_id": 20599, "sequence_id": 121, "annotations": []}
{"role": "student", "content": "can u see it", "session_id": 20599, "sequence_id": 122, "annotations": []}
{"role": "student", "content": "8x3x7?", "session_id": 20599, "sequence_id": 123, "annotations": []}
{"role": "volunteer", "content": "yep", "session_id": 20599, "sequence_id": 124, "annotations": []}
{"role": "student", "content": "5x3x8?", "session_id": 20599, "sequence_id": 125, "annotations": []}
{"role": "student", "content": "hello", "session_id": 20599, "sequence_id": 126, "annotations": []}
{"role": "volunteer", "content": "hi", "session_id": 20599, "sequence_id": 127, "annotations": []}
{"role": "volunteer", "content": "ues the top is that value", "session_id": 20599, "sequence_id": 128, "annotations": []}
{"role": "volunteer", "content": "what about the bottom", "session_id": 20599, "sequence_id": 129, "annotations": []}
{"role": "student", "content": "5x3x3", "session_id": 20599, "sequence_id": 130, "annotations": []}
{"role": "student", "content": "right?", "session_id": 20599, "sequence_id": 131, "annotations": []}
{"role": "student", "content": "or wrong", "session_id": 20599, "sequence_id": 132, "annotations": []}
{"role": "volunteer", "content": "for the next, not quite", "session_id": 20599, "sequence_id": 133, "annotations": []}
{"role": "volunteer", "content": "identify the height, legnth, and width", "session_id": 20599, "sequence_id": 134, "annotations": []}
{"role": "student", "content": "ok so its 5x3 x something", "session_id": 20599, "sequence_id": 135, "annotations": []}
{"role": "student", "content": "5 and 3 is correct tho?", "session_id": 20599, "sequence_id": 136, "annotations": []}
{"role": "volunteer", "content": "that's the top rectanglr", "session_id": 20599, "sequence_id": 137, "annotations": []}
{"role": "volunteer", "content": "top I 5 * 3 * 8", "session_id": 20599, "sequence_id": 138, "annotations": []}
{"role": "volunteer", "content": "what about the bottom?", "session_id": 20599, "sequence_id": 139, "annotations": []}
{"role": "student", "content": "i did the bottom", "session_id": 20599, "sequence_id": 140, "annotations": []}
{"role": "student", "content": "8x3x7", "session_id": 20599, "sequence_id": 141, "annotations": []}
{"role": "student", "content": "which 168", "session_id": 20599, "sequence_id": 142, "annotations": []}
{"role": "volunteer", "content": "okay good, yes that's the bottom", "session_id": 20599, "sequence_id": 143, "annotations": []}
{"role": "student", "content": "brb", "session_id": 20599, "sequence_id": 144, "annotations": []}
{"role": "volunteer", "content": "okay", "session_id": 20599, "sequence_id": 145, "annotations": []}
{"role": "student", "content": "hey again i think", "session_id": 20776, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "Yeah lol", "session_id": 20776, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "How can I help?", "session_id": 20776, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "geo", "session_id": 20776, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "i think again", "session_id": 20776, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "what was last time", "session_id": 20776, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "Im pretty sure we did a skirt and sweater problem last time", "session_id": 20776, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "yeah lol", "session_id": 20776, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "still havn't got that", "session_id": 20776, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "Oh, want me to help you finish that?", "session_id": 20776, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "nah i need help to see if im doing my geomatry right", "session_id": 20776, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "Alright, any particular problem?", "session_id": 20776, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "no not really just my last attempt if i did i have to restart", "session_id": 20776, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "ill put down ones i did", "session_id": 20776, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "Sounds good", "session_id": 20776, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "thats the equation", "session_id": 20776, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "i put", "session_id": 20776, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "So how'd you solve it?", "session_id": 20776, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "ill put it here", "session_id": 20776, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "14?", "session_id": 20776, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "had to find the formula: Area = (base \u00d7 height) \u00f7 2\n2. substitute your values\n3. multiply base times height\n4. divide by 2\n5. include the square units", "session_id": 20776, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "the other coach said it was right", "session_id": 20776, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "They said 14 was right?", "session_id": 20776, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "I'm sorry unless I'm missing something I don't think so", "session_id": 20776, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "brb", "session_id": 20776, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "But (base x height)/2 is right", "session_id": 20776, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "gotta bring grocieries", "session_id": 20776, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "Alright, let me know when you're back", "session_id": 20776, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "do u mind waitin like an 1hr?", "session_id": 20776, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "hm I guess I can just be afk", "session_id": 20776, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "ok thxs", "session_id": 20776, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "np", "session_id": 20776, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "1 hour or 2", "session_id": 20776, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "oh alright", "session_id": 20776, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "So maybe just start a new session then", "session_id": 20776, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "and I'll try to pick it up", "session_id": 20776, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "do you remember which tutor taught you how to do this problem?", "session_id": 20776, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "no", "session_id": 20776, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "okay, no worries", "session_id": 20776, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "See you! :)", "session_id": 20776, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "Hello", "session_id": 20582, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "Hi, is it okey if we can talk out loud in the mic?", "session_id": 20582, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 20582, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "How may I help you?", "session_id": 20582, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "double digit.", "session_id": 20582, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "With multiplication with double digits.", "session_id": 20582, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "Mm", "session_id": 20582, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "Do you have a problem that you're working on?", "session_id": 20582, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "Um, 6 times.", "session_id": 20582, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "16 times 2.", "session_id": 20582, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "OK, go ahead and write it on the board.", "session_id": 20582, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "6.", "session_id": 20582, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "I did.", "session_id": 20582, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "OK, you wanna try that?", "session_id": 20582, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "Yeah.", "session_id": 20582, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "Do you know how to do it?", "session_id": 20582, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 20582, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "OK, go ahead.", "session_id": 20582, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "Ah", "session_id": 20582, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "I don't know, actually.", "session_id": 20582, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "OK, well, first,", "session_id": 20582, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "We work with the two.", "session_id": 20582, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "What is 2 x 6?", "session_id": 20582, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "Hello", "session_id": 20582, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "Yeah.", "session_id": 20582, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "What is 2 x 6?", "session_id": 20582, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "Um", "session_id": 20582, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "12.", "session_id": 20582, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "Yes", "session_id": 20582, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "So you write down the 2.", "session_id": 20582, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "You write down the 2.", "session_id": 20582, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "Not the one, just the 2.", "session_id": 20582, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "He puts the two down below and you put the one.", "session_id": 20582, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "Up here", "session_id": 20582, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "Now you multiply.", "session_id": 20582, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "2 x 1.", "session_id": 20582, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "Oh.", "session_id": 20582, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "was", "session_id": 20582, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "The one that you carried.", "session_id": 20582, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "So 2.", "session_id": 20582, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "2 x 1.", "session_id": 20582, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "What is 2 x 1?", "session_id": 20582, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "One", "session_id": 20582, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "Now, 2 x 1.", "session_id": 20582, "sequence_id": 43, "annotations": []}
{"role": "student", "content": "Till", "session_id": 20582, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "Yes, and then you add this one up here.", "session_id": 20582, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "So that's 3, right?", "session_id": 20582, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 20582, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "You put that down here.", "session_id": 20582, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "And that's the answer.", "session_id": 20582, "sequence_id": 49, "annotations": []}
{"role": "student", "content": "Oh", "session_id": 20582, "sequence_id": 50, "annotations": []}
{"role": "student", "content": "And my name is actually Maria.", "session_id": 20582, "sequence_id": 51, "annotations": [{"pii_type": "PERSON", "surrogate": "Maria", "start": 24, "end": 29}]}
{"role": "volunteer", "content": "Nella? Oh, OK.", "session_id": 20582, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "Why does it say Maria?", "session_id": 20582, "sequence_id": 53, "annotations": []}
{"role": "student", "content": "No, it just like came.", "session_id": 20582, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "Oh, OK.", "session_id": 20582, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "Do you want to try another example?", "session_id": 20582, "sequence_id": 56, "annotations": []}
{"role": "student", "content": "Yeah.", "session_id": 20582, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "Do you have an example?", "session_id": 20582, "sequence_id": 58, "annotations": []}
{"role": "student", "content": "that.", "session_id": 20582, "sequence_id": 59, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 20582, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "OK, write it on the board.", "session_id": 20582, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "OK, what, what do we do first, do you think?", "session_id": 20582, "sequence_id": 62, "annotations": []}
{"role": "student", "content": "OK", "session_id": 20582, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "All right. First we multiply the 6.", "session_id": 20582, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "Times the 7.", "session_id": 20582, "sequence_id": 65, "annotations": []}
{"role": "student", "content": "P.", "session_id": 20582, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "What is 6 x 7?", "session_id": 20582, "sequence_id": 67, "annotations": []}
{"role": "student", "content": "Um, I need help with that.", "session_id": 20582, "sequence_id": 68, "annotations": []}
{"role": "student", "content": "That's.", "session_id": 20582, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "Oh, all right. Have you learned the multiplication table?", "session_id": 20582, "sequence_id": 70, "annotations": []}
{"role": "student", "content": "Kind of.", "session_id": 20582, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "OK. 6 x 7.", "session_id": 20582, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "It is 42.", "session_id": 20582, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "So what do we write?", "session_id": 20582, "sequence_id": 74, "annotations": []}
{"role": "volunteer", "content": "Below the 6, what do we put here?", "session_id": 20582, "sequence_id": 75, "annotations": []}
{"role": "student", "content": "P", "session_id": 20582, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "Yes, go ahead and put a 2 there.", "session_id": 20582, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "And what do we do with the 4?", "session_id": 20582, "sequence_id": 78, "annotations": []}
{"role": "student", "content": "Put it on top of the 2 over there.", "session_id": 20582, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "Yeah.", "session_id": 20582, "sequence_id": 80, "annotations": []}
{"role": "volunteer", "content": "That's right.", "session_id": 20582, "sequence_id": 81, "annotations": []}
{"role": "student", "content": "Yeah.", "session_id": 20582, "sequence_id": 82, "annotations": []}
{"role": "volunteer", "content": "Can you do that? Yeah, all right.", "session_id": 20582, "sequence_id": 83, "annotations": []}
{"role": "volunteer", "content": "That's right.", "session_id": 20582, "sequence_id": 84, "annotations": []}
{"role": "volunteer", "content": "Now what do you think we do next?", "session_id": 20582, "sequence_id": 85, "annotations": []}
{"role": "student", "content": "Add 4 times 2.", "session_id": 20582, "sequence_id": 86, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 20582, "sequence_id": 87, "annotations": []}
{"role": "student", "content": "Yeah.", "session_id": 20582, "sequence_id": 88, "annotations": []}
{"role": "volunteer", "content": "First, we, we, we're still working with the 6, right? We multiply 6 times 2.", "session_id": 20582, "sequence_id": 89, "annotations": []}
{"role": "student", "content": "Oh.", "session_id": 20582, "sequence_id": 90, "annotations": []}
{"role": "volunteer", "content": "With 6 x 2.", "session_id": 20582, "sequence_id": 91, "annotations": []}
{"role": "volunteer", "content": "You know, 6 times 2.", "session_id": 20582, "sequence_id": 92, "annotations": []}
{"role": "student", "content": "Well", "session_id": 20582, "sequence_id": 93, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 20582, "sequence_id": 94, "annotations": []}
{"role": "volunteer", "content": "And then we add", "session_id": 20582, "sequence_id": 95, "annotations": []}
{"role": "volunteer", "content": "That 4 appeared.", "session_id": 20582, "sequence_id": 96, "annotations": []}
{"role": "volunteer", "content": "It's 12 + 4.", "session_id": 20582, "sequence_id": 97, "annotations": []}
{"role": "volunteer", "content": "Mm.", "session_id": 20582, "sequence_id": 98, "annotations": []}
{"role": "student", "content": "16.", "session_id": 20582, "sequence_id": 99, "annotations": []}
{"role": "volunteer", "content": "Yes, and you can write that 16 there.", "session_id": 20582, "sequence_id": 100, "annotations": []}
{"role": "volunteer", "content": "There you go.", "session_id": 20582, "sequence_id": 101, "annotations": []}
{"role": "volunteer", "content": "162.", "session_id": 20582, "sequence_id": 102, "annotations": []}
{"role": "student", "content": "That's big number.", "session_id": 20582, "sequence_id": 103, "annotations": []}
{"role": "volunteer", "content": "Yeah.", "session_id": 20582, "sequence_id": 104, "annotations": []}
{"role": "volunteer", "content": "It would take a long time to count all those numbers.", "session_id": 20582, "sequence_id": 105, "annotations": []}
{"role": "student", "content": "Yeah.", "session_id": 20582, "sequence_id": 106, "annotations": []}
{"role": "student", "content": "My sister also does this.", "session_id": 20582, "sequence_id": 107, "annotations": []}
{"role": "volunteer", "content": "Your sister does this?", "session_id": 20582, "sequence_id": 108, "annotations": []}
{"role": "student", "content": "Yeah.", "session_id": 20582, "sequence_id": 109, "annotations": []}
{"role": "volunteer", "content": "Yeah.", "session_id": 20582, "sequence_id": 110, "annotations": []}
{"role": "volunteer", "content": "How old are you?", "session_id": 20582, "sequence_id": 111, "annotations": []}
{"role": "student", "content": "9", "session_id": 20582, "sequence_id": 112, "annotations": [{"pii_type": "AGE", "surrogate": "9", "start": 0, "end": 1}]}
{"role": "volunteer", "content": "8.", "session_id": 20582, "sequence_id": 113, "annotations": []}
{"role": "volunteer", "content": "What grade are you in?", "session_id": 20582, "sequence_id": 114, "annotations": []}
{"role": "student", "content": "Fourth", "session_id": 20582, "sequence_id": 115, "annotations": [{"pii_type": "GRADE_LEVEL", "surrogate": "Fourth", "start": 0, "end": 6}]}
{"role": "volunteer", "content": "Oh", "session_id": 20582, "sequence_id": 116, "annotations": []}
{"role": "volunteer", "content": "What grade is your sister in?", "session_id": 20582, "sequence_id": 117, "annotations": []}
{"role": "student", "content": "Eighth", "session_id": 20582, "sequence_id": 118, "annotations": [{"pii_type": "GRADE_LEVEL", "surrogate": "Eighth", "start": 0, "end": 6}]}
{"role": "volunteer", "content": "one.", "session_id": 20582, "sequence_id": 119, "annotations": []}
{"role": "volunteer", "content": "Eighth grade, OK.", "session_id": 20582, "sequence_id": 120, "annotations": [{"pii_type": "GRADE_LEVEL", "surrogate": "Eighth grade", "start": 0, "end": 12}]}
{"role": "volunteer", "content": "I thought you were in Fifth grade.", "session_id": 20582, "sequence_id": 121, "annotations": [{"pii_type": "GRADE_LEVEL", "surrogate": "Fifth grade", "start": 22, "end": 33}]}
{"role": "student", "content": "Yeah, there was no Fifth grade option, so my sister told me to", "session_id": 20582, "sequence_id": 122, "annotations": [{"pii_type": "GRADE_LEVEL", "surrogate": "Fifth grade", "start": 19, "end": 30}]}
{"role": "student", "content": "Um, put Fifth grade.", "session_id": 20582, "sequence_id": 123, "annotations": [{"pii_type": "GRADE_LEVEL", "surrogate": "Fifth grade", "start": 8, "end": 19}]}
{"role": "volunteer", "content": "OK, that's OK.", "session_id": 20582, "sequence_id": 124, "annotations": []}
{"role": "volunteer", "content": "Did you want to try another one?", "session_id": 20582, "sequence_id": 125, "annotations": []}
{"role": "student", "content": "Yeah.", "session_id": 20582, "sequence_id": 126, "annotations": []}
{"role": "volunteer", "content": "Do you have one you wanna do, or?", "session_id": 20582, "sequence_id": 127, "annotations": []}
{"role": "student", "content": "Yeah, I have one.", "session_id": 20582, "sequence_id": 128, "annotations": []}
{"role": "student", "content": "Oh", "session_id": 20582, "sequence_id": 129, "annotations": []}
{"role": "student", "content": "OK", "session_id": 20582, "sequence_id": 130, "annotations": []}
{"role": "volunteer", "content": "What do we do first?", "session_id": 20582, "sequence_id": 131, "annotations": []}
{"role": "volunteer", "content": "you say.", "session_id": 20582, "sequence_id": 132, "annotations": []}
{"role": "student", "content": "Um,", "session_id": 20582, "sequence_id": 133, "annotations": []}
{"role": "student", "content": "Do 2 x 5.", "session_id": 20582, "sequence_id": 134, "annotations": []}
{"role": "volunteer", "content": "Yes, what's, what's 5 times or 5 times 2.", "session_id": 20582, "sequence_id": 135, "annotations": []}
{"role": "student", "content": "10", "session_id": 20582, "sequence_id": 136, "annotations": []}
{"role": "volunteer", "content": "10, OK.", "session_id": 20582, "sequence_id": 137, "annotations": []}
{"role": "volunteer", "content": "5 times 2 equals 10.", "session_id": 20582, "sequence_id": 138, "annotations": []}
{"role": "volunteer", "content": "OK, that's, you put the 0 there.", "session_id": 20582, "sequence_id": 139, "annotations": []}
{"role": "volunteer", "content": "What do you do with the one?", "session_id": 20582, "sequence_id": 140, "annotations": []}
{"role": "student", "content": "Put it up.", "session_id": 20582, "sequence_id": 141, "annotations": []}
{"role": "volunteer", "content": "Huh.", "session_id": 20582, "sequence_id": 142, "annotations": []}
{"role": "student", "content": "Above the other one?", "session_id": 20582, "sequence_id": 143, "annotations": []}
{"role": "volunteer", "content": "Yeah, you put it up above.", "session_id": 20582, "sequence_id": 144, "annotations": []}
{"role": "volunteer", "content": "OK. Now what do we do next?", "session_id": 20582, "sequence_id": 145, "annotations": []}
{"role": "student", "content": "Do 5 times 1.", "session_id": 20582, "sequence_id": 146, "annotations": []}
{"role": "volunteer", "content": "Yes", "session_id": 20582, "sequence_id": 147, "annotations": []}
{"role": "volunteer", "content": "Exactly.", "session_id": 20582, "sequence_id": 148, "annotations": []}
{"role": "student", "content": "5 x 1 is 5.", "session_id": 20582, "sequence_id": 149, "annotations": []}
{"role": "volunteer", "content": "But what about that one way up there?", "session_id": 20582, "sequence_id": 150, "annotations": []}
{"role": "student", "content": "We had it.", "session_id": 20582, "sequence_id": 151, "annotations": []}
{"role": "volunteer", "content": "Yeah.", "session_id": 20582, "sequence_id": 152, "annotations": []}
{"role": "student", "content": "So it's 6.", "session_id": 20582, "sequence_id": 153, "annotations": []}
{"role": "volunteer", "content": "That's right.", "session_id": 20582, "sequence_id": 154, "annotations": []}
{"role": "volunteer", "content": "Very good.", "session_id": 20582, "sequence_id": 155, "annotations": []}
{"role": "volunteer", "content": "That's it.", "session_id": 20582, "sequence_id": 156, "annotations": []}
{"role": "student", "content": "Sorry about the fat 6.", "session_id": 20582, "sequence_id": 157, "annotations": []}
{"role": "volunteer", "content": "That's OK. That's right. That's exactly right.", "session_id": 20582, "sequence_id": 158, "annotations": []}
{"role": "volunteer", "content": "Hm", "session_id": 20582, "sequence_id": 159, "annotations": []}
{"role": "student", "content": "I have another one.", "session_id": 20582, "sequence_id": 160, "annotations": []}
{"role": "volunteer", "content": "OK.", "session_id": 20582, "sequence_id": 161, "annotations": []}
{"role": "volunteer", "content": "Hm", "session_id": 20582, "sequence_id": 162, "annotations": []}
{"role": "volunteer", "content": "Go ahead and give it a try.", "session_id": 20582, "sequence_id": 163, "annotations": []}
{"role": "student", "content": "0 times 7 is 0.", "session_id": 20582, "sequence_id": 164, "annotations": []}
{"role": "volunteer", "content": "All right, that's right.", "session_id": 20582, "sequence_id": 165, "annotations": []}
{"role": "student", "content": "And 7 times 5 is", "session_id": 20582, "sequence_id": 166, "annotations": []}
{"role": "student", "content": "5", "session_id": 20582, "sequence_id": 167, "annotations": []}
{"role": "volunteer", "content": "Right, very good.", "session_id": 20582, "sequence_id": 168, "annotations": []}
{"role": "volunteer", "content": "That's it.", "session_id": 20582, "sequence_id": 169, "annotations": []}
{"role": "volunteer", "content": "Excellent.", "session_id": 20582, "sequence_id": 170, "annotations": []}
{"role": "student", "content": "Thanks.", "session_id": 20582, "sequence_id": 171, "annotations": []}
{"role": "volunteer", "content": "I think you're learning this.", "session_id": 20582, "sequence_id": 172, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 20582, "sequence_id": 173, "annotations": []}
{"role": "volunteer", "content": "Mm", "session_id": 20582, "sequence_id": 174, "annotations": []}
{"role": "volunteer", "content": "Did you have another one?", "session_id": 20582, "sequence_id": 175, "annotations": []}
{"role": "student", "content": "Yeah.", "session_id": 20582, "sequence_id": 176, "annotations": []}
{"role": "volunteer", "content": "We can go back up to the top.", "session_id": 20582, "sequence_id": 177, "annotations": []}
{"role": "student", "content": "Yeah, there's like um a space on the bottom of the first one that we wrote.", "session_id": 20582, "sequence_id": 178, "annotations": []}
{"role": "volunteer", "content": "All right, there's not too much space there.", "session_id": 20582, "sequence_id": 179, "annotations": []}
{"role": "volunteer", "content": "All right, you can put it wherever you want.", "session_id": 20582, "sequence_id": 180, "annotations": []}
{"role": "student", "content": "I'm putting it right now.", "session_id": 20582, "sequence_id": 181, "annotations": []}
{"role": "volunteer", "content": "Yes, I see.", "session_id": 20582, "sequence_id": 182, "annotations": []}
{"role": "volunteer", "content": "OK, go ahead and give this a try.", "session_id": 20582, "sequence_id": 183, "annotations": []}
{"role": "student", "content": "12, 3 times for 12.", "session_id": 20582, "sequence_id": 184, "annotations": []}
{"role": "volunteer", "content": "It is", "session_id": 20582, "sequence_id": 185, "annotations": []}
{"role": "student", "content": "And", "session_id": 20582, "sequence_id": 186, "annotations": []}
{"role": "student", "content": "4 times 1.", "session_id": 20582, "sequence_id": 187, "annotations": []}
{"role": "student", "content": "is 4.", "session_id": 20582, "sequence_id": 188, "annotations": []}
{"role": "student", "content": "4 + 1 is 5.", "session_id": 20582, "sequence_id": 189, "annotations": []}
{"role": "volunteer", "content": "That's it.", "session_id": 20582, "sequence_id": 190, "annotations": []}
{"role": "student", "content": "I think we should erase some so we have more space.", "session_id": 20582, "sequence_id": 191, "annotations": []}
{"role": "volunteer", "content": "OK.", "session_id": 20582, "sequence_id": 192, "annotations": []}
{"role": "volunteer", "content": "I will erase the whole board.", "session_id": 20582, "sequence_id": 193, "annotations": []}
{"role": "volunteer", "content": "done.", "session_id": 20582, "sequence_id": 194, "annotations": []}
{"role": "student", "content": "Let's start from the top.", "session_id": 20582, "sequence_id": 195, "annotations": []}
{"role": "volunteer", "content": "OK.", "session_id": 20582, "sequence_id": 196, "annotations": []}
{"role": "student", "content": "6 times 5 is", "session_id": 20582, "sequence_id": 197, "annotations": []}
{"role": "volunteer", "content": "Whoops, I don't see it.", "session_id": 20582, "sequence_id": 198, "annotations": []}
{"role": "volunteer", "content": "Wait a minute.", "session_id": 20582, "sequence_id": 199, "annotations": []}
{"role": "student", "content": "All in the top.", "session_id": 20582, "sequence_id": 200, "annotations": []}
{"role": "volunteer", "content": "Hello?", "session_id": 20582, "sequence_id": 201, "annotations": []}
{"role": "student", "content": "Yeah.", "session_id": 20582, "sequence_id": 202, "annotations": []}
{"role": "volunteer", "content": "I don't see it.", "session_id": 20582, "sequence_id": 203, "annotations": []}
{"role": "student", "content": "Oh", "session_id": 20582, "sequence_id": 204, "annotations": []}
{"role": "volunteer", "content": "Sometimes that happens.", "session_id": 20582, "sequence_id": 205, "annotations": []}
{"role": "volunteer", "content": "So this is", "session_id": 20582, "sequence_id": 206, "annotations": []}
{"role": "student", "content": "I'll write it.", "session_id": 20582, "sequence_id": 207, "annotations": []}
{"role": "volunteer", "content": "Can you try writing it again?", "session_id": 20582, "sequence_id": 208, "annotations": []}
{"role": "student", "content": "Yeah.", "session_id": 20582, "sequence_id": 209, "annotations": []}
{"role": "student", "content": "erase it and write it again.", "session_id": 20582, "sequence_id": 210, "annotations": []}
{"role": "student", "content": "I'm gonna write it on the top now.", "session_id": 20582, "sequence_id": 211, "annotations": []}
{"role": "volunteer", "content": "OK.", "session_id": 20582, "sequence_id": 212, "annotations": []}
{"role": "student", "content": "Do you see it now?", "session_id": 20582, "sequence_id": 213, "annotations": []}
{"role": "volunteer", "content": "No", "session_id": 20582, "sequence_id": 214, "annotations": []}
{"role": "student", "content": "Has 16.", "session_id": 20582, "sequence_id": 215, "annotations": []}
{"role": "volunteer", "content": "Do you see where I wrote 16.", "session_id": 20582, "sequence_id": 216, "annotations": []}
{"role": "student", "content": "No.", "session_id": 20582, "sequence_id": 217, "annotations": []}
{"role": "volunteer", "content": "Mm", "session_id": 20582, "sequence_id": 218, "annotations": []}
{"role": "volunteer", "content": "Maybe something happened to the, maybe the board isn't working.", "session_id": 20582, "sequence_id": 219, "annotations": []}
{"role": "student", "content": "Yeah.", "session_id": 20582, "sequence_id": 220, "annotations": []}
{"role": "student", "content": "Oh yeah, I see where you wrote the 16.", "session_id": 20582, "sequence_id": 221, "annotations": []}
{"role": "volunteer", "content": "Where is your 16?", "session_id": 20582, "sequence_id": 222, "annotations": []}
{"role": "student", "content": "on the other side.", "session_id": 20582, "sequence_id": 223, "annotations": []}
{"role": "volunteer", "content": "The other side.", "session_id": 20582, "sequence_id": 224, "annotations": []}
{"role": "volunteer", "content": "Huh", "session_id": 20582, "sequence_id": 225, "annotations": []}
{"role": "student", "content": "Do you see it?", "session_id": 20582, "sequence_id": 226, "annotations": []}
{"role": "volunteer", "content": "I don't see it.", "session_id": 20582, "sequence_id": 227, "annotations": []}
{"role": "student", "content": "Oh.", "session_id": 20582, "sequence_id": 228, "annotations": []}
{"role": "student", "content": "Then I'll just write it and decide that you have yours.", "session_id": 20582, "sequence_id": 229, "annotations": []}
{"role": "volunteer", "content": "OK.", "session_id": 20582, "sequence_id": 230, "annotations": []}
{"role": "student", "content": "It's gonna be on the bottom.", "session_id": 20582, "sequence_id": 231, "annotations": []}
{"role": "student", "content": "Uh", "session_id": 20582, "sequence_id": 232, "annotations": []}
{"role": "volunteer", "content": "OK.", "session_id": 20582, "sequence_id": 233, "annotations": []}
{"role": "student", "content": "I'm riding it on the bottom.", "session_id": 20582, "sequence_id": 234, "annotations": []}
{"role": "volunteer", "content": "All right, I see it.", "session_id": 20582, "sequence_id": 235, "annotations": []}
{"role": "volunteer", "content": "You want to go outside.", "session_id": 20582, "sequence_id": 236, "annotations": []}
{"role": "volunteer", "content": "Mm", "session_id": 20582, "sequence_id": 237, "annotations": []}
{"role": "volunteer", "content": "Hold on. My dog wants to go outside.", "session_id": 20582, "sequence_id": 238, "annotations": []}
{"role": "volunteer", "content": "Hm.", "session_id": 20582, "sequence_id": 239, "annotations": []}
{"role": "volunteer", "content": "OK, go ahead.", "session_id": 20582, "sequence_id": 240, "annotations": []}
{"role": "student", "content": "6 times 5 is", "session_id": 20582, "sequence_id": 241, "annotations": []}
{"role": "student", "content": "30?", "session_id": 20582, "sequence_id": 242, "annotations": []}
{"role": "volunteer", "content": "Yes, very good.", "session_id": 20582, "sequence_id": 243, "annotations": []}
{"role": "student", "content": "Free, I mean, I mean 5 times 1 is 5.", "session_id": 20582, "sequence_id": 244, "annotations": []}
{"role": "volunteer", "content": "Right?", "session_id": 20582, "sequence_id": 245, "annotations": []}
{"role": "student", "content": "And 5 + 3 is 8.", "session_id": 20582, "sequence_id": 246, "annotations": []}
{"role": "volunteer", "content": "Right.", "session_id": 20582, "sequence_id": 247, "annotations": []}
{"role": "student", "content": "And the answer is 80.", "session_id": 20582, "sequence_id": 248, "annotations": []}
{"role": "volunteer", "content": "That's right.", "session_id": 20582, "sequence_id": 249, "annotations": []}
{"role": "volunteer", "content": "You're getting good at this.", "session_id": 20582, "sequence_id": 250, "annotations": []}
{"role": "student", "content": "Yeah, I didn't know how to do it in this way.", "session_id": 20582, "sequence_id": 251, "annotations": []}
{"role": "volunteer", "content": "Oh, did you do it in a different way?", "session_id": 20582, "sequence_id": 252, "annotations": []}
{"role": "student", "content": "Yeah, I just like do it like normally in a sentence.", "session_id": 20582, "sequence_id": 253, "annotations": []}
{"role": "volunteer", "content": "Uh", "session_id": 20582, "sequence_id": 254, "annotations": []}
{"role": "volunteer", "content": "All right, well,", "session_id": 20582, "sequence_id": 255, "annotations": []}
{"role": "student", "content": "I learned something new today.", "session_id": 20582, "sequence_id": 256, "annotations": []}
{"role": "volunteer", "content": "That's always a great thing.", "session_id": 20582, "sequence_id": 257, "annotations": []}
{"role": "volunteer", "content": "Mm", "session_id": 20582, "sequence_id": 258, "annotations": []}
{"role": "volunteer", "content": "Did you have another one?", "session_id": 20582, "sequence_id": 259, "annotations": []}
{"role": "student", "content": "Yeah. I'll do it in like the middle.", "session_id": 20582, "sequence_id": 260, "annotations": []}
{"role": "volunteer", "content": "OK.", "session_id": 20582, "sequence_id": 261, "annotations": []}
{"role": "student", "content": "It.", "session_id": 20582, "sequence_id": 262, "annotations": []}
{"role": "student", "content": "What could you write one?", "session_id": 20582, "sequence_id": 263, "annotations": []}
{"role": "student", "content": "And I could solve that one.", "session_id": 20582, "sequence_id": 264, "annotations": []}
{"role": "volunteer", "content": "Uh, sure.", "session_id": 20582, "sequence_id": 265, "annotations": []}
{"role": "volunteer", "content": "I'll put it above where yours was.", "session_id": 20582, "sequence_id": 266, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 20582, "sequence_id": 267, "annotations": []}
{"role": "volunteer", "content": "Oops", "session_id": 20582, "sequence_id": 268, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 20582, "sequence_id": 269, "annotations": []}
{"role": "volunteer", "content": "Do you see it?", "session_id": 20582, "sequence_id": 270, "annotations": []}
{"role": "volunteer", "content": "Hm", "session_id": 20582, "sequence_id": 271, "annotations": []}
{"role": "volunteer", "content": "Hm", "session_id": 20582, "sequence_id": 272, "annotations": []}
{"role": "student", "content": "3 times.", "session_id": 20582, "sequence_id": 273, "annotations": []}
{"role": "student", "content": "6 and", "session_id": 20582, "sequence_id": 274, "annotations": []}
{"role": "student", "content": "18.", "session_id": 20582, "sequence_id": 275, "annotations": []}
{"role": "volunteer", "content": "Right.", "session_id": 20582, "sequence_id": 276, "annotations": []}
{"role": "student", "content": "6 times 8 is", "session_id": 20582, "sequence_id": 277, "annotations": []}
{"role": "student", "content": "OK", "session_id": 20582, "sequence_id": 278, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 20582, "sequence_id": 279, "annotations": []}
{"role": "volunteer", "content": "Hm", "session_id": 20582, "sequence_id": 280, "annotations": []}
{"role": "student", "content": "40", "session_id": 20582, "sequence_id": 281, "annotations": []}
{"role": "volunteer", "content": "Not quite.", "session_id": 20582, "sequence_id": 282, "annotations": []}
{"role": "volunteer", "content": "Hm", "session_id": 20582, "sequence_id": 283, "annotations": []}
{"role": "student", "content": "I don't know.", "session_id": 20582, "sequence_id": 284, "annotations": []}
{"role": "volunteer", "content": "Let's see.", "session_id": 20582, "sequence_id": 285, "annotations": []}
{"role": "volunteer", "content": "What is 6 times 2.", "session_id": 20582, "sequence_id": 286, "annotations": []}
{"role": "student", "content": "16", "session_id": 20582, "sequence_id": 287, "annotations": []}
{"role": "volunteer", "content": "All right.", "session_id": 20582, "sequence_id": 288, "annotations": []}
{"role": "volunteer", "content": "What is 6 times 1.", "session_id": 20582, "sequence_id": 289, "annotations": []}
{"role": "student", "content": "6", "session_id": 20582, "sequence_id": 290, "annotations": []}
{"role": "volunteer", "content": "That's 6.", "session_id": 20582, "sequence_id": 291, "annotations": []}
{"role": "volunteer", "content": "So what is 6 x 2.", "session_id": 20582, "sequence_id": 292, "annotations": []}
{"role": "student", "content": "16.", "session_id": 20582, "sequence_id": 293, "annotations": []}
{"role": "volunteer", "content": "No.", "session_id": 20582, "sequence_id": 294, "annotations": []}
{"role": "volunteer", "content": "Well.", "session_id": 20582, "sequence_id": 295, "annotations": []}
{"role": "student", "content": "Mm.", "session_id": 20582, "sequence_id": 296, "annotations": []}
{"role": "student", "content": "Oh,", "session_id": 20582, "sequence_id": 297, "annotations": []}
{"role": "student", "content": "I got confused.", "session_id": 20582, "sequence_id": 298, "annotations": []}
{"role": "volunteer", "content": "What is 6 x 3.", "session_id": 20582, "sequence_id": 299, "annotations": []}
{"role": "volunteer", "content": "It's one more 6.", "session_id": 20582, "sequence_id": 300, "annotations": []}
{"role": "student", "content": "Hm", "session_id": 20582, "sequence_id": 301, "annotations": []}
{"role": "student", "content": "18", "session_id": 20582, "sequence_id": 302, "annotations": []}
{"role": "volunteer", "content": "18, right?", "session_id": 20582, "sequence_id": 303, "annotations": []}
{"role": "volunteer", "content": "What is 6 x 4?", "session_id": 20582, "sequence_id": 304, "annotations": []}
{"role": "student", "content": "24", "session_id": 20582, "sequence_id": 305, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 20582, "sequence_id": 306, "annotations": []}
{"role": "volunteer", "content": "6 times 5.", "session_id": 20582, "sequence_id": 307, "annotations": []}
{"role": "student", "content": "30", "session_id": 20582, "sequence_id": 308, "annotations": []}
{"role": "volunteer", "content": "It is.", "session_id": 20582, "sequence_id": 309, "annotations": []}
{"role": "volunteer", "content": "With a 6 x 6.", "session_id": 20582, "sequence_id": 310, "annotations": []}
{"role": "student", "content": "26", "session_id": 20582, "sequence_id": 311, "annotations": []}
{"role": "volunteer", "content": "36.", "session_id": 20582, "sequence_id": 312, "annotations": []}
{"role": "volunteer", "content": "What is 6 x 7?", "session_id": 20582, "sequence_id": 313, "annotations": []}
{"role": "student", "content": "42?", "session_id": 20582, "sequence_id": 314, "annotations": []}
{"role": "volunteer", "content": "Oh, and now 6 times 8, what is 6 x 8?", "session_id": 20582, "sequence_id": 315, "annotations": []}
{"role": "student", "content": "48.", "session_id": 20582, "sequence_id": 316, "annotations": []}
{"role": "volunteer", "content": "Oh", "session_id": 20582, "sequence_id": 317, "annotations": []}
{"role": "volunteer", "content": "That's what we want, right?", "session_id": 20582, "sequence_id": 318, "annotations": []}
{"role": "student", "content": "Yeah.", "session_id": 20582, "sequence_id": 319, "annotations": []}
{"role": "volunteer", "content": "Mm", "session_id": 20582, "sequence_id": 320, "annotations": []}
{"role": "student", "content": "Mm", "session_id": 20582, "sequence_id": 321, "annotations": []}
{"role": "volunteer", "content": "Hm", "session_id": 20582, "sequence_id": 322, "annotations": []}
{"role": "volunteer", "content": "All right, so what's uh the answer?", "session_id": 20582, "sequence_id": 323, "annotations": []}
{"role": "student", "content": "48 plus 11 is 49.", "session_id": 20582, "sequence_id": 324, "annotations": []}
{"role": "volunteer", "content": "Right.", "session_id": 20582, "sequence_id": 325, "annotations": []}
{"role": "student", "content": "So 40098 is the answer.", "session_id": 20582, "sequence_id": 326, "annotations": []}
{"role": "volunteer", "content": "Yes", "session_id": 20582, "sequence_id": 327, "annotations": []}
{"role": "student", "content": "Let's do another one.", "session_id": 20582, "sequence_id": 328, "annotations": []}
{"role": "student", "content": "Oh.", "session_id": 20582, "sequence_id": 329, "annotations": []}
{"role": "student", "content": "I.", "session_id": 20582, "sequence_id": 330, "annotations": []}
{"role": "volunteer", "content": "Are you writing it?", "session_id": 20582, "sequence_id": 331, "annotations": []}
{"role": "student", "content": "Yeah.", "session_id": 20582, "sequence_id": 332, "annotations": []}
{"role": "volunteer", "content": "I don't see it.", "session_id": 20582, "sequence_id": 333, "annotations": []}
{"role": "student", "content": "Oh, I'm not writing it.", "session_id": 20582, "sequence_id": 334, "annotations": []}
{"role": "volunteer", "content": "Oh, OK.", "session_id": 20582, "sequence_id": 335, "annotations": []}
{"role": "student", "content": "No.", "session_id": 20582, "sequence_id": 336, "annotations": []}
{"role": "volunteer", "content": "Alright, 15, right?", "session_id": 20582, "sequence_id": 337, "annotations": []}
{"role": "student", "content": "Yeah, after this one,", "session_id": 20582, "sequence_id": 338, "annotations": []}
{"role": "student", "content": "Can't we be done cause someone's in my house right now.", "session_id": 20582, "sequence_id": 339, "annotations": []}
{"role": "volunteer", "content": "Oh, OK, sure.", "session_id": 20582, "sequence_id": 340, "annotations": []}
{"role": "student", "content": "After this one.", "session_id": 20582, "sequence_id": 341, "annotations": []}
{"role": "volunteer", "content": "Of course.", "session_id": 20582, "sequence_id": 342, "annotations": []}
{"role": "volunteer", "content": "15 times mm.", "session_id": 20582, "sequence_id": 343, "annotations": []}
{"role": "volunteer", "content": "Oh", "session_id": 20582, "sequence_id": 344, "annotations": []}
{"role": "volunteer", "content": "15 times.", "session_id": 20582, "sequence_id": 345, "annotations": []}
{"role": "volunteer", "content": "2", "session_id": 20582, "sequence_id": 346, "annotations": []}
{"role": "student", "content": "2.", "session_id": 20582, "sequence_id": 347, "annotations": []}
{"role": "student", "content": "5 times 2 is 10.", "session_id": 20582, "sequence_id": 348, "annotations": []}
{"role": "student", "content": "2 times 1 is", "session_id": 20582, "sequence_id": 349, "annotations": []}
{"role": "student", "content": "To", "session_id": 20582, "sequence_id": 350, "annotations": []}
{"role": "student", "content": "2 + 1 is 3.", "session_id": 20582, "sequence_id": 351, "annotations": []}
{"role": "volunteer", "content": "There you go.", "session_id": 20582, "sequence_id": 352, "annotations": []}
{"role": "student", "content": "Yeah.", "session_id": 20582, "sequence_id": 353, "annotations": []}
{"role": "volunteer", "content": "Very good.", "session_id": 20582, "sequence_id": 354, "annotations": []}
{"role": "student", "content": "Bye.", "session_id": 20582, "sequence_id": 355, "annotations": []}
{"role": "volunteer", "content": "All right, you did great.", "session_id": 20582, "sequence_id": 356, "annotations": []}
{"role": "student", "content": "Thanks.", "session_id": 20582, "sequence_id": 357, "annotations": []}
{"role": "volunteer", "content": "Have a great day.", "session_id": 20582, "sequence_id": 358, "annotations": []}
{"role": "student", "content": "You too.", "session_id": 20582, "sequence_id": 359, "annotations": []}
{"role": "volunteer", "content": "Bye.", "session_id": 20582, "sequence_id": 360, "annotations": []}
{"role": "student", "content": "Hello!", "session_id": 20934, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "hi", "session_id": 20934, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "how are you?", "session_id": 20934, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "im good", "session_id": 20934, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "how are you?", "session_id": 20934, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "im good", "session_id": 20934, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "what question do you have?", "session_id": 20934, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "i thought i clicked homework assignment", "session_id": 20934, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "thats my fault", "session_id": 20934, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "can you put it on the board?", "session_id": 20934, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "yes", "session_id": 20934, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "i am on #7", "session_id": 20934, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "I completed the first page yesterday with another tutor", "session_id": 20934, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 20934, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "can you try number 7?", "session_id": 20934, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "i started it but didnt know how to finish it", "session_id": 20934, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "thats as far as i got but I didnt know how to finish it", "session_id": 20934, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "thats a great start", "session_id": 20934, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "can you try to factor a^2 +9a-22?", "session_id": 20934, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "ok", "session_id": 20934, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "great job!", "session_id": 20934, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "now can you try to cancel like terms", "session_id": 20934, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "ok", "session_id": 20934, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "do you understand what im asking?", "session_id": 20934, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "kind of but i think i got confused", "session_id": 20934, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "for example, since there's an a in the numerator and an a^3 in the denominator, you can cancel the a in the numerator and make the a^3 in the denominator a^2", "session_id": 20934, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "just like that", "session_id": 20934, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "ohh", "session_id": 20934, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "so can you do that for some other terms?", "session_id": 20934, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "a +11", "session_id": 20934, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "and what else?", "session_id": 20934, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "b^2", "session_id": 20934, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "and what does the denominator become?", "session_id": 20934, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "a^2b^2(a-2)?", "session_id": 20934, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 20934, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "and thats your answer", "session_id": 20934, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "oh ok", "session_id": 20934, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "so lets move on to #8?", "session_id": 20934, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "im very confused on #8", "session_id": 20934, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "okay, so lets break it down", "session_id": 20934, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "ok", "session_id": 20934, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "can you try solving it from here?", "session_id": 20934, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "i think so", "session_id": 20934, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "actually im not sure", "session_id": 20934, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "first start by factoring all of them", "session_id": 20934, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "ok", "session_id": 20934, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "i can do that", "session_id": 20934, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "omg", "session_id": 20934, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "so what do you do after this?", "session_id": 20934, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "i cant see the whole thing", "session_id": 20934, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "better?", "session_id": 20934, "sequence_id": 50, "annotations": []}
{"role": "student", "content": "yes", "session_id": 20934, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "so what the next step?", "session_id": 20934, "sequence_id": 52, "annotations": []}
{"role": "student", "content": "umm i dont know", "session_id": 20934, "sequence_id": 53, "annotations": []}
{"role": "student", "content": "ive never dealt with one of these questions before", "session_id": 20934, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 20934, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "so now we move the 5(x-2)(x+2) to the top", "session_id": 20934, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "because the denominator of the denominator is the numerator", "session_id": 20934, "sequence_id": 57, "annotations": []}
{"role": "student", "content": "ohhh", "session_id": 20934, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "and what is the last step?", "session_id": 20934, "sequence_id": 59, "annotations": []}
{"role": "student", "content": "get rid of similar terms", "session_id": 20934, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 20934, "sequence_id": 61, "annotations": []}
{"role": "student", "content": "are x+2^2 and x-2^2 the same/?", "session_id": 20934, "sequence_id": 62, "annotations": []}
{"role": "student", "content": "/?*", "session_id": 20934, "sequence_id": 63, "annotations": []}
{"role": "student", "content": "??*", "session_id": 20934, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "no", "session_id": 20934, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "can you expand (x+2)^2 and (x-2)^2?", "session_id": 20934, "sequence_id": 66, "annotations": []}
{"role": "student", "content": "yes", "session_id": 20934, "sequence_id": 67, "annotations": []}
{"role": "student", "content": "do i foil them?", "session_id": 20934, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 20934, "sequence_id": 69, "annotations": []}
{"role": "student", "content": "i see", "session_id": 20934, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "you got (x+2)^2 correct, but you made a minor error for (x-2)^3", "session_id": 20934, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "(x-2)^2", "session_id": 20934, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "whats -2 * -2?", "session_id": 20934, "sequence_id": 73, "annotations": []}
{"role": "student", "content": "4", "session_id": 20934, "sequence_id": 74, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 20934, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "so x^2 + 4x + 4 and x^2 - 4x +4 are different", "session_id": 20934, "sequence_id": 76, "annotations": []}
{"role": "student", "content": "yes", "session_id": 20934, "sequence_id": 77, "annotations": []}
{"role": "student", "content": "I'm so sorry I have to go, thank you so much for your help!!", "session_id": 20934, "sequence_id": 78, "annotations": []}
{"role": "student", "content": "hello!", "session_id": 21003, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "Hello!", "session_id": 21003, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "What do you need help with today?", "session_id": 21003, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "I have an assignment about simplifying rational expressions for my algebra 2 / trigonometry classes and I dont understand this topic at all", "session_id": 21003, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "there's 2 pages but i've completed #1", "session_id": 21003, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "question #1", "session_id": 21003, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "Okay! I can help you work through the others!", "session_id": 21003, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "Do you have a specific question you want to work through first?", "session_id": 21003, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "#2", "session_id": 21003, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "I tried to factor out the gcf but i couldnt figure it out", "session_id": 21003, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "Okay, so first I recommend looking at the numbers first-- is there a number that goes into both 15 and 27?", "session_id": 21003, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "3", "session_id": 21003, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "yes!", "session_id": 21003, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "So basically, we can divide both the top and bottom by 3 to simplify the number part (since 3/3 =1)", "session_id": 21003, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "do i remove the 3 from the denominator too", "session_id": 21003, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "now we can look at the letters-- specifically the exponents", "session_id": 21003, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "Yes", "session_id": 21003, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "ok", "session_id": 21003, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "We don't want to remove the ratio; -15/27 , but if we divide both the top and the bottom by 3 the ratio will stay the same", "session_id": 21003, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "do i remove the -3 too?", "session_id": 21003, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "Wait! I didn't see that!", "session_id": 21003, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "I'm sorry I messed up", "session_id": 21003, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "its ok lol", "session_id": 21003, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "We do need to find the common term for the denominator specifically", "session_id": 21003, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "which, for the numbers, is still three", "session_id": 21003, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "got it", "session_id": 21003, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "okay, for the \"a\" terms, we want to find the highest exponent value that fits into both the green side and the blue side", "session_id": 21003, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "2", "session_id": 21003, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "a^5 and a^2 yes", "session_id": 21003, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "since a^2 is the smallest that is what we can factor out", "session_id": 21003, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "what is the smallest exponent for b and c?", "session_id": 21003, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "1", "session_id": 21003, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "Yes! The b^1 is the smallest. the smallest exponent for c will be c^2", "session_id": 21003, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "oh", "session_id": 21003, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "i forgot the 2", "session_id": 21003, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "It's okay! Now we are going to \"factor\" out the denominator", "session_id": 21003, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "We need to take into account all of the terms left out of 3a^2 b c^2", "session_id": 21003, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "so this is where we divide everything by the gcf", "session_id": 21003, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "ok", "session_id": 21003, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "in the blue section, we divide 27 by 3, a^3 by a^2 and c^2 by c^2", "session_id": 21003, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "yes", "session_id": 21003, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "Did you solve that part?", "session_id": 21003, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "so it becomes 9a^3-bc?", "session_id": 21003, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "YES!", "session_id": 21003, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "now we have the denominator", "session_id": 21003, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "and top is -5a^5bc^2?", "session_id": 21003, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "Also yes!", "session_id": 21003, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "Because you divide by the gcf!", "session_id": 21003, "sequence_id": 47, "annotations": []}
{"role": "student", "content": "i think i did it!", "session_id": 21003, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "after that you subtract the exponents", "session_id": 21003, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "yes!", "session_id": 21003, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "I think you did do it!", "session_id": 21003, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "-5a^2c/9", "session_id": 21003, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "Wait! Actually you can't subtract the exponents here. There is this weird rule", "session_id": 21003, "sequence_id": 53, "annotations": []}
{"role": "student", "content": "oh", "session_id": 21003, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "Any time there is addition or subtraction in the numerator or demominator, you cannot reduce using the gcf", "session_id": 21003, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "if the denominator didn't have a subtraction sign, you would be completely right!", "session_id": 21003, "sequence_id": 56, "annotations": []}
{"role": "student", "content": "ohh", "session_id": 21003, "sequence_id": 57, "annotations": []}
{"role": "student", "content": "so is this the answer or is there more?", "session_id": 21003, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "I think what i wrote in black would be the answer to 2", "session_id": 21003, "sequence_id": 59, "annotations": []}
{"role": "student", "content": "Chloe!!", "session_id": 21003, "sequence_id": 60, "annotations": [{"pii_type": "PERSON", "surrogate": "Chloe", "start": 0, "end": 5}]}
{"role": "student", "content": "yay*", "session_id": 21003, "sequence_id": 61, "annotations": []}
{"role": "student", "content": "i got that", "session_id": 21003, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "Do you want to both try 3 now?", "session_id": 21003, "sequence_id": 63, "annotations": []}
{"role": "student", "content": "yes", "session_id": 21003, "sequence_id": 64, "annotations": []}
{"role": "student", "content": "i think i got the denominator", "session_id": 21003, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "Yay! Do you want to tell me what it is?", "session_id": 21003, "sequence_id": 66, "annotations": []}
{"role": "student", "content": "(x-9)(x-9)", "session_id": 21003, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "Really close! I'm going to teach you my favorite trick", "session_id": 21003, "sequence_id": 68, "annotations": []}
{"role": "student", "content": "ok!", "session_id": 21003, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "When ever you see two squared terms being subtracted (x^2 and 81) the formula I'm going to write applies", "session_id": 21003, "sequence_id": 70, "annotations": []}
{"role": "student", "content": "ok", "session_id": 21003, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "It is equal to the unsquared squared terms subtracted together multiplied them added together", "session_id": 21003, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "Does that make any sense?", "session_id": 21003, "sequence_id": 73, "annotations": []}
{"role": "student", "content": "yes", "session_id": 21003, "sequence_id": 74, "annotations": []}
{"role": "student", "content": "i forgot they cannot both be negative", "session_id": 21003, "sequence_id": 75, "annotations": []}
{"role": "student", "content": "because its a negative number", "session_id": 21003, "sequence_id": 76, "annotations": []}
{"role": "student", "content": "i just realizedx", "session_id": 21003, "sequence_id": 77, "annotations": []}
{"role": "student", "content": "realized*", "session_id": 21003, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "That is actually a really common mistake that is easy to make-- if you ever have time to double check on a test, I recommend that you distribute the factored form out and try to turn it back into the original unfactored form", "session_id": 21003, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "Have you been taught how to factor the top section?", "session_id": 21003, "sequence_id": 80, "annotations": []}
{"role": "student", "content": "probably but I just didnt understand, i watched video notes but didnt fully understand", "session_id": 21003, "sequence_id": 81, "annotations": []}
{"role": "volunteer", "content": "I can show you how I do it! But I do it differently than most people", "session_id": 21003, "sequence_id": 82, "annotations": []}
{"role": "volunteer", "content": "first, I draw an x", "session_id": 21003, "sequence_id": 83, "annotations": []}
{"role": "student", "content": "ok", "session_id": 21003, "sequence_id": 84, "annotations": []}
{"role": "volunteer", "content": "each corner of the x is a place for a number", "session_id": 21003, "sequence_id": 85, "annotations": []}
{"role": "student", "content": "ok", "session_id": 21003, "sequence_id": 86, "annotations": []}
{"role": "volunteer", "content": "the left side is for the x^2 and the right will be for the 36", "session_id": 21003, "sequence_id": 87, "annotations": []}
{"role": "volunteer", "content": "we basically want the numbers to vertically multiply to the coefficient", "session_id": 21003, "sequence_id": 88, "annotations": []}
{"role": "volunteer", "content": "x^2 will have a coefficient of 1", "session_id": 21003, "sequence_id": 89, "annotations": []}
{"role": "student", "content": "ok", "session_id": 21003, "sequence_id": 90, "annotations": []}
{"role": "volunteer", "content": "then, this is where it gets a little complicated, you want to make sure each diagnol number adds up to the middle number", "session_id": 21003, "sequence_id": 91, "annotations": []}
{"role": "volunteer", "content": "so lets say we try 9 time 4 = 36", "session_id": 21003, "sequence_id": 92, "annotations": []}
{"role": "student", "content": "mhm", "session_id": 21003, "sequence_id": 93, "annotations": []}
{"role": "volunteer", "content": "we will multiply 1 times 4  and 9 times 1 together and then add the two productus", "session_id": 21003, "sequence_id": 94, "annotations": []}
{"role": "volunteer", "content": "so 4+9=13", "session_id": 21003, "sequence_id": 95, "annotations": []}
{"role": "volunteer", "content": "This technically isn't the right answer though since the middle coeff is -13", "session_id": 21003, "sequence_id": 96, "annotations": []}
{"role": "volunteer", "content": "To fix this we can make the left 9 and left 4 negative : -9 and -4 multiplied together still equal a positive 36", "session_id": 21003, "sequence_id": 97, "annotations": []}
{"role": "student", "content": "ok", "session_id": 21003, "sequence_id": 98, "annotations": []}
{"role": "volunteer", "content": "So if we are happy with this little x, we can look horizontally and find the factored pairs", "session_id": 21003, "sequence_id": 99, "annotations": []}
{"role": "volunteer", "content": "If we distribute those together, it should be the same as the numerator", "session_id": 21003, "sequence_id": 100, "annotations": []}
{"role": "volunteer", "content": "Did that make any sense?", "session_id": 21003, "sequence_id": 101, "annotations": []}
{"role": "student", "content": "so it become x-4/x+9?", "session_id": 21003, "sequence_id": 102, "annotations": []}
{"role": "volunteer", "content": "Yes! After simplifying the (x-9)!", "session_id": 21003, "sequence_id": 103, "annotations": []}
{"role": "volunteer", "content": "But did that make sense? It might be hard to follow just drawn out numbers", "session_id": 21003, "sequence_id": 104, "annotations": []}
{"role": "student", "content": "yes", "session_id": 21003, "sequence_id": 105, "annotations": []}
{"role": "student", "content": "i actually understand", "session_id": 21003, "sequence_id": 106, "annotations": []}
{"role": "volunteer", "content": "Do you want to try 4 now? It looks kind of similar", "session_id": 21003, "sequence_id": 107, "annotations": []}
{"role": "student", "content": "yes", "session_id": 21003, "sequence_id": 108, "annotations": []}
{"role": "volunteer", "content": "Do you want me to walk you through the denominator again?", "session_id": 21003, "sequence_id": 109, "annotations": []}
{"role": "student", "content": "yes please", "session_id": 21003, "sequence_id": 110, "annotations": []}
{"role": "volunteer", "content": "what do you think should go on the left green spots of the x?", "session_id": 21003, "sequence_id": 111, "annotations": []}
{"role": "student", "content": "2 and 1?", "session_id": 21003, "sequence_id": 112, "annotations": []}
{"role": "volunteer", "content": "Yes!", "session_id": 21003, "sequence_id": 113, "annotations": []}
{"role": "volunteer", "content": "Now for the left side, we might have to guess a few times", "session_id": 21003, "sequence_id": 114, "annotations": []}
{"role": "volunteer", "content": "Do you have two numbers that multiple to -20 that you want to try?", "session_id": 21003, "sequence_id": 115, "annotations": []}
{"role": "student", "content": "im not sure", "session_id": 21003, "sequence_id": 116, "annotations": []}
{"role": "volunteer", "content": "Well... 2 times 10=20", "session_id": 21003, "sequence_id": 117, "annotations": []}
{"role": "volunteer", "content": "4 times 5 =20", "session_id": 21003, "sequence_id": 118, "annotations": []}
{"role": "student", "content": "i got both of those but neither =3", "session_id": 21003, "sequence_id": 119, "annotations": []}
{"role": "volunteer", "content": "We can try 4 times 5", "session_id": 21003, "sequence_id": 120, "annotations": []}
{"role": "volunteer", "content": "Sometimes you have to work on the placement", "session_id": 21003, "sequence_id": 121, "annotations": []}
{"role": "student", "content": "oh", "session_id": 21003, "sequence_id": 122, "annotations": []}
{"role": "volunteer", "content": "4 on the top doesn't work, but we can try 5", "session_id": 21003, "sequence_id": 123, "annotations": []}
{"role": "student", "content": "5*5 works", "session_id": 21003, "sequence_id": 124, "annotations": []}
{"role": "student", "content": "4*5", "session_id": 21003, "sequence_id": 125, "annotations": []}
{"role": "volunteer", "content": "That does work!", "session_id": 21003, "sequence_id": 126, "annotations": []}
{"role": "volunteer", "content": "We need to make 5 negative too", "session_id": 21003, "sequence_id": 127, "annotations": []}
{"role": "student", "content": "yes", "session_id": 21003, "sequence_id": 128, "annotations": []}
{"role": "volunteer", "content": "so the pair would be (2x-5)(x-4)", "session_id": 21003, "sequence_id": 129, "annotations": []}
{"role": "volunteer", "content": "nvm- it is x+4", "session_id": 21003, "sequence_id": 130, "annotations": []}
{"role": "volunteer", "content": "(2x-5)(x+4)", "session_id": 21003, "sequence_id": 131, "annotations": []}
{"role": "student", "content": "yes", "session_id": 21003, "sequence_id": 132, "annotations": []}
{"role": "volunteer", "content": "Did that make sense?", "session_id": 21003, "sequence_id": 133, "annotations": []}
{"role": "student", "content": "yes", "session_id": 21003, "sequence_id": 134, "annotations": []}
{"role": "volunteer", "content": "Do you have an idea about what the numerator factors to?", "session_id": 21003, "sequence_id": 135, "annotations": []}
{"role": "student", "content": "7(2x-5)", "session_id": 21003, "sequence_id": 136, "annotations": []}
{"role": "volunteer", "content": "Yes!", "session_id": 21003, "sequence_id": 137, "annotations": []}
{"role": "volunteer", "content": "now you can simplify the (2x-5)s", "session_id": 21003, "sequence_id": 138, "annotations": []}
{"role": "student", "content": "7/x+4?", "session_id": 21003, "sequence_id": 139, "annotations": []}
{"role": "volunteer", "content": "yes!", "session_id": 21003, "sequence_id": 140, "annotations": []}
{"role": "student", "content": "yay!", "session_id": 21003, "sequence_id": 141, "annotations": []}
{"role": "volunteer", "content": "Do you want to try 5? We need to use a slightly different method", "session_id": 21003, "sequence_id": 142, "annotations": []}
{"role": "student", "content": "yes", "session_id": 21003, "sequence_id": 143, "annotations": []}
{"role": "volunteer", "content": "Do you have an idea about how to approach this problem?", "session_id": 21003, "sequence_id": 144, "annotations": []}
{"role": "student", "content": "i might've got it", "session_id": 21003, "sequence_id": 145, "annotations": []}
{"role": "volunteer", "content": "Okay!", "session_id": 21003, "sequence_id": 146, "annotations": []}
{"role": "student", "content": "x^2y/z", "session_id": 21003, "sequence_id": 147, "annotations": []}
{"role": "student", "content": "i wasnt sure what to do about the exponents", "session_id": 21003, "sequence_id": 148, "annotations": []}
{"role": "volunteer", "content": "Yes the numbers cancel! We can simplify the exponents further though", "session_id": 21003, "sequence_id": 149, "annotations": []}
{"role": "student", "content": "ok!", "session_id": 21003, "sequence_id": 150, "annotations": []}
{"role": "student", "content": "ohh", "session_id": 21003, "sequence_id": 151, "annotations": []}
{"role": "student", "content": "thats y not x", "session_id": 21003, "sequence_id": 152, "annotations": []}
{"role": "student", "content": "i see", "session_id": 21003, "sequence_id": 153, "annotations": []}
{"role": "volunteer", "content": "Since it is just simple multiplication, we can just combine the terms like that", "session_id": 21003, "sequence_id": 154, "annotations": []}
{"role": "volunteer", "content": "Now we can simplify the exponents by looking for the gcf-- the smallest exponent that can fit into both", "session_id": 21003, "sequence_id": 155, "annotations": []}
{"role": "student", "content": "okk", "session_id": 21003, "sequence_id": 156, "annotations": []}
{"role": "volunteer", "content": "Do you want to give it a shot?", "session_id": 21003, "sequence_id": 157, "annotations": []}
{"role": "student", "content": "im not sure what to do", "session_id": 21003, "sequence_id": 158, "annotations": []}
{"role": "volunteer", "content": "Oh sorry!", "session_id": 21003, "sequence_id": 159, "annotations": []}
{"role": "volunteer", "content": "Well there are two x terms x^2 and x^3", "session_id": 21003, "sequence_id": 160, "annotations": []}
{"role": "volunteer", "content": "Since x^2 fits into both x^2 and x^3 we can divide both terms by it (when we divide exponents we subtract the numbers", "session_id": 21003, "sequence_id": 161, "annotations": []}
{"role": "student", "content": "ohh", "session_id": 21003, "sequence_id": 162, "annotations": []}
{"role": "student", "content": "divide by x^2y", "session_id": 21003, "sequence_id": 163, "annotations": []}
{"role": "student", "content": "maybe", "session_id": 21003, "sequence_id": 164, "annotations": []}
{"role": "volunteer", "content": "Yes!", "session_id": 21003, "sequence_id": 165, "annotations": []}
{"role": "student", "content": "so does it just become xy?", "session_id": 21003, "sequence_id": 166, "annotations": []}
{"role": "student", "content": "no 1/xy", "session_id": 21003, "sequence_id": 167, "annotations": []}
{"role": "volunteer", "content": "yes it does!", "session_id": 21003, "sequence_id": 168, "annotations": []}
{"role": "student", "content": "yayy!!", "session_id": 21003, "sequence_id": 169, "annotations": []}
{"role": "volunteer", "content": "Do you want to try 6 now?", "session_id": 21003, "sequence_id": 170, "annotations": []}
{"role": "student", "content": "yes", "session_id": 21003, "sequence_id": 171, "annotations": []}
{"role": "student", "content": "is it 1?", "session_id": 21003, "sequence_id": 172, "annotations": []}
{"role": "student", "content": "i think i did it", "session_id": 21003, "sequence_id": 173, "annotations": []}
{"role": "volunteer", "content": "So for this type of equation, you can either multiply both fractions together and then simplify the big fraction or simplify each fraction individually, multiply, and see if there is any more simplification to do", "session_id": 21003, "sequence_id": 174, "annotations": []}
{"role": "volunteer", "content": "YES YOU DID!", "session_id": 21003, "sequence_id": 175, "annotations": []}
{"role": "volunteer", "content": "I got 1 too", "session_id": 21003, "sequence_id": 176, "annotations": []}
{"role": "student", "content": "yay!", "session_id": 21003, "sequence_id": 177, "annotations": []}
{"role": "volunteer", "content": "Do you want to do page 2 too?", "session_id": 21003, "sequence_id": 178, "annotations": []}
{"role": "student", "content": "yes", "session_id": 21003, "sequence_id": 179, "annotations": []}
{"role": "volunteer", "content": "First thing you want to do is rewrite the division sign into multiplication", "session_id": 21003, "sequence_id": 180, "annotations": []}
{"role": "student", "content": "ok", "session_id": 21003, "sequence_id": 181, "annotations": []}
{"role": "volunteer", "content": "Any time you divide by a fraction, you basically need to multiply by its reciprical-- swap the numerator and denominator and then multiply", "session_id": 21003, "sequence_id": 182, "annotations": []}
{"role": "student", "content": "ok", "session_id": 21003, "sequence_id": 183, "annotations": []}
{"role": "volunteer", "content": "Factoring is like a puzzle-- you have to be strategic each time", "session_id": 21003, "sequence_id": 184, "annotations": []}
{"role": "volunteer", "content": "Do you recognize what i boxed in pink?", "session_id": 21003, "sequence_id": 185, "annotations": []}
{"role": "student", "content": "yes!", "session_id": 21003, "sequence_id": 186, "annotations": []}
{"role": "student", "content": "im not sure what to do", "session_id": 21003, "sequence_id": 187, "annotations": []}
{"role": "student", "content": "i factored it out but i wasnt sure what to do next", "session_id": 21003, "sequence_id": 188, "annotations": []}
{"role": "volunteer", "content": "I can try walking you through the problem", "session_id": 21003, "sequence_id": 189, "annotations": []}
{"role": "student", "content": "ok", "session_id": 21003, "sequence_id": 190, "annotations": []}
{"role": "volunteer", "content": "Is there any way to show me what you have done right now?", "session_id": 21003, "sequence_id": 191, "annotations": []}
{"role": "student", "content": "i have (a-11)(a+11)", "session_id": 21003, "sequence_id": 192, "annotations": []}
{"role": "student", "content": "/a^2b^4", "session_id": 21003, "sequence_id": 193, "annotations": []}
{"role": "student", "content": "a^3*", "session_id": 21003, "sequence_id": 194, "annotations": []}
{"role": "student", "content": "i have to go eat dinner now! is there any way i would be able to come back later or would i have to have a different tutor", "session_id": 21003, "sequence_id": 195, "annotations": []}
{"role": "volunteer", "content": "You might get a different tutor, but I will try to select you first", "session_id": 21003, "sequence_id": 196, "annotations": []}
{"role": "student", "content": "ok, thank you so much for your help!", "session_id": 21003, "sequence_id": 197, "annotations": []}
{"role": "volunteer", "content": "Also when multiplying fractions you can also simplify diagonally", "session_id": 21003, "sequence_id": 198, "annotations": []}
{"role": "student", "content": "ok", "session_id": 21003, "sequence_id": 199, "annotations": []}
{"role": "student", "content": "thank you so much, have a good night if i dont see you again!", "session_id": 21003, "sequence_id": 200, "annotations": []}
{"role": "volunteer", "content": "Thank you!", "session_id": 21003, "sequence_id": 201, "annotations": []}
{"role": "volunteer", "content": "You are doing great!", "session_id": 21003, "sequence_id": 202, "annotations": []}
{"role": "volunteer", "content": "I promise practice will make these sorts of problems easier with time", "session_id": 21003, "sequence_id": 203, "annotations": []}
{"role": "student", "content": "thank you so much! bye!", "session_id": 21003, "sequence_id": 204, "annotations": []}
{"role": "student", "content": "heyy", "session_id": 21051, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "Hi Alex, how can I help?", "session_id": 21051, "sequence_id": 1, "annotations": [{"pii_type": "PERSON", "surrogate": "Alex", "start": 3, "end": 7}]}
{"role": "volunteer", "content": "hiii!!", "session_id": 21051, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "school is ab to start and im just trying to get myself back into math again", "session_id": 21051, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "im not sure what i want to deepen my understanding in, so is it okay if you choose a topic", "session_id": 21051, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "aw okie i applaud you for staying on top of it!", "session_id": 21051, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "are you about to start 8th grade?", "session_id": 21051, "sequence_id": 6, "annotations": [{"pii_type": "GRADE_LEVEL", "surrogate": "8th grade", "start": 23, "end": 32}]}
{"role": "student", "content": "aw thankss", "session_id": 21051, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "thhh", "session_id": 21051, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "7th", "session_id": 21051, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "im Alex", "session_id": 21051, "sequence_id": 10, "annotations": [{"pii_type": "PERSON", "surrogate": "Alex", "start": 3, "end": 7}]}
{"role": "volunteer", "content": "Alex so would you like to go over some stuff of 7th grade?", "session_id": 21051, "sequence_id": 11, "annotations": [{"pii_type": "PERSON", "surrogate": "Alex", "start": 0, "end": 4}, {"pii_type": "GRADE_LEVEL", "surrogate": "7th grade", "start": 48, "end": 57}]}
{"role": "student", "content": "mhm", "session_id": 21051, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "Alex", "session_id": 21051, "sequence_id": 13, "annotations": [{"pii_type": "PERSON", "surrogate": "Alex", "start": 0, "end": 4}]}
{"role": "volunteer", "content": "allow me a minute to put together things", "session_id": 21051, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "take your time", "session_id": 21051, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "can you see what i wrote on the board", "session_id": 21051, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "no", "session_id": 21051, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "o what o no", "session_id": 21051, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "o no", "session_id": 21051, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "not at all? i wrote some problems for us to go over", "session_id": 21051, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "oh now i see it", "session_id": 21051, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "Alex", "session_id": 21051, "sequence_id": 22, "annotations": [{"pii_type": "PERSON", "surrogate": "Alex", "start": 0, "end": 4}]}
{"role": "student", "content": "forgive me my wifi no bueno", "session_id": 21051, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "no worries!!", "session_id": 21051, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "do you want to try solving them", "session_id": 21051, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "no", "session_id": 21051, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "o no i forgot this", "session_id": 21051, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "i'll jump in to help when you're stuck", "session_id": 21051, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "im stuck", "session_id": 21051, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "i do not like these question", "session_id": 21051, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "can you try 1/4?", "session_id": 21051, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "do i find an equivalent fraction or?", "session_id": 21051, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "can you give me the value of 1/4 in decimals please", "session_id": 21051, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "oki", "session_id": 21051, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "good job", "session_id": 21051, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "what about %?", "session_id": 21051, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "good job!", "session_id": 21051, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "see you know how to do these", "session_id": 21051, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "lol", "session_id": 21051, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "try 1/4 + 2/4", "session_id": 21051, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "oh no", "session_id": 21051, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "wait", "session_id": 21051, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "u can do it!!", "session_id": 21051, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "good job!!", "session_id": 21051, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "i get confused sometimes", "session_id": 21051, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "if i add the denominators", "session_id": 21051, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "you're doing great!", "session_id": 21051, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "good job!!", "session_id": 21051, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "yurrrr", "session_id": 21051, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "try this one", "session_id": 21051, "sequence_id": 50, "annotations": []}
{"role": "student", "content": "??", "session_id": 21051, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "i dont see", "session_id": 21051, "sequence_id": 52, "annotations": []}
{"role": "student", "content": "anyting", "session_id": 21051, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "might have to wait a bit", "session_id": 21051, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "i wrote 1/2 + 3/8", "session_id": 21051, "sequence_id": 55, "annotations": []}
{"role": "student", "content": "ohh", "session_id": 21051, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "can you see now?", "session_id": 21051, "sequence_id": 57, "annotations": []}
{"role": "student", "content": "no can you see mine?", "session_id": 21051, "sequence_id": 58, "annotations": []}
{"role": "student", "content": "i wrote it and solved it", "session_id": 21051, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "i dont T^T", "session_id": 21051, "sequence_id": 60, "annotations": []}
{"role": "student", "content": "i put 7/8", "session_id": 21051, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "good job!!", "session_id": 21051, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "youre doing so much better than you think see", "session_id": 21051, "sequence_id": 63, "annotations": []}
{"role": "student", "content": "haha yes", "session_id": 21051, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "moving on to decimals, 0.3 * 0.4 = ?", "session_id": 21051, "sequence_id": 65, "annotations": []}
{"role": "student", "content": "oh no", "session_id": 21051, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "you can do it!!", "session_id": 21051, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "i believe in you Oakland", "session_id": 21051, "sequence_id": 68, "annotations": [{"pii_type": "LOCATION", "surrogate": "Oakland", "start": 17, "end": 24}]}
{"role": "student", "content": "0.12??", "session_id": 21051, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "you got it!!", "session_id": 21051, "sequence_id": 70, "annotations": []}
{"role": "student", "content": "yess", "session_id": 21051, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "0.5 * 0.6 = ?", "session_id": 21051, "sequence_id": 72, "annotations": []}
{"role": "student", "content": "0.30", "session_id": 21051, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "good job!!", "session_id": 21051, "sequence_id": 74, "annotations": []}
{"role": "volunteer", "content": "division now, 0.75 / 0.5 = ?", "session_id": 21051, "sequence_id": 75, "annotations": []}
{"role": "student", "content": "uh oh", "session_id": 21051, "sequence_id": 76, "annotations": []}
{"role": "student", "content": "oh", "session_id": 21051, "sequence_id": 77, "annotations": []}
{"role": "student", "content": "nvm", "session_id": 21051, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "u can do it", "session_id": 21051, "sequence_id": 79, "annotations": []}
{"role": "student", "content": "1.5", "session_id": 21051, "sequence_id": 80, "annotations": []}
{"role": "volunteer", "content": "good job!!", "session_id": 21051, "sequence_id": 81, "annotations": []}
{"role": "volunteer", "content": "see", "session_id": 21051, "sequence_id": 82, "annotations": []}
{"role": "volunteer", "content": "you got it!", "session_id": 21051, "sequence_id": 83, "annotations": []}
{"role": "volunteer", "content": "ok so we just did fractions, decimals and percents, you did great! let's refresh on some ratios & proprotions now", "session_id": 21051, "sequence_id": 84, "annotations": []}
{"role": "student", "content": "i was kinda guessing", "session_id": 21051, "sequence_id": 85, "annotations": []}
{"role": "student", "content": "okay", "session_id": 21051, "sequence_id": 86, "annotations": []}
{"role": "volunteer", "content": "all your guesses are correct so it gotta mean something haha", "session_id": 21051, "sequence_id": 87, "annotations": []}
{"role": "student", "content": "perhapss", "session_id": 21051, "sequence_id": 88, "annotations": []}
{"role": "volunteer", "content": "if there is any topic you'd like to spend extra time on let me know ok", "session_id": 21051, "sequence_id": 89, "annotations": []}
{"role": "student", "content": "oki", "session_id": 21051, "sequence_id": 90, "annotations": []}
{"role": "volunteer", "content": "You read 12 pages in 3 days. How many pages do you read in 5 days?", "session_id": 21051, "sequence_id": 91, "annotations": []}
{"role": "student", "content": "20", "session_id": 21051, "sequence_id": 92, "annotations": []}
{"role": "student", "content": "?", "session_id": 21051, "sequence_id": 93, "annotations": []}
{"role": "volunteer", "content": "good job!!", "session_id": 21051, "sequence_id": 94, "annotations": []}
{"role": "student", "content": "oki", "session_id": 21051, "sequence_id": 95, "annotations": []}
{"role": "volunteer", "content": "do you even need me here haha", "session_id": 21051, "sequence_id": 96, "annotations": []}
{"role": "volunteer", "content": "you're doing amazing!!", "session_id": 21051, "sequence_id": 97, "annotations": []}
{"role": "student", "content": "4 pages for every 1 dsay", "session_id": 21051, "sequence_id": 98, "annotations": []}
{"role": "student", "content": "day", "session_id": 21051, "sequence_id": 99, "annotations": []}
{"role": "student", "content": "thank uuu", "session_id": 21051, "sequence_id": 100, "annotations": []}
{"role": "volunteer", "content": "yes!! good job!", "session_id": 21051, "sequence_id": 101, "annotations": []}
{"role": "student", "content": "4:1", "session_id": 21051, "sequence_id": 102, "annotations": []}
{"role": "volunteer", "content": "yess!!", "session_id": 21051, "sequence_id": 103, "annotations": []}
{"role": "volunteer", "content": "ok now moving on to integers, what is (-5) - (-8) = ?", "session_id": 21051, "sequence_id": 104, "annotations": []}
{"role": "student", "content": "what are integers again", "session_id": 21051, "sequence_id": 105, "annotations": []}
{"role": "volunteer", "content": "-1, -2, 0, 1, 2, 3, 4, 5", "session_id": 21051, "sequence_id": 106, "annotations": []}
{"role": "volunteer", "content": "just whole numbers", "session_id": 21051, "sequence_id": 107, "annotations": []}
{"role": "student", "content": "ohh", "session_id": 21051, "sequence_id": 108, "annotations": []}
{"role": "volunteer", "content": "positive and negative whole numbers!", "session_id": 21051, "sequence_id": 109, "annotations": []}
{"role": "student", "content": "dat is 3", "session_id": 21051, "sequence_id": 110, "annotations": []}
{"role": "volunteer", "content": "you got it!", "session_id": 21051, "sequence_id": 111, "annotations": []}
{"role": "student", "content": "cuz 2 negatives", "session_id": 21051, "sequence_id": 112, "annotations": []}
{"role": "student", "content": "equal", "session_id": 21051, "sequence_id": 113, "annotations": []}
{"role": "student", "content": "posditiv", "session_id": 21051, "sequence_id": 114, "annotations": []}
{"role": "student", "content": "positive", "session_id": 21051, "sequence_id": 115, "annotations": []}
{"role": "volunteer", "content": "yes!!", "session_id": 21051, "sequence_id": 116, "annotations": []}
{"role": "volunteer", "content": "-3 + 7 = ?", "session_id": 21051, "sequence_id": 117, "annotations": []}
{"role": "student", "content": "4", "session_id": 21051, "sequence_id": 118, "annotations": []}
{"role": "volunteer", "content": "yes!!", "session_id": 21051, "sequence_id": 119, "annotations": []}
{"role": "volunteer", "content": "(-4) * 3 = ?", "session_id": 21051, "sequence_id": 120, "annotations": []}
{"role": "student", "content": "uh", "session_id": 21051, "sequence_id": 121, "annotations": []}
{"role": "student", "content": "uh", "session_id": 21051, "sequence_id": 122, "annotations": []}
{"role": "student", "content": "uh", "session_id": 21051, "sequence_id": 123, "annotations": []}
{"role": "volunteer", "content": "you can do it", "session_id": 21051, "sequence_id": 124, "annotations": []}
{"role": "student", "content": "12", "session_id": 21051, "sequence_id": 125, "annotations": []}
{"role": "student", "content": "cuz", "session_id": 21051, "sequence_id": 126, "annotations": []}
{"role": "student", "content": "in", "session_id": 21051, "sequence_id": 127, "annotations": []}
{"role": "volunteer", "content": "12 or -12?", "session_id": 21051, "sequence_id": 128, "annotations": []}
{"role": "student", "content": "12???", "session_id": 21051, "sequence_id": 129, "annotations": []}
{"role": "volunteer", "content": "there's one negative sign", "session_id": 21051, "sequence_id": 130, "annotations": []}
{"role": "student", "content": "aw", "session_id": 21051, "sequence_id": 131, "annotations": []}
{"role": "volunteer", "content": "-4 * 3 = -12!", "session_id": 21051, "sequence_id": 132, "annotations": []}
{"role": "student", "content": "wait why", "session_id": 21051, "sequence_id": 133, "annotations": []}
{"role": "student", "content": "OHHHH nvmmm", "session_id": 21051, "sequence_id": 134, "annotations": []}
{"role": "volunteer", "content": "u got it?", "session_id": 21051, "sequence_id": 135, "annotations": []}
{"role": "student", "content": "yess", "session_id": 21051, "sequence_id": 136, "annotations": []}
{"role": "volunteer", "content": "Alex", "session_id": 21051, "sequence_id": 137, "annotations": [{"pii_type": "PERSON", "surrogate": "Alex", "start": 0, "end": 4}]}
{"role": "volunteer", "content": "-4 * (-3) = ?", "session_id": 21051, "sequence_id": 138, "annotations": []}
{"role": "student", "content": "12", "session_id": 21051, "sequence_id": 139, "annotations": []}
{"role": "student", "content": "i think", "session_id": 21051, "sequence_id": 140, "annotations": []}
{"role": "volunteer", "content": "yes!!", "session_id": 21051, "sequence_id": 141, "annotations": []}
{"role": "volunteer", "content": "good job!", "session_id": 21051, "sequence_id": 142, "annotations": []}
{"role": "volunteer", "content": "(-15) / 5 = ?", "session_id": 21051, "sequence_id": 143, "annotations": []}
{"role": "student", "content": "sorry im asking the bot something", "session_id": 21051, "sequence_id": 144, "annotations": []}
{"role": "student", "content": "so i can just have it", "session_id": 21051, "sequence_id": 145, "annotations": []}
{"role": "student", "content": "also to answer ur question", "session_id": 21051, "sequence_id": 146, "annotations": []}
{"role": "student", "content": "-3", "session_id": 21051, "sequence_id": 147, "annotations": []}
{"role": "volunteer", "content": "good job!", "session_id": 21051, "sequence_id": 148, "annotations": []}
{"role": "volunteer", "content": "x + 6 = 12 \u2192 x = ?", "session_id": 21051, "sequence_id": 149, "annotations": []}
{"role": "student", "content": "6", "session_id": 21051, "sequence_id": 150, "annotations": []}
{"role": "volunteer", "content": "yes!!", "session_id": 21051, "sequence_id": 151, "annotations": []}
{"role": "volunteer", "content": "3 + 4 \u00d7 2 = ?", "session_id": 21051, "sequence_id": 152, "annotations": []}
{"role": "student", "content": "11", "session_id": 21051, "sequence_id": 153, "annotations": []}
{"role": "volunteer", "content": "yes!!", "session_id": 21051, "sequence_id": 154, "annotations": []}
{"role": "volunteer", "content": "(3 + 4) \u00d7 2 = ?", "session_id": 21051, "sequence_id": 155, "annotations": []}
{"role": "student", "content": "14", "session_id": 21051, "sequence_id": 156, "annotations": []}
{"role": "volunteer", "content": "yes!!", "session_id": 21051, "sequence_id": 157, "annotations": []}
{"role": "volunteer", "content": "ok last concept is geometry basics", "session_id": 21051, "sequence_id": 158, "annotations": []}
{"role": "volunteer", "content": "what is the formula for area of a rectangle?", "session_id": 21051, "sequence_id": 159, "annotations": []}
{"role": "student", "content": "l x w", "session_id": 21051, "sequence_id": 160, "annotations": []}
{"role": "volunteer", "content": "Perimeter of a rectangle?", "session_id": 21051, "sequence_id": 161, "annotations": []}
{"role": "student", "content": "2 (l + w)", "session_id": 21051, "sequence_id": 162, "annotations": []}
{"role": "student", "content": "my plus button is not eorking sorry", "session_id": 21051, "sequence_id": 163, "annotations": []}
{"role": "volunteer", "content": "youre doing great!", "session_id": 21051, "sequence_id": 164, "annotations": []}
{"role": "volunteer", "content": "Triangle area?", "session_id": 21051, "sequence_id": 165, "annotations": []}
{"role": "student", "content": "1/2 x b x h", "session_id": 21051, "sequence_id": 166, "annotations": []}
{"role": "volunteer", "content": "say i have a triangle with base is 6cm, height is 4cm, what is the area?", "session_id": 21051, "sequence_id": 167, "annotations": []}
{"role": "student", "content": "uhh", "session_id": 21051, "sequence_id": 168, "annotations": []}
{"role": "student", "content": "uh", "session_id": 21051, "sequence_id": 169, "annotations": []}
{"role": "student", "content": "uh", "session_id": 21051, "sequence_id": 170, "annotations": []}
{"role": "student", "content": "12", "session_id": 21051, "sequence_id": 171, "annotations": []}
{"role": "student", "content": "cm2", "session_id": 21051, "sequence_id": 172, "annotations": []}
{"role": "volunteer", "content": "good job!", "session_id": 21051, "sequence_id": 173, "annotations": []}
{"role": "student", "content": "cm squared", "session_id": 21051, "sequence_id": 174, "annotations": []}
{"role": "student", "content": "wait", "session_id": 21051, "sequence_id": 175, "annotations": []}
{"role": "volunteer", "content": "Volume of a rectangular prism?", "session_id": 21051, "sequence_id": 176, "annotations": []}
{"role": "volunteer", "content": "hm?", "session_id": 21051, "sequence_id": 177, "annotations": []}
{"role": "student", "content": "nvm", "session_id": 21051, "sequence_id": 178, "annotations": []}
{"role": "student", "content": "w h l", "session_id": 21051, "sequence_id": 179, "annotations": []}
{"role": "student", "content": "or l w h", "session_id": 21051, "sequence_id": 180, "annotations": []}
{"role": "student", "content": "lxwxh", "session_id": 21051, "sequence_id": 181, "annotations": []}
{"role": "volunteer", "content": "yes!", "session_id": 21051, "sequence_id": 182, "annotations": []}
{"role": "volunteer", "content": "what is a right angle?", "session_id": 21051, "sequence_id": 183, "annotations": []}
{"role": "student", "content": "90 degrees", "session_id": 21051, "sequence_id": 184, "annotations": []}
{"role": "volunteer", "content": "acute?", "session_id": 21051, "sequence_id": 185, "annotations": []}
{"role": "student", "content": "idk the exact degree", "session_id": 21051, "sequence_id": 186, "annotations": []}
{"role": "student", "content": "but like", "session_id": 21051, "sequence_id": 187, "annotations": []}
{"role": "student", "content": "lower than 90 degrees", "session_id": 21051, "sequence_id": 188, "annotations": []}
{"role": "volunteer", "content": "yes! good job!", "session_id": 21051, "sequence_id": 189, "annotations": []}
{"role": "volunteer", "content": "obtuse?", "session_id": 21051, "sequence_id": 190, "annotations": []}
{"role": "student", "content": "higher than 90 degrees", "session_id": 21051, "sequence_id": 191, "annotations": []}
{"role": "volunteer", "content": "but less than?", "session_id": 21051, "sequence_id": 192, "annotations": []}
{"role": "student", "content": "its always lower 180 degrees", "session_id": 21051, "sequence_id": 193, "annotations": []}
{"role": "volunteer", "content": "good job!!", "session_id": 21051, "sequence_id": 194, "annotations": []}
{"role": "volunteer", "content": "ok so yeah i think we just went over all concepts of 7th grade math!!", "session_id": 21051, "sequence_id": 195, "annotations": [{"pii_type": "GRADE_LEVEL", "surrogate": "7th grade", "start": 53, "end": 62}]}
{"role": "student", "content": "thats greattt", "session_id": 21051, "sequence_id": 196, "annotations": []}
{"role": "student", "content": "perfect timing i have to eat dinner haha", "session_id": 21051, "sequence_id": 197, "annotations": []}
{"role": "volunteer", "content": "aw yeah go eat!! great job on everything today", "session_id": 21051, "sequence_id": 198, "annotations": []}
{"role": "student", "content": "thsnks so much thyy ill make sure to favorite you so we can hopefully meet up again", "session_id": 21051, "sequence_id": 199, "annotations": []}
{"role": "volunteer", "content": "be more confident in yourself Oakland haha", "session_id": 21051, "sequence_id": 200, "annotations": [{"pii_type": "LOCATION", "surrogate": "Oakland", "start": 30, "end": 37}]}
{"role": "volunteer", "content": "you're doing amazing!!", "session_id": 21051, "sequence_id": 201, "annotations": []}
{"role": "student", "content": "oki dokii", "session_id": 21051, "sequence_id": 202, "annotations": []}
{"role": "student", "content": "and thank u", "session_id": 21051, "sequence_id": 203, "annotations": []}
{"role": "volunteer", "content": "aw thats sweet i'd love to work together again!", "session_id": 21051, "sequence_id": 204, "annotations": []}
{"role": "student", "content": ":D", "session_id": 21051, "sequence_id": 205, "annotations": []}
{"role": "volunteer", "content": "have a good night ok", "session_id": 21051, "sequence_id": 206, "annotations": []}
{"role": "student", "content": "u too", "session_id": 21051, "sequence_id": 207, "annotations": []}
{"role": "student", "content": "i might get on later", "session_id": 21051, "sequence_id": 208, "annotations": []}
{"role": "student", "content": "so keep an eye out for me", "session_id": 21051, "sequence_id": 209, "annotations": []}
{"role": "volunteer", "content": "thank you!! ok i will haha", "session_id": 21051, "sequence_id": 210, "annotations": []}
{"role": "student", "content": "ciaoo", "session_id": 21051, "sequence_id": 211, "annotations": []}
{"role": "volunteer", "content": "ciaoo~", "session_id": 21051, "sequence_id": 212, "annotations": []}
{"role": "volunteer", "content": "hello", "session_id": 20987, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "I just need help making sure my answer is right", "session_id": 20987, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "sure, what did you get as your answer?", "session_id": 20987, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "oh I see, let me check", "session_id": 20987, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "my answer was y = -4/5x=0", "session_id": 20987, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "I'm getting a different answer", "session_id": 20987, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "what did u get", "session_id": 20987, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "y=(1/2)x", "session_id": 20987, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "The first step is to find the midpoint", "session_id": 20987, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "The midpoint is 2,1", "session_id": 20987, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "I did my mid point is 0", "session_id": 20987, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "see what I did wrong", "session_id": 20987, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "the midpoint has to be on the line", "session_id": 20987, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "on the screen I showed my work for how i found the x and y midpoints", "session_id": 20987, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "got it", "session_id": 20987, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "ok great, you see how the point (2,1) is in the middle of that line? That's a good way to check to see we did it right", "session_id": 20987, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "next step is to find the slope", "session_id": 20987, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "so we plug in the numbers into the slope formula and we get -2", "session_id": 20987, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "Let me know if you have any questions with anything", "session_id": 20987, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "nope that's it", "session_id": 20987, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "great, any other problems I can help with?", "session_id": 20987, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "I'm ending the session, feel free to request another one if needed. Have a nice day!", "session_id": 20987, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "Hello", "session_id": 21238, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "Hi", "session_id": 21238, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "How may I help you?", "session_id": 21238, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "I have a prompt on the board", "session_id": 21238, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "I already wrote my answer so I just want you to check my answer.", "session_id": 21238, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "Can you see it on the board?", "session_id": 21238, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "Hold on", "session_id": 21238, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "Yes, I see the question.", "session_id": 21238, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "ok", "session_id": 21238, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "Tell me when you are ready to see my answer", "session_id": 21238, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "go ahead", "session_id": 21238, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "ok", "session_id": 21238, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "The reciprocal functions are the multiplicative inverses of the original trig functions. When you graph the reciprocal functions, like cosecant (which is the reciprocal of sine), there will be vertical asymptotes at the midline of the original function because 1 divided by 0 is undefined. When x approaches 0 in the original functions, the reciprocal functions are undefined, because 1/0 is undefined. There will be points at the amplitudes of the sine graph, and they will continue upwards or downwards until they reach the asymptotes. The parabolic curves are what the sine) graph would look like compared to the cosine) graph. As you can see, when f(x) = 0, there are asymptotes on the tangent) graph. \nAn easy way to graph reciprocal sine or cosine graphs is to first graph the original, then find the asymptotes where f(x) hits the midline, and find the points at the peaks, or amplitudes, of the graph. \nFor Visual-Spatial learners, I would draw graphs for them to visualize it. I would make animated videos of how the graphs relate to each other and show each transformation step by step if there are any transformations involved. For Aural-Auditory learners, I would talk to them and explain how to do it step by step. For Reading/Writing learners, I would write down instructions on how to graph the six functions and they would read it and learn by themselves. For Physical-Bodily-Kinesthetic learners, I would have interactive activities to keep them physically moving. For Logical-Mathematical learners, I would do deductive reasoning and ask them to find out the domain and range of both sine and cosecant graphs, so they can get a rough sketch. For Social-Interpersonal learners, I would get other Social-Interpersonal people and would teach all of them while they discuss stuff about the graphs. And finally, for Solitary-Intrapersonal learners, I would just briefly tell them what the trig graphs look like and let them figure out the other stuff on their own, since they like to work alone.", "session_id": 21238, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "What do you mean by the midline of the original function?", "session_id": 21238, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "You mean where the original graph crosses the midline, I suppose.", "session_id": 21238, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 21238, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "In the sentence that I circled, I think you are talking about the maxima and minima of the original graph, not amplitudes", "session_id": 21238, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "oh", "session_id": 21238, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "I notice that you don't mention graphing cotangent", "session_id": 21238, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "by amplitudes you mean extrema where I circled.", "session_id": 21238, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 21238, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "Graphing cotangent is different", "session_id": 21238, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "In the case of sinx and cosx the midline is the x axis.", "session_id": 21238, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "Other than that, it looks reasonable.", "session_id": 21238, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "Are you all set now?", "session_id": 21238, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 21238, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "OK, have a good weekend.", "session_id": 21238, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "Bye", "session_id": 21238, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "bye", "session_id": 21238, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "Hello", "session_id": 21406, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "Hi", "session_id": 21406, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "Can you please help me with a question", "session_id": 21406, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 21406, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "It's on the board", "session_id": 21406, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "Specially b", "session_id": 21406, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 21406, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "You would use the product rule", "session_id": 21406, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "Ok", "session_id": 21406, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "Can you please do on the board", "session_id": 21406, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "Any questions about that?", "session_id": 21406, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "Yes I don't get what you just did", "session_id": 21406, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "I applied the product rule to the product of the two functions sec and tanx.  Are you familiar with the product rule?", "session_id": 21406, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "Yes but only when given a number and constant", "session_id": 21406, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "Ok, then you aren't really familiar with the product rule.  I will write it on board.", "session_id": 21406, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "Ok", "session_id": 21406, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "That's the product rule, and I applied that to tanx * secx, letting tanx =f and secx =g", "session_id": 21406, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "Any questions about that step?", "session_id": 21406, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "Yes did you differentiate", "session_id": 21406, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 21406, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "What is the differentiation of tanx", "session_id": 21406, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "the derivative of tanx is sec^2x", "session_id": 21406, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "Ok h", "session_id": 21406, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "Just repeat that last step I don't get the placing", "session_id": 21406, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "does that make it clearer?", "session_id": 21406, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "Is it not supposed to be sec^2cx+tanxtanx", "session_id": 21406, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "Sorry, I am not sure what you are asking.  Can you circle the part that you are having trouble with?", "session_id": 21406, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "Oh I get it now but please explain why the differentiation of sec is so", "session_id": 21406, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "What are you asking?", "session_id": 21406, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "What is the differentiation of sec", "session_id": 21406, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "the derivative of secx is sec(x)*tan(x)", "session_id": 21406, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "Did you want me to derive that?", "session_id": 21406, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "How did you get it", "session_id": 21406, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "I will derive it for you.", "session_id": 21406, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "I will use the quotient rule.", "session_id": 21406, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "Ok", "session_id": 21406, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "there you go", "session_id": 21406, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "I get it now", "session_id": 21406, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "To finish part b, I will use a trig identity", "session_id": 21406, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "Ok", "session_id": 21406, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "So a is 2 and b - 1", "session_id": 21406, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 21406, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "Ok and c", "session_id": 21406, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "Do you want to give that a try?", "session_id": 21406, "sequence_id": 43, "annotations": []}
{"role": "student", "content": "Ill try and see if I get anything right", "session_id": 21406, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "are you going to do it on the board?", "session_id": 21406, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "No I don't know how to use it", "session_id": 21406, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "What is the antiderivative of sec^2(x) ?", "session_id": 21406, "sequence_id": 47, "annotations": []}
{"role": "student", "content": "tanx", "session_id": 21406, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "good", "session_id": 21406, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "and what is the antiderivative of secx*tanx?", "session_id": 21406, "sequence_id": 50, "annotations": []}
{"role": "student", "content": "1over cosx", "session_id": 21406, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "yes, which is secx, right?", "session_id": 21406, "sequence_id": 52, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 21406, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "do you want to do the calculation on the board?", "session_id": 21406, "sequence_id": 54, "annotations": []}
{"role": "student", "content": "No but I got 4-3squreroot of 2", "session_id": 21406, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "Yes, that's right.  very good.", "session_id": 21406, "sequence_id": 56, "annotations": []}
{"role": "student", "content": "Thank you so much for your help", "session_id": 21406, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "You are very welcome.", "session_id": 21406, "sequence_id": 58, "annotations": []}
{"role": "student", "content": "Have a blessed day", "session_id": 21406, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "have a good evening.", "session_id": 21406, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "bye", "session_id": 21406, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "hello", "session_id": 21289, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "Hi, how are you?", "session_id": 21289, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "Sorry my internet is a bit slow", "session_id": 21289, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "How may I help you?", "session_id": 21289, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "I wanted to understand a form of equations. Here is an example", "session_id": 21289, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "3x - 7 = 2x + 5", "session_id": 21289, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "Do you mean that you would like to solve it for x?", "session_id": 21289, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "I believe so", "session_id": 21289, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "What you want to do is to get all the terms that have an x over on one side (like the left side), and the two numbers on the right.", "session_id": 21289, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "Do you have an idea of what might be a good first step?", "session_id": 21289, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "I'm not very sure, I don't know much about this topic.", "session_id": 21289, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "We can get the -7 over to the right by adding 7 to both sides.", "session_id": 21289, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "what is -7 +7 ?", "session_id": 21289, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "so that would be 3x = 2x + 12?", "session_id": 21289, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "0", "session_id": 21289, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "We made the equation a little simpler by doing that, didn't we?", "session_id": 21289, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "Yes sir", "session_id": 21289, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "Now we would like to get the 2x over to the left. We can do that by subtracting 2x from both sides.", "session_id": 21289, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "what is 3x minus 2x ?", "session_id": 21289, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "1x", "session_id": 21289, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "so 1x = 12?", "session_id": 21289, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "what is 2x - 2x ?", "session_id": 21289, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "x", "session_id": 21289, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "sorry, no.", "session_id": 21289, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "what is 2 - 2 ?", "session_id": 21289, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "0", "session_id": 21289, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "yes, and so 2x - 2x also =0", "session_id": 21289, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "oh okay", "session_id": 21289, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "1x can just be written as x", "session_id": 21289, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "Okay, x = 12", "session_id": 21289, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "Thank you for the help, that was quite simple.", "session_id": 21289, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "you are very welcome", "session_id": 21289, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "Do you think we can do one more?", "session_id": 21289, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "sure", "session_id": 21289, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "I don't have a problem, If you would like to create one, that would be great.", "session_id": 21289, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "What do you think might be a good first step?", "session_id": 21289, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "I think we can subtract 2 from both sides", "session_id": 21289, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "so it becomes 3x + 6 = x -12", "session_id": 21289, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "Do you mean subtracting 2x from both sides?", "session_id": 21289, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "Sorry, yes", "session_id": 21289, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "What will you have on the right side after you subtract 2x?", "session_id": 21289, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "3x + 6 = -12?", "session_id": 21289, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "That's right. very good", "session_id": 21289, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "what might you do next?", "session_id": 21289, "sequence_id": 43, "annotations": []}
{"role": "student", "content": "Thank you", "session_id": 21289, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "I can subtract 6 from both sides, leaving 3x = -18", "session_id": 21289, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "right again!", "session_id": 21289, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "Thank you :)", "session_id": 21289, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "What might be the last step?", "session_id": 21289, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "We can subtract 2 from both sides, so x = -21", "session_id": 21289, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "You can's subtract 2 from 3x because 3x and 2 are not like terms.", "session_id": 21289, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "From 3x you can only add and subtract terms with an x", "session_id": 21289, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "right now the x is being multiplied by 3, right?", "session_id": 21289, "sequence_id": 52, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 21289, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "So to get rid of the 3 from in front of the x, we do the opposite of multiplication.", "session_id": 21289, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "what is the opposite of multiplication?", "session_id": 21289, "sequence_id": 55, "annotations": []}
{"role": "student", "content": "divition", "session_id": 21289, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "Yes, so we divide both sides by 3", "session_id": 21289, "sequence_id": 57, "annotations": []}
{"role": "student", "content": "*division", "session_id": 21289, "sequence_id": 58, "annotations": []}
{"role": "student", "content": "okay", "session_id": 21289, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "what is 3x divided by 3?", "session_id": 21289, "sequence_id": 60, "annotations": []}
{"role": "student", "content": "1", "session_id": 21289, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "the 3's cancel and we are left with 1x =x", "session_id": 21289, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "any questions about that?", "session_id": 21289, "sequence_id": 63, "annotations": []}
{"role": "student", "content": "No, thank you", "session_id": 21289, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "and what is -18/3 ?", "session_id": 21289, "sequence_id": 65, "annotations": []}
{"role": "student", "content": "-6?", "session_id": 21289, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "That's it.", "session_id": 21289, "sequence_id": 67, "annotations": []}
{"role": "student", "content": "Okay, makes sense. Thank you for your help", "session_id": 21289, "sequence_id": 68, "annotations": []}
{"role": "student", "content": "Have a good rest of your day!", "session_id": 21289, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "You are very welcome", "session_id": 21289, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "you too", "session_id": 21289, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "bye", "session_id": 21289, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "Hi Sam", "session_id": 21430, "sequence_id": 0, "annotations": [{"pii_type": "PERSON", "surrogate": "Sam", "start": 3, "end": 6}]}
{"role": "student", "content": "Hi how are you doing", "session_id": 21430, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "Can you please help me with a question it's on the board", "session_id": 21430, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "Doing well, thanks. And you?", "session_id": 21430, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "It's loading", "session_id": 21430, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "I see the upload. I'll need to enlarge a bit...", "session_id": 21430, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "1 and 3", "session_id": 21430, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "I'm looking at problem 1. Can you give me 4 minutes to solve, and then I'll explain?", "session_id": 21430, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "Ok", "session_id": 21430, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "But can you explain it on the board", "session_id": 21430, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "We can start.", "session_id": 21430, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "Yes, I'll explain on the board. I'll write below your uploaded page.", "session_id": 21430, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "Do you see what I wrote? OK so far?", "session_id": 21430, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "I'm writing the trigonometric identities we'll need in green color.", "session_id": 21430, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "Are you there?", "session_id": 21430, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "I'm sorry my network was bad", "session_id": 21430, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "I'm still here. Can you see what I wrote?", "session_id": 21430, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 21430, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "We need several trigonometric identities to solve the problem. I wrote them down for you.", "session_id": 21430, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "OK so far?", "session_id": 21430, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "Ok", "session_id": 21430, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "Can you continue?", "session_id": 21430, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "Let me see what you did and see if I can", "session_id": 21430, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "Im getting a different answer", "session_id": 21430, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "There's one more step. We can use the identity in pink (or purple) color.", "session_id": 21430, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "Ok", "session_id": 21430, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "The next step is to solve the integral.", "session_id": 21430, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "Ok", "session_id": 21430, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "We'll separate the integral into 3 terms.", "session_id": 21430, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "Can you solve the first integral, with sec^2x ?", "session_id": 21430, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "tan x", "session_id": 21430, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "Correct. How about the second integral?", "session_id": 21430, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "X over 2", "session_id": 21430, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "That's the 3rd integral. How about the one with cos(2x) ?", "session_id": 21430, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "Sin 2x", "session_id": 21430, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "But what's the use of the 3rd integral", "session_id": 21430, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "You just put a dx there", "session_id": 21430, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "Yes. We have to include the 3rd integral, because it's part of the expression we have to integrate. See what I'll box in red color for problem 1.", "session_id": 21430, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "Oh OK", "session_id": 21430, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "Can you find the value of the definite integral (including all 3 terms) ?", "session_id": 21430, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "Is it 5/4-1/8pi", "session_id": 21430, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "Boom! You got it.", "session_id": 21430, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "Ohhh", "session_id": 21430, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "So meaning I can't have one integral", "session_id": 21430, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "You can put all 3 terms into a single integral, but it can be easier to separate the integrals.", "session_id": 21430, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "Oh OK I get it", "session_id": 21430, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "Number 3", "session_id": 21430, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "Did you learn the formula for sin(A+B) = ?", "session_id": 21430, "sequence_id": 47, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 21430, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "Can you write it?", "session_id": 21430, "sequence_id": 49, "annotations": []}
{"role": "student", "content": "Sin a cosb+cosa sinb", "session_id": 21430, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "Awesome. We'll also need cos(A+B) = ?", "session_id": 21430, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "Ok", "session_id": 21430, "sequence_id": 52, "annotations": []}
{"role": "student", "content": "Why can't we use the double angle formula instead", "session_id": 21430, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "That's what we're using, but we need to do it in two steps.", "session_id": 21430, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "Do you see what I wrote?", "session_id": 21430, "sequence_id": 55, "annotations": []}
{"role": "student", "content": "Ohhh", "session_id": 21430, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "Next, we apply the double angle formula for the \"2x\" in green color.", "session_id": 21430, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "OK so far?", "session_id": 21430, "sequence_id": 58, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 21430, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "Can you give me 3 minutes to solve the next step, and then I'll explain?", "session_id": 21430, "sequence_id": 60, "annotations": []}
{"role": "student", "content": "Ok", "session_id": 21430, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "We can continue...", "session_id": 21430, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "What can we do to transform the cos^2(x) into cos(2x)) ?", "session_id": 21430, "sequence_id": 63, "annotations": []}
{"role": "student", "content": "Divide everything perhaps by 2", "session_id": 21430, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "We'll use the identity boxed in red.", "session_id": 21430, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "What's the final result?", "session_id": 21430, "sequence_id": 66, "annotations": []}
{"role": "student", "content": "Isn't it supposed to be 2cos^2x", "session_id": 21430, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "There's the identity: cos^2(x)+sin^2(x) = 1, correct?", "session_id": 21430, "sequence_id": 68, "annotations": []}
{"role": "student", "content": "But at the 3rd last point if you add both the terms will it not be 2cos^2x", "session_id": 21430, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "Can you show me where?", "session_id": 21430, "sequence_id": 70, "annotations": []}
{"role": "student", "content": "Can you hear me?", "session_id": 21430, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "Hi, Ben, can you hear me?", "session_id": 21430, "sequence_id": 72, "annotations": [{"pii_type": "PERSON", "surrogate": "Ben", "start": 4, "end": 7}]}
{"role": "student", "content": "Yes, I can.", "session_id": 21430, "sequence_id": 73, "annotations": []}
{"role": "student", "content": "Um, what I'm asking is, uh, the 3rd last.", "session_id": 21430, "sequence_id": 74, "annotations": []}
{"role": "student", "content": "Point where this quick cause", "session_id": 21430, "sequence_id": 75, "annotations": []}
{"role": "student", "content": "2 eggs.", "session_id": 21430, "sequence_id": 76, "annotations": []}
{"role": "student", "content": "Right?", "session_id": 21430, "sequence_id": 77, "annotations": []}
{"role": "student", "content": "Can you hear me?", "session_id": 21430, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "OK, I can hear you, so can you show me where the problem is?", "session_id": 21430, "sequence_id": 79, "annotations": []}
{"role": "student", "content": "Uh let me just say the second last. I don't understand how you got the second last equation.", "session_id": 21430, "sequence_id": 80, "annotations": []}
{"role": "volunteer", "content": "OK, let me underline or box one of the equations.", "session_id": 21430, "sequence_id": 81, "annotations": []}
{"role": "volunteer", "content": "Um", "session_id": 21430, "sequence_id": 82, "annotations": []}
{"role": "volunteer", "content": "Are you OK with the one I boxed in black?", "session_id": 21430, "sequence_id": 83, "annotations": []}
{"role": "student", "content": "Yes.", "session_id": 21430, "sequence_id": 84, "annotations": []}
{"role": "volunteer", "content": "OK.", "session_id": 21430, "sequence_id": 85, "annotations": []}
{"role": "volunteer", "content": "Now,", "session_id": 21430, "sequence_id": 86, "annotations": []}
{"role": "volunteer", "content": "The next step is to add the similar or", "session_id": 21430, "sequence_id": 87, "annotations": []}
{"role": "volunteer", "content": "Um", "session_id": 21430, "sequence_id": 88, "annotations": []}
{"role": "volunteer", "content": "Like terms.", "session_id": 21430, "sequence_id": 89, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 21430, "sequence_id": 90, "annotations": []}
{"role": "volunteer", "content": "So we have a 2 here.", "session_id": 21430, "sequence_id": 91, "annotations": []}
{"role": "volunteer", "content": "And this is like a one here.", "session_id": 21430, "sequence_id": 92, "annotations": []}
{"role": "student", "content": "Oh, I, I thought it was too thin plus.", "session_id": 21430, "sequence_id": 93, "annotations": []}
{"role": "student", "content": "I didn't see that it was the X, so I get it now.", "session_id": 21430, "sequence_id": 94, "annotations": []}
{"role": "volunteer", "content": "OK, is it clear now?", "session_id": 21430, "sequence_id": 95, "annotations": []}
{"role": "student", "content": "Yes, it is.", "session_id": 21430, "sequence_id": 96, "annotations": []}
{"role": "volunteer", "content": "OK, so if we add the 2 and the 1, then we end up with 3 on the following line.", "session_id": 21430, "sequence_id": 97, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 21430, "sequence_id": 98, "annotations": []}
{"role": "volunteer", "content": "And the very last line.", "session_id": 21430, "sequence_id": 99, "annotations": []}
{"role": "volunteer", "content": "Will be then", "session_id": 21430, "sequence_id": 100, "annotations": []}
{"role": "volunteer", "content": "Three times sine x.", "session_id": 21430, "sequence_id": 101, "annotations": []}
{"role": "volunteer", "content": "Minus 4 times sin.", "session_id": 21430, "sequence_id": 102, "annotations": []}
{"role": "volunteer", "content": "Sign cube X.", "session_id": 21430, "sequence_id": 103, "annotations": []}
{"role": "volunteer", "content": "And that's what we needed to show, right?", "session_id": 21430, "sequence_id": 104, "annotations": []}
{"role": "student", "content": "Mhm", "session_id": 21430, "sequence_id": 105, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 21430, "sequence_id": 106, "annotations": []}
{"role": "volunteer", "content": "So the last step is to take that last expression and", "session_id": 21430, "sequence_id": 107, "annotations": []}
{"role": "volunteer", "content": "Solve it for sine cube X and integrated.", "session_id": 21430, "sequence_id": 108, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 21430, "sequence_id": 109, "annotations": []}
{"role": "volunteer", "content": "So if we solve for sign cube X, what would we get?", "session_id": 21430, "sequence_id": 110, "annotations": []}
{"role": "student", "content": "If you're sold for it.", "session_id": 21430, "sequence_id": 111, "annotations": []}
{"role": "volunteer", "content": "Because what we want to integrate a sine cube x. So if we", "session_id": 21430, "sequence_id": 112, "annotations": []}
{"role": "student", "content": "How my want to get", "session_id": 21430, "sequence_id": 113, "annotations": []}
{"role": "student", "content": "Um", "session_id": 21430, "sequence_id": 114, "annotations": []}
{"role": "student", "content": "One of the 3 minus cost.", "session_id": 21430, "sequence_id": 115, "annotations": []}
{"role": "student", "content": "Cubic.", "session_id": 21430, "sequence_id": 116, "annotations": []}
{"role": "volunteer", "content": "OK, let's see.", "session_id": 21430, "sequence_id": 117, "annotations": []}
{"role": "volunteer", "content": "I'm gonna show a bit more detail on the board.", "session_id": 21430, "sequence_id": 118, "annotations": []}
{"role": "volunteer", "content": "So the result we found is sine 3 x equals.", "session_id": 21430, "sequence_id": 119, "annotations": []}
{"role": "volunteer", "content": "Three times sine x.", "session_id": 21430, "sequence_id": 120, "annotations": []}
{"role": "volunteer", "content": "minus 4 sign.", "session_id": 21430, "sequence_id": 121, "annotations": []}
{"role": "volunteer", "content": "cube x, so that means", "session_id": 21430, "sequence_id": 122, "annotations": []}
{"role": "volunteer", "content": "Sign cube x.", "session_id": 21430, "sequence_id": 123, "annotations": []}
{"role": "volunteer", "content": "What would that be if we saw for sine cube x.", "session_id": 21430, "sequence_id": 124, "annotations": []}
{"role": "student", "content": "Um, saying 3 X.", "session_id": 21430, "sequence_id": 125, "annotations": []}
{"role": "student", "content": "Minus 3 X.", "session_id": 21430, "sequence_id": 126, "annotations": []}
{"role": "volunteer", "content": "Right?", "session_id": 21430, "sequence_id": 127, "annotations": []}
{"role": "student", "content": "Over 4.", "session_id": 21430, "sequence_id": 128, "annotations": []}
{"role": "volunteer", "content": "Over ne4. That's right.", "session_id": 21430, "sequence_id": 129, "annotations": []}
{"role": "volunteer", "content": "And we can simplify that a little bit.", "session_id": 21430, "sequence_id": 130, "annotations": []}
{"role": "volunteer", "content": "Um, we can multiply top and bottom by -1.", "session_id": 21430, "sequence_id": 131, "annotations": []}
{"role": "volunteer", "content": "So that will give us", "session_id": 21430, "sequence_id": 132, "annotations": []}
{"role": "volunteer", "content": "All right.", "session_id": 21430, "sequence_id": 133, "annotations": []}
{"role": "student", "content": "Mhm", "session_id": 21430, "sequence_id": 134, "annotations": []}
{"role": "volunteer", "content": "Then we integrate that between 0 and over.", "session_id": 21430, "sequence_id": 135, "annotations": []}
{"role": "volunteer", "content": "High over 3", "session_id": 21430, "sequence_id": 136, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 21430, "sequence_id": 137, "annotations": []}
{"role": "volunteer", "content": "So", "session_id": 21430, "sequence_id": 138, "annotations": []}
{"role": "volunteer", "content": "OK, I need to fix one term.", "session_id": 21430, "sequence_id": 139, "annotations": []}
{"role": "volunteer", "content": "This is 3.", "session_id": 21430, "sequence_id": 140, "annotations": []}
{"role": "volunteer", "content": "OK, can you continue?", "session_id": 21430, "sequence_id": 141, "annotations": []}
{"role": "student", "content": "Mm, yes.", "session_id": 21430, "sequence_id": 142, "annotations": []}
{"role": "volunteer", "content": "So what would be the first integral?", "session_id": 21430, "sequence_id": 143, "annotations": []}
{"role": "student", "content": "Um", "session_id": 21430, "sequence_id": 144, "annotations": []}
{"role": "student", "content": "Mhm", "session_id": 21430, "sequence_id": 145, "annotations": []}
{"role": "student", "content": "3.", "session_id": 21430, "sequence_id": 146, "annotations": []}
{"role": "student", "content": "X", "session_id": 21430, "sequence_id": 147, "annotations": []}
{"role": "volunteer", "content": "OK, and the second one.", "session_id": 21430, "sequence_id": 148, "annotations": []}
{"role": "student", "content": "1/3 cos(3x)", "session_id": 21430, "sequence_id": 149, "annotations": []}
{"role": "student", "content": "One of 3.", "session_id": 21430, "sequence_id": 150, "annotations": []}
{"role": "student", "content": "Cause", "session_id": 21430, "sequence_id": 151, "annotations": []}
{"role": "student", "content": "3 eggs.", "session_id": 21430, "sequence_id": 152, "annotations": []}
{"role": "volunteer", "content": "OK.", "session_id": 21430, "sequence_id": 153, "annotations": []}
{"role": "volunteer", "content": "All right, let's see if we can find the, the final answer.", "session_id": 21430, "sequence_id": 154, "annotations": []}
{"role": "student", "content": "OK", "session_id": 21430, "sequence_id": 155, "annotations": []}
{"role": "student", "content": "Poison.", "session_id": 21430, "sequence_id": 156, "annotations": []}
{"role": "student", "content": "Um,", "session_id": 21430, "sequence_id": 157, "annotations": []}
{"role": "student", "content": "Can I see what I'm getting?", "session_id": 21430, "sequence_id": 158, "annotations": []}
{"role": "volunteer", "content": "OK.", "session_id": 21430, "sequence_id": 159, "annotations": []}
{"role": "student", "content": "Um, give me a moment.", "session_id": 21430, "sequence_id": 160, "annotations": []}
{"role": "student", "content": "I'm getting 1/6.", "session_id": 21430, "sequence_id": 161, "annotations": []}
{"role": "volunteer", "content": "1/3.", "session_id": 21430, "sequence_id": 162, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 21430, "sequence_id": 163, "annotations": []}
{"role": "student", "content": "Oh, it's not negative. It's just 1/6.", "session_id": 21430, "sequence_id": 164, "annotations": []}
{"role": "volunteer", "content": "Over 3, OK, let me see.", "session_id": 21430, "sequence_id": 165, "annotations": []}
{"role": "volunteer", "content": "OK, well, I'm, I'm getting a different answer. Let me write the next step.", "session_id": 21430, "sequence_id": 166, "annotations": []}
{"role": "volunteer", "content": "I'm gonna try to shrink.", "session_id": 21430, "sequence_id": 167, "annotations": []}
{"role": "volunteer", "content": "The text a little bit. I'm going to select everything.", "session_id": 21430, "sequence_id": 168, "annotations": []}
{"role": "volunteer", "content": "And uh", "session_id": 21430, "sequence_id": 169, "annotations": []}
{"role": "volunteer", "content": "OK, let's see the next step.", "session_id": 21430, "sequence_id": 170, "annotations": []}
{"role": "volunteer", "content": "So, cosine of i over 3.", "session_id": 21430, "sequence_id": 171, "annotations": []}
{"role": "volunteer", "content": "That should be one half, correct?", "session_id": 21430, "sequence_id": 172, "annotations": []}
{"role": "student", "content": "Mhm.", "session_id": 21430, "sequence_id": 173, "annotations": []}
{"role": "volunteer", "content": "OK.", "session_id": 21430, "sequence_id": 174, "annotations": []}
{"role": "volunteer", "content": "Plus 1/3 now cosine of 3 times i over 3 is co-signed pi, which is -1.", "session_id": 21430, "sequence_id": 175, "annotations": []}
{"role": "volunteer", "content": "Or I should say -1.", "session_id": 21430, "sequence_id": 176, "annotations": []}
{"role": "volunteer", "content": "And then", "session_id": 21430, "sequence_id": 177, "annotations": []}
{"role": "volunteer", "content": "Le", "session_id": 21430, "sequence_id": 178, "annotations": []}
{"role": "volunteer", "content": "3 times cosine of 0, which is 1.", "session_id": 21430, "sequence_id": 179, "annotations": []}
{"role": "volunteer", "content": "And then minus 1/3.", "session_id": 21430, "sequence_id": 180, "annotations": []}
{"role": "volunteer", "content": "Times", "session_id": 21430, "sequence_id": 181, "annotations": []}
{"role": "volunteer", "content": "Again, co-signed 3 times 0 is 1.", "session_id": 21430, "sequence_id": 182, "annotations": []}
{"role": "volunteer", "content": "OK, let's see what all of this.", "session_id": 21430, "sequence_id": 183, "annotations": []}
{"role": "volunteer", "content": "OK, what's, what's your final answer?", "session_id": 21430, "sequence_id": 184, "annotations": []}
{"role": "volunteer", "content": "If you look at what I wrote.", "session_id": 21430, "sequence_id": 185, "annotations": []}
{"role": "student", "content": "I didn't calculate this one, but I recalculated and I got 5/24.", "session_id": 21430, "sequence_id": 186, "annotations": []}
{"role": "volunteer", "content": "That is exactly right.", "session_id": 21430, "sequence_id": 187, "annotations": []}
{"role": "student", "content": "Uh", "session_id": 21430, "sequence_id": 188, "annotations": []}
{"role": "volunteer", "content": "You got it.", "session_id": 21430, "sequence_id": 189, "annotations": []}
{"role": "student", "content": "OK. Thank you so much.", "session_id": 21430, "sequence_id": 190, "annotations": []}
{"role": "volunteer", "content": "OK, you're welcome. I'll just write the final answer, so 5.", "session_id": 21430, "sequence_id": 191, "annotations": []}
{"role": "volunteer", "content": "5/24.", "session_id": 21430, "sequence_id": 192, "annotations": []}
{"role": "volunteer", "content": "There you go.", "session_id": 21430, "sequence_id": 193, "annotations": []}
{"role": "volunteer", "content": "So any, any last question that uh", "session_id": 21430, "sequence_id": 194, "annotations": []}
{"role": "volunteer", "content": "Any quick question before I go?", "session_id": 21430, "sequence_id": 195, "annotations": []}
{"role": "student", "content": "Um,", "session_id": 21430, "sequence_id": 196, "annotations": []}
{"role": "student", "content": "Do we have to know all these identities.", "session_id": 21430, "sequence_id": 197, "annotations": []}
{"role": "student", "content": "In calculus.", "session_id": 21430, "sequence_id": 198, "annotations": []}
{"role": "volunteer", "content": "Well, let me tell you there are a lot, yeah, there are a lot of identities in calculus. The most important one is the one I wrote in red color?", "session_id": 21430, "sequence_id": 199, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 21430, "sequence_id": 200, "annotations": []}
{"role": "volunteer", "content": "Cosine squared plus sine square equal 1 and with that, you can, you can derive many of the other ones. The other important one are the.", "session_id": 21430, "sequence_id": 201, "annotations": []}
{"role": "volunteer", "content": "Angled addition formulas like sign of A + B, cosine of A + B, if you know those two, you can derive all the other equations. So just these 3, if you know them well, you can find all the other identities.", "session_id": 21430, "sequence_id": 202, "annotations": []}
{"role": "student", "content": "OK. Thank you so much, Mr. Smith.", "session_id": 21430, "sequence_id": 203, "annotations": [{"pii_type": "PERSON", "surrogate": "Smith", "start": 27, "end": 32}]}
{"role": "volunteer", "content": "OK, you're welcome. Have a great day.", "session_id": 21430, "sequence_id": 204, "annotations": []}
{"role": "student", "content": "Same to you.", "session_id": 21430, "sequence_id": 205, "annotations": []}
{"role": "student", "content": "hello", "session_id": 21464, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "i need homework help", "session_id": 21464, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "is 15 = -403", "session_id": 21464, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "hello??", "session_id": 21464, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "Hello\u2019", "session_id": 21464, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "hi!", "session_id": 21464, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "Cannot s\u00ea the qu\u00e9tion", "session_id": 21464, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "huh the worksheet is there", "session_id": 21464, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "i solve it in my ipadd im just asking for confirmation", "session_id": 21464, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "\u00dde", "session_id": 21464, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "Yes", "session_id": 21464, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "1st answer is -413", "session_id": 21464, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "2nd answer is 2, -2, -6, -10, -14", "session_id": 21464, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "oh oki", "session_id": 21464, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "3rd answer 7", "session_id": 21464, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "same with what uhad", "session_id": 21464, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "4th is 11", "session_id": 21464, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "5th is 18.5 miles", "session_id": 21464, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "6th is php 123.45", "session_id": 21464, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "how to do x", "session_id": 21464, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "Wait solving", "session_id": 21464, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "Okay?", "session_id": 21464, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "oh i get it", "session_id": 21464, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "i have moree", "session_id": 21464, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "plz check", "session_id": 21464, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "Okay", "session_id": 21464, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "are they corect?", "session_id": 21464, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "1st is -400", "session_id": 21464, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "2nd is correct", "session_id": 21464, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "3rd is 65", "session_id": 21464, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "why?", "session_id": 21464, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "4th 88", "session_id": 21464, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "5th is -344", "session_id": 21464, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "15+2(51-1)=15+2(50  100+15", "session_id": 21464, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "115", "session_id": 21464, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "I have solved", "session_id": 21464, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "huh", "session_id": 21464, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "Yes\u2019", "session_id": 21464, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "why 65?", "session_id": 21464, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "Formula is a_1+(n-1)d", "session_id": 21464, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "So 15+ (51-1) 1", "session_id": 21464, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "the difference is 2  as 15+2 is 17", "session_id": 21464, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "Difference is 1", "session_id": 21464, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "17+2=19", "session_id": 21464, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "16-15=1", "session_id": 21464, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "what does 16 have to do with as 15,17,19", "session_id": 21464, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "using d forula 19-15/3-1 = 12", "session_id": 21464, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "2nd 20 only", "session_id": 21464, "sequence_id": 47, "annotations": []}
{"role": "student", "content": "yea", "session_id": 21464, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "In 3rd question the sequence is 15,16,17 so 16-15=1", "session_id": 21464, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "So to find out 51st term the difference will be 1 na", "session_id": 21464, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "So 15+(51-1)1", "session_id": 21464, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "Liam bye!", "session_id": 21464, "sequence_id": 52, "annotations": [{"pii_type": "PERSON", "surrogate": "Liam", "start": 0, "end": 4}]}
{"role": "volunteer", "content": "Bye", "session_id": 21464, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "Hello how are you today", "session_id": 21429, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "Hi I\u2019m well I\u2019m uploading my question now ", "session_id": 21429, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "Sounds good!", "session_id": 21429, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "Do you see it ", "session_id": 21429, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "I see it but parts of it appear missing", "session_id": 21429, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "Oh never mind.  Misread the problem", "session_id": 21429, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "Ok thank you", "session_id": 21429, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "So what would be your first step to solve this?", "session_id": 21429, "sequence_id": 7, "annotations": []}
{"role": "student", "content": " I added the points that were at (-3, 5) and (2, -1) I\u2019m not sure if that was right at all ", "session_id": 21429, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "So your final answer is Q?", "session_id": 21429, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "The x value was Q so I went with it ", "session_id": 21429, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "Yes good job!  Sorry I thought you wanted to work throughproblem togeter; not have me check it", "session_id": 21429, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "lol ty have a good day ", "session_id": 21429, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "Hello Alex! How are you today?", "session_id": 21498, "sequence_id": 0, "annotations": [{"pii_type": "PERSON", "surrogate": "Alex", "start": 6, "end": 10}]}
{"role": "student", "content": "Hi! I am good, thanks for asking. How are you?", "session_id": 21498, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "Great! Thanks!", "session_id": 21498, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "What would you like help with today?", "session_id": 21498, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "Well, I am working on an assignment about factoring by grouping I think is what it is called and I was hoping to get help on some questions but I am having a lot of trouble understanding this topic so you might have to explain a few times", "session_id": 21498, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "That's fine. What is the first question?", "session_id": 21498, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "Can I please put it on the board?", "session_id": 21498, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "Of course!", "session_id": 21498, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "thanks", "session_id": 21498, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "Okay, can you see it?", "session_id": 21498, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "Yes", "session_id": 21498, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "Have you started the problem yet?", "session_id": 21498, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "well I think to star you divide the whole think by -x to cancle out x?", "session_id": 21498, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "That's a good start, but incorrect because the last tern (-35) doesn't gave an x in it", "session_id": 21498, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "i thought it was for 4xy - 7x", "session_id": 21498, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "Yes your right, but there is something we have to do before that", "session_id": 21498, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "ok what is it?", "session_id": 21498, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "We have to group the equation into two sets of two terms", "session_id": 21498, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "Can you figure out what the two groups are?", "session_id": 21498, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "well maybe -7x and -35 because they are both negative", "session_id": 21498, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "Good idea, but I was thinking of 4xy and -7x, and 20y and -35", "session_id": 21498, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "oh ok", "session_id": 21498, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "Actually your idea also works", "session_id": 21498, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "So let's do that pne", "session_id": 21498, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "one", "session_id": 21498, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "ok", "session_id": 21498, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "So when grouped up it'll look like this", "session_id": 21498, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "ok", "session_id": 21498, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "Starting with the left one, what can we factor out?", "session_id": 21498, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "could we factor out x?", "session_id": 21498, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "Good idea, but because there isn't an x in 20y we can't factor out x", "session_id": 21498, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "Is there something else you see we might be able to factor out?", "session_id": 21498, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "oh ok so then y?", "session_id": 21498, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "Correct!", "session_id": 21498, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "However", "session_id": 21498, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "There is something else we can factor out with y", "session_id": 21498, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "Can you see it?", "session_id": 21498, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "I see you labeled the answer choices", "session_id": 21498, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "Yup, but back to the question at hand, what else can we factor out with y?", "session_id": 21498, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "5?", "session_id": 21498, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "Why do you think that?", "session_id": 21498, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "oops I mean 4 sorry", "session_id": 21498, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "That's Correct!", "session_id": 21498, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "Then it turns into", "session_id": 21498, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "Now onto the right side", "session_id": 21498, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "What can we factor out to make the inside of the parenthesis the same as on the left side?", "session_id": 21498, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "-7?", "session_id": 21498, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "Correct!", "session_id": 21498, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "And when that's factored out it looks like this", "session_id": 21498, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "Do you know the final step?", "session_id": 21498, "sequence_id": 49, "annotations": []}
{"role": "student", "content": "i don't know, sorry", "session_id": 21498, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "That's fine", "session_id": 21498, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "We first group up the outside factors like this", "session_id": 21498, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "And multiply them by the inside of the parenthesis", "session_id": 21498, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "Do you understand this?", "session_id": 21498, "sequence_id": 54, "annotations": []}
{"role": "student", "content": "i did until the last think you did", "session_id": 21498, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "Okay", "session_id": 21498, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "What don't you understand about it?", "session_id": 21498, "sequence_id": 57, "annotations": []}
{"role": "student", "content": "just what you are doing", "session_id": 21498, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "Okay", "session_id": 21498, "sequence_id": 59, "annotations": []}
{"role": "student", "content": "sorry", "session_id": 21498, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "It's fine", "session_id": 21498, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "Are you fine with me providing an example with variables?", "session_id": 21498, "sequence_id": 62, "annotations": []}
{"role": "student", "content": "sur", "session_id": 21498, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "Not an example", "session_id": 21498, "sequence_id": 64, "annotations": []}
{"role": "student", "content": "sure", "session_id": 21498, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "More like a formula", "session_id": 21498, "sequence_id": 66, "annotations": []}
{"role": "student", "content": "that works too", "session_id": 21498, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "Does this formula make sense?", "session_id": 21498, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "Sorry", "session_id": 21498, "sequence_id": 69, "annotations": []}
{"role": "student", "content": "its okay", "session_id": 21498, "sequence_id": 70, "annotations": []}
{"role": "student", "content": "i think so", "session_id": 21498, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "Do you see how I got my result from the actual problem now?", "session_id": 21498, "sequence_id": 72, "annotations": []}
{"role": "student", "content": "a little", "session_id": 21498, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "I changed the x+y to c+d so as not to confuse with coordinates", "session_id": 21498, "sequence_id": 74, "annotations": []}
{"role": "student", "content": "well are you grouping like thinks?", "session_id": 21498, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "Please explain what you mean by that", "session_id": 21498, "sequence_id": 76, "annotations": []}
{"role": "student", "content": "well when you rearachanged the problem what specific things are you doing, combining, subtraction, addition, etc.", "session_id": 21498, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "I'm just seeing what two groups when something is factored out of each create the same inside", "session_id": 21498, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "If that makes sense", "session_id": 21498, "sequence_id": 79, "annotations": []}
{"role": "student", "content": "i guess so", "session_id": 21498, "sequence_id": 80, "annotations": []}
{"role": "volunteer", "content": "Sorry, it's hard to explain", "session_id": 21498, "sequence_id": 81, "annotations": []}
{"role": "volunteer", "content": "But now that we have out answer, what choice is correct?", "session_id": 21498, "sequence_id": 82, "annotations": []}
{"role": "student", "content": "A?", "session_id": 21498, "sequence_id": 83, "annotations": []}
{"role": "volunteer", "content": "Yup!", "session_id": 21498, "sequence_id": 84, "annotations": []}
{"role": "student", "content": "Yay thank you!", "session_id": 21498, "sequence_id": 85, "annotations": []}
{"role": "student", "content": "I actually have to go now, I am sorry but thank you for your help have a great day", "session_id": 21498, "sequence_id": 86, "annotations": []}
{"role": "volunteer", "content": "Your welcome", "session_id": 21498, "sequence_id": 87, "annotations": []}
{"role": "volunteer", "content": "Same, I do as well", "session_id": 21498, "sequence_id": 88, "annotations": []}
{"role": "student", "content": "Hi I need my question answered ", "session_id": 21502, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "yes sure!", "session_id": 21502, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "do u want to paste it on the board?", "session_id": 21502, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "Thank you yes I will ", "session_id": 21502, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "Can you see", "session_id": 21502, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "btw, what math are u in? I am asking because there are different degree to a concept that u may need to know", "session_id": 21502, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "i can see", "session_id": 21502, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "Precalc", "session_id": 21502, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "alr", "session_id": 21502, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "give me a sec so i can solve", "session_id": 21502, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "Liam ", "session_id": 21502, "sequence_id": 10, "annotations": [{"pii_type": "PERSON", "surrogate": "Liam", "start": 0, "end": 4}]}
{"role": "volunteer", "content": "do u know these 2 formulas", "session_id": 21502, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "Kind of", "session_id": 21502, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "well, u should write it down because this problem is based on that", "session_id": 21502, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "Oh ok", "session_id": 21502, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "I will do that ", "session_id": 21502, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "we uset his to convert polar cordinates to x and y", "session_id": 21502, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "lemme know once u have it down, so i can show u the first step", "session_id": 21502, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "I wrote them down ", "session_id": 21502, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "Can you show me the process in the painting section ", "session_id": 21502, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "yup!", "session_id": 21502, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "does this makes sense so far?", "session_id": 21502, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "Yes it\u2019s clicking ", "session_id": 21502, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "alright", "session_id": 21502, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "i want u to do the same with v and w and write what u get for each on the screen", "session_id": 21502, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "if u are stuck, lemme know", "session_id": 21502, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "Ok I will right it out first so one min ", "session_id": 21502, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "sure", "session_id": 21502, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "take ur time", "session_id": 21502, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "I put it in ", "session_id": 21502, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "is that for v?", "session_id": 21502, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "Yes I\u2019m working on w ", "session_id": 21502, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "wait before u move to w", "session_id": 21502, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "could u explain how u got those answer", "session_id": 21502, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "I\u2019ll draw my process ", "session_id": 21502, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "alr", "session_id": 21502, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "I messed up on y a little ", "session_id": 21502, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "But that\u2019s my process ", "session_id": 21502, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "wait try typing it into the calculator again", "session_id": 21502, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "put it all toghther by doing 13 *cos (90)", "session_id": 21502, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "I got 11.621 for y ", "session_id": 21502, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "And -5.824 for x", "session_id": 21502, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "can u check what mode u are in", "session_id": 21502, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "u should be in degree mode", "session_id": 21502, "sequence_id": 43, "annotations": []}
{"role": "student", "content": "Normal", "session_id": 21502, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "I don\u2019t know how to do that ", "session_id": 21502, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "Im using ti 84", "session_id": 21502, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "the graphing calculator right?", "session_id": 21502, "sequence_id": 47, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 21502, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "There is a \"MODE\" button next to the 2nd", "session_id": 21502, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "click that", "session_id": 21502, "sequence_id": 50, "annotations": []}
{"role": "student", "content": "Ok I did", "session_id": 21502, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "and on the 3rd line, where it is saying radian or degree tell me the one it is highlited", "session_id": 21502, "sequence_id": 52, "annotations": []}
{"role": "student", "content": "Radian ", "session_id": 21502, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "yup thought so", "session_id": 21502, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "i want u to press the right key", "session_id": 21502, "sequence_id": 55, "annotations": []}
{"role": "student", "content": "Done", "session_id": 21502, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "and click enter", "session_id": 21502, "sequence_id": 57, "annotations": []}
{"role": "student", "content": "Done ", "session_id": 21502, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "trun the calc off and on again", "session_id": 21502, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "and after that u can retype the math in there and it should give the right answer", "session_id": 21502, "sequence_id": 60, "annotations": []}
{"role": "student", "content": "Ok x is 0 and y is 13", "session_id": 21502, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "yup", "session_id": 21502, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "the theta here is 90 degrrees so u have to make sure u are in degrees and not radians", "session_id": 21502, "sequence_id": 63, "annotations": []}
{"role": "student", "content": "Ohh ok ", "session_id": 21502, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "a radian angle would usually have a pi next to it, but since this doesn't we know it should be a degree", "session_id": 21502, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "but now that u got it right, try the w", "session_id": 21502, "sequence_id": 66, "annotations": []}
{"role": "student", "content": "6.077 x", "session_id": 21502, "sequence_id": 67, "annotations": []}
{"role": "student", "content": "-35.468 y", "session_id": 21502, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "y is -34.47 so close enough", "session_id": 21502, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "i think u might have miss typed on the keyboard", "session_id": 21502, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "but yes", "session_id": 21502, "sequence_id": 71, "annotations": []}
{"role": "student", "content": "Ok great", "session_id": 21502, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "now, ill write 2 more formulas and lemme know if u know them", "session_id": 21502, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "wait before that", "session_id": 21502, "sequence_id": 74, "annotations": []}
{"role": "volunteer", "content": "lets sum all the xs toghther and the ys toghther", "session_id": 21502, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "let me know what u get", "session_id": 21502, "sequence_id": 76, "annotations": []}
{"role": "student", "content": "X 53.057\nY -4.37", "session_id": 21502, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "great!", "session_id": 21502, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "let me write the 2 formulas now", "session_id": 21502, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "please write it down along with me", "session_id": 21502, "sequence_id": 80, "annotations": []}
{"role": "volunteer", "content": "and let me know once u are done writing", "session_id": 21502, "sequence_id": 81, "annotations": []}
{"role": "student", "content": "Ok but was my original answer wrong ", "session_id": 21502, "sequence_id": 82, "annotations": []}
{"role": "volunteer", "content": "which one", "session_id": 21502, "sequence_id": 83, "annotations": []}
{"role": "volunteer", "content": "the one u wrote next to the question / u did before we changed the mode?", "session_id": 21502, "sequence_id": 84, "annotations": []}
{"role": "student", "content": "Hi I think our connection may be lost ", "session_id": 21502, "sequence_id": 85, "annotations": []}
{"role": "volunteer", "content": "hey, i don't know what happened there, but if u send another request, ill help u finish it up", "session_id": 21502, "sequence_id": 86, "annotations": []}
{"role": "volunteer", "content": "i saw ur request but it ended before i could click, try sending one more", "session_id": 21502, "sequence_id": 87, "annotations": []}
{"role": "student", "content": "Maria", "session_id": 21518, "sequence_id": 0, "annotations": [{"pii_type": "PERSON", "surrogate": "Maria", "start": 0, "end": 5}]}
{"role": "student", "content": "Hi", "session_id": 21518, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "hi what would you like help with?", "session_id": 21518, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "A question I'll put it on the board", "session_id": 21518, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "great", "session_id": 21518, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "Can you see it", "session_id": 21518, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 21518, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "Ok the one on top I'm struggling with b", "session_id": 21518, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 21518, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "since you found the value of a, you should use u-sub to get the indef integral, and then you plug in the bounds to get the def integral", "session_id": 21518, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "Ok", "session_id": 21518, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "also, for future reference, this is beyond the scope of integrated mathematics one", "session_id": 21518, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "Oh is it 2", "session_id": 21518, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "this is calculus ab", "session_id": 21518, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "Oh ok", "session_id": 21518, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "did you get the answer?", "session_id": 21518, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "Not quite", "session_id": 21518, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "what part of the problem are you doing?", "session_id": 21518, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "B", "session_id": 21518, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "have you tried using the value of A in part A and doing partial fractions?", "session_id": 21518, "sequence_id": 19, "annotations": []}
{"role": "student", "content": ". Yes", "session_id": 21518, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "I'm only getting 8+4 over 3ln4", "session_id": 21518, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "ln4 is the same as 2ln(2)", "session_id": 21518, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "so you got the correct answer", "session_id": 21518, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "Oh so I  can I leave it in this form or should I leave it in the exact form they asked for", "session_id": 21518, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "It's equivalent, so you can leave it in that form, but since the problem asks you to show that they are equal, you should give the exact form", "session_id": 21518, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "Oh OK thank you", "session_id": 21518, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "Do you need help with another problem?", "session_id": 21518, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 21518, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "Please post it", "session_id": 21518, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "Ok", "session_id": 21518, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "It's taking long to load", "session_id": 21518, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "Question 2", "session_id": 21518, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "you need to find the bounds of integration", "session_id": 21518, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "For a I'm getting - e^p-1", "session_id": 21518, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "+1 not minus 1", "session_id": 21518, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "that is correct", "session_id": 21518, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "it should be -p", "session_id": 21518, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "It is but b is confusing for me", "session_id": 21518, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "you set the integral equal to 1, since that is the area of r, then you solve for p", "session_id": 21518, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "Yes but I'm not getting it", "session_id": 21518, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "not getting the value of p? or not understanding how it works?", "session_id": 21518, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "Not getting p", "session_id": 21518, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "check your work for your original integral for part a", "session_id": 21518, "sequence_id": 43, "annotations": []}
{"role": "student", "content": "I did", "session_id": 21518, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "for part a you should have got p+1+e^(-p)", "session_id": 21518, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "Why +p", "session_id": 21518, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "because the integral of 1-e^(-x) is x+e^(-x)", "session_id": 21518, "sequence_id": 47, "annotations": []}
{"role": "student", "content": "But we were only finding for e^-x", "session_id": 21518, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "we were finding the whole area of r, not just the e^(-x)", "session_id": 21518, "sequence_id": 49, "annotations": []}
{"role": "student", "content": "Ok", "session_id": 21518, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "does that make sense?", "session_id": 21518, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "Just write it all on the board", "session_id": 21518, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "I did it", "session_id": 21518, "sequence_id": 53, "annotations": []}
{"role": "student", "content": "I get that part what I don't get is where you got 1-e^-x from", "session_id": 21518, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "we want to find the area of R, which is the region bounded by y = 1 and e^-x", "session_id": 21518, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "just taking the integral of e^-x will give us the area under the curve, which is not what we want", "session_id": 21518, "sequence_id": 56, "annotations": []}
{"role": "student", "content": "Oh I get it now", "session_id": 21518, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "okay! will there be anything else today", "session_id": 21518, "sequence_id": 58, "annotations": []}
{"role": "student", "content": "No thank you", "session_id": 21518, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "alright have a nice day!", "session_id": 21518, "sequence_id": 60, "annotations": []}
{"role": "student", "content": "I need help with a question ", "session_id": 21521, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "Can you tell me the question?", "session_id": 21521, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "Can I post in chat ", "session_id": 21521, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "Yes please", "session_id": 21521, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "It is posted ", "session_id": 21521, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 21521, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "your answer is correct", "session_id": 21521, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "Ok thank you can I ask another question please ", "session_id": 21521, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "I just need answer checked ", "session_id": 21521, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "sure", "session_id": 21521, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "They are uploaded thank you", "session_id": 21521, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "I don't see it", "session_id": 21521, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "I see it now", "session_id": 21521, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "how did you get the first option", "session_id": 21521, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "Hello", "session_id": 21602, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "hi", "session_id": 21602, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "How did you get that?", "session_id": 21602, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "ok so we foctor the top and bottom of the fraction first", "session_id": 21602, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "then we look fir what is common on the top and bottom snd we can cross them out", "session_id": 21602, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "Ohh I see ok", "session_id": 21602, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "And what does this say..?", "session_id": 21602, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "add to 7, multiply to 6\nthat is how i factored to bottom", "session_id": 21602, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "Oh ok", "session_id": 21602, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "\ud83d\udc4d", "session_id": 21602, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "do you need any help?", "session_id": 21602, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "Can you explain both", "session_id": 21602, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "?", "session_id": 21602, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "yes so first for number 3 i canceled out the x-3 since it is on both the top and bottom. then i factored the to and bottom. 4 was common on the top so i took it out. on the bottom 5 was common so i took it out. once it factored bith i saw that we have x+4 on the top and bottom so we can cancel them leaving 4/5", "session_id": 21602, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "for number 2 first factor the top and bottom of that FIRST Fraction. SO the top would be (x+9)(x-4). The bottom is (x-9)(x-9). Ten we have an x+9 on both the top and bottom so we cancel them", "session_id": 21602, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "AFTER, since we are Division I do KCF and make the division multiplication. by bringing x^2-16 to the bottom.", "session_id": 21602, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "Then once at teh botton we factor and get (x-4)(x+4). We can then cancel x-4 as it is on both the top and baootom.. This leaves what we have remaining", "session_id": 21602, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "Let me knwo if anything dosent not make sense!", "session_id": 21602, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "This is a.. 4, corret", "session_id": 21602, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "*this is a 4?", "session_id": 21602, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 21602, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "Ok", "session_id": 21602, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "Wait what happened to the 9?", "session_id": 21602, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "nothing taht is still their", "session_id": 21602, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "my handwriting waas off", "session_id": 21602, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "Ok", "session_id": 21602, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "should i put up another one or do you  have one", "session_id": 21602, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "I don\u2019t", "session_id": 21602, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "do you see numner 3", "session_id": 21602, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "i mena 4", "session_id": 21602, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "scroll on the right side", "session_id": 21602, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "Ok", "session_id": 21602, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "do u need help", "session_id": 21602, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "Yea", "session_id": 21602, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "ok si lets tsrat by factroing the top. how can we split (x-4)^2", "session_id": 21602, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "(x-4)(x-4)", "session_id": 21602, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "?", "session_id": 21602, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "close", "session_id": 21602, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "4x4 is 16 though", "session_id": 21602, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "2x2 gives us ...", "session_id": 21602, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "4", "session_id": 21602, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "YES", "session_id": 21602, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "Now do the next step", "session_id": 21602, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "Good now wriet teh full answer", "session_id": 21602, "sequence_id": 43, "annotations": []}
{"role": "student", "content": "Liam", "session_id": 21602, "sequence_id": 44, "annotations": [{"pii_type": "PERSON", "surrogate": "Liam", "start": 0, "end": 4}]}
{"role": "volunteer", "content": "NO good i was saying to write the full asnwer. CORRECT!!!!!!!!!!!!!!!!", "session_id": 21602, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "Lets do one last", "session_id": 21602, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "Okayy", "session_id": 21602, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "Try", "session_id": 21602, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "Ok", "session_id": 21602, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "wait what happend to the x^2", "session_id": 21602, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "you cant ignore that term", "session_id": 21602, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "do bottom", "session_id": 21602, "sequence_id": 52, "annotations": []}
{"role": "student", "content": "Ok", "session_id": 21602, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "great", "session_id": 21602, "sequence_id": 54, "annotations": []}
{"role": "student", "content": "That\u2019s it?", "session_id": 21602, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "yup", "session_id": 21602, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "nothing to cancel", "session_id": 21602, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "that it full credit", "session_id": 21602, "sequence_id": 58, "annotations": []}
{"role": "student", "content": "Okay", "session_id": 21602, "sequence_id": 59, "annotations": []}
{"role": "student", "content": "This a 7?", "session_id": 21602, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "ye", "session_id": 21602, "sequence_id": 61, "annotations": []}
{"role": "student", "content": "K", "session_id": 21602, "sequence_id": 62, "annotations": []}
{"role": "student", "content": "Do u use FOIL for the numerator", "session_id": 21602, "sequence_id": 63, "annotations": []}
{"role": "student", "content": "Hello?", "session_id": 21602, "sequence_id": 64, "annotations": []}
{"role": "student", "content": "Uhm", "session_id": 21602, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "Hello, how can I help you today?", "session_id": 21596, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "Hi, can you please help me with a question", "session_id": 21596, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "sure put it up", "session_id": 21596, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "would you like a step by step once you put it up?", "session_id": 21596, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "Ok it's question 2", "session_id": 21596, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 21596, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 21596, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "do you need help with A or B?", "session_id": 21596, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "or both?", "session_id": 21596, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "Both", "session_id": 21596, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 21596, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "give me a sec to solve and i will pics of it up when im ready", "session_id": 21596, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "ok my work and solution are now up on the board. if you have any questions feel free to ask", "session_id": 21596, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "Oh no question thank you", "session_id": 21596, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "any other questions you need help with?", "session_id": 21596, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "No thank you so much", "session_id": 21596, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "ok then have a good day!", "session_id": 21596, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "Hi!", "session_id": 21532, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "Hi", "session_id": 21532, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "Welcome to Tutor Provider!", "session_id": 21532, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "Bye.", "session_id": 21532, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "How can I help?", "session_id": 21532, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "Uh, I just wanna learn a bit of", "session_id": 21532, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "8th grade math.", "session_id": 21532, "sequence_id": 6, "annotations": [{"pii_type": "GRADE_LEVEL", "surrogate": "8th grade", "start": 0, "end": 9}]}
{"role": "volunteer", "content": "Sorry, but I cannot use the microphone feature right now.", "session_id": 21532, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "Uh, can you?", "session_id": 21532, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "You, your mic.", "session_id": 21532, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "Oh, OK.", "session_id": 21532, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "Please use the chat.", "session_id": 21532, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "Oh okay", "session_id": 21532, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "Hi", "session_id": 21532, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "Which grade are you in currently?", "session_id": 21532, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "im going to 9th grade", "session_id": 21532, "sequence_id": 15, "annotations": [{"pii_type": "GRADE_LEVEL", "surrogate": "9th grade", "start": 12, "end": 21}]}
{"role": "volunteer", "content": "OK, so how can I help?", "session_id": 21532, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "Can you teach me 9th grade math please", "session_id": 21532, "sequence_id": 17, "annotations": [{"pii_type": "GRADE_LEVEL", "surrogate": "9th grade", "start": 17, "end": 26}]}
{"role": "volunteer", "content": "Yes, let us look at the main topics. Alright?", "session_id": 21532, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "Okay", "session_id": 21532, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "Let us start with #1.", "session_id": 21532, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "Okay", "session_id": 21532, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "Let me actually share a PowerPoint with you.", "session_id": 21532, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "Do you know how to add/subtract fractions?", "session_id": 21532, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 21532, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "Do you have any questions on anything on this slide?", "session_id": 21532, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "No", "session_id": 21532, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "OK!", "session_id": 21532, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "any questions so far?", "session_id": 21532, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "This is review material.", "session_id": 21532, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "Okay", "session_id": 21532, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "Do you know how we multiply fractions?", "session_id": 21532, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "I think", "session_id": 21532, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "OK, let me show you. Alright?", "session_id": 21532, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "1/2", "session_id": 21532, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "Yes, correct.", "session_id": 21532, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "Now how do we simplify that?", "session_id": 21532, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "Good work!", "session_id": 21532, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "I think you have mastered the multiplying fractions. What do you think? Would you like to do more practice?", "session_id": 21532, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "Sure", "session_id": 21532, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "I think I mastered it", "session_id": 21532, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 21532, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "great then", "session_id": 21532, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "Write this in fraction form.", "session_id": 21532, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "This is all still review.", "session_id": 21532, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "I don\u2019t think I know how to divide fractions", "session_id": 21532, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "Oh, OK!", "session_id": 21532, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "Ohhh", "session_id": 21532, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "Do you understand how we do it?", "session_id": 21532, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "Can I try to do 1", "session_id": 21532, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "Sure, let me give you a practice problem.", "session_id": 21532, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "Good work!", "session_id": 21532, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "Do you know how to do these problems:", "session_id": 21532, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "with decimals", "session_id": 21532, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "multiplication", "session_id": 21532, "sequence_id": 54, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 21532, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "OK, mastered?", "session_id": 21532, "sequence_id": 56, "annotations": []}
{"role": "student", "content": "Yep", "session_id": 21532, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "There is a mistake there", "session_id": 21532, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "Did you catch it? Or should I show?", "session_id": 21532, "sequence_id": 59, "annotations": []}
{"role": "student", "content": "Can u show", "session_id": 21532, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "Absolutely!", "session_id": 21532, "sequence_id": 61, "annotations": []}
{"role": "student", "content": "Ohhhhh I forgot about that extra digit in the 2nd part", "session_id": 21532, "sequence_id": 62, "annotations": []}
{"role": "student", "content": "Hi", "session_id": 21532, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "Let me share the presentation", "session_id": 21532, "sequence_id": 64, "annotations": []}
{"role": "student", "content": "Okay", "session_id": 21532, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "That is the URL link", "session_id": 21532, "sequence_id": 66, "annotations": []}
{"role": "student", "content": "Do I click it", "session_id": 21532, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "If clicking does not work, you can just paste it into your browser.", "session_id": 21532, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "Let me show you a demo.", "session_id": 21532, "sequence_id": 69, "annotations": []}
{"role": "student", "content": "How do I copy it", "session_id": 21532, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "Can you see my screen?", "session_id": 21532, "sequence_id": 71, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 21532, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "press Ctrl and A at the same time", "session_id": 21532, "sequence_id": 73, "annotations": []}
{"role": "student", "content": "I\u2019m on iPad", "session_id": 21532, "sequence_id": 74, "annotations": []}
{"role": "volunteer", "content": "OK, in that case, triple click that link", "session_id": 21532, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "or until it has been selected", "session_id": 21532, "sequence_id": 76, "annotations": []}
{"role": "student", "content": "https://example.com/slides", "session_id": 21532, "sequence_id": 77, "annotations": [{"pii_type": "URL", "surrogate": "https://example.com/slides", "start": 0, "end": 26}]}
{"role": "volunteer", "content": "You have copied it?", "session_id": 21532, "sequence_id": 78, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 21532, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "Now, go to chrome or safari", "session_id": 21532, "sequence_id": 80, "annotations": []}
{"role": "volunteer", "content": "a browser", "session_id": 21532, "sequence_id": 81, "annotations": []}
{"role": "student", "content": "I opened it", "session_id": 21532, "sequence_id": 82, "annotations": []}
{"role": "volunteer", "content": "and paste it", "session_id": 21532, "sequence_id": 83, "annotations": []}
{"role": "volunteer", "content": "Do you see the slide deck?", "session_id": 21532, "sequence_id": 84, "annotations": []}
{"role": "volunteer", "content": "Would you like to see other presentations so you can learn on your own time?", "session_id": 21532, "sequence_id": 85, "annotations": []}
{"role": "student", "content": "Sure", "session_id": 21532, "sequence_id": 86, "annotations": []}
{"role": "volunteer", "content": "Let me share the links with you.", "session_id": 21532, "sequence_id": 87, "annotations": []}
{"role": "volunteer", "content": "Take your time, and use these links.", "session_id": 21532, "sequence_id": 88, "annotations": []}
{"role": "volunteer", "content": "I have to leave now, but please use the links, and I will wait until then.", "session_id": 21532, "sequence_id": 89, "annotations": []}
{"role": "student", "content": "Okay", "session_id": 21532, "sequence_id": 90, "annotations": []}
{"role": "student", "content": "Hi I need help with algebraic expressions with z", "session_id": 21649, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "X", "session_id": 21649, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "ok sounds good", "session_id": 21649, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "X= 2", "session_id": 21649, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "correct!", "session_id": 21649, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "X = 40", "session_id": 21649, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "correct! another one", "session_id": 21649, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "5x = 205", "session_id": 21649, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "not quite", "session_id": 21649, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "X = 41", "session_id": 21649, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "correct!", "session_id": 21649, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "yes!", "session_id": 21649, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "perfect!", "session_id": 21649, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "correct!", "session_id": 21649, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "great job", "session_id": 21649, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "great work!", "session_id": 21649, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "lets do another!", "session_id": 21649, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "great job lets continue!", "session_id": 21649, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "you are doing great!", "session_id": 21649, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "greeat job", "session_id": 21649, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "Liam for the help today !!", "session_id": 21649, "sequence_id": 20, "annotations": [{"pii_type": "PERSON", "surrogate": "Liam", "start": 0, "end": 4}]}
{"role": "volunteer", "content": "anytime! lmk if you need any more help soon!!", "session_id": 21649, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "hi! how can help you today?", "session_id": 21610, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "Hi!Can you help me with pre algebra?", "session_id": 21610, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "Are you there??", "session_id": 21610, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "yes! what problems are you facing?", "session_id": 21610, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "I don\u2019t know anything about pre algebra and i would like too learn.", "session_id": 21610, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "do you know any basics?", "session_id": 21610, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "Yes I know Addition,Subtraction and multiplication but still a bit foggy", "session_id": 21610, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "ok so we'll build the basics from there", "session_id": 21610, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "Okay", "session_id": 21610, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "can you give me an example of the question you can solve of pre alegra before we start?", "session_id": 21610, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "No I can\u2019t, I don\u2019t know anything about pre algebra and I would like to learn how to do it .", "session_id": 21610, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "okay!", "session_id": 21610, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "so we will start with basic questions like factor pairs", "session_id": 21610, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "Okay", "session_id": 21610, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "factor pairs are basically numbers that can be multiplied together to make some number", "session_id": 21610, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "Oh okay", "session_id": 21610, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "so for instance if we multiply 2 and 3 we get 6", "session_id": 21610, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "therefore 2 and 3 are factor pairs", "session_id": 21610, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "Okay", "session_id": 21610, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "can you give me an example of what you think could be factor pairs?", "session_id": 21610, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "Can it be something like 4 times 3??", "session_id": 21610, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "yes, it can be! but what are the numbers a factor pair for?", "session_id": 21610, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "like 2 and 3 are the factor pair for 6", "session_id": 21610, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "what would 4 and 3 be a factor pair for?", "session_id": 21610, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "12?", "session_id": 21610, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "yes!!", "session_id": 21610, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "can you give me another example before we move forward?", "session_id": 21610, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "Something like 3 times 3, and it would be a factor pair for 9?", "session_id": 21610, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "perfect!!", "session_id": 21610, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "good job!", "session_id": 21610, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "Thank you", "session_id": 21610, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "now, a number can have multiple factor pairs", "session_id": 21610, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "for instance let's take a larger number like 12", "session_id": 21610, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "now 12 can have many factor pairs like (12 and 1) or (6 and 2) or (3 and 4)", "session_id": 21610, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "the brackets are there to just separate the factor pairs there is no need to actually include them when writing", "session_id": 21610, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "Okay", "session_id": 21610, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "can you now give me an example of a number with multiple factor pairs?", "session_id": 21610, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "take the number 24", "session_id": 21610, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "6 times 4 , 8 times 3 , 2 times 12?", "session_id": 21610, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "yes!!! and 24 times 1 but you get the idea", "session_id": 21610, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "good job", "session_id": 21610, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "Thank you", "session_id": 21610, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "now for a number we can think about it in terms of area", "session_id": 21610, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "how can we make a rectangle with area 6?", "session_id": 21610, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "well you could do it it it is 2 units by 3 units", "session_id": 21610, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "Can I also do 6 units by 1 unit??", "session_id": 21610, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "yes!!!", "session_id": 21610, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "i am sorry about how messy it looks", "session_id": 21610, "sequence_id": 47, "annotations": []}
{"role": "student", "content": "That\u2019s okay", "session_id": 21610, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "that makes it a area of 6", "session_id": 21610, "sequence_id": 49, "annotations": []}
{"role": "student", "content": "Okay", "session_id": 21610, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "so instead of doing this tiering process of making boxes to figure out the factor pairs of a number we can make a table to help us solve it faster", "session_id": 21610, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "so now what do you think could be the smallest factor of 64", "session_id": 21610, "sequence_id": 52, "annotations": []}
{"role": "student", "content": "1 times 64? That\u2019s the easiest one i can think of", "session_id": 21610, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "perfect!!!!", "session_id": 21610, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "yes!", "session_id": 21610, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "now what do you think could be the next factor?", "session_id": 21610, "sequence_id": 56, "annotations": []}
{"role": "student", "content": "8 times 8?", "session_id": 21610, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "good!! ver good! but do you think 2 times 32 would also go in there??", "session_id": 21610, "sequence_id": 58, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 21610, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "great job!! here is a hint when trying these kind of questions, i want you to count from 1 and up and consider if the number is divisible by it", "session_id": 21610, "sequence_id": 60, "annotations": []}
{"role": "student", "content": "Sorry you lost me can you explain it a bit more simpler?", "session_id": 21610, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "Hello?", "session_id": 21610, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "ok so lets try this in a different way", "session_id": 21610, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "what all numbers can you think of that will divide 64 into a natural number?", "session_id": 21610, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "let take a smaller number to start with", "session_id": 21610, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "how about 40?", "session_id": 21610, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "or would you prefer a smaller number?", "session_id": 21610, "sequence_id": 67, "annotations": []}
{"role": "student", "content": "I can try 40 !", "session_id": 21610, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "yay!! let try", "session_id": 21610, "sequence_id": 69, "annotations": []}
{"role": "student", "content": "Would it be something like 5 times 8??", "session_id": 21610, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "yes!", "session_id": 21610, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "but what if you started with the first smallest factor? like 1?", "session_id": 21610, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "remember 1 will always be factor of any given number", "session_id": 21610, "sequence_id": 73, "annotations": []}
{"role": "student", "content": "Okay", "session_id": 21610, "sequence_id": 74, "annotations": []}
{"role": "volunteer", "content": "so what will be 1's factor pair?", "session_id": 21610, "sequence_id": 75, "annotations": []}
{"role": "student", "content": "1 times 1", "session_id": 21610, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "no... i am sorry, allow me to rephrase. \nwhat will be 1's factor pair to get the number 40", "session_id": 21610, "sequence_id": 77, "annotations": []}
{"role": "student", "content": "1 times 40???", "session_id": 21610, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "yes!!!!", "session_id": 21610, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "great job!", "session_id": 21610, "sequence_id": 80, "annotations": []}
{"role": "volunteer", "content": "would you like to visit factor pairs once again?", "session_id": 21610, "sequence_id": 81, "annotations": []}
{"role": "student", "content": "Yes!this is very interesting and I would like to do some more", "session_id": 21610, "sequence_id": 82, "annotations": []}
{"role": "volunteer", "content": "okay!!", "session_id": 21610, "sequence_id": 83, "annotations": []}
{"role": "volunteer", "content": "pick a number of your liking you would like us to solve together", "session_id": 21610, "sequence_id": 84, "annotations": []}
{"role": "student", "content": "The number 20", "session_id": 21610, "sequence_id": 85, "annotations": []}
{"role": "volunteer", "content": "okay!!", "session_id": 21610, "sequence_id": 86, "annotations": []}
{"role": "volunteer", "content": "factor pairs are basically numbers that can be multiplied together to make some number \nso in this instance we want to get the number 20", "session_id": 21610, "sequence_id": 87, "annotations": []}
{"role": "volunteer", "content": "so what 2 numbers would you multiply to get the number 20?", "session_id": 21610, "sequence_id": 88, "annotations": []}
{"role": "student", "content": "Can I say multiple answers for this one ?", "session_id": 21610, "sequence_id": 89, "annotations": []}
{"role": "volunteer", "content": "yes!!!", "session_id": 21610, "sequence_id": 90, "annotations": []}
{"role": "student", "content": "Okay! We have 1 times 20 , 4 times 5 , 10 times 2", "session_id": 21610, "sequence_id": 91, "annotations": []}
{"role": "volunteer", "content": "perfect answer!!!", "session_id": 21610, "sequence_id": 92, "annotations": []}
{"role": "volunteer", "content": "great job!!", "session_id": 21610, "sequence_id": 93, "annotations": []}
{"role": "volunteer", "content": "now would you like to try another number??", "session_id": 21610, "sequence_id": 94, "annotations": []}
{"role": "student", "content": "The number 36", "session_id": 21610, "sequence_id": 95, "annotations": []}
{"role": "volunteer", "content": "okay!!!", "session_id": 21610, "sequence_id": 96, "annotations": []}
{"role": "student", "content": "We have 9 times 4 , 6 times 6 and 1 times 36", "session_id": 21610, "sequence_id": 97, "annotations": []}
{"role": "volunteer", "content": "yes! but also 2 times 13, and 3 times 12", "session_id": 21610, "sequence_id": 98, "annotations": []}
{"role": "student", "content": "Oh right", "session_id": 21610, "sequence_id": 99, "annotations": []}
{"role": "volunteer", "content": "you did good though! great now would you like to try another number?", "session_id": 21610, "sequence_id": 100, "annotations": []}
{"role": "student", "content": "No thank you, I feel like I have learned a lot but I would like to pause!", "session_id": 21610, "sequence_id": 101, "annotations": []}
{"role": "volunteer", "content": "okay!!", "session_id": 21610, "sequence_id": 102, "annotations": []}
{"role": "volunteer", "content": "i hope i was able to help a little and make you feel less stressed about pre algebra", "session_id": 21610, "sequence_id": 103, "annotations": []}
{"role": "volunteer", "content": "it was a pleasure helping you", "session_id": 21610, "sequence_id": 104, "annotations": []}
{"role": "student", "content": "Yes you did thank you! But I have a quick question", "session_id": 21610, "sequence_id": 105, "annotations": []}
{"role": "volunteer", "content": "yes go ahead", "session_id": 21610, "sequence_id": 106, "annotations": []}
{"role": "student", "content": "Are you a male or a female? I don\u2019t wanna get you\u2019re gender wrong", "session_id": 21610, "sequence_id": 107, "annotations": []}
{"role": "volunteer", "content": "a female", "session_id": 21610, "sequence_id": 108, "annotations": []}
{"role": "volunteer", "content": "why?\nwas something amiss while i was helping you out?", "session_id": 21610, "sequence_id": 109, "annotations": []}
{"role": "student", "content": "Okay thank you!", "session_id": 21610, "sequence_id": 110, "annotations": []}
{"role": "student", "content": "No of course not I was just confused", "session_id": 21610, "sequence_id": 111, "annotations": []}
{"role": "volunteer", "content": "ok great!!!", "session_id": 21610, "sequence_id": 112, "annotations": []}
{"role": "volunteer", "content": "i hope you enjoyed this session!!", "session_id": 21610, "sequence_id": 113, "annotations": []}
{"role": "student", "content": "I did thank you", "session_id": 21610, "sequence_id": 114, "annotations": []}
{"role": "volunteer", "content": "Liam!!!", "session_id": 21610, "sequence_id": 115, "annotations": [{"pii_type": "PERSON", "surrogate": "Liam", "start": 0, "end": 4}]}
{"role": "student", "content": "Bye!!", "session_id": 21610, "sequence_id": 116, "annotations": []}
{"role": "volunteer", "content": "hey i had some material i wanted to pass along if you still need help??", "session_id": 21610, "sequence_id": 117, "annotations": []}
{"role": "volunteer", "content": "Hello", "session_id": 21647, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "Hi! Today I have integration problems", "session_id": 21647, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "They are on the whiteboard", "session_id": 21647, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "I see them.'", "session_id": 21647, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "How may I help you?", "session_id": 21647, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "uh I think I can try the first part but can you stop me if I am doing something wrong?", "session_id": 21647, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 21647, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "I am having trouble reading some of it.  I am not sure about the 2 outside the brackets", "session_id": 21647, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "I just pulled out 2 from the entire equation", "session_id": 21647, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "The answer looks correct", "session_id": 21647, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "Ok Thanks", "session_id": 21647, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "For the next part, do we use the disk method?", "session_id": 21647, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "I see that you did that you skipped a step and I had trouble reading your writing", "session_id": 21647, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "Yeah sorry I was being lazy", "session_id": 21647, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "what is A", "session_id": 21647, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "oops", "session_id": 21647, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "supposed to be V", "session_id": 21647, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "for Volume", "session_id": 21647, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "what is V?", "session_id": 21647, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "Volume", "session_id": 21647, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "this is going to be a washer, right?", "session_id": 21647, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "yea", "session_id": 21647, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "I'm not sure if this is right", "session_id": 21647, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "the volume is going to be an integral", "session_id": 21647, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "since it is a washer, you need to figure out the outside radius and the radius of the hole.", "session_id": 21647, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "Since we are rotating around y =4,", "session_id": 21647, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "the big (outside radius) will be that red line that I drew.", "session_id": 21647, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 21647, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "R= 4-f, so R^2 = (4-f)^2", "session_id": 21647, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "Does that make sense to you?", "session_id": 21647, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "Why does f need to be subtracted from 4?", "session_id": 21647, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "Does that mean the second radius is 4-g?", "session_id": 21647, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "the big radiius is the distance from y=4 to f.  How would you express that distance?", "session_id": 21647, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "Oh I get it", "session_id": 21647, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "Ok", "session_id": 21647, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "Make sense", "session_id": 21647, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "?", "session_id": 21647, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "Yep", "session_id": 21647, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "watch the signs", "session_id": 21647, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "don't forget the dx", "session_id": 21647, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "Ok", "session_id": 21647, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "Would this be enough?", "session_id": 21647, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "I would think so", "session_id": 21647, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "Ok", "session_id": 21647, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "Are you familiar with the method for part c?", "session_id": 21647, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "Yep I kinda forgot it but I'll try", "session_id": 21647, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "You want to figure out what the side of the square would be", "session_id": 21647, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "That green line would be one side of the square. the square would be built on it. Can you visualize that?", "session_id": 21647, "sequence_id": 47, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 21647, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "the side is (g-f) so the volume of the square of thickness dx would be (g-f)^2 dx", "session_id": 21647, "sequence_id": 49, "annotations": []}
{"role": "student", "content": "Oh Ok", "session_id": 21647, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 21647, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "Looks good to me.", "session_id": 21647, "sequence_id": 52, "annotations": []}
{"role": "student", "content": "Ok Thanks for helping me!", "session_id": 21647, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "You are very welcome", "session_id": 21647, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "Have a good week", "session_id": 21647, "sequence_id": 55, "annotations": []}
{"role": "student", "content": "you too!", "session_id": 21647, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "bye", "session_id": 21647, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "hi", "session_id": 21650, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "Hi", "session_id": 21650, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "how can i help today", "session_id": 21650, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "Question 2 I sent it on the board", "session_id": 21650, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "oh wait this is integrals, not integrated math 1", "session_id": 21650, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "So you can't do it", "session_id": 21650, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "i can help", "session_id": 21650, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "Oh ok", "session_id": 21650, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "but if theres something i dont know", "session_id": 21650, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "i will tell u", "session_id": 21650, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "Ok", "session_id": 21650, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "in general tho, just request calc AB or BC", "session_id": 21650, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "ok so show me where u have gone so far with this problem", "session_id": 21650, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "B is where I went completely south", "session_id": 21650, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "should we go over A first?", "session_id": 21650, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 21650, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "ok. put what you have on the board and I will help you along the way if you arent sure", "session_id": 21650, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "I not good at writing on the board", "session_id": 21650, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "ok thats fine", "session_id": 21650, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "u can type here if thats easier", "session_id": 21650, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "For a?", "session_id": 21650, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "yea", "session_id": 21650, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "we need ot find the area before we find the volume", "session_id": 21650, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "I wrote on the board", "session_id": 21650, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "ok great", "session_id": 21650, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "now for part b, we want to basically do the same thing as question 1 but with the y axis", "session_id": 21650, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "so how did you approach it with question 1", "session_id": 21650, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "Question 1 I didn't do it", "session_id": 21650, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "oh ok", "session_id": 21650, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "so there are 2 ways to do this question", "session_id": 21650, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "Ok", "session_id": 21650, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "either integration with respect to y", "session_id": 21650, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "or finding the centroid", "session_id": 21650, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "i think the first one is easier", "session_id": 21650, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "Can you turn on your video cause then I can tell exactly what you mean", "session_id": 21650, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "i cant sorry", "session_id": 21650, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "its really noisy next to me", "session_id": 21650, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "but i can draw it", "session_id": 21650, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "Oh it's fine", "session_id": 21650, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "can you see the drawing", "session_id": 21650, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 21650, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 21650, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "so we want to take both functions", "session_id": 21650, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "and create a semicircle from them", "session_id": 21650, "sequence_id": 43, "annotations": []}
{"role": "student", "content": "Ok", "session_id": 21650, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "which means at every x value of the function, thats a radius of a tiny circle", "session_id": 21650, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "Ok", "session_id": 21650, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "so you do v = pi integral(g(y)^2)", "session_id": 21650, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "where g(y) is that x value", "session_id": 21650, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "idk if that makes sense", "session_id": 21650, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "v = pi integral(g(y)^2) dy", "session_id": 21650, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "forgot the dy at the end", "session_id": 21650, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 21650, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "ok so can you try to do this", "session_id": 21650, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "u can do it on paper or on the board. whatever is easier", "session_id": 21650, "sequence_id": 54, "annotations": []}
{"role": "student", "content": "I tried it on paper but it's still wrong", "session_id": 21650, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "have you heard of the shell method?", "session_id": 21650, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "we can try it that way too if u want", "session_id": 21650, "sequence_id": 57, "annotations": []}
{"role": "student", "content": "Yes I have that's the one I've been trying to use", "session_id": 21650, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "oh ok", "session_id": 21650, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "and the answer isnt matching up?", "session_id": 21650, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "ccan you show me your steps", "session_id": 21650, "sequence_id": 61, "annotations": []}
{"role": "student", "content": "Ok", "session_id": 21650, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "also tell me what you got as the final answer", "session_id": 21650, "sequence_id": 63, "annotations": []}
{"role": "student", "content": "I'll sent it on the board", "session_id": 21650, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 21650, "sequence_id": 65, "annotations": []}
{"role": "student", "content": "It doesn't want to sent", "session_id": 21650, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "its ok", "session_id": 21650, "sequence_id": 67, "annotations": []}
{"role": "student", "content": "Just do it step by step I guess", "session_id": 21650, "sequence_id": 68, "annotations": []}
{"role": "student", "content": "On the board", "session_id": 21650, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "i see it", "session_id": 21650, "sequence_id": 70, "annotations": []}
{"role": "student", "content": "Oh", "session_id": 21650, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "its very faint tho", "session_id": 21650, "sequence_id": 72, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 21650, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "for shell method", "session_id": 21650, "sequence_id": 74, "annotations": []}
{"role": "volunteer", "content": "u want", "session_id": 21650, "sequence_id": 75, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 21650, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "2pi integral(radius*height)", "session_id": 21650, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "you shouldnt need to square anything", "session_id": 21650, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "the squaring is if u use the other method.", "session_id": 21650, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "thats with respect ot the y axis. this one is related to the x axis", "session_id": 21650, "sequence_id": 80, "annotations": []}
{"role": "student", "content": "Oh so for she'll no squaring", "session_id": 21650, "sequence_id": 81, "annotations": []}
{"role": "volunteer", "content": "yea", "session_id": 21650, "sequence_id": 82, "annotations": []}
{"role": "student", "content": "Then we should just integrate it or", "session_id": 21650, "sequence_id": 83, "annotations": []}
{"role": "volunteer", "content": "do this 2pi integral(radius*height)", "session_id": 21650, "sequence_id": 84, "annotations": []}
{"role": "volunteer", "content": "u just have to find the function for radius", "session_id": 21650, "sequence_id": 85, "annotations": []}
{"role": "volunteer", "content": "and function for height", "session_id": 21650, "sequence_id": 86, "annotations": []}
{"role": "student", "content": "Ok", "session_id": 21650, "sequence_id": 87, "annotations": []}
{"role": "volunteer", "content": "i can help with that if u need", "session_id": 21650, "sequence_id": 88, "annotations": []}
{"role": "volunteer", "content": "but give it a shot by yourself and i can help after", "session_id": 21650, "sequence_id": 89, "annotations": []}
{"role": "student", "content": "Yes please on the board", "session_id": 21650, "sequence_id": 90, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 21650, "sequence_id": 91, "annotations": []}
{"role": "volunteer", "content": "so our height is jsut the height of the shaded area at any given point", "session_id": 21650, "sequence_id": 92, "annotations": []}
{"role": "volunteer", "content": "so like it would be the value between those 2 points I drew", "session_id": 21650, "sequence_id": 93, "annotations": []}
{"role": "volunteer", "content": "and then the radius is the distance from those points ot the x axis", "session_id": 21650, "sequence_id": 94, "annotations": []}
{"role": "volunteer", "content": "so now just create a function for each one", "session_id": 21650, "sequence_id": 95, "annotations": []}
{"role": "volunteer", "content": "the radiius should be easier", "session_id": 21650, "sequence_id": 96, "annotations": []}
{"role": "volunteer", "content": "its just whatever the x value is at that point", "session_id": 21650, "sequence_id": 97, "annotations": []}
{"role": "volunteer", "content": "so f(x) = x", "session_id": 21650, "sequence_id": 98, "annotations": []}
{"role": "volunteer", "content": "now for height, its the y value of the first function - the y value of the second function", "session_id": 21650, "sequence_id": 99, "annotations": []}
{"role": "volunteer", "content": "so like. g(x) = first(x)-second(x)", "session_id": 21650, "sequence_id": 100, "annotations": []}
{"role": "volunteer", "content": "and first and second are 2x^2+5 and 3x^2+1", "session_id": 21650, "sequence_id": 101, "annotations": []}
{"role": "volunteer", "content": "so g(x) = -x^2+4", "session_id": 21650, "sequence_id": 102, "annotations": []}
{"role": "volunteer", "content": "and then u apply the shell method", "session_id": 21650, "sequence_id": 103, "annotations": []}
{"role": "volunteer", "content": "2pi integral(radius*height)", "session_id": 21650, "sequence_id": 104, "annotations": []}
{"role": "volunteer", "content": "2pi integral(x*(-x^2+4))", "session_id": 21650, "sequence_id": 105, "annotations": []}
{"role": "volunteer", "content": "and then solve from there", "session_id": 21650, "sequence_id": 106, "annotations": []}
{"role": "volunteer", "content": "and its integral from 0 to 2", "session_id": 21650, "sequence_id": 107, "annotations": []}
{"role": "student", "content": "So I should just subtract the two", "session_id": 21650, "sequence_id": 108, "annotations": []}
{"role": "volunteer", "content": "the 2 functions??", "session_id": 21650, "sequence_id": 109, "annotations": []}
{"role": "volunteer", "content": "yes. you subtract them to geth the height", "session_id": 21650, "sequence_id": 110, "annotations": []}
{"role": "student", "content": "What the formula again", "session_id": 21650, "sequence_id": 111, "annotations": []}
{"role": "student", "content": "Ohhh ok", "session_id": 21650, "sequence_id": 112, "annotations": []}
{"role": "volunteer", "content": "its 2 pi integral(radius*height)", "session_id": 21650, "sequence_id": 113, "annotations": []}
{"role": "volunteer", "content": "where radius and height are functions", "session_id": 21650, "sequence_id": 114, "annotations": []}
{"role": "student", "content": "In this case what's the radius", "session_id": 21650, "sequence_id": 115, "annotations": []}
{"role": "volunteer", "content": "its the distance away from y axis", "session_id": 21650, "sequence_id": 116, "annotations": []}
{"role": "volunteer", "content": "because thats ultimately the axis of rotation", "session_id": 21650, "sequence_id": 117, "annotations": []}
{"role": "volunteer", "content": "and distance away from y axis is the same as saying the x value", "session_id": 21650, "sequence_id": 118, "annotations": []}
{"role": "student", "content": "So 2?", "session_id": 21650, "sequence_id": 119, "annotations": []}
{"role": "volunteer", "content": "no. the value changes", "session_id": 21650, "sequence_id": 120, "annotations": []}
{"role": "volunteer", "content": "you are absically calculating the area for each little slice", "session_id": 21650, "sequence_id": 121, "annotations": []}
{"role": "volunteer", "content": "so for each little slice, the r value is different", "session_id": 21650, "sequence_id": 122, "annotations": []}
{"role": "volunteer", "content": "so radius is a function of x", "session_id": 21650, "sequence_id": 123, "annotations": []}
{"role": "volunteer", "content": "r(x) = x", "session_id": 21650, "sequence_id": 124, "annotations": []}
{"role": "volunteer", "content": "and h(x) is the function for the height", "session_id": 21650, "sequence_id": 125, "annotations": []}
{"role": "volunteer", "content": "which is just the top function - the bottom function", "session_id": 21650, "sequence_id": 126, "annotations": []}
{"role": "volunteer", "content": "the difference between their 2 heights", "session_id": 21650, "sequence_id": 127, "annotations": []}
{"role": "student", "content": "Ok", "session_id": 21650, "sequence_id": 128, "annotations": []}
{"role": "volunteer", "content": "hows it going?", "session_id": 21650, "sequence_id": 129, "annotations": []}
{"role": "student", "content": "Not so well", "session_id": 21650, "sequence_id": 130, "annotations": []}
{"role": "volunteer", "content": "whats the issue?", "session_id": 21650, "sequence_id": 131, "annotations": []}
{"role": "student", "content": "I'm not really familiar with this so I'm struggling", "session_id": 21650, "sequence_id": 132, "annotations": []}
{"role": "volunteer", "content": "dont worry", "session_id": 21650, "sequence_id": 133, "annotations": []}
{"role": "volunteer", "content": "i can show the steps on the board", "session_id": 21650, "sequence_id": 134, "annotations": []}
{"role": "volunteer", "content": "which step do you want me to start with", "session_id": 21650, "sequence_id": 135, "annotations": []}
{"role": "volunteer", "content": "like whre did you get stuck", "session_id": 21650, "sequence_id": 136, "annotations": []}
{"role": "student", "content": "The beginning", "session_id": 21650, "sequence_id": 137, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 21650, "sequence_id": 138, "annotations": []}
{"role": "volunteer", "content": "lets start with the base formula of the shell method", "session_id": 21650, "sequence_id": 139, "annotations": []}
{"role": "student", "content": "Ok", "session_id": 21650, "sequence_id": 140, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 21650, "sequence_id": 141, "annotations": []}
{"role": "volunteer", "content": "i have it on the board", "session_id": 21650, "sequence_id": 142, "annotations": []}
{"role": "volunteer", "content": "now lets find r and h", "session_id": 21650, "sequence_id": 143, "annotations": []}
{"role": "volunteer", "content": "ok so i created a few little slices within the shaded area", "session_id": 21650, "sequence_id": 144, "annotations": []}
{"role": "volunteer", "content": "can you see them", "session_id": 21650, "sequence_id": 145, "annotations": []}
{"role": "student", "content": "Ok", "session_id": 21650, "sequence_id": 146, "annotations": []}
{"role": "volunteer", "content": "for each of those slices(that we assume are getting infinitely smaller by integration) we need the radius and height", "session_id": 21650, "sequence_id": 147, "annotations": []}
{"role": "volunteer", "content": "so can you tell me what the radius or height is. or draw a line for the height or radius", "session_id": 21650, "sequence_id": 148, "annotations": []}
{"role": "student", "content": "The height is", "session_id": 21650, "sequence_id": 149, "annotations": []}
{"role": "student", "content": "-x^2-1", "session_id": 21650, "sequence_id": 150, "annotations": []}
{"role": "volunteer", "content": "how did you get that?", "session_id": 21650, "sequence_id": 151, "annotations": []}
{"role": "student", "content": "I subtract the fx and gx", "session_id": 21650, "sequence_id": 152, "annotations": []}
{"role": "volunteer", "content": "you should get -x^2+4 then", "session_id": 21650, "sequence_id": 153, "annotations": []}
{"role": "student", "content": "Oh yeah sorry it's 4", "session_id": 21650, "sequence_id": 154, "annotations": []}
{"role": "volunteer", "content": "thats fine", "session_id": 21650, "sequence_id": 155, "annotations": []}
{"role": "student", "content": "The radius I don't know how to get it", "session_id": 21650, "sequence_id": 156, "annotations": []}
{"role": "volunteer", "content": "let me try to draw it out", "session_id": 21650, "sequence_id": 157, "annotations": []}
{"role": "volunteer", "content": "you want to spin it around y axis", "session_id": 21650, "sequence_id": 158, "annotations": []}
{"role": "volunteer", "content": "so the radius is how far your current sliver is from the y axis", "session_id": 21650, "sequence_id": 159, "annotations": []}
{"role": "student", "content": "Ok", "session_id": 21650, "sequence_id": 160, "annotations": []}
{"role": "volunteer", "content": "can you write up a function for that one", "session_id": 21650, "sequence_id": 161, "annotations": []}
{"role": "student", "content": "I don't think so", "session_id": 21650, "sequence_id": 162, "annotations": []}
{"role": "volunteer", "content": "ok. so lets think about it together", "session_id": 21650, "sequence_id": 163, "annotations": []}
{"role": "volunteer", "content": "the inpput of the function is the x value", "session_id": 21650, "sequence_id": 164, "annotations": []}
{"role": "volunteer", "content": "i just drew those on in pink", "session_id": 21650, "sequence_id": 165, "annotations": []}
{"role": "volunteer", "content": "given the pink value, can you find the length of the red line i drew on the graph?", "session_id": 21650, "sequence_id": 166, "annotations": []}
{"role": "volunteer", "content": "so think about it like this", "session_id": 21650, "sequence_id": 167, "annotations": []}
{"role": "volunteer", "content": "the red line starts a 0 and goes to the pink line", "session_id": 21650, "sequence_id": 168, "annotations": []}
{"role": "student", "content": "To I substitute 0", "session_id": 21650, "sequence_id": 169, "annotations": []}
{"role": "student", "content": "Do*", "session_id": 21650, "sequence_id": 170, "annotations": []}
{"role": "volunteer", "content": "substitute zero where?", "session_id": 21650, "sequence_id": 171, "annotations": []}
{"role": "student", "content": "X", "session_id": 21650, "sequence_id": 172, "annotations": []}
{"role": "volunteer", "content": "im not sure waht you mean exactly", "session_id": 21650, "sequence_id": 173, "annotations": []}
{"role": "volunteer", "content": "but you can find the length of the red line by doing x-0", "session_id": 21650, "sequence_id": 174, "annotations": []}
{"role": "volunteer", "content": "because it starts at 0 and goes until the x value", "session_id": 21650, "sequence_id": 175, "annotations": []}
{"role": "volunteer", "content": "so the change in distance is x-0", "session_id": 21650, "sequence_id": 176, "annotations": []}
{"role": "volunteer", "content": "which is just x", "session_id": 21650, "sequence_id": 177, "annotations": []}
{"role": "volunteer", "content": "so the length of the red line is x", "session_id": 21650, "sequence_id": 178, "annotations": []}
{"role": "student", "content": "I'm saying substitute 0 into x", "session_id": 21650, "sequence_id": 179, "annotations": []}
{"role": "student", "content": "I'm also not sure", "session_id": 21650, "sequence_id": 180, "annotations": []}
{"role": "volunteer", "content": "but you dont need to substitute any values in yet", "session_id": 21650, "sequence_id": 181, "annotations": []}
{"role": "volunteer", "content": "we are trying to define the function r(x)", "session_id": 21650, "sequence_id": 182, "annotations": []}
{"role": "volunteer", "content": "we need to figure out what that equals to", "session_id": 21650, "sequence_id": 183, "annotations": []}
{"role": "volunteer", "content": "so that we can integrate using the shell method", "session_id": 21650, "sequence_id": 184, "annotations": []}
{"role": "student", "content": "2pi", "session_id": 21650, "sequence_id": 185, "annotations": []}
{"role": "volunteer", "content": "r(x) is how far our slices are from the axis or rotation", "session_id": 21650, "sequence_id": 186, "annotations": []}
{"role": "student", "content": "Like the distance", "session_id": 21650, "sequence_id": 187, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 21650, "sequence_id": 188, "annotations": []}
{"role": "volunteer", "content": "i tried to visually represent the distances with the red lines on the board", "session_id": 21650, "sequence_id": 189, "annotations": []}
{"role": "student", "content": "Oh so how do we find that", "session_id": 21650, "sequence_id": 190, "annotations": []}
{"role": "volunteer", "content": "lets think about it as a difference between the start and endpoint", "session_id": 21650, "sequence_id": 191, "annotations": []}
{"role": "volunteer", "content": "so the red line starts at o", "session_id": 21650, "sequence_id": 192, "annotations": []}
{"role": "volunteer", "content": "*at 0", "session_id": 21650, "sequence_id": 193, "annotations": []}
{"role": "volunteer", "content": "and it ends at where the slice is", "session_id": 21650, "sequence_id": 194, "annotations": []}
{"role": "student", "content": "So 4 or", "session_id": 21650, "sequence_id": 195, "annotations": []}
{"role": "volunteer", "content": "this is a function", "session_id": 21650, "sequence_id": 196, "annotations": []}
{"role": "volunteer", "content": "not an exact value", "session_id": 21650, "sequence_id": 197, "annotations": []}
{"role": "student", "content": "Oh ok", "session_id": 21650, "sequence_id": 198, "annotations": []}
{"role": "volunteer", "content": "we are trying to create a radius function", "session_id": 21650, "sequence_id": 199, "annotations": []}
{"role": "volunteer", "content": "r(x)", "session_id": 21650, "sequence_id": 200, "annotations": []}
{"role": "volunteer", "content": "can you see the board?", "session_id": 21650, "sequence_id": 201, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 21650, "sequence_id": 202, "annotations": []}
{"role": "volunteer", "content": "do you see those red and pink lines?", "session_id": 21650, "sequence_id": 203, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 21650, "sequence_id": 204, "annotations": []}
{"role": "volunteer", "content": "for each of the slices, the red line represents the radius and the pink line represents the x value", "session_id": 21650, "sequence_id": 205, "annotations": []}
{"role": "volunteer", "content": "and the red lines go from 0 to the pink lines", "session_id": 21650, "sequence_id": 206, "annotations": []}
{"role": "volunteer", "content": "so the red lines go from 0 to x", "session_id": 21650, "sequence_id": 207, "annotations": []}
{"role": "volunteer", "content": "meaning that the red lines have a length of x", "session_id": 21650, "sequence_id": 208, "annotations": []}
{"role": "volunteer", "content": "so then waht is r(x) equal to?", "session_id": 21650, "sequence_id": 209, "annotations": []}
{"role": "student", "content": "4x", "session_id": 21650, "sequence_id": 210, "annotations": []}
{"role": "student", "content": "I really don't know", "session_id": 21650, "sequence_id": 211, "annotations": []}
{"role": "volunteer", "content": "its just x", "session_id": 21650, "sequence_id": 212, "annotations": []}
{"role": "volunteer", "content": "r(x) = x", "session_id": 21650, "sequence_id": 213, "annotations": []}
{"role": "volunteer", "content": "because the length of the red line(aka radius) is equal to the x value(where the pink line is)", "session_id": 21650, "sequence_id": 214, "annotations": []}
{"role": "student", "content": "I see", "session_id": 21650, "sequence_id": 215, "annotations": []}
{"role": "volunteer", "content": "ok. can we move on to the next step?", "session_id": 21650, "sequence_id": 216, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 21650, "sequence_id": 217, "annotations": []}
{"role": "volunteer", "content": "can you solve from here?", "session_id": 21650, "sequence_id": 218, "annotations": []}
{"role": "volunteer", "content": "or shoudl i do it on the board", "session_id": 21650, "sequence_id": 219, "annotations": []}
{"role": "student", "content": "I think I can do it", "session_id": 21650, "sequence_id": 220, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 21650, "sequence_id": 221, "annotations": []}
{"role": "volunteer", "content": "when you get the answer, just type it here", "session_id": 21650, "sequence_id": 222, "annotations": []}
{"role": "student", "content": "8pi", "session_id": 21650, "sequence_id": 223, "annotations": []}
{"role": "volunteer", "content": "yea", "session_id": 21650, "sequence_id": 224, "annotations": []}
{"role": "student", "content": "Thank you so so much even though I took so much of your time thank you very much", "session_id": 21650, "sequence_id": 225, "annotations": []}
{"role": "volunteer", "content": "hope that you learned a bit more about the shell method today", "session_id": 21650, "sequence_id": 226, "annotations": []}
{"role": "volunteer", "content": "sometimes learning takes time but its well worth it", "session_id": 21650, "sequence_id": 227, "annotations": []}
{"role": "student", "content": "Is r(x) always equal to x or it depends", "session_id": 21650, "sequence_id": 228, "annotations": []}
{"role": "volunteer", "content": "i think its usually equal to x", "session_id": 21650, "sequence_id": 229, "annotations": []}
{"role": "volunteer", "content": "if you are rotating around y axis", "session_id": 21650, "sequence_id": 230, "annotations": []}
{"role": "volunteer", "content": "but give me a second to think abt it", "session_id": 21650, "sequence_id": 231, "annotations": []}
{"role": "student", "content": "And if it's around the x", "session_id": 21650, "sequence_id": 232, "annotations": []}
{"role": "volunteer", "content": "if its aroudn the x axis, dont use the shell method", "session_id": 21650, "sequence_id": 233, "annotations": []}
{"role": "volunteer", "content": "the proper one is the disc and washer method", "session_id": 21650, "sequence_id": 234, "annotations": []}
{"role": "volunteer", "content": "its much easier in my opinion", "session_id": 21650, "sequence_id": 235, "annotations": []}
{"role": "volunteer", "content": "than the shell method", "session_id": 21650, "sequence_id": 236, "annotations": []}
{"role": "volunteer", "content": "its v = pi integral( r(x)^2) where r(x) is your function", "session_id": 21650, "sequence_id": 237, "annotations": []}
{"role": "student", "content": "Oh OK thanks", "session_id": 21650, "sequence_id": 238, "annotations": []}
{"role": "volunteer", "content": "anyways. hope I helped today!", "session_id": 21650, "sequence_id": 239, "annotations": []}
{"role": "volunteer", "content": "and maybe I will see you again on Tutor Provider some time", "session_id": 21650, "sequence_id": 240, "annotations": []}
{"role": "student", "content": "Yes bye", "session_id": 21650, "sequence_id": 241, "annotations": []}
{"role": "volunteer", "content": "bye!", "session_id": 21650, "sequence_id": 242, "annotations": []}
{"role": "volunteer", "content": "hey Ben how can i help you today", "session_id": 21677, "sequence_id": 0, "annotations": [{"pii_type": "PERSON", "surrogate": "Ben", "start": 4, "end": 7}]}
{"role": "student", "content": "Hello Im learning statistics and have done ok but now Addition rule has me baffled. I got 1 out of 5 questions right ugh", "session_id": 21677, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "hey its ok it can be a little tricky but im here to help", "session_id": 21677, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "can you show me some of the problems you got wrong and we can work on it together'", "session_id": 21677, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "Thank you. Yes lemme check which one i got right and ill upload one i didnt get", "session_id": 21677, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "Sorry took so long \u2026 was trying to show a screenshot but its not working\u2026 so Ill copy & paste", "session_id": 21677, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "its ok dont worry about it", "session_id": 21677, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "This is what the problem is that i got right> The following table shows the breakdown of patients at different locations visiting a rotation of practitioners at those locations. l. If one patient is selected at random, what is the probability that they went to Johnson or have seen Dr. Dr. Smith? (Round to 4 decimal places)", "session_id": 21677, "sequence_id": 7, "annotations": [{"pii_type": "PERSON", "surrogate": "Dr. Smith", "start": 286, "end": 295}]}
{"role": "student", "content": "Oops! Ok now one i didnt> In a recent poll of a local election, 8 people voted for Alice, 20 people voted for Charlie, 9 people voted for David, and 20 people voted for Eve. If a person was selected at random, what is the probability that they voted for Alice or David? (round your answer to 4 decimal places)\n My answer was 7.25", "session_id": 21677, "sequence_id": 8, "annotations": [{"pii_type": "PERSON", "surrogate": "Alice", "start": 83, "end": 88}, {"pii_type": "PERSON", "surrogate": "Charlie", "start": 110, "end": 117}, {"pii_type": "PERSON", "surrogate": "David", "start": 138, "end": 143}, {"pii_type": "PERSON", "surrogate": "Eve", "start": 169, "end": 172}, {"pii_type": "PERSON", "surrogate": "Alice", "start": 254, "end": 259}, {"pii_type": "PERSON", "surrogate": "David", "start": 263, "end": 268}]}
{"role": "student", "content": "Brb", "session_id": 21677, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "alright so there is 57 people in total", "session_id": 21677, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 21677, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "how many people voted for bob?", "session_id": 21677, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "20", "session_id": 21677, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "and how many for David", "session_id": 21677, "sequence_id": 14, "annotations": [{"pii_type": "PERSON", "surrogate": "David", "start": 17, "end": 22}]}
{"role": "student", "content": "9", "session_id": 21677, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "how much in total", "session_id": 21677, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "29", "session_id": 21677, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "out of how many people", "session_id": 21677, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "57?", "session_id": 21677, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "write it as a fraction", "session_id": 21677, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 21677, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "29/57", "session_id": 21677, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "yup thats your percentage", "session_id": 21677, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "a little under 50%", "session_id": 21677, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "Divide? Correct?", "session_id": 21677, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "yess 29/57", "session_id": 21677, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "So rounding to 4 places is 0.5087 correct?", "session_id": 21677, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "yes try it like that or if that doesnt work 50.87", "session_id": 21677, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "cause i dont know if it wants probabilty or percentage", "session_id": 21677, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "Oh \u2026 so a percentage would be to move two spaces to the right", "session_id": 21677, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "No it doesnt say perccentagge", "session_id": 21677, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "then just do .5087", "session_id": 21677, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "Ok, thanku lemme try another?", "session_id": 21677, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "yeah of course", "session_id": 21677, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "Okay", "session_id": 21677, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "this one try on your own and write it on the whiteboard", "session_id": 21677, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "Ok will do", "session_id": 21677, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "This is the problem > A bag contains 24 coins, one of each number 1 through 24. What is the probability that if you pick out a single coin, you choose either 17 or 39? (round to 4 decimal places)", "session_id": 21677, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "this one is a trick question", "session_id": 21677, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "because its impossible to get 39 if the coins onlly go up to 24", "session_id": 21677, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "Terrible", "session_id": 21677, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "so whats the probablity of choosing the number 17 our of 24", "session_id": 21677, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "Oh ya lol", "session_id": 21677, "sequence_id": 43, "annotations": []}
{"role": "student", "content": "Let me think", "session_id": 21677, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "Looking a at my notes", "session_id": 21677, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "Sorry I missed what you asked me", "session_id": 21677, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "whats the probabilty of picking 17 out of 24", "session_id": 21677, "sequence_id": 47, "annotations": []}
{"role": "student", "content": "70%", "session_id": 21677, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "close i see how your thinking that", "session_id": 21677, "sequence_id": 49, "annotations": []}
{"role": "student", "content": "Or 0.7083", "session_id": 21677, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "but its not asking numbers 1-17 out of 24", "session_id": 21677, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "its asking specifically for 17\\", "session_id": 21677, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "its basically asking for 1 number out of 24", "session_id": 21677, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "so the probabilty is 1/24", "session_id": 21677, "sequence_id": 54, "annotations": []}
{"role": "student", "content": "Oh that simple ?", "session_id": 21677, "sequence_id": 55, "annotations": []}
{"role": "student", "content": "And zero P for 39", "session_id": 21677, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "yeah perfect", "session_id": 21677, "sequence_id": 57, "annotations": []}
{"role": "student", "content": "\ud83d\ude42", "session_id": 21677, "sequence_id": 58, "annotations": []}
{"role": "student", "content": "In decimal for 1/24 =", "session_id": 21677, "sequence_id": 59, "annotations": []}
{"role": "student", "content": "0.0416", "session_id": 21677, "sequence_id": 60, "annotations": []}
{"role": "student", "content": "Lol", "session_id": 21677, "sequence_id": 61, "annotations": []}
{"role": "student", "content": "Using the table below, if a student is selected at random, what is the probability that the student is blonde or a female? (round your answer to four decimal places)\n\n\nI\u2019ll draw the table", "session_id": 21677, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "try this one yourself as well?", "session_id": 21677, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "hello are you here", "session_id": 21677, "sequence_id": 64, "annotations": []}
{"role": "student", "content": "Is the formula >", "session_id": 21677, "sequence_id": 65, "annotations": []}
{"role": "student", "content": "Oops sorry", "session_id": 21677, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "Hey Maya!", "session_id": 21691, "sequence_id": 0, "annotations": [{"pii_type": "PERSON", "surrogate": "Maya", "start": 4, "end": 8}]}
{"role": "volunteer", "content": "What do you need help with today?", "session_id": 21691, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "hey! I just wanted to learn more about algebra", "session_id": 21691, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "Okay! Is there a particular aspect?", "session_id": 21691, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "nothing in particualr", "session_id": 21691, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "just anyhting", "session_id": 21691, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "oh okay", "session_id": 21691, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "have you learned how to factor by grouping yet?", "session_id": 21691, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "what's that?", "session_id": 21691, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "okay! so you know how to factor be factring out the largest common denominator, correct?", "session_id": 21691, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "yes!", "session_id": 21691, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "grouping is sorta similar, but breaks it down into two different equal parts", "session_id": 21691, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "lemme put something on the baord", "session_id": 21691, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "Let's first look at the first line", "session_id": 21691, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "You wouldn't know what to do with this right?", "session_id": 21691, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "no", "session_id": 21691, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "Okay yeah", "session_id": 21691, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "so here, you want to apply factoring by the lcm to two different parts", "session_id": 21691, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "the first 2 terms, and the last 2 terms", "session_id": 21691, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "ok", "session_id": 21691, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "so, the lcd of the first 2 terms is x^2, while the lcd of the last 2 terms is 5", "session_id": 21691, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "alright", "session_id": 21691, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "so, you factor that out", "session_id": 21691, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "and that's where you get the third line", "session_id": 21691, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "ok!", "session_id": 21691, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "so, by getting the third line, you could see a different common factor pop up!", "session_id": 21691, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "(x-2)", "session_id": 21691, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "right", "session_id": 21691, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "and we could quickly factor that out", "session_id": 21691, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "so at the end, Ethan", "session_id": 21691, "sequence_id": 29, "annotations": [{"pii_type": "PERSON", "surrogate": "Ethan", "start": 15, "end": 20}]}
{"role": "student", "content": "alright!", "session_id": 21691, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "can we try it", "session_id": 21691, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "okay! I'll give you a different one", "session_id": 21691, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "LETS TRY THIS ONE OUT", "session_id": 21691, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "oops didn't mean to do all caps", "session_id": 21691, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "can you like walk me through it?", "session_id": 21691, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "okay! find the common factor for the first 2 and last 2 terms first", "session_id": 21691, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "for the first 2 terms is the lcd just 3?", "session_id": 21691, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "yeah", "session_id": 21691, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "Ok and the lcd for the second 2 terms is x?", "session_id": 21691, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "yep!", "session_id": 21691, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "so try to write out the sequence now", "session_id": 21691, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "like that?", "session_id": 21691, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "yeah, but factor the first 2 terms the the last 2", "session_id": 21691, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "after you factor out a 3 what happens to the 3x^2 and 6? they divided by 3, right?", "session_id": 21691, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 21691, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "so you need to account for that in you r steps", "session_id": 21691, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "ok!", "session_id": 21691, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "okay good. Now you have the common factor x^2 + 2, which you could factor out", "session_id": 21691, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "what's the common factor?", "session_id": 21691, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "2 + x^2", "session_id": 21691, "sequence_id": 50, "annotations": []}
{"role": "student", "content": "ohh!", "session_id": 21691, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "okay, now what do you do when you normally factor with the 3 and the x?", "session_id": 21691, "sequence_id": 52, "annotations": []}
{"role": "student", "content": "add?", "session_id": 21691, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "yep", "session_id": 21691, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "think about the distributive property", "session_id": 21691, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "good! now you got it", "session_id": 21691, "sequence_id": 56, "annotations": []}
{"role": "student", "content": "can we do another one?", "session_id": 21691, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "okay, but this time try to work it out yourself", "session_id": 21691, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "On the board now", "session_id": 21691, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "I'll put it lower down", "session_id": 21691, "sequence_id": 60, "annotations": []}
{"role": "student", "content": "thanks!", "session_id": 21691, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "sorry but I actually gotta go now", "session_id": 21691, "sequence_id": 62, "annotations": []}
{"role": "student", "content": "oh ok", "session_id": 21691, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "bye bye!", "session_id": 21691, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "hello! thanks for using Tutor Provider", "session_id": 10, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "how can I help you?", "session_id": 10, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "hi", "session_id": 10, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "ill upload stuff", "session_id": 10, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "like median mode etc", "session_id": 10, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "give me a while", "session_id": 10, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "ok sure", "session_id": 10, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "im kinda lagging nr", "session_id": 10, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "yea its fine take your time", "session_id": 10, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "oki", "session_id": 10, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "sorry for the lag", "session_id": 10, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "gimme 5 more minitues", "session_id": 10, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "ye sure", "session_id": 10, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "hey how is it going?", "session_id": 10, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "hi", "session_id": 10, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "sorry i just restarted my ipad", "session_id": 10, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "illupload it rn", "session_id": 10, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "oh ok", "session_id": 10, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "Find the mode, median, mean, lower quartile, upper quartile, interquartile range, and population\nstandard deviation for each data set.", "session_id": 10, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "lets start", "session_id": 10, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "wait im lagging", "session_id": 10, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "wait for 2 mins tops", "session_id": 10, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "you there?", "session_id": 10, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "ok sure", "session_id": 10, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "yup", "session_id": 10, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "gimme a few minitues", "session_id": 10, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "ok sure", "session_id": 10, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "hey i am really sorry but my parents are calling me because I have to leave for Sarah", "session_id": 10, "sequence_id": 27, "annotations": [{"pii_type": "PERSON", "surrogate": "Sarah", "start": 80, "end": 85}]}
{"role": "volunteer", "content": "I'm extremely sorry", "session_id": 10, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "I am sure there's another coach who can help you", "session_id": 10, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "Bye, have a good rest of the day", "session_id": 10, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "Hello Emily", "session_id": 37, "sequence_id": 0, "annotations": [{"pii_type": "PERSON", "surrogate": "Emily", "start": 6, "end": 11}]}
{"role": "student", "content": "hello", "session_id": 37, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "Do you know the five methods to prove triangular congruency?", "session_id": 37, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "like the definitions and terms you use in  a proof?", "session_id": 37, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "Like SSS, SAS, AAS, AAA, and HL", "session_id": 37, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "oh yeah i do", "session_id": 37, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "Sorry ASA not AAA", "session_id": 37, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "That is what they are looking for here", "session_id": 37, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "do you put the angle in the middle because of they are vertical angls", "session_id": 37, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "exactly", "session_id": 37, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "so you can prove it with SAS", "session_id": 37, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 37, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "I cant see x from that picture", "session_id": 37, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "i made it smaller", "session_id": 37, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "got it", "session_id": 37, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "Which angles are equal to eachother?", "session_id": 37, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "kij and efd?", "session_id": 37, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 37, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "are they alternate exterior angles", "session_id": 37, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 37, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "do i set them equal", "session_id": 37, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 37, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "i got y=12", "session_id": 37, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 37, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "set the missing angle to the IFG equation", "session_id": 37, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "so 5x-10=60?", "session_id": 37, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 37, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "okay so x=14", "session_id": 37, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 37, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "why did we set the missing angle to 5-x=60", "session_id": 37, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "because like you said alt exterior angles so IFG is equal to EFD", "session_id": 37, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "okay", "session_id": 37, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "The transformation is F: (x,y) -> (x+8, y+20)", "session_id": 37, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "Is D your answer choice?", "session_id": 37, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "no d is cut off so i was putting the answer for it thats listed", "session_id": 37, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 37, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "Go through the answer choices and try each on to see what works", "session_id": 37, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "do i plug the points in", "session_id": 37, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 37, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "for example for the first one you take the first point (2, 5) and you transform it with (5x, 5y) to get (5(2), 5(5)). Clearly, that does not work", "session_id": 37, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "so for c i would do 2-8 and 5-30", "session_id": 37, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 37, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "what is the question looking for i dont understand", "session_id": 37, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "which transformation leads to (2, 5) turning into (10, 25) and (-3, 8) to (5, 28)", "session_id": 37, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "The first one leads the point (2, 5) to (5(2), 5(5)) - (10, 25) * this matches up with first point but the second points dont work (-3(5), 5(5))- (-15, 40) does not match (5, 28)", "session_id": 37, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "alr then the answer is d", "session_id": 37, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "Correct", "session_id": 37, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "What do we know based off the information given?", "session_id": 37, "sequence_id": 47, "annotations": []}
{"role": "student", "content": "line SR is equal to line tv", "session_id": 37, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "and angle s and v are alt interior angles", "session_id": 37, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "They are not alt interior angles because for that there must be two parallel lines, but they are equal.", "session_id": 37, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "Because we are told that.", "session_id": 37, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "What is the third condition that is not given but we can see?", "session_id": 37, "sequence_id": 52, "annotations": []}
{"role": "student", "content": "t makes vertical angles on both sides", "session_id": 37, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "Yes", "session_id": 37, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "Hat rule is this that makes the two triangles congruent?", "session_id": 37, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "What*", "session_id": 37, "sequence_id": 56, "annotations": []}
{"role": "student", "content": "definiton of vertical angles?", "session_id": 37, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "SAS, SSS, AAS, ASA, or HL?", "session_id": 37, "sequence_id": 58, "annotations": []}
{"role": "student", "content": "asa", "session_id": 37, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "Yes that is what proves the congruency.", "session_id": 37, "sequence_id": 60, "annotations": []}
{"role": "student", "content": "how do i make this into a proof", "session_id": 37, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "Use the information we stated", "session_id": 37, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "And out into statement", "session_id": 37, "sequence_id": 63, "annotations": []}
{"role": "student", "content": "okay", "session_id": 37, "sequence_id": 64, "annotations": []}
{"role": "student", "content": "can you write a example for it", "session_id": 37, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "It is given that \u2220S\u2245\u2220V and that T is the midpoint of  \nSV\n . By the definition of a midpoint, we know that  \nST\n \u2245 \nVT\n . Additionally, \u2220RTS\u2245\u2220UTV because they are vertical angles, and the Vertical Angles Theorem states that all vertical angles are congruent. Therefore, triangle RSTUTV by the ASA (Angle-Side-Angle) Congruence Postulate, which proves that if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, the triangles are congruent.", "session_id": 37, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "Hello?", "session_id": 37, "sequence_id": 67, "annotations": []}
{"role": "student", "content": "do you see yhe image", "session_id": 37, "sequence_id": 68, "annotations": []}
{"role": "student", "content": "the*", "session_id": 37, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "Yes", "session_id": 37, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "Try them and then send image with your answers", "session_id": 37, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "Good job!!!", "session_id": 37, "sequence_id": 72, "annotations": []}
{"role": "student", "content": "thank you, do i need to use one of the five triangle congrueny things", "session_id": 37, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "Exactly", "session_id": 37, "sequence_id": 74, "annotations": []}
{"role": "student", "content": "okay i will try", "session_id": 37, "sequence_id": 75, "annotations": []}
{"role": "student", "content": "is rp = PS because of the bisector", "session_id": 37, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "Yes", "session_id": 37, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "Have you figured out the congruency postulate ?", "session_id": 37, "sequence_id": 78, "annotations": []}
{"role": "student", "content": "is it sas", "session_id": 37, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "We have vertical angles and a given angle and sides", "session_id": 37, "sequence_id": 80, "annotations": []}
{"role": "volunteer", "content": "So the postulate is AAS", "session_id": 37, "sequence_id": 81, "annotations": []}
{"role": "student", "content": "okay", "session_id": 37, "sequence_id": 82, "annotations": []}
{"role": "student", "content": "what did you put for the proof like the steps", "session_id": 37, "sequence_id": 83, "annotations": []}
{"role": "volunteer", "content": "The bisect leads us to know the two sides are equal PR and PS. We are given the two angles are congruent. And we know the last two angles via vertical angles.", "session_id": 37, "sequence_id": 84, "annotations": []}
{"role": "volunteer", "content": "Hey unfortunately I have to go. Please request further help if you need it.", "session_id": 37, "sequence_id": 85, "annotations": []}
{"role": "student", "content": "okay thank you have a good night", "session_id": 37, "sequence_id": 86, "annotations": []}
{"role": "student", "content": "hello", "session_id": 65, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "Hi!", "session_id": 65, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "How can I best help you today?", "session_id": 65, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "I need assitance with the unit circle", "session_id": 65, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "Are you there?", "session_id": 65, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "Alright! Do you have any specific questions or homework problems about it? Or do you need me to help explain it?", "session_id": 65, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "yeah  I have questions", "session_id": 65, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "let me pull them up quickly", "session_id": 65, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "Okay, sounds good!", "session_id": 65, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "am I able to post pictures hjere", "session_id": 65, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "Yep", "session_id": 65, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "There should be a button on your screen to upload pictures", "session_id": 65, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "alr I'm sharing the screen I think that should work", "session_id": 65, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "Yep, I can see it!", "session_id": 65, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "I need help with questions 44-58", "session_id": 65, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "43-58* sorry about that", "session_id": 65, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "Okay, give me one sec to look at the first few", "session_id": 65, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "Okay cool, so I can get an idea of where to start, did you start these problems yet or are you stuck on where to begin? Either way is totally fine!", "session_id": 65, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "stuck on where to begin", "session_id": 65, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "researching has been stressful as well", "session_id": 65, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "Alright, no worries! Let's start with #43. Can you scroll back up to the unit circle so I can help explain it with the circle?", "session_id": 65, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "sure", "session_id": 65, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "Great, thank you!", "session_id": 65, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "Okay so it looks like the unit circle they give you is in radians instead of degreesa", "session_id": 65, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "Did you go over how to convert from degrees to radians? Or do you want me to show you how to do that?", "session_id": 65, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "Think i've reviewd it but forgot it overtime", "session_id": 65, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "could you show me how to convert it please", "session_id": 65, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "Okay not a problem!", "session_id": 65, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "So to go from degrees to radians you will multiply by pi/180 and to go from radians to degrees it would 180/pi. I'll draw it on the whiteboard as well, but I'm not sure if you can see that while screen sharing.", "session_id": 65, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "I can see it", "session_id": 65, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "Yay!", "session_id": 65, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "Okay, so step one would be to convert the value you have to radians. So for -30 degrees, what would that be in radians?", "session_id": 65, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "did I do anything wrong in desmos", "session_id": 65, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "careful, since you are going from degrees to radians it should be pi/180", "session_id": 65, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "and you want your final answer to still include the pi, so you may have to simplify by hand if desmos won't leave it as a fraction", "session_id": 65, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "if that makes sense", "session_id": 65, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "uim confused", "session_id": 65, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "okay no worries!", "session_id": 65, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "So you are going to want something like pi/6 or pi/3, etc", "session_id": 65, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "can you show it on the whiteboard?", "session_id": 65, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "Yep!", "session_id": 65, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "oh I see", "session_id": 65, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "thank you!", "session_id": 65, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "Great!", "session_id": 65, "sequence_id": 43, "annotations": []}
{"role": "student", "content": "does desmos look accurate now", "session_id": 65, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "If you hit the button next to your answer in desmos with the two boxes and a line it might give you the simplified fraction which will be helpful when we go to the unit circle", "session_id": 65, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "But yes, it looks accurate now!", "session_id": 65, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "1 1/pi over 6?", "session_id": 65, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "pi should be in the numerator, but I think that's what you meant so yep that is right!", "session_id": 65, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "So a tip for desmos when you do these unit circle problems is to leave out the pi and then add it back in at the end when you have the fraction", "session_id": 65, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "Otherwise it will multiply in the value of pi and then when you go to the unit circle it might be hard to find the correct value.", "session_id": 65, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "Okay so let's go back to our unit circle now", "session_id": 65, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "alrighty", "session_id": 65, "sequence_id": 52, "annotations": []}
{"role": "student", "content": "sin30", "session_id": 65, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "Hello!", "session_id": 107, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "My name is Sarah.", "session_id": 107, "sequence_id": 1, "annotations": [{"pii_type": "PERSON", "surrogate": "Sarah", "start": 11, "end": 16}]}
{"role": "volunteer", "content": "How can I help?", "session_id": 107, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "Hello, how are you?", "session_id": 107, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "I am good", "session_id": 107, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "How are you?", "session_id": 107, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "I am doing well, thank you for asking.", "session_id": 107, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "I need help reviewing Chapter 4 trigonometry.", "session_id": 107, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "Some is review and some is new material", "session_id": 107, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "Okay!", "session_id": 107, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "Is there any specific content/work that you are doing in class right now?", "session_id": 107, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 107, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "I have worksheets.", "session_id": 107, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "Perfect!", "session_id": 107, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "You can paste it on the whiteboard whenever you are ready", "session_id": 107, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "Okay.", "session_id": 107, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "Is there specific that you are unsure of?", "session_id": 107, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "Have you hear the phrase sohcahtoa", "session_id": 107, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "I have heard of it before, but I do not know it's use.", "session_id": 107, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "sohcahtoa is an abbrieviation for the trigonometic functions", "session_id": 107, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "soh - (opposite/hypotenuse)", "session_id": 107, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "cah(adjacent/hypotenuse)", "session_id": 107, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "toa (opposite/adjacent)", "session_id": 107, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "sohcahtoa is used for easy memorization", "session_id": 107, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "I see", "session_id": 107, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "for csc, sec, cot (you just have to remember that it is opposite from the original)", "session_id": 107, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "Does that make sense?", "session_id": 107, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 107, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "Okay!", "session_id": 107, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "That is the general gist of the basics", "session_id": 107, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "With the trig functions defined for you, try out the first example!", "session_id": 107, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "Okay.", "session_id": 107, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "Is this correct?", "session_id": 107, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "Yes!", "session_id": 107, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "Great job", "session_id": 107, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "I apologize for the interruption, but something urgent has come up that requires my attention. I'll have to end the session for now.", "session_id": 107, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "Okay", "session_id": 107, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "Bye", "session_id": 107, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "Thank you for helping me.", "session_id": 107, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "Your welcome", "session_id": 107, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "Have a good day", "session_id": 107, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "You too!", "session_id": 107, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "Hello, how are you?", "session_id": 141, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "Hi! I'm good and yourself?", "session_id": 141, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "Good as well.", "session_id": 141, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "What can I help you with today?", "session_id": 141, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "I need help with some problems", "session_id": 141, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "so wouldn't x=7 be -7?", "session_id": 141, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "swait we replace the number with f(x)", "session_id": 141, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "so its 7=9x-2x^3?", "session_id": 141, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "So, the original equation was -2x^3+9x=7?", "session_id": 141, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "no it originally was f(x)=9x-2x^3", "session_id": 141, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "can u see it on the whiteboard", "session_id": 141, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "Yes", "session_id": 141, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "Give me a moment to solve it.", "session_id": 141, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "oh nvm i get how to solve it", "session_id": 141, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "Okay.", "session_id": 141, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "Just checking in, how everything\u2019s going?", "session_id": 141, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "Good morning. How are you?", "session_id": 214, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "Hello, how are you?", "session_id": 214, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "I'm doign well", "session_id": 214, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "I'm doing good. I'm putting my microphone on, if you can or want to, you're welcome to.", "session_id": 214, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "I see the two problems up here. Is that what we're working on?", "session_id": 214, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 214, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 214, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "So", "session_id": 214, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "um", "session_id": 214, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "what, what quadrant 135 degrees uh sit in.", "session_id": 214, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "The 2nd quadrant", "session_id": 214, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "Good.", "session_id": 214, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "So it's uh", "session_id": 214, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "45 degrees past.", "session_id": 214, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "90, right", "session_id": 214, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 214, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 214, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "So", "session_id": 214, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "we can, I'll let you draw it, draw a little coordinate axis there with your mouse.", "session_id": 214, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "and let's put that angle in there.", "session_id": 214, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "Good.", "session_id": 214, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "So if we want a positive and a negative one,", "session_id": 214, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "uh let's do the negative 1 1st. If you wrap all the way around", "session_id": 214, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "the origin", "session_id": 214, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "from that point", "session_id": 214, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "that would be a negative angle, right.", "session_id": 214, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "So let's see", "session_id": 214, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "that is going to be", "session_id": 214, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "um", "session_id": 214, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "negative what? Where do, where do we go from there? Uh, -45 to get to the top.", "session_id": 214, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "-18 plus -180.", "session_id": 214, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "-225 i think", "session_id": 214, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "Let's see", "session_id": 214, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "and another 45.", "session_id": 214, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "So what does that get us some -270?", "session_id": 214, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "Aren't you supposed to subtract - 360", "session_id": 214, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "and + 360?", "session_id": 214, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 214, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "That's a good way to do it. Yup.", "session_id": 214, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "so it's 360 cause you're just going all the way aroudn?", "session_id": 214, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "Sounds good", "session_id": 214, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "Right.", "session_id": 214, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "And then you can add 360. That's, that's a", "session_id": 214, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "better, better good way to do it. Yup.", "session_id": 214, "sequence_id": 43, "annotations": []}
{"role": "student", "content": "so whats the point of the coterminal angle", "session_id": 214, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "Looks great, right?", "session_id": 214, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "The point of a coterminal angle is", "session_id": 214, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "to uh get all solutions to problems that you will work with.", "session_id": 214, "sequence_id": 47, "annotations": []}
{"role": "student", "content": "so i think u can add or subract by 2 pi", "session_id": 214, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "cause 2pi = 360", "session_id": 214, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "Again, yes, uh, that approach would do it.", "session_id": 214, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "add or subtract 360 degrees, yes.", "session_id": 214, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "Good.", "session_id": 214, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "Excellent", "session_id": 214, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 214, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "So", "session_id": 214, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "you know how to do, you look like you already know how to do these. That's great.", "session_id": 214, "sequence_id": 56, "annotations": []}
{"role": "student", "content": "i think from degree to radian", "session_id": 214, "sequence_id": 57, "annotations": []}
{"role": "student", "content": "you multiply your originale degree by pi/180", "session_id": 214, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "Right, you divide by 180 to get from degrees to radiance.", "session_id": 214, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "with the pi", "session_id": 214, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "Excellent", "session_id": 214, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "and you would multiply by 180/pi there.", "session_id": 214, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "Exactly right", "session_id": 214, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "Great", "session_id": 214, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "Super job", "session_id": 214, "sequence_id": 65, "annotations": []}
{"role": "student", "content": "so tan is opp/adj", "session_id": 214, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "Correct", "session_id": 214, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "We'll calculate your hypotenuse.", "session_id": 214, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "exactly right", "session_id": 214, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "Good", "session_id": 214, "sequence_id": 70, "annotations": []}
{"role": "student", "content": "my teacher doesn't like squareroot in denominator", "session_id": 214, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "Mhm", "session_id": 214, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "Great job", "session_id": 214, "sequence_id": 73, "annotations": []}
{"role": "student", "content": "she says its not as simplified", "session_id": 214, "sequence_id": 74, "annotations": []}
{"role": "volunteer", "content": "Right, rationalize the denominator.", "session_id": 214, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "They're both really the same thing.", "session_id": 214, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "Mhm", "session_id": 214, "sequence_id": 77, "annotations": []}
{"role": "student", "content": "Let me get my calculator", "session_id": 214, "sequence_id": 78, "annotations": []}
{"role": "student", "content": "one second", "session_id": 214, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "Take your time", "session_id": 214, "sequence_id": 80, "annotations": []}
{"role": "volunteer", "content": "Should be 3.9 centimeters.", "session_id": 214, "sequence_id": 81, "annotations": []}
{"role": "student", "content": "3.9", "session_id": 214, "sequence_id": 82, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 214, "sequence_id": 83, "annotations": []}
{"role": "volunteer", "content": "Yes", "session_id": 214, "sequence_id": 84, "annotations": []}
{"role": "student", "content": "sorry for taking so long", "session_id": 214, "sequence_id": 85, "annotations": []}
{"role": "volunteer", "content": "No, no problem", "session_id": 214, "sequence_id": 86, "annotations": []}
{"role": "volunteer", "content": "Good.", "session_id": 214, "sequence_id": 87, "annotations": []}
{"role": "volunteer", "content": "good", "session_id": 214, "sequence_id": 88, "annotations": []}
{"role": "volunteer", "content": "Exactly right", "session_id": 214, "sequence_id": 89, "annotations": []}
{"role": "student", "content": "Why do you have to turn degrees to radians", "session_id": 214, "sequence_id": 90, "annotations": []}
{"role": "volunteer", "content": "Because radians are the natural measure in mathematics.", "session_id": 214, "sequence_id": 91, "annotations": []}
{"role": "volunteer", "content": "You will not get real answers without radiance.", "session_id": 214, "sequence_id": 92, "annotations": []}
{"role": "student", "content": "so in real world we use radians and not degrees or", "session_id": 214, "sequence_id": 93, "annotations": []}
{"role": "volunteer", "content": "In calculus, physics, etc. Yes, you will have to use radians because your answers will not work.", "session_id": 214, "sequence_id": 94, "annotations": []}
{"role": "volunteer", "content": "if you do it in degrees", "session_id": 214, "sequence_id": 95, "annotations": []}
{"role": "volunteer", "content": "All right. You're doing great.", "session_id": 214, "sequence_id": 96, "annotations": []}
{"role": "student", "content": "hmm", "session_id": 214, "sequence_id": 97, "annotations": []}
{"role": "volunteer", "content": "So I think it's just your area formula you were just using, right?", "session_id": 214, "sequence_id": 98, "annotations": []}
{"role": "student", "content": "I think so", "session_id": 214, "sequence_id": 99, "annotations": []}
{"role": "student", "content": "i dont have another area formula rn", "session_id": 214, "sequence_id": 100, "annotations": []}
{"role": "volunteer", "content": "Good.", "session_id": 214, "sequence_id": 101, "annotations": []}
{"role": "volunteer", "content": "You seem to have this subject matter done very well.", "session_id": 214, "sequence_id": 102, "annotations": []}
{"role": "student", "content": "Thanks", "session_id": 214, "sequence_id": 103, "annotations": []}
{"role": "volunteer", "content": "You're welcome. You did great", "session_id": 214, "sequence_id": 104, "annotations": []}
{"role": "student", "content": "I have a test on this in like an hour so", "session_id": 214, "sequence_id": 105, "annotations": []}
{"role": "student", "content": "I should be ready lol", "session_id": 214, "sequence_id": 106, "annotations": []}
{"role": "volunteer", "content": "You'll do fantastic.", "session_id": 214, "sequence_id": 107, "annotations": []}
{"role": "volunteer", "content": "You have a great day", "session_id": 214, "sequence_id": 108, "annotations": []}
{"role": "student", "content": "Oh", "session_id": 214, "sequence_id": 109, "annotations": []}
{"role": "volunteer", "content": "Oh, you have more, I'm sorry", "session_id": 214, "sequence_id": 110, "annotations": []}
{"role": "student", "content": "Yeah lol", "session_id": 214, "sequence_id": 111, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 214, "sequence_id": 112, "annotations": []}
{"role": "student", "content": "It's a lot of questions haha", "session_id": 214, "sequence_id": 113, "annotations": []}
{"role": "student", "content": "isn't it like", "session_id": 214, "sequence_id": 114, "annotations": []}
{"role": "student", "content": "(x, y)", "session_id": 214, "sequence_id": 115, "annotations": []}
{"role": "student", "content": "(cos, sin)", "session_id": 214, "sequence_id": 116, "annotations": []}
{"role": "volunteer", "content": "Yeah, XY. You're, you're doing fine. Y over over X", "session_id": 214, "sequence_id": 117, "annotations": []}
{"role": "volunteer", "content": "and then the reverse", "session_id": 214, "sequence_id": 118, "annotations": []}
{"role": "student", "content": "I'm not as good at this", "session_id": 214, "sequence_id": 119, "annotations": []}
{"role": "volunteer", "content": "you're doing fine. You're, you're exactly right.", "session_id": 214, "sequence_id": 120, "annotations": []}
{"role": "volunteer", "content": "Perfect.", "session_id": 214, "sequence_id": 121, "annotations": []}
{"role": "volunteer", "content": "345 triangle", "session_id": 214, "sequence_id": 122, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 214, "sequence_id": 123, "annotations": []}
{"role": "student", "content": "wait so theta is always where the origin is", "session_id": 214, "sequence_id": 124, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 214, "sequence_id": 125, "annotations": []}
{"role": "volunteer", "content": "right.", "session_id": 214, "sequence_id": 126, "annotations": []}
{"role": "volunteer", "content": "Super job", "session_id": 214, "sequence_id": 127, "annotations": []}
{"role": "volunteer", "content": "Mhm", "session_id": 214, "sequence_id": 128, "annotations": []}
{"role": "volunteer", "content": "Right, it's positive", "session_id": 214, "sequence_id": 129, "annotations": []}
{"role": "volunteer", "content": "Perfect", "session_id": 214, "sequence_id": 130, "annotations": []}
{"role": "student", "content": "negatives counter each other", "session_id": 214, "sequence_id": 131, "annotations": []}
{"role": "volunteer", "content": "right", "session_id": 214, "sequence_id": 132, "annotations": []}
{"role": "volunteer", "content": "OK.", "session_id": 214, "sequence_id": 133, "annotations": []}
{"role": "student", "content": "Is this irght?", "session_id": 214, "sequence_id": 134, "annotations": []}
{"role": "volunteer", "content": "Uh, yeah, it looks good to me.", "session_id": 214, "sequence_id": 135, "annotations": []}
{"role": "volunteer", "content": "Yes.", "session_id": 214, "sequence_id": 136, "annotations": []}
{"role": "volunteer", "content": "Good", "session_id": 214, "sequence_id": 137, "annotations": []}
{"role": "student", "content": "is there a sign that means undefined", "session_id": 214, "sequence_id": 138, "annotations": []}
{"role": "volunteer", "content": "Um", "session_id": 214, "sequence_id": 139, "annotations": []}
{"role": "volunteer", "content": "no, I don't think so", "session_id": 214, "sequence_id": 140, "annotations": []}
{"role": "volunteer", "content": "You got it", "session_id": 214, "sequence_id": 141, "annotations": []}
{"role": "student", "content": "2pi is just the same as 0", "session_id": 214, "sequence_id": 142, "annotations": []}
{"role": "volunteer", "content": "Yeah.", "session_id": 214, "sequence_id": 143, "annotations": []}
{"role": "student", "content": "cause cycle starts again", "session_id": 214, "sequence_id": 144, "annotations": []}
{"role": "volunteer", "content": "right", "session_id": 214, "sequence_id": 145, "annotations": []}
{"role": "volunteer", "content": "Mhm", "session_id": 214, "sequence_id": 146, "annotations": []}
{"role": "volunteer", "content": "Yup", "session_id": 214, "sequence_id": 147, "annotations": []}
{"role": "volunteer", "content": "Good", "session_id": 214, "sequence_id": 148, "annotations": []}
{"role": "volunteer", "content": "Correct", "session_id": 214, "sequence_id": 149, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 214, "sequence_id": 150, "annotations": []}
{"role": "volunteer", "content": "Good", "session_id": 214, "sequence_id": 151, "annotations": []}
{"role": "volunteer", "content": "Right", "session_id": 214, "sequence_id": 152, "annotations": []}
{"role": "volunteer", "content": "Mhm", "session_id": 214, "sequence_id": 153, "annotations": []}
{"role": "volunteer", "content": "We're 17", "session_id": 214, "sequence_id": 154, "annotations": []}
{"role": "student", "content": "I was gonna put the 1", "session_id": 214, "sequence_id": 155, "annotations": []}
{"role": "student", "content": "but thats not needed", "session_id": 214, "sequence_id": 156, "annotations": []}
{"role": "volunteer", "content": "All right", "session_id": 214, "sequence_id": 157, "annotations": []}
{"role": "volunteer", "content": "Good", "session_id": 214, "sequence_id": 158, "annotations": []}
{"role": "student", "content": "so reference angle", "session_id": 214, "sequence_id": 159, "annotations": []}
{"role": "volunteer", "content": "60 degrees", "session_id": 214, "sequence_id": 160, "annotations": []}
{"role": "student", "content": "angle minus-180 right?", "session_id": 214, "sequence_id": 161, "annotations": []}
{"role": "volunteer", "content": "Right.", "session_id": 214, "sequence_id": 162, "annotations": []}
{"role": "volunteer", "content": "Yup", "session_id": 214, "sequence_id": 163, "annotations": []}
{"role": "student", "content": "Sorry this one is a lil harder for me", "session_id": 214, "sequence_id": 164, "annotations": []}
{"role": "student", "content": "honestly i prefer to convert here", "session_id": 214, "sequence_id": 165, "annotations": []}
{"role": "volunteer", "content": "That's fine", "session_id": 214, "sequence_id": 166, "annotations": []}
{"role": "volunteer", "content": "That's good. I do too", "session_id": 214, "sequence_id": 167, "annotations": []}
{"role": "student", "content": "60 right?", "session_id": 214, "sequence_id": 168, "annotations": []}
{"role": "volunteer", "content": "That should be negative", "session_id": 214, "sequence_id": 169, "annotations": []}
{"role": "student", "content": "oh yeah", "session_id": 214, "sequence_id": 170, "annotations": []}
{"role": "student", "content": "whoops", "session_id": 214, "sequence_id": 171, "annotations": []}
{"role": "volunteer", "content": "not the 2. Put it on the negative on the square to 3.", "session_id": 214, "sequence_id": 172, "annotations": []}
{"role": "volunteer", "content": "Yeah, there you go", "session_id": 214, "sequence_id": 173, "annotations": []}
{"role": "student", "content": "sec is recipricol of cos", "session_id": 214, "sequence_id": 174, "annotations": []}
{"role": "volunteer", "content": "Right.", "session_id": 214, "sequence_id": 175, "annotations": []}
{"role": "student", "content": "so hyp/adj", "session_id": 214, "sequence_id": 176, "annotations": []}
{"role": "volunteer", "content": "right", "session_id": 214, "sequence_id": 177, "annotations": []}
{"role": "student", "content": "just 2", "session_id": 214, "sequence_id": 178, "annotations": []}
{"role": "student", "content": "i think", "session_id": 214, "sequence_id": 179, "annotations": []}
{"role": "volunteer", "content": "Uh, let's see. So hypotenuse over adjacent", "session_id": 214, "sequence_id": 180, "annotations": []}
{"role": "volunteer", "content": "yep.", "session_id": 214, "sequence_id": 181, "annotations": []}
{"role": "student", "content": "honestly what i do", "session_id": 214, "sequence_id": 182, "annotations": []}
{"role": "student", "content": "is like for the pi i see 11pi/6", "session_id": 214, "sequence_id": 183, "annotations": []}
{"role": "student", "content": "it needs simplification", "session_id": 214, "sequence_id": 184, "annotations": []}
{"role": "student", "content": "so i jsut convert that", "session_id": 214, "sequence_id": 185, "annotations": []}
{"role": "volunteer", "content": "11 times", "session_id": 214, "sequence_id": 186, "annotations": []}
{"role": "volunteer", "content": "30.", "session_id": 214, "sequence_id": 187, "annotations": []}
{"role": "volunteer", "content": "should be 330 degrees.", "session_id": 214, "sequence_id": 188, "annotations": []}
{"role": "student", "content": "yeah i just convert the reference angle", "session_id": 214, "sequence_id": 189, "annotations": []}
{"role": "volunteer", "content": "It should be -1", "session_id": 214, "sequence_id": 190, "annotations": []}
{"role": "volunteer", "content": "There you go", "session_id": 214, "sequence_id": 191, "annotations": []}
{"role": "volunteer", "content": "Right.", "session_id": 214, "sequence_id": 192, "annotations": []}
{"role": "volunteer", "content": "Correct", "session_id": 214, "sequence_id": 193, "annotations": []}
{"role": "student", "content": "csc recipricol of sin", "session_id": 214, "sequence_id": 194, "annotations": []}
{"role": "volunteer", "content": "Right", "session_id": 214, "sequence_id": 195, "annotations": []}
{"role": "student", "content": "hyp/opp", "session_id": 214, "sequence_id": 196, "annotations": []}
{"role": "volunteer", "content": "Mhm", "session_id": 214, "sequence_id": 197, "annotations": []}
{"role": "student", "content": "wait", "session_id": 214, "sequence_id": 198, "annotations": []}
{"role": "student", "content": "cos 180", "session_id": 214, "sequence_id": 199, "annotations": []}
{"role": "volunteer", "content": "-1", "session_id": 214, "sequence_id": 200, "annotations": []}
{"role": "volunteer", "content": "Good.", "session_id": 214, "sequence_id": 201, "annotations": []}
{"role": "student", "content": "wait how do u", "session_id": 214, "sequence_id": 202, "annotations": []}
{"role": "volunteer", "content": "That's a unit circle. It's really not a triangle.", "session_id": 214, "sequence_id": 203, "annotations": []}
{"role": "volunteer", "content": "just", "session_id": 214, "sequence_id": 204, "annotations": []}
{"role": "volunteer", "content": "not really a triangle", "session_id": 214, "sequence_id": 205, "annotations": []}
{"role": "volunteer", "content": "just uh", "session_id": 214, "sequence_id": 206, "annotations": []}
{"role": "volunteer", "content": "limit if you will", "session_id": 214, "sequence_id": 207, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 214, "sequence_id": 208, "annotations": []}
{"role": "volunteer", "content": "Very good. You're you're doing fantastic. You don't need much help at all.", "session_id": 214, "sequence_id": 209, "annotations": []}
{"role": "student", "content": "I have to go", "session_id": 214, "sequence_id": 210, "annotations": []}
{"role": "volunteer", "content": "Bye", "session_id": 214, "sequence_id": 211, "annotations": []}
{"role": "student", "content": "I had a few more questions but", "session_id": 214, "sequence_id": 212, "annotations": []}
{"role": "student", "content": "I think I'm pretty good", "session_id": 214, "sequence_id": 213, "annotations": []}
{"role": "student", "content": "Thank you for helping me", "session_id": 214, "sequence_id": 214, "annotations": []}
{"role": "volunteer", "content": "You're, you're, you're doing fantastic.", "session_id": 214, "sequence_id": 215, "annotations": []}
{"role": "volunteer", "content": "You're doing fantastic", "session_id": 214, "sequence_id": 216, "annotations": []}
{"role": "volunteer", "content": "You'll lace it", "session_id": 214, "sequence_id": 217, "annotations": []}
{"role": "student", "content": "Thank you", "session_id": 214, "sequence_id": 218, "annotations": []}
{"role": "student", "content": "Have a good day", "session_id": 214, "sequence_id": 219, "annotations": []}
{"role": "volunteer", "content": "Bye-bye now", "session_id": 214, "sequence_id": 220, "annotations": []}
{"role": "volunteer", "content": "You too.", "session_id": 214, "sequence_id": 221, "annotations": []}
{"role": "volunteer", "content": "Hi! How can I help?", "session_id": 202, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "homework please?", "session_id": 202, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "no problem, it looks like the problem only wants you to simplfiy", "session_id": 202, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "theres a rule you can use when there is an exponent outside the parentheses", "session_id": 202, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "you should always just multiple that number by the exponents on the inside", "session_id": 202, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "oki", "session_id": 202, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "for example we can do 5^(-2) and multiple the power by -2", "session_id": 202, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "so what is (-2)* (-2)?", "session_id": 202, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "for the option you selected, exponents will only go in the denominator if the power is negative", "session_id": 202, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "-4", "session_id": 202, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "you're close but you have the sign wrong", "session_id": 202, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "remember than negative times negative is positibe", "session_id": 202, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "positive*", "session_id": 202, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "yes, the answer you selected looks good, do you understand how you got it?", "session_id": 202, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "yes", "session_id": 202, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "okay is there another problem you need help with?", "session_id": 202, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "i gotta go i have class", "session_id": 202, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "hi", "session_id": 233, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "Hello, how are you?", "session_id": 233, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "good and you?", "session_id": 233, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "oh this", "session_id": 233, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "do you know where to start?", "session_id": 233, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "sin is opp/hyp", "session_id": 233, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "yeah", "session_id": 233, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "yeah you know how to do this", "session_id": 233, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "thats all correct", "session_id": 233, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "nice", "session_id": 233, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "im practicing for my test tmrw", "session_id": 233, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 233, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "but this is the easier stuff", "session_id": 233, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "but sometimes it's the easy stuff that people get wrong", "session_id": 233, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 233, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "this is Pythagorean right?", "session_id": 233, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 233, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "honestly if i were you i would just memorize the pythagorean triple", "session_id": 233, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "3 4 5 triangle", "session_id": 233, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "yeah", "session_id": 233, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "oh i was just tryna show some work", "session_id": 233, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "your teacher wants you to show that much work?", "session_id": 233, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "ehh", "session_id": 233, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "im not sure honestly", "session_id": 233, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "this is ap precalc or normal?", "session_id": 233, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "normal", "session_id": 233, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "you probably should then", "session_id": 233, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "my school doesnt even have ap precal lol", "session_id": 233, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "oh also", "session_id": 233, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "sin theta is off", "session_id": 233, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "wait", "session_id": 233, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "i read this wrong", "session_id": 233, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "alright", "session_id": 233, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "wait what", "session_id": 233, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "o yeah", "session_id": 233, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "i mis read this too lol", "session_id": 233, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "yeah thats all correct", "session_id": 233, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "nice", "session_id": 233, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 233, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "thats all correct too", "session_id": 233, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "7^2 is 49", "session_id": 233, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "not 63", "session_id": 233, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "lol", "session_id": 233, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "you got everything else its just that", "session_id": 233, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "lol", "session_id": 233, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "yeah thats all correct", "session_id": 233, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "NIce", "session_id": 233, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "ok good", "session_id": 233, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "you're forgetting something", "session_id": 233, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "for the 45 degrees", "session_id": 233, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 233, "sequence_id": 50, "annotations": []}
{"role": "student", "content": "mb", "session_id": 233, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "yeah", "session_id": 233, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "thats all correct", "session_id": 233, "sequence_id": 53, "annotations": []}
{"role": "student", "content": "nice", "session_id": 233, "sequence_id": 54, "annotations": []}
{"role": "student", "content": "i messed up a bit", "session_id": 233, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "thats fine", "session_id": 233, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "you corrected yourself", "session_id": 233, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "thats all correct", "session_id": 233, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "wait", "session_id": 233, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "yeah", "session_id": 233, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "thats all correct", "session_id": 233, "sequence_id": 61, "annotations": []}
{"role": "student", "content": "Wait I have to get a calcualtor", "session_id": 233, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "\ud83d\udc4d", "session_id": 233, "sequence_id": 63, "annotations": []}
{"role": "student", "content": "im back", "session_id": 233, "sequence_id": 64, "annotations": []}
{"role": "student", "content": "sorry for the delay", "session_id": 233, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "its ok", "session_id": 233, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "thats correct", "session_id": 233, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "slightly off", "session_id": 233, "sequence_id": 68, "annotations": []}
{"role": "student", "content": "is there liek a step by step thing", "session_id": 233, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "youre close", "session_id": 233, "sequence_id": 70, "annotations": []}
{"role": "student", "content": "wait", "session_id": 233, "sequence_id": 71, "annotations": []}
{"role": "student", "content": "mb", "session_id": 233, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "yeah", "session_id": 233, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "yeah you got it", "session_id": 233, "sequence_id": 74, "annotations": []}
{"role": "student", "content": "i forgot the step by step", "session_id": 233, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "yeah thats correct", "session_id": 233, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "thats fine", "session_id": 233, "sequence_id": 77, "annotations": []}
{"role": "student", "content": "so really i only got example 1 right on accident", "session_id": 233, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "oh", "session_id": 233, "sequence_id": 79, "annotations": []}
{"role": "student", "content": "but i remember now", "session_id": 233, "sequence_id": 80, "annotations": []}
{"role": "volunteer", "content": "ok good", "session_id": 233, "sequence_id": 81, "annotations": []}
{"role": "student", "content": "O = Opposite H = Hypothenuse A = Adjacent", "session_id": 233, "sequence_id": 82, "annotations": []}
{"role": "volunteer", "content": "yeah", "session_id": 233, "sequence_id": 83, "annotations": []}
{"role": "volunteer", "content": "correct", "session_id": 233, "sequence_id": 84, "annotations": []}
{"role": "student", "content": "I think that's the proper setup", "session_id": 233, "sequence_id": 85, "annotations": []}
{"role": "volunteer", "content": "it is", "session_id": 233, "sequence_id": 86, "annotations": []}
{"role": "volunteer", "content": "yeah", "session_id": 233, "sequence_id": 87, "annotations": []}
{"role": "volunteer", "content": "thats correct too", "session_id": 233, "sequence_id": 88, "annotations": []}
{"role": "student", "content": "I forgot", "session_id": 233, "sequence_id": 89, "annotations": []}
{"role": "student", "content": "degree sign", "session_id": 233, "sequence_id": 90, "annotations": []}
{"role": "student", "content": "whoops", "session_id": 233, "sequence_id": 91, "annotations": []}
{"role": "volunteer", "content": "thats fine", "session_id": 233, "sequence_id": 92, "annotations": []}
{"role": "volunteer", "content": "as long as you're catching it now", "session_id": 233, "sequence_id": 93, "annotations": []}
{"role": "volunteer", "content": "yeah thats a good start", "session_id": 233, "sequence_id": 94, "annotations": []}
{"role": "volunteer", "content": "uh", "session_id": 233, "sequence_id": 95, "annotations": []}
{"role": "volunteer", "content": "it shouldn't be 35/r", "session_id": 233, "sequence_id": 96, "annotations": []}
{"role": "volunteer", "content": "other way", "session_id": 233, "sequence_id": 97, "annotations": []}
{"role": "student", "content": "whoops", "session_id": 233, "sequence_id": 98, "annotations": []}
{"role": "volunteer", "content": "you can check yourself since the smaller angle should have the smaller side", "session_id": 233, "sequence_id": 99, "annotations": []}
{"role": "volunteer", "content": "so r cant be greater than 35", "session_id": 233, "sequence_id": 100, "annotations": []}
{"role": "volunteer", "content": "thats correct", "session_id": 233, "sequence_id": 101, "annotations": []}
{"role": "volunteer", "content": "yeah", "session_id": 233, "sequence_id": 102, "annotations": []}
{"role": "volunteer", "content": "thats all right", "session_id": 233, "sequence_id": 103, "annotations": []}
{"role": "volunteer", "content": "\ud83d\udc4d", "session_id": 233, "sequence_id": 104, "annotations": []}
{"role": "student", "content": "i just did", "session_id": 233, "sequence_id": 105, "annotations": []}
{"role": "student", "content": "35tan23 an squared it", "session_id": 233, "sequence_id": 106, "annotations": []}
{"role": "student", "content": "+ 35 squared", "session_id": 233, "sequence_id": 107, "annotations": []}
{"role": "volunteer", "content": "yeah", "session_id": 233, "sequence_id": 108, "annotations": []}
{"role": "student", "content": "then square root whole thing", "session_id": 233, "sequence_id": 109, "annotations": []}
{"role": "volunteer", "content": "thats good", "session_id": 233, "sequence_id": 110, "annotations": []}
{"role": "volunteer", "content": "you should do that it's a lto quicker", "session_id": 233, "sequence_id": 111, "annotations": []}
{"role": "volunteer", "content": "lot*", "session_id": 233, "sequence_id": 112, "annotations": []}
{"role": "student", "content": "okay", "session_id": 233, "sequence_id": 113, "annotations": []}
{"role": "student", "content": "also maybe its a good way", "session_id": 233, "sequence_id": 114, "annotations": []}
{"role": "student", "content": "to double check", "session_id": 233, "sequence_id": 115, "annotations": []}
{"role": "volunteer", "content": "yeah", "session_id": 233, "sequence_id": 116, "annotations": []}
{"role": "volunteer", "content": "yeah thats correct too", "session_id": 233, "sequence_id": 117, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 233, "sequence_id": 118, "annotations": []}
{"role": "student", "content": "is that how u do depression", "session_id": 233, "sequence_id": 119, "annotations": []}
{"role": "student", "content": "or do u just put 27 on the bottom", "session_id": 233, "sequence_id": 120, "annotations": []}
{"role": "volunteer", "content": "yeah", "session_id": 233, "sequence_id": 121, "annotations": []}
{"role": "volunteer", "content": "you got it", "session_id": 233, "sequence_id": 122, "annotations": []}
{"role": "student", "content": "last question of the session cause i think ima go to sleep", "session_id": 233, "sequence_id": 123, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 233, "sequence_id": 124, "annotations": []}
{"role": "volunteer", "content": "that parts correct", "session_id": 233, "sequence_id": 125, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 233, "sequence_id": 126, "annotations": []}
{"role": "volunteer", "content": "last step", "session_id": 233, "sequence_id": 127, "annotations": []}
{"role": "volunteer", "content": "yeah", "session_id": 233, "sequence_id": 128, "annotations": []}
{"role": "volunteer", "content": "thats the answer", "session_id": 233, "sequence_id": 129, "annotations": []}
{"role": "volunteer", "content": "thats correct too", "session_id": 233, "sequence_id": 130, "annotations": []}
{"role": "volunteer", "content": "you should be fine for your test you got bascially everything correct with no help", "session_id": 233, "sequence_id": 131, "annotations": []}
{"role": "student", "content": "Thank you for checking my answers", "session_id": 233, "sequence_id": 132, "annotations": []}
{"role": "volunteer", "content": "no problem", "session_id": 233, "sequence_id": 133, "annotations": []}
{"role": "volunteer", "content": "have a great rest of your night", "session_id": 233, "sequence_id": 134, "annotations": []}
{"role": "student", "content": "Have a nice night", "session_id": 233, "sequence_id": 135, "annotations": []}
{"role": "volunteer", "content": "bye", "session_id": 233, "sequence_id": 136, "annotations": []}
{"role": "student", "content": "Bye", "session_id": 233, "sequence_id": 137, "annotations": []}
{"role": "volunteer", "content": "hi", "session_id": 254, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "Hello, can you please turn on your mic.", "session_id": 254, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "Hello", "session_id": 254, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "Oh, I got speak the, can you, can you talk?", "session_id": 254, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "Yeah, can", "session_id": 254, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "I wanna see what, oh yeah, I can hear you.", "session_id": 254, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "All right", "session_id": 254, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "You can hear me.", "session_id": 254, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "Yeah, I can hear you", "session_id": 254, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "OK, I'm gonna try to share my screen for the problem I have.", "session_id": 254, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "OK, this is the problem I'm working on.", "session_id": 254, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "All right.", "session_id": 254, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "I'm trying to place", "session_id": 254, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "on the board", "session_id": 254, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "Alright, just I uh something that was given by that.", "session_id": 254, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "Do you know how to start it off at least, or you just have no idea.", "session_id": 254, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "Oh", "session_id": 254, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "right", "session_id": 254, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "Well, I know it's something about inverse, but I", "session_id": 254, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "Mm", "session_id": 254, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "Mm.", "session_id": 254, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "I'm not sure about it", "session_id": 254, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "All right. So, you can see it's Y equals 4 times.", "session_id": 254, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "3 x minus 2 + 1.", "session_id": 254, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "I can't draw on this, uh.", "session_id": 254, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "I'll say, I'll just", "session_id": 254, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "try to upload it to the white board.", "session_id": 254, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "00, you want me to upload it.", "session_id": 254, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "It's fine. I got it", "session_id": 254, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "OK", "session_id": 254, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "It keeps failing to connect to the whiteboard.", "session_id": 254, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "Try to upload it, but it just doesn't work.", "session_id": 254, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "See, I", "session_id": 254, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "this open", "session_id": 254, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "I finally", "session_id": 254, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "This is a calculator problem or non cal.", "session_id": 254, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "Uh, it's a precock.", "session_id": 254, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "I mean calculator non-cal.", "session_id": 254, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 254, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "Um", "session_id": 254, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "oh no, oh, yeah, we got back.", "session_id": 254, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "All right, well, that's good.", "session_id": 254, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "We're gonna.", "session_id": 254, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "All right, so, first of all,", "session_id": 254, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "you're just not gonna let me draw.", "session_id": 254, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "I shot it, you know what I'm saying.", "session_id": 254, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "uh", "session_id": 254, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "you know", "session_id": 254, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "Some fishperal like make stuff like this easier just set F of X to Y. So just say like why", "session_id": 254, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "why I just say uh Y equals 4 times 3 x minus 2 + 1.", "session_id": 254, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "So now you have to just switch XMY and sulfur X. Do you know how to do that?", "session_id": 254, "sequence_id": 50, "annotations": []}
{"role": "student", "content": "OK, so you said first what just by its itself was right.", "session_id": 254, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "turn it over, and how long?", "session_id": 254, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "You have to solve", "session_id": 254, "sequence_id": 53, "annotations": []}
{"role": "student", "content": "Yeah.", "session_id": 254, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "Yeah, can you hear me? I'm trying to like, OK, finally connected.", "session_id": 254, "sequence_id": 55, "annotations": []}
{"role": "student", "content": "Yeah, I heard about the switching the sizes. Can you explain it to me?", "session_id": 254, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "OK, so you have the equation Y is equal to 4.", "session_id": 254, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "times 3 the power of x minus 2.", "session_id": 254, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "+ 1", "session_id": 254, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "then obviously why", "session_id": 254, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "Y equals fx.", "session_id": 254, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "Nice", "session_id": 254, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "Things just broken today, won't let me finally Alpha X.", "session_id": 254, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "So what you have to do is", "session_id": 254, "sequence_id": 64, "annotations": []}
{"role": "student", "content": "Wait, are you riding on the board?", "session_id": 254, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "yeah", "session_id": 254, "sequence_id": 66, "annotations": []}
{"role": "student", "content": "Cause I can't see nothing. It's blank.", "session_id": 254, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "but I think your thing is just not connected then because", "session_id": 254, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "it's fine. Um, I don't think.", "session_id": 254, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "Honestly, I might just type it and chat at this point.", "session_id": 254, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 254, "sequence_id": 71, "annotations": []}
{"role": "student", "content": "Or you can just tell me and I'll write it on my, on my notebook.", "session_id": 254, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "So you have, why is equal to 4 times 3 to the power of x minus 2 + 1.", "session_id": 254, "sequence_id": 73, "annotations": []}
{"role": "student", "content": "Mhm", "session_id": 254, "sequence_id": 74, "annotations": []}
{"role": "volunteer", "content": "So now", "session_id": 254, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "you have to isolate and solve for X. Do you know how to do that?", "session_id": 254, "sequence_id": 76, "annotations": []}
{"role": "student", "content": "Yeah, yeah.", "session_id": 254, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "So what's the", "session_id": 254, "sequence_id": 78, "annotations": []}
{"role": "student", "content": "not exponent.", "session_id": 254, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "OK, so what's the first step you're gonna do?", "session_id": 254, "sequence_id": 80, "annotations": []}
{"role": "student", "content": "Um, is it, um", "session_id": 254, "sequence_id": 81, "annotations": []}
{"role": "student", "content": "subtract one?", "session_id": 254, "sequence_id": 82, "annotations": []}
{"role": "volunteer", "content": "Yeah.", "session_id": 254, "sequence_id": 83, "annotations": []}
{"role": "volunteer", "content": "That's the first thing. Uh, do you know what the second thing is?", "session_id": 254, "sequence_id": 84, "annotations": []}
{"role": "student", "content": "So Y minus 1 equals 4 times 3 risk by exqui.", "session_id": 254, "sequence_id": 85, "annotations": []}
{"role": "student", "content": "Um", "session_id": 254, "sequence_id": 86, "annotations": []}
{"role": "student", "content": "would it be to subtract 4?", "session_id": 254, "sequence_id": 87, "annotations": []}
{"role": "volunteer", "content": "It's 4 times 3 x minus 2. So, to get rid of the 4, you have to divide.", "session_id": 254, "sequence_id": 88, "annotations": []}
{"role": "student", "content": "OK", "session_id": 254, "sequence_id": 89, "annotations": []}
{"role": "student", "content": "Oh, so how does that work", "session_id": 254, "sequence_id": 90, "annotations": []}
{"role": "student", "content": "So what would it be", "session_id": 254, "sequence_id": 91, "annotations": []}
{"role": "volunteer", "content": "So why minus 1/4 is equal to the equal to 3 to the power of x minus 2.", "session_id": 254, "sequence_id": 92, "annotations": []}
{"role": "volunteer", "content": "because when you multiply, you have to divide to get rid of it, you know.", "session_id": 254, "sequence_id": 93, "annotations": []}
{"role": "student", "content": "Mhm.", "session_id": 254, "sequence_id": 94, "annotations": []}
{"role": "student", "content": "What about the exponent", "session_id": 254, "sequence_id": 95, "annotations": []}
{"role": "volunteer", "content": "OK. Wait, can you see uh what I'm drawing now.", "session_id": 254, "sequence_id": 96, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 254, "sequence_id": 97, "annotations": []}
{"role": "volunteer", "content": "OK, now it works. OK, so you have", "session_id": 254, "sequence_id": 98, "annotations": []}
{"role": "volunteer", "content": "why is equal to", "session_id": 254, "sequence_id": 99, "annotations": []}
{"role": "volunteer", "content": "4 times 3 x minus 2.", "session_id": 254, "sequence_id": 100, "annotations": []}
{"role": "volunteer", "content": "+ 1", "session_id": 254, "sequence_id": 101, "annotations": []}
{"role": "volunteer", "content": "So isolating first, you subtract one.", "session_id": 254, "sequence_id": 102, "annotations": []}
{"role": "volunteer", "content": "Next thing you do is divide by 4.", "session_id": 254, "sequence_id": 103, "annotations": []}
{"role": "volunteer", "content": "which that's where we're on right now.", "session_id": 254, "sequence_id": 104, "annotations": []}
{"role": "volunteer", "content": "So why minus 1/4.", "session_id": 254, "sequence_id": 105, "annotations": []}
{"role": "volunteer", "content": "equal to 3 to the power of x minus 2.", "session_id": 254, "sequence_id": 106, "annotations": []}
{"role": "volunteer", "content": "OK. Do you know how to", "session_id": 254, "sequence_id": 107, "annotations": []}
{"role": "volunteer", "content": "uh get rid of the base 3.", "session_id": 254, "sequence_id": 108, "annotations": []}
{"role": "student", "content": "No", "session_id": 254, "sequence_id": 109, "annotations": []}
{"role": "volunteer", "content": "OK, so do you know logarithms at all?", "session_id": 254, "sequence_id": 110, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 254, "sequence_id": 111, "annotations": []}
{"role": "volunteer", "content": "OK, so", "session_id": 254, "sequence_id": 112, "annotations": []}
{"role": "volunteer", "content": "let's say you have like log", "session_id": 254, "sequence_id": 113, "annotations": []}
{"role": "volunteer", "content": "of", "session_id": 254, "sequence_id": 114, "annotations": []}
{"role": "volunteer", "content": "10 to the power of like", "session_id": 254, "sequence_id": 115, "annotations": []}
{"role": "volunteer", "content": "3", "session_id": 254, "sequence_id": 116, "annotations": []}
{"role": "volunteer", "content": "And then if you don't know log-based nothing is just log-based 10. It's just a simplified way of writing it. So what would the answer of this be?", "session_id": 254, "sequence_id": 117, "annotations": []}
{"role": "student", "content": "The answer is log 10 cubes.", "session_id": 254, "sequence_id": 118, "annotations": []}
{"role": "student", "content": "which is", "session_id": 254, "sequence_id": 119, "annotations": []}
{"role": "volunteer", "content": "No, uh, that's not the answer. It's just an example. What would the answer of this be?", "session_id": 254, "sequence_id": 120, "annotations": []}
{"role": "student", "content": "with the answer of what?", "session_id": 254, "sequence_id": 121, "annotations": []}
{"role": "volunteer", "content": "A log 10 cubed.", "session_id": 254, "sequence_id": 122, "annotations": []}
{"role": "student", "content": "Is it one", "session_id": 254, "sequence_id": 123, "annotations": []}
{"role": "student", "content": "No.", "session_id": 254, "sequence_id": 124, "annotations": []}
{"role": "student", "content": "OK, so log X of X is one.", "session_id": 254, "sequence_id": 125, "annotations": []}
{"role": "volunteer", "content": "log base, yeah, X is equal to 1.", "session_id": 254, "sequence_id": 126, "annotations": []}
{"role": "student", "content": "So logba 10 cubed.", "session_id": 254, "sequence_id": 127, "annotations": []}
{"role": "student", "content": "log 10 cubed.", "session_id": 254, "sequence_id": 128, "annotations": []}
{"role": "student", "content": "um.", "session_id": 254, "sequence_id": 129, "annotations": []}
{"role": "student", "content": "is it 3?", "session_id": 254, "sequence_id": 130, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 254, "sequence_id": 131, "annotations": []}
{"role": "volunteer", "content": "basically log-based", "session_id": 254, "sequence_id": 132, "annotations": []}
{"role": "volunteer", "content": "10 of N is just equal to n.", "session_id": 254, "sequence_id": 133, "annotations": []}
{"role": "volunteer", "content": "So like log", "session_id": 254, "sequence_id": 134, "annotations": []}
{"role": "volunteer", "content": "up 10 cubs equal to 3. OK. So in this case", "session_id": 254, "sequence_id": 135, "annotations": []}
{"role": "volunteer", "content": "to get rid of the base 3, all you have to do is just do log", "session_id": 254, "sequence_id": 136, "annotations": []}
{"role": "volunteer", "content": "of 3", "session_id": 254, "sequence_id": 137, "annotations": []}
{"role": "volunteer", "content": "3", "session_id": 254, "sequence_id": 138, "annotations": []}
{"role": "volunteer", "content": "of Y minus 1 of", "session_id": 254, "sequence_id": 139, "annotations": []}
{"role": "volunteer", "content": "divided by 4", "session_id": 254, "sequence_id": 140, "annotations": []}
{"role": "volunteer", "content": "That just equals x minus 2.", "session_id": 254, "sequence_id": 141, "annotations": []}
{"role": "volunteer", "content": "Do you see how that works, sir?", "session_id": 254, "sequence_id": 142, "annotations": []}
{"role": "student", "content": "Mhm", "session_id": 254, "sequence_id": 143, "annotations": []}
{"role": "volunteer", "content": "right", "session_id": 254, "sequence_id": 144, "annotations": []}
{"role": "volunteer", "content": "So then, to isolate X, the last thing you would need to do is just add to. So log", "session_id": 254, "sequence_id": 145, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 254, "sequence_id": 146, "annotations": []}
{"role": "volunteer", "content": "So now you have", "session_id": 254, "sequence_id": 147, "annotations": []}
{"role": "volunteer", "content": "GFX", "session_id": 254, "sequence_id": 148, "annotations": []}
{"role": "volunteer", "content": "So G", "session_id": 254, "sequence_id": 149, "annotations": []}
{"role": "volunteer", "content": "So now you can, the first part's completed. You've found G of X, which is F inversive X. Do you know how to do the second part?", "session_id": 254, "sequence_id": 150, "annotations": []}
{"role": "student", "content": "Is it imputing -3?", "session_id": 254, "sequence_id": 151, "annotations": []}
{"role": "volunteer", "content": "A what", "session_id": 254, "sequence_id": 152, "annotations": []}
{"role": "student", "content": "Is it", "session_id": 254, "sequence_id": 153, "annotations": []}
{"role": "volunteer", "content": "Uh, input it where", "session_id": 254, "sequence_id": 154, "annotations": []}
{"role": "student", "content": "In the X", "session_id": 254, "sequence_id": 155, "annotations": []}
{"role": "volunteer", "content": "Uh, no, because it's asking um the values of GFX equals -3 x. So you would just replace this value with -3 X.", "session_id": 254, "sequence_id": 156, "annotations": []}
{"role": "student", "content": "Oh", "session_id": 254, "sequence_id": 157, "annotations": []}
{"role": "volunteer", "content": "Right.", "session_id": 254, "sequence_id": 158, "annotations": []}
{"role": "volunteer", "content": "So now, since you have a calculator, you should just be able to do this on a calculator.", "session_id": 254, "sequence_id": 159, "annotations": []}
{"role": "student", "content": "OK", "session_id": 254, "sequence_id": 160, "annotations": []}
{"role": "volunteer", "content": "and sulfur X.", "session_id": 254, "sequence_id": 161, "annotations": []}
{"role": "student", "content": "OK", "session_id": 254, "sequence_id": 162, "annotations": []}
{"role": "volunteer", "content": "Do you know how to do that", "session_id": 254, "sequence_id": 163, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 254, "sequence_id": 164, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 254, "sequence_id": 165, "annotations": []}
{"role": "volunteer", "content": "So then the answer is just X is equal to 1 point.", "session_id": 254, "sequence_id": 166, "annotations": []}
{"role": "volunteer", "content": "806", "session_id": 254, "sequence_id": 167, "annotations": []}
{"role": "student", "content": "OK. Thank you.", "session_id": 254, "sequence_id": 168, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 254, "sequence_id": 169, "annotations": []}
{"role": "volunteer", "content": "Anything else you need help with there? Is that it?", "session_id": 254, "sequence_id": 170, "annotations": []}
{"role": "student", "content": "Mhm", "session_id": 254, "sequence_id": 171, "annotations": []}
{"role": "volunteer", "content": "OK. Have a great day", "session_id": 254, "sequence_id": 172, "annotations": []}
{"role": "volunteer", "content": "Bye.", "session_id": 254, "sequence_id": 173, "annotations": []}
{"role": "volunteer", "content": "Hello! What would you like help with today?", "session_id": 269, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "yes i need help finding gcf and multiples to deal with fractions please", "session_id": 269, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "Of course! To find gcf you can start by understanding what two numbers multiply by each other to find a number, and by searching through those numbers you can find which two are the greatest. Would you like to see an example?", "session_id": 269, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "yes please", "session_id": 269, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "Of course!", "session_id": 269, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "So here it would be best to use a tree and the easiest way to do this would be to start with the number 2 if even or 3 if odd and continue from there!", "session_id": 269, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "72 divided by 2 is what?", "session_id": 269, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "36", "session_id": 269, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "Exactly so we could model it such as what I will now show on the whiteboard", "session_id": 269, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "Now what is 36 divided by 2?", "session_id": 269, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "18?", "session_id": 269, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "Yes so now we can split it into 2 and 18", "session_id": 269, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "Now we would be able to continue this process until we have all of the factors", "session_id": 269, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "Okay that's make sense!", "session_id": 269, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "Yes of course! Is there anything else you may need?", "session_id": 269, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "Yes could you go over how to divide fractions for me, like how would I do 6/8 divided  by 9/5", "session_id": 269, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "Sure of course! Do you understand the concept of keep, change, flip?", "session_id": 269, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "I think I heard about it in my math class yes", "session_id": 269, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "Great it's essentially how you handle division with fractions!", "session_id": 269, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "You want to keep the first number change the division symbol to multiplication and then flip the other fraction", "session_id": 269, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "does this make sense?", "session_id": 269, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "yes sorry for delay i have to go now", "session_id": 269, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "Hi David, how can I help you?", "session_id": 318, "sequence_id": 0, "annotations": [{"pii_type": "PERSON", "surrogate": "David", "start": 3, "end": 8}]}
{"role": "student", "content": "Hi can you help me with this question because lm a little confused", "session_id": 318, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "Sure, what is the question?", "session_id": 318, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "I put it on the white bored ", "session_id": 318, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "So, there are 3 parts to this question, correct?", "session_id": 318, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 318, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "First, what is a median?", "session_id": 318, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "To find that would we need to find the midpoint", "session_id": 318, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "Yes, good!", "session_id": 318, "sequence_id": 8, "annotations": []}
{"role": "student", "content": " So the mid point would be (1+-3) divide 2 and (4+-1) divide 2", "session_id": 318, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "You want to find the midpoint  of side KL, correct?", "session_id": 318, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "No the question said find the median of J ", "session_id": 318, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "The median from vertex J goes to the midpoint of side KL?", "session_id": 318, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "Oh is that it", "session_id": 318, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "I thought it was j and k", "session_id": 318, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "Yes, the median is the line from the named vertex to the opposite side.", "session_id": 318, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "First, you want to find the median from vertex J, correct?", "session_id": 318, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 318, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "So, you need to find the midpoint of side KL.", "session_id": 318, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "Oh okay", "session_id": 318, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "So -3+3 divide 2 and -1+-4 divide 2", "session_id": 318, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "Yes, good!", "session_id": 318, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "What is the result?", "session_id": 318, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "I got 0,1.5", "session_id": 318, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "I like 0, but how did you get 1.5?", "session_id": 318, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "Well because of the -1+ 4", "session_id": 318, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "You get 3 then divide it by 2", "session_id": 318, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "I think it's -1 + -4 = -5 divide by 2 = -2.5", "session_id": 318, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "Oh yes okay ", "session_id": 318, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "So now we have 2 points (1,4) and (0,-2.5)", "session_id": 318, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 318, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "Can you find the equation of the line between 2 points?", "session_id": 318, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "Is that the equation y=mx+b", "session_id": 318, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "Yes, that will work.", "session_id": 318, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "But how do l know where to put the points in", "session_id": 318, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "You have the coordinates of 2 points.  Can you find the slope, m?", "session_id": 318, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "Hello! how can i help you Sarah?", "session_id": 344, "sequence_id": 0, "annotations": [{"pii_type": "PERSON", "surrogate": "Sarah", "start": 26, "end": 31}]}
{"role": "student", "content": "I'm sorry I might be a little off an on", "session_id": 344, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "I need help with an assignment though", "session_id": 344, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "homework", "session_id": 344, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "Thats fine! what is it related to?", "session_id": 344, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "you can show your screen or upload a picture if you need to", "session_id": 344, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "no pressure!", "session_id": 344, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "I can upload a picture", "session_id": 344, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "it might be blurry I'm sorry", "session_id": 344, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "its fine", "session_id": 344, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "is it related to this?", "session_id": 344, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "the question is not full so im not sure if this is whats its referring too :)", "session_id": 344, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "if so, the rule being used is the subtraction prop. because we are subtracting by -4!", "session_id": 344, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "ok", "session_id": 344, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "I am so sorry for not responding right away", "session_id": 344, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "its fine !", "session_id": 344, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "is their any more problems?", "session_id": 344, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "also for questions like this i would review these rules and how they apply to equations :)", "session_id": 344, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "um one moment I'll put it up on the board", "session_id": 344, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "ok", "session_id": 344, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "based the prop of equality can you infer on what prop it is?", "session_id": 344, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "um I don't know", "session_id": 344, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "I'm sorry", "session_id": 344, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "thats okay! in the image i provided, im not sure if you can see it, the division property says a = b, then a/c = b/c. we can see if the problem that both sides are being multiplied by 10!", "session_id": 344, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "ok", "session_id": 344, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "sorry i meant division, mb \ud83d\ude05", "session_id": 344, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "both sides are being divided by 10*", "session_id": 344, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "its ok lol", "session_id": 344, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "post the next problem when you are ready, or tell me if you dont understand a rule!", "session_id": 344, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "if you have a test soon these sources are great to study the material: Professor Davis> 10th Grade, www.mathpractice.com ( practice quiz), and flash cards www.quizlet.org/math_cards", "session_id": 344, "sequence_id": 29, "annotations": [{"pii_type": "PERSON", "surrogate": "Professor Davis", "start": 71, "end": 86}, {"pii_type": "GRADE_LEVEL", "surrogate": "10th Grade", "start": 88, "end": 98}, {"pii_type": "URL", "surrogate": "www.mathpractice.com", "start": 100, "end": 120}, {"pii_type": "URL", "surrogate": "www.quizlet.org/math_cards", "start": 155, "end": 181}]}
{"role": "student", "content": "thank you so much for providing the links", "session_id": 344, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "I am so sorry but I have to go", "session_id": 344, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "have a good rest of your day :)", "session_id": 344, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "Oh, thats Okay! you can access the whiteboard when ever you want! Good luck with the material!", "session_id": 344, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "ok thank you!", "session_id": 344, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "Hello", "session_id": 378, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "hello", "session_id": 378, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "how r u ?", "session_id": 378, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "good, how are you?", "session_id": 378, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "horrible", "session_id": 378, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "buts it whatever", "session_id": 378, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "sorry! bad math day?", "session_id": 378, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "yes", "session_id": 378, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "well, hopefully I can help", "session_id": 378, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "kk", "session_id": 378, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "i have to find the product", "session_id": 378, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "ok. I always multiply the numbers on the outside of the radicals together then multiply the numbers on the inside together. then simplify if needed", "session_id": 378, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "think of there being a one on the outside of that rad2", "session_id": 378, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "5 rad =0", "session_id": 378, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "ohh", "session_id": 378, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "ok", "session_id": 378, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "so 1 x 5?", "session_id": 378, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 378, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "do i simplify10?", "session_id": 378, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "you cant simplify rad 10", "session_id": 378, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "so multiply the 2 and 10 and put that in the radical", "session_id": 378, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "right", "session_id": 378, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "now simplify rad 20", "session_id": 378, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "good, now mulitiply that 2 on the outside with the 5 you got", "session_id": 378, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "so 10 ?", "session_id": 378, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 378, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "yeaa", "session_id": 378, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "what do i do ?", "session_id": 378, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "it was good that you tried to simplify that, but you found you could mathforum.org, here is a good math-tutorial.nete what I write on the board...I am just going to rewrite 42 as 6 times 7", "session_id": 378, "sequence_id": 28, "annotations": [{"pii_type": "URL", "surrogate": "mathforum.org", "start": 69, "end": 82}, {"pii_type": "URL", "surrogate": "math-tutorial.net", "start": 99, "end": 116}]}
{"role": "student", "content": "ok", "session_id": 378, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "now we can put all those number under same radical", "session_id": 378, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "thats because of the product property of radicals", "session_id": 378, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "do you know what to do now to simplify that?", "session_id": 378, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "no", "session_id": 378, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "since there are 2 6's in the radical, take one out. the 7 stays in", "session_id": 378, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "right", "session_id": 378, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "rad", "session_id": 378, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "?", "session_id": 378, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "just 6 rad 7", "session_id": 378, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "do u not have social media?", "session_id": 378, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "sorry, I am not up on that stuff", "session_id": 378, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "I will have to ask my kids to update me :)", "session_id": 378, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "oh ever parent is annoyed at it", "session_id": 378, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "r these good numbers ?", "session_id": 378, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "break down 20 like you did on the first problem", "session_id": 378, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "good so far", "session_id": 378, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "is that a 6 in the radical?", "session_id": 378, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "Maya i got it right", "session_id": 378, "sequence_id": 47, "annotations": [{"pii_type": "PERSON", "surrogate": "Maya", "start": 0, "end": 4}]}
{"role": "student", "content": "no it was 5", "session_id": 378, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "ok, then yes it is correct", "session_id": 378, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "since 8 times 24 is a big number, lets do that tip I showed you", "session_id": 378, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "yes, now break down 24", "session_id": 378, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "wait...", "session_id": 378, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "think... you could do 6 times 4 or 8 times 3...which is better since you already have an 8?", "session_id": 378, "sequence_id": 53, "annotations": []}
{"role": "student", "content": "8 x 3", "session_id": 378, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 378, "sequence_id": 55, "annotations": []}
{"role": "student", "content": "yeaa im done with the assignmenttt", "session_id": 378, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "yay!", "session_id": 378, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "I hope you have a better math day tomorrow!", "session_id": 378, "sequence_id": 58, "annotations": []}
{"role": "student", "content": "Leo", "session_id": 378, "sequence_id": 59, "annotations": [{"pii_type": "PERSON", "surrogate": "Leo", "start": 0, "end": 3}]}
{"role": "student", "content": "have a great nighttt", "session_id": 378, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "you too", "session_id": 378, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "Hello", "session_id": 326, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "hi!", "session_id": 326, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "how can I help?", "session_id": 326, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "so the assignment is to verify and proof the identity", "session_id": 326, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "so far i did this", "session_id": 326, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "i will do on the board", "session_id": 326, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "okay", "session_id": 326, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "now i'm stuc", "session_id": 326, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "where did the sin2u go?", "session_id": 326, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "like how do you factor out that", "session_id": 326, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "sin^2(u) is common in both terms, so I factored it out", "session_id": 326, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "oh okay so i can just take out that sin2u?", "session_id": 326, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "yes, you can", "session_id": 326, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "oh okay, thank you!", "session_id": 326, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "that's all?", "session_id": 326, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "can we do one more?", "session_id": 326, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "sure", "session_id": 326, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "clear the whiteboard if you need", "session_id": 326, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "is that correct so far?", "session_id": 326, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "the red marked is not correct", "session_id": 326, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "i\u2019m think that\u2019s wrong again ", "session_id": 326, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "can you help?", "session_id": 326, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "yeah", "session_id": 326, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "of course", "session_id": 326, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "make the denominators the same", "session_id": 326, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "ohhhi see ", "session_id": 326, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "then add, just like adding fractions", "session_id": 326, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "i can rewrite 1 as cosx/cosx?", "session_id": 326, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 326, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "that\u2019s applicable for any equation right?", "session_id": 326, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 326, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "okay can we try one more?", "session_id": 326, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "okay", "session_id": 326, "sequence_id": 32, "annotations": []}
{"role": "student", "content": " did i do something wrong", "session_id": 326, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "yeah", "session_id": 326, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "these red ones should be sinx", "session_id": 326, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "well, if you are stuck, I can maybe try correcting it if you erase that part", "session_id": 326, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "okay done", "session_id": 326, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "ohh okay i get it when you do it that way ", "session_id": 326, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "thank you ", "session_id": 326, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "you welcome", "session_id": 326, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "hi", "session_id": 317, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "hello", "session_id": 317, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "How can I help?", "session_id": 317, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "i need to find area and circumference", "session_id": 317, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "There are two formulas.", "session_id": 317, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "NOOOOOOOOOOO!", "session_id": 317, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "i honestly don't feel like re-writing all that", "session_id": 317, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "what is the question?", "session_id": 317, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "it's just find area and circumference use pi (3.14) round to the nearest hundreth", "session_id": 317, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "yea", "session_id": 317, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "what is r ?", "session_id": 317, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "Radius?", "session_id": 317, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 317, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "the number in the circle?", "session_id": 317, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "sometimes.", "session_id": 317, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "sometimes the number in the circle is not the radius.", "session_id": 317, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "sometimes the number is the diameter.", "session_id": 317, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "what number would we put in the parentheses?", "session_id": 317, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "umm", "session_id": 317, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "how can we tell if the number in the circle is a radius or a diameter?", "session_id": 317, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "by where it is?", "session_id": 317, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "that can help.", "session_id": 317, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "is a full circle any diffrent from half of one", "session_id": 317, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 317, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "would that be like radius and diameter", "session_id": 317, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 317, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "which one is the radius?", "session_id": 317, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "full", "session_id": 317, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "sorry", "session_id": 317, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "full one is the diameter", "session_id": 317, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "AAAAH", "session_id": 317, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "what is the radius for the first circle?", "session_id": 317, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "um", "session_id": 317, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "the", "session_id": 317, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "well would we take half of 26?", "session_id": 317, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "yes!", "session_id": 317, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "diameter is the full part.", "session_id": 317, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "13", "session_id": 317, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "correct", "session_id": 317, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "13 squared means 13 times 13.", "session_id": 317, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "that is math.", "session_id": 317, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "we multiply that by 3.14 to get the area.", "session_id": 317, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "oooh", "session_id": 317, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "13x13x13x3.14", "session_id": 317, "sequence_id": 43, "annotations": []}
{"role": "student", "content": "?", "session_id": 317, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "13 x 13 x 3.14", "session_id": 317, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "530.66", "session_id": 317, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "right", "session_id": 317, "sequence_id": 47, "annotations": []}
{"role": "student", "content": "That's the area for the first one", "session_id": 317, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "yes for area", "session_id": 317, "sequence_id": 49, "annotations": []}
{"role": "student", "content": "9 x 9 x 3.14?", "session_id": 317, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 317, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "254.34", "session_id": 317, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "correct", "session_id": 317, "sequence_id": 53, "annotations": []}
{"role": "student", "content": "i gtg", "session_id": 317, "sequence_id": 54, "annotations": []}
{"role": "student", "content": "bye srry for abrutply leaving", "session_id": 317, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "it's ok.", "session_id": 317, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "sign on later for more help.", "session_id": 317, "sequence_id": 57, "annotations": []}
{"role": "student", "content": "bye have a good day", "session_id": 317, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "Hey Liam, how are you today?", "session_id": 394, "sequence_id": 0, "annotations": [{"pii_type": "PERSON", "surrogate": "Liam", "start": 4, "end": 8}]}
{"role": "student", "content": "hi", "session_id": 394, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "can u pls help me with my homework", "session_id": 394, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "Yes, of course I can! Is it on paper or on your device?", "session_id": 394, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "it on my paper but I can type the questions", "session_id": 394, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "Great! I can definitely help with that!", "session_id": 394, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "the first question is [ 9 is what percent of 72]", "session_id": 394, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "ty", "session_id": 394, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "Okay, what do you know about percents?", "session_id": 394, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "umm I know that they are less the the whole part", "session_id": 394, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "Yes! That is a very essential thing you need to know about percents!", "session_id": 394, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "Okay, so they are less than the whole, but what is the formula to find them? Do you know?", "session_id": 394, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "um x", "session_id": 394, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "X", "session_id": 394, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "or", "session_id": 394, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "*", "session_id": 394, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "mulipacation", "session_id": 394, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "Yes, a part of It includes multiplying!", "session_id": 394, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "and / or division", "session_id": 394, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "Okay, those are all such great guesses, the equation to find percents is part/whole X 100=percent", "session_id": 394, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "So if you have what percent is 9 from 72", "session_id": 394, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "what would the be when plugged in?", "session_id": 394, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "would it be 8", "session_id": 394, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "Not really, try again, we are diving the part (9) by the whole (72)", "session_id": 394, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "You do need a calculator to do that!", "session_id": 394, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "oh um I don't have one with me right now", "session_id": 394, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "Okay, that is totally fine, the number would be 0.125", "session_id": 394, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "because 9 would be the num and the 72 would be the dom", "session_id": 394, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "okay, now we multiply now, so what is 0.125 times 100?", "session_id": 394, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "1.25", "session_id": 394, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "Close, it would be 12.5% because 100 mine move is 2 decimal places", "session_id": 394, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "oh", "session_id": 394, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "ok", "session_id": 394, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "Great, is there any other confusing ones?", "session_id": 394, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "um", "session_id": 394, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "not really Liam", "session_id": 394, "sequence_id": 35, "annotations": [{"pii_type": "PERSON", "surrogate": "Liam", "start": 11, "end": 15}]}
{"role": "student", "content": "bye", "session_id": 394, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "Welcome! Have a good rest of your day!", "session_id": 394, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "Hi! How can I help you?:)", "session_id": 277, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "algebraic expressions and order of operations. I need help to understand those a little more please", "session_id": 277, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "I can definitely help with that! Do you have any specific problems you need help with or would you like me to give you practice problems?", "session_id": 277, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "nope", "session_id": 277, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "sorry", "session_id": 277, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "some practice pls", "session_id": 277, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "Okay! One moment, I'll quick write some down in the white board", "session_id": 277, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "Try working on this to first practice just order of operations!", "session_id": 277, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "ok", "session_id": 277, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "GEMS is what my teacher said to do also", "session_id": 277, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "Yep! That works too!", "session_id": 277, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "i domt know what 8 and 4 multiplied is", "session_id": 277, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "*dont", "session_id": 277, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "Do you know 8x3?", "session_id": 277, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "hold on i have an idea, what if  we add 16 and 16", "session_id": 277, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "That works perfectly too!!", "session_id": 277, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "Actually, I am going to stop you before you get too far. With \"M\" in GEMS it means multiply/divide, right? While you were super close with starting with 8x4, you actually go left to right with this, so you will actually want to start with 24/8. Does that make sense?", "session_id": 277, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "yea", "session_id": 277, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "can i type the stuff here in the chat", "session_id": 277, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "yes!", "session_id": 277, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "ok 24 and 8 split is 3", "session_id": 277, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "Perfect!", "session_id": 277, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "What do you think you should do next?", "session_id": 277, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "3 and 4 multiplied", "session_id": 277, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "9", "session_id": 277, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "or//", "session_id": 277, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "12", "session_id": 277, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "12 is perfect!!", "session_id": 277, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "What's next?", "session_id": 277, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "get the sum of 12 and 6?", "session_id": 277, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "So just like multiply/divide, you want to go left to right.", "session_id": 277, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "So you'll actually want to start with 7-12", "session_id": 277, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "-5", "session_id": 277, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "Perfect! and now +6", "session_id": 277, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "11", "session_id": 277, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "Don't forget the 5 is negative!", "session_id": 277, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "-11", "session_id": 277, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "-5+6", "session_id": 277, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "1", "session_id": 277, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "There you go! That's the answer to the equation!", "session_id": 277, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "Would you like to try another order of operations problem, or try some algebraic equations?", "session_id": 277, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "oohhh yay", "session_id": 277, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "yes", "session_id": 277, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "hold on can i be back in like 3 mins? i need to get a drink really quick", "session_id": 277, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "Okay!", "session_id": 277, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "ok", "session_id": 277, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "exponents first", "session_id": 277, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "Ready? Where do you think you should start with this next equation?", "session_id": 277, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "Yep!", "session_id": 277, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "i dont know what 4 cubed is", "session_id": 277, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "4x4=?", "session_id": 277, "sequence_id": 50, "annotations": []}
{"role": "student", "content": "16", "session_id": 277, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "16x4=?", "session_id": 277, "sequence_id": 52, "annotations": []}
{"role": "student", "content": "64", "session_id": 277, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "Perfect that's 4 cubed!", "session_id": 277, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "What should we do next?", "session_id": 277, "sequence_id": 55, "annotations": []}
{"role": "student", "content": "2 and 64", "session_id": 277, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "Exactly!", "session_id": 277, "sequence_id": 57, "annotations": []}
{"role": "student", "content": "128", "session_id": 277, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "Yay! Yes!", "session_id": 277, "sequence_id": 59, "annotations": []}
{"role": "student", "content": "128 and 4  divided'", "session_id": 277, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "Remember start left to right.", "session_id": 277, "sequence_id": 61, "annotations": []}
{"role": "student", "content": "3 128", "session_id": 277, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "Yep!", "session_id": 277, "sequence_id": 63, "annotations": []}
{"role": "student", "content": "384", "session_id": 277, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "Yay! yes!!", "session_id": 277, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "and 384/4", "session_id": 277, "sequence_id": 66, "annotations": []}
{"role": "student", "content": "9.5'", "session_id": 277, "sequence_id": 67, "annotations": []}
{"role": "student", "content": "9.5", "session_id": 277, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "Try again, do you think 4 can go 384 only 9 times?", "session_id": 277, "sequence_id": 69, "annotations": []}
{"role": "student", "content": "OHHH I GOT IT", "session_id": 277, "sequence_id": 70, "annotations": []}
{"role": "student", "content": "96", "session_id": 277, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "YAYY you got it!!", "session_id": 277, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "Great job!!", "session_id": 277, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "Do you want to try some algebraic equations now?", "session_id": 277, "sequence_id": 74, "annotations": []}
{"role": "student", "content": "can i come u/p with a ooo really quick", "session_id": 277, "sequence_id": 75, "annotations": []}
{"role": "student", "content": "i just need  to solve one more ooo problem", "session_id": 277, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "Okay!", "session_id": 277, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "What should we do first?", "session_id": 277, "sequence_id": 78, "annotations": []}
{"role": "student", "content": "exponential number", "session_id": 277, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "Great!", "session_id": 277, "sequence_id": 80, "annotations": []}
{"role": "volunteer", "content": "1^2=?", "session_id": 277, "sequence_id": 81, "annotations": []}
{"role": "student", "content": "0", "session_id": 277, "sequence_id": 82, "annotations": []}
{"role": "volunteer", "content": "1x1=?", "session_id": 277, "sequence_id": 83, "annotations": []}
{"role": "student", "content": "2", "session_id": 277, "sequence_id": 84, "annotations": []}
{"role": "volunteer", "content": "If 2x1=2, then what do you think 1x1 is?", "session_id": 277, "sequence_id": 85, "annotations": []}
{"role": "student", "content": "1", "session_id": 277, "sequence_id": 86, "annotations": []}
{"role": "volunteer", "content": "There you go 1^2 = 1", "session_id": 277, "sequence_id": 87, "annotations": []}
{"role": "volunteer", "content": "Now what should we do?", "session_id": 277, "sequence_id": 88, "annotations": []}
{"role": "student", "content": "divide", "session_id": 277, "sequence_id": 89, "annotations": []}
{"role": "volunteer", "content": "Yep! 4/1 = ?", "session_id": 277, "sequence_id": 90, "annotations": []}
{"role": "student", "content": "1", "session_id": 277, "sequence_id": 91, "annotations": []}
{"role": "volunteer", "content": "Not quite, how many times can 1 go into 4?", "session_id": 277, "sequence_id": 92, "annotations": []}
{"role": "student", "content": "4, and btw i will have underlind or circled a number when i have an answer oki", "session_id": 277, "sequence_id": 93, "annotations": []}
{"role": "volunteer", "content": "ok!", "session_id": 277, "sequence_id": 94, "annotations": []}
{"role": "volunteer", "content": "Now what?", "session_id": 277, "sequence_id": 95, "annotations": []}
{"role": "volunteer", "content": "Perfcet!", "session_id": 277, "sequence_id": 96, "annotations": []}
{"role": "volunteer", "content": "Do you feel better doing ooo now?", "session_id": 277, "sequence_id": 97, "annotations": []}
{"role": "student", "content": "yes", "session_id": 277, "sequence_id": 98, "annotations": []}
{"role": "student", "content": "i think i am comfortable with it now thanksm to you", "session_id": 277, "sequence_id": 99, "annotations": []}
{"role": "volunteer", "content": "Good!", "session_id": 277, "sequence_id": 100, "annotations": []}
{"role": "volunteer", "content": "You did a great job!", "session_id": 277, "sequence_id": 101, "annotations": []}
{"role": "student", "content": "should we start AE {algebraic expressions}", "session_id": 277, "sequence_id": 102, "annotations": []}
{"role": "volunteer", "content": "Sure!", "session_id": 277, "sequence_id": 103, "annotations": []}
{"role": "student", "content": "ok", "session_id": 277, "sequence_id": 104, "annotations": []}
{"role": "volunteer", "content": "Try the problem I have on the whiteboard! What do you think we should do first?", "session_id": 277, "sequence_id": 105, "annotations": []}
{"role": "student", "content": "3 and b", "session_id": 277, "sequence_id": 106, "annotations": []}
{"role": "volunteer", "content": "What do you want to do with 3 and b?", "session_id": 277, "sequence_id": 107, "annotations": []}
{"role": "student", "content": "3*b", "session_id": 277, "sequence_id": 108, "annotations": []}
{"role": "volunteer", "content": "Okay what next?", "session_id": 277, "sequence_id": 109, "annotations": []}
{"role": "student", "content": "add 3bs answer yo 40", "session_id": 277, "sequence_id": 110, "annotations": []}
{"role": "volunteer", "content": "What if we don't know what b equals, or have you not gone over that in class?", "session_id": 277, "sequence_id": 111, "annotations": []}
{"role": "student", "content": "i choose", "session_id": 277, "sequence_id": 112, "annotations": []}
{"role": "volunteer", "content": "Lets try a different problem, one minute", "session_id": 277, "sequence_id": 113, "annotations": []}
{"role": "student", "content": "33", "session_id": 277, "sequence_id": 114, "annotations": []}
{"role": "volunteer", "content": "Not quite", "session_id": 277, "sequence_id": 115, "annotations": []}
{"role": "volunteer", "content": "Try plugging p=5 into the equation", "session_id": 277, "sequence_id": 116, "annotations": []}
{"role": "student", "content": "9", "session_id": 277, "sequence_id": 117, "annotations": []}
{"role": "volunteer", "content": "Yes!", "session_id": 277, "sequence_id": 118, "annotations": []}
{"role": "volunteer", "content": "Would you like to try another problems that's similar?", "session_id": 277, "sequence_id": 119, "annotations": []}
{"role": "student", "content": "no thanks i think i understand everything now", "session_id": 277, "sequence_id": 120, "annotations": []}
{"role": "volunteer", "content": "Yay! Great job today!", "session_id": 277, "sequence_id": 121, "annotations": []}
{"role": "student", "content": "thank you", "session_id": 277, "sequence_id": 122, "annotations": []}
{"role": "student", "content": "bye", "session_id": 277, "sequence_id": 123, "annotations": []}
{"role": "volunteer", "content": "Hello", "session_id": 467, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "How are you?", "session_id": 467, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "Omgg you speak 3 languages, how cool!", "session_id": 467, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "I am good how are you?", "session_id": 467, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "You saw my profile?", "session_id": 467, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "I am good.", "session_id": 467, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "How can I help you?", "session_id": 467, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "Nooo it\u2019s says that you speak English, mandarin and cantonese", "session_id": 467, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "I have some questions that I\u2019m going to put up, one sec", "session_id": 467, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "I see.", "session_id": 467, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "Sum of all interior angles in triangles is?", "session_id": 467, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "180", "session_id": 467, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "Yes", "session_id": 467, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "hold it there", "session_id": 467, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "You should add 2 on both sides", "session_id": 467, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "of equal sign", "session_id": 467, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "Excellent", "session_id": 467, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "Thanks Mark !!! :)", "session_id": 467, "sequence_id": 17, "annotations": [{"pii_type": "PERSON", "surrogate": "Mark", "start": 7, "end": 11}]}
{"role": "volunteer", "content": "Let's do #33.", "session_id": 467, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "Ok, I need help with this one", "session_id": 467, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "Let's see", "session_id": 467, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "Do you know the Z method?", "session_id": 467, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "Tell me if you can explain it?", "session_id": 467, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "It shows what angles inside are equal and parallel", "session_id": 467, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "Inside what though can you show me?", "session_id": 467, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "It\u2019s an isosceles triangle for both", "session_id": 467, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "The question does not say that", "session_id": 467, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "Oh wait never mind. I thought did.", "session_id": 467, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "My thinking is can I say angle fcd = angle fad?", "session_id": 467, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "Yes!!", "session_id": 467, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "We have to apply the condition given in the question to the last two equations.", "session_id": 467, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "Wait, huh?", "session_id": 467, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "I am going to working on it on paper because drawing on the board slows me down.", "session_id": 467, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "Give me a minute", "session_id": 467, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "Ok , take your time Mark \u263a\ufe0f", "session_id": 467, "sequence_id": 34, "annotations": [{"pii_type": "PERSON", "surrogate": "Mark", "start": 20, "end": 24}]}
{"role": "student", "content": "Hello?", "session_id": 467, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "Mark?", "session_id": 467, "sequence_id": 36, "annotations": [{"pii_type": "PERSON", "surrogate": "Mark", "start": 0, "end": 4}]}
{"role": "student", "content": "Are you still there ?", "session_id": 467, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 467, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "We can prove angle DCB = angle EAB", "session_id": 467, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "because triangle ABE similar to triangle CBD", "session_id": 467, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "I am not sure can you explain", "session_id": 467, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "I feel like this question needs some verbal explanation", "session_id": 467, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 467, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "These two are similar", "session_id": 467, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "Wait", "session_id": 467, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "Both angles are 45", "session_id": 467, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "They do not have to be right triangle", "session_id": 467, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "I did that because it is easier to draw", "session_id": 467, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "Ohh", "session_id": 467, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "They are not isosceles traingles", "session_id": 467, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "Do think about the right angle", "session_id": 467, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "I just do that for making it easy to draw", "session_id": 467, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "Can you remove the right angle sign?", "session_id": 467, "sequence_id": 53, "annotations": []}
{"role": "student", "content": "Okay thanks Mark!!", "session_id": 467, "sequence_id": 54, "annotations": [{"pii_type": "PERSON", "surrogate": "Mark", "start": 12, "end": 16}]}
{"role": "volunteer", "content": "You can see the red triangle is flipped", "session_id": 467, "sequence_id": 55, "annotations": []}
{"role": "student", "content": "No", "session_id": 467, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "I meant fipped from the black triangle", "session_id": 467, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "I am going to flip the red triangle back to look like the black triangle", "session_id": 467, "sequence_id": 58, "annotations": []}
{"role": "student", "content": "Now I can see it", "session_id": 467, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "Flip along the thick red line", "session_id": 467, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "turn counter clockwise 90 degrees", "session_id": 467, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "What this mean is that angle DAF = angle FCE", "session_id": 467, "sequence_id": 62, "annotations": []}
{"role": "student", "content": "1that they are =", "session_id": 467, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "We have two pairs of matching angles.  That paroves triangle AFD similar to triangle CFE", "session_id": 467, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 467, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "But I am not sure if verbal explanation is part of the answer.", "session_id": 467, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "So that's why I am trying to use geometry to prove it", "session_id": 467, "sequence_id": 67, "annotations": []}
{"role": "student", "content": "Ahhh okay", "session_id": 467, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "Do you know I can add message to this chat after we close the session and you will be notified?", "session_id": 467, "sequence_id": 69, "annotations": []}
{"role": "student", "content": "Really ?", "session_id": 467, "sequence_id": 70, "annotations": []}
{"role": "student", "content": "I never knew that", "session_id": 467, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "Yoand vice versa", "session_id": 467, "sequence_id": 72, "annotations": []}
{"role": "student", "content": "Huh", "session_id": 467, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "And vice versa", "session_id": 467, "sequence_id": 74, "annotations": []}
{"role": "volunteer", "content": "Let me work on it and I will attach the answer to the chat so you will see the answer.", "session_id": 467, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "And you can continue your study on other stuff.", "session_id": 467, "sequence_id": 76, "annotations": []}
{"role": "student", "content": "Ok", "session_id": 467, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "It's a plan then.", "session_id": 467, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "I will let you know.  I will continue working on it.", "session_id": 467, "sequence_id": 79, "annotations": []}
{"role": "student", "content": "Emily Mark", "session_id": 467, "sequence_id": 80, "annotations": [{"pii_type": "PERSON", "surrogate": "Emily", "start": 0, "end": 5}, {"pii_type": "PERSON", "surrogate": "Mark", "start": 6, "end": 10}]}
{"role": "volunteer", "content": "bye", "session_id": 467, "sequence_id": 81, "annotations": []}
{"role": "volunteer", "content": "Mark and triangle CBD are actually same size but flipped.", "session_id": 467, "sequence_id": 82, "annotations": [{"pii_type": "PERSON", "surrogate": "Mark", "start": 0, "end": 4}]}
{"role": "volunteer", "content": "So We have angle AFD = angle CFE", "session_id": 467, "sequence_id": 83, "annotations": []}
{"role": "volunteer", "content": "angle DAF = angle FCE given by question", "session_id": 467, "sequence_id": 84, "annotations": []}
{"role": "volunteer", "content": "line AB = line BC", "session_id": 467, "sequence_id": 85, "annotations": []}
{"role": "volunteer", "content": "line DB = line BE", "session_id": 467, "sequence_id": 86, "annotations": []}
{"role": "volunteer", "content": "so line AD = line AB - line BD", "session_id": 467, "sequence_id": 87, "annotations": []}
{"role": "volunteer", "content": "line EC = line BC - line BE", "session_id": 467, "sequence_id": 88, "annotations": []}
{"role": "volunteer", "content": "so line AD = line EC", "session_id": 467, "sequence_id": 89, "annotations": []}
{"role": "volunteer", "content": "So we have AAS.  So triangle AFD = triangle CFE", "session_id": 467, "sequence_id": 90, "annotations": []}
{"role": "volunteer", "content": "hello!", "session_id": 406, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "hi i have a math problem", "session_id": 406, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "alright!", "session_id": 406, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "what is it?", "session_id": 406, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "it says the table shows the number of different types of birds that are swimming at a lake its 8 seagulls and 9 ducks and 7 geese and 1 swan and i dont know the ratio", "session_id": 406, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "what is the question that it asks you?", "session_id": 406, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "about ratio?", "session_id": 406, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "the ratio of swans total birds", "session_id": 406, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "okay! well, how many swans are there?", "session_id": 406, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "1", "session_id": 406, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "yes! so we know that is the first number", "session_id": 406, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "now for the total birds, we have to add up all the numbers!", "session_id": 406, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "so 8 + 9 + 7 + 1", "session_id": 406, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "25", "session_id": 406, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "yup! so that is the second number!", "session_id": 406, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "1:25!", "session_id": 406, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "thanksss", "session_id": 406, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "of course!", "session_id": 406, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "is there anything else i can help you with?", "session_id": 406, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "yes i have a whole lesson", "session_id": 406, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "alright! any specific questions?", "session_id": 406, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "it says what is the ratio of cows to cheese and theres 5 cows and 2 chunks of cheese", "session_id": 406, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "well, the first number is cows and the second number of cheese!", "session_id": 406, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "so what would the first number be?", "session_id": 406, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "5", "session_id": 406, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "yup! what about the second?", "session_id": 406, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "2", "session_id": 406, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "so 5:2!", "session_id": 406, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "theres another one it says an artist used 6 tubes of red paint 2 tubes of yellow paint and 13 tubes of white paint and 9 tubes of blue paint for a mural", "session_id": 406, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "okay! what ratio does it want?", "session_id": 406, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "what is the ratio of blue paint to all the tubes used", "session_id": 406, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "which one is the first number, and which one is the second?", "session_id": 406, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "what do you mean", "session_id": 406, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "which one do you think will be the first number in the ratio?", "session_id": 406, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "out of all the numbers?", "session_id": 406, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "well, it tells you it wants the ratio of tubes of blue paint to all the tubes right?", "session_id": 406, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "well 9", "session_id": 406, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "yes, 9 would be the first number!!", "session_id": 406, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "what about the second?", "session_id": 406, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "idk", "session_id": 406, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "the second number mentioned is the total tubes of paint", "session_id": 406, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "so we need to add them all together to get the second part of the ratio", "session_id": 406, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "21", "session_id": 406, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "not quite! 6 + 2 + 13 + 9 isn't 21", "session_id": 406, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "we have to include the blue paint in the total", "session_id": 406, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "oh", "session_id": 406, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "no worries :)", "session_id": 406, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "can i use the board", "session_id": 406, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "sure!", "session_id": 406, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "d", "session_id": 406, "sequence_id": 49, "annotations": []}
{"role": "student", "content": "30", "session_id": 406, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "yes, that is the second number! so what is the final ratio?", "session_id": 406, "sequence_id": 51, "annotations": []}
{"role": "student", "content": ".", "session_id": 406, "sequence_id": 52, "annotations": []}
{"role": "student", "content": "9:30", "session_id": 406, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "yess great work!", "session_id": 406, "sequence_id": 54, "annotations": []}
{"role": "student", "content": "this other says the numbers in this math problem is 3,2,4,21 and they asked whats the ratio of 2 to 21", "session_id": 406, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "this one just gives you the numbers!", "session_id": 406, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "can you tell which one is the first number and which one is the second?", "session_id": 406, "sequence_id": 57, "annotations": []}
{"role": "student", "content": "is it 2", "session_id": 406, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "yes, 2 is the first one!", "session_id": 406, "sequence_id": 59, "annotations": []}
{"role": "student", "content": "21 is the second'", "session_id": 406, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "yup! so what is the ratio?", "session_id": 406, "sequence_id": 61, "annotations": []}
{"role": "student", "content": "2:21", "session_id": 406, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "right!", "session_id": 406, "sequence_id": 63, "annotations": []}
{"role": "student", "content": "so the next problems numbers are 6,7,13,4 and asked whats the ratio of 6 and 13", "session_id": 406, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "okay! do you want to try this one by yourself?", "session_id": 406, "sequence_id": 65, "annotations": []}
{"role": "student", "content": "i did i got it wrong cause i put 6:13", "session_id": 406, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "hmm interesting, that seems like the right answer", "session_id": 406, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "can you put a screenshot of the question on the whiteboard?", "session_id": 406, "sequence_id": 68, "annotations": []}
{"role": "student", "content": "it says it was 13:6", "session_id": 406, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "but the question put 6 before 13?", "session_id": 406, "sequence_id": 70, "annotations": []}
{"role": "student", "content": "i know right but lets move on", "session_id": 406, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "alright", "session_id": 406, "sequence_id": 72, "annotations": []}
{"role": "student", "content": "so this ones numbers are 15,7,11,4 and it says whats the ratio of 15 and 11 and i think its 15:11", "session_id": 406, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "i think you're right!", "session_id": 406, "sequence_id": 74, "annotations": []}
{"role": "student", "content": "lets check", "session_id": 406, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "okay!", "session_id": 406, "sequence_id": 76, "annotations": []}
{"role": "student", "content": "first number is 15", "session_id": 406, "sequence_id": 77, "annotations": []}
{"role": "student", "content": "i was correct", "session_id": 406, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "nice!", "session_id": 406, "sequence_id": 79, "annotations": []}
{"role": "student", "content": "t", "session_id": 406, "sequence_id": 80, "annotations": []}
{"role": "volunteer", "content": "do you want to do a couple more or do you think you got it?", "session_id": 406, "sequence_id": 81, "annotations": []}
{"role": "student", "content": "i think i have it i will let yk", "session_id": 406, "sequence_id": 82, "annotations": []}
{"role": "volunteer", "content": "okay!", "session_id": 406, "sequence_id": 83, "annotations": []}
{"role": "student", "content": "i have ratios with tape diagrams", "session_id": 406, "sequence_id": 84, "annotations": []}
{"role": "volunteer", "content": "alright, we can do some of those!", "session_id": 406, "sequence_id": 85, "annotations": []}
{"role": "student", "content": "Elara has 5 trees planted an 2 harvested", "session_id": 406, "sequence_id": 86, "annotations": [{"pii_type": "PERSON", "surrogate": "Elara", "start": 0, "end": 5}]}
{"role": "volunteer", "content": "what is the ratio it wants?", "session_id": 406, "sequence_id": 87, "annotations": []}
{"role": "volunteer", "content": "are you still there?", "session_id": 406, "sequence_id": 88, "annotations": []}
{"role": "student", "content": "Graphing Systems of Equations", "session_id": 484, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "hi Ben!", "session_id": 484, "sequence_id": 1, "annotations": [{"pii_type": "PERSON", "surrogate": "Ben", "start": 3, "end": 6}]}
{"role": "student", "content": "Hi!", "session_id": 484, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "is there a specific problem you would like to work on today?", "session_id": 484, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "yes", "session_id": 484, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "I uploaded my math homework", "session_id": 484, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "awesome", "session_id": 484, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "I don't understand how to di this very well", "session_id": 484, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "no problem! shall we start with question 1", "session_id": 484, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "yes", "session_id": 484, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 484, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "can you tell me what you are struggling with when it comes to these types of problems?", "session_id": 484, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "grahing them", "session_id": 484, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "alright!", "session_id": 484, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "so tell me Ben, have you ever graphed a line before?", "session_id": 484, "sequence_id": 14, "annotations": [{"pii_type": "PERSON", "surrogate": "Ben", "start": 11, "end": 14}]}
{"role": "student", "content": "yes", "session_id": 484, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "so this is similar! are you familiar with slope intercept form of a line?", "session_id": 484, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "y=m?", "session_id": 484, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "yes", "session_id": 484, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "so starting with the first equation of the first question, y=-5x-8", "session_id": 484, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "can you start by telling me the slope and y interception of this line?", "session_id": 484, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "slope is -5 and y intercept is -8", "session_id": 484, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "awesome job!", "session_id": 484, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "do you know how to graph this line?", "session_id": 484, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "my teacher said she wants us to make a t-chart using three numbers one negative and two positive oand none number has to be zero", "session_id": 484, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "ah okay!", "session_id": 484, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "by t chart do you mean like this?", "session_id": 484, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "yes", "session_id": 484, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "ok!", "session_id": 484, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "what three numbers would you like to use?", "session_id": 484, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "or 2 i should say", "session_id": 484, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "zero, -1, and 2", "session_id": 484, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "would you like to solve the y value real quick?", "session_id": 484, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "yes", "session_id": 484, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "feel free to write ur answers on the chart", "session_id": 484, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "is that right?", "session_id": 484, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "some of your answers are correct, lets double check them!", "session_id": 484, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "can i ask for a favor? can you delete the picture with questions 5 and 6 so we have more writing space?", "session_id": 484, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "yes", "session_id": 484, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "ok so", "session_id": 484, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "for 2,", "session_id": 484, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "would you like to solve this again?", "session_id": 484, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "yes", "session_id": 484, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "i did the math wrong", "session_id": 484, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "thats ok! this is why we should always double check our work", "session_id": 484, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "your answer for x=0 is correct, lets check your answer for x=-1", "session_id": 484, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "try solving this one again!", "session_id": 484, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "there we go!", "session_id": 484, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "yay good work!", "session_id": 484, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "would you like to plot those points on the graph now?", "session_id": 484, "sequence_id": 49, "annotations": []}
{"role": "student", "content": "yes", "session_id": 484, "sequence_id": 50, "annotations": []}
{"role": "student", "content": "we can graph now", "session_id": 484, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "alright", "session_id": 484, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "would you like to graph it?", "session_id": 484, "sequence_id": 53, "annotations": []}
{"role": "student", "content": "yes", "session_id": 484, "sequence_id": 54, "annotations": []}
{"role": "student", "content": "I can't plot (2,-18) since negative 18 isnt on the graph", "session_id": 484, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "thats ok!", "session_id": 484, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "so we know the slope is -5.", "session_id": 484, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "have you learned rise over run before when graphing lines?", "session_id": 484, "sequence_id": 58, "annotations": []}
{"role": "student", "content": "im not sure if i graphed correctly but i did learn rise over run", "session_id": 484, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "you graphed it right! good job!", "session_id": 484, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "so shall we use rise over run?", "session_id": 484, "sequence_id": 61, "annotations": []}
{"role": "student", "content": "yes", "session_id": 484, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "from (-1,-3)", "session_id": 484, "sequence_id": 63, "annotations": []}
{"role": "student", "content": "i forgot how to rise over run", "session_id": 484, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "thats ok!", "session_id": 484, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "since the slope is negative", "session_id": 484, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "it would be down over run", "session_id": 484, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "does that make sense?", "session_id": 484, "sequence_id": 68, "annotations": []}
{"role": "student", "content": "kinda", "session_id": 484, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "ok this part is kinda confusing but", "session_id": 484, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "down over run is also the same as up over left", "session_id": 484, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "does that make sense? its kinda tricky to explain", "session_id": 484, "sequence_id": 72, "annotations": []}
{"role": "student", "content": "yes", "session_id": 484, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "perfect! so if we go left and then up, we arrive at point (-2, 2)", "session_id": 484, "sequence_id": 74, "annotations": []}
{"role": "student", "content": "hello", "session_id": 463, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "Hey Alex!", "session_id": 463, "sequence_id": 1, "annotations": [{"pii_type": "PERSON", "surrogate": "Alex", "start": 4, "end": 8}]}
{"role": "volunteer", "content": "what can i help with today?", "session_id": 463, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "i need to study for my upcoming pre calc test !", "session_id": 463, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "we\u2019re starting trigonometry", "session_id": 463, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "ooo trig was tough", "session_id": 463, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "oof", "session_id": 463, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "but i think we can figure it out! im guessing youre figuring out sin(45)?", "session_id": 463, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "yes", "session_id": 463, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "i also put up some of our class notes for reference", "session_id": 463, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "have you learned the unit circle yet?", "session_id": 463, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "yes she went over it", "session_id": 463, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "okay perfect, just wanted to check", "session_id": 463, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "since its an angle on the circle, we can just use that", "session_id": 463, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "okay", "session_id": 463, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "oh wait, this last note looks like you were learning a proof for the unit circle?", "session_id": 463, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "a proof?", "session_id": 463, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "uhh i\u2019m not sure exactly", "session_id": 463, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "sorry, wrong word. but basically it looks like that note is explaining how the unit circle works", "session_id": 463, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "yeah most likely, during her lecture", "session_id": 463, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "i can upload the whole circle if youd like?", "session_id": 463, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "yes sure", "session_id": 463, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "can you see it?", "session_id": 463, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "yes Alex", "session_id": 463, "sequence_id": 23, "annotations": [{"pii_type": "PERSON", "surrogate": "Alex", "start": 4, "end": 8}]}
{"role": "student", "content": "so going to sin45? how do we start these things again?", "session_id": 463, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "so the way i learned it, cos values are your x coordinate and sin is y", "session_id": 463, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "so for this question youd go to 45 degrees on the circle, and select the y coordinate", "session_id": 463, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "sqrt2/2?", "session_id": 463, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "yup thats it!", "session_id": 463, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "okayy but she\u2019s definitely not going to give us a unit circle on the test for reference so what\u2019s another way to figure this out?", "session_id": 463, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "thats fair! give me a second to give myself a mini refresher", "session_id": 463, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "no problemm", "session_id": 463, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "ok lets see if i can explain this", "session_id": 463, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "sin is the opposite over hypotenuse right?", "session_id": 463, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "yes", "session_id": 463, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "and we know the radius has a length of 1, and its a 45 degree, meaning its a right triangle", "session_id": 463, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "yes", "session_id": 463, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "so for a right triangle with a length of 1, do you have a guess what the width would be?", "session_id": 463, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "umm", "session_id": 463, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "oops not width, the height", "session_id": 463, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "double the length?", "session_id": 463, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "why would it be double?", "session_id": 463, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "actually lets back up some.", "session_id": 463, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "okay", "session_id": 463, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "we know we have equal angles since the triangle will only 180 degrees total (45 +45 +90)", "session_id": 463, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "right", "session_id": 463, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "if the angles are equal, the lengths must also be equal, right?", "session_id": 463, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 463, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "now we can just say that our 2 equal lengths are 1, and use the pythagorean theory on them to solve for our hypotenuse", "session_id": 463, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "a^2 + b^2 = c^2?", "session_id": 463, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "exactly", "session_id": 463, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "just to check, which variable is the hypotenuse?", "session_id": 463, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "c", "session_id": 463, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "yup thats it!", "session_id": 463, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "so solving for c, what would the length of our hypotenuse be?", "session_id": 463, "sequence_id": 54, "annotations": []}
{"role": "student", "content": "90 right?", "session_id": 463, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "good guess, thats the angle across from it", "session_id": 463, "sequence_id": 56, "annotations": []}
{"role": "student", "content": "oh", "session_id": 463, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "if we use 1 for a and b on the pythagorean, what would c be?", "session_id": 463, "sequence_id": 58, "annotations": []}
{"role": "student", "content": "2", "session_id": 463, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "almost! remember it equals c^2", "session_id": 463, "sequence_id": 60, "annotations": []}
{"role": "student", "content": "4", "session_id": 463, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "youd do the opposite of square, youd use the square root", "session_id": 463, "sequence_id": 62, "annotations": []}
{"role": "student", "content": "oh oops", "session_id": 463, "sequence_id": 63, "annotations": []}
{"role": "student", "content": "square root 2", "session_id": 463, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "yep! kinda understand why?", "session_id": 463, "sequence_id": 65, "annotations": []}
{"role": "student", "content": "because the hyp is sqrt2 times bigger than the 45 degree angles?", "session_id": 463, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "lol thats not quite the answer i was looking for but youre right!", "session_id": 463, "sequence_id": 67, "annotations": []}
{"role": "student", "content": "lol \ud83d\ude2d", "session_id": 463, "sequence_id": 68, "annotations": []}
{"role": "student", "content": "okayy thank you for this. i\u2019m going to work on more notes", "session_id": 463, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "okay, you almost have the answer. you sure?", "session_id": 463, "sequence_id": 70, "annotations": []}
{"role": "student", "content": "yes i\u2019m sure i\u2019ll talk to my teacher also", "session_id": 463, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "okay good luck then!", "session_id": 463, "sequence_id": 72, "annotations": []}
{"role": "student", "content": "thank you!", "session_id": 463, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "Hello!", "session_id": 473, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "hello!", "session_id": 473, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "I'm very confused on this problem", "session_id": 473, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "Gotcha! Gimme a min to read", "session_id": 473, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "Did you do this bit? Or is that part of the question?", "session_id": 473, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "that's part of the question", "session_id": 473, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "Oh! So it did a lot of the work for you. Nice!", "session_id": 473, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "Do you understand where that comes from?", "session_id": 473, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "no but some of it", "session_id": 473, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "What parts don't you understand?", "session_id": 473, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "so I understand x + 11 but the rest of it is just not easy to grasp", "session_id": 473, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "Gotcha! Let me run through it quick", "session_id": 473, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "This is just the formula for volume", "session_id": 473, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "With me so far?", "session_id": 473, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "yes d is for height right?", "session_id": 473, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "depth", "session_id": 473, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "is yes in volume its  whl", "session_id": 473, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "which is guess is kinda the same", "session_id": 473, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "oh okk", "session_id": 473, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "i love different formulas that mean the same thing :(", "session_id": 473, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "but I don't get this part", "session_id": 473, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "Does these formulas make sense?", "session_id": 473, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "ok I see yes", "session_id": 473, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "you isolated the d", "session_id": 473, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "by subtracting w and l", "session_id": 473, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "Right!", "session_id": 473, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "yes I originally thought the first way you wrote is how its supposed to be and got confused on how they wrote it", "session_id": 473, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "I actually wrote all these variables wrong", "session_id": 473, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "hilarious", "session_id": 473, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "I get the top 2", "session_id": 473, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "but the third one", "session_id": 473, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "did they solve it", "session_id": 473, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "So we do one more thing with the blue equation", "session_id": 473, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "DO you see how I took the result we got for l in black", "session_id": 473, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "And then plugged it in the the blue side?", "session_id": 473, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "yes!", "session_id": 473, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "(thge arrow)", "session_id": 473, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "So that's how we get that!", "session_id": 473, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "ok I see!", "session_id": 473, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "They just use \"x\" instead of \"d\" in the formulas they gave", "session_id": 473, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "So we've learned that I'm bad at reading", "session_id": 473, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "But does it make sense how we found relations betweeen the variables", "session_id": 473, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "yes!", "session_id": 473, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "Then did some solving for l in terms of depth", "session_id": 473, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "And then solved for w in terms of depth", "session_id": 473, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "yes", "session_id": 473, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "So then we only have depth at the end of the day!", "session_id": 473, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "Cool!", "session_id": 473, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "Now the real problem", "session_id": 473, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "Can you solve the resulting equation for x?", "session_id": 473, "sequence_id": 49, "annotations": []}
{"role": "student", "content": "yes", "session_id": 473, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "Missing an x?", "session_id": 473, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "then we find solution?", "session_id": 473, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "Makes sense to me! Do you have experience solving equations like this?", "session_id": 473, "sequence_id": 53, "annotations": []}
{"role": "student", "content": "yes!", "session_id": 473, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "Cool!", "session_id": 473, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "Out of curiosity, how'd you know x-4 would divide evenly?", "session_id": 473, "sequence_id": 56, "annotations": []}
{"role": "student", "content": "I have a graphing calculator so I found one factor of it", "session_id": 473, "sequence_id": 57, "annotations": []}
{"role": "student", "content": "but I might be stuck on this one", "session_id": 473, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "That does work if you're allowed to have a calculator!", "session_id": 473, "sequence_id": 59, "annotations": []}
{"role": "student", "content": "it gave me a decimal when doing quadratic equation", "session_id": 473, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "This isn't quadratic! The degree is 3", "session_id": 473, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "Oh that!", "session_id": 473, "sequence_id": 62, "annotations": []}
{"role": "student", "content": "no synthetic division", "session_id": 473, "sequence_id": 63, "annotations": []}
{"role": "student", "content": "yes", "session_id": 473, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "Then yeah, that might not work out well", "session_id": 473, "sequence_id": 65, "annotations": []}
{"role": "student", "content": "it still gave me a decimal I thought it would be complex", "session_id": 473, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "I trust you on the arithmetic :)", "session_id": 473, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "Why do you think one solution would be complex?", "session_id": 473, "sequence_id": 68, "annotations": []}
{"role": "student", "content": "because quadratic equation didn't work", "session_id": 473, "sequence_id": 69, "annotations": []}
{"role": "student", "content": "but we could try 4 again", "session_id": 473, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "What do you mean \"didn't work\"?", "session_id": 473, "sequence_id": 71, "annotations": []}
{"role": "student", "content": "it might be multiplicity", "session_id": 473, "sequence_id": 72, "annotations": []}
{"role": "student", "content": "didn't work meaning decimal", "session_id": 473, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "That still works!", "session_id": 473, "sequence_id": 74, "annotations": []}
{"role": "volunteer", "content": "Decimals are numbers too :)", "session_id": 473, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "Don't divide again!", "session_id": 473, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "what did quadform give?", "session_id": 473, "sequence_id": 77, "annotations": []}
{"role": "student", "content": "12.73", "session_id": 473, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "My calculator gave these two solution", "session_id": 473, "sequence_id": 79, "annotations": []}
{"role": "student", "content": "whole number is a bit easier tho", "session_id": 473, "sequence_id": 80, "annotations": []}
{"role": "volunteer", "content": "That's true! But decimals still count as solutions", "session_id": 473, "sequence_id": 81, "annotations": []}
{"role": "volunteer", "content": "Not everything is a whole number all the time :(", "session_id": 473, "sequence_id": 82, "annotations": []}
{"role": "volunteer", "content": "Sometimes the real world is messy", "session_id": 473, "sequence_id": 83, "annotations": []}
{"role": "volunteer", "content": "Does it make sense how I got those answers from the quadratic formula?", "session_id": 473, "sequence_id": 84, "annotations": []}
{"role": "student", "content": "yes but could we get whole numbers I think we could not using 4?", "session_id": 473, "sequence_id": 85, "annotations": []}
{"role": "volunteer", "content": "You cannot get whole numbers", "session_id": 473, "sequence_id": 86, "annotations": []}
{"role": "volunteer", "content": "Besides 4", "session_id": 473, "sequence_id": 87, "annotations": []}
{"role": "volunteer", "content": "To be clear also, you have to use 4", "session_id": 473, "sequence_id": 88, "annotations": []}
{"role": "volunteer", "content": "You can't pick a different number and have a zero remainder", "session_id": 473, "sequence_id": 89, "annotations": []}
{"role": "student", "content": "so its complex because my teacher said that they come in pairs so 4 is the whole number and the other two are probably complex?", "session_id": 473, "sequence_id": 90, "annotations": []}
{"role": "volunteer", "content": "None of the solutions are complex", "session_id": 473, "sequence_id": 91, "annotations": []}
{"role": "volunteer", "content": "Let me draw some pictures to explain", "session_id": 473, "sequence_id": 92, "annotations": []}
{"role": "volunteer", "content": "Before the pictures, a quick fact:", "session_id": 473, "sequence_id": 93, "annotations": []}
{"role": "volunteer", "content": "If you have a polynomial of degree n, you must have n roots (real or complex)", "session_id": 473, "sequence_id": 94, "annotations": []}
{"role": "volunteer", "content": "So a quadratic (degree 2) has two roots always", "session_id": 473, "sequence_id": 95, "annotations": []}
{"role": "volunteer", "content": "This is a cubic, so it has 3 roots.", "session_id": 473, "sequence_id": 96, "annotations": []}
{"role": "volunteer", "content": "Does that make sense?", "session_id": 473, "sequence_id": 97, "annotations": []}
{"role": "student", "content": "yes!", "session_id": 473, "sequence_id": 98, "annotations": []}
{"role": "volunteer", "content": "Here's a random cubic", "session_id": 473, "sequence_id": 99, "annotations": []}
{"role": "volunteer", "content": "It has 3 roots!", "session_id": 473, "sequence_id": 100, "annotations": []}
{"role": "volunteer", "content": "They're all real because I can draw them", "session_id": 473, "sequence_id": 101, "annotations": []}
{"role": "volunteer", "content": "THey may or may not be whole numbers", "session_id": 473, "sequence_id": 102, "annotations": []}
{"role": "volunteer", "content": "They might be decimals", "session_id": 473, "sequence_id": 103, "annotations": []}
{"role": "volunteer", "content": "But whole numbers and decimals are both real numbers", "session_id": 473, "sequence_id": 104, "annotations": []}
{"role": "volunteer", "content": "Make sense?", "session_id": 473, "sequence_id": 105, "annotations": []}
{"role": "student", "content": "yes", "session_id": 473, "sequence_id": 106, "annotations": []}
{"role": "volunteer", "content": "Here's another cubic", "session_id": 473, "sequence_id": 107, "annotations": []}
{"role": "volunteer", "content": "It also has 3 roots", "session_id": 473, "sequence_id": 108, "annotations": []}
{"role": "student", "content": "so are they the 2 possibilities?", "session_id": 473, "sequence_id": 109, "annotations": []}
{"role": "volunteer", "content": "Because it's a cubic, and it must have 3 roots", "session_id": 473, "sequence_id": 110, "annotations": []}
{"role": "volunteer", "content": "But I can only draw 1!", "session_id": 473, "sequence_id": 111, "annotations": []}
{"role": "volunteer", "content": "What happened to the other 2? They're imaginary", "session_id": 473, "sequence_id": 112, "annotations": []}
{"role": "volunteer", "content": "So like 3.5 + 2i", "session_id": 473, "sequence_id": 113, "annotations": []}
{"role": "volunteer", "content": "Imaginary means it has an \"i\" in it numerically, and it means I can't draw it graphically", "session_id": 473, "sequence_id": 114, "annotations": []}
{"role": "student", "content": "yes that's what I meant not complex I get it mixed up", "session_id": 473, "sequence_id": 115, "annotations": []}
{"role": "volunteer", "content": "Does that make sense?", "session_id": 473, "sequence_id": 116, "annotations": []}
{"role": "volunteer", "content": "Cool! Then for completeness the last case is multiplicity", "session_id": 473, "sequence_id": 117, "annotations": []}
{"role": "student", "content": "but would you say they are eimaginary because it didn't show up in the graphing calculator", "session_id": 473, "sequence_id": 118, "annotations": []}
{"role": "volunteer", "content": "Do -11.59 and 2.59 not show up in your calculator?", "session_id": 473, "sequence_id": 119, "annotations": []}
{"role": "student", "content": "no not for 0", "session_id": 473, "sequence_id": 120, "annotations": []}
{"role": "volunteer", "content": "I'm not sure what you mean \"for 0\"", "session_id": 473, "sequence_id": 121, "annotations": []}
{"role": "volunteer", "content": "Can you explain?", "session_id": 473, "sequence_id": 122, "annotations": []}
{"role": "student", "content": "so x intercept y would be 0", "session_id": 473, "sequence_id": 123, "annotations": []}
{"role": "student", "content": "just like 4", "session_id": 473, "sequence_id": 124, "annotations": []}
{"role": "student", "content": "if you input 4 in the equation it makes solution 0", "session_id": 473, "sequence_id": 125, "annotations": []}
{"role": "volunteer", "content": "That means 4 is a root!", "session_id": 473, "sequence_id": 126, "annotations": []}
{"role": "student", "content": "and it sort of \"Skips\" it- I had 2, -32", "session_id": 473, "sequence_id": 127, "annotations": []}
{"role": "student", "content": "yes", "session_id": 473, "sequence_id": 128, "annotations": []}
{"role": "student", "content": "so I wasn't sure about deicmals", "session_id": 473, "sequence_id": 129, "annotations": []}
{"role": "volunteer", "content": "For context, here's a graph of the function kinda zoomed in", "session_id": 473, "sequence_id": 130, "annotations": []}
{"role": "volunteer", "content": "There's the root x=4", "session_id": 473, "sequence_id": 131, "annotations": []}
{"role": "volunteer", "content": "But there are two other roots!", "session_id": 473, "sequence_id": 132, "annotations": []}
{"role": "volunteer", "content": "Which is what we found using quadform on the result of dividing (x-4)", "session_id": 473, "sequence_id": 133, "annotations": []}
{"role": "student", "content": "yea but my graphing calculator is from the school so I don't know how I'll be able to do that haha", "session_id": 473, "sequence_id": 134, "annotations": []}
{"role": "student", "content": "but what's the answer?", "session_id": 473, "sequence_id": 135, "annotations": []}
{"role": "volunteer", "content": "To be clear, you don't need to have this graph :)", "session_id": 473, "sequence_id": 136, "annotations": []}
{"role": "volunteer", "content": "You just have to do quadform after dividing the x-4", "session_id": 473, "sequence_id": 137, "annotations": []}
{"role": "volunteer", "content": "You just seem hung up on the fact they're not whole numbers", "session_id": 473, "sequence_id": 138, "annotations": []}
{"role": "student", "content": "true, but I did put in the answer we got, but it came up wrong and it shows the answer eventually and it said: 4.0 , 2.6", "session_id": 473, "sequence_id": 139, "annotations": []}
{"role": "volunteer", "content": "I just want to be clear that decimals are still real answers", "session_id": 473, "sequence_id": 140, "annotations": []}
{"role": "volunteer", "content": "If you round 2.589 to the nearest tenth as the problem says, what do you get?", "session_id": 473, "sequence_id": 141, "annotations": []}
{"role": "student", "content": "2.6 but what about -11?", "session_id": 473, "sequence_id": 142, "annotations": []}
{"role": "volunteer", "content": "Ah, now the problem context becomes important!", "session_id": 473, "sequence_id": 143, "annotations": []}
{"role": "volunteer", "content": "Is -11 a possible depth?", "session_id": 473, "sequence_id": 144, "annotations": []}
{"role": "student", "content": "no", "session_id": 473, "sequence_id": 145, "annotations": []}
{"role": "volunteer", "content": "So that means it's not a possible answer for the problem", "session_id": 473, "sequence_id": 146, "annotations": []}
{"role": "volunteer", "content": "Which is different from being an imaginary solution", "session_id": 473, "sequence_id": 147, "annotations": []}
{"role": "volunteer", "content": "Does that distinction make sense?", "session_id": 473, "sequence_id": 148, "annotations": []}
{"role": "volunteer", "content": "This is a bit pedantic, but important!", "session_id": 473, "sequence_id": 149, "annotations": []}
{"role": "student", "content": "yes and I had another one! could you help me with this other problem", "session_id": 473, "sequence_id": 150, "annotations": []}
{"role": "volunteer", "content": "Sure!", "session_id": 473, "sequence_id": 151, "annotations": []}
{"role": "volunteer", "content": "To recap, I think you did all the hard math right", "session_id": 473, "sequence_id": 152, "annotations": []}
{"role": "volunteer", "content": "Sorry, think it's easier to clear the whole board :)", "session_id": 473, "sequence_id": 153, "annotations": []}
{"role": "student", "content": "no its better actually", "session_id": 473, "sequence_id": 154, "annotations": []}
{"role": "volunteer", "content": "And just remember that decimals are real numbers too!", "session_id": 473, "sequence_id": 155, "annotations": []}
{"role": "student", "content": "yes!", "session_id": 473, "sequence_id": 156, "annotations": []}
{"role": "volunteer", "content": "Oh I was scrolled down, I see now!", "session_id": 473, "sequence_id": 157, "annotations": []}
{"role": "volunteer", "content": "What are you thinking?", "session_id": 473, "sequence_id": 158, "annotations": []}
{"role": "student", "content": "neither?", "session_id": 473, "sequence_id": 159, "annotations": []}
{"role": "student", "content": "they're both opposite", "session_id": 473, "sequence_id": 160, "annotations": []}
{"role": "student", "content": "its not even or odd", "session_id": 473, "sequence_id": 161, "annotations": []}
{"role": "volunteer", "content": "What do you mean by both opposite?", "session_id": 473, "sequence_id": 162, "annotations": []}
{"role": "student", "content": "like its facing opposite direction", "session_id": 473, "sequence_id": 163, "annotations": []}
{"role": "volunteer", "content": "Let me do a quick explanation to be sure we're on the same page", "session_id": 473, "sequence_id": 164, "annotations": []}
{"role": "volunteer", "content": "5ish mins!", "session_id": 473, "sequence_id": 165, "annotations": []}
{"role": "volunteer", "content": "This is the def of an \"even\" function", "session_id": 473, "sequence_id": 166, "annotations": []}
{"role": "student", "content": "yes", "session_id": 473, "sequence_id": 167, "annotations": []}
{"role": "volunteer", "content": "It's symmetric about the y-xis", "session_id": 473, "sequence_id": 168, "annotations": []}
{"role": "student", "content": "its odd", "session_id": 473, "sequence_id": 169, "annotations": []}
{"role": "volunteer", "content": "Odd function are symmetric about the origin", "session_id": 473, "sequence_id": 170, "annotations": []}
{"role": "volunteer", "content": "Back to the function you have!", "session_id": 473, "sequence_id": 171, "annotations": []}
{"role": "volunteer", "content": "Is it symmetric about the y-axis?", "session_id": 473, "sequence_id": 172, "annotations": []}
{"role": "student", "content": "if it was wouldn't it look like this", "session_id": 473, "sequence_id": 173, "annotations": []}
{"role": "volunteer", "content": "Yep! It's not even!", "session_id": 473, "sequence_id": 174, "annotations": []}
{"role": "volunteer", "content": "Is it symmetric about the origin?", "session_id": 473, "sequence_id": 175, "annotations": []}
{"role": "student", "content": "yes", "session_id": 473, "sequence_id": 176, "annotations": []}
{"role": "volunteer", "content": "Right! So what's the answer here?", "session_id": 473, "sequence_id": 177, "annotations": []}
{"role": "student", "content": "odd?", "session_id": 473, "sequence_id": 178, "annotations": []}
{"role": "volunteer", "content": "That's what I got!", "session_id": 473, "sequence_id": 179, "annotations": []}
{"role": "student", "content": "what about", "session_id": 473, "sequence_id": 180, "annotations": []}
{"role": "volunteer", "content": "For determining even/odd from graphs, keep the two symmetry definitions in mind!", "session_id": 473, "sequence_id": 181, "annotations": []}
{"role": "student", "content": "numbers", "session_id": 473, "sequence_id": 182, "annotations": []}
{"role": "volunteer", "content": "What numbers?", "session_id": 473, "sequence_id": 183, "annotations": []}
{"role": "student", "content": "its not letting me but its x^11-x^4", "session_id": 473, "sequence_id": 184, "annotations": []}
{"role": "volunteer", "content": "It's asking if it's even/odd?", "session_id": 473, "sequence_id": 185, "annotations": []}
{"role": "student", "content": "yes", "session_id": 473, "sequence_id": 186, "annotations": []}
{"role": "volunteer", "content": "Can you use the algebraic definitions?", "session_id": 473, "sequence_id": 187, "annotations": []}
{"role": "volunteer", "content": "where f(x) = x^11 - x^4", "session_id": 473, "sequence_id": 188, "annotations": []}
{"role": "student", "content": "so its 1 which means + and odd for 11 so its going down to up", "session_id": 473, "sequence_id": 189, "annotations": []}
{"role": "volunteer", "content": "I'm not sure what you mean. How does that help for even/odd?", "session_id": 473, "sequence_id": 190, "annotations": []}
{"role": "volunteer", "content": "I would start by finding f(-x). Does that make sense?", "session_id": 473, "sequence_id": 191, "annotations": []}
{"role": "student", "content": "so there's a trick my math teacher taugt", "session_id": 473, "sequence_id": 192, "annotations": []}
{"role": "student", "content": "so if the coefficient is negative it'll end in negative", "session_id": 473, "sequence_id": 193, "annotations": []}
{"role": "student", "content": "and considering the exponent", "session_id": 473, "sequence_id": 194, "annotations": []}
{"role": "student", "content": "if its odd or eve", "session_id": 473, "sequence_id": 195, "annotations": []}
{"role": "volunteer", "content": "That's true for graphing in general! But it's not sufficient for odd/even", "session_id": 473, "sequence_id": 196, "annotations": []}
{"role": "student", "content": "it determines whether the arrows are together or seperate", "session_id": 473, "sequence_id": 197, "annotations": []}
{"role": "volunteer", "content": "What if I add some curves", "session_id": 473, "sequence_id": 198, "annotations": []}
{"role": "volunteer", "content": "That green function starts up and ends up, but it's not even!", "session_id": 473, "sequence_id": 199, "annotations": []}
{"role": "volunteer", "content": "It's not symmetric", "session_id": 473, "sequence_id": 200, "annotations": []}
{"role": "volunteer", "content": "The blue function is f(x) = x^2, which is even", "session_id": 473, "sequence_id": 201, "annotations": []}
{"role": "volunteer", "content": "Let me prove to you it's even, so you can see what I mean!", "session_id": 473, "sequence_id": 202, "annotations": []}
{"role": "student", "content": "no I know what even and odd are but not in terms of numbers", "session_id": 473, "sequence_id": 203, "annotations": []}
{"role": "student", "content": "like the example I gave", "session_id": 473, "sequence_id": 204, "annotations": []}
{"role": "volunteer", "content": "Do you see how I proved f(x) = x^2 is even in blue?", "session_id": 473, "sequence_id": 205, "annotations": []}
{"role": "volunteer", "content": "I computed f(-x), did some simplifying, and saw it was equal to f(x)!", "session_id": 473, "sequence_id": 206, "annotations": []}
{"role": "student", "content": "can you do that with the problem I gave just for reference", "session_id": 473, "sequence_id": 207, "annotations": []}
{"role": "volunteer", "content": "That's the algebraic definition of an even function, when f(-x) = f(x)", "session_id": 473, "sequence_id": 208, "annotations": []}
{"role": "volunteer", "content": "I want you to do that one yourself :)", "session_id": 473, "sequence_id": 209, "annotations": []}
{"role": "volunteer", "content": "What's f(-x) for f(x) = x^11 - x^4?", "session_id": 473, "sequence_id": 210, "annotations": []}
{"role": "volunteer", "content": "Where'd that -1 come from?", "session_id": 473, "sequence_id": 211, "annotations": []}
{"role": "volunteer", "content": "Oh, it's an x!", "session_id": 473, "sequence_id": 212, "annotations": []}
{"role": "student", "content": "yea", "session_id": 473, "sequence_id": 213, "annotations": []}
{"role": "volunteer", "content": "What happened to the exponents?", "session_id": 473, "sequence_id": 214, "annotations": []}
{"role": "student", "content": "did you apply the exponents and still keep them?", "session_id": 473, "sequence_id": 215, "annotations": []}
{"role": "volunteer", "content": "You definitely need to keep the exponents. Otherwise, those expression aren't equal!", "session_id": 473, "sequence_id": 216, "annotations": []}
{"role": "volunteer", "content": "The goal is to remove the parenthesis to simplify the negative signs", "session_id": 473, "sequence_id": 217, "annotations": []}
{"role": "volunteer", "content": "The -x^11 you did correctly!", "session_id": 473, "sequence_id": 218, "annotations": []}
{"role": "volunteer", "content": "A negative sign to an odd power stays neegative", "session_id": 473, "sequence_id": 219, "annotations": []}
{"role": "volunteer", "content": "What about an even power?", "session_id": 473, "sequence_id": 220, "annotations": []}
{"role": "student", "content": "it gets positive?", "session_id": 473, "sequence_id": 221, "annotations": []}
{"role": "volunteer", "content": "Yep! Is that what you wrote?", "session_id": 473, "sequence_id": 222, "annotations": []}
{"role": "student", "content": "yes", "session_id": 473, "sequence_id": 223, "annotations": []}
{"role": "volunteer", "content": "Not quite! You combined it with the subtraction", "session_id": 473, "sequence_id": 224, "annotations": []}
{"role": "student", "content": "so what would this mean for odd or even?", "session_id": 473, "sequence_id": 225, "annotations": []}
{"role": "volunteer", "content": "This is the same as what you said going back a step", "session_id": 473, "sequence_id": 226, "annotations": []}
{"role": "volunteer", "content": "Is it correct?", "session_id": 473, "sequence_id": 227, "annotations": []}
{"role": "volunteer", "content": "Let me make this simpler to focus on what I mean!", "session_id": 473, "sequence_id": 228, "annotations": []}
{"role": "student", "content": "is it positiv x?", "session_id": 473, "sequence_id": 229, "annotations": []}
{"role": "volunteer", "content": "Right!", "session_id": 473, "sequence_id": 230, "annotations": []}
{"role": "student", "content": "so you ignore the subtraction", "session_id": 473, "sequence_id": 231, "annotations": []}
{"role": "volunteer", "content": "So the subtraction stays!", "session_id": 473, "sequence_id": 232, "annotations": []}
{"role": "volunteer", "content": "This got kinda messy. Does it make sense where we are?", "session_id": 473, "sequence_id": 233, "annotations": []}
{"role": "student", "content": "yes but how does this apply to odd and even or neither", "session_id": 473, "sequence_id": 234, "annotations": []}
{"role": "volunteer", "content": "Good question!", "session_id": 473, "sequence_id": 235, "annotations": []}
{"role": "volunteer", "content": "We did step 1: find f(-x)", "session_id": 473, "sequence_id": 236, "annotations": []}
{"role": "volunteer", "content": "Now let's check for evenness", "session_id": 473, "sequence_id": 237, "annotations": []}
{"role": "volunteer", "content": "The check is: f(-x) = f(x)", "session_id": 473, "sequence_id": 238, "annotations": []}
{"role": "volunteer", "content": "Or", "session_id": 473, "sequence_id": 239, "annotations": []}
{"role": "volunteer", "content": "-x^11-x^4 = x^11-x^4", "session_id": 473, "sequence_id": 240, "annotations": []}
{"role": "volunteer", "content": "Is that equality true?", "session_id": 473, "sequence_id": 241, "annotations": []}
{"role": "student", "content": "no", "session_id": 473, "sequence_id": 242, "annotations": []}
{"role": "volunteer", "content": "Right! So the function isn't even", "session_id": 473, "sequence_id": 243, "annotations": []}
{"role": "volunteer", "content": "Does that make sense how we applied to algebraic definition?", "session_id": 473, "sequence_id": 244, "annotations": []}
{"role": "student", "content": "yes", "session_id": 473, "sequence_id": 245, "annotations": []}
{"role": "student", "content": "but then how do we know if its odd or neither", "session_id": 473, "sequence_id": 246, "annotations": []}
{"role": "volunteer", "content": "Good question again!", "session_id": 473, "sequence_id": 247, "annotations": []}
{"role": "volunteer", "content": "Let's move onto the algebraic definition of odd", "session_id": 473, "sequence_id": 248, "annotations": []}
{"role": "volunteer", "content": "Can you find it on the board?", "session_id": 473, "sequence_id": 249, "annotations": []}
{"role": "volunteer", "content": "That's the graphical definition!", "session_id": 473, "sequence_id": 250, "annotations": []}
{"role": "volunteer", "content": "Because you need a picture to figure it out", "session_id": 473, "sequence_id": 251, "annotations": []}
{"role": "volunteer", "content": "What's above that?", "session_id": 473, "sequence_id": 252, "annotations": []}
{"role": "volunteer", "content": "Aha!", "session_id": 473, "sequence_id": 253, "annotations": []}
{"role": "volunteer", "content": "Can you apply that definition like we did the one for even?", "session_id": 473, "sequence_id": 254, "annotations": []}
{"role": "volunteer", "content": "You can also see the f(x) = x^3 example I did", "session_id": 473, "sequence_id": 255, "annotations": []}
{"role": "student", "content": "so we don't always put - inside of x?", "session_id": 473, "sequence_id": 256, "annotations": []}
{"role": "volunteer", "content": "And keep in mind, we already know f(-x) from before!", "session_id": 473, "sequence_id": 257, "annotations": []}
{"role": "volunteer", "content": "We do that to get f(-x)", "session_id": 473, "sequence_id": 258, "annotations": []}
{"role": "volunteer", "content": "Which is enough for even", "session_id": 473, "sequence_id": 259, "annotations": []}
{"role": "volunteer", "content": "But as you can see in the formula, odd also needs -f(x), which is different from f(-x)", "session_id": 473, "sequence_id": 260, "annotations": []}
{"role": "volunteer", "content": "Even though they look pretty similar", "session_id": 473, "sequence_id": 261, "annotations": []}
{"role": "volunteer", "content": "Does the difference make sense?", "session_id": 473, "sequence_id": 262, "annotations": []}
{"role": "student", "content": "no I don't get -f(x)", "session_id": 473, "sequence_id": 263, "annotations": []}
{"role": "student", "content": "or how to apply that one", "session_id": 473, "sequence_id": 264, "annotations": []}
{"role": "volunteer", "content": "Let's say g(x) = 4x^2 + 5x - 3", "session_id": 473, "sequence_id": 265, "annotations": []}
{"role": "volunteer", "content": "Then -g(x) = -(4x^2 + 5x - 3)", "session_id": 473, "sequence_id": 266, "annotations": []}
{"role": "volunteer", "content": "= -4x^2 - 5x + 3", "session_id": 473, "sequence_id": 267, "annotations": []}
{"role": "volunteer", "content": "Does the difference between f(-x) and -f(x) make more sense with that example?", "session_id": 473, "sequence_id": 268, "annotations": []}
{"role": "volunteer", "content": "For f(-x), we put the negative sign all the way on the inside", "session_id": 473, "sequence_id": 269, "annotations": []}
{"role": "student", "content": "yes", "session_id": 473, "sequence_id": 270, "annotations": []}
{"role": "volunteer", "content": "For -f(x), it's allllll the way on the outside", "session_id": 473, "sequence_id": 271, "annotations": []}
{"role": "volunteer", "content": "Perfect!", "session_id": 473, "sequence_id": 272, "annotations": []}
{"role": "volunteer", "content": "Simplify those parentheses!", "session_id": 473, "sequence_id": 273, "annotations": []}
{"role": "volunteer", "content": "Nice! Now, the important question", "session_id": 473, "sequence_id": 274, "annotations": []}
{"role": "volunteer", "content": "Is that equal to f(-x)?", "session_id": 473, "sequence_id": 275, "annotations": []}
{"role": "student", "content": "no", "session_id": 473, "sequence_id": 276, "annotations": []}
{"role": "volunteer", "content": "Right! So it's neither even nor odd", "session_id": 473, "sequence_id": 277, "annotations": []}
{"role": "volunteer", "content": "As a shorthand", "session_id": 473, "sequence_id": 278, "annotations": []}
{"role": "volunteer", "content": "That I think works after 1 min of thought", "session_id": 473, "sequence_id": 279, "annotations": []}
{"role": "volunteer", "content": "If you have all even powers, the function will be even", "session_id": 473, "sequence_id": 280, "annotations": []}
{"role": "volunteer", "content": "If you have all odd powers, the function will be odd", "session_id": 473, "sequence_id": 281, "annotations": []}
{"role": "volunteer", "content": "If you have a mixture, it will be neither", "session_id": 473, "sequence_id": 282, "annotations": []}
{"role": "volunteer", "content": "I thought about that for a full minute, so it might be true.", "session_id": 473, "sequence_id": 283, "annotations": []}
{"role": "volunteer", "content": "I think you can prove it with the same process you just did!", "session_id": 473, "sequence_id": 284, "annotations": []}
{"role": "volunteer", "content": "Although on a test, I would always do the full process and show my work :)", "session_id": 473, "sequence_id": 285, "annotations": []}
{"role": "volunteer", "content": "Anyway, that was a lot of info. Any questions?", "session_id": 473, "sequence_id": 286, "annotations": []}
{"role": "student", "content": "no but I think I get it", "session_id": 473, "sequence_id": 287, "annotations": []}
{"role": "volunteer", "content": "Cool!", "session_id": 473, "sequence_id": 288, "annotations": []}
{"role": "volunteer", "content": "I do have to go know, but good luck and have a good night!", "session_id": 473, "sequence_id": 289, "annotations": []}
{"role": "student", "content": "but I know its probably pretty late, thank you!!", "session_id": 473, "sequence_id": 290, "annotations": []}
{"role": "student", "content": "you too!!", "session_id": 473, "sequence_id": 291, "annotations": []}
{"role": "student", "content": "functions", "session_id": 551, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "hello", "session_id": 551, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "hello", "session_id": 551, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "My main focus is that I want to strength reasoning with features of functions", "session_id": 551, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "sure", "session_id": 551, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "what do you know about functions so far", "session_id": 551, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "so far I know that for something to be a function its needs one input and one output", "session_id": 551, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "I understand where to identiy where a grapgh is negative and where its positive", "session_id": 551, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "that's a good start", "session_id": 551, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "to be more specific, you put a number into the function, and it gives you another number", "session_id": 551, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "so for example, the function f(x) = x^2, takes in some number, and squares it", "session_id": 551, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "so for practice what would f(3) be", "session_id": 551, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "9", "session_id": 551, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "yep", "session_id": 551, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "now let's graph it", "session_id": 551, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "In my class we are learning aabout how range can be negative infiity to psitive infity and things like Im confused on that", "session_id": 551, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "alright", "session_id": 551, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "so first do you what a range is", "session_id": 551, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "would it be how far right and left a line goes", "session_id": 551, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "actually that would be domain", "session_id": 551, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "range is the vertical one", "session_id": 551, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "mmm ok", "session_id": 551, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "so let me draw an example", "session_id": 551, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "if a function goes up infinitly", "session_id": 551, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "it goes up to positive infinity", "session_id": 551, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "and the opposite for if it goes down", "session_id": 551, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "so the negative infinity part is right", "session_id": 551, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "why does y equal 0 is it cux it stopped there", "session_id": 551, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "what what do you mean", "session_id": 551, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "oh i meant like the graph has a maximum of 0", "session_id": 551, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "you said that y-0, is that because thats how far up it goes", "session_id": 551, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "so the answer would be negative infinity to zero", "session_id": 551, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "mm ok I understand", "session_id": 551, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "here's another question", "session_id": 551, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "wait i'm confused on the answer", "session_id": 551, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "are you saying infinity to 1", "session_id": 551, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "infinity to 1", "session_id": 551, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "yes mb", "session_id": 551, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "yea then that's correct", "session_id": 551, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "but you want the smaller number first", "session_id": 551, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "so you would put 1 to infinity intead", "session_id": 551, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "but it's basically correct", "session_id": 551, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "mmm ok so like lets say for the domain it would be negative inifty to positive infinity", "session_id": 551, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "yea exactly", "session_id": 551, "sequence_id": 43, "annotations": []}
{"role": "student", "content": "how can i know in like lets f(x)= x ^ 5   how do i know what set of numbers * natural, integers), rational, imaginary) can i plug in", "session_id": 551, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "wait what do you mean", "session_id": 551, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "like what types of numbers you can put into the function?", "session_id": 551, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "yes", "session_id": 551, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "well for normal functions you can plug in any number", "session_id": 551, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "even  imaginary and irrational numbers", "session_id": 551, "sequence_id": 49, "annotations": []}
{"role": "student", "content": "Do Now: For each pair of functions\na. How do the graphs of the functions in each pair compare?\nb. What conclusions can you draw about the identity given with each pair (are they\nalways equal)? Explain.\n2\ni. \ud835\udc53(\ud835\udc65) = \ud835\udc65 and \ud835\udc54(\ud835\udc65) = x   lets say this one", "session_id": 551, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "alright", "session_id": 551, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "so notice how the functions are the same right", "session_id": 551, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "they both take in a value and give you that value", "session_id": 551, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "so you can probably guess what a is", "session_id": 551, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "Hi! How can I help?", "session_id": 500, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "Hi", "session_id": 500, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "1/5c-5/6=4/5c + 1/2", "session_id": 500, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "and you are asked to solve for c?", "session_id": 500, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "yes", "session_id": 500, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "okay so what is the first step to solving this problem?", "session_id": 500, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "find the LCD", "session_id": 500, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "yes you can if that makes it easier for you!", "session_id": 500, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "so in this case what would it be?", "session_id": 500, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "30", "session_id": 500, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 500, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "now how would you begin to solve this?", "session_id": 500, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "you have to subtract 6/30c from each side?", "session_id": 500, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "yes!", "session_id": 500, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "now what is the next steo?", "session_id": 500, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "subtract 15/30 from -25/30", "session_id": 500, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "exactly!", "session_id": 500, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "and what is the next step?", "session_id": 500, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "divide", "session_id": 500, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "yup", "session_id": 500, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "does that make sense?", "session_id": 500, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "yes!", "session_id": 500, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "do you have any other problems do go over?", "session_id": 500, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "yes please", "session_id": 500, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "of course!", "session_id": 500, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "am i good to delete what is on the board currently?", "session_id": 500, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "7/6v-21/40=3/8-10/3v", "session_id": 500, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "yes", "session_id": 500, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "okay great! I will write it on the board", "session_id": 500, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "okay so what is the first step?", "session_id": 500, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "hello?", "session_id": 500, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "Hello!", "session_id": 627, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "How's it going?", "session_id": 627, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "salam how are u", "session_id": 627, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "Alaikum Ahmed!", "session_id": 627, "sequence_id": 3, "annotations": [{"pii_type": "PERSON", "surrogate": "Ahmed", "start": 8, "end": 13}]}
{"role": "volunteer", "content": "I'm doing great :) How about you?", "session_id": 627, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "good", "session_id": 627, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "That's good :D How can I help you today", "session_id": 627, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "my problem is when they give me a rule like y=3x+3 i dont know how to represent it on the graph", "session_id": 627, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "Well I can definitely help with that!", "session_id": 627, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "Let me put a graph up first and I'll explain!", "session_id": 627, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "thanks", "session_id": 627, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "where are u from", "session_id": 627, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "Do you prefer chat or mic use?", "session_id": 627, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "let me guess", "session_id": 627, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "Texas", "session_id": 627, "sequence_id": 14, "annotations": [{"pii_type": "LOCATION", "surrogate": "Texas", "start": 0, "end": 5}]}
{"role": "student", "content": "chat", "session_id": 627, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "Nope! Want to guess again?", "session_id": 627, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "California", "session_id": 627, "sequence_id": 17, "annotations": [{"pii_type": "LOCATION", "surrogate": "California", "start": 0, "end": 10}]}
{"role": "volunteer", "content": "Nope", "session_id": 627, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "Florida", "session_id": 627, "sequence_id": 19, "annotations": [{"pii_type": "LOCATION", "surrogate": "Florida", "start": 0, "end": 7}]}
{"role": "volunteer", "content": "No ahhahha", "session_id": 627, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "Illinois", "session_id": 627, "sequence_id": 21, "annotations": [{"pii_type": "LOCATION", "surrogate": "Illinois", "start": 0, "end": 8}]}
{"role": "volunteer", "content": "Think more Mexico", "session_id": 627, "sequence_id": 22, "annotations": [{"pii_type": "LOCATION", "surrogate": "Mexico", "start": 11, "end": 17}]}
{"role": "student", "content": "im from Canada", "session_id": 627, "sequence_id": 23, "annotations": [{"pii_type": "LOCATION", "surrogate": "Canada", "start": 8, "end": 14}]}
{"role": "volunteer", "content": "Really?", "session_id": 627, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "I'm right above you!", "session_id": 627, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "USA", "session_id": 627, "sequence_id": 26, "annotations": [{"pii_type": "LOCATION", "surrogate": "USA", "start": 0, "end": 3}]}
{"role": "volunteer", "content": "Exactly!", "session_id": 627, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "Hahahaha", "session_id": 627, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "hahhh", "session_id": 627, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "Alright, Sam I put the graph up.", "session_id": 627, "sequence_id": 30, "annotations": [{"pii_type": "PERSON", "surrogate": "Sam", "start": 9, "end": 12}]}
{"role": "student", "content": "lets lock in cause im cooked for the test", "session_id": 627, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "Let's actually do the same problem you provided: y=3x+3", "session_id": 627, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "Absolutely!!", "session_id": 627, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "ok", "session_id": 627, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "First, let's try subsituting x values", "session_id": 627, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "Actually, why don't you label the graph's x and y axis for me first?", "session_id": 627, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "thats easy", "session_id": 627, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "not the probllem", "session_id": 627, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "Very good!", "session_id": 627, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "Now, we can create a table for the input x value and output y value :)", "session_id": 627, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "kinda hard to write dont have touch screen", "session_id": 627, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "sure", "session_id": 627, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "Ohhh that's okay! You can just type it in chat and let me know what you think it is!", "session_id": 627, "sequence_id": 43, "annotations": []}
{"role": "student", "content": "ok", "session_id": 627, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "do 0,1,2,3,4, for x axis", "session_id": 627, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "nvm", "session_id": 627, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "Sorry! I should've asked you first what you wanted to subsitute :)", "session_id": 627, "sequence_id": 47, "annotations": []}
{"role": "student", "content": "its fine no worries", "session_id": 627, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "I just used negative values first so we got a broader range on the graph", "session_id": 627, "sequence_id": 49, "annotations": []}
{"role": "student", "content": "sure", "session_id": 627, "sequence_id": 50, "annotations": []}
{"role": "student", "content": "when x = negative 2 y=-3", "session_id": 627, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "when -1 y=0", "session_id": 627, "sequence_id": 52, "annotations": []}
{"role": "student", "content": "growing =minus 3", "session_id": 627, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "What do you mean by growing=minus 3?", "session_id": 627, "sequence_id": 54, "annotations": []}
{"role": "student", "content": "+3", "session_id": 627, "sequence_id": 55, "annotations": []}
{"role": "student", "content": "i mean", "session_id": 627, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "That's right!!!", "session_id": 627, "sequence_id": 57, "annotations": []}
{"role": "student", "content": "typo", "session_id": 627, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "So it should look like this in the table ->", "session_id": 627, "sequence_id": 59, "annotations": []}
{"role": "student", "content": "ya", "session_id": 627, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "Now, since we know the x and y coordinates, we can just subsitute these in!", "session_id": 627, "sequence_id": 61, "annotations": []}
{"role": "student", "content": "thats not what my problem is", "session_id": 627, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "Oh, what's your problem?", "session_id": 627, "sequence_id": 63, "annotations": []}
{"role": "student", "content": "actually nvm", "session_id": 627, "sequence_id": 64, "annotations": []}
{"role": "student", "content": "my bad", "session_id": 627, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "All good! I think my wording was off: I meant to plot them on the graph :)", "session_id": 627, "sequence_id": 66, "annotations": []}
{"role": "student", "content": "i know it though its easy just want to solidify", "session_id": 627, "sequence_id": 67, "annotations": []}
{"role": "student", "content": "no actually my problem is", "session_id": 627, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "I see that! You're very capable it's just exactly as you said; solidifying it.", "session_id": 627, "sequence_id": 69, "annotations": []}
{"role": "student", "content": "nvm im actually tweaking", "session_id": 627, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "Sam that's a-ok :)", "session_id": 627, "sequence_id": 71, "annotations": [{"pii_type": "PERSON", "surrogate": "Sam", "start": 0, "end": 3}]}
{"role": "student", "content": "can u please lable the y-axis", "session_id": 627, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "Absolutely", "session_id": 627, "sequence_id": 73, "annotations": []}
{"role": "student", "content": "ill graph the points", "session_id": 627, "sequence_id": 74, "annotations": []}
{"role": "student", "content": "what grade are u in", "session_id": 627, "sequence_id": 75, "annotations": []}
{"role": "student", "content": "college", "session_id": 627, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "I am!", "session_id": 627, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "Good guess", "session_id": 627, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "Very good!!", "session_id": 627, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "But, for the input -2 make sure the output is -3!", "session_id": 627, "sequence_id": 80, "annotations": []}
{"role": "volunteer", "content": "Right now, it's still 3 wheras -3 is below the x-axis line", "session_id": 627, "sequence_id": 81, "annotations": []}
{"role": "volunteer", "content": "Hi! What did you need help with?", "session_id": 665, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "k let me look", "session_id": 665, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "K, so I marked the image with the information we know. Using what was provided, do you know what other angles you can find?", "session_id": 665, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "Angle e", "session_id": 665, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "Hmm there are multiple angles centered at point E. Right now, I would say focus on the two angles at point D", "session_id": 665, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "But yes, you will be needing to know the angles at E after", "session_id": 665, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "DEC and FEG", "session_id": 665, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "I drew a little diagram which I think could be helpful", "session_id": 665, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "Could you try and find the measure of angle ADC?", "session_id": 665, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "37.5", "session_id": 665, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "Angle ADC is 75, but yes, angles ADG and GDC are both 37.5!", "session_id": 665, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "do you know why?", "session_id": 665, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "should I explain?", "session_id": 665, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "Alternate equals are equal", "session_id": 665, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "hello i need help with this question", "session_id": 649, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "yea sure", "session_id": 649, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "can you see the equation", "session_id": 649, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "hmmm.... yea I see it", "session_id": 649, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "ok what is the area of the unshaded", "session_id": 649, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "can you find that?", "session_id": 649, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "9", "session_id": 649, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "correct", "session_id": 649, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "ok how about the whole square including the unshaded region", "session_id": 649, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "2x+12", "session_id": 649, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "no, how do you find the area of a square?", "session_id": 649, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "you there?", "session_id": 649, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "yes", "session_id": 649, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "oh multiply that twice", "session_id": 649, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "yup,", "session_id": 649, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "what do you get?", "session_id": 649, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "2x+36", "session_id": 649, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "nope, do you know the foil method", "session_id": 649, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "noper", "session_id": 649, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "nope", "session_id": 649, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "ok foil stands for firsts, outers, inners, and lasts", "session_id": 649, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "okay", "session_id": 649, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "to start multiple the firsts", "session_id": 649, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "come the place I am writing on the board", "session_id": 649, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "what happens if you multiply that", "session_id": 649, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "your gonna get 2x", "session_id": 649, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "no, x^2", "session_id": 649, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "2x", "session_id": 649, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "oh ok", "session_id": 649, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "now multiply the inners", "session_id": 649, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "do you see me circling with my cursor", "session_id": 649, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "ummm lets see... yea", "session_id": 649, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "multiply them", "session_id": 649, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "6 times 6=36", "session_id": 649, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "6 times x?", "session_id": 649, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "6x", "session_id": 649, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "outers", "session_id": 649, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "what if you multiply the outers", "session_id": 649, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "36", "session_id": 649, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "oh wait", "session_id": 649, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "look at the pink", "session_id": 649, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "x^6", "session_id": 649, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "6x right", "session_id": 649, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "coo", "session_id": 649, "sequence_id": 43, "annotations": []}
{"role": "student", "content": "so whats the area of the shaded region", "session_id": 649, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "we are getting there first, I need you show you how to", "session_id": 649, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "okzy", "session_id": 649, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "okay", "session_id": 649, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "what happens if you multiply the blue", "session_id": 649, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "uhh", "session_id": 649, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "ok we have the complete area and the unshaded area. How do you get the shaded area", "session_id": 649, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "make sense", "session_id": 649, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "is square units cubic units or units", "session_id": 649, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "square", "session_id": 649, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "do you understand the concept?", "session_id": 649, "sequence_id": 54, "annotations": []}
{"role": "student", "content": "yes", "session_id": 649, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "explain it to me", "session_id": 649, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "you there?", "session_id": 649, "sequence_id": 57, "annotations": []}
{"role": "student", "content": "yeah im here im yeah", "session_id": 649, "sequence_id": 58, "annotations": []}
{"role": "student", "content": "i submitted it and 90 percent", "session_id": 649, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "oh ok cool. anything else?", "session_id": 649, "sequence_id": 60, "annotations": []}
{"role": "student", "content": "nope", "session_id": 649, "sequence_id": 61, "annotations": []}
{"role": "student", "content": "thank you kind sir'", "session_id": 649, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "no problem, good luck", "session_id": 649, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "hey Chloe", "session_id": 741, "sequence_id": 0, "annotations": [{"pii_type": "PERSON", "surrogate": "Chloe", "start": 4, "end": 9}]}
{"role": "student", "content": "im on a diff problem i need help", "session_id": 741, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "okay, you put the session as history but thats fine", "session_id": 741, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "kk", "session_id": 741, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "do u know how to solve it and nned conformation or need halp solving", "session_id": 741, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "idk how to solve it i never done a problem like this some of this stuff is new to me", "session_id": 741, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "okay, In a rational equation, the denominators cannot be equal to zero, as division by zero is undefined. To find the restrictions on x, set each denominator equal to zero and solve for x.", "session_id": 741, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "kk", "session_id": 741, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "so 9x-8=0", "session_id": 741, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "i mean 9x-0", "session_id": 741, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "=0", "session_id": 741, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "yup!", "session_id": 741, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "8-x=0", "session_id": 741, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 741, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "now what", "session_id": 741, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "so for 7x - 2", "session_id": 741, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "2/7?", "session_id": 741, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "yes!", "session_id": 741, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "oh sorry", "session_id": 741, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "...", "session_id": 741, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "8 - x= o is incorecy", "session_id": 741, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "k", "session_id": 741, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "so then what is it", "session_id": 741, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "8 -  x = 0", "session_id": 741, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "8 = x", "session_id": 741, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "x = 8", "session_id": 741, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "so jus 8?", "session_id": 741, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "8=0", "session_id": 741, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "0, 8, 2/7 would be ur answers!", "session_id": 741, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "i thought the 8 becomes -8", "session_id": 741, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "nope", "session_id": 741, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "so then why is 7x-2 pos", "session_id": 741, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "becuase it turns to 7x = 2", "session_id": 741, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "ok", "session_id": 741, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "get it?", "session_id": 741, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "ye", "session_id": 741, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "perfect", "session_id": 741, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "how manuy more u got", "session_id": 741, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "5 not counting this on", "session_id": 741, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "okay", "session_id": 741, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "okay", "session_id": 741, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "need help or ocnfirmation", "session_id": 741, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "i need help", "session_id": 741, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "or is all of tghis stuuf new", "session_id": 741, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "okay", "session_id": 741, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "new", "session_id": 741, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "alr", "session_id": 741, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "is that aleks?", "session_id": 741, "sequence_id": 47, "annotations": []}
{"role": "student", "content": "yes", "session_id": 741, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "oh yess i have that too", "session_id": 741, "sequence_id": 49, "annotations": []}
{"role": "student", "content": "yeah its sometimes difficult lol", "session_id": 741, "sequence_id": 50, "annotations": []}
{"role": "student", "content": "so with this one", "session_id": 741, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "yesss", "session_id": 741, "sequence_id": 52, "annotations": []}
{"role": "student", "content": "can i find the lcd or no?", "session_id": 741, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "hmm", "session_id": 741, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "you would start with isolating", "session_id": 741, "sequence_id": 55, "annotations": []}
{"role": "student", "content": "ok can u show on the whiteboard", "session_id": 741, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 741, "sequence_id": 57, "annotations": []}
{"role": "student", "content": "ok", "session_id": 741, "sequence_id": 58, "annotations": []}
{"role": "student", "content": "wait i will be right back for a sec, u can still write it out and stuff ill see if it makes sense when i come back", "session_id": 741, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "okay", "session_id": 741, "sequence_id": 60, "annotations": []}
{"role": "student", "content": "back", "session_id": 741, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "alright!", "session_id": 741, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "lmk if you got questions", "session_id": 741, "sequence_id": 63, "annotations": []}
{"role": "student", "content": "ok u kinda write it in like a difficult way", "session_id": 741, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "oh so sorry this is js how i learnt it", "session_id": 741, "sequence_id": 65, "annotations": []}
{"role": "student", "content": "we combine it?", "session_id": 741, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "mhm", "session_id": 741, "sequence_id": 67, "annotations": []}
{"role": "student", "content": "the 9 and 7?", "session_id": 741, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "well yes, but first u isolate", "session_id": 741, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "then u cpombine", "session_id": 741, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "after combinig", "session_id": 741, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "yoy solve for k", "session_id": 741, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "then u fiond your answer", "session_id": 741, "sequence_id": 73, "annotations": []}
{"role": "student", "content": "that should become", "session_id": 741, "sequence_id": 74, "annotations": []}
{"role": "student", "content": "2k-12", "session_id": 741, "sequence_id": 75, "annotations": []}
{"role": "student", "content": "bc ur distributing", "session_id": 741, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "yes if you were to distribute", "session_id": 741, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "but", "session_id": 741, "sequence_id": 78, "annotations": []}
{"role": "student", "content": "so then why is it written like that", "session_id": 741, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "u have to clear the denominator", "session_id": 741, "sequence_id": 80, "annotations": []}
{"role": "volunteer", "content": "thats why", "session_id": 741, "sequence_id": 81, "annotations": []}
{"role": "student", "content": "so then what happens to the 2 infront of it", "session_id": 741, "sequence_id": 82, "annotations": []}
{"role": "volunteer", "content": "u multiply bopth side by (k - 6))", "session_id": 741, "sequence_id": 83, "annotations": []}
{"role": "volunteer", "content": "yes thats whty its a bit confusing", "session_id": 741, "sequence_id": 84, "annotations": []}
{"role": "student", "content": "out of respect im going to request a new coach no worries", "session_id": 741, "sequence_id": 85, "annotations": []}
{"role": "volunteer", "content": "u divide both sides by to", "session_id": 741, "sequence_id": 86, "annotations": []}
{"role": "volunteer", "content": "oh okay thats fine, hope tyhis helped", "session_id": 741, "sequence_id": 87, "annotations": []}
{"role": "volunteer", "content": "hello", "session_id": 660, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "Hi! I need help with turning absolute value into piecewise functions, I don't understand why the greater than/less than sign faces the way it does", "session_id": 660, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "Can I write a question on the board and can you go through it step by step to help me understand it", "session_id": 660, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "okay", "session_id": 660, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "sure", "session_id": 660, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "Alright, I wrote it down", "session_id": 660, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "okay", "session_id": 660, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "so absolute values change behavior where the inside equals 0, and these are our break points", "session_id": 660, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "x\u22127=0\u21d2x=7\nx+4=0\u21d2x=\u22124", "session_id": 660, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "wait can you write the work on the board instead of the chat to make it easier to understand", "session_id": 660, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "sure", "session_id": 660, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "Thank you!", "session_id": 660, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "how do we know that its both less than signs?", "session_id": 660, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "where? mark on the whiteboard with a different color", "session_id": 660, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "because the interval is from -4 to 7", "session_id": 660, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "so does this mean that in all cases it will turn out to be less than signs", "session_id": 660, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "[-4,7] is written as -4\u2264x\u22647", "session_id": 660, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "no", "session_id": 660, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "for the last interval we have x>7", "session_id": 660, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "wait im confused, how do we know that these are less than or greater than signs", "session_id": 660, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "okay, so this is just math notation and how that is used to interpret the intervals", "session_id": 660, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "so we split the number line", "session_id": 660, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "suppose we split the number line into 2, one for numbers less than 3, and numbers bigger than 3", "session_id": 660, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "so it is written x<3, and x>3 respectively", "session_id": 660, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "wait, is it if x was in between those two numbers it would be greater than -4 and less than 7?", "session_id": 660, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 660, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "but wait please keep going because I don't understand the other notation", "session_id": 660, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "okay now lets say we take all the numbers between 2 and 5, not including 2 and 5, that in math notation written as 2<x<5, that means x is all the numbers in between 2 and 5", "session_id": 660, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "when we used \u2264, for example 2\u2264x\u22645, that means x is all the numbers in between 2 and 5 including 2 and 5", "session_id": 660, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "Ohh!! Okay, I think I really needed a lesson on math notation, not piecewise functions!! I think I get it now thank you so much for your time and help.", "session_id": 660, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "that's all?", "session_id": 660, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "Yes! I had already completed the question I just had no idea how to do the signs", "session_id": 660, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "oh okay", "session_id": 660, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "do you get the idea now?", "session_id": 660, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "Yes thank you! Have a nice day", "session_id": 660, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "you too", "session_id": 660, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "Hey! How can I help you?", "session_id": 764, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "need help with math homework", "session_id": 764, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "okay, show me the questions", "session_id": 764, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "Simplify the given expression. 3x^2-14x-5/x^2-25", "session_id": 764, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "put it on the board", "session_id": 764, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "are you able to do it?", "session_id": 764, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "sorry got disconnected", "session_id": 764, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "okay", "session_id": 764, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "okay, so what do you think we should do first?", "session_id": 764, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "are you there?", "session_id": 764, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "yes on here", "session_id": 764, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "We can tee hart the second one.", "session_id": 764, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "T chart.", "session_id": 764, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "please type, do not talk", "session_id": 764, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "We can teach chart the second problem.", "session_id": 764, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "we can t-chart the second problem", "session_id": 764, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "first simplify the denominator", "session_id": 764, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "how do you do that?", "session_id": 764, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "don't know what to do", "session_id": 764, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "what can x^2-25 be simplified to?", "session_id": 764, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "-5 x -5", "session_id": 764, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "do a t-chart", "session_id": 764, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "okay", "session_id": 764, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "do it on the board and show me", "session_id": 764, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "can you see what I wrote?", "session_id": 764, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "yes", "session_id": 764, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "ok did I do the t-chart right", "session_id": 764, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "do you understand what I wrote?", "session_id": 764, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "do it using my method", "session_id": 764, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "What's 3 times 5.", "session_id": 764, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "15", "session_id": 764, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "Hello How are you?", "session_id": 697, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "Hello", "session_id": 697, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "Im good", "session_id": 697, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "Hello", "session_id": 697, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "How can I help?", "session_id": 697, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "Could we use voice chat?", "session_id": 697, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "yes pls wait", "session_id": 697, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "Can you hear me", "session_id": 697, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "Yeah, I can hear you", "session_id": 697, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "OK, is the volume OK?", "session_id": 697, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "Yeah.", "session_id": 697, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 697, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "I haven't done geometry in a long time, but", "session_id": 697, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "when I saw that it was Alex, I figured I would try it.", "session_id": 697, "sequence_id": 13, "annotations": [{"pii_type": "PERSON", "surrogate": "Alex", "start": 23, "end": 27}]}
{"role": "student", "content": "Mhm", "session_id": 697, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "I have an exam tomorrow, so.", "session_id": 697, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "Yeah, yeah", "session_id": 697, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "I thought tomorrow was a holiday, but OK.", "session_id": 697, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "Oh", "session_id": 697, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "So what, what can I help you with?", "session_id": 697, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "Um, I need help with, hold on, let me upload it.", "session_id": 697, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "I see", "session_id": 697, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "a student", "session_id": 697, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "What, what kind of, it's all right.", "session_id": 697, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "Well, not right now, no, I, I later.", "session_id": 697, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "Sorry, I had to talk to my wife", "session_id": 697, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "Uh, I'm gonna make this picture a little bigger.", "session_id": 697, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "All right", "session_id": 697, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "and then I will make a copy of it.", "session_id": 697, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "if I can remember how.", "session_id": 697, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "I can't find", "session_id": 697, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "OK, I have a copy. I'll take a look at it here.", "session_id": 697, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "maybe", "session_id": 697, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "Let me try this again", "session_id": 697, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "All right, so now I can magnify it.", "session_id": 697, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "Oops, OK", "session_id": 697, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "All right. The figures, two figures are congruent.", "session_id": 697, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "if", "session_id": 697, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "they can be made coincide", "session_id": 697, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "with justtua", "session_id": 697, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "OK, so where should we start?", "session_id": 697, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "Oh", "session_id": 697, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "we could start with", "session_id": 697, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "congruent triangles.", "session_id": 697, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 697, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "Let me see what that is", "session_id": 697, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 697, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "I'm trying", "session_id": 697, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "if that would be fine", "session_id": 697, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "Um.", "session_id": 697, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "Oh right", "session_id": 697, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "let me read this again. I", "session_id": 697, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "I'm not sure I agree with this.", "session_id": 697, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "OK, well, I, I see what they're saying. OK, so", "session_id": 697, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "I, I read the part and read. Now, what questions do you have?", "session_id": 697, "sequence_id": 54, "annotations": []}
{"role": "student", "content": "Um, I need help in like understanding the concept.", "session_id": 697, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 697, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "Um", "session_id": 697, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "here's what I think now", "session_id": 697, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "A mathematician might not agree with me, but I think they would", "session_id": 697, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "The the the real ideas that", "session_id": 697, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "if, if we have these two triangles here, A, B, C, and well, I guess they call them, yeah, ABC and", "session_id": 697, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "DEF", "session_id": 697, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "and, and you notice that the order ABC", "session_id": 697, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "if we go from, you see my cursor?", "session_id": 697, "sequence_id": 64, "annotations": []}
{"role": "student", "content": "Um, no, I can't really", "session_id": 697, "sequence_id": 65, "annotations": []}
{"role": "student", "content": "see.", "session_id": 697, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "00 yeah, yeah, right, I see where I'm pointing on the wrong screen. Let me try that again. Maybe I can do that this way.", "session_id": 697, "sequence_id": 67, "annotations": []}
{"role": "student", "content": "Yeah.", "session_id": 697, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "OK, see my cursor now. OK, so ABC", "session_id": 697, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "and then they call the other one DEF and you see the order is important because", "session_id": 697, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "they, they're following sort of the same pattern.", "session_id": 697, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "OK.", "session_id": 697, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "Now", "session_id": 697, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "the general ideas of", "session_id": 697, "sequence_id": 74, "annotations": []}
{"role": "volunteer", "content": "I, I, I'm not sure they've drawn these exactly the scale, but if two triangles are congruent, you could take one and put it right on top of the other, and they would be identical. We wouldn't notice any difference.", "session_id": 697, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "So that means that for congruence, the the corresponding angles have to be equal and also the sides.", "session_id": 697, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "See, it says corresponding sides", "session_id": 697, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "so", "session_id": 697, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "there's another property called similarity. I don't know if you've studied that. Two triangles can be similar if they have the same angles, but they're not the same size, like if you magnify one of them", "session_id": 697, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "but to be congruent, they have to", "session_id": 697, "sequence_id": 80, "annotations": []}
{"role": "volunteer", "content": "all the the the angles have to be the same and the lengths of the sides.", "session_id": 697, "sequence_id": 81, "annotations": []}
{"role": "student", "content": "Oh", "session_id": 697, "sequence_id": 82, "annotations": []}
{"role": "volunteer", "content": "It says, and then they, they write it, the symbol.", "session_id": 697, "sequence_id": 83, "annotations": []}
{"role": "volunteer", "content": "My eyes aren't so good, but I think they have like an equal sign with a squiggle on top of it.", "session_id": 697, "sequence_id": 84, "annotations": []}
{"role": "volunteer", "content": "He's doing let me put my curse, uh, yeah, it's kind of tiny, but I think right around in here where my cursor is", "session_id": 697, "sequence_id": 85, "annotations": []}
{"role": "volunteer", "content": "there's a symbol, like that's not, I think, I think it's just a little bit blurred but", "session_id": 697, "sequence_id": 86, "annotations": []}
{"role": "volunteer", "content": "if you look at that, that's not an equal sign, that's sort of a", "session_id": 697, "sequence_id": 87, "annotations": []}
{"role": "volunteer", "content": "equals what the upper part is sort of curved. Do you see that?", "session_id": 697, "sequence_id": 88, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 697, "sequence_id": 89, "annotations": []}
{"role": "volunteer", "content": "So, so that means that's what they use for congruent. I think most people do use that symbol, OK?", "session_id": 697, "sequence_id": 90, "annotations": []}
{"role": "student", "content": "Oh", "session_id": 697, "sequence_id": 91, "annotations": []}
{"role": "student", "content": "Wait, could we solve the activity number one.", "session_id": 697, "sequence_id": 92, "annotations": []}
{"role": "volunteer", "content": "Yeah, let me find it first. Let me see where it is.", "session_id": 697, "sequence_id": 93, "annotations": []}
{"role": "volunteer", "content": "there", "session_id": 697, "sequence_id": 94, "annotations": []}
{"role": "volunteer", "content": "Uh", "session_id": 697, "sequence_id": 95, "annotations": []}
{"role": "volunteer", "content": "I think, is it above or below or?", "session_id": 697, "sequence_id": 96, "annotations": []}
{"role": "volunteer", "content": "That's above that's OK.", "session_id": 697, "sequence_id": 97, "annotations": []}
{"role": "volunteer", "content": "Refer to the", "session_id": 697, "sequence_id": 98, "annotations": []}
{"role": "volunteer", "content": "day.", "session_id": 697, "sequence_id": 99, "annotations": []}
{"role": "volunteer", "content": "time.", "session_id": 697, "sequence_id": 100, "annotations": []}
{"role": "volunteer", "content": "OK, so I'm looking at uh activity one, but now.", "session_id": 697, "sequence_id": 101, "annotations": []}
{"role": "volunteer", "content": "what are they asking you to do here? It says,", "session_id": 697, "sequence_id": 102, "annotations": []}
{"role": "volunteer", "content": "two figures that that the figures are congruent, OK?", "session_id": 697, "sequence_id": 103, "annotations": []}
{"role": "volunteer", "content": "The corners of the first one have been a signed letters.", "session_id": 697, "sequence_id": 104, "annotations": []}
{"role": "volunteer", "content": "according to the numbers.", "session_id": 697, "sequence_id": 105, "annotations": []}
{"role": "volunteer", "content": "Oh, OK", "session_id": 697, "sequence_id": 106, "annotations": []}
{"role": "volunteer", "content": "So", "session_id": 697, "sequence_id": 107, "annotations": []}
{"role": "volunteer", "content": "the idea is to imagine", "session_id": 697, "sequence_id": 108, "annotations": []}
{"role": "volunteer", "content": "the way I would do it. I mean, you can, you could do it from either left to right or right to left, but I would consider, you see the one with the numbers on it?", "session_id": 697, "sequence_id": 109, "annotations": []}
{"role": "volunteer", "content": "How, how could you set that up so that it, it's exactly on top of the one with the letters and then what letters match what numbers.", "session_id": 697, "sequence_id": 110, "annotations": []}
{"role": "student", "content": "Um", "session_id": 697, "sequence_id": 111, "annotations": []}
{"role": "student", "content": "wait", "session_id": 697, "sequence_id": 112, "annotations": []}
{"role": "student", "content": "D and", "session_id": 697, "sequence_id": 113, "annotations": []}
{"role": "student", "content": "um", "session_id": 697, "sequence_id": 114, "annotations": []}
{"role": "student", "content": "3", "session_id": 697, "sequence_id": 115, "annotations": []}
{"role": "volunteer", "content": "Yes, that's right, and", "session_id": 697, "sequence_id": 116, "annotations": []}
{"role": "volunteer", "content": "then what's next", "session_id": 697, "sequence_id": 117, "annotations": []}
{"role": "student", "content": "A and 4", "session_id": 697, "sequence_id": 118, "annotations": []}
{"role": "student", "content": "BN 1", "session_id": 697, "sequence_id": 119, "annotations": []}
{"role": "volunteer", "content": "OK, wait, let me think. He is going to, OK, and 4, OK, go ahead.", "session_id": 697, "sequence_id": 120, "annotations": []}
{"role": "student", "content": "BN1 CN2.", "session_id": 697, "sequence_id": 121, "annotations": []}
{"role": "volunteer", "content": "2. Yes, yes, that's right. Is there another way to think about, I would think about it is I think", "session_id": 697, "sequence_id": 122, "annotations": []}
{"role": "volunteer", "content": "if you look at this, the longer side, let me try my cursor here. The longest side of this one is length 18", "session_id": 697, "sequence_id": 123, "annotations": []}
{"role": "volunteer", "content": "See my curse name", "session_id": 697, "sequence_id": 124, "annotations": []}
{"role": "volunteer", "content": "I", "session_id": 697, "sequence_id": 125, "annotations": []}
{"role": "volunteer", "content": "the side of the other one is 32.", "session_id": 697, "sequence_id": 126, "annotations": []}
{"role": "student", "content": "Mm", "session_id": 697, "sequence_id": 127, "annotations": []}
{"role": "volunteer", "content": "So that means that either D goes with 3 or D goes with 2, but because of the", "session_id": 697, "sequence_id": 128, "annotations": []}
{"role": "volunteer", "content": "because of the shape, it turns out the goes with 3, but I would, that's how I would look at it, but what you did was fine, so", "session_id": 697, "sequence_id": 129, "annotations": []}
{"role": "volunteer", "content": "I, I, to me", "session_id": 697, "sequence_id": 130, "annotations": []}
{"role": "volunteer", "content": "I mean they don't exactly say this, but", "session_id": 697, "sequence_id": 131, "annotations": []}
{"role": "volunteer", "content": "the idea is that if you can take one figure and put it exactly on top of the other, and they match in they're congruent.", "session_id": 697, "sequence_id": 132, "annotations": []}
{"role": "student", "content": "Wait, what about like", "session_id": 697, "sequence_id": 133, "annotations": []}
{"role": "student", "content": "actually", "session_id": 697, "sequence_id": 134, "annotations": []}
{"role": "student", "content": "never mind", "session_id": 697, "sequence_id": 135, "annotations": []}
{"role": "student", "content": "Um", "session_id": 697, "sequence_id": 136, "annotations": []}
{"role": "student", "content": "should we just like so", "session_id": 697, "sequence_id": 137, "annotations": []}
{"role": "student", "content": "questions and then if I don't understand it,", "session_id": 697, "sequence_id": 138, "annotations": []}
{"role": "volunteer", "content": "Yeah, yeah, that's fine. Um, let me just see where are the questions here?", "session_id": 697, "sequence_id": 139, "annotations": []}
{"role": "student", "content": "the example.", "session_id": 697, "sequence_id": 140, "annotations": []}
{"role": "student", "content": "and", "session_id": 697, "sequence_id": 141, "annotations": []}
{"role": "student", "content": "Yeah.", "session_id": 697, "sequence_id": 142, "annotations": []}
{"role": "volunteer", "content": "Oh, do you have to upload something? Oh, I see, I see, I see they're separate here, OK. Yes, so, so what I'm gonna do is", "session_id": 697, "sequence_id": 143, "annotations": []}
{"role": "volunteer", "content": "I'm gonna copy that. What I do is I copy these to another screen so I can make them bigger and actually read them, so I will copy", "session_id": 697, "sequence_id": 144, "annotations": []}
{"role": "volunteer", "content": "the first group of", "session_id": 697, "sequence_id": 145, "annotations": []}
{"role": "volunteer", "content": "questions here", "session_id": 697, "sequence_id": 146, "annotations": []}
{"role": "volunteer", "content": "and so we'll do that", "session_id": 697, "sequence_id": 147, "annotations": []}
{"role": "volunteer", "content": "and we'll do this", "session_id": 697, "sequence_id": 148, "annotations": []}
{"role": "volunteer", "content": "and I'm gonna make it bigger", "session_id": 697, "sequence_id": 149, "annotations": []}
{"role": "volunteer", "content": "OK, so the one I have", "session_id": 697, "sequence_id": 150, "annotations": []}
{"role": "volunteer", "content": "right, it's, it's, I'm gonna make it even bigger. It's uh, I'm not sure it's in focus, but I will do my best here. Let's see.", "session_id": 697, "sequence_id": 151, "annotations": []}
{"role": "volunteer", "content": "OK, now, it starts with hens, oh, I guess the hens.", "session_id": 697, "sequence_id": 152, "annotations": []}
{"role": "volunteer", "content": "I guess that's a continuation from right above.", "session_id": 697, "sequence_id": 153, "annotations": []}
{"role": "volunteer", "content": "Uh, you see what I mean? Hence means they're like therefore, so.", "session_id": 697, "sequence_id": 154, "annotations": []}
{"role": "volunteer", "content": "it must um", "session_id": 697, "sequence_id": 155, "annotations": []}
{"role": "volunteer", "content": "be relating to the previous one. Let me just see here.", "session_id": 697, "sequence_id": 156, "annotations": []}
{"role": "volunteer", "content": "Yeah, you see, if you read", "session_id": 697, "sequence_id": 157, "annotations": []}
{"role": "volunteer", "content": "on the previous page, the page above it.", "session_id": 697, "sequence_id": 158, "annotations": []}
{"role": "volunteer", "content": "let me magnify that.", "session_id": 697, "sequence_id": 159, "annotations": []}
{"role": "volunteer", "content": "OK, so at the bottom of the previous page, it says", "session_id": 697, "sequence_id": 160, "annotations": []}
{"role": "volunteer", "content": "we write to indicate that they are congruent", "session_id": 697, "sequence_id": 161, "annotations": []}
{"role": "volunteer", "content": "OK, and I think that now if we go to the next page, I think that that hint", "session_id": 697, "sequence_id": 162, "annotations": []}
{"role": "volunteer", "content": "means this sort of continuation.", "session_id": 697, "sequence_id": 163, "annotations": []}
{"role": "volunteer", "content": "you know.", "session_id": 697, "sequence_id": 164, "annotations": []}
{"role": "student", "content": "Wait, so should we solve the example?", "session_id": 697, "sequence_id": 165, "annotations": []}
{"role": "volunteer", "content": "Yeah, yeah, yeah, just a minute, just let me read this so I'm sure I understand this. There's a correspondence.", "session_id": 697, "sequence_id": 166, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 697, "sequence_id": 167, "annotations": []}
{"role": "volunteer", "content": "All right, well, do you understand what they're talking about above like angle A equals angle D and angle B for, for the exam for the example.", "session_id": 697, "sequence_id": 168, "annotations": []}
{"role": "student", "content": "Yeah.", "session_id": 697, "sequence_id": 169, "annotations": []}
{"role": "volunteer", "content": "OK, OK, so", "session_id": 697, "sequence_id": 170, "annotations": []}
{"role": "volunteer", "content": "right, we'll look at the example", "session_id": 697, "sequence_id": 171, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 697, "sequence_id": 172, "annotations": []}
{"role": "volunteer", "content": "Um, I'm gonna magnify it a little", "session_id": 697, "sequence_id": 173, "annotations": []}
{"role": "volunteer", "content": "more here", "session_id": 697, "sequence_id": 174, "annotations": []}
{"role": "volunteer", "content": "The problem is when I magnify it, it, it's a little blurry, OK.", "session_id": 697, "sequence_id": 175, "annotations": []}
{"role": "volunteer", "content": "So when", "session_id": 697, "sequence_id": 176, "annotations": []}
{"role": "student", "content": "headaches", "session_id": 697, "sequence_id": 177, "annotations": []}
{"role": "volunteer", "content": "I", "session_id": 697, "sequence_id": 178, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 697, "sequence_id": 179, "annotations": []}
{"role": "student", "content": "like myself", "session_id": 697, "sequence_id": 180, "annotations": []}
{"role": "student", "content": "to see if I know", "session_id": 697, "sequence_id": 181, "annotations": []}
{"role": "volunteer", "content": "I'm uh", "session_id": 697, "sequence_id": 182, "annotations": []}
{"role": "volunteer", "content": "I'm sorry, go ahead. What did you say?", "session_id": 697, "sequence_id": 183, "annotations": []}
{"role": "student", "content": "explain the example in my like own words to see if I like.", "session_id": 697, "sequence_id": 184, "annotations": []}
{"role": "volunteer", "content": "Yeah, yeah, that'd be a good idea, yes.", "session_id": 697, "sequence_id": 185, "annotations": []}
{"role": "student", "content": "OK, so first, um, triangle F.", "session_id": 697, "sequence_id": 186, "annotations": []}
{"role": "student", "content": "uh, triangle D, yeah.", "session_id": 697, "sequence_id": 187, "annotations": []}
{"role": "volunteer", "content": "right", "session_id": 697, "sequence_id": 188, "annotations": []}
{"role": "student", "content": "which can go to triangle, uh,", "session_id": 697, "sequence_id": 189, "annotations": []}
{"role": "student", "content": "EEF", "session_id": 697, "sequence_id": 190, "annotations": []}
{"role": "student", "content": "QRS", "session_id": 697, "sequence_id": 191, "annotations": []}
{"role": "volunteer", "content": "OK, wait a minute, wait a minute,", "session_id": 697, "sequence_id": 192, "annotations": []}
{"role": "volunteer", "content": "let me.", "session_id": 697, "sequence_id": 193, "annotations": []}
{"role": "volunteer", "content": "the", "session_id": 697, "sequence_id": 194, "annotations": []}
{"role": "volunteer", "content": "OK, wait, I'm trying to find the example. I'm having a problem here.", "session_id": 697, "sequence_id": 195, "annotations": []}
{"role": "volunteer", "content": "But what, what was it, what are the triangles called in this example?", "session_id": 697, "sequence_id": 196, "annotations": []}
{"role": "student", "content": "um triangle DF and QRS", "session_id": 697, "sequence_id": 197, "annotations": []}
{"role": "student", "content": "QRS", "session_id": 697, "sequence_id": 198, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 697, "sequence_id": 199, "annotations": []}
{"role": "volunteer", "content": "Well, I'm trying to find what page is this on here. Maybe I'm on a different.", "session_id": 697, "sequence_id": 200, "annotations": []}
{"role": "student", "content": "I load it here", "session_id": 697, "sequence_id": 201, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 697, "sequence_id": 202, "annotations": []}
{"role": "volunteer", "content": "Oops, oh, wait, wait.", "session_id": 697, "sequence_id": 203, "annotations": []}
{"role": "volunteer", "content": "wait, did I miss a", "session_id": 697, "sequence_id": 204, "annotations": []}
{"role": "volunteer", "content": "OK, so", "session_id": 697, "sequence_id": 205, "annotations": []}
{"role": "volunteer", "content": "oh, I see. OK, OK, I, OK, I thought that was a question that's an example. I see what you're doing. OK, go ahead.", "session_id": 697, "sequence_id": 206, "annotations": []}
{"role": "volunteer", "content": "OK, so", "session_id": 697, "sequence_id": 207, "annotations": []}
{"role": "volunteer", "content": "you're saying", "session_id": 697, "sequence_id": 208, "annotations": []}
{"role": "volunteer", "content": "that", "session_id": 697, "sequence_id": 209, "annotations": []}
{"role": "volunteer", "content": "DEF", "session_id": 697, "sequence_id": 210, "annotations": []}
{"role": "volunteer", "content": "is", "session_id": 697, "sequence_id": 211, "annotations": []}
{"role": "volunteer", "content": "congruent to", "session_id": 697, "sequence_id": 212, "annotations": []}
{"role": "volunteer", "content": "you, and then how are you gonna name the other one now?", "session_id": 697, "sequence_id": 213, "annotations": []}
{"role": "student", "content": "QR", "session_id": 697, "sequence_id": 214, "annotations": []}
{"role": "volunteer", "content": "Yeah, but you see, I think", "session_id": 697, "sequence_id": 215, "annotations": []}
{"role": "volunteer", "content": "first of all, are, are all the angles equal that the", "session_id": 697, "sequence_id": 216, "annotations": []}
{"role": "student", "content": "Yeah.", "session_id": 697, "sequence_id": 217, "annotations": []}
{"role": "volunteer", "content": "they are OK, but", "session_id": 697, "sequence_id": 218, "annotations": []}
{"role": "volunteer", "content": "you see DEF when you go from D to F, you go from what what angle, 72 to 59.", "session_id": 697, "sequence_id": 219, "annotations": []}
{"role": "student", "content": "Oh", "session_id": 697, "sequence_id": 220, "annotations": []}
{"role": "volunteer", "content": "I", "session_id": 697, "sequence_id": 221, "annotations": []}
{"role": "student", "content": "72", "session_id": 697, "sequence_id": 222, "annotations": []}
{"role": "volunteer", "content": "you see my, did you see my cursor?", "session_id": 697, "sequence_id": 223, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 697, "sequence_id": 224, "annotations": []}
{"role": "volunteer", "content": "So I'm going from D", "session_id": 697, "sequence_id": 225, "annotations": []}
{"role": "student", "content": "E", "session_id": 697, "sequence_id": 226, "annotations": []}
{"role": "volunteer", "content": "oh wait a minute, let's let let's start with D to E, OK. I, yeah, I think you had it, so, OK, so tell me again what you were gonna say. I, I think I, I think I see what you're doing now. Tell me again.", "session_id": 697, "sequence_id": 227, "annotations": []}
{"role": "student", "content": "and QRS.", "session_id": 697, "sequence_id": 228, "annotations": []}
{"role": "volunteer", "content": "OK.", "session_id": 697, "sequence_id": 229, "annotations": []}
{"role": "volunteer", "content": "But I, I lost the sound there. What's the name of the first triangle?", "session_id": 697, "sequence_id": 230, "annotations": []}
{"role": "student", "content": "DEF", "session_id": 697, "sequence_id": 231, "annotations": []}
{"role": "volunteer", "content": "DEF. OK, so that's the same as", "session_id": 697, "sequence_id": 232, "annotations": []}
{"role": "volunteer", "content": "going from Q to R to S.", "session_id": 697, "sequence_id": 233, "annotations": []}
{"role": "volunteer", "content": "Yes, OK, that's good", "session_id": 697, "sequence_id": 234, "annotations": []}
{"role": "student", "content": "and then", "session_id": 697, "sequence_id": 235, "annotations": []}
{"role": "volunteer", "content": "So they're congruent now", "session_id": 697, "sequence_id": 236, "annotations": []}
{"role": "student", "content": "mhm", "session_id": 697, "sequence_id": 237, "annotations": []}
{"role": "volunteer", "content": "Now what does it say, triangle ABC.", "session_id": 697, "sequence_id": 238, "annotations": []}
{"role": "volunteer", "content": "is congruent to which triangle?", "session_id": 697, "sequence_id": 239, "annotations": []}
{"role": "student", "content": "um MPN.", "session_id": 697, "sequence_id": 240, "annotations": []}
{"role": "volunteer", "content": "Yeah, OK. Yeah, that is a little out of focus, but yes, OK.", "session_id": 697, "sequence_id": 241, "annotations": []}
{"role": "volunteer", "content": "Also", "session_id": 697, "sequence_id": 242, "annotations": []}
{"role": "volunteer", "content": "1 may write", "session_id": 697, "sequence_id": 243, "annotations": []}
{"role": "volunteer", "content": "Now this is a little", "session_id": 697, "sequence_id": 244, "annotations": []}
{"role": "volunteer", "content": "oh I see, um, you, I think for this part, but you see there two, 268 degree angles.", "session_id": 697, "sequence_id": 245, "annotations": []}
{"role": "volunteer", "content": "and", "session_id": 697, "sequence_id": 246, "annotations": []}
{"role": "volunteer", "content": "in, in the, in, in the second pair", "session_id": 697, "sequence_id": 247, "annotations": []}
{"role": "volunteer", "content": "you see the second pair has another way to look at it is the second pair has two sides that are length 8.", "session_id": 697, "sequence_id": 248, "annotations": []}
{"role": "student", "content": "What do you mean", "session_id": 697, "sequence_id": 249, "annotations": []}
{"role": "volunteer", "content": "Oh, OK, let, let's go back.", "session_id": 697, "sequence_id": 250, "annotations": []}
{"role": "volunteer", "content": "at, at the bottom there, you said that ABC was congruent to what?", "session_id": 697, "sequence_id": 251, "annotations": []}
{"role": "student", "content": "MPN", "session_id": 697, "sequence_id": 252, "annotations": []}
{"role": "volunteer", "content": "MPN OK, but.", "session_id": 697, "sequence_id": 253, "annotations": []}
{"role": "student", "content": "Yeah.", "session_id": 697, "sequence_id": 254, "annotations": []}
{"role": "volunteer", "content": "I think you could have also said PMN because", "session_id": 697, "sequence_id": 255, "annotations": []}
{"role": "student", "content": "Yeah, cause of the", "session_id": 697, "sequence_id": 256, "annotations": []}
{"role": "volunteer", "content": "because that", "session_id": 697, "sequence_id": 257, "annotations": []}
{"role": "volunteer", "content": "I'm sorry, go ahead", "session_id": 697, "sequence_id": 258, "annotations": []}
{"role": "student", "content": "because of the 68.", "session_id": 697, "sequence_id": 259, "annotations": []}
{"role": "student", "content": "so you can still say that.", "session_id": 697, "sequence_id": 260, "annotations": []}
{"role": "volunteer", "content": "Right, and also it's a", "session_id": 697, "sequence_id": 261, "annotations": []}
{"role": "volunteer", "content": "it's not an equilateral what do they call it.", "session_id": 697, "sequence_id": 262, "annotations": []}
{"role": "volunteer", "content": "I sawilli's triangle, you see, so.", "session_id": 697, "sequence_id": 263, "annotations": []}
{"role": "student", "content": "Yeah.", "session_id": 697, "sequence_id": 264, "annotations": []}
{"role": "volunteer", "content": "they're two different ways of writing it, OK. All right, so you've got that. OK, so now I'll scroll a bit, I'll move down a little bit.", "session_id": 697, "sequence_id": 265, "annotations": []}
{"role": "volunteer", "content": "OK, now", "session_id": 697, "sequence_id": 266, "annotations": []}
{"role": "volunteer", "content": "well", "session_id": 697, "sequence_id": 267, "annotations": []}
{"role": "volunteer", "content": "Yeah, this is a little out of focus here.", "session_id": 697, "sequence_id": 268, "annotations": []}
{"role": "volunteer", "content": "Um, maybe you can", "session_id": 697, "sequence_id": 269, "annotations": []}
{"role": "volunteer", "content": "I'm gonna try to read this. It's, tell me if I'm reading this right. There is only one way", "session_id": 697, "sequence_id": 270, "annotations": []}
{"role": "volunteer", "content": "the vertices of DEF", "session_id": 697, "sequence_id": 271, "annotations": []}
{"role": "volunteer", "content": "and QSR correspond, OK?", "session_id": 697, "sequence_id": 272, "annotations": []}
{"role": "volunteer", "content": "But oh yeah, it's just this is just reviewing what we already said, but there are two ways the vertices of ABC and MPN correspond, OK?", "session_id": 697, "sequence_id": 273, "annotations": []}
{"role": "volunteer", "content": "So basically that's the, there's the solution to the example.", "session_id": 697, "sequence_id": 274, "annotations": []}
{"role": "student", "content": "Wait, can, can we solve Activity 3 cause I feel like that's hard.", "session_id": 697, "sequence_id": 275, "annotations": []}
{"role": "student", "content": "I know.", "session_id": 697, "sequence_id": 276, "annotations": []}
{"role": "volunteer", "content": "Yeah, yeah, there you go", "session_id": 697, "sequence_id": 277, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 697, "sequence_id": 278, "annotations": []}
{"role": "student", "content": "they're kind of easy", "session_id": 697, "sequence_id": 279, "annotations": []}
{"role": "volunteer", "content": "yeah, you just have to bear with me because I have to get the page that that's on.", "session_id": 697, "sequence_id": 280, "annotations": []}
{"role": "student", "content": "Yeah.", "session_id": 697, "sequence_id": 281, "annotations": []}
{"role": "volunteer", "content": "Let me see where", "session_id": 697, "sequence_id": 282, "annotations": []}
{"role": "volunteer", "content": "where is that", "session_id": 697, "sequence_id": 283, "annotations": []}
{"role": "volunteer", "content": "We're on on the screen, OK, wait a minute, is that that", "session_id": 697, "sequence_id": 284, "annotations": []}
{"role": "volunteer", "content": "you see these are so small, OK. Activity 3. All right, let me copy activity 3 to my other screen and then we'll work on that.", "session_id": 697, "sequence_id": 285, "annotations": []}
{"role": "volunteer", "content": "You see, we have this problem. First of all, my eyes aren't that good, but secondly, these pictures are not always exactly in focus and when I magnify them, sometimes it's hard to read the, but, but we'll get by, we'll do take care of this one.", "session_id": 697, "sequence_id": 286, "annotations": []}
{"role": "volunteer", "content": "anyway.", "session_id": 697, "sequence_id": 287, "annotations": []}
{"role": "volunteer", "content": "this OK", "session_id": 697, "sequence_id": 288, "annotations": []}
{"role": "volunteer", "content": "All right, so I've got, I think I've got activity 3 here. I'm gonna magnify it.", "session_id": 697, "sequence_id": 289, "annotations": []}
{"role": "volunteer", "content": "Let's try this", "session_id": 697, "sequence_id": 290, "annotations": []}
{"role": "volunteer", "content": "220", "session_id": 697, "sequence_id": 291, "annotations": []}
{"role": "volunteer", "content": "OK, so activity 3.", "session_id": 697, "sequence_id": 292, "annotations": []}
{"role": "volunteer", "content": "OK, so it says complete the oh yeah, this is a proof, right?", "session_id": 697, "sequence_id": 293, "annotations": []}
{"role": "volunteer", "content": "Yeah, Alex likes proofs, OK.", "session_id": 697, "sequence_id": 294, "annotations": [{"pii_type": "PERSON", "surrogate": "Alex", "start": 6, "end": 10}]}
{"role": "volunteer", "content": "OK, so let me just read this quickly. ABC ABC.", "session_id": 697, "sequence_id": 295, "annotations": []}
{"role": "volunteer", "content": "prove anyone is a right angle", "session_id": 697, "sequence_id": 296, "annotations": []}
{"role": "volunteer", "content": "and a", "session_id": 697, "sequence_id": 297, "annotations": []}
{"role": "volunteer", "content": "certain is a size.", "session_id": 697, "sequence_id": 298, "annotations": []}
{"role": "volunteer", "content": "OK, so they, they give you the statements.", "session_id": 697, "sequence_id": 299, "annotations": []}
{"role": "volunteer", "content": "and", "session_id": 697, "sequence_id": 300, "annotations": []}
{"role": "volunteer", "content": "uh", "session_id": 697, "sequence_id": 301, "annotations": []}
{"role": "volunteer", "content": "OK, so what's the reason for for number A?", "session_id": 697, "sequence_id": 302, "annotations": []}
{"role": "volunteer", "content": "do you think, for first statement A.", "session_id": 697, "sequence_id": 303, "annotations": []}
{"role": "student", "content": "Mm", "session_id": 697, "sequence_id": 304, "annotations": []}
{"role": "student", "content": "wait", "session_id": 697, "sequence_id": 305, "annotations": []}
{"role": "student", "content": "ABC is congruent to ABC, that's given, so.", "session_id": 697, "sequence_id": 306, "annotations": []}
{"role": "volunteer", "content": "Yeah, so are you right for A is just given, OK?", "session_id": 697, "sequence_id": 307, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 697, "sequence_id": 308, "annotations": []}
{"role": "volunteer", "content": "Now", "session_id": 697, "sequence_id": 309, "annotations": []}
{"role": "student", "content": "and", "session_id": 697, "sequence_id": 310, "annotations": []}
{"role": "student", "content": "me", "session_id": 697, "sequence_id": 311, "annotations": []}
{"role": "volunteer", "content": "go ahead for the", "session_id": 697, "sequence_id": 312, "annotations": []}
{"role": "student", "content": "is that corresponding parts of congruent triangles are congruent.", "session_id": 697, "sequence_id": 313, "annotations": []}
{"role": "volunteer", "content": "Yeah, that's what I would say, yes, yes.", "session_id": 697, "sequence_id": 314, "annotations": []}
{"role": "student", "content": "So I'll just write CPOCTC.", "session_id": 697, "sequence_id": 315, "annotations": []}
{"role": "volunteer", "content": "OK. I, I have, I mean, I haven't done this in a long time, but OK, but", "session_id": 697, "sequence_id": 316, "annotations": []}
{"role": "volunteer", "content": "now what about say?", "session_id": 697, "sequence_id": 317, "annotations": []}
{"role": "student", "content": "1 and 2 form a linear pair. Isn't that definition of a linear pair?", "session_id": 697, "sequence_id": 318, "annotations": []}
{"role": "volunteer", "content": "Well", "session_id": 697, "sequence_id": 319, "annotations": []}
{"role": "volunteer", "content": "you see, I'm not so sure. I, I guess I", "session_id": 697, "sequence_id": 320, "annotations": []}
{"role": "volunteer", "content": "uh let me think about this.", "session_id": 697, "sequence_id": 321, "annotations": []}
{"role": "volunteer", "content": "Well, that would be all right with me. Um", "session_id": 697, "sequence_id": 322, "annotations": []}
{"role": "volunteer", "content": "I, I, I don't know if you have to say that like", "session_id": 697, "sequence_id": 323, "annotations": []}
{"role": "volunteer", "content": "each one is 90 degrees and they add up to 180 degrees, but I would say definition of a linear pair is OK.", "session_id": 697, "sequence_id": 324, "annotations": []}
{"role": "student", "content": "And then uh DZ.", "session_id": 697, "sequence_id": 325, "annotations": []}
{"role": "student", "content": "If angles in a linear pair are congruent, then they are right.", "session_id": 697, "sequence_id": 326, "annotations": []}
{"role": "volunteer", "content": "Yes, yes, that's good, yes.", "session_id": 697, "sequence_id": 327, "annotations": []}
{"role": "volunteer", "content": "Oh, and also", "session_id": 697, "sequence_id": 328, "annotations": []}
{"role": "volunteer", "content": "yes, that's fine. And, and also you might mention that in step B, we showed that or we", "session_id": 697, "sequence_id": 329, "annotations": []}
{"role": "volunteer", "content": "we proved there's some uh you know, stated that they're they are congruent, OK.", "session_id": 697, "sequence_id": 330, "annotations": []}
{"role": "student", "content": "And then E is", "session_id": 697, "sequence_id": 331, "annotations": []}
{"role": "student", "content": "CPOCTC again.", "session_id": 697, "sequence_id": 332, "annotations": []}
{"role": "volunteer", "content": "What is the cars? What, what does that mean?", "session_id": 697, "sequence_id": 333, "annotations": []}
{"role": "student", "content": "corresponding parts of congruent triangles.", "session_id": 697, "sequence_id": 334, "annotations": []}
{"role": "volunteer", "content": "Yeah, a congruent, yes, OK, yes.", "session_id": 697, "sequence_id": 335, "annotations": []}
{"role": "student", "content": "and then", "session_id": 697, "sequence_id": 336, "annotations": []}
{"role": "student", "content": "ABD is isosceles that, uh, definition of isosceles triangle.", "session_id": 697, "sequence_id": 337, "annotations": []}
{"role": "volunteer", "content": "Yes, yes, good, good, very good.", "session_id": 697, "sequence_id": 338, "annotations": []}
{"role": "student", "content": "And then it says given ABC is congruent to DF. DF is congruent to carry aum, Navy seas isosceles with vertex, it proves that KLM is isosceles.", "session_id": 697, "sequence_id": 339, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 697, "sequence_id": 340, "annotations": []}
{"role": "volunteer", "content": "Um", "session_id": 697, "sequence_id": 341, "annotations": []}
{"role": "volunteer", "content": "the", "session_id": 697, "sequence_id": 342, "annotations": []}
{"role": "volunteer", "content": "there's some property, maybe you can tell me the name of it.", "session_id": 697, "sequence_id": 343, "annotations": []}
{"role": "student", "content": "What?", "session_id": 697, "sequence_id": 344, "annotations": []}
{"role": "volunteer", "content": "Uh, I, I, I don't, it would, well, there's some property that says like", "session_id": 697, "sequence_id": 345, "annotations": []}
{"role": "volunteer", "content": "well, in algebra we would say", "session_id": 697, "sequence_id": 346, "annotations": []}
{"role": "volunteer", "content": "if A equals B,", "session_id": 697, "sequence_id": 347, "annotations": []}
{"role": "volunteer", "content": "and B equals C, then A equals C, but I, I don't know what they call that in geometry, but that's what we're using here. Do you see what I mean?", "session_id": 697, "sequence_id": 348, "annotations": []}
{"role": "volunteer", "content": "Um", "session_id": 697, "sequence_id": 349, "annotations": []}
{"role": "volunteer", "content": "there's a name for that, but I haven't done this in a while. I, I could try to find the name in a book if you want.", "session_id": 697, "sequence_id": 350, "annotations": []}
{"role": "student", "content": "I think I know this way.", "session_id": 697, "sequence_id": 351, "annotations": []}
{"role": "student", "content": "OK", "session_id": 697, "sequence_id": 352, "annotations": []}
{"role": "student", "content": "Alright", "session_id": 697, "sequence_id": 353, "annotations": []}
{"role": "volunteer", "content": "OK. I, I'll tell you what, while you think about it, I'm gonna look in a book and see if I can, I'm not even sure where to look though.", "session_id": 697, "sequence_id": 354, "annotations": []}
{"role": "volunteer", "content": "Go ahead.", "session_id": 697, "sequence_id": 355, "annotations": []}
{"role": "student", "content": "So I just wrote the proof first, ABC's Code to DF and, DEF is converted to KLM, that's given, and then I did ABCs congruent to KLM by the transitive property.", "session_id": 697, "sequence_id": 356, "annotations": []}
{"role": "volunteer", "content": "Yes, yes, that's a good name for a transitive, yes, that's what I was looking up. I'm just gonna look that up again to be sure. I know transitive property, yes, that's good.", "session_id": 697, "sequence_id": 357, "annotations": []}
{"role": "volunteer", "content": "and also", "session_id": 697, "sequence_id": 358, "annotations": []}
{"role": "volunteer", "content": "my book shows that transitive property works for equals like A equals b, but it also works for congruence, OK?", "session_id": 697, "sequence_id": 359, "annotations": []}
{"role": "volunteer", "content": "OK, so that's good", "session_id": 697, "sequence_id": 360, "annotations": []}
{"role": "volunteer", "content": "So now we're down to number 3 here.", "session_id": 697, "sequence_id": 361, "annotations": []}
{"role": "volunteer", "content": "Oh, I see. Now we have to do the proof with everything, right?", "session_id": 697, "sequence_id": 362, "annotations": []}
{"role": "volunteer", "content": "All right.", "session_id": 697, "sequence_id": 363, "annotations": []}
{"role": "volunteer", "content": "So we know that", "session_id": 697, "sequence_id": 364, "annotations": []}
{"role": "volunteer", "content": "UMN", "session_id": 697, "sequence_id": 365, "annotations": []}
{"role": "volunteer", "content": "is congruent", "session_id": 697, "sequence_id": 366, "annotations": []}
{"role": "volunteer", "content": "to", "session_id": 697, "sequence_id": 367, "annotations": []}
{"role": "volunteer", "content": "P", "session_id": 697, "sequence_id": 368, "annotations": []}
{"role": "volunteer", "content": "wait a minute, MN", "session_id": 697, "sequence_id": 369, "annotations": []}
{"role": "volunteer", "content": "and", "session_id": 697, "sequence_id": 370, "annotations": []}
{"role": "volunteer", "content": "is trying to go", "session_id": 697, "sequence_id": 371, "annotations": []}
{"role": "volunteer", "content": "to PM. OK", "session_id": 697, "sequence_id": 372, "annotations": []}
{"role": "volunteer", "content": "All right. So what are you gonna do for, for 3.", "session_id": 697, "sequence_id": 373, "annotations": []}
{"role": "student", "content": "But", "session_id": 697, "sequence_id": 374, "annotations": []}
{"role": "student", "content": "QMN is convert to PMN, that's given", "session_id": 697, "sequence_id": 375, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 697, "sequence_id": 376, "annotations": []}
{"role": "student", "content": "key lemon, uh, is angle QMN is converted to angle PMN.", "session_id": 697, "sequence_id": 377, "annotations": []}
{"role": "student", "content": "So that's given", "session_id": 697, "sequence_id": 378, "annotations": []}
{"role": "volunteer", "content": "Well, it's slow down, slow down, I", "session_id": 697, "sequence_id": 379, "annotations": []}
{"role": "volunteer", "content": "Yes, OK, OK.", "session_id": 697, "sequence_id": 380, "annotations": []}
{"role": "student", "content": "and then and MN bisects QMP and MN bisects QNP. That's the definition of angle by sector.", "session_id": 697, "sequence_id": 381, "annotations": []}
{"role": "volunteer", "content": "Wow, you're way ahead of me. Wait a minute, wait a minute.", "session_id": 697, "sequence_id": 382, "annotations": []}
{"role": "volunteer", "content": "um", "session_id": 697, "sequence_id": 383, "annotations": []}
{"role": "volunteer", "content": "OK.", "session_id": 697, "sequence_id": 384, "annotations": []}
{"role": "volunteer", "content": "I, I think you're right, but, uh, so, so run that by me again. You have", "session_id": 697, "sequence_id": 385, "annotations": []}
{"role": "volunteer", "content": "angle Q and and equals angle.", "session_id": 697, "sequence_id": 386, "annotations": []}
{"role": "volunteer", "content": "PMN", "session_id": 697, "sequence_id": 387, "annotations": []}
{"role": "volunteer", "content": "by congruence, is that right?", "session_id": 697, "sequence_id": 388, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 697, "sequence_id": 389, "annotations": []}
{"role": "volunteer", "content": "OK, and then by therefore", "session_id": 697, "sequence_id": 390, "annotations": []}
{"role": "volunteer", "content": "MN bisects", "session_id": 697, "sequence_id": 391, "annotations": []}
{"role": "volunteer", "content": "um", "session_id": 697, "sequence_id": 392, "annotations": []}
{"role": "volunteer", "content": "to", "session_id": 697, "sequence_id": 393, "annotations": []}
{"role": "volunteer", "content": "wait a minute, actually everything I did, I said was, oh, I see. OK, so that takes care of QMP and then", "session_id": 697, "sequence_id": 394, "annotations": []}
{"role": "volunteer", "content": "I guess you do the same thing at the bottom to get", "session_id": 697, "sequence_id": 395, "annotations": []}
{"role": "volunteer", "content": "the bisector for QNP. Is that right?", "session_id": 697, "sequence_id": 396, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 697, "sequence_id": 397, "annotations": []}
{"role": "volunteer", "content": "You see, there, there are two things to prove, yeah.", "session_id": 697, "sequence_id": 398, "annotations": []}
{"role": "volunteer", "content": "OK, yeah, you seem to have it under control better than I do.", "session_id": 697, "sequence_id": 399, "annotations": []}
{"role": "student", "content": "OK", "session_id": 697, "sequence_id": 400, "annotations": []}
{"role": "student", "content": "Let me just", "session_id": 697, "sequence_id": 401, "annotations": []}
{"role": "volunteer", "content": "In fact, I was talking to a friend of mine recently who's an architect and", "session_id": 697, "sequence_id": 402, "annotations": []}
{"role": "volunteer", "content": "he said that", "session_id": 697, "sequence_id": 403, "annotations": []}
{"role": "volunteer", "content": "the he was in school", "session_id": 697, "sequence_id": 404, "annotations": []}
{"role": "volunteer", "content": "his method of proof was he would just write down it looks like that, and but the teacher didn't like that.", "session_id": 697, "sequence_id": 405, "annotations": []}
{"role": "student", "content": "I'll upload some more questions.", "session_id": 697, "sequence_id": 406, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 697, "sequence_id": 407, "annotations": []}
{"role": "student", "content": "from this book", "session_id": 697, "sequence_id": 408, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 697, "sequence_id": 409, "annotations": []}
{"role": "student", "content": "OK", "session_id": 697, "sequence_id": 410, "annotations": []}
{"role": "volunteer", "content": "It says student's image could not be uploaded. That's what it says.", "session_id": 697, "sequence_id": 411, "annotations": []}
{"role": "student", "content": "Oh", "session_id": 697, "sequence_id": 412, "annotations": []}
{"role": "volunteer", "content": "I, I, it doesn't say why, but maybe you need to um", "session_id": 697, "sequence_id": 413, "annotations": []}
{"role": "student", "content": "oh,", "session_id": 697, "sequence_id": 414, "annotations": []}
{"role": "volunteer", "content": "delete some of these, maybe they, oh wait, I see it now. I see something that's sort of hand up now it disappeared.", "session_id": 697, "sequence_id": 415, "annotations": []}
{"role": "student", "content": "OK", "session_id": 697, "sequence_id": 416, "annotations": []}
{"role": "student", "content": "Sure", "session_id": 697, "sequence_id": 417, "annotations": []}
{"role": "volunteer", "content": "I see it now. I, whoops, now it disappeared.", "session_id": 697, "sequence_id": 418, "annotations": []}
{"role": "student", "content": "which", "session_id": 697, "sequence_id": 419, "annotations": []}
{"role": "volunteer", "content": "I, I, that's very, I see it, OK. I'm going to um make it bigger.", "session_id": 697, "sequence_id": 420, "annotations": []}
{"role": "volunteer", "content": "Is this what we're looking at? It says congruent triangles.", "session_id": 697, "sequence_id": 421, "annotations": []}
{"role": "volunteer", "content": "and it, it's sort of", "session_id": 697, "sequence_id": 422, "annotations": []}
{"role": "volunteer", "content": "a little grayer than the other ones.", "session_id": 697, "sequence_id": 423, "annotations": []}
{"role": "student", "content": "Yeah.", "session_id": 697, "sequence_id": 424, "annotations": []}
{"role": "volunteer", "content": "OK, I will copy that to my other screen.", "session_id": 697, "sequence_id": 425, "annotations": []}
{"role": "volunteer", "content": "Actually let me close this thing here first.", "session_id": 697, "sequence_id": 426, "annotations": []}
{"role": "volunteer", "content": "OK, now I'll copy this", "session_id": 697, "sequence_id": 427, "annotations": []}
{"role": "volunteer", "content": "And maybe before we do that, you could just", "session_id": 697, "sequence_id": 428, "annotations": []}
{"role": "volunteer", "content": "tell me again, I, I know I asked you about this, but I'm, I don't know if it", "session_id": 697, "sequence_id": 429, "annotations": []}
{"role": "volunteer", "content": "I looked up something about this, the, the, the program you're in, it's like some", "session_id": 697, "sequence_id": 430, "annotations": []}
{"role": "volunteer", "content": "um charter school that that", "session_id": 697, "sequence_id": 431, "annotations": []}
{"role": "volunteer", "content": "is sort of international, I mean, what's the name of it? Does it begin with a W or something like that?", "session_id": 697, "sequence_id": 432, "annotations": []}
{"role": "student", "content": "Oh, there's like a lot of different branches.", "session_id": 697, "sequence_id": 433, "annotations": []}
{"role": "volunteer", "content": "Uh-huh, yeah, but what's, what, what's like the general name of it?", "session_id": 697, "sequence_id": 434, "annotations": []}
{"role": "volunteer", "content": "you know, what does it have a, like a name for that. I, I read about it on the internet.", "session_id": 697, "sequence_id": 435, "annotations": []}
{"role": "student", "content": "like the name of the school or what?", "session_id": 697, "sequence_id": 436, "annotations": []}
{"role": "volunteer", "content": "Yeah, I, I mean, not your particular school, but", "session_id": 697, "sequence_id": 437, "annotations": []}
{"role": "volunteer", "content": "like they have all these schools all over the world, what's the, what's it called, do you know?", "session_id": 697, "sequence_id": 438, "annotations": []}
{"role": "student", "content": "Well, the app, well, the app was like", "session_id": 697, "sequence_id": 439, "annotations": []}
{"role": "student", "content": "the like platforms and apps. It says Sabbath.", "session_id": 697, "sequence_id": 440, "annotations": []}
{"role": "volunteer", "content": "it's, yeah, OK, I didn't get that, but OK. I'm trying to", "session_id": 697, "sequence_id": 441, "annotations": []}
{"role": "volunteer", "content": "I don't know what happened here. I can't. I'm trying to um", "session_id": 697, "sequence_id": 442, "annotations": []}
{"role": "volunteer", "content": "find my latest thing here.", "session_id": 697, "sequence_id": 443, "annotations": []}
{"role": "volunteer", "content": "OK, I've got it now. All right, so", "session_id": 697, "sequence_id": 444, "annotations": []}
{"role": "volunteer", "content": "I'm, I'm gonna magnify this and look at it.", "session_id": 697, "sequence_id": 445, "annotations": []}
{"role": "volunteer", "content": "We'll see if I can read it", "session_id": 697, "sequence_id": 446, "annotations": []}
{"role": "volunteer", "content": "Oh, OK. All right. So this is another proof, so it says, given", "session_id": 697, "sequence_id": 447, "annotations": []}
{"role": "volunteer", "content": "that", "session_id": 697, "sequence_id": 448, "annotations": []}
{"role": "volunteer", "content": "these triangles are congru and complete each of the following.", "session_id": 697, "sequence_id": 449, "annotations": []}
{"role": "volunteer", "content": "so as to make a true statement.", "session_id": 697, "sequence_id": 450, "annotations": []}
{"role": "volunteer", "content": "give a reason, a reason must not be the reflexive property.", "session_id": 697, "sequence_id": 451, "annotations": []}
{"role": "volunteer", "content": "OK, let me just", "session_id": 697, "sequence_id": 452, "annotations": []}
{"role": "volunteer", "content": "there's no, no, wait a minute, does that say reflexive yet? Let me look up reflexive to be sure I understand what that means.", "session_id": 697, "sequence_id": 453, "annotations": []}
{"role": "volunteer", "content": "Reflexive", "session_id": 697, "sequence_id": 454, "annotations": []}
{"role": "volunteer", "content": "The value is equal to itself. OK, so you're not allowed to use that", "session_id": 697, "sequence_id": 455, "annotations": []}
{"role": "volunteer", "content": "OK.", "session_id": 697, "sequence_id": 456, "annotations": []}
{"role": "volunteer", "content": "So the first line says", "session_id": 697, "sequence_id": 457, "annotations": []}
{"role": "volunteer", "content": "what does it say? AB is?", "session_id": 697, "sequence_id": 458, "annotations": []}
{"role": "student", "content": "Um, A, B, and then like the reason I think it's AB is congruent to MN and that the reason is res corresponding parts of congruent triangles are congruent.", "session_id": 697, "sequence_id": 459, "annotations": []}
{"role": "volunteer", "content": "Yes, yes, OK. So let, let me just check this, so the symbol after AB there is congruent symboli. It's, it's sort of out of focus. I'll try to magnify.", "session_id": 697, "sequence_id": 460, "annotations": []}
{"role": "volunteer", "content": "Oops, maybe a little too much, but hang on.", "session_id": 697, "sequence_id": 461, "annotations": []}
{"role": "volunteer", "content": "OK, so that's all right. OK. So how about the", "session_id": 697, "sequence_id": 462, "annotations": []}
{"role": "volunteer", "content": "how about um", "session_id": 697, "sequence_id": 463, "annotations": []}
{"role": "volunteer", "content": "OK, so now, how about angle A? What are we gonna say about that?", "session_id": 697, "sequence_id": 464, "annotations": []}
{"role": "volunteer", "content": "In in number B", "session_id": 697, "sequence_id": 465, "annotations": []}
{"role": "student", "content": "A would be angle M", "session_id": 697, "sequence_id": 466, "annotations": []}
{"role": "volunteer", "content": "M yeah, M as in Mary.", "session_id": 697, "sequence_id": 467, "annotations": []}
{"role": "student", "content": "yeah.", "session_id": 697, "sequence_id": 468, "annotations": []}
{"role": "volunteer", "content": "OK. And what's the reason for that?", "session_id": 697, "sequence_id": 469, "annotations": []}
{"role": "volunteer", "content": "Yeah yeah", "session_id": 697, "sequence_id": 470, "annotations": []}
{"role": "student", "content": "and CPOCTC, same thing, all of the.", "session_id": 697, "sequence_id": 471, "annotations": []}
{"role": "volunteer", "content": "Yes, OK, and I will see, it's the same thing, but what angle does C or is it congruent to?", "session_id": 697, "sequence_id": 472, "annotations": []}
{"role": "student", "content": "P.", "session_id": 697, "sequence_id": 473, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 697, "sequence_id": 474, "annotations": []}
{"role": "volunteer", "content": "All right, so", "session_id": 697, "sequence_id": 475, "annotations": []}
{"role": "volunteer", "content": "OK, now", "session_id": 697, "sequence_id": 476, "annotations": []}
{"role": "volunteer", "content": "what about D", "session_id": 697, "sequence_id": 477, "annotations": []}
{"role": "student", "content": "D would be.", "session_id": 697, "sequence_id": 478, "annotations": []}
{"role": "student", "content": "NMP", "session_id": 697, "sequence_id": 479, "annotations": []}
{"role": "volunteer", "content": "Wait a minute say that again.", "session_id": 697, "sequence_id": 480, "annotations": []}
{"role": "student", "content": "Triangle MNP.", "session_id": 697, "sequence_id": 481, "annotations": []}
{"role": "volunteer", "content": "Well, I don't think it's MNP because you see,", "session_id": 697, "sequence_id": 482, "annotations": []}
{"role": "student", "content": "MMP", "session_id": 697, "sequence_id": 483, "annotations": []}
{"role": "volunteer", "content": "and, yes, N as in Nancy, right? And what's the reason for that?", "session_id": 697, "sequence_id": 484, "annotations": []}
{"role": "student", "content": "CPOC.", "session_id": 697, "sequence_id": 485, "annotations": []}
{"role": "volunteer", "content": "No, I don't", "session_id": 697, "sequence_id": 486, "annotations": []}
{"role": "volunteer", "content": "OK, but I, uh", "session_id": 697, "sequence_id": 487, "annotations": []}
{"role": "volunteer", "content": "I, I'm not so sure that's, have you had things like side angle side and theorems like that.", "session_id": 697, "sequence_id": 488, "annotations": []}
{"role": "volunteer", "content": "Maybe you haven't, there's, there's, there's theorems called like SAS, SSS.", "session_id": 697, "sequence_id": 489, "annotations": []}
{"role": "volunteer", "content": "I forget the other ones, but", "session_id": 697, "sequence_id": 490, "annotations": []}
{"role": "volunteer", "content": "you see what we have here is we have", "session_id": 697, "sequence_id": 491, "annotations": []}
{"role": "volunteer", "content": "two angles", "session_id": 697, "sequence_id": 492, "annotations": []}
{"role": "volunteer", "content": "and one side", "session_id": 697, "sequence_id": 493, "annotations": []}
{"role": "volunteer", "content": "OK, I", "session_id": 697, "sequence_id": 494, "annotations": []}
{"role": "volunteer", "content": "let me think about this", "session_id": 697, "sequence_id": 495, "annotations": []}
{"role": "volunteer", "content": "I, I, here's what I'm saying, in the, in the first three steps, you showed that one side is congruent in two angles.", "session_id": 697, "sequence_id": 496, "annotations": []}
{"role": "volunteer", "content": "Is that enough", "session_id": 697, "sequence_id": 497, "annotations": []}
{"role": "volunteer", "content": "to show that the DAC is um", "session_id": 697, "sequence_id": 498, "annotations": []}
{"role": "volunteer", "content": "congruent to uh", "session_id": 697, "sequence_id": 499, "annotations": []}
{"role": "volunteer", "content": "NMP. That's the question.", "session_id": 697, "sequence_id": 500, "annotations": []}
{"role": "student", "content": "Um", "session_id": 697, "sequence_id": 501, "annotations": []}
{"role": "volunteer", "content": "I mean, it probably is, but", "session_id": 697, "sequence_id": 502, "annotations": []}
{"role": "volunteer", "content": "um, I'm not sure about your reason. That's what I'm", "session_id": 697, "sequence_id": 503, "annotations": []}
{"role": "volunteer", "content": "let me think here. We've got angle A and angle C.", "session_id": 697, "sequence_id": 504, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 697, "sequence_id": 505, "annotations": []}
{"role": "volunteer", "content": "Well, I'm, I'm what I'm trying to ask is have you had any theorems yet like called side angle side or angle side angle or anything like that?", "session_id": 697, "sequence_id": 506, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 697, "sequence_id": 507, "annotations": []}
{"role": "student", "content": "yeah, we've had that, but it's not included.", "session_id": 697, "sequence_id": 508, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 697, "sequence_id": 509, "annotations": []}
{"role": "volunteer", "content": "um", "session_id": 697, "sequence_id": 510, "annotations": []}
{"role": "volunteer", "content": "OK, let me think about the reasoning here", "session_id": 697, "sequence_id": 511, "annotations": []}
{"role": "volunteer", "content": "I", "session_id": 697, "sequence_id": 512, "annotations": []}
{"role": "volunteer", "content": "see", "session_id": 697, "sequence_id": 513, "annotations": []}
{"role": "volunteer", "content": "I'm a little one of uh", "session_id": 697, "sequence_id": 514, "annotations": []}
{"role": "volunteer", "content": "OK, so", "session_id": 697, "sequence_id": 515, "annotations": []}
{"role": "volunteer", "content": "do we have, OK, so you think corresponding", "session_id": 697, "sequence_id": 516, "annotations": []}
{"role": "volunteer", "content": "parts of congruent triangles", "session_id": 697, "sequence_id": 517, "annotations": []}
{"role": "volunteer", "content": "I don't", "session_id": 697, "sequence_id": 518, "annotations": []}
{"role": "student", "content": "but it says all of them are supposed to be like that.", "session_id": 697, "sequence_id": 519, "annotations": []}
{"role": "volunteer", "content": "wait a minute, all of one", "session_id": 697, "sequence_id": 520, "annotations": []}
{"role": "student", "content": "All of them are corresponding parts of congruent triangles.", "session_id": 697, "sequence_id": 521, "annotations": []}
{"role": "volunteer", "content": "Oh, OK, and where does it say that? Does it have a solution?", "session_id": 697, "sequence_id": 522, "annotations": []}
{"role": "volunteer", "content": "Let me look", "session_id": 697, "sequence_id": 523, "annotations": []}
{"role": "student", "content": "Hello", "session_id": 697, "sequence_id": 524, "annotations": []}
{"role": "volunteer", "content": "Yeah, hello", "session_id": 697, "sequence_id": 525, "annotations": []}
{"role": "student", "content": "Can you hear me", "session_id": 697, "sequence_id": 526, "annotations": []}
{"role": "volunteer", "content": "Yeah, I hear you. Can you hear me?", "session_id": 697, "sequence_id": 527, "annotations": []}
{"role": "student", "content": "Wait", "session_id": 697, "sequence_id": 528, "annotations": []}
{"role": "volunteer", "content": "OK. OK.", "session_id": 697, "sequence_id": 529, "annotations": []}
{"role": "volunteer", "content": "So where does it say that that's what you're supposed to use? Is there a solution here that I'm missing or", "session_id": 697, "sequence_id": 530, "annotations": []}
{"role": "student", "content": "I don't know, but on the like", "session_id": 697, "sequence_id": 531, "annotations": []}
{"role": "student", "content": "answer key, it says it's CPOCTC, like all of them.", "session_id": 697, "sequence_id": 532, "annotations": []}
{"role": "volunteer", "content": "Oh, all right. Oh, so you have any, OK, it says that for all of them.", "session_id": 697, "sequence_id": 533, "annotations": []}
{"role": "student", "content": "Yeah.", "session_id": 697, "sequence_id": 534, "annotations": []}
{"role": "volunteer", "content": "even D? OK. All right, it's all right with me if it says that. I didn't know yet, OK, I uh", "session_id": 697, "sequence_id": 535, "annotations": []}
{"role": "volunteer", "content": "I, I would have used different theorem, but OK, all right, so shall we move on to number 2?", "session_id": 697, "sequence_id": 536, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 697, "sequence_id": 537, "annotations": []}
{"role": "student", "content": "Yeah, so ABC is", "session_id": 697, "sequence_id": 538, "annotations": []}
{"role": "student", "content": "an isosceles triangle.", "session_id": 697, "sequence_id": 539, "annotations": []}
{"role": "volunteer", "content": "Wait a minute,", "session_id": 697, "sequence_id": 540, "annotations": []}
{"role": "volunteer", "content": "wait a minute.", "session_id": 697, "sequence_id": 541, "annotations": []}
{"role": "volunteer", "content": "wait a minute, which one are we on now? #2?", "session_id": 697, "sequence_id": 542, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 697, "sequence_id": 543, "annotations": []}
{"role": "volunteer", "content": "OK, and how, how do we know it's isosceles?", "session_id": 697, "sequence_id": 544, "annotations": []}
{"role": "student", "content": "Um", "session_id": 697, "sequence_id": 545, "annotations": []}
{"role": "volunteer", "content": "Oh, I see. That's ask you to, OK, maybe, maybe you're right, like.", "session_id": 697, "sequence_id": 546, "annotations": []}
{"role": "volunteer", "content": "let me think here. Yes, yes, I think it is, but um", "session_id": 697, "sequence_id": 547, "annotations": []}
{"role": "volunteer", "content": "this is similar to one of the previous ones. What do we know about", "session_id": 697, "sequence_id": 548, "annotations": []}
{"role": "volunteer", "content": "angles's um", "session_id": 697, "sequence_id": 549, "annotations": []}
{"role": "volunteer", "content": "1 and 2", "session_id": 697, "sequence_id": 550, "annotations": []}
{"role": "volunteer", "content": "Oh, actually, I guess it doesn't matter because if", "session_id": 697, "sequence_id": 551, "annotations": []}
{"role": "volunteer", "content": "if", "session_id": 697, "sequence_id": 552, "annotations": []}
{"role": "volunteer", "content": "you", "session_id": 697, "sequence_id": 553, "annotations": []}
{"role": "volunteer", "content": "OK, and", "session_id": 697, "sequence_id": 554, "annotations": []}
{"role": "volunteer", "content": "if uh if AB", "session_id": 697, "sequence_id": 555, "annotations": []}
{"role": "volunteer", "content": "equals AC, then it's isosceles. OK, yes, that's good. You're right.", "session_id": 697, "sequence_id": 556, "annotations": []}
{"role": "volunteer", "content": "But that, OK, right, so what's your explanation for I just gave you. What's your explanation for why it's Ios.", "session_id": 697, "sequence_id": 557, "annotations": []}
{"role": "student", "content": "because like AB is converting to AC.", "session_id": 697, "sequence_id": 558, "annotations": []}
{"role": "volunteer", "content": "Yes, OK. All right", "session_id": 697, "sequence_id": 559, "annotations": []}
{"role": "student", "content": "Wait, we could just do it. These questions won't really come back, right?", "session_id": 697, "sequence_id": 560, "annotations": []}
{"role": "volunteer", "content": "OK, I didn't understand what you meant.", "session_id": 697, "sequence_id": 561, "annotations": []}
{"role": "volunteer", "content": "What about B", "session_id": 697, "sequence_id": 562, "annotations": []}
{"role": "student", "content": "OK, let me just", "session_id": 697, "sequence_id": 563, "annotations": []}
{"role": "student", "content": "um B would be", "session_id": 697, "sequence_id": 564, "annotations": []}
{"role": "student", "content": "wait.", "session_id": 697, "sequence_id": 565, "annotations": []}
{"role": "student", "content": "is AM the bisector of angle A. Um.", "session_id": 697, "sequence_id": 566, "annotations": []}
{"role": "student", "content": "yes", "session_id": 697, "sequence_id": 567, "annotations": []}
{"role": "volunteer", "content": "obey", "session_id": 697, "sequence_id": 568, "annotations": []}
{"role": "volunteer", "content": "and why", "session_id": 697, "sequence_id": 569, "annotations": []}
{"role": "student", "content": "because", "session_id": 697, "sequence_id": 570, "annotations": []}
{"role": "student", "content": "um", "session_id": 697, "sequence_id": 571, "annotations": []}
{"role": "student", "content": "angle like A is.", "session_id": 697, "sequence_id": 572, "annotations": []}
{"role": "student", "content": "Isn't it cause of like CPOCTC and", "session_id": 697, "sequence_id": 573, "annotations": []}
{"role": "student", "content": "uh", "session_id": 697, "sequence_id": 574, "annotations": []}
{"role": "volunteer", "content": "I think so, yeah, I think so because, because I know BAM corresponds to angle CAM.", "session_id": 697, "sequence_id": 575, "annotations": []}
{"role": "student", "content": "yeah, so", "session_id": 697, "sequence_id": 576, "annotations": []}
{"role": "volunteer", "content": "OK.", "session_id": 697, "sequence_id": 577, "annotations": []}
{"role": "student", "content": "OK, let me just hold on real quick.", "session_id": 697, "sequence_id": 578, "annotations": []}
{"role": "volunteer", "content": "OK, are you working on 2C?", "session_id": 697, "sequence_id": 579, "annotations": []}
{"role": "student", "content": "Um, I don't really think that these questions will come back tomorrow, cause", "session_id": 697, "sequence_id": 580, "annotations": []}
{"role": "student", "content": "we um", "session_id": 697, "sequence_id": 581, "annotations": []}
{"role": "volunteer", "content": "Oh, OK. All right. OK, well, if you would do, so you wanna skip these? I, I think I.", "session_id": 697, "sequence_id": 582, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 697, "sequence_id": 583, "annotations": []}
{"role": "student", "content": "yeah, I mean just find", "session_id": 697, "sequence_id": 584, "annotations": []}
{"role": "student", "content": "it.", "session_id": 697, "sequence_id": 585, "annotations": []}
{"role": "volunteer", "content": "So where should we move to or are we done?", "session_id": 697, "sequence_id": 586, "annotations": []}
{"role": "student", "content": "OK, I'll find some questions that might come back.", "session_id": 697, "sequence_id": 587, "annotations": []}
{"role": "volunteer", "content": "OK. When you say come back, do they use exactly the same questions on the test, or are they similar?", "session_id": 697, "sequence_id": 588, "annotations": []}
{"role": "student", "content": "Oh, like the", "session_id": 697, "sequence_id": 589, "annotations": []}
{"role": "volunteer", "content": "or", "session_id": 697, "sequence_id": 590, "annotations": []}
{"role": "student", "content": "yeah, basically like they changed the numbers and figures.", "session_id": 697, "sequence_id": 591, "annotations": []}
{"role": "volunteer", "content": "Yeah, it's OK, OK.", "session_id": 697, "sequence_id": 592, "annotations": []}
{"role": "student", "content": "just not floating.", "session_id": 697, "sequence_id": 593, "annotations": []}
{"role": "volunteer", "content": "All right, I better go back and look at the other screen here. OK.", "session_id": 697, "sequence_id": 594, "annotations": []}
{"role": "student", "content": "Wait, OK. Um, let me just upload them and", "session_id": 697, "sequence_id": 595, "annotations": []}
{"role": "volunteer", "content": "OK.", "session_id": 697, "sequence_id": 596, "annotations": []}
{"role": "student", "content": "I think I have to take a picture of this.", "session_id": 697, "sequence_id": 597, "annotations": []}
{"role": "volunteer", "content": "OK, maybe also before you upload it, maybe you could delete this one. I, I'm, I'm worried that", "session_id": 697, "sequence_id": 598, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 697, "sequence_id": 599, "annotations": []}
{"role": "volunteer", "content": "there may be too many pictures, uh, I mean for the computer, not for me.", "session_id": 697, "sequence_id": 600, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 697, "sequence_id": 601, "annotations": []}
{"role": "student", "content": "Oh", "session_id": 697, "sequence_id": 602, "annotations": []}
{"role": "student", "content": "Oh", "session_id": 697, "sequence_id": 603, "annotations": []}
{"role": "volunteer", "content": "OK, I think I see it, oh, I, OK, no, I guess that was the old one, not the new one.", "session_id": 697, "sequence_id": 604, "annotations": []}
{"role": "student", "content": "How many should I delete all of them or?", "session_id": 697, "sequence_id": 605, "annotations": []}
{"role": "volunteer", "content": "I didn't hear you", "session_id": 697, "sequence_id": 606, "annotations": []}
{"role": "student", "content": "Should I delete all of them?", "session_id": 697, "sequence_id": 607, "annotations": []}
{"role": "volunteer", "content": "Uh, well, just, just ones you think we're not gonna need again.", "session_id": 697, "sequence_id": 608, "annotations": []}
{"role": "volunteer", "content": "so that we haven't", "session_id": 697, "sequence_id": 609, "annotations": []}
{"role": "student", "content": "Yeah, you know", "session_id": 697, "sequence_id": 610, "annotations": []}
{"role": "volunteer", "content": "OK, OK", "session_id": 697, "sequence_id": 611, "annotations": []}
{"role": "volunteer", "content": "Well", "session_id": 697, "sequence_id": 612, "annotations": []}
{"role": "student", "content": "not really downloading the questions are.", "session_id": 697, "sequence_id": 613, "annotations": []}
{"role": "volunteer", "content": "um", "session_id": 697, "sequence_id": 614, "annotations": []}
{"role": "student", "content": "and now.", "session_id": 697, "sequence_id": 615, "annotations": []}
{"role": "volunteer", "content": "I just keep trying for now and if not, we'll maybe, maybe um", "session_id": 697, "sequence_id": 616, "annotations": []}
{"role": "student", "content": "No, it's like my", "session_id": 697, "sequence_id": 617, "annotations": []}
{"role": "student", "content": "wait.", "session_id": 697, "sequence_id": 618, "annotations": []}
{"role": "student", "content": "it's on my, OK, never mind. I need to take a picture.", "session_id": 697, "sequence_id": 619, "annotations": []}
{"role": "student", "content": "right", "session_id": 697, "sequence_id": 620, "annotations": []}
{"role": "student", "content": "OK", "session_id": 697, "sequence_id": 621, "annotations": []}
{"role": "student", "content": "OK, so this one's given CPOCTC and definition of angle bisector.", "session_id": 697, "sequence_id": 622, "annotations": []}
{"role": "volunteer", "content": "But somehow my, my, sorry, my microphone got turned off.", "session_id": 697, "sequence_id": 623, "annotations": []}
{"role": "volunteer", "content": "Um, can you hear me", "session_id": 697, "sequence_id": 624, "annotations": []}
{"role": "student", "content": "Yeah, I can hear you", "session_id": 697, "sequence_id": 625, "annotations": []}
{"role": "volunteer", "content": "Oops, wait, no, I don't hear you.", "session_id": 697, "sequence_id": 626, "annotations": []}
{"role": "volunteer", "content": "I, I see", "session_id": 697, "sequence_id": 627, "annotations": []}
{"role": "student", "content": "Oh.", "session_id": 697, "sequence_id": 628, "annotations": []}
{"role": "volunteer", "content": "you know.", "session_id": 697, "sequence_id": 629, "annotations": []}
{"role": "volunteer", "content": "that.", "session_id": 697, "sequence_id": 630, "annotations": []}
{"role": "volunteer", "content": "00, OK, try it again. Let me see if I can hear you.", "session_id": 697, "sequence_id": 631, "annotations": []}
{"role": "student", "content": "Well", "session_id": 697, "sequence_id": 632, "annotations": []}
{"role": "volunteer", "content": "Yeah, I hear you now", "session_id": 697, "sequence_id": 633, "annotations": []}
{"role": "student", "content": "can you hear me", "session_id": 697, "sequence_id": 634, "annotations": []}
{"role": "volunteer", "content": "Yeah, for some reason", "session_id": 697, "sequence_id": 635, "annotations": []}
{"role": "volunteer", "content": "Oh, I know what happened when I rewrote it, when I refreshed that um", "session_id": 697, "sequence_id": 636, "annotations": []}
{"role": "volunteer", "content": "turns off my microphone and the speaker. OK, I hear you now. OK.", "session_id": 697, "sequence_id": 637, "annotations": []}
{"role": "student", "content": "Sorry?", "session_id": 697, "sequence_id": 638, "annotations": []}
{"role": "volunteer", "content": "So what I was saying is I think this one is similar.", "session_id": 697, "sequence_id": 639, "annotations": []}
{"role": "volunteer", "content": "to the last one where you gave, you just described things, but now we have to do it as a proof.", "session_id": 697, "sequence_id": 640, "annotations": []}
{"role": "volunteer", "content": "OK, so", "session_id": 697, "sequence_id": 641, "annotations": []}
{"role": "volunteer", "content": "you wanna work on this one", "session_id": 697, "sequence_id": 642, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 697, "sequence_id": 643, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 697, "sequence_id": 644, "annotations": []}
{"role": "volunteer", "content": "Yes", "session_id": 697, "sequence_id": 645, "annotations": []}
{"role": "student", "content": "OK. Um, first one was given. Second is super", "session_id": 697, "sequence_id": 646, "annotations": []}
{"role": "volunteer", "content": "yeah", "session_id": 697, "sequence_id": 647, "annotations": []}
{"role": "student", "content": "PC and then definition of it.", "session_id": 697, "sequence_id": 648, "annotations": []}
{"role": "volunteer", "content": "Wait a minute, wait a minute. Tell me what you have for 3.", "session_id": 697, "sequence_id": 649, "annotations": []}
{"role": "student", "content": "Definition of angle bisector.", "session_id": 697, "sequence_id": 650, "annotations": []}
{"role": "volunteer", "content": "OK, let me just think here. Okay.", "session_id": 697, "sequence_id": 651, "annotations": [{"pii_type": "PERSON", "surrogate": "Okay", "start": 28, "end": 32}]}
{"role": "volunteer", "content": "Yeah, OK. All right", "session_id": 697, "sequence_id": 652, "annotations": []}
{"role": "volunteer", "content": "Now wait a minute, wait, wait, wait a minute", "session_id": 697, "sequence_id": 653, "annotations": []}
{"role": "volunteer", "content": "QMP", "session_id": 697, "sequence_id": 654, "annotations": []}
{"role": "volunteer", "content": "biceps", "session_id": 697, "sequence_id": 655, "annotations": []}
{"role": "volunteer", "content": "Oh, I see it. They, they list two things in a bisects. OK. All right, yes, OK.", "session_id": 697, "sequence_id": 656, "annotations": []}
{"role": "volunteer", "content": "OK. Well, that was quick", "session_id": 697, "sequence_id": 657, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 697, "sequence_id": 658, "annotations": []}
{"role": "student", "content": "OK, let me", "session_id": 697, "sequence_id": 659, "annotations": []}
{"role": "volunteer", "content": "OK, I just looked something up on the internet. It says XYZ Education", "session_id": 697, "sequence_id": 660, "annotations": []}
{"role": "volunteer", "content": "is a global education management organization with headquarters in London.", "session_id": 697, "sequence_id": 661, "annotations": [{"pii_type": "LOCATION", "surrogate": "London", "start": 67, "end": 73}]}
{"role": "volunteer", "content": "So I guess your school was part of that", "session_id": 697, "sequence_id": 662, "annotations": []}
{"role": "volunteer", "content": "system, is that right", "session_id": 697, "sequence_id": 663, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 697, "sequence_id": 664, "annotations": []}
{"role": "volunteer", "content": "Yeah, OK. All right", "session_id": 697, "sequence_id": 665, "annotations": []}
{"role": "student", "content": "I mean, I think it was like", "session_id": 697, "sequence_id": 666, "annotations": []}
{"role": "student", "content": "founded in New York.", "session_id": 697, "sequence_id": 667, "annotations": [{"pii_type": "LOCATION", "surrogate": "New York", "start": 11, "end": 19}]}
{"role": "volunteer", "content": "Yes, yes, I think so. OK.", "session_id": 697, "sequence_id": 668, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 697, "sequence_id": 669, "annotations": []}
{"role": "student", "content": "the", "session_id": 697, "sequence_id": 670, "annotations": []}
{"role": "student", "content": "what was his name? I don't know. We had like a thing about him.", "session_id": 697, "sequence_id": 671, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 697, "sequence_id": 672, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 697, "sequence_id": 673, "annotations": []}
{"role": "student", "content": "Wait, I'm just gonna upload one more and then.", "session_id": 697, "sequence_id": 674, "annotations": []}
{"role": "volunteer", "content": "Uh", "session_id": 697, "sequence_id": 675, "annotations": []}
{"role": "student", "content": "so", "session_id": 697, "sequence_id": 676, "annotations": []}
{"role": "volunteer", "content": "OK. Tell me when you, it's uploaded because I'm looking for the bill from the plumber here.", "session_id": 697, "sequence_id": 677, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 697, "sequence_id": 678, "annotations": []}
{"role": "volunteer", "content": "All right.", "session_id": 697, "sequence_id": 679, "annotations": []}
{"role": "volunteer", "content": "So let me, let me magnify it and then I'll copy it here.", "session_id": 697, "sequence_id": 680, "annotations": []}
{"role": "volunteer", "content": "make it a little better.", "session_id": 697, "sequence_id": 681, "annotations": []}
{"role": "volunteer", "content": "make it a little bigger", "session_id": 697, "sequence_id": 682, "annotations": []}
{"role": "volunteer", "content": "right.", "session_id": 697, "sequence_id": 683, "annotations": []}
{"role": "volunteer", "content": "and it", "session_id": 697, "sequence_id": 684, "annotations": []}
{"role": "volunteer", "content": "OK, so this is number 11", "session_id": 697, "sequence_id": 685, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 697, "sequence_id": 686, "annotations": []}
{"role": "volunteer", "content": "OK.", "session_id": 697, "sequence_id": 687, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 697, "sequence_id": 688, "annotations": []}
{"role": "volunteer", "content": "OK, now I'll magnify it a little bit here. Let's try this.", "session_id": 697, "sequence_id": 689, "annotations": []}
{"role": "volunteer", "content": "OK, you to the diagram below.", "session_id": 697, "sequence_id": 690, "annotations": []}
{"role": "volunteer", "content": "Mhm.", "session_id": 697, "sequence_id": 691, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 697, "sequence_id": 692, "annotations": []}
{"role": "student", "content": "Wouldn't it be a no and BC and then O is just uh", "session_id": 697, "sequence_id": 693, "annotations": []}
{"role": "student", "content": "105", "session_id": 697, "sequence_id": 694, "annotations": []}
{"role": "student", "content": "degrees", "session_id": 697, "sequence_id": 695, "annotations": []}
{"role": "volunteer", "content": "OK, slow down your way ahead of me", "session_id": 697, "sequence_id": 696, "annotations": []}
{"role": "volunteer", "content": "where, OK, NO", "session_id": 697, "sequence_id": 697, "annotations": []}
{"role": "volunteer", "content": "is OK, NOBC, that's correct now angle", "session_id": 697, "sequence_id": 698, "annotations": []}
{"role": "volunteer", "content": "Oh yeah, I agree, yes, yes.", "session_id": 697, "sequence_id": 699, "annotations": []}
{"role": "volunteer", "content": "105, yes", "session_id": 697, "sequence_id": 700, "annotations": []}
{"role": "student", "content": "OK", "session_id": 697, "sequence_id": 701, "annotations": []}
{"role": "volunteer", "content": "OK, are there, are there more, questions?", "session_id": 697, "sequence_id": 702, "annotations": []}
{"role": "student", "content": "No, I think that was just like.", "session_id": 697, "sequence_id": 703, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 697, "sequence_id": 704, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 697, "sequence_id": 705, "annotations": []}
{"role": "volunteer", "content": "Well, that's good", "session_id": 697, "sequence_id": 706, "annotations": []}
{"role": "student", "content": "Oh, thank you so much for this session, and I hope you have a really good day and", "session_id": 697, "sequence_id": 707, "annotations": []}
{"role": "volunteer", "content": "OK, you're welcome. I just, um", "session_id": 697, "sequence_id": 708, "annotations": []}
{"role": "volunteer", "content": "I just want to point out that, see, where I live,", "session_id": 697, "sequence_id": 709, "annotations": []}
{"role": "volunteer", "content": "uh, I mean, tomorrow's Martin Luther King Day, so we don't have school, but you're sure you do have school tomorrow?", "session_id": 697, "sequence_id": 710, "annotations": [{"pii_type": "PERSON", "surrogate": "Martin Luther", "start": 23, "end": 36}]}
{"role": "student", "content": "yeah, I think my mom hasn't told me anything.", "session_id": 697, "sequence_id": 711, "annotations": []}
{"role": "volunteer", "content": "OK. OK. I was just checking. OK. All right. Well, I'll uh", "session_id": 697, "sequence_id": 712, "annotations": []}
{"role": "volunteer", "content": "I look forward to seeing you again. I'm a little rusty on my geometry, but I think you did fine.", "session_id": 697, "sequence_id": 713, "annotations": []}
{"role": "student", "content": "Yeah. Thank you. Bye.", "session_id": 697, "sequence_id": 714, "annotations": []}
{"role": "volunteer", "content": "OK, bye-bye", "session_id": 697, "sequence_id": 715, "annotations": []}
{"role": "student", "content": "a good day", "session_id": 697, "sequence_id": 716, "annotations": []}
{"role": "volunteer", "content": "hi how can i help", "session_id": 788, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "hello, i just need help with one question i can upload it", "session_id": 788, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "sure", "session_id": 788, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "do u want me to use my mic", "session_id": 788, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "to explain better", "session_id": 788, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "i find that helps w math a lot", "session_id": 788, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "sure you can", "session_id": 788, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "okay lets see the question", "session_id": 788, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "Hi, can you hear me", "session_id": 788, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "Just let me know", "session_id": 788, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "yes i can", "session_id": 788, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "OK, cool.", "session_id": 788, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "Uh, locate all extrema. OK, so, basically,", "session_id": 788, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "I'm trying to figure out how to do this. So, cause we just had a test on this recently, um.", "session_id": 788, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "OK, so basically, when the derivative equals 0", "session_id": 788, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "then it's a loc then it's a maxerin cause this is the slope of all the tangent lines that are on FFA. Does that make sense?", "session_id": 788, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "yes", "session_id": 788, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "OK, so it's literally just one", "session_id": 788, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "just put it here 12.", "session_id": 788, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "and yeah, those two points. So we know that those are going to be extrema, right?", "session_id": 788, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "So we know that right now, the slope", "session_id": 788, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "is positive, right? And then it goes to negative. So we know that this is", "session_id": 788, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "increasing, increasing, increasing, decreasing.", "session_id": 788, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "OK?", "session_id": 788, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "okay", "session_id": 788, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "OK. So at X equals -2, then if it's going up, up, up, up, up, and then down. It's gonna be a um local max. Does that make sense? Because once you start going down, you can't go up anymore.", "session_id": 788, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 788, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "Yeah. OK. And then", "session_id": 788, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "there is a, I think this is a minimum, yeah, cause you're going up, up, up, up, up, you're at zero, and then you start going down again.", "session_id": 788, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "okay", "session_id": 788, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "So that would be the local men", "session_id": 788, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "or absolute cause, yeah, absolute local, I mean, it's on, it's a line, so we're assuming that the there's no absolutemen in the function cause like,", "session_id": 788, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "yeah.", "session_id": 788, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "okay", "session_id": 788, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "is that all", "session_id": 788, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 788, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 788, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "so would the x values just be that?", "session_id": 788, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 788, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "Do you need help like of um", "session_id": 788, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "me explaining that.", "session_id": 788, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "or", "session_id": 788, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "yeah could you a little", "session_id": 788, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "yeah", "session_id": 788, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "Hold on", "session_id": 788, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "okay", "session_id": 788, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "Yeah, yeah, yeah, sorry, I actually explained it wrong because, oh shoot, cause the graph is really blurry. Sorry, I had a better look. So", "session_id": 788, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "when X, sorry, OK, now I can see it cause my thing is freezing. When we're in this, I'm gonna, how do I do have a highlighter? When we're in the top two quadrants.", "session_id": 788, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "it's positive", "session_id": 788, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "OK? Like, we're increasing.", "session_id": 788, "sequence_id": 49, "annotations": []}
{"role": "student", "content": "okay", "session_id": 788, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "When X is", "session_id": 788, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "above zero or mean Y is above zero for a derivative graph, we're increasing. However, when it's below zero, we're decreasing. So we know just by looking here, we're increasing, increasing, increasing, increasing. Local max for men, decreasing, decreasing, decreasing, increasing a little bit.", "session_id": 788, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "But I don't know if we touch zero, there's no way to know that. Decreasing, decreasing, decreasing, still decreasing even though it's less.", "session_id": 788, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "And then we start increasing right here because we go above 0.", "session_id": 788, "sequence_id": 54, "annotations": []}
{"role": "student", "content": "oh okay", "session_id": 788, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "Yeah. So we're decreasing, decreasing, decreasing.", "session_id": 788, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "I mean, sorry, yeah, increasing, increasing, increasing, decreasing. If we're increasing, increasing, increasing, like, let's say let's do a sample graph right here, start decreasing, that's a local max. Now, if we're decreasing, decreasing, decreasing, decreasing, and then we start increasing, that's the local men.", "session_id": 788, "sequence_id": 57, "annotations": []}
{"role": "student", "content": "ohokay", "session_id": 788, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 788, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "I hope that makes sense. If you need any other explanations, I can give that to you.", "session_id": 788, "sequence_id": 60, "annotations": []}
{"role": "student", "content": "yeah it does, so would my x values be like when it changes from neg to pos", "session_id": 788, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "Exactly", "session_id": 788, "sequence_id": 62, "annotations": []}
{"role": "student", "content": "and pos to negative?", "session_id": 788, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "So if you are going from", "session_id": 788, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "positive to negative, so I'm like struggling to find the words. That's a local max because we're increasing, increasing, increasing, and then decreasing. However, if we're going from negative to positive. Yeah, negative to positives. That means we're decreasing, decrease and decreasing and increasing. This, yeah, this looks like a whatever, right? That looks like a match for a men. However, because we're still below, right? Even if we", "session_id": 788, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "um hit 0, maybe if there's like a tangent line, right? And that would mean the slope is zero, we're still decreasing, we're not increasing because like let's say that it would look like this, right, we're decreasing, decreasing, decreasing, tangent line, which would be derivative zero, and then keep decreasing. There's no increase in there.", "session_id": 788, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "So even though it looks like it could be a local max or men, a local maxerin is when we cross the X-axis fully.", "session_id": 788, "sequence_id": 67, "annotations": []}
{"role": "student", "content": "ohh okay", "session_id": 788, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 788, "sequence_id": 69, "annotations": []}
{"role": "student", "content": "so the min would be x=3?", "session_id": 788, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "Exactly", "session_id": 788, "sequence_id": 71, "annotations": []}
{"role": "student", "content": "okay and the max is x=-2?", "session_id": 788, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "Yes", "session_id": 788, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "So I, it's like very laggy, this website.", "session_id": 788, "sequence_id": 74, "annotations": []}
{"role": "student", "content": "okay, i got it now thank you", "session_id": 788, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 788, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "Is that all", "session_id": 788, "sequence_id": 77, "annotations": []}
{"role": "student", "content": "yeah that was it", "session_id": 788, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "OK. Have a nice day", "session_id": 788, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "hi", "session_id": 811, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "Hello", "session_id": 811, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "any help", "session_id": 811, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "I have this math final and I rlly need to pass", "session_id": 811, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "we will do it together", "session_id": 811, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "let me know", "session_id": 811, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "But i can come back anytime and Sarah on her right", "session_id": 811, "sequence_id": 6, "annotations": [{"pii_type": "PERSON", "surrogate": "Sarah", "start": 32, "end": 37}]}
{"role": "student", "content": "For later", "session_id": 811, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "what?", "session_id": 811, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "Like if I needed ne", "session_id": 811, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "He", "session_id": 811, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "Help I can come back later", "session_id": 811, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "yah", "session_id": 811, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "And like r ppl able to talk on here like call and stuff", "session_id": 811, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "I am on school right now , I can text but cant take call", "session_id": 811, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "share your problem screen", "session_id": 811, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "You need help with this problem?", "session_id": 844, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "Yes please", "session_id": 844, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "No worries, first let me ask you do you have any idea what any of these mean?", "session_id": 844, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "I know what the x intercept is and the y intercept is but I am not sure about the rest", "session_id": 844, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "No worries, then for those 2 fill them out first", "session_id": 844, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "Perfect!", "session_id": 844, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "Now for domain, this is a very simple concept, basically, what is the lowest x value this graph reaches and what is the highest x value this graph reaches", "session_id": 844, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "What do you see?", "session_id": 844, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "I'm a bit confused sorry", "session_id": 844, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "Ok, lets look at the left side first, at the very left, what x values does this line land on", "session_id": 844, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "-1", "session_id": 844, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "Perfect, and now the right, we can see it continues on forever meaning it is heading towards what", "session_id": 844, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "infinity", "session_id": 844, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "positive infinity", "session_id": 844, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "perfect so its domain is [-1, infinity)", "session_id": 844, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "The bracket on the -1 means it includes -1 and the parentheses on the infinity means it does not include infinity because infinity is not a number.", "session_id": 844, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "Oh okay", "session_id": 844, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "Now use this same logic for the range, only now we are doing it with the y values", "session_id": 844, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "Go from the lowest (bottom) to the highest what it approches", "session_id": 844, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "6", "session_id": 844, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "Yes perfect, and it heads towards what y value", "session_id": 844, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "if it goes on forever", "session_id": 844, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "positive infinity", "session_id": 844, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "perfect", "session_id": 844, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "Great, your answer is perfect!", "session_id": 844, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "Now for the average rate of change, how would you find the rate of change of a straight line", "session_id": 844, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "I am not sure sorry", "session_id": 844, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "No worries then I will introduce you to the formula", "session_id": 844, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "This formula means that A(x) the average rate of change is equal to f(b)-f(a) all over b-a", "session_id": 844, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "And our point [8,15] is structured in the format [a,b]", "session_id": 844, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "Using this information, try pluging it into the formula", "session_id": 844, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "what would I put for f or does it just stay as an f for the formula", "session_id": 844, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "basically all the f(a) means is what is the y value at the given a value", "session_id": 844, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "same logic for f(b))", "session_id": 844, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "so basically for we know for our given range 8=a", "session_id": 844, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "meaning f(a) = f(8) = y value when x=8 = 12", "session_id": 844, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "Same logic for f(b))", "session_id": 844, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "Sorry for asking, but where did the 12 come from", "session_id": 844, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "No worries at all", "session_id": 844, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "Basically, 12 is just the y value when the x value is 8", "session_id": 844, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "so if we look at x =8", "session_id": 844, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "The red line I drew", "session_id": 844, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "the y value that intersects at is y=12", "session_id": 844, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "so f(a) really just means f(8) in this situation, which means the y value when x is 8", "session_id": 844, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "So for f(b)) that means what is the y value when x=15", "session_id": 844, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "14", "session_id": 844, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "yes perfect", "session_id": 844, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "now plug these numbers into the formula", "session_id": 844, "sequence_id": 47, "annotations": []}
{"role": "student", "content": "for f(b)) and f(a) do I put 15 and 8", "session_id": 844, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "inside them", "session_id": 844, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "yes that would be a good extra step to show your work but we have already determined what both values equal so just plug those values in and solve for final answer", "session_id": 844, "sequence_id": 50, "annotations": []}
{"role": "student", "content": "Like that?", "session_id": 844, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "Yes perfect now evaluate", "session_id": 844, "sequence_id": 52, "annotations": []}
{"role": "student", "content": "Like that", "session_id": 844, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "yes that is perfect, thats all there is to it", "session_id": 844, "sequence_id": 54, "annotations": []}
{"role": "student", "content": "Okay thank you for the help!", "session_id": 844, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "no worries, good luck on the rest of your work!", "session_id": 844, "sequence_id": 56, "annotations": []}
{"role": "student", "content": "Thank you", "session_id": 844, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "Howdy !", "session_id": 886, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "Yellur", "session_id": 886, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "So what's going on in your math class?", "session_id": 886, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "Right now we are going over unit 6 in ap calc ab (like approximations and basic integral stuff)", "session_id": 886, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "So do you have some sample problems you wanna look at?", "session_id": 886, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "And i have a quiz tmr :D", "session_id": 886, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "I have the study guide and a few questions to like LOCK IN the final info loll", "session_id": 886, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "Sweet !", "session_id": 886, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "Okay i understand a-c but i can work through them for funsies, but im always messing up trapezoidal calculations and its properties :\u2019(", "session_id": 886, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "I've not seen those acronyms in a b and c before - what are they?", "session_id": 886, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "Left end point, and ...", "session_id": 886, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "Left reinnmansum", "session_id": 886, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "Right and midpoint", "session_id": 886, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "More acronyms.", "session_id": 886, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "Don't like 'em.", "session_id": 886, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "Yeahh not the funnest", "session_id": 886, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "Funnest lol", "session_id": 886, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "Let me graph this real quick so we can work thru part d.", "session_id": 886, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "Be right back.", "session_id": 886, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "Alright also ap peeps don\u2019t get a calculator sigh", "session_id": 886, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "bummer...", "session_id": 886, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "Ikr :\\", "session_id": 886, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "So yeah, it looks like that.", "session_id": 886, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "You can plot this without desmos by plotting the intercept", "session_id": 886, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "Vertex at -b/2a", "session_id": 886, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "Oh wowww", "session_id": 886, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "And so forth.", "session_id": 886, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "I just like to get a picture.", "session_id": 886, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "So fancy", "session_id": 886, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "Chris", "session_id": 886, "sequence_id": 29, "annotations": [{"pii_type": "PERSON", "surrogate": "Chris", "start": 0, "end": 5}]}
{"role": "student", "content": "If we get Chris Math 101% doin that", "session_id": 886, "sequence_id": 30, "annotations": [{"pii_type": "PERSON", "surrogate": "Chris", "start": 10, "end": 15}, {"pii_type": "COURSE", "surrogate": "Math 101", "start": 16, "end": 24}]}
{"role": "volunteer", "content": "It just works better than me trying to draw something by hand on this whiteboard.", "session_id": 886, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "It feels like I'm drawing with a crayon between my toes.", "session_id": 886, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "Oml that\u2019s hilarious", "session_id": 886, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "Yep, square them and add them up.", "session_id": 886, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "Oh shoot mb those are the doubled answers", "session_id": 886, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "The ones i put in y", "session_id": 886, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "You gotta plug in 1, 3, 5, and 7", "session_id": 886, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "Its 1, -3, -15, -35", "session_id": 886, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "And double those you get the answer i wrote in y accidentally", "session_id": 886, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "The final answer is -104", "session_id": 886, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "And that's our answer and we're sticking to it.", "session_id": 886, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "You'll sometimes see this listed like this (see insert).", "session_id": 886, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "Yeah i never remembered the trapezoidal one", "session_id": 886, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "It's just taking the midpoint of each rectangle and using that.", "session_id": 886, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "This formula makes it more complicated in my opinion.", "session_id": 886, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "So mram times 1/2 times 8-0", "session_id": 886, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "Wait 8-0 over 4", "session_id": 886, "sequence_id": 47, "annotations": []}
{"role": "student", "content": "(.5)(2)", "session_id": 886, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "delta x = 8 - 0 divided by 4 = 2", "session_id": 886, "sequence_id": 49, "annotations": []}
{"role": "student", "content": "Okay so how would i remember yk if they ask me is trapezoidal over or underestimate for said graph,", "session_id": 886, "sequence_id": 50, "annotations": []}
{"role": "student", "content": "Like uh concave up and increasing", "session_id": 886, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "Hold on a sec...", "session_id": 886, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "I'm not sure if it's over or underestimating.", "session_id": 886, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "We can integrate (cheat) and compare that to the -208", "session_id": 886, "sequence_id": 54, "annotations": []}
{"role": "student", "content": "OH WAIT also for the trapezioudal calculation im supposed to also include like for example f(0)+2(f(blabla))+ at the end f(8)? And like the first and last number dont get doubled?", "session_id": 886, "sequence_id": 55, "annotations": []}
{"role": "student", "content": "Oop using our recourses :D", "session_id": 886, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "Because think of the first rectangle.", "session_id": 886, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "The legs are f(x_0) and f(x_1) right?", "session_id": 886, "sequence_id": 58, "annotations": []}
{"role": "student", "content": "Mhm", "session_id": 886, "sequence_id": 59, "annotations": []}
{"role": "student", "content": "Ohh", "session_id": 886, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "And second triangle is f(x_2) and f(x_3)", "session_id": 886, "sequence_id": 61, "annotations": []}
{"role": "student", "content": "Mhm", "session_id": 886, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "Let me draw a picture.", "session_id": 886, "sequence_id": 63, "annotations": []}
{"role": "student", "content": "Okay!", "session_id": 886, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "Just using a generic graph, not the real one.", "session_id": 886, "sequence_id": 65, "annotations": []}
{"role": "student", "content": "Mhm", "session_id": 886, "sequence_id": 66, "annotations": []}
{"role": "student", "content": "You\u2019re using right approx?", "session_id": 886, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "No, using the one in the middle.", "session_id": 886, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "f(1)", "session_id": 886, "sequence_id": 69, "annotations": []}
{"role": "student", "content": "Wouldn\u2019t 6-8 be diff then?", "session_id": 886, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "Yes, like that.", "session_id": 886, "sequence_id": 71, "annotations": []}
{"role": "student", "content": "Okay yup", "session_id": 886, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "The height of the 4th rectangle is f(7).", "session_id": 886, "sequence_id": 73, "annotations": []}
{"role": "student", "content": "Mhm", "session_id": 886, "sequence_id": 74, "annotations": []}
{"role": "volunteer", "content": "Area of the 1st one if x-value) times delta x", "session_id": 886, "sequence_id": 75, "annotations": []}
{"role": "student", "content": "how would traperzoidal look?", "session_id": 886, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "Hold on a sec - I've totally screwed this up.", "session_id": 886, "sequence_id": 77, "annotations": []}
{"role": "student", "content": "Like that", "session_id": 886, "sequence_id": 78, "annotations": []}
{"role": "student", "content": "?", "session_id": 886, "sequence_id": 79, "annotations": []}
{"role": "student", "content": ":\u2019D", "session_id": 886, "sequence_id": 80, "annotations": []}
{"role": "volunteer", "content": "I was giving you the midpoint formula and speech, not trapezoid.", "session_id": 886, "sequence_id": 81, "annotations": []}
{"role": "student", "content": "I was like huhHhhH", "session_id": 886, "sequence_id": 82, "annotations": []}
{"role": "volunteer", "content": "Hold on a sec - gotta quite down the dogs (barking at nothing).", "session_id": 886, "sequence_id": 83, "annotations": []}
{"role": "student", "content": "HAHAH realll", "session_id": 886, "sequence_id": 84, "annotations": []}
{"role": "volunteer", "content": "Seriously - we get a deer in the backyard and they go bezerk.", "session_id": 886, "sequence_id": 85, "annotations": []}
{"role": "student", "content": "That is so cool!", "session_id": 886, "sequence_id": 86, "annotations": []}
{"role": "student", "content": "There aren\u2019t much deer in our backyards thankfully", "session_id": 886, "sequence_id": 87, "annotations": []}
{"role": "volunteer", "content": "we've got TONS in Vermont...", "session_id": 886, "sequence_id": 88, "annotations": [{"pii_type": "LOCATION", "surrogate": "Vermont", "start": 18, "end": 25}]}
{"role": "student", "content": "I bet :\u2019D", "session_id": 886, "sequence_id": 89, "annotations": []}
{"role": "student", "content": "Colorado is just a chill guy", "session_id": 886, "sequence_id": 90, "annotations": [{"pii_type": "LOCATION", "surrogate": "Colorado", "start": 0, "end": 8}]}
{"role": "volunteer", "content": "So for the trapezoidal method, we take the average of the two \"posts\" at each end of the rectangle.", "session_id": 886, "sequence_id": 91, "annotations": []}
{"role": "volunteer", "content": "Not the function value at the midpoint of the rectangle.", "session_id": 886, "sequence_id": 92, "annotations": []}
{"role": "student", "content": "Mhm", "session_id": 886, "sequence_id": 93, "annotations": []}
{"role": "volunteer", "content": "So f(x_midpoint) and other \"posts\" get counted twice.", "session_id": 886, "sequence_id": 94, "annotations": []}
{"role": "volunteer", "content": "Once as a \"left post\" of one rectangle and once as a \"right post\" of the adjacent rectangle.", "session_id": 886, "sequence_id": 95, "annotations": []}
{"role": "student", "content": "Oh but since the first and last dont get repeated then they get multipled by one onl", "session_id": 886, "sequence_id": 96, "annotations": []}
{"role": "volunteer", "content": "Yes !", "session_id": 886, "sequence_id": 97, "annotations": []}
{"role": "student", "content": "Gotchaaa", "session_id": 886, "sequence_id": 98, "annotations": []}
{"role": "volunteer", "content": "It's hard to explain in dialog box but easy to understand once you get it.", "session_id": 886, "sequence_id": 99, "annotations": []}
{"role": "student", "content": "It clicked now", "session_id": 886, "sequence_id": 100, "annotations": []}
{"role": "volunteer", "content": "Do you want to go thru the algebra part of it?", "session_id": 886, "sequence_id": 101, "annotations": []}
{"role": "student", "content": "Yeah sure!", "session_id": 886, "sequence_id": 102, "annotations": []}
{"role": "volunteer", "content": "Here we go.", "session_id": 886, "sequence_id": 103, "annotations": []}
{"role": "volunteer", "content": "Yes, that's it !", "session_id": 886, "sequence_id": 104, "annotations": []}
{"role": "volunteer", "content": "-112?", "session_id": 886, "sequence_id": 105, "annotations": []}
{"role": "student", "content": "Yeah? :\u2019D", "session_id": 886, "sequence_id": 106, "annotations": []}
{"role": "volunteer", "content": "Yep, we finally got there after some turns.", "session_id": 886, "sequence_id": 107, "annotations": []}
{"role": "volunteer", "content": "Sorry for starting out with the wrong formula.", "session_id": 886, "sequence_id": 108, "annotations": []}
{"role": "student", "content": "It\u2019s negative cus the graph is reflected right", "session_id": 886, "sequence_id": 109, "annotations": []}
{"role": "volunteer", "content": "It's because I mixed up the midpoint method and the trapezoidal method and now my head has exploded.", "session_id": 886, "sequence_id": 110, "annotations": []}
{"role": "student", "content": "Uh oh :o", "session_id": 886, "sequence_id": 111, "annotations": []}
{"role": "student", "content": "That\u2019s not good! I still got tons of problems", "session_id": 886, "sequence_id": 112, "annotations": []}
{"role": "volunteer", "content": "Do you have any easier problems?", "session_id": 886, "sequence_id": 113, "annotations": []}
{"role": "volunteer", "content": ":-)", "session_id": 886, "sequence_id": 114, "annotations": []}
{"role": "student", "content": "lol yes", "session_id": 886, "sequence_id": 115, "annotations": []}
{"role": "student", "content": "Just for extra practice", "session_id": 886, "sequence_id": 116, "annotations": []}
{"role": "volunteer", "content": "Post 'em !", "session_id": 886, "sequence_id": 117, "annotations": []}
{"role": "student", "content": "it\u2019s one is literally the easiest one there", "session_id": 886, "sequence_id": 118, "annotations": []}
{"role": "volunteer", "content": "Yup, so far so good.", "session_id": 886, "sequence_id": 119, "annotations": []}
{"role": "volunteer", "content": "We slow down this time.", "session_id": 886, "sequence_id": 120, "annotations": []}
{"role": "student", "content": "i need to pract=ice explaining!", "session_id": 886, "sequence_id": 121, "annotations": []}
{"role": "student", "content": "for FRQ\u2019s", "session_id": 886, "sequence_id": 122, "annotations": []}
{"role": "volunteer", "content": "Say that when you multiply 800 gallons per hour times 5 hours you get 4,000 gallons.", "session_id": 886, "sequence_id": 123, "annotations": []}
{"role": "volunteer", "content": "That represents how much oil was pumped during that time.", "session_id": 886, "sequence_id": 124, "annotations": []}
{"role": "student", "content": "Ahhh", "session_id": 886, "sequence_id": 125, "annotations": []}
{"role": "student", "content": "Wait i thought for area ou have to multiply each rectangle and add them", "session_id": 886, "sequence_id": 126, "annotations": []}
{"role": "volunteer", "content": "We already find the areas and wrote them in each rectangle.", "session_id": 886, "sequence_id": 127, "annotations": []}
{"role": "student", "content": "But why is it getting divided by 12?", "session_id": 886, "sequence_id": 128, "annotations": []}
{"role": "volunteer", "content": "Oh, I thought they wanted average rate.", "session_id": 886, "sequence_id": 129, "annotations": []}
{"role": "volunteer", "content": "Oops.", "session_id": 886, "sequence_id": 130, "annotations": []}
{"role": "student", "content": "Haha youre totally just testing how locked in i am", "session_id": 886, "sequence_id": 131, "annotations": []}
{"role": "volunteer", "content": "Exactly.", "session_id": 886, "sequence_id": 132, "annotations": []}
{"role": "student", "content": "Chris got this one locked in", "session_id": 886, "sequence_id": 133, "annotations": [{"pii_type": "PERSON", "surrogate": "Chris", "start": 0, "end": 5}]}
{"role": "volunteer", "content": "Right on.", "session_id": 886, "sequence_id": 134, "annotations": []}
{"role": "volunteer", "content": ":-)", "session_id": 886, "sequence_id": 135, "annotations": []}
{"role": "volunteer", "content": "NEXT !", "session_id": 886, "sequence_id": 136, "annotations": []}
{"role": "student", "content": "On to the next ADVENTURE", "session_id": 886, "sequence_id": 137, "annotations": []}
{"role": "student", "content": "Ah yes your fav", "session_id": 886, "sequence_id": 138, "annotations": []}
{"role": "student", "content": "OH SHOOT", "session_id": 886, "sequence_id": 139, "annotations": []}
{"role": "student", "content": "THEYRE NOT EQUAL", "session_id": 886, "sequence_id": 140, "annotations": []}
{"role": "volunteer", "content": "Subintervals not equal.", "session_id": 886, "sequence_id": 141, "annotations": []}
{"role": "student", "content": "Mb", "session_id": 886, "sequence_id": 142, "annotations": []}
{"role": "volunteer", "content": "They are tricky buggers !!!", "session_id": 886, "sequence_id": 143, "annotations": []}
{"role": "volunteer", "content": "Yep.", "session_id": 886, "sequence_id": 144, "annotations": []}
{"role": "volunteer", "content": "And there's your bacon !", "session_id": 886, "sequence_id": 145, "annotations": []}
{"role": "student", "content": "Yummers", "session_id": 886, "sequence_id": 146, "annotations": []}
{"role": "student", "content": "Bacon for dinner?", "session_id": 886, "sequence_id": 147, "annotations": []}
{"role": "volunteer", "content": "That's my way of saying \"there's the answer !\"", "session_id": 886, "sequence_id": 148, "annotations": []}
{"role": "student", "content": "Ah nice nice\u2019", "session_id": 886, "sequence_id": 149, "annotations": []}
{"role": "volunteer", "content": "Are we done yet?", "session_id": 886, "sequence_id": 150, "annotations": []}
{"role": "student", "content": "Nah", "session_id": 886, "sequence_id": 151, "annotations": []}
{"role": "student", "content": "ah!", "session_id": 886, "sequence_id": 152, "annotations": []}
{"role": "student", "content": "Mb doin mental math", "session_id": 886, "sequence_id": 153, "annotations": []}
{"role": "volunteer", "content": "Are you sure about b?", "session_id": 886, "sequence_id": 154, "annotations": []}
{"role": "student", "content": "I hope so?", "session_id": 886, "sequence_id": 155, "annotations": []}
{"role": "volunteer", "content": "But let's say the curve is under the x axis (negative)", "session_id": 886, "sequence_id": 156, "annotations": []}
{"role": "student", "content": "What if its positive tho?", "session_id": 886, "sequence_id": 157, "annotations": []}
{"role": "volunteer", "content": "Then you'll get a less small negative number.", "session_id": 886, "sequence_id": 158, "annotations": []}
{"role": "student", "content": "Oh wow", "session_id": 886, "sequence_id": 159, "annotations": []}
{"role": "volunteer", "content": "Yes, different answer if it's positive.", "session_id": 886, "sequence_id": 160, "annotations": []}
{"role": "volunteer", "content": "That's my point..", "session_id": 886, "sequence_id": 161, "annotations": []}
{"role": "student", "content": "I never thought of that", "session_id": 886, "sequence_id": 162, "annotations": []}
{"role": "volunteer", "content": "Seems PA boy is of some use.", "session_id": 886, "sequence_id": 163, "annotations": []}
{"role": "student", "content": "What thats crazy", "session_id": 886, "sequence_id": 164, "annotations": []}
{"role": "student", "content": "Literally sobbing rn", "session_id": 886, "sequence_id": 165, "annotations": []}
{"role": "volunteer", "content": "Are we done yet?", "session_id": 886, "sequence_id": 166, "annotations": []}
{"role": "student", "content": "Okay uh lets go to integrals", "session_id": 886, "sequence_id": 167, "annotations": []}
{"role": "volunteer", "content": "Yes !", "session_id": 886, "sequence_id": 168, "annotations": []}
{"role": "student", "content": "The fun partt", "session_id": 886, "sequence_id": 169, "annotations": []}
{"role": "student", "content": "I got 2 more screenshots and then i think im done", "session_id": 886, "sequence_id": 170, "annotations": []}
{"role": "volunteer", "content": "Yep - pull that 20 outside the integrand.", "session_id": 886, "sequence_id": 171, "annotations": []}
{"role": "student", "content": "See do yk how to write that in the fat Riemann sum form?", "session_id": 886, "sequence_id": 172, "annotations": []}
{"role": "student", "content": "Im always confused when i need to do it", "session_id": 886, "sequence_id": 173, "annotations": []}
{"role": "volunteer", "content": "what's a fat jax?", "session_id": 886, "sequence_id": 174, "annotations": []}
{"role": "student", "content": "that :\u2019D", "session_id": 886, "sequence_id": 175, "annotations": []}
{"role": "student", "content": "Like say i got the integral with just -20", "session_id": 886, "sequence_id": 176, "annotations": []}
{"role": "student", "content": "How would i rewrite that into this form?", "session_id": 886, "sequence_id": 177, "annotations": []}
{"role": "volunteer", "content": "So you're doing Riemann sums when n goes to infinitity.", "session_id": 886, "sequence_id": 178, "annotations": []}
{"role": "volunteer", "content": "You start with the formula f(x)", "session_id": 886, "sequence_id": 179, "annotations": []}
{"role": "student", "content": "But what would the formula be?", "session_id": 886, "sequence_id": 180, "annotations": []}
{"role": "student", "content": "Just y=x?", "session_id": 886, "sequence_id": 181, "annotations": []}
{"role": "student", "content": "No y=num", "session_id": 886, "sequence_id": 182, "annotations": []}
{"role": "volunteer", "content": "It would be y = -20", "session_id": 886, "sequence_id": 183, "annotations": []}
{"role": "volunteer", "content": "So let's get back to part a.", "session_id": 886, "sequence_id": 184, "annotations": []}
{"role": "volunteer", "content": "You're integrating the function y = -20 from 3 to 7", "session_id": 886, "sequence_id": 185, "annotations": []}
{"role": "student", "content": "4*-20", "session_id": 886, "sequence_id": 186, "annotations": []}
{"role": "volunteer", "content": "So area under curve = -20 x 4 = 80", "session_id": 886, "sequence_id": 187, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 886, "sequence_id": 188, "annotations": []}
{"role": "volunteer", "content": "One down !", "session_id": 886, "sequence_id": 189, "annotations": []}
{"role": "student", "content": "Wait how do i rewrite it tho", "session_id": 886, "sequence_id": 190, "annotations": []}
{"role": "student", "content": ":\u2019D", "session_id": 886, "sequence_id": 191, "annotations": []}
{"role": "volunteer", "content": "Part b?", "session_id": 886, "sequence_id": 192, "annotations": []}
{"role": "student", "content": "No part a", "session_id": 886, "sequence_id": 193, "annotations": []}
{"role": "student", "content": "Like into the other form", "session_id": 886, "sequence_id": 194, "annotations": []}
{"role": "student", "content": "YK what ill save it for the other screenshot", "session_id": 886, "sequence_id": 195, "annotations": []}
{"role": "volunteer", "content": "They are not asking you to do that though...", "session_id": 886, "sequence_id": 196, "annotations": []}
{"role": "student", "content": "They will later :\\", "session_id": 886, "sequence_id": 197, "annotations": []}
{"role": "volunteer", "content": "They are just asking you to use geometry, not Riemann sums.", "session_id": 886, "sequence_id": 198, "annotations": []}
{"role": "volunteer", "content": "Yep, rectangle for part a.", "session_id": 886, "sequence_id": 199, "annotations": []}
{"role": "volunteer", "content": "Triangle for part b", "session_id": 886, "sequence_id": 200, "annotations": []}
{"role": "volunteer", "content": "circle for part c", "session_id": 886, "sequence_id": 201, "annotations": []}
{"role": "volunteer", "content": "Transposed circle for part d", "session_id": 886, "sequence_id": 202, "annotations": []}
{"role": "volunteer", "content": "Semi circle and rectangle for part d", "session_id": 886, "sequence_id": 203, "annotations": []}
{"role": "student", "content": "yay!", "session_id": 886, "sequence_id": 204, "annotations": []}
{"role": "volunteer", "content": "Houston !", "session_id": 886, "sequence_id": 205, "annotations": [{"pii_type": "LOCATION", "surrogate": "Houston", "start": 0, "end": 7}]}
{"role": "student", "content": "okay final screenshot", "session_id": 886, "sequence_id": 206, "annotations": []}
{"role": "volunteer", "content": "and no reimann sums either.", "session_id": 886, "sequence_id": 207, "annotations": []}
{"role": "student", "content": ":D", "session_id": 886, "sequence_id": 208, "annotations": []}
{"role": "student", "content": "Say what", "session_id": 886, "sequence_id": 209, "annotations": []}
{"role": "volunteer", "content": "So you're okay with delta x ?", "session_id": 886, "sequence_id": 210, "annotations": []}
{"role": "volunteer", "content": "It being 4/n ?", "session_id": 886, "sequence_id": 211, "annotations": []}
{"role": "student", "content": "Mhm! Im working a bit lower", "session_id": 886, "sequence_id": 212, "annotations": []}
{"role": "volunteer", "content": "Okay, we got the same answer.", "session_id": 886, "sequence_id": 213, "annotations": []}
{"role": "student", "content": "Yay!", "session_id": 886, "sequence_id": 214, "annotations": []}
{"role": "volunteer", "content": "So you're FAT JAX is another way of doing it.", "session_id": 886, "sequence_id": 215, "annotations": []}
{"role": "student", "content": "It\u2019s how I remember the order", "session_id": 886, "sequence_id": 216, "annotations": []}
{"role": "volunteer", "content": "You're just starting at the left point a and incrementing by delta x as you go right.", "session_id": 886, "sequence_id": 217, "annotations": []}
{"role": "student", "content": "F(a+jAx)", "session_id": 886, "sequence_id": 218, "annotations": []}
{"role": "volunteer", "content": "Brilliant !", "session_id": 886, "sequence_id": 219, "annotations": []}
{"role": "student", "content": "Miami!", "session_id": 886, "sequence_id": 220, "annotations": [{"pii_type": "LOCATION", "surrogate": "Miami", "start": 0, "end": 5}]}
{"role": "volunteer", "content": "Then you do all these clever substitutions so get rid of the i term.", "session_id": 886, "sequence_id": 221, "annotations": []}
{"role": "volunteer", "content": "Then take the limit as n goes to infinity.", "session_id": 886, "sequence_id": 222, "annotations": []}
{"role": "volunteer", "content": "Yeah, yuk is right.", "session_id": 886, "sequence_id": 223, "annotations": []}
{"role": "student", "content": "That looks miserable to memorize", "session_id": 886, "sequence_id": 224, "annotations": []}
{"role": "student", "content": "Im done!", "session_id": 886, "sequence_id": 225, "annotations": []}
{"role": "volunteer", "content": "Sweet !", "session_id": 886, "sequence_id": 226, "annotations": []}
{"role": "student", "content": "Now for the last part!", "session_id": 886, "sequence_id": 227, "annotations": []}
{"role": "volunteer", "content": "You are one SHARP COOKIE and will do fine on your test.", "session_id": 886, "sequence_id": 228, "annotations": []}
{"role": "volunteer", "content": "Just slow it down a bit !", "session_id": 886, "sequence_id": 229, "annotations": []}
{"role": "student", "content": "The reverse (also this is where imma get quizzed the most on :\u2019D)", "session_id": 886, "sequence_id": 230, "annotations": []}
{"role": "student", "content": "AH sorry", "session_id": 886, "sequence_id": 231, "annotations": []}
{"role": "student", "content": "That\u2019s!", "session_id": 886, "sequence_id": 232, "annotations": []}
{"role": "volunteer", "content": "What problem are we working on?", "session_id": 886, "sequence_id": 233, "annotations": []}
{"role": "student", "content": "11", "session_id": 886, "sequence_id": 234, "annotations": []}
{"role": "student", "content": "see part c was my question", "session_id": 886, "sequence_id": 235, "annotations": []}
{"role": "volunteer", "content": "So you've got a and b?", "session_id": 886, "sequence_id": 236, "annotations": []}
{"role": "student", "content": "Yup i can do them rq", "session_id": 886, "sequence_id": 237, "annotations": []}
{"role": "volunteer", "content": "So how to do c is the question?", "session_id": 886, "sequence_id": 238, "annotations": []}
{"role": "student", "content": "mhm", "session_id": 886, "sequence_id": 239, "annotations": []}
{"role": "volunteer", "content": "I say -6", "session_id": 886, "sequence_id": 240, "annotations": []}
{"role": "student", "content": "Not solve it but rewrite it?", "session_id": 886, "sequence_id": 241, "annotations": []}
{"role": "volunteer", "content": "You can bring that 1/n term inside the summation sign but I don't know if that helps.", "session_id": 886, "sequence_id": 242, "annotations": []}
{"role": "volunteer", "content": "I'm stumped.", "session_id": 886, "sequence_id": 243, "annotations": []}
{"role": "volunteer", "content": "Want me to ask GROK?", "session_id": 886, "sequence_id": 244, "annotations": []}
{"role": "student", "content": "Ask what?", "session_id": 886, "sequence_id": 245, "annotations": []}
{"role": "volunteer", "content": "Grok - it's the AI bot on X", "session_id": 886, "sequence_id": 246, "annotations": []}
{"role": "student", "content": "Haha suree", "session_id": 886, "sequence_id": 247, "annotations": []}
{"role": "volunteer", "content": "Can do amazing stuff.", "session_id": 886, "sequence_id": 248, "annotations": []}
{"role": "student", "content": "That\u2019s crazy", "session_id": 886, "sequence_id": 249, "annotations": []}
{"role": "volunteer", "content": "Be right back.", "session_id": 886, "sequence_id": 250, "annotations": []}
{"role": "student", "content": "Gotta check that out one day", "session_id": 886, "sequence_id": 251, "annotations": []}
{"role": "volunteer", "content": "It also got -6.", "session_id": 886, "sequence_id": 252, "annotations": []}
{"role": "volunteer", "content": "Let me ask it now for the rewrite.", "session_id": 886, "sequence_id": 253, "annotations": []}
{"role": "student", "content": "Chris", "session_id": 886, "sequence_id": 254, "annotations": [{"pii_type": "PERSON", "surrogate": "Chris", "start": 0, "end": 5}]}
{"role": "student", "content": "Okay but why?", "session_id": 886, "sequence_id": 255, "annotations": []}
{"role": "student", "content": "Is -2 just its own function?", "session_id": 886, "sequence_id": 256, "annotations": []}
{"role": "volunteer", "content": "Am getting there...", "session_id": 886, "sequence_id": 257, "annotations": []}
{"role": "student", "content": "Whoops", "session_id": 886, "sequence_id": 258, "annotations": []}
{"role": "volunteer", "content": "So when I math tutor, I always keep a tab open for Grok and for Claude.", "session_id": 886, "sequence_id": 259, "annotations": []}
{"role": "student", "content": "Smarttt!", "session_id": 886, "sequence_id": 260, "annotations": []}
{"role": "volunteer", "content": "More like lazy but I'll take it.", "session_id": 886, "sequence_id": 261, "annotations": []}
{"role": "student", "content": "I need to tutor bruh, free money", "session_id": 886, "sequence_id": 262, "annotations": []}
{"role": "student", "content": "Nah lazy is genuis", "session_id": 886, "sequence_id": 263, "annotations": []}
{"role": "student", "content": "They invent some crazy stuff", "session_id": 886, "sequence_id": 264, "annotations": []}
{"role": "volunteer", "content": "That'Lincoln High !", "session_id": 886, "sequence_id": 265, "annotations": [{"pii_type": "SCHOOL", "surrogate": "Lincoln High", "start": 5, "end": 17}]}
{"role": "student", "content": "Def gotta pick that up! Some basic algebra or something", "session_id": 886, "sequence_id": 266, "annotations": []}
{"role": "volunteer", "content": "You'll be fine.", "session_id": 886, "sequence_id": 267, "annotations": []}
{"role": "volunteer", "content": "Okay, so best of luck on your test !!!", "session_id": 886, "sequence_id": 268, "annotations": []}
{"role": "student", "content": "Quiz* thanks!!", "session_id": 886, "sequence_id": 269, "annotations": []}
{"role": "volunteer", "content": "Take care...", "session_id": 886, "sequence_id": 270, "annotations": []}
{"role": "student", "content": "you too", "session_id": 886, "sequence_id": 271, "annotations": []}
{"role": "volunteer", "content": "Hi! How may I help you?", "session_id": 816, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "Good morning, I need help with a problem but I only have 15 minutes.", "session_id": 816, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "I\u2019ll put it on the board.", "session_id": 816, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "That would be great, Thank you.", "session_id": 816, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "What specific part do you need help with?", "session_id": 816, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "The solving part.", "session_id": 816, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "Okay, what do you think we need to do first?", "session_id": 816, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "I want to know how do I factor the 8+2a-a^2", "session_id": 816, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "Okay, what do you think we can factor out from that?", "session_id": 816, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "Hint: It might help if you put it in standard form.", "session_id": 816, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "I don\u2019t know.", "session_id": 816, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "I haven\u2019t been using standard form to solve it.", "session_id": 816, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "You can put the ones with highest degree first.", "session_id": 816, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "Now, what do you think we can factor from here?", "session_id": 816, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "Ok, you can factor out the negative, because it makes it more difficult to solve.", "session_id": 816, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "Yes, great job!", "session_id": 816, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "What do you think the next step is?", "session_id": 816, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "To factor the bottom.", "session_id": 816, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "And do KCF.", "session_id": 816, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "Yes, try that.", "session_id": 816, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "Yup, so according to keep change flip, what must we do now?", "session_id": 816, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "Yes. Try to factor the bottom.", "session_id": 816, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "Yes, you would get (a-4)(a+2)", "session_id": 816, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "Now, we can cancel out few things here.", "session_id": 816, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "How they\u2019re the opposite of each other.", "session_id": 816, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "No, we can actually cancel out (a+4) and (a+2)", "session_id": 816, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "To make it simpler, I'll try to put it in a different form.", "session_id": 816, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "Ill put it in the bottom", "session_id": 816, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "As you can see, if you factor out the negative, you can cancel it out.", "session_id": 816, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "Wait but why did we change the signs?", "session_id": 816, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "Because we factored out the negative, so now it became opposite.", "session_id": 816, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "you can do this in the beginning of the equation, or later on.", "session_id": 816, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "Now it reveals that we can cancel out everything on the first part, leaving us with -1.", "session_id": 816, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "Now try evaluating the expression I circled.", "session_id": 816, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "I don\u2019t get it.", "session_id": 816, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "Ok, so do you get why the signs went opposite?", "session_id": 816, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "To cancel it out.", "session_id": 816, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "All of that canceled out equals 1, so", "session_id": 816, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "-1", "session_id": 816, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "Yes exactly", "session_id": 816, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "What I boxed would be the end solution.", "session_id": 816, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "Okay thank you.", "session_id": 816, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "Bye.", "session_id": 816, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "Your welcome! Great job!", "session_id": 816, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "Hello How are you?", "session_id": 864, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "hey thanks for joinin me!", "session_id": 864, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "You are welcome. How can I help?", "session_id": 864, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "OK I will copy to other screen Pls wait", "session_id": 864, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "ok no worries!!", "session_id": 864, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "OK I will rerad it now", "session_id": 864, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "=)", "session_id": 864, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 864, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "Question: Do you think you are supposed to just use trmnsofrmations and then ge the ordered parirs later?", "session_id": 864, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "getr*", "session_id": 864, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "get*", "session_id": 864, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "yeahh so basically they want me to start off with a table for the parent functoin and then use those points to get the transformed form of the new graph (like take those values and do all the transformations to them)", "session_id": 864, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "function*", "session_id": 864, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 864, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "So where should we start?", "session_id": 864, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "lets set up a table for the parent function", "session_id": 864, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "which would be f(x)=log2(x)", "session_id": 864, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "OK what do we think is the parent function?", "session_id": 864, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "OK I agree", "session_id": 864, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "would u like to put the tanle on the whiteboard?", "session_id": 864, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "table*", "session_id": 864, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "sure thing!", "session_id": 864, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "OK go ahead  I will help as needed", "session_id": 864, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "ok but can u take the log of 0 ?", "session_id": 864, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "ohh true true lolll", "session_id": 864, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "or of a nge number?", "session_id": 864, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "neg*", "session_id": 864, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "hmm yeah let me use diff ones", "session_id": 864, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "maybe 1/2  1/4 and 1/8", "session_id": 864, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "OK good", "session_id": 864, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "can u label first column \"x\"?", "session_id": 864, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "yeah my bad!", "session_id": 864, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "I sort of disagree", "session_id": 864, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "I think the left col is x", "session_id": 864, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "and the right col is y   or f(x)  ot y = f(x)", "session_id": 864, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "hmm how so?", "session_id": 864, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "or*", "session_id": 864, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "well we start with an x and then we take its log to base 2", "session_id": 864, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "so I think the first col would usually be x", "session_id": 864, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "ohh ok ok", "session_id": 864, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "and the 2nd col f(x) = logbase2(x)", "session_id": 864, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "can u change that?", "session_id": 864, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "so you want me to rearrange the column names or the values", "session_id": 864, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "no", "session_id": 864, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "jus the column nmes", "session_id": 864, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "the first col will bex   and the 2nd f(x) = log2(x)", "session_id": 864, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "wow you moved those quickly", "session_id": 864, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "ok good", "session_id": 864, "sequence_id": 47, "annotations": []}
{"role": "student", "content": "LOL", "session_id": 864, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "now can u fill in the 2nd column?", "session_id": 864, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "ok go ahead more labeling", "session_id": 864, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "Good", "session_id": 864, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "are you using a stylus to write?", "session_id": 864, "sequence_id": 52, "annotations": []}
{"role": "student", "content": "no my keyboard, which is hard", "session_id": 864, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "you do very well", "session_id": 864, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "OK now can u fill in 2nd col", "session_id": 864, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "1 2 and 4 might be eeasiest to start", "session_id": 864, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 864, "sequence_id": 57, "annotations": []}
{"role": "student", "content": "thank u thank u!", "session_id": 864, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "-2 is fine go ahead", "session_id": 864, "sequence_id": 59, "annotations": []}
{"role": "student", "content": "kk", "session_id": 864, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "excellent", "session_id": 864, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "some confetti", "session_id": 864, "sequence_id": 62, "annotations": []}
{"role": "student", "content": "i love it!", "session_id": 864, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "OK so now do we do the ranformations step by step OR do we go to the \"final function?", "session_id": 864, "sequence_id": 64, "annotations": []}
{"role": "student", "content": "yeah step by step, what do u think", "session_id": 864, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "well I don;t know How do u do Robert in ur course?", "session_id": 864, "sequence_id": 66, "annotations": [{"pii_type": "PERSON", "surrogate": "Robert", "start": 30, "end": 36}]}
{"role": "volunteer", "content": "it*", "session_id": 864, "sequence_id": 67, "annotations": []}
{"role": "student", "content": "yeahh so we usually do it step by step by differentiating the horizontal transformations and the vertical transformations, then we take the values from the table and just do the ramifications", "session_id": 864, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "OK pls show me and I will help if needed", "session_id": 864, "sequence_id": 69, "annotations": []}
{"role": "student", "content": "ok so now i start with the horizontal", "session_id": 864, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "ok good", "session_id": 864, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "I get confused by Oakville", "session_id": 864, "sequence_id": 72, "annotations": [{"pii_type": "LOCATION", "surrogate": "Oakville", "start": 18, "end": 26}]}
{"role": "student", "content": "yeahh since 1/3 means 3x", "session_id": 864, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "do we take the 1/3 first and then shifth left by 2 ?", "session_id": 864, "sequence_id": 74, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 864, "sequence_id": 75, "annotations": []}
{"role": "student", "content": "the stretch first", "session_id": 864, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "what u have is good", "session_id": 864, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "now how do u use that?", "session_id": 864, "sequence_id": 78, "annotations": []}
{"role": "student", "content": "ok", "session_id": 864, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "Maybe you want to make a table", "session_id": 864, "sequence_id": 80, "annotations": []}
{"role": "student", "content": "yeahh", "session_id": 864, "sequence_id": 81, "annotations": []}
{"role": "volunteer", "content": "and maybe you want soem different x values", "session_id": 864, "sequence_id": 82, "annotations": []}
{"role": "volunteer", "content": "I  mean x = 1/4 gives 1/12", "session_id": 864, "sequence_id": 83, "annotations": []}
{"role": "volunteer", "content": "finding log2(2 + 1/12) is not IMO easy", "session_id": 864, "sequence_id": 84, "annotations": []}
{"role": "volunteer", "content": "wait", "session_id": 864, "sequence_id": 85, "annotations": []}
{"role": "volunteer", "content": "I am confused", "session_id": 864, "sequence_id": 86, "annotations": []}
{"role": "volunteer", "content": "why do you pull out the 3", "session_id": 864, "sequence_id": 87, "annotations": []}
{"role": "student", "content": "same lol", "session_id": 864, "sequence_id": 88, "annotations": []}
{"role": "volunteer", "content": "?", "session_id": 864, "sequence_id": 89, "annotations": []}
{"role": "volunteer", "content": "maybe that is OK", "session_id": 864, "sequence_id": 90, "annotations": []}
{"role": "volunteer", "content": "but I am not sure", "session_id": 864, "sequence_id": 91, "annotations": []}
{"role": "student", "content": "bc the stretch of 1/3x is actually 3x", "session_id": 864, "sequence_id": 92, "annotations": []}
{"role": "volunteer", "content": "well yes in the *grpah* there will be a strecth", "session_id": 864, "sequence_id": 93, "annotations": []}
{"role": "student", "content": "and then i just distributed it", "session_id": 864, "sequence_id": 94, "annotations": []}
{"role": "volunteer", "content": "BUT I *think* we need to sue the new f(x) as is", "session_id": 864, "sequence_id": 95, "annotations": []}
{"role": "student", "content": "hmm", "session_id": 864, "sequence_id": 96, "annotations": []}
{"role": "volunteer", "content": "let us think", "session_id": 864, "sequence_id": 97, "annotations": []}
{"role": "volunteer", "content": "x = 0", "session_id": 864, "sequence_id": 98, "annotations": []}
{"role": "student", "content": "yeahh", "session_id": 864, "sequence_id": 99, "annotations": []}
{"role": "volunteer", "content": "is a good vlaue to use for the new function", "session_id": 864, "sequence_id": 100, "annotations": []}
{"role": "volunteer", "content": "maybe also x = 6", "session_id": 864, "sequence_id": 101, "annotations": []}
{"role": "student", "content": "ok", "session_id": 864, "sequence_id": 102, "annotations": []}
{"role": "volunteer", "content": "and x = -3", "session_id": 864, "sequence_id": 103, "annotations": []}
{"role": "volunteer", "content": "why not start with those 3", "session_id": 864, "sequence_id": 104, "annotations": []}
{"role": "volunteer", "content": "see what you think", "session_id": 864, "sequence_id": 105, "annotations": []}
{"role": "student", "content": "ohh", "session_id": 864, "sequence_id": 106, "annotations": []}
{"role": "student", "content": "see with logs transformations r more confusing, but i think i see what ur getting at", "session_id": 864, "sequence_id": 107, "annotations": []}
{"role": "volunteer", "content": "x = 0 will give log2(2) = 1", "session_id": 864, "sequence_id": 108, "annotations": []}
{"role": "volunteer", "content": "wait", "session_id": 864, "sequence_id": 109, "annotations": []}
{"role": "volunteer", "content": "i is jsut the log", "session_id": 864, "sequence_id": 110, "annotations": []}
{"role": "volunteer", "content": "but you need to mult by -1", "session_id": 864, "sequence_id": 111, "annotations": []}
{"role": "volunteer", "content": "ands then add 6", "session_id": 864, "sequence_id": 112, "annotations": []}
{"role": "volunteer", "content": "add 5 *", "session_id": 864, "sequence_id": 113, "annotations": []}
{"role": "student", "content": "ok", "session_id": 864, "sequence_id": 114, "annotations": []}
{"role": "volunteer", "content": "so what will be in 2nd column?", "session_id": 864, "sequence_id": 115, "annotations": []}
{"role": "student", "content": "hmm", "session_id": 864, "sequence_id": 116, "annotations": []}
{"role": "volunteer", "content": "well the log part is 1", "session_id": 864, "sequence_id": 117, "annotations": []}
{"role": "volunteer", "content": "so don;t we have 1(1) + 5?", "session_id": 864, "sequence_id": 118, "annotations": []}
{"role": "volunteer", "content": "Im nea -(1) + 5", "session_id": 864, "sequence_id": 119, "annotations": []}
{"role": "student", "content": "-5", "session_id": 864, "sequence_id": 120, "annotations": []}
{"role": "volunteer", "content": "-1 + 5 = 4", "session_id": 864, "sequence_id": 121, "annotations": []}
{"role": "volunteer", "content": "everyhting to the left of the +1 gives -1", "session_id": 864, "sequence_id": 122, "annotations": []}
{"role": "volunteer", "content": "I mean to the left of the +5", "session_id": 864, "sequence_id": 123, "annotations": []}
{"role": "volunteer", "content": "I need a typign course!!!", "session_id": 864, "sequence_id": 124, "annotations": []}
{"role": "student", "content": "right", "session_id": 864, "sequence_id": 125, "annotations": []}
{"role": "student", "content": "hahaahaha!", "session_id": 864, "sequence_id": 126, "annotations": []}
{"role": "volunteer", "content": "so for x = 0  I htink we get 4", "session_id": 864, "sequence_id": 127, "annotations": []}
{"role": "student", "content": "ok", "session_id": 864, "sequence_id": 128, "annotations": []}
{"role": "volunteer", "content": "Be sure you see that. I sometimes go to fast", "session_id": 864, "sequence_id": 129, "annotations": []}
{"role": "volunteer", "content": "too*", "session_id": 864, "sequence_id": 130, "annotations": []}
{"role": "student", "content": "ok", "session_id": 864, "sequence_id": 131, "annotations": []}
{"role": "volunteer", "content": "now please try x = -3", "session_id": 864, "sequence_id": 132, "annotations": []}
{"role": "volunteer", "content": "I will be quiet LOL", "session_id": 864, "sequence_id": 133, "annotations": []}
{"role": "student", "content": "ok!!!!", "session_id": 864, "sequence_id": 134, "annotations": []}
{"role": "volunteer", "content": "I have to help my wife with the TV", "session_id": 864, "sequence_id": 135, "annotations": []}
{"role": "volunteer", "content": "I will return in 3 or 4 minutes", "session_id": 864, "sequence_id": 136, "annotations": []}
{"role": "student", "content": "ok ok thats fine!!!!!", "session_id": 864, "sequence_id": 137, "annotations": []}
{"role": "volunteer", "content": "Pls work oon the table", "session_id": 864, "sequence_id": 138, "annotations": []}
{"role": "student", "content": "take your time man, ill be here", "session_id": 864, "sequence_id": 139, "annotations": []}
{"role": "volunteer", "content": "I am back", "session_id": 864, "sequence_id": 140, "annotations": []}
{"role": "volunteer", "content": "About twice a month my wife decides the TV is borken", "session_id": 864, "sequence_id": 141, "annotations": []}
{"role": "volunteer", "content": "Modenr elkectronics is better than that", "session_id": 864, "sequence_id": 142, "annotations": []}
{"role": "student", "content": "HAHA I can relate with my mother", "session_id": 864, "sequence_id": 143, "annotations": []}
{"role": "volunteer", "content": "ok table looks good so far", "session_id": 864, "sequence_id": 144, "annotations": []}
{"role": "student", "content": "hows this", "session_id": 864, "sequence_id": 145, "annotations": []}
{"role": "volunteer", "content": "OK I can check your numbers but I suggest you look for x vlaues that give \"nice\" logs", "session_id": 864, "sequence_id": 146, "annotations": []}
{"role": "volunteer", "content": "like try x = 6", "session_id": 864, "sequence_id": 147, "annotations": []}
{"role": "student", "content": "ok", "session_id": 864, "sequence_id": 148, "annotations": []}
{"role": "volunteer", "content": "btw the vlues you have so far are fine", "session_id": 864, "sequence_id": 149, "annotations": []}
{"role": "student", "content": "ok", "session_id": 864, "sequence_id": 150, "annotations": []}
{"role": "student", "content": "u sure", "session_id": 864, "sequence_id": 151, "annotations": []}
{"role": "volunteer", "content": "Yes", "session_id": 864, "sequence_id": 152, "annotations": []}
{"role": "volunteer", "content": "my calculator made a tbel for me", "session_id": 864, "sequence_id": 153, "annotations": []}
{"role": "volunteer", "content": "and u will see why 6 is good", "session_id": 864, "sequence_id": 154, "annotations": []}
{"role": "student", "content": "ohhh ok ok", "session_id": 864, "sequence_id": 155, "annotations": []}
{"role": "volunteer", "content": "you get log2(4)  !!!", "session_id": 864, "sequence_id": 156, "annotations": []}
{"role": "volunteer", "content": "good", "session_id": 864, "sequence_id": 157, "annotations": []}
{"role": "volunteer", "content": "do u see why 6 was a good choice?", "session_id": 864, "sequence_id": 158, "annotations": []}
{"role": "student", "content": "yeah i do", "session_id": 864, "sequence_id": 159, "annotations": []}
{"role": "volunteer", "content": "yes log2(40 is easy", "session_id": 864, "sequence_id": 160, "annotations": []}
{"role": "volunteer", "content": "I mean log2(4)", "session_id": 864, "sequence_id": 161, "annotations": []}
{"role": "student", "content": "right", "session_id": 864, "sequence_id": 162, "annotations": []}
{"role": "volunteer", "content": "OK do you think that is enough points", "session_id": 864, "sequence_id": 163, "annotations": []}
{"role": "student", "content": "wait wait im understanding this now!", "session_id": 864, "sequence_id": 164, "annotations": []}
{"role": "student", "content": "i think this should be enough", "session_id": 864, "sequence_id": 165, "annotations": []}
{"role": "volunteer", "content": "OK one comment", "session_id": 864, "sequence_id": 166, "annotations": []}
{"role": "volunteer", "content": "I was concerned that the y vlaues were not always decresing", "session_id": 864, "sequence_id": 167, "annotations": []}
{"role": "volunteer", "content": "but then I saw that -5 is out of order", "session_id": 864, "sequence_id": 168, "annotations": []}
{"role": "volunteer", "content": "that is OK", "session_id": 864, "sequence_id": 169, "annotations": []}
{"role": "volunteer", "content": "I was just fooled", "session_id": 864, "sequence_id": 170, "annotations": []}
{"role": "student", "content": "yeah want me to fix it", "session_id": 864, "sequence_id": 171, "annotations": []}
{"role": "volunteer", "content": "no", "session_id": 864, "sequence_id": 172, "annotations": []}
{"role": "volunteer", "content": "just be aware of that", "session_id": 864, "sequence_id": 173, "annotations": []}
{"role": "volunteer", "content": "now what would u do next in ur course? Graph these points?", "session_id": 864, "sequence_id": 174, "annotations": []}
{"role": "student", "content": "yeah let me graph it now one sec", "session_id": 864, "sequence_id": 175, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 864, "sequence_id": 176, "annotations": []}
{"role": "student", "content": "wait let me put this in order my desmos is glitching", "session_id": 864, "sequence_id": 177, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 864, "sequence_id": 178, "annotations": []}
{"role": "volunteer", "content": "BTW do u know how to use sliders in Geoffrey?", "session_id": 864, "sequence_id": 179, "annotations": [{"pii_type": "PERSON", "surrogate": "Geoffrey", "start": 36, "end": 44}]}
{"role": "student", "content": "i am not a wiz at desmos", "session_id": 864, "sequence_id": 180, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 864, "sequence_id": 181, "annotations": []}
{"role": "volunteer", "content": "just as an aside", "session_id": 864, "sequence_id": 182, "annotations": []}
{"role": "volunteer", "content": "you could use sliders for the 1/3  the 2 and the 5  and vary their vlaues", "session_id": 864, "sequence_id": 183, "annotations": []}
{"role": "volunteer", "content": "the graph looks good", "session_id": 864, "sequence_id": 184, "annotations": []}
{"role": "volunteer", "content": "I sued my latest new claucltor", "session_id": 864, "sequence_id": 185, "annotations": []}
{"role": "volunteer", "content": "but your grpah is great", "session_id": 864, "sequence_id": 186, "annotations": []}
{"role": "student", "content": "thank uuuu", "session_id": 864, "sequence_id": 187, "annotations": []}
{"role": "volunteer", "content": "especially the way it shows the points you used", "session_id": 864, "sequence_id": 188, "annotations": []}
{"role": "student", "content": "yeah yeah", "session_id": 864, "sequence_id": 189, "annotations": []}
{"role": "student", "content": "let me draw the asymtpote", "session_id": 864, "sequence_id": 190, "annotations": []}
{"role": "volunteer", "content": "I am not sure it really has o ne", "session_id": 864, "sequence_id": 191, "annotations": []}
{"role": "student", "content": "yeah at y = 5", "session_id": 864, "sequence_id": 192, "annotations": []}
{"role": "volunteer", "content": "is that the red line?", "session_id": 864, "sequence_id": 193, "annotations": []}
{"role": "student", "content": "yeahhh", "session_id": 864, "sequence_id": 194, "annotations": []}
{"role": "volunteer", "content": "but can a gprah cross an asymptote?", "session_id": 864, "sequence_id": 195, "annotations": []}
{"role": "student", "content": "no", "session_id": 864, "sequence_id": 196, "annotations": []}
{"role": "student", "content": "the scale is off since i spaced it out", "session_id": 864, "sequence_id": 197, "annotations": []}
{"role": "volunteer", "content": "i think the log has no horiz asy", "session_id": 864, "sequence_id": 198, "annotations": []}
{"role": "volunteer", "content": "at x = 90 the grpah changes sing I think", "session_id": 864, "sequence_id": 199, "annotations": []}
{"role": "volunteer", "content": "sign*", "session_id": 864, "sequence_id": 200, "annotations": []}
{"role": "volunteer", "content": "try extending x axis to about 110 units", "session_id": 864, "sequence_id": 201, "annotations": []}
{"role": "student", "content": "wait wait", "session_id": 864, "sequence_id": 202, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 864, "sequence_id": 203, "annotations": []}
{"role": "student", "content": "my bad i messed up", "session_id": 864, "sequence_id": 204, "annotations": []}
{"role": "student", "content": "its vertical asympotoes here", "session_id": 864, "sequence_id": 205, "annotations": []}
{"role": "volunteer", "content": "you learn that way", "session_id": 864, "sequence_id": 206, "annotations": []}
{"role": "student", "content": "the transformed one has one at -6", "session_id": 864, "sequence_id": 207, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 864, "sequence_id": 208, "annotations": []}
{"role": "volunteer", "content": "but ques says horiz", "session_id": 864, "sequence_id": 209, "annotations": []}
{"role": "student", "content": "yeah its wrong idk why they didnt catch that", "session_id": 864, "sequence_id": 210, "annotations": []}
{"role": "volunteer", "content": "well are these questions for a textbook?", "session_id": 864, "sequence_id": 211, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 864, "sequence_id": 212, "annotations": []}
{"role": "volunteer", "content": "I think there is vert asy at x = -6", "session_id": 864, "sequence_id": 213, "annotations": []}
{"role": "volunteer", "content": "and ur grpah agrees", "session_id": 864, "sequence_id": 214, "annotations": []}
{"role": "student", "content": "yeah and the parent function had it at x = 0", "session_id": 864, "sequence_id": 215, "annotations": []}
{"role": "volunteer", "content": "I think that makes sense", "session_id": 864, "sequence_id": 216, "annotations": []}
{"role": "volunteer", "content": "becuase when x = -6 we have log(0) whic is not sllowed", "session_id": 864, "sequence_id": 217, "annotations": []}
{"role": "student", "content": "yeahhh", "session_id": 864, "sequence_id": 218, "annotations": []}
{"role": "volunteer", "content": "for x < -6  we have log of neg number  !!!", "session_id": 864, "sequence_id": 219, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 864, "sequence_id": 220, "annotations": []}
{"role": "volunteer", "content": "and BTW the parent function has asymptote at x = 0", "session_id": 864, "sequence_id": 221, "annotations": []}
{"role": "volunteer", "content": "Now if we shift left 2 and then strecth by 3 we are at -6  !!!!", "session_id": 864, "sequence_id": 222, "annotations": []}
{"role": "volunteer", "content": "I have 7 more minutes beofre I must get ready for be", "session_id": 864, "sequence_id": 223, "annotations": []}
{"role": "student", "content": "yeahhh", "session_id": 864, "sequence_id": 224, "annotations": []}
{"role": "volunteer", "content": "bed*", "session_id": 864, "sequence_id": 225, "annotations": []}
{"role": "student", "content": "let me write all this down befoer you go", "session_id": 864, "sequence_id": 226, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 864, "sequence_id": 227, "annotations": []}
{"role": "student", "content": "DONE", "session_id": 864, "sequence_id": 228, "annotations": []}
{"role": "student", "content": "thank you thank you David for all you have done", "session_id": 864, "sequence_id": 229, "annotations": [{"pii_type": "PERSON", "surrogate": "David", "start": 20, "end": 25}]}
{"role": "student", "content": "now get your rest that you deserve!", "session_id": 864, "sequence_id": 230, "annotations": []}
{"role": "volunteer", "content": "You are welcome This was fun", "session_id": 864, "sequence_id": 231, "annotations": []}
{"role": "student", "content": "you just made me 10x time smarter", "session_id": 864, "sequence_id": 232, "annotations": []}
{"role": "student", "content": "haha it was", "session_id": 864, "sequence_id": 233, "annotations": []}
{"role": "volunteer", "content": "Well you jsut *discovered* how smart you are !!!", "session_id": 864, "sequence_id": 234, "annotations": []}
{"role": "student", "content": "\ud83d\ude00\ud83d\ude00\ud83d\ude00\ud83d\ude01", "session_id": 864, "sequence_id": 235, "annotations": []}
{"role": "student", "content": "take care now, talk to you again hopefully!", "session_id": 864, "sequence_id": 236, "annotations": []}
{"role": "volunteer", "content": "Yes hope to \"see\" you again", "session_id": 864, "sequence_id": 237, "annotations": []}
{"role": "volunteer", "content": "BYE BYE", "session_id": 864, "sequence_id": 238, "annotations": []}
{"role": "student", "content": "Sarah", "session_id": 864, "sequence_id": 239, "annotations": [{"pii_type": "PERSON", "surrogate": "Sarah", "start": 0, "end": 5}]}
{"role": "student", "content": "Hey can you help me", "session_id": 868, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "Hi Maya! I'm David, nice to meet you :)", "session_id": 868, "sequence_id": 1, "annotations": [{"pii_type": "PERSON", "surrogate": "Maya", "start": 3, "end": 7}, {"pii_type": "PERSON", "surrogate": "David", "start": 13, "end": 18}]}
{"role": "volunteer", "content": "Of course I can help! What's the problem?", "session_id": 868, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "Nice to meat you too! i recognize your name lol", "session_id": 868, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "nvm\\", "session_id": 868, "sequence_id": 4, "annotations": []}
{"role": "student", "content": ":D", "session_id": 868, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "Oh were you able to solve the problem? Or", "session_id": 868, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "oh noo i was just saying i like your name", "session_id": 868, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "is it Korean", "session_id": 868, "sequence_id": 8, "annotations": [{"pii_type": "NRP", "surrogate": "Korean", "start": 6, "end": 12}]}
{"role": "volunteer", "content": "Oh that part lol", "session_id": 868, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "sorryyy", "session_id": 868, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "No, it's an French name :) But my Turkish friends have told me it means food if I remember correctly in one of the languages though?", "session_id": 868, "sequence_id": 11, "annotations": [{"pii_type": "NRP", "surrogate": "French", "start": 12, "end": 18}, {"pii_type": "NRP", "surrogate": "Turkish", "start": 34, "end": 41}]}
{"role": "student", "content": "Yup there right lol", "session_id": 868, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "You're good :) whenever you're ready, upload or write the problem!", "session_id": 868, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "i have 49 assignments btw", "session_id": 868, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "Ooh that's a lot...I won't be able to help with all, but is there a common topic among them, or one you're especially struggling with?", "session_id": 868, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "yes:(", "session_id": 868, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "Okay, what's the problem about?", "session_id": 868, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "Or like an example problem", "session_id": 868, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "If you're still struggling when you get back don't hesitate to reach out!", "session_id": 868, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "hi there", "session_id": 918, "sequence_id": 0, "annotations": [{"pii_type": "LOCATION", "surrogate": "there", "start": 3, "end": 8}]}
{"role": "volunteer", "content": "Welcome to your 1st Maya's session!", "session_id": 918, "sequence_id": 1, "annotations": [{"pii_type": "PERSON", "surrogate": "Maya's", "start": 20, "end": 26}]}
{"role": "student", "content": "hi", "session_id": 918, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "I need help with interior angles of polygons", "session_id": 918, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 918, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "how do I find the sum of the interior angles of a heptagon", "session_id": 918, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "how do you determine what that sum should be?", "session_id": 918, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "I put some info on the board", "session_id": 918, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "ok", "session_id": 918, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "are you asking how to know what that sum should be?", "session_id": 918, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "yes", "session_id": 918, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "how many sides does a heptagon have?", "session_id": 918, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "idk", "session_id": 918, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "you need to know that to answer this. heptagon has 7 sides", "session_id": 918, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "so in the formula, n=7", "session_id": 918, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "what is n-2?", "session_id": 918, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "ok thank you", "session_id": 918, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "yw", "session_id": 918, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "is that the only math you need help with?", "session_id": 918, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "no i need help with more problems too", "session_id": 918, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "ok. let's finish this one, first", "session_id": 918, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "please finish it on the whiteboard", "session_id": 918, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "correct", "session_id": 918, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "the next one is: the sum of the interior angles of a convex polygon 1080 degrees. classify the polygonby the number of sides", "session_id": 918, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "solve for n, then name the polygon", "session_id": 918, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "I put the equation to be solved on the board", "session_id": 918, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "does that equation make sense to you?", "session_id": 918, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "yes just give me a second", "session_id": 918, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "so it has 8 sides", "session_id": 918, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "right?", "session_id": 918, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 918, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "what shape is that?", "session_id": 918, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "octogon", "session_id": 918, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 918, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "spelling is octagon", "session_id": 918, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "right", "session_id": 918, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "find the measure of each interior angle of a decagon", "session_id": 918, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "deca means 10 right", "session_id": 918, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 918, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "ok", "session_id": 918, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "how do i do that", "session_id": 918, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "same formula we've been using for the other questions", "session_id": 918, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "ok", "session_id": 918, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "ok i got it", "session_id": 918, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "correct", "session_id": 918, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "how do i get the measure of each individual angle", "session_id": 918, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "do i just divide it by 10", "session_id": 918, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 918, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "since there are 10 angles", "session_id": 918, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "ok thanks", "session_id": 918, "sequence_id": 49, "annotations": []}
{"role": "student", "content": "so 144 degrees per angle", "session_id": 918, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "if it is a regular decagon where all angles are equal", "session_id": 918, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "yep it is", "session_id": 918, "sequence_id": 52, "annotations": []}
{"role": "student", "content": "an interior angle of a polygon 150 degrees. classify the polygon by the number of sides and find the sum of the measures of its interior angles", "session_id": 918, "sequence_id": 53, "annotations": []}
{"role": "student", "content": "its a regular polygon btw", "session_id": 918, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "this one's a little harder. can I clear the board?", "session_id": 918, "sequence_id": 55, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 918, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "we're going to write the sum of the interior angles in 2 different ways, using n as the number of sides.", "session_id": 918, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "what's one way to do that?", "session_id": 918, "sequence_id": 58, "annotations": []}
{"role": "student", "content": "i dont know", "session_id": 918, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "we've used 2 different ways already", "session_id": 918, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "what's the sum of the interior angles of a polygon with n sides?", "session_id": 918, "sequence_id": 61, "annotations": []}
{"role": "student", "content": "oh (n-2) 180", "session_id": 918, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "(formula containing n)", "session_id": 918, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "right", "session_id": 918, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "polygon with n sides has how many interior angles?", "session_id": 918, "sequence_id": 65, "annotations": []}
{"role": "student", "content": "??", "session_id": 918, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "polygon with n sides has how many vertices?", "session_id": 918, "sequence_id": 67, "annotations": []}
{"role": "student", "content": "unknown?", "session_id": 918, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "no", "session_id": 918, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "n", "session_id": 918, "sequence_id": 70, "annotations": []}
{"role": "student", "content": "im confused", "session_id": 918, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "triangle has 3 sides, 3 vertices, 3 interior angles, right?", "session_id": 918, "sequence_id": 72, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 918, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "rectangle has 4 of each", "session_id": 918, "sequence_id": 74, "annotations": []}
{"role": "student", "content": "oh", "session_id": 918, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "pentagon has 5 of each", "session_id": 918, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "so, polygon with n sides has how many interior angles?", "session_id": 918, "sequence_id": 77, "annotations": []}
{"role": "student", "content": "n", "session_id": 918, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "right", "session_id": 918, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "n angles, each one 150 degrees", "session_id": 918, "sequence_id": 80, "annotations": []}
{"role": "volunteer", "content": "what's the total of all those angles?", "session_id": 918, "sequence_id": 81, "annotations": []}
{"role": "student", "content": "(150n)", "session_id": 918, "sequence_id": 82, "annotations": []}
{"role": "volunteer", "content": "use a different formula", "session_id": 918, "sequence_id": 83, "annotations": []}
{"role": "volunteer", "content": "n angles, each one 150 degrees. just use tht", "session_id": 918, "sequence_id": 84, "annotations": []}
{"role": "student", "content": "what different formula?", "session_id": 918, "sequence_id": 85, "annotations": []}
{"role": "volunteer", "content": "*that", "session_id": 918, "sequence_id": 86, "annotations": []}
{"role": "volunteer", "content": "like when you divided total by 10 to get individual interior angle", "session_id": 918, "sequence_id": 87, "annotations": []}
{"role": "volunteer", "content": "adding 150 n times is the same as 150n, right?", "session_id": 918, "sequence_id": 88, "annotations": []}
{"role": "student", "content": "im so cconfused", "session_id": 918, "sequence_id": 89, "annotations": []}
{"role": "volunteer", "content": "measure of an interior angle times the number of angles gives you the total", "session_id": 918, "sequence_id": 90, "annotations": []}
{"role": "student", "content": "oh", "session_id": 918, "sequence_id": 91, "annotations": []}
{"role": "volunteer", "content": "two different formulas for the total of the interior angles, and they have to equal each other", "session_id": 918, "sequence_id": 92, "annotations": []}
{"role": "volunteer", "content": "solve the equation on the board to find n", "session_id": 918, "sequence_id": 93, "annotations": []}
{"role": "volunteer", "content": "are you still here?", "session_id": 918, "sequence_id": 94, "annotations": []}
{"role": "student", "content": "yeah hold on a sec", "session_id": 918, "sequence_id": 95, "annotations": []}
{"role": "volunteer", "content": "it would help me if you did your work on the board where I can see it", "session_id": 918, "sequence_id": 96, "annotations": []}
{"role": "student", "content": "sorry i have to go", "session_id": 918, "sequence_id": 97, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 918, "sequence_id": 98, "annotations": []}
{"role": "student", "content": "thank you", "session_id": 918, "sequence_id": 99, "annotations": []}
{"role": "volunteer", "content": "yw", "session_id": 918, "sequence_id": 100, "annotations": []}
{"role": "volunteer", "content": "Ready", "session_id": 926, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "hi", "session_id": 926, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "What's the first question?", "session_id": 926, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "I just need to solve the chart", "session_id": 926, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "fill in the blanksw", "session_id": 926, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "The combined number of students who use Vans and Trucks is 40", "session_id": 926, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "Without additional information (such as a specific ratio or a value for one of the other categories), the individual values for Vans and Trucks cannot be determined separately.", "session_id": 926, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "oh... thats all there is for this problem \ud83d\ude2d", "session_id": 926, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "anything else for today?", "session_id": 926, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "no, thank you", "session_id": 926, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "bye", "session_id": 926, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "bye", "session_id": 926, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "Hi, I'm Alex", "session_id": 924, "sequence_id": 0, "annotations": [{"pii_type": "PERSON", "surrogate": "Alex", "start": 8, "end": 12}]}
{"role": "volunteer", "content": "What do you need help with", "session_id": 924, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "sovling linear equations please", "session_id": 924, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "alright", "session_id": 924, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "how to solve them?", "session_id": 924, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "or graphing", "session_id": 924, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "both", "session_id": 924, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "alright", "session_id": 924, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "do you know what slope intercept form and standard form are", "session_id": 924, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "no", "session_id": 924, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "what do you know about linear equations", "session_id": 924, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "or are you completely new to it", "session_id": 924, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "new", "session_id": 924, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "alright", "session_id": 924, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "basically a linear equation is the equation of a line, where each variable(x and y) have a power of 1", "session_id": 924, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "the equation models the relation between x and y", "session_id": 924, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "in our example, the equation y=2x+4 is like a rule", "session_id": 924, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "like a machine actually", "session_id": 924, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "x is the input, or what we give to the equation", "session_id": 924, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "then we put it through the rule", "session_id": 924, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "so if x is 2, then we do 2 times 2 plus 4", "session_id": 924, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "and this gets us our result y", "session_id": 924, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "how is it so far", "session_id": 924, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "i understand a bit", "session_id": 924, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "is there anything i should clarify", "session_id": 924, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "nope", "session_id": 924, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "alright", "session_id": 924, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "so basically our equation is like a rule to take an input x and get a result y", "session_id": 924, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "you know how graphs work right", "session_id": 924, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "yes", "session_id": 924, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "do you know how to graph equations", "session_id": 924, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "yes", "session_id": 924, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "alright, so in our example equation, what do you think are the points for our line", "session_id": 924, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "(2,4?)", "session_id": 924, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "or I would need a line to see if I'm wrong", "session_id": 924, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 924, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "so you know how a point is graphed right", "session_id": 924, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "yes", "session_id": 924, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "theres an x coordinate and a y coordinate", "session_id": 924, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "so in our equation", "session_id": 924, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "we have our x and y", "session_id": 924, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "however, the values for x and y are in the table", "session_id": 924, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "try to find the points for our equation again", "session_id": 924, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "using the table", "session_id": 924, "sequence_id": 43, "annotations": []}
{"role": "student", "content": "(0,4)", "session_id": 924, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "(1,6)", "session_id": 924, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "(2,6)", "session_id": 924, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "2, 8 but yeah the others are right", "session_id": 924, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "so for our equation y=2x+4, the 2 and 4 dont represent coordinates", "session_id": 924, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "2 is the m and 4 is the b?", "session_id": 924, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "yeah thats right", "session_id": 924, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "good job", "session_id": 924, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "the b moves the graph around", "session_id": 924, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "up down left right", "session_id": 924, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "the m makes the line more or less steep", "session_id": 924, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "do you know what the y and x intercepts are", "session_id": 924, "sequence_id": 55, "annotations": []}
{"role": "student", "content": "no", "session_id": 924, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "alright", "session_id": 924, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "ive got to go right now, Horizon High or youtube", "session_id": 924, "sequence_id": 58, "annotations": [{"pii_type": "SCHOOL", "surrogate": "Horizon High", "start": 25, "end": 37}]}
{"role": "student", "content": "hi", "session_id": 921, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "Hi there!", "session_id": 921, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "What do you need help for today?", "session_id": 921, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "can u pls help me with my homework", "session_id": 921, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "yes Liam!", "session_id": 921, "sequence_id": 4, "annotations": [{"pii_type": "PERSON", "surrogate": "Liam", "start": 4, "end": 8}]}
{"role": "student", "content": "I don't really understand it and it due tomarrow", "session_id": 921, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "you can feel free to send it in chat or on the whiteboard!", "session_id": 921, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "and I only have a few min to work on it", "session_id": 921, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "like 30", "session_id": 921, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "ok ty", "session_id": 921, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "let me just get it ready", "session_id": 921, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "i see!", "session_id": 921, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "it's okay we'll work through as many as possible", "session_id": 921, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "ye", "session_id": 921, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "umm its kinda a long problom", "session_id": 921, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "I will try to write it down", "session_id": 921, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "thats not a problem, you cant send it or upload a picture!", "session_id": 921, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "at grocery store A, 5 cans of baked beans cost $3.45. At grocery store B, 7 Cans cost 5.15. at store C, 4 cans cost 2.46. at store D, 6 cans cost 4.00. How much money would you save if you bought 20 cans from store C than if you bought 20 cans from store A.", "session_id": 921, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "sorry it took a long time", "session_id": 921, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "I had too write what was on my paper", "session_id": 921, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "no worries! lets work through this together I'll try and use the whiteboard!", "session_id": 921, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "ok", "session_id": 921, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "ty", "session_id": 921, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "of course!", "session_id": 921, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "does this make sense?", "session_id": 921, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "ask me if you have any questions!", "session_id": 921, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "umm hold on", "session_id": 921, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "let me see", "session_id": 921, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "Basically firsly we divided the price of the cans with the amount of cans, that gives u the price per can.", "session_id": 921, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "oh", "session_id": 921, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "then we took the price per can for both store C and A and multipled it with 20 to see how much it costs for 20 cans at each store", "session_id": 921, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "and that gave us 12.3 dollars for store C to buy 20 cans", "session_id": 921, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "and 13.8 dollars at sore A to buy 20 cans", "session_id": 921, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "so then we just check the difference which its 1.5 dollars here, so you save $1.5 dollars", "session_id": 921, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "oh ok", "session_id": 921, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "that kinda makes sense", "session_id": 921, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "but can u pls explain the first part I not really understand it", "session_id": 921, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "what part is confusing I can explain!", "session_id": 921, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "okay so look at the board", "session_id": 921, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "k", "session_id": 921, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "so for store A it costs 3.45 to buy 5 cans right?", "session_id": 921, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "ye", "session_id": 921, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "but for store C it gives us the price for 4 cans and not 5", "session_id": 921, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "so we have to first find out how much it costs for one single can at both stores", "session_id": 921, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "does that makes sense up to here?", "session_id": 921, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "ye", "session_id": 921, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "so in order to do that", "session_id": 921, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "we take the price for 5 cans at store A which is 3.45 and divide it by 5", "session_id": 921, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "that gives us the price for a single can at that store", "session_id": 921, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "oh", "session_id": 921, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "and we take the price for 4 cans at store C which is 2.46 and divide that by 4", "session_id": 921, "sequence_id": 50, "annotations": []}
{"role": "student", "content": "so that would be this part", "session_id": 921, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "giving us the price of a single can at store C", "session_id": 921, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "thats the division", "session_id": 921, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "ok lemme explain", "session_id": 921, "sequence_id": 54, "annotations": []}
{"role": "student", "content": "ok", "session_id": 921, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "The 0.69 is the cost for only one can", "session_id": 921, "sequence_id": 56, "annotations": []}
{"role": "student", "content": "oh", "session_id": 921, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "yeah and thne the same for store C", "session_id": 921, "sequence_id": 58, "annotations": []}
{"role": "student", "content": "oh ok", "session_id": 921, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "so when you do the thing on your paper this is how", "session_id": 921, "sequence_id": 60, "annotations": []}
{"role": "student", "content": "that makes sense", "session_id": 921, "sequence_id": 61, "annotations": []}
{"role": "student", "content": "ok", "session_id": 921, "sequence_id": 62, "annotations": []}
{"role": "student", "content": "ty", "session_id": 921, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "thats basically how you do it!", "session_id": 921, "sequence_id": 64, "annotations": []}
{"role": "student", "content": "can we work on the next one now", "session_id": 921, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "of course! you can take a pictue or write it down and yes we can move onto the next", "session_id": 921, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "let me know when ur ready", "session_id": 921, "sequence_id": 67, "annotations": []}
{"role": "student", "content": "I only have like 5, 6 , 7 min left", "session_id": 921, "sequence_id": 68, "annotations": []}
{"role": "student", "content": "ok", "session_id": 921, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "thats fine lets try and do it quickly!", "session_id": 921, "sequence_id": 70, "annotations": []}
{"role": "student", "content": "Emily drove from New York to Chicago. she drove 284 miles at a constant speed of 58 mph. how long did it take Emily to complete the trip", "session_id": 921, "sequence_id": 71, "annotations": [{"pii_type": "PERSON", "surrogate": "Emily", "start": 0, "end": 5}, {"pii_type": "LOCATION", "surrogate": "New York", "start": 17, "end": 25}, {"pii_type": "LOCATION", "surrogate": "Chicago", "start": 29, "end": 36}, {"pii_type": "PERSON", "surrogate": "Emily", "start": 110, "end": 115}]}
{"role": "volunteer", "content": "is that all the information they gave u?", "session_id": 921, "sequence_id": 72, "annotations": []}
{"role": "student", "content": "ye", "session_id": 921, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "okay so for this there is a formula to use", "session_id": 921, "sequence_id": 74, "annotations": []}
{"role": "volunteer", "content": "lets look at the board the formula ill write it", "session_id": 921, "sequence_id": 75, "annotations": []}
{"role": "student", "content": "ok", "session_id": 921, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "so to find out how long we have to take how far she travelled and divide it with how fast.", "session_id": 921, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "now im gonna plug in the numbers from ur question", "session_id": 921, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "when u divide 284 with 58 u get a longer number but we can shorten it to just 4.89", "session_id": 921, "sequence_id": 79, "annotations": []}
{"role": "student", "content": "ok", "session_id": 921, "sequence_id": 80, "annotations": []}
{"role": "volunteer", "content": "so that means that it took her 4 hours and then we have the decimals", "session_id": 921, "sequence_id": 81, "annotations": []}
{"role": "volunteer", "content": "we take the decimals and multiply it with 60", "session_id": 921, "sequence_id": 82, "annotations": []}
{"role": "volunteer", "content": "which gives us 54 minutes", "session_id": 921, "sequence_id": 83, "annotations": []}
{"role": "volunteer", "content": "so the answer is 4 hours and 54 minutes!", "session_id": 921, "sequence_id": 84, "annotations": []}
{"role": "student", "content": "ty", "session_id": 921, "sequence_id": 85, "annotations": []}
{"role": "volunteer", "content": "ofc!", "session_id": 921, "sequence_id": 86, "annotations": []}
{"role": "student", "content": "I have to go now can we work on this later", "session_id": 921, "sequence_id": 87, "annotations": []}
{"role": "volunteer", "content": "as long as u remember the formula its easy!", "session_id": 921, "sequence_id": 88, "annotations": []}
{"role": "student", "content": "Liam bye", "session_id": 921, "sequence_id": 89, "annotations": [{"pii_type": "PERSON", "surrogate": "Liam", "start": 0, "end": 4}]}
{"role": "volunteer", "content": "and yes have a good evening!", "session_id": 921, "sequence_id": 90, "annotations": []}
{"role": "student", "content": "ok", "session_id": 921, "sequence_id": 91, "annotations": []}
{"role": "volunteer", "content": "byee", "session_id": 921, "sequence_id": 92, "annotations": []}
{"role": "volunteer", "content": "Hi", "session_id": 988, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "how can i help you", "session_id": 988, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "i need to solve a math question", "session_id": 988, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "and i dont understand", "session_id": 988, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "ok do you wanna type it or just take a picture of it and load it onto the whiteboard", "session_id": 988, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "i'll try to take a pic", "session_id": 988, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 988, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "i'll just type it actually", "session_id": 988, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 988, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "ok im gonna solve it on paper first then walk you through it", "session_id": 988, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "ok", "session_id": 988, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "does it tell you the measurement of 1?", "session_id": 988, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "or only that measurement 2 is 2/3", "session_id": 988, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "because its gonna have x in it if not", "session_id": 988, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "it doesnt say the measurement of 1", "session_id": 988, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 988, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "so measurement one we will say is 1", "session_id": 988, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "1 is x", "session_id": 988, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "were gonna call it x", "session_id": 988, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "and measurement 2", "session_id": 988, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "is 2/3 of x", "session_id": 988, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "so measurement 2 would be", "session_id": 988, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "2/3 * x", "session_id": 988, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "which would be 2x/3", "session_id": 988, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "thats the only way you can do it without having measurement 1, you would just call it x", "session_id": 988, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "oh", "session_id": 988, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "ok", "session_id": 988, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "have you ever learned it like that in class?", "session_id": 988, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "or is this your first time doing a problem like this", "session_id": 988, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "we're learning similar but with numbers", "session_id": 988, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "not like", "session_id": 988, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "unknown", "session_id": 988, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "if that makes sense", "session_id": 988, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "my teacher said what the answer was in class but i forgot what she said", "session_id": 988, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "ohhh", "session_id": 988, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "yeah i dont think ur teacher is gonna give you problems like this one", "session_id": 988, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "ok", "session_id": 988, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "ones with numbers you should practice more or ask her what she meant about this problem and if similar ones would be on tests", "session_id": 988, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "ok", "session_id": 988, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "for linear equations and stuff", "session_id": 988, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "do you know if there's other ways to solve it besides disbrutive or smth property", "session_id": 988, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "like", "session_id": 988, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "2(13x+2) or equations with more numbers", "session_id": 988, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "yeah there are many other ways to do it but im not sure if they would be easier for you unless the way you do it already doesnt work well for you", "session_id": 988, "sequence_id": 43, "annotations": []}
{"role": "student", "content": "oh ok", "session_id": 988, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "i would do it the way your teacher taught you in class because many teachers dont like you doing it another way other than what they taught", "session_id": 988, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "but if you want i can show you", "session_id": 988, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "yeah can you show me", "session_id": 988, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "ok so first we can do the elimination method", "session_id": 988, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "do you ever get questions like this", "session_id": 988, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "2x + 3y = 16 \n4x - 3y = 8", "session_id": 988, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "like linear ones like this", "session_id": 988, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "only works for these", "session_id": 988, "sequence_id": 52, "annotations": []}
{"role": "student", "content": "we're not really working on those", "session_id": 988, "sequence_id": 53, "annotations": []}
{"role": "student", "content": "but i'd like to learn still", "session_id": 988, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 988, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "2(13x+2)", "session_id": 988, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "this style", "session_id": 988, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "is more what you get right", "session_id": 988, "sequence_id": 58, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 988, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "for that type of question", "session_id": 988, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "There are other ways, but i really feel like distributive is the simplest and easiest way to get the answer", "session_id": 988, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "so if you can do that method really good you should be fine", "session_id": 988, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "i can practice it with you if you want if you think you need more practice with it", "session_id": 988, "sequence_id": 63, "annotations": []}
{"role": "student", "content": "ok", "session_id": 988, "sequence_id": 64, "annotations": []}
{"role": "student", "content": "its fine", "session_id": 988, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "ok do you want to practice anything?", "session_id": 988, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "or is that all your questions", "session_id": 988, "sequence_id": 67, "annotations": []}
{"role": "student", "content": "i have one more", "session_id": 988, "sequence_id": 68, "annotations": []}
{"role": "student", "content": "ill write it out", "session_id": 988, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 988, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "ok so first", "session_id": 988, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "we distribute the 3 and the 5 on both sides", "session_id": 988, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "so we get", "session_id": 988, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "after distributing to remove the ()", "session_id": 988, "sequence_id": 74, "annotations": []}
{"role": "volunteer", "content": "next", "session_id": 988, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "we want all x's on one side so we do", "session_id": 988, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "-5x", "session_id": 988, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "then we get rid of the -30", "session_id": 988, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "so we do +30", "session_id": 988, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "then divide by 4 to get x = 20", "session_id": 988, "sequence_id": 80, "annotations": []}
{"role": "volunteer", "content": "then", "session_id": 988, "sequence_id": 81, "annotations": []}
{"role": "volunteer", "content": "the perimeter of a pentagon was the equation 5(x+10)", "session_id": 988, "sequence_id": 82, "annotations": []}
{"role": "volunteer", "content": "did you understand each step i can repeat anything you want or didnt understand that well", "session_id": 988, "sequence_id": 83, "annotations": []}
{"role": "student", "content": "its okay i understand it", "session_id": 988, "sequence_id": 84, "annotations": []}
{"role": "volunteer", "content": "ok good", "session_id": 988, "sequence_id": 85, "annotations": []}
{"role": "volunteer", "content": "and you understand why its 5(x+10) for the perimeter of a pentagon equation and not 3(3x-10) right", "session_id": 988, "sequence_id": 86, "annotations": []}
{"role": "student", "content": "yes", "session_id": 988, "sequence_id": 87, "annotations": []}
{"role": "volunteer", "content": "ok good is that all?", "session_id": 988, "sequence_id": 88, "annotations": []}
{"role": "student", "content": "yes", "session_id": 988, "sequence_id": 89, "annotations": []}
{"role": "student", "content": "thank you so much", "session_id": 988, "sequence_id": 90, "annotations": []}
{"role": "volunteer", "content": "np have a good night", "session_id": 988, "sequence_id": 91, "annotations": []}
{"role": "volunteer", "content": "Hi, how are you", "session_id": 951, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "good", "session_id": 951, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "I got my mic on. You may not be able to, but I've got it on.", "session_id": 951, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "ok", "session_id": 951, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "that's the problem", "session_id": 951, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 951, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "I find it useful to write out the first few terms of a series to help me understand what's going on.", "session_id": 951, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "So let's, let's try to do that. Let's plug in i equals 1, do it. Let's get the first few terms uh", "session_id": 951, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "and so forth and see what happens.", "session_id": 951, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "Right.", "session_id": 951, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "So we'll get", "session_id": 951, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "for the first term, we should get 0, right? So let's go down below and", "session_id": 951, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "so we get 0", "session_id": 951, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "+ 1", "session_id": 951, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "and the next one will be uh", "session_id": 951, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "4, right", "session_id": 951, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "And the next one will be", "session_id": 951, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "uh 9, right.", "session_id": 951, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "all the way up to the last one, which will be 19 squad, which is", "session_id": 951, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "let me see what that is", "session_id": 951, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "19 square", "session_id": 951, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "361.", "session_id": 951, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "is there a faster way?", "session_id": 951, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "OK. So how does that help us with that at all. Um,", "session_id": 951, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "instead of manually adding", "session_id": 951, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "are you supposed to do it with a formula, presumably?", "session_id": 951, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "yes", "session_id": 951, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "OK.", "session_id": 951, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "So, let me look at this for a moment. I got 0", "session_id": 951, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "+ 1 + 4.", "session_id": 951, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "+ 9 plus 16. So it looks like we've got squares", "session_id": 951, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "yes", "session_id": 951, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "The squares of the numbers", "session_id": 951, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "that we're adding up", "session_id": 951, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "from uh", "session_id": 951, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "0 to 19, right?", "session_id": 951, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "So, 02 + 12", "session_id": 951, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "+ 22", "session_id": 951, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "+ 32 all the way up to", "session_id": 951, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "19", "session_id": 951, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "square", "session_id": 951, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "So, let's see how that can help us.", "session_id": 951, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "Um", "session_id": 951, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "are you allowed to just look up that formula or do you have to derive it", "session_id": 951, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "Uh, can you rely on another formula that has already been established for", "session_id": 951, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "we can look it up", "session_id": 951, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "a combination of the squares.", "session_id": 951, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "yea", "session_id": 951, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "OK, so", "session_id": 951, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "there should be an established formula for this one.", "session_id": 951, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "We could derive it, but I don't really think we want to get into that. Let me go get my uh", "session_id": 951, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "let's see", "session_id": 951, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "I can just Google it.", "session_id": 951, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "probably", "session_id": 951, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "is the best way", "session_id": 951, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "Let me go ahead and do that", "session_id": 951, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "See if I get a formula", "session_id": 951, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "Let's see", "session_id": 951, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "Some of the first N squares.", "session_id": 951, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "All right, so", "session_id": 951, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "we have it", "session_id": 951, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "um", "session_id": 951, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "I can write, I can write down the formula", "session_id": 951, "sequence_id": 62, "annotations": []}
{"role": "student", "content": "Did it", "session_id": 951, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "for you on below.", "session_id": 951, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "if you already haven't got, oh yeah, I see you think you got it. 19 times 20 times.", "session_id": 951, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "39/6. Yup.", "session_id": 951, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "So", "session_id": 951, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "that looks like a good way to", "session_id": 951, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "you had already known that one, Liam. That's great.", "session_id": 951, "sequence_id": 69, "annotations": [{"pii_type": "PERSON", "surrogate": "Liam", "start": 32, "end": 36}]}
{"role": "student", "content": "just looked it up", "session_id": 951, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "Yup", "session_id": 951, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "Excellent", "session_id": 951, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "Do we have any other problems?", "session_id": 951, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 951, "sequence_id": 74, "annotations": []}
{"role": "volunteer", "content": "So", "session_id": 951, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "um, we can go a couple of different ways here. We could", "session_id": 951, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "factor out a K, but", "session_id": 951, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "uh, I, I'm inclined to", "session_id": 951, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "try plugging in numbers again.", "session_id": 951, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "and seeing what pattern comes out", "session_id": 951, "sequence_id": 80, "annotations": []}
{"role": "volunteer", "content": "So why don't we do the same thing we did on the last one.", "session_id": 951, "sequence_id": 81, "annotations": []}
{"role": "volunteer", "content": "and", "session_id": 951, "sequence_id": 82, "annotations": []}
{"role": "volunteer", "content": "start plugging in and see what we get.", "session_id": 951, "sequence_id": 83, "annotations": []}
{"role": "volunteer", "content": "Mhm", "session_id": 951, "sequence_id": 84, "annotations": []}
{"role": "volunteer", "content": "right", "session_id": 951, "sequence_id": 85, "annotations": []}
{"role": "volunteer", "content": "I don't think you want the cube to, I don't think you want the cube done the last two.", "session_id": 951, "sequence_id": 86, "annotations": []}
{"role": "volunteer", "content": "that you put down", "session_id": 951, "sequence_id": 87, "annotations": []}
{"role": "volunteer", "content": "So you've got 25 cub, that should just be 2 times 25.", "session_id": 951, "sequence_id": 88, "annotations": []}
{"role": "student", "content": "right", "session_id": 951, "sequence_id": 89, "annotations": []}
{"role": "volunteer", "content": "and the one before it should be just 2 times 2.", "session_id": 951, "sequence_id": 90, "annotations": []}
{"role": "student", "content": "right", "session_id": 951, "sequence_id": 91, "annotations": []}
{"role": "volunteer", "content": "So let's just", "session_id": 951, "sequence_id": 92, "annotations": []}
{"role": "volunteer", "content": "fix that a little bit", "session_id": 951, "sequence_id": 93, "annotations": []}
{"role": "volunteer", "content": "You get the, there we go, right there, yeah.", "session_id": 951, "sequence_id": 94, "annotations": []}
{"role": "volunteer", "content": "in there. OK, so let's just see what we get for the first couple, see if we get a pattern here.", "session_id": 951, "sequence_id": 95, "annotations": []}
{"role": "student", "content": "adding by 5?", "session_id": 951, "sequence_id": 96, "annotations": []}
{"role": "volunteer", "content": "So", "session_id": 951, "sequence_id": 97, "annotations": []}
{"role": "volunteer", "content": "starts with a negative", "session_id": 951, "sequence_id": 98, "annotations": []}
{"role": "volunteer", "content": "starts with a negative number, doesn't it?", "session_id": 951, "sequence_id": 99, "annotations": []}
{"role": "student", "content": "yup", "session_id": 951, "sequence_id": 100, "annotations": []}
{"role": "volunteer", "content": "Starts with -1", "session_id": 951, "sequence_id": 101, "annotations": []}
{"role": "volunteer", "content": "and it goes", "session_id": 951, "sequence_id": 102, "annotations": []}
{"role": "volunteer", "content": "to uh 8 minus 4, which would be", "session_id": 951, "sequence_id": 103, "annotations": []}
{"role": "volunteer", "content": "4.", "session_id": 951, "sequence_id": 104, "annotations": []}
{"role": "volunteer", "content": "Um, I'm thinking that maybe this is not the greatest approach.", "session_id": 951, "sequence_id": 105, "annotations": []}
{"role": "volunteer", "content": "Um, maybe we should back off of this and try something a little different.", "session_id": 951, "sequence_id": 106, "annotations": []}
{"role": "student", "content": "ok", "session_id": 951, "sequence_id": 107, "annotations": []}
{"role": "volunteer", "content": "How about if we um", "session_id": 951, "sequence_id": 108, "annotations": []}
{"role": "volunteer", "content": "how about if we factor out the K.", "session_id": 951, "sequence_id": 109, "annotations": []}
{"role": "volunteer", "content": "and then", "session_id": 951, "sequence_id": 110, "annotations": []}
{"role": "volunteer", "content": "pull, pull that", "session_id": 951, "sequence_id": 111, "annotations": []}
{"role": "volunteer", "content": "pull the K out", "session_id": 951, "sequence_id": 112, "annotations": []}
{"role": "student", "content": "ooh", "session_id": 951, "sequence_id": 113, "annotations": []}
{"role": "student", "content": "that might work", "session_id": 951, "sequence_id": 114, "annotations": []}
{"role": "volunteer", "content": "and refactor that into K times 9 minus 2.", "session_id": 951, "sequence_id": 115, "annotations": []}
{"role": "volunteer", "content": "Right", "session_id": 951, "sequence_id": 116, "annotations": []}
{"role": "volunteer", "content": "So", "session_id": 951, "sequence_id": 117, "annotations": []}
{"role": "volunteer", "content": "if we um do that.", "session_id": 951, "sequence_id": 118, "annotations": []}
{"role": "volunteer", "content": "I think that's 24, right?", "session_id": 951, "sequence_id": 119, "annotations": []}
{"role": "student", "content": "no", "session_id": 951, "sequence_id": 120, "annotations": []}
{"role": "student", "content": "9-2=7", "session_id": 951, "sequence_id": 121, "annotations": []}
{"role": "volunteer", "content": "Oh sorry", "session_id": 951, "sequence_id": 122, "annotations": []}
{"role": "student", "content": "7x3=21", "session_id": 951, "sequence_id": 123, "annotations": []}
{"role": "volunteer", "content": "right", "session_id": 951, "sequence_id": 124, "annotations": []}
{"role": "volunteer", "content": "That's a 2, right", "session_id": 951, "sequence_id": 125, "annotations": []}
{"role": "volunteer", "content": "Um", "session_id": 951, "sequence_id": 126, "annotations": []}
{"role": "volunteer", "content": "let me ask you this, Liam", "session_id": 951, "sequence_id": 127, "annotations": [{"pii_type": "PERSON", "surrogate": "Liam", "start": 21, "end": 25}]}
{"role": "student", "content": "not seeing a pattern", "session_id": 951, "sequence_id": 128, "annotations": []}
{"role": "volunteer", "content": "Let me ask you this, um, are you allowed to", "session_id": 951, "sequence_id": 129, "annotations": []}
{"role": "volunteer", "content": "to simply look up", "session_id": 951, "sequence_id": 130, "annotations": []}
{"role": "volunteer", "content": "KQ, the sum of K cubs and", "session_id": 951, "sequence_id": 131, "annotations": []}
{"role": "volunteer", "content": "look that up", "session_id": 951, "sequence_id": 132, "annotations": []}
{"role": "student", "content": "yes", "session_id": 951, "sequence_id": 133, "annotations": []}
{"role": "student", "content": "ohhh", "session_id": 951, "sequence_id": 134, "annotations": []}
{"role": "student", "content": "I think I know what to do", "session_id": 951, "sequence_id": 135, "annotations": []}
{"role": "volunteer", "content": "because we may be making it too difficult. So why don't we just do it as the sum of two series instead of trying to do it this way, we're off on the wrong track.", "session_id": 951, "sequence_id": 136, "annotations": []}
{"role": "volunteer", "content": "Yeah.", "session_id": 951, "sequence_id": 137, "annotations": []}
{"role": "volunteer", "content": "We'll just do the sum of KQ minus the other one, and I, that should be easy.", "session_id": 951, "sequence_id": 138, "annotations": []}
{"role": "volunteer", "content": "So, uh", "session_id": 951, "sequence_id": 139, "annotations": []}
{"role": "volunteer", "content": "if you want to look up some of Liam or I can do that.", "session_id": 951, "sequence_id": 140, "annotations": [{"pii_type": "PERSON", "surrogate": "Liam", "start": 31, "end": 35}]}
{"role": "volunteer", "content": "You go over here", "session_id": 951, "sequence_id": 141, "annotations": []}
{"role": "volunteer", "content": "Yeah, there's a formula", "session_id": 951, "sequence_id": 142, "annotations": []}
{"role": "volunteer", "content": "and square times N + 1/254.", "session_id": 951, "sequence_id": 143, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 951, "sequence_id": 144, "annotations": []}
{"role": "volunteer", "content": "Well, I was thinking just go back to the original without even factoring it out, but you can do it this way.", "session_id": 951, "sequence_id": 145, "annotations": []}
{"role": "volunteer", "content": "as well", "session_id": 951, "sequence_id": 146, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 951, "sequence_id": 147, "annotations": []}
{"role": "volunteer", "content": "So we know the first one is 25 times 26/2, right?", "session_id": 951, "sequence_id": 148, "annotations": []}
{"role": "volunteer", "content": "Keep going, you're doing great", "session_id": 951, "sequence_id": 149, "annotations": []}
{"role": "student", "content": "could you try it the other way", "session_id": 951, "sequence_id": 150, "annotations": []}
{"role": "volunteer", "content": "So the 1st 1, 3:25.", "session_id": 951, "sequence_id": 151, "annotations": []}
{"role": "student", "content": "I want to see if we get the same answer", "session_id": 951, "sequence_id": 152, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 951, "sequence_id": 153, "annotations": []}
{"role": "volunteer", "content": "25 times 26.", "session_id": 951, "sequence_id": 154, "annotations": []}
{"role": "volunteer", "content": "times 51", "session_id": 951, "sequence_id": 155, "annotations": []}
{"role": "volunteer", "content": "divided by 6", "session_id": 951, "sequence_id": 156, "annotations": []}
{"role": "volunteer", "content": "55", "session_id": 951, "sequence_id": 157, "annotations": []}
{"role": "volunteer", "content": "25", "session_id": 951, "sequence_id": 158, "annotations": []}
{"role": "volunteer", "content": "m 50", "session_id": 951, "sequence_id": 159, "annotations": []}
{"role": "volunteer", "content": "Well, unfortunately, when I use the calculator, I did not get that answer, so", "session_id": 951, "sequence_id": 160, "annotations": []}
{"role": "volunteer", "content": "we must have some logic fault here.", "session_id": 951, "sequence_id": 161, "annotations": []}
{"role": "volunteer", "content": "Let me, let me go back up.", "session_id": 951, "sequence_id": 162, "annotations": []}
{"role": "volunteer", "content": "The answer I've got", "session_id": 951, "sequence_id": 163, "annotations": []}
{"role": "volunteer", "content": "I'll write it on there for you when I use the calculator to sum it up.", "session_id": 951, "sequence_id": 164, "annotations": []}
{"role": "volunteer", "content": "Um", "session_id": 951, "sequence_id": 165, "annotations": []}
{"role": "volunteer", "content": "was", "session_id": 951, "sequence_id": 166, "annotations": []}
{"role": "volunteer", "content": "let me go calculate it one more time here just to make sure I didn't.", "session_id": 951, "sequence_id": 167, "annotations": []}
{"role": "volunteer", "content": "I got this 10", "session_id": 951, "sequence_id": 168, "annotations": []}
{"role": "volunteer", "content": "4975", "session_id": 951, "sequence_id": 169, "annotations": []}
{"role": "volunteer", "content": "So, let's go back and see if we see any problem and we'll", "session_id": 951, "sequence_id": 170, "annotations": []}
{"role": "volunteer", "content": "we did here", "session_id": 951, "sequence_id": 171, "annotations": []}
{"role": "volunteer", "content": "KQ minus 2K.", "session_id": 951, "sequence_id": 172, "annotations": []}
{"role": "volunteer", "content": "The problem may be that we can't fact we can't sum the series like that.", "session_id": 951, "sequence_id": 173, "annotations": []}
{"role": "volunteer", "content": "uh, outwardly", "session_id": 951, "sequence_id": 174, "annotations": []}
{"role": "volunteer", "content": "Um", "session_id": 951, "sequence_id": 175, "annotations": []}
{"role": "volunteer", "content": "I think that that might be a problem.", "session_id": 951, "sequence_id": 176, "annotations": []}
{"role": "volunteer", "content": "Wouldn't it be, wouldn't it be just simpler to look to do it, go back and look at just the original", "session_id": 951, "sequence_id": 177, "annotations": []}
{"role": "volunteer", "content": "and take the sum of cubes", "session_id": 951, "sequence_id": 178, "annotations": []}
{"role": "student", "content": "yea", "session_id": 951, "sequence_id": 179, "annotations": []}
{"role": "volunteer", "content": "just as two series, because I think we're, we're making it hard and we don't need to.", "session_id": 951, "sequence_id": 180, "annotations": []}
{"role": "volunteer", "content": "Well", "session_id": 951, "sequence_id": 181, "annotations": []}
{"role": "volunteer", "content": "sorry.", "session_id": 951, "sequence_id": 182, "annotations": []}
{"role": "volunteer", "content": "Yeah, that's the way to go", "session_id": 951, "sequence_id": 183, "annotations": []}
{"role": "volunteer", "content": "Too2 series", "session_id": 951, "sequence_id": 184, "annotations": []}
{"role": "volunteer", "content": "Good", "session_id": 951, "sequence_id": 185, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 951, "sequence_id": 186, "annotations": []}
{"role": "volunteer", "content": "So the first one I, I looked it up. Do you already know the first one? I can write it.", "session_id": 951, "sequence_id": 187, "annotations": []}
{"role": "volunteer", "content": "for you if you need me to", "session_id": 951, "sequence_id": 188, "annotations": []}
{"role": "volunteer", "content": "Mhm.", "session_id": 951, "sequence_id": 189, "annotations": []}
{"role": "volunteer", "content": "All right, we must be still not on the right track here.", "session_id": 951, "sequence_id": 190, "annotations": []}
{"role": "volunteer", "content": "Um.", "session_id": 951, "sequence_id": 191, "annotations": []}
{"role": "student", "content": "yea..", "session_id": 951, "sequence_id": 192, "annotations": []}
{"role": "volunteer", "content": "so let me, um", "session_id": 951, "sequence_id": 193, "annotations": []}
{"role": "volunteer", "content": "I think there's just a little bit of error in here. Would you wanna let me try it?", "session_id": 951, "sequence_id": 194, "annotations": []}
{"role": "student", "content": "sure", "session_id": 951, "sequence_id": 195, "annotations": []}
{"role": "volunteer", "content": "Try it, since you've given it a valued effort.", "session_id": 951, "sequence_id": 196, "annotations": []}
{"role": "volunteer", "content": "Um.", "session_id": 951, "sequence_id": 197, "annotations": []}
{"role": "volunteer", "content": "I'm gonna go below and just kind of", "session_id": 951, "sequence_id": 198, "annotations": []}
{"role": "volunteer", "content": "start over", "session_id": 951, "sequence_id": 199, "annotations": []}
{"role": "volunteer", "content": "see if we can", "session_id": 951, "sequence_id": 200, "annotations": []}
{"role": "volunteer", "content": "I got a", "session_id": 951, "sequence_id": 201, "annotations": []}
{"role": "volunteer", "content": "take a minute here and get myself together.", "session_id": 951, "sequence_id": 202, "annotations": []}
{"role": "volunteer", "content": "So I want to go back to the original", "session_id": 951, "sequence_id": 203, "annotations": []}
{"role": "volunteer", "content": "All right. My hand's a little shaky here, but we'll", "session_id": 951, "sequence_id": 204, "annotations": []}
{"role": "volunteer", "content": "try it out. So", "session_id": 951, "sequence_id": 205, "annotations": []}
{"role": "volunteer", "content": "we're gonna do it as 2 series, some", "session_id": 951, "sequence_id": 206, "annotations": []}
{"role": "volunteer", "content": "of K cued", "session_id": 951, "sequence_id": 207, "annotations": []}
{"role": "volunteer", "content": "from one", "session_id": 951, "sequence_id": 208, "annotations": []}
{"role": "volunteer", "content": "to 25", "session_id": 951, "sequence_id": 209, "annotations": []}
{"role": "volunteer", "content": "plus", "session_id": 951, "sequence_id": 210, "annotations": []}
{"role": "volunteer", "content": "minus, sorry.", "session_id": 951, "sequence_id": 211, "annotations": []}
{"role": "volunteer", "content": "minus", "session_id": 951, "sequence_id": 212, "annotations": []}
{"role": "volunteer", "content": "2 times", "session_id": 951, "sequence_id": 213, "annotations": []}
{"role": "volunteer", "content": "the sum of K", "session_id": 951, "sequence_id": 214, "annotations": []}
{"role": "volunteer", "content": "1", "session_id": 951, "sequence_id": 215, "annotations": []}
{"role": "volunteer", "content": "to 25", "session_id": 951, "sequence_id": 216, "annotations": []}
{"role": "volunteer", "content": "of K", "session_id": 951, "sequence_id": 217, "annotations": []}
{"role": "volunteer", "content": "I'm hoping that's right. Sorry about the sloppiness.", "session_id": 951, "sequence_id": 218, "annotations": []}
{"role": "volunteer", "content": "OK, so then", "session_id": 951, "sequence_id": 219, "annotations": []}
{"role": "volunteer", "content": "we know that this", "session_id": 951, "sequence_id": 220, "annotations": []}
{"role": "volunteer", "content": "could be the first one should be", "session_id": 951, "sequence_id": 221, "annotations": []}
{"role": "volunteer", "content": "25 square", "session_id": 951, "sequence_id": 222, "annotations": []}
{"role": "student", "content": "we can bring the 2 in front of it", "session_id": 951, "sequence_id": 223, "annotations": []}
{"role": "volunteer", "content": "times 26 square", "session_id": 951, "sequence_id": 224, "annotations": []}
{"role": "volunteer", "content": "over 4", "session_id": 951, "sequence_id": 225, "annotations": []}
{"role": "volunteer", "content": "and then", "session_id": 951, "sequence_id": 226, "annotations": []}
{"role": "volunteer", "content": "the next one is 2 times.", "session_id": 951, "sequence_id": 227, "annotations": []}
{"role": "volunteer", "content": "25", "session_id": 951, "sequence_id": 228, "annotations": []}
{"role": "volunteer", "content": "times 26/2.", "session_id": 951, "sequence_id": 229, "annotations": []}
{"role": "volunteer", "content": "So hopefully", "session_id": 951, "sequence_id": 230, "annotations": []}
{"role": "volunteer", "content": "that's a little simpler and maybe it'll work, maybe it won't.", "session_id": 951, "sequence_id": 231, "annotations": []}
{"role": "volunteer", "content": "So the twos cancel, right?", "session_id": 951, "sequence_id": 232, "annotations": []}
{"role": "volunteer", "content": "So let's see what we get", "session_id": 951, "sequence_id": 233, "annotations": []}
{"role": "volunteer", "content": "and clear this out", "session_id": 951, "sequence_id": 234, "annotations": []}
{"role": "volunteer", "content": "25 squad", "session_id": 951, "sequence_id": 235, "annotations": []}
{"role": "volunteer", "content": "times 26 square.", "session_id": 951, "sequence_id": 236, "annotations": []}
{"role": "volunteer", "content": "divided by 4", "session_id": 951, "sequence_id": 237, "annotations": []}
{"role": "volunteer", "content": "", "session_id": 951, "sequence_id": 238, "annotations": []}
{"role": "volunteer", "content": "625", "session_id": 951, "sequence_id": 239, "annotations": []}
{"role": "volunteer", "content": "minus 25 times 26, 25 times 26.", "session_id": 951, "sequence_id": 240, "annotations": []}
{"role": "volunteer", "content": "is 5 650.", "session_id": 951, "sequence_id": 241, "annotations": []}
{"role": "volunteer", "content": "And if I ", "session_id": 951, "sequence_id": 242, "annotations": []}
{"role": "volunteer", "content": "625 minus", "session_id": 951, "sequence_id": 243, "annotations": []}
{"role": "volunteer", "content": "650", "session_id": 951, "sequence_id": 244, "annotations": []}
{"role": "volunteer", "content": "we get the right answer.", "session_id": 951, "sequence_id": 245, "annotations": []}
{"role": "volunteer", "content": "So, I think we just make it too complicated, making it too hard.", "session_id": 951, "sequence_id": 246, "annotations": []}
{"role": "student", "content": "wait up", "session_id": 951, "sequence_id": 247, "annotations": []}
{"role": "student", "content": "so what happened here", "session_id": 951, "sequence_id": 248, "annotations": []}
{"role": "volunteer", "content": "Where's that, Liam", "session_id": 951, "sequence_id": 249, "annotations": [{"pii_type": "PERSON", "surrogate": "Liam", "start": 14, "end": 18}]}
{"role": "volunteer", "content": "Um, well", "session_id": 951, "sequence_id": 250, "annotations": []}
{"role": "volunteer", "content": "I'm allowed to take", "session_id": 951, "sequence_id": 251, "annotations": []}
{"role": "volunteer", "content": "I'm allowed to factor to pull the two out, right?", "session_id": 951, "sequence_id": 252, "annotations": []}
{"role": "student", "content": "why?", "session_id": 951, "sequence_id": 253, "annotations": []}
{"role": "volunteer", "content": "Um, well, if we were to write each of the terms two ways, we could probably prove it. Um,", "session_id": 951, "sequence_id": 254, "annotations": []}
{"role": "volunteer", "content": "so if I", "session_id": 951, "sequence_id": 255, "annotations": []}
{"role": "volunteer", "content": "um", "session_id": 951, "sequence_id": 256, "annotations": []}
{"role": "volunteer", "content": "we could try to prove that. I think it's correct.", "session_id": 951, "sequence_id": 257, "annotations": []}
{"role": "volunteer", "content": "Let's see", "session_id": 951, "sequence_id": 258, "annotations": []}
{"role": "volunteer", "content": "So I could write the series both ways and see if they're the same.", "session_id": 951, "sequence_id": 259, "annotations": []}
{"role": "volunteer", "content": "Let me try that", "session_id": 951, "sequence_id": 260, "annotations": []}
{"role": "volunteer", "content": "2 times the sum of K is the same thing as sum of 2K", "session_id": 951, "sequence_id": 261, "annotations": []}
{"role": "volunteer", "content": "Well.", "session_id": 951, "sequence_id": 262, "annotations": []}
{"role": "student", "content": "Oh I see", "session_id": 951, "sequence_id": 263, "annotations": []}
{"role": "volunteer", "content": "Are you gonna, you want me to work on that or are you gonna do that like down below. Make sure that they're the same thing.", "session_id": 951, "sequence_id": 264, "annotations": []}
{"role": "volunteer", "content": "They should be", "session_id": 951, "sequence_id": 265, "annotations": []}
{"role": "student", "content": "since it doesn't contain k", "session_id": 951, "sequence_id": 266, "annotations": []}
{"role": "student", "content": "then it's alright", "session_id": 951, "sequence_id": 267, "annotations": []}
{"role": "volunteer", "content": "OK, yeah", "session_id": 951, "sequence_id": 268, "annotations": []}
{"role": "student", "content": "to move it", "session_id": 951, "sequence_id": 269, "annotations": []}
{"role": "student", "content": "I see", "session_id": 951, "sequence_id": 270, "annotations": []}
{"role": "volunteer", "content": "Anyhow, uh, we made it too complicated. We should have stuck with the simple approach.", "session_id": 951, "sequence_id": 271, "annotations": []}
{"role": "student", "content": "let me write it down", "session_id": 951, "sequence_id": 272, "annotations": []}
{"role": "volunteer", "content": "Sure.", "session_id": 951, "sequence_id": 273, "annotations": []}
{"role": "student", "content": "so k and k^3 formulas are similar", "session_id": 951, "sequence_id": 274, "annotations": []}
{"role": "volunteer", "content": "Um, yeah, they are", "session_id": 951, "sequence_id": 275, "annotations": []}
{"role": "student", "content": "except that k isn't being squared", "session_id": 951, "sequence_id": 276, "annotations": []}
{"role": "volunteer", "content": "sort of similar, right", "session_id": 951, "sequence_id": 277, "annotations": []}
{"role": "volunteer", "content": "And it's dividing by 2, not 4, but it's similar.", "session_id": 951, "sequence_id": 278, "annotations": []}
{"role": "student", "content": "one last one?", "session_id": 951, "sequence_id": 279, "annotations": []}
{"role": "volunteer", "content": "Sure.", "session_id": 951, "sequence_id": 280, "annotations": []}
{"role": "volunteer", "content": "OK, let's think about this before we run off too quick.", "session_id": 951, "sequence_id": 281, "annotations": []}
{"role": "volunteer", "content": "Hmm", "session_id": 951, "sequence_id": 282, "annotations": []}
{"role": "volunteer", "content": "We could just write out the first few terms just to see if it helps.", "session_id": 951, "sequence_id": 283, "annotations": []}
{"role": "volunteer", "content": "But", "session_id": 951, "sequence_id": 284, "annotations": []}
{"role": "volunteer", "content": "OK, that's", "session_id": 951, "sequence_id": 285, "annotations": []}
{"role": "student", "content": "what now?", "session_id": 951, "sequence_id": 286, "annotations": []}
{"role": "volunteer", "content": "one gives us 3.", "session_id": 951, "sequence_id": 287, "annotations": []}
{"role": "volunteer", "content": "2 gives us", "session_id": 951, "sequence_id": 288, "annotations": []}
{"role": "volunteer", "content": "5/4.", "session_id": 951, "sequence_id": 289, "annotations": []}
{"role": "volunteer", "content": "3 gives this.", "session_id": 951, "sequence_id": 290, "annotations": []}
{"role": "volunteer", "content": "7", "session_id": 951, "sequence_id": 291, "annotations": []}
{"role": "volunteer", "content": "lines", "session_id": 951, "sequence_id": 292, "annotations": []}
{"role": "volunteer", "content": "and 4 gives us", "session_id": 951, "sequence_id": 293, "annotations": []}
{"role": "volunteer", "content": "9", "session_id": 951, "sequence_id": 294, "annotations": []}
{"role": "volunteer", "content": "Let me just take a minute and look at this and see if anything", "session_id": 951, "sequence_id": 295, "annotations": []}
{"role": "volunteer", "content": "we", "session_id": 951, "sequence_id": 296, "annotations": []}
{"role": "volunteer", "content": "or", "session_id": 951, "sequence_id": 297, "annotations": []}
{"role": "volunteer", "content": "or", "session_id": 951, "sequence_id": 298, "annotations": []}
{"role": "volunteer", "content": "re it", "session_id": 951, "sequence_id": 299, "annotations": []}
{"role": "volunteer", "content": "or 16.", "session_id": 951, "sequence_id": 300, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 951, "sequence_id": 301, "annotations": []}
{"role": "student", "content": "something like this", "session_id": 951, "sequence_id": 302, "annotations": []}
{"role": "volunteer", "content": "OK, let me, um", "session_id": 951, "sequence_id": 303, "annotations": []}
{"role": "volunteer", "content": "let me put", "session_id": 951, "sequence_id": 304, "annotations": []}
{"role": "volunteer", "content": "I wanna pick a number", "session_id": 951, "sequence_id": 305, "annotations": []}
{"role": "student", "content": "20", "session_id": 951, "sequence_id": 306, "annotations": []}
{"role": "volunteer", "content": "a, a fairly big number and I wanna put it in the original series", "session_id": 951, "sequence_id": 307, "annotations": []}
{"role": "volunteer", "content": "Yeah, like 20", "session_id": 951, "sequence_id": 308, "annotations": []}
{"role": "volunteer", "content": "Let me, let's pick that and put it in the original, in the calculator and see what we get to for the, the correct answer. So let me take a minute and do that.", "session_id": 951, "sequence_id": 309, "annotations": []}
{"role": "volunteer", "content": "Oh man", "session_id": 951, "sequence_id": 310, "annotations": []}
{"role": "volunteer", "content": "All right, very interesting.", "session_id": 951, "sequence_id": 311, "annotations": []}
{"role": "volunteer", "content": "Um", "session_id": 951, "sequence_id": 312, "annotations": []}
{"role": "volunteer", "content": "um, I think I did it wrong, sorry. Let me try it again.", "session_id": 951, "sequence_id": 313, "annotations": []}
{"role": "volunteer", "content": "Got to fix that", "session_id": 951, "sequence_id": 314, "annotations": []}
{"role": "student", "content": "so..", "session_id": 951, "sequence_id": 315, "annotations": []}
{"role": "volunteer", "content": "So I'm getting a decimal", "session_id": 951, "sequence_id": 316, "annotations": []}
{"role": "volunteer", "content": "value of like 8.79 when we picked 20.", "session_id": 951, "sequence_id": 317, "annotations": []}
{"role": "volunteer", "content": "So I'm gonna", "session_id": 951, "sequence_id": 318, "annotations": []}
{"role": "volunteer", "content": "I'm gonna write down", "session_id": 951, "sequence_id": 319, "annotations": []}
{"role": "volunteer", "content": "well, I've got the answer written down. It's about 8.79.", "session_id": 951, "sequence_id": 320, "annotations": []}
{"role": "volunteer", "content": "for 20", "session_id": 951, "sequence_id": 321, "annotations": []}
{"role": "volunteer", "content": "So", "session_id": 951, "sequence_id": 322, "annotations": []}
{"role": "volunteer", "content": "if we plug in 20 into your formula, if we get something", "session_id": 951, "sequence_id": 323, "annotations": []}
{"role": "volunteer", "content": "similar", "session_id": 951, "sequence_id": 324, "annotations": []}
{"role": "volunteer", "content": "So you have got it down to 1/2 plus N.", "session_id": 951, "sequence_id": 325, "annotations": []}
{"role": "student", "content": "yes", "session_id": 951, "sequence_id": 326, "annotations": []}
{"role": "volunteer", "content": "or 1 + 2 over N, so 1.", "session_id": 951, "sequence_id": 327, "annotations": []}
{"role": "volunteer", "content": "plus", "session_id": 951, "sequence_id": 328, "annotations": []}
{"role": "volunteer", "content": "2/20.", "session_id": 951, "sequence_id": 329, "annotations": []}
{"role": "student", "content": "1.1", "session_id": 951, "sequence_id": 330, "annotations": []}
{"role": "volunteer", "content": "So that doesn't come out to be the same thing. That comes out to one", "session_id": 951, "sequence_id": 331, "annotations": []}
{"role": "volunteer", "content": "1.1", "session_id": 951, "sequence_id": 332, "annotations": []}
{"role": "volunteer", "content": "Let me make sure I'm doing everything correctly.", "session_id": 951, "sequence_id": 333, "annotations": []}
{"role": "volunteer", "content": "So all we're doing", "session_id": 951, "sequence_id": 334, "annotations": []}
{"role": "volunteer", "content": "oh, I think I see what I did wrong. Hold on.", "session_id": 951, "sequence_id": 335, "annotations": []}
{"role": "volunteer", "content": "Sorry.", "session_id": 951, "sequence_id": 336, "annotations": []}
{"role": "volunteer", "content": "I messed up", "session_id": 951, "sequence_id": 337, "annotations": []}
{"role": "volunteer", "content": "Oh, let me fix what I did.", "session_id": 951, "sequence_id": 338, "annotations": []}
{"role": "volunteer", "content": "All right", "session_id": 951, "sequence_id": 339, "annotations": []}
{"role": "student", "content": "I think I did it correct;y", "session_id": 951, "sequence_id": 340, "annotations": []}
{"role": "volunteer", "content": "Your answer is right", "session_id": 951, "sequence_id": 341, "annotations": []}
{"role": "volunteer", "content": "It is 11, when we try 20, it's 11 10s and you got 11 10s, so your answer is right.", "session_id": 951, "sequence_id": 342, "annotations": []}
{"role": "student", "content": "ok", "session_id": 951, "sequence_id": 343, "annotations": []}
{"role": "student", "content": "thanks example.comLiam", "session_id": 951, "sequence_id": 344, "annotations": [{"pii_type": "URL", "surrogate": "example.com", "start": 7, "end": 18}, {"pii_type": "PERSON", "surrogate": "Liam", "start": 18, "end": 22}]}
{"role": "volunteer", "content": "Thank you. Way to hang in there.", "session_id": 951, "sequence_id": 345, "annotations": []}
{"role": "student", "content": "bye", "session_id": 951, "sequence_id": 346, "annotations": []}
{"role": "volunteer", "content": "Bye-bye.", "session_id": 951, "sequence_id": 347, "annotations": []}
{"role": "volunteer", "content": "hi", "session_id": 995, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "Hello", "session_id": 995, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "nice to meet you", "session_id": 995, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "Hope You're having a great day", "session_id": 995, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "you too :-)", "session_id": 995, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "so I have this test on friday", "session_id": 995, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "and we're learning about this 30-60-90 triangles", "session_id": 995, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "and this 45-45-90 triangles", "session_id": 995, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "I have a page to solve", "session_id": 995, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "okay", "session_id": 995, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "could you help please?", "session_id": 995, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "sure", "session_id": 995, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "I tried solving parts of it", "session_id": 995, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "do you see it?", "session_id": 995, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "I see it", "session_id": 995, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "I don't even know how to do any of these tbh", "session_id": 995, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "hang on, need charger", "session_id": 995, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "take your time", "session_id": 995, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "well first i'm gonna say: x not n", "session_id": 995, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "That is x......", "session_id": 995, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "It's because I write cursive", "session_id": 995, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "and when I write fast", "session_id": 995, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "It tends to look like an N", "session_id": 995, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "sorry for the confusion", "session_id": 995, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "ha! you should fix that", "session_id": 995, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "you will confuse your teacher too", "session_id": 995, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "okay ma'am", "session_id": 995, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "I just did", "session_id": 995, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "are you there?", "session_id": 995, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "I am", "session_id": 995, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "#1 looks just right", "session_id": 995, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "for 2a", "session_id": 995, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "what if we call hypotenuse length \"h\" ?", "session_id": 995, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "what is leg length?", "session_id": 995, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "um..", "session_id": 995, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "11.31 something????", "session_id": 995, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "what is leg length \"in terms of h\"?", "session_id": 995, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "what do you mean?", "session_id": 995, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "you're using 16?", "session_id": 995, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 995, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "why?", "session_id": 995, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "our teacher said that if we cant explain it, use an example", "session_id": 995, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "okay", "session_id": 995, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "but you can make a rule for *any*  h", "session_id": 995, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "like you did for any x in 31", "session_id": 995, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "#1", "session_id": 995, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "sorry", "session_id": 995, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "https://example.com be fair..", "session_id": 995, "sequence_id": 47, "annotations": [{"pii_type": "URL", "surrogate": "https://example.com", "start": 0, "end": 19}]}
{"role": "student", "content": "I am so confused, I don't know what to do", "session_id": 995, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "okay", "session_id": 995, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "in #1, you said that hypotenuse is equal to leg times sqrt(2)", "session_id": 995, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "yes?", "session_id": 995, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "yea", "session_id": 995, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "so if you go in the other direction, you *divide* hyp by sqrt(2) to get back to leg length", "session_id": 995, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "you have a second step in 2a that is unnecessary", "session_id": 995, "sequence_id": 54, "annotations": []}
{"role": "student", "content": "what other direction?", "session_id": 995, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "in 1a you went from leg to hyp", "session_id": 995, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "2a is from hyp to leg", "session_id": 995, "sequence_id": 57, "annotations": []}
{"role": "student", "content": "I don't get it", "session_id": 995, "sequence_id": 58, "annotations": []}
{"role": "student", "content": "1a is asking us to solve them", "session_id": 995, "sequence_id": 59, "annotations": []}
{"role": "student", "content": "2a is asking us to explain", "session_id": 995, "sequence_id": 60, "annotations": []}
{"role": "student", "content": "its just that", "session_id": 995, "sequence_id": 61, "annotations": []}
{"role": "student", "content": "I don't know how exactly to explain", "session_id": 995, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "let's drop back a step", "session_id": 995, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "the hypotenuse is the long side, right?", "session_id": 995, "sequence_id": 64, "annotations": []}
{"role": "student", "content": "yes", "session_id": 995, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "so 1a shows that to find the length of the hypotenuse given the length of a leg (x), you multiply x by sqrt(2)", "session_id": 995, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "yes?", "session_id": 995, "sequence_id": 67, "annotations": []}
{"role": "student", "content": "yes", "session_id": 995, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "okay", "session_id": 995, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "that is going to be the answer to 2b", "session_id": 995, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "if you are given the length of a leg...", "session_id": 995, "sequence_id": 71, "annotations": []}
{"role": "student", "content": "?", "session_id": 995, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "you know a leg length, how do you calculate hyp?", "session_id": 995, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "for 45-45-90", "session_id": 995, "sequence_id": 74, "annotations": []}
{"role": "student", "content": "add the 45 and 45", "session_id": 995, "sequence_id": 75, "annotations": []}
{"role": "student", "content": "or 45 times 2", "session_id": 995, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "those are angle measures", "session_id": 995, "sequence_id": 77, "annotations": []}
{"role": "student", "content": "...oh my bad", "session_id": 995, "sequence_id": 78, "annotations": []}
{"role": "student", "content": "you square the leg lengths?", "session_id": 995, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "that little pic is the rules for 45-45-90 side lengths", "session_id": 995, "sequence_id": 80, "annotations": []}
{"role": "volunteer", "content": "it is true for EVERY 45-45-90 triangle", "session_id": 995, "sequence_id": 81, "annotations": []}
{"role": "student", "content": "okay...", "session_id": 995, "sequence_id": 82, "annotations": []}
{"role": "volunteer", "content": "if you know the length of a leg (the two legs are the same length because isosceles, I.e., base angles are equal), you can find the length of the hypotenuse", "session_id": 995, "sequence_id": 83, "annotations": []}
{"role": "volunteer", "content": "by multiplying leg length times sqrt(2)", "session_id": 995, "sequence_id": 84, "annotations": []}
{"role": "volunteer", "content": "your problem one uses x; the illustration uses a", "session_id": 995, "sequence_id": 85, "annotations": []}
{"role": "student", "content": "you told me that before", "session_id": 995, "sequence_id": 86, "annotations": []}
{"role": "student", "content": "I'm asking 2 a", "session_id": 995, "sequence_id": 87, "annotations": []}
{"role": "volunteer", "content": "you asked me about \"the other direction\"", "session_id": 995, "sequence_id": 88, "annotations": []}
{"role": "student", "content": "yeah because you mentioned it", "session_id": 995, "sequence_id": 89, "annotations": []}
{"role": "volunteer", "content": "2b and 1a are \"find hyp given leg length\"", "session_id": 995, "sequence_id": 90, "annotations": []}
{"role": "student", "content": "okay", "session_id": 995, "sequence_id": 91, "annotations": []}
{"role": "volunteer", "content": "2a Is \"find leg length given hypotenuse\"", "session_id": 995, "sequence_id": 92, "annotations": []}
{"role": "volunteer", "content": "\"the other direction\"", "session_id": 995, "sequence_id": 93, "annotations": []}
{"role": "student", "content": "ahhhhh", "session_id": 995, "sequence_id": 94, "annotations": []}
{"role": "student", "content": "I got you!", "session_id": 995, "sequence_id": 95, "annotations": []}
{"role": "volunteer", "content": "so you need the inverse operation", "session_id": 995, "sequence_id": 96, "annotations": []}
{"role": "volunteer", "content": "your first step on 2a is exactly right", "session_id": 995, "sequence_id": 97, "annotations": []}
{"role": "volunteer", "content": "but you don't need another step!", "session_id": 995, "sequence_id": 98, "annotations": []}
{"role": "student", "content": "so how do I word it", "session_id": 995, "sequence_id": 99, "annotations": []}
{"role": "volunteer", "content": "you see green?", "session_id": 995, "sequence_id": 100, "annotations": []}
{"role": "student", "content": "So I could write \"to find the length of a leg given the length of the hypotenuse..Divide X by Sqrt of 2\"?", "session_id": 995, "sequence_id": 101, "annotations": []}
{"role": "volunteer", "content": "I think for clarity i'd say ... Divide the length of the hypotenuse by ...", "session_id": 995, "sequence_id": 102, "annotations": []}
{"role": "volunteer", "content": "but yes that's the process", "session_id": 995, "sequence_id": 103, "annotations": []}
{"role": "volunteer", "content": "starting with h", "session_id": 995, "sequence_id": 104, "annotations": []}
{"role": "volunteer", "content": "and for 2b, swap \"length of leg\" and \"length of hypotenuse\", and say multiply instead of divide", "session_id": 995, "sequence_id": 105, "annotations": []}
{"role": "volunteer", "content": "am I making sense?", "session_id": 995, "sequence_id": 106, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 995, "sequence_id": 107, "annotations": []}
{"role": "volunteer", "content": "the relative lengths shown in my snip are always the same", "session_id": 995, "sequence_id": 108, "annotations": []}
{"role": "student", "content": "I have the backside of this page if you have time?", "session_id": 995, "sequence_id": 109, "annotations": []}
{"role": "volunteer", "content": "sure", "session_id": 995, "sequence_id": 110, "annotations": []}
{"role": "volunteer", "content": "isn't this board fun? :-", "session_id": 995, "sequence_id": 111, "annotations": []}
{"role": "volunteer", "content": ":-D", "session_id": 995, "sequence_id": 112, "annotations": []}
{"role": "student", "content": "yeah :)", "session_id": 995, "sequence_id": 113, "annotations": []}
{"role": "volunteer", "content": "LOL the fingertip", "session_id": 995, "sequence_id": 114, "annotations": []}
{"role": "student", "content": "Don't ask,", "session_id": 995, "sequence_id": 115, "annotations": []}
{"role": "volunteer", "content": "let me look at your work a sec", "session_id": 995, "sequence_id": 116, "annotations": []}
{"role": "volunteer", "content": "you do what you must...", "session_id": 995, "sequence_id": 117, "annotations": []}
{"role": "student", "content": "its windy and my parents wont let me lock it so I had to hold it up", "session_id": 995, "sequence_id": 118, "annotations": []}
{"role": "volunteer", "content": "so...", "session_id": 995, "sequence_id": 119, "annotations": []}
{"role": "volunteer", "content": "the pic looks wrong", "session_id": 995, "sequence_id": 120, "annotations": []}
{"role": "volunteer", "content": "long side of the 30-60-90 should be 35?", "session_id": 995, "sequence_id": 121, "annotations": []}
{"role": "student", "content": "The teacher gave us the triangles", "session_id": 995, "sequence_id": 122, "annotations": []}
{"role": "student", "content": "I drew a draft of it", "session_id": 995, "sequence_id": 123, "annotations": []}
{"role": "student", "content": "I'll show you what my friend did", "session_id": 995, "sequence_id": 124, "annotations": []}
{"role": "student", "content": "?", "session_id": 995, "sequence_id": 125, "annotations": []}
{"role": "volunteer", "content": "35 makes more sense with the scale of the pic", "session_id": 995, "sequence_id": 126, "annotations": []}
{"role": "student", "content": "dunno, she gave us that", "session_id": 995, "sequence_id": 127, "annotations": []}
{"role": "volunteer", "content": "do you see what I'm talking about tho?", "session_id": 995, "sequence_id": 128, "annotations": []}
{"role": "student", "content": "You're talking about the 3x side right?", "session_id": 995, "sequence_id": 129, "annotations": []}
{"role": "student", "content": "The hypotenuse", "session_id": 995, "sequence_id": 130, "annotations": []}
{"role": "student", "content": "why do you think it should be 35??????????", "session_id": 995, "sequence_id": 131, "annotations": []}
{"role": "volunteer", "content": "see pink circles", "session_id": 995, "sequence_id": 132, "annotations": []}
{"role": "volunteer", "content": "problem says that cable at 60 degrees connects at 35 feet on the tower", "session_id": 995, "sequence_id": 133, "annotations": []}
{"role": "volunteer", "content": "Cable 1", "session_id": 995, "sequence_id": 134, "annotations": []}
{"role": "student", "content": "I guess she drew that for us because there was that error?", "session_id": 995, "sequence_id": 135, "annotations": []}
{"role": "volunteer", "content": "so she's going with pic, not description", "session_id": 995, "sequence_id": 136, "annotations": []}
{"role": "volunteer", "content": "that's okay", "session_id": 995, "sequence_id": 137, "annotations": []}
{"role": "volunteer", "content": "so if that height is 12 (long leg of 30-60-90), what is the length of Cable 1 (hyp)?", "session_id": 995, "sequence_id": 138, "annotations": []}
{"role": "student", "content": "ummmmm", "session_id": 995, "sequence_id": 139, "annotations": []}
{"role": "student", "content": ".....I don't know", "session_id": 995, "sequence_id": 140, "annotations": []}
{"role": "volunteer", "content": "we have an \"other direction\" issue again :-)", "session_id": 995, "sequence_id": 141, "annotations": []}
{"role": "volunteer", "content": "to get from the short leg to the long leg, you multiply by sqrt(3)", "session_id": 995, "sequence_id": 142, "annotations": []}
{"role": "volunteer", "content": "we need to find the short leg given the long leg", "session_id": 995, "sequence_id": 143, "annotations": []}
{"role": "volunteer", "content": "and then the hyp", "session_id": 995, "sequence_id": 144, "annotations": []}
{"role": "volunteer", "content": "12 = x * sqrt(3)", "session_id": 995, "sequence_id": 145, "annotations": []}
{"role": "volunteer", "content": "what's x?", "session_id": 995, "sequence_id": 146, "annotations": []}
{"role": "student", "content": "am I supposed to say the value?", "session_id": 995, "sequence_id": 147, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 995, "sequence_id": 148, "annotations": []}
{"role": "student", "content": ".......um", "session_id": 995, "sequence_id": 149, "annotations": []}
{"role": "student", "content": "so you square 3? to cancel out the square root symbol?", "session_id": 995, "sequence_id": 150, "annotations": []}
{"role": "student", "content": "is it something along those lines?", "session_id": 995, "sequence_id": 151, "annotations": []}
{"role": "volunteer", "content": "no", "session_id": 995, "sequence_id": 152, "annotations": []}
{"role": "student", "content": "or am I way off?", "session_id": 995, "sequence_id": 153, "annotations": []}
{"role": "volunteer", "content": "what do you do to 12 to find x?", "session_id": 995, "sequence_id": 154, "annotations": []}
{"role": "student", "content": "divide by Sqrt of 3?", "session_id": 995, "sequence_id": 155, "annotations": []}
{"role": "volunteer", "content": "perfect", "session_id": 995, "sequence_id": 156, "annotations": []}
{"role": "volunteer", "content": "you can actually just use 12/sqrt(3)", "session_id": 995, "sequence_id": 157, "annotations": []}
{"role": "volunteer", "content": "unless your teacher says otherwise", "session_id": 995, "sequence_id": 158, "annotations": []}
{"role": "volunteer", "content": "and you can put it in a calculator", "session_id": 995, "sequence_id": 159, "annotations": []}
{"role": "student", "content": "do we multiply both of them by the Sqrt of 3 again", "session_id": 995, "sequence_id": 160, "annotations": []}
{"role": "volunteer", "content": "oh no", "session_id": 995, "sequence_id": 161, "annotations": []}
{"role": "volunteer", "content": "12/sqrt(3) is actually the \"bridge span\"", "session_id": 995, "sequence_id": 162, "annotations": []}
{"role": "volunteer", "content": "then what is the value of the hypotenuse?", "session_id": 995, "sequence_id": 163, "annotations": []}
{"role": "student", "content": "see the pic?", "session_id": 995, "sequence_id": 164, "annotations": []}
{"role": "volunteer", "content": "I do", "session_id": 995, "sequence_id": 165, "annotations": []}
{"role": "volunteer", "content": "looks like you should leave the radical?", "session_id": 995, "sequence_id": 166, "annotations": []}
{"role": "student", "content": "we usually do that", "session_id": 995, "sequence_id": 167, "annotations": []}
{"role": "volunteer", "content": "oh I see what you mean about the multiplying", "session_id": 995, "sequence_id": 168, "annotations": []}
{"role": "volunteer", "content": "no radical in denom", "session_id": 995, "sequence_id": 169, "annotations": []}
{"role": "volunteer", "content": "do that thing you were talking about", "session_id": 995, "sequence_id": 170, "annotations": []}
{"role": "volunteer", "content": ":-)", "session_id": 995, "sequence_id": 171, "annotations": []}
{"role": "volunteer", "content": "then write what you get on the board", "session_id": 995, "sequence_id": 172, "annotations": []}
{"role": "student", "content": "erm...", "session_id": 995, "sequence_id": 173, "annotations": []}
{"role": "student", "content": "12 Sqrt3/ 3?", "session_id": 995, "sequence_id": 174, "annotations": []}
{"role": "volunteer", "content": "yes and then you can simplify!", "session_id": 995, "sequence_id": 175, "annotations": []}
{"role": "student", "content": "4 sqrt(3)", "session_id": 995, "sequence_id": 176, "annotations": []}
{"role": "volunteer", "content": "perfect", "session_id": 995, "sequence_id": 177, "annotations": []}
{"role": "volunteer", "content": "that is bridge span from tower to Cable 1", "session_id": 995, "sequence_id": 178, "annotations": []}
{"role": "volunteer", "content": "pink on pic", "session_id": 995, "sequence_id": 179, "annotations": []}
{"role": "volunteer", "content": "what is Cable 1 length?", "session_id": 995, "sequence_id": 180, "annotations": []}
{"role": "volunteer", "content": "(this is the easy step)", "session_id": 995, "sequence_id": 181, "annotations": []}
{"role": "student", "content": "https://anothersite.net do I do that?", "session_id": 995, "sequence_id": 182, "annotations": [{"pii_type": "URL", "surrogate": "https://anothersite.net", "start": 0, "end": 23}]}
{"role": "student", "content": "omg i'm scared", "session_id": 995, "sequence_id": 183, "annotations": []}
{"role": "volunteer", "content": "don't be scared", "session_id": 995, "sequence_id": 184, "annotations": []}
{"role": "volunteer", "content": "look at the little pic for 30-60-90", "session_id": 995, "sequence_id": 185, "annotations": []}
{"role": "volunteer", "content": "hypotenuse is twice as long as short leg", "session_id": 995, "sequence_id": 186, "annotations": []}
{"role": "volunteer", "content": "short leg is 4 sqrt(3)", "session_id": 995, "sequence_id": 187, "annotations": []}
{"role": "student", "content": "oh I was typing that :(", "session_id": 995, "sequence_id": 188, "annotations": []}
{"role": "student", "content": "oki", "session_id": 995, "sequence_id": 189, "annotations": []}
{"role": "student", "content": "now wgat", "session_id": 995, "sequence_id": 190, "annotations": []}
{"role": "student", "content": "what*****", "session_id": 995, "sequence_id": 191, "annotations": []}
{"role": "volunteer", "content": "how long is Cable 1?", "session_id": 995, "sequence_id": 192, "annotations": []}
{"role": "student", "content": "8 sqrt(3)", "session_id": 995, "sequence_id": 193, "annotations": []}
{"role": "student", "content": "?", "session_id": 995, "sequence_id": 194, "annotations": []}
{"role": "volunteer", "content": "okay just checking", "session_id": 995, "sequence_id": 195, "annotations": []}
{"role": "volunteer", "content": "that's perfect", "session_id": 995, "sequence_id": 196, "annotations": []}
{"role": "volunteer", "content": "the hard part of these things is when you have to divide to get from one length to another", "session_id": 995, "sequence_id": 197, "annotations": []}
{"role": "volunteer", "content": "get familiar with the little pics for 45-45-90 and 30-60-90", "session_id": 995, "sequence_id": 198, "annotations": []}
{"role": "volunteer", "content": "and how side lengths relate", "session_id": 995, "sequence_id": 199, "annotations": []}
{"role": "student", "content": "........................I wish the sq roots never existed", "session_id": 995, "sequence_id": 200, "annotations": []}
{"role": "volunteer", "content": "LOL sorry about that", "session_id": 995, "sequence_id": 201, "annotations": []}
{"role": "volunteer", "content": "let's look at that other triangle", "session_id": 995, "sequence_id": 202, "annotations": []}
{"role": "volunteer", "content": "the 45-45-90", "session_id": 995, "sequence_id": 203, "annotations": []}
{"role": "student", "content": "oki", "session_id": 995, "sequence_id": 204, "annotations": []}
{"role": "student", "content": "do we divide them?", "session_id": 995, "sequence_id": 205, "annotations": []}
{"role": "volunteer", "content": "you have your triangle labeled right", "session_id": 995, "sequence_id": 206, "annotations": []}
{"role": "volunteer", "content": "so bridge span to Cable 2 is ?", "session_id": 995, "sequence_id": 207, "annotations": []}
{"role": "student", "content": "24", "session_id": 995, "sequence_id": 208, "annotations": []}
{"role": "volunteer", "content": "perfect", "session_id": 995, "sequence_id": 209, "annotations": []}
{"role": "volunteer", "content": "and the cable length is ?", "session_id": 995, "sequence_id": 210, "annotations": []}
{"role": "student", "content": "...............24 sqrt2?", "session_id": 995, "sequence_id": 211, "annotations": []}
{"role": "volunteer", "content": "yup", "session_id": 995, "sequence_id": 212, "annotations": []}
{"role": "volunteer", "content": "that one was easier :-)", "session_id": 995, "sequence_id": 213, "annotations": []}
{"role": "student", "content": "yea", "session_id": 995, "sequence_id": 214, "annotations": []}
{"role": "volunteer", "content": "other problems?", "session_id": 995, "sequence_id": 215, "annotations": []}
{"role": "student", "content": "nope!", "session_id": 995, "sequence_id": 216, "annotations": []}
{"role": "student", "content": "thank you so much for your help", "session_id": 995, "sequence_id": 217, "annotations": []}
{"role": "student", "content": "You were fun!", "session_id": 995, "sequence_id": 218, "annotations": []}
{"role": "volunteer", "content": "you're welcome!", "session_id": 995, "sequence_id": 219, "annotations": []}
{"role": "volunteer", "content": "oh i'm glad", "session_id": 995, "sequence_id": 220, "annotations": []}
{"role": "student", "content": "have a beautiful day!!", "session_id": 995, "sequence_id": 221, "annotations": []}
{"role": "volunteer", "content": "remember your pics!", "session_id": 995, "sequence_id": 222, "annotations": []}
{"role": "volunteer", "content": "you too", "session_id": 995, "sequence_id": 223, "annotations": []}
{"role": "student", "content": "yup! thank you", "session_id": 995, "sequence_id": 224, "annotations": []}
{"role": "volunteer", "content": "bye for now", "session_id": 995, "sequence_id": 225, "annotations": []}
{"role": "student", "content": "Mia", "session_id": 995, "sequence_id": 226, "annotations": [{"pii_type": "PERSON", "surrogate": "Mia", "start": 0, "end": 3}]}
{"role": "student", "content": "Hi!", "session_id": 1021, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "Hi Jamie! What do you need help with?", "session_id": 1021, "sequence_id": 1, "annotations": [{"pii_type": "PERSON", "surrogate": "Jamie", "start": 3, "end": 8}]}
{"role": "student", "content": "I want to learn how to solve equations with two variables", "session_id": 1021, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "Alright! Could you give me an example?", "session_id": 1021, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "want an example", "session_id": 1021, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "ok", "session_id": 1021, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "Yes please!", "session_id": 1021, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "41=2a+3b", "session_id": 1021, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "Okay! The first thing we can do is to solve for one variable in terms of another variable. Do you know how that works?", "session_id": 1021, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "yes I know one method would you want me to show you it first and then show me another method?", "session_id": 1021, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "I can try! There's really only one method I could think of for solving this beyond graphing though", "session_id": 1021, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "Can you show me the best method", "session_id": 1021, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "I would do it algebraically. Like I said, solving for one variable in terms of another, and then plugging it back into the original problem. I can do it out if you'd like a demonstration", "session_id": 1021, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "i know that way", "session_id": 1021, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "is there any other way", "session_id": 1021, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "Well, another way you could do it is pretending that a and b are the same as x and y. That way, you can solve for a and b independently as if you were solving for the x and y intercepts of a line in standard form", "session_id": 1021, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "So, instead of 41 = 2a + 3b, you can do 41 = 2x + 3y. Then you can solve for the x and y intercepts (which I'm assuming you've learned before this? If not I can explain it)", "session_id": 1021, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "Does that make sense?", "session_id": 1021, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "Hey Jamie, I don't mind if you're working out my explanation, but could you let me know if you're still here?", "session_id": 1021, "sequence_id": 18, "annotations": [{"pii_type": "PERSON", "surrogate": "Jamie", "start": 4, "end": 9}]}
{"role": "volunteer", "content": "Hey Jamie, I need to leave now. Good luck on Algebra 1!", "session_id": 1021, "sequence_id": 19, "annotations": [{"pii_type": "PERSON", "surrogate": "Jamie", "start": 4, "end": 9}]}
{"role": "student", "content": "okay", "session_id": 1042, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "Hello1", "session_id": 1042, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "Hi", "session_id": 1042, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "how can I help you today?", "session_id": 1042, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "I need help with what's on the board", "session_id": 1042, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "sure", "session_id": 1042, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "you have any idea on it?", "session_id": 1042, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "kinda of", "session_id": 1042, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 1042, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "what do you have in mind?", "session_id": 1042, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "can you tell me? and we can start from there?", "session_id": 1042, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "okay", "session_id": 1042, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "first we should do 2 1/3-1 3/4", "session_id": 1042, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "why -?", "session_id": 1042, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "because when you look at a problem and you see left you should automatically think subtract", "session_id": 1042, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "OH", "session_id": 1042, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "yes, but what is the problem asking for left?", "session_id": 1042, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "the sugar", "session_id": 1042, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 1042, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "so what should we subtract", "session_id": 1042, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "5 1/2  and the 1 3/4", "session_id": 1042, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "not quite", "session_id": 1042, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "what is 1 3/4\uff1f", "session_id": 1042, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "the sugar per batch", "session_id": 1042, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 1042, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "OHHH", "session_id": 1042, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "think, if we want to find how much sugar is left, what should we do?", "session_id": 1042, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "_____-_____?", "session_id": 1042, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "so we should do 5 1/2 -2 1/3", "session_id": 1042, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "not quite", "session_id": 1042, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "let's first tell the process in words", "session_id": 1042, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "what's left = ____-_____?", "session_id": 1042, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "can u tell me what you mean by that?", "session_id": 1042, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "what's left = total sugar originally - total sugar used", "session_id": 1042, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "make sense?", "session_id": 1042, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "yes", "session_id": 1042, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "so to find the total sugar we have to Multply?", "session_id": 1042, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "you sure?", "session_id": 1042, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "Mia originally have ....?", "session_id": 1042, "sequence_id": 38, "annotations": [{"pii_type": "PERSON", "surrogate": "Mia", "start": 0, "end": 3}]}
{"role": "student", "content": "5 1/2", "session_id": 1042, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "look in the question", "session_id": 1042, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "yes!!!!!!!", "session_id": 1042, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "now we know how much she originally have", "session_id": 1042, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "then let's find the total sugar used", "session_id": 1042, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "so how much sugar did we totally used?", "session_id": 1042, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "uh", "session_id": 1042, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "can I do the math?", "session_id": 1042, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "sure", "session_id": 1042, "sequence_id": 47, "annotations": []}
{"role": "student", "content": "2 3/12 is the total?", "session_id": 1042, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "you sure you did the calculation right?", "session_id": 1042, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "these are mixed number", "session_id": 1042, "sequence_id": 50, "annotations": []}
{"role": "student", "content": "let me re check again", "session_id": 1042, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "not plain fraction", "session_id": 1042, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "you found the problem?", "session_id": 1042, "sequence_id": 53, "annotations": []}
{"role": "student", "content": "no", "session_id": 1042, "sequence_id": 54, "annotations": []}
{"role": "student", "content": "am confuse what you mean by that?", "session_id": 1042, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "the equation is right, just the calculation", "session_id": 1042, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "so for mixed munber you can't just multiply each part", "session_id": 1042, "sequence_id": 57, "annotations": []}
{"role": "student", "content": "oh you want me to find a common whole?", "session_id": 1042, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "you have to convert them to plain fractions, then multiply the numbers", "session_id": 1042, "sequence_id": 59, "annotations": []}
{"role": "student", "content": "OK", "session_id": 1042, "sequence_id": 60, "annotations": []}
{"role": "student", "content": "but i still got 2 3/12", "session_id": 1042, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "you sure that's how you get the common fraction?", "session_id": 1042, "sequence_id": 62, "annotations": []}
{"role": "student", "content": "oh so that what you meant by that", "session_id": 1042, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "no", "session_id": 1042, "sequence_id": 64, "annotations": []}
{"role": "student", "content": "oh", "session_id": 1042, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "I mean for 2 1/3", "session_id": 1042, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "you can't just leave the 2 out", "session_id": 1042, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "same for 1 3/4", "session_id": 1042, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "you have to convert 2 1/3 to ___/__", "session_id": 1042, "sequence_id": 69, "annotations": []}
{"role": "student", "content": "i am still confused", "session_id": 1042, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "for example", "session_id": 1042, "sequence_id": 71, "annotations": []}
{"role": "student", "content": "OHHH", "session_id": 1042, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "you have to do that first", "session_id": 1042, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "then you can multiply", "session_id": 1042, "sequence_id": 74, "annotations": []}
{"role": "student", "content": "then turn it back?", "session_id": 1042, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "because 2 1/3 is a mixed number", "session_id": 1042, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "turn it back after you do the *", "session_id": 1042, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "now you do it for the other one", "session_id": 1042, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 1042, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "now let's do the *", "session_id": 1042, "sequence_id": 80, "annotations": []}
{"role": "volunteer", "content": "correct", "session_id": 1042, "sequence_id": 81, "annotations": []}
{"role": "volunteer", "content": "now is back to original - used", "session_id": 1042, "sequence_id": 82, "annotations": []}
{"role": "volunteer", "content": "the number we just got is used", "session_id": 1042, "sequence_id": 83, "annotations": []}
{"role": "student", "content": "but I thought that was the total", "session_id": 1042, "sequence_id": 84, "annotations": []}
{"role": "volunteer", "content": "and original is in the question", "session_id": 1042, "sequence_id": 85, "annotations": []}
{"role": "volunteer", "content": "the total used", "session_id": 1042, "sequence_id": 86, "annotations": []}
{"role": "student", "content": "then we just have to -", "session_id": 1042, "sequence_id": 87, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 1042, "sequence_id": 88, "annotations": []}
{"role": "volunteer", "content": "what do we get?", "session_id": 1042, "sequence_id": 89, "annotations": []}
{"role": "student", "content": "1?", "session_id": 1042, "sequence_id": 90, "annotations": []}
{"role": "volunteer", "content": "correct\uff01\uff01\uff01\uff01\uff01\uff01", "session_id": 1042, "sequence_id": 91, "annotations": []}
{"role": "volunteer", "content": "congrats!!!", "session_id": 1042, "sequence_id": 92, "annotations": []}
{"role": "volunteer", "content": "you got it!!!!!!!!!", "session_id": 1042, "sequence_id": 93, "annotations": []}
{"role": "student", "content": "YAYyy", "session_id": 1042, "sequence_id": 94, "annotations": []}
{"role": "volunteer", "content": "any other question?", "session_id": 1042, "sequence_id": 95, "annotations": []}
{"role": "student", "content": "but I have a question", "session_id": 1042, "sequence_id": 96, "annotations": []}
{"role": "volunteer", "content": "\uff1f", "session_id": 1042, "sequence_id": 97, "annotations": []}
{"role": "student", "content": "the question  we dis is multiple choice and it does not say the answer 1?", "session_id": 1042, "sequence_id": 98, "annotations": []}
{"role": "volunteer", "content": "\uff01", "session_id": 1042, "sequence_id": 99, "annotations": []}
{"role": "volunteer", "content": "let me check", "session_id": 1042, "sequence_id": 100, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 1042, "sequence_id": 101, "annotations": []}
{"role": "volunteer", "content": "my bad", "session_id": 1042, "sequence_id": 102, "annotations": []}
{"role": "volunteer", "content": "didn't find that", "session_id": 1042, "sequence_id": 103, "annotations": []}
{"role": "student", "content": "oh", "session_id": 1042, "sequence_id": 104, "annotations": []}
{"role": "volunteer", "content": "the denominator...", "session_id": 1042, "sequence_id": 105, "annotations": []}
{"role": "student", "content": "its 1 4/12", "session_id": 1042, "sequence_id": 106, "annotations": []}
{"role": "volunteer", "content": "you sure", "session_id": 1042, "sequence_id": 107, "annotations": []}
{"role": "volunteer", "content": "?", "session_id": 1042, "sequence_id": 108, "annotations": []}
{"role": "student", "content": "I mean 1 5/12", "session_id": 1042, "sequence_id": 109, "annotations": []}
{"role": "volunteer", "content": "correct!!!!!!!!!!!", "session_id": 1042, "sequence_id": 110, "annotations": []}
{"role": "student", "content": "Yayy", "session_id": 1042, "sequence_id": 111, "annotations": []}
{"role": "volunteer", "content": "this time should be right", "session_id": 1042, "sequence_id": 112, "annotations": []}
{"role": "volunteer", "content": "congrats!!!!!", "session_id": 1042, "sequence_id": 113, "annotations": []}
{"role": "volunteer", "content": "any other questions?", "session_id": 1042, "sequence_id": 114, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 1042, "sequence_id": 115, "annotations": []}
{"role": "volunteer", "content": "sure", "session_id": 1042, "sequence_id": 116, "annotations": []}
{"role": "student", "content": "It also does not say that..", "session_id": 1042, "sequence_id": 117, "annotations": []}
{"role": "student", "content": "heres the answers that it says", "session_id": 1042, "sequence_id": 118, "annotations": []}
{"role": "volunteer", "content": "ok that's weird", "session_id": 1042, "sequence_id": 119, "annotations": []}
{"role": "student", "content": "yea", "session_id": 1042, "sequence_id": 120, "annotations": []}
{"role": "volunteer", "content": "I really don't find a problem", "session_id": 1042, "sequence_id": 121, "annotations": []}
{"role": "student", "content": "yea I think they put the wrong answers", "session_id": 1042, "sequence_id": 122, "annotations": []}
{"role": "volunteer", "content": "Maybe you want to ask your teacher, it might be a typo", "session_id": 1042, "sequence_id": 123, "annotations": []}
{"role": "student", "content": "yea", "session_id": 1042, "sequence_id": 124, "annotations": []}
{"role": "volunteer", "content": "well, other than this question", "session_id": 1042, "sequence_id": 125, "annotations": []}
{"role": "volunteer", "content": "do you have any other?", "session_id": 1042, "sequence_id": 126, "annotations": []}
{"role": "volunteer", "content": "that you need help with", "session_id": 1042, "sequence_id": 127, "annotations": []}
{"role": "volunteer", "content": "?", "session_id": 1042, "sequence_id": 128, "annotations": []}
{"role": "student", "content": "can you help me with another one?", "session_id": 1042, "sequence_id": 129, "annotations": []}
{"role": "volunteer", "content": "sure", "session_id": 1042, "sequence_id": 130, "annotations": []}
{"role": "student", "content": "okay thank you!!!", "session_id": 1042, "sequence_id": 131, "annotations": []}
{"role": "volunteer", "content": "Well, this question is exactly the same as the previous one", "session_id": 1042, "sequence_id": 132, "annotations": []}
{"role": "student", "content": "yea let me put a another one", "session_id": 1042, "sequence_id": 133, "annotations": []}
{"role": "volunteer", "content": "I meant the solving prosses is the same, but with different number", "session_id": 1042, "sequence_id": 134, "annotations": []}
{"role": "student", "content": "yea", "session_id": 1042, "sequence_id": 135, "annotations": []}
{"role": "student", "content": "Can you help me with PedMas i think thats how u spell it", "session_id": 1042, "sequence_id": 136, "annotations": []}
{"role": "volunteer", "content": "?", "session_id": 1042, "sequence_id": 137, "annotations": []}
{"role": "volunteer", "content": "wha do you mean by PedMas?", "session_id": 1042, "sequence_id": 138, "annotations": []}
{"role": "student", "content": "Parentheses I think it was division multiplication addition and subtraction", "session_id": 1042, "sequence_id": 139, "annotations": []}
{"role": "volunteer", "content": "oh", "session_id": 1042, "sequence_id": 140, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 1042, "sequence_id": 141, "annotations": []}
{"role": "volunteer", "content": "sure", "session_id": 1042, "sequence_id": 142, "annotations": []}
{"role": "volunteer", "content": "what problem do you have on it?", "session_id": 1042, "sequence_id": 143, "annotations": []}
{"role": "student", "content": "I cant find so can u just give me a random problem", "session_id": 1042, "sequence_id": 144, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 1042, "sequence_id": 145, "annotations": []}
{"role": "volunteer", "content": "how's that", "session_id": 1042, "sequence_id": 146, "annotations": []}
{"role": "student", "content": "Good", "session_id": 1042, "sequence_id": 147, "annotations": []}
{"role": "volunteer", "content": "you want to try solving it, and I  can point out your problem?", "session_id": 1042, "sequence_id": 148, "annotations": []}
{"role": "student", "content": "okay", "session_id": 1042, "sequence_id": 149, "annotations": []}
{"role": "volunteer", "content": "you do * and / brfore + and -", "session_id": 1042, "sequence_id": 150, "annotations": []}
{"role": "student", "content": "what you mean by that???", "session_id": 1042, "sequence_id": 151, "annotations": []}
{"role": "volunteer", "content": "you can't add 3+8 frist", "session_id": 1042, "sequence_id": 152, "annotations": []}
{"role": "volunteer", "content": "you have to do 27/3 first", "session_id": 1042, "sequence_id": 153, "annotations": []}
{"role": "volunteer", "content": "cause / is higher level than +", "session_id": 1042, "sequence_id": 154, "annotations": []}
{"role": "student", "content": "oh kk", "session_id": 1042, "sequence_id": 155, "annotations": []}
{"role": "student", "content": "so that means we have to do9+8??", "session_id": 1042, "sequence_id": 156, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 1042, "sequence_id": 157, "annotations": []}
{"role": "student", "content": "I got 17!", "session_id": 1042, "sequence_id": 158, "annotations": []}
{"role": "volunteer", "content": "correct!!!!!!!", "session_id": 1042, "sequence_id": 159, "annotations": []}
{"role": "volunteer", "content": "congrats!!", "session_id": 1042, "sequence_id": 160, "annotations": []}
{"role": "student", "content": "yayy", "session_id": 1042, "sequence_id": 161, "annotations": []}
{"role": "student", "content": "thank youu", "session_id": 1042, "sequence_id": 162, "annotations": []}
{"role": "volunteer", "content": "you're welcome", "session_id": 1042, "sequence_id": 163, "annotations": []}
{"role": "volunteer", "content": "any other question?", "session_id": 1042, "sequence_id": 164, "annotations": []}
{"role": "student", "content": "no that's all", "session_id": 1042, "sequence_id": 165, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 1042, "sequence_id": 166, "annotations": []}
{"role": "volunteer", "content": "bye", "session_id": 1042, "sequence_id": 167, "annotations": []}
{"role": "student", "content": "bye", "session_id": 1042, "sequence_id": 168, "annotations": []}
{"role": "volunteer", "content": "have a great day!", "session_id": 1042, "sequence_id": 169, "annotations": []}
{"role": "student", "content": "you to", "session_id": 1042, "sequence_id": 170, "annotations": []}
{"role": "volunteer", "content": "Hi Leo, I'm Maya - what are you working on today?", "session_id": 1062, "sequence_id": 0, "annotations": [{"pii_type": "PERSON", "surrogate": "Leo", "start": 3, "end": 6}, {"pii_type": "PERSON", "surrogate": "Maya", "start": 12, "end": 16}]}
{"role": "student", "content": "Hi I would like some review on the different inequality signs", "session_id": 1062, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "these: < > ?", "session_id": 1062, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "yes and the greater and less than or equal to signs as well", "session_id": 1062, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "Ok :)", "session_id": 1062, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "> is greater than", "session_id": 1062, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "The larger area of the sign matches the larger number", "session_id": 1062, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "< less than - works the same way, the larger area of the sign matches the larger number", "session_id": 1062, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "Okay", "session_id": 1062, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "This one is: x is less than OR equal to 5", "session_id": 1062, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "So it can be 5, 4.999, 4.998, etc", "session_id": 1062, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "this one is x is less than 5, so it can be 4.99999 but not 5", "session_id": 1062, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "Right", "session_id": 1062, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "have you used absolute value with inequality signs?", "session_id": 1062, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "I think so but could you remind me what that is again?", "session_id": 1062, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "This one is x is greater than or equal to 5, so 5, 5.00001 etc", "session_id": 1062, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "sure", "session_id": 1062, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "bad example, hold on :)", "session_id": 1062, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "no worries", "session_id": 1062, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "In this one, the absolute value of x is greater than 3 so x can be greater than three, also the negatives of these numbers work - I'll show you on a number line", "session_id": 1062, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "okay", "session_id": 1062, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "All of these numbers higher than three fit in the equation, they are all higher than 3", "session_id": 1062, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "but also the numbers less than negative three, because when you take their absolute values, the number left is higher than 3", "session_id": 1062, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "So negative 4, take absolute value = 4, and that number works in the equation", "session_id": 1062, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "So inequalities with absolute values will often have answers that look like this - 2 sides of the number line", "session_id": 1062, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "okay", "session_id": 1062, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "And the other tricky thing about inequality signs is - they flip when you divide or multiply both sides by a negative number", "session_id": 1062, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "So if you are trying to solve this problem, you would divide both sides by negative 3 - I'll show you", "session_id": 1062, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "So, you do everything as you would normally, but since you are dividing both sides by negative 3, you flip the inequality sign - tricky!!", "session_id": 1062, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "yeah for sure", "session_id": 1062, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "Do you think you can also help me solve a system of equations with the substitution method?", "session_id": 1062, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "I can try", "session_id": 1062, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "thank you", "session_id": 1062, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "can we try this equation", "session_id": 1062, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "y", "session_id": 1062, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "y=2x+1 x+y=7", "session_id": 1062, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "Ok, in the top equation, the y is already isolated, so that's good", "session_id": 1062, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "I'll substitute it in for the y in the second equation", "session_id": 1062, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "Does that make sense?", "session_id": 1062, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 1062, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "Great!", "session_id": 1062, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "What would you do first here?", "session_id": 1062, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "combine the like terms", "session_id": 1062, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "Great!", "session_id": 1062, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "How about here?", "session_id": 1062, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "then I would subtract 1 from both sides", "session_id": 1062, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "Perfect", "session_id": 1062, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "How about here?", "session_id": 1062, "sequence_id": 47, "annotations": []}
{"role": "student", "content": "then divide by 3 on both sides", "session_id": 1062, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "Great!", "session_id": 1062, "sequence_id": 49, "annotations": []}
{"role": "student", "content": "is that how I would solve it?!", "session_id": 1062, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "Yes, perfect!", "session_id": 1062, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "Once you have x, you can put it back into either equation to get y", "session_id": 1062, "sequence_id": 52, "annotations": []}
{"role": "student", "content": "Okay", "session_id": 1062, "sequence_id": 53, "annotations": []}
{"role": "student", "content": "Thank you for everything, it really helped", "session_id": 1062, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "Great! do you have any other questions?", "session_id": 1062, "sequence_id": 55, "annotations": []}
{"role": "student", "content": "do you think you could quiz me a bit on algebra in general? If its not too much to ask.", "session_id": 1062, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "sure, how about a slightly harder substitution problem?", "session_id": 1062, "sequence_id": 57, "annotations": []}
{"role": "student", "content": "yas thank you", "session_id": 1062, "sequence_id": 58, "annotations": []}
{"role": "student", "content": "how about this one", "session_id": 1062, "sequence_id": 59, "annotations": []}
{"role": "student", "content": "y=3/2x-4 2x-3y=1", "session_id": 1062, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "Is the one on the left correct? no parentheses?", "session_id": 1062, "sequence_id": 61, "annotations": []}
{"role": "student", "content": "no parentheses", "session_id": 1062, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "Ok, we can substitute y into the second equation", "session_id": 1062, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "The first thing I would do is multiply the 3 across the parentheses", "session_id": 1062, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "When I do that, I change it to a plus (negative 3) and multiply the negative three across the parentheses so I don't lose my negative sign", "session_id": 1062, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "Does that make sense?", "session_id": 1062, "sequence_id": 66, "annotations": []}
{"role": "student", "content": "yes", "session_id": 1062, "sequence_id": 67, "annotations": []}
{"role": "student", "content": "Then do we add the like terms?", "session_id": 1062, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 1062, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "you can divide by negative 1 and cancel negatives", "session_id": 1062, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "multiply both sides by 2", "session_id": 1062, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "Then divide both by 5", "session_id": 1062, "sequence_id": 72, "annotations": []}
{"role": "student", "content": "then we can plug 22/5 into the x variable to get y right?", "session_id": 1062, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "yes :)", "session_id": 1062, "sequence_id": 74, "annotations": []}
{"role": "volunteer", "content": "So 3/2 times 22/5 then subtract 4", "session_id": 1062, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "The decimals make it a little easier to go back and check the last equation", "session_id": 1062, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "2x-3y = 1", "session_id": 1062, "sequence_id": 77, "annotations": []}
{"role": "student", "content": "right", "session_id": 1062, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "2(4.4) - 3(2.6) = 1", "session_id": 1062, "sequence_id": 79, "annotations": []}
{"role": "student", "content": "I understand it now thank you", "session_id": 1062, "sequence_id": 80, "annotations": []}
{"role": "volunteer", "content": "That was a crazy one - I hope that helped!!", "session_id": 1062, "sequence_id": 81, "annotations": []}
{"role": "student", "content": "yes it did thank you so much!", "session_id": 1062, "sequence_id": 82, "annotations": []}
{"role": "volunteer", "content": "You're welcome :)", "session_id": 1062, "sequence_id": 83, "annotations": []}
{"role": "student", "content": "Have a good day!", "session_id": 1062, "sequence_id": 84, "annotations": []}
{"role": "volunteer", "content": "You too!", "session_id": 1062, "sequence_id": 85, "annotations": []}
{"role": "student", "content": "Hello", "session_id": 1163, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "hello!!", "session_id": 1163, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "what would you like help with? :3c", "session_id": 1163, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "As of right now I would like help with angles", "session_id": 1163, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "Interior angles, exterior", "session_id": 1163, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "oki do you have a practice problem we can work on? :3c", "session_id": 1163, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "yeah, The measures of the angles of a triangle are shown in the figure below. Solve for x.", "session_id": 1163, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "the measures are  34, x, 49", "session_id": 1163, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "oki do you have an image of the triangle?", "session_id": 1163, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "yeah i just dont know how to send it", "session_id": 1163, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "next to the shapes on the left", "session_id": 1163, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "you can upload images", "session_id": 1163, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "hi Jamie", "session_id": 1171, "sequence_id": 0, "annotations": [{"pii_type": "PERSON", "surrogate": "Jamie", "start": 3, "end": 8}]}
{"role": "student", "content": "Hello!", "session_id": 1171, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "let's get started", "session_id": 1171, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "do you have a math problem for us to work on together?", "session_id": 1171, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "Ok so i have a quiz on, solving a quadratic (factoring and roots), writting equations of parabolas, operations with complex numbers, solving quadratics and completing the squares, and using the discriminant, and finally solving using the quadratic formula, so i kinda need a review on all of them since most we did before break, and ive been having a hard time getting an A in math, i usually get Bs or Cs", "session_id": 1171, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "do you have specific math problems that I can help you with?", "session_id": 1171, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "and I'll explain as we go", "session_id": 1171, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "ok so for example, 8x squared - 55x = 7, i need to solve by factoring but im kinda lost", "session_id": 1171, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "I put it on the board", "session_id": 1171, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "\ud83d\udc4d", "session_id": 1171, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "did you learn that factoring means finding 2 numbers that multiply to the last number and add to the coefficient of the x term in the middle?", "session_id": 1171, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "yea but like we also learned the other ways like putting a space in the place of C, and we had to pick the easiest, we also learned -bsquare root b - 4ac, but the factoring method you mentioned always trips me up im a bit confused on it", "session_id": 1171, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "well, the factoring method I mentioned only works exactly that way when the quadratic starts with x squared. When it starts with 8x^2, you multiply 8 times the -7 at the end to get -56.", "session_id": 1171, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "then find 2 numbers that multiply to -56 and add up to -55", "session_id": 1171, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "oh i see", "session_id": 1171, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "what we need to do first is find those 2 numbers, a and b", "session_id": 1171, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "ok", "session_id": 1171, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "55 and 1?", "session_id": 1171, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "close", "session_id": 1171, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "56 and 1", "session_id": 1171, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "closer", "session_id": 1171, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "one has a - sign", "session_id": 1171, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "56 and -1", "session_id": 1171, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "try one more time. has to add to -55", "session_id": 1171, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "-56 and 1", "session_id": 1171, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 1171, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "ohhh ok", "session_id": 1171, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "see how that works?", "session_id": 1171, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "yes", "session_id": 1171, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "the next part is kind of cool", "session_id": 1171, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "break up -55x into -56x+x (or you can do x-56x, either way works)", "session_id": 1171, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "you with me?", "session_id": 1171, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "yes", "session_id": 1171, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "group the 1st 2 together, the 2nd 2 together", "session_id": 1171, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "why did we add the extra x", "session_id": 1171, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "what can you factor out of the 1st 2?", "session_id": 1171, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "we wrote -55x as -56x+x, using the -56 and 1 that we found before", "session_id": 1171, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "ohhh ok", "session_id": 1171, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "wait maybe im thinking of a different emthod but dont you eventuall get it to (x-56) and (x+1) = 0", "session_id": 1171, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "no", "session_id": 1171, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "oh ok", "session_id": 1171, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "again, that would work if the quadratic started with x^2", "session_id": 1171, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "ohhhh ok", "session_id": 1171, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "and if we found 56 and -1 as the numbers", "session_id": 1171, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "it's a little harder when quadratic doesn't start with x^2", "session_id": 1171, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "what number and what power of x can we factor out of 8x^2-56x ?", "session_id": 1171, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "8x", "session_id": 1171, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "right", "session_id": 1171, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "magic just happened!", "session_id": 1171, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "why is there a 1 and not just +(x-7)", "session_id": 1171, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "we'll need it for the next step. I can multiply anything times 1 without changing its value, can't I?", "session_id": 1171, "sequence_id": 50, "annotations": []}
{"role": "student", "content": "yes", "session_id": 1171, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "do you see something that we can factor out of the last line on the board?", "session_id": 1171, "sequence_id": 52, "annotations": []}
{"role": "student", "content": "x-7", "session_id": 1171, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "yeah", "session_id": 1171, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "we successfully factored!", "session_id": 1171, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "now find the 2 roots", "session_id": 1171, "sequence_id": 56, "annotations": []}
{"role": "student", "content": "would one be 7?", "session_id": 1171, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 1171, "sequence_id": 58, "annotations": []}
{"role": "student", "content": "-1/8 would be the other?", "session_id": 1171, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 1171, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "done", "session_id": 1171, "sequence_id": 61, "annotations": []}
{"role": "student", "content": "yay", "session_id": 1171, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "did that make sense?", "session_id": 1171, "sequence_id": 63, "annotations": []}
{"role": "student", "content": "yes", "session_id": 1171, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "factor when you can. when you can't, use quadratic formula", "session_id": 1171, "sequence_id": 65, "annotations": []}
{"role": "student", "content": "ok for the next one the question is to compute the discriminant, and then determine the number and type of solution for the given equation; 4x squared = -5x - 3", "session_id": 1171, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "ok to clear the board?", "session_id": 1171, "sequence_id": 67, "annotations": []}
{"role": "student", "content": "yes", "session_id": 1171, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "you write this time", "session_id": 1171, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "move everything to the left side of =", "session_id": 1171, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "do you know the formula for discriminant?", "session_id": 1171, "sequence_id": 71, "annotations": []}
{"role": "student", "content": "isnt it -b square root b squared -4ac", "session_id": 1171, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "simpler than that", "session_id": 1171, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "discriminant is just the part inside the radical: b^2-4ac", "session_id": 1171, "sequence_id": 74, "annotations": []}
{"role": "student", "content": "ohhh ok", "session_id": 1171, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "find the discriminant here", "session_id": 1171, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "in the full quadratic formula, we would need to take the sqrt of -23", "session_id": 1171, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "real number?", "session_id": 1171, "sequence_id": 78, "annotations": []}
{"role": "student", "content": "its imaginary right", "session_id": 1171, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "yeah", "session_id": 1171, "sequence_id": 80, "annotations": []}
{"role": "volunteer", "content": "and, full formula has a +- sign, right?", "session_id": 1171, "sequence_id": 81, "annotations": []}
{"role": "student", "content": "it does?", "session_id": 1171, "sequence_id": 82, "annotations": []}
{"role": "student", "content": "rightt it does", "session_id": 1171, "sequence_id": 83, "annotations": []}
{"role": "volunteer", "content": "I'll call the discriminant D and write some facts for you on the board", "session_id": 1171, "sequence_id": 84, "annotations": []}
{"role": "student", "content": "ok", "session_id": 1171, "sequence_id": 85, "annotations": []}
{"role": "volunteer", "content": "when D = 0, the + and the - give you the same thing, right?", "session_id": 1171, "sequence_id": 86, "annotations": []}
{"role": "student", "content": "yes", "session_id": 1171, "sequence_id": 87, "annotations": []}
{"role": "volunteer", "content": "so instead of 2 answers, you only get 1", "session_id": 1171, "sequence_id": 88, "annotations": []}
{"role": "student", "content": "ohhh", "session_id": 1171, "sequence_id": 89, "annotations": []}
{"role": "student", "content": "what about rational and irrational", "session_id": 1171, "sequence_id": 90, "annotations": []}
{"role": "volunteer", "content": "discriminant tells you all sorts of useful things", "session_id": 1171, "sequence_id": 91, "annotations": []}
{"role": "student", "content": "2 complex roots", "session_id": 1171, "sequence_id": 92, "annotations": []}
{"role": "volunteer", "content": "in our example, yes", "session_id": 1171, "sequence_id": 93, "annotations": []}
{"role": "student", "content": "yay", "session_id": 1171, "sequence_id": 94, "annotations": []}
{"role": "student", "content": "when would it be 2 irrational tho", "session_id": 1171, "sequence_id": 95, "annotations": []}
{"role": "volunteer", "content": "D>0, but D not a perfect square", "session_id": 1171, "sequence_id": 96, "annotations": []}
{"role": "volunteer", "content": "then you'd have something like sqrt 2, which is not rational", "session_id": 1171, "sequence_id": 97, "annotations": []}
{"role": "student", "content": "ohh ok", "session_id": 1171, "sequence_id": 98, "annotations": []}
{"role": "student", "content": "ok heres a tough one i dont understand", "session_id": 1171, "sequence_id": 99, "annotations": []}
{"role": "student", "content": "The formula N = 2x squared + 4x+1 represents the number of households N, in a certain city that have computers x years after 1990. According to the formula, in what year were there 49 thousand housholds with computers in this city?", "session_id": 1171, "sequence_id": 100, "annotations": []}
{"role": "volunteer", "content": "just replace N wit 49000, solve for x", "session_id": 1171, "sequence_id": 101, "annotations": []}
{"role": "volunteer", "content": "*N with", "session_id": 1171, "sequence_id": 102, "annotations": []}
{"role": "volunteer", "content": "need everything on one side as a quadratic that = 0", "session_id": 1171, "sequence_id": 103, "annotations": []}
{"role": "volunteer", "content": "subtract 49000 from both sides", "session_id": 1171, "sequence_id": 104, "annotations": []}
{"role": "student", "content": "k", "session_id": 1171, "sequence_id": 105, "annotations": []}
{"role": "volunteer", "content": "I'm gonna guess that we can't factor that", "session_id": 1171, "sequence_id": 106, "annotations": []}
{"role": "student", "content": "yea thats where i was stuck", "session_id": 1171, "sequence_id": 107, "annotations": []}
{"role": "volunteer", "content": "quadratic formula", "session_id": 1171, "sequence_id": 108, "annotations": []}
{"role": "volunteer", "content": "starts with -b", "session_id": 1171, "sequence_id": 109, "annotations": []}
{"role": "volunteer", "content": "not -", "session_id": 1171, "sequence_id": 110, "annotations": []}
{"role": "volunteer", "content": "- times - is plus", "session_id": 1171, "sequence_id": 111, "annotations": []}
{"role": "student", "content": "right", "session_id": 1171, "sequence_id": 112, "annotations": []}
{"role": "volunteer", "content": "so adding to 16 instead of subtracting from it", "session_id": 1171, "sequence_id": 113, "annotations": []}
{"role": "student", "content": "k lemme calculate that", "session_id": 1171, "sequence_id": 114, "annotations": []}
{"role": "volunteer", "content": "yeah", "session_id": 1171, "sequence_id": 115, "annotations": []}
{"role": "volunteer", "content": "2 solutions, one neg, one positive. do we need both of them here?", "session_id": 1171, "sequence_id": 116, "annotations": []}
{"role": "student", "content": "yes", "session_id": 1171, "sequence_id": 117, "annotations": []}
{"role": "volunteer", "content": "x is years AFTER 1990", "session_id": 1171, "sequence_id": 118, "annotations": []}
{"role": "volunteer", "content": "can x be negative?", "session_id": 1171, "sequence_id": 119, "annotations": []}
{"role": "student", "content": "no", "session_id": 1171, "sequence_id": 120, "annotations": []}
{"role": "volunteer", "content": "so, only need the positive answer when you write the next line", "session_id": 1171, "sequence_id": 121, "annotations": []}
{"role": "student", "content": "so is that the answer?", "session_id": 1171, "sequence_id": 122, "annotations": []}
{"role": "volunteer", "content": "no", "session_id": 1171, "sequence_id": 123, "annotations": []}
{"role": "volunteer", "content": "need to evaluate that with calculator", "session_id": 1171, "sequence_id": 124, "annotations": []}
{"role": "student", "content": "ok", "session_id": 1171, "sequence_id": 125, "annotations": []}
{"role": "volunteer", "content": "the way the problem is phrased, I think they want you to use a number of years that is an integer", "session_id": 1171, "sequence_id": 126, "annotations": []}
{"role": "volunteer", "content": "after 155 years, it's still a little under 49000", "session_id": 1171, "sequence_id": 127, "annotations": []}
{"role": "volunteer", "content": "need to add years to get over 49000", "session_id": 1171, "sequence_id": 128, "annotations": []}
{"role": "volunteer", "content": "and they ask for the year, so calculate", "session_id": 1171, "sequence_id": 129, "annotations": []}
{"role": "student", "content": "2146", "session_id": 1171, "sequence_id": 130, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 1171, "sequence_id": 131, "annotations": []}
{"role": "volunteer", "content": "we'll both be dead by then", "session_id": 1171, "sequence_id": 132, "annotations": []}
{"role": "student", "content": "ha yea", "session_id": 1171, "sequence_id": 133, "annotations": []}
{"role": "volunteer", "content": "and then we won't have to do algebra anymore", "session_id": 1171, "sequence_id": 134, "annotations": []}
{"role": "student", "content": "yes my dream", "session_id": 1171, "sequence_id": 135, "annotations": []}
{"role": "volunteer", "content": "I'm still doing it, and I don't want to tell you how many years it's been for me!!!!", "session_id": 1171, "sequence_id": 136, "annotations": []}
{"role": "student", "content": "i cant even imagine, well thank you for the explanation!", "session_id": 1171, "sequence_id": 137, "annotations": []}
{"role": "volunteer", "content": "yw", "session_id": 1171, "sequence_id": 138, "annotations": []}
{"role": "volunteer", "content": "Hi there! How can I help you today?", "session_id": 3773, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "hi im working on writing a linear equation on a graph", "session_id": 3773, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "i have ixl idk if you know what that is but i just have to answer questions", "session_id": 3773, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "and idk what to do", "session_id": 3773, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "I do know what IXL is, thanks for asking. Would you like to take a picture of the question and post it here so that we can work on them together?", "session_id": 3773, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "yes", "session_id": 3773, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "im doing y=mx", "session_id": 3773, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "I see", "session_id": 3773, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "Do we know what slope is?", "session_id": 3773, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 3773, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "rise/run", "session_id": 3773, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "yeah", "session_id": 3773, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": ":)", "session_id": 3773, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "So, this is pretty easy in my opinion.", "session_id": 3773, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "You just have to find the slope and put the y intercept right next to it.", "session_id": 3773, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "oh", "session_id": 3773, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "Can you tell me what the slope is?", "session_id": 3773, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "1/6?", "session_id": 3773, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "Close, are you sure it's 6?", "session_id": 3773, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "oh 1/5", "session_id": 3773, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "Correct!", "session_id": 3773, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "Now, where does the line cross the y axis?", "session_id": 3773, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "2?", "session_id": 3773, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "That's all you had to do!", "session_id": 3773, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "oh ok", "session_id": 3773, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "We just had to enter our values from the graph, into our formula.", "session_id": 3773, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "Would you like to do some more questions with me, so that I'm still here to help you if needed?", "session_id": 3773, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 3773, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "i'll upload the pic", "session_id": 3773, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "Alright, this time I'll let you do it and I'll just tell you if you are correct or wrong and if you are wrong I'll tell you.", "session_id": 3773, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "ok", "session_id": 3773, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "The reason is that, I want you to be able to solve this even without me.", "session_id": 3773, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "ok", "session_id": 3773, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "You'll do great, though!", "session_id": 3773, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "y = MX+b you've got this!", "session_id": 3773, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "is it y=2/3x+1", "session_id": 3773, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "?", "session_id": 3773, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "Close, which way is the graph going?", "session_id": 3773, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "down", "session_id": 3773, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "so -2/3?", "session_id": 3773, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "That would be correct!!!", "session_id": 3773, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "Because, the graph is going into the negative territory, which shows that it's headed into the negatives.", "session_id": 3773, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "ohh ok", "session_id": 3773, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": ":)", "session_id": 3773, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "y= -2/3 +1 is correct", "session_id": 3773, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": ":)", "session_id": 3773, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "i have another", "session_id": 3773, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "Sure, bring it on!", "session_id": 3773, "sequence_id": 47, "annotations": []}
{"role": "student", "content": "im not sure about this one bc of where it starts", "session_id": 3773, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "Tip: If you don't know where it starts, then try starting from the y-intercept.", "session_id": 3773, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "What is the y-intercept?", "session_id": 3773, "sequence_id": 50, "annotations": []}
{"role": "student", "content": "-5?", "session_id": 3773, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "That would be correct!", "session_id": 3773, "sequence_id": 52, "annotations": []}
{"role": "student", "content": "so is it", "session_id": 3773, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "Now, start counting from -5", "session_id": 3773, "sequence_id": 54, "annotations": []}
{"role": "student", "content": "y=1/2x-5", "session_id": 3773, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "Close again", "session_id": 3773, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "Which way is the graph headed?", "session_id": 3773, "sequence_id": 57, "annotations": []}
{"role": "student", "content": "oh", "session_id": 3773, "sequence_id": 58, "annotations": []}
{"role": "student", "content": "down", "session_id": 3773, "sequence_id": 59, "annotations": []}
{"role": "student", "content": "so -1/2", "session_id": 3773, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "Correct!", "session_id": 3773, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "Don't forget about when the slope can be negative! :)", "session_id": 3773, "sequence_id": 62, "annotations": []}
{"role": "student", "content": "oh ok", "session_id": 3773, "sequence_id": 63, "annotations": []}
{"role": "student", "content": "well thats all", "session_id": 3773, "sequence_id": 64, "annotations": []}
{"role": "student", "content": "thank you!", "session_id": 3773, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "No problem!", "session_id": 3773, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "I hope I helped you learn a new skill today!", "session_id": 3773, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "Also, if you need help again, or feel confused/stuck on something, then please do make a new help ticket and we would be happy to help you! :)", "session_id": 3773, "sequence_id": 68, "annotations": []}
{"role": "student", "content": "ok", "session_id": 3773, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "It was a true honor teaching you today, and I hope you have a great rest of your day!", "session_id": 3773, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "hi", "session_id": 3784, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "hi i was wondering if you could help me with my geometry question", "session_id": 3784, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "can you see my screen?", "session_id": 3784, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 3784, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "it asks for a reflection over the given line.", "session_id": 3784, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "Oh no", "session_id": 3784, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "hello?", "session_id": 3784, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "its this question", "session_id": 3784, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "So you know", "session_id": 3784, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "Oh", "session_id": 3784, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "Hello.", "session_id": 3784, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "Can you hear me", "session_id": 3784, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "I have worked with reflections over the x axis and y axis.", "session_id": 3784, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "could you show the example for the question?", "session_id": 3784, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "I can hear you now. I'm sorry.", "session_id": 3784, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "Um, can you hear me now?", "session_id": 3784, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "Yes, I can", "session_id": 3784, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "Oh, OK, that's good. Um, I was wondering if you could help me with my geometry homework.", "session_id": 3784, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "OK. Um, I need to see the example. I've worked with reflection over the X-axis or the y axis or of a vertical line.", "session_id": 3784, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "You.", "session_id": 3784, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "but if you could click on", "session_id": 3784, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 3784, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "uh where it says in the top right, show example. I wanna see how they plot that.", "session_id": 3784, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "It just shows that, and at the bottom it says lo dotted lines. It just says negative.", "session_id": 3784, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "Ah, the slope is gonna be perpendicular. If our slope is 1/3, we would use a slope of 3 and", "session_id": 3784, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "use one, take each vertices and plot", "session_id": 3784, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "the new slope", "session_id": 3784, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "uh, so.", "session_id": 3784, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "If you want, there's more examples we can see, like this one, it's 1/3 and then how do you take any?", "session_id": 3784, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "the slope is gonna be 3, so they go up 3 and over 1, OK?", "session_id": 3784, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "OK", "session_id": 3784, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "OK", "session_id": 3784, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "So are we gonna do the 1/3 x minus 3 or that first one you showed me.", "session_id": 3784, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "Um, this one.", "session_id": 3784, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "OK, so we need to know, OK, 1/3", "session_id": 3784, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "um.", "session_id": 3784, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "I", "session_id": 3784, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "Yes, OK. So the slope is 3.", "session_id": 3784, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "It's", "session_id": 3784, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "So", "session_id": 3784, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "you know", "session_id": 3784, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "take that point, go up 3.", "session_id": 3784, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "like", "session_id": 3784, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "go over, yeah, and then go to the left.", "session_id": 3784, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "one", "session_id": 3784, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 3784, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "So I thought, I plotted there, right?", "session_id": 3784, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "Yes, yes", "session_id": 3784, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "Well.", "session_id": 3784, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "I do the, do I do the same one for this one?", "session_id": 3784, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "same thing, go up 3.", "session_id": 3784, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "over 1, plot", "session_id": 3784, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "not connect, yeah, you connect and yeah. The first", "session_id": 3784, "sequence_id": 52, "annotations": []}
{"role": "student", "content": "It connects by itself.", "session_id": 3784, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "yes, and then go to the 3rd 1, go up 3.", "session_id": 3784, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "go to the left, one.", "session_id": 3784, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "So it really didn't reflect over or we maybe go up 3 again.", "session_id": 3784, "sequence_id": 56, "annotations": []}
{"role": "student", "content": "Um, you wanna.", "session_id": 3784, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "or go, or go back to the original.", "session_id": 3784, "sequence_id": 58, "annotations": []}
{"role": "student", "content": "Yeah, um,", "session_id": 3784, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "but that didn't show a true reflect.", "session_id": 3784, "sequence_id": 60, "annotations": []}
{"role": "student", "content": "wouldn't we, wouldn't we go down 3?", "session_id": 3784, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "No, no, go all the way up 6.", "session_id": 3784, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "and go over to", "session_id": 3784, "sequence_id": 63, "annotations": []}
{"role": "student", "content": "Right here?", "session_id": 3784, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "did you go over 2?", "session_id": 3784, "sequence_id": 65, "annotations": []}
{"role": "student", "content": "Oh, what do you mean over to like?", "session_id": 3784, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "Yeah, go, OK, go up 6.", "session_id": 3784, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "Now go to the left", "session_id": 3784, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "2 units", "session_id": 3784, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "plot", "session_id": 3784, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "same thing on the other one.", "session_id": 3784, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "Mhm.", "session_id": 3784, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "OK. I'm not, somehow I'm not, I'm, I'm doing a slide. I'm not doing a", "session_id": 3784, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "they do a flip, didn't they?", "session_id": 3784, "sequence_id": 74, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 3784, "sequence_id": 75, "annotations": []}
{"role": "student", "content": "I mean, I don't know cause it shows it like that, so it's like.", "session_id": 3784, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "Ah", "session_id": 3784, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "but that's almost parallel to the green line.", "session_id": 3784, "sequence_id": 78, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 3784, "sequence_id": 79, "annotations": []}
{"role": "student", "content": "wait, I'll see", "session_id": 3784, "sequence_id": 80, "annotations": []}
{"role": "student", "content": "you know", "session_id": 3784, "sequence_id": 81, "annotations": []}
{"role": "volunteer", "content": "That is weird. OK, do the line, that one they're using that one.", "session_id": 3784, "sequence_id": 82, "annotations": []}
{"role": "volunteer", "content": "Weird", "session_id": 3784, "sequence_id": 83, "annotations": []}
{"role": "volunteer", "content": "They're using the slope", "session_id": 3784, "sequence_id": 84, "annotations": []}
{"role": "volunteer", "content": "and then they slide it and", "session_id": 3784, "sequence_id": 85, "annotations": []}
{"role": "volunteer", "content": "flip it", "session_id": 3784, "sequence_id": 86, "annotations": []}
{"role": "volunteer", "content": "slide it and flipping.", "session_id": 3784, "sequence_id": 87, "annotations": []}
{"role": "volunteer", "content": "Let us try again.", "session_id": 3784, "sequence_id": 88, "annotations": []}
{"role": "student", "content": "I take", "session_id": 3784, "sequence_id": 89, "annotations": []}
{"role": "student", "content": "Please.", "session_id": 3784, "sequence_id": 90, "annotations": []}
{"role": "volunteer", "content": "OK. Let's go back to ours.", "session_id": 3784, "sequence_id": 91, "annotations": []}
{"role": "student", "content": "Um, do I unplum?", "session_id": 3784, "sequence_id": 92, "annotations": []}
{"role": "volunteer", "content": "Yeah, take that away", "session_id": 3784, "sequence_id": 93, "annotations": []}
{"role": "student", "content": "Yeah.", "session_id": 3784, "sequence_id": 94, "annotations": []}
{"role": "student", "content": "OK", "session_id": 3784, "sequence_id": 95, "annotations": []}
{"role": "volunteer", "content": "Take, take the point closest.", "session_id": 3784, "sequence_id": 96, "annotations": []}
{"role": "volunteer", "content": "and do the slope of 3.", "session_id": 3784, "sequence_id": 97, "annotations": []}
{"role": "volunteer", "content": "Uh", "session_id": 3784, "sequence_id": 98, "annotations": []}
{"role": "student", "content": "So, up 3 or 1?", "session_id": 3784, "sequence_id": 99, "annotations": []}
{"role": "volunteer", "content": "oh no, no, no, the one", "session_id": 3784, "sequence_id": 100, "annotations": []}
{"role": "volunteer", "content": "farthest to the right.", "session_id": 3784, "sequence_id": 101, "annotations": []}
{"role": "volunteer", "content": "the left, fartherest to the right.", "session_id": 3784, "sequence_id": 102, "annotations": []}
{"role": "student", "content": "This one?", "session_id": 3784, "sequence_id": 103, "annotations": []}
{"role": "volunteer", "content": "Yes, go up 3", "session_id": 3784, "sequence_id": 104, "annotations": []}
{"role": "volunteer", "content": "over 1.", "session_id": 3784, "sequence_id": 105, "annotations": []}
{"role": "volunteer", "content": "Now, how do we do the dotted line thing. Hmm.", "session_id": 3784, "sequence_id": 106, "annotations": []}
{"role": "volunteer", "content": "That looks good", "session_id": 3784, "sequence_id": 107, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 3784, "sequence_id": 108, "annotations": []}
{"role": "volunteer", "content": "Uh, which point do we want to try now? Try the lower point.", "session_id": 3784, "sequence_id": 109, "annotations": []}
{"role": "student", "content": "Wait, which one?", "session_id": 3784, "sequence_id": 110, "annotations": []}
{"role": "volunteer", "content": "Yeah, the, the one near the -9.", "session_id": 3784, "sequence_id": 111, "annotations": []}
{"role": "student", "content": "Uh this one.", "session_id": 3784, "sequence_id": 112, "annotations": []}
{"role": "volunteer", "content": "No, no, no, go low, there we are.", "session_id": 3784, "sequence_id": 113, "annotations": []}
{"role": "student", "content": "Oh, this one", "session_id": 3784, "sequence_id": 114, "annotations": []}
{"role": "volunteer", "content": "OK, go up 3.", "session_id": 3784, "sequence_id": 115, "annotations": []}
{"role": "volunteer", "content": "Go up 3 more maybe. Yeah.", "session_id": 3784, "sequence_id": 116, "annotations": []}
{"role": "volunteer", "content": "Go over to", "session_id": 3784, "sequence_id": 117, "annotations": []}
{"role": "volunteer", "content": "No, that's not working.", "session_id": 3784, "sequence_id": 118, "annotations": []}
{"role": "student", "content": "on.", "session_id": 3784, "sequence_id": 119, "annotations": []}
{"role": "volunteer", "content": "OK. Take the last point away.", "session_id": 3784, "sequence_id": 120, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 3784, "sequence_id": 121, "annotations": []}
{"role": "student", "content": "The last point, um, the one we just did.", "session_id": 3784, "sequence_id": 122, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 3784, "sequence_id": 123, "annotations": []}
{"role": "volunteer", "content": "OK. Use the point mute -7.", "session_id": 3784, "sequence_id": 124, "annotations": []}
{"role": "student", "content": "Yeah.", "session_id": 3784, "sequence_id": 125, "annotations": []}
{"role": "volunteer", "content": "You go up 3", "session_id": 3784, "sequence_id": 126, "annotations": []}
{"role": "student", "content": "I", "session_id": 3784, "sequence_id": 127, "annotations": []}
{"role": "volunteer", "content": "over", "session_id": 3784, "sequence_id": 128, "annotations": []}
{"role": "volunteer", "content": "1", "session_id": 3784, "sequence_id": 129, "annotations": []}
{"role": "student", "content": "I", "session_id": 3784, "sequence_id": 130, "annotations": []}
{"role": "volunteer", "content": "No, no, no, no", "session_id": 3784, "sequence_id": 131, "annotations": []}
{"role": "student", "content": "Ah, this is good.", "session_id": 3784, "sequence_id": 132, "annotations": []}
{"role": "volunteer", "content": "I don't know how to get it to flip.", "session_id": 3784, "sequence_id": 133, "annotations": []}
{"role": "student", "content": "It's OK.", "session_id": 3784, "sequence_id": 134, "annotations": []}
{"role": "volunteer", "content": "That is weird", "session_id": 3784, "sequence_id": 135, "annotations": []}
{"role": "student", "content": "Uh, no, this is really hard for me to like,", "session_id": 3784, "sequence_id": 136, "annotations": []}
{"role": "volunteer", "content": "Are all of yours that type of question or some gonna be different?", "session_id": 3784, "sequence_id": 137, "annotations": []}
{"role": "student", "content": "Um, I already did every like everything else here. I just need that one, and that's uh to complete the assignment.", "session_id": 3784, "sequence_id": 138, "annotations": []}
{"role": "volunteer", "content": "Let me check on my, let me look up", "session_id": 3784, "sequence_id": 139, "annotations": []}
{"role": "student", "content": "like", "session_id": 3784, "sequence_id": 140, "annotations": []}
{"role": "student", "content": "hair.", "session_id": 3784, "sequence_id": 141, "annotations": []}
{"role": "volunteer", "content": "what I can find here.", "session_id": 3784, "sequence_id": 142, "annotations": []}
{"role": "student", "content": "I.", "session_id": 3784, "sequence_id": 143, "annotations": []}
{"role": "student", "content": "Oh, poor baby", "session_id": 3784, "sequence_id": 144, "annotations": []}
{"role": "student", "content": "Yeah.", "session_id": 3784, "sequence_id": 145, "annotations": []}
{"role": "student", "content": "Yes.", "session_id": 3784, "sequence_id": 146, "annotations": []}
{"role": "student", "content": "Mm", "session_id": 3784, "sequence_id": 147, "annotations": []}
{"role": "student", "content": "important thing.", "session_id": 3784, "sequence_id": 148, "annotations": []}
{"role": "student", "content": "They're not.", "session_id": 3784, "sequence_id": 149, "annotations": []}
{"role": "student", "content": "seas", "session_id": 3784, "sequence_id": 150, "annotations": []}
{"role": "student", "content": "including when times so.", "session_id": 3784, "sequence_id": 151, "annotations": []}
{"role": "student", "content": "I forget the sales poina consider devio.", "session_id": 3784, "sequence_id": 152, "annotations": []}
{"role": "student", "content": "This is I only come up and I think because I mean yeah I'm no I I might be.", "session_id": 3784, "sequence_id": 153, "annotations": []}
{"role": "student", "content": "I know.", "session_id": 3784, "sequence_id": 154, "annotations": []}
{"role": "student", "content": "internet.", "session_id": 3784, "sequence_id": 155, "annotations": []}
{"role": "volunteer", "content": "It says find the perpendicular distance.", "session_id": 3784, "sequence_id": 156, "annotations": []}
{"role": "student", "content": "What.", "session_id": 3784, "sequence_id": 157, "annotations": []}
{"role": "volunteer", "content": "from each vertex. So that, they're not showing that mathematical computation.", "session_id": 3784, "sequence_id": 158, "annotations": []}
{"role": "volunteer", "content": "Yes", "session_id": 3784, "sequence_id": 159, "annotations": []}
{"role": "student", "content": "My mom miss that too but hello?", "session_id": 3784, "sequence_id": 160, "annotations": []}
{"role": "student", "content": "I'm sorry, what, what did you say? My parents were talking.", "session_id": 3784, "sequence_id": 161, "annotations": []}
{"role": "volunteer", "content": "It says find the perpendicular distance from each vertex to the line.", "session_id": 3784, "sequence_id": 162, "annotations": []}
{"role": "student", "content": "Yeah.", "session_id": 3784, "sequence_id": 163, "annotations": []}
{"role": "volunteer", "content": "You actually have to do some uh computation there.", "session_id": 3784, "sequence_id": 164, "annotations": []}
{"role": "volunteer", "content": "So", "session_id": 3784, "sequence_id": 165, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 3784, "sequence_id": 166, "annotations": []}
{"role": "volunteer", "content": "if I'm at the -7.", "session_id": 3784, "sequence_id": 167, "annotations": []}
{"role": "student", "content": "like", "session_id": 3784, "sequence_id": 168, "annotations": []}
{"role": "volunteer", "content": "I'm going up 3/1 so I'm making the right triangle, in other words.", "session_id": 3784, "sequence_id": 169, "annotations": []}
{"role": "student", "content": "No.", "session_id": 3784, "sequence_id": 170, "annotations": []}
{"role": "volunteer", "content": "um", "session_id": 3784, "sequence_id": 171, "annotations": []}
{"role": "volunteer", "content": "I was trying to see what their math was.", "session_id": 3784, "sequence_id": 172, "annotations": []}
{"role": "student", "content": "continue.", "session_id": 3784, "sequence_id": 173, "annotations": []}
{"role": "student", "content": "I'll see there's a lot.", "session_id": 3784, "sequence_id": 174, "annotations": []}
{"role": "volunteer", "content": "and move the same distance.", "session_id": 3784, "sequence_id": 175, "annotations": []}
{"role": "student", "content": "see", "session_id": 3784, "sequence_id": 176, "annotations": []}
{"role": "student", "content": "quite", "session_id": 3784, "sequence_id": 177, "annotations": []}
{"role": "volunteer", "content": "Mhm", "session_id": 3784, "sequence_id": 178, "annotations": []}
{"role": "student", "content": "me.", "session_id": 3784, "sequence_id": 179, "annotations": []}
{"role": "volunteer", "content": "OK. Uh label the three corners.", "session_id": 3784, "sequence_id": 180, "annotations": []}
{"role": "student", "content": "01.", "session_id": 3784, "sequence_id": 181, "annotations": []}
{"role": "student", "content": "I want that on high.", "session_id": 3784, "sequence_id": 182, "annotations": []}
{"role": "volunteer", "content": "OK, we've got the three corners.", "session_id": 3784, "sequence_id": 183, "annotations": []}
{"role": "volunteer", "content": "Count", "session_id": 3784, "sequence_id": 184, "annotations": []}
{"role": "student", "content": "OK", "session_id": 3784, "sequence_id": 185, "annotations": []}
{"role": "student", "content": "I can see.", "session_id": 3784, "sequence_id": 186, "annotations": []}
{"role": "volunteer", "content": "the diagonal count the squares diagonally until you hit the line. So", "session_id": 3784, "sequence_id": 187, "annotations": []}
{"role": "volunteer", "content": "if, if I'm here at -7 and I go 1", "session_id": 3784, "sequence_id": 188, "annotations": []}
{"role": "volunteer", "content": "12,", "session_id": 3784, "sequence_id": 189, "annotations": []}
{"role": "student", "content": "Well", "session_id": 3784, "sequence_id": 190, "annotations": []}
{"role": "volunteer", "content": "It's like 2.15.", "session_id": 3784, "sequence_id": 191, "annotations": []}
{"role": "student", "content": "It's", "session_id": 3784, "sequence_id": 192, "annotations": []}
{"role": "volunteer", "content": "That's weird. And then I'm gonna go", "session_id": 3784, "sequence_id": 193, "annotations": []}
{"role": "student", "content": "OK", "session_id": 3784, "sequence_id": 194, "annotations": []}
{"role": "volunteer", "content": "one", "session_id": 3784, "sequence_id": 195, "annotations": []}
{"role": "student", "content": "that's not bad. It's.", "session_id": 3784, "sequence_id": 196, "annotations": []}
{"role": "volunteer", "content": "2, 2.5.", "session_id": 3784, "sequence_id": 197, "annotations": []}
{"role": "student", "content": "I know it's sign up on it.", "session_id": 3784, "sequence_id": 198, "annotations": []}
{"role": "volunteer", "content": "Yeah, that's what's going on.", "session_id": 3784, "sequence_id": 199, "annotations": []}
{"role": "volunteer", "content": "OK, so erase.", "session_id": 3784, "sequence_id": 200, "annotations": []}
{"role": "student", "content": "Then you want to look here.", "session_id": 3784, "sequence_id": 201, "annotations": []}
{"role": "student", "content": "Um, I raised a point.", "session_id": 3784, "sequence_id": 202, "annotations": []}
{"role": "volunteer", "content": "Yeah, yeah", "session_id": 3784, "sequence_id": 203, "annotations": []}
{"role": "student", "content": "Both of them?", "session_id": 3784, "sequence_id": 204, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 3784, "sequence_id": 205, "annotations": []}
{"role": "volunteer", "content": "So", "session_id": 3784, "sequence_id": 206, "annotations": []}
{"role": "volunteer", "content": "I'm trying to count", "session_id": 3784, "sequence_id": 207, "annotations": []}
{"role": "student", "content": "this is", "session_id": 3784, "sequence_id": 208, "annotations": []}
{"role": "volunteer", "content": "from corner to corner.", "session_id": 3784, "sequence_id": 209, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 3784, "sequence_id": 210, "annotations": []}
{"role": "volunteer", "content": "I'm going 12,", "session_id": 3784, "sequence_id": 211, "annotations": []}
{"role": "volunteer", "content": "2.15 gets me to the blue line.", "session_id": 3784, "sequence_id": 212, "annotations": []}
{"role": "student", "content": "OK, is it?", "session_id": 3784, "sequence_id": 213, "annotations": []}
{"role": "student", "content": "OK", "session_id": 3784, "sequence_id": 214, "annotations": []}
{"role": "volunteer", "content": "So then I want to go 2.5 units again, 1.5, 15.", "session_id": 3784, "sequence_id": 215, "annotations": []}
{"role": "student", "content": "What was", "session_id": 3784, "sequence_id": 216, "annotations": []}
{"role": "student", "content": "the", "session_id": 3784, "sequence_id": 217, "annotations": []}
{"role": "volunteer", "content": "So go to -7-2.", "session_id": 3784, "sequence_id": 218, "annotations": []}
{"role": "volunteer", "content": "Go to -7, 2, yes.", "session_id": 3784, "sequence_id": 219, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 3784, "sequence_id": 220, "annotations": []}
{"role": "student", "content": "Maybe some kind of too.", "session_id": 3784, "sequence_id": 221, "annotations": []}
{"role": "volunteer", "content": "Now", "session_id": 3784, "sequence_id": 222, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 3784, "sequence_id": 223, "annotations": []}
{"role": "volunteer", "content": "go to", "session_id": 3784, "sequence_id": 224, "annotations": []}
{"role": "volunteer", "content": "I don't know, can you see my little hand?", "session_id": 3784, "sequence_id": 225, "annotations": []}
{"role": "student", "content": "Um, let me see.", "session_id": 3784, "sequence_id": 226, "annotations": []}
{"role": "volunteer", "content": "It's around this", "session_id": 3784, "sequence_id": 227, "annotations": []}
{"role": "student", "content": "No, no, no, uh,", "session_id": 3784, "sequence_id": 228, "annotations": []}
{"role": "volunteer", "content": "OK. You're at, your other vertices is at -7, 7, correct?", "session_id": 3784, "sequence_id": 229, "annotations": []}
{"role": "student", "content": "Uh, yeah.", "session_id": 3784, "sequence_id": 230, "annotations": []}
{"role": "volunteer", "content": "OK. I'm gonna go 1", "session_id": 3784, "sequence_id": 231, "annotations": []}
{"role": "student", "content": "2.", "session_id": 3784, "sequence_id": 232, "annotations": []}
{"role": "volunteer", "content": "I'm gonna go corner to corner.", "session_id": 3784, "sequence_id": 233, "annotations": []}
{"role": "student", "content": "Wait,", "session_id": 3784, "sequence_id": 234, "annotations": []}
{"role": "student", "content": "are you doing it like on the whiteboard?", "session_id": 3784, "sequence_id": 235, "annotations": []}
{"role": "volunteer", "content": "Yes. Well, no, I'm actually", "session_id": 3784, "sequence_id": 236, "annotations": []}
{"role": "volunteer", "content": "on your screen, which isn't working. OK, you're at -7, 7. I want you to go", "session_id": 3784, "sequence_id": 237, "annotations": []}
{"role": "volunteer", "content": "up", "session_id": 3784, "sequence_id": 238, "annotations": []}
{"role": "volunteer", "content": "diagonal, go, go diagonal, go across.", "session_id": 3784, "sequence_id": 239, "annotations": []}
{"role": "student", "content": "Oh", "session_id": 3784, "sequence_id": 240, "annotations": []}
{"role": "volunteer", "content": "to the opposite corner near the line. No, come back.", "session_id": 3784, "sequence_id": 241, "annotations": []}
{"role": "student", "content": "then", "session_id": 3784, "sequence_id": 242, "annotations": []}
{"role": "student", "content": "like that", "session_id": 3784, "sequence_id": 243, "annotations": []}
{"role": "volunteer", "content": "Yes, yes. Now, wait a minute.", "session_id": 3784, "sequence_id": 244, "annotations": []}
{"role": "volunteer", "content": "Go.", "session_id": 3784, "sequence_id": 245, "annotations": []}
{"role": "student", "content": "You don't have to work on it.", "session_id": 3784, "sequence_id": 246, "annotations": []}
{"role": "volunteer", "content": "go a little more", "session_id": 3784, "sequence_id": 247, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 3784, "sequence_id": 248, "annotations": []}
{"role": "volunteer", "content": "You're not gonna be an exactly a spot, but that's gonna be close where you are.", "session_id": 3784, "sequence_id": 249, "annotations": []}
{"role": "student", "content": "I'm", "session_id": 3784, "sequence_id": 250, "annotations": []}
{"role": "student", "content": "I'm.", "session_id": 3784, "sequence_id": 251, "annotations": []}
{"role": "volunteer", "content": "OK, now we've got the other point. We're gonna go.", "session_id": 3784, "sequence_id": 252, "annotations": []}
{"role": "student", "content": "I not it or do I just leave it there?", "session_id": 3784, "sequence_id": 253, "annotations": []}
{"role": "volunteer", "content": "you leave that one", "session_id": 3784, "sequence_id": 254, "annotations": []}
{"role": "volunteer", "content": "This is gonna be closed. 1234.", "session_id": 3784, "sequence_id": 255, "annotations": []}
{"role": "student", "content": "No.", "session_id": 3784, "sequence_id": 256, "annotations": []}
{"role": "student", "content": "Mm.", "session_id": 3784, "sequence_id": 257, "annotations": []}
{"role": "volunteer", "content": "123. It goes off the line.", "session_id": 3784, "sequence_id": 258, "annotations": []}
{"role": "student", "content": "I", "session_id": 3784, "sequence_id": 259, "annotations": []}
{"role": "volunteer", "content": "That isn't fair", "session_id": 3784, "sequence_id": 260, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 3784, "sequence_id": 261, "annotations": []}
{"role": "student", "content": "Yeah, like I don't even know how to do this. It's pretty good.", "session_id": 3784, "sequence_id": 262, "annotations": []}
{"role": "volunteer", "content": "Yeah, if I tried to take the other point, it's going", "session_id": 3784, "sequence_id": 263, "annotations": []}
{"role": "volunteer", "content": "like -11 something.", "session_id": 3784, "sequence_id": 264, "annotations": []}
{"role": "student", "content": "Mhm.", "session_id": 3784, "sequence_id": 265, "annotations": []}
{"role": "student", "content": "Um, do you wanna watch the video instead? I have the video, but like they're not exactly the same.", "session_id": 3784, "sequence_id": 266, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 3784, "sequence_id": 267, "annotations": []}
{"role": "student", "content": "because that's watching it, but like", "session_id": 3784, "sequence_id": 268, "annotations": []}
{"role": "student", "content": "I didn't understand it.", "session_id": 3784, "sequence_id": 269, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 3784, "sequence_id": 270, "annotations": []}
{"role": "student", "content": "Just um, just I'm myself, but just let me know if you hear it.", "session_id": 3784, "sequence_id": 271, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 3784, "sequence_id": 272, "annotations": []}
{"role": "student", "content": "Um, can you hear it", "session_id": 3784, "sequence_id": 273, "annotations": []}
{"role": "volunteer", "content": "I don't hear it", "session_id": 3784, "sequence_id": 274, "annotations": []}
{"role": "student", "content": "You don't hear it", "session_id": 3784, "sequence_id": 275, "annotations": []}
{"role": "student", "content": "Um, do you hear it? The video? No.", "session_id": 3784, "sequence_id": 276, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 3784, "sequence_id": 277, "annotations": []}
{"role": "volunteer", "content": "OK, let's do, go, go, OK.", "session_id": 3784, "sequence_id": 278, "annotations": []}
{"role": "volunteer", "content": "I'm trying to figure out how you get that point.", "session_id": 3784, "sequence_id": 279, "annotations": []}
{"role": "volunteer", "content": "Is that the video", "session_id": 3784, "sequence_id": 280, "annotations": []}
{"role": "student", "content": "Yeah, that's the video.", "session_id": 3784, "sequence_id": 281, "annotations": []}
{"role": "volunteer", "content": "Do it, they don't have closed caption on it, do they?", "session_id": 3784, "sequence_id": 282, "annotations": []}
{"role": "student", "content": "Um, you", "session_id": 3784, "sequence_id": 283, "annotations": []}
{"role": "student", "content": "Oh wait, you couldn't hear it?", "session_id": 3784, "sequence_id": 284, "annotations": []}
{"role": "volunteer", "content": "Ah, so start over, start over. Yeah. No, I couldn't hear it, but if it's got closed caption, I could read that.", "session_id": 3784, "sequence_id": 285, "annotations": []}
{"role": "student", "content": "All right, I'm gonna meet myself and just let me know if you can see the video, OK?", "session_id": 3784, "sequence_id": 286, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 3784, "sequence_id": 287, "annotations": []}
{"role": "volunteer", "content": "reflect a figure over line level 3.", "session_id": 3784, "sequence_id": 288, "annotations": []}
{"role": "volunteer", "content": "I'm going to reflect the figure", "session_id": 3784, "sequence_id": 289, "annotations": []}
{"role": "volunteer", "content": "Y equals 3 x minus 2", "session_id": 3784, "sequence_id": 290, "annotations": []}
{"role": "volunteer", "content": "we have to click 3 times, 123.", "session_id": 3784, "sequence_id": 291, "annotations": []}
{"role": "volunteer", "content": "Why, why?", "session_id": 3784, "sequence_id": 292, "annotations": []}
{"role": "volunteer", "content": "So they are using the slope", "session_id": 3784, "sequence_id": 293, "annotations": []}
{"role": "volunteer", "content": "equal distance.", "session_id": 3784, "sequence_id": 294, "annotations": []}
{"role": "volunteer", "content": "How do you know the distance?", "session_id": 3784, "sequence_id": 295, "annotations": []}
{"role": "volunteer", "content": "Perpendicular", "session_id": 3784, "sequence_id": 296, "annotations": []}
{"role": "volunteer", "content": "create a right angle.", "session_id": 3784, "sequence_id": 297, "annotations": []}
{"role": "volunteer", "content": "Um.", "session_id": 3784, "sequence_id": 298, "annotations": []}
{"role": "volunteer", "content": "13, got that.", "session_id": 3784, "sequence_id": 299, "annotations": []}
{"role": "volunteer", "content": "It goes up", "session_id": 3784, "sequence_id": 300, "annotations": []}
{"role": "volunteer", "content": "1 and over 3. I got that, right?", "session_id": 3784, "sequence_id": 301, "annotations": []}
{"role": "volunteer", "content": "Increments, OK. Got it.", "session_id": 3784, "sequence_id": 302, "annotations": []}
{"role": "volunteer", "content": "That looks equal, OK. So they're continuing to use the slope, the perpendicular slope.", "session_id": 3784, "sequence_id": 303, "annotations": []}
{"role": "volunteer", "content": "And I see that.", "session_id": 3784, "sequence_id": 304, "annotations": []}
{"role": "volunteer", "content": "The hardest one is the one that's farther, OK.", "session_id": 3784, "sequence_id": 305, "annotations": []}
{"role": "volunteer", "content": "But you still keep going up 3/1, up 3/1.", "session_id": 3784, "sequence_id": 306, "annotations": []}
{"role": "volunteer", "content": "Mm", "session_id": 3784, "sequence_id": 307, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 3784, "sequence_id": 308, "annotations": []}
{"role": "volunteer", "content": "So it sounds like just keep using the slope. Just keep using the slope till that point, which is farther away, has to be farther, farther, farther away.", "session_id": 3784, "sequence_id": 309, "annotations": []}
{"role": "volunteer", "content": "He's trying to check the", "session_id": 3784, "sequence_id": 310, "annotations": []}
{"role": "volunteer", "content": "distance", "session_id": 3784, "sequence_id": 311, "annotations": []}
{"role": "volunteer", "content": "Again, slope, slope, slope. OK, let's try.", "session_id": 3784, "sequence_id": 312, "annotations": []}
{"role": "student", "content": "Um, hello, can you hear me?", "session_id": 3784, "sequence_id": 313, "annotations": []}
{"role": "volunteer", "content": "Yes. OK. I, he's continuing to use the slope, continuing to use the slope. So let's start over.", "session_id": 3784, "sequence_id": 314, "annotations": []}
{"role": "volunteer", "content": "OK, go up 3.", "session_id": 3784, "sequence_id": 315, "annotations": []}
{"role": "student", "content": "But at this point?", "session_id": 3784, "sequence_id": 316, "annotations": []}
{"role": "volunteer", "content": "Yeah, yeah", "session_id": 3784, "sequence_id": 317, "annotations": []}
{"role": "student", "content": "It is it.", "session_id": 3784, "sequence_id": 318, "annotations": []}
{"role": "volunteer", "content": "Go up 3 again.", "session_id": 3784, "sequence_id": 319, "annotations": []}
{"role": "student", "content": "you say you said.", "session_id": 3784, "sequence_id": 320, "annotations": []}
{"role": "student", "content": "All right", "session_id": 3784, "sequence_id": 321, "annotations": []}
{"role": "volunteer", "content": "and over 1", "session_id": 3784, "sequence_id": 322, "annotations": []}
{"role": "volunteer", "content": "Now see how that looks. If you were to dri", "session_id": 3784, "sequence_id": 323, "annotations": []}
{"role": "volunteer", "content": "that", "session_id": 3784, "sequence_id": 324, "annotations": []}
{"role": "volunteer", "content": "that is in a good place. That is a good place. Now go to the -7, 7.", "session_id": 3784, "sequence_id": 325, "annotations": []}
{"role": "volunteer", "content": "Yeah.", "session_id": 3784, "sequence_id": 326, "annotations": []}
{"role": "student", "content": "Wait, 7.", "session_id": 3784, "sequence_id": 327, "annotations": []}
{"role": "volunteer", "content": "Go up 3/1.", "session_id": 3784, "sequence_id": 328, "annotations": []}
{"role": "student", "content": "That's good", "session_id": 3784, "sequence_id": 329, "annotations": []}
{"role": "volunteer", "content": "That's good", "session_id": 3784, "sequence_id": 330, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 3784, "sequence_id": 331, "annotations": []}
{"role": "volunteer", "content": "Now, the farther one down there, go up 3/1.", "session_id": 3784, "sequence_id": 332, "annotations": []}
{"role": "volunteer", "content": "Go up 3/1.", "session_id": 3784, "sequence_id": 333, "annotations": []}
{"role": "student", "content": "When you", "session_id": 3784, "sequence_id": 334, "annotations": []}
{"role": "volunteer", "content": "Go up 3/1.", "session_id": 3784, "sequence_id": 335, "annotations": []}
{"role": "student", "content": "There", "session_id": 3784, "sequence_id": 336, "annotations": []}
{"role": "volunteer", "content": "That, that looks good.", "session_id": 3784, "sequence_id": 337, "annotations": []}
{"role": "volunteer", "content": "Yay", "session_id": 3784, "sequence_id": 338, "annotations": []}
{"role": "student", "content": "Yeah, it looks good.", "session_id": 3784, "sequence_id": 339, "annotations": []}
{"role": "volunteer", "content": "Yay", "session_id": 3784, "sequence_id": 340, "annotations": []}
{"role": "volunteer", "content": "We just keep using the slope.", "session_id": 3784, "sequence_id": 341, "annotations": []}
{"role": "student", "content": "Oh my God, yeah.", "session_id": 3784, "sequence_id": 342, "annotations": []}
{"role": "volunteer", "content": "the perpendicular slope.", "session_id": 3784, "sequence_id": 343, "annotations": []}
{"role": "student", "content": "Wait, so we go up 3.", "session_id": 3784, "sequence_id": 344, "annotations": []}
{"role": "student", "content": "13", "session_id": 3784, "sequence_id": 345, "annotations": []}
{"role": "volunteer", "content": "over 1, up 3/1.", "session_id": 3784, "sequence_id": 346, "annotations": []}
{"role": "student", "content": "323.", "session_id": 3784, "sequence_id": 347, "annotations": []}
{"role": "student", "content": "Oh yeah. I understand that now, yeah.", "session_id": 3784, "sequence_id": 348, "annotations": []}
{"role": "volunteer", "content": "See? And you just have the last one is so far away and it's gonna flip over, so it's farther, farther, farther.", "session_id": 3784, "sequence_id": 349, "annotations": []}
{"role": "volunteer", "content": "see", "session_id": 3784, "sequence_id": 350, "annotations": []}
{"role": "student", "content": "Oh my God, I understand that now, yeah.", "session_id": 3784, "sequence_id": 351, "annotations": []}
{"role": "volunteer", "content": "We did, we did the first one too we did it up twice. We did the one that's closest, only one, and then we did the other one. I don't know it 3 times, 4 times. Let's do another one.", "session_id": 3784, "sequence_id": 352, "annotations": []}
{"role": "student", "content": "Uh, go submit it.", "session_id": 3784, "sequence_id": 353, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 3784, "sequence_id": 354, "annotations": []}
{"role": "volunteer", "content": "Yeah.", "session_id": 3784, "sequence_id": 355, "annotations": []}
{"role": "student", "content": "I completed it now.", "session_id": 3784, "sequence_id": 356, "annotations": []}
{"role": "volunteer", "content": "y", "session_id": 3784, "sequence_id": 357, "annotations": []}
{"role": "student", "content": "Thank you.", "session_id": 3784, "sequence_id": 358, "annotations": []}
{"role": "volunteer", "content": "And I learned something.", "session_id": 3784, "sequence_id": 359, "annotations": []}
{"role": "volunteer", "content": "Do you have another one", "session_id": 3784, "sequence_id": 360, "annotations": []}
{"role": "student", "content": "Yeah. Thank you.", "session_id": 3784, "sequence_id": 361, "annotations": []}
{"role": "student", "content": "Uh, no, I'm already done with everything.", "session_id": 3784, "sequence_id": 362, "annotations": []}
{"role": "volunteer", "content": "I only had one. The hardest one, right?", "session_id": 3784, "sequence_id": 363, "annotations": []}
{"role": "student", "content": "Yeah. Thank you.", "session_id": 3784, "sequence_id": 364, "annotations": []}
{"role": "volunteer", "content": "You're quite welcome and again, I learned something.", "session_id": 3784, "sequence_id": 365, "annotations": []}
{"role": "student", "content": "Yeah. Thank you so much.", "session_id": 3784, "sequence_id": 366, "annotations": []}
{"role": "volunteer", "content": "You're welcome. Good night.", "session_id": 3784, "sequence_id": 367, "annotations": []}
{"role": "student", "content": "Goodnight", "session_id": 3784, "sequence_id": 368, "annotations": []}
{"role": "volunteer", "content": "Yeah.", "session_id": 3784, "sequence_id": 369, "annotations": []}
{"role": "volunteer", "content": "Howdy !", "session_id": 3806, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "hi", "session_id": 3806, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "So this is your first time using Alice?", "session_id": 3806, "sequence_id": 2, "annotations": [{"pii_type": "PERSON", "surrogate": "Alice", "start": 33, "end": 38}]}
{"role": "student", "content": "yes it is", "session_id": 3806, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "Cool beans and welcome !", "session_id": 3806, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "People normally post (or write) problems on the whiteboard and we work thru them.", "session_id": 3806, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "oh i see", "session_id": 3806, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "Most people use the \"upload\" button and grab a jpg from their phone or whatever.", "session_id": 3806, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "I have little cheat sheets that I sometimes post too - like this:", "session_id": 3806, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "Ready to try a sample problem?", "session_id": 3806, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "Hello?", "session_id": 3806, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "Looks like you\u2019ve stepped away so I\u2019m going to log out and help other students who are waiting.  Please log back in later if you still need help.", "session_id": 3806, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "hello i have a final next week on Tuesday, but i dont have a whole lot of time to study  and i neet to understand how to solve for this", "session_id": 3885, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "Hi Alex! How are you?", "session_id": 3885, "sequence_id": 1, "annotations": [{"pii_type": "PERSON", "surrogate": "Alex", "start": 3, "end": 7}]}
{"role": "student", "content": "im great how abouut you", "session_id": 3885, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "I'm great, thanks for asking! Just a heads up, the whiteboard is currently down, so we have to communicate and show work through typing.", "session_id": 3885, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "oh really like if i write you wouldnt be able to see it", "session_id": 3885, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "Yep. Hopefully it gets fixed soon but its been this way for a while", "session_id": 3885, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "How can I help you today?", "session_id": 3885, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "okay so this is my question that i need help on", "session_id": 3885, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "Given the function F(x)=X^2 write the equation of the function g whose graph is the graph of f translated 4 units to the left and 2 units down", "session_id": 3885, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "Ok! Let's start with what you know about this topic (It's okay if it's not much, we all start somewhere!)", "session_id": 3885, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "so im confused bc would i use the x^2", "session_id": 3885, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "Yes!", "session_id": 3885, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "F(x) is the parent function, yes?", "session_id": 3885, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "right", "session_id": 3885, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "F(x)=(x^2) [I'm putting the parenthesis around x^2 bc it helps me keep them together in my head]", "session_id": 3885, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "okay", "session_id": 3885, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "yea", "session_id": 3885, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "So lets pretend x^2 = y, correct?", "session_id": 3885, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "actually forget what I just said", "session_id": 3885, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "yes", "session_id": 3885, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "okay", "session_id": 3885, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "If I have a normal f(x) = x equation, how would I move it 2 units down?", "session_id": 3885, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "would i do + 2", "session_id": 3885, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "i lowkey forgot the rules", "session_id": 3885, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "ccould ou just remind me", "session_id": 3885, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "Yes!", "session_id": 3885, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "Ok!", "session_id": 3885, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "The transformation equation would look like f(x)=a(x-h)+k", "session_id": 3885, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "Confusing right? Let's break it down!", "session_id": 3885, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "a = amplitude, this is going to stretch or compress the function", "session_id": 3885, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "Think of it like a rubber band, if you pull more then you were [a is greater than1] the rubber band stretches more, but if you pull less [a is less than 1] the rubber band is less stretched than before", "session_id": 3885, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "sorry ill brb", "session_id": 3885, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "Okay!", "session_id": 3885, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "I'll finish typing this out and you let me know when you're ready to continue", "session_id": 3885, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "sorry im back", "session_id": 3885, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "It's okay!", "session_id": 3885, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "You don't need amplitude in this transformation, so we will take it out. Now we have f(x) = (x - h) +k. Still a bit tricky, but we\u2019re getting there!", "session_id": 3885, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "Next let\u2019s focus on h!", "session_id": 3885, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "okay", "session_id": 3885, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "h = horizontial, it\u2019s actually pretty simple, but you need to remember that it is subtracted from x. \n   If h is positive (meaning it is subtracted from x in the equation) the function shifts to the right by h units. \n   If h is negative (meaning it is added to x in the equation) the function shifts to the left by h units.", "session_id": 3885, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "I sometimes get this one mixed up myself, so sometimes it helps to just graph something like f(x)=2x and f(x)=2(x-1) to visualize how it changes.", "session_id": 3885, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "My advice is to use something like Desmos when graphing, especially because you can color code the different equations.", "session_id": 3885, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "ohh okay", "session_id": 3885, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "go ahead and graph f(x)=2(x) (by hand or online, either one works!)", "session_id": 3885, "sequence_id": 43, "annotations": []}
{"role": "student", "content": "alrigh", "session_id": 3885, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "now lets try finding a few points to help us plot f(x)=2(x-1) on the same graph! If you're doing it by hand and have another color available, I would definitely use it!", "session_id": 3885, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "In the meantime, let's come up with 5 x-values to plug into our equation!", "session_id": 3885, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "okay i will", "session_id": 3885, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "what values do you think we should use?", "session_id": 3885, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "question fro h right would be - and left ould be +?", "session_id": 3885, "sequence_id": 49, "annotations": []}
{"role": "student", "content": "or what are the signs", "session_id": 3885, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "Let's find out! This will help you visualize and understand what and how exactly h affects the function", "session_id": 3885, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "Lets start by graphing this equation by finding some of the points!", "session_id": 3885, "sequence_id": 52, "annotations": []}
{"role": "student", "content": "but i don think i would have to graph", "session_id": 3885, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "for this we will make a chart", "session_id": 3885, "sequence_id": 54, "annotations": []}
{"role": "student", "content": "i would jus thave to make the equation", "session_id": 3885, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "Ok! that's fine, but the reason I' trying to show you this is it is a good way to understand and learn how h affects it", "session_id": 3885, "sequence_id": 56, "annotations": []}
{"role": "student", "content": "oh okay yes i see", "session_id": 3885, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "Alright! We are going to choose 3-5 x-values to plug into the equation f(x)=2(x-1).", "session_id": 3885, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "Let's do 0, 1, 2, -1, and -2!", "session_id": 3885, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "We will plug each value into x, starting with 0.", "session_id": 3885, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "f(x) = 2( [0] - 1)", "session_id": 3885, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "so y= 2 (0-1) or just 2(-1)", "session_id": 3885, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "When x = 0, y = -2.", "session_id": 3885, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "Go ahead and plot that point.", "session_id": 3885, "sequence_id": 64, "annotations": []}
{"role": "student", "content": "okay", "session_id": 3885, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "Now, if x = 1, we will have the equation y= 2 (1-1)", "session_id": 3885, "sequence_id": 66, "annotations": []}
{"role": "student", "content": "ill brb so sorry", "session_id": 3885, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "Ok! I think I have to go to another class now, but I can follow up later if you would like!", "session_id": 3885, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "Keep plotting those points and draw the line connecting them to see the new function! Hopefully this helped and I'm sorry we ran out of time!", "session_id": 3885, "sequence_id": 69, "annotations": []}
{"role": "student", "content": "heyyyyyy", "session_id": 3889, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "hello", "session_id": 3889, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "Hello", "session_id": 3889, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "Sorry I'm lagging", "session_id": 3889, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "Hi", "session_id": 3889, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "it okkkkkk", "session_id": 3889, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "I need help", "session_id": 3889, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "Ok could you tell me like what problem or topic you need help with?", "session_id": 3889, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "with this problem", "session_id": 3889, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "I think you were writing on the screen, was it that one", "session_id": 3889, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "factor out", "session_id": 3889, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "yes", "session_id": 3889, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "wait", "session_id": 3889, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "no problem", "session_id": 3889, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "is that the full problem?", "session_id": 3889, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "yessss", "session_id": 3889, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "ok so to factor this out you have to consider the greatest common factor", "session_id": 3889, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "like multiply?", "session_id": 3889, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "You have to find out the factors or numbers that multiply to the terms", "session_id": 3889, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "so like 9 can be broken down into 3 and 3", "session_id": 3889, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "Sarah", "session_id": 3889, "sequence_id": 20, "annotations": [{"pii_type": "PERSON", "surrogate": "Sarah", "start": 0, "end": 5}]}
{"role": "volunteer", "content": "And so for terms with x, you can just treat x like a factor", "session_id": 3889, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "oh 6x5", "session_id": 3889, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "for 30", "session_id": 3889, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "yes you're on the right track", "session_id": 3889, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "ok,so", "session_id": 3889, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "You want to find as many factors in common as possible", "session_id": 3889, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "but notice 6 can be broken down again to 2x3", "session_id": 3889, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "do I need to add the X in the parentheses", "session_id": 3889, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "which parentheses", "session_id": 3889, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "for the final answer", "session_id": 3889, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "lol", "session_id": 3889, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "Oh, if you're done factoring and there is still an x in the parentheses, then you just leave it there.", "session_id": 3889, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "So for this one, you can only factor out one x because 9x only has one x", "session_id": 3889, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "ohhh ok", "session_id": 3889, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "Oh sorry forgot the negative hold on", "session_id": 3889, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "since they both have a negative you can kind of assume its a factor of -1", "session_id": 3889, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "yes good the gcf is -3x", "session_id": 3889, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "no", "session_id": 3889, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "well ok so what next??", "session_id": 3889, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "then you drop down whatever is left after you factored the -3x out from each of the terms", "session_id": 3889, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "so -1 ??", "session_id": 3889, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "Well lets look at the first term", "session_id": 3889, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "So -9x was the first term", "session_id": 3889, "sequence_id": 43, "annotations": []}
{"role": "student", "content": "yes", "session_id": 3889, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "and you took out -3x", "session_id": 3889, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "and?", "session_id": 3889, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "So it's kind of like dividing by -3x", "session_id": 3889, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "When you divide -9x by -3x what do you get", "session_id": 3889, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "wait", "session_id": 3889, "sequence_id": 49, "annotations": []}
{"role": "student", "content": "3", "session_id": 3889, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "Yeah good, so you can do the same thing for the other term", "session_id": 3889, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "umm", "session_id": 3889, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "Be careful, since you had two terms originally, they should still be separate in the parentheses", "session_id": 3889, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "So you were on the right track", "session_id": 3889, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "you got 3 when you factored -3x out of -9x", "session_id": 3889, "sequence_id": 55, "annotations": []}
{"role": "student", "content": "right", "session_id": 3889, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "But you don't need to put an x next to the 3", "session_id": 3889, "sequence_id": 57, "annotations": []}
{"role": "student", "content": "ohh", "session_id": 3889, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "Think about it, when you divide -9x by -3x, the x's cancel out", "session_id": 3889, "sequence_id": 59, "annotations": []}
{"role": "student", "content": "umm", "session_id": 3889, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "I think you were on the right track, but where did you get the squared from?", "session_id": 3889, "sequence_id": 61, "annotations": []}
{"role": "student", "content": "I don't know", "session_id": 3889, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "since the problem gives you two terms you need to work with them separately", "session_id": 3889, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "So lets slow down a bit.", "session_id": 3889, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "Our first step was finding the greatest common factor", "session_id": 3889, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "that was -3x", "session_id": 3889, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "So once you get the greatest common factor, you divide that from both the original terms", "session_id": 3889, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "which were -9x and -30x^2", "session_id": 3889, "sequence_id": 68, "annotations": []}
{"role": "student", "content": "Michael", "session_id": 3889, "sequence_id": 69, "annotations": [{"pii_type": "PERSON", "surrogate": "Michael", "start": 0, "end": 7}]}
{"role": "student", "content": "then?", "session_id": 3889, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "so dividing -9x by -3x gives you 3", "session_id": 3889, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "how about dividing -30x^2 by -3x", "session_id": 3889, "sequence_id": 72, "annotations": []}
{"role": "student", "content": "-33", "session_id": 3889, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "Close but that would be subtraction not division", "session_id": 3889, "sequence_id": 74, "annotations": []}
{"role": "volunteer", "content": "Whats 30 divided by 3?", "session_id": 3889, "sequence_id": 75, "annotations": []}
{"role": "student", "content": "10", "session_id": 3889, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "Yes, good", "session_id": 3889, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "and since -30x^2 and -3x are both negative, the negatives cancel out", "session_id": 3889, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "how about x squared divided by x", "session_id": 3889, "sequence_id": 79, "annotations": []}
{"role": "student", "content": "huh I don't get it ?", "session_id": 3889, "sequence_id": 80, "annotations": []}
{"role": "volunteer", "content": "x times x, divided by x", "session_id": 3889, "sequence_id": 81, "annotations": []}
{"role": "volunteer", "content": "think of x squared as x times x", "session_id": 3889, "sequence_id": 82, "annotations": []}
{"role": "student", "content": "x^2", "session_id": 3889, "sequence_id": 83, "annotations": []}
{"role": "volunteer", "content": "Yes, x^2 , but you divide that by x", "session_id": 3889, "sequence_id": 84, "annotations": []}
{"role": "student", "content": "1x^2", "session_id": 3889, "sequence_id": 85, "annotations": []}
{"role": "student", "content": ":(", "session_id": 3889, "sequence_id": 86, "annotations": []}
{"role": "volunteer", "content": "Adding a 1 actually keeps it the same; how about this, think of any random number and plug it in for x", "session_id": 3889, "sequence_id": 87, "annotations": []}
{"role": "volunteer", "content": "So lets say x = 4", "session_id": 3889, "sequence_id": 88, "annotations": []}
{"role": "volunteer", "content": "what would be 4^2, divided by 4?", "session_id": 3889, "sequence_id": 89, "annotations": []}
{"role": "student", "content": "2^2", "session_id": 3889, "sequence_id": 90, "annotations": []}
{"role": "volunteer", "content": "Yes, or 4", "session_id": 3889, "sequence_id": 91, "annotations": []}
{"role": "volunteer", "content": "4^2 is 16, and 16 divided by 4 is 4", "session_id": 3889, "sequence_id": 92, "annotations": []}
{"role": "student", "content": "oh ok", "session_id": 3889, "sequence_id": 93, "annotations": []}
{"role": "student", "content": "4^2", "session_id": 3889, "sequence_id": 94, "annotations": []}
{"role": "volunteer", "content": "So we get 4 after dividing", "session_id": 3889, "sequence_id": 95, "annotations": []}
{"role": "volunteer", "content": "but isnt 4 what we set x equal to?", "session_id": 3889, "sequence_id": 96, "annotations": []}
{"role": "student", "content": "I don't know", "session_id": 3889, "sequence_id": 97, "annotations": []}
{"role": "volunteer", "content": "Yes, thats what i set it equal to earlier", "session_id": 3889, "sequence_id": 98, "annotations": []}
{"role": "volunteer", "content": "The point it, x^2 divided by x is just x", "session_id": 3889, "sequence_id": 99, "annotations": []}
{"role": "volunteer", "content": "So back to the original question, we had -30x^2 divided by -3x", "session_id": 3889, "sequence_id": 100, "annotations": []}
{"role": "volunteer", "content": "we figured out that 30/3 is 10", "session_id": 3889, "sequence_id": 101, "annotations": []}
{"role": "volunteer", "content": "and we have that x^2 divided by x is x", "session_id": 3889, "sequence_id": 102, "annotations": []}
{"role": "volunteer", "content": "so combine those, you would get 10x", "session_id": 3889, "sequence_id": 103, "annotations": []}
{"role": "student", "content": "so yes or no", "session_id": 3889, "sequence_id": 104, "annotations": []}
{"role": "student", "content": "am I right", "session_id": 3889, "sequence_id": 105, "annotations": []}
{"role": "volunteer", "content": "I think your answer is almost there but there are some parts that are not right", "session_id": 3889, "sequence_id": 106, "annotations": []}
{"role": "volunteer", "content": "So our greatest common factor was -3x so that should go on the outside", "session_id": 3889, "sequence_id": 107, "annotations": []}
{"role": "student", "content": "aw man", "session_id": 3889, "sequence_id": 108, "annotations": []}
{"role": "volunteer", "content": "Its ok, let me guide you through", "session_id": 3889, "sequence_id": 109, "annotations": []}
{"role": "volunteer", "content": "So -3x goes outside the parentheses", "session_id": 3889, "sequence_id": 110, "annotations": []}
{"role": "student", "content": "ok", "session_id": 3889, "sequence_id": 111, "annotations": []}
{"role": "volunteer", "content": "and we got that -9x divided by -3x is 3", "session_id": 3889, "sequence_id": 112, "annotations": []}
{"role": "volunteer", "content": "so that goes inside the parentheses", "session_id": 3889, "sequence_id": 113, "annotations": []}
{"role": "volunteer", "content": "by itself", "session_id": 3889, "sequence_id": 114, "annotations": []}
{"role": "student", "content": "+ or no plus", "session_id": 3889, "sequence_id": 115, "annotations": []}
{"role": "volunteer", "content": "no plus needs to be in front of the 3", "session_id": 3889, "sequence_id": 116, "annotations": []}
{"role": "student", "content": "ok", "session_id": 3889, "sequence_id": 117, "annotations": []}
{"role": "volunteer", "content": "since it's already assumed to be positive", "session_id": 3889, "sequence_id": 118, "annotations": []}
{"role": "volunteer", "content": "next we take a look at -30x^2", "session_id": 3889, "sequence_id": 119, "annotations": []}
{"role": "volunteer", "content": "since we divided that by -3x, we got 10x", "session_id": 3889, "sequence_id": 120, "annotations": []}
{"role": "volunteer", "content": "positive 10x", "session_id": 3889, "sequence_id": 121, "annotations": []}
{"role": "student", "content": "ooooooohohooooooo", "session_id": 3889, "sequence_id": 122, "annotations": []}
{"role": "student", "content": "oh my God", "session_id": 3889, "sequence_id": 123, "annotations": []}
{"role": "volunteer", "content": "Does this make more sense now?", "session_id": 3889, "sequence_id": 124, "annotations": []}
{"role": "student", "content": "what the heck guys", "session_id": 3889, "sequence_id": 125, "annotations": []}
{"role": "student", "content": "yes thank you", "session_id": 3889, "sequence_id": 126, "annotations": []}
{"role": "volunteer", "content": "No problem, any more questions?", "session_id": 3889, "sequence_id": 127, "annotations": []}
{"role": "student", "content": "YES", "session_id": 3889, "sequence_id": 128, "annotations": []}
{"role": "volunteer", "content": "Sure, go on", "session_id": 3889, "sequence_id": 129, "annotations": []}
{"role": "volunteer", "content": "Wow ok, this one looks a bit tougher, but we can use the same process", "session_id": 3889, "sequence_id": 130, "annotations": []}
{"role": "volunteer", "content": "We first need to find the greatest common factor again", "session_id": 3889, "sequence_id": 131, "annotations": []}
{"role": "student", "content": "nnnngh3bfeufn34dn4f ahhhhhhhh", "session_id": 3889, "sequence_id": 132, "annotations": []}
{"role": "student", "content": "ok", "session_id": 3889, "sequence_id": 133, "annotations": []}
{"role": "student", "content": "um", "session_id": 3889, "sequence_id": 134, "annotations": []}
{"role": "volunteer", "content": "For this, I recommend writing all the factors out", "session_id": 3889, "sequence_id": 135, "annotations": []}
{"role": "volunteer", "content": "Let me write it below", "session_id": 3889, "sequence_id": 136, "annotations": []}
{"role": "volunteer", "content": "I've listed out all the factors for both terms", "session_id": 3889, "sequence_id": 137, "annotations": []}
{"role": "student", "content": "ok", "session_id": 3889, "sequence_id": 138, "annotations": []}
{"role": "student", "content": "umm", "session_id": 3889, "sequence_id": 139, "annotations": []}
{"role": "student", "content": "1x6", "session_id": 3889, "sequence_id": 140, "annotations": []}
{"role": "volunteer", "content": "so now you circle anything that both lists have in common", "session_id": 3889, "sequence_id": 141, "annotations": []}
{"role": "volunteer", "content": "including the x's", "session_id": 3889, "sequence_id": 142, "annotations": []}
{"role": "student", "content": "lol", "session_id": 3889, "sequence_id": 143, "annotations": []}
{"role": "volunteer", "content": "Close, but since they only have 2 x's in common, you only circle 2 x's for each one", "session_id": 3889, "sequence_id": 144, "annotations": []}
{"role": "student", "content": "umm ok", "session_id": 3889, "sequence_id": 145, "annotations": []}
{"role": "volunteer", "content": "Remember only the things they both have", "session_id": 3889, "sequence_id": 146, "annotations": []}
{"role": "volunteer", "content": "So now you have -1, 2, x, and x in common", "session_id": 3889, "sequence_id": 147, "annotations": []}
{"role": "student", "content": "yes", "session_id": 3889, "sequence_id": 148, "annotations": []}
{"role": "volunteer", "content": "Then you multiply them together", "session_id": 3889, "sequence_id": 149, "annotations": []}
{"role": "student", "content": "the x court as ones", "session_id": 3889, "sequence_id": 150, "annotations": []}
{"role": "volunteer", "content": "each x counts as one x", "session_id": 3889, "sequence_id": 151, "annotations": []}
{"role": "volunteer", "content": "so if you multiply 2 x's together, you get x^2", "session_id": 3889, "sequence_id": 152, "annotations": []}
{"role": "student", "content": "ok", "session_id": 3889, "sequence_id": 153, "annotations": []}
{"role": "student", "content": "yes", "session_id": 3889, "sequence_id": 154, "annotations": []}
{"role": "volunteer", "content": "Yes, and then -1 times 2 is -2", "session_id": 3889, "sequence_id": 155, "annotations": []}
{"role": "volunteer", "content": "so combining those gives -2x^2", "session_id": 3889, "sequence_id": 156, "annotations": []}
{"role": "student", "content": "yes", "session_id": 3889, "sequence_id": 157, "annotations": []}
{"role": "volunteer", "content": "Yes, so now we have the greatest common factor, we can start writing it out", "session_id": 3889, "sequence_id": 158, "annotations": []}
{"role": "volunteer", "content": "Now, we have to worry about what goes in the parentheses", "session_id": 3889, "sequence_id": 159, "annotations": []}
{"role": "student", "content": "what ok", "session_id": 3889, "sequence_id": 160, "annotations": []}
{"role": "volunteer", "content": "So like before, you divide the original numbers by the -2x^2", "session_id": 3889, "sequence_id": 161, "annotations": []}
{"role": "student", "content": "no", "session_id": 3889, "sequence_id": 162, "annotations": []}
{"role": "volunteer", "content": "Since we took -2x^2 out of -20x^2, we must divide to find what's left", "session_id": 3889, "sequence_id": 163, "annotations": []}
{"role": "volunteer", "content": "x^2 cancels, so we are left with 10", "session_id": 3889, "sequence_id": 164, "annotations": []}
{"role": "student", "content": "rfight", "session_id": 3889, "sequence_id": 165, "annotations": []}
{"role": "volunteer", "content": "Good", "session_id": 3889, "sequence_id": 166, "annotations": []}
{"role": "student", "content": "then?", "session_id": 3889, "sequence_id": 167, "annotations": []}
{"role": "volunteer", "content": "Then do the same thing but for -6x^5", "session_id": 3889, "sequence_id": 168, "annotations": []}
{"role": "student", "content": "-12", "session_id": 3889, "sequence_id": 169, "annotations": []}
{"role": "student", "content": "^7", "session_id": 3889, "sequence_id": 170, "annotations": []}
{"role": "volunteer", "content": "Close, but you did the opposite", "session_id": 3889, "sequence_id": 171, "annotations": []}
{"role": "volunteer", "content": "you multiplied instead of divided", "session_id": 3889, "sequence_id": 172, "annotations": []}
{"role": "student", "content": "12", "session_id": 3889, "sequence_id": 173, "annotations": []}
{"role": "volunteer", "content": "whats -6 divided by -2", "session_id": 3889, "sequence_id": 174, "annotations": []}
{"role": "student", "content": "3", "session_id": 3889, "sequence_id": 175, "annotations": []}
{"role": "volunteer", "content": "Yes", "session_id": 3889, "sequence_id": 176, "annotations": []}
{"role": "volunteer", "content": "whats x^5 divided by x^2?", "session_id": 3889, "sequence_id": 177, "annotations": []}
{"role": "student", "content": "ok yay", "session_id": 3889, "sequence_id": 178, "annotations": []}
{"role": "student", "content": "x^7", "session_id": 3889, "sequence_id": 179, "annotations": []}
{"role": "volunteer", "content": "For this one, a fast way to do it is by subtracting the exponents", "session_id": 3889, "sequence_id": 180, "annotations": []}
{"role": "volunteer", "content": "x^7 would be if you multiplied", "session_id": 3889, "sequence_id": 181, "annotations": []}
{"role": "student", "content": "oh but I sum it", "session_id": 3889, "sequence_id": 182, "annotations": []}
{"role": "volunteer", "content": "summing the exponents is how you do multiplication", "session_id": 3889, "sequence_id": 183, "annotations": []}
{"role": "volunteer", "content": "But subtracting exponents is division", "session_id": 3889, "sequence_id": 184, "annotations": []}
{"role": "student", "content": "I don;t know\\", "session_id": 3889, "sequence_id": 185, "annotations": []}
{"role": "volunteer", "content": "It's ok", "session_id": 3889, "sequence_id": 186, "annotations": []}
{"role": "volunteer", "content": "So just to clarify, When you multiply, you can add the exponents, but when you divide, you subtract the exponents", "session_id": 3889, "sequence_id": 187, "annotations": []}
{"role": "volunteer", "content": "so x^5 divided by x^2, you do 5-2 and get 3", "session_id": 3889, "sequence_id": 188, "annotations": []}
{"role": "volunteer", "content": "so x^3", "session_id": 3889, "sequence_id": 189, "annotations": []}
{"role": "volunteer", "content": "Then, combine that with what we got earlier, which was 3", "session_id": 3889, "sequence_id": 190, "annotations": []}
{"role": "volunteer", "content": "so 3x^3", "session_id": 3889, "sequence_id": 191, "annotations": []}
{"role": "volunteer", "content": "Once we get out result, we plug that into our final answer", "session_id": 3889, "sequence_id": 192, "annotations": []}
{"role": "volunteer", "content": "Any questions?", "session_id": 3889, "sequence_id": 193, "annotations": []}
{"role": "volunteer", "content": "If not then I'll call it a day", "session_id": 3889, "sequence_id": 194, "annotations": []}
{"role": "volunteer", "content": "Thanks for joining!", "session_id": 3889, "sequence_id": 195, "annotations": []}
{"role": "volunteer", "content": "ok let me try this, give me a min please", "session_id": 3896, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "Hi.", "session_id": 3896, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "Okay.", "session_id": 3896, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "okay I got an answer", "session_id": 3896, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "Okay thank you.", "session_id": 3896, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "Alright well I'm not supposed to just do it for you.", "session_id": 3896, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "Do you have an idea of what to do?", "session_id": 3896, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "Yes I do.", "session_id": 3896, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "ok.", "session_id": 3896, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "Do you want to show me your answer?", "session_id": 3896, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "Wait can you set it up please?", "session_id": 3896, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "I can- it's just like a long division problem.", "session_id": 3896, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "I\u2019ve been doing too much synthetic division I forgot how to do this one.", "session_id": 3896, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "ok It's just very similar to long division.", "session_id": 3896, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "I set it up initially", "session_id": 3896, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "if you see it", "session_id": 3896, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "OK so far?", "session_id": 3896, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "Yeah I guess.", "session_id": 3896, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "ok can you try the next step?", "session_id": 3896, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "Close.  It would be -2x", "session_id": 3896, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "on top", "session_id": 3896, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "Oh okay.", "session_id": 3896, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "ok. Then you multiply that to -2x^2 -2x", "session_id": 3896, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "? Like how?", "session_id": 3896, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "(-2x)(-2x^2-2x)  distribute", "session_id": 3896, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "ohh sorry", "session_id": 3896, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "It's -2x times x+3", "session_id": 3896, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "my bad", "session_id": 3896, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "It\u2019s fine.", "session_id": 3896, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "ok so I multiplied it.", "session_id": 3896, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "Then subtract", "session_id": 3896, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "I don't know if you changed the negatives.  But it should have come out to 4x", "session_id": 3896, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "Sorry. I accidentally erased it it\u2019s not -6.", "session_id": 3896, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "Sorry it\u2019s not -2.", "session_id": 3896, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "It should be (-2x) - (-6x) = 4x", "session_id": 3896, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "Oh okay.", "session_id": 3896, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 3896, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "aright so bring down the 14", "session_id": 3896, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "Make it 4 on top", "session_id": 3896, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "4(x+3) = 4x+12", "session_id": 3896, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "subtract.", "session_id": 3896, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "You end up with 2, which is the remainder.", "session_id": 3896, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "Now it's done.", "session_id": 3896, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "Hi", "session_id": 3897, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "How can I help you?", "session_id": 3897, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "Hi.", "session_id": 3897, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "Please post your question on the canvas", "session_id": 3897, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "I need help I forgot to ask the previous tutor about before it ended.", "session_id": 3897, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "Okay.", "session_id": 3897, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 3897, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "Sure. let me try", "session_id": 3897, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "I need to figure out the answer for Part B.", "session_id": 3897, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "D: sum of squares", "session_id": 3897, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "Square of Sum", "session_id": 3897, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "Oh okay thank you.", "session_id": 3897, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "any more?", "session_id": 3897, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "Um no not for right now thank you.", "session_id": 3897, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "welcome", "session_id": 3897, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "Have a nice night.", "session_id": 3897, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "you too.", "session_id": 3897, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "hello]", "session_id": 3931, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "Hello!", "session_id": 3931, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "Do you have a question?", "session_id": 3931, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "Yes, I do. Can I upload it on the board?", "session_id": 3931, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "sure", "session_id": 3931, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "Can you read it okay?", "session_id": 3931, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "#2?", "session_id": 3931, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 3931, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "Your answer is correct. It is not one to one", "session_id": 3931, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "Just to understand better, it is not one-to-one if it fails the horizontal line test, correct?", "session_id": 3931, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "Correct.  If it fails the horizontal line test, that means that there are two x values for the same y value, so it is not one to one", "session_id": 3931, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "Make sense?", "session_id": 3931, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "Yes, thank you :)", "session_id": 3931, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "#3?", "session_id": 3931, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "I had a hard time solving that one", "session_id": 3931, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "do you know how to do that?", "session_id": 3931, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "I was taught but it didn't really click for me", "session_id": 3931, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "for f(g(x)), you take the expression for g and plug it in for x in f(x)", "session_id": 3931, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "So 3(x/3+4)-12?", "session_id": 3931, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "right", "session_id": 3931, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "I also wrote it on the board.", "session_id": 3931, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "What does that equal?", "session_id": 3931, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "Would I have to distribute the 3?", "session_id": 3931, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 3931, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "Would this be the answer?", "session_id": 3931, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "the 3's cancel", "session_id": 3931, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "1?", "session_id": 3931, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "no", "session_id": 3931, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "what about the x?", "session_id": 3931, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "ok?", "session_id": 3931, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "I'm a bit confused as what to do next for solving this problem", "session_id": 3931, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "it's done", "session_id": 3931, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "f(g(x)) =x", "session_id": 3931, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "I don't have to write any numbers at all?", "session_id": 3931, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "that's it.", "session_id": 3931, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "Oh, alright then.", "session_id": 3931, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "Well, thank you for walking me through those problems.", "session_id": 3931, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "If f(g(x)) =x and g(f(x))=x, then f and g are inverses of each other.", "session_id": 3931, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "And you are very welcome.", "session_id": 3931, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "Have a good evening", "session_id": 3931, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "You as well", "session_id": 3931, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "bye", "session_id": 3931, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "bye", "session_id": 3931, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "'", "session_id": 3952, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "central angles and arc measures", "session_id": 3952, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "hello", "session_id": 3952, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "Hi! So you\u2019re working with angles. What do you know so far?", "session_id": 3952, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "the measure of the arc formed by the endpoints of central angle is equal to the degree of the central angle", "session_id": 3952, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "Right, so if the central angle, facing JL 105, what is the amount of degrees that the arc is?", "session_id": 3952, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "127", "session_id": 3952, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "Correct!", "session_id": 3952, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "And how many degrees is an entire circle?", "session_id": 3952, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "360", "session_id": 3952, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "So if you take the amount of JL, and take it out of the total degrees, that would be the angle measurement for JML", "session_id": 3952, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "Of the total degrees?", "session_id": 3952, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "Correct!", "session_id": 3952, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "is line AB linear?", "session_id": 3952, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "Is there a picture of the question you\u2019re referring to?", "session_id": 3952, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "yes, does it show now?", "session_id": 3952, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "Nothing is showing up for me, but how about you explain the line?", "session_id": 3952, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "Is it like a straight line that looks like the edge of a ruler?", "session_id": 3952, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "Hello Alex!", "session_id": 3920, "sequence_id": 0, "annotations": [{"pii_type": "PERSON", "surrogate": "Alex", "start": 6, "end": 10}]}
{"role": "volunteer", "content": "how are you today? :)", "session_id": 3920, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "hello!", "session_id": 3920, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "Just letting you know, I have to leave this session after about 30 min... :( I'm sorry", "session_id": 3920, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "i just wanted to study/do homework on derivatives of exps", "session_id": 3920, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "its fine i have only like 12 questions to do", "session_id": 3920, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "ap classroom", "session_id": 3920, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "okay good", "session_id": 3920, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "is there a specific problem you are struggling?", "session_id": 3920, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "no i just wanna do all 12 with you", "session_id": 3920, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "is this sledge hammer??", "session_id": 3920, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "I'm not sure what you mean by sledge hammer", "session_id": 3920, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "like", "session_id": 3920, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "f(x) - f(x+h)/x", "session_id": 3920, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "or was the top the other way", "session_id": 3920, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "oh the limit definition?", "session_id": 3920, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "yea", "session_id": 3920, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "and yes", "session_id": 3920, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "it's actually", "session_id": 3920, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "and h not x on the bottom", "session_id": 3920, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "f(x+h)-f(x) / h", "session_id": 3920, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 3920, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "do you think you can solve this problem?", "session_id": 3920, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "now you know how to approach this problem?", "session_id": 3920, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "for sure for now im just gonna plug in", "session_id": 3920, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 3920, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "oh you actually need to find your original equation first", "session_id": 3920, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "then you plug it in", "session_id": 3920, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "oh wait is it already plugged in", "session_id": 3920, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "yes sort of", "session_id": 3920, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 3920, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "so uh", "session_id": 3920, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "e^2", "session_id": 3920, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "?", "session_id": 3920, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "so you need to find your original equation", "session_id": 3920, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "well you just said that it should be f(x+h)", "session_id": 3920, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "right?", "session_id": 3920, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "so the original equation should be?", "session_id": 3920, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "just e^2, thats what f(x)", "session_id": 3920, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "is", "session_id": 3920, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "is that what your asking", "session_id": 3920, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "you answered what Alex) is", "session_id": 3920, "sequence_id": 41, "annotations": [{"pii_type": "PERSON", "surrogate": "Alex", "start": 18, "end": 22}]}
{"role": "volunteer", "content": "I was asking you what f(x) should be", "session_id": 3920, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "but you got the answer to the problem :)", "session_id": 3920, "sequence_id": 43, "annotations": []}
{"role": "student", "content": "i did??", "session_id": 3920, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "no actually", "session_id": 3920, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "oh wait", "session_id": 3920, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "im silly", "session_id": 3920, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "we should look for the derivative", "session_id": 3920, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "its e^x", "session_id": 3920, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "yes that's our original function", "session_id": 3920, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "and we are looking for x) right?", "session_id": 3920, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "cant i just use normal exp formula?", "session_id": 3920, "sequence_id": 52, "annotations": []}
{"role": "student", "content": "yea", "session_id": 3920, "sequence_id": 53, "annotations": []}
{"role": "student", "content": "like normal derivative rules not the original one", "session_id": 3920, "sequence_id": 54, "annotations": []}
{"role": "student", "content": "yea it worked", "session_id": 3920, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "great :)", "session_id": 3920, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "is there a way for you to check answer for problems?", "session_id": 3920, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "or does it tell you the answer at the end when you submit it?", "session_id": 3920, "sequence_id": 58, "annotations": []}
{"role": "student", "content": "i mean i can run it through AI", "session_id": 3920, "sequence_id": 59, "annotations": []}
{"role": "student", "content": "thats it", "session_id": 3920, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "I also recommend doing a check with AI", "session_id": 3920, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "I don't know if your teacher allows it", "session_id": 3920, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "but that's what I do if it's not a test :) to make sure I'm correct", "session_id": 3920, "sequence_id": 63, "annotations": []}
{"role": "student", "content": "yea its just homework", "session_id": 3920, "sequence_id": 64, "annotations": []}
{"role": "student", "content": "yea it got the same answer", "session_id": 3920, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "good!", "session_id": 3920, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "is there other problems you wanted to work on?", "session_id": 3920, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "I don't think I'll be able to go through every problem with you because of time", "session_id": 3920, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "just letting you know :)", "session_id": 3920, "sequence_id": 69, "annotations": []}
{"role": "student", "content": "C", "session_id": 3920, "sequence_id": 70, "annotations": []}
{"role": "student", "content": "its fine!", "session_id": 3920, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "great job!", "session_id": 3920, "sequence_id": 72, "annotations": []}
{"role": "student", "content": "quick elimination since others didnt chain rule", "session_id": 3920, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "yes that's correct :)", "session_id": 3920, "sequence_id": 74, "annotations": []}
{"role": "student", "content": "c", "session_id": 3920, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "correct!", "session_id": 3920, "sequence_id": 76, "annotations": []}
{"role": "student", "content": "how does that look??", "session_id": 3920, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "well", "session_id": 3920, "sequence_id": 78, "annotations": []}
{"role": "student", "content": "i used product rule here", "session_id": 3920, "sequence_id": 79, "annotations": []}
{"role": "student", "content": "not quotient", "session_id": 3920, "sequence_id": 80, "annotations": []}
{"role": "volunteer", "content": "like our first problem, we should first start with finding our original equation", "session_id": 3920, "sequence_id": 81, "annotations": []}
{"role": "volunteer", "content": "right?", "session_id": 3920, "sequence_id": 82, "annotations": []}
{"role": "student", "content": "is this not the origonal equation", "session_id": 3920, "sequence_id": 83, "annotations": []}
{"role": "student", "content": "its not in f(x+h) form", "session_id": 3920, "sequence_id": 84, "annotations": []}
{"role": "volunteer", "content": "no it's not", "session_id": 3920, "sequence_id": 85, "annotations": []}
{"role": "volunteer", "content": "it's in", "session_id": 3920, "sequence_id": 86, "annotations": []}
{"role": "volunteer", "content": "f(x)+f(a) / x", "session_id": 3920, "sequence_id": 87, "annotations": []}
{"role": "volunteer", "content": "form", "session_id": 3920, "sequence_id": 88, "annotations": []}
{"role": "volunteer", "content": "do you think you can find the original equation?", "session_id": 3920, "sequence_id": 89, "annotations": []}
{"role": "student", "content": "well seems like its just", "session_id": 3920, "sequence_id": 90, "annotations": []}
{"role": "student", "content": "5^x", "session_id": 3920, "sequence_id": 91, "annotations": []}
{"role": "student", "content": "then?", "session_id": 3920, "sequence_id": 92, "annotations": []}
{"role": "volunteer", "content": "yes!", "session_id": 3920, "sequence_id": 93, "annotations": []}
{"role": "volunteer", "content": "and it seems like you know how to find the derivative of 5^x :)", "session_id": 3920, "sequence_id": 94, "annotations": []}
{"role": "student", "content": "sorry its been like a month since ive done this is like the start of deriviatives", "session_id": 3920, "sequence_id": 95, "annotations": []}
{"role": "volunteer", "content": "don't be sorry!", "session_id": 3920, "sequence_id": 96, "annotations": []}
{"role": "volunteer", "content": "why would I be here if you have a perfect understanding of every concept?", "session_id": 3920, "sequence_id": 97, "annotations": []}
{"role": "volunteer", "content": ":)", "session_id": 3920, "sequence_id": 98, "annotations": []}
{"role": "student", "content": "rightt", "session_id": 3920, "sequence_id": 99, "annotations": []}
{"role": "student", "content": "v", "session_id": 3920, "sequence_id": 100, "annotations": []}
{"role": "student", "content": "b", "session_id": 3920, "sequence_id": 101, "annotations": []}
{"role": "volunteer", "content": "that's correct :)", "session_id": 3920, "sequence_id": 102, "annotations": []}
{"role": "volunteer", "content": "great job!", "session_id": 3920, "sequence_id": 103, "annotations": []}
{"role": "student", "content": "i got this one", "session_id": 3920, "sequence_id": 104, "annotations": []}
{"role": "student", "content": "i think", "session_id": 3920, "sequence_id": 105, "annotations": []}
{"role": "student", "content": "f(x)-f(x+h)", "session_id": 3920, "sequence_id": 106, "annotations": []}
{"role": "student", "content": "so it seems like 7e^x is the og", "session_id": 3920, "sequence_id": 107, "annotations": []}
{"role": "student", "content": "i dont see an answer id get", "session_id": 3920, "sequence_id": 108, "annotations": []}
{"role": "volunteer", "content": "you are heading in the right direction", "session_id": 3920, "sequence_id": 109, "annotations": []}
{"role": "student", "content": "oh wait", "session_id": 3920, "sequence_id": 110, "annotations": []}
{"role": "student", "content": "its looking for the origonal equation", "session_id": 3920, "sequence_id": 111, "annotations": []}
{"role": "volunteer", "content": "would you like a few hints?", "session_id": 3920, "sequence_id": 112, "annotations": []}
{"role": "student", "content": "also i think its 7/4", "session_id": 3920, "sequence_id": 113, "annotations": []}
{"role": "student", "content": "and negative since the signs are swapped here", "session_id": 3920, "sequence_id": 114, "annotations": []}
{"role": "volunteer", "content": "yes :)", "session_id": 3920, "sequence_id": 115, "annotations": []}
{"role": "student", "content": "so its that", "session_id": 3920, "sequence_id": 116, "annotations": []}
{"role": "volunteer", "content": "so what option do you think is the answer?", "session_id": 3920, "sequence_id": 117, "annotations": []}
{"role": "student", "content": "C", "session_id": 3920, "sequence_id": 118, "annotations": []}
{"role": "volunteer", "content": "yes you are correct :)", "session_id": 3920, "sequence_id": 119, "annotations": []}
{"role": "volunteer", "content": "great job!", "session_id": 3920, "sequence_id": 120, "annotations": []}
{"role": "volunteer", "content": "I think I'll have to leave in a few minutes", "session_id": 3920, "sequence_id": 121, "annotations": []}
{"role": "volunteer", "content": "do you have any last minute question before I go?", "session_id": 3920, "sequence_id": 122, "annotations": []}
{"role": "volunteer", "content": "or last minute problem you want to work on?", "session_id": 3920, "sequence_id": 123, "annotations": []}
{"role": "student", "content": "yes lets try one more!", "session_id": 3920, "sequence_id": 124, "annotations": []}
{"role": "volunteer", "content": "sure! :)", "session_id": 3920, "sequence_id": 125, "annotations": []}
{"role": "student", "content": "how does this look so far", "session_id": 3920, "sequence_id": 126, "annotations": []}
{"role": "volunteer", "content": "could you tell me what rule you are using here?", "session_id": 3920, "sequence_id": 127, "annotations": []}
{"role": "student", "content": "chain rule", "session_id": 3920, "sequence_id": 128, "annotations": []}
{"role": "volunteer", "content": "ohh I see", "session_id": 3920, "sequence_id": 129, "annotations": []}
{"role": "volunteer", "content": "do you remember all the properties for derivatives for trig?", "session_id": 3920, "sequence_id": 130, "annotations": []}
{"role": "student", "content": "oh wait", "session_id": 3920, "sequence_id": 131, "annotations": []}
{"role": "student", "content": "do i make the uh csc-1", "session_id": 3920, "sequence_id": 132, "annotations": []}
{"role": "student", "content": "x", "session_id": 3920, "sequence_id": 133, "annotations": []}
{"role": "student", "content": "?", "session_id": 3920, "sequence_id": 134, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 3920, "sequence_id": 135, "annotations": []}
{"role": "student", "content": "y", "session_id": 3920, "sequence_id": 136, "annotations": []}
{"role": "student", "content": "woops", "session_id": 3920, "sequence_id": 137, "annotations": []}
{"role": "volunteer", "content": "and you solve it using the derivatives of inverse trigonometric functions", "session_id": 3920, "sequence_id": 138, "annotations": []}
{"role": "student", "content": "so the arccsc goes on the other side right", "session_id": 3920, "sequence_id": 139, "annotations": []}
{"role": "volunteer", "content": "what do you mean the other side?", "session_id": 3920, "sequence_id": 140, "annotations": []}
{"role": "student", "content": "like move it", "session_id": 3920, "sequence_id": 141, "annotations": []}
{"role": "student", "content": "i kinda forgot", "session_id": 3920, "sequence_id": 142, "annotations": []}
{"role": "student", "content": "or is it just equivilent", "session_id": 3920, "sequence_id": 143, "annotations": []}
{"role": "student", "content": "wait so how does it work", "session_id": 3920, "sequence_id": 144, "annotations": []}
{"role": "volunteer", "content": "I'm trying to share an image with you", "session_id": 3920, "sequence_id": 145, "annotations": []}
{"role": "volunteer", "content": "but I can't find any way to share it :(", "session_id": 3920, "sequence_id": 146, "annotations": []}
{"role": "volunteer", "content": "so let me just write it in the white board", "session_id": 3920, "sequence_id": 147, "annotations": []}
{"role": "volunteer", "content": "try searching derivatives of trig and inverse trig into google", "session_id": 3920, "sequence_id": 148, "annotations": []}
{"role": "volunteer", "content": "and it will show you like all these trig rules", "session_id": 3920, "sequence_id": 149, "annotations": []}
{"role": "student", "content": "i remember all the inverse formuals", "session_id": 3920, "sequence_id": 150, "annotations": []}
{"role": "volunteer", "content": "the one that I wrote in the white board?", "session_id": 3920, "sequence_id": 151, "annotations": []}
{"role": "student", "content": "its just that where i put the arccsc after changing it", "session_id": 3920, "sequence_id": 152, "annotations": []}
{"role": "student", "content": "yea", "session_id": 3920, "sequence_id": 153, "annotations": []}
{"role": "student", "content": "like once i chance csc-1 to z", "session_id": 3920, "sequence_id": 154, "annotations": []}
{"role": "student", "content": "do i move it", "session_id": 3920, "sequence_id": 155, "annotations": []}
{"role": "student", "content": "that was my question", "session_id": 3920, "sequence_id": 156, "annotations": []}
{"role": "volunteer", "content": "the derivative of acrcsc x becomes what I wrote below", "session_id": 3920, "sequence_id": 157, "annotations": []}
{"role": "volunteer", "content": "and now you just need to plug in the x", "session_id": 3920, "sequence_id": 158, "annotations": []}
{"role": "volunteer", "content": "which is e^x for this case", "session_id": 3920, "sequence_id": 159, "annotations": []}
{"role": "student", "content": "oh thats it", "session_id": 3920, "sequence_id": 160, "annotations": []}
{"role": "volunteer", "content": "yes :)", "session_id": 3920, "sequence_id": 161, "annotations": []}
{"role": "student", "content": "it should be", "session_id": 3920, "sequence_id": 162, "annotations": []}
{"role": "student", "content": "d", "session_id": 3920, "sequence_id": 163, "annotations": []}
{"role": "student", "content": "i think", "session_id": 3920, "sequence_id": 164, "annotations": []}
{"role": "volunteer", "content": "that's what I am thinking as well", "session_id": 3920, "sequence_id": 165, "annotations": []}
{"role": "student", "content": "i thought ex would go on top", "session_id": 3920, "sequence_id": 166, "annotations": []}
{"role": "volunteer", "content": "to be honest", "session_id": 3920, "sequence_id": 167, "annotations": []}
{"role": "volunteer", "content": "based on the formula", "session_id": 3920, "sequence_id": 168, "annotations": []}
{"role": "volunteer", "content": "there answer should be", "session_id": 3920, "sequence_id": 169, "annotations": []}
{"role": "volunteer", "content": "-1/(e^2x-1)^1/2", "session_id": 3920, "sequence_id": 170, "annotations": []}
{"role": "volunteer", "content": "based on my calculation", "session_id": 3920, "sequence_id": 171, "annotations": []}
{"role": "volunteer", "content": "and there will be no e^x outside of the root as there is e^x on the denominator as well as numerator", "session_id": 3920, "sequence_id": 172, "annotations": []}
{"role": "volunteer", "content": "due to chain rule", "session_id": 3920, "sequence_id": 173, "annotations": []}
{"role": "student", "content": "yea i got that too", "session_id": 3920, "sequence_id": 174, "annotations": []}
{"role": "student", "content": "so neither make sense honestly", "session_id": 3920, "sequence_id": 175, "annotations": []}
{"role": "volunteer", "content": "to be honest, yes", "session_id": 3920, "sequence_id": 176, "annotations": []}
{"role": "volunteer", "content": "I recommend asking your teacher in this case", "session_id": 3920, "sequence_id": 177, "annotations": []}
{"role": "student", "content": "even ai agrees", "session_id": 3920, "sequence_id": 178, "annotations": []}
{"role": "volunteer", "content": "because I searched this problem through online and got that answer", "session_id": 3920, "sequence_id": 179, "annotations": []}
{"role": "volunteer", "content": "I know....", "session_id": 3920, "sequence_id": 180, "annotations": []}
{"role": "volunteer", "content": "oh", "session_id": 3920, "sequence_id": 181, "annotations": []}
{"role": "volunteer", "content": "so the AI is showing that d is the answer?", "session_id": 3920, "sequence_id": 182, "annotations": []}
{"role": "student", "content": "it used a different identity i guess", "session_id": 3920, "sequence_id": 183, "annotations": []}
{"role": "volunteer", "content": "I think d is the answer and it's just a matter of how you are writing the answer", "session_id": 3920, "sequence_id": 184, "annotations": []}
{"role": "volunteer", "content": "but I recommend checking in with your teacher", "session_id": 3920, "sequence_id": 185, "annotations": []}
{"role": "volunteer", "content": "especially if this is not a test to check your knowledge", "session_id": 3920, "sequence_id": 186, "annotations": []}
{"role": "student", "content": "yea i definitly will", "session_id": 3920, "sequence_id": 187, "annotations": []}
{"role": "volunteer", "content": "okay", "session_id": 3920, "sequence_id": 188, "annotations": []}
{"role": "volunteer", "content": "good", "session_id": 3920, "sequence_id": 189, "annotations": []}
{"role": "volunteer", "content": "well, I hope that was a little bit of help", "session_id": 3920, "sequence_id": 190, "annotations": []}
{"role": "student", "content": "thanks for the help!!", "session_id": 3920, "sequence_id": 191, "annotations": []}
{"role": "volunteer", "content": "of course :)", "session_id": 3920, "sequence_id": 192, "annotations": []}
{"role": "volunteer", "content": "hey", "session_id": 3970, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "hi", "session_id": 3970, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "how u doing", "session_id": 3970, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "show me ur question whever u ready", "session_id": 3970, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "ood how r u", "session_id": 3970, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "good", "session_id": 3970, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "im good im good thanks for asking", "session_id": 3970, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "damn they making u do this in Grade 8", "session_id": 3970, "sequence_id": 7, "annotations": [{"pii_type": "GRADE_LEVEL", "surrogate": "Grade 8", "start": 30, "end": 37}]}
{"role": "volunteer", "content": "its not hard tho", "session_id": 3970, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "heyy", "session_id": 3970, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "omg im so sorry my laptop turned off", "session_id": 3970, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "hii", "session_id": 3985, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "Hi Mia.", "session_id": 3985, "sequence_id": 1, "annotations": [{"pii_type": "PERSON", "surrogate": "Mia", "start": 3, "end": 6}]}
{"role": "volunteer", "content": "How's it going?", "session_id": 3985, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "i need to do b", "session_id": 3985, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "Scientific notation.", "session_id": 3985, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "First write it in scientific notation, right?", "session_id": 3985, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "so what is 4,600,000?", "session_id": 3985, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "do you understand scientific notation?", "session_id": 3985, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "Are you still there?", "session_id": 3985, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "yea", "session_id": 3985, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "4.6", "session_id": 3985, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "Good. 4.6 times what power of 10?", "session_id": 3985, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "7", "session_id": 3985, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "6", "session_id": 3985, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "Six. There are six places after the 4. Right \ud83d\ude00", "session_id": 3985, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "mhm", "session_id": 3985, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "OK, so 4.6 x 10\u2076", "session_id": 3985, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "What is the 23 one?", "session_id": 3985, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "2.3 x  10^10?", "session_id": 3985, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "Great. There are three groups of 3 zeroes plus one more place for the three, so 10", "session_id": 3985, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "We can also write it as 2.3e10 for convenience.", "session_id": 3985, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "Now divide 4.6 x 10\u2076/(2.3x10\u00b90)", "session_id": 3985, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "h,,", "session_id": 3985, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "500?", "session_id": 3985, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "Hold on", "session_id": 3985, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "It's not that hard", "session_id": 3985, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "What is 4.6/2.3?", "session_id": 3985, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "2", "session_id": 3985, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "What is 6-10?", "session_id": 3985, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "-4", "session_id": 3985, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "Maya.", "session_id": 3985, "sequence_id": 30, "annotations": [{"pii_type": "PERSON", "surrogate": "Maya", "start": 0, "end": 4}]}
{"role": "volunteer", "content": "So that is the answer. In scientific notation, 2.0 x 10\u207b\u2074", "session_id": 3985, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "Do you know the rules for exponents, like \nx\u1d43/x\u1d47 = x\u1d43\u207b\u1d47", "session_id": 3985, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 3985, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "lets do c", "session_id": 3985, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "OK.", "session_id": 3985, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "What are the two numbers in scientific notation?", "session_id": 3985, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "idk", "session_id": 3985, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "5.6", "session_id": 3985, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "?", "session_id": 3985, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "How many places are there in the first one including the 5?", "session_id": 3985, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "Count them ...", "session_id": 3985, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "5.6 x 10^-12", "session_id": 3985, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "Yes! But I'm wondering, why did you first say you didn't know how to do it?", "session_id": 3985, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "Is something confusing you?", "session_id": 3985, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "oh", "session_id": 3985, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "do i do 80,000", "session_id": 3985, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "Yes.", "session_id": 3985, "sequence_id": 47, "annotations": []}
{"role": "student", "content": "8 x 1^5", "session_id": 3985, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "10^5", "session_id": 3985, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "ALmost", "session_id": 3985, "sequence_id": 50, "annotations": []}
{"role": "student", "content": "how", "session_id": 3985, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "how many places to the right of 8?", "session_id": 3985, "sequence_id": 52, "annotations": []}
{"role": "student", "content": "5", "session_id": 3985, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "I only see 4", "session_id": 3985, "sequence_id": 54, "annotations": []}
{"role": "student", "content": "10^4", "session_id": 3985, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "Now you can do it with a calculator 5.6/8, but do you know what 5.6 divided by 8 is?", "session_id": 3985, "sequence_id": 56, "annotations": []}
{"role": "student", "content": "0.70", "session_id": 3985, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "Fine. I was just saying that you could do it in your head by knowing 56/8 is 7", "session_id": 3985, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "So 0.7 x 10^what?", "session_id": 3985, "sequence_id": 59, "annotations": []}
{"role": "student", "content": "-7/", "session_id": 3985, "sequence_id": 60, "annotations": []}
{"role": "student", "content": "?", "session_id": 3985, "sequence_id": 61, "annotations": []}
{"role": "student", "content": "-8?", "session_id": 3985, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "-12 minus 4", "session_id": 3985, "sequence_id": 63, "annotations": []}
{"role": "student", "content": "-16", "session_id": 3985, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "Yes. So 0.7 x 10\u207b\u00b9\u2076. But that's not proper scientific notation", "session_id": 3985, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "What is the right answer then?", "session_id": 3985, "sequence_id": 66, "annotations": []}
{"role": "student", "content": "so how", "session_id": 3985, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "It's not right because you need to have one digit before the decimal point.", "session_id": 3985, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "so 0.7 x 10\u207b\u00b9\u2076 is 7.0 x 10\u207b\u00b9\u2077", "session_id": 3985, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "Does that make sense?", "session_id": 3985, "sequence_id": 70, "annotations": []}
{"role": "student", "content": "oh", "session_id": 3985, "sequence_id": 71, "annotations": []}
{"role": "student", "content": "nextt", "session_id": 3985, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "Let's have you do it and then I'll check it.", "session_id": 3985, "sequence_id": 73, "annotations": []}
{"role": "student", "content": "idk", "session_id": 3985, "sequence_id": 74, "annotations": []}
{"role": "volunteer", "content": "What part don't you know?", "session_id": 3985, "sequence_id": 75, "annotations": []}
{"role": "student", "content": "i do know but im a hurry", "session_id": 3985, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "But you're practicing for a test so you need to do the work. Just getting an answer is useless to you.", "session_id": 3985, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "Just write down the scientific notation and divide 8.4 by 4 (in your head), and subtract the exponents.", "session_id": 3985, "sequence_id": 78, "annotations": []}
{"role": "student", "content": "idkk i need to hurry", "session_id": 3985, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "OK, I told you the steps.", "session_id": 3985, "sequence_id": 80, "annotations": []}
{"role": "student", "content": "k", "session_id": 3985, "sequence_id": 81, "annotations": []}
{"role": "student", "content": "thats the bext question", "session_id": 3985, "sequence_id": 82, "annotations": []}
{"role": "student", "content": "this one", "session_id": 3985, "sequence_id": 83, "annotations": []}
{"role": "volunteer", "content": "OK, the exponents are:\n3 - thousand\n6 - million\n9  - billion\n12 - trillion", "session_id": 3985, "sequence_id": 84, "annotations": []}
{"role": "volunteer", "content": "So 35 billion is 35x10\u2079", "session_id": 3985, "sequence_id": 85, "annotations": []}
{"role": "volunteer", "content": "But you have to change it to 3.5 x 10\u00b9\u2070 for scientific notation", "session_id": 3985, "sequence_id": 86, "annotations": []}
{"role": "student", "content": "okk", "session_id": 3985, "sequence_id": 87, "annotations": []}
{"role": "volunteer", "content": "Do you need any more help?", "session_id": 3985, "sequence_id": 88, "annotations": []}
{"role": "student", "content": "yes", "session_id": 3985, "sequence_id": 89, "annotations": []}
{"role": "volunteer", "content": "OK. What do you need next?", "session_id": 3985, "sequence_id": 90, "annotations": []}
{"role": "volunteer", "content": "OK, since we're not doing anything right now, you can close this session and then come back later when you need more help. OK? \ud83d\ude00", "session_id": 3985, "sequence_id": 91, "annotations": []}
{"role": "student", "content": "im here", "session_id": 3985, "sequence_id": 92, "annotations": []}
{"role": "volunteer", "content": "But we're not doing anything", "session_id": 3985, "sequence_id": 93, "annotations": []}
{"role": "student", "content": "thee", "session_id": 3985, "sequence_id": 94, "annotations": []}
{"role": "volunteer", "content": "So you need to draw a region model. Can you draw one for 3/4 and one half?", "session_id": 3985, "sequence_id": 95, "annotations": []}
{"role": "volunteer", "content": "OK, I need to go. Have a good day! :-)", "session_id": 3985, "sequence_id": 96, "annotations": []}
{"role": "volunteer", "content": "hello", "session_id": 3989, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "Hi", "session_id": 3989, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "okay i need help", "session_id": 3989, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "uh its just two questiosn", "session_id": 3989, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "what is your question?", "session_id": 3989, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "so ill show you the problems and is it okay if we work through them together", "session_id": 3989, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 3989, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "okay so i can set it up and then like we can go thorugh it", "session_id": 3989, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "that's correct", "session_id": 3989, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "okay so now i would just do 1/2x10 sqaured which is 50", "session_id": 3989, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "I think it would be a good idea to include the units", "session_id": 3989, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "like that?", "session_id": 3989, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "it's not inches", "session_id": 3989, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "no yea sorry i looked at the wrong prblem", "session_id": 3989, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "go ahead and do the calculation", "session_id": 3989, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "ok i got this im gonna write it", "session_id": 3989, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "boom", "session_id": 3989, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "Good", "session_id": 3989, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "okay next one", "session_id": 3989, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "That's right", "session_id": 3989, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "are you all set now?", "session_id": 3989, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "no i dont know where to go from there", "session_id": 3989, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "Do the calculations.", "session_id": 3989, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "how", "session_id": 3989, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "i dont know how", "session_id": 3989, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "Any questions about that?", "session_id": 3989, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "It's just like multiplying fractions", "session_id": 3989, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "nope i got it. can you explain why we wouldnt use 1/2", "session_id": 3989, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "we did", "session_id": 3989, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "okay wait", "session_id": 3989, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "also", "session_id": 3989, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "yes i see that", "session_id": 3989, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "so when the 1/2 turns the sqaured number into a decimal we go back and leave it as a fraction correct?", "session_id": 3989, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "There is no decimal here.", "session_id": 3989, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "I will show the steps", "session_id": 3989, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "no", "session_id": 3989, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "its okay", "session_id": 3989, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "look", "session_id": 3989, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "there is", "session_id": 3989, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "because 7^2 is 49 and then 49 x 1/2 is a decimal", "session_id": 3989, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "so i go back and just leave as 49", "session_id": 3989, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "49 times 1/2 is 49/2", "session_id": 3989, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "brotato chip\ud83e\udd40", "session_id": 3989, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "if you multiply", "session_id": 3989, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "It is important to know that", "session_id": 3989, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "multiplying something by 1/2 is exactly the same thing as dividing it by 2", "session_id": 3989, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "is it because 49 is an odd number", "session_id": 3989, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "yes it is", "session_id": 3989, "sequence_id": 47, "annotations": []}
{"role": "student", "content": "okay i got", "session_id": 3989, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "it", "session_id": 3989, "sequence_id": 49, "annotations": []}
{"role": "student", "content": "thank you", "session_id": 3989, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "no", "session_id": 3989, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "yes it is", "session_id": 3989, "sequence_id": 52, "annotations": []}
{"role": "student", "content": "yes because you cannot half 49", "session_id": 3989, "sequence_id": 53, "annotations": []}
{"role": "student", "content": "thats what im trying to say", "session_id": 3989, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "It has nothing to do with 49 being an odd number", "session_id": 3989, "sequence_id": 55, "annotations": []}
{"role": "student", "content": "\ud83d\ude00", "session_id": 3989, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "however, because 49 is odd, 49/2 does not come out to be a whole number\\", "session_id": 3989, "sequence_id": 57, "annotations": []}
{"role": "student", "content": "thats what im trying to say", "session_id": 3989, "sequence_id": 58, "annotations": []}
{"role": "student", "content": "which is why it equals 49/2", "session_id": 3989, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "but 49/2 is a perfectly good number", "session_id": 3989, "sequence_id": 60, "annotations": []}
{"role": "student", "content": "yes", "session_id": 3989, "sequence_id": 61, "annotations": []}
{"role": "student", "content": "ok", "session_id": 3989, "sequence_id": 62, "annotations": []}
{"role": "student", "content": "thank you for your help sir", "session_id": 3989, "sequence_id": 63, "annotations": []}
{"role": "student", "content": "goodbye", "session_id": 3989, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "You are very welcome", "session_id": 3989, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "have a great rest of the day!  good work, by the way", "session_id": 3989, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "bye", "session_id": 3989, "sequence_id": 67, "annotations": []}
{"role": "student", "content": "Thank you! have a good day as well.", "session_id": 3989, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "Hi!", "session_id": 3982, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "hi", "session_id": 3982, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "What do you need help with?", "session_id": 3982, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "im sharing my scrren", "session_id": 3982, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "Can't see", "session_id": 3982, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "it", "session_id": 3982, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "give me a few minutes", "session_id": 3982, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "I'll be right back", "session_id": 3982, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "gonna get a pen and paper", "session_id": 3982, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "hi", "session_id": 3982, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "Hi!", "session_id": 4045, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "Hi what do you need help with", "session_id": 4045, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "I am looking over question on my calc test I got wrong and I was stuck on figuring out how to solve them", "session_id": 4045, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "Oh ok I can help you with that", "session_id": 4045, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "I have a problem on the board I was stuck on", "session_id": 4045, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "Do you know what a derivative is?", "session_id": 4045, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "yes!", "session_id": 4045, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "So what is it?", "session_id": 4045, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "a derivative would be like the rate of change/slope of a tangent line", "session_id": 4045, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "Yes! That's right", "session_id": 4045, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "So what is the slope for the graph you provided?", "session_id": 4045, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "Like I know that basing on the graph the derivative would be a parabola because the original function is a cubic", "session_id": 4045, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "Thats right", "session_id": 4045, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "but I don't know how to narrow down like I dont know if its going to be concave up or down", "session_id": 4045, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "The slope in the beginning is positive so the derivate has to be above the y axis", "session_id": 4045, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "would it be okay if we move to the board and use mic if possible", "session_id": 4045, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "sorry!", "session_id": 4045, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "Sorry, I am not available to use the mic right now", "session_id": 4045, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "oh ok no worries!", "session_id": 4045, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "At the max and min the derivative is zero because the tangent line is 0", "session_id": 4045, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "ok", "session_id": 4045, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "So which graph has the derivative at 0 at the max and min of the original graph", "session_id": 4045, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "a", "session_id": 4045, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "Yes! That's right", "session_id": 4045, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "thank you for your help today!", "session_id": 4045, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "No problem", "session_id": 4045, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "bye!", "session_id": 4045, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "Howdy !", "session_id": 4039, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "Hi", "session_id": 4039, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "So what's going on today in your math class?", "session_id": 4039, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "righting equations from this", "session_id": 4039, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "Okey dokey.", "session_id": 4039, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "So you're doing trig transformations (just kinda in reverse) right?", "session_id": 4039, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "ya", "session_id": 4039, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "like righting equations from this graph", "session_id": 4039, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "sin and cos", "session_id": 4039, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "Yep.", "session_id": 4039, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "So I wrote in blue the standard equation of a sine curve (with transformations).", "session_id": 4039, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "So based on what you're writing.", "session_id": 4039, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "a = 2.", "session_id": 4039, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "d = 0", "session_id": 4039, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "And you can either assume that this is a sine curve (with phase shift) or a cosine curve (with a different phase shift).", "session_id": 4039, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "Period = 2pi/B", "session_id": 4039, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "What is the period based on the picture?", "session_id": 4039, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "2pi", "session_id": 4039, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "So b = 1", "session_id": 4039, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "Again, I'm assuming a sine graph...", "session_id": 4039, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "is this right too?", "session_id": 4039, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "So that's the phase shift", "session_id": 4039, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "So c = 3pi/8", "session_id": 4039, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "So function is y = 2sine(x + 3Pi/8) + 0", "session_id": 4039, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "its minus", "session_id": 4039, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "Oops - that's a x - 3pi/8", "session_id": 4039, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "Yes, correct.", "session_id": 4039, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "so we find the phase shift for cos by seeing the closest max or min and seeing how much its close to 0?", "session_id": 4039, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "Hmmm...", "session_id": 4039, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "how do we find phase shift for cos", "session_id": 4039, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "Yes, you're right!", "session_id": 4039, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "oh okay yeah", "session_id": 4039, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "This is a cosine graph shifted right by 3pi/8", "session_id": 4039, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "Or a sine graph shifted right by a bit more than that.", "session_id": 4039, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "yaaa", "session_id": 4039, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "Either would be fine - you just gotta start from the right spot.", "session_id": 4039, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "ohhh okay yeah", "session_id": 4039, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "thats all", "session_id": 4039, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": ":-)", "session_id": 4039, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "Great - so best of luck to you and take care !!!", "session_id": 4039, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "Texas", "session_id": 4039, "sequence_id": 40, "annotations": [{"pii_type": "LOCATION", "surrogate": "Texas", "start": 0, "end": 5}]}
{"role": "volunteer", "content": "hello", "session_id": 4000, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "i did a  through c, but i need to do the rest", "session_id": 4000, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "hi", "session_id": 4000, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "lets do d", "session_id": 4000, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "yeah sure", "session_id": 4000, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "0.52 can be taken as 0.5 that is half half a value", "session_id": 4000, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "ohh", "session_id": 4000, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "294.5", "session_id": 4000, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "yeah great", "session_id": 4000, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "now for e 23% is close to 25% and 81 is close to 80", "session_id": 4000, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "oh", "session_id": 4000, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "so u need to find 25% of 80", "session_id": 4000, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "20?", "session_id": 4000, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "yeah well done", "session_id": 4000, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "okk", "session_id": 4000, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "now for f we have 35% of 22 here 22 is close to 20", "session_id": 4000, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "ok", "session_id": 4000, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "so we find 35% of 20", "session_id": 4000, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "7", "session_id": 4000, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "Well done!", "session_id": 4000, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "U need any more help feel free to ask", "session_id": 4000, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "yeha i do need mroe help", "session_id": 4000, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "Ok tell me", "session_id": 4000, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "there", "session_id": 4000, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "so for a whenever there is multiplication the powers add up", "session_id": 4000, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "so it will be 6.12*10^7*3", "session_id": 4000, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "no i find a better way to solve", "session_id": 4000, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "No thats wrong u can't divide them", "session_id": 4000, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "it is multiplication", "session_id": 4000, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "ohh", "session_id": 4000, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "for b and c u can try this method", "session_id": 4000, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "so how would do that in this type of format or idk", "session_id": 4000, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "for a u just add the powers", "session_id": 4000, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "oh", "session_id": 4000, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "whereas for the other two u can use this method", "session_id": 4000, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "so how would that look like on the board", "session_id": 4000, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "oh", "session_id": 4000, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "/", "session_id": 4000, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "?", "session_id": 4000, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "but we have solve it", "session_id": 4000, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "or ?", "session_id": 4000, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "idk", "session_id": 4000, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "is that the full answer for a", "session_id": 4000, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "??", "session_id": 4000, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "wait i am solving", "session_id": 4000, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "oh", "session_id": 4000, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "this is the way u solve", "session_id": 4000, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "if u want i can get u the final ans", "session_id": 4000, "sequence_id": 47, "annotations": []}
{"role": "student", "content": "oh", "session_id": 4000, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "yeha for a", "session_id": 4000, "sequence_id": 49, "annotations": []}
{"role": "student", "content": "whats the final answer for a", "session_id": 4000, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "Hope u understood", "session_id": 4000, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "i dont get it a", "session_id": 4000, "sequence_id": 52, "annotations": []}
{"role": "student", "content": "how did you how did you calculate", "session_id": 4000, "sequence_id": 53, "annotations": []}
{"role": "student", "content": "how did you get that for a", "session_id": 4000, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "Now u got it", "session_id": 4000, "sequence_id": 55, "annotations": []}
{"role": "student", "content": "yea", "session_id": 4000, "sequence_id": 56, "annotations": []}
{"role": "student", "content": "do we solve after solving 10^7/", "session_id": 4000, "sequence_id": 57, "annotations": []}
{"role": "student", "content": "?", "session_id": 4000, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "no that becomes complicated u can keep it this way itself", "session_id": 4000, "sequence_id": 59, "annotations": []}
{"role": "student", "content": "oh", "session_id": 4000, "sequence_id": 60, "annotations": []}
{"role": "student", "content": "Liam i have to show my work", "session_id": 4000, "sequence_id": 61, "annotations": [{"pii_type": "PERSON", "surrogate": "Liam", "start": 0, "end": 4}]}
{"role": "volunteer", "content": "hope u understood the process", "session_id": 4000, "sequence_id": 62, "annotations": []}
{"role": "student", "content": "no", "session_id": 4000, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "it is simple multiplication division", "session_id": 4000, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "what u didn't understood", "session_id": 4000, "sequence_id": 65, "annotations": []}
{"role": "student", "content": "im on c", "session_id": 4000, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "ok so now u show me how u solve", "session_id": 4000, "sequence_id": 67, "annotations": []}
{"role": "student", "content": "ok there", "session_id": 4000, "sequence_id": 68, "annotations": []}
{"role": "student", "content": "i understand it now", "session_id": 4000, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "u sure!", "session_id": 4000, "sequence_id": 70, "annotations": []}
{"role": "student", "content": "this one", "session_id": 4000, "sequence_id": 71, "annotations": []}
{"role": "student", "content": "explain why", "session_id": 4000, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "Scientific notation requires the first number to be:\nbetween 1 and 10 (1 \u2264 number < 10)\nBut here 12 is greater than 10, so we must adjust it.", "session_id": 4000, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "so the adjustment will be 1.2*10^11 and this is the scientific notation", "session_id": 4000, "sequence_id": 74, "annotations": []}
{"role": "student", "content": "hmm", "session_id": 4000, "sequence_id": 75, "annotations": []}
{"role": "student", "content": "hi! im on 11", "session_id": 4047, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "Great, how do you think we should start this problem", "session_id": 4047, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "I think its ASA", "session_id": 4047, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "It can also be SAA because QT is congruent to RT", "session_id": 4047, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "For it to be ASA, QT would have to be congruent to RS. Since the problem does not say that it is a rectangle, we can't prove that", "session_id": 4047, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "Does that make sense?", "session_id": 4047, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "yes", "session_id": 4047, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "Do you have any other questions?", "session_id": 4047, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "And #3 is QRT=STR", "session_id": 4047, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "SSA", "session_id": 4047, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "SAA", "session_id": 4047, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "Do you have any other questions?", "session_id": 4047, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "not for 11", "session_id": 4047, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "Do you want to work on 12 or 10?", "session_id": 4047, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "i already did 10", "session_id": 4047, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "What about 12?", "session_id": 4047, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "im not sure", "session_id": 4047, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "Do you have any other problems you need help with?", "session_id": 4047, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "I can also pull some up for extra practice", "session_id": 4047, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "i need to do the last 3", "session_id": 4047, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "which is 12 13 and 14", "session_id": 4047, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "Ok, for 12, we are already given 2 angles. Which side would need to be congruent to make ASA true", "session_id": 4047, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "AC and DF", "session_id": 4047, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "AC and DF are actually not directly between the two angles", "session_id": 4047, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "What about BC and EF?", "session_id": 4047, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "Do you see how they are directly next to both angles?", "session_id": 4047, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "yes", "session_id": 4047, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "Can you write the congruency statement?", "session_id": 4047, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "IN order for ASA to be congruent, angles BC and EF has to be congruent", "session_id": 4047, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "Lets try the second one.", "session_id": 4047, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "What angles have to be congruent for AAS to be true", "session_id": 4047, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "GH and JK has to be congruent", "session_id": 4047, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "They have already given us an angle and a side. So, we have to find one more angle that is congruent", "session_id": 4047, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "KG andn JH", "session_id": 4047, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "Those are sides. We are trying to find congruent angles", "session_id": 4047, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "K and H", "session_id": 4047, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "GKH has to be congruent to JHK or HGK can be congruent to KJH", "session_id": 4047, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "Do you want to try the next one?", "session_id": 4047, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "We have to find a congruent side and a congruent angle", "session_id": 4047, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "LMN and QNP", "session_id": 4047, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "That would be these two angles.", "session_id": 4047, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "That does not look right", "session_id": 4047, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "How about QNP and LMN?", "session_id": 4047, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "isnt that the same thing?", "session_id": 4047, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "typo meant to write LNM", "session_id": 4047, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "yes", "session_id": 4047, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "What other angle would make this ASA", "session_id": 4047, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "hello!", "session_id": 4031, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "Hello! What can I help you with today?", "session_id": 4031, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "i need help with a homework problem\u2026 i will post it on the board :)", "session_id": 4031, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "alright!", "session_id": 4031, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "i need help with number 7 :(", "session_id": 4031, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "No worries!", "session_id": 4031, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "We are solving for h, and we have to be careful because it's an inequality", "session_id": 4031, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "yes", "session_id": 4031, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "First, we can subtract 8 from both sides", "session_id": 4031, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "yes which is 6", "session_id": 4031, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "sorry -6", "session_id": 4031, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "Yes!", "session_id": 4031, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "Since we have a negative sign on both sides, we can divide the entire equation by -1 to make it positive", "session_id": 4031, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "however, if we multiply or divide by a negative number, the sign of the inequality flips", "session_id": 4031, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "Does that part make sense?", "session_id": 4031, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "yes", "session_id": 4031, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "Awesome!", "session_id": 4031, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "Now, to get rid of the 3 on both sides, should we multiply or divide it?", "session_id": 4031, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "Which one sill get rid of the 3 on the h's side?", "session_id": 4031, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "so what do we do we divide but we kcc?", "session_id": 4031, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "kcc?", "session_id": 4031, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "keep change change", "session_id": 4031, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "I'm actually not familiar with the term, but I know that we have to multiply 3 on both sides in order to isolate h", "session_id": 4031, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "sorry could i put it on the board?", "session_id": 4031, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "Sure!", "session_id": 4031, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "Perfect!", "session_id": 4031, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "That's perfect!", "session_id": 4031, "sequence_id": 26, "annotations": []}
{"role": "student", "content": ":)", "session_id": 4031, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "I just broke mine up a bit, but doing it all in one go works too", "session_id": 4031, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "Since we didn't multiply or divide by a negative number, the sign stays the same", "session_id": 4031, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "yes", "session_id": 4031, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "Now, just multiply the two fractions together!", "session_id": 4031, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "i got 18/4 but thats improper", "session_id": 4031, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "Yep! That's my answer too. Do you want to write it as a mixed fraction?", "session_id": 4031, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "sure :)", "session_id": 4031, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "Do you know how to do it?", "session_id": 4031, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "i got 4 1/2", "session_id": 4031, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "yes :)", "session_id": 4031, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "Yep! nice!", "session_id": 4031, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "You seem to already know how to solve inequalities pretty well, but let me know if you need help with anything!", "session_id": 4031, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "okay :)", "session_id": 4031, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "i am going to do the next problem but is it okahy if i put it ont he boar?", "session_id": 4031, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "Sure!", "session_id": 4031, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "sorry my keyboard is not working", "session_id": 4031, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "No worries!", "session_id": 4031, "sequence_id": 44, "annotations": []}
{"role": "student", "content": ":)", "session_id": 4031, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "Based off the circled problems, I'm going to start with 11", "session_id": 4031, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "To find the error in the inequality, you can also solve it yourself and compare answers with the textbook", "session_id": 4031, "sequence_id": 47, "annotations": []}
{"role": "student", "content": "oh sorry we are oing 12-16", "session_id": 4031, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "Gotcha!", "session_id": 4031, "sequence_id": 49, "annotations": []}
{"role": "student", "content": ":)", "session_id": 4031, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "For 12, what would you do as your first step?", "session_id": 4031, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "distribute :)", "session_id": 4031, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "Yep! But another way would be to divide out 5 immediately", "session_id": 4031, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "That way you get a nice clean inequality to solve!", "session_id": 4031, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "After dividing out 5, you can immediately subtract 4 and get an answer", "session_id": 4031, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "Let me know what you get!", "session_id": 4031, "sequence_id": 56, "annotations": []}
{"role": "student", "content": "sorry i did this,", "session_id": 4031, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "No worries!", "session_id": 4031, "sequence_id": 58, "annotations": []}
{"role": "student", "content": "so im stuck if we flip the sign or not", "session_id": 4031, "sequence_id": 59, "annotations": []}
{"role": "student", "content": "i dont think so since we are subtracting", "session_id": 4031, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "You would be correct!", "session_id": 4031, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "We only flip the sign if we multiply or divide by a negative number", "session_id": 4031, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "Adding or subtracting doesn't change it :)", "session_id": 4031, "sequence_id": 63, "annotations": []}
{"role": "student", "content": "ohh okay thank you so much", "session_id": 4031, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "No problem!", "session_id": 4031, "sequence_id": 65, "annotations": []}
{"role": "student", "content": "so i got g>-1", "session_id": 4031, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "Yep! Nice!", "session_id": 4031, "sequence_id": 67, "annotations": []}
{"role": "student", "content": "we kept the sign even though we did -5/5", "session_id": 4031, "sequence_id": 68, "annotations": []}
{"role": "student", "content": "don\u2019t*", "session_id": 4031, "sequence_id": 69, "annotations": []}
{"role": "student", "content": "right", "session_id": 4031, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "Yes, if you're just dividing by 5, then the sign is the same", "session_id": 4031, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "As long as the number that is doing the dividing is positive, the sign doesn't change", "session_id": 4031, "sequence_id": 72, "annotations": []}
{"role": "student", "content": "oh so the denominator is doing the dividing right", "session_id": 4031, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "Yes, the number in the denominator determines the signs fate", "session_id": 4031, "sequence_id": 74, "annotations": []}
{"role": "student", "content": "ohh okay", "session_id": 4031, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "So if it is 20 divided by -4, the sign would change", "session_id": 4031, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "If it is -20 divided by 4, the sign wouldn't change, because the thing doing the dividing is positive", "session_id": 4031, "sequence_id": 77, "annotations": []}
{"role": "student", "content": "ohhh that makes so much sense now", "session_id": 4031, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "Glad to hear it!", "session_id": 4031, "sequence_id": 79, "annotations": []}
{"role": "student", "content": "i was confuse on that thank you so much for solving my confusion!", "session_id": 4031, "sequence_id": 80, "annotations": []}
{"role": "volunteer", "content": "No problem!", "session_id": 4031, "sequence_id": 81, "annotations": []}
{"role": "volunteer", "content": "If you have anymore questions, feel free to ask! If not, and if you feel confident, feel free to end the session!", "session_id": 4031, "sequence_id": 82, "annotations": []}
{"role": "student", "content": "okay :)", "session_id": 4031, "sequence_id": 83, "annotations": []}
{"role": "student", "content": "i think i am confident :)", "session_id": 4031, "sequence_id": 84, "annotations": []}
{"role": "volunteer", "content": "Fantastic!", "session_id": 4031, "sequence_id": 85, "annotations": []}
{"role": "student", "content": "thank you so much :)", "session_id": 4031, "sequence_id": 86, "annotations": []}
{"role": "volunteer", "content": "No problem!", "session_id": 4031, "sequence_id": 87, "annotations": []}
{"role": "volunteer", "content": "Have a great day!", "session_id": 4031, "sequence_id": 88, "annotations": []}
{"role": "student", "content": "bye! You too :)", "session_id": 4031, "sequence_id": 89, "annotations": []}
{"role": "volunteer", "content": "hello", "session_id": 4114, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "hello", "session_id": 4114, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "how may I help you this afternoon?", "session_id": 4114, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "nvm", "session_id": 4114, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "Sorry?", "session_id": 4114, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "my teacher said i cant us u", "session_id": 4114, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "use", "session_id": 4114, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "oh, I see.", "session_id": 4114, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "ya thx for ur helpppppppp", "session_id": 4114, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "you are welcome", "session_id": 4114, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "bye", "session_id": 4114, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "bye Sam", "session_id": 4114, "sequence_id": 11, "annotations": [{"pii_type": "PERSON", "surrogate": "Sam", "start": 4, "end": 7}]}
{"role": "student", "content": "hello, can you help me with my ixl's?", "session_id": 4146, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "Hi, Sure I am happy to try to help", "session_id": 4146, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "can i tell u my answer and then maybe u can help me by showing me the right answer?", "session_id": 4146, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "sounds good?", "session_id": 4146, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "Sure, that's fine.", "session_id": 4146, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "Do you have it to put on the screen?", "session_id": 4146, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "is it C for this one", "session_id": 4146, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "Sorry I'm not sure what the answer is,", "session_id": 4146, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "But I wouldn't say C", "session_id": 4146, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "because those segments are the same length..", "session_id": 4146, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "I think it's B", "session_id": 4146, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "B?", "session_id": 4146, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "Think so", "session_id": 4146, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "Why isnt it A", "session_id": 4146, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "I'm not sure about this question, sorry.", "session_id": 4146, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "You can switch to another tutor, that might be better.", "session_id": 4146, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "oh ok", "session_id": 4146, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "Ok I'll end the session.  Sorry, thank you for having me try.", "session_id": 4146, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "Ok", "session_id": 4172, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "hello", "session_id": 4172, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "Hi", "session_id": 4172, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "Hi", "session_id": 4172, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "how can I help?", "session_id": 4172, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "Algebra 1", "session_id": 4172, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "Algebra 1aolving inequalities ", "session_id": 4172, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 4172, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "I put something on the whiteboard ", "session_id": 4172, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "we need the exam scores", "session_id": 4172, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "Ok", "session_id": 4172, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "the variable is set to x, which represents the points Sarah got on her exam", "session_id": 4172, "sequence_id": 11, "annotations": [{"pii_type": "PERSON", "surrogate": "Sarah", "start": 54, "end": 59}]}
{"role": "student", "content": "1Ok", "session_id": 4172, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "Okay", "session_id": 4172, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "her score, x, is greater 100-27", "session_id": 4172, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "so, x is greater than 73", "session_id": 4172, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "So that would 100>27?", "session_id": 4172, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "So I write down what you put at the top", "session_id": 4172, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 4172, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "x>100-27", "session_id": 4172, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "if she lose less than 27 points, it means she got at least a 73, right?", "session_id": 4172, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "Yes!", "session_id": 4172, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "now we need to see the rest of the table", "session_id": 4172, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "Ok", "session_id": 4172, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "can you tell us what is written on the right side of the table?", "session_id": 4172, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "The box?", "session_id": 4172, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 4172, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "It's the grade and points", "session_id": 4172, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "right, I cannot see the point", "session_id": 4172, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "what is to the right of the A?", "session_id": 4172, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "Ok I updated the image ", "session_id": 4172, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "ok, so what grade could Sarah get?", "session_id": 4172, "sequence_id": 31, "annotations": [{"pii_type": "PERSON", "surrogate": "Sarah", "start": 24, "end": 29}]}
{"role": "student", "content": "Something less than 27???", "session_id": 4172, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "she lost less than 27 points out 100, she got less than 27 off", "session_id": 4172, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "100 minus 27?", "session_id": 4172, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "so, she has more than 73", "session_id": 4172, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "which grades represent higher than 73?", "session_id": 4172, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "A c", "session_id": 4172, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "A, B and C", "session_id": 4172, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "Oops my bad", "session_id": 4172, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "do you understand that?", "session_id": 4172, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "Yes my bad I wasn't looking at the others", "session_id": 4172, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "so, for b. it would be that she got a C or above on the exam", "session_id": 4172, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 4172, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "should we do another problem, or that is it?", "session_id": 4172, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "What do I write down", "session_id": 4172, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "for a, write what I put on top of the page", "session_id": 4172, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "Yes I put that", "session_id": 4172, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "for b, Sarah got a C or above on the exam", "session_id": 4172, "sequence_id": 48, "annotations": [{"pii_type": "PERSON", "surrogate": "Sarah", "start": 7, "end": 12}]}
{"role": "volunteer", "content": "that's it", "session_id": 4172, "sequence_id": 49, "annotations": []}
{"role": "student", "content": "The next one says find the error but it's hard to see", "session_id": 4172, "sequence_id": 50, "annotations": []}
{"role": "student", "content": "I think I'm ok for tonoght", "session_id": 4172, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "Thank you for the help", "session_id": 4172, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "you're welcome", "session_id": 4172, "sequence_id": 53, "annotations": []}
{"role": "student", "content": "I have a few questions I need help completing", "session_id": 4176, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "I am unable of speaking and listening on voice", "session_id": 4176, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "Hello", "session_id": 4176, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "Hi im glad to help you", "session_id": 4176, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "Hello, so I have these few questions for my precalc class and I'm a bit confused on how to apprach it. How can I do this?", "session_id": 4176, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "Oh just send to me", "session_id": 4176, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "I had sent a picture in the whiteboard area", "session_id": 4176, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "But if you cannot see it, I can read them out to you", "session_id": 4176, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "Im sorry I can\u2019t see that could you type it in", "session_id": 4176, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "Yes, I will", "session_id": 4176, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "Question: Find the exact value.", "session_id": 4176, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "33: 315 degrees", "session_id": 4176, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "315 is a quadrant 4 is the same value=360-45 -sin45", "session_id": 4176, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "Sin(45)=0.851", "session_id": 4176, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "So there is calculator work?", "session_id": 4176, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 4176, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "Or you can answer", "session_id": 4176, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "uh huh?", "session_id": 4176, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "root 2 over 2", "session_id": 4176, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "Right", "session_id": 4176, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "Does it help to get your answers?", "session_id": 4176, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 4176, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "So, if I were to start on the next one, 34: csc 9pi/4", "session_id": 4176, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "Sure", "session_id": 4176, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "would I convert to degrees first?", "session_id": 4176, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "Or is there a way without converting?", "session_id": 4176, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "You dont need to convert degrees it is alot easier if you use Radian", "session_id": 4176, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "Radian", "session_id": 4176, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "How can I do that?", "session_id": 4176, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "So 9pi/4 is bigger that 2pi so substract 2pi 9pi/4-8pi/4=pi/4", "session_id": 4176, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "pi/4 is 60 degrees", "session_id": 4176, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "Isn't it?", "session_id": 4176, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "Or am I wrong", "session_id": 4176, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "Pi/4=180/4=45", "session_id": 4176, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "So it will be 45degrees", "session_id": 4176, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "Oh yeah, sorry", "session_id": 4176, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "so then, csc(45) in my calculator", "session_id": 4176, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "and that is the answer?", "session_id": 4176, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "oh shoot, I have a Texas Instruments TI-30XIIS, but it doesn't seem to show any of the reciprocals", "session_id": 4176, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "I only see sin, cos, tan, and sin^-1, cos^-1, and tan^-1", "session_id": 4176, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "But the exacst value means nodecimals so just root 2", "session_id": 4176, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "You don\u2019t have to use calculator", "session_id": 4176, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "How do you know how to make it a root?", "session_id": 4176, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "The final conclusion was csc(45), how do I know this concludes in root(2)?", "session_id": 4176, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "Because sin 45\u00b0 = \u221a2/2.\ncsc = 1/sin, so 1 / (\u221a2/2) = \u221a2.", "session_id": 4176, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "uh huh", "session_id": 4176, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "Okay, I see", "session_id": 4176, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "for tan(-135) how could I go about that?", "session_id": 4176, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "Just 45 degrees and Tangent is positive in Quadrant 3 so the answer is 1", "session_id": 4176, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "Okay, I see", "session_id": 4176, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "Is this helping you?", "session_id": 4176, "sequence_id": 50, "annotations": []}
{"role": "student", "content": "I'm partially a bit confused", "session_id": 4176, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "My apologies", "session_id": 4176, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "Is there any help  i can do?", "session_id": 4176, "sequence_id": 53, "annotations": []}
{"role": "student", "content": "I understand using the astc rule for the positive tangent, but how come it results in 1?", "session_id": 4176, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "45\u00b0 triangles always give tan = 1 because sin and cos are equal.\nSince 225\u00b0 has a 45\u00b0 reference angle and tangent is positive there, the answer is 1", "session_id": 4176, "sequence_id": 55, "annotations": []}
{"role": "student", "content": "So, if tangent were in another quadrant, and was negative", "session_id": 4176, "sequence_id": 56, "annotations": []}
{"role": "student", "content": "It would be negative 1?", "session_id": 4176, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "Yes exactly", "session_id": 4176, "sequence_id": 58, "annotations": []}
{"role": "student", "content": "Okay, I see", "session_id": 4176, "sequence_id": 59, "annotations": []}
{"role": "student", "content": "if it were to be cotangent, what would it be?", "session_id": 4176, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "Cotangent is 1/tangent.\nSince tan(\u2013135\u00b0) = 1, cot(\u2013135\u00b0) = 1 as well", "session_id": 4176, "sequence_id": 61, "annotations": []}
{"role": "student", "content": "I see", "session_id": 4176, "sequence_id": 62, "annotations": []}
{"role": "student", "content": "Going back to Sin and Cosecant, how come the roots come into play?", "session_id": 4176, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "The roots come from the special triangles.\nA 45\u00b0 triangle has sides 1, 1, and \u221a2, so sin(45\u00b0) = 1/\u221a2 = \u221a2/2, and csc(45\u00b0) becomes \u221a2", "session_id": 4176, "sequence_id": 64, "annotations": []}
{"role": "student", "content": "Wait, the second part where sin(45)=1/root(2) changes into root(2)/2, what's that about?", "session_id": 4176, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "1/\u221a2 becomes \u221a2/2 because we multiply top and bottom by \u221a2 to remove the root in the denominator", "session_id": 4176, "sequence_id": 66, "annotations": []}
{"role": "student", "content": "I see", "session_id": 4176, "sequence_id": 67, "annotations": []}
{"role": "student", "content": "and root(2) * root(2) = 2", "session_id": 4176, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "Yes thats correct", "session_id": 4176, "sequence_id": 69, "annotations": []}
{"role": "student", "content": "and you told me earlier that csc(45)= 2root(2)", "session_id": 4176, "sequence_id": 70, "annotations": []}
{"role": "student", "content": "But I'm confused", "session_id": 4176, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "csc(45\u00b0) simplifies to \u221a2, not 2\u221a2. The 2 cancels out when simplifying", "session_id": 4176, "sequence_id": 72, "annotations": []}
{"role": "student", "content": "uh huh", "session_id": 4176, "sequence_id": 73, "annotations": []}
{"role": "student", "content": "So basically, sin and csc(45) are the same answer?", "session_id": 4176, "sequence_id": 74, "annotations": []}
{"role": "volunteer", "content": "Yes", "session_id": 4176, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "Is there are any help i could do", "session_id": 4176, "sequence_id": 76, "annotations": []}
{"role": "student", "content": "Just 2 more please", "session_id": 4176, "sequence_id": 77, "annotations": []}
{"role": "student", "content": "Sorry to use your time", "session_id": 4176, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "No im glad to help you", "session_id": 4176, "sequence_id": 79, "annotations": []}
{"role": "student", "content": "for 36: cos 5pi/6", "session_id": 4176, "sequence_id": 80, "annotations": []}
{"role": "student", "content": "I should not reduce it by anything, otherwise it's negative, right?", "session_id": 4176, "sequence_id": 81, "annotations": []}
{"role": "student", "content": "So going off that, it's less than pi, which is in quadrant II", "session_id": 4176, "sequence_id": 82, "annotations": []}
{"role": "student", "content": "quadrant II is for +sin", "session_id": 4176, "sequence_id": 83, "annotations": []}
{"role": "student", "content": "But it's cosine, so it's going to be negative, correct?", "session_id": 4176, "sequence_id": 84, "annotations": []}
{"role": "student", "content": "the ref angle is 45", "session_id": 4176, "sequence_id": 85, "annotations": []}
{"role": "student", "content": "so, cos(45)", "session_id": 4176, "sequence_id": 86, "annotations": []}
{"role": "volunteer", "content": "cos(5\u03c0/6) is in Quadrant 2, reference angle 30\u00b0, so the value is \u2013\u221a3/2.", "session_id": 4176, "sequence_id": 87, "annotations": []}
{"role": "student", "content": "reference angle is 30?", "session_id": 4176, "sequence_id": 88, "annotations": []}
{"role": "student", "content": "oopsie", "session_id": 4176, "sequence_id": 89, "annotations": []}
{"role": "student", "content": "Where did you get rad(3)/2?", "session_id": 4176, "sequence_id": 90, "annotations": []}
{"role": "volunteer", "content": "\u221a3/2 is the cosine of 30\u00b0.\n5\u03c0/6 has a 30\u00b0 reference angle, and cosine is negative in Quadrant 2, so the value is \u2013\u221a3/2", "session_id": 4176, "sequence_id": 91, "annotations": []}
{"role": "student", "content": "when I'm looking at a 45-45-90 triangle", "session_id": 4176, "sequence_id": 92, "annotations": []}
{"role": "student", "content": "the sides are x and xroot(2)", "session_id": 4176, "sequence_id": 93, "annotations": []}
{"role": "student", "content": "but where do you get the rad(3)?", "session_id": 4176, "sequence_id": 94, "annotations": []}
{"role": "volunteer", "content": "\u221a3 comes from the 30\u201360\u201390 special triangle.\nIts sides are 1, \u221a3, and 2.\nThe 45\u201345\u201390 triangle only has x, x, and x\u221a2 \u2014 no \u221a3 there", "session_id": 4176, "sequence_id": 95, "annotations": []}
{"role": "student", "content": "oh yeah, my apologies", "session_id": 4176, "sequence_id": 96, "annotations": []}
{"role": "student", "content": "1 is the side opposite of 30, right?", "session_id": 4176, "sequence_id": 97, "annotations": []}
{"role": "volunteer", "content": "Yes, the side opposite 30\u00b0 is 1.\nOpposite 60\u00b0 is \u221a3.\nThose come from the 30\u201360\u201390 special triangle ratios", "session_id": 4176, "sequence_id": 98, "annotations": []}
{"role": "student", "content": "I see", "session_id": 4176, "sequence_id": 99, "annotations": []}
{"role": "student", "content": "Okay, I understand", "session_id": 4176, "sequence_id": 100, "annotations": []}
{"role": "student", "content": "So, two more", "session_id": 4176, "sequence_id": 101, "annotations": []}
{"role": "student", "content": "cot(-22pi/3)", "session_id": 4176, "sequence_id": 102, "annotations": []}
{"role": "student", "content": "I would start with the quadrant and ref angle", "session_id": 4176, "sequence_id": 103, "annotations": []}
{"role": "student", "content": "so, I would -4pi?", "session_id": 4176, "sequence_id": 104, "annotations": []}
{"role": "student", "content": "(2pi but twice)", "session_id": 4176, "sequence_id": 105, "annotations": []}
{"role": "student", "content": "I'll probably need to do it more", "session_id": 4176, "sequence_id": 106, "annotations": []}
{"role": "volunteer", "content": "Reduce \u201322\u03c0/3 \u2192 2\u03c0/3.\nReference angle 60\u00b0.\ncot(60\u00b0)= \u221a3/3 and cot is negative in Quadrant 2, so the answer is \u2013\u221a3/3", "session_id": 4176, "sequence_id": 107, "annotations": []}
{"role": "volunteer", "content": "Is there are any help you with", "session_id": 4176, "sequence_id": 108, "annotations": []}
{"role": "student", "content": "No, I think that's it", "session_id": 4176, "sequence_id": 109, "annotations": []}
{"role": "student", "content": "It has been a pleasure to learn from you, thank you so much", "session_id": 4176, "sequence_id": 110, "annotations": []}
{"role": "student", "content": "Have a great rest of your day", "session_id": 4176, "sequence_id": 111, "annotations": []}
{"role": "student", "content": "My apologies that I cannot wait for you come back, I am running short on time", "session_id": 4176, "sequence_id": 112, "annotations": []}
{"role": "volunteer", "content": "hi whats up", "session_id": 4190, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "I need help with my homework", "session_id": 4190, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "ok give me a moment", "session_id": 4190, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "ok", "session_id": 4190, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "ok so for the first problem", "session_id": 4190, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "the equation is saying that for each number in th series, u multiply the previous term by n", "session_id": 4190, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "because it n times (a n-1) right", "session_id": 4190, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "a n-1 represents the previous term", "session_id": 4190, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "dose n stays constant", "session_id": 4190, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "so n is the number next to the a", "session_id": 4190, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "let me show u", "session_id": 4190, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "okay", "session_id": 4190, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "so in the first line, n = 1", "session_id": 4190, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "because we are caluclating for a_1", "session_id": 4190, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "in the second line, n = 2 because we're calculating for a_2", "session_id": 4190, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "a_5= 5 times a_4", "session_id": 4190, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "almost but not quite", "session_id": 4190, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "the n is multiplied by the previous term", "session_id": 4190, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "so if we want to solve a_5, we would multiple n times a_4", "session_id": 4190, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "bc 5-1 = 4", "session_id": 4190, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "so what would a_3 be", "session_id": 4190, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "if we're solving for a_9, we would multiply the n value (9) times a_8", "session_id": 4190, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "well you have to go through and solve a_1 first", "session_id": 4190, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "do u see what i wrote", "session_id": 4190, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "do u see the pattern", "session_id": 4190, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "a_5 would be 5 times a_4?", "session_id": 4190, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 4190, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "and to solve a_5 u have to go through and solve a_3 and a_4", "session_id": 4190, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "because they all depend on each other", "session_id": 4190, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "ok", "session_id": 4190, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "why dont you try solving a_3", "session_id": 4190, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "ok", "session_id": 4190, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "since a_1=1", "session_id": 4190, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "4 times 3 - 12", "session_id": 4190, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "so 12", "session_id": 4190, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "=*", "session_id": 4190, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "for a_3?", "session_id": 4190, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "yes", "session_id": 4190, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "what did u get for a_1", "session_id": 4190, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "2", "session_id": 4190, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "the answer is 24 so im trying to find ur mistake", "session_id": 4190, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "thats right for a_1", "session_id": 4190, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "what did u get got a_2", "session_id": 4190, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "for", "session_id": 4190, "sequence_id": 43, "annotations": []}
{"role": "student", "content": "12", "session_id": 4190, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "but a_2 is 2", "session_id": 4190, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "so a_3 would be 3 times 2", "session_id": 4190, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "ok", "session_id": 4190, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "so whats a_3 then", "session_id": 4190, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "6", "session_id": 4190, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 4190, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "and then whats a_4", "session_id": 4190, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "12 4 times 3", "session_id": 4190, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "why?", "session_id": 4190, "sequence_id": 53, "annotations": []}
{"role": "student", "content": "wait no no no", "session_id": 4190, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "a_4 = 4 times a_3", "session_id": 4190, "sequence_id": 55, "annotations": []}
{"role": "student", "content": "is 24", "session_id": 4190, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "yess good job", "session_id": 4190, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "ok now do the same for a_5", "session_id": 4190, "sequence_id": 58, "annotations": []}
{"role": "student", "content": "4 times 6", "session_id": 4190, "sequence_id": 59, "annotations": []}
{"role": "student", "content": "= 24", "session_id": 4190, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 4190, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "now a_5 is the same pattern but the n is different because now its 5", "session_id": 4190, "sequence_id": 62, "annotations": []}
{"role": "student", "content": "5 times 20", "session_id": 4190, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "why 20", "session_id": 4190, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "we said a_4 is 24 right?", "session_id": 4190, "sequence_id": 65, "annotations": []}
{"role": "student", "content": "yes", "session_id": 4190, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "so where did u get 20 from", "session_id": 4190, "sequence_id": 67, "annotations": []}
{"role": "student", "content": "5 times 24", "session_id": 4190, "sequence_id": 68, "annotations": []}
{"role": "student", "content": "=120", "session_id": 4190, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "yup", "session_id": 4190, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "yes good job", "session_id": 4190, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "u have ur answer!", "session_id": 4190, "sequence_id": 72, "annotations": []}
{"role": "student", "content": "3", "session_id": 4190, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 4190, "sequence_id": 74, "annotations": []}
{"role": "student", "content": "can we move faster though I have 7 more and I have to be somewhere", "session_id": 4190, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "yeah", "session_id": 4190, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "ok so u have to find the pattern between the numbers", "session_id": 4190, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "what can u add to each to get the next number", "session_id": 4190, "sequence_id": 78, "annotations": []}
{"role": "student", "content": "15", "session_id": 4190, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "yeah so i wrote the formula", "session_id": 4190, "sequence_id": 80, "annotations": []}
{"role": "volunteer", "content": "d is the difference between them", "session_id": 4190, "sequence_id": 81, "annotations": []}
{"role": "volunteer", "content": "so 15 as u said", "session_id": 4190, "sequence_id": 82, "annotations": []}
{"role": "volunteer", "content": "and a_1 is the value given", "session_id": 4190, "sequence_id": 83, "annotations": []}
{"role": "volunteer", "content": "-27", "session_id": 4190, "sequence_id": 84, "annotations": []}
{"role": "volunteer", "content": "it says that in the problem", "session_id": 4190, "sequence_id": 85, "annotations": []}
{"role": "volunteer", "content": "so u just plug in the values", "session_id": 4190, "sequence_id": 86, "annotations": []}
{"role": "volunteer", "content": "u keep the n because thats a variable", "session_id": 4190, "sequence_id": 87, "annotations": []}
{"role": "student", "content": "n+27 times 15", "session_id": 4190, "sequence_id": 88, "annotations": []}
{"role": "student", "content": "which gves", "session_id": 4190, "sequence_id": 89, "annotations": []}
{"role": "volunteer", "content": "hmm", "session_id": 4190, "sequence_id": 90, "annotations": []}
{"role": "volunteer", "content": "wait can you write on the screen", "session_id": 4190, "sequence_id": 91, "annotations": []}
{"role": "volunteer", "content": "and substitute in a_1 and d", "session_id": 4190, "sequence_id": 92, "annotations": []}
{"role": "volunteer", "content": "-27 for a_1 and 15 for d", "session_id": 4190, "sequence_id": 93, "annotations": []}
{"role": "student", "content": "cant", "session_id": 4190, "sequence_id": 94, "annotations": []}
{"role": "volunteer", "content": "ok ok", "session_id": 4190, "sequence_id": 95, "annotations": []}
{"role": "volunteer", "content": "no problem", "session_id": 4190, "sequence_id": 96, "annotations": []}
{"role": "volunteer", "content": "but if u did u basically have the answer", "session_id": 4190, "sequence_id": 97, "annotations": []}
{"role": "student", "content": "405 n", "session_id": 4190, "sequence_id": 98, "annotations": []}
{"role": "student", "content": "no wait", "session_id": 4190, "sequence_id": 99, "annotations": []}
{"role": "student", "content": "-27n +15", "session_id": 4190, "sequence_id": 100, "annotations": []}
{"role": "volunteer", "content": "ur not multiplying n and -27", "session_id": 4190, "sequence_id": 101, "annotations": []}
{"role": "volunteer", "content": "your adding -27", "session_id": 4190, "sequence_id": 102, "annotations": []}
{"role": "student", "content": "ok", "session_id": 4190, "sequence_id": 103, "annotations": []}
{"role": "volunteer", "content": "but what i wrote matches one of the answer options", "session_id": 4190, "sequence_id": 104, "annotations": []}
{"role": "volunteer", "content": "so", "session_id": 4190, "sequence_id": 105, "annotations": []}
{"role": "volunteer", "content": "you understand the formula we're using right", "session_id": 4190, "sequence_id": 106, "annotations": []}
{"role": "student", "content": "4", "session_id": 4190, "sequence_id": 107, "annotations": []}
{"role": "volunteer", "content": "anytime u have a_1 and the difference between the numbers, u can j plug it in", "session_id": 4190, "sequence_id": 108, "annotations": []}
{"role": "volunteer", "content": "yes 4 is right", "session_id": 4190, "sequence_id": 109, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 4190, "sequence_id": 110, "annotations": []}
{"role": "volunteer", "content": "anything else?", "session_id": 4190, "sequence_id": 111, "annotations": []}
{"role": "volunteer", "content": "oh sorry", "session_id": 4190, "sequence_id": 112, "annotations": []}
{"role": "volunteer", "content": "ok for #4", "session_id": 4190, "sequence_id": 113, "annotations": []}
{"role": "volunteer", "content": "u know that the domain is all the possible x values right?", "session_id": 4190, "sequence_id": 114, "annotations": []}
{"role": "student", "content": "yes", "session_id": 4190, "sequence_id": 115, "annotations": []}
{"role": "volunteer", "content": "so if you look at the list of coordinates given, you just need to find all the x values there are", "session_id": 4190, "sequence_id": 116, "annotations": []}
{"role": "student", "content": "I can use desmos", "session_id": 4190, "sequence_id": 117, "annotations": []}
{"role": "volunteer", "content": "u rly dont need to", "session_id": 4190, "sequence_id": 118, "annotations": []}
{"role": "volunteer", "content": "but if u want sure", "session_id": 4190, "sequence_id": 119, "annotations": []}
{"role": "student", "content": "wait sorry have to go bye", "session_id": 4190, "sequence_id": 120, "annotations": []}
{"role": "volunteer", "content": "ok bye", "session_id": 4190, "sequence_id": 121, "annotations": []}
{"role": "volunteer", "content": "hi", "session_id": 4175, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "Hey sorry for the late response my laptop gets very buggy while using this site", "session_id": 4175, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "Hello", "session_id": 4175, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "hello", "session_id": 4175, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "hi", "session_id": 4175, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "Um", "session_id": 4175, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "I apologize for the late response. My laptop", "session_id": 4175, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "doesn't work well on this website, so it tends to freeze a lot.", "session_id": 4175, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "no rush", "session_id": 4175, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "But if I do go quiet for a certain amount of time, the laptop just froze. I'm, I'm like still here. I'll put the um problem on the board.", "session_id": 4175, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "take your time", "session_id": 4175, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "There is the problem", "session_id": 4175, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "okay", "session_id": 4175, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "those z-scores should be the same", "session_id": 4175, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "except one negative and one positive", "session_id": 4175, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "Oh I did not solve this, so I would appreciate it if you went through everything with me", "session_id": 4175, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "I just know that its wrong", "session_id": 4175, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "do you have a z-table handy?", "session_id": 4175, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 4175, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "do you see my sketch?", "session_id": 4175, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "yes", "session_id": 4175, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "I see a key word at the very top of the screen", "session_id": 4175, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "Okay", "session_id": 4175, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "Middle", "session_id": 4175, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "Ah yes, I shaded it on my end", "session_id": 4175, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "if we are covering 95% what is left uncovered?", "session_id": 4175, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "-2 - 3 and 2 - 3", "session_id": 4175, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "what percentage is left uncovered?", "session_id": 4175, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "2.5", "session_id": 4175, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "percent", "session_id": 4175, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "in each tail, good", "session_id": 4175, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "and that as decimal is?", "session_id": 4175, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "0.25", "session_id": 4175, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "are you sure?", "session_id": 4175, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "no", "session_id": 4175, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "2.5/100=", "session_id": 4175, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "0.025", "session_id": 4175, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "good", "session_id": 4175, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "can you find that in the z-table?", "session_id": 4175, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "Would I be looking for the number cloeset o 0.025 internally, or should I look externally?", "session_id": 4175, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "the closest or split the difference if it falls that way", "session_id": 4175, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "okay", "session_id": 4175, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "you might need to add a trailing zero", "session_id": 4175, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "0.0250", "session_id": 4175, "sequence_id": 43, "annotations": []}
{"role": "student", "content": "Alex on the z-score table", "session_id": 4175, "sequence_id": 44, "annotations": [{"pii_type": "PERSON", "surrogate": "Alex", "start": 0, "end": 4}]}
{"role": "volunteer", "content": "good", "session_id": 4175, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "do we need to look up the other decimal?", "session_id": 4175, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "So would 0.025 be the first number that we read the probability of?", "session_id": 4175, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "that would give us the left z-score", "session_id": 4175, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "do we need to look up anything else?", "session_id": 4175, "sequence_id": 49, "annotations": []}
{"role": "student", "content": "Why do we need to find that in the context of the problem?", "session_id": 4175, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "we are asked for these z-scores", "session_id": 4175, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "Okay", "session_id": 4175, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "do we need to look for the right boundary?", "session_id": 4175, "sequence_id": 53, "annotations": []}
{"role": "student", "content": "So for the right z-score score, this would be whatever's left from 2.5?", "session_id": 4175, "sequence_id": 54, "annotations": []}
{"role": "student", "content": "And yes", "session_id": 4175, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "we could", "session_id": 4175, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "could we use the z-score you just found?", "session_id": 4175, "sequence_id": 57, "annotations": []}
{"role": "student", "content": "no?", "session_id": 4175, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "isn't the normal curve symmetrical?", "session_id": 4175, "sequence_id": 59, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 4175, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "aren't the tails the same area?", "session_id": 4175, "sequence_id": 61, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 4175, "sequence_id": 62, "annotations": []}
{"role": "student", "content": "Is this unrelated to the range?", "session_id": 4175, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "don't we need the positive z-score?", "session_id": 4175, "sequence_id": 64, "annotations": []}
{"role": "student", "content": "Yeah, but if the z-score scores are the same, how would there be a range?", "session_id": 4175, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "would the right z-score be negative?", "session_id": 4175, "sequence_id": 66, "annotations": []}
{"role": "student", "content": "yes", "session_id": 4175, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "is that negative to the right?", "session_id": 4175, "sequence_id": 68, "annotations": []}
{"role": "student", "content": "wouldn't it be to my left of the bell curve?", "session_id": 4175, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "can you mark what you mean?", "session_id": 4175, "sequence_id": 70, "annotations": []}
{"role": "student", "content": "where the circle is", "session_id": 4175, "sequence_id": 71, "annotations": []}
{"role": "student", "content": "Honestly, I'm a little bit confused.", "session_id": 4175, "sequence_id": 72, "annotations": []}
{"role": "student", "content": "with the", "session_id": 4175, "sequence_id": 73, "annotations": []}
{"role": "student", "content": "with the um negative B", "session_id": 4175, "sequence_id": 74, "annotations": []}
{"role": "student", "content": "on the left side and the positive on the right side.", "session_id": 4175, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "can you give me the z-score at the red mark?", "session_id": 4175, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "in fact do we need the right z-score?", "session_id": 4175, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "can we find the lower boundary of our range?", "session_id": 4175, "sequence_id": 78, "annotations": []}
{"role": "student", "content": "Explain?", "session_id": 4175, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "can we use that hand-written z-score formula?", "session_id": 4175, "sequence_id": 80, "annotations": []}
{"role": "student", "content": "yea, but don't we need he z scores first?", "session_id": 4175, "sequence_id": 81, "annotations": []}
{"role": "volunteer", "content": "we have the z-score", "session_id": 4175, "sequence_id": 82, "annotations": []}
{"role": "volunteer", "content": "we can use that to get the lower boundary", "session_id": 4175, "sequence_id": 83, "annotations": []}
{"role": "student", "content": "okay", "session_id": 4175, "sequence_id": 84, "annotations": []}
{"role": "student", "content": "so find the lowest 5 first and then the highest 5?", "session_id": 4175, "sequence_id": 85, "annotations": []}
{"role": "volunteer", "content": "don't we need that range at the bottom?", "session_id": 4175, "sequence_id": 86, "annotations": []}
{"role": "student", "content": "yes", "session_id": 4175, "sequence_id": 87, "annotations": []}
{"role": "volunteer", "content": "can we ignore the figuring on the screen and do it ourselves?", "session_id": 4175, "sequence_id": 88, "annotations": []}
{"role": "student", "content": "Alex?", "session_id": 4175, "sequence_id": 89, "annotations": [{"pii_type": "PERSON", "surrogate": "Alex", "start": 0, "end": 4}]}
{"role": "volunteer", "content": "using the z-score", "session_id": 4175, "sequence_id": 90, "annotations": []}
{"role": "volunteer", "content": "may I erase my drawing?", "session_id": 4175, "sequence_id": 91, "annotations": []}
{"role": "student", "content": "yea", "session_id": 4175, "sequence_id": 92, "annotations": []}
{"role": "student", "content": "and yea we can plot the numbers from the problem in , make it equal z-score and simplify to find the sample mean correct?", "session_id": 4175, "sequence_id": 93, "annotations": []}
{"role": "volunteer", "content": "the mean is given up top as 40", "session_id": 4175, "sequence_id": 94, "annotations": []}
{"role": "student", "content": "ah I see", "session_id": 4175, "sequence_id": 95, "annotations": []}
{"role": "student", "content": "I will try o solve this on paper, because my laptop freezes when I use the whitebaord", "session_id": 4175, "sequence_id": 96, "annotations": []}
{"role": "volunteer", "content": "can you solve for the big M?", "session_id": 4175, "sequence_id": 97, "annotations": []}
{"role": "student", "content": "whiteboard*", "session_id": 4175, "sequence_id": 98, "annotations": []}
{"role": "student", "content": "Yes give me a seconf", "session_id": 4175, "sequence_id": 99, "annotations": []}
{"role": "student", "content": "M = 45.88", "session_id": 4175, "sequence_id": 100, "annotations": []}
{"role": "volunteer", "content": "what is your denominator?", "session_id": 4175, "sequence_id": 101, "annotations": []}
{"role": "student", "content": "I see what you were saying now, the z-score on the right tail would just be 1.96", "session_id": 4175, "sequence_id": 102, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 4175, "sequence_id": 103, "annotations": []}
{"role": "student", "content": "and that was my final answer", "session_id": 4175, "sequence_id": 104, "annotations": []}
{"role": "student", "content": "45.88", "session_id": 4175, "sequence_id": 105, "annotations": []}
{"role": "volunteer", "content": "that is the right boundary", "session_id": 4175, "sequence_id": 106, "annotations": []}
{"role": "volunteer", "content": "how about the lower?", "session_id": 4175, "sequence_id": 107, "annotations": []}
{"role": "student", "content": "So now I would use Alex, correct?", "session_id": 4175, "sequence_id": 108, "annotations": [{"pii_type": "PERSON", "surrogate": "Alex", "start": 19, "end": 23}]}
{"role": "volunteer", "content": "perfect", "session_id": 4175, "sequence_id": 109, "annotations": []}
{"role": "student", "content": "Okay I will do so now", "session_id": 4175, "sequence_id": 110, "annotations": []}
{"role": "volunteer", "content": "is that the only way?", "session_id": 4175, "sequence_id": 111, "annotations": []}
{"role": "student", "content": "idk what you mean", "session_id": 4175, "sequence_id": 112, "annotations": []}
{"role": "volunteer", "content": "45.88-40=?", "session_id": 4175, "sequence_id": 113, "annotations": []}
{"role": "student", "content": "Wouldn't it be 40 - 5.88?", "session_id": 4175, "sequence_id": 114, "annotations": []}
{"role": "volunteer", "content": "perfect", "session_id": 4175, "sequence_id": 115, "annotations": []}
{"role": "volunteer", "content": "that is what I mean", "session_id": 4175, "sequence_id": 116, "annotations": []}
{"role": "student", "content": "ohhh okay", "session_id": 4175, "sequence_id": 117, "annotations": []}
{"role": "volunteer", "content": "the symmetry is our friend", "session_id": 4175, "sequence_id": 118, "annotations": []}
{"role": "student", "content": "Ohhhh I see now, so rather than like redoing it from the beginning, I can just do 40 +5.88 and 40 - 5.88 to find the higher and lower boundary", "session_id": 4175, "sequence_id": 119, "annotations": []}
{"role": "volunteer", "content": "right", "session_id": 4175, "sequence_id": 120, "annotations": []}
{"role": "student", "content": "and the z-score for the higher boundary can be found if we know he lower one, because like you said, it's symmetrical", "session_id": 4175, "sequence_id": 121, "annotations": []}
{"role": "volunteer", "content": "it is the same deviation but in two directions", "session_id": 4175, "sequence_id": 122, "annotations": []}
{"role": "student", "content": "Ah that makes sense", "session_id": 4175, "sequence_id": 123, "annotations": []}
{"role": "volunteer", "content": "if we know one we get the other for free", "session_id": 4175, "sequence_id": 124, "annotations": []}
{"role": "student", "content": "So our range is 34.12 to 45.88?", "session_id": 4175, "sequence_id": 125, "annotations": []}
{"role": "volunteer", "content": "all because of the word \"middle\" or    \"central\"", "session_id": 4175, "sequence_id": 126, "annotations": []}
{"role": "volunteer", "content": "yes good job", "session_id": 4175, "sequence_id": 127, "annotations": []}
{"role": "student", "content": "Yea I see it now, I have some other problems I would like to practice with. I just want to take a few notes first", "session_id": 4175, "sequence_id": 128, "annotations": []}
{"role": "volunteer", "content": "sure", "session_id": 4175, "sequence_id": 129, "annotations": []}
{"role": "student", "content": "Alright I will put up the next problem", "session_id": 4175, "sequence_id": 130, "annotations": []}
{"role": "student", "content": "Once again, ignore the work shown. It's not mine, so I would still like to go over it", "session_id": 4175, "sequence_id": 131, "annotations": []}
{"role": "volunteer", "content": "for any normal problem I have to make a sketch and label things", "session_id": 4175, "sequence_id": 132, "annotations": []}
{"role": "student", "content": "Np", "session_id": 4175, "sequence_id": 133, "annotations": []}
{"role": "volunteer", "content": "are you required to use this z-score approach?", "session_id": 4175, "sequence_id": 134, "annotations": []}
{"role": "student", "content": "Um yea, its been the focus for this unit", "session_id": 4175, "sequence_id": 135, "annotations": []}
{"role": "volunteer", "content": "okay", "session_id": 4175, "sequence_id": 136, "annotations": []}
{"role": "volunteer", "content": "does the picture help at all?", "session_id": 4175, "sequence_id": 137, "annotations": []}
{"role": "student", "content": "If you explained it I think it would help more", "session_id": 4175, "sequence_id": 138, "annotations": []}
{"role": "volunteer", "content": "can we find the z-score for this problem?", "session_id": 4175, "sequence_id": 139, "annotations": []}
{"role": "student", "content": "yes", "session_id": 4175, "sequence_id": 140, "annotations": []}
{"role": "volunteer", "content": "that z-score looks correct?", "session_id": 4175, "sequence_id": 141, "annotations": []}
{"role": "student", "content": "My only concern is that if we have to find the probability of 16-pound bags that average more than m=14, can we still use m =14?", "session_id": 4175, "sequence_id": 142, "annotations": []}
{"role": "student", "content": "I will chck it now", "session_id": 4175, "sequence_id": 143, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 4175, "sequence_id": 144, "annotations": []}
{"role": "student", "content": "No, because this shows the probability of randomly picking a sample of 16-pound bags that averages the same as an M=14 shrimp per bag", "session_id": 4175, "sequence_id": 145, "annotations": []}
{"role": "volunteer", "content": "we want more that 14", "session_id": 4175, "sequence_id": 146, "annotations": []}
{"role": "volunteer", "content": "mine is stumbling too", "session_id": 4175, "sequence_id": 147, "annotations": []}
{"role": "student", "content": "hhh", "session_id": 4175, "sequence_id": 148, "annotations": []}
{"role": "student", "content": "Hello", "session_id": 4175, "sequence_id": 149, "annotations": []}
{"role": "student", "content": "Yeah, sorry, my chat is like not working.", "session_id": 4175, "sequence_id": 150, "annotations": []}
{"role": "student", "content": "at all. It took like 5 minutes for me to be able to like type or message anything.", "session_id": 4175, "sequence_id": 151, "annotations": []}
{"role": "volunteer", "content": "it is working fine for me", "session_id": 4175, "sequence_id": 152, "annotations": []}
{"role": "volunteer", "content": "some hiccups", "session_id": 4175, "sequence_id": 153, "annotations": []}
{"role": "student", "content": "Yea my laptop is a little hot that may be why. This is the first time I am understanding this unit though, so I would like to continue", "session_id": 4175, "sequence_id": 154, "annotations": []}
{"role": "volunteer", "content": "please", "session_id": 4175, "sequence_id": 155, "annotations": []}
{"role": "student", "content": "Would we use an inequality symbol to answer this question?", "session_id": 4175, "sequence_id": 156, "annotations": []}
{"role": "volunteer", "content": "yes the word \"more\" demands it", "session_id": 4175, "sequence_id": 157, "annotations": []}
{"role": "volunteer", "content": "that is what the sketch does for me", "session_id": 4175, "sequence_id": 158, "annotations": []}
{"role": "student", "content": "Honestly even with the explanation the sketch does not help much, but based on the context of he problem would we just change M=14 to M=15 and find the probability through that?", "session_id": 4175, "sequence_id": 159, "annotations": []}
{"role": "volunteer", "content": "why 15?", "session_id": 4175, "sequence_id": 160, "annotations": []}
{"role": "volunteer", "content": "do you get that same z-score?", "session_id": 4175, "sequence_id": 161, "annotations": []}
{"role": "student", "content": "I am rereading it give me a second", "session_id": 4175, "sequence_id": 162, "annotations": []}
{"role": "student", "content": "Nvm that would not make sense, I was confusing what we were comparing", "session_id": 4175, "sequence_id": 163, "annotations": []}
{"role": "student", "content": "so for the final answer we would read the probability for 1.67 then use an inequality symbol?", "session_id": 4175, "sequence_id": 164, "annotations": []}
{"role": "volunteer", "content": "yes but we have to be careful with this one", "session_id": 4175, "sequence_id": 165, "annotations": []}
{"role": "volunteer", "content": "what area goes with this z-score?", "session_id": 4175, "sequence_id": 166, "annotations": []}
{"role": "student", "content": "Um wdym?", "session_id": 4175, "sequence_id": 167, "annotations": []}
{"role": "volunteer", "content": "do you have a z-table available?", "session_id": 4175, "sequence_id": 168, "annotations": []}
{"role": "student", "content": "yes", "session_id": 4175, "sequence_id": 169, "annotations": []}
{"role": "student", "content": "ohh", "session_id": 4175, "sequence_id": 170, "annotations": []}
{"role": "student", "content": "0.9525", "session_id": 4175, "sequence_id": 171, "annotations": []}
{"role": "volunteer", "content": "can you mark on the screen which direction that area covers?", "session_id": 4175, "sequence_id": 172, "annotations": []}
{"role": "student", "content": "okay", "session_id": 4175, "sequence_id": 173, "annotations": []}
{"role": "student", "content": "Is that correct?", "session_id": 4175, "sequence_id": 174, "annotations": []}
{"role": "volunteer", "content": "are you starting at our cutoff?", "session_id": 4175, "sequence_id": 175, "annotations": []}
{"role": "student", "content": "Would we start at 13.5 an then go to 14 for 1.67?", "session_id": 4175, "sequence_id": 176, "annotations": []}
{"role": "volunteer", "content": "no, we want from 14 to the right", "session_id": 4175, "sequence_id": 177, "annotations": []}
{"role": "volunteer", "content": "we used 13.5 to help determine the z-score", "session_id": 4175, "sequence_id": 178, "annotations": []}
{"role": "student", "content": "ah okay", "session_id": 4175, "sequence_id": 179, "annotations": []}
{"role": "student", "content": "I am a little bit confused on what makes the answer deeper than anything greate than 0.9525", "session_id": 4175, "sequence_id": 180, "annotations": []}
{"role": "student", "content": "greater*", "session_id": 4175, "sequence_id": 181, "annotations": []}
{"role": "volunteer", "content": "the 0.9525 covers from the left", "session_id": 4175, "sequence_id": 182, "annotations": []}
{"role": "volunteer", "content": "but we want to the right", "session_id": 4175, "sequence_id": 183, "annotations": []}
{"role": "student", "content": "okay so would we find the z-score score for Alex instead?", "session_id": 4175, "sequence_id": 184, "annotations": [{"pii_type": "PERSON", "surrogate": "Alex", "start": 44, "end": 48}]}
{"role": "student", "content": "i mean probability", "session_id": 4175, "sequence_id": 185, "annotations": []}
{"role": "volunteer", "content": "yes great job", "session_id": 4175, "sequence_id": 186, "annotations": []}
{"role": "student", "content": "Ohhhhh", "session_id": 4175, "sequence_id": 187, "annotations": []}
{"role": "volunteer", "content": "our symmetry again", "session_id": 4175, "sequence_id": 188, "annotations": []}
{"role": "volunteer", "content": "well done", "session_id": 4175, "sequence_id": 189, "annotations": []}
{"role": "student", "content": "Alright, I will do that right now", "session_id": 4175, "sequence_id": 190, "annotations": []}
{"role": "student", "content": "0.0475", "session_id": 4175, "sequence_id": 191, "annotations": []}
{"role": "volunteer", "content": "well done", "session_id": 4175, "sequence_id": 192, "annotations": []}
{"role": "student", "content": "so thats the answer?", "session_id": 4175, "sequence_id": 193, "annotations": []}
{"role": "volunteer", "content": "by the way", "session_id": 4175, "sequence_id": 194, "annotations": []}
{"role": "volunteer", "content": "1-.9525=", "session_id": 4175, "sequence_id": 195, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 4175, "sequence_id": 196, "annotations": []}
{"role": "student", "content": "also equals that", "session_id": 4175, "sequence_id": 197, "annotations": []}
{"role": "volunteer", "content": "as it must", "session_id": 4175, "sequence_id": 198, "annotations": []}
{"role": "student", "content": "huh, I am starting to sort of notice the patterns, but I would need more practice", "session_id": 4175, "sequence_id": 199, "annotations": []}
{"role": "student", "content": "I would like to move on to the next one", "session_id": 4175, "sequence_id": 200, "annotations": []}
{"role": "volunteer", "content": "please", "session_id": 4175, "sequence_id": 201, "annotations": []}
{"role": "student", "content": "I need to take some notes first", "session_id": 4175, "sequence_id": 202, "annotations": []}
{"role": "student", "content": "sorry", "session_id": 4175, "sequence_id": 203, "annotations": []}
{"role": "volunteer", "content": "sure", "session_id": 4175, "sequence_id": 204, "annotations": []}
{"role": "student", "content": "I have a question: Does the placement of 14 on the right side of the bell curve matter?", "session_id": 4175, "sequence_id": 205, "annotations": []}
{"role": "volunteer", "content": "yes because it is greater that the mean", "session_id": 4175, "sequence_id": 206, "annotations": []}
{"role": "student", "content": "in the relation to like the eneral numbers at the boom of the bell curve like 1,2 and 3", "session_id": 4175, "sequence_id": 207, "annotations": []}
{"role": "volunteer", "content": "I am helpless with these problems with the visual", "session_id": 4175, "sequence_id": 208, "annotations": []}
{"role": "volunteer", "content": "without the visual", "session_id": 4175, "sequence_id": 209, "annotations": []}
{"role": "student", "content": "It does seem helpful, but I just don't really know how to use it", "session_id": 4175, "sequence_id": 210, "annotations": []}
{"role": "student", "content": "But the question I am asking, do you get what I mean?", "session_id": 4175, "sequence_id": 211, "annotations": []}
{"role": "volunteer", "content": "I make the curve with the mean down the middle", "session_id": 4175, "sequence_id": 212, "annotations": []}
{"role": "student", "content": "I feel like my questions's a little bit confusing. Um, what I'm asking is that like I understand why you put 13.5 in the middle, cause that's the average.", "session_id": 4175, "sequence_id": 213, "annotations": []}
{"role": "student", "content": "Um, you know how at the bottom of the bell curve, there's z-scores or like 0-1, 2, -3", "session_id": 4175, "sequence_id": 214, "annotations": []}
{"role": "student", "content": "Does it like", "session_id": 4175, "sequence_id": 215, "annotations": []}
{"role": "student", "content": "matter where we put 14 in relation to that, or is the line that you drew, is that just like a an estimate is that not something you really have to think about.", "session_id": 4175, "sequence_id": 216, "annotations": []}
{"role": "volunteer", "content": "those look like z-score numbers", "session_id": 4175, "sequence_id": 217, "annotations": []}
{"role": "student", "content": "I undesadn 13. and 14 are not", "session_id": 4175, "sequence_id": 218, "annotations": []}
{"role": "volunteer", "content": "let me draw an an example on the board", "session_id": 4175, "sequence_id": 219, "annotations": []}
{"role": "student", "content": "like if this was dawn nomally they would e a he op", "session_id": 4175, "sequence_id": 220, "annotations": []}
{"role": "student", "content": "top*", "session_id": 4175, "sequence_id": 221, "annotations": []}
{"role": "student", "content": "OK, like what I'm asking", "session_id": 4175, "sequence_id": 222, "annotations": []}
{"role": "student", "content": "is that like I understand 13.5 and 14, like if this was drawn, I guess like normally they would be at the top, but I guess I wanna see what it looks like with the Z score numbers to, like for myself.", "session_id": 4175, "sequence_id": 223, "annotations": []}
{"role": "volunteer", "content": "let me clean the board, i know what you mean", "session_id": 4175, "sequence_id": 224, "annotations": []}
{"role": "student", "content": "Okay ty", "session_id": 4175, "sequence_id": 225, "annotations": []}
{"role": "student", "content": "using the object eraser is easier", "session_id": 4175, "sequence_id": 226, "annotations": []}
{"role": "volunteer", "content": "can you remove your image and we can start on a clean board?", "session_id": 4175, "sequence_id": 227, "annotations": []}
{"role": "student", "content": "Yup", "session_id": 4175, "sequence_id": 228, "annotations": []}
{"role": "volunteer", "content": "mean=13.5, sd=.3", "session_id": 4175, "sequence_id": 229, "annotations": []}
{"role": "student", "content": "the SD was 1.2, or are you jus showing an example?", "session_id": 4175, "sequence_id": 230, "annotations": []}
{"role": "volunteer", "content": "with the sample it became .3", "session_id": 4175, "sequence_id": 231, "annotations": []}
{"role": "student", "content": "Explain that pls", "session_id": 4175, "sequence_id": 232, "annotations": []}
{"role": "volunteer", "content": "with a sample we divide the standard deviation by the square root of the sample size", "session_id": 4175, "sequence_id": 233, "annotations": []}
{"role": "student", "content": "and thats the mean for that sample? So we would ever us the given SD to write out a bell curve?", "session_id": 4175, "sequence_id": 234, "annotations": []}
{"role": "student", "content": "use*", "session_id": 4175, "sequence_id": 235, "annotations": []}
{"role": "volunteer", "content": "sure", "session_id": 4175, "sequence_id": 236, "annotations": []}
{"role": "volunteer", "content": "does this sketch make any sense?", "session_id": 4175, "sequence_id": 237, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 4175, "sequence_id": 238, "annotations": []}
{"role": "volunteer", "content": "brb", "session_id": 4175, "sequence_id": 239, "annotations": []}
{"role": "student", "content": "np", "session_id": 4175, "sequence_id": 240, "annotations": []}
{"role": "volunteer", "content": "hi", "session_id": 4175, "sequence_id": 241, "annotations": []}
{"role": "student", "content": "Yea,, im here just finishing up some notes", "session_id": 4175, "sequence_id": 242, "annotations": []}
{"role": "volunteer", "content": "perfect", "session_id": 4175, "sequence_id": 243, "annotations": []}
{"role": "volunteer", "content": "or the way you did it before", "session_id": 4175, "sequence_id": 244, "annotations": []}
{"role": "volunteer", "content": "your marking indicates exactly what we need", "session_id": 4175, "sequence_id": 245, "annotations": []}
{"role": "student", "content": "Yea its starting to make more sense", "session_id": 4175, "sequence_id": 246, "annotations": []}
{"role": "student", "content": "I am ready to move on", "session_id": 4175, "sequence_id": 247, "annotations": []}
{"role": "volunteer", "content": "okay", "session_id": 4175, "sequence_id": 248, "annotations": []}
{"role": "student", "content": "Alright the question at the bottom", "session_id": 4175, "sequence_id": 249, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 4175, "sequence_id": 250, "annotations": []}
{"role": "student", "content": "Okay so I can find the z-score score, but o deemine whether this is represenative or extreme idk", "session_id": 4175, "sequence_id": 251, "annotations": []}
{"role": "volunteer", "content": "sorry I need the picture", "session_id": 4175, "sequence_id": 252, "annotations": []}
{"role": "student", "content": "np", "session_id": 4175, "sequence_id": 253, "annotations": []}
{"role": "volunteer", "content": "what is the shaded area ?", "session_id": 4175, "sequence_id": 254, "annotations": []}
{"role": "volunteer", "content": "how about the unshaded?", "session_id": 4175, "sequence_id": 255, "annotations": []}
{"role": "student", "content": "The shaded area is the probability of a sample mean of 57???", "session_id": 4175, "sequence_id": 256, "annotations": []}
{"role": "volunteer", "content": "and greater", "session_id": 4175, "sequence_id": 257, "annotations": []}
{"role": "student", "content": "okay that makes sense", "session_id": 4175, "sequence_id": 258, "annotations": []}
{"role": "student", "content": "Well the Z score I found was 2.5", "session_id": 4175, "sequence_id": 259, "annotations": []}
{"role": "student", "content": "And the second part idk", "session_id": 4175, "sequence_id": 260, "annotations": []}
{"role": "volunteer", "content": "can you find that area in the z-table?", "session_id": 4175, "sequence_id": 261, "annotations": []}
{"role": "student", "content": "ok", "session_id": 4175, "sequence_id": 262, "annotations": []}
{"role": "volunteer", "content": "you did before for the other problem", "session_id": 4175, "sequence_id": 263, "annotations": []}
{"role": "student", "content": "0.9938", "session_id": 4175, "sequence_id": 264, "annotations": []}
{"role": "volunteer", "content": "for which direction?", "session_id": 4175, "sequence_id": 265, "annotations": []}
{"role": "student", "content": "going to the right", "session_id": 4175, "sequence_id": 266, "annotations": []}
{"role": "volunteer", "content": "can you do what you did before with a greater than?", "session_id": 4175, "sequence_id": 267, "annotations": []}
{"role": "student", "content": "Yea I would do 1-0.9938 ?", "session_id": 4175, "sequence_id": 268, "annotations": []}
{"role": "volunteer", "content": "yes perfect", "session_id": 4175, "sequence_id": 269, "annotations": []}
{"role": "student", "content": "and this is to find the probability of a sample mean less than 57", "session_id": 4175, "sequence_id": 270, "annotations": []}
{"role": "student", "content": "?", "session_id": 4175, "sequence_id": 271, "annotations": []}
{"role": "volunteer", "content": "no greater", "session_id": 4175, "sequence_id": 272, "annotations": []}
{"role": "student", "content": "Ohhh okay I see", "session_id": 4175, "sequence_id": 273, "annotations": []}
{"role": "student", "content": "0.0062", "session_id": 4175, "sequence_id": 274, "annotations": []}
{"role": "volunteer", "content": "well done", "session_id": 4175, "sequence_id": 275, "annotations": []}
{"role": "student", "content": "Alex, I would like some more practice, bu I have to find some problems first. This will only take a few minutes. I will just get them from my textbook", "session_id": 4175, "sequence_id": 276, "annotations": [{"pii_type": "PERSON", "surrogate": "Alex", "start": 0, "end": 4}]}
{"role": "volunteer", "content": "okay", "session_id": 4175, "sequence_id": 277, "annotations": []}
{"role": "volunteer", "content": "good work", "session_id": 4175, "sequence_id": 278, "annotations": []}
{"role": "student", "content": "And question when we find the z-score for a sample mean, the area of that z-score will always represent the probability less than the sample mean?", "session_id": 4175, "sequence_id": 279, "annotations": []}
{"role": "volunteer", "content": "not the sample mean but whatever cutoff in the question", "session_id": 4175, "sequence_id": 280, "annotations": []}
{"role": "student", "content": "Okay", "session_id": 4175, "sequence_id": 281, "annotations": []}
{"role": "student", "content": "Oh wait how do we determine whether this is extreme or typical?", "session_id": 4175, "sequence_id": 282, "annotations": []}
{"role": "volunteer", "content": ".0062 means that with those parameters (mean and sd) we would have a sample mean greater than 57 about 6 times in a thousand", "session_id": 4175, "sequence_id": 283, "annotations": []}
{"role": "volunteer", "content": "this would be most extreme", "session_id": 4175, "sequence_id": 284, "annotations": []}
{"role": "student", "content": "Okay so ig describe an extreme value and a typical representative value with examples please", "session_id": 4175, "sequence_id": 285, "annotations": []}
{"role": "volunteer", "content": "what was our area for question 2 before?", "session_id": 4175, "sequence_id": 286, "annotations": []}
{"role": "student", "content": "0.0475", "session_id": 4175, "sequence_id": 287, "annotations": []}
{"role": "student", "content": "for 14 and greater", "session_id": 4175, "sequence_id": 288, "annotations": []}
{"role": "volunteer", "content": "in that situation", "session_id": 4175, "sequence_id": 289, "annotations": []}
{"role": "volunteer", "content": "still rather unlikely if that mean 13.5 were true, but not nearly as extreme as this last question", "session_id": 4175, "sequence_id": 290, "annotations": []}
{"role": "student", "content": "What is the most obvious defining factor for an extreme like sample size value", "session_id": 4175, "sequence_id": 291, "annotations": []}
{"role": "student", "content": "or ig most straight forward", "session_id": 4175, "sequence_id": 292, "annotations": []}
{"role": "volunteer", "content": "a threshold or .05 is the most common that I know of", "session_id": 4175, "sequence_id": 293, "annotations": []}
{"role": "student", "content": "so anything less than that is extreme?", "session_id": 4175, "sequence_id": 294, "annotations": []}
{"role": "volunteer", "content": "usually", "session_id": 4175, "sequence_id": 295, "annotations": []}
{"role": "student", "content": "and anything greater would be considered typical", "session_id": 4175, "sequence_id": 296, "annotations": []}
{"role": "volunteer", "content": "probably", "session_id": 4175, "sequence_id": 297, "annotations": []}
{"role": "volunteer", "content": "but I would always want to see this area number and decide for myself", "session_id": 4175, "sequence_id": 298, "annotations": []}
{"role": "student", "content": "mmm okay, we can go through some more similar questions. If thats okay?", "session_id": 4175, "sequence_id": 299, "annotations": []}
{"role": "volunteer", "content": "sure", "session_id": 4175, "sequence_id": 300, "annotations": []}
{"role": "student", "content": "Alright ty", "session_id": 4175, "sequence_id": 301, "annotations": []}
{"role": "volunteer", "content": "the expected value is just the mean or mu (that Greek letter)", "session_id": 4175, "sequence_id": 302, "annotations": []}
{"role": "student", "content": "ah okay, give me a second to put two more problems up, and we can go through them", "session_id": 4175, "sequence_id": 303, "annotations": []}
{"role": "volunteer", "content": "I see them", "session_id": 4175, "sequence_id": 304, "annotations": []}
{"role": "student", "content": "Alright I would like to start from the questions at the farthest left corner", "session_id": 4175, "sequence_id": 305, "annotations": []}
{"role": "volunteer", "content": "okay", "session_id": 4175, "sequence_id": 306, "annotations": []}
{"role": "student", "content": "with the 30 average and SD of 8", "session_id": 4175, "sequence_id": 307, "annotations": []}
{"role": "student", "content": "I would like to try it by myself", "session_id": 4175, "sequence_id": 308, "annotations": []}
{"role": "student", "content": "and I will share my answer", "session_id": 4175, "sequence_id": 309, "annotations": []}
{"role": "volunteer", "content": "please", "session_id": 4175, "sequence_id": 310, "annotations": []}
{"role": "student", "content": "Alright I will lyk when I am done", "session_id": 4175, "sequence_id": 311, "annotations": []}
{"role": "student", "content": "Okay, so I did the rest of the work on my laptop. I wanted to check to see if my bell curve was correct, but my final answer is 0.3085", "session_id": 4175, "sequence_id": 312, "annotations": []}
{"role": "student", "content": "on paper I meant", "session_id": 4175, "sequence_id": 313, "annotations": []}
{"role": "volunteer", "content": "for part a?", "session_id": 4175, "sequence_id": 314, "annotations": []}
{"role": "student", "content": "yes", "session_id": 4175, "sequence_id": 315, "annotations": []}
{"role": "volunteer", "content": "good", "session_id": 4175, "sequence_id": 316, "annotations": []}
{"role": "student", "content": "Alex for questions b-d idk how to do", "session_id": 4175, "sequence_id": 317, "annotations": [{"pii_type": "PERSON", "surrogate": "Alex", "start": 0, "end": 4}]}
{"role": "student", "content": "c is fine for me", "session_id": 4175, "sequence_id": 318, "annotations": []}
{"role": "student", "content": "but the positively skewed questions idk, we can go in order tho, so B next", "session_id": 4175, "sequence_id": 319, "annotations": []}
{"role": "volunteer", "content": "d is the same as c with the large enough sample size", "session_id": 4175, "sequence_id": 320, "annotations": []}
{"role": "volunteer", "content": "I am stumped with b as well", "session_id": 4175, "sequence_id": 321, "annotations": []}
{"role": "student", "content": "Hm I don't think it will be on the test, so we can honestly do c and move on to the others", "session_id": 4175, "sequence_id": 322, "annotations": []}
{"role": "volunteer", "content": "the skewness and small sample size are problems", "session_id": 4175, "sequence_id": 323, "annotations": []}
{"role": "student", "content": "idk how that would look or be represented honestly", "session_id": 4175, "sequence_id": 324, "annotations": []}
{"role": "volunteer", "content": "me neither", "session_id": 4175, "sequence_id": 325, "annotations": []}
{"role": "student", "content": "That's fine, we can move on", "session_id": 4175, "sequence_id": 326, "annotations": []}
{"role": "student", "content": "I would like to do C to get more practice with questions like it", "session_id": 4175, "sequence_id": 327, "annotations": []}
{"role": "student", "content": "I will solve it on my own and stype my answer in the chat", "session_id": 4175, "sequence_id": 328, "annotations": []}
{"role": "volunteer", "content": "okay", "session_id": 4175, "sequence_id": 329, "annotations": []}
{"role": "student", "content": "0.0228", "session_id": 4175, "sequence_id": 330, "annotations": []}
{"role": "student", "content": "is my final answer", "session_id": 4175, "sequence_id": 331, "annotations": []}
{"role": "volunteer", "content": "good", "session_id": 4175, "sequence_id": 332, "annotations": []}
{"role": "student", "content": "Alright lets try question 2", "session_id": 4175, "sequence_id": 333, "annotations": []}
{"role": "volunteer", "content": "okay", "session_id": 4175, "sequence_id": 334, "annotations": []}
{"role": "student", "content": "I will try it on my own and I will share my answer", "session_id": 4175, "sequence_id": 335, "annotations": []}
{"role": "student", "content": "You said expected value is just the sample mean right?", "session_id": 4175, "sequence_id": 336, "annotations": []}
{"role": "volunteer", "content": "right", "session_id": 4175, "sequence_id": 337, "annotations": []}
{"role": "student", "content": "Okay", "session_id": 4175, "sequence_id": 338, "annotations": []}
{"role": "volunteer", "content": "just the mean they give us", "session_id": 4175, "sequence_id": 339, "annotations": []}
{"role": "student", "content": "Oh? So the only think we have to calculate is the standard error?", "session_id": 4175, "sequence_id": 340, "annotations": []}
{"role": "student", "content": "so the expected value is 40, and the standard error is 4", "session_id": 4175, "sequence_id": 341, "annotations": []}
{"role": "student", "content": "for a", "session_id": 4175, "sequence_id": 342, "annotations": []}
{"role": "volunteer", "content": "good", "session_id": 4175, "sequence_id": 343, "annotations": []}
{"role": "student", "content": "Alright the rest of thse I am confident about, so is it okay if we move onto chapte 8 questions?", "session_id": 4175, "sequence_id": 344, "annotations": []}
{"role": "volunteer", "content": "okay", "session_id": 4175, "sequence_id": 345, "annotations": []}
{"role": "student", "content": "Alright give me a second to pull those up", "session_id": 4175, "sequence_id": 346, "annotations": []}
{"role": "student", "content": "Alright here are the questions", "session_id": 4175, "sequence_id": 347, "annotations": []}
{"role": "volunteer", "content": "okay", "session_id": 4175, "sequence_id": 348, "annotations": []}
{"role": "student", "content": "Hey, is everything okay?", "session_id": 4175, "sequence_id": 349, "annotations": []}
{"role": "volunteer", "content": "yes i am here", "session_id": 4175, "sequence_id": 350, "annotations": []}
{"role": "student", "content": "ah okay, whiever one you want to start with, because I honestly neeed hlp with everything", "session_id": 4175, "sequence_id": 351, "annotations": []}
{"role": "volunteer", "content": "i use my ti-84 for hypothesis testing", "session_id": 4175, "sequence_id": 352, "annotations": []}
{"role": "volunteer", "content": "do you something like that?", "session_id": 4175, "sequence_id": 353, "annotations": []}
{"role": "student", "content": "yes", "session_id": 4175, "sequence_id": 354, "annotations": []}
{"role": "student", "content": "wait is that a graphing calculator?", "session_id": 4175, "sequence_id": 355, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 4175, "sequence_id": 356, "annotations": []}
{"role": "student", "content": "then no", "session_id": 4175, "sequence_id": 357, "annotations": []}
{"role": "volunteer", "content": "it has hypothesis testing in it", "session_id": 4175, "sequence_id": 358, "annotations": []}
{"role": "volunteer", "content": "don't need graphing", "session_id": 4175, "sequence_id": 359, "annotations": []}
{"role": "student", "content": "hmm the calculators we use just do simple arithmetic", "session_id": 4175, "sequence_id": 360, "annotations": []}
{"role": "student", "content": "I have never done hypothesis testing on it, but theres not a lot of functions", "session_id": 4175, "sequence_id": 361, "annotations": []}
{"role": "volunteer", "content": "we can use the  z-score approach", "session_id": 4175, "sequence_id": 362, "annotations": []}
{"role": "student", "content": "ah okay for which one?", "session_id": 4175, "sequence_id": 363, "annotations": []}
{"role": "volunteer", "content": "7", "session_id": 4175, "sequence_id": 364, "annotations": []}
{"role": "student", "content": "okay", "session_id": 4175, "sequence_id": 365, "annotations": []}
{"role": "student", "content": "Okay for 7 I don' really know where to start", "session_id": 4175, "sequence_id": 366, "annotations": []}
{"role": "volunteer", "content": "can we the z-score formula?", "session_id": 4175, "sequence_id": 367, "annotations": []}
{"role": "student", "content": "yes", "session_id": 4175, "sequence_id": 368, "annotations": []}
{"role": "student", "content": "Sorry my computer froze, would we just have to use the Z?", "session_id": 4175, "sequence_id": 369, "annotations": []}
{"role": "volunteer", "content": "then look in the table", "session_id": 4175, "sequence_id": 370, "annotations": []}
{"role": "student", "content": "Ah okay, i'll try then", "session_id": 4175, "sequence_id": 371, "annotations": []}
{"role": "student", "content": "Z = 2.5", "session_id": 4175, "sequence_id": 372, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 4175, "sequence_id": 373, "annotations": []}
{"role": "volunteer", "content": "can you compare that with the 1.96?", "session_id": 4175, "sequence_id": 374, "annotations": []}
{"role": "student", "content": "I see the 1.96 but where did that come from and what does that sign = .05 mean", "session_id": 4175, "sequence_id": 375, "annotations": []}
{"role": "volunteer", "content": "the 1.96 comes from reading the z-score table backwards or inverse", "session_id": 4175, "sequence_id": 376, "annotations": []}
{"role": "volunteer", "content": "it is getting kind of late for me", "session_id": 4175, "sequence_id": 377, "annotations": []}
{"role": "volunteer", "content": "can we call it  a night?", "session_id": 4175, "sequence_id": 378, "annotations": []}
{"role": "student", "content": "That's fine, thank you for all the help", "session_id": 4175, "sequence_id": 379, "annotations": []}
{"role": "student", "content": "Have a good night", "session_id": 4175, "sequence_id": 380, "annotations": []}
{"role": "volunteer", "content": "good night", "session_id": 4175, "sequence_id": 381, "annotations": []}
{"role": "volunteer", "content": "Jackson High an hypothesis testing", "session_id": 4175, "sequence_id": 382, "annotations": [{"pii_type": "SCHOOL", "surrogate": "Jackson High", "start": 0, "end": 12}]}
{"role": "student", "content": "We are multiplying polynomials using the box method.", "session_id": 4228, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "hello", "session_id": 4228, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "yipes!,..ha!", "session_id": 4228, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "The equation is (b^2-5b+4)(2b^2+6b-7)", "session_id": 4228, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "ok, you know how to set up?", "session_id": 4228, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "No.", "session_id": 4228, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "ok,...lets see", "session_id": 4228, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "so both poly nomials have the same number of terms", "session_id": 4228, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "Let me take a picture to show how I think it is.", "session_id": 4228, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "the box should ...ok", "session_id": 4228, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "Like that?", "session_id": 4228, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "yes, same number of rows as columns cuz they have the same number of terms", "session_id": 4228, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "2b^4 first top box?", "session_id": 4228, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "how about if I set it up the first time and then we go thru it?", "session_id": 4228, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "ok so far,https://example.com agree??", "session_id": 4228, "sequence_id": 14, "annotations": [{"pii_type": "URL", "surrogate": "https://example.com", "start": 10, "end": 29}]}
{"role": "student", "content": "Yes", "session_id": 4228, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "so we start with the 2B^2 https://example.coms!!!", "session_id": 4228, "sequence_id": 16, "annotations": [{"pii_type": "URL", "surrogate": "https://example.com", "start": 26, "end": 45}]}
{"role": "volunteer", "content": "-10b^3", "session_id": 4228, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "2b^2 times -5b", "session_id": 4228, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "add exponenet when multiplying", "session_id": 4228, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "no,...2 +1 =3", "session_id": 4228, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "no wait.///add exponents when multiplyign!!!!!!!!!!!!", "session_id": 4228, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "good", "session_id": 4228, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "dont forget the b^2", "session_id": 4228, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "wait,https://example.comga times neg is a +", "session_id": 4228, "sequence_id": 24, "annotations": [{"pii_type": "URL", "surrogate": "https://example.com", "start": 5, "end": 24}]}
{"role": "volunteer", "content": "ok, before,https://example.com you see the corrections I made?", "session_id": 4228, "sequence_id": 25, "annotations": [{"pii_type": "URL", "surrogate": "https://example.com", "start": 11, "end": 30}]}
{"role": "volunteer", "content": "and why?", "session_id": 4228, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 4228, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "Now what?", "session_id": 4228, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "dont forget to add exponenets", "session_id": 4228, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "Right", "session_id": 4228, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "now combine like terms,https://example.comke the b squarwes together, etc", "session_id": 4228, "sequence_id": 31, "annotations": [{"pii_type": "URL", "surrogate": "https://example.com", "start": 23, "end": 42}]}
{"role": "volunteer", "content": "it might be easier to lay it all out first rather than doing in your head", "session_id": 4228, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "forgot one!", "session_id": 4228, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "so all the b cubes : -10b^3 +6b^3=", "session_id": 4228, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "then all the squared terms", "session_id": 4228, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "Ok Help me erase. But what is -4b^3", "session_id": 4228, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "6b^3-10b^3=-4b^3", "session_id": 4228, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "We don't have to solve", "session_id": 4228, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "oh, just set up??", "session_id": 4228, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "ok, well there ya go then", "session_id": 4228, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "just follow other problems the same way", "session_id": 4228, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "Yes just set up", "session_id": 4228, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "Thank you for your help", "session_id": 4228, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "ok, well good luck,https://example.comre!!", "session_id": 4228, "sequence_id": 44, "annotations": [{"pii_type": "URL", "surrogate": "https://example.com", "start": 19, "end": 38}]}
{"role": "student", "content": "Solving inequality and graphing, Compound inequality and graphing and a lot more", "session_id": 1212, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "Hello, what do you need help with today?", "session_id": 1212, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "I was just talking with you almost an hour ago", "session_id": 1212, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "Oh aren't you the one who said they needed to go to bed?", "session_id": 1212, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "yes my mom told me to go to bed but I couldn't so I just got back on here.", "session_id": 1212, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "Ok no worries, do you still need help on the same worksheet?", "session_id": 1212, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "yeus", "session_id": 1212, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "yes", "session_id": 1212, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "upload it please", "session_id": 1212, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "why you up at 10:20", "session_id": 1212, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "Its pretty normal for me", "session_id": 1212, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "how", "session_id": 1212, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "highschool life", "session_id": 1212, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "I usually go to bed around 1 and wake up at 6", "session_id": 1212, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "you are in highschool??????///", "session_id": 1212, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "I would assume most tutors here are", "session_id": 1212, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "WHAT", "session_id": 1212, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "thats crazy '", "session_id": 1212, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "I must be a dumb highschooler than", "session_id": 1212, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "What grade are you in?", "session_id": 1212, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "10th grade wbu", "session_id": 1212, "sequence_id": 20, "annotations": [{"pii_type": "GRADE_LEVEL", "surrogate": "10th grade", "start": 0, "end": 10}]}
{"role": "volunteer", "content": "I'm a 12th grade", "session_id": 1212, "sequence_id": 21, "annotations": [{"pii_type": "GRADE_LEVEL", "surrogate": "12th grade", "start": 6, "end": 16}]}
{"role": "student", "content": "dang", "session_id": 1212, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "Algebra 10th grade year is fairly normal, you're not dumb at all", "session_id": 1212, "sequence_id": 23, "annotations": [{"pii_type": "GRADE_LEVEL", "surrogate": "10th grade", "start": 8, "end": 18}]}
{"role": "student", "content": "I don't know how to do anything that that man says", "session_id": 1212, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "Haha no worries, sometimes math can get tricky", "session_id": 1212, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "okay", "session_id": 1212, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "But based off our last session you're doing great I wouldn't stress about it to much", "session_id": 1212, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "alright", "session_id": 1212, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "I don't know how to start number 2", "session_id": 1212, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "Ok if you remember from our last session, this is the format I changed the answer to", "session_id": 1212, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "To start this problem, start from the middle and apply that to both sides of the inequality", "session_id": 1212, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "I'm lost I'm sorry", "session_id": 1212, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "No worries, let me show you and I'll explain", "session_id": 1212, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "oka", "session_id": 1212, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "Now you see how I subtracted 6 and applied to to both sides", "session_id": 1212, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "would the next step be subracting 2", "session_id": 1212, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "No because we always work from the middle, and 2 and x have a multiplication relationship", "session_id": 1212, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "Now using this logic, what should the next step be?", "session_id": 1212, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "+18 ?", "session_id": 1212, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "Thats a good guess, but remember, we work from the middle", "session_id": 1212, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "We need to get the inequality so that there is only an x left in the middle", "session_id": 1212, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "What do you think the next step should be?", "session_id": 1212, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "minusing the 2x?", "session_id": 1212, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "No because if we minus the 2x 0 is left in the middle and that wouldn't be good", "session_id": 1212, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "We just want a x and there is a times 2", "session_id": 1212, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "So how do we get rid of the times 2", "session_id": 1212, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "ok I'm stupid", "session_id": 1212, "sequence_id": 47, "annotations": []}
{"role": "student", "content": "divide", "session_id": 1212, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "Yes good, can you write that", "session_id": 1212, "sequence_id": 49, "annotations": []}
{"role": "student", "content": "I'm slow bruh I cant do this", "session_id": 1212, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "No worries, you are on the right track, but look when I subtracted the 6, it was applied to both sides to keep the inequality equivalent", "session_id": 1212, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "You will need to do the same when dividing by 2", "session_id": 1212, "sequence_id": 52, "annotations": []}
{"role": "student", "content": "okay am I right?", "session_id": 1212, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "yes thats perfect", "session_id": 1212, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "thats perfect, now try graphing it", "session_id": 1212, "sequence_id": 55, "annotations": []}
{"role": "student", "content": "is that right", "session_id": 1212, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "Did you purposely leave a gap in the line?", "session_id": 1212, "sequence_id": 57, "annotations": []}
{"role": "student", "content": "no", "session_id": 1212, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "ok and the two ends are -9 and 1?", "session_id": 1212, "sequence_id": 59, "annotations": []}
{"role": "student", "content": "yes", "session_id": 1212, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "then you are good to go", "session_id": 1212, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "thats perfect", "session_id": 1212, "sequence_id": 62, "annotations": []}
{"role": "student", "content": "alright", "session_id": 1212, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "Now try problem 3 by yourself", "session_id": 1212, "sequence_id": 64, "annotations": []}
{"role": "student", "content": "is that right", "session_id": 1212, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "you're right side is correct but something happened on the left inequality", "session_id": 1212, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "It looks like you just dropped the 0 on accident", "session_id": 1212, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "where I wrote the red is where a 0 should have gone", "session_id": 1212, "sequence_id": 68, "annotations": []}
{"role": "student", "content": "is that right", "session_id": 1212, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "You're very close but remember when we divide or multiply both sides by a negative what has to happen?", "session_id": 1212, "sequence_id": 70, "annotations": []}
{"role": "student", "content": "now?", "session_id": 1212, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "yes perfect!", "session_id": 1212, "sequence_id": 72, "annotations": []}
{"role": "student", "content": "okay", "session_id": 1212, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "Also has your class learned about interrval notation?", "session_id": 1212, "sequence_id": 74, "annotations": []}
{"role": "volunteer", "content": "*interval", "session_id": 1212, "sequence_id": 75, "annotations": []}
{"role": "student", "content": "what's that", "session_id": 1212, "sequence_id": 76, "annotations": []}
{"role": "student", "content": "I don't think so but maybe", "session_id": 1212, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "Its just a different way of formatting  the answer that will be useful later", "session_id": 1212, "sequence_id": 78, "annotations": []}
{"role": "student", "content": "oh no not yet", "session_id": 1212, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "Ok then don't worry about it", "session_id": 1212, "sequence_id": 80, "annotations": []}
{"role": "volunteer", "content": "Also, if you remember your answer, try graphing #3", "session_id": 1212, "sequence_id": 81, "annotations": []}
{"role": "student", "content": "oh I'm so sorry I forgot it", "session_id": 1212, "sequence_id": 82, "annotations": []}
{"role": "volunteer", "content": "I'll write it down dont worry", "session_id": 1212, "sequence_id": 83, "annotations": []}
{"role": "student", "content": "imma do it on the graph above okay?", "session_id": 1212, "sequence_id": 84, "annotations": []}
{"role": "volunteer", "content": "Yes", "session_id": 1212, "sequence_id": 85, "annotations": []}
{"role": "student", "content": "is that right", "session_id": 1212, "sequence_id": 86, "annotations": []}
{"role": "volunteer", "content": "yes thats perfect, just make sure you include an arrow at the end of the number line", "session_id": 1212, "sequence_id": 87, "annotations": []}
{"role": "student", "content": "okay", "session_id": 1212, "sequence_id": 88, "annotations": []}
{"role": "volunteer", "content": "now try #4", "session_id": 1212, "sequence_id": 89, "annotations": []}
{"role": "student", "content": "I give up I don't have room and its hard to draw out numbers", "session_id": 1212, "sequence_id": 90, "annotations": []}
{"role": "volunteer", "content": "You shouldn't give up, your doing great and everything is correct so far", "session_id": 1212, "sequence_id": 91, "annotations": []}
{"role": "student", "content": "I don't know where to go from there", "session_id": 1212, "sequence_id": 92, "annotations": []}
{"role": "volunteer", "content": "Just keep simplifying until only x remains on one side of each inequality.", "session_id": 1212, "sequence_id": 93, "annotations": []}
{"role": "volunteer", "content": "Just like you did in the previous problem", "session_id": 1212, "sequence_id": 94, "annotations": []}
{"role": "student", "content": "now what", "session_id": 1212, "sequence_id": 95, "annotations": []}
{"role": "volunteer", "content": "You went off a little there 5x-2 doesn't equal 3x because they are not like terms", "session_id": 1212, "sequence_id": 96, "annotations": []}
{"role": "volunteer", "content": "You should've kept the 5x-2 so moving the -2 to the left is fine, but don't combine them, then you should've combined the like x terms.", "session_id": 1212, "sequence_id": 97, "annotations": []}
{"role": "student", "content": "huh", "session_id": 1212, "sequence_id": 98, "annotations": []}
{"role": "volunteer", "content": "let me show you", "session_id": 1212, "sequence_id": 99, "annotations": []}
{"role": "volunteer", "content": "like that", "session_id": 1212, "sequence_id": 100, "annotations": []}
{"role": "volunteer", "content": "Notice how I only combined like terms, the x's", "session_id": 1212, "sequence_id": 101, "annotations": []}
{"role": "student", "content": "oml I cant do this", "session_id": 1212, "sequence_id": 102, "annotations": []}
{"role": "volunteer", "content": "No worries, just keep practicing, try this on the other inequality left", "session_id": 1212, "sequence_id": 103, "annotations": []}
{"role": "student", "content": "alright", "session_id": 1212, "sequence_id": 104, "annotations": []}
{"role": "volunteer", "content": "Yes you did it good job, but be careful on the graph", "session_id": 1212, "sequence_id": 105, "annotations": []}
{"role": "volunteer", "content": "It is only the numbers between -2 and 5 not anything outside that", "session_id": 1212, "sequence_id": 106, "annotations": []}
{"role": "student", "content": "wdym", "session_id": 1212, "sequence_id": 107, "annotations": []}
{"role": "volunteer", "content": "Your arrows indicate the numberline including values outside -5 and -2. For it to be correct it should just be a line with no arrows from -2 to 5", "session_id": 1212, "sequence_id": 108, "annotations": []}
{"role": "student", "content": "ohh", "session_id": 1212, "sequence_id": 109, "annotations": []}
{"role": "volunteer", "content": "Also traditionally, the number line goes from left to right, so the negative or smaller number should be on the left and the positive larger number should be on the right", "session_id": 1212, "sequence_id": 110, "annotations": []}
{"role": "student", "content": "okay", "session_id": 1212, "sequence_id": 111, "annotations": []}
{"role": "student", "content": "I still don't understand how you are so smart", "session_id": 1212, "sequence_id": 112, "annotations": []}
{"role": "volunteer", "content": "Haha, not really, I just worked alot.", "session_id": 1212, "sequence_id": 113, "annotations": []}
{"role": "student", "content": "do u get paid for this", "session_id": 1212, "sequence_id": 114, "annotations": []}
{"role": "volunteer", "content": "Nah this is just volunteer.", "session_id": 1212, "sequence_id": 115, "annotations": []}
{"role": "student", "content": "oh dang", "session_id": 1212, "sequence_id": 116, "annotations": []}
{"role": "student", "content": "so do you just get notifications that people need help and you hop on?", "session_id": 1212, "sequence_id": 117, "annotations": []}
{"role": "volunteer", "content": "Yeah pretty much", "session_id": 1212, "sequence_id": 118, "annotations": []}
{"role": "volunteer", "content": "I kinda just stay on the tab and help anyone who needs it", "session_id": 1212, "sequence_id": 119, "annotations": []}
{"role": "student", "content": "I ain't smart enough to be a tutor for anyone else. I would fail them on accident", "session_id": 1212, "sequence_id": 120, "annotations": []}
{"role": "volunteer", "content": "Nah there are plenty of people that could use your help.", "session_id": 1212, "sequence_id": 121, "annotations": []}
{"role": "student", "content": "oh true", "session_id": 1212, "sequence_id": 122, "annotations": []}
{"role": "volunteer", "content": "You're a lot better than you give yourself credit for.", "session_id": 1212, "sequence_id": 123, "annotations": []}
{"role": "student", "content": "how", "session_id": 1212, "sequence_id": 124, "annotations": []}
{"role": "student", "content": "it takes me to long to figure out", "session_id": 1212, "sequence_id": 125, "annotations": []}
{"role": "student", "content": "and guess what", "session_id": 1212, "sequence_id": 126, "annotations": []}
{"role": "volunteer", "content": "Yes?", "session_id": 1212, "sequence_id": 127, "annotations": []}
{"role": "student", "content": "I have to take act in March and I only have one minute to solve math problems imma fail that", "session_id": 1212, "sequence_id": 128, "annotations": []}
{"role": "volunteer", "content": "You can always try again, 10th grade year is very early, and you should take it as more of a practice.", "session_id": 1212, "sequence_id": 129, "annotations": [{"pii_type": "GRADE_LEVEL", "surrogate": "10th grade", "start": 26, "end": 36}]}
{"role": "volunteer", "content": "I didn't take my SAT until november of my 12th grade year.", "session_id": 1212, "sequence_id": 130, "annotations": [{"pii_type": "GRADE_LEVEL", "surrogate": "12th grade", "start": 42, "end": 52}]}
{"role": "student", "content": "what's sat", "session_id": 1212, "sequence_id": 131, "annotations": []}
{"role": "student", "content": "what's the difference between act and sat", "session_id": 1212, "sequence_id": 132, "annotations": []}
{"role": "volunteer", "content": "It's just the alternative option to the act and sat. Some people prefer one or another.", "session_id": 1212, "sequence_id": 133, "annotations": []}
{"role": "student", "content": "oh", "session_id": 1212, "sequence_id": 134, "annotations": []}
{"role": "volunteer", "content": "They have slightly different topics, some people find the act easier and other prefer the sat", "session_id": 1212, "sequence_id": 135, "annotations": []}
{"role": "volunteer", "content": "I just took the sat because it's what was available in my location.", "session_id": 1212, "sequence_id": 136, "annotations": []}
{"role": "student", "content": "oh", "session_id": 1212, "sequence_id": 137, "annotations": []}
{"role": "student", "content": "that makes sense", "session_id": 1212, "sequence_id": 138, "annotations": []}
{"role": "volunteer", "content": "Yeah don't stress to much about he ACT, if your taking it your first time 10th grade year you're already very ahead.", "session_id": 1212, "sequence_id": 139, "annotations": [{"pii_type": "GRADE_LEVEL", "surrogate": "10th grade", "start": 74, "end": 84}]}
{"role": "student", "content": "there making us", "session_id": 1212, "sequence_id": 140, "annotations": []}
{"role": "volunteer", "content": "Thats unfortunate", "session_id": 1212, "sequence_id": 141, "annotations": []}
{"role": "volunteer", "content": "I do want to caution you that there are algebra 2, geometry, and precalculus topics on the ACT so don't be disappointed if the score doesn't turn out the way you want it to.", "session_id": 1212, "sequence_id": 142, "annotations": []}
{"role": "student", "content": "oml imma fail", "session_id": 1212, "sequence_id": 143, "annotations": []}
{"role": "volunteer", "content": "Truthfully, they aren't to complex of subjects, and can be learned very quickly if you put in the time and effort.", "session_id": 1212, "sequence_id": 144, "annotations": []}
{"role": "student", "content": "I feel like you are so much older and wiser than me but your only a 12th grade and I'm a 10th grade. I'm the oldest in my grade", "session_id": 1212, "sequence_id": 145, "annotations": [{"pii_type": "GRADE_LEVEL", "surrogate": "12th grade", "start": 68, "end": 78}, {"pii_type": "GRADE_LEVEL", "surrogate": "10th grade", "start": 89, "end": 99}]}
{"role": "student", "content": "yeah but I don't have alg 2 or pre-calc", "session_id": 1212, "sequence_id": 146, "annotations": []}
{"role": "volunteer", "content": "yea that is a slight disadvantage, but if you work hard they are learnable in this time frame.", "session_id": 1212, "sequence_id": 147, "annotations": []}
{"role": "volunteer", "content": "There are also many tutors on this website willing to help you, and you can probably even help others.", "session_id": 1212, "sequence_id": 148, "annotations": []}
{"role": "student", "content": "okay", "session_id": 1212, "sequence_id": 149, "annotations": []}
{"role": "volunteer", "content": "Honestly, just try not to be to difficult with yourself.", "session_id": 1212, "sequence_id": 150, "annotations": []}
{"role": "student", "content": "oaky", "session_id": 1212, "sequence_id": 151, "annotations": []}
{"role": "volunteer", "content": "Good luck! Have a good night!", "session_id": 1212, "sequence_id": 152, "annotations": []}
{"role": "student", "content": "thank u too but one more question", "session_id": 1212, "sequence_id": 153, "annotations": []}
{"role": "volunteer", "content": "Yes?", "session_id": 1212, "sequence_id": 154, "annotations": []}
{"role": "student", "content": "how do I become a tutor on here", "session_id": 1212, "sequence_id": 155, "annotations": []}
{"role": "volunteer", "content": "You can sign up on the Tutor Provider website.", "session_id": 1212, "sequence_id": 156, "annotations": []}
{"role": "student", "content": "I cant find it", "session_id": 1212, "sequence_id": 157, "annotations": []}
{"role": "volunteer", "content": "I have a referral link which might take you directly to the sign up page. Do you want that?", "session_id": 1212, "sequence_id": 158, "annotations": []}
{"role": "student", "content": "yes pls", "session_id": 1212, "sequence_id": 159, "annotations": []}
{"role": "volunteer", "content": "https://example.com/signup", "session_id": 1212, "sequence_id": 160, "annotations": [{"pii_type": "URL", "surrogate": "https://example.com/signup", "start": 0, "end": 26}]}
{"role": "student", "content": "thank u have a good night", "session_id": 1212, "sequence_id": 161, "annotations": []}
{"role": "volunteer", "content": "You to!", "session_id": 1212, "sequence_id": 162, "annotations": []}
{"role": "student", "content": "Hello, how are you? I am trying to solve this problem in my lunch break and I want to work on solving it.", "session_id": 1182, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "Hello! Do you need to find the coordinates of the new vertices?", "session_id": 1182, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "yes", "session_id": 1182, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "P Q R S", "session_id": 1182, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "those are the points", "session_id": 1182, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "Ok, I need a few minutes", "session_id": 1182, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "okay thanks", "session_id": 1182, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "For part A, you add 4 to every x-coordinate and 10 to every y-coordinate", "session_id": 1182, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "What would the new P, Q, R, and S be?", "session_id": 1182, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "so it will be P(3,7)", "session_id": 1182, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "Q(7,6)", "session_id": 1182, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "S(-3,4)", "session_id": 1182, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "and R(-2,8)", "session_id": 1182, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "P and Q are correct. Try again for R and S.", "session_id": 1182, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "R will be 8,2", "session_id": 1182, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "and S will be 4,3", "session_id": 1182, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "Correct", "session_id": 1182, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "For part b you change the coordinates (x, y) to (-y, x)", "session_id": 1182, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "the new points right?", "session_id": 1182, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "It's not clear. Do you do A and then B or are they separate?", "session_id": 1182, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "yes A and then B", "session_id": 1182, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "Ok then the new points", "session_id": 1182, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "okay, so it would be S(-3,4) and then P(-7,3) and then Q(-6,7) and then R(-2,8)", "session_id": 1182, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "Correct", "session_id": 1182, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "thanks! So would that be out final answoer. Like because my work is on paper, their is a space given for each letter to add the final answer after doing each step", "session_id": 1182, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "Yes", "session_id": 1182, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "ohh okay, wow that cleard up a lot. Thanks! Can we do one more", "session_id": 1182, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "Yes", "session_id": 1182, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "Pallolelorgam CDEF with vertices C(2,-1) , D(7,1) - E(6,-2) and F(1,-4)", "session_id": 1182, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "A ) Reflcection in the line y=x", "session_id": 1182, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "and then B) translated along the rule (x,y) {ARROW} (x-3,y-7)", "session_id": 1182, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "that's what I have for this quesiton", "session_id": 1182, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "For A you just switch the x- and y-coordinates", "session_id": 1182, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "okay so C(-2,1)", "session_id": 1182, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "No, you don't switch the signs, you switch the numbers themselves", "session_id": 1182, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "okay so it would be C(-1,2)", "session_id": 1182, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "Yes", "session_id": 1182, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "then D(1,7)", "session_id": 1182, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "E(-2,6)", "session_id": 1182, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "and F(-4,1)", "session_id": 1182, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "Yes", "session_id": 1182, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "For B subtract 3 from every x and 7 from every y", "session_id": 1182, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "I have to leave since my break is over. But I get it mostly now. I am so sorry.", "session_id": 1182, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "No problem. You can request another session at any time.", "session_id": 1182, "sequence_id": 43, "annotations": []}
{"role": "student", "content": "okay, thank you so very much.. have a good day", "session_id": 1182, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "You too!", "session_id": 1182, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "hi!", "session_id": 1256, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "hii", "session_id": 1256, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "what can i help you today", "session_id": 1256, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "I have a quiz tomorrow and the teacher gave us a review for the quiz and TBH I don't really know any of it so I just wanted to go over the review with it", "session_id": 1256, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "ohh okayy! can you upload the review sheet, so we can go over tgt", "session_id": 1256, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "I will upload the first part. there will be 5 parts", "session_id": 1256, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "okayy", "session_id": 1256, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "it's on the board", "session_id": 1256, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "okay i see it", "session_id": 1256, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "also we are able to use a cheat sheet on the quiz so I might want to write some things down during this", "session_id": 1256, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "yes yes. Sarah", "session_id": 1256, "sequence_id": 10, "annotations": [{"pii_type": "PERSON", "surrogate": "Sarah", "start": 9, "end": 14}]}
{"role": "volunteer", "content": "so we know SW and TU are the same and TV is perpendicular", "session_id": 1256, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "yes", "session_id": 1256, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "so we can know SWV and UWV are congruent tgriangles", "session_id": 1256, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "ok", "session_id": 1256, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "if they are congruent, means SV and UV are the same", "session_id": 1256, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "so we can set equation", "session_id": 1256, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "do you wanna try to solve it?", "session_id": 1256, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "sure", "session_id": 1256, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "x=2", "session_id": 1256, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "so 5", "session_id": 1256, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "yesss!", "session_id": 1256, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "how should I explain my reasoning", "session_id": 1256, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "so the reason is when you prove they are congruent", "session_id": 1256, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "you know how many ways you can prove two triangles are congruent", "session_id": 1256, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "ok", "session_id": 1256, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "there are 5, i wrote it on the board", "session_id": 1256, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "ok", "session_id": 1256, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "are you ready to go to 2", "session_id": 1256, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 1256, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "so still, same method", "session_id": 1256, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "you need to prove they are congruent", "session_id": 1256, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "is 6x equal to 3x+9?", "session_id": 1256, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "do you know which one you are gonna use?", "session_id": 1256, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 1256, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "but for reason, you need to show they are congruent", "session_id": 1256, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "so QP is 18?", "session_id": 1256, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 1256, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "3 is the same", "session_id": 1256, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "31?", "session_id": 1256, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "we need to find gjk", "session_id": 1256, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "is it 31?", "session_id": 1256, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "90-31", "session_id": 1256, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "31 is kgj", "session_id": 1256, "sequence_id": 43, "annotations": []}
{"role": "student", "content": "so 59?", "session_id": 1256, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 1256, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "ok. I will upload the 2nd part", "session_id": 1256, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 1256, "sequence_id": 47, "annotations": []}
{"role": "student", "content": "it's on the board", "session_id": 1256, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "okay i see", "session_id": 1256, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "the circumcenter is the midpoint of the hypotenuse", "session_id": 1256, "sequence_id": 50, "annotations": []}
{"role": "student", "content": "what's the hypotenuse", "session_id": 1256, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "the longest one", "session_id": 1256, "sequence_id": 52, "annotations": []}
{"role": "student", "content": "ok", "session_id": 1256, "sequence_id": 53, "annotations": []}
{"role": "student", "content": "one sec. I'm going to right that down on my cheat sheet", "session_id": 1256, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "so we draw the triangle, and we can see ac is hypotenuse", "session_id": 1256, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "yes yes okay", "session_id": 1256, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "the formula i wrote is midpoint formula", "session_id": 1256, "sequence_id": 57, "annotations": []}
{"role": "student", "content": "ok", "session_id": 1256, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "and we use A and C, so this two point coordinates are gonna plug into the formula", "session_id": 1256, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "do you wanna try by urself", "session_id": 1256, "sequence_id": 60, "annotations": []}
{"role": "student", "content": "sure", "session_id": 1256, "sequence_id": 61, "annotations": []}
{"role": "student", "content": "(-2, -1)", "session_id": 1256, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "yess", "session_id": 1256, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "next ine is the same method", "session_id": 1256, "sequence_id": 64, "annotations": []}
{"role": "student", "content": "ok. I will try", "session_id": 1256, "sequence_id": 65, "annotations": []}
{"role": "student", "content": "Is that how the shape should look?", "session_id": 1256, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "it should be like this", "session_id": 1256, "sequence_id": 67, "annotations": []}
{"role": "student", "content": "so would the hypotenuse be (3, 5) and (11, 5)?", "session_id": 1256, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 1256, "sequence_id": 69, "annotations": []}
{"role": "student", "content": "so the answer is (7, 5)?", "session_id": 1256, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 1256, "sequence_id": 71, "annotations": []}
{"role": "student", "content": "ok. I will upload the next part", "session_id": 1256, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 1256, "sequence_id": 73, "annotations": []}
{"role": "student", "content": "it's on the board", "session_id": 1256, "sequence_id": 74, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 1256, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "so here we can see AQR ASN are congruent triangles CNR CNS are congrunt triangles too", "session_id": 1256, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "so NR=11, QN=11 too", "session_id": 1256, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "so NR=QN", "session_id": 1256, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "then we can set up equation", "session_id": 1256, "sequence_id": 79, "annotations": []}
{"role": "student", "content": "what would the equation be", "session_id": 1256, "sequence_id": 80, "annotations": []}
{"role": "volunteer", "content": "2x+1=4x-9", "session_id": 1256, "sequence_id": 81, "annotations": []}
{"role": "volunteer", "content": "cuz NQ=NR", "session_id": 1256, "sequence_id": 82, "annotations": []}
{"role": "student", "content": "so NS=5?", "session_id": 1256, "sequence_id": 83, "annotations": []}
{"role": "volunteer", "content": "no x=5", "session_id": 1256, "sequence_id": 84, "annotations": []}
{"role": "volunteer", "content": "and then you plug in 5 to any of the equation", "session_id": 1256, "sequence_id": 85, "annotations": []}
{"role": "volunteer", "content": "for exmaple 2*5+1", "session_id": 1256, "sequence_id": 86, "annotations": []}
{"role": "volunteer", "content": "11", "session_id": 1256, "sequence_id": 87, "annotations": []}
{"role": "volunteer", "content": "NR is 11", "session_id": 1256, "sequence_id": 88, "annotations": []}
{"role": "student", "content": "ok", "session_id": 1256, "sequence_id": 89, "annotations": []}
{"role": "student", "content": "is NT equal to NU and NV on 7", "session_id": 1256, "sequence_id": 90, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 1256, "sequence_id": 91, "annotations": []}
{"role": "student", "content": "so NT=15?", "session_id": 1256, "sequence_id": 92, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 1256, "sequence_id": 93, "annotations": []}
{"role": "student", "content": "and then same thing on 8?", "session_id": 1256, "sequence_id": 94, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 1256, "sequence_id": 95, "annotations": []}
{"role": "student", "content": "sp NW=26?", "session_id": 1256, "sequence_id": 96, "annotations": []}
{"role": "volunteer", "content": "yes]", "session_id": 1256, "sequence_id": 97, "annotations": []}
{"role": "student", "content": "I will upload the next part", "session_id": 1256, "sequence_id": 98, "annotations": []}
{"role": "volunteer", "content": "oki", "session_id": 1256, "sequence_id": 99, "annotations": []}
{"role": "student", "content": "it's on the board", "session_id": 1256, "sequence_id": 100, "annotations": []}
{"role": "volunteer", "content": "what i wrote is formula", "session_id": 1256, "sequence_id": 101, "annotations": []}
{"role": "volunteer", "content": "you just need to plug in all the numbers", "session_id": 1256, "sequence_id": 102, "annotations": []}
{"role": "volunteer", "content": "for centroid", "session_id": 1256, "sequence_id": 103, "annotations": []}
{"role": "student", "content": "ok", "session_id": 1256, "sequence_id": 104, "annotations": []}
{"role": "student", "content": "I will add that to my cheat sheet", "session_id": 1256, "sequence_id": 105, "annotations": []}
{"role": "volunteer", "content": "oki", "session_id": 1256, "sequence_id": 106, "annotations": []}
{"role": "student", "content": "so 9 is (3, 2)?", "session_id": 1256, "sequence_id": 107, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 1256, "sequence_id": 108, "annotations": []}
{"role": "student", "content": "so 10 is (-4, 2)", "session_id": 1256, "sequence_id": 109, "annotations": []}
{"role": "volunteer", "content": "yess", "session_id": 1256, "sequence_id": 110, "annotations": []}
{"role": "volunteer", "content": "Acute triangle: Inside\n\nObtuse triangle: Outside\n\nRight triangle: On the vertex of the right angle", "session_id": 1256, "sequence_id": 111, "annotations": []}
{"role": "student", "content": "can you remind me how to know whether triangles are acute, obtuse, or right", "session_id": 1256, "sequence_id": 112, "annotations": []}
{"role": "volunteer", "content": "if angle >90 is obtuse <90 acute =90 right", "session_id": 1256, "sequence_id": 113, "annotations": []}
{"role": "student", "content": "I know that for angles but I was wondering for the whole triangle", "session_id": 1256, "sequence_id": 114, "annotations": []}
{"role": "volunteer", "content": "its the same, if all the angles in triangle is smaller than 90 is acute triangle", "session_id": 1256, "sequence_id": 115, "annotations": []}
{"role": "volunteer", "content": "if one of angle bigger than 90 is obtuse triangle", "session_id": 1256, "sequence_id": 116, "annotations": []}
{"role": "student", "content": "and then what about right", "session_id": 1256, "sequence_id": 117, "annotations": []}
{"role": "volunteer", "content": "one of angle equal to 90 is right triamgle", "session_id": 1256, "sequence_id": 118, "annotations": []}
{"role": "student", "content": "ok", "session_id": 1256, "sequence_id": 119, "annotations": []}
{"role": "student", "content": "I will write the orthocenter rule to my cheat sheet", "session_id": 1256, "sequence_id": 120, "annotations": []}
{"role": "volunteer", "content": "you have two more section?", "session_id": 1256, "sequence_id": 121, "annotations": []}
{"role": "volunteer", "content": "cuz i gotta go im sorry", "session_id": 1256, "sequence_id": 122, "annotations": []}
{"role": "volunteer", "content": "Hello, what do you need help with today?", "session_id": 1223, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "Hello, hello. How's it going? Um, do you possess a mic?", "session_id": 1223, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "I felt like it would just make the whole door and um", "session_id": 1223, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "experience just a little bit more easier, uh, if you have one just let me know.", "session_id": 1223, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "right now", "session_id": 1223, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "right now on the way till I get my hair done, and this mascara is supposed to hold up all day. So let's see if it survives our really busy", "session_id": 1223, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "I unfortunately do not. If you would prefer another tutor just end the session.", "session_id": 1223, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "Also, it's super lightweight, it leaves no comb, but still gives you that for mascara look like a lookout good it looks on her eyes.", "session_id": 1223, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "the way to my friends, so she did the washing style my hair for me.", "session_id": 1223, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "Of course, I had to do a lash check and there's still looking good after about an hour. Once I got to the salon, my friend", "session_id": 1223, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "Are you ok?", "session_id": 1223, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "decided to have me wash my own hair, which I felt was a bad idea because I did not want to get my lashes wet. I was scared", "session_id": 1223, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "I said, am I OK", "session_id": 1223, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "If you would prefer not to.", "session_id": 1223, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "Yeah, can you direct me to another tutor that can like help me with like, you know what I mean?", "session_id": 1223, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "Yeah, I, I need a to do a mic.", "session_id": 1223, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "but I don't know if you know in there or something.", "session_id": 1223, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "Yes sure I'll just end the session and you can request another tutor.", "session_id": 1223, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "hi", "session_id": 1284, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "Sam", "session_id": 1284, "sequence_id": 1, "annotations": [{"pii_type": "PERSON", "surrogate": "Sam", "start": 0, "end": 3}]}
{"role": "student", "content": "ok", "session_id": 1284, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "Hiiii", "session_id": 1284, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "hi", "session_id": 1284, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "How are you doing", "session_id": 1284, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "good how are you", "session_id": 1284, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "How may I be of help to you today", "session_id": 1284, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "I am feeling great", "session_id": 1284, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "so i just want to learn something new", "session_id": 1284, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "Ok , do you have anything in mind ?", "session_id": 1284, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "fractions", "session_id": 1284, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "adding fractions", "session_id": 1284, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "That is something I can help you with", "session_id": 1284, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "ok", "session_id": 1284, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "Addition or multiplication", "session_id": 1284, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "yes", "session_id": 1284, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "am i doing this right so far", "session_id": 1284, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "So hiii", "session_id": 1284, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "There is a simple way to do this", "session_id": 1284, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "And very effective at that", "session_id": 1284, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "is that right", "session_id": 1284, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "Yes it is , good job", "session_id": 1284, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "really", "session_id": 1284, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "oksay", "session_id": 1284, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "okay*", "session_id": 1284, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "Yes it is but their is a simple way to go about it", "session_id": 1284, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "ok can you show me", "session_id": 1284, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "Can I ask if you know your mutiples ?", "session_id": 1284, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "yes i do", "session_id": 1284, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "my mjutleplication", "session_id": 1284, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "Then why not break it down instead  then mutiply", "session_id": 1284, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "i'm sorry can i go to the restroom", "session_id": 1284, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "Ofc no rush", "session_id": 1284, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "thanks", "session_id": 1284, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "Hii", "session_id": 1284, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "It has been over 10 minutes , I am still hear", "session_id": 1284, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "Bye", "session_id": 1284, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "Hello, Liam! How can I help you today? :)", "session_id": 8037, "sequence_id": 0, "annotations": [{"pii_type": "PERSON", "surrogate": "Liam", "start": 7, "end": 11}]}
{"role": "student", "content": "I am attempting to learn Exponential Graphing. I don't quite understand where the pieces come from of go on my graph.", "session_id": 8037, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "Okay! I can help with that :)", "session_id": 8037, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "Do you have any problems you'd like to work on?", "session_id": 8037, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "Well I just got a 40% on my quiz and I am stressing out about it. So, honestly, anything to help would be wonderful. I don't have any in particular.", "session_id": 8037, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "Okay, I'll find some problems we can work on :)", "session_id": 8037, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "Thank you :)", "session_id": 8037, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "Graph this one", "session_id": 8037, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "Where can we start?", "session_id": 8037, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "Well I know that the 4 is also known as a and it tells us that it is above the horizontal asymptote? And 0 is the asymptote?", "session_id": 8037, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "And the 2 tells that it is growth and not decay.", "session_id": 8037, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "all these are perfect", "session_id": 8037, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "so the \"a\" is also the y-intercept", "session_id": 8037, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "which i think is what you were trying to say", "session_id": 8037, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "Sorry! When we labeled it in class today she made it be a and that made me more confused. That being the y-intercept makes more sense.", "session_id": 8037, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "well, I'm glad you get it now :)", "session_id": 8037, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "and I'm not sure what you meant by \"0 is the asymptote\"", "session_id": 8037, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "So, what I mean by that... The horizontal asymptote or the horizontal line that you are supposed to get close to or never touch. So, since there is nothing after the exponent part I thought that line would be 0", "session_id": 8037, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "ohhhh! Yes there is a horizontal asymptote at y = 0", "session_id": 8037, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "the only time that is not the case is if our \"a\" is negative", "session_id": 8037, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "So in this case if the 4 was negative?", "session_id": 8037, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "the the graph would be flipped across horizontally", "session_id": 8037, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "I'm sorry, i didn't mean to write \"across\"", "session_id": 8037, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "Making it be below?", "session_id": 8037, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "That's ok", "session_id": 8037, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 8037, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "Okay, this makes more sense.", "session_id": 8037, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "So, if there was a number after what is already there, would the asymptote change?", "session_id": 8037, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "the green is what our graph would look like if a was negative", "session_id": 8037, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "what do you mean?", "session_id": 8037, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "So, say the given thing is y+4(2)^x+6", "session_id": 8037, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "But the 6 isn't in the exponent", "session_id": 8037, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "(2,4)", "session_id": 8037, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "oh i see what you mean", "session_id": 8037, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "yes, then there would be a shift", "session_id": 8037, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "the graph would move up 6 units", "session_id": 8037, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "Okay.", "session_id": 8037, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "Sorry for all the questions!", "session_id": 8037, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "Don't apologize for asking questions! You're here to learn!", "session_id": 8037, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "Einstein once said, \"the one who asks a question is a fool for a moment, but the one who never asks any questions, is a fool for life.\"", "session_id": 8037, "sequence_id": 39, "annotations": [{"pii_type": "PERSON", "surrogate": "Einstein", "start": 0, "end": 8}]}
{"role": "volunteer", "content": "Always think about that when you feel embarrassed for asking questions :)", "session_id": 8037, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "That's true. I just know questions can be annoying.", "session_id": 8037, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "Thanks for the reassurance.", "session_id": 8037, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "My only goal here is that all your doubts are cleared!", "session_id": 8037, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "So keep asking questions!", "session_id": 8037, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "Okay. Then I have another one... So, how do you know if it is a growth or a decay? I see what is on the graph, but aren't there 4 different possible pictures? I can draw them if needed?", "session_id": 8037, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "so, to figure out if there's a growth or decay, look at the b-value. If it is greater than 1, there is growth. if it is between 0 and 1, there's a decay.", "session_id": 8037, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "And then the y value makes it above or below based on positive and negative.", "session_id": 8037, "sequence_id": 47, "annotations": []}
{"role": "student", "content": "I understand now.", "session_id": 8037, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "I think that what has been done was enough to make me understand. I am going to go retake that quiz now! I really appreciate the help", "session_id": 8037, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "Yep! That's it!", "session_id": 8037, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "And yes, you can get 4 possible graphs depending on where you put the negative (the a value or the exponent)", "session_id": 8037, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "I'm glad you understand it now!", "session_id": 8037, "sequence_id": 52, "annotations": []}
{"role": "student", "content": "Alright, thank you. You're awesome!", "session_id": 8037, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "Of course! Thank you!", "session_id": 8037, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "Also, are you sure you're cleared up vertical and horizontal shifts?", "session_id": 8037, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "on*", "session_id": 8037, "sequence_id": 56, "annotations": []}
{"role": "student", "content": "I believe so. For a vertical shift the horizontal asymptote has to move so that the graph isn't going as far up and down. For the horizontal ones.... I guess I didn't retain that info\ud83e\udd26", "session_id": 8037, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "Alright, let me explain it to you", "session_id": 8037, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "So vertical shifts happen when the graph moves up or down. Like when you mentioned your +6 example, the graph is moving up 6 units. This also means that the y-intercept is moving up 6 units, so don't forget that!", "session_id": 8037, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "If it was -6, then the graph would move down 6 units", "session_id": 8037, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "Clear on that?", "session_id": 8037, "sequence_id": 61, "annotations": []}
{"role": "student", "content": "Yes.", "session_id": 8037, "sequence_id": 62, "annotations": []}
{"role": "student", "content": "I wrote it down.", "session_id": 8037, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "Perfect!", "session_id": 8037, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "So if the function was 2.5(1/2)^x -3, what would be the y-intercept?", "session_id": 8037, "sequence_id": 65, "annotations": []}
{"role": "student", "content": "2.5", "session_id": 8037, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "nope", "session_id": 8037, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "there's a vertical shift", "session_id": 8037, "sequence_id": 68, "annotations": []}
{"role": "student", "content": "0", "session_id": 8037, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "why 0?", "session_id": 8037, "sequence_id": 70, "annotations": []}
{"role": "student", "content": "Wait... I realize I messed up.", "session_id": 8037, "sequence_id": 71, "annotations": []}
{"role": "student", "content": "Is it -3?", "session_id": 8037, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "i see why you'd say that...but not exactly", "session_id": 8037, "sequence_id": 73, "annotations": []}
{"role": "student", "content": "I promise I'm not challenged", "session_id": 8037, "sequence_id": 74, "annotations": []}
{"role": "student", "content": "2.5(1/2)^x -3 Is this the one we are looking at?", "session_id": 8037, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 8037, "sequence_id": 76, "annotations": []}
{"role": "student", "content": "Okay. So, the y-intercept... is a", "session_id": 8037, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "yes, but there's a vertical shift", "session_id": 8037, "sequence_id": 78, "annotations": []}
{"role": "student", "content": "The vertical shift would be down 3 units?", "session_id": 8037, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 8037, "sequence_id": 80, "annotations": []}
{"role": "student", "content": "-3?", "session_id": 8037, "sequence_id": 81, "annotations": []}
{"role": "volunteer", "content": "we're moving down 3 units", "session_id": 8037, "sequence_id": 82, "annotations": []}
{"role": "volunteer", "content": "sorry if my replies are a little slow, I'm having network issues", "session_id": 8037, "sequence_id": 83, "annotations": []}
{"role": "student", "content": "It's alright.", "session_id": 8037, "sequence_id": 84, "annotations": []}
{"role": "volunteer", "content": "so if the original y-intercept is 2.5 and we're moving down 3 units, what would the new y-intercept be?", "session_id": 8037, "sequence_id": 85, "annotations": []}
{"role": "student", "content": "-0.5", "session_id": 8037, "sequence_id": 86, "annotations": []}
{"role": "volunteer", "content": "yep!", "session_id": 8037, "sequence_id": 87, "annotations": []}
{"role": "volunteer", "content": "that's it!", "session_id": 8037, "sequence_id": 88, "annotations": []}
{"role": "student", "content": "I wanted to say that, but felt wrong so I avoided it", "session_id": 8037, "sequence_id": 89, "annotations": []}
{"role": "volunteer", "content": "don't doubt yourself! you're doing great! :)", "session_id": 8037, "sequence_id": 90, "annotations": []}
{"role": "student", "content": "Thanks.", "session_id": 8037, "sequence_id": 91, "annotations": []}
{"role": "volunteer", "content": "Let's do another one just incase", "session_id": 8037, "sequence_id": 92, "annotations": []}
{"role": "volunteer", "content": "42(25.6)^x + 30", "session_id": 8037, "sequence_id": 93, "annotations": []}
{"role": "student", "content": "72", "session_id": 8037, "sequence_id": 94, "annotations": []}
{"role": "volunteer", "content": "yes!", "session_id": 8037, "sequence_id": 95, "annotations": []}
{"role": "volunteer", "content": "and is there a growth or decay in this graph?", "session_id": 8037, "sequence_id": 96, "annotations": []}
{"role": "student", "content": "Growth", "session_id": 8037, "sequence_id": 97, "annotations": []}
{"role": "volunteer", "content": "mhm!", "session_id": 8037, "sequence_id": 98, "annotations": []}
{"role": "student", "content": "Because 25.6 is greater than 1?", "session_id": 8037, "sequence_id": 99, "annotations": []}
{"role": "volunteer", "content": "Now, let's move onto horizontal shifts", "session_id": 8037, "sequence_id": 100, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 8037, "sequence_id": 101, "annotations": []}
{"role": "volunteer", "content": "good!", "session_id": 8037, "sequence_id": 102, "annotations": []}
{"role": "volunteer", "content": "so, horizontal shifts happen when you notice in the exponents something like x-2 or x+4", "session_id": 8037, "sequence_id": 103, "annotations": []}
{"role": "volunteer", "content": "so if the constant is negative, the graph is moving to the right. In x-2, the graph is moving to the right 2 units. With x+4, the graph is moving to the left 4", "session_id": 8037, "sequence_id": 104, "annotations": []}
{"role": "student", "content": "So, it is always reverse of the sign?", "session_id": 8037, "sequence_id": 105, "annotations": []}
{"role": "volunteer", "content": "yes!", "session_id": 8037, "sequence_id": 106, "annotations": []}
{"role": "volunteer", "content": "so if our function was 21.2(0.2)^(x+3.21) -10\nwhat would be the shift in x?", "session_id": 8037, "sequence_id": 107, "annotations": []}
{"role": "student", "content": "-3.21 left", "session_id": 8037, "sequence_id": 108, "annotations": []}
{"role": "volunteer", "content": "yep!", "session_id": 8037, "sequence_id": 109, "annotations": []}
{"role": "volunteer", "content": "and what about the y-intercept?", "session_id": 8037, "sequence_id": 110, "annotations": []}
{"role": "student", "content": "11.2", "session_id": 8037, "sequence_id": 111, "annotations": []}
{"role": "volunteer", "content": "yep!", "session_id": 8037, "sequence_id": 112, "annotations": []}
{"role": "volunteer", "content": "lastly, is there growth or decay?", "session_id": 8037, "sequence_id": 113, "annotations": []}
{"role": "student", "content": "Base", "session_id": 8037, "sequence_id": 114, "annotations": []}
{"role": "student", "content": "Decay?", "session_id": 8037, "sequence_id": 115, "annotations": []}
{"role": "student", "content": "0.2 is less than 1", "session_id": 8037, "sequence_id": 116, "annotations": []}
{"role": "volunteer", "content": "yes!", "session_id": 8037, "sequence_id": 117, "annotations": []}
{"role": "student", "content": "Yayyyy", "session_id": 8037, "sequence_id": 118, "annotations": []}
{"role": "student", "content": "I finally got it", "session_id": 8037, "sequence_id": 119, "annotations": []}
{"role": "volunteer", "content": "perfect!", "session_id": 8037, "sequence_id": 120, "annotations": []}
{"role": "volunteer", "content": "I'm so proud of you!", "session_id": 8037, "sequence_id": 121, "annotations": []}
{"role": "student", "content": "Thank you!", "session_id": 8037, "sequence_id": 122, "annotations": []}
{"role": "student", "content": "Do you think I could pass now?", "session_id": 8037, "sequence_id": 123, "annotations": []}
{"role": "volunteer", "content": "I'm sure you can!", "session_id": 8037, "sequence_id": 124, "annotations": []}
{"role": "volunteer", "content": "Wait! One more thing I forgot to mention", "session_id": 8037, "sequence_id": 125, "annotations": []}
{"role": "student", "content": "Okay?", "session_id": 8037, "sequence_id": 126, "annotations": []}
{"role": "volunteer", "content": "If x is negative, then there's also decay", "session_id": 8037, "sequence_id": 127, "annotations": []}
{"role": "volunteer", "content": "so if the function was 4(2)^-x, then there would also be decay", "session_id": 8037, "sequence_id": 128, "annotations": []}
{"role": "student", "content": "Okay.", "session_id": 8037, "sequence_id": 129, "annotations": []}
{"role": "student", "content": "So would it be positive decay?", "session_id": 8037, "sequence_id": 130, "annotations": []}
{"role": "volunteer", "content": "it would be a decay, I'm not sure what you mean by positive decay", "session_id": 8037, "sequence_id": 131, "annotations": []}
{"role": "student", "content": "Nevermind.", "session_id": 8037, "sequence_id": 132, "annotations": []}
{"role": "student", "content": "I don't know why positive was there.", "session_id": 8037, "sequence_id": 133, "annotations": []}
{"role": "volunteer", "content": "Oh okay!", "session_id": 8037, "sequence_id": 134, "annotations": []}
{"role": "volunteer", "content": "But do you get it?", "session_id": 8037, "sequence_id": 135, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 8037, "sequence_id": 136, "annotations": []}
{"role": "volunteer", "content": "Yay!", "session_id": 8037, "sequence_id": 137, "annotations": []}
{"role": "student", "content": "Yeaaa", "session_id": 8037, "sequence_id": 138, "annotations": []}
{"role": "volunteer", "content": "Alright, any further questions for me?", "session_id": 8037, "sequence_id": 139, "annotations": []}
{"role": "student", "content": "Nope.", "session_id": 8037, "sequence_id": 140, "annotations": []}
{"role": "student", "content": "I appreciate the help.", "session_id": 8037, "sequence_id": 141, "annotations": []}
{"role": "volunteer", "content": "Of course! I'm always happy to help :)", "session_id": 8037, "sequence_id": 142, "annotations": []}
{"role": "volunteer", "content": "Then, I'll let you go, Liam! Have a splendid rest of your day/night! Good luck with your test! I'm sure you'll do amazing :)", "session_id": 8037, "sequence_id": 143, "annotations": [{"pii_type": "PERSON", "surrogate": "Liam", "start": 23, "end": 27}]}
{"role": "student", "content": "Thank you again!", "session_id": 8037, "sequence_id": 144, "annotations": []}
{"role": "volunteer", "content": "hello", "session_id": 1269, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "hi", "session_id": 1269, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "how can i help you today", "session_id": 1269, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "I need help with math", "session_id": 1269, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "would you like to put the problem on the board so we can take a look", "session_id": 1269, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "can you use your mic", "session_id": 1269, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "but I type", "session_id": 1269, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "okay give me a second", "session_id": 1269, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "ok", "session_id": 1269, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "Hello, hello.", "session_id": 1269, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "hello.", "session_id": 1269, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "hi", "session_id": 1269, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "All right. Can you hear me OK?", "session_id": 1269, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "say it again", "session_id": 1269, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "Mm, hello", "session_id": 1269, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "Can you hear me?", "session_id": 1269, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "hi", "session_id": 1269, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "Uh, what would you, uh", "session_id": 1269, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "like help with today? Or, or your for your problem, just put on the board and I can help you explain.", "session_id": 1269, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "or how to do it", "session_id": 1269, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "ok", "session_id": 1269, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "its on math and I am in 9th grade do", "session_id": 1269, "sequence_id": 21, "annotations": [{"pii_type": "GRADE_LEVEL", "surrogate": "9th grade", "start": 24, "end": 33}]}
{"role": "volunteer", "content": "All right, all right", "session_id": 1269, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "Got it", "session_id": 1269, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "hold on", "session_id": 1269, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "Yeah, no worries. Take your time", "session_id": 1269, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "ok", "session_id": 1269, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "that is the work", "session_id": 1269, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "All right, so", "session_id": 1269, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "from this each large square represents like number one. So for each square that's like fully filled like here.", "session_id": 1269, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "this would be one", "session_id": 1269, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "and then this is also", "session_id": 1269, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "one", "session_id": 1269, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "and this is also", "session_id": 1269, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "one. So in total of the 3 big square, you have 3.", "session_id": 1269, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "big squares, right?", "session_id": 1269, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "And then you have one, and then we need to figure out how many small squares there are, so 10, 10. So it's a 1010 by 10.", "session_id": 1269, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "on both sides. So there 100", "session_id": 1269, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "small squares.", "session_id": 1269, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "so do I add it", "session_id": 1269, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "Yeah, so basically you add", "session_id": 1269, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "all the green squares like up and it's asking what decimal does it represent? So for there's a 10 since there's a 100.", "session_id": 1269, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "you would, um, it goes up to the 100th place. So that's this.01.", "session_id": 1269, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "and you have 100 of these.", "session_id": 1269, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "because if you multiply this by 100", "session_id": 1269, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "it would equal one. So we just count the, the green squares.", "session_id": 1269, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "1234, this is 20, and then 21, 22, 23, 24, 25, 26, that's 26 small", "session_id": 1269, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "green squares", "session_id": 1269, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "green", "session_id": 1269, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "So then that would give you points to 6.", "session_id": 1269, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "because it the each green square is each small square is", "session_id": 1269, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "0.01.", "session_id": 1269, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "so I just have to count it", "session_id": 1269, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "Yeah, basically", "session_id": 1269, "sequence_id": 53, "annotations": []}
{"role": "student", "content": "ok", "session_id": 1269, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "And then you would add these two numbers. So", "session_id": 1269, "sequence_id": 55, "annotations": []}
{"role": "student", "content": "oooooooo", "session_id": 1269, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "3 + 0.26 and that would give you 3.26", "session_id": 1269, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "Does that make sense? or are you still a little confused.", "session_id": 1269, "sequence_id": 58, "annotations": []}
{"role": "student", "content": "no", "session_id": 1269, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "Would you like me to explain it again?", "session_id": 1269, "sequence_id": 60, "annotations": []}
{"role": "student", "content": "ya", "session_id": 1269, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "Or?", "session_id": 1269, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "OK. So each of the green squares, the big green squares.", "session_id": 1269, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "um, our presents a says up here one hole, so one hole, I think it's just referring to the number one.", "session_id": 1269, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "So for the, are you, I think you got the, got it for the big ones, or you're just confused on this square over here with the small ones, this like partially filled one.", "session_id": 1269, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "Right", "session_id": 1269, "sequence_id": 66, "annotations": []}
{"role": "student", "content": "ya", "session_id": 1269, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "OK, so we'll talk about that one. So for, so there's 100 small squares, and so you would have one, right? One big square equals 11 of the big squares, right? And you have 100 small squares. So to find what each small square, the value of each small square, it's like, you have 100 pieces that add up to this one big squirt, right? So you would divide one by", "session_id": 1269, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "100 pieces, which would give you", "session_id": 1269, "sequence_id": 69, "annotations": []}
{"role": "student", "content": "so i add then I sub", "session_id": 1269, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "100, which is also equal to", "session_id": 1269, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "0.01. You can also subtract it, but if you have each square equal to", "session_id": 1269, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "0.01. So each of these individual small squares are equal to 0.01.", "session_id": 1269, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "And you have um 1 to 26 of them are in green, 26 of the small squares are green. So since 26 small", "session_id": 1269, "sequence_id": 74, "annotations": []}
{"role": "volunteer", "content": "green squares.", "session_id": 1269, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "squares", "session_id": 1269, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "right? So and each square is 0. 0.01. So you do just 26 times 0.01. And that gives you 0.26. So that gives you the value of the square.", "session_id": 1269, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "the", "session_id": 1269, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "filled in part of this square.", "session_id": 1269, "sequence_id": 79, "annotations": []}
{"role": "student", "content": "so that's the answer", "session_id": 1269, "sequence_id": 80, "annotations": []}
{"role": "volunteer", "content": "This is the answer right here, 3.26.", "session_id": 1269, "sequence_id": 81, "annotations": []}
{"role": "student", "content": "can you cirlcel the answer", "session_id": 1269, "sequence_id": 82, "annotations": []}
{"role": "volunteer", "content": "right here, right, it's in the.", "session_id": 1269, "sequence_id": 83, "annotations": []}
{"role": "student", "content": "Sam was right", "session_id": 1269, "sequence_id": 84, "annotations": [{"pii_type": "PERSON", "surrogate": "Sam", "start": 0, "end": 3}]}
{"role": "volunteer", "content": "on", "session_id": 1269, "sequence_id": 85, "annotations": []}
{"role": "student", "content": "next quaion", "session_id": 1269, "sequence_id": 86, "annotations": []}
{"role": "volunteer", "content": "All right, I'll clear the board and then you can put the next question on there.", "session_id": 1269, "sequence_id": 87, "annotations": []}
{"role": "student", "content": "What decimal number does the model represent?\nEach large square represents 1 whole.", "session_id": 1269, "sequence_id": 88, "annotations": []}
{"role": "volunteer", "content": "OK, so same as the last one. So we start here, right? So we're gonna, we know it's 3 +", "session_id": 1269, "sequence_id": 89, "annotations": []}
{"role": "volunteer", "content": "this, whatever this is gonna be over here.", "session_id": 1269, "sequence_id": 90, "annotations": []}
{"role": "volunteer", "content": "So, again, we have 10, 10, when it's 10 by 10. So we have 100 small squares again.", "session_id": 1269, "sequence_id": 91, "annotations": []}
{"role": "volunteer", "content": "So since it's a 100 small squares.", "session_id": 1269, "sequence_id": 92, "annotations": []}
{"role": "volunteer", "content": "100 small squares. We had just count how many of the scores are filled, and we each square is 0.", "session_id": 1269, "sequence_id": 93, "annotations": []}
{"role": "volunteer", "content": "01 So it's the same as the last problem.", "session_id": 1269, "sequence_id": 94, "annotations": []}
{"role": "volunteer", "content": "but we just have a different number of ones that are filled in. So we just count 12, well, we know each one is 10, so we have 1 row, 2 rows, 3 rows, 4 row. So this for these are 10, 1010, and then 7. So we have 47 filled.", "session_id": 1269, "sequence_id": 95, "annotations": []}
{"role": "volunteer", "content": "47", "session_id": 1269, "sequence_id": 96, "annotations": []}
{"role": "volunteer", "content": "And then since 47 of them are filled and each one is worth this amount, 0.01. We multiply 475 0.01 and", "session_id": 1269, "sequence_id": 97, "annotations": []}
{"role": "volunteer", "content": "0.47.", "session_id": 1269, "sequence_id": 98, "annotations": []}
{"role": "volunteer", "content": "So this small square is 0.47, and we add that to 3.", "session_id": 1269, "sequence_id": 99, "annotations": []}
{"role": "volunteer", "content": "and we get 3.47.", "session_id": 1269, "sequence_id": 100, "annotations": []}
{"role": "volunteer", "content": "Do you get that", "session_id": 1269, "sequence_id": 101, "annotations": []}
{"role": "student", "content": "ya", "session_id": 1269, "sequence_id": 102, "annotations": []}
{"role": "volunteer", "content": "All right, good, good to hear.", "session_id": 1269, "sequence_id": 103, "annotations": []}
{"role": "volunteer", "content": "Do you have any more um problems you'd like to do?", "session_id": 1269, "sequence_id": 104, "annotations": []}
{"role": "student", "content": "no", "session_id": 1269, "sequence_id": 105, "annotations": []}
{"role": "volunteer", "content": "All right. Well, um, it was nice tutoring you.", "session_id": 1269, "sequence_id": 106, "annotations": []}
{"role": "volunteer", "content": "I hope you have a great rest of your day.", "session_id": 1269, "sequence_id": 107, "annotations": []}
{"role": "student", "content": "thank you Mr. Davis", "session_id": 1269, "sequence_id": 108, "annotations": [{"pii_type": "PERSON", "surrogate": "Mr. Davis", "start": 10, "end": 19}]}
{"role": "volunteer", "content": "And see you.", "session_id": 1269, "sequence_id": 109, "annotations": []}
{"role": "volunteer", "content": "but", "session_id": 1269, "sequence_id": 110, "annotations": []}
{"role": "volunteer", "content": "Hi", "session_id": 8180, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "Hello! I want to do some of the practice problems from the PDF. Just a heads up I am terrible at Objective 15 so it will take some time. I am currently on Obj. 15 problem 3. Here's the link to the pdf: https://example.com/math_problems.pdf", "session_id": 8180, "sequence_id": 1, "annotations": [{"pii_type": "URL", "surrogate": "https://example.com/math_problems.pdf", "start": 202, "end": 239}]}
{"role": "volunteer", "content": "there is a small trick", "session_id": 8180, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "keep change flip", "session_id": 8180, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "true", "session_id": 8180, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "now idk what to do next", "session_id": 8180, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "now we need to take everything that we could", "session_id": 8180, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "that one is tricker", "session_id": 8180, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "just memorize this", "session_id": 8180, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "mhm", "session_id": 8180, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "does it make sense?", "session_id": 8180, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "Mhm", "session_id": 8180, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "yes it does", "session_id": 8180, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "cool", "session_id": 8180, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "can u give me another problem just like this", "session_id": 8180, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "but w diff #s", "session_id": 8180, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "there it is", "session_id": 8180, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "kk", "session_id": 8180, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "idek if this is right", "session_id": 8180, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "is this wrong", "session_id": 8180, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "answer on the top", "session_id": 8180, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "yep i did it totally diff", "session_id": 8180, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "you are doing fine overall", "session_id": 8180, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "but you struggle with subtraction of squares", "session_id": 8180, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "yep and my test on this is friday", "session_id": 8180, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "hi", "session_id": 8159, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "Hi, it\u2019s 10:30 PM right now and I\u2019m really lost & overwhelmed on my pre-algebra homework. There are 13 questions and they\u2019re really hard. It\u2019s due tomorrow at 1:25 PM, and I haven\u2019t started yet. I\u2019m extremely tired and don\u2019t know where to begin. Can you please help me go through a few of the problems?", "session_id": 8159, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "every single coach has left the session ive been here for 30 minutes", "session_id": 8159, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "I will be glad to work with you on the questions.", "session_id": 8159, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "thank you so much", "session_id": 8159, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "let me get the other page", "session_id": 8159, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "i wanna try and complete like the first  page atleast in like 30 ish minutes because i really ned to sleep", "session_id": 8159, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "need", "session_id": 8159, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "x is the unknown price of the sunglasses.", "session_id": 8159, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "the flip flops were $24", "session_id": 8159, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "so basicallly where trying to find out what half times 24 and the sungless cost to equal 21?", "session_id": 8159, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 8159, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "the second step is using the distributive property.", "session_id": 8159, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "what is the missing number ?", "session_id": 8159, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "like what goes next to it?\\", "session_id": 8159, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 8159, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "24?", "session_id": 8159, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "1/2 times 24.", "session_id": 8159, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "the outside is 1/2.", "session_id": 8159, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "the inside is 24.", "session_id": 8159, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "we multiply those two numbers.", "session_id": 8159, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "12", "session_id": 8159, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "right", "session_id": 8159, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "we want to solve for x.", "session_id": 8159, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "we will ??", "session_id": 8159, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "yup", "session_id": 8159, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "how do we get rid of the 12?", "session_id": 8159, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "divide?", "session_id": 8159, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "or subtract its either one of those", "session_id": 8159, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "we subtract.", "session_id": 8159, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "that is the opposite or inverse of adding.", "session_id": 8159, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "alright so subtract 12 from 12 and then get rid of it", "session_id": 8159, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "?", "session_id": 8159, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 8159, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "so then it's 1/2 x +9", "session_id": 8159, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "?", "session_id": 8159, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "ohh ok were getting rid of the x", "session_id": 8159, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "i mean the plus", "session_id": 8159, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "when we have 1/2 x = a number, we will multiply by 2.", "session_id": 8159, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "so its gonna be 1x which is nothing then x equals 18", "session_id": 8159, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "correct", "session_id": 8159, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "yay!", "session_id": 8159, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "yay!", "session_id": 8159, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "can you actually keep it up for a second please", "session_id": 8159, "sequence_id": 43, "annotations": []}
{"role": "student", "content": "the stuff", "session_id": 8159, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "k", "session_id": 8159, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "would this missing box be 12", "session_id": 8159, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "ok cool", "session_id": 8159, "sequence_id": 47, "annotations": []}
{"role": "student", "content": "so i have", "session_id": 8159, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "x for the first box, 12 for the second, 9 and then 18", "session_id": 8159, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 8159, "sequence_id": 50, "annotations": []}
{"role": "student", "content": "alright cool letme just write this lasty part down real quick", "session_id": 8159, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "alright got it!", "session_id": 8159, "sequence_id": 52, "annotations": []}
{"role": "student", "content": "that made sense!", "session_id": 8159, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "I'm glad.", "session_id": 8159, "sequence_id": 54, "annotations": []}
{"role": "student", "content": "alright can we do question 9  now>", "session_id": 8159, "sequence_id": 55, "annotations": []}
{"role": "student", "content": "?", "session_id": 8159, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 8159, "sequence_id": 57, "annotations": []}
{"role": "student", "content": "take the stuff of now btw", "session_id": 8159, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "this is about using the distributive property again.", "session_id": 8159, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "there is no number in front of the parentheses.", "session_id": 8159, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "there is a number, really.", "session_id": 8159, "sequence_id": 61, "annotations": []}
{"role": "student", "content": "so it would basically go like this?", "session_id": 8159, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "wait", "session_id": 8159, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "do not go pass the equal marks.", "session_id": 8159, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "the number in front of the parentheses is -1", "session_id": 8159, "sequence_id": 65, "annotations": []}
{"role": "student", "content": "im confused", "session_id": 8159, "sequence_id": 66, "annotations": []}
{"role": "student", "content": "ohh nvm", "session_id": 8159, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "we will do nothing to the 28.  just keep it.", "session_id": 8159, "sequence_id": 68, "annotations": []}
{"role": "student", "content": "is this problem kinda similar to the last one?", "session_id": 8159, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 8159, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "but more steps", "session_id": 8159, "sequence_id": 71, "annotations": []}
{"role": "student", "content": "alright", "session_id": 8159, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "-1 times +4  is  ??", "session_id": 8159, "sequence_id": 73, "annotations": []}
{"role": "student", "content": "3", "session_id": 8159, "sequence_id": 74, "annotations": []}
{"role": "volunteer", "content": "multiply", "session_id": 8159, "sequence_id": 75, "annotations": []}
{"role": "student", "content": "??", "session_id": 8159, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "what is negative one times 4?", "session_id": 8159, "sequence_id": 77, "annotations": []}
{"role": "student", "content": "ohh shoot one sec oops", "session_id": 8159, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "k", "session_id": 8159, "sequence_id": 79, "annotations": []}
{"role": "student", "content": "-4", "session_id": 8159, "sequence_id": 80, "annotations": []}
{"role": "volunteer", "content": "we are now on the other side of the equal marks.", "session_id": 8159, "sequence_id": 81, "annotations": []}
{"role": "volunteer", "content": "we have distributive again.", "session_id": 8159, "sequence_id": 82, "annotations": []}
{"role": "student", "content": "alright one sec", "session_id": 8159, "sequence_id": 83, "annotations": []}
{"role": "student", "content": "so for the example i understood what you did but where are we at", "session_id": 8159, "sequence_id": 84, "annotations": []}
{"role": "student", "content": "here?", "session_id": 8159, "sequence_id": 85, "annotations": []}
{"role": "student", "content": "2x-12?", "session_id": 8159, "sequence_id": 86, "annotations": []}
{"role": "volunteer", "content": "2x -12 or 2x + 12", "session_id": 8159, "sequence_id": 87, "annotations": []}
{"role": "student", "content": "oh sorry plus", "session_id": 8159, "sequence_id": 88, "annotations": []}
{"role": "student", "content": "mb", "session_id": 8159, "sequence_id": 89, "annotations": []}
{"role": "volunteer", "content": "there are 3 terms on the left side.", "session_id": 8159, "sequence_id": 90, "annotations": []}
{"role": "volunteer", "content": "which terms can be combined?", "session_id": 8159, "sequence_id": 91, "annotations": []}
{"role": "student", "content": "wait can you point please", "session_id": 8159, "sequence_id": 92, "annotations": []}
{"role": "student", "content": "im getting a litte  mixed up", "session_id": 8159, "sequence_id": 93, "annotations": []}
{"role": "student", "content": "28 and 4?", "session_id": 8159, "sequence_id": 94, "annotations": []}
{"role": "volunteer", "content": "correct", "session_id": 8159, "sequence_id": 95, "annotations": []}
{"role": "volunteer", "content": "they did that part for you.", "session_id": 8159, "sequence_id": 96, "annotations": []}
{"role": "student", "content": "because there both regular whole numbers", "session_id": 8159, "sequence_id": 97, "annotations": []}
{"role": "volunteer", "content": "and wrtoe 24", "session_id": 8159, "sequence_id": 98, "annotations": []}
{"role": "volunteer", "content": "wrote", "session_id": 8159, "sequence_id": 99, "annotations": []}
{"role": "volunteer", "content": "what is left for the box?", "session_id": 8159, "sequence_id": 100, "annotations": []}
{"role": "student", "content": "3x?", "session_id": 8159, "sequence_id": 101, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 8159, "sequence_id": 102, "annotations": []}
{"role": "student", "content": "then 24 - 3x would be 21x?", "session_id": 8159, "sequence_id": 103, "annotations": []}
{"role": "volunteer", "content": "sorry, no", "session_id": 8159, "sequence_id": 104, "annotations": []}
{"role": "volunteer", "content": "we cant combine numbers with x's.", "session_id": 8159, "sequence_id": 105, "annotations": []}
{"role": "volunteer", "content": "we need to work on the right side now.", "session_id": 8159, "sequence_id": 106, "annotations": []}
{"role": "volunteer", "content": "how many x's on that side?", "session_id": 8159, "sequence_id": 107, "annotations": []}
{"role": "student", "content": "2", "session_id": 8159, "sequence_id": 108, "annotations": []}
{"role": "volunteer", "content": "there are 2 terms with x's.", "session_id": 8159, "sequence_id": 109, "annotations": []}
{"role": "volunteer", "content": "what are the numbers with those x's?", "session_id": 8159, "sequence_id": 110, "annotations": []}
{"role": "student", "content": "2 and 12", "session_id": 8159, "sequence_id": 111, "annotations": []}
{"role": "volunteer", "content": "the 12 does not have an x with it.", "session_id": 8159, "sequence_id": 112, "annotations": []}
{"role": "volunteer", "content": "2x + x", "session_id": 8159, "sequence_id": 113, "annotations": []}
{"role": "student", "content": "x squared?", "session_id": 8159, "sequence_id": 114, "annotations": []}
{"role": "volunteer", "content": "x times x is x squared.", "session_id": 8159, "sequence_id": 115, "annotations": []}
{"role": "volunteer", "content": "what is 4x + 3x?", "session_id": 8159, "sequence_id": 116, "annotations": []}
{"role": "volunteer", "content": "7x", "session_id": 8159, "sequence_id": 117, "annotations": []}
{"role": "volunteer", "content": "what is 5x + 2x?", "session_id": 8159, "sequence_id": 118, "annotations": []}
{"role": "volunteer", "content": "7x", "session_id": 8159, "sequence_id": 119, "annotations": []}
{"role": "student", "content": "7x", "session_id": 8159, "sequence_id": 120, "annotations": []}
{"role": "volunteer", "content": "right", "session_id": 8159, "sequence_id": 121, "annotations": []}
{"role": "student", "content": "your just adding the whole numbers", "session_id": 8159, "sequence_id": 122, "annotations": []}
{"role": "volunteer", "content": "what is 2x + 1x?", "session_id": 8159, "sequence_id": 123, "annotations": []}
{"role": "student", "content": "3x", "session_id": 8159, "sequence_id": 124, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 8159, "sequence_id": 125, "annotations": []}
{"role": "volunteer", "content": "there is a number left on the right side.", "session_id": 8159, "sequence_id": 126, "annotations": []}
{"role": "student", "content": "12 is left so that is gonna be what this is equaled to?", "session_id": 8159, "sequence_id": 127, "annotations": []}
{"role": "student", "content": "since we distributed?", "session_id": 8159, "sequence_id": 128, "annotations": []}
{"role": "volunteer", "content": "i have put the numbers into the boxes.", "session_id": 8159, "sequence_id": 129, "annotations": []}
{"role": "volunteer", "content": "wait", "session_id": 8159, "sequence_id": 130, "annotations": []}
{"role": "volunteer", "content": "my black writing matches the red writing, right?", "session_id": 8159, "sequence_id": 131, "annotations": []}
{"role": "volunteer", "content": "we need the next step.", "session_id": 8159, "sequence_id": 132, "annotations": []}
{"role": "volunteer", "content": "we need the x", "session_id": 8159, "sequence_id": 133, "annotations": []}
{"role": "student", "content": "waiy", "session_id": 8159, "sequence_id": 134, "annotations": []}
{"role": "student", "content": "wait", "session_id": 8159, "sequence_id": 135, "annotations": []}
{"role": "student", "content": "i dont know if it matches", "session_id": 8159, "sequence_id": 136, "annotations": []}
{"role": "student", "content": "this is a subtraction", "session_id": 8159, "sequence_id": 137, "annotations": []}
{"role": "student", "content": "wait", "session_id": 8159, "sequence_id": 138, "annotations": []}
{"role": "student", "content": "hold up", "session_id": 8159, "sequence_id": 139, "annotations": []}
{"role": "student", "content": "no its an equals", "session_id": 8159, "sequence_id": 140, "annotations": []}
{"role": "student", "content": "your write", "session_id": 8159, "sequence_id": 141, "annotations": []}
{"role": "student", "content": "right", "session_id": 8159, "sequence_id": 142, "annotations": []}
{"role": "volunteer", "content": "we need the x's to be on the left side.", "session_id": 8159, "sequence_id": 143, "annotations": []}
{"role": "student", "content": "something was blocking it on my side of the screen thats why", "session_id": 8159, "sequence_id": 144, "annotations": []}
{"role": "volunteer", "content": "we will move the x's that are on the right side.", "session_id": 8159, "sequence_id": 145, "annotations": []}
{"role": "volunteer", "content": "we will move them by subtracting.", "session_id": 8159, "sequence_id": 146, "annotations": []}
{"role": "student", "content": "the expression stays the same because you csn combine them", "session_id": 8159, "sequence_id": 147, "annotations": []}
{"role": "student", "content": "??", "session_id": 8159, "sequence_id": 148, "annotations": []}
{"role": "volunteer", "content": "there are x's on both sides of the equation.", "session_id": 8159, "sequence_id": 149, "annotations": []}
{"role": "volunteer", "content": "we need them on the same side.", "session_id": 8159, "sequence_id": 150, "annotations": []}
{"role": "volunteer", "content": "if we subtract 3x from the right side, we have to be fair.  we have to subtract 3x from the left side.", "session_id": 8159, "sequence_id": 151, "annotations": []}
{"role": "volunteer", "content": "be careful.", "session_id": 8159, "sequence_id": 152, "annotations": []}
{"role": "volunteer", "content": "what is -3x -3x?", "session_id": 8159, "sequence_id": 153, "annotations": []}
{"role": "student", "content": "6x", "session_id": 8159, "sequence_id": 154, "annotations": []}
{"role": "volunteer", "content": "good", "session_id": 8159, "sequence_id": 155, "annotations": []}
{"role": "student", "content": "now we need to do 24-6x =12?", "session_id": 8159, "sequence_id": 156, "annotations": []}
{"role": "student", "content": "and factorize it again for the next x?", "session_id": 8159, "sequence_id": 157, "annotations": []}
{"role": "volunteer", "content": "maybe not", "session_id": 8159, "sequence_id": 158, "annotations": []}
{"role": "volunteer", "content": "what has been done to the x?", "session_id": 8159, "sequence_id": 159, "annotations": []}
{"role": "volunteer", "content": "it has been multiplied by -6 and 24 has been added to it.", "session_id": 8159, "sequence_id": 160, "annotations": []}
{"role": "volunteer", "content": "we will reverse addition before we reverse multiplication.", "session_id": 8159, "sequence_id": 161, "annotations": []}
{"role": "volunteer", "content": "how do undo the addition?", "session_id": 8159, "sequence_id": 162, "annotations": []}
{"role": "volunteer", "content": "how do we undo addition?", "session_id": 8159, "sequence_id": 163, "annotations": []}
{"role": "volunteer", "content": "what is the opposite?", "session_id": 8159, "sequence_id": 164, "annotations": []}
{"role": "student", "content": "subtract from both sides", "session_id": 8159, "sequence_id": 165, "annotations": []}
{"role": "volunteer", "content": "right", "session_id": 8159, "sequence_id": 166, "annotations": []}
{"role": "student", "content": "so 24- 6x?", "session_id": 8159, "sequence_id": 167, "annotations": []}
{"role": "volunteer", "content": "we have 24-6x on the left side.", "session_id": 8159, "sequence_id": 168, "annotations": []}
{"role": "volunteer", "content": "we do not want to keep te 24.", "session_id": 8159, "sequence_id": 169, "annotations": []}
{"role": "student", "content": "12-24?", "session_id": 8159, "sequence_id": 170, "annotations": []}
{"role": "volunteer", "content": "what is 5 - 8?", "session_id": 8159, "sequence_id": 171, "annotations": []}
{"role": "student", "content": "-3", "session_id": 8159, "sequence_id": 172, "annotations": []}
{"role": "volunteer", "content": "right", "session_id": 8159, "sequence_id": 173, "annotations": []}
{"role": "volunteer", "content": "do the same for those numbers.", "session_id": 8159, "sequence_id": 174, "annotations": []}
{"role": "student", "content": "so -12", "session_id": 8159, "sequence_id": 175, "annotations": []}
{"role": "volunteer", "content": "yay!", "session_id": 8159, "sequence_id": 176, "annotations": []}
{"role": "student", "content": "so x = -12 for the last box", "session_id": 8159, "sequence_id": 177, "annotations": []}
{"role": "student", "content": "since thats the end of the equation", "session_id": 8159, "sequence_id": 178, "annotations": []}
{"role": "volunteer", "content": "wait", "session_id": 8159, "sequence_id": 179, "annotations": []}
{"role": "student", "content": "??", "session_id": 8159, "sequence_id": 180, "annotations": []}
{"role": "volunteer", "content": "not 6x", "session_id": 8159, "sequence_id": 181, "annotations": []}
{"role": "volunteer", "content": "-6x", "session_id": 8159, "sequence_id": 182, "annotations": []}
{"role": "volunteer", "content": "then we will need to divide to reverse the multiplication.", "session_id": 8159, "sequence_id": 183, "annotations": []}
{"role": "student", "content": "Ohhh i wrote it donw that way but on my paper i wrote -6x oops", "session_id": 8159, "sequence_id": 184, "annotations": []}
{"role": "student", "content": "down", "session_id": 8159, "sequence_id": 185, "annotations": []}
{"role": "student", "content": "omg we finished", "session_id": 8159, "sequence_id": 186, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 8159, "sequence_id": 187, "annotations": []}
{"role": "student", "content": "that felt so long but i learned so much lol", "session_id": 8159, "sequence_id": 188, "annotations": []}
{"role": "volunteer", "content": "you're welcome.", "session_id": 8159, "sequence_id": 189, "annotations": []}
{"role": "volunteer", "content": "first step:  use distributive property.", "session_id": 8159, "sequence_id": 190, "annotations": []}
{"role": "volunteer", "content": "2nd step:  combine like terms that are on the same side of the equal marks.", "session_id": 8159, "sequence_id": 191, "annotations": []}
{"role": "volunteer", "content": "third step:  move the x's to one side of the equal marks.", "session_id": 8159, "sequence_id": 192, "annotations": []}
{"role": "volunteer", "content": "then reverse any addition or subtraction.", "session_id": 8159, "sequence_id": 193, "annotations": []}
{"role": "volunteer", "content": "last step:  reverse any multiplication", "session_id": 8159, "sequence_id": 194, "annotations": []}
{"role": "student", "content": "alright! ill write those down on my problem", "session_id": 8159, "sequence_id": 195, "annotations": []}
{"role": "student", "content": "on my page i mean", "session_id": 8159, "sequence_id": 196, "annotations": []}
{"role": "volunteer", "content": "yes!", "session_id": 8159, "sequence_id": 197, "annotations": []}
{"role": "student", "content": "alright im super tired but i dont know if i should do the next one or wait untill tomorrow", "session_id": 8159, "sequence_id": 198, "annotations": []}
{"role": "volunteer", "content": "maybe one with fractions...", "session_id": 8159, "sequence_id": 199, "annotations": []}
{"role": "student", "content": "because its due tomorrow at 1:25 but i could work on some in the morning", "session_id": 8159, "sequence_id": 200, "annotations": []}
{"role": "student", "content": "yeah lets do 13", "session_id": 8159, "sequence_id": 201, "annotations": []}
{"role": "student", "content": "is that good ?", "session_id": 8159, "sequence_id": 202, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 8159, "sequence_id": 203, "annotations": []}
{"role": "student", "content": "not too long after this im gonna sleep", "session_id": 8159, "sequence_id": 204, "annotations": []}
{"role": "student", "content": "the question isint that long", "session_id": 8159, "sequence_id": 205, "annotations": []}
{"role": "student", "content": "since it had fractions", "session_id": 8159, "sequence_id": 206, "annotations": []}
{"role": "student", "content": "ahh", "session_id": 8159, "sequence_id": 207, "annotations": []}
{"role": "student", "content": "so for 13 we are distributing first", "session_id": 8159, "sequence_id": 208, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 8159, "sequence_id": 209, "annotations": []}
{"role": "student", "content": "then were gonna combine terms", "session_id": 8159, "sequence_id": 210, "annotations": []}
{"role": "student", "content": "which are", "session_id": 8159, "sequence_id": 211, "annotations": []}
{"role": "student", "content": "wait are we combining on the left or right", "session_id": 8159, "sequence_id": 212, "annotations": []}
{"role": "volunteer", "content": "for this one, there are no terms to combine.", "session_id": 8159, "sequence_id": 213, "annotations": []}
{"role": "student", "content": "oh ok", "session_id": 8159, "sequence_id": 214, "annotations": []}
{"role": "volunteer", "content": "we will move the x's to the same side.", "session_id": 8159, "sequence_id": 215, "annotations": []}
{"role": "volunteer", "content": "we will need a common denominator to combine 1/6 - 1/2", "session_id": 8159, "sequence_id": 216, "annotations": []}
{"role": "student", "content": "so are we subtracting 1/6- 1/2", "session_id": 8159, "sequence_id": 217, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 8159, "sequence_id": 218, "annotations": []}
{"role": "student", "content": "1/3", "session_id": 8159, "sequence_id": 219, "annotations": []}
{"role": "volunteer", "content": "can't do that.", "session_id": 8159, "sequence_id": 220, "annotations": []}
{"role": "volunteer", "content": "we need the same denominator", "session_id": 8159, "sequence_id": 221, "annotations": []}
{"role": "volunteer", "content": "please sign on again for more help.", "session_id": 8159, "sequence_id": 222, "annotations": []}
{"role": "volunteer", "content": "the site is open 24 hours a day.", "session_id": 8159, "sequence_id": 223, "annotations": []}
{"role": "student", "content": "hi", "session_id": 8208, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "Hellooo", "session_id": 8208, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "can u pls hep me rnn", "session_id": 8208, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "Graphing Linear inequalities", "session_id": 8208, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "of course", "session_id": 8208, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "alright, so instead of graphing x>-3 do you know how to graph x=-3?", "session_id": 8208, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "no.", "session_id": 8208, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "alright so when we have x= to a number, its always gonna be a straight vertical line", "session_id": 8208, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "for example x=1:", "session_id": 8208, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "but theres no line under the dash thingy", "session_id": 8208, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "stay with me trust", "session_id": 8208, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "ook i need to Algebra 201 or else ima fail", "session_id": 8208, "sequence_id": 11, "annotations": [{"pii_type": "COURSE", "surrogate": "Algebra 201", "start": 14, "end": 25}]}
{"role": "student", "content": "the class", "session_id": 8208, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "i got you dont worry", "session_id": 8208, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "ty", "session_id": 8208, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "okay so how would you do x=-3 now that i show you how to graph x=1?", "session_id": 8208, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "yes", "session_id": 8208, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "beutiful", "session_id": 8208, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "yay", "session_id": 8208, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "now here is the cool part", "session_id": 8208, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "when we have an inequality like > or <", "session_id": 8208, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "the line is DASHED", "session_id": 8208, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "huh", "session_id": 8208, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "look at mines for examples", "session_id": 8208, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "x>1", "session_id": 8208, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "ohhhhh", "session_id": 8208, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "in your problem it says dotted my bad", "session_id": 8208, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "but it says i need to plot two points", "session_id": 8208, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "lol its ok", "session_id": 8208, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "hold on hold on", "session_id": 8208, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "theres one more part to it", "session_id": 8208, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "notice that x has to be greater than -3", "session_id": 8208, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "meaning anything below -3 does not exist", "session_id": 8208, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "so we shade everything that is greater than -3", "session_id": 8208, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "oh shoot", "session_id": 8208, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "OMG I UNDERSYAMD", "session_id": 8208, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "can you put the picture back", "session_id": 8208, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "Lets goooo1", "session_id": 8208, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "its ok", "session_id": 8208, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "try graphing it now that i said that", "session_id": 8208, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "but the plot things is something i do not understand", "session_id": 8208, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "two plots", "session_id": 8208, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "it gives me the two plots", "session_id": 8208, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "i think IXL just a bit dumb", "session_id": 8208, "sequence_id": 43, "annotations": []}
{"role": "student", "content": "fr", "session_id": 8208, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "i have ixl tests....", "session_id": 8208, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "its so bad", "session_id": 8208, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "but my guess would be that it starts at x=-3 then to the max", "session_id": 8208, "sequence_id": 47, "annotations": []}
{"role": "student", "content": "can u check with ai by any chance cuz im scared to fail this", "session_id": 8208, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "(ur not cheating)", "session_id": 8208, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "i get you i get you, hold on", "session_id": 8208, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "how about his", "session_id": 8208, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "*this", "session_id": 8208, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "can you put a picture of how it wants you to do it? i havent use IXL in years im sure its not the same as it used to be", "session_id": 8208, "sequence_id": 53, "annotations": []}
{"role": "student", "content": "sure also ima plot and show u as an ex", "session_id": 8208, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "is it that pencil thingy on the right?", "session_id": 8208, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "and okay perfect", "session_id": 8208, "sequence_id": 56, "annotations": []}
{"role": "student", "content": "no", "session_id": 8208, "sequence_id": 57, "annotations": []}
{"role": "student", "content": "here", "session_id": 8208, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "ohhh yeah thats what i was exaclty talking about", "session_id": 8208, "sequence_id": 59, "annotations": []}
{"role": "student", "content": "phew i thought i got an unexperience tutor like last week", "session_id": 8208, "sequence_id": 60, "annotations": []}
{"role": "student", "content": "but i trusted u since u started teaching", "session_id": 8208, "sequence_id": 61, "annotations": []}
{"role": "student", "content": "lol", "session_id": 8208, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "thank you, Northwood High so yeah", "session_id": 8208, "sequence_id": 63, "annotations": [{"pii_type": "SCHOOL", "surrogate": "Northwood High", "start": 11, "end": 25}]}
{"role": "student", "content": "cool", "session_id": 8208, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "okay lets get back to the blank one", "session_id": 8208, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "okay we have x>-3 we are just missing the shading", "session_id": 8208, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "which i was gonna say to be my next step", "session_id": 8208, "sequence_id": 67, "annotations": []}
{"role": "student", "content": "but like which plots", "session_id": 8208, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "hold on maybe this will make sense", "session_id": 8208, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "everything after -3 is shaded", "session_id": 8208, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "so thats how it supposed to look like in your IXL", "session_id": 8208, "sequence_id": 71, "annotations": []}
{"role": "student", "content": "yea i understanf but like i need two plots it said", "session_id": 8208, "sequence_id": 72, "annotations": []}
{"role": "student", "content": "aat -3 and waht", "session_id": 8208, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "my bad my bad", "session_id": 8208, "sequence_id": 74, "annotations": []}
{"role": "volunteer", "content": "yeah that i was trying to get to as well", "session_id": 8208, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "i said at the point", "session_id": 8208, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "-3 and the max", "session_id": 8208, "sequence_id": 77, "annotations": []}
{"role": "student", "content": "oh sorry if i missed what u said", "session_id": 8208, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "no its fine, i was confused bc thats what i thought i said alredy", "session_id": 8208, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "can you put another picture of that  please? we need you to pass \ud83d\ude4f", "session_id": 8208, "sequence_id": 80, "annotations": []}
{"role": "volunteer", "content": "Hello?", "session_id": 8208, "sequence_id": 81, "annotations": []}
{"role": "volunteer", "content": "Hi Leo. Thanks for using this service. What do you want to work on today?", "session_id": 8198, "sequence_id": 0, "annotations": [{"pii_type": "PERSON", "surrogate": "Leo", "start": 3, "end": 6}]}
{"role": "student", "content": "I have a quiz tomorrow, it's open notes thank goodness, and I'm having trouble understanding how to describe transformations of linear functions", "session_id": 8198, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "OK, I think I know what you're referring to.", "session_id": 8198, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "Can you do a basic plot of y=x ?", "session_id": 8198, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "what is that?", "session_id": 8198, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "Before I go too far with my own examples, do you have any examples of your own you want to work on or have questions about?", "session_id": 8198, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "Oh. describe the transformations in the function as it relates to the graph of f(x)=x. g(x)=-12x", "session_id": 8198, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "OK, can you graph f(x)=x ?", "session_id": 8198, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "yes???", "session_id": 8198, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "Something like that, right?", "session_id": 8198, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "ohhhh yeah I've seen that ok", "session_id": 8198, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "So how would you take that graph and \"transform\" it to get the graph of g(x)=-12x ?", "session_id": 8198, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "is g(x) the same as f(x)?", "session_id": 8198, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "No. From the problem you wrote, f(x)=x and g(x)=-12x. They're similar, but g(x) has an extra factor of -12 in front. Do you agree?", "session_id": 8198, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "Yeah but I was just wondering if I could like substitute f(x) for g(x) to make it f(x)=-12 or if the letters actually mattered where they went", "session_id": 8198, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "I don't the the letters matter, you could call the function f(x) or g(x) or h(x) or whatever", "session_id": 8198, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "ok", "session_id": 8198, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "The idea of the transformation, is to start with something easy (like f(x)=x) that you know immediately how to graph, and then apply transformations to graph more complicated functions.", "session_id": 8198, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "k so would I move the line down by 12?", "session_id": 8198, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "Close. The general idea is that transformations move the line up or down, or left or right, or stretch or compress it horizontally or vertically, or flip it vertically", "session_id": 8198, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "When you multiply in front by a factor greater than 1, it stretches the graph vertically", "session_id": 8198, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "if you divided, would it compress?", "session_id": 8198, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "Yes, divide by 12 would compress in the vertical direction.", "session_id": 8198, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "Let's go back to your problem of graphing g(x)=-12x", "session_id": 8198, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "so for g(x)=-12x would I need to multiply or divide?", "session_id": 8198, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "The 12 is multiplication by something that has magnitude greater than 1, so it stretches (not compresses) vertically", "session_id": 8198, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "As an intermediate step, let's try graphing h(x)=12x", "session_id": 8198, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "why would I need to multiply it though?", "session_id": 8198, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "ok so h(x) is the same as g(x) and f(x) I know that now", "session_id": 8198, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "and I guess it's basically the same thing as the problem before except that 12 is positive", "session_id": 8198, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "OK. I've done a graph for h(x)=12x=12*f(x). Yes, with positive 12 and not negative 12. Do you see how it stretched vertically?", "session_id": 8198, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "oh so by going up more, it stretched?", "session_id": 8198, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "Yes, the factor of 12 caused it to be stretched vertically. You can check that when you plug in a value of x=1 into h(x)=12x, what do you get?", "session_id": 8198, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "its stretching x?", "session_id": 8198, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "No, it's taking the simple line for y=x and stretching it in the y direction by a factor of 12.", "session_id": 8198, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "oh, because it is going more up and the y axis goes up & down?", "session_id": 8198, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "Correct!", "session_id": 8198, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "So let's go back to your original problem g(x)=-12x. You can also write this as g(x)=-h(x), because we defined h(x)=12x. The transformation effect of the negative in front is to flip the graph in the y direction.", "session_id": 8198, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "so it would be a reflection because it is negative", "session_id": 8198, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "My drawing isn't great, but I'm trying to show that g(x) is just h(x) flipped vertically.", "session_id": 8198, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "Yes! Reflection about x axis because it's negative", "session_id": 8198, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "and 12x would be positive so the line would go up ohhhh I get it", "session_id": 8198, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "Great!", "session_id": 8198, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "You could go directly from f(x) to g(x) by stretching the graph vertically, and flipping it vertically, but I think it makes it easier to do it step by step.", "session_id": 8198, "sequence_id": 43, "annotations": []}
{"role": "student", "content": "ok", "session_id": 8198, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "I think teachers generally like you to \"show your work\" so if you break it down into smaller steps like that it helps explain your thought process", "session_id": 8198, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "Do you have another one we can try?", "session_id": 8198, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "I will", "session_id": 8198, "sequence_id": 47, "annotations": []}
{"role": "student", "content": "um no I think that's it", "session_id": 8198, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "OK. I hope I was able to help a little bit. Good luck on your quiz tomorrow!", "session_id": 8198, "sequence_id": 49, "annotations": []}
{"role": "student", "content": "I have homework due tmr that I need to do but Im having issues with my calc and they only taught me with the calc so I don't know how to do it manuall", "session_id": 8183, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "Hi Sarah! What are we working on?", "session_id": 8183, "sequence_id": 1, "annotations": [{"pii_type": "PERSON", "surrogate": "Sarah", "start": 3, "end": 8}]}
{"role": "student", "content": "hi!!", "session_id": 8183, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "were working on exponential data modeling", "session_id": 8183, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "One of the questions rn", "session_id": 8183, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "hold on its having issues lol", "session_id": 8183, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "is this good", "session_id": 8183, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "it isn't uploading", "session_id": 8183, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "uhh yeah this is fine", "session_id": 8183, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "alright", "session_id": 8183, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "if u want we can voice chat it might be easier", "session_id": 8183, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "sure whatever you prefer", "session_id": 8183, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "alright we can talk", "session_id": 8183, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "Hey", "session_id": 8183, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "Hello", "session_id": 8183, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "Hi", "session_id": 8183, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "I look", "session_id": 8183, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "All right, sorry. Like it wasn't uploading.", "session_id": 8183, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "Yeah, no worries. Uh, I think it doesn't work with that image format. It needs to be either a PNG or a JPEG.", "session_id": 8183, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "Oh", "session_id": 8183, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "But it's fine. This, this is fine.", "session_id": 8183, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "um", "session_id": 8183, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "Yeah.", "session_id": 8183, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "All right.", "session_id": 8183, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "OK, so the second problem?", "session_id": 8183, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "Yeah, it's, it's this problem right here.", "session_id": 8183, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "OK.", "session_id": 8183, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "Um, so this is for AP precalc.", "session_id": 8183, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 8183, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "Also have like the other questions, but um not to take a photo of them and then like, send it to you.", "session_id": 8183, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "OK.", "session_id": 8183, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "Is it growing up", "session_id": 8183, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "Oh, ****", "session_id": 8183, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "sorry", "session_id": 8183, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "OK. So", "session_id": 8183, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "um, I think you mentioned that your calculator is having issues, and you didn't know how to do this manually.", "session_id": 8183, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "Yeah, um, so basically our teacher wanted us to use, uh, I just detected me for profanity.", "session_id": 8183, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "Yeah.", "session_id": 8183, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "Um, anyways,", "session_id": 8183, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "what I was saying is that", "session_id": 8183, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "I was using the TI 84+.", "session_id": 8183, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "Mhm", "session_id": 8183, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "and", "session_id": 8183, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "for some reason, when I would put it in,", "session_id": 8183, "sequence_id": 43, "annotations": []}
{"role": "student", "content": "like, like when I put in the chart, that's right here. It's supposed to like give you like A and B cause you need to find, you know, Y equals A, B, X", "session_id": 8183, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "Yeah, yeah", "session_id": 8183, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "um, and it was giving me like 20 different numbers and like it was just", "session_id": 8183, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "it was just really off, so, and our teacher, like he taught us to do it that way and in case the calculators don't work, I wanna know like how to do it.", "session_id": 8183, "sequence_id": 47, "annotations": []}
{"role": "student", "content": "without the calculator", "session_id": 8183, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "OK. Sure.", "session_id": 8183, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "Uh, OK, so usually what I like to do to start with. So you have", "session_id": 8183, "sequence_id": 50, "annotations": []}
{"role": "student", "content": "OK", "session_id": 8183, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "Y equals AB X. Um, I think some of the values to um like start plugging them in.", "session_id": 8183, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "So", "session_id": 8183, "sequence_id": 53, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 8183, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "let, we can start with the one where X is 0.", "session_id": 8183, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "um", "session_id": 8183, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "so that would be why it's 25, right?", "session_id": 8183, "sequence_id": 57, "annotations": []}
{"role": "student", "content": "Yeah.", "session_id": 8183, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "OK, so", "session_id": 8183, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "yeah, go ahead", "session_id": 8183, "sequence_id": 60, "annotations": []}
{"role": "student", "content": "Yeah, yeah, I know, sorry, sorry to cut you off. Yeah, but um when he was teaching us this this afternoon.", "session_id": 8183, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "Mhm", "session_id": 8183, "sequence_id": 62, "annotations": []}
{"role": "student", "content": "he, like, I do know like a bit about the topic, like I'm not completely off. Thing is, it's just like mainly finding", "session_id": 8183, "sequence_id": 63, "annotations": []}
{"role": "student", "content": "the, the equation. But like, I know like like the steps, it's just not really fresh in my head.", "session_id": 8183, "sequence_id": 64, "annotations": []}
{"role": "student", "content": "Mhm", "session_id": 8183, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "OK. So, we need to find, you need help like finding A and B, right?", "session_id": 8183, "sequence_id": 66, "annotations": []}
{"role": "student", "content": "Yeah, it's A and B because the rest, I know that you could basically just like plug it in most of the time.", "session_id": 8183, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 8183, "sequence_id": 68, "annotations": []}
{"role": "student", "content": "into the X", "session_id": 8183, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "Um, so actually, uh, you could kind of do that to find A and B, um, so", "session_id": 8183, "sequence_id": 70, "annotations": []}
{"role": "student", "content": "Oh", "session_id": 8183, "sequence_id": 71, "annotations": []}
{"role": "student", "content": "So", "session_id": 8183, "sequence_id": 72, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 8183, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "if so when B is, oh sorry, when X is 0, what's why?", "session_id": 8183, "sequence_id": 74, "annotations": []}
{"role": "student", "content": "It's 25", "session_id": 8183, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "OK, and when you have A times b to 0.", "session_id": 8183, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "What's another way of writing that", "session_id": 8183, "sequence_id": 77, "annotations": []}
{"role": "student", "content": "A times B 0.", "session_id": 8183, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "Yeah.", "session_id": 8183, "sequence_id": 79, "annotations": []}
{"role": "student", "content": "Uh, it would be", "session_id": 8183, "sequence_id": 80, "annotations": []}
{"role": "student", "content": "sorry, I, like you wrote that down.", "session_id": 8183, "sequence_id": 81, "annotations": []}
{"role": "student", "content": "A times B 0?", "session_id": 8183, "sequence_id": 82, "annotations": []}
{"role": "volunteer", "content": "Yeah.", "session_id": 8183, "sequence_id": 83, "annotations": []}
{"role": "volunteer", "content": "Yep", "session_id": 8183, "sequence_id": 84, "annotations": []}
{"role": "student", "content": "That would just be A, you know, because each deer.", "session_id": 8183, "sequence_id": 85, "annotations": []}
{"role": "student", "content": "is one.", "session_id": 8183, "sequence_id": 86, "annotations": []}
{"role": "volunteer", "content": "Mhm. And we said that that equals what value?", "session_id": 8183, "sequence_id": 87, "annotations": []}
{"role": "student", "content": "25", "session_id": 8183, "sequence_id": 88, "annotations": []}
{"role": "volunteer", "content": "Yeah, so now you know A", "session_id": 8183, "sequence_id": 89, "annotations": []}
{"role": "student", "content": "Oh, let me write that down.", "session_id": 8183, "sequence_id": 90, "annotations": []}
{"role": "student", "content": "Hold on, sorry", "session_id": 8183, "sequence_id": 91, "annotations": []}
{"role": "student", "content": "Um", "session_id": 8183, "sequence_id": 92, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 8183, "sequence_id": 93, "annotations": []}
{"role": "volunteer", "content": "Yeah, no problem, yeah, it just makes more sense if I talk it out like that, then if I just like say the formula. So that way you'll like remember if you need to do it again.", "session_id": 8183, "sequence_id": 94, "annotations": []}
{"role": "student", "content": "Yeah, cause I have a test on Friday and I get like all the other things.", "session_id": 8183, "sequence_id": 95, "annotations": []}
{"role": "volunteer", "content": "Mhm.", "session_id": 8183, "sequence_id": 96, "annotations": []}
{"role": "student", "content": "but it's just like", "session_id": 8183, "sequence_id": 97, "annotations": []}
{"role": "student", "content": "uh this one's kinda like hard.", "session_id": 8183, "sequence_id": 98, "annotations": []}
{"role": "volunteer", "content": "Yeah, so basically whatever um when X is 0, whatever that Y value is, is A.", "session_id": 8183, "sequence_id": 99, "annotations": []}
{"role": "student", "content": "Mm", "session_id": 8183, "sequence_id": 100, "annotations": []}
{"role": "volunteer", "content": "Does make sense", "session_id": 8183, "sequence_id": 101, "annotations": []}
{"role": "student", "content": "Oh. Yeah, yeah, yeah.", "session_id": 8183, "sequence_id": 102, "annotations": []}
{"role": "volunteer", "content": "OK, cool", "session_id": 8183, "sequence_id": 103, "annotations": []}
{"role": "student", "content": "All right.", "session_id": 8183, "sequence_id": 104, "annotations": []}
{"role": "student", "content": "Now onto the", "session_id": 8183, "sequence_id": 105, "annotations": []}
{"role": "volunteer", "content": "Yup", "session_id": 8183, "sequence_id": 106, "annotations": []}
{"role": "student", "content": "I think that's what I was having the most trouble finding.", "session_id": 8183, "sequence_id": 107, "annotations": []}
{"role": "volunteer", "content": "So do you know how to find B now? or do you still need a, need help?", "session_id": 8183, "sequence_id": 108, "annotations": []}
{"role": "student", "content": "I, yeah, I think I'll still like need help.", "session_id": 8183, "sequence_id": 109, "annotations": []}
{"role": "volunteer", "content": "Yeah, OK", "session_id": 8183, "sequence_id": 110, "annotations": []}
{"role": "student", "content": "Mhm", "session_id": 8183, "sequence_id": 111, "annotations": []}
{"role": "volunteer", "content": "So what are you thinking for how to find B?", "session_id": 8183, "sequence_id": 112, "annotations": []}
{"role": "student", "content": "Um", "session_id": 8183, "sequence_id": 113, "annotations": []}
{"role": "student", "content": "if I remember correctly, without looking at my notes.", "session_id": 8183, "sequence_id": 114, "annotations": []}
{"role": "volunteer", "content": "Mhm", "session_id": 8183, "sequence_id": 115, "annotations": []}
{"role": "student", "content": "Uh, I remember we had to use both the first, both of the first two Y and X and Y's. So, like, for example,", "session_id": 8183, "sequence_id": 116, "annotations": []}
{"role": "student", "content": "like when he was teaching us, I remember him using specifically like the 1st 20.", "session_id": 8183, "sequence_id": 117, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 8183, "sequence_id": 118, "annotations": []}
{"role": "volunteer", "content": "Mhm.", "session_id": 8183, "sequence_id": 119, "annotations": []}
{"role": "student", "content": "these first two and then like it'd be something like uh I think it was a whole different formula, but", "session_id": 8183, "sequence_id": 120, "annotations": []}
{"role": "student", "content": "so we're, I guess, but yeah, he just used both of these and then he felt like found like, oh like plus K or something.", "session_id": 8183, "sequence_id": 121, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 8183, "sequence_id": 122, "annotations": []}
{"role": "volunteer", "content": "Um", "session_id": 8183, "sequence_id": 123, "annotations": []}
{"role": "volunteer", "content": "so in this one", "session_id": 8183, "sequence_id": 124, "annotations": []}
{"role": "student", "content": "I think that's really off", "session_id": 8183, "sequence_id": 125, "annotations": []}
{"role": "student", "content": "Yeah.", "session_id": 8183, "sequence_id": 126, "annotations": []}
{"role": "volunteer", "content": "yeah. So in this one, if you're doing Y equals AB X, there's not like, you don't really have to worry about a plusk here.", "session_id": 8183, "sequence_id": 127, "annotations": []}
{"role": "student", "content": "Yeah.", "session_id": 8183, "sequence_id": 128, "annotations": []}
{"role": "volunteer", "content": "Um, so what you're going to want to do is, OK, so", "session_id": 8183, "sequence_id": 129, "annotations": []}
{"role": "volunteer", "content": "we want to use the second set of X and Y, right?", "session_id": 8183, "sequence_id": 130, "annotations": []}
{"role": "student", "content": "Yeah, the second best in life.", "session_id": 8183, "sequence_id": 131, "annotations": []}
{"role": "volunteer", "content": "So if you plug those into the equation, what would it look like?", "session_id": 8183, "sequence_id": 132, "annotations": []}
{"role": "student", "content": "Uh, it would look like", "session_id": 8183, "sequence_id": 133, "annotations": []}
{"role": "student", "content": "and so the first one that we did", "session_id": 8183, "sequence_id": 134, "annotations": []}
{"role": "volunteer", "content": "Uh, yeah, the same y equals AB to the X, yeah.", "session_id": 8183, "sequence_id": 135, "annotations": []}
{"role": "student", "content": "it'd be like", "session_id": 8183, "sequence_id": 136, "annotations": []}
{"role": "student", "content": "wait, would it be like 20 points 5 equals", "session_id": 8183, "sequence_id": 137, "annotations": []}
{"role": "student", "content": "like that's wrong, but", "session_id": 8183, "sequence_id": 138, "annotations": []}
{"role": "volunteer", "content": "Oh, yeah, yeah, yeah, that's, that's right.", "session_id": 8183, "sequence_id": 139, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 8183, "sequence_id": 140, "annotations": []}
{"role": "student", "content": "It'd be like", "session_id": 8183, "sequence_id": 141, "annotations": []}
{"role": "student", "content": "mm, it's either this, I feel like the 20.5 is either the it it has to be the A cause it was the A for the first one.", "session_id": 8183, "sequence_id": 142, "annotations": []}
{"role": "volunteer", "content": "OK, so not exactly. It was A for the first, yeah.", "session_id": 8183, "sequence_id": 143, "annotations": []}
{"role": "student", "content": "Oh, no, no, no. No, it's, that's the Y.", "session_id": 8183, "sequence_id": 144, "annotations": []}
{"role": "volunteer", "content": "Mhm", "session_id": 8183, "sequence_id": 145, "annotations": []}
{"role": "student", "content": "Yeah, cause then the A, yeah, my bad.", "session_id": 8183, "sequence_id": 146, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 8183, "sequence_id": 147, "annotations": []}
{"role": "student", "content": "Sorry, learning along the way.", "session_id": 8183, "sequence_id": 148, "annotations": []}
{"role": "volunteer", "content": "OK, no problem", "session_id": 8183, "sequence_id": 149, "annotations": []}
{"role": "volunteer", "content": "Mhm", "session_id": 8183, "sequence_id": 150, "annotations": []}
{"role": "student", "content": "Then the bee would be right here and then you'd have your ex.", "session_id": 8183, "sequence_id": 151, "annotations": []}
{"role": "volunteer", "content": "Uh, yes, but what's the value for X from the table?", "session_id": 8183, "sequence_id": 152, "annotations": []}
{"role": "volunteer", "content": "Yup.", "session_id": 8183, "sequence_id": 153, "annotations": []}
{"role": "student", "content": "Oh, the X right here would be 6, no, not yeah, 6.", "session_id": 8183, "sequence_id": 154, "annotations": []}
{"role": "volunteer", "content": "Yeah.", "session_id": 8183, "sequence_id": 155, "annotations": []}
{"role": "student", "content": "I would erase that, but I really don't want to.", "session_id": 8183, "sequence_id": 156, "annotations": []}
{"role": "volunteer", "content": "Yeah, it's OK. Um, so now, I would define the value for B.", "session_id": 8183, "sequence_id": 157, "annotations": []}
{"role": "student", "content": "The method for B.", "session_id": 8183, "sequence_id": 158, "annotations": []}
{"role": "volunteer", "content": "Mhm.", "session_id": 8183, "sequence_id": 159, "annotations": []}
{"role": "student", "content": "could, um, well, you need to find 20.5.", "session_id": 8183, "sequence_id": 160, "annotations": []}
{"role": "student", "content": "So, I don't know. Usually,", "session_id": 8183, "sequence_id": 161, "annotations": []}
{"role": "student", "content": "um, I would do the same thing I did on my algebra EOC and it's just put random numbers until I, until it's right.", "session_id": 8183, "sequence_id": 162, "annotations": []}
{"role": "student", "content": "Mhm", "session_id": 8183, "sequence_id": 163, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 8183, "sequence_id": 164, "annotations": []}
{"role": "student", "content": "Mhm", "session_id": 8183, "sequence_id": 165, "annotations": []}
{"role": "volunteer", "content": "OK. Um, so that is one way to do it. Uh, but it'll be kind of difficult because it's like a decimal and some other like weird stuff. Um, so let's try just doing it like you would in just algebra. So let's try to solve your B, right? So what would you do first?", "session_id": 8183, "sequence_id": 166, "annotations": []}
{"role": "student", "content": "Um", "session_id": 8183, "sequence_id": 167, "annotations": []}
{"role": "student", "content": "hmm", "session_id": 8183, "sequence_id": 168, "annotations": []}
{"role": "student", "content": "I really hope, I really wish my calculator was working right now.", "session_id": 8183, "sequence_id": 169, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 8183, "sequence_id": 170, "annotations": []}
{"role": "volunteer", "content": "Yeah, so you are like generally going to need a calculator for this, at least a little bit, but you can simplify it some more. Um, so what you're going to want to do is divide both sides by 25.", "session_id": 8183, "sequence_id": 171, "annotations": []}
{"role": "student", "content": "000", "session_id": 8183, "sequence_id": 172, "annotations": []}
{"role": "student", "content": "OK. Wait.", "session_id": 8183, "sequence_id": 173, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 8183, "sequence_id": 174, "annotations": []}
{"role": "student", "content": "I forgot for a", "session_id": 8183, "sequence_id": 175, "annotations": []}
{"role": "student", "content": "yeah, no, sorry.", "session_id": 8183, "sequence_id": 176, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 8183, "sequence_id": 177, "annotations": []}
{"role": "student", "content": "OK, so I", "session_id": 8183, "sequence_id": 178, "annotations": []}
{"role": "student", "content": "both sides by 25 cause you need to cancel out the 25.", "session_id": 8183, "sequence_id": 179, "annotations": []}
{"role": "volunteer", "content": "Yup", "session_id": 8183, "sequence_id": 180, "annotations": []}
{"role": "student", "content": "So it'd be", "session_id": 8183, "sequence_id": 181, "annotations": []}
{"role": "volunteer", "content": "Mhm.", "session_id": 8183, "sequence_id": 182, "annotations": []}
{"role": "student", "content": "hold on let me use the calculator on my phone to calculate that.", "session_id": 8183, "sequence_id": 183, "annotations": []}
{"role": "volunteer", "content": "yup", "session_id": 8183, "sequence_id": 184, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 8183, "sequence_id": 185, "annotations": []}
{"role": "student", "content": "Oh, sorry, 10.5 divided by", "session_id": 8183, "sequence_id": 186, "annotations": []}
{"role": "student", "content": "So, I'm saying like sorry a lot. It's like for bait.", "session_id": 8183, "sequence_id": 187, "annotations": []}
{"role": "volunteer", "content": "It's OK. Don't worry about it", "session_id": 8183, "sequence_id": 188, "annotations": []}
{"role": "student", "content": "I got 0.82.", "session_id": 8183, "sequence_id": 189, "annotations": []}
{"role": "student", "content": "Mhm", "session_id": 8183, "sequence_id": 190, "annotations": []}
{"role": "volunteer", "content": "OK. Yeah, that should be right. Um, so you have 0.82 is equal to B 6. So now what?", "session_id": 8183, "sequence_id": 191, "annotations": []}
{"role": "student", "content": "Uh", "session_id": 8183, "sequence_id": 192, "annotations": []}
{"role": "student", "content": "sorry, I'm writing that down on my paper.", "session_id": 8183, "sequence_id": 193, "annotations": []}
{"role": "volunteer", "content": "Yeah, of course.", "session_id": 8183, "sequence_id": 194, "annotations": []}
{"role": "volunteer", "content": "Yeah.", "session_id": 8183, "sequence_id": 195, "annotations": []}
{"role": "student", "content": "cause he wants to wants me to show him my work.", "session_id": 8183, "sequence_id": 196, "annotations": []}
{"role": "student", "content": "Uh, so it'd be 0.82", "session_id": 8183, "sequence_id": 197, "annotations": []}
{"role": "volunteer", "content": "Mhm", "session_id": 8183, "sequence_id": 198, "annotations": []}
{"role": "student", "content": "for the", "session_id": 8183, "sequence_id": 199, "annotations": []}
{"role": "student", "content": "E, right", "session_id": 8183, "sequence_id": 200, "annotations": []}
{"role": "student", "content": "Does the E?", "session_id": 8183, "sequence_id": 201, "annotations": []}
{"role": "student", "content": "B 6", "session_id": 8183, "sequence_id": 202, "annotations": []}
{"role": "volunteer", "content": "Uh, be the 6th is equal to a point.", "session_id": 8183, "sequence_id": 203, "annotations": []}
{"role": "student", "content": "OK", "session_id": 8183, "sequence_id": 204, "annotations": []}
{"role": "student", "content": "So", "session_id": 8183, "sequence_id": 205, "annotations": []}
{"role": "volunteer", "content": "Yeah, because we just divided those parts for 25.", "session_id": 8183, "sequence_id": 206, "annotations": []}
{"role": "student", "content": "OK, so it'd be 25.", "session_id": 8183, "sequence_id": 207, "annotations": []}
{"role": "student", "content": "0.82.", "session_id": 8183, "sequence_id": 208, "annotations": []}
{"role": "student", "content": "to a 6. So we could just find um", "session_id": 8183, "sequence_id": 209, "annotations": []}
{"role": "student", "content": "uh I don't know. I guess to, to the", "session_id": 8183, "sequence_id": 210, "annotations": []}
{"role": "student", "content": "to the 0", "session_id": 8183, "sequence_id": 211, "annotations": []}
{"role": "student", "content": "Change the exponent", "session_id": 8183, "sequence_id": 212, "annotations": []}
{"role": "student", "content": "I asked", "session_id": 8183, "sequence_id": 213, "annotations": []}
{"role": "volunteer", "content": "Uh, how would you change the exonent?", "session_id": 8183, "sequence_id": 214, "annotations": []}
{"role": "student", "content": "uh, power.", "session_id": 8183, "sequence_id": 215, "annotations": []}
{"role": "volunteer", "content": "Mhm.", "session_id": 8183, "sequence_id": 216, "annotations": []}
{"role": "student", "content": "something, um, it was uh", "session_id": 8183, "sequence_id": 217, "annotations": []}
{"role": "volunteer", "content": "Yeah, but you don't want it to be zero, right? Because if you have B to the 0, that's just 1.", "session_id": 8183, "sequence_id": 218, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 8183, "sequence_id": 219, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 8183, "sequence_id": 220, "annotations": []}
{"role": "student", "content": "yeah, so, oh, it would be one. We'd have to find", "session_id": 8183, "sequence_id": 221, "annotations": []}
{"role": "volunteer", "content": "Mhm", "session_id": 8183, "sequence_id": 222, "annotations": []}
{"role": "student", "content": "OK, we'd have to find one. so using the, what's it called? Power.", "session_id": 8183, "sequence_id": 223, "annotations": []}
{"role": "volunteer", "content": "Mhm", "session_id": 8183, "sequence_id": 224, "annotations": []}
{"role": "student", "content": "Power something", "session_id": 8183, "sequence_id": 225, "annotations": []}
{"role": "student", "content": "Exponent power", "session_id": 8183, "sequence_id": 226, "annotations": []}
{"role": "volunteer", "content": "Yeah, exponent power or you can say like the root, um", "session_id": 8183, "sequence_id": 227, "annotations": []}
{"role": "volunteer", "content": "whatever", "session_id": 8183, "sequence_id": 228, "annotations": []}
{"role": "volunteer", "content": "As long as you know how to get it on your calculator. That's the important part.", "session_id": 8183, "sequence_id": 229, "annotations": []}
{"role": "student", "content": "Yeah, I know that.", "session_id": 8183, "sequence_id": 230, "annotations": []}
{"role": "volunteer", "content": "And you can do this on the iPhone calculator too. You don't need um like a grain for this.", "session_id": 8183, "sequence_id": 231, "annotations": []}
{"role": "student", "content": "How do you do that", "session_id": 8183, "sequence_id": 232, "annotations": []}
{"role": "student", "content": "Weight loss?", "session_id": 8183, "sequence_id": 233, "annotations": []}
{"role": "volunteer", "content": "Yeah, so, um", "session_id": 8183, "sequence_id": 234, "annotations": []}
{"role": "student", "content": "Uh-huh", "session_id": 8183, "sequence_id": 235, "annotations": []}
{"role": "volunteer", "content": "we have beat of the 6th right now, right, and we want be the first.", "session_id": 8183, "sequence_id": 236, "annotations": []}
{"role": "student", "content": "Yeah.", "session_id": 8183, "sequence_id": 237, "annotations": []}
{"role": "volunteer", "content": "Um, so how do you get from 6 to 1?", "session_id": 8183, "sequence_id": 238, "annotations": []}
{"role": "student", "content": "You subtract 5.", "session_id": 8183, "sequence_id": 239, "annotations": []}
{"role": "volunteer", "content": "Uh", "session_id": 8183, "sequence_id": 240, "annotations": []}
{"role": "volunteer", "content": "yes.", "session_id": 8183, "sequence_id": 241, "annotations": []}
{"role": "volunteer", "content": "You can't subtract 5 for this one. You have to do division or multiplication.", "session_id": 8183, "sequence_id": 242, "annotations": []}
{"role": "student", "content": "Oh, you could", "session_id": 8183, "sequence_id": 243, "annotations": []}
{"role": "student", "content": "you could divide by uh", "session_id": 8183, "sequence_id": 244, "annotations": []}
{"role": "student", "content": "by 6", "session_id": 8183, "sequence_id": 245, "annotations": []}
{"role": "student", "content": "Mhm", "session_id": 8183, "sequence_id": 246, "annotations": []}
{"role": "volunteer", "content": "Right. So if you multiply it by 1/6.", "session_id": 8183, "sequence_id": 247, "annotations": []}
{"role": "volunteer", "content": "then", "session_id": 8183, "sequence_id": 248, "annotations": []}
{"role": "student", "content": "Oh", "session_id": 8183, "sequence_id": 249, "annotations": []}
{"role": "student", "content": "I.", "session_id": 8183, "sequence_id": 250, "annotations": []}
{"role": "volunteer", "content": "yeah, so, basically, you know how you can like square both sides or like something like that.", "session_id": 8183, "sequence_id": 251, "annotations": []}
{"role": "volunteer", "content": "Um, you take both sides of the equation to the 1/6.", "session_id": 8183, "sequence_id": 252, "annotations": []}
{"role": "volunteer", "content": "Does that make sense", "session_id": 8183, "sequence_id": 253, "annotations": []}
{"role": "student", "content": "No.", "session_id": 8183, "sequence_id": 254, "annotations": []}
{"role": "volunteer", "content": "OK. Uh, let me try to find the time.", "session_id": 8183, "sequence_id": 255, "annotations": []}
{"role": "student", "content": "See, see, I'm hearing what you're putting down, but I'm not really picking it up.", "session_id": 8183, "sequence_id": 256, "annotations": []}
{"role": "volunteer", "content": "Yeah, let me try to find the little annotate guy, uh, Ben.", "session_id": 8183, "sequence_id": 257, "annotations": [{"pii_type": "PERSON", "surrogate": "Ben", "start": 54, "end": 57}]}
{"role": "volunteer", "content": "OK, um", "session_id": 8183, "sequence_id": 258, "annotations": []}
{"role": "student", "content": "Oh, we could take that off. You can take that off if you want.", "session_id": 8183, "sequence_id": 259, "annotations": []}
{"role": "volunteer", "content": "that was the um", "session_id": 8183, "sequence_id": 260, "annotations": []}
{"role": "student", "content": "Yeah.", "session_id": 8183, "sequence_id": 261, "annotations": []}
{"role": "volunteer", "content": "oh, yeah.", "session_id": 8183, "sequence_id": 262, "annotations": []}
{"role": "student", "content": "Yeah.", "session_id": 8183, "sequence_id": 263, "annotations": []}
{"role": "volunteer", "content": "Yeah, I'm just trying to make the share screen smaller so I can actually", "session_id": 8183, "sequence_id": 264, "annotations": []}
{"role": "volunteer", "content": "see the little pencil", "session_id": 8183, "sequence_id": 265, "annotations": []}
{"role": "volunteer", "content": "OK, cool. So", "session_id": 8183, "sequence_id": 266, "annotations": []}
{"role": "volunteer", "content": "we're solving the equation and you have like 0.82.", "session_id": 8183, "sequence_id": 267, "annotations": []}
{"role": "volunteer", "content": "05", "session_id": 8183, "sequence_id": 268, "annotations": []}
{"role": "volunteer", "content": "825", "session_id": 8183, "sequence_id": 269, "annotations": []}
{"role": "volunteer", "content": "is equal to be 6, right?", "session_id": 8183, "sequence_id": 270, "annotations": []}
{"role": "volunteer", "content": "Mm", "session_id": 8183, "sequence_id": 271, "annotations": []}
{"role": "student", "content": "Mhm", "session_id": 8183, "sequence_id": 272, "annotations": []}
{"role": "volunteer", "content": "And then 6. So we just want to find Bta the first.", "session_id": 8183, "sequence_id": 273, "annotations": []}
{"role": "volunteer", "content": "So what I'm going to do is I'm going to take like the whole equation.", "session_id": 8183, "sequence_id": 274, "annotations": []}
{"role": "volunteer", "content": "uh cause you know in algebra, you can do anything you want to in equation, as long as you do it to both sides.", "session_id": 8183, "sequence_id": 275, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 8183, "sequence_id": 276, "annotations": []}
{"role": "volunteer", "content": "Um, so I'm gonna take both sides to the 16.", "session_id": 8183, "sequence_id": 277, "annotations": []}
{"role": "volunteer", "content": "So that'll give me on the right side.", "session_id": 8183, "sequence_id": 278, "annotations": []}
{"role": "volunteer", "content": "B the 6th to the 16th. Um, and I don't know if you remember, but when you have like two exponents, they just multiply.", "session_id": 8183, "sequence_id": 279, "annotations": []}
{"role": "student", "content": "Yeah, I remember that", "session_id": 8183, "sequence_id": 280, "annotations": []}
{"role": "student", "content": "Mhm.", "session_id": 8183, "sequence_id": 281, "annotations": []}
{"role": "volunteer", "content": "Yeah, so that's just gonna be D on the right side because 6 times 16, and then on the left side, we have 0.82 to the 16.", "session_id": 8183, "sequence_id": 282, "annotations": []}
{"role": "volunteer", "content": "Does that make sense", "session_id": 8183, "sequence_id": 283, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 8183, "sequence_id": 284, "annotations": []}
{"role": "student", "content": "Yeah, it's just", "session_id": 8183, "sequence_id": 285, "annotations": []}
{"role": "student", "content": "it's, wait, is it multiplying or dividing by 16?", "session_id": 8183, "sequence_id": 286, "annotations": []}
{"role": "volunteer", "content": "It's multiplying by 16 or divided by 6.", "session_id": 8183, "sequence_id": 287, "annotations": []}
{"role": "student", "content": "multiply. OK.", "session_id": 8183, "sequence_id": 288, "annotations": []}
{"role": "volunteer", "content": "Yeah, so", "session_id": 8183, "sequence_id": 289, "annotations": []}
{"role": "student", "content": "Yeah, dividing by 6 is probably easier.", "session_id": 8183, "sequence_id": 290, "annotations": []}
{"role": "volunteer", "content": "but yeah, so if you divide it by 6, so it's like taking the square root, except it's going to be the 6th route.", "session_id": 8183, "sequence_id": 291, "annotations": []}
{"role": "student", "content": "Mhm.", "session_id": 8183, "sequence_id": 292, "annotations": []}
{"role": "volunteer", "content": "Um, so it's going to be", "session_id": 8183, "sequence_id": 293, "annotations": []}
{"role": "volunteer", "content": "6", "session_id": 8183, "sequence_id": 294, "annotations": []}
{"role": "volunteer", "content": "uh", "session_id": 8183, "sequence_id": 295, "annotations": []}
{"role": "volunteer", "content": "of 0.82", "session_id": 8183, "sequence_id": 296, "annotations": []}
{"role": "volunteer", "content": "is equal to the 6th root of B to the 6.", "session_id": 8183, "sequence_id": 297, "annotations": []}
{"role": "volunteer", "content": "Yeah, some people just find the roots easier than fraction exponents. Oops, that's a terrible 8. My thing is logging a little bit, so.", "session_id": 8183, "sequence_id": 298, "annotations": []}
{"role": "volunteer", "content": "um", "session_id": 8183, "sequence_id": 299, "annotations": []}
{"role": "volunteer", "content": "do you need me to write it out or does that make sense?", "session_id": 8183, "sequence_id": 300, "annotations": []}
{"role": "student", "content": "Uh, I", "session_id": 8183, "sequence_id": 301, "annotations": []}
{"role": "student", "content": "think it makes sense.", "session_id": 8183, "sequence_id": 302, "annotations": []}
{"role": "volunteer", "content": "OK.", "session_id": 8183, "sequence_id": 303, "annotations": []}
{"role": "volunteer", "content": "Um", "session_id": 8183, "sequence_id": 304, "annotations": []}
{"role": "student", "content": "Well", "session_id": 8183, "sequence_id": 305, "annotations": []}
{"role": "volunteer", "content": "yeah, so it's like, you know, if it were B squared, you would take the square root of both sides, right?", "session_id": 8183, "sequence_id": 306, "annotations": []}
{"role": "student", "content": "Yeah, I, I knew that", "session_id": 8183, "sequence_id": 307, "annotations": []}
{"role": "volunteer", "content": "So if it's to the 6th power, it's the same thing. You just do the 6th through.", "session_id": 8183, "sequence_id": 308, "annotations": []}
{"role": "student", "content": "Oh, wait, OK, yeah, oh.", "session_id": 8183, "sequence_id": 309, "annotations": []}
{"role": "student", "content": "Mhm. Let me write that down. Let me write that down.", "session_id": 8183, "sequence_id": 310, "annotations": []}
{"role": "student", "content": "Yeah, I don't think I have an extra piece of paper, write that down.", "session_id": 8183, "sequence_id": 311, "annotations": []}
{"role": "student", "content": "Hold on, let me find the script so I can write that down.", "session_id": 8183, "sequence_id": 312, "annotations": []}
{"role": "student", "content": "OK, problem", "session_id": 8183, "sequence_id": 313, "annotations": []}
{"role": "student", "content": "Uh, so I'll tear it down like in words.", "session_id": 8183, "sequence_id": 314, "annotations": []}
{"role": "volunteer", "content": "Uh, yeah, so, um", "session_id": 8183, "sequence_id": 315, "annotations": []}
{"role": "volunteer", "content": "what's, that is the duration of the time.", "session_id": 8183, "sequence_id": 316, "annotations": []}
{"role": "volunteer", "content": "Uh, so you have the", "session_id": 8183, "sequence_id": 317, "annotations": []}
{"role": "volunteer", "content": "um beer the 6th, and you just want B, so you take the 6th route.", "session_id": 8183, "sequence_id": 318, "annotations": []}
{"role": "student", "content": "Mhm", "session_id": 8183, "sequence_id": 319, "annotations": []}
{"role": "volunteer", "content": "Um, the same as if it were B squared, you would do the square root.", "session_id": 8183, "sequence_id": 320, "annotations": []}
{"role": "volunteer", "content": "Does that make sense", "session_id": 8183, "sequence_id": 321, "annotations": []}
{"role": "student", "content": "Yeah, I'm just writing it down.", "session_id": 8183, "sequence_id": 322, "annotations": []}
{"role": "volunteer", "content": "Yeah, cool", "session_id": 8183, "sequence_id": 323, "annotations": []}
{"role": "student", "content": "cause I need, I need to pass the test.", "session_id": 8183, "sequence_id": 324, "annotations": []}
{"role": "volunteer", "content": "Yeah, it usually makes more sense if you do it with smaller numbers, uh, first. So if it were B squared and you know how to solve it, it's just going to be like the same idea.", "session_id": 8183, "sequence_id": 325, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 8183, "sequence_id": 326, "annotations": []}
{"role": "volunteer", "content": "Yeah, and then you would just use your calculator to get like the 6th root of 0.82.", "session_id": 8183, "sequence_id": 327, "annotations": []}
{"role": "student", "content": "All right. So for this one,", "session_id": 8183, "sequence_id": 328, "annotations": []}
{"role": "student", "content": "um I would just, yeah, I'd probably have to use a calculator on that one.", "session_id": 8183, "sequence_id": 329, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 8183, "sequence_id": 330, "annotations": []}
{"role": "volunteer", "content": "Yeah, you can't really guess this one.", "session_id": 8183, "sequence_id": 331, "annotations": []}
{"role": "student", "content": "Uh, I don't know how to do that.", "session_id": 8183, "sequence_id": 332, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 8183, "sequence_id": 333, "annotations": []}
{"role": "volunteer", "content": "Mhm. Yeah, so on the iPhone calculator, you know, where it has like the Y", "session_id": 8183, "sequence_id": 334, "annotations": []}
{"role": "volunteer", "content": "root X button.", "session_id": 8183, "sequence_id": 335, "annotations": []}
{"role": "student", "content": "Yeah, and how's the X?", "session_id": 8183, "sequence_id": 336, "annotations": []}
{"role": "volunteer", "content": "Yeah, so you can put whatever you want for Y and X there. um", "session_id": 8183, "sequence_id": 337, "annotations": []}
{"role": "student", "content": "Yeah. Wait, it's not letting me do the Y.", "session_id": 8183, "sequence_id": 338, "annotations": []}
{"role": "volunteer", "content": "uh", "session_id": 8183, "sequence_id": 339, "annotations": []}
{"role": "volunteer", "content": "let's", "session_id": 8183, "sequence_id": 340, "annotations": []}
{"role": "student", "content": "Let, let me just", "session_id": 8183, "sequence_id": 341, "annotations": []}
{"role": "student", "content": "do it on like my, the one on my computer.", "session_id": 8183, "sequence_id": 342, "annotations": []}
{"role": "student", "content": "Did that take away the screen sharing? No, it didn't.", "session_id": 8183, "sequence_id": 343, "annotations": []}
{"role": "student", "content": "Did it?", "session_id": 8183, "sequence_id": 344, "annotations": []}
{"role": "volunteer", "content": "Oh, I can still see the that way.", "session_id": 8183, "sequence_id": 345, "annotations": []}
{"role": "student", "content": "All right, yeah. Well that doesn't wanna work.", "session_id": 8183, "sequence_id": 346, "annotations": []}
{"role": "student", "content": "Oh", "session_id": 8183, "sequence_id": 347, "annotations": []}
{"role": "student", "content": "let's just pretend I did it", "session_id": 8183, "sequence_id": 348, "annotations": []}
{"role": "student", "content": "and I got the answer", "session_id": 8183, "sequence_id": 349, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 8183, "sequence_id": 350, "annotations": []}
{"role": "student", "content": "Yeah, me", "session_id": 8183, "sequence_id": 351, "annotations": []}
{"role": "volunteer", "content": "As long as you're sure you know how to do it, that's fine.", "session_id": 8183, "sequence_id": 352, "annotations": []}
{"role": "student", "content": "Yeah, I just, I just need to get the number now so I can actually put it on the paper. But yeah, I, I know what you're trying to, yeah, but I understand what you're telling me.", "session_id": 8183, "sequence_id": 353, "annotations": []}
{"role": "volunteer", "content": "Cool", "session_id": 8183, "sequence_id": 354, "annotations": []}
{"role": "student", "content": "Yeah.", "session_id": 8183, "sequence_id": 355, "annotations": []}
{"role": "student", "content": "Hold on", "session_id": 8183, "sequence_id": 356, "annotations": []}
{"role": "student", "content": "See, sometimes the calculator on iPhone wants to work, and then other times it doesn't it it's so annoying.", "session_id": 8183, "sequence_id": 357, "annotations": []}
{"role": "volunteer", "content": "Yeah, sometimes it's kind of weird with the way it works. Um", "session_id": 8183, "sequence_id": 358, "annotations": []}
{"role": "student", "content": "Yeah, because like", "session_id": 8183, "sequence_id": 359, "annotations": []}
{"role": "student", "content": "I'm trying to put in the number, but like it's not letting me.", "session_id": 8183, "sequence_id": 360, "annotations": []}
{"role": "student", "content": "cause I put in like, let's say 0.82 and then I put", "session_id": 8183, "sequence_id": 361, "annotations": []}
{"role": "volunteer", "content": "Mhm", "session_id": 8183, "sequence_id": 362, "annotations": []}
{"role": "student", "content": "well like I tried putting this, the 6 1st, like it won't let me do that.", "session_id": 8183, "sequence_id": 363, "annotations": []}
{"role": "volunteer", "content": "Mm", "session_id": 8183, "sequence_id": 364, "annotations": []}
{"role": "student", "content": "Like, they gave me 0.90", "session_id": 8183, "sequence_id": 365, "annotations": []}
{"role": "volunteer", "content": "uh", "session_id": 8183, "sequence_id": 366, "annotations": []}
{"role": "student", "content": "and I don't think that's right.", "session_id": 8183, "sequence_id": 367, "annotations": []}
{"role": "volunteer", "content": "yeah, that doesn't seem right.", "session_id": 8183, "sequence_id": 368, "annotations": []}
{"role": "volunteer", "content": "Um", "session_id": 8183, "sequence_id": 369, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 8183, "sequence_id": 370, "annotations": []}
{"role": "student", "content": "I'll see if I put it in chat to see if it'll actually give me the answer.", "session_id": 8183, "sequence_id": 371, "annotations": []}
{"role": "student", "content": "OK, it says now that it's", "session_id": 8183, "sequence_id": 372, "annotations": []}
{"role": "volunteer", "content": "you could also probably just Google it, um.", "session_id": 8183, "sequence_id": 373, "annotations": []}
{"role": "volunteer", "content": "and it would be", "session_id": 8183, "sequence_id": 374, "annotations": []}
{"role": "student", "content": "yeah, it says 5.43.", "session_id": 8183, "sequence_id": 375, "annotations": []}
{"role": "student", "content": "That's what LGBT said", "session_id": 8183, "sequence_id": 376, "annotations": []}
{"role": "volunteer", "content": "5.43.", "session_id": 8183, "sequence_id": 377, "annotations": []}
{"role": "student", "content": "Huh?", "session_id": 8183, "sequence_id": 378, "annotations": []}
{"role": "volunteer", "content": "What did you put in", "session_id": 8183, "sequence_id": 379, "annotations": []}
{"role": "student", "content": "I put in uh the like the thing, so 6.", "session_id": 8183, "sequence_id": 380, "annotations": []}
{"role": "student", "content": "um on the top thingy.", "session_id": 8183, "sequence_id": 381, "annotations": []}
{"role": "student", "content": "like right here", "session_id": 8183, "sequence_id": 382, "annotations": []}
{"role": "volunteer", "content": "Right", "session_id": 8183, "sequence_id": 383, "annotations": []}
{"role": "student", "content": "Um, 0.82. It says 5.43. Well, let me, let me see if my other calculator will do it. Hold on.", "session_id": 8183, "sequence_id": 384, "annotations": []}
{"role": "student", "content": "The non $100.01.", "session_id": 8183, "sequence_id": 385, "annotations": []}
{"role": "student", "content": "which is currently broken for some reason.", "session_id": 8183, "sequence_id": 386, "annotations": []}
{"role": "volunteer", "content": "It might not be like fully broken, even if it wasn't like graphic doing the", "session_id": 8183, "sequence_id": 387, "annotations": []}
{"role": "student", "content": "I", "session_id": 8183, "sequence_id": 388, "annotations": []}
{"role": "student", "content": "I", "session_id": 8183, "sequence_id": 389, "annotations": []}
{"role": "volunteer", "content": "like quadratic things correctly, or sorry, the expedition.", "session_id": 8183, "sequence_id": 390, "annotations": []}
{"role": "student", "content": "No, I think it's because there's something wrong with the settings", "session_id": 8183, "sequence_id": 391, "annotations": []}
{"role": "volunteer", "content": "Mhm", "session_id": 8183, "sequence_id": 392, "annotations": []}
{"role": "student", "content": "Like that's what it has to be. I think I need to do like a whole restart on my calculator, and I also need to charge it, but, like, earlier today when we were doing it in class, like it was giving me like", "session_id": 8183, "sequence_id": 393, "annotations": []}
{"role": "student", "content": "double the digits, and I'm not trying to get another S in the class. So,", "session_id": 8183, "sequence_id": 394, "annotations": []}
{"role": "volunteer", "content": "OK.", "session_id": 8183, "sequence_id": 395, "annotations": []}
{"role": "student", "content": "I'm like, I'm actually trying to pass this time.", "session_id": 8183, "sequence_id": 396, "annotations": []}
{"role": "student", "content": "I mean, I was always trying to pass, but", "session_id": 8183, "sequence_id": 397, "annotations": []}
{"role": "student", "content": "you know what I mean", "session_id": 8183, "sequence_id": 398, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 8183, "sequence_id": 399, "annotations": []}
{"role": "student", "content": "I", "session_id": 8183, "sequence_id": 400, "annotations": []}
{"role": "volunteer", "content": "I also have it on my calculator, um, if it's easier, I can just swallow to you since you know how to do it.", "session_id": 8183, "sequence_id": 401, "annotations": []}
{"role": "student", "content": "but yeah, wait, actually,", "session_id": 8183, "sequence_id": 402, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 8183, "sequence_id": 403, "annotations": []}
{"role": "student", "content": "let me actually get the chart recalculated. Sorry, I you just forgotten me I need to charge my calculator.", "session_id": 8183, "sequence_id": 404, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 8183, "sequence_id": 405, "annotations": []}
{"role": "student", "content": "Yeah, which I need it, so.", "session_id": 8183, "sequence_id": 406, "annotations": []}
{"role": "volunteer", "content": "Mhm", "session_id": 8183, "sequence_id": 407, "annotations": []}
{"role": "student", "content": "sorry", "session_id": 8183, "sequence_id": 408, "annotations": []}
{"role": "student", "content": "Are you doing this for volunteer hours?", "session_id": 8183, "sequence_id": 409, "annotations": []}
{"role": "volunteer", "content": "Uh, not really for hours, just I have a lot of free time figured.", "session_id": 8183, "sequence_id": 410, "annotations": []}
{"role": "student", "content": "Oh", "session_id": 8183, "sequence_id": 411, "annotations": []}
{"role": "volunteer", "content": "I'll do something with it", "session_id": 8183, "sequence_id": 412, "annotations": []}
{"role": "student", "content": "yeah, cause I was told by by another tutor that they do it for volunteer hours, and I was looking into it.", "session_id": 8183, "sequence_id": 413, "annotations": []}
{"role": "volunteer", "content": "Oh, no, I, I work, um, but I just have free time, so.", "session_id": 8183, "sequence_id": 414, "annotations": []}
{"role": "student", "content": "Uh, college?", "session_id": 8183, "sequence_id": 415, "annotations": []}
{"role": "volunteer", "content": "Uh, no, State University a few years ago.", "session_id": 8183, "sequence_id": 416, "annotations": [{"pii_type": "SCHOOL", "surrogate": "State University", "start": 8, "end": 24}]}
{"role": "student", "content": "Oh, yeah, I'Community College right now, but to start my bachelor's.", "session_id": 8183, "sequence_id": 417, "annotations": [{"pii_type": "SCHOOL", "surrogate": "Community College", "start": 12, "end": 29}]}
{"role": "volunteer", "content": "Oh, but", "session_id": 8183, "sequence_id": 418, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 8183, "sequence_id": 419, "annotations": []}
{"role": "student", "content": "That's why I was asking cause I might, I, I wanna do it, but I don't know if it's worth my time cause it's, this is already a lot of work as it is.", "session_id": 8183, "sequence_id": 420, "annotations": []}
{"role": "student", "content": "cause", "session_id": 8183, "sequence_id": 421, "annotations": []}
{"role": "student", "content": "I'm in like an honors program or whatever.", "session_id": 8183, "sequence_id": 422, "annotations": []}
{"role": "student", "content": "and it's really", "session_id": 8183, "sequence_id": 423, "annotations": []}
{"role": "student", "content": "it's really", "session_id": 8183, "sequence_id": 424, "annotations": []}
{"role": "student", "content": "like extra", "session_id": 8183, "sequence_id": 425, "annotations": []}
{"role": "student", "content": "And I really have time for like myself.", "session_id": 8183, "sequence_id": 426, "annotations": []}
{"role": "volunteer", "content": "Mm", "session_id": 8183, "sequence_id": 427, "annotations": []}
{"role": "student", "content": "So.", "session_id": 8183, "sequence_id": 428, "annotations": []}
{"role": "student", "content": "cause I", "session_id": 8183, "sequence_id": 429, "annotations": []}
{"role": "volunteer", "content": "Yeah, that's. Four-Year College, it kind of gets a little bit easier because you have more control over what classes you take and what you're interested in.", "session_id": 8183, "sequence_id": 430, "annotations": [{"pii_type": "SCHOOL", "surrogate": "Four-Year College", "start": 14, "end": 31}]}
{"role": "student", "content": "yeah", "session_id": 8183, "sequence_id": 431, "annotations": []}
{"role": "student", "content": "Well, I, right now, I have my uh my associates in psychology.", "session_id": 8183, "sequence_id": 432, "annotations": []}
{"role": "student", "content": "But the thing is I'm doing my pre-res for medical school at the same time.", "session_id": 8183, "sequence_id": 433, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 8183, "sequence_id": 434, "annotations": []}
{"role": "volunteer", "content": "Oh", "session_id": 8183, "sequence_id": 435, "annotations": []}
{"role": "student", "content": "So", "session_id": 8183, "sequence_id": 436, "annotations": []}
{"role": "student", "content": "because", "session_id": 8183, "sequence_id": 437, "annotations": []}
{"role": "student", "content": "uh, Local University that I wanna go, Southern Med.", "session_id": 8183, "sequence_id": 438, "annotations": [{"pii_type": "SCHOOL", "surrogate": "Local University", "start": 4, "end": 20}, {"pii_type": "SCHOOL", "surrogate": "Southern Med", "start": 38, "end": 50}]}
{"role": "volunteer", "content": "OK.", "session_id": 8183, "sequence_id": 439, "annotations": []}
{"role": "volunteer", "content": "Mhm.", "session_id": 8183, "sequence_id": 440, "annotations": []}
{"role": "student", "content": "but they also allow you to start working and", "session_id": 8183, "sequence_id": 441, "annotations": []}
{"role": "volunteer", "content": "Yes", "session_id": 8183, "sequence_id": 442, "annotations": []}
{"role": "student", "content": "um for your bachelor's if you'Medical Prep School program, so that's what I'm doing right now.", "session_id": 8183, "sequence_id": 443, "annotations": [{"pii_type": "SCHOOL", "surrogate": "Medical Prep School", "start": 30, "end": 49}]}
{"role": "volunteer", "content": "Mm", "session_id": 8183, "sequence_id": 444, "annotations": []}
{"role": "student", "content": "Oh, you've, OK.", "session_id": 8183, "sequence_id": 445, "annotations": []}
{"role": "volunteer", "content": "Oh, I figured out how to do it on the iPhone calculator. Uh, so you type the 0.82 1st.", "session_id": 8183, "sequence_id": 446, "annotations": []}
{"role": "student", "content": "Mhm.", "session_id": 8183, "sequence_id": 447, "annotations": []}
{"role": "volunteer", "content": "and then you press the Y root X button.", "session_id": 8183, "sequence_id": 448, "annotations": []}
{"role": "student", "content": "Oh, hold on let me.", "session_id": 8183, "sequence_id": 449, "annotations": []}
{"role": "student", "content": "see.", "session_id": 8183, "sequence_id": 450, "annotations": []}
{"role": "student", "content": "So", "session_id": 8183, "sequence_id": 451, "annotations": []}
{"role": "student", "content": "sorry, I like was not on it at all.", "session_id": 8183, "sequence_id": 452, "annotations": []}
{"role": "student", "content": "So", "session_id": 8183, "sequence_id": 453, "annotations": []}
{"role": "student", "content": "that's.", "session_id": 8183, "sequence_id": 454, "annotations": []}
{"role": "student", "content": "so", "session_id": 8183, "sequence_id": 455, "annotations": []}
{"role": "volunteer", "content": "No, it's fine. I was, I just wanted to see if I can figure it out because it should be possible on an iPhone.", "session_id": 8183, "sequence_id": 456, "annotations": []}
{"role": "volunteer", "content": "Yeah.", "session_id": 8183, "sequence_id": 457, "annotations": []}
{"role": "student", "content": "Yeah, cause like the buttons there.", "session_id": 8183, "sequence_id": 458, "annotations": []}
{"role": "student", "content": "So, yeah, I think, OK, so it was that little button right there, so with the 0.82.", "session_id": 8183, "sequence_id": 459, "annotations": []}
{"role": "volunteer", "content": "Yeah.", "session_id": 8183, "sequence_id": 460, "annotations": []}
{"role": "student", "content": "And then it was, what was the other button?", "session_id": 8183, "sequence_id": 461, "annotations": []}
{"role": "student", "content": "Oh", "session_id": 8183, "sequence_id": 462, "annotations": []}
{"role": "volunteer", "content": "The why through that button.", "session_id": 8183, "sequence_id": 463, "annotations": []}
{"role": "volunteer", "content": "and then type 6", "session_id": 8183, "sequence_id": 464, "annotations": []}
{"role": "student", "content": "it's not", "session_id": 8183, "sequence_id": 465, "annotations": []}
{"role": "student", "content": "I think I'm doing it. I think I'm the one doing it wrong.", "session_id": 8183, "sequence_id": 466, "annotations": []}
{"role": "student", "content": "Hold on", "session_id": 8183, "sequence_id": 467, "annotations": []}
{"role": "volunteer", "content": "OK, cause when I did it before, I got confused too. Um,", "session_id": 8183, "sequence_id": 468, "annotations": []}
{"role": "student", "content": "Yeah, I pressed the, the, the button, like it's there.", "session_id": 8183, "sequence_id": 469, "annotations": []}
{"role": "volunteer", "content": "uh-huh", "session_id": 8183, "sequence_id": 470, "annotations": []}
{"role": "student", "content": "Wait, I think, well, I'm gonna redo it.", "session_id": 8183, "sequence_id": 471, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 8183, "sequence_id": 472, "annotations": []}
{"role": "student", "content": "0.82", "session_id": 8183, "sequence_id": 473, "annotations": []}
{"role": "volunteer", "content": "Yup", "session_id": 8183, "sequence_id": 474, "annotations": []}
{"role": "student", "content": "and put the parenthesis to finish it.", "session_id": 8183, "sequence_id": 475, "annotations": []}
{"role": "student", "content": "3 and 6. Now I'm getting 0.92.", "session_id": 8183, "sequence_id": 476, "annotations": []}
{"role": "volunteer", "content": "Uh, close to what I got.", "session_id": 8183, "sequence_id": 477, "annotations": []}
{"role": "student", "content": "Let me, let me see on the calculator.", "session_id": 8183, "sequence_id": 478, "annotations": []}
{"role": "student", "content": "Maybe it's better like that. See if it actually works.", "session_id": 8183, "sequence_id": 479, "annotations": []}
{"role": "student", "content": "I do not wanna have to return this calculator.", "session_id": 8183, "sequence_id": 480, "annotations": []}
{"role": "student", "content": "Let's see", "session_id": 8183, "sequence_id": 481, "annotations": []}
{"role": "student", "content": "Uh, how do you do it on calculator on the TI 84.", "session_id": 8183, "sequence_id": 482, "annotations": []}
{"role": "volunteer", "content": "Um", "session_id": 8183, "sequence_id": 483, "annotations": []}
{"role": "student", "content": "Let me see", "session_id": 8183, "sequence_id": 484, "annotations": []}
{"role": "volunteer", "content": "I used to have that calculator, but I haven't used it in so long.", "session_id": 8183, "sequence_id": 485, "annotations": []}
{"role": "volunteer", "content": "Um", "session_id": 8183, "sequence_id": 486, "annotations": []}
{"role": "volunteer", "content": "I think there is like a pretty similar button for like why root X or something.", "session_id": 8183, "sequence_id": 487, "annotations": []}
{"role": "student", "content": "Yeah, there's a, a root square button, that's what I'm seeing right now, but", "session_id": 8183, "sequence_id": 488, "annotations": []}
{"role": "volunteer", "content": "Like it has 2", "session_id": 8183, "sequence_id": 489, "annotations": []}
{"role": "volunteer", "content": "or", "session_id": 8183, "sequence_id": 490, "annotations": []}
{"role": "volunteer", "content": "it's just a little.", "session_id": 8183, "sequence_id": 491, "annotations": []}
{"role": "student", "content": "no, it's just like a regular one", "session_id": 8183, "sequence_id": 492, "annotations": []}
{"role": "volunteer", "content": "There should be one that's like the root, but it has either like N or Y.", "session_id": 8183, "sequence_id": 493, "annotations": []}
{"role": "volunteer", "content": "before it", "session_id": 8183, "sequence_id": 494, "annotations": []}
{"role": "student", "content": "And or why", "session_id": 8183, "sequence_id": 495, "annotations": []}
{"role": "student", "content": "uh", "session_id": 8183, "sequence_id": 496, "annotations": []}
{"role": "volunteer", "content": "Yeah, so either like 10 root X or Y root X or something.", "session_id": 8183, "sequence_id": 497, "annotations": []}
{"role": "volunteer", "content": "Mhm", "session_id": 8183, "sequence_id": 498, "annotations": []}
{"role": "student", "content": "let me see. Well, I'm actually gonna need this for the test, so it's good that I'm actually trying to figure it out. Cause also I won't know it and I need this for my FRQs.", "session_id": 8183, "sequence_id": 499, "annotations": []}
{"role": "volunteer", "content": "Mm.", "session_id": 8183, "sequence_id": 500, "annotations": []}
{"role": "student", "content": "Uh, let's see if it works like", "session_id": 8183, "sequence_id": 501, "annotations": []}
{"role": "student", "content": "this way. Let's see.", "session_id": 8183, "sequence_id": 502, "annotations": []}
{"role": "student", "content": "Now it's giving me 5.4 again. The same thing UBT gave me.", "session_id": 8183, "sequence_id": 503, "annotations": []}
{"role": "volunteer", "content": "So", "session_id": 8183, "sequence_id": 504, "annotations": []}
{"role": "volunteer", "content": "OK, yeah, that's, that's not right. Um.", "session_id": 8183, "sequence_id": 505, "annotations": []}
{"role": "student", "content": "Mm", "session_id": 8183, "sequence_id": 506, "annotations": []}
{"role": "volunteer", "content": "wait, are you doing 0.82 to the sixth power.", "session_id": 8183, "sequence_id": 507, "annotations": []}
{"role": "student", "content": "I'm, I'm doing what's here.", "session_id": 8183, "sequence_id": 508, "annotations": []}
{"role": "student", "content": "Or is that wrong?", "session_id": 8183, "sequence_id": 509, "annotations": []}
{"role": "volunteer", "content": "OK, just stick through 0.82. OK. Uh, let's see, I did find my TI84. So, let me see if I can find the button.", "session_id": 8183, "sequence_id": 510, "annotations": []}
{"role": "volunteer", "content": "Um", "session_id": 8183, "sequence_id": 511, "annotations": []}
{"role": "student", "content": "Hold on, I think I can go on photo booth and then", "session_id": 8183, "sequence_id": 512, "annotations": []}
{"role": "student", "content": "show you my calculator", "session_id": 8183, "sequence_id": 513, "annotations": []}
{"role": "volunteer", "content": "Oh, OK", "session_id": 8183, "sequence_id": 514, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 8183, "sequence_id": 515, "annotations": []}
{"role": "student", "content": "Sorry", "session_id": 8183, "sequence_id": 516, "annotations": []}
{"role": "volunteer", "content": "Mm", "session_id": 8183, "sequence_id": 517, "annotations": []}
{"role": "student", "content": "Now I get flagged again.", "session_id": 8183, "sequence_id": 518, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 8183, "sequence_id": 519, "annotations": []}
{"role": "volunteer", "content": "What happened?", "session_id": 8183, "sequence_id": 520, "annotations": []}
{"role": "student", "content": "I got flagged again", "session_id": 8183, "sequence_id": 521, "annotations": []}
{"role": "volunteer", "content": "Oh, that's weird", "session_id": 8183, "sequence_id": 522, "annotations": []}
{"role": "student", "content": "Yeah, cause I, oh, I guess it's cause I was in it cause I was trying to show you the calculator.", "session_id": 8183, "sequence_id": 523, "annotations": []}
{"role": "volunteer", "content": "Oh", "session_id": 8183, "sequence_id": 524, "annotations": []}
{"role": "volunteer", "content": "Oh, I see, I see", "session_id": 8183, "sequence_id": 525, "annotations": []}
{"role": "volunteer", "content": "Um, OK, so, I can't find it on the TI 84, but you know how we were talking about how 6s through is the same thing as like 2 to 16.", "session_id": 8183, "sequence_id": 526, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 8183, "sequence_id": 527, "annotations": []}
{"role": "volunteer", "content": "I definitely know how to do to the 1/6 on a calculator.", "session_id": 8183, "sequence_id": 528, "annotations": []}
{"role": "student", "content": "Yeah.", "session_id": 8183, "sequence_id": 529, "annotations": []}
{"role": "volunteer", "content": "So do you want to try that instead?", "session_id": 8183, "sequence_id": 530, "annotations": []}
{"role": "student", "content": "Yeah, I think it might work better for my calculator cause this is being like really weird and", "session_id": 8183, "sequence_id": 531, "annotations": []}
{"role": "volunteer", "content": "Yeah, I know there should be a way to do it, but I can't remember off the top of my head, so.", "session_id": 8183, "sequence_id": 532, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 8183, "sequence_id": 533, "annotations": []}
{"role": "volunteer", "content": "probably just safer to know how to take anyway.", "session_id": 8183, "sequence_id": 534, "annotations": []}
{"role": "student", "content": "yeah, cause I can't see it on here as well, and", "session_id": 8183, "sequence_id": 535, "annotations": []}
{"role": "student", "content": "it's doing so much. That's so weird how it flagged to me though.", "session_id": 8183, "sequence_id": 536, "annotations": []}
{"role": "student", "content": "but yeah", "session_id": 8183, "sequence_id": 537, "annotations": []}
{"role": "student", "content": "So, what would I put in the calculator for it to be.", "session_id": 8183, "sequence_id": 538, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 8183, "sequence_id": 539, "annotations": []}
{"role": "volunteer", "content": "Yeah, so just do 0.82 um and then like the carrot.", "session_id": 8183, "sequence_id": 540, "annotations": []}
{"role": "student", "content": "car", "session_id": 8183, "sequence_id": 541, "annotations": []}
{"role": "volunteer", "content": "the exponent symbol", "session_id": 8183, "sequence_id": 542, "annotations": []}
{"role": "student", "content": "Oh, yeah, yeah, yeah", "session_id": 8183, "sequence_id": 543, "annotations": []}
{"role": "volunteer", "content": "Uh, yeah, so then that should bring like a little box", "session_id": 8183, "sequence_id": 544, "annotations": []}
{"role": "student", "content": "2016", "session_id": 8183, "sequence_id": 545, "annotations": []}
{"role": "volunteer", "content": "yeah, to the 16", "session_id": 8183, "sequence_id": 546, "annotations": []}
{"role": "student", "content": "0.96.", "session_id": 8183, "sequence_id": 547, "annotations": []}
{"role": "volunteer", "content": "Uh, yeah, probably rounds to 0.97, um.", "session_id": 8183, "sequence_id": 548, "annotations": []}
{"role": "student", "content": "Oh, yeah, yeah, yeah.", "session_id": 8183, "sequence_id": 549, "annotations": []}
{"role": "volunteer", "content": "I got like 0.967 maybe? Yeah.", "session_id": 8183, "sequence_id": 550, "annotations": []}
{"role": "student", "content": "67, yeah", "session_id": 8183, "sequence_id": 551, "annotations": []}
{"role": "volunteer", "content": "OK, cool. Um, any questions about that?", "session_id": 8183, "sequence_id": 552, "annotations": []}
{"role": "student", "content": "Mm, no", "session_id": 8183, "sequence_id": 553, "annotations": []}
{"role": "volunteer", "content": "OK.", "session_id": 8183, "sequence_id": 554, "annotations": []}
{"role": "student", "content": "I just, let me write that down.", "session_id": 8183, "sequence_id": 555, "annotations": []}
{"role": "volunteer", "content": "Cool.", "session_id": 8183, "sequence_id": 556, "annotations": []}
{"role": "student", "content": "Uh", "session_id": 8183, "sequence_id": 557, "annotations": []}
{"role": "student", "content": "cause it's", "session_id": 8183, "sequence_id": 558, "annotations": []}
{"role": "student", "content": "I want it to actually be able to", "session_id": 8183, "sequence_id": 559, "annotations": []}
{"role": "student", "content": "do it", "session_id": 8183, "sequence_id": 560, "annotations": []}
{"role": "volunteer", "content": "Yeah.", "session_id": 8183, "sequence_id": 561, "annotations": []}
{"role": "student", "content": "quickly.", "session_id": 8183, "sequence_id": 562, "annotations": []}
{"role": "student", "content": "OK, got it", "session_id": 8183, "sequence_id": 563, "annotations": []}
{"role": "student", "content": "So, it would, so B would equal", "session_id": 8183, "sequence_id": 564, "annotations": []}
{"role": "volunteer", "content": "Mhm", "session_id": 8183, "sequence_id": 565, "annotations": []}
{"role": "student", "content": "96. You know what? That's funny cause that's what I got when I guessed, cause I was just putting in numbers, and then my calculator was saying I was wrong.", "session_id": 8183, "sequence_id": 566, "annotations": []}
{"role": "student", "content": "You know has", "session_id": 8183, "sequence_id": 567, "annotations": []}
{"role": "student", "content": "yeah.", "session_id": 8183, "sequence_id": 568, "annotations": []}
{"role": "volunteer", "content": "Um, OK, let's, let's do 0.97 just because that's how it rounds. Um, I don't know how picky your teacher would be, but", "session_id": 8183, "sequence_id": 569, "annotations": []}
{"role": "student", "content": "mm, my", "session_id": 8183, "sequence_id": 570, "annotations": []}
{"role": "volunteer", "content": "some people would mark that long, so.", "session_id": 8183, "sequence_id": 571, "annotations": []}
{"role": "student", "content": "I don't, I don't know. I think", "session_id": 8183, "sequence_id": 572, "annotations": []}
{"role": "student", "content": "if anything, I can just explain to him about my calculator.", "session_id": 8183, "sequence_id": 573, "annotations": []}
{"role": "student", "content": "or something", "session_id": 8183, "sequence_id": 574, "annotations": []}
{"role": "volunteer", "content": "Yeah, um, but like just 0.967 or just 0.97 would be better to be safe.", "session_id": 8183, "sequence_id": 575, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 8183, "sequence_id": 576, "annotations": []}
{"role": "student", "content": "All right, let's, he usually just lets us do like", "session_id": 8183, "sequence_id": 577, "annotations": []}
{"role": "student", "content": "as well,", "session_id": 8183, "sequence_id": 578, "annotations": []}
{"role": "student", "content": "whichever one's more accurate", "session_id": 8183, "sequence_id": 579, "annotations": []}
{"role": "volunteer", "content": "Uh", "session_id": 8183, "sequence_id": 580, "annotations": []}
{"role": "student", "content": "Um.", "session_id": 8183, "sequence_id": 581, "annotations": []}
{"role": "student", "content": "on the thing", "session_id": 8183, "sequence_id": 582, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 8183, "sequence_id": 583, "annotations": []}
{"role": "volunteer", "content": "That's fine then.", "session_id": 8183, "sequence_id": 584, "annotations": []}
{"role": "student", "content": "Let me see. Sorry.", "session_id": 8183, "sequence_id": 585, "annotations": []}
{"role": "student", "content": "I don't wanna be like too nitpicky, I just don't wanna, I wanna get like a bad grade.", "session_id": 8183, "sequence_id": 586, "annotations": []}
{"role": "student", "content": "cause", "session_id": 8183, "sequence_id": 587, "annotations": []}
{"role": "volunteer", "content": "No, it's fine. Usually, if you write more digits, no one will care. Um, it's just like less that's the issue.", "session_id": 8183, "sequence_id": 588, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 8183, "sequence_id": 589, "annotations": []}
{"role": "student", "content": "OK, it gave me 24.19. OK, let me see uh 97.", "session_id": 8183, "sequence_id": 590, "annotations": []}
{"role": "volunteer", "content": "Wait, what is this called", "session_id": 8183, "sequence_id": 591, "annotations": []}
{"role": "student", "content": "See if that works better", "session_id": 8183, "sequence_id": 592, "annotations": []}
{"role": "student", "content": "There's just, um, to see if, um, when it's uh", "session_id": 8183, "sequence_id": 593, "annotations": []}
{"role": "student", "content": "like if it'll give me the, I'm doing cause I'm", "session_id": 8183, "sequence_id": 594, "annotations": []}
{"role": "volunteer", "content": "Oh, like you're plugging it back instantly.", "session_id": 8183, "sequence_id": 595, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 8183, "sequence_id": 596, "annotations": []}
{"role": "volunteer", "content": "OK.", "session_id": 8183, "sequence_id": 597, "annotations": []}
{"role": "student", "content": "OK, I got", "session_id": 8183, "sequence_id": 598, "annotations": []}
{"role": "student", "content": "they're wrong.", "session_id": 8183, "sequence_id": 599, "annotations": []}
{"role": "student", "content": "answer again", "session_id": 8183, "sequence_id": 600, "annotations": []}
{"role": "volunteer", "content": "OK, so you have A times B x and you're checking if it equals Y.", "session_id": 8183, "sequence_id": 601, "annotations": []}
{"role": "student", "content": "I'm trying to see if it", "session_id": 8183, "sequence_id": 602, "annotations": []}
{"role": "student", "content": "can equal the", "session_id": 8183, "sequence_id": 603, "annotations": []}
{"role": "student", "content": "weight", "session_id": 8183, "sequence_id": 604, "annotations": []}
{"role": "student", "content": "I think I was doing it wrong, cause I was putting the", "session_id": 8183, "sequence_id": 605, "annotations": []}
{"role": "student", "content": "the for the exponent, I was putting in the 15 and I got 15 again.", "session_id": 8183, "sequence_id": 606, "annotations": []}
{"role": "volunteer", "content": "You put in 15, like for the X funnel.", "session_id": 8183, "sequence_id": 607, "annotations": []}
{"role": "student", "content": "Like, like I couldn't, I, yeah, I put in", "session_id": 8183, "sequence_id": 608, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 8183, "sequence_id": 609, "annotations": []}
{"role": "student", "content": "25097", "session_id": 8183, "sequence_id": 610, "annotations": []}
{"role": "student", "content": "to the power of 15", "session_id": 8183, "sequence_id": 611, "annotations": []}
{"role": "volunteer", "content": "OK. And what did you get?", "session_id": 8183, "sequence_id": 612, "annotations": []}
{"role": "student", "content": "15.83", "session_id": 8183, "sequence_id": 613, "annotations": []}
{"role": "volunteer", "content": "OK. Um,", "session_id": 8183, "sequence_id": 614, "annotations": []}
{"role": "student", "content": "That feels like calculator or if it was me.", "session_id": 8183, "sequence_id": 615, "annotations": []}
{"role": "volunteer", "content": "no, that seems fine. And what is it supposed to be in the problem?", "session_id": 8183, "sequence_id": 616, "annotations": []}
{"role": "student", "content": "It's supposed to be 13.5.", "session_id": 8183, "sequence_id": 617, "annotations": []}
{"role": "volunteer", "content": "Hm, OK", "session_id": 8183, "sequence_id": 618, "annotations": []}
{"role": "student", "content": "But if you have a calculator, can you try to see if you get the same thing.", "session_id": 8183, "sequence_id": 619, "annotations": []}
{"role": "volunteer", "content": "Yeah, I just said 25 times 0.967 to the 15.", "session_id": 8183, "sequence_id": 620, "annotations": []}
{"role": "volunteer", "content": "And I got like 15", "session_id": 8183, "sequence_id": 621, "annotations": []}
{"role": "volunteer", "content": "Um,", "session_id": 8183, "sequence_id": 622, "annotations": []}
{"role": "student", "content": "Oh, OK. So I guess it's", "session_id": 8183, "sequence_id": 623, "annotations": []}
{"role": "student", "content": "I guess it's the question being what it done.", "session_id": 8183, "sequence_id": 624, "annotations": []}
{"role": "volunteer", "content": "can you, can you like show me the table again?", "session_id": 8183, "sequence_id": 625, "annotations": []}
{"role": "student", "content": "Yeah, I don't know if it's showing.", "session_id": 8183, "sequence_id": 626, "annotations": []}
{"role": "student", "content": "Is it showing?", "session_id": 8183, "sequence_id": 627, "annotations": []}
{"role": "volunteer", "content": "Uh, not right now, no.", "session_id": 8183, "sequence_id": 628, "annotations": []}
{"role": "student", "content": "A window", "session_id": 8183, "sequence_id": 629, "annotations": []}
{"role": "student", "content": "share screen", "session_id": 8183, "sequence_id": 630, "annotations": []}
{"role": "student", "content": "That's because they took it away cause I was", "session_id": 8183, "sequence_id": 631, "annotations": []}
{"role": "student", "content": "showing my, my thing.", "session_id": 8183, "sequence_id": 632, "annotations": []}
{"role": "volunteer", "content": "Uh", "session_id": 8183, "sequence_id": 633, "annotations": []}
{"role": "volunteer", "content": "right", "session_id": 8183, "sequence_id": 634, "annotations": []}
{"role": "student", "content": "my calculator on photo booth.", "session_id": 8183, "sequence_id": 635, "annotations": []}
{"role": "student", "content": "And they were like, no.", "session_id": 8183, "sequence_id": 636, "annotations": []}
{"role": "volunteer", "content": "Mhm", "session_id": 8183, "sequence_id": 637, "annotations": []}
{"role": "volunteer", "content": "Yeah. OK.", "session_id": 8183, "sequence_id": 638, "annotations": []}
{"role": "volunteer", "content": "Uh", "session_id": 8183, "sequence_id": 639, "annotations": []}
{"role": "volunteer", "content": "mhm", "session_id": 8183, "sequence_id": 640, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 8183, "sequence_id": 641, "annotations": []}
{"role": "volunteer", "content": "is the", "session_id": 8183, "sequence_id": 642, "annotations": []}
{"role": "volunteer", "content": "hm", "session_id": 8183, "sequence_id": 643, "annotations": []}
{"role": "student", "content": "are", "session_id": 8183, "sequence_id": 644, "annotations": []}
{"role": "student", "content": "are you also getting 15.", "session_id": 8183, "sequence_id": 645, "annotations": []}
{"role": "volunteer", "content": "Let me just test it first value. Yeah, I am.", "session_id": 8183, "sequence_id": 646, "annotations": []}
{"role": "student", "content": "83", "session_id": 8183, "sequence_id": 647, "annotations": []}
{"role": "student", "content": "OK, so, oh, so I thought it was my calheer this whole time. Turns out, OK.", "session_id": 8183, "sequence_id": 648, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 8183, "sequence_id": 649, "annotations": []}
{"role": "student", "content": "I guess my cafe is fine then.", "session_id": 8183, "sequence_id": 650, "annotations": []}
{"role": "volunteer", "content": "Mhm.", "session_id": 8183, "sequence_id": 651, "annotations": []}
{"role": "student", "content": "I mean, I can try putting it in in like a in", "session_id": 8183, "sequence_id": 652, "annotations": []}
{"role": "student", "content": "how he taught us and see if I got some, like the same thing.", "session_id": 8183, "sequence_id": 653, "annotations": []}
{"role": "student", "content": "But I don't think I'm gonna get the same thing.", "session_id": 8183, "sequence_id": 654, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 8183, "sequence_id": 655, "annotations": []}
{"role": "volunteer", "content": "Um", "session_id": 8183, "sequence_id": 656, "annotations": []}
{"role": "volunteer", "content": "Mhm", "session_id": 8183, "sequence_id": 657, "annotations": []}
{"role": "volunteer", "content": "Mhm", "session_id": 8183, "sequence_id": 658, "annotations": []}
{"role": "student", "content": "because what he told us to do, cause I have a TI 84 + CE Python. That's the one with the digital screen, so it has more errors sometimes.", "session_id": 8183, "sequence_id": 659, "annotations": []}
{"role": "student", "content": "Like if you're not really careful with it", "session_id": 8183, "sequence_id": 660, "annotations": []}
{"role": "student", "content": "But let me, I'll see what, I'll see what it gives me for like the, the A and the B.", "session_id": 8183, "sequence_id": 661, "annotations": []}
{"role": "volunteer", "content": "OK. Um, yeah, we can, we can try that", "session_id": 8183, "sequence_id": 662, "annotations": []}
{"role": "student", "content": "and see if it's like", "session_id": 8183, "sequence_id": 663, "annotations": []}
{"role": "student", "content": "close at least", "session_id": 8183, "sequence_id": 664, "annotations": []}
{"role": "student", "content": "because this is how he taught us, but then again, like,", "session_id": 8183, "sequence_id": 665, "annotations": []}
{"role": "student", "content": "I don't know what's going on. I mean, if anything, I could, I could just ask him.", "session_id": 8183, "sequence_id": 666, "annotations": []}
{"role": "volunteer", "content": "Mhm", "session_id": 8183, "sequence_id": 667, "annotations": []}
{"role": "student", "content": "But this is just like two questions out of the whole quiz that we're having.", "session_id": 8183, "sequence_id": 668, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 8183, "sequence_id": 669, "annotations": []}
{"role": "student", "content": "But I still want to get it right", "session_id": 8183, "sequence_id": 670, "annotations": []}
{"role": "volunteer", "content": "Yeah.", "session_id": 8183, "sequence_id": 671, "annotations": []}
{"role": "student", "content": "cause I have a D in the class.", "session_id": 8183, "sequence_id": 672, "annotations": []}
{"role": "student", "content": "You can tell math is not my forte.", "session_id": 8183, "sequence_id": 673, "annotations": []}
{"role": "volunteer", "content": "OK. Um, let me just check this out and see if I", "session_id": 8183, "sequence_id": 674, "annotations": []}
{"role": "volunteer", "content": "need", "session_id": 8183, "sequence_id": 675, "annotations": []}
{"role": "student", "content": "Let me see. OK", "session_id": 8183, "sequence_id": 676, "annotations": []}
{"role": "student", "content": "I saved it", "session_id": 8183, "sequence_id": 677, "annotations": []}
{"role": "student", "content": "to sat calc 0.", "session_id": 8183, "sequence_id": 678, "annotations": []}
{"role": "student", "content": "um", "session_id": 8183, "sequence_id": 679, "annotations": []}
{"role": "student", "content": "a trace", "session_id": 8183, "sequence_id": 680, "annotations": []}
{"role": "student", "content": "51", "session_id": 8183, "sequence_id": 681, "annotations": []}
{"role": "student", "content": "Mm.", "session_id": 8183, "sequence_id": 682, "annotations": []}
{"role": "student", "content": "do not start going wrong on me.", "session_id": 8183, "sequence_id": 683, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 8183, "sequence_id": 684, "annotations": []}
{"role": "student", "content": "It says quit", "session_id": 8183, "sequence_id": 685, "annotations": []}
{"role": "student", "content": "A dimension mismatch.", "session_id": 8183, "sequence_id": 686, "annotations": []}
{"role": "student", "content": "Oh, well, it's just, it's supposed to be exponential regression.", "session_id": 8183, "sequence_id": 687, "annotations": []}
{"role": "volunteer", "content": "Mhm", "session_id": 8183, "sequence_id": 688, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 8183, "sequence_id": 689, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 8183, "sequence_id": 690, "annotations": []}
{"role": "student", "content": "Yeah, and that's what I'm putting in, but it's saying", "session_id": 8183, "sequence_id": 691, "annotations": []}
{"role": "student", "content": "it doesn't work", "session_id": 8183, "sequence_id": 692, "annotations": []}
{"role": "student", "content": "How?", "session_id": 8183, "sequence_id": 693, "annotations": []}
{"role": "volunteer", "content": "Mhm", "session_id": 8183, "sequence_id": 694, "annotations": []}
{"role": "student", "content": "Um", "session_id": 8183, "sequence_id": 695, "annotations": []}
{"role": "student", "content": "program", "session_id": 8183, "sequence_id": 696, "annotations": []}
{"role": "student", "content": "not program", "session_id": 8183, "sequence_id": 697, "annotations": []}
{"role": "student", "content": "stat", "session_id": 8183, "sequence_id": 698, "annotations": []}
{"role": "student", "content": "Sorry, this is like a waste of your time.", "session_id": 8183, "sequence_id": 699, "annotations": []}
{"role": "volunteer", "content": "It's OK. Um, I'm also pulling it up on my calculator. I also have a TI8D4 plus CE, so.", "session_id": 8183, "sequence_id": 700, "annotations": []}
{"role": "student", "content": "OK", "session_id": 8183, "sequence_id": 701, "annotations": []}
{"role": "volunteer", "content": "uh, let me see if I can figure it out.", "session_id": 8183, "sequence_id": 702, "annotations": []}
{"role": "student", "content": "See, I added a whole different number that I didn't add on to it.", "session_id": 8183, "sequence_id": 703, "annotations": []}
{"role": "student", "content": "I don't know where I got that", "session_id": 8183, "sequence_id": 704, "annotations": []}
{"role": "student", "content": "Like, I don't know if it's something I'm doing or if it's the calculator itself.", "session_id": 8183, "sequence_id": 705, "annotations": []}
{"role": "student", "content": "I mean, it has to be no", "session_id": 8183, "sequence_id": 706, "annotations": []}
{"role": "volunteer", "content": "Yeah. Mm.", "session_id": 8183, "sequence_id": 707, "annotations": []}
{"role": "student", "content": "Cause it's getting like whole different numbers that I didn't put in there.", "session_id": 8183, "sequence_id": 708, "annotations": []}
{"role": "volunteer", "content": "Mhm", "session_id": 8183, "sequence_id": 709, "annotations": []}
{"role": "student", "content": "OK, I got", "session_id": 8183, "sequence_id": 710, "annotations": []}
{"role": "student", "content": "2 whole different numbers.", "session_id": 8183, "sequence_id": 711, "annotations": []}
{"role": "volunteer", "content": "Mhm", "session_id": 8183, "sequence_id": 712, "annotations": []}
{"role": "volunteer", "content": "OK, what do you got", "session_id": 8183, "sequence_id": 713, "annotations": []}
{"role": "student", "content": "I got 4", "session_id": 8183, "sequence_id": 714, "annotations": []}
{"role": "student", "content": "I make sure everything's right on there first.", "session_id": 8183, "sequence_id": 715, "annotations": []}
{"role": "student", "content": "Yeah, I got, OK.", "session_id": 8183, "sequence_id": 716, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 8183, "sequence_id": 717, "annotations": []}
{"role": "student", "content": "Hold on, cause I like exited out of it real quick.", "session_id": 8183, "sequence_id": 718, "annotations": []}
{"role": "student", "content": "But I got", "session_id": 8183, "sequence_id": 719, "annotations": []}
{"role": "student", "content": "30 for A, 31.60.", "session_id": 8183, "sequence_id": 720, "annotations": []}
{"role": "volunteer", "content": "Mhm", "session_id": 8183, "sequence_id": 721, "annotations": []}
{"role": "student", "content": "And for B 0.92.", "session_id": 8183, "sequence_id": 722, "annotations": []}
{"role": "volunteer", "content": "OK. So, actually, so for this one,", "session_id": 8183, "sequence_id": 723, "annotations": []}
{"role": "volunteer", "content": "uh if you just plot it on like your calculator or whatever, um, it's not like exactly exponential, which is why they call it like a model.", "session_id": 8183, "sequence_id": 724, "annotations": []}
{"role": "volunteer", "content": "Um, so actually when you plug in like X and Y, you won't get the exact same values for um that are in the table, and that's like expected. Um,", "session_id": 8183, "sequence_id": 725, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 8183, "sequence_id": 726, "annotations": []}
{"role": "student", "content": "OK", "session_id": 8183, "sequence_id": 727, "annotations": []}
{"role": "volunteer", "content": "uh, so like when you were saying before, you got 15, we got 15 and it's supposed to be 13. That's actually fine because uh the model isn't perfect. Um, the one on your graphing calculator will be a little bit better, um, because depending on which like X and Y points you use, you'll get slightly different answers. Um", "session_id": 8183, "sequence_id": 728, "annotations": []}
{"role": "volunteer", "content": "and like, that's completely fine. It just means it's not perfectly exponential. It's like just a model. Does that make sense?", "session_id": 8183, "sequence_id": 729, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 8183, "sequence_id": 730, "annotations": []}
{"role": "volunteer", "content": "So, as long as you show your work on how you got A and B.", "session_id": 8183, "sequence_id": 731, "annotations": []}
{"role": "student", "content": "Mhm", "session_id": 8183, "sequence_id": 732, "annotations": []}
{"role": "volunteer", "content": "I'm pretty sure you'll be fine on credit, but the reason you have to use like how you're like you only learned how to do it with a graphing calculator in in class is because you can't really do it by hand.", "session_id": 8183, "sequence_id": 733, "annotations": []}
{"role": "student", "content": "Mm, yeah", "session_id": 8183, "sequence_id": 734, "annotations": []}
{"role": "volunteer", "content": "So it's completely fine that you're not getting like the exact same values if you plug in X and calculate it using your A and B.", "session_id": 8183, "sequence_id": 735, "annotations": []}
{"role": "student", "content": "Mhm", "session_id": 8183, "sequence_id": 736, "annotations": []}
{"role": "volunteer", "content": "Does that make sense", "session_id": 8183, "sequence_id": 737, "annotations": []}
{"role": "student", "content": "OK, OK", "session_id": 8183, "sequence_id": 738, "annotations": []}
{"role": "student", "content": "Yeah, yeah", "session_id": 8183, "sequence_id": 739, "annotations": []}
{"role": "volunteer", "content": "Cool", "session_id": 8183, "sequence_id": 740, "annotations": []}
{"role": "student", "content": "So when we go based off the cal so would we just like put in the thing.", "session_id": 8183, "sequence_id": 741, "annotations": []}
{"role": "student", "content": "Mhm", "session_id": 8183, "sequence_id": 742, "annotations": []}
{"role": "volunteer", "content": "Yeah, so I think you should go based off the calculator because that's like a proper regression model, and that's what you did in class.", "session_id": 8183, "sequence_id": 743, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 8183, "sequence_id": 744, "annotations": []}
{"role": "volunteer", "content": "Um", "session_id": 8183, "sequence_id": 745, "annotations": []}
{"role": "student", "content": "I mean, if anything, do you think I should just ask him tomorrow just in case?", "session_id": 8183, "sequence_id": 746, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 8183, "sequence_id": 747, "annotations": []}
{"role": "volunteer", "content": "yeah, you can, you can ask just in case, um, to make sure this is like what you're expected to do. Um, I was a little unsure because I guess it depends. Usually you don't use the graphing calculator for this in precalc. It's more of like a stats thing", "session_id": 8183, "sequence_id": 748, "annotations": []}
{"role": "volunteer", "content": "um,", "session_id": 8183, "sequence_id": 749, "annotations": []}
{"role": "student", "content": "Well, this is AP so I don't know if it's like, if that makes any difference.", "session_id": 8183, "sequence_id": 750, "annotations": []}
{"role": "volunteer", "content": "yeah, I don't know. Um, we didn'Our High School.", "session_id": 8183, "sequence_id": 751, "annotations": [{"pii_type": "SCHOOL", "surrogate": "Our High School", "start": 32, "end": 47}]}
{"role": "volunteer", "content": "um", "session_id": 8183, "sequence_id": 752, "annotations": []}
{"role": "student", "content": "Oh", "session_id": 8183, "sequence_id": 753, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 8183, "sequence_id": 754, "annotations": []}
{"role": "volunteer", "content": "we had Mr. Davis and AP staffs.", "session_id": 8183, "sequence_id": 755, "annotations": [{"pii_type": "PERSON", "surrogate": "Mr. Davis", "start": 7, "end": 16}]}
{"role": "volunteer", "content": "Yeah", "session_id": 8183, "sequence_id": 756, "annotations": []}
{"role": "student", "content": "Yeah, cause this, yes, is like a new thing, like, most colleges don't even get the credit.", "session_id": 8183, "sequence_id": 757, "annotations": []}
{"role": "student", "content": "Yeah.", "session_id": 8183, "sequence_id": 758, "annotations": []}
{"role": "volunteer", "content": "Yeah, so, uh, yeah, it's probably better to ask. I mean, you know how to do it both ways now. Um, but probably just ask and make sure.", "session_id": 8183, "sequence_id": 759, "annotations": []}
{"role": "student", "content": "Right, cause then once I have the equation, I could probably", "session_id": 8183, "sequence_id": 760, "annotations": []}
{"role": "student", "content": "just like fill in numbers, you know, like for, for the X.", "session_id": 8183, "sequence_id": 761, "annotations": []}
{"role": "volunteer", "content": "Mhm. Yeah", "session_id": 8183, "sequence_id": 762, "annotations": []}
{"role": "student", "content": "Mhm.", "session_id": 8183, "sequence_id": 763, "annotations": []}
{"role": "student", "content": "cause I, I like pretty much get it, but I just", "session_id": 8183, "sequence_id": 764, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 8183, "sequence_id": 765, "annotations": []}
{"role": "student", "content": "I just wanna make sure with them cause I get the rest. I think, I mean, I, I haven't really looked at them, but when we're doing them on in class, I mean it was pretty easy.", "session_id": 8183, "sequence_id": 766, "annotations": []}
{"role": "volunteer", "content": "OK. Yeah. So,", "session_id": 8183, "sequence_id": 767, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 8183, "sequence_id": 768, "annotations": []}
{"role": "volunteer", "content": "cool. Um, did you have any other like questions about this topic?", "session_id": 8183, "sequence_id": 769, "annotations": []}
{"role": "student", "content": "Uh", "session_id": 8183, "sequence_id": 770, "annotations": []}
{"role": "student", "content": "not, not that I can think of right now.", "session_id": 8183, "sequence_id": 771, "annotations": []}
{"role": "volunteer", "content": "OK, cool. Um, if you think of something else, I'm sure another shooter could probably help too.", "session_id": 8183, "sequence_id": 772, "annotations": []}
{"role": "student", "content": "Yeah, the rest is like", "session_id": 8183, "sequence_id": 773, "annotations": []}
{"role": "student", "content": "I mean, I guess I'll just ask him to see like,", "session_id": 8183, "sequence_id": 774, "annotations": []}
{"role": "student", "content": "cause like number 5, we kind of did it in class.", "session_id": 8183, "sequence_id": 775, "annotations": []}
{"role": "volunteer", "content": "Mhm", "session_id": 8183, "sequence_id": 776, "annotations": []}
{"role": "student", "content": "It's just like", "session_id": 8183, "sequence_id": 777, "annotations": []}
{"role": "student", "content": "exponential growth, which", "session_id": 8183, "sequence_id": 778, "annotations": []}
{"role": "student", "content": "that is just the exponential growth thing.", "session_id": 8183, "sequence_id": 779, "annotations": []}
{"role": "volunteer", "content": "Mhm", "session_id": 8183, "sequence_id": 780, "annotations": []}
{"role": "student", "content": "So it's not that hard.", "session_id": 8183, "sequence_id": 781, "annotations": []}
{"role": "student", "content": "I just gotta remember the formulas.", "session_id": 8183, "sequence_id": 782, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 8183, "sequence_id": 783, "annotations": []}
{"role": "student", "content": "but yeah, I'll ask him, I'll ask him tomorrow, um.", "session_id": 8183, "sequence_id": 784, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 8183, "sequence_id": 785, "annotations": []}
{"role": "student", "content": "yeah.", "session_id": 8183, "sequence_id": 786, "annotations": []}
{"role": "student", "content": "All right. Thank you so much", "session_id": 8183, "sequence_id": 787, "annotations": []}
{"role": "volunteer", "content": "Yeah, of course. I can help", "session_id": 8183, "sequence_id": 788, "annotations": []}
{"role": "volunteer", "content": "Good luck. Thank you", "session_id": 8183, "sequence_id": 789, "annotations": []}
{"role": "student", "content": "You too", "session_id": 8183, "sequence_id": 790, "annotations": []}
{"role": "student", "content": "Hello! I want to do some practice problems from the PDF. I was wondering if you could rewrite out the problem with different numbers but same format. Currently on page 2, problem 10. Here's the link to the pdf: example.com/math_problems.pdf", "session_id": 8249, "sequence_id": 0, "annotations": [{"pii_type": "URL", "surrogate": "example.com/math_problems.pdf", "start": 211, "end": 240}]}
{"role": "volunteer", "content": "Hey Liam, yeah I can help you with this. Do you have a test or quiz coming soon?", "session_id": 8249, "sequence_id": 1, "annotations": [{"pii_type": "PERSON", "surrogate": "Liam", "start": 4, "end": 8}]}
{"role": "student", "content": "Yes", "session_id": 8249, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "Friday", "session_id": 8249, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "Awesome. You are going to do fantastic I am sure. I can give a  new problem", "session_id": 8249, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "I want one like #10", "session_id": 8249, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "its on page 2", "session_id": 8249, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "Thanks Ms. Davis on paper rn", "session_id": 8249, "sequence_id": 7, "annotations": [{"pii_type": "PERSON", "surrogate": "Ms. Davis", "start": 7, "end": 16}]}
{"role": "volunteer", "content": "want to try and tackle this problem", "session_id": 8249, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "so far i have", "session_id": 8249, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "14x^2-x-15=0 is this right so far", "session_id": 8249, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 8249, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "kk", "session_id": 8249, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "question 10, is like the easier ones but you just are first combining like terms before solving the quadratic by factoring", "session_id": 8249, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "x=-1,15/14", "session_id": 8249, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "I got X = -1. X= 15/14", "session_id": 8249, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "yes exactly", "session_id": 8249, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "yep", "session_id": 8249, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "awesome", "session_id": 8249, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "now 11 page 3", "session_id": 8249, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "let me know what you get", "session_id": 8249, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "kk", "session_id": 8249, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "one sec", "session_id": 8249, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "you dont need to solve for x all the way through but leave it in a form that you would put into the calculator", "session_id": 8249, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "sorry about the wait", "session_id": 8249, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "no worries", "session_id": 8249, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "is that Ms. Davis?", "session_id": 8249, "sequence_id": 26, "annotations": [{"pii_type": "PERSON", "surrogate": "Ms. Davis", "start": 8, "end": 17}]}
{"role": "volunteer", "content": "3", "session_id": 8249, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "k", "session_id": 8249, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "how is it going? is this one causing some trouble", "session_id": 8249, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "Hey Liam, are you still present?", "session_id": 8249, "sequence_id": 30, "annotations": [{"pii_type": "PERSON", "surrogate": "Liam", "start": 4, "end": 8}]}
{"role": "student", "content": "I have to leave ill request back when home", "session_id": 8249, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "okay sounds great have a good one i hope this was helpful", "session_id": 8249, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "Hi", "session_id": 1412, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "Hi", "session_id": 1412, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "how can I help you today?", "session_id": 1412, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": ":)", "session_id": 1412, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "I\u2019m Having trouble figuring out the last step of question 38. I posted 2 pictures of the problem in the whiteboard", "session_id": 1412, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 1412, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "I\u2019m not sure if I did it right though", "session_id": 1412, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "you did it right", "session_id": 1412, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "the red part is right", "session_id": 1412, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "Ah ok", "session_id": 1412, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "but why did you get the blue part?", "session_id": 1412, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "Because I cross multiplied", "session_id": 1412, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "Was that wrong?", "session_id": 1412, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 1412, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "well then how do you think you're going to solv it?", "session_id": 1412, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "I think you're missing something there", "session_id": 1412, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "can you find it?", "session_id": 1412, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "don't see", "session_id": 1412, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "I have no clue", "session_id": 1412, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "Im just stuck", "session_id": 1412, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "so after cross multiple", "session_id": 1412, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "you will have the 2 equal to each other", "session_id": 1412, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "remember?", "session_id": 1412, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "Oo", "session_id": 1412, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "so", "session_id": 1412, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "You set them equal?", "session_id": 1412, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 1412, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "so", "session_id": 1412, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "let's do that", "session_id": 1412, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "Ok", "session_id": 1412, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "correct", "session_id": 1412, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "So do I distribute the power of 2 to x and 3?", "session_id": 1412, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 1412, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "wait", "session_id": 1412, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "?", "session_id": 1412, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "you remember how to expand the square the sum", "session_id": 1412, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "sorry my internet just got stuck", "session_id": 1412, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "No", "session_id": 1412, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "It\u2019s ok", "session_id": 1412, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "you see my hand writing?", "session_id": 1412, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 1412, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "So what do I do?", "session_id": 1412, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "so, distribute it useing this formula", "session_id": 1412, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "Ahh Alr", "session_id": 1412, "sequence_id": 43, "annotations": []}
{"role": "student", "content": "Is that right?", "session_id": 1412, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "why do you have a x^2 for the 2ab term?", "session_id": 1412, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "O I\u2019ll erase it", "session_id": 1412, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "good, so now we have", "session_id": 1412, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "let's combine like term", "session_id": 1412, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "wait", "session_id": 1412, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "lets first simplify the terms", "session_id": 1412, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "the 2 terms in red, let's do the calculations we can do first", "session_id": 1412, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "I still have no clue how to add those", "session_id": 1412, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "not adding them", "session_id": 1412, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "calculate 3^2, and 2*3 first", "session_id": 1412, "sequence_id": 54, "annotations": []}
{"role": "student", "content": "Oo", "session_id": 1412, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "to simplify the terms", "session_id": 1412, "sequence_id": 56, "annotations": []}
{"role": "student", "content": "9 and 6", "session_id": 1412, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 1412, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "so we have this now", "session_id": 1412, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "make sence?", "session_id": 1412, "sequence_id": 60, "annotations": []}
{"role": "student", "content": "Ben", "session_id": 1412, "sequence_id": 61, "annotations": [{"pii_type": "PERSON", "surrogate": "Ben", "start": 0, "end": 3}]}
{"role": "volunteer", "content": "now, let's combine like terms", "session_id": 1412, "sequence_id": 62, "annotations": []}
{"role": "student", "content": "Ok", "session_id": 1412, "sequence_id": 63, "annotations": []}
{"role": "student", "content": "So we have x^2+9=6x", "session_id": 1412, "sequence_id": 64, "annotations": []}
{"role": "student", "content": "What now", "session_id": 1412, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "correct", "session_id": 1412, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "then we solve it", "session_id": 1412, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "you know how to solve a quadratic equation?", "session_id": 1412, "sequence_id": 68, "annotations": []}
{"role": "student", "content": "Na", "session_id": 1412, "sequence_id": 69, "annotations": []}
{"role": "student", "content": "Is that factoring?", "session_id": 1412, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "that's one way", "session_id": 1412, "sequence_id": 71, "annotations": []}
{"role": "student", "content": "What\u2019s the easiest way", "session_id": 1412, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "you want to try factoring it?", "session_id": 1412, "sequence_id": 73, "annotations": []}
{"role": "student", "content": "Please could u write it on the whiteboard", "session_id": 1412, "sequence_id": 74, "annotations": []}
{"role": "student", "content": "Cuz I gotta go to bed real soon", "session_id": 1412, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "you should practice doing it, and I help in when you get stuck", "session_id": 1412, "sequence_id": 76, "annotations": []}
{"role": "student", "content": "Alr I\u2019ll do this tmrw can I contact u again?", "session_id": 1412, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "I think you can go to the session history", "session_id": 1412, "sequence_id": 78, "annotations": []}
{"role": "student", "content": "Ah ok", "session_id": 1412, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "but it's actually not hard", "session_id": 1412, "sequence_id": 80, "annotations": []}
{"role": "volunteer", "content": "it basically the last step", "session_id": 1412, "sequence_id": 81, "annotations": []}
{"role": "student", "content": "O so I factor and then I\u2019ll get 2 x values right?", "session_id": 1412, "sequence_id": 82, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 1412, "sequence_id": 83, "annotations": []}
{"role": "student", "content": "And which ones right?", "session_id": 1412, "sequence_id": 84, "annotations": []}
{"role": "volunteer", "content": "only the positive ones will be resonable", "session_id": 1412, "sequence_id": 85, "annotations": []}
{"role": "student", "content": "Ok", "session_id": 1412, "sequence_id": 86, "annotations": []}
{"role": "student", "content": "Thank you so much", "session_id": 1412, "sequence_id": 87, "annotations": []}
{"role": "volunteer", "content": "cause you can't have a negetive legth, right", "session_id": 1412, "sequence_id": 88, "annotations": []}
{"role": "student", "content": "Ye", "session_id": 1412, "sequence_id": 89, "annotations": []}
{"role": "volunteer", "content": "and you might have 1 awnswer", "session_id": 1412, "sequence_id": 90, "annotations": []}
{"role": "volunteer", "content": "2 awnsers", "session_id": 1412, "sequence_id": 91, "annotations": []}
{"role": "volunteer", "content": "or 0 awnsers", "session_id": 1412, "sequence_id": 92, "annotations": []}
{"role": "volunteer", "content": "it all couls happen", "session_id": 1412, "sequence_id": 93, "annotations": []}
{"role": "student", "content": "Ok", "session_id": 1412, "sequence_id": 94, "annotations": []}
{"role": "volunteer", "content": "good luck on that", "session_id": 1412, "sequence_id": 95, "annotations": []}
{"role": "volunteer", "content": "bye!", "session_id": 1412, "sequence_id": 96, "annotations": []}
{"role": "student", "content": "Thank you bro", "session_id": 1412, "sequence_id": 97, "annotations": []}
{"role": "volunteer", "content": "You're welcome!", "session_id": 1412, "sequence_id": 98, "annotations": []}
{"role": "volunteer", "content": "hi Sarah", "session_id": 1451, "sequence_id": 0, "annotations": [{"pii_type": "PERSON", "surrogate": "Sarah", "start": 3, "end": 8}]}
{"role": "student", "content": "hi!", "session_id": 1451, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "so I need to find zeros", "session_id": 1451, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "but this is a complex solution only", "session_id": 1451, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "and I need synthetic division for this", "session_id": 1451, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "so what do I do?", "session_id": 1451, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "hello?", "session_id": 1451, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "hi", "session_id": 1451, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "ok sorry I'm in a rush Im studying for a test", "session_id": 1451, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "but this is a bit difficult", "session_id": 1451, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "Hi!", "session_id": 1492, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "Hello, what do you need help on?", "session_id": 1492, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "I'm trying to complete a homework assignment, i was told i can use synthetic division to solve the problems, but im stuck on one right now", "session_id": 1492, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "Can you upload an image of the problem and I'll help walk you through it?", "session_id": 1492, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "sure", "session_id": 1492, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "Are you still working on uploading the problem?", "session_id": 1492, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "yes, sorry", "session_id": 1492, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "No worries, first on the board can you show me how you would set this up?", "session_id": 1492, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "that's honestly what im confused on, because usually we do problems with only two things on the bottom, like x-c, but i don", "session_id": 1492, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "don't know how to set it up with 3", "session_id": 1492, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "i know how to set this one up with the synthetic division, but i don't know to do it with three", "session_id": 1492, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "Ah I understand, first I'll tell you the set up is exactly the same and I'll show you how to divide with three.", "session_id": 1492, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "So on the board, set it up just as you would with 2.", "session_id": 1492, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "i have no idea what to put there", "session_id": 1492, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "Ok, first to make this problem easier, I want you to actually simplify the dividend first.", "session_id": 1492, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "would i have to factor a bit, and then do it in 2 parts", "session_id": 1492, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "Do you see how you can simplify that part to make the problem easier?", "session_id": 1492, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "like make it (z-3) and (z-1), and then do the same thing like a normal 2 step, but i would have to do it twice?", "session_id": 1492, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "Yes that was actually the next step, I was referring to the 3z^2-6z^2-9z+3", "session_id": 1492, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "how can you simplify that to make it a simpler problem?", "session_id": 1492, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "oh wait, i have to divide by 3", "session_id": 1492, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "sorry, i completely forgot that part", "session_id": 1492, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "Yes good, first erase this we'll start from the beginning, it'll be easier this way.", "session_id": 1492, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "No worries!", "session_id": 1492, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "No need to set up first write the simplified version.", "session_id": 1492, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "Yes thats perfect", "session_id": 1492, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "Write down what you said for the factored version of the divisor", "session_id": 1492, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "Don't worry about setting up the division part yet.", "session_id": 1492, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "Yes perfect, now first divide the function by one of those parts as you would normally.", "session_id": 1492, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "Yes thats good now do the other one", "session_id": 1492, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "Yes thats good now write out both answers for these", "session_id": 1492, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "Good now finally, we have to combine both results into one, first write the original problem as a fraction", "session_id": 1492, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "Keep the divisor factored though", "session_id": 1492, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "like that", "session_id": 1492, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "?", "session_id": 1492, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "yes thats good", "session_id": 1492, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "Now because the numerator divided by z-1 is equal to the synthetic division we performed for that part we can substitute that in, so do that.", "session_id": 1492, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "wait what?", "session_id": 1492, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "I'm sorry, that lost me a bit", "session_id": 1492, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "Ok right now we can think about this as (z^3-2z^2-3z+1)/(z-1) * 1/(z-3). Given this, we are allowed to substitute in the answer for the synthetic division of (z^3-2z^2-3z+1)/(z-1)", "session_id": 1492, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "so are we just left with the z-3 on the bottom then", "session_id": 1492, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "Yes but that will be substituted as well. I just realized this might become more clear for you if I do the problem and explain my steps as I do, would you like that better?", "session_id": 1492, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "yea, probably, honestly right now, it's just a bunch of words to try to understand", "session_id": 1492, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "Ok no worries I thought that as well.", "session_id": 1492, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "This is the correct problem right?", "session_id": 1492, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "yes", "session_id": 1492, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "I'm not going to simplify the numerator here just because its hard to write here and the problem is relatively simple, but on paper I would recommend doing so.", "session_id": 1492, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "So this result makes sense to you correct?", "session_id": 1492, "sequence_id": 47, "annotations": []}
{"role": "student", "content": "yes, everythung made sense until you said the part about substituting", "session_id": 1492, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "ok theres another part i'm going to get to one sec", "session_id": 1492, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "Ok in this part here, one thing I don't think I made clear over text, is when you divide by the second part you have to divide by your result of the first part excluding the remainder", "session_id": 1492, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "I'll show you here", "session_id": 1492, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "Does this part make sense to you?", "session_id": 1492, "sequence_id": 52, "annotations": []}
{"role": "student", "content": "yes", "session_id": 1492, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "So this part is clear?", "session_id": 1492, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "Why we have to divide by the result of the first one the second time?", "session_id": 1492, "sequence_id": 55, "annotations": []}
{"role": "student", "content": "yea", "session_id": 1492, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "Ok good", "session_id": 1492, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "Ok, so do you agree that this is the same as the original problem", "session_id": 1492, "sequence_id": 58, "annotations": []}
{"role": "student", "content": "yea", "session_id": 1492, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "Good, so then do you agree that the first part of this should be equal to the first synthetic divison we did", "session_id": 1492, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "*division", "session_id": 1492, "sequence_id": 61, "annotations": []}
{"role": "student", "content": "yea", "session_id": 1492, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "ok good", "session_id": 1492, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "So when they are equivalent you agree I can substitute it in correct?", "session_id": 1492, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "Does this substitution make sense?", "session_id": 1492, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "What I have on the board currently?", "session_id": 1492, "sequence_id": 66, "annotations": []}
{"role": "student", "content": "yea", "session_id": 1492, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "ok good", "session_id": 1492, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "Do you agree that I am allowed to split my fraction like this?", "session_id": 1492, "sequence_id": 69, "annotations": []}
{"role": "student", "content": "yea, that makes sense", "session_id": 1492, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "ok great", "session_id": 1492, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "Now if we look at the first fraction, is this the same as the second synthetic division we did.", "session_id": 1492, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "Do you agree with this?", "session_id": 1492, "sequence_id": 73, "annotations": []}
{"role": "student", "content": "yea", "session_id": 1492, "sequence_id": 74, "annotations": []}
{"role": "volunteer", "content": "Ok so if they are equivalent then we can substitute the answer of the second synthetic division in for our first fraction correct?", "session_id": 1492, "sequence_id": 75, "annotations": []}
{"role": "student", "content": "yea", "session_id": 1492, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "great!", "session_id": 1492, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "Then because they are all equal, and we have substituted all our answers in, this is our final result.", "session_id": 1492, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "Do you have any questions about any part of this?", "session_id": 1492, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "Are you comfortable with how we got this answer?", "session_id": 1492, "sequence_id": 80, "annotations": []}
{"role": "student", "content": "so um im not totally sure that it matches with what the teacher gave us, or if i would still have to simplify from there, because he gave a different answer", "session_id": 1492, "sequence_id": 81, "annotations": []}
{"role": "volunteer", "content": "Can you show me the answer he provided you?", "session_id": 1492, "sequence_id": 82, "annotations": []}
{"role": "volunteer", "content": "Ah ok we can get this answer as well let me show you, first we understand the first section is fine yes?", "session_id": 1492, "sequence_id": 83, "annotations": []}
{"role": "student", "content": "yea", "session_id": 1492, "sequence_id": 84, "annotations": []}
{"role": "volunteer", "content": "We just need to simplify the second part", "session_id": 1492, "sequence_id": 85, "annotations": []}
{"role": "student", "content": "i was just confused about the 2nd part", "session_id": 1492, "sequence_id": 86, "annotations": []}
{"role": "volunteer", "content": "No worries let me show you that now", "session_id": 1492, "sequence_id": 87, "annotations": []}
{"role": "volunteer", "content": "So as you probably know to combine fractions we must get like deonomiators.", "session_id": 1492, "sequence_id": 88, "annotations": []}
{"role": "student", "content": "yea", "session_id": 1492, "sequence_id": 89, "annotations": []}
{"role": "volunteer", "content": "So we can see the difference between the 2 fractions denominators is a factor of (z-1) right?", "session_id": 1492, "sequence_id": 90, "annotations": []}
{"role": "student", "content": "do we have to multiply z-1 so that it just ends up as z-3 on the bottom?", "session_id": 1492, "sequence_id": 91, "annotations": []}
{"role": "volunteer", "content": "That is actually completely valid and would give you a correct answer.", "session_id": 1492, "sequence_id": 92, "annotations": []}
{"role": "student", "content": "really?", "session_id": 1492, "sequence_id": 93, "annotations": []}
{"role": "student", "content": "i just guessed", "session_id": 1492, "sequence_id": 94, "annotations": []}
{"role": "volunteer", "content": "No worries.", "session_id": 1492, "sequence_id": 95, "annotations": []}
{"role": "volunteer", "content": "But actually here, what we would want to do to match it up with your teachers answer is multiply the first fraction by a factor of z-1/z-1", "session_id": 1492, "sequence_id": 96, "annotations": []}
{"role": "volunteer", "content": "because (z-1)/(z-1) would equal 1 we get an equivalent fraction.", "session_id": 1492, "sequence_id": 97, "annotations": []}
{"role": "student", "content": "yea", "session_id": 1492, "sequence_id": 98, "annotations": []}
{"role": "volunteer", "content": "Now that they have like bases we can combine the two, but also remember that the numerator in the first fraction can become 6z-6 through the distributive property", "session_id": 1492, "sequence_id": 99, "annotations": []}
{"role": "volunteer", "content": "now we can see the numerator is the same as your teachers answer, and all we would have to do here is instead of keeping (z-3)(z-1) as our denominator we can expand it", "session_id": 1492, "sequence_id": 100, "annotations": []}
{"role": "student", "content": "i had not thought of that", "session_id": 1492, "sequence_id": 101, "annotations": []}
{"role": "volunteer", "content": "And now we have your teachers answer", "session_id": 1492, "sequence_id": 102, "annotations": []}
{"role": "student", "content": "ohhhh", "session_id": 1492, "sequence_id": 103, "annotations": []}
{"role": "student", "content": "okay well that makes so much sense, thank you so much for taking the time to explain!", "session_id": 1492, "sequence_id": 104, "annotations": []}
{"role": "volunteer", "content": "No worries! Good luck on the rest of your hw!", "session_id": 1492, "sequence_id": 105, "annotations": []}
{"role": "volunteer", "content": "Hi Maya, how can I help", "session_id": 1499, "sequence_id": 0, "annotations": [{"pii_type": "PERSON", "surrogate": "Maya", "start": 3, "end": 7}]}
{"role": "student", "content": "Hiii I need help facotring", "session_id": 1499, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "sure", "session_id": 1499, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "what would be your first step", "session_id": 1499, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "ummm finding the product-sum", "session_id": 1499, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "what multiples of 18 that can involve (X) will =21", "session_id": 1499, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "ummmm", "session_id": 1499, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "we can plug in some numbers and check", "session_id": 1499, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "okii", "session_id": 1499, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "lets try 1 and 18", "session_id": 1499, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "would this work", "session_id": 1499, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "no I don't think so?", "session_id": 1499, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "yes, youre right", "session_id": 1499, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "does this work", "session_id": 1499, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "no I don't think so", "session_id": 1499, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "do you know why it doesn't work", "session_id": 1499, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "would this work", "session_id": 1499, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "well when I distributed it didn't work", "session_id": 1499, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "okay good", "session_id": 1499, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "what about this", "session_id": 1499, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "no it doesn't work", "session_id": 1499, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "good", "session_id": 1499, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "now we only have 3 and6 left", "session_id": 1499, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "where do you think the 6 and 3 go", "session_id": 1499, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "try distributing that and see if it works", "session_id": 1499, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "does it work", "session_id": 1499, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "no but I think it will work if I switch the 6 and the 3", "session_id": 1499, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "yes! try that", "session_id": 1499, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "I think it worksss", "session_id": 1499, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "good! do you have another question", "session_id": 1499, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "yes one sec", "session_id": 1499, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "okay lets try this", "session_id": 1499, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "it looks like that works", "session_id": 1499, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "lucky guess", "session_id": 1499, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "do you want to try this one", "session_id": 1499, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "lemme just see if this is rightt", "session_id": 1499, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "ok my homework thing said it was right", "session_id": 1499, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "can you help me with the next one?", "session_id": 1499, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 1499, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "do you want to start off this one", "session_id": 1499, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "huh", "session_id": 1499, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "which one?", "session_id": 1499, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "the next one", "session_id": 1499, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "oh sorry yes", "session_id": 1499, "sequence_id": 43, "annotations": []}
{"role": "student", "content": "I don't think this  one works", "session_id": 1499, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "well first we need to make list of multiples of 21", "session_id": 1499, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "ohhh that's what I forgot", "session_id": 1499, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "so we need to use one of those pairs", "session_id": 1499, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "you used 21 and 2", "session_id": 1499, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "yea I did that wrong", "session_id": 1499, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "lets use one of those either 21 and 1 or 7 and 3", "session_id": 1499, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "does that work", "session_id": 1499, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "I don't think it works", "session_id": 1499, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "what about if we flip it", "session_id": 1499, "sequence_id": 53, "annotations": []}
{"role": "student", "content": "I don't think that works either", "session_id": 1499, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "good", "session_id": 1499, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "what about this", "session_id": 1499, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "a short cut is just to add the numbers, i dont know if you learnt it already", "session_id": 1499, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "see?", "session_id": 1499, "sequence_id": 58, "annotations": []}
{"role": "student", "content": "I don't think that work either", "session_id": 1499, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "i think the math showed it worked, let me double check", "session_id": 1499, "sequence_id": 60, "annotations": []}
{"role": "student", "content": "oh wait yea it does", "session_id": 1499, "sequence_id": 61, "annotations": []}
{"role": "student", "content": "I was thinking of the wrong equation", "session_id": 1499, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "yes! it works", "session_id": 1499, "sequence_id": 63, "annotations": []}
{"role": "student", "content": "okii can you help me with one more?", "session_id": 1499, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "yes!", "session_id": 1499, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "lets try this on your own, make a multiples list of 14", "session_id": 1499, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "lets try it in the parentheses", "session_id": 1499, "sequence_id": 67, "annotations": []}
{"role": "student", "content": "okiii that's the right one I thinkk", "session_id": 1499, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "good job!", "session_id": 1499, "sequence_id": 69, "annotations": []}
{"role": "student", "content": "thank you so muchhhh", "session_id": 1499, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "of cpurse", "session_id": 1499, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "anything else?", "session_id": 1499, "sequence_id": 72, "annotations": []}
{"role": "student", "content": "nope thank you for your help", "session_id": 1499, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "of cpurse have a good night", "session_id": 1499, "sequence_id": 74, "annotations": []}
{"role": "student", "content": "you too good byeee", "session_id": 1499, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "hi Liam", "session_id": 1509, "sequence_id": 0, "annotations": [{"pii_type": "PERSON", "surrogate": "Liam", "start": 3, "end": 7}]}
{"role": "student", "content": "Hey I was hoping if you can help me solve a specific problem", "session_id": 1509, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "sure", "session_id": 1509, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "2x^4-2x^3+7+8x^2-x divided by x^2+2", "session_id": 1509, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "this one", "session_id": 1509, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "like I wrote on the board?", "session_id": 1509, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "yep, i understand the set up but i have no idea what else to do", "session_id": 1509, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "what does the problem ask you to do?", "session_id": 1509, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "is dividing polynomials so technically dividing that problem", "session_id": 1509, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "so just divide? we can use long division, similar to what you do with numbers.", "session_id": 1509, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "i set it up that way actually :)", "session_id": 1509, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "good start, then!", "session_id": 1509, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "start by dividing 2x^4 by x^2", "session_id": 1509, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "i added 2x^2 on the top and then on the bottom i did 2x^4+2x^2", "session_id": 1509, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "right. just like I wrote on the board", "session_id": 1509, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "then subtract that whole second line", "session_id": 1509, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "and bring down the -2x^3 from above", "session_id": 1509, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "ohh i see what to do", "session_id": 1509, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "you write the next line", "session_id": 1509, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "on the board", "session_id": 1509, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "do i bring down the -x or no?", "session_id": 1509, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "not yet. first write stuff on the board", "session_id": 1509, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "above and below the radical", "session_id": 1509, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "write the next term under the -x", "session_id": 1509, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "so it lines up", "session_id": 1509, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "just 2x^3-4x", "session_id": 1509, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "oh i though that cancels out 2x^3", "session_id": 1509, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "2x^3 is canceled", "session_id": 1509, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "okay making sure", "session_id": 1509, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "but now you bring down the 6x^2 and do -x --4x", "session_id": 1509, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "no", "session_id": 1509, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "oh my bad", "session_id": 1509, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "-x-(-4x)", "session_id": 1509, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "2 negatives makes a positive", "session_id": 1509, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "no", "session_id": 1509, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "it's a -x and a +4x", "session_id": 1509, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "wait what yeah i dont get that part my bad", "session_id": 1509, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "-x from the top", "session_id": 1509, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "then -(-4x) at the bottom becomes +4x", "session_id": 1509, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "so -x+4x", "session_id": 1509, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "subtract 1 x from 4x", "session_id": 1509, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "almost there", "session_id": 1509, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "x^2 into 6x^2", "session_id": 1509, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "-5", "session_id": 1509, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "did that make sense?", "session_id": 1509, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "okay now i get itt THANK YOU SO MUCHHH", "session_id": 1509, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "yw", "session_id": 1509, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "Thanks again and have a nice dayy", "session_id": 1509, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "Hi", "session_id": 1524, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "do you want to give each question an attempt before i come to it?", "session_id": 1524, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "like you can give each question a chance and i'll tell you how youre doing?", "session_id": 1524, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "hey just following up!^", "session_id": 1524, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "what are your answers for the first image", "session_id": 1524, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "erm still doing it", "session_id": 1524, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "10 for the first", "session_id": 1524, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "12 for tje 2ndone", "session_id": 1524, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "those both look right!!", "session_id": 1524, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "idk hw to do 3 and 4 since its an advance topic  so", "session_id": 1524, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "i Emma need help", "session_id": 1524, "sequence_id": 10, "annotations": [{"pii_type": "PERSON", "surrogate": "Emma", "start": 2, "end": 6}]}
{"role": "volunteer", "content": "do you want to go through them together?", "session_id": 1524, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "ok!", "session_id": 1524, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "yup  ut dont necessarily give methe answer", "session_id": 1524, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "jus help me instead", "session_id": 1524, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "ok!", "session_id": 1524, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "so there's something called the tangent-secant theorem, do you know what that is?", "session_id": 1524, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "yup", "session_id": 1524, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "ok could you maybe use that", "session_id": 1524, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "poer of   a point", "session_id": 1524, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "yeah!", "session_id": 1524, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "using dg as the tangent", "session_id": 1524, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "tangent secant", "session_id": 1524, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "Liam", "session_id": 1524, "sequence_id": 23, "annotations": [{"pii_type": "PERSON", "surrogate": "Liam", "start": 0, "end": 4}]}
{"role": "volunteer", "content": "ok haha", "session_id": 1524, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "hahhaha", "session_id": 1524, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "( 12(3) + 5) (5)= DG^2", "session_id": 1524, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "correc?", "session_id": 1524, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "or naor", "session_id": 1524, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "i thought it was", "session_id": 1524, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "huh", "session_id": 1524, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "(12+3+5)*5?", "session_id": 1524, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "yea", "session_id": 1524, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "or maybe im wrong lol give me a second", "session_id": 1524, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "ok yeah", "session_id": 1524, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "oh", "session_id": 1524, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "what do we use", "session_id": 1524, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "multiply oradd", "session_id": 1524, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "mine or yours", "session_id": 1524, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "i thought it was add but let me double check for a second", "session_id": 1524, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "oki", "session_id": 1524, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "i believe its add", "session_id": 1524, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "bc it's tangent^2 = whole secant * outside part", "session_id": 1524, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "ohoki?", "session_id": 1524, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "and whole secant is 12+3+5, and outside = 5?", "session_id": 1524, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "but while secant we needed to find one", "session_id": 1524, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "but oki", "session_id": 1524, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "nvm", "session_id": 1524, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "ok!", "session_id": 1524, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "so what does that give you dg is", "session_id": 1524, "sequence_id": 49, "annotations": []}
{"role": "student", "content": "10", "session_id": 1524, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "yes!", "session_id": 1524, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "ifwe assum that fa is 12", "session_id": 1524, "sequence_id": 52, "annotations": []}
{"role": "student", "content": "like the other", "session_id": 1524, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "we know fa is 9", "session_id": 1524, "sequence_id": 54, "annotations": []}
{"role": "student", "content": "since", "session_id": 1524, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "from the question", "session_id": 1524, "sequence_id": 56, "annotations": []}
{"role": "student", "content": "oh i was assuming sorry", "session_id": 1524, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "ah ok im sorry", "session_id": 1524, "sequence_id": 58, "annotations": []}
{"role": "student", "content": "blind leading theblind( me most of the time)", "session_id": 1524, "sequence_id": 59, "annotations": []}
{"role": "student", "content": ":o", "session_id": 1524, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "HAHA", "session_id": 1524, "sequence_id": 61, "annotations": []}
{"role": "student", "content": "back", "session_id": 1524, "sequence_id": 62, "annotations": []}
{"role": "student", "content": "9x = (12)(3", "session_id": 1524, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "yes!", "session_id": 1524, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "so cf is?", "session_id": 1524, "sequence_id": 65, "annotations": []}
{"role": "student", "content": "4", "session_id": 1524, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "yep!", "session_id": 1524, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "do you want to try 4 now or do you want to go through tg", "session_id": 1524, "sequence_id": 68, "annotations": []}
{"role": "student", "content": "me", "session_id": 1524, "sequence_id": 69, "annotations": []}
{"role": "student", "content": "since i get the flow na", "session_id": 1524, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "ok!", "session_id": 1524, "sequence_id": 71, "annotations": []}
{"role": "student", "content": "12", "session_id": 1524, "sequence_id": 72, "annotations": []}
{"role": "student", "content": "and dg", "session_id": 1524, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "wait sorry are you saying dg is 12 or cf is 12", "session_id": 1524, "sequence_id": 74, "annotations": []}
{"role": "student", "content": "cf is 12", "session_id": 1524, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "hm", "session_id": 1524, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "look again i think", "session_id": 1524, "sequence_id": 77, "annotations": []}
{"role": "student", "content": "omj ill try", "session_id": 1524, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "youre close? i think cf isnt 12 though", "session_id": 1524, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "let me know if you want a hint", "session_id": 1524, "sequence_id": 80, "annotations": []}
{"role": "student", "content": "(6+4+8)*8", "session_id": 1524, "sequence_id": 81, "annotations": []}
{"role": "student", "content": "huh", "session_id": 1524, "sequence_id": 82, "annotations": []}
{"role": "student", "content": "math term", "session_id": 1524, "sequence_id": 83, "annotations": []}
{"role": "volunteer", "content": "yes but that is dg?", "session_id": 1524, "sequence_id": 84, "annotations": []}
{"role": "volunteer", "content": "bc dg is the tangent here haha", "session_id": 1524, "sequence_id": 85, "annotations": []}
{"role": "student", "content": "cf", "session_id": 1524, "sequence_id": 86, "annotations": []}
{"role": "student", "content": "oh", "session_id": 1524, "sequence_id": 87, "annotations": []}
{"role": "student", "content": "sory\\BWHAAA", "session_id": 1524, "sequence_id": 88, "annotations": []}
{"role": "volunteer", "content": "nono thats ok!", "session_id": 1524, "sequence_id": 89, "annotations": []}
{"role": "student", "content": "hahahha okioki", "session_id": 1524, "sequence_id": 90, "annotations": []}
{"role": "student", "content": "its 12 for cf", "session_id": 1524, "sequence_id": 91, "annotations": []}
{"role": "volunteer", "content": "*for dg", "session_id": 1524, "sequence_id": 92, "annotations": []}
{"role": "student", "content": "dg is 3", "session_id": 1524, "sequence_id": 93, "annotations": []}
{"role": "volunteer", "content": "you switched them again but yes that's correct!", "session_id": 1524, "sequence_id": 94, "annotations": []}
{"role": "student", "content": "hhahhhaha oki", "session_id": 1524, "sequence_id": 95, "annotations": []}
{"role": "volunteer", "content": "ok now what about 5", "session_id": 1524, "sequence_id": 96, "annotations": []}
{"role": "student", "content": "53.01", "session_id": 1524, "sequence_id": 97, "annotations": []}
{"role": "volunteer", "content": "correct!", "session_id": 1524, "sequence_id": 98, "annotations": []}
{"role": "volunteer", "content": "6?", "session_id": 1524, "sequence_id": 99, "annotations": []}
{"role": "student", "content": "63.617", "session_id": 1524, "sequence_id": 100, "annotations": []}
{"role": "volunteer", "content": "could we check the math here?", "session_id": 1524, "sequence_id": 101, "annotations": []}
{"role": "student", "content": "huh why", "session_id": 1524, "sequence_id": 102, "annotations": []}
{"role": "volunteer", "content": "i have 12*12*pi*1/4 - 1/2*12*12", "session_id": 1524, "sequence_id": 103, "annotations": []}
{"role": "volunteer", "content": "which is calculating to 41.09 for me?", "session_id": 1524, "sequence_id": 104, "annotations": []}
{"role": "student", "content": "its 90/360 pi(12)^2?", "session_id": 1524, "sequence_id": 105, "annotations": []}
{"role": "student", "content": "huh", "session_id": 1524, "sequence_id": 106, "annotations": []}
{"role": "volunteer", "content": "yes but hten you have to remove the triangle", "session_id": 1524, "sequence_id": 107, "annotations": []}
{"role": "student", "content": "AY UH", "session_id": 1524, "sequence_id": 108, "annotations": []}
{"role": "volunteer", "content": "the only shaded part is what i just outlined", "session_id": 1524, "sequence_id": 109, "annotations": []}
{"role": "student", "content": "SEGEMTNS DIAYNI", "session_id": 1524, "sequence_id": 110, "annotations": []}
{"role": "student", "content": "23.11", "session_id": 1524, "sequence_id": 111, "annotations": []}
{"role": "volunteer", "content": "could you show the formula again?", "session_id": 1524, "sequence_id": 112, "annotations": []}
{"role": "student", "content": "my bad", "session_id": 1524, "sequence_id": 113, "annotations": []}
{"role": "student", "content": "theta /260 pi r^2 -1/2 r^2 (0)", "session_id": 1524, "sequence_id": 114, "annotations": []}
{"role": "student", "content": "*360", "session_id": 1524, "sequence_id": 115, "annotations": []}
{"role": "volunteer", "content": "ok so that's 90/360*pi*12^2 - 1/2*12^2 correct?", "session_id": 1524, "sequence_id": 116, "annotations": []}
{"role": "student", "content": "YUP", "session_id": 1524, "sequence_id": 117, "annotations": []}
{"role": "student", "content": "soits 23.11", "session_id": 1524, "sequence_id": 118, "annotations": []}
{"role": "student", "content": "correc", "session_id": 1524, "sequence_id": 119, "annotations": []}
{"role": "student", "content": "?", "session_id": 1524, "sequence_id": 120, "annotations": []}
{"role": "volunteer", "content": "so im getting 113.09 for the first term and 72 for the second term?", "session_id": 1524, "sequence_id": 121, "annotations": []}
{"role": "volunteer", "content": "which is 41.09 overall?", "session_id": 1524, "sequence_id": 122, "annotations": []}
{"role": "student", "content": "you forgot", "session_id": 1524, "sequence_id": 123, "annotations": []}
{"role": "student", "content": "sin (90)", "session_id": 1524, "sequence_id": 124, "annotations": []}
{"role": "student", "content": "btw", "session_id": 1524, "sequence_id": 125, "annotations": []}
{"role": "volunteer", "content": "sin(90)) = 1 though", "session_id": 1524, "sequence_id": 126, "annotations": []}
{"role": "student", "content": "63.1", "session_id": 1524, "sequence_id": 127, "annotations": []}
{"role": "student", "content": "40.5", "session_id": 1524, "sequence_id": 128, "annotations": []}
{"role": "volunteer", "content": "which ones are these for", "session_id": 1524, "sequence_id": 129, "annotations": []}
{"role": "student", "content": "63.1 - 40.5=23.1", "session_id": 1524, "sequence_id": 130, "annotations": []}
{"role": "student", "content": "for thar on", "session_id": 1524, "sequence_id": 131, "annotations": []}
{"role": "volunteer", "content": "oh but", "session_id": 1524, "sequence_id": 132, "annotations": []}
{"role": "student", "content": "solve it indiviually then monus", "session_id": 1524, "sequence_id": 133, "annotations": []}
{"role": "volunteer", "content": "90/360*144*pi", "session_id": 1524, "sequence_id": 134, "annotations": []}
{"role": "volunteer", "content": "113.09.07", "session_id": 1524, "sequence_id": 135, "annotations": []}
{"role": "volunteer", "content": "unless ur converting to cm ahead?", "session_id": 1524, "sequence_id": 136, "annotations": []}
{"role": "volunteer", "content": "no that still wouldnt be the same", "session_id": 1524, "sequence_id": 137, "annotations": []}
{"role": "student", "content": "41.09", "session_id": 1524, "sequence_id": 138, "annotations": []}
{"role": "volunteer", "content": "yes!", "session_id": 1524, "sequence_id": 139, "annotations": []}
{"role": "volunteer", "content": "sorry about that haha", "session_id": 1524, "sequence_id": 140, "annotations": []}
{"role": "student", "content": "we can do 3 of the last part", "session_id": 1524, "sequence_id": 141, "annotations": []}
{"role": "volunteer", "content": "you had the right concept just wanted to make sure it was the right calc", "session_id": 1524, "sequence_id": 142, "annotations": []}
{"role": "student", "content": "and solve for the radius and center angle/ centerrafius", "session_id": 1524, "sequence_id": 143, "annotations": []}
{"role": "student", "content": "and expound", "session_id": 1524, "sequence_id": 144, "annotations": []}
{"role": "volunteer", "content": "ok sounds good!  for the second picture?", "session_id": 1524, "sequence_id": 145, "annotations": []}
{"role": "volunteer", "content": "do you want to try + show what you get", "session_id": 1524, "sequence_id": 146, "annotations": []}
{"role": "student", "content": "2.2", "session_id": 1524, "sequence_id": 147, "annotations": []}
{"role": "student", "content": "or square of 8", "session_id": 1524, "sequence_id": 148, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 1524, "sequence_id": 149, "annotations": []}
{"role": "student", "content": "Chloe", "session_id": 1524, "sequence_id": 150, "annotations": [{"pii_type": "PERSON", "surrogate": "Chloe", "start": 0, "end": 5}]}
{"role": "student", "content": "we need the formula", "session_id": 1524, "sequence_id": 151, "annotations": []}
{"role": "student", "content": "(4,10 itwas the center", "session_id": 1524, "sequence_id": 152, "annotations": []}
{"role": "student", "content": "we usethat", "session_id": 1524, "sequence_id": 153, "annotations": []}
{"role": "volunteer", "content": "ok! so it would be ?", "session_id": 1524, "sequence_id": 154, "annotations": []}
{"role": "volunteer", "content": "(x-4)^2+(y-10)^2 = 8", "session_id": 1524, "sequence_id": 155, "annotations": []}
{"role": "student", "content": "x^2 - 8x^2  + y^2 - 20y +113.2", "session_id": 1524, "sequence_id": 156, "annotations": []}
{"role": "student", "content": "expounded", "session_id": 1524, "sequence_id": 157, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 1524, "sequence_id": 158, "annotations": []}
{"role": "student", "content": "ok we can do 2 more and we can be done", "session_id": 1524, "sequence_id": 159, "annotations": []}
{"role": "student", "content": "lets find the center for the port", "session_id": 1524, "sequence_id": 160, "annotations": []}
{"role": "volunteer", "content": "ok! which one do you want to do", "session_id": 1524, "sequence_id": 161, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 1524, "sequence_id": 162, "annotations": []}
{"role": "student", "content": "and equation", "session_id": 1524, "sequence_id": 163, "annotations": []}
{"role": "volunteer", "content": "so (-1,1) is center", "session_id": 1524, "sequence_id": 164, "annotations": []}
{"role": "volunteer", "content": "whats radius", "session_id": 1524, "sequence_id": 165, "annotations": []}
{"role": "student", "content": "5.8", "session_id": 1524, "sequence_id": 166, "annotations": []}
{"role": "volunteer", "content": "yes!", "session_id": 1524, "sequence_id": 167, "annotations": []}
{"role": "volunteer", "content": "and equation?", "session_id": 1524, "sequence_id": 168, "annotations": []}
{"role": "student", "content": "erm x^2 + y^2 -2x -2y -3.8", "session_id": 1524, "sequence_id": 169, "annotations": []}
{"role": "student", "content": "edpounded one", "session_id": 1524, "sequence_id": 170, "annotations": []}
{"role": "volunteer", "content": "yes!", "session_id": 1524, "sequence_id": 171, "annotations": []}
{"role": "volunteer", "content": "which one next", "session_id": 1524, "sequence_id": 172, "annotations": []}
{"role": "student", "content": "its (x-(-1))^2 + (y-1)^@", "session_id": 1524, "sequence_id": 173, "annotations": []}
{"role": "student", "content": "we can be done", "session_id": 1524, "sequence_id": 174, "annotations": []}
{"role": "student", "content": "Noah", "session_id": 1524, "sequence_id": 175, "annotations": [{"pii_type": "PERSON", "surrogate": "Noah", "start": 0, "end": 4}]}
{"role": "student", "content": "bye", "session_id": 1524, "sequence_id": 176, "annotations": []}
{"role": "volunteer", "content": "ok no problem! have a nice evening", "session_id": 1524, "sequence_id": 177, "annotations": []}
{"role": "student", "content": "Olivia", "session_id": 1524, "sequence_id": 178, "annotations": [{"pii_type": "PERSON", "surrogate": "Olivia", "start": 0, "end": 6}]}
{"role": "student", "content": "same here", "session_id": 1524, "sequence_id": 179, "annotations": []}
{"role": "volunteer", "content": "bye!", "session_id": 1524, "sequence_id": 180, "annotations": []}
{"role": "volunteer", "content": "hello", "session_id": 1613, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "Hi, hello", "session_id": 1613, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "hi", "session_id": 1613, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "Do, can you", "session_id": 1613, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "um, mute", "session_id": 1613, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "so we can probably chat.", "session_id": 1613, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "for like maybe not chat like solve problems.", "session_id": 1613, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "are u fine with text bcs theres a lot of background noise", "session_id": 1613, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "Um, I just have, I have some, I need to", "session_id": 1613, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "um, I need some help with the problems.", "session_id": 1613, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "yes Jay i can help!", "session_id": 1613, "sequence_id": 10, "annotations": [{"pii_type": "PERSON", "surrogate": "Jay", "start": 4, "end": 7}]}
{"role": "student", "content": "OK, then, then maybe.", "session_id": 1613, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "OK", "session_id": 1613, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "whats your question?", "session_id": 1613, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "On", "session_id": 1613, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "and", "session_id": 1613, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "hello??", "session_id": 1613, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "hello", "session_id": 1613, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "yess", "session_id": 1613, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "Um", "session_id": 1613, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "bring it", "session_id": 1613, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "upload.", "session_id": 1613, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "There we go", "session_id": 1613, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "ok! thank you", "session_id": 1613, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "just", "session_id": 1613, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "Here's the problem", "session_id": 1613, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "so decimal multiplication correct", "session_id": 1613, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "Hm.", "session_id": 1613, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "One second, I'm gonna", "session_id": 1613, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "make myself", "session_id": 1613, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "um", "session_id": 1613, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "OK, I guess I maybe we start.", "session_id": 1613, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "ok perfect", "session_id": 1613, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "so how would you usually go about questions like these", "session_id": 1613, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "What we start?", "session_id": 1613, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "with?", "session_id": 1613, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "yep", "session_id": 1613, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "Where should we start?", "session_id": 1613, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "ok so we can split the question up", "session_id": 1613, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "I got", "session_id": 1613, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "Hm", "session_id": 1613, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "so", "session_id": 1613, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "once I, I, uh, I was just", "session_id": 1613, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "um", "session_id": 1613, "sequence_id": 43, "annotations": []}
{"role": "student", "content": "I was just talking to my mom for a second.", "session_id": 1613, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "Oh, OK, how do we split them up?", "session_id": 1613, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "since there are 3 terms, we can do this,", "session_id": 1613, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "OK", "session_id": 1613, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "ok so we can mutiply 0.002 by 75,000 first", "session_id": 1613, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "Mama", "session_id": 1613, "sequence_id": 49, "annotations": []}
{"role": "student", "content": "good.", "session_id": 1613, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "and then multiply that result by 0.004 if that makes sense", "session_id": 1613, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "um", "session_id": 1613, "sequence_id": 52, "annotations": []}
{"role": "student", "content": "because", "session_id": 1613, "sequence_id": 53, "annotations": []}
{"role": "student", "content": "OK", "session_id": 1613, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "perfect", "session_id": 1613, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "so now we have to start multiplying and obviously when it comes to multiplying a decimal number its harder", "session_id": 1613, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "meaning we can turn the decimal into a whole number!!", "session_id": 1613, "sequence_id": 57, "annotations": []}
{"role": "student", "content": "um", "session_id": 1613, "sequence_id": 58, "annotations": []}
{"role": "student", "content": "did do it by buying.", "session_id": 1613, "sequence_id": 59, "annotations": []}
{"role": "student", "content": "You split it up and multiply the zeros.", "session_id": 1613, "sequence_id": 60, "annotations": []}
{"role": "student", "content": "move the decimal point.", "session_id": 1613, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "yep!", "session_id": 1613, "sequence_id": 62, "annotations": []}
{"role": "student", "content": "So", "session_id": 1613, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "so you can do 2*75,000 and then move the decimal points over", "session_id": 1613, "sequence_id": 64, "annotations": []}
{"role": "student", "content": "so in the parentheses, it's going to 150,000", "session_id": 1613, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "yep good job!!", "session_id": 1613, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "and now we have to multiply by the last term", "session_id": 1613, "sequence_id": 67, "annotations": []}
{"role": "student", "content": "Hm", "session_id": 1613, "sequence_id": 68, "annotations": []}
{"role": "student", "content": "5", "session_id": 1613, "sequence_id": 69, "annotations": []}
{"role": "student", "content": "15 times 4 is going to be 60.", "session_id": 1613, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "yep", "session_id": 1613, "sequence_id": 71, "annotations": []}
{"role": "student", "content": "So", "session_id": 1613, "sequence_id": 72, "annotations": []}
{"role": "student", "content": "it's gonna 60.", "session_id": 1613, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "yes but then we have to move over the decimal spaces too", "session_id": 1613, "sequence_id": 74, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 1613, "sequence_id": 75, "annotations": []}
{"role": "student", "content": "So it's going to be", "session_id": 1613, "sequence_id": 76, "annotations": []}
{"role": "student", "content": "0.", "session_id": 1613, "sequence_id": 77, "annotations": []}
{"role": "student", "content": "6", "session_id": 1613, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "yess yayy good job :)", "session_id": 1613, "sequence_id": 79, "annotations": []}
{"role": "student", "content": "OK, so that's the answer.", "session_id": 1613, "sequence_id": 80, "annotations": []}
{"role": "volunteer", "content": "mhm", "session_id": 1613, "sequence_id": 81, "annotations": []}
{"role": "student", "content": "I dissolve", "session_id": 1613, "sequence_id": 82, "annotations": []}
{"role": "student", "content": "this, this type of type of problems.", "session_id": 1613, "sequence_id": 83, "annotations": []}
{"role": "volunteer", "content": "ok so what do you think we should start with?", "session_id": 1613, "sequence_id": 84, "annotations": []}
{"role": "student", "content": "Hm", "session_id": 1613, "sequence_id": 85, "annotations": []}
{"role": "volunteer", "content": "first lets identify what the question is asking us to do", "session_id": 1613, "sequence_id": 86, "annotations": []}
{"role": "student", "content": "OK, then.", "session_id": 1613, "sequence_id": 87, "annotations": []}
{"role": "student", "content": "the thing, the question is including no trailing zeros.", "session_id": 1613, "sequence_id": 88, "annotations": []}
{"role": "student", "content": "How many digits", "session_id": 1613, "sequence_id": 89, "annotations": []}
{"role": "student", "content": "are to the right of the decimal point in the product", "session_id": 1613, "sequence_id": 90, "annotations": []}
{"role": "student", "content": "7,000 to the power of 10 times 0.0001.", "session_id": 1613, "sequence_id": 91, "annotations": []}
{"role": "student", "content": "to the power of 10", "session_id": 1613, "sequence_id": 92, "annotations": []}
{"role": "volunteer", "content": "ok so we are asked to find the digit right to the decimal point", "session_id": 1613, "sequence_id": 93, "annotations": []}
{"role": "student", "content": "What do we do now", "session_id": 1613, "sequence_id": 94, "annotations": []}
{"role": "volunteer", "content": "so this is what i would do", "session_id": 1613, "sequence_id": 95, "annotations": []}
{"role": "volunteer", "content": "since we know that both of the exponents are the same", "session_id": 1613, "sequence_id": 96, "annotations": []}
{"role": "volunteer", "content": "we can multiply 7,000*0.0001", "session_id": 1613, "sequence_id": 97, "annotations": []}
{"role": "volunteer", "content": "so what would that be?", "session_id": 1613, "sequence_id": 98, "annotations": []}
{"role": "student", "content": "Oh yeah, that's smart.", "session_id": 1613, "sequence_id": 99, "annotations": []}
{"role": "student", "content": "And whatever the result is, it's going, I think it's 7000, I mean 7 and then 7 to the power of 10.", "session_id": 1613, "sequence_id": 100, "annotations": []}
{"role": "volunteer", "content": "almost, it would be 0.7 correct", "session_id": 1613, "sequence_id": 101, "annotations": []}
{"role": "volunteer", "content": "since its 0.0001 there are 3 zeros", "session_id": 1613, "sequence_id": 102, "annotations": []}
{"role": "student", "content": "Oh", "session_id": 1613, "sequence_id": 103, "annotations": []}
{"role": "volunteer", "content": "glad you understand :)", "session_id": 1613, "sequence_id": 104, "annotations": []}
{"role": "student", "content": "I do it", "session_id": 1613, "sequence_id": 105, "annotations": []}
{"role": "student", "content": "do 0.7 to the power of 10.", "session_id": 1613, "sequence_id": 106, "annotations": []}
{"role": "volunteer", "content": "so usually what u can do it read the exponent since it says to the power of 10 there will be 10 digits after the decimal", "session_id": 1613, "sequence_id": 107, "annotations": []}
{"role": "volunteer", "content": "so it all depends on what the value of the exponent is", "session_id": 1613, "sequence_id": 108, "annotations": []}
{"role": "volunteer", "content": "so for example if there is 0.7^5 there would be 5 digits after the decimal point", "session_id": 1613, "sequence_id": 109, "annotations": []}
{"role": "volunteer", "content": "does that make sense?", "session_id": 1613, "sequence_id": 110, "annotations": []}
{"role": "volunteer", "content": "hello?", "session_id": 1613, "sequence_id": 111, "annotations": []}
{"role": "student", "content": "What is \u201c^\u201d mean?", "session_id": 1613, "sequence_id": 112, "annotations": []}
{"role": "volunteer", "content": "are u still there", "session_id": 1613, "sequence_id": 113, "annotations": []}
{"role": "volunteer", "content": "to the power of", "session_id": 1613, "sequence_id": 114, "annotations": []}
{"role": "student", "content": "Oh", "session_id": 1613, "sequence_id": 115, "annotations": []}
{"role": "student", "content": "so it's going to be", "session_id": 1613, "sequence_id": 116, "annotations": []}
{"role": "student", "content": "oh, so it's going to be 10 digits after", "session_id": 1613, "sequence_id": 117, "annotations": []}
{"role": "student", "content": "the decimal point.", "session_id": 1613, "sequence_id": 118, "annotations": []}
{"role": "volunteer", "content": "yes!!", "session_id": 1613, "sequence_id": 119, "annotations": []}
{"role": "volunteer", "content": "good job", "session_id": 1613, "sequence_id": 120, "annotations": []}
{"role": "student", "content": "and is it all the same number?", "session_id": 1613, "sequence_id": 121, "annotations": []}
{"role": "student", "content": "or they say all the same digits.", "session_id": 1613, "sequence_id": 122, "annotations": []}
{"role": "volunteer", "content": "no they are not all going to be the same number since 0.7 isn't a number like 0.1", "session_id": 1613, "sequence_id": 123, "annotations": []}
{"role": "student", "content": "we are.", "session_id": 1613, "sequence_id": 124, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 1613, "sequence_id": 125, "annotations": []}
{"role": "student", "content": "and", "session_id": 1613, "sequence_id": 126, "annotations": []}
{"role": "volunteer", "content": "but you can tell how many digits there are by the exponent", "session_id": 1613, "sequence_id": 127, "annotations": []}
{"role": "student", "content": "on that", "session_id": 1613, "sequence_id": 128, "annotations": []}
{"role": "student", "content": "Uh", "session_id": 1613, "sequence_id": 129, "annotations": []}
{"role": "student", "content": "Um, give a CXponent says.", "session_id": 1613, "sequence_id": 130, "annotations": []}
{"role": "student", "content": "10 digits", "session_id": 1613, "sequence_id": 131, "annotations": []}
{"role": "volunteer", "content": "yep!", "session_id": 1613, "sequence_id": 132, "annotations": []}
{"role": "volunteer", "content": "so the answer would be 10", "session_id": 1613, "sequence_id": 133, "annotations": []}
{"role": "student", "content": "How", "session_id": 1613, "sequence_id": 134, "annotations": []}
{"role": "volunteer", "content": "because we have 0.7 to the power of 10 and the exponent tells us how many digits are to the right of the decimal in this case the exponent is 10", "session_id": 1613, "sequence_id": 135, "annotations": []}
{"role": "volunteer", "content": "meaning there are 10 digits to the right of the decimal point", "session_id": 1613, "sequence_id": 136, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 1613, "sequence_id": 137, "annotations": []}
{"role": "student", "content": "Oh", "session_id": 1613, "sequence_id": 138, "annotations": []}
{"role": "student", "content": "I get it", "session_id": 1613, "sequence_id": 139, "annotations": []}
{"role": "volunteer", "content": "yayy", "session_id": 1613, "sequence_id": 140, "annotations": []}
{"role": "student", "content": "I didn't get the problem really right.", "session_id": 1613, "sequence_id": 141, "annotations": []}
{"role": "volunteer", "content": "whatd you say?", "session_id": 1613, "sequence_id": 142, "annotations": []}
{"role": "student", "content": "Um, I didn't really get the problem really well, but now I reread it.", "session_id": 1613, "sequence_id": 143, "annotations": []}
{"role": "student", "content": "I got it", "session_id": 1613, "sequence_id": 144, "annotations": []}
{"role": "volunteer", "content": "oh ok yay!", "session_id": 1613, "sequence_id": 145, "annotations": []}
{"role": "student", "content": "This, this is 10, 5 or whatever exponent.", "session_id": 1613, "sequence_id": 146, "annotations": []}
{"role": "student", "content": "It is like however much digits or it depends.", "session_id": 1613, "sequence_id": 147, "annotations": []}
{"role": "volunteer", "content": "yes it is based on the exponent", "session_id": 1613, "sequence_id": 148, "annotations": []}
{"role": "student", "content": "Oh, so basically if it's like", "session_id": 1613, "sequence_id": 149, "annotations": []}
{"role": "student", "content": "7 to the power of 5. There's 5 digits after the decimal point.", "session_id": 1613, "sequence_id": 150, "annotations": []}
{"role": "volunteer", "content": "well with whole numbers that isn't how it would work since there wouldn't really be a decimal point present in the number", "session_id": 1613, "sequence_id": 151, "annotations": []}
{"role": "volunteer", "content": "but for decimal numbers it would work like that", "session_id": 1613, "sequence_id": 152, "annotations": []}
{"role": "student", "content": "Oops, I mean", "session_id": 1613, "sequence_id": 153, "annotations": []}
{"role": "student", "content": "0.5 to the power of", "session_id": 1613, "sequence_id": 154, "annotations": []}
{"role": "student", "content": "5, it's probably so is it going to be 5 digits after the decimal point.", "session_id": 1613, "sequence_id": 155, "annotations": []}
{"role": "student", "content": "at the 40 answer", "session_id": 1613, "sequence_id": 156, "annotations": []}
{"role": "volunteer", "content": "yepp", "session_id": 1613, "sequence_id": 157, "annotations": []}
{"role": "student", "content": "So basically in this problem, it's look the the the", "session_id": 1613, "sequence_id": 158, "annotations": []}
{"role": "student", "content": "the, the exponent is.", "session_id": 1613, "sequence_id": 159, "annotations": []}
{"role": "student", "content": "the answer", "session_id": 1613, "sequence_id": 160, "annotations": []}
{"role": "volunteer", "content": "yess!!", "session_id": 1613, "sequence_id": 161, "annotations": []}
{"role": "volunteer", "content": "yayy good job", "session_id": 1613, "sequence_id": 162, "annotations": []}
{"role": "student", "content": "Thank, thank you.", "session_id": 1613, "sequence_id": 163, "annotations": []}
{"role": "student", "content": "You're so helpful.", "session_id": 1613, "sequence_id": 164, "annotations": []}
{"role": "volunteer", "content": "of course loll im glad you understand it", "session_id": 1613, "sequence_id": 165, "annotations": []}
{"role": "student", "content": "Hopefully we can see each other.", "session_id": 1613, "sequence_id": 166, "annotations": []}
{"role": "student", "content": "um.", "session_id": 1613, "sequence_id": 167, "annotations": []}
{"role": "student", "content": "again", "session_id": 1613, "sequence_id": 168, "annotations": []}
{"role": "student", "content": "I", "session_id": 1613, "sequence_id": 169, "annotations": []}
{"role": "volunteer", "content": "yes hopefully we do", "session_id": 1613, "sequence_id": 170, "annotations": []}
{"role": "student", "content": "I mean by.", "session_id": 1613, "sequence_id": 171, "annotations": []}
{"role": "volunteer", "content": "bye!! :))", "session_id": 1613, "sequence_id": 172, "annotations": []}
{"role": "student", "content": "hi", "session_id": 1553, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "wsp", "session_id": 1553, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "Hello Jamie, I am great!", "session_id": 1553, "sequence_id": 2, "annotations": [{"pii_type": "PERSON", "surrogate": "Jamie", "start": 6, "end": 11}]}
{"role": "volunteer", "content": "How are you?", "session_id": 1553, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "good", "session_id": 1553, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "can u pls help me with a st math assignment", "session_id": 1553, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "Sounds great, what do you need help with today?", "session_id": 1553, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "Of course I can, would you mind sharing it or explaining it to me?", "session_id": 1553, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "can I share my screen", "session_id": 1553, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "Could you explain to me what your assingment is to do?", "session_id": 1553, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "I think I have too put the numbers on the number line based on the problem", "session_id": 1553, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "Okay great! now do you know what the sign inbetween the W and the 0.31 is ?", "session_id": 1553, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "umm", "session_id": 1553, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "I think the water is for w", "session_id": 1553, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "and the sand is the other", "session_id": 1553, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "Okay, great! what about the sign in between the water and the 0.31?", "session_id": 1553, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "I think that is the thing that says if it is greater or smaller", "session_id": 1553, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "Your on the right track!", "session_id": 1553, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "Is it greater or lesser", "session_id": 1553, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "or if it has a line it could also be equal with whatever else it has", "session_id": 1553, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "YES, you got it now which one is it!", "session_id": 1553, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "umm I think it is greater", "session_id": 1553, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "Not quite, try again!", "session_id": 1553, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "oh wait", "session_id": 1553, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "its smaller", "session_id": 1553, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "YES, the sign means smaller than or equal to 0.31.", "session_id": 1553, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "wait so would it be water or sand", "session_id": 1553, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "idk", "session_id": 1553, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "How you know that is by thinking of an alligator, who is eating the bigger number, meaning it has to be smaller or equal to that number.", "session_id": 1553, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "0.31 would count as water then", "session_id": 1553, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "oh", "session_id": 1553, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "Since we said that it can also be equal to", "session_id": 1553, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "Anything greater than 0.31 would be sand.", "session_id": 1553, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "umm would this one be water", "session_id": 1553, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "Which one?", "session_id": 1553, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "the 0.3", "session_id": 1553, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "Great question! Is 0.3 greater or smaller than 0.31", "session_id": 1553, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "What do you think?", "session_id": 1553, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "umm I think smaller", "session_id": 1553, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "YES, so that would be water or sand then?", "session_id": 1553, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "umm water", "session_id": 1553, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "You're doing great Kai!", "session_id": 1553, "sequence_id": 41, "annotations": [{"pii_type": "PERSON", "surrogate": "Kai", "start": 19, "end": 22}]}
{"role": "student", "content": "I think this one would be water", "session_id": 1553, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "0.305?", "session_id": 1553, "sequence_id": 43, "annotations": []}
{"role": "student", "content": "ye", "session_id": 1553, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "Yes, keep going!", "session_id": 1553, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "Now what is it say this time?", "session_id": 1553, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "it says that o.5 is smaller than water", "session_id": 1553, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "Great, so anything smaller than 0.5 will be our sand.", "session_id": 1553, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "ok", "session_id": 1553, "sequence_id": 49, "annotations": []}
{"role": "student", "content": "umm can u pls explain to me what to do if it is equal", "session_id": 1553, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "Okay, in this situation we have 0.5 but 0.5 is not equal to water. SO we would count 0.5 as sand.", "session_id": 1553, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "ok", "session_id": 1553, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "You're doing an amazing job!", "session_id": 1553, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "What about this one? What do you think?", "session_id": 1553, "sequence_id": 54, "annotations": []}
{"role": "student", "content": "um", "session_id": 1553, "sequence_id": 55, "annotations": []}
{"role": "student", "content": "maybe this one would be water the 0.04", "session_id": 1553, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "Yes, it would count as water because it is greater than 0.01", "session_id": 1553, "sequence_id": 57, "annotations": []}
{"role": "student", "content": "would this one also be water", "session_id": 1553, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "Not quite, what do you know about negatives?", "session_id": 1553, "sequence_id": 59, "annotations": []}
{"role": "student", "content": "oh it a negetive", "session_id": 1553, "sequence_id": 60, "annotations": []}
{"role": "student", "content": "ummm", "session_id": 1553, "sequence_id": 61, "annotations": []}
{"role": "student", "content": "they are less then whole numbers", "session_id": 1553, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "Yes, so anything under 0 is a negative and is less.", "session_id": 1553, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "So it would be?", "session_id": 1553, "sequence_id": 64, "annotations": []}
{"role": "student", "content": "sand", "session_id": 1553, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "Yes!", "session_id": 1553, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "You did great!", "session_id": 1553, "sequence_id": 67, "annotations": []}
{"role": "student", "content": "I think this is the next level it usually gets harder", "session_id": 1553, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "Okay that is fine we can get through it together!", "session_id": 1553, "sequence_id": 69, "annotations": []}
{"role": "student", "content": "oh I think now there is no number line", "session_id": 1553, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "That's fine let's imagine a number line being there.", "session_id": 1553, "sequence_id": 71, "annotations": []}
{"role": "student", "content": "ok", "session_id": 1553, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "Now do you thinkk 20.25 is greater or smaller than 20.4?", "session_id": 1553, "sequence_id": 73, "annotations": []}
{"role": "student", "content": "smaller", "session_id": 1553, "sequence_id": 74, "annotations": []}
{"role": "volunteer", "content": "Yes, so it would be?", "session_id": 1553, "sequence_id": 75, "annotations": []}
{"role": "student", "content": "sand", "session_id": 1553, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "Yes it would be!", "session_id": 1553, "sequence_id": 77, "annotations": []}
{"role": "student", "content": "am I right", "session_id": 1553, "sequence_id": 78, "annotations": []}
{"role": "student", "content": "ye", "session_id": 1553, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "You\u2019re doing great! Nothing is hard for you!", "session_id": 1553, "sequence_id": 80, "annotations": []}
{"role": "student", "content": "umm", "session_id": 1553, "sequence_id": 81, "annotations": []}
{"role": "student", "content": "would this be...", "session_id": 1553, "sequence_id": 82, "annotations": []}
{"role": "student", "content": "water", "session_id": 1553, "sequence_id": 83, "annotations": []}
{"role": "volunteer", "content": "Okay do you remember what we said about negative?", "session_id": 1553, "sequence_id": 84, "annotations": []}
{"role": "student", "content": "ye", "session_id": 1553, "sequence_id": 85, "annotations": []}
{"role": "volunteer", "content": "Great so what do you think?", "session_id": 1553, "sequence_id": 86, "annotations": []}
{"role": "student", "content": "its um less than a whole number", "session_id": 1553, "sequence_id": 87, "annotations": []}
{"role": "student", "content": "water cuz its the opposite", "session_id": 1553, "sequence_id": 88, "annotations": []}
{"role": "student", "content": "am I right", "session_id": 1553, "sequence_id": 89, "annotations": []}
{"role": "volunteer", "content": "YES YOU ARE RIGHT! You are doing great!", "session_id": 1553, "sequence_id": 90, "annotations": []}
{"role": "student", "content": "I have to go in like 2 min", "session_id": 1553, "sequence_id": 91, "annotations": []}
{"role": "student", "content": "can we work on this later when it time", "session_id": 1553, "sequence_id": 92, "annotations": []}
{"role": "student", "content": "I will fav u", "session_id": 1553, "sequence_id": 93, "annotations": []}
{"role": "volunteer", "content": "Okay that\u2019s fine! If i am available I would love to help you!", "session_id": 1553, "sequence_id": 94, "annotations": []}
{"role": "student", "content": "but for now can we do this problem", "session_id": 1553, "sequence_id": 95, "annotations": []}
{"role": "volunteer", "content": "Yes of course!", "session_id": 1553, "sequence_id": 96, "annotations": []}
{"role": "student", "content": "I think this would be sand", "session_id": 1553, "sequence_id": 97, "annotations": []}
{"role": "volunteer", "content": "Your doing amazing", "session_id": 1553, "sequence_id": 98, "annotations": []}
{"role": "student", "content": "bye I think I have too go now ty", "session_id": 1553, "sequence_id": 99, "annotations": []}
{"role": "volunteer", "content": "hello", "session_id": 1652, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "hi", "session_id": 1652, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "how may I help you this afternoon?", "session_id": 1652, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "do you have a math question?", "session_id": 1652, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "no", "session_id": 1652, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "Oh.", "session_id": 1652, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "Ok, you are just testing the site, is that right?", "session_id": 1652, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "no", "session_id": 1652, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "?", "session_id": 1652, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "im hear to learn algebrea", "session_id": 1652, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "i dont know any", "session_id": 1652, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "what are you taking in school?", "session_id": 1652, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "can we turn the mic on insted", "session_id": 1652, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "e", "session_id": 1652, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "Sorry, I cannot use the mic today.", "session_id": 1652, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "ok", "session_id": 1652, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "Leo", "session_id": 1652, "sequence_id": 16, "annotations": [{"pii_type": "PERSON", "surrogate": "Leo", "start": 0, "end": 3}]}
{"role": "volunteer", "content": "what grade are you in?", "session_id": 1652, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "fifth", "session_id": 1652, "sequence_id": 18, "annotations": [{"pii_type": "GRADE_LEVEL", "surrogate": "fifth", "start": 0, "end": 5}]}
{"role": "volunteer", "content": "Hi! What do you need help with?", "session_id": 1684, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "Hi yeah I need help with some questions on IXL. I'm trying to put the questions on the board but it says \"attempting to connect the whiteboard.", "session_id": 1684, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "Yeah, same for me. That's weird.", "session_id": 1684, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "Do you want to type it out instead, since image uploading isn't working?", "session_id": 1684, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "I think the platform is having a malfunction or something like that... we could use the chat but whiteboard would be way easier and way easier to understand the question you know?", "session_id": 1684, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "Yeah, I understand, but it seems like chat is the only option here", "session_id": 1684, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "can you share screen? or is it not allowing you?", "session_id": 1684, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "No, it isn't allowing me", "session_id": 1684, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "we could use audio? I don't know. I don't know why the whiteboard's suddenly not working", "session_id": 1684, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "Sure", "session_id": 1684, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "Hi how can I help you", "session_id": 1654, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "haii im doing radians and degrees", "session_id": 1654, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 1654, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "To convert from degrees to radians, multiply by pi/180", "session_id": 1654, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "oki", "session_id": 1654, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "so the degrees would cross cancel right?", "session_id": 1654, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "Yes", "session_id": 1654, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "so i would divide 29/18 times pi?", "session_id": 1654, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "You would just give the answer as 29/18 pi", "session_id": 1654, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "It says exact answer", "session_id": 1654, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "oki", "session_id": 1654, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "So you would simplify the fraction as much as you can and then just input that with pi", "session_id": 1654, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "oki", "session_id": 1654, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "Do you have any other questions?", "session_id": 1654, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "yea 1 more", "session_id": 1654, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "Ok", "session_id": 1654, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "Btw, to go from radians to degrees you just flip the pi/180 180/pi", "session_id": 1654, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "oki", "session_id": 1654, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "so this would be 8pi/9 radians x 180 degrees right?", "session_id": 1654, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "Ok so we are going from radians to degrees", "session_id": 1654, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "Ok we are trying to get rid of hte pi", "session_id": 1654, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "*the", "session_id": 1654, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "oki", "session_id": 1654, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "So we need pi on top and bottom", "session_id": 1654, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "So when pi is on top and bottom, it cancels right?", "session_id": 1654, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "yes", "session_id": 1654, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "Ok", "session_id": 1654, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "Why don't you go ahead and try it", "session_id": 1654, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "would i have to make the value a fraction?", "session_id": 1654, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "so the value/1", "session_id": 1654, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "No you don't you can just multiple 8*180 on top", "session_id": 1654, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "Or you can see 180 can divide into 9", "session_id": 1654, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "oki", "session_id": 1654, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "Then you can do 8*20", "session_id": 1654, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "What do you get?", "session_id": 1654, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "160", "session_id": 1654, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "Ok", "session_id": 1654, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "Great", "session_id": 1654, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "Yes", "session_id": 1654, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "i could do 8*180 then divide by 9 right?", "session_id": 1654, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "Yes", "session_id": 1654, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "But I think that it's easier to just do it the way I did it", "session_id": 1654, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "You can do it in your head", "session_id": 1654, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "Do you see what I mean?", "session_id": 1654, "sequence_id": 43, "annotations": []}
{"role": "student", "content": "yes", "session_id": 1654, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "Ok", "session_id": 1654, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "160 degrees is the answer", "session_id": 1654, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "Right", "session_id": 1654, "sequence_id": 47, "annotations": []}
{"role": "student", "content": "oki", "session_id": 1654, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "So in summary, use pi/180 180/pi to convert", "session_id": 1654, "sequence_id": 49, "annotations": []}
{"role": "student", "content": "oki", "session_id": 1654, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "Do you have any other questions", "session_id": 1654, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "nope", "session_id": 1654, "sequence_id": 52, "annotations": []}
{"role": "student", "content": "thank you", "session_id": 1654, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 1654, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "You're welcome", "session_id": 1654, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "Hello John", "session_id": 1666, "sequence_id": 0, "annotations": [{"pii_type": "PERSON", "surrogate": "John", "start": 6, "end": 10}]}
{"role": "student", "content": "hello", "session_id": 1666, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "Please post your problem or ask the the tutor", "session_id": 1666, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "can i share the screen", "session_id": 1666, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "You can try but I never shared the screen before", "session_id": 1666, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "i did a screen shot", "session_id": 1666, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "I do not see anything on the bard", "session_id": 1666, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "board", "session_id": 1666, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "I just see three dots", "session_id": 1666, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "it says attempting to connect white board", "session_id": 1666, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "5 more than twice a number \nx\nx\n\n2\nx\n+\n5", "session_id": 1666, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "is this correct", "session_id": 1666, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "You can do the mic.", "session_id": 1666, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "Yes it is 2x+5", "session_id": 1666, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "You can do the mic, OK. Can you hear us?", "session_id": 1666, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "Oh, he said yes, it is 2 x.", "session_id": 1666, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "I do not have the mic", "session_id": 1666, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "What is twice the sum of the number x and 5", "session_id": 1666, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "What is the problem?", "session_id": 1666, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "Sum of the number x and 5 is x+5 and twice will be 2(x+5)", "session_id": 1666, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "What is 5 less than twice a number x", "session_id": 1666, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "Can you tell me first?", "session_id": 1666, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "What is 2 times of number x?", "session_id": 1666, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "is it 5 (x-2)?", "session_id": 1666, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "Try again", "session_id": 1666, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "or 2x - 5", "session_id": 1666, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "First ell me what is 2 times the x", "session_id": 1666, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "2x-5 is correct", "session_id": 1666, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "2 times the number x is 2x and then you subtract 5 from the number", "session_id": 1666, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "It means 2x-5 is correct answer", "session_id": 1666, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "Oh okay", "session_id": 1666, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "Emily walks dogs for \n$\n15\n$15 each and charges a one-time household fee of \n$\n10\n$10", "session_id": 1666, "sequence_id": 31, "annotations": [{"pii_type": "PERSON", "surrogate": "Emily", "start": 0, "end": 5}]}
{"role": "volunteer", "content": "What is next part of the problem", "session_id": 1666, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "is it 10x + 15x", "session_id": 1666, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "u have to drag it into like parts", "session_id": 1666, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "I do not see the rest of the problem", "session_id": 1666, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "Please type it in the chat box", "session_id": 1666, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "Emily walks dogs for \n$\n15\n$15 each and charges a one-time household fee of \n$\n10\n$10", "session_id": 1666, "sequence_id": 37, "annotations": [{"pii_type": "PERSON", "surrogate": "Emily", "start": 0, "end": 5}]}
{"role": "volunteer", "content": "I see this part", "session_id": 1666, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "Next what do you want to find the answer", "session_id": 1666, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "and the answer choices are 10x + 15x and 15x + 10 and 10 (x+1) and 10x + 15 and 15x - 10", "session_id": 1666, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "Do you want to know how much she charges every time or how much she will charge after x number of time?", "session_id": 1666, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "How much she charges everytime", "session_id": 1666, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "Ill try my best by myself", "session_id": 1666, "sequence_id": 43, "annotations": []}
{"role": "student", "content": "bye", "session_id": 1666, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "Hello Jamie, how can I help you?", "session_id": 1704, "sequence_id": 0, "annotations": [{"pii_type": "PERSON", "surrogate": "Jamie", "start": 6, "end": 11}]}
{"role": "student", "content": "hello! I'm currently learning about how to solve systems of inequalities, and I'm confused about a certain problem on how to graph it. I was wondering if you could help?", "session_id": 1704, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "yeah, no problem!", "session_id": 1704, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "it seems my whiteboard isnt connecting but let me try get it to work", "session_id": 1704, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "okay", "session_id": 1704, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "just wanted to check, are they linear inequalities?", "session_id": 1704, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "yes", "session_id": 1704, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "ok let me explain how to do it i dont think youll need a whiteboard for it", "session_id": 1704, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "ok so usually theyll give you a bunch of lines equations", "session_id": 1704, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "are you confident in drawing the lines on a graph?", "session_id": 1704, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "hi how are you", "session_id": 1678, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "Hello", "session_id": 1678, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "This has to do with the midsegment theorem", "session_id": 1678, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "explain please", "session_id": 1678, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "are you familiar with the midsegment theorem?", "session_id": 1678, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "no not really", "session_id": 1678, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "oh", "session_id": 1678, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "Can I try something", "session_id": 1678, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "A midsegment connects the midpoint of two sides", "session_id": 1678, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "ah ha", "session_id": 1678, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "A midsegment is parallel to the base and half its length", "session_id": 1678, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "so EF =7", "session_id": 1678, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "Ok", "session_id": 1678, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "That means that DA also =7", "session_id": 1678, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "Ok", "session_id": 1678, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "since FB =9, and since F is the midpoint of that side, then FA must also =9", "session_id": 1678, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "Okay I understand", "session_id": 1678, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "Now you can figure out the perimeter of DEFA\\", "session_id": 1678, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "I think so", "session_id": 1678, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "Do we just add up all the sides?", "session_id": 1678, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "Yes, that is what perimeter means", "session_id": 1678, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "There wouldn't be a 10", "session_id": 1678, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "Ok I see why now", "session_id": 1678, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "Its just DEFA", "session_id": 1678, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "is 32 the answer", "session_id": 1678, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 1678, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "Yay", "session_id": 1678, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "Sir", "session_id": 1678, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "Are you still there", "session_id": 1678, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 1678, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "Are we able to move one to the question", "session_id": 1678, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "There is a theorem also for #10", "session_id": 1678, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "I am not sure on how to do this one", "session_id": 1678, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "the measure of S equals 1/2 the difference in the measures of the intercepted arcs", "session_id": 1678, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "I see", "session_id": 1678, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "So is the answer 34?", "session_id": 1678, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "I believe that the answer is 39 degrees", "session_id": 1678, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "how?", "session_id": 1678, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "the arc TR is 68 degrees, right?", "session_id": 1678, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "Yes sir", "session_id": 1678, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "that means the major arc running from R to U to T must 360 -68 =292", "session_id": 1678, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "since TU =RU, RI is half 292 = 146", "session_id": 1678, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "Ok", "session_id": 1678, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "the measure of S equals 1/2 the difference between those two arcs", "session_id": 1678, "sequence_id": 43, "annotations": []}
{"role": "student", "content": "Ok", "session_id": 1678, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "Are you all set now?", "session_id": 1678, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "I think so", "session_id": 1678, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "Sir", "session_id": 1678, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "For #11 you would use the formula Area = 1/2 ab sin(\ud835\udf03)", "session_id": 1678, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "How would I put that into a  calculator", "session_id": 1678, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "where theta is the angle in between the two given sides", "session_id": 1678, "sequence_id": 50, "annotations": []}
{"role": "student", "content": "Rs and ts", "session_id": 1678, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "I wrote it on the board below the problem. Do you see it?", "session_id": 1678, "sequence_id": 52, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 1678, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "Can you do that calculation?", "session_id": 1678, "sequence_id": 54, "annotations": []}
{"role": "student", "content": "I am not sure how to put it in the calculator", "session_id": 1678, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "It would be a good idea to learn how to use your calculator, because  you need a calculator for a question like this.", "session_id": 1678, "sequence_id": 56, "annotations": []}
{"role": "student", "content": "I got 1.9", "session_id": 1678, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "No, that's not right.", "session_id": 1678, "sequence_id": 58, "annotations": []}
{"role": "student", "content": "I don\u2019t think that right", "session_id": 1678, "sequence_id": 59, "annotations": []}
{"role": "student", "content": "Do you use geogebra", "session_id": 1678, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "I did it on the online calculator", "session_id": 1678, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "do you see it?", "session_id": 1678, "sequence_id": 62, "annotations": []}
{"role": "student", "content": "Nope I did not see it", "session_id": 1678, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "It's below the worksheets", "session_id": 1678, "sequence_id": 64, "annotations": []}
{"role": "student", "content": "Ohhhhhhh", "session_id": 1678, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "Do you see the answer?", "session_id": 1678, "sequence_id": 66, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 1678, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "OK, that's it for those problems.", "session_id": 1678, "sequence_id": 68, "annotations": []}
{"role": "student", "content": "Yup", "session_id": 1678, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "have a good evening", "session_id": 1678, "sequence_id": 70, "annotations": []}
{"role": "student", "content": "You too", "session_id": 1678, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "bye", "session_id": 1678, "sequence_id": 72, "annotations": []}
{"role": "student", "content": "Byee", "session_id": 1678, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "Hello!", "session_id": 1711, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "hello", "session_id": 1711, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "It seems I can't connect to the whiteboard. Can you see anything?", "session_id": 1711, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "it is not working for me either", "session_id": 1711, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "rip", "session_id": 1711, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "refreshing didn't work for me either", "session_id": 1711, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "ill try", "session_id": 1711, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "no clue whats going", "session_id": 1711, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "If you think you can describe the issue in chat, go for it! Otherwise, perhaps a different session/time would work", "session_id": 1711, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "im doing graph stuff", "session_id": 1711, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "That would help to have a whiteboard huh", "session_id": 1711, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "yeah it fs would", "session_id": 1711, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "I need to find domain and range", "session_id": 1711, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "Do you have a formula for the function or is it just a picture?", "session_id": 1711, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "just a picture", "session_id": 1711, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "want to favorite me", "session_id": 1711, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "I can tell you range is the allowable y values (how far the function goes up and down)", "session_id": 1711, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "And domain is the allowable x values (how far the function goes left and right)", "session_id": 1711, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "But that's about it", "session_id": 1711, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "I'll end the session here since this is a bit hopeless. Apologies for the website, and good luck!", "session_id": 1711, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "all good thank you", "session_id": 1711, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "hi", "session_id": 1727, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "how can I help you", "session_id": 1727, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "i need help with a problem", "session_id": 1727, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "Can u share the problem pls", "session_id": 1727, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "yes", "session_id": 1727, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "First lets take care of the division thing first", "session_id": 1727, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "So for exponents what do u do for division", "session_id": 1727, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "5", "session_id": 1727, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "What do u mean by 5", "session_id": 1727, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "nvm", "session_id": 1727, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "Oh ok", "session_id": 1727, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "So for division in exponents we subtract them to find the exponents after dividing", "session_id": 1727, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "so that would be???", "session_id": 1727, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "im sorry i'm confused", "session_id": 1727, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "So exponents in division like these", "session_id": 1727, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "we subtracted", "session_id": 1727, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "them to find the exponents of x after dividing", "session_id": 1727, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "x/x= x", "session_id": 1727, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "ok", "session_id": 1727, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "can u solve this for me", "session_id": 1727, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "so the answer would be x^1", "session_id": 1727, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "yeah good job", "session_id": 1727, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "oh okay thank you", "session_id": 1727, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "So we are left with x^1*x", "session_id": 1727, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "so the x actually is x^1", "session_id": 1727, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "both of them are", "session_id": 1727, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "okay", "session_id": 1727, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "so for multiplying we do what to the exponents?", "session_id": 1727, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "HInt: Think of the opposite of subtrcating", "session_id": 1727, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "it would be x", "session_id": 1727, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "right", "session_id": 1727, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "Not really because there is a one right next to the other x", "session_id": 1727, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "oh", "session_id": 1727, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "can u try solving it", "session_id": 1727, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "would it be 2", "session_id": 1727, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 1727, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "so the final answer is??", "session_id": 1727, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "2^1", "session_id": 1727, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "no is actually x^2", "session_id": 1727, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "ohh right mb", "session_id": 1727, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "because x times x is just x", "session_id": 1727, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "oh okay", "session_id": 1727, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 1727, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "Do u have any more questions", "session_id": 1727, "sequence_id": 43, "annotations": []}
{"role": "student", "content": "nope", "session_id": 1727, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "ok then", "session_id": 1727, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "Bye!!!", "session_id": 1727, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "hello", "session_id": 1802, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "Hello", "session_id": 1802, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "Are you able to see my image", "session_id": 1802, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "yes im looking", "session_id": 1802, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "Are you drawing on the image", "session_id": 1802, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "not yet,...just getting a handle on it", "session_id": 1802, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "ok so first lets see what we know", "session_id": 1802, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "Okay ! I am going to go to the bathroom be right back", "session_id": 1802, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "ha!,..ok", "session_id": 1802, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "I am back", "session_id": 1802, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "ok,https://example.com heres what we have so far", "session_id": 1802, "sequence_id": 10, "annotations": [{"pii_type": "URL", "surrogate": "https://example.com", "start": 3, "end": 22}]}
{"role": "volunteer", "content": "<B and <C are supplemental,https://mathpix.comm 180,https://example.orgmember?", "session_id": 1802, "sequence_id": 11, "annotations": [{"pii_type": "URL", "surrogate": "https://mathpix.com", "start": 27, "end": 46}, {"pii_type": "URL", "surrogate": "https://example.org", "start": 52, "end": 71}]}
{"role": "student", "content": "mm okay", "session_id": 1802, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "so we can figure that <c 105 deg,https://google.come that on board?", "session_id": 1802, "sequence_id": 13, "annotations": [{"pii_type": "URL", "surrogate": "https://google.com", "start": 33, "end": 51}]}
{"role": "student", "content": "How did you get that", "session_id": 1802, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "Sarahhttps://wikipedia.org <C + <B (75) = 180", "session_id": 1802, "sequence_id": 15, "annotations": [{"pii_type": "PERSON", "surrogate": "Sarah", "start": 0, "end": 5}, {"pii_type": "URL", "surrogate": "https://wikipedia.org", "start": 5, "end": 26}]}
{"role": "volunteer", "content": "solve for <C,.....105,https://math.stackexchange.comd then its bisected", "session_id": 1802, "sequence_id": 16, "annotations": [{"pii_type": "URL", "surrogate": "https://math.stackexchange.com", "start": 22, "end": 52}]}
{"role": "student", "content": "Ohh ok", "session_id": 1802, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "and so half of it is 52.5 deg", "session_id": 1802, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "So now we have two of the three angles of the triangle FCB", "session_id": 1802, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "Alright okay", "session_id": 1802, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "and all triangle angles summ 180 so find <F in red", "session_id": 1802, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "got it?", "session_id": 1802, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "Okay", "session_id": 1802, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "=____?", "session_id": 1802, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "Would it be 3", "session_id": 1802, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "the three angles must sum 180", "session_id": 1802, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "<", "session_id": 1802, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "Is angle F 52.5", "session_id": 1802, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "yes, great!!!", "session_id": 1802, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "Ready for the next question", "session_id": 1802, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "so now <EFA + <EFG = 180,https://quizlet.comnd <EFA", "session_id": 1802, "sequence_id": 31, "annotations": [{"pii_type": "URL", "surrogate": "https://quizlet.com", "start": 25, "end": 44}]}
{"role": "student", "content": "105?", "session_id": 1802, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "180 is a straight line,https://mathisfun.comd <EFA and <EFG summ 180,", "session_id": 1802, "sequence_id": 33, "annotations": [{"pii_type": "URL", "surrogate": "https://mathisfun.com", "start": 23, "end": 44}]}
{"role": "student", "content": "Okay so it would 180 - 52.5", "session_id": 1802, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "and we now know <EFG is 52.5", "session_id": 1802, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "yup", "session_id": 1802, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "So the answer 127.5", "session_id": 1802, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "yes,https://algebra.com convinced?", "session_id": 1802, "sequence_id": 38, "annotations": [{"pii_type": "URL", "surrogate": "https://algebra.com", "start": 4, "end": 23}]}
{"role": "student", "content": "Yeah", "session_id": 1802, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "k", "session_id": 1802, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "Ready for the next question", "session_id": 1802, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "k", "session_id": 1802, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "know what the trig sine is?", "session_id": 1802, "sequence_id": 43, "annotations": []}
{"role": "student", "content": "Yes sir", "session_id": 1802, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "ha, sounds military,https://youtube.com/watch?v=123ve twent push ups", "session_id": 1802, "sequence_id": 45, "annotations": [{"pii_type": "URL", "surrogate": "https://youtube.com/watch?v=123", "start": 20, "end": 51}]}
{"role": "student", "content": "Haha lol", "session_id": 1802, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "ok, do ya see how we could use the sin function of the red angle", "session_id": 1802, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "not sin, sine", "session_id": 1802, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "Yes we have our opposite and hypotenuse so now we need to find our adjacent", "session_id": 1802, "sequence_id": 49, "annotations": []}
{"role": "student", "content": "So cos?", "session_id": 1802, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "we dont need the other side, we have all we need", "session_id": 1802, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "they want the angle", "session_id": 1802, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "not the side length", "session_id": 1802, "sequence_id": 53, "annotations": []}
{"role": "student", "content": "What about tan", "session_id": 1802, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "ha, yea, whatever", "session_id": 1802, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "see my writing?", "session_id": 1802, "sequence_id": 56, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 1802, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "so calc the ratio and use that to get the angle on your calculator", "session_id": 1802, "sequence_id": 58, "annotations": []}
{"role": "student", "content": "Okay", "session_id": 1802, "sequence_id": 59, "annotations": []}
{"role": "student", "content": "I got 11.536", "session_id": 1802, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "Awesome!!!!!!!!!", "session_id": 1802, "sequence_id": 61, "annotations": []}
{"role": "student", "content": "Oh yeahhhhh", "session_id": 1802, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "thats degrees", "session_id": 1802, "sequence_id": 63, "annotations": []}
{"role": "student", "content": "Okay", "session_id": 1802, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "you still owe me twenty push ups", "session_id": 1802, "sequence_id": 65, "annotations": []}
{"role": "student", "content": "Haha", "session_id": 1802, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "you good?", "session_id": 1802, "sequence_id": 67, "annotations": []}
{"role": "student", "content": "One more question", "session_id": 1802, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "k", "session_id": 1802, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "so I marked the equal lengths first", "session_id": 1802, "sequence_id": 70, "annotations": []}
{"role": "student", "content": "ah ha", "session_id": 1802, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "I like to put down what we know", "session_id": 1802, "sequence_id": 72, "annotations": []}
{"role": "student", "content": "Same", "session_id": 1802, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "im thinkin", "session_id": 1802, "sequence_id": 74, "annotations": []}
{"role": "student", "content": "same same", "session_id": 1802, "sequence_id": 75, "annotations": []}
{"role": "student", "content": "Omg wait I think that you were my tutor today and then my iPad died when the call began", "session_id": 1802, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "oh yea, that happens", "session_id": 1802, "sequence_id": 77, "annotations": []}
{"role": "student", "content": "figured", "session_id": 1802, "sequence_id": 78, "annotations": []}
{"role": "student", "content": "Is that right", "session_id": 1802, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "oh wait,https://mathworld.wolfram.com that triangle BDC is a isometric,.....I mean the", "session_id": 1802, "sequence_id": 80, "annotations": [{"pii_type": "URL", "surrogate": "https://mathworld.wolfram.com", "start": 8, "end": 37}]}
{"role": "volunteer", "content": "the <D and <C are equal,...", "session_id": 1802, "sequence_id": 81, "annotations": []}
{"role": "student", "content": "Ohhhh okay", "session_id": 1802, "sequence_id": 82, "annotations": []}
{"role": "student", "content": "Do you watch stranger things", "session_id": 1802, "sequence_id": 83, "annotations": []}
{"role": "volunteer", "content": "no I am strange", "session_id": 1802, "sequence_id": 84, "annotations": []}
{"role": "student", "content": "Lol", "session_id": 1802, "sequence_id": 85, "annotations": []}
{"role": "volunteer", "content": "how did ya get 180 - 32 idea?", "session_id": 1802, "sequence_id": 86, "annotations": []}
{"role": "student", "content": "A straight line 180 so u subtract the angle A to get angle BDC", "session_id": 1802, "sequence_id": 87, "annotations": []}
{"role": "volunteer", "content": "yea but <A isnt part of the <B", "session_id": 1802, "sequence_id": 88, "annotations": []}
{"role": "student", "content": "oh", "session_id": 1802, "sequence_id": 89, "annotations": []}
{"role": "student", "content": "You still there", "session_id": 1802, "sequence_id": 90, "annotations": []}
{"role": "volunteer", "content": "oh wait I just found something", "session_id": 1802, "sequence_id": 91, "annotations": []}
{"role": "volunteer", "content": "oh no, I need the lengths", "session_id": 1802, "sequence_id": 92, "annotations": []}
{"role": "student", "content": "Ohhh", "session_id": 1802, "sequence_id": 93, "annotations": []}
{"role": "volunteer", "content": "oh wait again,https://khanacademy.orgnce the tri ABD has two =sides,https://byjus.comos base angles are the same", "session_id": 1802, "sequence_id": 94, "annotations": [{"pii_type": "URL", "surrogate": "https://khanacademy.org", "start": 14, "end": 37}, {"pii_type": "URL", "surrogate": "https://byjus.com", "start": 68, "end": 85}]}
{"role": "student", "content": "Oh ok", "session_id": 1802, "sequence_id": 95, "annotations": []}
{"role": "volunteer", "content": "116", "session_id": 1802, "sequence_id": 96, "annotations": []}
{"role": "student", "content": "Ohhhhhh that makes way more sense", "session_id": 1802, "sequence_id": 97, "annotations": []}
{"role": "volunteer", "content": "so now,....116 + <DBC=180", "session_id": 1802, "sequence_id": 98, "annotations": []}
{"role": "volunteer", "content": "64,...right?", "session_id": 1802, "sequence_id": 99, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 1802, "sequence_id": 100, "annotations": []}
{"role": "volunteer", "content": "so now,https://geogebra.orge blue triangle", "session_id": 1802, "sequence_id": 101, "annotations": [{"pii_type": "URL", "surrogate": "https://geogebra.org", "start": 7, "end": 27}]}
{"role": "volunteer", "content": "is a iso,,..what I forgot the word,https://study.comyways. 2 sides equal", "session_id": 1802, "sequence_id": 102, "annotations": [{"pii_type": "URL", "surrogate": "https://study.com", "start": 35, "end": 52}]}
{"role": "volunteer", "content": "the <D and <C are equal", "session_id": 1802, "sequence_id": 103, "annotations": []}
{"role": "volunteer", "content": "so 64 +2*<angles = 180", "session_id": 1802, "sequence_id": 104, "annotations": []}
{"role": "student", "content": "How would I find d and c", "session_id": 1802, "sequence_id": 105, "annotations": []}
{"role": "volunteer", "content": "they are equal", "session_id": 1802, "sequence_id": 106, "annotations": []}
{"role": "volunteer", "content": "and we have the 64 deg one", "session_id": 1802, "sequence_id": 107, "annotations": []}
{"role": "volunteer", "content": "so its 64 + 2x=180", "session_id": 1802, "sequence_id": 108, "annotations": []}
{"role": "student", "content": "Is that right", "session_id": 1802, "sequence_id": 109, "annotations": []}
{"role": "volunteer", "content": "you be fast!!!!!!!!!!!", "session_id": 1802, "sequence_id": 110, "annotations": []}
{"role": "student", "content": "\ud83d\ude02\ud83d\ude02\ud83d\ude02", "session_id": 1802, "sequence_id": 111, "annotations": []}
{"role": "volunteer", "content": "you like Maya mac,....ha?", "session_id": 1802, "sequence_id": 112, "annotations": [{"pii_type": "PERSON", "surrogate": "Maya", "start": 9, "end": 13}]}
{"role": "student", "content": "is it wrong bc if it is then that\u2019s really embarrassing", "session_id": 1802, "sequence_id": 113, "annotations": []}
{"role": "volunteer", "content": "I like that song", "session_id": 1802, "sequence_id": 114, "annotations": []}
{"role": "volunteer", "content": "whats embarassing?", "session_id": 1802, "sequence_id": 115, "annotations": []}
{"role": "student", "content": "if I get it wrong and I did it that fast", "session_id": 1802, "sequence_id": 116, "annotations": []}
{"role": "volunteer", "content": "well then we both be wrong,....misery loves company", "session_id": 1802, "sequence_id": 117, "annotations": []}
{"role": "student", "content": "Lol", "session_id": 1802, "sequence_id": 118, "annotations": []}
{"role": "volunteer", "content": "ok I gotta go do some push ups", "session_id": 1802, "sequence_id": 119, "annotations": []}
{"role": "student", "content": "yay", "session_id": 1802, "sequence_id": 120, "annotations": []}
{"role": "volunteer", "content": "good luck!", "session_id": 1802, "sequence_id": 121, "annotations": []}
{"role": "student", "content": "thanks", "session_id": 1802, "sequence_id": 122, "annotations": []}
{"role": "volunteer", "content": "sure!", "session_id": 1802, "sequence_id": 123, "annotations": []}
{"role": "volunteer", "content": "adios", "session_id": 1802, "sequence_id": 124, "annotations": []}
{"role": "student", "content": "bye", "session_id": 1802, "sequence_id": 125, "annotations": []}
{"role": "volunteer", "content": "Hi, how can I help you?", "session_id": 1811, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "can you help me with some homework", "session_id": 1811, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "please\\", "session_id": 1811, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "Sure!", "session_id": 1811, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "Um", "session_id": 1811, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "OK.", "session_id": 1811, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "can you read it", "session_id": 1811, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "Yes, I can see your whiteboard drawing", "session_id": 1811, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "ok", "session_id": 1811, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "You are solving for the product and the quotient?", "session_id": 1811, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "ok", "session_id": 1811, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "can you show me how tho?????", "session_id": 1811, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "no, I am asking if you are", "session_id": 1811, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "are you?", "session_id": 1811, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "ok huh im confused", "session_id": 1811, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "I remember I'm sorry for making you mad about what it was that they were seeing. I was like,", "session_id": 1811, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "Oh yeah, Sam, um.", "session_id": 1811, "sequence_id": 16, "annotations": [{"pii_type": "PERSON", "surrogate": "Sam", "start": 9, "end": 12}]}
{"role": "student", "content": "OK, everything's working now. Like this", "session_id": 1811, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "is working.", "session_id": 1811, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "I'm just wondering", "session_id": 1811, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "we can", "session_id": 1811, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "if that was what you're supposed to talk for.", "session_id": 1811, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "Uh, if I was unclear, then that's my fault. So don't worry.", "session_id": 1811, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "we", "session_id": 1811, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "So over here", "session_id": 1811, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "You're fine", "session_id": 1811, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 1811, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "Over here, I'm assuming you're looking for the product.", "session_id": 1811, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "which would be when you multiply the two terms.", "session_id": 1811, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "That", "session_id": 1811, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "Yes.", "session_id": 1811, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "OK, so first of all, what can you tell me about signs? As in these things.", "session_id": 1811, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "OK", "session_id": 1811, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "But can you tell me about?", "session_id": 1811, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "on location and I was with the boys for the first time and we were all in our costumes and I think there's actually a video of it like we've been to the air in.", "session_id": 1811, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "Oh.", "session_id": 1811, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "when you", "session_id": 1811, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "when you have to, when you have one sign, a negative sign, and you divide it by a positive sign.", "session_id": 1811, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "Do you keep the negative sign, do you keep the positive sign, or do you switch to a positive.", "session_id": 1811, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "or negative", "session_id": 1811, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "So basically, if you start with a negative sign and you divide it", "session_id": 1811, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "by a positive sign.", "session_id": 1811, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "You keep it as a negative, or do you keep it at, or do you switch it to a positive.", "session_id": 1811, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "Oh, I get it.", "session_id": 1811, "sequence_id": 43, "annotations": []}
{"role": "student", "content": "Or I'm starting to.", "session_id": 1811, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "OK.", "session_id": 1811, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "break it down a bit more then.", "session_id": 1811, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "What is 4 times 2", "session_id": 1811, "sequence_id": 47, "annotations": []}
{"role": "student", "content": "8", "session_id": 1811, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 1811, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "Um", "session_id": 1811, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "now, because do we, is it positive in this scenario? Is it positive 8 or 8?", "session_id": 1811, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "um Positive 8.", "session_id": 1811, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "OK, do you know why", "session_id": 1811, "sequence_id": 53, "annotations": []}
{"role": "student", "content": "No.", "session_id": 1811, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "So when we have to negative signs", "session_id": 1811, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "uh, either multiplied or divided by each other.", "session_id": 1811, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "The negative signs cancel out.", "session_id": 1811, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "So whenever you have two negative signs, you cancel out the negative sign, and you have the product or the quotiented postage.", "session_id": 1811, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "If you", "session_id": 1811, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "have a single positive or if a single negative sign, such as in the case below, you keep it as a negative because you need to cancel, to become a positive.", "session_id": 1811, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "Yeah.", "session_id": 1811, "sequence_id": 61, "annotations": []}
{"role": "student", "content": "Oh, OK.", "session_id": 1811, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "So what is 12 divided by 4.", "session_id": 1811, "sequence_id": 63, "annotations": []}
{"role": "student", "content": "Sorry?", "session_id": 1811, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "Yes. So what is, would it be -3 or positive 3?", "session_id": 1811, "sequence_id": 65, "annotations": []}
{"role": "student", "content": "Positive 3?", "session_id": 1811, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "Why do you think that", "session_id": 1811, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "Well", "session_id": 1811, "sequence_id": 68, "annotations": []}
{"role": "student", "content": "brb", "session_id": 1811, "sequence_id": 69, "annotations": []}
{"role": "student", "content": "ok im back", "session_id": 1811, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 1811, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "So", "session_id": 1811, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "12, 1 by 4 is 3.", "session_id": 1811, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "because there's only one negative sign over here. We would have", "session_id": 1811, "sequence_id": 74, "annotations": []}
{"role": "volunteer", "content": "the portions as a negative.", "session_id": 1811, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "Does that make sense", "session_id": 1811, "sequence_id": 76, "annotations": []}
{"role": "student", "content": "yes", "session_id": 1811, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "hi", "session_id": 1861, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "hi", "session_id": 1861, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "what do u need", "session_id": 1861, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "I don't no that ansswwer", "session_id": 1861, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "thats fine i understand", "session_id": 1861, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "ok wait", "session_id": 1861, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "c", "session_id": 1861, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "also when we are done can you leave the session running so i can get more voleenter hours haha", "session_id": 1861, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "ok", "session_id": 1861, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "why", "session_id": 1861, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "c", "session_id": 1861, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "if you leave it open its just easier for me to get my voleenter hours", "session_id": 1861, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "ok just help me with the answer", "session_id": 1861, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "sure", "session_id": 1861, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "fewer", "session_id": 1861, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "her army", "session_id": 1861, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "thanks you", "session_id": 1861, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "is that it or", "session_id": 1861, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "wait one sec im checking", "session_id": 1861, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "i think its beaten", "session_id": 1861, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "whats the second one", "session_id": 1861, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "show me options for second part", "session_id": 1861, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "powerful", "session_id": 1861, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "a", "session_id": 1861, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "b", "session_id": 1861, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 1861, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 1861, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "hi", "session_id": 1861, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "mb gpt discpnnected", "session_id": 1861, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "if u need any help lmk", "session_id": 1861, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 1861, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 1861, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "hi there!!", "session_id": 1854, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "Hi", "session_id": 1854, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "what would you like help with?", "session_id": 1854, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "Ratios", "session_id": 1854, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "I didn't learn it yet", "session_id": 1854, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "okay, do you have a practice problem we can work on?", "session_id": 1854, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "No", "session_id": 1854, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "do you want me to come up with one?", "session_id": 1854, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "Yes please", "session_id": 1854, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "Since I haven't learned it yet", "session_id": 1854, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "oki", "session_id": 1854, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "so when we are handling ratio problems", "session_id": 1854, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "we can use multiplication and division to make the ratio bigger or smaller", "session_id": 1854, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "so in this case", "session_id": 1854, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "what did we do with the 3 to turn it into 12?", "session_id": 1854, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "did we divide 3 with a number", "session_id": 1854, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "or did we multiply 3 with a number", "session_id": 1854, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "We multiplied ", "session_id": 1854, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "yup!", "session_id": 1854, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "what number do we multiply with 3 to get 12?", "session_id": 1854, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "4", "session_id": 1854, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "yep!", "session_id": 1854, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "Yay!", "session_id": 1854, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "ok thats the first piece of the puzzle", "session_id": 1854, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "now in order to get the number next to 12", "session_id": 1854, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "we gotta do the exact same thign to the 4!", "session_id": 1854, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "which is multiplying by 4", "session_id": 1854, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "so what is 4 times 4?", "session_id": 1854, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "16", "session_id": 1854, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "yes!!", "session_id": 1854, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "we solved it!", "session_id": 1854, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "good job :3", "session_id": 1854, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "YAY!", "session_id": 1854, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "ok lemme give yah another problem", "session_id": 1854, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "Yes!", "session_id": 1854, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "alrighty", "session_id": 1854, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "try this one C:", "session_id": 1854, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "Okay", "session_id": 1854, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "Is it 3:4", "session_id": 1854, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "yup!!!", "session_id": 1854, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "wonderful job C:", "session_id": 1854, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "Yay!", "session_id": 1854, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "do you want more practice?", "session_id": 1854, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 1854, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "oki", "session_id": 1854, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "try dis one c:", "session_id": 1854, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "49:14", "session_id": 1854, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "nice!!!!!", "session_id": 1854, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "dats correct C:", "session_id": 1854, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "aother one?", "session_id": 1854, "sequence_id": 49, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 1854, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": ":D", "session_id": 1854, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "oki try this one", "session_id": 1854, "sequence_id": 52, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 1854, "sequence_id": 53, "annotations": []}
{"role": "student", "content": "9:10", "session_id": 1854, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "Awesome!!!", "session_id": 1854, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "ur really good at this problem!", "session_id": 1854, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "want another?", "session_id": 1854, "sequence_id": 57, "annotations": []}
{"role": "student", "content": "Can we do I word problem", "session_id": 1854, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "oki", "session_id": 1854, "sequence_id": 59, "annotations": []}
{"role": "student", "content": "Cuz no joke I suck at word problems", "session_id": 1854, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "try dis one: The boy-girl ratio in a class was 3 to 5. If there were 24 students total, how many boys were there?", "session_id": 1854, "sequence_id": 61, "annotations": []}
{"role": "student", "content": "Um I need help pls", "session_id": 1854, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "sure C:", "session_id": 1854, "sequence_id": 63, "annotations": []}
{"role": "student", "content": "Thanks", "session_id": 1854, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "so this is how i would find the anser:", "session_id": 1854, "sequence_id": 65, "annotations": []}
{"role": "student", "content": "Ok I'm listening ", "session_id": 1854, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "so we have 3:5 ratio", "session_id": 1854, "sequence_id": 67, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 1854, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "we add the two together 3 plus 5", "session_id": 1854, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "we get 8 right?", "session_id": 1854, "sequence_id": 70, "annotations": []}
{"role": "student", "content": "8", "session_id": 1854, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "ok so the total we have is 24 right?", "session_id": 1854, "sequence_id": 72, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 1854, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "what do we multiply with 8 to get 24?", "session_id": 1854, "sequence_id": 74, "annotations": []}
{"role": "volunteer", "content": "same process as before C:", "session_id": 1854, "sequence_id": 75, "annotations": []}
{"role": "student", "content": "3", "session_id": 1854, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "right!", "session_id": 1854, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "okay so then now we know what we must do", "session_id": 1854, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "multiply by 3", "session_id": 1854, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "so just do that with our original numbers", "session_id": 1854, "sequence_id": 80, "annotations": []}
{"role": "volunteer", "content": "so what would our new ratio be?", "session_id": 1854, "sequence_id": 81, "annotations": []}
{"role": "student", "content": "9:15", "session_id": 1854, "sequence_id": 82, "annotations": []}
{"role": "volunteer", "content": "yup!!!!", "session_id": 1854, "sequence_id": 83, "annotations": []}
{"role": "volunteer", "content": "lets check our answer", "session_id": 1854, "sequence_id": 84, "annotations": []}
{"role": "student", "content": "Ok", "session_id": 1854, "sequence_id": 85, "annotations": []}
{"role": "volunteer", "content": "so we have 9 boys and 15 girls", "session_id": 1854, "sequence_id": 86, "annotations": []}
{"role": "volunteer", "content": "add them together to see how many total student", "session_id": 1854, "sequence_id": 87, "annotations": []}
{"role": "student", "content": "It's 24", "session_id": 1854, "sequence_id": 88, "annotations": []}
{"role": "volunteer", "content": "yup and did our original problem say 24 students total?", "session_id": 1854, "sequence_id": 89, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 1854, "sequence_id": 90, "annotations": []}
{"role": "volunteer", "content": "yayyyy we are correct <:", "session_id": 1854, "sequence_id": 91, "annotations": []}
{"role": "student", "content": ":)", "session_id": 1854, "sequence_id": 92, "annotations": []}
{"role": "volunteer", "content": "want another one?", "session_id": 1854, "sequence_id": 93, "annotations": []}
{"role": "student", "content": "Yes pls", "session_id": 1854, "sequence_id": 94, "annotations": []}
{"role": "volunteer", "content": "oki", "session_id": 1854, "sequence_id": 95, "annotations": []}
{"role": "student", "content": "Yours such a kind soul to help me", "session_id": 1854, "sequence_id": 96, "annotations": []}
{"role": "volunteer", "content": "aweee i love helping yall, i wish i had math help back then so i really enjoy doing this now C:", "session_id": 1854, "sequence_id": 97, "annotations": []}
{"role": "volunteer", "content": "try this one! A fruit salad contains apples and grapes in a ratio of 4:7. If the bowl has a total of 66 pieces of fruit, how many grapes are in the salad?", "session_id": 1854, "sequence_id": 98, "annotations": []}
{"role": "student", "content": "24:42", "session_id": 1854, "sequence_id": 99, "annotations": []}
{"role": "volunteer", "content": "nice!!!!!!", "session_id": 1854, "sequence_id": 100, "annotations": []}
{"role": "volunteer", "content": "dats correct!!", "session_id": 1854, "sequence_id": 101, "annotations": []}
{"role": "student", "content": ":D", "session_id": 1854, "sequence_id": 102, "annotations": []}
{"role": "volunteer", "content": "want another one? :3c", "session_id": 1854, "sequence_id": 103, "annotations": []}
{"role": "student", "content": "Can we try a harder one", "session_id": 1854, "sequence_id": 104, "annotations": []}
{"role": "volunteer", "content": "yuh", "session_id": 1854, "sequence_id": 105, "annotations": []}
{"role": "student", "content": "To put my brain to the test", "session_id": 1854, "sequence_id": 106, "annotations": []}
{"role": "student", "content": "Because sometimes I'm dumb as heck", "session_id": 1854, "sequence_id": 107, "annotations": []}
{"role": "volunteer", "content": "A special concrete mixture requires cement, sand, and gravel to be mixed in a ratio of 1 kg:2 kg:3 kg by weight. If a total 180 kg of concrete mix is needed for a project, how many kilograms of sand are required?", "session_id": 1854, "sequence_id": 108, "annotations": []}
{"role": "student", "content": "30'60:90", "session_id": 1854, "sequence_id": 109, "annotations": []}
{"role": "student", "content": "Ii think", "session_id": 1854, "sequence_id": 110, "annotations": []}
{"role": "volunteer", "content": "yup!!! youre totally correct!", "session_id": 1854, "sequence_id": 111, "annotations": []}
{"role": "student", "content": "30:60:90", "session_id": 1854, "sequence_id": 112, "annotations": []}
{"role": "student", "content": "YAS", "session_id": 1854, "sequence_id": 113, "annotations": []}
{"role": "volunteer", "content": "okay wanna try a super hard one?", "session_id": 1854, "sequence_id": 114, "annotations": []}
{"role": "student", "content": "YES", "session_id": 1854, "sequence_id": 115, "annotations": []}
{"role": "volunteer", "content": "A farmer has chickens and ducks in a field in a ratio of 5:2. If there are 42 birds in total, how many additional ducks would the farmer need to buy to make the new ratio of chickens to ducks 1:1 (equal numbers)?", "session_id": 1854, "sequence_id": 116, "annotations": []}
{"role": "student", "content": "I have been humbled I need help with this one", "session_id": 1854, "sequence_id": 117, "annotations": []}
{"role": "volunteer", "content": "heheheh sure", "session_id": 1854, "sequence_id": 118, "annotations": []}
{"role": "volunteer", "content": "so first lets find out how many chickens and ducks the farmer has", "session_id": 1854, "sequence_id": 119, "annotations": []}
{"role": "volunteer", "content": "can you tell me that? in ratio form?", "session_id": 1854, "sequence_id": 120, "annotations": []}
{"role": "student", "content": "5:2", "session_id": 1854, "sequence_id": 121, "annotations": []}
{"role": "volunteer", "content": "well thats the ratio", "session_id": 1854, "sequence_id": 122, "annotations": []}
{"role": "volunteer", "content": "but da farmer has 42 total birds", "session_id": 1854, "sequence_id": 123, "annotations": []}
{"role": "student", "content": "That's a lot of birds", "session_id": 1854, "sequence_id": 124, "annotations": []}
{"role": "volunteer", "content": "yuh so lets do the process we normally do", "session_id": 1854, "sequence_id": 125, "annotations": []}
{"role": "student", "content": "Ok!", "session_id": 1854, "sequence_id": 126, "annotations": []}
{"role": "volunteer", "content": "so 5 plus 2 is 7 right?", "session_id": 1854, "sequence_id": 127, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 1854, "sequence_id": 128, "annotations": []}
{"role": "volunteer", "content": "and we wanna change 7 into 42", "session_id": 1854, "sequence_id": 129, "annotations": []}
{"role": "volunteer", "content": "what do we do?", "session_id": 1854, "sequence_id": 130, "annotations": []}
{"role": "student", "content": "Multiply the 7 with 6", "session_id": 1854, "sequence_id": 131, "annotations": []}
{"role": "volunteer", "content": "yuh!", "session_id": 1854, "sequence_id": 132, "annotations": []}
{"role": "volunteer", "content": "ok so whats the farmers ratio of birds", "session_id": 1854, "sequence_id": 133, "annotations": []}
{"role": "volunteer", "content": "knowing that you must multiply the original ratio by 6", "session_id": 1854, "sequence_id": 134, "annotations": []}
{"role": "student", "content": "30:12", "session_id": 1854, "sequence_id": 135, "annotations": []}
{"role": "volunteer", "content": "okay!", "session_id": 1854, "sequence_id": 136, "annotations": []}
{"role": "volunteer", "content": "which number is the ducks number?", "session_id": 1854, "sequence_id": 137, "annotations": []}
{"role": "student", "content": "That's where I'm confused", "session_id": 1854, "sequence_id": 138, "annotations": []}
{"role": "volunteer", "content": "oki", "session_id": 1854, "sequence_id": 139, "annotations": []}
{"role": "volunteer", "content": "lemme copy da word problem here", "session_id": 1854, "sequence_id": 140, "annotations": []}
{"role": "volunteer", "content": "A farmer has chickens and ducks in a field in a ratio of 5:2. If there are 42 birds in total, how many additional ducks would the farmer need to buy to make the new ratio of chickens to ducks 1:1 (equal numbers)?", "session_id": 1854, "sequence_id": 141, "annotations": []}
{"role": "volunteer", "content": "so when we read these problems", "session_id": 1854, "sequence_id": 142, "annotations": []}
{"role": "volunteer", "content": "we should write it out like this", "session_id": 1854, "sequence_id": 143, "annotations": []}
{"role": "volunteer", "content": "so 5 first then 2", "session_id": 1854, "sequence_id": 144, "annotations": []}
{"role": "volunteer", "content": "in the problem it mentions chickens THEN ducks", "session_id": 1854, "sequence_id": 145, "annotations": []}
{"role": "student", "content": "Wait does the farmer have 12 ducks", "session_id": 1854, "sequence_id": 146, "annotations": []}
{"role": "volunteer", "content": "yup!!", "session_id": 1854, "sequence_id": 147, "annotations": []}
{"role": "volunteer", "content": "cuz for every 5 chickens he has", "session_id": 1854, "sequence_id": 148, "annotations": []}
{"role": "volunteer", "content": "he has 2 ducks", "session_id": 1854, "sequence_id": 149, "annotations": []}
{"role": "volunteer", "content": "so since he has 30 chickens", "session_id": 1854, "sequence_id": 150, "annotations": []}
{"role": "volunteer", "content": "he has 12 ducks total!", "session_id": 1854, "sequence_id": 151, "annotations": []}
{"role": "student", "content": "YAY!", "session_id": 1854, "sequence_id": 152, "annotations": []}
{"role": "volunteer", "content": "buttt", "session_id": 1854, "sequence_id": 153, "annotations": []}
{"role": "volunteer", "content": "we didnt solve da problem yet", "session_id": 1854, "sequence_id": 154, "annotations": []}
{"role": "volunteer", "content": "A farmer has chickens and ducks in a field in a ratio of 5:2. If there are 42 birds in total, how many additional ducks would the farmer need to buy to make the new ratio of chickens to ducks 1:1 (equal numbers)?", "session_id": 1854, "sequence_id": 155, "annotations": []}
{"role": "volunteer", "content": "we need to know how many ducks he needs to buy in order to get 1:1 ratio", "session_id": 1854, "sequence_id": 156, "annotations": []}
{"role": "student", "content": "Yeah ", "session_id": 1854, "sequence_id": 157, "annotations": []}
{"role": "volunteer", "content": "all of these ratios are similar!", "session_id": 1854, "sequence_id": 158, "annotations": []}
{"role": "volunteer", "content": "because they can be simplified to 1:1", "session_id": 1854, "sequence_id": 159, "annotations": []}
{"role": "student", "content": "How", "session_id": 1854, "sequence_id": 160, "annotations": []}
{"role": "volunteer", "content": "if we check out 3:3", "session_id": 1854, "sequence_id": 161, "annotations": []}
{"role": "volunteer", "content": "we can divide the ratio by 3", "session_id": 1854, "sequence_id": 162, "annotations": []}
{"role": "volunteer", "content": "3 % 3 = 1", "session_id": 1854, "sequence_id": 163, "annotations": []}
{"role": "volunteer", "content": "so both sides become 1", "session_id": 1854, "sequence_id": 164, "annotations": []}
{"role": "student", "content": "Ok", "session_id": 1854, "sequence_id": 165, "annotations": []}
{"role": "volunteer", "content": "we can divide the 9:9 ratio by what to get 1:1?", "session_id": 1854, "sequence_id": 166, "annotations": []}
{"role": "student", "content": "9", "session_id": 1854, "sequence_id": 167, "annotations": []}
{"role": "volunteer", "content": "yup!!", "session_id": 1854, "sequence_id": 168, "annotations": []}
{"role": "volunteer", "content": "how about the 20:20?", "session_id": 1854, "sequence_id": 169, "annotations": []}
{"role": "student", "content": "20", "session_id": 1854, "sequence_id": 170, "annotations": []}
{"role": "volunteer", "content": "yes!!!!", "session_id": 1854, "sequence_id": 171, "annotations": []}
{"role": "student", "content": "But our ratio is 30:12", "session_id": 1854, "sequence_id": 172, "annotations": []}
{"role": "volunteer", "content": "so how many ducks does the farmer need to turn this ratio into something that can be simplified to 1:1?", "session_id": 1854, "sequence_id": 173, "annotations": []}
{"role": "volunteer", "content": "if we have 12 ducks", "session_id": 1854, "sequence_id": 174, "annotations": []}
{"role": "student", "content": "18", "session_id": 1854, "sequence_id": 175, "annotations": []}
{"role": "volunteer", "content": "YES!", "session_id": 1854, "sequence_id": 176, "annotations": []}
{"role": "volunteer", "content": "you solved it!!!!!", "session_id": 1854, "sequence_id": 177, "annotations": []}
{"role": "student", "content": "Wait really", "session_id": 1854, "sequence_id": 178, "annotations": []}
{"role": "volunteer", "content": "yup! the farmer needs to buy 18 ducks to get a 1:1 ratio C:", "session_id": 1854, "sequence_id": 179, "annotations": []}
{"role": "student", "content": "See I totally did that myself", "session_id": 1854, "sequence_id": 180, "annotations": []}
{"role": "volunteer", "content": "hehehe you sure did!!!", "session_id": 1854, "sequence_id": 181, "annotations": []}
{"role": "volunteer", "content": "well done", "session_id": 1854, "sequence_id": 182, "annotations": []}
{"role": "student", "content": "Woohoo!", "session_id": 1854, "sequence_id": 183, "annotations": []}
{"role": "volunteer", "content": "would yah like another practice problem?", "session_id": 1854, "sequence_id": 184, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 1854, "sequence_id": 185, "annotations": []}
{"role": "volunteer", "content": "okay lemme get another hard one", "session_id": 1854, "sequence_id": 186, "annotations": []}
{"role": "student", "content": "Yes!", "session_id": 1854, "sequence_id": 187, "annotations": []}
{"role": "volunteer", "content": "alright this one is pretty hard!", "session_id": 1854, "sequence_id": 188, "annotations": []}
{"role": "volunteer", "content": "A classroom has a certain number of boys and girls. Initially, the ratio of boys to girls is 3:4.\nAfter a field trip, 6 boys and 2 girls leave the classroom. The new ratio of boys to girls becomes 2:3.\nHow many students were in the classroom originally?", "session_id": 1854, "sequence_id": 189, "annotations": []}
{"role": "student", "content": "I thought you said hard not impossible", "session_id": 1854, "sequence_id": 190, "annotations": []}
{"role": "volunteer", "content": "hahahaha dont worry imma show yah some tricks", "session_id": 1854, "sequence_id": 191, "annotations": []}
{"role": "student", "content": "Ok", "session_id": 1854, "sequence_id": 192, "annotations": []}
{"role": "volunteer", "content": "so when we are working with ratios we gotta be able to use variables", "session_id": 1854, "sequence_id": 193, "annotations": []}
{"role": "student", "content": "Ok", "session_id": 1854, "sequence_id": 194, "annotations": []}
{"role": "volunteer", "content": "so lets write some of this stuff down", "session_id": 1854, "sequence_id": 195, "annotations": []}
{"role": "volunteer", "content": "A classroom has a certain number of boys and girls. Initially, the ratio of boys to girls is 3:4.\nAfter a field trip, 6 boys and 2 girls leave the classroom. The new ratio of boys to girls becomes 2:3.\nHow many students were in the classroom originally?", "session_id": 1854, "sequence_id": 196, "annotations": []}
{"role": "volunteer", "content": "this is another form of writing a ratio", "session_id": 1854, "sequence_id": 197, "annotations": []}
{"role": "volunteer", "content": "with a fraction", "session_id": 1854, "sequence_id": 198, "annotations": []}
{"role": "volunteer", "content": "which number is boys? 3 or 4?", "session_id": 1854, "sequence_id": 199, "annotations": []}
{"role": "student", "content": "3", "session_id": 1854, "sequence_id": 200, "annotations": []}
{"role": "volunteer", "content": "yuh", "session_id": 1854, "sequence_id": 201, "annotations": []}
{"role": "volunteer", "content": "so 6 boys left", "session_id": 1854, "sequence_id": 202, "annotations": []}
{"role": "volunteer", "content": "lets write that as -6", "session_id": 1854, "sequence_id": 203, "annotations": []}
{"role": "volunteer", "content": "do you agree?", "session_id": 1854, "sequence_id": 204, "annotations": []}
{"role": "student", "content": "Where do we get -6", "session_id": 1854, "sequence_id": 205, "annotations": []}
{"role": "volunteer", "content": "cuz we are subtracting 6 boys", "session_id": 1854, "sequence_id": 206, "annotations": []}
{"role": "volunteer", "content": "cuz they left", "session_id": 1854, "sequence_id": 207, "annotations": []}
{"role": "student", "content": "Oh", "session_id": 1854, "sequence_id": 208, "annotations": []}
{"role": "volunteer", "content": "yah", "session_id": 1854, "sequence_id": 209, "annotations": []}
{"role": "student", "content": "Yeah sorry", "session_id": 1854, "sequence_id": 210, "annotations": []}
{"role": "volunteer", "content": "no worries silly :C", "session_id": 1854, "sequence_id": 211, "annotations": []}
{"role": "volunteer", "content": "oopsie", "session_id": 1854, "sequence_id": 212, "annotations": []}
{"role": "volunteer", "content": "C:", "session_id": 1854, "sequence_id": 213, "annotations": []}
{"role": "volunteer", "content": "okay so 2 girls left", "session_id": 1854, "sequence_id": 214, "annotations": []}
{"role": "volunteer", "content": "so minus 2?", "session_id": 1854, "sequence_id": 215, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 1854, "sequence_id": 216, "annotations": []}
{"role": "volunteer", "content": "Okay!", "session_id": 1854, "sequence_id": 217, "annotations": []}
{"role": "volunteer", "content": "so now after those people left", "session_id": 1854, "sequence_id": 218, "annotations": []}
{"role": "volunteer", "content": "the ratio is 2:3", "session_id": 1854, "sequence_id": 219, "annotations": []}
{"role": "volunteer", "content": "so im gonna say this new ratio", "session_id": 1854, "sequence_id": 220, "annotations": []}
{"role": "volunteer", "content": "is 2/3", "session_id": 1854, "sequence_id": 221, "annotations": []}
{"role": "volunteer", "content": "does that make sense?", "session_id": 1854, "sequence_id": 222, "annotations": []}
{"role": "student", "content": "It's my enemy a fraction", "session_id": 1854, "sequence_id": 223, "annotations": []}
{"role": "volunteer", "content": "hehehe yeh they sucl", "session_id": 1854, "sequence_id": 224, "annotations": []}
{"role": "volunteer", "content": "suck", "session_id": 1854, "sequence_id": 225, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 1854, "sequence_id": 226, "annotations": []}
{"role": "volunteer", "content": "does this make sense so far?", "session_id": 1854, "sequence_id": 227, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 1854, "sequence_id": 228, "annotations": []}
{"role": "volunteer", "content": "okay now we can add the variable part now", "session_id": 1854, "sequence_id": 229, "annotations": []}
{"role": "volunteer", "content": "so which total do we wanna find", "session_id": 1854, "sequence_id": 230, "annotations": []}
{"role": "volunteer", "content": "before the people left", "session_id": 1854, "sequence_id": 231, "annotations": []}
{"role": "volunteer", "content": "or after the people left?", "session_id": 1854, "sequence_id": 232, "annotations": []}
{"role": "volunteer", "content": "A classroom has a certain number of boys and girls. Initially, the ratio of boys to girls is 3:4.\nAfter a field trip, 6 boys and 2 girls leave the classroom. The new ratio of boys to girls becomes 2:3.\nHow many students were in the classroom originally?", "session_id": 1854, "sequence_id": 233, "annotations": []}
{"role": "student", "content": "Before", "session_id": 1854, "sequence_id": 234, "annotations": []}
{"role": "volunteer", "content": "right!", "session_id": 1854, "sequence_id": 235, "annotations": []}
{"role": "volunteer", "content": "so lets add an x", "session_id": 1854, "sequence_id": 236, "annotations": []}
{"role": "volunteer", "content": "right next to the original ratio numbers", "session_id": 1854, "sequence_id": 237, "annotations": []}
{"role": "volunteer", "content": "this x is a variable", "session_id": 1854, "sequence_id": 238, "annotations": []}
{"role": "volunteer", "content": "it is not a multiplication sight", "session_id": 1854, "sequence_id": 239, "annotations": []}
{"role": "volunteer", "content": "sign", "session_id": 1854, "sequence_id": 240, "annotations": []}
{"role": "student", "content": "Ok", "session_id": 1854, "sequence_id": 241, "annotations": []}
{"role": "volunteer", "content": "okay!", "session_id": 1854, "sequence_id": 242, "annotations": []}
{"role": "volunteer", "content": "we can solve for this now!!", "session_id": 1854, "sequence_id": 243, "annotations": []}
{"role": "volunteer", "content": "do you know how to solve for the x?", "session_id": 1854, "sequence_id": 244, "annotations": []}
{"role": "student", "content": "Cool", "session_id": 1854, "sequence_id": 245, "annotations": []}
{"role": "student", "content": "Do you wanna help me with that to", "session_id": 1854, "sequence_id": 246, "annotations": []}
{"role": "volunteer", "content": "oki sure", "session_id": 1854, "sequence_id": 247, "annotations": []}
{"role": "volunteer", "content": "so we wanna unravel this ugly equation", "session_id": 1854, "sequence_id": 248, "annotations": []}
{"role": "student", "content": "I don't under do I take apart the top and bottom to solve it separately ", "session_id": 1854, "sequence_id": 249, "annotations": []}
{"role": "volunteer", "content": "this is what i would do", "session_id": 1854, "sequence_id": 250, "annotations": []}
{"role": "volunteer", "content": "i hate fractions", "session_id": 1854, "sequence_id": 251, "annotations": []}
{"role": "student", "content": "Same", "session_id": 1854, "sequence_id": 252, "annotations": []}
{"role": "volunteer", "content": "so lets completely remove them by doing this cool trick", "session_id": 1854, "sequence_id": 253, "annotations": []}
{"role": "student", "content": "Ok", "session_id": 1854, "sequence_id": 254, "annotations": []}
{"role": "volunteer", "content": "so what you can do to remove the fraction is multiply both sides by the bottom number", "session_id": 1854, "sequence_id": 255, "annotations": []}
{"role": "volunteer", "content": "so 2/3 times 3 becomes?", "session_id": 1854, "sequence_id": 256, "annotations": []}
{"role": "student", "content": "6 over 3", "session_id": 1854, "sequence_id": 257, "annotations": []}
{"role": "volunteer", "content": "yup and what does that simply to?", "session_id": 1854, "sequence_id": 258, "annotations": []}
{"role": "student", "content": "2", "session_id": 1854, "sequence_id": 259, "annotations": []}
{"role": "volunteer", "content": "yup!!", "session_id": 1854, "sequence_id": 260, "annotations": []}
{"role": "volunteer", "content": "so notice how we just got the top number by itself?", "session_id": 1854, "sequence_id": 261, "annotations": []}
{"role": "volunteer", "content": "when we multiply a fraction by the bottom number", "session_id": 1854, "sequence_id": 262, "annotations": []}
{"role": "volunteer", "content": "we just get the top number by itself!!", "session_id": 1854, "sequence_id": 263, "annotations": []}
{"role": "volunteer", "content": "they cancel out!", "session_id": 1854, "sequence_id": 264, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 1854, "sequence_id": 265, "annotations": []}
{"role": "volunteer", "content": "ok so lets continue writing this", "session_id": 1854, "sequence_id": 266, "annotations": []}
{"role": "volunteer", "content": "okay this is what our new problem looks like", "session_id": 1854, "sequence_id": 267, "annotations": []}
{"role": "volunteer", "content": "does this make sense?", "session_id": 1854, "sequence_id": 268, "annotations": []}
{"role": "volunteer", "content": "the 3 multiplies the top number", "session_id": 1854, "sequence_id": 269, "annotations": []}
{"role": "volunteer", "content": "cuz we multiplied by 3 on both sides", "session_id": 1854, "sequence_id": 270, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 1854, "sequence_id": 271, "annotations": []}
{"role": "volunteer", "content": "okay", "session_id": 1854, "sequence_id": 272, "annotations": []}
{"role": "volunteer", "content": "so how can we get rid of the 4x - 2 on the bottom?", "session_id": 1854, "sequence_id": 273, "annotations": []}
{"role": "volunteer", "content": "using the same trick we did on the 2/3?", "session_id": 1854, "sequence_id": 274, "annotations": []}
{"role": "student", "content": "Maybe combining like terms", "session_id": 1854, "sequence_id": 275, "annotations": []}
{"role": "volunteer", "content": "hehe its more simple den u think!", "session_id": 1854, "sequence_id": 276, "annotations": []}
{"role": "student", "content": "Ok", "session_id": 1854, "sequence_id": 277, "annotations": []}
{"role": "volunteer", "content": "multiply both sides by the bottom number!", "session_id": 1854, "sequence_id": 278, "annotations": []}
{"role": "volunteer", "content": "so multiply both sides by 4x-2", "session_id": 1854, "sequence_id": 279, "annotations": []}
{"role": "student", "content": "I'm a bit slow don't laugh at me!\ud83d\ude00", "session_id": 1854, "sequence_id": 280, "annotations": []}
{"role": "volunteer", "content": "no worries C:", "session_id": 1854, "sequence_id": 281, "annotations": []}
{"role": "volunteer", "content": "so what happens on the left?", "session_id": 1854, "sequence_id": 282, "annotations": []}
{"role": "student", "content": "I think it cancels out", "session_id": 1854, "sequence_id": 283, "annotations": []}
{"role": "volunteer", "content": "yes!!!", "session_id": 1854, "sequence_id": 284, "annotations": []}
{"role": "volunteer", "content": "okay imma rewrite the canvas cuz we are at the bottom of the board", "session_id": 1854, "sequence_id": 285, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 1854, "sequence_id": 286, "annotations": []}
{"role": "volunteer", "content": "ok can you solve for x now?", "session_id": 1854, "sequence_id": 287, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 1854, "sequence_id": 288, "annotations": []}
{"role": "student", "content": "Is it 2", "session_id": 1854, "sequence_id": 289, "annotations": []}
{"role": "volunteer", "content": "hmm", "session_id": 1854, "sequence_id": 290, "annotations": []}
{"role": "volunteer", "content": "check ur work by substituting x with 2 :3", "session_id": 1854, "sequence_id": 291, "annotations": []}
{"role": "volunteer", "content": "and seeing if the equation comes out to true", "session_id": 1854, "sequence_id": 292, "annotations": []}
{"role": "student", "content": "Is it -2", "session_id": 1854, "sequence_id": 293, "annotations": []}
{"role": "volunteer", "content": "nawww its a bigger number then 2 :3", "session_id": 1854, "sequence_id": 294, "annotations": []}
{"role": "student", "content": "Qi see my mistake", "session_id": 1854, "sequence_id": 295, "annotations": []}
{"role": "volunteer", "content": "o oki", "session_id": 1854, "sequence_id": 296, "annotations": []}
{"role": "student", "content": "BRB I need to lock in on this problem", "session_id": 1854, "sequence_id": 297, "annotations": []}
{"role": "volunteer", "content": "gotcha", "session_id": 1854, "sequence_id": 298, "annotations": []}
{"role": "student", "content": "-14", "session_id": 1854, "sequence_id": 299, "annotations": []}
{"role": "volunteer", "content": "14 is correct!!!! but the answer is positive 14 C:", "session_id": 1854, "sequence_id": 300, "annotations": []}
{"role": "student", "content": "I always mess up my signs", "session_id": 1854, "sequence_id": 301, "annotations": []}
{"role": "volunteer", "content": "its okie c:", "session_id": 1854, "sequence_id": 302, "annotations": []}
{"role": "volunteer", "content": "sooo we didnt entirely solve the problem", "session_id": 1854, "sequence_id": 303, "annotations": []}
{"role": "volunteer", "content": "we know how much to multiply the ratio tho!!", "session_id": 1854, "sequence_id": 304, "annotations": []}
{"role": "student", "content": "What...", "session_id": 1854, "sequence_id": 305, "annotations": []}
{"role": "volunteer", "content": "we need to multiply the ratio by 14", "session_id": 1854, "sequence_id": 306, "annotations": []}
{"role": "volunteer", "content": "cuz 14 is x correct?", "session_id": 1854, "sequence_id": 307, "annotations": []}
{"role": "student", "content": "yes", "session_id": 1854, "sequence_id": 308, "annotations": []}
{"role": "volunteer", "content": "so whats our new ratio?", "session_id": 1854, "sequence_id": 309, "annotations": []}
{"role": "volunteer", "content": "A classroom has a certain number of boys and girls. Initially, the ratio of boys to girls is 3:4.\nAfter a field trip, 6 boys and 2 girls leave the classroom. The new ratio of boys to girls becomes 2:3.\nHow many students were in the classroom originally?", "session_id": 1854, "sequence_id": 310, "annotations": []}
{"role": "student", "content": "42:56", "session_id": 1854, "sequence_id": 311, "annotations": []}
{"role": "volunteer", "content": "yuh!!!", "session_id": 1854, "sequence_id": 312, "annotations": []}
{"role": "volunteer", "content": "now is this our answer?", "session_id": 1854, "sequence_id": 313, "annotations": []}
{"role": "volunteer", "content": "read da word problem and tell me C:", "session_id": 1854, "sequence_id": 314, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 1854, "sequence_id": 315, "annotations": []}
{"role": "volunteer", "content": "well it wants students total", "session_id": 1854, "sequence_id": 316, "annotations": []}
{"role": "volunteer", "content": "not just a ratio so what should we do", "session_id": 1854, "sequence_id": 317, "annotations": []}
{"role": "volunteer", "content": "we have 42 boys", "session_id": 1854, "sequence_id": 318, "annotations": []}
{"role": "student", "content": "Add", "session_id": 1854, "sequence_id": 319, "annotations": []}
{"role": "volunteer", "content": "56 girls", "session_id": 1854, "sequence_id": 320, "annotations": []}
{"role": "volunteer", "content": "yupppp", "session_id": 1854, "sequence_id": 321, "annotations": []}
{"role": "volunteer", "content": "whats our answer then", "session_id": 1854, "sequence_id": 322, "annotations": []}
{"role": "student", "content": "I'm so smart right", "session_id": 1854, "sequence_id": 323, "annotations": []}
{"role": "volunteer", "content": "Yes!!", "session_id": 1854, "sequence_id": 324, "annotations": []}
{"role": "student", "content": "98", "session_id": 1854, "sequence_id": 325, "annotations": []}
{"role": "volunteer", "content": "yeah!!!!!", "session_id": 1854, "sequence_id": 326, "annotations": []}
{"role": "student", "content": "Students", "session_id": 1854, "sequence_id": 327, "annotations": []}
{"role": "volunteer", "content": "you solved it!!!!!", "session_id": 1854, "sequence_id": 328, "annotations": []}
{"role": "student", "content": "FINALLY", "session_id": 1854, "sequence_id": 329, "annotations": []}
{"role": "volunteer", "content": "that one was super hard huh?", "session_id": 1854, "sequence_id": 330, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 1854, "sequence_id": 331, "annotations": []}
{"role": "volunteer", "content": "alrighty! want another oe?", "session_id": 1854, "sequence_id": 332, "annotations": []}
{"role": "volunteer", "content": "one?", "session_id": 1854, "sequence_id": 333, "annotations": []}
{"role": "student", "content": "No more word problems", "session_id": 1854, "sequence_id": 334, "annotations": []}
{"role": "volunteer", "content": ":)", "session_id": 1854, "sequence_id": 335, "annotations": []}
{"role": "student", "content": ":P", "session_id": 1854, "sequence_id": 336, "annotations": []}
{"role": "volunteer", "content": "do you need anymore help? :3c", "session_id": 1854, "sequence_id": 337, "annotations": []}
{"role": "student", "content": "Can we practice solving the problems", "session_id": 1854, "sequence_id": 338, "annotations": []}
{"role": "student", "content": "So I can be the smartest in the class ", "session_id": 1854, "sequence_id": 339, "annotations": []}
{"role": "student", "content": "Jk I'm not", "session_id": 1854, "sequence_id": 340, "annotations": []}
{"role": "volunteer", "content": "hahaha which problems? :3c", "session_id": 1854, "sequence_id": 341, "annotations": []}
{"role": "student", "content": "Any you choose", "session_id": 1854, "sequence_id": 342, "annotations": []}
{"role": "volunteer", "content": "okay wanna do a variable problem?", "session_id": 1854, "sequence_id": 343, "annotations": []}
{"role": "student", "content": "Sure", "session_id": 1854, "sequence_id": 344, "annotations": []}
{"role": "volunteer", "content": "oki", "session_id": 1854, "sequence_id": 345, "annotations": []}
{"role": "volunteer", "content": "wanna solve this one?", "session_id": 1854, "sequence_id": 346, "annotations": []}
{"role": "student", "content": "Which one", "session_id": 1854, "sequence_id": 347, "annotations": []}
{"role": "volunteer", "content": "solve for x :3", "session_id": 1854, "sequence_id": 348, "annotations": []}
{"role": "student", "content": "Which problem", "session_id": 1854, "sequence_id": 349, "annotations": []}
{"role": "student", "content": "\u2606", "session_id": 1854, "sequence_id": 350, "annotations": []}
{"role": "volunteer", "content": "imma circle it in blue", "session_id": 1854, "sequence_id": 351, "annotations": []}
{"role": "student", "content": "Ok", "session_id": 1854, "sequence_id": 352, "annotations": []}
{"role": "volunteer", "content": "there yah go :3", "session_id": 1854, "sequence_id": 353, "annotations": []}
{"role": "student", "content": "You really what me to suffer don't you", "session_id": 1854, "sequence_id": 354, "annotations": []}
{"role": "volunteer", "content": "muahahhaahaha!!!", "session_id": 1854, "sequence_id": 355, "annotations": []}
{"role": "volunteer", "content": "maybe :#", "session_id": 1854, "sequence_id": 356, "annotations": []}
{"role": "volunteer", "content": ":3", "session_id": 1854, "sequence_id": 357, "annotations": []}
{"role": "student", "content": "Your evil", "session_id": 1854, "sequence_id": 358, "annotations": []}
{"role": "volunteer", "content": ">:3", "session_id": 1854, "sequence_id": 359, "annotations": []}
{"role": "student", "content": "Help me ", "session_id": 1854, "sequence_id": 360, "annotations": []}
{"role": "volunteer", "content": "Student so first combine like terms", "session_id": 1854, "sequence_id": 361, "annotations": [{"pii_type": "PERSON", "surrogate": "Student", "start": 0, "end": 7}]}
{"role": "student", "content": "Me no understand", "session_id": 1854, "sequence_id": 362, "annotations": []}
{"role": "volunteer", "content": "which numbers can you combine", "session_id": 1854, "sequence_id": 363, "annotations": []}
{"role": "student", "content": "3x with the 2x", "session_id": 1854, "sequence_id": 364, "annotations": []}
{"role": "volunteer", "content": "yuh", "session_id": 1854, "sequence_id": 365, "annotations": []}
{"role": "volunteer", "content": "what else", "session_id": 1854, "sequence_id": 366, "annotations": []}
{"role": "student", "content": "S42x", "session_id": 1854, "sequence_id": 367, "annotations": []}
{"role": "student", "content": "42x", "session_id": 1854, "sequence_id": 368, "annotations": []}
{"role": "volunteer", "content": "how so?", "session_id": 1854, "sequence_id": 369, "annotations": []}
{"role": "student", "content": "(\\_/)\n('^')\n(> \ud83c\udf81 I don't really know", "session_id": 1854, "sequence_id": 370, "annotations": []}
{"role": "volunteer", "content": "Hmm", "session_id": 1854, "sequence_id": 371, "annotations": []}
{"role": "volunteer", "content": "so 42x is alone", "session_id": 1854, "sequence_id": 372, "annotations": []}
{"role": "volunteer", "content": "so we cant really combine it with anything", "session_id": 1854, "sequence_id": 373, "annotations": []}
{"role": "volunteer", "content": "what about the right side?", "session_id": 1854, "sequence_id": 374, "annotations": []}
{"role": "volunteer", "content": "do you see any numbers that can be combined?", "session_id": 1854, "sequence_id": 375, "annotations": []}
{"role": "student", "content": "X and 2x", "session_id": 1854, "sequence_id": 376, "annotations": []}
{"role": "volunteer", "content": "hmm so we cant really combine terms that are away from each other on the fraction", "session_id": 1854, "sequence_id": 377, "annotations": []}
{"role": "student", "content": "OH", "session_id": 1854, "sequence_id": 378, "annotations": []}
{"role": "volunteer", "content": "you can think of the top part of the fraction and the bottom part of the fraction as islands", "session_id": 1854, "sequence_id": 379, "annotations": []}
{"role": "student", "content": "3 and 4", "session_id": 1854, "sequence_id": 380, "annotations": []}
{"role": "volunteer", "content": "we cant combine anything beyond the big line", "session_id": 1854, "sequence_id": 381, "annotations": []}
{"role": "volunteer", "content": "yup!", "session_id": 1854, "sequence_id": 382, "annotations": []}
{"role": "volunteer", "content": "ok lets rewrite our problem", "session_id": 1854, "sequence_id": 383, "annotations": []}
{"role": "volunteer", "content": "what does 3x plus 2x equal?", "session_id": 1854, "sequence_id": 384, "annotations": []}
{"role": "student", "content": "5x", "session_id": 1854, "sequence_id": 385, "annotations": []}
{"role": "volunteer", "content": "yup!", "session_id": 1854, "sequence_id": 386, "annotations": []}
{"role": "volunteer", "content": "ok what about the 3 and 4", "session_id": 1854, "sequence_id": 387, "annotations": []}
{"role": "student", "content": "How did you get pink for the white board", "session_id": 1854, "sequence_id": 388, "annotations": []}
{"role": "student", "content": "7", "session_id": 1854, "sequence_id": 389, "annotations": []}
{"role": "volunteer", "content": "there is a color thingy right next to the letters Aa", "session_id": 1854, "sequence_id": 390, "annotations": []}
{"role": "volunteer", "content": "yup!", "session_id": 1854, "sequence_id": 391, "annotations": []}
{"role": "volunteer", "content": "ok do you remember the trick we used to get rid of fractions?", "session_id": 1854, "sequence_id": 392, "annotations": []}
{"role": "volunteer", "content": "cuz we hate fractions!!!", "session_id": 1854, "sequence_id": 393, "annotations": []}
{"role": "student", "content": "No not really but don't you put the bottom numer and multiply on the right and left", "session_id": 1854, "sequence_id": 394, "annotations": []}
{"role": "volunteer", "content": "yup!!", "session_id": 1854, "sequence_id": 395, "annotations": []}
{"role": "volunteer", "content": "we multiply the bottom number on the right and left", "session_id": 1854, "sequence_id": 396, "annotations": []}
{"role": "volunteer", "content": "so which fraction do you wanna get rid of first", "session_id": 1854, "sequence_id": 397, "annotations": []}
{"role": "volunteer", "content": "which side?", "session_id": 1854, "sequence_id": 398, "annotations": []}
{"role": "student", "content": "THE RIGHT", "session_id": 1854, "sequence_id": 399, "annotations": []}
{"role": "volunteer", "content": "Got it!!", "session_id": 1854, "sequence_id": 400, "annotations": []}
{"role": "volunteer", "content": "so lets multiply both sides by da bottom number", "session_id": 1854, "sequence_id": 401, "annotations": []}
{"role": "student", "content": "\ud83e\uddf8", "session_id": 1854, "sequence_id": 402, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 1854, "sequence_id": 403, "annotations": []}
{"role": "student", "content": "Also I don't have the Aa", "session_id": 1854, "sequence_id": 404, "annotations": []}
{"role": "volunteer", "content": "oh weird", "session_id": 1854, "sequence_id": 405, "annotations": []}
{"role": "volunteer", "content": "Alright so this is how it looks like", "session_id": 1854, "sequence_id": 406, "annotations": [{"pii_type": "PERSON", "surrogate": "Alright", "start": 0, "end": 7}]}
{"role": "volunteer", "content": "how do we get rid of the 42 x", "session_id": 1854, "sequence_id": 407, "annotations": []}
{"role": "student", "content": "We multiply on both sides", "session_id": 1854, "sequence_id": 408, "annotations": []}
{"role": "volunteer", "content": "mhm!", "session_id": 1854, "sequence_id": 409, "annotations": []}
{"role": "student", "content": "Yay!", "session_id": 1854, "sequence_id": 410, "annotations": []}
{"role": "volunteer", "content": "okay!", "session_id": 1854, "sequence_id": 411, "annotations": []}
{"role": "volunteer", "content": "and thats pretty solveable would you agree?", "session_id": 1854, "sequence_id": 412, "annotations": []}
{"role": "student", "content": "Can you make it simpler since I'm running low on brain food", "session_id": 1854, "sequence_id": 413, "annotations": []}
{"role": "volunteer", "content": "heheh i would love to but i hafta go now :C", "session_id": 1854, "sequence_id": 414, "annotations": []}
{"role": "volunteer", "content": "sorry!!", "session_id": 1854, "sequence_id": 415, "annotations": []}
{"role": "student", "content": "It's OK!\n", "session_id": 1854, "sequence_id": 416, "annotations": []}
{"role": "student", "content": "Bye", "session_id": 1854, "sequence_id": 417, "annotations": []}
{"role": "volunteer", "content": "bye bye c:", "session_id": 1854, "sequence_id": 418, "annotations": []}
{"role": "volunteer", "content": "hello", "session_id": 1917, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "Hi", "session_id": 1917, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "How can I help you?", "session_id": 1917, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "how would i do this", "session_id": 1917, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "Give me a second", "session_id": 1917, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "how do u know amplitude", "session_id": 1917, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "no phase shift mean nothing like sec((....+ ....)", "session_id": 1917, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "how do u know amplitude is 2?", "session_id": 1917, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "2 sec mean maximum point is 2 for y", "session_id": 1917, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "its supposed to be sec2/3x2", "session_id": 1917, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "sec2/3x + 2", "session_id": 1917, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "Hello what can I help you with", "session_id": 1803, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "Uh, can you hear me?", "session_id": 1803, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "No sorry I can't do mic right now", "session_id": 1803, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "Ok", "session_id": 1803, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "I\u2019m going to take pictures of the work a have so we can solve it", "session_id": 1803, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "That would be great", "session_id": 1803, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "Can you see it", "session_id": 1803, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "Yes", "session_id": 1803, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "Let do number one", "session_id": 1803, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "What are your thoughts", "session_id": 1803, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "I don\u2019t know do we graph it", "session_id": 1803, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "I think is B", "session_id": 1803, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "You need to rely on the properties, so you don't need a graph, keep in mind that dialations are often multiplications", "session_id": 1803, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "I thought we were doing the first question A", "session_id": 1803, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "Yes, the options that seem like a dialation are d and c", "session_id": 1803, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "No this one", "session_id": 1803, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "Which one ?", "session_id": 1803, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "The first question 1", "session_id": 1803, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "1A", "session_id": 1803, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "Hello Jamie, what can I help you with", "session_id": 1971, "sequence_id": 0, "annotations": [{"pii_type": "PERSON", "surrogate": "Jamie", "start": 6, "end": 11}]}
{"role": "student", "content": "I need help reducing terms", "session_id": 1971, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "Factoring polynomials?", "session_id": 1971, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "yes", "session_id": 1971, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "Ok, in which part you need help", "session_id": 1971, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "I need help with understanding how do I find the lowest term.", "session_id": 1971, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "Could you please provide an example to understand what you mean", "session_id": 1971, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "its a picture", "session_id": 1971, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "It's fine", "session_id": 1971, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "3/6 in it's lowest terms", "session_id": 1971, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "would it be 3?", "session_id": 1971, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "That would be a simplification of a fraction, it would be 1/2", "session_id": 1971, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "so what about 5/10", "session_id": 1971, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "ok one more but I want to try", "session_id": 1971, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "Alright", "session_id": 1971, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "What about 3/21", "session_id": 1971, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "You always want to ask what you multiply by 3 to get 21, and then simplify by dividing by the number you got", "session_id": 1971, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "I get it", "session_id": 1971, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "Notice that not always you will get a 1 above in the fraction because you just can't divide any further. However all these problems including 3/21 do end up with a 1 above the fraction", "session_id": 1971, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "See it like this: always try to divide the bottom number by the one on top.", "session_id": 1971, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "Let me know in which part are you struggling and I would try to help.", "session_id": 1971, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "Oh, sorry I didn't look on the graphs , YES, you did it correctly", "session_id": 1971, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "Is there any problem or misunderstandings I can help with?", "session_id": 1971, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "Hi Sam! What do you need help with today?", "session_id": 1932, "sequence_id": 0, "annotations": [{"pii_type": "PERSON", "surrogate": "Sam", "start": 3, "end": 6}]}
{"role": "student", "content": "Hello :)", "session_id": 1932, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "I need help with my algebra homework ", "session_id": 1932, "sequence_id": 2, "annotations": []}
{"role": "student", "content": " Have 26 questions :(", "session_id": 1932, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "I", "session_id": 1932, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "Left to do", "session_id": 1932, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "Sure! Can you upload it to the whiteboard?", "session_id": 1932, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "I\u2019m so lost", "session_id": 1932, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "Okayy", "session_id": 1932, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "Don't worry, I can help!", "session_id": 1932, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "Yay!", "session_id": 1932, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "Ok, so if he takes 4 breaks, then he must work 4 times, right?", "session_id": 1932, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 1932, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "Ok, and how long does he work each time?", "session_id": 1932, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "40 minutes ", "session_id": 1932, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "yes, and what's 4 times 40?", "session_id": 1932, "sequence_id": 15, "annotations": []}
{"role": "student", "content": " Is 160", "session_id": 1932, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "yes!!!", "session_id": 1932, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "so he works 160 minutes!", "session_id": 1932, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "Now same logic for b", "session_id": 1932, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "So of he worked for 6 hrs and each session 40 minutes, then how many sessions did he have?", "session_id": 1932, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "So do we do 6 x 40", "session_id": 1932, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "No, but good try!", "session_id": 1932, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "We have to first convert 6 hours into minutes?", "session_id": 1932, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "Oh", "session_id": 1932, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "Do you know how?", "session_id": 1932, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "No", "session_id": 1932, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "Ok so one hour = 60 minutes", "session_id": 1932, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "I know one hour is 60 minutes yeah ", "session_id": 1932, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "so 6 hours would be 6 times 60", "session_id": 1932, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "and that is...", "session_id": 1932, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "360", "session_id": 1932, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "Correct!", "session_id": 1932, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "Now we have to 360/40", "session_id": 1932, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "to find the amount of sessions", "session_id": 1932, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "and what 360/40?", "session_id": 1932, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "14400 ", "session_id": 1932, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "no 360 times 40", "session_id": 1932, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "360 divided by 40", "session_id": 1932, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "Ohh", "session_id": 1932, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "Oops", "session_id": 1932, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "it's ok!", "session_id": 1932, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "It 9 then", "session_id": 1932, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "yes!", "session_id": 1932, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "so there are 9 sessions", "session_id": 1932, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "now each session has a 20 minute break.", "session_id": 1932, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "so what do we do now?", "session_id": 1932, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "Wait I got confused ", "session_id": 1932, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "so since there are 9 sessions, each with a 20 min break, we have to do 9 times 20", "session_id": 1932, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "and whats 9 times 20?", "session_id": 1932, "sequence_id": 49, "annotations": []}
{"role": "student", "content": "180", "session_id": 1932, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "yess!", "session_id": 1932, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "now that's the answer", "session_id": 1932, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "Ok onto the next question", "session_id": 1932, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "Did you understand #2?", "session_id": 1932, "sequence_id": 54, "annotations": []}
{"role": "student", "content": "A little ", "session_id": 1932, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "Should I go over it again?", "session_id": 1932, "sequence_id": 56, "annotations": []}
{"role": "student", "content": "Yes please", "session_id": 1932, "sequence_id": 57, "annotations": []}
{"role": "student", "content": "Yes please", "session_id": 1932, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "Ok, so the question says that he has worked on the project for 6 hours.", "session_id": 1932, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "We found out that 6 hours is equal 360 minutes.", "session_id": 1932, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "And the pre information says that he works for 40 minutes straight and takes a 20 minute break.", "session_id": 1932, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "So we have to 360/40 to find the number of sessions that he has worked", "session_id": 1932, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "And since that is 9, then that must mean that he has taken 9 breaks as well.", "session_id": 1932, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "And each break is 20 minutes,", "session_id": 1932, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "so we have to do 9 times 20, with 180 minutes of break.", "session_id": 1932, "sequence_id": 65, "annotations": []}
{"role": "student", "content": "That makes more sense now ", "session_id": 1932, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "That's great!", "session_id": 1932, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "Should we move to the next question?", "session_id": 1932, "sequence_id": 68, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 1932, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "Ok so let the amount of push ups he did on the first day be x", "session_id": 1932, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "And what would the number of pushups be on day 2 if it goes up by 1 each day?", "session_id": 1932, "sequence_id": 71, "annotations": []}
{"role": "student", "content": "2?", "session_id": 1932, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "No, if Day 1 was x, then day 2 would be x +1", "session_id": 1932, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "because it went up by 1", "session_id": 1932, "sequence_id": 74, "annotations": []}
{"role": "student", "content": "Oh", "session_id": 1932, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "so what would day 3 be?", "session_id": 1932, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "if it goes up by 1 again?", "session_id": 1932, "sequence_id": 77, "annotations": []}
{"role": "student", "content": "X+1+1?", "session_id": 1932, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "Yes!", "session_id": 1932, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "And that would simplify to...?", "session_id": 1932, "sequence_id": 80, "annotations": []}
{"role": "volunteer", "content": "Hello?", "session_id": 1932, "sequence_id": 81, "annotations": []}
{"role": "student", "content": "Uhh", "session_id": 1932, "sequence_id": 82, "annotations": []}
{"role": "student", "content": "Just x+2", "session_id": 1932, "sequence_id": 83, "annotations": []}
{"role": "volunteer", "content": "yes!", "session_id": 1932, "sequence_id": 84, "annotations": []}
{"role": "student", "content": "I think", "session_id": 1932, "sequence_id": 85, "annotations": []}
{"role": "student", "content": "Oh okay", "session_id": 1932, "sequence_id": 86, "annotations": []}
{"role": "volunteer", "content": "and day 4?", "session_id": 1932, "sequence_id": 87, "annotations": []}
{"role": "volunteer", "content": "do you see the pattern here?", "session_id": 1932, "sequence_id": 88, "annotations": []}
{"role": "student", "content": "Wait is day four x+3", "session_id": 1932, "sequence_id": 89, "annotations": []}
{"role": "volunteer", "content": "yes!!", "session_id": 1932, "sequence_id": 90, "annotations": []}
{"role": "volunteer", "content": "what about 5 and 6?", "session_id": 1932, "sequence_id": 91, "annotations": []}
{"role": "student", "content": "Day five is ", "session_id": 1932, "sequence_id": 92, "annotations": []}
{"role": "student", "content": "X+4 I\u2019m guessing and 6 is x+5", "session_id": 1932, "sequence_id": 93, "annotations": []}
{"role": "volunteer", "content": "Exactly!", "session_id": 1932, "sequence_id": 94, "annotations": []}
{"role": "volunteer", "content": "now we add everything together", "session_id": 1932, "sequence_id": 95, "annotations": []}
{"role": "volunteer", "content": "How many x s are there?", "session_id": 1932, "sequence_id": 96, "annotations": []}
{"role": "student", "content": "5?", "session_id": 1932, "sequence_id": 97, "annotations": []}
{"role": "student", "content": "5?", "session_id": 1932, "sequence_id": 98, "annotations": []}
{"role": "volunteer", "content": "try counting again", "session_id": 1932, "sequence_id": 99, "annotations": []}
{"role": "volunteer", "content": "you're really close", "session_id": 1932, "sequence_id": 100, "annotations": []}
{"role": "student", "content": "Is it 6", "session_id": 1932, "sequence_id": 101, "annotations": []}
{"role": "volunteer", "content": "yes!", "session_id": 1932, "sequence_id": 102, "annotations": []}
{"role": "volunteer", "content": "and what's 1+2+3+4+5?", "session_id": 1932, "sequence_id": 103, "annotations": []}
{"role": "student", "content": "15", "session_id": 1932, "sequence_id": 104, "annotations": []}
{"role": "student", "content": "I think", "session_id": 1932, "sequence_id": 105, "annotations": []}
{"role": "volunteer", "content": "yesss!", "session_id": 1932, "sequence_id": 106, "annotations": []}
{"role": "volunteer", "content": "and we know that the total is 39", "session_id": 1932, "sequence_id": 107, "annotations": []}
{"role": "volunteer", "content": "now do you know how to solve for x?", "session_id": 1932, "sequence_id": 108, "annotations": []}
{"role": "student", "content": "No idea ", "session_id": 1932, "sequence_id": 109, "annotations": []}
{"role": "student", "content": "What do you mean x", "session_id": 1932, "sequence_id": 110, "annotations": []}
{"role": "volunteer", "content": "it's just a variable", "session_id": 1932, "sequence_id": 111, "annotations": []}
{"role": "volunteer", "content": "it can be any number", "session_id": 1932, "sequence_id": 112, "annotations": []}
{"role": "volunteer", "content": "it's what we're solving for", "session_id": 1932, "sequence_id": 113, "annotations": []}
{"role": "volunteer", "content": "so we have to get it alone", "session_id": 1932, "sequence_id": 114, "annotations": []}
{"role": "volunteer", "content": "what's 39-15?", "session_id": 1932, "sequence_id": 115, "annotations": []}
{"role": "student", "content": "22", "session_id": 1932, "sequence_id": 116, "annotations": []}
{"role": "volunteer", "content": "you're close", "session_id": 1932, "sequence_id": 117, "annotations": []}
{"role": "student", "content": "My bad 24", "session_id": 1932, "sequence_id": 118, "annotations": []}
{"role": "volunteer", "content": "yes!", "session_id": 1932, "sequence_id": 119, "annotations": []}
{"role": "volunteer", "content": "wait sorry i accidently wrote 5x instead of 6x", "session_id": 1932, "sequence_id": 120, "annotations": []}
{"role": "student", "content": "It\u2019s okayy", "session_id": 1932, "sequence_id": 121, "annotations": []}
{"role": "volunteer", "content": "So on the first day, he did 4 pushups.", "session_id": 1932, "sequence_id": 122, "annotations": []}
{"role": "volunteer", "content": "do you understand?", "session_id": 1932, "sequence_id": 123, "annotations": []}
{"role": "student", "content": " Not really ", "session_id": 1932, "sequence_id": 124, "annotations": []}
{"role": "volunteer", "content": "So the problem says that it goes up by 1 each day", "session_id": 1932, "sequence_id": 125, "annotations": []}
{"role": "volunteer", "content": "and that the final is 39", "session_id": 1932, "sequence_id": 126, "annotations": []}
{"role": "volunteer", "content": "and we are looking for how many he did on the first day.", "session_id": 1932, "sequence_id": 127, "annotations": []}
{"role": "volunteer", "content": "So if you just label the number of pushups that he does on the first day x,", "session_id": 1932, "sequence_id": 128, "annotations": []}
{"role": "volunteer", "content": "then the next day and the day after, you have to continuously add 1.", "session_id": 1932, "sequence_id": 129, "annotations": []}
{"role": "volunteer", "content": "once you do this for 6 days, you add them up and set them equal to 39", "session_id": 1932, "sequence_id": 130, "annotations": []}
{"role": "volunteer", "content": "and when you solve for x, you get 4.", "session_id": 1932, "sequence_id": 131, "annotations": []}
{"role": "volunteer", "content": "Hello?", "session_id": 1932, "sequence_id": 132, "annotations": []}
{"role": "student", "content": "4 is what he did on the first day", "session_id": 1932, "sequence_id": 133, "annotations": []}
{"role": "student", "content": "?", "session_id": 1932, "sequence_id": 134, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 1932, "sequence_id": 135, "annotations": []}
{"role": "volunteer", "content": "it's what he did on the first dy", "session_id": 1932, "sequence_id": 136, "annotations": []}
{"role": "volunteer", "content": "Ok, I have to go now.", "session_id": 1932, "sequence_id": 137, "annotations": []}
{"role": "volunteer", "content": "Good luck with the rest of your problems!", "session_id": 1932, "sequence_id": 138, "annotations": []}
{"role": "volunteer", "content": "Hello Liam what would u like help with", "session_id": 2034, "sequence_id": 0, "annotations": [{"pii_type": "PERSON", "surrogate": "Liam", "start": 6, "end": 10}]}
{"role": "student", "content": "can you help with long division", "session_id": 2034, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "Set it up\nWrite the dividend inside the long division box and the divisor outside.\n\nAsk how many times\nLook at the first digit or first few digits of the dividend. Ask: how many times does the divisor go into that number?\n\nWrite the answer on top\nWrite that number above the box (over the digit you used).\n\nMultiply\nMultiply the divisor by the number you wrote on top.\n\nSubtract\nWrite the product under the number you used and subtract.\n\nBring down\nBring down the next digit from the dividend.\n\nRepeat\nKeep doing: divide, write, multiply, subtract, bring down until you bring down all digits.\n\nRemainder\nIf you end with a number smaller than the divisor, that is the remainder.\nIf you want a decimal, add a decimal point to the answer and add zeros to the dividend, then keep going.", "session_id": 2034, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "can u pracice with me", "session_id": 2034, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "yes of course", "session_id": 2034, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "8472 \u00f7 6", "session_id": 2034, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "Here are the steps to solve:\n\nSet it up: 8472 \u00f7 6\n\n6 goes into 8 one time\nWrite 1 on top\n1 \u00d7 6 = 6\n8 \u2212 6 = 2\n\nBring down the 4 to make 24\n6 goes into 24 four times\nWrite 4 on top\n4 \u00d7 6 = 24\n24 \u2212 24 = 0\n\nBring down the 7 to make 7\n6 goes into 7 one time\nWrite 1 on top\n1 \u00d7 6 = 6\n7 \u2212 6 = 1\n\nBring down the 2 to make 12\n6 goes into 12 two times\nWrite 2 on top\n2 \u00d7 6 = 12\n12 \u2212 12 = 0\n\nAnswer: 1412", "session_id": 2034, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "Can you help another", "session_id": 2034, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "Sure \u2014 here\u2019s a step by step 9351 \u00f7 7.\n\nSet it up: 9351 \u00f7 7\n\n7 goes into 9 one time\nWrite 1 on top\n1 \u00d7 7 = 7\n9 \u2212 7 = 2\n\nBring down the 3 to make 23\n7 goes into 23 three times\nWrite 3 on top\n3 \u00d7 7 = 21\n23 \u2212 21 = 2\n\nBring down the 5 to make 25\n7 goes into 25 three times\nWrite 3 on top\n3 \u00d7 7 = 21\n25 \u2212 21 = 4\n\nBring down the 1 to make 41\n7 goes into 41 five times\nWrite 5 on top\n5 \u00d7 7 = 35\n41 \u2212 35 = 6", "session_id": 2034, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "do you want me to give you some to practice?", "session_id": 2034, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "Yes pleas", "session_id": 2034, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "Here are 10 pratcoce questions \n\n9351 \u00f7 7\n\n12048 \u00f7 8\n\n7635 \u00f7 5\n\n5049 \u00f7 9\n\n14652 \u00f7 12\n\n18720 \u00f7 15\n\n23184 \u00f7 18\n\n29403 \u00f7 21\n\n33696 \u00f7 24\n\n72549 \u00f7 11", "session_id": 2034, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "okay my answer are", "session_id": 2034, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "9351 \u00f7 7 = 1335 R 6\n\n12048 \u00f7 8 = 1506\n\n7635 \u00f7 5 = 1527\n\n5049 \u00f7 9 = 561\n\n14652 \u00f7 12 = 1221\n\n18720 \u00f7 15 = 1248\n\n23184 \u00f7 18 = 1288\n\n29403 \u00f7 21 = 1400 R 3\n\n33696 \u00f7 24 = 1404\n\n72549 \u00f7 11 = 6595 R 4", "session_id": 2034, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "can you check?", "session_id": 2034, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "seems to all be correct. Need anything else>", "session_id": 2034, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "?", "session_id": 2034, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "no thank you", "session_id": 2034, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "alright have a good one!", "session_id": 2034, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "Can you quiz me on ratios before my quiz tomorow", "session_id": 2042, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "Sure", "session_id": 2042, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "ill give you 25 questions and you can answer them, is that good for you>", "session_id": 2042, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "Yes can you", "session_id": 2042, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "Simplify the ratio 18:24.\n\nSimplify the ratio 45:60.\n\nSimplify the ratio 72:90.\n\nWrite the ratio of 14 girls to 21 boys in simplest form.\n\nWrite the ratio of 36 red marbles to 48 blue marbles in simplest form.\n\nA recipe uses 3 cups of flour for every 2 cups of sugar. If you use 12 cups of flour, how many cups of sugar do you need?\n\nA paint mix uses a ratio of 5 parts blue to 3 parts yellow. If you use 15 parts blue, how many parts yellow do you use?\n\nThe ratio of cats to dogs at a shelter is 7:5. If there are 35 cats, how many dogs are there?\n\nA map scale is 1 inch : 8 miles. If two towns are 6 inches apart on the map, how many miles apart are they?\n\nA drink is mixed in the ratio 2 parts juice to 5 parts water. If you have 35 total parts of drink, how many parts are juice?\n\nIn a bag, the ratio of pennies to nickels is 9:4. If there are 36 pennies, how many nickels are there?\n\nA class has a ratio of 3 freshmen to 2 sophomores. If there are 18 freshmen, how many sophomores are there?\n\nThe ratio of wins to losses for a team is 11:3. If the team has 33 wins, how many losses does it have?\n\nA box has red and green blocks in the ratio 4:7. If there are 44 blocks total, how many are red?\n\nA bag has 48 candies split in the ratio 5:3 (chocolate:fruit). How many fruit candies are there?\n\nDivide 56 in the ratio 3:5.\n\nDivide 90 in the ratio 2:7.\n\nDivide 144 in the ratio 5:7.\n\nDivide $84 in the ratio 4:3.\n\nIn a group, the ratio of adults to kids is 5:8. There 39 people total. How many are kids?\n\nA car travels 180 miles using 6 gallons of gas. Write the ratio of miles to gallons in simplest form, and find the unit rate (miles per gallon).\n\nOn a test, the ratio of correct to incorrect answers is 17:3. If there are 60 questions total, how many were incorrect?\n\nThe ratio of boys to girls is 4:5. If there are 9 more girls than boys, how many boys are there?\n\nA mixture has sugar and salt in the ratio 7:1. If there are 64 grams total, how many grams are sugar?\n\nThe ratio of blue to red beads is 3:2. If you add 10 red beads, the ratio becomes 3:4. How many blue beads were there originally?", "session_id": 2042, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "Alright you have 30 minutes to solve these", "session_id": 2042, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "meet back at 8:20", "session_id": 2042, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "Are you ready yet?", "session_id": 2042, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "I have to go sorry", "session_id": 2042, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "continue another time", "session_id": 2042, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "Hi I need help looking over my corrections for AP Calc AB Unit 5 test", "session_id": 2147, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "It's on critical points, relative and absolute maximums, and 1st and 2nd derivative tests", "session_id": 2147, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "Hi Zara! I can definitely help you", "session_id": 2147, "sequence_id": 2, "annotations": [{"pii_type": "PERSON", "surrogate": "Zara", "start": 3, "end": 7}]}
{"role": "student", "content": "Thank you!", "session_id": 2147, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "My test is on the screen but I also have my corrections", "session_id": 2147, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "would you like me to show you that", "session_id": 2147, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "this is the first page of the test", "session_id": 2147, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "Yes if you could. I can also see where your mistakes are from page currently on screen", "session_id": 2147, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "Okay I will put it on the screen", "session_id": 2147, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "Okay I see it", "session_id": 2147, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "Okay", "session_id": 2147, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "For part (a) I would also say that the f'(x) is equal to zero indicating a relative min or maximum", "session_id": 2147, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "Since before x < -1 f'(x) is negative then afterwards (x > -1) f'(x) is positive.  that means the function f(x) is going down then going up indicating a relative min like you said: decreasing then increasing", "session_id": 2147, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "Yes okay", "session_id": 2147, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "For part (b) x = -5 being a relative maximum is correct, but could you explain your reasoning for x = 7 in your corrections?", "session_id": 2147, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "Yes okay", "session_id": 2147, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "I don't really remember why x = 7 is also one", "session_id": 2147, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "That's okay! You might've written it down because it was in your original page", "session_id": 2147, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "Ohh okay. Yeah it's because a different person explained it to me and said that I may want to include it if my teacher taught me it", "session_id": 2147, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "Okay if your teacher said to include it then keep it in your answer key. There can be multiple ways to define relative mins and maxes especially on the boundaries", "session_id": 2147, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "Okayy I will ask my teacher", "session_id": 2147, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "I also see the reasoning you have in part (c) but I would be careful because part (c) is asking for a range of values not specific points", "session_id": 2147, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "ohh okay", "session_id": 2147, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "so would I write an interval instaed", "session_id": 2147, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "Yes and there will be two intervals where f\"(x) will be > 0", "session_id": 2147, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "Sorry less than 0", "session_id": 2147, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "Ohh okay", "session_id": 2147, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "could you explain (c) please because I'm confuse", "session_id": 2147, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "confused", "session_id": 2147, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "Yes no problem", "session_id": 2147, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "Since you have the graph of f'(x), the slope of f'(x) will be f\"(x) because that is what the derivative measures", "session_id": 2147, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "yess", "session_id": 2147, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "So when the slope is down in the graph then that's when f\"(x) is negative or less than zero", "session_id": 2147, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "ohh okay that makes sense", "session_id": 2147, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "what do you mean down though", "session_id": 2147, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "If you draw a tangent line to any part of the curve, if the line is pointing downwards or negative slope then f\"(x) < 0. I demonstrate with the pen on the whiteboard", "session_id": 2147, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "okay", "session_id": 2147, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "ohh okay that makes sense becuase the slope of f'(x) is decreasing", "session_id": 2147, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "Yes", "session_id": 2147, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "can I writ the interval like this", "session_id": 2147, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "Yes! Good job! I got the same answer for c", "session_id": 2147, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "Okay thanks!", "session_id": 2147, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "You also made sure to make the intervals as parentheses since at the endpoints f\"(x) is equal (not less than) zero", "session_id": 2147, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "Great job", "session_id": 2147, "sequence_id": 43, "annotations": []}
{"role": "student", "content": "okk yes", "session_id": 2147, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "Would you like help with the second page of the test?", "session_id": 2147, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "yes please if you have time", "session_id": 2147, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "No worries I do :)", "session_id": 2147, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "I can see the second page", "session_id": 2147, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "okay sounds good", "session_id": 2147, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "Could you put up the graph to the side?", "session_id": 2147, "sequence_id": 50, "annotations": []}
{"role": "student", "content": "yes", "session_id": 2147, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "does this work", "session_id": 2147, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "Thank you, yes it does", "session_id": 2147, "sequence_id": 53, "annotations": []}
{"role": "student", "content": "okk", "session_id": 2147, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "For part (d) points of inflection are where f\"(x) is equal to zero", "session_id": 2147, "sequence_id": 55, "annotations": []}
{"role": "student", "content": "ohh okay", "session_id": 2147, "sequence_id": 56, "annotations": []}
{"role": "student", "content": "so where the slope of f'(x) is equal to zero", "session_id": 2147, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "Yes", "session_id": 2147, "sequence_id": 58, "annotations": []}
{"role": "student", "content": "do the numbers I wrote down work", "session_id": 2147, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "Yes those are correct", "session_id": 2147, "sequence_id": 60, "annotations": []}
{"role": "student", "content": "okay", "session_id": 2147, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "For part (e), concavity is up whenever f\"(x) is greater than zero", "session_id": 2147, "sequence_id": 62, "annotations": []}
{"role": "student", "content": "ohh okay", "session_id": 2147, "sequence_id": 63, "annotations": []}
{"role": "student", "content": "so would it be (-1,2)u(5,7) still", "session_id": 2147, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "The second part of the interval is correct. Try thinking about the first part", "session_id": 2147, "sequence_id": 65, "annotations": []}
{"role": "student", "content": "(-3,2)?", "session_id": 2147, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "Perfect!", "session_id": 2147, "sequence_id": 67, "annotations": []}
{"role": "student", "content": "okk", "session_id": 2147, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "Moving on to part (e), I think the answer has to be x = -5 because that's the only maximum I saw, but Im unsure about x = 7. I would ask your teacher about this one too", "session_id": 2147, "sequence_id": 69, "annotations": []}
{"role": "student", "content": "Okay I will do that", "session_id": 2147, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "Sorry my time is running short, but for part (e) I would take all the information that we found out before and use that to sketch a graph.", "session_id": 2147, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "If you want additional resources, Lincoln High, Organic Chemistry Tutor, or Brooklyn Notes", "session_id": 2147, "sequence_id": 72, "annotations": [{"pii_type": "SCHOOL", "surrogate": "Lincoln High", "start": 34, "end": 46}, {"pii_type": "LOCATION", "surrogate": "Brooklyn", "start": 76, "end": 84}]}
{"role": "student", "content": "Okayy no worries!", "session_id": 2147, "sequence_id": 73, "annotations": []}
{"role": "student", "content": "thanks for the recommendations!", "session_id": 2147, "sequence_id": 74, "annotations": []}
{"role": "student", "content": "have a good day!", "session_id": 2147, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "You can also stay here for a bit and see if another tutor will come", "session_id": 2147, "sequence_id": 76, "annotations": []}
{"role": "student", "content": "okk sounds good", "session_id": 2147, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "You too! Thank you for participating with UPAchieve", "session_id": 2147, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "Hello, how is it going?", "session_id": 2237, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "What can I help you with today?", "session_id": 2237, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "Solving multi-step equation and inequalities", "session_id": 2237, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "Okay, I can help with that. Do you have any questions that you can put on the board?", "session_id": 2237, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "I need help with the word problems", "session_id": 2237, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "Yes, and are there any that you can put on the board?", "session_id": 2237, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "-2 (3r+4)=-5r-8-r", "session_id": 2237, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "Okay, I put it on the board too. Do you know what our first step is?", "session_id": 2237, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "Yeah you have you distribute the -2", "session_id": 2237, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "Yes, which then becomes?", "session_id": 2237, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "For the left-hand side.", "session_id": 2237, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "Ye", "session_id": 2237, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 2237, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "What does it expand to?", "session_id": 2237, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "-6r-8.", "session_id": 2237, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "Hi, are you there?", "session_id": 2237, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 2237, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "Okay, so what do we do with the right-hand side now?", "session_id": 2237, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "You combine like terms", "session_id": 2237, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "Which are?", "session_id": 2237, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "5r-r", "session_id": 2237, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "Which becomes?", "session_id": 2237, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "4r-8", "session_id": 2237, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "Yes.", "session_id": 2237, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "Now what?", "session_id": 2237, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "So the whole thing is now -6r-8=4r-8", "session_id": 2237, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "Yes.", "session_id": 2237, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "Now you do the opposite operation so now you add 6r and 4r", "session_id": 2237, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "Yes, you can do that.", "session_id": 2237, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "Now you get -8 = 10r - 8.", "session_id": 2237, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "So now you do -8+8", "session_id": 2237, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "Yes, which becomes 0.", "session_id": 2237, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "So 0 = 10r.", "session_id": 2237, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 2237, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "So what does r equal?", "session_id": 2237, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "0", "session_id": 2237, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "Yes.", "session_id": 2237, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "That's your answer.", "session_id": 2237, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "Im correct", "session_id": 2237, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "Yes.", "session_id": 2237, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "Can we a do a word problem", "session_id": 2237, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "Sure.", "session_id": 2237, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "Do you want me to put one on the board, or do you already have one?", "session_id": 2237, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "Can you put one", "session_id": 2237, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "Sure.", "session_id": 2237, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "Did you get the word problem", "session_id": 2237, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "I put it on the board.", "session_id": 2237, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "This one involves solving multistep inequalities.", "session_id": 2237, "sequence_id": 47, "annotations": []}
{"role": "student", "content": "Ok", "session_id": 2237, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "Do you need assistance?", "session_id": 2237, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "Hi!", "session_id": 2377, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "hii", "session_id": 2377, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "I agree with this answer", "session_id": 2377, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "i got 12/17", "session_id": 2377, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "I only see 13 triangles in the image", "session_id": 2377, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "Are there supposed to be 17?", "session_id": 2377, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "yes", "session_id": 2377, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "this counts also", "session_id": 2377, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "Ok. The only thing I can think of is that the circled triangles are \"right\" triangles because you're not given the non-right angle values and you're only given two of the sides", "session_id": 2377, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "Let me know if it works", "session_id": 2377, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "okay so put these 3 in right angle", "session_id": 2377, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "Yes", "session_id": 2377, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "okill do it rn", "session_id": 2377, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "9/12", "session_id": 2377, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "9/17", "session_id": 2377, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "Ok, so you must have had them in the right categories before", "session_id": 2377, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "I'm sorry, but I'm not sure why your original answer is wrong", "session_id": 2377, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "yh me too\ud83d\ude2d", "session_id": 2377, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "Is it possible to view a hint?", "session_id": 2377, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "nope", "session_id": 2377, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "Are you able to just skip to a different problem? Do you have another problem you need help with?", "session_id": 2377, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "thats all", "session_id": 2377, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "ty for ur help", "session_id": 2377, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "You're welcome, you can try a different tutor. Good luck!", "session_id": 2377, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "Hi Sophia", "session_id": 2444, "sequence_id": 0, "annotations": [{"pii_type": "PERSON", "surrogate": "Sophia", "start": 3, "end": 9}]}
{"role": "student", "content": "hii", "session_id": 2444, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "How can I help", "session_id": 2444, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "I may logout if no reply.", "session_id": 2444, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "hi", "session_id": 2444, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "sorry for the wait", "session_id": 2444, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "its a bit laggy", "session_id": 2444, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "um", "session_id": 2444, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "i wanna know about", "session_id": 2444, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "central andinscribed angles", "session_id": 2444, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "ill find and upload", "session_id": 2444, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "Ok lemme search that", "session_id": 2444, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "yea you can upload", "session_id": 2444, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "central angle is an angle whose apex is the center O of a circle and whose legs are radii intersecting the circle in two distinct points A and B.", "session_id": 2444, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "yea", "session_id": 2444, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "geometry, an inscribed angle is the angle formed in the interior of a circle when two chords intersect on the circle.", "session_id": 2444, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "oki", "session_id": 2444, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "So for circle", "session_id": 2444, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "then we can find some lgnth for things also", "session_id": 2444, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "The angle onto center is central angle", "session_id": 2444, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "inside a trignale", "session_id": 2444, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "ill upload", "session_id": 2444, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "And inscribed circle is the angle of circle's edge", "session_id": 2444, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "Right", "session_id": 2444, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "Honestly I should go but please work on your connection.", "session_id": 2444, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "hey Emily", "session_id": 2464, "sequence_id": 0, "annotations": [{"pii_type": "PERSON", "surrogate": "Emily", "start": 4, "end": 9}]}
{"role": "volunteer", "content": "What do you need help with", "session_id": 2464, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "alright lets do the 1st question", "session_id": 2464, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "for the 2 points find the slope", "session_id": 2464, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "alright", "session_id": 2464, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "looks good", "session_id": 2464, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "I used this formula but I heard you could do this in the point slope slope", "session_id": 2464, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "so do you know the rule to have parallel lines", "session_id": 2464, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "I don't know how to use that formula", "session_id": 2464, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "this forumal also works", "session_id": 2464, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "but I want to learn the point slope form because I think my teacher prefers that", "session_id": 2464, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "alright the forumla for point slope form is y-y1 = m(x-x1)", "session_id": 2464, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "x_coord,y_coord= 3,6", "session_id": 2464, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "can you solve it on the board please using the point slope formula?", "session_id": 2464, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "and the slope which is m we found out is 2/3", "session_id": 2464, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "I already solved it so ..", "session_id": 2464, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "this would be the equation of the line that is graphed on the graph on problem 3", "session_id": 2464, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "oh I mean the answer", "session_id": 2464, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "lets go to the next one", "session_id": 2464, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "so for a perpendicular line we need to find the negative reciprocal", "session_id": 2464, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "like how 3 = -1/3", "session_id": 2464, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "can you solve it on the board?", "session_id": 2464, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "I don't understand reading the messages", "session_id": 2464, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "alright I solved it on the board for you", "session_id": 2464, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "okay  thank you", "session_id": 2464, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "uh where is it?", "session_id": 2464, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "I don't see it on the board", "session_id": 2464, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "I will write it out again", "session_id": 2464, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "the answers for both", "session_id": 2464, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "I can't see nothing except for my writing ?", "session_id": 2464, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "I will just type it then for number 3 it was y= 2/3x+4", "session_id": 2464, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "and for 4 it was -1/4x+3.25", "session_id": 2464, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "no on the board", "session_id": 2464, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "oh", "session_id": 2464, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "I dont know maybe refresh", "session_id": 2464, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "oh I  can see it now finally", "session_id": 2464, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "alright sounds good", "session_id": 2464, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "can we end the session now", "session_id": 2464, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "uhh do you have to go?", "session_id": 2464, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "do you need help with somethibg ekse", "session_id": 2464, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "actually nvm bye", "session_id": 2464, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "alright bye", "session_id": 2464, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "Hi Jamie, what did you need help with today?", "session_id": 2741, "sequence_id": 0, "annotations": [{"pii_type": "PERSON", "surrogate": "Jamie", "start": 3, "end": 8}]}
{"role": "student", "content": "hello", "session_id": 2741, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "give me quick sec", "session_id": 2741, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "that", "session_id": 2741, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "something like that", "session_id": 2741, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "what does 1 represent in the tangent line", "session_id": 2741, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "deriv", "session_id": 2741, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "at that point", "session_id": 2741, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "the instantaneous rate of change", "session_id": 2741, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "at the point", "session_id": 2741, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "okay", "session_id": 2741, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "ie the slope at that point", "session_id": 2741, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "now whats the next step", "session_id": 2741, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "good!", "session_id": 2741, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "is there anything else you need help with", "session_id": 2741, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "yes", "session_id": 2741, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "just give me a sec", "session_id": 2741, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "ok", "session_id": 2741, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "I was just writing it on paper", "session_id": 2741, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "you can paste the picture or re-write on the board", "session_id": 2741, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "yea baby", "session_id": 2741, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "perfect", "session_id": 2741, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "we don't worry about e", "session_id": 2741, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "because it's always positive", "session_id": 2741, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "im ready for the next problem if you have one", "session_id": 2741, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "as a matter of fact I do", "session_id": 2741, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "but give me a sec", "session_id": 2741, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "that is it", "session_id": 2741, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "that asking for the smallest deriv?", "session_id": 2741, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "yeah thats the first step", "session_id": 2741, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "do we have to find critical point", "session_id": 2741, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "cuz there the slope is 0", "session_id": 2741, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "so minimum value of a slope is going to be t=0", "session_id": 2741, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "wait what", "session_id": 2741, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "what that > for", "session_id": 2741, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "its basically just showing x^2>0 is a minimum value of the slope", "session_id": 2741, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "is that calc BC black magic", "session_id": 2741, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "sorry theres an easier way to do this, ignore what i said, just find the critical point", "session_id": 2741, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "so thats the second deriv", "session_id": 2741, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "wait", "session_id": 2741, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "so first deriv test and second deriv test", "session_id": 2741, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "the first one tells us where the critical point is", "session_id": 2741, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "and the second one tells us the concavity", "session_id": 2741, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "correct?", "session_id": 2741, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "yes but in this case", "session_id": 2741, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "you are mistaken", "session_id": 2741, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "that's not y'", "session_id": 2741, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "it's y''", "session_id": 2741, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "noo wait sorry i took calc ab years ago, yea and we need concavity", "session_id": 2741, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "because that tells us maxes and mins", "session_id": 2741, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "so yes, y''", "session_id": 2741, "sequence_id": 50, "annotations": []}
{"role": "student", "content": "second deriv test I believe tell us the inflection point", "session_id": 2741, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "hello", "session_id": 2741, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "no, the second test shows inflection points, but you said so yourself, its talking about concavity", "session_id": 2741, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "and so we just set the y\"=0", "session_id": 2741, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "and when you do that, x=0, and you plug that in y'", "session_id": 2741, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "do you have anything else", "session_id": 2741, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "request another session when ur back", "session_id": 2741, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "Hi, do you need help solving the question on the whiteboard?", "session_id": 2820, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "Could you let me know if I am doing correctl", "session_id": 2820, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "Yup of course.", "session_id": 2820, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "Yup looks right to me.", "session_id": 2820, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "I am doing SAT Review, so I want to make sure I am doing past concepts correctly.", "session_id": 2820, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "Or if there is any room to do problems more efficiently, it would be great if you could suggest.", "session_id": 2820, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "I feel like these type of questions, there aren't many ways to do them more efficiently.", "session_id": 2820, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "It's really just whether you can understand them conceptually fast enough without wasting as much time.", "session_id": 2820, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "OK", "session_id": 2820, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "Great, do you want to look over some other questions?", "session_id": 2820, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "Yes,", "session_id": 2820, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "let me share some questions", "session_id": 2820, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "Ok", "session_id": 2820, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "Alright, should we go over all of them?", "session_id": 2820, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "Yes, just to review", "session_id": 2820, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "Ok", "session_id": 2820, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "Could you also let me know if these are correct or not?", "session_id": 2820, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "Yup, thats what I got as well", "session_id": 2820, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "Of course", "session_id": 2820, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "Yup, thats right", "session_id": 2820, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "OK, so for similarity, we can use: \nSSS, SAS, or AA(A)\n\nFor congruence, it would be: \nSSS, SAS, ASA, and AAS, right?", "session_id": 2820, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "Yes", "session_id": 2820, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "Would this be a valid way to do it?", "session_id": 2820, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "Can we assume that drawing from the angle of the triangle bisects it?", "session_id": 2820, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "Yes, this is exactly how I would do it as well.", "session_id": 2820, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "Yes, because that is implied inside the definition of an inscribed circle", "session_id": 2820, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "Yup", "session_id": 2820, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "ok", "session_id": 2820, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "So often times, with inscribed in circles/triangles, we often use the 30-60-90 rule.", "session_id": 2820, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "Yes, that's a good rule to keep in mind. Try bisecting angles and utilize the 30-60-90 rule!", "session_id": 2820, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "OK", "session_id": 2820, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "Looks right.", "session_id": 2820, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "Okay", "session_id": 2820, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "We know that these triangles are similar because of AA.", "session_id": 2820, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "Oh, I made a mistake", "session_id": 2820, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "We would not divide solely the 15 by 1.5", "session_id": 2820, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "Let me redo", "session_id": 2820, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "Yup, take your time.", "session_id": 2820, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "Yes, this is what I did.", "session_id": 2820, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "Yup, looks right.", "session_id": 2820, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "Ok great", "session_id": 2820, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "Do you have any more problems or questions conceptually that I can help you with", "session_id": 2820, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "I wanted to review all these problems.", "session_id": 2820, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "However, not conceptually, more of checking. I can end the session as well.", "session_id": 2820, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "Ok great!", "session_id": 2820, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "That's perfectly fine.", "session_id": 2820, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "I can contiunue checking no need to end the session, unless you want to.", "session_id": 2820, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "If you need help, you can ask me for some hints.", "session_id": 2820, "sequence_id": 47, "annotations": []}
{"role": "student", "content": "Okay, I think I finally got an answer", "session_id": 2820, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "The main thing I was struggling with is which side corresponds with which.", "session_id": 2820, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "I got 7.8, a little bit different to what you got.", "session_id": 2820, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "I may be wrong tho", "session_id": 2820, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "We just use the angles though", "session_id": 2820, "sequence_id": 52, "annotations": []}
{"role": "student", "content": "right?", "session_id": 2820, "sequence_id": 53, "annotations": []}
{"role": "student", "content": "the opposite angle", "session_id": 2820, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "yes that is a common issue, I personally would draw the smaller triangle right next to it see what sides correlate with what", "session_id": 2820, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "Hmm, I didn't use any angles.", "session_id": 2820, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "I just set up two similar triangles and set up ratios with their sides", "session_id": 2820, "sequence_id": 57, "annotations": []}
{"role": "student", "content": "Well, yes, but I did angle c is opposite AB", "session_id": 2820, "sequence_id": 58, "annotations": []}
{"role": "student", "content": "and angle ADE is opposite AE", "session_id": 2820, "sequence_id": 59, "annotations": []}
{"role": "student", "content": "and because the angles are the same", "session_id": 2820, "sequence_id": 60, "annotations": []}
{"role": "student", "content": "those are the sides that are similar", "session_id": 2820, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "That is true, however I used the angle DAE is opposite to DE, since AB and DE are the two sides that are similar", "session_id": 2820, "sequence_id": 62, "annotations": []}
{"role": "student", "content": "OK", "session_id": 2820, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "Does that sort of make sense?", "session_id": 2820, "sequence_id": 64, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 2820, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "Yup thats what I got as well.", "session_id": 2820, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "For multiple choice questions like these though, instead of cranking out the heavy Algebra, I would have stopped at the 3x +xsqrt3 and just plugged in the answer choices.", "session_id": 2820, "sequence_id": 67, "annotations": []}
{"role": "student", "content": "which step?", "session_id": 2820, "sequence_id": 68, "annotations": []}
{"role": "student", "content": "here?", "session_id": 2820, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "You could, but there is a lot more x's so I would just stop right here and substituted it", "session_id": 2820, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "Yup what you just wrote", "session_id": 2820, "sequence_id": 71, "annotations": []}
{"role": "student", "content": "So for this, a calculator with the function of keeping the roots would be necessary, right?", "session_id": 2820, "sequence_id": 72, "annotations": []}
{"role": "student", "content": "like when giving an answer", "session_id": 2820, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "It's a great test-taking strategy but if you are trying to actually answer the questions and understand them properly, it might be best for the algebra.", "session_id": 2820, "sequence_id": 74, "annotations": []}
{"role": "student", "content": "Yes, I am more concerned about the test as I am mostly confident in my algebra skills.", "session_id": 2820, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "Cool, then when you make it into that part of the test just plug in the answer choices for x and if you get back 78 +78sqrt3 then you know thats the answer!", "session_id": 2820, "sequence_id": 76, "annotations": []}
{"role": "student", "content": "So for this a calculator with the function of giving an output of roots would be best, right?", "session_id": 2820, "sequence_id": 77, "annotations": []}
{"role": "student", "content": "making that in the settings", "session_id": 2820, "sequence_id": 78, "annotations": []}
{"role": "student", "content": "?", "session_id": 2820, "sequence_id": 79, "annotations": []}
{"role": "student", "content": "Like in a TI calculator?", "session_id": 2820, "sequence_id": 80, "annotations": []}
{"role": "volunteer", "content": "That would be preferred, but in theory you can also do it in your head.", "session_id": 2820, "sequence_id": 81, "annotations": []}
{"role": "student", "content": "Well, but in that case, wouldn't either way be equal?", "session_id": 2820, "sequence_id": 82, "annotations": []}
{"role": "volunteer", "content": "Sorry?", "session_id": 2820, "sequence_id": 83, "annotations": []}
{"role": "volunteer", "content": "I might have misunderstood the question", "session_id": 2820, "sequence_id": 84, "annotations": []}
{"role": "volunteer", "content": "If you plug in 26sqrt3 for x in 3x+xsqrt3, a normal desmos calculatoor might give you a big decimal which will equal 78 + 78sqrt3 or you can use quick substitution to get the same answer.", "session_id": 2820, "sequence_id": 85, "annotations": []}
{"role": "student", "content": "OK, I was asking more about the calculator functionality", "session_id": 2820, "sequence_id": 86, "annotations": []}
{"role": "student", "content": "So I think I can figure out about that later", "session_id": 2820, "sequence_id": 87, "annotations": []}
{"role": "volunteer", "content": "Like a TI-84?", "session_id": 2820, "sequence_id": 88, "annotations": []}
{"role": "volunteer", "content": "Yeah continue for now we can talk about this later, and if you want I can show you how to do it on desmos (the calculator they give you on the exam)", "session_id": 2820, "sequence_id": 89, "annotations": []}
{"role": "student", "content": "OK, I will continue with the rest of the problems. thank you!", "session_id": 2820, "sequence_id": 90, "annotations": []}
{"role": "volunteer", "content": "Hi Maya!", "session_id": 2566, "sequence_id": 0, "annotations": [{"pii_type": "PERSON", "surrogate": "Maya", "start": 3, "end": 7}]}
{"role": "volunteer", "content": "Wsp", "session_id": 2566, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "I'm Coach David", "session_id": 2566, "sequence_id": 2, "annotations": [{"pii_type": "PERSON", "surrogate": "David", "start": 10, "end": 15}]}
{"role": "student", "content": "Hi I need help with one problem please #12", "session_id": 2566, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "Yeah sure!", "session_id": 2566, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "Could you screenshot it over rq", "session_id": 2566, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "Maya, how much do you know how to do?", "session_id": 2566, "sequence_id": 6, "annotations": [{"pii_type": "PERSON", "surrogate": "Maya", "start": 0, "end": 4}]}
{"role": "volunteer", "content": "Like how much do you understand?", "session_id": 2566, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "So I think I have to apply the two tangent theorem to find the values of x and y", "session_id": 2566, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "Then try to calculate the lengths of three sides to calculate the perimeter", "session_id": 2566, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "Yeah, I think you have the general idea", "session_id": 2566, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "But one of the things we need to do is to figure out x and y", "session_id": 2566, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "Oh ok", "session_id": 2566, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "Yeah bc otherwise you can't really solve it lol", "session_id": 2566, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 2566, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "So let's try and figure out an equation", "session_id": 2566, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "Let's take a look at which algebraic formulas are equal to each other using tangent rule", "session_id": 2566, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "Alright", "session_id": 2566, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "Maya so which ones can you find out are equal?", "session_id": 2566, "sequence_id": 18, "annotations": [{"pii_type": "PERSON", "surrogate": "Maya", "start": 0, "end": 4}]}
{"role": "volunteer", "content": "It's okay if you don't know lol", "session_id": 2566, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "Js tell me if you don't", "session_id": 2566, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "Sry I\u2019m not sure", "session_id": 2566, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "Nah you're good bro", "session_id": 2566, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "Okay so using the tangent rule", "session_id": 2566, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "I'll highlight the edges of one pair, and see what you can tell me abt them", "session_id": 2566, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "Ok", "session_id": 2566, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "Now, using the tangent rule", "session_id": 2566, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "What can I conclude abt these two lines?", "session_id": 2566, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "So 2y-7=x+1", "session_id": 2566, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "Yeah there you go", "session_id": 2566, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "Let's write that down rq", "session_id": 2566, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "Mb my handwriting's gonna be a lil chopped", "session_id": 2566, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "I'm on a computer rn and my trackpad is selling", "session_id": 2566, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "Okay, so if we know 2y - 7 = x + 1", "session_id": 2566, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "lol no worries it looks good", "session_id": 2566, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 2566, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "What is another equivalent pair we can find out?", "session_id": 2566, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "Maya", "session_id": 2566, "sequence_id": 37, "annotations": [{"pii_type": "PERSON", "surrogate": "Maya", "start": 0, "end": 4}]}
{"role": "student", "content": "David", "session_id": 2566, "sequence_id": 38, "annotations": [{"pii_type": "PERSON", "surrogate": "David", "start": 0, "end": 5}]}
{"role": "student", "content": "???", "session_id": 2566, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "Mmmm not quite", "session_id": 2566, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "Remember the tangent rule", "session_id": 2566, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "What other lengths of the triangle are brushing the opposite ends of the circle?", "session_id": 2566, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "Oh 11=y+6", "session_id": 2566, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "Yeah there you go", "session_id": 2566, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "Okay, do you know how to solve this equation?", "session_id": 2566, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "Well", "session_id": 2566, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "This system of equations", "session_id": 2566, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "It's okay if you don't", "session_id": 2566, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "So 2y=19", "session_id": 2566, "sequence_id": 49, "annotations": []}
{"role": "student", "content": "11=15.5", "session_id": 2566, "sequence_id": 50, "annotations": []}
{"role": "student", "content": "I\u2019m not sure", "session_id": 2566, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "It's okay dw", "session_id": 2566, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "Okay, so how could we reduce this to a one variable equation?", "session_id": 2566, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "Like how do we turn one of the equations into JUST x terms or JUST y terms", "session_id": 2566, "sequence_id": 54, "annotations": []}
{"role": "student", "content": "Simplifying and solving", "session_id": 2566, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "Wellll yes but how?", "session_id": 2566, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "Okay let's take the equation above for example", "session_id": 2566, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "How would I turn this into an equation with just y values?", "session_id": 2566, "sequence_id": 58, "annotations": []}
{"role": "student", "content": "I can\u2019t use the border for life of me so I\u2019m just gonna type it out", "session_id": 2566, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "LOL", "session_id": 2566, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "Maya sure that works too", "session_id": 2566, "sequence_id": 61, "annotations": [{"pii_type": "PERSON", "surrogate": "Maya", "start": 0, "end": 4}]}
{"role": "student", "content": "2y-7=x+1", "session_id": 2566, "sequence_id": 62, "annotations": []}
{"role": "student", "content": "2y-7=11+1", "session_id": 2566, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "Where'd you get 11?", "session_id": 2566, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "Dw dude you're good", "session_id": 2566, "sequence_id": 65, "annotations": []}
{"role": "student", "content": "I got it from one of the sides", "session_id": 2566, "sequence_id": 66, "annotations": []}
{"role": "student", "content": "Is that wrong", "session_id": 2566, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "Yeah but I understand why you thought that lol", "session_id": 2566, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "Dw bro this is a very tricky problem", "session_id": 2566, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "Okay, so let's first go to y + 6 = 11", "session_id": 2566, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "What can I tell about y?", "session_id": 2566, "sequence_id": 71, "annotations": []}
{"role": "student", "content": "y=5", "session_id": 2566, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "Bingo", "session_id": 2566, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "So, let's apply this to the other equation above", "session_id": 2566, "sequence_id": 74, "annotations": []}
{"role": "volunteer", "content": "Now, can you solve x?", "session_id": 2566, "sequence_id": 75, "annotations": []}
{"role": "student", "content": "Ok", "session_id": 2566, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "Try your best", "session_id": 2566, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "If you don't know how to do it that's okay", "session_id": 2566, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "This stuff is hard", "session_id": 2566, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "I didn't get it first time either", "session_id": 2566, "sequence_id": 80, "annotations": []}
{"role": "student", "content": "Alright", "session_id": 2566, "sequence_id": 81, "annotations": []}
{"role": "student", "content": "Yeah it is", "session_id": 2566, "sequence_id": 82, "annotations": []}
{"role": "student", "content": "x=2", "session_id": 2566, "sequence_id": 83, "annotations": []}
{"role": "volunteer", "content": "Boom", "session_id": 2566, "sequence_id": 84, "annotations": []}
{"role": "volunteer", "content": "Nice job bro", "session_id": 2566, "sequence_id": 85, "annotations": []}
{"role": "volunteer", "content": "Man I love the confetti button lol", "session_id": 2566, "sequence_id": 86, "annotations": []}
{"role": "student", "content": "lol it\u2019s great", "session_id": 2566, "sequence_id": 87, "annotations": []}
{"role": "volunteer", "content": "Okay so", "session_id": 2566, "sequence_id": 88, "annotations": []}
{"role": "volunteer", "content": "We now know our two variables", "session_id": 2566, "sequence_id": 89, "annotations": []}
{"role": "student", "content": "Right", "session_id": 2566, "sequence_id": 90, "annotations": []}
{"role": "volunteer", "content": "So, to figure out the perimeter", "session_id": 2566, "sequence_id": 91, "annotations": []}
{"role": "volunteer", "content": "Don't I just add everything up?", "session_id": 2566, "sequence_id": 92, "annotations": []}
{"role": "student", "content": "Yeah but isn\u2019t their a circle in the middle", "session_id": 2566, "sequence_id": 93, "annotations": []}
{"role": "volunteer", "content": "That doesn't count for the perimeter of the triangle", "session_id": 2566, "sequence_id": 94, "annotations": []}
{"role": "volunteer", "content": "Does it?", "session_id": 2566, "sequence_id": 95, "annotations": []}
{"role": "student", "content": "Yeah no ", "session_id": 2566, "sequence_id": 96, "annotations": []}
{"role": "student", "content": "For area but ", "session_id": 2566, "sequence_id": 97, "annotations": []}
{"role": "student", "content": "No yeah this is just perimeter", "session_id": 2566, "sequence_id": 98, "annotations": []}
{"role": "volunteer", "content": "Yeah but it asks for perimeter", "session_id": 2566, "sequence_id": 99, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 2566, "sequence_id": 100, "annotations": []}
{"role": "volunteer", "content": "Ay bro you crushed this problem", "session_id": 2566, "sequence_id": 101, "annotations": []}
{"role": "volunteer", "content": "I think you got the general idea", "session_id": 2566, "sequence_id": 102, "annotations": []}
{"role": "volunteer", "content": "You js needed like some tips to do the algebraic stuff", "session_id": 2566, "sequence_id": 103, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 2566, "sequence_id": 104, "annotations": []}
{"role": "student", "content": "Trueee", "session_id": 2566, "sequence_id": 105, "annotations": []}
{"role": "volunteer", "content": "Great", "session_id": 2566, "sequence_id": 106, "annotations": []}
{"role": "volunteer", "content": "Do you have some other problems you wanna work on?", "session_id": 2566, "sequence_id": 107, "annotations": []}
{"role": "student", "content": "No, that was it. Thank you very much.", "session_id": 2566, "sequence_id": 108, "annotations": []}
{"role": "volunteer", "content": "Yeah np!", "session_id": 2566, "sequence_id": 109, "annotations": []}
{"role": "volunteer", "content": "Maya, see you later!", "session_id": 2566, "sequence_id": 110, "annotations": [{"pii_type": "PERSON", "surrogate": "Maya", "start": 0, "end": 4}]}
{"role": "volunteer", "content": "Maya", "session_id": 2566, "sequence_id": 111, "annotations": [{"pii_type": "PERSON", "surrogate": "Maya", "start": 0, "end": 4}]}
{"role": "student", "content": "David", "session_id": 2566, "sequence_id": 112, "annotations": [{"pii_type": "PERSON", "surrogate": "David", "start": 0, "end": 5}]}
{"role": "volunteer", "content": "Okay not see you later mb", "session_id": 2566, "sequence_id": 113, "annotations": []}
{"role": "volunteer", "content": "But bye lol", "session_id": 2566, "sequence_id": 114, "annotations": []}
{"role": "volunteer", "content": "Hi, how can I help you?", "session_id": 2891, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "hi", "session_id": 2891, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "how are you", "session_id": 2891, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "I'm great, how are you!", "session_id": 2891, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "Today I need help with basically going over some lessons in math to get ahead also to understnd the topic, and it is on  Factor out the GCF (including negative GCF)\nLevel 2: Factor trinomials where the leading coefficient is 1 \ufffd\nLevel 3: Factor trinomials where the leading coefficient is not 1 \ufffd\nLevel 4: Factor by grouping (four-term polynomials)", "session_id": 2891, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "i was thinking we can do 10 pratice promblems for each lesson to test my understnading", "session_id": 2891, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "Perfect, that's completely fine.", "session_id": 2891, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "Just paste them in on the whiteboard or right here.", "session_id": 2891, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "I dont have any promblms to paste", "session_id": 2891, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "Oh, I see. Do you want me to find the problems and we can work on them together?", "session_id": 2891, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "yeah and you can test me on them", "session_id": 2891, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "Ok great.", "session_id": 2891, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "I  kinda know how to do them", "session_id": 2891, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "Thats good, I will find some problems.", "session_id": 2891, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "ok", "session_id": 2891, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "can you see the problem on the whiteboard?", "session_id": 2891, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "yes", "session_id": 2891, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "Ok, I will put a few more down, and you can just paste the questions in here or wherever you please.", "session_id": 2891, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "ok", "session_id": 2891, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "Do you still want exactly 10 per each", "session_id": 2891, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "yeah for each lesson", "session_id": 2891, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "Ok", "session_id": 2891, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "do you want me to paste the answrs when i done with all of them or 1 by 1", "session_id": 2891, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "You can put them one by one", "session_id": 2891, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "1. 6(x+2) 2. 15 ( y^2-2)", "session_id": 2891, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "3. 7x y^2 ( 3x^2- 1 y^2)", "session_id": 2891, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "am i correct so far", "session_id": 2891, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "Oh sorry, I forgot to ask if you want feedback one by one or after you're done with all.", "session_id": 2891, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 2891, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "1 is correct. 2 is correct as well. 3. is slightly incorrect, you idenftified what to factor out but inside the parenthesis there is an issue.", "session_id": 2891, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "Additionally, do you want to look at all these questions togehter per topic or should I just paste all the questions in for all of them and we can review it as we g?", "session_id": 2891, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "maybe look at questions per topic", "session_id": 2891, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "Ok", "session_id": 2891, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "is 3 . 7xy^2 ( 3x^2- 1y)", "session_id": 2891, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "Yes perfect!", "session_id": 2891, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "4) 12kx^2 ( 1-4xk)", "session_id": 2891, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "Yup, looks great.", "session_id": 2891, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "5 - 2x^2 y(2-17x^3 y^5)", "session_id": 2891, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "Yup looks good if the - is a dash not a negative.", "session_id": 2891, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "no its not negative", "session_id": 2891, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "K great", "session_id": 2891, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "for 6 the vairables look off", "session_id": 2891, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "yzx", "session_id": 2891, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "nevermind i can still factor", "session_id": 2891, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "It's great you saw that, that was a trick question.", "session_id": 2891, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "yeah im confused how would i put this together", "session_id": 2891, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "Oh ok, how did you try starting this off.", "session_id": 2891, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "is it 3y( 2z^3-7yx)", "session_id": 2891, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "Yes thats correct", "session_id": 2891, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "7 . 3a(3ab+3bc)", "session_id": 2891, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "Almost, make sure to check if you can factor something else out as well", "session_id": 2891, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "And also check the 3 you factored out one more time", "session_id": 2891, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "ohh  3a( 3ab +1 bc)", "session_id": 2891, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "Almost, check the variables one more time.", "session_id": 2891, "sequence_id": 53, "annotations": []}
{"role": "student", "content": "3ab( 3a + 1 c)", "session_id": 2891, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "Yes, perfect", "session_id": 2891, "sequence_id": 55, "annotations": []}
{"role": "student", "content": "this is what i got for 8 8) -14xy^2 ( 1 -2x^2 y^4)", "session_id": 2891, "sequence_id": 56, "annotations": []}
{"role": "student", "content": "-14xy^2 ( 1 -2x^2 y^4)", "session_id": 2891, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "Ooh, almost and probably the most easy to miss mistake. Check the signs, its always confusing factoring a negative number.", "session_id": 2891, "sequence_id": 58, "annotations": []}
{"role": "student", "content": "ok", "session_id": 2891, "sequence_id": 59, "annotations": []}
{"role": "student", "content": "8) -14xy^2 ( 1 +2x^2 y^4)", "session_id": 2891, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "Yup that's right", "session_id": 2891, "sequence_id": 61, "annotations": []}
{"role": "student", "content": "yeah those ones be tricky with the signs", "session_id": 2891, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "Yeah is difficult to keep track of them.", "session_id": 2891, "sequence_id": 63, "annotations": []}
{"role": "student", "content": "-5rs ( 5r+ 1)", "session_id": 2891, "sequence_id": 64, "annotations": []}
{"role": "student", "content": "for 9", "session_id": 2891, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "Yup", "session_id": 2891, "sequence_id": 66, "annotations": []}
{"role": "student", "content": "10 . 1x (6y-5z^4)", "session_id": 2891, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "Yes, perfect.", "session_id": 2891, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "Ok, now if you have questions you can ask me, otherwise you can continue with the trnomial ones.", "session_id": 2891, "sequence_id": 69, "annotations": []}
{"role": "student", "content": "(x+1)(x+1)", "session_id": 2891, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "Correct", "session_id": 2891, "sequence_id": 71, "annotations": []}
{"role": "student", "content": "(x+4)(x+3)", "session_id": 2891, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "That's right", "session_id": 2891, "sequence_id": 73, "annotations": []}
{"role": "student", "content": "is 3 unfactorable", "session_id": 2891, "sequence_id": 74, "annotations": []}
{"role": "volunteer", "content": "Um, it is factorable, keep in mind the properties of negative numbers.", "session_id": 2891, "sequence_id": 75, "annotations": []}
{"role": "student", "content": "(x-3)(x-2)", "session_id": 2891, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "Yup", "session_id": 2891, "sequence_id": 77, "annotations": []}
{"role": "student", "content": "(x+4)(x+5)", "session_id": 2891, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "Yup", "session_id": 2891, "sequence_id": 79, "annotations": []}
{"role": "student", "content": "(x+3)(x+5)", "session_id": 2891, "sequence_id": 80, "annotations": []}
{"role": "student", "content": "X-5", "session_id": 2891, "sequence_id": 81, "annotations": []}
{"role": "volunteer", "content": "Yup", "session_id": 2891, "sequence_id": 82, "annotations": []}
{"role": "student", "content": "(x+3)(x-4)", "session_id": 2891, "sequence_id": 83, "annotations": []}
{"role": "volunteer", "content": "Yes", "session_id": 2891, "sequence_id": 84, "annotations": []}
{"role": "student", "content": "(x+5)(x+6)", "session_id": 2891, "sequence_id": 85, "annotations": []}
{"role": "volunteer", "content": "Yes", "session_id": 2891, "sequence_id": 86, "annotations": []}
{"role": "student", "content": "(x-3)(x-5)", "session_id": 2891, "sequence_id": 87, "annotations": []}
{"role": "volunteer", "content": "Yup", "session_id": 2891, "sequence_id": 88, "annotations": []}
{"role": "student", "content": "(x+7)(x-3)", "session_id": 2891, "sequence_id": 89, "annotations": []}
{"role": "volunteer", "content": "Yup", "session_id": 2891, "sequence_id": 90, "annotations": []}
{"role": "student", "content": "(x-7)(x-3)", "session_id": 2891, "sequence_id": 91, "annotations": []}
{"role": "volunteer", "content": "Yes", "session_id": 2891, "sequence_id": 92, "annotations": []}
{"role": "student", "content": "is it (1x+3)( 2x+1)", "session_id": 2891, "sequence_id": 93, "annotations": []}
{"role": "volunteer", "content": "yup", "session_id": 2891, "sequence_id": 94, "annotations": []}
{"role": "volunteer", "content": "I ran out of space for the third level, once you are done, I will put level 4 on top.", "session_id": 2891, "sequence_id": 95, "annotations": []}
{"role": "student", "content": "ok", "session_id": 2891, "sequence_id": 96, "annotations": []}
{"role": "student", "content": "for 2.  (1x-1)(3x-2)", "session_id": 2891, "sequence_id": 97, "annotations": []}
{"role": "volunteer", "content": "Yup", "session_id": 2891, "sequence_id": 98, "annotations": []}
{"role": "student", "content": "(4x+9)(x+1)", "session_id": 2891, "sequence_id": 99, "annotations": []}
{"role": "volunteer", "content": "yup", "session_id": 2891, "sequence_id": 100, "annotations": []}
{"role": "student", "content": "4- (1x-1) (5x+16)", "session_id": 2891, "sequence_id": 101, "annotations": []}
{"role": "student", "content": "(5x+60", "session_id": 2891, "sequence_id": 102, "annotations": []}
{"role": "student", "content": "(5x+6)", "session_id": 2891, "sequence_id": 103, "annotations": []}
{"role": "volunteer", "content": "Yes", "session_id": 2891, "sequence_id": 104, "annotations": []}
{"role": "student", "content": "i got stuck on 5 on part where you do {6x^2-4x} {-15x-10}", "session_id": 2891, "sequence_id": 105, "annotations": []}
{"role": "student", "content": "should i make -4 +4", "session_id": 2891, "sequence_id": 106, "annotations": []}
{"role": "student", "content": "i think that was my mistake", "session_id": 2891, "sequence_id": 107, "annotations": []}
{"role": "volunteer", "content": "Yup", "session_id": 2891, "sequence_id": 108, "annotations": []}
{"role": "student", "content": "(2x-5)(3x+2)", "session_id": 2891, "sequence_id": 109, "annotations": []}
{"role": "volunteer", "content": "Yes that's right", "session_id": 2891, "sequence_id": 110, "annotations": []}
{"role": "student", "content": "(1x-4) (2x-1)", "session_id": 2891, "sequence_id": 111, "annotations": []}
{"role": "volunteer", "content": "Yup", "session_id": 2891, "sequence_id": 112, "annotations": []}
{"role": "student", "content": "(7x+7)(x+7)", "session_id": 2891, "sequence_id": 113, "annotations": []}
{"role": "volunteer", "content": "Try that one again", "session_id": 2891, "sequence_id": 114, "annotations": []}
{"role": "student", "content": "7 ( x+1)(x+1)", "session_id": 2891, "sequence_id": 115, "annotations": []}
{"role": "volunteer", "content": "Yup", "session_id": 2891, "sequence_id": 116, "annotations": []}
{"role": "student", "content": "yeah that was one was confusing", "session_id": 2891, "sequence_id": 117, "annotations": []}
{"role": "volunteer", "content": "Yeah, its a good reminder that questions can be answered in different questions", "session_id": 2891, "sequence_id": 118, "annotations": []}
{"role": "volunteer", "content": "*different ways", "session_id": 2891, "sequence_id": 119, "annotations": []}
{"role": "student", "content": "( 1x+2) (3x+4)", "session_id": 2891, "sequence_id": 120, "annotations": []}
{"role": "volunteer", "content": "Yup", "session_id": 2891, "sequence_id": 121, "annotations": []}
{"role": "student", "content": "(1x-1)(4x+3)", "session_id": 2891, "sequence_id": 122, "annotations": []}
{"role": "volunteer", "content": "Correct", "session_id": 2891, "sequence_id": 123, "annotations": []}
{"role": "student", "content": "for these ones we just group them", "session_id": 2891, "sequence_id": 124, "annotations": []}
{"role": "volunteer", "content": "Yup", "session_id": 2891, "sequence_id": 125, "annotations": []}
{"role": "volunteer", "content": "Are these questions fine?", "session_id": 2891, "sequence_id": 126, "annotations": []}
{"role": "student", "content": "yeah thank you for your help this helps me out alot", "session_id": 2891, "sequence_id": 127, "annotations": []}
{"role": "volunteer", "content": "Great, do you want to do these problems together?", "session_id": 2891, "sequence_id": 128, "annotations": []}
{"role": "student", "content": "I think i got it its kinda kinda like the last one will i have to find the gcf for some of them ??", "session_id": 2891, "sequence_id": 129, "annotations": []}
{"role": "volunteer", "content": "Yes that's exactly how it is.", "session_id": 2891, "sequence_id": 130, "annotations": []}
{"role": "volunteer", "content": "For these polynomials more than trinomials you just do these stuff, but you are most likely going to learn other ways to solve them in the future.", "session_id": 2891, "sequence_id": 131, "annotations": []}
{"role": "volunteer", "content": "Additionally, you can keep in mind on an assessment you can reverse the factoring by distributing to see if you end up with the first answer.", "session_id": 2891, "sequence_id": 132, "annotations": []}
{"role": "volunteer", "content": "Otherwise, if you have any other questions, have a great day!", "session_id": 2891, "sequence_id": 133, "annotations": []}
{"role": "student", "content": "oh you have to go ??", "session_id": 2891, "sequence_id": 134, "annotations": []}
{"role": "volunteer", "content": "Not necessarily, if you want me to stay, I definitely can.", "session_id": 2891, "sequence_id": 135, "annotations": []}
{"role": "student", "content": "ok I almost done solving 1", "session_id": 2891, "sequence_id": 136, "annotations": []}
{"role": "volunteer", "content": "Ok great.", "session_id": 2891, "sequence_id": 137, "annotations": []}
{"role": "student", "content": "(1x^2 +2) (x+3)", "session_id": 2891, "sequence_id": 138, "annotations": []}
{"role": "volunteer", "content": "Yup", "session_id": 2891, "sequence_id": 139, "annotations": []}
{"role": "student", "content": "(2x^2 +1) (1x-2)", "session_id": 2891, "sequence_id": 140, "annotations": []}
{"role": "volunteer", "content": "Yup", "session_id": 2891, "sequence_id": 141, "annotations": []}
{"role": "student", "content": "(1x^2+2) (x-5)", "session_id": 2891, "sequence_id": 142, "annotations": []}
{"role": "volunteer", "content": "Yup", "session_id": 2891, "sequence_id": 143, "annotations": []}
{"role": "student", "content": "(3x^2 +2) (x+2)", "session_id": 2891, "sequence_id": 144, "annotations": []}
{"role": "volunteer", "content": "Yup", "session_id": 2891, "sequence_id": 145, "annotations": []}
{"role": "student", "content": "(4x^2 +3) (x-2)", "session_id": 2891, "sequence_id": 146, "annotations": []}
{"role": "volunteer", "content": "Looks right", "session_id": 2891, "sequence_id": 147, "annotations": []}
{"role": "student", "content": "(1x^2 +3) (x-7)", "session_id": 2891, "sequence_id": 148, "annotations": []}
{"role": "volunteer", "content": "Yup", "session_id": 2891, "sequence_id": 149, "annotations": []}
{"role": "student", "content": "(5x^2-1)(x+2)", "session_id": 2891, "sequence_id": 150, "annotations": []}
{"role": "volunteer", "content": "Correct", "session_id": 2891, "sequence_id": 151, "annotations": []}
{"role": "student", "content": "(2x+1) (x+3)", "session_id": 2891, "sequence_id": 152, "annotations": []}
{"role": "volunteer", "content": "Yup", "session_id": 2891, "sequence_id": 153, "annotations": []}
{"role": "student", "content": "( 3x^2+2) (2x+3)", "session_id": 2891, "sequence_id": 154, "annotations": []}
{"role": "volunteer", "content": "And yes it looks great", "session_id": 2891, "sequence_id": 155, "annotations": []}
{"role": "student", "content": "Thank you so much", "session_id": 2891, "sequence_id": 156, "annotations": []}
{"role": "volunteer", "content": "Do you have any more questions for me?", "session_id": 2891, "sequence_id": 157, "annotations": []}
{"role": "volunteer", "content": "Yup np", "session_id": 2891, "sequence_id": 158, "annotations": []}
{"role": "student", "content": "no thats it", "session_id": 2891, "sequence_id": 159, "annotations": []}
{"role": "volunteer", "content": "Alright have a good one", "session_id": 2891, "sequence_id": 160, "annotations": []}
{"role": "volunteer", "content": "hello", "session_id": 2961, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "Hello I'm doing my Math homework and I'm needing a little bit more help please.", "session_id": 2961, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "Can you show me what you are working on?", "session_id": 2961, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "Im working with division", "session_id": 2961, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "can you show me the problem that you are working on?", "session_id": 2961, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "Long division, right?", "session_id": 2961, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "yes sir", "session_id": 2961, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "How many times can 27 go into 8?", "session_id": 2961, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "3 times", "session_id": 2961, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "You mean 27 can go into 82   3 times", "session_id": 2961, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "oh sorry", "session_id": 2961, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "what is the next step?", "session_id": 2961, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "multiply", "session_id": 2961, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "Yes, and what does that give you?", "session_id": 2961, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "27 times 3 is 81", "session_id": 2961, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "now we subtract", "session_id": 2961, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "yes, and what does that give you?", "session_id": 2961, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "Hello?", "session_id": 2961, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "Hello, are you still there?", "session_id": 2961, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "Hello??", "session_id": 2961, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "Are you still there?", "session_id": 2961, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "I'm sorry but if I don't hear from you in a minute or two, I will have to close the session.  You can always repost your request when you have more time.", "session_id": 2961, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "Hello?", "session_id": 2961, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "Sorry, bye!", "session_id": 2961, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "hello", "session_id": 2910, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "Hi, how can I help you today", "session_id": 2910, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "Is there any way you can show a more clear picture?", "session_id": 2910, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "with number lines to order rational numbers", "session_id": 2910, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "hold on", "session_id": 2910, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "is this on e better?", "session_id": 2910, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "Yes, that is better", "session_id": 2910, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "Thank you", "session_id": 2910, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "I already erased the wrong parts", "session_id": 2910, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "So is that first part squareroot of 5 & 2.5?", "session_id": 2910, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "no the one with the x on it down. That par is just the example", "session_id": 2910, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "so squareroot of 3 & 14.32?", "session_id": 2910, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "that one is the one we need help with?", "session_id": 2910, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "this first one, and there are others I need help with too", "session_id": 2910, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "Okay so do you know what's the squareroot of 5?", "session_id": 2910, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "2.236", "session_id": 2910, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "Good", "session_id": 2910, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "or 2.2, for the simple form", "session_id": 2910, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "so that is less than the other number which is 2.5", "session_id": 2910, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "So we can start by numbering the number line just like above", "session_id": 2910, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "oki", "session_id": 2910, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "like that?", "session_id": 2910, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "Yes good", "session_id": 2910, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "So where would you place 2.5", "session_id": 2910, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "and square root of 5?", "session_id": 2910, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "Good", "session_id": 2910, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "next one is n the bottom", "session_id": 2910, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "Try to solve the other problem based on how we just solved this one :)", "session_id": 2910, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "I know you can do it!", "session_id": 2910, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "Great job", "session_id": 2910, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "You did it correct!", "session_id": 2910, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "yay", "session_id": 2910, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "that was a before image", "session_id": 2910, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "Okay, this is just the same as the ones you just did", "session_id": 2910, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "So I believe you can do these too", "session_id": 2910, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "Do you want me to let you know if you do these right?", "session_id": 2910, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "yes please", "session_id": 2910, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "Okay :)", "session_id": 2910, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "I would suggest to try to solve the math problems first so you know if those numbers would fit on the number scale", "session_id": 2910, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": ":)", "session_id": 2910, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "oki", "session_id": 2910, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "I am getting the answer for the second one down real quick give me a minute", "session_id": 2910, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "It's okay, no rush", "session_id": 2910, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "for the third one it goes above five for each answer", "session_id": 2910, "sequence_id": 43, "annotations": []}
{"role": "student", "content": "help me please", "session_id": 2910, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "So we want to rearrange the number line to fit those numbers", "session_id": 2910, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "??", "session_id": 2910, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "for example we can start with 2, 2.5, 3, 3.5, 4, 4.5", "session_id": 2910, "sequence_id": 47, "annotations": []}
{"role": "student", "content": "oki", "session_id": 2910, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "like that?", "session_id": 2910, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "Yes", "session_id": 2910, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "So that way, your numbers can fit on the scale :)", "session_id": 2910, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "oki", "session_id": 2910, "sequence_id": 52, "annotations": []}
{"role": "student", "content": "is that right?", "session_id": 2910, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "Let me check it", "session_id": 2910, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "Where is 2pi?", "session_id": 2910, "sequence_id": 55, "annotations": []}
{"role": "student", "content": "6.28 is equal to that", "session_id": 2910, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "Oh okay, I couldn't see it", "session_id": 2910, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "But yes, everything is correct!", "session_id": 2910, "sequence_id": 58, "annotations": []}
{"role": "student", "content": "yay", "session_id": 2910, "sequence_id": 59, "annotations": []}
{"role": "student", "content": "like that?", "session_id": 2910, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "Where'd you put square root of 12?", "session_id": 2910, "sequence_id": 61, "annotations": []}
{"role": "student", "content": "it is 3.5", "session_id": 2910, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "Ah i see you rounded for all of them, okayyy", "session_id": 2910, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "good job!", "session_id": 2910, "sequence_id": 64, "annotations": []}
{"role": "student", "content": "yay", "session_id": 2910, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "You're doing great", "session_id": 2910, "sequence_id": 66, "annotations": []}
{"role": "student", "content": "it goes into the teens for this one", "session_id": 2910, "sequence_id": 67, "annotations": []}
{"role": "student", "content": "the 4i is 12.6", "session_id": 2910, "sequence_id": 68, "annotations": []}
{"role": "student", "content": "4pi", "session_id": 2910, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "Okay try modifying it like we did last time :)", "session_id": 2910, "sequence_id": 70, "annotations": []}
{"role": "student", "content": "but the 18 is 4.2", "session_id": 2910, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "What if we go by 2?", "session_id": 2910, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "like 2, 4, 6, 8, 10...", "session_id": 2910, "sequence_id": 73, "annotations": []}
{"role": "student", "content": "that would work", "session_id": 2910, "sequence_id": 74, "annotations": []}
{"role": "volunteer", "content": "Great!", "session_id": 2910, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "or we could have started with 4,5,6,7,8..", "session_id": 2910, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "either or works", "session_id": 2910, "sequence_id": 77, "annotations": []}
{"role": "student", "content": "right", "session_id": 2910, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "great job!", "session_id": 2910, "sequence_id": 79, "annotations": []}
{"role": "student", "content": "yay", "session_id": 2910, "sequence_id": 80, "annotations": []}
{"role": "volunteer", "content": "Also, unfortunately I do have to go", "session_id": 2910, "sequence_id": 81, "annotations": []}
{"role": "student", "content": "nooo", "session_id": 2910, "sequence_id": 82, "annotations": []}
{"role": "volunteer", "content": "But i know you can do this!", "session_id": 2910, "sequence_id": 83, "annotations": []}
{"role": "student", "content": "oki", "session_id": 2910, "sequence_id": 84, "annotations": []}
{"role": "volunteer", "content": "You have been doing all of these super amazing and correct", "session_id": 2910, "sequence_id": 85, "annotations": []}
{"role": "volunteer", "content": "Trust in yourself and you can do it :)", "session_id": 2910, "sequence_id": 86, "annotations": []}
{"role": "student", "content": ":)", "session_id": 2910, "sequence_id": 87, "annotations": []}
{"role": "volunteer", "content": "Happy holidays!", "session_id": 2910, "sequence_id": 88, "annotations": []}
{"role": "student", "content": "you too", "session_id": 2910, "sequence_id": 89, "annotations": []}
{"role": "student", "content": "Hi. I was trying to do the problem on the board but I must have done something wrong because the csc function can never have a y intercept so there has to be a vertical asymptote at the y axis but if the function got shifted right pi/4 then shouldn't there be a vertical asymptote at x=pi/4? but x=pi/2 so, then there wouldn't be a point in between the two which is impossible", "session_id": 2921, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "can you see what I wrote in the caht", "session_id": 2921, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "*chat", "session_id": 2921, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "yes I'm trying to figure it out", "session_id": 2921, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "ok thanks", "session_id": 2921, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "merry Christmas to you, btw", "session_id": 2921, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "thanks, you too :)", "session_id": 2921, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "wait how can you make the function have a y intercept if the original doesn't have a y intercept. isn't that impossible", "session_id": 2921, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "we are shifting the whole thing by pi/2", "session_id": 2921, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "no were shifting by pi/3. because you have to factor out the 3 in front.", "session_id": 2921, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "oops", "session_id": 2921, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "its ok. that wasn't even my question. I just wanted to know if you could have a y intercept on a transformed function if theoginal didn't have a y intercept.", "session_id": 2921, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "bc I feel like I heard somewhere that u couldnt", "session_id": 2921, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "*the original", "session_id": 2921, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "there ya go", "session_id": 2921, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "my christmas gift to you", "session_id": 2921, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "wait so you're allowed to have a transformed function with a y intercept if the original doesnt? so, in this case even though cscx doesn't have a y intercept, this function can?", "session_id": 2921, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "you're shifting everything by pi/6", "session_id": 2921, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "never mind. I understand where I went wrong.", "session_id": 2921, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "thank you for helping me today", "session_id": 2921, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "have a good christmas, Alex?", "session_id": 2921, "sequence_id": 20, "annotations": [{"pii_type": "PERSON", "surrogate": "Alex", "start": 23, "end": 27}]}
{"role": "student", "content": "I will. you too! :)", "session_id": 2921, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "bye :)", "session_id": 2921, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "thansk", "session_id": 2921, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "Hi, how can I help you", "session_id": 2975, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "I need help with a problem and how to approach problems like it", "session_id": 2975, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "-3x-5x=16", "session_id": 2975, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "Ok, how might you think to start off this question?", "session_id": 2975, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "my first thought is to get rid of the -3", "session_id": 2975, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "on both sides of the equation", "session_id": 2975, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "So we first have to identify between constants and coefficients (numbers with variables and without). -3x is a coefficient as it ends with a variable and since -5x is also a coefficient, you may try to combine like terms.", "session_id": 2975, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "Does that make sense?", "session_id": 2975, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "no", "session_id": 2975, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "but what I think your saying is do -3x-5x prior to taking from the 16", "session_id": 2975, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "Yes, that's what I mean, sorry for the confusion", "session_id": 2975, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "when you combine -3x-5x, what do you simplify the equation to?", "session_id": 2975, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "don't say https://example.comust me I have no clue what I'm doing", "session_id": 2975, "sequence_id": 12, "annotations": [{"pii_type": "URL", "surrogate": "https://example.com", "start": 10, "end": 29}]}
{"role": "student", "content": "-2x", "session_id": 2975, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "you're good lol", "session_id": 2975, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "or because there both negatives it would be just 2", "session_id": 2975, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "2x", "session_id": 2975, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "so -3x-5x is the same as -3-5 just with a variable, when u do that you are taking a negative number and subtracting from it, making its magnitude increase. So lets reconsider what -3-5 would yield", "session_id": 2975, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "I'm thinking 2", "session_id": 2975, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "Ok let's forget about the negative number system at the moment. What is 3+5, because this is -1 times (3+5)", "session_id": 2975, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "8", "session_id": 2975, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "so if I see two negatives I should add", "session_id": 2975, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "In a real world example, if you owe someone 3 bucks and you owe them 5 more, you then owe 8 dollars. (-3-5=-8) just like you said!", "session_id": 2975, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "Ok, so now we are at -8x=16", "session_id": 2975, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "What might be the proceeding step", "session_id": 2975, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "getting rid of the 8", "session_id": 2975, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "-8x", "session_id": 2975, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "Yes, we want to isolate x by getting rid of -8, how do we do that?", "session_id": 2975, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "take -8 from both sides", "session_id": 2975, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "By take, what arithmetic operation are you implying?", "session_id": 2975, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "subtraction", "session_id": 2975, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "ok, so lets reconsider. -8x=16, 16 is a constant, -8x is not, so they are not like terms meaning u can't add or subtract them", "session_id": 2975, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "wait", "session_id": 2975, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "What other operation may you perform to get rid of the -8", "session_id": 2975, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "maybe add....I know I have to cancel something out to isolate the x", "session_id": 2975, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "Ok now let's rethink what -8x really is. It is the multiplication of -8 and the variable x and it makes 16. so how can we reverse the multiplication and thus isolate x?", "session_id": 2975, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "(what is the opposite of multiplication)", "session_id": 2975, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "divide", "session_id": 2975, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "Yes! Perfect, so what happens if you divide both sides by -8?", "session_id": 2975, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "I've never used divison", "session_id": 2975, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "in a problem like this", "session_id": 2975, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "x=2", "session_id": 2975, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "Ok, so you have -8x=16. You divide by -8 on both sides. left hand side: -8x/-8=x. right hand side: 16/(-8), what is that right hand side", "session_id": 2975, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "Very close, reconsider the sign of the answer", "session_id": 2975, "sequence_id": 43, "annotations": []}
{"role": "student", "content": "x=-2", "session_id": 2975, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "Very nice work!", "session_id": 2975, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "Does this conceptually make sense?", "session_id": 2975, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "I'm going to go back through the session we just had. Because no it doesn't make sense yet", "session_id": 2975, "sequence_id": 47, "annotations": []}
{"role": "student", "content": "but it will", "session_id": 2975, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "Ok, sure, we can write the steps out in the whiteboard if that helps?", "session_id": 2975, "sequence_id": 49, "annotations": []}
{"role": "student", "content": "thank you", "session_id": 2975, "sequence_id": 50, "annotations": []}
{"role": "student", "content": "sure", "session_id": 2975, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "I would have never thought to divide", "session_id": 2975, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "Yes, its a skill we develop to isolate things multiplying our variable", "session_id": 2975, "sequence_id": 53, "annotations": []}
{"role": "student", "content": "thank you have a good night", "session_id": 2975, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "Have a good one", "session_id": 2975, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "Hello", "session_id": 3087, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "How can I help you", "session_id": 3087, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "hi do you know how i could do this?", "session_id": 3087, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "Sure", "session_id": 3087, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "No problem", "session_id": 3087, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "i thought it would be 0.8 at top and 1 on bottom", "session_id": 3087, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "Sorry, it logged me out", "session_id": 3087, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "thats ok", "session_id": 3087, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "So let's count the number of blocks in a row.", "session_id": 3087, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "How many blocks are in 1 row", "session_id": 3087, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "10", "session_id": 3087, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "Ok then count the number in a column", "session_id": 3087, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "its 10", "session_id": 3087, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "Ok. Then to find the total number of blocks, multiply 10 by 10", "session_id": 3087, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "10x10=100", "session_id": 3087, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "Ok. then we see that 81 blocks are shaded in", "session_id": 3087, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "ohh so 81 out of 100?", "session_id": 3087, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "Yes", "session_id": 3087, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "That's right", "session_id": 3087, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "Good job", "session_id": 3087, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "Do you have any other questions?", "session_id": 3087, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "yes i have one more second it just taking a while to load", "session_id": 3087, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "Ok", "session_id": 3087, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "Sorry actually I have another student at 11", "session_id": 3087, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "I just remembered", "session_id": 3087, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "I gtg", "session_id": 3087, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "Sorry about that, Sarah", "session_id": 3087, "sequence_id": 26, "annotations": [{"pii_type": "PERSON", "surrogate": "Sarah", "start": 18, "end": 23}]}
{"role": "student", "content": "ok thats ok", "session_id": 3087, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 3087, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "Hi Alex", "session_id": 3071, "sequence_id": 0, "annotations": [{"pii_type": "PERSON", "surrogate": "Alex", "start": 3, "end": 7}]}
{"role": "student", "content": "hey", "session_id": 3071, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "today is scientific notation", "session_id": 3071, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "Right.", "session_id": 3071, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "with operations", "session_id": 3071, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "Can you do the first one?", "session_id": 3071, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "don't know how", "session_id": 3071, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "You just expand them to regular numbers", "session_id": 3071, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "What is 3.51x10\u00b2", "session_id": 3071, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "so just multiply them?", "session_id": 3071, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "and add", "session_id": 3071, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "Yes, but with powers of 10, it's just moving the decimal points around", "session_id": 3071, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "what do you mean", "session_id": 3071, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "Times 10\u00b2 means moving the decimal two places to the right.", "session_id": 3071, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "3.51x10\u00b2 = 351", "session_id": 3071, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "ohh", "session_id": 3071, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "62000?", "session_id": 3071, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "Right", "session_id": 3071, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "then add", "session_id": 3071, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "10\u2074 is 10,000", "session_id": 3071, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "Right", "session_id": 3071, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "So 62,351", "session_id": 3071, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "oki", "session_id": 3071, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "let me do this one on the board", "session_id": 3071, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "I got touch screen", "session_id": 3071, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "For multiplying, you just multiply the coefficients (number parts) then add the exponents", "session_id": 3071, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "same with subtraction?", "session_id": 3071, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "Subtraction is the same ad addidion", "session_id": 3071, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "10\u00b3 = 1000", "session_id": 3071, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "10\u2074 = 10,000\n10\u2075 = 100,000\n10\u2076 = one million\n10\u2079 = one billion", "session_id": 3071, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "am I right?", "session_id": 3071, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "Yes", "session_id": 3071, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "oki", "session_id": 3071, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "what if the exponent is negative", "session_id": 3071, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "Then you move the decimal to the left", "session_id": 3071, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "10\u207b\u00b3 is the same as 1/1000", "session_id": 3071, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "But the easiest way is this", "session_id": 3071, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "....", "session_id": 3071, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "Keep the 10s together.", "session_id": 3071, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "you forgot the one", "session_id": 3071, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "(10\u2075-3\u207b\u00b3) = 10\u2075\u207b\u00b3 = 10\u00b2", "session_id": 3071, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "Does that make sense?", "session_id": 3071, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "You don't want to expand to a regular number when you're just multiplying.", "session_id": 3071, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "a little", "session_id": 3071, "sequence_id": 43, "annotations": []}
{"role": "student", "content": "oki", "session_id": 3071, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "It's easier just to multiply 7.021 x 2.3", "session_id": 3071, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "Then you don't deal with all the decimal places", "session_id": 3071, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "I mean converting to 0.0023 and so on.", "session_id": 3071, "sequence_id": 47, "annotations": []}
{"role": "student", "content": "ohh oki", "session_id": 3071, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "Also you can get a quick estimate in your head - \n7 x 2.3 x 100 is about 16x100", "session_id": 3071, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "But most of these problems involve addition or subtraction so need expansion.", "session_id": 3071, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "Or a calculator \ud83d\ude09", "session_id": 3071, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "yea", "session_id": 3071, "sequence_id": 52, "annotations": []}
{"role": "student", "content": "I got 16.1483 for this one", "session_id": 3071, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "Which is close to the estimate you can do in your head.", "session_id": 3071, "sequence_id": 54, "annotations": []}
{"role": "student", "content": "1,614.83?", "session_id": 3071, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "Yes.", "session_id": 3071, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "Are you supposed to give the answers in scientific notation?", "session_id": 3071, "sequence_id": 57, "annotations": []}
{"role": "student", "content": "it don't tell me how", "session_id": 3071, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "Well, scientific notation has to have just one digit before the decimal place.", "session_id": 3071, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "1614.83 would be 1.61483x10\u00b3", "session_id": 3071, "sequence_id": 60, "annotations": []}
{"role": "student", "content": "oki", "session_id": 3071, "sequence_id": 61, "annotations": []}
{"role": "student", "content": "don't say I need to though;)", "session_id": 3071, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "OK.", "session_id": 3071, "sequence_id": 63, "annotations": []}
{"role": "student", "content": "negative plus negative is positive right?", "session_id": 3071, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "No, negative TIMES negative is positive.", "session_id": 3071, "sequence_id": 65, "annotations": []}
{"role": "student", "content": "ohh oki", "session_id": 3071, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "But you can't add the exponents here because it's an addition problem.", "session_id": 3071, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "What is the exponent for 3.61 x 10..", "session_id": 3071, "sequence_id": 68, "annotations": []}
{"role": "student", "content": "oki am allowed to use................. DESMOS SCIENTIFIC", "session_id": 3071, "sequence_id": 69, "annotations": []}
{"role": "student", "content": "I am try to follow along but am getting very frustrated", "session_id": 3071, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "I just can't read that exponent for 3.61. Is it -1 ?", "session_id": 3071, "sequence_id": 71, "annotations": []}
{"role": "student", "content": "yea", "session_id": 3071, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "Also you misread the 0 as a 6.", "session_id": 3071, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "You can type into desmos,\n3.9 x 10^-2 + 3.61 x 10^-1", "session_id": 3071, "sequence_id": 74, "annotations": []}
{"role": "student", "content": "I did", "session_id": 3071, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "Did you get that answer?", "session_id": 3071, "sequence_id": 76, "annotations": []}
{"role": "student", "content": "0.4", "session_id": 3071, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "OK, so that's good!", "session_id": 3071, "sequence_id": 78, "annotations": []}
{"role": "student", "content": "can we use mic?", "session_id": 3071, "sequence_id": 79, "annotations": []}
{"role": "student", "content": "I am getting tired of typing", "session_id": 3071, "sequence_id": 80, "annotations": []}
{"role": "volunteer", "content": "I'm listening", "session_id": 3071, "sequence_id": 81, "annotations": []}
{"role": "student", "content": "Can you hear me", "session_id": 3071, "sequence_id": 82, "annotations": []}
{"role": "volunteer", "content": "Yes", "session_id": 3071, "sequence_id": 83, "annotations": []}
{"role": "student", "content": "OK", "session_id": 3071, "sequence_id": 84, "annotations": []}
{"role": "student", "content": "So, can I", "session_id": 3071, "sequence_id": 85, "annotations": []}
{"role": "student", "content": "does it matter if I put the parenthesis.", "session_id": 3071, "sequence_id": 86, "annotations": []}
{"role": "volunteer", "content": "No, it doesn't matter because", "session_id": 3071, "sequence_id": 87, "annotations": []}
{"role": "volunteer", "content": "multiplication comes before addition, so they group it.", "session_id": 3071, "sequence_id": 88, "annotations": []}
{"role": "volunteer", "content": "It will automatically group them like that.", "session_id": 3071, "sequence_id": 89, "annotations": []}
{"role": "volunteer", "content": "just like ME", "session_id": 3071, "sequence_id": 90, "annotations": []}
{"role": "student", "content": "OK", "session_id": 3071, "sequence_id": 91, "annotations": []}
{"role": "student", "content": "So I can do", "session_id": 3071, "sequence_id": 92, "annotations": []}
{"role": "student", "content": "5.95.", "session_id": 3071, "sequence_id": 93, "annotations": []}
{"role": "student", "content": "times", "session_id": 3071, "sequence_id": 94, "annotations": []}
{"role": "student", "content": "10", "session_id": 3071, "sequence_id": 95, "annotations": []}
{"role": "student", "content": "to the negative.", "session_id": 3071, "sequence_id": 96, "annotations": []}
{"role": "student", "content": "2", "session_id": 3071, "sequence_id": 97, "annotations": []}
{"role": "student", "content": "6", "session_id": 3071, "sequence_id": 98, "annotations": []}
{"role": "student", "content": "minus", "session_id": 3071, "sequence_id": 99, "annotations": []}
{"role": "student", "content": "2.63.", "session_id": 3071, "sequence_id": 100, "annotations": []}
{"role": "student", "content": "time", "session_id": 3071, "sequence_id": 101, "annotations": []}
{"role": "student", "content": "1", "session_id": 3071, "sequence_id": 102, "annotations": []}
{"role": "student", "content": "10", "session_id": 3071, "sequence_id": 103, "annotations": []}
{"role": "student", "content": "to", "session_id": 3071, "sequence_id": 104, "annotations": []}
{"role": "student", "content": "to the -4.", "session_id": 3071, "sequence_id": 105, "annotations": []}
{"role": "volunteer", "content": "OK, so you can see that", "session_id": 3071, "sequence_id": 106, "annotations": []}
{"role": "volunteer", "content": "you're subtracting", "session_id": 3071, "sequence_id": 107, "annotations": []}
{"role": "volunteer", "content": "a number that's only you're subtracting a -6 number, a million, right?", "session_id": 3071, "sequence_id": 108, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 3071, "sequence_id": 109, "annotations": []}
{"role": "volunteer", "content": "minus 6 is 1 million", "session_id": 3071, "sequence_id": 110, "annotations": []}
{"role": "volunteer", "content": "So you're subtracting 5 million from 2:10,000. So it's gonna be like almost", "session_id": 3071, "sequence_id": 111, "annotations": []}
{"role": "volunteer", "content": "only subtracting a small amount from the 2.63. So that is so that you can check your answer, make sure it makes sense. Your answer is 2.57 times 10-4, which is not much different than 2.63 times 104.", "session_id": 3071, "sequence_id": 112, "annotations": []}
{"role": "volunteer", "content": "So your answer makes sense.", "session_id": 3071, "sequence_id": 113, "annotations": []}
{"role": "student", "content": "So what shows on those matters make sense?", "session_id": 3071, "sequence_id": 114, "annotations": []}
{"role": "volunteer", "content": "Yeah, because if you wrote it in decimals, it would be", "session_id": 3071, "sequence_id": 115, "annotations": []}
{"role": "volunteer", "content": "in", "session_id": 3071, "sequence_id": 116, "annotations": []}
{"role": "student", "content": "It would be negative", "session_id": 3071, "sequence_id": 117, "annotations": []}
{"role": "student", "content": "It says Mia.", "session_id": 3071, "sequence_id": 118, "annotations": [{"pii_type": "PERSON", "surrogate": "Mia", "start": 8, "end": 11}]}
{"role": "student", "content": "Is that right", "session_id": 3071, "sequence_id": 119, "annotations": []}
{"role": "volunteer", "content": "2.57, right.", "session_id": 3071, "sequence_id": 120, "annotations": []}
{"role": "student", "content": "But negative though", "session_id": 3071, "sequence_id": 121, "annotations": []}
{"role": "volunteer", "content": "Yeah, because", "session_id": 3071, "sequence_id": 122, "annotations": []}
{"role": "volunteer", "content": "you subtracted a", "session_id": 3071, "sequence_id": 123, "annotations": []}
{"role": "volunteer", "content": "much larger negative number from a very small positive number.", "session_id": 3071, "sequence_id": 124, "annotations": []}
{"role": "student", "content": "Uh", "session_id": 3071, "sequence_id": 125, "annotations": []}
{"role": "student", "content": "OK", "session_id": 3071, "sequence_id": 126, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 3071, "sequence_id": 127, "annotations": []}
{"role": "student", "content": "7.8.", "session_id": 3071, "sequence_id": 128, "annotations": []}
{"role": "student", "content": "time", "session_id": 3071, "sequence_id": 129, "annotations": []}
{"role": "student", "content": "10.", "session_id": 3071, "sequence_id": 130, "annotations": []}
{"role": "student", "content": "shift", "session_id": 3071, "sequence_id": 131, "annotations": []}
{"role": "student", "content": "divided by", "session_id": 3071, "sequence_id": 132, "annotations": []}
{"role": "student", "content": "1.", "session_id": 3071, "sequence_id": 133, "annotations": []}
{"role": "student", "content": "6", "session_id": 3071, "sequence_id": 134, "annotations": []}
{"role": "student", "content": "times 10.", "session_id": 3071, "sequence_id": 135, "annotations": []}
{"role": "student", "content": "to", "session_id": 3071, "sequence_id": 136, "annotations": []}
{"role": "student", "content": "negative", "session_id": 3071, "sequence_id": 137, "annotations": []}
{"role": "student", "content": "3", "session_id": 3071, "sequence_id": 138, "annotations": []}
{"role": "student", "content": "I got", "session_id": 3071, "sequence_id": 139, "annotations": []}
{"role": "student", "content": "0750.", "session_id": 3071, "sequence_id": 140, "annotations": []}
{"role": "student", "content": "for this one", "session_id": 3071, "sequence_id": 141, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 3071, "sequence_id": 142, "annotations": []}
{"role": "volunteer", "content": "Well", "session_id": 3071, "sequence_id": 143, "annotations": []}
{"role": "volunteer", "content": "the problem with using a calculator all the time is", "session_id": 3071, "sequence_id": 144, "annotations": []}
{"role": "volunteer", "content": "you have to make sure you understand what you're doing before you just rely only on the calculator", "session_id": 3071, "sequence_id": 145, "annotations": []}
{"role": "volunteer", "content": "So", "session_id": 3071, "sequence_id": 146, "annotations": []}
{"role": "volunteer", "content": "in that one", "session_id": 3071, "sequence_id": 147, "annotations": []}
{"role": "volunteer", "content": "if you did it", "session_id": 3071, "sequence_id": 148, "annotations": []}
{"role": "volunteer", "content": "it's, it's, if you did it, the hand we were partly by hand, it's 7.8 divided by 1.6, right?", "session_id": 3071, "sequence_id": 149, "annotations": []}
{"role": "student", "content": "All right", "session_id": 3071, "sequence_id": 150, "annotations": []}
{"role": "volunteer", "content": "Those two, they're called the coefficient parts, the 7.8 and the 1.6.", "session_id": 3071, "sequence_id": 151, "annotations": []}
{"role": "volunteer", "content": "and then", "session_id": 3071, "sequence_id": 152, "annotations": []}
{"role": "volunteer", "content": "you multiply that by 10 to the 1st.", "session_id": 3071, "sequence_id": 153, "annotations": []}
{"role": "volunteer", "content": "times 10 to the", "session_id": 3071, "sequence_id": 154, "annotations": []}
{"role": "volunteer", "content": "3rd because when you divide", "session_id": 3071, "sequence_id": 155, "annotations": []}
{"role": "volunteer", "content": "when you, when you divide the exponents", "session_id": 3071, "sequence_id": 156, "annotations": []}
{"role": "volunteer", "content": "OK, so 10 to the", "session_id": 3071, "sequence_id": 157, "annotations": []}
{"role": "volunteer", "content": "divided by 10 to the minus 3 is the same as multiplying 10^3.", "session_id": 3071, "sequence_id": 158, "annotations": []}
{"role": "volunteer", "content": "right", "session_id": 3071, "sequence_id": 159, "annotations": []}
{"role": "volunteer", "content": "So", "session_id": 3071, "sequence_id": 160, "annotations": []}
{"role": "volunteer", "content": "when you divide", "session_id": 3071, "sequence_id": 161, "annotations": []}
{"role": "volunteer", "content": "you have to subtract that exponent of not added.", "session_id": 3071, "sequence_id": 162, "annotations": []}
{"role": "volunteer", "content": "Does anything make sense?", "session_id": 3071, "sequence_id": 163, "annotations": []}
{"role": "student", "content": "What do you mean that I have just", "session_id": 3071, "sequence_id": 164, "annotations": []}
{"role": "volunteer", "content": "Why don't you shift over to the", "session_id": 3071, "sequence_id": 165, "annotations": []}
{"role": "volunteer", "content": "are you, can you see the board?", "session_id": 3071, "sequence_id": 166, "annotations": []}
{"role": "student", "content": "just", "session_id": 3071, "sequence_id": 167, "annotations": []}
{"role": "student", "content": "uh", "session_id": 3071, "sequence_id": 168, "annotations": []}
{"role": "volunteer", "content": "or are you on your other window.", "session_id": 3071, "sequence_id": 169, "annotations": []}
{"role": "student", "content": "I can see them more", "session_id": 3071, "sequence_id": 170, "annotations": []}
{"role": "volunteer", "content": "OK. So", "session_id": 3071, "sequence_id": 171, "annotations": []}
{"role": "volunteer", "content": "the problem is probably like the 7.8 times 10 divided by", "session_id": 3071, "sequence_id": 172, "annotations": []}
{"role": "volunteer", "content": "1.6.", "session_id": 3071, "sequence_id": 173, "annotations": []}
{"role": "volunteer", "content": "times 10-3.", "session_id": 3071, "sequence_id": 174, "annotations": []}
{"role": "volunteer", "content": "Ah", "session_id": 3071, "sequence_id": 175, "annotations": []}
{"role": "volunteer", "content": "OK, that's the problem", "session_id": 3071, "sequence_id": 176, "annotations": []}
{"role": "volunteer", "content": "So that is gonna be the same as 7.8 divided by 1.6.", "session_id": 3071, "sequence_id": 177, "annotations": []}
{"role": "volunteer", "content": "and then times", "session_id": 3071, "sequence_id": 178, "annotations": []}
{"role": "volunteer", "content": "10/1011.", "session_id": 3071, "sequence_id": 179, "annotations": []}
{"role": "volunteer", "content": "minus 3", "session_id": 3071, "sequence_id": 180, "annotations": []}
{"role": "volunteer", "content": "And when you have", "session_id": 3071, "sequence_id": 181, "annotations": []}
{"role": "volunteer", "content": "the same number, you can just", "session_id": 3071, "sequence_id": 182, "annotations": []}
{"role": "volunteer", "content": "add or subtract the exponents.", "session_id": 3071, "sequence_id": 183, "annotations": []}
{"role": "volunteer", "content": "So the exponents here 10", "session_id": 3071, "sequence_id": 184, "annotations": []}
{"role": "volunteer", "content": "divided by", "session_id": 3071, "sequence_id": 185, "annotations": []}
{"role": "volunteer", "content": "N to the minus 3 is the same as", "session_id": 3071, "sequence_id": 186, "annotations": []}
{"role": "volunteer", "content": "10", "session_id": 3071, "sequence_id": 187, "annotations": []}
{"role": "volunteer", "content": "to the", "session_id": 3071, "sequence_id": 188, "annotations": []}
{"role": "volunteer", "content": "1.", "session_id": 3071, "sequence_id": 189, "annotations": []}
{"role": "volunteer", "content": "minus because it's division, minus 3.", "session_id": 3071, "sequence_id": 190, "annotations": []}
{"role": "volunteer", "content": "So 1 minus -3 is 1 + 3 or 4.", "session_id": 3071, "sequence_id": 191, "annotations": []}
{"role": "volunteer", "content": "So the answer is gonna be", "session_id": 3071, "sequence_id": 192, "annotations": []}
{"role": "volunteer", "content": "I guess what's uh", "session_id": 3071, "sequence_id": 193, "annotations": []}
{"role": "volunteer", "content": "it must be 4.87.", "session_id": 3071, "sequence_id": 194, "annotations": []}
{"role": "volunteer", "content": "5", "session_id": 3071, "sequence_id": 195, "annotations": []}
{"role": "volunteer", "content": "times in", "session_id": 3071, "sequence_id": 196, "annotations": []}
{"role": "volunteer", "content": "to the", "session_id": 3071, "sequence_id": 197, "annotations": []}
{"role": "volunteer", "content": "4th", "session_id": 3071, "sequence_id": 198, "annotations": []}
{"role": "volunteer", "content": "So it's the same answer, but", "session_id": 3071, "sequence_id": 199, "annotations": []}
{"role": "volunteer", "content": "but you", "session_id": 3071, "sequence_id": 200, "annotations": []}
{"role": "volunteer", "content": "have to understand how to do it", "session_id": 3071, "sequence_id": 201, "annotations": []}
{"role": "volunteer", "content": "not always just using a calculator. I mean, you can't, you, you don't need to divide 7.6 by 1.6 by long division, but you should understand the idea of adding and subtracting the exponents.", "session_id": 3071, "sequence_id": 202, "annotations": []}
{"role": "volunteer", "content": "You've learned those ideas of exponents that like,", "session_id": 3071, "sequence_id": 203, "annotations": []}
{"role": "volunteer", "content": "10 square", "session_id": 3071, "sequence_id": 204, "annotations": []}
{"role": "volunteer", "content": "times 103 is equal 105.", "session_id": 3071, "sequence_id": 205, "annotations": []}
{"role": "student", "content": "I haven't gone to the world of exponents too much.", "session_id": 3071, "sequence_id": 206, "annotations": []}
{"role": "volunteer", "content": "OK, so maybe that's", "session_id": 3071, "sequence_id": 207, "annotations": []}
{"role": "volunteer", "content": "but um I'll show you 10.", "session_id": 3071, "sequence_id": 208, "annotations": []}
{"role": "volunteer", "content": "When you're multiplying numbers.", "session_id": 3071, "sequence_id": 209, "annotations": []}
{"role": "volunteer", "content": "the same number with exponents, you can just add the exponents.", "session_id": 3071, "sequence_id": 210, "annotations": []}
{"role": "volunteer", "content": "because if you think about it", "session_id": 3071, "sequence_id": 211, "annotations": []}
{"role": "volunteer", "content": "like", "session_id": 3071, "sequence_id": 212, "annotations": []}
{"role": "volunteer", "content": "10 to 5 is just 5/10 multiplied together, right?", "session_id": 3071, "sequence_id": 213, "annotations": []}
{"role": "student", "content": "Right", "session_id": 3071, "sequence_id": 214, "annotations": []}
{"role": "volunteer", "content": "And if you then multiply 5 or 10, 3 more times.", "session_id": 3071, "sequence_id": 215, "annotations": []}
{"role": "volunteer", "content": "That's just the same as 10 times that's 5 10s and 3 more 10s all multiplied together, so it's 80s.", "session_id": 3071, "sequence_id": 216, "annotations": []}
{"role": "volunteer", "content": "But if you haven't done that before.", "session_id": 3071, "sequence_id": 217, "annotations": []}
{"role": "volunteer", "content": "then you can just, I guess, wait on that and come to it later.", "session_id": 3071, "sequence_id": 218, "annotations": []}
{"role": "volunteer", "content": "But that's helpful when you do scientific notation. You should know how to just add and subtract the exponents.", "session_id": 3071, "sequence_id": 219, "annotations": []}
{"role": "student", "content": "OK", "session_id": 3071, "sequence_id": 220, "annotations": []}
{"role": "student", "content": "Also, another quick question.", "session_id": 3071, "sequence_id": 221, "annotations": []}
{"role": "student", "content": "What the what the exponent goes into it.", "session_id": 3071, "sequence_id": 222, "annotations": []}
{"role": "student", "content": "like over 9.", "session_id": 3071, "sequence_id": 223, "annotations": []}
{"role": "student", "content": "like into the teens and the twenties.", "session_id": 3071, "sequence_id": 224, "annotations": []}
{"role": "volunteer", "content": "It can be anything", "session_id": 3071, "sequence_id": 225, "annotations": []}
{"role": "volunteer", "content": "It can be anything. It can be 10 to 10 million.", "session_id": 3071, "sequence_id": 226, "annotations": []}
{"role": "volunteer", "content": "That's a very large number.", "session_id": 3071, "sequence_id": 227, "annotations": []}
{"role": "volunteer", "content": "You just write it out. You write 10 to the 21st.", "session_id": 3071, "sequence_id": 228, "annotations": []}
{"role": "volunteer", "content": "10\u00b2\u00b9", "session_id": 3071, "sequence_id": 229, "annotations": []}
{"role": "volunteer", "content": "Like the number of", "session_id": 3071, "sequence_id": 230, "annotations": []}
{"role": "volunteer", "content": "the number of molecules in a certain amount of a substance is um something times 10 to 23rd.", "session_id": 3071, "sequence_id": 231, "annotations": []}
{"role": "student", "content": "Mm OK", "session_id": 3071, "sequence_id": 232, "annotations": []}
{"role": "student", "content": "So", "session_id": 3071, "sequence_id": 233, "annotations": []}
{"role": "student", "content": "for this next one", "session_id": 3071, "sequence_id": 234, "annotations": []}
{"role": "student", "content": "2.", "session_id": 3071, "sequence_id": 235, "annotations": []}
{"role": "student", "content": "031", "session_id": 3071, "sequence_id": 236, "annotations": []}
{"role": "student", "content": "It's also the vision.", "session_id": 3071, "sequence_id": 237, "annotations": []}
{"role": "student", "content": "but it's a negative 3.", "session_id": 3071, "sequence_id": 238, "annotations": []}
{"role": "student", "content": "It's tend to nega3.", "session_id": 3071, "sequence_id": 239, "annotations": []}
{"role": "volunteer", "content": "Well, I can't see the problem.", "session_id": 3071, "sequence_id": 240, "annotations": []}
{"role": "student", "content": "Mm", "session_id": 3071, "sequence_id": 241, "annotations": []}
{"role": "student", "content": "mm", "session_id": 3071, "sequence_id": 242, "annotations": []}
{"role": "student", "content": "2", "session_id": 3071, "sequence_id": 243, "annotations": []}
{"role": "student", "content": "point.", "session_id": 3071, "sequence_id": 244, "annotations": []}
{"role": "student", "content": "03", "session_id": 3071, "sequence_id": 245, "annotations": []}
{"role": "volunteer", "content": "And you could type out the problem, or you're typing it out.", "session_id": 3071, "sequence_id": 246, "annotations": []}
{"role": "volunteer", "content": "2.031 times.", "session_id": 3071, "sequence_id": 247, "annotations": []}
{"role": "student", "content": "10", "session_id": 3071, "sequence_id": 248, "annotations": []}
{"role": "volunteer", "content": "and then -3", "session_id": 3071, "sequence_id": 249, "annotations": []}
{"role": "student", "content": "involves the vision again.", "session_id": 3071, "sequence_id": 250, "annotations": []}
{"role": "student", "content": "3.", "session_id": 3071, "sequence_id": 251, "annotations": []}
{"role": "student", "content": "times", "session_id": 3071, "sequence_id": 252, "annotations": []}
{"role": "student", "content": "10", "session_id": 3071, "sequence_id": 253, "annotations": []}
{"role": "student", "content": "2", "session_id": 3071, "sequence_id": 254, "annotations": []}
{"role": "student", "content": "3", "session_id": 3071, "sequence_id": 255, "annotations": []}
{"role": "student", "content": "and I got that", "session_id": 3071, "sequence_id": 256, "annotations": []}
{"role": "student", "content": "DCY I highlighted?", "session_id": 3071, "sequence_id": 257, "annotations": []}
{"role": "volunteer", "content": "right", "session_id": 3071, "sequence_id": 258, "annotations": []}
{"role": "volunteer", "content": "because it's going to be", "session_id": 3071, "sequence_id": 259, "annotations": []}
{"role": "volunteer", "content": "2 divided by 1.3.", "session_id": 3071, "sequence_id": 260, "annotations": []}
{"role": "volunteer", "content": "which will be", "session_id": 3071, "sequence_id": 261, "annotations": []}
{"role": "volunteer", "content": "1.5", "session_id": 3071, "sequence_id": 262, "annotations": []}
{"role": "volunteer", "content": "and then the exponents are going to be -3", "session_id": 3071, "sequence_id": 263, "annotations": []}
{"role": "volunteer", "content": "and then you're dividing 10^3, so you're subtracting another 3.", "session_id": 3071, "sequence_id": 264, "annotations": []}
{"role": "volunteer", "content": "so that's minus 6.", "session_id": 3071, "sequence_id": 265, "annotations": []}
{"role": "volunteer", "content": "So that's how they got that 1.56 times 10-6.", "session_id": 3071, "sequence_id": 266, "annotations": []}
{"role": "student", "content": "Mm OK", "session_id": 3071, "sequence_id": 267, "annotations": []}
{"role": "student", "content": "So", "session_id": 3071, "sequence_id": 268, "annotations": []}
{"role": "student", "content": "So", "session_id": 3071, "sequence_id": 269, "annotations": []}
{"role": "student", "content": "The last one has multiplication.", "session_id": 3071, "sequence_id": 270, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 3071, "sequence_id": 271, "annotations": []}
{"role": "student", "content": "9999.", "session_id": 3071, "sequence_id": 272, "annotations": []}
{"role": "student", "content": "Oh", "session_id": 3071, "sequence_id": 273, "annotations": []}
{"role": "student", "content": "times", "session_id": 3071, "sequence_id": 274, "annotations": []}
{"role": "student", "content": "10", "session_id": 3071, "sequence_id": 275, "annotations": []}
{"role": "student", "content": "uh", "session_id": 3071, "sequence_id": 276, "annotations": []}
{"role": "student", "content": "mm", "session_id": 3071, "sequence_id": 277, "annotations": []}
{"role": "student", "content": "4.", "session_id": 3071, "sequence_id": 278, "annotations": []}
{"role": "student", "content": "4", "session_id": 3071, "sequence_id": 279, "annotations": []}
{"role": "student", "content": "times", "session_id": 3071, "sequence_id": 280, "annotations": []}
{"role": "student", "content": "2 point", "session_id": 3071, "sequence_id": 281, "annotations": []}
{"role": "student", "content": "s", "session_id": 3071, "sequence_id": 282, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 3071, "sequence_id": 283, "annotations": []}
{"role": "student", "content": "0.02", "session_id": 3071, "sequence_id": 284, "annotations": []}
{"role": "student", "content": "59974.", "session_id": 3071, "sequence_id": 285, "annotations": []}
{"role": "volunteer", "content": "OK, is, so the last 10 is just 10?", "session_id": 3071, "sequence_id": 286, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 3071, "sequence_id": 287, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 3071, "sequence_id": 288, "annotations": []}
{"role": "volunteer", "content": "So right, 9, basically it's going to be 10", "session_id": 3071, "sequence_id": 289, "annotations": []}
{"role": "volunteer", "content": "10 times 2.6", "session_id": 3071, "sequence_id": 290, "annotations": []}
{"role": "volunteer", "content": "I mean", "session_id": 3071, "sequence_id": 291, "annotations": []}
{"role": "volunteer", "content": "just", "session_id": 3071, "sequence_id": 292, "annotations": []}
{"role": "volunteer", "content": "the, the 9.99", "session_id": 3071, "sequence_id": 293, "annotations": []}
{"role": "volunteer", "content": "is basically 10, right?", "session_id": 3071, "sequence_id": 294, "annotations": []}
{"role": "student", "content": "Right", "session_id": 3071, "sequence_id": 295, "annotations": []}
{"role": "volunteer", "content": "Just to make sure we're getting it right. So that's", "session_id": 3071, "sequence_id": 296, "annotations": []}
{"role": "volunteer", "content": "that's", "session_id": 3071, "sequence_id": 297, "annotations": []}
{"role": "volunteer", "content": "a plus one.", "session_id": 3071, "sequence_id": 298, "annotations": []}
{"role": "volunteer", "content": "10 to 1 times 104 times 10.", "session_id": 3071, "sequence_id": 299, "annotations": []}
{"role": "volunteer", "content": "So you have 2", "session_id": 3071, "sequence_id": 300, "annotations": []}
{"role": "volunteer", "content": "1 10s and and then minus 4.", "session_id": 3071, "sequence_id": 301, "annotations": []}
{"role": "volunteer", "content": "that's going to be -2.", "session_id": 3071, "sequence_id": 302, "annotations": []}
{"role": "volunteer", "content": "2.6 times 10-2.", "session_id": 3071, "sequence_id": 303, "annotations": []}
{"role": "volunteer", "content": "And that's what you have 2.59974 times 10-2. That's the answer they gave you.", "session_id": 3071, "sequence_id": 304, "annotations": []}
{"role": "student", "content": "All right", "session_id": 3071, "sequence_id": 305, "annotations": []}
{"role": "volunteer", "content": "So, if you had to do it in scientific notation, that's what you would say 2.59974.", "session_id": 3071, "sequence_id": 306, "annotations": []}
{"role": "volunteer", "content": "times 10 minus 2.", "session_id": 3071, "sequence_id": 307, "annotations": []}
{"role": "student", "content": "Uh", "session_id": 3071, "sequence_id": 308, "annotations": []}
{"role": "student", "content": "but now", "session_id": 3071, "sequence_id": 309, "annotations": []}
{"role": "student", "content": "the two problems that are gonna be love it.", "session_id": 3071, "sequence_id": 310, "annotations": []}
{"role": "student", "content": "because", "session_id": 3071, "sequence_id": 311, "annotations": []}
{"role": "student", "content": "cause these two problems you do them in scientific notation as well.", "session_id": 3071, "sequence_id": 312, "annotations": []}
{"role": "student", "content": "I mean, not", "session_id": 3071, "sequence_id": 313, "annotations": []}
{"role": "student", "content": "there's more problems that I need to deal with scientific notation in them, but the actual scientific notation equation.", "session_id": 3071, "sequence_id": 314, "annotations": []}
{"role": "volunteer", "content": "Well, I can't see you, I can't see the problems.", "session_id": 3071, "sequence_id": 315, "annotations": []}
{"role": "student", "content": "Hold on, I", "session_id": 3071, "sequence_id": 316, "annotations": []}
{"role": "volunteer", "content": "and your screen sharing.", "session_id": 3071, "sequence_id": 317, "annotations": []}
{"role": "volunteer", "content": "but", "session_id": 3071, "sequence_id": 318, "annotations": []}
{"role": "student", "content": "97.", "session_id": 3071, "sequence_id": 319, "annotations": []}
{"role": "student", "content": "I", "session_id": 3071, "sequence_id": 320, "annotations": []}
{"role": "student", "content": "10", "session_id": 3071, "sequence_id": 321, "annotations": []}
{"role": "student", "content": "2", "session_id": 3071, "sequence_id": 322, "annotations": []}
{"role": "student", "content": "2.", "session_id": 3071, "sequence_id": 323, "annotations": []}
{"role": "student", "content": "4", "session_id": 3071, "sequence_id": 324, "annotations": []}
{"role": "student", "content": "So", "session_id": 3071, "sequence_id": 325, "annotations": []}
{"role": "student", "content": "this is", "session_id": 3071, "sequence_id": 326, "annotations": []}
{"role": "student", "content": "I'll read the problem to you. The mass of the earth is 5.97 times 10 to 24 kg.", "session_id": 3071, "sequence_id": 327, "annotations": []}
{"role": "student", "content": "and the mass of the moon is 7.34 times 10 to the 22nd power. How much larger is the mass of Earth.", "session_id": 3071, "sequence_id": 328, "annotations": []}
{"role": "student", "content": "Its subtraction, right?", "session_id": 3071, "sequence_id": 329, "annotations": []}
{"role": "volunteer", "content": "No, no. When it's, when it, how much, well,", "session_id": 3071, "sequence_id": 330, "annotations": []}
{"role": "volunteer", "content": "that's a good question", "session_id": 3071, "sequence_id": 331, "annotations": []}
{"role": "volunteer", "content": "It could be subtraction.", "session_id": 3071, "sequence_id": 332, "annotations": []}
{"role": "volunteer", "content": "It could also be", "session_id": 3071, "sequence_id": 333, "annotations": []}
{"role": "volunteer", "content": "division. Does it say, it says how much larger, so it depends on whether the answer is supposed to be the earth is this many times the mass of the moon, or is this many more kilograms than the moon.", "session_id": 3071, "sequence_id": 334, "annotations": []}
{"role": "student", "content": "It is", "session_id": 3071, "sequence_id": 335, "annotations": []}
{"role": "student", "content": "uh", "session_id": 3071, "sequence_id": 336, "annotations": []}
{"role": "student", "content": "Earth is blank", "session_id": 3071, "sequence_id": 337, "annotations": []}
{"role": "student", "content": "kilograms larger than the moon.", "session_id": 3071, "sequence_id": 338, "annotations": []}
{"role": "volunteer", "content": "OK, OK, then that's subtraction.", "session_id": 3071, "sequence_id": 339, "annotations": []}
{"role": "student", "content": "OK", "session_id": 3071, "sequence_id": 340, "annotations": []}
{"role": "student", "content": "I just wanted to make sure before I put", "session_id": 3071, "sequence_id": 341, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 3071, "sequence_id": 342, "annotations": []}
{"role": "student", "content": "uh", "session_id": 3071, "sequence_id": 343, "annotations": []}
{"role": "student", "content": "to", "session_id": 3071, "sequence_id": 344, "annotations": []}
{"role": "student", "content": "one second", "session_id": 3071, "sequence_id": 345, "annotations": []}
{"role": "student", "content": "OK, so that's my equation.", "session_id": 3071, "sequence_id": 346, "annotations": []}
{"role": "volunteer", "content": "Right", "session_id": 3071, "sequence_id": 347, "annotations": []}
{"role": "volunteer", "content": "So", "session_id": 3071, "sequence_id": 348, "annotations": []}
{"role": "student", "content": "But what about my answer?", "session_id": 3071, "sequence_id": 349, "annotations": []}
{"role": "volunteer", "content": "the mass of the moon is barely more than 1% of the mass of the Earth", "session_id": 3071, "sequence_id": 350, "annotations": []}
{"role": "volunteer", "content": "because the, the exponents there are 24 and 22.", "session_id": 3071, "sequence_id": 351, "annotations": []}
{"role": "volunteer", "content": "which means the difference is 2, so that's 10, that's a 100.", "session_id": 3071, "sequence_id": 352, "annotations": []}
{"role": "volunteer", "content": "one hundredth of", "session_id": 3071, "sequence_id": 353, "annotations": []}
{"role": "volunteer", "content": "the mass of the earth, it hardly changes it. It's from 5.97 to 5.89.", "session_id": 3071, "sequence_id": 354, "annotations": []}
{"role": "volunteer", "content": "times 10 24th", "session_id": 3071, "sequence_id": 355, "annotations": []}
{"role": "volunteer", "content": "that should be the right answer.", "session_id": 3071, "sequence_id": 356, "annotations": []}
{"role": "student", "content": "I", "session_id": 3071, "sequence_id": 357, "annotations": []}
{"role": "student", "content": "but uh in the, the normal number now of how much larger it is.", "session_id": 3071, "sequence_id": 358, "annotations": []}
{"role": "volunteer", "content": "The normal number was?", "session_id": 3071, "sequence_id": 359, "annotations": []}
{"role": "volunteer", "content": "Yeah.", "session_id": 3071, "sequence_id": 360, "annotations": []}
{"role": "student", "content": "of how much large, how many kilograms larger it is.", "session_id": 3071, "sequence_id": 361, "annotations": []}
{"role": "volunteer", "content": "That's the answer. That's how many kilograms larger it is.", "session_id": 3071, "sequence_id": 362, "annotations": []}
{"role": "student", "content": "They want me to write the equation first, then write the actual", "session_id": 3071, "sequence_id": 363, "annotations": []}
{"role": "student", "content": "number", "session_id": 3071, "sequence_id": 364, "annotations": []}
{"role": "volunteer", "content": "OK, well then you just write what you wrote. You wrote exactly what you put in the calculator is the equation.", "session_id": 3071, "sequence_id": 365, "annotations": []}
{"role": "student", "content": "So basically,", "session_id": 3071, "sequence_id": 366, "annotations": []}
{"role": "volunteer", "content": "Difference", "session_id": 3071, "sequence_id": 367, "annotations": []}
{"role": "volunteer", "content": "is", "session_id": 3071, "sequence_id": 368, "annotations": []}
{"role": "student", "content": "OK. So now, this one's a little bit easier.", "session_id": 3071, "sequence_id": 369, "annotations": []}
{"role": "student", "content": "So, 5.125.", "session_id": 3071, "sequence_id": 370, "annotations": []}
{"role": "student", "content": "to the", "session_id": 3071, "sequence_id": 371, "annotations": []}
{"role": "student", "content": "not that, not bad.", "session_id": 3071, "sequence_id": 372, "annotations": []}
{"role": "student", "content": "10", "session_id": 3071, "sequence_id": 373, "annotations": []}
{"role": "student", "content": "to the 4th.", "session_id": 3071, "sequence_id": 374, "annotations": []}
{"role": "student", "content": "time.", "session_id": 3071, "sequence_id": 375, "annotations": []}
{"role": "student", "content": "This is, how many, this one, it says how many bonds does a factory produce in", "session_id": 3071, "sequence_id": 376, "annotations": []}
{"role": "student", "content": "one year or 3.65 times 10 to 2.", "session_id": 3071, "sequence_id": 377, "annotations": []}
{"role": "student", "content": "It's addition, right?", "session_id": 3071, "sequence_id": 378, "annotations": []}
{"role": "volunteer", "content": "What's the whole problem?", "session_id": 3071, "sequence_id": 379, "annotations": []}
{"role": "student", "content": "A factory", "session_id": 3071, "sequence_id": 380, "annotations": []}
{"role": "student", "content": "makes 5.125 times 4 times 104 bottles a day.", "session_id": 3071, "sequence_id": 381, "annotations": []}
{"role": "student", "content": "How many bottles does the factory produce in a year, or 3.65 times 102 days.", "session_id": 3071, "sequence_id": 382, "annotations": []}
{"role": "volunteer", "content": "Right. So if it makes that many", "session_id": 3071, "sequence_id": 383, "annotations": []}
{"role": "volunteer", "content": "whatever in one day.", "session_id": 3071, "sequence_id": 384, "annotations": []}
{"role": "student", "content": "Right, so", "session_id": 3071, "sequence_id": 385, "annotations": []}
{"role": "volunteer", "content": "then you need to multiply, right? 365.", "session_id": 3071, "sequence_id": 386, "annotations": []}
{"role": "student", "content": "OK", "session_id": 3071, "sequence_id": 387, "annotations": []}
{"role": "volunteer", "content": "And you could just multiply.", "session_id": 3071, "sequence_id": 388, "annotations": []}
{"role": "student", "content": "times", "session_id": 3071, "sequence_id": 389, "annotations": []}
{"role": "student", "content": "OK, that's my", "session_id": 3071, "sequence_id": 390, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 3071, "sequence_id": 391, "annotations": []}
{"role": "volunteer", "content": "So that's 1.87 times 107.", "session_id": 3071, "sequence_id": 392, "annotations": []}
{"role": "student", "content": "I guess so", "session_id": 3071, "sequence_id": 393, "annotations": []}
{"role": "student", "content": "Mm.", "session_id": 3071, "sequence_id": 394, "annotations": []}
{"role": "volunteer", "content": "or 18 million", "session_id": 3071, "sequence_id": 395, "annotations": []}
{"role": "student", "content": "0.87 9", "session_id": 3071, "sequence_id": 396, "annotations": []}
{"role": "volunteer", "content": "and so you can estimate it in your head. 5 times 3 is 15.", "session_id": 3071, "sequence_id": 397, "annotations": []}
{"role": "volunteer", "content": "and then 4 + 2 on the exponents is 6.", "session_id": 3071, "sequence_id": 398, "annotations": []}
{"role": "student", "content": "OK", "session_id": 3071, "sequence_id": 399, "annotations": []}
{"role": "volunteer", "content": "So your but your head would be 15 million", "session_id": 3071, "sequence_id": 400, "annotations": []}
{"role": "volunteer", "content": "and you'd say, well, it's more than that because it's 3.65. So let's call it 18 million. And then you, then you make sure that your", "session_id": 3071, "sequence_id": 401, "annotations": []}
{"role": "volunteer", "content": "you do it in your head because", "session_id": 3071, "sequence_id": 402, "annotations": []}
{"role": "volunteer", "content": "if you miss, if you put a wrong decimal point or something in the calculator.", "session_id": 3071, "sequence_id": 403, "annotations": []}
{"role": "volunteer", "content": "it won't tell you that you're wrong. So that's why it's good to get a sense of the size.", "session_id": 3071, "sequence_id": 404, "annotations": []}
{"role": "volunteer", "content": "as well as use the calculator.", "session_id": 3071, "sequence_id": 405, "annotations": []}
{"role": "student", "content": "OK", "session_id": 3071, "sequence_id": 406, "annotations": []}
{"role": "volunteer", "content": "And not that you just want to glance at it and get an idea of the size. You don't have a calculator all the time.", "session_id": 3071, "sequence_id": 407, "annotations": []}
{"role": "student", "content": "right", "session_id": 3071, "sequence_id": 408, "annotations": []}
{"role": "volunteer", "content": "So you can estimate times 102, you say, OK, that's gonna be a million", "session_id": 3071, "sequence_id": 409, "annotations": []}
{"role": "volunteer", "content": "and then 5 times 55 times 3 is 15, so we've got 15 million.", "session_id": 3071, "sequence_id": 410, "annotations": []}
{"role": "student", "content": "Uh", "session_id": 3071, "sequence_id": 411, "annotations": []}
{"role": "volunteer", "content": "OK, good", "session_id": 3071, "sequence_id": 412, "annotations": []}
{"role": "student", "content": "I", "session_id": 3071, "sequence_id": 413, "annotations": []}
{"role": "volunteer", "content": "That's the last one", "session_id": 3071, "sequence_id": 414, "annotations": []}
{"role": "student", "content": "I have a", "session_id": 3071, "sequence_id": 415, "annotations": []}
{"role": "volunteer", "content": "or there are more", "session_id": 3071, "sequence_id": 416, "annotations": []}
{"role": "student", "content": "there's some more problems that I have", "session_id": 3071, "sequence_id": 417, "annotations": []}
{"role": "volunteer", "content": "OK.", "session_id": 3071, "sequence_id": 418, "annotations": []}
{"role": "student", "content": "scientific notation", "session_id": 3071, "sequence_id": 419, "annotations": []}
{"role": "student", "content": "11 was", "session_id": 3071, "sequence_id": 420, "annotations": []}
{"role": "student", "content": "6 or like", "session_id": 3071, "sequence_id": 421, "annotations": []}
{"role": "student", "content": "the actually 12 are like the 1st 6.", "session_id": 3071, "sequence_id": 422, "annotations": []}
{"role": "student", "content": "1st 8 and then", "session_id": 3071, "sequence_id": 423, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 3071, "sequence_id": 424, "annotations": []}
{"role": "student", "content": "and", "session_id": 3071, "sequence_id": 425, "annotations": []}
{"role": "student", "content": "2 or like the word prop. I got two more word problems.", "session_id": 3071, "sequence_id": 426, "annotations": []}
{"role": "student", "content": "and 6 of them require me to write this scientific notation.", "session_id": 3071, "sequence_id": 427, "annotations": []}
{"role": "volunteer", "content": "OK. Do you think you'll have trouble on any of them?", "session_id": 3071, "sequence_id": 428, "annotations": []}
{"role": "student", "content": "The word problems on the figure out the equation.", "session_id": 3071, "sequence_id": 429, "annotations": []}
{"role": "student", "content": "I need help figure out the equation.", "session_id": 3071, "sequence_id": 430, "annotations": []}
{"role": "volunteer", "content": "OK. Well,", "session_id": 3071, "sequence_id": 431, "annotations": []}
{"role": "volunteer", "content": "why don't you do it, a screenshot of the word problems.", "session_id": 3071, "sequence_id": 432, "annotations": []}
{"role": "student", "content": "All right, give me a second.", "session_id": 3071, "sequence_id": 433, "annotations": []}
{"role": "student", "content": "OK, OK.", "session_id": 3071, "sequence_id": 434, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 3071, "sequence_id": 435, "annotations": []}
{"role": "volunteer", "content": "What's the plants?", "session_id": 3071, "sequence_id": 436, "annotations": []}
{"role": "student", "content": "Oh gosh, that's too blurry, isn't it? Yes, it's.", "session_id": 3071, "sequence_id": 437, "annotations": []}
{"role": "volunteer", "content": "This seems at all along. Yeah. OK.", "session_id": 3071, "sequence_id": 438, "annotations": []}
{"role": "volunteer", "content": "I", "session_id": 3071, "sequence_id": 439, "annotations": []}
{"role": "volunteer", "content": "And.", "session_id": 3071, "sequence_id": 440, "annotations": []}
{"role": "volunteer", "content": "What's happening?", "session_id": 3071, "sequence_id": 441, "annotations": []}
{"role": "volunteer", "content": "I finished working on mom's car, so.", "session_id": 3071, "sequence_id": 442, "annotations": []}
{"role": "student", "content": "I know.", "session_id": 3071, "sequence_id": 443, "annotations": []}
{"role": "student", "content": "Is it OK if it's too sipper screenshots.", "session_id": 3071, "sequence_id": 444, "annotations": []}
{"role": "volunteer", "content": "Sure", "session_id": 3071, "sequence_id": 445, "annotations": []}
{"role": "student", "content": "All right", "session_id": 3071, "sequence_id": 446, "annotations": []}
{"role": "student", "content": "after this, I'm gonna have to go.", "session_id": 3071, "sequence_id": 447, "annotations": []}
{"role": "volunteer", "content": "All right, so this is kind of like the moon question. It's a difference between subtraction.", "session_id": 3071, "sequence_id": 448, "annotations": []}
{"role": "student", "content": "Uh", "session_id": 3071, "sequence_id": 449, "annotations": []}
{"role": "student", "content": "so", "session_id": 3071, "sequence_id": 450, "annotations": []}
{"role": "student", "content": "3.", "session_id": 3071, "sequence_id": 451, "annotations": []}
{"role": "student", "content": "70", "session_id": 3071, "sequence_id": 452, "annotations": []}
{"role": "student", "content": "5", "session_id": 3071, "sequence_id": 453, "annotations": []}
{"role": "student", "content": "times", "session_id": 3071, "sequence_id": 454, "annotations": []}
{"role": "student", "content": "9", "session_id": 3071, "sequence_id": 455, "annotations": []}
{"role": "student", "content": "24", "session_id": 3071, "sequence_id": 456, "annotations": []}
{"role": "student", "content": "minus", "session_id": 3071, "sequence_id": 457, "annotations": []}
{"role": "student", "content": "1.98.", "session_id": 3071, "sequence_id": 458, "annotations": []}
{"role": "student", "content": "times 10.", "session_id": 3071, "sequence_id": 459, "annotations": []}
{"role": "student", "content": "2", "session_id": 3071, "sequence_id": 460, "annotations": []}
{"role": "student", "content": "to the 5th", "session_id": 3071, "sequence_id": 461, "annotations": []}
{"role": "student", "content": "I got negative", "session_id": 3071, "sequence_id": 462, "annotations": []}
{"role": "student", "content": "16,500.", "session_id": 3071, "sequence_id": 463, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 3071, "sequence_id": 464, "annotations": []}
{"role": "volunteer", "content": "So, if you, if the difference is negative, what does that mean about which numbers larger?", "session_id": 3071, "sequence_id": 465, "annotations": []}
{"role": "volunteer", "content": "If you subtracted", "session_id": 3071, "sequence_id": 466, "annotations": []}
{"role": "volunteer", "content": "if you subtracted one number from the other and you got a negative answer, then that means the second one must have been larger, right?", "session_id": 3071, "sequence_id": 467, "annotations": []}
{"role": "student", "content": "All right", "session_id": 3071, "sequence_id": 468, "annotations": []}
{"role": "volunteer", "content": "Like if you take 10 minus 20, that's going to be minus 10 because you subtracted a larger number from it, from 10.", "session_id": 3071, "sequence_id": 469, "annotations": []}
{"role": "volunteer", "content": "So that means that the first number.", "session_id": 3071, "sequence_id": 470, "annotations": []}
{"role": "volunteer", "content": "is you subtracted", "session_id": 3071, "sequence_id": 471, "annotations": []}
{"role": "volunteer", "content": "uh", "session_id": 3071, "sequence_id": 472, "annotations": []}
{"role": "volunteer", "content": "198,000", "session_id": 3071, "sequence_id": 473, "annotations": []}
{"role": "volunteer", "content": "one hundred ninety eight thousand,500.", "session_id": 3071, "sequence_id": 474, "annotations": []}
{"role": "volunteer", "content": "It just means that that the answer is", "session_id": 3071, "sequence_id": 475, "annotations": []}
{"role": "volunteer", "content": "160,500, but that", "session_id": 3071, "sequence_id": 476, "annotations": []}
{"role": "volunteer", "content": "the second production line is larger.", "session_id": 3071, "sequence_id": 477, "annotations": []}
{"role": "student", "content": "All right", "session_id": 3071, "sequence_id": 478, "annotations": []}
{"role": "volunteer", "content": "If you reverse those numbers, you would come out sixteen thousand,500.", "session_id": 3071, "sequence_id": 479, "annotations": []}
{"role": "student", "content": "OK", "session_id": 3071, "sequence_id": 480, "annotations": []}
{"role": "student", "content": "But now time for a last screening.", "session_id": 3071, "sequence_id": 481, "annotations": []}
{"role": "student", "content": "screenshot before I, before I have to go.", "session_id": 3071, "sequence_id": 482, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 3071, "sequence_id": 483, "annotations": []}
{"role": "student", "content": "But it'll only be for a little while.", "session_id": 3071, "sequence_id": 484, "annotations": []}
{"role": "student", "content": "because all I need go do is an outside chore.", "session_id": 3071, "sequence_id": 485, "annotations": []}
{"role": "student", "content": "before it gets dark.", "session_id": 3071, "sequence_id": 486, "annotations": []}
{"role": "volunteer", "content": "Well, I'll have to go anyways, but I'm sure you have.", "session_id": 3071, "sequence_id": 487, "annotations": []}
{"role": "volunteer", "content": "you'll be an easy one.", "session_id": 3071, "sequence_id": 488, "annotations": []}
{"role": "volunteer", "content": "I mean, you'll get somebody else to do it.", "session_id": 3071, "sequence_id": 489, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 3071, "sequence_id": 490, "annotations": []}
{"role": "student", "content": "right? So you're my favorite out of all of them.", "session_id": 3071, "sequence_id": 491, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 3071, "sequence_id": 492, "annotations": []}
{"role": "student", "content": "just like chasing now.", "session_id": 3071, "sequence_id": 493, "annotations": []}
{"role": "volunteer", "content": "So", "session_id": 3071, "sequence_id": 494, "annotations": []}
{"role": "volunteer", "content": "you have", "session_id": 3071, "sequence_id": 495, "annotations": []}
{"role": "volunteer", "content": "distance", "session_id": 3071, "sequence_id": 496, "annotations": []}
{"role": "volunteer", "content": "equals speed", "session_id": 3071, "sequence_id": 497, "annotations": []}
{"role": "volunteer", "content": "times time, right?", "session_id": 3071, "sequence_id": 498, "annotations": []}
{"role": "student", "content": "All right", "session_id": 3071, "sequence_id": 499, "annotations": []}
{"role": "volunteer", "content": "So the speed", "session_id": 3071, "sequence_id": 500, "annotations": []}
{"role": "volunteer", "content": "is uh", "session_id": 3071, "sequence_id": 501, "annotations": []}
{"role": "volunteer", "content": "per year. And the distance is that how many does what exponent is that 9.", "session_id": 3071, "sequence_id": 502, "annotations": []}
{"role": "student", "content": "Yes, 9", "session_id": 3071, "sequence_id": 503, "annotations": []}
{"role": "volunteer", "content": "798 times 10, 9.", "session_id": 3071, "sequence_id": 504, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 3071, "sequence_id": 505, "annotations": []}
{"role": "volunteer", "content": "OK, and the question is how many light years", "session_id": 3071, "sequence_id": 506, "annotations": []}
{"role": "volunteer", "content": "This is a mistake", "session_id": 3071, "sequence_id": 507, "annotations": []}
{"role": "volunteer", "content": "that you can't measure time in light years.", "session_id": 3071, "sequence_id": 508, "annotations": []}
{"role": "volunteer", "content": "You measure time and years and distance in light years.", "session_id": 3071, "sequence_id": 509, "annotations": []}
{"role": "volunteer", "content": "So The question is, we've got to solve for", "session_id": 3071, "sequence_id": 510, "annotations": []}
{"role": "volunteer", "content": "time.", "session_id": 3071, "sequence_id": 511, "annotations": []}
{"role": "volunteer", "content": "So that's gonna be", "session_id": 3071, "sequence_id": 512, "annotations": []}
{"role": "volunteer", "content": "we most speed down here.", "session_id": 3071, "sequence_id": 513, "annotations": []}
{"role": "volunteer", "content": "So time", "session_id": 3071, "sequence_id": 514, "annotations": []}
{"role": "volunteer", "content": "distance", "session_id": 3071, "sequence_id": 515, "annotations": []}
{"role": "volunteer", "content": "over speed equals time.", "session_id": 3071, "sequence_id": 516, "annotations": []}
{"role": "student", "content": "OK, so this is the moment.", "session_id": 3071, "sequence_id": 517, "annotations": []}
{"role": "volunteer", "content": "And they divide", "session_id": 3071, "sequence_id": 518, "annotations": []}
{"role": "volunteer", "content": "the distance 2.798 times 109 divided by", "session_id": 3071, "sequence_id": 519, "annotations": []}
{"role": "volunteer", "content": "5.88 times 1012.", "session_id": 3071, "sequence_id": 520, "annotations": []}
{"role": "student", "content": "OK", "session_id": 3071, "sequence_id": 521, "annotations": []}
{"role": "volunteer", "content": "I", "session_id": 3071, "sequence_id": 522, "annotations": []}
{"role": "volunteer", "content": "I", "session_id": 3071, "sequence_id": 523, "annotations": []}
{"role": "volunteer", "content": "I", "session_id": 3071, "sequence_id": 524, "annotations": []}
{"role": "volunteer", "content": "I", "session_id": 3071, "sequence_id": 525, "annotations": []}
{"role": "volunteer", "content": "I", "session_id": 3071, "sequence_id": 526, "annotations": []}
{"role": "student", "content": "And that's my answer.", "session_id": 3071, "sequence_id": 527, "annotations": []}
{"role": "volunteer", "content": "I", "session_id": 3071, "sequence_id": 528, "annotations": []}
{"role": "volunteer", "content": "I", "session_id": 3071, "sequence_id": 529, "annotations": []}
{"role": "volunteer", "content": "I", "session_id": 3071, "sequence_id": 530, "annotations": []}
{"role": "volunteer", "content": "I", "session_id": 3071, "sequence_id": 531, "annotations": []}
{"role": "volunteer", "content": "I", "session_id": 3071, "sequence_id": 532, "annotations": []}
{"role": "volunteer", "content": "I", "session_id": 3071, "sequence_id": 533, "annotations": []}
{"role": "volunteer", "content": "I", "session_id": 3071, "sequence_id": 534, "annotations": []}
{"role": "volunteer", "content": "I", "session_id": 3071, "sequence_id": 535, "annotations": []}
{"role": "volunteer", "content": "I", "session_id": 3071, "sequence_id": 536, "annotations": []}
{"role": "volunteer", "content": "I", "session_id": 3071, "sequence_id": 537, "annotations": []}
{"role": "volunteer", "content": "I", "session_id": 3071, "sequence_id": 538, "annotations": []}
{"role": "volunteer", "content": "I", "session_id": 3071, "sequence_id": 539, "annotations": []}
{"role": "volunteer", "content": "I", "session_id": 3071, "sequence_id": 540, "annotations": []}
{"role": "volunteer", "content": "Did you get an answer? Oh, I can look at your screen again.", "session_id": 3071, "sequence_id": 541, "annotations": []}
{"role": "volunteer", "content": "All right", "session_id": 3071, "sequence_id": 542, "annotations": []}
{"role": "volunteer", "content": "So the time unit there is years.", "session_id": 3071, "sequence_id": 543, "annotations": []}
{"role": "volunteer", "content": "because that was what the question was in.", "session_id": 3071, "sequence_id": 544, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 3071, "sequence_id": 545, "annotations": []}
{"role": "volunteer", "content": "So that's the answer, 4.7585. You probably should do some rounding, but", "session_id": 3071, "sequence_id": 546, "annotations": []}
{"role": "volunteer", "content": "they didn't tell you to, so I was 10 of the minus 4th. So that's 4 10,000 of the year.", "session_id": 3071, "sequence_id": 547, "annotations": []}
{"role": "student", "content": "All right", "session_id": 3071, "sequence_id": 548, "annotations": []}
{"role": "volunteer", "content": "It's gonna be some hours.", "session_id": 3071, "sequence_id": 549, "annotations": []}
{"role": "student", "content": "But", "session_id": 3071, "sequence_id": 550, "annotations": []}
{"role": "student", "content": "I'm gonna need to go now before it gets too dark.", "session_id": 3071, "sequence_id": 551, "annotations": []}
{"role": "student", "content": "for me to do my chore", "session_id": 3071, "sequence_id": 552, "annotations": []}
{"role": "volunteer", "content": "OK, are you all set on that one?", "session_id": 3071, "sequence_id": 553, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 3071, "sequence_id": 554, "annotations": []}
{"role": "student", "content": "Have a good night, and if I don't talk to you again, have a merry Christmas.", "session_id": 3071, "sequence_id": 555, "annotations": []}
{"role": "volunteer", "content": "Oh, you too. Have a good, good 2 weeks. Are you gonna be doing any studying during the holidays?", "session_id": 3071, "sequence_id": 556, "annotations": []}
{"role": "student", "content": "Just", "session_id": 3071, "sequence_id": 557, "annotations": []}
{"role": "student", "content": "possibly", "session_id": 3071, "sequence_id": 558, "annotations": []}
{"role": "student", "content": "just stay on the lookout", "session_id": 3071, "sequence_id": 559, "annotations": []}
{"role": "volunteer", "content": "OK. All right. Have a good night.", "session_id": 3071, "sequence_id": 560, "annotations": []}
{"role": "student", "content": "You too", "session_id": 3071, "sequence_id": 561, "annotations": []}
{"role": "volunteer", "content": "Bye", "session_id": 3071, "sequence_id": 562, "annotations": []}
{"role": "volunteer", "content": "What was that", "session_id": 3071, "sequence_id": 563, "annotations": []}
{"role": "student", "content": "OK, can you end the session cause it won't let me. It doesn't let me all day.", "session_id": 3071, "sequence_id": 564, "annotations": []}
{"role": "volunteer", "content": "Oh, OK", "session_id": 3071, "sequence_id": 565, "annotations": []}
{"role": "student", "content": "Can you end the session? It won't let me, for some reason, because it", "session_id": 3071, "sequence_id": 566, "annotations": []}
{"role": "student", "content": "had been like that all day.", "session_id": 3071, "sequence_id": 567, "annotations": []}
{"role": "volunteer", "content": "That's interesting. I wonder why not. Uh.", "session_id": 3071, "sequence_id": 568, "annotations": []}
{"role": "volunteer", "content": "hi!", "session_id": 3117, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "how are you?", "session_id": 3117, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "Good", "session_id": 3117, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "Hello", "session_id": 3117, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "I need help to study for a test", "session_id": 3117, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "ok!", "session_id": 3117, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "what are you learning", "session_id": 3117, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "I don't really know", "session_id": 3117, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "I have a study guide ", "session_id": 3117, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "ok!", "session_id": 3117, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "How do I show you", "session_id": 3117, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "press the button to the right of the eraser button on the gray task bar on the whiteboard in order to upload pics of it", "session_id": 3117, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "I found it", "session_id": 3117, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "great!", "session_id": 3117, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "It's a 6 paged study guide ", "session_id": 3117, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "which questions do you not know how to do", "session_id": 3117, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "most of them", "session_id": 3117, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "I'm sorry I'm really bad at math \ud83d\ude22", "session_id": 3117, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "its ok!", "session_id": 3117, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "but u should try to pay attention in class and ask questions (if you don't already)", "session_id": 3117, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "Oki i will ", "session_id": 3117, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "ok so lets start with 3", "session_id": 3117, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "basically it wants u to solve for q", "session_id": 3117, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "which is the same as isolating the variable (the variable being any unknown letter/constant, in this case q)", "session_id": 3117, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "so isolating the variable means getting it alone on one side while all the know numbers are on the other side of the equation/equal sign", "session_id": 3117, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "Do we start by subtracting one of the qs", "session_id": 3117, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "yes!", "session_id": 3117, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "either one works", "session_id": 3117, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "i would subtract the smaller one", "session_id": 3117, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "Oooo okay", "session_id": 3117, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "25", "session_id": 3117, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "Oops 27", "session_id": 3117, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "so that you dont get a negative q", "session_id": 3117, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "Okay okay", "session_id": 3117, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "its 72-27", "session_id": 3117, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "which is 45 q", "session_id": 3117, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "do u understand how i got 45", "session_id": 3117, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 3117, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "I'm gonna write this down", "session_id": 3117, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "great!", "session_id": 3117, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "also do you know the reason we had to subtract by 27q instead of add it?", "session_id": 3117, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 3117, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "No", "session_id": 3117, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "I just know we have to do it ", "session_id": 3117, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "its because 27q is already a positive number (+27q) so if we want to get rid of it on the left side, we must use the opposite of addition to do that because 27-27=0... and whatever we do to one side of the equation we must do to the other side (equation has to still be true/balanced)", "session_id": 3117, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "Oh yeahhh", "session_id": 3117, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "do you know what the next step will be", "session_id": 3117, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "Sorry ", "session_id": 3117, "sequence_id": 47, "annotations": []}
{"role": "student", "content": "Is this howbi set it up ", "session_id": 3117, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "72q-27q is not 72q", "session_id": 3117, "sequence_id": 49, "annotations": []}
{"role": "student", "content": "Oops ", "session_id": 3117, "sequence_id": 50, "annotations": []}
{"role": "student", "content": "I see", "session_id": 3117, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "what do u think the next step would be?", "session_id": 3117, "sequence_id": 52, "annotations": []}
{"role": "student", "content": "Subtracting 50", "session_id": 3117, "sequence_id": 53, "annotations": []}
{"role": "student", "content": "Addding 100", "session_id": 3117, "sequence_id": 54, "annotations": []}
{"role": "student", "content": "?? ", "session_id": 3117, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "yes!!", "session_id": 3117, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "can you show me on the board", "session_id": 3117, "sequence_id": 57, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 3117, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "good!!", "session_id": 3117, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "dont forget the q", "session_id": 3117, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "do you know what to do next?", "session_id": 3117, "sequence_id": 61, "annotations": []}
{"role": "student", "content": "The equation is difficult to write on phone", "session_id": 3117, "sequence_id": 62, "annotations": []}
{"role": "student", "content": "Uhhh", "session_id": 3117, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "ohh", "session_id": 3117, "sequence_id": 64, "annotations": []}
{"role": "student", "content": "Divide", "session_id": 3117, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "good!!", "session_id": 3117, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "you understand everything?", "session_id": 3117, "sequence_id": 67, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 3117, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "the key things to remember are: to isolate the variable, do the inverse (opposite) operation... and whatever u do to one side of the equation, u must do to the other side", "session_id": 3117, "sequence_id": 69, "annotations": []}
{"role": "student", "content": "Mhm", "session_id": 3117, "sequence_id": 70, "annotations": []}
{"role": "student", "content": "Yes thank you", "session_id": 3117, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "no problem!", "session_id": 3117, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "i actually hv to go now tho", "session_id": 3117, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "sorry it was so short", "session_id": 3117, "sequence_id": 74, "annotations": []}
{"role": "student", "content": "It's okay thanks for helping me", "session_id": 3117, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "im sure u will be able to find another coach/tutor tho!", "session_id": 3117, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "np!", "session_id": 3117, "sequence_id": 77, "annotations": []}
{"role": "student", "content": "Mark bye bye", "session_id": 3117, "sequence_id": 78, "annotations": [{"pii_type": "PERSON", "surrogate": "Mark", "start": 0, "end": 4}]}
{"role": "volunteer", "content": "Hello", "session_id": 3104, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "How can I help you today ?", "session_id": 3104, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "hi", "session_id": 3104, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "I need u check my work", "session_id": 3104, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "Sure", "session_id": 3104, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "I can't read them", "session_id": 3104, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "Can you make them bigger?", "session_id": 3104, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "sure", "session_id": 3104, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "Where is the work you started?", "session_id": 3104, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "let me upload it", "session_id": 3104, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "Sure", "session_id": 3104, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "is the piecewise function what you started to work on?", "session_id": 3104, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "everything", "session_id": 3104, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "scroll down", "session_id": 3104, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "Do you have to draw something or ?", "session_id": 3104, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "no", "session_id": 3104, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "do the graph", "session_id": 3104, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "and check if i did my part d correct", "session_id": 3104, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "ofc", "session_id": 3104, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "I need to leave now . I am sorry.", "session_id": 3104, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "Please fee free to ask for anther help?", "session_id": 3104, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "ok", "session_id": 3104, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "hi Alice", "session_id": 3123, "sequence_id": 0, "annotations": [{"pii_type": "PERSON", "surrogate": "Alice", "start": 3, "end": 8}]}
{"role": "student", "content": "Hiii", "session_id": 3123, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "i need u check my project", "session_id": 3123, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "OK. do you have something to upload?", "session_id": 3123, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "yupp", "session_id": 3123, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "this is a lot of work.", "session_id": 3123, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "yes, but i did them", "session_id": 3123, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "you want me to check it. does that mean that you have answered these questions?", "session_id": 3123, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "yessssssssss", "session_id": 3123, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "is that in a 3rd image?", "session_id": 3123, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "yup", "session_id": 3123, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "can you load the answers so that I can check them?", "session_id": 3123, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "yes", "session_id": 3123, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "here", "session_id": 3123, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "I circled 2 points. Looks like the ride would be awfully rough there.", "session_id": 3123, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "does it have to be perfect", "session_id": 3123, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "it's going to take me some time to review all of this", "session_id": 3123, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "ok", "session_id": 3123, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "the functions seem to work", "session_id": 3123, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "Mr. Davis", "session_id": 3123, "sequence_id": 19, "annotations": [{"pii_type": "PERSON", "surrogate": "Mr. Davis", "start": 0, "end": 9}]}
{"role": "student", "content": "hows the rest", "session_id": 3123, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "still looking", "session_id": 3123, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "did you research the maximum height?", "session_id": 3123, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "yh", "session_id": 3123, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "that was a question in Part A. h<= what?", "session_id": 3123, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "where", "session_id": 3123, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "yeah, there", "session_id": 3123, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "what about it", "session_id": 3123, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "they want you to fill that in", "session_id": 3123, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "where", "session_id": 3123, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "2 places. I circled", "session_id": 3123, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "it should be based on graph", "session_id": 3123, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "no", "session_id": 3123, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "you are supposed to research the tallest roller coaster in the world and make sure you don't make yours taller.", "session_id": 3123, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "ok", "session_id": 3123, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "you only gave 1 interval where you'll be going uphill. aren't there 2?", "session_id": 3123, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "does it say 2", "session_id": 3123, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "it says \"intervals.\" you designed the roller coaster. aren't there 2 places where it goes up?", "session_id": 3123, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "oh goshh", "session_id": 3123, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "actually, 3", "session_id": 3123, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "WHAT", "session_id": 3123, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "where", "session_id": 3123, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "I circled all 3 in green", "session_id": 3123, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "ohhh then im gooddd", "session_id": 3123, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "why are you good?", "session_id": 3123, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "there are 3 intervals of increase, and you only listed 1", "session_id": 3123, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "should it be only one", "session_id": 3123, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "??", "session_id": 3123, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "there are also 3 intervals of decrease and you only listed 1", "session_id": 3123, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "unless you change your graph and functions, there are 3 of each", "session_id": 3123, "sequence_id": 49, "annotations": []}
{"role": "student", "content": "ok wait", "session_id": 3123, "sequence_id": 50, "annotations": []}
{"role": "student", "content": "wait", "session_id": 3123, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "are we moving slow?", "session_id": 3123, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "every time you go uphill you slow down", "session_id": 3123, "sequence_id": 53, "annotations": []}
{"role": "student", "content": "0\u2264x\u22645, 7\u2264x\u226413, 18\u2264x\u226423 , here the uphill", "session_id": 3123, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "they want all the intervals of increase and all the intervals of decrease", "session_id": 3123, "sequence_id": 55, "annotations": []}
{"role": "student", "content": "here downhill", "session_id": 3123, "sequence_id": 56, "annotations": []}
{"role": "student", "content": "5\u2264x\u22647, 13\u2264x\u226418 and 23\u2264x\u226440", "session_id": 3123, "sequence_id": 57, "annotations": []}
{"role": "student", "content": "Good?", "session_id": 3123, "sequence_id": 58, "annotations": []}
{"role": "student", "content": "wait its all t right", "session_id": 3123, "sequence_id": 59, "annotations": []}
{"role": "student", "content": "not x", "session_id": 3123, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "it's all t", "session_id": 3123, "sequence_id": 61, "annotations": []}
{"role": "student", "content": "okk", "session_id": 3123, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "and doesn't it go up 23 to 24?", "session_id": 3123, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "as part of absolute value?", "session_id": 3123, "sequence_id": 64, "annotations": []}
{"role": "student", "content": "it doesnt??", "session_id": 3123, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "so, down from 13 to 23, then up from 23 to 24, then down from 24 to 40", "session_id": 3123, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "I circled 23 to 24 in green. that's going up", "session_id": 3123, "sequence_id": 67, "annotations": []}
{"role": "student", "content": "ohh", "session_id": 3123, "sequence_id": 68, "annotations": []}
{"role": "student", "content": "0\u2264x\u22645, 7\u2264x\u226413,23\u2264t\u226424", "session_id": 3123, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "those are the increasing intervals", "session_id": 3123, "sequence_id": 70, "annotations": []}
{"role": "student", "content": "im confusing rn", "session_id": 3123, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "I just told you that you gave a right answer", "session_id": 3123, "sequence_id": 72, "annotations": []}
{"role": "student", "content": "ohhhhhhh Mr. Davis", "session_id": 3123, "sequence_id": 73, "annotations": [{"pii_type": "PERSON", "surrogate": "Mr. Davis", "start": 9, "end": 18}]}
{"role": "volunteer", "content": "you got all 3 increasing intervals", "session_id": 3123, "sequence_id": 74, "annotations": []}
{"role": "student", "content": "yay", "session_id": 3123, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "you need those intervals in both the \"final destination ride\" paragraph and in the Part D table", "session_id": 3123, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "plus, now you need to also find all 3 decreasing intervals", "session_id": 3123, "sequence_id": 77, "annotations": []}
{"role": "student", "content": "i did", "session_id": 3123, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "the correct intervals", "session_id": 3123, "sequence_id": 79, "annotations": []}
{"role": "student", "content": "part c?", "session_id": 3123, "sequence_id": 80, "annotations": []}
{"role": "student", "content": "0\u2264x\u22645, 7\u2264x\u226413, 18\u2264x\u226423 , here the uphill\n5\u2264x\u22647, 13\u2264x\u226418 and 23\u2264x\u226440, downhill", "session_id": 3123, "sequence_id": 81, "annotations": []}
{"role": "volunteer", "content": "0\u2264x\u22645, 7\u2264x\u226413,23\u2264t\u226424 uphill", "session_id": 3123, "sequence_id": 82, "annotations": []}
{"role": "student", "content": "opss", "session_id": 3123, "sequence_id": 83, "annotations": []}
{"role": "student", "content": "alrightyy fix", "session_id": 3123, "sequence_id": 84, "annotations": []}
{"role": "volunteer", "content": "and you also have to fix downhill", "session_id": 3123, "sequence_id": 85, "annotations": []}
{"role": "student", "content": "which one", "session_id": 3123, "sequence_id": 86, "annotations": []}
{"role": "volunteer", "content": "middle one", "session_id": 3123, "sequence_id": 87, "annotations": []}
{"role": "volunteer", "content": "and last one, actually", "session_id": 3123, "sequence_id": 88, "annotations": []}
{"role": "volunteer", "content": "downhill is 13 all the way to 23", "session_id": 3123, "sequence_id": 89, "annotations": []}
{"role": "volunteer", "content": "then downhill again 24 to 40", "session_id": 3123, "sequence_id": 90, "annotations": []}
{"role": "student", "content": "5\u2264x\u22647, 13\u2264x\u226423 and 24\u2264x\u226440, downhill", "session_id": 3123, "sequence_id": 91, "annotations": []}
{"role": "volunteer", "content": "right?", "session_id": 3123, "sequence_id": 92, "annotations": []}
{"role": "volunteer", "content": "yeah", "session_id": 3123, "sequence_id": 93, "annotations": []}
{"role": "volunteer", "content": "need to fix that also in the table in Part D", "session_id": 3123, "sequence_id": 94, "annotations": []}
{"role": "volunteer", "content": "last thing you need to fix is local minima/maxima", "session_id": 3123, "sequence_id": 95, "annotations": []}
{"role": "volunteer", "content": "you only did global", "session_id": 3123, "sequence_id": 96, "annotations": []}
{"role": "student", "content": "so what should it be?", "session_id": 3123, "sequence_id": 97, "annotations": []}
{"role": "volunteer", "content": "you don't seem to understand much about these functions. did you find all the piecewise functions yourself?", "session_id": 3123, "sequence_id": 98, "annotations": []}
{"role": "student", "content": "yupp", "session_id": 3123, "sequence_id": 99, "annotations": []}
{"role": "volunteer", "content": "do you know what local minima/maxima are?", "session_id": 3123, "sequence_id": 100, "annotations": []}
{"role": "volunteer", "content": "like (7, 20)", "session_id": 3123, "sequence_id": 101, "annotations": []}
{"role": "student", "content": "(23,120) for min", "session_id": 3123, "sequence_id": 102, "annotations": []}
{"role": "volunteer", "content": "yeah, that's another minimum", "session_id": 3123, "sequence_id": 103, "annotations": []}
{"role": "student", "content": "(13,380),(24,170)", "session_id": 3123, "sequence_id": 104, "annotations": []}
{"role": "volunteer", "content": "(5, 100) is a local maximum", "session_id": 3123, "sequence_id": 105, "annotations": []}
{"role": "student", "content": "alrightyy", "session_id": 3123, "sequence_id": 106, "annotations": []}
{"role": "volunteer", "content": "fix all those things and you are good", "session_id": 3123, "sequence_id": 107, "annotations": []}
{"role": "student", "content": "only one?? Mr. Davis", "session_id": 3123, "sequence_id": 108, "annotations": [{"pii_type": "PERSON", "surrogate": "Mr. Davis", "start": 11, "end": 20}]}
{"role": "volunteer", "content": "you listed 2 of them. I gave you a 3rd one", "session_id": 3123, "sequence_id": 109, "annotations": []}
{"role": "student", "content": "oh thats what i thoughtt", "session_id": 3123, "sequence_id": 110, "annotations": []}
{"role": "student", "content": "so for the uphill and downhill is the one ones increas and decrease intervals", "session_id": 3123, "sequence_id": 111, "annotations": []}
{"role": "volunteer", "content": "any place it \"hits the top\" then goes back down", "session_id": 3123, "sequence_id": 112, "annotations": []}
{"role": "student", "content": "correct?", "session_id": 3123, "sequence_id": 113, "annotations": []}
{"role": "volunteer", "content": "yes. uphill is increase, downhill is decrease", "session_id": 3123, "sequence_id": 114, "annotations": []}
{"role": "student", "content": "anything else?", "session_id": 3123, "sequence_id": 115, "annotations": []}
{"role": "volunteer", "content": "that should be it", "session_id": 3123, "sequence_id": 116, "annotations": []}
{"role": "student", "content": "Mr. Davis", "session_id": 3123, "sequence_id": 117, "annotations": [{"pii_type": "PERSON", "surrogate": "Mr. Davis", "start": 0, "end": 9}]}
{"role": "volunteer", "content": "yw", "session_id": 3123, "sequence_id": 118, "annotations": []}
{"role": "student", "content": "BYE", "session_id": 3123, "sequence_id": 119, "annotations": []}
{"role": "student", "content": "hello i need help completing my hw", "session_id": 3151, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "Okay", "session_id": 3151, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "this is the law of cosines", "session_id": 3151, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "yes", "session_id": 3151, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "This is the variant we can use to find c", "session_id": 3151, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "and we sub the values in", "session_id": 3151, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "okk", "session_id": 3151, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "That's the value of c^2", "session_id": 3151, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "okk", "session_id": 3151, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "So the answer is this", "session_id": 3151, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "got it?", "session_id": 3151, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "yes", "session_id": 3151, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "any moe problems?", "session_id": 3151, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "no thats it ty", "session_id": 3151, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "Okay", "session_id": 3151, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "Happy Holiday", "session_id": 3151, "sequence_id": 15, "annotations": [{"pii_type": "DATE", "surrogate": "Happy Holiday", "start": 0, "end": 13}]}
{"role": "volunteer", "content": "Hello! how can I help?", "session_id": 3149, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "i need help with my hw", "session_id": 3149, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "Ok no problem! \nThanks for uploading!", "session_id": 3149, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "I see that you tried solving the problem", "session_id": 3149, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "How did you think about it initially?", "session_id": 3149, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "The question requires a solid analysis of sin cos and tan", "session_id": 3149, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "oh ok", "session_id": 3149, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "So, would you be able to show on the board how you initially solved the problem?", "session_id": 3149, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "As you write, I can hint at potential mistakes :)", "session_id": 3149, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "We could then go over the question together :)", "session_id": 3149, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "I see that you may have disconnected from the internet, I'll wait for a few minutes in case your internet connection improves", "session_id": 3149, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "Ok, as I haven't heard back yet, I'll end the session real quick. But if you have any additional questions, please feel free to open up another session at any time! Best of luck!", "session_id": 3149, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "Hello :)", "session_id": 3139, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "Hello", "session_id": 3139, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "Im Sam my mom set up the account", "session_id": 3139, "sequence_id": 2, "annotations": [{"pii_type": "PERSON", "surrogate": "Sam", "start": 3, "end": 6}]}
{"role": "volunteer", "content": "Are you in need of any help?", "session_id": 3139, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "Hi Sam, nice to meet you :)", "session_id": 3139, "sequence_id": 4, "annotations": [{"pii_type": "PERSON", "surrogate": "Sam", "start": 3, "end": 6}]}
{"role": "student", "content": "im trying to solve this assignment I already figured out 1 but im not sure how to do the others", "session_id": 3139, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "Ok no problem :)", "session_id": 3139, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "Do you know many of the trig identities?", "session_id": 3139, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "so first question what do the fractions actually mean here", "session_id": 3139, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "So we are looking at 1-sin^2x over 1+cot^2x", "session_id": 3139, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "Cotx we know is 1/tanx", "session_id": 3139, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "Ok, so I see a few things here", "session_id": 3139, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "Can you tell me what 1 + cot^2 x is equal to?", "session_id": 3139, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "On the chart", "session_id": 3139, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "csc^2x", "session_id": 3139, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "Good :) and can you tell me what csc actually is?", "session_id": 3139, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "no", "session_id": 3139, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "No problem :) csc is 1/sin", "session_id": 3139, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "And so csc^2 x is the same as saying 1 / sin^2 x", "session_id": 3139, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "Is that right?", "session_id": 3139, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "i think??", "session_id": 3139, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "Good, can you tell me what happens when we divide by a fraction?", "session_id": 3139, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "z/y", "session_id": 3139, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "Because now we are dividing by 1/sin^2 x, right?", "session_id": 3139, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "the bottom number divides the top number", "session_id": 3139, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "Good, or in other words we can multiply by the reciprocal", "session_id": 3139, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "So we can multiply by sin^2 x, if we have csc^2 x in the denominator", "session_id": 3139, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "Does that make sense to you?", "session_id": 3139, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "ok", "session_id": 3139, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "i think", "session_id": 3139, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "No problem, i can explain further :)", "session_id": 3139, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "Do you know what 1/sin(x) is?", "session_id": 3139, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "no", "session_id": 3139, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "Ok, no problem", "session_id": 3139, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "So all of the trig, sec, csc and cot are all the same as 1 over the normal trig", "session_id": 3139, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "So 1/sin(x) is csc(x)", "session_id": 3139, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "1/cos(x) is sec(x)", "session_id": 3139, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "And 1/tan(x) is cot(x)", "session_id": 3139, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "how does this help with proving the trig?", "session_id": 3139, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "It helps you understand what they are to manipulate the problems", "session_id": 3139, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "So we can look again at question 2", "session_id": 3139, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "What does it say 1 + cot^2 (x) is?", "session_id": 3139, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "1/sin^2", "session_id": 3139, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "Good :)", "session_id": 3139, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "And then, because we are divining by 1/sin^2 (x), that means what?", "session_id": 3139, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "1-sin^2 over 1 over sin^2", "session_id": 3139, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "I think it\u2019s a bit simpler than that :) we can just multiply by sin^2 (x) now", "session_id": 3139, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "Because if we divide by 1/4 that is the same as multiplying by 4", "session_id": 3139, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "It is the same concept :)", "session_id": 3139, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "ok", "session_id": 3139, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "Now, can you tell me if 1 - sin^2 (x) is on the table?", "session_id": 3139, "sequence_id": 50, "annotations": []}
{"role": "student", "content": "sp mpw we have -1sin^2 and sin^2 times sin^2", "session_id": 3139, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "Now we have", "session_id": 3139, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "( 1 - sin^2 (x) ) ( sin^2(x) )", "session_id": 3139, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "Or 1 - sin^2 multiplied by sin^2", "session_id": 3139, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "Can you tell me if 1 - sin^2 is on the table?", "session_id": 3139, "sequence_id": 55, "annotations": []}
{"role": "student", "content": "yes", "session_id": 3139, "sequence_id": 56, "annotations": []}
{"role": "student", "content": "at the bottom", "session_id": 3139, "sequence_id": 57, "annotations": []}
{"role": "student", "content": "well its very close anyway", "session_id": 3139, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "Not quite that\u2019s 1-2sin^2 x which can\u2019t work here", "session_id": 3139, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "But I do see a way to get an answer", "session_id": 3139, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "Do you see how sin^2 + cos^2 = 1?", "session_id": 3139, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "The first one in the graph", "session_id": 3139, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "Or chart", "session_id": 3139, "sequence_id": 63, "annotations": []}
{"role": "student", "content": "yes", "session_id": 3139, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "Can we manipulate that in any way? To get an answer", "session_id": 3139, "sequence_id": 65, "annotations": []}
{"role": "student", "content": "don't know how there is no cos", "session_id": 3139, "sequence_id": 66, "annotations": []}
{"role": "student", "content": "wait a sec", "session_id": 3139, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "We have sin^2 + cos^2 = 1", "session_id": 3139, "sequence_id": 68, "annotations": []}
{"role": "student", "content": "we have 1 correct", "session_id": 3139, "sequence_id": 69, "annotations": []}
{"role": "student", "content": "so sin^2+cos^2", "session_id": 3139, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "= 1", "session_id": 3139, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "So what is 1 - Sin^2", "session_id": 3139, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "If sin^2 + cos^2 = 1", "session_id": 3139, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "Can we subtract sin^2 ?", "session_id": 3139, "sequence_id": 74, "annotations": []}
{"role": "student", "content": "just cos", "session_id": 3139, "sequence_id": 75, "annotations": []}
{"role": "student", "content": "the times the sin^2", "session_id": 3139, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "If Sin^2 + Cos^2 = 1", "session_id": 3139, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "What would happen if we subtract sin^2 from each side?", "session_id": 3139, "sequence_id": 78, "annotations": []}
{"role": "student", "content": "just cos", "session_id": 3139, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "Just cos?", "session_id": 3139, "sequence_id": 80, "annotations": []}
{"role": "student", "content": "well that and the multiplying", "session_id": 3139, "sequence_id": 81, "annotations": []}
{"role": "volunteer", "content": "Or would it be cos^2", "session_id": 3139, "sequence_id": 82, "annotations": []}
{"role": "student", "content": "im talking about cos^2 just to lazy to type of ^2", "session_id": 3139, "sequence_id": 83, "annotations": []}
{"role": "volunteer", "content": "Ok good.", "session_id": 3139, "sequence_id": 84, "annotations": []}
{"role": "volunteer", "content": "So tell me", "session_id": 3139, "sequence_id": 85, "annotations": []}
{"role": "volunteer", "content": "1 - sin^2", "session_id": 3139, "sequence_id": 86, "annotations": []}
{"role": "volunteer", "content": "Is", "session_id": 3139, "sequence_id": 87, "annotations": []}
{"role": "student", "content": "the final answer is sin^2cos^2 im to lazy to type the full equation", "session_id": 3139, "sequence_id": 88, "annotations": []}
{"role": "volunteer", "content": "Good, that is the final answer", "session_id": 3139, "sequence_id": 89, "annotations": []}
{"role": "volunteer", "content": "It tells you that though, but do you understand how we got there?", "session_id": 3139, "sequence_id": 90, "annotations": []}
{"role": "student", "content": "yes", "session_id": 3139, "sequence_id": 91, "annotations": []}
{"role": "volunteer", "content": "Ok good :)", "session_id": 3139, "sequence_id": 92, "annotations": []}
{"role": "volunteer", "content": "Do you want to try the next one?", "session_id": 3139, "sequence_id": 93, "annotations": []}
{"role": "student", "content": "yes but gimme a sec", "session_id": 3139, "sequence_id": 94, "annotations": []}
{"role": "volunteer", "content": "Take your time", "session_id": 3139, "sequence_id": 95, "annotations": []}
{"role": "student", "content": "need to finish putting it on an assignment", "session_id": 3139, "sequence_id": 96, "annotations": []}
{"role": "student", "content": "isn't tan cos/sin or is it the other way around?", "session_id": 3139, "sequence_id": 97, "annotations": []}
{"role": "volunteer", "content": "tan x is sin x / cos x :)", "session_id": 3139, "sequence_id": 98, "annotations": []}
{"role": "student", "content": "lemme think", "session_id": 3139, "sequence_id": 99, "annotations": []}
{"role": "volunteer", "content": "If you want any assistance let me know :) this is a hard one", "session_id": 3139, "sequence_id": 100, "annotations": []}
{"role": "student", "content": "it definetly has something to do with tan being sin/cos but I can't think of what to do next", "session_id": 3139, "sequence_id": 101, "annotations": []}
{"role": "volunteer", "content": "No problem :) I actually had to look it up myself. But I understand", "session_id": 3139, "sequence_id": 102, "annotations": []}
{"role": "volunteer", "content": "Try getting them all with the same denominator", "session_id": 3139, "sequence_id": 103, "annotations": []}
{"role": "volunteer", "content": "You can always multiply anything by 1, so take the -sinx and multiply by cosx / cosx", "session_id": 3139, "sequence_id": 104, "annotations": []}
{"role": "volunteer", "content": "Sorry, cos^2x / cos^2x", "session_id": 3139, "sequence_id": 105, "annotations": []}
{"role": "volunteer", "content": "And tell me when you\u2019re done :)", "session_id": 3139, "sequence_id": 106, "annotations": []}
{"role": "student", "content": "yeah im lost like cos^2-sin^2 can become cos2x but im not sure if i can do that with the division symbol", "session_id": 3139, "sequence_id": 107, "annotations": []}
{"role": "volunteer", "content": "No problem :)", "session_id": 3139, "sequence_id": 108, "annotations": []}
{"role": "volunteer", "content": "So we already have sin^2 x / cos^2 x", "session_id": 3139, "sequence_id": 109, "annotations": []}
{"role": "volunteer", "content": "And we are subtracting sin^2 x", "session_id": 3139, "sequence_id": 110, "annotations": []}
{"role": "volunteer", "content": "So to get the same denominator, let\u2019s multiply that by cos^2 x / cos^2 x", "session_id": 3139, "sequence_id": 111, "annotations": []}
{"role": "volunteer", "content": "So the full problem is", "session_id": 3139, "sequence_id": 112, "annotations": []}
{"role": "volunteer", "content": "(Sin^2x - sin^2xcos^2x ) / cos^2 x", "session_id": 3139, "sequence_id": 113, "annotations": []}
{"role": "volunteer", "content": "I promise it gets cleaned up", "session_id": 3139, "sequence_id": 114, "annotations": []}
{"role": "volunteer", "content": "Can you tell what we can do next?", "session_id": 3139, "sequence_id": 115, "annotations": []}
{"role": "student", "content": "nope because in text form that looks like a bunch of jumbled letters", "session_id": 3139, "sequence_id": 116, "annotations": []}
{"role": "volunteer", "content": "We can factor out sin^2 x", "session_id": 3139, "sequence_id": 117, "annotations": []}
{"role": "volunteer", "content": "So if we put sin^2 x on the outside, what is left on the inside?", "session_id": 3139, "sequence_id": 118, "annotations": []}
{"role": "volunteer", "content": "( sin^2 - sin^2 \u2022 cos^2)", "session_id": 3139, "sequence_id": 119, "annotations": []}
{"role": "student", "content": "well sin^2-sin^2 cancels", "session_id": 3139, "sequence_id": 120, "annotations": []}
{"role": "student", "content": "i think?", "session_id": 3139, "sequence_id": 121, "annotations": []}
{"role": "volunteer", "content": "Careful, wha is sin^2 / sin^2", "session_id": 3139, "sequence_id": 122, "annotations": []}
{"role": "volunteer", "content": "What is 4/4 ?", "session_id": 3139, "sequence_id": 123, "annotations": []}
{"role": "student", "content": "1", "session_id": 3139, "sequence_id": 124, "annotations": []}
{"role": "volunteer", "content": "Good :) don\u2019t forget the 1 it\u2019s important", "session_id": 3139, "sequence_id": 125, "annotations": []}
{"role": "student", "content": "wait this a minus sign not a divison sign", "session_id": 3139, "sequence_id": 126, "annotations": []}
{"role": "volunteer", "content": "Oh ok I see what you did", "session_id": 3139, "sequence_id": 127, "annotations": []}
{"role": "student", "content": "or can I not do that because of the cos^2 x", "session_id": 3139, "sequence_id": 128, "annotations": []}
{"role": "volunteer", "content": "So sinx - sinxcosx can\u2019t be done, remember because it\u2019s multiplied we can\u2019t cross off individual pieces", "session_id": 3139, "sequence_id": 129, "annotations": []}
{"role": "student", "content": "so how do I finx this cos^2/cos^2", "session_id": 3139, "sequence_id": 130, "annotations": []}
{"role": "volunteer", "content": "Well that is equal to 1 :) I\u2019ll try and write what we have on the whiteboard.", "session_id": 3139, "sequence_id": 131, "annotations": []}
{"role": "volunteer", "content": "We multiplied by \u201c1\u201d so we can have the same denominator on the problem", "session_id": 3139, "sequence_id": 132, "annotations": []}
{"role": "volunteer", "content": "So we can actually factor this", "session_id": 3139, "sequence_id": 133, "annotations": []}
{"role": "volunteer", "content": "You know how 5x - 25 can be rewritten as 5(x-5)", "session_id": 3139, "sequence_id": 134, "annotations": []}
{"role": "student", "content": "i hate factoring but yes", "session_id": 3139, "sequence_id": 135, "annotations": []}
{"role": "volunteer", "content": "Good :) we can do the same here with sin^2 x", "session_id": 3139, "sequence_id": 136, "annotations": []}
{"role": "volunteer", "content": "Can you see what you get?", "session_id": 3139, "sequence_id": 137, "annotations": []}
{"role": "student", "content": "nope", "session_id": 3139, "sequence_id": 138, "annotations": []}
{"role": "student", "content": "its sin I understand numbers not whatever the heck sin is", "session_id": 3139, "sequence_id": 139, "annotations": []}
{"role": "volunteer", "content": "Let\u2019s replace it then :)", "session_id": 3139, "sequence_id": 140, "annotations": []}
{"role": "volunteer", "content": "Let\u2019s say Sin^2 X is equal to U, can we do that?", "session_id": 3139, "sequence_id": 141, "annotations": []}
{"role": "volunteer", "content": "So now we have (U - UCos^2x)", "session_id": 3139, "sequence_id": 142, "annotations": []}
{"role": "volunteer", "content": "What happens when we take U out?", "session_id": 3139, "sequence_id": 143, "annotations": []}
{"role": "student", "content": "U(1-1Cos^2 x)", "session_id": 3139, "sequence_id": 144, "annotations": []}
{"role": "volunteer", "content": "Great :)", "session_id": 3139, "sequence_id": 145, "annotations": []}
{"role": "volunteer", "content": "And so can you tell me what 1-cos^2 is?", "session_id": 3139, "sequence_id": 146, "annotations": []}
{"role": "student", "content": "sin^2(1-1cos^2)", "session_id": 3139, "sequence_id": 147, "annotations": []}
{"role": "volunteer", "content": "Good :)", "session_id": 3139, "sequence_id": 148, "annotations": []}
{"role": "volunteer", "content": "And if we look at the top part of the graph", "session_id": 3139, "sequence_id": 149, "annotations": []}
{"role": "volunteer", "content": "Or the table", "session_id": 3139, "sequence_id": 150, "annotations": []}
{"role": "volunteer", "content": "Back to sin^2 + cos^2 = 1", "session_id": 3139, "sequence_id": 151, "annotations": []}
{"role": "volunteer", "content": "What is 1 - cos^2", "session_id": 3139, "sequence_id": 152, "annotations": []}
{"role": "student", "content": "sin^2(sin^2cos^2-cos^2)", "session_id": 3139, "sequence_id": 153, "annotations": []}
{"role": "volunteer", "content": "Woah woah woah", "session_id": 3139, "sequence_id": 154, "annotations": []}
{"role": "student", "content": "sin^2(sin^2+cos^2-cos^2)", "session_id": 3139, "sequence_id": 155, "annotations": []}
{"role": "volunteer", "content": "Ok let\u2019s back up a bit :)", "session_id": 3139, "sequence_id": 156, "annotations": []}
{"role": "volunteer", "content": "So let\u2019s still call the Sin^2 X", "session_id": 3139, "sequence_id": 157, "annotations": []}
{"role": "volunteer", "content": "\u201cU\u201d", "session_id": 3139, "sequence_id": 158, "annotations": []}
{"role": "volunteer", "content": "We know that is on the outside", "session_id": 3139, "sequence_id": 159, "annotations": []}
{"role": "volunteer", "content": "So we have U (1-Cos^2x)", "session_id": 3139, "sequence_id": 160, "annotations": []}
{"role": "volunteer", "content": "And remember that is over cos^2x", "session_id": 3139, "sequence_id": 161, "annotations": []}
{"role": "volunteer", "content": "So now, we can take 1-cos^2", "session_id": 3139, "sequence_id": 162, "annotations": []}
{"role": "volunteer", "content": "And solve for it", "session_id": 3139, "sequence_id": 163, "annotations": []}
{"role": "volunteer", "content": "Because we know six^2 + cos^2 = 1", "session_id": 3139, "sequence_id": 164, "annotations": []}
{"role": "volunteer", "content": "And so 1 - cos^2 = ?", "session_id": 3139, "sequence_id": 165, "annotations": []}
{"role": "student", "content": "six^2 + cos^2 - cos^2", "session_id": 3139, "sequence_id": 166, "annotations": []}
{"role": "volunteer", "content": "Ok", "session_id": 3139, "sequence_id": 167, "annotations": []}
{"role": "volunteer", "content": "So", "session_id": 3139, "sequence_id": 168, "annotations": []}
{"role": "volunteer", "content": "Sin^2 + cos^2 = 1", "session_id": 3139, "sequence_id": 169, "annotations": []}
{"role": "volunteer", "content": "Subtract cos^2 from both sides", "session_id": 3139, "sequence_id": 170, "annotations": []}
{"role": "volunteer", "content": "Can you tell me what we get?", "session_id": 3139, "sequence_id": 171, "annotations": []}
{"role": "student", "content": "sin^2)(six^2)/cos^x", "session_id": 3139, "sequence_id": 172, "annotations": []}
{"role": "student", "content": "or sin^2tan^2", "session_id": 3139, "sequence_id": 173, "annotations": []}
{"role": "volunteer", "content": "Yes that would be the eventual answer", "session_id": 3139, "sequence_id": 174, "annotations": []}
{"role": "volunteer", "content": "Can you see how we got there though?", "session_id": 3139, "sequence_id": 175, "annotations": []}
{"role": "student", "content": "yes", "session_id": 3139, "sequence_id": 176, "annotations": []}
{"role": "volunteer", "content": "Ok", "session_id": 3139, "sequence_id": 177, "annotations": []}
{"role": "student", "content": "gimme a sec to add this to the document", "session_id": 3139, "sequence_id": 178, "annotations": []}
{"role": "volunteer", "content": "Ok :)", "session_id": 3139, "sequence_id": 179, "annotations": []}
{"role": "student", "content": "ok now to four and five since I inteded to be done by 7 and i need this done we need to start fast tracking a bit", "session_id": 3139, "sequence_id": 180, "annotations": []}
{"role": "volunteer", "content": "Ok :) I can try", "session_id": 3139, "sequence_id": 181, "annotations": []}
{"role": "volunteer", "content": "So what do you think we can do first?", "session_id": 3139, "sequence_id": 182, "annotations": []}
{"role": "student", "content": "1 is a term and we have sin/cos being added to it", "session_id": 3139, "sequence_id": 183, "annotations": []}
{"role": "student", "content": "and thats dividng sin/cos", "session_id": 3139, "sequence_id": 184, "annotations": []}
{"role": "volunteer", "content": "I do greatly apoligize however I must go. Good luck and submit another ticket", "session_id": 3139, "sequence_id": 185, "annotations": []}
{"role": "volunteer", "content": "hey", "session_id": 3147, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "hey i need help doing my hw", "session_id": 3147, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "np", "session_id": 3147, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "so its asking us to find a", "session_id": 3147, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "angle a", "session_id": 3147, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "ook", "session_id": 3147, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "so which trig function do you think we need to use?", "session_id": 3147, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "not sure", "session_id": 3147, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "since they gave us all the sides", "session_id": 3147, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "it doesnt matter what we need to use", "session_id": 3147, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "oh ok", "session_id": 3147, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "but lets do co", "session_id": 3147, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "cos", "session_id": 3147, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "ok", "session_id": 3147, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "which is adj and hyp", "session_id": 3147, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "c is the hyp", "session_id": 3147, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "b the adj", "session_id": 3147, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "so its cos(11/8)", "session_id": 3147, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "oh ok", "session_id": 3147, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "wait", "session_id": 3147, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "did you guys learn laws of cosine", "session_id": 3147, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "not yet", "session_id": 3147, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "oh", "session_id": 3147, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "whats this unit", "session_id": 3147, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "not sure", "session_id": 3147, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "this require laws of cosine", "session_id": 3147, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "which is", "session_id": 3147, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "let me put it on board", "session_id": 3147, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "oh ok", "session_id": 3147, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "try solving now", "session_id": 3147, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "and let me know when you do", "session_id": 3147, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "Hi!", "session_id": 3144, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "Hi Chloe, what's up?", "session_id": 3144, "sequence_id": 1, "annotations": [{"pii_type": "PERSON", "surrogate": "Chloe", "start": 3, "end": 8}]}
{"role": "student", "content": "So I have a Ap stats test tmmr and I ended up missing a day when they learned a topic and i dont feel prepared at all :/", "session_id": 3144, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "i have some multiple choice questions", "session_id": 3144, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "ok, let's take a look", "session_id": 3144, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "i did some of them in class but i want to redo so i can make sure ik why", "session_id": 3144, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "sure", "session_id": 3144, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "ok, I see", "session_id": 3144, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "so we need to take them one at a time...right...each is T or F", "session_id": 3144, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "yea", "session_id": 3144, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "so what do you think about A?", "session_id": 3144, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "well it says theres more blue", "session_id": 3144, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "sections", "session_id": 3144, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "but the question says its equal", "session_id": 3144, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "right, so more probable blue ...right", "session_id": 3144, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "yea but why does the question say theres an equal chance", "session_id": 3144, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "for blue and orange being chosen", "session_id": 3144, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "Yes, equal chance for each of the 12 sections.", "session_id": 3144, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "but 7 of the sections are blue and 5 are orange.", "session_id": 3144, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "So", "session_id": 3144, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "more chance of a blue", "session_id": 3144, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "ohhh", "session_id": 3144, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "so D", "session_id": 3144, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "D?", "session_id": 3144, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "yea", "session_id": 3144, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "What do you mean? I thought we were gonna go through each one and decide if it's true or false.", "session_id": 3144, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "ohhh i thought i had to choose one", "session_id": 3144, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "No, I think we just have to pick out the true ones.", "session_id": 3144, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "my paper says choose one per question", "session_id": 3144, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "Oh, well, maybe only one of them is right.", "session_id": 3144, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "I'm just going by", "session_id": 3144, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "what it says, which is which of the following is true.", "session_id": 3144, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "Oh, so, you know, maybe you're right because it says is", "session_id": 3144, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "instead of R", "session_id": 3144, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "yea its just one i guess", "session_id": 3144, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "are", "session_id": 3144, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "since theres more blue then d would be correct since the probability of picking blue would be greater", "session_id": 3144, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "7/12", "session_id": 3144, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "Well, let me read blue or let me, let me read the question", "session_id": 3144, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "and see what I think", "session_id": 3144, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "Yes, I agree. D is true.", "session_id": 3144, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "More chance of", "session_id": 3144, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "two blues, then 2 oranges.", "session_id": 3144, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "yea!", "session_id": 3144, "sequence_id": 43, "annotations": []}
{"role": "student", "content": "okay let me put next question", "session_id": 3144, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "So do you know what in independent means?", "session_id": 3144, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "yea so they dont effect eachother", "session_id": 3144, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "so p( a given b) = P(A))", "session_id": 3144, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "Right, exactly", "session_id": 3144, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "or p(b given a) = p(b)", "session_id": 3144, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "So what does it mean mathematically?", "session_id": 3144, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "in terms of the probability of D and E.", "session_id": 3144, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "hmm im not sure :/", "session_id": 3144, "sequence_id": 52, "annotations": []}
{"role": "student", "content": "is d and e just multiplying right", "session_id": 3144, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "it means P(D and E) = P(D)*P(E)", "session_id": 3144, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 3144, "sequence_id": 55, "annotations": []}
{"role": "student", "content": "ohhh so whats D or E?", "session_id": 3144, "sequence_id": 56, "annotations": []}
{"role": "student", "content": "+", "session_id": 3144, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "right. in general P(D or E) = P(D)-P(E) - P(D and E)https://math.example.com you remember seeing that?", "session_id": 3144, "sequence_id": 58, "annotations": [{"pii_type": "URL", "surrogate": "https://math.example.com", "start": 52, "end": 76}]}
{"role": "student", "content": "yes", "session_id": 3144, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "oops", "session_id": 3144, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "P(D) + P(E) - P(D and E)", "session_id": 3144, "sequence_id": 61, "annotations": []}
{"role": "student", "content": "ohhhh", "session_id": 3144, "sequence_id": 62, "annotations": []}
{"role": "student", "content": "D", "session_id": 3144, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "perfect", "session_id": 3144, "sequence_id": 64, "annotations": []}
{"role": "student", "content": "imma remember that for sure!", "session_id": 3144, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "you did it exactly the right way", "session_id": 3144, "sequence_id": 66, "annotations": []}
{"role": "student", "content": "i struggled here", "session_id": 3144, "sequence_id": 67, "annotations": []}
{"role": "student", "content": "okay so", "session_id": 3144, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "ok, do you understand the basic setup?", "session_id": 3144, "sequence_id": 69, "annotations": []}
{"role": "student", "content": "mutually exclusive is where they cant happen together??", "session_id": 3144, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "exactly", "session_id": 3144, "sequence_id": 71, "annotations": []}
{"role": "student", "content": "what does that mean in these scenarios though?", "session_id": 3144, "sequence_id": 72, "annotations": []}
{"role": "student", "content": "like they cant pick both?", "session_id": 3144, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "can F and S both happen?", "session_id": 3144, "sequence_id": 74, "annotations": []}
{"role": "student", "content": "no", "session_id": 3144, "sequence_id": 75, "annotations": []}
{"role": "student", "content": "they only choose one right?", "session_id": 3144, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "can a selected person chose the first discount and the 2nd discount?", "session_id": 3144, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "right, only one", "session_id": 3144, "sequence_id": 78, "annotations": []}
{"role": "student", "content": "ohhh okay", "session_id": 3144, "sequence_id": 79, "annotations": []}
{"role": "student", "content": "A?..", "session_id": 3144, "sequence_id": 80, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 3144, "sequence_id": 81, "annotations": []}
{"role": "student", "content": "yess! I had got this one wrong earlier", "session_id": 3144, "sequence_id": 82, "annotations": []}
{"role": "volunteer", "content": "now right....yay!", "session_id": 3144, "sequence_id": 83, "annotations": []}
{"role": "volunteer", "content": "I like what you are trying to do, but I think you are a little off", "session_id": 3144, "sequence_id": 84, "annotations": []}
{"role": "student", "content": "i dont know where to start", "session_id": 3144, "sequence_id": 85, "annotations": []}
{"role": "volunteer", "content": "how about I start?", "session_id": 3144, "sequence_id": 86, "annotations": []}
{"role": "student", "content": "okay!", "session_id": 3144, "sequence_id": 87, "annotations": []}
{"role": "volunteer", "content": "do you understand my chart?", "session_id": 3144, "sequence_id": 88, "annotations": []}
{"role": "volunteer", "content": "First is whether there is an ice delay (Y or N)", "session_id": 3144, "sequence_id": 89, "annotations": []}
{"role": "student", "content": "yea", "session_id": 3144, "sequence_id": 90, "annotations": []}
{"role": "student", "content": "does the 10 percent really matter here?", "session_id": 3144, "sequence_id": 91, "annotations": []}
{"role": "student", "content": "cant i do", "session_id": 3144, "sequence_id": 92, "annotations": []}
{"role": "student", "content": "0.7*0.95", "session_id": 3144, "sequence_id": 93, "annotations": []}
{"role": "student", "content": "1-.665", "session_id": 3144, "sequence_id": 94, "annotations": []}
{"role": "volunteer", "content": "it might, let's go step by step", "session_id": 3144, "sequence_id": 95, "annotations": []}
{"role": "student", "content": "0.335", "session_id": 3144, "sequence_id": 96, "annotations": []}
{"role": "volunteer", "content": "first...which paths have at least one delay?", "session_id": 3144, "sequence_id": 97, "annotations": []}
{"role": "student", "content": "what do you mean sorry", "session_id": 3144, "sequence_id": 98, "annotations": []}
{"role": "volunteer", "content": "the question is to find pr(at least one delay)...right?", "session_id": 3144, "sequence_id": 99, "annotations": []}
{"role": "student", "content": "yes", "session_id": 3144, "sequence_id": 100, "annotations": []}
{"role": "volunteer", "content": "do which paths have at least 1 delay. top path had 2 delays", "session_id": 3144, "sequence_id": 101, "annotations": []}
{"role": "student", "content": "icy delay with mechanical delay", "session_id": 3144, "sequence_id": 102, "annotations": []}
{"role": "student", "content": "ice delay no mechincal", "session_id": 3144, "sequence_id": 103, "annotations": []}
{"role": "volunteer", "content": "right", "session_id": 3144, "sequence_id": 104, "annotations": []}
{"role": "student", "content": "no ice delay and mechanical", "session_id": 3144, "sequence_id": 105, "annotations": []}
{"role": "volunteer", "content": "2nd path has ice but not mech", "session_id": 3144, "sequence_id": 106, "annotations": []}
{"role": "volunteer", "content": "see what I mean?", "session_id": 3144, "sequence_id": 107, "annotations": []}
{"role": "student", "content": "yea", "session_id": 3144, "sequence_id": 108, "annotations": []}
{"role": "volunteer", "content": "3rd path has no ice but mech", "session_id": 3144, "sequence_id": 109, "annotations": []}
{"role": "volunteer", "content": "so 1 delay", "session_id": 3144, "sequence_id": 110, "annotations": []}
{"role": "volunteer", "content": "last one is the only one with no delays....right", "session_id": 3144, "sequence_id": 111, "annotations": []}
{"role": "student", "content": "yea", "session_id": 3144, "sequence_id": 112, "annotations": []}
{"role": "student", "content": "but the chart is confusing me a bit", "session_id": 3144, "sequence_id": 113, "annotations": []}
{"role": "volunteer", "content": "is there a way we could make it less confusing?", "session_id": 3144, "sequence_id": 114, "annotations": []}
{"role": "student", "content": "does this question need a diagram?", "session_id": 3144, "sequence_id": 115, "annotations": []}
{"role": "volunteer", "content": "OK.", "session_id": 3144, "sequence_id": 116, "annotations": []}
{"role": "volunteer", "content": "Hmmm need needses it help...I think yes", "session_id": 3144, "sequence_id": 117, "annotations": []}
{"role": "student", "content": "oh", "session_id": 3144, "sequence_id": 118, "annotations": []}
{"role": "student", "content": "so 10% represents 2 types", "session_id": 3144, "sequence_id": 119, "annotations": []}
{"role": "student", "content": "so we dont need it right?", "session_id": 3144, "sequence_id": 120, "annotations": []}
{"role": "student", "content": "so we can just 1-p(none)", "session_id": 3144, "sequence_id": 121, "annotations": []}
{"role": "student", "content": "70% would be no icy delay", "session_id": 3144, "sequence_id": 122, "annotations": []}
{"role": "student", "content": "95% would be no mechanical delay", "session_id": 3144, "sequence_id": 123, "annotations": []}
{"role": "volunteer", "content": "we can just do 1 - p(none)", "session_id": 3144, "sequence_id": 124, "annotations": []}
{"role": "volunteer", "content": "that may be easiest, I'm not sure yet", "session_id": 3144, "sequence_id": 125, "annotations": []}
{"role": "student", "content": "that is p(none)?", "session_id": 3144, "sequence_id": 126, "annotations": []}
{"role": "volunteer", "content": "right, let's try it that way first what is pr(not delayed due to ice)?", "session_id": 3144, "sequence_id": 127, "annotations": []}
{"role": "student", "content": "0.7", "session_id": 3144, "sequence_id": 128, "annotations": []}
{"role": "volunteer", "content": "right", "session_id": 3144, "sequence_id": 129, "annotations": []}
{"role": "volunteer", "content": "what is pr(not mech delay given not ice delay)?", "session_id": 3144, "sequence_id": 130, "annotations": []}
{"role": "student", "content": "0.95", "session_id": 3144, "sequence_id": 131, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 3144, "sequence_id": 132, "annotations": []}
{"role": "student", "content": "so 0.7*0.95", "session_id": 3144, "sequence_id": 133, "annotations": []}
{"role": "student", "content": "1-0.665", "session_id": 3144, "sequence_id": 134, "annotations": []}
{"role": "volunteer", "content": "so pr(none) = .7*.95", "session_id": 3144, "sequence_id": 135, "annotations": []}
{"role": "student", "content": "= 0.335", "session_id": 3144, "sequence_id": 136, "annotations": []}
{"role": "student", "content": "so b i guess", "session_id": 3144, "sequence_id": 137, "annotations": []}
{"role": "volunteer", "content": "sounds good", "session_id": 3144, "sequence_id": 138, "annotations": []}
{"role": "student", "content": "b??", "session_id": 3144, "sequence_id": 139, "annotations": []}
{"role": "volunteer", "content": "yes, I agree", "session_id": 3144, "sequence_id": 140, "annotations": []}
{"role": "student", "content": "only a couple more", "session_id": 3144, "sequence_id": 141, "annotations": []}
{"role": "student", "content": "C..?", "session_id": 3144, "sequence_id": 142, "annotations": []}
{"role": "student", "content": "since it can happen at same time", "session_id": 3144, "sequence_id": 143, "annotations": []}
{"role": "student", "content": "and the jobs dont effect eachother", "session_id": 3144, "sequence_id": 144, "annotations": []}
{"role": "volunteer", "content": "right, and we know the 2nd because 0.75*0.5=0.375", "session_id": 3144, "sequence_id": 145, "annotations": []}
{"role": "student", "content": "?", "session_id": 3144, "sequence_id": 146, "annotations": []}
{"role": "student", "content": "wait how would we know independence", "session_id": 3144, "sequence_id": 147, "annotations": []}
{"role": "student", "content": "by calculations here", "session_id": 3144, "sequence_id": 148, "annotations": []}
{"role": "student", "content": "like in this scenario?", "session_id": 3144, "sequence_id": 149, "annotations": []}
{"role": "volunteer", "content": "because P(A and B) = P(A)*P(B)", "session_id": 3144, "sequence_id": 150, "annotations": []}
{"role": "student", "content": "thats all??", "session_id": 3144, "sequence_id": 151, "annotations": []}
{"role": "student", "content": "that tells us independence?", "session_id": 3144, "sequence_id": 152, "annotations": []}
{"role": "volunteer", "content": "in this case, how else would you know they are indep?", "session_id": 3144, "sequence_id": 153, "annotations": []}
{"role": "volunteer", "content": "yes, the mathematical definition is P(A and B) = P(A) *P(B)", "session_id": 3144, "sequence_id": 154, "annotations": []}
{"role": "student", "content": "so we know independence if event A* event B is event A*B", "session_id": 3144, "sequence_id": 155, "annotations": []}
{"role": "volunteer", "content": "yes, if you are talking probabilities", "session_id": 3144, "sequence_id": 156, "annotations": []}
{"role": "student", "content": "but in general how would i do the p a given b", "session_id": 3144, "sequence_id": 157, "annotations": []}
{"role": "volunteer", "content": "ahh   P(A and B) = P(A) * P(B|A)   by def  and if B and A are indel then P(B|A) = P(B), so P(A and B) = P(A) * P(B)", "session_id": 3144, "sequence_id": 158, "annotations": []}
{"role": "student", "content": "so in general it simplifies to P(A and B) = P(A) * P(B)", "session_id": 3144, "sequence_id": 159, "annotations": []}
{"role": "student", "content": "thats how i know independence", "session_id": 3144, "sequence_id": 160, "annotations": []}
{"role": "volunteer", "content": "yes, that is the most common way to check for it", "session_id": 3144, "sequence_id": 161, "annotations": []}
{"role": "student", "content": "Jordan", "session_id": 3144, "sequence_id": 162, "annotations": [{"pii_type": "PERSON", "surrogate": "Jordan", "start": 0, "end": 6}]}
{"role": "volunteer", "content": "what do you knowow where to start?", "session_id": 3144, "sequence_id": 163, "annotations": []}
{"role": "student", "content": "so", "session_id": 3144, "sequence_id": 164, "annotations": []}
{"role": "volunteer", "content": "no?", "session_id": 3144, "sequence_id": 165, "annotations": []}
{"role": "student", "content": "??", "session_id": 3144, "sequence_id": 166, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 3144, "sequence_id": 167, "annotations": []}
{"role": "student", "content": "i was thinking which is why i said so lol", "session_id": 3144, "sequence_id": 168, "annotations": []}
{"role": "student", "content": "okay so 32 are in or OR both?", "session_id": 3144, "sequence_id": 169, "annotations": []}
{"role": "student", "content": "32%", "session_id": 3144, "sequence_id": 170, "annotations": []}
{"role": "volunteer", "content": "forget about the problem for a while.ere is an equation you need to be sure to know for this exam...I will put it on the board", "session_id": 3144, "sequence_id": 171, "annotations": []}
{"role": "volunteer", "content": "we used it before...right?", "session_id": 3144, "sequence_id": 172, "annotations": []}
{"role": "student", "content": "yes so P(A and B) = p(A)+p(B)/ P(A or B)", "session_id": 3144, "sequence_id": 173, "annotations": []}
{"role": "student", "content": "i think idk if i did that right", "session_id": 3144, "sequence_id": 174, "annotations": []}
{"role": "volunteer", "content": "p(A)+p(B)- P(A or B)", "session_id": 3144, "sequence_id": 175, "annotations": []}
{"role": "volunteer", "content": "is what you mean....right?", "session_id": 3144, "sequence_id": 176, "annotations": []}
{"role": "student", "content": "yeaa", "session_id": 3144, "sequence_id": 177, "annotations": []}
{"role": "volunteer", "content": "yes, that is what I was saying, let's use the 2nd eqn for this", "session_id": 3144, "sequence_id": 178, "annotations": []}
{"role": "student", "content": "D???", "session_id": 3144, "sequence_id": 179, "annotations": []}
{"role": "student", "content": "ohhhhhhh", "session_id": 3144, "sequence_id": 180, "annotations": []}
{"role": "volunteer", "content": "ok, they are the same eqn arranged two ways", "session_id": 3144, "sequence_id": 181, "annotations": []}
{"role": "student", "content": "makes sense!!", "session_id": 3144, "sequence_id": 182, "annotations": []}
{"role": "student", "content": "0.17+0.28 - 0.32", "session_id": 3144, "sequence_id": 183, "annotations": []}
{"role": "volunteer", "content": "yes, so answer is D", "session_id": 3144, "sequence_id": 184, "annotations": []}
{"role": "student", "content": "=0.13", "session_id": 3144, "sequence_id": 185, "annotations": []}
{"role": "student", "content": "wow that makes so much more sense!", "session_id": 3144, "sequence_id": 186, "annotations": []}
{"role": "student", "content": "i need to memorize these for tmmr though!", "session_id": 3144, "sequence_id": 187, "annotations": []}
{"role": "volunteer", "content": "Yes, but the nice thing is, once you memorize one of them, you can always get the second one.", "session_id": 3144, "sequence_id": 188, "annotations": []}
{"role": "student", "content": "yea!", "session_id": 3144, "sequence_id": 189, "annotations": []}
{"role": "student", "content": "i have like 2 more problems", "session_id": 3144, "sequence_id": 190, "annotations": []}
{"role": "volunteer", "content": "OK, let's see him", "session_id": 3144, "sequence_id": 191, "annotations": []}
{"role": "student", "content": "do you teach ap stats or regular? this is Ap lol", "session_id": 3144, "sequence_id": 192, "annotations": []}
{"role": "student", "content": "but it is very similar to regular", "session_id": 3144, "sequence_id": 193, "annotations": []}
{"role": "student", "content": "Ap just goes quicker i guess", "session_id": 3144, "sequence_id": 194, "annotations": []}
{"role": "volunteer", "content": "Yeah, Riverdale High.", "session_id": 3144, "sequence_id": 195, "annotations": [{"pii_type": "SCHOOL", "surrogate": "Riverdale High", "start": 6, "end": 20}]}
{"role": "student", "content": "ohh cool!", "session_id": 3144, "sequence_id": 196, "annotations": []}
{"role": "volunteer", "content": "So what do you think of this question?", "session_id": 3144, "sequence_id": 197, "annotations": []}
{"role": "student", "content": "im reading it now", "session_id": 3144, "sequence_id": 198, "annotations": []}
{"role": "student", "content": "D", "session_id": 3144, "sequence_id": 199, "annotations": []}
{"role": "volunteer", "content": "Yup, it's the same equation we've been using, right?", "session_id": 3144, "sequence_id": 200, "annotations": []}
{"role": "student", "content": "yea", "session_id": 3144, "sequence_id": 201, "annotations": []}
{"role": "student", "content": "E", "session_id": 3144, "sequence_id": 202, "annotations": []}
{"role": "volunteer", "content": "Right. Probability is about what happens in the long run in situations like this.", "session_id": 3144, "sequence_id": 203, "annotations": []}
{"role": "student", "content": "alright! thats all I had for today thanks for the help!", "session_id": 3144, "sequence_id": 204, "annotations": []}
{"role": "volunteer", "content": "Very good. It's been very nice helping you. Good luck on your test.", "session_id": 3144, "sequence_id": 205, "annotations": []}
{"role": "student", "content": "thank you bye!", "session_id": 3144, "sequence_id": 206, "annotations": []}
{"role": "volunteer", "content": "Hello Taylor", "session_id": 3176, "sequence_id": 0, "annotations": [{"pii_type": "PERSON", "surrogate": "Taylor", "start": 6, "end": 12}]}
{"role": "student", "content": "Hello!", "session_id": 3176, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "What do you exactly need help with?", "session_id": 3176, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "just studying for an ab calc unit test on derivatives", "session_id": 3176, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "Ok let me know if you need any help", "session_id": 3176, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "im gonna give questions in the chat and try doing them", "session_id": 3176, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "i mean", "session_id": 3176, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "paste them on the board", "session_id": 3176, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "Ok", "session_id": 3176, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "Sounds good", "session_id": 3176, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "think its A", "session_id": 3176, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "is that right?", "session_id": 3176, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "No", "session_id": 3176, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "Oh never mind sorry I did something wrong", "session_id": 3176, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "You are correct \ud83d\udc4d\ud83c\udffd", "session_id": 3176, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "That\u2019s my bad", "session_id": 3176, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "wait apparently its D", "session_id": 3176, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "i dont know how", "session_id": 3176, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "Well don\u2019t use AI to check you\u2019re answers", "session_id": 3176, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "no its the answer key", "session_id": 3176, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "No", "session_id": 3176, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "There\u2019s no way", "session_id": 3176, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "thats what i said", "session_id": 3176, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "im just gonna leave it honeslty", "session_id": 3176, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "Yea the answer key has to be wrong", "session_id": 3176, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "ill move on", "session_id": 3176, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "Ok \ud83d\udc4d\ud83c\udffd", "session_id": 3176, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "B", "session_id": 3176, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "Yes that\u2019s correct \u2705", "session_id": 3176, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "Good job", "session_id": 3176, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "B again", "session_id": 3176, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "Yes that\u2019s correct", "session_id": 3176, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "I got A", "session_id": 3176, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "That\u2019s also correct \ud83d\udc4d\ud83c\udffd\ufe0f", "session_id": 3176, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "Good job \ud83d\udc4f\ud83c\udffd", "session_id": 3176, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "nice let me grab more", "session_id": 3176, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "Ok", "session_id": 3176, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "D", "session_id": 3176, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "Yes", "session_id": 3176, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "B?", "session_id": 3176, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "Yes, good job", "session_id": 3176, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "E?", "session_id": 3176, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "Yesss \ud83d\ude4c\ud83c\udffd", "session_id": 3176, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "wow im suprised i got that one", "session_id": 3176, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "Good job \ud83d\udc4d\ud83c\udffd", "session_id": 3176, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "almost forgot the rule", "session_id": 3176, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "its c i think", "session_id": 3176, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "Yes", "session_id": 3176, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "You\u2019re correct \ud83d\udc4d\ud83c\udffd\ufe0f", "session_id": 3176, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "im getting E", "session_id": 3176, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "Taylor you\u2019re correct good job \ud83d\udc4f\ud83c\udffd \ud83d\udc4d\ud83c\udffd", "session_id": 3176, "sequence_id": 50, "annotations": [{"pii_type": "PERSON", "surrogate": "Taylor", "start": 0, "end": 6}]}
{"role": "student", "content": "let me grab more", "session_id": 3176, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "Alr go for it", "session_id": 3176, "sequence_id": 52, "annotations": []}
{"role": "student", "content": "-1/2", "session_id": 3176, "sequence_id": 53, "annotations": []}
{"role": "student", "content": "B", "session_id": 3176, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "Oh sorry", "session_id": 3176, "sequence_id": 55, "annotations": []}
{"role": "student", "content": "is it right?", "session_id": 3176, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "No", "session_id": 3176, "sequence_id": 57, "annotations": []}
{"role": "student", "content": "what did i do wrong", "session_id": 3176, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "Not sure it just doesn\u2019t look right I need to solve it again I messed up can u re-insert the problems please", "session_id": 3176, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "I was looking at a different problems sorry \ud83d\ude05", "session_id": 3176, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "You\u2019re correct tho", "session_id": 3176, "sequence_id": 61, "annotations": []}
{"role": "student", "content": "wait so was i right?", "session_id": 3176, "sequence_id": 62, "annotations": []}
{"role": "student", "content": "nice!", "session_id": 3176, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "Taylor", "session_id": 3176, "sequence_id": 64, "annotations": [{"pii_type": "PERSON", "surrogate": "Taylor", "start": 0, "end": 6}]}
{"role": "student", "content": "is this E?", "session_id": 3176, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "Yes \ud83d\udc4f\ud83c\udffd", "session_id": 3176, "sequence_id": 66, "annotations": []}
{"role": "student", "content": "45 is a", "session_id": 3176, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "Yes", "session_id": 3176, "sequence_id": 68, "annotations": []}
{"role": "student", "content": "B", "session_id": 3176, "sequence_id": 69, "annotations": []}
{"role": "student", "content": "made a silly mistake", "session_id": 3176, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "No", "session_id": 3176, "sequence_id": 71, "annotations": []}
{"role": "student", "content": "what did i do wrong", "session_id": 3176, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "Thing", "session_id": 3176, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "It", "session_id": 3176, "sequence_id": 74, "annotations": []}
{"role": "volunteer", "content": "Is", "session_id": 3176, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "Good \ud83d\udc4d\ud83c\udffd", "session_id": 3176, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "You got it right", "session_id": 3176, "sequence_id": 77, "annotations": []}
{"role": "student", "content": "nice!!!", "session_id": 3176, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "Ok I\u2019m going to sleep great job today", "session_id": 3176, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "You got like all of them right", "session_id": 3176, "sequence_id": 80, "annotations": []}
{"role": "student", "content": "thanks for all the help!!", "session_id": 3176, "sequence_id": 81, "annotations": []}
{"role": "volunteer", "content": "Hope you do good on your next test or quiz", "session_id": 3176, "sequence_id": 82, "annotations": []}
{"role": "student", "content": "thanks!", "session_id": 3176, "sequence_id": 83, "annotations": []}
{"role": "volunteer", "content": "\ud83d\udc4b\ud83c\udffd", "session_id": 3176, "sequence_id": 84, "annotations": []}
{"role": "volunteer", "content": "Can you end the session? It doesn\u2019t let me", "session_id": 3176, "sequence_id": 85, "annotations": []}
{"role": "volunteer", "content": "It is a glitch that needs to be fixed", "session_id": 3176, "sequence_id": 86, "annotations": []}
{"role": "volunteer", "content": "Hi, how are you?", "session_id": 3217, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "I put my mic on if you want to put yours on.", "session_id": 3217, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "hellO!", "session_id": 3217, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "i cant have my mic on", "session_id": 3217, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "That's fine, no problem", "session_id": 3217, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "How can I help you", "session_id": 3217, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 3217, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "i need help wtih convergent and divergent", "session_id": 3217, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 3217, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "Well, let's see what we get when we use the rules of integration here.", "session_id": 3217, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "um", "session_id": 3217, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "let's", "session_id": 3217, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "go ahead and try to integrate this and then see what happens to the limits.", "session_id": 3217, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "So, um", "session_id": 3217, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "let me take a minute", "session_id": 3217, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "and look at it carefully", "session_id": 3217, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "i have very bad intuiition when it comes to starting", "session_id": 3217, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 3217, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "So we're gonna, we're gonna rewrite", "session_id": 3217, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "we're gonna, um, rewrite this in with a negative exponent. So let's go ahead and", "session_id": 3217, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "start off", "session_id": 3217, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "by writing it as the integral. Let's not worry about the limits right now.", "session_id": 3217, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "Um.", "session_id": 3217, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "We're going to put the 6 out front", "session_id": 3217, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "and we're gonna call this", "session_id": 3217, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "X + 3.", "session_id": 3217, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "to the -3 halves.", "session_id": 3217, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "DX", "session_id": 3217, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "So all I've done is pull the", "session_id": 3217, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "constant out front", "session_id": 3217, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "I'll let you type in any questions so far.", "session_id": 3217, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "the 1?", "session_id": 3217, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "No, uh, I, I'm purposely am not putting the one there. I made the, the uh exponent negative.", "session_id": 3217, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "ohhhh", "session_id": 3217, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "and I'll show why I did that.", "session_id": 3217, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "i didint see that", "session_id": 3217, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "okok", "session_id": 3217, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "Yeah, we, so we don't want to do the one over, at least the way I'm going to show you. So you can just leave that there. That's fine. So, what we've done is just rewrite, we pulled the 6 out front.", "session_id": 3217, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "it's a constant", "session_id": 3217, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "and", "session_id": 3217, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "I've made the exponent negative.", "session_id": 3217, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "yes", "session_id": 3217, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "Now, you, you're aware of kind of the power rule in reverse that we use.", "session_id": 3217, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "So I'm gonna do this integration", "session_id": 3217, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "keep the 6", "session_id": 3217, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "and", "session_id": 3217, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "I'm going to", "session_id": 3217, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "what is divergent and convergent?", "session_id": 3217, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "add one", "session_id": 3217, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "to the to the fraction up there.", "session_id": 3217, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "So when I add one", "session_id": 3217, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "that will become", "session_id": 3217, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "-13", "session_id": 3217, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "And when I divide by", "session_id": 3217, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "um", "session_id": 3217, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "so you add one", "session_id": 3217, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "be 2/3", "session_id": 3217, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "um", "session_id": 3217, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "I'm sorry, not 13.", "session_id": 3217, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "Let me, let me", "session_id": 3217, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "erase that and", "session_id": 3217, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "fix it", "session_id": 3217, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "a little more", "session_id": 3217, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "readable here", "session_id": 3217, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "What's new this is", "session_id": 3217, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "negative 3", "session_id": 3217, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "halves", "session_id": 3217, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "plus 2 halves.", "session_id": 3217, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "which is", "session_id": 3217, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "-15", "session_id": 3217, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "so", "session_id": 3217, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "um", "session_id": 3217, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "I'm adding one and dividing by", "session_id": 3217, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "-5", "session_id": 3217, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "So that don't give me", "session_id": 3217, "sequence_id": 74, "annotations": []}
{"role": "volunteer", "content": "-2, I believe here. Just bear with me for a second.", "session_id": 3217, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "So let me write this as", "session_id": 3217, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "-12", "session_id": 3217, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "X + 3", "session_id": 3217, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "to the 1/2.", "session_id": 3217, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "So all I've done is, is done the integration", "session_id": 3217, "sequence_id": 80, "annotations": []}
{"role": "volunteer", "content": "If you take the derivative of this", "session_id": 3217, "sequence_id": 81, "annotations": []}
{"role": "student", "content": "where did -2 come from", "session_id": 3217, "sequence_id": 82, "annotations": []}
{"role": "volunteer", "content": "you will see that we get back the original Integrand.", "session_id": 3217, "sequence_id": 83, "annotations": []}
{"role": "volunteer", "content": "OK, I'll show you", "session_id": 3217, "sequence_id": 84, "annotations": []}
{"role": "volunteer", "content": "So when I", "session_id": 3217, "sequence_id": 85, "annotations": []}
{"role": "volunteer", "content": "when I", "session_id": 3217, "sequence_id": 86, "annotations": []}
{"role": "volunteer", "content": "did this, that was -15, OK? When I added the exponent", "session_id": 3217, "sequence_id": 87, "annotations": []}
{"role": "volunteer", "content": "what I do is then is divide by", "session_id": 3217, "sequence_id": 88, "annotations": []}
{"role": "volunteer", "content": "the divide by um", "session_id": 3217, "sequence_id": 89, "annotations": []}
{"role": "volunteer", "content": "the reciprocal", "session_id": 3217, "sequence_id": 90, "annotations": []}
{"role": "volunteer", "content": "I'm dividing by", "session_id": 3217, "sequence_id": 91, "annotations": []}
{"role": "volunteer", "content": "2", "session_id": 3217, "sequence_id": 92, "annotations": []}
{"role": "volunteer", "content": "by, by dividing by 15, which is the same thing as multiplying by 22.", "session_id": 3217, "sequence_id": 93, "annotations": []}
{"role": "volunteer", "content": "So whenever I do an integration", "session_id": 3217, "sequence_id": 94, "annotations": []}
{"role": "volunteer", "content": "I take", "session_id": 3217, "sequence_id": 95, "annotations": []}
{"role": "volunteer", "content": "my exponent result", "session_id": 3217, "sequence_id": 96, "annotations": []}
{"role": "volunteer", "content": "and divide it", "session_id": 3217, "sequence_id": 97, "annotations": []}
{"role": "student", "content": "ohhh okay", "session_id": 3217, "sequence_id": 98, "annotations": []}
{"role": "volunteer", "content": "divide by it", "session_id": 3217, "sequence_id": 99, "annotations": []}
{"role": "volunteer", "content": "So when I divide by 1/2, that's the same thing as multiplying by -2.", "session_id": 3217, "sequence_id": 100, "annotations": []}
{"role": "volunteer", "content": "This is a way to do, to think about how we would do that.", "session_id": 3217, "sequence_id": 101, "annotations": []}
{"role": "student", "content": "wait so neg reciprocal?", "session_id": 3217, "sequence_id": 102, "annotations": []}
{"role": "volunteer", "content": "If you check the result, you'll see", "session_id": 3217, "sequence_id": 103, "annotations": []}
{"role": "volunteer", "content": "if I take the derivative", "session_id": 3217, "sequence_id": 104, "annotations": []}
{"role": "volunteer", "content": "of", "session_id": 3217, "sequence_id": 105, "annotations": []}
{"role": "volunteer", "content": "this function, it would become", "session_id": 3217, "sequence_id": 106, "annotations": []}
{"role": "volunteer", "content": "-15", "session_id": 3217, "sequence_id": 107, "annotations": []}
{"role": "volunteer", "content": "times -12", "session_id": 3217, "sequence_id": 108, "annotations": []}
{"role": "volunteer", "content": "times X + 3", "session_id": 3217, "sequence_id": 109, "annotations": []}
{"role": "student", "content": "okok", "session_id": 3217, "sequence_id": 110, "annotations": []}
{"role": "volunteer", "content": "to the negative 3 halves.", "session_id": 3217, "sequence_id": 111, "annotations": []}
{"role": "volunteer", "content": "In other words, we would get back", "session_id": 3217, "sequence_id": 112, "annotations": []}
{"role": "volunteer", "content": "exactly what we had", "session_id": 3217, "sequence_id": 113, "annotations": []}
{"role": "volunteer", "content": "in the original Integrand.", "session_id": 3217, "sequence_id": 114, "annotations": []}
{"role": "volunteer", "content": "I'm gonna let you ask questions, but so far", "session_id": 3217, "sequence_id": 115, "annotations": []}
{"role": "volunteer", "content": "our result is right here.", "session_id": 3217, "sequence_id": 116, "annotations": []}
{"role": "volunteer", "content": "Put it in that", "session_id": 3217, "sequence_id": 117, "annotations": []}
{"role": "volunteer", "content": "circle", "session_id": 3217, "sequence_id": 118, "annotations": []}
{"role": "volunteer", "content": "Do you see that it is", "session_id": 3217, "sequence_id": 119, "annotations": []}
{"role": "volunteer", "content": "what we would get by integrating.", "session_id": 3217, "sequence_id": 120, "annotations": []}
{"role": "volunteer", "content": "I mean by differentiating", "session_id": 3217, "sequence_id": 121, "annotations": []}
{"role": "student", "content": "yes", "session_id": 3217, "sequence_id": 122, "annotations": []}
{"role": "volunteer", "content": "So you need to be sure that you understand", "session_id": 3217, "sequence_id": 123, "annotations": []}
{"role": "volunteer", "content": "So, so it is the integral. Now the question becomes whether we can apply the limits", "session_id": 3217, "sequence_id": 124, "annotations": []}
{"role": "volunteer", "content": "without it being", "session_id": 3217, "sequence_id": 125, "annotations": []}
{"role": "volunteer", "content": "uh a divergent or not.", "session_id": 3217, "sequence_id": 126, "annotations": []}
{"role": "volunteer", "content": "So I'm gonna go down a little bit further.", "session_id": 3217, "sequence_id": 127, "annotations": []}
{"role": "volunteer", "content": "We have", "session_id": 3217, "sequence_id": 128, "annotations": []}
{"role": "volunteer", "content": "-12", "session_id": 3217, "sequence_id": 129, "annotations": []}
{"role": "volunteer", "content": "X + 3", "session_id": 3217, "sequence_id": 130, "annotations": []}
{"role": "volunteer", "content": "and I'm gonna go back and make it", "session_id": 3217, "sequence_id": 131, "annotations": []}
{"role": "volunteer", "content": "the square root", "session_id": 3217, "sequence_id": 132, "annotations": []}
{"role": "volunteer", "content": "of X + 3.", "session_id": 3217, "sequence_id": 133, "annotations": []}
{"role": "volunteer", "content": "So all I'm doing is writing our answer", "session_id": 3217, "sequence_id": 134, "annotations": []}
{"role": "volunteer", "content": "All I'm doing is writing our answer", "session_id": 3217, "sequence_id": 135, "annotations": []}
{"role": "volunteer", "content": "back in radical notation.", "session_id": 3217, "sequence_id": 136, "annotations": []}
{"role": "student", "content": "errrr", "session_id": 3217, "sequence_id": 137, "annotations": []}
{"role": "volunteer", "content": "and we're supposed to take this from", "session_id": 3217, "sequence_id": 138, "annotations": []}
{"role": "volunteer", "content": "what's the lower limit there? I can't read it.", "session_id": 3217, "sequence_id": 139, "annotations": []}
{"role": "student", "content": "where did that swrt roo come from", "session_id": 3217, "sequence_id": 140, "annotations": []}
{"role": "volunteer", "content": "OK, let me answer your question on the square root.", "session_id": 3217, "sequence_id": 141, "annotations": []}
{"role": "volunteer", "content": "You um", "session_id": 3217, "sequence_id": 142, "annotations": []}
{"role": "volunteer", "content": "you noticed that I, when I did the integral and in the circle here.", "session_id": 3217, "sequence_id": 143, "annotations": []}
{"role": "student", "content": "yes", "session_id": 3217, "sequence_id": 144, "annotations": []}
{"role": "volunteer", "content": "it has a -15", "session_id": 3217, "sequence_id": 145, "annotations": []}
{"role": "volunteer", "content": "exponent, right", "session_id": 3217, "sequence_id": 146, "annotations": []}
{"role": "volunteer", "content": "The -1/Xponent is the same thing as the one over the square root.", "session_id": 3217, "sequence_id": 147, "annotations": []}
{"role": "volunteer", "content": "Do you see that", "session_id": 3217, "sequence_id": 148, "annotations": []}
{"role": "student", "content": "yes", "session_id": 3217, "sequence_id": 149, "annotations": []}
{"role": "volunteer", "content": "I shouldn't have the, I shouldn't have the uh numerator, I'm sorry, this shouldn't be here.", "session_id": 3217, "sequence_id": 150, "annotations": []}
{"role": "volunteer", "content": "That's what's confusing you. Sorry about that.", "session_id": 3217, "sequence_id": 151, "annotations": []}
{"role": "student", "content": "ya", "session_id": 3217, "sequence_id": 152, "annotations": []}
{"role": "volunteer", "content": "I don't know why I put that in there.", "session_id": 3217, "sequence_id": 153, "annotations": []}
{"role": "volunteer", "content": "Is that better", "session_id": 3217, "sequence_id": 154, "annotations": []}
{"role": "student", "content": "yes", "session_id": 3217, "sequence_id": 155, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 3217, "sequence_id": 156, "annotations": []}
{"role": "volunteer", "content": "So now", "session_id": 3217, "sequence_id": 157, "annotations": []}
{"role": "volunteer", "content": "what we need, I can't read the lower limit on the problem. What is the lower limit?", "session_id": 3217, "sequence_id": 158, "annotations": []}
{"role": "volunteer", "content": "I can't read it. It's too small.", "session_id": 3217, "sequence_id": 159, "annotations": []}
{"role": "student", "content": "1", "session_id": 3217, "sequence_id": 160, "annotations": []}
{"role": "volunteer", "content": "One, OK", "session_id": 3217, "sequence_id": 161, "annotations": []}
{"role": "volunteer", "content": "From one to infinity, right?", "session_id": 3217, "sequence_id": 162, "annotations": []}
{"role": "student", "content": "yes", "session_id": 3217, "sequence_id": 163, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 3217, "sequence_id": 164, "annotations": []}
{"role": "volunteer", "content": "So the question becomes", "session_id": 3217, "sequence_id": 165, "annotations": []}
{"role": "volunteer", "content": "what is this evaluate to?", "session_id": 3217, "sequence_id": 166, "annotations": []}
{"role": "volunteer", "content": "And", "session_id": 3217, "sequence_id": 167, "annotations": []}
{"role": "volunteer", "content": "if we", "session_id": 3217, "sequence_id": 168, "annotations": []}
{"role": "volunteer", "content": "let X get very large, our upper limit.", "session_id": 3217, "sequence_id": 169, "annotations": []}
{"role": "volunteer", "content": "We're going to see that", "session_id": 3217, "sequence_id": 170, "annotations": []}
{"role": "volunteer", "content": "this is gonna be", "session_id": 3217, "sequence_id": 171, "annotations": []}
{"role": "volunteer", "content": "one over the square root of a large number which will tend to 0", "session_id": 3217, "sequence_id": 172, "annotations": []}
{"role": "volunteer", "content": "So it'll tend to 0", "session_id": 3217, "sequence_id": 173, "annotations": []}
{"role": "student", "content": "0-6", "session_id": 3217, "sequence_id": 174, "annotations": []}
{"role": "student", "content": "yes", "session_id": 3217, "sequence_id": 175, "annotations": []}
{"role": "volunteer", "content": "if I let X go to Infinity. Oh, it's 0 to 6.", "session_id": 3217, "sequence_id": 176, "annotations": []}
{"role": "student", "content": "its 6", "session_id": 3217, "sequence_id": 177, "annotations": []}
{"role": "volunteer", "content": "I thought it was 0 to Infinity, or 1 to Infinity.", "session_id": 3217, "sequence_id": 178, "annotations": []}
{"role": "volunteer", "content": "Well, I'm looking at our limits and, uh, let me go back up.", "session_id": 3217, "sequence_id": 179, "annotations": []}
{"role": "volunteer", "content": "The limits look like it's one to infinity to me.", "session_id": 3217, "sequence_id": 180, "annotations": []}
{"role": "volunteer", "content": "So I'm going", "session_id": 3217, "sequence_id": 181, "annotations": []}
{"role": "volunteer", "content": "Oh, you're looking at the answer. I'm not, I'm not quite finished yet.", "session_id": 3217, "sequence_id": 182, "annotations": []}
{"role": "volunteer", "content": "So,", "session_id": 3217, "sequence_id": 183, "annotations": []}
{"role": "volunteer", "content": "this will become 0 for the upper limit.", "session_id": 3217, "sequence_id": 184, "annotations": []}
{"role": "volunteer", "content": "minus", "session_id": 3217, "sequence_id": 185, "annotations": []}
{"role": "volunteer", "content": "-12", "session_id": 3217, "sequence_id": 186, "annotations": []}
{"role": "volunteer", "content": "over the square root", "session_id": 3217, "sequence_id": 187, "annotations": []}
{"role": "volunteer", "content": "of", "session_id": 3217, "sequence_id": 188, "annotations": []}
{"role": "volunteer", "content": "4", "session_id": 3217, "sequence_id": 189, "annotations": []}
{"role": "volunteer", "content": "which will equal", "session_id": 3217, "sequence_id": 190, "annotations": []}
{"role": "volunteer", "content": "12/2.", "session_id": 3217, "sequence_id": 191, "annotations": []}
{"role": "volunteer", "content": "which is equal to 6, your answer.", "session_id": 3217, "sequence_id": 192, "annotations": []}
{"role": "student", "content": "yes", "session_id": 3217, "sequence_id": 193, "annotations": []}
{"role": "volunteer", "content": "Does that make sense", "session_id": 3217, "sequence_id": 194, "annotations": []}
{"role": "student", "content": "yessss", "session_id": 3217, "sequence_id": 195, "annotations": []}
{"role": "student", "content": "Sarah", "session_id": 3217, "sequence_id": 196, "annotations": [{"pii_type": "PERSON", "surrogate": "Sarah", "start": 0, "end": 5}]}
{"role": "volunteer", "content": "You're welcome. I hope that helped you.", "session_id": 3217, "sequence_id": 197, "annotations": []}
{"role": "student", "content": "can we work on this?", "session_id": 3217, "sequence_id": 198, "annotations": []}
{"role": "volunteer", "content": "Yeah, I can try another. Sure.", "session_id": 3217, "sequence_id": 199, "annotations": []}
{"role": "volunteer", "content": "OK, I see it now", "session_id": 3217, "sequence_id": 200, "annotations": []}
{"role": "volunteer", "content": "All right", "session_id": 3217, "sequence_id": 201, "annotations": []}
{"role": "volunteer", "content": "So, we have ourselves a little", "session_id": 3217, "sequence_id": 202, "annotations": []}
{"role": "volunteer", "content": "differential equation here, OK?", "session_id": 3217, "sequence_id": 203, "annotations": []}
{"role": "volunteer", "content": "So what we wanna do is we wanna", "session_id": 3217, "sequence_id": 204, "annotations": []}
{"role": "volunteer", "content": "um,", "session_id": 3217, "sequence_id": 205, "annotations": []}
{"role": "volunteer", "content": "see how we can solve for why.", "session_id": 3217, "sequence_id": 206, "annotations": []}
{"role": "volunteer", "content": "as a function", "session_id": 3217, "sequence_id": 207, "annotations": []}
{"role": "volunteer", "content": "and", "session_id": 3217, "sequence_id": 208, "annotations": []}
{"role": "volunteer", "content": "let's see what we can do here. So,", "session_id": 3217, "sequence_id": 209, "annotations": []}
{"role": "volunteer", "content": "we can write this in what we call differential form.", "session_id": 3217, "sequence_id": 210, "annotations": []}
{"role": "volunteer", "content": "We can write", "session_id": 3217, "sequence_id": 211, "annotations": []}
{"role": "volunteer", "content": "DY", "session_id": 3217, "sequence_id": 212, "annotations": []}
{"role": "volunteer", "content": "equals 2 minus Y", "session_id": 3217, "sequence_id": 213, "annotations": []}
{"role": "volunteer", "content": "DX", "session_id": 3217, "sequence_id": 214, "annotations": []}
{"role": "volunteer", "content": "Have you seen that kind of notation before?", "session_id": 3217, "sequence_id": 215, "annotations": []}
{"role": "student", "content": "yes", "session_id": 3217, "sequence_id": 216, "annotations": []}
{"role": "volunteer", "content": "So, OK", "session_id": 3217, "sequence_id": 217, "annotations": []}
{"role": "volunteer", "content": "What we want to do is what we call separating variables", "session_id": 3217, "sequence_id": 218, "annotations": []}
{"role": "volunteer", "content": "So what we'll do is we'll rewrite it as DY", "session_id": 3217, "sequence_id": 219, "annotations": []}
{"role": "volunteer", "content": "over 2 minus Y", "session_id": 3217, "sequence_id": 220, "annotations": []}
{"role": "volunteer", "content": "equals DX", "session_id": 3217, "sequence_id": 221, "annotations": []}
{"role": "volunteer", "content": "We're separating the variables.", "session_id": 3217, "sequence_id": 222, "annotations": []}
{"role": "volunteer", "content": "So far, so good", "session_id": 3217, "sequence_id": 223, "annotations": []}
{"role": "student", "content": "yes", "session_id": 3217, "sequence_id": 224, "annotations": []}
{"role": "volunteer", "content": "All right, now what we're gonna do is we're gonna integrate", "session_id": 3217, "sequence_id": 225, "annotations": []}
{"role": "student", "content": "but how did you know what to do", "session_id": 3217, "sequence_id": 226, "annotations": []}
{"role": "volunteer", "content": "both sides", "session_id": 3217, "sequence_id": 227, "annotations": []}
{"role": "volunteer", "content": "but how do I know what to do?", "session_id": 3217, "sequence_id": 228, "annotations": []}
{"role": "volunteer", "content": "Um, did you", "session_id": 3217, "sequence_id": 229, "annotations": []}
{"role": "student", "content": "cuz that is what i struggle iwth the most", "session_id": 3217, "sequence_id": 230, "annotations": []}
{"role": "volunteer", "content": "have you", "session_id": 3217, "sequence_id": 231, "annotations": []}
{"role": "volunteer", "content": "OK, well, when you have, this is what we call a differential equation, Emily.", "session_id": 3217, "sequence_id": 232, "annotations": [{"pii_type": "PERSON", "surrogate": "Emily", "start": 71, "end": 76}]}
{"role": "volunteer", "content": "And", "session_id": 3217, "sequence_id": 233, "annotations": []}
{"role": "volunteer", "content": "one of the best ways to solve them is if you can separate your variables. You try to get all the wise stuff on one side and all the X stuff on the other.", "session_id": 3217, "sequence_id": 234, "annotations": []}
{"role": "student", "content": "ohhh oaky", "session_id": 3217, "sequence_id": 235, "annotations": []}
{"role": "volunteer", "content": "When you do that, then you can integrate.", "session_id": 3217, "sequence_id": 236, "annotations": []}
{"role": "volunteer", "content": "So it's a, it's a very common method and the most preferred method for trying to solve a differential equation.", "session_id": 3217, "sequence_id": 237, "annotations": []}
{"role": "volunteer", "content": "So,", "session_id": 3217, "sequence_id": 238, "annotations": []}
{"role": "volunteer", "content": "if you can separate your variables on each side, then you can use integration to find out what why of X is going to be.", "session_id": 3217, "sequence_id": 239, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 3217, "sequence_id": 240, "annotations": []}
{"role": "volunteer", "content": "Are you good so far", "session_id": 3217, "sequence_id": 241, "annotations": []}
{"role": "volunteer", "content": "I wanna make sure you're following along with me.", "session_id": 3217, "sequence_id": 242, "annotations": []}
{"role": "student", "content": "yesyse", "session_id": 3217, "sequence_id": 243, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 3217, "sequence_id": 244, "annotations": []}
{"role": "volunteer", "content": "Now, if you recall an integrating", "session_id": 3217, "sequence_id": 245, "annotations": []}
{"role": "volunteer", "content": "this one will in the left side will integrate.", "session_id": 3217, "sequence_id": 246, "annotations": []}
{"role": "volunteer", "content": "to negative LN", "session_id": 3217, "sequence_id": 247, "annotations": []}
{"role": "volunteer", "content": "2 minus Y", "session_id": 3217, "sequence_id": 248, "annotations": []}
{"role": "volunteer", "content": "You may recall the logarithm um", "session_id": 3217, "sequence_id": 249, "annotations": []}
{"role": "volunteer", "content": "this is a form", "session_id": 3217, "sequence_id": 250, "annotations": []}
{"role": "volunteer", "content": "of um", "session_id": 3217, "sequence_id": 251, "annotations": []}
{"role": "volunteer", "content": "integrating a form of DY over an expression.", "session_id": 3217, "sequence_id": 252, "annotations": []}
{"role": "volunteer", "content": "So", "session_id": 3217, "sequence_id": 253, "annotations": []}
{"role": "student", "content": "yes", "session_id": 3217, "sequence_id": 254, "annotations": []}
{"role": "volunteer", "content": "that is what we get on that side, equals X plus some constant.", "session_id": 3217, "sequence_id": 255, "annotations": []}
{"role": "volunteer", "content": "of integration", "session_id": 3217, "sequence_id": 256, "annotations": []}
{"role": "volunteer", "content": "So far so good", "session_id": 3217, "sequence_id": 257, "annotations": []}
{"role": "volunteer", "content": "If you take the derivative of each side of this, what I've gotten you'll get back to the previous", "session_id": 3217, "sequence_id": 258, "annotations": []}
{"role": "volunteer", "content": "step.", "session_id": 3217, "sequence_id": 259, "annotations": []}
{"role": "volunteer", "content": "So on the left side, if you take the derivative of that, you'll get back to what we had.", "session_id": 3217, "sequence_id": 260, "annotations": []}
{"role": "volunteer", "content": "and if you", "session_id": 3217, "sequence_id": 261, "annotations": []}
{"role": "volunteer", "content": "um take the right side, you'll get back to", "session_id": 3217, "sequence_id": 262, "annotations": []}
{"role": "volunteer", "content": "um", "session_id": 3217, "sequence_id": 263, "annotations": []}
{"role": "volunteer", "content": "what we had", "session_id": 3217, "sequence_id": 264, "annotations": []}
{"role": "student", "content": "why is ln negaitve>", "session_id": 3217, "sequence_id": 265, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 3217, "sequence_id": 266, "annotations": []}
{"role": "volunteer", "content": "So", "session_id": 3217, "sequence_id": 267, "annotations": []}
{"role": "volunteer", "content": "um, this negative Y in here", "session_id": 3217, "sequence_id": 268, "annotations": []}
{"role": "volunteer", "content": "right here", "session_id": 3217, "sequence_id": 269, "annotations": []}
{"role": "student", "content": "ah okayu", "session_id": 3217, "sequence_id": 270, "annotations": []}
{"role": "volunteer", "content": "if you don't put the negative there", "session_id": 3217, "sequence_id": 271, "annotations": []}
{"role": "volunteer", "content": "when you take the derivative of it", "session_id": 3217, "sequence_id": 272, "annotations": []}
{"role": "volunteer", "content": "you will be the wrong sign. We can prove that", "session_id": 3217, "sequence_id": 273, "annotations": []}
{"role": "volunteer", "content": "um,", "session_id": 3217, "sequence_id": 274, "annotations": []}
{"role": "volunteer", "content": "if I take the", "session_id": 3217, "sequence_id": 275, "annotations": []}
{"role": "volunteer", "content": "the derivative of the logarithm", "session_id": 3217, "sequence_id": 276, "annotations": []}
{"role": "volunteer", "content": "over here", "session_id": 3217, "sequence_id": 277, "annotations": []}
{"role": "volunteer", "content": "this one", "session_id": 3217, "sequence_id": 278, "annotations": []}
{"role": "volunteer", "content": "right here", "session_id": 3217, "sequence_id": 279, "annotations": []}
{"role": "volunteer", "content": "I would get", "session_id": 3217, "sequence_id": 280, "annotations": []}
{"role": "volunteer", "content": "1/2 minus Y.", "session_id": 3217, "sequence_id": 281, "annotations": []}
{"role": "student", "content": "oh okay", "session_id": 3217, "sequence_id": 282, "annotations": []}
{"role": "volunteer", "content": "Um, and I would I'd have to multiply", "session_id": 3217, "sequence_id": 283, "annotations": []}
{"role": "volunteer", "content": "by 1 because of the chain rule.", "session_id": 3217, "sequence_id": 284, "annotations": []}
{"role": "volunteer", "content": "So the derivative", "session_id": 3217, "sequence_id": 285, "annotations": []}
{"role": "student", "content": "mhm", "session_id": 3217, "sequence_id": 286, "annotations": []}
{"role": "volunteer", "content": "would, would be -1 over 2 minus Y. That's not what we want. We want positive 1/2 minus Y. So this negative is important.", "session_id": 3217, "sequence_id": 287, "annotations": []}
{"role": "volunteer", "content": "to do that", "session_id": 3217, "sequence_id": 288, "annotations": []}
{"role": "volunteer", "content": "It's", "session_id": 3217, "sequence_id": 289, "annotations": []}
{"role": "volunteer", "content": "it's needed because of the chain rule.", "session_id": 3217, "sequence_id": 290, "annotations": []}
{"role": "volunteer", "content": "uh, when we take derivatives.", "session_id": 3217, "sequence_id": 291, "annotations": []}
{"role": "volunteer", "content": "Does that make some sense", "session_id": 3217, "sequence_id": 292, "annotations": []}
{"role": "student", "content": "yes", "session_id": 3217, "sequence_id": 293, "annotations": []}
{"role": "volunteer", "content": "OK. So let's see if we can", "session_id": 3217, "sequence_id": 294, "annotations": []}
{"role": "student", "content": "so we are trying to isolate y", "session_id": 3217, "sequence_id": 295, "annotations": []}
{"role": "volunteer", "content": "let's see if we can simplify this before we plug in our initial condition.", "session_id": 3217, "sequence_id": 296, "annotations": []}
{"role": "volunteer", "content": "Yes, we're gonna try to get why we're gonna try to get Y", "session_id": 3217, "sequence_id": 297, "annotations": []}
{"role": "volunteer", "content": "but we're, we need to take what we're at this step now.", "session_id": 3217, "sequence_id": 298, "annotations": []}
{"role": "volunteer", "content": "Um.", "session_id": 3217, "sequence_id": 299, "annotations": []}
{"role": "volunteer", "content": "so let's see what we wanna do", "session_id": 3217, "sequence_id": 300, "annotations": []}
{"role": "volunteer", "content": "Um", "session_id": 3217, "sequence_id": 301, "annotations": []}
{"role": "volunteer", "content": "let me look at your answers just to see which form they are.", "session_id": 3217, "sequence_id": 302, "annotations": []}
{"role": "volunteer", "content": "All right", "session_id": 3217, "sequence_id": 303, "annotations": []}
{"role": "volunteer", "content": "Um", "session_id": 3217, "sequence_id": 304, "annotations": []}
{"role": "volunteer", "content": "let me see how we wanna do this.", "session_id": 3217, "sequence_id": 305, "annotations": []}
{"role": "volunteer", "content": "I wanna see what the proper way", "session_id": 3217, "sequence_id": 306, "annotations": []}
{"role": "volunteer", "content": "OK, let's um", "session_id": 3217, "sequence_id": 307, "annotations": []}
{"role": "volunteer", "content": "let's go ahead and multiply through by -1. So I'm gonna end up", "session_id": 3217, "sequence_id": 308, "annotations": []}
{"role": "volunteer", "content": "essentially with", "session_id": 3217, "sequence_id": 309, "annotations": []}
{"role": "volunteer", "content": "2 minus Y", "session_id": 3217, "sequence_id": 310, "annotations": []}
{"role": "volunteer", "content": "equals", "session_id": 3217, "sequence_id": 311, "annotations": []}
{"role": "volunteer", "content": "C minus X. I don't know if this will work.", "session_id": 3217, "sequence_id": 312, "annotations": []}
{"role": "volunteer", "content": "Yeah.", "session_id": 3217, "sequence_id": 313, "annotations": []}
{"role": "volunteer", "content": "So all I've done is", "session_id": 3217, "sequence_id": 314, "annotations": []}
{"role": "volunteer", "content": "is multiply", "session_id": 3217, "sequence_id": 315, "annotations": []}
{"role": "volunteer", "content": "That's LN I'm sorry. LN of 2 Y minus Y equals C minus X", "session_id": 3217, "sequence_id": 316, "annotations": []}
{"role": "volunteer", "content": "So all I'm doing is multiplying by -1.", "session_id": 3217, "sequence_id": 317, "annotations": []}
{"role": "volunteer", "content": "and now I'm gonna ex exponentiate each side.", "session_id": 3217, "sequence_id": 318, "annotations": []}
{"role": "volunteer", "content": "I'm gonna", "session_id": 3217, "sequence_id": 319, "annotations": []}
{"role": "volunteer", "content": "I'm gonna bring it each side to a power of E, which will leave me with 2 minus Y equals E to the C minus X", "session_id": 3217, "sequence_id": 320, "annotations": []}
{"role": "volunteer", "content": "Do you see that", "session_id": 3217, "sequence_id": 321, "annotations": []}
{"role": "volunteer", "content": "That's a way of simplifying this is to exponentiate each side. That's to undo the logarithm and make an exponential out of it.", "session_id": 3217, "sequence_id": 322, "annotations": []}
{"role": "student", "content": "yup", "session_id": 3217, "sequence_id": 323, "annotations": []}
{"role": "volunteer", "content": "Let me know if you have questions or I can finish it off. Let's finish it off and see what happens.", "session_id": 3217, "sequence_id": 324, "annotations": []}
{"role": "volunteer", "content": "Sometimes the answers come out looking funny.", "session_id": 3217, "sequence_id": 325, "annotations": []}
{"role": "volunteer", "content": "Now I'm just going to", "session_id": 3217, "sequence_id": 326, "annotations": []}
{"role": "volunteer", "content": "isolate why", "session_id": 3217, "sequence_id": 327, "annotations": []}
{"role": "volunteer", "content": "and I'm gonna multiply by -1.", "session_id": 3217, "sequence_id": 328, "annotations": []}
{"role": "volunteer", "content": "and I get 2", "session_id": 3217, "sequence_id": 329, "annotations": []}
{"role": "volunteer", "content": "minus E to the C minus X", "session_id": 3217, "sequence_id": 330, "annotations": []}
{"role": "volunteer", "content": "All right, now we have some initial conditions.", "session_id": 3217, "sequence_id": 331, "annotations": []}
{"role": "volunteer", "content": "um,", "session_id": 3217, "sequence_id": 332, "annotations": []}
{"role": "volunteer", "content": "that were given", "session_id": 3217, "sequence_id": 333, "annotations": []}
{"role": "volunteer", "content": "so that we can determine that constant", "session_id": 3217, "sequence_id": 334, "annotations": []}
{"role": "volunteer", "content": "And they say when X equals 1, Y equals 1.", "session_id": 3217, "sequence_id": 335, "annotations": []}
{"role": "volunteer", "content": "So if we plug in the initial condition, we get one.", "session_id": 3217, "sequence_id": 336, "annotations": []}
{"role": "volunteer", "content": "equals 2 minus", "session_id": 3217, "sequence_id": 337, "annotations": []}
{"role": "volunteer", "content": "E", "session_id": 3217, "sequence_id": 338, "annotations": []}
{"role": "volunteer", "content": "to the 1 minus 1.", "session_id": 3217, "sequence_id": 339, "annotations": []}
{"role": "volunteer", "content": "I believe", "session_id": 3217, "sequence_id": 340, "annotations": []}
{"role": "volunteer", "content": "If we multiply", "session_id": 3217, "sequence_id": 341, "annotations": []}
{"role": "volunteer", "content": "I mean, if we plug that in", "session_id": 3217, "sequence_id": 342, "annotations": []}
{"role": "volunteer", "content": "So we're trying to solve for", "session_id": 3217, "sequence_id": 343, "annotations": []}
{"role": "volunteer", "content": "trying to solve or see, and we see that C", "session_id": 3217, "sequence_id": 344, "annotations": []}
{"role": "volunteer", "content": "equals 1 will work.", "session_id": 3217, "sequence_id": 345, "annotations": []}
{"role": "volunteer", "content": "If we have C equals 1.", "session_id": 3217, "sequence_id": 346, "annotations": []}
{"role": "volunteer", "content": "then", "session_id": 3217, "sequence_id": 347, "annotations": []}
{"role": "volunteer", "content": "we will balance this equation because E to the 0 is 1.", "session_id": 3217, "sequence_id": 348, "annotations": []}
{"role": "volunteer", "content": "So, C is equal to 1", "session_id": 3217, "sequence_id": 349, "annotations": []}
{"role": "volunteer", "content": "I'll, let me write down the answer and then we'll go back over any problems you're having. So our answer should be", "session_id": 3217, "sequence_id": 350, "annotations": []}
{"role": "student", "content": "how do yk c is 1", "session_id": 3217, "sequence_id": 351, "annotations": []}
{"role": "volunteer", "content": "Y equals 2 minus", "session_id": 3217, "sequence_id": 352, "annotations": []}
{"role": "volunteer", "content": "E to the 1 minus X.", "session_id": 3217, "sequence_id": 353, "annotations": []}
{"role": "volunteer", "content": "And we'll see", "session_id": 3217, "sequence_id": 354, "annotations": []}
{"role": "volunteer", "content": "that", "session_id": 3217, "sequence_id": 355, "annotations": []}
{"role": "volunteer", "content": "B", "session_id": 3217, "sequence_id": 356, "annotations": []}
{"role": "volunteer", "content": "is the choice we're given. Now, I'm gonna let you ask questions from anything", "session_id": 3217, "sequence_id": 357, "annotations": []}
{"role": "volunteer", "content": "um,", "session_id": 3217, "sequence_id": 358, "annotations": []}
{"role": "student", "content": "wait i dont get it", "session_id": 3217, "sequence_id": 359, "annotations": []}
{"role": "volunteer", "content": "you don't get the part about the sea.", "session_id": 3217, "sequence_id": 360, "annotations": []}
{"role": "volunteer", "content": "So,", "session_id": 3217, "sequence_id": 361, "annotations": []}
{"role": "volunteer", "content": "do you follow", "session_id": 3217, "sequence_id": 362, "annotations": []}
{"role": "volunteer", "content": "do you follow", "session_id": 3217, "sequence_id": 363, "annotations": []}
{"role": "volunteer", "content": "the, the circle", "session_id": 3217, "sequence_id": 364, "annotations": []}
{"role": "volunteer", "content": "equation here that I circle.", "session_id": 3217, "sequence_id": 365, "annotations": []}
{"role": "student", "content": "yes", "session_id": 3217, "sequence_id": 366, "annotations": []}
{"role": "volunteer", "content": "All right, all I did was I put X equals 1 and y equals 1.", "session_id": 3217, "sequence_id": 367, "annotations": []}
{"role": "volunteer", "content": "In that equation", "session_id": 3217, "sequence_id": 368, "annotations": []}
{"role": "volunteer", "content": "because that's the initial conditions that we were given.", "session_id": 3217, "sequence_id": 369, "annotations": []}
{"role": "volunteer", "content": "So when I did that, Y equals 1, give me that.", "session_id": 3217, "sequence_id": 370, "annotations": []}
{"role": "volunteer", "content": "and X equals 1 gave me this over here.", "session_id": 3217, "sequence_id": 371, "annotations": []}
{"role": "volunteer", "content": "right there", "session_id": 3217, "sequence_id": 372, "annotations": []}
{"role": "volunteer", "content": "So, I'm ended, I end up with an equation, one equals", "session_id": 3217, "sequence_id": 373, "annotations": []}
{"role": "volunteer", "content": "2 minus E to the C minus 1.", "session_id": 3217, "sequence_id": 374, "annotations": []}
{"role": "volunteer", "content": "And I can solve for C and see that it must be equal to one.", "session_id": 3217, "sequence_id": 375, "annotations": []}
{"role": "volunteer", "content": "for that to work", "session_id": 3217, "sequence_id": 376, "annotations": []}
{"role": "volunteer", "content": "If C is 1, we get E to the 0", "session_id": 3217, "sequence_id": 377, "annotations": []}
{"role": "volunteer", "content": "and E to the 0 is 1.", "session_id": 3217, "sequence_id": 378, "annotations": []}
{"role": "student", "content": "wait i dont get how c is 1", "session_id": 3217, "sequence_id": 379, "annotations": []}
{"role": "volunteer", "content": "So 1 equals 2 minus 1, so that balances. So C must be equal to 1.", "session_id": 3217, "sequence_id": 380, "annotations": []}
{"role": "volunteer", "content": "All right, let's go back over it again.", "session_id": 3217, "sequence_id": 381, "annotations": []}
{"role": "volunteer", "content": "Do you follow", "session_id": 3217, "sequence_id": 382, "annotations": []}
{"role": "volunteer", "content": "this where I plugged in one and one.", "session_id": 3217, "sequence_id": 383, "annotations": []}
{"role": "student", "content": "yed", "session_id": 3217, "sequence_id": 384, "annotations": []}
{"role": "volunteer", "content": "All right", "session_id": 3217, "sequence_id": 385, "annotations": []}
{"role": "volunteer", "content": "Look at that equation. It says 1 equals 2 minus", "session_id": 3217, "sequence_id": 386, "annotations": []}
{"role": "volunteer", "content": "something", "session_id": 3217, "sequence_id": 387, "annotations": []}
{"role": "volunteer", "content": "right", "session_id": 3217, "sequence_id": 388, "annotations": []}
{"role": "student", "content": "ya", "session_id": 3217, "sequence_id": 389, "annotations": []}
{"role": "volunteer", "content": "That's something has to be won.", "session_id": 3217, "sequence_id": 390, "annotations": []}
{"role": "volunteer", "content": "for this to work", "session_id": 3217, "sequence_id": 391, "annotations": []}
{"role": "student", "content": "ohhhhh", "session_id": 3217, "sequence_id": 392, "annotations": []}
{"role": "student", "content": "OHHHH", "session_id": 3217, "sequence_id": 393, "annotations": []}
{"role": "volunteer", "content": "And if that's something is won, then C must be one.", "session_id": 3217, "sequence_id": 394, "annotations": []}
{"role": "student", "content": "so either way", "session_id": 3217, "sequence_id": 395, "annotations": []}
{"role": "student", "content": "c has to be 1", "session_id": 3217, "sequence_id": 396, "annotations": []}
{"role": "volunteer", "content": "because either of the 0 is 1.", "session_id": 3217, "sequence_id": 397, "annotations": []}
{"role": "volunteer", "content": "E 0", "session_id": 3217, "sequence_id": 398, "annotations": []}
{"role": "volunteer", "content": "So, that's why C equals 1.", "session_id": 3217, "sequence_id": 399, "annotations": []}
{"role": "volunteer", "content": "C has to be 1, right? When you plug that back in to what we solved, this is what you get for your answer.", "session_id": 3217, "sequence_id": 400, "annotations": []}
{"role": "volunteer", "content": "That is the solution of the differential equation with the initial conditions given.", "session_id": 3217, "sequence_id": 401, "annotations": []}
{"role": "volunteer", "content": "And if you wanted to, you could go back through and", "session_id": 3217, "sequence_id": 402, "annotations": []}
{"role": "volunteer", "content": "take the derivative and plug it all back into the original equation and it should work.", "session_id": 3217, "sequence_id": 403, "annotations": []}
{"role": "volunteer", "content": "I'm sure it must seem strange to you, but this is", "session_id": 3217, "sequence_id": 404, "annotations": []}
{"role": "volunteer", "content": "the process", "session_id": 3217, "sequence_id": 405, "annotations": []}
{"role": "student", "content": "how did yhid turn into 1", "session_id": 3217, "sequence_id": 406, "annotations": []}
{"role": "volunteer", "content": "How did I turn", "session_id": 3217, "sequence_id": 407, "annotations": []}
{"role": "volunteer", "content": "so", "session_id": 3217, "sequence_id": 408, "annotations": []}
{"role": "volunteer", "content": "how did I turn into one,", "session_id": 3217, "sequence_id": 409, "annotations": []}
{"role": "volunteer", "content": "X is not one, it the C is one.", "session_id": 3217, "sequence_id": 410, "annotations": []}
{"role": "student", "content": "Sarah", "session_id": 3217, "sequence_id": 411, "annotations": [{"pii_type": "PERSON", "surrogate": "Sarah", "start": 0, "end": 5}]}
{"role": "volunteer", "content": "And then if you go back to the equation up here where I my pen is right now", "session_id": 3217, "sequence_id": 412, "annotations": []}
{"role": "volunteer", "content": "That's the solution", "session_id": 3217, "sequence_id": 413, "annotations": []}
{"role": "volunteer", "content": "and we put in the one that we've solved for from the initial conditions and that gave us the final answer", "session_id": 3217, "sequence_id": 414, "annotations": []}
{"role": "volunteer", "content": "So the equation that so for C equals 1 is just to find out what C is.", "session_id": 3217, "sequence_id": 415, "annotations": []}
{"role": "volunteer", "content": "Once we have C, we put it in.", "session_id": 3217, "sequence_id": 416, "annotations": []}
{"role": "volunteer", "content": "back into our solution, and we get the 1 minus X.", "session_id": 3217, "sequence_id": 417, "annotations": []}
{"role": "student", "content": "okay!", "session_id": 3217, "sequence_id": 418, "annotations": []}
{"role": "volunteer", "content": "I hope", "session_id": 3217, "sequence_id": 419, "annotations": []}
{"role": "volunteer", "content": "I hope each step makes sense. It's difficult when, when you're first learning.", "session_id": 3217, "sequence_id": 420, "annotations": []}
{"role": "student", "content": "can we work on this one? can you pls go slow", "session_id": 3217, "sequence_id": 421, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 3217, "sequence_id": 422, "annotations": []}
{"role": "volunteer", "content": "I'm sorry if I'm moving too fast. I'm, I, I apologize.", "session_id": 3217, "sequence_id": 423, "annotations": []}
{"role": "student", "content": "idk anyhting abt it", "session_id": 3217, "sequence_id": 424, "annotations": []}
{"role": "student", "content": "yes its okay", "session_id": 3217, "sequence_id": 425, "annotations": []}
{"role": "volunteer", "content": "I understand", "session_id": 3217, "sequence_id": 426, "annotations": []}
{"role": "volunteer", "content": "Yeah, I might not be sure myself about some things. I", "session_id": 3217, "sequence_id": 427, "annotations": []}
{"role": "volunteer", "content": "I'll do my best to work slow.", "session_id": 3217, "sequence_id": 428, "annotations": []}
{"role": "volunteer", "content": "So let me read this", "session_id": 3217, "sequence_id": 429, "annotations": []}
{"role": "student", "content": "okayyy", "session_id": 3217, "sequence_id": 430, "annotations": []}
{"role": "student", "content": "can you help me with intuition", "session_id": 3217, "sequence_id": 431, "annotations": []}
{"role": "student", "content": "tho", "session_id": 3217, "sequence_id": 432, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 3217, "sequence_id": 433, "annotations": []}
{"role": "volunteer", "content": "So when we", "session_id": 3217, "sequence_id": 434, "annotations": []}
{"role": "volunteer", "content": "yeah, can I help with the intuition, though, yes.", "session_id": 3217, "sequence_id": 435, "annotations": []}
{"role": "volunteer", "content": "So when we have, we have a problem here that's in polar coordinates, Emily.", "session_id": 3217, "sequence_id": 436, "annotations": [{"pii_type": "PERSON", "surrogate": "Emily", "start": 69, "end": 74}]}
{"role": "volunteer", "content": "OK", "session_id": 3217, "sequence_id": 437, "annotations": []}
{"role": "volunteer", "content": "Polar coordinates, it's not rectangular coordinates like our last problem was.", "session_id": 3217, "sequence_id": 438, "annotations": []}
{"role": "volunteer", "content": "So", "session_id": 3217, "sequence_id": 439, "annotations": []}
{"role": "volunteer", "content": "when we have polar coordinates, we have to use a little different method.", "session_id": 3217, "sequence_id": 440, "annotations": []}
{"role": "volunteer", "content": "The area between curves is generally given as", "session_id": 3217, "sequence_id": 441, "annotations": []}
{"role": "volunteer", "content": "um", "session_id": 3217, "sequence_id": 442, "annotations": []}
{"role": "volunteer", "content": "like area", "session_id": 3217, "sequence_id": 443, "annotations": []}
{"role": "volunteer", "content": "equal 1/2", "session_id": 3217, "sequence_id": 444, "annotations": []}
{"role": "volunteer", "content": "the integral of 1/2.", "session_id": 3217, "sequence_id": 445, "annotations": []}
{"role": "volunteer", "content": "R2D theta.", "session_id": 3217, "sequence_id": 446, "annotations": []}
{"role": "volunteer", "content": "I'm sorry, I", "session_id": 3217, "sequence_id": 447, "annotations": []}
{"role": "volunteer", "content": "need to write that better", "session_id": 3217, "sequence_id": 448, "annotations": []}
{"role": "volunteer", "content": "fix that", "session_id": 3217, "sequence_id": 449, "annotations": []}
{"role": "volunteer", "content": "So", "session_id": 3217, "sequence_id": 450, "annotations": []}
{"role": "volunteer", "content": "in general, the area", "session_id": 3217, "sequence_id": 451, "annotations": []}
{"role": "volunteer", "content": "of determined", "session_id": 3217, "sequence_id": 452, "annotations": []}
{"role": "volunteer", "content": "with polar coordinates", "session_id": 3217, "sequence_id": 453, "annotations": []}
{"role": "volunteer", "content": "is dealt with, with this formula in general, 1/2 R2d theta.", "session_id": 3217, "sequence_id": 454, "annotations": []}
{"role": "volunteer", "content": "and R", "session_id": 3217, "sequence_id": 455, "annotations": []}
{"role": "volunteer", "content": "um R is the F theta and G of theta shown.", "session_id": 3217, "sequence_id": 456, "annotations": []}
{"role": "volunteer", "content": "So, and the problem, there's a F theta and a and a uh I'm sorry, epitheta and then", "session_id": 3217, "sequence_id": 457, "annotations": []}
{"role": "volunteer", "content": "G of theta", "session_id": 3217, "sequence_id": 458, "annotations": []}
{"role": "volunteer", "content": "So that is going to be", "session_id": 3217, "sequence_id": 459, "annotations": []}
{"role": "volunteer", "content": "the function that we're interested in plugging in", "session_id": 3217, "sequence_id": 460, "annotations": []}
{"role": "volunteer", "content": "right here for our squared, OK?", "session_id": 3217, "sequence_id": 461, "annotations": []}
{"role": "volunteer", "content": "And we're looking at the difference between curves. So that's why we're going to be subtracting", "session_id": 3217, "sequence_id": 462, "annotations": []}
{"role": "volunteer", "content": "to get that area", "session_id": 3217, "sequence_id": 463, "annotations": []}
{"role": "volunteer", "content": "So what we're doing is we're taking", "session_id": 3217, "sequence_id": 464, "annotations": []}
{"role": "volunteer", "content": "um", "session_id": 3217, "sequence_id": 465, "annotations": []}
{"role": "volunteer", "content": "I gotta figure out which one comes first here.", "session_id": 3217, "sequence_id": 466, "annotations": []}
{"role": "volunteer", "content": "Looks like they're all taking G minus", "session_id": 3217, "sequence_id": 467, "annotations": []}
{"role": "volunteer", "content": "F.", "session_id": 3217, "sequence_id": 468, "annotations": []}
{"role": "student", "content": "wait this is polar coordinates? i ahvent done that yet", "session_id": 3217, "sequence_id": 469, "annotations": []}
{"role": "volunteer", "content": "which kind of makes sense", "session_id": 3217, "sequence_id": 470, "annotations": []}
{"role": "volunteer", "content": "Yeah, so", "session_id": 3217, "sequence_id": 471, "annotations": []}
{"role": "volunteer", "content": "um", "session_id": 3217, "sequence_id": 472, "annotations": []}
{"role": "student", "content": "wait so i dont need to study this", "session_id": 3217, "sequence_id": 473, "annotations": []}
{"role": "volunteer", "content": "let me look at this for a minute. It looks like", "session_id": 3217, "sequence_id": 474, "annotations": []}
{"role": "volunteer", "content": "you don't need to study this", "session_id": 3217, "sequence_id": 475, "annotations": []}
{"role": "student", "content": "is this like chatper 9", "session_id": 3217, "sequence_id": 476, "annotations": []}
{"role": "student", "content": "of calc bc", "session_id": 3217, "sequence_id": 477, "annotations": []}
{"role": "volunteer", "content": "OK, um, I don't know, I, I'm not a teacher, but it is, looks like it is calculus BC to me. It's", "session_id": 3217, "sequence_id": 478, "annotations": []}
{"role": "volunteer", "content": "more advanced calculus.", "session_id": 3217, "sequence_id": 479, "annotations": []}
{"role": "volunteer", "content": "So, uh, if we don't need to do this, that would be great.", "session_id": 3217, "sequence_id": 480, "annotations": []}
{"role": "student", "content": "i think ik how to do this", "session_id": 3217, "sequence_id": 481, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 3217, "sequence_id": 482, "annotations": []}
{"role": "student", "content": "so you isolate and put the n on the outside", "session_id": 3217, "sequence_id": 483, "annotations": []}
{"role": "student", "content": "and if its less than it converges?", "session_id": 3217, "sequence_id": 484, "annotations": []}
{"role": "volunteer", "content": "Um", "session_id": 3217, "sequence_id": 485, "annotations": []}
{"role": "volunteer", "content": "so we're looking for something", "session_id": 3217, "sequence_id": 486, "annotations": []}
{"role": "volunteer", "content": "where each term gets smaller.", "session_id": 3217, "sequence_id": 487, "annotations": []}
{"role": "volunteer", "content": "in absolute value", "session_id": 3217, "sequence_id": 488, "annotations": []}
{"role": "volunteer", "content": "um,", "session_id": 3217, "sequence_id": 489, "annotations": []}
{"role": "student", "content": "less than 1?", "session_id": 3217, "sequence_id": 490, "annotations": []}
{"role": "volunteer", "content": "So, one thing is, um, alternating series is always converge", "session_id": 3217, "sequence_id": 491, "annotations": []}
{"role": "volunteer", "content": "Yes.", "session_id": 3217, "sequence_id": 492, "annotations": []}
{"role": "volunteer", "content": "So, so one thing, you have an alternating series here.", "session_id": 3217, "sequence_id": 493, "annotations": []}
{"role": "volunteer", "content": "meaning that every other term is positive and negative, OK?", "session_id": 3217, "sequence_id": 494, "annotations": []}
{"role": "student", "content": "errr okay", "session_id": 3217, "sequence_id": 495, "annotations": []}
{"role": "volunteer", "content": "So when you have an alternating series, as long as what you're alternating with", "session_id": 3217, "sequence_id": 496, "annotations": []}
{"role": "volunteer", "content": "gets smaller and smaller than that should converge.", "session_id": 3217, "sequence_id": 497, "annotations": []}
{"role": "volunteer", "content": "So they're all alternating because", "session_id": 3217, "sequence_id": 498, "annotations": []}
{"role": "volunteer", "content": "every time you", "session_id": 3217, "sequence_id": 499, "annotations": []}
{"role": "volunteer", "content": "change in, it'll become either negative or positive. It'll start out negative, then go positive, negative, positive. So that's what we call alternating.", "session_id": 3217, "sequence_id": 500, "annotations": []}
{"role": "volunteer", "content": "Which one of these, however,", "session_id": 3217, "sequence_id": 501, "annotations": []}
{"role": "volunteer", "content": "is getting smaller and smaller as N gets larger and larger.", "session_id": 3217, "sequence_id": 502, "annotations": []}
{"role": "volunteer", "content": "Well,", "session_id": 3217, "sequence_id": 503, "annotations": []}
{"role": "volunteer", "content": "let's look at this. The first one that's not happening.", "session_id": 3217, "sequence_id": 504, "annotations": []}
{"role": "volunteer", "content": "um,", "session_id": 3217, "sequence_id": 505, "annotations": []}
{"role": "volunteer", "content": "uh, I shouldn't say that", "session_id": 3217, "sequence_id": 506, "annotations": []}
{"role": "volunteer", "content": "um,", "session_id": 3217, "sequence_id": 507, "annotations": []}
{"role": "volunteer", "content": "let me, let me look at this for a minute and see which ones make sense.", "session_id": 3217, "sequence_id": 508, "annotations": []}
{"role": "volunteer", "content": "So, let's, let's look at this one for a second, the last one.", "session_id": 3217, "sequence_id": 509, "annotations": []}
{"role": "volunteer", "content": "If you look at that", "session_id": 3217, "sequence_id": 510, "annotations": []}
{"role": "volunteer", "content": "for each N", "session_id": 3217, "sequence_id": 511, "annotations": []}
{"role": "volunteer", "content": "it does", "session_id": 3217, "sequence_id": 512, "annotations": []}
{"role": "volunteer", "content": "it, it um", "session_id": 3217, "sequence_id": 513, "annotations": []}
{"role": "volunteer", "content": "I", "session_id": 3217, "sequence_id": 514, "annotations": []}
{"role": "volunteer", "content": "I take that back", "session_id": 3217, "sequence_id": 515, "annotations": []}
{"role": "volunteer", "content": "Give me a minute to look at this so I can see which one makes sense to me.", "session_id": 3217, "sequence_id": 516, "annotations": []}
{"role": "student", "content": "wait can you do the math", "session_id": 3217, "sequence_id": 517, "annotations": []}
{"role": "volunteer", "content": "Yes, I will", "session_id": 3217, "sequence_id": 518, "annotations": []}
{"role": "student", "content": "how do you know the first one istn?", "session_id": 3217, "sequence_id": 519, "annotations": []}
{"role": "volunteer", "content": "How do I know the first one is what?", "session_id": 3217, "sequence_id": 520, "annotations": []}
{"role": "student", "content": "isnt", "session_id": 3217, "sequence_id": 521, "annotations": []}
{"role": "volunteer", "content": "I don't yet", "session_id": 3217, "sequence_id": 522, "annotations": []}
{"role": "volunteer", "content": "I don't", "session_id": 3217, "sequence_id": 523, "annotations": []}
{"role": "student", "content": "ohhhh", "session_id": 3217, "sequence_id": 524, "annotations": []}
{"role": "volunteer", "content": "So, I, I need a minute. Let me give me a minute to look at these and make sense out of it, please.", "session_id": 3217, "sequence_id": 525, "annotations": []}
{"role": "volunteer", "content": "So.", "session_id": 3217, "sequence_id": 526, "annotations": []}
{"role": "student", "content": "okok", "session_id": 3217, "sequence_id": 527, "annotations": []}
{"role": "volunteer", "content": "0", "session_id": 3217, "sequence_id": 528, "annotations": []}
{"role": "volunteer", "content": "3.", "session_id": 3217, "sequence_id": 529, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 3217, "sequence_id": 530, "annotations": []}
{"role": "volunteer", "content": "So if I look at the first one", "session_id": 3217, "sequence_id": 531, "annotations": []}
{"role": "volunteer", "content": "let's write out the first few terms of the first one.", "session_id": 3217, "sequence_id": 532, "annotations": []}
{"role": "volunteer", "content": "This one right here", "session_id": 3217, "sequence_id": 533, "annotations": []}
{"role": "volunteer", "content": "Um.", "session_id": 3217, "sequence_id": 534, "annotations": []}
{"role": "volunteer", "content": "this one right here", "session_id": 3217, "sequence_id": 535, "annotations": []}
{"role": "volunteer", "content": "If I start plugging in", "session_id": 3217, "sequence_id": 536, "annotations": []}
{"role": "volunteer", "content": "what I'm gonna get for N equals 1 is", "session_id": 3217, "sequence_id": 537, "annotations": []}
{"role": "volunteer", "content": "0", "session_id": 3217, "sequence_id": 538, "annotations": []}
{"role": "volunteer", "content": "When I put N equals 1", "session_id": 3217, "sequence_id": 539, "annotations": []}
{"role": "volunteer", "content": "I get negative, 0. When I put N equals 2,", "session_id": 3217, "sequence_id": 540, "annotations": []}
{"role": "volunteer", "content": "I get plus", "session_id": 3217, "sequence_id": 541, "annotations": []}
{"role": "volunteer", "content": "5", "session_id": 3217, "sequence_id": 542, "annotations": []}
{"role": "volunteer", "content": "and then when I", "session_id": 3217, "sequence_id": 543, "annotations": []}
{"role": "volunteer", "content": "put in N equals 3.", "session_id": 3217, "sequence_id": 544, "annotations": []}
{"role": "volunteer", "content": "I get minus", "session_id": 3217, "sequence_id": 545, "annotations": []}
{"role": "volunteer", "content": "uh, put any equal, I'm sorry, this should have been positive 1/2", "session_id": 3217, "sequence_id": 546, "annotations": []}
{"role": "volunteer", "content": "Let me, let me fix this", "session_id": 3217, "sequence_id": 547, "annotations": []}
{"role": "volunteer", "content": "All right. I'm just putting in the first few terms to, to see what happens with the series. N equals 0", "session_id": 3217, "sequence_id": 548, "annotations": []}
{"role": "volunteer", "content": "I get 0.", "session_id": 3217, "sequence_id": 549, "annotations": []}
{"role": "volunteer", "content": "N equals", "session_id": 3217, "sequence_id": 550, "annotations": []}
{"role": "volunteer", "content": "I'm sorry, N equals 1, I get 0.", "session_id": 3217, "sequence_id": 551, "annotations": []}
{"role": "volunteer", "content": "N equals 2", "session_id": 3217, "sequence_id": 552, "annotations": []}
{"role": "volunteer", "content": "I get plus", "session_id": 3217, "sequence_id": 553, "annotations": []}
{"role": "volunteer", "content": "and then 2 will give me", "session_id": 3217, "sequence_id": 554, "annotations": []}
{"role": "volunteer", "content": "-1 over over 2. So, -1", "session_id": 3217, "sequence_id": 555, "annotations": []}
{"role": "volunteer", "content": "-1 over 2.", "session_id": 3217, "sequence_id": 556, "annotations": []}
{"role": "volunteer", "content": "When I put in N equals 3, I get minus.", "session_id": 3217, "sequence_id": 557, "annotations": []}
{"role": "volunteer", "content": "and it'll be negative", "session_id": 3217, "sequence_id": 558, "annotations": []}
{"role": "volunteer", "content": "2", "session_id": 3217, "sequence_id": 559, "annotations": []}
{"role": "volunteer", "content": "over 3", "session_id": 3217, "sequence_id": 560, "annotations": []}
{"role": "volunteer", "content": "Now, look what's happening to this one.", "session_id": 3217, "sequence_id": 561, "annotations": []}
{"role": "student", "content": "why are you plugging in stuff?", "session_id": 3217, "sequence_id": 562, "annotations": []}
{"role": "volunteer", "content": "It's the, the numbers are getting bigger", "session_id": 3217, "sequence_id": 563, "annotations": []}
{"role": "student", "content": "sorry i dont get aynthihg", "session_id": 3217, "sequence_id": 564, "annotations": []}
{"role": "volunteer", "content": "All right.", "session_id": 3217, "sequence_id": 565, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 3217, "sequence_id": 566, "annotations": []}
{"role": "volunteer", "content": "Um, I might not be the best one to help you with this because if you have to", "session_id": 3217, "sequence_id": 567, "annotations": []}
{"role": "volunteer", "content": "I, I'm trying to explain it my way, but you may be learning something different in class.", "session_id": 3217, "sequence_id": 568, "annotations": []}
{"role": "volunteer", "content": "So I'm, I", "session_id": 3217, "sequence_id": 569, "annotations": []}
{"role": "volunteer", "content": "I'm trying to", "session_id": 3217, "sequence_id": 570, "annotations": []}
{"role": "volunteer", "content": "present how I would solve it.", "session_id": 3217, "sequence_id": 571, "annotations": []}
{"role": "volunteer", "content": "Um.", "session_id": 3217, "sequence_id": 572, "annotations": []}
{"role": "volunteer", "content": "but I find that putting in a few terms of the series helps me understand it.", "session_id": 3217, "sequence_id": 573, "annotations": []}
{"role": "student", "content": "wait i have to go thank you for all the help", "session_id": 3217, "sequence_id": 574, "annotations": []}
{"role": "volunteer", "content": "All right, bye", "session_id": 3217, "sequence_id": 575, "annotations": []}
{"role": "student", "content": "ty!", "session_id": 3217, "sequence_id": 576, "annotations": []}
{"role": "student", "content": "Hello!", "session_id": 3252, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "hi", "session_id": 3252, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "Today I have an algerba 2 exam", "session_id": 3252, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "and I don't have a study guide yet I am supposed to to finish it tommrow", "session_id": 3252, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "I finished half of it", "session_id": 3252, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "But", "session_id": 3252, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "Now I need help with", "session_id": 3252, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "Preparing to finish it", "session_id": 3252, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "I did catch the topics", "session_id": 3252, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "So, the first one is", "session_id": 3252, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "First, I want to work on Average rate of change in Algerba 2", "session_id": 3252, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "I don't have any materil, I did but I had to turn it in", "session_id": 3252, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "So do you have any problems that we can use to practice this?", "session_id": 3252, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "rate of change ?", "session_id": 3252, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "Average rate of change", "session_id": 3252, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "let me check", "session_id": 3252, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "Another tip is that they're all mostly word problems", "session_id": 3252, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "is this graph problems", "session_id": 3252, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "Both but mostly word problems", "session_id": 3252, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "All right, so how do we start solving this?", "session_id": 3252, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "Fuel at \\(100\\) km (\\(F_{1}\\)): \\(375\\) LFuel at \\(400\\) km (\\(F_{2}\\)): \\(125\\) L", "session_id": 3252, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "Hi", "session_id": 3280, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "Hi I need help with #6,9,13,14,20", "session_id": 3280, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "one sec", "session_id": 3280, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "do one at a time", "session_id": 3280, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "yup", "session_id": 3280, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "so no 13?", "session_id": 3280, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "yup we can do 13", "session_id": 3280, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "okay, did you try to do it yourself?", "session_id": 3280, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "yes I did but im still lost", "session_id": 3280, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "okay, let's do it together", "session_id": 3280, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "yes please'", "session_id": 3280, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "sorry my ipad does not have charge, so it's taking time", "session_id": 3280, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "no your fine", "session_id": 3280, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "oh I think I did not have to simplify all that", "session_id": 3280, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "give me couple minute to find a better way to do this", "session_id": 3280, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "What is #14, 6, and 9", "session_id": 3280, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "So 13 would be A", "session_id": 3280, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "ok", "session_id": 3280, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "let me finish it to move on to 14, 6 and 9?", "session_id": 3280, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "so first we solved for a from the given expression, then we compare with the options", "session_id": 3280, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "should we do 14?", "session_id": 3280, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "the angle z is 1/2 of the sum of the intercepted arcs, so 1/2 (70+120)", "session_id": 3280, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "that is 95 degree", "session_id": 3280, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "are you still here?", "session_id": 3280, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "Central High School 10th grade", "session_id": 3258, "sequence_id": 0, "annotations": [{"pii_type": "SCHOOL", "surrogate": "Central High School", "start": 0, "end": 19}, {"pii_type": "GRADE_LEVEL", "surrogate": "10th grade", "start": 20, "end": 30}]}
{"role": "volunteer", "content": "hi Chloe", "session_id": 3258, "sequence_id": 1, "annotations": [{"pii_type": "PERSON", "surrogate": "Chloe", "start": 3, "end": 8}]}
{"role": "student", "content": "hi", "session_id": 3258, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "Central High School 10th grade", "session_id": 3258, "sequence_id": 3, "annotations": [{"pii_type": "SCHOOL", "surrogate": "Central High School", "start": 0, "end": 19}, {"pii_type": "GRADE_LEVEL", "surrogate": "10th grade", "start": 20, "end": 30}]}
{"role": "volunteer", "content": "yes. covers the whole semester", "session_id": 3258, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "just the first semester", "session_id": 3258, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "right", "session_id": 3258, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "there are probably areas the you understand well, and areas where you could use some help", "session_id": 3258, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "*areas that you", "session_id": 3258, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "yes i have my final in about 20 mins", "session_id": 3258, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "let's focus on areas where you need help", "session_id": 3258, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "ok i need help with linear equations", "session_id": 3258, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "the most", "session_id": 3258, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 3258, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "graphing them?", "session_id": 3258, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "yes", "session_id": 3258, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "want to put a problem on the board?", "session_id": 3258, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "sure", "session_id": 3258, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "one sec", "session_id": 3258, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "i dont have any can you put one up for me?", "session_id": 3258, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "it would help to have an example of what you need help with", "session_id": 3258, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "just graphing an equation in slope intercept form?", "session_id": 3258, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "yea...", "session_id": 3258, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "there's a problem and a grid", "session_id": 3258, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "i have to go the bell is ringing", "session_id": 3258, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "thanks for your time", "session_id": 3258, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "graph the intercept", "session_id": 3258, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "then use slope to graph one more point", "session_id": 3258, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "then draw line between those points", "session_id": 3258, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "i have to go the bell is ringing\n\nthanks for your time", "session_id": 3258, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "yw", "session_id": 3258, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "I need help with the problem about recursive functions. I need to know the formula and how to write them and that's the thing I don't know so I need a tutor that can help me figure that out.", "session_id": 3313, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "The problem says for the following pattern write a cursive function for the following:", "session_id": 3313, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "hello", "session_id": 3313, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "hi", "session_id": 3313, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "how can i help", "session_id": 3313, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "which question is troublesome for you?", "session_id": 3313, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "right now, I'm having trouble with question D where it says for the following pattern right over a cursive function for the following", "session_id": 3313, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "my issue is that I don't know how to write a recursive therefore it's a lot harder for me to figure it out", "session_id": 3313, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "and I have finals tomorrow, so the sooner I can figure it out the better", "session_id": 3313, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 3313, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "so first can u write down counts of each", "session_id": 3313, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "figure 1 has 5", "session_id": 3313, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "fig 2 has 10", "session_id": 3313, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "fig 3 has 17", "session_id": 3313, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "fig 4 has 26", "session_id": 3313, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "so its +5 then +7 then + 9", "session_id": 3313, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "so that makes it quadratic so then we go to the second difference", "session_id": 3313, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "which is +2", "session_id": 3313, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "i dont know what to do after that", "session_id": 3313, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "yup", "session_id": 3313, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "so what would the first equation be?", "session_id": 3313, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "f(1)) = 5", "session_id": 3313, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "because figure one has 5, right?", "session_id": 3313, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "yup", "session_id": 3313, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "then after the first one", "session_id": 3313, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "f(2)=10", "session_id": 3313, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "f(3)=17", "session_id": 3313, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "f(4)=26", "session_id": 3313, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "but u have to come up with an equation", "session_id": 3313, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "not that", "session_id": 3313, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "these are just points (x,y)", "session_id": 3313, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "we need to find an equation that works for all values of n", "session_id": 3313, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "f(1)=5(n-1)+2???", "session_id": 3313, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "f(n-1) +2n+1", "session_id": 3313, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "oh wait what", "session_id": 3313, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "it cannot be 5", "session_id": 3313, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "y", "session_id": 3313, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "f(1)=5(n-1)+2 does not work for any values", "session_id": 3313, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "if i plug in 2 or 3 or 4 in f(1)=5(2-1)+2 that does not make any sense", "session_id": 3313, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "so it has to be y = f(n-1) +2n+1", "session_id": 3313, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "ur not rlly explaining it in a way i undstand", "session_id": 3313, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "but how does that work?", "session_id": 3313, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "how can i remember", "session_id": 3313, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "the base case is f(1)) = 5", "session_id": 3313, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "then we build a second equation on the base equation", "session_id": 3313, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "ok", "session_id": 3313, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "second equation is F(n) = F(n-1) +2n+1", "session_id": 3313, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "if i plug in 1", "session_id": 3313, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "it would be just 5", "session_id": 3313, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "since thats the base condition", "session_id": 3313, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "if i plug in 2", "session_id": 3313, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "F(2) = F(2-1) +2n+1", "session_id": 3313, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "F(2) = F(1)) +2n+1", "session_id": 3313, "sequence_id": 52, "annotations": []}
{"role": "student", "content": "so just change n to the figure number?", "session_id": 3313, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "F(2) = 5 +2(2)+1", "session_id": 3313, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "F(2) = 10", "session_id": 3313, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "which is the number of squares in figure 2", "session_id": 3313, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "n is the figure number", "session_id": 3313, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "does that make sense?", "session_id": 3313, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "cuz f(1)) = 5 \n1 is figure number and 5 is number of squares", "session_id": 3313, "sequence_id": 59, "annotations": []}
{"role": "student", "content": "okay what is the formul like f(n)=n+___+__", "session_id": 3313, "sequence_id": 60, "annotations": []}
{"role": "student", "content": "i understand what to put where n is but its the blanks im confused abt", "session_id": 3313, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "theres no such formula because it depends on the numbers youre given", "session_id": 3313, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "u would have to come up with a unique equation that fits the numbers", "session_id": 3313, "sequence_id": 63, "annotations": []}
{"role": "student", "content": "okay so for this the answer would be f(1)=5n-1+1??", "session_id": 3313, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "no", "session_id": 3313, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "the answer is f(n-1) +2n+1", "session_id": 3313, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "and", "session_id": 3313, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "f(1) =5", "session_id": 3313, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "does that make sense?", "session_id": 3313, "sequence_id": 69, "annotations": []}
{"role": "student", "content": "no", "session_id": 3313, "sequence_id": 70, "annotations": []}
{"role": "student", "content": "because i dont know how u got that answer", "session_id": 3313, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "so the first figure has 5 squares so base condition is f(1)) =5", "session_id": 3313, "sequence_id": 72, "annotations": []}
{"role": "student", "content": "okay", "session_id": 3313, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "then we build a second equation on the base equation", "session_id": 3313, "sequence_id": 74, "annotations": []}
{"role": "volunteer", "content": "it has to fit the numbers we gave initially", "session_id": 3313, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "figure 2 has 10 squares and so on", "session_id": 3313, "sequence_id": 76, "annotations": []}
{"role": "student", "content": "which is f(2)=10??", "session_id": 3313, "sequence_id": 77, "annotations": []}
{"role": "student", "content": "like the second one is that?", "session_id": 3313, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "yup", "session_id": 3313, "sequence_id": 79, "annotations": []}
{"role": "student", "content": "okaay", "session_id": 3313, "sequence_id": 80, "annotations": []}
{"role": "volunteer", "content": "thats not the answer tho", "session_id": 3313, "sequence_id": 81, "annotations": []}
{"role": "volunteer", "content": "the answer is f(n-1) +2n+1", "session_id": 3313, "sequence_id": 82, "annotations": []}
{"role": "student", "content": "how that's what ur not explaining", "session_id": 3313, "sequence_id": 83, "annotations": []}
{"role": "volunteer", "content": "u need to come up with a new equation that fits the numbers", "session_id": 3313, "sequence_id": 84, "annotations": []}
{"role": "volunteer", "content": "fig 2 has 10, fig 3 has 17 etc etc", "session_id": 3313, "sequence_id": 85, "annotations": []}
{"role": "volunteer", "content": "there needs to be 2 since thats the increasing factor", "session_id": 3313, "sequence_id": 86, "annotations": []}
{"role": "volunteer", "content": "does that make sense?", "session_id": 3313, "sequence_id": 87, "annotations": []}
{"role": "student", "content": "okay i get why theres a two now", "session_id": 3313, "sequence_id": 88, "annotations": []}
{"role": "volunteer", "content": "yup!", "session_id": 3313, "sequence_id": 89, "annotations": []}
{"role": "student", "content": "so say, the differences were increasing by three it would be +3n instead right", "session_id": 3313, "sequence_id": 90, "annotations": []}
{"role": "volunteer", "content": "not necessarily it depends on the numbers", "session_id": 3313, "sequence_id": 91, "annotations": []}
{"role": "student", "content": "yeah u had me then lost me after that one\\", "session_id": 3313, "sequence_id": 92, "annotations": []}
{"role": "volunteer", "content": "so we are using 2n since it fits the numbers better in this example", "session_id": 3313, "sequence_id": 93, "annotations": []}
{"role": "volunteer", "content": "it might not necessarily fit all sets of numbers u will be given", "session_id": 3313, "sequence_id": 94, "annotations": []}
{"role": "volunteer", "content": "u could make a table if that makes more sense", "session_id": 3313, "sequence_id": 95, "annotations": []}
{"role": "volunteer", "content": "does that make sense?", "session_id": 3313, "sequence_id": 96, "annotations": []}
{"role": "student", "content": "yes", "session_id": 3313, "sequence_id": 97, "annotations": []}
{"role": "volunteer", "content": "do u wanna try the next one?", "session_id": 3313, "sequence_id": 98, "annotations": []}
{"role": "student", "content": "sure", "session_id": 3313, "sequence_id": 99, "annotations": []}
{"role": "student", "content": "f(1)=5", "session_id": 3313, "sequence_id": 100, "annotations": []}
{"role": "volunteer", "content": "yup", "session_id": 3313, "sequence_id": 101, "annotations": []}
{"role": "student", "content": "f(2)=10", "session_id": 3313, "sequence_id": 102, "annotations": []}
{"role": "student", "content": "f(3)=17", "session_id": 3313, "sequence_id": 103, "annotations": []}
{"role": "volunteer", "content": "sorry which question are you on?", "session_id": 3313, "sequence_id": 104, "annotations": []}
{"role": "student", "content": "2?", "session_id": 3313, "sequence_id": 105, "annotations": []}
{"role": "student", "content": "what did u mean by move onto the next one", "session_id": 3313, "sequence_id": 106, "annotations": []}
{"role": "volunteer", "content": "question 2 part a?", "session_id": 3313, "sequence_id": 107, "annotations": []}
{"role": "student", "content": "the one right below D", "session_id": 3313, "sequence_id": 108, "annotations": []}
{"role": "volunteer", "content": "yup", "session_id": 3313, "sequence_id": 109, "annotations": []}
{"role": "student", "content": "yea", "session_id": 3313, "sequence_id": 110, "annotations": []}
{"role": "student", "content": "\\", "session_id": 3313, "sequence_id": 111, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 3313, "sequence_id": 112, "annotations": []}
{"role": "volunteer", "content": "so what about f(4)", "session_id": 3313, "sequence_id": 113, "annotations": []}
{"role": "student", "content": "f(4)=26", "session_id": 3313, "sequence_id": 114, "annotations": []}
{"role": "student", "content": "im assuming each difference is going up by two", "session_id": 3313, "sequence_id": 115, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 3313, "sequence_id": 116, "annotations": []}
{"role": "student", "content": "there is a better image if needed", "session_id": 3313, "sequence_id": 117, "annotations": []}
{"role": "volunteer", "content": "yup", "session_id": 3313, "sequence_id": 118, "annotations": []}
{"role": "student", "content": "f(5)=37", "session_id": 3313, "sequence_id": 119, "annotations": []}
{"role": "volunteer", "content": "yup", "session_id": 3313, "sequence_id": 120, "annotations": []}
{"role": "volunteer", "content": "so what would be the explicit equation", "session_id": 3313, "sequence_id": 121, "annotations": []}
{"role": "student", "content": "im writing it on my paper on moment", "session_id": 3313, "sequence_id": 122, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 3313, "sequence_id": 123, "annotations": []}
{"role": "student", "content": "okay im a lil lost", "session_id": 3313, "sequence_id": 124, "annotations": []}
{"role": "volunteer", "content": "its the same exact question we did", "session_id": 3313, "sequence_id": 125, "annotations": []}
{"role": "student", "content": "ik", "session_id": 3313, "sequence_id": 126, "annotations": []}
{"role": "volunteer", "content": "the numbers are exactly the same", "session_id": 3313, "sequence_id": 127, "annotations": []}
{"role": "student", "content": "im aware", "session_id": 3313, "sequence_id": 128, "annotations": []}
{"role": "volunteer", "content": "so the answer would be the same", "session_id": 3313, "sequence_id": 129, "annotations": []}
{"role": "student", "content": "its an explicit problem tho not recursive", "session_id": 3313, "sequence_id": 130, "annotations": []}
{"role": "student", "content": "theyre different", "session_id": 3313, "sequence_id": 131, "annotations": []}
{"role": "volunteer", "content": "u would just replace the recursive bit in second equation with 5 and thats it", "session_id": 3313, "sequence_id": 132, "annotations": []}
{"role": "student", "content": "ion like ur attitude", "session_id": 3313, "sequence_id": 133, "annotations": []}
{"role": "volunteer", "content": "sorry what?", "session_id": 3313, "sequence_id": 134, "annotations": []}
{"role": "student", "content": "why u mad im confused \ud83d\udc94", "session_id": 3313, "sequence_id": 135, "annotations": []}
{"role": "volunteer", "content": "for part b?", "session_id": 3313, "sequence_id": 136, "annotations": []}
{"role": "student", "content": "yes", "session_id": 3313, "sequence_id": 137, "annotations": []}
{"role": "student", "content": "oki bye", "session_id": 3313, "sequence_id": 138, "annotations": []}
{"role": "volunteer", "content": "hello", "session_id": 3292, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "How may I help you?", "session_id": 3292, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "hello", "session_id": 3292, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "can you hel;p me with this", "session_id": 3292, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "what is local mini", "session_id": 3292, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "a local miinimum is like the bottom of a valley.", "session_id": 3292, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "where the arrows are pointing.", "session_id": 3292, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "Make sense?", "session_id": 3292, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "Have you seen that before?", "session_id": 3292, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "ohhhhh", "session_id": 3292, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "is there another type?", "session_id": 3292, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "to find there local minima and maxima occurs you need to find the critical numbers of the function.", "session_id": 3292, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "ohhhh", "session_id": 3292, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "okay", "session_id": 3292, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "Do you know how to find critical numbers?", "session_id": 3292, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "no... i forgot", "session_id": 3292, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "can you help me", "session_id": 3292, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "trhe process", "session_id": 3292, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "how do yk its a mini or max", "session_id": 3292, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "The critical numbers are where f'(x) =0 or where it is undefined", "session_id": 3292, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "ohhhh", "session_id": 3292, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "okY", "session_id": 3292, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "LET ME TRY IT", "session_id": 3292, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "sorry caps", "session_id": 3292, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "yes, go ahead", "session_id": 3292, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "that factoring is not quite right", "session_id": 3292, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "oh\\", "session_id": 3292, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "still not right", "session_id": 3292, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "oops", "session_id": 3292, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "can you help me", "session_id": 3292, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "When you factor it is best to first factor out any common numbers", "session_id": 3292, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "okk", "session_id": 3292, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "I factored out a 3", "session_id": 3292, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "So what ate the critical numbers?", "session_id": 3292, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "Hello?", "session_id": 3292, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "hello, are you there?", "session_id": 3292, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "yes", "session_id": 3292, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "give me 5 mins sorry", "session_id": 3292, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "it is getting late.", "session_id": 3292, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "hello?", "session_id": 3292, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "It is getting late, and I am afraid that I need to hear from you a minute or two to continue the session.  It has been 10 minutes since I have heard from you.", "session_id": 3292, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "okay sorry", "session_id": 3292, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "i was taking medicine", "session_id": 3292, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "ok, let's finish up please", "session_id": 3292, "sequence_id": 43, "annotations": []}
{"role": "student", "content": "is that right?", "session_id": 3292, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 3292, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "what do we edo now?", "session_id": 3292, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "pick a test point in each of the three parts and determine whether f' is + or - in that part", "session_id": 3292, "sequence_id": 47, "annotations": []}
{"role": "student", "content": "which equatin do i plug it into", "session_id": 3292, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "f', the derivative", "session_id": 3292, "sequence_id": 49, "annotations": []}
{"role": "student", "content": "what happens if its the same sign", "session_id": 3292, "sequence_id": 50, "annotations": []}
{"role": "student", "content": "- -", "session_id": 3292, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "okay so there is a max", "session_id": 3292, "sequence_id": 52, "annotations": []}
{"role": "student", "content": "at -1", "session_id": 3292, "sequence_id": 53, "annotations": []}
{"role": "student", "content": "and min at 3", "session_id": 3292, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "that's right", "session_id": 3292, "sequence_id": 55, "annotations": []}
{"role": "student", "content": "but what if its the same signs", "session_id": 3292, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "if you have the same sign on both sides of the critical number, then it is neither a max or a min", "session_id": 3292, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "Incidentally, it is often easier to use the factored form to figure out whether f' is + or -", "session_id": 3292, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "but either way works'", "session_id": 3292, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "it seems like you have some understanding of that now.", "session_id": 3292, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "Have a good evening", "session_id": 3292, "sequence_id": 61, "annotations": []}
{"role": "student", "content": "thank you!", "session_id": 3292, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "you are very welcome", "session_id": 3292, "sequence_id": 63, "annotations": []}
{"role": "student", "content": "do you ahve more tips?", "session_id": 3292, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "that's it for this problem.", "session_id": 3292, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "have a good evening.", "session_id": 3292, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "bye", "session_id": 3292, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "hi", "session_id": 3329, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "Hi can you please help me with this problem st/r + x/a+b=z/y", "session_id": 3329, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "is that the full problem", "session_id": 3329, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "its not clear", "session_id": 3329, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "Yes would you like me to use the whiteboard ", "session_id": 3329, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 3329, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "Ok one second ", "session_id": 3329, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "Ok it\u2019s on the white board ", "session_id": 3329, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "Find a", "session_id": 3329, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 3329, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "there are so many variables in this equation", "session_id": 3329, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "we can't exactly find the value of a", "session_id": 3329, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "a value will be in the form of other variables", "session_id": 3329, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "Right", "session_id": 3329, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "I dont think its possible", "session_id": 3329, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "lets try", "session_id": 3329, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "paste again plz", "session_id": 3329, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "Ok", "session_id": 3329, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "which one ./", "session_id": 3329, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "#13", "session_id": 3329, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "lets try 13", "session_id": 3329, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "subtract st/r on both sides", "session_id": 3329, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "invert on both sides now", "session_id": 3329, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "Ok", "session_id": 3329, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "So E) none of the above", "session_id": 3329, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "thats the ans", "session_id": 3329, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "Ok thank you", "session_id": 3329, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "if you take off - on both numerator and demonimator , it will be A", "session_id": 3329, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 3329, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "hi", "session_id": 3386, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "Hi!", "session_id": 3386, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "How are you doing today?", "session_id": 3386, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "good", "session_id": 3386, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "Great", "session_id": 3386, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "what abut you", "session_id": 3386, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "I\u2019m good too thanks for asking", "session_id": 3386, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "What can I help you with today", "session_id": 3386, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "math", "session_id": 3386, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "Oh okay alright", "session_id": 3386, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "So you need help with dividing is that right", "session_id": 3386, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "yes", "session_id": 3386, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "Okay lets get started then", "session_id": 3386, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "ok", "session_id": 3386, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "So the wrote it out so that it is easier to divide", "session_id": 3386, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "Is that right?", "session_id": 3386, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "yes", "session_id": 3386, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "Can you see my writing?", "session_id": 3386, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "Okay", "session_id": 3386, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "So we are going to go by each number", "session_id": 3386, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "So first we\u2019re going to look at the 7", "session_id": 3386, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "So how many times does 6 go into 7", "session_id": 3386, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "0", "session_id": 3386, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "That is partially true", "session_id": 3386, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "Yes you can\u2019t multiply to get 7", "session_id": 3386, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "But what number do you get that is close to 7", "session_id": 3386, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "6", "session_id": 3386, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "Yes and what number do you multiply by to get 6", "session_id": 3386, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "7", "session_id": 3386, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "6x?=6", "session_id": 3386, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "Not quite", "session_id": 3386, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "36", "session_id": 3386, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "Okay so 6 times a number is equal to 6", "session_id": 3386, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "So I\u2019ll help you out with this one", "session_id": 3386, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "It\u2019s 1", "session_id": 3386, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "Right", "session_id": 3386, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "6x1=6", "session_id": 3386, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 3386, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "Okay so above the 7 you would put a 1", "session_id": 3386, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "ok", "session_id": 3386, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "Okay so what was 6x1", "session_id": 3386, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "6", "session_id": 3386, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "Right", "session_id": 3386, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "i now how to muplily", "session_id": 3386, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "Yes I can tell!!", "session_id": 3386, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "Okay and I\u2019m confident you know what 7-6 is", "session_id": 3386, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "42", "session_id": 3386, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "1", "session_id": 3386, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "Right", "session_id": 3386, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "So now we have to move on to the 8", "session_id": 3386, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "But we have a 1 left over from 7-6", "session_id": 3386, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "So we would bring the 8 down", "session_id": 3386, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "so how many times can 6 go in to 78", "session_id": 3386, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "Almost", "session_id": 3386, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "How many times can it go into 18", "session_id": 3386, "sequence_id": 54, "annotations": []}
{"role": "student", "content": "3", "session_id": 3386, "sequence_id": 55, "annotations": []}
{"role": "student", "content": "times", "session_id": 3386, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "YES", "session_id": 3386, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "Perfect", "session_id": 3386, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "So you would put the 3 above the 8", "session_id": 3386, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "And we said 6x3 is 18 so", "session_id": 3386, "sequence_id": 60, "annotations": []}
{"role": "student", "content": "yes", "session_id": 3386, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "And 18-18 is just ?", "session_id": 3386, "sequence_id": 62, "annotations": []}
{"role": "student", "content": "0", "session_id": 3386, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "Right", "session_id": 3386, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "Okay so now for the last number it is 0", "session_id": 3386, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "So how would we get 0", "session_id": 3386, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "Any number multiplied by what is 0", "session_id": 3386, "sequence_id": 67, "annotations": []}
{"role": "student", "content": "i no", "session_id": 3386, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "That\u2019s awesome", "session_id": 3386, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "What is it", "session_id": 3386, "sequence_id": 70, "annotations": []}
{"role": "student", "content": "sorry i have to go", "session_id": 3386, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "Oh okay that\u2019s okay", "session_id": 3386, "sequence_id": 72, "annotations": []}
{"role": "student", "content": "thank", "session_id": 3386, "sequence_id": 73, "annotations": []}
{"role": "student", "content": "you", "session_id": 3386, "sequence_id": 74, "annotations": []}
{"role": "volunteer", "content": "Yes ofc", "session_id": 3386, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "Bye", "session_id": 3386, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "Have a great day!!", "session_id": 3386, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "You did amazing!!!", "session_id": 3386, "sequence_id": 78, "annotations": []}
{"role": "student", "content": "thank you", "session_id": 3386, "sequence_id": 79, "annotations": []}
{"role": "student", "content": "I need help with a statistics project final", "session_id": 3417, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "Hello", "session_id": 3417, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "hey Alex post your problems that you need help with", "session_id": 3417, "sequence_id": 2, "annotations": [{"pii_type": "PERSON", "surrogate": "Alex", "start": 4, "end": 8}]}
{"role": "student", "content": "well its not really a problem, its a final", "session_id": 3417, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "I can send the rubric", "session_id": 3417, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "I don't know how to start", "session_id": 3417, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "ok post it please", "session_id": 3417, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "one second", "session_id": 3417, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 3417, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "Maya how are youcoming with the posting?", "session_id": 3417, "sequence_id": 9, "annotations": [{"pii_type": "PERSON", "surrogate": "Maya", "start": 0, "end": 4}]}
{"role": "student", "content": "I'm trying to find the file", "session_id": 3417, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 3417, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "it wont let me download", "session_id": 3417, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "can you paste it in this chat area?", "session_id": 3417, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "how you coming with the pasting?", "session_id": 3417, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "wont paste it", "session_id": 3417, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "can you write problem on board?", "session_id": 3417, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "Uh", "session_id": 3417, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "Maya?", "session_id": 3417, "sequence_id": 18, "annotations": [{"pii_type": "PERSON", "surrogate": "Maya", "start": 0, "end": 4}]}
{"role": "volunteer", "content": "Wow.", "session_id": 3417, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "the", "session_id": 3417, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "I'll write the rubric", "session_id": 3417, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 3417, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "and", "session_id": 3417, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "insurance", "session_id": 3417, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "rescue. You're super is the only asthma rescue inhaler FDA approved to treat symptoms and help prevent that.", "session_id": 3417, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "I cant hear yiu", "session_id": 3417, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "A sewer should not be used as a main instrument for asthma. Get medical help right away if your breathing doesn't improve or worse, but for serious allergic reactions like rash on", "session_id": 3417, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "your tongue swelling, trouble breathing or swallowing, chest pain? You can your super more than prescribed could be lighter serious side effects increased risk of thru or infection.", "session_id": 3417, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "faster heart rate, and higher blood pressure. Maya, can you hear me?", "session_id": 3417, "sequence_id": 29, "annotations": [{"pii_type": "PERSON", "surrogate": "Maya", "start": 46, "end": 50}]}
{"role": "student", "content": "yes", "session_id": 3417, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "Maya, can you hear me.", "session_id": 3417, "sequence_id": 31, "annotations": [{"pii_type": "PERSON", "surrogate": "Maya", "start": 0, "end": 4}]}
{"role": "volunteer", "content": "What is the rubic", "session_id": 3417, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "Hello thank you for taking the time to teach me", "session_id": 3479, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "hii of course!", "session_id": 3479, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "what do you need help with", "session_id": 3479, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "I'm learning about quadrilaterals and I'm so confused", "session_id": 3479, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "I have a test pretty soon too", "session_id": 3479, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "okay so is it proofs with qudrilaterals or just rules in general", "session_id": 3479, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "Both of them", "session_id": 3479, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "oh thats fine", "session_id": 3479, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "okay thank you", "session_id": 3479, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "no problem!", "session_id": 3479, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "ill just draw the rules out okay", "session_id": 3479, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "okay!", "session_id": 3479, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "are you learning about trpaezoids?", "session_id": 3479, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "yeah we are", "session_id": 3479, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "alright", "session_id": 3479, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "but they didn't teach us the rectangle yet", "session_id": 3479, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "oh okay, you can learn it early!", "session_id": 3479, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "okay!", "session_id": 3479, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "do you know what these symbols mean", "session_id": 3479, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "if they're congruent or not", "session_id": 3479, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "yup!", "session_id": 3479, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "do you have any qyestions", "session_id": 3479, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "ill write the rules for the shapes in the chat", "session_id": 3479, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "no I don't thank you", "session_id": 3479, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "i'm watching you do so", "session_id": 3479, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "great!", "session_id": 3479, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "Parallelogram: Opposite sides and angles are equal, consecutive angles are supplementary, and diagonals bisect each other.\nRectangle: Opposite sides are equal and parallel, all angles are 90\u00b0, and diagonals are equal and bisect each other.\nRhombus: All four sides are equal, opposite angles are equal, and diagonals bisect each other at right angles and bisect the angles.\nSquare: All sides are equal, opposite sides are parallel, all angles are 90\u00b0, and diagonals are equal, bisect each other at right angles, and bisect the angles.\nTrapezoid: Has only one pair of parallel sides (bases), and adjacent angles along non-parallel sides are supplementary. Diagonals bisect each other in the same ratio.", "session_id": 3479, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "i know its a lot of info", "session_id": 3479, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "but it is thorough", "session_id": 3479, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "okay i'll be righting these down", "session_id": 3479, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "do you have any practice questions you would like to do", "session_id": 3479, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "yes please", "session_id": 3479, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "okay ill write a proof up", "session_id": 3479, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "do you know the different thorems", "session_id": 3479, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "like SSS, SAS etc?", "session_id": 3479, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "no not yet", "session_id": 3479, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "oh then a proof would be slightly difficult if you havent leant it", "session_id": 3479, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "because you need to have a theorem in the end", "session_id": 3479, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "then i highly doubt your test would have it if you havent learn it", "session_id": 3479, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "do you have any other topics you want to learn more about?", "session_id": 3479, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "my teacher said, i'll have the trapeziods, diagrams of the shapes, finding the angles, graphing diong conclusions and calculations and trigonometry", "session_id": 3479, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "ohh alright so you also have trig", "session_id": 3479, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "thats fine", "session_id": 3479, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "ill write problems and the board", "session_id": 3479, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "on", "session_id": 3479, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "okay!", "session_id": 3479, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "alright do this one", "session_id": 3479, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "alright", "session_id": 3479, "sequence_id": 47, "annotations": []}
{"role": "student", "content": "done", "session_id": 3479, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "yes!", "session_id": 3479, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "you got it\n!", "session_id": 3479, "sequence_id": 50, "annotations": []}
{"role": "student", "content": "yay!", "session_id": 3479, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "im going to share my screen", "session_id": 3479, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "just solve the problems on the worksheet", "session_id": 3479, "sequence_id": 53, "annotations": []}
{"role": "student", "content": "okay", "session_id": 3479, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "do you see it?", "session_id": 3479, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "questions 5, 6 7 and 8", "session_id": 3479, "sequence_id": 56, "annotations": []}
{"role": "student", "content": "yes I do", "session_id": 3479, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "great!", "session_id": 3479, "sequence_id": 58, "annotations": []}
{"role": "student", "content": "Which one should I do first?", "session_id": 3479, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "which ever order you prefer", "session_id": 3479, "sequence_id": 60, "annotations": []}
{"role": "student", "content": "Okay then", "session_id": 3479, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "have you written the questions down", "session_id": 3479, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "can i pause the sharing?", "session_id": 3479, "sequence_id": 63, "annotations": []}
{"role": "student", "content": "Okay yes", "session_id": 3479, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "thanks", "session_id": 3479, "sequence_id": 65, "annotations": []}
{"role": "student", "content": "And I did two I think", "session_id": 3479, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "oh great", "session_id": 3479, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "can you tell me your answers", "session_id": 3479, "sequence_id": 68, "annotations": []}
{"role": "student", "content": "yes for the first I got 4/5 and for the second one I didn't get to make it to the right amount but i got 39.3", "session_id": 3479, "sequence_id": 69, "annotations": []}
{"role": "student", "content": "I think I did the first one correctly", "session_id": 3479, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "its is 39.3", "session_id": 3479, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "so it is basically right", "session_id": 3479, "sequence_id": 72, "annotations": []}
{"role": "student", "content": "okay", "session_id": 3479, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "ill cut you some slack for the 0.3", "session_id": 3479, "sequence_id": 74, "annotations": []}
{"role": "volunteer", "content": "just 2 more!", "session_id": 3479, "sequence_id": 75, "annotations": []}
{"role": "student", "content": "okay", "session_id": 3479, "sequence_id": 76, "annotations": []}
{"role": "student", "content": "Can I also get help on one of the questions in my review sheet? after this please", "session_id": 3479, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "sure!", "session_id": 3479, "sequence_id": 78, "annotations": []}
{"role": "student", "content": "thank you", "session_id": 3479, "sequence_id": 79, "annotations": []}
{"role": "student", "content": "I haven't gotten the question you have for me yet", "session_id": 3479, "sequence_id": 80, "annotations": []}
{"role": "volunteer", "content": "what do you mean?", "session_id": 3479, "sequence_id": 81, "annotations": []}
{"role": "volunteer", "content": "im sorry my mac is acting up", "session_id": 3479, "sequence_id": 82, "annotations": []}
{"role": "volunteer", "content": "i might have to leave the call", "session_id": 3479, "sequence_id": 83, "annotations": []}
{"role": "volunteer", "content": "im so sorry", "session_id": 3479, "sequence_id": 84, "annotations": []}
{"role": "volunteer", "content": "Hi, how can I help?", "session_id": 3589, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "Hi", "session_id": 3589, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "Solving  inequalities", "session_id": 3589, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "okay", "session_id": 3589, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "Do you have any specific problem you working on?", "session_id": 3589, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "I\u2019ll put it one ", "session_id": 3589, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "On*", "session_id": 3589, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 3589, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "It\u2019s substitution", "session_id": 3589, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "yes, you can do substitution", "session_id": 3589, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "That\u2019s the answer", "session_id": 3589, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "But how do I graph it ", "session_id": 3589, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "so to graph it, we can find other informations from the equations, like x and y intercepts", "session_id": 3589, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "Ok", "session_id": 3589, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "Do you want to give it a try?", "session_id": 3589, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "What should I do ", "session_id": 3589, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "okay, lets find y intercepts first for 2x-y=3", "session_id": 3589, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "to find that you substitute x=0 in the equation", "session_id": 3589, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "that would give us y=-3, so y intercept is (0,-3)", "session_id": 3589, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "ok", "session_id": 3589, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "thats one point", "session_id": 3589, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "now x-intercept, substitute y=0, find the x value", "session_id": 3589, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "it should be x=3/2, and intercept (3/2,0)", "session_id": 3589, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "that's two points", "session_id": 3589, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "do the same for 8x+y=-18, find x and y intercepts", "session_id": 3589, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "hello", "session_id": 3516, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "Hi Michael!", "session_id": 3516, "sequence_id": 1, "annotations": [{"pii_type": "PERSON", "surrogate": "Michael", "start": 3, "end": 10}]}
{"role": "volunteer", "content": "What do you need help in?", "session_id": 3516, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "iready", "session_id": 3516, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "Did you put the material on the board?", "session_id": 3516, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "no not yet", "session_id": 3516, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "okay take your time!", "session_id": 3516, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "here are the clues for a mystery number  the number is a decimal between 4 and 5 the number is closer to 4 than to 5", "session_id": 3516, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "Is this the question?", "session_id": 3516, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "The answer needs to be between 4- 4.5 since the answer is closer to 4 than five. So a possible answer would be 4.3.", "session_id": 3516, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "yes", "session_id": 3516, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "Does that explanation makes sense?", "session_id": 3516, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "so what's the, answer", "session_id": 3516, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "The answer could be 4.3", "session_id": 3516, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "But any answer between 4.1-4.5 would be correct", "session_id": 3516, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "Does that make sense?", "session_id": 3516, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "Do you need help with anything else?", "session_id": 3516, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "no bye", "session_id": 3516, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "Ok thank you", "session_id": 3516, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "Hello!", "session_id": 3584, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "What questions do you have?", "session_id": 3584, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "hello its loading on screen sorry", "session_id": 3584, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "No worries!", "session_id": 3584, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "Looks like it failed on my end", "session_id": 3584, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "Can you see an image?", "session_id": 3584, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "yah sorry hang on i will type it", "session_id": 3584, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "Oh, there it is!", "session_id": 3584, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "yay", "session_id": 3584, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "I'm not sure I've seen this sort of problem tbh", "session_id": 3584, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "Not off to a great start", "session_id": 3584, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "its fine i promise", "session_id": 3584, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "Do you have an idea how to get started without me?", "session_id": 3584, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "I have an idea of something to try, but I'm not sure if it would work or if it's what you're supposed to do", "session_id": 3584, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "not really this was work given to me when i wasnt there and i wasnt told how to do it", "session_id": 3584, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": ":(", "session_id": 3584, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "Let me get some background", "session_id": 3584, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "What are you learning about in class?", "session_id": 3584, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "Matrix multiplication?", "session_id": 3584, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "yes", "session_id": 3584, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "and add and subtracting matrixs", "session_id": 3584, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "Do you know how to find the inverse of a matrix?", "session_id": 3584, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "yes", "session_id": 3584, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "Ah, now we're getting somewhere!", "session_id": 3584, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "Let me do a much easier problem to get the idea across", "session_id": 3584, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "okay", "session_id": 3584, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "I replaced the matrices by numbers!", "session_id": 3584, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "Now it's easieer", "session_id": 3584, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "Let me solve it super pedantically", "session_id": 3584, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "I'm multiplying both equations on the LEFT by the MULTIPLICATIVE INVERSE of 3", "session_id": 3584, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "Does that make sense?", "session_id": 3584, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "yes", "session_id": 3584, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "Multiplying by the inverse cancels out the left hand side, leaving only B", "session_id": 3584, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "Then I can do the multiplication on the right hand side to get the answer of 2", "session_id": 3584, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "oh ok", "session_id": 3584, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "Now, back to the real problem!", "session_id": 3584, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "Let's do the same thing", "session_id": 3584, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "Can you find the inverse of the pink matrix?", "session_id": 3584, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "yes", "session_id": 3584, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "Awesome! Go for it and let me know what you get :)", "session_id": 3584, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "okay", "session_id": 3584, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "is that right?", "session_id": 3584, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "One moment, math is hard", "session_id": 3584, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "wait i did the wrong one", "session_id": 3584, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "This looks a bit off though", "session_id": 3584, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "What did you get as the determinant?", "session_id": 3584, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "Or did you do the reduced row echelon form method?", "session_id": 3584, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "my teacher taut use to swich a and d then swich the signs of b and c or is that wrong", "session_id": 3584, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "Close! But that helps a lot", "session_id": 3584, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "Let me put up the formula for my own sake", "session_id": 3584, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "Otherwise I'll get confused :)", "session_id": 3584, "sequence_id": 50, "annotations": []}
{"role": "student", "content": "ok", "session_id": 3584, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "Does this formula look familiar?", "session_id": 3584, "sequence_id": 52, "annotations": []}
{"role": "student", "content": "kinda", "session_id": 3584, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "The determinant is new?\\", "session_id": 3584, "sequence_id": 54, "annotations": []}
{"role": "student", "content": "yes sorry..?", "session_id": 3584, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "For the 2x2 matrix, the \"determinant\" is ad-bc", "session_id": 3584, "sequence_id": 56, "annotations": []}
{"role": "student", "content": "that is the way she showed use", "session_id": 3584, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "Nice! You might see things called the \"determinant\" in formulas. It shows up in various places", "session_id": 3584, "sequence_id": 58, "annotations": []}
{"role": "student", "content": "ok", "session_id": 3584, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "But for 2x2 matrices, you can just memorize the formula", "session_id": 3584, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "In any case, let's try the inverse again!", "session_id": 3584, "sequence_id": 61, "annotations": []}
{"role": "student", "content": "okay", "session_id": 3584, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "What does the 1/(ad-bc) equal?", "session_id": 3584, "sequence_id": 63, "annotations": []}
{"role": "student", "content": "1/1?", "session_id": 3584, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "Check the sign!", "session_id": 3584, "sequence_id": 65, "annotations": []}
{"role": "student", "content": "-9*1=-9  10*-1=-10   -9-(-10)=1", "session_id": 3584, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "Swap the order in that last step!", "session_id": 3584, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "we want ad - bc and not bc - ad", "session_id": 3584, "sequence_id": 68, "annotations": []}
{"role": "student", "content": "so it would be 1/-1", "session_id": 3584, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "That looks good!", "session_id": 3584, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "Written without the fraction, it would just be -1, right?", "session_id": 3584, "sequence_id": 71, "annotations": []}
{"role": "student", "content": "yes", "session_id": 3584, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "So we can do the rest of the formula and get an inverse. Does that make sense?", "session_id": 3584, "sequence_id": 73, "annotations": []}
{"role": "student", "content": "yes", "session_id": 3584, "sequence_id": 74, "annotations": []}
{"role": "volunteer", "content": "Awesome! What do we do now?", "session_id": 3584, "sequence_id": 75, "annotations": []}
{"role": "student", "content": "find out how we get [-17 -7 -1 0]?", "session_id": 3584, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "Let's go back to the easy problem and see what we did there!", "session_id": 3584, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "What'd we do with the inverse there?", "session_id": 3584, "sequence_id": 78, "annotations": []}
{"role": "student", "content": "make it a fraction then multiply it on both sides?", "session_id": 3584, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "The multiplicative inverse of 3 is the fraction 1/3", "session_id": 3584, "sequence_id": 80, "annotations": []}
{"role": "volunteer", "content": "So 1/3 is already the inverse", "session_id": 3584, "sequence_id": 81, "annotations": []}
{"role": "student", "content": "then just the multiply part", "session_id": 3584, "sequence_id": 82, "annotations": []}
{"role": "volunteer", "content": "But you're right! We multiplied on the LEFT by inverse for both sides", "session_id": 3584, "sequence_id": 83, "annotations": []}
{"role": "volunteer", "content": "Can you do that with the matrices?", "session_id": 3584, "sequence_id": 84, "annotations": []}
{"role": "volunteer", "content": "I'll right it out", "session_id": 3584, "sequence_id": 85, "annotations": []}
{"role": "volunteer", "content": "Alex", "session_id": 3584, "sequence_id": 86, "annotations": [{"pii_type": "PERSON", "surrogate": "Alex", "start": 0, "end": 4}]}
{"role": "volunteer", "content": "Sorry, just realized I made a mistake writing the inverse", "session_id": 3584, "sequence_id": 87, "annotations": []}
{"role": "volunteer", "content": "Should be a -10", "session_id": 3584, "sequence_id": 88, "annotations": []}
{"role": "volunteer", "content": "math is hard :(", "session_id": 3584, "sequence_id": 89, "annotations": []}
{"role": "student", "content": "those cancel out and the other two equal to [-17 63 -1 0]?", "session_id": 3584, "sequence_id": 90, "annotations": []}
{"role": "volunteer", "content": "Can you show your work on this part: [-17 63 -1 0]", "session_id": 3584, "sequence_id": 91, "annotations": []}
{"role": "volunteer", "content": "Or, check your multiplication on the right hand side!", "session_id": 3584, "sequence_id": 92, "annotations": []}
{"role": "volunteer", "content": "Ah, I see! That's not quite how matrix multiplication works", "session_id": 3584, "sequence_id": 93, "annotations": []}
{"role": "volunteer", "content": "Let's do a refresher!", "session_id": 3584, "sequence_id": 94, "annotations": []}
{"role": "volunteer", "content": "I'm going to scroll all the way to the bottom", "session_id": 3584, "sequence_id": 95, "annotations": []}
{"role": "student", "content": "k", "session_id": 3584, "sequence_id": 96, "annotations": []}
{"role": "volunteer", "content": "Let's get the first entry!", "session_id": 3584, "sequence_id": 97, "annotations": []}
{"role": "volunteer", "content": "Matrix multiplication is pretty weird, but do you see what I'm doing there?", "session_id": 3584, "sequence_id": 98, "annotations": []}
{"role": "student", "content": "yah", "session_id": 3584, "sequence_id": 99, "annotations": []}
{"role": "volunteer", "content": "So basically, if we want the position in row i column j", "session_id": 3584, "sequence_id": 100, "annotations": []}
{"role": "volunteer", "content": "For blue, that's row 1 column 2", "session_id": 3584, "sequence_id": 101, "annotations": []}
{"role": "student", "content": "ok", "session_id": 3584, "sequence_id": 102, "annotations": []}
{"role": "volunteer", "content": "We multiply the ith row in the left matrix by the jth column in the second matrix", "session_id": 3584, "sequence_id": 103, "annotations": []}
{"role": "volunteer", "content": "So for blue again, that's the first row in the left matrix times the second column in the right matrix", "session_id": 3584, "sequence_id": 104, "annotations": []}
{"role": "volunteer", "content": "I didn't draw the arrows for those because that's too many arrows", "session_id": 3584, "sequence_id": 105, "annotations": []}
{"role": "volunteer", "content": "But hopefully you get the idea", "session_id": 3584, "sequence_id": 106, "annotations": []}
{"role": "volunteer", "content": "We can also check we found the right inverse before!", "session_id": 3584, "sequence_id": 107, "annotations": []}
{"role": "volunteer", "content": "If it's the true inverse, we should get the identity matrix like we expect!", "session_id": 3584, "sequence_id": 108, "annotations": []}
{"role": "volunteer", "content": "Let's do thje multiplication to see!~", "session_id": 3584, "sequence_id": 109, "annotations": []}
{"role": "volunteer", "content": "Checks out!", "session_id": 3584, "sequence_id": 110, "annotations": []}
{"role": "volunteer", "content": "Does that make sense?", "session_id": 3584, "sequence_id": 111, "annotations": []}
{"role": "student", "content": "yes", "session_id": 3584, "sequence_id": 112, "annotations": []}
{"role": "volunteer", "content": "Awesome! Can you retry the matrix multiplication in the original problem?", "session_id": 3584, "sequence_id": 113, "annotations": []}
{"role": "student", "content": "yes", "session_id": 3584, "sequence_id": 114, "annotations": []}
{"role": "student", "content": "[-8 -7 -7 -7]??", "session_id": 3584, "sequence_id": 115, "annotations": []}
{"role": "volunteer", "content": "That's what I got! Although I do occasionally make mistaks", "session_id": 3584, "sequence_id": 116, "annotations": []}
{"role": "volunteer", "content": "Any questions about anything we did here?", "session_id": 3584, "sequence_id": 117, "annotations": []}
{"role": "student", "content": "no", "session_id": 3584, "sequence_id": 118, "annotations": []}
{"role": "volunteer", "content": "Perfect! You should be able to do the next problem without me then :)", "session_id": 3584, "sequence_id": 119, "annotations": []}
{"role": "volunteer", "content": "Want to give it a shot?", "session_id": 3584, "sequence_id": 120, "annotations": []}
{"role": "volunteer", "content": "Let me know what you get for the inverse and the final answer. And feel free to ask questions if you get stuck", "session_id": 3584, "sequence_id": 121, "annotations": []}
{"role": "student", "content": "okay", "session_id": 3584, "sequence_id": 122, "annotations": []}
{"role": "student", "content": "inverse i got 1/-10?", "session_id": 3584, "sequence_id": 123, "annotations": []}
{"role": "volunteer", "content": "The full inverse should be a 2x2 matrix. Are you talking about the determinant term (1/ad-bc)?", "session_id": 3584, "sequence_id": 124, "annotations": []}
{"role": "student", "content": "yes", "session_id": 3584, "sequence_id": 125, "annotations": []}
{"role": "volunteer", "content": "Gotcha! Check your work. Be careful about the sign!", "session_id": 3584, "sequence_id": 126, "annotations": []}
{"role": "student", "content": "(0*2=0)-(-10*1)   0-(-10)=-10? then we put the one over it 1/-10?", "session_id": 3584, "sequence_id": 127, "annotations": []}
{"role": "volunteer", "content": "Check the last step there", "session_id": 3584, "sequence_id": 128, "annotations": []}
{"role": "volunteer", "content": "What's 0-(-10)?", "session_id": 3584, "sequence_id": 129, "annotations": []}
{"role": "student", "content": "what keep change flip so it would be 1/10", "session_id": 3584, "sequence_id": 130, "annotations": []}
{"role": "volunteer", "content": "Yep! I can show you a really dumb trick", "session_id": 3584, "sequence_id": 131, "annotations": []}
{"role": "student", "content": "okay!", "session_id": 3584, "sequence_id": 132, "annotations": []}
{"role": "volunteer", "content": "There's a lot of lines between the 0 and the 10", "session_id": 3584, "sequence_id": 133, "annotations": []}
{"role": "volunteer", "content": "But if you squint, it becomes a big \"+\"!", "session_id": 3584, "sequence_id": 134, "annotations": []}
{"role": "student", "content": "lol kinda", "session_id": 3584, "sequence_id": 135, "annotations": []}
{"role": "volunteer", "content": "Oh well, that's what I do in my head :)", "session_id": 3584, "sequence_id": 136, "annotations": []}
{"role": "volunteer", "content": "Keeping track of sign is hard", "session_id": 3584, "sequence_id": 137, "annotations": []}
{"role": "volunteer", "content": "But subtracting a negative turns it into addition!", "session_id": 3584, "sequence_id": 138, "annotations": []}
{"role": "student", "content": "one of my old teachers taught me keep change flip", "session_id": 3584, "sequence_id": 139, "annotations": []}
{"role": "volunteer", "content": "That also works! Whatever's easier", "session_id": 3584, "sequence_id": 140, "annotations": []}
{"role": "volunteer", "content": "Anyway, we found 1/(ad-bc) = 1/10", "session_id": 3584, "sequence_id": 141, "annotations": []}
{"role": "volunteer", "content": "What's the full inverse of the [0 -10 1 2] matrix?", "session_id": 3584, "sequence_id": 142, "annotations": []}
{"role": "student", "content": "is it [1/5 1 -1/10 0]??", "session_id": 3584, "sequence_id": 143, "annotations": []}
{"role": "volunteer", "content": "Perfect!", "session_id": 3584, "sequence_id": 144, "annotations": []}
{"role": "volunteer", "content": "Now what do you do?", "session_id": 3584, "sequence_id": 145, "annotations": []}
{"role": "student", "content": "multiply that on both sides", "session_id": 3584, "sequence_id": 146, "annotations": []}
{"role": "volunteer", "content": "Right! Then on the left, you get A", "session_id": 3584, "sequence_id": 147, "annotations": []}
{"role": "volunteer", "content": "And what do you get on the right?", "session_id": 3584, "sequence_id": 148, "annotations": []}
{"role": "student", "content": "[-10 -40 7/2 11]???", "session_id": 3584, "sequence_id": 149, "annotations": []}
{"role": "volunteer", "content": "Hmm, that's not what I got", "session_id": 3584, "sequence_id": 150, "annotations": []}
{"role": "volunteer", "content": "I think I see what happend", "session_id": 3584, "sequence_id": 151, "annotations": []}
{"role": "student", "content": "?", "session_id": 3584, "sequence_id": 152, "annotations": []}
{"role": "volunteer", "content": "Did you do this multiplication?", "session_id": 3584, "sequence_id": 153, "annotations": []}
{"role": "student", "content": "yes...", "session_id": 3584, "sequence_id": 154, "annotations": []}
{"role": "volunteer", "content": "Ah, this is an important thing to keep in mind.", "session_id": 3584, "sequence_id": 155, "annotations": []}
{"role": "volunteer", "content": "Matrices are weird]", "session_id": 3584, "sequence_id": 156, "annotations": []}
{"role": "volunteer", "content": "With numbers, order in multiplication doesn't matter.", "session_id": 3584, "sequence_id": 157, "annotations": []}
{"role": "volunteer", "content": "2*3 = 3*2", "session_id": 3584, "sequence_id": 158, "annotations": []}
{"role": "volunteer", "content": "With matrices it DOES matter", "session_id": 3584, "sequence_id": 159, "annotations": []}
{"role": "student", "content": "oh ok", "session_id": 3584, "sequence_id": 160, "annotations": []}
{"role": "volunteer", "content": "So if you multiply both sides of an equation by an inverse matrix, you have to make sure it's the SAME SIDE of both sides of the equation", "session_id": 3584, "sequence_id": 161, "annotations": []}
{"role": "student", "content": "ok", "session_id": 3584, "sequence_id": 162, "annotations": []}
{"role": "volunteer", "content": "FWIW, you did do the multiplication correctly!", "session_id": 3584, "sequence_id": 163, "annotations": []}
{"role": "volunteer", "content": "It's just the wrong multiplication :(", "session_id": 3584, "sequence_id": 164, "annotations": []}
{"role": "student", "content": "FWIW??", "session_id": 3584, "sequence_id": 165, "annotations": []}
{"role": "volunteer", "content": "For what it's worth", "session_id": 3584, "sequence_id": 166, "annotations": []}
{"role": "student", "content": "oh ok", "session_id": 3584, "sequence_id": 167, "annotations": []}
{"role": "volunteer", "content": "I'm too old", "session_id": 3584, "sequence_id": 168, "annotations": []}
{"role": "student", "content": "nah i just dont get out much", "session_id": 3584, "sequence_id": 169, "annotations": []}
{"role": "volunteer", "content": "relatable", "session_id": 3584, "sequence_id": 170, "annotations": []}
{"role": "student", "content": "so the answer would be [3 -9 4 -2]??", "session_id": 3584, "sequence_id": 171, "annotations": []}
{"role": "volunteer", "content": "That looks right!", "session_id": 3584, "sequence_id": 172, "annotations": []}
{"role": "student", "content": "yay", "session_id": 3584, "sequence_id": 173, "annotations": []}
{"role": "volunteer", "content": "Nice work on that one! You picked up matrix multiplication real quick", "session_id": 3584, "sequence_id": 174, "annotations": []}
{"role": "volunteer", "content": "It's pretty weird and hard to get right in my experience", "session_id": 3584, "sequence_id": 175, "annotations": []}
{"role": "volunteer", "content": "Any questions now?", "session_id": 3584, "sequence_id": 176, "annotations": []}
{"role": "student", "content": "well i had great help and no", "session_id": 3584, "sequence_id": 177, "annotations": []}
{"role": "volunteer", "content": "Thanks! To recap:", "session_id": 3584, "sequence_id": 178, "annotations": []}
{"role": "volunteer", "content": "These sorts of problems are just like the ones you'", "session_id": 3584, "sequence_id": 179, "annotations": []}
{"role": "volunteer", "content": "ve done bnefore with numbers", "session_id": 3584, "sequence_id": 180, "annotations": []}
{"role": "volunteer", "content": "like 3B = 6", "session_id": 3584, "sequence_id": 181, "annotations": []}
{"role": "volunteer", "content": "It's just that everything is harder with matrices", "session_id": 3584, "sequence_id": 182, "annotations": []}
{"role": "volunteer", "content": "You just kind of know the inverse of 3 is 1/3", "session_id": 3584, "sequence_id": 183, "annotations": []}
{"role": "student", "content": "yah def", "session_id": 3584, "sequence_id": 184, "annotations": []}
{"role": "volunteer", "content": "But for matrices you have to do this whole thing", "session_id": 3584, "sequence_id": 185, "annotations": []}
{"role": "volunteer", "content": "And the other critical bit", "session_id": 3584, "sequence_id": 186, "annotations": []}
{"role": "volunteer", "content": "Is that the order of multiplication matters", "session_id": 3584, "sequence_id": 187, "annotations": []}
{"role": "volunteer", "content": "so if you want to cancel the 3 in \"3B\", then you have to multiply on the left", "session_id": 3584, "sequence_id": 188, "annotations": []}
{"role": "volunteer", "content": "for both sides of the equation", "session_id": 3584, "sequence_id": 189, "annotations": []}
{"role": "student", "content": "understood", "session_id": 3584, "sequence_id": 190, "annotations": []}
{"role": "volunteer", "content": "Awesome!", "session_id": 3584, "sequence_id": 191, "annotations": []}
{"role": "volunteer", "content": "Have a good rest of your night!", "session_id": 3584, "sequence_id": 192, "annotations": []}
{"role": "student", "content": "you too!", "session_id": 3584, "sequence_id": 193, "annotations": []}
{"role": "student", "content": "bye", "session_id": 3584, "sequence_id": 194, "annotations": []}
{"role": "volunteer", "content": "Hi, how can I help?", "session_id": 3656, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "I need help working on my review assignment", "session_id": 3656, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "okay", "session_id": 3656, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "9 review assignment: exponential functions", "session_id": 3656, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "can you upload ?", "session_id": 3656, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "yes", "session_id": 3656, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 3656, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "State if each sequence is arithmetic, geometric, or neither. If the sequence is arithmetic, identify the common difference, d If the sequence is geometric, identify the common ratio, r. 32,38,44,50", "session_id": 3656, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "can u unmute", "session_id": 3656, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "my speaker is not working", "session_id": 3656, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "I will type here if that is okay", "session_id": 3656, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "An arithmetic sequence has a constant difference between consecutive terms, since the difference is the same each time, the sequence is arithmetic.", "session_id": 3656, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "common difference d=6", "session_id": 3656, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "yes that's ok", "session_id": 3656, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "38-32=6, 44-38=6, 50-44=6", "session_id": 3656, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "thanks", "session_id": 3656, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "so this arithmetic", "session_id": 3656, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 3656, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "2,-10,50,-250", "session_id": 3656, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "it is not arithmetic, check if it is geometric, find the common ratio", "session_id": 3656, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "-5", "session_id": 3656, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "yes, he ratio is -5, so the sequence is geometric.", "session_id": 3656, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "but how u know that", "session_id": 3656, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "so first check if it is arithmetic, find the difference between each the terms like we did for the 1st problem", "session_id": 3656, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "if they are not same, then it is not arithmetic", "session_id": 3656, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "then check for geometric, find the common ratio", "session_id": 3656, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "if the ratio the same, then it is geometric", "session_id": 3656, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "here's how you do it", "session_id": 3656, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "check the whiteboard", "session_id": 3656, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "ok", "session_id": 3656, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "questions?", "session_id": 3656, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "did you get it?", "session_id": 3656, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "so for arithmetic it has to be the same", "session_id": 3656, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "yes, differences between two consecutive terms has to be the same", "session_id": 3656, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "are you trying to clear the whiteboard?", "session_id": 3656, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "no not the whole whiteboard just what I did", "session_id": 3656, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "oh okay", "session_id": 3656, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "So what does geometric mean?", "session_id": 3656, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "A geometric sequence is a sequence where you multiply by the same number each time to get the next term.", "session_id": 3656, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "oh ok", "session_id": 3656, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "For example, in the sequence \n2,\u221210,50,\u2212250, each term is found by multiplying the previous term by \n\u22125. That number is called the common ratio.", "session_id": 3656, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "are you still here?", "session_id": 3656, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "yes", "session_id": 3656, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "okay", "session_id": 3656, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "do you have other problems you want to work on?", "session_id": 3656, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "no", "session_id": 3656, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "thank u for the help", "session_id": 3656, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "have a great rest of your day", "session_id": 3656, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "you welcome", "session_id": 3656, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "and you too", "session_id": 3656, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "bye", "session_id": 3656, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "hi Emma", "session_id": 3648, "sequence_id": 0, "annotations": [{"pii_type": "PERSON", "surrogate": "Emma", "start": 3, "end": 7}]}
{"role": "student", "content": "hey", "session_id": 3648, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "I need help with math review", "session_id": 3648, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "exponentials", "session_id": 3648, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "yes", "session_id": 3648, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "It says to write an exponential function for the graph that passes through 16 ,.", "session_id": 3648, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "r u able to turn ur mic on", "session_id": 3648, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "you can use mic. I'm not alone, and can't use my mic or speakers", "session_id": 3648, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "(1,6) and (2,12)", "session_id": 3648, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "was", "session_id": 3648, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "How are you able to do this", "session_id": 3648, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "(1, 6) or (1, 16)?", "session_id": 3648, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "It's 16.", "session_id": 3648, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "It's 1.6.", "session_id": 3648, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "and an E parenthesis 212.", "session_id": 3648, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "you said 16 , before", "session_id": 3648, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "(1,6) and (2,12)", "session_id": 3648, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "you meant (1, 6) and (2, 12)?", "session_id": 3648, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "Yeah, that's what I meant. But when you say into the mic, it doesn't say it like that.", "session_id": 3648, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "mic translation is not perfect", "session_id": 3648, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "Yeah, you're right.", "session_id": 3648, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "What's the formula for this?", "session_id": 3648, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "this seems linear to me", "session_id": 3648, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "oh, maybe we can fit an exponential to it", "session_id": 3648, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "wait", "session_id": 3648, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "give me a minute to think", "session_id": 3648, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "plug in 1 for x and 2 for y. see what you get for a", "session_id": 3648, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "ok", "session_id": 3648, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "y=3x2^x", "session_id": 3648, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "ah, that works", "session_id": 3648, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "the y values of 6 and 12 made me think that 2 was the base", "session_id": 3648, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "after that, you just have to try a few things to see what works", "session_id": 3648, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "I think y=6 times 2^(x-1) also works", "session_id": 3648, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "you still here?", "session_id": 3648, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "I'm leaving in 2 minutes, again", "session_id": 3648, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "yes", "session_id": 3648, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "wait why", "session_id": 3648, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "I was going to leave because you weren't responding", "session_id": 3648, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "oh ok", "session_id": 3648, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "sorry was doing something else", "session_id": 3648, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "but I'm back", "session_id": 3648, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "are you staying here with me, now?", "session_id": 3648, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "yes", "session_id": 3648, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "got another math problem?", "session_id": 3648, "sequence_id": 43, "annotations": []}
{"role": "student", "content": "like the same but different points (1,2) and (3,50)", "session_id": 3648, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "does any base come to mind?", "session_id": 3648, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "this time going from x=1 to x=3", "session_id": 3648, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "what is the base", "session_id": 3648, "sequence_id": 47, "annotations": []}
{"role": "student", "content": "x=3", "session_id": 3648, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "the base is the number that you raise to power x", "session_id": 3648, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "no, not 3", "session_id": 3648, "sequence_id": 50, "annotations": []}
{"role": "student", "content": "1", "session_id": 3648, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "no", "session_id": 3648, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "if x goes up by 2, that means the exponent of the base goes up by 2", "session_id": 3648, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "b^1 becomes b^3", "session_id": 3648, "sequence_id": 54, "annotations": []}
{"role": "student", "content": "oh ok", "session_id": 3648, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "multiplying twice times base b, takes 2 up to 50", "session_id": 3648, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "divide 50 by 2 and take the square root", "session_id": 3648, "sequence_id": 57, "annotations": []}
{"role": "student", "content": "so 5", "session_id": 3648, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "yeah", "session_id": 3648, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "2 times 5 once gets you to 10. times 5 again gets you to 50.", "session_id": 3648, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "just need to find a", "session_id": 3648, "sequence_id": 61, "annotations": []}
{"role": "student", "content": "how to do that", "session_id": 3648, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "plug in some known values for (x, y)", "session_id": 3648, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "they gave you 2 (x, y) pairs", "session_id": 3648, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "if you work on the board, I can help you.", "session_id": 3648, "sequence_id": 65, "annotations": []}
{"role": "student", "content": "ok", "session_id": 3648, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "I can't stay much longer", "session_id": 3648, "sequence_id": 67, "annotations": []}
{"role": "student", "content": "ok", "session_id": 3648, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "and I can't help you if you don't put anything on the board", "session_id": 3648, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "do you understand what I'm asking you to do?", "session_id": 3648, "sequence_id": 70, "annotations": []}
{"role": "student", "content": "is that the answer", "session_id": 3648, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 3648, "sequence_id": 72, "annotations": []}
{"role": "student", "content": "do u have to go", "session_id": 3648, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "I can get you started on 1 more", "session_id": 3648, "sequence_id": 74, "annotations": []}
{"role": "student", "content": "ok", "session_id": 3648, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "might not have time to finish it", "session_id": 3648, "sequence_id": 76, "annotations": []}
{"role": "student", "content": "So the next question says rentals in a high-rise apartment building get more expensive, higher up since the you get better, the ground floor and 40 rent is", "session_id": 3648, "sequence_id": 77, "annotations": []}
{"role": "student", "content": "260, the rent increases 2% for waive the rent on the 6th floor.", "session_id": 3648, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "I don't think that translated well", "session_id": 3648, "sequence_id": 79, "annotations": []}
{"role": "student", "content": "Rentals in a high-rise apartment building get more expensive higher up since the views get better, the ground floor rent is", "session_id": 3648, "sequence_id": 80, "annotations": []}
{"role": "student", "content": "1,260.00. The rent increases 2% per for waive the rent on the 6th floor.", "session_id": 3648, "sequence_id": 81, "annotations": []}
{"role": "volunteer", "content": "waive?", "session_id": 3648, "sequence_id": 82, "annotations": []}
{"role": "student", "content": "No, it's what?", "session_id": 3648, "sequence_id": 83, "annotations": []}
{"role": "student", "content": "I'll read it one more time.", "session_id": 3648, "sequence_id": 84, "annotations": []}
{"role": "volunteer", "content": "The rent increases 2% per for waive the rent on the 6th floor.", "session_id": 3648, "sequence_id": 85, "annotations": []}
{"role": "student", "content": "Rentals in a high-rise apartment building get more expensive, higher up since the views get better, the ground floor floor 0, rent is, so rent increases 2% per floor. What is the rent on the 6th floor?", "session_id": 3648, "sequence_id": 86, "annotations": []}
{"role": "student", "content": "The number is 1.260.00.", "session_id": 3648, "sequence_id": 87, "annotations": []}
{"role": "student", "content": "Is that clear?", "session_id": 3648, "sequence_id": 88, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 3648, "sequence_id": 89, "annotations": []}
{"role": "volunteer", "content": "if rent on second 1st floor is 2% higher than on ground floor, what number would you multiply times 1260?", "session_id": 3648, "sequence_id": 90, "annotations": []}
{"role": "student", "content": "2", "session_id": 3648, "sequence_id": 91, "annotations": []}
{"role": "volunteer", "content": "no", "session_id": 3648, "sequence_id": 92, "annotations": []}
{"role": "volunteer", "content": "twice as much is an increase of%", "session_id": 3648, "sequence_id": 93, "annotations": []}
{"role": "volunteer", "content": "what is 2% as a decimal?", "session_id": 3648, "sequence_id": 94, "annotations": []}
{"role": "student", "content": "0.2", "session_id": 3648, "sequence_id": 95, "annotations": []}
{"role": "volunteer", "content": "no", "session_id": 3648, "sequence_id": 96, "annotations": []}
{"role": "student", "content": "or 0.02", "session_id": 3648, "sequence_id": 97, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 3648, "sequence_id": 98, "annotations": []}
{"role": "volunteer", "content": "so if we multiply some number times 1.02, the 1 gives you the original price and the .02 adds an extra 2%", "session_id": 3648, "sequence_id": 99, "annotations": []}
{"role": "volunteer", "content": "1260 * (1.02) would be the price on 1st floor", "session_id": 3648, "sequence_id": 100, "annotations": []}
{"role": "volunteer", "content": "if you go up to 2nd floor, price goes  up another 2%, so we would multiply times 1.02 again, right?", "session_id": 3648, "sequence_id": 101, "annotations": []}
{"role": "volunteer", "content": "Emma?", "session_id": 3648, "sequence_id": 102, "annotations": [{"pii_type": "PERSON", "surrogate": "Emma", "start": 0, "end": 4}]}
{"role": "student", "content": "sorry eating dinner", "session_id": 3648, "sequence_id": 103, "annotations": []}
{"role": "volunteer", "content": "well, I'm going now to cook my dinner", "session_id": 3648, "sequence_id": 104, "annotations": []}
{"role": "volunteer", "content": "Bye", "session_id": 3648, "sequence_id": 105, "annotations": []}
{"role": "student", "content": "bye have a great night", "session_id": 3648, "sequence_id": 106, "annotations": []}
{"role": "student", "content": "Hello", "session_id": 3716, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "????", "session_id": 3716, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "u there?", "session_id": 3716, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "Hello!", "session_id": 3716, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "hi", "session_id": 3716, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "mics?", "session_id": 3716, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "yes sure!", "session_id": 3716, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "Hello?", "session_id": 3716, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "Hi", "session_id": 3716, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "How are you", "session_id": 3716, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "I'm good. How are you? Can you hear me properly?", "session_id": 3716, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 3716, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "Yeah. OK, great.", "session_id": 3716, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 3716, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "So", "session_id": 3716, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "what do you need help in?", "session_id": 3716, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "Um", "session_id": 3716, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "math", "session_id": 3716, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 3716, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "So, would, like, do you have homework of it?", "session_id": 3716, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "No, not really. As I'm just trying to like", "session_id": 3716, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "understand it more, I guess.", "session_id": 3716, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "Mhm, OK, sure. So, um, what's the topic?", "session_id": 3716, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "Um.", "session_id": 3716, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "uh,", "session_id": 3716, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "algebra", "session_id": 3716, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "Algebra, OK. So is it like?", "session_id": 3716, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "do you have a graphing? Do you have factoring", "session_id": 3716, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "or is it just", "session_id": 3716, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "Uh gra", "session_id": 3716, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "graphing", "session_id": 3716, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "Mhm.", "session_id": 3716, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "So", "session_id": 3716, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "let me", "session_id": 3716, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "give you this", "session_id": 3716, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "OK.", "session_id": 3716, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "I will send you", "session_id": 3716, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "OK", "session_id": 3716, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "this. OK, I'm just gonna write it down and see if you can graph it for me.", "session_id": 3716, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "OK OK", "session_id": 3716, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "So Y equals", "session_id": 3716, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "X^2", "session_id": 3716, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "+", "session_id": 3716, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "6", "session_id": 3716, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "X", "session_id": 3716, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "+9", "session_id": 3716, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "I think you can graph it for me", "session_id": 3716, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "Uh", "session_id": 3716, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "Have you learned quadratics", "session_id": 3716, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "Like quadratic equations.", "session_id": 3716, "sequence_id": 49, "annotations": []}
{"role": "student", "content": "No", "session_id": 3716, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "No, OK, I'm sorry. So,", "session_id": 3716, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "let me give you", "session_id": 3716, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "have you learned how to graph lines.", "session_id": 3716, "sequence_id": 53, "annotations": []}
{"role": "student", "content": "No.", "session_id": 3716, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "No? OK, so what, so what", "session_id": 3716, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "question would you get for graphing? Would you like", "session_id": 3716, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "would they give you a graph and then ask you questions like the domain range.", "session_id": 3716, "sequence_id": 57, "annotations": []}
{"role": "student", "content": "Uh,", "session_id": 3716, "sequence_id": 58, "annotations": []}
{"role": "student", "content": "well, basically, I'm just trying to like, I don't really know because I'm homeschooled.", "session_id": 3716, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 3716, "sequence_id": 60, "annotations": []}
{"role": "student", "content": "Can you hang on a second?", "session_id": 3716, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "Yeah, sure", "session_id": 3716, "sequence_id": 62, "annotations": []}
{"role": "student", "content": "Hey, sorry about that. I'm actually gonna have to go.", "session_id": 3716, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "OK, no problem", "session_id": 3716, "sequence_id": 64, "annotations": []}
{"role": "student", "content": "Bye.", "session_id": 3716, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "Bye", "session_id": 3716, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "hello", "session_id": 4894, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "\ud83d\udc4b\ud83c\udffc.", "session_id": 4894, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "Welcome to Charlie. How may I help you this afternoon?", "session_id": 4894, "sequence_id": 2, "annotations": [{"pii_type": "PERSON", "surrogate": "Charlie", "start": 11, "end": 18}]}
{"role": "student", "content": "Need help with a packet of work in a few minutes.", "session_id": 4894, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "In a few minutes\"", "session_id": 4894, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "?", "session_id": 4894, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "Yes.", "session_id": 4894, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "I am not sure what you mean.", "session_id": 4894, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "I need help with a packet of math work in a few minutes? What\u2019s confusing", "session_id": 4894, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "I don\u2019t understand", "session_id": 4894, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "Do you have a problem that you want to work on now?", "session_id": 4894, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "I will during my lunch which is in 4 minutes.", "session_id": 4894, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "Do you have time to wait of no?", "session_id": 4894, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "Or", "session_id": 4894, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "Sorry.  You should make your request when you are ready.", "session_id": 4894, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "I don't hold my sessions open waiting.", "session_id": 4894, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "hi!", "session_id": 4906, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "Hewoo", "session_id": 4906, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "Sarah :)", "session_id": 4906, "sequence_id": 2, "annotations": [{"pii_type": "PERSON", "surrogate": "Sarah", "start": 0, "end": 5}]}
{"role": "volunteer", "content": "good - what can i help with?", "session_id": 4906, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "Solving proportions :)", "session_id": 4906, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 4906, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "we start by \"cross multiplying\"", "session_id": 4906, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "oki", "session_id": 4906, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "12*12=11P", "session_id": 4906, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "now multiply 12*12 and what do u get", "session_id": 4906, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "now divide both sides by 11", "session_id": 4906, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "so what is p?", "session_id": 4906, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "or approximately 13", "session_id": 4906, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "yep", "session_id": 4906, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "next question? :)", "session_id": 4906, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "well thanks for helping me", "session_id": 4906, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "i just learned something new today :)", "session_id": 4906, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "thank you!", "session_id": 4906, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "I hope you have a great rest of your day Mr. Thompson :)", "session_id": 4906, "sequence_id": 18, "annotations": [{"pii_type": "PERSON", "surrogate": "Mr. Thompson", "start": 41, "end": 53}]}
{"role": "volunteer", "content": "you too", "session_id": 4906, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "Hi!", "session_id": 4896, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "hi can you help me", "session_id": 4896, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "of course!", "session_id": 4896, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "899x7999", "session_id": 4896, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "okay", "session_id": 4896, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "one sec", "session_id": 4896, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "7,191,001", "session_id": 4896, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "stay here in case you need more help", "session_id": 4896, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "what about 455xx666", "session_id": 4896, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "303,030", "session_id": 4896, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "thank you", "session_id": 4896, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "https://www.mathplayground.com", "session_id": 4896, "sequence_id": 11, "annotations": [{"pii_type": "URL", "surrogate": "https://www.mathplayground.com", "start": 0, "end": 30}]}
{"role": "volunteer", "content": "watch that real quick", "session_id": 4896, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "ok", "session_id": 4896, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "woah", "session_id": 4896, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "that's innapropriate", "session_id": 4896, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "69 x 4", "session_id": 4896, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "oh ok", "session_id": 4896, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "276", "session_id": 4896, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "Hello, how is it going?", "session_id": 4937, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "What can I help you with today?", "session_id": 4937, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "I would like for a deep understanding for algebra 2", "session_id": 4937, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "Like an overview?", "session_id": 4937, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "Yes for solving quadratic equations by factoring ", "session_id": 4937, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "Oh, you would like to go over that specifically?", "session_id": 4937, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "Or just an overview of what it looks like?", "session_id": 4937, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "Just an overview ", "session_id": 4937, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "Alright, cool.", "session_id": 4937, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "Well, I'm assuming you have some foundation with factoring quadratic equations, yes?", "session_id": 4937, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "Like x^2+6x+9 - those types of equations.", "session_id": 4937, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 4937, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "Yeah.", "session_id": 4937, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "Alright.", "session_id": 4937, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "Well Algebra 2 expands on that (a little bit).", "session_id": 4937, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "You might be asked to solve for the roots given a quadratic equation set equal to 0. I'll give an example:", "session_id": 4937, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "(3n-2)(4n+1) = 0; solve for n.", "session_id": 4937, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "You might be asked to solve for the following:", "session_id": 4937, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "2x^2+8x+9 = 0; solve for x.", "session_id": 4937, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "If it can't be factored, use the quadratic formula!", "session_id": 4937, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "You might be also asked to factor a quadratic expression when a is not equal to 1.", "session_id": 4937, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "Meaning the leading term is not x^2.", "session_id": 4937, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "It would be like 2x^2 or even 5x^2. Anything than x^2.", "session_id": 4937, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "You also might be asked to interpret different quadratic equations via word problems.", "session_id": 4937, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "That's probably the core of what you're being tested on though.", "session_id": 4937, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "I would assume there is nothing else, but if there is, you have the skills!", "session_id": 4937, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "Alright thank you very much", "session_id": 4937, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "Of course.", "session_id": 4937, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "Is that all?", "session_id": 4937, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "Yes that\u2019s all thank you for helping me, I was having difficulty remembering but now I remember ", "session_id": 4937, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "Hi Jamie, I'm Chris, how can I help?", "session_id": 4944, "sequence_id": 0, "annotations": [{"pii_type": "PERSON", "surrogate": "Jamie", "start": 3, "end": 8}, {"pii_type": "PERSON", "surrogate": "Chris", "start": 14, "end": 19}]}
{"role": "student", "content": "Could you help me with exponent rules?", "session_id": 4944, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "For sure!", "session_id": 4944, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "Just to clarify you mean things like x^0=1", "session_id": 4944, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 4944, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "or y^6 times y^6=y^12", "session_id": 4944, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "Awesome, do you have any problems you want to work on or should I write them?", "session_id": 4944, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "It would be fine if you wrote them", "session_id": 4944, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "Cool, let's start with what an exponent literally means", "session_id": 4944, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "6 to the third power is the same as?", "session_id": 4944, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "6x6x6", "session_id": 4944, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "Perfect!", "session_id": 4944, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "how about y to the third power", "session_id": 4944, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "(y)x(y)x(y)", "session_id": 4944, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "Great, so how about y to 6th power times to y to the 11th power", "session_id": 4944, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "in terms of powers", "session_id": 4944, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "you don't have to write y x y x y x y etc.", "session_id": 4944, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "y to what power", "session_id": 4944, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "17", "session_id": 4944, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "Perfect!", "session_id": 4944, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "can you look at the board", "session_id": 4944, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "this one is a little hard to write in this format", "session_id": 4944, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "or actually let me change it a little", "session_id": 4944, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "what is y to the 6th power to the third power", "session_id": 4944, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "y to the 18th power", "session_id": 4944, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "Exactly, because its the same as y to the 6th times y to the 6th times y to the 6th right", "session_id": 4944, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 4944, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "how about y to the -1", "session_id": 4944, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "1/y", "session_id": 4944, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "y to the -6?", "session_id": 4944, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "6/y", "session_id": 4944, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "not quite", "session_id": 4944, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "y/6", "session_id": 4944, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "well let's think", "session_id": 4944, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "can you see the board?", "session_id": 4944, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 4944, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "if we have y to the third", "session_id": 4944, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "it's y times y times y", "session_id": 4944, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "if we take it down one to y squared", "session_id": 4944, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "it's as if we divided y to the third by y", "session_id": 4944, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "if we divide y squared by y", "session_id": 4944, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "we get y to the first", "session_id": 4944, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "if we divide y to the first by y", "session_id": 4944, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "we get y to 0", "session_id": 4944, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "and what is y to the -1?", "session_id": 4944, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "1/y", "session_id": 4944, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "which is 1 divided by y", "session_id": 4944, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "what's 1/y divided by y", "session_id": 4944, "sequence_id": 47, "annotations": []}
{"role": "student", "content": "1/y^2", "session_id": 4944, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "Perfect!", "session_id": 4944, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "so y to the -2 is?", "session_id": 4944, "sequence_id": 50, "annotations": []}
{"role": "student", "content": "1/y^2", "session_id": 4944, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "yep!", "session_id": 4944, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "and y to the -3 is?", "session_id": 4944, "sequence_id": 53, "annotations": []}
{"role": "student", "content": "1/y^3", "session_id": 4944, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "and y to the -8?", "session_id": 4944, "sequence_id": 55, "annotations": []}
{"role": "student", "content": "1/y^8", "session_id": 4944, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "Amazing!", "session_id": 4944, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "Does it make sense how we got there?", "session_id": 4944, "sequence_id": 58, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 4944, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "Great!", "session_id": 4944, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "do you have to know how to raise a number to a fraction", "session_id": 4944, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "like y to the 1/2?", "session_id": 4944, "sequence_id": 62, "annotations": []}
{"role": "student", "content": "no", "session_id": 4944, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "alright, how about y to the 6th divided by y to the third?", "session_id": 4944, "sequence_id": 64, "annotations": []}
{"role": "student", "content": "y^3", "session_id": 4944, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "Yep!", "session_id": 4944, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "(wx)^2?", "session_id": 4944, "sequence_id": 67, "annotations": []}
{"role": "student", "content": "(w^2x^2)", "session_id": 4944, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "Perfect!", "session_id": 4944, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "do you have to know how to do (w+x)^2?", "session_id": 4944, "sequence_id": 70, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 4944, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "and it is?", "session_id": 4944, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "It's alright if you're not sure", "session_id": 4944, "sequence_id": 73, "annotations": []}
{"role": "student", "content": "im not sure", "session_id": 4944, "sequence_id": 74, "annotations": []}
{"role": "volunteer", "content": "Well let's start with it in it's most basic form", "session_id": 4944, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "(w+x)^2 =(w+x)(w+x) right?", "session_id": 4944, "sequence_id": 76, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 4944, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "so, how do we multiply (w+x)(w+x)", "session_id": 4944, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "are you familiar with distributive property?", "session_id": 4944, "sequence_id": 79, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 4944, "sequence_id": 80, "annotations": []}
{"role": "volunteer", "content": "well if we have (w+x)(w+x)", "session_id": 4944, "sequence_id": 81, "annotations": []}
{"role": "volunteer", "content": "we can do what's called the rainbow method", "session_id": 4944, "sequence_id": 82, "annotations": []}
{"role": "volunteer", "content": "basically you multiply w(w+x)", "session_id": 4944, "sequence_id": 83, "annotations": []}
{"role": "volunteer", "content": "and x(w+x)", "session_id": 4944, "sequence_id": 84, "annotations": []}
{"role": "student", "content": "ok", "session_id": 4944, "sequence_id": 85, "annotations": []}
{"role": "volunteer", "content": "and add the result", "session_id": 4944, "sequence_id": 86, "annotations": []}
{"role": "volunteer", "content": "so what's w x w", "session_id": 4944, "sequence_id": 87, "annotations": []}
{"role": "student", "content": "w^2", "session_id": 4944, "sequence_id": 88, "annotations": []}
{"role": "volunteer", "content": "w times x?", "session_id": 4944, "sequence_id": 89, "annotations": []}
{"role": "student", "content": "wx", "session_id": 4944, "sequence_id": 90, "annotations": []}
{"role": "volunteer", "content": "so that's w(w+x)", "session_id": 4944, "sequence_id": 91, "annotations": []}
{"role": "volunteer", "content": "now what's x times w", "session_id": 4944, "sequence_id": 92, "annotations": []}
{"role": "student", "content": "xw", "session_id": 4944, "sequence_id": 93, "annotations": []}
{"role": "volunteer", "content": "and x times x", "session_id": 4944, "sequence_id": 94, "annotations": []}
{"role": "student", "content": "x^2", "session_id": 4944, "sequence_id": 95, "annotations": []}
{"role": "volunteer", "content": "Perfect!", "session_id": 4944, "sequence_id": 96, "annotations": []}
{"role": "volunteer", "content": "and what two things can we combine", "session_id": 4944, "sequence_id": 97, "annotations": []}
{"role": "student", "content": "wx and xw", "session_id": 4944, "sequence_id": 98, "annotations": []}
{"role": "volunteer", "content": "And they turn into?", "session_id": 4944, "sequence_id": 99, "annotations": []}
{"role": "student", "content": "w^2x^2", "session_id": 4944, "sequence_id": 100, "annotations": []}
{"role": "volunteer", "content": "wx + wx = w^2x^2?", "session_id": 4944, "sequence_id": 101, "annotations": []}
{"role": "volunteer", "content": "not quite", "session_id": 4944, "sequence_id": 102, "annotations": []}
{"role": "student", "content": "2wx", "session_id": 4944, "sequence_id": 103, "annotations": []}
{"role": "volunteer", "content": "Perfect", "session_id": 4944, "sequence_id": 104, "annotations": []}
{"role": "volunteer", "content": "so we end up with?", "session_id": 4944, "sequence_id": 105, "annotations": []}
{"role": "student", "content": "w^2+2wx+x^2", "session_id": 4944, "sequence_id": 106, "annotations": []}
{"role": "volunteer", "content": "Yep!", "session_id": 4944, "sequence_id": 107, "annotations": []}
{"role": "volunteer", "content": "Want to try a similar one on your own?", "session_id": 4944, "sequence_id": 108, "annotations": []}
{"role": "student", "content": "sure", "session_id": 4944, "sequence_id": 109, "annotations": []}
{"role": "volunteer", "content": "(x+6)^2", "session_id": 4944, "sequence_id": 110, "annotations": []}
{"role": "student", "content": "x^2+2(6x)+36", "session_id": 4944, "sequence_id": 111, "annotations": []}
{"role": "volunteer", "content": "Yep!", "session_id": 4944, "sequence_id": 112, "annotations": []}
{"role": "volunteer", "content": "and 2(6x) is?", "session_id": 4944, "sequence_id": 113, "annotations": []}
{"role": "student", "content": "12x", "session_id": 4944, "sequence_id": 114, "annotations": []}
{"role": "volunteer", "content": "Yep!", "session_id": 4944, "sequence_id": 115, "annotations": []}
{"role": "volunteer", "content": "I think that's all", "session_id": 4944, "sequence_id": 116, "annotations": []}
{"role": "volunteer", "content": "Anything else you'd like help with?", "session_id": 4944, "sequence_id": 117, "annotations": []}
{"role": "student", "content": "Exponents were what I was having trouble with", "session_id": 4944, "sequence_id": 118, "annotations": []}
{"role": "student", "content": "So no", "session_id": 4944, "sequence_id": 119, "annotations": []}
{"role": "volunteer", "content": "Great, and exponents are now making sense?", "session_id": 4944, "sequence_id": 120, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 4944, "sequence_id": 121, "annotations": []}
{"role": "volunteer", "content": "or more you want to review there", "session_id": 4944, "sequence_id": 122, "annotations": []}
{"role": "volunteer", "content": "Awesome!", "session_id": 4944, "sequence_id": 123, "annotations": []}
{"role": "volunteer", "content": "If that's all see you!", "session_id": 4944, "sequence_id": 124, "annotations": []}
{"role": "student", "content": "Thank you", "session_id": 4944, "sequence_id": 125, "annotations": []}
{"role": "student", "content": "Have a good night", "session_id": 4944, "sequence_id": 126, "annotations": []}
{"role": "volunteer", "content": "Of course, you too!", "session_id": 4944, "sequence_id": 127, "annotations": []}
{"role": "volunteer", "content": "Hello Alice, my name is Ben! How can I help you today?", "session_id": 5020, "sequence_id": 0, "annotations": [{"pii_type": "PERSON", "surrogate": "Alice", "start": 6, "end": 11}, {"pii_type": "PERSON", "surrogate": "Ben", "start": 24, "end": 27}]}
{"role": "student", "content": "Hello", "session_id": 5020, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "Im just looking for a topic we can talk about", "session_id": 5020, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "Okay, what can I help you with?", "session_id": 5020, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "multi step equations", "session_id": 5020, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "Okay! Do you have a specific problem in mind?", "session_id": 5020, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "alr like y=15x+23-21x+2", "session_id": 5020, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "So first lets combine like terms! Do you see any?", "session_id": 5020, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "15x and 21x", "session_id": 5020, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "Yes!", "session_id": 5020, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "ok next you do 15x-21x correct?", "session_id": 5020, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "Yes!", "session_id": 5020, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "So what is 15x-21x?", "session_id": 5020, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "it is", "session_id": 5020, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "-6x", "session_id": 5020, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "Yes!", "session_id": 5020, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "And what is 23+2?", "session_id": 5020, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "25", "session_id": 5020, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "Perfect!", "session_id": 5020, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "That is our answer!", "session_id": 5020, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "so -6x+25", "session_id": 5020, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "Yes!", "session_id": 5020, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "4.16?", "session_id": 5020, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "The -6x+25 is as simplified as it can get!", "session_id": 5020, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "ohhh", "session_id": 5020, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "so y=-6x+25", "session_id": 5020, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "Yes!", "session_id": 5020, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "ok thank you", "session_id": 5020, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "Of course! Is there anything else I can help with?", "session_id": 5020, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "slopes", "session_id": 5020, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "like the graph", "session_id": 5020, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "Okay, I only have around 5 minutes left, do you have a picture of the graph?", "session_id": 5020, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "oh then nevermind then lets do 1 more multi step equation", "session_id": 5020, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "Okay!", "session_id": 5020, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "y=6x+7-18x+4", "session_id": 5020, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "Okay try this one on your own and I can check it!", "session_id": 5020, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "ok", "session_id": 5020, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "done", "session_id": 5020, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "Yes!!!!!!! That is right!!", "session_id": 5020, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "Great job!", "session_id": 5020, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "thank you", "session_id": 5020, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "Yes! Have a great rest of your day!", "session_id": 5020, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "alright bye", "session_id": 5020, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "hi, how can I help you?", "session_id": 4933, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "hi could you give me any 2 step algebra 1 regents question for practie", "session_id": 4933, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "practice*", "session_id": 4933, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "what are regents problems?", "session_id": 4933, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "clarify for me a little more and I would be happy to give you some practice problems", "session_id": 4933, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "maybe", "session_id": 4933, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "sorry?", "session_id": 4933, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "Expressions", "session_id": 4933, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "okay", "session_id": 4933, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "ill give you an example problem, let me know if that is not what you are expecting because I have not heard of regents problems.", "session_id": 4933, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "okay", "session_id": 4933, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "try that!", "session_id": 4933, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "what is 31-11?", "session_id": 4933, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "double check that", "session_id": 4933, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "oh sorry", "session_id": 4933, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "x=4", "session_id": 4933, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "correct! make sure to always plug x back in to the origional equation to double check you work. I will put another one up on the board", "session_id": 4933, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "how would do a problem like this with fractions?", "session_id": 4933, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "Is this different than what you usually see?", "session_id": 4933, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 4933, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "wouldn't 1/2= 0.5 ?", "session_id": 4933, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "yes!", "session_id": 4933, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "is x 32?", "session_id": 4933, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "great Job!", "session_id": 4933, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "do you want me to give you a harder question?", "session_id": 4933, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "or stay at the same pace?", "session_id": 4933, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "can we try Inequalities", "session_id": 4933, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "of course!", "session_id": 4933, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "I'm somewhat confused on these questions", "session_id": 4933, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "thats okay! with inequalities, remember that when subtracting and adding numbers you can essentially treat the inequality sign as an equals sign. try to focus on isolating the -7x first! let me know if you need help", "session_id": 4933, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "am I heading the right direction?", "session_id": 4933, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "lets move one step at a time. the first step you made to subtract 2 is correct. rewrite the expression now that you have subtracted 2 from both sides and we can move on from there", "session_id": 4933, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "so we keep the 9?", "session_id": 4933, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "Subtracting 2 from both sides means that the right side is 9 - 2 so you can simplify that!", "session_id": 4933, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "remember to keep the inequality sign", "session_id": 4933, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "would it be -7x-2 < 9 or -7x-2 > 9-2?", "session_id": 4933, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "since we subtracted from both sides we initially have -7x+2-2 <= 9-2. we can reduce the right side by subtracting 2 from 9, and 2 and -2 cancel each other out since -2+2=0. try rewriting the equation now. let me know if I am confusing you!", "session_id": 4933, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "yeah I'm confused could you write it please", "session_id": 4933, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "yes, of course!", "session_id": 4933, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "now we can do the subtraction and we get", "session_id": 4933, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "do you see what I did?", "session_id": 4933, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "yeah 9-2", "session_id": 4933, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "great! now what do we do?", "session_id": 4933, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "I'm not sure", "session_id": 4933, "sequence_id": 43, "annotations": []}
{"role": "student", "content": "divide?", "session_id": 4933, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "yes! remember that when we divide or multiply with negative numbers with inequalities we have to flip the sign of the inequality", "session_id": 4933, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "1> x?", "session_id": 4933, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "this question will be more clear if you keep the x on the left side! if we divide by -7 on both sides, what do we get?", "session_id": 4933, "sequence_id": 47, "annotations": []}
{"role": "student", "content": "-1?", "session_id": 4933, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "yes! we get x <= -1, but remember that we have to flip the sign so what do we get?", "session_id": 4933, "sequence_id": 49, "annotations": []}
{"role": "student", "content": "-1<x?", "session_id": 4933, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "correct! remember that it is -1 is less than or equal to x, as shown by the problem. do you want to try another one of these?", "session_id": 4933, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 4933, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "try that one, and let me know if you want ones that have fractions as answers or in the problem", "session_id": 4933, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "correct!", "session_id": 4933, "sequence_id": 54, "annotations": []}
{"role": "student", "content": "x>6?|", "session_id": 4933, "sequence_id": 55, "annotations": []}
{"role": "student", "content": "oh ok", "session_id": 4933, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "another one?", "session_id": 4933, "sequence_id": 57, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 4933, "sequence_id": 58, "annotations": []}
{"role": "student", "content": "could I try a harder one", "session_id": 4933, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "of course!", "session_id": 4933, "sequence_id": 60, "annotations": []}
{"role": "student", "content": "do I add 3? or subtract", "session_id": 4933, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "you want to cancel out 3, so in this case you chose correctly, add, because -3+3 = 0", "session_id": 4933, "sequence_id": 62, "annotations": []}
{"role": "student", "content": "ok", "session_id": 4933, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "Sorry about the space", "session_id": 4933, "sequence_id": 64, "annotations": []}
{"role": "student", "content": "all good", "session_id": 4933, "sequence_id": 65, "annotations": []}
{"role": "student", "content": "x>-6?", "session_id": 4933, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "two things here. the first thing is that you need to double check 18/-6, and the second thing is to remember that we are multiplying or dividing by a negative, so we have to flip the inequality sign every time. try that again and let me know if you need help!", "session_id": 4933, "sequence_id": 67, "annotations": []}
{"role": "student", "content": "ooh I see", "session_id": 4933, "sequence_id": 68, "annotations": []}
{"role": "student", "content": "x< -3?", "session_id": 4933, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "correct! want me to give you a different topic of your chossing?", "session_id": 4933, "sequence_id": 70, "annotations": []}
{"role": "student", "content": "yeah can we try Solving Multi-Step Equations", "session_id": 4933, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "of course!", "session_id": 4933, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "look at the top of the grid", "session_id": 4933, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "try that one", "session_id": 4933, "sequence_id": 74, "annotations": []}
{"role": "student", "content": "ok", "session_id": 4933, "sequence_id": 75, "annotations": []}
{"role": "student", "content": "can I combine the terms and subtract 3 from 20?", "session_id": 4933, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "yes! this is because the both dont have x in front of them, so they are similar", "session_id": 4933, "sequence_id": 77, "annotations": []}
{"role": "student", "content": "could x be 5.6?", "session_id": 4933, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "we have 3x+17 = 0, so remeber that we need to subtract 17 which gets us 3x=-17", "session_id": 4933, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "*remember", "session_id": 4933, "sequence_id": 80, "annotations": []}
{"role": "volunteer", "content": "so now what is the answer?", "session_id": 4933, "sequence_id": 81, "annotations": []}
{"role": "student", "content": "-5.6?", "session_id": 4933, "sequence_id": 82, "annotations": []}
{"role": "volunteer", "content": "correct!", "session_id": 4933, "sequence_id": 83, "annotations": []}
{"role": "student", "content": "could we try a problem like this with fractions", "session_id": 4933, "sequence_id": 84, "annotations": []}
{"role": "student", "content": "fractions are confusing to me", "session_id": 4933, "sequence_id": 85, "annotations": []}
{"role": "volunteer", "content": "yes! do you want them in the equation or in the answer or both?", "session_id": 4933, "sequence_id": 86, "annotations": []}
{"role": "student", "content": "the equation", "session_id": 4933, "sequence_id": 87, "annotations": []}
{"role": "volunteer", "content": "try that", "session_id": 4933, "sequence_id": 88, "annotations": []}
{"role": "volunteer", "content": "you can keep the numbers in fractions if that is okay with you and is like what you need practice for", "session_id": 4933, "sequence_id": 89, "annotations": []}
{"role": "student", "content": "could do demonstrate the first step please", "session_id": 4933, "sequence_id": 90, "annotations": []}
{"role": "volunteer", "content": "yes!", "session_id": 4933, "sequence_id": 91, "annotations": []}
{"role": "student", "content": "what happened here?\\", "session_id": 4933, "sequence_id": 92, "annotations": []}
{"role": "volunteer", "content": "in order to subtract fractions we needed to have the same denominator, so i turned 2 into 10/5 which is the same thing but with the same denominator as 3/5 so now we can do the subtraction here", "session_id": 4933, "sequence_id": 93, "annotations": []}
{"role": "volunteer", "content": "this is not necessary but makes the problem easier to do without mistakes, so if you find this method uncomfortable you can always do 2x - 3/5x in your head", "session_id": 4933, "sequence_id": 94, "annotations": []}
{"role": "student", "content": "oh ok", "session_id": 4933, "sequence_id": 95, "annotations": []}
{"role": "student", "content": "how would I subtract the fractions", "session_id": 4933, "sequence_id": 96, "annotations": []}
{"role": "student", "content": "is it 7/1?", "session_id": 4933, "sequence_id": 97, "annotations": []}
{"role": "volunteer", "content": "the top is correct, but remember that when adding or subtracting fractions we keep the denominator the same!", "session_id": 4933, "sequence_id": 98, "annotations": []}
{"role": "volunteer", "content": "hello?", "session_id": 4933, "sequence_id": 99, "annotations": []}
{"role": "student", "content": "so what would be the next step", "session_id": 4933, "sequence_id": 100, "annotations": []}
{"role": "volunteer", "content": "well first what is 10/5x-3/5x?", "session_id": 4933, "sequence_id": 101, "annotations": []}
{"role": "student", "content": "7/5x?", "session_id": 4933, "sequence_id": 102, "annotations": []}
{"role": "volunteer", "content": "correct! now what is the equation?", "session_id": 4933, "sequence_id": 103, "annotations": []}
{"role": "student", "content": "6=7/5x?", "session_id": 4933, "sequence_id": 104, "annotations": []}
{"role": "volunteer", "content": "yes! now all that is left is to isolate x in one step", "session_id": 4933, "sequence_id": 105, "annotations": []}
{"role": "student", "content": "how", "session_id": 4933, "sequence_id": 106, "annotations": []}
{"role": "volunteer", "content": "we divide both sides by 7/2, just like we do with any other time we have a variable times a number, say 5x = 1, we would divide both sides by 5", "session_id": 4933, "sequence_id": 107, "annotations": []}
{"role": "student", "content": "could you please do it on the board", "session_id": 4933, "sequence_id": 108, "annotations": []}
{"role": "volunteer", "content": "yes!", "session_id": 4933, "sequence_id": 109, "annotations": []}
{"role": "volunteer", "content": "what is the final answer?", "session_id": 4933, "sequence_id": 110, "annotations": []}
{"role": "student", "content": "I'm not sure", "session_id": 4933, "sequence_id": 111, "annotations": []}
{"role": "volunteer", "content": "when we multiply a number by a fraction all we do is we multiply the numerator by the number and leave the denominator as is. try that now!", "session_id": 4933, "sequence_id": 112, "annotations": []}
{"role": "student", "content": "so 6x5=30 and now divide by 7?", "session_id": 4933, "sequence_id": 113, "annotations": []}
{"role": "volunteer", "content": "correct!", "session_id": 4933, "sequence_id": 114, "annotations": []}
{"role": "student", "content": "so x=4.28?", "session_id": 4933, "sequence_id": 115, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 4933, "sequence_id": 116, "annotations": []}
{"role": "student", "content": "oh thank you for the help", "session_id": 4933, "sequence_id": 117, "annotations": []}
{"role": "student", "content": "have a good night", "session_id": 4933, "sequence_id": 118, "annotations": []}
{"role": "volunteer", "content": "you too!", "session_id": 4933, "sequence_id": 119, "annotations": []}
{"role": "student", "content": "Hello", "session_id": 4978, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "Hello! I am Riverside What how i help you with today?", "session_id": 4978, "sequence_id": 1, "annotations": [{"pii_type": "LOCATION", "surrogate": "Riverside", "start": 12, "end": 21}]}
{"role": "volunteer", "content": "can*", "session_id": 4978, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "Understanding Numerical Expressions", "session_id": 4978, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "I\u2019m having trouble", "session_id": 4978, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "alright", "session_id": 4978, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "I can help you with it can you please tell me what you already know about it", "session_id": 4978, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "Not much but all I know is that when it\u2019s asking to multiply you got to put a multiplication sign in the expression ", "session_id": 4978, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "No problem! i will write an equation on whiteboard or do you have a specific question you want to work with...", "session_id": 4978, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "So on my homework it says Add 6 and 9,and then multiply by 3", "session_id": 4978, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "It\u2019s kinda difficult for me", "session_id": 4978, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "I got you no problem!", "session_id": 4978, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "I put (6+9)  * 3", "session_id": 4978, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "Yes..", "session_id": 4978, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "first you add the 6 with the 9", "session_id": 4978, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "Okay :)", "session_id": 4978, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "And then it asks stuff like what\u2019s 2 times the sum of 5 and 6", "session_id": 4978, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "I don\u2019t get that\u2026", "session_id": 4978, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "could please provide me the full question...", "session_id": 4978, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "Okay", "session_id": 4978, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "Thankyou", "session_id": 4978, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "It says Write a Numerical Expression and one of the questions asks what\u2019s 2 times the sum of 5 and 6 on the homework ", "session_id": 4978, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "And I don\u2019t really know what it means by that", "session_id": 4978, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "so first lets break it down it saying two time which we can tell the word \"times\" means multiplication and then we go to the second part of the question which says the sum of five and six which would be adding the both numbers up...", "session_id": 4978, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "Okay so basically all i am supposed to do is add both of the numbers ?", "session_id": 4978, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "yes let me show it to you on the whiteboard....", "session_id": 4978, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "Okay", "session_id": 4978, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "so basically your are multiplying 5+6 two times", "session_id": 4978, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "which gives you an equation 2(5+6)", "session_id": 4978, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "Do you think you got an idea of it?", "session_id": 4978, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "Yes thank you @MathProAlex!", "session_id": 4978, "sequence_id": 30, "annotations": [{"pii_type": "PERSON", "surrogate": "Alex", "start": 22, "end": 26}]}
{"role": "volunteer", "content": "Your welcome!", "session_id": 4978, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "Have a great great of your evening!", "session_id": 4978, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "thankyou", "session_id": 4978, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "hello", "session_id": 5081, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "example.com this is real?", "session_id": 5081, "sequence_id": 1, "annotations": [{"pii_type": "URL", "surrogate": "example.com", "start": 0, "end": 11}]}
{"role": "volunteer", "content": "Welcome to Tutor Provider!", "session_id": 5081, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "how may I help you?", "session_id": 5081, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "I'm trying to make sure this is not an automated system, and that you're a real person", "session_id": 5081, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "How can you make sure of that?", "session_id": 5081, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "By asking", "session_id": 5081, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "I am indeed a real person.", "session_id": 5081, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "Lol ok", "session_id": 5081, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "do you have a trigonometry questioh?", "session_id": 5081, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "Im really just trying to find a reliable trigonometry tutor for my Tutor Provider.orge's failing 9th year and needs help.", "session_id": 5081, "sequence_id": 10, "annotations": [{"pii_type": "URL", "surrogate": "Tutor Provider.org", "start": 67, "end": 79}, {"pii_type": "GRADE_LEVEL", "surrogate": "9th", "start": 91, "end": 94}]}
{"role": "volunteer", "content": "Well, at this site, she will get a variety of tutors.", "session_id": 5081, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "Great! Thank you for your Tutor Provider.netl have her download the app.Hopefully she can find the guidance she needs here. \ud83d\ude4f\ud83c\udffd have a great day Liam", "session_id": 5081, "sequence_id": 12, "annotations": [{"pii_type": "URL", "surrogate": "Tutor Provider.net", "start": 26, "end": 38}, {"pii_type": "PERSON", "surrogate": "Liam", "start": 138, "end": 142}]}
{"role": "volunteer", "content": "you too!", "session_id": 5081, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "bye", "session_id": 5081, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "Hi Lily!", "session_id": 5083, "sequence_id": 0, "annotations": [{"pii_type": "PERSON", "surrogate": "Lily", "start": 3, "end": 7}]}
{"role": "student", "content": "hi", "session_id": 5083, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "i need help learning natural base \u201ce\u201d because i wasn\u2019t taught it yet", "session_id": 5083, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "OK, do you know anything or are you starting from scratch?", "session_id": 5083, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "starting from scratch", "session_id": 5083, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "i think i\u2019m gonna be applying this to exponential functions btw", "session_id": 5083, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "OK, no problem. Give me a minute though?", "session_id": 5083, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "ok", "session_id": 5083, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "OK, so e is defined as the \"natural base\" becuase the the log of e to the base e is one. ln(e) = 1", "session_id": 5083, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "I'll write it on the board.", "session_id": 5083, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "ok", "session_id": 5083, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "but how does it relate to exponential functions?", "session_id": 5083, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "like growth and decay?", "session_id": 5083, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "So an exponential function is like e^x, so we're doing a power of e.", "session_id": 5083, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "ok", "session_id": 5083, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "so if i had e^.25x would it be growth or decay?", "session_id": 5083, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "So as x increases, what will happen to  y = e^0.25x ?", "session_id": 5083, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "it will increase?", "session_id": 5083, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "yes, because the exponent is positive, the result will grow.", "session_id": 5083, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "and if i had e^-4x it would decrease right?", "session_id": 5083, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "yes because the exponent is negative for positive x.", "session_id": 5083, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "ok that\u2019s all i really need to know is the basics", "session_id": 5083, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "OK, can I answer anything else?", "session_id": 5083, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "no i think im confident with it now thank you so much!", "session_id": 5083, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "OK, then have a great day!", "session_id": 5083, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "hello", "session_id": 5265, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "hello", "session_id": 5265, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "what do you need help with", "session_id": 5265, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "i need help with my hw", "session_id": 5265, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "okay lets go through this", "session_id": 5265, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "Maya", "session_id": 5265, "sequence_id": 5, "annotations": [{"pii_type": "PERSON", "surrogate": "Maya", "start": 0, "end": 4}]}
{"role": "volunteer", "content": "can you tell me what is triangle congruence", "session_id": 5265, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "yes", "session_id": 5265, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "its when in a traignle both traingle have same easure side and angles so two same triangles", "session_id": 5265, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "do you know the different types of triangle congruence", "session_id": 5265, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "HL, asa, aas, sss,sas", "session_id": 5265, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "yess", "session_id": 5265, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "okay so can you tell me what is shown to be congruent for both traingles", "session_id": 5265, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "ok", "session_id": 5265, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "do you know what the dash is on the side of the traingles", "session_id": 5265, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "oh sorry iw as afk", "session_id": 5265, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "/um", "session_id": 5265, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "/yes", "session_id": 5265, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "/those sides are same", "session_id": 5265, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "congruent sides", "session_id": 5265, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "good", "session_id": 5265, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "quick question: do you watch taarak metha ka Ooltah Chashmah or cid", "session_id": 5265, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "um i know about cid", "session_id": 5265, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "nice", "session_id": 5265, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "i believe you are right for this question", "session_id": 5265, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "ok", "session_id": 5265, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "um", "session_id": 5265, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "because vu is not congruent to pq", "session_id": 5265, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "yh", "session_id": 5265, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "this one", "session_id": 5265, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "okay give me a sec to analyze", "session_id": 5265, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "i know Tyche. its a greek goddess that refers to wealth/money", "session_id": 5265, "sequence_id": 31, "annotations": [{"pii_type": "NRP", "surrogate": "Tyche", "start": 7, "end": 12}, {"pii_type": "NRP", "surrogate": "greek", "start": 20, "end": 25}]}
{"role": "volunteer", "content": "yes thats true", "session_id": 5265, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "oh nice", "session_id": 5265, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "do you know your reasoning for this?", "session_id": 5265, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "/yes so", "session_id": 5265, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "ima mark it on paper rq on this screen", "session_id": 5265, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "k", "session_id": 5265, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "i believe you are right", "session_id": 5265, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "k", "session_id": 5265, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "bc both are correct", "session_id": 5265, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "do you need help with anything else?", "session_id": 5265, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "yh", "session_id": 5265, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "last question", "session_id": 5265, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "alright", "session_id": 5265, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "i said none", "session_id": 5265, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "for this", "session_id": 5265, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "done", "session_id": 5265, "sequence_id": 47, "annotations": []}
{"role": "student", "content": "i know hindi cuz i am from Delhi", "session_id": 5265, "sequence_id": 48, "annotations": [{"pii_type": "LOCATION", "surrogate": "Delhi", "start": 27, "end": 32}]}
{"role": "volunteer", "content": "oh nice", "session_id": 5265, "sequence_id": 49, "annotations": []}
{"role": "student", "content": "yea", "session_id": 5265, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "i believe you are right", "session_id": 5265, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "to muje mera kam ches Arjun for ur time", "session_id": 5265, "sequence_id": 52, "annotations": [{"pii_type": "PERSON", "surrogate": "Arjun", "start": 22, "end": 27}]}
{"role": "student", "content": "sir", "session_id": 5265, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "of course koi bath nahi", "session_id": 5265, "sequence_id": 54, "annotations": []}
{"role": "student", "content": "ok", "session_id": 5265, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "Hi, how can I help you today?", "session_id": 5118, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "i just wanna learn and take notes if thats okay ", "session_id": 5118, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "okay", "session_id": 5118, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "thank you so much", "session_id": 5118, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "im gonna grab my notebook", "session_id": 5118, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "alright", "session_id": 5118, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "im back ", "session_id": 5118, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "we can get started", "session_id": 5118, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "so what do you want to learn today? What do you want to work on?", "session_id": 5118, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "we can work on anything ", "session_id": 5118, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "i just dont wanna feel dumb anymore", "session_id": 5118, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "well, you are not dumb", "session_id": 5118, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "so tell me what you are learning at school", "session_id": 5118, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "we can start from there", "session_id": 5118, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "im a dropout at the age of 17 trying to afford online, i barely have any credits when i left school", "session_id": 5118, "sequence_id": 14, "annotations": [{"pii_type": "AGE", "surrogate": "17", "start": 27, "end": 29}]}
{"role": "volunteer", "content": "well that doesn\u2019t make you dumb at all. You\u2019re trying now, and that\u2019s what matters. You haven\u2019t missed your chance.", "session_id": 5118, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "thank you so much", "session_id": 5118, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "we can start at whatever you want ", "session_id": 5118, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "okay, do you want to work on \"Completing the square\"", "session_id": 5118, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "or Factoring?", "session_id": 5118, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "we can do factoring for right now", "session_id": 5118, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "okay", "session_id": 5118, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "okay whenever you wanna start", "session_id": 5118, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "okay, let me grab some material first, few problems for us to do, give me couple minutes, will that be okay?", "session_id": 5118, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "yes of course take your time", "session_id": 5118, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "okay let's start with factoring out the Greatest Common Factor", "session_id": 5118, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "Do you know how to do this one on the white board?", "session_id": 5118, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "i could try ", "session_id": 5118, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "okay", "session_id": 5118, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "is the 2nd number 9x right?", "session_id": 5118, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 5118, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "would the answer be 36x+9x?", "session_id": 5118, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "no", "session_id": 5118, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "So, Factoring is like unpacking something that\u2019s been multiplied together", "session_id": 5118, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "so here we have two terms 6x^2 and 9x, What do both terms have in common?", "session_id": 5118, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "they both have x ", "session_id": 5118, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 5118, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "what else", "session_id": 5118, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "their both low numbers i think ", "session_id": 5118, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "or like they\u2019ve always been multiplied ", "session_id": 5118, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "not always,  their both multiplied", "session_id": 5118, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "okay we also have 6=3 times 2 and 9= 3 times 3, so do they also have 3 in common?", "session_id": 5118, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "yes but where\u2019d the 3 come from ", "session_id": 5118, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "3 comes from 9 and 6, if we write 9 as 3\u00d73 and 6 as 3\u00d72, they would both have 3 in common", "session_id": 5118, "sequence_id": 43, "annotations": []}
{"role": "student", "content": "okay i understand ", "session_id": 5118, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "look at the white board, to get 6x^2, we multiply 3 , 2 , x ,x.. so to do factoring we unpack", "session_id": 5118, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "same goes for 9x", "session_id": 5118, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "now looking at it what do you think both terms have in common?", "session_id": 5118, "sequence_id": 47, "annotations": []}
{"role": "student", "content": "they both have 3 in them and also have x", "session_id": 5118, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "yes, good", "session_id": 5118, "sequence_id": 49, "annotations": []}
{"role": "student", "content": "but one has 1 x n the other has 2 ", "session_id": 5118, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "yes, that they do not have in common", "session_id": 5118, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "yes correct", "session_id": 5118, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "we factor out what is common in both terms", "session_id": 5118, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "so, lets factor 3x out", "session_id": 5118, "sequence_id": 54, "annotations": []}
{"role": "student", "content": "so then we\u2019d be left with 2x times x", "session_id": 5118, "sequence_id": 55, "annotations": []}
{"role": "student", "content": "and 3", "session_id": 5118, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "yes and we write that as 3x(2x+3)", "session_id": 5118, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "does that make sense?", "session_id": 5118, "sequence_id": 58, "annotations": []}
{"role": "student", "content": "a little bit", "session_id": 5118, "sequence_id": 59, "annotations": []}
{"role": "student", "content": "a little bit", "session_id": 5118, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "okay, tell me where you getting confused", "session_id": 5118, "sequence_id": 61, "annotations": []}
{"role": "student", "content": "why did we only factor out 3x but we were still left with 3x and 3 ", "session_id": 5118, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "so from 6x^2 we took 3x, so we are left with 2x, and from 9x we took 3x and we have 3 left", "session_id": 5118, "sequence_id": 63, "annotations": []}
{"role": "student", "content": "ohh", "session_id": 5118, "sequence_id": 64, "annotations": []}
{"role": "student", "content": "okay now i understand ", "session_id": 5118, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "okay good. now can you do 5x^2+15x", "session_id": 5118, "sequence_id": 66, "annotations": []}
{"role": "student", "content": "yes is it the same number for 3?", "session_id": 5118, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "we have 5 and 15, what do they have in common?", "session_id": 5118, "sequence_id": 68, "annotations": []}
{"role": "student", "content": "they both the x and also have the number 5 in them numbers", "session_id": 5118, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "good", "session_id": 5118, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "so if we factor that out, what do we get?", "session_id": 5118, "sequence_id": 71, "annotations": []}
{"role": "student", "content": "2x + 1x", "session_id": 5118, "sequence_id": 72, "annotations": []}
{"role": "student", "content": "if were factoring out the number 5 thats what we\u2019d get out of", "session_id": 5118, "sequence_id": 73, "annotations": []}
{"role": "student", "content": "it", "session_id": 5118, "sequence_id": 74, "annotations": []}
{"role": "student", "content": "but we do it with taking out the whole 15 itself it would be 2x+x", "session_id": 5118, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "so x^2 means x-square, in case you are confused about that", "session_id": 5118, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "now look at the white board", "session_id": 5118, "sequence_id": 77, "annotations": []}
{"role": "student", "content": "its the same problem as the last one", "session_id": 5118, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 5118, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "so 5x^2 = 5.x.x and 15x=3.5.x , factor 5x( they both have that in common), so we get 5x(x+3)", "session_id": 5118, "sequence_id": 80, "annotations": []}
{"role": "student", "content": "okay, so 2x wouldn\u2019t exist even if we took out the 5 because its a x square which also is part of the 5, so it would be x+3 instead of 2x+x", "session_id": 5118, "sequence_id": 81, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 5118, "sequence_id": 82, "annotations": []}
{"role": "volunteer", "content": "I thought you are getting confused about x^2, this is just x-square", "session_id": 5118, "sequence_id": 83, "annotations": []}
{"role": "student", "content": "thank you for letting me know i get confused sometimea", "session_id": 5118, "sequence_id": 84, "annotations": []}
{"role": "student", "content": "sometimes ", "session_id": 5118, "sequence_id": 85, "annotations": []}
{"role": "volunteer", "content": "that's okay", "session_id": 5118, "sequence_id": 86, "annotations": []}
{"role": "volunteer", "content": "let me know if you get confused about any symbol that I am using", "session_id": 5118, "sequence_id": 87, "annotations": []}
{"role": "student", "content": "okay i will", "session_id": 5118, "sequence_id": 88, "annotations": []}
{"role": "volunteer", "content": "okay do 15x^3+30x, x^3 means x cubed", "session_id": 5118, "sequence_id": 89, "annotations": []}
{"role": "student", "content": "okay", "session_id": 5118, "sequence_id": 90, "annotations": []}
{"role": "student", "content": "we would get 15x(x^2+2) i factored out 15 ", "session_id": 5118, "sequence_id": 91, "annotations": []}
{"role": "volunteer", "content": "good", "session_id": 5118, "sequence_id": 92, "annotations": []}
{"role": "student", "content": "30 dived by 15 = 2 that\u2019s where i got it from", "session_id": 5118, "sequence_id": 93, "annotations": []}
{"role": "volunteer", "content": "yeah", "session_id": 5118, "sequence_id": 94, "annotations": []}
{"role": "volunteer", "content": "you are doing very good", "session_id": 5118, "sequence_id": 95, "annotations": []}
{"role": "volunteer", "content": "okay now we do something a little different", "session_id": 5118, "sequence_id": 96, "annotations": []}
{"role": "student", "content": "thank you, okay", "session_id": 5118, "sequence_id": 97, "annotations": []}
{"role": "volunteer", "content": "okay, do you know how to do this one?", "session_id": 5118, "sequence_id": 98, "annotations": []}
{"role": "student", "content": "i think so", "session_id": 5118, "sequence_id": 99, "annotations": []}
{"role": "volunteer", "content": "okay, give it a try", "session_id": 5118, "sequence_id": 100, "annotations": []}
{"role": "student", "content": "its a difference square because x^2 - 16= x^2 - 4^2 right", "session_id": 5118, "sequence_id": 101, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 5118, "sequence_id": 102, "annotations": []}
{"role": "student", "content": "one would have to be subtracted n added ", "session_id": 5118, "sequence_id": 103, "annotations": []}
{"role": "volunteer", "content": "yes, so what would be the factored form?", "session_id": 5118, "sequence_id": 104, "annotations": []}
{"role": "student", "content": "which would lead us to (x-4) (x+4)", "session_id": 5118, "sequence_id": 105, "annotations": []}
{"role": "volunteer", "content": "yeah", "session_id": 5118, "sequence_id": 106, "annotations": []}
{"role": "student", "content": "im a quick learner when it comes to certain subjects ", "session_id": 5118, "sequence_id": 107, "annotations": []}
{"role": "volunteer", "content": "looks like it", "session_id": 5118, "sequence_id": 108, "annotations": []}
{"role": "student", "content": "just dropped out because my mental health got bad and wanna do online school but cant afford it so im trying to find a job to get the education i need", "session_id": 5118, "sequence_id": 109, "annotations": []}
{"role": "volunteer", "content": "yeah, I understand", "session_id": 5118, "sequence_id": 110, "annotations": []}
{"role": "volunteer", "content": "I dropped out too for my mental health", "session_id": 5118, "sequence_id": 111, "annotations": []}
{"role": "volunteer", "content": "so I understand what you're talking about", "session_id": 5118, "sequence_id": 112, "annotations": []}
{"role": "student", "content": "i hope your doing better because its always a light at the end of the tunnel ", "session_id": 5118, "sequence_id": 113, "annotations": []}
{"role": "student", "content": "i wish i could do tutoring so i could help and also provide for myself for my needs but i dont think im smart enough for that nor do i know how i could do it knowing im only 17 and nobody is looking for a <AGE> year old as a tutor ", "session_id": 5118, "sequence_id": 114, "annotations": [{"pii_type": "AGE", "surrogate": "17", "start": 174, "end": 176}]}
{"role": "volunteer", "content": "You should focus on getting better for now, you will be able to provide for yourself in few years when things get better", "session_id": 5118, "sequence_id": 115, "annotations": []}
{"role": "volunteer", "content": "you are very young", "session_id": 5118, "sequence_id": 116, "annotations": []}
{"role": "volunteer", "content": "so don't worry about that now", "session_id": 5118, "sequence_id": 117, "annotations": []}
{"role": "student", "content": "thank you, im proud of you for how far you\u2019ve come if you havent heard that in a while ", "session_id": 5118, "sequence_id": 118, "annotations": []}
{"role": "volunteer", "content": "Thank you", "session_id": 5118, "sequence_id": 119, "annotations": []}
{"role": "volunteer", "content": "Do you want to learn how to factor trinomials now?", "session_id": 5118, "sequence_id": 120, "annotations": []}
{"role": "student", "content": "im a little tired its late over here ", "session_id": 5118, "sequence_id": 121, "annotations": []}
{"role": "volunteer", "content": "okay", "session_id": 5118, "sequence_id": 122, "annotations": []}
{"role": "volunteer", "content": "Get some rest, and good luck", "session_id": 5118, "sequence_id": 123, "annotations": []}
{"role": "student", "content": "thank you so much, it was nice meeting you!", "session_id": 5118, "sequence_id": 124, "annotations": []}
{"role": "volunteer", "content": "hello", "session_id": 5266, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "Hi can you help me with my trig hw?", "session_id": 5266, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 5266, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "Can you put your problem on the board?", "session_id": 5266, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "The value of a car t years from now is given by V(t) in how many years will the value of the car be about half what it is now?", "session_id": 5266, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "Do you want to give that a try?", "session_id": 5266, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "Would I just change it V(t)? Then start putting numbers in for t?", "session_id": 5266, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "What is the value of the car now?", "session_id": 5266, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "$4000 ", "session_id": 5266, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "right. So whatwill V be would the car is half the value it is now?", "session_id": 5266, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "$2000", "session_id": 5266, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "right", "session_id": 5266, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "Then that is the equation that you want to solve for t", "session_id": 5266, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "First step is to divide both sides by 2", "session_id": 5266, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "Are you able to do that on the board?", "session_id": 5266, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "OK, do you know how to solve this kind of equation?", "session_id": 5266, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "I think so can you see my board?", "session_id": 5266, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "So far so good.", "session_id": 5266, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "Now multiple 1/2 over?", "session_id": 5266, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "I don't know what you mean.", "session_id": 5266, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "take the logarithm of both sides.", "session_id": 5266, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "How do you do that?", "session_id": 5266, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "What course are you taking? this isn't trigonometry.", "session_id": 5266, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "Thats the class I\u2019m in is trigonometry. The paper says it\u2019s Exponential Functions at the top but idk what she gave me it\u2019s supposed to be trig though ", "session_id": 5266, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "Do you know anything about logarithms?", "session_id": 5266, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "Some not a lot ", "session_id": 5266, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "I did it on the board.", "session_id": 5266, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "Do you see it?", "session_id": 5266, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "Yea I see it", "session_id": 5266, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "Any questions about it?", "session_id": 5266, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "How did you get t out of being a  power?", "session_id": 5266, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "That's called the power property of logarithms. I will write it on the board.", "session_id": 5266, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "that's why you take the take the log when you have a variable as an exponent.", "session_id": 5266, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "Ok I understand that now. But yea she never taught us this stuff with logarithms yet", "session_id": 5266, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "But I think I got it thank you", "session_id": 5266, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "You are welcome", "session_id": 5266, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "hello, are you still there?", "session_id": 5266, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "It seems that you are no longer there.", "session_id": 5266, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "Have a good rest of the weekend.", "session_id": 5266, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "bye;", "session_id": 5266, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "Hello! How can I help you today?", "session_id": 5139, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "Hello , I need help with this problem", "session_id": 5139, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "For the first part, they already gave us down payment and the total pay", "session_id": 5139, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "Ok", "session_id": 5139, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "So to find the percentage of down payment from the purchace price, we just do 45,000 divided 150,000 then multiply 100 for the percentage", "session_id": 5139, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "Ok I\u2019m doin it now", "session_id": 5139, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "I wrote the equation out", "session_id": 5139, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "Their down payment 45000, is (aka =), what percent (x percent) of (times) the purchace price (150,000)", "session_id": 5139, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "Is the answer %30", "session_id": 5139, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "30%, yes", "session_id": 5139, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "Nice work!", "session_id": 5139, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "Now it\u2019s asking a 67,500 down payment would be?", "session_id": 5139, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "Yes, which means we need to change the 45,000 to 67,500", "session_id": 5139, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "The rest of the equation stays the exact same", "session_id": 5139, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "It is just asking us what percent it would be if we switched the down payment to something else", "session_id": 5139, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "So down payment price would be the only number that changes", "session_id": 5139, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "%45", "session_id": 5139, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "Yes!", "session_id": 5139, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "I got it correct", "session_id": 5139, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "Awesome!", "session_id": 5139, "sequence_id": 19, "annotations": [{"pii_type": "LOCATION", "surrogate": "Awesome", "start": 0, "end": 7}]}
{"role": "volunteer", "content": "Usually the percentage symbol is written after the number :)", "session_id": 5139, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "But the answer is perfect", "session_id": 5139, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "Ok I uploaded a new problem", "session_id": 5139, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "Okay, I see", "session_id": 5139, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "The answer is d", "session_id": 5139, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "Did the website say it was correct?", "session_id": 5139, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "I'm not too sure about D, because I have some doubts on another answer at the moment", "session_id": 5139, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "Not yet  I\u2019m questioning my self", "session_id": 5139, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "Honestly this question is also stumping me XD\nI'm trying to figure it out too", "session_id": 5139, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "C was incorrect", "session_id": 5139, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "C or D? because you were thinking about D earlier", "session_id": 5139, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "The correct answer was A", "session_id": 5139, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "Now part b of the question is what\u2019s the total cost of bill", "session_id": 5139, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "It says the tip of 2.2 was 20% of the cost plus tax", "session_id": 5139, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "So we can set x as the total cost plus tax", "session_id": 5139, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "Ok", "session_id": 5139, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "so 2.2 is 20% (aka 0.2) of tax (multiply by x)", "session_id": 5139, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "So to isolate x, we divide", "session_id": 5139, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "What is 2.2 divided by 0.2?", "session_id": 5139, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "11", "session_id": 5139, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "Yes!", "session_id": 5139, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "So the total cost plus tax is 11", "session_id": 5139, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "Now all we need to do is add in the tip", "session_id": 5139, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "so 11 + 2.2 is?", "session_id": 5139, "sequence_id": 43, "annotations": []}
{"role": "student", "content": "13.2", "session_id": 5139, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "Yep!", "session_id": 5139, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "That should be the total bill, unless there was a computation error", "session_id": 5139, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "Correct thank you", "session_id": 5139, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "No prob!", "session_id": 5139, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "Ohh, that would be why we didn't need to know the tax was 5%", "session_id": 5139, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "for the original question", "session_id": 5139, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "because we never used it to solve the total bill", "session_id": 5139, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "Makes sense now", "session_id": 5139, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "Yeah, it would have been a little better if the part a came last", "session_id": 5139, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "Okay, for this one, the first part wants us to 285% into a decimal", "session_id": 5139, "sequence_id": 54, "annotations": []}
{"role": "student", "content": "Ok", "session_id": 5139, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "to turn a percentage into a decimal, we just divide the percentage by 100", "session_id": 5139, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "285 divided 100 is..", "session_id": 5139, "sequence_id": 57, "annotations": []}
{"role": "student", "content": "2.85", "session_id": 5139, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "yep!", "session_id": 5139, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "And what is the closest whole number that this decimal can be rounded to?", "session_id": 5139, "sequence_id": 60, "annotations": []}
{"role": "student", "content": "3", "session_id": 5139, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "Yes!", "session_id": 5139, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "so since we rounded 285% to 3, 285% of 40 is the same as 3 times 40", "session_id": 5139, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "So 3 times 40 is..?", "session_id": 5139, "sequence_id": 64, "annotations": []}
{"role": "student", "content": "120", "session_id": 5139, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "Yes!", "session_id": 5139, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "So a good estimate for that would be what we just calculated", "session_id": 5139, "sequence_id": 67, "annotations": []}
{"role": "student", "content": "Did I put 120 in the wrong spot?", "session_id": 5139, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "No, that should be correct", "session_id": 5139, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "I think 120 belongs in both spots", "session_id": 5139, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "Because what we just calculated is a good estimate", "session_id": 5139, "sequence_id": 71, "annotations": []}
{"role": "student", "content": "The problem is right only 2 left and I\u2019m done", "session_id": 5139, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "Great job!", "session_id": 5139, "sequence_id": 73, "annotations": [{"pii_type": "LOCATION", "surrogate": "Great job", "start": 0, "end": 9}]}
{"role": "volunteer", "content": "Alright, we have the bicycle 137, and helmet for 19", "session_id": 5139, "sequence_id": 74, "annotations": []}
{"role": "volunteer", "content": "I think the first step would be to add it up, because we want to find the total cost", "session_id": 5139, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "What 137 + 19?", "session_id": 5139, "sequence_id": 76, "annotations": []}
{"role": "student", "content": "156", "session_id": 5139, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "Yes!", "session_id": 5139, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "So we found that the total cost is 156 dollars", "session_id": 5139, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "And we also know that the total cost is (=) 130% of (times) the original price", "session_id": 5139, "sequence_id": 80, "annotations": []}
{"role": "student", "content": "Ok", "session_id": 5139, "sequence_id": 81, "annotations": []}
{"role": "volunteer", "content": "130% is in percentage form, so what would it be  in decimal form?", "session_id": 5139, "sequence_id": 82, "annotations": []}
{"role": "student", "content": "So is 130 divided by 100", "session_id": 5139, "sequence_id": 83, "annotations": []}
{"role": "volunteer", "content": "Not quite, because it is talking about the total cost", "session_id": 5139, "sequence_id": 84, "annotations": []}
{"role": "volunteer", "content": "137 is just the helmet", "session_id": 5139, "sequence_id": 85, "annotations": []}
{"role": "volunteer", "content": "I mean bicycle", "session_id": 5139, "sequence_id": 86, "annotations": []}
{"role": "volunteer", "content": "So we added the bicycle and the helmet to get the total price", "session_id": 5139, "sequence_id": 87, "annotations": []}
{"role": "volunteer", "content": "Now it says that the total cost is 130% of the original", "session_id": 5139, "sequence_id": 88, "annotations": []}
{"role": "volunteer", "content": "Which means we can write an equation 156 = 1.3 time x", "session_id": 5139, "sequence_id": 89, "annotations": []}
{"role": "volunteer", "content": "We set x as the original price", "session_id": 5139, "sequence_id": 90, "annotations": []}
{"role": "volunteer", "content": "The 1.3 is the same as 130%", "session_id": 5139, "sequence_id": 91, "annotations": []}
{"role": "volunteer", "content": "We just divided 130 to make it a decimal", "session_id": 5139, "sequence_id": 92, "annotations": []}
{"role": "volunteer", "content": "(divide percentage by 100 to become decimal)", "session_id": 5139, "sequence_id": 93, "annotations": []}
{"role": "volunteer", "content": "So we have to isolate x now to find the original price", "session_id": 5139, "sequence_id": 94, "annotations": []}
{"role": "volunteer", "content": "What is 156 divided by 1.3?", "session_id": 5139, "sequence_id": 95, "annotations": []}
{"role": "student", "content": "156x1.3 divided by 1.3?", "session_id": 5139, "sequence_id": 96, "annotations": []}
{"role": "student", "content": "Aw I got it", "session_id": 5139, "sequence_id": 97, "annotations": []}
{"role": "volunteer", "content": "What is your answer?", "session_id": 5139, "sequence_id": 98, "annotations": []}
{"role": "student", "content": "120", "session_id": 5139, "sequence_id": 99, "annotations": []}
{"role": "volunteer", "content": "Yes! x is 120", "session_id": 5139, "sequence_id": 100, "annotations": []}
{"role": "volunteer", "content": "So the original price is 120", "session_id": 5139, "sequence_id": 101, "annotations": []}
{"role": "volunteer", "content": "So if the original price is 120, but Alex sold it for 156, how much did he make?", "session_id": 5139, "sequence_id": 102, "annotations": [{"pii_type": "PERSON", "surrogate": "Alex", "start": 37, "end": 41}]}
{"role": "volunteer", "content": "We just have to do subtraction for this part", "session_id": 5139, "sequence_id": 103, "annotations": []}
{"role": "student", "content": "36", "session_id": 5139, "sequence_id": 104, "annotations": []}
{"role": "volunteer", "content": "Yep!", "session_id": 5139, "sequence_id": 105, "annotations": []}
{"role": "volunteer", "content": "So we have 120 as what he originally spent, and 36 as his profit", "session_id": 5139, "sequence_id": 106, "annotations": []}
{"role": "student", "content": "Perfect I got it right", "session_id": 5139, "sequence_id": 107, "annotations": []}
{"role": "volunteer", "content": "Awesome!", "session_id": 5139, "sequence_id": 108, "annotations": [{"pii_type": "LOCATION", "surrogate": "Awesome", "start": 0, "end": 7}]}
{"role": "volunteer", "content": "For this question, i think x is representing how much we spent this month", "session_id": 5139, "sequence_id": 109, "annotations": []}
{"role": "student", "content": "I\u2019m thinking C", "session_id": 5139, "sequence_id": 110, "annotations": []}
{"role": "volunteer", "content": "I would think the same", "session_id": 5139, "sequence_id": 111, "annotations": []}
{"role": "volunteer", "content": "We can check it, or you can full send it", "session_id": 5139, "sequence_id": 112, "annotations": []}
{"role": "student", "content": "Next question says I spent blank this month", "session_id": 5139, "sequence_id": 113, "annotations": []}
{"role": "volunteer", "content": "That means you just have to solve for x", "session_id": 5139, "sequence_id": 114, "annotations": []}
{"role": "volunteer", "content": "So using your equation, isolate x to find how much you spent this month", "session_id": 5139, "sequence_id": 115, "annotations": []}
{"role": "student", "content": "140x30 divided by 100", "session_id": 5139, "sequence_id": 116, "annotations": []}
{"role": "volunteer", "content": "Yes!", "session_id": 5139, "sequence_id": 117, "annotations": []}
{"role": "volunteer", "content": "And that would be?", "session_id": 5139, "sequence_id": 118, "annotations": []}
{"role": "student", "content": "42", "session_id": 5139, "sequence_id": 119, "annotations": []}
{"role": "volunteer", "content": "Yep!", "session_id": 5139, "sequence_id": 120, "annotations": []}
{"role": "volunteer", "content": "They bought it for 55, so that is the purchace price", "session_id": 5139, "sequence_id": 121, "annotations": []}
{"role": "volunteer", "content": "And he sold it for 66, so that is the sale price", "session_id": 5139, "sequence_id": 122, "annotations": []}
{"role": "volunteer", "content": "So what percent can be written as x/100", "session_id": 5139, "sequence_id": 123, "annotations": []}
{"role": "volunteer", "content": "of the purchace price, so times 55", "session_id": 5139, "sequence_id": 124, "annotations": []}
{"role": "volunteer", "content": "is (=) the sale price (66)", "session_id": 5139, "sequence_id": 125, "annotations": []}
{"role": "volunteer", "content": "Now we just isolate x", "session_id": 5139, "sequence_id": 126, "annotations": []}
{"role": "student", "content": "11", "session_id": 5139, "sequence_id": 127, "annotations": []}
{"role": "volunteer", "content": "66 divided by 55 is not 11, so I would check again :)", "session_id": 5139, "sequence_id": 128, "annotations": []}
{"role": "student", "content": "1.2", "session_id": 5139, "sequence_id": 129, "annotations": []}
{"role": "volunteer", "content": "Yes, and then multiply by 100 to find the percentage", "session_id": 5139, "sequence_id": 130, "annotations": []}
{"role": "student", "content": "120", "session_id": 5139, "sequence_id": 131, "annotations": []}
{"role": "volunteer", "content": "Yep!", "session_id": 5139, "sequence_id": 132, "annotations": []}
{"role": "student", "content": "Last one", "session_id": 5139, "sequence_id": 133, "annotations": []}
{"role": "volunteer", "content": "This one, the purchace price changed from 55 to 45", "session_id": 5139, "sequence_id": 134, "annotations": []}
{"role": "volunteer", "content": "And since sale price is 120% of the purchace price, we can find the new sale price", "session_id": 5139, "sequence_id": 135, "annotations": []}
{"role": "volunteer", "content": "So we can set the sale price as x", "session_id": 5139, "sequence_id": 136, "annotations": []}
{"role": "student", "content": "Ok", "session_id": 5139, "sequence_id": 137, "annotations": []}
{"role": "volunteer", "content": "and it is equal to 120% of 45, the purchace price", "session_id": 5139, "sequence_id": 138, "annotations": []}
{"role": "volunteer", "content": "So 1.2 x 45 would be the new sale price which is?", "session_id": 5139, "sequence_id": 139, "annotations": []}
{"role": "student", "content": "54", "session_id": 5139, "sequence_id": 140, "annotations": []}
{"role": "volunteer", "content": "Yep!", "session_id": 5139, "sequence_id": 141, "annotations": []}
{"role": "volunteer", "content": "So he sells each jacket for 54 dollars", "session_id": 5139, "sequence_id": 142, "annotations": []}
{"role": "volunteer", "content": "Now we need to know how many he must sell, to make at least 260 dollars", "session_id": 5139, "sequence_id": 143, "annotations": []}
{"role": "volunteer", "content": "We can set up another equation", "session_id": 5139, "sequence_id": 144, "annotations": []}
{"role": "volunteer", "content": "This time, we put x as the number of jackets he sells", "session_id": 5139, "sequence_id": 145, "annotations": []}
{"role": "volunteer", "content": "Because that's what we need to find", "session_id": 5139, "sequence_id": 146, "annotations": []}
{"role": "student", "content": "54 jackets was incorrect", "session_id": 5139, "sequence_id": 147, "annotations": []}
{"role": "volunteer", "content": "We didn't finish solving", "session_id": 5139, "sequence_id": 148, "annotations": []}
{"role": "student", "content": "Ok", "session_id": 5139, "sequence_id": 149, "annotations": []}
{"role": "volunteer", "content": "the 54 is his new sale price", "session_id": 5139, "sequence_id": 150, "annotations": []}
{"role": "volunteer", "content": "in the other equation, we put x as the sale price", "session_id": 5139, "sequence_id": 151, "annotations": []}
{"role": "volunteer", "content": "for this new section, we put x as the number of jackets", "session_id": 5139, "sequence_id": 152, "annotations": []}
{"role": "student", "content": "Ok", "session_id": 5139, "sequence_id": 153, "annotations": []}
{"role": "volunteer", "content": "and since he needs to make at least 260 dollars, we use a greater than or equal to sign", "session_id": 5139, "sequence_id": 154, "annotations": []}
{"role": "volunteer", "content": "So now isolate x and find out the amount of jackets he needs to sell to make at least 260", "session_id": 5139, "sequence_id": 155, "annotations": []}
{"role": "student", "content": "260 divided by 54", "session_id": 5139, "sequence_id": 156, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 5139, "sequence_id": 157, "annotations": []}
{"role": "volunteer", "content": "What is your answer", "session_id": 5139, "sequence_id": 158, "annotations": []}
{"role": "student", "content": "4.81", "session_id": 5139, "sequence_id": 159, "annotations": []}
{"role": "student", "content": "It was a longer number", "session_id": 5139, "sequence_id": 160, "annotations": []}
{"role": "volunteer", "content": "Got it, I need to recheck", "session_id": 5139, "sequence_id": 161, "annotations": []}
{"role": "volunteer", "content": "Because we found out how many he has to sell", "session_id": 5139, "sequence_id": 162, "annotations": []}
{"role": "volunteer", "content": "This answer should be fine", "session_id": 5139, "sequence_id": 163, "annotations": []}
{"role": "volunteer", "content": "But we can't have a decimal", "session_id": 5139, "sequence_id": 164, "annotations": []}
{"role": "volunteer", "content": "because you can't buy half a jacket", "session_id": 5139, "sequence_id": 165, "annotations": []}
{"role": "volunteer", "content": "So we always need to round up", "session_id": 5139, "sequence_id": 166, "annotations": []}
{"role": "volunteer", "content": "Which means he must buy 5 jackets, to sell them each for 54 and make at least 260", "session_id": 5139, "sequence_id": 167, "annotations": []}
{"role": "student", "content": "I didn\u2019t know it was a pt 3 last question sorry", "session_id": 5139, "sequence_id": 168, "annotations": []}
{"role": "student", "content": "First box should be 5 I think", "session_id": 5139, "sequence_id": 169, "annotations": []}
{"role": "volunteer", "content": "The top box is correct yeah", "session_id": 5139, "sequence_id": 170, "annotations": []}
{"role": "volunteer", "content": "To fill this bottom part", "session_id": 5139, "sequence_id": 171, "annotations": []}
{"role": "volunteer", "content": "We just look at the equations we used", "session_id": 5139, "sequence_id": 172, "annotations": []}
{"role": "volunteer", "content": "Earlier we already found the percentage of the sale price", "session_id": 5139, "sequence_id": 173, "annotations": []}
{"role": "volunteer", "content": "So we can use the exact same percentage", "session_id": 5139, "sequence_id": 174, "annotations": []}
{"role": "volunteer", "content": "and we already calculated 120% of 45, so that answer is there already", "session_id": 5139, "sequence_id": 175, "annotations": []}
{"role": "student", "content": "Ok got that", "session_id": 5139, "sequence_id": 176, "annotations": []}
{"role": "student", "content": "The other box 54?", "session_id": 5139, "sequence_id": 177, "annotations": []}
{"role": "volunteer", "content": "Mhm", "session_id": 5139, "sequence_id": 178, "annotations": []}
{"role": "student", "content": "120x54 6480", "session_id": 5139, "sequence_id": 179, "annotations": []}
{"role": "volunteer", "content": "120 is the percent", "session_id": 5139, "sequence_id": 180, "annotations": []}
{"role": "volunteer", "content": "before you multiply you have to turn it into a decimal", "session_id": 5139, "sequence_id": 181, "annotations": []}
{"role": "volunteer", "content": "What are you solving for?", "session_id": 5139, "sequence_id": 182, "annotations": []}
{"role": "volunteer", "content": "We never did x 54 in our solving", "session_id": 5139, "sequence_id": 183, "annotations": []}
{"role": "volunteer", "content": "For the explanation part you basically just put in everything you solved beforehand", "session_id": 5139, "sequence_id": 184, "annotations": []}
{"role": "student", "content": "Last box is 5?", "session_id": 5139, "sequence_id": 185, "annotations": []}
{"role": "volunteer", "content": "The very last box is 5, yes", "session_id": 5139, "sequence_id": 186, "annotations": []}
{"role": "volunteer", "content": "But I don't think 120 x 54 is supposed to be in there", "session_id": 5139, "sequence_id": 187, "annotations": []}
{"role": "volunteer", "content": "that would give us a giant number that we never even solved for", "session_id": 5139, "sequence_id": 188, "annotations": []}
{"role": "volunteer", "content": "Oh strange", "session_id": 5139, "sequence_id": 189, "annotations": []}
{"role": "volunteer", "content": "Scroll down the bar", "session_id": 5139, "sequence_id": 190, "annotations": []}
{"role": "volunteer", "content": "None of those answers would be correct, because they don't match with what we solved for", "session_id": 5139, "sequence_id": 191, "annotations": []}
{"role": "volunteer", "content": "I circuled it in red", "session_id": 5139, "sequence_id": 192, "annotations": []}
{"role": "volunteer", "content": "To isolate x, it would be 260/54", "session_id": 5139, "sequence_id": 193, "annotations": []}
{"role": "volunteer", "content": "Read the question carefully, because it wants a decimal answer for 260/54", "session_id": 5139, "sequence_id": 194, "annotations": []}
{"role": "volunteer", "content": "You already have 5 as the very last rounded answer", "session_id": 5139, "sequence_id": 195, "annotations": []}
{"role": "volunteer", "content": "so give the answer before it was rounded for the other box", "session_id": 5139, "sequence_id": 196, "annotations": []}
{"role": "student", "content": "4.81", "session_id": 5139, "sequence_id": 197, "annotations": []}
{"role": "volunteer", "content": "Yep", "session_id": 5139, "sequence_id": 198, "annotations": []}
{"role": "student", "content": "All done thank you so much and good night", "session_id": 5139, "sequence_id": 199, "annotations": []}
{"role": "volunteer", "content": "You're welcome", "session_id": 5139, "sequence_id": 200, "annotations": []}
{"role": "volunteer", "content": "Night!", "session_id": 5139, "sequence_id": 201, "annotations": []}
{"role": "student", "content": "Hello", "session_id": 4233, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "hello", "session_id": 4233, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "How are you today?", "session_id": 4233, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "i am fine, thanks.", "session_id": 4233, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "That's good.", "session_id": 4233, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "I am having trouble visualizing this. I think that I would end up with a triangle, but I am not sure which lengths belong to which sides.", "session_id": 4233, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "I think that is what it looks like.", "session_id": 4233, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "Okay.", "session_id": 4233, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "I marked the angle of elevation", "session_id": 4233, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "Okay... I am not sure how we could find that angle using trigonometric ratios. I think that is what I am supposed to do", "session_id": 4233, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "what is x?", "session_id": 4233, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "I'm not sure... would I need to solve for it using 4108?", "session_id": 4233, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "the horizontal red line splits the line segment CE into two parts, x plus DE, right", "session_id": 4233, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "do you have a question about that?", "session_id": 4233, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "Could you please explain how we know that section would equal AB?", "session_id": 4233, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "ABCD is a rectangle, right?", "session_id": 4233, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 4233, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "so then AB must equal CD.", "session_id": 4233, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "CE = CD + DE", "session_id": 4233, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "But CE = 4108 they tell us.", "session_id": 4233, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "I did it all out on the board. Any questions about that?", "session_id": 4233, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "No, it makes sense.", "session_id": 4233, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "Good. Now you can use trig functions to find the angle of elevation", "session_id": 4233, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "The method I used of splitting up CE into two parts is used frequently in problems like this.", "session_id": 4233, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "Oh okay", "session_id": 4233, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "I'm getting about 6.14", "session_id": 4233, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "Yes, that's right. very good.", "session_id": 4233, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "Okay, thank you.", "session_id": 4233, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "You are very welcome", "session_id": 4233, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "Can we do one more?", "session_id": 4233, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 4233, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "OK. You should go ahead and draw a diagram", "session_id": 4233, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "Okay", "session_id": 4233, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "where is the campground on your diagram?", "session_id": 4233, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "At the top?", "session_id": 4233, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "where is the man on your diagram?", "session_id": 4233, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "Oh wait, no", "session_id": 4233, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "The man would be at the top, and the campground would be at the bottom", "session_id": 4233, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "where is ground level?", "session_id": 4233, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "not sure?", "session_id": 4233, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 4233, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "Let's start by drawing the ground level.", "session_id": 4233, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "How high above the ground is the campground?", "session_id": 4233, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "2405 ft", "session_id": 4233, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "OK, put that on your diagram", "session_id": 4233, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "How far above ground level is the man?", "session_id": 4233, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "5389 ft", "session_id": 4233, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "OK. now put the man on your diagram.", "session_id": 4233, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "OK. Now put in the line of sight.", "session_id": 4233, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "OK. Now it's a lot like the last problem, isn't it\\?", "session_id": 4233, "sequence_id": 49, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 4233, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "go ahead and give that a try then", "session_id": 4233, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "Okay, could you please explain what an angle of depression is?", "session_id": 4233, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "the angle of depression is the angle with the horizontal, i drew it in on my diagram", "session_id": 4233, "sequence_id": 53, "annotations": []}
{"role": "student", "content": "Ohh okay", "session_id": 4233, "sequence_id": 54, "annotations": []}
{"role": "student", "content": "Would the missing side be found by subtracting?", "session_id": 4233, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "What do you mean by \"missing side?", "session_id": 4233, "sequence_id": 56, "annotations": []}
{"role": "student", "content": "That section, so one of the sides in the triangle", "session_id": 4233, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "show me what you mean", "session_id": 4233, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "I am not sure what you are referring to. Label it on my diagram, if you could", "session_id": 4233, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "no, that is not the missing side", "session_id": 4233, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "do you remember about the rectangle?", "session_id": 4233, "sequence_id": 61, "annotations": []}
{"role": "student", "content": "Yes, we had to subtract the length of the opposite side from the total", "session_id": 4233, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "OK, go ahead and do that.  What do you get when you do that?", "session_id": 4233, "sequence_id": 63, "annotations": []}
{"role": "student", "content": "I will get the missing side of the triangle", "session_id": 4233, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "What do you get for that?", "session_id": 4233, "sequence_id": 65, "annotations": []}
{"role": "student", "content": "2984", "session_id": 4233, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "yes!", "session_id": 4233, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "Now you can figure out the angle of depression", "session_id": 4233, "sequence_id": 68, "annotations": []}
{"role": "student", "content": "78.61?", "session_id": 4233, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "Yes", "session_id": 4233, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "Angles `1 and 2 are equal because they are alternate interior angles of parallel lines", "session_id": 4233, "sequence_id": 71, "annotations": []}
{"role": "student", "content": "Oh okay", "session_id": 4233, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "OK, have a good rest of the day.", "session_id": 4233, "sequence_id": 73, "annotations": []}
{"role": "student", "content": "Thank you, you as well. Thank you so much for your patience!", "session_id": 4233, "sequence_id": 74, "annotations": []}
{"role": "volunteer", "content": "You are very welcome", "session_id": 4233, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "Hi Sarah! How can I help you today?", "session_id": 5339, "sequence_id": 0, "annotations": [{"pii_type": "PERSON", "surrogate": "Sarah", "start": 3, "end": 8}]}
{"role": "student", "content": "Hello I am Sarah's Parent I see she has been struggling in math, and I wanted to test this program out to see if it would help her.", "session_id": 5339, "sequence_id": 1, "annotations": [{"pii_type": "PERSON", "surrogate": "Sarah", "start": 11, "end": 16}]}
{"role": "volunteer", "content": "Alright then! If I may ask, is this your first time trying Tutor Provider?", "session_id": 5339, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "Yes it is", "session_id": 5339, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "Welcome to Tutor Provider! We\u2019re so glad you\u2019re here. Our platform has many nationally certified tutors, myself included, and your daughter is absolutely in good hands. She\u2019ll receive patient and good support every step of the way.", "session_id": 5339, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "What topic in Algebra 1 can I help your daughter master today?", "session_id": 5339, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "Not today I just wanted her to make an account and see how user friendly it is for her. So far so good I'll have her sign back in Monday", "session_id": 5339, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "Absolutely! If you\u2019d like to continue working with me, you\u2019re welcome to schedule a session through DM after we wrap up today. And of course, you can always explore our other fantastic tutors here on Tutor Provider as well.", "session_id": 5339, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "If you need any further help, feel free to make a new help request on your interface.", "session_id": 5339, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "This concludes today's session. I hope you have a great rest of your day!", "session_id": 5339, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "If you would like to schedule a personalized session with me, feel free to chat over here!", "session_id": 5339, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "hi again!", "session_id": 4311, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "hey'", "session_id": 4311, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "can you help me with this one", "session_id": 4311, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 4311, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "I don't know this one sorry", "session_id": 4311, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "ok want another one", "session_id": 4311, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "yea", "session_id": 4311, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "one moemby", "session_id": 4311, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "moment", "session_id": 4311, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "hello", "session_id": 4311, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "hello", "session_id": 4321, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "Hi I need help with an optimization question for AP Calc AB Unit 5", "session_id": 4321, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "ok'", "session_id": 4321, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "What are you trying to optimize?", "session_id": 4321, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "the volume of the cylinder", "session_id": 4321, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "How would you write the volume?", "session_id": 4321, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "do you mean the formula?", "session_id": 4321, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 4321, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "pir^2h", "session_id": 4321, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 4321, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "That equation for V has 2 variables.", "session_id": 4321, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "yes", "session_id": 4321, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "can you see a way of getting it interms of just one variable?", "session_id": 4321, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "can we find the radius or the height", "session_id": 4321, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "In these problems you often have a constraint equation to help you do that.", "session_id": 4321, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "yes", "session_id": 4321, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "do you know what I mean?", "session_id": 4321, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "is the constraint equation the SA one", "session_id": 4321, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "almost", "session_id": 4321, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "can you write the surface area equation for this problem?", "session_id": 4321, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "no because we don't know the radius or height", "session_id": 4321, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "Use r and h for radius and height", "session_id": 4321, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "okay", "session_id": 4321, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "what should I do?", "session_id": 4321, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "is it okay if I use my mic", "session_id": 4321, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "I can't use my mic right now, but you can use yours if you want. write the equation on the board ifyou can.", "session_id": 4321, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "okay", "session_id": 4321, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "Hi, so what I'm confused about is that um I have two equations surface area and volume. Um, and I know that I have to use like a constraint equation, but I'm just unsure like how I would figure that out and", "session_id": 4321, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "um I've done like similar questions before, but this one, it seems very complex, so I'm confused what", "session_id": 4321, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "equation you're asking me to write on the board.", "session_id": 4321, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "what is the formula for the surface area of a cylinder?", "session_id": 4321, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "The surface area of a cylinder is 2R2 + 2 rh.", "session_id": 4321, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "However, they say that this cylinder has an open top, right?", "session_id": 4321, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "yes", "session_id": 4321, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "Will that change your formula in any way?", "session_id": 4321, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "yes", "session_id": 4321, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "Would it just be 22.", "session_id": 4321, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "I'm a little unsure which part", "session_id": 4321, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "we would have to remove out of the equation.", "session_id": 4321, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "there are two parts to the formula", "session_id": 4321, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "yes", "session_id": 4321, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "OK, so if that's the case, then", "session_id": 4321, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "I think it would just be two pir quad.", "session_id": 4321, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "as the", "session_id": 4321, "sequence_id": 43, "annotations": []}
{"role": "student", "content": "end equation.", "session_id": 4321, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "Sorry, I mean two RH.", "session_id": 4321, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "Oh, wait, never mind, it would be", "session_id": 4321, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "there wouldn't be two pie R squared, it would just be", "session_id": 4321, "sequence_id": 47, "annotations": []}
{"role": "student", "content": "high r^2.", "session_id": 4321, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "+ 2 pi RH.", "session_id": 4321, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "and what is the surface area of this cylingeder?", "session_id": 4321, "sequence_id": 50, "annotations": []}
{"role": "student", "content": "do you mean the end result of the equation", "session_id": 4321, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "they tell you that the SA 700 cm^2, right", "session_id": 4321, "sequence_id": 52, "annotations": []}
{"role": "student", "content": "yes", "session_id": 4321, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "the point of all this is that you can use this equation to express h as a function of r", "session_id": 4321, "sequence_id": 54, "annotations": []}
{"role": "student", "content": "OK, so,", "session_id": 4321, "sequence_id": 55, "annotations": []}
{"role": "student", "content": "would I have to isolate for H then?", "session_id": 4321, "sequence_id": 56, "annotations": []}
{"role": "student", "content": "with this equation", "session_id": 4321, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 4321, "sequence_id": 58, "annotations": []}
{"role": "student", "content": "OK", "session_id": 4321, "sequence_id": 59, "annotations": []}
{"role": "student", "content": "OK, that's what I got, but then can I also um", "session_id": 4321, "sequence_id": 60, "annotations": []}
{"role": "student", "content": "cancel out", "session_id": 4321, "sequence_id": 61, "annotations": []}
{"role": "student", "content": "NR and a pie.", "session_id": 4321, "sequence_id": 62, "annotations": []}
{"role": "student", "content": "Or wait, not a pie. Well, yeah, I could.", "session_id": 4321, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "NO!!!!", "session_id": 4321, "sequence_id": 64, "annotations": []}
{"role": "student", "content": "Oh no, I cannot. OK.", "session_id": 4321, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "do you see why?\\", "session_id": 4321, "sequence_id": 66, "annotations": []}
{"role": "student", "content": "Um", "session_id": 4321, "sequence_id": 67, "annotations": []}
{"role": "student", "content": "I don't really see why is it because the there's a negative pi and then there's a positive pi, and the art is R squared, but underneath it in the denominator it's R", "session_id": 4321, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "But in the first term of the numerator, you don't have a pi or an r", "session_id": 4321, "sequence_id": 69, "annotations": []}
{"role": "student", "content": "Oh, I see. That makes sense.", "session_id": 4321, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "you can't cancel just one part of a numerator", "session_id": 4321, "sequence_id": 71, "annotations": []}
{"role": "student", "content": "Oh, OK", "session_id": 4321, "sequence_id": 72, "annotations": []}
{"role": "student", "content": "Oh, OK. That makes sense. I understand.", "session_id": 4321, "sequence_id": 73, "annotations": []}
{"role": "student", "content": "So now, do I plug in", "session_id": 4321, "sequence_id": 74, "annotations": []}
{"role": "student", "content": "h the volume equation.", "session_id": 4321, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 4321, "sequence_id": 76, "annotations": []}
{"role": "student", "content": "OK. Um, do you mind writing because it's taking me a while to write. So could you please write um", "session_id": 4321, "sequence_id": 77, "annotations": []}
{"role": "student", "content": "volume equals pi r^2 multiplied (SA minus pi r^2).", "session_id": 4321, "sequence_id": 78, "annotations": []}
{"role": "student", "content": "over 2 pi.", "session_id": 4321, "sequence_id": 79, "annotations": []}
{"role": "student", "content": "Thank you", "session_id": 4321, "sequence_id": 80, "annotations": []}
{"role": "student", "content": "some.", "session_id": 4321, "sequence_id": 81, "annotations": []}
{"role": "student", "content": "Now do you just multiply the R squared into the parentheses.", "session_id": 4321, "sequence_id": 82, "annotations": []}
{"role": "student", "content": "Oh wait, we can cancel out the R squared.", "session_id": 4321, "sequence_id": 83, "annotations": []}
{"role": "volunteer", "content": "you can cancel a pi and one r", "session_id": 4321, "sequence_id": 84, "annotations": []}
{"role": "student", "content": "OK", "session_id": 4321, "sequence_id": 85, "annotations": []}
{"role": "student", "content": "So I think it's gonna be", "session_id": 4321, "sequence_id": 86, "annotations": []}
{"role": "student", "content": "of", "session_id": 4321, "sequence_id": 87, "annotations": []}
{"role": "student", "content": "the", "session_id": 4321, "sequence_id": 88, "annotations": []}
{"role": "student", "content": "to", "session_id": 4321, "sequence_id": 89, "annotations": []}
{"role": "student", "content": "OK, I know that we have to find our", "session_id": 4321, "sequence_id": 90, "annotations": []}
{"role": "student", "content": "Do we", "session_id": 4321, "sequence_id": 91, "annotations": []}
{"role": "student", "content": "take the height and divide that by 2.", "session_id": 4321, "sequence_id": 92, "annotations": []}
{"role": "student", "content": "Oh, I see. That makes sense. I was a little bit confused at first because", "session_id": 4321, "sequence_id": 93, "annotations": []}
{"role": "student", "content": "I didn't know what to do with the", "session_id": 4321, "sequence_id": 94, "annotations": []}
{"role": "student", "content": "um with the R, so that makes sense now.", "session_id": 4321, "sequence_id": 95, "annotations": []}
{"role": "volunteer", "content": "You want to find the maximum of V, right?", "session_id": 4321, "sequence_id": 96, "annotations": []}
{"role": "student", "content": "Yeah.", "session_id": 4321, "sequence_id": 97, "annotations": []}
{"role": "volunteer", "content": "How would you do that?", "session_id": 4321, "sequence_id": 98, "annotations": []}
{"role": "student", "content": "To find the maximum, we first take the derivative.", "session_id": 4321, "sequence_id": 99, "annotations": []}
{"role": "student", "content": "and then we find the critical numbers.", "session_id": 4321, "sequence_id": 100, "annotations": []}
{"role": "student", "content": "and we put it onto a number line to see if it's a maximum or a minimum.", "session_id": 4321, "sequence_id": 101, "annotations": []}
{"role": "volunteer", "content": "yes, or you could use the 2nd derivative test, either way", "session_id": 4321, "sequence_id": 102, "annotations": []}
{"role": "student", "content": "ok", "session_id": 4321, "sequence_id": 103, "annotations": []}
{"role": "student", "content": "So when we take the derivative of negative r cubed. What do we do with the pie?", "session_id": 4321, "sequence_id": 104, "annotations": []}
{"role": "volunteer", "content": "pi is just a constant, like any other number", "session_id": 4321, "sequence_id": 105, "annotations": []}
{"role": "student", "content": "OK, so would it just be 3 r, I mean 3R2.", "session_id": 4321, "sequence_id": 106, "annotations": []}
{"role": "volunteer", "content": "go ahead and take the derivative.", "session_id": 4321, "sequence_id": 107, "annotations": []}
{"role": "student", "content": "Is that the correct derivative?", "session_id": 4321, "sequence_id": 108, "annotations": []}
{"role": "volunteer", "content": "no", "session_id": 4321, "sequence_id": 109, "annotations": []}
{"role": "volunteer", "content": "where is pi?", "session_id": 4321, "sequence_id": 110, "annotations": []}
{"role": "student", "content": "Oh, so would it just be, since native pie is a constant", "session_id": 4321, "sequence_id": 111, "annotations": []}
{"role": "student", "content": "Would it just be 0, so 7", "session_id": 4321, "sequence_id": 112, "annotations": []}
{"role": "student", "content": "to the derivative will just pi/2.", "session_id": 4321, "sequence_id": 113, "annotations": []}
{"role": "student", "content": "Oh, we still keep the pie. OK, so would it be?", "session_id": 4321, "sequence_id": 114, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 4321, "sequence_id": 115, "annotations": []}
{"role": "student", "content": "-3 piR2.", "session_id": 4321, "sequence_id": 116, "annotations": []}
{"role": "student", "content": "OK", "session_id": 4321, "sequence_id": 117, "annotations": []}
{"role": "student", "content": "Now we set this equal to 0.", "session_id": 4321, "sequence_id": 118, "annotations": []}
{"role": "student", "content": "OK, so if we multiply each side by 2. We're just going to be left with", "session_id": 4321, "sequence_id": 119, "annotations": []}
{"role": "student", "content": "7", "session_id": 4321, "sequence_id": 120, "annotations": []}
{"role": "student", "content": "11 minus", "session_id": 4321, "sequence_id": 121, "annotations": []}
{"role": "student", "content": "3R2.", "session_id": 4321, "sequence_id": 122, "annotations": []}
{"role": "student", "content": "And when we subtract 711.", "session_id": 4321, "sequence_id": 123, "annotations": []}
{"role": "student", "content": "it's gonna be 3 pi.", "session_id": 4321, "sequence_id": 124, "annotations": []}
{"role": "student", "content": "R squared. Let me just do this real quick and I'll give you the answer.", "session_id": 4321, "sequence_id": 125, "annotations": []}
{"role": "student", "content": "OK, so when I square r, I get 15.394.", "session_id": 4321, "sequence_id": 126, "annotations": []}
{"role": "student", "content": "But would I keep the pie?", "session_id": 4321, "sequence_id": 127, "annotations": []}
{"role": "volunteer", "content": "What do you, keep the pi.", "session_id": 4321, "sequence_id": 128, "annotations": []}
{"role": "volunteer", "content": "what happened to r in your equation?", "session_id": 4321, "sequence_id": 129, "annotations": []}
{"role": "student", "content": "OK, what I did was", "session_id": 4321, "sequence_id": 130, "annotations": []}
{"role": "student", "content": "I set everything equal to 0 and so I had R squad and I square rooted.", "session_id": 4321, "sequence_id": 131, "annotations": []}
{"role": "student", "content": "I square rooted 20037", "session_id": 4321, "sequence_id": 132, "annotations": []}
{"role": "student", "content": "237", "session_id": 4321, "sequence_id": 133, "annotations": []}
{"role": "volunteer", "content": "please write on the board. I can't tell what you are doing\\", "session_id": 4321, "sequence_id": 134, "annotations": []}
{"role": "volunteer", "content": "you have an equation on the board that doesn't have r in it", "session_id": 4321, "sequence_id": 135, "annotations": []}
{"role": "student", "content": "OK, I will, one second.", "session_id": 4321, "sequence_id": 136, "annotations": []}
{"role": "student", "content": "Okay that makes sense because I had to round to 3 decimal places", "session_id": 4321, "sequence_id": 137, "annotations": []}
{"role": "volunteer", "content": "OK, I am going to have to go in a few minutes.  Now that you have r, you should be able to figure out the height and the volume.", "session_id": 4321, "sequence_id": 138, "annotations": []}
{"role": "volunteer", "content": "And prove that it is indeed a maximum", "session_id": 4321, "sequence_id": 139, "annotations": []}
{"role": "student", "content": "yes I understand what to do next. Thanks for all your help!", "session_id": 4321, "sequence_id": 140, "annotations": []}
{"role": "volunteer", "content": "You are very welcome!", "session_id": 4321, "sequence_id": 141, "annotations": []}
{"role": "volunteer", "content": "have a good week.", "session_id": 4321, "sequence_id": 142, "annotations": []}
{"role": "student", "content": "Thanks you too!", "session_id": 4321, "sequence_id": 143, "annotations": []}
{"role": "volunteer", "content": "bye", "session_id": 4321, "sequence_id": 144, "annotations": []}
{"role": "student", "content": "Hello, I\u2019m working on practice problems to prepare for my final next week. I\u2019m focusing on Obj. 1,2,4,5,6,9,10,11,12,13,14,19,20, 21, and 23. I\u2019m currently on problem 1 of objective 21. I haven\u2019t done these in a while, so I may need some help. Here's the link to the pdf: https://example.com/math_problems.pdf", "session_id": 4423, "sequence_id": 0, "annotations": [{"pii_type": "URL", "surrogate": "https://example.com/math_problems.pdf", "start": 272, "end": 309}]}
{"role": "volunteer", "content": "hi Sarah how can i help", "session_id": 4423, "sequence_id": 1, "annotations": [{"pii_type": "PERSON", "surrogate": "Sarah", "start": 3, "end": 8}]}
{"role": "student", "content": "^^^", "session_id": 4423, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "I wrote them out on the board", "session_id": 4423, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "so i do -3-6?", "session_id": 4423, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "yup", "session_id": 4423, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "are you sure?", "session_id": 4423, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "do you wanna recheck the coeff of i", "session_id": 4423, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "+5i", "session_id": 4423, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "mhm", "session_id": 4423, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "Sarah just to let you know i can only stay for 15 minutes", "session_id": 4423, "sequence_id": 10, "annotations": [{"pii_type": "PERSON", "surrogate": "Sarah", "start": 0, "end": 5}]}
{"role": "student", "content": "kk", "session_id": 4423, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "answer is -9+3i", "session_id": 4423, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 4423, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "Hello!", "session_id": 4415, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "How are you?", "session_id": 4415, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "How can I help you?", "session_id": 4415, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "Hi", "session_id": 4415, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "I\u00b4m doing good", "session_id": 4415, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "I just need help real quick with an intergration question for calc", "session_id": 4415, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "Okay", "session_id": 4415, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "I\u00b4ll write it down on the board", "session_id": 4415, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "Ok there it is", "session_id": 4415, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "Let u = sin(x))\nThen du = cos(x)dx", "session_id": 4415, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "Do you know the next step after?", "session_id": 4415, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "hmmmm", "session_id": 4415, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "So then sinx would be to the third power?", "session_id": 4415, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "Using a trig identity\n\nUse the identity: sin(x)cos(x) = \u00bdsin(2x)\nSo the integral becomes: \u222b\u00bdsin(2x)dx = -\u00bccos(2x) + C", "session_id": 4415, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "Does that make sense?", "session_id": 4415, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "Ok let me write it out", "session_id": 4415, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 4415, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "so what happens to the third power when you change it to the trig identity", "session_id": 4415, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "I'm so sorry i confused it with a 2.", "session_id": 4415, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "Let u = sin(x))\nThen du = cos(x)dx\n\nThe integral becomes:\n\u222bu\u00b3 du = u\u2074/4 + C = sin\u2074(x)/4 + C", "session_id": 4415, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "[sin\u2074(x)/4] from \u03c0/6 to \u03c0/2", "session_id": 4415, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "Here are the steps. Let me know if this doesnt make sense. = sin\u2074(\u03c0/2)/4 - sin\u2074(\u03c0/6)/4\n= (1)\u2074/4 - (1/2)\u2074/4\n= 1/4 - (1/16)/4\n= 1/4 - 1/64\n= 16/64 - 1/64\n= 15/64\nThe answer is 15/64.", "session_id": 4415, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "the last parts make sense", "session_id": 4415, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "Ohh wait", "session_id": 4415, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "I think I get it now", "session_id": 4415, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "since the du is the cos x we dont have to integrate it anymore right", "session_id": 4415, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "Yep.", "session_id": 4415, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "Ohhh ok", "session_id": 4415, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "I think that was the part I was confused on", "session_id": 4415, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "Sounds good.", "session_id": 4415, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "Ok I\u00b4ll try working it out real quick and let you know how it goes", "session_id": 4415, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "Okay Perfect!", "session_id": 4415, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "Ok I got the same answer", "session_id": 4415, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "Thank you for your help", "session_id": 4415, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "Hello, I\u2019m working on practice problems to prepare for my final next week. I\u2019m focusing on Obj. 1,2,4,5,6,9,10,11,12,13,14,19,20, 21, and 23. I\u2019m currently on problem 4 of objective 21. I haven\u2019t done these in a while, so I may need some help. Here's the link to the pdf: https://example.com/math_workbook.pdf", "session_id": 4418, "sequence_id": 0, "annotations": [{"pii_type": "URL", "surrogate": "https://example.com/math_workbook.pdf", "start": 272, "end": 309}]}
{"role": "volunteer", "content": "Hi Maria. Do you have any specific questions that you need help with?", "session_id": 4418, "sequence_id": 1, "annotations": [{"pii_type": "PERSON", "surrogate": "Maria", "start": 3, "end": 8}]}
{"role": "student", "content": "Yes, I don't know how to solve it I'm just confused", "session_id": 4418, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "Problem of 4 of Objective 21, correct?", "session_id": 4418, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "So for this specific question, we need to know what the conjugate is.", "session_id": 4418, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 4418, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "The conjugate is a number that has the same real part but the opposite sign on the imaginary part.", "session_id": 4418, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "I tried to solve it by distributing the 2 but idk", "session_id": 4418, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "Can you write it on the whiteboard", "session_id": 4418, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "yes of course", "session_id": 4418, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "for this question, we are going to find the conjugate of the denominator first.", "session_id": 4418, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "Using the definition that I gave you above, can you tell me what the conjugate of the denominator is?", "session_id": 4418, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "Wait no", "session_id": 4418, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "That's not the right one", "session_id": 4418, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "Its 8+6i/2i", "session_id": 4418, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "I meant to say #5 lol", "session_id": 4418, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "oh haha. no worries", "session_id": 4418, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "Yes this one I am confused on", "session_id": 4418, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "and stuck on I tried solving it 2 diff ways but idk", "session_id": 4418, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "so this question is somewhat tricky, but it can be simplified if you know the key rule that 1/i = -i", "session_id": 4418, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "let's first break up the fraction into two parts before we get on with using this rule", "session_id": 4418, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "ok", "session_id": 4418, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "do you understand so far, all i've done is seperate up the fraction and then simplify both", "session_id": 4418, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "i thought it's (-i)", "session_id": 4418, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "1/i is equal to -i", "session_id": 4418, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "and that would be our next step", "session_id": 4418, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "after that, we find out that our simplifed anser is -4i+3", "session_id": 4418, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "ok", "session_id": 4418, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "do you understand?", "session_id": 4418, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "I think so", "session_id": 4418, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "that's awesome!", "session_id": 4418, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "so the answer is -4i+3?", "session_id": 4418, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "yes that's correct!", "session_id": 4418, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "well 3-4i", "session_id": 4418, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "oh ok it was that easy then lol i tried doing it a difficult way", "session_id": 4418, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "alright now #6", "session_id": 4418, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "so do you understand how to solve question 6?", "session_id": 4418, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "-4x6 gets u -24", "session_id": 4418, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "is the answer this?", "session_id": 4418, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "so this is a problem that has to include an \"i\" somewhere", "session_id": 4418, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "This is because we are taking the squareroot of a negative number (or -1) in this case)", "session_id": 4418, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "yep", "session_id": 4418, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "So instead of -2 root 6, it would be 2i root 6", "session_id": 4418, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "because the i would then be the squareroot of negative 1", "session_id": 4418, "sequence_id": 43, "annotations": []}
{"role": "student", "content": "i thought its 6i", "session_id": 4418, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "the i would not be under the squareroot, because i is the squareroot of negative 1.", "session_id": 4418, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "Let's break -24 up like this (4) x (-1) x (6)", "session_id": 4418, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "we could squareroot the (4) into a (2) and then we could squareroot the (-1) into an i. however we would just have to leave 6 as root 6 because we cannot square it", "session_id": 4418, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "so it would be 2i root 6", "session_id": 4418, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "Ok now", "session_id": 4418, "sequence_id": 49, "annotations": []}
{"role": "student", "content": "#7", "session_id": 4418, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "(3 + root 5) times (7 - root 5) correct?", "session_id": 4418, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "yes", "session_id": 4418, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "now i'm going to expand this", "session_id": 4418, "sequence_id": 53, "annotations": []}
{"role": "student", "content": "ok", "session_id": 4418, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "so we would therefore get the answer of 26 + 4i root 5", "session_id": 4418, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "do you understand fully how I got that answer?", "session_id": 4418, "sequence_id": 56, "annotations": []}
{"role": "student", "content": "David", "session_id": 4418, "sequence_id": 57, "annotations": [{"pii_type": "PERSON", "surrogate": "David", "start": 0, "end": 5}]}
{"role": "student", "content": "let me solve on paper", "session_id": 4418, "sequence_id": 58, "annotations": []}
{"role": "student", "content": "Makes sense", "session_id": 4418, "sequence_id": 59, "annotations": []}
{"role": "student", "content": "Now obj. 23", "session_id": 4418, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "which question specifically?", "session_id": 4418, "sequence_id": 61, "annotations": []}
{"role": "student", "content": "#1", "session_id": 4418, "sequence_id": 62, "annotations": []}
{"role": "student", "content": "i got #8", "session_id": 4418, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "yeah that's right", "session_id": 4418, "sequence_id": 64, "annotations": []}
{"role": "student", "content": "now #2", "session_id": 4418, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "do you understand how to solve it or should i help you with it?", "session_id": 4418, "sequence_id": 66, "annotations": []}
{"role": "student", "content": "Hi! I was wondering if you could help me with a few problems. I put the first one on the board.", "session_id": 4435, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "hello", "session_id": 4435, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "I already tried this but got the wrong answer. I'll show you what I did", "session_id": 4435, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 4435, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "I did 2 * pi * radius because that's the distance around the circle and then times 4800 gives you the number of revolutions per minute", "session_id": 4435, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "I suggest that you use units.]", "session_id": 4435, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "How many radians are in 1 revolution?", "session_id": 4435, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "2pi", "session_id": 4435, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "wait why did you set up the equation the way that you did", "session_id": 4435, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "What is inside the parentheses is a conversion factor", "session_id": 4435, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "Have you had chemistry?  This is similar to any conversion between units.", "session_id": 4435, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "ok", "session_id": 4435, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "the value of the quantituy in the parentheses is 1", "session_id": 4435, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "why is it 1?", "session_id": 4435, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "that is true of any conversion factor. It is 1 because the  numerator and denominator have the same value", "session_id": 4435, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "but 2pi isn't equal to 1", "session_id": 4435, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "that's not what I said", "session_id": 4435, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "i had that the numerator and denominator have the same value", "session_id": 4435, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "1 revolution = 2pi radians (and also equals 360 degrees)", "session_id": 4435, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "oh ok", "session_id": 4435, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "since I used the radius in my calculations, what question was I answering? because I wasn't finding angular speed.", "session_id": 4435, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "We can get some insight into that by attaching units to those quantities", "session_id": 4435, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "what does the 3.625 inches do to it though?", "session_id": 4435, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "oh", "session_id": 4435, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "so it gives the distance but not in radiand", "session_id": 4435, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "It gives what is called the linear speed.", "session_id": 4435, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "It is how fast the object is going in inches/minute", "session_id": 4435, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "A basic point here is that every point along the radius of the saw", "session_id": 4435, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "has the same angular speed.", "session_id": 4435, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "But the further the particle is from the center, the faster is its linear speed", "session_id": 4435, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "Okay, that makes sense.", "session_id": 4435, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "Can we do another problem please?", "session_id": 4435, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 4435, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "ok its on the board", "session_id": 4435, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "amplitude of 1/2 means there should be a 1/2 in front of the cos", "session_id": 4435, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "correct", "session_id": 4435, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "in order to get period of pi/4 you have to divide the original period by something so I'll divide 2pi by pi/4 to get that", "session_id": 4435, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "Almost, not quite right", "session_id": 4435, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "What is wrong with it?", "session_id": 4435, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "The phase shift is not corrrect", "session_id": 4435, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "but if it were plus pi/8 that would be right because it would be going in the wrong direction", "session_id": 4435, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "*wouldnt", "session_id": 4435, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "That's not what I mean", "session_id": 4435, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "There are two ways to write these, and I don't know which your teacher prefers. I will write it both ways.", "session_id": 4435, "sequence_id": 43, "annotations": []}
{"role": "student", "content": "but wouldn't that make it a phase shift right of pi, not pi/8?", "session_id": 4435, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "I uploaded a standard form. Do you see it?", "session_id": 4435, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "yes", "session_id": 4435, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "why does th eperod multiply the phase shift?", "session_id": 4435, "sequence_id": 47, "annotations": []}
{"role": "student", "content": "*the period", "session_id": 4435, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "Those are just exactly equivalent ways of writing a sinusoidal function", "session_id": 4435, "sequence_id": 49, "annotations": []}
{"role": "student", "content": "oh. ok", "session_id": 4435, "sequence_id": 50, "annotations": []}
{"role": "student", "content": "that was all for today. thank you for helping me.", "session_id": 4435, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "When figuring out the phase shift, look very carefully to figure out which of those forms the person is using.", "session_id": 4435, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "If it is the one I uploaded then the phase shift is just C", "session_id": 4435, "sequence_id": 53, "annotations": []}
{"role": "student", "content": "ok. but if its the one to ther right that you wrote on the board, it's not", "session_id": 4435, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "But if they are just using one set of parentheses,", "session_id": 4435, "sequence_id": 55, "annotations": []}
{"role": "student", "content": "then its not", "session_id": 4435, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "then the phase shift is C/B", "session_id": 4435, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "That second A should be a B. Sorry.", "session_id": 4435, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "I will write the other form below the upload", "session_id": 4435, "sequence_id": 59, "annotations": []}
{"role": "student", "content": "ok", "session_id": 4435, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "Do you see the difference?", "session_id": 4435, "sequence_id": 61, "annotations": []}
{"role": "student", "content": "yes.", "session_id": 4435, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "the bottom one is obtained from the top one by distributing the B into the parentheses essentially", "session_id": 4435, "sequence_id": 63, "annotations": []}
{"role": "student", "content": "yea, its more concise but you also have to do more work to figure out the phase shift", "session_id": 4435, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "So be careful when figuring out the phase shift and check which form they are using", "session_id": 4435, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "Exactly.", "session_id": 4435, "sequence_id": 66, "annotations": []}
{"role": "student", "content": "ok", "session_id": 4435, "sequence_id": 67, "annotations": []}
{"role": "student", "content": "thanks for heling me today", "session_id": 4435, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "You are very welcome", "session_id": 4435, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "have a good weekend", "session_id": 4435, "sequence_id": 70, "annotations": []}
{"role": "student", "content": "you too", "session_id": 4435, "sequence_id": 71, "annotations": []}
{"role": "student", "content": "bye", "session_id": 4435, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "Hi Leo! How can I help you today?", "session_id": 4457, "sequence_id": 0, "annotations": [{"pii_type": "PERSON", "surrogate": "Leo", "start": 3, "end": 6}]}
{"role": "volunteer", "content": "Do you want to work on this problem together?", "session_id": 4457, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "yes that would be great", "session_id": 4457, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "ik that BDE is right", "session_id": 4457, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "so i selected that", "session_id": 4457, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "that's right!", "session_id": 4457, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "how do i find the value of y and x", "session_id": 4457, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "Okay, so we see the in triangle BDE, one angle is a right angle and the two other ones are 4x and x right?", "session_id": 4457, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "yes", "session_id": 4457, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "Do you know the sum of all the angles in a triangle?", "session_id": 4457, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "180", "session_id": 4457, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "thats right!", "session_id": 4457, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "using that, do you want to try set up an equation using the angles in triangle BDE?", "session_id": 4457, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "yes", "session_id": 4457, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "could you explain for me step by step?", "session_id": 4457, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "4x and x=180", "session_id": 4457, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "I see! Because the sum of ALL angles in a triangle equal 180 degrees,", "session_id": 4457, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "yes", "session_id": 4457, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "is this correct?", "session_id": 4457, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "we have two angles of the triangle here", "session_id": 4457, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "and we need to add the third angle into the equation", "session_id": 4457, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "That's really close! But when we are looking at triangle BDE, the last angle is 90 degrees", "session_id": 4457, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "Because its a right triangle", "session_id": 4457, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "ohh", "session_id": 4457, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "so replace 95 with 90", "session_id": 4457, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "thats correct!", "session_id": 4457, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "That's absolutely right!", "session_id": 4457, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "how do i find y", "session_id": 4457, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "so knowing that x is 18 degrees, can we replace the unknown angles on the diagram with actual numbers?", "session_id": 4457, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "I can see where you are going! remember that y is not part of the triangle though", "session_id": 4457, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "if y is not apart of the equation, how do i find y", "session_id": 4457, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "Lets do this together!", "session_id": 4457, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "So we know that 4x = 72 right?", "session_id": 4457, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "yes", "session_id": 4457, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "if angle DBE is 72, what should the angle vertically opposite, Angle ABC, be?", "session_id": 4457, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "72", "session_id": 4457, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "you got it!", "session_id": 4457, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "So now we know two angles in one triangle, so can we find out what angle BAC is?", "session_id": 4457, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "Remember that angle y is not the same as angle BAC", "session_id": 4457, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "when we get angle BAC, we can then find out y!", "session_id": 4457, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "ok", "session_id": 4457, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "so BAC is 72?", "session_id": 4457, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "your equation is almost there! 72 + 95 + BAC = 180- because they are all three angles of triangle ABC", "session_id": 4457, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "is this making sense?", "session_id": 4457, "sequence_id": 43, "annotations": []}
{"role": "student", "content": "ya", "session_id": 4457, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "great! Now we can solve for BAC!", "session_id": 4457, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "using what equation", "session_id": 4457, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "the equation you set up! just regard BAC as a variable and solve for it like you did for x!", "session_id": 4457, "sequence_id": 47, "annotations": []}
{"role": "student", "content": "can you show me", "session_id": 4457, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "sure!", "session_id": 4457, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "you've got 72+95", "session_id": 4457, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "which equals 167", "session_id": 4457, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "but the BAC is missing here", "session_id": 4457, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "is this clear?", "session_id": 4457, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "BAC is 13- thats correct", "session_id": 4457, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "but do you see how angle y is not the same as BAC?", "session_id": 4457, "sequence_id": 55, "annotations": []}
{"role": "student", "content": "yes", "session_id": 4457, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "angle y and angle BAC are on a straight line", "session_id": 4457, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "do you know the angle of a straight line?", "session_id": 4457, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "Hey Leo are you still with me?", "session_id": 4457, "sequence_id": 59, "annotations": [{"pii_type": "PERSON", "surrogate": "Leo", "start": 4, "end": 7}]}
{"role": "student", "content": "yes sorry i have to go", "session_id": 4457, "sequence_id": 60, "annotations": []}
{"role": "student", "content": "thank you", "session_id": 4457, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "That's okay!", "session_id": 4457, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "Have a great rest of your day!", "session_id": 4457, "sequence_id": 63, "annotations": []}
{"role": "student", "content": "hello", "session_id": 4486, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "Hi, how can I help?", "session_id": 4486, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "would you be able to check my math homework its 5 pages first i am going to give you the transcript from the video that goes with it", "session_id": 4486, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "Transcript: Narrator\n\n(Scene Start: A person is standing among some broken stones in the background. Scene End.)\n\nI\u2019m Narrator. My friend Alice and I are working at an archeological dig. Sometimes the crew finds some pretty cool stuff.\n\n(Scene Start: The person is standing near an inverted trapezoid. On-screen text reads, \u201cVoussoir: [vu-swa] n. Trapezoidal shaped stone used to build an arch.\u201d Scene End.)\n\nYesterday, we found this stone called a voussoir... vo-us-soir...vo-usso-ir..vou-ssoir...\n\nIt\u2019s a stone shaped like a trapezoid.\n\n(Scene Start: The person is standing with the background which has Romans arches. Scene End.)\n\nWhat, you might ask, is a voussoir? The Romans created arches by stacking these trapezoidal stones together into a semi-circle.\n\n(Scene Start: The person is standing beside another trapezoid which has the markings \u201c84 degrees\u201d on both vertical parallel sides and the label \u201cCongruent legs\u201d is present. Scene End.)\n\nThe problem is, we want to know how many stones were in the original arch, but, we only found this one stone.\n\nHere\u2019s what we know. The stone has a trapezoidal face with legs that are the same size, and each of the acute angles measure 84 degrees.\n\n(Scene Start: A picture of another arch appears, where the trapezoid stones are highlighted. Scene End.)\n\nAlice guessed that there were 9 stones in the original arch. She drew this great picture to prove it.\n\nBut I\u2019m not convinced Alice drew the trapezoid with the correct angles. I think we need to recalculate the arch, based on the angles of our stone.\n\n(Scene Start: The person is now standing beside the text \u201cWere there 9 stones in the original arch?\u201d. Scene End.)\n\nIs Alice right? Were there 9 stones in the original arch?", "session_id": 4486, "sequence_id": 3, "annotations": [{"pii_type": "PERSON", "surrogate": "Narrator", "start": 12, "end": 20}, {"pii_type": "PERSON", "surrogate": "Narrator", "start": 118, "end": 126}, {"pii_type": "PERSON", "surrogate": "Alice", "start": 138, "end": 143}, {"pii_type": "NRP", "surrogate": "Romans", "start": 606, "end": 612}, {"pii_type": "NRP", "surrogate": "Romans", "start": 674, "end": 680}, {"pii_type": "PERSON", "surrogate": "Alice", "start": 1304, "end": 1309}, {"pii_type": "PERSON", "surrogate": "Alice", "start": 1429, "end": 1434}, {"pii_type": "PERSON", "surrogate": "Alice", "start": 1673, "end": 1678}]}
{"role": "student", "content": "tell me when your done reading and doing that this is the first page", "session_id": 4486, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "okay, should I just check your answers?", "session_id": 4486, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "yes", "session_id": 4486, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "okay", "session_id": 4486, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "just let me know where your done checking the 1 page", "session_id": 4486, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "okay", "session_id": 4486, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "The answers are correct, next page", "session_id": 4486, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "next page ?", "session_id": 4486, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "so in no 4, instead of saying it has both legs, I will suggest you write \"this is an isosceles trapezoid because its legs are congruent and its base angles are congruent.\"", "session_id": 4486, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "otherwise, it looks good.", "session_id": 4486, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "yes next page", "session_id": 4486, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "this are the 2 last pages after this there is 1 more and thats it", "session_id": 4486, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "just telll me when your done checking if my answrs are right", "session_id": 4486, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "okay", "session_id": 4486, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "okay, 5 and 6 correct", "session_id": 4486, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "okay", "session_id": 4486, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "let me check 7 again", "session_id": 4486, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "ok", "session_id": 4486, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "CBD should 100 degree, I can be wrong though", "session_id": 4486, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "can you double check?", "session_id": 4486, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "for what question", "session_id": 4486, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "question 7", "session_id": 4486, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "180 - 80 equal 100 for tjhe Trapezoid obtuse angle and the other acute angles = same as triangle base angles = 80\u00b0", "session_id": 4486, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "okay", "session_id": 4486, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "But still think it should 100 degree", "session_id": 4486, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "let me explain", "session_id": 4486, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "okay i will change that from my side", "session_id": 4486, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "so angle ABC+ angle CBD =180, if angle ABC is 80 degree, then CBD would 100", "session_id": 4486, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "so fix number 8 according to that", "session_id": 4486, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "so is it right how i put it like 7 on question in the text box", "session_id": 4486, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "so the rest looks good", "session_id": 4486, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "would you show me what to but for 8", "session_id": 4486, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "is what i but in the new text box good in question 7", "session_id": 4486, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "for no 7, it's okay what you wrote", "session_id": 4486, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "for number 8, it is, 100, 80,80", "session_id": 4486, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "so this is right The base angle being 80 degrees and so it will be for 100 degrees", "session_id": 4486, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 4486, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "and for question 8 is this correct So 80 degrees and another 80 degrees for the top\nThe button angles of it will be 100 degrees and - 80 degrees = 100 degrees and it will then be for the trapezoid angles: 100\u00b0, 100\u00b0, 80\u00b0, 80\u00b0.", "session_id": 4486, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "The base angle is 80\u00b0, so angle CBD must 180\u221280=100", "session_id": 4486, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "could you do tell me what to write in question 8", "session_id": 4486, "sequence_id": 43, "annotations": []}
{"role": "student", "content": "i am lost", "session_id": 4486, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "and for 7 also", "session_id": 4486, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "so this is for 7 >The base angle is 80\u00b0, so angle CBD must 180\u221280=100", "session_id": 4486, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "okay got it now for 8", "session_id": 4486, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "so for 8, you can write> The top angles are both 80. The bottom angles are supplementary to 80\u00b0, so \n180\u221280=100\nso, the trapezoid has angles: 80, 80, 100, 100.", "session_id": 4486, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "okay got it is question 9 good", "session_id": 4486, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "yes, rest of them are good", "session_id": 4486, "sequence_id": 50, "annotations": []}
{"role": "student", "content": "so what i wrote is is good in question ?", "session_id": 4486, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "9", "session_id": 4486, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "let me double check", "session_id": 4486, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "yes, it is correct", "session_id": 4486, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "the idea is Alice\u2019s 9-stone drawing gives 80\u00b0 angles, but the actual stone has 84\u00b0 angles.\nBecause the angles don\u2019t match, her theory is wrong.", "session_id": 4486, "sequence_id": 55, "annotations": [{"pii_type": "PERSON", "surrogate": "Alice", "start": 12, "end": 17}]}
{"role": "volunteer", "content": "and you wrote that", "session_id": 4486, "sequence_id": 56, "annotations": []}
{"role": "student", "content": "so its right ?", "session_id": 4486, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 4486, "sequence_id": 58, "annotations": []}
{"role": "student", "content": "okay now check question 10 and 11", "session_id": 4486, "sequence_id": 59, "annotations": []}
{"role": "student", "content": "then there is one more page and thats it", "session_id": 4486, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "okay, checking them again", "session_id": 4486, "sequence_id": 61, "annotations": []}
{"role": "student", "content": "okay", "session_id": 4486, "sequence_id": 62, "annotations": []}
{"role": "student", "content": "just let me know bc there is one more page left", "session_id": 4486, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "okay after double checking I think, for 10, G and H (top) should both be 84.\nE and F (bottom) should both be 96.", "session_id": 4486, "sequence_id": 64, "annotations": []}
{"role": "student", "content": "okay got it is 11 right ?", "session_id": 4486, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "fix 11, according to 10", "session_id": 4486, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "both 96", "session_id": 4486, "sequence_id": 67, "annotations": []}
{"role": "student", "content": "G= 84 H=84 E=96 F=96  for question 10", "session_id": 4486, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 4486, "sequence_id": 69, "annotations": []}
{"role": "student", "content": "question 11 JEF=96 JFE=96", "session_id": 4486, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 4486, "sequence_id": 71, "annotations": []}
{"role": "student", "content": "now can i add the last page", "session_id": 4486, "sequence_id": 72, "annotations": []}
{"role": "student", "content": "?", "session_id": 4486, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 4486, "sequence_id": 74, "annotations": []}
{"role": "student", "content": "last page just let me knwo when your done", "session_id": 4486, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "okay, on it", "session_id": 4486, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "looks good", "session_id": 4486, "sequence_id": 77, "annotations": []}
{"role": "student", "content": "is it good ?", "session_id": 4486, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "yeah", "session_id": 4486, "sequence_id": 79, "annotations": []}
{"role": "student", "content": "okay done i need to head out", "session_id": 4486, "sequence_id": 80, "annotations": []}
{"role": "volunteer", "content": "okay", "session_id": 4486, "sequence_id": 81, "annotations": []}
{"role": "volunteer", "content": "good luck", "session_id": 4486, "sequence_id": 82, "annotations": []}
{"role": "student", "content": "okay thank you", "session_id": 4486, "sequence_id": 83, "annotations": []}
{"role": "student", "content": "its good right i need to turn it in", "session_id": 4486, "sequence_id": 84, "annotations": []}
{"role": "volunteer", "content": "yeah, it is good", "session_id": 4486, "sequence_id": 85, "annotations": []}
{"role": "student", "content": "Hello!", "session_id": 4529, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "Hi Sam!", "session_id": 4529, "sequence_id": 1, "annotations": [{"pii_type": "PERSON", "surrogate": "Sam", "start": 3, "end": 6}]}
{"role": "volunteer", "content": "What do you need help with today?", "session_id": 4529, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "So im having trouble with congruent triangles, I dont know if its the way my teacher teachs or just math ingeneral i dont understand but i need some help like figuring out how to solve my homework", "session_id": 4529, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "It questions 30 and 35", "session_id": 4529, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "Sounds good", "session_id": 4529, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "I see that the triangles might be confusing but when we go over it, you will know how to answer these questions", "session_id": 4529, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "woohooo", "session_id": 4529, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "Give me a second to go over the questions", "session_id": 4529, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "okay take your time", "session_id": 4529, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "Okay let's go over 30 first", "session_id": 4529, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "Okay", "session_id": 4529, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "What do you think congruent is?", "session_id": 4529, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "When something is equal or liek the same as another thing", "session_id": 4529, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "Good job! that's correct", "session_id": 4529, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "What about isosceles triangle?", "session_id": 4529, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "only 2 sides are congruent", "session_id": 4529, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "That's correct!", "session_id": 4529, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "So the statement in question 30 is that <PQT is congruent to <SRT. Can you show me on the board which angles this statement telling? or in other words, show <PQT and <SRT on the drawing I have on the board", "session_id": 4529, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "those angles", "session_id": 4529, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "okay that's right", "session_id": 4529, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "If those angles are equal to each other, then what about the angles <TQR and <TRQ?", "session_id": 4529, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "they are the same", "session_id": 4529, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "Perfect!", "session_id": 4529, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "Earlier you said isosceles triangle has 2 equal sides right?", "session_id": 4529, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "yes", "session_id": 4529, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "Therefore, now you proved that since <PQT is congruent to <SRT; therefore, <TQR and <TRQ are also congruent which means triangle QTR is an isosceles triangle!", "session_id": 4529, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "I am not sure how your teacher answers these types of questions so let me know if you have insights to the way I answered above", "session_id": 4529, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "its usually like this but we have to put it into a proofs chart", "session_id": 4529, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "like that", "session_id": 4529, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "oh okay", "session_id": 4529, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "so when the question says given on the statement side i would put that <PMN is congruent to <ONM and the reason would be because its given", "session_id": 4529, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "okay let's start with what is given", "session_id": 4529, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "woohoo", "session_id": 4529, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "do you want me to type it out?", "session_id": 4529, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "so you dont have to draw", "session_id": 4529, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "Yes", "session_id": 4529, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "that's much better haha", "session_id": 4529, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "wait what happened?", "session_id": 4529, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "is that better", "session_id": 4529, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "That's question 35", "session_id": 4529, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "ohhh", "session_id": 4529, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "I thought we were going over 30", "session_id": 4529, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "But that's correct for 35", "session_id": 4529, "sequence_id": 43, "annotations": []}
{"role": "student", "content": "we are my brain is  just malfunctioning haha", "session_id": 4529, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "haha", "session_id": 4529, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "Good that's correct for the first part", "session_id": 4529, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "so for number 2 we said that , <TQR and <TRQ are also congruent but what would be the reason for that?", "session_id": 4529, "sequence_id": 47, "annotations": []}
{"role": "student", "content": "or did i jump a step?", "session_id": 4529, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "Then, we need to have some statement to why we think that TQR and TRQ are equal", "session_id": 4529, "sequence_id": 49, "annotations": []}
{"role": "student", "content": "the isosceles triangle theorem?", "session_id": 4529, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "we can say that these angles form a linear pair meaning that since straight line 180 degrees", "session_id": 4529, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "i see because all triangle angles add up 180?", "session_id": 4529, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "That's true that Triangles adds up 180 degrees, but also straight line is 180 degrees", "session_id": 4529, "sequence_id": 53, "annotations": []}
{"role": "student", "content": "yes", "session_id": 4529, "sequence_id": 54, "annotations": []}
{"role": "student", "content": "ohh i see", "session_id": 4529, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "What do you call it when something adds up 180 degree?", "session_id": 4529, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "Guess what the reasoning 3 would be", "session_id": 4529, "sequence_id": 57, "annotations": []}
{"role": "student", "content": "supplementary", "session_id": 4529, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "Good job!", "session_id": 4529, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "Can you think of what we should say for 4?", "session_id": 4529, "sequence_id": 60, "annotations": []}
{"role": "student", "content": "uhh", "session_id": 4529, "sequence_id": 61, "annotations": []}
{"role": "student", "content": "<TQR and TRQ are congruent", "session_id": 4529, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "I was thinking of rearranging the equation we have on statement 3", "session_id": 4529, "sequence_id": 63, "annotations": []}
{"role": "student", "content": "okay", "session_id": 4529, "sequence_id": 64, "annotations": []}
{"role": "student", "content": "how?", "session_id": 4529, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "Algebraically", "session_id": 4529, "sequence_id": 66, "annotations": []}
{"role": "student", "content": "okay so what would it say?", "session_id": 4529, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "Can you fill in the second equation on the board?", "session_id": 4529, "sequence_id": 68, "annotations": []}
{"role": "student", "content": "wdym?", "session_id": 4529, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "I wrote the first equation on 4", "session_id": 4529, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "and we need to have the second equation", "session_id": 4529, "sequence_id": 71, "annotations": []}
{"role": "student", "content": "i just see 4 blank?", "session_id": 4529, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "how about now", "session_id": 4529, "sequence_id": 73, "annotations": []}
{"role": "student", "content": "nope", "session_id": 4529, "sequence_id": 74, "annotations": []}
{"role": "volunteer", "content": "Do you see it now?", "session_id": 4529, "sequence_id": 75, "annotations": []}
{"role": "student", "content": "yes", "session_id": 4529, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "Okay I will fill it in and you will help with the reasoning", "session_id": 4529, "sequence_id": 77, "annotations": []}
{"role": "student", "content": "okay", "session_id": 4529, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "oh, okay you actually did the reasoning", "session_id": 4529, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "That's correct answer!", "session_id": 4529, "sequence_id": 80, "annotations": []}
{"role": "student", "content": "yayy", "session_id": 4529, "sequence_id": 81, "annotations": []}
{"role": "volunteer", "content": "What should we say for 5?", "session_id": 4529, "sequence_id": 82, "annotations": []}
{"role": "student", "content": "transitive?", "session_id": 4529, "sequence_id": 83, "annotations": []}
{"role": "student", "content": "or definition of congruence", "session_id": 4529, "sequence_id": 84, "annotations": []}
{"role": "volunteer", "content": "Yes!", "session_id": 4529, "sequence_id": 85, "annotations": []}
{"role": "student", "content": "wait which one is it?", "session_id": 4529, "sequence_id": 86, "annotations": []}
{"role": "volunteer", "content": "definition of congurence", "session_id": 4529, "sequence_id": 87, "annotations": []}
{"role": "student", "content": "wouldnt that one be transitive property?", "session_id": 4529, "sequence_id": 88, "annotations": []}
{"role": "student", "content": "ohhh", "session_id": 4529, "sequence_id": 89, "annotations": []}
{"role": "student", "content": "Leo", "session_id": 4529, "sequence_id": 90, "annotations": [{"pii_type": "PERSON", "surrogate": "Leo", "start": 0, "end": 3}]}
{"role": "volunteer", "content": "Oh you are right that it is transitive but also we are defining congruency here", "session_id": 4529, "sequence_id": 91, "annotations": []}
{"role": "student", "content": "ohh i see", "session_id": 4529, "sequence_id": 92, "annotations": []}
{"role": "volunteer", "content": "I think I like the transitive property rather than substitution so I will have that in the reason instead", "session_id": 4529, "sequence_id": 93, "annotations": []}
{"role": "student", "content": "ookay", "session_id": 4529, "sequence_id": 94, "annotations": []}
{"role": "volunteer", "content": "What do you think the reasoning for 6?", "session_id": 4529, "sequence_id": 95, "annotations": []}
{"role": "student", "content": "congruent angles theorem", "session_id": 4529, "sequence_id": 96, "annotations": []}
{"role": "volunteer", "content": "You can say that", "session_id": 4529, "sequence_id": 97, "annotations": []}
{"role": "volunteer", "content": "You can also say this is a transitive property right?", "session_id": 4529, "sequence_id": 98, "annotations": []}
{"role": "student", "content": "yes", "session_id": 4529, "sequence_id": 99, "annotations": []}
{"role": "volunteer", "content": "What is the reasoning for 7?", "session_id": 4529, "sequence_id": 100, "annotations": []}
{"role": "student", "content": "congruent angles theorem?", "session_id": 4529, "sequence_id": 101, "annotations": []}
{"role": "volunteer", "content": "Almost there but not quite", "session_id": 4529, "sequence_id": 102, "annotations": []}
{"role": "volunteer", "content": "What are we trying to prove?", "session_id": 4529, "sequence_id": 103, "annotations": []}
{"role": "student", "content": "that the triangle is isoscoeles'", "session_id": 4529, "sequence_id": 104, "annotations": []}
{"role": "volunteer", "content": "Therefore the reasoning is what theorem?", "session_id": 4529, "sequence_id": 105, "annotations": []}
{"role": "student", "content": "converse of the Isosceles Triangle theorem", "session_id": 4529, "sequence_id": 106, "annotations": []}
{"role": "volunteer", "content": "Mia", "session_id": 4529, "sequence_id": 107, "annotations": [{"pii_type": "PERSON", "surrogate": "Mia", "start": 0, "end": 3}]}
{"role": "student", "content": "wooohooo", "session_id": 4529, "sequence_id": 108, "annotations": []}
{"role": "volunteer", "content": "One last statement you can have is the triangle QTR is isosceles and then say definition of isosceles triangle for reasoning", "session_id": 4529, "sequence_id": 109, "annotations": []}
{"role": "student", "content": "i see", "session_id": 4529, "sequence_id": 110, "annotations": []}
{"role": "volunteer", "content": "Good Job!!", "session_id": 4529, "sequence_id": 111, "annotations": []}
{"role": "student", "content": "thank you", "session_id": 4529, "sequence_id": 112, "annotations": []}
{"role": "volunteer", "content": "Do you still want to go over 35 or you will try it yourself?", "session_id": 4529, "sequence_id": 113, "annotations": []}
{"role": "student", "content": "i can try it myself but that might not go very well lol", "session_id": 4529, "sequence_id": 114, "annotations": []}
{"role": "volunteer", "content": "haha I understand", "session_id": 4529, "sequence_id": 115, "annotations": []}
{"role": "volunteer", "content": "Do you mind if I erase what we have on the board for 30?", "session_id": 4529, "sequence_id": 116, "annotations": []}
{"role": "student", "content": "go ahead and erase it", "session_id": 4529, "sequence_id": 117, "annotations": []}
{"role": "volunteer", "content": "35 seems complicated", "session_id": 4529, "sequence_id": 118, "annotations": []}
{"role": "student", "content": "just a tad", "session_id": 4529, "sequence_id": 119, "annotations": []}
{"role": "volunteer", "content": "Let's to work it out together", "session_id": 4529, "sequence_id": 120, "annotations": []}
{"role": "student", "content": "okay", "session_id": 4529, "sequence_id": 121, "annotations": []}
{"role": "volunteer", "content": "What is given in this question?", "session_id": 4529, "sequence_id": 122, "annotations": []}
{"role": "student", "content": "<PMN is congruent to <ONM", "session_id": 4529, "sequence_id": 123, "annotations": []}
{"role": "student", "content": "and <MPN is congruent to <NOM", "session_id": 4529, "sequence_id": 124, "annotations": []}
{"role": "volunteer", "content": "correct", "session_id": 4529, "sequence_id": 125, "annotations": []}
{"role": "student", "content": "yayy", "session_id": 4529, "sequence_id": 126, "annotations": []}
{"role": "student", "content": "so would LM and LN be congruent", "session_id": 4529, "sequence_id": 127, "annotations": []}
{"role": "volunteer", "content": "Sorry I had to go grab water", "session_id": 4529, "sequence_id": 128, "annotations": []}
{"role": "volunteer", "content": "I am back", "session_id": 4529, "sequence_id": 129, "annotations": []}
{"role": "student", "content": "helllo", "session_id": 4529, "sequence_id": 130, "annotations": []}
{"role": "volunteer", "content": "You mean the side LM and LN?", "session_id": 4529, "sequence_id": 131, "annotations": []}
{"role": "student", "content": "yes", "session_id": 4529, "sequence_id": 132, "annotations": []}
{"role": "volunteer", "content": "So, we cannot prove that yet", "session_id": 4529, "sequence_id": 133, "annotations": []}
{"role": "volunteer", "content": "Can you write the statement you had earlier on  1st statement slot", "session_id": 4529, "sequence_id": 134, "annotations": []}
{"role": "student", "content": "sure", "session_id": 4529, "sequence_id": 135, "annotations": []}
{"role": "volunteer", "content": "like last time can you write the statement for definition of linear pair?", "session_id": 4529, "sequence_id": 136, "annotations": []}
{"role": "student", "content": "like that", "session_id": 4529, "sequence_id": 137, "annotations": []}
{"role": "volunteer", "content": "Hi again.", "session_id": 4503, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "hi  ijust wanted to ask about double digit decimals", "session_id": 4503, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "Sure.", "session_id": 4503, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "What do you want to know about them?", "session_id": 4503, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "Are you working on that?", "session_id": 4503, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "yes but where would i put the decimal", "session_id": 4503, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "Are there any decimal places in the numbers you multiply?", "session_id": 4503, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "5616", "session_id": 4503, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "infront of 72", "session_id": 4503, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "Yes. And the number of decimal places will be whatever the total of decimal places is in the two numbers you multilply", "session_id": 4503, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "ok thats all", "session_id": 4503, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "So in this case, 56.16", "session_id": 4503, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "That's a general rule you can always use.", "session_id": 4503, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "thank you Sarah", "session_id": 4503, "sequence_id": 13, "annotations": [{"pii_type": "PERSON", "surrogate": "Sarah", "start": 10, "end": 15}]}
{"role": "volunteer", "content": "0.78 x 72 = 7.8 x 7.2 = 78 x 0.72", "session_id": 4503, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "have a good day", "session_id": 4503, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "OK, you too.", "session_id": 4503, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "hi Alex", "session_id": 4581, "sequence_id": 0, "annotations": [{"pii_type": "PERSON", "surrogate": "Alex", "start": 3, "end": 7}]}
{"role": "student", "content": "Hello", "session_id": 4581, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "I\u2019ve gotten this much done of this function, though I\u2019m having some trouble graphing it", "session_id": 4581, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "the first one is wrong", "session_id": 4581, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "Oh I see it", "session_id": 4581, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "a good start would be to plot those points, one with closed circle and one with open", "session_id": 4581, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "Alright that sounds good", "session_id": 4581, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "good start", "session_id": 4581, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "now we'll graph the function for x<=3", "session_id": 4581, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "what kind of shape is it?", "session_id": 4581, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "I\u2019m not sure", "session_id": 4581, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "is it in the form y=mx+b?", "session_id": 4581, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "I think so", "session_id": 4581, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "you need to know for sure", "session_id": 4581, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "f(x) and y are the same thing", "session_id": 4581, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "if it were that form, what would m and b be?", "session_id": 4581, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "X", "session_id": 4581, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "no", "session_id": 4581, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "now do you see m and b?", "session_id": 4581, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "below the graph image", "session_id": 4581, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "are you gone?", "session_id": 4581, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "your status shows as \"is away,\" meaning you are no longer looking at this page.", "session_id": 4581, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "I'll close the session in 2 minutes if you aren't back by then.", "session_id": 4581, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "Bye", "session_id": 4581, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "Hi Liam: How are you this evening?", "session_id": 4556, "sequence_id": 0, "annotations": [{"pii_type": "PERSON", "surrogate": "Liam", "start": 3, "end": 7}]}
{"role": "student", "content": "i am good", "session_id": 4556, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "hru", "session_id": 4556, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "I need help on solving this question", "session_id": 4556, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "Fine thanks, give me a sec plz", "session_id": 4556, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "ok", "session_id": 4556, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "i am stuck after here", "session_id": 4556, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "OK, arcsec is the inverse of the secant function", "session_id": 4556, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 4556, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "and the sec is the inverse of the cos function", "session_id": 4556, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "sooo arcsec and cos are = ??", "session_id": 4556, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "I remember how to do this", "session_id": 4556, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "ok", "session_id": 4556, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "Do you have a sheet of trig identities?", "session_id": 4556, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "Look up secant", "session_id": 4556, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "ohh yeah i remember that", "session_id": 4556, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "can you solve it from here?", "session_id": 4556, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "but isn't this arc sec", "session_id": 4556, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "soo would arc sec = normal cos", "session_id": 4556, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "howwould we solve cos of -2 if my logic is correct", "session_id": 4556, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "arcsec is the inverse of sec, so if we are looking for arcsec(x), then sec (theta) = x", "session_id": 4556, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "Multiply both sides by cos(theta)", "session_id": 4556, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "and then divide both sides by -(2)^.5", "session_id": 4556, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "i am confused", "session_id": 4556, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "Plz go back to what I wrote and manipulate the equation to solve for cos(theta)", "session_id": 4556, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "Basically, you just switch positions of cos(theta) and -(2)^.5", "session_id": 4556, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "i am still confused", "session_id": 4556, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "Can you ask a queston?", "session_id": 4556, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "question", "session_id": 4556, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "cause the answer key says that i was supposed to get 3pi/4", "session_id": 4556, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "You will get that if you work with what I wrote", "session_id": 4556, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "Can you rationalize the denominator of the left side?", "session_id": 4556, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 4556, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "Good, now look this up on your unit circle", "session_id": 4556, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "You should see that it corresponds to 3pi/4", "session_id": 4556, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "Making sense?", "session_id": 4556, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "ohh so if i add the negative it will be 3pi/4 because its in the 2nd quadrant", "session_id": 4556, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "yup", "session_id": 4556, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "thx", "session_id": 4556, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "my pleasure, anything else?", "session_id": 4556, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "nope", "session_id": 4556, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "actually", "session_id": 4556, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "OK, take care", "session_id": 4556, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "hello!", "session_id": 4595, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "hi I have no clue how to salve a geometry question", "session_id": 4595, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "show me it and I can help you!", "session_id": 4595, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "ok so I got some of it right but to be honest I have no clue how I did", "session_id": 4595, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "okay give me a sec to look at it", "session_id": 4595, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "okay thank you for drawing the picture!", "session_id": 4595, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "this is pretty how far I got", "session_id": 4595, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "okay so the orthocenter is the point of intersection of the altitudes of the triangle. The altitude of a triangle is a perpendicular line from a vertex to the opposite side.", "session_id": 4595, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "first we need to find the equations of the altitudes", "session_id": 4595, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "I don't know how to do that", "session_id": 4595, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "I will show you don't worry", "session_id": 4595, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "could you guide me through it step by step", "session_id": 4595, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 4595, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "ok so if I understood correctly first you need to find the slope of the segment opposite of the vertex and then you need to find the perpendicular slope", "session_id": 4595, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 4595, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "now I am finding the equation of the altitude", "session_id": 4595, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "that's the part that I don't understand", "session_id": 4595, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "so I don't understand why it would be y-5=1(x-0)", "session_id": 4595, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "so I used point-slope form", "session_id": 4595, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "where did you get -5 from", "session_id": 4595, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "I used point M", "session_id": 4595, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "the coordinates (0,5) x=0 and y=5 so you just plug it into the point slope formula I wrote in blue", "session_id": 4595, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "so now you do the same for the other two sides", "session_id": 4595, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "how do you solve the point slope form formula?", "session_id": 4595, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "you just plug the x and y values in from a point", "session_id": 4595, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "I don't really understand why we are doing this", "session_id": 4595, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "the orthocenter is the point of intersection of the altitudes of the triangle.", "session_id": 4595, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "yes", "session_id": 4595, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "so first we need to find the altitude", "session_id": 4595, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "so we need to find the altitudes and then what point they all go through", "session_id": 4595, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "yes I am finding the equations of the altittudes right now", "session_id": 4595, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "so to find the altitude we first need to find the equation which you use point slope form", "session_id": 4595, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "yes!", "session_id": 4595, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "so the red is one separate equation and the blue is another one", "session_id": 4595, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 4595, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "the red is for the altitude of JK and blue is for altitude of LM", "session_id": 4595, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "now, we will find the intersection of the altitudes", "session_id": 4595, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "you only need two lines to find their intersection", "session_id": 4595, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "ok", "session_id": 4595, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "now since both equations equal to y, we can use the other side and say they are equal together", "session_id": 4595, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "now we will find y", "session_id": 4595, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "by plugging x in", "session_id": 4595, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "will the equations always equal to y?", "session_id": 4595, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "or not necessarily", "session_id": 4595, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "since we wrote them in slope intersect form yes", "session_id": 4595, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "ok", "session_id": 4595, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "ok so if you use this method you don't necessarily need to graph the picture?", "session_id": 4595, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "yes!", "session_id": 4595, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "sometimes graphs aren't really accurate so calculation is more guranteed for a correct answer", "session_id": 4595, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "ok", "session_id": 4595, "sequence_id": 49, "annotations": []}
{"role": "student", "content": "I don't really understand how you got -6", "session_id": 4595, "sequence_id": 50, "annotations": []}
{"role": "student", "content": "im sorry I am really struggling with the ortho center", "session_id": 4595, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "okay since in equation1, y=x+5 and in equation 2, y=-3x-19", "session_id": 4595, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "they both equal the same thing, y", "session_id": 4595, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "that means the values of  x+5 and -3x-19 are equal too", "session_id": 4595, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "does that make more sense?", "session_id": 4595, "sequence_id": 55, "annotations": []}
{"role": "student", "content": "oooohh", "session_id": 4595, "sequence_id": 56, "annotations": []}
{"role": "student", "content": "but then why did we do y=x+5", "session_id": 4595, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "you can use either equation and plug x in", "session_id": 4595, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "since we know x we can use it to find y", "session_id": 4595, "sequence_id": 59, "annotations": []}
{"role": "student", "content": "ok so first you  find x and then you plug in x to find y?", "session_id": 4595, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "yes!", "session_id": 4595, "sequence_id": 61, "annotations": []}
{"role": "student", "content": "ok thank you so much.", "session_id": 4595, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "I'm going to write a step by step for you real quick", "session_id": 4595, "sequence_id": 63, "annotations": []}
{"role": "student", "content": "I get it now", "session_id": 4595, "sequence_id": 64, "annotations": []}
{"role": "student", "content": "yes please!", "session_id": 4595, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "okay that should be it", "session_id": 4595, "sequence_id": 66, "annotations": []}
{"role": "student", "content": "this is great thank you so much", "session_id": 4595, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "you can take a screenshot or you will be able to see it after the session ends in the session recap", "session_id": 4595, "sequence_id": 68, "annotations": []}
{"role": "student", "content": "ok thank you so much", "session_id": 4595, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "of course! i''m happy to help!", "session_id": 4595, "sequence_id": 70, "annotations": []}
{"role": "student", "content": "thank you have a nice day", "session_id": 4595, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "you too!", "session_id": 4595, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "Hello, what did you need help with?", "session_id": 4639, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "i need help with i ready", "session_id": 4639, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "Okay do you have a specific question you want me to help you through?", "session_id": 4639, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "You can either tell me it, draw it on the whiteboard, or import a picture", "session_id": 4639, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "white board", "session_id": 4639, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "okay great you can start drawing", "session_id": 4639, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "do you know how to start the problem?", "session_id": 4639, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "its okay if you dont", "session_id": 4639, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "done", "session_id": 4639, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "what was your answer?", "session_id": 4639, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "i dont know yet", "session_id": 4639, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "that's okay", "session_id": 4639, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "since 13 can be written as 5+5+3, we can separate the fraction into these", "session_id": 4639, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "5/5=1 so those can be 1s", "session_id": 4639, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "and then just add the whole numbers", "session_id": 4639, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "Do you understand it better now?", "session_id": 4639, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "Okay I see that you are away so I", "session_id": 4639, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "l  see that you're are away so I'll end the session here", "session_id": 4639, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "You will still be able to view the whiteboard after the session in the session recap", "session_id": 4639, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "Hello!", "session_id": 4640, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "Hello", "session_id": 4640, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "Did you need help on a question?", "session_id": 4640, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "Yes, please", "session_id": 4640, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "Do I need share my screen?", "session_id": 4640, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "Yes", "session_id": 4640, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "That or take a photo/screenshot and upload it to the white board on your left", "session_id": 4640, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "Shared my screen", "session_id": 4640, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "Ok one moment", "session_id": 4640, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "I'm sorry I cant see your screen. Could you take a screenshot of the problem and upload it to the white/graph board on the left side of the screen?", "session_id": 4640, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "Can you see it?", "session_id": 4640, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "Yes I can see It! Can you explain to me what about the question your stuck on?", "session_id": 4640, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "I have an idea on how to solve the question", "session_id": 4640, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "But I need to know if I'm misunderstanding the question.", "session_id": 4640, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "Alright! Can you start by trying to solve the question", "session_id": 4640, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "Sure, in the chat or on the whiteboard?", "session_id": 4640, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "The whiteboard", "session_id": 4640, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "Is that the answer?", "session_id": 4640, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "Yes! That is the answer", "session_id": 4640, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "Great Job! :)", "session_id": 4640, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "Could you help me with the second part?", "session_id": 4640, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "It's a graphing portion.", "session_id": 4640, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "Yes I can!", "session_id": 4640, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "Just upload a screenshot of the second question", "session_id": 4640, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "I tried to do it on my own", "session_id": 4640, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "Hence the line", "session_id": 4640, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "So, I'm just checking if that correct.", "session_id": 4640, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "You're close! The Y intercept is correct but the line is wrong", "session_id": 4640, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "An easy way help graph this is by inputting the Number of months into the equation", "session_id": 4640, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "Since the plant's height started at 9 centimeters if we add 2 months the plants heigh would be 11 centimeters", "session_id": 4640, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "I got the question!", "session_id": 4640, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "Thank you!", "session_id": 4640, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "Its no problem, Thats awesome!", "session_id": 4640, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "Have an awesome day!\ud83e\udd73", "session_id": 4640, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "You too!", "session_id": 4640, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "Hi Liam", "session_id": 4626, "sequence_id": 0, "annotations": [{"pii_type": "PERSON", "surrogate": "Liam", "start": 3, "end": 7}]}
{"role": "volunteer", "content": "How can I help you today?", "session_id": 4626, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "hi", "session_id": 4626, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "can you estimate 0.76 x 62", "session_id": 4626, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "Sure is that your question", "session_id": 4626, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "yeha", "session_id": 4626, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "show in standard form", "session_id": 4626, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "Ok are you familiar with these kinds of questions?", "session_id": 4626, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "kind of", "session_id": 4626, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "ok I'll take it one step at a time", "session_id": 4626, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "ok", "session_id": 4626, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "first I'll be breaking the 0.76 into 0.75 and 0.01 ok?", "session_id": 4626, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "why", "session_id": 4626, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "to make the question easier", "session_id": 4626, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "and to simple out the calculations", "session_id": 4626, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "0.75 can be written as 3/4", "session_id": 4626, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "and this'll make my calculation easier", "session_id": 4626, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "can we just multiply the standard form", "session_id": 4626, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "Sure we can do that. Do you want me to do it that way?", "session_id": 4626, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "yes", "session_id": 4626, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "Okay", "session_id": 4626, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "so first multiply them as integers", "session_id": 4626, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "can you do this for me?", "session_id": 4626, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "o", "session_id": 4626, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "is that right", "session_id": 4626, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "you forgot the 4 at the end", "session_id": 4626, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "it's there", "session_id": 4626, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "correct", "session_id": 4626, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "and since it was 0.76", "session_id": 4626, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "hence we divide 4712 by 100", "session_id": 4626, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "got it?", "session_id": 4626, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "um", "session_id": 4626, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "can you just solve it regular way without taking out the decimal", "session_id": 4626, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "Ok let's do it", "session_id": 4626, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "ok", "session_id": 4626, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "idk how to write it", "session_id": 4626, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "write what?", "session_id": 4626, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "the factors like setting it up", "session_id": 4626, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "oh so if you have 2 numbers to multiply always the number with the more digits will be on the top", "session_id": 4626, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "in this 0.76 has 3 digits 0 7 and 6 so that'll be on top", "session_id": 4626, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "once done the next number will be written below that on the right", "session_id": 4626, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "in this case we have 62", "session_id": 4626, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "ok", "session_id": 4626, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "and then the multiplication sign on the left", "session_id": 4626, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "and now multiply normally treating the 0 as a number", "session_id": 4626, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "just remember whenever you multiply by 0 the decimal will come after that number", "session_id": 4626, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "here 2 times 0 will be 0 and the 1 is added so decimal after 1", "session_id": 4626, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "hmm", "session_id": 4626, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "and we have our answer", "session_id": 4626, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "did you get it?", "session_id": 4626, "sequence_id": 49, "annotations": []}
{"role": "student", "content": "yea", "session_id": 4626, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "ok then is there anything else you want to ask me?", "session_id": 4626, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "so estimated is what?", "session_id": 4626, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "47.12 is the estimate", "session_id": 4626, "sequence_id": 53, "annotations": []}
{"role": "student", "content": "oh really", "session_id": 4626, "sequence_id": 54, "annotations": []}
{"role": "student", "content": "i have another quetsion", "session_id": 4626, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "Sure go ahead", "session_id": 4626, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "Did you try solving it on your own first?", "session_id": 4626, "sequence_id": 57, "annotations": []}
{"role": "student", "content": "no", "session_id": 4626, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "Try solving it on your own first", "session_id": 4626, "sequence_id": 59, "annotations": []}
{"role": "student", "content": "idk what im supposed to do", "session_id": 4626, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "lemme make it easier for you", "session_id": 4626, "sequence_id": 61, "annotations": []}
{"role": "student", "content": "okay", "session_id": 4626, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "you go to a store to buy candy. one candy is $1 and you decide to buy 7 candies. you asked your dad for $10. before going to the cash register you wanna make sure you have the money to buy 7 candies. how do you check?", "session_id": 4626, "sequence_id": 63, "annotations": []}
{"role": "student", "content": "no", "session_id": 4626, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "see you have $10", "session_id": 4626, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "and how many candies to buy?", "session_id": 4626, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "7", "session_id": 4626, "sequence_id": 67, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 4626, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "and each candy costs $1 so 7 candies will cost?", "session_id": 4626, "sequence_id": 69, "annotations": []}
{"role": "student", "content": "$7", "session_id": 4626, "sequence_id": 70, "annotations": []}
{"role": "student", "content": "+ tax", "session_id": 4626, "sequence_id": 71, "annotations": []}
{"role": "student", "content": "maybe $9", "session_id": 4626, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "that's right and you had $10 so can you buy the candies.", "session_id": 4626, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "we ignore the tax for now", "session_id": 4626, "sequence_id": 74, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 4626, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "ok good", "session_id": 4626, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "now read the question again and you'll be able to solve it", "session_id": 4626, "sequence_id": 77, "annotations": []}
{"role": "student", "content": "hmm", "session_id": 4626, "sequence_id": 78, "annotations": []}
{"role": "student", "content": "do i multiply 62 and 76?", "session_id": 4626, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 4626, "sequence_id": 80, "annotations": []}
{"role": "student", "content": "do we estimate the same as the last problem?", "session_id": 4626, "sequence_id": 81, "annotations": []}
{"role": "volunteer", "content": "yes or you can estimate a bit higher cause of the tax but if that's not the case then yeah same as exercise 1", "session_id": 4626, "sequence_id": 82, "annotations": []}
{"role": "student", "content": "60 x 0.80/", "session_id": 4626, "sequence_id": 83, "annotations": []}
{"role": "student", "content": "do i estimate it that way?", "session_id": 4626, "sequence_id": 84, "annotations": []}
{"role": "volunteer", "content": "no estimate it after multiplying", "session_id": 4626, "sequence_id": 85, "annotations": []}
{"role": "student", "content": "ohh", "session_id": 4626, "sequence_id": 86, "annotations": []}
{"role": "student", "content": "we multiply those?", "session_id": 4626, "sequence_id": 87, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 4626, "sequence_id": 88, "annotations": []}
{"role": "student", "content": "so it would give us 47.12", "session_id": 4626, "sequence_id": 89, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 4626, "sequence_id": 90, "annotations": []}
{"role": "student", "content": "do i estimate that to 47 dollars or 80?", "session_id": 4626, "sequence_id": 91, "annotations": []}
{"role": "student", "content": "i mean 48?", "session_id": 4626, "sequence_id": 92, "annotations": []}
{"role": "volunteer", "content": "yeah it'd be 48", "session_id": 4626, "sequence_id": 93, "annotations": []}
{"role": "student", "content": "ok", "session_id": 4626, "sequence_id": 94, "annotations": []}
{"role": "student", "content": "ok", "session_id": 4626, "sequence_id": 95, "annotations": []}
{"role": "volunteer", "content": "anything else?", "session_id": 4626, "sequence_id": 96, "annotations": []}
{"role": "student", "content": "yes", "session_id": 4626, "sequence_id": 97, "annotations": []}
{"role": "student", "content": "there", "session_id": 4626, "sequence_id": 98, "annotations": []}
{"role": "volunteer", "content": "ok in this question think about what happens when we multiply and when we divide the increase or decrease", "session_id": 4626, "sequence_id": 99, "annotations": []}
{"role": "student", "content": "when multiplying it increases and when we divide it decreases", "session_id": 4626, "sequence_id": 100, "annotations": []}
{"role": "volunteer", "content": "and that'll be the answer", "session_id": 4626, "sequence_id": 101, "annotations": []}
{"role": "student", "content": "ohh", "session_id": 4626, "sequence_id": 102, "annotations": []}
{"role": "student", "content": "no but", "session_id": 4626, "sequence_id": 103, "annotations": []}
{"role": "student", "content": "they are decimals", "session_id": 4626, "sequence_id": 104, "annotations": []}
{"role": "student", "content": "im supposed to pick which one is the greatest", "session_id": 4626, "sequence_id": 105, "annotations": []}
{"role": "volunteer", "content": "it applies universally if both numbers are same", "session_id": 4626, "sequence_id": 106, "annotations": []}
{"role": "volunteer", "content": "so it doesn't matter if decimals or fractions or integers", "session_id": 4626, "sequence_id": 107, "annotations": []}
{"role": "volunteer", "content": "if they're same and multiplying and dividing, multiplying will give greater result and division will give lesser result", "session_id": 4626, "sequence_id": 108, "annotations": []}
{"role": "student", "content": "but i just calculated to make sure and apparently 0.21 x 84.63 is a bigger number", "session_id": 4626, "sequence_id": 109, "annotations": []}
{"role": "volunteer", "content": "yeah that's what I am saying", "session_id": 4626, "sequence_id": 110, "annotations": []}
{"role": "volunteer", "content": "multiplying gives higher results", "session_id": 4626, "sequence_id": 111, "annotations": []}
{"role": "volunteer", "content": "I'll have to end the session now Liam cause I have to be somewhere real quick. I hope I was able to help you bye", "session_id": 4626, "sequence_id": 112, "annotations": [{"pii_type": "PERSON", "surrogate": "Liam", "start": 33, "end": 37}]}
{"role": "student", "content": "pk", "session_id": 4626, "sequence_id": 113, "annotations": []}
{"role": "volunteer", "content": "Howdy !", "session_id": 4699, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "hello", "session_id": 4699, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "So what's going on in math class?", "session_id": 4699, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "I need to study for my final and she put out a review", "session_id": 4699, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "Okey dokey.", "session_id": 4699, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "my goal is to finish the review by friday and then go through the notes", "session_id": 4699, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "do i show you the problem", "session_id": 4699, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "Yes, people normally post a sample problem on the whiteboard.", "session_id": 4699, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "okay let me do that", "session_id": 4699, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "thats one of them", "session_id": 4699, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "Sarah !", "session_id": 4699, "sequence_id": 10, "annotations": [{"pii_type": "PERSON", "surrogate": "Sarah", "start": 0, "end": 5}]}
{"role": "volunteer", "content": "So let me post the unit circle just as a reminder.", "session_id": 4699, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "So that thing inside the parenthesis is asking \"what angle gives me a tangent value of -2/3\" ???", "session_id": 4699, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "maybe 150 degrees?", "session_id": 4699, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "Yeah, not sure.", "session_id": 4699, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "We'll look at that.", "session_id": 4699, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "Tangent is negative in the second and fourth quadrants, right?", "session_id": 4699, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "yes", "session_id": 4699, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "So I plugged 150 degrees and didn't get -2/3.", "session_id": 4699, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "ok well I know it X degrees", "session_id": 4699, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "so maybe 120 degrees", "session_id": 4699, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "So let's calculate and see what we get.", "session_id": 4699, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "You can also (rules permitted) use a calculator...", "session_id": 4699, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "Also not seeing that.", "session_id": 4699, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "Im not sure I dont think we can get that fraction", "session_id": 4699, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "No, I don't think so either.", "session_id": 4699, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "So inverse tangent of -2/3 = -33.69 degrees.", "session_id": 4699, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "so what do we do", "session_id": 4699, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "So the angle that we're looking for is 33.69 degrees (reference angle to the x axis).", "session_id": 4699, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "The sine of that angle is .554 so the cosecant is the inverse of that which = 1.80277", "session_id": 4699, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "what", "session_id": 4699, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "So since we can't solve this by picking values from the unit circle (like most problems) we use the calculator", "session_id": 4699, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "Take the tangent inverse of -2/3 and what do you get?", "session_id": 4699, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "Hold on", "session_id": 4699, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "I get -33.69 degrees.", "session_id": 4699, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "let me get my other calc out", "session_id": 4699, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "Okey dokey.", "session_id": 4699, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "I think with this one i have it in radians", "session_id": 4699, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "With my calc i got the same thing though !", "session_id": 4699, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "No worries.", "session_id": 4699, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "So in degrees, we have - 33.69 (the fourth quadrant answer) and 146.31 (the second quadrant answer).", "session_id": 4699, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "ok when I'm looking for the tangent of something i have to resort to looking for it in degrees", "session_id": 4699, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "where did you get 146.31", "session_id": 4699, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "So that -33.69 angle is 33.69 degrees down from the x axis (in the 4th quadrant).", "session_id": 4699, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "That one.", "session_id": 4699, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "The OTHER angle that gives you a tangent of -2/3 is 146.31 (which is 33.69 degrees from the x axis in the 2nd quadrant).", "session_id": 4699, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "Im really confused Im sorry", "session_id": 4699, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "So let's back up to the beginning.", "session_id": 4699, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "What do the instructions say to do?", "session_id": 4699, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "Do they list a domain and range for  angles?", "session_id": 4699, "sequence_id": 49, "annotations": []}
{"role": "student", "content": "find the exact value of the expression", "session_id": 4699, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "Okay, so let's first find what angle gives us a tangent of -2/3", "session_id": 4699, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "which is none of them", "session_id": 4699, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "You're not there yet.", "session_id": 4699, "sequence_id": 53, "annotations": []}
{"role": "student", "content": "well we tried quandrant 2 and 4 and none of them matched", "session_id": 4699, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "The next step, once we find that angle, is to take the cosecant of that angle", "session_id": 4699, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "So slow down a bit - what angle gives you a tangent of -2/3?", "session_id": 4699, "sequence_id": 56, "annotations": []}
{"role": "student", "content": "you said I believe", "session_id": 4699, "sequence_id": 57, "annotations": []}
{"role": "student", "content": "But im not sure why", "session_id": 4699, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "It can be either, depending on what range they want you to look at, but let's just stay with -33.69 degrees.", "session_id": 4699, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "Okay?", "session_id": 4699, "sequence_id": 60, "annotations": []}
{"role": "student", "content": "okay I guess", "session_id": 4699, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "So what's the cosecant of -33.69 degrees?", "session_id": 4699, "sequence_id": 62, "annotations": []}
{"role": "student", "content": "-1.802", "session_id": 4699, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "Yup.", "session_id": 4699, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "I got the same.", "session_id": 4699, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "So which answer gives you a decimal result of -1.802?", "session_id": 4699, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "It's A.", "session_id": 4699, "sequence_id": 67, "annotations": []}
{"role": "student", "content": "Ohhh ok I think I understand so when you can't find the angle that matches -2/3 you have to find it in degrees. so it is has to be the inverse tangent of  -2/3  then whatever you get you have to find the csc of that", "session_id": 4699, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "Yep !", "session_id": 4699, "sequence_id": 69, "annotations": []}
{"role": "student", "content": "ok great I have another question", "session_id": 4699, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "An easier one maybe?", "session_id": 4699, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "Okay, so let's try to \"pick a number off the unit circle\" again, okay?", "session_id": 4699, "sequence_id": 72, "annotations": []}
{"role": "student", "content": "I think you have to do the same thing last time right", "session_id": 4699, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "Okay, so let's skip this step then.", "session_id": 4699, "sequence_id": 74, "annotations": []}
{"role": "student", "content": "I think its a because When i found the csc inverse of that I got the same decimal as a but it was a negative", "session_id": 4699, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "bingo !", "session_id": 4699, "sequence_id": 76, "annotations": []}
{"role": "student", "content": "Ok great but how come I got a positive answer and the answer choice was a negative", "session_id": 4699, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "So cosecant is the inverse of the sine function, right?", "session_id": 4699, "sequence_id": 78, "annotations": []}
{"role": "student", "content": "Oh wait nevermind I got a negative", "session_id": 4699, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "Yup.", "session_id": 4699, "sequence_id": 80, "annotations": []}
{"role": "student", "content": "my calc is tweaking", "session_id": 4699, "sequence_id": 81, "annotations": []}
{"role": "student", "content": "Ok wait another question", "session_id": 4699, "sequence_id": 82, "annotations": []}
{"role": "volunteer", "content": "This is my calculator - too funny !!!", "session_id": 4699, "sequence_id": 83, "annotations": []}
{"role": "volunteer", "content": "So what angle gives you a cosine value of root 3 over 2?", "session_id": 4699, "sequence_id": 84, "annotations": []}
{"role": "student", "content": "so I need to find the inverse of that equation right", "session_id": 4699, "sequence_id": 85, "annotations": []}
{"role": "volunteer", "content": "You just need to find the angle that gives you a cosine of sqrt(3) / 2", "session_id": 4699, "sequence_id": 86, "annotations": []}
{"role": "volunteer", "content": "So it's 30 degrees", "session_id": 4699, "sequence_id": 87, "annotations": []}
{"role": "student", "content": "oh wow that was easy", "session_id": 4699, "sequence_id": 88, "annotations": []}
{"role": "volunteer", "content": "There are an infinite number of angles that meet this, but there are only 2 that are between 0 and 2Pi.", "session_id": 4699, "sequence_id": 89, "annotations": []}
{"role": "volunteer", "content": "Yup, easy peasy !", "session_id": 4699, "sequence_id": 90, "annotations": []}
{"role": "student", "content": "another one please", "session_id": 4699, "sequence_id": 91, "annotations": []}
{"role": "student", "content": "I have 2 of them", "session_id": 4699, "sequence_id": 92, "annotations": []}
{"role": "volunteer", "content": "Mark !", "session_id": 4699, "sequence_id": 93, "annotations": [{"pii_type": "PERSON", "surrogate": "Mark", "start": 0, "end": 4}]}
{"role": "volunteer", "content": "So let's do some algebra on # 24 and see where that takes us.", "session_id": 4699, "sequence_id": 94, "annotations": []}
{"role": "volunteer", "content": "Okay so far?", "session_id": 4699, "sequence_id": 95, "annotations": []}
{"role": "student", "content": "where is the +2 coming from", "session_id": 4699, "sequence_id": 96, "annotations": []}
{"role": "volunteer", "content": "Subtract 1 from both sides.", "session_id": 4699, "sequence_id": 97, "annotations": []}
{"role": "volunteer", "content": "Combine like terms.", "session_id": 4699, "sequence_id": 98, "annotations": []}
{"role": "volunteer", "content": "Now a u substitution.", "session_id": 4699, "sequence_id": 99, "annotations": []}
{"role": "student", "content": "wait Im still trying to figure out the 2", "session_id": 4699, "sequence_id": 100, "annotations": []}
{"role": "volunteer", "content": "Okey dokey.", "session_id": 4699, "sequence_id": 101, "annotations": []}
{"role": "student", "content": "because so far Im at the 1-sin^2 theta = 3-3sintheta", "session_id": 4699, "sequence_id": 102, "annotations": []}
{"role": "volunteer", "content": "So add sine squared to both sides.", "session_id": 4699, "sequence_id": 103, "annotations": []}
{"role": "volunteer", "content": "Then subtract 1 from both sides.", "session_id": 4699, "sequence_id": 104, "annotations": []}
{"role": "volunteer", "content": "Okay ?", "session_id": 4699, "sequence_id": 105, "annotations": []}
{"role": "student", "content": "Oh so it will be 2+sin^2 theta - 3sintheta", "session_id": 4699, "sequence_id": 106, "annotations": []}
{"role": "volunteer", "content": "Yup.", "session_id": 4699, "sequence_id": 107, "annotations": []}
{"role": "student", "content": "ok I got that", "session_id": 4699, "sequence_id": 108, "annotations": []}
{"role": "volunteer", "content": "Now, to make things a bit easier, we do a u-substitution.", "session_id": 4699, "sequence_id": 109, "annotations": []}
{"role": "volunteer", "content": "Let u = sine(theta)", "session_id": 4699, "sequence_id": 110, "annotations": []}
{"role": "volunteer", "content": "Okay with that?", "session_id": 4699, "sequence_id": 111, "annotations": []}
{"role": "student", "content": "so we can factor right", "session_id": 4699, "sequence_id": 112, "annotations": []}
{"role": "volunteer", "content": "Yep.", "session_id": 4699, "sequence_id": 113, "annotations": []}
{"role": "volunteer", "content": "So we get sine(theta) = 2 or sine(theta) = 1", "session_id": 4699, "sequence_id": 114, "annotations": []}
{"role": "volunteer", "content": "The first root we can throw out since sine never equals 2.", "session_id": 4699, "sequence_id": 115, "annotations": []}
{"role": "student", "content": "why is that", "session_id": 4699, "sequence_id": 116, "annotations": []}
{"role": "volunteer", "content": "Sine oscillates between -1 and +1", "session_id": 4699, "sequence_id": 117, "annotations": []}
{"role": "student", "content": "Oh ok", "session_id": 4699, "sequence_id": 118, "annotations": []}
{"role": "volunteer", "content": "Take your calculator and type in 2 and then inverse sine.", "session_id": 4699, "sequence_id": 119, "annotations": []}
{"role": "volunteer", "content": "You'll get an error message.", "session_id": 4699, "sequence_id": 120, "annotations": []}
{"role": "student", "content": "so if it is greater than 1 or less then its going to be an error?", "session_id": 4699, "sequence_id": 121, "annotations": []}
{"role": "volunteer", "content": "Sine and cosine vary between - 1 and + 1 so anything outside that range will give you an error message.", "session_id": 4699, "sequence_id": 122, "annotations": []}
{"role": "volunteer", "content": "Like + 2", "session_id": 4699, "sequence_id": 123, "annotations": []}
{"role": "student", "content": "Oh okay got it", "session_id": 4699, "sequence_id": 124, "annotations": []}
{"role": "volunteer", "content": "So we're left with the second root which is sine(theta) = 1", "session_id": 4699, "sequence_id": 125, "annotations": []}
{"role": "student", "content": "Why couldnt it be A", "session_id": 4699, "sequence_id": 126, "annotations": []}
{"role": "student", "content": "Oh wait youre trying to find a y where it equals 1 right", "session_id": 4699, "sequence_id": 127, "annotations": []}
{"role": "volunteer", "content": "Yep.", "session_id": 4699, "sequence_id": 128, "annotations": []}
{"role": "volunteer", "content": "But 3Pi/2 also works.", "session_id": 4699, "sequence_id": 129, "annotations": []}
{"role": "student", "content": "but its a negative", "session_id": 4699, "sequence_id": 130, "annotations": []}
{"role": "volunteer", "content": "Oh, sorry - that won't work since sine of 3Pi/2 = -1", "session_id": 4699, "sequence_id": 131, "annotations": []}
{"role": "volunteer", "content": "It's only Pi/2", "session_id": 4699, "sequence_id": 132, "annotations": []}
{"role": "student", "content": "Ok I understand can we do 25", "session_id": 4699, "sequence_id": 133, "annotations": []}
{"role": "volunteer", "content": "So I didn't do a u substitution here (although maybe I should have).", "session_id": 4699, "sequence_id": 134, "annotations": []}
{"role": "volunteer", "content": "But you get a difference of squares.", "session_id": 4699, "sequence_id": 135, "annotations": []}
{"role": "student", "content": "why are we doing cos ^2 theta", "session_id": 4699, "sequence_id": 136, "annotations": []}
{"role": "volunteer", "content": "Secant is the inverse of cosine right?", "session_id": 4699, "sequence_id": 137, "annotations": []}
{"role": "student", "content": "1/cos theta", "session_id": 4699, "sequence_id": 138, "annotations": []}
{"role": "volunteer", "content": "Yup.", "session_id": 4699, "sequence_id": 139, "annotations": []}
{"role": "volunteer", "content": "So plug that in and solve for cosine (theta).", "session_id": 4699, "sequence_id": 140, "annotations": []}
{"role": "student", "content": "Im not understanding", "session_id": 4699, "sequence_id": 141, "annotations": []}
{"role": "volunteer", "content": "So let's start at the given equation.", "session_id": 4699, "sequence_id": 142, "annotations": []}
{"role": "volunteer", "content": "Okay so far?", "session_id": 4699, "sequence_id": 143, "annotations": []}
{"role": "student", "content": "yes", "session_id": 4699, "sequence_id": 144, "annotations": []}
{"role": "volunteer", "content": "Still okay?", "session_id": 4699, "sequence_id": 145, "annotations": []}
{"role": "student", "content": "yes", "session_id": 4699, "sequence_id": 146, "annotations": []}
{"role": "volunteer", "content": "This is where the difference of squares comes in.", "session_id": 4699, "sequence_id": 147, "annotations": []}
{"role": "volunteer", "content": "So it's A.", "session_id": 4699, "sequence_id": 148, "annotations": []}
{"role": "volunteer", "content": "Make sense?", "session_id": 4699, "sequence_id": 149, "annotations": []}
{"role": "student", "content": "Yes!", "session_id": 4699, "sequence_id": 150, "annotations": []}
{"role": "volunteer", "content": "There's a lot going on here !!!", "session_id": 4699, "sequence_id": 151, "annotations": []}
{"role": "student", "content": "Yes thank you so much Im learning and understand but I still have questions", "session_id": 4699, "sequence_id": 152, "annotations": []}
{"role": "volunteer", "content": "Okay, I gotta scoot for now.", "session_id": 4699, "sequence_id": 153, "annotations": []}
{"role": "volunteer", "content": "Good luck !!!", "session_id": 4699, "sequence_id": 154, "annotations": []}
{"role": "student", "content": "Oh ok thank you", "session_id": 4699, "sequence_id": 155, "annotations": []}
{"role": "volunteer", "content": "take care...", "session_id": 4699, "sequence_id": 156, "annotations": []}
{"role": "student", "content": "Hello. I need help with logarithms to prepare for pre-calc.", "session_id": 4614, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "I can help you with them", "session_id": 4614, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "Perfect! So I have a basic understand of logs and their relationship with exponential functions but I need some help reinforcing my understanding", "session_id": 4614, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "Can we work through some problems?", "session_id": 4614, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "Sure", "session_id": 4614, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "Okay awesome. Should I pull up some practice questions?", "session_id": 4614, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "yes, you should", "session_id": 4614, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "okay well here's a basic one from my homework: log(10) 1= ?", "session_id": 4614, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "how would I approach this question?", "session_id": 4614, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "What do you think you would do", "session_id": 4614, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "hmmm I think we can see what 1^10 would be?", "session_id": 4614, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "that'd be 1, right?", "session_id": 4614, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "Anything to the power of zero is one", "session_id": 4614, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "Why would it be to the power of 0?", "session_id": 4614, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "10 is the baseand we are trying to find what to the power of 10 will give us one", "session_id": 4614, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "And zero gives us one", "session_id": 4614, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "ohhh okay. that makes sense.", "session_id": 4614, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "lets try another one", "session_id": 4614, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "log(10) 1000= ?", "session_id": 4614, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "What do you think we have to do here?", "session_id": 4614, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "well from the last problem, you mentioned that the smaller number is the base. So we're trying to find what to the power of 10 will give 1000", "session_id": 4614, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "right?", "session_id": 4614, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "Yes", "session_id": 4614, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "For a problem like this you can just count the zeros", "session_id": 4614, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "okay and then what", "session_id": 4614, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "Thats you answer", "session_id": 4614, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "Three", "session_id": 4614, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "So it would be 3?", "session_id": 4614, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "Count the zeros in 1000", "session_id": 4614, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "ohhh it would be 3", "session_id": 4614, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "got it", "session_id": 4614, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "okay that was helpful. Thanks! thats all i need for now", "session_id": 4614, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "have a nice day!", "session_id": 4614, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "Alr bye", "session_id": 4614, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "Hi Jamie", "session_id": 4627, "sequence_id": 0, "annotations": [{"pii_type": "PERSON", "surrogate": "Jamie", "start": 3, "end": 8}]}
{"role": "volunteer", "content": "How can I help you today?", "session_id": 4627, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "hi", "session_id": 4627, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "oh can you check my answers", "session_id": 4627, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "Sure", "session_id": 4627, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "Drop them in", "session_id": 4627, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "Ok I did", "session_id": 4627, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "Ok give me a sec", "session_id": 4627, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "K", "session_id": 4627, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "he first answer is correct good job", "session_id": 4627, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "Oh", "session_id": 4627, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "is the 2nd one right too?", "session_id": 4627, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "However I see a small mistake in the first question", "session_id": 4627, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "oh okay what is it", "session_id": 4627, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "The value of cosx approaches 1 and the denominator approaches 0", "session_id": 4627, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "so overall we have 1/approaching 0", "session_id": 4627, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "and that's infinity", "session_id": 4627, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "hence the limit doesn't exist", "session_id": 4627, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "got it?", "session_id": 4627, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "Oh yeah okay I got it", "session_id": 4627, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "And the second question is absolutely correct just explain the why part", "session_id": 4627, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "Oh yeah right", "session_id": 4627, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "so both numerator and denominator approach 0", "session_id": 4627, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "in the 2nd ques?", "session_id": 4627, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 4627, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "no tthe numerator approaches 0 and denominator is 2^x=2^0 and that's 1 so denominator approaches one", "session_id": 4627, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "Oh rught", "session_id": 4627, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 4627, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "hence it'll be approaching0/approaching 1 and that's 0/1=0", "session_id": 4627, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "and that equals 0", "session_id": 4627, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "yah right", "session_id": 4627, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "exactly", "session_id": 4627, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "anything else?", "session_id": 4627, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "alrigth", "session_id": 4627, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "No that\u2019s all", "session_id": 4627, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "thanks", "session_id": 4627, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "alright then Jamie have a good day. Correct the first question", "session_id": 4627, "sequence_id": 36, "annotations": [{"pii_type": "PERSON", "surrogate": "Jamie", "start": 13, "end": 18}]}
{"role": "volunteer", "content": "bye", "session_id": 4627, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "Okay thanks", "session_id": 4627, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "Hi, how can I help?", "session_id": 4718, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "Hello, I\u2019m working on practice problems to prepare for my final next week. I\u2019m focusing on Obj. 1,2,4,5,6,9,10,11,12,14,18,19,20, 23, and 21. I\u2019m currently on problem 6 of objective 10. I haven\u2019t done these in a while, so I may need some help. Here's the link to the pdf: https://example.com/algebra_problems.pdf", "session_id": 4718, "sequence_id": 1, "annotations": [{"pii_type": "URL", "surrogate": "https://example.com/algebra_problems.pdf", "start": 272, "end": 312}]}
{"role": "volunteer", "content": "okay, got it", "session_id": 4718, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "Thanks!", "session_id": 4718, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "Can you write it on the board and Ill solve that way?", "session_id": 4718, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "do you want me to do problem 6 from obj 10?", "session_id": 4718, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "and do the whole problem on the board?", "session_id": 4718, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "Yes!", "session_id": 4718, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "okay", "session_id": 4718, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "okay, done", "session_id": 4718, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "let me know if I should explain", "session_id": 4718, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "Lets move to OBJECTIVE 11: Factoring Trinomials (2.4)", "session_id": 4718, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "okay", "session_id": 4718, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "Ohh right ac method", "session_id": 4718, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 4718, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "questions?", "session_id": 4718, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "Nope I get it", "session_id": 4718, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "Now #4", "session_id": 4718, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "okay", "session_id": 4718, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "I'll try and solve it", "session_id": 4718, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "hey, did you go through the solutions?", "session_id": 4718, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "I'm stuck on #2", "session_id": 4718, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "okay", "session_id": 4718, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "How did we get to the 2x+3", "session_id": 4718, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "#2, you mean 5?", "session_id": 4718, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "oh you mean 4", "session_id": 4718, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 4718, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "so it is (a+b)^2=a^2+2ab+b^2 formula", "session_id": 4718, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "Ohh I see", "session_id": 4718, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "so this is a perfect square trinomial", "session_id": 4718, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "anyway, I need to go. My therapist just called and scheduled a meeting now.", "session_id": 4718, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "I am sorry", "session_id": 4718, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "submit another request maybe", "session_id": 4718, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "bye", "session_id": 4718, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "Hello, I\u2019m working on practice problems to prepare for my final next week. I\u2019m focusing on Obj. 1,2,4,5,6,9,10,11,12,14,18,19,20, 23, and 21. I\u2019m currently on problem 6 of objective 10. I haven\u2019t done these in a while, so I may need some help. Here's the link to the pdf: https://example.com/math_workbook.pdf", "session_id": 4722, "sequence_id": 0, "annotations": [{"pii_type": "URL", "surrogate": "https://example.com/math_workbook.pdf", "start": 272, "end": 309}]}
{"role": "volunteer", "content": "Is that a link?", "session_id": 4722, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "Yes!", "session_id": 4722, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "How may I help you", "session_id": 4722, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "I need a bit assistance in solving the problem", "session_id": 4722, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "Could you pls share the problems picture in the board, I was told not to open any link, during the session", "session_id": 4722, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "You can", "session_id": 4722, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "Ok", "session_id": 4722, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "I can see that its a factor by grouping", "session_id": 4722, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "R u familiar with this topic?", "session_id": 4722, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "Yes kinda", "session_id": 4722, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "Can you writeit on the board", "session_id": 4722, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "In these kind of problem, you have to put them in pairs first, then take the common factor", "session_id": 4722, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "You can see on the board", "session_id": 4722, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 4722, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "hey! what's up?", "session_id": 4751, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "hi I need help with my IXL work", "session_id": 4751, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "i can help if u paste the questions in the chat or on the board", "session_id": 4751, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "yes", "session_id": 4751, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "if easier just type it here", "session_id": 4751, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "done", "session_id": 4751, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "oh ok", "session_id": 4751, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "15 is what percent of 100", "session_id": 4751, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "Let's figure out what percent 15 is of 100.\n\nStep 1: Write the problem as a ratio: 15100\\frac{15}{100}10015\u200b.\n\nStep 2: To find the percentage, multiply this ratio by 100:\n15100\u00d7100\\frac{15}{100} \\times 100\u200b\u00d7100\n\nStep 3: Simplify:\n15\u00d71=1515 \\times 1 = 1515\u00d71=15\n\nSo, 15 is 15% of 100.\n\nAnswer: 15%.", "session_id": 4751, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "ignore that is paster wrong let me type it", "session_id": 4751, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "ok I'm going to write that", "session_id": 4751, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "we would make a ratio of 15/100", "session_id": 4751, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "then we multiply by 100 to get percent so...", "session_id": 4751, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "oh I'm sorry but I got to switch class thank you for your help I got to go", "session_id": 4751, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "15/100  * 100  = 15", "session_id": 4751, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "Hello", "session_id": 4779, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "hi", "session_id": 4779, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "hi there, what are you working on?", "session_id": 4779, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "ok domain and range", "session_id": 4779, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "Do you know what those mean?", "session_id": 4779, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "yes", "session_id": 4779, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "ok want to give it a try?", "session_id": 4779, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "yes", "session_id": 4779, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "go ahead", "session_id": 4779, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "What do you think for domain? ..", "session_id": 4779, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "I'm going to exit the session, but you can ask for another tutor.", "session_id": 4779, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "Hi!", "session_id": 4802, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "Hello, what can I help you with ?", "session_id": 4802, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "May I show you on whiteboard", "session_id": 4802, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "Yes", "session_id": 4802, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "Name three solutions of each inequality", "session_id": 4802, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "Okay, so what do you think it means when it says 23.82 > or equal to m", "session_id": 4802, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "It\u2019s greater or equal to the variable m", "session_id": 4802, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "Yes, 23.82 is greater than or equal to the variable m", "session_id": 4802, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "23 is the question", "session_id": 4802, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "OH", "session_id": 4802, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "Its ok ", "session_id": 4802, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "In sorry", "session_id": 4802, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "So for m, it can be any number less than or equal to 82", "session_id": 4802, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "& that would be your three solutions", "session_id": 4802, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "Oh ", "session_id": 4802, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "Sorry if I wasted your time I just didn\u2019t understand thank you so much", "session_id": 4802, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "For helping ", "session_id": 4802, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "No worries at all, I am here to help :)", "session_id": 4802, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "Thank you", "session_id": 4802, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "Have a good night!", "session_id": 4802, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "Have a good night!", "session_id": 4802, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "Goodbye", "session_id": 4802, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "hi", "session_id": 4805, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "sorry for hopping on so late", "session_id": 4805, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "i was wondering if u could help me check my project for geometry", "session_id": 4805, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "Hi Ethan! My name\u2019s Sarah. And of course I can help you go over your project!", "session_id": 4805, "sequence_id": 3, "annotations": [{"pii_type": "PERSON", "surrogate": "Ethan", "start": 3, "end": 8}, {"pii_type": "PERSON", "surrogate": "Sarah", "start": 20, "end": 25}]}
{"role": "student", "content": "great let me just paste the slides into the blank box on the left", "session_id": 4805, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "Sounds good!", "session_id": 4805, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "theres 7 slides by the way and its about rotations, like translation, reflection and rotations", "session_id": 4805, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "Got it!", "session_id": 4805, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "just pasted it! i just want to know if i did it correctly", "session_id": 4805, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "Yes! I can see all seven slides", "session_id": 4805, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "great", "session_id": 4805, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "Do you mind giving me some background on the requirements for your project?", "session_id": 4805, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "this is what i need to submit", "session_id": 4805, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "You will have a Google Slides presentation containing:\no A Cover Page including your Name, Period, and the title of this project.\no Part 1 Slides\n\u25aa Two Translations Logos (with explanations)\n\u25aa Two Reflections Logos (with explanations)\n\u25aa Two Rotations Logos (with explanations)\no Part 2 Slides\n\u25aa Personal Logo (with explanations)", "session_id": 4805, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "Part 1:\n\u25cf Search the internet for popular and successful logos.\n\u25cf Make a Google Slides presentation that shows the following:\no Two logos that show a translation. Include a sentence for each logo, describing in which direction it\nwas translated.\no Two logos that show a reflection. Include a sentence for each logo that states what type of line the\nlogo is reflected across. You must also draw the line of reflection in each logo on this slide.\no Two logos that show a rotation. Include a sentence for each logo that states the angle of rotation\nand where the point of rotation would be.", "session_id": 4805, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "Awesome! Please give me a few minutes to look over the slides", "session_id": 4805, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "ofc take your time", "session_id": 4805, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "Ok, lets go over the slides that show reflection first!", "session_id": 4805, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "alright", "session_id": 4805, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "I think that the logos you chose are great! I saw that in the instructions it asked for the line of reflection to be drawn on the slide. I think the first step is to add that!", "session_id": 4805, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "so you mean draw a line in the middle right??", "session_id": 4805, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "in the middle of the logo?", "session_id": 4805, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "The line of reflection is essentially a line of symmetry. It divides the logo into two mirrored halves.", "session_id": 4805, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "okay got it perfect", "session_id": 4805, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "Great! The target logo you chose is actually unique in this case.", "session_id": 4805, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "This is because circles have an infinite number of lines of symmetry!", "session_id": 4805, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "In this case, I believe it would be worth mentioning this when describing the target logo!", "session_id": 4805, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "okay yes I agree thank you", "session_id": 4805, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "I also saw that the instructions would like you to identify what type of line the logo is reflected across", "session_id": 4805, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "how would i find that out", "session_id": 4805, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "For example, with the letter \u201cA\u201d, the letter would be divided evenly by a vertical line", "session_id": 4805, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "oh yes yes, I was planning on putting the line vertical for the letter A, the target logo, and the starbucks logo", "session_id": 4805, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "It is also important to remember since the circle is unique in the fact that it has infinite lines of symmetry, it can also be divided equally by a diagonal line or a horizontal line", "session_id": 4805, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "yes so I will put a line horizontally and vertically for the target, and starbucks logo, as well as the letter A", "session_id": 4805, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "Exactly! The letter A and Starbucks can only be divided by a vertical line. But, the target logo can be divided by various lines! Awesome job!", "session_id": 4805, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "Do you feel ready to move onto the slides about translation?", "session_id": 4805, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "so only for the target logo i add two lines correct? horizontal and veritcal?", "session_id": 4805, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "diagonal lines can also be lines of symmetry", "session_id": 4805, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "okay yes i undersatand", "session_id": 4805, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "Great!", "session_id": 4805, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "Lets move onto translations then", "session_id": 4805, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "yes", "session_id": 4805, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "I saw that your instructions require you to describe the direction in which the logo is translated", "session_id": 4805, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "yes", "session_id": 4805, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "The Audi logo looks good!", "session_id": 4805, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "Can you walk me through your description of the Adidas stripes?", "session_id": 4805, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "yes so basically the adidas stripes are the same shape and are spaced out the same amount for each, as well as slanted so when rotated it is constant", "session_id": 4805, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "Can you explain the \u201crotation\u201d aspect to me more?", "session_id": 4805, "sequence_id": 47, "annotations": []}
{"role": "student", "content": "like the adidas stripes are slanted so they keep even spacing even if turned", "session_id": 4805, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "Since this is about the translation of the shape, rotation isn\u2019t a major concern. To put it simply, a translation is the sliding of a shape left, right, up, down, or diagonally.", "session_id": 4805, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "The shape\u2019s size or rotation/orientation does not change", "session_id": 4805, "sequence_id": 50, "annotations": []}
{"role": "student", "content": "okay will rewrite it there", "session_id": 4805, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "I think you did a good job explaining that the shape\u2019s size and appearance does not change. But, I believe it could be beneficial to mention the direction the shapes are moving in", "session_id": 4805, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "Other than that, everything looks pretty good to me!", "session_id": 4805, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "Let me know if you have any other questions or if you feel ready to move onto the rotation slides", "session_id": 4805, "sequence_id": 54, "annotations": []}
{"role": "student", "content": "for the direction of the shapes moving for adidas, what should i write", "session_id": 4805, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "Does it look like the stripes are sliding up, down, right, left, or diagonally?", "session_id": 4805, "sequence_id": 56, "annotations": []}
{"role": "student", "content": "diagonally", "session_id": 4805, "sequence_id": 57, "annotations": []}
{"role": "student", "content": "to the right", "session_id": 4805, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "Yes it appears that way!", "session_id": 4805, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "Nice work!", "session_id": 4805, "sequence_id": 60, "annotations": []}
{"role": "student", "content": "yay", "session_id": 4805, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "Are you ready to move onto rotations?", "session_id": 4805, "sequence_id": 62, "annotations": []}
{"role": "student", "content": "yes", "session_id": 4805, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "Lets begin with the Mitsubishi logo", "session_id": 4805, "sequence_id": 64, "annotations": []}
{"role": "student", "content": "okay", "session_id": 4805, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "Based on the instructions, it looks like you have to identify the point of rotation, and angle of rotation", "session_id": 4805, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "Can you identify the point of location on the logo?", "session_id": 4805, "sequence_id": 67, "annotations": []}
{"role": "student", "content": "its the center of the logo", "session_id": 4805, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "Yep! Thats the central point which the logo rotates around", "session_id": 4805, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "Do you know how to identify the angle of rotation?", "session_id": 4805, "sequence_id": 70, "annotations": []}
{"role": "student", "content": "no", "session_id": 4805, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "I marked up the logo a little", "session_id": 4805, "sequence_id": 72, "annotations": []}
{"role": "student", "content": "should i draw that on my slide?", "session_id": 4805, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "It\u2019s essentially the smallest angle that makes the shape look the same", "session_id": 4805, "sequence_id": 74, "annotations": []}
{"role": "volunteer", "content": "Your instructions say to just write the angle and point of rotation in a sentence. Is your instructor looking for you to identify an exact measure of the angle?", "session_id": 4805, "sequence_id": 75, "annotations": []}
{"role": "student", "content": "I don't know, but i think it would be good if i did write it", "session_id": 4805, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "We can find the exact measure of the angle two different ways", "session_id": 4805, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "The first way, is if you have access to a protractor, you can line up the center point and the angles rays to find the measure", "session_id": 4805, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "It is also possible to find the measure by hand", "session_id": 4805, "sequence_id": 79, "annotations": []}
{"role": "student", "content": "oh", "session_id": 4805, "sequence_id": 80, "annotations": []}
{"role": "volunteer", "content": "To find the measure of the angle by hand, we first have to find the amount of degrees in a full circle. Do you know how many degrees a circle has?", "session_id": 4805, "sequence_id": 81, "annotations": []}
{"role": "student", "content": "360", "session_id": 4805, "sequence_id": 82, "annotations": []}
{"role": "volunteer", "content": "Awesome!", "session_id": 4805, "sequence_id": 83, "annotations": []}
{"role": "volunteer", "content": "Now, because the Mitsubishi logo has 3 diamond shapes equally spaced out around the circle, the rotational angle for the logo is one-third of the full circle!", "session_id": 4805, "sequence_id": 84, "annotations": []}
{"role": "volunteer", "content": "Thus, to find the measure of one rotational angle, we would multiply 360(the degrees of a full circle) with (1/3) to find the answer!", "session_id": 4805, "sequence_id": 85, "annotations": []}
{"role": "volunteer", "content": "When you try the problem, what answer do you get for the measure of the rotational angle?", "session_id": 4805, "sequence_id": 86, "annotations": []}
{"role": "student", "content": "120", "session_id": 4805, "sequence_id": 87, "annotations": []}
{"role": "student", "content": "?", "session_id": 4805, "sequence_id": 88, "annotations": []}
{"role": "volunteer", "content": "Yes, exactly! Fantastic job!", "session_id": 4805, "sequence_id": 89, "annotations": []}
{"role": "student", "content": "great", "session_id": 4805, "sequence_id": 90, "annotations": []}
{"role": "volunteer", "content": "Alright, now the last slide we have is the google chrome logo", "session_id": 4805, "sequence_id": 91, "annotations": []}
{"role": "volunteer", "content": "Can you identify the point of rotation?", "session_id": 4805, "sequence_id": 92, "annotations": []}
{"role": "student", "content": "the center?", "session_id": 4805, "sequence_id": 93, "annotations": []}
{"role": "volunteer", "content": "Yep!", "session_id": 4805, "sequence_id": 94, "annotations": []}
{"role": "volunteer", "content": "Now, if we apply what we just did to solve for the angle of rotation of the Mitsubishi logo to the chrome logo, what angle of rotation do we get for the chrome logo?", "session_id": 4805, "sequence_id": 95, "annotations": []}
{"role": "student", "content": "120 as well??", "session_id": 4805, "sequence_id": 96, "annotations": []}
{"role": "volunteer", "content": "This logo is interesting because it also has different colors.", "session_id": 4805, "sequence_id": 97, "annotations": []}
{"role": "volunteer", "content": "If the logo is rotated 120 degrees, the shapes remain the same, but the colors are in different positions", "session_id": 4805, "sequence_id": 98, "annotations": []}
{"role": "volunteer", "content": "So the angle of rotation that would give us the exact same image as the logo 360 degrees", "session_id": 4805, "sequence_id": 99, "annotations": []}
{"role": "volunteer", "content": "In this case, I\u2019m not quite sure if your instructor is concerned about the colors of the logo? But it could be beneficial to mention both angles", "session_id": 4805, "sequence_id": 100, "annotations": []}
{"role": "student", "content": "so which angles and how would i find them", "session_id": 4805, "sequence_id": 101, "annotations": []}
{"role": "volunteer", "content": "So to simplify it, 120 degree rotation gives us a chrome logo that has the same shapes as the starting point, but the colors are messed up", "session_id": 4805, "sequence_id": 102, "annotations": []}
{"role": "volunteer", "content": "If we rotate the 360 degrees, then the shapes are in the correct position AND the colors are in the same position as the starting point", "session_id": 4805, "sequence_id": 103, "annotations": []}
{"role": "volunteer", "content": "Does that clarify things a bit more?", "session_id": 4805, "sequence_id": 104, "annotations": []}
{"role": "student", "content": "yes", "session_id": 4805, "sequence_id": 105, "annotations": []}
{"role": "volunteer", "content": "Great! Looks like we\u2019ve gone through all the slides! Do you have any remaining questions for me?", "session_id": 4805, "sequence_id": 106, "annotations": []}
{"role": "student", "content": "no", "session_id": 4805, "sequence_id": 107, "annotations": []}
{"role": "volunteer", "content": "It was so great to work with you! Wishing you good luck on your geometry project! :)", "session_id": 4805, "sequence_id": 108, "annotations": []}
{"role": "student", "content": "thank you so much for helping me, means a lot! have a good rest of ur night :)", "session_id": 4805, "sequence_id": 109, "annotations": []}
{"role": "volunteer", "content": "No problem! Have a good night! Goodbye! :)", "session_id": 4805, "sequence_id": 110, "annotations": []}
{"role": "volunteer", "content": "heey", "session_id": 4830, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "hi", "session_id": 4830, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "I want to know how to get the answer to this", "session_id": 4830, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "okay", "session_id": 4830, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "A logarithm asks 12 raised to what power equals 144? So we rewrite it like this 12\u02e3 = 144", "session_id": 4830, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "does that make sense so far", "session_id": 4830, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "?", "session_id": 4830, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "why did the log sign go away", "session_id": 4830, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "the log sign goes away because we convert the logarithm into its equivalent exponential form", "session_id": 4830, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "oh ok", "session_id": 4830, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "A log asks what power (c) do I put on the base (b) to get the number (a)?", "session_id": 4830, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "Replace the log with its meaning 12^x=144", "session_id": 4830, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "we translated it into the equivalent exponential equation", "session_id": 4830, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "final answer x=2", "session_id": 4830, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "how did you get x=2 from 12^x=144", "session_id": 4830, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "oh", "session_id": 4830, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "nvm", "session_id": 4830, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "12 squared is 144", "session_id": 4830, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "ok I have another problem", "session_id": 4830, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "correct", "session_id": 4830, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "ofc", "session_id": 4830, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "I have it on the board", "session_id": 4830, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "okay", "session_id": 4830, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "Rewrite the log as an exponent", "session_id": 4830, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "I thought 2 replaced x as the exponent already", "session_id": 4830, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "36 becomes 6\u00b2 but x is still unknown", "session_id": 4830, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "ok", "session_id": 4830, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "if 6 to the power of 1 is 6 why did you write it as 1", "session_id": 4830, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "When we change the logarithm into an exponent equation, we need both sides to look the same so we can compare them. One side already has a power. The other side does not look like a power yet even though every number is actually itself raised to the first power. We write the missing power on purpose so both sides match in form. Once both sides look the same, we can compare the powers directly. That is why we write the first power even if it is normally not shown.", "session_id": 4830, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "so basically if there is no power on both sides, the one with no power will automatically have 1 as the exponent and the answer will always be 1?", "session_id": 4830, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 4830, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "ok so we get rid of both coefficients and only the exponents are left", "session_id": 4830, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "When both sides have the same base we ignore the base and only compare the exponents. That is how we solve it", "session_id": 4830, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "back to the beginning. when you write it as (6 squared) to the power of x equals 6, are you switching spots (going the opposite way) because 6 is square root of 36 and the 6 squared is equal to the 36 ^x", "session_id": 4830, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "We rewrite 36 using 6 because it helps us solve the problem. We are not switching anything just changing how the number looks.", "session_id": 4830, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "hi", "session_id": 4809, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "Hi Michael I'm Sarah Im here to help feel free to ask any questions you may have", "session_id": 4809, "sequence_id": 1, "annotations": [{"pii_type": "PERSON", "surrogate": "Michael", "start": 3, "end": 10}, {"pii_type": "PERSON", "surrogate": "Sarah", "start": 15, "end": 20}]}
{"role": "student", "content": "i will put an attachment of my homework", "session_id": 4809, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "Ah, I see this is a problem about the formula for distance based on time", "session_id": 4809, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "Are you familiar with the formula d=rt", "session_id": 4809, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "kinda", "session_id": 4809, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "its like y=mx", "session_id": 4809, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "there is a 4th on", "session_id": 4809, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "okay that is a great start! remember that distance=rate*time", "session_id": 4809, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "i will put it", "session_id": 4809, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "can I ask where 2,000 came from?", "session_id": 4809, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "that was for d", "session_id": 4809, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "ohhh I see! thank you for clarifying", "session_id": 4809, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "so in the distance=rate*time formula, can you see that rate is represented by the numbers in the answer?", "session_id": 4809, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "yes", "session_id": 4809, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "i can tell because it goes in order", "session_id": 4809, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "Great:) do you know what the rate of the winchester bullet is?", "session_id": 4809, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "1924 miles per hr", "session_id": 4809, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "Perfect!", "session_id": 4809, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "can you identify which answers have a rate that is faster 300 mph", "session_id": 4809, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "c and d", "session_id": 4809, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "perfect! great work do you have any questions about that?", "session_id": 4809, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "no but there are more problems", "session_id": 4809, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "i will let you know if i need help", "session_id": 4809, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "I'm here to help!", "session_id": 4809, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "here", "session_id": 4809, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "That is a good problem! do you know where to start?", "session_id": 4809, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "well isnt it kinda the same as the other one", "session_id": 4809, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "sort of!", "session_id": 4809, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "we should start by finding the rate of the graph and the equation, that will make it much easier to comparte", "session_id": 4809, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "okay", "session_id": 4809, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "do you have any questions about how to do that? :)", "session_id": 4809, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "so isnt it the graoh if im correct?\\", "session_id": 4809, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "that right!!!!!!", "session_id": 4809, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "YAYYYYY", "session_id": 4809, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "do you have any question about how you got that answer", "session_id": 4809, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "no", "session_id": 4809, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "this is another good problem! do you know where to start?", "session_id": 4809, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "no", "session_id": 4809, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "thats okay, I can help :)", "session_id": 4809, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "how familiar are you with graphing?", "session_id": 4809, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "ehhhh.", "session_id": 4809, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "mid-ish i guess", "session_id": 4809, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "thats perfectly okay, I can help!", "session_id": 4809, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "you did say earlier that you know the y=m formula correct?", "session_id": 4809, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "y=mx yes", "session_id": 4809, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "oh yes, the +b will likely be in the next lesson, sorry for confusing you", "session_id": 4809, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "do you know what the rate/slope is of the equation that we are given?", "session_id": 4809, "sequence_id": 47, "annotations": []}
{"role": "student", "content": "no", "session_id": 4809, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "no worries, in the formula y=mx, m is the slope/rate of the line", "session_id": 4809, "sequence_id": 49, "annotations": []}
{"role": "student", "content": "that line", "session_id": 4809, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "we need to move the point of that line to make it y=2.5x", "session_id": 4809, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "okay", "session_id": 4809, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "remember that y=mx always starts at the origin (0,0)", "session_id": 4809, "sequence_id": 53, "annotations": []}
{"role": "student", "content": "wait 2.5?", "session_id": 4809, "sequence_id": 54, "annotations": []}
{"role": "student", "content": "oksy", "session_id": 4809, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "yeah! 2.5 is the slope!", "session_id": 4809, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "great work!", "session_id": 4809, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "do  you have any other questions about the graph or multiple choice?", "session_id": 4809, "sequence_id": 58, "annotations": []}
{"role": "student", "content": "i will be right back", "session_id": 4809, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "are you still there?", "session_id": 4809, "sequence_id": 60, "annotations": []}
{"role": "student", "content": "i am back noe", "session_id": 4809, "sequence_id": 61, "annotations": []}
{"role": "student", "content": "now*", "session_id": 4809, "sequence_id": 62, "annotations": []}
{"role": "student", "content": "c is the only answer correct", "session_id": 4809, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "C is correct!!", "session_id": 4809, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "I would also take a look at A and E. I can help explain them if you need", "session_id": 4809, "sequence_id": 65, "annotations": []}
{"role": "student", "content": "okay", "session_id": 4809, "sequence_id": 66, "annotations": []}
{"role": "student", "content": "okay*", "session_id": 4809, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "Do you understand why those are also correct?", "session_id": 4809, "sequence_id": 68, "annotations": []}
{"role": "student", "content": "yes i will be right back", "session_id": 4809, "sequence_id": 69, "annotations": []}
{"role": "student", "content": "im back", "session_id": 4809, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "great! let me know if you need help:)", "session_id": 4809, "sequence_id": 71, "annotations": []}
{"role": "student", "content": "howdoi do the graph beccause its saying its wrong", "session_id": 4809, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "can you show me what you submitted for the graph?", "session_id": 4809, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "I see! great work starting at the origin, but we need to look at the second point.", "session_id": 4809, "sequence_id": 74, "annotations": []}
{"role": "volunteer", "content": "Do you recall what the slope is supposed to be?", "session_id": 4809, "sequence_id": 75, "annotations": []}
{"role": "student", "content": "2,5", "session_id": 4809, "sequence_id": 76, "annotations": []}
{"role": "student", "content": "2.5*", "session_id": 4809, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "great work!!!  it might be helpful to put that into the fraction form, do you know what that is?", "session_id": 4809, "sequence_id": 78, "annotations": []}
{"role": "student", "content": "errrrrr. no", "session_id": 4809, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "no worries, we can write it as 5/2, I will write the work in the whiteboard.", "session_id": 4809, "sequence_id": 80, "annotations": []}
{"role": "student", "content": "okay", "session_id": 4809, "sequence_id": 81, "annotations": []}
{"role": "volunteer", "content": "alright, I wrote it. do you understand that process or should I explain it further:)", "session_id": 4809, "sequence_id": 82, "annotations": []}
{"role": "student", "content": "do i put that on the board", "session_id": 4809, "sequence_id": 83, "annotations": []}
{"role": "student", "content": "no i meant the graph", "session_id": 4809, "sequence_id": 84, "annotations": []}
{"role": "volunteer", "content": "I can see the graph, now we need to change the location of the second point", "session_id": 4809, "sequence_id": 85, "annotations": []}
{"role": "student", "content": "i got it", "session_id": 4809, "sequence_id": 86, "annotations": []}
{"role": "volunteer", "content": "because we rewrote the slope as 5/2, we can use rise over run", "session_id": 4809, "sequence_id": 87, "annotations": []}
{"role": "student", "content": "next question", "session_id": 4809, "sequence_id": 88, "annotations": []}
{"role": "volunteer", "content": "I'm sorry, but I have to go now. Please feel free to start a new session with a different tutor. You did great work today, I hope you understand this better!  :)))", "session_id": 4809, "sequence_id": 89, "annotations": []}
{"role": "student", "content": "Laws of exponents ", "session_id": 4893, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 4893, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "1. Product of Powers Rule\n\ud835\udc4e\n\ud835\udc5a\n\u22c5\n\ud835\udc4e\n\ud835\udc5b\n=\n\ud835\udc4e\n\ud835\udc5a\n+\n\ud835\udc5b\na\nm\n\u22c5a\nn\n=a\nm+n\n\nMeaning: When multiplying two expressions with the same base, you add their exponents.\nExample:\n\n\ud835\udc65\n3\n\u22c5\n\ud835\udc65\n5\n=\n\ud835\udc65\n3\n+\n5\n=\n\ud835\udc65\n8\nx\n3\n\u22c5x\n5\n=x\n3+5\n=x\n8\n2. Quotient of Powers Rule\n\ud835\udc4e\n\ud835\udc5a\n\ud835\udc4e\n\ud835\udc5b\n=\n\ud835\udc4e\n\ud835\udc5a\n\u2212\n\ud835\udc5b\n(\n\ud835\udc4e\n\u2260\n0\n)\na\nn\na\nm\n\t\u200b\n\n=a\nm\u2212n\n(a\n\ue020\n=0)\n\nMeaning: When dividing two expressions with the same base, subtract the exponents.\nExample:\n\n\ud835\udc66\n7\n\ud835\udc66\n2\n=\n\ud835\udc66\n7\n\u2212\n2\n=\n\ud835\udc66\n5\ny\n2\ny\n7\n\t\u200b\n\n=y\n7\u22122\n=y\n5\n3. Power of a Power Rule\n(\n\ud835\udc4e\n\ud835\udc5a\n)\n\ud835\udc5b\n=\n\ud835\udc4e\n\ud835\udc5a\n\u22c5\n\ud835\udc5b\n(a\nm\n)\nn\n=a\nm\u22c5n\n\nMeaning: When raising a power to another power, multiply the exponents.\nExample:\n\n(\n\ud835\udc65\n3\n)\n4\n=\n\ud835\udc65\n3\n\u22c5\n4\n=\n\ud835\udc65\n12\n(x\n3\n)\n4\n=x\n3\u22c54\n=x\n12\n4. Power of a Product Rule\n(\n\ud835\udc4e\n\ud835\udc4f\n)\n\ud835\udc5b\n=\n\ud835\udc4e\n\ud835\udc5b\n\u22c5\n\ud835\udc4f\n\ud835\udc5b\n(ab)\nn\n=a\nn\n\u22c5b\nn\n\nMeaning: A product raised to a power is equal to each factor raised to that power.\nExample:\n\n(\n2\n\ud835\udc65\n)\n3\n=\n2\n3\n\u22c5\n\ud835\udc65\n3\n=\n8\n\ud835\udc65\n3\n(2x)\n3\n=2\n3\n\u22c5x\n3\n=8x\n3\n5. Power of a Quotient Rule\n(\n\ud835\udc4e\n\ud835\udc4f\n)\n\ud835\udc5b\n=\n\ud835\udc4e\n\ud835\udc5b\n\ud835\udc4f\n\ud835\udc5b\n(\n\ud835\udc4f\n\u2260\n0\n)\n(\nb\na\n\t\u200b\n\n)\nn\n=\nb\nn\na\nn\n\t\u200b\n\n(b\n\ue020\n=0)\n\nMeaning: A fraction raised to a power is equal to the numerator and denominator each raised to that power.\nExample:\n\n(\n3\n4\n)\n2\n=\n3\n2\n4\n2\n=\n9\n16\n(\n4\n3\n\t\u200b\n\n)\n2\n=\n4\n2\n3\n2\n\t\u200b\n\n=\n16\n9\n\t\u200b\n\n6. Zero Exponent Rule\n\ud835\udc4e\n0\n=\n1\n(\n\ud835\udc4e\n\u2260\n0\n)\na\n0\n=1(a\n\ue020\n=0)\n\nMeaning: Any nonzero number raised to the power of 0 is 1.\nExample:\n\n7\n0\n=\n1\n7\n0\n=1\n7. Negative Exponent Rule\n\ud835\udc4e\n\u2212\n\ud835\udc5b\n=\n1\n\ud835\udc4e\n\ud835\udc5b\n(\n\ud835\udc4e\n\u2260\n0\n)\na\n\u2212n\n=\na\nn\n1\n\t\u200b\n\n(a\n\ue020\n=0)\n\nMeaning: A negative exponent means take the reciprocal of the base raised to the positive exponent.\nExample:\n\n\ud835\udc65\n\u2212\n3\n=\n1\n\ud835\udc65\n3\nx\n\u22123\n=\nx\n3\n1\n\t\u200b", "session_id": 4893, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "The laws of exponents are rules that help simplify expressions involving powers of numbers or variables. The product of powers rule states that when multiplying two expressions with the same base, you add their exponents, such as \n\ud835\udc65\n3\n\u22c5\n\ud835\udc65\n5\n=\n\ud835\udc65\n8\nx\n3\n\u22c5x\n5\n=x\n8\n. The quotient of powers rule says that when dividing expressions with the same base, you subtract the exponents: \n\ud835\udc66\n7\n\ud835\udc66\n2\n=\n\ud835\udc66\n5\ny\n2\ny\n7\n\t\u200b\n\n=y\n5\n. When raising a power to another power, the power of a power rule applies, which means you multiply the exponents, as in \n(\n\ud835\udc65\n3\n)\n4\n=\n\ud835\udc65\n12\n(x\n3\n)\n4\n=x\n12\n. The power of a product rule tells us that a product raised to a power is equal to each factor raised to that power, for example, \n(\n2\n\ud835\udc65\n)\n3\n=\n2\n3\n\u22c5\n\ud835\udc65\n3\n=\n8\n\ud835\udc65\n3\n(2x)\n3\n=2\n3\n\u22c5x\n3\n=8x\n3\n, and similarly, the power of a quotient rule states that a fraction raised to a power is equal to the numerator and denominator each raised to that power, such as \n(\n3\n4\n)\n2\n=\n9\n16\n(\n4\n3\n\t\u200b\n\n)\n2\n=\n16\n9\n\t\u200b\n\n. The zero exponent rule explains that any nonzero number raised to the power of zero is 1, like \n7\n0\n=\n1\n7\n0\n=1, while the negative exponent rule indicates that a negative exponent represents the reciprocal of the base raised to the positive exponent, for example, \n\ud835\udc65\n\u2212\n3\n=\n1\n\ud835\udc65\n3\nx\n\u22123\n=\nx\n3\n1\n\t\u200b\n\n. Together, these rules make working with exponents systematic and much easier.", "session_id": 4893, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "refer to this link: https://www.mathresources.org/exponents", "session_id": 4893, "sequence_id": 4, "annotations": [{"pii_type": "URL", "surrogate": "https://www.mathresources.org/exponents", "start": 20, "end": 59}]}
{"role": "student", "content": "I had a specific question actually we could do", "session_id": 4893, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "sure", "session_id": 4893, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "draw it", "session_id": 4893, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "Ok it\u2019s up", "session_id": 4893, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "so let me be clear its 2u^3 times 3u^3", "session_id": 4893, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "and what's the third term", "session_id": 4893, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "It\u2019s 2v^3 times 3u^3v-4", "session_id": 4893, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "6u^3/v\n\t\u200b", "session_id": 4893, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "first multiuply the coefficients", "session_id": 4893, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "to get 6", "session_id": 4893, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "then", "session_id": 4893, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "multiply the powers", "session_id": 4893, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "then", "session_id": 4893, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "bring in u^3, then combine everything", "session_id": 4893, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "to get 6u^3/v", "session_id": 4893, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "stick around if you need any more help", "session_id": 4893, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "Wait so multiply 3 3 and -4", "session_id": 4893, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "That gave me -36", "session_id": 4893, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "you said 3u^3v-4", "session_id": 4893, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "only 3 is the exponent there", "session_id": 4893, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "3 is the coefficient i mean", "session_id": 4893, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "only 3 and 2 are the coefficients", "session_id": 4893, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "Oh I meant 2v^3 times 3u^3 v^-4", "session_id": 4893, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "once again same answer", "session_id": 4893, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "2v\n3\n\u00d73u\n3\nv\n\u22124\n\nStep 1: Multiply the numerical coefficients:\n\n2\n\u00d7\n3\n=\n6\n2\u00d73=6\n\nStep 2: Multiply powers of \n\ud835\udc63\nv using the law of exponents (\n\ud835\udc4e\n\ud835\udc5a\n\u22c5\n\ud835\udc4e\n\ud835\udc5b\n=\n\ud835\udc4e\n\ud835\udc5a\n+\n\ud835\udc5b\na\nm\n\u22c5a\nn\n=a\nm+n\n)\n\n\ud835\udc63\n3\n\u22c5\n\ud835\udc63\n\u2212\n4\n=\n\ud835\udc63\n3\n+\n(\n\u2212\n4\n)\n=\n\ud835\udc63\n\u2212\n1\n=\n1\n\ud835\udc63\nv\n3\n\u22c5v\n\u22124\n=v\n3+(\u22124)\n=v\n\u22121\n=\nv\n1\n\t\u200b\n\n\nStep 3: Include \n\ud835\udc62\n3\nu\n3\n:\n\n6\n\u22c5\n\ud835\udc62\n3\n\u22c5\n\ud835\udc63\n\u2212\n1\n=\n6\n\ud835\udc62\n3\n\ud835\udc63\n\u2212\n1\n=\n6\n\ud835\udc62\n3\n\ud835\udc63\n6\u22c5u\n3\n\u22c5v\n\u22121\n=6u\n3\nv\n\u22121\n=\nv\n6u\n3\n\t\u200b\n\n\nFinal Answer:\n\n6\n\ud835\udc62\n3\n\ud835\udc63\nv\n6u\n3\n\t\u200b", "session_id": 4893, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "trust me", "session_id": 4893, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "that's the answer", "session_id": 4893, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "Everything you typed was vertical so it\u2019s kind of hard for me to follow along could you maybe write it down?", "session_id": 4893, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "sure", "session_id": 4893, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "there you go", "session_id": 4893, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "Thanks", "session_id": 4893, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "stay in case you have more questionss", "session_id": 4893, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "Actually I do have one more problem to do", "session_id": 4893, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "SURE!", "session_id": 4893, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "I can try to post it ", "session_id": 4893, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "sure!", "session_id": 4893, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "Nevermind it\u2019s not uploading ", "session_id": 4893, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "put it in a google doc and send me the link to the doc", "session_id": 4893, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "Ok ", "session_id": 4893, "sequence_id": 43, "annotations": []}
{"role": "student", "content": "https://docs.google.com/document/d/example", "session_id": 4893, "sequence_id": 44, "annotations": [{"pii_type": "URL", "surrogate": "https://docs.google.com/document/d/example", "start": 0, "end": 42}]}
{"role": "volunteer", "content": "1 is x^12", "session_id": 4893, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "number 2 is x^8", "session_id": 4893, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "number 3 is x^12", "session_id": 4893, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "number 4 is x^12", "session_id": 4893, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "number 5 is x^12", "session_id": 4893, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "so its number 2", "session_id": 4893, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "got it?", "session_id": 4893, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "Can you show me how you solved each one on the white board?", "session_id": 4893, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "there you go", "session_id": 4893, "sequence_id": 53, "annotations": []}
{"role": "student", "content": " \nThank you ", "session_id": 4893, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "yes of course!", "session_id": 4893, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "I'll be here in case you need help!", "session_id": 4893, "sequence_id": 56, "annotations": []}
{"role": "student", "content": "Ok!", "session_id": 4893, "sequence_id": 57, "annotations": []}
{"role": "student", "content": " I think im starting to understand this ", "session_id": 4893, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "that's amazing!", "session_id": 4893, "sequence_id": 59, "annotations": []}
{"role": "student", "content": "Can we do some more practice problems on this?", "session_id": 4893, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 4893, "sequence_id": 61, "annotations": []}
{"role": "student", "content": "Ok ", "session_id": 4893, "sequence_id": 62, "annotations": []}
{"role": "student", "content": "The first one is y^5/Zoe ", "session_id": 4893, "sequence_id": 63, "annotations": [{"pii_type": "PERSON", "surrogate": "Zoe", "start": 21, "end": 24}]}
{"role": "student", "content": "Would I just add the exponents together? ", "session_id": 4893, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "subtract the exponents", "session_id": 4893, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "since its division", "session_id": 4893, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "so it'd be y^2", "session_id": 4893, "sequence_id": 67, "annotations": []}
{"role": "student", "content": "Oh", "session_id": 4893, "sequence_id": 68, "annotations": []}
{"role": "student", "content": "Ok the next one is 4^6/4^x=4^0", "session_id": 4893, "sequence_id": 69, "annotations": []}
{"role": "student", "content": "Should I subtract6 and0", "session_id": 4893, "sequence_id": 70, "annotations": []}
{"role": "student", "content": "Or would the answer automatically be 0?", "session_id": 4893, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "it would be 6 for x", "session_id": 4893, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "since 4^6-4^6 would be 4^0", "session_id": 4893, "sequence_id": 73, "annotations": []}
{"role": "student", "content": "I\u2019m confused could you write it out on the board and explain it a little more?", "session_id": 4893, "sequence_id": 74, "annotations": []}
{"role": "student", "content": "Where did you get the extra 6 from?", "session_id": 4893, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "arent you asking what x is", "session_id": 4893, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "dont you olve for x", "session_id": 4893, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "solve", "session_id": 4893, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "?", "session_id": 4893, "sequence_id": 79, "annotations": []}
{"role": "student", "content": "Oh I think so because it says x=?", "session_id": 4893, "sequence_id": 80, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 4893, "sequence_id": 81, "annotations": []}
{"role": "volunteer", "content": "so.x =6", "session_id": 4893, "sequence_id": 82, "annotations": []}
{"role": "student", "content": "But how do you know that?", "session_id": 4893, "sequence_id": 83, "annotations": []}
{"role": "volunteer", "content": "because of the queotient rule", "session_id": 4893, "sequence_id": 84, "annotations": []}
{"role": "volunteer", "content": "it's asking what number subtracted by 6 would be 0", "session_id": 4893, "sequence_id": 85, "annotations": []}
{"role": "student", "content": "Oh ", "session_id": 4893, "sequence_id": 86, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 4893, "sequence_id": 87, "annotations": []}
{"role": "student", "content": "What does the quotient rule say again?", "session_id": 4893, "sequence_id": 88, "annotations": []}
{"role": "volunteer", "content": "https://www.mathisfun.com/algebra/exponent-rules.html", "session_id": 4893, "sequence_id": 89, "annotations": [{"pii_type": "URL", "surrogate": "https://www.mathisfun.com/algebra/exponent-rules.html", "start": 0, "end": 53}]}
{"role": "volunteer", "content": "watch this", "session_id": 4893, "sequence_id": 90, "annotations": []}
{"role": "student", "content": "Ok", "session_id": 4893, "sequence_id": 91, "annotations": []}
{"role": "student", "content": "Oh I can\u2019t click on the link", "session_id": 4893, "sequence_id": 92, "annotations": []}
{"role": "volunteer", "content": "copy paste it in a new tab", "session_id": 4893, "sequence_id": 93, "annotations": []}
{"role": "student", "content": "That what I tried to do but I can\u2019t highlight it or anything", "session_id": 4893, "sequence_id": 94, "annotations": []}
{"role": "volunteer", "content": "yes you should be able to", "session_id": 4893, "sequence_id": 95, "annotations": []}
{"role": "volunteer", "content": "copy paste over it", "session_id": 4893, "sequence_id": 96, "annotations": []}
{"role": "student", "content": "That\u2019s*", "session_id": 4893, "sequence_id": 97, "annotations": []}
{"role": "volunteer", "content": "https://www.mathisfun.com/algebra/exponent-rules.html", "session_id": 4893, "sequence_id": 98, "annotations": [{"pii_type": "URL", "surrogate": "https://www.mathisfun.com/algebra/exponent-rules.html", "start": 0, "end": 53}]}
{"role": "volunteer", "content": "highlight it and copy it", "session_id": 4893, "sequence_id": 99, "annotations": []}
{"role": "volunteer", "content": "and paste it", "session_id": 4893, "sequence_id": 100, "annotations": []}
{"role": "student", "content": "It\u2019s nit letting me highlight it", "session_id": 4893, "sequence_id": 101, "annotations": []}
{"role": "volunteer", "content": "The quotient rule for exponents states that when you divide two exponential expressions with the same base, you subtract the exponents. To apply the rule, keep the base the same and find the difference between the exponent in the numerator and the exponent in the denominator. The formula is written as: \\(x^{a}/x^{b}=x^{(a-b)}\\).", "session_id": 4893, "sequence_id": 102, "annotations": []}
{"role": "volunteer", "content": "okay that's fine", "session_id": 4893, "sequence_id": 103, "annotations": []}
{"role": "volunteer", "content": "look and read i", "session_id": 4893, "sequence_id": 104, "annotations": []}
{"role": "student", "content": "Not*", "session_id": 4893, "sequence_id": 105, "annotations": []}
{"role": "student", "content": "ok", "session_id": 4893, "sequence_id": 106, "annotations": []}
{"role": "student", "content": "Ok", "session_id": 4893, "sequence_id": 107, "annotations": []}
{"role": "student", "content": "I read it ", "session_id": 4893, "sequence_id": 108, "annotations": []}
{"role": "student", "content": "It kind of makes sense", "session_id": 4893, "sequence_id": 109, "annotations": []}
{"role": "volunteer", "content": "alright bet", "session_id": 4893, "sequence_id": 110, "annotations": []}
{"role": "volunteer", "content": "ill be here in caseyou need hel", "session_id": 4893, "sequence_id": 111, "annotations": []}
{"role": "volunteer", "content": "brb in 5 minutes.", "session_id": 4893, "sequence_id": 112, "annotations": []}
{"role": "volunteer", "content": "have to do something", "session_id": 4893, "sequence_id": 113, "annotations": []}
{"role": "student", "content": "Ok ", "session_id": 4893, "sequence_id": 114, "annotations": []}
{"role": "volunteer", "content": "need help with anything?", "session_id": 4893, "sequence_id": 115, "annotations": []}
{"role": "student", "content": "Hey Michael!", "session_id": 5415, "sequence_id": 0, "annotations": [{"pii_type": "PERSON", "surrogate": "Michael", "start": 4, "end": 11}]}
{"role": "volunteer", "content": "Hi again.", "session_id": 5415, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "Good meeting you", "session_id": 5415, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "You too.", "session_id": 5415, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "Where is the line that corresponds to two batches of bagels?", "session_id": 5415, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "every 5 people = one batches of bagel?", "session_id": 5415, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "so 10?", "session_id": 5415, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "All they ask is how many people can be served with two batches. So you just look at the max x value", "session_id": 5415, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "Yes, it's 10", "session_id": 5415, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "Okay!", "session_id": 5415, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "so do I type in 2 or 10?", "session_id": 5415, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "But you don't need to get a definition of the function for this problem.", "session_id": 5415, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "Alright", "session_id": 5415, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "2 is the batches, 10 is the maximum size of party", "session_id": 5415, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "so I think I should type in 10", "session_id": 5415, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 5415, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "What do you think?", "session_id": 5415, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "Let's see", "session_id": 5415, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "3?", "session_id": 5415, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "Yes.", "session_id": 5415, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "I will let you know if I aced this", "session_id": 5415, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "OK.", "session_id": 5415, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "is it...", "session_id": 5415, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "7?", "session_id": 5415, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "Alright", "session_id": 5415, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "so it's 8?", "session_id": 5415, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "No, 7, right?", "session_id": 5415, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "Oh!", "session_id": 5415, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "alright", "session_id": 5415, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "Thank you so much!", "session_id": 5415, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "Happy thanksgiving", "session_id": 5415, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "Hello", "session_id": 5515, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "Hi Alice", "session_id": 5515, "sequence_id": 1, "annotations": [{"pii_type": "PERSON", "surrogate": "Alice", "start": 3, "end": 8}]}
{"role": "student", "content": "How are you today?", "session_id": 5515, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "Doing well, thanks. And you?", "session_id": 5515, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "Good, thanks", "session_id": 5515, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "Reading the problem...", "session_id": 5515, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "For this question I did the diagram but I don't know how to answer the questions", "session_id": 5515, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "Ok", "session_id": 5515, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "We can start with part (a). Do you have a guess?", "session_id": 5515, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "Not really", "session_id": 5515, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "You simply multiply two numbers. I'll show you.", "session_id": 5515, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "Give me a sec to get my tablet.", "session_id": 5515, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "Ok", "session_id": 5515, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "Do you see it?", "session_id": 5515, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "yes", "session_id": 5515, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "I can also explain using probability notation if you wish.", "session_id": 5515, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "That'd be great thanks", "session_id": 5515, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "I'll write below the upload.", "session_id": 5515, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "We want the probability that the consultation comes from a friend (F) AND relults in a tattoo (T). So P(F \u2229 T) = ?", "session_id": 5515, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "I don't know if that's correct", "session_id": 5515, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "I'm showing you the correct way on the board. Did you learn about \"conditional probability\" ?", "session_id": 5515, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "I don't think so", "session_id": 5515, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "I'll explain.", "session_id": 5515, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "I've been absent honestly so I don't know what's going on with this whole thing", "session_id": 5515, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "I really wanna get though at least b since I got like 6 minutes of class left", "session_id": 5515, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "Ok thanks", "session_id": 5515, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "P(F) = probability that consultation comes from a friend = 0.5.", "session_id": 5515, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "P(T|B) = probability of getting a tattoo (T) *GIVEN* that the consultation came from a friend = 0.8", "session_id": 5515, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "The vertical bar \"|\" means *given that*.", "session_id": 5515, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "Ok", "session_id": 5515, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "I'll write the general formula on the board.", "session_id": 5515, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "Im so sorry I have 2 minutes left", "session_id": 5515, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "OK. Did you want to end the session?", "session_id": 5515, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "Yes sorry about that thank u so much for your time I need to get to my next class \ud83d\ude05 I'll take a screen shot of this and see if I can figure it out", "session_id": 5515, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "Thanks again", "session_id": 5515, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "Hello how is it going", "session_id": 5564, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "What can I help you with today", "session_id": 5564, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "hi well how are you", "session_id": 5564, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "I'm doing good", "session_id": 5564, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "i need help understanding the concept of implicit functions", "session_id": 5564, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "Implicit differentiation?", "session_id": 5564, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "yes", "session_id": 5564, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "Alright", "session_id": 5564, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "I can help with that", "session_id": 5564, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "if you were to throw a problem at me, a simple one, I would be able to, using a step by step format, solve it pretty easily", "session_id": 5564, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "Sur", "session_id": 5564, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "Sure", "session_id": 5564, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "I'll put one on the board right now", "session_id": 5564, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "but I need to understand and really know what the question is asking, and what my answer means", "session_id": 5564, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "Okay", "session_id": 5564, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "I put one on the board", "session_id": 5564, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "Correct", "session_id": 5564, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "Or dy/dx = -x/y if you simplify", "session_id": 5564, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "That's implicit differentiation", "session_id": 5564, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "The harder questions of implicit differentiation will make you use product or quotient rules", "session_id": 5564, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "when the word differentiation is used what does it mean in any context", "session_id": 5564, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "in calculus", "session_id": 5564, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "Differentiation is basically just finding the instantaneous rate of change at a point (or finding the slope of the tangent line)", "session_id": 5564, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "Primarily to a curve", "session_id": 5564, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "so is x^2+y^2=1 a curve", "session_id": 5564, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "It's a circle", "session_id": 5564, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "With center (0, 0) and radius 1", "session_id": 5564, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "what does dy/dx represent", "session_id": 5564, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "dy/dx is the instaneous rate of change at a point x when the point (, ) is given", "session_id": 5564, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "So maybe at (0, 1)", "session_id": 5564, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "dy/dx = -2(0)/2(1) = 0", "session_id": 5564, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "So, the instaneous rate of change at x = 0 is 0", "session_id": 5564, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "It's a horizontal tangent", "session_id": 5564, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "But at (1, 0)", "session_id": 5564, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "It would be a vertical tangent, which implies it is not differentiable at that point", "session_id": 5564, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "Does that make sense?", "session_id": 5564, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "yes did i just use product rule", "session_id": 5564, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "i meant power rule", "session_id": 5564, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "I mean yeah to find the derivative of x^2 you did use the power rule", "session_id": 5564, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "Finding the derivative of y^2 involves the chain rule", "session_id": 5564, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "why is the dy/dx being mulitplied by every y value instead of x", "session_id": 5564, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "Meaning?", "session_id": 5564, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "why wont i do 2x(dy/dx)", "session_id": 5564, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "Because it's not the chain rule", "session_id": 5564, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "The derivative of x^2 uses the power rule, so it would be 2x", "session_id": 5564, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "The derivative of y^2 involves the chain rule, so derivative of outer function * derivative of inner function", "session_id": 5564, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "Hence 2y * dy/dx", "session_id": 5564, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "so if it was chain rule we would?", "session_id": 5564, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "Chain rule for what?", "session_id": 5564, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "you said because its not the chain rule at the beginning of your explaination", "session_id": 5564, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "Yeah for x^2", "session_id": 5564, "sequence_id": 50, "annotations": []}
{"role": "student", "content": "i thought it had something to do with y being the output", "session_id": 5564, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "Yeah so we use the chain rule to find the derivative of y^2", "session_id": 5564, "sequence_id": 52, "annotations": []}
{"role": "student", "content": "i usually use power rule for y^2", "session_id": 5564, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "But that wouldn't work", "session_id": 5564, "sequence_id": 54, "annotations": []}
{"role": "student", "content": "that's what I did in the problem though", "session_id": 5564, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "Because y is an implicit function to x", "session_id": 5564, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "No you did it correctly", "session_id": 5564, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "You didn't use the power rule for y^2", "session_id": 5564, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "You used the chain rule", "session_id": 5564, "sequence_id": 59, "annotations": []}
{"role": "student", "content": "because power rule is multiply exponent times coefficient and subtract by one", "session_id": 5564, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 5564, "sequence_id": 61, "annotations": []}
{"role": "student", "content": "so from y^2 i went to 2y", "session_id": 5564, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "But where did the dy/dx come from? That's not apart of the power rule", "session_id": 5564, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "It's technically power rule + chain rule in that case", "session_id": 5564, "sequence_id": 64, "annotations": []}
{"role": "student", "content": "because doesn't chain rule keep the original function then chain on the deriviative", "session_id": 5564, "sequence_id": 65, "annotations": []}
{"role": "student", "content": "I didn't do any of that", "session_id": 5564, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "It multiplies the derivative of the outer function with the derivative of the inner function", "session_id": 5564, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "The derivative of y^2 is 2y", "session_id": 5564, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "The derivative of y (inner function) is just dy/dx", "session_id": 5564, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "So, d/dx(y^2) = 2y * dy/dx", "session_id": 5564, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "One sec", "session_id": 5564, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "I need to use the restroom", "session_id": 5564, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "I'll be right back", "session_id": 5564, "sequence_id": 73, "annotations": []}
{"role": "student", "content": "ok", "session_id": 5564, "sequence_id": 74, "annotations": []}
{"role": "volunteer", "content": "Alright I'm back now", "session_id": 5564, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "Did that explanation make sense?", "session_id": 5564, "sequence_id": 76, "annotations": []}
{"role": "student", "content": "not really", "session_id": 5564, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "Oh", "session_id": 5564, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "What part didn't make sense?", "session_id": 5564, "sequence_id": 79, "annotations": []}
{"role": "student", "content": "the part where you explained why I chain rule for the terms containing y but not the ones containing x", "session_id": 5564, "sequence_id": 80, "annotations": []}
{"role": "volunteer", "content": "That's because y is an explicit function of x", "session_id": 5564, "sequence_id": 81, "annotations": []}
{"role": "volunteer", "content": "x is just", "session_id": 5564, "sequence_id": 82, "annotations": []}
{"role": "volunteer", "content": "x", "session_id": 5564, "sequence_id": 83, "annotations": []}
{"role": "volunteer", "content": "In that case, you would need to use the chain rule to differentiate y^2", "session_id": 5564, "sequence_id": 84, "annotations": []}
{"role": "volunteer", "content": "Or just y in general", "session_id": 5564, "sequence_id": 85, "annotations": []}
{"role": "student", "content": "what do they mean by implicit and explicity", "session_id": 5564, "sequence_id": 86, "annotations": []}
{"role": "student", "content": "explicit", "session_id": 5564, "sequence_id": 87, "annotations": []}
{"role": "volunteer", "content": "Implicit basically means y is not explictly mentioned", "session_id": 5564, "sequence_id": 88, "annotations": []}
{"role": "volunteer", "content": "Like I'll give an example", "session_id": 5564, "sequence_id": 89, "annotations": []}
{"role": "volunteer", "content": "You've probably been differentiating functions like y = 2x + 1 or y = 6x^5 + 4x. Those functions are explicit because they clearly mention what y is equal to", "session_id": 5564, "sequence_id": 90, "annotations": []}
{"role": "volunteer", "content": "Implicit functions mean y can be differentiated by, but it is not fully stated", "session_id": 5564, "sequence_id": 91, "annotations": []}
{"role": "volunteer", "content": "Like x^2 + y^2 = 1", "session_id": 5564, "sequence_id": 92, "annotations": []}
{"role": "volunteer", "content": "y is mentioned, but it isn't put into the form y = ...", "session_id": 5564, "sequence_id": 93, "annotations": []}
{"role": "volunteer", "content": "And sure, you could do some algaberic maniputlation to make it y = but it takes time", "session_id": 5564, "sequence_id": 94, "annotations": []}
{"role": "volunteer", "content": "So that's why you do implicit differentiation for that", "session_id": 5564, "sequence_id": 95, "annotations": []}
{"role": "student", "content": "but if you did do that manipulation what would you get versus if you did the differntiation", "session_id": 5564, "sequence_id": 96, "annotations": []}
{"role": "volunteer", "content": "I believe it would be the same derivative for the answer", "session_id": 5564, "sequence_id": 97, "annotations": []}
{"role": "volunteer", "content": "But maybe it's a different form", "session_id": 5564, "sequence_id": 98, "annotations": []}
{"role": "volunteer", "content": "But the only downside to doing that is that it takes time and a lot of effort", "session_id": 5564, "sequence_id": 99, "annotations": []}
{"role": "volunteer", "content": "Implicit differentiation is the best method to use to approach such problems", "session_id": 5564, "sequence_id": 100, "annotations": []}
{"role": "volunteer", "content": "Does that make sense?", "session_id": 5564, "sequence_id": 101, "annotations": []}
{"role": "student", "content": "yes", "session_id": 5564, "sequence_id": 102, "annotations": []}
{"role": "student", "content": "can I post a probelm", "session_id": 5564, "sequence_id": 103, "annotations": []}
{"role": "volunteer", "content": "Unfortunately I have to go now", "session_id": 5564, "sequence_id": 104, "annotations": []}
{"role": "volunteer", "content": "You can ask another coach for assistance though", "session_id": 5564, "sequence_id": 105, "annotations": []}
{"role": "volunteer", "content": "Sorry about that", "session_id": 5564, "sequence_id": 106, "annotations": []}
{"role": "student", "content": "no worries have a good one", "session_id": 5564, "sequence_id": 107, "annotations": []}
{"role": "volunteer", "content": "You too", "session_id": 5564, "sequence_id": 108, "annotations": []}
{"role": "volunteer", "content": "Hello how is it going", "session_id": 5544, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "What can I help you with today", "session_id": 5544, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "Also give me like one min I need to do something real quick", "session_id": 5544, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "Hello!", "session_id": 5544, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "i really need some help practicing chain rule", "session_id": 5544, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "Great! I can help with that", "session_id": 5544, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "Do we begin with the first question?", "session_id": 5544, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "yea let me start", "session_id": 5544, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "im gonna try doing this on paper cause its alot of writing", "session_id": 5544, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "Alright", "session_id": 5544, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "Do I just check your work then?", "session_id": 5544, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "?", "session_id": 5544, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "Are you there?", "session_id": 5544, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "yea im sorry i had to get paper", "session_id": 5544, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "No worries", "session_id": 5544, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "and yes", "session_id": 5544, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "Okay cool", "session_id": 5544, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "1a is correct :)", "session_id": 5544, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "1b?", "session_id": 5544, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "1b is incorrect", "session_id": 5544, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "how so", "session_id": 5544, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "There's an easier way to apply the chain rule", "session_id": 5544, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "oh wait", "session_id": 5544, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "Yes?", "session_id": 5544, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "there", "session_id": 5544, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "That still isn't correct but let me just double check", "session_id": 5544, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "thats weird the answer key says its right", "session_id": 5544, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "Nevermind you're right", "session_id": 5544, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "I'm using the unsimplified version", "session_id": 5544, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "ohh yea", "session_id": 5544, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "i flipped it back", "session_id": 5544, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "I was thinking you could just write it as (t^2+3t-1)^-1", "session_id": 5544, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "And use the chain rule from there", "session_id": 5544, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "yea thats what i did", "session_id": 5544, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "Cool :)", "session_id": 5544, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "and then i just flipped it back", "session_id": 5544, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "to simplify", "session_id": 5544, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "Just remember that you don't need to simplify for the AP exam :)", "session_id": 5544, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "right", "session_id": 5544, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "im gonna do the next one", "session_id": 5544, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "Alright", "session_id": 5544, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "how is that", "session_id": 5544, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "One sec let me check", "session_id": 5544, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "You're missing a negative", "session_id": 5544, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "You carried over 2 instead of -2", "session_id": 5544, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "oh yea woops", "session_id": 5544, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": ":)", "session_id": 5544, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "now ill do d", "session_id": 5544, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "Sounds good", "session_id": 5544, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "would csc^3 count as 2 functions", "session_id": 5544, "sequence_id": 49, "annotations": []}
{"role": "student", "content": "x^3 and csc", "session_id": 5544, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "csc^3(x) is not equal to csc x^3", "session_id": 5544, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "Just to clarify", "session_id": 5544, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "csc^3(x) means (cscx)^3", "session_id": 5544, "sequence_id": 53, "annotations": []}
{"role": "student", "content": "yeaa", "session_id": 5544, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "In this case it would be that", "session_id": 5544, "sequence_id": 55, "annotations": []}
{"role": "student", "content": "so its like csc is inside of x^3", "session_id": 5544, "sequence_id": 56, "annotations": []}
{"role": "student", "content": "thats what i meant", "session_id": 5544, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "Yeah it is]", "session_id": 5544, "sequence_id": 58, "annotations": []}
{"role": "student", "content": "ok got it", "session_id": 5544, "sequence_id": 59, "annotations": []}
{"role": "student", "content": "this one is very long i think", "session_id": 5544, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "Yeah...", "session_id": 5544, "sequence_id": 61, "annotations": []}
{"role": "student", "content": "i think thats good?", "session_id": 5544, "sequence_id": 62, "annotations": []}
{"role": "student", "content": "or wait i dont think its csc x and cot x", "session_id": 5544, "sequence_id": 63, "annotations": []}
{"role": "student", "content": "cause isnt x technically 3x/2", "session_id": 5544, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "Let me check", "session_id": 5544, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "It might be a minute one sec", "session_id": 5544, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "I think that is correct yes", "session_id": 5544, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "Should be csc(3x/2) * cot(3x/2) though", "session_id": 5544, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "For that one part", "session_id": 5544, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "-csc", "session_id": 5544, "sequence_id": 70, "annotations": []}
{"role": "student", "content": "yea i agree", "session_id": 5544, "sequence_id": 71, "annotations": []}
{"role": "student", "content": "yea its right nice", "session_id": 5544, "sequence_id": 72, "annotations": []}
{"role": "student", "content": "ill do e now", "session_id": 5544, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "Cool :)", "session_id": 5544, "sequence_id": 74, "annotations": []}
{"role": "student", "content": "this one is rhe same thing", "session_id": 5544, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "Yep", "session_id": 5544, "sequence_id": 76, "annotations": []}
{"role": "student", "content": "just sec", "session_id": 5544, "sequence_id": 77, "annotations": []}
{"role": "student", "content": "done", "session_id": 5544, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "Let me check", "session_id": 5544, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "Yep that's correct", "session_id": 5544, "sequence_id": 80, "annotations": []}
{"role": "student", "content": "nice", "session_id": 5544, "sequence_id": 81, "annotations": []}
{"role": "student", "content": "how is f", "session_id": 5544, "sequence_id": 82, "annotations": []}
{"role": "volunteer", "content": "Let me check", "session_id": 5544, "sequence_id": 83, "annotations": []}
{"role": "volunteer", "content": "Wow that's long...", "session_id": 5544, "sequence_id": 84, "annotations": []}
{"role": "volunteer", "content": "I'm just going to type my answer", "session_id": 5544, "sequence_id": 85, "annotations": []}
{"role": "volunteer", "content": "cos(x^1/3) * (1/3 * x^-2/3) + (1/3 * (sin x)^-2/3) * (cos x)", "session_id": 5544, "sequence_id": 86, "annotations": []}
{"role": "student", "content": "looks the same", "session_id": 5544, "sequence_id": 87, "annotations": []}
{"role": "student", "content": "oh wait", "session_id": 5544, "sequence_id": 88, "annotations": []}
{"role": "student", "content": "i forgot to bring down my 1/3s", "session_id": 5544, "sequence_id": 89, "annotations": []}
{"role": "volunteer", "content": "Yep thats what I noticed too", "session_id": 5544, "sequence_id": 90, "annotations": []}
{"role": "volunteer", "content": "Good catch", "session_id": 5544, "sequence_id": 91, "annotations": []}
{"role": "student", "content": "i think i just do it in my head so quick i just overlook it", "session_id": 5544, "sequence_id": 92, "annotations": []}
{"role": "volunteer", "content": "Yep", "session_id": 5544, "sequence_id": 93, "annotations": []}
{"role": "volunteer", "content": "Makes sense", "session_id": 5544, "sequence_id": 94, "annotations": []}
{"role": "volunteer", "content": "Next question?", "session_id": 5544, "sequence_id": 95, "annotations": []}
{"role": "student", "content": "yea sorry starting it now", "session_id": 5544, "sequence_id": 96, "annotations": []}
{"role": "volunteer", "content": "No worries", "session_id": 5544, "sequence_id": 97, "annotations": []}
{"role": "student", "content": "do i use product rule here?", "session_id": 5544, "sequence_id": 98, "annotations": []}
{"role": "volunteer", "content": "Yep", "session_id": 5544, "sequence_id": 99, "annotations": []}
{"role": "student", "content": "got it", "session_id": 5544, "sequence_id": 100, "annotations": []}
{"role": "volunteer", "content": "I'll write my answer once you're done", "session_id": 5544, "sequence_id": 101, "annotations": []}
{"role": "student", "content": "there", "session_id": 5544, "sequence_id": 102, "annotations": []}
{"role": "volunteer", "content": "(x^2)(sec^2(1/x))(-x^-2)+(2x)(tan(1/x))", "session_id": 5544, "sequence_id": 103, "annotations": []}
{"role": "volunteer", "content": "This is what i got", "session_id": 5544, "sequence_id": 104, "annotations": []}
{"role": "student", "content": "yea got the same thing", "session_id": 5544, "sequence_id": 105, "annotations": []}
{"role": "student", "content": "is this also power rule", "session_id": 5544, "sequence_id": 106, "annotations": []}
{"role": "volunteer", "content": "You mean product rule?", "session_id": 5544, "sequence_id": 107, "annotations": []}
{"role": "student", "content": "yea", "session_id": 5544, "sequence_id": 108, "annotations": []}
{"role": "volunteer", "content": "yep", "session_id": 5544, "sequence_id": 109, "annotations": []}
{"role": "student", "content": "i think ill skip this one looks pretty easy", "session_id": 5544, "sequence_id": 110, "annotations": []}
{"role": "student", "content": "just alot of writing", "session_id": 5544, "sequence_id": 111, "annotations": []}
{"role": "volunteer", "content": "Sounds good", "session_id": 5544, "sequence_id": 112, "annotations": []}
{"role": "student", "content": "ill do i", "session_id": 5544, "sequence_id": 113, "annotations": []}
{"role": "student", "content": "there", "session_id": 5544, "sequence_id": 114, "annotations": []}
{"role": "volunteer", "content": "I agree with the first part", "session_id": 5544, "sequence_id": 115, "annotations": []}
{"role": "volunteer", "content": "Not too sure about the other part", "session_id": 5544, "sequence_id": 116, "annotations": []}
{"role": "volunteer", "content": "Need to check further", "session_id": 5544, "sequence_id": 117, "annotations": []}
{"role": "volunteer", "content": "Nevermind", "session_id": 5544, "sequence_id": 118, "annotations": []}
{"role": "volunteer", "content": "You're correct", "session_id": 5544, "sequence_id": 119, "annotations": []}
{"role": "volunteer", "content": ":)", "session_id": 5544, "sequence_id": 120, "annotations": []}
{"role": "student", "content": "let me find some new questions", "session_id": 5544, "sequence_id": 121, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 5544, "sequence_id": 122, "annotations": []}
{"role": "volunteer", "content": "Not too sure what standard form form is", "session_id": 5544, "sequence_id": 123, "annotations": []}
{"role": "student", "content": "its this", "session_id": 5544, "sequence_id": 124, "annotations": []}
{"role": "volunteer", "content": "Isn't that point-slope form", "session_id": 5544, "sequence_id": 125, "annotations": []}
{"role": "student", "content": "kind of but a little different", "session_id": 5544, "sequence_id": 126, "annotations": []}
{"role": "volunteer", "content": "I see", "session_id": 5544, "sequence_id": 127, "annotations": []}
{"role": "volunteer", "content": "Just moving over some terms", "session_id": 5544, "sequence_id": 128, "annotations": []}
{"role": "volunteer", "content": "You just need to find the derivative of s(t) first using the chain rule", "session_id": 5544, "sequence_id": 129, "annotations": []}
{"role": "student", "content": "yea", "session_id": 5544, "sequence_id": 130, "annotations": []}
{"role": "volunteer", "content": "But first find the y-coordinate when t = 2", "session_id": 5544, "sequence_id": 131, "annotations": []}
{"role": "volunteer", "content": "That'll give us the point", "session_id": 5544, "sequence_id": 132, "annotations": []}
{"role": "student", "content": "right", "session_id": 5544, "sequence_id": 133, "annotations": []}
{"role": "student", "content": "so 4", "session_id": 5544, "sequence_id": 134, "annotations": []}
{"role": "student", "content": "is the y", "session_id": 5544, "sequence_id": 135, "annotations": []}
{"role": "volunteer", "content": "Yep", "session_id": 5544, "sequence_id": 136, "annotations": []}
{"role": "volunteer", "content": "So (2, 4) is the point", "session_id": 5544, "sequence_id": 137, "annotations": []}
{"role": "student", "content": "and now i need the slope", "session_id": 5544, "sequence_id": 138, "annotations": []}
{"role": "student", "content": "whihc is the first deriviative", "session_id": 5544, "sequence_id": 139, "annotations": []}
{"role": "volunteer", "content": "Yep so find the derivative", "session_id": 5544, "sequence_id": 140, "annotations": []}
{"role": "student", "content": "so now id plug in 2 here", "session_id": 5544, "sequence_id": 141, "annotations": []}
{"role": "volunteer", "content": "Yes", "session_id": 5544, "sequence_id": 142, "annotations": []}
{"role": "volunteer", "content": "Yep 3/4 is the slope", "session_id": 5544, "sequence_id": 143, "annotations": []}
{"role": "volunteer", "content": "So y = 4 - 3/4(x-2)", "session_id": 5544, "sequence_id": 144, "annotations": []}
{"role": "volunteer", "content": "Oh is it 2-x", "session_id": 5544, "sequence_id": 145, "annotations": []}
{"role": "student", "content": "no sorry x-2", "session_id": 5544, "sequence_id": 146, "annotations": []}
{"role": "volunteer", "content": "Still learning this new form", "session_id": 5544, "sequence_id": 147, "annotations": []}
{"role": "volunteer", "content": "Oh okay", "session_id": 5544, "sequence_id": 148, "annotations": []}
{"role": "student", "content": "it already gives us the point", "session_id": 5544, "sequence_id": 149, "annotations": []}
{"role": "volunteer", "content": "For b?", "session_id": 5544, "sequence_id": 150, "annotations": []}
{"role": "student", "content": "yea", "session_id": 5544, "sequence_id": 151, "annotations": []}
{"role": "volunteer", "content": "Yep", "session_id": 5544, "sequence_id": 152, "annotations": []}
{"role": "student", "content": "(0, -2)", "session_id": 5544, "sequence_id": 153, "annotations": []}
{"role": "volunteer", "content": "Just the same process as a", "session_id": 5544, "sequence_id": 154, "annotations": []}
{"role": "student", "content": "so product rule here", "session_id": 5544, "sequence_id": 155, "annotations": []}
{"role": "volunteer", "content": "Yes", "session_id": 5544, "sequence_id": 156, "annotations": []}
{"role": "student", "content": "so", "session_id": 5544, "sequence_id": 157, "annotations": []}
{"role": "student", "content": "im getting", "session_id": 5544, "sequence_id": 158, "annotations": []}
{"role": "student", "content": "2 + -3", "session_id": 5544, "sequence_id": 159, "annotations": []}
{"role": "student", "content": "so -1?", "session_id": 5544, "sequence_id": 160, "annotations": []}
{"role": "volunteer", "content": "Yep", "session_id": 5544, "sequence_id": 161, "annotations": []}
{"role": "volunteer", "content": "Wait", "session_id": 5544, "sequence_id": 162, "annotations": []}
{"role": "volunteer", "content": "Let me check", "session_id": 5544, "sequence_id": 163, "annotations": []}
{"role": "student", "content": "got it", "session_id": 5544, "sequence_id": 164, "annotations": []}
{"role": "volunteer", "content": "?Wouldn't it be -2 + 3?", "session_id": 5544, "sequence_id": 165, "annotations": []}
{"role": "student", "content": "i dont think so", "session_id": 5544, "sequence_id": 166, "annotations": []}
{"role": "student", "content": "how", "session_id": 5544, "sequence_id": 167, "annotations": []}
{"role": "student", "content": "wait", "session_id": 5544, "sequence_id": 168, "annotations": []}
{"role": "student", "content": "oh yea", "session_id": 5544, "sequence_id": 169, "annotations": []}
{"role": "volunteer", "content": "yup", "session_id": 5544, "sequence_id": 170, "annotations": []}
{"role": "student", "content": "it would be -2+-3", "session_id": 5544, "sequence_id": 171, "annotations": []}
{"role": "student", "content": "so -5", "session_id": 5544, "sequence_id": 172, "annotations": []}
{"role": "student", "content": "since the right side is 3(-1", "session_id": 5544, "sequence_id": 173, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 5544, "sequence_id": 174, "annotations": []}
{"role": "student", "content": "alright im gonna star 3", "session_id": 5544, "sequence_id": 175, "annotations": []}
{"role": "student", "content": "start", "session_id": 5544, "sequence_id": 176, "annotations": []}
{"role": "volunteer", "content": "Sounds good", "session_id": 5544, "sequence_id": 177, "annotations": []}
{"role": "student", "content": "what do i do from here again", "session_id": 5544, "sequence_id": 178, "annotations": []}
{"role": "student", "content": "?", "session_id": 5544, "sequence_id": 179, "annotations": []}
{"role": "student", "content": "are you there?", "session_id": 5544, "sequence_id": 180, "annotations": []}
{"role": "volunteer", "content": "hello", "session_id": 5598, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "Hey Maria :)", "session_id": 5598, "sequence_id": 1, "annotations": [{"pii_type": "PERSON", "surrogate": "Maria", "start": 4, "end": 9}]}
{"role": "student", "content": "I'm needing help on a question, I'll write it on the board", "session_id": 5598, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "You should rewrite the left side so that the base is 3 instead of  1/3", "session_id": 5598, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "I'm not sure how to solve it. The question asked to use the like-bases property", "session_id": 5598, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "wait, isn't the whole expresssion x+6 the exponent?", "session_id": 5598, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "that's all ive been able to get down to so far", "session_id": 5598, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "yes", "session_id": 5598, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "Yes, now you can go ahead and solve it.", "session_id": 5598, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "im not sure how to", "session_id": 5598, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "could u give me steps, i'll do them on the board", "session_id": 5598, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "if the bases on the two sides are the same, you just set the exponents equal to each other", "session_id": 5598, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "like that?", "session_id": 5598, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "wait, why did you change the sign on the 6?", "session_id": 5598, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "bcz the original function was +6", "session_id": 5598, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "was it supposed to change to a negative?", "session_id": 5598, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "Yes, but then you are using a negative exponent", "session_id": 5598, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "so was it supposed to stay a negative or is it alright", "session_id": 5598, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "alr, i see", "session_id": 5598, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "You still have the wrong sign on 6", "session_id": 5598, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "when you distribute the - sign into the parentheses it makes the 6 negative", "session_id": 5598, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "is 9/2 correct?", "session_id": 5598, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "no", "session_id": 5598, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "where'd i go wrong", "session_id": 5598, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "You need to divide both sides by 9 to get the x by itself", "session_id": 5598, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "Sry, I dont know why divided by 2 instead", "session_id": 5598, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "thats all i had to answer", "session_id": 5598, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "thank you", "session_id": 5598, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "I apreciate it,", "session_id": 5598, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "You are very welcome", "session_id": 5598, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "have a great rest of ur day, bye :)", "session_id": 5598, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "Have a Happy Thanksgiving", "session_id": 5598, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "bye", "session_id": 5598, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "heyy", "session_id": 5664, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "Hello!", "session_id": 5664, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "how you doing", "session_id": 5664, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "Not good", "session_id": 5664, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "whyy", "session_id": 5664, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "my homework", "session_id": 5664, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "oh i see lol", "session_id": 5664, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "thats fine this isnt that hard i know", "session_id": 5664, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "so wait first thing are you allowed to use calculators?", "session_id": 5664, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 5664, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "Graphing ones", "session_id": 5664, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "But I don\u2019t have it on me", "session_id": 5664, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "ChatGPT can\u2019t solve this unfortunately", "session_id": 5664, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "ok i think you prob arent allowed to use a graphing calculator but if you ever needed to you can use desmos", "session_id": 5664, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "but i can help you with how to solve this", "session_id": 5664, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "ok so first we always a x intercept and y intercept", "session_id": 5664, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "so", "session_id": 5664, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "so this should be your first graph", "session_id": 5664, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "This is a bit hard to copy", "session_id": 5664, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "you can ofc try to plug in -1 0 and 1 to get other points", "session_id": 5664, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "Can I get the coordinates", "session_id": 5664, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "Sorry", "session_id": 5664, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "Not coordinates", "session_id": 5664, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "yea so the y int bro is 6 and x int is -3/2", "session_id": 5664, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "?", "session_id": 5664, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "so", "session_id": 5664, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "y intercept", "session_id": 5664, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "is 6", "session_id": 5664, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "and x intercept in -3/2", "session_id": 5664, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "I\u2019m trying to graph -3/2", "session_id": 5664, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "just estimate it", "session_id": 5664, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "On my paper but it\u2019s odd", "session_id": 5664, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "but put it on the graph and say its -3/2", "session_id": 5664, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "Okay got it", "session_id": 5664, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "yea", "session_id": 5664, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "Okay second graph", "session_id": 5664, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "this looks right", "session_id": 5664, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "but", "session_id": 5664, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "Like what I wrote already?", "session_id": 5664, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "if you want you can make it more clear by showing the intercepts", "session_id": 5664, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "yea", "session_id": 5664, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "that graph looks right but", "session_id": 5664, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "the y intercept looks wrong", "session_id": 5664, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "Shucks", "session_id": 5664, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "mhm so y intercept should be -7.5", "session_id": 5664, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "and x intercept is 16", "session_id": 5664, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "it would be smt like that", "session_id": 5664, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "Okay hold on", "session_id": 5664, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "yea take your time", "session_id": 5664, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "Okay I\u2019m done with her", "session_id": 5664, "sequence_id": 49, "annotations": []}
{"role": "student", "content": "It", "session_id": 5664, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "ok so next one?", "session_id": 5664, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "Yes please", "session_id": 5664, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "so again we just need to find the x and y intercepts", "session_id": 5664, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "so that what it looks like", "session_id": 5664, "sequence_id": 54, "annotations": []}
{"role": "student", "content": "Okay done", "session_id": 5664, "sequence_id": 55, "annotations": []}
{"role": "student", "content": "Next one please", "session_id": 5664, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "ok sure", "session_id": 5664, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "youre right for this one", "session_id": 5664, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "just one thing tho", "session_id": 5664, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "you need to label the x and y intercepts", "session_id": 5664, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "and that should make it perfect", "session_id": 5664, "sequence_id": 61, "annotations": []}
{"role": "student", "content": "Yippe", "session_id": 5664, "sequence_id": 62, "annotations": []}
{"role": "student", "content": "math for sure", "session_id": 5664, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "well i hope so lol", "session_id": 5664, "sequence_id": 64, "annotations": []}
{"role": "student", "content": "Okay great", "session_id": 5664, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "i know these graphs are correct", "session_id": 5664, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "but it all depends on how your teacher decides to mark", "session_id": 5664, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "if you want to make it better", "session_id": 5664, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "you can pick a few points for each graph and plot those", "session_id": 5664, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "to make it more accurate", "session_id": 5664, "sequence_id": 70, "annotations": []}
{"role": "student", "content": "Nah I think it\u2019s okay he just looks at it and if it\u2019s done then u did it", "session_id": 5664, "sequence_id": 71, "annotations": []}
{"role": "student", "content": "That\u2019s all", "session_id": 5664, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "ok great then", "session_id": 5664, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "this is pretty accurate", "session_id": 5664, "sequence_id": 74, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 5664, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "any more questions", "session_id": 5664, "sequence_id": 76, "annotations": []}
{"role": "student", "content": "No there is a back side to this but I literally would feel bad holding u up", "session_id": 5664, "sequence_id": 77, "annotations": []}
{"role": "student", "content": "So I shall figure it out on my own", "session_id": 5664, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "i mean if you really do need help i can help you with it", "session_id": 5664, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "i am free right now anyways", "session_id": 5664, "sequence_id": 80, "annotations": []}
{"role": "student", "content": "I mean u can work on whatever u want", "session_id": 5664, "sequence_id": 81, "annotations": []}
{"role": "student", "content": "I can show u", "session_id": 5664, "sequence_id": 82, "annotations": []}
{"role": "volunteer", "content": "ok sure", "session_id": 5664, "sequence_id": 83, "annotations": []}
{"role": "student", "content": "Do u mind if I delete this photo?", "session_id": 5664, "sequence_id": 84, "annotations": []}
{"role": "volunteer", "content": "go ahead", "session_id": 5664, "sequence_id": 85, "annotations": []}
{"role": "volunteer", "content": "is there anything specific you want me to do or should i go thru all of them", "session_id": 5664, "sequence_id": 86, "annotations": []}
{"role": "student", "content": "Uh maybe thru all?", "session_id": 5664, "sequence_id": 87, "annotations": []}
{"role": "student", "content": "If that\u2019s ao", "session_id": 5664, "sequence_id": 88, "annotations": []}
{"role": "volunteer", "content": "sure lol", "session_id": 5664, "sequence_id": 89, "annotations": []}
{"role": "student", "content": "okay", "session_id": 5664, "sequence_id": 90, "annotations": []}
{"role": "volunteer", "content": "give me a min i need to go grab smt", "session_id": 5664, "sequence_id": 91, "annotations": []}
{"role": "student", "content": "Yep ofc", "session_id": 5664, "sequence_id": 92, "annotations": []}
{"role": "volunteer", "content": "ok back", "session_id": 5664, "sequence_id": 93, "annotations": []}
{"role": "volunteer", "content": "wait i think i made a mistake for graph 2", "session_id": 5664, "sequence_id": 94, "annotations": []}
{"role": "student", "content": "It\u2019s fine", "session_id": 5664, "sequence_id": 95, "annotations": []}
{"role": "volunteer", "content": "that should be it", "session_id": 5664, "sequence_id": 96, "annotations": []}
{"role": "student", "content": "Uno", "session_id": 5664, "sequence_id": 97, "annotations": []}
{"role": "student", "content": "One second", "session_id": 5664, "sequence_id": 98, "annotations": []}
{"role": "volunteer", "content": "yea take your time i need my voleenter hours lol", "session_id": 5664, "sequence_id": 99, "annotations": []}
{"role": "student", "content": "Okay I\u2019m done!", "session_id": 5664, "sequence_id": 100, "annotations": []}
{"role": "volunteer", "content": "ok nicee", "session_id": 5664, "sequence_id": 101, "annotations": []}
{"role": "volunteer", "content": "is this it", "session_id": 5664, "sequence_id": 102, "annotations": []}
{"role": "student", "content": "Yup", "session_id": 5664, "sequence_id": 103, "annotations": []}
{"role": "student", "content": "One question", "session_id": 5664, "sequence_id": 104, "annotations": []}
{"role": "volunteer", "content": "yea go on", "session_id": 5664, "sequence_id": 105, "annotations": []}
{"role": "student", "content": "Per chance do u have any pets on adopt me?", "session_id": 5664, "sequence_id": 106, "annotations": []}
{"role": "volunteer", "content": "LOL i do have a dog", "session_id": 5664, "sequence_id": 107, "annotations": []}
{"role": "volunteer", "content": "why do you need me to adpot", "session_id": 5664, "sequence_id": 108, "annotations": []}
{"role": "volunteer", "content": "you", "session_id": 5664, "sequence_id": 109, "annotations": []}
{"role": "student", "content": "Shucks man", "session_id": 5664, "sequence_id": 110, "annotations": []}
{"role": "volunteer", "content": "mhm", "session_id": 5664, "sequence_id": 111, "annotations": []}
{"role": "student", "content": "No no", "session_id": 5664, "sequence_id": 112, "annotations": []}
{"role": "student", "content": "I have a lovely family", "session_id": 5664, "sequence_id": 113, "annotations": []}
{"role": "volunteer", "content": "oh thats good to hear i thought smt else", "session_id": 5664, "sequence_id": 114, "annotations": []}
{"role": "student", "content": "Do u know what I\u2019m talking abt?", "session_id": 5664, "sequence_id": 115, "annotations": []}
{"role": "volunteer", "content": "not really", "session_id": 5664, "sequence_id": 116, "annotations": []}
{"role": "student", "content": "\ud83d\udc94", "session_id": 5664, "sequence_id": 117, "annotations": []}
{"role": "volunteer", "content": "lol sorry", "session_id": 5664, "sequence_id": 118, "annotations": []}
{"role": "student", "content": "Tisk tisk", "session_id": 5664, "sequence_id": 119, "annotations": []}
{"role": "student", "content": "How old are you anyway", "session_id": 5664, "sequence_id": 120, "annotations": []}
{"role": "volunteer", "content": "im so confused", "session_id": 5664, "sequence_id": 121, "annotations": []}
{"role": "volunteer", "content": "i am basically an unc atp i am 21", "session_id": 5664, "sequence_id": 122, "annotations": [{"pii_type": "AGE", "surrogate": "21", "start": 31, "end": 33}]}
{"role": "student", "content": "Ur just unc", "session_id": 5664, "sequence_id": 123, "annotations": []}
{"role": "student", "content": "YO", "session_id": 5664, "sequence_id": 124, "annotations": []}
{"role": "volunteer", "content": "lool", "session_id": 5664, "sequence_id": 125, "annotations": []}
{"role": "student", "content": "Sorry", "session_id": 5664, "sequence_id": 126, "annotations": []}
{"role": "volunteer", "content": "haha", "session_id": 5664, "sequence_id": 127, "annotations": []}
{"role": "volunteer", "content": "its not that bad", "session_id": 5664, "sequence_id": 128, "annotations": []}
{"role": "student", "content": "Okay that\u2019s all", "session_id": 5664, "sequence_id": 129, "annotations": []}
{"role": "student", "content": "Thank you for ur time", "session_id": 5664, "sequence_id": 130, "annotations": []}
{"role": "volunteer", "content": "David have a great night", "session_id": 5664, "sequence_id": 131, "annotations": [{"pii_type": "PERSON", "surrogate": "David", "start": 0, "end": 5}]}
{"role": "student", "content": "Enjoy ur night or day", "session_id": 5664, "sequence_id": 132, "annotations": []}
{"role": "volunteer", "content": "you as well", "session_id": 5664, "sequence_id": 133, "annotations": []}
{"role": "student", "content": "Wherever you are", "session_id": 5664, "sequence_id": 134, "annotations": []}
{"role": "volunteer", "content": "hi", "session_id": 5719, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "Jamie", "session_id": 5719, "sequence_id": 1, "annotations": [{"pii_type": "PERSON", "surrogate": "Jamie", "start": 0, "end": 5}]}
{"role": "volunteer", "content": "how are you?", "session_id": 5719, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "good but i was trying to put sumthing on the board and it erased ittttttttt >:(", "session_id": 5719, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "bummer", "session_id": 5719, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "can you try again?", "session_id": 5719, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "yea", "session_id": 5719, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "ok I see a couple of ovals", "session_id": 5719, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "yea it might not be perfect but i tried I_I", "session_id": 5719, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "hey that looks good", "session_id": 5719, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "it's a cylinder right?", "session_id": 5719, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "yea i think I_I", "session_id": 5719, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "you know there is an upload photo button", "session_id": 5719, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "if that is easier", "session_id": 5719, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "but I like your drawing", "session_id": 5719, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "yea but its in my math book and it would prob be rlly bad quality lol", "session_id": 5719, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 5719, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "are you trying to find the volume or surface area?", "session_id": 5719, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "i have to find both I_I", "session_id": 5719, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "ah ok", "session_id": 5719, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "what dimensions do they give you?", "session_id": 5719, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "wdym the numbers?", "session_id": 5719, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 5719, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "im putting them", "session_id": 5719, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "great", "session_id": 5719, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "thanks", "session_id": 5719, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "alr", "session_id": 5719, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "nice work!", "session_id": 5719, "sequence_id": 27, "annotations": []}
{"role": "student", "content": ":)", "session_id": 5719, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "is 5cm the diameter or radius?", "session_id": 5719, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "can u see my arrow I_I", "session_id": 5719, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "or what looks to be an arrow", "session_id": 5719, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 5719, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "so it's probably the diameter of the circle right?", "session_id": 5719, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "i think?", "session_id": 5719, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "honestly i dont even know I_I", "session_id": 5719, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "like it goes all the way across", "session_id": 5719, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "yea it does", "session_id": 5719, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "ok cool", "session_id": 5719, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "so first we have to find the area of the base of the cylinder (the circle)", "session_id": 5719, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "oki", "session_id": 5719, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "do you know the formula for the area of a circle?", "session_id": 5719, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "no", "session_id": 5719, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "ok I'll write it on the board", "session_id": 5719, "sequence_id": 43, "annotations": []}
{"role": "student", "content": "oki", "session_id": 5719, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "It's a good one to put on a cheat sheet so you will remember it", "session_id": 5719, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "ill make sure to add it to my list of formulas I_I", "session_id": 5719, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "A is the area of the circle", "session_id": 5719, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "= pi r squared", "session_id": 5719, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "oki", "session_id": 5719, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "where r is the radius of the circle", "session_id": 5719, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "so if 5cm is the diameter, the radius will be half of that", "session_id": 5719, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "how much is that?", "session_id": 5719, "sequence_id": 52, "annotations": []}
{"role": "student", "content": "2.5", "session_id": 5719, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "right!", "session_id": 5719, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "oops it changed colo on me", "session_id": 5719, "sequence_id": 55, "annotations": []}
{"role": "student", "content": "yea same happened to me lol", "session_id": 5719, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "but you get it right?", "session_id": 5719, "sequence_id": 57, "annotations": []}
{"role": "student", "content": "yea", "session_id": 5719, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "so now we will need a calculator", "session_id": 5719, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "do you have one?", "session_id": 5719, "sequence_id": 60, "annotations": []}
{"role": "student", "content": "yea", "session_id": 5719, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "ok put in 2.5 and then hit the squared button", "session_id": 5719, "sequence_id": 62, "annotations": []}
{"role": "student", "content": "oki", "session_id": 5719, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "it usually says x with a little 2", "session_id": 5719, "sequence_id": 64, "annotations": []}
{"role": "student", "content": "oki", "session_id": 5719, "sequence_id": 65, "annotations": []}
{"role": "student", "content": "i got 6.25", "session_id": 5719, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "right! that's it", "session_id": 5719, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "so now we multiply that by pi", "session_id": 5719, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "now pi is about 3.14 but it's also in the calculator", "session_id": 5719, "sequence_id": 69, "annotations": []}
{"role": "student", "content": "oki", "session_id": 5719, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "let me know what you get", "session_id": 5719, "sequence_id": 71, "annotations": []}
{"role": "student", "content": "19.634 so on", "session_id": 5719, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "exactly", "session_id": 5719, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "good job", "session_id": 5719, "sequence_id": 74, "annotations": []}
{"role": "volunteer", "content": "does the question say anything about rounding the answer", "session_id": 5719, "sequence_id": 75, "annotations": []}
{"role": "student", "content": "no it doesnt", "session_id": 5719, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "hhm", "session_id": 5719, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "then let's round to 2 decimal places", "session_id": 5719, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "do you know how to do that?", "session_id": 5719, "sequence_id": 79, "annotations": []}
{"role": "student", "content": "oki", "session_id": 5719, "sequence_id": 80, "annotations": []}
{"role": "student", "content": "yea i think", "session_id": 5719, "sequence_id": 81, "annotations": []}
{"role": "volunteer", "content": "ok take the 2nd number after the decimal place", "session_id": 5719, "sequence_id": 82, "annotations": []}
{"role": "student", "content": "so 3", "session_id": 5719, "sequence_id": 83, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 5719, "sequence_id": 84, "annotations": []}
{"role": "volunteer", "content": "and to figure out if we round up to 4 or just leave it as 3", "session_id": 5719, "sequence_id": 85, "annotations": []}
{"role": "volunteer", "content": "we look at the next number which is 4 right?", "session_id": 5719, "sequence_id": 86, "annotations": []}
{"role": "student", "content": "yes", "session_id": 5719, "sequence_id": 87, "annotations": []}
{"role": "volunteer", "content": "is 4 greater than or less than 5 ?", "session_id": 5719, "sequence_id": 88, "annotations": []}
{"role": "student", "content": "no less than", "session_id": 5719, "sequence_id": 89, "annotations": []}
{"role": "volunteer", "content": "right! so we round down", "session_id": 5719, "sequence_id": 90, "annotations": []}
{"role": "volunteer", "content": "which means just leave the number as a 3", "session_id": 5719, "sequence_id": 91, "annotations": []}
{"role": "student", "content": "oki", "session_id": 5719, "sequence_id": 92, "annotations": []}
{"role": "volunteer", "content": "so what will be your answer", "session_id": 5719, "sequence_id": 93, "annotations": []}
{"role": "student", "content": "19.63", "session_id": 5719, "sequence_id": 94, "annotations": []}
{"role": "volunteer", "content": "you got it!", "session_id": 5719, "sequence_id": 95, "annotations": []}
{"role": "volunteer", "content": "that is the area of the circle remember", "session_id": 5719, "sequence_id": 96, "annotations": []}
{"role": "student", "content": "oki :)", "session_id": 5719, "sequence_id": 97, "annotations": []}
{"role": "volunteer", "content": "for the volume we need to multiply by something", "session_id": 5719, "sequence_id": 98, "annotations": []}
{"role": "volunteer", "content": "what do you think we multiply by?", "session_id": 5719, "sequence_id": 99, "annotations": []}
{"role": "student", "content": "do we multiply the 19.63 and the 7?", "session_id": 5719, "sequence_id": 100, "annotations": []}
{"role": "volunteer", "content": "yes! that's it", "session_id": 5719, "sequence_id": 101, "annotations": []}
{"role": "volunteer", "content": "because 7 is the height", "session_id": 5719, "sequence_id": 102, "annotations": []}
{"role": "student", "content": "oki", "session_id": 5719, "sequence_id": 103, "annotations": []}
{"role": "volunteer", "content": "tell me what you get", "session_id": 5719, "sequence_id": 104, "annotations": []}
{"role": "student", "content": "137.41", "session_id": 5719, "sequence_id": 105, "annotations": []}
{"role": "volunteer", "content": "ok great", "session_id": 5719, "sequence_id": 106, "annotations": []}
{"role": "volunteer", "content": "but there is a little rounding error", "session_id": 5719, "sequence_id": 107, "annotations": []}
{"role": "student", "content": "oh i didnt round lol", "session_id": 5719, "sequence_id": 108, "annotations": []}
{"role": "volunteer", "content": "well you rounded the 19.63 remember?", "session_id": 5719, "sequence_id": 109, "annotations": []}
{"role": "student", "content": "yea lol i forgot", "session_id": 5719, "sequence_id": 110, "annotations": []}
{"role": "volunteer", "content": "we probably should have left it as 19.634.....,..", "session_id": 5719, "sequence_id": 111, "annotations": []}
{"role": "volunteer", "content": "and then rounded just at the end", "session_id": 5719, "sequence_id": 112, "annotations": []}
{"role": "volunteer", "content": "can you try that?", "session_id": 5719, "sequence_id": 113, "annotations": []}
{"role": "student", "content": "sure", "session_id": 5719, "sequence_id": 114, "annotations": []}
{"role": "volunteer", "content": "just leave the 19.634... as a big long number", "session_id": 5719, "sequence_id": 115, "annotations": []}
{"role": "volunteer", "content": "and multiply by 7", "session_id": 5719, "sequence_id": 116, "annotations": []}
{"role": "student", "content": "137.438", "session_id": 5719, "sequence_id": 117, "annotations": []}
{"role": "volunteer", "content": "hhm", "session_id": 5719, "sequence_id": 118, "annotations": []}
{"role": "volunteer", "content": "I got 137.445", "session_id": 5719, "sequence_id": 119, "annotations": []}
{"role": "volunteer", "content": "did you do the 6.25 x pi again?", "session_id": 5719, "sequence_id": 120, "annotations": []}
{"role": "student", "content": "wait lemme try again", "session_id": 5719, "sequence_id": 121, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 5719, "sequence_id": 122, "annotations": []}
{"role": "student", "content": "yea i got 137.438", "session_id": 5719, "sequence_id": 123, "annotations": []}
{"role": "volunteer", "content": "that's weird", "session_id": 5719, "sequence_id": 124, "annotations": []}
{"role": "volunteer", "content": "it's close to mine but not exact", "session_id": 5719, "sequence_id": 125, "annotations": []}
{"role": "student", "content": "dats suspisious I_I", "session_id": 5719, "sequence_id": 126, "annotations": []}
{"role": "volunteer", "content": "yeah, maybe we have different calculators", "session_id": 5719, "sequence_id": 127, "annotations": []}
{"role": "student", "content": "idk im using desmos", "session_id": 5719, "sequence_id": 128, "annotations": []}
{"role": "volunteer", "content": "ah ok, I'm just using my phone", "session_id": 5719, "sequence_id": 129, "annotations": []}
{"role": "volunteer", "content": "but we're pretty close", "session_id": 5719, "sequence_id": 130, "annotations": []}
{"role": "student", "content": "should i try the 3d calc instead?", "session_id": 5719, "sequence_id": 131, "annotations": []}
{"role": "volunteer", "content": "no that's ok", "session_id": 5719, "sequence_id": 132, "annotations": []}
{"role": "volunteer", "content": "you got 137.438 right?", "session_id": 5719, "sequence_id": 133, "annotations": []}
{"role": "student", "content": "well if we round it would it still be the same answer?", "session_id": 5719, "sequence_id": 134, "annotations": []}
{"role": "volunteer", "content": "yes exactly", "session_id": 5719, "sequence_id": 135, "annotations": []}
{"role": "student", "content": "oki", "session_id": 5719, "sequence_id": 136, "annotations": []}
{"role": "volunteer", "content": "to 2 decimal places what do you get?", "session_id": 5719, "sequence_id": 137, "annotations": []}
{"role": "student", "content": "yea i got 137.438", "session_id": 5719, "sequence_id": 138, "annotations": []}
{"role": "student", "content": "3", "session_id": 5719, "sequence_id": 139, "annotations": []}
{"role": "volunteer", "content": "if we go to 2 decimal places the 3 rounds to a 4", "session_id": 5719, "sequence_id": 140, "annotations": []}
{"role": "volunteer", "content": "because 8 > 5", "session_id": 5719, "sequence_id": 141, "annotations": []}
{"role": "volunteer", "content": "so it's 137.44", "session_id": 5719, "sequence_id": 142, "annotations": []}
{"role": "student", "content": "oki", "session_id": 5719, "sequence_id": 143, "annotations": []}
{"role": "volunteer", "content": "which is what I get!", "session_id": 5719, "sequence_id": 144, "annotations": []}
{"role": "volunteer", "content": "let's go with that", "session_id": 5719, "sequence_id": 145, "annotations": []}
{"role": "student", "content": "maybe yours automatically rounds?", "session_id": 5719, "sequence_id": 146, "annotations": []}
{"role": "volunteer", "content": "no mine had 137.445", "session_id": 5719, "sequence_id": 147, "annotations": []}
{"role": "student", "content": "NoPe nvm", "session_id": 5719, "sequence_id": 148, "annotations": []}
{"role": "volunteer", "content": "I rounded down to 137.44", "session_id": 5719, "sequence_id": 149, "annotations": []}
{"role": "volunteer", "content": "but we got the same in the end", "session_id": 5719, "sequence_id": 150, "annotations": []}
{"role": "student", "content": "yea", "session_id": 5719, "sequence_id": 151, "annotations": []}
{"role": "volunteer", "content": "ready to do the surface area?", "session_id": 5719, "sequence_id": 152, "annotations": []}
{"role": "student", "content": "yea", "session_id": 5719, "sequence_id": 153, "annotations": []}
{"role": "volunteer", "content": "ok cool", "session_id": 5719, "sequence_id": 154, "annotations": []}
{"role": "volunteer", "content": "so I'm guessing it's a closed cylinder with a top and a bottom?", "session_id": 5719, "sequence_id": 155, "annotations": []}
{"role": "student", "content": "yes", "session_id": 5719, "sequence_id": 156, "annotations": []}
{"role": "volunteer", "content": "ok so we will have 2 circles", "session_id": 5719, "sequence_id": 157, "annotations": []}
{"role": "volunteer", "content": "ok?", "session_id": 5719, "sequence_id": 158, "annotations": []}
{"role": "student", "content": "oki", "session_id": 5719, "sequence_id": 159, "annotations": []}
{"role": "volunteer", "content": "and each has area 19.63 right?", "session_id": 5719, "sequence_id": 160, "annotations": []}
{"role": "student", "content": "yes", "session_id": 5719, "sequence_id": 161, "annotations": []}
{"role": "volunteer", "content": "but we have to add on the area of the sides of the cylinder", "session_id": 5719, "sequence_id": 162, "annotations": []}
{"role": "student", "content": "oki", "session_id": 5719, "sequence_id": 163, "annotations": []}
{"role": "volunteer", "content": "I shaded it in green", "session_id": 5719, "sequence_id": 164, "annotations": []}
{"role": "student", "content": "ya", "session_id": 5719, "sequence_id": 165, "annotations": []}
{"role": "volunteer", "content": "ok so to find the area of that part we need to use pi again", "session_id": 5719, "sequence_id": 166, "annotations": []}
{"role": "student", "content": "alr", "session_id": 5719, "sequence_id": 167, "annotations": []}
{"role": "volunteer", "content": "but this time we want the circumference of the circle", "session_id": 5719, "sequence_id": 168, "annotations": []}
{"role": "volunteer", "content": "do you know the formula for that?", "session_id": 5719, "sequence_id": 169, "annotations": []}
{"role": "student", "content": "no", "session_id": 5719, "sequence_id": 170, "annotations": []}
{"role": "volunteer", "content": "ok this is another one to add to your list", "session_id": 5719, "sequence_id": 171, "annotations": []}
{"role": "student", "content": "Oh no WhYYYYYY", "session_id": 5719, "sequence_id": 172, "annotations": []}
{"role": "volunteer", "content": "circumference = pi x diameter", "session_id": 5719, "sequence_id": 173, "annotations": []}
{"role": "volunteer", "content": "it makes it easier to remember for you tests", "session_id": 5719, "sequence_id": 174, "annotations": []}
{"role": "student", "content": "yea I know lol", "session_id": 5719, "sequence_id": 175, "annotations": []}
{"role": "volunteer", "content": "so we know the diameter is 5 right?", "session_id": 5719, "sequence_id": 176, "annotations": []}
{"role": "student", "content": "yes", "session_id": 5719, "sequence_id": 177, "annotations": []}
{"role": "volunteer", "content": "so we multiply that by pi", "session_id": 5719, "sequence_id": 178, "annotations": []}
{"role": "volunteer", "content": "leave the answer in the calculator don't round yet", "session_id": 5719, "sequence_id": 179, "annotations": []}
{"role": "volunteer", "content": "and the area of the sides will be 7 x 5pi", "session_id": 5719, "sequence_id": 180, "annotations": []}
{"role": "student", "content": "so i did 5 x pi right? i was suppose to do dat?", "session_id": 5719, "sequence_id": 181, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 5719, "sequence_id": 182, "annotations": []}
{"role": "volunteer", "content": "and now multiply that by 7", "session_id": 5719, "sequence_id": 183, "annotations": []}
{"role": "student", "content": "oki", "session_id": 5719, "sequence_id": 184, "annotations": []}
{"role": "student", "content": "oki i got 109.955", "session_id": 5719, "sequence_id": 185, "annotations": []}
{"role": "volunteer", "content": "yes! exactly", "session_id": 5719, "sequence_id": 186, "annotations": []}
{"role": "volunteer", "content": "we got the same this time", "session_id": 5719, "sequence_id": 187, "annotations": []}
{"role": "volunteer", "content": "we add this to the 2 circles", "session_id": 5719, "sequence_id": 188, "annotations": []}
{"role": "student", "content": "oki", "session_id": 5719, "sequence_id": 189, "annotations": []}
{"role": "volunteer", "content": "to get the total area", "session_id": 5719, "sequence_id": 190, "annotations": []}
{"role": "student", "content": "so i put the whole thing in the calc?", "session_id": 5719, "sequence_id": 191, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 5719, "sequence_id": 192, "annotations": []}
{"role": "student", "content": "oki", "session_id": 5719, "sequence_id": 193, "annotations": []}
{"role": "student", "content": "35 pi or 35 x pi  ?", "session_id": 5719, "sequence_id": 194, "annotations": []}
{"role": "volunteer", "content": "35 x pi", "session_id": 5719, "sequence_id": 195, "annotations": []}
{"role": "student", "content": "oki", "session_id": 5719, "sequence_id": 196, "annotations": []}
{"role": "student", "content": "k", "session_id": 5719, "sequence_id": 197, "annotations": []}
{"role": "student", "content": "i got 149.215", "session_id": 5719, "sequence_id": 198, "annotations": []}
{"role": "volunteer", "content": "great!", "session_id": 5719, "sequence_id": 199, "annotations": []}
{"role": "volunteer", "content": "and what is that with 2 decimal places?", "session_id": 5719, "sequence_id": 200, "annotations": []}
{"role": "volunteer", "content": "what happens to the 1 ?", "session_id": 5719, "sequence_id": 201, "annotations": []}
{"role": "student", "content": "149.22", "session_id": 5719, "sequence_id": 202, "annotations": []}
{"role": "volunteer", "content": "yes!", "session_id": 5719, "sequence_id": 203, "annotations": []}
{"role": "volunteer", "content": "good job", "session_id": 5719, "sequence_id": 204, "annotations": []}
{"role": "student", "content": ":)", "session_id": 5719, "sequence_id": 205, "annotations": []}
{"role": "volunteer", "content": "you're doing great", "session_id": 5719, "sequence_id": 206, "annotations": []}
{"role": "volunteer", "content": "just try to write those formulas down so you'll remember them", "session_id": 5719, "sequence_id": 207, "annotations": []}
{"role": "student", "content": "oki", "session_id": 5719, "sequence_id": 208, "annotations": []}
{"role": "volunteer", "content": "keep up the good work!", "session_id": 5719, "sequence_id": 209, "annotations": []}
{"role": "student", "content": "yessir", "session_id": 5719, "sequence_id": 210, "annotations": []}
{"role": "volunteer", "content": "have a nice day!", "session_id": 5719, "sequence_id": 211, "annotations": []}
{"role": "student", "content": "u too bye", "session_id": 5719, "sequence_id": 212, "annotations": []}
{"role": "volunteer", "content": "thanks", "session_id": 5719, "sequence_id": 213, "annotations": []}
{"role": "volunteer", "content": "bye", "session_id": 5719, "sequence_id": 214, "annotations": []}
{"role": "volunteer", "content": "Hello Chloe, how are you?", "session_id": 5611, "sequence_id": 0, "annotations": [{"pii_type": "PERSON", "surrogate": "Chloe", "start": 6, "end": 11}]}
{"role": "volunteer", "content": "Are you there?", "session_id": 5611, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "hi", "session_id": 5611, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "its  quite laggy", "session_id": 5611, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "plz wait", "session_id": 5611, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "Okay", "session_id": 5611, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "ill upload in a few minutes", "session_id": 5611, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "its polynomial stuff", "session_id": 5611, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "Okay, take your time.", "session_id": 5611, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "thanks", "session_id": 5611, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "canvas is verry lagyy", "session_id": 5611, "sequence_id": 10, "annotations": []}
{"role": "student", "content": ";-;", "session_id": 5611, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "give me more time", "session_id": 5611, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "its alot", "session_id": 5611, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "Okay", "session_id": 5611, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "Can you not take a screenshot of it and upload it?", "session_id": 5611, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "i am", "session_id": 5611, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "but its very very laggy", "session_id": 5611, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "im tyring to collect alot of worksheet/ givens", "session_id": 5611, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "Can you not screenshot 1 problem at a time?", "session_id": 5611, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "its multiple pages", "session_id": 5611, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "and my internets also quite laggy", "session_id": 5611, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "yeah but can't you just screenshot 1 page", "session_id": 5611, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "then upload it", "session_id": 5611, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "and then when we finish it you can upload the next", "session_id": 5611, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "oki ill try to do that", "session_id": 5611, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "Chloe", "session_id": 5611, "sequence_id": 26, "annotations": [{"pii_type": "PERSON", "surrogate": "Chloe", "start": 0, "end": 5}]}
{"role": "student", "content": "to upload rn", "session_id": 5611, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "Okay", "session_id": 5611, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "Is it working?", "session_id": 5611, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "The", "session_id": 5611, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "one it's not a problem", "session_id": 5611, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "no.", "session_id": 5611, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "I", "session_id": 5611, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "is", "session_id": 5611, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "so", "session_id": 5611, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "is a", "session_id": 5611, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "for you know", "session_id": 5611, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 5611, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "5", "session_id": 5611, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "5", "session_id": 5611, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "9.", "session_id": 5611, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "I can't hear you well.", "session_id": 5611, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "So basically the first is not.", "session_id": 5611, "sequence_id": 43, "annotations": []}
{"role": "student", "content": "it's not", "session_id": 5611, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "and", "session_id": 5611, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "she's not the one. This is a um, and this is not the.", "session_id": 5611, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "So the first picture is", "session_id": 5611, "sequence_id": 47, "annotations": []}
{"role": "student", "content": "all", "session_id": 5611, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "no um", "session_id": 5611, "sequence_id": 49, "annotations": []}
{"role": "student", "content": "decrease to or.", "session_id": 5611, "sequence_id": 50, "annotations": []}
{"role": "student", "content": "what do I take", "session_id": 5611, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "bleeding therapist Dr. Evans is negative.", "session_id": 5611, "sequence_id": 52, "annotations": [{"pii_type": "PERSON", "surrogate": "Dr. Evans", "start": 19, "end": 28}]}
{"role": "student", "content": "This is a", "session_id": 5611, "sequence_id": 53, "annotations": []}
{"role": "student", "content": "anomnia", "session_id": 5611, "sequence_id": 54, "annotations": []}
{"role": "student", "content": "like", "session_id": 5611, "sequence_id": 55, "annotations": []}
{"role": "student", "content": "I like", "session_id": 5611, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "Sorry, could you type instead cause i can't hear you well.", "session_id": 5611, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "But yes you are correct on 1-5", "session_id": 5611, "sequence_id": 58, "annotations": []}
{"role": "student", "content": "it's just um", "session_id": 5611, "sequence_id": 59, "annotations": []}
{"role": "student", "content": "yeah.", "session_id": 5611, "sequence_id": 60, "annotations": []}
{"role": "student", "content": "anyone reflected", "session_id": 5611, "sequence_id": 61, "annotations": []}
{"role": "student", "content": "Let's not the letter B because I'm gonna upload a new one", "session_id": 5611, "sequence_id": 62, "annotations": []}
{"role": "student", "content": "OK", "session_id": 5611, "sequence_id": 63, "annotations": []}
{"role": "student", "content": "There's, there's a new BMC.", "session_id": 5611, "sequence_id": 64, "annotations": []}
{"role": "student", "content": "There's a good.", "session_id": 5611, "sequence_id": 65, "annotations": []}
{"role": "student", "content": "Yeah, multi", "session_id": 5611, "sequence_id": 66, "annotations": []}
{"role": "student", "content": "Yeah, still is working to for 1. There a monomial", "session_id": 5611, "sequence_id": 67, "annotations": []}
{"role": "student", "content": "Liam is 6 or", "session_id": 5611, "sequence_id": 68, "annotations": [{"pii_type": "PERSON", "surrogate": "Liam", "start": 0, "end": 4}]}
{"role": "student", "content": "or.", "session_id": 5611, "sequence_id": 69, "annotations": []}
{"role": "student", "content": "sick.", "session_id": 5611, "sequence_id": 70, "annotations": []}
{"role": "student", "content": "reading there is 10 X-rays of our 6 they publish negative.", "session_id": 5611, "sequence_id": 71, "annotations": []}
{"role": "student", "content": "Also, if you wanna hear me.", "session_id": 5611, "sequence_id": 72, "annotations": []}
{"role": "student", "content": "just uh", "session_id": 5611, "sequence_id": 73, "annotations": []}
{"role": "student", "content": "do the microphone at the side, so cause the transcription isn't that good.", "session_id": 5611, "sequence_id": 74, "annotations": []}
{"role": "student", "content": "I'm sure", "session_id": 5611, "sequence_id": 75, "annotations": []}
{"role": "student", "content": "but.", "session_id": 5611, "sequence_id": 76, "annotations": []}
{"role": "student", "content": "but", "session_id": 5611, "sequence_id": 77, "annotations": []}
{"role": "student", "content": "quite thick", "session_id": 5611, "sequence_id": 78, "annotations": []}
{"role": "student", "content": "Number 3", "session_id": 5611, "sequence_id": 79, "annotations": []}
{"role": "student", "content": "is quite thick", "session_id": 5611, "sequence_id": 80, "annotations": []}
{"role": "student", "content": "Quick", "session_id": 5611, "sequence_id": 81, "annotations": []}
{"role": "student", "content": "one", "session_id": 5611, "sequence_id": 82, "annotations": []}
{"role": "student", "content": "Mason", "session_id": 5611, "sequence_id": 83, "annotations": [{"pii_type": "PERSON", "surrogate": "Mason", "start": 0, "end": 5}]}
{"role": "student", "content": "4", "session_id": 5611, "sequence_id": 84, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 5611, "sequence_id": 85, "annotations": []}
{"role": "volunteer", "content": "i can hear you", "session_id": 5611, "sequence_id": 86, "annotations": []}
{"role": "student", "content": "uh", "session_id": 5611, "sequence_id": 87, "annotations": []}
{"role": "student", "content": "11", "session_id": 5611, "sequence_id": 88, "annotations": []}
{"role": "student", "content": "6", "session_id": 5611, "sequence_id": 89, "annotations": []}
{"role": "student", "content": "train on um", "session_id": 5611, "sequence_id": 90, "annotations": []}
{"role": "student", "content": "um", "session_id": 5611, "sequence_id": 91, "annotations": []}
{"role": "student", "content": "yeah.", "session_id": 5611, "sequence_id": 92, "annotations": []}
{"role": "student", "content": "63.", "session_id": 5611, "sequence_id": 93, "annotations": []}
{"role": "volunteer", "content": "what question are we on?", "session_id": 5611, "sequence_id": 94, "annotations": []}
{"role": "student", "content": "I don't know, monoia constant", "session_id": 5611, "sequence_id": 95, "annotations": []}
{"role": "student", "content": "degree", "session_id": 5611, "sequence_id": 96, "annotations": []}
{"role": "student", "content": "A", "session_id": 5611, "sequence_id": 97, "annotations": []}
{"role": "student", "content": "alpha", "session_id": 5611, "sequence_id": 98, "annotations": []}
{"role": "student", "content": "the left on the hill.", "session_id": 5611, "sequence_id": 99, "annotations": []}
{"role": "student", "content": "um", "session_id": 5611, "sequence_id": 100, "annotations": []}
{"role": "volunteer", "content": "can you answer the questions on the whiteboard?", "session_id": 5611, "sequence_id": 101, "annotations": []}
{"role": "student", "content": "for", "session_id": 5611, "sequence_id": 102, "annotations": []}
{"role": "student", "content": "for", "session_id": 5611, "sequence_id": 103, "annotations": []}
{"role": "student", "content": "44", "session_id": 5611, "sequence_id": 104, "annotations": []}
{"role": "student", "content": "guys", "session_id": 5611, "sequence_id": 105, "annotations": []}
{"role": "student", "content": "4", "session_id": 5611, "sequence_id": 106, "annotations": []}
{"role": "student", "content": "4 Secon", "session_id": 5611, "sequence_id": 107, "annotations": []}
{"role": "student", "content": "Secon 2", "session_id": 5611, "sequence_id": 108, "annotations": []}
{"role": "student", "content": "is", "session_id": 5611, "sequence_id": 109, "annotations": []}
{"role": "student", "content": "value is", "session_id": 5611, "sequence_id": 110, "annotations": []}
{"role": "student", "content": "55 since it's positive", "session_id": 5611, "sequence_id": 111, "annotations": []}
{"role": "volunteer", "content": "What do you need help with?", "session_id": 5611, "sequence_id": 112, "annotations": []}
{"role": "student", "content": "for", "session_id": 5611, "sequence_id": 113, "annotations": []}
{"role": "student", "content": "and I just need you to check my answer.", "session_id": 5611, "sequence_id": 114, "annotations": []}
{"role": "volunteer", "content": "are you answering it on the board?", "session_id": 5611, "sequence_id": 115, "annotations": []}
{"role": "volunteer", "content": "i cant see it", "session_id": 5611, "sequence_id": 116, "annotations": []}
{"role": "student", "content": "I", "session_id": 5611, "sequence_id": 117, "annotations": []}
{"role": "student", "content": "I", "session_id": 5611, "sequence_id": 118, "annotations": []}
{"role": "student", "content": "I", "session_id": 5611, "sequence_id": 119, "annotations": []}
{"role": "student", "content": "I", "session_id": 5611, "sequence_id": 120, "annotations": []}
{"role": "student", "content": "I", "session_id": 5611, "sequence_id": 121, "annotations": []}
{"role": "student", "content": "uh", "session_id": 5611, "sequence_id": 122, "annotations": []}
{"role": "student", "content": "I know my fallings yeah.", "session_id": 5611, "sequence_id": 123, "annotations": []}
{"role": "volunteer", "content": "What did you say?", "session_id": 5611, "sequence_id": 124, "annotations": []}
{"role": "student", "content": "It's fine. I just my answer.", "session_id": 5611, "sequence_id": 125, "annotations": []}
{"role": "volunteer", "content": "What question are you on?", "session_id": 5611, "sequence_id": 126, "annotations": []}
{"role": "student", "content": "Well, I'm, I'm already done. I already checked.", "session_id": 5611, "sequence_id": 127, "annotations": []}
{"role": "student", "content": "It's all right", "session_id": 5611, "sequence_id": 128, "annotations": []}
{"role": "student", "content": "It's not.", "session_id": 5611, "sequence_id": 129, "annotations": []}
{"role": "student", "content": "my abilities can still be tested.", "session_id": 5611, "sequence_id": 130, "annotations": []}
{"role": "student", "content": "So, uh, can we do this together? So the degree of the new is before", "session_id": 5611, "sequence_id": 131, "annotations": []}
{"role": "student", "content": "right?", "session_id": 5611, "sequence_id": 132, "annotations": []}
{"role": "student", "content": "for a number of zeros is 4.", "session_id": 5611, "sequence_id": 133, "annotations": []}
{"role": "student", "content": "44", "session_id": 5611, "sequence_id": 134, "annotations": []}
{"role": "student", "content": "The possible number of zeros is also for the left tail is.", "session_id": 5611, "sequence_id": 135, "annotations": []}
{"role": "student", "content": "rice", "session_id": 5611, "sequence_id": 136, "annotations": []}
{"role": "student", "content": "rice rice.", "session_id": 5611, "sequence_id": 137, "annotations": []}
{"role": "student", "content": "Am I correct", "session_id": 5611, "sequence_id": 138, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 5611, "sequence_id": 139, "annotations": []}
{"role": "student", "content": "Teacher, it's not rice.", "session_id": 5611, "sequence_id": 140, "annotations": [{"pii_type": "PERSON", "surrogate": "Teacher", "start": 0, "end": 7}]}
{"role": "student", "content": "OK. So, second is 3. So 3rd", "session_id": 5611, "sequence_id": 141, "annotations": []}
{"role": "student", "content": "degrees also and the number of possible zeros is also 3.", "session_id": 5611, "sequence_id": 142, "annotations": []}
{"role": "student", "content": "and since it's negative, it is all rise.", "session_id": 5611, "sequence_id": 143, "annotations": []}
{"role": "student", "content": "It is fall rise.", "session_id": 5611, "sequence_id": 144, "annotations": []}
{"role": "volunteer", "content": "thats correct", "session_id": 5611, "sequence_id": 145, "annotations": []}
{"role": "student", "content": "fall, rise. OK, that's correct.", "session_id": 5611, "sequence_id": 146, "annotations": []}
{"role": "student", "content": "Second is", "session_id": 5611, "sequence_id": 147, "annotations": []}
{"role": "student", "content": "2 degrees zeros is 2 possible 062, and since it's positive, it is rise, rise.", "session_id": 5611, "sequence_id": 148, "annotations": []}
{"role": "student", "content": "And then the last it is positive and", "session_id": 5611, "sequence_id": 149, "annotations": []}
{"role": "student", "content": "just positive and", "session_id": 5611, "sequence_id": 150, "annotations": []}
{"role": "student", "content": "odd, so it's 5th 5 number of possible 065, the left a.", "session_id": 5611, "sequence_id": 151, "annotations": []}
{"role": "student", "content": "is", "session_id": 5611, "sequence_id": 152, "annotations": []}
{"role": "student", "content": "Professor Lee rice. I know", "session_id": 5611, "sequence_id": 153, "annotations": [{"pii_type": "PERSON", "surrogate": "Professor Lee", "start": 0, "end": 13}]}
{"role": "student", "content": "I.", "session_id": 5611, "sequence_id": 154, "annotations": []}
{"role": "student", "content": "I", "session_id": 5611, "sequence_id": 155, "annotations": []}
{"role": "student", "content": "right.", "session_id": 5611, "sequence_id": 156, "annotations": []}
{"role": "student", "content": "check", "session_id": 5611, "sequence_id": 157, "annotations": []}
{"role": "student", "content": "so that we can do the multiple choice yeah.", "session_id": 5611, "sequence_id": 158, "annotations": []}
{"role": "student", "content": "Oh, OK.", "session_id": 5611, "sequence_id": 159, "annotations": []}
{"role": "student", "content": "Right", "session_id": 5611, "sequence_id": 160, "annotations": []}
{"role": "student", "content": "trying to find the answer to right now. Give me a minute.", "session_id": 5611, "sequence_id": 161, "annotations": []}
{"role": "student", "content": "Yeah so", "session_id": 5611, "sequence_id": 162, "annotations": []}
{"role": "student", "content": "I.", "session_id": 5611, "sequence_id": 163, "annotations": []}
{"role": "student", "content": "3 fix this", "session_id": 5611, "sequence_id": 164, "annotations": []}
{"role": "student", "content": "correct", "session_id": 5611, "sequence_id": 165, "annotations": []}
{"role": "student", "content": "Oh", "session_id": 5611, "sequence_id": 166, "annotations": []}
{"role": "student", "content": "wait, this is too. This is on the identification so.", "session_id": 5611, "sequence_id": 167, "annotations": []}
{"role": "student", "content": "for me", "session_id": 5611, "sequence_id": 168, "annotations": []}
{"role": "student", "content": "This is more for me", "session_id": 5611, "sequence_id": 169, "annotations": []}
{"role": "student", "content": "I think I can answer this.", "session_id": 5611, "sequence_id": 170, "annotations": []}
{"role": "student", "content": "OK, let's consciousness.", "session_id": 5611, "sequence_id": 171, "annotations": []}
{"role": "student", "content": "But I can do the graphingly because there is polynomial graphing.", "session_id": 5611, "sequence_id": 172, "annotations": []}
{"role": "student", "content": "here.", "session_id": 5611, "sequence_id": 173, "annotations": []}
{"role": "student", "content": "Uh, factors number one is fact.", "session_id": 5611, "sequence_id": 174, "annotations": []}
{"role": "student", "content": "Do", "session_id": 5611, "sequence_id": 175, "annotations": []}
{"role": "student", "content": "Sir", "session_id": 5611, "sequence_id": 176, "annotations": [{"pii_type": "PERSON", "surrogate": "Sir", "start": 0, "end": 3}]}
{"role": "student", "content": "This is using coefficients.", "session_id": 5611, "sequence_id": 177, "annotations": []}
{"role": "student", "content": "It's", "session_id": 5611, "sequence_id": 178, "annotations": []}
{"role": "student", "content": "#3 is remainder.", "session_id": 5611, "sequence_id": 179, "annotations": []}
{"role": "student", "content": "Number 2 is synthetic.", "session_id": 5611, "sequence_id": 180, "annotations": []}
{"role": "student", "content": "division", "session_id": 5611, "sequence_id": 181, "annotations": []}
{"role": "student", "content": "less", "session_id": 5611, "sequence_id": 182, "annotations": []}
{"role": "student", "content": "rational root theorem.", "session_id": 5611, "sequence_id": 183, "annotations": []}
{"role": "student", "content": "5. It's uh", "session_id": 5611, "sequence_id": 184, "annotations": []}
{"role": "student", "content": "polynomial function.", "session_id": 5611, "sequence_id": 185, "annotations": []}
{"role": "student", "content": "6", "session_id": 5611, "sequence_id": 186, "annotations": []}
{"role": "student", "content": "What do you mean the theorem states that the remainder is equal to.", "session_id": 5611, "sequence_id": 187, "annotations": []}
{"role": "student", "content": "I remain their irran.", "session_id": 5611, "sequence_id": 188, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 5611, "sequence_id": 189, "annotations": []}
{"role": "student", "content": "You see that", "session_id": 5611, "sequence_id": 190, "annotations": []}
{"role": "volunteer", "content": "its Remainder Theorem", "session_id": 5611, "sequence_id": 191, "annotations": []}
{"role": "student", "content": "or I", "session_id": 5611, "sequence_id": 192, "annotations": []}
{"role": "student", "content": "Let's see", "session_id": 5611, "sequence_id": 193, "annotations": []}
{"role": "student", "content": "Let's see, let's see", "session_id": 5611, "sequence_id": 194, "annotations": []}
{"role": "student", "content": "I know.", "session_id": 5611, "sequence_id": 195, "annotations": []}
{"role": "student", "content": "Mm.", "session_id": 5611, "sequence_id": 196, "annotations": []}
{"role": "student", "content": "right", "session_id": 5611, "sequence_id": 197, "annotations": []}
{"role": "volunteer", "content": "It is just saying that When you divide a polynomial \n\ud835\udc53(x) by x\u2212a, the remainder of that division is f(a).", "session_id": 5611, "sequence_id": 198, "annotations": []}
{"role": "student", "content": "Synthetic", "session_id": 5611, "sequence_id": 199, "annotations": []}
{"role": "student", "content": "mean the rationalno remained there. I knew it. OK.", "session_id": 5611, "sequence_id": 200, "annotations": []}
{"role": "student", "content": "Let's do test 2.", "session_id": 5611, "sequence_id": 201, "annotations": []}
{"role": "student", "content": "Namo", "session_id": 5611, "sequence_id": 202, "annotations": []}
{"role": "student", "content": "I 3 multiple choice. let me upload this real quick.", "session_id": 5611, "sequence_id": 203, "annotations": []}
{"role": "volunteer", "content": "You seem like you are very good at this.", "session_id": 5611, "sequence_id": 204, "annotations": []}
{"role": "student", "content": "Daniel Springfield", "session_id": 5611, "sequence_id": 205, "annotations": [{"pii_type": "PERSON", "surrogate": "Daniel", "start": 0, "end": 6}, {"pii_type": "LOCATION", "surrogate": "Springfield", "start": 7, "end": 18}]}
{"role": "student", "content": "I am not very good at this actually I'm cramming this because", "session_id": 5611, "sequence_id": 206, "annotations": []}
{"role": "student", "content": "we have a very major exam, I think tomorrow and I'm just clutching.", "session_id": 5611, "sequence_id": 207, "annotations": []}
{"role": "student", "content": "I am think that for this.", "session_id": 5611, "sequence_id": 208, "annotations": []}
{"role": "student", "content": "I discovered that", "session_id": 5611, "sequence_id": 209, "annotations": []}
{"role": "student", "content": "my upper cheek is covered long.", "session_id": 5611, "sequence_id": 210, "annotations": []}
{"role": "student", "content": "ran out of space. No. Mm.", "session_id": 5611, "sequence_id": 211, "annotations": []}
{"role": "student", "content": "fine.", "session_id": 5611, "sequence_id": 212, "annotations": []}
{"role": "student", "content": "you know, it's clear is", "session_id": 5611, "sequence_id": 213, "annotations": []}
{"role": "student", "content": "Do you see the new", "session_id": 5611, "sequence_id": 214, "annotations": []}
{"role": "student", "content": "is, what is the good one to be.", "session_id": 5611, "sequence_id": 215, "annotations": []}
{"role": "student", "content": "to expression is that I know, you know.", "session_id": 5611, "sequence_id": 216, "annotations": []}
{"role": "student", "content": "Mm.", "session_id": 5611, "sequence_id": 217, "annotations": []}
{"role": "student", "content": "The device or the device or is a", "session_id": 5611, "sequence_id": 218, "annotations": []}
{"role": "student", "content": "um", "session_id": 5611, "sequence_id": 219, "annotations": []}
{"role": "student", "content": "How many sign changes are.", "session_id": 5611, "sequence_id": 220, "annotations": []}
{"role": "student", "content": "5", "session_id": 5611, "sequence_id": 221, "annotations": []}
{"role": "student", "content": "the", "session_id": 5611, "sequence_id": 222, "annotations": []}
{"role": "volunteer", "content": "what question are you on?", "session_id": 5611, "sequence_id": 223, "annotations": []}
{"role": "student", "content": "maximum number of 30 maximum you manage it by 1 to 8.", "session_id": 5611, "sequence_id": 224, "annotations": []}
{"role": "student", "content": "6. The bleeding there.", "session_id": 5611, "sequence_id": 225, "annotations": []}
{"role": "student", "content": "Was the leading term of this, I have 9.", "session_id": 5611, "sequence_id": 226, "annotations": []}
{"role": "student", "content": "The leading time is a, let me check.", "session_id": 5611, "sequence_id": 227, "annotations": []}
{"role": "student", "content": "like real", "session_id": 5611, "sequence_id": 228, "annotations": []}
{"role": "student", "content": "quick", "session_id": 5611, "sequence_id": 229, "annotations": []}
{"role": "student", "content": "tore", "session_id": 5611, "sequence_id": 230, "annotations": []}
{"role": "student", "content": "B", "session_id": 5611, "sequence_id": 231, "annotations": []}
{"role": "student", "content": "A huh?", "session_id": 5611, "sequence_id": 232, "annotations": []}
{"role": "student", "content": "huh", "session_id": 5611, "sequence_id": 233, "annotations": []}
{"role": "volunteer", "content": "what question are you on?", "session_id": 5611, "sequence_id": 234, "annotations": []}
{"role": "student", "content": "Yeah,", "session_id": 5611, "sequence_id": 235, "annotations": []}
{"role": "student", "content": "it's like", "session_id": 5611, "sequence_id": 236, "annotations": []}
{"role": "student", "content": "She doesn't like. I, I already checked all of them. It's fine.", "session_id": 5611, "sequence_id": 237, "annotations": []}
{"role": "student", "content": "It's do the last.", "session_id": 5611, "sequence_id": 238, "annotations": []}
{"role": "student", "content": "bit of pain, which is grafting, and I know finding all the zeros of a polynomial function, then we can do graphing.", "session_id": 5611, "sequence_id": 239, "annotations": []}
{"role": "student", "content": "Oh my God", "session_id": 5611, "sequence_id": 240, "annotations": []}
{"role": "student", "content": "context one.", "session_id": 5611, "sequence_id": 241, "annotations": []}
{"role": "student", "content": "conflict squad", "session_id": 5611, "sequence_id": 242, "annotations": []}
{"role": "student", "content": "I", "session_id": 5611, "sequence_id": 243, "annotations": []}
{"role": "student", "content": "I", "session_id": 5611, "sequence_id": 244, "annotations": []}
{"role": "student", "content": "this", "session_id": 5611, "sequence_id": 245, "annotations": []}
{"role": "student", "content": "Uh", "session_id": 5611, "sequence_id": 246, "annotations": []}
{"role": "student", "content": "I think we can be done before 30 actually if I'm really, if I'm being really realistic, then you can re-drill this.", "session_id": 5611, "sequence_id": 247, "annotations": []}
{"role": "student", "content": "and uh can you teach me thereivatives.", "session_id": 5611, "sequence_id": 248, "annotations": []}
{"role": "student", "content": "some sort of you can like do a takeover because", "session_id": 5611, "sequence_id": 249, "annotations": []}
{"role": "student", "content": "that's here", "session_id": 5611, "sequence_id": 250, "annotations": []}
{"role": "student", "content": "divide the polynomial I", "session_id": 5611, "sequence_id": 251, "annotations": []}
{"role": "student", "content": "Mm.", "session_id": 5611, "sequence_id": 252, "annotations": []}
{"role": "student", "content": "one time and I'm.", "session_id": 5611, "sequence_id": 253, "annotations": []}
{"role": "student", "content": "I so", "session_id": 5611, "sequence_id": 254, "annotations": []}
{"role": "student", "content": "1 minute 6 and 76.", "session_id": 5611, "sequence_id": 255, "annotations": []}
{"role": "student", "content": "not.", "session_id": 5611, "sequence_id": 256, "annotations": []}
{"role": "student", "content": "I", "session_id": 5611, "sequence_id": 257, "annotations": []}
{"role": "student", "content": "knew my cycle.", "session_id": 5611, "sequence_id": 258, "annotations": []}
{"role": "student", "content": "I", "session_id": 5611, "sequence_id": 259, "annotations": []}
{"role": "student", "content": "Uh, it's not a factor.", "session_id": 5611, "sequence_id": 260, "annotations": []}
{"role": "student", "content": "The remainder is like the ocean's like", "session_id": 5611, "sequence_id": 261, "annotations": []}
{"role": "student", "content": "uh.", "session_id": 5611, "sequence_id": 262, "annotations": []}
{"role": "student", "content": "so it, so it's not, it's not uh", "session_id": 5611, "sequence_id": 263, "annotations": []}
{"role": "volunteer", "content": "for 1.)", "session_id": 5611, "sequence_id": 264, "annotations": []}
{"role": "student", "content": "it's not I I think I'm a 6", "session_id": 5611, "sequence_id": 265, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 5611, "sequence_id": 266, "annotations": []}
{"role": "student", "content": "and 7.", "session_id": 5611, "sequence_id": 267, "annotations": []}
{"role": "student", "content": "30. So there are remainders-630. And then so we remain there here.", "session_id": 5611, "sequence_id": 268, "annotations": []}
{"role": "student", "content": "That's it", "session_id": 5611, "sequence_id": 269, "annotations": []}
{"role": "student", "content": "Oh my God, we just have context one, OK.", "session_id": 5611, "sequence_id": 270, "annotations": []}
{"role": "volunteer", "content": "for 1. the remainder is -30", "session_id": 5611, "sequence_id": 271, "annotations": []}
{"role": "student", "content": "Uh, oh my God", "session_id": 5611, "sequence_id": 272, "annotations": []}
{"role": "student", "content": "I'm asking like that.", "session_id": 5611, "sequence_id": 273, "annotations": []}
{"role": "student", "content": "let me upload it", "session_id": 5611, "sequence_id": 274, "annotations": []}
{"role": "volunteer", "content": "and the quotient is Dr. Miller", "session_id": 5611, "sequence_id": 275, "annotations": [{"pii_type": "PERSON", "surrogate": "Dr. Miller", "start": 20, "end": 30}]}
{"role": "student", "content": "OK", "session_id": 5611, "sequence_id": 276, "annotations": []}
{"role": "student", "content": "Let's upload this, yeah", "session_id": 5611, "sequence_id": 277, "annotations": []}
{"role": "student", "content": "The last part we have to do is graphing and we can do it all over again.", "session_id": 5611, "sequence_id": 278, "annotations": []}
{"role": "student", "content": "Like we can do like", "session_id": 5611, "sequence_id": 279, "annotations": []}
{"role": "student", "content": "we can do the moth test.", "session_id": 5611, "sequence_id": 280, "annotations": []}
{"role": "student", "content": "and then the mock tests in quite a while actually.", "session_id": 5611, "sequence_id": 281, "annotations": []}
{"role": "student", "content": "you know for sure.", "session_id": 5611, "sequence_id": 282, "annotations": []}
{"role": "student", "content": "Do it called find the actual zeros, OK, then.", "session_id": 5611, "sequence_id": 283, "annotations": []}
{"role": "student", "content": "Hm.", "session_id": 5611, "sequence_id": 284, "annotations": []}
{"role": "student", "content": "is still 18", "session_id": 5611, "sequence_id": 285, "annotations": []}
{"role": "student", "content": "in.", "session_id": 5611, "sequence_id": 286, "annotations": []}
{"role": "student", "content": "negative", "session_id": 5611, "sequence_id": 287, "annotations": []}
{"role": "student", "content": "which", "session_id": 5611, "sequence_id": 288, "annotations": []}
{"role": "student", "content": "9 + 15.", "session_id": 5611, "sequence_id": 289, "annotations": []}
{"role": "student", "content": "6", "session_id": 5611, "sequence_id": 290, "annotations": []}
{"role": "student", "content": "1503 is a popcorn, OK. We need 6. What about 2?", "session_id": 5611, "sequence_id": 291, "annotations": []}
{"role": "student", "content": "Uh", "session_id": 5611, "sequence_id": 292, "annotations": []}
{"role": "student", "content": "I know. What about positive though.", "session_id": 5611, "sequence_id": 293, "annotations": []}
{"role": "student", "content": "to.", "session_id": 5611, "sequence_id": 294, "annotations": []}
{"role": "student", "content": "3, negative. What? A 33 and 2. OK, found it very fast.", "session_id": 5611, "sequence_id": 295, "annotations": []}
{"role": "volunteer", "content": "Can you answer the questions on the whiteboard?", "session_id": 5611, "sequence_id": 296, "annotations": []}
{"role": "student", "content": "OK, the, the X intercept is X + 3 X minus 3, and X minus 2. So", "session_id": 5611, "sequence_id": 297, "annotations": []}
{"role": "student", "content": "the bond is 30, 30 and 20 and the Y intercept method.", "session_id": 5611, "sequence_id": 298, "annotations": []}
{"role": "student", "content": "018", "session_id": 5611, "sequence_id": 299, "annotations": []}
{"role": "student", "content": "OK", "session_id": 5611, "sequence_id": 300, "annotations": []}
{"role": "student", "content": "X Y and behavior of the graph since it's a positive and it's an integer. It's fall and rise.", "session_id": 5611, "sequence_id": 301, "annotations": []}
{"role": "student", "content": "And then we have to find the zeros of this, so 3.", "session_id": 5611, "sequence_id": 302, "annotations": []}
{"role": "student", "content": "33, the power function, so it's an odd", "session_id": 5611, "sequence_id": 303, "annotations": []}
{"role": "student", "content": "so what does the X is just", "session_id": 5611, "sequence_id": 304, "annotations": []}
{"role": "student", "content": "a constant. The other one is processed over.", "session_id": 5611, "sequence_id": 305, "annotations": []}
{"role": "student", "content": "uh", "session_id": 5611, "sequence_id": 306, "annotations": []}
{"role": "student", "content": "T ET It's a tangent, but this is all, so it's a process, OK.", "session_id": 5611, "sequence_id": 307, "annotations": []}
{"role": "student", "content": "You found it. It's very fast, I think. I wanna grab and I wanna like have it by myself and I'll take, I take a picture.", "session_id": 5611, "sequence_id": 308, "annotations": []}
{"role": "student", "content": "um", "session_id": 5611, "sequence_id": 309, "annotations": []}
{"role": "student", "content": "um", "session_id": 5611, "sequence_id": 310, "annotations": []}
{"role": "student", "content": "-1", "session_id": 5611, "sequence_id": 311, "annotations": []}
{"role": "student", "content": "Oh", "session_id": 5611, "sequence_id": 312, "annotations": []}
{"role": "volunteer", "content": "I feel like I am not helping you since you already know how to do this.", "session_id": 5611, "sequence_id": 313, "annotations": []}
{"role": "student", "content": "OK", "session_id": 5611, "sequence_id": 314, "annotations": []}
{"role": "student", "content": "if", "session_id": 5611, "sequence_id": 315, "annotations": []}
{"role": "student", "content": "0 is 18.", "session_id": 5611, "sequence_id": 316, "annotations": []}
{"role": "volunteer", "content": "Are you sure you need my help?", "session_id": 5611, "sequence_id": 317, "annotations": []}
{"role": "student", "content": "uh, it's fine, but like,", "session_id": 5611, "sequence_id": 318, "annotations": []}
{"role": "student", "content": "it's fine", "session_id": 5611, "sequence_id": 319, "annotations": []}
{"role": "student", "content": "Uh, I just need some other check answers because the reason why I got all children at the first place because uh", "session_id": 5611, "sequence_id": 320, "annotations": []}
{"role": "student", "content": "good", "session_id": 5611, "sequence_id": 321, "annotations": []}
{"role": "student", "content": "um,", "session_id": 5611, "sequence_id": 322, "annotations": []}
{"role": "student", "content": "about", "session_id": 5611, "sequence_id": 323, "annotations": []}
{"role": "student", "content": "1", "session_id": 5611, "sequence_id": 324, "annotations": []}
{"role": "student", "content": "I don't know where I back you.", "session_id": 5611, "sequence_id": 325, "annotations": []}
{"role": "volunteer", "content": "I've been trying to check but you have been going through it on your own and not doing it on the whiteboard.", "session_id": 5611, "sequence_id": 326, "annotations": []}
{"role": "student", "content": "I'm trying to grab.", "session_id": 5611, "sequence_id": 327, "annotations": []}
{"role": "student", "content": "nothing on the whiteboard, yeah, make it on the paper but like", "session_id": 5611, "sequence_id": 328, "annotations": []}
{"role": "student", "content": "the reason why I wanted you on the mics so we can. I can hear you, so I", "session_id": 5611, "sequence_id": 329, "annotations": []}
{"role": "student", "content": "actually saw", "session_id": 5611, "sequence_id": 330, "annotations": []}
{"role": "student", "content": "all right.", "session_id": 5611, "sequence_id": 331, "annotations": []}
{"role": "student", "content": "And just before", "session_id": 5611, "sequence_id": 332, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 5611, "sequence_id": 333, "annotations": []}
{"role": "student", "content": "I need this", "session_id": 5611, "sequence_id": 334, "annotations": []}
{"role": "student", "content": "what", "session_id": 5611, "sequence_id": 335, "annotations": []}
{"role": "student", "content": "the area", "session_id": 5611, "sequence_id": 336, "annotations": [{"pii_type": "LOCATION", "surrogate": "area", "start": 4, "end": 8}]}
{"role": "student", "content": "we here.", "session_id": 5611, "sequence_id": 337, "annotations": []}
{"role": "student", "content": "Um", "session_id": 5611, "sequence_id": 338, "annotations": []}
{"role": "student", "content": "5678.", "session_id": 5611, "sequence_id": 339, "annotations": []}
{"role": "student", "content": "I", "session_id": 5611, "sequence_id": 340, "annotations": []}
{"role": "student", "content": "for.", "session_id": 5611, "sequence_id": 341, "annotations": []}
{"role": "student", "content": "and above", "session_id": 5611, "sequence_id": 342, "annotations": []}
{"role": "student", "content": "Oh wait, I get it now", "session_id": 5611, "sequence_id": 343, "annotations": []}
{"role": "student", "content": "one", "session_id": 5611, "sequence_id": 344, "annotations": []}
{"role": "student", "content": "It's negative where is it um", "session_id": 5611, "sequence_id": 345, "annotations": []}
{"role": "student", "content": "What is", "session_id": 5611, "sequence_id": 346, "annotations": []}
{"role": "student", "content": "So it's like an inverted W, just like, it's like a really", "session_id": 5611, "sequence_id": 347, "annotations": []}
{"role": "student", "content": "****** WU", "session_id": 5611, "sequence_id": 348, "annotations": []}
{"role": "student", "content": "Oh, I got it", "session_id": 5611, "sequence_id": 349, "annotations": []}
{"role": "student", "content": "Uh-huh.", "session_id": 5611, "sequence_id": 350, "annotations": []}
{"role": "student", "content": "that", "session_id": 5611, "sequence_id": 351, "annotations": []}
{"role": "student", "content": "I, I was able to do that.", "session_id": 5611, "sequence_id": 352, "annotations": []}
{"role": "student", "content": "minutes.", "session_id": 5611, "sequence_id": 353, "annotations": []}
{"role": "student", "content": "honestly, the act", "session_id": 5611, "sequence_id": 354, "annotations": []}
{"role": "student", "content": "ual", "session_id": 5611, "sequence_id": 355, "annotations": []}
{"role": "student", "content": "not the equation on.", "session_id": 5611, "sequence_id": 356, "annotations": []}
{"role": "student", "content": "that we can do the uh not that.", "session_id": 5611, "sequence_id": 357, "annotations": []}
{"role": "student", "content": "um", "session_id": 5611, "sequence_id": 358, "annotations": []}
{"role": "student", "content": "I.", "session_id": 5611, "sequence_id": 359, "annotations": []}
{"role": "student", "content": "sins.", "session_id": 5611, "sequence_id": 360, "annotations": []}
{"role": "student", "content": "and its.", "session_id": 5611, "sequence_id": 361, "annotations": []}
{"role": "student", "content": "Oh, so it does look like", "session_id": 5611, "sequence_id": 362, "annotations": []}
{"role": "student", "content": "thing.", "session_id": 5611, "sequence_id": 363, "annotations": []}
{"role": "student", "content": "I got it right. OK, let's go. OK, OK, OK. We're at", "session_id": 5611, "sequence_id": 364, "annotations": []}
{"role": "student", "content": "visit the official mas based on the ma.", "session_id": 5611, "sequence_id": 365, "annotations": []}
{"role": "student", "content": "I have time to kill cause exams actually tomorrow.", "session_id": 5611, "sequence_id": 366, "annotations": []}
{"role": "student", "content": "wait, before we did the mock test again. Can you teach me derivatives. I actually.", "session_id": 5611, "sequence_id": 367, "annotations": []}
{"role": "volunteer", "content": "What about them", "session_id": 5611, "sequence_id": 368, "annotations": []}
{"role": "volunteer", "content": "Do you have a problem on it or", "session_id": 5611, "sequence_id": 369, "annotations": []}
{"role": "student", "content": "Yes, I do have a problem because it's in the coverage, but it's not in the reviewer, but I've heard that.", "session_id": 5611, "sequence_id": 370, "annotations": []}
{"role": "student", "content": "be included in the time they made a big fuss about theirs from the other sections just because", "session_id": 5611, "sequence_id": 371, "annotations": []}
{"role": "student", "content": "uh", "session_id": 5611, "sequence_id": 372, "annotations": []}
{"role": "student", "content": "of the classes because", "session_id": 5611, "sequence_id": 373, "annotations": []}
{"role": "student", "content": "they were there they were able to take it uh", "session_id": 5611, "sequence_id": 374, "annotations": []}
{"role": "volunteer", "content": "well a derivative gives the slope of a function at any point.", "session_id": 5611, "sequence_id": 375, "annotations": []}
{"role": "student", "content": "And the reason why they're elastic is I don't know how, but it just happened. And it's not an, well deliverative gives the slope of a function at any point, OK, so you can use the function that we worked with earlier. That's a, that's a good starter.", "session_id": 5611, "sequence_id": 376, "annotations": []}
{"role": "student", "content": "What is a derivative then? Can, can you help me define a derivative like do two questions at at least 3 questions so I can do the three questions so I can be sure when I'm going into tomorrow cause there might be there, but there's an other disk. We'll just do some work problems and then we do like half a moth test and be good.", "session_id": 5611, "sequence_id": 377, "annotations": []}
{"role": "student", "content": "here.", "session_id": 5611, "sequence_id": 378, "annotations": []}
{"role": "student", "content": "I uploaded it", "session_id": 5611, "sequence_id": 379, "annotations": []}
{"role": "student", "content": "It's like the slope.", "session_id": 5611, "sequence_id": 380, "annotations": []}
{"role": "student", "content": "a slope of a function at any point, OK.", "session_id": 5611, "sequence_id": 381, "annotations": []}
{"role": "student", "content": "Let's do this. So, since we already found the graph.", "session_id": 5611, "sequence_id": 382, "annotations": []}
{"role": "student", "content": "What do we do now", "session_id": 5611, "sequence_id": 383, "annotations": []}
{"role": "student", "content": "What is Leibniz and what do we do with all the prime.", "session_id": 5611, "sequence_id": 384, "annotations": [{"pii_type": "PERSON", "surrogate": "Leibniz", "start": 8, "end": 15}]}
{"role": "volunteer", "content": "so do you want to use this?", "session_id": 5611, "sequence_id": 385, "annotations": []}
{"role": "student", "content": "like, give me an example", "session_id": 5611, "sequence_id": 386, "annotations": []}
{"role": "student", "content": "The general derivative.", "session_id": 5611, "sequence_id": 387, "annotations": [{"pii_type": "LOCATION", "surrogate": "general", "start": 4, "end": 11}]}
{"role": "student", "content": "Yes, we want to use that.", "session_id": 5611, "sequence_id": 388, "annotations": []}
{"role": "volunteer", "content": "do you know what the power rule is?", "session_id": 5611, "sequence_id": 389, "annotations": []}
{"role": "student", "content": "And also I'll start solving on, on the board right now so that we won't be any inconvenience for you OK?", "session_id": 5611, "sequence_id": 390, "annotations": []}
{"role": "student", "content": "We already kind of found the slope and the form was kind of like a bubby like that.", "session_id": 5611, "sequence_id": 391, "annotations": []}
{"role": "student", "content": "something like this", "session_id": 5611, "sequence_id": 392, "annotations": []}
{"role": "student", "content": "slowing down and going from something like this", "session_id": 5611, "sequence_id": 393, "annotations": []}
{"role": "student", "content": "thick letter N", "session_id": 5611, "sequence_id": 394, "annotations": []}
{"role": "student", "content": "So what can we", "session_id": 5611, "sequence_id": 395, "annotations": []}
{"role": "volunteer", "content": "Chloe do you know what the power rule is?", "session_id": 5611, "sequence_id": 396, "annotations": [{"pii_type": "PERSON", "surrogate": "Chloe", "start": 0, "end": 5}]}
{"role": "student", "content": "I don't know what the power rule is actually.", "session_id": 5611, "sequence_id": 397, "annotations": []}
{"role": "student", "content": "but please light", "session_id": 5611, "sequence_id": 398, "annotations": []}
{"role": "student", "content": "Yes, I would like to", "session_id": 5611, "sequence_id": 399, "annotations": []}
{"role": "student", "content": "What is the", "session_id": 5611, "sequence_id": 400, "annotations": []}
{"role": "volunteer", "content": "The power rule is if you have x^n then the deravitive is nx^n-1", "session_id": 5611, "sequence_id": 401, "annotations": []}
{"role": "volunteer", "content": "so basically", "session_id": 5611, "sequence_id": 402, "annotations": []}
{"role": "student", "content": "The power rule is that if you have N", "session_id": 5611, "sequence_id": 403, "annotations": []}
{"role": "student", "content": "raise the bar and derivative is", "session_id": 5611, "sequence_id": 404, "annotations": []}
{"role": "student", "content": "what is at the number that you're trying to find, raise the part of", "session_id": 5611, "sequence_id": 405, "annotations": []}
{"role": "student", "content": "X", "session_id": 5611, "sequence_id": 406, "annotations": []}
{"role": "student", "content": "huh, wait.", "session_id": 5611, "sequence_id": 407, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 5611, "sequence_id": 408, "annotations": []}
{"role": "student", "content": "So we have the power rule formula. So what do we do with those?", "session_id": 5611, "sequence_id": 409, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 5611, "sequence_id": 410, "annotations": []}
{"role": "student", "content": "I we.", "session_id": 5611, "sequence_id": 411, "annotations": []}
{"role": "volunteer", "content": "so if you have x^3", "session_id": 5611, "sequence_id": 412, "annotations": []}
{"role": "volunteer", "content": "the deravitive is 3x^2", "session_id": 5611, "sequence_id": 413, "annotations": []}
{"role": "student", "content": "But how do we get those kind of derivatives though.", "session_id": 5611, "sequence_id": 414, "annotations": []}
{"role": "student", "content": "So like", "session_id": 5611, "sequence_id": 415, "annotations": []}
{"role": "student", "content": "uh", "session_id": 5611, "sequence_id": 416, "annotations": []}
{"role": "student", "content": "so we", "session_id": 5611, "sequence_id": 417, "annotations": []}
{"role": "student", "content": "oh, OK, I get it, so", "session_id": 5611, "sequence_id": 418, "annotations": []}
{"role": "student", "content": "So if it was X, wait, I'll try to do it on my own", "session_id": 5611, "sequence_id": 419, "annotations": []}
{"role": "student", "content": "That's I was 6 and X-rays of our or let's try to do this.", "session_id": 5611, "sequence_id": 420, "annotations": []}
{"role": "student", "content": "So if it ends up being this how do we", "session_id": 5611, "sequence_id": 421, "annotations": []}
{"role": "student", "content": "so we move the numbers of 6.", "session_id": 5611, "sequence_id": 422, "annotations": []}
{"role": "student", "content": "X, raised by 5 like this.", "session_id": 5611, "sequence_id": 423, "annotations": []}
{"role": "student", "content": "This is what we do", "session_id": 5611, "sequence_id": 424, "annotations": []}
{"role": "student", "content": "like this", "session_id": 5611, "sequence_id": 425, "annotations": []}
{"role": "student", "content": "I wanna, I wanna remember this.", "session_id": 5611, "sequence_id": 426, "annotations": []}
{"role": "student", "content": "like this, so there's only do like in the that I'm doing right now, am I correct?", "session_id": 5611, "sequence_id": 427, "annotations": []}
{"role": "volunteer", "content": "so", "session_id": 5611, "sequence_id": 428, "annotations": []}
{"role": "student", "content": "So.", "session_id": 5611, "sequence_id": 429, "annotations": []}
{"role": "student", "content": "how on me", "session_id": 5611, "sequence_id": 430, "annotations": []}
{"role": "volunteer", "content": "like if you have", "session_id": 5611, "sequence_id": 431, "annotations": []}
{"role": "student", "content": "when you directly", "session_id": 5611, "sequence_id": 432, "annotations": []}
{"role": "student", "content": "like if you have", "session_id": 5611, "sequence_id": 433, "annotations": []}
{"role": "volunteer", "content": "5x^4", "session_id": 5611, "sequence_id": 434, "annotations": []}
{"role": "volunteer", "content": "the deravitive would be", "session_id": 5611, "sequence_id": 435, "annotations": []}
{"role": "student", "content": "Oh", "session_id": 5611, "sequence_id": 436, "annotations": []}
{"role": "volunteer", "content": "20x^3", "session_id": 5611, "sequence_id": 437, "annotations": []}
{"role": "student", "content": "and", "session_id": 5611, "sequence_id": 438, "annotations": []}
{"role": "student", "content": "Oh, OK. I, I get it now. Give me some random", "session_id": 5611, "sequence_id": 439, "annotations": []}
{"role": "student", "content": "what about", "session_id": 5611, "sequence_id": 440, "annotations": []}
{"role": "student", "content": "give me an easy multiplier number long like 3 to 5", "session_id": 5611, "sequence_id": 441, "annotations": []}
{"role": "student", "content": "I don't wanna make it myself and let's see", "session_id": 5611, "sequence_id": 442, "annotations": []}
{"role": "student", "content": "Give me a random number, he raised the bar too, so 2 minus 1 is 1, so it's the derivative of 3 x 2 is just 6 X, right?", "session_id": 5611, "sequence_id": 443, "annotations": []}
{"role": "student", "content": "Am I doing this correct?", "session_id": 5611, "sequence_id": 444, "annotations": []}
{"role": "volunteer", "content": "The deravitive would be 6x", "session_id": 5611, "sequence_id": 445, "annotations": []}
{"role": "student", "content": "Like that's the formula actually, not gonna lie. Yes, OK, OK. I think we did enough. We have uh a few more word columns to do.", "session_id": 5611, "sequence_id": 446, "annotations": []}
{"role": "student", "content": "I just keep the derivative side on so that I can to review.", "session_id": 5611, "sequence_id": 447, "annotations": []}
{"role": "student", "content": "There is, in fact, uh,", "session_id": 5611, "sequence_id": 448, "annotations": []}
{"role": "student", "content": "a few", "session_id": 5611, "sequence_id": 449, "annotations": []}
{"role": "student", "content": "I would like to do on the stuff that we did earlier.", "session_id": 5611, "sequence_id": 450, "annotations": []}
{"role": "student", "content": "and we can do graphing and we're done.", "session_id": 5611, "sequence_id": 451, "annotations": []}
{"role": "volunteer", "content": "its kinda what you do with logs", "session_id": 5611, "sequence_id": 452, "annotations": []}
{"role": "student", "content": "I can speed rent this in 10 minutes, so.", "session_id": 5611, "sequence_id": 453, "annotations": []}
{"role": "student", "content": "then Noah.", "session_id": 5611, "sequence_id": 454, "annotations": [{"pii_type": "PERSON", "surrogate": "Noah", "start": 5, "end": 9}]}
{"role": "student", "content": "I", "session_id": 5611, "sequence_id": 455, "annotations": []}
{"role": "student", "content": "Give me a minute huh", "session_id": 5611, "sequence_id": 456, "annotations": []}
{"role": "student", "content": "problems that could have been.", "session_id": 5611, "sequence_id": 457, "annotations": []}
{"role": "student", "content": "the writing.", "session_id": 5611, "sequence_id": 458, "annotations": []}
{"role": "student", "content": "Here, I submitted it already. It's been uploaded but here there is activity", "session_id": 5611, "sequence_id": 459, "annotations": []}
{"role": "volunteer", "content": "where is it?", "session_id": 5611, "sequence_id": 460, "annotations": []}
{"role": "student", "content": "2nd semesters being uploaded right now.", "session_id": 5611, "sequence_id": 461, "annotations": []}
{"role": "student", "content": "OK, it's currently uploading right now. It's above", "session_id": 5611, "sequence_id": 462, "annotations": []}
{"role": "student", "content": "You see it already? It's above.", "session_id": 5611, "sequence_id": 463, "annotations": []}
{"role": "volunteer", "content": "Yes", "session_id": 5611, "sequence_id": 464, "annotations": []}
{"role": "student", "content": "Yeah, I can see that, so.", "session_id": 5611, "sequence_id": 465, "annotations": []}
{"role": "student", "content": "then on 1.988", "session_id": 5611, "sequence_id": 466, "annotations": []}
{"role": "student", "content": "divided by 2. 14 to 7", "session_id": 5611, "sequence_id": 467, "annotations": []}
{"role": "student", "content": "and", "session_id": 5611, "sequence_id": 468, "annotations": []}
{"role": "volunteer", "content": "Can you do 1. on the board?", "session_id": 5611, "sequence_id": 469, "annotations": []}
{"role": "student", "content": "OK", "session_id": 5611, "sequence_id": 470, "annotations": []}
{"role": "volunteer", "content": "so i can see what you are doing?", "session_id": 5611, "sequence_id": 471, "annotations": []}
{"role": "student", "content": "The area.", "session_id": 5611, "sequence_id": 472, "annotations": []}
{"role": "student", "content": "because", "session_id": 5611, "sequence_id": 473, "annotations": []}
{"role": "student", "content": "more", "session_id": 5611, "sequence_id": 474, "annotations": []}
{"role": "student", "content": "a square", "session_id": 5611, "sequence_id": 475, "annotations": []}
{"role": "student", "content": "and read by people on for 7, so we have 7 of the square to 7.", "session_id": 5611, "sequence_id": 476, "annotations": []}
{"role": "student", "content": "6.", "session_id": 5611, "sequence_id": 477, "annotations": []}
{"role": "student", "content": "and we have to", "session_id": 5611, "sequence_id": 478, "annotations": []}
{"role": "student", "content": "this basically", "session_id": 5611, "sequence_id": 479, "annotations": []}
{"role": "student", "content": "2 square to 7.", "session_id": 5611, "sequence_id": 480, "annotations": []}
{"role": "student", "content": "or", "session_id": 5611, "sequence_id": 481, "annotations": []}
{"role": "student", "content": "5.2", "session_id": 5611, "sequence_id": 482, "annotations": []}
{"role": "student", "content": "OK, that's the first.", "session_id": 5611, "sequence_id": 483, "annotations": []}
{"role": "student", "content": "find the volume. Ah, it's just extra for plus X +4 plus extras for essentially.", "session_id": 5611, "sequence_id": 484, "annotations": []}
{"role": "student", "content": "we can do this", "session_id": 5611, "sequence_id": 485, "annotations": []}
{"role": "student", "content": "for", "session_id": 5611, "sequence_id": 486, "annotations": []}
{"role": "volunteer", "content": "well for Xs just (x+4)^3", "session_id": 5611, "sequence_id": 487, "annotations": []}
{"role": "student", "content": "X.", "session_id": 5611, "sequence_id": 488, "annotations": []}
{"role": "student", "content": "8 X + 16.", "session_id": 5611, "sequence_id": 489, "annotations": []}
{"role": "student", "content": "Mhm", "session_id": 5611, "sequence_id": 490, "annotations": []}
{"role": "student", "content": "You can do this", "session_id": 5611, "sequence_id": 491, "annotations": []}
{"role": "student", "content": "Nexus for once again.", "session_id": 5611, "sequence_id": 492, "annotations": []}
{"role": "student", "content": "because", "session_id": 5611, "sequence_id": 493, "annotations": []}
{"role": "student", "content": "X", "session_id": 5611, "sequence_id": 494, "annotations": []}
{"role": "student", "content": "X", "session_id": 5611, "sequence_id": 495, "annotations": []}
{"role": "student", "content": "F", "session_id": 5611, "sequence_id": 496, "annotations": []}
{"role": "student", "content": "6", "session_id": 5611, "sequence_id": 497, "annotations": []}
{"role": "student", "content": "X", "session_id": 5611, "sequence_id": 498, "annotations": []}
{"role": "student", "content": "6", "session_id": 5611, "sequence_id": 499, "annotations": []}
{"role": "student", "content": "with Y", "session_id": 5611, "sequence_id": 500, "annotations": []}
{"role": "student", "content": "6, and in", "session_id": 5611, "sequence_id": 501, "annotations": []}
{"role": "student", "content": "482", "session_id": 5611, "sequence_id": 502, "annotations": []}
{"role": "student", "content": "6 times", "session_id": 5611, "sequence_id": 503, "annotations": []}
{"role": "student", "content": "degree.", "session_id": 5611, "sequence_id": 504, "annotations": []}
{"role": "student", "content": "72", "session_id": 5611, "sequence_id": 505, "annotations": []}
{"role": "student", "content": "5", "session_id": 5611, "sequence_id": 506, "annotations": []}
{"role": "student", "content": "Oh yeah", "session_id": 5611, "sequence_id": 507, "annotations": []}
{"role": "student", "content": "I", "session_id": 5611, "sequence_id": 508, "annotations": []}
{"role": "student", "content": "work in", "session_id": 5611, "sequence_id": 509, "annotations": []}
{"role": "student", "content": "for", "session_id": 5611, "sequence_id": 510, "annotations": []}
{"role": "student", "content": "6", "session_id": 5611, "sequence_id": 511, "annotations": []}
{"role": "student", "content": "different", "session_id": 5611, "sequence_id": 512, "annotations": []}
{"role": "student", "content": "different.", "session_id": 5611, "sequence_id": 513, "annotations": []}
{"role": "student", "content": "one", "session_id": 5611, "sequence_id": 514, "annotations": []}
{"role": "student", "content": "because", "session_id": 5611, "sequence_id": 515, "annotations": []}
{"role": "student", "content": "group", "session_id": 5611, "sequence_id": 516, "annotations": []}
{"role": "student", "content": "well, I, uh.", "session_id": 5611, "sequence_id": 517, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 5611, "sequence_id": 518, "annotations": []}
{"role": "student", "content": "working", "session_id": 5611, "sequence_id": 519, "annotations": []}
{"role": "student", "content": "OK", "session_id": 5611, "sequence_id": 520, "annotations": []}
{"role": "student", "content": "I'm correct", "session_id": 5611, "sequence_id": 521, "annotations": []}
{"role": "student", "content": "Mm.", "session_id": 5611, "sequence_id": 522, "annotations": []}
{"role": "student", "content": "You can do the last part for me.", "session_id": 5611, "sequence_id": 523, "annotations": []}
{"role": "volunteer", "content": "Could you work on the board?", "session_id": 5611, "sequence_id": 524, "annotations": []}
{"role": "student", "content": "See, I'm number 4.", "session_id": 5611, "sequence_id": 525, "annotations": []}
{"role": "student", "content": "84 is the path to.", "session_id": 5611, "sequence_id": 526, "annotations": []}
{"role": "student", "content": "dress", "session_id": 5611, "sequence_id": 527, "annotations": []}
{"role": "student", "content": "97", "session_id": 5611, "sequence_id": 528, "annotations": []}
{"role": "student", "content": "85 to", "session_id": 5611, "sequence_id": 529, "annotations": []}
{"role": "student", "content": "973.", "session_id": 5611, "sequence_id": 530, "annotations": []}
{"role": "student", "content": "that uh", "session_id": 5611, "sequence_id": 531, "annotations": []}
{"role": "student", "content": "375.", "session_id": 5611, "sequence_id": 532, "annotations": []}
{"role": "student", "content": "0, what's the.", "session_id": 5611, "sequence_id": 533, "annotations": []}
{"role": "student", "content": "still.", "session_id": 5611, "sequence_id": 534, "annotations": []}
{"role": "student", "content": "so", "session_id": 5611, "sequence_id": 535, "annotations": []}
{"role": "student", "content": "express", "session_id": 5611, "sequence_id": 536, "annotations": []}
{"role": "student", "content": "Duplicity of 3,", "session_id": 5611, "sequence_id": 537, "annotations": []}
{"role": "student", "content": "3", "session_id": 5611, "sequence_id": 538, "annotations": []}
{"role": "student", "content": "Oh, sorry.", "session_id": 5611, "sequence_id": 539, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 5611, "sequence_id": 540, "annotations": []}
{"role": "student", "content": "You have 2 eggs", "session_id": 5611, "sequence_id": 541, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 5611, "sequence_id": 542, "annotations": []}
{"role": "student", "content": "are questions like", "session_id": 5611, "sequence_id": 543, "annotations": []}
{"role": "student", "content": "I did number one for but we can upload a new 2 and 3.", "session_id": 5611, "sequence_id": 544, "annotations": []}
{"role": "student", "content": "tier. I'm tired. I need a new", "session_id": 5611, "sequence_id": 545, "annotations": []}
{"role": "volunteer", "content": "Could you work on the board cause i cant rly see what ur doing", "session_id": 5611, "sequence_id": 546, "annotations": []}
{"role": "student", "content": "um", "session_id": 5611, "sequence_id": 547, "annotations": []}
{"role": "student", "content": "right", "session_id": 5611, "sequence_id": 548, "annotations": []}
{"role": "student", "content": "here", "session_id": 5611, "sequence_id": 549, "annotations": []}
{"role": "student", "content": "Wow", "session_id": 5611, "sequence_id": 550, "annotations": []}
{"role": "student", "content": "Let's", "session_id": 5611, "sequence_id": 551, "annotations": []}
{"role": "student", "content": "voice", "session_id": 5611, "sequence_id": 552, "annotations": []}
{"role": "student", "content": "s", "session_id": 5611, "sequence_id": 553, "annotations": []}
{"role": "student", "content": "Could you work on the board? OK, I will, I will.", "session_id": 5611, "sequence_id": 554, "annotations": []}
{"role": "student", "content": "Or the first and last part, you don't really need to be working 2 and 3 is the one that you really need to be prioritizing on though.", "session_id": 5611, "sequence_id": 555, "annotations": []}
{"role": "student", "content": "have", "session_id": 5611, "sequence_id": 556, "annotations": []}
{"role": "student", "content": "uh", "session_id": 5611, "sequence_id": 557, "annotations": []}
{"role": "student", "content": "one", "session_id": 5611, "sequence_id": 558, "annotations": []}
{"role": "student", "content": "I", "session_id": 5611, "sequence_id": 559, "annotations": []}
{"role": "student", "content": "39", "session_id": 5611, "sequence_id": 560, "annotations": []}
{"role": "student", "content": "square root of 14 is 7.", "session_id": 5611, "sequence_id": 561, "annotations": []}
{"role": "student", "content": "and 7 and 2.", "session_id": 5611, "sequence_id": 562, "annotations": []}
{"role": "student", "content": "14. So the number one is 14.", "session_id": 5611, "sequence_id": 563, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 5611, "sequence_id": 564, "annotations": []}
{"role": "student", "content": "for the last", "session_id": 5611, "sequence_id": 565, "annotations": []}
{"role": "student", "content": "last", "session_id": 5611, "sequence_id": 566, "annotations": []}
{"role": "student", "content": "the", "session_id": 5611, "sequence_id": 567, "annotations": []}
{"role": "student", "content": "escape. Number 4 is 96. So if you ask me how I get 96. I just substituted the ax with the 4.", "session_id": 5611, "sequence_id": 568, "annotations": []}
{"role": "student", "content": "I'm gonna do the number", "session_id": 5611, "sequence_id": 569, "annotations": []}
{"role": "student", "content": "X + 6 X + 6 X + 6.", "session_id": 5611, "sequence_id": 570, "annotations": []}
{"role": "student", "content": "You're gonna have to do it manually.", "session_id": 5611, "sequence_id": 571, "annotations": []}
{"role": "student", "content": "Uh, I think I shouldn't do it here.", "session_id": 5611, "sequence_id": 572, "annotations": []}
{"role": "student", "content": "You could do this on papers because", "session_id": 5611, "sequence_id": 573, "annotations": []}
{"role": "student", "content": "they're more comfortable", "session_id": 5611, "sequence_id": 574, "annotations": []}
{"role": "volunteer", "content": "its just expanding (x+3)^3", "session_id": 5611, "sequence_id": 575, "annotations": []}
{"role": "student", "content": "seats", "session_id": 5611, "sequence_id": 576, "annotations": []}
{"role": "student", "content": "x^2 + 12 x + 36.", "session_id": 5611, "sequence_id": 577, "annotations": []}
{"role": "student", "content": "We are multiplied this.", "session_id": 5611, "sequence_id": 578, "annotations": []}
{"role": "student", "content": "with", "session_id": 5611, "sequence_id": 579, "annotations": []}
{"role": "student", "content": "I know X 6 all again.", "session_id": 5611, "sequence_id": 580, "annotations": []}
{"role": "volunteer", "content": "x^3+18x^2+108x+216", "session_id": 5611, "sequence_id": 581, "annotations": []}
{"role": "student", "content": "x^3", "session_id": 5611, "sequence_id": 582, "annotations": []}
{"role": "student", "content": "X", "session_id": 5611, "sequence_id": 583, "annotations": []}
{"role": "student", "content": "36", "session_id": 5611, "sequence_id": 584, "annotations": []}
{"role": "student", "content": "uh.", "session_id": 5611, "sequence_id": 585, "annotations": []}
{"role": "student", "content": "7.", "session_id": 5611, "sequence_id": 586, "annotations": []}
{"role": "student", "content": "6 and 3.", "session_id": 5611, "sequence_id": 587, "annotations": []}
{"role": "student", "content": "26", "session_id": 5611, "sequence_id": 588, "annotations": []}
{"role": "student", "content": "1.", "session_id": 5611, "sequence_id": 589, "annotations": []}
{"role": "student", "content": "uh", "session_id": 5611, "sequence_id": 590, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 5611, "sequence_id": 591, "annotations": []}
{"role": "student", "content": "6", "session_id": 5611, "sequence_id": 592, "annotations": []}
{"role": "student", "content": "18 X square.", "session_id": 5611, "sequence_id": 593, "annotations": []}
{"role": "student", "content": "108.", "session_id": 5611, "sequence_id": 594, "annotations": []}
{"role": "student", "content": "and.", "session_id": 5611, "sequence_id": 595, "annotations": []}
{"role": "student", "content": "6 and it", "session_id": 5611, "sequence_id": 596, "annotations": []}
{"role": "student", "content": "and then we just check.", "session_id": 5611, "sequence_id": 597, "annotations": []}
{"role": "student", "content": "my answer", "session_id": 5611, "sequence_id": 598, "annotations": []}
{"role": "student", "content": "and", "session_id": 5611, "sequence_id": 599, "annotations": []}
{"role": "student", "content": "time", "session_id": 5611, "sequence_id": 600, "annotations": []}
{"role": "student", "content": "I don't seem to know where I found it from.", "session_id": 5611, "sequence_id": 601, "annotations": []}
{"role": "student", "content": "for", "session_id": 5611, "sequence_id": 602, "annotations": []}
{"role": "student", "content": "his.", "session_id": 5611, "sequence_id": 603, "annotations": []}
{"role": "student", "content": "6", "session_id": 5611, "sequence_id": 604, "annotations": []}
{"role": "student", "content": "Mhm.", "session_id": 5611, "sequence_id": 605, "annotations": []}
{"role": "student", "content": "I.", "session_id": 5611, "sequence_id": 606, "annotations": []}
{"role": "student", "content": "I", "session_id": 5611, "sequence_id": 607, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 5611, "sequence_id": 608, "annotations": []}
{"role": "volunteer", "content": "are you stuck?", "session_id": 5611, "sequence_id": 609, "annotations": []}
{"role": "student", "content": "That's just the ecstasy X 6 + X.", "session_id": 5611, "sequence_id": 610, "annotations": []}
{"role": "student", "content": "So zeros of -1, so it's X minus 1 X.", "session_id": 5611, "sequence_id": 611, "annotations": []}
{"role": "student", "content": "OK", "session_id": 5611, "sequence_id": 612, "annotations": []}
{"role": "student", "content": "-1 is.", "session_id": 5611, "sequence_id": 613, "annotations": []}
{"role": "student", "content": "one", "session_id": 5611, "sequence_id": 614, "annotations": []}
{"role": "student", "content": "x^2 minus 2 x + 1.", "session_id": 5611, "sequence_id": 615, "annotations": []}
{"role": "student", "content": "A", "session_id": 5611, "sequence_id": 616, "annotations": []}
{"role": "student", "content": "3 to 3.", "session_id": 5611, "sequence_id": 617, "annotations": []}
{"role": "student", "content": "What do we do with the 3 then", "session_id": 5611, "sequence_id": 618, "annotations": []}
{"role": "student", "content": "OK, so it's just positive", "session_id": 5611, "sequence_id": 619, "annotations": []}
{"role": "student", "content": "Mm.", "session_id": 5611, "sequence_id": 620, "annotations": []}
{"role": "volunteer", "content": "so you would do", "session_id": 5611, "sequence_id": 621, "annotations": []}
{"role": "student", "content": "I need more pain for her.", "session_id": 5611, "sequence_id": 622, "annotations": []}
{"role": "volunteer", "content": "(x-1)^2(x+3)", "session_id": 5611, "sequence_id": 623, "annotations": []}
{"role": "student", "content": "I", "session_id": 5611, "sequence_id": 624, "annotations": []}
{"role": "student", "content": "one", "session_id": 5611, "sequence_id": 625, "annotations": []}
{"role": "student", "content": "1.", "session_id": 5611, "sequence_id": 626, "annotations": []}
{"role": "student", "content": "3", "session_id": 5611, "sequence_id": 627, "annotations": []}
{"role": "student", "content": "It can be done", "session_id": 5611, "sequence_id": 628, "annotations": []}
{"role": "student", "content": "Thank you", "session_id": 5611, "sequence_id": 629, "annotations": []}
{"role": "student", "content": "I have.", "session_id": 5611, "sequence_id": 630, "annotations": []}
{"role": "volunteer", "content": "Hi! how can I help?", "session_id": 5736, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "hello", "session_id": 5736, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "plz unbadn me sa", "session_id": 5736, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "mic isues", "session_id": 5736, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "unban", "session_id": 5736, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "mic", "session_id": 5736, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "unfortunately I'm not sure if I can do that", "session_id": 5736, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "its fine nv", "session_id": 5736, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "1. polynomial function", "session_id": 5736, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "rational root theorem", "session_id": 5736, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "synthetic divison", "session_id": 5736, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "remainder theorem", "session_id": 5736, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "turning point theorem", "session_id": 5736, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "remainder", "session_id": 5736, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "Okay let's start at D Identify the correct term", "session_id": 5736, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "the factor", "session_id": 5736, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "factor ehorem", "session_id": 5736, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "lets look at D: 4 again", "session_id": 5736, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "facotr therem", "session_id": 5736, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "thats in the asn key", "session_id": 5736, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "also whats a quioent", "session_id": 5736, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "yes thats right", "session_id": 5736, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "answer", "session_id": 5736, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "whats a quioent", "session_id": 5736, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "im sorry could you repeat your question", "session_id": 5736, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "whats a quioqent", "session_id": 5736, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "oh okay", "session_id": 5736, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "its basically the answer u get after you divide something", "session_id": 5736, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "so 12/4=3 the quotient is 3", "session_id": 5736, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "ohhh", "session_id": 5736, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "do u have any questions in part D", "session_id": 5736, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "how to factor", "session_id": 5736, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "do u want to look at an equation and go through it to see how to factor", "session_id": 5736, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "yea", "session_id": 5736, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "okay", "session_id": 5736, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "scroll down on the whiteboard and we can go through an equation", "session_id": 5736, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "can u write down an equation from your work so I know what level of factoring you're working with", "session_id": 5736, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "hello", "session_id": 5722, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "hii", "session_id": 5722, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "done :)", "session_id": 5722, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "What is your question?", "session_id": 5722, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "i put up the wrong question by accident", "session_id": 5722, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "go ahead and give this a try.", "session_id": 5722, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "i don't remember how to start :| do we start with adding the equations together?", "session_id": 5722, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "You could do this most easily using substitution", "session_id": 5722, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "Those are both in the form y=", "session_id": 5722, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "so you can set them equal to each other.", "session_id": 5722, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "any questions about that?", "session_id": 5722, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "but for the equation we start of with it says y-3x=5", "session_id": 5722, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "add 3x to both sides in that equation.  If you do that, what do you get?", "session_id": 5722, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "ohhh oki", "session_id": 5722, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "i understand now", "session_id": 5722, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "Now you just have to solve the bottom equation for x.", "session_id": 5722, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "so we add like terms", "session_id": 5722, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "do you know how to solve equations with a variable?", "session_id": 5722, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "not really", "session_id": 5722, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "ok, add x to both sides.", "session_id": 5722, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "oki", "session_id": 5722, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "where did the 5x come from?", "session_id": 5722, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "so what do i do with the 5 +x?", "session_id": 5722, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "Do you have any like terms on the right side?", "session_id": 5722, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "now you don't have any x's in the equation at all", "session_id": 5722, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "3x and x are like terms, so you can add them.", "session_id": 5722, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "you have three terms on the right:  3x +5 +x", "session_id": 5722, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "the 3x and x are like terms, so you can add them.", "session_id": 5722, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "Now subtract 5 from both sides", "session_id": 5722, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "sorry, that's not right. I am not sure how you got x =2", "session_id": 5722, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "You want to divide both sides by 4, so that x will be by itseld", "session_id": 5722, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "itself", "session_id": 5722, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "Don't use the division symbol for this.", "session_id": 5722, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "yes, that's it.", "session_id": 5722, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "is that the end?", "session_id": 5722, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "That is the end!", "session_id": 5722, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "okii", "session_id": 5722, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "well i have to go now :)", "session_id": 5722, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "Have a good week.", "session_id": 5722, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "youuu too", "session_id": 5722, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "byee", "session_id": 5722, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "bye", "session_id": 5722, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "Hello!", "session_id": 5775, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "How are you!", "session_id": 5775, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "How can I help you/", "session_id": 5775, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "Hello sorry my computer works very slowly with this website. I will put the problem up", "session_id": 5775, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "In advance if their is any time I am quiet for a bit. My computer most likely froze. I am still present", "session_id": 5775, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "there*", "session_id": 5775, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "Okay no problem!", "session_id": 5775, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "Lets work on this problem", "session_id": 5775, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "Mean and Standard Deviation\nMean (\u03bc):\n\u03bc = (2 + 7 + 4 + 6 + 4 + 7) \u00f7 6 = 30 \u00f7 6 = 5\nStandard Deviation (s):\nFirst, find the squared deviations from the mean.", "session_id": 5775, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "Can you do that?", "session_id": 5775, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "Okay the stdev and mean I think I should be fine. It is the z-score I am having trouble with", "session_id": 5775, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "Mean = 5", "session_id": 5775, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "stdev = 2?", "session_id": 5775, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "Sum of squared deviations = 9 + 4 + 1 + 1 + 1 + 4 = 20\nFor a sample standard deviation:\ns = \u221a[20 \u00f7 (6-1)] = \u221a(20 \u00f7 5) = \u221a4 = 2", "session_id": 5775, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "Correct!", "session_id": 5775, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "Z-scores\nUsing the formula: z = (X - \u03bc) / s = (X - 5) / 2", "session_id": 5775, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "Can you do that?", "session_id": 5775, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "Okay", "session_id": 5775, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "For number 2 is the z-score score -1.5?", "session_id": 5775, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "My teacher often makes us find the z-score score in relation to the chart idk if I have to do it for this?", "session_id": 5775, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "That's correct!", "session_id": 5775, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "Transform to New Sample (M = 50, s = 10)", "session_id": 5775, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "Using the transformation formula: X_new = M_new + z \u00d7 s_new", "session_id": 5775, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "Should I look for the z-score score on the z chart ?", "session_id": 5775, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "Yes go ahead!", "session_id": 5775, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "Okay, would I like internally on the z-chart or externally?", "session_id": 5775, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "i am currently preparing for a math 2 Chapter 4 retake, which I failed the first time, because I do not understand the topic.", "session_id": 8458, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "Hello, are you there?", "session_id": 8458, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "Ben!!", "session_id": 8458, "sequence_id": 2, "annotations": [{"pii_type": "PERSON", "surrogate": "Ben", "start": 0, "end": 3}]}
{"role": "student", "content": "Yes hi*", "session_id": 8458, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "ohhh haha hi!", "session_id": 8458, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "did you get my message about what I needed help with?", "session_id": 8458, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "I saw this message.  But you'd need to tell me what you are working on exactly.", "session_id": 8458, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "and if you have practice problems, you can put them up.", "session_id": 8458, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "Does it have to be a specific problem or can it just be a certain concept?", "session_id": 8458, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "I can help with a concept as well, but it's just more helpful if I see a problem and can explain it.", "session_id": 8458, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "Okay let me find it", "session_id": 8458, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "should i send some of the notes i have and we can make practice problems?", "session_id": 8458, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "okay, we can start with that.", "session_id": 8458, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "thats some of them", "session_id": 8458, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "ok let me look a minute", "session_id": 8458, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "okay", "session_id": 8458, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "Which one do you want to start with?", "session_id": 8458, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "can we please begin with ex. 1 on notes 4.6", "session_id": 8458, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "i get confused with the imaginary number (i)", "session_id": 8458, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "alright yes", "session_id": 8458, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "it's confusing because it's odd.  anyways", "session_id": 8458, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "for a) it's the square root of -25.", "session_id": 8458, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "which you cant have anegative square root right, it'd be no solution?", "session_id": 8458, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "so sq rt 25 times sq rt -1", "session_id": 8458, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "there is a solution- it's an imaginary solution.", "session_id": 8458, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "Yes, normally you learn that you can't take the square root of a negative number BUT with imaginary numbers it's possible to do it.", "session_id": 8458, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "oh okay", "session_id": 8458, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "do you think youre able to come up with a problem similar for me to try and solve on my own", "session_id": 8458, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 8458, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "try those, okay?", "session_id": 8458, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "okay", "session_id": 8458, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "hmm 4 times 2 times I?", "session_id": 8458, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "should I show you?", "session_id": 8458, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "im trying to figuere out what two numbers numtiply to 18 that make a perfect square but i dont know.", "session_id": 8458, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "You would use 9 * 2, because 9 is a perfect square.", "session_id": 8458, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "no sorry", "session_id": 8458, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "I'll explain", "session_id": 8458, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "ohhh]", "session_id": 8458, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "can i please have a new problerm just like that to try again", "session_id": 8458, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "sure.", "session_id": 8458, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "ohh hm.  This isn't right but you are getting the idea better.", "session_id": 8458, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "You would be able to break down 24 into a perfect square times a number.", "session_id": 8458, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "I'll let you try a little before I tell you.", "session_id": 8458, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "the perfect square isn't 1, it's ___", "session_id": 8458, "sequence_id": 43, "annotations": []}
{"role": "student", "content": "uhhh", "session_id": 8458, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "4?", "session_id": 8458, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 8458, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "like that?", "session_id": 8458, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "yup!", "session_id": 8458, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "yay! thank you! I have to go for the night, nbut thank you soi much fir the help!!", "session_id": 8458, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "Glad I could help ! have a good night.", "session_id": 8458, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "Hi! How can I help?", "session_id": 5764, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "Hey! So i have this assignment where i have to solve for X and like figure out some angles to find which ones are alternate interior and those types of questions give me a second to show you", "session_id": 5764, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "Take your time! I'll help you once you're ready", "session_id": 5764, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "Okay, would you like to go through all of them together!", "session_id": 5764, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "yes please", "session_id": 5764, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "Alright!", "session_id": 5764, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "So we know A and B are parallel", "session_id": 5764, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "And so are C and D", "session_id": 5764, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "yea", "session_id": 5764, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "Okay so because line C is a tranversal", "session_id": 5764, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "cutting through A and B", "session_id": 5764, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "Angle 2 and angle 6 are corresponding angles, and corresponding angles are the same!", "session_id": 5764, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "making angle 6 also 40 degrees!", "session_id": 5764, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "ohh!", "session_id": 5764, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "oh cause corresponding angles are congruent to each other right?", "session_id": 5764, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "Yes!", "session_id": 5764, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "and then looking at it again now that we know what angle 6 is", "session_id": 5764, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "Lines C and D are parallel and line B is our transversal.", "session_id": 5764, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "angle 6 and angle 11 are alternate exterior angles, meaning they are congruent to each other as well!", "session_id": 5764, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "ohh", "session_id": 5764, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "Let me know if you didn't understand anything for this one!", "session_id": 5764, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "also i don\u2019t really understand how angle 6 and 11 are alternate exterior", "session_id": 5764, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "Okay let's go through it again", "session_id": 5764, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "Exterior angles are angles that are on the outside of the parallel lines", "session_id": 5764, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "Take a look at what I'm drawing", "session_id": 5764, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "looking at this, what angles are on the outside of the parralel lines", "session_id": 5764, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "OHH i understand it now", "session_id": 5764, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "great!", "session_id": 5764, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "are you ready to move on to the next question", "session_id": 5764, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "yes", "session_id": 5764, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "Take a look at angle 5 and 7", "session_id": 5764, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "What is the relationship between these angles?", "session_id": 5764, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "We can see that they both lie on a straight line", "session_id": 5764, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "uhh i forgot the name of it", "session_id": 5764, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "i know what it is i just can\u2019t remember what it\u2019s called", "session_id": 5764, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "That's alright", "session_id": 5764, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "linear pair?", "session_id": 5764, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "Yes!", "session_id": 5764, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "You can also refer to this angle as supplementary", "session_id": 5764, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "meaning they both add up 180 degrees", "session_id": 5764, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "ohh", "session_id": 5764, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "Knowing that, does anything come to mind on how you could solve for x?", "session_id": 5764, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "If not just let me know and we'll work through it", "session_id": 5764, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "maybe adding both up and equal it 180?", "session_id": 5764, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "yess!!", "session_id": 5764, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "Would you like to set up the equation and try to solve it?", "session_id": 5764, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "yea i can solve it give me a second!", "session_id": 5764, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "take your time!", "session_id": 5764, "sequence_id": 47, "annotations": []}
{"role": "student", "content": "would it be 27.5?", "session_id": 5764, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "Yes!! Good Job!", "session_id": 5764, "sequence_id": 49, "annotations": []}
{"role": "student", "content": "yay!", "session_id": 5764, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "Let's take a look at 3 now", "session_id": 5764, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "This one involves a couple of steps! It's slightly more complicated then the other two we did", "session_id": 5764, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "Look at angles 3 and 8, what is the relationship between them", "session_id": 5764, "sequence_id": 53, "annotations": []}
{"role": "student", "content": "linear?", "session_id": 5764, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "Nice try! They are same side exterior angles", "session_id": 5764, "sequence_id": 55, "annotations": []}
{"role": "student", "content": "ohhh", "session_id": 5764, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "Same side exterior angles are always supplementary!", "session_id": 5764, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "How do you think we can solve for x in this case!", "session_id": 5764, "sequence_id": 58, "annotations": []}
{"role": "student", "content": "so adding both up and equaling it 180 ?", "session_id": 5764, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "Exactly!", "session_id": 5764, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "Go ahead and solve for x", "session_id": 5764, "sequence_id": 61, "annotations": []}
{"role": "student", "content": "um so i got a decimal so im not sure if its correct but it was 17.18", "session_id": 5764, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "Yes!", "session_id": 5764, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "Quick question for clarification? Based on what your teacher has told you does this question give 2 pairs of parallel lines or just one", "session_id": 5764, "sequence_id": 64, "annotations": []}
{"role": "student", "content": "i think it\u2019s 2", "session_id": 5764, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "okay great!", "session_id": 5764, "sequence_id": 66, "annotations": []}
{"role": "student", "content": "she doesn\u2019t really explain the assignments so we are just kind of figuring it out ourselves", "session_id": 5764, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "Thats alright! We can figure it out ourselves!", "session_id": 5764, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "We got 17.18 for X, let's find angle 8 now", "session_id": 5764, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "7x-24", "session_id": 5764, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "plug the value of X into this equation to get angle 8", "session_id": 5764, "sequence_id": 71, "annotations": []}
{"role": "student", "content": "96.26?", "session_id": 5764, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "Yes!", "session_id": 5764, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "That's the measure of angle 8", "session_id": 5764, "sequence_id": 74, "annotations": []}
{"role": "volunteer", "content": "We need to find angle 9 and 10", "session_id": 5764, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "what's the relationship between angle 8 and 9", "session_id": 5764, "sequence_id": 76, "annotations": []}
{"role": "student", "content": "so angle 9 would equal 96.26 since they are congruent (alternate interior)?", "session_id": 5764, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "yes! exactly!", "session_id": 5764, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "what about angle 10?", "session_id": 5764, "sequence_id": 79, "annotations": []}
{"role": "student", "content": "uhh i\u2019m not sure on that one", "session_id": 5764, "sequence_id": 80, "annotations": []}
{"role": "volunteer", "content": "Let's take a look", "session_id": 5764, "sequence_id": 81, "annotations": []}
{"role": "volunteer", "content": "angle 8 and angle 10 are same side interior angles", "session_id": 5764, "sequence_id": 82, "annotations": []}
{"role": "volunteer", "content": "So they're supplementary", "session_id": 5764, "sequence_id": 83, "annotations": []}
{"role": "volunteer", "content": "Here's a trick my teacher taught me a while ago", "session_id": 5764, "sequence_id": 84, "annotations": []}
{"role": "volunteer", "content": "Same side interior/exterior angles are always supplementary (they both start with S)", "session_id": 5764, "sequence_id": 85, "annotations": []}
{"role": "student", "content": "this is so much easier to remember", "session_id": 5764, "sequence_id": 86, "annotations": []}
{"role": "volunteer", "content": "It is!! Now that we know they are supplementary, what do you think the measure for angle 10 is?", "session_id": 5764, "sequence_id": 87, "annotations": []}
{"role": "student", "content": "i\u2019m guessing also 96.26?", "session_id": 5764, "sequence_id": 88, "annotations": []}
{"role": "student", "content": "i feel like i might be wrong though", "session_id": 5764, "sequence_id": 89, "annotations": []}
{"role": "volunteer", "content": "Since they're supplementary, that means they add up 180", "session_id": 5764, "sequence_id": 90, "annotations": []}
{"role": "volunteer", "content": "We already know angle 8 is 96.26", "session_id": 5764, "sequence_id": 91, "annotations": []}
{"role": "volunteer", "content": "So angle 10 has to 180-96.26", "session_id": 5764, "sequence_id": 92, "annotations": []}
{"role": "student", "content": "oh wait i have to subtract 180-96.26", "session_id": 5764, "sequence_id": 93, "annotations": []}
{"role": "volunteer", "content": "Yes!!", "session_id": 5764, "sequence_id": 94, "annotations": []}
{"role": "student", "content": "so 83.74", "session_id": 5764, "sequence_id": 95, "annotations": []}
{"role": "volunteer", "content": "yess!!", "session_id": 5764, "sequence_id": 96, "annotations": []}
{"role": "volunteer", "content": "let's take a look at 4 now", "session_id": 5764, "sequence_id": 97, "annotations": []}
{"role": "volunteer", "content": "I want you to try solving it, and if you get stuck let me know and I'll help you", "session_id": 5764, "sequence_id": 98, "annotations": []}
{"role": "student", "content": "Okay!", "session_id": 5764, "sequence_id": 99, "annotations": [{"pii_type": "PERSON", "surrogate": "Okay", "start": 0, "end": 4}]}
{"role": "student", "content": "i\u2019m done so basically what i did was that since it was linear pair i added both up to equal it 180 getting me to 30 and after plugging it both in to the equations i got 70 for angle 2 110 for angle 5", "session_id": 5764, "sequence_id": 100, "annotations": []}
{"role": "volunteer", "content": "That's correct!! Good job!!", "session_id": 5764, "sequence_id": 101, "annotations": []}
{"role": "student", "content": "for question 5 i kinda did a bit earlier before i asked for help", "session_id": 5764, "sequence_id": 102, "annotations": []}
{"role": "volunteer", "content": "Thats great! Let me know what you got so we can check!", "session_id": 5764, "sequence_id": 103, "annotations": []}
{"role": "student", "content": "i got 3\u224814, 4\u224813, 7\u224810, and 8\u22489 but i\u2019m not sure", "session_id": 5764, "sequence_id": 104, "annotations": []}
{"role": "volunteer", "content": "That's correct but we have a few more!", "session_id": 5764, "sequence_id": 105, "annotations": []}
{"role": "volunteer", "content": "If you look at line C as the transversal, we have 2 and 7 as alternate interior angles too! And it also mentions that in question 6", "session_id": 5764, "sequence_id": 106, "annotations": []}
{"role": "volunteer", "content": "We already found 5, there's 3 more, let me know once you have them", "session_id": 5764, "sequence_id": 107, "annotations": []}
{"role": "student", "content": "ok!", "session_id": 5764, "sequence_id": 108, "annotations": []}
{"role": "student", "content": "i got 11\u224814, 16\u22489, and 4\u22485", "session_id": 5764, "sequence_id": 109, "annotations": []}
{"role": "volunteer", "content": "Yes!! now we have 8 in total!", "session_id": 5764, "sequence_id": 110, "annotations": []}
{"role": "volunteer", "content": "You're doing great!", "session_id": 5764, "sequence_id": 111, "annotations": []}
{"role": "volunteer", "content": "Let's look at question 6 now", "session_id": 5764, "sequence_id": 112, "annotations": []}
{"role": "volunteer", "content": "They are alternate interior angles", "session_id": 5764, "sequence_id": 113, "annotations": []}
{"role": "volunteer", "content": "Knowing that what do you think the relationship between the two", "session_id": 5764, "sequence_id": 114, "annotations": []}
{"role": "student", "content": "they would both equal to each other?", "session_id": 5764, "sequence_id": 115, "annotations": []}
{"role": "volunteer", "content": "Yes!!", "session_id": 5764, "sequence_id": 116, "annotations": []}
{"role": "volunteer", "content": "Try solving this question, I'll be here to help if you get stuck or don't undersand", "session_id": 5764, "sequence_id": 117, "annotations": []}
{"role": "student", "content": "ok!", "session_id": 5764, "sequence_id": 118, "annotations": []}
{"role": "student", "content": "i\u2019m having a bit of trouble trying to solve it can you help me?", "session_id": 5764, "sequence_id": 119, "annotations": []}
{"role": "volunteer", "content": "Yes of course!", "session_id": 5764, "sequence_id": 120, "annotations": []}
{"role": "student", "content": "i made it to x^2-x-24=0 but that\u2019s where i got stuck on", "session_id": 5764, "sequence_id": 121, "annotations": []}
{"role": "volunteer", "content": "I see okay", "session_id": 5764, "sequence_id": 122, "annotations": []}
{"role": "volunteer", "content": "Now we have to factor it", "session_id": 5764, "sequence_id": 123, "annotations": []}
{"role": "volunteer", "content": "but it seems that its not factorable by whole numbers", "session_id": 5764, "sequence_id": 124, "annotations": []}
{"role": "volunteer", "content": "we need to use the quadratic formula", "session_id": 5764, "sequence_id": 125, "annotations": []}
{"role": "volunteer", "content": "have you learned that yet?", "session_id": 5764, "sequence_id": 126, "annotations": []}
{"role": "student", "content": "yea i learned it last year but i remember very briefly i think if i have the formula i can solve it", "session_id": 5764, "sequence_id": 127, "annotations": []}
{"role": "volunteer", "content": "Try using this formula and let me know if you get an answer!", "session_id": 5764, "sequence_id": 128, "annotations": []}
{"role": "student", "content": "ok!", "session_id": 5764, "sequence_id": 129, "annotations": []}
{"role": "student", "content": "for the positive one i got 5.4 and for the negative one i got -4.4", "session_id": 5764, "sequence_id": 130, "annotations": []}
{"role": "volunteer", "content": "Yes!", "session_id": 5764, "sequence_id": 131, "annotations": []}
{"role": "volunteer", "content": "this is about angles, so we can't possibly have a negative number", "session_id": 5764, "sequence_id": 132, "annotations": []}
{"role": "volunteer", "content": "so we plug in 5.42 into the equations to get the answers!", "session_id": 5764, "sequence_id": 133, "annotations": []}
{"role": "student", "content": "oh ok!!", "session_id": 5764, "sequence_id": 134, "annotations": []}
{"role": "volunteer", "content": "Let me know once you're ready to do question 7!", "session_id": 5764, "sequence_id": 135, "annotations": []}
{"role": "student", "content": "oh yea i\u2019m ready!", "session_id": 5764, "sequence_id": 136, "annotations": []}
{"role": "volunteer", "content": "Okay, this one is also very similar to question 6", "session_id": 5764, "sequence_id": 137, "annotations": []}
{"role": "student", "content": "so then i can try to do it on my own", "session_id": 5764, "sequence_id": 138, "annotations": []}
{"role": "volunteer", "content": "Sure go ahead!", "session_id": 5764, "sequence_id": 139, "annotations": []}
{"role": "volunteer", "content": "Let me know if you get stuck", "session_id": 5764, "sequence_id": 140, "annotations": []}
{"role": "student", "content": "ok!", "session_id": 5764, "sequence_id": 141, "annotations": []}
{"role": "student", "content": "i got 3.85 for the positive one", "session_id": 5764, "sequence_id": 142, "annotations": []}
{"role": "volunteer", "content": "lets solve it together", "session_id": 5764, "sequence_id": 143, "annotations": []}
{"role": "student", "content": "ok!", "session_id": 5764, "sequence_id": 144, "annotations": []}
{"role": "student", "content": "ohh wait i forgot to plug it in", "session_id": 5764, "sequence_id": 145, "annotations": []}
{"role": "student", "content": "for angle 2= 42.64 angle 15=30.67 but i think it\u2019s still wrong", "session_id": 5764, "sequence_id": 146, "annotations": []}
{"role": "volunteer", "content": "when u solve for x you get 2 answers", "session_id": 5764, "sequence_id": 147, "annotations": []}
{"role": "volunteer", "content": "and they're both positive", "session_id": 5764, "sequence_id": 148, "annotations": []}
{"role": "student", "content": "oh actually? then i did it wrong", "session_id": 5764, "sequence_id": 149, "annotations": []}
{"role": "volunteer", "content": "basically when you plug it in you are supposed to get the same answer for both angles since they are congruent", "session_id": 5764, "sequence_id": 150, "annotations": []}
{"role": "student", "content": "oh", "session_id": 5764, "sequence_id": 151, "annotations": []}
{"role": "volunteer", "content": "if you scroll down on the whiteboard, I put the steps to solving for x", "session_id": 5764, "sequence_id": 152, "annotations": []}
{"role": "student", "content": "ohh i understand it now", "session_id": 5764, "sequence_id": 153, "annotations": []}
{"role": "volunteer", "content": "I'm not sure how your teacher would want it but since we get 2 answers maybe put both..?", "session_id": 5764, "sequence_id": 154, "annotations": []}
{"role": "volunteer", "content": "Or since angles 2 and 15 appear to be less than 90 degrees maybe you'd want to put the smaller one I'm not quite sure", "session_id": 5764, "sequence_id": 155, "annotations": []}
{"role": "volunteer", "content": "Is there anything else you want to go over?", "session_id": 5764, "sequence_id": 156, "annotations": []}
{"role": "student", "content": "no", "session_id": 5764, "sequence_id": 157, "annotations": []}
{"role": "volunteer", "content": "alright! let me know if you have any questions", "session_id": 5764, "sequence_id": 158, "annotations": []}
{"role": "student", "content": "i\u2019m finished with my assignment thank you so much you are the best and the sweetest tutor i\u2019ve had thank you again\ud83e\udd17", "session_id": 5764, "sequence_id": 159, "annotations": []}
{"role": "volunteer", "content": "No problem! Thank you! I'm glad I could help1", "session_id": 5764, "sequence_id": 160, "annotations": []}
{"role": "volunteer", "content": "Hi, how can I help you", "session_id": 8450, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "hi I have to solve word problems over probability and i'm kinda clueless", "session_id": 8450, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "Slips of paper numbered 1 through 15 are placed in a hat. In how many ways can two numbers be drawn so that the sum of the numbers is 12? assume the random selection is without replacement", "session_id": 8450, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "ok so for this one you want to think of what combinations of numbers can add up to twelve", "session_id": 8450, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "remember you can't repeat the numbers", "session_id": 8450, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "to see it visually maybe try pairing these numbers together in pairs that add to 12", "session_id": 8450, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "what do I do after", "session_id": 8450, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "so once you have how many possible pairs there are", "session_id": 8450, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "that will be your answer", "session_id": 8450, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "5?", "session_id": 8450, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "Yup! you got it", "session_id": 8450, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "are there any more problems you would like help with?", "session_id": 8450, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "yes", "session_id": 8450, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "you're taking a 20 question quiz, 12 of them are true/false, the other 8 are multiple choice (a,b, c, d). How many different possible answers are there?", "session_id": 8450, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "so for the true/false questions you have 2 answers each time, now everytime you have another one of these questions you multiply the number of possibilities by 2 again", "session_id": 8450, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "similarly for the mcq portion its 4 possible answers per question meaning each time another theres another mcq the number of possibilities mulitplies by 4", "session_id": 8450, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "would you like me to explain further?", "session_id": 8450, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "how would that look", "session_id": 8450, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "so if you continue to do what I did on the board for all twelve questions", "session_id": 8450, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "how many possible answers would you get for the true/false section", "session_id": 8450, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "Yes!", "session_id": 8450, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "yay", "session_id": 8450, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "now you just multiply that with a calc and you have your final answer", "session_id": 8450, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "do you have any more problems?", "session_id": 8450, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "yes", "session_id": 8450, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "a child returns a five volume set of books to a bookshelf. The child is not able to read and cant distinguish one volume from another. WHat is the probability that the books are shelved in the correct order?", "session_id": 8450, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "alright so for this one you want to think of each book individually at first", "session_id": 8450, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "what is the chance that book 1 is placed in the first spot", "session_id": 8450, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "wait im sorry actually theres a better way", "session_id": 8450, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "you want to think of how many possible outcomes there are: so the first book can be placed in any five spots, the second in any 4, third in 3 and so on", "session_id": 8450, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "to find the total number of possible outcomes you do something similar to the last problem and multiply each books possible outcomes together", "session_id": 8450, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "so what would the total number of possible outcomes be?", "session_id": 8450, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "120?", "session_id": 8450, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "Yes!", "session_id": 8450, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "now how many of these possible solutions is correct", "session_id": 8450, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "um 30?", "session_id": 8450, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "not quite", "session_id": 8450, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "how do I know", "session_id": 8450, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "for each book to be in its correct spot thats exactly one solution for each", "session_id": 8450, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "you can do the same thing you did to find the total possible, to find the number of favorable, mutliply the number of favorable outcomes for each book", "session_id": 8450, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "um I lowkey don't understand", "session_id": 8450, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "ok wait lemme do it on the board", "session_id": 8450, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "so 5?", "session_id": 8450, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "no remember you are multiplying not adding", "session_id": 8450, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "so if you continue to do this, multiplying by the number of correct solutions for books 3, 4, and 5", "session_id": 8450, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "what would you get", "session_id": 8450, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "oh so 1?", "session_id": 8450, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "yes!", "session_id": 8450, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "now to get the probability", "session_id": 8450, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "you divide the number of \"correct outcome\" by the number of total possible outcomes", "session_id": 8450, "sequence_id": 49, "annotations": []}
{"role": "student", "content": "1/120", "session_id": 8450, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "yess", "session_id": 8450, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "good job", "session_id": 8450, "sequence_id": 52, "annotations": []}
{"role": "student", "content": "thank you thank you", "session_id": 8450, "sequence_id": 53, "annotations": []}
{"role": "student", "content": "that's all", "session_id": 8450, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "ok great", "session_id": 8450, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "have a great day", "session_id": 8450, "sequence_id": 56, "annotations": []}
{"role": "student", "content": "you too", "session_id": 8450, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "Hi Chloe! What do you need help with?", "session_id": 8424, "sequence_id": 0, "annotations": [{"pii_type": "PERSON", "surrogate": "Chloe", "start": 3, "end": 8}]}
{"role": "student", "content": "It's finding the percent", "session_id": 8424, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "alright, just send me the problem", "session_id": 8424, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "Can I upload the picture on the whiteboard?", "session_id": 8424, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "yup, no problem!", "session_id": 8424, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "ok then", "session_id": 8424, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "lets work through it together", "session_id": 8424, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "so we know there are 28 well-done burgers and 12 medium burgers", "session_id": 8424, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "and we want to know how many of them are well done", "session_id": 8424, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "so first lets find the total number of burgers", "session_id": 8424, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "what is that?", "session_id": 8424, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "40", "session_id": 8424, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "right!", "session_id": 8424, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "and how many are well done?", "session_id": 8424, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "28", "session_id": 8424, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "right", "session_id": 8424, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "so would you agree with the statement that 28 out of the 40 burgers are well done?", "session_id": 8424, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "Yup", "session_id": 8424, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "and would you agree that this equals to the fraction 28/40?", "session_id": 8424, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "Yea", "session_id": 8424, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "ok, so if we look at the word percent, it means per one hundred (cent means 100 in Latin), so we want to find how many well done burgers there would be out of total burgers", "session_id": 8424, "sequence_id": 20, "annotations": [{"pii_type": "NRP", "surrogate": "Latin", "start": 83, "end": 88}]}
{"role": "volunteer", "content": "this means we want the denominator to equal 100 so we have to turn 40 into 100", "session_id": 8424, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "how could we do that using multiplication and division?", "session_id": 8424, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "40 can be equal to 100?", "session_id": 8424, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "no it cant, but we have to turn 40 into 100", "session_id": 8424, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "so how could we do that using multiplication and division?", "session_id": 8424, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "Im so lost", "session_id": 8424, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "ok, so are you comfortable at the point that we reached 28/40?", "session_id": 8424, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "yea", "session_id": 8424, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "ok, and we need to make it an equivalent fraction that is some number out of 100", "session_id": 8424, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "to make a percent", "session_id": 8424, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "do you know how to make fractions equal?", "session_id": 8424, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "Yea multiply by 2 if I remember correctly", "session_id": 8424, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "sometimes that works, but the main rule when making equal fractions is whatever you do to the top you also do to the bottom", "session_id": 8424, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "so lets look back at this example", "session_id": 8424, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "if I wanted to get from 40 to 100 what I could do using multiplication and division is", "session_id": 8424, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "I could divide by 4 and then multiply by 10", "session_id": 8424, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "do you agree?", "session_id": 8424, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "Yea", "session_id": 8424, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "and remember, whatever we do to the top, we also do to the bottom!", "session_id": 8424, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "so we also have to divide 28 by 4 and multiply by 10", "session_id": 8424, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "28/4 = 7, 7x10 = 70", "session_id": 8424, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "so now we can say that 28/40 = 70/100", "session_id": 8424, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "oh so we break the denominator down if it cant be turned into 100?", "session_id": 8424, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "yes, you have to find a way to make the denominator equal to 100", "session_id": 8424, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "through multiplicatino and division", "session_id": 8424, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "and whatever you do to the denominator you also have to do it to the numerator to keep the fraction equal", "session_id": 8424, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "let me show you a simple example", "session_id": 8424, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "do you agree that 1/2 = 2/4?", "session_id": 8424, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "Yup", "session_id": 8424, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "so on the bottom we are multiplying by 2, so we do the same on the top", "session_id": 8424, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "and if you think about it we are multiplying by 2/2 we are saying that 1/2 x 2/2 = 2/4. Would you agree with that?", "session_id": 8424, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "Yea", "session_id": 8424, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "and do you agree that 2/2 is equal to 1?", "session_id": 8424, "sequence_id": 53, "annotations": []}
{"role": "student", "content": "Yup", "session_id": 8424, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "and do you agree that multiplying anything by 1 keeps it the same?", "session_id": 8424, "sequence_id": 55, "annotations": []}
{"role": "student", "content": "Yea", "session_id": 8424, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "and thats what we are doing here", "session_id": 8424, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "whatever we do to the denominator", "session_id": 8424, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "we do the same to the numerator", "session_id": 8424, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "so going back to our question", "session_id": 8424, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "do you agree that 28/40 = 70/100? or is there a part you still don't get", "session_id": 8424, "sequence_id": 61, "annotations": []}
{"role": "student", "content": "I see it a little better now", "session_id": 8424, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "just to summarise", "session_id": 8424, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "what we have done is divided by 4 and multiplied by 10 to make 40 into 100", "session_id": 8424, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "since percent means per one hundred", "session_id": 8424, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "and then whatever we do to the denominator we do the same to the numerator", "session_id": 8424, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "and so 28/4 x 10 = 70", "session_id": 8424, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "so 28/40 = 70/100", "session_id": 8424, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "do you see that?", "session_id": 8424, "sequence_id": 69, "annotations": []}
{"role": "student", "content": "Yea", "session_id": 8424, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "alright so now we are on the last step!", "session_id": 8424, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "do yk how to turn a fraction into a percentage", "session_id": 8424, "sequence_id": 72, "annotations": []}
{"role": "student", "content": "Yea", "session_id": 8424, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "ok, so what is 70/100 as a percent?", "session_id": 8424, "sequence_id": 74, "annotations": []}
{"role": "student", "content": "70%", "session_id": 8424, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "right! thats the answer", "session_id": 8424, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "you just have to keep practicing how to make the denominator 100", "session_id": 8424, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "and then doing the same thing on the numerator and denominator", "session_id": 8424, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "and you've mastered it!", "session_id": 8424, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "ok have a good rest of ur day! enjoy solving more problems", "session_id": 8424, "sequence_id": 80, "annotations": []}
{"role": "student", "content": "Mr. Jones too", "session_id": 8424, "sequence_id": 81, "annotations": [{"pii_type": "PERSON", "surrogate": "Mr. Jones", "start": 0, "end": 9}]}
{"role": "volunteer", "content": "hey Sam", "session_id": 8429, "sequence_id": 0, "annotations": [{"pii_type": "PERSON", "surrogate": "Sam", "start": 4, "end": 7}]}
{"role": "student", "content": "1. 2. 3. let's go", "session_id": 8429, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "hey", "session_id": 8429, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "what help do you need ?", "session_id": 8429, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "this", "session_id": 8429, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "so yea", "session_id": 8429, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "e", "session_id": 8429, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "e", "session_id": 8429, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "e", "session_id": 8429, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "e", "session_id": 8429, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "Sam", "session_id": 8429, "sequence_id": 10, "annotations": [{"pii_type": "PERSON", "surrogate": "Sam", "start": 0, "end": 3}]}
{"role": "volunteer", "content": "okay, 6 multiply 2", "session_id": 8429, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "then divide by 3", "session_id": 8429, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "Hi how are you?", "session_id": 8462, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "Hi Alex", "session_id": 8462, "sequence_id": 1, "annotations": [{"pii_type": "PERSON", "surrogate": "Alex", "start": 3, "end": 7}]}
{"role": "student", "content": "Hello", "session_id": 8462, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "How are you?", "session_id": 8462, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "im good how are you", "session_id": 8462, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "Good thank you", "session_id": 8462, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "ok so u need help with this question", "session_id": 8462, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "do u know what apr is?", "session_id": 8462, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "Can you help me with this problem?", "session_id": 8462, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "Yes interest rate", "session_id": 8462, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "yeah, the annual interest rate", "session_id": 8462, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 8462, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "so if the yearly rate is 14%, can u try to think of how we get the monthly rate?", "session_id": 8462, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "no worries if ur unsure, but try first", "session_id": 8462, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "0.14?", "session_id": 8462, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "ok so 0.14 is just 14% as a decimal", "session_id": 8462, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "ok", "session_id": 8462, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "but it's for the year, and we need for the month. there are 12 months in a year, so it is 1/12th of the yearly rate", "session_id": 8462, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "does that make sense", "session_id": 8462, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "yes", "session_id": 8462, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "ok so can u tell me what the monthly rate is now?", "session_id": 8462, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "here i put it up on screen", "session_id": 8462, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "ok its 0.0.0117", "session_id": 8462, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "good", "session_id": 8462, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "thank u", "session_id": 8462, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "ok so do u remember the formula for interest?", "session_id": 8462, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "no i dont", "session_id": 8462, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "ok it's fine", "session_id": 8462, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "so usually theres a pretty complicated formula", "session_id": 8462, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "ok", "session_id": 8462, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "but i feel like they wouldn't use that formula here", "session_id": 8462, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "what grade r u in?", "session_id": 8462, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "Lincoln High", "session_id": 8462, "sequence_id": 32, "annotations": [{"pii_type": "SCHOOL", "surrogate": "Lincoln High", "start": 0, "end": 12}]}
{"role": "student", "content": "Lincoln High", "session_id": 8462, "sequence_id": 33, "annotations": [{"pii_type": "SCHOOL", "surrogate": "Lincoln High", "start": 0, "end": 12}]}
{"role": "volunteer", "content": "oh ok", "session_id": 8462, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "oh same", "session_id": 8462, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "what math class is this for?", "session_id": 8462, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "like whats the name of the math class", "session_id": 8462, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "Jackson High yet", "session_id": 8462, "sequence_id": 38, "annotations": [{"pii_type": "SCHOOL", "surrogate": "Jackson High", "start": 0, "end": 12}]}
{"role": "student", "content": "okay nice. its my first semester, and the class is Algebra 201", "session_id": 8462, "sequence_id": 39, "annotations": [{"pii_type": "COURSE", "surrogate": "Algebra 201", "start": 51, "end": 62}]}
{"role": "student", "content": "Northwood College 2 years", "session_id": 8462, "sequence_id": 40, "annotations": [{"pii_type": "SCHOOL", "surrogate": "Northwood College", "start": 0, "end": 17}]}
{"role": "volunteer", "content": "ok", "session_id": 8462, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "yeah hold up im just thinking about what way we would solve this since u don't have the formula", "session_id": 8462, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "im looking online for the formula", "session_id": 8462, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "do u have an answer key?", "session_id": 8462, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "I think for the simple interest its =P r t= Principal x rate x time", "session_id": 8462, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "ok yeah thats what i was thinking, that it's either simple or compound interest", "session_id": 8462, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "ok so lmk if u have an answer key so then i can figure out which formula they used by looking at the answer", "session_id": 8462, "sequence_id": 47, "annotations": []}
{"role": "student", "content": "and for the compound interest formula(once a year) A=P x (1+APR/n)^ny", "session_id": 8462, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "but otherwise we can just do simple interest first", "session_id": 8462, "sequence_id": 49, "annotations": []}
{"role": "student", "content": "okay", "session_id": 8462, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "aight this is hella annoying cuz i really don't know about the class ur in but ok lets just start it", "session_id": 8462, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "wait", "session_id": 8462, "sequence_id": 52, "annotations": []}
{"role": "student", "content": "this is formula i think", "session_id": 8462, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "the number in that image u showed don't match up to the numbers you typed out", "session_id": 8462, "sequence_id": 54, "annotations": []}
{"role": "student", "content": "this is an example", "session_id": 8462, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "ok lets just use this formula then", "session_id": 8462, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "so all we have to do is just plug in the values", "session_id": 8462, "sequence_id": 57, "annotations": []}
{"role": "student", "content": "okay thanks", "session_id": 8462, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "do you know what P, APR, n, Y are?", "session_id": 8462, "sequence_id": 59, "annotations": []}
{"role": "student", "content": "yes p=4400 apr 0.22 n=12 years =6", "session_id": 8462, "sequence_id": 60, "annotations": []}
{"role": "student", "content": "this is for the example", "session_id": 8462, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "ok cool", "session_id": 8462, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "what about for ur actual problem?", "session_id": 8462, "sequence_id": 63, "annotations": []}
{"role": "student", "content": "p=4200 apr=0.14 n=12  years=2", "session_id": 8462, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "yeah good", "session_id": 8462, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "so then when you plug those into this equation with a calculator what did you get?", "session_id": 8462, "sequence_id": 66, "annotations": []}
{"role": "student", "content": "let me plug them", "session_id": 8462, "sequence_id": 67, "annotations": []}
{"role": "student", "content": "just one min", "session_id": 8462, "sequence_id": 68, "annotations": []}
{"role": "student", "content": "201.66", "session_id": 8462, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "nice", "session_id": 8462, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "i mean i got.65", "session_id": 8462, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "but yeah", "session_id": 8462, "sequence_id": 72, "annotations": []}
{"role": "student", "content": "thanks", "session_id": 8462, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "wait but that's the PMT", "session_id": 8462, "sequence_id": 74, "annotations": []}
{"role": "volunteer", "content": "oh wait yeah that's the monthly cost", "session_id": 8462, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "nvm", "session_id": 8462, "sequence_id": 76, "annotations": []}
{"role": "student", "content": "ok", "session_id": 8462, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "ok so do u think u know how to do part b?", "session_id": 8462, "sequence_id": 78, "annotations": []}
{"role": "student", "content": "i dont really have a idea", "session_id": 8462, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "ok so if we pay that much monthly, and we have to pay for 2 years, how much would we pay total? do u think u can guess", "session_id": 8462, "sequence_id": 80, "annotations": []}
{"role": "student", "content": "Below is an example", "session_id": 8462, "sequence_id": 81, "annotations": []}
{"role": "volunteer", "content": "yeah", "session_id": 8462, "sequence_id": 82, "annotations": []}
{"role": "student", "content": "monthly payment multiplied by 24 cuz there is 24 months in 2 years", "session_id": 8462, "sequence_id": 83, "annotations": []}
{"role": "volunteer", "content": "ya", "session_id": 8462, "sequence_id": 84, "annotations": []}
{"role": "student", "content": "thanks", "session_id": 8462, "sequence_id": 85, "annotations": []}
{"role": "volunteer", "content": "what did u ge", "session_id": 8462, "sequence_id": 86, "annotations": []}
{"role": "student", "content": "4839.84", "session_id": 8462, "sequence_id": 87, "annotations": []}
{"role": "volunteer", "content": "i got.70", "session_id": 8462, "sequence_id": 88, "annotations": []}
{"role": "volunteer", "content": "think it's cuz you rounded it", "session_id": 8462, "sequence_id": 89, "annotations": []}
{"role": "volunteer", "content": "i didn't round so mine is more accurate but it's fine", "session_id": 8462, "sequence_id": 90, "annotations": []}
{"role": "student", "content": "okay cuz i got.66 and i think you got.65", "session_id": 8462, "sequence_id": 91, "annotations": []}
{"role": "student", "content": "yeah i understand", "session_id": 8462, "sequence_id": 92, "annotations": []}
{"role": "student", "content": "thanks again", "session_id": 8462, "sequence_id": 93, "annotations": []}
{"role": "volunteer", "content": "yup", "session_id": 8462, "sequence_id": 94, "annotations": []}
{"role": "volunteer", "content": "so what percent of our total payment is interest", "session_id": 8462, "sequence_id": 95, "annotations": []}
{"role": "volunteer", "content": "do u have an idea of how to get this?", "session_id": 8462, "sequence_id": 96, "annotations": []}
{"role": "student", "content": "i think we need to divide right?", "session_id": 8462, "sequence_id": 97, "annotations": []}
{"role": "volunteer", "content": "yea", "session_id": 8462, "sequence_id": 98, "annotations": []}
{"role": "volunteer", "content": "what do u think we have to divide?", "session_id": 8462, "sequence_id": 99, "annotations": []}
{"role": "student", "content": "4200", "session_id": 8462, "sequence_id": 100, "annotations": []}
{"role": "volunteer", "content": "no", "session_id": 8462, "sequence_id": 101, "annotations": []}
{"role": "student", "content": "okay i think switch", "session_id": 8462, "sequence_id": 102, "annotations": []}
{"role": "volunteer", "content": "we need to know our interest relative to the total payment", "session_id": 8462, "sequence_id": 103, "annotations": []}
{"role": "student", "content": "4200/4839.84?", "session_id": 8462, "sequence_id": 104, "annotations": []}
{"role": "volunteer", "content": "not our total vs principal", "session_id": 8462, "sequence_id": 105, "annotations": []}
{"role": "volunteer", "content": "neither", "session_id": 8462, "sequence_id": 106, "annotations": []}
{"role": "student", "content": "okay my bad", "session_id": 8462, "sequence_id": 107, "annotations": []}
{"role": "volunteer", "content": "you're comparing total and principal", "session_id": 8462, "sequence_id": 108, "annotations": []}
{"role": "volunteer", "content": "we need to compare total with interest only", "session_id": 8462, "sequence_id": 109, "annotations": []}
{"role": "volunteer", "content": "how would we do that?", "session_id": 8462, "sequence_id": 110, "annotations": []}
{"role": "student", "content": "I don't have any idea", "session_id": 8462, "sequence_id": 111, "annotations": []}
{"role": "volunteer", "content": "ok so whats our total", "session_id": 8462, "sequence_id": 112, "annotations": []}
{"role": "student", "content": "4839.84", "session_id": 8462, "sequence_id": 113, "annotations": []}
{"role": "volunteer", "content": "and whats our interest only?", "session_id": 8462, "sequence_id": 114, "annotations": []}
{"role": "student", "content": "639.84", "session_id": 8462, "sequence_id": 115, "annotations": []}
{"role": "volunteer", "content": "yup and what is this", "session_id": 8462, "sequence_id": 116, "annotations": []}
{"role": "student", "content": "639.84", "session_id": 8462, "sequence_id": 117, "annotations": []}
{"role": "volunteer", "content": "so now what do we divide", "session_id": 8462, "sequence_id": 118, "annotations": []}
{"role": "student", "content": "thats interest", "session_id": 8462, "sequence_id": 119, "annotations": []}
{"role": "student", "content": "interest/balance", "session_id": 8462, "sequence_id": 120, "annotations": []}
{"role": "student", "content": "i dont know", "session_id": 8462, "sequence_id": 121, "annotations": []}
{"role": "student", "content": "if that correct", "session_id": 8462, "sequence_id": 122, "annotations": []}
{"role": "volunteer", "content": "divide the interest by total", "session_id": 8462, "sequence_id": 123, "annotations": []}
{"role": "student", "content": "4200 right", "session_id": 8462, "sequence_id": 124, "annotations": []}
{"role": "volunteer", "content": "your interest 639.84", "session_id": 8462, "sequence_id": 125, "annotations": []}
{"role": "volunteer", "content": "total 4839.84", "session_id": 8462, "sequence_id": 126, "annotations": []}
{"role": "student", "content": "okay the total of the interest and the balance", "session_id": 8462, "sequence_id": 127, "annotations": []}
{"role": "volunteer", "content": "so get the rate by dividing it", "session_id": 8462, "sequence_id": 128, "annotations": []}
{"role": "student", "content": "0.1322", "session_id": 8462, "sequence_id": 129, "annotations": []}
{"role": "student", "content": "13.22?", "session_id": 8462, "sequence_id": 130, "annotations": []}
{"role": "volunteer", "content": "yeah good job", "session_id": 8462, "sequence_id": 131, "annotations": []}
{"role": "student", "content": "okay thanks", "session_id": 8462, "sequence_id": 132, "annotations": []}
{"role": "volunteer", "content": "ok so those were the 3 parts of this question", "session_id": 8462, "sequence_id": 133, "annotations": []}
{"role": "volunteer", "content": "anything else?", "session_id": 8462, "sequence_id": 134, "annotations": []}
{"role": "student", "content": "i understand the mathmatical problem but i have difficulty understanding what the question is asking. but thank you so much for your help and the time", "session_id": 8462, "sequence_id": 135, "annotations": []}
{"role": "volunteer", "content": "oh ok", "session_id": 8462, "sequence_id": 136, "annotations": []}
{"role": "volunteer", "content": "just rethink the steps we took to solve", "session_id": 8462, "sequence_id": 137, "annotations": []}
{"role": "volunteer", "content": "good job", "session_id": 8462, "sequence_id": 138, "annotations": []}
{"role": "student", "content": "thank you so much", "session_id": 8462, "sequence_id": 139, "annotations": []}
{"role": "volunteer", "content": "ok bye", "session_id": 8462, "sequence_id": 140, "annotations": []}
{"role": "student", "content": "have a great night", "session_id": 8462, "sequence_id": 141, "annotations": []}
{"role": "volunteer", "content": "hello", "session_id": 8473, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "hello", "session_id": 8473, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "I was wondering if you could help me with polynomial long division?", "session_id": 8473, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "ok.  do you have a problem that you are working on?", "session_id": 8473, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "Yeah. Would you like me write it on the board?", "session_id": 8473, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "sure", "session_id": 8473, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "Sorry my computer is being really slow about this so I'll try to type it out.", "session_id": 8473, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "(x^3 + 2 x^2 - 5x + 16) divided by (x-4)", "session_id": 8473, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "Do you think you could help me with it?", "session_id": 8473, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "are you using regular long division or synthetic division?", "session_id": 8473, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "Long division, that is the one I struggle with.", "session_id": 8473, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "You aren't able to write on the board, is that right?", "session_id": 8473, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "I mean i can it just lags a lot causing me to mess up the writing.", "session_id": 8473, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "What would be the first entry in the quotient, do you think?", "session_id": 8473, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "I think i would have to start off by doing x^2 that way when i multiply it by x-4 it will get me x^3 - 4x^2", "session_id": 8473, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "right.", "session_id": 8473, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "so then what do you do next?", "session_id": 8473, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "I would do x^3-x^3 - 4x^2 and since 4 times x^2 is 4x2 I need to do 2x2 + 4x2 since were subtracting and it is a negative number it turns it into addition", "session_id": 8473, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "x^3-x^3 = 0 and 4x2 + 2x2 = 6x2", "session_id": 8473, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "The I bring down the -5x", "session_id": 8473, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "I put up top + 6x that when when i multiply I get 6x2", "session_id": 8473, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "and 6 times 4 = 24", "session_id": 8473, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "That's not quite right", "session_id": 8473, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "negative?", "session_id": 8473, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "Yes, because it is 6x times -4", "session_id": 8473, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "Oh! Ok", "session_id": 8473, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "so then 6x2 - 6x2 = 0", "session_id": 8473, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "and would the negative 24 turn into a positive? since were subtracting?", "session_id": 8473, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 8473, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "Turning it into 19x", "session_id": 8473, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "Bring down the 16", "session_id": 8473, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "Could I do 19x on top? Or do I do something else?", "session_id": 8473, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "try it", "session_id": 8473, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "Sorry not 19x but 19", "session_id": 8473, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "I assume that you are also doing this on paper.", "session_id": 8473, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 8473, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "I would have a remainder of 92", "session_id": 8473, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "I didn't get what you are doing.", "session_id": 8473, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "I did 19x - 19x", "session_id": 8473, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "got 0", "session_id": 8473, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "19 times -4 got me76", "session_id": 8473, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "16 plus 76 is 92", "session_id": 8473, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "You mean -76, right?", "session_id": 8473, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "Yes but it turns into a positive because we are subtracting", "session_id": 8473, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "ok, that's right", "session_id": 8473, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "So i end up with (x-4) (x^2 = 6x = 19) = 92?", "session_id": 8473, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "opps ignore the =s", "session_id": 8473, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "They are meant to be +s", "session_id": 8473, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "Yes, you can write it either way.", "session_id": 8473, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "Ok", "session_id": 8473, "sequence_id": 49, "annotations": []}
{"role": "student", "content": "I have one more problem if that is ok?", "session_id": 8473, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "Same kind of problem?", "session_id": 8473, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 8473, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "Perhaps you should do it on paper and let me know what you get.", "session_id": 8473, "sequence_id": 53, "annotations": []}
{"role": "student", "content": "Ok", "session_id": 8473, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "what is the problem?", "session_id": 8473, "sequence_id": 55, "annotations": []}
{"role": "student", "content": "(3x +2) (9x4 + 3x2 + 4x2 + 7x +2)", "session_id": 8473, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "Oh, you are multiplying this time, is that right?", "session_id": 8473, "sequence_id": 57, "annotations": []}
{"role": "student", "content": "Oh I am sorry it is division I forgot to put that", "session_id": 8473, "sequence_id": 58, "annotations": []}
{"role": "student", "content": "(3x + 2) then divide it by the other number", "session_id": 8473, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "no, you don't mean that", "session_id": 8473, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "Surely, 3x+2 is the divisor, not the other way around", "session_id": 8473, "sequence_id": 61, "annotations": []}
{"role": "student", "content": "The (3x + 2) is on the outside yes", "session_id": 8473, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "Yes, this term is called the divisor.  go ahead and give it a try.", "session_id": 8473, "sequence_id": 63, "annotations": []}
{"role": "student", "content": "Ok", "session_id": 8473, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "I think you made an error writing it.", "session_id": 8473, "sequence_id": 65, "annotations": []}
{"role": "student", "content": "That is what the problem says", "session_id": 8473, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "3x^3 probably, not 3x^3", "session_id": 8473, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "not 3x^2", "session_id": 8473, "sequence_id": 68, "annotations": []}
{"role": "student", "content": "Oh yeah sorry I thought you wrote on the board what I wrote", "session_id": 8473, "sequence_id": 69, "annotations": []}
{"role": "student", "content": "Sorry", "session_id": 8473, "sequence_id": 70, "annotations": []}
{"role": "student", "content": "I got (3x^3 + x^2 + 2x + 1) (3x + 2)", "session_id": 8473, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "Almost. You have a sign wrong", "session_id": 8473, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "Do you see it?", "session_id": 8473, "sequence_id": 73, "annotations": []}
{"role": "student", "content": "No, I am trying to look for it", "session_id": 8473, "sequence_id": 74, "annotations": []}
{"role": "student", "content": "3x^3 - -6x^3... ?", "session_id": 8473, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 8473, "sequence_id": 76, "annotations": []}
{"role": "student", "content": "Oh", "session_id": 8473, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "Any questions about that?", "session_id": 8473, "sequence_id": 78, "annotations": []}
{"role": "student", "content": "No, I understand it I think I just need to pay more attention to my positives and my negatives", "session_id": 8473, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "Doesn't everybody1", "session_id": 8473, "sequence_id": 80, "annotations": []}
{"role": "student", "content": "Thank you so much though! I undertsand it a lot better now!", "session_id": 8473, "sequence_id": 81, "annotations": []}
{"role": "volunteer", "content": "Yes, I think you do.", "session_id": 8473, "sequence_id": 82, "annotations": []}
{"role": "volunteer", "content": "Have a good evening", "session_id": 8473, "sequence_id": 83, "annotations": []}
{"role": "student", "content": "You too", "session_id": 8473, "sequence_id": 84, "annotations": []}
{"role": "student", "content": "hi", "session_id": 8504, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "Hi Alex.", "session_id": 8504, "sequence_id": 1, "annotations": [{"pii_type": "PERSON", "surrogate": "Alex", "start": 3, "end": 7}]}
{"role": "volunteer", "content": "How are you doing?", "session_id": 8504, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "I'm doing good. How about you?", "session_id": 8504, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "Great, thanks!  Would you like to upload a pic of the problem you're working on?", "session_id": 8504, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "today all I need is for you to check my answer to 1 question", "session_id": 8504, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "I had to find the number of lines of symmetry for the picture on the board. I think it's 2", "session_id": 8504, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "i see a couple more.  do you want to draw the lines you found?", "session_id": 8504, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "good.  now can you try to find a couple more?", "session_id": 8504, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "looks good to me :-)", "session_id": 8504, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "so there is 4", "session_id": 8504, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 8504, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "ok. I was unsure because when I used AI to check it said \"this particular bubble-style \u201cx\u201d does not have diagonal lines of symmetry. Because of its rounded, stylized form, the arms aren\u2019t perfectly straight or identical at 45\u00b0 angles, so the diagonals don\u2019t produce mirror halves.\"", "session_id": 8504, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "hmmm.  you can always print the picture, cut out the x, fold it in the 4 ways, and see if they perfectly line up on each other.", "session_id": 8504, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "maybe AI is trying to be to extremely exact, and that is probably not expected from your teacher.", "session_id": 8504, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "looks like you're away, so good luck.  it'll be interesting to see what your teacher says", "session_id": 8504, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "Hello! What's up today", "session_id": 8514, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "how do I solve this?", "session_id": 8514, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "So you're going to want to multiply all of the numerators, and multiply all of the denominators", "session_id": 8514, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "ok", "session_id": 8514, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "That's how you multiply with fractions! Want to try?", "session_id": 8514, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "yes", "session_id": 8514, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "Put your answer in the chat or you can write it out on the board whichever you want", "session_id": 8514, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "sorry I am not in a place where I can have the camera on.", "session_id": 8514, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "No worries I meant you can write the answer in here we aren't using microphone", "session_id": 8514, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "ok", "session_id": 8514, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "-5 x 3 x 4 and then 12 x 7 x 9", "session_id": 8514, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "95/208", "session_id": 8514, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "What steps did you take for that answer?", "session_id": 8514, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "So do I multptly it all to get a comom demnontar?", "session_id": 8514, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "So, for multiplication with fractions we don't need a common denominator! That's only for addition and subtraction of fractions", "session_id": 8514, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "oh ok", "session_id": 8514, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "So for this problem, since we are multiplying fractions, we can just multiply the numerators and denominators seperately", "session_id": 8514, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "ok", "session_id": 8514, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "how do we do that?", "session_id": 8514, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "I can show on the white board", "session_id": 8514, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "ok", "session_id": 8514, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "Multiply those numbers top, then bottom!", "session_id": 8514, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "60/756", "session_id": 8514, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "Good! But remember, the 60 is negative so -60", "session_id": 8514, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "Because the first fraction is -5/12, the negative only goes with the 5, so when you multiply it's -5", "session_id": 8514, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "thanks", "session_id": 8514, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "So now we have to simplify the fraction", "session_id": 8514, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "sorry have to go know y moms here to pick me up bye.", "session_id": 8514, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "Sounds good! No worries, have a nice day/night.", "session_id": 8514, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "bye", "session_id": 8514, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "I need help with this.\nThe water slides have 31 temporary employees and 31 permanent employees. What percentage of the employees at the water slides are temporary?\n\nWrite your answer using a percent sign (%).", "session_id": 8544, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "Ok so let's start by finding the total number of employees", "session_id": 8544, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "so What would that be?", "session_id": 8544, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "31", "session_id": 8544, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "Ok so it has 31 temporary employees and 31 permanent ones", "session_id": 8544, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "so 31+31 is?", "session_id": 8544, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "62", "session_id": 8544, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "Yes ok", "session_id": 8544, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "so that would be the total employees", "session_id": 8544, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "and then the question asks for the temporary employees", "session_id": 8544, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "so we can do a fraction", "session_id": 8544, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "so what would go on top?", "session_id": 8544, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "if we are only looking at temporary employees", "session_id": 8544, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "31", "session_id": 8544, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "yes exactly", "session_id": 8544, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "if we simplify the fraction", "session_id": 8544, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "what would that be", "session_id": 8544, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "6/10", "session_id": 8544, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "Hmm not quite", "session_id": 8544, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "I guess if you look at 31/62", "session_id": 8544, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "isn't 31 just half of 62?", "session_id": 8544, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "si", "session_id": 8544, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "Ok so the simplified version of the fraction would therefore be 1/2", "session_id": 8544, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "right?", "session_id": 8544, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "si", "session_id": 8544, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "So in percentage, what is 1/2", "session_id": 8544, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "si", "session_id": 8544, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "50%", "session_id": 8544, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "exactly", "session_id": 8544, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "Do you have other questions", "session_id": 8544, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "no but thank you anyway", "session_id": 8544, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "Ok no problem", "session_id": 8544, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "bye bye", "session_id": 8544, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "Hi! What can I help you with?", "session_id": 8574, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "ayuda con el 62,5% de 16", "session_id": 8574, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "Hello", "session_id": 8574, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "Hola", "session_id": 8574, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "Ok, I can help you with that", "session_id": 8574, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "Ok what is 62.5% in decimal form?", "session_id": 8574, "sequence_id": 5, "annotations": []}
{"role": "student", "content": ".625", "session_id": 8574, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "Ok and then you can multiply that by 16", "session_id": 8574, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "Let me know once you have finished that", "session_id": 8574, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "10", "session_id": 8574, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "Ok", "session_id": 8574, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "So 62.5% of 16 is ?", "session_id": 8574, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "10", "session_id": 8574, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "Yes!", "session_id": 8574, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "Do you have any other questions?", "session_id": 8574, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "yeah I also need help with this 52.5%\t of 40 =", "session_id": 8574, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "Ok same thing", "session_id": 8574, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "what is 52.5 in decimal form", "session_id": 8574, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "?", "session_id": 8574, "sequence_id": 18, "annotations": []}
{"role": "student", "content": ".525", "session_id": 8574, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "Yes", "session_id": 8574, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "And then multiply 0.525 by 40", "session_id": 8574, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "which is?", "session_id": 8574, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "21", "session_id": 8574, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "Yes", "session_id": 8574, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "so 52.5% of 40 is 21", "session_id": 8574, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "Any other questions?", "session_id": 8574, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "no but thank you anyway", "session_id": 8574, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "Ok no problem!", "session_id": 8574, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "bye bye", "session_id": 8574, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "Have a nice day!", "session_id": 8574, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "hello", "session_id": 8668, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "Hi! I have a specific equation that I cannot figure out. I was wondering if you can help me with it", "session_id": 8668, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "ok sure", "session_id": 8668, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "I think that this is a linear function", "session_id": 8668, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "ok", "session_id": 8668, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "so the 720000 part is right", "session_id": 8668, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "that is the initial revenue before the price increase", "session_id": 8668, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "for each dollar or x they 3500 customers", "session_id": 8668, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "ah", "session_id": 8668, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "wait", "session_id": 8668, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "the price is increasing too", "session_id": 8668, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "please give me a moment I'm working it out", "session_id": 8668, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "ok no problem", "session_id": 8668, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "are you allowed to use a calculator for this", "session_id": 8668, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "yes", "session_id": 8668, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "ok a couple more moments", "session_id": 8668, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "I believe I got it", "session_id": 8668, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "ok so first I found 5 point", "session_id": 8668, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "(0,720000) is the first point right", "session_id": 8668, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "60000 people at 12 each", "session_id": 8668, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "Is it supposed to be in point formula?", "session_id": 8668, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "no what I did is found a couple of points and then used the list feature on my calc", "session_id": 8668, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "oh ok", "session_id": 8668, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "unfortunately I think that the quad regression is not what the question is looking for", "session_id": 8668, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "the numbers are too precise", "session_id": 8668, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "how were you able to find b", "session_id": 8668, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "I did like (12+x)(60,000-3,500x)\\", "session_id": 8668, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "oh what nvm", "session_id": 8668, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "I typed a number in wrong and now I have the answer", "session_id": 8668, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "sorry for the trouble", "session_id": 8668, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "so you know how I found the points right", "session_id": 8668, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "not really I'm a bit confused", "session_id": 8668, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "ok so when the price is not increased there are 60000 people each for 12", "session_id": 8668, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "this is 720000 in revenue", "session_id": 8668, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "oh ok got it", "session_id": 8668, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "if the price increases by 1 there are now 56500 people each at 13 which 734500 in revenue", "session_id": 8668, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "I just continue to subtract 3500 and multiply by the increased price", "session_id": 8668, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "after I found 3 point I hit stat on my calc", "session_id": 8668, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "typed in the points", "session_id": 8668, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "then hit stat calc 5", "session_id": 8668, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "calc", "session_id": 8668, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "and -3500^2+18000x+720000", "session_id": 8668, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "wait", "session_id": 8668, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "that has been marked wrong", "session_id": 8668, "sequence_id": 43, "annotations": []}
{"role": "student", "content": "yeah... that's why I'm confused", "session_id": 8668, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "well you can use that quadratic to find the max of the function which you did so I struggle to understand as well why that is not accepted", "session_id": 8668, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "what does it say when you hit the exclamation point", "session_id": 8668, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "wait so its showing the correct answer and you got it wrong previously?", "session_id": 8668, "sequence_id": 47, "annotations": []}
{"role": "student", "content": "no it doesn't tell me the correct answer", "session_id": 8668, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "so you got what I got?", "session_id": 8668, "sequence_id": 49, "annotations": []}
{"role": "student", "content": "yes", "session_id": 8668, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "why is it saying you answered that then", "session_id": 8668, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "idk I think it's a formatting thing. I answered the equation in the text box above, the same one you got", "session_id": 8668, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "do you have to put a star in between the constants and xs", "session_id": 8668, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "****", "session_id": 8668, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "this symbol", "session_id": 8668, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "to represent multiplication", "session_id": 8668, "sequence_id": 56, "annotations": []}
{"role": "student", "content": "I don't think so, bc they turned the equation that I entered into one with the star already", "session_id": 8668, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "maybe x^2", "session_id": 8668, "sequence_id": 58, "annotations": []}
{"role": "student", "content": "I've never had to use those formats on any other question for this program.", "session_id": 8668, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "I think that we have the correct answer its just a formatting issue", "session_id": 8668, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "can you consult your actual math teacher before this is due?", "session_id": 8668, "sequence_id": 61, "annotations": []}
{"role": "student", "content": "He probably wouldn't answer my email since it's a Sunday and it's due tonight.", "session_id": 8668, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 8668, "sequence_id": 63, "annotations": []}
{"role": "student", "content": "I also asked a friend in this class and they can't figure it out either so maybe I'll just count my losses.", "session_id": 8668, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "just wait a little bit longer", "session_id": 8668, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "1 minute", "session_id": 8668, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "I'm very sorry but I'm stumped hopefully worst comes to worst you can talk with your teacher about the formatting because the math itself is there", "session_id": 8668, "sequence_id": 67, "annotations": []}
{"role": "student", "content": "thank you so much for going through this and trying to help though!", "session_id": 8668, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "of course have a nice night and goof luck", "session_id": 8668, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "Howdy !", "session_id": 8671, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "helloooo", "session_id": 8671, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "So how's your math class going?", "session_id": 8671, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "um", "session_id": 8671, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "i failed my midterm and have a 56% in the class", "session_id": 8671, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "Bummer !", "session_id": 8671, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "I need a 70% to pass", "session_id": 8671, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "yeah I struggle with math the most", "session_id": 8671, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "Like everybody else. :-)", "session_id": 8671, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "So it looks like you're doing integration by parts?", "session_id": 8671, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "yes I am", "session_id": 8671, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "Yeah, these can be messy.", "session_id": 8671, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "Do you understand the basic idea?  That by \"picking apart\" what's in the integral that we can maybe solve it?", "session_id": 8671, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "And by picking apart, I mean picking part of the integrand as u and the other part as dv.", "session_id": 8671, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "yeah I believe so", "session_id": 8671, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "So I just pasted a reminder of how this works.", "session_id": 8671, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "Is there any particular one you wanna start on?", "session_id": 8671, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "i want to work in order 1-11", "session_id": 8671, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "Okay, so let's start with # 1 then.", "session_id": 8671, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "So I write down the u and the dv first.", "session_id": 8671, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "Then I calculate du and write that down.", "session_id": 8671, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "Then I calculate V and write that down.", "session_id": 8671, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "okay okay I see", "session_id": 8671, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "You're probably wondering - how do I know what to pick as u and what to pick as dv ???", "session_id": 8671, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "yeah I was just going to ask", "session_id": 8671, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "The answer is - you don't really know.", "session_id": 8671, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "But, as you work more of these problems you'll get a better feel for it.", "session_id": 8671, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "And if you \"pick wrong\" you'll find yourself with a problem that is getting worse / not solvable.", "session_id": 8671, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "So let's work this thru using the choices I made and then we'll work it again with the \"wrong choices\" - okay?", "session_id": 8671, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "Alright, Sarah", "session_id": 8671, "sequence_id": 29, "annotations": [{"pii_type": "PERSON", "surrogate": "Alright, Sarah", "start": 0, "end": 14}]}
{"role": "volunteer", "content": "So in this step, I just applied the formula from the upper right and substituted the values of u, v, and du.", "session_id": 8671, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "Okay so far?", "session_id": 8671, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "yes", "session_id": 8671, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "So we can bring that 1/2 outside the integral.", "session_id": 8671, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "does it matter if you dont bring it out or is it more of a preference thimg", "session_id": 8671, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "More of a preference thing.", "session_id": 8671, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "Mathematically, it works either way.", "session_id": 8671, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "Luckily, we've already integrated e to the 2t (we did that at the beginning and maybe I glossed over it a bit?).", "session_id": 8671, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "Make sense?", "session_id": 8671, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "yeah but why does it matter if theyre the same or not'", "session_id": 8671, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "like the part you circled", "session_id": 8671, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "It just so happened (in this example) that we had already calculated that integral already.", "session_id": 8671, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "But let me erase the red part.", "session_id": 8671, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "So what is the integral of e to the 2t?", "session_id": 8671, "sequence_id": 43, "annotations": []}
{"role": "student", "content": "1/2e^2t", "session_id": 8671, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": ":-)", "session_id": 8671, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "will all the examples have +C", "session_id": 8671, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "The indefinite ones will (the ones without upper and lower limits on the integrand)", "session_id": 8671, "sequence_id": 47, "annotations": []}
{"role": "student", "content": "oh okay okay", "session_id": 8671, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "The definite ones will result in a number of some sort.", "session_id": 8671, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "So in the purple text, I quickly did the integral of e to the 2t.", "session_id": 8671, "sequence_id": 50, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 8671, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "It's really a \"u substitution\".", "session_id": 8671, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "You're okay with that?", "session_id": 8671, "sequence_id": 53, "annotations": []}
{"role": "student", "content": "yes", "session_id": 8671, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "Ready to go back and rework this with the \"wrong choice\" ?", "session_id": 8671, "sequence_id": 55, "annotations": []}
{"role": "student", "content": "is that like just an example", "session_id": 8671, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "Just an example of how to do u substitutions?", "session_id": 8671, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "Yep.", "session_id": 8671, "sequence_id": 58, "annotations": []}
{"role": "student", "content": "okay I was just making sure", "session_id": 8671, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "Okey dokey.", "session_id": 8671, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "Can I erase a bit and we redo this one?", "session_id": 8671, "sequence_id": 61, "annotations": []}
{"role": "student", "content": "yes ofc", "session_id": 8671, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "Okay so far?", "session_id": 8671, "sequence_id": 63, "annotations": []}
{"role": "student", "content": "yes", "session_id": 8671, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "So by picking dv = t we make it worse because the integral of that is a t squared thingy.", "session_id": 8671, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "The exponent on the t gets larger, and harder to handle, not smaller.", "session_id": 8671, "sequence_id": 66, "annotations": []}
{"role": "student", "content": "ohhhhh", "session_id": 8671, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "So this just takes us back to where we started.", "session_id": 8671, "sequence_id": 68, "annotations": []}
{"role": "student", "content": "i see", "session_id": 8671, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "So once you reach this point, you might think \"hmmm, maybe I better re-select things and try again\".", "session_id": 8671, "sequence_id": 70, "annotations": []}
{"role": "student", "content": "Okay so when I basically get to where I started, I should re-evaluate and pick a different U and DV", "session_id": 8671, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "Yes.", "session_id": 8671, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "Or you get a super-nasty looking integral and you want to avoid it.", "session_id": 8671, "sequence_id": 73, "annotations": []}
{"role": "student", "content": "I see", "session_id": 8671, "sequence_id": 74, "annotations": []}
{"role": "volunteer", "content": "So just a heads up - I  have some food in the oven and the timer is going to beep here in a bit...", "session_id": 8671, "sequence_id": 75, "annotations": []}
{"role": "student", "content": "yeah no problem", "session_id": 8671, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "Want to do # 2 then next?", "session_id": 8671, "sequence_id": 77, "annotations": []}
{"role": "student", "content": "yes please", "session_id": 8671, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "So pi is a constant to let's multiply that out to make it a bit easier to deal with.", "session_id": 8671, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "And we can put each term inside its own integral sign.", "session_id": 8671, "sequence_id": 80, "annotations": []}
{"role": "volunteer", "content": "Okay so far?", "session_id": 8671, "sequence_id": 81, "annotations": []}
{"role": "student", "content": "so did you just put Pi infront of cos then sub it by the -x for the other", "session_id": 8671, "sequence_id": 82, "annotations": []}
{"role": "volunteer", "content": "I just distributed out those terms (multiplied them out).", "session_id": 8671, "sequence_id": 83, "annotations": []}
{"role": "volunteer", "content": "Usually, they are written in that order.", "session_id": 8671, "sequence_id": 84, "annotations": []}
{"role": "volunteer", "content": "Did that make more sense?", "session_id": 8671, "sequence_id": 85, "annotations": []}
{"role": "student", "content": "Yes, David", "session_id": 8671, "sequence_id": 86, "annotations": [{"pii_type": "PERSON", "surrogate": "Yes, David", "start": 0, "end": 10}]}
{"role": "volunteer", "content": ":-)", "session_id": 8671, "sequence_id": 87, "annotations": []}
{"role": "volunteer", "content": "So we don't need integration by parts to solve that first one.", "session_id": 8671, "sequence_id": 88, "annotations": []}
{"role": "volunteer", "content": "We can just \"do it and be done with it\".", "session_id": 8671, "sequence_id": 89, "annotations": []}
{"role": "student", "content": "oh okay!!!", "session_id": 8671, "sequence_id": 90, "annotations": []}
{"role": "volunteer", "content": "Not so bad, eh?", "session_id": 8671, "sequence_id": 91, "annotations": []}
{"role": "student", "content": "wait Im confused", "session_id": 8671, "sequence_id": 92, "annotations": []}
{"role": "student", "content": "which is this for", "session_id": 8671, "sequence_id": 93, "annotations": []}
{"role": "volunteer", "content": "This is for that first integral (the one you don't need integration by parts).", "session_id": 8671, "sequence_id": 94, "annotations": []}
{"role": "student", "content": "oh ok ok i think I was just confused bc the PI moved", "session_id": 8671, "sequence_id": 95, "annotations": []}
{"role": "volunteer", "content": "Yeah, sorry about that.", "session_id": 8671, "sequence_id": 96, "annotations": []}
{"role": "volunteer", "content": "These things can get messy !", "session_id": 8671, "sequence_id": 97, "annotations": []}
{"role": "volunteer", "content": "So I'm gonna replace that first integral with the sin(pi x) okay?", "session_id": 8671, "sequence_id": 98, "annotations": []}
{"role": "student", "content": "So I do have to move the pi", "session_id": 8671, "sequence_id": 99, "annotations": []}
{"role": "volunteer", "content": "We did a simple u substitution like last time.", "session_id": 8671, "sequence_id": 100, "annotations": []}
{"role": "volunteer", "content": "We let u = pi times x", "session_id": 8671, "sequence_id": 101, "annotations": []}
{"role": "volunteer", "content": "So du = pi times dx", "session_id": 8671, "sequence_id": 102, "annotations": []}
{"role": "student", "content": "ok ok", "session_id": 8671, "sequence_id": 103, "annotations": []}
{"role": "student", "content": "so then cosUdu turns into integral sinudu", "session_id": 8671, "sequence_id": 104, "annotations": []}
{"role": "volunteer", "content": "The integral of the cosine of u is just sine of u", "session_id": 8671, "sequence_id": 105, "annotations": []}
{"role": "volunteer", "content": "Because the derivative of sine of u is just cosine of u.", "session_id": 8671, "sequence_id": 106, "annotations": []}
{"role": "volunteer", "content": "The two process work backwards to each other (like multiplication and division).", "session_id": 8671, "sequence_id": 107, "annotations": []}
{"role": "student", "content": "so like", "session_id": 8671, "sequence_id": 108, "annotations": []}
{"role": "volunteer", "content": "Get rid of that integral symbol", "session_id": 8671, "sequence_id": 109, "annotations": []}
{"role": "volunteer", "content": "When you perform the integration of cosine, you just get plain old sine", "session_id": 8671, "sequence_id": 110, "annotations": []}
{"role": "student", "content": "so does the DU turn into +c", "session_id": 8671, "sequence_id": 111, "annotations": []}
{"role": "student", "content": "or it just goes away since the integral sign also left", "session_id": 8671, "sequence_id": 112, "annotations": []}
{"role": "volunteer", "content": "The + c is something you clerically tack on to the end of an integral.", "session_id": 8671, "sequence_id": 113, "annotations": []}
{"role": "volunteer", "content": "And the reason is - see purple text.", "session_id": 8671, "sequence_id": 114, "annotations": []}
{"role": "volunteer", "content": "So I just wrote 3 quick y equals equations and then took the derivate of each of them.", "session_id": 8671, "sequence_id": 115, "annotations": []}
{"role": "volunteer", "content": "And low and behold - they are all the same (meaning 2x) !!!", "session_id": 8671, "sequence_id": 116, "annotations": []}
{"role": "student", "content": "yeahhh", "session_id": 8671, "sequence_id": 117, "annotations": []}
{"role": "volunteer", "content": "This, even though the original equations were a bit different.", "session_id": 8671, "sequence_id": 118, "annotations": []}
{"role": "volunteer", "content": "So when you integrate, going from right to left on the page, you don't know if you started with a +3, or a +7, or a - 14 so you just write in c as a placeholder for some constant.", "session_id": 8671, "sequence_id": 119, "annotations": []}
{"role": "volunteer", "content": "Hold on - be right back.", "session_id": 8671, "sequence_id": 120, "annotations": []}
{"role": "student", "content": "ohhh", "session_id": 8671, "sequence_id": 121, "annotations": []}
{"role": "volunteer", "content": "So now back to problem # 2 ?", "session_id": 8671, "sequence_id": 122, "annotations": []}
{"role": "volunteer", "content": "Then I gotta scoot...", "session_id": 8671, "sequence_id": 123, "annotations": []}
{"role": "student", "content": "yes please", "session_id": 8671, "sequence_id": 124, "annotations": []}
{"role": "volunteer", "content": "So here, again because we want the exponent on x to get smaller and not larger, we choose u = x", "session_id": 8671, "sequence_id": 125, "annotations": []}
{"role": "volunteer", "content": "Then du = dx", "session_id": 8671, "sequence_id": 126, "annotations": []}
{"role": "student", "content": "ok ok", "session_id": 8671, "sequence_id": 127, "annotations": []}
{"role": "volunteer", "content": "And are you okay with how I get v from dv?", "session_id": 8671, "sequence_id": 128, "annotations": []}
{"role": "student", "content": "yes bc its the antiderivative right", "session_id": 8671, "sequence_id": 129, "annotations": []}
{"role": "volunteer", "content": "Yep.", "session_id": 8671, "sequence_id": 130, "annotations": []}
{"role": "volunteer", "content": "Okay so far?", "session_id": 8671, "sequence_id": 131, "annotations": []}
{"role": "student", "content": "where did the part with x 1/pi come from", "session_id": 8671, "sequence_id": 132, "annotations": []}
{"role": "volunteer", "content": "So the first term in the integration by parts (see the thingy I posted) is  u times v", "session_id": 8671, "sequence_id": 133, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 8671, "sequence_id": 134, "annotations": []}
{"role": "volunteer", "content": "So I'm just multiplying those two terms I circled.", "session_id": 8671, "sequence_id": 135, "annotations": []}
{"role": "volunteer", "content": "Then solving that last integral like we did the previous one.", "session_id": 8671, "sequence_id": 136, "annotations": []}
{"role": "volunteer", "content": "Just doing algebra now.", "session_id": 8671, "sequence_id": 137, "annotations": []}
{"role": "volunteer", "content": "The difficult part with these types of problems is that the algebra gets so soupy, that you lose track of how to solve the new and exciting calculus problem.", "session_id": 8671, "sequence_id": 138, "annotations": []}
{"role": "volunteer", "content": "Soupy and a bit nasty but there it is !!!", "session_id": 8671, "sequence_id": 139, "annotations": []}
{"role": "student", "content": "I get it now", "session_id": 8671, "sequence_id": 140, "annotations": []}
{"role": "volunteer", "content": ":-)", "session_id": 8671, "sequence_id": 141, "annotations": []}
{"role": "volunteer", "content": "Good luck my friend !!!", "session_id": 8671, "sequence_id": 142, "annotations": []}
{"role": "student", "content": "thank youuuu", "session_id": 8671, "sequence_id": 143, "annotations": []}
{"role": "volunteer", "content": "I must now attend to my roast.", "session_id": 8671, "sequence_id": 144, "annotations": []}
{"role": "volunteer", "content": "Take care...", "session_id": 8671, "sequence_id": 145, "annotations": []}
{"role": "student", "content": "Bye, Michael", "session_id": 8671, "sequence_id": 146, "annotations": [{"pii_type": "PERSON", "surrogate": "Bye, Michael", "start": 0, "end": 12}]}
{"role": "volunteer", "content": "hello", "session_id": 8888, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "how would i distribute k + 1 - 4(2k-9)", "session_id": 8888, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "and hello", "session_id": 8888, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "you use the distributive property with the parentheses.", "session_id": 8888, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "first you multiply the 4 times 2k", "session_id": 8888, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "-4 I mean.", "session_id": 8888, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "Not quite.", "session_id": 8888, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "it's -4 times -9", "session_id": 8888, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "that's right", "session_id": 8888, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "now you combine like terms", "session_id": 8888, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "9k+37", "session_id": 8888, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "not quite", "session_id": 8888, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "what is k -8k?", "session_id": 8888, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "7k+37", "session_id": 8888, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "think of it as 1k -8k", "session_id": 8888, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "7k", "session_id": 8888, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "what is 1 minus 8", "session_id": 8888, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "7", "session_id": 8888, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "-7k", "session_id": 8888, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "-7k, yes", "session_id": 8888, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "so -7k+37", "session_id": 8888, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "right", "session_id": 8888, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "Did you have another question?", "session_id": 8888, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "no", "session_id": 8888, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "OK, then have a good weekend.", "session_id": 8888, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "hello!", "session_id": 8714, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "hi! i was just needing some review for my re-take tomorow", "session_id": 8714, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "i can add the image", "session_id": 8714, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "alright", "session_id": 8714, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "this was the multiple choice", "session_id": 8714, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "I think that number one may have been misreading \"concurrent\" as \"congruent\"", "session_id": 8714, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "which is what I thought at firt", "session_id": 8714, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "first*", "session_id": 8714, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "that would makes sense for me lol", "session_id": 8714, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "I'm trying to figure out what its asking Liam", "session_id": 8714, "sequence_id": 9, "annotations": [{"pii_type": "PERSON", "surrogate": "Liam", "start": 41, "end": 45}]}
{"role": "volunteer", "content": "like concurrent means at the same time", "session_id": 8714, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "thats what i was thinking too", "session_id": 8714, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "so would it be always", "session_id": 8714, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "I was leaning towards never", "session_id": 8714, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "wait", "session_id": 8714, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "oh wait ur right", "session_id": 8714, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "I just googled it", "session_id": 8714, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "me core", "session_id": 8714, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "two Geometry 202% never", "session_id": 8714, "sequence_id": 18, "annotations": [{"pii_type": "COURSE", "surrogate": "Geometry 202", "start": 4, "end": 16}]}
{"role": "student", "content": "idk what i wsa thinking there", "session_id": 8714, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "the sum of interior angles is always 180 is it not?", "session_id": 8714, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "yes lol", "session_id": 8714, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "lol I think your logic was based on exterior angles", "session_id": 8714, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "i think that too", "session_id": 8714, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "because technically speaking there is one shape that has exterior angles Math 101", "session_id": 8714, "sequence_id": 24, "annotations": [{"pii_type": "COURSE", "surrogate": "Math 101", "start": 73, "end": 81}]}
{"role": "student", "content": "i swear i can blame this on being out sick for 2 weeks", "session_id": 8714, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "yes", "session_id": 8714, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "2 weeks is valid", "session_id": 8714, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "I had the flu", "session_id": 8714, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "you good with number 3?", "session_id": 8714, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "yes", "session_id": 8714, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "always?", "session_id": 8714, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "right", "session_id": 8714, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "I think its sometimes", "session_id": 8714, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "ohhhh", "session_id": 8714, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "I dont know if that incredibly skillful animation summed that up", "session_id": 8714, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "ur good lol", "session_id": 8714, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "but like you understand what I'm saying right", "session_id": 8714, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "yes", "session_id": 8714, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "that's a visual for number 5", "session_id": 8714, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "would it be never", "session_id": 8714, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "there are actually cases", "session_id": 8714, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "so sometimes", "session_id": 8714, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "and by cases I think theres only one case", "session_id": 8714, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 8714, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "ohhh", "session_id": 8714, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "always?", "session_id": 8714, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "I believe it is always", "session_id": 8714, "sequence_id": 47, "annotations": []}
{"role": "student", "content": "okay", "session_id": 8714, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "I'm 90% sure but I think so", "session_id": 8714, "sequence_id": 49, "annotations": []}
{"role": "student", "content": "k", "session_id": 8714, "sequence_id": 50, "annotations": []}
{"role": "student", "content": "i have a diagram next", "session_id": 8714, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "alright", "session_id": 8714, "sequence_id": 52, "annotations": []}
{"role": "student", "content": "hold up", "session_id": 8714, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "lets take a gander", "session_id": 8714, "sequence_id": 54, "annotations": []}
{"role": "student", "content": "okay", "session_id": 8714, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "wait", "session_id": 8714, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "this has me thinking", "session_id": 8714, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "hold up", "session_id": 8714, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "why is number 2 wrong?", "session_id": 8714, "sequence_id": 59, "annotations": []}
{"role": "student", "content": "thats what i thought when i looked over it", "session_id": 8714, "sequence_id": 60, "annotations": []}
{"role": "student", "content": "but he was just like", "session_id": 8714, "sequence_id": 61, "annotations": []}
{"role": "student", "content": "becuase it is wrong i cant take more points off if you correct me again", "session_id": 8714, "sequence_id": 62, "annotations": []}
{"role": "student", "content": "and i was like okay diva", "session_id": 8714, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "#baddie", "session_id": 8714, "sequence_id": 64, "annotations": []}
{"role": "student", "content": "certified", "session_id": 8714, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "I think its because it cant divide exactly", "session_id": 8714, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "it can be even but odd or smthn?", "session_id": 8714, "sequence_id": 67, "annotations": []}
{"role": "student", "content": "idk Boston", "session_id": 8714, "sequence_id": 68, "annotations": [{"pii_type": "LOCATION", "surrogate": "Boston", "start": 4, "end": 10}]}
{"role": "student", "content": "i wish i did", "session_id": 8714, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "whats the equation for interior angles", "session_id": 8714, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "180(n-2)?", "session_id": 8714, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "180(1) = triangle = 180", "session_id": 8714, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "180(2) = square = 360", "session_id": 8714, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "that makes sense", "session_id": 8714, "sequence_id": 74, "annotations": []}
{"role": "student", "content": "yes", "session_id": 8714, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "but 180(n-2) = 1900 so n-2=10.56", "session_id": 8714, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "so I guess its bc n has to be a whole number", "session_id": 8714, "sequence_id": 77, "annotations": []}
{"role": "student", "content": "i think", "session_id": 8714, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "that makes sense ish", "session_id": 8714, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "well anyways moving on", "session_id": 8714, "sequence_id": 80, "annotations": []}
{"role": "volunteer", "content": "you're good with problem 2 i presume", "session_id": 8714, "sequence_id": 81, "annotations": []}
{"role": "student", "content": "yuh", "session_id": 8714, "sequence_id": 82, "annotations": []}
{"role": "volunteer", "content": "angle 2 is-108 right?", "session_id": 8714, "sequence_id": 83, "annotations": []}
{"role": "student", "content": "ohhhhhhh", "session_id": 8714, "sequence_id": 84, "annotations": []}
{"role": "student", "content": "that makes sense now", "session_id": 8714, "sequence_id": 85, "annotations": []}
{"role": "volunteer", "content": "you showed the work for it too", "session_id": 8714, "sequence_id": 86, "annotations": []}
{"role": "student", "content": "i was lost", "session_id": 8714, "sequence_id": 87, "annotations": []}
{"role": "student", "content": "bro", "session_id": 8714, "sequence_id": 88, "annotations": []}
{"role": "student", "content": "sos", "session_id": 8714, "sequence_id": 89, "annotations": []}
{"role": "volunteer", "content": "just a lil lost in the sauce", "session_id": 8714, "sequence_id": 90, "annotations": []}
{"role": "student", "content": "ofc i was", "session_id": 8714, "sequence_id": 91, "annotations": []}
{"role": "student", "content": "isgt i loose my mimd", "session_id": 8714, "sequence_id": 92, "annotations": []}
{"role": "student", "content": "so 72*", "session_id": 8714, "sequence_id": 93, "annotations": []}
{"role": "volunteer", "content": "yeah", "session_id": 8714, "sequence_id": 94, "annotations": []}
{"role": "volunteer", "content": "angle 5", "session_id": 8714, "sequence_id": 95, "annotations": []}
{"role": "volunteer", "content": "Chloe found angle 4", "session_id": 8714, "sequence_id": 96, "annotations": [{"pii_type": "PERSON", "surrogate": "Chloe", "start": 0, "end": 5}]}
{"role": "student", "content": "idk how", "session_id": 8714, "sequence_id": 97, "annotations": []}
{"role": "student", "content": "tbh", "session_id": 8714, "sequence_id": 98, "annotations": []}
{"role": "volunteer", "content": "what do we know about angle 4 and 5?", "session_id": 8714, "sequence_id": 99, "annotations": []}
{"role": "student", "content": "they are the same?", "session_id": 8714, "sequence_id": 100, "annotations": []}
{"role": "volunteer", "content": "not quite", "session_id": 8714, "sequence_id": 101, "annotations": []}
{"role": "student", "content": "idk", "session_id": 8714, "sequence_id": 102, "annotations": []}
{"role": "volunteer", "content": "they have a special relationship", "session_id": 8714, "sequence_id": 103, "annotations": []}
{"role": "student", "content": "uh whut", "session_id": 8714, "sequence_id": 104, "annotations": []}
{"role": "student", "content": "oh linear pair", "session_id": 8714, "sequence_id": 105, "annotations": []}
{"role": "volunteer", "content": "yeah", "session_id": 8714, "sequence_id": 106, "annotations": []}
{"role": "volunteer", "content": "so what do we know about them?", "session_id": 8714, "sequence_id": 107, "annotations": []}
{"role": "student", "content": "they add up to 180?", "session_id": 8714, "sequence_id": 108, "annotations": []}
{"role": "student", "content": "or wait", "session_id": 8714, "sequence_id": 109, "annotations": []}
{"role": "student", "content": "nvm lost af", "session_id": 8714, "sequence_id": 110, "annotations": []}
{"role": "volunteer", "content": "you know that <4 + <5 = 180", "session_id": 8714, "sequence_id": 111, "annotations": []}
{"role": "student", "content": "oh", "session_id": 8714, "sequence_id": 112, "annotations": []}
{"role": "student", "content": "so 180-135t", "session_id": 8714, "sequence_id": 113, "annotations": []}
{"role": "volunteer", "content": "yeah", "session_id": 8714, "sequence_id": 114, "annotations": []}
{"role": "volunteer", "content": "whats the t tho", "session_id": 8714, "sequence_id": 115, "annotations": []}
{"role": "student", "content": "idk typo lol", "session_id": 8714, "sequence_id": 116, "annotations": []}
{"role": "student", "content": "i cant spell", "session_id": 8714, "sequence_id": 117, "annotations": []}
{"role": "volunteer", "content": "me neether", "session_id": 8714, "sequence_id": 118, "annotations": []}
{"role": "student", "content": "45*]", "session_id": 8714, "sequence_id": 119, "annotations": []}
{"role": "student", "content": "omg", "session_id": 8714, "sequence_id": 120, "annotations": []}
{"role": "student", "content": "i did it again", "session_id": 8714, "sequence_id": 121, "annotations": []}
{"role": "student", "content": "but i forgot how i found 4", "session_id": 8714, "sequence_id": 122, "annotations": []}
{"role": "volunteer", "content": "doe what I circled ring a bell?", "session_id": 8714, "sequence_id": 123, "annotations": []}
{"role": "student", "content": "no", "session_id": 8714, "sequence_id": 124, "annotations": []}
{"role": "volunteer", "content": "that do anything?", "session_id": 8714, "sequence_id": 125, "annotations": []}
{"role": "student", "content": "uhm", "session_id": 8714, "sequence_id": 126, "annotations": []}
{"role": "student", "content": "well sorta", "session_id": 8714, "sequence_id": 127, "annotations": []}
{"role": "student", "content": "but homegirl is lost", "session_id": 8714, "sequence_id": 128, "annotations": []}
{"role": "volunteer", "content": "consider my timbers to be shivered", "session_id": 8714, "sequence_id": 129, "annotations": []}
{"role": "student", "content": "lol", "session_id": 8714, "sequence_id": 130, "annotations": []}
{"role": "volunteer", "content": "so basicallu", "session_id": 8714, "sequence_id": 131, "annotations": []}
{"role": "volunteer", "content": "we know that the pentagon is a regular pentagon", "session_id": 8714, "sequence_id": 132, "annotations": []}
{"role": "student", "content": "ye", "session_id": 8714, "sequence_id": 133, "annotations": []}
{"role": "volunteer", "content": "so since we know one angle is 108", "session_id": 8714, "sequence_id": 134, "annotations": []}
{"role": "volunteer", "content": "e know that all interior angles are equal", "session_id": 8714, "sequence_id": 135, "annotations": []}
{"role": "student", "content": "k", "session_id": 8714, "sequence_id": 136, "annotations": []}
{"role": "volunteer", "content": "actually wait", "session_id": 8714, "sequence_id": 137, "annotations": []}
{"role": "volunteer", "content": "theres an easier way to do that", "session_id": 8714, "sequence_id": 138, "annotations": []}
{"role": "volunteer", "content": "how did you find it", "session_id": 8714, "sequence_id": 139, "annotations": []}
{"role": "student", "content": "no clue :)))", "session_id": 8714, "sequence_id": 140, "annotations": []}
{"role": "student", "content": "oh wait i do", "session_id": 8714, "sequence_id": 141, "annotations": []}
{"role": "volunteer", "content": "remember that equation?", "session_id": 8714, "sequence_id": 142, "annotations": []}
{"role": "volunteer", "content": "180(n-2)", "session_id": 8714, "sequence_id": 143, "annotations": []}
{"role": "student", "content": "it on the paper", "session_id": 8714, "sequence_id": 144, "annotations": []}
{"role": "student", "content": "mb", "session_id": 8714, "sequence_id": 145, "annotations": []}
{"role": "volunteer", "content": "so after taking a gander", "session_id": 8714, "sequence_id": 146, "annotations": []}
{"role": "volunteer", "content": "how do you find angle 4?", "session_id": 8714, "sequence_id": 147, "annotations": []}
{"role": "student", "content": "that is a good question i have no idea", "session_id": 8714, "sequence_id": 148, "annotations": []}
{"role": "student", "content": "even though i did it", "session_id": 8714, "sequence_id": 149, "annotations": []}
{"role": "student", "content": "i looked at it and was lost in space", "session_id": 8714, "sequence_id": 150, "annotations": []}
{"role": "volunteer", "content": "(n-2) * 180", "session_id": 8714, "sequence_id": 151, "annotations": []}
{"role": "volunteer", "content": "how many sides does a regular octagon have?", "session_id": 8714, "sequence_id": 152, "annotations": []}
{"role": "student", "content": "k", "session_id": 8714, "sequence_id": 153, "annotations": []}
{"role": "student", "content": "8", "session_id": 8714, "sequence_id": 154, "annotations": []}
{"role": "student", "content": "ohhhhh", "session_id": 8714, "sequence_id": 155, "annotations": []}
{"role": "student", "content": "my dumb ahh", "session_id": 8714, "sequence_id": 156, "annotations": []}
{"role": "volunteer", "content": ":p", "session_id": 8714, "sequence_id": 157, "annotations": []}
{"role": "student", "content": "k now i get it", "session_id": 8714, "sequence_id": 158, "annotations": []}
{"role": "student", "content": "or know whay i did", "session_id": 8714, "sequence_id": 159, "annotations": []}
{"role": "student", "content": "but for m<3 what do i do", "session_id": 8714, "sequence_id": 160, "annotations": []}
{"role": "volunteer", "content": "so we know angle 2", "session_id": 8714, "sequence_id": 161, "annotations": []}
{"role": "volunteer", "content": "and we know angle 5", "session_id": 8714, "sequence_id": 162, "annotations": []}
{"role": "volunteer", "content": "and we know its a quadrilateral", "session_id": 8714, "sequence_id": 163, "annotations": []}
{"role": "volunteer", "content": "so <2 + <3 + <5 + 117 = 360", "session_id": 8714, "sequence_id": 164, "annotations": []}
{"role": "student", "content": "so do i add - 117", "session_id": 8714, "sequence_id": 165, "annotations": []}
{"role": "student", "content": "like", "session_id": 8714, "sequence_id": 166, "annotations": []}
{"role": "volunteer", "content": "we know what angle 2 is", "session_id": 8714, "sequence_id": 167, "annotations": []}
{"role": "volunteer", "content": "and we know what angle 5 is", "session_id": 8714, "sequence_id": 168, "annotations": []}
{"role": "student", "content": "2 is 72 and 5 is 45", "session_id": 8714, "sequence_id": 169, "annotations": []}
{"role": "volunteer", "content": "yup", "session_id": 8714, "sequence_id": 170, "annotations": []}
{"role": "student", "content": "so add that together", "session_id": 8714, "sequence_id": 171, "annotations": []}
{"role": "volunteer", "content": "yup", "session_id": 8714, "sequence_id": 172, "annotations": []}
{"role": "student", "content": "234", "session_id": 8714, "sequence_id": 173, "annotations": []}
{"role": "student", "content": "subtract that?", "session_id": 8714, "sequence_id": 174, "annotations": []}
{"role": "volunteer", "content": "indeed", "session_id": 8714, "sequence_id": 175, "annotations": []}
{"role": "student", "content": "126*", "session_id": 8714, "sequence_id": 176, "annotations": []}
{"role": "volunteer", "content": "indubitably", "session_id": 8714, "sequence_id": 177, "annotations": []}
{"role": "volunteer", "content": "<3 = 126 :D", "session_id": 8714, "sequence_id": 178, "annotations": []}
{"role": "student", "content": "okay big words", "session_id": 8714, "sequence_id": 179, "annotations": []}
{"role": "volunteer", "content": "its ok", "session_id": 8714, "sequence_id": 180, "annotations": []}
{"role": "student", "content": "i get it nowwww", "session_id": 8714, "sequence_id": 181, "annotations": []}
{"role": "volunteer", "content": "yippee", "session_id": 8714, "sequence_id": 182, "annotations": []}
{"role": "volunteer", "content": "you're gon ace it tmr right", "session_id": 8714, "sequence_id": 183, "annotations": []}
{"role": "student", "content": "i have one last diagram and then i promis i am done", "session_id": 8714, "sequence_id": 184, "annotations": []}
{"role": "volunteer", "content": "alright", "session_id": 8714, "sequence_id": 185, "annotations": []}
{"role": "volunteer", "content": "lets take a gander", "session_id": 8714, "sequence_id": 186, "annotations": []}
{"role": "student", "content": "gander away :)", "session_id": 8714, "sequence_id": 187, "annotations": []}
{"role": "student", "content": "i think i jsut gave up on the problem", "session_id": 8714, "sequence_id": 188, "annotations": []}
{"role": "volunteer", "content": "I would too", "session_id": 8714, "sequence_id": 189, "annotations": []}
{"role": "student", "content": "lol", "session_id": 8714, "sequence_id": 190, "annotations": []}
{"role": "volunteer", "content": "so we know that the sum of interior angles is 720", "session_id": 8714, "sequence_id": 191, "annotations": []}
{"role": "volunteer", "content": "you got that much", "session_id": 8714, "sequence_id": 192, "annotations": []}
{"role": "student", "content": "how idk tho", "session_id": 8714, "sequence_id": 193, "annotations": []}
{"role": "volunteer", "content": "theres 6 sides", "session_id": 8714, "sequence_id": 194, "annotations": []}
{"role": "student", "content": "okay wait i see now", "session_id": 8714, "sequence_id": 195, "annotations": []}
{"role": "volunteer", "content": "alr", "session_id": 8714, "sequence_id": 196, "annotations": []}
{"role": "student", "content": "so do i add all like terms", "session_id": 8714, "sequence_id": 197, "annotations": []}
{"role": "volunteer", "content": "yeah", "session_id": 8714, "sequence_id": 198, "annotations": []}
{"role": "volunteer", "content": "you can also take the (x+30) and stuff out of parenthesis", "session_id": 8714, "sequence_id": 199, "annotations": []}
{"role": "student", "content": "k", "session_id": 8714, "sequence_id": 200, "annotations": []}
{"role": "student", "content": "375 +25x", "session_id": 8714, "sequence_id": 201, "annotations": []}
{"role": "student", "content": "right?", "session_id": 8714, "sequence_id": 202, "annotations": []}
{"role": "student", "content": "i think", "session_id": 8714, "sequence_id": 203, "annotations": []}
{"role": "volunteer", "content": "whered you get 25x", "session_id": 8714, "sequence_id": 204, "annotations": []}
{"role": "student", "content": "do i combine the x's", "session_id": 8714, "sequence_id": 205, "annotations": []}
{"role": "volunteer", "content": "theyre all being added", "session_id": 8714, "sequence_id": 206, "annotations": []}
{"role": "student", "content": "the middle is?", "session_id": 8714, "sequence_id": 207, "annotations": []}
{"role": "volunteer", "content": "huh", "session_id": 8714, "sequence_id": 208, "annotations": []}
{"role": "volunteer", "content": "140+105+130+x+30+x-5+x+5", "session_id": 8714, "sequence_id": 209, "annotations": []}
{"role": "student", "content": "wait its 30", "session_id": 8714, "sequence_id": 210, "annotations": []}
{"role": "volunteer", "content": "huhhhhhhh", "session_id": 8714, "sequence_id": 211, "annotations": []}
{"role": "student", "content": "i am lost", "session_id": 8714, "sequence_id": 212, "annotations": []}
{"role": "student", "content": "for the x's", "session_id": 8714, "sequence_id": 213, "annotations": []}
{"role": "volunteer", "content": "what is x+x+x", "session_id": 8714, "sequence_id": 214, "annotations": []}
{"role": "student", "content": "40", "session_id": 8714, "sequence_id": 215, "annotations": []}
{"role": "student", "content": "wait homegirl is lost again bcs one is subtracting", "session_id": 8714, "sequence_id": 216, "annotations": []}
{"role": "volunteer", "content": "x+x+x = 3x", "session_id": 8714, "sequence_id": 217, "annotations": []}
{"role": "student", "content": "oh-", "session_id": 8714, "sequence_id": 218, "annotations": []}
{"role": "student", "content": "embarasing", "session_id": 8714, "sequence_id": 219, "annotations": []}
{"role": "volunteer", "content": "its ok", "session_id": 8714, "sequence_id": 220, "annotations": []}
{"role": "student", "content": "wait then the whole numbers go into the sum i added", "session_id": 8714, "sequence_id": 221, "annotations": []}
{"role": "volunteer", "content": "*points and laughs*", "session_id": 8714, "sequence_id": 222, "annotations": []}
{"role": "student", "content": "lol", "session_id": 8714, "sequence_id": 223, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 8714, "sequence_id": 224, "annotations": []}
{"role": "volunteer", "content": "405+30-5+5", "session_id": 8714, "sequence_id": 225, "annotations": []}
{"role": "student", "content": "i 405+3x=720", "session_id": 8714, "sequence_id": 226, "annotations": []}
{"role": "student", "content": "i think", "session_id": 8714, "sequence_id": 227, "annotations": []}
{"role": "volunteer", "content": "indeed", "session_id": 8714, "sequence_id": 228, "annotations": []}
{"role": "student", "content": "ah ha", "session_id": 8714, "sequence_id": 229, "annotations": []}
{"role": "volunteer", "content": "so 3x = ?", "session_id": 8714, "sequence_id": 230, "annotations": []}
{"role": "student", "content": "i got x = 105", "session_id": 8714, "sequence_id": 231, "annotations": []}
{"role": "volunteer", "content": "i got that to :D", "session_id": 8714, "sequence_id": 232, "annotations": []}
{"role": "student", "content": "ayyyyyeeee", "session_id": 8714, "sequence_id": 233, "annotations": []}
{"role": "volunteer", "content": "so you #slayed the day", "session_id": 8714, "sequence_id": 234, "annotations": []}
{"role": "student", "content": "i did bcs you served", "session_id": 8714, "sequence_id": 235, "annotations": []}
{"role": "student", "content": "legit would be lost without ur help lol", "session_id": 8714, "sequence_id": 236, "annotations": []}
{"role": "volunteer", "content": "served you spaghetti to help when ur lost in the sauce", "session_id": 8714, "sequence_id": 237, "annotations": []}
{"role": "student", "content": "oh wait", "session_id": 8714, "sequence_id": 238, "annotations": []}
{"role": "student", "content": "you clocked that", "session_id": 8714, "sequence_id": 239, "annotations": []}
{"role": "volunteer", "content": ":p", "session_id": 8714, "sequence_id": 240, "annotations": []}
{"role": "volunteer", "content": "hi Ben", "session_id": 5777, "sequence_id": 0, "annotations": [{"pii_type": "PERSON", "surrogate": "Ben", "start": 3, "end": 6}]}
{"role": "volunteer", "content": "are you here?", "session_id": 5777, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "hi", "session_id": 5777, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "yes, my computer was loading", "session_id": 5777, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "ive been absent these past couple of days so I need someone to teach this brand new material to me", "session_id": 5777, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "even the first question is odd", "session_id": 5777, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "one answer would be that each person's share would be 1/2, but that's not a number >=1, like it tells us", "session_id": 5777, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "so we should think about the actual dollar amount, which is big", "session_id": 5777, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "it might be f(x)=1/2", "session_id": 5777, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "so, call the pot P. what would each person's share be?", "session_id": 5777, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "1/2", "session_id": 5777, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "in dollars, if P is in dollars.", "session_id": 5777, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "just 1/2 of whatever the amount of money you recieved", "session_id": 5777, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "which is P/2", "session_id": 5777, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "oh, and the given interval might be for x", "session_id": 5777, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "so should we follow what it says at the very top?", "session_id": 5777, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "so it might be that f(1)=1", "session_id": 5777, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "1 person gets the whole thing.", "session_id": 5777, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "f(2)=1/2", "session_id": 5777, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "this makes sense now", "session_id": 5777, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "if 3 people share, what is f(3)?", "session_id": 5777, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "yeah so 1/2 like I said eralier?", "session_id": 5777, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "yeah", "session_id": 5777, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "so f(3)=1/3", "session_id": 5777, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "yeah", "session_id": 5777, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "and f(x)?", "session_id": 5777, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "?", "session_id": 5777, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "if x people share the pot, whatever x is, what share does each person get?", "session_id": 5777, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "1/3", "session_id": 5777, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "f(3)=1/3", "session_id": 5777, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "f(4)=1/4, f(5)=1/5, f(6)=1/6, .... f(x)= ?", "session_id": 5777, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "1/x??", "session_id": 5777, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "yes!", "session_id": 5777, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "for any value of x, the share per person is 1/x", "session_id": 5777, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "we have the equation, now they ask for table and graph", "session_id": 5777, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "1-1/x", "session_id": 5777, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "2-1/2", "session_id": 5777, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "3-1/3", "session_id": 5777, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "and so on right?", "session_id": 5777, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "the equation is f(x)=1/x", "session_id": 5777, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "those would be table values", "session_id": 5777, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "1 is 1/1=1", "session_id": 5777, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "do they give you a table to fill in?", "session_id": 5777, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "no/", "session_id": 5777, "sequence_id": 43, "annotations": []}
{"role": "student", "content": "but i kind of get the idea", "session_id": 5777, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "like that?", "session_id": 5777, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "yeah", "session_id": 5777, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "so how would we graph that", "session_id": 5777, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "I don't know how many rows to put in", "session_id": 5777, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "plot points (1, 1), (2, 1/2), (3, 1/3), and so on", "session_id": 5777, "sequence_id": 49, "annotations": []}
{"role": "student", "content": "ooh ok", "session_id": 5777, "sequence_id": 50, "annotations": []}
{"role": "student", "content": "alright lets move on", "session_id": 5777, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "#4, just answer what the share would be for x people  100,000  100,000,000", "session_id": 5777, "sequence_id": 52, "annotations": []}
{"role": "student", "content": "oh so the same thing", "session_id": 5777, "sequence_id": 53, "annotations": []}
{"role": "student", "content": "1/1,000 and 1/100,000,000", "session_id": 5777, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "and 1/100,000 in the middle", "session_id": 5777, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "those numbers are getting close to 0, right?", "session_id": 5777, "sequence_id": 56, "annotations": []}
{"role": "student", "content": "yes", "session_id": 5777, "sequence_id": 57, "annotations": []}
{"role": "student", "content": "yes, but not exactly 0", "session_id": 5777, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "right", "session_id": 5777, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "never quite gets to 0", "session_id": 5777, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "but x can get as large as it wants, so you get as close to 0 as possible", "session_id": 5777, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "#5 asks what happens to f(x) as x approaches infinity", "session_id": 5777, "sequence_id": 62, "annotations": []}
{"role": "student", "content": "it increases?", "session_id": 5777, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "f(x) is 1/x", "session_id": 5777, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "1 divided by an incredibly large number. way bigger than 1,000,000", "session_id": 5777, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "1 with a million zeroes after it", "session_id": 5777, "sequence_id": 66, "annotations": []}
{"role": "student", "content": "what happens to y?", "session_id": 5777, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "yeah", "session_id": 5777, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "y is the same as f(x)", "session_id": 5777, "sequence_id": 69, "annotations": []}
{"role": "student", "content": "yes", "session_id": 5777, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "what happens to it as x goes to infinity?", "session_id": 5777, "sequence_id": 71, "annotations": []}
{"role": "student", "content": "it also goes to infinity", "session_id": 5777, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "we already talked about 1/1,000,000 is getting awfully close to 0", "session_id": 5777, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "as x gets bigger and bigger, doesn't f(x) just move closer and closer to 0?", "session_id": 5777, "sequence_id": 74, "annotations": []}
{"role": "student", "content": "ys", "session_id": 5777, "sequence_id": 75, "annotations": []}
{"role": "student", "content": "yes", "session_id": 5777, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "like, divide 1 by 1 followed by a million zeroes. that would be like decimal point followed by a million zeroes, then 1.", "session_id": 5777, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "so the answer to #5 is that f(x) --> 0", "session_id": 5777, "sequence_id": 78, "annotations": []}
{"role": "student", "content": "yes", "session_id": 5777, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "now #6-8", "session_id": 5777, "sequence_id": 80, "annotations": []}
{"role": "volunteer", "content": "for these they switch x and y around", "session_id": 5777, "sequence_id": 81, "annotations": []}
{"role": "volunteer", "content": "x is no longer number of people. it's the share. y is now the number of people", "session_id": 5777, "sequence_id": 82, "annotations": []}
{"role": "volunteer", "content": "when x = 1/2, that's 2 people, so f(x)=2", "session_id": 5777, "sequence_id": 83, "annotations": []}
{"role": "volunteer", "content": "x=1/3, that's 3 people, f(x)=3", "session_id": 5777, "sequence_id": 84, "annotations": []}
{"role": "student", "content": "yes", "session_id": 5777, "sequence_id": 85, "annotations": []}
{"role": "volunteer", "content": "so, again, whatever the argument x to f(x) is, we flip it upside down to get f(x), right?", "session_id": 5777, "sequence_id": 86, "annotations": []}
{"role": "student", "content": "yes", "session_id": 5777, "sequence_id": 87, "annotations": []}
{"role": "volunteer", "content": "so, again, f(x)=1/x", "session_id": 5777, "sequence_id": 88, "annotations": []}
{"role": "student", "content": "yes", "session_id": 5777, "sequence_id": 89, "annotations": []}
{"role": "volunteer", "content": "and this time, x is approaching 0, instead of approaching infinity", "session_id": 5777, "sequence_id": 90, "annotations": []}
{"role": "volunteer", "content": "and can't ever get there, because we aren't allowed to do 1/0, right?", "session_id": 5777, "sequence_id": 91, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 5777, "sequence_id": 92, "annotations": []}
{"role": "volunteer", "content": "but divide 1 by an incredibly tiny number and you get an incredibly huge number", "session_id": 5777, "sequence_id": 93, "annotations": []}
{"role": "volunteer", "content": "as x-->0, f(x)-->infinity", "session_id": 5777, "sequence_id": 94, "annotations": []}
{"role": "student", "content": "why", "session_id": 5777, "sequence_id": 95, "annotations": []}
{"role": "volunteer", "content": "divide 1 by 1 point million zeroes 1, and you get 1 followed by a million zeroes", "session_id": 5777, "sequence_id": 96, "annotations": []}
{"role": "volunteer", "content": "take a calculator, enter 1 divided by any tiny number, like .000000000000000000001", "session_id": 5777, "sequence_id": 97, "annotations": []}
{"role": "student", "content": "yes it gives me a huge number", "session_id": 5777, "sequence_id": 98, "annotations": []}
{"role": "volunteer", "content": "yeah", "session_id": 5777, "sequence_id": 99, "annotations": []}
{"role": "student", "content": "is that all for this page", "session_id": 5777, "sequence_id": 100, "annotations": []}
{"role": "volunteer", "content": "and as x gets closer and closer to 0, f(x) gets bigger and bigger", "session_id": 5777, "sequence_id": 101, "annotations": []}
{"role": "volunteer", "content": "let me graph this for yu", "session_id": 5777, "sequence_id": 102, "annotations": []}
{"role": "volunteer", "content": "*you", "session_id": 5777, "sequence_id": 103, "annotations": []}
{"role": "volunteer", "content": "see how f(x) goes to infinity as x goes to 0, and it goes to 0 as x goes to infinity?", "session_id": 5777, "sequence_id": 104, "annotations": []}
{"role": "student", "content": "yes", "session_id": 5777, "sequence_id": 105, "annotations": []}
{"role": "volunteer", "content": "now we're done with the page", "session_id": 5777, "sequence_id": 106, "annotations": []}
{"role": "student", "content": "lets do this page", "session_id": 5777, "sequence_id": 107, "annotations": []}
{"role": "volunteer", "content": "does the right part of the graph look like what I drew?", "session_id": 5777, "sequence_id": 108, "annotations": []}
{"role": "student", "content": "yes", "session_id": 5777, "sequence_id": 109, "annotations": []}
{"role": "volunteer", "content": "the left part is the graph of 1/x for negative values of x. does that make sense to you?", "session_id": 5777, "sequence_id": 110, "annotations": []}
{"role": "student", "content": "kind of", "session_id": 5777, "sequence_id": 111, "annotations": []}
{"role": "volunteer", "content": "x is negative. as it becomes a huge negative number, approaching negative infinity, then 1/x is negative, and approaching 0. just like the graph shows", "session_id": 5777, "sequence_id": 112, "annotations": []}
{"role": "volunteer", "content": "and as x gets close to 0, 1/x becomes a huge negative number, just like the graph shows", "session_id": 5777, "sequence_id": 113, "annotations": []}
{"role": "student", "content": "sure", "session_id": 5777, "sequence_id": 114, "annotations": []}
{"role": "volunteer", "content": "do you know the different transformations?", "session_id": 5777, "sequence_id": 115, "annotations": []}
{"role": "student", "content": "kind of", "session_id": 5777, "sequence_id": 116, "annotations": []}
{"role": "volunteer", "content": "the upper right part of the image shows 4 of them: reflection over x-axis, stretch, translation left/right, translation up/down", "session_id": 5777, "sequence_id": 117, "annotations": []}
{"role": "volunteer", "content": "which of those would give you figure 1 from the original?", "session_id": 5777, "sequence_id": 118, "annotations": []}
{"role": "student", "content": "reflection", "session_id": 5777, "sequence_id": 119, "annotations": []}
{"role": "volunteer", "content": "yeah", "session_id": 5777, "sequence_id": 120, "annotations": []}
{"role": "volunteer", "content": "so what would the equation for reflection look like if you started with f(x)=1/x?", "session_id": 5777, "sequence_id": 121, "annotations": []}
{"role": "student", "content": "-1/x??", "session_id": 5777, "sequence_id": 122, "annotations": []}
{"role": "volunteer", "content": "yep", "session_id": 5777, "sequence_id": 123, "annotations": []}
{"role": "volunteer", "content": "question 4 is much harder", "session_id": 5777, "sequence_id": 124, "annotations": []}
{"role": "volunteer", "content": "we need a picture that matches the provided description", "session_id": 5777, "sequence_id": 125, "annotations": []}
{"role": "volunteer", "content": "I'll draw you a grid. you try to graph the function", "session_id": 5777, "sequence_id": 126, "annotations": []}
{"role": "student", "content": "ok", "session_id": 5777, "sequence_id": 127, "annotations": []}
{"role": "volunteer", "content": "there you go", "session_id": 5777, "sequence_id": 128, "annotations": []}
{"role": "volunteer", "content": "start with the asymptotes", "session_id": 5777, "sequence_id": 129, "annotations": []}
{"role": "volunteer", "content": "y=0, x=-3", "session_id": 5777, "sequence_id": 130, "annotations": []}
{"role": "volunteer", "content": "use a different color for y=0", "session_id": 5777, "sequence_id": 131, "annotations": []}
{"role": "volunteer", "content": "good", "session_id": 5777, "sequence_id": 132, "annotations": []}
{"role": "volunteer", "content": "they gave you 3 points. graph those", "session_id": 5777, "sequence_id": 133, "annotations": []}
{"role": "student", "content": "there", "session_id": 5777, "sequence_id": 134, "annotations": []}
{"role": "volunteer", "content": "good", "session_id": 5777, "sequence_id": 135, "annotations": []}
{"role": "volunteer", "content": "I graphed the function in green", "session_id": 5777, "sequence_id": 136, "annotations": []}
{"role": "volunteer", "content": "is our new function shifted up or down from the original?", "session_id": 5777, "sequence_id": 137, "annotations": []}
{"role": "volunteer", "content": "(did the horizontal asymptote change?)", "session_id": 5777, "sequence_id": 138, "annotations": []}
{"role": "student", "content": "no?", "session_id": 5777, "sequence_id": 139, "annotations": []}
{"role": "volunteer", "content": "no. both are y=0, right?", "session_id": 5777, "sequence_id": 140, "annotations": []}
{"role": "student", "content": "yes", "session_id": 5777, "sequence_id": 141, "annotations": []}
{"role": "volunteer", "content": "how about shifting left or right?", "session_id": 5777, "sequence_id": 142, "annotations": []}
{"role": "student", "content": "no", "session_id": 5777, "sequence_id": 143, "annotations": []}
{"role": "student", "content": "oh wait yes", "session_id": 5777, "sequence_id": 144, "annotations": []}
{"role": "volunteer", "content": "did the horizontal asymptote of x=0 change?", "session_id": 5777, "sequence_id": 145, "annotations": []}
{"role": "student", "content": "it has an asymptote at y=3", "session_id": 5777, "sequence_id": 146, "annotations": []}
{"role": "volunteer", "content": "no", "session_id": 5777, "sequence_id": 147, "annotations": []}
{"role": "student", "content": "no, x=3", "session_id": 5777, "sequence_id": 148, "annotations": []}
{"role": "student", "content": "-3", "session_id": 5777, "sequence_id": 149, "annotations": []}
{"role": "volunteer", "content": "yeah, x=-3, instead of x=0", "session_id": 5777, "sequence_id": 150, "annotations": []}
{"role": "volunteer", "content": "that's 3 units to the left", "session_id": 5777, "sequence_id": 151, "annotations": []}
{"role": "volunteer", "content": "what does that do to the equation?", "session_id": 5777, "sequence_id": 152, "annotations": []}
{"role": "student", "content": "it shifts it left 3 units", "session_id": 5777, "sequence_id": 153, "annotations": []}
{"role": "volunteer", "content": "how do you change the equation for a shift left of 3 units?", "session_id": 5777, "sequence_id": 154, "annotations": []}
{"role": "student", "content": "+3", "session_id": 5777, "sequence_id": 155, "annotations": []}
{"role": "volunteer", "content": "I circled it top right", "session_id": 5777, "sequence_id": 156, "annotations": []}
{"role": "volunteer", "content": "x replaced by x+3", "session_id": 5777, "sequence_id": 157, "annotations": []}
{"role": "volunteer", "content": "last thing to check is whether there is a stretch. to do that we check the 3 points", "session_id": 5777, "sequence_id": 158, "annotations": []}
{"role": "volunteer", "content": "(-2, 1) before the shift left would have x coordinate 1, right?", "session_id": 5777, "sequence_id": 159, "annotations": []}
{"role": "student", "content": "yes", "session_id": 5777, "sequence_id": 160, "annotations": []}
{"role": "volunteer", "content": "what is f(1)) in the parent function?", "session_id": 5777, "sequence_id": 161, "annotations": []}
{"role": "volunteer", "content": "remember, f(x)=1/x is the parent", "session_id": 5777, "sequence_id": 162, "annotations": []}
{"role": "student", "content": "1", "session_id": 5777, "sequence_id": 163, "annotations": []}
{"role": "volunteer", "content": "right. and new function also has f'(1)=1. Seems like no stretch. let's check one last point. intercept (0, 1/3).", "session_id": 5777, "sequence_id": 164, "annotations": []}
{"role": "volunteer", "content": "try working that one out for parent function", "session_id": 5777, "sequence_id": 165, "annotations": []}
{"role": "volunteer", "content": "what value of x will you use before the shift left of 3?", "session_id": 5777, "sequence_id": 166, "annotations": []}
{"role": "student", "content": "I don't inderstand", "session_id": 5777, "sequence_id": 167, "annotations": []}
{"role": "volunteer", "content": "the new function has point (0, 1/3)", "session_id": 5777, "sequence_id": 168, "annotations": []}
{"role": "volunteer", "content": "what x-coordinate does that correspond to on the parent function before you move the whole thing 3 units to the left?", "session_id": 5777, "sequence_id": 169, "annotations": []}
{"role": "volunteer", "content": "(just move that point back 3 units to the right)", "session_id": 5777, "sequence_id": 170, "annotations": []}
{"role": "student", "content": "so 3,1/3", "session_id": 5777, "sequence_id": 171, "annotations": []}
{"role": "volunteer", "content": "yeah", "session_id": 5777, "sequence_id": 172, "annotations": []}
{"role": "volunteer", "content": "again, y is the same", "session_id": 5777, "sequence_id": 173, "annotations": []}
{"role": "volunteer", "content": "so, no stretch", "session_id": 5777, "sequence_id": 174, "annotations": []}
{"role": "volunteer", "content": "transformed function is just 1/(x+3)", "session_id": 5777, "sequence_id": 175, "annotations": []}
{"role": "volunteer", "content": "shift left is the only transformation", "session_id": 5777, "sequence_id": 176, "annotations": []}
{"role": "student", "content": "1/x", "session_id": 5777, "sequence_id": 177, "annotations": []}
{"role": "volunteer", "content": "that's the parent", "session_id": 5777, "sequence_id": 178, "annotations": []}
{"role": "volunteer", "content": "then shift 3 to the left", "session_id": 5777, "sequence_id": 179, "annotations": []}
{"role": "student", "content": "1/x+3", "session_id": 5777, "sequence_id": 180, "annotations": []}
{"role": "volunteer", "content": "yeah", "session_id": 5777, "sequence_id": 181, "annotations": []}
{"role": "student", "content": "alright", "session_id": 5777, "sequence_id": 182, "annotations": []}
{"role": "student", "content": "do i move on", "session_id": 5777, "sequence_id": 183, "annotations": []}
{"role": "volunteer", "content": "I can help with 1 more problem", "session_id": 5777, "sequence_id": 184, "annotations": []}
{"role": "student", "content": "so what are we doing for 5", "session_id": 5777, "sequence_id": 185, "annotations": []}
{"role": "volunteer", "content": "what transformations do you see for 5?", "session_id": 5777, "sequence_id": 186, "annotations": []}
{"role": "student", "content": "i see a vretical asymptote at y=0", "session_id": 5777, "sequence_id": 187, "annotations": []}
{"role": "volunteer", "content": "that's horizontal", "session_id": 5777, "sequence_id": 188, "annotations": []}
{"role": "student", "content": "so x-0", "session_id": 5777, "sequence_id": 189, "annotations": []}
{"role": "student", "content": "x=0", "session_id": 5777, "sequence_id": 190, "annotations": []}
{"role": "volunteer", "content": "that would be the y-axis", "session_id": 5777, "sequence_id": 191, "annotations": []}
{"role": "volunteer", "content": "is that where the vertical asymptote is?", "session_id": 5777, "sequence_id": 192, "annotations": []}
{"role": "student", "content": "yes", "session_id": 5777, "sequence_id": 193, "annotations": []}
{"role": "volunteer", "content": "the dashed line?", "session_id": 5777, "sequence_id": 194, "annotations": []}
{"role": "student", "content": "yes", "session_id": 5777, "sequence_id": 195, "annotations": []}
{"role": "student", "content": "ohh", "session_id": 5777, "sequence_id": 196, "annotations": []}
{"role": "student", "content": "i didnt see that omg im so sorry", "session_id": 5777, "sequence_id": 197, "annotations": []}
{"role": "student", "content": "so at like y=2", "session_id": 5777, "sequence_id": 198, "annotations": []}
{"role": "volunteer", "content": "x=2", "session_id": 5777, "sequence_id": 199, "annotations": []}
{"role": "student", "content": "no, x=2", "session_id": 5777, "sequence_id": 200, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 5777, "sequence_id": 201, "annotations": []}
{"role": "volunteer", "content": "right", "session_id": 5777, "sequence_id": 202, "annotations": []}
{"role": "volunteer", "content": "what transformation is that?", "session_id": 5777, "sequence_id": 203, "annotations": []}
{"role": "student", "content": "right by 2", "session_id": 5777, "sequence_id": 204, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 5777, "sequence_id": 205, "annotations": []}
{"role": "volunteer", "content": "what's the new function?", "session_id": 5777, "sequence_id": 206, "annotations": []}
{"role": "student", "content": "1/x-2", "session_id": 5777, "sequence_id": 207, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 5777, "sequence_id": 208, "annotations": []}
{"role": "volunteer", "content": "doesn't look like any other transformation", "session_id": 5777, "sequence_id": 209, "annotations": []}
{"role": "student", "content": "when does the numerator change", "session_id": 5777, "sequence_id": 210, "annotations": []}
{"role": "volunteer", "content": "stretch", "session_id": 5777, "sequence_id": 211, "annotations": []}
{"role": "volunteer", "content": "let's do 6. then I have to go", "session_id": 5777, "sequence_id": 212, "annotations": []}
{"role": "student", "content": "alright", "session_id": 5777, "sequence_id": 213, "annotations": []}
{"role": "volunteer", "content": "any translation left/right, up/down?", "session_id": 5777, "sequence_id": 214, "annotations": []}
{"role": "student", "content": "no", "session_id": 5777, "sequence_id": 215, "annotations": []}
{"role": "volunteer", "content": "correct", "session_id": 5777, "sequence_id": 216, "annotations": []}
{"role": "volunteer", "content": "what is f(1)) for parent function?", "session_id": 5777, "sequence_id": 217, "annotations": []}
{"role": "student", "content": "1", "session_id": 5777, "sequence_id": 218, "annotations": []}
{"role": "volunteer", "content": "and for transformed function?", "session_id": 5777, "sequence_id": 219, "annotations": []}
{"role": "volunteer", "content": "f'(1)?", "session_id": 5777, "sequence_id": 220, "annotations": []}
{"role": "student", "content": "x-1?", "session_id": 5777, "sequence_id": 221, "annotations": []}
{"role": "student", "content": "x-2", "session_id": 5777, "sequence_id": 222, "annotations": []}
{"role": "volunteer", "content": "just 2, right?", "session_id": 5777, "sequence_id": 223, "annotations": []}
{"role": "student", "content": "im confused, why would it be 2", "session_id": 5777, "sequence_id": 224, "annotations": []}
{"role": "volunteer", "content": "point (1, 2)", "session_id": 5777, "sequence_id": 225, "annotations": []}
{"role": "student", "content": "but why couldn't it be any other point", "session_id": 5777, "sequence_id": 226, "annotations": []}
{"role": "volunteer", "content": "used to be (1, 1)", "session_id": 5777, "sequence_id": 227, "annotations": []}
{"role": "volunteer", "content": "it tells you that (1, 2) is a point on the transformed function", "session_id": 5777, "sequence_id": 228, "annotations": []}
{"role": "volunteer", "content": "parent function had (1, 1)", "session_id": 5777, "sequence_id": 229, "annotations": []}
{"role": "student", "content": "oh so you're just comparing the points on the parent function to this one?", "session_id": 5777, "sequence_id": 230, "annotations": []}
{"role": "volunteer", "content": "yeah!", "session_id": 5777, "sequence_id": 231, "annotations": []}
{"role": "volunteer", "content": "we did the same before", "session_id": 5777, "sequence_id": 232, "annotations": []}
{"role": "student", "content": "ok", "session_id": 5777, "sequence_id": 233, "annotations": []}
{"role": "volunteer", "content": "like when I asked you for the x if you shift it back 3 units to the right", "session_id": 5777, "sequence_id": 234, "annotations": []}
{"role": "volunteer", "content": "here there is no shifting left/right, up/down", "session_id": 5777, "sequence_id": 235, "annotations": []}
{"role": "volunteer", "content": "the only way to get f'(1)=2 is to multiply times 2", "session_id": 5777, "sequence_id": 236, "annotations": []}
{"role": "student", "content": "right", "session_id": 5777, "sequence_id": 237, "annotations": []}
{"role": "volunteer", "content": "try it form (-1/2, -4)", "session_id": 5777, "sequence_id": 238, "annotations": []}
{"role": "volunteer", "content": "*try it for", "session_id": 5777, "sequence_id": 239, "annotations": []}
{"role": "volunteer", "content": "what was f(-1/2) in the parent function?", "session_id": 5777, "sequence_id": 240, "annotations": []}
{"role": "student", "content": "-1/2", "session_id": 5777, "sequence_id": 241, "annotations": []}
{"role": "volunteer", "content": "no", "session_id": 5777, "sequence_id": 242, "annotations": []}
{"role": "volunteer", "content": "1/x. x=-1/2", "session_id": 5777, "sequence_id": 243, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 5777, "sequence_id": 244, "annotations": []}
{"role": "volunteer", "content": "flip upside down", "session_id": 5777, "sequence_id": 245, "annotations": []}
{"role": "student", "content": "so f(-1/2)=1/-1/2?", "session_id": 5777, "sequence_id": 246, "annotations": []}
{"role": "volunteer", "content": "yeah", "session_id": 5777, "sequence_id": 247, "annotations": []}
{"role": "volunteer", "content": "find reciprocal", "session_id": 5777, "sequence_id": 248, "annotations": []}
{"role": "volunteer", "content": "of -1/2", "session_id": 5777, "sequence_id": 249, "annotations": []}
{"role": "student", "content": "-2", "session_id": 5777, "sequence_id": 250, "annotations": []}
{"role": "volunteer", "content": "yeah", "session_id": 5777, "sequence_id": 251, "annotations": []}
{"role": "volunteer", "content": "f(-1/2)=-2. f'(-1/2)=-4", "session_id": 5777, "sequence_id": 252, "annotations": []}
{"role": "volunteer", "content": "again, multiply times 2", "session_id": 5777, "sequence_id": 253, "annotations": []}
{"role": "volunteer", "content": "what is the function for f' ?", "session_id": 5777, "sequence_id": 254, "annotations": []}
{"role": "student", "content": "f'(x)=1/x-h?", "session_id": 5777, "sequence_id": 255, "annotations": []}
{"role": "volunteer", "content": "no", "session_id": 5777, "sequence_id": 256, "annotations": []}
{"role": "volunteer", "content": "start with parent function. multiply times 2", "session_id": 5777, "sequence_id": 257, "annotations": []}
{"role": "student", "content": "2/2x", "session_id": 5777, "sequence_id": 258, "annotations": []}
{"role": "volunteer", "content": "no", "session_id": 5777, "sequence_id": 259, "annotations": []}
{"role": "volunteer", "content": "2 on top and bottom both takes you back to 1/x", "session_id": 5777, "sequence_id": 260, "annotations": []}
{"role": "volunteer", "content": "2 times 1/x", "session_id": 5777, "sequence_id": 261, "annotations": []}
{"role": "student", "content": "wouldnt it be 2/2x", "session_id": 5777, "sequence_id": 262, "annotations": []}
{"role": "volunteer", "content": "2/2 times 1/x is 2/2x=1/x", "session_id": 5777, "sequence_id": 263, "annotations": []}
{"role": "volunteer", "content": "2 times 1/x is 2/1 times 1/x", "session_id": 5777, "sequence_id": 264, "annotations": []}
{"role": "volunteer", "content": "multiply the tops, multiply the bottoms", "session_id": 5777, "sequence_id": 265, "annotations": []}
{"role": "student", "content": "oh so 2/x", "session_id": 5777, "sequence_id": 266, "annotations": []}
{"role": "volunteer", "content": "yeah", "session_id": 5777, "sequence_id": 267, "annotations": []}
{"role": "volunteer", "content": "#7 looks like shift left and shift down. I'm leaving now, but you should be able to figure out the details", "session_id": 5777, "sequence_id": 268, "annotations": []}
{"role": "student", "content": "ok bye", "session_id": 5777, "sequence_id": 269, "annotations": []}
{"role": "volunteer", "content": "bye", "session_id": 5777, "sequence_id": 270, "annotations": []}
{"role": "volunteer", "content": "Hello Sarah! I'm Mr. Davies, how are you today?", "session_id": 8674, "sequence_id": 0, "annotations": [{"pii_type": "PERSON", "surrogate": "Sarah", "start": 6, "end": 11}, {"pii_type": "PERSON", "surrogate": "Mr. Davies", "start": 17, "end": 27}]}
{"role": "student", "content": "Hello?", "session_id": 8674, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "I'm good. No, no, that's doesn't tell me anything. What's your status? How many you got done before you left?", "session_id": 8674, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "Sorry that was my mom. Huh? Sorry, that was my mom. You say what?", "session_id": 8674, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "Oh, OK", "session_id": 8674, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "That's good, thanks for choosing Sarah, what could I help you with?", "session_id": 8674, "sequence_id": 5, "annotations": [{"pii_type": "PERSON", "surrogate": "Sarah", "start": 33, "end": 38}]}
{"role": "student", "content": "I'm about to upload it right now.", "session_id": 8674, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "but uh", "session_id": 8674, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "hold on", "session_id": 8674, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "Alright", "session_id": 8674, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "All right. All right now I'm about to go now", "session_id": 8674, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "I,", "session_id": 8674, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "uh", "session_id": 8674, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "here we go", "session_id": 8674, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "Yeah, you see.", "session_id": 8674, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "Yeah, I see it", "session_id": 8674, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "Yeah, I need help.", "session_id": 8674, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "uh, with the second part of this question.", "session_id": 8674, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "Alright one second let me take a look.", "session_id": 8674, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "Give me just a few while I work it out Sarah.", "session_id": 8674, "sequence_id": 19, "annotations": [{"pii_type": "PERSON", "surrogate": "Sarah", "start": 39, "end": 44}]}
{"role": "student", "content": "OK", "session_id": 8674, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "Sorry re upload the document for me, and idk if you can make it bigger", "session_id": 8674, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "Okay Sarah, so for the first one.", "session_id": 8674, "sequence_id": 22, "annotations": [{"pii_type": "PERSON", "surrogate": "Sarah", "start": 5, "end": 10}]}
{"role": "volunteer", "content": "Alright so as you can see, one thing you can do is put dots at each corner, and label them ABCD, that helps you keep track.", "session_id": 8674, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "OK", "session_id": 8674, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "But you got to make sure ABCD corresponds so the top one's A has to be the same for the bottom", "session_id": 8674, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "OK", "session_id": 8674, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "And so forth, and after you label them, write down each points, so do figure A first then figure B and write down each point.", "session_id": 8674, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "Uh-huh", "session_id": 8674, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "Hello", "session_id": 8674, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "Yes Sarah", "session_id": 8674, "sequence_id": 30, "annotations": [{"pii_type": "PERSON", "surrogate": "Sarah", "start": 4, "end": 9}]}
{"role": "student", "content": "You said we should write down", "session_id": 8674, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "the points", "session_id": 8674, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "Yeah, write down each point for ABCD for both Figure A and B", "session_id": 8674, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "Aren't they already up", "session_id": 8674, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "They're plotted but in order to check you'll need a point to do the formulas on", "session_id": 8674, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "Oh.", "session_id": 8674, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "like", "session_id": 8674, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "42", "session_id": 8674, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "for figure A", "session_id": 8674, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "or", "session_id": 8674, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "Okay, that's point B, we can use that", "session_id": 8674, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "Oh, I see what you mean", "session_id": 8674, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "Now take point B on figure B", "session_id": 8674, "sequence_id": 43, "annotations": []}
{"role": "student", "content": "Uh, what", "session_id": 8674, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "Should I write that down for you?", "session_id": 8674, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "next to B", "session_id": 8674, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "Yes put Figure A then B: (4,2)", "session_id": 8674, "sequence_id": 47, "annotations": []}
{"role": "student", "content": "All right. Uh", "session_id": 8674, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "can, can you do that for me on the screen, they would actually have it better like.", "session_id": 8674, "sequence_id": 49, "annotations": []}
{"role": "student", "content": "wait, I, I never asked you, uh.", "session_id": 8674, "sequence_id": 50, "annotations": []}
{"role": "student", "content": "let's see, 4.", "session_id": 8674, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "OK", "session_id": 8674, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "Alright, what'd you get for figure B?", "session_id": 8674, "sequence_id": 53, "annotations": []}
{"role": "student", "content": "We'll figure", "session_id": 8674, "sequence_id": 54, "annotations": []}
{"role": "student", "content": "Right, that would be", "session_id": 8674, "sequence_id": 55, "annotations": []}
{"role": "student", "content": "OK. Well, I figured B.", "session_id": 8674, "sequence_id": 56, "annotations": []}
{"role": "student", "content": "point B is", "session_id": 8674, "sequence_id": 57, "annotations": []}
{"role": "student", "content": "26.", "session_id": 8674, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "Right", "session_id": 8674, "sequence_id": 59, "annotations": []}
{"role": "student", "content": "OK", "session_id": 8674, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "Alright now did your school give you a formula/formulas for rotation?", "session_id": 8674, "sequence_id": 61, "annotations": []}
{"role": "student", "content": "No", "session_id": 8674, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "Ohhh, so how do you find rotations?", "session_id": 8674, "sequence_id": 63, "annotations": []}
{"role": "student", "content": "I feel like uh", "session_id": 8674, "sequence_id": 64, "annotations": []}
{"role": "student", "content": "it's cause uh here it says", "session_id": 8674, "sequence_id": 65, "annotations": []}
{"role": "student", "content": "what is the church for?", "session_id": 8674, "sequence_id": 66, "annotations": []}
{"role": "student", "content": "I'm gonna go back to it", "session_id": 8674, "sequence_id": 67, "annotations": []}
{"role": "student", "content": "It says one separation chase razor for figure C R D", "session_id": 8674, "sequence_id": 68, "annotations": []}
{"role": "student", "content": "I could tell that it's rotating.", "session_id": 8674, "sequence_id": 69, "annotations": []}
{"role": "student", "content": "I could tell it is. I just don't know like which which way is it clockwise 180 or car clockwise 90, you know.", "session_id": 8674, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "Right", "session_id": 8674, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "That's the thing because I got a formula chart but I don't want to confuse you with something different than the way you learn it", "session_id": 8674, "sequence_id": 72, "annotations": []}
{"role": "student", "content": "I'll think it'd be easier for me to chart.", "session_id": 8674, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "Alright let me see something really quick", "session_id": 8674, "sequence_id": 74, "annotations": []}
{"role": "volunteer", "content": "And is the choice multiple choice or you can only choose one?", "session_id": 8674, "sequence_id": 75, "annotations": []}
{"role": "student", "content": "Uh, you could choose only one.", "session_id": 8674, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "Alright so let me walk you through it", "session_id": 8674, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "Okay so for the first one for question 1 it says to translate figure A to the left 4 units", "session_id": 8674, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "So take Figure A's point which is (4,2) and subtract 4 to the left", "session_id": 8674, "sequence_id": 79, "annotations": []}
{"role": "student", "content": "Gotcha", "session_id": 8674, "sequence_id": 80, "annotations": []}
{"role": "student", "content": "All right, 4 to the left.", "session_id": 8674, "sequence_id": 81, "annotations": []}
{"role": "student", "content": "That means it'll be on", "session_id": 8674, "sequence_id": 82, "annotations": []}
{"role": "student", "content": "on", "session_id": 8674, "sequence_id": 83, "annotations": []}
{"role": "student", "content": "I believe", "session_id": 8674, "sequence_id": 84, "annotations": []}
{"role": "student", "content": "2, I mean, -3 and 2.", "session_id": 8674, "sequence_id": 85, "annotations": []}
{"role": "student", "content": "Let's talk about figure A on the first one, correct?", "session_id": 8674, "sequence_id": 86, "annotations": []}
{"role": "volunteer", "content": "Yes", "session_id": 8674, "sequence_id": 87, "annotations": []}
{"role": "student", "content": "Yeah, well, if it score of 4 to the left, that would be beyond", "session_id": 8674, "sequence_id": 88, "annotations": []}
{"role": "student", "content": "Well, yeah, I think", "session_id": 8674, "sequence_id": 89, "annotations": []}
{"role": "student", "content": "maybe", "session_id": 8674, "sequence_id": 90, "annotations": []}
{"role": "volunteer", "content": "Remember X is left and right, Y is up and down", "session_id": 8674, "sequence_id": 91, "annotations": []}
{"role": "student", "content": "oh no, it's 2.", "session_id": 8674, "sequence_id": 92, "annotations": []}
{"role": "student", "content": "Yeah, it's", "session_id": 8674, "sequence_id": 93, "annotations": []}
{"role": "student", "content": "-2 and 2.", "session_id": 8674, "sequence_id": 94, "annotations": []}
{"role": "student", "content": "I mean, that's what it is, at least from all points.", "session_id": 8674, "sequence_id": 95, "annotations": []}
{"role": "volunteer", "content": "Nott all the wayy, so look", "session_id": 8674, "sequence_id": 96, "annotations": []}
{"role": "volunteer", "content": "So B right is (4,2)", "session_id": 8674, "sequence_id": 97, "annotations": []}
{"role": "volunteer", "content": "Our x is 4, our y is 2", "session_id": 8674, "sequence_id": 98, "annotations": []}
{"role": "volunteer", "content": "So subtract 4 from 4", "session_id": 8674, "sequence_id": 99, "annotations": []}
{"role": "student", "content": "0", "session_id": 8674, "sequence_id": 100, "annotations": []}
{"role": "volunteer", "content": "because you're moving to the left, so it's subtracting, anyhow you were moving to the right it would be addition", "session_id": 8674, "sequence_id": 101, "annotations": []}
{"role": "volunteer", "content": "Alright so 0,2", "session_id": 8674, "sequence_id": 102, "annotations": []}
{"role": "volunteer", "content": "Now compare that with point B on Figure B, does it match?", "session_id": 8674, "sequence_id": 103, "annotations": []}
{"role": "student", "content": "Gotcha", "session_id": 8674, "sequence_id": 104, "annotations": []}
{"role": "student", "content": "OK", "session_id": 8674, "sequence_id": 105, "annotations": []}
{"role": "student", "content": "Uh", "session_id": 8674, "sequence_id": 106, "annotations": []}
{"role": "student", "content": "I think it does.", "session_id": 8674, "sequence_id": 107, "annotations": []}
{"role": "volunteer", "content": "Right", "session_id": 8674, "sequence_id": 108, "annotations": []}
{"role": "volunteer", "content": "It doesnt", "session_id": 8674, "sequence_id": 109, "annotations": []}
{"role": "volunteer", "content": "(0,2) on Figure A; (2,-6) on Figure B, doesn't match", "session_id": 8674, "sequence_id": 110, "annotations": []}
{"role": "volunteer", "content": "So the first one is wrong", "session_id": 8674, "sequence_id": 111, "annotations": []}
{"role": "volunteer", "content": "Alright, we can do the same for the second one, except it's down, so we subtract four from Y\n\n(4,2)", "session_id": 8674, "sequence_id": 112, "annotations": []}
{"role": "volunteer", "content": "(4,2)\n  -4", "session_id": 8674, "sequence_id": 113, "annotations": []}
{"role": "student", "content": "I don't even think that", "session_id": 8674, "sequence_id": 114, "annotations": []}
{"role": "student", "content": "I'll take that a second is right either.", "session_id": 8674, "sequence_id": 115, "annotations": []}
{"role": "volunteer", "content": "Nope, it's not", "session_id": 8674, "sequence_id": 116, "annotations": []}
{"role": "student", "content": "Oh Mrs. Smith said the ones I have it down to.", "session_id": 8674, "sequence_id": 117, "annotations": [{"pii_type": "PERSON", "surrogate": "Mrs. Smith", "start": 3, "end": 13}]}
{"role": "volunteer", "content": "So now we have the reflects and rotates", "session_id": 8674, "sequence_id": 118, "annotations": []}
{"role": "student", "content": "Oh yes", "session_id": 8674, "sequence_id": 119, "annotations": []}
{"role": "volunteer", "content": "So let me give you the formulas for reflect, write it down", "session_id": 8674, "sequence_id": 120, "annotations": []}
{"role": "student", "content": "OK", "session_id": 8674, "sequence_id": 121, "annotations": []}
{"role": "volunteer", "content": "Reflect over x-axis:\n\n(x, -y) -> Y becomes negative\n\nReflect of y-axis:\n\n(-x, y) -> X becomes negative", "session_id": 8674, "sequence_id": 122, "annotations": []}
{"role": "student", "content": "OK", "session_id": 8674, "sequence_id": 123, "annotations": []}
{"role": "volunteer", "content": "Alright so let's try the third option", "session_id": 8674, "sequence_id": 124, "annotations": []}
{"role": "volunteer", "content": "So we gotta reflect A over the x axis so apply the point (4,2) to the reflection rules", "session_id": 8674, "sequence_id": 125, "annotations": []}
{"role": "student", "content": "So then it would be", "session_id": 8674, "sequence_id": 126, "annotations": []}
{"role": "student", "content": "-42", "session_id": 8674, "sequence_id": 127, "annotations": []}
{"role": "volunteer", "content": "Over x axis, remember the formula", "session_id": 8674, "sequence_id": 128, "annotations": []}
{"role": "volunteer", "content": "(x, -y)", "session_id": 8674, "sequence_id": 129, "annotations": []}
{"role": "student", "content": "All right. All right. So I meant say.", "session_id": 8674, "sequence_id": 130, "annotations": []}
{"role": "student", "content": "42", "session_id": 8674, "sequence_id": 131, "annotations": []}
{"role": "student", "content": "Oh", "session_id": 8674, "sequence_id": 132, "annotations": []}
{"role": "volunteer", "content": "Yeaaa", "session_id": 8674, "sequence_id": 133, "annotations": []}
{"role": "volunteer", "content": "So when we compare that to Figure B it doesn't match so that's out", "session_id": 8674, "sequence_id": 134, "annotations": []}
{"role": "volunteer", "content": "Now do the same for over the y-axis", "session_id": 8674, "sequence_id": 135, "annotations": []}
{"role": "student", "content": "42", "session_id": 8674, "sequence_id": 136, "annotations": []}
{"role": "volunteer", "content": "That's it, still doesn't match so now those two are out", "session_id": 8674, "sequence_id": 137, "annotations": []}
{"role": "volunteer", "content": "Alright so now we only have the last 3,", "session_id": 8674, "sequence_id": 138, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 8674, "sequence_id": 139, "annotations": []}
{"role": "volunteer", "content": "So the rules for rotation I have right", "session_id": 8674, "sequence_id": 140, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 8674, "sequence_id": 141, "annotations": []}
{"role": "student", "content": "the last to July.", "session_id": 8674, "sequence_id": 142, "annotations": []}
{"role": "student", "content": "you it", "session_id": 8674, "sequence_id": 143, "annotations": []}
{"role": "student", "content": "or", "session_id": 8674, "sequence_id": 144, "annotations": []}
{"role": "volunteer", "content": "Rotation 90* clockwise\n\n(y, -x)", "session_id": 8674, "sequence_id": 145, "annotations": []}
{"role": "student", "content": "I", "session_id": 8674, "sequence_id": 146, "annotations": []}
{"role": "student", "content": "they're.", "session_id": 8674, "sequence_id": 147, "annotations": []}
{"role": "student", "content": "all", "session_id": 8674, "sequence_id": 148, "annotations": []}
{"role": "student", "content": "and", "session_id": 8674, "sequence_id": 149, "annotations": []}
{"role": "volunteer", "content": "Rotation 180* counterclockwise\n\n(-x, -y)", "session_id": 8674, "sequence_id": 150, "annotations": []}
{"role": "student", "content": "Um", "session_id": 8674, "sequence_id": 151, "annotations": []}
{"role": "volunteer", "content": "Alright, and did your teacher teach you subtract rotate add?", "session_id": 8674, "sequence_id": 152, "annotations": []}
{"role": "student", "content": "no", "session_id": 8674, "sequence_id": 153, "annotations": []}
{"role": "volunteer", "content": "Okay, well basically to sum it up right,", "session_id": 8674, "sequence_id": 154, "annotations": []}
{"role": "volunteer", "content": "First you subtract whatever point they give you from the original point you're using so in this case our point is (4,2), you would subtract the origin", "session_id": 8674, "sequence_id": 155, "annotations": []}
{"role": "volunteer", "content": "Which we know is (0,0) so you don't gotta subtract anything because you'll get the same number", "session_id": 8674, "sequence_id": 156, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 8674, "sequence_id": 157, "annotations": []}
{"role": "volunteer", "content": "So in this case we just rotate, so do (4,2) with 90* clockwise rule", "session_id": 8674, "sequence_id": 158, "annotations": []}
{"role": "volunteer", "content": "(y, -x)", "session_id": 8674, "sequence_id": 159, "annotations": []}
{"role": "student", "content": "So", "session_id": 8674, "sequence_id": 160, "annotations": []}
{"role": "student", "content": "42.", "session_id": 8674, "sequence_id": 161, "annotations": []}
{"role": "volunteer", "content": "Remember to swap places with the numbers", "session_id": 8674, "sequence_id": 162, "annotations": []}
{"role": "student", "content": "So, like,", "session_id": 8674, "sequence_id": 163, "annotations": []}
{"role": "volunteer", "content": "So 4 is X, 2 is Y", "session_id": 8674, "sequence_id": 164, "annotations": []}
{"role": "student", "content": "24", "session_id": 8674, "sequence_id": 165, "annotations": []}
{"role": "volunteer", "content": "Yeaaa", "session_id": 8674, "sequence_id": 166, "annotations": []}
{"role": "student", "content": "uh", "session_id": 8674, "sequence_id": 167, "annotations": []}
{"role": "student", "content": "let's see, let's see", "session_id": 8674, "sequence_id": 168, "annotations": []}
{"role": "volunteer", "content": "Right, and that doesn't match to (2, -6)", "session_id": 8674, "sequence_id": 169, "annotations": []}
{"role": "volunteer", "content": "So that's out", "session_id": 8674, "sequence_id": 170, "annotations": []}
{"role": "volunteer", "content": "And then the last one, 180* counterclockwise", "session_id": 8674, "sequence_id": 171, "annotations": []}
{"role": "student", "content": "Oh", "session_id": 8674, "sequence_id": 172, "annotations": []}
{"role": "volunteer", "content": "What point did you get?", "session_id": 8674, "sequence_id": 173, "annotations": []}
{"role": "student", "content": "Well", "session_id": 8674, "sequence_id": 174, "annotations": []}
{"role": "student", "content": "this is the same point as last time, right? 42?", "session_id": 8674, "sequence_id": 175, "annotations": []}
{"role": "volunteer", "content": "Yes", "session_id": 8674, "sequence_id": 176, "annotations": []}
{"role": "student", "content": "But, but this time we're the rotation, the, the", "session_id": 8674, "sequence_id": 177, "annotations": []}
{"role": "student", "content": "the counter clock rotation formula", "session_id": 8674, "sequence_id": 178, "annotations": []}
{"role": "volunteer", "content": "And the rule is (-x, -y)", "session_id": 8674, "sequence_id": 179, "annotations": []}
{"role": "volunteer", "content": "Sarah", "session_id": 8674, "sequence_id": 180, "annotations": [{"pii_type": "PERSON", "surrogate": "Sarah", "start": 0, "end": 5}]}
{"role": "student", "content": "So that means it would be", "session_id": 8674, "sequence_id": 181, "annotations": []}
{"role": "student", "content": "-4 -2.", "session_id": 8674, "sequence_id": 182, "annotations": []}
{"role": "volunteer", "content": "Right, and that also doesn't match", "session_id": 8674, "sequence_id": 183, "annotations": []}
{"role": "student", "content": "So it's none of these", "session_id": 8674, "sequence_id": 184, "annotations": []}
{"role": "volunteer", "content": "So there's no option outside of the last one", "session_id": 8674, "sequence_id": 185, "annotations": []}
{"role": "student", "content": "But I would question", "session_id": 8674, "sequence_id": 186, "annotations": []}
{"role": "volunteer", "content": "Sarah", "session_id": 8674, "sequence_id": 187, "annotations": [{"pii_type": "PERSON", "surrogate": "Sarah", "start": 0, "end": 5}]}
{"role": "student", "content": "if, if those two figures were congruent, and the exact same places.", "session_id": 8674, "sequence_id": 188, "annotations": []}
{"role": "student", "content": "what", "session_id": 8674, "sequence_id": 189, "annotations": []}
{"role": "student", "content": "were rotating be one of them.", "session_id": 8674, "sequence_id": 190, "annotations": []}
{"role": "volunteer", "content": "So if they were the same size right it would probably be rotating", "session_id": 8674, "sequence_id": 191, "annotations": []}
{"role": "student", "content": "Oh, OK, I see.", "session_id": 8674, "sequence_id": 192, "annotations": []}
{"role": "student", "content": "I see", "session_id": 8674, "sequence_id": 193, "annotations": []}
{"role": "volunteer", "content": "But seeing as how it got bigger, it's dialation and as you said it's not congruent", "session_id": 8674, "sequence_id": 194, "annotations": []}
{"role": "student", "content": "So the second part of the question", "session_id": 8674, "sequence_id": 195, "annotations": []}
{"role": "student", "content": "right", "session_id": 8674, "sequence_id": 196, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 8674, "sequence_id": 197, "annotations": []}
{"role": "volunteer", "content": "So we could've easily pointed out that it's none of these, but just so you get the jist of it", "session_id": 8674, "sequence_id": 198, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 8674, "sequence_id": 199, "annotations": []}
{"role": "student", "content": "I mean, it just by looking at the second question, I could tell that.", "session_id": 8674, "sequence_id": 200, "annotations": []}
{"role": "student", "content": "it's rotating because.", "session_id": 8674, "sequence_id": 201, "annotations": []}
{"role": "student", "content": "you know, it's definitely that reflecting and it's definitely not transity at all.", "session_id": 8674, "sequence_id": 202, "annotations": []}
{"role": "student", "content": "And their book grew it, so", "session_id": 8674, "sequence_id": 203, "annotations": []}
{"role": "student", "content": "I could tell it could, it could be rotating.", "session_id": 8674, "sequence_id": 204, "annotations": []}
{"role": "volunteer", "content": "Let me take a look at it real quick", "session_id": 8674, "sequence_id": 205, "annotations": []}
{"role": "student", "content": "I", "session_id": 8674, "sequence_id": 206, "annotations": []}
{"role": "volunteer", "content": "Right so we can tell this is congruent because it didn't grow in size, now we just gotta see which option it is", "session_id": 8674, "sequence_id": 207, "annotations": []}
{"role": "volunteer", "content": "Can you tell me the points for A on both figure C and D?", "session_id": 8674, "sequence_id": 208, "annotations": []}
{"role": "student", "content": "OK", "session_id": 8674, "sequence_id": 209, "annotations": []}
{"role": "student", "content": "OK", "session_id": 8674, "sequence_id": 210, "annotations": []}
{"role": "student", "content": "A would be", "session_id": 8674, "sequence_id": 211, "annotations": []}
{"role": "student", "content": "4", "session_id": 8674, "sequence_id": 212, "annotations": []}
{"role": "student", "content": "and 6 for figure C.", "session_id": 8674, "sequence_id": 213, "annotations": []}
{"role": "student", "content": "and I figured it would be", "session_id": 8674, "sequence_id": 214, "annotations": []}
{"role": "student", "content": "64.", "session_id": 8674, "sequence_id": 215, "annotations": []}
{"role": "volunteer", "content": "Okay, thank you", "session_id": 8674, "sequence_id": 216, "annotations": []}
{"role": "volunteer", "content": "Okay so going through the options, if we go to the right 6, what do we get?", "session_id": 8674, "sequence_id": 217, "annotations": []}
{"role": "student", "content": "Um", "session_id": 8674, "sequence_id": 218, "annotations": []}
{"role": "student", "content": "OK", "session_id": 8674, "sequence_id": 219, "annotations": []}
{"role": "volunteer", "content": "Remember X is left and right (horizontal), Y is vertical (up and down)", "session_id": 8674, "sequence_id": 220, "annotations": []}
{"role": "student", "content": "Well", "session_id": 8674, "sequence_id": 221, "annotations": []}
{"role": "student", "content": "I went right 6 then.", "session_id": 8674, "sequence_id": 222, "annotations": []}
{"role": "student", "content": "point A would be on", "session_id": 8674, "sequence_id": 223, "annotations": []}
{"role": "student", "content": "I think", "session_id": 8674, "sequence_id": 224, "annotations": []}
{"role": "student", "content": "34", "session_id": 8674, "sequence_id": 225, "annotations": []}
{"role": "volunteer", "content": "We're using figure C's A to see if it maps on to figure D, my bad for not letting it be known!", "session_id": 8674, "sequence_id": 226, "annotations": []}
{"role": "volunteer", "content": "So the point we're using is (4,6)", "session_id": 8674, "sequence_id": 227, "annotations": []}
{"role": "student", "content": "OK", "session_id": 8674, "sequence_id": 228, "annotations": []}
{"role": "volunteer", "content": "and you add 6 to 4, since we're going right (positive)", "session_id": 8674, "sequence_id": 229, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 8674, "sequence_id": 230, "annotations": []}
{"role": "student", "content": "Um", "session_id": 8674, "sequence_id": 231, "annotations": []}
{"role": "student", "content": "Excuse me", "session_id": 8674, "sequence_id": 232, "annotations": []}
{"role": "volunteer", "content": "Okay so it would be (10,6) correct/", "session_id": 8674, "sequence_id": 233, "annotations": []}
{"role": "student", "content": "Uh-huh", "session_id": 8674, "sequence_id": 234, "annotations": []}
{"role": "volunteer", "content": "Alright, so that doesn't match to (-6,4)", "session_id": 8674, "sequence_id": 235, "annotations": []}
{"role": "student", "content": "Wait, so that means that.", "session_id": 8674, "sequence_id": 236, "annotations": []}
{"role": "volunteer", "content": "So you know what, instead of me stressing you out right, we can clearly tell it's not gonna be translate and the reason why is because they're both going up", "session_id": 8674, "sequence_id": 237, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 8674, "sequence_id": 238, "annotations": []}
{"role": "student", "content": "I already had that to rotate it.", "session_id": 8674, "sequence_id": 239, "annotations": []}
{"role": "volunteer", "content": "And we're trying to get to (-6,4) so we can't be going up if we're tryna get negative", "session_id": 8674, "sequence_id": 240, "annotations": []}
{"role": "volunteer", "content": "Yea so we can cancel those two, make it easierr", "session_id": 8674, "sequence_id": 241, "annotations": []}
{"role": "student", "content": "But yeah", "session_id": 8674, "sequence_id": 242, "annotations": []}
{"role": "volunteer", "content": "Now reflections, do you still have the rule?", "session_id": 8674, "sequence_id": 243, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 8674, "sequence_id": 244, "annotations": []}
{"role": "volunteer", "content": "So over the x axis\n(x, -y)\n\n(4,6)", "session_id": 8674, "sequence_id": 245, "annotations": []}
{"role": "volunteer", "content": "What would it be?", "session_id": 8674, "sequence_id": 246, "annotations": []}
{"role": "student", "content": "It would be 4-6.", "session_id": 8674, "sequence_id": 247, "annotations": []}
{"role": "volunteer", "content": "So, doesn't work", "session_id": 8674, "sequence_id": 248, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 8674, "sequence_id": 249, "annotations": []}
{"role": "volunteer", "content": "Does the second option work?", "session_id": 8674, "sequence_id": 250, "annotations": []}
{"role": "student", "content": "Uh, no.", "session_id": 8674, "sequence_id": 251, "annotations": []}
{"role": "student", "content": "Cause of the rule for that one, that one is uh", "session_id": 8674, "sequence_id": 252, "annotations": []}
{"role": "student", "content": "why", "session_id": 8674, "sequence_id": 253, "annotations": []}
{"role": "student", "content": "and X, correct?", "session_id": 8674, "sequence_id": 254, "annotations": []}
{"role": "student", "content": "And that would be", "session_id": 8674, "sequence_id": 255, "annotations": []}
{"role": "volunteer", "content": "The rule for over the y-axis is (-x, y)", "session_id": 8674, "sequence_id": 256, "annotations": []}
{"role": "student", "content": "6 and 4.", "session_id": 8674, "sequence_id": 257, "annotations": []}
{"role": "student", "content": "When you said send it to me to text message", "session_id": 8674, "sequence_id": 258, "annotations": []}
{"role": "student", "content": "I was flipped", "session_id": 8674, "sequence_id": 259, "annotations": []}
{"role": "student", "content": "But OK", "session_id": 8674, "sequence_id": 260, "annotations": []}
{"role": "volunteer", "content": "So x-axis is \n(x, -y)\n\nY-axis is (-x, y)", "session_id": 8674, "sequence_id": 261, "annotations": []}
{"role": "volunteer", "content": "The one your speaking of is rotations which is next", "session_id": 8674, "sequence_id": 262, "annotations": []}
{"role": "student", "content": "That one says who you see is rotating clockwise 180.", "session_id": 8674, "sequence_id": 263, "annotations": []}
{"role": "volunteer", "content": "Right so we know its rotation but which one? So let me send you the rules", "session_id": 8674, "sequence_id": 264, "annotations": []}
{"role": "volunteer", "content": "Clockwise 180*\n(-x, -y)\n\nCounterclockwise 90*\n(-y, x)", "session_id": 8674, "sequence_id": 265, "annotations": []}
{"role": "volunteer", "content": "Solve those two from (4,6)", "session_id": 8674, "sequence_id": 266, "annotations": []}
{"role": "volunteer", "content": "What did you get?", "session_id": 8674, "sequence_id": 267, "annotations": []}
{"role": "student", "content": "Uh", "session_id": 8674, "sequence_id": 268, "annotations": []}
{"role": "student", "content": "-4, -6.", "session_id": 8674, "sequence_id": 269, "annotations": []}
{"role": "student", "content": "and", "session_id": 8674, "sequence_id": 270, "annotations": []}
{"role": "student", "content": "64.", "session_id": 8674, "sequence_id": 271, "annotations": []}
{"role": "volunteer", "content": "Correct", "session_id": 8674, "sequence_id": 272, "annotations": []}
{"role": "student", "content": "I have to go to the bathroom real quick. I'll be back.", "session_id": 8674, "sequence_id": 273, "annotations": []}
{"role": "volunteer", "content": "Alrighty", "session_id": 8674, "sequence_id": 274, "annotations": []}
{"role": "student", "content": "You want some more food", "session_id": 8674, "sequence_id": 275, "annotations": []}
{"role": "student", "content": "huh", "session_id": 8674, "sequence_id": 276, "annotations": []}
{"role": "student", "content": "You want some more food.", "session_id": 8674, "sequence_id": 277, "annotations": []}
{"role": "student", "content": "I'm back", "session_id": 8674, "sequence_id": 278, "annotations": []}
{"role": "volunteer", "content": "Alright broskii, so looking at the two we just did", "session_id": 8674, "sequence_id": 279, "annotations": []}
{"role": "volunteer", "content": "Compare those to figure D's point A which is (-6, 4)", "session_id": 8674, "sequence_id": 280, "annotations": []}
{"role": "volunteer", "content": "Which one works?", "session_id": 8674, "sequence_id": 281, "annotations": []}
{"role": "student", "content": "Um", "session_id": 8674, "sequence_id": 282, "annotations": []}
{"role": "student", "content": "let's see", "session_id": 8674, "sequence_id": 283, "annotations": []}
{"role": "student", "content": "I think it's the clockwise one.", "session_id": 8674, "sequence_id": 284, "annotations": []}
{"role": "volunteer", "content": "Not quitee, look at them again", "session_id": 8674, "sequence_id": 285, "annotations": []}
{"role": "volunteer", "content": "You said, (-4,-6), that was the clockwise", "session_id": 8674, "sequence_id": 286, "annotations": []}
{"role": "volunteer", "content": "And (-6,4) was the counterclockwise", "session_id": 8674, "sequence_id": 287, "annotations": []}
{"role": "volunteer", "content": "So that would mean the counterclockwise one is the one that works", "session_id": 8674, "sequence_id": 288, "annotations": []}
{"role": "student", "content": "Oh", "session_id": 8674, "sequence_id": 289, "annotations": []}
{"role": "volunteer", "content": "You see it?", "session_id": 8674, "sequence_id": 290, "annotations": []}
{"role": "student", "content": "he", "session_id": 8674, "sequence_id": 291, "annotations": []}
{"role": "student", "content": "I'll try to look to see.", "session_id": 8674, "sequence_id": 292, "annotations": []}
{"role": "student", "content": "All right", "session_id": 8674, "sequence_id": 293, "annotations": []}
{"role": "student", "content": "I think I understand it", "session_id": 8674, "sequence_id": 294, "annotations": []}
{"role": "student", "content": "Uh, yeah, it says I got it right.", "session_id": 8674, "sequence_id": 295, "annotations": []}
{"role": "volunteer", "content": "I wanna make sure bro! Whatever you don't understand let me know", "session_id": 8674, "sequence_id": 296, "annotations": []}
{"role": "student", "content": "The time for more questions.", "session_id": 8674, "sequence_id": 297, "annotations": []}
{"role": "volunteer", "content": "Of course.", "session_id": 8674, "sequence_id": 298, "annotations": []}
{"role": "student", "content": "OK", "session_id": 8674, "sequence_id": 299, "annotations": []}
{"role": "student", "content": "Well", "session_id": 8674, "sequence_id": 300, "annotations": []}
{"role": "volunteer", "content": "But just to make sure you get it, you sure you get it?", "session_id": 8674, "sequence_id": 301, "annotations": []}
{"role": "student", "content": "Uh, oops, I got kicked out. I need to get back into it. Hold on.", "session_id": 8674, "sequence_id": 302, "annotations": []}
{"role": "student", "content": "Uh, yes, I understand it", "session_id": 8674, "sequence_id": 303, "annotations": []}
{"role": "volunteer", "content": "No problem, okay I'm gonna delete this so I can upload the formula chart so you can use", "session_id": 8674, "sequence_id": 304, "annotations": []}
{"role": "student", "content": "OK", "session_id": 8674, "sequence_id": 305, "annotations": []}
{"role": "volunteer", "content": "Give me one minute, let me go take a picture so I can upload it.", "session_id": 8674, "sequence_id": 306, "annotations": []}
{"role": "student", "content": "OK, I see I'm not a snipping and upload it.", "session_id": 8674, "sequence_id": 307, "annotations": []}
{"role": "volunteer", "content": "Alrighty.", "session_id": 8674, "sequence_id": 308, "annotations": []}
{"role": "student", "content": "Shoot", "session_id": 8674, "sequence_id": 309, "annotations": []}
{"role": "student", "content": "Oh", "session_id": 8674, "sequence_id": 310, "annotations": []}
{"role": "student", "content": "you see it", "session_id": 8674, "sequence_id": 311, "annotations": []}
{"role": "volunteer", "content": "Okay, I'm back, yes i see it", "session_id": 8674, "sequence_id": 312, "annotations": []}
{"role": "volunteer", "content": "Okay, one moment let me look", "session_id": 8674, "sequence_id": 313, "annotations": []}
{"role": "student", "content": "OK", "session_id": 8674, "sequence_id": 314, "annotations": []}
{"role": "volunteer", "content": "Alright so let's go with part A, the ratios of ABC", "session_id": 8674, "sequence_id": 315, "annotations": []}
{"role": "volunteer", "content": "Do you understand what to do for this?", "session_id": 8674, "sequence_id": 316, "annotations": []}
{"role": "student", "content": "Uh, I honestly don't understand this at all.", "session_id": 8674, "sequence_id": 317, "annotations": []}
{"role": "volunteer", "content": "Alright so it says ABC and DEF are similar, not congruent but similar", "session_id": 8674, "sequence_id": 318, "annotations": []}
{"role": "volunteer", "content": "Then it says we're trying to find the ratios of lengths of sides ABC", "session_id": 8674, "sequence_id": 319, "annotations": []}
{"role": "volunteer", "content": "So for the first one AB/AC what tgey did is took the side lengths", "session_id": 8674, "sequence_id": 320, "annotations": []}
{"role": "volunteer", "content": "Righrt which would be 6/10, you see that?", "session_id": 8674, "sequence_id": 321, "annotations": []}
{"role": "volunteer", "content": "Side AB = 6\nSide AC = 10", "session_id": 8674, "sequence_id": 322, "annotations": []}
{"role": "student", "content": "Yes, I see that", "session_id": 8674, "sequence_id": 323, "annotations": []}
{"role": "volunteer", "content": "And they divided 6/10", "session_id": 8674, "sequence_id": 324, "annotations": []}
{"role": "volunteer", "content": "Which you don't actually divide, just turn it into a fraction, 6 over 10", "session_id": 8674, "sequence_id": 325, "annotations": []}
{"role": "student", "content": "Let me simplify it", "session_id": 8674, "sequence_id": 326, "annotations": []}
{"role": "volunteer", "content": "But they simplified so using the GCF which is two they simplied 6/10 to 3/5", "session_id": 8674, "sequence_id": 327, "annotations": []}
{"role": "student", "content": "Oh, I see", "session_id": 8674, "sequence_id": 328, "annotations": []}
{"role": "volunteer", "content": "So you see it right", "session_id": 8674, "sequence_id": 329, "annotations": []}
{"role": "student", "content": "So the", "session_id": 8674, "sequence_id": 330, "annotations": []}
{"role": "student", "content": "the part that says AB over BC.", "session_id": 8674, "sequence_id": 331, "annotations": []}
{"role": "student", "content": "So AB, that's a 6.", "session_id": 8674, "sequence_id": 332, "annotations": []}
{"role": "student", "content": "and BC that's 12.", "session_id": 8674, "sequence_id": 333, "annotations": []}
{"role": "student", "content": "But if that was simplified, it would be, it's a 1/2.", "session_id": 8674, "sequence_id": 334, "annotations": []}
{"role": "student", "content": "correct", "session_id": 8674, "sequence_id": 335, "annotations": []}
{"role": "volunteer", "content": "Sarah. that's it", "session_id": 8674, "sequence_id": 336, "annotations": [{"pii_type": "PERSON", "surrogate": "Sarah", "start": 0, "end": 5}]}
{"role": "student", "content": "And therefore, AC.", "session_id": 8674, "sequence_id": 337, "annotations": []}
{"role": "student", "content": "10", "session_id": 8674, "sequence_id": 338, "annotations": []}
{"role": "student", "content": "and therefore BC", "session_id": 8674, "sequence_id": 339, "annotations": []}
{"role": "student", "content": "is 12", "session_id": 8674, "sequence_id": 340, "annotations": []}
{"role": "student", "content": "uh, let me see if that can be simplified. I think it can't actually.", "session_id": 8674, "sequence_id": 341, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 8674, "sequence_id": 342, "annotations": []}
{"role": "student", "content": "hold on", "session_id": 8674, "sequence_id": 343, "annotations": []}
{"role": "student", "content": "Alright, so AC instead BC is 12, so.", "session_id": 8674, "sequence_id": 344, "annotations": []}
{"role": "student", "content": "1 divide by 2, that's 5, 12 divided by", "session_id": 8674, "sequence_id": 345, "annotations": []}
{"role": "student", "content": "26", "session_id": 8674, "sequence_id": 346, "annotations": []}
{"role": "student", "content": "So is it 5/6.", "session_id": 8674, "sequence_id": 347, "annotations": []}
{"role": "volunteer", "content": "Yes", "session_id": 8674, "sequence_id": 348, "annotations": []}
{"role": "student", "content": "or", "session_id": 8674, "sequence_id": 349, "annotations": []}
{"role": "student", "content": "OK", "session_id": 8674, "sequence_id": 350, "annotations": []}
{"role": "volunteer", "content": "You're right, good job", "session_id": 8674, "sequence_id": 351, "annotations": []}
{"role": "student", "content": "OK", "session_id": 8674, "sequence_id": 352, "annotations": []}
{"role": "student", "content": "So about", "session_id": 8674, "sequence_id": 353, "annotations": []}
{"role": "student", "content": "this other part of Part A.", "session_id": 8674, "sequence_id": 354, "annotations": []}
{"role": "volunteer", "content": "Alright so now for DEF and ABC, I believe it wants you to use both triangles but I may be wrong so for the last one \n\nBlank/ EF can you tell me the options they have there", "session_id": 8674, "sequence_id": 355, "annotations": []}
{"role": "student", "content": "OK", "session_id": 8674, "sequence_id": 356, "annotations": []}
{"role": "student", "content": "Uh", "session_id": 8674, "sequence_id": 357, "annotations": []}
{"role": "student", "content": "wait, EF or DE?", "session_id": 8674, "sequence_id": 358, "annotations": []}
{"role": "volunteer", "content": "Just the last one, I want to heaer the options", "session_id": 8674, "sequence_id": 359, "annotations": []}
{"role": "student", "content": "Cause DE is the first one", "session_id": 8674, "sequence_id": 360, "annotations": []}
{"role": "volunteer", "content": "So I understand what exactly they want", "session_id": 8674, "sequence_id": 361, "annotations": []}
{"role": "student", "content": "Um, OK. Well,", "session_id": 8674, "sequence_id": 362, "annotations": []}
{"role": "student", "content": "it says over EF the options are DE", "session_id": 8674, "sequence_id": 363, "annotations": []}
{"role": "student", "content": "DF and EF.", "session_id": 8674, "sequence_id": 364, "annotations": []}
{"role": "volunteer", "content": "Okay, I get it", "session_id": 8674, "sequence_id": 365, "annotations": []}
{"role": "volunteer", "content": "So lets work backwards this time, since they already give us the option for the last two", "session_id": 8674, "sequence_id": 366, "annotations": []}
{"role": "volunteer", "content": "Repeat the options again", "session_id": 8674, "sequence_id": 367, "annotations": []}
{"role": "student", "content": "D E D F E F", "session_id": 8674, "sequence_id": 368, "annotations": []}
{"role": "volunteer", "content": "Ok so for the last one, we see the answer is 5/6", "session_id": 8674, "sequence_id": 369, "annotations": []}
{"role": "volunteer", "content": "Now we gotta fill in the letters so  work the three options they give you out, and then see what you get", "session_id": 8674, "sequence_id": 370, "annotations": []}
{"role": "student", "content": "How do you want me to work them out?", "session_id": 8674, "sequence_id": 371, "annotations": []}
{"role": "volunteer", "content": "So you said the options are DE, DF and EF right", "session_id": 8674, "sequence_id": 372, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 8674, "sequence_id": 373, "annotations": []}
{"role": "volunteer", "content": "So take the side DE which is 9 over EF which is 18, and solve basically", "session_id": 8674, "sequence_id": 374, "annotations": []}
{"role": "volunteer", "content": "for all 3", "session_id": 8674, "sequence_id": 375, "annotations": []}
{"role": "volunteer", "content": "options^", "session_id": 8674, "sequence_id": 376, "annotations": []}
{"role": "student", "content": "Oh, right, I mean", "session_id": 8674, "sequence_id": 377, "annotations": []}
{"role": "student", "content": "Yeah, I do that, yeah.", "session_id": 8674, "sequence_id": 378, "annotations": []}
{"role": "volunteer", "content": "lol", "session_id": 8674, "sequence_id": 379, "annotations": []}
{"role": "student", "content": "Uh, it's so quick", "session_id": 8674, "sequence_id": 380, "annotations": []}
{"role": "student", "content": "All right, let's see", "session_id": 8674, "sequence_id": 381, "annotations": []}
{"role": "student", "content": "DE", "session_id": 8674, "sequence_id": 382, "annotations": []}
{"role": "student", "content": "that's 9", "session_id": 8674, "sequence_id": 383, "annotations": []}
{"role": "student", "content": "you know", "session_id": 8674, "sequence_id": 384, "annotations": []}
{"role": "student", "content": "DF", "session_id": 8674, "sequence_id": 385, "annotations": []}
{"role": "student", "content": "that's 15", "session_id": 8674, "sequence_id": 386, "annotations": []}
{"role": "student", "content": "and EF that's 18. So,", "session_id": 8674, "sequence_id": 387, "annotations": []}
{"role": "student", "content": "if I try to see", "session_id": 8674, "sequence_id": 388, "annotations": []}
{"role": "student", "content": "uh", "session_id": 8674, "sequence_id": 389, "annotations": []}
{"role": "student", "content": "well just by looking at the first one we just wrote down.", "session_id": 8674, "sequence_id": 390, "annotations": []}
{"role": "student", "content": "I could tell that", "session_id": 8674, "sequence_id": 391, "annotations": []}
{"role": "student", "content": "the second option would be D DE over EF.", "session_id": 8674, "sequence_id": 392, "annotations": []}
{"role": "student", "content": "Well, wait, no, no, not that, no.", "session_id": 8674, "sequence_id": 393, "annotations": []}
{"role": "student", "content": "No, I'll do that's it though", "session_id": 8674, "sequence_id": 394, "annotations": []}
{"role": "volunteer", "content": "No you're right", "session_id": 8674, "sequence_id": 395, "annotations": []}
{"role": "student", "content": "Um", "session_id": 8674, "sequence_id": 396, "annotations": []}
{"role": "student", "content": "Well", "session_id": 8674, "sequence_id": 397, "annotations": []}
{"role": "volunteer", "content": "So the 1/2 one would be DE/EF", "session_id": 8674, "sequence_id": 398, "annotations": []}
{"role": "student", "content": "does that equal 1/2 or?", "session_id": 8674, "sequence_id": 399, "annotations": []}
{"role": "student", "content": "Oh, OK", "session_id": 8674, "sequence_id": 400, "annotations": []}
{"role": "student", "content": "Cause I was like thinking that, you know, 9 or 18 can be simplified to one half, you know, that, you know, so I was like, yeah.", "session_id": 8674, "sequence_id": 401, "annotations": []}
{"role": "volunteer", "content": "Right, so you're right", "session_id": 8674, "sequence_id": 402, "annotations": []}
{"role": "student", "content": "OK", "session_id": 8674, "sequence_id": 403, "annotations": []}
{"role": "student", "content": "did not mean that um", "session_id": 8674, "sequence_id": 404, "annotations": []}
{"role": "volunteer", "content": "So now we're left with 2", "session_id": 8674, "sequence_id": 405, "annotations": []}
{"role": "student", "content": "let's see", "session_id": 8674, "sequence_id": 406, "annotations": []}
{"role": "student", "content": "D", "session_id": 8674, "sequence_id": 407, "annotations": []}
{"role": "student", "content": "so DE", "session_id": 8674, "sequence_id": 408, "annotations": []}
{"role": "student", "content": "uh", "session_id": 8674, "sequence_id": 409, "annotations": []}
{"role": "student", "content": "yeah, all right", "session_id": 8674, "sequence_id": 410, "annotations": []}
{"role": "volunteer", "content": "And obviously 18/18 doesn't give us 5/6", "session_id": 8674, "sequence_id": 411, "annotations": []}
{"role": "student", "content": "So something", "session_id": 8674, "sequence_id": 412, "annotations": []}
{"role": "student", "content": "something overeat after equals 5 or 6.", "session_id": 8674, "sequence_id": 413, "annotations": []}
{"role": "student", "content": "So", "session_id": 8674, "sequence_id": 414, "annotations": []}
{"role": "student", "content": "is that DF over", "session_id": 8674, "sequence_id": 415, "annotations": []}
{"role": "volunteer", "content": "Yes, correct", "session_id": 8674, "sequence_id": 416, "annotations": []}
{"role": "student", "content": "over 18.", "session_id": 8674, "sequence_id": 417, "annotations": []}
{"role": "student", "content": "Yeah, DF, yeah.", "session_id": 8674, "sequence_id": 418, "annotations": []}
{"role": "student", "content": "So the last part", "session_id": 8674, "sequence_id": 419, "annotations": []}
{"role": "student", "content": "would be DF yeah.", "session_id": 8674, "sequence_id": 420, "annotations": []}
{"role": "student", "content": "So that means that the first one, that would be.", "session_id": 8674, "sequence_id": 421, "annotations": []}
{"role": "student", "content": "DE", "session_id": 8674, "sequence_id": 422, "annotations": []}
{"role": "student", "content": "over", "session_id": 8674, "sequence_id": 423, "annotations": []}
{"role": "student", "content": "EF again or?", "session_id": 8674, "sequence_id": 424, "annotations": []}
{"role": "volunteer", "content": "Tell me the options for the first one", "session_id": 8674, "sequence_id": 425, "annotations": []}
{"role": "student", "content": "uh D E D F E F.", "session_id": 8674, "sequence_id": 426, "annotations": []}
{"role": "volunteer", "content": "It would most likely be DE over DF, I doubt it'll be over EF again", "session_id": 8674, "sequence_id": 427, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 8674, "sequence_id": 428, "annotations": []}
{"role": "student", "content": "I think the same", "session_id": 8674, "sequence_id": 429, "annotations": []}
{"role": "student", "content": "way", "session_id": 8674, "sequence_id": 430, "annotations": []}
{"role": "student", "content": "oh you said DE DF, OK.", "session_id": 8674, "sequence_id": 431, "annotations": []}
{"role": "volunteer", "content": "Also looking at the pattern from the 3 at the top, we see one is ab/ac and then the other two is over bc", "session_id": 8674, "sequence_id": 432, "annotations": []}
{"role": "student", "content": "And that will equal", "session_id": 8674, "sequence_id": 433, "annotations": []}
{"role": "volunteer", "content": "So solve for DE/DF", "session_id": 8674, "sequence_id": 434, "annotations": []}
{"role": "student", "content": "hold up", "session_id": 8674, "sequence_id": 435, "annotations": []}
{"role": "student", "content": "what does DE say? DE that says died.", "session_id": 8674, "sequence_id": 436, "annotations": []}
{"role": "student", "content": "and DF that is 15. So now we fatigue.", "session_id": 8674, "sequence_id": 437, "annotations": []}
{"role": "student", "content": "I think that could be simplified to let's see.", "session_id": 8674, "sequence_id": 438, "annotations": []}
{"role": "student", "content": "3 or 5", "session_id": 8674, "sequence_id": 439, "annotations": []}
{"role": "volunteer", "content": "Correct", "session_id": 8674, "sequence_id": 440, "annotations": []}
{"role": "student", "content": "OK", "session_id": 8674, "sequence_id": 441, "annotations": []}
{"role": "student", "content": "OK", "session_id": 8674, "sequence_id": 442, "annotations": []}
{"role": "student", "content": "Mm", "session_id": 8674, "sequence_id": 443, "annotations": []}
{"role": "student", "content": "So what about part B now?", "session_id": 8674, "sequence_id": 444, "annotations": []}
{"role": "volunteer", "content": "Okay so now read part B and let's try to work it out", "session_id": 8674, "sequence_id": 445, "annotations": []}
{"role": "student", "content": "Um, well, the first op says in each pair of proportions the lengths of side", "session_id": 8674, "sequence_id": 446, "annotations": []}
{"role": "student", "content": "s of ABC RSA ratio as the legs of the size of DEF.", "session_id": 8674, "sequence_id": 447, "annotations": []}
{"role": "student", "content": "This is coincidence", "session_id": 8674, "sequence_id": 448, "annotations": []}
{"role": "student", "content": "we would usually that expected from civil triangles.", "session_id": 8674, "sequence_id": 449, "annotations": []}
{"role": "student", "content": "um.", "session_id": 8674, "sequence_id": 450, "annotations": []}
{"role": "student", "content": "You will read out the whole, like all the options like.", "session_id": 8674, "sequence_id": 451, "annotations": []}
{"role": "student", "content": "it's a lot", "session_id": 8674, "sequence_id": 452, "annotations": []}
{"role": "volunteer", "content": "Loll nah let me read it hold on", "session_id": 8674, "sequence_id": 453, "annotations": []}
{"role": "student", "content": "uh, have to be talking like.", "session_id": 8674, "sequence_id": 454, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 8674, "sequence_id": 455, "annotations": []}
{"role": "student", "content": "I was", "session_id": 8674, "sequence_id": 456, "annotations": []}
{"role": "student", "content": "bruising around his ribs, collarbone.", "session_id": 8674, "sequence_id": 457, "annotations": []}
{"role": "student", "content": "back of the.", "session_id": 8674, "sequence_id": 458, "annotations": []}
{"role": "student", "content": "head and his jawline", "session_id": 8674, "sequence_id": 459, "annotations": []}
{"role": "student", "content": "scans showed evidence of a", "session_id": 8674, "sequence_id": 460, "annotations": []}
{"role": "volunteer", "content": "Okay so out of the top two which do you think is the answer?", "session_id": 8674, "sequence_id": 461, "annotations": []}
{"role": "student", "content": "Let's see", "session_id": 8674, "sequence_id": 462, "annotations": []}
{"role": "student", "content": "I think it might be mm", "session_id": 8674, "sequence_id": 463, "annotations": []}
{"role": "student", "content": "might be a.", "session_id": 8674, "sequence_id": 464, "annotations": []}
{"role": "student", "content": "I got around, did I", "session_id": 8674, "sequence_id": 465, "annotations": []}
{"role": "volunteer", "content": "Right, so you're correct it's A, if you realize both the top 3 and bottom 3 give us the same answers which it's not supposed to because it's similar not congruent", "session_id": 8674, "sequence_id": 466, "annotations": []}
{"role": "volunteer", "content": "so this is coincidence", "session_id": 8674, "sequence_id": 467, "annotations": []}
{"role": "volunteer", "content": "You ain't get it wrong broo, you got it!!", "session_id": 8674, "sequence_id": 468, "annotations": []}
{"role": "volunteer", "content": "Don't doubt yourself", "session_id": 8674, "sequence_id": 469, "annotations": []}
{"role": "student", "content": "Oh, OK", "session_id": 8674, "sequence_id": 470, "annotations": []}
{"role": "student", "content": "All right though. I will check it, I will check it real quick there. Let's see if I got this right.", "session_id": 8674, "sequence_id": 471, "annotations": []}
{"role": "student", "content": "All right.", "session_id": 8674, "sequence_id": 472, "annotations": []}
{"role": "student", "content": "Um.", "session_id": 8674, "sequence_id": 473, "annotations": []}
{"role": "student", "content": "No, I got it wrong.", "session_id": 8674, "sequence_id": 474, "annotations": []}
{"role": "student", "content": "I got Part B wrong", "session_id": 8674, "sequence_id": 475, "annotations": []}
{"role": "volunteer", "content": "oo, that's interesting, did they give you the answer?", "session_id": 8674, "sequence_id": 476, "annotations": []}
{"role": "student", "content": "No, I get 3 more tries.", "session_id": 8674, "sequence_id": 477, "annotations": []}
{"role": "student", "content": "or 2 actually, I get one more try.", "session_id": 8674, "sequence_id": 478, "annotations": []}
{"role": "volunteer", "content": "oh woww, my badd alright let me go back over", "session_id": 8674, "sequence_id": 479, "annotations": []}
{"role": "volunteer", "content": "Alright Sarah, we were one off, it's the second one", "session_id": 8674, "sequence_id": 480, "annotations": [{"pii_type": "PERSON", "surrogate": "Sarah", "start": 8, "end": 13}]}
{"role": "volunteer", "content": "Well, I was one off, my bad broskii! But it's the second one, go ahead and try it", "session_id": 8674, "sequence_id": 481, "annotations": []}
{"role": "student", "content": "Ah", "session_id": 8674, "sequence_id": 482, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 8674, "sequence_id": 483, "annotations": []}
{"role": "student", "content": "All right, I like to see this there.", "session_id": 8674, "sequence_id": 484, "annotations": []}
{"role": "student", "content": "You're suck in your twenties", "session_id": 8674, "sequence_id": 485, "annotations": []}
{"role": "volunteer", "content": "Sarah", "session_id": 8674, "sequence_id": 486, "annotations": [{"pii_type": "PERSON", "surrogate": "Sarah", "start": 0, "end": 5}]}
{"role": "student", "content": "Oh", "session_id": 8674, "sequence_id": 487, "annotations": []}
{"role": "student", "content": "Yeah, I, I, I, I was close. What you 30?", "session_id": 8674, "sequence_id": 488, "annotations": []}
{"role": "volunteer", "content": "woahhh", "session_id": 8674, "sequence_id": 489, "annotations": []}
{"role": "volunteer", "content": "I'm still a minor", "session_id": 8674, "sequence_id": 490, "annotations": []}
{"role": "student", "content": "Uh", "session_id": 8674, "sequence_id": 491, "annotations": []}
{"role": "student", "content": "wait, what?", "session_id": 8674, "sequence_id": 492, "annotations": []}
{"role": "volunteer", "content": "I'm in 11th brobroo", "session_id": 8674, "sequence_id": 493, "annotations": []}
{"role": "student", "content": "You're a minor", "session_id": 8674, "sequence_id": 494, "annotations": []}
{"role": "student", "content": "Mr. Davies, what's?", "session_id": 8674, "sequence_id": 495, "annotations": [{"pii_type": "PERSON", "surrogate": "Mr. Davies", "start": 0, "end": 10}]}
{"role": "student", "content": "I just feel like a adults like.", "session_id": 8674, "sequence_id": 496, "annotations": []}
{"role": "student", "content": "I had no idea. My fault, my fault, my fault.", "session_id": 8674, "sequence_id": 497, "annotations": []}
{"role": "student", "content": "You said you were there 11", "session_id": 8674, "sequence_id": 498, "annotations": []}
{"role": "volunteer", "content": "\ud83d\ude02", "session_id": 8674, "sequence_id": 499, "annotations": []}
{"role": "volunteer", "content": "Yea", "session_id": 8674, "sequence_id": 500, "annotations": []}
{"role": "student", "content": "I'm at 10th", "session_id": 8674, "sequence_id": 501, "annotations": []}
{"role": "volunteer", "content": "You could. be doing this too bro,", "session_id": 8674, "sequence_id": 502, "annotations": []}
{"role": "volunteer", "content": "Get you your community service hours", "session_id": 8674, "sequence_id": 503, "annotations": []}
{"role": "student", "content": "Uh", "session_id": 8674, "sequence_id": 504, "annotations": []}
{"role": "student", "content": "Oh, that's what you're doing this. I was like", "session_id": 8674, "sequence_id": 505, "annotations": []}
{"role": "student", "content": "and nah, bro, I.", "session_id": 8674, "sequence_id": 506, "annotations": []}
{"role": "student", "content": "Oh ****. But anyway, uh, it says I got, I got B right, so.", "session_id": 8674, "sequence_id": 507, "annotations": []}
{"role": "volunteer", "content": "Good jobb, ightt what else you got", "session_id": 8674, "sequence_id": 508, "annotations": []}
{"role": "student", "content": "Alright, let's see", "session_id": 8674, "sequence_id": 509, "annotations": []}
{"role": "volunteer", "content": "You don't even gotta do geo you could do 10th Grade math", "session_id": 8674, "sequence_id": 510, "annotations": [{"pii_type": "GRADE_LEVEL", "surrogate": "10th Grade", "start": 41, "end": 51}]}
{"role": "student", "content": "right", "session_id": 8674, "sequence_id": 511, "annotations": []}
{"role": "student", "content": "actually", "session_id": 8674, "sequence_id": 512, "annotations": []}
{"role": "student", "content": "so great math", "session_id": 8674, "sequence_id": 513, "annotations": []}
{"role": "student", "content": "Mm, nah, I'm no tutor. Like,", "session_id": 8674, "sequence_id": 514, "annotations": []}
{"role": "volunteer", "content": "\ud83d\ude02", "session_id": 8674, "sequence_id": 515, "annotations": []}
{"role": "student", "content": "I probably already forgot all of that.", "session_id": 8674, "sequence_id": 516, "annotations": []}
{"role": "student", "content": "But anyway, Cash like the next question.", "session_id": 8674, "sequence_id": 517, "annotations": []}
{"role": "volunteer", "content": "Yea, go ahead", "session_id": 8674, "sequence_id": 518, "annotations": []}
{"role": "student", "content": "All right", "session_id": 8674, "sequence_id": 519, "annotations": []}
{"role": "student", "content": "How much time you got left", "session_id": 8674, "sequence_id": 520, "annotations": []}
{"role": "volunteer", "content": "I don't even know, but just go ahead this will probably be the last one", "session_id": 8674, "sequence_id": 521, "annotations": []}
{"role": "student", "content": "All right.", "session_id": 8674, "sequence_id": 522, "annotations": []}
{"role": "student", "content": "A question, bro, you part of duo?", "session_id": 8674, "sequence_id": 523, "annotations": []}
{"role": "volunteer", "content": "What you said?", "session_id": 8674, "sequence_id": 524, "annotations": []}
{"role": "student", "content": "Are you part of Duo", "session_id": 8674, "sequence_id": 525, "annotations": []}
{"role": "volunteer", "content": "Duo?", "session_id": 8674, "sequence_id": 526, "annotations": []}
{"role": "student", "content": "Like, like, do, do you go to school in Orlando?", "session_id": 8674, "sequence_id": 527, "annotations": [{"pii_type": "LOCATION", "surrogate": "Orlando", "start": 39, "end": 46}]}
{"role": "volunteer", "content": "Oh noo, I'm in Texas, Dallas", "session_id": 8674, "sequence_id": 528, "annotations": [{"pii_type": "LOCATION", "surrogate": "Texas", "start": 15, "end": 20}, {"pii_type": "LOCATION", "surrogate": "Dallas", "start": 22, "end": 28}]}
{"role": "student", "content": "Uh", "session_id": 8674, "sequence_id": 529, "annotations": []}
{"role": "student", "content": "you know, I'm in jazz, Los Angeles.", "session_id": 8674, "sequence_id": 530, "annotations": [{"pii_type": "LOCATION", "surrogate": "Los Angeles", "start": 23, "end": 34}]}
{"role": "volunteer", "content": "That's why it's so different because my geo last year we got formulas, it's weird ya'll don't have any", "session_id": 8674, "sequence_id": 531, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 8674, "sequence_id": 532, "annotations": []}
{"role": "student", "content": "Anyway, here's the last problem.", "session_id": 8674, "sequence_id": 533, "annotations": []}
{"role": "student", "content": "Let's see", "session_id": 8674, "sequence_id": 534, "annotations": []}
{"role": "student", "content": "that the same would last off.", "session_id": 8674, "sequence_id": 535, "annotations": []}
{"role": "student", "content": "with AB 3", "session_id": 8674, "sequence_id": 536, "annotations": []}
{"role": "student", "content": "Hold on.", "session_id": 8674, "sequence_id": 537, "annotations": []}
{"role": "volunteer", "content": "You got this bro, attempt one", "session_id": 8674, "sequence_id": 538, "annotations": []}
{"role": "student", "content": "Yeah, Mr. Davies.", "session_id": 8674, "sequence_id": 539, "annotations": [{"pii_type": "PERSON", "surrogate": "Mr. Davies", "start": 6, "end": 16}]}
{"role": "student", "content": "Damn", "session_id": 8674, "sequence_id": 540, "annotations": []}
{"role": "volunteer", "content": "Start backwards this time since they give you BC/YZ", "session_id": 8674, "sequence_id": 541, "annotations": []}
{"role": "student", "content": "Man, I hope I don't get this right because if I do, I'll lose a point at like.", "session_id": 8674, "sequence_id": 542, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 8674, "sequence_id": 543, "annotations": []}
{"role": "student", "content": "All right", "session_id": 8674, "sequence_id": 544, "annotations": []}
{"role": "student", "content": "BC or YZ, that is", "session_id": 8674, "sequence_id": 545, "annotations": []}
{"role": "student", "content": "6 over", "session_id": 8674, "sequence_id": 546, "annotations": []}
{"role": "student", "content": "what the, oh, OK", "session_id": 8674, "sequence_id": 547, "annotations": []}
{"role": "student", "content": "24", "session_id": 8674, "sequence_id": 548, "annotations": []}
{"role": "student", "content": "All right.", "session_id": 8674, "sequence_id": 549, "annotations": []}
{"role": "student", "content": "I simplify that.", "session_id": 8674, "sequence_id": 550, "annotations": []}
{"role": "student", "content": "I can simplify that.", "session_id": 8674, "sequence_id": 551, "annotations": []}
{"role": "student", "content": "Yeah.", "session_id": 8674, "sequence_id": 552, "annotations": []}
{"role": "student", "content": "So 6 divided by 6 obs one.", "session_id": 8674, "sequence_id": 553, "annotations": []}
{"role": "student", "content": "and then 24 divide by 6.", "session_id": 8674, "sequence_id": 554, "annotations": []}
{"role": "student", "content": "That's uh that's 4, right? Yes, it's 4.", "session_id": 8674, "sequence_id": 555, "annotations": []}
{"role": "student", "content": "So 1 of 4", "session_id": 8674, "sequence_id": 556, "annotations": []}
{"role": "volunteer", "content": "Right", "session_id": 8674, "sequence_id": 557, "annotations": []}
{"role": "student", "content": "All right", "session_id": 8674, "sequence_id": 558, "annotations": []}
{"role": "student", "content": "Uh", "session_id": 8674, "sequence_id": 559, "annotations": []}
{"role": "volunteer", "content": "What are the options for the second one", "session_id": 8674, "sequence_id": 560, "annotations": []}
{"role": "student", "content": "this was his AC AC over sub equals 1 or 4. Let's see what AC equals.", "session_id": 8674, "sequence_id": 561, "annotations": []}
{"role": "student", "content": "uh", "session_id": 8674, "sequence_id": 562, "annotations": []}
{"role": "student", "content": "AC", "session_id": 8674, "sequence_id": 563, "annotations": []}
{"role": "student", "content": "equals 5. Yeah.", "session_id": 8674, "sequence_id": 564, "annotations": []}
{"role": "student", "content": "Uh, let's see", "session_id": 8674, "sequence_id": 565, "annotations": []}
{"role": "student", "content": "one of the options that says XY.", "session_id": 8674, "sequence_id": 566, "annotations": []}
{"role": "student", "content": "see, oh, I said, we like real quick or try to look at this.", "session_id": 8674, "sequence_id": 567, "annotations": []}
{"role": "student", "content": "All right", "session_id": 8674, "sequence_id": 568, "annotations": []}
{"role": "student", "content": "Let's try 5/12.", "session_id": 8674, "sequence_id": 569, "annotations": []}
{"role": "student", "content": "Uh, another type of be it. It's talking about 12 um.", "session_id": 8674, "sequence_id": 570, "annotations": []}
{"role": "student", "content": "let's see", "session_id": 8674, "sequence_id": 571, "annotations": []}
{"role": "student", "content": "5/20. Let's see.", "session_id": 8674, "sequence_id": 572, "annotations": []}
{"role": "student", "content": "I think it might be 5 or 20, so that means that would be AC over XZ.", "session_id": 8674, "sequence_id": 573, "annotations": []}
{"role": "volunteer", "content": "You're right, good job Sarah", "session_id": 8674, "sequence_id": 574, "annotations": [{"pii_type": "PERSON", "surrogate": "Sarah", "start": 23, "end": 28}]}
{"role": "student", "content": "All right", "session_id": 8674, "sequence_id": 575, "annotations": []}
{"role": "student", "content": "Now this last wood, AB", "session_id": 8674, "sequence_id": 576, "annotations": []}
{"role": "student", "content": "3", "session_id": 8674, "sequence_id": 577, "annotations": []}
{"role": "student", "content": "It's supposed to equal 1 for 4 again.", "session_id": 8674, "sequence_id": 578, "annotations": []}
{"role": "volunteer", "content": "So we're seeing a pattern, so the last two have equaled 1/4", "session_id": 8674, "sequence_id": 579, "annotations": []}
{"role": "student", "content": "Yeah, all right.", "session_id": 8674, "sequence_id": 580, "annotations": []}
{"role": "volunteer", "content": "Look you got it", "session_id": 8674, "sequence_id": 581, "annotations": []}
{"role": "student", "content": "So AB", "session_id": 8674, "sequence_id": 582, "annotations": []}
{"role": "student", "content": "that's 3", "session_id": 8674, "sequence_id": 583, "annotations": []}
{"role": "student", "content": "Oh, let's see, we got", "session_id": 8674, "sequence_id": 584, "annotations": []}
{"role": "student", "content": "3/12", "session_id": 8674, "sequence_id": 585, "annotations": []}
{"role": "student", "content": "cause that's AB", "session_id": 8674, "sequence_id": 586, "annotations": []}
{"role": "student", "content": "3 XYS 12. Let's do. All right, so if we do 3 divide by 3", "session_id": 8674, "sequence_id": 587, "annotations": []}
{"role": "student", "content": "that's going to be what the 12 divided by 3 that's gonna be.", "session_id": 8674, "sequence_id": 588, "annotations": []}
{"role": "student", "content": "4", "session_id": 8674, "sequence_id": 589, "annotations": []}
{"role": "student", "content": "Those are AB over XY", "session_id": 8674, "sequence_id": 590, "annotations": []}
{"role": "volunteer", "content": "yep", "session_id": 8674, "sequence_id": 591, "annotations": []}
{"role": "student", "content": "All right", "session_id": 8674, "sequence_id": 592, "annotations": []}
{"role": "student", "content": "Now Part B, let's please not get this wrong and get it.", "session_id": 8674, "sequence_id": 593, "annotations": []}
{"role": "student", "content": "Still there", "session_id": 8674, "sequence_id": 594, "annotations": []}
{"role": "volunteer", "content": "yeaa, im here im looking", "session_id": 8674, "sequence_id": 595, "annotations": []}
{"role": "volunteer", "content": "Okay, it's the last one", "session_id": 8674, "sequence_id": 596, "annotations": []}
{"role": "student", "content": "All right, about to check", "session_id": 8674, "sequence_id": 597, "annotations": []}
{"role": "student", "content": "But he explained why you think you see.", "session_id": 8674, "sequence_id": 598, "annotations": []}
{"role": "volunteer", "content": "Why it's not C?", "session_id": 8674, "sequence_id": 599, "annotations": []}
{"role": "student", "content": "What", "session_id": 8674, "sequence_id": 600, "annotations": []}
{"role": "student", "content": "like you said, you said a C, right?", "session_id": 8674, "sequence_id": 601, "annotations": []}
{"role": "volunteer", "content": "Noo, it's D", "session_id": 8674, "sequence_id": 602, "annotations": []}
{"role": "student", "content": "There is no D", "session_id": 8674, "sequence_id": 603, "annotations": []}
{"role": "volunteer", "content": "The last one", "session_id": 8674, "sequence_id": 604, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 8674, "sequence_id": 605, "annotations": []}
{"role": "student", "content": "The last one, there's 3. Wait, the bus trip or something.", "session_id": 8674, "sequence_id": 606, "annotations": []}
{"role": "volunteer", "content": "lol", "session_id": 8674, "sequence_id": 607, "annotations": []}
{"role": "student", "content": "Oh, OK", "session_id": 8674, "sequence_id": 608, "annotations": []}
{"role": "student", "content": "Yeah, can you explain what you think is correct", "session_id": 8674, "sequence_id": 609, "annotations": []}
{"role": "student", "content": "and while you cross out the other options.", "session_id": 8674, "sequence_id": 610, "annotations": []}
{"role": "student", "content": "Go.", "session_id": 8674, "sequence_id": 611, "annotations": []}
{"role": "volunteer", "content": "Alright let me start backwards, so the other two says they are not the same ratio which we know is wrong because all three equals 1/4", "session_id": 8674, "sequence_id": 612, "annotations": []}
{"role": "volunteer", "content": "So those wouldn't be right, because there's a pattern which is 1/4", "session_id": 8674, "sequence_id": 613, "annotations": []}
{"role": "student", "content": "Uh-huh", "session_id": 8674, "sequence_id": 614, "annotations": []}
{"role": "student", "content": "6", "session_id": 8674, "sequence_id": 615, "annotations": []}
{"role": "student", "content": "I", "session_id": 8674, "sequence_id": 616, "annotations": []}
{"role": "student", "content": "was on a plane", "session_id": 8674, "sequence_id": 617, "annotations": []}
{"role": "student", "content": "the", "session_id": 8674, "sequence_id": 618, "annotations": []}
{"role": "student", "content": "last four digits in the number 5555.", "session_id": 8674, "sequence_id": 619, "annotations": []}
{"role": "student", "content": "That's right, call me back", "session_id": 8674, "sequence_id": 620, "annotations": []}
{"role": "volunteer", "content": "And then its D over C, one because C is what was wrong the last time, but also because they are indeed corresponding sides and using SSS we can tell they are similar", "session_id": 8674, "sequence_id": 621, "annotations": []}
{"role": "student", "content": "He said he went to that tunnel and then to the next platform and came to the street above me.", "session_id": 8674, "sequence_id": 622, "annotations": []}
{"role": "student", "content": "Uh", "session_id": 8674, "sequence_id": 623, "annotations": []}
{"role": "student", "content": "so it's D", "session_id": 8674, "sequence_id": 624, "annotations": []}
{"role": "student", "content": "OK", "session_id": 8674, "sequence_id": 625, "annotations": []}
{"role": "student", "content": "Uh, I'm about to check the", "session_id": 8674, "sequence_id": 626, "annotations": []}
{"role": "student", "content": "Oh, please get this right, please get this right.", "session_id": 8674, "sequence_id": 627, "annotations": []}
{"role": "student", "content": "What's the", "session_id": 8674, "sequence_id": 628, "annotations": []}
{"role": "student", "content": "just happened", "session_id": 8674, "sequence_id": 629, "annotations": []}
{"role": "volunteer", "content": "Make sure you click the right one!!", "session_id": 8674, "sequence_id": 630, "annotations": []}
{"role": "student", "content": "always", "session_id": 8674, "sequence_id": 631, "annotations": []}
{"role": "student", "content": "I see", "session_id": 8674, "sequence_id": 632, "annotations": []}
{"role": "student", "content": "I forgot to, yeah.", "session_id": 8674, "sequence_id": 633, "annotations": []}
{"role": "student", "content": "Yes, I got it right, I got it right, thank God, thank God.", "session_id": 8674, "sequence_id": 634, "annotations": []}
{"role": "student", "content": "Oh, thank you", "session_id": 8674, "sequence_id": 635, "annotations": []}
{"role": "student", "content": "All right", "session_id": 8674, "sequence_id": 636, "annotations": []}
{"role": "volunteer", "content": "W, W, alright brodiee, keep it up, you got it in you, you just gotta have confidence", "session_id": 8674, "sequence_id": 637, "annotations": []}
{"role": "student", "content": "All right, ****. Well, that's, if that was the last word that I appreciate your help, so.", "session_id": 8674, "sequence_id": 638, "annotations": []}
{"role": "student", "content": "you know.", "session_id": 8674, "sequence_id": 639, "annotations": []}
{"role": "student", "content": "Yeah.", "session_id": 8674, "sequence_id": 640, "annotations": []}
{"role": "student", "content": "All right", "session_id": 8674, "sequence_id": 641, "annotations": []}
{"role": "student", "content": "If if you gotta go, I understand. So, but I, I appreciate you. Thank you.", "session_id": 8674, "sequence_id": 642, "annotations": []}
{"role": "volunteer", "content": "Of course, and if you come back, more than likely I'll be here to help you", "session_id": 8674, "sequence_id": 643, "annotations": []}
{"role": "student", "content": "Can I like save you as a tutor or.", "session_id": 8674, "sequence_id": 644, "annotations": []}
{"role": "volunteer", "content": "Yea, i think at the end you can rate and save me and stuff", "session_id": 8674, "sequence_id": 645, "annotations": []}
{"role": "student", "content": "All right", "session_id": 8674, "sequence_id": 646, "annotations": []}
{"role": "student", "content": "I will appreciate it. Thank you.", "session_id": 8674, "sequence_id": 647, "annotations": []}
{"role": "volunteer", "content": "Alright brobroo, later, have a good night", "session_id": 8674, "sequence_id": 648, "annotations": []}
{"role": "student", "content": "Have a good night", "session_id": 8674, "sequence_id": 649, "annotations": []}
{"role": "student", "content": "or", "session_id": 8674, "sequence_id": 650, "annotations": []}
{"role": "student", "content": "wherever you are, your diet for the the times of the year, but yeah, yeah, I was like.", "session_id": 8674, "sequence_id": 651, "annotations": []}
{"role": "volunteer", "content": "hi", "session_id": 5781, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "hi", "session_id": 5781, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "How can I help?", "session_id": 5781, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "I need help with my work", "session_id": 5781, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "We can work together.", "session_id": 5781, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "but there's a problem", "session_id": 5781, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "Tutor Provider said my homework is innapropriate, so now I cant talk or screen share to show you my work", "session_id": 5781, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "try part of the homework.", "session_id": 5781, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "?", "session_id": 5781, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "try posting one question at a time.", "session_id": 5781, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "how?", "session_id": 5781, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "maybe screen share one question", "session_id": 5781, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "oh ok", "session_id": 5781, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "umm", "session_id": 5781, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "it doesn't let me", "session_id": 5781, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "can you type or write on the board part of the question?", "session_id": 5781, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "it doesn't let me do anything", "session_id": 5781, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "are there any numbers that you can write ?", "session_id": 5781, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "its word problems \ud83d\ude14", "session_id": 5781, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "try copying one sentence at a time.", "session_id": 5781, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "maybe I should just use chat gpt Jamie", "session_id": 5781, "sequence_id": 20, "annotations": [{"pii_type": "PERSON", "surrogate": "Jamie", "start": 33, "end": 38}]}
{"role": "volunteer", "content": "ok", "session_id": 5781, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "sorry", "session_id": 5781, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "huh", "session_id": 5781, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "ask for explanation.", "session_id": 5781, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "I was js joking..", "session_id": 5781, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "but I can if u want me too", "session_id": 5781, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "I am here if you need help.", "session_id": 5781, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "file:///home/chronos/u-e7847a0d3e49e60be958e92961d666b8a88eb02a/MyFiles/Downloads/Screenshot%DLN123456789-11-23%206.39.03%file:///path/to/screenshot.pngg", "session_id": 5781, "sequence_id": 28, "annotations": [{"pii_type": "US_DRIVER_LICENSE", "surrogate": "DLN123456789", "start": 93, "end": 105}, {"pii_type": "URL", "surrogate": "file:///path/to/screenshot.png", "start": 122, "end": 152}]}
{"role": "volunteer", "content": "It says file deleted when I try it.", "session_id": 5781, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "file:///home/chronos/u-e7847a0d3e49e60be958e92961d666b8a88eb02a/MyFiles/Downloads/Screenshot%DLN123456789-11-23%206.39.03%file:///path/to/screenshot.pngg", "session_id": 5781, "sequence_id": 30, "annotations": [{"pii_type": "US_DRIVER_LICENSE", "surrogate": "DLN123456789", "start": 93, "end": 105}, {"pii_type": "URL", "surrogate": "file:///path/to/screenshot.png", "start": 122, "end": 152}]}
{"role": "student", "content": "oop", "session_id": 5781, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "it says file not found.  may be deleted.", "session_id": 5781, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "maybe I could pay my teacher to give me A+ \ud83d\ude0f", "session_id": 5781, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "you could show your teacher what happens when you try to screenshare.", "session_id": 5781, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "Ms. Davis definitely wont care", "session_id": 5781, "sequence_id": 35, "annotations": [{"pii_type": "PERSON", "surrogate": "Ms. Davis", "start": 0, "end": 9}]}
{"role": "volunteer", "content": "I wish you could share some of the question(s).", "session_id": 5781, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "I want to help.", "session_id": 5781, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "same", "session_id": 5781, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "yay I did it", "session_id": 5781, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "can u see the work", "session_id": 5781, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 5781, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "i see the question.", "session_id": 5781, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "each of the 3 choices have 25 1/2 and also $.80  or 80%.", "session_id": 5781, "sequence_id": 43, "annotations": []}
{"role": "student", "content": "?", "session_id": 5781, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "see the 25 1/2 in each section.", "session_id": 5781, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "yes", "session_id": 5781, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "which word problem(s) can be solved using the 25 1/2 x 0.80?", "session_id": 5781, "sequence_id": 47, "annotations": []}
{"role": "student", "content": "yes", "session_id": 5781, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "2", "session_id": 5781, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "why did you choose that one?", "session_id": 5781, "sequence_id": 50, "annotations": []}
{"role": "student", "content": "bc it says 0.80", "session_id": 5781, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "I see that.", "session_id": 5781, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "what is 80% written as a decimal?", "session_id": 5781, "sequence_id": 53, "annotations": []}
{"role": "student", "content": "sorry my mom was telling me something", "session_id": 5781, "sequence_id": 54, "annotations": []}
{"role": "student", "content": "um", "session_id": 5781, "sequence_id": 55, "annotations": []}
{"role": "student", "content": "0.8?", "session_id": 5781, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "Is 0.8 and 0.80 the same number?", "session_id": 5781, "sequence_id": 57, "annotations": []}
{"role": "student", "content": "no, well I don't think so", "session_id": 5781, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "they are the same number.", "session_id": 5781, "sequence_id": 59, "annotations": []}
{"role": "student", "content": "I don't think so", "session_id": 5781, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "they are.", "session_id": 5781, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "really", "session_id": 5781, "sequence_id": 62, "annotations": []}
{"role": "student", "content": "ok", "session_id": 5781, "sequence_id": 63, "annotations": []}
{"role": "student", "content": "so they are all correct?", "session_id": 5781, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "I think they are.", "session_id": 5781, "sequence_id": 65, "annotations": []}
{"role": "student", "content": "I hope your right", "session_id": 5781, "sequence_id": 66, "annotations": []}
{"role": "student", "content": "it was wrong", "session_id": 5781, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "ahhh", "session_id": 5781, "sequence_id": 68, "annotations": []}
{"role": "student", "content": "no I'm just joking", "session_id": 5781, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "we can work on another.", "session_id": 5781, "sequence_id": 70, "annotations": []}
{"role": "student", "content": "oo this next problem is easy", "session_id": 5781, "sequence_id": 71, "annotations": []}
{"role": "student", "content": "7/20 as a decimal is obviously 0.35", "session_id": 5781, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "I agree", "session_id": 5781, "sequence_id": 73, "annotations": []}
{"role": "student", "content": "this is the next one", "session_id": 5781, "sequence_id": 74, "annotations": []}
{"role": "volunteer", "content": "I see the expression at the top.", "session_id": 5781, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "there is a minus sign with Math 101.", "session_id": 5781, "sequence_id": 76, "annotations": [{"pii_type": "COURSE", "surrogate": "Math 101", "start": 27, "end": 35}]}
{"role": "volunteer", "content": "that can help us find the right answer.", "session_id": 5781, "sequence_id": 77, "annotations": []}
{"role": "student", "content": "cool", "session_id": 5781, "sequence_id": 78, "annotations": []}
{"role": "student", "content": "is it 1 and 2", "session_id": 5781, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "I agree with 2.", "session_id": 5781, "sequence_id": 80, "annotations": []}
{"role": "student", "content": "why not 1?", "session_id": 5781, "sequence_id": 81, "annotations": []}
{"role": "volunteer", "content": "the loan balance could be considered a negative.", "session_id": 5781, "sequence_id": 82, "annotations": []}
{"role": "volunteer", "content": "3 is definitely a plus answer.", "session_id": 5781, "sequence_id": 83, "annotations": []}
{"role": "volunteer", "content": "so 1 and 2 ?", "session_id": 5781, "sequence_id": 84, "annotations": []}
{"role": "student", "content": "ur the teacher here not me", "session_id": 5781, "sequence_id": 85, "annotations": []}
{"role": "volunteer", "content": "I am the coach working with you.", "session_id": 5781, "sequence_id": 86, "annotations": []}
{"role": "student", "content": "I'm just going with my gut", "session_id": 5781, "sequence_id": 87, "annotations": []}
{"role": "student", "content": "hopefully my gut is happy today", "session_id": 5781, "sequence_id": 88, "annotations": []}
{"role": "student", "content": "CONFUSING", "session_id": 5781, "sequence_id": 89, "annotations": []}
{"role": "volunteer", "content": "I think we should count the minus signs.", "session_id": 5781, "sequence_id": 90, "annotations": []}
{"role": "student", "content": "negative signs?", "session_id": 5781, "sequence_id": 91, "annotations": []}
{"role": "volunteer", "content": "when we have 2 negative numbers multiplied, is the answer positive or negative?", "session_id": 5781, "sequence_id": 92, "annotations": []}
{"role": "student", "content": "posotive", "session_id": 5781, "sequence_id": 93, "annotations": []}
{"role": "volunteer", "content": "that would make the question at the top positive, right?", "session_id": 5781, "sequence_id": 94, "annotations": []}
{"role": "student", "content": "yes", "session_id": 5781, "sequence_id": 95, "annotations": []}
{"role": "volunteer", "content": "are there any choices that have 2 negative numbers?", "session_id": 5781, "sequence_id": 96, "annotations": []}
{"role": "student", "content": "the third one, and last one", "session_id": 5781, "sequence_id": 97, "annotations": []}
{"role": "student", "content": "and 4th one", "session_id": 5781, "sequence_id": 98, "annotations": []}
{"role": "volunteer", "content": "if there are 3 negative numbers multiplied, will the answer be positive or negative?", "session_id": 5781, "sequence_id": 99, "annotations": []}
{"role": "student", "content": "nvm not last one", "session_id": 5781, "sequence_id": 100, "annotations": []}
{"role": "volunteer", "content": "good work", "session_id": 5781, "sequence_id": 101, "annotations": []}
{"role": "student", "content": "ty", "session_id": 5781, "sequence_id": 102, "annotations": []}
{"role": "volunteer", "content": "those steps look good", "session_id": 5781, "sequence_id": 103, "annotations": []}
{"role": "student", "content": "well there's not an option that says nothing", "session_id": 5781, "sequence_id": 104, "annotations": []}
{"role": "volunteer", "content": "where does the 4.9 come from?", "session_id": 5781, "sequence_id": 105, "annotations": []}
{"role": "student", "content": "idk", "session_id": 5781, "sequence_id": 106, "annotations": []}
{"role": "student", "content": "it should be 3.9", "session_id": 5781, "sequence_id": 107, "annotations": []}
{"role": "volunteer", "content": "correct", "session_id": 5781, "sequence_id": 108, "annotations": []}
{"role": "volunteer", "content": "we could change all of those into percentage.", "session_id": 5781, "sequence_id": 109, "annotations": []}
{"role": "student", "content": "why?", "session_id": 5781, "sequence_id": 110, "annotations": []}
{"role": "student", "content": "40% ?", "session_id": 5781, "sequence_id": 111, "annotations": []}
{"role": "volunteer", "content": "Has Ben spent 50% or 75% of the gift card?", "session_id": 5781, "sequence_id": 112, "annotations": [{"pii_type": "PERSON", "surrogate": "Ben", "start": 4, "end": 7}]}
{"role": "volunteer", "content": "What percentage has he spent?", "session_id": 5781, "sequence_id": 113, "annotations": []}
{"role": "student", "content": "95%", "session_id": 5781, "sequence_id": 114, "annotations": []}
{"role": "student", "content": "idrk", "session_id": 5781, "sequence_id": 115, "annotations": []}
{"role": "volunteer", "content": "right about 95%", "session_id": 5781, "sequence_id": 116, "annotations": []}
{"role": "volunteer", "content": "that leaves 5% still on the card.", "session_id": 5781, "sequence_id": 117, "annotations": []}
{"role": "volunteer", "content": "how much is 5% in money on a gift card for $25?", "session_id": 5781, "sequence_id": 118, "annotations": []}
{"role": "student", "content": "idk", "session_id": 5781, "sequence_id": 119, "annotations": []}
{"role": "volunteer", "content": "how much is 10% of $25?", "session_id": 5781, "sequence_id": 120, "annotations": []}
{"role": "student", "content": "2.5", "session_id": 5781, "sequence_id": 121, "annotations": []}
{"role": "volunteer", "content": "right", "session_id": 5781, "sequence_id": 122, "annotations": []}
{"role": "volunteer", "content": "IF 10% is 2.50, what is 5%?", "session_id": 5781, "sequence_id": 123, "annotations": []}
{"role": "student", "content": "1.25??", "session_id": 5781, "sequence_id": 124, "annotations": []}
{"role": "volunteer", "content": "yes!", "session_id": 5781, "sequence_id": 125, "annotations": []}
{"role": "student", "content": "so $1.25 is left on Ben's gift card?", "session_id": 5781, "sequence_id": 126, "annotations": [{"pii_type": "PERSON", "surrogate": "Ben", "start": 20, "end": 23}]}
{"role": "volunteer", "content": "yes", "session_id": 5781, "sequence_id": 127, "annotations": []}
{"role": "volunteer", "content": "the price of apples went down.", "session_id": 5781, "sequence_id": 128, "annotations": []}
{"role": "student", "content": "yes \ud83d\ude2d", "session_id": 5781, "sequence_id": 129, "annotations": []}
{"role": "volunteer", "content": "would the price difference be a positive or a negative answer?", "session_id": 5781, "sequence_id": 130, "annotations": []}
{"role": "student", "content": "negative I think", "session_id": 5781, "sequence_id": 131, "annotations": []}
{"role": "volunteer", "content": "what is the price difference for 4.8 pounds if the price went down 30 cents?", "session_id": 5781, "sequence_id": 132, "annotations": []}
{"role": "student", "content": "idk", "session_id": 5781, "sequence_id": 133, "annotations": []}
{"role": "volunteer", "content": "we would multiply 4.8 times .3.", "session_id": 5781, "sequence_id": 134, "annotations": []}
{"role": "student", "content": "ok", "session_id": 5781, "sequence_id": 135, "annotations": []}
{"role": "student", "content": "I got 1.44", "session_id": 5781, "sequence_id": 136, "annotations": []}
{"role": "student", "content": "not 4...", "session_id": 5781, "sequence_id": 137, "annotations": []}
{"role": "student", "content": "o", "session_id": 5781, "sequence_id": 138, "annotations": []}
{"role": "volunteer", "content": "kk", "session_id": 5781, "sequence_id": 139, "annotations": []}
{"role": "volunteer", "content": "We will need to find out how much flour is needed for each scone for all of the batches.", "session_id": 5781, "sequence_id": 140, "annotations": []}
{"role": "volunteer", "content": "some of the scones are for one batch.", "session_id": 5781, "sequence_id": 141, "annotations": []}
{"role": "student", "content": "ok", "session_id": 5781, "sequence_id": 142, "annotations": []}
{"role": "volunteer", "content": "how much flour is needed to the blueberry scones?  there are 2 batches.", "session_id": 5781, "sequence_id": 143, "annotations": []}
{"role": "student", "content": "2 1/4", "session_id": 5781, "sequence_id": 144, "annotations": []}
{"role": "volunteer", "content": "that is for one batch.", "session_id": 5781, "sequence_id": 145, "annotations": []}
{"role": "student", "content": "4 2/4", "session_id": 5781, "sequence_id": 146, "annotations": []}
{"role": "volunteer", "content": "we will multiply 2 1/4 times 2", "session_id": 5781, "sequence_id": 147, "annotations": []}
{"role": "volunteer", "content": "right", "session_id": 5781, "sequence_id": 148, "annotations": []}
{"role": "volunteer", "content": "now the chocolate chip batches", "session_id": 5781, "sequence_id": 149, "annotations": []}
{"role": "student", "content": "5 1/4?", "session_id": 5781, "sequence_id": 150, "annotations": []}
{"role": "volunteer", "content": "great work!", "session_id": 5781, "sequence_id": 151, "annotations": []}
{"role": "student", "content": "when u put 2 2/4 did u mean 4 2/4?", "session_id": 5781, "sequence_id": 152, "annotations": []}
{"role": "volunteer", "content": "sorry, I wrote it wrong.", "session_id": 5781, "sequence_id": 153, "annotations": []}
{"role": "student", "content": "would it be 13 3/4 (or 13.75)?", "session_id": 5781, "sequence_id": 154, "annotations": []}
{"role": "volunteer", "content": "that is the correct number of cups of flour.", "session_id": 5781, "sequence_id": 155, "annotations": []}
{"role": "student", "content": "ok", "session_id": 5781, "sequence_id": 156, "annotations": []}
{"role": "volunteer", "content": "we need to see if that is 45 ounces.", "session_id": 5781, "sequence_id": 157, "annotations": []}
{"role": "student", "content": "bruh", "session_id": 5781, "sequence_id": 158, "annotations": []}
{"role": "student", "content": "I forgot about dat", "session_id": 5781, "sequence_id": 159, "annotations": []}
{"role": "student", "content": "is Geometry 101 fluid ounces?", "session_id": 5781, "sequence_id": 160, "annotations": [{"pii_type": "COURSE", "surrogate": "Geometry 101", "start": 3, "end": 15}]}
{"role": "volunteer", "content": "not fluid ounces, that would be for water or milk.", "session_id": 5781, "sequence_id": 161, "annotations": []}
{"role": "student", "content": "ok", "session_id": 5781, "sequence_id": 162, "annotations": []}
{"role": "volunteer", "content": "if one cup weights 4.25 ounces, how many ounces would 13.75 weight?", "session_id": 5781, "sequence_id": 163, "annotations": []}
{"role": "volunteer", "content": "we are asked for a good estimate.", "session_id": 5781, "sequence_id": 164, "annotations": []}
{"role": "student", "content": "66 ounces?", "session_id": 5781, "sequence_id": 165, "annotations": []}
{"role": "volunteer", "content": "14 cups (estimate) times 4 ounces would be 66?", "session_id": 5781, "sequence_id": 166, "annotations": []}
{"role": "student", "content": "my bad 60", "session_id": 5781, "sequence_id": 167, "annotations": []}
{"role": "volunteer", "content": "Chris's estimate is not good, right?", "session_id": 5781, "sequence_id": 168, "annotations": [{"pii_type": "PERSON", "surrogate": "Chris", "start": 0, "end": 5}]}
{"role": "student", "content": "too low", "session_id": 5781, "sequence_id": 169, "annotations": []}
{"role": "student", "content": "oh no", "session_id": 5781, "sequence_id": 170, "annotations": []}
{"role": "student", "content": "I'm cooked", "session_id": 5781, "sequence_id": 171, "annotations": []}
{"role": "volunteer", "content": "what happened?", "session_id": 5781, "sequence_id": 172, "annotations": []}
{"role": "student", "content": "my assignment is due at 8:00....", "session_id": 5781, "sequence_id": 173, "annotations": []}
{"role": "volunteer", "content": "you have answered quite a few.", "session_id": 5781, "sequence_id": 174, "annotations": []}
{"role": "student", "content": "but I'm only at 60%", "session_id": 5781, "sequence_id": 175, "annotations": []}
{"role": "student", "content": "I have to get to 80%", "session_id": 5781, "sequence_id": 176, "annotations": []}
{"role": "student", "content": "\ud83d\ude14", "session_id": 5781, "sequence_id": 177, "annotations": []}
{"role": "volunteer", "content": "we can get maybe 2 more.", "session_id": 5781, "sequence_id": 178, "annotations": []}
{"role": "student", "content": "we can try I guess", "session_id": 5781, "sequence_id": 179, "annotations": []}
{"role": "student", "content": "how do I do dis one", "session_id": 5781, "sequence_id": 180, "annotations": []}
{"role": "volunteer", "content": "work on the parentheses first.", "session_id": 5781, "sequence_id": 181, "annotations": []}
{"role": "student", "content": "too late...", "session_id": 5781, "sequence_id": 182, "annotations": []}
{"role": "volunteer", "content": "do you want to finish this one?", "session_id": 5781, "sequence_id": 183, "annotations": []}
{"role": "student", "content": "sure..", "session_id": 5781, "sequence_id": 184, "annotations": []}
{"role": "student", "content": "hello?", "session_id": 5781, "sequence_id": 185, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 5781, "sequence_id": 186, "annotations": []}
{"role": "student", "content": "wait I want to ask the chat bot thingy  aquestion", "session_id": 5781, "sequence_id": 187, "annotations": []}
{"role": "volunteer", "content": "kk", "session_id": 5781, "sequence_id": 188, "annotations": []}
{"role": "student", "content": "wait my mom is calling me", "session_id": 5781, "sequence_id": 189, "annotations": []}
{"role": "volunteer", "content": "k", "session_id": 5781, "sequence_id": 190, "annotations": []}
{"role": "student", "content": "back", "session_id": 5781, "sequence_id": 191, "annotations": []}
{"role": "volunteer", "content": "can you see what I wrote on the board?", "session_id": 5781, "sequence_id": 192, "annotations": []}
{"role": "student", "content": "yes", "session_id": 5781, "sequence_id": 193, "annotations": []}
{"role": "volunteer", "content": "what would be the next step?", "session_id": 5781, "sequence_id": 194, "annotations": []}
{"role": "student", "content": "add the two numbers'", "session_id": 5781, "sequence_id": 195, "annotations": []}
{"role": "student", "content": "-2 3/4", "session_id": 5781, "sequence_id": 196, "annotations": []}
{"role": "volunteer", "content": "one is positive.  one is negative.", "session_id": 5781, "sequence_id": 197, "annotations": []}
{"role": "volunteer", "content": "that means subtract.", "session_id": 5781, "sequence_id": 198, "annotations": []}
{"role": "student", "content": "?", "session_id": 5781, "sequence_id": 199, "annotations": []}
{"role": "student", "content": "um ok", "session_id": 5781, "sequence_id": 200, "annotations": []}
{"role": "volunteer", "content": "we can't do 1//4 subtract 2/4.", "session_id": 5781, "sequence_id": 201, "annotations": []}
{"role": "volunteer", "content": "have you been borrowing from the whole number?", "session_id": 5781, "sequence_id": 202, "annotations": []}
{"role": "volunteer", "content": "some change the 2 1/4 into a improper fraction.", "session_id": 5781, "sequence_id": 203, "annotations": []}
{"role": "student", "content": "1 3/4", "session_id": 5781, "sequence_id": 204, "annotations": []}
{"role": "volunteer", "content": "right", "session_id": 5781, "sequence_id": 205, "annotations": []}
{"role": "student", "content": "that's the answer?", "session_id": 5781, "sequence_id": 206, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 5781, "sequence_id": 207, "annotations": []}
{"role": "student", "content": "ok", "session_id": 5781, "sequence_id": 208, "annotations": []}
{"role": "student", "content": "do u think we can do one last one", "session_id": 5781, "sequence_id": 209, "annotations": []}
{"role": "volunteer", "content": "sure", "session_id": 5781, "sequence_id": 210, "annotations": []}
{"role": "volunteer", "content": "how much is the bike and the helmet?", "session_id": 5781, "sequence_id": 211, "annotations": []}
{"role": "student", "content": "idk", "session_id": 5781, "sequence_id": 212, "annotations": []}
{"role": "student", "content": "$302.70?", "session_id": 5781, "sequence_id": 213, "annotations": []}
{"role": "volunteer", "content": "let's check that adding.", "session_id": 5781, "sequence_id": 214, "annotations": []}
{"role": "student", "content": "305*", "session_id": 5781, "sequence_id": 215, "annotations": []}
{"role": "volunteer", "content": "k", "session_id": 5781, "sequence_id": 216, "annotations": []}
{"role": "student", "content": "I thought that 3 was a zero at first", "session_id": 5781, "sequence_id": 217, "annotations": []}
{"role": "volunteer", "content": "David has saved 2/5 of that.", "session_id": 5781, "sequence_id": 218, "annotations": [{"pii_type": "PERSON", "surrogate": "David", "start": 0, "end": 5}]}
{"role": "volunteer", "content": "he needs to save 3/5 of the cost.", "session_id": 5781, "sequence_id": 219, "annotations": []}
{"role": "volunteer", "content": "how much is that?", "session_id": 5781, "sequence_id": 220, "annotations": []}
{"role": "student", "content": "idk", "session_id": 5781, "sequence_id": 221, "annotations": []}
{"role": "volunteer", "content": "see how I moved the 5 to be under Algebra 300.70", "session_id": 5781, "sequence_id": 222, "annotations": [{"pii_type": "COURSE", "surrogate": "Algebra 300", "start": 34, "end": 45}]}
{"role": "volunteer", "content": "we can do division before multiplying.", "session_id": 5781, "sequence_id": 223, "annotations": []}
{"role": "student", "content": "?", "session_id": 5781, "sequence_id": 224, "annotations": []}
{"role": "student", "content": "why", "session_id": 5781, "sequence_id": 225, "annotations": []}
{"role": "volunteer", "content": "the numbers get large if we do the multiplying first.", "session_id": 5781, "sequence_id": 226, "annotations": []}
{"role": "volunteer", "content": "are you allowed to use a calculator?", "session_id": 5781, "sequence_id": 227, "annotations": []}
{"role": "volunteer", "content": "some say no.", "session_id": 5781, "sequence_id": 228, "annotations": []}
{"role": "student", "content": "I don't think she cares", "session_id": 5781, "sequence_id": 229, "annotations": []}
{"role": "student", "content": "she lets us in class", "session_id": 5781, "sequence_id": 230, "annotations": []}
{"role": "volunteer", "content": "you could change 3/5 to a decimal.", "session_id": 5781, "sequence_id": 231, "annotations": []}
{"role": "volunteer", "content": "and then multiply 305.70 by  the decimal.", "session_id": 5781, "sequence_id": 232, "annotations": []}
{"role": "student", "content": "0.60", "session_id": 5781, "sequence_id": 233, "annotations": []}
{"role": "volunteer", "content": "kk", "session_id": 5781, "sequence_id": 234, "annotations": []}
{"role": "student", "content": "I don't just have a calculator though", "session_id": 5781, "sequence_id": 235, "annotations": []}
{"role": "volunteer", "content": "that would Calculus 405.42.", "session_id": 5781, "sequence_id": 236, "annotations": [{"pii_type": "COURSE", "surrogate": "Calculus 405", "start": 11, "end": 23}]}
{"role": "student", "content": "ok", "session_id": 5781, "sequence_id": 237, "annotations": []}
{"role": "volunteer", "content": "David needs that much more.", "session_id": 5781, "sequence_id": 238, "annotations": [{"pii_type": "PERSON", "surrogate": "David", "start": 0, "end": 5}]}
{"role": "volunteer", "content": "how many hours will he have to work to earn that much ?", "session_id": 5781, "sequence_id": 239, "annotations": []}
{"role": "student", "content": "um", "session_id": 5781, "sequence_id": 240, "annotations": []}
{"role": "volunteer", "content": "he earns 10.19 an hour.", "session_id": 5781, "sequence_id": 241, "annotations": []}
{"role": "volunteer", "content": "183.42 divided by 10.19", "session_id": 5781, "sequence_id": 242, "annotations": []}
{"role": "student", "content": "18 hours", "session_id": 5781, "sequence_id": 243, "annotations": []}
{"role": "volunteer", "content": "kk", "session_id": 5781, "sequence_id": 244, "annotations": []}
{"role": "student", "content": "i don't wanna do math", "session_id": 5781, "sequence_id": 245, "annotations": []}
{"role": "student", "content": "so I just guess", "session_id": 5781, "sequence_id": 246, "annotations": []}
{"role": "volunteer", "content": "It is a necessary subject for school.", "session_id": 5781, "sequence_id": 247, "annotations": []}
{"role": "student", "content": "sadly", "session_id": 5781, "sequence_id": 248, "annotations": []}
{"role": "student", "content": "it is bad and boring and hard", "session_id": 5781, "sequence_id": 249, "annotations": []}
{"role": "volunteer", "content": "Please sign on again for more help.", "session_id": 5781, "sequence_id": 250, "annotations": []}
{"role": "student", "content": "wow", "session_id": 5781, "sequence_id": 251, "annotations": []}
{"role": "volunteer", "content": "you have been working almost 2 hours.", "session_id": 5781, "sequence_id": 252, "annotations": []}
{"role": "volunteer", "content": "try a few minutes each day.", "session_id": 5781, "sequence_id": 253, "annotations": []}
{"role": "student", "content": "please lets finish this problem", "session_id": 5781, "sequence_id": 254, "annotations": []}
{"role": "volunteer", "content": "i thought we did.", "session_id": 5781, "sequence_id": 255, "annotations": []}
{"role": "student", "content": "we did?", "session_id": 5781, "sequence_id": 256, "annotations": []}
{"role": "volunteer", "content": "how many hours does David need to work?", "session_id": 5781, "sequence_id": 257, "annotations": [{"pii_type": "PERSON", "surrogate": "David", "start": 20, "end": 25}]}
{"role": "student", "content": "idk", "session_id": 5781, "sequence_id": 258, "annotations": []}
{"role": "student", "content": "I said I guessed", "session_id": 5781, "sequence_id": 259, "annotations": []}
{"role": "student", "content": "so I'm probably wrong", "session_id": 5781, "sequence_id": 260, "annotations": []}
{"role": "volunteer", "content": "your guess for 18 is correct.", "session_id": 5781, "sequence_id": 261, "annotations": []}
{"role": "student", "content": "oh", "session_id": 5781, "sequence_id": 262, "annotations": []}
{"role": "volunteer", "content": "were you using chatgpt ?", "session_id": 5781, "sequence_id": 263, "annotations": []}
{"role": "student", "content": "but idk how much he needs to save", "session_id": 5781, "sequence_id": 264, "annotations": []}
{"role": "student", "content": "no chat gpt doesn't work rn for me", "session_id": 5781, "sequence_id": 265, "annotations": []}
{"role": "student", "content": "sadly", "session_id": 5781, "sequence_id": 266, "annotations": []}
{"role": "student", "content": "bc 10 x 18 Physics 102", "session_id": 5781, "sequence_id": 267, "annotations": [{"pii_type": "COURSE", "surrogate": "Physics 102", "start": 11, "end": 22}]}
{"role": "student", "content": "how much does he need to save", "session_id": 5781, "sequence_id": 268, "annotations": []}
{"role": "volunteer", "content": "183.42 divided by 10.19", "session_id": 5781, "sequence_id": 269, "annotations": []}
{"role": "student", "content": "I don't have calculator", "session_id": 5781, "sequence_id": 270, "annotations": []}
{"role": "volunteer", "content": "3/5 of the cost Economics 200.42.", "session_id": 5781, "sequence_id": 271, "annotations": [{"pii_type": "COURSE", "surrogate": "Economics 200", "start": 16, "end": 29}]}
{"role": "volunteer", "content": "that's how much he needs to save.", "session_id": 5781, "sequence_id": 272, "annotations": []}
{"role": "student", "content": "oh ok", "session_id": 5781, "sequence_id": 273, "annotations": []}
{"role": "volunteer", "content": "Statistics 310.42 divided by 10.19 is the number of hours he needs to work.", "session_id": 5781, "sequence_id": 274, "annotations": [{"pii_type": "COURSE", "surrogate": "Statistics 310", "start": 0, "end": 14}]}
{"role": "student", "content": "yay", "session_id": 5781, "sequence_id": 275, "annotations": []}
{"role": "student", "content": "I got to 80", "session_id": 5781, "sequence_id": 276, "annotations": []}
{"role": "student", "content": "ty", "session_id": 5781, "sequence_id": 277, "annotations": []}
{"role": "volunteer", "content": "you're welcome.", "session_id": 5781, "sequence_id": 278, "annotations": []}
{"role": "volunteer", "content": "we want to work with you.", "session_id": 5781, "sequence_id": 279, "annotations": []}
{"role": "student", "content": "wait, who is we?", "session_id": 5781, "sequence_id": 280, "annotations": []}
{"role": "volunteer", "content": "we, the coaches here at Sarah.", "session_id": 5781, "sequence_id": 281, "annotations": [{"pii_type": "PERSON", "surrogate": "Sarah", "start": 24, "end": 29}]}
{"role": "student", "content": "oh", "session_id": 5781, "sequence_id": 282, "annotations": []}
{"role": "student", "content": "phew", "session_id": 5781, "sequence_id": 283, "annotations": []}
{"role": "volunteer", "content": "We are here to help.", "session_id": 5781, "sequence_id": 284, "annotations": []}
{"role": "volunteer", "content": "We will explain and give examples.", "session_id": 5781, "sequence_id": 285, "annotations": []}
{"role": "student", "content": "Jessica once again, but I need to go eat now", "session_id": 5781, "sequence_id": 286, "annotations": [{"pii_type": "PERSON", "surrogate": "Jessica", "start": 0, "end": 7}]}
{"role": "student", "content": "bye", "session_id": 5781, "sequence_id": 287, "annotations": []}
{"role": "volunteer", "content": "kk", "session_id": 5781, "sequence_id": 288, "annotations": []}
{"role": "volunteer", "content": "Howdy !", "session_id": 8889, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "how do i distribute 8x-6(3-2x)", "session_id": 8889, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "Let me write that on the board.", "session_id": 8889, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "follow up question", "session_id": 8889, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "would i leave pu the 8x and put it in thr equation that it will turn out to", "session_id": 8889, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "Did that make sense?", "session_id": 8889, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "thank you", "session_id": 8889, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "this helped me with variables", "session_id": 8889, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": ":-)", "session_id": 8889, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "Anything else?", "session_id": 8889, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "no", "session_id": 8889, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "Okay, have a great day then.", "session_id": 8889, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "hi", "session_id": 8713, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "Howdy there !", "session_id": 8713, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "So what's going on in your math class these days?", "session_id": 8713, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "So what does it say when you click on the hyerlink for \"one-to-one\" ???", "session_id": 8713, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "Still there?", "session_id": 8713, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "yes", "session_id": 8713, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "So what does the hyperlink say then?", "session_id": 8713, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "A function is one-to-one if no two different inputs into the function give the same output. In other words, a function f with domain A is called a one-to-one function if.", "session_id": 8713, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "Yep.", "session_id": 8713, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "I was curious to see how they phrased it.", "session_id": 8713, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "So all these functions shown are 1 to 1.", "session_id": 8713, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "that was wrong when I checked", "session_id": 8713, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "Oops - I've got this backwards.", "session_id": 8713, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "In their definition, you can't have two different x values give you the same y value.", "session_id": 8713, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "So it's the \"horizontal line test\".", "session_id": 8713, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "Try that. :-)", "session_id": 8713, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "Did that work?", "session_id": 8713, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "no", "session_id": 8713, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "Bummer.", "session_id": 8713, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "I'm not sure why they are saying that it's wrong.", "session_id": 8713, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "I have some more problems like this", "session_id": 8713, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "Maybe 3 is also not a one to one?", "session_id": 8713, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "It's hard to tell if those two dots are at the same level or ont.", "session_id": 8713, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "Yeah, let's try another one.", "session_id": 8713, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "ok", "session_id": 8713, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "Okay, so let's take these a bit slower.", "session_id": 8713, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "One is NOT.", "session_id": 8713, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "Two is.", "session_id": 8713, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "Three might be - see the question I wrote there?", "session_id": 8713, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "yes they are the same height", "session_id": 8713, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "So then it's not.", "session_id": 8713, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "Is this making sense?", "session_id": 8713, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "yes", "session_id": 8713, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "Cool beans - that's the important part.", "session_id": 8713, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "Let me know what the computer says here (I'm assuming that you're typing this stuff in \"live\" so to say).", "session_id": 8713, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "it was right", "session_id": 8713, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": ":-)", "session_id": 8713, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "Got more stuff to go thru?", "session_id": 8713, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "yes", "session_id": 8713, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "Okay, so do you know how to do these now?", "session_id": 8713, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "Still there?", "session_id": 8713, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "yes", "session_id": 8713, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "that was correct", "session_id": 8713, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": ":-)", "session_id": 8713, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "I got time for a couple more...", "session_id": 8713, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "ok", "session_id": 8713, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "that was correct", "session_id": 8713, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "We are CRUSHING IT !!!", "session_id": 8713, "sequence_id": 47, "annotations": []}
{"role": "student", "content": "yes", "session_id": 8713, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "Posting another one, or are we all done for now?", "session_id": 8713, "sequence_id": 49, "annotations": []}
{"role": "student", "content": "I'm trying to post the image but it will not let me", "session_id": 8713, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "You're not the only one - others have had the same issue.", "session_id": 8713, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "Not sure what's going on...", "session_id": 8713, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "Okay, so I gotta run.", "session_id": 8713, "sequence_id": 53, "annotations": []}
{"role": "student", "content": "ok", "session_id": 8713, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "Best of luck to you and sorry for getting started on the wrong foot.", "session_id": 8713, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "Take care...", "session_id": 8713, "sequence_id": 56, "annotations": []}
{"role": "student", "content": "hello", "session_id": 8945, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "Hi", "session_id": 8945, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "i need help with understandinv", "session_id": 8945, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "understanding what?", "session_id": 8945, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "doing linear equations", "session_id": 8945, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "can you show me an example?", "session_id": 8945, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "2(4y\u22124)=\n32", "session_id": 8945, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "first thing you do in this case, you open brackets, can you do that?", "session_id": 8945, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "what does that mean", "session_id": 8945, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "x(a+b) = a*x + b*x", "session_id": 8945, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "i still dont understand", "session_id": 8945, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "You need to get rid of brackets () we have to ways to do that. First way we can multiply number before brackets on everything that inside of brackets. Or you can divide both sides of equation by 2, it will work either", "session_id": 8945, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "?", "session_id": 8945, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "okay so", "session_id": 8945, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "Can you do that?", "session_id": 8945, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "maybe", "session_id": 8945, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "ill try", "session_id": 8945, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "i did it", "session_id": 8945, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "do u mean distributive property", "session_id": 8945, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "Okay, I will show you", "session_id": 8945, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "Yes, distributive proeprty", "session_id": 8945, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "okay im doing it", "session_id": 8945, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "cool, you did it", "session_id": 8945, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "yes", "session_id": 8945, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "Now you need to put all numbers with y coefficient in one side and numbers without y coefficient in another side", "session_id": 8945, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "okay, can you type it in chat?", "session_id": 8945, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "y=-3", "session_id": 8945, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "just three", "session_id": 8945, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "and wait no\\", "session_id": 8945, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "but isnt 24 divided by -8 -3", "session_id": 8945, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "why is it 24?", "session_id": 8945, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "its 24 because i subtracted", "session_id": 8945, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "you need to add", "session_id": 8945, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "why is 8y being isolated", "session_id": 8945, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "because you need isolate all y numbers", "session_id": 8945, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "oh ok", "session_id": 8945, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "cN i try the problem", "session_id": 8945, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 8945, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "y = -3", "session_id": 8945, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "no", "session_id": 8945, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "can u explain", "session_id": 8945, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "do you need more explanations?", "session_id": 8945, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "I wrote on the board", "session_id": 8945, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "do you have questions?", "session_id": 8945, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "Are you here?", "session_id": 8945, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "no im fine thsnks", "session_id": 8945, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "okay, bye", "session_id": 8945, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "bye", "session_id": 8945, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "Hey how's it going", "session_id": 5862, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "how may I help you?", "session_id": 5862, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "With that please", "session_id": 5862, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "Alright", "session_id": 5862, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "I have a question for you", "session_id": 5862, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 5862, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "could you understand how to do the first part", "session_id": 5862, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "No I can", "session_id": 5862, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "Cant", "session_id": 5862, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "that is totally fine", "session_id": 5862, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "we can walk through it together", "session_id": 5862, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "Thank you", "session_id": 5862, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "so the table, it shows the different x values and y values", "session_id": 5862, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "in some places they filled the x-values and left the y-values are blank", "session_id": 5862, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "and you have to fine x or y by plugging in the values in the table", "session_id": 5862, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "Ohhhhhh", "session_id": 5862, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "you understood?", "session_id": 5862, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 5862, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "would you be able to do the very first question?", "session_id": 5862, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "I can try", "session_id": 5862, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "sure", "session_id": 5862, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "and once you are done, I could check it", "session_id": 5862, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "Is it 27", "session_id": 5862, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 5862, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "you got it", "session_id": 5862, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "great job!!", "session_id": 5862, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "Can u show me the second one I\u2019m a little confused", "session_id": 5862, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "alright", "session_id": 5862, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "the second one gives the f(x) value, instead of the x-value", "session_id": 5862, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "you can do a similar thing for what you did to solve the first one, except you plug in the value for f(x) instead of x", "session_id": 5862, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "and then solve for x", "session_id": 5862, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "Can u show me an example", "session_id": 5862, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "you could see the whiteboard", "session_id": 5862, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "I solved the problem", "session_id": 5862, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "I plugged in 11 for f(x)", "session_id": 5862, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "are you able to follow?", "session_id": 5862, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "Yes Imma try", "session_id": 5862, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "great", "session_id": 5862, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "Hello Liam", "session_id": 5936, "sequence_id": 0, "annotations": [{"pii_type": "PERSON", "surrogate": "Liam", "start": 6, "end": 10}]}
{"role": "student", "content": "Hello, how are you?", "session_id": 5936, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "Good, what about you?", "session_id": 5936, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "I'm doing well.", "session_id": 5936, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "what exactly do you need help with here?", "session_id": 5936, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "I'm just going over a review guide for my exam", "session_id": 5936, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "sounds good", "session_id": 5936, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "is this test on all the conics?", "session_id": 5936, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 5936, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "alright", "session_id": 5936, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "I did circles, now I'm on parabolas", "session_id": 5936, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "sounds good", "session_id": 5936, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "Is this correct?", "session_id": 5936, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "Also I did this question before that's why I did it so quickly. I realized while I was doing it.", "session_id": 5936, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "I'm not a genius lol", "session_id": 5936, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "i see", "session_id": 5936, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "let me check your work real quick", "session_id": 5936, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "ok", "session_id": 5936, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "yep looks good", "session_id": 5936, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "Nice", "session_id": 5936, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "it seems like you know what you are doing here so did you have any specific questions or areas where you have issues in this or with circles?", "session_id": 5936, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "Not exactly.", "session_id": 5936, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "I was just trying to go over it", "session_id": 5936, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "And see if I had any issues", "session_id": 5936, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "Is that allowed or no", "session_id": 5936, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "What I would reccomend is to go through the guide you have and see what you are good with and if you run into any issues, come back for a session. If it's just you doing the work and me checking, you technically don't really need me for that", "session_id": 5936, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "you get what i'm saying?", "session_id": 5936, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 5936, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "I can give you some additional sourcee for extra practice thought if you'd like", "session_id": 5936, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "Sure", "session_id": 5936, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "Okay so for supplemental videos, I'would recommend and Mario Math. Mario Math is by far the best Precalc tutor on youtube in my opinion because his teaching is excellent and concise. For practice, Kuta Software makes decent worksheets you can do. You can also potentially look in the Stewart Calculus online textbook, as it has a very detailed page on Professor Smith with practice too.", "session_id": 5936, "sequence_id": 30, "annotations": [{"pii_type": "PERSON", "surrogate": "Professor Smith", "start": 352, "end": 367}]}
{"role": "volunteer", "content": "Here's what I reccommend you do. Go through your study guide, additional practice, etc and note what is giving you trouble. Once you have that, come back Liam and we can work it out together.", "session_id": 5936, "sequence_id": 31, "annotations": [{"pii_type": "PERSON", "surrogate": "Liam", "start": 154, "end": 158}]}
{"role": "student", "content": "wait so for Mario Math what do i search", "session_id": 5936, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "wait i think i foudn a playlist", "session_id": 5936, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "Liam", "session_id": 5936, "sequence_id": 34, "annotations": [{"pii_type": "PERSON", "surrogate": "Liam", "start": 0, "end": 4}]}
{"role": "volunteer", "content": "yep that's the one", "session_id": 5936, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "wait so for the Stewart Calculus online textbook,", "session_id": 5936, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "I like Mario Math because he is super clear, concise, and comprehensible", "session_id": 5936, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "what am i supposed to be looking for?", "session_id": 5936, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "i can paste the link here", "session_id": 5936, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "ok", "session_id": 5936, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "https://www.mathresources.com", "session_id": 5936, "sequence_id": 41, "annotations": [{"pii_type": "URL", "surrogate": "https://www.mathresources.com", "start": 0, "end": 29}]}
{"role": "student", "content": "Oh wow", "session_id": 5936, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "Thank you very much", "session_id": 5936, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "no problem", "session_id": 5936, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "Okay I foudn the resources", "session_id": 5936, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "found*", "session_id": 5936, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "I'm going to go over it now", "session_id": 5936, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "perfecr", "session_id": 5936, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "Thank you for the help", "session_id": 5936, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "do you think the reccommendation I gave you is a good idea?", "session_id": 5936, "sequence_id": 50, "annotations": []}
{"role": "student", "content": "yes", "session_id": 5936, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "alright sounds good", "session_id": 5936, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "queue up for another session once you have that list", "session_id": 5936, "sequence_id": 53, "annotations": []}
{"role": "student", "content": "k", "session_id": 5936, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "bye", "session_id": 5936, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "hi", "session_id": 5962, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "Hi", "session_id": 5962, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "?", "session_id": 5962, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "What would you like help in?", "session_id": 5962, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "Um math duh", "session_id": 5962, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "I meant what topic", "session_id": 5962, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "lol", "session_id": 5962, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "and please paste the question in the whiteboard", "session_id": 5962, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "okayyy", "session_id": 5962, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "gimme me like 1 minute", "session_id": 5962, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "sure", "session_id": 5962, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "The rectangle on the right is a scaled copy of the rectangle on the left. Identify the scale factor. Express your answer as a whole number or fraction in simplest form.", "session_id": 5962, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "This?", "session_id": 5962, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "ok, but i need the side lengths...or ideally the picure", "session_id": 5962, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "*picture", "session_id": 5962, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "can you paste that in the whiteboard", "session_id": 5962, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "no", "session_id": 5962, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "it don't work", "session_id": 5962, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "alr, does the question give you the side lengths", "session_id": 5962, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "small ones upper legnhth is 8", "session_id": 5962, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "there.", "session_id": 5962, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "perfect, thank you", "session_id": 5962, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "now", "session_id": 5962, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "if a rectangle is scaled uniformly(meaning that all sides are properly scaled) then the new side can be written as original side*scale factor", "session_id": 5962, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "basically that means that i increase each side by some amount(multiply by a number)", "session_id": 5962, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "the scale factor is nothing but the ratio between the sides of the rectangle", "session_id": 5962, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "are you ai or something like you type so fast", "session_id": 5962, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "yeah you can take ur time to read through it and then ask any questions", "session_id": 5962, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "if you want me to explain again then i can do that too...a bit slower as well", "session_id": 5962, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "Aight", "session_id": 5962, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "would you like me to explain again?", "session_id": 5962, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "Sure! I do not get it", "session_id": 5962, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "ok so when we scale a rectangle, it means multiplying each side with some number", "session_id": 5962, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "Okay i understandd now", "session_id": 5962, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "the number we multiply is called the scale factor", "session_id": 5962, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "the scale factor is 2?", "session_id": 5962, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "perfect!", "session_id": 5962, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "Alrr ty", "session_id": 5962, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "any other questions?", "session_id": 5962, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "Yes gimme a min", "session_id": 5962, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "yup", "session_id": 5962, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "The radius of a circle is 1.1 cm. Find the circumference to the nearest tenth. This?", "session_id": 5962, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "so the circumference is defined as 2(pi)r", "session_id": 5962, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "now would you like me to walk you through the calculations?", "session_id": 5962, "sequence_id": 43, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 5962, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "so first we'll do 3.14*1.1", "session_id": 5962, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "any doubts here?", "session_id": 5962, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "in the first calculation", "session_id": 5962, "sequence_id": 47, "annotations": []}
{"role": "student", "content": "No but just so you know ik what multiplication is", "session_id": 5962, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "yea, i just wanted to go step by step", "session_id": 5962, "sequence_id": 49, "annotations": []}
{"role": "student", "content": "Okayy", "session_id": 5962, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "if you want to try out the last step then you can go for that too", "session_id": 5962, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "Nahh i got it down", "session_id": 5962, "sequence_id": 52, "annotations": []}
{"role": "student", "content": "Are you a real person? I thought your ai", "session_id": 5962, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "no im a real person\ud83d\ude02", "session_id": 5962, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "anyways", "session_id": 5962, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "so now that we hve 6.908", "session_id": 5962, "sequence_id": 56, "annotations": []}
{"role": "student", "content": "Oh sry", "session_id": 5962, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "to round to the nearest tenth", "session_id": 5962, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "that gives us 6.9", "session_id": 5962, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "the units would be cm^2", "session_id": 5962, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "any questions?", "session_id": 5962, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "next question?", "session_id": 5962, "sequence_id": 62, "annotations": []}
{"role": "student", "content": "ek mint", "session_id": 5962, "sequence_id": 63, "annotations": []}
{"role": "student", "content": "shoot i mean 1 min sryy", "session_id": 5962, "sequence_id": 64, "annotations": []}
{"role": "student", "content": "im not used to english that much", "session_id": 5962, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "what language is that though?", "session_id": 5962, "sequence_id": 66, "annotations": []}
{"role": "student", "content": "Hindi", "session_id": 5962, "sequence_id": 67, "annotations": [{"pii_type": "NRP", "surrogate": "Hindi", "start": 0, "end": 5}]}
{"role": "volunteer", "content": "ohk", "session_id": 5962, "sequence_id": 68, "annotations": []}
{"role": "student", "content": "Here is next prob?", "session_id": 5962, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "oh sorry, i didnt see", "session_id": 5962, "sequence_id": 70, "annotations": []}
{"role": "student", "content": "all good", "session_id": 5962, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "anyways, do we have to find the perimeter again?", "session_id": 5962, "sequence_id": 72, "annotations": []}
{"role": "student", "content": "Actually", "session_id": 5962, "sequence_id": 73, "annotations": []}
{"role": "student", "content": "What language do u speak", "session_id": 5962, "sequence_id": 74, "annotations": []}
{"role": "volunteer", "content": "this is your answer", "session_id": 5962, "sequence_id": 75, "annotations": []}
{"role": "student", "content": "Okay", "session_id": 5962, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "can you see the calculations on the whiteboard?", "session_id": 5962, "sequence_id": 77, "annotations": []}
{"role": "student", "content": "no", "session_id": 5962, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "oh, 1 sec", "session_id": 5962, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "you should be able to see it now", "session_id": 5962, "sequence_id": 80, "annotations": []}
{"role": "student", "content": "it looks smudged but it works", "session_id": 5962, "sequence_id": 81, "annotations": []}
{"role": "volunteer", "content": "if you need me to re write it i can do that", "session_id": 5962, "sequence_id": 82, "annotations": []}
{"role": "student", "content": "nah its fine", "session_id": 5962, "sequence_id": 83, "annotations": []}
{"role": "volunteer", "content": "sorry about that, im drawing with a mouse so handwriting comes out a bit tricky", "session_id": 5962, "sequence_id": 84, "annotations": []}
{"role": "student", "content": "its fine.", "session_id": 5962, "sequence_id": 85, "annotations": []}
{"role": "student", "content": "what language do you speak", "session_id": 5962, "sequence_id": 86, "annotations": []}
{"role": "student", "content": "idk why im so curious", "session_id": 5962, "sequence_id": 87, "annotations": []}
{"role": "volunteer", "content": "Priya comfortable hai to wo Amit", "session_id": 5962, "sequence_id": 88, "annotations": [{"pii_type": "PERSON", "surrogate": "Priya", "start": 0, "end": 5}, {"pii_type": "PERSON", "surrogate": "Amit", "start": 28, "end": 32}]}
{"role": "student", "content": "um no thx im fine with english", "session_id": 5962, "sequence_id": 89, "annotations": []}
{"role": "volunteer", "content": "\ud83d\udc4d", "session_id": 5962, "sequence_id": 90, "annotations": []}
{"role": "student", "content": "i gtg", "session_id": 5962, "sequence_id": 91, "annotations": []}
{"role": "volunteer", "content": "ok sure, i hope i helped", "session_id": 5962, "sequence_id": 92, "annotations": []}
{"role": "student", "content": "ya", "session_id": 5962, "sequence_id": 93, "annotations": []}
{"role": "volunteer", "content": "bye, have a good day]", "session_id": 5962, "sequence_id": 94, "annotations": []}
{"role": "student", "content": "you too", "session_id": 5962, "sequence_id": 95, "annotations": []}
{"role": "volunteer", "content": "Hello Alex!", "session_id": 5943, "sequence_id": 0, "annotations": [{"pii_type": "PERSON", "surrogate": "Alex", "start": 6, "end": 10}]}
{"role": "volunteer", "content": "How may I help you?", "session_id": 5943, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "Can you help me with this problem?", "session_id": 5943, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "None of the tutors have been able to help me.", "session_id": 5943, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "No Problem!", "session_id": 5943, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "Give me a moment to analyze this.", "session_id": 5943, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "No, I just appreciate it. Thanks a lot.", "session_id": 5943, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "What am i supposed to look at", "session_id": 5943, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "there are like ten images", "session_id": 5943, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "I do not see the image", "session_id": 5943, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "Okay", "session_id": 5943, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "Right so", "session_id": 5943, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "Do you know what vertical angles are?", "session_id": 5943, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "Aren't they like when vertical angles intersect.", "session_id": 5943, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 5943, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "Can you hear me right", "session_id": 5943, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 5943, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "OK, so", "session_id": 5943, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "this question is asking for angle DGB.", "session_id": 5943, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "Mhm.", "session_id": 5943, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "Is this one I marked right here with Alex", "session_id": 5943, "sequence_id": 20, "annotations": [{"pii_type": "PERSON", "surrogate": "Alex", "start": 37, "end": 41}]}
{"role": "student", "content": "Mm.", "session_id": 5943, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "Mhm", "session_id": 5943, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "Mhm.", "session_id": 5943, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "So what you have to know is you have to know a few properties. You can go by solving for this angle first.", "session_id": 5943, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "Mhm", "session_id": 5943, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "and then soft rags, or you can go by solving for this angle.", "session_id": 5943, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "and then sol res", "session_id": 5943, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 5943, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "So let's do the way that makes sense.", "session_id": 5943, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "and", "session_id": 5943, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "um", "session_id": 5943, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "so", "session_id": 5943, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "vertical angles, yeah, look.", "session_id": 5943, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "vertical angles", "session_id": 5943, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "it means that when they are caught by a trans wrestle.", "session_id": 5943, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "these ones are congruent.", "session_id": 5943, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "OK", "session_id": 5943, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "So this one, if this is 86 and it's caught by this transversal and this transversal.", "session_id": 5943, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "This one would", "session_id": 5943, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "They're just two lines that intersect.", "session_id": 5943, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "yeah, yeah, and then this one would also be 86 cause it's vertical to this angle right here.", "session_id": 5943, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "Oh, OK, OK", "session_id": 5943, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "to 86, so they would be congruent.", "session_id": 5943, "sequence_id": 43, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 5943, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "right? So, do you know what supplementary angle is.", "session_id": 5943, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "Um", "session_id": 5943, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "hold on.", "session_id": 5943, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "If, if not, I'll just explain it", "session_id": 5943, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "kind of.", "session_id": 5943, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "OK, so you see this, hold on, let me use a different color.", "session_id": 5943, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "Do you see this uh red line that goes across like the black line, but I just marked it in red.", "session_id": 5943, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "aren't they just the sum that adds up 180.", "session_id": 5943, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 5943, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "straight lines have a degree 180.", "session_id": 5943, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "So if we know that this one is 86. The first one is 86", "session_id": 5943, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "plus, and then this one is 62, right?", "session_id": 5943, "sequence_id": 56, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 5943, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "62, and then", "session_id": 5943, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "um this part of the line is done.", "session_id": 5943, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "and then you need to find this part.", "session_id": 5943, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "that that's X and then that should equal 180.", "session_id": 5943, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "So this whole line is 180. We know this part right here.", "session_id": 5943, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "you know this part, and we have to find this part, which is Alex", "session_id": 5943, "sequence_id": 63, "annotations": [{"pii_type": "PERSON", "surrogate": "Alex", "start": 60, "end": 64}]}
{"role": "volunteer", "content": "And if you add all of these up, it's supposed to equal 180, so", "session_id": 5943, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "um, you're supposed to solve, you're supposed to set up this equation.", "session_id": 5943, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "and", "session_id": 5943, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "solvera. Do you know how to do that or?", "session_id": 5943, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "no", "session_id": 5943, "sequence_id": 68, "annotations": []}
{"role": "student", "content": "Not really. See, this is all new to me.", "session_id": 5943, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "OK, so", "session_id": 5943, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "86", "session_id": 5943, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "+ 62.", "session_id": 5943, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "is going to be", "session_id": 5943, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "148.", "session_id": 5943, "sequence_id": 74, "annotations": []}
{"role": "volunteer", "content": "148", "session_id": 5943, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "plus X equals 180.", "session_id": 5943, "sequence_id": 76, "annotations": []}
{"role": "student", "content": "Mhm", "session_id": 5943, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "and then", "session_id": 5943, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "you're going to subtract 148 from both sides.", "session_id": 5943, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "and you're gonna be left with 32.", "session_id": 5943, "sequence_id": 80, "annotations": []}
{"role": "student", "content": "Mhm.", "session_id": 5943, "sequence_id": 81, "annotations": []}
{"role": "volunteer", "content": "So essentially", "session_id": 5943, "sequence_id": 82, "annotations": []}
{"role": "volunteer", "content": "your answer is 32, but you have to show like the different steps that", "session_id": 5943, "sequence_id": 83, "annotations": []}
{"role": "volunteer", "content": "um", "session_id": 5943, "sequence_id": 84, "annotations": []}
{"role": "student", "content": "Mhm", "session_id": 5943, "sequence_id": 85, "annotations": []}
{"role": "volunteer", "content": "that leads up to like your answer, you know.", "session_id": 5943, "sequence_id": 86, "annotations": []}
{"role": "student", "content": "Mhm", "session_id": 5943, "sequence_id": 87, "annotations": []}
{"role": "volunteer", "content": "OK. So for", "session_id": 5943, "sequence_id": 88, "annotations": []}
{"role": "volunteer", "content": "for the fill in the blank", "session_id": 5943, "sequence_id": 89, "annotations": []}
{"role": "volunteer", "content": "um type in for the M angle.", "session_id": 5943, "sequence_id": 90, "annotations": []}
{"role": "volunteer", "content": "type in DG", "session_id": 5943, "sequence_id": 91, "annotations": []}
{"role": "volunteer", "content": "F", "session_id": 5943, "sequence_id": 92, "annotations": []}
{"role": "volunteer", "content": "Yeah, type in DGF.", "session_id": 5943, "sequence_id": 93, "annotations": []}
{"role": "student", "content": "And then BGC", "session_id": 5943, "sequence_id": 94, "annotations": []}
{"role": "volunteer", "content": "No, no, no", "session_id": 5943, "sequence_id": 95, "annotations": []}
{"role": "volunteer", "content": "um", "session_id": 5943, "sequence_id": 96, "annotations": []}
{"role": "volunteer", "content": "you see where it says M angle and then you typed in DGF in the first month, right?", "session_id": 5943, "sequence_id": 97, "annotations": []}
{"role": "student", "content": "Yeah, yeah, yeah, yeah", "session_id": 5943, "sequence_id": 98, "annotations": []}
{"role": "volunteer", "content": "For the second box next to it, type in 86.", "session_id": 5943, "sequence_id": 99, "annotations": []}
{"role": "volunteer", "content": "cause it's it was congruence'86.", "session_id": 5943, "sequence_id": 100, "annotations": []}
{"role": "student", "content": "Oh, OK.", "session_id": 5943, "sequence_id": 101, "annotations": []}
{"role": "volunteer", "content": "And then for the reason, for the reason, type in or select the one that says vertical angles are congruent.", "session_id": 5943, "sequence_id": 102, "annotations": []}
{"role": "volunteer", "content": "If there is an option like that.", "session_id": 5943, "sequence_id": 103, "annotations": []}
{"role": "volunteer", "content": "Oh yeah, you posted it on the bottom.", "session_id": 5943, "sequence_id": 104, "annotations": []}
{"role": "volunteer", "content": "Yeah, it's the first one, vertical angles.", "session_id": 5943, "sequence_id": 105, "annotations": []}
{"role": "student", "content": "Uh-huh", "session_id": 5943, "sequence_id": 106, "annotations": []}
{"role": "volunteer", "content": "and then", "session_id": 5943, "sequence_id": 107, "annotations": []}
{"role": "volunteer", "content": "um, you're gonna, you're on DeltaMath, right?", "session_id": 5943, "sequence_id": 108, "annotations": []}
{"role": "student", "content": "Yeah, yeah", "session_id": 5943, "sequence_id": 109, "annotations": []}
{"role": "volunteer", "content": "OK, so you're, it's gonna give you another line after you filled that out. Now this is gonna be your actual proof.", "session_id": 5943, "sequence_id": 110, "annotations": []}
{"role": "volunteer", "content": "You're gonna type in", "session_id": 5943, "sequence_id": 111, "annotations": []}
{"role": "student", "content": "Wait, wait. It said it's um hold on. It says BGD does not have a vertical angle, but the measure that vertical angle is not yet known.", "session_id": 5943, "sequence_id": 112, "annotations": []}
{"role": "volunteer", "content": "wait", "session_id": 5943, "sequence_id": 113, "annotations": []}
{"role": "volunteer", "content": "can you screenshot it", "session_id": 5943, "sequence_id": 114, "annotations": []}
{"role": "student", "content": "Of course", "session_id": 5943, "sequence_id": 115, "annotations": []}
{"role": "student", "content": "Give me one sec. I am not.", "session_id": 5943, "sequence_id": 116, "annotations": []}
{"role": "volunteer", "content": "No problem.", "session_id": 5943, "sequence_id": 117, "annotations": []}
{"role": "volunteer", "content": "Is this like", "session_id": 5943, "sequence_id": 118, "annotations": []}
{"role": "volunteer", "content": "um 10th year.", "session_id": 5943, "sequence_id": 119, "annotations": [{"pii_type": "GRADE_LEVEL", "surrogate": "10th", "start": 3, "end": 7}]}
{"role": "volunteer", "content": "geometry, 10th year", "session_id": 5943, "sequence_id": 120, "annotations": [{"pii_type": "GRADE_LEVEL", "surrogate": "10th", "start": 10, "end": 14}]}
{"role": "student", "content": "Between 9th and 11th.", "session_id": 5943, "sequence_id": 121, "annotations": [{"pii_type": "GRADE_LEVEL", "surrogate": "9th", "start": 8, "end": 11}, {"pii_type": "GRADE_LEVEL", "surrogate": "11th", "start": 16, "end": 20}]}
{"role": "volunteer", "content": "Oh, OK, OK", "session_id": 5943, "sequence_id": 122, "annotations": []}
{"role": "volunteer", "content": "It doesn't really say anything on my screen.", "session_id": 5943, "sequence_id": 123, "annotations": []}
{"role": "volunteer", "content": "It says, oh, yeah, it wouldn't be 80, it would be 86.", "session_id": 5943, "sequence_id": 124, "annotations": []}
{"role": "student", "content": "Oops, that's my bad.", "session_id": 5943, "sequence_id": 125, "annotations": []}
{"role": "volunteer", "content": "It's fine, it's fine", "session_id": 5943, "sequence_id": 126, "annotations": []}
{"role": "volunteer", "content": "OK, it would be 86.", "session_id": 5943, "sequence_id": 127, "annotations": []}
{"role": "student", "content": "Yeah, it's still doesn't like that.", "session_id": 5943, "sequence_id": 128, "annotations": []}
{"role": "volunteer", "content": "Oh, it's cause you're a Bostonian.", "session_id": 5943, "sequence_id": 129, "annotations": [{"pii_type": "LOCATION", "surrogate": "Bostonian", "start": 24, "end": 33}]}
{"role": "volunteer", "content": "D", "session_id": 5943, "sequence_id": 130, "annotations": []}
{"role": "volunteer", "content": "It's supposed to be", "session_id": 5943, "sequence_id": 131, "annotations": []}
{"role": "volunteer", "content": "Angle DGF", "session_id": 5943, "sequence_id": 132, "annotations": []}
{"role": "student", "content": "Oh my gosh", "session_id": 5943, "sequence_id": 133, "annotations": []}
{"role": "volunteer", "content": "So type in DGF in the first box, and then the second box.", "session_id": 5943, "sequence_id": 134, "annotations": []}
{"role": "student", "content": "OK, it's right, it's right, it's right.", "session_id": 5943, "sequence_id": 135, "annotations": []}
{"role": "volunteer", "content": "OK, OK", "session_id": 5943, "sequence_id": 136, "annotations": []}
{"role": "student", "content": "That was my", "session_id": 5943, "sequence_id": 137, "annotations": []}
{"role": "volunteer", "content": "So", "session_id": 5943, "sequence_id": 138, "annotations": []}
{"role": "volunteer", "content": "it's OK, it's OK", "session_id": 5943, "sequence_id": 139, "annotations": []}
{"role": "volunteer", "content": "For the next line, you're gonna type in DGB in the first box.", "session_id": 5943, "sequence_id": 140, "annotations": []}
{"role": "student", "content": "I was giving you this 3 step.", "session_id": 5943, "sequence_id": 141, "annotations": []}
{"role": "volunteer", "content": "Oh yeah, 3rd step, whatever.", "session_id": 5943, "sequence_id": 142, "annotations": []}
{"role": "volunteer", "content": "86 was 62.", "session_id": 5943, "sequence_id": 143, "annotations": []}
{"role": "volunteer", "content": "Yeah, for the first box, type in DGB.", "session_id": 5943, "sequence_id": 144, "annotations": []}
{"role": "student", "content": "DG", "session_id": 5943, "sequence_id": 145, "annotations": []}
{"role": "student", "content": "B", "session_id": 5943, "sequence_id": 146, "annotations": []}
{"role": "volunteer", "content": "Yeah, DGB", "session_id": 5943, "sequence_id": 147, "annotations": []}
{"role": "student", "content": "DGB", "session_id": 5943, "sequence_id": 148, "annotations": []}
{"role": "volunteer", "content": "yeah", "session_id": 5943, "sequence_id": 149, "annotations": []}
{"role": "student", "content": "and DGF.", "session_id": 5943, "sequence_id": 150, "annotations": []}
{"role": "volunteer", "content": "No, no, no. Give me a sec", "session_id": 5943, "sequence_id": 151, "annotations": []}
{"role": "student", "content": "No, no, why, why do I keep saying that? Oopsies.", "session_id": 5943, "sequence_id": 152, "annotations": []}
{"role": "volunteer", "content": "OK, 86 was 62.", "session_id": 5943, "sequence_id": 153, "annotations": []}
{"role": "volunteer", "content": "180", "session_id": 5943, "sequence_id": 154, "annotations": []}
{"role": "volunteer", "content": "minus 148.", "session_id": 5943, "sequence_id": 155, "annotations": []}
{"role": "volunteer", "content": "OK, did you type in DGB in the first box.", "session_id": 5943, "sequence_id": 156, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 5943, "sequence_id": 157, "annotations": []}
{"role": "volunteer", "content": "in the next box, type in 32.", "session_id": 5943, "sequence_id": 158, "annotations": []}
{"role": "volunteer", "content": "equal 32", "session_id": 5943, "sequence_id": 159, "annotations": []}
{"role": "student", "content": "Oh, I see", "session_id": 5943, "sequence_id": 160, "annotations": []}
{"role": "volunteer", "content": "And then for the reason,", "session_id": 5943, "sequence_id": 161, "annotations": []}
{"role": "student", "content": "Did you just like subtract it.", "session_id": 5943, "sequence_id": 162, "annotations": []}
{"role": "volunteer", "content": "uh yeah, you basically saw solve for that angle, so.", "session_id": 5943, "sequence_id": 163, "annotations": []}
{"role": "volunteer", "content": "it's so.", "session_id": 5943, "sequence_id": 164, "annotations": []}
{"role": "student", "content": "smarter than me, man.", "session_id": 5943, "sequence_id": 165, "annotations": []}
{"role": "volunteer", "content": "And then um", "session_id": 5943, "sequence_id": 166, "annotations": []}
{"role": "volunteer", "content": "for the", "session_id": 5943, "sequence_id": 167, "annotations": []}
{"role": "volunteer", "content": "for the reason", "session_id": 5943, "sequence_id": 168, "annotations": []}
{"role": "student", "content": "Is it", "session_id": 5943, "sequence_id": 169, "annotations": []}
{"role": "volunteer", "content": "give me a second here, it's vertically.", "session_id": 5943, "sequence_id": 170, "annotations": []}
{"role": "student", "content": "do you want me to screenshot the reasons.", "session_id": 5943, "sequence_id": 171, "annotations": []}
{"role": "volunteer", "content": "I think I have them on my side.", "session_id": 5943, "sequence_id": 172, "annotations": []}
{"role": "volunteer", "content": "The first one is vertical angles, linear pair, right? Is it those ones?", "session_id": 5943, "sequence_id": 173, "annotations": []}
{"role": "student", "content": "Linear", "session_id": 5943, "sequence_id": 174, "annotations": []}
{"role": "volunteer", "content": "No, no, no", "session_id": 5943, "sequence_id": 175, "annotations": []}
{"role": "student", "content": "Yeah, linear", "session_id": 5943, "sequence_id": 176, "annotations": []}
{"role": "volunteer", "content": "Yeah, just tell me the order that it's in on your screen.", "session_id": 5943, "sequence_id": 177, "annotations": []}
{"role": "student", "content": "of course.", "session_id": 5943, "sequence_id": 178, "annotations": []}
{"role": "student", "content": "Vertical angles, linear pair of or triple kangar angles, some of angle in a triangle, some of angles and quadra.", "session_id": 5943, "sequence_id": 179, "annotations": []}
{"role": "volunteer", "content": "OK, OK. Um", "session_id": 5943, "sequence_id": 180, "annotations": []}
{"role": "student", "content": "face", "session_id": 5943, "sequence_id": 181, "annotations": []}
{"role": "volunteer", "content": "you, you're gonna want to choose linear pair.", "session_id": 5943, "sequence_id": 182, "annotations": []}
{"role": "student", "content": "OK", "session_id": 5943, "sequence_id": 183, "annotations": []}
{"role": "volunteer", "content": "and then that should be your answer", "session_id": 5943, "sequence_id": 184, "annotations": []}
{"role": "student", "content": "Oh my goodness, perfect. Oh my gosh, thanks.", "session_id": 5943, "sequence_id": 185, "annotations": []}
{"role": "student", "content": "Mhm", "session_id": 5943, "sequence_id": 186, "annotations": []}
{"role": "volunteer", "content": "You're welcome. Are there any questions or are there any other questions?", "session_id": 5943, "sequence_id": 187, "annotations": []}
{"role": "volunteer", "content": "OK.", "session_id": 5943, "sequence_id": 188, "annotations": []}
{"role": "volunteer", "content": "Yeah, of course, yeah, absolutely.", "session_id": 5943, "sequence_id": 189, "annotations": []}
{"role": "student", "content": "Uh, yeah. I mean, as long as you can help me if you have time. I totally get it if you don't have time.", "session_id": 5943, "sequence_id": 190, "annotations": []}
{"role": "volunteer", "content": "No, no, I have time, Dory", "session_id": 5943, "sequence_id": 191, "annotations": []}
{"role": "student", "content": "Thanks.", "session_id": 5943, "sequence_id": 192, "annotations": []}
{"role": "volunteer", "content": "Let me just delete this one", "session_id": 5943, "sequence_id": 193, "annotations": []}
{"role": "student", "content": "Here's a different one", "session_id": 5943, "sequence_id": 194, "annotations": []}
{"role": "volunteer", "content": "is your teacher like horrible in the subject or?", "session_id": 5943, "sequence_id": 195, "annotations": []}
{"role": "student", "content": "I mean, like, what happened, he gave me this. But like did not explain it as like, well,", "session_id": 5943, "sequence_id": 196, "annotations": []}
{"role": "student", "content": "and then he kind of like got frustrated at me cause I don't", "session_id": 5943, "sequence_id": 197, "annotations": []}
{"role": "student", "content": "I didn't really get it.", "session_id": 5943, "sequence_id": 198, "annotations": []}
{"role": "volunteer", "content": "OK, OK.", "session_id": 5943, "sequence_id": 199, "annotations": []}
{"role": "volunteer", "content": "it's fine.", "session_id": 5943, "sequence_id": 200, "annotations": []}
{"role": "student", "content": "he wasn't that good.", "session_id": 5943, "sequence_id": 201, "annotations": []}
{"role": "volunteer", "content": "It's fine, it's fine", "session_id": 5943, "sequence_id": 202, "annotations": []}
{"role": "volunteer", "content": "Um", "session_id": 5943, "sequence_id": 203, "annotations": []}
{"role": "volunteer", "content": "so it's asking for angle B", "session_id": 5943, "sequence_id": 204, "annotations": []}
{"role": "volunteer", "content": "if you do this, this would.", "session_id": 5943, "sequence_id": 205, "annotations": []}
{"role": "volunteer", "content": "this would be corresponding.", "session_id": 5943, "sequence_id": 206, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 5943, "sequence_id": 207, "annotations": []}
{"role": "volunteer", "content": "so", "session_id": 5943, "sequence_id": 208, "annotations": []}
{"role": "volunteer", "content": "um", "session_id": 5943, "sequence_id": 209, "annotations": []}
{"role": "student", "content": "Corresponding", "session_id": 5943, "sequence_id": 210, "annotations": []}
{"role": "volunteer", "content": "no, no, no, give me a second", "session_id": 5943, "sequence_id": 211, "annotations": []}
{"role": "volunteer", "content": "Let me analyze it", "session_id": 5943, "sequence_id": 212, "annotations": []}
{"role": "volunteer", "content": "Um", "session_id": 5943, "sequence_id": 213, "annotations": []}
{"role": "volunteer", "content": "OK, so", "session_id": 5943, "sequence_id": 214, "annotations": []}
{"role": "volunteer", "content": "145", "session_id": 5943, "sequence_id": 215, "annotations": []}
{"role": "volunteer", "content": "that is 1:45, this one will be 35.", "session_id": 5943, "sequence_id": 216, "annotations": []}
{"role": "volunteer", "content": "Uh.", "session_id": 5943, "sequence_id": 217, "annotations": []}
{"role": "volunteer", "content": "35", "session_id": 5943, "sequence_id": 218, "annotations": []}
{"role": "volunteer", "content": "10", "session_id": 5943, "sequence_id": 219, "annotations": []}
{"role": "volunteer", "content": "4.", "session_id": 5943, "sequence_id": 220, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 5943, "sequence_id": 221, "annotations": []}
{"role": "volunteer", "content": "so", "session_id": 5943, "sequence_id": 222, "annotations": []}
{"role": "volunteer", "content": "um type in BCA", "session_id": 5943, "sequence_id": 223, "annotations": []}
{"role": "student", "content": "OK", "session_id": 5943, "sequence_id": 224, "annotations": []}
{"role": "volunteer", "content": "Did you type it in?", "session_id": 5943, "sequence_id": 225, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 5943, "sequence_id": 226, "annotations": []}
{"role": "volunteer", "content": "And then for the second box type 35.", "session_id": 5943, "sequence_id": 227, "annotations": []}
{"role": "student", "content": "Yup", "session_id": 5943, "sequence_id": 228, "annotations": []}
{"role": "volunteer", "content": "and the the reason will be vertical angles.", "session_id": 5943, "sequence_id": 229, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 5943, "sequence_id": 230, "annotations": []}
{"role": "volunteer", "content": "Did you do it", "session_id": 5943, "sequence_id": 231, "annotations": []}
{"role": "student", "content": "Uh, what did you say? Sorry, I was typing that.", "session_id": 5943, "sequence_id": 232, "annotations": []}
{"role": "volunteer", "content": "Uh, vertical angles", "session_id": 5943, "sequence_id": 233, "annotations": []}
{"role": "student", "content": "OK", "session_id": 5943, "sequence_id": 234, "annotations": []}
{"role": "student", "content": "All right, and then", "session_id": 5943, "sequence_id": 235, "annotations": []}
{"role": "volunteer", "content": "Did it work", "session_id": 5943, "sequence_id": 236, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 5943, "sequence_id": 237, "annotations": []}
{"role": "volunteer", "content": "OK. Um", "session_id": 5943, "sequence_id": 238, "annotations": []}
{"role": "student", "content": "Hold on, let me show you the four step.", "session_id": 5943, "sequence_id": 239, "annotations": []}
{"role": "volunteer", "content": "OK.", "session_id": 5943, "sequence_id": 240, "annotations": []}
{"role": "volunteer", "content": "Um", "session_id": 5943, "sequence_id": 241, "annotations": []}
{"role": "volunteer", "content": "OK, so", "session_id": 5943, "sequence_id": 242, "annotations": []}
{"role": "volunteer", "content": "you got that out of the way", "session_id": 5943, "sequence_id": 243, "annotations": []}
{"role": "volunteer", "content": "Wait, can you show me like the one without the", "session_id": 5943, "sequence_id": 244, "annotations": []}
{"role": "student", "content": "Oh yeah, sorry, my bad.", "session_id": 5943, "sequence_id": 245, "annotations": []}
{"role": "volunteer", "content": "it's fine, it's fine", "session_id": 5943, "sequence_id": 246, "annotations": []}
{"role": "student", "content": "Wait, that's not the right one. Ignore that. Wait, ignore that.", "session_id": 5943, "sequence_id": 247, "annotations": []}
{"role": "student", "content": "Uh, not technical.", "session_id": 5943, "sequence_id": 248, "annotations": []}
{"role": "student", "content": "Uh", "session_id": 5943, "sequence_id": 249, "annotations": []}
{"role": "volunteer", "content": "It's fine, it's fine. I, I think this should work.", "session_id": 5943, "sequence_id": 250, "annotations": []}
{"role": "student", "content": "That's not the right one.", "session_id": 5943, "sequence_id": 251, "annotations": []}
{"role": "student", "content": "Oh.", "session_id": 5943, "sequence_id": 252, "annotations": []}
{"role": "volunteer", "content": "It's fine. I, I, I can work, I can work off of this.", "session_id": 5943, "sequence_id": 253, "annotations": []}
{"role": "volunteer", "content": "There's not really a difference", "session_id": 5943, "sequence_id": 254, "annotations": []}
{"role": "volunteer", "content": "OK, so", "session_id": 5943, "sequence_id": 255, "annotations": []}
{"role": "volunteer", "content": "next one would be 35.", "session_id": 5943, "sequence_id": 256, "annotations": []}
{"role": "volunteer", "content": "Um", "session_id": 5943, "sequence_id": 257, "annotations": []}
{"role": "volunteer", "content": "give me a second here", "session_id": 5943, "sequence_id": 258, "annotations": []}
{"role": "volunteer", "content": "35", "session_id": 5943, "sequence_id": 259, "annotations": []}
{"role": "volunteer", "content": "triangle and isosceles.", "session_id": 5943, "sequence_id": 260, "annotations": []}
{"role": "volunteer", "content": "base of", "session_id": 5943, "sequence_id": 261, "annotations": []}
{"role": "volunteer", "content": "uh", "session_id": 5943, "sequence_id": 262, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 5943, "sequence_id": 263, "annotations": []}
{"role": "volunteer", "content": "corresponding angles", "session_id": 5943, "sequence_id": 264, "annotations": []}
{"role": "volunteer", "content": "same side interior.", "session_id": 5943, "sequence_id": 265, "annotations": []}
{"role": "volunteer", "content": "addition angle subtraction postulate.", "session_id": 5943, "sequence_id": 266, "annotations": []}
{"role": "student", "content": "OK", "session_id": 5943, "sequence_id": 267, "annotations": []}
{"role": "volunteer", "content": "OK, for the next one, type in um", "session_id": 5943, "sequence_id": 268, "annotations": []}
{"role": "volunteer", "content": "angles CAB.", "session_id": 5943, "sequence_id": 269, "annotations": []}
{"role": "student", "content": "I", "session_id": 5943, "sequence_id": 270, "annotations": []}
{"role": "volunteer", "content": "is equal to", "session_id": 5943, "sequence_id": 271, "annotations": []}
{"role": "volunteer", "content": "35", "session_id": 5943, "sequence_id": 272, "annotations": []}
{"role": "student", "content": "OK", "session_id": 5943, "sequence_id": 273, "annotations": []}
{"role": "volunteer", "content": "and", "session_id": 5943, "sequence_id": 274, "annotations": []}
{"role": "volunteer", "content": "the answer or the reason is", "session_id": 5943, "sequence_id": 275, "annotations": []}
{"role": "volunteer", "content": "um", "session_id": 5943, "sequence_id": 276, "annotations": []}
{"role": "volunteer", "content": "uh subtraction postulate.", "session_id": 5943, "sequence_id": 277, "annotations": []}
{"role": "volunteer", "content": "Try that and let me know if it works.", "session_id": 5943, "sequence_id": 278, "annotations": []}
{"role": "volunteer", "content": "Angle subtraction posture is.", "session_id": 5943, "sequence_id": 279, "annotations": []}
{"role": "student", "content": "OK, I see it. Sorry.", "session_id": 5943, "sequence_id": 280, "annotations": []}
{"role": "volunteer", "content": "yeah.", "session_id": 5943, "sequence_id": 281, "annotations": []}
{"role": "student", "content": "CAB 35.", "session_id": 5943, "sequence_id": 282, "annotations": []}
{"role": "volunteer", "content": "angle subtraction postulate", "session_id": 5943, "sequence_id": 283, "annotations": []}
{"role": "student", "content": "It. I didn't work.", "session_id": 5943, "sequence_id": 284, "annotations": []}
{"role": "volunteer", "content": "It didn't work", "session_id": 5943, "sequence_id": 285, "annotations": []}
{"role": "student", "content": "It says CAB is different of any two angles.", "session_id": 5943, "sequence_id": 286, "annotations": []}
{"role": "volunteer", "content": "Um, try", "session_id": 5943, "sequence_id": 287, "annotations": []}
{"role": "volunteer", "content": "wait, give me a second", "session_id": 5943, "sequence_id": 288, "annotations": []}
{"role": "student", "content": "No, you're good", "session_id": 5943, "sequence_id": 289, "annotations": []}
{"role": "volunteer", "content": "Oh wait", "session_id": 5943, "sequence_id": 290, "annotations": []}
{"role": "volunteer", "content": "I forgot", "session_id": 5943, "sequence_id": 291, "annotations": []}
{"role": "volunteer", "content": "Um", "session_id": 5943, "sequence_id": 292, "annotations": []}
{"role": "volunteer", "content": "you have to type in DEC.", "session_id": 5943, "sequence_id": 293, "annotations": []}
{"role": "student", "content": "DEC", "session_id": 5943, "sequence_id": 294, "annotations": []}
{"role": "volunteer", "content": "DEC equals 35.", "session_id": 5943, "sequence_id": 295, "annotations": []}
{"role": "student", "content": "OK", "session_id": 5943, "sequence_id": 296, "annotations": []}
{"role": "volunteer", "content": "Um, and the reason is linear pair.", "session_id": 5943, "sequence_id": 297, "annotations": []}
{"role": "student", "content": "That worked", "session_id": 5943, "sequence_id": 298, "annotations": []}
{"role": "volunteer", "content": "OK.", "session_id": 5943, "sequence_id": 299, "annotations": []}
{"role": "volunteer", "content": "So now you can say angle CAB.", "session_id": 5943, "sequence_id": 300, "annotations": []}
{"role": "student", "content": "For the 5th 1", "session_id": 5943, "sequence_id": 301, "annotations": []}
{"role": "volunteer", "content": "Yeah, yeah, CAB equals 35.", "session_id": 5943, "sequence_id": 302, "annotations": []}
{"role": "student", "content": "30", "session_id": 5943, "sequence_id": 303, "annotations": []}
{"role": "student", "content": "fine", "session_id": 5943, "sequence_id": 304, "annotations": []}
{"role": "volunteer", "content": "Yeah, and", "session_id": 5943, "sequence_id": 305, "annotations": []}
{"role": "student", "content": "And then that is", "session_id": 5943, "sequence_id": 306, "annotations": []}
{"role": "volunteer", "content": "the reason is alternate interior angles.", "session_id": 5943, "sequence_id": 307, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 5943, "sequence_id": 308, "annotations": []}
{"role": "student", "content": "And then", "session_id": 5943, "sequence_id": 309, "annotations": []}
{"role": "student", "content": "6", "session_id": 5943, "sequence_id": 310, "annotations": []}
{"role": "volunteer", "content": "Did that work", "session_id": 5943, "sequence_id": 311, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 5943, "sequence_id": 312, "annotations": []}
{"role": "volunteer", "content": "OK.", "session_id": 5943, "sequence_id": 313, "annotations": []}
{"role": "volunteer", "content": "104 + 35. OK, we need", "session_id": 5943, "sequence_id": 314, "annotations": []}
{"role": "volunteer", "content": "180 minus", "session_id": 5943, "sequence_id": 315, "annotations": []}
{"role": "volunteer", "content": "139", "session_id": 5943, "sequence_id": 316, "annotations": []}
{"role": "volunteer", "content": "41. OK", "session_id": 5943, "sequence_id": 317, "annotations": []}
{"role": "volunteer", "content": "So now you're gonna want to type in", "session_id": 5943, "sequence_id": 318, "annotations": []}
{"role": "volunteer", "content": "um angle B", "session_id": 5943, "sequence_id": 319, "annotations": []}
{"role": "student", "content": "is", "session_id": 5943, "sequence_id": 320, "annotations": []}
{"role": "volunteer", "content": "equals", "session_id": 5943, "sequence_id": 321, "annotations": []}
{"role": "volunteer", "content": "41", "session_id": 5943, "sequence_id": 322, "annotations": []}
{"role": "student", "content": "OK", "session_id": 5943, "sequence_id": 323, "annotations": []}
{"role": "volunteer", "content": "and uh", "session_id": 5943, "sequence_id": 324, "annotations": []}
{"role": "volunteer", "content": "the reason is", "session_id": 5943, "sequence_id": 325, "annotations": []}
{"role": "volunteer", "content": "um", "session_id": 5943, "sequence_id": 326, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 5943, "sequence_id": 327, "annotations": []}
{"role": "volunteer", "content": "let me find it here. Some of, wait, no, no, no, no, no.", "session_id": 5943, "sequence_id": 328, "annotations": []}
{"role": "volunteer", "content": "Some of angles in a triangle.", "session_id": 5943, "sequence_id": 329, "annotations": []}
{"role": "volunteer", "content": "It's like the 4th 1, I believe", "session_id": 5943, "sequence_id": 330, "annotations": []}
{"role": "student", "content": "It's like a 4th 1 I believe", "session_id": 5943, "sequence_id": 331, "annotations": []}
{"role": "volunteer", "content": "Hello?", "session_id": 5943, "sequence_id": 332, "annotations": []}
{"role": "student", "content": "Some of Ingles", "session_id": 5943, "sequence_id": 333, "annotations": []}
{"role": "volunteer", "content": "Um", "session_id": 5943, "sequence_id": 334, "annotations": []}
{"role": "volunteer", "content": "it's some of Angles in a triangle, yes.", "session_id": 5943, "sequence_id": 335, "annotations": []}
{"role": "student", "content": "some of Angle's in the triangles.", "session_id": 5943, "sequence_id": 336, "annotations": []}
{"role": "volunteer", "content": "It's the 4th 1", "session_id": 5943, "sequence_id": 337, "annotations": []}
{"role": "volunteer", "content": "I think.", "session_id": 5943, "sequence_id": 338, "annotations": []}
{"role": "student", "content": "OK, I see it", "session_id": 5943, "sequence_id": 339, "annotations": []}
{"role": "volunteer", "content": "Yeah, yeah, yeah", "session_id": 5943, "sequence_id": 340, "annotations": []}
{"role": "volunteer", "content": "It", "session_id": 5943, "sequence_id": 341, "annotations": []}
{"role": "student", "content": "fit", "session_id": 5943, "sequence_id": 342, "annotations": []}
{"role": "volunteer", "content": "that's your answer, right? It worked", "session_id": 5943, "sequence_id": 343, "annotations": []}
{"role": "student", "content": "Yeah, yeah, we're good. We're", "session_id": 5943, "sequence_id": 344, "annotations": []}
{"role": "volunteer", "content": "OK, OK", "session_id": 5943, "sequence_id": 345, "annotations": []}
{"role": "student", "content": "And then", "session_id": 5943, "sequence_id": 346, "annotations": []}
{"role": "student", "content": "another one", "session_id": 5943, "sequence_id": 347, "annotations": []}
{"role": "student", "content": "on", "session_id": 5943, "sequence_id": 348, "annotations": []}
{"role": "volunteer", "content": "Just for the time being, I might have to leave after this one, so.", "session_id": 5943, "sequence_id": 349, "annotations": []}
{"role": "volunteer", "content": "I think.", "session_id": 5943, "sequence_id": 350, "annotations": []}
{"role": "student", "content": "No, you're good. I appreciate you so much.", "session_id": 5943, "sequence_id": 351, "annotations": []}
{"role": "volunteer", "content": "of course, of course", "session_id": 5943, "sequence_id": 352, "annotations": []}
{"role": "student", "content": "You're good", "session_id": 5943, "sequence_id": 353, "annotations": []}
{"role": "volunteer", "content": "OK, so", "session_id": 5943, "sequence_id": 354, "annotations": []}
{"role": "volunteer", "content": "says angle AB is congruent angle BD.", "session_id": 5943, "sequence_id": 355, "annotations": []}
{"role": "volunteer", "content": "This means that this is gonna be 25.", "session_id": 5943, "sequence_id": 356, "annotations": []}
{"role": "volunteer", "content": "and then it says angle A is 25. It says findingle C.", "session_id": 5943, "sequence_id": 357, "annotations": []}
{"role": "volunteer", "content": "Oh, and then it says that's comprehensive.", "session_id": 5943, "sequence_id": 358, "annotations": []}
{"role": "volunteer", "content": "we see", "session_id": 5943, "sequence_id": 359, "annotations": []}
{"role": "volunteer", "content": "OK, so for the first one, you're gonna want to write BDA.", "session_id": 5943, "sequence_id": 360, "annotations": []}
{"role": "student", "content": "Um", "session_id": 5943, "sequence_id": 361, "annotations": []}
{"role": "student", "content": "BDA", "session_id": 5943, "sequence_id": 362, "annotations": []}
{"role": "volunteer", "content": "um", "session_id": 5943, "sequence_id": 363, "annotations": []}
{"role": "volunteer", "content": "give me a second here", "session_id": 5943, "sequence_id": 364, "annotations": []}
{"role": "volunteer", "content": "BDA is equal to 25.", "session_id": 5943, "sequence_id": 365, "annotations": []}
{"role": "student", "content": "equal to 25.", "session_id": 5943, "sequence_id": 366, "annotations": []}
{"role": "volunteer", "content": "and", "session_id": 5943, "sequence_id": 367, "annotations": []}
{"role": "student", "content": "Oh", "session_id": 5943, "sequence_id": 368, "annotations": []}
{"role": "volunteer", "content": "the reason is based of an isosceles triangle.", "session_id": 5943, "sequence_id": 369, "annotations": []}
{"role": "student", "content": "All done.", "session_id": 5943, "sequence_id": 370, "annotations": []}
{"role": "student", "content": "And then step 3.", "session_id": 5943, "sequence_id": 371, "annotations": []}
{"role": "volunteer", "content": "That worked right", "session_id": 5943, "sequence_id": 372, "annotations": []}
{"role": "student", "content": "Yeah, yes, yes.", "session_id": 5943, "sequence_id": 373, "annotations": []}
{"role": "volunteer", "content": "OK, so", "session_id": 5943, "sequence_id": 374, "annotations": []}
{"role": "volunteer", "content": "for step 3, you're gonna want to write A, B, D", "session_id": 5943, "sequence_id": 375, "annotations": []}
{"role": "volunteer", "content": "A B D equals 130.", "session_id": 5943, "sequence_id": 376, "annotations": []}
{"role": "student", "content": "Mhm", "session_id": 5943, "sequence_id": 377, "annotations": []}
{"role": "volunteer", "content": "and the reason, the reason is some of angles in a triangle.", "session_id": 5943, "sequence_id": 378, "annotations": []}
{"role": "student", "content": "OK, that works", "session_id": 5943, "sequence_id": 379, "annotations": []}
{"role": "volunteer", "content": "OK, um", "session_id": 5943, "sequence_id": 380, "annotations": []}
{"role": "volunteer", "content": "the next one is CBD.", "session_id": 5943, "sequence_id": 381, "annotations": []}
{"role": "student", "content": "CBD, OK", "session_id": 5943, "sequence_id": 382, "annotations": []}
{"role": "volunteer", "content": "um", "session_id": 5943, "sequence_id": 383, "annotations": []}
{"role": "volunteer", "content": "CBD equals", "session_id": 5943, "sequence_id": 384, "annotations": []}
{"role": "volunteer", "content": "that was 1:30 to CBD equals 50.", "session_id": 5943, "sequence_id": 385, "annotations": []}
{"role": "student", "content": "50.", "session_id": 5943, "sequence_id": 386, "annotations": []}
{"role": "volunteer", "content": "and the reason is linear pair, said the second one.", "session_id": 5943, "sequence_id": 387, "annotations": []}
{"role": "student", "content": "OK", "session_id": 5943, "sequence_id": 388, "annotations": []}
{"role": "volunteer", "content": "That worked right", "session_id": 5943, "sequence_id": 389, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 5943, "sequence_id": 390, "annotations": []}
{"role": "volunteer", "content": "Um, and then for", "session_id": 5943, "sequence_id": 391, "annotations": []}
{"role": "volunteer", "content": "the last one, it's uh Angle C.", "session_id": 5943, "sequence_id": 392, "annotations": []}
{"role": "student", "content": "equals.", "session_id": 5943, "sequence_id": 393, "annotations": []}
{"role": "volunteer", "content": "Um.", "session_id": 5943, "sequence_id": 394, "annotations": []}
{"role": "student", "content": "e", "session_id": 5943, "sequence_id": 395, "annotations": []}
{"role": "student", "content": "al s", "session_id": 5943, "sequence_id": 396, "annotations": []}
{"role": "volunteer", "content": "wait a second", "session_id": 5943, "sequence_id": 397, "annotations": []}
{"role": "volunteer", "content": "Angle C equals 65.", "session_id": 5943, "sequence_id": 398, "annotations": []}
{"role": "student", "content": "OK", "session_id": 5943, "sequence_id": 399, "annotations": []}
{"role": "volunteer", "content": "and the reason is based of an isosceles triangle.", "session_id": 5943, "sequence_id": 400, "annotations": []}
{"role": "student", "content": "OK", "session_id": 5943, "sequence_id": 401, "annotations": []}
{"role": "volunteer", "content": "That's correct", "session_id": 5943, "sequence_id": 402, "annotations": []}
{"role": "student", "content": "Yeah, thank you so much.", "session_id": 5943, "sequence_id": 403, "annotations": []}
{"role": "volunteer", "content": "OK, of course", "session_id": 5943, "sequence_id": 404, "annotations": []}
{"role": "student", "content": "I got it.", "session_id": 5943, "sequence_id": 405, "annotations": []}
{"role": "volunteer", "content": "OK, I'm gonna have to go for today. Yeah, unfortunately.", "session_id": 5943, "sequence_id": 406, "annotations": []}
{"role": "student", "content": "OK, thank you so much.", "session_id": 5943, "sequence_id": 407, "annotations": []}
{"role": "volunteer", "content": "the time being, of course, you're welcome. Just make sure to leave a review based on how I did.", "session_id": 5943, "sequence_id": 408, "annotations": []}
{"role": "volunteer", "content": "the rest of your night", "session_id": 5943, "sequence_id": 409, "annotations": []}
{"role": "student", "content": "Oh, I will. Thank you.", "session_id": 5943, "sequence_id": 410, "annotations": []}
{"role": "volunteer", "content": "of course.", "session_id": 5943, "sequence_id": 411, "annotations": []}
{"role": "volunteer", "content": "Hello. Hi, Alex", "session_id": 5971, "sequence_id": 0, "annotations": [{"pii_type": "PERSON", "surrogate": "Alex", "start": 11, "end": 15}]}
{"role": "volunteer", "content": "How are you", "session_id": 5971, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "good how are you", "session_id": 5971, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "Oh, it's so good, thank you.", "session_id": 5971, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "Um, so you can turn on your mic if you want. Also, you can listen to me by turning the speaker on.", "session_id": 5971, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "Uh, otherwise, you can just type in the chat box. That is also fine.", "session_id": 5971, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "How can I help you today?", "session_id": 5971, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "I have a test coming up", "session_id": 5971, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 5971, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "and there is something that I just cant figure out", "session_id": 5971, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "Um, OK, so just tell me what topic is it or just uh give me some questions on that topic, and we can work on them together.", "session_id": 5971, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "let me fins the problem real quick", "session_id": 5971, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "Yes.", "session_id": 5971, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "it is where two end of a rhombus or rectangle are in an angle and it is in an equation and it has exponents and I just don't understand it", "session_id": 5971, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "Um", "session_id": 5971, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "2 ends of a rhombus or rectangle are in an angle", "session_id": 5971, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "Uh, can you draw that on this white board if possible.", "session_id": 5971, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "it looked something like that", "session_id": 5971, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 5971, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "So", "session_id": 5971, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "two ends of thrombus we", "session_id": 5971, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "are in an angle and", "session_id": 5971, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "it is an equation", "session_id": 5971, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "Um", "session_id": 5971, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "mm, I'm sorry, I'm not able to understand what exactly you want to ask.", "session_id": 5971, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "Um, do you have, have the exact question statement?", "session_id": 5971, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "Alex", "session_id": 5971, "sequence_id": 26, "annotations": [{"pii_type": "PERSON", "surrogate": "Alex", "start": 0, "end": 4}]}
{"role": "volunteer", "content": "Do you have the exact question statement?", "session_id": 5971, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "give me a sec", "session_id": 5971, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 5971, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "(7x+^2-18)   (6x^2-7)", "session_id": 5971, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "I, yeah, I got the equation.", "session_id": 5971, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "those are at the ends of the rhombus", "session_id": 5971, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "So, OK, so basically", "session_id": 5971, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "uh wait, I'll, I'll just redraw this.", "session_id": 5971, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "oka", "session_id": 5971, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "So you have a rhombus like", "session_id": 5971, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "this, let's say, and you know the", "session_id": 5971, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "two angles", "session_id": 5971, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "So this angle is", "session_id": 5971, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "7", "session_id": 5971, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "x^2 minus 18, I guess. And the other angle is", "session_id": 5971, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "66 square minus 7.", "session_id": 5971, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "Uh, is this the question and um", "session_id": 5971, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "I think you need to find the value of eggs from this.", "session_id": 5971, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "the equations are diagnole from each other", "session_id": 5971, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "Value of X", "session_id": 5971, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "uh equation", "session_id": 5971, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "diagonal from each other.", "session_id": 5971, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "Um, OK, so", "session_id": 5971, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "if this is 7X2 minus 18, then you are saying that this angle is 6 x^2 minus 7.", "session_id": 5971, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "Is this what you're trying to say?", "session_id": 5971, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "yes", "session_id": 5971, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 5971, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "Then the problem is really simple. So, uh, do you need to find the value of eggs here.", "session_id": 5971, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "I mean X", "session_id": 5971, "sequence_id": 55, "annotations": []}
{"role": "student", "content": "yes", "session_id": 5971, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "OK. So, do you know this property of rhombus or any parallelogram that opposite angles are equal", "session_id": 5971, "sequence_id": 57, "annotations": []}
{"role": "student", "content": "what do you mean?", "session_id": 5971, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "armor cap", "session_id": 5971, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "So there, there are certain properties for parallelogram, let's say.", "session_id": 5971, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "this is a parallelogram. So we know that this side is equal to this side, the length of these sides are equal, similarly, the length of these two sides are equal. We know this thing. You know that if this angle is, let's say, X, then the measure of this angle will also be X", "session_id": 5971, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "and if this angle is by, then the measure of", "session_id": 5971, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "this angle will also be by", "session_id": 5971, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "Uh, so this is a property, right, that the uh", "session_id": 5971, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "opposite angles are equal, right?", "session_id": 5971, "sequence_id": 65, "annotations": []}
{"role": "student", "content": "yes they are", "session_id": 5971, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "Yeah. They're called opposite angles, right? Because like X and Y, they are called ads and angles", "session_id": 5971, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "so, uh, these are like opposite angles.", "session_id": 5971, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "So the same I was telling you here. So, OK, is this a rhombus?", "session_id": 5971, "sequence_id": 69, "annotations": []}
{"role": "student", "content": "yes", "session_id": 5971, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "OK. So these angles should be equal, so I'll just equate these 27 x^2 minus 18 equals 6 x^2 minus 7.", "session_id": 5971, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "Now we just need to solve this equation. How should we solve this equation?", "session_id": 5971, "sequence_id": 72, "annotations": []}
{"role": "student", "content": "do the exponets first", "session_id": 5971, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "Um, OK. So, basically, I need to", "session_id": 5971, "sequence_id": 74, "annotations": []}
{"role": "volunteer", "content": "take all the variables on one side and the constant on another side, right?", "session_id": 5971, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "Of the equal to sign.", "session_id": 5971, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "this is 7", "session_id": 5971, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "so yeah", "session_id": 5971, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "so if I subtract 6 X square from both sides.", "session_id": 5971, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "What will I get? It will be 7X2 minus 18 minus 6X squares equals these post cancel out and I get -7 here.", "session_id": 5971, "sequence_id": 80, "annotations": []}
{"role": "volunteer", "content": "after this", "session_id": 5971, "sequence_id": 81, "annotations": []}
{"role": "volunteer", "content": "What is 7X2 minus 6X2.", "session_id": 5971, "sequence_id": 82, "annotations": []}
{"role": "student", "content": "1x^2", "session_id": 5971, "sequence_id": 83, "annotations": []}
{"role": "volunteer", "content": "Yeah, it's", "session_id": 5971, "sequence_id": 84, "annotations": []}
{"role": "volunteer", "content": "x^2", "session_id": 5971, "sequence_id": 85, "annotations": []}
{"role": "volunteer", "content": "minus 18 equals -7. Now I need to like kind of isolate x^2. So I need, I don't need this, so I'll add 18 both sides.", "session_id": 5971, "sequence_id": 86, "annotations": []}
{"role": "volunteer", "content": "These will cancel out to become x^2 equals minus 7 + 13, but is 18 minus 7.", "session_id": 5971, "sequence_id": 87, "annotations": []}
{"role": "student", "content": "9", "session_id": 5971, "sequence_id": 88, "annotations": []}
{"role": "volunteer", "content": "No, wait, 1897.", "session_id": 5971, "sequence_id": 89, "annotations": []}
{"role": "volunteer", "content": "17 minus 8 is 9, 18 minus 7 is what?", "session_id": 5971, "sequence_id": 90, "annotations": []}
{"role": "student", "content": "my bad 11", "session_id": 5971, "sequence_id": 91, "annotations": []}
{"role": "volunteer", "content": "Oh, OK, no problem.", "session_id": 5971, "sequence_id": 92, "annotations": []}
{"role": "volunteer", "content": "So, yeah.", "session_id": 5971, "sequence_id": 93, "annotations": []}
{"role": "volunteer", "content": "So 2 equals 11. Now I'll take root on both sides, so I'll get X equals sqrt(11).", "session_id": 5971, "sequence_id": 94, "annotations": []}
{"role": "volunteer", "content": "It can also be minus root 11.", "session_id": 5971, "sequence_id": 95, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 5971, "sequence_id": 96, "annotations": []}
{"role": "volunteer", "content": "This should be your answer", "session_id": 5971, "sequence_id": 97, "annotations": []}
{"role": "volunteer", "content": "Is this clear", "session_id": 5971, "sequence_id": 98, "annotations": []}
{"role": "student", "content": "okay, yeah thanks", "session_id": 5971, "sequence_id": 99, "annotations": []}
{"role": "volunteer", "content": "OK, no problem. Uh, do you have any other questions? So basically, the concept we use here was like quite simple. So in any rombus or let's say any parallelogram opposite angles are equal.", "session_id": 5971, "sequence_id": 100, "annotations": []}
{"role": "volunteer", "content": "You just need to keep this property in mind.", "session_id": 5971, "sequence_id": 101, "annotations": []}
{"role": "volunteer", "content": "That is all I guess", "session_id": 5971, "sequence_id": 102, "annotations": []}
{"role": "volunteer", "content": "Um, yeah, is, is there any other question I can help you with?", "session_id": 5971, "sequence_id": 103, "annotations": []}
{"role": "student", "content": "no. thank you though", "session_id": 5971, "sequence_id": 104, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 5971, "sequence_id": 105, "annotations": []}
{"role": "volunteer", "content": "Have a good day. Thank you", "session_id": 5971, "sequence_id": 106, "annotations": []}
{"role": "student", "content": "you too bye", "session_id": 5971, "sequence_id": 107, "annotations": []}
{"role": "volunteer", "content": "Bye", "session_id": 5971, "sequence_id": 108, "annotations": []}
{"role": "student", "content": "okay do i say what it is on the chat because i cant draw it on the board", "session_id": 6014, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "sure! go ahead", "session_id": 6014, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "okay Unit 5 Test Part 2-TGA - Solving Linear Equations", "session_id": 6014, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "Just to clarify, the equation I'm seeing is \"3.7p = 21.3\"?", "session_id": 6014, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "sorry i didnt finish writing", "session_id": 6014, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "All good! I'll help you once you're finished writing it!", "session_id": 6014, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "im done now", "session_id": 6014, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "Alright! Let's take a look at it!", "session_id": 6014, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "What do u think is your first step when you look at an equation like this", "session_id": 6014, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "multiplication?", "session_id": 6014, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "Nice try but let's take a closer look", "session_id": 6014, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "What are we trying to isolate here?", "session_id": 6014, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "i dont know?", "session_id": 6014, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "That's alright, but looking at your work I can see that you're trying to solve for p", "session_id": 6014, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "ohh", "session_id": 6014, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "take a look at the left side of the equation, 3.7p", "session_id": 6014, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "okay", "session_id": 6014, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "What operation is happening between 3.7 and p? Are they being multiplied, divided, added, or something else?", "session_id": 6014, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "multiply", "session_id": 6014, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "Exactly! And to solve linear equation, we need to undo these operations. What do u think will undo multiplication?", "session_id": 6014, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "divide?", "session_id": 6014, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "Yes!! That's exactly right!", "session_id": 6014, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "Would you like to give this question another attempt, and I can help you further if you need?", "session_id": 6014, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "yes that was one question on the lesson but theres another one do i draw it out on the board or paste it ?", "session_id": 6014, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "Anything works! You can draw it out on the board or paste it in the chat and I can draw it on the board!", "session_id": 6014, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "ohh okay", "session_id": 6014, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "(the following equation was solved incorrectly by a student. identify describe the error in the error in the equation above.) it says", "session_id": 6014, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "I see, once you show me the equation and the process of the student I can help you out!", "session_id": 6014, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "do i screen share how do i do that", "session_id": 6014, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "To screenshare, you can click the button on the very left in the functions for the whiteboard", "session_id": 6014, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "If that's difficult, you can always draw the question as well!", "session_id": 6014, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "okay!", "session_id": 6014, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "ok i think im done now", "session_id": 6014, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "Alright! Looking at the equation, what do you think the first step should be to solve for x", "session_id": 6014, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "3/4 x = 1/2", "session_id": 6014, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "To clarify, is that a negative 3/4 in the equation?", "session_id": 6014, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "its a minus", "session_id": 6014, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "alright got it", "session_id": 6014, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "so looking at this, the student added 3/4", "session_id": 6014, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "What would your first step be", "session_id": 6014, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "if ur not sure, just let me know and we can figure it out together!", "session_id": 6014, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "ohh okay would the first step be multiplication?", "session_id": 6014, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "Nice try, lets take a closer look", "session_id": 6014, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "Just how we did for the last equation, we need to determine the operation between -3/4 and x", "session_id": 6014, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "What do u think that is", "session_id": 6014, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "If ur not sure just let me know and we can work through it!", "session_id": 6014, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "Hello, what can I help you with today??", "session_id": 6056, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "how to draw a 85 degree vertical angel with a protractor", "session_id": 6056, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "Okay, I don't think I can show you on here because we don't have a protractor but I can explain it to you?", "session_id": 6056, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "ok", "session_id": 6056, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "Okay, so first", "session_id": 6056, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "You would start by drawing a straight horizontal line, & you can use a ruler if you would like", "session_id": 6056, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "yea", "session_id": 6056, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "You would then place the protractor on the baseline", "session_id": 6056, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "& make sure the 0\u00b0 line on the protractor lines up with the baseline", "session_id": 6056, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "you would then find the 85\u00b0 on the curved scale", "session_id": 6056, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "After, you will start from 0\u00b0 on the protractor on the same side as your baseline & Move along the inside or outside scale until you reach 85\u00b0", "session_id": 6056, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "Make a small mark at 85\u00b0", "session_id": 6056, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "& Use your ruler to draw a straight line from the vertex up to the mark", "session_id": 6056, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "You now have an 85\u00b0 angle!", "session_id": 6056, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "I found this picture online that I think really helps imagine the steps I explained :)", "session_id": 6056, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "However, instead of making a mark at the 40 degree mark in the picture, you would do the 85 degree", "session_id": 6056, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "It says that the vertical angle needs to be in the shape of an x", "session_id": 6056, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "Oh okay!", "session_id": 6056, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "For me they taught me to drag the line all the way down.", "session_id": 6056, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "For example, we can use the picture I uploaded", "session_id": 6056, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "Something like that similar to that", "session_id": 6056, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "Do you think that's helpful?", "session_id": 6056, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "yea", "session_id": 6056, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "Great!", "session_id": 6056, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "So yes, once you draw your line, you would just drag the opposite just how i did in step 4 of the picture I provided :)", "session_id": 6056, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "Is there anything else I can help you with?", "session_id": 6056, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "no thank you", "session_id": 6056, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "Okay, I hope this session was helpful in getting a better understanding!", "session_id": 6056, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "Hi Alex. How are you doing?", "session_id": 6106, "sequence_id": 0, "annotations": [{"pii_type": "PERSON", "surrogate": "Alex", "start": 3, "end": 7}]}
{"role": "student", "content": "Ben, im good", "session_id": 6106, "sequence_id": 1, "annotations": [{"pii_type": "PERSON", "surrogate": "Ben", "start": 0, "end": 3}]}
{"role": "student", "content": "oki im done", "session_id": 6106, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "OK, what does the Pythagorean theorem say?", "session_id": 6106, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "wdym?", "session_id": 6106, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "It says \"Pythagorean theorem\" so I think that's what you're learning. What is it?", "session_id": 6106, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "well it says its a fundamental principle that relates the length of the sides of a right triangle.", "session_id": 6106, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "Yes ... and what is the relationship?", "session_id": 6106, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "the square length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.", "session_id": 6106, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "It's actually quoted in Wizard of Oz", "session_id": 6106, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "Yes that's it. x\u00b2 + y\u00b2 = z\u00b2 if x and y are the sides and z is the hypotenuse", "session_id": 6106, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "What is the one side measure?", "session_id": 6106, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "75?", "session_id": 6106, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "yea i think", "session_id": 6106, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "You think? I mean, did you write 75?", "session_id": 6106, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "oh yea i did", "session_id": 6106, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "So can you solve it now?", "session_id": 6106, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "75\u00b2 + x\u00b2 = 156\u00b2", "session_id": 6106, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "oki i can try", "session_id": 6106, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "Use a calculator", "session_id": 6106, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "alr", "session_id": 6106, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "18711", "session_id": 6106, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "That 156\u00b2 - 75\u00b2", "session_id": 6106, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "So that is x\u00b2", "session_id": 6106, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "What is x?", "session_id": 6106, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "so i would find the square root of 18711?", "session_id": 6106, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "Sure.", "session_id": 6106, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "oki", "session_id": 6106, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "You know the length can't be 18711 because it doesn't fit in a triangle with sides 156 and 75", "session_id": 6106, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "yea", "session_id": 6106, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "so the sqrt of 18711 ..78", "session_id": 6106, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "Right.", "session_id": 6106, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "So that is the length of the base", "session_id": 6106, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "oki", "session_id": 6106, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "This is one of those formulas you want to learn and remember for your whole life.", "session_id": 6106, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "oki", "session_id": 6106, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "Just like area = \u03c0r\u00b2", "session_id": 6106, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "alr", "session_id": 6106, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "oki i have 1 more", "session_id": 6106, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 6106, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "It's OK it doesn't have to be perfect.", "session_id": 6106, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "yea ik just trying to be a little quick I_I", "session_id": 6106, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "So solve this the same way", "session_id": 6106, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "oki", "session_id": 6106, "sequence_id": 43, "annotations": []}
{"role": "student", "content": "so would it be 35^2 + x^2 = 38^2  ?", "session_id": 6106, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 6106, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "oki so i got x^2 = 219", "session_id": 6106, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "and x = 14.79", "session_id": 6106, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "Actually 14.80 with rounding", "session_id": 6106, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "Good, you have the idea now.", "session_id": 6106, "sequence_id": 49, "annotations": []}
{"role": "student", "content": "oki", "session_id": 6106, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "So if they give you the sides and ask for they hypotenuse, you just sum the squares of the sides and take the root", "session_id": 6106, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "oki", "session_id": 6106, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "And recognize that 3-4-5 is one, as well as 5,12,13", "session_id": 6106, "sequence_id": 53, "annotations": []}
{"role": "student", "content": "alr", "session_id": 6106, "sequence_id": 54, "annotations": []}
{"role": "student", "content": "well thank you for the help :)", "session_id": 6106, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "You're welcome.", "session_id": 6106, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "Have a good day! :-)", "session_id": 6106, "sequence_id": 57, "annotations": []}
{"role": "student", "content": "u too bye :)", "session_id": 6106, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "Bye", "session_id": 6106, "sequence_id": 59, "annotations": []}
{"role": "student", "content": "hi", "session_id": 6139, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "Hello Liam, how are you today?", "session_id": 6139, "sequence_id": 1, "annotations": [{"pii_type": "PERSON", "surrogate": "Liam", "start": 6, "end": 10}]}
{"role": "student", "content": "good", "session_id": 6139, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "How may we help you today?", "session_id": 6139, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "I need help with a promble", "session_id": 6139, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "Can you please tell or show us the problem.", "session_id": 6139, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "yes", "session_id": 6139, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "so it says new command 2 start at 6/ move 1/6 to the right in I don't know the answer to 6/", "session_id": 6139, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "I am not sure that I understand.", "session_id": 6139, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "Is this on a number line?", "session_id": 6139, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "so they trying to say like if we move the 1/6 to the right what will the answer the for 6/", "session_id": 6139, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "Do they mean move 1/6 to the right of 6?", "session_id": 6139, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "I think so", "session_id": 6139, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "Let me put a number line on the board.", "session_id": 6139, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "So if we start at 6 and move to the right, the number get larger.", "session_id": 6139, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "does that explanation make sense?", "session_id": 6139, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "So our number line is marked off in sixth's.", "session_id": 6139, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "Can you draw a circle around the mark that is one place to the right of 6?", "session_id": 6139, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "Hello Liam, are we still connected? It has been ten minutes since your last response.", "session_id": 6139, "sequence_id": 18, "annotations": [{"pii_type": "PERSON", "surrogate": "Liam", "start": 6, "end": 10}]}
{"role": "volunteer", "content": "I will need to end this session in a couple of minutes unless I see a response in chat or on the board.", "session_id": 6139, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "I hope that you have a good day.", "session_id": 6139, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "Hi, Sarah. What do you need help with?", "session_id": 6124, "sequence_id": 0, "annotations": [{"pii_type": "PERSON", "surrogate": "Sarah", "start": 4, "end": 9}]}
{"role": "student", "content": "haii im doing scientific notations", "session_id": 6124, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "i idk anything about it", "session_id": 6124, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "In scientific notation, you express a number as a*10^b, where a is at least 1 and less than 10.", "session_id": 6124, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "Let's do a problem similar to what you have.", "session_id": 6124, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "oki", "session_id": 6124, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "so how do i get the decimal?", "session_id": 6124, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "What do you mean?", "session_id": 6124, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "like how did u get 2.3 from 2,300", "session_id": 6124, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "Imagine moving the decimal point until there is only one digit to the left of it.", "session_id": 6124, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "oki", "session_id": 6124, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "so would 45,000 be 4.5?", "session_id": 6124, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "Yup", "session_id": 6124, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "times 1000", "session_id": 6124, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "1 zero for every hop you make.", "session_id": 6124, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "so 3 zeros", "session_id": 6124, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "No, four zeros, because 4.5 x 10,000 = 45,000", "session_id": 6124, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "ohh oki", "session_id": 6124, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "4.5 x 1,000 = 4,500", "session_id": 6124, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "Good job!", "session_id": 6124, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "Correct!", "session_id": 6124, "sequence_id": 20, "annotations": []}
{"role": "student", "content": ":)", "session_id": 6124, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "That's correct!", "session_id": 6124, "sequence_id": 22, "annotations": []}
{"role": "student", "content": ":)", "session_id": 6124, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "oki i have harder ones", "session_id": 6124, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "Do you remember the order of operations?", "session_id": 6124, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "yea", "session_id": 6124, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "like PEMDAS ?", "session_id": 6124, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "Yup", "session_id": 6124, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "yea", "session_id": 6124, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "parentheses, exponents, multiplication, division, addition, and subtraction", "session_id": 6124, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "Now, apply that to the numbers.", "session_id": 6124, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "oki", "session_id": 6124, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "Do you still need help?", "session_id": 6124, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "wait gimme a sec to solve", "session_id": 6124, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "so 10^6", "session_id": 6124, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "is 1000000", "session_id": 6124, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "Yes", "session_id": 6124, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "so 1000000", "session_id": 6124, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "is dat right?", "session_id": 6124, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "Yes", "session_id": 6124, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "oki", "session_id": 6124, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "10^4", "session_id": 6124, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "is 10000", "session_id": 6124, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "You're right.", "session_id": 6124, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "so 48000", "session_id": 6124, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "Yup.", "session_id": 6124, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "oki imma put another one", "session_id": 6124, "sequence_id": 47, "annotations": []}
{"role": "student", "content": "k", "session_id": 6124, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "would it be 125000?", "session_id": 6124, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "Yes", "session_id": 6124, "sequence_id": 50, "annotations": []}
{"role": "student", "content": "oki", "session_id": 6124, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "Correct!", "session_id": 6124, "sequence_id": 52, "annotations": []}
{"role": "student", "content": "oki :)", "session_id": 6124, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "Need any more help?", "session_id": 6124, "sequence_id": 54, "annotations": []}
{"role": "student", "content": "sure but do u know how to do the pythagorean theorem?", "session_id": 6124, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "Yes", "session_id": 6124, "sequence_id": 56, "annotations": []}
{"role": "student", "content": "oki i have a few of those", "session_id": 6124, "sequence_id": 57, "annotations": []}
{"role": "student", "content": "oki", "session_id": 6124, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "The sum of the squares of the legs (the two sides that are at right angles to each other) is the square of the hypotenuse (the longest side).", "session_id": 6124, "sequence_id": 59, "annotations": []}
{"role": "student", "content": "oki", "session_id": 6124, "sequence_id": 60, "annotations": []}
{"role": "student", "content": "so like this", "session_id": 6124, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "If you need more help, you can reconnect.", "session_id": 6124, "sequence_id": 62, "annotations": []}
{"role": "student", "content": "hi", "session_id": 6144, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "Hi Sam. I only have a few minutes, but maybe I can help.", "session_id": 6144, "sequence_id": 1, "annotations": [{"pii_type": "PERSON", "surrogate": "Sam", "start": 3, "end": 6}]}
{"role": "volunteer", "content": "I see you have mastered the whiteboard.", "session_id": 6144, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "yes", "session_id": 6144, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "i need help with a math qestion", "session_id": 6144, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "ima take a screen shot", "session_id": 6144, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "What is the question", "session_id": 6144, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "Okay.", "session_id": 6144, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "Can you make it bigger please", "session_id": 6144, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "ok", "session_id": 6144, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "like that", "session_id": 6144, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "yup", "session_id": 6144, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "ok", "session_id": 6144, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "do you neeed a bigger screen shot", "session_id": 6144, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "It's fine, but I can't see the names on the equations. Which one is Sarah's, and which one is Ben's?", "session_id": 6144, "sequence_id": 14, "annotations": [{"pii_type": "PERSON", "surrogate": "Sarah", "start": 68, "end": 73}, {"pii_type": "PERSON", "surrogate": "Ben", "start": 94, "end": 97}]}
{"role": "student", "content": "okay so the one that has 46 in the middle is Emily the one that has a qestion mark is Jack", "session_id": 6144, "sequence_id": 15, "annotations": [{"pii_type": "PERSON", "surrogate": "Emily", "start": 45, "end": 50}, {"pii_type": "PERSON", "surrogate": "Jack", "start": 86, "end": 90}]}
{"role": "volunteer", "content": "Okay, I figured it out. And I see you already got the first question answered correctly.", "session_id": 6144, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "yes", "session_id": 6144, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "The last item wants to know what number is the next 10 after 25, and what do you have to add to that to get it?", "session_id": 6144, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "you have to add 10 to get to the next ten right", "session_id": 6144, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "No. think about what the tens are. So if you start with 10, what's the next 10? And the next 10?", "session_id": 6144, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "10 20 30 40 like that right", "session_id": 6144, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "Exactly. So, what's the next 10 after 25?", "session_id": 6144, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "35", "session_id": 6144, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "That's not in your list of tens.", "session_id": 6144, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "They aren't asking you to add 10-25. They're asking if you counted by tens, what would be the next ten that you got to after you passed 25.", "session_id": 6144, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "So go back to your list of 10, 20...", "session_id": 6144, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "still dont get it", "session_id": 6144, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "10...20...30     So 25 gets in between 20 and 30, so the next ten after 25 is?", "session_id": 6144, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "Don't get discouraged. This is a goofy question.", "session_id": 6144, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "30", "session_id": 6144, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "right", "session_id": 6144, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "Now they want to know what would you add to 25 to get to 30?", "session_id": 6144, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "i added 5", "session_id": 6144, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "And you can see what Emily did with that.", "session_id": 6144, "sequence_id": 34, "annotations": [{"pii_type": "PERSON", "surrogate": "Emily", "start": 21, "end": 26}]}
{"role": "volunteer", "content": "Precisely.", "session_id": 6144, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "And that is what goes into that?", "session_id": 6144, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "question mark....", "session_id": 6144, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "10?", "session_id": 6144, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "https://example.come 5 in the equation", "session_id": 6144, "sequence_id": 39, "annotations": [{"pii_type": "URL", "surrogate": "https://example.com", "start": 0, "end": 19}]}
{"role": "volunteer", "content": "They are trying to show you that you can break numbers apart to make the addition easier.", "session_id": 6144, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "Apparently it's not making it any easier for you, and I think it's a little bit misleading.", "session_id": 6144, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "i dont really know math like that sorry", "session_id": 6144, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "No problem. I am right there with you, Sam.", "session_id": 6144, "sequence_id": 43, "annotations": [{"pii_type": "PERSON", "surrogate": "Sam", "start": 39, "end": 42}]}
{"role": "volunteer", "content": "I hope that helped. I'm sorry, but I have to go now.", "session_id": 6144, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "ok", "session_id": 6144, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "I'm betting you could have just added it up, and all would have been well.", "session_id": 6144, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "hello, i would like help on my geometry homework please", "session_id": 6148, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "hello", "session_id": 6148, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 6148, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "so", "session_id": 6148, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "we know that these 2 tris are congruent right?", "session_id": 6148, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "yes", "session_id": 6148, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "ok, so if all the angles are the same, we can assume that these two are congruent because of SSS", "session_id": 6148, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "but it shows angles tho?", "session_id": 6148, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "wdym shows angles", "session_id": 6148, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "ur close tho", "session_id": 6148, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "like 30 degress and the 50 ?", "session_id": 6148, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "yes that is correct", "session_id": 6148, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "sorry typo, its not SSS", "session_id": 6148, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "AAS", "session_id": 6148, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "do u understand?", "session_id": 6148, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "Liam that one", "session_id": 6148, "sequence_id": 15, "annotations": [{"pii_type": "PERSON", "surrogate": "Liam", "start": 0, "end": 4}]}
{"role": "student", "content": "yes yes", "session_id": 6148, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "nice one", "session_id": 6148, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "any more help with more of geomtry questions?", "session_id": 6148, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "yes give me a sec", "session_id": 6148, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 6148, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "this one I think is SAS", "session_id": 6148, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "lemme see", "session_id": 6148, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "ok", "session_id": 6148, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "not quite", "session_id": 6148, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "we can see the a side and an angle are the same", "session_id": 6148, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "wdym?", "session_id": 6148, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "For the SAS postulate, the side you use must be the included side (the side between the two known angles).", "session_id": 6148, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "aha", "session_id": 6148, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "so from that, the answer would be AAS instead of SAS", "session_id": 6148, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "these questions are tricky so dont fret", "session_id": 6148, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "Noah got it thanks", "session_id": 6148, "sequence_id": 31, "annotations": [{"pii_type": "PERSON", "surrogate": "Noah", "start": 0, "end": 4}]}
{"role": "volunteer", "content": "yep np", "session_id": 6148, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "anything else?", "session_id": 6148, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "yes sorry", "session_id": 6148, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "For this problem, look at the sides. You have three pairs of sides that are either marked as equal or are a shared side. Can you identify the three pairs of congruent sides?", "session_id": 6148, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "WSV and XYW?", "session_id": 6148, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "Nice! That is correct.", "session_id": 6148, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "You have the right answer, but do you know why?", "session_id": 6148, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "not really?", "session_id": 6148, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "Ok, let me clarify.", "session_id": 6148, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "We know that the two sides are congruent.", "session_id": 6148, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "yup", "session_id": 6148, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "From that, we can use the reflexive property.", "session_id": 6148, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "Because WZ is a shared side", "session_id": 6148, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "okay", "session_id": 6148, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "Hence, we can determine that the triangles of the shared side are both the same length.", "session_id": 6148, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "And since we have 3 equal sides, we can say that they are both congruent because of SSS", "session_id": 6148, "sequence_id": 47, "annotations": []}
{"role": "student", "content": "ohhhh got it got it", "session_id": 6148, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "Nice, you have the answer, but do you know the reasoning?", "session_id": 6148, "sequence_id": 49, "annotations": []}
{"role": "student", "content": "yes because it shows the first angle then the side so in the R it will clearly be another angle since there isn't a side to it", "session_id": 6148, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "That is correct, but can you explain why the other angle is congruent?", "session_id": 6148, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "because both of them both have the same angles and sides", "session_id": 6148, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "Do you remember when two lines intersect, their angles opposite to each other are congruent?", "session_id": 6148, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "That's why, but nice you got it correct", "session_id": 6148, "sequence_id": 54, "annotations": []}
{"role": "student", "content": "ohhhh okay thank you", "session_id": 6148, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "ye", "session_id": 6148, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "nice, u have the correct answer", "session_id": 6148, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "thats because of the reflexive property, where the two triangles share the same side", "session_id": 6148, "sequence_id": 58, "annotations": []}
{"role": "student", "content": "oh yeah!", "session_id": 6148, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "Any other problems?", "session_id": 6148, "sequence_id": 60, "annotations": []}
{"role": "student", "content": "this one please", "session_id": 6148, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "You are doing very well, that is right", "session_id": 6148, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "Since you have two congruent size and an angle, we can say that is is bc of SAS", "session_id": 6148, "sequence_id": 63, "annotations": []}
{"role": "student", "content": "yes since they already gave us them right?", "session_id": 6148, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "Yes, correct", "session_id": 6148, "sequence_id": 65, "annotations": []}
{"role": "student", "content": "this one I'm kinda struggling with", "session_id": 6148, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "Remember when two lines intersect, their opposite angles are the same, so...", "session_id": 6148, "sequence_id": 67, "annotations": []}
{"role": "student", "content": "I think it'll be SAS", "session_id": 6148, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "yes, correct", "session_id": 6148, "sequence_id": 69, "annotations": []}
{"role": "student", "content": "Oh! Nice!!", "session_id": 6148, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "Anything else?", "session_id": 6148, "sequence_id": 71, "annotations": []}
{"role": "student", "content": "yes give me a sec", "session_id": 6148, "sequence_id": 72, "annotations": []}
{"role": "student", "content": "ASA?..", "session_id": 6148, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "This one is straight forward, that is correct", "session_id": 6148, "sequence_id": 74, "annotations": []}
{"role": "student", "content": "oh okay", "session_id": 6148, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "2 angles and a side are given", "session_id": 6148, "sequence_id": 76, "annotations": []}
{"role": "student", "content": "now this one I don't know at all", "session_id": 6148, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "Hmm, this problem is tricky.", "session_id": 6148, "sequence_id": 78, "annotations": []}
{"role": "student", "content": "I know!!", "session_id": 6148, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "What is it? and why?", "session_id": 6148, "sequence_id": 80, "annotations": []}
{"role": "student", "content": "A?", "session_id": 6148, "sequence_id": 81, "annotations": []}
{"role": "volunteer", "content": "Correct, nice", "session_id": 6148, "sequence_id": 82, "annotations": []}
{"role": "student", "content": "ohh thanks", "session_id": 6148, "sequence_id": 83, "annotations": []}
{"role": "student", "content": "one more question sorry", "session_id": 6148, "sequence_id": 84, "annotations": []}
{"role": "volunteer", "content": "ofc, Im happy to help", "session_id": 6148, "sequence_id": 85, "annotations": []}
{"role": "student", "content": "thanks!", "session_id": 6148, "sequence_id": 86, "annotations": []}
{"role": "student", "content": "this one I think it'll be AAS", "session_id": 6148, "sequence_id": 87, "annotations": []}
{"role": "volunteer", "content": "Leo see", "session_id": 6148, "sequence_id": 88, "annotations": [{"pii_type": "PERSON", "surrogate": "Leo", "start": 0, "end": 3}]}
{"role": "student", "content": "ofc", "session_id": 6148, "sequence_id": 89, "annotations": []}
{"role": "volunteer", "content": "So we see that two angles are given", "session_id": 6148, "sequence_id": 90, "annotations": []}
{"role": "volunteer", "content": "and due to the reflexive property, we have a congruent side", "session_id": 6148, "sequence_id": 91, "annotations": []}
{"role": "volunteer", "content": "do you know whats the diff btw ASA and AAS?", "session_id": 6148, "sequence_id": 92, "annotations": []}
{"role": "volunteer", "content": "they have same amount of sides and angles, but they are diff", "session_id": 6148, "sequence_id": 93, "annotations": []}
{"role": "student", "content": "ye ASA give the Angle first then side then angle", "session_id": 6148, "sequence_id": 94, "annotations": []}
{"role": "student", "content": "unline AAS it give two angles then side", "session_id": 6148, "sequence_id": 95, "annotations": []}
{"role": "volunteer", "content": "Correct, it is AAS", "session_id": 6148, "sequence_id": 96, "annotations": []}
{"role": "volunteer", "content": "notice how the side isn't between the two angles", "session_id": 6148, "sequence_id": 97, "annotations": []}
{"role": "student", "content": "ohh yes!", "session_id": 6148, "sequence_id": 98, "annotations": []}
{"role": "volunteer", "content": "nice job", "session_id": 6148, "sequence_id": 99, "annotations": []}
{"role": "volunteer", "content": "i gtg, u did good", "session_id": 6148, "sequence_id": 100, "annotations": []}
{"role": "student", "content": "Thank you for your help today!", "session_id": 6148, "sequence_id": 101, "annotations": []}
{"role": "student", "content": "have a nice day", "session_id": 6148, "sequence_id": 102, "annotations": []}
{"role": "volunteer", "content": "np u too", "session_id": 6148, "sequence_id": 103, "annotations": []}
{"role": "student", "content": "thanks", "session_id": 6148, "sequence_id": 104, "annotations": []}
{"role": "student", "content": "hello", "session_id": 6162, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "eveing", "session_id": 6162, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "I want to practice for a math test I have tomorrow", "session_id": 6162, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "its based on these topics", "session_id": 6162, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "give me a minute", "session_id": 6162, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "give me a few minutes, I have to get water", "session_id": 6162, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "simplifying and expressing in the form A+Bi\nsimplifying radicals and multiplying radicals\nProve that if a and B< or > 0, then Root a x root b =- root ab\nmultiplying and dividing complex numbers\nAbsolute value and their conjugates\nFinding values of x and y to make each equation true.\ncalculating the distance of a complex number from its origin on a graph\ndetermining real numbers for x and y for which the given statement is true.\nFinding discriminant and how many roots and the type of roots it has\nsolving with any method of complex numbers\nsolving quadratic problems with the square root property\nWriting a quadratic equation for a given solution set\nfinding the other root and value of c or b if one root is given\ndetermining the value of k to see whether the graoh will have its indicated number of real zeros\nchecking if the solution set for the quadratic set is correct\ndetermining the value for k so that the given conditions are satisfied.\nSketching vertex, AOS, 2 other points, zeros, and type.\nFinding an equation through 2 points.\nAlgebraic word problems", "session_id": 6162, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "hello?", "session_id": 6162, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "Mr. David", "session_id": 6162, "sequence_id": 8, "annotations": [{"pii_type": "PERSON", "surrogate": "Mr. David", "start": 0, "end": 9}]}
{"role": "volunteer", "content": "which one you want to start wiht", "session_id": 6162, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "I have one question to go", "session_id": 6162, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "then I want you to find me some problems", "session_id": 6162, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "check what i did", "session_id": 6162, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "nope", "session_id": 6162, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "is that correct?", "session_id": 6162, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "I have another problem as well", "session_id": 6162, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "eeyp", "session_id": 6162, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "2px+px+2=0", "session_id": 6162, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "one root is 5", "session_id": 6162, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "find the other root and p", "session_id": 6162, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "This I dont know how to do", "session_id": 6162, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "you mean this?", "session_id": 6162, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "yes but its 2px^2", "session_id": 6162, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "not just 2x^2", "session_id": 6162, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "Then you substitute x=5 into here", "session_id": 6162, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "huh?", "session_id": 6162, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "why 5?", "session_id": 6162, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "for x", "session_id": 6162, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "one root is 5, yea?", "session_id": 6162, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "yes", "session_id": 6162, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "Mr. David", "session_id": 6162, "sequence_id": 30, "annotations": [{"pii_type": "PERSON", "surrogate": "Mr. David", "start": 0, "end": 9}]}
{"role": "student", "content": "?", "session_id": 6162, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "I'm done", "session_id": 6162, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "ok", "session_id": 6162, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "can you help and look around for some algebra 2 problems based on the ones I wrote here?", "session_id": 6162, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "like quadratic word problems, finding x and y, checking the roots and type and whatnot", "session_id": 6162, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "maybe give me another one?", "session_id": 6162, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "I kind of dont have any", "session_id": 6162, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "I can provide examples though", "session_id": 6162, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 6162, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "look, if you don't have any imma get going now", "session_id": 6162, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "Can you help me better understand this problem", "session_id": 6193, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "sure! for the record, are you allowed to use a calculator?", "session_id": 6193, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "No", "session_id": 6193, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "ok so, to start, we're gonna want to turn this into an improper fraction. 1 as a fraction with a denominator of 4 is 4/4. So what is 4/4 +3/4?", "session_id": 6193, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "1.75", "session_id": 6193, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "what is it as an improper fraction?", "session_id": 6193, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "Idk", "session_id": 6193, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "well since both fractions have the same denominator, just do 3+4. What's 3+4?", "session_id": 6193, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "7", "session_id": 6193, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "so the numerators combined are 7, and we just leave the denominator as 4. So it's -7/4, because there's also a negative in front of the number.", "session_id": 6193, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "The answer will be a positive", "session_id": 6193, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "Now, something nice we can do with this exponent on the outside of the parenthesis is we can apply it to the numerator and denominator seperately.", "session_id": 6193, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "yes it will", "session_id": 6193, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "Okay", "session_id": 6193, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "so now I don't really know how you would compute this without a calculator \ud83d\ude2d but you would simplify both 7^12 and 4^12 and then divide the two numbers you get", "session_id": 6193, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "so 7x7x7x7x7x7x7x7x7x7x7x7 over 4x4x4x4x4x4x4x4x4x4x4x4", "session_id": 6193, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "No i do have a calculator on my iPad but i don\u2019t really like using because i have to study for a quiz", "session_id": 6193, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "You dont have to, but multiplying 7 and 4 twelve times each on paper without a calculator is kind of tiring", "session_id": 6193, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "Okay", "session_id": 6193, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "Hello, How are you doing today?", "session_id": 6158, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "HHi", "session_id": 6158, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "What can I help you with?", "session_id": 6158, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "Oh", "session_id": 6158, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "He", "session_id": 6158, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "Hello", "session_id": 6158, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "Hi", "session_id": 6158, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "Hi", "session_id": 6158, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "OK, now", "session_id": 6158, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "OK, can you, can,", "session_id": 6158, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 6158, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "Yeah.", "session_id": 6158, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "what do you need help with?", "session_id": 6158, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "OK. I need", "session_id": 6158, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "need help with um uh not having any I will um put it on the board.", "session_id": 6158, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "OK", "session_id": 6158, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "What?", "session_id": 6158, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "Um", "session_id": 6158, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "so, um, yeah, this is what I need help with", "session_id": 6158, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "um", "session_id": 6158, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "27.5 divided by 0.55.", "session_id": 6158, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "ok I can help you with this", "session_id": 6158, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "OK, thank you", "session_id": 6158, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "an easy way is to remove the decimal by multiplying", "session_id": 6158, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 6158, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "OK", "session_id": 6158, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "Um, I I you for.", "session_id": 6158, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "Mm", "session_id": 6158, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "Hey! What can I help you with", "session_id": 6242, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "Hello, I am having difficulty with proving two triangles congruent using a two column proof. I have some practice problems in a book I would like to solve.", "session_id": 6242, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "Okay! Can you take a picture and paste them in board?", "session_id": 6242, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "I'll draw it because I dont know how to take a photo", "session_id": 6242, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "Sure", "session_id": 6242, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "The given is that DE is parallel to FG, and angle E is congruent to angle G", "session_id": 6242, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "Alright! Let me take a look", "session_id": 6242, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "From what I can see, these triangles are congruent because of AAS", "session_id": 6242, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "could you explain that to me?", "session_id": 6242, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "or draw it out?", "session_id": 6242, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "Sure! The triangles share segment DF so they have an equal side", "session_id": 6242, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "And because of alternate interior angle thereom, they share an angle as well", "session_id": 6242, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "Oh, I think I understand it now", "session_id": 6242, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "Great! Is there any other problem you need help with?", "session_id": 6242, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "I would like to try another", "session_id": 6242, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "the given is MS is congruent to RQ, and that they are also parallel.", "session_id": 6242, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "Here, the alternate interior angle thereom also applies", "session_id": 6242, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "This means that angle M=R, and S=Q", "session_id": 6242, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "Do you get how to look for alternate interior angles?", "session_id": 6242, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "I think it's if they are plainly shown as on the interior of the angle, and alternate from eachother. am I correct?", "session_id": 6242, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "Yes! In this instance, you can also use the vertical angle theorem to show AAS", "session_id": 6242, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "Do you understand this problem now?", "session_id": 6242, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 6242, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "Do you have any other problems you would like to look over?", "session_id": 6242, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "Would it be possible for me to also show that point P is bisecting MR and SQ, to make MP congruent to PR and QS congruent to PQ? If so, could I say that because the sides are congruent and that MS and QR are parallel, I can use SSS to state that the triangles are congruent?", "session_id": 6242, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "Unless it is given that point P bisects MR and SQ, you cannot do that", "session_id": 6242, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "I would think that there is a way to show that P is a midpoint, but I don't think that it's possible here. I have one last one I would like to do", "session_id": 6242, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "sure!", "session_id": 6242, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "Yes, there is a way to prove bisection, but you're right that it's not possible in this one", "session_id": 6242, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "The given is that AB is congruent to CB, angle A is congruent to angle C and that DB bisects angle ABC", "session_id": 6242, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "The book says that I have to prove AD congruent to CD, but I would like to see if I can prove the triangles congruent", "session_id": 6242, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "These triangles are congruent because of ASA", "session_id": 6242, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "since DB bisects angle ABC, that means angle ABD = DBC", "session_id": 6242, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "I see", "session_id": 6242, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "Thank you for the help!", "session_id": 6242, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "Alright! Have a good one", "session_id": 6242, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "hi how are you", "session_id": 6267, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "Hi, I'm doing good! What would you like help with today?", "session_id": 6267, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "i am doing integrals and i forgot how to do one when theres a denominator", "session_id": 6267, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "Okay, no problem! Do you have a specific example you would like to discuss?", "session_id": 6267, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "theres this one", "session_id": 6267, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "Okay, your antiderivative for the first term is correct! It is indeed (5x^3)/3.", "session_id": 6267, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "So, for the second part, it's best to rewrite it where x has a single exponent. What do you get when you do this?", "session_id": 6267, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "Yes, that is correct! Now, what is the antiderivative of x^(2/3)?", "session_id": 6267, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "Yes, that is correct! The antiderivative is (3/5)(x^(5/3)). Good job!", "session_id": 6267, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "Now, add back in the constant. What is the antiderivative of the entire second term?", "session_id": 6267, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "So does the 2 not matter?", "session_id": 6267, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "oh is that the constant", "session_id": 6267, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "It does - that's white I'm referring to when I say the constant.", "session_id": 6267, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "*what", "session_id": 6267, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "sorry", "session_id": 6267, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "So, what's the antiderivative of the second term?", "session_id": 6267, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "Yes, that's correct! It is (3/10)(x^(5/3)). Now, there's one small thing I want to point out: there shouldn't be a negative sign on the sum of the two terms.", "session_id": 6267, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "oh yes youre right i thought the 27 was negative for some reaon", "session_id": 6267, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "Alright, no problem. Now, evaluate the antiderivative by plugging in the two bounds. What do you get?", "session_id": 6267, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "-21745", "session_id": 6267, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "So, your first, second, and last terms are correct. Try plugging 8 into 5/3 * x^3 again. What do you get?", "session_id": 6267, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "Yes, that updated value is correct. Now, what does the expression evaluate to?", "session_id": 6267, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "oh oops so 32014.96", "session_id": 6267, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "32015", "session_id": 6267, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "Yes, that is correct! Nice job.", "session_id": 6267, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "hm it doesnt say to round", "session_id": 6267, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "but it keeps saying its wrong", "session_id": 6267, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "Maybe try plugging in the value with the two decimal places. That would be either 32014.96 or 32014.97 based on how you round.", "session_id": 6267, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "no its still wrong", "session_id": 6267, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "I've plugged the definite integral into my graphing calculator and it gave 32014.966. There might be an issue with the question's answer.", "session_id": 6267, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "okayyy", "session_id": 6267, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "thank you for your help!", "session_id": 6267, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "happy holidays", "session_id": 6267, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "No problem! Feel free to come back if you need help with anything else!", "session_id": 6267, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "Happy holidays and have a great day!", "session_id": 6267, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "thankss bye", "session_id": 6267, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "you too", "session_id": 6267, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "Hey, can you hear me now?", "session_id": 6209, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "It says that your mic is off for me", "session_id": 6209, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "Can you turn it on and see if it works?", "session_id": 6209, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "Hey, can you hear me", "session_id": 6209, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "Yeah, yeah", "session_id": 6209, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "Oh, thank you. Um, this is Sarah's's parents. I just signed up for her so that, uh,", "session_id": 6209, "sequence_id": 5, "annotations": [{"pii_type": "PERSON", "surrogate": "Sarah's", "start": 27, "end": 34}]}
{"role": "student", "content": "since she has issues with um", "session_id": 6209, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "algebra 1", "session_id": 6209, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "Mhm. OK.", "session_id": 6209, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "So I need her", "session_id": 6209, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "she says her knowledge, she wants to deepen her knowledge, but she's kind of nervous. She doesn't like the algebra, so.", "session_id": 6209, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "I go through this with that.", "session_id": 6209, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "she can get help from here.", "session_id": 6209, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "OK. Sounds good. Um", "session_id": 6209, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "Uh.", "session_id": 6209, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "I'm ready to help to", "session_id": 6209, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "So you can continue speaking with her, Shes here.", "session_id": 6209, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "Yeah, OK, sounds good.", "session_id": 6209, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "Mm.", "session_id": 6209, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "Mhm.", "session_id": 6209, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "Mhm.", "session_id": 6209, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "Oh yeah, yeah, expensive.", "session_id": 6209, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 6209, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "Hey man", "session_id": 6209, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "Alex", "session_id": 6209, "sequence_id": 24, "annotations": [{"pii_type": "PERSON", "surrogate": "Alex", "start": 0, "end": 4}]}
{"role": "student", "content": "Hi", "session_id": 6209, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "uh", "session_id": 6209, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "Good evening", "session_id": 6209, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "Good evening", "session_id": 6209, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "Uh, so what do you need help on withoutwara one.", "session_id": 6209, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "Uh, I'm still working at.", "session_id": 6209, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "I", "session_id": 6209, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "I", "session_id": 6209, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "Compound inequalities.", "session_id": 6209, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "compound inequalities, OK.", "session_id": 6209, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "OK", "session_id": 6209, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "Um, do you have a worksheet or an assignment that you want me to look at that you can send over?", "session_id": 6209, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "Uh, no, I don't have a worksheet or a, an assignment, but I don't really understand it much.", "session_id": 6209, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "OK. So", "session_id": 6209, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "let's see", "session_id": 6209, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "OK, compound inequalities. Let me find some.", "session_id": 6209, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "practice problems we can look at together.", "session_id": 6209, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "OK", "session_id": 6209, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "https://example.com/math_problems", "session_id": 6209, "sequence_id": 43, "annotations": [{"pii_type": "URL", "surrogate": "https://example.com/math_problems", "start": 0, "end": 33}]}
{"role": "volunteer", "content": "All right. Also, I'm sending you a link right now.", "session_id": 6209, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "OK, copy and paste that link for me. Will you?", "session_id": 6209, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "this.", "session_id": 6209, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "Do you see the link", "session_id": 6209, "sequence_id": 47, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 6209, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 6209, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "perfect", "session_id": 6209, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "OK, so let's work on number one.", "session_id": 6209, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "All right", "session_id": 6209, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "Does this look familiar? Is this like what your lemming stool as well?", "session_id": 6209, "sequence_id": 53, "annotations": []}
{"role": "student", "content": "Hold on a second, please. She needs helping.", "session_id": 6209, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "OK, sounds good", "session_id": 6209, "sequence_id": 55, "annotations": []}
{"role": "student", "content": "the", "session_id": 6209, "sequence_id": 56, "annotations": []}
{"role": "student", "content": "OK", "session_id": 6209, "sequence_id": 57, "annotations": []}
{"role": "student", "content": "Con.", "session_id": 6209, "sequence_id": 58, "annotations": []}
{"role": "student", "content": "the", "session_id": 6209, "sequence_id": 59, "annotations": []}
{"role": "student", "content": "Yeah, I see it.", "session_id": 6209, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "OK do you see it", "session_id": 6209, "sequence_id": 61, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 6209, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "OK. All right. Let's work through the first one together, right? I'm gonna write it out on the whiteboard.", "session_id": 6209, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "So it's edge of one less than.", "session_id": 6209, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "2 x + 3.", "session_id": 6209, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "plus the 9", "session_id": 6209, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "You see my wife, can you see my right here?", "session_id": 6209, "sequence_id": 67, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 6209, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "OK. So", "session_id": 6209, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "when you have to compound inequalities like this, with this less than or equal the size. What you can do, you can split them up.", "session_id": 6209, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "into two smaller inequalities.", "session_id": 6209, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "like this.", "session_id": 6209, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "but because", "session_id": 6209, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "but by splitting it up into two smaller inequalities, you need to include the word and.", "session_id": 6209, "sequence_id": 74, "annotations": []}
{"role": "volunteer", "content": "Do you know what the word and means", "session_id": 6209, "sequence_id": 75, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 6209, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 6209, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "And now we would just solve both the these, these two sides. So we would get", "session_id": 6209, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "negative uh", "session_id": 6209, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "4, I'll do the left side first, so it's -4, less than 2 at.", "session_id": 6209, "sequence_id": 80, "annotations": []}
{"role": "volunteer", "content": "So, and that gets us to add to straighter than -2, right?", "session_id": 6209, "sequence_id": 81, "annotations": []}
{"role": "student", "content": "Yeah.", "session_id": 6209, "sequence_id": 82, "annotations": []}
{"role": "volunteer", "content": "And now we got", "session_id": 6209, "sequence_id": 83, "annotations": []}
{"role": "volunteer", "content": "2 at less than 6.", "session_id": 6209, "sequence_id": 84, "annotations": []}
{"role": "volunteer", "content": "for the right side, right, which is -3.", "session_id": 6209, "sequence_id": 85, "annotations": []}
{"role": "volunteer", "content": "And then X is less than 3.", "session_id": 6209, "sequence_id": 86, "annotations": []}
{"role": "volunteer", "content": "OK.", "session_id": 6209, "sequence_id": 87, "annotations": []}
{"role": "volunteer", "content": "Now that we've solved both of these um inequalities, the two sides, right?", "session_id": 6209, "sequence_id": 88, "annotations": []}
{"role": "volunteer", "content": "Now, what I like to do, that it, um.", "session_id": 6209, "sequence_id": 89, "annotations": []}
{"role": "volunteer", "content": "I draw up both inequalities. So this is the ads greater than -2 draft, right?", "session_id": 6209, "sequence_id": 90, "annotations": []}
{"role": "volunteer", "content": "Let's just say this is -2.", "session_id": 6209, "sequence_id": 91, "annotations": []}
{"role": "student", "content": "Mhm", "session_id": 6209, "sequence_id": 92, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 6209, "sequence_id": 93, "annotations": []}
{"role": "volunteer", "content": "I have an open circle, which is not a, and then I shade everything from here on out, right?", "session_id": 6209, "sequence_id": 94, "annotations": []}
{"role": "student", "content": "Mhm", "session_id": 6209, "sequence_id": 95, "annotations": []}
{"role": "student", "content": "Mhm", "session_id": 6209, "sequence_id": 96, "annotations": []}
{"role": "volunteer", "content": "And then for the second side, I would go.", "session_id": 6209, "sequence_id": 97, "annotations": []}
{"role": "volunteer", "content": "less than 3", "session_id": 6209, "sequence_id": 98, "annotations": []}
{"role": "volunteer", "content": "say 3 is about there", "session_id": 6209, "sequence_id": 99, "annotations": []}
{"role": "volunteer", "content": "Open circle again, shade.", "session_id": 6209, "sequence_id": 100, "annotations": []}
{"role": "volunteer", "content": "And because this word says and I would be looking for points where they both are. So like I would try to find where they both intersect. In this case, they intersect at these two points, right?", "session_id": 6209, "sequence_id": 101, "annotations": []}
{"role": "volunteer", "content": "So both of these this region is common in both the inequalities, right?", "session_id": 6209, "sequence_id": 102, "annotations": []}
{"role": "volunteer", "content": "You see that", "session_id": 6209, "sequence_id": 103, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 6209, "sequence_id": 104, "annotations": []}
{"role": "volunteer", "content": "OK. Does that make sense?", "session_id": 6209, "sequence_id": 105, "annotations": []}
{"role": "student", "content": "Can you reread it again cause it's a bit confusing.", "session_id": 6209, "sequence_id": 106, "annotations": []}
{"role": "volunteer", "content": "OK, yeah, yeah, sure", "session_id": 6209, "sequence_id": 107, "annotations": []}
{"role": "volunteer", "content": "Um", "session_id": 6209, "sequence_id": 108, "annotations": []}
{"role": "volunteer", "content": "OK, we're just, I'm just gonna write the, the final two inequalities, just I think you got it from there, right?", "session_id": 6209, "sequence_id": 109, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 6209, "sequence_id": 110, "annotations": []}
{"role": "volunteer", "content": "OK, so add straight to the -2, and", "session_id": 6209, "sequence_id": 111, "annotations": []}
{"role": "student", "content": "Mm", "session_id": 6209, "sequence_id": 112, "annotations": []}
{"role": "volunteer", "content": "and that's less than 3.", "session_id": 6209, "sequence_id": 113, "annotations": []}
{"role": "volunteer", "content": "OK. So, let me draw this one out first.", "session_id": 6209, "sequence_id": 114, "annotations": []}
{"role": "volunteer", "content": "So 2 is about here.", "session_id": 6209, "sequence_id": 115, "annotations": []}
{"role": "volunteer", "content": "I'll just say it's there", "session_id": 6209, "sequence_id": 116, "annotations": []}
{"role": "volunteer", "content": "Open circle", "session_id": 6209, "sequence_id": 117, "annotations": []}
{"role": "volunteer", "content": "you know the difference between open and closed circles, right?", "session_id": 6209, "sequence_id": 118, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 6209, "sequence_id": 119, "annotations": []}
{"role": "student", "content": "Yeah. Open circles for just less than and graded in in flow circles for less than or equal to in", "session_id": 6209, "sequence_id": 120, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 6209, "sequence_id": 121, "annotations": []}
{"role": "student", "content": "or graded in equal to.", "session_id": 6209, "sequence_id": 122, "annotations": []}
{"role": "volunteer", "content": "OK. And I'm gonna draw the second one.", "session_id": 6209, "sequence_id": 123, "annotations": []}
{"role": "volunteer", "content": "below the first inequality, and I'll and I'll say what.", "session_id": 6209, "sequence_id": 124, "annotations": []}
{"role": "volunteer", "content": "and this is what, this is what the solution regions like for the two separate inequalities, OK?", "session_id": 6209, "sequence_id": 125, "annotations": []}
{"role": "volunteer", "content": "Does that make sense", "session_id": 6209, "sequence_id": 126, "annotations": []}
{"role": "student", "content": "It is.", "session_id": 6209, "sequence_id": 127, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 6209, "sequence_id": 128, "annotations": []}
{"role": "student", "content": "Mm.", "session_id": 6209, "sequence_id": 129, "annotations": []}
{"role": "volunteer", "content": "for this one, because it says the word and I'm looking for the intersection between these two inequalities. So that means what part of both of these inequalities is shaded.", "session_id": 6209, "sequence_id": 130, "annotations": []}
{"role": "volunteer", "content": "Like what part, what numbers are in both of these, and I see that this whole region", "session_id": 6209, "sequence_id": 131, "annotations": []}
{"role": "volunteer", "content": "in between 2 and 3.", "session_id": 6209, "sequence_id": 132, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 6209, "sequence_id": 133, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 6209, "sequence_id": 134, "annotations": []}
{"role": "volunteer", "content": "It's common for both these inequalities, right? So the my hands.", "session_id": 6209, "sequence_id": 135, "annotations": []}
{"role": "student", "content": "Do you want me to say the numbers in between those?", "session_id": 6209, "sequence_id": 136, "annotations": []}
{"role": "volunteer", "content": "Uh, no, no, no. I, this", "session_id": 6209, "sequence_id": 137, "annotations": []}
{"role": "volunteer", "content": "the, the numbers are just from 2 to 3. So you don't really need to say it. All you need to say is that the answer to this inequality is this that intersection.", "session_id": 6209, "sequence_id": 138, "annotations": []}
{"role": "student", "content": "OK", "session_id": 6209, "sequence_id": 139, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 6209, "sequence_id": 140, "annotations": []}
{"role": "volunteer", "content": "Um.", "session_id": 6209, "sequence_id": 141, "annotations": []}
{"role": "student", "content": "Mhm", "session_id": 6209, "sequence_id": 142, "annotations": []}
{"role": "volunteer", "content": "Um", "session_id": 6209, "sequence_id": 143, "annotations": []}
{"role": "student", "content": "Mhm", "session_id": 6209, "sequence_id": 144, "annotations": []}
{"role": "student", "content": "Mm", "session_id": 6209, "sequence_id": 145, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 6209, "sequence_id": 146, "annotations": []}
{"role": "volunteer", "content": "OK. Let's do", "session_id": 6209, "sequence_id": 147, "annotations": []}
{"role": "volunteer", "content": "the second one on there.", "session_id": 6209, "sequence_id": 148, "annotations": []}
{"role": "volunteer", "content": "OK. I'm gonna, I'm gonna ask that you do the second one and I'll just watch you do it. Uh, so 4.", "session_id": 6209, "sequence_id": 149, "annotations": []}
{"role": "volunteer", "content": "less than", "session_id": 6209, "sequence_id": 150, "annotations": []}
{"role": "volunteer", "content": "X + 1", "session_id": 6209, "sequence_id": 151, "annotations": []}
{"role": "volunteer", "content": "less than 10", "session_id": 6209, "sequence_id": 152, "annotations": []}
{"role": "volunteer", "content": "All right.", "session_id": 6209, "sequence_id": 153, "annotations": []}
{"role": "volunteer", "content": "Work on that one and then come back to me if you, if you need help.", "session_id": 6209, "sequence_id": 154, "annotations": []}
{"role": "student", "content": "OK", "session_id": 6209, "sequence_id": 155, "annotations": []}
{"role": "student", "content": "This is what I got, uh.", "session_id": 6209, "sequence_id": 156, "annotations": []}
{"role": "student", "content": "I", "session_id": 6209, "sequence_id": 157, "annotations": []}
{"role": "student", "content": "this", "session_id": 6209, "sequence_id": 158, "annotations": []}
{"role": "student", "content": "quite crucial", "session_id": 6209, "sequence_id": 159, "annotations": []}
{"role": "student", "content": "Mm.", "session_id": 6209, "sequence_id": 160, "annotations": []}
{"role": "student", "content": "see.", "session_id": 6209, "sequence_id": 161, "annotations": []}
{"role": "student", "content": "Is it correct", "session_id": 6209, "sequence_id": 162, "annotations": []}
{"role": "student", "content": "I feel like I made a little bit of mistake.", "session_id": 6209, "sequence_id": 163, "annotations": []}
{"role": "student", "content": "Hello", "session_id": 6209, "sequence_id": 164, "annotations": []}
{"role": "volunteer", "content": "I'm sorry, I was on mute this whole time. That's my fault. Um, I'd say it was a really, um, you're slightly off.", "session_id": 6209, "sequence_id": 165, "annotations": []}
{"role": "volunteer", "content": "but it's OK cause it's your first attempt, and we're gonna, we're gonna see where we messed up. All right, man?", "session_id": 6209, "sequence_id": 166, "annotations": []}
{"role": "student", "content": "Mhm", "session_id": 6209, "sequence_id": 167, "annotations": []}
{"role": "volunteer", "content": "OK. So when you split up the two inequalities, you got 4 less than X + 1, right?", "session_id": 6209, "sequence_id": 168, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 6209, "sequence_id": 169, "annotations": []}
{"role": "volunteer", "content": "And X + 1 less than 10.", "session_id": 6209, "sequence_id": 170, "annotations": []}
{"role": "volunteer", "content": "right", "session_id": 6209, "sequence_id": 171, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 6209, "sequence_id": 172, "annotations": []}
{"role": "volunteer", "content": "Then, when you saw for the 4 less than X + 1, you should have got an X is greater than 3, cause you're supposed to subtract one.", "session_id": 6209, "sequence_id": 173, "annotations": []}
{"role": "volunteer", "content": "on both sides", "session_id": 6209, "sequence_id": 174, "annotations": []}
{"role": "student", "content": "Uh,", "session_id": 6209, "sequence_id": 175, "annotations": []}
{"role": "student", "content": "so tract instead of act.", "session_id": 6209, "sequence_id": 176, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 6209, "sequence_id": 177, "annotations": []}
{"role": "student", "content": "Well.", "session_id": 6209, "sequence_id": 178, "annotations": []}
{"role": "volunteer", "content": "because you wanna, you wanna isolate the ets.", "session_id": 6209, "sequence_id": 179, "annotations": []}
{"role": "volunteer", "content": "Yeah.", "session_id": 6209, "sequence_id": 180, "annotations": []}
{"role": "student", "content": "OK, OK", "session_id": 6209, "sequence_id": 181, "annotations": []}
{"role": "volunteer", "content": "And then for the right side, you have to subtract one again on both sides.", "session_id": 6209, "sequence_id": 182, "annotations": []}
{"role": "volunteer", "content": "You you", "session_id": 6209, "sequence_id": 183, "annotations": []}
{"role": "student", "content": "So if it's a positive, you", "session_id": 6209, "sequence_id": 184, "annotations": []}
{"role": "volunteer", "content": "try", "session_id": 6209, "sequence_id": 185, "annotations": []}
{"role": "student", "content": "you, you, you do the opposite.", "session_id": 6209, "sequence_id": 186, "annotations": []}
{"role": "volunteer", "content": "Yeah, you do the opposite operation because you wanna isolate the ets. You want to isolate the variable.", "session_id": 6209, "sequence_id": 187, "annotations": []}
{"role": "student", "content": "OK", "session_id": 6209, "sequence_id": 188, "annotations": []}
{"role": "volunteer", "content": "All right, let's do", "session_id": 6209, "sequence_id": 189, "annotations": []}
{"role": "volunteer", "content": "one more on the", "session_id": 6209, "sequence_id": 190, "annotations": []}
{"role": "volunteer", "content": "But, yeah, I'd say, I'd say other than that, I think you're, I think we're almost getting it. OK, let's do this one.", "session_id": 6209, "sequence_id": 191, "annotations": []}
{"role": "volunteer", "content": "OK, let's do that one", "session_id": 6209, "sequence_id": 192, "annotations": []}
{"role": "student", "content": "I", "session_id": 6209, "sequence_id": 193, "annotations": []}
{"role": "student", "content": "Oh, that one looks", "session_id": 6209, "sequence_id": 194, "annotations": []}
{"role": "student", "content": "OK, so I know that I have to add to both sides of the equation, but", "session_id": 6209, "sequence_id": 195, "annotations": []}
{"role": "student", "content": "what do I do after that for the 4?", "session_id": 6209, "sequence_id": 196, "annotations": []}
{"role": "volunteer", "content": "You divide by 4.", "session_id": 6209, "sequence_id": 197, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 6209, "sequence_id": 198, "annotations": []}
{"role": "volunteer", "content": "You always do the opposite operation.", "session_id": 6209, "sequence_id": 199, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 6209, "sequence_id": 200, "annotations": []}
{"role": "volunteer", "content": "So if you're multiplying by 4, you would divide by 4, and then vice versa.", "session_id": 6209, "sequence_id": 201, "annotations": []}
{"role": "student", "content": "OK", "session_id": 6209, "sequence_id": 202, "annotations": []}
{"role": "student", "content": "OK then", "session_id": 6209, "sequence_id": 203, "annotations": []}
{"role": "student", "content": "I, I can't", "session_id": 6209, "sequence_id": 204, "annotations": []}
{"role": "volunteer", "content": "OK. Um, can you just tell me your, can you just tell me your answer?", "session_id": 6209, "sequence_id": 205, "annotations": []}
{"role": "student", "content": "I got uh negative 2 less than or if", "session_id": 6209, "sequence_id": 206, "annotations": []}
{"role": "student", "content": "00 my", "session_id": 6209, "sequence_id": 207, "annotations": []}
{"role": "student", "content": "2.", "session_id": 6209, "sequence_id": 208, "annotations": []}
{"role": "student", "content": "1.5 and 1.5.", "session_id": 6209, "sequence_id": 209, "annotations": []}
{"role": "volunteer", "content": "OK, yeah, perfect", "session_id": 6209, "sequence_id": 210, "annotations": []}
{"role": "volunteer", "content": "Uh, yeah, um, I mean,", "session_id": 6209, "sequence_id": 211, "annotations": []}
{"role": "volunteer", "content": "it seems to me that you understand it really well. I mean, uh, you did it, I mean, it was just like one minor hair up, but.", "session_id": 6209, "sequence_id": 212, "annotations": []}
{"role": "volunteer", "content": "yeah, I think overall, I think you did really well in this lesson there, and yeah, I don't think you should really be nervous on algebra one.", "session_id": 6209, "sequence_id": 213, "annotations": []}
{"role": "student", "content": "Well", "session_id": 6209, "sequence_id": 214, "annotations": []}
{"role": "volunteer", "content": "and just keep it up and you're doing great. You did great at this session, so.", "session_id": 6209, "sequence_id": 215, "annotations": []}
{"role": "volunteer", "content": "give yourself a pat on the back, you do really well.", "session_id": 6209, "sequence_id": 216, "annotations": []}
{"role": "student", "content": "That's not, I kinda understand that part. Sometimes they get it mixed up, but the ones with the um negative in diffractions, they confuse me cause like", "session_id": 6209, "sequence_id": 217, "annotations": []}
{"role": "volunteer", "content": "Oh it's like this", "session_id": 6209, "sequence_id": 218, "annotations": []}
{"role": "volunteer", "content": "It's like that", "session_id": 6209, "sequence_id": 219, "annotations": []}
{"role": "volunteer", "content": "You know that", "session_id": 6209, "sequence_id": 220, "annotations": []}
{"role": "student", "content": "something, yeah, the ones with the fraction, yeah, the ones with the fractures.", "session_id": 6209, "sequence_id": 221, "annotations": []}
{"role": "volunteer", "content": "OK, so, so if you have a fracture, what you would do is multiply.", "session_id": 6209, "sequence_id": 222, "annotations": []}
{"role": "volunteer", "content": "Right", "session_id": 6209, "sequence_id": 223, "annotations": []}
{"role": "volunteer", "content": "It's the same thing with division. If you're dividing by.", "session_id": 6209, "sequence_id": 224, "annotations": []}
{"role": "student", "content": "No compound inequalities.", "session_id": 6209, "sequence_id": 225, "annotations": []}
{"role": "volunteer", "content": "you want", "session_id": 6209, "sequence_id": 226, "annotations": []}
{"role": "student", "content": "with the um fractions.", "session_id": 6209, "sequence_id": 227, "annotations": []}
{"role": "volunteer", "content": "OK, let's do one of those then.", "session_id": 6209, "sequence_id": 228, "annotations": []}
{"role": "volunteer", "content": "OK, um, I don't really need that much. I'll just.", "session_id": 6209, "sequence_id": 229, "annotations": []}
{"role": "volunteer", "content": "3.", "session_id": 6209, "sequence_id": 230, "annotations": []}
{"role": "volunteer", "content": "OK, that that's a, this is a compound in equality.", "session_id": 6209, "sequence_id": 231, "annotations": []}
{"role": "student", "content": "OK", "session_id": 6209, "sequence_id": 232, "annotations": []}
{"role": "volunteer", "content": "00, I'll work this out. So, split it up.", "session_id": 6209, "sequence_id": 233, "annotations": []}
{"role": "student", "content": "Mhm", "session_id": 6209, "sequence_id": 234, "annotations": []}
{"role": "volunteer", "content": "Then we multiply by 4 on both sides, just when you have a fraction for an et, you can just multiply. So like whatever's on the denominator, you would just do multiply, but if it was like, say if it was negative 2 at over 3, right?", "session_id": 6209, "sequence_id": 235, "annotations": []}
{"role": "student", "content": "Mm", "session_id": 6209, "sequence_id": 236, "annotations": []}
{"role": "volunteer", "content": "I would multiply by 3 halves. Multply always by the reciprocal.", "session_id": 6209, "sequence_id": 237, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 6209, "sequence_id": 238, "annotations": []}
{"role": "student", "content": "OK", "session_id": 6209, "sequence_id": 239, "annotations": []}
{"role": "volunteer", "content": "Does that make sense? Because you wanna isolate the ets.", "session_id": 6209, "sequence_id": 240, "annotations": []}
{"role": "student", "content": "OK", "session_id": 6209, "sequence_id": 241, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 6209, "sequence_id": 242, "annotations": []}
{"role": "volunteer", "content": "generally erase that.", "session_id": 6209, "sequence_id": 243, "annotations": []}
{"role": "volunteer", "content": "OK, that should be fine", "session_id": 6209, "sequence_id": 244, "annotations": []}
{"role": "volunteer", "content": "And then let's do it here.", "session_id": 6209, "sequence_id": 245, "annotations": []}
{"role": "volunteer", "content": "So now we have 12", "session_id": 6209, "sequence_id": 246, "annotations": []}
{"role": "student", "content": "Mhm", "session_id": 6209, "sequence_id": 247, "annotations": []}
{"role": "volunteer", "content": "less than or equal to negative events, right?", "session_id": 6209, "sequence_id": 248, "annotations": []}
{"role": "volunteer", "content": "But you don't like negative signs with that sis.", "session_id": 6209, "sequence_id": 249, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 6209, "sequence_id": 250, "annotations": []}
{"role": "student", "content": "Yeah.", "session_id": 6209, "sequence_id": 251, "annotations": []}
{"role": "volunteer", "content": "So what you would do is you will multiply by -1.", "session_id": 6209, "sequence_id": 252, "annotations": []}
{"role": "volunteer", "content": "on both sides", "session_id": 6209, "sequence_id": 253, "annotations": []}
{"role": "volunteer", "content": "and then you", "session_id": 6209, "sequence_id": 254, "annotations": []}
{"role": "volunteer", "content": "then you flip the inequality sign. So before, uh, wait, sorry.", "session_id": 6209, "sequence_id": 255, "annotations": []}
{"role": "volunteer", "content": "before it was 12 less than equals the negatives. Now it's", "session_id": 6209, "sequence_id": 256, "annotations": []}
{"role": "volunteer", "content": "-12", "session_id": 6209, "sequence_id": 257, "annotations": []}
{"role": "volunteer", "content": "greater than twin sets.", "session_id": 6209, "sequence_id": 258, "annotations": []}
{"role": "volunteer", "content": "Does that make sense", "session_id": 6209, "sequence_id": 259, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 6209, "sequence_id": 260, "annotations": []}
{"role": "student", "content": "No. I'm confused on that part.", "session_id": 6209, "sequence_id": 261, "annotations": []}
{"role": "student", "content": "Power of.", "session_id": 6209, "sequence_id": 262, "annotations": []}
{"role": "volunteer", "content": "OK, so what about when you multiply by negative, you slip the inequality side.", "session_id": 6209, "sequence_id": 263, "annotations": []}
{"role": "volunteer", "content": "doesn't make sense", "session_id": 6209, "sequence_id": 264, "annotations": []}
{"role": "student", "content": "Yeah.", "session_id": 6209, "sequence_id": 265, "annotations": []}
{"role": "volunteer", "content": "Yeah, what part about it doesn't make sense?", "session_id": 6209, "sequence_id": 266, "annotations": []}
{"role": "student", "content": "I just", "session_id": 6209, "sequence_id": 267, "annotations": []}
{"role": "student", "content": "uh", "session_id": 6209, "sequence_id": 268, "annotations": []}
{"role": "student", "content": "I think when you, um", "session_id": 6209, "sequence_id": 269, "annotations": []}
{"role": "student", "content": "multiply by the negative 1.", "session_id": 6209, "sequence_id": 270, "annotations": []}
{"role": "student", "content": "Whatever comes, what you said after that, it was just", "session_id": 6209, "sequence_id": 271, "annotations": []}
{"role": "student", "content": "blurring my mind.", "session_id": 6209, "sequence_id": 272, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 6209, "sequence_id": 273, "annotations": []}
{"role": "volunteer", "content": "I'm gonna write this out differently.", "session_id": 6209, "sequence_id": 274, "annotations": []}
{"role": "volunteer", "content": "Wait, can we just look at one in equality for just I just wanna look at one equality first before we move on to Alex.", "session_id": 6209, "sequence_id": 275, "annotations": [{"pii_type": "PERSON", "surrogate": "Alex", "start": 112, "end": 116}]}
{"role": "student", "content": "OK", "session_id": 6209, "sequence_id": 276, "annotations": []}
{"role": "student", "content": "Sure", "session_id": 6209, "sequence_id": 277, "annotations": []}
{"role": "student", "content": "So", "session_id": 6209, "sequence_id": 278, "annotations": []}
{"role": "volunteer", "content": "So I have less than equal to 3.", "session_id": 6209, "sequence_id": 279, "annotations": []}
{"role": "volunteer", "content": "I multiply by 4.", "session_id": 6209, "sequence_id": 280, "annotations": []}
{"role": "volunteer", "content": "Yeah, negative that's less than usual at all.", "session_id": 6209, "sequence_id": 281, "annotations": []}
{"role": "volunteer", "content": "But I don't like this negative sign with the its just negative ets just makes your inequality really weird and usually when you write it inequality simplified it out. You only have X.", "session_id": 6209, "sequence_id": 282, "annotations": []}
{"role": "student", "content": "Mhm", "session_id": 6209, "sequence_id": 283, "annotations": []}
{"role": "volunteer", "content": "So what I would do is I multiply by every one, right?", "session_id": 6209, "sequence_id": 284, "annotations": []}
{"role": "volunteer", "content": "And the reason why I put it, the reason why I put the sign.", "session_id": 6209, "sequence_id": 285, "annotations": []}
{"role": "volunteer", "content": "this", "session_id": 6209, "sequence_id": 286, "annotations": []}
{"role": "volunteer", "content": "because, OK", "session_id": 6209, "sequence_id": 287, "annotations": []}
{"role": "volunteer", "content": "How about I", "session_id": 6209, "sequence_id": 288, "annotations": []}
{"role": "volunteer", "content": "I'm gonna show this to you graphically.", "session_id": 6209, "sequence_id": 289, "annotations": []}
{"role": "volunteer", "content": "right?", "session_id": 6209, "sequence_id": 290, "annotations": []}
{"role": "volunteer", "content": "Let's say 12 is this point.", "session_id": 6209, "sequence_id": 291, "annotations": []}
{"role": "volunteer", "content": "Oh wait, I'm sorry. Let's say 12 is this and then 12 is that.", "session_id": 6209, "sequence_id": 292, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 6209, "sequence_id": 293, "annotations": []}
{"role": "student", "content": "Mhm", "session_id": 6209, "sequence_id": 294, "annotations": []}
{"role": "volunteer", "content": "Now, when I plug in positive when I plug in 12, I get 12 less than or equal to 12.", "session_id": 6209, "sequence_id": 295, "annotations": []}
{"role": "volunteer", "content": "And that's true, right?", "session_id": 6209, "sequence_id": 296, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 6209, "sequence_id": 297, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 6209, "sequence_id": 298, "annotations": []}
{"role": "student", "content": "Mm.", "session_id": 6209, "sequence_id": 299, "annotations": []}
{"role": "volunteer", "content": "But now, if I plug in, say, -13, I get negative, 13.", "session_id": 6209, "sequence_id": 300, "annotations": []}
{"role": "volunteer", "content": "Less than equal to 12, which is stating that 13 less than equal to 12, and that's not true at all.", "session_id": 6209, "sequence_id": 301, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 6209, "sequence_id": 302, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 6209, "sequence_id": 303, "annotations": []}
{"role": "volunteer", "content": "So", "session_id": 6209, "sequence_id": 304, "annotations": []}
{"role": "volunteer", "content": "this is what the solution would look like.", "session_id": 6209, "sequence_id": 305, "annotations": []}
{"role": "volunteer", "content": "This is what the solution reach would look like on the draft. My sorry, my shading's bad.", "session_id": 6209, "sequence_id": 306, "annotations": []}
{"role": "volunteer", "content": "cause it's like online, but", "session_id": 6209, "sequence_id": 307, "annotations": []}
{"role": "student", "content": "It's OK", "session_id": 6209, "sequence_id": 308, "annotations": []}
{"role": "volunteer", "content": "it just goes from here to there, some, something like that.", "session_id": 6209, "sequence_id": 309, "annotations": []}
{"role": "volunteer", "content": "OK. And that's the same as saying X is greater than 12.", "session_id": 6209, "sequence_id": 310, "annotations": []}
{"role": "volunteer", "content": "that are equal tone of 12.", "session_id": 6209, "sequence_id": 311, "annotations": []}
{"role": "volunteer", "content": "And look what we started with. We started with negative at less than or equal to 12.", "session_id": 6209, "sequence_id": 312, "annotations": []}
{"role": "volunteer", "content": "right", "session_id": 6209, "sequence_id": 313, "annotations": []}
{"role": "student", "content": "Thank you", "session_id": 6209, "sequence_id": 314, "annotations": []}
{"role": "student", "content": "Mm.", "session_id": 6209, "sequence_id": 315, "annotations": []}
{"role": "volunteer", "content": "And we start, we start with negative", "session_id": 6209, "sequence_id": 316, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 6209, "sequence_id": 317, "annotations": []}
{"role": "volunteer", "content": "we start with negative ausomyrus wall and look where we are. We have the opposite side. Now,", "session_id": 6209, "sequence_id": 318, "annotations": []}
{"role": "volunteer", "content": "and we have now have a negative 12 so a positive 12.", "session_id": 6209, "sequence_id": 319, "annotations": []}
{"role": "volunteer", "content": "Is that like filling in the gaps or no?", "session_id": 6209, "sequence_id": 320, "annotations": []}
{"role": "student", "content": "Fill in the gap", "session_id": 6209, "sequence_id": 321, "annotations": []}
{"role": "volunteer", "content": "Does, does it make sense now?", "session_id": 6209, "sequence_id": 322, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 6209, "sequence_id": 323, "annotations": []}
{"role": "volunteer", "content": "OK, perfect", "session_id": 6209, "sequence_id": 324, "annotations": []}
{"role": "student", "content": "I", "session_id": 6209, "sequence_id": 325, "annotations": []}
{"role": "volunteer", "content": "All right. This", "session_id": 6209, "sequence_id": 326, "annotations": []}
{"role": "volunteer", "content": "I'll give you a new practice role. So if I have negative 2X3.", "session_id": 6209, "sequence_id": 327, "annotations": []}
{"role": "volunteer", "content": "+9", "session_id": 6209, "sequence_id": 328, "annotations": []}
{"role": "volunteer", "content": "total 20", "session_id": 6209, "sequence_id": 329, "annotations": []}
{"role": "volunteer", "content": "be dual Math 20", "session_id": 6209, "sequence_id": 330, "annotations": [{"pii_type": "COURSE", "surrogate": "Math 20", "start": 8, "end": 15}]}
{"role": "student", "content": "I", "session_id": 6209, "sequence_id": 331, "annotations": []}
{"role": "student", "content": "I", "session_id": 6209, "sequence_id": 332, "annotations": []}
{"role": "volunteer", "content": "All right, do that prom", "session_id": 6209, "sequence_id": 333, "annotations": []}
{"role": "volunteer", "content": "and let you know your stuff", "session_id": 6209, "sequence_id": 334, "annotations": []}
{"role": "student", "content": "OK", "session_id": 6209, "sequence_id": 335, "annotations": []}
{"role": "volunteer", "content": "Sorry, I should have eased into an easier one. That's my fault.", "session_id": 6209, "sequence_id": 336, "annotations": []}
{"role": "volunteer", "content": "This", "session_id": 6209, "sequence_id": 337, "annotations": []}
{"role": "student", "content": "No, it's OK. I can try, I can try this one.", "session_id": 6209, "sequence_id": 338, "annotations": []}
{"role": "volunteer", "content": "OK, you should get like decently weird answers to heads up.", "session_id": 6209, "sequence_id": 339, "annotations": []}
{"role": "student", "content": "Yeah, definitely.", "session_id": 6209, "sequence_id": 340, "annotations": []}
{"role": "student", "content": "OK. I think I'm done.", "session_id": 6209, "sequence_id": 341, "annotations": []}
{"role": "volunteer", "content": "Alex, tell me the answer.", "session_id": 6209, "sequence_id": 342, "annotations": [{"pii_type": "PERSON", "surrogate": "Alex", "start": 0, "end": 4}]}
{"role": "student", "content": "4.5 less than equal to x, less than or equal to 16.5.", "session_id": 6209, "sequence_id": 343, "annotations": []}
{"role": "volunteer", "content": "Mm, you forgot the negative sign.", "session_id": 6209, "sequence_id": 344, "annotations": []}
{"role": "student", "content": "Oh.", "session_id": 6209, "sequence_id": 345, "annotations": []}
{"role": "volunteer", "content": "But other than that, you're right", "session_id": 6209, "sequence_id": 346, "annotations": []}
{"role": "student", "content": "uh", "session_id": 6209, "sequence_id": 347, "annotations": []}
{"role": "volunteer", "content": "So this is where your answer should look like.", "session_id": 6209, "sequence_id": 348, "annotations": []}
{"role": "volunteer", "content": "So", "session_id": 6209, "sequence_id": 349, "annotations": []}
{"role": "volunteer", "content": "but yeah.", "session_id": 6209, "sequence_id": 350, "annotations": []}
{"role": "volunteer", "content": "Are you reading that now", "session_id": 6209, "sequence_id": 351, "annotations": []}
{"role": "student", "content": "I", "session_id": 6209, "sequence_id": 352, "annotations": []}
{"role": "student", "content": "I", "session_id": 6209, "sequence_id": 353, "annotations": []}
{"role": "volunteer", "content": "Did you get this answer now?", "session_id": 6209, "sequence_id": 354, "annotations": []}
{"role": "student", "content": "I", "session_id": 6209, "sequence_id": 355, "annotations": []}
{"role": "student", "content": "Oh I see. OK.", "session_id": 6209, "sequence_id": 356, "annotations": []}
{"role": "student", "content": "Uh", "session_id": 6209, "sequence_id": 357, "annotations": []}
{"role": "student", "content": "Uh", "session_id": 6209, "sequence_id": 358, "annotations": []}
{"role": "student", "content": "No, I think I must have did something wrong.", "session_id": 6209, "sequence_id": 359, "annotations": []}
{"role": "volunteer", "content": "No, you haven't done like anything. It was just a neg sign.", "session_id": 6209, "sequence_id": 360, "annotations": []}
{"role": "volunteer", "content": "because this is the answer that you told me.", "session_id": 6209, "sequence_id": 361, "annotations": []}
{"role": "volunteer", "content": "like,", "session_id": 6209, "sequence_id": 362, "annotations": []}
{"role": "volunteer", "content": "this", "session_id": 6209, "sequence_id": 363, "annotations": []}
{"role": "volunteer", "content": "right", "session_id": 6209, "sequence_id": 364, "annotations": []}
{"role": "volunteer", "content": "That's the answer you got originally.", "session_id": 6209, "sequence_id": 365, "annotations": []}
{"role": "volunteer", "content": "Yes", "session_id": 6209, "sequence_id": 366, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 6209, "sequence_id": 367, "annotations": []}
{"role": "volunteer", "content": "Yeah. This would be true for negatives.", "session_id": 6209, "sequence_id": 368, "annotations": []}
{"role": "volunteer", "content": "And what do we say about Ninja vets?", "session_id": 6209, "sequence_id": 369, "annotations": []}
{"role": "volunteer", "content": "We've", "session_id": 6209, "sequence_id": 370, "annotations": []}
{"role": "student", "content": "We'd have to", "session_id": 6209, "sequence_id": 371, "annotations": []}
{"role": "volunteer", "content": "flipped the inequality sign.", "session_id": 6209, "sequence_id": 372, "annotations": []}
{"role": "student", "content": "yeah.", "session_id": 6209, "sequence_id": 373, "annotations": []}
{"role": "volunteer", "content": "and then put the negative signs on here.", "session_id": 6209, "sequence_id": 374, "annotations": []}
{"role": "volunteer", "content": "So now this is what it should look like.", "session_id": 6209, "sequence_id": 375, "annotations": []}
{"role": "volunteer", "content": "Right", "session_id": 6209, "sequence_id": 376, "annotations": []}
{"role": "student", "content": "Oh, I got it now. Yeah. Thanks.", "session_id": 6209, "sequence_id": 377, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 6209, "sequence_id": 378, "annotations": []}
{"role": "volunteer", "content": "All right. You wanna do one more practice or?", "session_id": 6209, "sequence_id": 379, "annotations": []}
{"role": "student", "content": "One more.", "session_id": 6209, "sequence_id": 380, "annotations": []}
{"role": "volunteer", "content": "Sure.", "session_id": 6209, "sequence_id": 381, "annotations": []}
{"role": "volunteer", "content": "So", "session_id": 6209, "sequence_id": 382, "annotations": []}
{"role": "student", "content": "What.", "session_id": 6209, "sequence_id": 383, "annotations": []}
{"role": "volunteer", "content": "There you go", "session_id": 6209, "sequence_id": 384, "annotations": []}
{"role": "volunteer", "content": "All right, mate, let me know once you're done with this one and then write out your answer in this form.", "session_id": 6209, "sequence_id": 385, "annotations": []}
{"role": "volunteer", "content": "So right ear two value here.", "session_id": 6209, "sequence_id": 386, "annotations": []}
{"role": "volunteer", "content": "So that work", "session_id": 6209, "sequence_id": 387, "annotations": []}
{"role": "volunteer", "content": "me", "session_id": 6209, "sequence_id": 388, "annotations": []}
{"role": "volunteer", "content": "This is the practice problem. Let me know once you're done with this, and then we'll go over it. Does that work? Right in here.", "session_id": 6209, "sequence_id": 389, "annotations": []}
{"role": "student", "content": "OK", "session_id": 6209, "sequence_id": 390, "annotations": []}
{"role": "volunteer", "content": "Mm.", "session_id": 6209, "sequence_id": 391, "annotations": []}
{"role": "student", "content": "So that, that's what I got.", "session_id": 6209, "sequence_id": 392, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 6209, "sequence_id": 393, "annotations": []}
{"role": "volunteer", "content": "You have to remember the negative sign there.", "session_id": 6209, "sequence_id": 394, "annotations": []}
{"role": "volunteer", "content": "So this answer works again for negatives.", "session_id": 6209, "sequence_id": 395, "annotations": []}
{"role": "volunteer", "content": "right", "session_id": 6209, "sequence_id": 396, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 6209, "sequence_id": 397, "annotations": []}
{"role": "volunteer", "content": "So,", "session_id": 6209, "sequence_id": 398, "annotations": []}
{"role": "volunteer", "content": "I", "session_id": 6209, "sequence_id": 399, "annotations": []}
{"role": "volunteer", "content": "feel like what you're doing is you're forgetting about this negative sign or you just don't want to deal with it. Am I right?", "session_id": 6209, "sequence_id": 400, "annotations": []}
{"role": "student", "content": "No, I got it, but since the air was pointing to the left. I thought I maybe I was wrong cause originally", "session_id": 6209, "sequence_id": 401, "annotations": []}
{"role": "volunteer", "content": "OK, wait, what was, what, what was your original answer?", "session_id": 6209, "sequence_id": 402, "annotations": []}
{"role": "student", "content": "uh", "session_id": 6209, "sequence_id": 403, "annotations": []}
{"role": "volunteer", "content": "Just say it", "session_id": 6209, "sequence_id": 404, "annotations": []}
{"role": "student", "content": "8", "session_id": 6209, "sequence_id": 405, "annotations": []}
{"role": "student", "content": "graded in or equal to x, graded and or equal to -16.", "session_id": 6209, "sequence_id": 406, "annotations": []}
{"role": "student", "content": "Oh", "session_id": 6209, "sequence_id": 407, "annotations": []}
{"role": "volunteer", "content": "Yeah, that's right. OK. You didn't change my arrows, like, I wanted you to write it in", "session_id": 6209, "sequence_id": 408, "annotations": []}
{"role": "volunteer", "content": "yeah, I wanted you to write it in this form.", "session_id": 6209, "sequence_id": 409, "annotations": []}
{"role": "volunteer", "content": "But", "session_id": 6209, "sequence_id": 410, "annotations": []}
{"role": "volunteer", "content": "that's the form I wanted you to write it in, cause usually put the smaller number on the left, bigger number on the right, but your way was also right", "session_id": 6209, "sequence_id": 411, "annotations": []}
{"role": "student", "content": "OK", "session_id": 6209, "sequence_id": 412, "annotations": []}
{"role": "volunteer", "content": "So yeah, that's my bet, but yeah, I see you've uh I say you got fractions", "session_id": 6209, "sequence_id": 413, "annotations": []}
{"role": "volunteer", "content": "based on boundary qualities and what to do with the negative sign.", "session_id": 6209, "sequence_id": 414, "annotations": []}
{"role": "volunteer", "content": "Is that all you had", "session_id": 6209, "sequence_id": 415, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 6209, "sequence_id": 416, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 6209, "sequence_id": 417, "annotations": []}
{"role": "volunteer", "content": "Perfect. Um,", "session_id": 6209, "sequence_id": 418, "annotations": []}
{"role": "volunteer", "content": "yeah, if you want, you can do like, uh there's extra rat there the link I sent you has some extra practice you want over it, and", "session_id": 6209, "sequence_id": 419, "annotations": []}
{"role": "volunteer", "content": "in case you're worried about negatives, I would say just add a negative to the coefficient of the practice problems that I sent you earlier, and you should be good.", "session_id": 6209, "sequence_id": 420, "annotations": []}
{"role": "student", "content": "OK, thanks", "session_id": 6209, "sequence_id": 421, "annotations": []}
{"role": "volunteer", "content": "Yeah, no problem. Um, that's", "session_id": 6209, "sequence_id": 422, "annotations": []}
{"role": "volunteer", "content": "so just checking. Well, no more questions, right?", "session_id": 6209, "sequence_id": 423, "annotations": []}
{"role": "student", "content": "OK", "session_id": 6209, "sequence_id": 424, "annotations": []}
{"role": "volunteer", "content": "All right. See you", "session_id": 6209, "sequence_id": 425, "annotations": []}
{"role": "student", "content": "Mhm.", "session_id": 6209, "sequence_id": 426, "annotations": []}
{"role": "student", "content": "Hello", "session_id": 6321, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "Hi!", "session_id": 6321, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "How're you!", "session_id": 6321, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "Good", "session_id": 6321, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "That's great, what do you need help on?", "session_id": 6321, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "Is this correct?", "session_id": 6321, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "Let me see", "session_id": 6321, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "Hang on just a moment please", "session_id": 6321, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "ok", "session_id": 6321, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "Yes, it should be correct, nice job!", "session_id": 6321, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "Honestly, I've been working on this and this problem that I was doing I was doign with my last coach and he left but I feel a lot more confident with Conic Sections.", "session_id": 6321, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "I'm sorry to leave after just one problem but I think I'm doing now with hyperbolsa and stuff", "session_id": 6321, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "I'm sorry:(", "session_id": 6321, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "That's alright", "session_id": 6321, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "Have a nice night", "session_id": 6321, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "and good luck!", "session_id": 6321, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "Thank you", "session_id": 6321, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "The questions shows a graph and it asks me to write the equation of the rational function in FACTORED FORM", "session_id": 6317, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "Those questions are tough, let's do this!", "session_id": 6317, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "I am trying to upload a picture for you to see", "session_id": 6317, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "Alright", "session_id": 6317, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "So, what do you think the first step should be when you're coming at this problem?", "session_id": 6317, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "identify the 2 vertical asymptotes", "session_id": 6317, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "Bingo!", "session_id": 6317, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "x=-1 and x=2", "session_id": 6317, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "Yep! So that means what about the rational function?", "session_id": 6317, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "so the demoniator is (x+1)(x-2)", "session_id": 6317, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "Right on!", "session_id": 6317, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "this is where im stuck for the x-intercepts", "session_id": 6317, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "Well, let's think back to our polynomials. Can you tell me how the factored form related to the roots?", "session_id": 6317, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "im not sure", "session_id": 6317, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "maybe you can help me step by step becuase I am really lost", "session_id": 6317, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "Ok, so basically, each factor in the polynomial will indicate an x intercept.", "session_id": 6317, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "For example: In the polynomial (x-a)(x-b), it will have x-intercepts at x=a and x=b", "session_id": 6317, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "Is that making sense so far?", "session_id": 6317, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "a little", "session_id": 6317, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "is the graph helping?", "session_id": 6317, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "yes", "session_id": 6317, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "So, keeping that in mind, no matter how many factors you add like (x-a)(x-b)(x-c)..., the polynomial will always have roots at a, b, c, ...", "session_id": 6317, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "One more concept we will have to draw from polynomials is the multiplicities of the roots.", "session_id": 6317, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "In our first equation, both factors have a multiplicity of 1, and this is shown in their behavior as they cross the x axis.", "session_id": 6317, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "Actually, before we move on to that, make a list of the roots we can see on the rational function graph.", "session_id": 6317, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "is it -2", "session_id": 6317, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "Yep, one of them is at x=-2", "session_id": 6317, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "and 1?", "session_id": 6317, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "Yep!", "session_id": 6317, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "There's one more", "session_id": 6317, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "3", "session_id": 6317, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "Yep!", "session_id": 6317, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "Now, to go back to multiplicity, differing multiplicities of the factors affect how the function behaves as it crosses the x axis", "session_id": 6317, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "f(x)=A(x+1)(x\u22122)over(x+2)(x\u22121)(x\u22123)\u200b", "session_id": 6317, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "Close! If I plug in x=-1 into that equation, it outputs 0. However, it should not be defined at x=-1", "session_id": 6317, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "x-1 squared?", "session_id": 6317, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "Not quite; you said earlier that the vertical asymptotes should be in the denominator, but that's not how that equation is currently written", "session_id": 6317, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "f(x)= numerator: (x+2)(x\u22121)(x\u22123)squared denominator: (x+1)(x-2)", "session_id": 6317, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "Now the denominator is fully correct! However, we still need to consider multiplicity in the numerator", "session_id": 6317, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "it bounces right", "session_id": 6317, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "Yep, it bounces at x=3", "session_id": 6317, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "which is even multiplcity", "session_id": 6317, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "Right", "session_id": 6317, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "so you square the x-3", "session_id": 6317, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "Yep! You got it!", "session_id": 6317, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "and the x+2 and x-1 stay", "session_id": 6317, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "Yes, that's right.", "session_id": 6317, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "omg 4 hours later", "session_id": 6317, "sequence_id": 47, "annotations": []}
{"role": "student", "content": "thank you so much", "session_id": 6317, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "Of course! There's still one more thing", "session_id": 6317, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "though", "session_id": 6317, "sequence_id": 50, "annotations": []}
{"role": "student", "content": "what is that", "session_id": 6317, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "We have f(x) = A((x+2)(x-1)(x-3)^2)/((x+1)((x-2)), but we still need to solve for that coefficient A", "session_id": 6317, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "The method for doing this is to take a point given on the graph, plug in y as f(x) and plug in x for all the x's, then to solve for A algebraically.", "session_id": 6317, "sequence_id": 53, "annotations": []}
{"role": "student", "content": "and that is any point?", "session_id": 6317, "sequence_id": 54, "annotations": []}
{"role": "student", "content": "or one that is touching", "session_id": 6317, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "Any point that the graph goes through", "session_id": 6317, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "I like to use the y intercept because I find it the easiest to work with, but I don't see it on the image.", "session_id": 6317, "sequence_id": 57, "annotations": []}
{"role": "student", "content": "so 1,0", "session_id": 6317, "sequence_id": 58, "annotations": []}
{"role": "student", "content": "oh ok so 0,-6", "session_id": 6317, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "Are you sure (0,-6) is on the graph? From what I see, it looks like the y intercept should be positive", "session_id": 6317, "sequence_id": 60, "annotations": []}
{"role": "student", "content": "0,6", "session_id": 6317, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "Ok, makes sense", "session_id": 6317, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "So plug that in and solve for A, then let me know what you get.", "session_id": 6317, "sequence_id": 63, "annotations": []}
{"role": "student", "content": "2/3X....", "session_id": 6317, "sequence_id": 64, "annotations": []}
{"role": "student", "content": "so f(x)=2/3 x ((x+2)(x-1)(x-3)^2)/((x+1)((x-2))", "session_id": 6317, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "solving 6=A(2*-1*(-3)^2)/(1*-2) you get 6=A(-18)/(-2) so 6=9A and A = 6/9 or 2/3", "session_id": 6317, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "All good!", "session_id": 6317, "sequence_id": 67, "annotations": []}
{"role": "student", "content": "thank you have a good night", "session_id": 6317, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "You too!", "session_id": 6317, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "Howdy !", "session_id": 6357, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "Hello", "session_id": 6357, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "So how's your math class going?", "session_id": 6357, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "Its stressful", "session_id": 6357, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "Yeah, right!", "session_id": 6357, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "Got something you wanna work on?", "session_id": 6357, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "Tangent lines and linear approximations", "session_id": 6357, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "Do you have a sample problem that you can post?", "session_id": 6357, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "yes", "session_id": 6357, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "So you have the function f(x) given", "session_id": 6357, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "So let's try to draw that a sec just to get an idea of what this question is asking for...", "session_id": 6357, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "So sorry for all that graphing, but this is what that function looks like (starting with the parent function of sin(x))", "session_id": 6357, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "Okay so far?", "session_id": 6357, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 6357, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "So these graphs show a whole period, from 0 to 2Pi.", "session_id": 6357, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "We are interested in the interval [0, Pi]", "session_id": 6357, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "So let's find the graph of that tangent line shown in black.", "session_id": 6357, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "Then we plug in 1.5 for x and see what the y value would be.", "session_id": 6357, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "And we can find the equation of that line by evaluating the first derivative at Pi/2 and then using the point.", "session_id": 6357, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "And note that Pi/2 = 1.57 so evaluating the line at 1.50 won't be far off.", "session_id": 6357, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "So first, let's find the point that our tangent line will pass thru.", "session_id": 6357, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "Okay so far?", "session_id": 6357, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "yes", "session_id": 6357, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "So there's our point.", "session_id": 6357, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "Now let's take the first derivative and evaluate that at Pi/2.", "session_id": 6357, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "Okay with that derivative?", "session_id": 6357, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "yes", "session_id": 6357, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "So now we have the slope.", "session_id": 6357, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "So there's our line.", "session_id": 6357, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "Okay with that?", "session_id": 6357, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "yes give me one moment please", "session_id": 6357, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": ":-)", "session_id": 6357, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "okay got it!", "session_id": 6357, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "Okay, so now we're trying to evaluate that line at x = 1.5 (instead of Pi/2 which is pretty close).", "session_id": 6357, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "So we insert 1.5 for x and solve for y.", "session_id": 6357, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "So it's answer D", "session_id": 6357, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "do you think you could go over the problem in steps? for example: first you solve for F(pi/2)", "session_id": 6357, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "Yep.", "session_id": 6357, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "First step is to find the point which I did at top of screen.", "session_id": 6357, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "I'll highlight with green pencil.", "session_id": 6357, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "So there, I just plugged in Pi/2 for x.", "session_id": 6357, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "And got f(x) or y = 1", "session_id": 6357, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "So our point is (Pi/2, 1)", "session_id": 6357, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "Let me know when you're good with that, and then we can find the point (to plug into the point-slope format of a line).", "session_id": 6357, "sequence_id": 43, "annotations": []}
{"role": "student", "content": "I'm good with that!", "session_id": 6357, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "Sorry - I meant to say let's find the slope next.", "session_id": 6357, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "So slope of this curve is evaluated with the first derivative.", "session_id": 6357, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "Which I found to = -2 sin(x)", "session_id": 6357, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "And to find the excact slope of the tangent there, we just plug in Pi/2", "session_id": 6357, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "So now we have point and slope, so we plug that into the point-slope format for a line.", "session_id": 6357, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "Then I just did some simple algebra to simplify and get the final equation in the blue box.", "session_id": 6357, "sequence_id": 50, "annotations": []}
{"role": "student", "content": "got it!", "session_id": 6357, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": ":-)", "session_id": 6357, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "And finally, we evaluate that line at x = 1.5", "session_id": 6357, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "Just plug it in and solve for y and we're DUN.", "session_id": 6357, "sequence_id": 54, "annotations": []}
{"role": "student", "content": "It makes a lot more sense now! thank you so much for your time.", "session_id": 6357, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "Great - best of luck to you !!!", "session_id": 6357, "sequence_id": 56, "annotations": []}
{"role": "student", "content": "thank you!!", "session_id": 6357, "sequence_id": 57, "annotations": []}
{"role": "student", "content": "Hi! I was wondering if you could help me and let me know if I\u2019m solving these problems correctly. It\u2019s a review for an upcoming test. There\u2019s an answer key at the bottom\u2014I won\u2019t look at it lol, but it\u2019ll help you check if I\u2019m on the right track. I am currently on objective 22, #2a, I need a bit help solving that one and the others. Here\u2019s the link to the PDF: https://www.example.com/math_problems.pdf", "session_id": 6393, "sequence_id": 0, "annotations": [{"pii_type": "URL", "surrogate": "https://www.example.com/math_problems.pdf", "start": 362, "end": 403}]}
{"role": "volunteer", "content": "Hello how is it going", "session_id": 6393, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "Sure!", "session_id": 6393, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "Thanks!", "session_id": 6393, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "Should we start with objective 22, #2a then?", "session_id": 6393, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "I meant to say 2c", "session_id": 6393, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "alright", "session_id": 6393, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "Okay, let me write the function and question for 2c on the board", "session_id": 6393, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "One sec", "session_id": 6393, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "Alright", "session_id": 6393, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "What is the first step, any ideas?", "session_id": 6393, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "thats what i'm stuck on all i know is y is 0", "session_id": 6393, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "Indeed it is", "session_id": 6393, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "g(x) = 0", "session_id": 6393, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "We just have to solve for x from there", "session_id": 6393, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "k", "session_id": 6393, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "Sorry I'm writing with text on the board b/c i dont have a mouse :(", "session_id": 6393, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "-2|x-1| + 4 = 0", "session_id": 6393, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "What's the first step for solving for x?", "session_id": 6393, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "We want x by itself", "session_id": 6393, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "oh i see", "session_id": 6393, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "kk", "session_id": 6393, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "We subtract 4 from both sides first", "session_id": 6393, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "kk", "session_id": 6393, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "now what", "session_id": 6393, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "We need to divide both sides by -2 now", "session_id": 6393, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "wait", "session_id": 6393, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "i did -2-4", "session_id": 6393, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "?", "session_id": 6393, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "=-6", "session_id": 6393, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "thats hw i solved it", "session_id": 6393, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "But, you already subtracted 4 from the left hand side", "session_id": 6393, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "You don't do it twice", "session_id": 6393, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "Because remember", "session_id": 6393, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "s how can i divide it by 2 if its gone", "session_id": 6393, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "-2|x-1| + 4 is its own seperate side", "session_id": 6393, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "You divide by -2 to cancel out the coefficient of -2", "session_id": 6393, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "When you divide it", "session_id": 6393, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "k", "session_id": 6393, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "can u show all of this", "session_id": 6393, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "You get |x-1| = 2", "session_id": 6393, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "cause im confused", "session_id": 6393, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "I am on the board", "session_id": 6393, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "Are you able to see it?", "session_id": 6393, "sequence_id": 43, "annotations": []}
{"role": "student", "content": "you typed it", "session_id": 6393, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "i need to actually see it", "session_id": 6393, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "written", "session_id": 6393, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "I already said I couldn't do that", "session_id": 6393, "sequence_id": 47, "annotations": []}
{"role": "student", "content": "oh", "session_id": 6393, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "I don't have a mouse", "session_id": 6393, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "Yeah...", "session_id": 6393, "sequence_id": 50, "annotations": []}
{"role": "student", "content": "oh", "session_id": 6393, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "Sorry", "session_id": 6393, "sequence_id": 52, "annotations": []}
{"role": "student", "content": "Hello, how are you?", "session_id": 6346, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "Good", "session_id": 6346, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "How about you?", "session_id": 6346, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "I'm doing well", "session_id": 6346, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "Working on conic sections", "session_id": 6346, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "Alright sounds good", "session_id": 6346, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "nic", "session_id": 6346, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "Nice", "session_id": 6346, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "These questions are so long", "session_id": 6346, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "Yes they are", "session_id": 6346, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "Let me know if you need help with them :)", "session_id": 6346, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "is this right?", "session_id": 6346, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "let me check", "session_id": 6346, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "aren't the foci su[pposed to ber inside", "session_id": 6346, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "the", "session_id": 6346, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "ellipse", "session_id": 6346, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 6346, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "oh i see", "session_id": 6346, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "i did this completly wrong", "session_id": 6346, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "the vertices are supposed to be", "session_id": 6346, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "on the y", "session_id": 6346, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "and the co vertice is on the x", "session_id": 6346, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "cause a^2 = 25", "session_id": 6346, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "bcs its bigger", "session_id": 6346, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "Sorry, I have to go now. Please ask another coach for assistance.", "session_id": 6346, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "oh okay", "session_id": 6346, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "Thank you", "session_id": 6346, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "Hi", "session_id": 6411, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "Hello", "session_id": 6411, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "How can I help you today?", "session_id": 6411, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "I need help with powers of numbers with rational exponents", "session_id": 6411, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "Are you able to use voice? because I understand better with voice", "session_id": 6411, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "sure", "session_id": 6411, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "Hello", "session_id": 6411, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "Hi", "session_id": 6411, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "Hi", "session_id": 6411, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "Hi", "session_id": 6411, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "Um, I uploaded the image.", "session_id": 6411, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "so", "session_id": 6411, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 6411, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "Um, let me take a look at it first, OK?", "session_id": 6411, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "OK", "session_id": 6411, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "so tell me how i can help", "session_id": 6411, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "Explaining in a fun way", "session_id": 6411, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "So I can understand and solve", "session_id": 6411, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "Hello", "session_id": 6411, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "Are you there", "session_id": 6411, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "Yes", "session_id": 6411, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "so lets get started", "session_id": 6411, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "Can you open your mic", "session_id": 6411, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "Hi", "session_id": 6411, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "OK", "session_id": 6411, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "Yeah. So,", "session_id": 6411, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "when you say um that you want me to explain it in a fun way, um.", "session_id": 6411, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "What do you mean, um?", "session_id": 6411, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "So like", "session_id": 6411, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "so I can understand.", "session_id": 6411, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "OK. Uh, let's see if we can do that.", "session_id": 6411, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "So", "session_id": 6411, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "we're working with um", "session_id": 6411, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "power of the power, right?", "session_id": 6411, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "Yeah.", "session_id": 6411, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "OK. So", "session_id": 6411, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "first, let's see if you know this, um.", "session_id": 6411, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "let's see if we have 2.", "session_id": 6411, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "x 2. How do you write it with uh as a power.", "session_id": 6411, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "due to the power of 2.", "session_id": 6411, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "right", "session_id": 6411, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "OK. So, um,", "session_id": 6411, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "let me see", "session_id": 6411, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "So when you like multiply, um.", "session_id": 6411, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "8 times, 8 times, A, that would be like 3, right?", "session_id": 6411, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "Yeah.", "session_id": 6411, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "OK.", "session_id": 6411, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "So when you like now let's talk about this one, so.", "session_id": 6411, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "when you have", "session_id": 6411, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "let's say a square.", "session_id": 6411, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "and then", "session_id": 6411, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "we raise it", "session_id": 6411, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "to um 3. The power is, um, 3.", "session_id": 6411, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "on top, um.", "session_id": 6411, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "what happens", "session_id": 6411, "sequence_id": 54, "annotations": []}
{"role": "student", "content": "you multiply", "session_id": 6411, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "You multiply 2 times, right?", "session_id": 6411, "sequence_id": 56, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 6411, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 6411, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "So then what happens", "session_id": 6411, "sequence_id": 59, "annotations": []}
{"role": "student", "content": "A to the power of 8.", "session_id": 6411, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "8", "session_id": 6411, "sequence_id": 61, "annotations": []}
{"role": "student", "content": "Hm", "session_id": 6411, "sequence_id": 62, "annotations": []}
{"role": "student", "content": "6", "session_id": 6411, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "Yeah, so what happens, we're gonna just add those two.", "session_id": 6411, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "here", "session_id": 6411, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 6411, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "So 2 like 2 + 2 + 2 is 6, right?", "session_id": 6411, "sequence_id": 67, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 6411, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "Yeah, so that's how it works. Now, let's work with the other number like other expressions. Let's see go a little bit harder.", "session_id": 6411, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "Now, why this happens is just look at this one. Here we have.", "session_id": 6411, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "8 times 8 times A. We can say we have a power, one on top of them, right? And we don't really write it because it's just redundant.", "session_id": 6411, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "so what we do is just when we multiply 3 numbers like multiply 3 A's. So what happens, we're gonna", "session_id": 6411, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "we actually add one plus one plus one.", "session_id": 6411, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 6411, "sequence_id": 74, "annotations": []}
{"role": "volunteer", "content": "So that actually gives us 80 power, um, 3.", "session_id": 6411, "sequence_id": 75, "annotations": []}
{"role": "student", "content": "Mm.", "session_id": 6411, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "So let's say we do the same thing. Let's so we have.", "session_id": 6411, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "um", "session_id": 6411, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "let's do 3 square times", "session_id": 6411, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "um", "session_id": 6411, "sequence_id": 80, "annotations": []}
{"role": "volunteer", "content": "3", "session_id": 6411, "sequence_id": 81, "annotations": []}
{"role": "volunteer", "content": "square, but it's gonna be.", "session_id": 6411, "sequence_id": 82, "annotations": []}
{"role": "volunteer", "content": "that", "session_id": 6411, "sequence_id": 83, "annotations": []}
{"role": "student", "content": "Um", "session_id": 6411, "sequence_id": 84, "annotations": []}
{"role": "volunteer", "content": "3 square and 3 square.", "session_id": 6411, "sequence_id": 85, "annotations": []}
{"role": "student", "content": "4", "session_id": 6411, "sequence_id": 86, "annotations": []}
{"role": "volunteer", "content": "34, right?", "session_id": 6411, "sequence_id": 87, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 6411, "sequence_id": 88, "annotations": []}
{"role": "volunteer", "content": "OK, so", "session_id": 6411, "sequence_id": 89, "annotations": []}
{"role": "volunteer", "content": "let's see how we can derive the formula now.", "session_id": 6411, "sequence_id": 90, "annotations": []}
{"role": "volunteer", "content": "so we can use it", "session_id": 6411, "sequence_id": 91, "annotations": []}
{"role": "volunteer", "content": "Um, let's do another example. We can, uh, do this one to deeper 3.", "session_id": 6411, "sequence_id": 92, "annotations": []}
{"role": "volunteer", "content": "4. It's a little hard.", "session_id": 6411, "sequence_id": 93, "annotations": []}
{"role": "volunteer", "content": "How would you do it", "session_id": 6411, "sequence_id": 94, "annotations": []}
{"role": "student", "content": "negative 12.", "session_id": 6411, "sequence_id": 95, "annotations": []}
{"role": "volunteer", "content": "12 right", "session_id": 6411, "sequence_id": 96, "annotations": []}
{"role": "volunteer", "content": "You're saying this", "session_id": 6411, "sequence_id": 97, "annotations": []}
{"role": "student", "content": "negative", "session_id": 6411, "sequence_id": 98, "annotations": []}
{"role": "volunteer", "content": "Yeah, negative toll. How did", "session_id": 6411, "sequence_id": 99, "annotations": []}
{"role": "volunteer", "content": "you get there", "session_id": 6411, "sequence_id": 100, "annotations": []}
{"role": "student", "content": "multiply", "session_id": 6411, "sequence_id": 101, "annotations": []}
{"role": "student", "content": "the", "session_id": 6411, "sequence_id": 102, "annotations": []}
{"role": "volunteer", "content": "Must possible", "session_id": 6411, "sequence_id": 103, "annotations": []}
{"role": "volunteer", "content": "So you multiplied 3 times -4, right?", "session_id": 6411, "sequence_id": 104, "annotations": []}
{"role": "student", "content": "yep", "session_id": 6411, "sequence_id": 105, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 6411, "sequence_id": 106, "annotations": []}
{"role": "volunteer", "content": "So now let's talk about if we have", "session_id": 6411, "sequence_id": 107, "annotations": []}
{"role": "volunteer", "content": "this", "session_id": 6411, "sequence_id": 108, "annotations": []}
{"role": "volunteer", "content": "would it be", "session_id": 6411, "sequence_id": 109, "annotations": []}
{"role": "student", "content": "82 3", "session_id": 6411, "sequence_id": 110, "annotations": []}
{"role": "volunteer", "content": "23", "session_id": 6411, "sequence_id": 111, "annotations": []}
{"role": "volunteer", "content": "M, right", "session_id": 6411, "sequence_id": 112, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 6411, "sequence_id": 113, "annotations": []}
{"role": "volunteer", "content": "OK.", "session_id": 6411, "sequence_id": 114, "annotations": []}
{"role": "student", "content": "Could you solve the examples?", "session_id": 6411, "sequence_id": 115, "annotations": []}
{"role": "volunteer", "content": "Examples.", "session_id": 6411, "sequence_id": 116, "annotations": []}
{"role": "student", "content": "Yeah, the one on I sent the board.", "session_id": 6411, "sequence_id": 117, "annotations": []}
{"role": "volunteer", "content": "Yeah, sure. We can do that.", "session_id": 6411, "sequence_id": 118, "annotations": []}
{"role": "volunteer", "content": "Mm", "session_id": 6411, "sequence_id": 119, "annotations": []}
{"role": "volunteer", "content": "Let's look at the", "session_id": 6411, "sequence_id": 120, "annotations": []}
{"role": "volunteer", "content": "example one, they said like simplified and expressed the answer using positive powers only?", "session_id": 6411, "sequence_id": 121, "annotations": []}
{"role": "volunteer", "content": "This one?", "session_id": 6411, "sequence_id": 122, "annotations": []}
{"role": "student", "content": "Yeah.", "session_id": 6411, "sequence_id": 123, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 6411, "sequence_id": 124, "annotations": []}
{"role": "volunteer", "content": "So we have", "session_id": 6411, "sequence_id": 125, "annotations": []}
{"role": "volunteer", "content": "just write it here", "session_id": 6411, "sequence_id": 126, "annotations": []}
{"role": "volunteer", "content": "The first one is", "session_id": 6411, "sequence_id": 127, "annotations": []}
{"role": "volunteer", "content": "3 square.", "session_id": 6411, "sequence_id": 128, "annotations": []}
{"role": "volunteer", "content": "and over cube, right?", "session_id": 6411, "sequence_id": 129, "annotations": []}
{"role": "volunteer", "content": "This one?", "session_id": 6411, "sequence_id": 130, "annotations": []}
{"role": "volunteer", "content": "Did you hide it", "session_id": 6411, "sequence_id": 131, "annotations": []}
{"role": "volunteer", "content": "I, I think this is the one.", "session_id": 6411, "sequence_id": 132, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 6411, "sequence_id": 133, "annotations": []}
{"role": "volunteer", "content": "So", "session_id": 6411, "sequence_id": 134, "annotations": []}
{"role": "volunteer", "content": "so we're gonna multiply 2 times 3, right?", "session_id": 6411, "sequence_id": 135, "annotations": []}
{"role": "student", "content": "Yeah.", "session_id": 6411, "sequence_id": 136, "annotations": []}
{"role": "volunteer", "content": "2 times 3, that would be 6.", "session_id": 6411, "sequence_id": 137, "annotations": []}
{"role": "volunteer", "content": "for um", "session_id": 6411, "sequence_id": 138, "annotations": []}
{"role": "volunteer", "content": "number B, we do the same thing, 6 x 2 equals 12.", "session_id": 6411, "sequence_id": 139, "annotations": []}
{"role": "student", "content": "Mhm", "session_id": 6411, "sequence_id": 140, "annotations": []}
{"role": "volunteer", "content": "When you do number C, so the same thing to cube over 4, so we multiply 3 times 4 is 12-12.", "session_id": 6411, "sequence_id": 141, "annotations": []}
{"role": "volunteer", "content": "Now we can write this like when we have some.", "session_id": 6411, "sequence_id": 142, "annotations": []}
{"role": "volunteer", "content": "something like this, we can write it on over A.", "session_id": 6411, "sequence_id": 143, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 6411, "sequence_id": 144, "annotations": []}
{"role": "student", "content": "OK", "session_id": 6411, "sequence_id": 145, "annotations": []}
{"role": "volunteer", "content": "We have to do the power 12, so we can write it as one over.", "session_id": 6411, "sequence_id": 146, "annotations": []}
{"role": "volunteer", "content": "to do the negative, uh, 2 to about 12.", "session_id": 6411, "sequence_id": 147, "annotations": []}
{"role": "volunteer", "content": "Does it make sense", "session_id": 6411, "sequence_id": 148, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 6411, "sequence_id": 149, "annotations": []}
{"role": "volunteer", "content": "OK, can you uh tell me how to do number D", "session_id": 6411, "sequence_id": 150, "annotations": []}
{"role": "student", "content": "The example?", "session_id": 6411, "sequence_id": 151, "annotations": []}
{"role": "volunteer", "content": "Yeah.", "session_id": 6411, "sequence_id": 152, "annotations": []}
{"role": "student", "content": "OK, um", "session_id": 6411, "sequence_id": 153, "annotations": []}
{"role": "student", "content": "you do 4 times 3.", "session_id": 6411, "sequence_id": 154, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 6411, "sequence_id": 155, "annotations": []}
{"role": "student", "content": "which is 12.", "session_id": 6411, "sequence_id": 156, "annotations": []}
{"role": "volunteer", "content": "Good", "session_id": 6411, "sequence_id": 157, "annotations": []}
{"role": "volunteer", "content": "Um", "session_id": 6411, "sequence_id": 158, "annotations": []}
{"role": "volunteer", "content": "do you want to do the activities too?", "session_id": 6411, "sequence_id": 159, "annotations": []}
{"role": "student", "content": "Yeah, I'll do it.", "session_id": 6411, "sequence_id": 160, "annotations": []}
{"role": "volunteer", "content": "OK. Now walk me through them. Um, ah.", "session_id": 6411, "sequence_id": 161, "annotations": []}
{"role": "volunteer", "content": "you're doing great, actually, so let's see if you can do them too.", "session_id": 6411, "sequence_id": 162, "annotations": []}
{"role": "student", "content": "Well, you do 5 times 2.", "session_id": 6411, "sequence_id": 163, "annotations": []}
{"role": "volunteer", "content": "Uh-huh", "session_id": 6411, "sequence_id": 164, "annotations": []}
{"role": "student", "content": "1010.", "session_id": 6411, "sequence_id": 165, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 6411, "sequence_id": 166, "annotations": []}
{"role": "student", "content": "4 times 2.", "session_id": 6411, "sequence_id": 167, "annotations": []}
{"role": "volunteer", "content": "Mhm", "session_id": 6411, "sequence_id": 168, "annotations": []}
{"role": "student", "content": "which is -8. Free to the power of -8.", "session_id": 6411, "sequence_id": 169, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 6411, "sequence_id": 170, "annotations": []}
{"role": "student", "content": "and it says use positive, so we make it", "session_id": 6411, "sequence_id": 171, "annotations": []}
{"role": "student", "content": "one to the power", "session_id": 6411, "sequence_id": 172, "annotations": []}
{"role": "volunteer", "content": "Yes", "session_id": 6411, "sequence_id": 173, "annotations": []}
{"role": "student", "content": "1 over free to the power of -8, 8, sorry.", "session_id": 6411, "sequence_id": 174, "annotations": []}
{"role": "volunteer", "content": "Yeah, 8, yeah", "session_id": 6411, "sequence_id": 175, "annotations": []}
{"role": "volunteer", "content": "8", "session_id": 6411, "sequence_id": 176, "annotations": []}
{"role": "student", "content": "11", "session_id": 6411, "sequence_id": 177, "annotations": []}
{"role": "volunteer", "content": "Um", "session_id": 6411, "sequence_id": 178, "annotations": []}
{"role": "volunteer", "content": "uh-huh.", "session_id": 6411, "sequence_id": 179, "annotations": []}
{"role": "student", "content": "uh, for C, it's 3 times -2, which is 6. 11 to the powers.", "session_id": 6411, "sequence_id": 180, "annotations": []}
{"role": "student", "content": "for it's 3 times 5, which is -15, 7 to the power of -15, it becomes one to the power of.", "session_id": 6411, "sequence_id": 181, "annotations": []}
{"role": "student", "content": "one of", "session_id": 6411, "sequence_id": 182, "annotations": []}
{"role": "student", "content": "7 to 15.", "session_id": 6411, "sequence_id": 183, "annotations": []}
{"role": "volunteer", "content": "mhm", "session_id": 6411, "sequence_id": 184, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 6411, "sequence_id": 185, "annotations": []}
{"role": "volunteer", "content": "You got it", "session_id": 6411, "sequence_id": 186, "annotations": []}
{"role": "student", "content": "I don't get the", "session_id": 6411, "sequence_id": 187, "annotations": []}
{"role": "student", "content": "what's the second question? I don't know it.", "session_id": 6411, "sequence_id": 188, "annotations": []}
{"role": "volunteer", "content": "OK. So", "session_id": 6411, "sequence_id": 189, "annotations": []}
{"role": "volunteer", "content": "says Anna claims that, so if we do ulti power.", "session_id": 6411, "sequence_id": 190, "annotations": [{"pii_type": "PERSON", "surrogate": "Anna", "start": 5, "end": 9}]}
{"role": "volunteer", "content": "3", "session_id": 6411, "sequence_id": 191, "annotations": []}
{"role": "volunteer", "content": "I is it 3 square, I guess, right?", "session_id": 6411, "sequence_id": 192, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 6411, "sequence_id": 193, "annotations": []}
{"role": "volunteer", "content": "Yeah, so it's", "session_id": 6411, "sequence_id": 194, "annotations": []}
{"role": "volunteer", "content": "um to to the 9, and that's just you can, you know.", "session_id": 6411, "sequence_id": 195, "annotations": []}
{"role": "volunteer", "content": "calculate 512.", "session_id": 6411, "sequence_id": 196, "annotations": []}
{"role": "volunteer", "content": "And Ben claims that", "session_id": 6411, "sequence_id": 197, "annotations": [{"pii_type": "PERSON", "surrogate": "Ben", "start": 4, "end": 7}]}
{"role": "volunteer", "content": "OK, so whose claim is correct.", "session_id": 6411, "sequence_id": 198, "annotations": []}
{"role": "volunteer", "content": "What do you think?", "session_id": 6411, "sequence_id": 199, "annotations": []}
{"role": "student", "content": "Um", "session_id": 6411, "sequence_id": 200, "annotations": []}
{"role": "student", "content": "is it Anna", "session_id": 6411, "sequence_id": 201, "annotations": [{"pii_type": "PERSON", "surrogate": "Anna", "start": 6, "end": 10}]}
{"role": "volunteer", "content": "Yes, why is that?", "session_id": 6411, "sequence_id": 202, "annotations": []}
{"role": "volunteer", "content": "Mhm.", "session_id": 6411, "sequence_id": 203, "annotations": []}
{"role": "student", "content": "Because free to the power of 2 is 9, so it's 2/9.", "session_id": 6411, "sequence_id": 204, "annotations": []}
{"role": "student", "content": "It equals 1 equals 512.", "session_id": 6411, "sequence_id": 205, "annotations": []}
{"role": "volunteer", "content": "OK, uh, why is Ben uh wrong?", "session_id": 6411, "sequence_id": 206, "annotations": [{"pii_type": "PERSON", "surrogate": "Ben", "start": 15, "end": 18}]}
{"role": "student", "content": "because um", "session_id": 6411, "sequence_id": 207, "annotations": []}
{"role": "student", "content": "2", "session_id": 6411, "sequence_id": 208, "annotations": []}
{"role": "student", "content": "to, uh, due to the power of free to the power of 2 is not.", "session_id": 6411, "sequence_id": 209, "annotations": []}
{"role": "student", "content": "uh, that", "session_id": 6411, "sequence_id": 210, "annotations": []}
{"role": "student", "content": "um", "session_id": 6411, "sequence_id": 211, "annotations": []}
{"role": "volunteer", "content": "Yeah, so the thing is here is the parenthesis. You can see that, right?", "session_id": 6411, "sequence_id": 212, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 6411, "sequence_id": 213, "annotations": []}
{"role": "volunteer", "content": "So", "session_id": 6411, "sequence_id": 214, "annotations": []}
{"role": "volunteer", "content": "when we write", "session_id": 6411, "sequence_id": 215, "annotations": []}
{"role": "volunteer", "content": "this, this actually say is.", "session_id": 6411, "sequence_id": 216, "annotations": []}
{"role": "volunteer", "content": "2 to 9, right? Because this is 3 square.", "session_id": 6411, "sequence_id": 217, "annotations": []}
{"role": "volunteer", "content": "But if we ride it like this", "session_id": 6411, "sequence_id": 218, "annotations": []}
{"role": "volunteer", "content": "that actually means we're going to multiply 3 times 2, that's 6.", "session_id": 6411, "sequence_id": 219, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 6411, "sequence_id": 220, "annotations": []}
{"role": "student", "content": "OK", "session_id": 6411, "sequence_id": 221, "annotations": []}
{"role": "volunteer", "content": "So these are two different things, so when you do them, um, obviously make sure you, uh, you know.", "session_id": 6411, "sequence_id": 222, "annotations": []}
{"role": "volunteer", "content": "look at the parenthesis because if there's no parenthesis, then it's different.", "session_id": 6411, "sequence_id": 223, "annotations": []}
{"role": "student", "content": "Oh", "session_id": 6411, "sequence_id": 224, "annotations": []}
{"role": "volunteer", "content": "So", "session_id": 6411, "sequence_id": 225, "annotations": []}
{"role": "volunteer", "content": "when you have", "session_id": 6411, "sequence_id": 226, "annotations": []}
{"role": "volunteer", "content": "this", "session_id": 6411, "sequence_id": 227, "annotations": []}
{"role": "volunteer", "content": "that actually means", "session_id": 6411, "sequence_id": 228, "annotations": []}
{"role": "volunteer", "content": "we multiply m times n when you have", "session_id": 6411, "sequence_id": 229, "annotations": []}
{"role": "volunteer", "content": "this, it means M is M has the power of N.", "session_id": 6411, "sequence_id": 230, "annotations": []}
{"role": "student", "content": "Yeah.", "session_id": 6411, "sequence_id": 231, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 6411, "sequence_id": 232, "annotations": []}
{"role": "volunteer", "content": "Is that all you need help with today?", "session_id": 6411, "sequence_id": 233, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 6411, "sequence_id": 234, "annotations": []}
{"role": "volunteer", "content": "OK.", "session_id": 6411, "sequence_id": 235, "annotations": []}
{"role": "student", "content": "OK", "session_id": 6411, "sequence_id": 236, "annotations": []}
{"role": "volunteer", "content": "Bye", "session_id": 6411, "sequence_id": 237, "annotations": []}
{"role": "volunteer", "content": "You did great today", "session_id": 6411, "sequence_id": 238, "annotations": []}
{"role": "student", "content": "Thank you", "session_id": 6411, "sequence_id": 239, "annotations": []}
{"role": "volunteer", "content": "Good luck", "session_id": 6411, "sequence_id": 240, "annotations": []}
{"role": "student", "content": "Thank you", "session_id": 6411, "sequence_id": 241, "annotations": []}
{"role": "student", "content": "Hello", "session_id": 6412, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "Hi", "session_id": 6412, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "I actually need help with something the total opposite", "session_id": 6412, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "okay, what is it", "session_id": 6412, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "Its Geography/Meterology, but Idk if you're knowledgeable in that no coachs are available in that section and it deals with numbers so I kinda requested a math section", "session_id": 6412, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "so I am not knowledgeable in Geography/Meterology, but if it is with numbers, I can take a look at it", "session_id": 6412, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "Ok", "session_id": 6412, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "Give me one sec", "session_id": 6412, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "Well you have to read a map", "session_id": 6412, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "So that's the thing that is kinda challenging", "session_id": 6412, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "Bc you have to know how to read the map", "session_id": 6412, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "uhh, I am not sure, I think I am not very good at that", "session_id": 6412, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "Ok, well I will try requesting in Redwood City again then. Thanks in advance!", "session_id": 6412, "sequence_id": 12, "annotations": [{"pii_type": "LOCATION", "surrogate": "Redwood City", "start": 34, "end": 46}]}
{"role": "volunteer", "content": "Hi", "session_id": 6429, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "hi cxan I get some help", "session_id": 6429, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "can", "session_id": 6429, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "Of course. What are you working on", "session_id": 6429, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "iready", "session_id": 6429, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "do u want me to share my scrren", "session_id": 6429, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "If you paste something on the whiteboard it works well", "session_id": 6429, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "I cant do u want me to share my screen", "session_id": 6429, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "Lets try it", "session_id": 6429, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "Have you done any of these before? Or should I work through it on the first one?", "session_id": 6429, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "yes I have", "session_id": 6429, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "What would you do first then to start?", "session_id": 6429, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "thanx", "session_id": 6429, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "Sorry if I wrote it in a confusing way. We multiply the numbers, then find the correct place for the decimal.", "session_id": 6429, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "ok", "session_id": 6429, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "Do you want to do another", "session_id": 6429, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "Sure", "session_id": 6429, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "Good luck", "session_id": 6429, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "hi", "session_id": 6697, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "can u help me with this problem", "session_id": 6697, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "Hello", "session_id": 6697, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "Yes I can help you with the problem.", "session_id": 6697, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "Give me a second to look into it.", "session_id": 6697, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "thank you sm", "session_id": 6697, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "it says \"https://example.come used at the same time' where it cuts off", "session_id": 6697, "sequence_id": 6, "annotations": [{"pii_type": "URL", "surrogate": "https://example.com", "start": 9, "end": 28}]}
{"role": "volunteer", "content": "Ok cool, this is a work rate problem.", "session_id": 6697, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "Are you familiar with these types of problems?", "session_id": 6697, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "a little", "session_id": 6697, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "i was stuck in the lcd", "session_id": 6697, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "Ok, so lets start with the large pump and small pump rates. What would be the rate of the large pump?", "session_id": 6697, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "48?", "session_id": 6697, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "Yes its rate will be 1 pool / 48 hours", "session_id": 6697, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "How about the small pump?", "session_id": 6697, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "68", "session_id": 6697, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "Great the rate of that will be 1 pool / 68 hours", "session_id": 6697, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "Now we need to find if both pumps are used at the same time, how long would it take to empy the pool. Any ideas on how to do this?", "session_id": 6697, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "using the formula? 1/a + 1/b =1/t", "session_id": 6697, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "but we wpuld label", "session_id": 6697, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "1/48 + 1/68 = 1/t?", "session_id": 6697, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "Great!. Lets focus on simplifying 1/48 + 1/68", "session_id": 6697, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "So we can solve for t.", "session_id": 6697, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "im stcuk here", "session_id": 6697, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "Okay, so to add these", "session_id": 6697, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "We can multiply 1/48 by (68/68)", "session_id": 6697, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "And we can multiply 1/68 by (48/48)", "session_id": 6697, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "To get a common denominator.", "session_id": 6697, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "can you write it out on the board?", "session_id": 6697, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "Do you know why we are doing this?", "session_id": 6697, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "no", "session_id": 6697, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "wait to get a common denominator?", "session_id": 6697, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "yes exactly.", "session_id": 6697, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "We need to get a common denominator to add fractions.", "session_id": 6697, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "yay", "session_id": 6697, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "would i have to simplify from here?", "session_id": 6697, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "Does your answer specify that it wants the answer in a decimal?", "session_id": 6697, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "its said it before for a previous one but not for this one", "session_id": 6697, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "but idk if it would make sense for it to not be in decimal for since were talking about time?", "session_id": 6697, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "Okay so now we need to solve for the time.", "session_id": 6697, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "ok", "session_id": 6697, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "How would we solve for the time?", "session_id": 6697, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "idk", "session_id": 6697, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "The time is 1 / combined rate", "session_id": 6697, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "And we already solved for the combine rate", "session_id": 6697, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "So", "session_id": 6697, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "so i would divide that?", "session_id": 6697, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "So when we take 1 over a fraction", "session_id": 6697, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "All you have to do to simplfiy it is take the reciprocal.", "session_id": 6697, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "So we simply want to solve 3264/116", "session_id": 6697, "sequence_id": 49, "annotations": []}
{"role": "student", "content": "oh", "session_id": 6697, "sequence_id": 50, "annotations": []}
{"role": "student", "content": "OMG", "session_id": 6697, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "oh my god thank u sm", "session_id": 6697, "sequence_id": 52, "annotations": []}
{"role": "student", "content": "i understand now", "session_id": 6697, "sequence_id": 53, "annotations": []}
{"role": "student", "content": "my savior", "session_id": 6697, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "Happy that I was able to help :)", "session_id": 6697, "sequence_id": 55, "annotations": []}
{"role": "student", "content": "yay", "session_id": 6697, "sequence_id": 56, "annotations": []}
{"role": "student", "content": "have a good night/day", "session_id": 6697, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "You as well :)", "session_id": 6697, "sequence_id": 58, "annotations": []}
{"role": "student", "content": "Hello", "session_id": 6824, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "Hey Alex how's it going?", "session_id": 6824, "sequence_id": 1, "annotations": [{"pii_type": "PERSON", "surrogate": "Alex", "start": 4, "end": 8}]}
{"role": "student", "content": "It's going really bad, but thanks for asking.", "session_id": 6824, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "How is it going", "session_id": 6824, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "It's going pretty good for me", "session_id": 6824, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "That's good", "session_id": 6824, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "Sorry I can't talk", "session_id": 6824, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "OK", "session_id": 6824, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "So what can I help you wiht today", "session_id": 6824, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "Well, please help me with geometry proofs, as we all know, this is the hardest topic ever, right?", "session_id": 6824, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "So we already know that they gave, they already gave us the option, but they it was given blood interior trans out a property of congruence, and I let me mark them to see if I if I know them. So IJ", "session_id": 6824, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "and then GH right? and then HG.", "session_id": 6824, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "I", "session_id": 6824, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "so", "session_id": 6824, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "we have something here.", "session_id": 6824, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "My ankle", "session_id": 6824, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "Well, an angle, right? But like there's like the transversal line like going through it. I don't think that counts.", "session_id": 6824, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "Yes I remember doing proofs", "session_id": 6824, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "They were so hard", "session_id": 6824, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "I don't like them at all.", "session_id": 6824, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "I completely agree with that", "session_id": 6824, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "Alright give me one second to see this and then i'll get back to you", "session_id": 6824, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "OK, thank you", "session_id": 6824, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "Ok so we have that HGI equals GHJ", "session_id": 6824, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "Do you want to mark that on the picture", "session_id": 6824, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "OK, so HGI?", "session_id": 6824, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "Yes, please mark that.", "session_id": 6824, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "Oh, wait, I'll mark it, OK. So, I don't know how to market it. Can you mark it, please?", "session_id": 6824, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "Yes sure no problem", "session_id": 6824, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "Do you understand that?", "session_id": 6824, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "I don't know if you are talking but your mic is off", "session_id": 6824, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "Oh yeah, I'm a bit wasn't working that", "session_id": 6824, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "OK, yeah, my my microphone wasn't working.", "session_id": 6824, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "OK, so basically, yes. So I see that GNH were kind of a congruent, right? So I'm not sure if I'm right, but like, let's see, we have an angle, I don't know, but we see that um there's like separate, so here, right, this is your own triangle, and then the other one, it's a little confusing cause you have the transversal it's like a really hard to like", "session_id": 6824, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "I don't know, but I, I definitely know that GNH are congruent", "session_id": 6824, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "and then the black line that I wrote, I'm gonna take it off. I'm not sure if that's right.", "session_id": 6824, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "I understand what you are saying", "session_id": 6824, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "OK, let me just erase it. So, so far, am I good? Well,", "session_id": 6824, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "what do you think?", "session_id": 6824, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "Right now we're trying to find the theorem, right?", "session_id": 6824, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "Like the congruent thing or whatever.", "session_id": 6824, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "We are trying to find that the two triangles are congruent.", "session_id": 6824, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "Yeah.", "session_id": 6824, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "The black thing you drew was one of the triangle", "session_id": 6824, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "What is the other one?", "session_id": 6824, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "cause the transversal was like, the transversal was in between them, so that's why I erased it. So basically it's JK and then JKJ.", "session_id": 6824, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "No it says we are trying to prove HIJ and GJI", "session_id": 6824, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "OK, yeah, we're trying to find that.", "session_id": 6824, "sequence_id": 47, "annotations": []}
{"role": "student", "content": "Mm, I don't know how to do this. This is really hard.", "session_id": 6824, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "Hey it's ok we are going to do this okay", "session_id": 6824, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "So what do we need to find to prove that the triangles are congruent", "session_id": 6824, "sequence_id": 50, "annotations": []}
{"role": "student", "content": "OK, so basically, we're just trying to like see how.", "session_id": 6824, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "triangle HIJ is congruent to GJI will, I always like to see in the middle, so the second one, that always shows that I is gonna run to J.", "session_id": 6824, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "Did your teacher tell you about the requirements for 2 triangles to eb congruent", "session_id": 6824, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "Okay", "session_id": 6824, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "SAA", "session_id": 6824, "sequence_id": 55, "annotations": []}
{"role": "student", "content": "Well, side, angle side.", "session_id": 6824, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "Yes do you know all of them?", "session_id": 6824, "sequence_id": 57, "annotations": []}
{"role": "student", "content": "angled side, side.", "session_id": 6824, "sequence_id": 58, "annotations": []}
{"role": "student", "content": "angled side, ankle.", "session_id": 6824, "sequence_id": 59, "annotations": []}
{"role": "student", "content": "Those are some I know", "session_id": 6824, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "Yes I see", "session_id": 6824, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "Angle side side is tricky because that one does not actually prove that the triangles are congruent", "session_id": 6824, "sequence_id": 62, "annotations": []}
{"role": "student", "content": "Every single time you try to look for them, I wanna look for them while I'm.", "session_id": 6824, "sequence_id": 63, "annotations": []}
{"role": "student", "content": "That wasn't background noise, OK. OK, yeah, yeah side, side is really tricky.", "session_id": 6824, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "Did you put in statements 4 - 8 or were those already in the problem?", "session_id": 6824, "sequence_id": 65, "annotations": []}
{"role": "student", "content": "No, those are already on the problem.", "session_id": 6824, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "Ok then we have that information too", "session_id": 6824, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "Let's mark that in the picture", "session_id": 6824, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "Woudl you like to try or do you just want to follow along for the first time", "session_id": 6824, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "Is your mic off?", "session_id": 6824, "sequence_id": 70, "annotations": []}
{"role": "student", "content": "Yeah, my microphone was off", "session_id": 6824, "sequence_id": 71, "annotations": []}
{"role": "student", "content": "Um.", "session_id": 6824, "sequence_id": 72, "annotations": []}
{"role": "student", "content": "I want to follow along because this is really hard.", "session_id": 6824, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "Ok no problem let's do it together the first time.", "session_id": 6824, "sequence_id": 74, "annotations": []}
{"role": "volunteer", "content": "So we have HGi equals GIJ angles", "session_id": 6824, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "Now HJI equals GHJ", "session_id": 6824, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "HGI sorry", "session_id": 6824, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "We already marked that", "session_id": 6824, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "One second let em mark it", "session_id": 6824, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "Then HJI equals GHJ", "session_id": 6824, "sequence_id": 80, "annotations": []}
{"role": "volunteer", "content": "We just did that", "session_id": 6824, "sequence_id": 81, "annotations": []}
{"role": "volunteer", "content": "GHJ equals IJK", "session_id": 6824, "sequence_id": 82, "annotations": []}
{"role": "volunteer", "content": "Side Ij equals Ij", "session_id": 6824, "sequence_id": 83, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 6824, "sequence_id": 84, "annotations": []}
{"role": "student", "content": "No", "session_id": 6824, "sequence_id": 85, "annotations": []}
{"role": "volunteer", "content": "Okay so what do we have in the two triangles we want to find", "session_id": 6824, "sequence_id": 86, "annotations": []}
{"role": "student", "content": "Well we want to have in those two triangles that we find.", "session_id": 6824, "sequence_id": 87, "annotations": []}
{"role": "student", "content": "We obviously want to find out like what, they shared together so IJ.", "session_id": 6824, "sequence_id": 88, "annotations": []}
{"role": "volunteer", "content": "Perfect", "session_id": 6824, "sequence_id": 89, "annotations": []}
{"role": "volunteer", "content": "Yes", "session_id": 6824, "sequence_id": 90, "annotations": []}
{"role": "volunteer", "content": "IJ is one side", "session_id": 6824, "sequence_id": 91, "annotations": []}
{"role": "volunteer", "content": "Now we need to find a few more things they share", "session_id": 6824, "sequence_id": 92, "annotations": []}
{"role": "volunteer", "content": "How can we do that", "session_id": 6824, "sequence_id": 93, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 6824, "sequence_id": 94, "annotations": []}
{"role": "student", "content": "OK, yeah, IJ is one side, so what does this tell us and tell us that this is a side, right?", "session_id": 6824, "sequence_id": 95, "annotations": []}
{"role": "volunteer", "content": "Yes IJ is a side but look", "session_id": 6824, "sequence_id": 96, "annotations": []}
{"role": "volunteer", "content": "We want to prove that those two triangles are congruent", "session_id": 6824, "sequence_id": 97, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 6824, "sequence_id": 98, "annotations": []}
{"role": "student", "content": "I think that's", "session_id": 6824, "sequence_id": 99, "annotations": []}
{"role": "student", "content": "So, um, what you did the peach color.", "session_id": 6824, "sequence_id": 100, "annotations": []}
{"role": "student", "content": "hm, so.", "session_id": 6824, "sequence_id": 101, "annotations": []}
{"role": "volunteer", "content": "Side IJ is shared by both triangles right>", "session_id": 6824, "sequence_id": 102, "annotations": []}
{"role": "student", "content": "it's just a crisscross apple sauce that's making me a little confused, but", "session_id": 6824, "sequence_id": 103, "annotations": []}
{"role": "student", "content": "um, basically telling us that JK and and then HKI.", "session_id": 6824, "sequence_id": 104, "annotations": []}
{"role": "student", "content": "Um, I don't know.", "session_id": 6824, "sequence_id": 105, "annotations": []}
{"role": "volunteer", "content": "Think of it like that", "session_id": 6824, "sequence_id": 106, "annotations": []}
{"role": "volunteer", "content": "They are just both overlapping", "session_id": 6824, "sequence_id": 107, "annotations": []}
{"role": "student", "content": "Oh, OK, so they're overlapping. So yeah", "session_id": 6824, "sequence_id": 108, "annotations": []}
{"role": "student", "content": "H", "session_id": 6824, "sequence_id": 109, "annotations": []}
{"role": "student", "content": "K J I.", "session_id": 6824, "sequence_id": 110, "annotations": []}
{"role": "student", "content": "So basically they're overlapping the shapes", "session_id": 6824, "sequence_id": 111, "annotations": []}
{"role": "volunteer", "content": "I see what you are saying", "session_id": 6824, "sequence_id": 112, "annotations": []}
{"role": "volunteer", "content": "Now side IJ is part of both triangels right", "session_id": 6824, "sequence_id": 113, "annotations": []}
{"role": "student", "content": "Yeah, so IJ is basically part of the triangles, right? So this is how, you know, the uh, um, it looks like I is like I don't know, but like it's like an angle I'm not sure, but they're like overlapping with eye.", "session_id": 6824, "sequence_id": 114, "annotations": []}
{"role": "volunteer", "content": "Yes it is part of both triangles", "session_id": 6824, "sequence_id": 115, "annotations": []}
{"role": "volunteer", "content": "So we have one side is equal in both triangles correct?", "session_id": 6824, "sequence_id": 116, "annotations": []}
{"role": "student", "content": "So yes, we have one side, so this is telling us already.", "session_id": 6824, "sequence_id": 117, "annotations": []}
{"role": "student", "content": "we can make a stripe, right, and then puts.", "session_id": 6824, "sequence_id": 118, "annotations": []}
{"role": "volunteer", "content": "Great", "session_id": 6824, "sequence_id": 119, "annotations": []}
{"role": "volunteer", "content": "You get it", "session_id": 6824, "sequence_id": 120, "annotations": []}
{"role": "student", "content": "Yay! So I would like to think of it, um, G, right? So G would be a, wouldn't it?", "session_id": 6824, "sequence_id": 121, "annotations": []}
{"role": "student", "content": "So this is telling me it could be *** or ASA.", "session_id": 6824, "sequence_id": 122, "annotations": []}
{"role": "student", "content": "Oh no.", "session_id": 6824, "sequence_id": 123, "annotations": []}
{"role": "volunteer", "content": "Wait don't get ahead of yourself", "session_id": 6824, "sequence_id": 124, "annotations": []}
{"role": "student", "content": "Don't be me, you chief.", "session_id": 6824, "sequence_id": 125, "annotations": []}
{"role": "volunteer", "content": "We still have to find more angles or sides", "session_id": 6824, "sequence_id": 126, "annotations": []}
{"role": "volunteer", "content": "We can't assume that theyre equal", "session_id": 6824, "sequence_id": 127, "annotations": []}
{"role": "volunteer", "content": "How do we find that more angles and sides are equal", "session_id": 6824, "sequence_id": 128, "annotations": []}
{"role": "student", "content": "Well, how do we find more angles and sides that are equal. Well, basically you can look at.", "session_id": 6824, "sequence_id": 129, "annotations": []}
{"role": "student", "content": "oh my gosh, OK.", "session_id": 6824, "sequence_id": 130, "annotations": []}
{"role": "student", "content": "Ha ha ha ha ha, hey, hey, hey. What happened?", "session_id": 6824, "sequence_id": 131, "annotations": []}
{"role": "student", "content": "OK", "session_id": 6824, "sequence_id": 132, "annotations": []}
{"role": "student", "content": "Um,", "session_id": 6824, "sequence_id": 133, "annotations": []}
{"role": "student", "content": "you can basically look at the statements, right?", "session_id": 6824, "sequence_id": 134, "annotations": []}
{"role": "student", "content": "So GI um GI is a side.", "session_id": 6824, "sequence_id": 135, "annotations": []}
{"role": "student", "content": "right? HJ", "session_id": 6824, "sequence_id": 136, "annotations": []}
{"role": "student", "content": "it's like, um, I don't know, like a, like line between them, so I'm not sure.", "session_id": 6824, "sequence_id": 137, "annotations": []}
{"role": "student", "content": "Mommy's call", "session_id": 6824, "sequence_id": 138, "annotations": []}
{"role": "volunteer", "content": "It", "session_id": 6824, "sequence_id": 139, "annotations": []}
{"role": "student", "content": "Also, I have to leave like right now so I could eat. So I'm sorry, but like I'm not going to leave right now, but like when we're done with the problem.", "session_id": 6824, "sequence_id": 140, "annotations": []}
{"role": "student", "content": "Hello.", "session_id": 6824, "sequence_id": 141, "annotations": []}
{"role": "volunteer", "content": "Yes, can you hear me", "session_id": 6824, "sequence_id": 142, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 6824, "sequence_id": 143, "annotations": []}
{"role": "volunteer", "content": "OK. So we have to find that multiple sides and angles are equal, right?", "session_id": 6824, "sequence_id": 144, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 6824, "sequence_id": 145, "annotations": []}
{"role": "volunteer", "content": "Yes, so we have the IJZ, so we have one side. Now we need to find like a couple more angles that are equal. So how can we do that? We've already put the givens in the problem, so that's everything we have. So how do you think we can find more angles. If you don't get it, it's completely fine.", "session_id": 6824, "sequence_id": 146, "annotations": []}
{"role": "student", "content": "Oh, I see that G and then J and then I have some type of marking so that could be an angle, right?", "session_id": 6824, "sequence_id": 147, "annotations": []}
{"role": "volunteer", "content": "Yeah, but.", "session_id": 6824, "sequence_id": 148, "annotations": []}
{"role": "student", "content": "So look, alternative interior angles. So HGI and then is congruent to GIJ.", "session_id": 6824, "sequence_id": 149, "annotations": []}
{"role": "volunteer", "content": "HG.", "session_id": 6824, "sequence_id": 150, "annotations": []}
{"role": "volunteer", "content": "Yes, that is correct. Uh, one second.", "session_id": 6824, "sequence_id": 151, "annotations": []}
{"role": "volunteer", "content": "SH", "session_id": 6824, "sequence_id": 152, "annotations": []}
{"role": "student", "content": "So this would be your ankle.", "session_id": 6824, "sequence_id": 153, "annotations": []}
{"role": "volunteer", "content": "one", "session_id": 6824, "sequence_id": 154, "annotations": []}
{"role": "student", "content": "So that would be an angle", "session_id": 6824, "sequence_id": 155, "annotations": []}
{"role": "volunteer", "content": "Yeah, no, HGI does equal GIJ, but do you see how uh both those angles are not in the triangles we're trying to find. So look.", "session_id": 6824, "sequence_id": 156, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 6824, "sequence_id": 157, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 6824, "sequence_id": 158, "annotations": []}
{"role": "volunteer", "content": "Yeah, HGI is here and GIJ is here. This angle is in this triangle, but you see how we still don't have uh angle in this triangle.", "session_id": 6824, "sequence_id": 159, "annotations": []}
{"role": "student", "content": "Mhm", "session_id": 6824, "sequence_id": 160, "annotations": []}
{"role": "volunteer", "content": "Yeah.", "session_id": 6824, "sequence_id": 161, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 6824, "sequence_id": 162, "annotations": []}
{"role": "student", "content": "So basically HGI isn't in the triangle, so it wouldn't work. It would have to be like in the pink only.", "session_id": 6824, "sequence_id": 163, "annotations": []}
{"role": "volunteer", "content": "exactly", "session_id": 6824, "sequence_id": 164, "annotations": []}
{"role": "student", "content": "Yeah, H is in it in the triangle.", "session_id": 6824, "sequence_id": 165, "annotations": []}
{"role": "volunteer", "content": "Yeah. OK. So, GIJ is in the triangle, right?", "session_id": 6824, "sequence_id": 166, "annotations": []}
{"role": "student", "content": "Yeah, so GJI is in a triangle.", "session_id": 6824, "sequence_id": 167, "annotations": []}
{"role": "volunteer", "content": "No, no, GIJ.", "session_id": 6824, "sequence_id": 168, "annotations": []}
{"role": "student", "content": "Yeah, G I J.", "session_id": 6824, "sequence_id": 169, "annotations": []}
{"role": "volunteer", "content": "Yes, OK. Sir, according, like they've given us a lot of stuff, so we know that HGI equals GIJ, right?", "session_id": 6824, "sequence_id": 170, "annotations": []}
{"role": "student", "content": "Mhm", "session_id": 6824, "sequence_id": 171, "annotations": []}
{"role": "student", "content": "Mhm", "session_id": 6824, "sequence_id": 172, "annotations": []}
{"role": "volunteer", "content": "And we know that uh GHJ equals IGIJH, right?", "session_id": 6824, "sequence_id": 173, "annotations": []}
{"role": "student", "content": "Mhm.", "session_id": 6824, "sequence_id": 174, "annotations": []}
{"role": "volunteer", "content": "Yes, so we have", "session_id": 6824, "sequence_id": 175, "annotations": []}
{"role": "volunteer", "content": "we basically have this angle equals this angle.", "session_id": 6824, "sequence_id": 176, "annotations": []}
{"role": "student", "content": "OK", "session_id": 6824, "sequence_id": 177, "annotations": []}
{"role": "volunteer", "content": "and we have this angle equals this angle, right?", "session_id": 6824, "sequence_id": 178, "annotations": []}
{"role": "student", "content": "Yeah, so that's one like angle.", "session_id": 6824, "sequence_id": 179, "annotations": []}
{"role": "volunteer", "content": "Yeah, yeah, it", "session_id": 6824, "sequence_id": 180, "annotations": []}
{"role": "student", "content": "because HHJI, right?", "session_id": 6824, "sequence_id": 181, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 6824, "sequence_id": 182, "annotations": []}
{"role": "volunteer", "content": "because, because we have this angle equals this angle, and we have this angle equals this angle, and it's", "session_id": 6824, "sequence_id": 183, "annotations": []}
{"role": "student", "content": "So it's angle side angle.", "session_id": 6824, "sequence_id": 184, "annotations": []}
{"role": "volunteer", "content": "it says wait oh wait, we don't have enough ankles for that yet. See, now we, we know that this angle equals this angle because of this, right?", "session_id": 6824, "sequence_id": 185, "annotations": []}
{"role": "student", "content": "Mhm", "session_id": 6824, "sequence_id": 186, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 6824, "sequence_id": 187, "annotations": []}
{"role": "volunteer", "content": "Yeah. So we be because you see how because this angle equals this angle, the single equals this angle, so basically from that we can see how all of these angles are equal, right?", "session_id": 6824, "sequence_id": 188, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 6824, "sequence_id": 189, "annotations": []}
{"role": "volunteer", "content": "Yeah. So, think about it. We have this side", "session_id": 6824, "sequence_id": 190, "annotations": []}
{"role": "volunteer", "content": "and we have this angle.", "session_id": 6824, "sequence_id": 191, "annotations": []}
{"role": "volunteer", "content": "We have this angle, do you get that", "session_id": 6824, "sequence_id": 192, "annotations": []}
{"role": "student", "content": "Yeah. So", "session_id": 6824, "sequence_id": 193, "annotations": []}
{"role": "volunteer", "content": "Yes.", "session_id": 6824, "sequence_id": 194, "annotations": []}
{"role": "volunteer", "content": "So", "session_id": 6824, "sequence_id": 195, "annotations": []}
{"role": "student", "content": "we have a lot of angles.", "session_id": 6824, "sequence_id": 196, "annotations": []}
{"role": "volunteer", "content": "yeah, right here, we have this side, this angle.", "session_id": 6824, "sequence_id": 197, "annotations": []}
{"role": "volunteer", "content": "If this side", "session_id": 6824, "sequence_id": 198, "annotations": []}
{"role": "student", "content": "That's side, yeah, that's a side. So, yeah", "session_id": 6824, "sequence_id": 199, "annotations": []}
{"role": "student", "content": "OK", "session_id": 6824, "sequence_id": 200, "annotations": []}
{"role": "volunteer", "content": "So right now, we just need one more side, one more angle, OK? Something like that.", "session_id": 6824, "sequence_id": 201, "annotations": []}
{"role": "student", "content": "So we always have to have 3 ankles and 3 sides.", "session_id": 6824, "sequence_id": 202, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 6824, "sequence_id": 203, "annotations": []}
{"role": "volunteer", "content": "No, that, that's the thing. There's multiple combinations. There's ASA, SAA, SAS. Did your teacher tell you about that?", "session_id": 6824, "sequence_id": 204, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 6824, "sequence_id": 205, "annotations": []}
{"role": "volunteer", "content": "Yeah, so we just have to like know all the combinations, then we just have to try to find how different angles they equal and", "session_id": 6824, "sequence_id": 206, "annotations": []}
{"role": "volunteer", "content": "yeah.", "session_id": 6824, "sequence_id": 207, "annotations": []}
{"role": "student", "content": "OK, so another one would be HJI.", "session_id": 6824, "sequence_id": 208, "annotations": []}
{"role": "student", "content": "Yeah, H J I, yeah, yeah, that's the one that we have.", "session_id": 6824, "sequence_id": 209, "annotations": []}
{"role": "volunteer", "content": "Yeah, we have HJI equals GIJ, right?", "session_id": 6824, "sequence_id": 210, "annotations": []}
{"role": "student", "content": "Yeah, yeah.", "session_id": 6824, "sequence_id": 211, "annotations": []}
{"role": "volunteer", "content": "Yes, and we have that side. So we're like halfway there. We have 2 of the 3 we need. Now we just need one more thing, you get that?", "session_id": 6824, "sequence_id": 212, "annotations": []}
{"role": "student", "content": "Yeah. Wouldn't it be like K? No OK, no, no.", "session_id": 6824, "sequence_id": 213, "annotations": []}
{"role": "volunteer", "content": "See oh, yeah, K is not part of the", "session_id": 6824, "sequence_id": 214, "annotations": []}
{"role": "volunteer", "content": "both the triangles.", "session_id": 6824, "sequence_id": 215, "annotations": []}
{"role": "student", "content": "Yeah. This is tricky because you can only have the angles inside.", "session_id": 6824, "sequence_id": 216, "annotations": []}
{"role": "student", "content": "the trainingles or whatever, the pink and peach.", "session_id": 6824, "sequence_id": 217, "annotations": []}
{"role": "volunteer", "content": "Yeah, it is really tricky. So now we just have to think a little to try and find uh", "session_id": 6824, "sequence_id": 218, "annotations": []}
{"role": "volunteer", "content": "another anglers.", "session_id": 6824, "sequence_id": 219, "annotations": []}
{"role": "student", "content": "OG, wouldn't GJ be considered like a um aside, I'm not sure.", "session_id": 6824, "sequence_id": 220, "annotations": []}
{"role": "volunteer", "content": "No, GJ is a sassy if it's not an angle, it's a size. OK?", "session_id": 6824, "sequence_id": 221, "annotations": []}
{"role": "student", "content": "So we could put that", "session_id": 6824, "sequence_id": 222, "annotations": []}
{"role": "student", "content": "Mhm", "session_id": 6824, "sequence_id": 223, "annotations": []}
{"role": "volunteer", "content": "No, OK, so we know that these are sides and angles. We just have to find that they're equal, OK. GJ is a% aside. Like if you can find that GJ equals HI, then yeah, we can use that.", "session_id": 6824, "sequence_id": 224, "annotations": []}
{"role": "student", "content": "Well, isn't that like, isn't like it like the thing they share or something.", "session_id": 6824, "sequence_id": 225, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 6824, "sequence_id": 226, "annotations": []}
{"role": "student", "content": "or, or G. No, no, no.", "session_id": 6824, "sequence_id": 227, "annotations": []}
{"role": "volunteer", "content": "OK, you getting just a little confused and that's OK. OK. So, do you understand the difference between ankles and sides?", "session_id": 6824, "sequence_id": 228, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 6824, "sequence_id": 229, "annotations": []}
{"role": "volunteer", "content": "Yes, so this line as a side and these like things or angles, you get that?", "session_id": 6824, "sequence_id": 230, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 6824, "sequence_id": 231, "annotations": []}
{"role": "volunteer", "content": "Yes. So don't get confused on that. We just need to find that certain sides are equal, like we need to find that this equals this.", "session_id": 6824, "sequence_id": 232, "annotations": []}
{"role": "student", "content": "Can I just put them like looking at the old one, can I just put them?", "session_id": 6824, "sequence_id": 233, "annotations": []}
{"role": "volunteer", "content": "What older", "session_id": 6824, "sequence_id": 234, "annotations": []}
{"role": "volunteer", "content": "Oh this", "session_id": 6824, "sequence_id": 235, "annotations": []}
{"role": "student", "content": "like these", "session_id": 6824, "sequence_id": 236, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 6824, "sequence_id": 237, "annotations": []}
{"role": "volunteer", "content": "OK, I see", "session_id": 6824, "sequence_id": 238, "annotations": []}
{"role": "student", "content": "That", "session_id": 6824, "sequence_id": 239, "annotations": []}
{"role": "volunteer", "content": "So we have, we need to find that uh", "session_id": 6824, "sequence_id": 240, "annotations": []}
{"role": "student", "content": "angle side angle", "session_id": 6824, "sequence_id": 241, "annotations": []}
{"role": "volunteer", "content": "yeah, but right now we only have side and angle. We need to find that other angle. So how do we do that?", "session_id": 6824, "sequence_id": 242, "annotations": []}
{"role": "student", "content": "I don't know. I just know it's single side angle.", "session_id": 6824, "sequence_id": 243, "annotations": []}
{"role": "volunteer", "content": "Well, do you have the answer somewhere", "session_id": 6824, "sequence_id": 244, "annotations": []}
{"role": "student", "content": "Oh no", "session_id": 6824, "sequence_id": 245, "annotations": []}
{"role": "volunteer", "content": "And how do you know it's an angle side angle?", "session_id": 6824, "sequence_id": 246, "annotations": []}
{"role": "student", "content": "Because I see that this, right? This is the ankle and then we move on to side and then side and then ankle.", "session_id": 6824, "sequence_id": 247, "annotations": []}
{"role": "volunteer", "content": "Oh, we have to find that the other angle is equal. We don't know that yet.", "session_id": 6824, "sequence_id": 248, "annotations": []}
{"role": "student", "content": "So it's not", "session_id": 6824, "sequence_id": 249, "annotations": []}
{"role": "student", "content": "angle side angle. That's what you're saying.", "session_id": 6824, "sequence_id": 250, "annotations": []}
{"role": "volunteer", "content": "No", "session_id": 6824, "sequence_id": 251, "annotations": []}
{"role": "volunteer", "content": "no, no, I'm saying it could be angle side angle. We just don't know yet.", "session_id": 6824, "sequence_id": 252, "annotations": []}
{"role": "volunteer", "content": "We haven't found that the other angle is equal. See, we have angle side. We don't have that the other angle angle is equal yet.", "session_id": 6824, "sequence_id": 253, "annotations": []}
{"role": "student", "content": "So I don't know what to do.", "session_id": 6824, "sequence_id": 254, "annotations": []}
{"role": "volunteer", "content": "Yeah, so,", "session_id": 6824, "sequence_id": 255, "annotations": []}
{"role": "volunteer", "content": "wait, do you know the names for like the, you know, like vertical angles.", "session_id": 6824, "sequence_id": 256, "annotations": []}
{"role": "student", "content": "Yeah, vertical angle serum.", "session_id": 6824, "sequence_id": 257, "annotations": []}
{"role": "volunteer", "content": "Yeah, so because of vertical angles. Let me change the color.", "session_id": 6824, "sequence_id": 258, "annotations": []}
{"role": "student", "content": "So GK so GK J and then H K I.", "session_id": 6824, "sequence_id": 259, "annotations": []}
{"role": "volunteer", "content": "Yeah, yeah, yeah. So those are equal, but those are still not part of the triangle, right?", "session_id": 6824, "sequence_id": 260, "annotations": []}
{"role": "student", "content": "Mm", "session_id": 6824, "sequence_id": 261, "annotations": []}
{"role": "volunteer", "content": "We have to find.", "session_id": 6824, "sequence_id": 262, "annotations": []}
{"role": "volunteer", "content": "Let me think for one quick second.", "session_id": 6824, "sequence_id": 263, "annotations": []}
{"role": "volunteer", "content": "this.", "session_id": 6824, "sequence_id": 264, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 6824, "sequence_id": 265, "annotations": []}
{"role": "volunteer", "content": "Oh, jump through so hard.", "session_id": 6824, "sequence_id": 266, "annotations": []}
{"role": "student", "content": "All my friends got 5s on the test. I don't know how.", "session_id": 6824, "sequence_id": 267, "annotations": []}
{"role": "volunteer", "content": "A 5 on a geometry test.", "session_id": 6824, "sequence_id": 268, "annotations": []}
{"role": "student", "content": "Yeah, almost everyone in my school got a 5.", "session_id": 6824, "sequence_id": 269, "annotations": []}
{"role": "volunteer", "content": "5 out of what", "session_id": 6824, "sequence_id": 270, "annotations": []}
{"role": "student", "content": "5 out of 5", "session_id": 6824, "sequence_id": 271, "annotations": []}
{"role": "volunteer", "content": "Oh", "session_id": 6824, "sequence_id": 272, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 6824, "sequence_id": 273, "annotations": []}
{"role": "student", "content": "And you know that I told them that they could like tutor me, right? They were like, I don't know anything. I just prayed. That's good advice, right?", "session_id": 6824, "sequence_id": 274, "annotations": []}
{"role": "volunteer", "content": "Um, well, when you don't, when it's hard, I guess.", "session_id": 6824, "sequence_id": 275, "annotations": []}
{"role": "volunteer", "content": "Oh, H, O, OK, I see. OK.", "session_id": 6824, "sequence_id": 276, "annotations": []}
{"role": "volunteer", "content": "So", "session_id": 6824, "sequence_id": 277, "annotations": []}
{"role": "volunteer", "content": "yeah, OK. So we have the this angle. Well, let me change the card.", "session_id": 6824, "sequence_id": 278, "annotations": []}
{"role": "volunteer", "content": "Wait, yeah, this is getting really confusing. Let me change them. Do you want me to erase a lot of this?", "session_id": 6824, "sequence_id": 279, "annotations": []}
{"role": "student", "content": "Yes, you know, I feel like you have a European accent.", "session_id": 6824, "sequence_id": 280, "annotations": [{"pii_type": "NRP", "surrogate": "European", "start": 38, "end": 46}]}
{"role": "volunteer", "content": "Really?", "session_id": 6824, "sequence_id": 281, "annotations": []}
{"role": "volunteer", "content": "Oh OK", "session_id": 6824, "sequence_id": 282, "annotations": []}
{"role": "volunteer", "content": "Does that make it a little better", "session_id": 6824, "sequence_id": 283, "annotations": []}
{"role": "student", "content": "What do you mean", "session_id": 6824, "sequence_id": 284, "annotations": []}
{"role": "volunteer", "content": "Like iris a lot of it, so there's less stuff.", "session_id": 6824, "sequence_id": 285, "annotations": []}
{"role": "student", "content": "Yeah, more organized.", "session_id": 6824, "sequence_id": 286, "annotations": []}
{"role": "volunteer", "content": "Yeah, OK, so let's just go back, so, so we have this angle, this angle, this side, right?", "session_id": 6824, "sequence_id": 287, "annotations": []}
{"role": "student", "content": "I see the little three dots, so that's showing us, no", "session_id": 6824, "sequence_id": 288, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 6824, "sequence_id": 289, "annotations": []}
{"role": "student", "content": "those are the angle, so we have 3 angles, so we're missing like one more side, I guess.", "session_id": 6824, "sequence_id": 290, "annotations": []}
{"role": "volunteer", "content": "No, no, no, no, you are mixing up the triangle. See, look, this angle", "session_id": 6824, "sequence_id": 291, "annotations": []}
{"role": "volunteer", "content": "is part of this triangle, you get that? Only this thing was part of that time.", "session_id": 6824, "sequence_id": 292, "annotations": []}
{"role": "student", "content": "We also, yeah, yeah, I get it, I get it.", "session_id": 6824, "sequence_id": 293, "annotations": []}
{"role": "volunteer", "content": "And then this triangle.", "session_id": 6824, "sequence_id": 294, "annotations": []}
{"role": "student", "content": "Mhm.", "session_id": 6824, "sequence_id": 295, "annotations": []}
{"role": "volunteer", "content": "has this angle, you got that?", "session_id": 6824, "sequence_id": 296, "annotations": []}
{"role": "student", "content": "mhm", "session_id": 6824, "sequence_id": 297, "annotations": []}
{"role": "volunteer", "content": "Yes. So we have one side of each triangle, and we had one angle of each triangle, you get that?", "session_id": 6824, "sequence_id": 298, "annotations": []}
{"role": "student", "content": "OK, yeah, yeah", "session_id": 6824, "sequence_id": 299, "annotations": []}
{"role": "volunteer", "content": "Now", "session_id": 6824, "sequence_id": 300, "annotations": []}
{"role": "volunteer", "content": "to find another angle, let's do that.", "session_id": 6824, "sequence_id": 301, "annotations": []}
{"role": "volunteer", "content": "So we know because of like this stuff that's given, uh, uh, yeah", "session_id": 6824, "sequence_id": 302, "annotations": []}
{"role": "volunteer", "content": "equals HDI, right?", "session_id": 6824, "sequence_id": 303, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 6824, "sequence_id": 304, "annotations": []}
{"role": "volunteer", "content": "Yeah, and we know that GHJ equals HJI right?", "session_id": 6824, "sequence_id": 305, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 6824, "sequence_id": 306, "annotations": []}
{"role": "volunteer", "content": "Yes. So that means this angle.", "session_id": 6824, "sequence_id": 307, "annotations": []}
{"role": "volunteer", "content": "equals this angle, OK? So we know that uh angle I J are equal, right?", "session_id": 6824, "sequence_id": 308, "annotations": []}
{"role": "student", "content": "Yeah.", "session_id": 6824, "sequence_id": 309, "annotations": []}
{"role": "volunteer", "content": "So", "session_id": 6824, "sequence_id": 310, "annotations": []}
{"role": "volunteer", "content": "if", "session_id": 6824, "sequence_id": 311, "annotations": []}
{"role": "volunteer", "content": "let me change the color. So if this angle equals this angle", "session_id": 6824, "sequence_id": 312, "annotations": []}
{"role": "volunteer", "content": "and this angle equals this angle and this angle equals this angle. We know that they're all equal, right?", "session_id": 6824, "sequence_id": 313, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 6824, "sequence_id": 314, "annotations": []}
{"role": "volunteer", "content": "Yes, so all of these angles.", "session_id": 6824, "sequence_id": 315, "annotations": []}
{"role": "volunteer", "content": "are equal, OK?", "session_id": 6824, "sequence_id": 316, "annotations": []}
{"role": "volunteer", "content": "Great.", "session_id": 6824, "sequence_id": 317, "annotations": []}
{"role": "volunteer", "content": "Now, what else?", "session_id": 6824, "sequence_id": 318, "annotations": []}
{"role": "volunteer", "content": "do we need to know?", "session_id": 6824, "sequence_id": 319, "annotations": []}
{"role": "student", "content": "Mm", "session_id": 6824, "sequence_id": 320, "annotations": []}
{"role": "volunteer", "content": "about just", "session_id": 6824, "sequence_id": 321, "annotations": []}
{"role": "student", "content": "This is vertical angletherm, right?", "session_id": 6824, "sequence_id": 322, "annotations": []}
{"role": "volunteer", "content": "the vertical", "session_id": 6824, "sequence_id": 323, "annotations": []}
{"role": "volunteer", "content": "angles", "session_id": 6824, "sequence_id": 324, "annotations": []}
{"role": "volunteer", "content": "would not really help you here.", "session_id": 6824, "sequence_id": 325, "annotations": []}
{"role": "student", "content": "Since that time you were talking about vertical angles, so that's why I was asking.", "session_id": 6824, "sequence_id": 326, "annotations": []}
{"role": "volunteer", "content": "Oh, I was, I was just asking if you knew that cause that's also a key concept.", "session_id": 6824, "sequence_id": 327, "annotations": []}
{"role": "student", "content": "So do you know the answer for this?", "session_id": 6824, "sequence_id": 328, "annotations": []}
{"role": "volunteer", "content": "No, I did for a second, but then I just forgot. Give me one more second.", "session_id": 6824, "sequence_id": 329, "annotations": []}
{"role": "student", "content": "You should use AI", "session_id": 6824, "sequence_id": 330, "annotations": []}
{"role": "volunteer", "content": "I", "session_id": 6824, "sequence_id": 331, "annotations": []}
{"role": "student", "content": "Hey, look.", "session_id": 6824, "sequence_id": 332, "annotations": []}
{"role": "volunteer", "content": "I forgot when I was talking to him.", "session_id": 6824, "sequence_id": 333, "annotations": []}
{"role": "student", "content": "Can you hear me eating", "session_id": 6824, "sequence_id": 334, "annotations": []}
{"role": "student", "content": "No, right", "session_id": 6824, "sequence_id": 335, "annotations": []}
{"role": "volunteer", "content": "No, no, it's OK.", "session_id": 6824, "sequence_id": 336, "annotations": []}
{"role": "student", "content": "But can you hear me", "session_id": 6824, "sequence_id": 337, "annotations": []}
{"role": "volunteer", "content": "Yeah, I can hear you talking, but I hear like a bunch of like", "session_id": 6824, "sequence_id": 338, "annotations": []}
{"role": "volunteer", "content": "noises", "session_id": 6824, "sequence_id": 339, "annotations": []}
{"role": "student", "content": "Dogs.", "session_id": 6824, "sequence_id": 340, "annotations": []}
{"role": "student", "content": "Do you want chicken.", "session_id": 6824, "sequence_id": 341, "annotations": []}
{"role": "volunteer", "content": "Oh, this is OK. Yeah, do you see how they've given us a", "session_id": 6824, "sequence_id": 342, "annotations": []}
{"role": "volunteer", "content": "GI equals HJ.", "session_id": 6824, "sequence_id": 343, "annotations": []}
{"role": "volunteer", "content": "It was just a kid", "session_id": 6824, "sequence_id": 344, "annotations": []}
{"role": "student", "content": "Yeah, yeah, uh-huh, yeah.", "session_id": 6824, "sequence_id": 345, "annotations": []}
{"role": "volunteer", "content": "um", "session_id": 6824, "sequence_id": 346, "annotations": []}
{"role": "student", "content": "Oh, so I was, you just have to see, oh, I see.", "session_id": 6824, "sequence_id": 347, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 6824, "sequence_id": 348, "annotations": []}
{"role": "volunteer", "content": "Yeah, see, so we've got this side, this side. So we've got", "session_id": 6824, "sequence_id": 349, "annotations": []}
{"role": "student", "content": "Mhm", "session_id": 6824, "sequence_id": 350, "annotations": []}
{"role": "volunteer", "content": "uh, we've got angle here.", "session_id": 6824, "sequence_id": 351, "annotations": []}
{"role": "student", "content": "Sorry.", "session_id": 6824, "sequence_id": 352, "annotations": []}
{"role": "volunteer", "content": "the side here", "session_id": 6824, "sequence_id": 353, "annotations": []}
{"role": "student", "content": "Yeah, so yeah", "session_id": 6824, "sequence_id": 354, "annotations": []}
{"role": "volunteer", "content": "You got angle here. So we got side angle, angle. No, no no no, side.", "session_id": 6824, "sequence_id": 355, "annotations": []}
{"role": "student", "content": "You see, I", "session_id": 6824, "sequence_id": 356, "annotations": []}
{"role": "volunteer", "content": "side angle side.", "session_id": 6824, "sequence_id": 357, "annotations": []}
{"role": "student", "content": "No, OK.", "session_id": 6824, "sequence_id": 358, "annotations": []}
{"role": "volunteer", "content": "OK, and we got", "session_id": 6824, "sequence_id": 359, "annotations": []}
{"role": "volunteer", "content": "slide angle side. You got that?", "session_id": 6824, "sequence_id": 360, "annotations": []}
{"role": "student", "content": "Side, angle, side", "session_id": 6824, "sequence_id": 361, "annotations": []}
{"role": "volunteer", "content": "Yeah, so because the side angle, side, both triangles are congruent.", "session_id": 6824, "sequence_id": 362, "annotations": []}
{"role": "student", "content": "Then we want Para. Let's go.", "session_id": 6824, "sequence_id": 363, "annotations": []}
{"role": "student", "content": "Uh uh", "session_id": 6824, "sequence_id": 364, "annotations": []}
{"role": "volunteer", "content": "You get it", "session_id": 6824, "sequence_id": 365, "annotations": []}
{"role": "student", "content": "Yeah, OK. Now, what I prefer my statement number 9. Let's go.", "session_id": 6824, "sequence_id": 366, "annotations": []}
{"role": "student", "content": "Woohoo.", "session_id": 6824, "sequence_id": 367, "annotations": []}
{"role": "volunteer", "content": "OK, see, that's the thing, there's a lot more lines, like you haven't, you see all that angle stuff we were doing.", "session_id": 6824, "sequence_id": 368, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 6824, "sequence_id": 369, "annotations": []}
{"role": "volunteer", "content": "You have to like put that into, like, each line.", "session_id": 6824, "sequence_id": 370, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 6824, "sequence_id": 371, "annotations": []}
{"role": "volunteer", "content": "to look like", "session_id": 6824, "sequence_id": 372, "annotations": []}
{"role": "volunteer", "content": "yeah", "session_id": 6824, "sequence_id": 373, "annotations": []}
{"role": "volunteer", "content": "So there's gonna be a lot more lines than just one.", "session_id": 6824, "sequence_id": 374, "annotations": []}
{"role": "student", "content": "Stop", "session_id": 6824, "sequence_id": 375, "annotations": []}
{"role": "student", "content": "What?", "session_id": 6824, "sequence_id": 376, "annotations": []}
{"role": "student", "content": "I", "session_id": 6824, "sequence_id": 377, "annotations": []}
{"role": "student", "content": "say it", "session_id": 6824, "sequence_id": 378, "annotations": []}
{"role": "volunteer", "content": "Hello", "session_id": 6824, "sequence_id": 379, "annotations": []}
{"role": "student", "content": "Hello", "session_id": 6824, "sequence_id": 380, "annotations": []}
{"role": "volunteer", "content": "Yeah, so there's gonna be a lot more lines than just one.", "session_id": 6824, "sequence_id": 381, "annotations": []}
{"role": "student", "content": "It's, it's gone", "session_id": 6824, "sequence_id": 382, "annotations": []}
{"role": "student", "content": "So this is the side angle side, right?", "session_id": 6824, "sequence_id": 383, "annotations": []}
{"role": "volunteer", "content": "It is side angle, side, but you can't just put that in statement 9.", "session_id": 6824, "sequence_id": 384, "annotations": []}
{"role": "student", "content": "Why", "session_id": 6824, "sequence_id": 385, "annotations": []}
{"role": "volunteer", "content": "because we don't, we, we, what we just did, you have to like show that in each statement. Like you have to say, uh,", "session_id": 6824, "sequence_id": 386, "annotations": []}
{"role": "volunteer", "content": "OK.", "session_id": 6824, "sequence_id": 387, "annotations": []}
{"role": "student", "content": "So basically a statement we got to put the actual like equation or something, right?", "session_id": 6824, "sequence_id": 388, "annotations": []}
{"role": "volunteer", "content": "OK, wait, um, OK, they gave us a site", "session_id": 6824, "sequence_id": 389, "annotations": []}
{"role": "volunteer", "content": "gave us the angle", "session_id": 6824, "sequence_id": 390, "annotations": []}
{"role": "student", "content": "No, I want Cheetos. No, that's, let's go.", "session_id": 6824, "sequence_id": 391, "annotations": []}
{"role": "student", "content": "Be here", "session_id": 6824, "sequence_id": 392, "annotations": []}
{"role": "student", "content": "Street", "session_id": 6824, "sequence_id": 393, "annotations": []}
{"role": "student", "content": "I", "session_id": 6824, "sequence_id": 394, "annotations": []}
{"role": "student", "content": "oh.", "session_id": 6824, "sequence_id": 395, "annotations": []}
{"role": "volunteer", "content": "OK, yeah, you can. OK, they gave us everything, so just in statement 9, you would just have to put that the triangles are congruent.", "session_id": 6824, "sequence_id": 396, "annotations": []}
{"role": "student", "content": "OK, so in semen I, I will put, wait.", "session_id": 6824, "sequence_id": 397, "annotations": []}
{"role": "student", "content": "OK, that's lovely.", "session_id": 6824, "sequence_id": 398, "annotations": []}
{"role": "student", "content": "Why is she? You know what? I just want to do, play Roblox. Come on.", "session_id": 6824, "sequence_id": 399, "annotations": []}
{"role": "student", "content": "OK", "session_id": 6824, "sequence_id": 400, "annotations": []}
{"role": "student", "content": "OK, so number 9 is side angle side. Can you hear me?", "session_id": 6824, "sequence_id": 401, "annotations": []}
{"role": "volunteer", "content": "Yeah, I can hear you", "session_id": 6824, "sequence_id": 402, "annotations": []}
{"role": "student", "content": "Do you know where Sarah is?", "session_id": 6824, "sequence_id": 403, "annotations": [{"pii_type": "PERSON", "surrogate": "Sarah", "start": 18, "end": 23}]}
{"role": "volunteer", "content": "Yes, but we're doing geometry right now.", "session_id": 6824, "sequence_id": 404, "annotations": []}
{"role": "student", "content": "Do you know who John is", "session_id": 6824, "sequence_id": 405, "annotations": []}
{"role": "volunteer", "content": "Uh no", "session_id": 6824, "sequence_id": 406, "annotations": []}
{"role": "volunteer", "content": "So, are you good or?", "session_id": 6824, "sequence_id": 407, "annotations": []}
{"role": "student", "content": "What is number 9", "session_id": 6824, "sequence_id": 408, "annotations": []}
{"role": "student", "content": "Like the statement that's, I'm sorry, but I don't care with the statements I filling them in, that's like the death of me.", "session_id": 6824, "sequence_id": 409, "annotations": []}
{"role": "volunteer", "content": "So we're trying to find the triangles are equal, so the statements that the triangles are equal, and the reasons why.", "session_id": 6824, "sequence_id": 410, "annotations": []}
{"role": "student", "content": "So what would I feel?", "session_id": 6824, "sequence_id": 411, "annotations": []}
{"role": "student", "content": "Cause, cause like, I know how to do this. I felt like not blame the man, but like I know how to get that answer, but like when it comes to feeling and like the stamens, you see the letters letters like, uh, I can't like I literally forgot how when you how how SAS statement looks like.", "session_id": 6824, "sequence_id": 412, "annotations": []}
{"role": "volunteer", "content": "You just gotta go step, it's just.", "session_id": 6824, "sequence_id": 413, "annotations": []}
{"role": "student", "content": "Wait, wait, wait, don't we put HIJ congruent to G J I S S A S.", "session_id": 6824, "sequence_id": 414, "annotations": []}
{"role": "volunteer", "content": "Exactly, yeah, triangle.", "session_id": 6824, "sequence_id": 415, "annotations": []}
{"role": "student", "content": "Yes, you see, I got it. Don't play, OK.", "session_id": 6824, "sequence_id": 416, "annotations": []}
{"role": "student", "content": "Prince anglo", "session_id": 6824, "sequence_id": 417, "annotations": []}
{"role": "student", "content": "I'm using that big brain. Wait.", "session_id": 6824, "sequence_id": 418, "annotations": []}
{"role": "student", "content": "OK. OK, so I basically put, put, um Triangle HIJ come to GJI.", "session_id": 6824, "sequence_id": 419, "annotations": []}
{"role": "volunteer", "content": "Yup", "session_id": 6824, "sequence_id": 420, "annotations": []}
{"role": "student", "content": "Let's see if you're right", "session_id": 6824, "sequence_id": 421, "annotations": []}
{"role": "student", "content": "Wow", "session_id": 6824, "sequence_id": 422, "annotations": []}
{"role": "volunteer", "content": "yep", "session_id": 6824, "sequence_id": 423, "annotations": []}
{"role": "student", "content": "OK. Thank you very much. You see, I learned I'm gonna, I'm gonna eat my dinner, watch a movie, and then come in to tutoring back.", "session_id": 6824, "sequence_id": 424, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 6824, "sequence_id": 425, "annotations": []}
{"role": "student", "content": "Bye", "session_id": 6824, "sequence_id": 426, "annotations": []}
{"role": "volunteer", "content": "Yeah.", "session_id": 6824, "sequence_id": 427, "annotations": []}
{"role": "student", "content": "Thank you", "session_id": 6824, "sequence_id": 428, "annotations": []}
{"role": "volunteer", "content": "Hi Alex", "session_id": 6937, "sequence_id": 0, "annotations": [{"pii_type": "PERSON", "surrogate": "Alex", "start": 3, "end": 7}]}
{"role": "student", "content": "Sorry i was doing something", "session_id": 6937, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "How can I help you today?", "session_id": 6937, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "Can you hold on", "session_id": 6937, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "Im lagging", "session_id": 6937, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "sure", "session_id": 6937, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "Now i got it", "session_id": 6937, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 6937, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "I dont think she is correct", "session_id": 6937, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "Or", "session_id": 6937, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "let me work this a little. Why don't you think she is correct", "session_id": 6937, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "We have to use gcf", "session_id": 6937, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "And she has ()", "session_id": 6937, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "We just have to say yes or no", "session_id": 6937, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "I think she is correct.  Did you try multiplying out what she did?", "session_id": 6937, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "Idk what to do", "session_id": 6937, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "Im in 6th grade", "session_id": 6937, "sequence_id": 16, "annotations": [{"pii_type": "GRADE_LEVEL", "surrogate": "6th grade", "start": 6, "end": 15}]}
{"role": "volunteer", "content": "Wow, and you are taking Algegra?", "session_id": 6937, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "*algebra", "session_id": 6937, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "This is extra work", "session_id": 6937, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "Good.", "session_id": 6937, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "Back", "session_id": 6937, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "On", "session_id": 6937, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "Topic", "session_id": 6937, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "So to multiply it out, you would take 2x^7y^2 * 6y^7  first", "session_id": 6937, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "2*6=12", "session_id": 6937, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "2 and 6 are out", "session_id": 6937, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "x^7 * 1 = x^7", "session_id": 6937, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "You could also write this as", "session_id": 6937, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "1 and x^6 are gone", "session_id": 6937, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "x^7 * x^0 since x^0 = 1", "session_id": 6937, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "I mean x^7", "session_id": 6937, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "Sorry you are right", "session_id": 6937, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "lets just move on to the the y's", "session_id": 6937, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "Ok", "session_id": 6937, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "And is no correct", "session_id": 6937, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "I see your point.", "session_id": 6937, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "The x^7 should be there and it is not", "session_id": 6937, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "So you are right, Sarah is incorrect", "session_id": 6937, "sequence_id": 38, "annotations": [{"pii_type": "PERSON", "surrogate": "Sarah", "start": 18, "end": 23}]}
{"role": "student", "content": "Yea", "session_id": 6937, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "Wait", "session_id": 6937, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "I take that back", "session_id": 6937, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "The answer key says that Sarah is not right", "session_id": 6937, "sequence_id": 42, "annotations": [{"pii_type": "PERSON", "surrogate": "Sarah", "start": 25, "end": 30}]}
{"role": "volunteer", "content": "when you multiply out the terms, the x^7 will show up", "session_id": 6937, "sequence_id": 43, "annotations": []}
{"role": "student", "content": "The () was not there in the first place", "session_id": 6937, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "So therefore I believe that she is not correct", "session_id": 6937, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "Do you understand what I just did?", "session_id": 6937, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "Y", "session_id": 6937, "sequence_id": 47, "annotations": []}
{"role": "student", "content": "E", "session_id": 6937, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "A", "session_id": 6937, "sequence_id": 49, "annotations": []}
{"role": "student", "content": "So", "session_id": 6937, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "So the first term checks out, as does the second, right?", "session_id": 6937, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 6937, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "So Sarah is right", "session_id": 6937, "sequence_id": 53, "annotations": [{"pii_type": "PERSON", "surrogate": "Sarah", "start": 3, "end": 8}]}
{"role": "student", "content": "The answer key says that she did not use gcf so she is not correct", "session_id": 6937, "sequence_id": 54, "annotations": []}
{"role": "student", "content": "And she did not fully factor it", "session_id": 6937, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "That may be.  Let's look at how else she could have factored it", "session_id": 6937, "sequence_id": 56, "annotations": []}
{"role": "student", "content": "It need to go in 10 minutes", "session_id": 6937, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 6937, "sequence_id": 58, "annotations": []}
{"role": "student", "content": "So can we end the session", "session_id": 6937, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "She could have taken out another 2", "session_id": 6937, "sequence_id": 60, "annotations": []}
{"role": "student", "content": "Ok", "session_id": 6937, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "So yes, she was incorrect.", "session_id": 6937, "sequence_id": 62, "annotations": []}
{"role": "student", "content": "Ok", "session_id": 6937, "sequence_id": 63, "annotations": []}
{"role": "student", "content": "Bye", "session_id": 6937, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "Sorry this took so long. bye", "session_id": 6937, "sequence_id": 65, "annotations": []}
{"role": "student", "content": "Hi", "session_id": 6954, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "I am just here to explore sorry about that", "session_id": 6954, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "Hello! No worries :)", "session_id": 6954, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "Feel free to ask me any questions!", "session_id": 6954, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "Ok by", "session_id": 6954, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "Thanks i have to go", "session_id": 6954, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "I will ask you questions later", "session_id": 6954, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "Alrighty! Welcome to the platform, Sarah!", "session_id": 6954, "sequence_id": 7, "annotations": [{"pii_type": "PERSON", "surrogate": "Sarah", "start": 35, "end": 40}]}
{"role": "volunteer", "content": "Have a fabulous rest of your day/night!", "session_id": 6954, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "Ok you too hope you have a great weekend", "session_id": 6954, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "Thank you :)", "session_id": 6954, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "Your welcome", "session_id": 6954, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "Ok by have to go", "session_id": 6954, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "Bye!", "session_id": 6954, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "By", "session_id": 6954, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "Hello", "session_id": 6941, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "Hey, how can i help you today?", "session_id": 6941, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "Hi", "session_id": 6941, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "I see that you want to learn something new!", "session_id": 6941, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "Me and my classmate are trying Tutor Provider", "session_id": 6941, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "So we are testing it", "session_id": 6941, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "I see", "session_id": 6941, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "Well, i am a tutor and if you have a question, ask me!", "session_id": 6941, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "So am trying to learn something new", "session_id": 6941, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "If you want to learn something new, I could teach you", "session_id": 6941, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "Okay so, i will teach you?", "session_id": 6941, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "Okay", "session_id": 6941, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "Have you done much practice with Pythagoras theorem?", "session_id": 6941, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "No", "session_id": 6941, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "Okay, so would you like to learn that?", "session_id": 6941, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "Are you there?", "session_id": 6941, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 6941, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "Okay!", "session_id": 6941, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "So basically, the first thing to know is that we can see Pythagoras theorem in right angled triangles", "session_id": 6941, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "Okay", "session_id": 6941, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "So you can see on the whiteboard, that this angle is 90 degrees", "session_id": 6941, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "Okay my teacher told me to explore this app but i got to go now.", "session_id": 6941, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "Okay!", "session_id": 6941, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "I hope you learn more about this in the future!", "session_id": 6941, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "Bye thank you for your time!", "session_id": 6941, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "Have a good day!", "session_id": 6941, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "Hey I am so sorry for ending the session!", "session_id": 7065, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "no problem", "session_id": 7065, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "It was my little brother!", "session_id": 7065, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "I need help with a upcoming quiz on Trigonometry!?", "session_id": 7065, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "is there a specific thing you want to work on in trigonometry", "session_id": 7065, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "like word problems etc", "session_id": 7065, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "Yes there is", "session_id": 7065, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "okay, can you upload it onto here?", "session_id": 7065, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "so i can help you work on it", "session_id": 7065, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "Ok", "session_id": 7065, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "that's correct nice job", "session_id": 7065, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "are you solving for theta?", "session_id": 7065, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "yes", "session_id": 7065, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "or are you just trying to write the trig functions?", "session_id": 7065, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "okay", "session_id": 7065, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "do you need some help?", "session_id": 7065, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "um if you want to help me", "session_id": 7065, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "okay so to find the angle", "session_id": 7065, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "we don't have to write a bunch of trig functions", "session_id": 7065, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "we just need one", "session_id": 7065, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "no these are apart of the problem", "session_id": 7065, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "oh okay", "session_id": 7065, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "so sin theta = 4/5", "session_id": 7065, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "cos theta =  3/5", "session_id": 7065, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "and you want to find the angle using those yes?", "session_id": 7065, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "there is one more theta", "session_id": 7065, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "sorry I have to go bye", "session_id": 7065, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "Hi Emily, how can I help you?", "session_id": 7007, "sequence_id": 0, "annotations": [{"pii_type": "PERSON", "surrogate": "Emily", "start": 3, "end": 8}]}
{"role": "student", "content": "hi i need some help on a few problems that\u2019ll help my study for tmrws test", "session_id": 7007, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "Can you post the first problem?", "session_id": 7007, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "yes it\u2019s loading", "session_id": 7007, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "What does the circled root mean?", "session_id": 7007, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "that\u2019s a zero right?", "session_id": 7007, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "but i\u2019m not sure about the ^ symbol", "session_id": 7007, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "Yes,, but the notation is confusing.", "session_id": 7007, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 7007, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "How many roots are indicated?  Remember that complex roots always come in pairs.", "session_id": 7007, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "3", "session_id": 7007, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "4", "session_id": 7007, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "I count 6 roots.  x=3 with multiplicity of 2", "session_id": 7007, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "x=3i means that x = -3i is also a root", "session_id": 7007, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "oh yeaaahhh", "session_id": 7007, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "x = 4-i means that x = 4+i is also a root", "session_id": 7007, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "right", "session_id": 7007, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "degree is at least 6?", "session_id": 7007, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "so least possible degree is 6?", "session_id": 7007, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "yes", "session_id": 7007, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "How about 16?", "session_id": 7007, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "8?", "session_id": 7007, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "I think so.", "session_id": 7007, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "okayy", "session_id": 7007, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "now these two questions", "session_id": 7007, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "What does an odd function mean?", "session_id": 7007, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "an odd function is when it\u2019s symmetric with respect to the origin so basically in (x,y) both would turn into the opposite and become (-x, -y)", "session_id": 7007, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "Close.  for odd functions, f(-x) = -f(x)", "session_id": 7007, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "f(-x)=-f(x)", "session_id": 7007, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "ohh", "session_id": 7007, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "okay", "session_id": 7007, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "In both problems f(negative numbers) are given.  The question is sketch f(positive numbers)", "session_id": 7007, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "so the points would be the same just opposite?", "session_id": 7007, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "Yes!!", "session_id": 7007, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "like (-4,2) would be (4, -2)", "session_id": 7007, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "Yes!!", "session_id": 7007, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "yayy okay then i got that", "session_id": 7007, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "and for even functions if it had a point of (-2, 5) would it be (2,5) on the positive side?", "session_id": 7007, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "Yes!!!!", "session_id": 7007, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "yayyy", "session_id": 7007, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "then i think im gooddd", "session_id": 7007, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "Can you sketch either 8 or 9?", "session_id": 7007, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "it\u2019s hard to draw on this device so i\u2019m not sure", "session_id": 7007, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "I'll draw 8, maybe", "session_id": 7007, "sequence_id": 43, "annotations": []}
{"role": "student", "content": "okay suree", "session_id": 7007, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "wait also i want to make sure my understanding on this type of problem where it asks to find the complex zeros of the polynomial and the polynomial is like f(x) = x^4 + 5x^2 -36", "session_id": 7007, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "would i use the substitute method?", "session_id": 7007, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "Yes", "session_id": 7007, "sequence_id": 47, "annotations": []}
{"role": "student", "content": "okayy", "session_id": 7007, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "Can you factor x^2+5x-36?", "session_id": 7007, "sequence_id": 49, "annotations": []}
{"role": "student", "content": "(x-9)(x+4)", "session_id": 7007, "sequence_id": 50, "annotations": []}
{"role": "student", "content": "the final zeros would be -3i, 3i, 2, and 2", "session_id": 7007, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "Good. How about the original problem?", "session_id": 7007, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "(x^2-9)(x^+4)=0", "session_id": 7007, "sequence_id": 53, "annotations": []}
{"role": "student", "content": "-3i, 3i, 2 (multiplicity 2)", "session_id": 7007, "sequence_id": 54, "annotations": []}
{"role": "student", "content": "wait", "session_id": 7007, "sequence_id": 55, "annotations": []}
{"role": "student", "content": "-2 and 2", "session_id": 7007, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "x= 3, -3, 2i, -2i", "session_id": 7007, "sequence_id": 57, "annotations": []}
{"role": "student", "content": "but isn\u2019t it a negative 9 and positive 4?", "session_id": 7007, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "(x^2-9)=0 gives x^2 = 9, x=3,-3", "session_id": 7007, "sequence_id": 59, "annotations": []}
{"role": "student", "content": "ohhh", "session_id": 7007, "sequence_id": 60, "annotations": []}
{"role": "student", "content": "i thought it turned into x^2 = -9 and x^2 = 4", "session_id": 7007, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "x^2+4=0 gives x^2 = -4", "session_id": 7007, "sequence_id": 62, "annotations": []}
{"role": "student", "content": "right", "session_id": 7007, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "OK?", "session_id": 7007, "sequence_id": 64, "annotations": []}
{"role": "student", "content": "yes got it", "session_id": 7007, "sequence_id": 65, "annotations": []}
{"role": "student", "content": "that\u2019s all", "session_id": 7007, "sequence_id": 66, "annotations": []}
{"role": "student", "content": "thank you so much", "session_id": 7007, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "Good work, Emily", "session_id": 7007, "sequence_id": 68, "annotations": [{"pii_type": "PERSON", "surrogate": "Emily", "start": 11, "end": 16}]}
{"role": "student", "content": "byee", "session_id": 7007, "sequence_id": 69, "annotations": []}
{"role": "student", "content": "Hello! I have a question about this triangle, can it be proven by the Side Angle Side theorem?", "session_id": 6960, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "let's see it", "session_id": 6960, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "I think it's more AAS", "session_id": 6960, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "Ah, I see", "session_id": 6960, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 6960, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "I marked the sides in red, who know wheter they are congruent", "session_id": 6960, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "ooh", "session_id": 6960, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "I see, thank you!", "session_id": 6960, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 6960, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "no prob", "session_id": 6960, "sequence_id": 9, "annotations": []}
{"role": "student", "content": ":)", "session_id": 6960, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "HI", "session_id": 6968, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "Hi Maya! I am David, how can I help you today?", "session_id": 6968, "sequence_id": 1, "annotations": [{"pii_type": "PERSON", "surrogate": "Maya", "start": 3, "end": 7}, {"pii_type": "PERSON", "surrogate": "David", "start": 14, "end": 19}]}
{"role": "student", "content": "im bout to display it on the board", "session_id": 6968, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "Alright!", "session_id": 6968, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "its there", "session_id": 6968, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "i tried to subtract the numbers but it wasnt right", "session_id": 6968, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "I see! Alright, so at the bottom it is showing the hundreds, tenths, and ones as separate, are you currently learning subtracting separately?", "session_id": 6968, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "i think soo", "session_id": 6968, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "Alright! So lets start with the ones", "session_id": 6968, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "but its hard to add since i cant write it on the paper", "session_id": 6968, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "Yes that I can imagine would be difficult. You can use the whiteboard space :)", "session_id": 6968, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "can you do it", "session_id": 6968, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "like write it down", "session_id": 6968, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "Yes :)", "session_id": 6968, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "so our first step is the ones. What would we do here when 6 is bigger than 3?", "session_id": 6968, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "yes", "session_id": 6968, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "So we would borrow from the tens, right?", "session_id": 6968, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "yes", "session_id": 6968, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "Alright. So 13-6=_?", "session_id": 6968, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "yes", "session_id": 6968, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "oh mb", "session_id": 6968, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "7", "session_id": 6968, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "You're alright! That is correct", "session_id": 6968, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "now 6-2?", "session_id": 6968, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "Or you could think of it as 60 - 20", "session_id": 6968, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "4", "session_id": 6968, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "which is 40", "session_id": 6968, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "Yes! And now we have 5-3 500-300", "session_id": 6968, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "200", "session_id": 6968, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "Yes! total?", "session_id": 6968, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "247", "session_id": 6968, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "Yes!", "session_id": 6968, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "Is there any other problem I can help you with? Or any questions you have about this problem?", "session_id": 6968, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "yes", "session_id": 6968, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "Alright, I am ready when you are! :)", "session_id": 6968, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "its on there", "session_id": 6968, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "Alright so, let's start the problem ourselves and see if we get the same steps.", "session_id": 6968, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "The first thing we want to do is break 436 to hundreds tens and ones. Can you do that?", "session_id": 6968, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "400 +  30 + 6", "session_id": 6968, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "Yes! So let's look at Sarah's work, does it match?", "session_id": 6968, "sequence_id": 39, "annotations": [{"pii_type": "PERSON", "surrogate": "Sarah", "start": 22, "end": 27}]}
{"role": "student", "content": "no", "session_id": 6968, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "So that would be her first error!", "session_id": 6968, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "She has hundreds in the tens spot. If we 400+130+6 what do we get?", "session_id": 6968, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "536", "session_id": 6968, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "Yes, so by seeing that we can see that she set up the problem wrong. :)", "session_id": 6968, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "nah", "session_id": 6968, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "Are there any other problems you would like help with?", "session_id": 6968, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "thats not the right answer", "session_id": 6968, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "That should be correct.", "session_id": 6968, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "Did it mark it wrong?", "session_id": 6968, "sequence_id": 49, "annotations": []}
{"role": "student", "content": "yes", "session_id": 6968, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "Oh! I apologize I didn't see the bottom question in the first picture.", "session_id": 6968, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "We still have to find the correct difference!", "session_id": 6968, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "So we would start with the ones", "session_id": 6968, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "Yes and now the tens", "session_id": 6968, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "Hi Maya, do you need a five minute break or a moment to try and solve the problem?", "session_id": 6968, "sequence_id": 55, "annotations": [{"pii_type": "PERSON", "surrogate": "Maya", "start": 3, "end": 7}]}
{"role": "volunteer", "content": "Alright Maya, if you would still like help, please make another session! I am glad I was able to help you today.", "session_id": 6968, "sequence_id": 56, "annotations": [{"pii_type": "PERSON", "surrogate": "Maya", "start": 8, "end": 12}]}
{"role": "student", "content": "Hello, I\u2019d like to redo the problems I got wrong on my test in the same order. I understand why they were incorrect and have already corrected them, but I want to practice similar problems with different numbers to make sure I fully understand them before my retake tomorrow. Here is the link to the PDF: https://example.com/document.pdf", "session_id": 7073, "sequence_id": 0, "annotations": [{"pii_type": "URL", "surrogate": "https://example.com/document.pdf", "start": 305, "end": 337}]}
{"role": "volunteer", "content": "Hello Ben! How are you doing today?", "session_id": 7073, "sequence_id": 1, "annotations": [{"pii_type": "PERSON", "surrogate": "Ben", "start": 6, "end": 9}]}
{"role": "volunteer", "content": "Unfortunately, we can not use other links. Could you please paste the problems?", "session_id": 7073, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "I'm great, thanks for asking! ^^^", "session_id": 7073, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "You can actually!", "session_id": 7073, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "Here's the proof", "session_id": 7073, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "Give me a second Ben.", "session_id": 7073, "sequence_id": 6, "annotations": [{"pii_type": "PERSON", "surrogate": "Ben", "start": 17, "end": 20}]}
{"role": "student", "content": "Ok!", "session_id": 7073, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "Are you able to access it?", "session_id": 7073, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "I am trying yo", "session_id": 7073, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "to", "session_id": 7073, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "I am unable to access your link. Could you paste the problems please?", "session_id": 7073, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "hi", "session_id": 7101, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "hi", "session_id": 7101, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "how are you doing?", "session_id": 7101, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "scale drawlings", "session_id": 7101, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "good hbu", "session_id": 7101, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "ah ok", "session_id": 7101, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "good thx", "session_id": 7101, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "i was trying to predict wht you were gon' say lol", "session_id": 7101, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "did you get it right?", "session_id": 7101, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "bc most coaches just ask what i need they barely ask how i am", "session_id": 7101, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "no lol", "session_id": 7101, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "I'm a real person, not AI :)", "session_id": 7101, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "ok scale drawlings", "session_id": 7101, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 7101, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "yea", "session_id": 7101, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "bc you said", "session_id": 7101, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "can you put the question on the board?", "session_id": 7101, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "'how are you' im supposed to say goon pal", "session_id": 7101, "sequence_id": 17, "annotations": [{"pii_type": "PERSON", "surrogate": "pal", "start": 38, "end": 41}]}
{"role": "student", "content": "i said good*", "session_id": 7101, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "and i said 'scale drawlings' lol", "session_id": 7101, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "4wait brb", "session_id": 7101, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "yes typing is not my strong suit either", "session_id": 7101, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "do you have a question you're working on?", "session_id": 7101, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "are you still there?", "session_id": 7101, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "yea wait b lil", "session_id": 7101, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "ok me back", "session_id": 7101, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 7101, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "i was grabbin tires for my dad", "session_id": 7101, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "tires? for his car?", "session_id": 7101, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "yes", "session_id": 7101, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "he has to switch his other tires for his workcar", "session_id": 7101, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "ah ok, well nice that you're helping him", "session_id": 7101, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "you ready for your question now?", "session_id": 7101, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "yea now i need help", "session_id": 7101, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "yessir", "session_id": 7101, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "ok can you put it on the board?", "session_id": 7101, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "yes", "session_id": 7101, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "is a pic ok?", "session_id": 7101, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "sure", "session_id": 7101, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "wrong one srry", "session_id": 7101, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "yea this is horriable quality lol", "session_id": 7101, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "maybe use a brighter light?", "session_id": 7101, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "or the light on your phone?", "session_id": 7101, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "no it's the camera and i don't have a phone", "session_id": 7101, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "oh ok,", "session_id": 7101, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "that's it ignore the scribble lol", "session_id": 7101, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "can you write in the numbers", "session_id": 7101, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "on the triangles", "session_id": 7101, "sequence_id": 47, "annotations": []}
{"role": "student", "content": "wdym like re-write them?", "session_id": 7101, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "is this one 12?", "session_id": 7101, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "some of them I can read but barely", "session_id": 7101, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "my eyes are not that great", "session_id": 7101, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "ok", "session_id": 7101, "sequence_id": 52, "annotations": []}
{"role": "student", "content": "thats a p btw in the left top lol", "session_id": 7101, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "ok thx", "session_id": 7101, "sequence_id": 54, "annotations": []}
{"role": "student", "content": "just imagine all those number's with m after them lol", "session_id": 7101, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "ok m for meters right", "session_id": 7101, "sequence_id": 56, "annotations": []}
{"role": "student", "content": "yea", "session_id": 7101, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 7101, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "so we are finding PN/P'N' ?", "session_id": 7101, "sequence_id": 59, "annotations": []}
{"role": "student", "content": "yea i think", "session_id": 7101, "sequence_id": 60, "annotations": []}
{"role": "student", "content": "yessir", "session_id": 7101, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "ok so they gave us the first part", "session_id": 7101, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "18/12", "session_id": 7101, "sequence_id": 63, "annotations": []}
{"role": "student", "content": "i actually did that lol", "session_id": 7101, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "ok great", "session_id": 7101, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "so now we have to simplify 18/12", "session_id": 7101, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "do you know how to do that?", "session_id": 7101, "sequence_id": 67, "annotations": []}
{"role": "student", "content": "how i do dat?", "session_id": 7101, "sequence_id": 68, "annotations": []}
{"role": "student", "content": "no", "session_id": 7101, "sequence_id": 69, "annotations": []}
{"role": "student", "content": "i think", "session_id": 7101, "sequence_id": 70, "annotations": []}
{"role": "student", "content": "maybe start off and it'll come back to me", "session_id": 7101, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "ok we have to think of a number that can divide BOTH the 18 and the 12", "session_id": 7101, "sequence_id": 72, "annotations": []}
{"role": "student", "content": "ok it came back", "session_id": 7101, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "can you think of one?", "session_id": 7101, "sequence_id": 74, "annotations": []}
{"role": "student", "content": "9x2=18", "session_id": 7101, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "yes but the number needs to be able to divide the 12 also", "session_id": 7101, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "so not the 9", "session_id": 7101, "sequence_id": 77, "annotations": []}
{"role": "student", "content": "6x3", "session_id": 7101, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "we 6 might work", "session_id": 7101, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 7101, "sequence_id": 80, "annotations": []}
{"role": "student", "content": "yea", "session_id": 7101, "sequence_id": 81, "annotations": []}
{"role": "volunteer", "content": "try dividing the top and the bottom by the 6", "session_id": 7101, "sequence_id": 82, "annotations": []}
{"role": "student", "content": "wdym?", "session_id": 7101, "sequence_id": 83, "annotations": []}
{"role": "student", "content": "top of? bottom of?", "session_id": 7101, "sequence_id": 84, "annotations": []}
{"role": "volunteer", "content": "what is 18/6 ?", "session_id": 7101, "sequence_id": 85, "annotations": []}
{"role": "student", "content": "srry if that sounded rude tw", "session_id": 7101, "sequence_id": 86, "annotations": []}
{"role": "student", "content": "btw*", "session_id": 7101, "sequence_id": 87, "annotations": []}
{"role": "volunteer", "content": "that's ok", "session_id": 7101, "sequence_id": 88, "annotations": []}
{"role": "student", "content": "3", "session_id": 7101, "sequence_id": 89, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 7101, "sequence_id": 90, "annotations": []}
{"role": "volunteer", "content": "now divide the 12 by 6", "session_id": 7101, "sequence_id": 91, "annotations": []}
{"role": "student", "content": "i had put 3 there lol", "session_id": 7101, "sequence_id": 92, "annotations": []}
{"role": "student", "content": "but i erased it", "session_id": 7101, "sequence_id": 93, "annotations": []}
{"role": "volunteer", "content": "good job, you had it right", "session_id": 7101, "sequence_id": 94, "annotations": []}
{"role": "volunteer", "content": "now what goes on the bottom?", "session_id": 7101, "sequence_id": 95, "annotations": []}
{"role": "student", "content": "2", "session_id": 7101, "sequence_id": 96, "annotations": []}
{"role": "volunteer", "content": "yes! excellent", "session_id": 7101, "sequence_id": 97, "annotations": []}
{"role": "student", "content": "one i did before this was all 2/3 lol", "session_id": 7101, "sequence_id": 98, "annotations": []}
{"role": "volunteer", "content": "so the ratio of PN/P'N' is 3/2", "session_id": 7101, "sequence_id": 99, "annotations": []}
{"role": "student", "content": "and it was similar", "session_id": 7101, "sequence_id": 100, "annotations": []}
{"role": "student", "content": "oh ok", "session_id": 7101, "sequence_id": 101, "annotations": []}
{"role": "student", "content": "now PO/p'o'", "session_id": 7101, "sequence_id": 102, "annotations": []}
{"role": "volunteer", "content": "yes, you start", "session_id": 7101, "sequence_id": 103, "annotations": []}
{"role": "volunteer", "content": "what is PO = ?", "session_id": 7101, "sequence_id": 104, "annotations": []}
{"role": "student", "content": "12 and 8 right?", "session_id": 7101, "sequence_id": 105, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 7101, "sequence_id": 106, "annotations": []}
{"role": "volunteer", "content": "so write in 12/8", "session_id": 7101, "sequence_id": 107, "annotations": []}
{"role": "student", "content": "2x6", "session_id": 7101, "sequence_id": 108, "annotations": []}
{"role": "student", "content": "bc you can also do 2x4", "session_id": 7101, "sequence_id": 109, "annotations": []}
{"role": "student", "content": "and get 12 and 8 right?", "session_id": 7101, "sequence_id": 110, "annotations": []}
{"role": "volunteer", "content": "slow down a bit", "session_id": 7101, "sequence_id": 111, "annotations": []}
{"role": "student", "content": "oh my bad", "session_id": 7101, "sequence_id": 112, "annotations": []}
{"role": "volunteer", "content": "write in 12/8 first", "session_id": 7101, "sequence_id": 113, "annotations": []}
{"role": "volunteer", "content": "great", "session_id": 7101, "sequence_id": 114, "annotations": []}
{"role": "volunteer", "content": "now we simplify", "session_id": 7101, "sequence_id": 115, "annotations": []}
{"role": "volunteer", "content": "12 and 8 can be divided by 4", "session_id": 7101, "sequence_id": 116, "annotations": []}
{"role": "student", "content": "wait i wrote all this wanna see what i ut and just see if i had gotton it right cause so far it'sthe same thing", "session_id": 7101, "sequence_id": 117, "annotations": []}
{"role": "volunteer", "content": "let's just carry on and finish here", "session_id": 7101, "sequence_id": 118, "annotations": []}
{"role": "student", "content": "ok", "session_id": 7101, "sequence_id": 119, "annotations": []}
{"role": "volunteer", "content": "we divide the top and bottom by 4", "session_id": 7101, "sequence_id": 120, "annotations": []}
{"role": "volunteer", "content": "what is 12/4 ?", "session_id": 7101, "sequence_id": 121, "annotations": []}
{"role": "student", "content": "3", "session_id": 7101, "sequence_id": 122, "annotations": []}
{"role": "volunteer", "content": "yes!", "session_id": 7101, "sequence_id": 123, "annotations": []}
{"role": "volunteer", "content": "write it in", "session_id": 7101, "sequence_id": 124, "annotations": []}
{"role": "student", "content": "8/4=2", "session_id": 7101, "sequence_id": 125, "annotations": []}
{"role": "volunteer", "content": "yes!", "session_id": 7101, "sequence_id": 126, "annotations": []}
{"role": "volunteer", "content": "so they have the same ratio right?", "session_id": 7101, "sequence_id": 127, "annotations": []}
{"role": "student", "content": "yessir", "session_id": 7101, "sequence_id": 128, "annotations": []}
{"role": "volunteer", "content": "great!", "session_id": 7101, "sequence_id": 129, "annotations": []}
{"role": "volunteer", "content": "but now for NO and N'O'", "session_id": 7101, "sequence_id": 130, "annotations": []}
{"role": "volunteer", "content": "let's see if they have the same ratio", "session_id": 7101, "sequence_id": 131, "annotations": []}
{"role": "volunteer", "content": "what is NO N'O' ?", "session_id": 7101, "sequence_id": 132, "annotations": []}
{"role": "student", "content": "12 and 10", "session_id": 7101, "sequence_id": 133, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 7101, "sequence_id": 134, "annotations": []}
{"role": "volunteer", "content": "write it in", "session_id": 7101, "sequence_id": 135, "annotations": []}
{"role": "volunteer", "content": "thanks", "session_id": 7101, "sequence_id": 136, "annotations": []}
{"role": "student", "content": "2x6=12", "session_id": 7101, "sequence_id": 137, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 7101, "sequence_id": 138, "annotations": []}
{"role": "volunteer", "content": "so we can divide the 12 by 2", "session_id": 7101, "sequence_id": 139, "annotations": []}
{"role": "student", "content": "6", "session_id": 7101, "sequence_id": 140, "annotations": []}
{"role": "volunteer", "content": "yes we get 6", "session_id": 7101, "sequence_id": 141, "annotations": []}
{"role": "volunteer", "content": "can we divide 10 by 2 ?", "session_id": 7101, "sequence_id": 142, "annotations": []}
{"role": "student", "content": "yes 5", "session_id": 7101, "sequence_id": 143, "annotations": []}
{"role": "volunteer", "content": "yes!", "session_id": 7101, "sequence_id": 144, "annotations": []}
{"role": "volunteer", "content": "write those numbers in", "session_id": 7101, "sequence_id": 145, "annotations": []}
{"role": "student", "content": "2 and 5", "session_id": 7101, "sequence_id": 146, "annotations": []}
{"role": "student", "content": "?", "session_id": 7101, "sequence_id": 147, "annotations": []}
{"role": "volunteer", "content": "6 and 5", "session_id": 7101, "sequence_id": 148, "annotations": []}
{"role": "volunteer", "content": "great!", "session_id": 7101, "sequence_id": 149, "annotations": []}
{"role": "volunteer", "content": "so 6/5 is not the same as 3/2", "session_id": 7101, "sequence_id": 150, "annotations": []}
{"role": "student", "content": "they would be not similar", "session_id": 7101, "sequence_id": 151, "annotations": []}
{"role": "student", "content": "right?", "session_id": 7101, "sequence_id": 152, "annotations": []}
{"role": "volunteer", "content": "right! the triangles are not similar", "session_id": 7101, "sequence_id": 153, "annotations": []}
{"role": "volunteer", "content": "ALL 3 sides need to have the same ratio ro be similar", "session_id": 7101, "sequence_id": 154, "annotations": []}
{"role": "student", "content": "oooh", "session_id": 7101, "sequence_id": 155, "annotations": []}
{"role": "student", "content": "ok", "session_id": 7101, "sequence_id": 156, "annotations": []}
{"role": "volunteer", "content": "good work!", "session_id": 7101, "sequence_id": 157, "annotations": []}
{"role": "student", "content": "thxs", "session_id": 7101, "sequence_id": 158, "annotations": []}
{"role": "student", "content": "good teaching", "session_id": 7101, "sequence_id": 159, "annotations": []}
{"role": "volunteer", "content": "thanks", "session_id": 7101, "sequence_id": 160, "annotations": []}
{"role": "volunteer", "content": "have a good day!", "session_id": 7101, "sequence_id": 161, "annotations": []}
{"role": "student", "content": "you too", "session_id": 7101, "sequence_id": 162, "annotations": []}
{"role": "volunteer", "content": "thanks", "session_id": 7101, "sequence_id": 163, "annotations": []}
{"role": "student", "content": "bye", "session_id": 7101, "sequence_id": 164, "annotations": []}
{"role": "volunteer", "content": "bye", "session_id": 7101, "sequence_id": 165, "annotations": []}
{"role": "student", "content": "bye", "session_id": 7101, "sequence_id": 166, "annotations": []}
{"role": "volunteer", "content": "HI Jamie! What do you need help with? Do you have a specific problem that you would like me to help you with?", "session_id": 7161, "sequence_id": 0, "annotations": [{"pii_type": "PERSON", "surrogate": "Jamie", "start": 3, "end": 8}]}
{"role": "student", "content": "No but I am having trouble understanding how to multiply integers:(", "session_id": 7161, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "Okay! Do you have an example problem or would you like me to come up with one?", "session_id": 7161, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "I do not have one on the top of my head can you please make one up :)", "session_id": 7161, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "yes! i will put some example problems on the white board and you can try to solve them.", "session_id": 7161, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "Ok", "session_id": 7161, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "Just let me know if you are stuck", "session_id": 7161, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "Okay lets start with these", "session_id": 7161, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "I don\u2019t know the last one :(", "session_id": 7161, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "Thats okay, do you know what 8 x 8 is?", "session_id": 7161, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "\u2026no", "session_id": 7161, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "Its 64!", "session_id": 7161, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "Oh", "session_id": 7161, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "Thats okay,  that was a tricky one", "session_id": 7161, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "But all the rest you got right! good job", "session_id": 7161, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "Lets do some more", "session_id": 7161, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "Ok", "session_id": 7161, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "BRB got to go to the bathroom wnt take long", "session_id": 7161, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "Okay", "session_id": 7161, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "IM BACK :)", "session_id": 7161, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "welcome back :-)", "session_id": 7161, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "Is 8x4 32???", "session_id": 7161, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "yes! good job", "session_id": 7161, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "Thanks", "session_id": 7161, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "Is the first one for (-3)(-7) does that say +29?", "session_id": 7161, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "Yea", "session_id": 7161, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "I messed up on the writing", "session_id": 7161, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "Oh okay, that one should be 21", "session_id": 7161, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "Oh\u2026", "session_id": 7161, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "But you did get the positive sign for the integer! So you do understand that part", "session_id": 7161, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "Good job! The rest are right", "session_id": 7161, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "Ok :-)", "session_id": 7161, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "So you do understand that a negative times a negative is always positive, and a positive times a negative is always going to be negative?", "session_id": 7161, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "I think so", "session_id": 7161, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "Great! I think I would just suggest you to work on memorizing your multiplication tables! That would help you the most since you seem to understand the rules for multiplying integers! Its just the number that is where it seems to go wrong! :-)", "session_id": 7161, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "Ok will do ;-)", "session_id": 7161, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "Did you want me to help with anything else? like with multiplication tables? or did you want to just practice that on your own?", "session_id": 7161, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "I think im good for now thx", "session_id": 7161, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "Okay! No problem! I hope I could help", "session_id": 7161, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "THX FOR DA HELP", "session_id": 7161, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "Do you feel more confident in multiplying integers now?", "session_id": 7161, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "Yea", "session_id": 7161, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "Great i am happy to hear!! And No problem it was my pleasure! :D", "session_id": 7161, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "BYE", "session_id": 7161, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "Bye bye!", "session_id": 7161, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "I need help understanding what to do in questions 18 and 19", "session_id": 7164, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "Hi Jamie, let's explore this.", "session_id": 7164, "sequence_id": 1, "annotations": [{"pii_type": "PERSON", "surrogate": "Jamie", "start": 3, "end": 8}]}
{"role": "student", "content": "I dont get why they put the angle numbers", "session_id": 7164, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "degree*", "session_id": 7164, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "Do you want to start with #18 or 19?", "session_id": 7164, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "18 please", "session_id": 7164, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "The angle is described as cos = root 5/3 in quadrant II", "session_id": 7164, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "In quadrant II, what are the signs of cos and sin?", "session_id": 7164, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "neg cos pos sin", "session_id": 7164, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "Yes!! and cos is defined as adjacent/hyp, yes?", "session_id": 7164, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "yes", "session_id": 7164, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "So cos is neg and cos - adj/hyp?", "session_id": 7164, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "cos = adj/hyp", "session_id": 7164, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "yes", "session_id": 7164, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "Question is sin =?", "session_id": 7164, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "opposite/hyp", "session_id": 7164, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "What do we know about the relationship between sin and cos?", "session_id": 7164, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "they both have the hyp in the denominator", "session_id": 7164, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "Yes, what about numerically?", "session_id": 7164, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "i dont know", "session_id": 7164, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "does it have to do with the unit circle", "session_id": 7164, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "yes, How about sin^2 + cos^2?", "session_id": 7164, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "Have you learned that?", "session_id": 7164, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "no i havent", "session_id": 7164, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "sin^2+cos^2 = 1?", "session_id": 7164, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "For any angle", "session_id": 7164, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "my teacher did it that way", "session_id": 7164, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "i havent seen the way you did it", "session_id": 7164, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "What do you mean by \"did it that way\"?", "session_id": 7164, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "sin^2+cos^2", "session_id": 7164, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "she hasnt taught us that method", "session_id": 7164, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "I just saw what you put on the white board....", "session_id": 7164, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "that was her key", "session_id": 7164, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "That's fine,  it works as well.", "session_id": 7164, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "We know to take the positive square root of 4 because we know that the sine is positive.", "session_id": 7164, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "yes", "session_id": 7164, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "Do you understand what your teacher did to find sin theta?", "session_id": 7164, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "yes she used soh and cah", "session_id": 7164, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "since there wasnt an opposite she used what was given to the pyth theorem and solved", "session_id": 7164, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "Yes and in the second quadrant.", "session_id": 7164, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "yes", "session_id": 7164, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "can I get help on 19 now please", "session_id": 7164, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "Yes", "session_id": 7164, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "We are given tan theta = 3 = sin/cos", "session_id": 7164, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "Shall we sketch that?", "session_id": 7164, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "In which quadrant is the angle?", "session_id": 7164, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "quadrant ll", "session_id": 7164, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "2?", "session_id": 7164, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "Angle is given as greater 180 degrees and less 270 degrees.", "session_id": 7164, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "are both signs less than?", "session_id": 7164, "sequence_id": 49, "annotations": []}
{"role": "student", "content": "180 less than theta and theta less 270 degrees", "session_id": 7164, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "That would be read \"180 is less than theta is less 270 degrees", "session_id": 7164, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "180 degrees is less than theta, then theta is greater 180 degrees", "session_id": 7164, "sequence_id": 52, "annotations": []}
{"role": "student", "content": "yeah, no?", "session_id": 7164, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "I don't understant \"yeah, no?\"", "session_id": 7164, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "understand", "session_id": 7164, "sequence_id": 55, "annotations": []}
{"role": "student", "content": "like I agree but Im confused", "session_id": 7164, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "Do you see why the angle is as I've drawn in the diagram", "session_id": 7164, "sequence_id": 57, "annotations": []}
{"role": "student", "content": "oooh nevermind I get it now", "session_id": 7164, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "Great!!", "session_id": 7164, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "Can you label sin and cos?", "session_id": 7164, "sequence_id": 60, "annotations": []}
{"role": "student", "content": "it quadrant 3 180 degrees is less than the angle we want to find but its also less 270 degrees", "session_id": 7164, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "Sorry, I can't draw well  with a mouse. lol", "session_id": 7164, "sequence_id": 62, "annotations": []}
{"role": "student", "content": "its okay i can read it", "session_id": 7164, "sequence_id": 63, "annotations": []}
{"role": "student", "content": "to get tan it would need to be sin/cos", "session_id": 7164, "sequence_id": 64, "annotations": []}
{"role": "student", "content": "so the final answer is three", "session_id": 7164, "sequence_id": 65, "annotations": []}
{"role": "student", "content": "would it be 3/1?", "session_id": 7164, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "so, if tan = 3, sin =3 and cos = 1", "session_id": 7164, "sequence_id": 67, "annotations": []}
{"role": "student", "content": "so secant would just be 1?", "session_id": 7164, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "What is sec?", "session_id": 7164, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "sec = 1/?", "session_id": 7164, "sequence_id": 70, "annotations": []}
{"role": "student", "content": "1/1", "session_id": 7164, "sequence_id": 71, "annotations": []}
{"role": "student", "content": "right?", "session_id": 7164, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "Is sec = 1/cos?", "session_id": 7164, "sequence_id": 73, "annotations": []}
{"role": "student", "content": "no but sec is the reciprocal of cos so since cos is one wouldnt the reciprocal be 1?", "session_id": 7164, "sequence_id": 74, "annotations": []}
{"role": "volunteer", "content": "sec = 1/cos", "session_id": 7164, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "cos = -1", "session_id": 7164, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "In quadrant 3", "session_id": 7164, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "sec = -1", "session_id": 7164, "sequence_id": 78, "annotations": []}
{"role": "student", "content": "so are we looking at the points (-1,0) and (0,-1)?", "session_id": 7164, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "Yes, that was given", "session_id": 7164, "sequence_id": 80, "annotations": []}
{"role": "student", "content": "because I thought that the reciprocal was not the opposite", "session_id": 7164, "sequence_id": 81, "annotations": []}
{"role": "student", "content": "ooh okay", "session_id": 7164, "sequence_id": 82, "annotations": []}
{"role": "student", "content": "The first point (-1,0)", "session_id": 7164, "sequence_id": 83, "annotations": []}
{"role": "student", "content": "The second point is (0,-1)", "session_id": 7164, "sequence_id": 84, "annotations": []}
{"role": "volunteer", "content": "I added a negative sign to our sketch, sorry I forgot that part initially.", "session_id": 7164, "sequence_id": 85, "annotations": []}
{"role": "student", "content": "oh thats okay", "session_id": 7164, "sequence_id": 86, "annotations": []}
{"role": "volunteer", "content": "Yes, your coordinates (-1,0) are correct", "session_id": 7164, "sequence_id": 87, "annotations": []}
{"role": "volunteer", "content": "So, what is sec theta?", "session_id": 7164, "sequence_id": 88, "annotations": []}
{"role": "student", "content": "it would be -1", "session_id": 7164, "sequence_id": 89, "annotations": []}
{"role": "student", "content": "right?", "session_id": 7164, "sequence_id": 90, "annotations": []}
{"role": "volunteer", "content": "Yes!!!", "session_id": 7164, "sequence_id": 91, "annotations": []}
{"role": "student", "content": "yay", "session_id": 7164, "sequence_id": 92, "annotations": []}
{"role": "student", "content": "okay I understand this now thank you", "session_id": 7164, "sequence_id": 93, "annotations": []}
{"role": "student", "content": "have a nice evening", "session_id": 7164, "sequence_id": 94, "annotations": []}
{"role": "volunteer", "content": "Does all this make more sense now?", "session_id": 7164, "sequence_id": 95, "annotations": []}
{"role": "student", "content": "haii :)", "session_id": 7100, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "hi Alex, how can i help you?", "session_id": 7100, "sequence_id": 1, "annotations": [{"pii_type": "PERSON", "surrogate": "Alex", "start": 3, "end": 7}]}
{"role": "student", "content": "can u give me a sec", "session_id": 7100, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "yah for sure", "session_id": 7100, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "oki ill be back", "session_id": 7100, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "oki sorry im back", "session_id": 7100, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "no problem", "session_id": 7100, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "oki so im doing verbal algebraic expressions", "session_id": 7100, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "ive done this a lot but i cant seem to get it I_I", "session_id": 7100, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "no problem we both together figure it out", "session_id": 7100, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "so should i explain it Alex", "session_id": 7100, "sequence_id": 10, "annotations": [{"pii_type": "PERSON", "surrogate": "Alex", "start": 23, "end": 27}]}
{"role": "student", "content": "uh i got some questions to do together", "session_id": 7100, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "oh that's awesome", "session_id": 7100, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "oki", "session_id": 7100, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "so lets dive into it", "session_id": 7100, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "oki", "session_id": 7100, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "so lets take x as small number and y as greater number", "session_id": 7100, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "oki sounds good", "session_id": 7100, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "so i want you to read the question two times", "session_id": 7100, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "it actually helps to understand the question better", "session_id": 7100, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "oki", "session_id": 7100, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "so you read it?", "session_id": 7100, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "i mean the question", "session_id": 7100, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "yea", "session_id": 7100, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "ok so basically what i wrote is assumed x variable as smaller number", "session_id": 7100, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "and what variable do you want to name our greater number", "session_id": 7100, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "maybe y?", "session_id": 7100, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "yeah sure", "session_id": 7100, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "so in the question they said  greater of two numbers is 7 less than 6 times the smaller number", "session_id": 7100, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "so which means y is 6x-7", "session_id": 7100, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "oki", "session_id": 7100, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "so let's take this example it will improve intuition", "session_id": 7100, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "a person y is = 6times of person x -7", "session_id": 7100, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "oki", "session_id": 7100, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "now i want you to try the next line and break it into equation", "session_id": 7100, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "oki i can try", "session_id": 7100, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "how would i start it srry im confused on this part?", "session_id": 7100, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "no problem its okay lets do it together", "session_id": 7100, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "so the question said that their sum is 42", "session_id": 7100, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "oki", "session_id": 7100, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "alright which means if we add both of our smaller number x and greater number y it will be equal to 42", "session_id": 7100, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "oki", "session_id": 7100, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "should i give a example if you like to ?", "session_id": 7100, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "sure", "session_id": 7100, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "suppose you have 5 candies and i have 7 candies if we both combine them together then how many candies we both will have", "session_id": 7100, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "together", "session_id": 7100, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "oki", "session_id": 7100, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "we would have", "session_id": 7100, "sequence_id": 47, "annotations": []}
{"role": "student", "content": "12", "session_id": 7100, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "fantastic", "session_id": 7100, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "now try this on the question", "session_id": 7100, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "i think we should decode it together if you want to", "session_id": 7100, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "oki", "session_id": 7100, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "am i allowed to speak if thats ok with you", "session_id": 7100, "sequence_id": 53, "annotations": []}
{"role": "student", "content": "sure", "session_id": 7100, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "So that caution says there sum is 42.", "session_id": 7100, "sequence_id": 55, "annotations": []}
{"role": "student", "content": "oki", "session_id": 7100, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "and by their it means X and Y, because we assume that x and y", "session_id": 7100, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "are are numbers, OK? So like uh the questioner said X", "session_id": 7100, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "questioner's sum is for you, which means x + y is equal to 42.", "session_id": 7100, "sequence_id": 59, "annotations": []}
{"role": "student", "content": "oh oki", "session_id": 7100, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "So now we have two equations. All right? The first is, why is equal to 6 x minus 7.", "session_id": 7100, "sequence_id": 61, "annotations": []}
{"role": "student", "content": "oki", "session_id": 7100, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "So now we can substitute Y value in the RS second equation, I want to try it.", "session_id": 7100, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "I", "session_id": 7100, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "Oh, sorry, I want you to try it by yourself.", "session_id": 7100, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "and, if you will not be able to solve, we are here together. That's why this session is.", "session_id": 7100, "sequence_id": 66, "annotations": []}
{"role": "student", "content": "oki", "session_id": 7100, "sequence_id": 67, "annotations": []}
{"role": "student", "content": "is that right?", "session_id": 7100, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "yes it' correct", "session_id": 7100, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "great job", "session_id": 7100, "sequence_id": 70, "annotations": []}
{"role": "student", "content": "oki", "session_id": 7100, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "now i want you to try to solve this and find value of x", "session_id": 7100, "sequence_id": 72, "annotations": []}
{"role": "student", "content": "oki", "session_id": 7100, "sequence_id": 73, "annotations": []}
{"role": "student", "content": "would i add the like terms first or solve whats in the parentheses first?", "session_id": 7100, "sequence_id": 74, "annotations": []}
{"role": "volunteer", "content": "you should solve parentheses first", "session_id": 7100, "sequence_id": 75, "annotations": []}
{"role": "student", "content": "oh oki", "session_id": 7100, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "then go for like terms", "session_id": 7100, "sequence_id": 77, "annotations": []}
{"role": "student", "content": "is that right?", "session_id": 7100, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "so 6x is a variable and 7 is a number we cannot actually directly  subtract them", "session_id": 7100, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "in situation like this", "session_id": 7100, "sequence_id": 80, "annotations": []}
{"role": "student", "content": "oh oki", "session_id": 7100, "sequence_id": 81, "annotations": []}
{"role": "volunteer", "content": "we add/subtract the similar type things for example", "session_id": 7100, "sequence_id": 82, "annotations": []}
{"role": "student", "content": "oh oki", "session_id": 7100, "sequence_id": 83, "annotations": []}
{"role": "volunteer", "content": "so now try our question equation again", "session_id": 7100, "sequence_id": 84, "annotations": []}
{"role": "volunteer", "content": "firstly go through the example", "session_id": 7100, "sequence_id": 85, "annotations": []}
{"role": "student", "content": "oki", "session_id": 7100, "sequence_id": 86, "annotations": []}
{"role": "student", "content": "is that right?", "session_id": 7100, "sequence_id": 87, "annotations": []}
{"role": "volunteer", "content": "awesome", "session_id": 7100, "sequence_id": 88, "annotations": []}
{"role": "volunteer", "content": "yes it is", "session_id": 7100, "sequence_id": 89, "annotations": []}
{"role": "student", "content": "oki", "session_id": 7100, "sequence_id": 90, "annotations": []}
{"role": "volunteer", "content": "correct", "session_id": 7100, "sequence_id": 91, "annotations": []}
{"role": "volunteer", "content": "!", "session_id": 7100, "sequence_id": 92, "annotations": []}
{"role": "volunteer", "content": "so our smaller number is 7", "session_id": 7100, "sequence_id": 93, "annotations": []}
{"role": "student", "content": "oki", "session_id": 7100, "sequence_id": 94, "annotations": []}
{"role": "volunteer", "content": "now i want you to take this value into first equation y=6x-7", "session_id": 7100, "sequence_id": 95, "annotations": []}
{"role": "student", "content": "oki", "session_id": 7100, "sequence_id": 96, "annotations": []}
{"role": "volunteer", "content": "So, yes, that's all right. Uh, you got it.", "session_id": 7100, "sequence_id": 97, "annotations": []}
{"role": "volunteer", "content": "So, actually, our question is finished, but I want you to think something else. Do you see the pattern like if we put the x value", "session_id": 7100, "sequence_id": 98, "annotations": []}
{"role": "volunteer", "content": "in a sac equation and y value in the second equation, we will get 42, which is given in a question, which means somehow our coercion actually gives us answer. I mean, it already tells us the answer, but we just, it just rounds it so uh which uh confuse us. When I was young, I was also used to struggle with um Algebraic I actually.", "session_id": 7100, "sequence_id": 99, "annotations": []}
{"role": "student", "content": "oh oki", "session_id": 7100, "sequence_id": 100, "annotations": []}
{"role": "volunteer", "content": "so what's our next question''", "session_id": 7100, "sequence_id": 101, "annotations": []}
{"role": "volunteer", "content": "So whenever you face a question like this, OK? The first thing you have to do is", "session_id": 7100, "sequence_id": 102, "annotations": []}
{"role": "student", "content": "well im done for today on my math :)", "session_id": 7100, "sequence_id": 103, "annotations": []}
{"role": "volunteer", "content": "you have to read the question, OK? After reading the question, you have to break the caution in different parts, you have to like the first lens is a is 3 times less than why you have to think it, OK, so axis 3 times less than by, OK? And in the sacculent, you have to read it and like they will give you two equations. You have to go through the question like 2 or 3 times, OK? And", "session_id": 7100, "sequence_id": 104, "annotations": []}
{"role": "volunteer", "content": "you have to break it", "session_id": 7100, "sequence_id": 105, "annotations": []}
{"role": "volunteer", "content": "It will make your question easy.", "session_id": 7100, "sequence_id": 106, "annotations": []}
{"role": "student", "content": "oki", "session_id": 7100, "sequence_id": 107, "annotations": []}
{"role": "volunteer", "content": "wow awesome", "session_id": 7100, "sequence_id": 108, "annotations": []}
{"role": "volunteer", "content": "i hope you like it and sorry for aking this much time of yours", "session_id": 7100, "sequence_id": 109, "annotations": []}
{"role": "volunteer", "content": "taking*", "session_id": 7100, "sequence_id": 110, "annotations": []}
{"role": "student", "content": "oh its fine :)", "session_id": 7100, "sequence_id": 111, "annotations": []}
{"role": "volunteer", "content": "yah nice to meet you bye and you can always request for another session", "session_id": 7100, "sequence_id": 112, "annotations": []}
{"role": "student", "content": "oki bye", "session_id": 7100, "sequence_id": 113, "annotations": []}
{"role": "volunteer", "content": "hi! how can i help you?", "session_id": 7215, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "Hi, I have a quiz tomorrow on chain rule and implicit differentiation. I sort of understand it but definitely need to practice more.", "session_id": 7215, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "do you have any practice problems?", "session_id": 7215, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "i can help you through them", "session_id": 7215, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "ok", "session_id": 7215, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "one sec", "session_id": 7215, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "ok. give them a try. i'll correct you where i see mistakes, or let me know if you get stuck.", "session_id": 7215, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "ok", "session_id": 7215, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "im not sure how to determine the inside and outside", "session_id": 7215, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "i can only see y' = 6x", "session_id": 7215, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "are you writing more? i think it's going off the screen to the right.", "session_id": 7215, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "ok hang on", "session_id": 7215, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "can you see that?", "session_id": 7215, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "no", "session_id": 7215, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "ok", "session_id": 7215, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "its y = 3x^2 +2x +1", "session_id": 7215, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "and i know for chain rule you have to find the inner and outer parts of the function and multiply their derivatives but im not sure how to identify it", "session_id": 7215, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "for this one, i don't think you need the chain rule", "session_id": 7215, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "so its just 6x +2?", "session_id": 7215, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "correct", "session_id": 7215, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "we could try the next one on your list.", "session_id": 7215, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "Differentiate implicitly: x\u00b2 + y\u00b2 = 25", "session_id": 7215, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "ok perfect", "session_id": 7215, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "i dont know implicit differentiation well, could you explain it", "session_id": 7215, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "so you know that y = f(x), but you can't write y in terms of x, like here", "session_id": 7215, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "can you see my writing?", "session_id": 7215, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "yes", "session_id": 7215, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "so we differentiate both sides, keeping in mind that y = f(x)", "session_id": 7215, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "so subtract x^2?", "session_id": 7215, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "we can, but we don't need to", "session_id": 7215, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "ok", "session_id": 7215, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "what's the derivative of 25 (a constant)?", "session_id": 7215, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "it gets canceled", "session_id": 7215, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "ohhh", "session_id": 7215, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "so is it 2x +2y but then you have to divide by 2", "session_id": 7215, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "2x + 2y * y' = 0", "session_id": 7215, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "divide by 2", "session_id": 7215, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "we then get x + y * y' = 0", "session_id": 7215, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "wait why y\u2019", "session_id": 7215, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "then solve for y' and we get", "session_id": 7215, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "oh cause thats dy/dx?", "session_id": 7215, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "correct", "session_id": 7215, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "y' = dy/dx", "session_id": 7215, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "so when we solve for y' we get:\n\ny' = -x/y", "session_id": 7215, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "and that's the solution", "session_id": 7215, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "why is it over y", "session_id": 7215, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "we had x + y * y' = 0", "session_id": 7215, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "so we then solve for y'", "session_id": 7215, "sequence_id": 47, "annotations": []}
{"role": "student", "content": "rightt", "session_id": 7215, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "does that make sense?", "session_id": 7215, "sequence_id": 49, "annotations": []}
{"role": "student", "content": "a little more yeah", "session_id": 7215, "sequence_id": 50, "annotations": []}
{"role": "student", "content": "could we do this one", "session_id": 7215, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "Find dy/dx: e^y = y\u00b2 + x\u00b2", "session_id": 7215, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "yep. you want to give it a try? write just below where i wrote on the board, and i'll be able to see it think", "session_id": 7215, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "perfect, i can see it", "session_id": 7215, "sequence_id": 54, "annotations": []}
{"role": "student", "content": "im assuming theres a difference between e^y and e^x so does that mean the derivative wont be e^y", "session_id": 7215, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "it will be, but remember that y = f(x), so this is where you apply the chain rule:\n\nd/dx(e^f(x)) = e^f(x) * f'(x)", "session_id": 7215, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "does that make sense?", "session_id": 7215, "sequence_id": 57, "annotations": []}
{"role": "student", "content": "not entirely", "session_id": 7215, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "so d/dx(e^y) = e^y * y'", "session_id": 7215, "sequence_id": 59, "annotations": []}
{"role": "student", "content": "like the chain rule application", "session_id": 7215, "sequence_id": 60, "annotations": []}
{"role": "student", "content": "like how are we finding y'", "session_id": 7215, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "we'll solve for it after we take the derivative of both sides", "session_id": 7215, "sequence_id": 62, "annotations": []}
{"role": "student", "content": "cause isnt that just e^y * e^y", "session_id": 7215, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "it is not", "session_id": 7215, "sequence_id": 64, "annotations": []}
{"role": "student", "content": "wait its still d /dx", "session_id": 7215, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "y' = dy/dx", "session_id": 7215, "sequence_id": 66, "annotations": []}
{"role": "student", "content": "so its d/dx(e^y) = 2y + 2x", "session_id": 7215, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "almost, but not quite:\n\nd/dx(e^y) = 2y * y' + 2x", "session_id": 7215, "sequence_id": 68, "annotations": []}
{"role": "student", "content": "is that the same as d/dx(e^y) = (2y)d/dx + 2x", "session_id": 7215, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "when we differentiate the left side we get\n\ne^y * y' = 2y * y' + 2x", "session_id": 7215, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "almost. it's the same thing as (i added a y) :\n\nd/dx(e^y) = (2y) * dy/dx + 2x", "session_id": 7215, "sequence_id": 71, "annotations": []}
{"role": "student", "content": "what do we do from here", "session_id": 7215, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "when you differentiate the left side we get:\n\ne^y * y' = 2y * y' + 2x", "session_id": 7215, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "now we solve for y'", "session_id": 7215, "sequence_id": 74, "annotations": []}
{"role": "student", "content": "so 2y + 2x / e^y", "session_id": 7215, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "when we solve for y' we get:\n\ny' = 2x / (e^y - 2y)", "session_id": 7215, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "and that's the answer", "session_id": 7215, "sequence_id": 77, "annotations": []}
{"role": "student", "content": "because u subtract both differentiated values so theyre together", "session_id": 7215, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "exactly", "session_id": 7215, "sequence_id": 79, "annotations": []}
{"role": "student", "content": "and divide by those", "session_id": 7215, "sequence_id": 80, "annotations": []}
{"role": "volunteer", "content": "yep", "session_id": 7215, "sequence_id": 81, "annotations": []}
{"role": "student", "content": "im started to get it now", "session_id": 7215, "sequence_id": 82, "annotations": []}
{"role": "volunteer", "content": "you pull out the y' that's getting multiplied by both terms", "session_id": 7215, "sequence_id": 83, "annotations": []}
{"role": "student", "content": "ah gotcha", "session_id": 7215, "sequence_id": 84, "annotations": []}
{"role": "student", "content": "thank you for your help", "session_id": 7215, "sequence_id": 85, "annotations": []}
{"role": "volunteer", "content": "no problem! good luck on your test/quiz!", "session_id": 7215, "sequence_id": 86, "annotations": []}
{"role": "volunteer", "content": "hi", "session_id": 7261, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "hello, I have 4 homework questions I have to solve", "session_id": 7261, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "ok I can help you", "session_id": 7261, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "I really need a step by step explanation though because I have a hard time following along with math", "session_id": 7261, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "the first question is: Find the sum of the geometric series. a_1 = 43a_1 = 2752r = 4", "session_id": 7261, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "the possible answers 687, 2795, 688, 2796", "session_id": 7261, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "is it possible you could write it on the board please?", "session_id": 7261, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "cause its kinda hard to understand in on text", "session_id": 7261, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "ok so I need a second to think about, and then I can help", "session_id": 7261, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "okayy", "session_id": 7261, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "wait how is that a geometrix sequence?", "session_id": 7261, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "I have no clue, thats why I was confused", "session_id": 7261, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "I'm sorry, but to be honest I have never encountered this type of problem", "session_id": 7261, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "I think you should try and find somone else", "session_id": 7261, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "oh wait", "session_id": 7261, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "I think I might be able to do it", "session_id": 7261, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "so first lets look at 43 a_4 = 2752", "session_id": 7261, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "okayy", "session_id": 7261, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "so the equation for the geometric is a_1 * r ^ n-1", "session_id": 7261, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "I got the geometric", "session_id": 7261, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "sequence", "session_id": 7261, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "did you learn anything about finding the sum", "session_id": 7261, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "wait I remember the equation", "session_id": 7261, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "ok so the equation is", "session_id": 7261, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "lemme write it on the board", "session_id": 7261, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "I'm really lost um", "session_id": 7261, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "wait one second I'll solve it then I'll help you understand it", "session_id": 7261, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "okay", "session_id": 7261, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "I'm sorry I don't think I can explain as I might have gaps in my knowledge, I think its better if you find another tutor that can help you. Sorry", "session_id": 7261, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "okay that's alright, thank you anyways", "session_id": 7261, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "bye", "session_id": 7261, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "Hi, i think the previous session got disconnected...", "session_id": 7239, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "Yea", "session_id": 7239, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "So are you able to use your mic", "session_id": 7239, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "yeah sure, but let me know if there's background noise...", "session_id": 7239, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "Hello", "session_id": 7239, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "I think I can hear you", "session_id": 7239, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "You can", "session_id": 7239, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "OK, yeah", "session_id": 7239, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "So basically, I have a quiz on triangle chores here and I have like 9 questions if you want to go over them.", "session_id": 7239, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "OK, that's fine", "session_id": 7239, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "OK, let me pull up the first one.", "session_id": 7239, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "here.", "session_id": 7239, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "You know, I love you so.", "session_id": 7239, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "Yeah, so this is the previous question, right?", "session_id": 7239, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "Yes that one", "session_id": 7239, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "OK, so um", "session_id": 7239, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "one second", "session_id": 7239, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 7239, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "So first, I had asked you to list down the information that it gives. So first, you see that", "session_id": 7239, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "uh line segment EF is bisected segment EF bisects, deviate DB", "session_id": 7239, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "So what that tells us is that uh DM is equal to bm here.", "session_id": 7239, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "because it's been bisected and", "session_id": 7239, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "Yeah.", "session_id": 7239, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "So that's one piece of information that we can use.", "session_id": 7239, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "Then as you've said before, yes, you're right, these two are vertically opposite angles and hence they're equal.", "session_id": 7239, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "I also know that since um", "session_id": 7239, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "they bisect each other.", "session_id": 7239, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "the DB is", "session_id": 7239, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "bisex", "session_id": 7239, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "like, since EF by 6 DBMM is the midpoint.", "session_id": 7239, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "M is the midpoint of DB right?", "session_id": 7239, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "Is this a live quiz or a practice assignment btw?", "session_id": 7239, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "Um, this is a", "session_id": 7239, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "this is like a practice.", "session_id": 7239, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "for my tests. That's what my teacher gave me.", "session_id": 7239, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "Yeah, OK", "session_id": 7239, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "Uh, yeah, so,", "session_id": 7239, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "Mhm", "session_id": 7239, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "Mhm.", "session_id": 7239, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "uh we got DM is equal to bm because it's the M is a quite of DB and we know that EMB", "session_id": 7239, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "and DMF are vertically opposite and hence equal.", "session_id": 7239, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "Mhm.", "session_id": 7239, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "Now, what other information can we find from the", "session_id": 7239, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "uh, you know, diagram that they've given.", "session_id": 7239, "sequence_id": 43, "annotations": []}
{"role": "student", "content": "Um", "session_id": 7239, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "Note that CD and AB are parallel, so, and the uh BD is a transversal going through them.", "session_id": 7239, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "So", "session_id": 7239, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "so this would be", "session_id": 7239, "sequence_id": 47, "annotations": []}
{"role": "student", "content": "ASA", "session_id": 7239, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "what, what, what angles are equal?", "session_id": 7239, "sequence_id": 49, "annotations": []}
{"role": "student", "content": "for what", "session_id": 7239, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "You said ASA, right? So uh we, we only have um one angle and one side. So what we need one more angle.", "session_id": 7239, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "and that angle would be angle D and V.", "session_id": 7239, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "This one, right?", "session_id": 7239, "sequence_id": 53, "annotations": []}
{"role": "student", "content": "because it alternate interior angle.", "session_id": 7239, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 7239, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "OK. Now, another thing, so we, we've confirmed that ASA is right.", "session_id": 7239, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "Now", "session_id": 7239, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "look at, look at EF. That is also a transversal going between Ab and CD.", "session_id": 7239, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "So similarly,", "session_id": 7239, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "these two also become alternate interior angles.", "session_id": 7239, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "BEM and DSM.", "session_id": 7239, "sequence_id": 61, "annotations": []}
{"role": "student", "content": "Mhm. OK", "session_id": 7239, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "Yeah, so because of that", "session_id": 7239, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "I could also", "session_id": 7239, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "prove the same congruency through AAS by taking the angles DFM", "session_id": 7239, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "BEM, and the vertically opposite angles and the side, select.", "session_id": 7239, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "So like if I took the red, the red angle, the black angle, and the two equal sides.", "session_id": 7239, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "then this could also be proved through AS.", "session_id": 7239, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "and through ASA", "session_id": 7239, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "depending on what angles you would choose.", "session_id": 7239, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "Do you have any questions", "session_id": 7239, "sequence_id": 71, "annotations": []}
{"role": "student", "content": "Um", "session_id": 7239, "sequence_id": 72, "annotations": []}
{"role": "student", "content": "wait, so they're asking us for triangle EMB.", "session_id": 7239, "sequence_id": 73, "annotations": []}
{"role": "student", "content": "and let's see EMD and", "session_id": 7239, "sequence_id": 74, "annotations": []}
{"role": "volunteer", "content": "FMB", "session_id": 7239, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "Yeah.", "session_id": 7239, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "These ones", "session_id": 7239, "sequence_id": 77, "annotations": []}
{"role": "student", "content": "but", "session_id": 7239, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "Sorry", "session_id": 7239, "sequence_id": 79, "annotations": []}
{"role": "student", "content": "so", "session_id": 7239, "sequence_id": 80, "annotations": []}
{"role": "student", "content": "if we're talking about those two triangles. Why, why are we talking about the whole?", "session_id": 7239, "sequence_id": 81, "annotations": []}
{"role": "volunteer", "content": "What we want to prove them congruent, right?", "session_id": 7239, "sequence_id": 82, "annotations": []}
{"role": "volunteer", "content": "So they're asking what triangle congruence method will prove that.", "session_id": 7239, "sequence_id": 83, "annotations": []}
{"role": "volunteer", "content": "So", "session_id": 7239, "sequence_id": 84, "annotations": []}
{"role": "volunteer", "content": "with", "session_id": 7239, "sequence_id": 85, "annotations": []}
{"role": "volunteer", "content": "did you remove the question?", "session_id": 7239, "sequence_id": 86, "annotations": []}
{"role": "volunteer", "content": "I think the whiteboard lagged out. Can you raise the question again, please?", "session_id": 7239, "sequence_id": 87, "annotations": []}
{"role": "student", "content": "Right, um, yeah, it's like.", "session_id": 7239, "sequence_id": 88, "annotations": []}
{"role": "student", "content": "OK", "session_id": 7239, "sequence_id": 89, "annotations": []}
{"role": "student", "content": "I, I hold it up again.", "session_id": 7239, "sequence_id": 90, "annotations": []}
{"role": "volunteer", "content": "Yeah, got it", "session_id": 7239, "sequence_id": 91, "annotations": []}
{"role": "volunteer", "content": "Yeah, so we're proving basically these two triangles.", "session_id": 7239, "sequence_id": 92, "annotations": []}
{"role": "volunteer", "content": "right?", "session_id": 7239, "sequence_id": 93, "annotations": []}
{"role": "student", "content": "Mhm", "session_id": 7239, "sequence_id": 94, "annotations": []}
{"role": "volunteer", "content": "So we want to prove them congruent, so to prove two triangles congruent will generally check if their angles are equal somehow or the sides are equal right?", "session_id": 7239, "sequence_id": 95, "annotations": []}
{"role": "student", "content": "Mhm", "session_id": 7239, "sequence_id": 96, "annotations": []}
{"role": "student", "content": "So.", "session_id": 7239, "sequence_id": 97, "annotations": []}
{"role": "volunteer", "content": "So, um, what I'm gonna do, what, what we did is like, like you pointed out, the first, the vertically opposite angles.", "session_id": 7239, "sequence_id": 98, "annotations": []}
{"role": "student", "content": "I", "session_id": 7239, "sequence_id": 99, "annotations": []}
{"role": "volunteer", "content": "I can say that these two are vertically opposite, and I'm very good.", "session_id": 7239, "sequence_id": 100, "annotations": []}
{"role": "volunteer", "content": "So and then", "session_id": 7239, "sequence_id": 101, "annotations": []}
{"role": "student", "content": "Right, let me see", "session_id": 7239, "sequence_id": 102, "annotations": []}
{"role": "volunteer", "content": "EM is equal to BM.", "session_id": 7239, "sequence_id": 103, "annotations": []}
{"role": "volunteer", "content": "I know BEM", "session_id": 7239, "sequence_id": 104, "annotations": []}
{"role": "volunteer", "content": "is equal to BEM is equal to angle dfn", "session_id": 7239, "sequence_id": 105, "annotations": []}
{"role": "volunteer", "content": "because", "session_id": 7239, "sequence_id": 106, "annotations": []}
{"role": "volunteer", "content": "of alternate interior angles.", "session_id": 7239, "sequence_id": 107, "annotations": []}
{"role": "volunteer", "content": "alternate interior angle property, I can say.", "session_id": 7239, "sequence_id": 108, "annotations": []}
{"role": "volunteer", "content": "These two are equal. And then finally,", "session_id": 7239, "sequence_id": 109, "annotations": []}
{"role": "student", "content": "solve by fatoring", "session_id": 7118, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 7118, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "do you know how to do this?", "session_id": 7118, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "kinda", "session_id": 7118, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "I'm refreshing for a test", "session_id": 7118, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 7118, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "so we need to find two numbers that multiply to -18 and add to 3", "session_id": 7118, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "can you think of two?", "session_id": 7118, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "6 and -3", "session_id": 7118, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 7118, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "so know it's factored, just solve each equation in the brackets for x", "session_id": 7118, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "perfect.", "session_id": 7118, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "this is also solve by factoring", "session_id": 7118, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "so this is pretty much the same thing", "session_id": 7118, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "just first you multiply a and c", "session_id": 7118, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "so what is 3 x -5", "session_id": 7118, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "-15", "session_id": 7118, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "so now find two numbers that multiply to -15 and add to 2", "session_id": 7118, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "5 and -3", "session_id": 7118, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "good", "session_id": 7118, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "so now", "session_id": 7118, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "rewrite the equation", "session_id": 7118, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "but instead of putting 2x", "session_id": 7118, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "put 3x^2 + 5x -3x -5", "session_id": 7118, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "same thing, but change the 2x to those two numbers", "session_id": 7118, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "and now factor these two by fulling out the greatest common factor (GCF)", "session_id": 7118, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "solve by factoring", "session_id": 7118, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "ok so this is a difference of squares", "session_id": 7118, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "both numbers in the equation are perfect squares", "session_id": 7118, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "because the 25 is negative the 5s and + and -", "session_id": 7118, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "and then just solve for x", "session_id": 7118, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "okay that's it thank you", "session_id": 7118, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "bye", "session_id": 7118, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "Hello!", "session_id": 7150, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "Hi! How can I help you today?", "session_id": 7150, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "id like some help studying for a quiz i have on product rule and quotient rule for AB calc", "session_id": 7150, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "Happy to help! Would you like to go over the product rule and quotient rule in general or do you have a specific problem you want to work on?", "session_id": 7150, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "yea i have a ton of questions for us to look over", "session_id": 7150, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "Perfect! Let's get started them", "session_id": 7150, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "then*", "session_id": 7150, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "is that first one right", "session_id": 7150, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "yes, do you know why that is or do you want me to provide an example?", "session_id": 7150, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "no I think i understand why, just wanted to check", "session_id": 7150, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "okay!", "session_id": 7150, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "and then the next one is true", "session_id": 7150, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "that is correct!", "session_id": 7150, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "and then true again?", "session_id": 7150, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "yes!", "session_id": 7150, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "and then false", "session_id": 7150, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "it's just the sum rule for c", "session_id": 7150, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "right", "session_id": 7150, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "and d is false i think", "session_id": 7150, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "yes you're right that d is false", "session_id": 7150, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "cause product rule is needed", "session_id": 7150, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "correct! and product rule is (fg)\u2032=f\u2032g+fg\u2032.", "session_id": 7150, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "skipping e cause we dont need it for this", "session_id": 7150, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "sounds good", "session_id": 7150, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "and for f, if a function is differentiable its continuous and if a function is continuous it might not be differentiable", "session_id": 7150, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "that is exactly correct!", "session_id": 7150, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "sweet", "session_id": 7150, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "wait this is just asking me to make up a counter example", "session_id": 7150, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "right", "session_id": 7150, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "exactly! show that (fg)' does NOT equal f'g'", "session_id": 7150, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "and that (f/g)' does not equal f'/g'", "session_id": 7150, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "so i should find the answer the incorrect way, and then show the correct way?", "session_id": 7150, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "yeah! use the correct product rule and use the incorrect product rule and then just say that they don't equal each other", "session_id": 7150, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "like that?", "session_id": 7150, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "yes! and you should probably make a statement on the test, comparing the two and saying that they are not equal which means that (fg)' does not equal f'g'", "session_id": 7150, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "as well as label which is the true derivative and which uses the incorrect expression", "session_id": 7150, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "you did great!", "session_id": 7150, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "thanks!", "session_id": 7150, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "i think ill just skip the quotient rule one because its basically the same thing", "session_id": 7150, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "of course! if you feel confident about it, we can move on!", "session_id": 7150, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "wait how come its asking me to use 2 different methods for each for a", "session_id": 7150, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "because you can rearrange the equation so that different methods can work", "session_id": 7150, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "ohhh", "session_id": 7150, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "right let me try that", "session_id": 7150, "sequence_id": 43, "annotations": []}
{"role": "student", "content": "wait im unfamiliar with the constant multiple rule", "session_id": 7150, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "sure! let me put it up for you", "session_id": 7150, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "you're likely just not familiar with the name", "session_id": 7150, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "oh isnt that just power rule", "session_id": 7150, "sequence_id": 47, "annotations": []}
{"role": "student", "content": "subtract by one, bring it down", "session_id": 7150, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "technically it uses the power rule but it basically just means seperating the constant from the function then applying the power rule", "session_id": 7150, "sequence_id": 49, "annotations": []}
{"role": "student", "content": "i see it", "session_id": 7150, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "yup!", "session_id": 7150, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "i think i is the best option here", "session_id": 7150, "sequence_id": 52, "annotations": []}
{"role": "student", "content": "cause i can already tell its way more work for the other 2", "session_id": 7150, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "you did i correctly! and that is true however, I think that the question is asking you to use both rather than pick the best one", "session_id": 7150, "sequence_id": 54, "annotations": []}
{"role": "student", "content": "ohh", "session_id": 7150, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "but if you feel confident about the rest we can most definitely move on. let me know", "session_id": 7150, "sequence_id": 56, "annotations": []}
{"role": "student", "content": "i think im good!", "session_id": 7150, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "okay!", "session_id": 7150, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "b part i is also correct!", "session_id": 7150, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "b part ii is correct!", "session_id": 7150, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "c part i is correct!", "session_id": 7150, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "well done!", "session_id": 7150, "sequence_id": 62, "annotations": []}
{"role": "student", "content": "how does that look", "session_id": 7150, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "i would start off with a general expression so  h(x)=f(x)g(x) then do h'(x) = ... but other than that it looks good!", "session_id": 7150, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "does that make sense?", "session_id": 7150, "sequence_id": 65, "annotations": []}
{"role": "student", "content": "oh yea makes sense", "session_id": 7150, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "great!", "session_id": 7150, "sequence_id": 67, "annotations": []}
{"role": "student", "content": "we dont have to do all of these", "session_id": 7150, "sequence_id": 68, "annotations": []}
{"role": "student", "content": "just the hard ones", "session_id": 7150, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "okay!", "session_id": 7150, "sequence_id": 70, "annotations": []}
{"role": "student", "content": "any of these catch your attention as hard", "session_id": 7150, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "i would say d", "session_id": 7150, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "and likely b", "session_id": 7150, "sequence_id": 73, "annotations": []}
{"role": "student", "content": "yea i saw that too", "session_id": 7150, "sequence_id": 74, "annotations": []}
{"role": "student", "content": "alright ill try them first", "session_id": 7150, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "okay!", "session_id": 7150, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "have you been taught u-substitution at all?", "session_id": 7150, "sequence_id": 77, "annotations": []}
{"role": "student", "content": "what do you mean", "session_id": 7150, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "it's a method of simplifying equations but it is not necessary to solve these. i was just curious if you were taught it or not", "session_id": 7150, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "it looks something like this, if you haven't been taught it, you can definitely ignore it", "session_id": 7150, "sequence_id": 80, "annotations": []}
{"role": "volunteer", "content": "hm, it's not letting me upload", "session_id": 7150, "sequence_id": 81, "annotations": []}
{"role": "volunteer", "content": "ill write it out", "session_id": 7150, "sequence_id": 82, "annotations": []}
{"role": "student", "content": "ill continue solving", "session_id": 7150, "sequence_id": 83, "annotations": []}
{"role": "volunteer", "content": "yes! please do", "session_id": 7150, "sequence_id": 84, "annotations": []}
{"role": "volunteer", "content": "if u = g(x) then du/dx = g'(x) and du = g'(x)dx so that when you have a form like f(g(x))\u22c5g\u2032(x) you can let u = g(x) and replace g(x) by u and replace g'(x)dx by du, it sounds complicated but it can simplify hard equations though you might not have gotten that far yet", "session_id": 7150, "sequence_id": 85, "annotations": []}
{"role": "student", "content": "yea we havent gotten that far yet", "session_id": 7150, "sequence_id": 86, "annotations": []}
{"role": "student", "content": "is what im doing right though?", "session_id": 7150, "sequence_id": 87, "annotations": []}
{"role": "student", "content": "i dont really know how to simplify this any more", "session_id": 7150, "sequence_id": 88, "annotations": []}
{"role": "volunteer", "content": "give me one second", "session_id": 7150, "sequence_id": 89, "annotations": []}
{"role": "student", "content": "am i allowed to move it down like that", "session_id": 7150, "sequence_id": 90, "annotations": []}
{"role": "student", "content": "oh wait", "session_id": 7150, "sequence_id": 91, "annotations": []}
{"role": "student", "content": "i see my mistake", "session_id": 7150, "sequence_id": 92, "annotations": []}
{"role": "student", "content": "is that right?", "session_id": 7150, "sequence_id": 93, "annotations": []}
{"role": "volunteer", "content": "yes that is correct", "session_id": 7150, "sequence_id": 94, "annotations": []}
{"role": "student", "content": "thats like the most simplified i can get reasonably right", "session_id": 7150, "sequence_id": 95, "annotations": []}
{"role": "student", "content": "thats always the hardest part for me", "session_id": 7150, "sequence_id": 96, "annotations": []}
{"role": "volunteer", "content": "i think you can simplify it further, are you required to on the test?", "session_id": 7150, "sequence_id": 97, "annotations": []}
{"role": "student", "content": "yes we always simplify but the extent always varies,", "session_id": 7150, "sequence_id": 98, "annotations": []}
{"role": "student", "content": "how could i simplify this more?", "session_id": 7150, "sequence_id": 99, "annotations": []}
{"role": "volunteer", "content": "so basically since sqrt x is also equal to 2x divided by 2sqrtx you can rewrite the numerator", "session_id": 7150, "sequence_id": 100, "annotations": []}
{"role": "volunteer", "content": "hold on", "session_id": 7150, "sequence_id": 101, "annotations": []}
{"role": "volunteer", "content": "so numerator would look like -(x+1) divided by 2sqrtx", "session_id": 7150, "sequence_id": 102, "annotations": []}
{"role": "volunteer", "content": "and you can then move the 2sqrtx to the denominator", "session_id": 7150, "sequence_id": 103, "annotations": []}
{"role": "student", "content": "yeaa i see", "session_id": 7150, "sequence_id": 104, "annotations": []}
{"role": "volunteer", "content": "make sense?", "session_id": 7150, "sequence_id": 105, "annotations": []}
{"role": "student", "content": "i wish i had a key so i could see how far the key goes", "session_id": 7150, "sequence_id": 106, "annotations": []}
{"role": "volunteer", "content": "yeah, it's definitely hard when you're not sure how far to go", "session_id": 7150, "sequence_id": 107, "annotations": []}
{"role": "volunteer", "content": "but i hope that was helpful", "session_id": 7150, "sequence_id": 108, "annotations": []}
{"role": "student", "content": "yea it definitely was", "session_id": 7150, "sequence_id": 109, "annotations": []}
{"role": "student", "content": "lets try d now", "session_id": 7150, "sequence_id": 110, "annotations": []}
{"role": "volunteer", "content": "good im glad!", "session_id": 7150, "sequence_id": 111, "annotations": []}
{"role": "volunteer", "content": "do you want me to correct you as you go or after you're done?", "session_id": 7150, "sequence_id": 112, "annotations": []}
{"role": "student", "content": "yea that would be great", "session_id": 7150, "sequence_id": 113, "annotations": []}
{"role": "volunteer", "content": "okay!", "session_id": 7150, "sequence_id": 114, "annotations": []}
{"role": "student", "content": "should i start by using quotient rule", "session_id": 7150, "sequence_id": 115, "annotations": []}
{"role": "student", "content": "for d", "session_id": 7150, "sequence_id": 116, "annotations": []}
{"role": "student", "content": "or just go right into it", "session_id": 7150, "sequence_id": 117, "annotations": []}
{"role": "volunteer", "content": "what do you mean by just go right into it", "session_id": 7150, "sequence_id": 118, "annotations": []}
{"role": "student", "content": "like do product rule right away", "session_id": 7150, "sequence_id": 119, "annotations": []}
{"role": "volunteer", "content": "i would start by rewriting the second factor", "session_id": 7150, "sequence_id": 120, "annotations": []}
{"role": "volunteer", "content": "then do product rule", "session_id": 7150, "sequence_id": 121, "annotations": []}
{"role": "student", "content": "i mean i can do this", "session_id": 7150, "sequence_id": 122, "annotations": []}
{"role": "student", "content": "and then multiply it out", "session_id": 7150, "sequence_id": 123, "annotations": []}
{"role": "student", "content": "maybe", "session_id": 7150, "sequence_id": 124, "annotations": []}
{"role": "volunteer", "content": "that's exactly what i would do", "session_id": 7150, "sequence_id": 125, "annotations": []}
{"role": "student", "content": "nice", "session_id": 7150, "sequence_id": 126, "annotations": []}
{"role": "student", "content": "and now i have my other equation", "session_id": 7150, "sequence_id": 127, "annotations": []}
{"role": "student", "content": "did i do it right", "session_id": 7150, "sequence_id": 128, "annotations": []}
{"role": "student", "content": "[student's calculation] - x^-1/2", "session_id": 7150, "sequence_id": 129, "annotations": []}
{"role": "volunteer", "content": "yes!", "session_id": 7150, "sequence_id": 130, "annotations": []}
{"role": "student", "content": "i got this so far", "session_id": 7150, "sequence_id": 131, "annotations": []}
{"role": "volunteer", "content": "let me see", "session_id": 7150, "sequence_id": 132, "annotations": []}
{"role": "student", "content": "i didnt have enough space for the full thing", "session_id": 7150, "sequence_id": 133, "annotations": []}
{"role": "volunteer", "content": "looks good to me!", "session_id": 7150, "sequence_id": 134, "annotations": []}
{"role": "student", "content": "now i have no idea what to do from here", "session_id": 7150, "sequence_id": 135, "annotations": []}
{"role": "volunteer", "content": "okay", "session_id": 7150, "sequence_id": 136, "annotations": []}
{"role": "volunteer", "content": "there's not really much to do", "session_id": 7150, "sequence_id": 137, "annotations": []}
{"role": "volunteer", "content": "wait", "session_id": 7150, "sequence_id": 138, "annotations": []}
{"role": "volunteer", "content": "oh apologies was looking at the wrong parantheses, it's all correct", "session_id": 7150, "sequence_id": 139, "annotations": []}
{"role": "volunteer", "content": "we can simplify it further by by expanding each part", "session_id": 7150, "sequence_id": 140, "annotations": []}
{"role": "volunteer", "content": "then combine like terms", "session_id": 7150, "sequence_id": 141, "annotations": []}
{"role": "student", "content": "yea but on a test id assume we wouldnt have time for that", "session_id": 7150, "sequence_id": 142, "annotations": []}
{"role": "volunteer", "content": "yeah it would be absolutely painful to do", "session_id": 7150, "sequence_id": 143, "annotations": []}
{"role": "volunteer", "content": "so i'd say you did fantastic! good job!", "session_id": 7150, "sequence_id": 144, "annotations": []}
{"role": "student", "content": "alright i think thats good in this area for now let me get another type of question", "session_id": 7150, "sequence_id": 145, "annotations": []}
{"role": "volunteer", "content": "okay!", "session_id": 7150, "sequence_id": 146, "annotations": []}
{"role": "student", "content": "am i thinking about this right", "session_id": 7150, "sequence_id": 147, "annotations": []}
{"role": "volunteer", "content": "so for the derivative of hat", "session_id": 7150, "sequence_id": 148, "annotations": []}
{"role": "volunteer", "content": "that*", "session_id": 7150, "sequence_id": 149, "annotations": []}
{"role": "student", "content": "oh wait", "session_id": 7150, "sequence_id": 150, "annotations": []}
{"role": "student", "content": "power rule", "session_id": 7150, "sequence_id": 151, "annotations": []}
{"role": "student", "content": "woops", "session_id": 7150, "sequence_id": 152, "annotations": []}
{"role": "volunteer", "content": "yes!", "session_id": 7150, "sequence_id": 153, "annotations": []}
{"role": "student", "content": "there", "session_id": 7150, "sequence_id": 154, "annotations": []}
{"role": "student", "content": "and now i find the 3 different values", "session_id": 7150, "sequence_id": 155, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 7150, "sequence_id": 156, "annotations": []}
{"role": "student", "content": "i think id need a calculator for this", "session_id": 7150, "sequence_id": 157, "annotations": []}
{"role": "student", "content": "only the 0 one i wont need it for", "session_id": 7150, "sequence_id": 158, "annotations": []}
{"role": "volunteer", "content": "are you allowed calculators on the test?", "session_id": 7150, "sequence_id": 159, "annotations": []}
{"role": "student", "content": "no", "session_id": 7150, "sequence_id": 160, "annotations": []}
{"role": "student", "content": "wait", "session_id": 7150, "sequence_id": 161, "annotations": []}
{"role": "student", "content": "wouldnt it just be -2/3", "session_id": 7150, "sequence_id": 162, "annotations": []}
{"role": "student", "content": "anything greater then -2/3 would be positive", "session_id": 7150, "sequence_id": 163, "annotations": []}
{"role": "student", "content": "-2/3 would be 0", "session_id": 7150, "sequence_id": 164, "annotations": []}
{"role": "volunteer", "content": "for the slope is 0 it would be x = -2/3", "session_id": 7150, "sequence_id": 165, "annotations": []}
{"role": "student", "content": "and anything below -2/3 would be negative", "session_id": 7150, "sequence_id": 166, "annotations": []}
{"role": "student", "content": "yea so thats what im saying", "session_id": 7150, "sequence_id": 167, "annotations": []}
{"role": "volunteer", "content": "and you're correct on + and -", "session_id": 7150, "sequence_id": 168, "annotations": []}
{"role": "volunteer", "content": "yes! you got it all right, good job!", "session_id": 7150, "sequence_id": 169, "annotations": []}
{"role": "student", "content": "nice!", "session_id": 7150, "sequence_id": 170, "annotations": []}
{"role": "student", "content": "i think i was blessed with understanding calculus conceptually but being horrible at algebra", "session_id": 7150, "sequence_id": 171, "annotations": []}
{"role": "volunteer", "content": "honestly, that is quite a blessing", "session_id": 7150, "sequence_id": 172, "annotations": []}
{"role": "student", "content": "i have 2 more questions and then i think im good for today", "session_id": 7150, "sequence_id": 173, "annotations": []}
{"role": "volunteer", "content": "concepts are always the hardest to teach, algebra just needs a ton and a ton of practice.", "session_id": 7150, "sequence_id": 174, "annotations": []}
{"role": "volunteer", "content": "sounds good to me!", "session_id": 7150, "sequence_id": 175, "annotations": []}
{"role": "student", "content": "is quotient rule a good place to start", "session_id": 7150, "sequence_id": 176, "annotations": []}
{"role": "volunteer", "content": "I would say so, just don't forget the x^2 later", "session_id": 7150, "sequence_id": 177, "annotations": []}
{"role": "volunteer", "content": "product rule would also work if you wanted to use it", "session_id": 7150, "sequence_id": 178, "annotations": []}
{"role": "student", "content": "i would definitly need a calculator for this too", "session_id": 7150, "sequence_id": 179, "annotations": []}
{"role": "student", "content": "since id be plugging in 3 to e^x", "session_id": 7150, "sequence_id": 180, "annotations": []}
{"role": "student", "content": "but i can atleast simplify it", "session_id": 7150, "sequence_id": 181, "annotations": []}
{"role": "volunteer", "content": "yup", "session_id": 7150, "sequence_id": 182, "annotations": []}
{"role": "student", "content": "i think thats good enough", "session_id": 7150, "sequence_id": 183, "annotations": []}
{"role": "volunteer", "content": "let me check", "session_id": 7150, "sequence_id": 184, "annotations": []}
{"role": "volunteer", "content": "yup", "session_id": 7150, "sequence_id": 185, "annotations": []}
{"role": "volunteer", "content": "correct", "session_id": 7150, "sequence_id": 186, "annotations": []}
{"role": "student", "content": "nice", "session_id": 7150, "sequence_id": 187, "annotations": []}
{"role": "volunteer", "content": "you're doing really good!", "session_id": 7150, "sequence_id": 188, "annotations": []}
{"role": "student", "content": "i can do b cause e^0 is just 1 so it should be easy", "session_id": 7150, "sequence_id": 189, "annotations": []}
{"role": "volunteer", "content": "okay!", "session_id": 7150, "sequence_id": 190, "annotations": []}
{"role": "student", "content": "should just be 2", "session_id": 7150, "sequence_id": 191, "annotations": []}
{"role": "volunteer", "content": "let me check", "session_id": 7150, "sequence_id": 192, "annotations": []}
{"role": "volunteer", "content": "correct", "session_id": 7150, "sequence_id": 193, "annotations": []}
{"role": "student", "content": "nice!", "session_id": 7150, "sequence_id": 194, "annotations": []}
{"role": "volunteer", "content": "oh you should know though", "session_id": 7150, "sequence_id": 195, "annotations": []}
{"role": "volunteer", "content": "since they asked for an equation", "session_id": 7150, "sequence_id": 196, "annotations": []}
{"role": "volunteer", "content": "you should type it out fully and not just find the slope", "session_id": 7150, "sequence_id": 197, "annotations": []}
{"role": "student", "content": "ohh yea woops", "session_id": 7150, "sequence_id": 198, "annotations": []}
{"role": "student", "content": "forgot about that", "session_id": 7150, "sequence_id": 199, "annotations": []}
{"role": "volunteer", "content": "so use point slope form and plug in your slope that you found ( which is 2 in part b) and x1 and y1 which were both 0 and you'd get y = 2x", "session_id": 7150, "sequence_id": 200, "annotations": []}
{"role": "volunteer", "content": "no worries! i missed that too", "session_id": 7150, "sequence_id": 201, "annotations": []}
{"role": "student", "content": "in my class we use Taylors form which is basically the same thing", "session_id": 7150, "sequence_id": 202, "annotations": []}
{"role": "volunteer", "content": "ohh interesting! okay!", "session_id": 7150, "sequence_id": 203, "annotations": []}
{"role": "student", "content": "is that right?", "session_id": 7150, "sequence_id": 204, "annotations": []}
{"role": "volunteer", "content": "one sec", "session_id": 7150, "sequence_id": 205, "annotations": []}
{"role": "volunteer", "content": "I can't tell what you did, did you start by finding h'(x)?", "session_id": 7150, "sequence_id": 206, "annotations": []}
{"role": "student", "content": "yes", "session_id": 7150, "sequence_id": 207, "annotations": []}
{"role": "student", "content": "i did power rule on both sides", "session_id": 7150, "sequence_id": 208, "annotations": []}
{"role": "student", "content": "5f(x)", "session_id": 7150, "sequence_id": 209, "annotations": []}
{"role": "student", "content": "and 2g(x)", "session_id": 7150, "sequence_id": 210, "annotations": []}
{"role": "student", "content": "and then i added both together", "session_id": 7150, "sequence_id": 211, "annotations": []}
{"role": "student", "content": "oh woops", "session_id": 7150, "sequence_id": 212, "annotations": []}
{"role": "student", "content": "i put 2 by accident i meant 3", "session_id": 7150, "sequence_id": 213, "annotations": []}
{"role": "volunteer", "content": "where did you get the 2 or 3 from", "session_id": 7150, "sequence_id": 214, "annotations": []}
{"role": "student", "content": "it says it on top", "session_id": 7150, "sequence_id": 215, "annotations": []}
{"role": "student", "content": "you get the normal and the derived", "session_id": 7150, "sequence_id": 216, "annotations": []}
{"role": "volunteer", "content": "so it would be 5f(-2) and f(-2) = -2 so the term would be 5 times -2", "session_id": 7150, "sequence_id": 217, "annotations": []}
{"role": "student", "content": "yea", "session_id": 7150, "sequence_id": 218, "annotations": []}
{"role": "student", "content": "then you get rid of the 5 cause the derivative of 5 is just 0", "session_id": 7150, "sequence_id": 219, "annotations": []}
{"role": "student", "content": "and then you have 3", "session_id": 7150, "sequence_id": 220, "annotations": []}
{"role": "student", "content": "or wait", "session_id": 7150, "sequence_id": 221, "annotations": []}
{"role": "student", "content": "am i supposed to just", "session_id": 7150, "sequence_id": 222, "annotations": []}
{"role": "volunteer", "content": "sorry i wrote that wrong", "session_id": 7150, "sequence_id": 223, "annotations": []}
{"role": "student", "content": "remove that is it 0*3)", "session_id": 7150, "sequence_id": 224, "annotations": []}
{"role": "volunteer", "content": "hold on", "session_id": 7150, "sequence_id": 225, "annotations": []}
{"role": "volunteer", "content": "do you see the blue on the board", "session_id": 7150, "sequence_id": 226, "annotations": []}
{"role": "student", "content": "yea u see it", "session_id": 7150, "sequence_id": 227, "annotations": []}
{"role": "student", "content": "i*", "session_id": 7150, "sequence_id": 228, "annotations": []}
{"role": "volunteer", "content": "does that make sense?", "session_id": 7150, "sequence_id": 229, "annotations": []}
{"role": "student", "content": "yea i understand", "session_id": 7150, "sequence_id": 230, "annotations": []}
{"role": "student", "content": "the way i did it i mixed myself up", "session_id": 7150, "sequence_id": 231, "annotations": []}
{"role": "volunteer", "content": "yes it is definitely a very confusing problem, i think it is best to write all the steps out because i also confused myself at first", "session_id": 7150, "sequence_id": 232, "annotations": []}
{"role": "student", "content": "im gonna try b and I think im good", "session_id": 7150, "sequence_id": 233, "annotations": []}
{"role": "volunteer", "content": "okay!", "session_id": 7150, "sequence_id": 234, "annotations": []}
{"role": "student", "content": "is that right", "session_id": 7150, "sequence_id": 235, "annotations": []}
{"role": "volunteer", "content": "yes!", "session_id": 7150, "sequence_id": 236, "annotations": []}
{"role": "student", "content": "nice!", "session_id": 7150, "sequence_id": 237, "annotations": []}
{"role": "student", "content": "alright i think im good for tonight then", "session_id": 7150, "sequence_id": 238, "annotations": []}
{"role": "student", "content": "thanks so much for all the help!", "session_id": 7150, "sequence_id": 239, "annotations": []}
{"role": "volunteer", "content": "great! you did really well and best of luck on your quiz tomorrow, you'll do great!", "session_id": 7150, "sequence_id": 240, "annotations": []}
{"role": "volunteer", "content": "of course, anytime!", "session_id": 7150, "sequence_id": 241, "annotations": []}
{"role": "student", "content": "thanks alot!!", "session_id": 7150, "sequence_id": 242, "annotations": []}
{"role": "volunteer", "content": "hello", "session_id": 7323, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "How may I help you? Can you show me your question?", "session_id": 7323, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "hi  ok", "session_id": 7323, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "How may I help you with this?", "session_id": 7323, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "It looks like you have the correct x intercepts", "session_id": 7323, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "and the correct axis of symmetry", "session_id": 7323, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "im confused by the differences", "session_id": 7323, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "what is the lower x intercept?", "session_id": 7323, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "You have two x intercepts. WHich is the lower one?", "session_id": 7323, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "Hello?", "session_id": 7323, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "are you still there?", "session_id": 7323, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "Hello, are you there?", "session_id": 7323, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "I'm sorry but if I don't hear from you in a minute or two, I will have to close the session.  You can always repost your request when you have more time.", "session_id": 7323, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "Hello?", "session_id": 7323, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "Sorry, bye", "session_id": 7323, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "I need to check my work for one math question", "session_id": 7404, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "Hi there! Whats your question?", "session_id": 7404, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "I understand what 25% 132 is. I know it is 33 but I need to know how to label each number line between zero 132.", "session_id": 7404, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "I see, thats tricky", "session_id": 7404, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "From looking at the number line, I can tell that it has 10 points", "session_id": 7404, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "from 0-132", "session_id": 7404, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "How did you get the middle number to be 66?", "session_id": 7404, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "I 132\u00f72=66 so I know that\u2019s 50%", "session_id": 7404, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "Great!", "session_id": 7404, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "Half of 66 is 33", "session_id": 7404, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "Thats completely right", "session_id": 7404, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "Is it a requirement for the question to put all of the points on the number line?", "session_id": 7404, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "Just curious", "session_id": 7404, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "I don\u2019t know", "session_id": 7404, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "Did your teacher say you had to?", "session_id": 7404, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "No", "session_id": 7404, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "Hmm, I don't think it is important when it comes to your question then", "session_id": 7404, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "Would you still like me to help you try and figure out how to point the numbers?", "session_id": 7404, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "It will be tricky because it will include decimal numbers", "session_id": 7404, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "No, I think it\u2019s OK. I will just leave it like this. Thank you for your help.", "session_id": 7404, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "Of course, please come back to Tutor Provider anytime you need more help", "session_id": 7404, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "Have an amazing day/night", "session_id": 7404, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "Hey!", "session_id": 7364, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "hi", "session_id": 7364, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "What do you need help with?", "session_id": 7364, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "Emma", "session_id": 7364, "sequence_id": 3, "annotations": [{"pii_type": "PERSON", "surrogate": "Emma", "start": 0, "end": 4}]}
{"role": "volunteer", "content": "okay!", "session_id": 7364, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "For the question its asking how many equal parts are there", "session_id": 7364, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "How many do you see?", "session_id": 7364, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "yeah because we got fun Friday coming up and I want to participate so I need to do my lessons for the week and plus my birthday is coming up soon I will be turning 10", "session_id": 7364, "sequence_id": 7, "annotations": [{"pii_type": "AGE", "surrogate": "10", "start": 164, "end": 166}]}
{"role": "volunteer", "content": "Okay!", "session_id": 7364, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "Happy Early Birthday!", "session_id": 7364, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "thankyou", "session_id": 7364, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "Okay so how many parts do you see in total?", "session_id": 7364, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "3/6", "session_id": 7364, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "Not exactly", "session_id": 7364, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "including the non-colered ones", "session_id": 7364, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "3/8", "session_id": 7364, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "Okay so there are 8 parts total", "session_id": 7364, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "ok", "session_id": 7364, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "SO it is divided into 8 equal parts", "session_id": 7364, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "yes", "session_id": 7364, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "So thats the answer", "session_id": 7364, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "that's the next question", "session_id": 7364, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "You know this!", "session_id": 7364, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "You just siad it earlier", "session_id": 7364, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "3/6", "session_id": 7364, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "3 out of the 8 parts are part of the playground", "session_id": 7364, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "no we are comparing it to the whole", "session_id": 7364, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "The whole is split into 8 parts", "session_id": 7364, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "so it would be 3/8", "session_id": 7364, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "3 parts", "session_id": 7364, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "David", "session_id": 7364, "sequence_id": 30, "annotations": [{"pii_type": "PERSON", "surrogate": "David", "start": 0, "end": 5}]}
{"role": "volunteer", "content": "Hi what do you need help with", "session_id": 7409, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "Hello", "session_id": 7409, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "Hi", "session_id": 7409, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "uhh", "session_id": 7409, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "you can see my messages?", "session_id": 7409, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "because mine is bugged", "session_id": 7409, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "yes I can", "session_id": 7409, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "ok", "session_id": 7409, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "refreshed", "session_id": 7409, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "anyway", "session_id": 7409, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "Leo, I need help with geometry because I struggle with it", "session_id": 7409, "sequence_id": 10, "annotations": [{"pii_type": "PERSON", "surrogate": "Leo", "start": 0, "end": 3}]}
{"role": "volunteer", "content": "okay", "session_id": 7409, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "what topics in geometry", "session_id": 7409, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "any specific ones", "session_id": 7409, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "one second", "session_id": 7409, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "I need help with angle based geometric questions", "session_id": 7409, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "okay, do you have any specific examples", "session_id": 7409, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "or problems that you want to  do", "session_id": 7409, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "I don't have any specific problems", "session_id": 7409, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "okay let me get some and we will work on them", "session_id": 7409, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "is it like trigonometry geometry or just normal geometry", "session_id": 7409, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "normal geometry", "session_id": 7409, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "okay", "session_id": 7409, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "your textbook", "session_id": 7409, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "Yes I should", "session_id": 7409, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "okay", "session_id": 7409, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "why don'you and try a couple sections from Unit 9", "session_id": 7409, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "those are the ones that relate angles to geometry", "session_id": 7409, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "can you refer me a link?", "session_id": 7409, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "you can do some and then come back to review the ones you are confused on", "session_id": 7409, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "mathaid.org/geometry-practice", "session_id": 7409, "sequence_id": 30, "annotations": [{"pii_type": "URL", "surrogate": "mathaid.org/geometry-practice", "start": 0, "end": 29}]}
{"role": "student", "content": "thanks", "session_id": 7409, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "there you go", "session_id": 7409, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "you can stay on the call", "session_id": 7409, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "Im actually gonna go because I have smth else to do", "session_id": 7409, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "my fault for wasting some time here", "session_id": 7409, "sequence_id": 35, "annotations": [{"pii_type": "LOCATION", "surrogate": "here", "start": 31, "end": 35}]}
{"role": "volunteer", "content": "okay good luck", "session_id": 7409, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "your good, I am here to help you", "session_id": 7409, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "byr", "session_id": 7409, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "bye", "session_id": 7409, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "bye", "session_id": 7409, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "Hello", "session_id": 7415, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "Hi hat can i help with?", "session_id": 7415, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "Do you know how I could create an equation for this function?", "session_id": 7415, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "to create the fucntion, you must analyze the behavior of the graph. For example, you must check where hte graph has horizontal / vertical asymtotes, where it has holes etc.", "session_id": 7415, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "so for this graph it has vertical asymtoes at x=2 and x=-2 i beleive and it has a horziantal asymtoe at somehwere like y=2", "session_id": 7415, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "wait sorry Alex asymtote at y=5", "session_id": 7415, "sequence_id": 5, "annotations": [{"pii_type": "PERSON", "surrogate": "Alex", "start": 11, "end": 15}]}
{"role": "volunteer", "content": "and a hole at (12,6)", "session_id": 7415, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "Are you sure about the vertical asymptotes", "session_id": 7415, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "And the point of the hole", "session_id": 7415, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "wait the vertical asymtotes are x=-5 and x=2", "session_id": 7415, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "and the hole is at (12,6)", "session_id": 7415, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "I see it as (6, 6)", "session_id": 7415, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "And the other vertical asymptote i see it as x = 1", "session_id": 7415, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "oh sorry i read the thing wrong", "session_id": 7415, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "yeah", "session_id": 7415, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "sorry i thought they labeled the asyntote as x=2", "session_id": 7415, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "yeah so the vertical asymtotes are x=1, x=-5", "session_id": 7415, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "and the hole is 6,6", "session_id": 7415, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "How would I start to create my equation", "session_id": 7415, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "if there is a vertical asymtote at a certain value of x, the denominator of the fucntion would equal 0 if you plug in that number. for example if f(x)=1/(x-a) there is a horizontla asymtote at x=a", "session_id": 7415, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "so you can start by mmaking the denominator of your equaiton as (x+5)(x-1))", "session_id": 7415, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "then we will continue", "session_id": 7415, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "So could I start with 1/(x+5)(x-1)", "session_id": 7415, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "yeah that would mean there are Vertical asymtotes at x=-5 and x=1", "session_id": 7415, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "Also if you have a hole at 6,6, the numerator and denominator of the fucntion should be 0/0 at x=6 whihc means you can multiply the equaiton by (x-6)/(x-6)", "session_id": 7415, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "so your equation will turn into (x-6)/(x-6)(x-1)(x+5)", "session_id": 7415, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "we also know tjat the y value of the hole is 6, because the hole is at (6,6). therefore lim x-->6 f(x) has to equal 6", "session_id": 7415, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "does that make sense", "session_id": 7415, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 7415, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "Is 0/0 DNE or und", "session_id": 7415, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "0/0 means it is undefined but it can be simplified further to find a vlaue", "session_id": 7415, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "so if you cancel out x-6 from te numerator and denominator", "session_id": 7415, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "hwoever this is not the final form of our fucntion yet, becuse we have to still use the horizontal asymtote and we have to make sure the y value of the hole is 6", "session_id": 7415, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "becase right now if we do lim x-->6 (x-6)/(x-1)(x+5)(x-6) we get lim x-->6 1/(x-1)(x+5) = 1/55", "session_id": 7415, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "but we wwant it to equal 6", "session_id": 7415, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "How would we do this", "session_id": 7415, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "we must multiply the numerator of the equaiton by something so that the limit euqals 6 and we have to also make sure that this equaiton satifies the fact that the horizontla asymtpote of the fucntion is y=5", "session_id": 7415, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "give me a minute", "session_id": 7415, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "we also know that the graph intersects the x-axis at -2,0", "session_id": 7415, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "this means the numerator of the fucntion should also have (x+2)", "session_id": 7415, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "Could I add 5 to make the horizontal asymptote", "session_id": 7415, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 7415, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "So would the final equation be (x-6)(x+2)/(x-6)(x+5)(x-1) +5?", "session_id": 7415, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "sorry you wouln't add 5, you would mtiply 5 on the numeraaotr", "session_id": 7415, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "because horiznotnla asymtote att y=a means lim x--> inf f(x) = a", "session_id": 7415, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "wait actually one second", "session_id": 7415, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "that also works", "session_id": 7415, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "however, then the x-int wouldn't be -2,0", "session_id": 7415, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "so you would have to multiply 5 by the numeraotr", "session_id": 7415, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "Could you give me a minute", "session_id": 7415, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 7415, "sequence_id": 50, "annotations": []}
{"role": "student", "content": "Do you think 5(x-6)(x+2)^2/(x-6)(x+5)(x-1) would be the final equation?", "session_id": 7415, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "you are almost there, but remember that lim x-->6 f(x) has to equal 6", "session_id": 7415, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "so instead of squaring x+2 we can mulptiply the numerator by another  thing to make lim x--> 6 f(x)=6", "session_id": 7415, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "right now we have the equation f(x) = 5(x+2)(x-6) / (x-6)(x-1)(x+5), so limx-->6 is 40/55", "session_id": 7415, "sequence_id": 54, "annotations": []}
{"role": "student", "content": "Ok", "session_id": 7415, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "so to get the limit to equal 6, we must multiply the numerator by 8.25 because 40/55 *8.25 = 6", "session_id": 7415, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "so if we multiply by (x+2.25), and we evaluate the limit again, we would get 6", "session_id": 7415, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "therefore our final equation would be f(x) = 5(x-6)(x+2)(x+2.25) / (x-6)(x-1)(x+5)", "session_id": 7415, "sequence_id": 58, "annotations": []}
{"role": "student", "content": "Thanks, I got it now!", "session_id": 7415, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "great!", "session_id": 7415, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "i will end the session now! thank you for staying engaged! good job!", "session_id": 7415, "sequence_id": 61, "annotations": []}
{"role": "student", "content": "Goodbye!", "session_id": 7415, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "bye", "session_id": 7415, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "hello", "session_id": 7435, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "what problem you need help with", "session_id": 7435, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "Hi. My son is having trouble with this math work. Will you be able to assist", "session_id": 7435, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "I should be able to", "session_id": 7435, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "I uploaded a picture on the graph", "session_id": 7435, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "Please make it bigger", "session_id": 7435, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "Is that better?", "session_id": 7435, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "Yup", "session_id": 7435, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "I\u2019m sorry let me upload a clean one", "session_id": 7435, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "There you go?", "session_id": 7435, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "My apologies", "session_id": 7435, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "aight", "session_id": 7435, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "Well he got part a right, but the graph for b is incorrect", "session_id": 7435, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "it's not linear", "session_id": 7435, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "What should he do?", "session_id": 7435, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "It should look something like this", "session_id": 7435, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "Note that I'm using a scale of 5 because going by 1 would take longer", "session_id": 7435, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "Something like this", "session_id": 7435, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "Could you explain?", "session_id": 7435, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "in the graph I drew, y depends inversely on x", "session_id": 7435, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "And since you can have negative number of volunteers we stick with quadrant I", "session_id": 7435, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "As x increases, y decreases, and vice versa", "session_id": 7435, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "heuuuuuuuuuuu", "session_id": 7452, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "Howdy !", "session_id": 7452, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "Yeah haw", "session_id": 7452, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "I'm from Texas", "session_id": 7452, "sequence_id": 3, "annotations": [{"pii_type": "LOCATION", "surrogate": "Texas", "start": 9, "end": 14}]}
{"role": "volunteer", "content": "So you have a specific problem to solve?", "session_id": 7452, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "I put it  on the dashboard!", "session_id": 7452, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "Okey dokey.", "session_id": 7452, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "Artichoke", "session_id": 7452, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "Oh, they are so tricky !!!", "session_id": 7452, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "Flipping the 4 and the 7 - tsk tsk tsk.", "session_id": 7452, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "yeperdoodle", "session_id": 7452, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "But when I need help I come to upcheive!", "session_id": 7452, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "Awesome sauce.", "session_id": 7452, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "cool beans", "session_id": 7452, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "So the remaining answers have all the right numbers, it's just a question of minus signs.", "session_id": 7452, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "ok!", "session_id": 7452, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "Thanks!", "session_id": 7452, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "So it doesn't matter where in the fraction the minus sign is.", "session_id": 7452, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "Just that it's there or not there.", "session_id": 7452, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "Make sense?", "session_id": 7452, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "yesp!", "session_id": 7452, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "Sweet !", "session_id": 7452, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "All set for now then?", "session_id": 7452, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "Ohio", "session_id": 7452, "sequence_id": 23, "annotations": [{"pii_type": "LOCATION", "surrogate": "Ohio", "start": 0, "end": 4}]}
{"role": "student", "content": "I like you better than Sarah", "session_id": 7452, "sequence_id": 24, "annotations": [{"pii_type": "PERSON", "surrogate": "Sarah", "start": 23, "end": 28}]}
{"role": "volunteer", "content": "Later tater !!!", "session_id": 7452, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "BYEQQQQQQQQQQQQQQQQQQQQQQQ", "session_id": 7452, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "Hi Anna! How are you?", "session_id": 7451, "sequence_id": 0, "annotations": [{"pii_type": "PERSON", "surrogate": "Anna", "start": 3, "end": 7}]}
{"role": "student", "content": "sgood", "session_id": 7451, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "Great! What would you like help on today?", "session_id": 7451, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "nothing", "session_id": 7451, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "Is there something specific on math you need help on because you asked for a session on 9th grade math?", "session_id": 7451, "sequence_id": 4, "annotations": [{"pii_type": "GRADE_LEVEL", "surrogate": "9th grade", "start": 88, "end": 97}]}
{"role": "student", "content": "yes", "session_id": 7451, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "hello", "session_id": 7451, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "Okay so the problem 1/6+1/3 right?", "session_id": 7451, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "Okay so to add fractions together, both need to haev the same denominator and you find that using what 2 numbers you are adding together have in common in the denominator.", "session_id": 7451, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "Does that make sense?", "session_id": 7451, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "For example, if you are given 1/8+1/4 you need to look at the denominator whicch is 8 and 4 and figure out how to make the numbers the same. You can do this by figuring what times 4 equals 8 to make them the same.", "session_id": 7451, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "Does that make sense so far?", "session_id": 7451, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "just hurry up and tell me the anwer", "session_id": 7451, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "plssssssssssssssssssssssss", "session_id": 7451, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "not trying to be mean", "session_id": 7451, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "I'm sorry I can't give you the answer but if you understand the problem which I'm trying to explain then you can do all the problems easily yourself!", "session_id": 7451, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "can you turn your mic on", "session_id": 7451, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "No, I'm sorry my mic does not work.", "session_id": 7451, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "But I can explain the priblem using the whiteboard", "session_id": 7451, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "Would you like me to use the whiteboard so we can figure the problem out together?", "session_id": 7451, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "Hello How are you?", "session_id": 7467, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "hi, I'm fine", "session_id": 7467, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "how are you?", "session_id": 7467, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "Except for the spam calls, I am fine. How can I help?", "session_id": 7467, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "haha. I'm preparing for a quarterly exam for my math class rn I just need some help reviewing each topic", "session_id": 7467, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "OK where should we start?", "session_id": 7467, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "I wanna start with comple conjugates. Thi problem is asking me to divide (1+i) by (2-i)", "session_id": 7467, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 7467, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "Not sure what they have in mind, but see whethe this helps: first mult top and bottom by 2 + i", "session_id": 7467, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "do u see why?", "session_id": 7467, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "yeah can you model it on the whiteboard", "session_id": 7467, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "pls", "session_id": 7467, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "ok pls wait while I enable stylus", "session_id": 7467, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "kk", "session_id": 7467, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "ok here goes", "session_id": 7467, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "the pink ratio is equal to one", "session_id": 7467, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "ad 2 + i is complex cong of 2 - i", "session_id": 7467, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "can you do the mult.?", "session_id": 7467, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "no can you model it pls", "session_id": 7467, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "OK do u know FOIL?", "session_id": 7467, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 7467, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "OK I will first use that on (2-i)(2+i)", "session_id": 7467, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "I will rewrite", "session_id": 7467, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "is that OK so far?", "session_id": 7467, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "note i^2 = -1", "session_id": 7467, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "u might need to scroll down", "session_id": 7467, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "yes", "session_id": 7467, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "Do u see the red now?", "session_id": 7467, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "yup", "session_id": 7467, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "now 1/3 + i is  one way to write the answer", "session_id": 7467, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "I'm confused about the denominator", "session_id": 7467, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "and there is another", "session_id": 7467, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "me too this does not match my calculaor", "session_id": 7467, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "how did u get 2+1 in the denominator", "session_id": 7467, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "OK I will sue black", "session_id": 7467, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "what..", "session_id": 7467, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "2^2 + -(i^2)", "session_id": 7467, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "see the black", "session_id": 7467, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "yes", "session_id": 7467, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "the other terms camcel", "session_id": 7467, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "cancel", "session_id": 7467, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "so that gives 4 +1 oops", "session_id": 7467, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "my bad", "session_id": 7467, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "its fine", "session_id": 7467, "sequence_id": 43, "annotations": []}
{"role": "student", "content": "I get it now", "session_id": 7467, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "Sorry for the error", "session_id": 7467, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "I think to fats when I work alone LOL", "session_id": 7467, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "and this matches my calculaotr", "session_id": 7467, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": ":)", "session_id": 7467, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "lol its okay it matches mine too", "session_id": 7467, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "good", "session_id": 7467, "sequence_id": 50, "annotations": []}
{"role": "student", "content": "can I write a new prob on the board for u to help me with", "session_id": 7467, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "Yes", "session_id": 7467, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "May I erase the bd first?", "session_id": 7467, "sequence_id": 53, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 7467, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "OK good ahead", "session_id": 7467, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "we have room", "session_id": 7467, "sequence_id": 56, "annotations": []}
{"role": "student", "content": "okay this is it", "session_id": 7467, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 7467, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "I would rewrite the sqroot using i Can u do that?", "session_id": 7467, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "I disagree", "session_id": 7467, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "If you use sqroot u still need the 4", "session_id": 7467, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "Remember sqroot(4) = 2", "session_id": 7467, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "yes good", "session_id": 7467, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "Now keep going if u can", "session_id": 7467, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "what about the cross terms?", "session_id": 7467, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "so you know what I mean?", "session_id": 7467, "sequence_id": 66, "annotations": []}
{"role": "student", "content": "no", "session_id": 7467, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "OK will write", "session_id": 7467, "sequence_id": 68, "annotations": []}
{"role": "student", "content": "ok", "session_id": 7467, "sequence_id": 69, "annotations": []}
{"role": "student", "content": "ohhh", "session_id": 7467, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "does that help?", "session_id": 7467, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "follow the colors", "session_id": 7467, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "unless you are color blind", "session_id": 7467, "sequence_id": 73, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 7467, "sequence_id": 74, "annotations": []}
{"role": "student", "content": "I'm not colorblind lol", "session_id": 7467, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "ok does thismake sense now?", "session_id": 7467, "sequence_id": 76, "annotations": []}
{"role": "student", "content": "yeah thank u", "session_id": 7467, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "do u have another simila one?", "session_id": 7467, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "similar*", "session_id": 7467, "sequence_id": 79, "annotations": []}
{"role": "student", "content": "yeah I'll write it", "session_id": 7467, "sequence_id": 80, "annotations": []}
{"role": "volunteer", "content": "wait", "session_id": 7467, "sequence_id": 81, "annotations": []}
{"role": "volunteer", "content": "may I clear the bd", "session_id": 7467, "sequence_id": 82, "annotations": []}
{"role": "student", "content": "yeas", "session_id": 7467, "sequence_id": 83, "annotations": []}
{"role": "volunteer", "content": "OK start at top pls", "session_id": 7467, "sequence_id": 84, "annotations": []}
{"role": "student", "content": "that's it", "session_id": 7467, "sequence_id": 85, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 7467, "sequence_id": 86, "annotations": []}
{"role": "volunteer", "content": "I think there are several ways to do this", "session_id": 7467, "sequence_id": 87, "annotations": []}
{"role": "volunteer", "content": "I suggest you start by using i", "session_id": 7467, "sequence_id": 88, "annotations": []}
{"role": "volunteer", "content": "wait", "session_id": 7467, "sequence_id": 89, "annotations": []}
{"role": "volunteer", "content": "first where are the i's ?", "session_id": 7467, "sequence_id": 90, "annotations": []}
{"role": "volunteer", "content": "second", "session_id": 7467, "sequence_id": 91, "annotations": []}
{"role": "volunteer", "content": "sqroot(4) is 2", "session_id": 7467, "sequence_id": 92, "annotations": []}
{"role": "volunteer", "content": "but is qsqroot(3) = 3?", "session_id": 7467, "sequence_id": 93, "annotations": []}
{"role": "volunteer", "content": "good keep going", "session_id": 7467, "sequence_id": 94, "annotations": []}
{"role": "volunteer", "content": "good", "session_id": 7467, "sequence_id": 95, "annotations": []}
{"role": "volunteer", "content": "now combine the i's", "session_id": 7467, "sequence_id": 96, "annotations": []}
{"role": "volunteer", "content": "ok but what is i*i = i^2", "session_id": 7467, "sequence_id": 97, "annotations": []}
{"role": "volunteer", "content": "I will write", "session_id": 7467, "sequence_id": 98, "annotations": []}
{"role": "volunteer", "content": "Do u understand what I did?", "session_id": 7467, "sequence_id": 99, "annotations": []}
{"role": "student", "content": "yes", "session_id": 7467, "sequence_id": 100, "annotations": []}
{"role": "volunteer", "content": "now what is i^2?", "session_id": 7467, "sequence_id": 101, "annotations": []}
{"role": "student", "content": "-1", "session_id": 7467, "sequence_id": 102, "annotations": []}
{"role": "volunteer", "content": "yes so what is the answer?", "session_id": 7467, "sequence_id": 103, "annotations": []}
{"role": "volunteer", "content": "Yes", "session_id": 7467, "sequence_id": 104, "annotations": []}
{"role": "student", "content": "thank u", "session_id": 7467, "sequence_id": 105, "annotations": []}
{"role": "volunteer", "content": "we got some confetti for that", "session_id": 7467, "sequence_id": 106, "annotations": []}
{"role": "student", "content": "loll", "session_id": 7467, "sequence_id": 107, "annotations": []}
{"role": "student", "content": "I have a new one", "session_id": 7467, "sequence_id": 108, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 7467, "sequence_id": 109, "annotations": []}
{"role": "student", "content": "this one is extracting using square roots", "session_id": 7467, "sequence_id": 110, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 7467, "sequence_id": 111, "annotations": []}
{"role": "volunteer", "content": "are you supposed to solve for x?", "session_id": 7467, "sequence_id": 112, "annotations": []}
{"role": "student", "content": "yes", "session_id": 7467, "sequence_id": 113, "annotations": []}
{"role": "volunteer", "content": "ok what do u think u should do first?", "session_id": 7467, "sequence_id": 114, "annotations": []}
{"role": "volunteer", "content": "I agree", "session_id": 7467, "sequence_id": 115, "annotations": []}
{"role": "volunteer", "content": "pls keep going", "session_id": 7467, "sequence_id": 116, "annotations": []}
{"role": "volunteer", "content": "good", "session_id": 7467, "sequence_id": 117, "annotations": []}
{"role": "volunteer", "content": "and next?", "session_id": 7467, "sequence_id": 118, "annotations": []}
{"role": "volunteer", "content": "almost", "session_id": 7467, "sequence_id": 119, "annotations": []}
{"role": "volunteer", "content": "I htink there are two x values", "session_id": 7467, "sequence_id": 120, "annotations": []}
{"role": "volunteer", "content": "One of them *is* 7", "session_id": 7467, "sequence_id": 121, "annotations": []}
{"role": "volunteer", "content": "I am confused", "session_id": 7467, "sequence_id": 122, "annotations": []}
{"role": "volunteer", "content": "x = 7 works", "session_id": 7467, "sequence_id": 123, "annotations": []}
{"role": "volunteer", "content": "does x = -1 work?", "session_id": 7467, "sequence_id": 124, "annotations": []}
{"role": "volunteer", "content": "OK now I agree", "session_id": 7467, "sequence_id": 125, "annotations": []}
{"role": "volunteer", "content": "I will cricle", "session_id": 7467, "sequence_id": 126, "annotations": []}
{"role": "volunteer", "content": "that should be plus or minsu 3", "session_id": 7467, "sequence_id": 127, "annotations": []}
{"role": "volunteer", "content": "Do ua gree?", "session_id": 7467, "sequence_id": 128, "annotations": []}
{"role": "volunteer", "content": "agree*", "session_id": 7467, "sequence_id": 129, "annotations": []}
{"role": "student", "content": "yes", "session_id": 7467, "sequence_id": 130, "annotations": []}
{"role": "volunteer", "content": "OK good", "session_id": 7467, "sequence_id": 131, "annotations": []}
{"role": "volunteer", "content": "I have time for one more", "session_id": 7467, "sequence_id": 132, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 7467, "sequence_id": 133, "annotations": []}
{"role": "student", "content": "solve by factoring", "session_id": 7467, "sequence_id": 134, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 7467, "sequence_id": 135, "annotations": []}
{"role": "volunteer", "content": "pls continue", "session_id": 7467, "sequence_id": 136, "annotations": []}
{"role": "student", "content": "idk what to do", "session_id": 7467, "sequence_id": 137, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 7467, "sequence_id": 138, "annotations": []}
{"role": "volunteer", "content": "can u factor out a 2y?", "session_id": 7467, "sequence_id": 139, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 7467, "sequence_id": 140, "annotations": []}
{"role": "volunteer", "content": "but that is not exactly factoring", "session_id": 7467, "sequence_id": 141, "annotations": []}
{"role": "volunteer", "content": "I will show you what   had in mind OK?", "session_id": 7467, "sequence_id": 142, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 7467, "sequence_id": 143, "annotations": []}
{"role": "volunteer", "content": "does that help?", "session_id": 7467, "sequence_id": 144, "annotations": []}
{"role": "volunteer", "content": "I iwll explain A and B soon", "session_id": 7467, "sequence_id": 145, "annotations": []}
{"role": "student", "content": "yes pls continue", "session_id": 7467, "sequence_id": 146, "annotations": []}
{"role": "volunteer", "content": "OK Now A*B = 0 so either A or B (or both) are zero", "session_id": 7467, "sequence_id": 147, "annotations": []}
{"role": "volunteer", "content": "so if 2y = 0 what is y?", "session_id": 7467, "sequence_id": 148, "annotations": []}
{"role": "student", "content": "0", "session_id": 7467, "sequence_id": 149, "annotations": []}
{"role": "volunteer", "content": "good", "session_id": 7467, "sequence_id": 150, "annotations": []}
{"role": "volunteer", "content": "and id 2y - 3 = 0 what is y?", "session_id": 7467, "sequence_id": 151, "annotations": []}
{"role": "volunteer", "content": "if*'", "session_id": 7467, "sequence_id": 152, "annotations": []}
{"role": "student", "content": "3/2", "session_id": 7467, "sequence_id": 153, "annotations": []}
{"role": "volunteer", "content": "I agree", "session_id": 7467, "sequence_id": 154, "annotations": []}
{"role": "volunteer", "content": "I htink those are the answers", "session_id": 7467, "sequence_id": 155, "annotations": []}
{"role": "volunteer", "content": "IF you had divided by 2y", "session_id": 7467, "sequence_id": 156, "annotations": []}
{"role": "volunteer", "content": "youwould have lost one of them", "session_id": 7467, "sequence_id": 157, "annotations": []}
{"role": "student", "content": "ohh okay", "session_id": 7467, "sequence_id": 158, "annotations": []}
{"role": "volunteer", "content": "unless you wnet back and though t that you cannot div by zero etc", "session_id": 7467, "sequence_id": 159, "annotations": []}
{"role": "volunteer", "content": "Ok I msut go now", "session_id": 7467, "sequence_id": 160, "annotations": []}
{"role": "volunteer", "content": "Must make businesss phone call", "session_id": 7467, "sequence_id": 161, "annotations": []}
{"role": "student", "content": "okay thx for the help", "session_id": 7467, "sequence_id": 162, "annotations": []}
{"role": "student", "content": "bye bye", "session_id": 7467, "sequence_id": 163, "annotations": []}
{"role": "volunteer", "content": "You did well BYE for now", "session_id": 7467, "sequence_id": 164, "annotations": []}
{"role": "volunteer", "content": "hello", "session_id": 7618, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "Hi, I need some help with some polynomials please", "session_id": 7618, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "I need to find all solutions of the equations, I got two problems till I finish this sheet and I completely forgot how to do it", "session_id": 7618, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "what method have you been using in class? do they let you graph it?", "session_id": 7618, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "no, we were using this formula x^2-(sum)x+(Product)", "session_id": 7618, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "wait that's for the first half my bad", "session_id": 7618, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "this is a cubic, not a quadratic", "session_id": 7618, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "I can graph it yes", "session_id": 7618, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "are you familiar with rational roots theorem?", "session_id": 7618, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "Basically you need to find one solution, and then you can you use synthetic division to reduce it to a quadratic", "session_id": 7618, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "If you graph it, that will suggest a solution.", "session_id": 7618, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "Now you are all set.  very good", "session_id": 7618, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "now what do I do?", "session_id": 7618, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "Now you have a quadratic, so you can either factor it or use the quadratic formula.", "session_id": 7618, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "1/3 ?", "session_id": 7618, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "you can check and see if that works?  Does 1/3 work?", "session_id": 7618, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "yes", "session_id": 7618, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "that's good.", "session_id": 7618, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "now I have x^4 + 3x^3 - 30x^2 - 6x + 56 = 0", "session_id": 7618, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "Again, graphing should suggest a rational root", "session_id": 7618, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "because of the rational root theorem, if there is a rational root, it must be an integer", "session_id": 7618, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "an integer that divides into 56", "session_id": 7618, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "4?", "session_id": 7618, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "Try it", "session_id": 7618, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "use synthetic division to check.", "session_id": 7618, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "synthetic div is often faster and easier than plugging in and, if it works, then you have a polynomial of lower degree to work with.", "session_id": 7618, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "good. Now try -7", "session_id": 7618, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "Why the question mark?", "session_id": 7618, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "It looks like you are all set with this  problem.", "session_id": 7618, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "Was making sure I wrote the quadratic properly", "session_id": 7618, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "Awesome!", "session_id": 7618, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "You said you had two polynomials. So are you set now?", "session_id": 7618, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "Yep, now I just gotta finish 8 more sheets before next period", "session_id": 7618, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "Thanks for your help!", "session_id": 7618, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "You are very welcome", "session_id": 7618, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "Have a good afternoon", "session_id": 7618, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "bye", "session_id": 7618, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "You too!", "session_id": 7618, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "hi", "session_id": 7532, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "hello, i have two problems i am confused about", "session_id": 7532, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "they are derivates", "session_id": 7532, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "this?", "session_id": 7532, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "yup", "session_id": 7532, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "Do you remember how chain rule works?", "session_id": 7532, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "i think so", "session_id": 7532, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "chain rule again", "session_id": 7532, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "i got confused because also we learned the rule that d/dx e^u(x) = e^u(x) times u'(x)", "session_id": 7532, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "yeah, that's exactly what we did, didn't we?", "session_id": 7532, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "but with both cos and 4 times x, i don't understand", "session_id": 7532, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "but what the difference?", "session_id": 7532, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "you do completely the same thing", "session_id": 7532, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "how am i supposed to realize that we need the derivatives of both cos and 4 x", "session_id": 7532, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "because 4x is inside of cos", "session_id": 7532, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "and it is still the chain rule", "session_id": 7532, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "so would the first part be", "session_id": 7532, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "true", "session_id": 7532, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "ok i think i get that first part", "session_id": 7532, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "does it make sense?", "session_id": 7532, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "is it the product rule?", "session_id": 7532, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 7532, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "does it make sense?", "session_id": 7532, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "yes! can you please go over though again the first part since i still don't get how the e^cos(4x) follows the e^u(x) rule", "session_id": 7532, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "is it both that rule and chain rule combined?", "session_id": 7532, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 7532, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "after you did this step, you forget about e^cos(4x), b/c you need to find the derivative of this cos(4x)", "session_id": 7532, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "oh i see wow", "session_id": 7532, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "there is another problem i need help with please", "session_id": 7532, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "5 is not related to x, so we can just put it outside", "session_id": 7532, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "ok", "session_id": 7532, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "I forgot a little bit, give me a second", "session_id": 7532, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "sure", "session_id": 7532, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "how is it just cosx?", "session_id": 7532, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "yeah, you are right", "session_id": 7532, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "ln(x) is the integral of 1/x, nevermind", "session_id": 7532, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "i don't know integrals yet, we only learned limits and derivatives", "session_id": 7532, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "yes, that's okay", "session_id": 7532, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "there is your answer", "session_id": 7532, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "can you simplify it fully", "session_id": 7532, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "what?", "session_id": 7532, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "i mean is this fully simplified or is there any other steps to further it", "session_id": 7532, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "no, you cannot do anything else with this", "session_id": 7532, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "sounds good", "session_id": 7532, "sequence_id": 43, "annotations": []}
{"role": "student", "content": "i have one last problem", "session_id": 7532, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "it is a word problem so i will type it here", "session_id": 7532, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "i really appreciate your time and patience! i have a big test tomorrow and this is super helpful", "session_id": 7532, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "you are welcome", "session_id": 7532, "sequence_id": 47, "annotations": []}
{"role": "student", "content": "an equation of motion is given, where s is measured in meters and t in seconds. \n\ns = f(t) = 2t^3-9t^2\n\na) find the time(s) at which the acceleration is 0\n\nb) find the displacement (position) and velocity at these times\n\nc) find the time period(s) when the particle is speeding up and when it is slowing down", "session_id": 7532, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "the equation of motion it is your speed", "session_id": 7532, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "the acceleration is a derivative of speed", "session_id": 7532, "sequence_id": 50, "annotations": []}
{"role": "student", "content": "isn't a when velocity is 0?", "session_id": 7532, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "\"acceleration is zero\"", "session_id": 7532, "sequence_id": 52, "annotations": []}
{"role": "student", "content": "because isn't a(t) = v'(t) = f''(t)", "session_id": 7532, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "f(t) = v(t)", "session_id": 7532, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "oh nevermind", "session_id": 7532, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "I am not right", "session_id": 7532, "sequence_id": 56, "annotations": []}
{"role": "student", "content": "ok", "session_id": 7532, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "s is in meters", "session_id": 7532, "sequence_id": 58, "annotations": []}
{"role": "student", "content": "oh! i see, let me quickly jot this down on my paper", "session_id": 7532, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "eh, what?", "session_id": 7532, "sequence_id": 60, "annotations": []}
{"role": "student", "content": "parts a and b make sense!", "session_id": 7532, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "okay, that's good", "session_id": 7532, "sequence_id": 62, "annotations": []}
{"role": "student", "content": "my teacher said we need to see when the a(t) and v(t) are >0, so we can graph when they have the same vs. different signs for speeding up and slowing down", "session_id": 7532, "sequence_id": 63, "annotations": []}
{"role": "student", "content": "can you please explain it this way with all of those parts", "session_id": 7532, "sequence_id": 64, "annotations": []}
{"role": "student", "content": "and show them on the line graph", "session_id": 7532, "sequence_id": 65, "annotations": []}
{"role": "student", "content": "but for t=0 and t=3 would it be > or <", "session_id": 7532, "sequence_id": 66, "annotations": []}
{"role": "student", "content": "can you explain for figuring out forward and backward?", "session_id": 7532, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "v(t) doesn't really give you any useful information, because if it is positive, then it move to the right, if it is negative it moves to the left", "session_id": 7532, "sequence_id": 68, "annotations": []}
{"role": "student", "content": "okay, then how do we figure the forward and backward out", "session_id": 7532, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "a(t) is more valuable because we can clearly see where is is slowing down and speeding up", "session_id": 7532, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "Do you need to find when it is forward and backward or you just want to know?", "session_id": 7532, "sequence_id": 71, "annotations": []}
{"role": "student", "content": "we need that as well to get the problem correct even though its not directly asked", "session_id": 7532, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "okay", "session_id": 7532, "sequence_id": 73, "annotations": []}
{"role": "student", "content": "how did you figure that out from t=0 and t=3", "session_id": 7532, "sequence_id": 74, "annotations": []}
{"role": "volunteer", "content": "I factored 6t", "session_id": 7532, "sequence_id": 75, "annotations": []}
{"role": "student", "content": "but like which was forward vs. backward", "session_id": 7532, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "I took the random number in range of 0 to 3", "session_id": 7532, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "1 for example", "session_id": 7532, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "and substitute it in the equation", "session_id": 7532, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "it is important, because that's how you generally find where are negatives and where are positives", "session_id": 7532, "sequence_id": 80, "annotations": []}
{"role": "volunteer", "content": "so we have 6*1-18*1  = -12 <0", "session_id": 7532, "sequence_id": 81, "annotations": []}
{"role": "volunteer", "content": "v < 0 --> backward", "session_id": 7532, "sequence_id": 82, "annotations": []}
{"role": "student", "content": "oh! so then t>3 is the general formula for forward and 0<t<3 for backward, because time cant be negative", "session_id": 7532, "sequence_id": 83, "annotations": []}
{"role": "volunteer", "content": "yeah, you are right", "session_id": 7532, "sequence_id": 84, "annotations": []}
{"role": "student", "content": "would this be the final answer:", "session_id": 7532, "sequence_id": 85, "annotations": []}
{"role": "student", "content": "slow down: 3/2<t<3 and speed up: 0<t<3/2, t>3", "session_id": 7532, "sequence_id": 86, "annotations": []}
{"role": "volunteer", "content": "oh, I understood why you need to find the velocity either. To change the direction car need to slow down", "session_id": 7532, "sequence_id": 87, "annotations": []}
{"role": "volunteer", "content": "and then speed up", "session_id": 7532, "sequence_id": 88, "annotations": []}
{"role": "student", "content": "oh that makes sense", "session_id": 7532, "sequence_id": 89, "annotations": []}
{"role": "student", "content": "this clarifies a lot, thank you so much!", "session_id": 7532, "sequence_id": 90, "annotations": []}
{"role": "student", "content": "have a nice day!", "session_id": 7532, "sequence_id": 91, "annotations": []}
{"role": "volunteer", "content": "well, it still doesn't make sense", "session_id": 7532, "sequence_id": 92, "annotations": []}
{"role": "student", "content": "oh, i thought it did", "session_id": 7532, "sequence_id": 93, "annotations": []}
{"role": "student", "content": "what am i missing?", "session_id": 7532, "sequence_id": 94, "annotations": []}
{"role": "volunteer", "content": "car slowed down before 3/2, then speed up after that, then somehow slowdown again before t=3 to change the direction and then speed up again to actually move", "session_id": 7532, "sequence_id": 95, "annotations": []}
{"role": "student", "content": "i thought it sped up, slowed down, then sped up again, because isn't it figured out by same vs different velocity and acceleration signs", "session_id": 7532, "sequence_id": 96, "annotations": []}
{"role": "volunteer", "content": "there must be slow down before 3, but we know that after 3/2 it was speed up", "session_id": 7532, "sequence_id": 97, "annotations": []}
{"role": "volunteer", "content": "yeah you are right actually", "session_id": 7532, "sequence_id": 98, "annotations": []}
{"role": "student", "content": "ok phew", "session_id": 7532, "sequence_id": 99, "annotations": []}
{"role": "student", "content": "is there anything else we should work on here are my test topics", "session_id": 7532, "sequence_id": 100, "annotations": []}
{"role": "volunteer", "content": "You are doing great", "session_id": 7532, "sequence_id": 101, "annotations": []}
{"role": "student", "content": "trig derivatives, trig proofs (sinx, cosx, tanx, secx), chain rule, derivative of a^x, e^u(x), and a^u(x), implicit differentiation, speeding up/slowing down problems", "session_id": 7532, "sequence_id": 102, "annotations": []}
{"role": "volunteer", "content": "I would recommend you practice some problems with chain rule. Also memorize very well how d/dx for all trig formulas", "session_id": 7532, "sequence_id": 103, "annotations": []}
{"role": "student", "content": "can we work on those please", "session_id": 7532, "sequence_id": 104, "annotations": []}
{"role": "volunteer", "content": "for the memorization", "session_id": 7532, "sequence_id": 105, "annotations": []}
{"role": "volunteer", "content": "do you know how it works right?", "session_id": 7532, "sequence_id": 106, "annotations": []}
{"role": "student", "content": "the proofs?", "session_id": 7532, "sequence_id": 107, "annotations": []}
{"role": "volunteer", "content": "they doesn't teach this trick because it doesn't really have mathematical basis under it (or maybe does, I don't know) but if you look on how positive one and negative one placed for cos and sin, it will look the same as trig derivative transformations", "session_id": 7532, "sequence_id": 108, "annotations": []}
{"role": "student", "content": "im kind of confused", "session_id": 7532, "sequence_id": 109, "annotations": []}
{"role": "volunteer", "content": "that's kinda weird but it did really helped me, b/c I forgot every time", "session_id": 7532, "sequence_id": 110, "annotations": []}
{"role": "volunteer", "content": "well, you know rthat how trig derivative tranformation works", "session_id": 7532, "sequence_id": 111, "annotations": []}
{"role": "student", "content": "it definitely helps but can you please explain it in differnet words", "session_id": 7532, "sequence_id": 112, "annotations": []}
{"role": "student", "content": "i know the derivative of sinx is cosx and the derivative of cosx is -sinx", "session_id": 7532, "sequence_id": 113, "annotations": []}
{"role": "student", "content": "oh! i get it now", "session_id": 7532, "sequence_id": 114, "annotations": []}
{"role": "student", "content": "this does help a loct", "session_id": 7532, "sequence_id": 115, "annotations": []}
{"role": "volunteer", "content": "cool, right?", "session_id": 7532, "sequence_id": 116, "annotations": []}
{"role": "student", "content": "yes!", "session_id": 7532, "sequence_id": 117, "annotations": []}
{"role": "volunteer", "content": "I hope it will help you in the future, but we need to do some problems on chain rule", "session_id": 7532, "sequence_id": 118, "annotations": []}
{"role": "student", "content": "sounds good", "session_id": 7532, "sequence_id": 119, "annotations": []}
{"role": "student", "content": "this one was a bit easy!", "session_id": 7532, "sequence_id": 120, "annotations": []}
{"role": "student", "content": "can we do this example", "session_id": 7532, "sequence_id": 121, "annotations": []}
{"role": "volunteer", "content": "good", "session_id": 7532, "sequence_id": 122, "annotations": []}
{"role": "student", "content": "sin^2x/cosx", "session_id": 7532, "sequence_id": 123, "annotations": []}
{"role": "student", "content": "is that right unsimplified?", "session_id": 7532, "sequence_id": 124, "annotations": []}
{"role": "volunteer", "content": "please, write d/dx when you are doing chain rule b/c it is very easy to lost which must be derivated", "session_id": 7532, "sequence_id": 125, "annotations": []}
{"role": "student", "content": "ok!", "session_id": 7532, "sequence_id": 126, "annotations": []}
{"role": "student", "content": "where did i go wrong?", "session_id": 7532, "sequence_id": 127, "annotations": []}
{"role": "volunteer", "content": "well, you did everything right", "session_id": 7532, "sequence_id": 128, "annotations": []}
{"role": "volunteer", "content": "well yeah, you did everything right actually, but I just did not understand what you wrote, so I solved it by myself", "session_id": 7532, "sequence_id": 129, "annotations": []}
{"role": "student", "content": "ok i get this now", "session_id": 7532, "sequence_id": 130, "annotations": []}
{"role": "student", "content": "is there a way to simplify my answer", "session_id": 7532, "sequence_id": 131, "annotations": []}
{"role": "student", "content": "or is it already in simplest form", "session_id": 7532, "sequence_id": 132, "annotations": []}
{"role": "volunteer", "content": "no. you cannot go further", "session_id": 7532, "sequence_id": 133, "annotations": []}
{"role": "volunteer", "content": "there is just nothing to simplify", "session_id": 7532, "sequence_id": 134, "annotations": []}
{"role": "student", "content": "ok sounds good can we do this example next", "session_id": 7532, "sequence_id": 135, "annotations": []}
{"role": "student", "content": "derivative of sin^2x/cosx", "session_id": 7532, "sequence_id": 136, "annotations": []}
{"role": "student", "content": "(simply first)", "session_id": 7532, "sequence_id": 137, "annotations": []}
{"role": "volunteer", "content": "I mean, you could write x^2 + 1 -2x^2 as 1-x^2", "session_id": 7532, "sequence_id": 138, "annotations": []}
{"role": "student", "content": "couldn't we do that", "session_id": 7532, "sequence_id": 139, "annotations": []}
{"role": "volunteer", "content": "of course not", "session_id": 7532, "sequence_id": 140, "annotations": []}
{"role": "student", "content": "oops that makes sense", "session_id": 7532, "sequence_id": 141, "annotations": []}
{"role": "student", "content": "i was mistaken", "session_id": 7532, "sequence_id": 142, "annotations": []}
{"role": "student", "content": "can you erase the board so we can do this derivative of sin^2x/cosx", "session_id": 7532, "sequence_id": 143, "annotations": []}
{"role": "student", "content": "it says simplify first how do we do so", "session_id": 7532, "sequence_id": 144, "annotations": []}
{"role": "volunteer", "content": "I know", "session_id": 7532, "sequence_id": 145, "annotations": []}
{"role": "volunteer", "content": "you know what, if we comeback to previous one, you could actually simplify it like that either. So you was kinda right", "session_id": 7532, "sequence_id": 146, "annotations": []}
{"role": "volunteer", "content": "But here it actually make sense, because make it easier to solve", "session_id": 7532, "sequence_id": 147, "annotations": []}
{"role": "student", "content": "can you run through ir", "session_id": 7532, "sequence_id": 148, "annotations": []}
{"role": "volunteer", "content": "the last step doesn't necessary", "session_id": 7532, "sequence_id": 149, "annotations": []}
{"role": "volunteer", "content": "How are you feeling?", "session_id": 7532, "sequence_id": 150, "annotations": []}
{"role": "student", "content": "i think pretty good", "session_id": 7532, "sequence_id": 151, "annotations": []}
{"role": "volunteer", "content": "cool, good luck on your test tomorrow", "session_id": 7532, "sequence_id": 152, "annotations": []}
{"role": "volunteer", "content": "bye", "session_id": 7532, "sequence_id": 153, "annotations": []}
{"role": "volunteer", "content": "Hey Alex how can I help you?", "session_id": 7457, "sequence_id": 0, "annotations": [{"pii_type": "PERSON", "surrogate": "Alex", "start": 4, "end": 8}]}
{"role": "student", "content": "Hi.", "session_id": 7457, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "Let me upload my picture real quick.", "session_id": 7457, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "I'm doing great. How are you", "session_id": 7457, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "great thanks!", "session_id": 7457, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "All right, can you see it?", "session_id": 7457, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "yes I can see it!", "session_id": 7457, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "OK, I have a couple of questions, so you might want to use your mic.", "session_id": 7457, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "Hey, Alex", "session_id": 7457, "sequence_id": 8, "annotations": [{"pii_type": "PERSON", "surrogate": "Alex", "start": 5, "end": 9}]}
{"role": "student", "content": "Hi Jamie", "session_id": 7457, "sequence_id": 9, "annotations": [{"pii_type": "PERSON", "surrogate": "Jamie", "start": 3, "end": 8}]}
{"role": "volunteer", "content": "What can I help you", "session_id": 7457, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "OK, so a question on my screen is what I need help with.", "session_id": 7457, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "OK. Do you know the equation to find a slope.", "session_id": 7457, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "Not really", "session_id": 7457, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "It's OK. So I'm gonna write it", "session_id": 7457, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "OK", "session_id": 7457, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "on the screen. So it's.", "session_id": 7457, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "All right. So M", "session_id": 7457, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "is slope", "session_id": 7457, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "and then it's", "session_id": 7457, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "y2", "session_id": 7457, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "minus y1", "session_id": 7457, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "over", "session_id": 7457, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "x2", "session_id": 7457, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "O minus x1, sorry, it's like so hard to write on this whiteboard.", "session_id": 7457, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "No, you're fine", "session_id": 7457, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "The question on", "session_id": 7457, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "The question I already gave us two points.", "session_id": 7457, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "So this should be pretty straightforward. So let's find", "session_id": 7457, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "which one we're gonna do x1 and y1 and x2 and y2.", "session_id": 7457, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "So", "session_id": 7457, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "and then it's just a simple plug-in.", "session_id": 7457, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "plug-in problem", "session_id": 7457, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "OK", "session_id": 7457, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "So let's start with this 1st 1, -2.", "session_id": 7457, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "That would be", "session_id": 7457, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "we can use this, this is X, this is Y, X and Y.", "session_id": 7457, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "So negative 2.", "session_id": 7457, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "which one would that one be", "session_id": 7457, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "Um", "session_id": 7457, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "one minute", "session_id": 7457, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "Oh, OK", "session_id": 7457, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 7457, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "Wait, which one would what be? I'm sorry.", "session_id": 7457, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "No, it's OK", "session_id": 7457, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "So", "session_id": 7457, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "x1 and y1 and x2 and y2, that just means", "session_id": 7457, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "like, OK. So let's look at the first point. -2 and 2.", "session_id": 7457, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "So we know that 2 is on the x-axis, right?", "session_id": 7457, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "Yeah.", "session_id": 7457, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "And this is why", "session_id": 7457, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "And then same thing goes for 3 and 4. This is X", "session_id": 7457, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "and this is Y", "session_id": 7457, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "So 2 and 2, let's say we're gonna use that as our first point. So -2 would be x1, and then 2 will be y1.", "session_id": 7457, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "And then 3 would be x2.", "session_id": 7457, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "and then 4 would be y2.", "session_id": 7457, "sequence_id": 55, "annotations": []}
{"role": "student", "content": "OK", "session_id": 7457, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "cause now that's the first point, this is the second point.", "session_id": 7457, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "Then after that, it's just a simple plugin.", "session_id": 7457, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "problem, using the equation. The slope is y2 minus y1 over x2 minus x1.", "session_id": 7457, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "And that's kind of fairly easy to remember. If you keep saying it fast enough every single day, like y2 minus 11 over y1 minus x2. It's a little tongue twister, but once you get it, it's really easy to remember.", "session_id": 7457, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "So y2 is 4.", "session_id": 7457, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "I did the first one", "session_id": 7457, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "Now, which one is y1", "session_id": 7457, "sequence_id": 63, "annotations": []}
{"role": "student", "content": "Um, 2.", "session_id": 7457, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "Good, good job", "session_id": 7457, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "And then x2 is", "session_id": 7457, "sequence_id": 66, "annotations": []}
{"role": "student", "content": "3", "session_id": 7457, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "done", "session_id": 7457, "sequence_id": 68, "annotations": []}
{"role": "student", "content": "And then 2.", "session_id": 7457, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "Good. Well", "session_id": 7457, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "negative too, right", "session_id": 7457, "sequence_id": 71, "annotations": []}
{"role": "student", "content": "Oh yeah, and I gave you 2", "session_id": 7457, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "So we always subtract, so it's gonna be minus", "session_id": 7457, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "2", "session_id": 7457, "sequence_id": 74, "annotations": []}
{"role": "volunteer", "content": "So it's 4 minus 2 and then 3 minus -2.", "session_id": 7457, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "And then after that, we just solve it.", "session_id": 7457, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "So 4 minus 2 is.", "session_id": 7457, "sequence_id": 77, "annotations": []}
{"role": "student", "content": "It's 2", "session_id": 7457, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "good", "session_id": 7457, "sequence_id": 79, "annotations": []}
{"role": "student", "content": "Sorry, I was muted.", "session_id": 7457, "sequence_id": 80, "annotations": []}
{"role": "volunteer", "content": "No, it's OK. And then 3 minus -2. You have two minuses designs.", "session_id": 7457, "sequence_id": 81, "annotations": []}
{"role": "student", "content": "Um, one", "session_id": 7457, "sequence_id": 82, "annotations": []}
{"role": "volunteer", "content": "No. So when you", "session_id": 7457, "sequence_id": 83, "annotations": []}
{"role": "volunteer", "content": "when you subtract a negative, when you have two", "session_id": 7457, "sequence_id": 84, "annotations": []}
{"role": "volunteer", "content": "minuses signs like this.", "session_id": 7457, "sequence_id": 85, "annotations": []}
{"role": "volunteer", "content": "it turns into a positive.", "session_id": 7457, "sequence_id": 86, "annotations": []}
{"role": "student", "content": "Oh", "session_id": 7457, "sequence_id": 87, "annotations": []}
{"role": "volunteer", "content": "Yeah, so it'll be 3 + 2.", "session_id": 7457, "sequence_id": 88, "annotations": []}
{"role": "student", "content": "so 5", "session_id": 7457, "sequence_id": 89, "annotations": []}
{"role": "volunteer", "content": "So 5, yeah, good job", "session_id": 7457, "sequence_id": 90, "annotations": []}
{"role": "student", "content": "And then we divide 5 by 2, right?", "session_id": 7457, "sequence_id": 91, "annotations": []}
{"role": "volunteer", "content": "Well, it's 2/5, and then that's just a slope, that's it.", "session_id": 7457, "sequence_id": 92, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 7457, "sequence_id": 93, "annotations": []}
{"role": "student", "content": "Oh, OK, so B", "session_id": 7457, "sequence_id": 94, "annotations": []}
{"role": "volunteer", "content": "So it would be D", "session_id": 7457, "sequence_id": 95, "annotations": []}
{"role": "student", "content": "Oh wait, no, it would be a cause 5/2, right?", "session_id": 7457, "sequence_id": 96, "annotations": []}
{"role": "volunteer", "content": "No, um, it's always why over X, and that's a slope. So the slope is 2/5.", "session_id": 7457, "sequence_id": 97, "annotations": []}
{"role": "student", "content": "OK", "session_id": 7457, "sequence_id": 98, "annotations": []}
{"role": "volunteer", "content": "Mhm", "session_id": 7457, "sequence_id": 99, "annotations": []}
{"role": "volunteer", "content": "Yeah, you just go straight from the equation, and that's, that's the answer. So why two mind swing over x2 minus x1. Once you solve it, it gets you to over 5, so there's no need to like flip. But yeah, no, that was really good.", "session_id": 7457, "sequence_id": 100, "annotations": []}
{"role": "student", "content": "OK, thank you.", "session_id": 7457, "sequence_id": 101, "annotations": []}
{"role": "volunteer", "content": "You're welcome", "session_id": 7457, "sequence_id": 102, "annotations": []}
{"role": "student", "content": "Um", "session_id": 7457, "sequence_id": 103, "annotations": []}
{"role": "student", "content": "still uploading.", "session_id": 7457, "sequence_id": 104, "annotations": []}
{"role": "volunteer", "content": "Does it tell you if you got the right answer when you upload it?", "session_id": 7457, "sequence_id": 105, "annotations": []}
{"role": "student", "content": "Um, no", "session_id": 7457, "sequence_id": 106, "annotations": []}
{"role": "volunteer", "content": "Mm, OK", "session_id": 7457, "sequence_id": 107, "annotations": []}
{"role": "student", "content": "It tells me at the end.", "session_id": 7457, "sequence_id": 108, "annotations": []}
{"role": "volunteer", "content": "OK, OK", "session_id": 7457, "sequence_id": 109, "annotations": []}
{"role": "volunteer", "content": "All right, so this one", "session_id": 7457, "sequence_id": 110, "annotations": []}
{"role": "volunteer", "content": "oh", "session_id": 7457, "sequence_id": 111, "annotations": []}
{"role": "volunteer", "content": "I'm just gonna", "session_id": 7457, "sequence_id": 112, "annotations": []}
{"role": "volunteer", "content": "erase all this stuff", "session_id": 7457, "sequence_id": 113, "annotations": []}
{"role": "student", "content": "OK", "session_id": 7457, "sequence_id": 114, "annotations": []}
{"role": "volunteer", "content": "And so which equation represents a line through 4 and 5 and 0-3.", "session_id": 7457, "sequence_id": 115, "annotations": []}
{"role": "volunteer", "content": "So now it's asking for", "session_id": 7457, "sequence_id": 116, "annotations": []}
{"role": "volunteer", "content": "a Y equals mx + B formula? Are you familiar with that?", "session_id": 7457, "sequence_id": 117, "annotations": []}
{"role": "student", "content": "Um, yeah, a question, a couple questions ago. I did that one.", "session_id": 7457, "sequence_id": 118, "annotations": []}
{"role": "volunteer", "content": "OK, good", "session_id": 7457, "sequence_id": 119, "annotations": []}
{"role": "student", "content": "Not very good at it, so.", "session_id": 7457, "sequence_id": 120, "annotations": []}
{"role": "volunteer", "content": "It's OK. So Y equals MX + B. This is a basic", "session_id": 7457, "sequence_id": 121, "annotations": []}
{"role": "volunteer", "content": "uh formula equation.", "session_id": 7457, "sequence_id": 122, "annotations": []}
{"role": "volunteer", "content": "for a line", "session_id": 7457, "sequence_id": 123, "annotations": []}
{"role": "student", "content": "um", "session_id": 7457, "sequence_id": 124, "annotations": []}
{"role": "volunteer", "content": "or like a simple straight line on a graph.", "session_id": 7457, "sequence_id": 125, "annotations": []}
{"role": "volunteer", "content": "This is the basic formula.", "session_id": 7457, "sequence_id": 126, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 7457, "sequence_id": 127, "annotations": []}
{"role": "volunteer", "content": "So, we just have to find", "session_id": 7457, "sequence_id": 128, "annotations": []}
{"role": "volunteer", "content": "basically, um, M and B.", "session_id": 7457, "sequence_id": 129, "annotations": []}
{"role": "student", "content": "OK", "session_id": 7457, "sequence_id": 130, "annotations": []}
{"role": "volunteer", "content": "right, so we're gonna do", "session_id": 7457, "sequence_id": 131, "annotations": []}
{"role": "volunteer", "content": "you can just pick 11 point this time. You don't have to pick two.", "session_id": 7457, "sequence_id": 132, "annotations": []}
{"role": "volunteer", "content": "So we're gonna try to find why", "session_id": 7457, "sequence_id": 133, "annotations": []}
{"role": "volunteer", "content": "We have to find M", "session_id": 7457, "sequence_id": 134, "annotations": []}
{"role": "volunteer", "content": "X", "session_id": 7457, "sequence_id": 135, "annotations": []}
{"role": "volunteer", "content": "and B", "session_id": 7457, "sequence_id": 136, "annotations": []}
{"role": "student", "content": "OK", "session_id": 7457, "sequence_id": 137, "annotations": []}
{"role": "student", "content": "So we do it just like the last one, right?", "session_id": 7457, "sequence_id": 138, "annotations": []}
{"role": "volunteer", "content": "Yeah, we also have to use the same formula from the last one too to get the slope.", "session_id": 7457, "sequence_id": 139, "annotations": []}
{"role": "volunteer", "content": "This is, this is gonna be a little, a little longer, I feel like.", "session_id": 7457, "sequence_id": 140, "annotations": []}
{"role": "student", "content": "OK", "session_id": 7457, "sequence_id": 141, "annotations": []}
{"role": "volunteer", "content": "Right, so let's start off with finding um", "session_id": 7457, "sequence_id": 142, "annotations": []}
{"role": "volunteer", "content": "so remember", "session_id": 7457, "sequence_id": 143, "annotations": []}
{"role": "student", "content": "OK. Um", "session_id": 7457, "sequence_id": 144, "annotations": []}
{"role": "volunteer", "content": "Mhm", "session_id": 7457, "sequence_id": 145, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 7457, "sequence_id": 146, "annotations": []}
{"role": "student", "content": "would we divide", "session_id": 7457, "sequence_id": 147, "annotations": []}
{"role": "student", "content": "4 divided by 5?", "session_id": 7457, "sequence_id": 148, "annotations": []}
{"role": "student", "content": "and 0 divided by 30 wait, no, we would divide the x by the X and the y by the y.", "session_id": 7457, "sequence_id": 149, "annotations": []}
{"role": "volunteer", "content": "Mhm", "session_id": 7457, "sequence_id": 150, "annotations": []}
{"role": "student", "content": "So", "session_id": 7457, "sequence_id": 151, "annotations": []}
{"role": "volunteer", "content": "So yeah, let's just plug this in.", "session_id": 7457, "sequence_id": 152, "annotations": []}
{"role": "volunteer", "content": "So, I'll let you tell me. So which one is y2?", "session_id": 7457, "sequence_id": 153, "annotations": []}
{"role": "student", "content": "is 4", "session_id": 7457, "sequence_id": 154, "annotations": []}
{"role": "volunteer", "content": "No. So,", "session_id": 7457, "sequence_id": 155, "annotations": []}
{"role": "student", "content": "Oh, it would be 0. Wait, no, 33.", "session_id": 7457, "sequence_id": 156, "annotations": []}
{"role": "volunteer", "content": "-3, right, because it's X and Y. The first number", "session_id": 7457, "sequence_id": 157, "annotations": []}
{"role": "volunteer", "content": "like in a point", "session_id": 7457, "sequence_id": 158, "annotations": []}
{"role": "volunteer", "content": "is X and then the next one is Y.", "session_id": 7457, "sequence_id": 159, "annotations": []}
{"role": "volunteer", "content": "So all right, so let's do -3.", "session_id": 7457, "sequence_id": 160, "annotations": []}
{"role": "volunteer", "content": "So -3", "session_id": 7457, "sequence_id": 161, "annotations": []}
{"role": "volunteer", "content": "actually", "session_id": 7457, "sequence_id": 162, "annotations": []}
{"role": "volunteer", "content": "I want to change it to red so it's easier.", "session_id": 7457, "sequence_id": 163, "annotations": []}
{"role": "volunteer", "content": "-3, right, so then it's minus", "session_id": 7457, "sequence_id": 164, "annotations": []}
{"role": "volunteer", "content": "y1", "session_id": 7457, "sequence_id": 165, "annotations": []}
{"role": "volunteer", "content": "which is", "session_id": 7457, "sequence_id": 166, "annotations": []}
{"role": "student", "content": "5", "session_id": 7457, "sequence_id": 167, "annotations": []}
{"role": "volunteer", "content": "5, good", "session_id": 7457, "sequence_id": 168, "annotations": []}
{"role": "volunteer", "content": "All right. So that's done with the Y. Now it's over, x2 is.", "session_id": 7457, "sequence_id": 169, "annotations": []}
{"role": "student", "content": "0", "session_id": 7457, "sequence_id": 170, "annotations": []}
{"role": "volunteer", "content": "0", "session_id": 7457, "sequence_id": 171, "annotations": []}
{"role": "volunteer", "content": "minus", "session_id": 7457, "sequence_id": 172, "annotations": []}
{"role": "student", "content": "4", "session_id": 7457, "sequence_id": 173, "annotations": []}
{"role": "volunteer", "content": "4.", "session_id": 7457, "sequence_id": 174, "annotations": []}
{"role": "volunteer", "content": "OK, good", "session_id": 7457, "sequence_id": 175, "annotations": []}
{"role": "volunteer", "content": "OK, let's solve this. So -3 minus 5 is.", "session_id": 7457, "sequence_id": 176, "annotations": []}
{"role": "student", "content": "um 2, -2.", "session_id": 7457, "sequence_id": 177, "annotations": []}
{"role": "student", "content": "So just", "session_id": 7457, "sequence_id": 178, "annotations": []}
{"role": "volunteer", "content": "almost, you're close. You were", "session_id": 7457, "sequence_id": 179, "annotations": []}
{"role": "student", "content": "2", "session_id": 7457, "sequence_id": 180, "annotations": []}
{"role": "student", "content": "Great", "session_id": 7457, "sequence_id": 181, "annotations": []}
{"role": "volunteer", "content": "so it's -3 -5.", "session_id": 7457, "sequence_id": 182, "annotations": []}
{"role": "volunteer", "content": "So it, it's, it is a negative number.", "session_id": 7457, "sequence_id": 183, "annotations": []}
{"role": "volunteer", "content": "So it'll be -3. You're gonna subtract 5, so you're gonna go even more down. You're gonna go even more negative. So it's -3 and then -4, 567.", "session_id": 7457, "sequence_id": 184, "annotations": []}
{"role": "volunteer", "content": "8", "session_id": 7457, "sequence_id": 185, "annotations": []}
{"role": "student", "content": "Oh", "session_id": 7457, "sequence_id": 186, "annotations": []}
{"role": "volunteer", "content": "You see what I did there", "session_id": 7457, "sequence_id": 187, "annotations": []}
{"role": "student", "content": "Not really", "session_id": 7457, "sequence_id": 188, "annotations": []}
{"role": "volunteer", "content": "So", "session_id": 7457, "sequence_id": 189, "annotations": []}
{"role": "student", "content": "Oh, you just like add the -3.", "session_id": 7457, "sequence_id": 190, "annotations": []}
{"role": "volunteer", "content": "yeah, you can, you can do negative 5 minus 3, or you can do -3 -5, it's both the same thing, but when you're doing -3 minus 5, you going, you're gonna keep going down.", "session_id": 7457, "sequence_id": 191, "annotations": []}
{"role": "volunteer", "content": "cause you're subtracting a negative number, so it's going to be even more negative.", "session_id": 7457, "sequence_id": 192, "annotations": []}
{"role": "volunteer", "content": "So then when you use like your fingers to count, you just keep going down. So -3 and then -4, that's 1, -5, that's 267, and then then -8.", "session_id": 7457, "sequence_id": 193, "annotations": []}
{"role": "volunteer", "content": "So that's -3 -5, so it's -8.", "session_id": 7457, "sequence_id": 194, "annotations": []}
{"role": "student", "content": "OK", "session_id": 7457, "sequence_id": 195, "annotations": []}
{"role": "volunteer", "content": "It do you get it?", "session_id": 7457, "sequence_id": 196, "annotations": []}
{"role": "student", "content": "Oh yeah, that makes sense now.", "session_id": 7457, "sequence_id": 197, "annotations": []}
{"role": "volunteer", "content": "Mm", "session_id": 7457, "sequence_id": 198, "annotations": []}
{"role": "volunteer", "content": "All right", "session_id": 7457, "sequence_id": 199, "annotations": []}
{"role": "student", "content": "And", "session_id": 7457, "sequence_id": 200, "annotations": []}
{"role": "student", "content": "uh 0 take away 4.", "session_id": 7457, "sequence_id": 201, "annotations": []}
{"role": "volunteer", "content": "Mhm", "session_id": 7457, "sequence_id": 202, "annotations": []}
{"role": "student", "content": "would be before.", "session_id": 7457, "sequence_id": 203, "annotations": []}
{"role": "volunteer", "content": "For what", "session_id": 7457, "sequence_id": 204, "annotations": []}
{"role": "volunteer", "content": "Not just for", "session_id": 7457, "sequence_id": 205, "annotations": []}
{"role": "volunteer", "content": "0 minus 4 would be.", "session_id": 7457, "sequence_id": 206, "annotations": []}
{"role": "student", "content": "You", "session_id": 7457, "sequence_id": 207, "annotations": []}
{"role": "student", "content": "months.", "session_id": 7457, "sequence_id": 208, "annotations": []}
{"role": "volunteer", "content": "-4", "session_id": 7457, "sequence_id": 209, "annotations": []}
{"role": "student", "content": "Oh, negative.", "session_id": 7457, "sequence_id": 210, "annotations": []}
{"role": "student", "content": "Wait, but there's no", "session_id": 7457, "sequence_id": 211, "annotations": []}
{"role": "volunteer", "content": "Mhm, cause you're taking away.", "session_id": 7457, "sequence_id": 212, "annotations": []}
{"role": "volunteer", "content": "There's", "session_id": 7457, "sequence_id": 213, "annotations": []}
{"role": "student", "content": "oh", "session_id": 7457, "sequence_id": 214, "annotations": []}
{"role": "volunteer", "content": "you see", "session_id": 7457, "sequence_id": 215, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 7457, "sequence_id": 216, "annotations": []}
{"role": "volunteer", "content": "All right, so then", "session_id": 7457, "sequence_id": 217, "annotations": []}
{"role": "volunteer", "content": "so now 8 divided by 4 is", "session_id": 7457, "sequence_id": 218, "annotations": []}
{"role": "student", "content": "Eat the better for is", "session_id": 7457, "sequence_id": 219, "annotations": []}
{"role": "volunteer", "content": "good", "session_id": 7457, "sequence_id": 220, "annotations": []}
{"role": "student", "content": "2.", "session_id": 7457, "sequence_id": 221, "annotations": []}
{"role": "volunteer", "content": "So since you're dividing,", "session_id": 7457, "sequence_id": 222, "annotations": []}
{"role": "volunteer", "content": "to negative numbers, it's 8 divided by -4.", "session_id": 7457, "sequence_id": 223, "annotations": []}
{"role": "student", "content": "Uh", "session_id": 7457, "sequence_id": 224, "annotations": []}
{"role": "volunteer", "content": "It would be positive. It's like the same rule with subtracting a negative sign.", "session_id": 7457, "sequence_id": 225, "annotations": []}
{"role": "volunteer", "content": "You know, when we subtracted both the negative signs, it turned positive.", "session_id": 7457, "sequence_id": 226, "annotations": []}
{"role": "student", "content": "Oh yeah.", "session_id": 7457, "sequence_id": 227, "annotations": []}
{"role": "volunteer", "content": "Yeah, it's like the same thing when you divide two negative signs, it also turns positive. It cancels it out. So it's not negative too, it'll be positive too.", "session_id": 7457, "sequence_id": 228, "annotations": []}
{"role": "volunteer", "content": "So M is positive too.", "session_id": 7457, "sequence_id": 229, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 7457, "sequence_id": 230, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 7457, "sequence_id": 231, "annotations": []}
{"role": "volunteer", "content": "So", "session_id": 7457, "sequence_id": 232, "annotations": []}
{"role": "volunteer", "content": "it's Y equals", "session_id": 7457, "sequence_id": 233, "annotations": []}
{"role": "volunteer", "content": "2 X", "session_id": 7457, "sequence_id": 234, "annotations": []}
{"role": "student", "content": "OK, what would be B?", "session_id": 7457, "sequence_id": 235, "annotations": []}
{"role": "volunteer", "content": "Do you know what B means?", "session_id": 7457, "sequence_id": 236, "annotations": []}
{"role": "student", "content": "No", "session_id": 7457, "sequence_id": 237, "annotations": []}
{"role": "volunteer", "content": "Do you know what it means? It means um", "session_id": 7457, "sequence_id": 238, "annotations": []}
{"role": "volunteer", "content": "why intercept. So it's the number.", "session_id": 7457, "sequence_id": 239, "annotations": []}
{"role": "volunteer", "content": "where why", "session_id": 7457, "sequence_id": 240, "annotations": []}
{"role": "volunteer", "content": "I'm sorry, hold on. It's a number where um", "session_id": 7457, "sequence_id": 241, "annotations": []}
{"role": "volunteer", "content": "X equals 0", "session_id": 7457, "sequence_id": 242, "annotations": []}
{"role": "volunteer", "content": "or willy equals 0", "session_id": 7457, "sequence_id": 243, "annotations": []}
{"role": "volunteer", "content": "So let's look", "session_id": 7457, "sequence_id": 244, "annotations": []}
{"role": "volunteer", "content": "when, when X equals 0.", "session_id": 7457, "sequence_id": 245, "annotations": []}
{"role": "volunteer", "content": "So we're gonna look at the points", "session_id": 7457, "sequence_id": 246, "annotations": []}
{"role": "volunteer", "content": "and I already gave it to us. So what is", "session_id": 7457, "sequence_id": 247, "annotations": []}
{"role": "volunteer", "content": "the Y value when X is 0.", "session_id": 7457, "sequence_id": 248, "annotations": []}
{"role": "student", "content": "-3", "session_id": 7457, "sequence_id": 249, "annotations": []}
{"role": "volunteer", "content": "-3, yeah. So then that's, that's B.", "session_id": 7457, "sequence_id": 250, "annotations": []}
{"role": "student", "content": "Yeah, so the questions be right.", "session_id": 7457, "sequence_id": 251, "annotations": []}
{"role": "volunteer", "content": "That's, this is it. We solved it.", "session_id": 7457, "sequence_id": 252, "annotations": []}
{"role": "student", "content": "So it'd be", "session_id": 7457, "sequence_id": 253, "annotations": []}
{"role": "volunteer", "content": "right", "session_id": 7457, "sequence_id": 254, "annotations": []}
{"role": "student", "content": "y equals", "session_id": 7457, "sequence_id": 255, "annotations": []}
{"role": "student", "content": "2 times -3, so a.", "session_id": 7457, "sequence_id": 256, "annotations": []}
{"role": "volunteer", "content": "Two acts, not times, remember do try not to confuse that.", "session_id": 7457, "sequence_id": 257, "annotations": []}
{"role": "volunteer", "content": "It would be to act because 2 times that's like a whole different thing.", "session_id": 7457, "sequence_id": 258, "annotations": []}
{"role": "student", "content": "2 X", "session_id": 7457, "sequence_id": 259, "annotations": []}
{"role": "volunteer", "content": "Yeah, yeah. Good. You're doing great.", "session_id": 7457, "sequence_id": 260, "annotations": []}
{"role": "student", "content": "So it would be me, right?", "session_id": 7457, "sequence_id": 261, "annotations": []}
{"role": "volunteer", "content": "It, it would be A, yes.", "session_id": 7457, "sequence_id": 262, "annotations": []}
{"role": "student", "content": "Um", "session_id": 7457, "sequence_id": 263, "annotations": []}
{"role": "student", "content": "All right, this is our last question.", "session_id": 7457, "sequence_id": 264, "annotations": []}
{"role": "student", "content": "OK", "session_id": 7457, "sequence_id": 265, "annotations": []}
{"role": "volunteer", "content": "Awesome", "session_id": 7457, "sequence_id": 266, "annotations": []}
{"role": "volunteer", "content": "confetti", "session_id": 7457, "sequence_id": 267, "annotations": []}
{"role": "student", "content": "OK, this one should be easy.", "session_id": 7457, "sequence_id": 268, "annotations": []}
{"role": "student", "content": "Can I just delete all that? OK.", "session_id": 7457, "sequence_id": 269, "annotations": []}
{"role": "student", "content": "This one should be really easy.", "session_id": 7457, "sequence_id": 270, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 7457, "sequence_id": 271, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 7457, "sequence_id": 272, "annotations": []}
{"role": "volunteer", "content": "This is an even more solving. This is more of um", "session_id": 7457, "sequence_id": 273, "annotations": []}
{"role": "volunteer", "content": "like knowing, but we can do process of elimination.", "session_id": 7457, "sequence_id": 274, "annotations": []}
{"role": "student", "content": "OK", "session_id": 7457, "sequence_id": 275, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 7457, "sequence_id": 276, "annotations": []}
{"role": "student", "content": "So I don't think it's 0", "session_id": 7457, "sequence_id": 277, "annotations": []}
{"role": "volunteer", "content": "Why", "session_id": 7457, "sequence_id": 278, "annotations": []}
{"role": "student", "content": "because", "session_id": 7457, "sequence_id": 279, "annotations": []}
{"role": "student", "content": "I don't know, it just doesn't look like it'd be set, 0.", "session_id": 7457, "sequence_id": 280, "annotations": []}
{"role": "volunteer", "content": "All right, let, let's let's go, let's look at the", "session_id": 7457, "sequence_id": 281, "annotations": []}
{"role": "volunteer", "content": "the ones that you really don't know it is. So", "session_id": 7457, "sequence_id": 282, "annotations": []}
{"role": "volunteer", "content": "let's look at C negative. Does it look like a negative slope.", "session_id": 7457, "sequence_id": 283, "annotations": []}
{"role": "student", "content": "No", "session_id": 7457, "sequence_id": 284, "annotations": []}
{"role": "volunteer", "content": "No, right. Do you know how a negative so looks like?", "session_id": 7457, "sequence_id": 285, "annotations": []}
{"role": "student", "content": "Mm.", "session_id": 7457, "sequence_id": 286, "annotations": []}
{"role": "student", "content": "So just like a tea", "session_id": 7457, "sequence_id": 287, "annotations": []}
{"role": "volunteer", "content": "Uh, no, I'm sorry, this is a graph, but this is, this is considered a negative slope.", "session_id": 7457, "sequence_id": 288, "annotations": []}
{"role": "student", "content": "00 yeah, OK", "session_id": 7457, "sequence_id": 289, "annotations": []}
{"role": "volunteer", "content": "Mhm cause the numbers, you see, I was like going down. It's like you're going down the stairs.", "session_id": 7457, "sequence_id": 290, "annotations": []}
{"role": "student", "content": "Oh, so it's like slanted.", "session_id": 7457, "sequence_id": 291, "annotations": []}
{"role": "volunteer", "content": "Yeah, well, it's like slanted to this side.", "session_id": 7457, "sequence_id": 292, "annotations": []}
{"role": "volunteer", "content": "and then a positive slope.", "session_id": 7457, "sequence_id": 293, "annotations": []}
{"role": "volunteer", "content": "will be going this way, you're going up.", "session_id": 7457, "sequence_id": 294, "annotations": []}
{"role": "volunteer", "content": "You see how it kind of looks like the first one looks like it's going down.", "session_id": 7457, "sequence_id": 295, "annotations": []}
{"role": "volunteer", "content": "and then the other one looks like it's going up.", "session_id": 7457, "sequence_id": 296, "annotations": []}
{"role": "student", "content": "Oh, OK, so I don't want to be negative or positive.", "session_id": 7457, "sequence_id": 297, "annotations": []}
{"role": "volunteer", "content": "It wouldn't be negative or positive.", "session_id": 7457, "sequence_id": 298, "annotations": []}
{"role": "volunteer", "content": "And then there's 0, and then there's undefined.", "session_id": 7457, "sequence_id": 299, "annotations": []}
{"role": "student", "content": "OK, what would undefined mean like?", "session_id": 7457, "sequence_id": 300, "annotations": []}
{"role": "volunteer", "content": "Undefined would look like this.", "session_id": 7457, "sequence_id": 301, "annotations": []}
{"role": "volunteer", "content": "So there's a way to actually remember it. I'm gonna give you a trick, and I'm basically gonna tell you the answer, cause it's gonna help you.", "session_id": 7457, "sequence_id": 302, "annotations": []}
{"role": "student", "content": "The answer's A, right?", "session_id": 7457, "sequence_id": 303, "annotations": []}
{"role": "volunteer", "content": "Yeah, but this is how, this is really easy for you to remember it for next time.", "session_id": 7457, "sequence_id": 304, "annotations": []}
{"role": "volunteer", "content": "For zero and undefined, and there's a reason why it's called Zero.", "session_id": 7457, "sequence_id": 305, "annotations": []}
{"role": "volunteer", "content": "And the reason why it's called undefined.", "session_id": 7457, "sequence_id": 306, "annotations": []}
{"role": "student", "content": "OK", "session_id": 7457, "sequence_id": 307, "annotations": []}
{"role": "volunteer", "content": "So 0 looks like this, right?", "session_id": 7457, "sequence_id": 308, "annotations": []}
{"role": "student", "content": "Mhm", "session_id": 7457, "sequence_id": 309, "annotations": []}
{"role": "volunteer", "content": "That's 0", "session_id": 7457, "sequence_id": 310, "annotations": []}
{"role": "volunteer", "content": "Undefined looks like this.", "session_id": 7457, "sequence_id": 311, "annotations": []}
{"role": "volunteer", "content": "And you should get it right every single time they ask you this question now because", "session_id": 7457, "sequence_id": 312, "annotations": []}
{"role": "volunteer", "content": "once I learn this trick, I never got it wrong.", "session_id": 7457, "sequence_id": 313, "annotations": []}
{"role": "student", "content": "OK", "session_id": 7457, "sequence_id": 314, "annotations": []}
{"role": "volunteer", "content": "Ready", "session_id": 7457, "sequence_id": 315, "annotations": []}
{"role": "volunteer", "content": "See that?", "session_id": 7457, "sequence_id": 316, "annotations": []}
{"role": "volunteer", "content": "Looks like a Z for 0.", "session_id": 7457, "sequence_id": 317, "annotations": []}
{"role": "volunteer", "content": "undefined", "session_id": 7457, "sequence_id": 318, "annotations": []}
{"role": "volunteer", "content": "looks like a U", "session_id": 7457, "sequence_id": 319, "annotations": []}
{"role": "volunteer", "content": "You got it", "session_id": 7457, "sequence_id": 320, "annotations": []}
{"role": "volunteer", "content": "It's like a little trick. So", "session_id": 7457, "sequence_id": 321, "annotations": []}
{"role": "volunteer", "content": "this looks like a Z", "session_id": 7457, "sequence_id": 322, "annotations": []}
{"role": "volunteer", "content": "when you do that", "session_id": 7457, "sequence_id": 323, "annotations": []}
{"role": "volunteer", "content": "Sit, 0", "session_id": 7457, "sequence_id": 324, "annotations": []}
{"role": "volunteer", "content": "This is, this is what undefined looks like, just a straight line through the X-axis.", "session_id": 7457, "sequence_id": 325, "annotations": []}
{"role": "student", "content": "Oh, OK", "session_id": 7457, "sequence_id": 326, "annotations": []}
{"role": "volunteer", "content": "OK, yeah, so see, like it looks like a 0.", "session_id": 7457, "sequence_id": 327, "annotations": []}
{"role": "volunteer", "content": "Z for 0", "session_id": 7457, "sequence_id": 328, "annotations": []}
{"role": "student", "content": "Oh, OK, OK, OK.", "session_id": 7457, "sequence_id": 329, "annotations": []}
{"role": "volunteer", "content": "Mhm", "session_id": 7457, "sequence_id": 330, "annotations": []}
{"role": "student", "content": "That's a good trick", "session_id": 7457, "sequence_id": 331, "annotations": []}
{"role": "volunteer", "content": "Yeah, so, next time when you have a test or if your teacher ever ask, oh, well, what describes this line, what describes this graph, you're gonna be the first one to raise your hand and be like, that's 0, cause it looks like a Z.", "session_id": 7457, "sequence_id": 332, "annotations": []}
{"role": "student", "content": "Yeah,", "session_id": 7457, "sequence_id": 333, "annotations": []}
{"role": "volunteer", "content": "But don't tell her it looks like a Z. Just pretend that you know.", "session_id": 7457, "sequence_id": 334, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 7457, "sequence_id": 335, "annotations": []}
{"role": "volunteer", "content": "But yeah", "session_id": 7457, "sequence_id": 336, "annotations": []}
{"role": "volunteer", "content": "Oh", "session_id": 7457, "sequence_id": 337, "annotations": []}
{"role": "volunteer", "content": "All right. And that's, that's 0.", "session_id": 7457, "sequence_id": 338, "annotations": []}
{"role": "student", "content": "All right. Thank you", "session_id": 7457, "sequence_id": 339, "annotations": []}
{"role": "volunteer", "content": "You're welcome", "session_id": 7457, "sequence_id": 340, "annotations": []}
{"role": "student", "content": "Yeah, bye", "session_id": 7457, "sequence_id": 341, "annotations": []}
{"role": "volunteer", "content": "Do you have any more questions", "session_id": 7457, "sequence_id": 342, "annotations": []}
{"role": "volunteer", "content": "OK.", "session_id": 7457, "sequence_id": 343, "annotations": []}
{"role": "student", "content": "Um, no, that's it.", "session_id": 7457, "sequence_id": 344, "annotations": []}
{"role": "volunteer", "content": "All right. Bye, Alex. Good luck.", "session_id": 7457, "sequence_id": 345, "annotations": [{"pii_type": "PERSON", "surrogate": "Alex", "start": 16, "end": 20}]}
{"role": "volunteer", "content": "Bye", "session_id": 7457, "sequence_id": 346, "annotations": []}
{"role": "student", "content": "Bye. Thank you.", "session_id": 7457, "sequence_id": 347, "annotations": []}
{"role": "volunteer", "content": "hi", "session_id": 7482, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "hi", "session_id": 7482, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "so what problem do you have?", "session_id": 7482, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "I need help with this promble", "session_id": 7482, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 7482, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "could you share the problem?", "session_id": 7482, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "to first find 1/5 of the number by dividing the number into and that's what i need help with", "session_id": 7482, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "umm, is it possible you could post the original question? because you're wording is a bit confusing", "session_id": 7482, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "hello?", "session_id": 7482, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "?", "session_id": 7482, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "hi are you still there?", "session_id": 7482, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "yes", "session_id": 7482, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "do you have a problem that you need help with?", "session_id": 7482, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "yes", "session_id": 7482, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "could you write it on the board", "session_id": 7482, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "yes", "session_id": 7482, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "can I just tip it", "session_id": 7482, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "sure", "session_id": 7482, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "hello?", "session_id": 7482, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "hi", "session_id": 7548, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "what can i help you with?", "session_id": 7548, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "hello", "session_id": 7548, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "I need help with distributive property", "session_id": 7548, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "ok, just in general, or a specific problem about it?", "session_id": 7548, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "in general", "session_id": 7548, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "Ok so the distributive property is a(b+c) = ab+ ac", "session_id": 7548, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "lets say we have 3(4+5)", "session_id": 7548, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "with the distruibutive property it would be", "session_id": 7548, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "3 * 4 + 3 * 5", "session_id": 7548, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "I don't know like barley anything but i was recommended to start here", "session_id": 7548, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 7548, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "do you understand everything so far?", "session_id": 7548, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "the basic formula of it is a(b+c) = ab+ac", "session_id": 7548, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "you mutiply the inside number with the outside number i do get that", "session_id": 7548, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "and you have to notice or when they tell you and recognize its the distributive property", "session_id": 7548, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "yeah like 3 *4 + 3 * 5", "session_id": 7548, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "so 12 + 15", "session_id": 7548, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "27", "session_id": 7548, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "do you want me to give you harder examples and you can try to solve them?", "session_id": 7548, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "okay", "session_id": 7548, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "first you can do", "session_id": 7548, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "a = b = c =", "session_id": 7548, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "to make it easier for yourself if you need it", "session_id": 7548, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "yes that would be right good job", "session_id": 7548, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "what do you use the a =b =c for", "session_id": 7548, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "so its just in order", "session_id": 7548, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "like", "session_id": 7548, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "so the equation  okay", "session_id": 7548, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "yeah", "session_id": 7548, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "its just to make it easier if you dont need it you dont have to use it", "session_id": 7548, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "want a harder example?", "session_id": 7548, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "okayy", "session_id": 7548, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "okk wait", "session_id": 7548, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "would you know how to do it if it involved 3x and 2x stuff like that", "session_id": 7548, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "i can try", "session_id": 7548, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "ok ill put it on the board", "session_id": 7548, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "is that how you solve it", "session_id": 7548, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "yeah thats how you would solve it", "session_id": 7548, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "i think you understand it now just dont forget the formula", "session_id": 7548, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "a(b+c) = ab+ac", "session_id": 7548, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "do you want to do more practice problems or learn anything else?", "session_id": 7548, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "okay and what happens if there not a outside number", "session_id": 7548, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "like 3", "session_id": 7548, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "what do you mean?", "session_id": 7548, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "like no outside number?", "session_id": 7548, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "yes", "session_id": 7548, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "first you would combine like terms", "session_id": 7548, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "like here", "session_id": 7548, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "and thats it", "session_id": 7548, "sequence_id": 49, "annotations": []}
{"role": "student", "content": "okay that makes sense", "session_id": 7548, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "but here is an example where it would still be possible to use the distributive", "session_id": 7548, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "without an outside number '", "session_id": 7548, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "here you would just", "session_id": 7548, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "then solve", "session_id": 7548, "sequence_id": 54, "annotations": []}
{"role": "student", "content": "but the three was the outside number", "session_id": 7548, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "yes but there is none here", "session_id": 7548, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "in this scenario", "session_id": 7548, "sequence_id": 57, "annotations": []}
{"role": "student", "content": "okay", "session_id": 7548, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "like that", "session_id": 7548, "sequence_id": 59, "annotations": []}
{"role": "student", "content": "what step should i learn next in algebra", "session_id": 7548, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "uhh you should probably do", "session_id": 7548, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "did you learn how to solve linear equations yet?", "session_id": 7548, "sequence_id": 62, "annotations": []}
{"role": "student", "content": "no", "session_id": 7548, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "so probably that i can show you how", "session_id": 7548, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "so here", "session_id": 7548, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "we need to isolate x", "session_id": 7548, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "so what do you think we can do", "session_id": 7548, "sequence_id": 67, "annotations": []}
{"role": "student", "content": "wait is this like sloving for x or no", "session_id": 7548, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "yeah", "session_id": 7548, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "like that", "session_id": 7548, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "do you know how to do that?", "session_id": 7548, "sequence_id": 71, "annotations": []}
{"role": "student", "content": "kind of expect i don't understand why you put a 2 under the 8 and 2x", "session_id": 7548, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "ok lets go back to that step", "session_id": 7548, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "so u understand this right", "session_id": 7548, "sequence_id": 74, "annotations": []}
{"role": "student", "content": "are you dividing it by 2", "session_id": 7548, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 7548, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "because this is multiplication", "session_id": 7548, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "so we have to do the opposite", "session_id": 7548, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "to get rid of it", "session_id": 7548, "sequence_id": 79, "annotations": []}
{"role": "student", "content": "ohh that make sense okay now i get it", "session_id": 7548, "sequence_id": 80, "annotations": []}
{"role": "volunteer", "content": "and whatever we do on one side we do on both sides right", "session_id": 7548, "sequence_id": 81, "annotations": []}
{"role": "volunteer", "content": "want me to give u an example", "session_id": 7548, "sequence_id": 82, "annotations": []}
{"role": "student", "content": "yes", "session_id": 7548, "sequence_id": 83, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 7548, "sequence_id": 84, "annotations": []}
{"role": "volunteer", "content": "try solving this one", "session_id": 7548, "sequence_id": 85, "annotations": []}
{"role": "student", "content": "wait i got confused", "session_id": 7548, "sequence_id": 86, "annotations": []}
{"role": "student", "content": "on what to do with 4x", "session_id": 7548, "sequence_id": 87, "annotations": []}
{"role": "volunteer", "content": "ok thats fine", "session_id": 7548, "sequence_id": 88, "annotations": []}
{"role": "volunteer", "content": "so when you get here", "session_id": 7548, "sequence_id": 89, "annotations": []}
{"role": "volunteer", "content": "you keep the equal sign", "session_id": 7548, "sequence_id": 90, "annotations": []}
{"role": "volunteer", "content": "never remove it", "session_id": 7548, "sequence_id": 91, "annotations": []}
{"role": "volunteer", "content": "you had it almost right", "session_id": 7548, "sequence_id": 92, "annotations": []}
{"role": "volunteer", "content": "u just forgot the equal sign u had it right", "session_id": 7548, "sequence_id": 93, "annotations": []}
{"role": "volunteer", "content": "now try to solve it", "session_id": 7548, "sequence_id": 94, "annotations": []}
{"role": "student", "content": "what do i divide it by 4", "session_id": 7548, "sequence_id": 95, "annotations": []}
{"role": "volunteer", "content": "yes exactly", "session_id": 7548, "sequence_id": 96, "annotations": []}
{"role": "volunteer", "content": "because its multiplication here", "session_id": 7548, "sequence_id": 97, "annotations": []}
{"role": "volunteer", "content": "you have to do the opposite of whatever it is to get rid of it", "session_id": 7548, "sequence_id": 98, "annotations": []}
{"role": "volunteer", "content": "yes good job", "session_id": 7548, "sequence_id": 99, "annotations": []}
{"role": "volunteer", "content": "wiat", "session_id": 7548, "sequence_id": 100, "annotations": []}
{"role": "volunteer", "content": "wait", "session_id": 7548, "sequence_id": 101, "annotations": []}
{"role": "volunteer", "content": "you dont put x", "session_id": 7548, "sequence_id": 102, "annotations": []}
{"role": "volunteer", "content": "its", "session_id": 7548, "sequence_id": 103, "annotations": []}
{"role": "volunteer", "content": "because you just divide by 4", "session_id": 7548, "sequence_id": 104, "annotations": []}
{"role": "student", "content": "just 4", "session_id": 7548, "sequence_id": 105, "annotations": []}
{"role": "volunteer", "content": "yeah", "session_id": 7548, "sequence_id": 106, "annotations": []}
{"role": "volunteer", "content": "because one side just needs x", "session_id": 7548, "sequence_id": 107, "annotations": []}
{"role": "volunteer", "content": "the other needs 4", "session_id": 7548, "sequence_id": 108, "annotations": []}
{"role": "volunteer", "content": "wanna try more or do something else?", "session_id": 7548, "sequence_id": 109, "annotations": []}
{"role": "student", "content": "try the same", "session_id": 7548, "sequence_id": 110, "annotations": []}
{"role": "volunteer", "content": "ok here is another example", "session_id": 7548, "sequence_id": 111, "annotations": []}
{"role": "volunteer", "content": "this one is way harder", "session_id": 7548, "sequence_id": 112, "annotations": []}
{"role": "volunteer", "content": "so its ok if u dont get it", "session_id": 7548, "sequence_id": 113, "annotations": []}
{"role": "student", "content": "what do i do with the extra +12", "session_id": 7548, "sequence_id": 114, "annotations": []}
{"role": "volunteer", "content": "ok so thats why this one is hard", "session_id": 7548, "sequence_id": 115, "annotations": []}
{"role": "volunteer", "content": "you have to pick a side for x", "session_id": 7548, "sequence_id": 116, "annotations": []}
{"role": "volunteer", "content": "and one for the numbers", "session_id": 7548, "sequence_id": 117, "annotations": []}
{"role": "volunteer", "content": "what i would do is this", "session_id": 7548, "sequence_id": 118, "annotations": []}
{"role": "volunteer", "content": "now your at this point", "session_id": 7548, "sequence_id": 119, "annotations": []}
{"role": "student", "content": "so we divide now", "session_id": 7548, "sequence_id": 120, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 7548, "sequence_id": 121, "annotations": []}
{"role": "volunteer", "content": "well", "session_id": 7548, "sequence_id": 122, "annotations": []}
{"role": "volunteer", "content": "you would", "session_id": 7548, "sequence_id": 123, "annotations": []}
{"role": "student", "content": "im confused on what to divde like 3 by 2x and 7 as well", "session_id": 7548, "sequence_id": 124, "annotations": []}
{"role": "volunteer", "content": "no its wrong my fault", "session_id": 7548, "sequence_id": 125, "annotations": []}
{"role": "volunteer", "content": "here you would have to subtract", "session_id": 7548, "sequence_id": 126, "annotations": []}
{"role": "volunteer", "content": "2x", "session_id": 7548, "sequence_id": 127, "annotations": []}
{"role": "volunteer", "content": "because its not isolated so its not division", "session_id": 7548, "sequence_id": 128, "annotations": []}
{"role": "volunteer", "content": "yeah this one is really hard", "session_id": 7548, "sequence_id": 129, "annotations": []}
{"role": "student", "content": "what happened to the 3", "session_id": 7548, "sequence_id": 130, "annotations": []}
{"role": "volunteer", "content": "you would subtract because its with + 7", "session_id": 7548, "sequence_id": 131, "annotations": []}
{"role": "volunteer", "content": "this", "session_id": 7548, "sequence_id": 132, "annotations": []}
{"role": "volunteer", "content": "so it just became x", "session_id": 7548, "sequence_id": 133, "annotations": []}
{"role": "volunteer", "content": "because -2x with +3x", "session_id": 7548, "sequence_id": 134, "annotations": []}
{"role": "student", "content": "so it wouldn't be 1x", "session_id": 7548, "sequence_id": 135, "annotations": []}
{"role": "volunteer", "content": "well", "session_id": 7548, "sequence_id": 136, "annotations": []}
{"role": "volunteer", "content": "1x is x", "session_id": 7548, "sequence_id": 137, "annotations": []}
{"role": "volunteer", "content": "its the exact same like saying", "session_id": 7548, "sequence_id": 138, "annotations": []}
{"role": "volunteer", "content": "7(1)", "session_id": 7548, "sequence_id": 139, "annotations": []}
{"role": "student", "content": "oh yes I forgot sorry", "session_id": 7548, "sequence_id": 140, "annotations": []}
{"role": "volunteer", "content": "its ok", "session_id": 7548, "sequence_id": 141, "annotations": []}
{"role": "student", "content": "okay can i try a new one", "session_id": 7548, "sequence_id": 142, "annotations": []}
{"role": "volunteer", "content": "yes similar to this one?", "session_id": 7548, "sequence_id": 143, "annotations": []}
{"role": "student", "content": "yes", "session_id": 7548, "sequence_id": 144, "annotations": []}
{"role": "volunteer", "content": "try doing this one", "session_id": 7548, "sequence_id": 145, "annotations": []}
{"role": "student", "content": "when i see you do it makes sense but when i do it i get stuck", "session_id": 7548, "sequence_id": 146, "annotations": []}
{"role": "volunteer", "content": "yeah i get that", "session_id": 7548, "sequence_id": 147, "annotations": []}
{"role": "volunteer", "content": "so whats your thought process on this one", "session_id": 7548, "sequence_id": 148, "annotations": []}
{"role": "volunteer", "content": "so we cant change this one because its the only one without x in it", "session_id": 7548, "sequence_id": 149, "annotations": []}
{"role": "student", "content": "could i do o 3- 3x", "session_id": 7548, "sequence_id": 150, "annotations": []}
{"role": "volunteer", "content": "you could do -3x", "session_id": 7548, "sequence_id": 151, "annotations": []}
{"role": "volunteer", "content": "ok so", "session_id": 7548, "sequence_id": 152, "annotations": []}
{"role": "volunteer", "content": "when you do something on one side", "session_id": 7548, "sequence_id": 153, "annotations": []}
{"role": "volunteer", "content": "you do it on both", "session_id": 7548, "sequence_id": 154, "annotations": []}
{"role": "volunteer", "content": "so you would do -3x to 4x", "session_id": 7548, "sequence_id": 155, "annotations": []}
{"role": "volunteer", "content": "then x = 10", "session_id": 7548, "sequence_id": 156, "annotations": []}
{"role": "volunteer", "content": "and here's how i think about it", "session_id": 7548, "sequence_id": 157, "annotations": []}
{"role": "student", "content": "yes because 1x equals x", "session_id": 7548, "sequence_id": 158, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 7548, "sequence_id": 159, "annotations": []}
{"role": "volunteer", "content": "but here is how i think aobut it", "session_id": 7548, "sequence_id": 160, "annotations": []}
{"role": "volunteer", "content": "i try doing", "session_id": 7548, "sequence_id": 161, "annotations": []}
{"role": "volunteer", "content": "but this would just make it harder to solve", "session_id": 7548, "sequence_id": 162, "annotations": []}
{"role": "volunteer", "content": "because it would be -x", "session_id": 7548, "sequence_id": 163, "annotations": []}
{"role": "volunteer", "content": "so instead you try the other one", "session_id": 7548, "sequence_id": 164, "annotations": []}
{"role": "volunteer", "content": "and it works", "session_id": 7548, "sequence_id": 165, "annotations": []}
{"role": "student", "content": "okayy", "session_id": 7548, "sequence_id": 166, "annotations": []}
{"role": "volunteer", "content": "got it?", "session_id": 7548, "sequence_id": 167, "annotations": []}
{"role": "volunteer", "content": "these are just very hard examples", "session_id": 7548, "sequence_id": 168, "annotations": []}
{"role": "volunteer", "content": "its ok if u dont understand it perfectly yet", "session_id": 7548, "sequence_id": 169, "annotations": []}
{"role": "student", "content": "yes i'm going to try it again", "session_id": 7548, "sequence_id": 170, "annotations": []}
{"role": "volunteer", "content": "ok want a different one", "session_id": 7548, "sequence_id": 171, "annotations": []}
{"role": "volunteer", "content": "or the same one", "session_id": 7548, "sequence_id": 172, "annotations": []}
{"role": "student", "content": "similar to that one", "session_id": 7548, "sequence_id": 173, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 7548, "sequence_id": 174, "annotations": []}
{"role": "volunteer", "content": "ya good job", "session_id": 7548, "sequence_id": 175, "annotations": []}
{"role": "volunteer", "content": "thats right", "session_id": 7548, "sequence_id": 176, "annotations": []}
{"role": "student", "content": "yayy", "session_id": 7548, "sequence_id": 177, "annotations": []}
{"role": "volunteer", "content": "you wanna do anything else, or is that it?", "session_id": 7548, "sequence_id": 178, "annotations": []}
{"role": "student", "content": "thats it", "session_id": 7548, "sequence_id": 179, "annotations": []}
{"role": "volunteer", "content": "ok have a good night!", "session_id": 7548, "sequence_id": 180, "annotations": []}
{"role": "student", "content": "thank you very much hope you have a good day", "session_id": 7548, "sequence_id": 181, "annotations": []}
{"role": "volunteer", "content": "you too", "session_id": 7548, "sequence_id": 182, "annotations": []}
{"role": "volunteer", "content": "bye", "session_id": 7548, "sequence_id": 183, "annotations": []}
{"role": "volunteer", "content": "Hi Sarah.", "session_id": 7496, "sequence_id": 0, "annotations": [{"pii_type": "PERSON", "surrogate": "Sarah", "start": 3, "end": 8}]}
{"role": "student", "content": "hai", "session_id": 7496, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "How's your week going?", "session_id": 7496, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "good :)", "session_id": 7496, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "Great. What would you like to work on today?", "session_id": 7496, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "i am doing verbal algebra exprssions", "session_id": 7496, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "Ah, we did that before. OK.", "session_id": 7496, "sequence_id": 6, "annotations": []}
{"role": "student", "content": ":) ill write it on the board", "session_id": 7496, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "my sister asked if u had her before", "session_id": 7496, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "What's her name?", "session_id": 7496, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "Maria", "session_id": 7496, "sequence_id": 10, "annotations": [{"pii_type": "PERSON", "surrogate": "Maria", "start": 0, "end": 5}]}
{"role": "volunteer", "content": "Yes.", "session_id": 7496, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "oki :)", "session_id": 7496, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "OK. Try this one.", "session_id": 7496, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "is that right ?", "session_id": 7496, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "Great. You translated it into algebra.", "session_id": 7496, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "oki", "session_id": 7496, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "so now i solve it", "session_id": 7496, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "right ?", "session_id": 7496, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "Right.", "session_id": 7496, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "oki", "session_id": 7496, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "Great.", "session_id": 7496, "sequence_id": 21, "annotations": []}
{"role": "student", "content": ":)", "session_id": 7496, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "There is a shortcut for subtracting or adding something to both sides. It's just a different way of writing it.", "session_id": 7496, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "oh oki", "session_id": 7496, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "It does the same thing but it saves you a bit of writing.", "session_id": 7496, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "You swap sides and change the sign.", "session_id": 7496, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "oh oki :)", "session_id": 7496, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "And for division, you swap sides and change top to bottom or bottom to top.", "session_id": 7496, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "OK, you have more?", "session_id": 7496, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "yea", "session_id": 7496, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "OK, get started.", "session_id": 7496, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "oki", "session_id": 7496, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "Good", "session_id": 7496, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "alr", "session_id": 7496, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "should i sub the 9n from the n or sub n to 9n?", "session_id": 7496, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "or does it not matter?", "session_id": 7496, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "Either way. But I like doing it in a way that ends up with a positives number. I don't like negatives \ud83d\ude00", "session_id": 7496, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "me neither :)", "session_id": 7496, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "srry for the messy handwriting my mouse rlly suck rn lol", "session_id": 7496, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "You could always type it.", "session_id": 7496, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "Whatever is more convenient", "session_id": 7496, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "I don't have trouble reading it", "session_id": 7496, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "yea ik but i also have to write it in my book as well I_I", "session_id": 7496, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "Good.", "session_id": 7496, "sequence_id": 44, "annotations": []}
{"role": "student", "content": ":)", "session_id": 7496, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "alr can we do standard linear equations?", "session_id": 7496, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "Sarah", "session_id": 7496, "sequence_id": 47, "annotations": [{"pii_type": "PERSON", "surrogate": "Sarah", "start": 0, "end": 5}]}
{"role": "volunteer", "content": "SUre", "session_id": 7496, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "OkAY", "session_id": 7496, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "Then just recheck by plugging -5 into the original", "session_id": 7496, "sequence_id": 50, "annotations": []}
{"role": "student", "content": "alr", "session_id": 7496, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "And you can see it's true even without writing it all out.", "session_id": 7496, "sequence_id": 52, "annotations": []}
{"role": "student", "content": "yea", "session_id": 7496, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "It's always good to check your solutions to catch any errors.", "session_id": 7496, "sequence_id": 54, "annotations": []}
{"role": "student", "content": "oki :)", "session_id": 7496, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "That is a one?", "session_id": 7496, "sequence_id": 56, "annotations": []}
{"role": "student", "content": "yea srry bout dat", "session_id": 7496, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "No, it's just that we don't usually write out a 1 multiplier", "session_id": 7496, "sequence_id": 58, "annotations": []}
{"role": "student", "content": "oh, i didnt know that >_<", "session_id": 7496, "sequence_id": 59, "annotations": []}
{"role": "student", "content": "lol", "session_id": 7496, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "I mean, it's  OK if you do, but you can see that it's just extra work.", "session_id": 7496, "sequence_id": 61, "annotations": []}
{"role": "student", "content": "yea", "session_id": 7496, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "and recognize that -x + 9 is just a rewriting of 9-x", "session_id": 7496, "sequence_id": 63, "annotations": []}
{"role": "student", "content": "yea", "session_id": 7496, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "Do you want me to provide examples or are you getting them from an assignment", "session_id": 7496, "sequence_id": 65, "annotations": []}
{"role": "student", "content": "well im doing them from my math book and there's like 48 questions I_I", "session_id": 7496, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "OK. Do you see any that might be hard for you?", "session_id": 7496, "sequence_id": 67, "annotations": []}
{"role": "student", "content": "no i think there all pretty basic I_I", "session_id": 7496, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "OK, we could end the session and you can come back if you have trouble?", "session_id": 7496, "sequence_id": 69, "annotations": []}
{"role": "student", "content": "alr sounds good :)", "session_id": 7496, "sequence_id": 70, "annotations": []}
{"role": "student", "content": "thxs for the help :)", "session_id": 7496, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "You're welcome. Have a good day! :-)Have a good day! :-)", "session_id": 7496, "sequence_id": 72, "annotations": []}
{"role": "student", "content": "Mr. Davis", "session_id": 7496, "sequence_id": 73, "annotations": [{"pii_type": "PERSON", "surrogate": "Mr. Davis", "start": 0, "end": 9}]}
{"role": "volunteer", "content": "bye", "session_id": 7496, "sequence_id": 74, "annotations": []}
{"role": "volunteer", "content": "hello", "session_id": 7689, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "Hello!", "session_id": 7689, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "what topic can I help you with?", "session_id": 7689, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "I need help factoring, and solving a couple equations", "session_id": 7689, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 7689, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "could you put them on the whiteboard?", "session_id": 7689, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "Sure", "session_id": 7689, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "ok, what do you think is the first step?", "session_id": 7689, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "Isn\u2019t it to multiply the 2 to something?", "session_id": 7689, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "not quite", "session_id": 7689, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "in order to factor, we first have to check if there are any GCFs", "session_id": 7689, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "do you think there is a number that can divide by all 3 numbers? (2,36, and 90)?", "session_id": 7689, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "Wouldn\u2019t it just be 2?", "session_id": 7689, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "yup", "session_id": 7689, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "so now we rewrite this equation", "session_id": 7689, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "how would you write it?", "session_id": 7689, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "I don\u2019t know where to go from there", "session_id": 7689, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "I see where you're going, however, this the step AFTER you've rewritten the equation factoring OUT the gcf", "session_id": 7689, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "since two is divisible by all numbers, we'd rewrite like this", "session_id": 7689, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "two outside", "session_id": 7689, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "and u^2 as the first term in the parentheses", "session_id": 7689, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "do you know why we'd do this?", "session_id": 7689, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "Because we have to use foil? Once we are done?", "session_id": 7689, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "it's ok to guess", "session_id": 7689, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "YES! we can check and foil back to see if we did it right", "session_id": 7689, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "great job", "session_id": 7689, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "so if u^2 is the first term, what do you think is the second term that goes here?", "session_id": 7689, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "-18?", "session_id": 7689, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "you got it", "session_id": 7689, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "so what's the last term?", "session_id": 7689, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "45?", "session_id": 7689, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "yup", "session_id": 7689, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "we do this so it's easier to factor", "session_id": 7689, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "now, we go back to your set up", "session_id": 7689, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "do you know what X puzzle method is?", "session_id": 7689, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "I\u2019m not familiar with it", "session_id": 7689, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "ok, so did you learn an alternative method to find the two factors that go here or is this where you're stuck?", "session_id": 7689, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "I believe you try to find a number that goes into -18 from 45. But that\u2019s all I remember at the moment", "session_id": 7689, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "basically, but finding how to choose specific numbers is the tricky part", "session_id": 7689, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "I'll teach you the x puzzle method to help you visualize", "session_id": 7689, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "Alright, thank you!", "session_id": 7689, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "the first step would be to multiply the first term (a) by the last term (c)", "session_id": 7689, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "so u^2 is just 1^2 which is 1", "session_id": 7689, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "so multiply 1 by 45", "session_id": 7689, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "and put that on the top part of the X", "session_id": 7689, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "then, you take the value of B (write down the negative sign if it has one)", "session_id": 7689, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "now, we have to find two numbers that multiply to 45 AND add to negative 18", "session_id": 7689, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "i know it seems tough, but once you practice, you'll be able to do it quickly", "session_id": 7689, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "a tip I suggest is to do the multiplication FIRST", "session_id": 7689, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "grab your calculator and divide 45 by different numbers starting at 2", "session_id": 7689, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "45/2 is a decimal so it won't work\n\n45/3=15", "session_id": 7689, "sequence_id": 50, "annotations": []}
{"role": "student", "content": "Would it be 15, and 3?", "session_id": 7689, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "let's check to see if it adds to  negative 18", "session_id": 7689, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "so if we were to take 15 and 3, can you tell me if they would be positive or negative?", "session_id": 7689, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "or would one be positive and the other be negative?", "session_id": 7689, "sequence_id": 54, "annotations": []}
{"role": "student", "content": "It could be -15-3?", "session_id": 7689, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "why ?", "session_id": 7689, "sequence_id": 56, "annotations": []}
{"role": "student", "content": "Because it would add up to -18?", "session_id": 7689, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "and?", "session_id": 7689, "sequence_id": 58, "annotations": []}
{"role": "student", "content": "I don\u2019t know", "session_id": 7689, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "oh sorry, I missed that you said they both multiplied to 45", "session_id": 7689, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "you're correct", "session_id": 7689, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "so now that you have your two numbers, what do you do?", "session_id": 7689, "sequence_id": 62, "annotations": []}
{"role": "student", "content": "Out them into the parenthesis", "session_id": 7689, "sequence_id": 63, "annotations": []}
{"role": "student", "content": "*put", "session_id": 7689, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "good, can you do that ?", "session_id": 7689, "sequence_id": 65, "annotations": []}
{"role": "student", "content": "Of course", "session_id": 7689, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "do you think we're done?", "session_id": 7689, "sequence_id": 67, "annotations": []}
{"role": "student", "content": "Not yet I think", "session_id": 7689, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "good", "session_id": 7689, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "what do you think would be our next step?", "session_id": 7689, "sequence_id": 70, "annotations": []}
{"role": "student", "content": "To multiply the 2 using foil?", "session_id": 7689, "sequence_id": 71, "annotations": []}
{"role": "student", "content": "Or just multiply the 2 to every digit", "session_id": 7689, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "not multiply as that would undo all our work", "session_id": 7689, "sequence_id": 73, "annotations": []}
{"role": "student", "content": "Oh divide then", "session_id": 7689, "sequence_id": 74, "annotations": []}
{"role": "volunteer", "content": "all we have to do is just place the 2 we factored out from the gcf infront of our factors", "session_id": 7689, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "this is the answer", "session_id": 7689, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "to check, you could foil", "session_id": 7689, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "any questions on how to do x puzzle?", "session_id": 7689, "sequence_id": 78, "annotations": []}
{"role": "student", "content": "No I think that\u2019s all thank you!", "session_id": 7689, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "ok, I'll end the session, hope I was able to help!", "session_id": 7689, "sequence_id": 80, "annotations": []}
{"role": "volunteer", "content": "Hi! What can I help you with today?", "session_id": 7722, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "Hello! I have this equation im working on for extra credit, its confusing me quite a bit, please give me a moment to type it.", "session_id": 7722, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "Okay!", "session_id": 7722, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "\"You are making a frame for a painting. The rectangular painting will be 18 inches long and 24 inches wide. Using a yardstick, how can you be certain that the corners of the frame are 90 degrees?\"", "session_id": 7722, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "Okay, have you learned Pythagorean theorem in class?", "session_id": 7722, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "Yes, I have", "session_id": 7722, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "Okay so what do you know about right triangles relating to Pythagorean theorem?", "session_id": 7722, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "In my notes it says \"In a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the legs.\"", "session_id": 7722, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "Correct!", "session_id": 7722, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "So in this case what would the lengths of the triangle be", "session_id": 7722, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "18 and 24", "session_id": 7722, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "Correct!", "session_id": 7722, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "What would your next step be?", "session_id": 7722, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "Setting up the triangle?", "session_id": 7722, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "Yes, can you do that on the whiteboard?", "session_id": 7722, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "Sure!", "session_id": 7722, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "Okay now you can find the hypotenuse.", "session_id": 7722, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "Solve for it?", "session_id": 7722, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "Yes!", "session_id": 7722, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "Do you know how to?", "session_id": 7722, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "Yes I do", "session_id": 7722, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "Is that correct?", "session_id": 7722, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "Let me check!", "session_id": 7722, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "Alright :)", "session_id": 7722, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "Yes!", "session_id": 7722, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "So based on the information you have in front of you, what do you think the answer to the problem is?", "session_id": 7722, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "30 :D", "session_id": 7722, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "Correct!", "session_id": 7722, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "Since this is a word problem, can you give the answer in a sentence?", "session_id": 7722, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "Okay!", "session_id": 7722, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "Uh..", "session_id": 7722, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "Im reading the problem and it the second part of the question says \"Using a yardstick, how can you be certain that the corners of the frame are 90 degrees\"", "session_id": 7722, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "Oh your right!", "session_id": 7722, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "you're*", "session_id": 7722, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "So since your answer is 30, and there are 36 inches in a yard, how would you translate that to fit the required unit (yards)?", "session_id": 7722, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "I would label it at 30 inches...?", "session_id": 7722, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "Sure!", "session_id": 7722, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "You could also say that you can make sure the picture frame would be 5/6 of the yardstick long diagonally!", "session_id": 7722, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "Ohhh", "session_id": 7722, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "Do you understand the problem and how you got there?", "session_id": 7722, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "Yep!", "session_id": 7722, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "Okay!", "session_id": 7722, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "Do you need help with anything else or is that all?", "session_id": 7722, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "Just to ensure, I can answer the problem like \" By using the pythagreum theorum, I found that the hypotenuse is equavilent to 30 inches or 5/6 of the yardstick. \"", "session_id": 7722, "sequence_id": 43, "annotations": []}
{"role": "student", "content": "But how would that make it certain that the corners are 90 degrees? Is it because of the Pythagorean Theorem?", "session_id": 7722, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "Yes!", "session_id": 7722, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "The Pythagorean theorem states that the right triangle's side lengths square are equal to it's hypotenuse squared!", "session_id": 7722, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "Ohh", "session_id": 7722, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "And a right triangle always has a 90 degree angle.", "session_id": 7722, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "Right", "session_id": 7722, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "Do you understand it now?", "session_id": 7722, "sequence_id": 50, "annotations": []}
{"role": "student", "content": "Yes! Thank you so much", "session_id": 7722, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "No problem!", "session_id": 7722, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "Have a great day!", "session_id": 7722, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "Hello how are you doing?", "session_id": 7687, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "good", "session_id": 7687, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "thanks for asking", "session_id": 7687, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "Can you share the details/statement of the problem you are working on?", "session_id": 7687, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "sure but it's not like a solution problem", "session_id": 7687, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "Ok", "session_id": 7687, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "How is a \u201cset\u201d similar to the solution set of an inequality?", "session_id": 7687, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "I have an idea of how to answer my question", "session_id": 7687, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "but I don't know if it's strong enough", "session_id": 7687, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "What is exactly is meant by \"set\" and solution set here?", "session_id": 7687, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "like a set it's like a universal set", "session_id": 7687, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "Solution set of an inquality for example of x < 4 is all numbers less than 4", "session_id": 7687, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "?", "session_id": 7687, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "yes", "session_id": 7687, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "And \"set\" is the universal set?", "session_id": 7687, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "all the numbers less than 4 is the solution set and all the numbers are the universal sets", "session_id": 7687, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "set", "session_id": 7687, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "Ok, so it's the universal set vs the solution set essentially", "session_id": 7687, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "yes but how can they be similar to each other?", "session_id": 7687, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "And what is your answer so far?", "session_id": 7687, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "I am saying that the solution set it's part of the universal set", "session_id": 7687, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "but IDK how to explain it", "session_id": 7687, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "Are you aware of the term subset?", "session_id": 7687, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "yes", "session_id": 7687, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "Then you can say that the solution set is a subset of the universal set", "session_id": 7687, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "yeah but how can I explain it?", "session_id": 7687, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "The solution set can only contain elements that are also in the universal set", "session_id": 7687, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "How in-depth does the answer need to be?", "session_id": 7687, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "what do u mean by in-depth?", "session_id": 7687, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "Like, how much detail needs to provided or how long should it be?", "session_id": 7687, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "as much as possible", "session_id": 7687, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "Ok, so we can say that the elements in the solution set must also appear in the universal set", "session_id": 7687, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "So they have access to the same numbers", "session_id": 7687, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "They also are both sets, which means they are both containers for numbers where each number is unique", "session_id": 7687, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "within a set", "session_id": 7687, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "but doesn't that make each set different ?", "session_id": 7687, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "When I said a number is unique within the set, I meant that the solution set cannot contain 1 twice, but the universal set and solution set can both have 1", "session_id": 7687, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "Within the individual set, there cannot be duplicates", "session_id": 7687, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "Do these help your answer?", "session_id": 7687, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "a lot", "session_id": 7687, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "thanks :)", "session_id": 7687, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "No problem, do you still need help?", "session_id": 7687, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "Or can we end the session here?", "session_id": 7687, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "thanks for ur help :)", "session_id": 7687, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "Hi there.", "session_id": 7673, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "Sorry, I have no mic. Sorry.", "session_id": 7673, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "hi i have a test i have on high scholl geometery and i kinda suck at the topic", "session_id": 7673, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "Give me the problem, upload it or screen share.", "session_id": 7673, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "ok right now", "session_id": 7673, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "u see the screen share thats part of the notes i have like a list of what i have on the test but i dont have physical problems sorry", "session_id": 7673, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "Can youn scroll down?", "session_id": 7673, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "Good.", "session_id": 7673, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "is that what ur trying to do", "session_id": 7673, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "I think #4 should be yes.", "session_id": 7673, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "I think on number 4 here, it should be a yes, because", "session_id": 7673, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "that it is what they call", "session_id": 7673, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "vertical angle or opposite angle.", "session_id": 7673, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "Whenever you have two", "session_id": 7673, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "anger which is vertical of each other or opposite of each other, then they are actually the same.", "session_id": 7673, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "#5 is yes. You are correct.", "session_id": 7673, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "$6 is no, you are correct too.", "session_id": 7673, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "im so sorry i have to go", "session_id": 7673, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "something just came up outta no where but queston quick", "session_id": 7673, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "i heard that tutor are only school students and not adults is that true?", "session_id": 7673, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "Midland University professor, but my specialization is Calculus.", "session_id": 7673, "sequence_id": 20, "annotations": [{"pii_type": "SCHOOL", "surrogate": "Midland University", "start": 0, "end": 18}]}
{"role": "student", "content": "oh ok but im sorry something came up i have to go:)", "session_id": 7673, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "Hi Maya. How's your weekend going?", "session_id": 7824, "sequence_id": 0, "annotations": [{"pii_type": "PERSON", "surrogate": "Maya", "start": 3, "end": 7}]}
{"role": "student", "content": "alright", "session_id": 7824, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "Welcome to Tutor Provider", "session_id": 7824, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "i just took an exam that covered hypothesis testing, hypothesis testing with means of sample im struggling in that", "session_id": 7824, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "OK. Was it using t-test for hypothesis testing?", "session_id": 7824, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "yes like 1 tailed 2 tailed tests", "session_id": 7824, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "And you're using a calculator?", "session_id": 7824, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "yes but not for hypothesis testing part just to fig the ci", "session_id": 7824, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "Do you have an example from an assignment or online that we can go over?", "session_id": 7824, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "i can give a practic problem", "session_id": 7824, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "Great.", "session_id": 7824, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "19. A researcher is interested in whether people are able to identify emotions\ncorrectly when they are extremely tired. It is known that, using a particular method\nof measurement, the accuracy ratings of people in the general population (who are\nnot extremely tired) are normally distributed with a mean of 82 and a variance of 20.\nIn the present study, however, the researcher arranges to test 50 people who had no\nsleep the previous night. The mean accuracy for these 50 individuals was 78. Using\nthe .05 level, what should the researcher conclude? (a) Carry out a Z test using the\nfive steps of hypothesis testing. (b) Make a drawing of the distributions involved.\n(c) Explain your answer to someone who knows about hypothesis testing with a\nsample of a single individual but who knows nothing about hypothesis testing with\na sample of more than one individual. (d) Question E: Figure the 95%\nconfidence interval and explain your answer to someone who is familiar with the\ngeneral logic of hypothesis testing, the normal curve, Z scores, probability, and the\nidea of a distribution of means, but who has not heard of confidence intervals. here it is", "session_id": 7824, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "I", "session_id": 7824, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "I", "session_id": 7824, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "I", "session_id": 7824, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "I", "session_id": 7824, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "I", "session_id": 7824, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "I", "session_id": 7824, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "Wait, I can't hear anything.", "session_id": 7824, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "So how do you solve this problem?", "session_id": 7824, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "Can you like help me with each part?", "session_id": 7824, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "Yes.", "session_id": 7824, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "One missing piece seems to be the variance of the study population.", "session_id": 7824, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "So the population or the means of the distribution is 82 with the variance of 20.", "session_id": 7824, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "Start by graphing the population values", "session_id": 7824, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "and the sample mean is also 82, right? And the study sample, um, is 80.", "session_id": 7824, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "Variance = 20 so what is the standard deviation?", "session_id": 7824, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "Um, the standard deviation is 4.47.", "session_id": 7824, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "Assuming the study population also has a variance of 20, what is the SEM?", "session_id": 7824, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "or SE?", "session_id": 7824, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "Isn't it 4.47?", "session_id": 7824, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "The standard air", "session_id": 7824, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "A", "session_id": 7824, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "Its sd would be 4.47 but the se is SD/\u221an", "session_id": 7824, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "0, 44.", "session_id": 7824, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "No, so the SEM is 0.49.", "session_id": 7824, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "4.47/\u221a80", "session_id": 7824, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "DSEM is 0.49.", "session_id": 7824, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "the sem is 0.49", "session_id": 7824, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "OK, or 0.5", "session_id": 7824, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "Wait, how did you change the sample mean to 78. I thought it was", "session_id": 7824, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "I made a mistake in copying the problem", "session_id": 7824, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "the tutoring service, the tutoring service is completely free, right? Like.", "session_id": 7824, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "Yes it's free.", "session_id": 7824, "sequence_id": 43, "annotations": []}
{"role": "student", "content": "And why did you put um confidence in those, um, equals plus minus 1.", "session_id": 7824, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "Well, 1.96 * 0.5 = 0.98", "session_id": 7824, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "I was using z=2 for the 95% CI but 1.96 is the actual value", "session_id": 7824, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "So the confident interval would be plus 1.96.", "session_id": 7824, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "The 95% ci of the mean is critical value x the SEM", "session_id": 7824, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "So basically from 76 to 80", "session_id": 7824, "sequence_id": 49, "annotations": []}
{"role": "student", "content": "Wait, no, my teacher did it as like, OK, uh, um confident interval equal, um, the, the critical value times the standard DVA population standard deviation of the means, plus the sample mean.", "session_id": 7824, "sequence_id": 50, "annotations": []}
{"role": "student", "content": "Let me", "session_id": 7824, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "like", "session_id": 7824, "sequence_id": 52, "annotations": []}
{"role": "student", "content": "he", "session_id": 7824, "sequence_id": 53, "annotations": []}
{"role": "student", "content": "to find the upper and lower values.", "session_id": 7824, "sequence_id": 54, "annotations": []}
{"role": "student", "content": "It was like um Z score um positive and negative times the population standard deviation of the means plus the um sample me.", "session_id": 7824, "sequence_id": 55, "annotations": []}
{"role": "student", "content": "Sample means, sorry.", "session_id": 7824, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "I think I see what you mean.", "session_id": 7824, "sequence_id": 57, "annotations": []}
{"role": "student", "content": "To find the upper and lower limit of the confidence in.", "session_id": 7824, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "Sorry, having trouble writing it in words, will use diagram", "session_id": 7824, "sequence_id": 59, "annotations": []}
{"role": "student", "content": "so the Z score, +1.96 not 0.98", "session_id": 7824, "sequence_id": 60, "annotations": []}
{"role": "student", "content": "Because it's a 95% confident in, so", "session_id": 7824, "sequence_id": 61, "annotations": []}
{"role": "student", "content": "that's what I was using.", "session_id": 7824, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "The SEM for the sample size 80 is not \u00b10.98?", "session_id": 7824, "sequence_id": 63, "annotations": []}
{"role": "student", "content": "OK. 447.", "session_id": 7824, "sequence_id": 64, "annotations": []}
{"role": "student", "content": "commanded by the squad of um", "session_id": 7824, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "Do you agree that the se will be 0.5?", "session_id": 7824, "sequence_id": 66, "annotations": []}
{"role": "student", "content": "Yes, I agree with that.", "session_id": 7824, "sequence_id": 67, "annotations": []}
{"role": "student", "content": "How long will it take for you to solve the whole problem?", "session_id": 7824, "sequence_id": 68, "annotations": []}
{"role": "student", "content": "Just asking out of curiosity.", "session_id": 7824, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "Do you agree that the 95% CI is \u00b1 1.96 x SE?", "session_id": 7824, "sequence_id": 70, "annotations": []}
{"role": "student", "content": "Yeah, so it would be like um 1.96 plus minus times 0.5, right?", "session_id": 7824, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "RIght, which is \u00b10.98", "session_id": 7824, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "0.98 in score value", "session_id": 7824, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "Or if you want the Z score score, you can just take (78-82)/0.5 = 8", "session_id": 7824, "sequence_id": 74, "annotations": []}
{"role": "student", "content": "Yeah, that's what I do.", "session_id": 7824, "sequence_id": 75, "annotations": []}
{"role": "student", "content": "I I was told to calculate disease score.", "session_id": 7824, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "That means the study mean was 8 z below the population mean, so obviously significantly different", "session_id": 7824, "sequence_id": 77, "annotations": []}
{"role": "student", "content": "like, and to find the upper and lower limits, I just take the Z score like the 1.96 plus and minus times the um the population standard deviation of the mean plus the mean.", "session_id": 7824, "sequence_id": 78, "annotations": []}
{"role": "student", "content": "plus the sample me", "session_id": 7824, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "So it seems this is answered.", "session_id": 7824, "sequence_id": 80, "annotations": []}
{"role": "student", "content": "You mean you answered all parts of the problem?", "session_id": 7824, "sequence_id": 81, "annotations": []}
{"role": "volunteer", "content": "I think so", "session_id": 7824, "sequence_id": 82, "annotations": []}
{"role": "volunteer", "content": "Except you have to explain what we did.", "session_id": 7824, "sequence_id": 83, "annotations": []}
{"role": "student", "content": "But, OK, so I wanted to ask the, the problem never asks us to figure out the um standard error like the 0.5.", "session_id": 7824, "sequence_id": 84, "annotations": []}
{"role": "student", "content": "Why do we need that?", "session_id": 7824, "sequence_id": 85, "annotations": []}
{"role": "student", "content": "Like I never did that in my homework problems.", "session_id": 7824, "sequence_id": 86, "annotations": []}
{"role": "volunteer", "content": "To calculate the z?", "session_id": 7824, "sequence_id": 87, "annotations": []}
{"role": "student", "content": "I never had to figure it out. My teacher never um went over it in glass like when we were doing practice problems.", "session_id": 7824, "sequence_id": 88, "annotations": []}
{"role": "student", "content": "I don't point um", "session_id": 7824, "sequence_id": 89, "annotations": []}
{"role": "student", "content": "you're supposed to use the probability value like 0.05, that the problem gives you.", "session_id": 7824, "sequence_id": 90, "annotations": []}
{"role": "volunteer", "content": "Can you lay out the calculations on the board the way the teacher would do them?", "session_id": 7824, "sequence_id": 91, "annotations": []}
{"role": "student", "content": "Like she does it with the 5 steps of hypothesis testing.", "session_id": 7824, "sequence_id": 92, "annotations": []}
{"role": "student", "content": "I don't actually have a picture of it because I'm on a computer so I can't upload my picture or anything.", "session_id": 7824, "sequence_id": 93, "annotations": []}
{"role": "volunteer", "content": "No, can you just type on the board the way I did?", "session_id": 7824, "sequence_id": 94, "annotations": []}
{"role": "student", "content": "Oh, I actually turned in my homework, so I forgot how I solve it, but I just follow the five steps of hypothesis testing, like, um, first I had to figure out the two populations being compared in the problem, um, and then, um, the first step would be stating the research and the no hypothesis, which is 80 and 81.", "session_id": 7824, "sequence_id": 95, "annotations": []}
{"role": "student", "content": "And then second step is to figure out the determine the characteristics of the comparison distribution, and third step is to um", "session_id": 7824, "sequence_id": 96, "annotations": []}
{"role": "student", "content": "determine the um um does critical value of the, um, of the, um, probability based on the probability, um, significance level.", "session_id": 7824, "sequence_id": 97, "annotations": []}
{"role": "student", "content": "like 0.05. So the critical value would be umplus and minus 1.96. Since it's a directional hypothesis.", "session_id": 7824, "sequence_id": 98, "annotations": []}
{"role": "student", "content": "And then the fourth step is to determine the sample score on the comparison distribution.", "session_id": 7824, "sequence_id": 99, "annotations": []}
{"role": "student", "content": "5th step is to finally decide to reject or um to whether to reject the No hypothesis.", "session_id": 7824, "sequence_id": 100, "annotations": []}
{"role": "student", "content": "The no hypothesis.", "session_id": 7824, "sequence_id": 101, "annotations": []}
{"role": "student", "content": "No", "session_id": 7824, "sequence_id": 102, "annotations": []}
{"role": "student", "content": "No", "session_id": 7824, "sequence_id": 103, "annotations": []}
{"role": "student", "content": "null hypthesis", "session_id": 7824, "sequence_id": 104, "annotations": []}
{"role": "student", "content": "And then I had to figure out the confident intervals.", "session_id": 7824, "sequence_id": 105, "annotations": []}
{"role": "volunteer", "content": "So it's the calculating the CI that I did differently here?", "session_id": 7824, "sequence_id": 106, "annotations": []}
{"role": "volunteer", "content": "How would you have done it?", "session_id": 7824, "sequence_id": 107, "annotations": []}
{"role": "volunteer", "content": "But it sounds like you already have a good grasp of how to solve these.", "session_id": 7824, "sequence_id": 108, "annotations": []}
{"role": "student", "content": "But on the exam, it was kind of difficult with the 3rd step cause I could figure out some of it and some of it was difficult like.", "session_id": 7824, "sequence_id": 109, "annotations": []}
{"role": "student", "content": "3rd and the 4th step were had to like um especially the 4th step, where I, I have to determine the um sample score on the comparison distribution.", "session_id": 7824, "sequence_id": 110, "annotations": []}
{"role": "student", "content": "So I was doing something like the um X minus, no, the formula is X minus the population of the population of the means of the distended.", "session_id": 7824, "sequence_id": 111, "annotations": []}
{"role": "student", "content": "Mhm", "session_id": 7824, "sequence_id": 112, "annotations": []}
{"role": "student", "content": "turn this off.", "session_id": 7824, "sequence_id": 113, "annotations": []}
{"role": "volunteer", "content": "I do see I made a mistake on the study population size also. It should be 50. But it doesn't matter for the discussion of how to answer the question.", "session_id": 7824, "sequence_id": 114, "annotations": []}
{"role": "student", "content": "Population.", "session_id": 7824, "sequence_id": 115, "annotations": []}
{"role": "student", "content": "formula x-populationm/sdm used in class", "session_id": 7824, "sequence_id": 116, "annotations": []}
{"role": "volunteer", "content": "Yes, that's the formula we used here.", "session_id": 7824, "sequence_id": 117, "annotations": []}
{"role": "student", "content": "So the N is 50, right?", "session_id": 7824, "sequence_id": 118, "annotations": []}
{"role": "volunteer", "content": "Want to try another one and show me how you work through it?", "session_id": 7824, "sequence_id": 119, "annotations": []}
{"role": "volunteer", "content": "Yes.", "session_id": 7824, "sequence_id": 120, "annotations": []}
{"role": "volunteer", "content": "Hello Sarah!", "session_id": 7926, "sequence_id": 0, "annotations": [{"pii_type": "PERSON", "surrogate": "Sarah", "start": 6, "end": 11}]}
{"role": "student", "content": "Hey I a new at this app and i want to know more about this app", "session_id": 7926, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "Am*", "session_id": 7926, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "Okay sure", "session_id": 7926, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "If you need help in solving problem on any particular subject, you can ask for help here in the App, and one of the volunteers will guide you through", "session_id": 7926, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "Ohh okayy", "session_id": 7926, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "Do you have anything that I can help you today?", "session_id": 7926, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "No but thank you", "session_id": 7926, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "okay, no problem", "session_id": 7926, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "Have a great day!", "session_id": 7926, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "Okay thank you for letting me know more about this app", "session_id": 7926, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "It's my pleasure! Bye now", "session_id": 7926, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "Bye", "session_id": 7926, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "hello", "session_id": 12481, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "hi", "session_id": 12481, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "so I'm doing my path but I'm terrible with fractions but I'm starting to get better a little", "session_id": 12481, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "thats good", "session_id": 12481, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "how can i help you", "session_id": 12481, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "so can you check if my answer is right when I'm done solving it", "session_id": 12481, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 12481, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "till now its correct", "session_id": 12481, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "I'm not done", "session_id": 12481, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 12481, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "simplify it", "session_id": 12481, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "how do you want me to do that", "session_id": 12481, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "like subtracting it", "session_id": 12481, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "ohhhh", "session_id": 12481, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "here also", "session_id": 12481, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "also what?", "session_id": 12481, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "the 2nd example you wrote", "session_id": 12481, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "want me to show the last one?", "session_id": 12481, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "yes", "session_id": 12481, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "this ?", "session_id": 12481, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "how did you get 4/5?", "session_id": 12481, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "well i just wrote it as the question", "session_id": 12481, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "you can change it as you like", "session_id": 12481, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "no thanks", "session_id": 12481, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "I'm on my next question", "session_id": 12481, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "wait so", "session_id": 12481, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 12481, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "take out the 2", "session_id": 12481, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "and the four", "session_id": 12481, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "then times the 5", "session_id": 12481, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 12481, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "nice", "session_id": 12481, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "did I get it correct?", "session_id": 12481, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 12481, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "I got a", "session_id": 12481, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "3/5", "session_id": 12481, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "\" \"\n__", "session_id": 12481, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "which ones were wrong?", "session_id": 12481, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "it doesn't tell me", "session_id": 12481, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "wait", "session_id": 12481, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "but can you show me a question so I can answer it?", "session_id": 12481, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "wait", "session_id": 12481, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "I am waiting", "session_id": 12481, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "that is 2 on numerator", "session_id": 12481, "sequence_id": 43, "annotations": []}
{"role": "student", "content": "ok can you teach me how to simplify bc I'm still confussed on how you got 2", "session_id": 12481, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "i gave 2 in the question only", "session_id": 12481, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "ok", "session_id": 12481, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "i am sorry if you cant understand my handwriting \nmy stylus is broken", "session_id": 12481, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "want to learn a trick?", "session_id": 12481, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "yes", "session_id": 12481, "sequence_id": 49, "annotations": []}
{"role": "student", "content": "wait I got one question", "session_id": 12481, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "give it", "session_id": 12481, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "your showing me a 7th math problem right?", "session_id": 12481, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "i just used variables instead of numbers", "session_id": 12481, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "if you want i can show by numbers", "session_id": 12481, "sequence_id": 54, "annotations": []}
{"role": "student", "content": "wait but I haven't learn the number variables yet", "session_id": 12481, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "oh", "session_id": 12481, "sequence_id": 56, "annotations": []}
{"role": "student", "content": "and I'm in AP", "session_id": 12481, "sequence_id": 57, "annotations": [{"pii_type": "GRADE_LEVEL", "surrogate": "AP", "start": 11, "end": 13}]}
{"role": "volunteer", "content": "i am sorry", "session_id": 12481, "sequence_id": 58, "annotations": []}
{"role": "student", "content": "that's fine", "session_id": 12481, "sequence_id": 59, "annotations": []}
{"role": "student", "content": "ok now I get it thank you", "session_id": 12481, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "top most with bottom most", "session_id": 12481, "sequence_id": 61, "annotations": []}
{"role": "student", "content": "ok bye now", "session_id": 12481, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "Hi Sam", "session_id": 12789, "sequence_id": 0, "annotations": [{"pii_type": "PERSON", "surrogate": "Sam", "start": 3, "end": 6}]}
{"role": "student", "content": "Hello! So I want to rework on the problems that I did in class with my teacher because I am still confused on them and I am very terrible with some of these problems. I am kinda familiar with the concept but not really. Can you go over the same problems like in order from the pdf that I did in class. I am currently on page 2 problem 9! Can you help me with reworking the same problem and then create one from scratch just like it but with different numbers & vairables. I want to do it in order from the second page. Here's the pdf link to access it: https://example.com/math_problems.pdf", "session_id": 12789, "sequence_id": 1, "annotations": [{"pii_type": "URL", "surrogate": "https://example.com/math_problems.pdf", "start": 553, "end": 590}]}
{"role": "volunteer", "content": "let me give that a shot", "session_id": 12789, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "i have that problem now.  want to work it on the whiteboard?", "session_id": 12789, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "I want it with diff numbers", "session_id": 12789, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "do you want to do it the way the problem says by factoring the first three terms?", "session_id": 12789, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "Yes just w diff numbers everythin the same", "session_id": 12789, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "now i get it.  want me to make up a problem?", "session_id": 12789, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "yes", "session_id": 12789, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "cool.  give me a second.  i will do it on paper offline first", "session_id": 12789, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "Ok", "session_id": 12789, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "i actually have a problem", "session_id": 12789, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "i like that better", "session_id": 12789, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "are the 2's exponents?", "session_id": 12789, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "mhm", "session_id": 12789, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "take a shot here.  i will watch", "session_id": 12789, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "so its 3+3", "session_id": 12789, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "yes (m + 3) (m+3)", "session_id": 12789, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "this?", "session_id": 12789, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "the last term would still be 16n^2", "session_id": 12789, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "oh i thought u change it bc of perfect square", "session_id": 12789, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "yes.  or you can write it as (4n)^2", "session_id": 12789, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "yeah i had that", "session_id": 12789, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "but 4 is a perfect square too", "session_id": 12789, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "you could do it as (2^2n)^2", "session_id": 12789, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "4n^2 doesn't equal 16n^2", "session_id": 12789, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "Wait", "session_id": 12789, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "lets move to page 3", "session_id": 12789, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "cool", "session_id": 12789, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "ok so i dont get the", "session_id": 12789, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "difference of squares and cubes part", "session_id": 12789, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "like what is it conveying", "session_id": 12789, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "so i think it its saying take out the squares (raised to the second power or 4th power) first and then finish factoring'", "session_id": 12789, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "Ok I think i get it", "session_id": 12789, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "We can do page 4 #10", "session_id": 12789, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "cool.  you want to make up a problem?", "session_id": 12789, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "Sure", "session_id": 12789, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "you will kind of answer it if you can make up one that factors", "session_id": 12789, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "Ill create the problem", "session_id": 12789, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "Well lets solve the original problem first", "session_id": 12789, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "perfect", "session_id": 12789, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "then we can solve one just like it", "session_id": 12789, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 12789, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "Alright", "session_id": 12789, "sequence_id": 43, "annotations": []}
{"role": "student", "content": "5x5x4=125", "session_id": 12789, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "*5", "session_id": 12789, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "5x5x5", "session_id": 12789, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "5x5x5", "session_id": 12789, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "you got it", "session_id": 12789, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "and what about one", "session_id": 12789, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "as the answer?", "session_id": 12789, "sequence_id": 50, "annotations": []}
{"role": "student", "content": "why does the exponnet become 2", "session_id": 12789, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "and not 3", "session_id": 12789, "sequence_id": 52, "annotations": []}
{"role": "student", "content": "oh bc it becomes the opposite", "session_id": 12789, "sequence_id": 53, "annotations": []}
{"role": "student", "content": "ok i think i get it let me recreate one", "session_id": 12789, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "cool", "session_id": 12789, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "hint: that one won't factor", "session_id": 12789, "sequence_id": 56, "annotations": []}
{"role": "student", "content": "Im gonna write the answer", "session_id": 12789, "sequence_id": 57, "annotations": []}
{"role": "student", "content": "is this right", "session_id": 12789, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "close.  you have the right pattern with the pluses and minuses.  let me give you a hint", "session_id": 12789, "sequence_id": 59, "annotations": []}
{"role": "student", "content": "how is it not 64?", "session_id": 12789, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "remember the if there was no leading coeffcient the (a-b)(a^2+ab+ b^2) pattern.  is the 64 I have underlined a square of 4x?", "session_id": 12789, "sequence_id": 61, "annotations": []}
{"role": "student", "content": "Umm i'm not understanding", "session_id": 12789, "sequence_id": 62, "annotations": []}
{"role": "student", "content": "oh wait", "session_id": 12789, "sequence_id": 63, "annotations": []}
{"role": "student", "content": "its 4?", "session_id": 12789, "sequence_id": 64, "annotations": []}
{"role": "student", "content": "wait no 16", "session_id": 12789, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "you got it", "session_id": 12789, "sequence_id": 66, "annotations": []}
{"role": "student", "content": "I want one more problem to make sure i fully understand", "session_id": 12789, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "4x times 16x^2 equals 64x^3", "session_id": 12789, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "these are hard.  you are doing a good job", "session_id": 12789, "sequence_id": 69, "annotations": []}
{"role": "student", "content": "yep", "session_id": 12789, "sequence_id": 70, "annotations": []}
{"role": "student", "content": "the 8 becomes (8)^3?", "session_id": 12789, "sequence_id": 71, "annotations": []}
{"role": "student", "content": "it stays as 8", "session_id": 12789, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "other way around.  what is the cube root of 8", "session_id": 12789, "sequence_id": 73, "annotations": []}
{"role": "student", "content": "2", "session_id": 12789, "sequence_id": 74, "annotations": []}
{"role": "volunteer", "content": "x times x times x =8", "session_id": 12789, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "you got it", "session_id": 12789, "sequence_id": 76, "annotations": []}
{"role": "student", "content": "is this right?", "session_id": 12789, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "perfect.", "session_id": 12789, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "nice job here", "session_id": 12789, "sequence_id": 79, "annotations": []}
{"role": "student", "content": "Thank you", "session_id": 12789, "sequence_id": 80, "annotations": []}
{"role": "student", "content": "Ok now 11", "session_id": 12789, "sequence_id": 81, "annotations": []}
{"role": "volunteer", "content": "my pleasure.", "session_id": 12789, "sequence_id": 82, "annotations": []}
{"role": "volunteer", "content": "similar but not the same pattern here as the ones you have been doing", "session_id": 12789, "sequence_id": 83, "annotations": []}
{"role": "student", "content": "8 isnt cube its a perfect square", "session_id": 12789, "sequence_id": 84, "annotations": []}
{"role": "student", "content": "27 is", "session_id": 12789, "sequence_id": 85, "annotations": []}
{"role": "volunteer", "content": "yes both are", "session_id": 12789, "sequence_id": 86, "annotations": []}
{"role": "student", "content": "i thought perfect cube is when its divisale by 3", "session_id": 12789, "sequence_id": 87, "annotations": []}
{"role": "student", "content": "like the number", "session_id": 12789, "sequence_id": 88, "annotations": []}
{"role": "student", "content": "8/3", "session_id": 12789, "sequence_id": 89, "annotations": []}
{"role": "volunteer", "content": "not divisible by three but the numbers when multiplied three times = the cubed number", "session_id": 12789, "sequence_id": 90, "annotations": []}
{"role": "volunteer", "content": "you have the cubes correct", "session_id": 12789, "sequence_id": 91, "annotations": []}
{"role": "student", "content": "ok", "session_id": 12789, "sequence_id": 92, "annotations": []}
{"role": "student", "content": "ib solved it im gonna put a new one on the whiteboard", "session_id": 12789, "sequence_id": 93, "annotations": []}
{"role": "volunteer", "content": "sorry.  what you had wasn't the fully factored answer to the problem before", "session_id": 12789, "sequence_id": 94, "annotations": []}
{"role": "volunteer", "content": "we can work this one if you want", "session_id": 12789, "sequence_id": 95, "annotations": []}
{"role": "volunteer", "content": "you found the cubes, but there is more to be done", "session_id": 12789, "sequence_id": 96, "annotations": []}
{"role": "student", "content": "hiiii", "session_id": 13063, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "hiii", "session_id": 13063, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "how can I help you?", "session_id": 13063, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "i was wondering if u could check my answers", "session_id": 13063, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "sure", "session_id": 13063, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "I agree with your answers", "session_id": 13063, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "is there anything else I can do for you?", "session_id": 13063, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "yuh theres more questions", "session_id": 13063, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "okay", "session_id": 13063, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "these look good as well", "session_id": 13063, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "how about this one", "session_id": 13063, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "looks good", "session_id": 13063, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "oki thank u so much, is it okay if i double check it with another tutor?", "session_id": 13063, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "of course", "session_id": 13063, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "thank u have a good day?", "session_id": 13063, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "!", "session_id": 13063, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "Hello! I was wondering if you can help me with this, I am currently working ahead so I kinda have no idea how to do this.", "session_id": 16689, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "Hi Chloe,", "session_id": 16689, "sequence_id": 1, "annotations": [{"pii_type": "PERSON", "surrogate": "Chloe", "start": 3, "end": 8}]}
{"role": "volunteer", "content": "Sure we can work on https://example.com/mathart with (a)?", "session_id": 16689, "sequence_id": 2, "annotations": [{"pii_type": "URL", "surrogate": "https://example.com/math", "start": 20, "end": 44}]}
{"role": "student", "content": "yes", "session_id": 16689, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "would it just be 3a?", "session_id": 16689, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "or lie 3", "session_id": 16689, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "*like", "session_id": 16689, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "Here is the thing...3 works right?", "session_id": 16689, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "3 is a solution", "session_id": 16689, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "but is 3 the only solution?", "session_id": 16689, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "no", "session_id": 16689, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "what is the other solution you know?", "session_id": 16689, "sequence_id": 11, "annotations": [{"pii_type": "URL", "surrogate": "solution", "start": 18, "end": 26}]}
{"role": "student", "content": "-3,3", "session_id": 16689, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "right...exactly because the solution set is {.-3.3}", "session_id": 16689, "sequence_id": 13, "annotations": [{"pii_type": "URL", "surrogate": "because", "start": 16, "end": 23}]}
{"role": "student", "content": "and |a|=-4 is {-4,4}", "session_id": 16689, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "and then 0 is 0", "session_id": 16689, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "okay, lets do one at at time. The answerswer to (b) is likeke you said that is good", "session_id": 16689, "sequence_id": 16, "annotations": [{"pii_type": "URL", "surrogate": "time. The answer", "start": 24, "end": 40}, {"pii_type": "URL", "surrogate": "like", "start": 55, "end": 59}, {"pii_type": "URL", "surrogate": "said", "start": 66, "end": 70}]}
{"role": "student", "content": "wait so how is 4 no solution", "session_id": 16689, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "is it bc its already negative?", "session_id": 16689, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "but I have a little problem with your answer to (c)....right, you can't take absolute value and get a negative result. So \"no solution\" for (c)", "session_id": 16689, "sequence_id": 19, "annotations": [{"pii_type": "URL", "surrogate": "negative result. So", "start": 102, "end": 121}]}
{"role": "student", "content": "yeah i fixed it", "session_id": 16689, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "m+2=7 is 5", "session_id": 16689, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "5,-5", "session_id": 16689, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "b is no sol", "session_id": 16689, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "back on (a)it's not quite that easy", "session_id": 16689, "sequence_id": 24, "annotations": [{"pii_type": "URL", "surrogate": "it's no", "start": 11, "end": 18}]}
{"role": "student", "content": "and c is no sol?", "session_id": 16689, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "5 is a solution for (a), but I don't like the way it's presented. For instance |-5+2|= |-3| = 3...right?", "session_id": 16689, "sequence_id": 26, "annotations": [{"pii_type": "URL", "surrogate": "the way it's presented. For insta", "start": 42, "end": 75}]}
{"role": "volunteer", "content": "these are easy enough that you can get the answer without a method, but if you like I can show you the method", "session_id": 16689, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "sure show me it", "session_id": 16689, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "i did 7-2 and got positive 5", "session_id": 16689, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "ok, let's work below your post", "session_id": 16689, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "how is that -7", "session_id": 16689, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "i thought you do 7-2", "session_id": 16689, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "we make two equations likeke I showed. Then we solve both of them", "session_id": 16689, "sequence_id": 33, "annotations": [{"pii_type": "URL", "surrogate": "equations like", "start": 12, "end": 26}, {"pii_type": "URL", "surrogate": "showed. Th", "start": 31, "end": 41}]}
{"role": "student", "content": "oh so that why it isn't 5,-5", "session_id": 16689, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "You are fast", "session_id": 16689, "sequence_id": 35, "annotations": [{"pii_type": "URL", "surrogate": "You", "start": 0, "end": 3}]}
{"role": "volunteer", "content": "plug in -5 and see if you get the right answers?", "session_id": 16689, "sequence_id": 36, "annotations": [{"pii_type": "URL", "surrogate": "see if", "start": 15, "end": 21}]}
{"role": "student", "content": "i did put in {5,-5}", "session_id": 16689, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "it said its wrong", "session_id": 16689, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "right, answer is {-9, 5} like our method showed...right?", "session_id": 16689, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "ohh so thats the answer", "session_id": 16689, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "yep!", "session_id": 16689, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "next one", "session_id": 16689, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "you want to try or should I work it?", "session_id": 16689, "sequence_id": 43, "annotations": []}
{"role": "student", "content": "ill do it myself", "session_id": 16689, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "and then u cna look at it", "session_id": 16689, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "sounds good", "session_id": 16689, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "can u erase the bottom", "session_id": 16689, "sequence_id": 47, "annotations": []}
{"role": "student", "content": "can you", "session_id": 16689, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "so its -2,2", "session_id": 16689, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "not quite", "session_id": 16689, "sequence_id": 50, "annotations": []}
{"role": "student", "content": "still said its wrong", "session_id": 16689, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "first equation is good m+2=0", "session_id": 16689, "sequence_id": 52, "annotations": []}
{"role": "student", "content": "yeah makes sense", "session_id": 16689, "sequence_id": 53, "annotations": []}
{"role": "student", "content": "mhm", "session_id": 16689, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "but second equation should be x+2 = -0", "session_id": 16689, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "which is same as x+2=0", "session_id": 16689, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "so there is only one solution. Do you see what I mean?", "session_id": 16689, "sequence_id": 57, "annotations": [{"pii_type": "URL", "surrogate": "solution. Do you se", "start": 21, "end": 40}]}
{"role": "student", "content": "wait lets redo a new one", "session_id": 16689, "sequence_id": 58, "annotations": []}
{"role": "student", "content": "i clicked \"try another oen\" bc i want a 100%", "session_id": 16689, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "ok, let's do this one", "session_id": 16689, "sequence_id": 60, "annotations": []}
{"role": "student", "content": "lmk if my answers right", "session_id": 16689, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "not quite...let's work the method...let me write the eqns", "session_id": 16689, "sequence_id": 62, "annotations": []}
{"role": "student", "content": "ok", "session_id": 16689, "sequence_id": 63, "annotations": []}
{"role": "student", "content": "5-1 is 4", "session_id": 16689, "sequence_id": 64, "annotations": []}
{"role": "student", "content": "the outside number", "session_id": 16689, "sequence_id": 65, "annotations": []}
{"role": "student", "content": "ive been changing the inside number this whole time", "session_id": 16689, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "like that", "session_id": 16689, "sequence_id": 67, "annotations": []}
{"role": "student", "content": "4 and -6", "session_id": 16689, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "perfect", "session_id": 16689, "sequence_id": 69, "annotations": []}
{"role": "student", "content": "i had that", "session_id": 16689, "sequence_id": 70, "annotations": []}
{"role": "student", "content": "so its -6,4", "session_id": 16689, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "if you plug them in and check you will find they work", "session_id": 16689, "sequence_id": 72, "annotations": []}
{"role": "student", "content": "so its -6,4?", "session_id": 16689, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "perfect", "session_id": 16689, "sequence_id": 74, "annotations": []}
{"role": "student", "content": "#2 is just {-1}", "session_id": 16689, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "so, here is the thing to notice...when the equations are set to 0, there is only going to be 1 solution. Do you see what I mean", "session_id": 16689, "sequence_id": 76, "annotations": [{"pii_type": "URL", "surrogate": "solution. Do you se", "start": 95, "end": 114}]}
{"role": "student", "content": "yeah so just {-1}\\", "session_id": 16689, "sequence_id": 77, "annotations": []}
{"role": "student", "content": "right?", "session_id": 16689, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "yes, just {-1}", "session_id": 16689, "sequence_id": 79, "annotations": []}
{"role": "student", "content": "and samething for c as for a", "session_id": 16689, "sequence_id": 80, "annotations": []}
{"role": "student", "content": "-6,4", "session_id": 16689, "sequence_id": 81, "annotations": []}
{"role": "volunteer", "content": "no, actually, (c) has not solutions", "session_id": 16689, "sequence_id": 82, "annotations": []}
{"role": "student", "content": "oh bc it starts out as negative", "session_id": 16689, "sequence_id": 83, "annotations": []}
{"role": "volunteer", "content": "whenever an absolute value is set to a negative, there can", "session_id": 16689, "sequence_id": 84, "annotations": []}
{"role": "volunteer", "content": "t be any", "session_id": 16689, "sequence_id": 85, "annotations": []}
{"role": "student", "content": "so anytime the number is already negative its no solution", "session_id": 16689, "sequence_id": 86, "annotations": []}
{"role": "volunteer", "content": "yes!", "session_id": 16689, "sequence_id": 87, "annotations": []}
{"role": "volunteer", "content": "ok, hold up", "session_id": 16689, "sequence_id": 88, "annotations": []}
{"role": "student", "content": "kk", "session_id": 16689, "sequence_id": 89, "annotations": []}
{"role": "volunteer", "content": "this one is a little more complicated", "session_id": 16689, "sequence_id": 90, "annotations": []}
{"role": "volunteer", "content": "to do this one, we need to put it in a form like the previous ones...we need the absolute value by itself", "session_id": 16689, "sequence_id": 91, "annotations": []}
{"role": "student", "content": "i get it", "session_id": 16689, "sequence_id": 92, "annotations": []}
{"role": "student", "content": "its -9,9", "session_id": 16689, "sequence_id": 93, "annotations": []}
{"role": "student", "content": "because the inside number is already -5", "session_id": 16689, "sequence_id": 94, "annotations": []}
{"role": "student", "content": "so we start off with the first number and don't change the 4 on the outside to a negative", "session_id": 16689, "sequence_id": 95, "annotations": []}
{"role": "student", "content": "right?", "session_id": 16689, "sequence_id": 96, "annotations": []}
{"role": "volunteer", "content": "yes, you are right", "session_id": 16689, "sequence_id": 97, "annotations": []}
{"role": "volunteer", "content": "hold up", "session_id": 16689, "sequence_id": 98, "annotations": []}
{"role": "student", "content": "no sol?", "session_id": 16689, "sequence_id": 99, "annotations": []}
{"role": "volunteer", "content": "start by getting the absolute value by itself", "session_id": 16689, "sequence_id": 100, "annotations": []}
{"role": "volunteer", "content": "do you know how to do that?", "session_id": 16689, "sequence_id": 101, "annotations": []}
{"role": "student", "content": "no i just did the method you taught me", "session_id": 16689, "sequence_id": 102, "annotations": []}
{"role": "student", "content": "and saw it was two neg numbrs", "session_id": 16689, "sequence_id": 103, "annotations": []}
{"role": "student", "content": "so i saw it as no sol", "session_id": 16689, "sequence_id": 104, "annotations": []}
{"role": "volunteer", "content": "right, but the ones we did before, had the absolute value by it self on the left hand side...let me show you how to do this one", "session_id": 16689, "sequence_id": 105, "annotations": []}
{"role": "student", "content": "yep", "session_id": 16689, "sequence_id": 106, "annotations": []}
{"role": "student", "content": "i did it in my head", "session_id": 16689, "sequence_id": 107, "annotations": []}
{"role": "student", "content": "thats why it doesn't look like that lol", "session_id": 16689, "sequence_id": 108, "annotations": []}
{"role": "volunteer", "content": "ok, now you can apply the method, but what does the method say when there is a negative on the right?", "session_id": 16689, "sequence_id": 109, "annotations": []}
{"role": "student", "content": "if its already neg then its no sol", "session_id": 16689, "sequence_id": 110, "annotations": []}
{"role": "volunteer", "content": "yep, no sol", "session_id": 16689, "sequence_id": 111, "annotations": []}
{"role": "student", "content": "this one is diff", "session_id": 16689, "sequence_id": 112, "annotations": []}
{"role": "student", "content": "so id be dividing this time", "session_id": 16689, "sequence_id": 113, "annotations": []}
{"role": "volunteer", "content": "sorry, can't do it that way", "session_id": 16689, "sequence_id": 114, "annotations": []}
{"role": "student", "content": "oh", "session_id": 16689, "sequence_id": 115, "annotations": []}
{"role": "volunteer", "content": "need to start with the isolated absolute value. Then create the two equations from the absolute value just like we did before", "session_id": 16689, "sequence_id": 116, "annotations": [{"pii_type": "URL", "surrogate": "isolated absolute value. Then cr", "start": 23, "end": 55}, {"pii_type": "URL", "surrogate": "value just li", "start": 96, "end": 109}]}
{"role": "volunteer", "content": "give it a try or I can show you", "session_id": 16689, "sequence_id": 117, "annotations": []}
{"role": "student", "content": "i am solving it right", "session_id": 16689, "sequence_id": 118, "annotations": []}
{"role": "student", "content": "i put the answer in already", "session_id": 16689, "sequence_id": 119, "annotations": []}
{"role": "student", "content": "its -5/4,7/4", "session_id": 16689, "sequence_id": 120, "annotations": []}
{"role": "volunteer", "content": "yes, you are right. You are fast!", "session_id": 16689, "sequence_id": 121, "annotations": [{"pii_type": "URL", "surrogate": "right. You", "start": 13, "end": 23}]}
{"role": "student", "content": "Lol!", "session_id": 16689, "sequence_id": 122, "annotations": []}
{"role": "student", "content": "ok this one may be trickier", "session_id": 16689, "sequence_id": 123, "annotations": []}
{"role": "student", "content": "i need help solving this one actually", "session_id": 16689, "sequence_id": 124, "annotations": []}
{"role": "volunteer", "content": "ok, start by getting the absolute value by itself", "session_id": 16689, "sequence_id": 125, "annotations": []}
{"role": "student", "content": "so add 4 to 53", "session_id": 16689, "sequence_id": 126, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 16689, "sequence_id": 127, "annotations": []}
{"role": "student", "content": "now what", "session_id": 16689, "sequence_id": 128, "annotations": []}
{"role": "volunteer", "content": "now it is just like the last one", "session_id": 16689, "sequence_id": 129, "annotations": []}
{"role": "student", "content": "ohhh", "session_id": 16689, "sequence_id": 130, "annotations": []}
{"role": "student", "content": "gotcha", "session_id": 16689, "sequence_id": 131, "annotations": []}
{"role": "volunteer", "content": "looks good. Not sure if your software wants you so simplify", "session_id": 16689, "sequence_id": 132, "annotations": [{"pii_type": "URL", "surrogate": "good. No", "start": 6, "end": 14}]}
{"role": "student", "content": "yes simplify", "session_id": 16689, "sequence_id": 133, "annotations": []}
{"role": "volunteer", "content": "will it take -5.4?", "session_id": 16689, "sequence_id": 134, "annotations": []}
{"role": "student", "content": "-27/5,6", "session_id": 16689, "sequence_id": 135, "annotations": []}
{"role": "volunteer", "content": "I'm good with that", "session_id": 16689, "sequence_id": 136, "annotations": []}
{"role": "student", "content": "omgg this is diff", "session_id": 16689, "sequence_id": 137, "annotations": []}
{"role": "volunteer", "content": "ok, ...harder yet", "session_id": 16689, "sequence_id": 138, "annotations": []}
{"role": "student", "content": "would i do 8-2?", "session_id": 16689, "sequence_id": 139, "annotations": []}
{"role": "student", "content": "or combine 3 and 3", "session_id": 16689, "sequence_id": 140, "annotations": []}
{"role": "student", "content": "*3 and 2", "session_id": 16689, "sequence_id": 141, "annotations": []}
{"role": "volunteer", "content": "but just follow the same procedure. Start by getting the absolute value by itself", "session_id": 16689, "sequence_id": 142, "annotations": [{"pii_type": "URL", "surrogate": "procedure. St", "start": 25, "end": 38}]}
{"role": "student", "content": "and do 8-5", "session_id": 16689, "sequence_id": 143, "annotations": []}
{"role": "volunteer", "content": "Notr sure where the 5 came from?", "session_id": 16689, "sequence_id": 144, "annotations": [{"pii_type": "URL", "surrogate": "Not", "start": 0, "end": 3}]}
{"role": "volunteer", "content": "want help?", "session_id": 16689, "sequence_id": 145, "annotations": []}
{"role": "student", "content": "i thought you combine like terms", "session_id": 16689, "sequence_id": 146, "annotations": []}
{"role": "volunteer", "content": "yep, now how do we get rid of the 3 in front?", "session_id": 16689, "sequence_id": 147, "annotations": []}
{"role": "student", "content": "subtract?", "session_id": 16689, "sequence_id": 148, "annotations": []}
{"role": "volunteer", "content": "how about divide?", "session_id": 16689, "sequence_id": 149, "annotations": []}
{"role": "student", "content": "i thought u only do thati f its x", "session_id": 16689, "sequence_id": 150, "annotations": []}
{"role": "volunteer", "content": "the 3 is multiplied by |3x+3| so to get rid of it we divide", "session_id": 16689, "sequence_id": 151, "annotations": []}
{"role": "student", "content": "ok i have 2", "session_id": 16689, "sequence_id": 152, "annotations": []}
{"role": "volunteer", "content": "hold up", "session_id": 16689, "sequence_id": 153, "annotations": []}
{"role": "volunteer", "content": "use the simplified equation to apply our method", "session_id": 16689, "sequence_id": 154, "annotations": []}
{"role": "student", "content": "ohh", "session_id": 16689, "sequence_id": 155, "annotations": []}
{"role": "volunteer", "content": "see what I mean?", "session_id": 16689, "sequence_id": 156, "annotations": []}
{"role": "student", "content": "i get it", "session_id": 16689, "sequence_id": 157, "annotations": []}
{"role": "student", "content": "ok ill try the next one on my own", "session_id": 16689, "sequence_id": 158, "annotations": []}
{"role": "volunteer", "content": "sounds good", "session_id": 16689, "sequence_id": 159, "annotations": []}
{"role": "student", "content": "uhh im stuck", "session_id": 16689, "sequence_id": 160, "annotations": []}
{"role": "volunteer", "content": "We should work with the two eqns I provided. We have alread solved one, we just need to solve the other", "session_id": 16689, "sequence_id": 161, "annotations": [{"pii_type": "URL", "surrogate": "We", "start": 0, "end": 2}, {"pii_type": "URL", "surrogate": "provided. We have alread", "start": 35, "end": 59}]}
{"role": "student", "content": "i change the 8 to -8 right?", "session_id": 16689, "sequence_id": 162, "annotations": []}
{"role": "volunteer", "content": "ok, that's good", "session_id": 16689, "sequence_id": 163, "annotations": []}
{"role": "volunteer", "content": "let me summarize", "session_id": 16689, "sequence_id": 164, "annotations": []}
{"role": "student", "content": "nvm i get it", "session_id": 16689, "sequence_id": 165, "annotations": []}
{"role": "student", "content": "you only do that when u solve it then u change that # to pos and then negative", "session_id": 16689, "sequence_id": 166, "annotations": []}
{"role": "student", "content": "like the 2", "session_id": 16689, "sequence_id": 167, "annotations": []}
{"role": "student", "content": "ughh this looks difficult", "session_id": 16689, "sequence_id": 168, "annotations": []}
{"role": "volunteer", "content": "Nicece...let's see if you are up to this one", "session_id": 16689, "sequence_id": 169, "annotations": [{"pii_type": "URL", "surrogate": "Nice", "start": 0, "end": 4}]}
{"role": "volunteer", "content": "remember start by getting the | | by itself", "session_id": 16689, "sequence_id": 170, "annotations": []}
{"role": "student", "content": "would i do", "session_id": 16689, "sequence_id": 171, "annotations": []}
{"role": "student", "content": "1/3+1/3", "session_id": 16689, "sequence_id": 172, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 16689, "sequence_id": 173, "annotations": []}
{"role": "volunteer", "content": "write it out so I can see what you are doing", "session_id": 16689, "sequence_id": 174, "annotations": []}
{"role": "student", "content": "kk", "session_id": 16689, "sequence_id": 175, "annotations": []}
{"role": "volunteer", "content": "Next step?", "session_id": 16689, "sequence_id": 176, "annotations": [{"pii_type": "URL", "surrogate": "Ne", "start": 0, "end": 2}]}
{"role": "volunteer", "content": "yep", "session_id": 16689, "sequence_id": 177, "annotations": []}
{"role": "student", "content": "subtract the 5", "session_id": 16689, "sequence_id": 178, "annotations": []}
{"role": "volunteer", "content": "now what are the two eqn?", "session_id": 16689, "sequence_id": 179, "annotations": []}
{"role": "volunteer", "content": "equations?", "session_id": 16689, "sequence_id": 180, "annotations": []}
{"role": "student", "content": "how do you subtract a fraction", "session_id": 16689, "sequence_id": 181, "annotations": []}
{"role": "volunteer", "content": "wait", "session_id": 16689, "sequence_id": 182, "annotations": []}
{"role": "volunteer", "content": "we can't just start subtracting inside the absolute value to. To get rid of the absulute value sign we need to do the 2 equation thing", "session_id": 16689, "sequence_id": 183, "annotations": [{"pii_type": "URL", "surrogate": "to. To", "start": 58, "end": 64}]}
{"role": "volunteer", "content": "like that...right?", "session_id": 16689, "sequence_id": 184, "annotations": []}
{"role": "student", "content": "yeah its 26/3", "session_id": 16689, "sequence_id": 185, "annotations": []}
{"role": "student", "content": "and then 34/3", "session_id": 16689, "sequence_id": 186, "annotations": []}
{"role": "student", "content": "i was doing it right", "session_id": 16689, "sequence_id": 187, "annotations": []}
{"role": "volunteer", "content": "ok, you just like to skip steps?", "session_id": 16689, "sequence_id": 188, "annotations": []}
{"role": "student", "content": "No I didn't skip", "session_id": 16689, "sequence_id": 189, "annotations": []}
{"role": "student", "content": "I just think I'm solving it diff than you", "session_id": 16689, "sequence_id": 190, "annotations": []}
{"role": "student", "content": "bc I did the keep change flip", "session_id": 16689, "sequence_id": 191, "annotations": []}
{"role": "volunteer", "content": "Fine if you get the right answer :)", "session_id": 16689, "sequence_id": 192, "annotations": [{"pii_type": "URL", "surrogate": "Fi", "start": 0, "end": 2}]}
{"role": "volunteer", "content": "ok, how do we start this one?", "session_id": 16689, "sequence_id": 193, "annotations": []}
{"role": "student", "content": "9+3?", "session_id": 16689, "sequence_id": 194, "annotations": []}
{"role": "volunteer", "content": "Hmmm", "session_id": 16689, "sequence_id": 195, "annotations": []}
{"role": "student", "content": "wait", "session_id": 16689, "sequence_id": 196, "annotations": []}
{"role": "student", "content": "its no sol", "session_id": 16689, "sequence_id": 197, "annotations": []}
{"role": "volunteer", "content": "the -3 is front does what to the  abs vaue?", "session_id": 16689, "sequence_id": 198, "annotations": []}
{"role": "student", "content": "bc of the negative", "session_id": 16689, "sequence_id": 199, "annotations": []}
{"role": "volunteer", "content": "yeah we get |w-9| = -3   so no sol", "session_id": 16689, "sequence_id": 200, "annotations": []}
{"role": "student", "content": "is this no sol?", "session_id": 16689, "sequence_id": 201, "annotations": []}
{"role": "volunteer", "content": "last one or did you post a new one?", "session_id": 16689, "sequence_id": 202, "annotations": []}
{"role": "student", "content": "this on", "session_id": 16689, "sequence_id": 203, "annotations": []}
{"role": "student", "content": "nvm im wrong", "session_id": 16689, "sequence_id": 204, "annotations": []}
{"role": "student", "content": "would i add 62 to 8", "session_id": 16689, "sequence_id": 205, "annotations": []}
{"role": "volunteer", "content": "ahhh there it is", "session_id": 16689, "sequence_id": 206, "annotations": []}
{"role": "volunteer", "content": "yes add", "session_id": 16689, "sequence_id": 207, "annotations": []}
{"role": "student", "content": "54-3?", "session_id": 16689, "sequence_id": 208, "annotations": []}
{"role": "volunteer", "content": "divide by 3 you mean?", "session_id": 16689, "sequence_id": 209, "annotations": []}
{"role": "student", "content": "ohh i see", "session_id": 16689, "sequence_id": 210, "annotations": []}
{"role": "student", "content": "{-13,5}", "session_id": 16689, "sequence_id": 211, "annotations": []}
{"role": "volunteer", "content": "very nice !!", "session_id": 16689, "sequence_id": 212, "annotations": []}
{"role": "student", "content": "do you still have time?", "session_id": 16689, "sequence_id": 213, "annotations": []}
{"role": "volunteer", "content": "How many more do you have?", "session_id": 16689, "sequence_id": 214, "annotations": [{"pii_type": "URL", "surrogate": "How", "start": 0, "end": 3}]}
{"role": "student", "content": "4", "session_id": 16689, "sequence_id": 215, "annotations": []}
{"role": "volunteer", "content": "let's do a few more & see how they go...I think you are getting the hang of it....but I know you understand 100%", "session_id": 16689, "sequence_id": 216, "annotations": []}
{"role": "student", "content": "its kinda diff & give me one sec", "session_id": 16689, "sequence_id": 217, "annotations": []}
{"role": "student", "content": "oh this is for a diff assignment", "session_id": 16689, "sequence_id": 218, "annotations": []}
{"role": "volunteer", "content": "ok, let's take a look", "session_id": 16689, "sequence_id": 219, "annotations": []}
{"role": "student", "content": "Hold on sec", "session_id": 16689, "sequence_id": 220, "annotations": []}
{"role": "volunteer", "content": "I see...have you worked on these before?", "session_id": 16689, "sequence_id": 221, "annotations": []}
{"role": "student", "content": "nvm solved it", "session_id": 16689, "sequence_id": 222, "annotations": []}
{"role": "student", "content": "solving on paper rn", "session_id": 16689, "sequence_id": 223, "annotations": []}
{"role": "volunteer", "content": "Hmmm...let me work on it and see if we get the same thing?", "session_id": 16689, "sequence_id": 224, "annotations": []}
{"role": "student", "content": "Let me write my answer for the first one", "session_id": 16689, "sequence_id": 225, "annotations": []}
{"role": "volunteer", "content": "Hmm for 1st one I got < instead of >", "session_id": 16689, "sequence_id": 226, "annotations": []}
{"role": "student", "content": "you flip it", "session_id": 16689, "sequence_id": 227, "annotations": []}
{"role": "student", "content": "when youre dividing by a ng", "session_id": 16689, "sequence_id": 228, "annotations": []}
{"role": "volunteer", "content": "1st I dont see where I divided by ng....divided by 2...right?", "session_id": 16689, "sequence_id": 229, "annotations": [{"pii_type": "URL", "surrogate": "I do", "start": 4, "end": 8}]}
{"role": "student", "content": "oh i see", "session_id": 16689, "sequence_id": 230, "annotations": []}
{"role": "volunteer", "content": "how about the 2nd one...did I make a arithmetic mistake or you?", "session_id": 16689, "sequence_id": 231, "annotations": []}
{"role": "student", "content": "it was m", "session_id": 16689, "sequence_id": 232, "annotations": []}
{"role": "student", "content": "this one is a little hard since its a frac", "session_id": 16689, "sequence_id": 233, "annotations": []}
{"role": "volunteer", "content": "It's usually me that is bad with arithmetic ;)", "session_id": 16689, "sequence_id": 234, "annotations": [{"pii_type": "URL", "surrogate": "It", "start": 0, "end": 2}]}
{"role": "student", "content": "i need help with this", "session_id": 16689, "sequence_id": 235, "annotations": []}
{"role": "volunteer", "content": "ok, do you know how to start?", "session_id": 16689, "sequence_id": 236, "annotations": []}
{"role": "volunteer", "content": "Hint: it's pretty easy...but you need to make two problems out of it. Should I show you?", "session_id": 16689, "sequence_id": 237, "annotations": [{"pii_type": "URL", "surrogate": "it. Sh", "start": 66, "end": 72}]}
{"role": "student", "content": "yes show me please", "session_id": 16689, "sequence_id": 238, "annotations": []}
{"role": "volunteer", "content": "see how I made 2 pblms and put an \"AND\" in the middle?", "session_id": 16689, "sequence_id": 239, "annotations": []}
{"role": "student", "content": "mhm", "session_id": 16689, "sequence_id": 240, "annotations": []}
{"role": "volunteer", "content": "now let's solve each eqn", "session_id": 16689, "sequence_id": 241, "annotations": []}
{"role": "student", "content": "ohh i see", "session_id": 16689, "sequence_id": 242, "annotations": []}
{"role": "student", "content": "wait", "session_id": 16689, "sequence_id": 243, "annotations": []}
{"role": "student", "content": "where does the 2 com from", "session_id": 16689, "sequence_id": 244, "annotations": []}
{"role": "student", "content": "what happened to the 1", "session_id": 16689, "sequence_id": 245, "annotations": []}
{"role": "volunteer", "content": "muliplied both sided by 2", "session_id": 16689, "sequence_id": 246, "annotations": []}
{"role": "student", "content": "can you show that part please", "session_id": 16689, "sequence_id": 247, "annotations": []}
{"role": "student", "content": "oh o", "session_id": 16689, "sequence_id": 248, "annotations": []}
{"role": "volunteer", "content": "see what I mean?", "session_id": 16689, "sequence_id": 249, "annotations": []}
{"role": "volunteer", "content": "let's do the same with the 2nd eqn", "session_id": 16689, "sequence_id": 250, "annotations": []}
{"role": "volunteer", "content": "do you get that one?", "session_id": 16689, "sequence_id": 251, "annotations": []}
{"role": "student", "content": "mhm", "session_id": 16689, "sequence_id": 252, "annotations": []}
{"role": "volunteer", "content": "don't get it?", "session_id": 16689, "sequence_id": 253, "annotations": []}
{"role": "student", "content": "i do", "session_id": 16689, "sequence_id": 254, "annotations": []}
{"role": "volunteer", "content": "ok, want to finish the 2nd one?", "session_id": 16689, "sequence_id": 255, "annotations": []}
{"role": "student", "content": "x<2", "session_id": 16689, "sequence_id": 256, "annotations": []}
{"role": "volunteer", "content": "yup", "session_id": 16689, "sequence_id": 257, "annotations": []}
{"role": "volunteer", "content": "so we got 6/5 <= x AND x <2", "session_id": 16689, "sequence_id": 258, "annotations": []}
{"role": "volunteer", "content": "so we write it like I showed. Do you get that?", "session_id": 16689, "sequence_id": 259, "annotations": [{"pii_type": "URL", "surrogate": "showed. Do", "start": 22, "end": 32}]}
{"role": "student", "content": "i have one more", "session_id": 16689, "sequence_id": 260, "annotations": []}
{"role": "volunteer", "content": "ok, let's do the last one :)", "session_id": 16689, "sequence_id": 261, "annotations": []}
{"role": "student", "content": "multiply by 2", "session_id": 16689, "sequence_id": 262, "annotations": []}
{"role": "student", "content": "i mean no 3", "session_id": 16689, "sequence_id": 263, "annotations": []}
{"role": "volunteer", "content": "ok, very similar to the last one. Let's start by 3x", "session_id": 16689, "sequence_id": 264, "annotations": [{"pii_type": "URL", "surrogate": "one. Let'", "start": 29, "end": 38}]}
{"role": "volunteer", "content": "I mean multiply by 3", "session_id": 16689, "sequence_id": 265, "annotations": []}
{"role": "volunteer", "content": "do you want to work it?", "session_id": 16689, "sequence_id": 266, "annotations": []}
{"role": "student", "content": "multiply the 5 by 3 too?", "session_id": 16689, "sequence_id": 267, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 16689, "sequence_id": 268, "annotations": []}
{"role": "volunteer", "content": "show me what you get after the mult.", "session_id": 16689, "sequence_id": 269, "annotations": []}
{"role": "student", "content": "kk", "session_id": 16689, "sequence_id": 270, "annotations": []}
{"role": "volunteer", "content": "You skipped some steps, huh?", "session_id": 16689, "sequence_id": 271, "annotations": [{"pii_type": "URL", "surrogate": "You", "start": 0, "end": 3}, {"pii_type": "URL", "surrogate": "steps, hu", "start": 17, "end": 26}]}
{"role": "student", "content": "i did -6+1", "session_id": 16689, "sequence_id": 272, "annotations": []}
{"role": "student", "content": "i added 1 to both sides", "session_id": 16689, "sequence_id": 273, "annotations": []}
{"role": "student", "content": "tjem dovoded by 4", "session_id": 16689, "sequence_id": 274, "annotations": []}
{"role": "student", "content": "-5/4 can't be divided", "session_id": 16689, "sequence_id": 275, "annotations": []}
{"role": "student", "content": "15+1=16", "session_id": 16689, "sequence_id": 276, "annotations": []}
{"role": "student", "content": "16/4=4", "session_id": 16689, "sequence_id": 277, "annotations": []}
{"role": "volunteer", "content": "ok, hold on. Do you see how I got my magenta equation?", "session_id": 16689, "sequence_id": 278, "annotations": [{"pii_type": "URL", "surrogate": "on. Do", "start": 9, "end": 15}]}
{"role": "student", "content": "mhm", "session_id": 16689, "sequence_id": 279, "annotations": []}
{"role": "student", "content": "thats what i had", "session_id": 16689, "sequence_id": 280, "annotations": []}
{"role": "volunteer", "content": "ok, and you may be right...I just want to do it step by step to be sure", "session_id": 16689, "sequence_id": 281, "annotations": []}
{"role": "student", "content": "kk", "session_id": 16689, "sequence_id": 282, "annotations": []}
{"role": "volunteer", "content": "so I like your first number (-5/4) but why did you reverse the inequality?", "session_id": 16689, "sequence_id": 283, "annotations": []}
{"role": "student", "content": "nvm ik what i did wrong", "session_id": 16689, "sequence_id": 284, "annotations": []}
{"role": "student", "content": "next one is 4", "session_id": 16689, "sequence_id": 285, "annotations": []}
{"role": "volunteer", "content": "I see. Very nice", "session_id": 16689, "sequence_id": 286, "annotations": [{"pii_type": "URL", "surrogate": "see. Ve", "start": 2, "end": 9}]}
{"role": "volunteer", "content": "ok, was that the last problem?", "session_id": 16689, "sequence_id": 287, "annotations": []}
{"role": "student", "content": "do you still have time on your hands?", "session_id": 16689, "sequence_id": 288, "annotations": []}
{"role": "student", "content": "Its not a problem its just more so practice", "session_id": 16689, "sequence_id": 289, "annotations": []}
{"role": "volunteer", "content": "let's see the first one?", "session_id": 16689, "sequence_id": 290, "annotations": []}
{"role": "student", "content": "kk give me one sec its a pdf actually", "session_id": 16689, "sequence_id": 291, "annotations": []}
{"role": "student", "content": "so basically i got my test back and my teacher said the ones that have \"R\" means it can be revised for a better grade so i wanna know what my mistake is so i can do some new problems that are kinda the same for when i retake it again", "session_id": 16689, "sequence_id": 292, "annotations": []}
{"role": "student", "content": "https://example.com/document", "session_id": 16689, "sequence_id": 293, "annotations": [{"pii_type": "URL", "surrogate": "https://example.com/document", "start": 0, "end": 28}]}
{"role": "student", "content": "here it is", "session_id": 16689, "sequence_id": 294, "annotations": []}
{"role": "volunteer", "content": "ok, I can see it. Are you asking about the 1st one?", "session_id": 16689, "sequence_id": 295, "annotations": [{"pii_type": "URL", "surrogate": "it. Ar", "start": 14, "end": 20}]}
{"role": "student", "content": "yep i wanna start from top to bottom", "session_id": 16689, "sequence_id": 296, "annotations": []}
{"role": "volunteer", "content": "I copied onto the board, that is the eqn we start with ...right?", "session_id": 16689, "sequence_id": 297, "annotations": []}
{"role": "student", "content": "Ok", "session_id": 16689, "sequence_id": 298, "annotations": []}
{"role": "student", "content": "yes", "session_id": 16689, "sequence_id": 299, "annotations": []}
{"role": "student", "content": "is it that?", "session_id": 16689, "sequence_id": 300, "annotations": []}
{"role": "volunteer", "content": "not quite. You are doing too much in your head and not enough on paper", "session_id": 16689, "sequence_id": 301, "annotations": [{"pii_type": "URL", "surrogate": "quite. You", "start": 4, "end": 14}]}
{"role": "volunteer", "content": "see what I did?", "session_id": 16689, "sequence_id": 302, "annotations": []}
{"role": "volunteer", "content": "I just took it step by step (multiplied both sides by 2 ) then subtracted H from both sides", "session_id": 16689, "sequence_id": 303, "annotations": []}
{"role": "student", "content": "kk", "session_id": 16689, "sequence_id": 304, "annotations": []}
{"role": "student", "content": "ohh i see", "session_id": 16689, "sequence_id": 305, "annotations": []}
{"role": "volunteer", "content": "do I have the next one copied correctly (it's a little fuzzy on my screen)?", "session_id": 16689, "sequence_id": 306, "annotations": []}
{"role": "student", "content": "mhm", "session_id": 16689, "sequence_id": 307, "annotations": []}
{"role": "volunteer", "content": "Solve for y", "session_id": 16689, "sequence_id": 308, "annotations": []}
{"role": "volunteer", "content": "did I copy it right?", "session_id": 16689, "sequence_id": 309, "annotations": []}
{"role": "student", "content": "yes", "session_id": 16689, "sequence_id": 310, "annotations": []}
{"role": "volunteer", "content": "ok, let's take the step by step approach", "session_id": 16689, "sequence_id": 311, "annotations": []}
{"role": "student", "content": "oh i see what i missed", "session_id": 16689, "sequence_id": 312, "annotations": []}
{"role": "student", "content": "but i did +5y", "session_id": 16689, "sequence_id": 313, "annotations": []}
{"role": "volunteer", "content": "yeah, it's not hard...just easy to make mistakes", "session_id": 16689, "sequence_id": 314, "annotations": []}
{"role": "student", "content": "and she only circled th 15 part", "session_id": 16689, "sequence_id": 315, "annotations": []}
{"role": "volunteer", "content": "yeah, you didn't divide the 15x by 5 like you need to. Do you want to work it on the board to make sure you have it right?", "session_id": 16689, "sequence_id": 316, "annotations": [{"pii_type": "URL", "surrogate": "to. Do", "start": 51, "end": 57}]}
{"role": "student", "content": "ok i see", "session_id": 16689, "sequence_id": 317, "annotations": []}
{"role": "student", "content": "i get it now", "session_id": 16689, "sequence_id": 318, "annotations": []}
{"role": "student", "content": "alright next one", "session_id": 16689, "sequence_id": 319, "annotations": []}
{"role": "student", "content": "its 3+2(3x-4)=3x-(x-5_", "session_id": 16689, "sequence_id": 320, "annotations": []}
{"role": "student", "content": "*)", "session_id": 16689, "sequence_id": 321, "annotations": []}
{"role": "student", "content": "yep", "session_id": 16689, "sequence_id": 322, "annotations": []}
{"role": "student", "content": "so the - infront of the ( is that technically a -1 or ?", "session_id": 16689, "sequence_id": 323, "annotations": []}
{"role": "student", "content": "ill circle it", "session_id": 16689, "sequence_id": 324, "annotations": []}
{"role": "volunteer", "content": "yes, same as -1*(x-5)", "session_id": 16689, "sequence_id": 325, "annotations": []}
{"role": "student", "content": "kk i figured", "session_id": 16689, "sequence_id": 326, "annotations": []}
{"role": "volunteer", "content": "tell me if I make a mistake", "session_id": 16689, "sequence_id": 327, "annotations": []}
{"role": "student", "content": "Okay", "session_id": 16689, "sequence_id": 328, "annotations": []}
{"role": "student", "content": "no", "session_id": 16689, "sequence_id": 329, "annotations": []}
{"role": "student", "content": "its 3", "session_id": 16689, "sequence_id": 330, "annotations": []}
{"role": "student", "content": "not 3x", "session_id": 16689, "sequence_id": 331, "annotations": []}
{"role": "volunteer", "content": "aha..let's start again", "session_id": 16689, "sequence_id": 332, "annotations": []}
{"role": "student", "content": "Right", "session_id": 16689, "sequence_id": 333, "annotations": []}
{"role": "student", "content": "bc i still got 10/4", "session_id": 16689, "sequence_id": 334, "annotations": []}
{"role": "student", "content": "oh simplifyy", "session_id": 16689, "sequence_id": 335, "annotations": []}
{"role": "volunteer", "content": "like that?", "session_id": 16689, "sequence_id": 336, "annotations": []}
{"role": "student", "content": "mhm i solved it its 5/2", "session_id": 16689, "sequence_id": 337, "annotations": []}
{"role": "student", "content": "lets work on the last one", "session_id": 16689, "sequence_id": 338, "annotations": []}
{"role": "student", "content": "i solved that one already", "session_id": 16689, "sequence_id": 339, "annotations": []}
{"role": "student", "content": "well you can solve it too", "session_id": 16689, "sequence_id": 340, "annotations": []}
{"role": "student", "content": "and lmk your answer to ensure im correct", "session_id": 16689, "sequence_id": 341, "annotations": []}
{"role": "student", "content": "wait what", "session_id": 16689, "sequence_id": 342, "annotations": []}
{"role": "volunteer", "content": "I got x=4", "session_id": 16689, "sequence_id": 343, "annotations": []}
{"role": "student", "content": "i got a totally diff answer", "session_id": 16689, "sequence_id": 344, "annotations": []}
{"role": "student", "content": "3-8 is -5", "session_id": 16689, "sequence_id": 345, "annotations": []}
{"role": "student", "content": "you do left to right", "session_id": 16689, "sequence_id": 346, "annotations": []}
{"role": "volunteer", "content": "Understood", "session_id": 16689, "sequence_id": 347, "annotations": []}
{"role": "student", "content": "so its 10/4", "session_id": 16689, "sequence_id": 348, "annotations": []}
{"role": "student", "content": "then divide both by 2 its 5/2", "session_id": 16689, "sequence_id": 349, "annotations": []}
{"role": "volunteer", "content": "yes, 5/2", "session_id": 16689, "sequence_id": 350, "annotations": []}
{"role": "student", "content": "ok next one", "session_id": 16689, "sequence_id": 351, "annotations": []}
{"role": "volunteer", "content": "correct starting eqn...right?", "session_id": 16689, "sequence_id": 352, "annotations": []}
{"role": "student", "content": "yes", "session_id": 16689, "sequence_id": 353, "annotations": []}
{"role": "volunteer", "content": "see how I got that? I mutliplied both sides by 10 to get rid of all the fractions ( I don't like fractions)", "session_id": 16689, "sequence_id": 354, "annotations": []}
{"role": "student", "content": "yep i got that answer", "session_id": 16689, "sequence_id": 355, "annotations": []}
{"role": "student", "content": "i did 20 times all of it like i multiplied 10 and 2", "session_id": 16689, "sequence_id": 356, "annotations": []}
{"role": "volunteer", "content": "that works too", "session_id": 16689, "sequence_id": 357, "annotations": []}
{"role": "volunteer", "content": "all done for today?", "session_id": 16689, "sequence_id": 358, "annotations": []}
{"role": "student", "content": "and the answer is 25/18", "session_id": 16689, "sequence_id": 359, "annotations": []}
{"role": "volunteer", "content": "yes 25/18", "session_id": 16689, "sequence_id": 360, "annotations": []}
{"role": "student", "content": "yep thats it im gonna work on stats homework", "session_id": 16689, "sequence_id": 361, "annotations": []}
{"role": "volunteer", "content": "stats if my favorite. Maybe we can work on that another day....enjoy the rest of yours", "session_id": 16689, "sequence_id": 362, "annotations": [{"pii_type": "URL", "surrogate": "favorite. Ma", "start": 12, "end": 24}]}
{"role": "student", "content": "thanks, you too!", "session_id": 16689, "sequence_id": 363, "annotations": []}
{"role": "student", "content": "solving a few homework questions", "session_id": 16728, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "Hi there how can I help!", "session_id": 16728, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "Hi, I need help w a few questions, I\u2019m gonna write them on the board just give me a minute", "session_id": 16728, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "no problem!", "session_id": 16728, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "Okay I wrote them", "session_id": 16728, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "okay perfect do you want to give it a try?", "session_id": 16728, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "hello?", "session_id": 16728, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "Are you still there?", "session_id": 16728, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 16728, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "hello", "session_id": 16728, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "are you there?", "session_id": 16728, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "I\u2019m gonna end this session, thanks though!", "session_id": 16728, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "Hello!! How are you?", "session_id": 16881, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "Hi Lucas! I'm great, what can I help you with today?", "session_id": 16881, "sequence_id": 1, "annotations": [{"pii_type": "PERSON", "surrogate": "Lucas", "start": 3, "end": 8}]}
{"role": "student", "content": "I am in 8th grade math and I need help with adding & subtracting rational numbers :)", "session_id": 16881, "sequence_id": 2, "annotations": [{"pii_type": "GRADE_LEVEL", "surrogate": "8th grade", "start": 8, "end": 17}]}
{"role": "volunteer", "content": "Sure, I can help you with that!", "session_id": 16881, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "Would you be able to post your questions on the whiteboard?", "session_id": 16881, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "Sure! Should I write like 2 or the whole thing?", "session_id": 16881, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "How many questions are there?", "session_id": 16881, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "16 :(", "session_id": 16881, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "Maybe you can write down 8 first and we can go through them together one by one!", "session_id": 16881, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "Okay! Just so you know 4 of them are word problems and I really like solving word problems", "session_id": 16881, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "Ok I wrote the first one down can you see it?", "session_id": 16881, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "Yes I can, actually how about we do them one by one instead?", "session_id": 16881, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "Would you like to try the problem out on your own first?", "session_id": 16881, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "Okay :)", "session_id": 16881, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "would it be one whole?", "session_id": 16881, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "since 11+12=23 and 23 is the denominator", "session_id": 16881, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "You're close! Don't forget the negative sign!", "session_id": 16881, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "So it would be -23/23 which is equal to -1", "session_id": 16881, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "Does that make sense?", "session_id": 16881, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "OHhhh okayyy I see", "session_id": 16881, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "I was gonna type that but I thought I was wrong", "session_id": 16881, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "No worries! You were on the right track!", "session_id": 16881, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "Shall we move on to question 2 or did you need more clarification for question 1?", "session_id": 16881, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "I got it :) This one was surprisingly easy it looks so hard", "session_id": 16881, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "Is it -18 over 22?", "session_id": 16881, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "or is it -8", "session_id": 16881, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "can you see the number line that I added on the whiteboard?", "session_id": 16881, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 16881, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "so if its -13 plus 5, would the filled in circle go to the left or right?", "session_id": 16881, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "I think right because its a positive number?", "session_id": 16881, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "That's right! so do you think that the value is -18 or -8?", "session_id": 16881, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "OHhhh -8", "session_id": 16881, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "yes! That's right, you got it!", "session_id": 16881, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "Yayyyy so -8 over 22?", "session_id": 16881, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "I'm not sure if you need to simplify your final answer but yes -8/22 is correct", "session_id": 16881, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "If you were to simplify your answer would you know what to do?", "session_id": 16881, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "Yay :) I don't think I need to simplify it any because this is it's simplest form, no?", "session_id": 16881, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "since 8 and 22 can both be divided by two, you could simplify the fraction even further (-4/11)", "session_id": 16881, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "ooh okay", "session_id": 16881, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "but if you don't need to simplify any more then -8 over 22 is correct!", "session_id": 16881, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "on the worksheet it says \"Add. Write fractions in simplest form.\"", "session_id": 16881, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "Ohh yeah, so when it says write the fraction in simplest form, this means that the top and bottom numbers have to be as small as possible, so in this case the simplest form would be -4 over 11", "session_id": 16881, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "Okay I totally get this oneee I don't really know how to simplify like I get the concept but I just don't know how to find what they divide by. Also i'm ready to go to the next one :D", "session_id": 16881, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "since 8 and 22 are both divisible by 2, you are able to simplify the numbers to 4 and 11 (8 divided by 2 is 4, and 22 divided by 2 is 11)", "session_id": 16881, "sequence_id": 43, "annotations": []}
{"role": "student", "content": "ooh okay", "session_id": 16881, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "if your answer was 7 over 22, you would not be able to divide it by 2 because they are both not divisible by the same number", "session_id": 16881, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "Oh okay I see", "session_id": 16881, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "So like 7 over 22 would it be divisible by like 7 or 1?", "session_id": 16881, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "so 22 divided by 7 would not be a full number so it would be better to leave it as 7 over 22", "session_id": 16881, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "ohh okay would it be a decimal?", "session_id": 16881, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "but if it was 7 over 21 for example, you would be able to divide them both by 7 so the answer would be 1 over 3", "session_id": 16881, "sequence_id": 50, "annotations": []}
{"role": "student", "content": "Oooooooh ok", "session_id": 16881, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "so for your problems, we want to leave it as a whole number so you would not need to simplify 7 over 22, as that is the smallest numbers you can get without needing to turn it into decimals", "session_id": 16881, "sequence_id": 52, "annotations": []}
{"role": "student", "content": "Okay :)", "session_id": 16881, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "Do you want to put your next problem on the whiteboard?", "session_id": 16881, "sequence_id": 54, "annotations": []}
{"role": "student", "content": "Yes I'm going to clear the top but not the number line", "session_id": 16881, "sequence_id": 55, "annotations": []}
{"role": "student", "content": "The number line is really helpful", "session_id": 16881, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "That's good to hear! We can use the number line again if you need some help for the next problem", "session_id": 16881, "sequence_id": 57, "annotations": []}
{"role": "student", "content": "That would be really nice :)", "session_id": 16881, "sequence_id": 58, "annotations": []}
{"role": "student", "content": "Ok donee", "session_id": 16881, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "So if its 22 plus -32 what do you think the answer is?", "session_id": 16881, "sequence_id": 60, "annotations": []}
{"role": "student", "content": "Im just estimating but Is it -10?", "session_id": 16881, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "yes that's right!", "session_id": 16881, "sequence_id": 62, "annotations": []}
{"role": "student", "content": "YAYY", "session_id": 16881, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "so if the answer is -10 over 15", "session_id": 16881, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "do you think that we can simplify it even more?", "session_id": 16881, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "is can you divide 10 and 15 by?", "session_id": 16881, "sequence_id": 66, "annotations": []}
{"role": "student", "content": "Hmm 5?", "session_id": 16881, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "Yes! so what is 10 divided by 5", "session_id": 16881, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "and what is 15 divided by 5?", "session_id": 16881, "sequence_id": 69, "annotations": []}
{"role": "student", "content": "5? and 3?", "session_id": 16881, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "So 10 divided by 5 is actually 2! but you got the second half of the question correct because 15 divided by 5 is 3", "session_id": 16881, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "so what would your answer be? and don't forget the negative sign!", "session_id": 16881, "sequence_id": 72, "annotations": []}
{"role": "student", "content": "Uhh 2 over 3? I kinda lost track >_<", "session_id": 16881, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "You're close! so at first you said that the answer was -10 over 15, but then we simplified it to 2 over 3", "session_id": 16881, "sequence_id": 74, "annotations": []}
{"role": "volunteer", "content": "so where would that negative sign be?", "session_id": 16881, "sequence_id": 75, "annotations": []}
{"role": "student", "content": "OH wait -2 over 3", "session_id": 16881, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "on 2 or 3?", "session_id": 16881, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "yes!!", "session_id": 16881, "sequence_id": 78, "annotations": []}
{"role": "student", "content": "Oops I forgot the negative sign", "session_id": 16881, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "so -2 over 3 is the correct answer in simplest form :)", "session_id": 16881, "sequence_id": 80, "annotations": []}
{"role": "student", "content": "wow for once I actually am starting to understand this", "session_id": 16881, "sequence_id": 81, "annotations": []}
{"role": "volunteer", "content": "That's so good to hear, I am so glad that you are understanding this topic better", "session_id": 16881, "sequence_id": 82, "annotations": []}
{"role": "student", "content": "You are a really great help I appreciate you so much!! And for me it's almost 10 pm so i'm glad you're taking the time :)", "session_id": 16881, "sequence_id": 83, "annotations": []}
{"role": "volunteer", "content": "No problem at all! I'm here to help", "session_id": 16881, "sequence_id": 84, "annotations": []}
{"role": "student", "content": "Ok how do I do this with the different denominators? I keep forgetting how It works", "session_id": 16881, "sequence_id": 85, "annotations": []}
{"role": "volunteer", "content": "So first we have to find a common denominator. In this case, 7 multiplied by ? = 35", "session_id": 16881, "sequence_id": 86, "annotations": []}
{"role": "student", "content": "5", "session_id": 16881, "sequence_id": 87, "annotations": []}
{"role": "volunteer", "content": "I wrote some notes on the whiteboard", "session_id": 16881, "sequence_id": 88, "annotations": []}
{"role": "volunteer", "content": "Yes! 55 is correct", "session_id": 16881, "sequence_id": 89, "annotations": []}
{"role": "student", "content": "Chloe", "session_id": 16881, "sequence_id": 90, "annotations": [{"pii_type": "PERSON", "surrogate": "Chloe", "start": 0, "end": 5}]}
{"role": "volunteer", "content": "so now the new problem would be -6/35 + 55/35 = ?", "session_id": 16881, "sequence_id": 91, "annotations": []}
{"role": "student", "content": "Ok lemme try to solve that", "session_id": 16881, "sequence_id": 92, "annotations": []}
{"role": "volunteer", "content": "Ok great", "session_id": 16881, "sequence_id": 93, "annotations": []}
{"role": "student", "content": "48 over 35?", "session_id": 16881, "sequence_id": 94, "annotations": []}
{"role": "volunteer", "content": "close! so its -6 plus 55", "session_id": 16881, "sequence_id": 95, "annotations": []}
{"role": "student", "content": "wait I miscalculated 49 over 35 or is it negative?", "session_id": 16881, "sequence_id": 96, "annotations": []}
{"role": "volunteer", "content": "yes 49 is correct", "session_id": 16881, "sequence_id": 97, "annotations": []}
{"role": "volunteer", "content": "so 49 over 35", "session_id": 16881, "sequence_id": 98, "annotations": []}
{"role": "volunteer", "content": "We can simplify this further", "session_id": 16881, "sequence_id": 99, "annotations": []}
{"role": "student", "content": "Oooh ok", "session_id": 16881, "sequence_id": 100, "annotations": []}
{"role": "volunteer", "content": "49 and 35 can be divided by the same number", "session_id": 16881, "sequence_id": 101, "annotations": []}
{"role": "volunteer", "content": "what number is it?", "session_id": 16881, "sequence_id": 102, "annotations": []}
{"role": "student", "content": "OOh is it 7??", "session_id": 16881, "sequence_id": 103, "annotations": []}
{"role": "volunteer", "content": "yes so 49 divided by 7 over 35 divided by 7", "session_id": 16881, "sequence_id": 104, "annotations": []}
{"role": "student", "content": "7 over 5?", "session_id": 16881, "sequence_id": 105, "annotations": []}
{"role": "volunteer", "content": "yes!", "session_id": 16881, "sequence_id": 106, "annotations": []}
{"role": "student", "content": "Salem", "session_id": 16881, "sequence_id": 107, "annotations": [{"pii_type": "LOCATION", "surrogate": "Salem", "start": 0, "end": 5}]}
{"role": "volunteer", "content": "Ready to move on to the next question?", "session_id": 16881, "sequence_id": 108, "annotations": []}
{"role": "student", "content": "Yes :)", "session_id": 16881, "sequence_id": 109, "annotations": []}
{"role": "student", "content": "Sorry the whiteboard's so messy", "session_id": 16881, "sequence_id": 110, "annotations": []}
{"role": "volunteer", "content": "it's ok! is the problem 29/24 + (-11/6) ?", "session_id": 16881, "sequence_id": 111, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 16881, "sequence_id": 112, "annotations": []}
{"role": "volunteer", "content": "So let's find the common denominator first", "session_id": 16881, "sequence_id": 113, "annotations": []}
{"role": "volunteer", "content": "6 multiplied by ? = 24", "session_id": 16881, "sequence_id": 114, "annotations": []}
{"role": "student", "content": "4?", "session_id": 16881, "sequence_id": 115, "annotations": []}
{"role": "volunteer", "content": "Yes, so what would the top number be?", "session_id": 16881, "sequence_id": 116, "annotations": []}
{"role": "student", "content": "uhh", "session_id": 16881, "sequence_id": 117, "annotations": []}
{"role": "student", "content": "I'm stumped :(", "session_id": 16881, "sequence_id": 118, "annotations": []}
{"role": "volunteer", "content": "I wrote it on the whiteboard if that helps", "session_id": 16881, "sequence_id": 119, "annotations": []}
{"role": "student", "content": "Oh I didn't see that", "session_id": 16881, "sequence_id": 120, "annotations": []}
{"role": "volunteer", "content": "its above the number line", "session_id": 16881, "sequence_id": 121, "annotations": []}
{"role": "student", "content": "I think that's correct?", "session_id": 16881, "sequence_id": 122, "annotations": []}
{"role": "volunteer", "content": "44 is correct", "session_id": 16881, "sequence_id": 123, "annotations": []}
{"role": "volunteer", "content": "so how would you rewrite the problem?", "session_id": 16881, "sequence_id": 124, "annotations": []}
{"role": "student", "content": "Yayy", "session_id": 16881, "sequence_id": 125, "annotations": []}
{"role": "student", "content": "hmm", "session_id": 16881, "sequence_id": 126, "annotations": []}
{"role": "volunteer", "content": "so 11/-6 is the same as 44/-24", "session_id": 16881, "sequence_id": 127, "annotations": []}
{"role": "volunteer", "content": "so how would you rewrite it so that the problem has the same denominator?", "session_id": 16881, "sequence_id": 128, "annotations": []}
{"role": "student", "content": "OHH wait we can try to divide them by 2 or 4", "session_id": 16881, "sequence_id": 129, "annotations": []}
{"role": "student", "content": "Or multiply", "session_id": 16881, "sequence_id": 130, "annotations": []}
{"role": "volunteer", "content": "You're right we can divide it, but that part usually comes last when you simplify your answer", "session_id": 16881, "sequence_id": 131, "annotations": []}
{"role": "student", "content": "Ohh ok", "session_id": 16881, "sequence_id": 132, "annotations": []}
{"role": "volunteer", "content": "so under the number line I actually rewrote the answer", "session_id": 16881, "sequence_id": 133, "annotations": []}
{"role": "volunteer", "content": "so it has the same denominator", "session_id": 16881, "sequence_id": 134, "annotations": []}
{"role": "volunteer", "content": "would you like a few minutes to try it out?", "session_id": 16881, "sequence_id": 135, "annotations": []}
{"role": "student", "content": "sure!", "session_id": 16881, "sequence_id": 136, "annotations": []}
{"role": "student", "content": "I know the numerator is like positive or negative 18 I think", "session_id": 16881, "sequence_id": 137, "annotations": []}
{"role": "volunteer", "content": "Let's try to figure out if is positive or negative first", "session_id": 16881, "sequence_id": 138, "annotations": []}
{"role": "volunteer", "content": "so if 29/24 is positive", "session_id": 16881, "sequence_id": 139, "annotations": []}
{"role": "volunteer", "content": "and 44/-24 is negative", "session_id": 16881, "sequence_id": 140, "annotations": []}
{"role": "volunteer", "content": "what would be the ?", "session_id": 16881, "sequence_id": 141, "annotations": []}
{"role": "student", "content": "I think negative", "session_id": 16881, "sequence_id": 142, "annotations": []}
{"role": "volunteer", "content": "yes that's right", "session_id": 16881, "sequence_id": 143, "annotations": []}
{"role": "student", "content": "Yayyyy", "session_id": 16881, "sequence_id": 144, "annotations": []}
{"role": "volunteer", "content": "so then it would be 29 plus -44", "session_id": 16881, "sequence_id": 145, "annotations": []}
{"role": "volunteer", "content": "so what would that value be?", "session_id": 16881, "sequence_id": 146, "annotations": []}
{"role": "student", "content": "-15?", "session_id": 16881, "sequence_id": 147, "annotations": []}
{"role": "volunteer", "content": "yes! so its -15 over 24", "session_id": 16881, "sequence_id": 148, "annotations": []}
{"role": "student", "content": "yayyyyy", "session_id": 16881, "sequence_id": 149, "annotations": []}
{"role": "volunteer", "content": "do you think that you can simplify the numbers ?", "session_id": 16881, "sequence_id": 150, "annotations": []}
{"role": "volunteer", "content": "what can you divide 15 and 24 by?", "session_id": 16881, "sequence_id": 151, "annotations": []}
{"role": "student", "content": "3?", "session_id": 16881, "sequence_id": 152, "annotations": []}
{"role": "volunteer", "content": "yep! so the top and bottom numbers be", "session_id": 16881, "sequence_id": 153, "annotations": []}
{"role": "volunteer", "content": "and don't forget the negative sign!", "session_id": 16881, "sequence_id": 154, "annotations": []}
{"role": "student", "content": "is this right?", "session_id": 16881, "sequence_id": 155, "annotations": []}
{"role": "volunteer", "content": "You got it!", "session_id": 16881, "sequence_id": 156, "annotations": []}
{"role": "student", "content": "Woohooooo", "session_id": 16881, "sequence_id": 157, "annotations": []}
{"role": "volunteer", "content": "Is it starting to get a little easier?", "session_id": 16881, "sequence_id": 158, "annotations": []}
{"role": "student", "content": "yess", "session_id": 16881, "sequence_id": 159, "annotations": []}
{"role": "volunteer", "content": "Great!", "session_id": 16881, "sequence_id": 160, "annotations": []}
{"role": "volunteer", "content": "I helped you clear the whiteboard", "session_id": 16881, "sequence_id": 161, "annotations": []}
{"role": "volunteer", "content": "so that it will be easier to see the next problem", "session_id": 16881, "sequence_id": 162, "annotations": []}
{"role": "student", "content": "I think I might do the worksheet alone after this problem,  I'm basically halfway done and the techniques you've taught me are really helpful so I can use them while on my next problem :)", "session_id": 16881, "sequence_id": 163, "annotations": []}
{"role": "volunteer", "content": "Okay no problem! I will be happy to stay online while you finish the rest of the worksheet in case you have any questions", "session_id": 16881, "sequence_id": 164, "annotations": []}
{"role": "student", "content": "Okay :)", "session_id": 16881, "sequence_id": 165, "annotations": []}
{"role": "volunteer", "content": "Once you are finished with your worksheet and have no other questions just let me know, so that I know when to end the session :)", "session_id": 16881, "sequence_id": 166, "annotations": []}
{"role": "volunteer", "content": "I have to end the session now, but I hope that it was helpful :)", "session_id": 16881, "sequence_id": 167, "annotations": []}
{"role": "student", "content": "hi! how are you today?", "session_id": 17176, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "hi how can i help you today", "session_id": 17176, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "I was wondering if you could help me with my algebra assignment?", "session_id": 17176, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "sure", "session_id": 17176, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "give me a min to figure this out", "session_id": 17176, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "okay so", "session_id": 17176, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "Did you get that much", "session_id": 17176, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "I'm confused", "session_id": 17176, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "how'd u get g(x)^2", "session_id": 17176, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "Okay so let's consider fix as a and go as b", "session_id": 17176, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "Ok?", "session_id": 17176, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "ok", "session_id": 17176, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "So what the question wants is", "session_id": 17176, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "Sub b in the place where x is", "session_id": 17176, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "Did you get that", "session_id": 17176, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "yes", "session_id": 17176, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "That's your first answer", "session_id": 17176, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "do you want to try the next one", "session_id": 17176, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "ok", "session_id": 17176, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "Chloe know what your city is", "session_id": 17176, "sequence_id": 19, "annotations": [{"pii_type": "PERSON", "surrogate": "Chloe", "start": 0, "end": 5}, {"pii_type": "LOCATION", "surrogate": "city", "start": 21, "end": 25}]}
{"role": "volunteer", "content": "Answer is", "session_id": 17176, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "ok", "session_id": 17176, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "I got x", "session_id": 17176, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "that is the right answer", "session_id": 17176, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "yuayyyyyyy", "session_id": 17176, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "good job", "session_id": 17176, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "anything else you need help with", "session_id": 17176, "sequence_id": 26, "annotations": []}
{"role": "student", "content": ":)", "session_id": 17176, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "yes pls", "session_id": 17176, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "what is it", "session_id": 17176, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "graph", "session_id": 17176, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "whats the question", "session_id": 17176, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "that's it", "session_id": 17176, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "???????", "session_id": 17176, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "okay i just found it", "session_id": 17176, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "give me a min", "session_id": 17176, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "ok", "session_id": 17176, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "okay so", "session_id": 17176, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "Did you get that", "session_id": 17176, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "yes", "session_id": 17176, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "Did you get it", "session_id": 17176, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "yes", "session_id": 17176, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "okay now you can solve the other 3 and lmk the answer", "session_id": 17176, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "ok", "session_id": 17176, "sequence_id": 43, "annotations": []}
{"role": "student", "content": "for 5 I got f(g(5))=1", "session_id": 17176, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "thats not right try gain", "session_id": 17176, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "you can do this", "session_id": 17176, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "whatd you get", "session_id": 17176, "sequence_id": 47, "annotations": []}
{"role": "student", "content": "7", "session_id": 17176, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "no :\"(", "session_id": 17176, "sequence_id": 49, "annotations": []}
{"role": "student", "content": "darn", "session_id": 17176, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "ill help you out with this one too", "session_id": 17176, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "ok", "session_id": 17176, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "Got this much?", "session_id": 17176, "sequence_id": 53, "annotations": []}
{"role": "student", "content": "yes", "session_id": 17176, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "2 is your answer", "session_id": 17176, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "did you get it", "session_id": 17176, "sequence_id": 56, "annotations": []}
{"role": "student", "content": "let me look", "session_id": 17176, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "??", "session_id": 17176, "sequence_id": 58, "annotations": []}
{"role": "student", "content": "I get it", "session_id": 17176, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "yay try the other 2", "session_id": 17176, "sequence_id": 60, "annotations": []}
{"role": "student", "content": "k", "session_id": 17176, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "and lmk", "session_id": 17176, "sequence_id": 62, "annotations": []}
{"role": "student", "content": "11 for 6???", "session_id": 17176, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "yayyyyy", "session_id": 17176, "sequence_id": 64, "annotations": []}
{"role": "student", "content": "yayy", "session_id": 17176, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "thats rught", "session_id": 17176, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "last one", "session_id": 17176, "sequence_id": 67, "annotations": []}
{"role": "student", "content": "6", "session_id": 17176, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "yesssssss", "session_id": 17176, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "good job im so proud of you", "session_id": 17176, "sequence_id": 70, "annotations": []}
{"role": "student", "content": "thank youuu", "session_id": 17176, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "anything else you need help with?", "session_id": 17176, "sequence_id": 72, "annotations": []}
{"role": "student", "content": "one more", "session_id": 17176, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "okayy", "session_id": 17176, "sequence_id": 74, "annotations": []}
{"role": "volunteer", "content": "Did you get this much", "session_id": 17176, "sequence_id": 75, "annotations": []}
{"role": "student", "content": "yes", "session_id": 17176, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "Got this?", "session_id": 17176, "sequence_id": 77, "annotations": []}
{"role": "student", "content": "what did u write for the last two in number 1", "session_id": 17176, "sequence_id": 78, "annotations": []}
{"role": "student", "content": "6-2x what", "session_id": 17176, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "Got it?", "session_id": 17176, "sequence_id": 80, "annotations": []}
{"role": "student", "content": "yes", "session_id": 17176, "sequence_id": 81, "annotations": []}
{"role": "volunteer", "content": "Got the second part", "session_id": 17176, "sequence_id": 82, "annotations": []}
{"role": "volunteer", "content": "??", "session_id": 17176, "sequence_id": 83, "annotations": []}
{"role": "student", "content": "not yet", "session_id": 17176, "sequence_id": 84, "annotations": []}
{"role": "volunteer", "content": "Liam when you do", "session_id": 17176, "sequence_id": 85, "annotations": [{"pii_type": "PERSON", "surrogate": "Liam", "start": 0, "end": 4}]}
{"role": "student", "content": "so is it 40-6x^2", "session_id": 17176, "sequence_id": 86, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 17176, "sequence_id": 87, "annotations": []}
{"role": "student", "content": "so that's the general statement ?", "session_id": 17176, "sequence_id": 88, "annotations": []}
{"role": "volunteer", "content": "No were still at the first part", "session_id": 17176, "sequence_id": 89, "annotations": []}
{"role": "student", "content": "oh ok", "session_id": 17176, "sequence_id": 90, "annotations": []}
{"role": "volunteer", "content": "see we got the same answer as the previous one", "session_id": 17176, "sequence_id": 91, "annotations": []}
{"role": "volunteer", "content": "so from the part a w can say  that the function is associative", "session_id": 17176, "sequence_id": 92, "annotations": []}
{"role": "volunteer", "content": "thaats the hypothesis", "session_id": 17176, "sequence_id": 93, "annotations": []}
{"role": "volunteer", "content": "did you get that", "session_id": 17176, "sequence_id": 94, "annotations": []}
{"role": "student", "content": "wow that's a lot", "session_id": 17176, "sequence_id": 95, "annotations": []}
{"role": "student", "content": "yes", "session_id": 17176, "sequence_id": 96, "annotations": []}
{"role": "volunteer", "content": "yeaa", "session_id": 17176, "sequence_id": 97, "annotations": []}
{"role": "volunteer", "content": "but did you understand", "session_id": 17176, "sequence_id": 98, "annotations": []}
{"role": "student", "content": "yes", "session_id": 17176, "sequence_id": 99, "annotations": []}
{"role": "volunteer", "content": "yayy", "session_id": 17176, "sequence_id": 100, "annotations": []}
{"role": "volunteer", "content": "okay nayhtign else?", "session_id": 17176, "sequence_id": 101, "annotations": []}
{"role": "student", "content": "no I'm good now", "session_id": 17176, "sequence_id": 102, "annotations": []}
{"role": "student", "content": "thank you so much for helping me", "session_id": 17176, "sequence_id": 103, "annotations": []}
{"role": "volunteer", "content": "anytime", "session_id": 17176, "sequence_id": 104, "annotations": []}
{"role": "volunteer", "content": ":)", "session_id": 17176, "sequence_id": 105, "annotations": []}
{"role": "student", "content": "have a good day", "session_id": 17176, "sequence_id": 106, "annotations": []}
{"role": "volunteer", "content": "Hello Chloe! How are you? :)", "session_id": 17294, "sequence_id": 0, "annotations": [{"pii_type": "PERSON", "surrogate": "Chloe", "start": 6, "end": 11}]}
{"role": "student", "content": "Hi ! im good how about you?", "session_id": 17294, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "Good, thank you!", "session_id": 17294, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "this the assignment i need help on.", "session_id": 17294, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "So the first inequality, y > -x-2, the slope of the line is correct on the graph", "session_id": 17294, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "yeah but it says its wrong", "session_id": 17294, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "idk why", "session_id": 17294, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "if the slope is -1, what would the y-intercept be?", "session_id": 17294, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "-1", "session_id": 17294, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "yes, this is the slope, but the y-intercept equals -2", "session_id": 17294, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "ohh okay", "session_id": 17294, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "but why is it wrong ? is there something im missing?", "session_id": 17294, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "Because the y-intercept is -2, the red line on the graph has to be moved down by one unit", "session_id": 17294, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "and then for the blue inequality, the slope of 2/3 is correctly drawn on the graph, but the y-intercept is not", "session_id": 17294, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "the blue line is wrong right", "session_id": 17294, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "Yes, the slope is right, which is 2/3, but the y-intercept does not equal  2", "session_id": 17294, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "ohh okay", "session_id": 17294, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "Its 3", "session_id": 17294, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "so y<2/3x+3", "session_id": 17294, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "Yes, that is correct!", "session_id": 17294, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "Then how can we rewrite the red inequality with the correct y-intercept?", "session_id": 17294, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "i dont know, how can we ? Is there a formula ( i forgot )", "session_id": 17294, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "You wrote the correct equation with the correct slope of -1 already, but you just need to change the y-intercept", "session_id": 17294, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "ohh nvm", "session_id": 17294, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "right", "session_id": 17294, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "okay", "session_id": 17294, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "i thought were talking about the other one", "session_id": 17294, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "so is the y int", "session_id": 17294, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "-1 right", "session_id": 17294, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "Yes, that's right!", "session_id": 17294, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "So then instead of -2, you would write -1 in the equation", "session_id": 17294, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "okay", "session_id": 17294, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "it says its still wrong", "session_id": 17294, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "Also, the solution of the red inequality cannot be (-2,-6) because this is in a different quadrant", "session_id": 17294, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "oh okay", "session_id": 17294, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "And the solution of the blue inequality cannot be (1,6) because this is a solution in the red shaded area", "session_id": 17294, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "oh btw", "session_id": 17294, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "it says y>-x-1 is wrong", "session_id": 17294, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "Did you type it for the red or blue inequality?", "session_id": 17294, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "red", "session_id": 17294, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "I think the slope might be wrong then", "session_id": 17294, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "Yeah, it's actually not equal to -1", "session_id": 17294, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "How many units down does the graph go from the first point to the next?", "session_id": 17294, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "5", "session_id": 17294, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "So the first point is (-5,3) and the second point is (0,-1)", "session_id": 17294, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "waitt", "session_id": 17294, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "oh", "session_id": 17294, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 17294, "sequence_id": 47, "annotations": []}
{"role": "student", "content": "5", "session_id": 17294, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "The slope would be the difference between the y-coordinates/ the difference in x-coordinates", "session_id": 17294, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "What is the difference between the y-coordinates for these two points", "session_id": 17294, "sequence_id": 50, "annotations": []}
{"role": "student", "content": "2/5 as slope ?", "session_id": 17294, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "The denominator is 5, yes", "session_id": 17294, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "but the numerator would not be 2", "session_id": 17294, "sequence_id": 53, "annotations": []}
{"role": "student", "content": "so is it 1/5 ?", "session_id": 17294, "sequence_id": 54, "annotations": []}
{"role": "student", "content": "-1/5", "session_id": 17294, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "How many units apart are the two points on the y-axis", "session_id": 17294, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "This will tell you the numerator for the slope", "session_id": 17294, "sequence_id": 57, "annotations": []}
{"role": "student", "content": "ohh 5/5", "session_id": 17294, "sequence_id": 58, "annotations": []}
{"role": "student", "content": "right?", "session_id": 17294, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "No the slope would be -4/5", "session_id": 17294, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "Because the second point is 4 units down from the first point", "session_id": 17294, "sequence_id": 61, "annotations": []}
{"role": "student", "content": "ohh i see", "session_id": 17294, "sequence_id": 62, "annotations": []}
{"role": "student", "content": "because", "session_id": 17294, "sequence_id": 63, "annotations": []}
{"role": "student", "content": "i couldnt see the lines but i seen the blue lines", "session_id": 17294, "sequence_id": 64, "annotations": []}
{"role": "student", "content": "because its the same postion", "session_id": 17294, "sequence_id": 65, "annotations": []}
{"role": "student", "content": "but okay i understand", "session_id": 17294, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "That's good! :)", "session_id": 17294, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "So then the inequality would be y > -4/5x - 1", "session_id": 17294, "sequence_id": 68, "annotations": []}
{"role": "student", "content": "okay i need 1 more answer ( ill make an new screenshot)", "session_id": 17294, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "Okay!", "session_id": 17294, "sequence_id": 70, "annotations": []}
{"role": "student", "content": "only need help with the blue equation", "session_id": 17294, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "So, to start, the inequality symbol is not right", "session_id": 17294, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "If the blue shaded region is above the line, should the symbol be less than or greater than", "session_id": 17294, "sequence_id": 73, "annotations": []}
{"role": "student", "content": "so >", "session_id": 17294, "sequence_id": 74, "annotations": []}
{"role": "volunteer", "content": "Correct!", "session_id": 17294, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "And then if the blue line is also not a solid line on the graph, how should we change the symbol", "session_id": 17294, "sequence_id": 76, "annotations": []}
{"role": "student", "content": "to have a line under > right?", "session_id": 17294, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "The line under the symbol means that the values would be included in the inequality", "session_id": 17294, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "so we only put the line under the symbol when there is a solid line on the graph", "session_id": 17294, "sequence_id": 79, "annotations": []}
{"role": "student", "content": "so we only doing >", "session_id": 17294, "sequence_id": 80, "annotations": []}
{"role": "volunteer", "content": "That's right!", "session_id": 17294, "sequence_id": 81, "annotations": []}
{"role": "student", "content": "ok so", "session_id": 17294, "sequence_id": 82, "annotations": []}
{"role": "student", "content": "y>x+?", "session_id": 17294, "sequence_id": 83, "annotations": []}
{"role": "student", "content": "and the y-intercept is -2", "session_id": 17294, "sequence_id": 84, "annotations": []}
{"role": "volunteer", "content": "Yes, the y-intercept is -2, but the slope is not 1", "session_id": 17294, "sequence_id": 85, "annotations": []}
{"role": "student", "content": "okay", "session_id": 17294, "sequence_id": 86, "annotations": []}
{"role": "student", "content": "so y>x+-2?", "session_id": 17294, "sequence_id": 87, "annotations": []}
{"role": "volunteer", "content": "What would the slope be from the point (0,-2) to the point (3,2)", "session_id": 17294, "sequence_id": 88, "annotations": []}
{"role": "student", "content": "+4/3", "session_id": 17294, "sequence_id": 89, "annotations": []}
{"role": "student", "content": "right?", "session_id": 17294, "sequence_id": 90, "annotations": []}
{"role": "volunteer", "content": "Yes but +4/3, good job! :)", "session_id": 17294, "sequence_id": 91, "annotations": []}
{"role": "student", "content": "ohh okay", "session_id": 17294, "sequence_id": 92, "annotations": []}
{"role": "student", "content": "so do we need to simplfiy", "session_id": 17294, "sequence_id": 93, "annotations": []}
{"role": "student", "content": "simplify", "session_id": 17294, "sequence_id": 94, "annotations": []}
{"role": "student", "content": "\"", "session_id": 17294, "sequence_id": 95, "annotations": []}
{"role": "volunteer", "content": "No, this would be the answer!", "session_id": 17294, "sequence_id": 96, "annotations": []}
{"role": "student", "content": "oh okay", "session_id": 17294, "sequence_id": 97, "annotations": []}
{"role": "student", "content": "so y>4/3x", "session_id": 17294, "sequence_id": 98, "annotations": []}
{"role": "volunteer", "content": "Yes, y > 4/3x -2", "session_id": 17294, "sequence_id": 99, "annotations": []}
{"role": "student", "content": "yep correct !", "session_id": 17294, "sequence_id": 100, "annotations": []}
{"role": "student", "content": "Thanks", "session_id": 17294, "sequence_id": 101, "annotations": []}
{"role": "volunteer", "content": "You're welcome, glad I could help you out! :)", "session_id": 17294, "sequence_id": 102, "annotations": []}
{"role": "volunteer", "content": "Keep up the good work!", "session_id": 17294, "sequence_id": 103, "annotations": []}
{"role": "student", "content": "You have a good weekend !", "session_id": 17294, "sequence_id": 104, "annotations": []}
{"role": "volunteer", "content": "You too, thank you!", "session_id": 17294, "sequence_id": 105, "annotations": []}
{"role": "student", "content": "hi", "session_id": 13245, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "Hi! How\u2019s it going?", "session_id": 13245, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "it\u2019s going ok hbu", "session_id": 13245, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "I\u2019m doing well!", "session_id": 13245, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "What can I help you with?", "session_id": 13245, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "triangle congruence proofs", "session_id": 13245, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "Ok! So like ASA, SSS, SAS, and AAS?", "session_id": 13245, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "yeah and like statements and reason", "session_id": 13245, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "Ok. Do you want me to give you like practice problems?", "session_id": 13245, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "yeah but are you able to use your mic it\u2019s difficult to type everything", "session_id": 13245, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "I\u2019ll try but last time I used it I wasn\u2019t able to hear anything", "session_id": 13245, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "oh ok i\u2019ll turn mine on and lmk if u can hear", "session_id": 13245, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "Well", "session_id": 13245, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 13245, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "Hello", "session_id": 13245, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "I can\u2019t hear anything sorry :(", "session_id": 13245, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "it\u2019s ok", "session_id": 13245, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "Do you want help with the problem on the whiteboard?", "session_id": 13245, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "yes", "session_id": 13245, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "Ok!", "session_id": 13245, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "wait r u on phone?", "session_id": 13245, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "No", "session_id": 13245, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "ok whiteboard", "session_id": 13245, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "Ok so what you have written already looks good!", "session_id": 13245, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "thank you", "session_id": 13245, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "it i just ahve no idea what to do next", "session_id": 13245, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "sorry my my typing in advance", "session_id": 13245, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "dor", "session_id": 13245, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "for", "session_id": 13245, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "It\u2019s ok!", "session_id": 13245, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "Try looking at the givens", "session_id": 13245, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "Those usually give hints about what to do next", "session_id": 13245, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "idk", "session_id": 13245, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "If QR bisects DS what does that tell us?", "session_id": 13245, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "DR is congruent to RS", "session_id": 13245, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "?", "session_id": 13245, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "Yes!", "session_id": 13245, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "So that is your statement", "session_id": 13245, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "is it bc of def of bisector", "session_id": 13245, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "Yep!", "session_id": 13245, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "then wouldn\u2019t i have all the sides i need to come up with my conclusion of SAD", "session_id": 13245, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "SAS", "session_id": 13245, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "no way", "session_id": 13245, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "wait idk", "session_id": 13245, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "Well the other given is that SQ is congruent to DQ", "session_id": 13245, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 13245, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "So now you know that all the sides are congruent", "session_id": 13245, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "Because of that given and also the reflexive property and the segment bisector thing", "session_id": 13245, "sequence_id": 47, "annotations": []}
{"role": "student", "content": "SAS?", "session_id": 13245, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "Close! Remember A stands for angle and we don\u2019t know anything about any angles", "session_id": 13245, "sequence_id": 49, "annotations": []}
{"role": "student", "content": "omg yes", "session_id": 13245, "sequence_id": 50, "annotations": []}
{"role": "student", "content": "Sss", "session_id": 13245, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "oops", "session_id": 13245, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "Yes!", "session_id": 13245, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "Great job!", "session_id": 13245, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "It\u2019s ok everyone makes mistakes", "session_id": 13245, "sequence_id": 55, "annotations": []}
{"role": "student", "content": "DQR and SQR", "session_id": 13245, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "Yep!", "session_id": 13245, "sequence_id": 57, "annotations": []}
{"role": "student", "content": "then does that prove that QR bisects angle DQS bc of cpctc", "session_id": 13245, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "Yep!", "session_id": 13245, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "We", "session_id": 13245, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "Well I would say that a little differently", "session_id": 13245, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "I would break that into 2 different statements and reasons", "session_id": 13245, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "I would say that angle DQR is congruent to angle SQR because of CPCTC", "session_id": 13245, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "And then I would say that QR bisects DSQ because def of angle bisector", "session_id": 13245, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "*DSQ not DSQ", "session_id": 13245, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "DQS", "session_id": 13245, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "holy typo", "session_id": 13245, "sequence_id": 67, "annotations": []}
{"role": "student", "content": "lolll see typing isn\u2019t easy", "session_id": 13245, "sequence_id": 68, "annotations": []}
{"role": "student", "content": "but wait was what i said right enough", "session_id": 13245, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "It is right but I would break it up into 2 different statements because CPCTC cant necessarily prove that something is a bisector it can only prove that 2 things are congruent", "session_id": 13245, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "But then from that you can prove that it is a bisector", "session_id": 13245, "sequence_id": 71, "annotations": []}
{"role": "student", "content": "i mean yeah ur right ill just write what you said", "session_id": 13245, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "It\u2019s not a huge deal but your teacher would probably prefer it broken into 2 statements", "session_id": 13245, "sequence_id": 73, "annotations": []}
{"role": "student", "content": "yeah he\u2019s so annoying", "session_id": 13245, "sequence_id": 74, "annotations": []}
{"role": "student", "content": "that was my last tingle congruence problem are you able to do this", "session_id": 13245, "sequence_id": 75, "annotations": []}
{"role": "student", "content": "i\u2019ll put it in the white board", "session_id": 13245, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "Ok!", "session_id": 13245, "sequence_id": 77, "annotations": []}
{"role": "student", "content": "are you able to do this?", "session_id": 13245, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "I think so", "session_id": 13245, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "So for question 1 I think it is asking you to look at the imaginary line between both A points and find the middle", "session_id": 13245, "sequence_id": 80, "annotations": []}
{"role": "volunteer", "content": "You can use the coordinates to help you", "session_id": 13245, "sequence_id": 81, "annotations": []}
{"role": "student", "content": "yeah but u just don\u2019t know who to find that and ik there a formula i just don\u2019t know it and how to apply it", "session_id": 13245, "sequence_id": 82, "annotations": []}
{"role": "student", "content": "i meant i", "session_id": 13245, "sequence_id": 83, "annotations": []}
{"role": "volunteer", "content": "Well for this question you can just eyeball it without a formula", "session_id": 13245, "sequence_id": 84, "annotations": []}
{"role": "student", "content": "for the A part i can but not for D", "session_id": 13245, "sequence_id": 85, "annotations": []}
{"role": "volunteer", "content": "I think we might be able to use the distance formula here", "session_id": 13245, "sequence_id": 86, "annotations": []}
{"role": "volunteer", "content": "I\u2019ll write out the equation", "session_id": 13245, "sequence_id": 87, "annotations": []}
{"role": "student", "content": "Ben also i ahve to use the restroom quickly i will brb", "session_id": 13245, "sequence_id": 88, "annotations": [{"pii_type": "PERSON", "surrogate": "Ben", "start": 0, "end": 3}]}
{"role": "student", "content": "ok back", "session_id": 13245, "sequence_id": 89, "annotations": []}
{"role": "volunteer", "content": "Ok so the distance formula gives us the length of the line", "session_id": 13245, "sequence_id": 90, "annotations": []}
{"role": "volunteer", "content": "I\u2019m 100% sure how to use that to find the midpoint tho", "session_id": 13245, "sequence_id": 91, "annotations": []}
{"role": "student", "content": "same but it\u2019s ok i\u2019m pretty sure i can ask my mom how to do this one", "session_id": 13245, "sequence_id": 92, "annotations": []}
{"role": "student", "content": "but i have one more i don\u2019t understand", "session_id": 13245, "sequence_id": 93, "annotations": []}
{"role": "volunteer", "content": "Ok!", "session_id": 13245, "sequence_id": 94, "annotations": []}
{"role": "student", "content": "kk put a picture of it", "session_id": 13245, "sequence_id": 95, "annotations": []}
{"role": "volunteer", "content": "Ok so when we rotate something 90\u00b0 it changes its coordinates from (x,y) to (y,-x)", "session_id": 13245, "sequence_id": 96, "annotations": []}
{"role": "volunteer", "content": "But that is for when it is rotated around the origin", "session_id": 13245, "sequence_id": 97, "annotations": []}
{"role": "student", "content": "oh yeah", "session_id": 13245, "sequence_id": 98, "annotations": []}
{"role": "student", "content": "now what?", "session_id": 13245, "sequence_id": 99, "annotations": []}
{"role": "volunteer", "content": "I think this is a 180\u00b0 rotation", "session_id": 13245, "sequence_id": 100, "annotations": []}
{"role": "student", "content": "how would i rotate something around a certain point", "session_id": 13245, "sequence_id": 101, "annotations": []}
{"role": "volunteer", "content": "I\u2019m not exactly sure what to do for a 90\u00b0 rotation", "session_id": 13245, "sequence_id": 102, "annotations": []}
{"role": "volunteer", "content": "Here I\u2019ll try to explain on the whiteboard", "session_id": 13245, "sequence_id": 103, "annotations": []}
{"role": "student", "content": "ok ty", "session_id": 13245, "sequence_id": 104, "annotations": []}
{"role": "volunteer", "content": "Ok so we are rotating around the point (-3,-2)", "session_id": 13245, "sequence_id": 105, "annotations": []}
{"role": "student", "content": "yes", "session_id": 13245, "sequence_id": 106, "annotations": []}
{"role": "volunteer", "content": "So if the original triangle is 4 units down and 1 to the left of (-3,-2) we want make our new point at 4 units up and 1 to the right of (-3,-2)", "session_id": 13245, "sequence_id": 107, "annotations": []}
{"role": "volunteer", "content": "Because up and right is the opposite of down and left", "session_id": 13245, "sequence_id": 108, "annotations": []}
{"role": "student", "content": "\ud83d\ude10", "session_id": 13245, "sequence_id": 109, "annotations": []}
{"role": "student", "content": "i don\u2019t understand", "session_id": 13245, "sequence_id": 110, "annotations": []}
{"role": "volunteer", "content": "On the whiteboard I wrote 4 and 1 to show how point D is 4 units down and 1 to the left of (-3,-2)", "session_id": 13245, "sequence_id": 111, "annotations": []}
{"role": "volunteer", "content": "And I think when making the new triangle you are supposed to put the new point 4 units up and 1 to the right of (-3,-2)", "session_id": 13245, "sequence_id": 112, "annotations": []}
{"role": "volunteer", "content": "Basically a 180\u00b0 rotation is like flipping something upside down", "session_id": 13245, "sequence_id": 113, "annotations": []}
{"role": "student", "content": "i thought it was a 90 rotation", "session_id": 13245, "sequence_id": 114, "annotations": []}
{"role": "volunteer", "content": "Yeah but that is even more complicated so I\u2019m doing a 180\u00b0 one first", "session_id": 13245, "sequence_id": 115, "annotations": []}
{"role": "volunteer", "content": "Also I think the picture disappeared", "session_id": 13245, "sequence_id": 116, "annotations": []}
{"role": "student", "content": "i still see itb", "session_id": 13245, "sequence_id": 117, "annotations": []}
{"role": "volunteer", "content": "I don\u2019t see it on the whiteboard anymore", "session_id": 13245, "sequence_id": 118, "annotations": []}
{"role": "volunteer", "content": "Oh wait nvm", "session_id": 13245, "sequence_id": 119, "annotations": []}
{"role": "volunteer", "content": "Ok so a 180\u00b0 rotation is like flipping the image upside down", "session_id": 13245, "sequence_id": 120, "annotations": []}
{"role": "volunteer", "content": "Try flipping the image of the red triangle and the point (-3,-2) upside down", "session_id": 13245, "sequence_id": 121, "annotations": []}
{"role": "volunteer", "content": "You\u2019ll notice that point D appears to be 4 units up and 1 to the right from (-3,-2)", "session_id": 13245, "sequence_id": 122, "annotations": []}
{"role": "student", "content": "it\u2019s not rlly making sense to me right now and i have to go get breakfast with my mom but thank you so much for the help and i hope you have a good rest of ur day", "session_id": 13245, "sequence_id": 123, "annotations": []}
{"role": "volunteer", "content": "Because when it is flipped upside down it looks different", "session_id": 13245, "sequence_id": 124, "annotations": []}
{"role": "volunteer", "content": "Ok! Sorry I wasn\u2019t able to help :(", "session_id": 13245, "sequence_id": 125, "annotations": []}
{"role": "volunteer", "content": "Have a great day!", "session_id": 13245, "sequence_id": 126, "annotations": []}
{"role": "student", "content": "it\u2019s ok thank you so much for u time", "session_id": 13245, "sequence_id": 127, "annotations": []}
{"role": "volunteer", "content": "Hey Sam, how can I help you today?", "session_id": 13494, "sequence_id": 0, "annotations": [{"pii_type": "PERSON", "surrogate": "Sam", "start": 4, "end": 7}]}
{"role": "student", "content": "I'm having a bit of trouble with binomials", "session_id": 13494, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "Okay perfect I'll draw out a generic one and we will see if we can apply it to this problem.", "session_id": 13494, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "Okay.", "session_id": 13494, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "\ud83d\udc4d", "session_id": 13494, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "Does that make sense?", "session_id": 13494, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "I understand that part, I just wanna know how to structure them after the multiplication takes place", "session_id": 13494, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "Then you would simplify. Let's take your example, do you want to write out what you have after multiplication?", "session_id": 13494, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "Where did the 14 come from?", "session_id": 13494, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "My bad..", "session_id": 13494, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "You almost have the right answer but just missed one step", "session_id": 13494, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "I'll write it out and you tell me if you see the step you missed", "session_id": 13494, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "I didn't multiply the -2 and u", "session_id": 13494, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "Yes exactly right other than that you were correct!", "session_id": 13494, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "So what would the final answer be?", "session_id": 13494, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "One sec", "session_id": 13494, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "Okay", "session_id": 13494, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "Really close but take a look at your signs", "session_id": 13494, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "does -2+8=-6?", "session_id": 13494, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "That answer is correct!", "session_id": 13494, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "Thank you for helping!", "session_id": 13494, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "Let's practice just writing this one out and then simplify it", "session_id": 13494, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "Okay.", "session_id": 13494, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "I'll help you where ever you get stuck", "session_id": 13494, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "Should that be a minus or a plus sign?", "session_id": 13494, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "minus?", "session_id": 13494, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "Why minus?", "session_id": 13494, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "What are you multiplying?", "session_id": 13494, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "4 and y", "session_id": 13494, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "Is that going to be positive or negative?", "session_id": 13494, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "Perfect!", "session_id": 13494, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "That's right?", "session_id": 13494, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "Yes it is", "session_id": 13494, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "Do you understand why it is a positive 4y and not a negative 4y", "session_id": 13494, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "Because the 4 in the original equation is positive?", "session_id": 13494, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "Yes exactly right!", "session_id": 13494, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "Okay.", "session_id": 13494, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "Lets work through this one!", "session_id": 13494, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "is that right?", "session_id": 13494, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "not quite", "session_id": 13494, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "you were really close but its not a +7v+3v and then you make that all negative its a -7v+3v", "session_id": 13494, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "Did I fix it?", "session_id": 13494, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "Does that make sense as to why?", "session_id": 13494, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "Yep, I just made a slight mistake with my math..", "session_id": 13494, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "That is okay it was a super simple mistake", "session_id": 13494, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "Do you want more help with polynomials?", "session_id": 13494, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "Nope.", "session_id": 13494, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "Thank you for helping!\ud83d\udc4d", "session_id": 13494, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "Yes of course! Do you need help with anything else?", "session_id": 13494, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "I don't think so.", "session_id": 13494, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "Have a good day!", "session_id": 13494, "sequence_id": 50, "annotations": []}
{"role": "student", "content": "You too!", "session_id": 13494, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "hi! how are you today?", "session_id": 15197, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "Hi Alex! I'm great, thank you for asking! How are you?", "session_id": 15197, "sequence_id": 1, "annotations": [{"pii_type": "PERSON", "surrogate": "Alex", "start": 3, "end": 7}]}
{"role": "student", "content": "I'm good :)", "session_id": 15197, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "That's great! What can I help you with today?", "session_id": 15197, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "I was wondering if you could help me understand something Abt my math equation rq?", "session_id": 15197, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "Of course!", "session_id": 15197, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "why are the x intercepts negative if they were positive in the equation", "session_id": 15197, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "Oh, I see! Well, if you look in the second equation, you are trying to get the equation to equal 0, correct?", "session_id": 15197, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "yes", "session_id": 15197, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "Do you know one way to make the equation equal zero?", "session_id": 15197, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "ohhhh", "session_id": 15197, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "you subtract 6 and 4", "session_id": 15197, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "Yes amazing job Alex!", "session_id": 15197, "sequence_id": 12, "annotations": [{"pii_type": "PERSON", "surrogate": "Alex", "start": 16, "end": 20}]}
{"role": "volunteer", "content": "When you use the -6, it cancels out with the positive 6, which gets 0!", "session_id": 15197, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "That is the same for the -4 and 4.", "session_id": 15197, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "And when you multiply something by 0, it equals 0!", "session_id": 15197, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "I get it now", "session_id": 15197, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "thank you so much", "session_id": 15197, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "Great job Alex! Have a great day!", "session_id": 15197, "sequence_id": 18, "annotations": [{"pii_type": "PERSON", "surrogate": "Alex", "start": 10, "end": 14}]}
{"role": "student", "content": "you too :)", "session_id": 15197, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "Hey how are you", "session_id": 15404, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "Hey! How are you doing today?", "session_id": 15404, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "I am great, thanks for asking. How can i help you?", "session_id": 15404, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "can you check my answers for me", "session_id": 15404, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "Sure, let me see what you have gotten", "session_id": 15404, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "Looks good", "session_id": 15404, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "Correct", "session_id": 15404, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "right", "session_id": 15404, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "Why did you think domain changes in this case?", "session_id": 15404, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "because its on the y", "session_id": 15404, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "what is the definition of the domain?", "session_id": 15404, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "isn't the domain the y axis", "session_id": 15404, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "Domain is the values x can take", "session_id": 15404, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "range is the values Y can take", "session_id": 15404, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "so would it be d then?", "session_id": 15404, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "why do you think so?", "session_id": 15404, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "because both lines are going down but they both have the same x points", "session_id": 15404, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "yeah correct. the domain of x is (0,infinity)", "session_id": 15404, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "in both cases", "session_id": 15404, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "looks good", "session_id": 15404, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "okay thanks for all the help", "session_id": 15404, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "have a great day", "session_id": 15404, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "Hi", "session_id": 16059, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "Hi", "session_id": 16059, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "Hi! How can I help you?", "session_id": 16059, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "I have no idea how to do this", "session_id": 16059, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "it s ok, i ll try my best to explin", "session_id": 16059, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "Are u able to use the mic", "session_id": 16059, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "can you tell me what do you understand from this?", "session_id": 16059, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "sorry, i am not", "session_id": 16059, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "Ok it\u2019s ok", "session_id": 16059, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "I know u need to plug the f into the variables but I don\u2019t know when to know how its domain", "session_id": 16059, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "it s ok", "session_id": 16059, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "So I plugged in the first one", "session_id": 16059, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "hi", "session_id": 16294, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "hello'", "session_id": 16294, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "would you be able to help me with this problem", "session_id": 16294, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "ill put it on the whiteboard", "session_id": 16294, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 16294, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "i just have to do 8", "session_id": 16294, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "You need to do a graph for this.", "session_id": 16294, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "this is true", "session_id": 16294, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "how do i proceed", "session_id": 16294, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "I uploaded some graph paper.", "session_id": 16294, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "perfect", "session_id": 16294, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "Do you know how to graph sine and cosine?", "session_id": 16294, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "yes", "session_id": 16294, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "You can use that graph paper", "session_id": 16294, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "alright and i just graph sin and cosine?", "session_id": 16294, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "i think the wording of this assignment is just throwing me off", "session_id": 16294, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "graph the three functions that they give you in the domains they give you for each one.", "session_id": 16294, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "is that right for the first one", "session_id": 16294, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "1+sin", "session_id": 16294, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "no.", "session_id": 16294, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "Sam", "session_id": 16294, "sequence_id": 20, "annotations": [{"pii_type": "PERSON", "surrogate": "Sam", "start": 0, "end": 3}]}
{"role": "student", "content": "okay", "session_id": 16294, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "First of all, it says to graph 1+sinx for x<0", "session_id": 16294, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "so the graph should only be to the along the negative x axis", "session_id": 16294, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "ohh okay", "session_id": 16294, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "so", "session_id": 16294, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "when x =0, what is 1+sinx?", "session_id": 16294, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "i think im doing this wrong", "session_id": 16294, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "when x is 0 what does 1+sinx equal?", "session_id": 16294, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "what is sin(0)?", "session_id": 16294, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "hello?", "session_id": 16294, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "im so sorry i had to run for a sec", "session_id": 16294, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "im back", "session_id": 16294, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "sin (0)?", "session_id": 16294, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "im not sure", "session_id": 16294, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "0", "session_id": 16294, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "okay that makes sense", "session_id": 16294, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "If you are taking calculus it would be a good idea to become familiar with the trig functions. they are used a lot in calculus.", "session_id": 16294, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "yes, youre very right. i think i just have trouble retaining information on this kind of thing", "session_id": 16294, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "Let's look at the middle function, cosx", "session_id": 16294, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "okay", "session_id": 16294, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "what is cos(0)?", "session_id": 16294, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "0?", "session_id": 16294, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "1", "session_id": 16294, "sequence_id": 43, "annotations": []}
{"role": "student", "content": "omg okay yes", "session_id": 16294, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "taking notes", "session_id": 16294, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "the bottom function, sinx, starts at \ud835\udf0b", "session_id": 16294, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "what is sin(\ud835\udf0b)?", "session_id": 16294, "sequence_id": 47, "annotations": []}
{"role": "student", "content": "1?", "session_id": 16294, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "oh shoot no", "session_id": 16294, "sequence_id": 49, "annotations": []}
{"role": "student", "content": "-1", "session_id": 16294, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "no  0", "session_id": 16294, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "okay", "session_id": 16294, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "That's a sketch of the graph", "session_id": 16294, "sequence_id": 53, "annotations": []}
{"role": "student", "content": "okay i see it", "session_id": 16294, "sequence_id": 54, "annotations": []}
{"role": "student", "content": "thank you", "session_id": 16294, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "You are welcome", "session_id": 16294, "sequence_id": 56, "annotations": []}
{"role": "student", "content": "im just writing this on my own paper", "session_id": 16294, "sequence_id": 57, "annotations": []}
{"role": "student", "content": "alright", "session_id": 16294, "sequence_id": 58, "annotations": []}
{"role": "student", "content": "so does it not exist at pi?", "session_id": 16294, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "that's right", "session_id": 16294, "sequence_id": 60, "annotations": []}
{"role": "student", "content": "alright", "session_id": 16294, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "the graph is discontinuous at x =\ud835\udf0b", "session_id": 16294, "sequence_id": 62, "annotations": []}
{"role": "student", "content": "thank yiu", "session_id": 16294, "sequence_id": 63, "annotations": []}
{"role": "student", "content": "you", "session_id": 16294, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "you are welcome", "session_id": 16294, "sequence_id": 65, "annotations": []}
{"role": "student", "content": "have a good evening", "session_id": 16294, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "you too.", "session_id": 16294, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "bye", "session_id": 16294, "sequence_id": 68, "annotations": []}
{"role": "student", "content": "bye", "session_id": 16294, "sequence_id": 69, "annotations": []}
{"role": "student", "content": "Hi", "session_id": 16446, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "Hello!", "session_id": 16446, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "I need help to study a quiz", "session_id": 16446, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "About perfect squares", "session_id": 16446, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "ok! let's look at the questions", "session_id": 16446, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "On here or writing it", "session_id": 16446, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "ok!", "session_id": 16446, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "ok, let's break it down", "session_id": 16446, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "do you know what the little number above the big number is?", "session_id": 16446, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "Yes a 2", "session_id": 16446, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "yep!", "session_id": 16446, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "so do you know what we do when that number is there?", "session_id": 16446, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "Multiply the number 2 times ?", "session_id": 16446, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "exactly!", "session_id": 16446, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "let's try it with number 2", "session_id": 16446, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "4", "session_id": 16446, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "exactly!", "session_id": 16446, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "So 3 would be 9?", "session_id": 16446, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "yep! good job!", "session_id": 16446, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "So 4 is 16", "session_id": 16446, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "great job!", "session_id": 16446, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "5=25", "session_id": 16446, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "you got it!", "session_id": 16446, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "would you like help on anything else?", "session_id": 16446, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "30-100 tens perfect squares", "session_id": 16446, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "ok! do you want to write an example question?", "session_id": 16446, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "ok, so just like how we multiplied 2*2, we do the same thing for 30", "session_id": 16446, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "So 90", "session_id": 16446, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "close!", "session_id": 16446, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "30*30 has 2 zeros right? so there would be 2 zeros after the 9, which means it's 900", "session_id": 16446, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "Oooh", "session_id": 16446, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "That makes sense", "session_id": 16446, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "yep! so just do the first number times it self, then add the amount of zeros there are after that number", "session_id": 16446, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "Thank you that\u2019s all I need", "session_id": 16446, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "ok! good work today!", "session_id": 16446, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "Hello! I need help with solving this.", "session_id": 18078, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "If I do not respond, I walked away from my laptop please do not end the session.", "session_id": 18078, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "hi I can help you", "session_id": 18078, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "no problem", "session_id": 18078, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "I wrote some formulas on the board to help you when you get back", "session_id": 18078, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "have a try using them when you come back and i can check your work", "session_id": 18078, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "I'm back", "session_id": 18078, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "Ok thank you", "session_id": 18078, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "0.8 kg?", "session_id": 18078, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "yes exactly right", "session_id": 18078, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "is it 14.2/15", "session_id": 18078, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "no", "session_id": 18078, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "absolute error is what you just calculated", "session_id": 18078, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "the 0.8kg", "session_id": 18078, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "olh", "session_id": 18078, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "oh so 0.8/14.2", "session_id": 18078, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 18078, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "1775?", "session_id": 18078, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "no you reversed it", "session_id": 18078, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "should be 0.8/14.2", "session_id": 18078, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "oh", "session_id": 18078, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "thats whati got", "session_id": 18078, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "Tutor Provider wont let me send the answer in chat but its on whiteboard", "session_id": 18078, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "5.64?", "session_id": 18078, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "hold on let me check", "session_id": 18078, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "ok", "session_id": 18078, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "exactly right", "session_id": 18078, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "I have to run to the bathroom really quick, give me 3 mins", "session_id": 18078, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "Ok thats fine", "session_id": 18078, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "oh so its correct? its 5.64?", "session_id": 18078, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 18078, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "good work", "session_id": 18078, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "Ok", "session_id": 18078, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "it said", "session_id": 18078, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "round to nearest 10th", "session_id": 18078, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "when i tried to press enter", "session_id": 18078, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "so 74? or 73?", "session_id": 18078, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "5.6", "session_id": 18078, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "oh no yeah its just 5.6", "session_id": 18078, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "tenth is the first decimal place", "session_id": 18078, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "yes exactly", "session_id": 18078, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "I have another one give me one sec", "session_id": 18078, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 18078, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "here it is", "session_id": 18078, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 18078, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "I am going to write a formula on the board that can help with these", "session_id": 18078, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "Ok thank you", "session_id": 18078, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "so you can think about this formula as well as the wording to kind of place the given numbers and find your answer", "session_id": 18078, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "i'll do the first one as an example", "session_id": 18078, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "lmk if the pink is right", "session_id": 18078, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "not quite", "session_id": 18078, "sequence_id": 50, "annotations": []}
{"role": "student", "content": "60 is 0.6 as a decimal", "session_id": 18078, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "this is where it gets a little tricky because you have to place your numbers correctly in the formula", "session_id": 18078, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "27 is actually the result", "session_id": 18078, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "60 is the number", "session_id": 18078, "sequence_id": 54, "annotations": []}
{"role": "student", "content": "oh", "session_id": 18078, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "we are looking for the percentage", "session_id": 18078, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "a key word to look for is \"is\"", "session_id": 18078, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "\"is\" tells you the equals sign", "session_id": 18078, "sequence_id": 58, "annotations": []}
{"role": "student", "content": "is it 45", "session_id": 18078, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "wait where did my formula go", "session_id": 18078, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "that is not right", "session_id": 18078, "sequence_id": 61, "annotations": []}
{"role": "student", "content": "oh", "session_id": 18078, "sequence_id": 62, "annotations": []}
{"role": "student", "content": "u have to put it back on whiteboard", "session_id": 18078, "sequence_id": 63, "annotations": []}
{"role": "student", "content": "or press undo", "session_id": 18078, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "oh wait yes that is right", "session_id": 18078, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "I will rewrite the formula though anyway", "session_id": 18078, "sequence_id": 66, "annotations": []}
{"role": "student", "content": "ok", "session_id": 18078, "sequence_id": 67, "annotations": []}
{"role": "student", "content": "so its 45 PERCENT?", "session_id": 18078, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "yup", "session_id": 18078, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "yes the second one is right too", "session_id": 18078, "sequence_id": 70, "annotations": []}
{"role": "student", "content": "i ave another percent problem", "session_id": 18078, "sequence_id": 71, "annotations": []}
{"role": "student", "content": "ill solve it on my own this time and see if im right", "session_id": 18078, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 18078, "sequence_id": 73, "annotations": []}
{"role": "student", "content": "is this right?", "session_id": 18078, "sequence_id": 74, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 18078, "sequence_id": 75, "annotations": []}
{"role": "student", "content": "uhh yeah I need help with b Lol", "session_id": 18078, "sequence_id": 76, "annotations": []}
{"role": "student", "content": "the answer looks questionable", "session_id": 18078, "sequence_id": 77, "annotations": []}
{"role": "student", "content": "nvm ik what i did wrong", "session_id": 18078, "sequence_id": 78, "annotations": []}
{"role": "student", "content": "actually idk if its right", "session_id": 18078, "sequence_id": 79, "annotations": []}
{"role": "student", "content": "take a look", "session_id": 18078, "sequence_id": 80, "annotations": []}
{"role": "student", "content": "oh it 21", "session_id": 18078, "sequence_id": 81, "annotations": []}
{"role": "volunteer", "content": "no not quite", "session_id": 18078, "sequence_id": 82, "annotations": []}
{"role": "student", "content": "Oh ok", "session_id": 18078, "sequence_id": 83, "annotations": []}
{"role": "volunteer", "content": "if you think about our formula again, you are going to have to divide 21.12 by (0.256)", "session_id": 18078, "sequence_id": 84, "annotations": []}
{"role": "student", "content": "ok", "session_id": 18078, "sequence_id": 85, "annotations": []}
{"role": "student", "content": "82.5", "session_id": 18078, "sequence_id": 86, "annotations": []}
{"role": "volunteer", "content": "yup", "session_id": 18078, "sequence_id": 87, "annotations": []}
{"role": "student", "content": "and then what", "session_id": 18078, "sequence_id": 88, "annotations": []}
{"role": "volunteer", "content": "that's your answer", "session_id": 18078, "sequence_id": 89, "annotations": []}
{"role": "student", "content": "ok", "session_id": 18078, "sequence_id": 90, "annotations": []}
{"role": "student", "content": "I think I remember this formula", "session_id": 18078, "sequence_id": 91, "annotations": []}
{"role": "student", "content": "actually i dont lol", "session_id": 18078, "sequence_id": 92, "annotations": []}
{"role": "volunteer", "content": "does this look farmiliar", "session_id": 18078, "sequence_id": 93, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 18078, "sequence_id": 94, "annotations": []}
{"role": "student", "content": "is it P,r,n,t?", "session_id": 18078, "sequence_id": 95, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 18078, "sequence_id": 96, "annotations": []}
{"role": "student", "content": "ok", "session_id": 18078, "sequence_id": 97, "annotations": []}
{"role": "student", "content": "my writing disappeared", "session_id": 18078, "sequence_id": 98, "annotations": []}
{"role": "volunteer", "content": "oh no", "session_id": 18078, "sequence_id": 99, "annotations": []}
{"role": "student", "content": "its fine", "session_id": 18078, "sequence_id": 100, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 18078, "sequence_id": 101, "annotations": []}
{"role": "student", "content": "n t?", "session_id": 18078, "sequence_id": 102, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 18078, "sequence_id": 103, "annotations": []}
{"role": "volunteer", "content": "be careful", "session_id": 18078, "sequence_id": 104, "annotations": []}
{"role": "volunteer", "content": "p is principal", "session_id": 18078, "sequence_id": 105, "annotations": []}
{"role": "volunteer", "content": "that means the number you start with", "session_id": 18078, "sequence_id": 106, "annotations": []}
{"role": "volunteer", "content": "not the final number", "session_id": 18078, "sequence_id": 107, "annotations": []}
{"role": "student", "content": "is it wrong..?", "session_id": 18078, "sequence_id": 108, "annotations": []}
{"role": "volunteer", "content": "23400 is what we want our equation to equal", "session_id": 18078, "sequence_id": 109, "annotations": []}
{"role": "volunteer", "content": "we are solving for p", "session_id": 18078, "sequence_id": 110, "annotations": []}
{"role": "student", "content": "so its not 23,400?", "session_id": 18078, "sequence_id": 111, "annotations": []}
{"role": "volunteer", "content": "no", "session_id": 18078, "sequence_id": 112, "annotations": []}
{"role": "volunteer", "content": "p is not", "session_id": 18078, "sequence_id": 113, "annotations": []}
{"role": "volunteer", "content": "p is what the answer is", "session_id": 18078, "sequence_id": 114, "annotations": []}
{"role": "student", "content": "oh A", "session_id": 18078, "sequence_id": 115, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 18078, "sequence_id": 116, "annotations": []}
{"role": "volunteer", "content": "it says 23400 AFTER 6 years", "session_id": 18078, "sequence_id": 117, "annotations": []}
{"role": "student", "content": "can you take a look at my math", "session_id": 18078, "sequence_id": 118, "annotations": []}
{"role": "volunteer", "content": "why did you do the second part", "session_id": 18078, "sequence_id": 119, "annotations": []}
{"role": "student", "content": "im not supposed to?", "session_id": 18078, "sequence_id": 120, "annotations": []}
{"role": "volunteer", "content": "i'm not sure what part of the formula that corresponds to", "session_id": 18078, "sequence_id": 121, "annotations": []}
{"role": "volunteer", "content": "do you see what I wrote out", "session_id": 18078, "sequence_id": 122, "annotations": []}
{"role": "student", "content": "mhm", "session_id": 18078, "sequence_id": 123, "annotations": []}
{"role": "student", "content": "Ok and then what", "session_id": 18078, "sequence_id": 124, "annotations": []}
{"role": "student", "content": "its 1.104?", "session_id": 18078, "sequence_id": 125, "annotations": []}
{"role": "student", "content": "that doesnt look right", "session_id": 18078, "sequence_id": 126, "annotations": []}
{"role": "student", "content": "oh divide", "session_id": 18078, "sequence_id": 127, "annotations": []}
{"role": "volunteer", "content": "no not 1.104", "session_id": 18078, "sequence_id": 128, "annotations": []}
{"role": "volunteer", "content": "did you see what I wrote out", "session_id": 18078, "sequence_id": 129, "annotations": []}
{"role": "volunteer", "content": "the steps", "session_id": 18078, "sequence_id": 130, "annotations": []}
{"role": "student", "content": "yes i do now", "session_id": 18078, "sequence_id": 131, "annotations": []}
{"role": "student", "content": "21181.12345678", "session_id": 18078, "sequence_id": 132, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 18078, "sequence_id": 133, "annotations": []}
{"role": "volunteer", "content": "correct", "session_id": 18078, "sequence_id": 134, "annotations": []}
{"role": "student", "content": "round?", "session_id": 18078, "sequence_id": 135, "annotations": []}
{"role": "volunteer", "content": "your first three steps were right but you added more steps", "session_id": 18078, "sequence_id": 136, "annotations": []}
{"role": "student", "content": "72?", "session_id": 18078, "sequence_id": 137, "annotations": []}
{"role": "volunteer", "content": "to the nearest dollar", "session_id": 18078, "sequence_id": 138, "annotations": []}
{"role": "volunteer", "content": "not cents", "session_id": 18078, "sequence_id": 139, "annotations": []}
{"role": "student", "content": "oh", "session_id": 18078, "sequence_id": 140, "annotations": []}
{"role": "student", "content": "3?", "session_id": 18078, "sequence_id": 141, "annotations": []}
{"role": "volunteer", "content": "nearest dollar", "session_id": 18078, "sequence_id": 142, "annotations": []}
{"role": "volunteer", "content": "dollar is a whole number", "session_id": 18078, "sequence_id": 143, "annotations": []}
{"role": "volunteer", "content": "no decimals", "session_id": 18078, "sequence_id": 144, "annotations": []}
{"role": "volunteer", "content": "21182", "session_id": 18078, "sequence_id": 145, "annotations": []}
{"role": "student", "content": "Okay", "session_id": 18078, "sequence_id": 146, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 18078, "sequence_id": 147, "annotations": []}
{"role": "student", "content": "$21182.71?", "session_id": 18078, "sequence_id": 148, "annotations": []}
{"role": "volunteer", "content": "no", "session_id": 18078, "sequence_id": 149, "annotations": []}
{"role": "volunteer", "content": "21182", "session_id": 18078, "sequence_id": 150, "annotations": []}
{"role": "volunteer", "content": "no cents", "session_id": 18078, "sequence_id": 151, "annotations": []}
{"role": "volunteer", "content": "no decimals", "session_id": 18078, "sequence_id": 152, "annotations": []}
{"role": "volunteer", "content": "nearest dollar", "session_id": 18078, "sequence_id": 153, "annotations": []}
{"role": "student", "content": "oh", "session_id": 18078, "sequence_id": 154, "annotations": []}
{"role": "student", "content": "0.8/150?", "session_id": 18078, "sequence_id": 155, "annotations": []}
{"role": "student", "content": "i mean times", "session_id": 18078, "sequence_id": 156, "annotations": []}
{"role": "student", "content": "actually idk", "session_id": 18078, "sequence_id": 157, "annotations": []}
{"role": "volunteer", "content": "no", "session_id": 18078, "sequence_id": 158, "annotations": []}
{"role": "volunteer", "content": "this is the amount that smoke", "session_id": 18078, "sequence_id": 159, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 18078, "sequence_id": 160, "annotations": []}
{"role": "student", "content": "oh i see", "session_id": 18078, "sequence_id": 161, "annotations": []}
{"role": "volunteer", "content": "divide that by the total and multiply by 100%", "session_id": 18078, "sequence_id": 162, "annotations": []}
{"role": "student", "content": "8/22?", "session_id": 18078, "sequence_id": 163, "annotations": []}
{"role": "volunteer", "content": "no 8+22", "session_id": 18078, "sequence_id": 164, "annotations": []}
{"role": "volunteer", "content": "is total number of smokers", "session_id": 18078, "sequence_id": 165, "annotations": []}
{"role": "student", "content": "3000", "session_id": 18078, "sequence_id": 166, "annotations": []}
{"role": "volunteer", "content": "divide total number of smokers by total number of people", "session_id": 18078, "sequence_id": 167, "annotations": []}
{"role": "student", "content": "3000/100", "session_id": 18078, "sequence_id": 168, "annotations": []}
{"role": "volunteer", "content": "30/150", "session_id": 18078, "sequence_id": 169, "annotations": []}
{"role": "student", "content": "0.2", "session_id": 18078, "sequence_id": 170, "annotations": []}
{"role": "volunteer", "content": "no multiply that number by 100%", "session_id": 18078, "sequence_id": 171, "annotations": []}
{"role": "student", "content": "4500?", "session_id": 18078, "sequence_id": 172, "annotations": []}
{"role": "student", "content": "im confused", "session_id": 18078, "sequence_id": 173, "annotations": []}
{"role": "student", "content": "you said add it at first", "session_id": 18078, "sequence_id": 174, "annotations": []}
{"role": "student", "content": "i asked if we divide first", "session_id": 18078, "sequence_id": 175, "annotations": []}
{"role": "student", "content": "for the 8/22", "session_id": 18078, "sequence_id": 176, "annotations": []}
{"role": "volunteer", "content": "1. find total number of smokers (8+22=30)", "session_id": 18078, "sequence_id": 177, "annotations": []}
{"role": "student", "content": "yes i have 30 times 100", "session_id": 18078, "sequence_id": 178, "annotations": []}
{"role": "student", "content": "=3000", "session_id": 18078, "sequence_id": 179, "annotations": []}
{"role": "volunteer", "content": "2. find total number of people (given: 150)", "session_id": 18078, "sequence_id": 180, "annotations": []}
{"role": "volunteer", "content": "3. divide total number of smokers by total number of people (30/150)", "session_id": 18078, "sequence_id": 181, "annotations": []}
{"role": "student", "content": "oh i see", "session_id": 18078, "sequence_id": 182, "annotations": []}
{"role": "student", "content": "0.2", "session_id": 18078, "sequence_id": 183, "annotations": []}
{"role": "volunteer", "content": "4. multiply by 100% to make a percentage (0.2*100%=20%)", "session_id": 18078, "sequence_id": 184, "annotations": []}
{"role": "student", "content": "20%", "session_id": 18078, "sequence_id": 185, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 18078, "sequence_id": 186, "annotations": []}
{"role": "student", "content": "22+98?", "session_id": 18078, "sequence_id": 187, "annotations": []}
{"role": "volunteer", "content": "no", "session_id": 18078, "sequence_id": 188, "annotations": []}
{"role": "volunteer", "content": "that is do not smoke", "session_id": 18078, "sequence_id": 189, "annotations": []}
{"role": "student", "content": "o", "session_id": 18078, "sequence_id": 190, "annotations": []}
{"role": "volunteer", "content": "oh sorry", "session_id": 18078, "sequence_id": 191, "annotations": []}
{"role": "volunteer", "content": "same numbers", "session_id": 18078, "sequence_id": 192, "annotations": []}
{"role": "volunteer", "content": "yes 22+98", "session_id": 18078, "sequence_id": 193, "annotations": []}
{"role": "student", "content": "ok", "session_id": 18078, "sequence_id": 194, "annotations": []}
{"role": "student", "content": "80%", "session_id": 18078, "sequence_id": 195, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 18078, "sequence_id": 196, "annotations": []}
{"role": "student", "content": "ugh i hate these sm", "session_id": 18078, "sequence_id": 197, "annotations": []}
{"role": "student", "content": "im terrible withthis", "session_id": 18078, "sequence_id": 198, "annotations": []}
{"role": "volunteer", "content": "so first find a percentage", "session_id": 18078, "sequence_id": 199, "annotations": []}
{"role": "student", "content": "i think ik how to solve", "session_id": 18078, "sequence_id": 200, "annotations": []}
{"role": "student", "content": "let me try this one on my own", "session_id": 18078, "sequence_id": 201, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 18078, "sequence_id": 202, "annotations": []}
{"role": "student", "content": "then you can check over it", "session_id": 18078, "sequence_id": 203, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 18078, "sequence_id": 204, "annotations": []}
{"role": "student", "content": "not sure if this is right", "session_id": 18078, "sequence_id": 205, "annotations": []}
{"role": "volunteer", "content": "close", "session_id": 18078, "sequence_id": 206, "annotations": []}
{"role": "student", "content": "hmm ok", "session_id": 18078, "sequence_id": 207, "annotations": []}
{"role": "student", "content": "oh divide by 100", "session_id": 18078, "sequence_id": 208, "annotations": []}
{"role": "volunteer", "content": "make sure you are not multiplyign by percentages", "session_id": 18078, "sequence_id": 209, "annotations": []}
{"role": "volunteer", "content": "yup", "session_id": 18078, "sequence_id": 210, "annotations": []}
{"role": "volunteer", "content": "otherwise it is correct", "session_id": 18078, "sequence_id": 211, "annotations": []}
{"role": "volunteer", "content": "great work", "session_id": 18078, "sequence_id": 212, "annotations": []}
{"role": "student", "content": "i nemed the formula", "session_id": 18078, "sequence_id": 213, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 18078, "sequence_id": 214, "annotations": []}
{"role": "student", "content": "nvm i get it", "session_id": 18078, "sequence_id": 215, "annotations": []}
{"role": "student", "content": "yep", "session_id": 18078, "sequence_id": 216, "annotations": []}
{"role": "student", "content": "2200 for b?", "session_id": 18078, "sequence_id": 217, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 18078, "sequence_id": 218, "annotations": []}
{"role": "student", "content": "ok", "session_id": 18078, "sequence_id": 219, "annotations": []}
{"role": "student", "content": "is this all correct", "session_id": 18078, "sequence_id": 220, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 18078, "sequence_id": 221, "annotations": []}
{"role": "student", "content": "Ok, I need to use th bathroom give me one moment", "session_id": 18078, "sequence_id": 222, "annotations": []}
{"role": "volunteer", "content": "Ok", "session_id": 18078, "sequence_id": 223, "annotations": []}
{"role": "student", "content": "ill past the next one tho in advance", "session_id": 18078, "sequence_id": 224, "annotations": []}
{"role": "student", "content": "will need the formula", "session_id": 18078, "sequence_id": 225, "annotations": []}
{"role": "student", "content": "back", "session_id": 18078, "sequence_id": 226, "annotations": []}
{"role": "student", "content": "oh i remember now", "session_id": 18078, "sequence_id": 227, "annotations": []}
{"role": "student", "content": "nvm this a little diff", "session_id": 18078, "sequence_id": 228, "annotations": []}
{"role": "volunteer", "content": "do you want to give it a try given the formual", "session_id": 18078, "sequence_id": 229, "annotations": []}
{"role": "volunteer", "content": "formula", "session_id": 18078, "sequence_id": 230, "annotations": []}
{"role": "volunteer", "content": "also we are solving for P", "session_id": 18078, "sequence_id": 231, "annotations": []}
{"role": "student", "content": "would you do 0.024/12?", "session_id": 18078, "sequence_id": 232, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 18078, "sequence_id": 233, "annotations": []}
{"role": "student", "content": "kk", "session_id": 18078, "sequence_id": 234, "annotations": []}
{"role": "volunteer", "content": "that would be i", "session_id": 18078, "sequence_id": 235, "annotations": []}
{"role": "volunteer", "content": "now find n", "session_id": 18078, "sequence_id": 236, "annotations": []}
{"role": "volunteer", "content": "TOTAL number of periods", "session_id": 18078, "sequence_id": 237, "annotations": []}
{"role": "student", "content": "ok", "session_id": 18078, "sequence_id": 238, "annotations": []}
{"role": "volunteer", "content": "so how many months in 5 years", "session_id": 18078, "sequence_id": 239, "annotations": []}
{"role": "student", "content": "gonna solve rn", "session_id": 18078, "sequence_id": 240, "annotations": []}
{"role": "volunteer", "content": "yes 60 is correct", "session_id": 18078, "sequence_id": 241, "annotations": []}
{"role": "student", "content": "then divide 0.02 by 1.127?", "session_id": 18078, "sequence_id": 242, "annotations": []}
{"role": "student", "content": "wait no", "session_id": 18078, "sequence_id": 243, "annotations": []}
{"role": "student", "content": "by the FV", "session_id": 18078, "sequence_id": 244, "annotations": []}
{"role": "student", "content": "6209.87654321", "session_id": 18078, "sequence_id": 245, "annotations": []}
{"role": "volunteer", "content": "you skipped some steps", "session_id": 18078, "sequence_id": 246, "annotations": []}
{"role": "student", "content": "o", "session_id": 18078, "sequence_id": 247, "annotations": []}
{"role": "student", "content": "555-123-4567", "session_id": 18078, "sequence_id": 248, "annotations": [{"pii_type": "PHONE_NUMBER", "surrogate": "555-123-4567", "start": 0, "end": 12}]}
{"role": "volunteer", "content": "yes", "session_id": 18078, "sequence_id": 249, "annotations": []}
{"role": "student", "content": "divide?", "session_id": 18078, "sequence_id": 250, "annotations": []}
{"role": "volunteer", "content": "no", "session_id": 18078, "sequence_id": 251, "annotations": []}
{"role": "volunteer", "content": "well yes", "session_id": 18078, "sequence_id": 252, "annotations": []}
{"role": "volunteer", "content": "but you have the division mixed up", "session_id": 18078, "sequence_id": 253, "annotations": []}
{"role": "volunteer", "content": "you divide the 555-987-6543 P", "session_id": 18078, "sequence_id": 254, "annotations": [{"pii_type": "PHONE_NUMBER", "surrogate": "555-987-6543", "start": 15, "end": 27}]}
{"role": "volunteer", "content": "0.127.../7000", "session_id": 18078, "sequence_id": 255, "annotations": []}
{"role": "student", "content": "ok", "session_id": 18078, "sequence_id": 256, "annotations": []}
{"role": "student", "content": "0.0.01814", "session_id": 18078, "sequence_id": 257, "annotations": []}
{"role": "student", "content": "and then what? add it to 1.002?", "session_id": 18078, "sequence_id": 258, "annotations": []}
{"role": "volunteer", "content": "wait sorry", "session_id": 18078, "sequence_id": 259, "annotations": []}
{"role": "student", "content": "its ok", "session_id": 18078, "sequence_id": 260, "annotations": []}
{"role": "volunteer", "content": "you were not supposed to divide by 'n'", "session_id": 18078, "sequence_id": 261, "annotations": []}
{"role": "volunteer", "content": "you were supposed to divide by i", "session_id": 18078, "sequence_id": 262, "annotations": []}
{"role": "student", "content": "u told me to", "session_id": 18078, "sequence_id": 263, "annotations": []}
{"role": "volunteer", "content": "which is 0.002", "session_id": 18078, "sequence_id": 264, "annotations": []}
{"role": "student", "content": "for which", "session_id": 18078, "sequence_id": 265, "annotations": []}
{"role": "volunteer", "content": "i know i am sorry. i saw the i right in front of the variable and thought that it was saying i = 7000", "session_id": 18078, "sequence_id": 266, "annotations": []}
{"role": "student", "content": "can u circle the error", "session_id": 18078, "sequence_id": 267, "annotations": []}
{"role": "student", "content": "ok", "session_id": 18078, "sequence_id": 268, "annotations": []}
{"role": "student", "content": "divide it by 1?", "session_id": 18078, "sequence_id": 269, "annotations": []}
{"role": "volunteer", "content": "no by i", "session_id": 18078, "sequence_id": 270, "annotations": []}
{"role": "volunteer", "content": "0.002", "session_id": 18078, "sequence_id": 271, "annotations": []}
{"role": "student", "content": "ok", "session_id": 18078, "sequence_id": 272, "annotations": []}
{"role": "student", "content": "63.98765432", "session_id": 18078, "sequence_id": 273, "annotations": []}
{"role": "volunteer", "content": "yup", "session_id": 18078, "sequence_id": 274, "annotations": []}
{"role": "student", "content": "63.69?", "session_id": 18078, "sequence_id": 275, "annotations": []}
{"role": "volunteer", "content": "you have one more step", "session_id": 18078, "sequence_id": 276, "annotations": []}
{"role": "volunteer", "content": "solve for p", "session_id": 18078, "sequence_id": 277, "annotations": []}
{"role": "student", "content": "k", "session_id": 18078, "sequence_id": 278, "annotations": []}
{"role": "student", "content": "do i add?", "session_id": 18078, "sequence_id": 279, "annotations": []}
{"role": "volunteer", "content": "no", "session_id": 18078, "sequence_id": 280, "annotations": []}
{"role": "student", "content": "oh multiply", "session_id": 18078, "sequence_id": 281, "annotations": []}
{"role": "volunteer", "content": "no", "session_id": 18078, "sequence_id": 282, "annotations": []}
{"role": "student", "content": "divide?", "session_id": 18078, "sequence_id": 283, "annotations": []}
{"role": "volunteer", "content": "solve for p", "session_id": 18078, "sequence_id": 284, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 18078, "sequence_id": 285, "annotations": []}
{"role": "student", "content": "109.109.92", "session_id": 18078, "sequence_id": 286, "annotations": []}
{"role": "volunteer", "content": "do you see the equation on the board?", "session_id": 18078, "sequence_id": 287, "annotations": []}
{"role": "student", "content": "mhm", "session_id": 18078, "sequence_id": 288, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 18078, "sequence_id": 289, "annotations": []}
{"role": "student", "content": "109.93?", "session_id": 18078, "sequence_id": 290, "annotations": []}
{"role": "volunteer", "content": "your answer is correct", "session_id": 18078, "sequence_id": 291, "annotations": []}
{"role": "student", "content": "it says round", "session_id": 18078, "sequence_id": 292, "annotations": []}
{"role": "student", "content": "thats why i asked", "session_id": 18078, "sequence_id": 293, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 18078, "sequence_id": 294, "annotations": []}
{"role": "student", "content": "ok Okayright?", "session_id": 18078, "sequence_id": 295, "annotations": []}
{"role": "volunteer", "content": "no", "session_id": 18078, "sequence_id": 296, "annotations": []}
{"role": "student", "content": "o", "session_id": 18078, "sequence_id": 297, "annotations": []}
{"role": "volunteer", "content": "rounding does not mean taking the next digit over", "session_id": 18078, "sequence_id": 298, "annotations": []}
{"role": "volunteer", "content": "if the next digit over is 5 or more, then you round up", "session_id": 18078, "sequence_id": 299, "annotations": []}
{"role": "volunteer", "content": "otherwise, you leave it", "session_id": 18078, "sequence_id": 300, "annotations": []}
{"role": "student", "content": "ok", "session_id": 18078, "sequence_id": 301, "annotations": []}
{"role": "student", "content": "i thouht if it was under 5", "session_id": 18078, "sequence_id": 302, "annotations": []}
{"role": "volunteer", "content": "so like 0.923 rounded to the second decimal place it 0.92 but 0.925 rounded to the second decimal place is 0.93", "session_id": 18078, "sequence_id": 303, "annotations": []}
{"role": "volunteer", "content": "no", "session_id": 18078, "sequence_id": 304, "annotations": []}
{"role": "volunteer", "content": "under 5 stays the same", "session_id": 18078, "sequence_id": 305, "annotations": []}
{"role": "volunteer", "content": "over 5 rounds up", "session_id": 18078, "sequence_id": 306, "annotations": []}
{"role": "student", "content": "so it stays at 92?", "session_id": 18078, "sequence_id": 307, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 18078, "sequence_id": 308, "annotations": []}
{"role": "student", "content": "that?", "session_id": 18078, "sequence_id": 309, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 18078, "sequence_id": 310, "annotations": []}
{"role": "student", "content": "so we gotta solve for y?", "session_id": 18078, "sequence_id": 311, "annotations": []}
{"role": "student", "content": "now im stuck on b and c", "session_id": 18078, "sequence_id": 312, "annotations": []}
{"role": "student", "content": "am i doing this right?", "session_id": 18078, "sequence_id": 313, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 18078, "sequence_id": 314, "annotations": []}
{"role": "student", "content": "and then for c", "session_id": 18078, "sequence_id": 315, "annotations": []}
{"role": "volunteer", "content": "find slope", "session_id": 18078, "sequence_id": 316, "annotations": []}
{"role": "volunteer", "content": "which is given in the equation", "session_id": 18078, "sequence_id": 317, "annotations": []}
{"role": "student", "content": "m-0.73", "session_id": 18078, "sequence_id": 318, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 18078, "sequence_id": 319, "annotations": []}
{"role": "volunteer", "content": "but put 0.73 as the answe", "session_id": 18078, "sequence_id": 320, "annotations": []}
{"role": "volunteer", "content": "answer", "session_id": 18078, "sequence_id": 321, "annotations": []}
{"role": "student", "content": "ok", "session_id": 18078, "sequence_id": 322, "annotations": []}
{"role": "volunteer", "content": "I have to go now but you did some great work today and I feel like you made a lot of practice.", "session_id": 18078, "sequence_id": 323, "annotations": []}
{"role": "volunteer", "content": "progress*", "session_id": 18078, "sequence_id": 324, "annotations": []}
{"role": "student", "content": "ok, thank you!", "session_id": 18078, "sequence_id": 325, "annotations": []}
{"role": "volunteer", "content": "bye!!", "session_id": 18078, "sequence_id": 326, "annotations": []}
{"role": "volunteer", "content": "Hello Jordan!", "session_id": 19810, "sequence_id": 0, "annotations": [{"pii_type": "PERSON", "surrogate": "Jordan", "start": 6, "end": 12}]}
{"role": "student", "content": "hi", "session_id": 19810, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "How are you :)", "session_id": 19810, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "good", "session_id": 19810, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "Great!", "session_id": 19810, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "What would you like help with today?", "session_id": 19810, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "checking some of my answers", "session_id": 19810, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "Okay!", "session_id": 19810, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "they are in scientific notation", "session_id": 19810, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "Okay great", "session_id": 19810, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "What are the questions and you answer, and we'll double check the answers together", "session_id": 19810, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "k", "session_id": 19810, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "and my answer was 7.5183 * 10 (exponent -1)", "session_id": 19810, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "The number is 75.183 and your answer was 7.5183*10^-1?", "session_id": 19810, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "ya", "session_id": 19810, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "Okay when do we write a negative exponent", "session_id": 19810, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "when it comes to scienific notation", "session_id": 19810, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "ill show how i did it", "session_id": 19810, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "okay", "session_id": 19810, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "It quite the opposite, Jordan.", "session_id": 19810, "sequence_id": 19, "annotations": [{"pii_type": "PERSON", "surrogate": "Jordan", "start": 23, "end": 29}]}
{"role": "volunteer", "content": "So when we move to the left its postive exponents always", "session_id": 19810, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "oh", "session_id": 19810, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "nd when we move to the rigth its negative", "session_id": 19810, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "so your answer is for this", "session_id": 19810, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "Does that make sense?", "session_id": 19810, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "yep", "session_id": 19810, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "Okay so your answer for 75.183 would be?", "session_id": 19810, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "um 10?", "session_id": 19810, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "0no sorry", "session_id": 19810, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "0.75813", "session_id": 19810, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "yes, and you could write it 10^1, perferably with the exponent", "session_id": 19810, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "Your first answer was right", "session_id": 19810, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "oh oki", "session_id": 19810, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "7.5183 *10^1", "session_id": 19810, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "thats would be the answer", "session_id": 19810, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "remember the scienific notation will only have one number before the decimals", "session_id": 19810, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "okay next question is..", "session_id": 19810, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "want me to write it?", "session_id": 19810, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "Yes!", "session_id": 19810, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "done", "session_id": 19810, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "Okay remember a number smaller than 1 the exponent would be negative, so in this case 10^3 is wrong", "session_id": 19810, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "decimals have negative exponents", "session_id": 19810, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "oh oki", "session_id": 19810, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "and number bigger than one have postive exponent", "session_id": 19810, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "Okay so do you want to try again for 0.0018?", "session_id": 19810, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "yeah gimme a sec", "session_id": 19810, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "Okay :)", "session_id": 19810, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "Do you need a little more help understanding?", "session_id": 19810, "sequence_id": 47, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 19810, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "Okay I will write in the board", "session_id": 19810, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "Do you get it now?", "session_id": 19810, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "so exponent number is determined by how many places we moved and you seem to have a clear understanding", "session_id": 19810, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "if the number is 0. something something the exponent is negative  because we make the number bigger", "session_id": 19810, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "if the number is for example mathlearning.orgmething the exponent is postive because we make the number smaller", "session_id": 19810, "sequence_id": 53, "annotations": [{"pii_type": "URL", "surrogate": "mathlearning.org", "start": 29, "end": 45}]}
{"role": "volunteer", "content": "If you have any questions, please ask! :)", "session_id": 19810, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "Hi Emily, how can I help?", "session_id": 21094, "sequence_id": 0, "annotations": [{"pii_type": "PERSON", "surrogate": "Emily", "start": 3, "end": 8}]}
{"role": "student", "content": "Mr. Clark i need help with a question", "session_id": 21094, "sequence_id": 1, "annotations": [{"pii_type": "PERSON", "surrogate": "Mr. Clark", "start": 0, "end": 9}]}
{"role": "student", "content": "I don't understand this very wel", "session_id": 21094, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "Emily. please allow me a minute to look over it", "session_id": 21094, "sequence_id": 3, "annotations": [{"pii_type": "PERSON", "surrogate": "Emily", "start": 0, "end": 5}]}
{"role": "student", "content": "yeah thats fine", "session_id": 21094, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "we should expand the left side first!", "session_id": 21094, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "can you try that", "session_id": 21094, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "ohh okay", "session_id": 21094, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "is that right?", "session_id": 21094, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "you're getting there but lets try again", "session_id": 21094, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "oh okay", "session_id": 21094, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "can you see what i wrote?", "session_id": 21094, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "ohh my fault i didn't scroll down", "session_id": 21094, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "it's like how a^2 = a*a", "session_id": 21094, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "yeah i can see it now", "session_id": 21094, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "o no i just wrote it!", "session_id": 21094, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "ohh okay", "session_id": 21094, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "can you try expanding that", "session_id": 21094, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "okay", "session_id": 21094, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "is it 16x?", "session_id": 21094, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "double check that please", "session_id": 21094, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "oh okay", "session_id": 21094, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "Good job!", "session_id": 21094, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "soryy i get it now", "session_id": 21094, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "ok so now you should try moving all terms to one side", "session_id": 21094, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "and simplify it", "session_id": 21094, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "im sorry i got stuck", "session_id": 21094, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "can u tell me where i got stuck pls?", "session_id": 21094, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "you did correct!", "session_id": 21094, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "good job", "session_id": 21094, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "so here", "session_id": 21094, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "oh i did?", "session_id": 21094, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "we can move the 28x to the left side", "session_id": 21094, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "when you move something to the other side, make sure to change their sign", "session_id": 21094, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "so + becomes - and vice versa", "session_id": 21094, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "y is this eqation so long", "session_id": 21094, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "haha sorry its ok though!", "session_id": 21094, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "we got this!", "session_id": 21094, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "so so far we have 16x^2 + 6 - 28x = 0, yeah?", "session_id": 21094, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "nah its not your fault its all good", "session_id": 21094, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 21094, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "what can we do to further simplify it", "session_id": 21094, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "is 6 divisible by 4?", "session_id": 21094, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "oh nvm", "session_id": 21094, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "you're very close!!", "session_id": 21094, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "smaller", "session_id": 21094, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "good job!", "session_id": 21094, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "you can definitely do 4 too it's just going to be a fraction which can make our calculations more complicated later on. so we try to stick with integers to be as simple as possible!", "session_id": 21094, "sequence_id": 47, "annotations": []}
{"role": "student", "content": "oohh okay", "session_id": 21094, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "good job", "session_id": 21094, "sequence_id": 49, "annotations": []}
{"role": "student", "content": "https://math.com/problem_imageMr. Clark", "session_id": 21094, "sequence_id": 50, "annotations": [{"pii_type": "URL", "surrogate": "https://math.com/problem_image", "start": 0, "end": 30}, {"pii_type": "PERSON", "surrogate": "Mr. Clark", "start": 30, "end": 39}]}
{"role": "volunteer", "content": "now remember the quadratic formula", "session_id": 21094, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "aw haha it just gave me the option to use confetti so I figured why not", "session_id": 21094, "sequence_id": 52, "annotations": []}
{"role": "student", "content": "ooohh coooll", "session_id": 21094, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "here we can use the quadratic formula to solve for x", "session_id": 21094, "sequence_id": 54, "annotations": []}
{"role": "student", "content": "whats that", "session_id": 21094, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "ah im sorry i guess you havent learn it, thats ok. we can factor it to solve for x!", "session_id": 21094, "sequence_id": 56, "annotations": []}
{"role": "student", "content": "i feel like ive heard it before but i think cause like were in summer right now i probably forgot", "session_id": 21094, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "i just wrote it in blue", "session_id": 21094, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "are you familiar with it?", "session_id": 21094, "sequence_id": 59, "annotations": []}
{"role": "student", "content": "nope", "session_id": 21094, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "ah okie then ignore it!", "session_id": 21094, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "lets just factor it", "session_id": 21094, "sequence_id": 62, "annotations": []}
{"role": "student", "content": "okk", "session_id": 21094, "sequence_id": 63, "annotations": []}
{"role": "student", "content": "is that right?", "session_id": 21094, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "hmm you get the idea", "session_id": 21094, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "double check though@", "session_id": 21094, "sequence_id": 66, "annotations": []}
{"role": "student", "content": "..i can't findit", "session_id": 21094, "sequence_id": 67, "annotations": []}
{"role": "student", "content": "I know the 8x-7 is wrong, but how do i fix that", "session_id": 21094, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "ok so i wrote something in blue", "session_id": 21094, "sequence_id": 69, "annotations": []}
{"role": "student", "content": "ohh my fault i multiplied b with a instead of c with a", "session_id": 21094, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "we need 2 terms that multiply to give -112 and add to -14", "session_id": 21094, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "o haha yeah", "session_id": 21094, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "fix that and we should be good!", "session_id": 21094, "sequence_id": 73, "annotations": []}
{"role": "student", "content": "okk", "session_id": 21094, "sequence_id": 74, "annotations": []}
{"role": "student", "content": "oh wait", "session_id": 21094, "sequence_id": 75, "annotations": []}
{"role": "student", "content": "isnt -112 supposed to be 24?", "session_id": 21094, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "i think youre right", "session_id": 21094, "sequence_id": 77, "annotations": []}
{"role": "student", "content": "cause you would multiply 8 with 3 for a times c", "session_id": 21094, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "im not too familiar with that cross method thing", "session_id": 21094, "sequence_id": 79, "annotations": []}
{"role": "student", "content": "ohh okay dw about it", "session_id": 21094, "sequence_id": 80, "annotations": []}
{"role": "volunteer", "content": "i kind of just do it my way", "session_id": 21094, "sequence_id": 81, "annotations": []}
{"role": "student", "content": "Oakwood", "session_id": 21094, "sequence_id": 82, "annotations": [{"pii_type": "LOCATION", "surrogate": "Oakwood", "start": 0, "end": 7}]}
{"role": "student", "content": "lets just see if i get the same anser then", "session_id": 21094, "sequence_id": 83, "annotations": []}
{"role": "volunteer", "content": "Emily", "session_id": 21094, "sequence_id": 84, "annotations": [{"pii_type": "PERSON", "surrogate": "Emily", "start": 0, "end": 5}]}
{"role": "volunteer", "content": "i have my answer", "session_id": 21094, "sequence_id": 85, "annotations": []}
{"role": "student", "content": "im just gonna do this on papter if thats fine cause its hard tryna write with my mouse", "session_id": 21094, "sequence_id": 86, "annotations": []}
{"role": "volunteer", "content": "yeah plaese do!", "session_id": 21094, "sequence_id": 87, "annotations": []}
{"role": "volunteer", "content": "yes!!", "session_id": 21094, "sequence_id": 88, "annotations": []}
{"role": "volunteer", "content": "good job!!", "session_id": 21094, "sequence_id": 89, "annotations": []}
{"role": "student", "content": "oh yay", "session_id": 21094, "sequence_id": 90, "annotations": []}
{"role": "student", "content": "thank youuu", "session_id": 21094, "sequence_id": 91, "annotations": []}
{"role": "volunteer", "content": "now we can solve for x easily!", "session_id": 21094, "sequence_id": 92, "annotations": []}
{"role": "student", "content": "oh okay", "session_id": 21094, "sequence_id": 93, "annotations": []}
{"role": "student", "content": "How do we do that", "session_id": 21094, "sequence_id": 94, "annotations": []}
{"role": "volunteer", "content": "a*b = 0 then a=0 or b=0 right?", "session_id": 21094, "sequence_id": 95, "annotations": []}
{"role": "student", "content": "yes?", "session_id": 21094, "sequence_id": 96, "annotations": []}
{"role": "volunteer", "content": "so in our case 2x-3 = 0 or 4x-1 = 0", "session_id": 21094, "sequence_id": 97, "annotations": []}
{"role": "volunteer", "content": "that is one of the solutions!", "session_id": 21094, "sequence_id": 98, "annotations": []}
{"role": "volunteer", "content": "there's one more", "session_id": 21094, "sequence_id": 99, "annotations": []}
{"role": "volunteer", "content": "good job!", "session_id": 21094, "sequence_id": 100, "annotations": []}
{"role": "student", "content": "oh thanks!", "session_id": 21094, "sequence_id": 101, "annotations": []}
{"role": "volunteer", "content": "either x=1.5 or x=1/4", "session_id": 21094, "sequence_id": 102, "annotations": []}
{"role": "student", "content": "are they the same?", "session_id": 21094, "sequence_id": 103, "annotations": []}
{"role": "volunteer", "content": "they're not the same", "session_id": 21094, "sequence_id": 104, "annotations": []}
{"role": "student", "content": "oh cause for my equation, i can only put in one anser", "session_id": 21094, "sequence_id": 105, "annotations": []}
{"role": "student", "content": "answer", "session_id": 21094, "sequence_id": 106, "annotations": []}
{"role": "volunteer", "content": "ah yeah you can put in either!", "session_id": 21094, "sequence_id": 107, "annotations": []}
{"role": "volunteer", "content": "sorry i misunderstood your qeustion!", "session_id": 21094, "sequence_id": 108, "annotations": []}
{"role": "student", "content": "ohh okay", "session_id": 21094, "sequence_id": 109, "annotations": []}
{"role": "student", "content": "nah its all goo", "session_id": 21094, "sequence_id": 110, "annotations": []}
{"role": "student", "content": "good", "session_id": 21094, "sequence_id": 111, "annotations": []}
{"role": "student", "content": "alrr thank you!!", "session_id": 21094, "sequence_id": 112, "annotations": []}
{"role": "volunteer", "content": "have a good day! glad i could help! :)", "session_id": 21094, "sequence_id": 113, "annotations": []}
{"role": "student", "content": "Hey", "session_id": 80, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "hello Jamie!", "session_id": 80, "sequence_id": 1, "annotations": [{"pii_type": "PERSON", "surrogate": "Jamie", "start": 6, "end": 11}]}
{"role": "volunteer", "content": "what do u need help with today", "session_id": 80, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "I think ACB is congruent to ECD no\u2019", "session_id": 80, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "No its DCE", "session_id": 80, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "okay lets break this down step by step", "session_id": 80, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "we know we are comparing triangle ACB to triangle ECD", "session_id": 80, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "and they meet at point C", "session_id": 80, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "Now lets look at angle ACB and angle ECD", "session_id": 80, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "Line AC and CD are on the same straight line and Line BC and CE are also on the same straight line", "session_id": 80, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "That means these two angles are vertical angles, so they\u2019re congruent", "session_id": 80, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "Yeah so it\u2019s DCE", "session_id": 80, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "yea", "session_id": 80, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "way to go!", "session_id": 80, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "now lets set up the proportions", "session_id": 80, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "Ok ACB congruent to DCE and then CE/ CB and DC/AC", "session_id": 80, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "ABC DEC", "session_id": 80, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "okay yes ACB is congruent to DCE", "session_id": 80, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "however CE doesn't go over CB", "session_id": 80, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "omg wait im so sorry, it does I just mixed it up", "session_id": 80, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "everything you have told me is all correct", "session_id": 80, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "Ok thank u", "session_id": 80, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "you understood this question completely way to go!!!!", "session_id": 80, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "HELLO", "session_id": 80, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "Oops caps", "session_id": 80, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "Hi Alice!", "session_id": 3759, "sequence_id": 0, "annotations": [{"pii_type": "PERSON", "surrogate": "Alice", "start": 3, "end": 8}]}
{"role": "volunteer", "content": "How are you today?", "session_id": 3759, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "Good how about you?", "session_id": 3759, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "I'm doing well! Thank you for asking!", "session_id": 3759, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "How can I help today?", "session_id": 3759, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "I wanted to go over this question that I don't feel like it makes sense.", "session_id": 3759, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "Okay! Let us take a look at the problem!", "session_id": 3759, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "Do you have a guess Alice? Or any answers you can eliminate right away?", "session_id": 3759, "sequence_id": 7, "annotations": [{"pii_type": "PERSON", "surrogate": "Alice", "start": 20, "end": 25}]}
{"role": "student", "content": "We can eliminate the last 2", "session_id": 3759, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "Yup! Great work!", "session_id": 3759, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "Let's work to see if the other 2 are correct", "session_id": 3759, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "How would you test these expressions to see if they are the same Alice?", "session_id": 3759, "sequence_id": 11, "annotations": [{"pii_type": "PERSON", "surrogate": "Alice", "start": 65, "end": 70}]}
{"role": "student", "content": "I know the second is correct since the placement is flipped but I'm not sure about the 1st one", "session_id": 3759, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "Okay! Should we try multiplying it out to test it?", "session_id": 3759, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "Yea we can do that", "session_id": 3759, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "Sounds great! For the equation 6(r+7) how could we break it down?", "session_id": 3759, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "since the PEMDAS rule is parentheses 1st we do that?", "session_id": 3759, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "YES!", "session_id": 3759, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "With that in mind, what is the first step?", "session_id": 3759, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "it would be 7+r which would be 7r? and times 6 would make it 42r unless we reorder it?", "session_id": 3759, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "Close Alice!", "session_id": 3759, "sequence_id": 20, "annotations": [{"pii_type": "PERSON", "surrogate": "Alice", "start": 6, "end": 11}]}
{"role": "volunteer", "content": "In this case, because 7 and r are not the same expression you cannot add them together.", "session_id": 3759, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "If in the parentheses it were 7r + r, yes, that would be correct to add them to 8r", "session_id": 3759, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "Oh", "session_id": 3759, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "Does that make sense Alice?", "session_id": 3759, "sequence_id": 24, "annotations": [{"pii_type": "PERSON", "surrogate": "Alice", "start": 21, "end": 26}]}
{"role": "student", "content": "Yea it does", "session_id": 3759, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "Okay great!", "session_id": 3759, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "With that in mind, the rest of your steps were correct! What would then be the next step?", "session_id": 3759, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "Uh I don't know the next steps I'm sorryyy", "session_id": 3759, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "Oh it is okay no need to apologize!", "session_id": 3759, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "You were right to multiply!", "session_id": 3759, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "What would we multiply here Alice?", "session_id": 3759, "sequence_id": 31, "annotations": [{"pii_type": "PERSON", "surrogate": "Alice", "start": 28, "end": 33}]}
{"role": "student", "content": "6 and 7?", "session_id": 3759, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "That's right!", "session_id": 3759, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "Is there anything else that you multiply?]", "session_id": 3759, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "r?", "session_id": 3759, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "Yessss!", "session_id": 3759, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "In this expression, if there is a value outside of a set of parentheses, you would multiply everything inside by that value!", "session_id": 3759, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "6 x 7 would be 42", "session_id": 3759, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "There we go!", "session_id": 3759, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "And 6 * r?", "session_id": 3759, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "6r?", "session_id": 3759, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "Bingo!", "session_id": 3759, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "That is the final expression!", "session_id": 3759, "sequence_id": 43, "annotations": []}
{"role": "student", "content": "So it would make the 1st expression correct?", "session_id": 3759, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "Yup! That is right!", "session_id": 3759, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "They are the same (or equivalent)", "session_id": 3759, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "Oh", "session_id": 3759, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "What's up Alice?", "session_id": 3759, "sequence_id": 48, "annotations": [{"pii_type": "PERSON", "surrogate": "Alice", "start": 10, "end": 15}]}
{"role": "volunteer", "content": "Are you a little confused still?", "session_id": 3759, "sequence_id": 49, "annotations": []}
{"role": "student", "content": "No I get it", "session_id": 3759, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "Oh okay", "session_id": 3759, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "Did you need any more help Alice?", "session_id": 3759, "sequence_id": 52, "annotations": [{"pii_type": "PERSON", "surrogate": "Alice", "start": 27, "end": 32}]}
{"role": "volunteer", "content": "Or another problem to do?", "session_id": 3759, "sequence_id": 53, "annotations": []}
{"role": "student", "content": "Can we do another problem?", "session_id": 3759, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "Of course we can!", "session_id": 3759, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "Can I clear the board now ?", "session_id": 3759, "sequence_id": 56, "annotations": []}
{"role": "student", "content": "yeaa", "session_id": 3759, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "Alrighty! Let's do this one", "session_id": 3759, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "Are there any that you know are correct or are wrong?", "session_id": 3759, "sequence_id": 59, "annotations": []}
{"role": "student", "content": "I would think the 3rd option is incorrect?", "session_id": 3759, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "Okay!", "session_id": 3759, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "Let us try it out", "session_id": 3759, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "How would you expand 7(f+1)?", "session_id": 3759, "sequence_id": 63, "annotations": []}
{"role": "student", "content": "uh 7*f and 7*1?", "session_id": 3759, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "Yessss!", "session_id": 3759, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "So what is 7 * f? and 7 * 1?", "session_id": 3759, "sequence_id": 66, "annotations": []}
{"role": "student", "content": "like that?", "session_id": 3759, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "YESSSSSSSSSSSSSSSSS!", "session_id": 3759, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "Now that we know that, let's combine them together since they are being added!", "session_id": 3759, "sequence_id": 69, "annotations": []}
{"role": "student", "content": "okayy wait you can add a number with a variable and a number without one?", "session_id": 3759, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "Oh sorry Alice that was not what I meant. I just wanted you to write out the final expression.", "session_id": 3759, "sequence_id": 71, "annotations": [{"pii_type": "PERSON", "surrogate": "Alice", "start": 9, "end": 14}]}
{"role": "volunteer", "content": "But yes you are correct! You cannot add a number with a variable to a number without one!", "session_id": 3759, "sequence_id": 72, "annotations": []}
{"role": "student", "content": "Oh that's okayy", "session_id": 3759, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "Hahah okay with that in mind, is 7f + 7 equivalent to 7(f+1)?", "session_id": 3759, "sequence_id": 74, "annotations": []}
{"role": "student", "content": "ye", "session_id": 3759, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "Yesss!", "session_id": 3759, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "How about the other expressions?", "session_id": 3759, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "Are they equal?", "session_id": 3759, "sequence_id": 78, "annotations": []}
{"role": "student", "content": "yea I would think so since they're flipped around?", "session_id": 3759, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "Yesssssss! There we go!", "session_id": 3759, "sequence_id": 80, "annotations": []}
{"role": "student", "content": "yayyy", "session_id": 3759, "sequence_id": 81, "annotations": []}
{"role": "volunteer", "content": "How about it Alice? How confident are we feeling with these problems now?", "session_id": 3759, "sequence_id": 82, "annotations": [{"pii_type": "PERSON", "surrogate": "Alice", "start": 13, "end": 18}]}
{"role": "student", "content": "I got to go but it was fun working these problems out with u and I hope you have the best day ever! And yea I'm feeling more confident than I was at the start.", "session_id": 3759, "sequence_id": 83, "annotations": []}
{"role": "volunteer", "content": "Sounds great Alice! Take care! I'm glad I could help!", "session_id": 3759, "sequence_id": 84, "annotations": [{"pii_type": "PERSON", "surrogate": "Alice", "start": 13, "end": 18}]}
{"role": "student", "content": "You too and stay safe!", "session_id": 3759, "sequence_id": 85, "annotations": []}
{"role": "volunteer", "content": "Likewise!", "session_id": 3759, "sequence_id": 86, "annotations": []}
{"role": "student", "content": "BYEEEE!!!!!", "session_id": 3759, "sequence_id": 87, "annotations": []}
{"role": "volunteer", "content": "BYEEE!", "session_id": 3759, "sequence_id": 88, "annotations": []}
{"role": "volunteer", "content": "hi Maya!", "session_id": 8084, "sequence_id": 0, "annotations": [{"pii_type": "PERSON", "surrogate": "Maya", "start": 3, "end": 7}]}
{"role": "student", "content": "h-llo", "session_id": 8084, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "how can i help you today?", "session_id": 8084, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "i need help wit math", "session_id": 8084, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "with*", "session_id": 8084, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "ok! what specifics do you need help with?", "session_id": 8084, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "math", "session_id": 8084, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "scale drawlings", "session_id": 8084, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "ok! do you want to paste the question on the board?", "session_id": 8084, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "i'll put a picture", "session_id": 8084, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 8084, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "srry if the words are a bit blurry", "session_id": 8084, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "it's complicated", "session_id": 8084, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "its ok! which problem would you like help on?", "session_id": 8084, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "the 1st", "session_id": 8084, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "then i can try to figure the rest out", "session_id": 8084, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "ok! perfect", "session_id": 8084, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "so do you know how to do this at all? any knowledge?", "session_id": 8084, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "no sir", "session_id": 8084, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "do you know what a ratio is?", "session_id": 8084, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "how many times 1 number contains another", "session_id": 8084, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "yeah! ok", "session_id": 8084, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "and what about significant figueres? do you know what that means?", "session_id": 8084, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "nope", "session_id": 8084, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "yeah! 4:3 is an example of a ratio", "session_id": 8084, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "a significant figure is a set of two figures that are the EXACT SAME SHAPE just with different lengths that have the SAME ratios", "session_id": 8084, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "here, it'll make sense with the first question", "session_id": 8084, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "ooooh", "session_id": 8084, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "like in this case smaller or bigger?", "session_id": 8084, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "wait", "session_id": 8084, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "yeah! so basically, to know if two figures are significant figures, then you have to find the ratio of all the sides", "session_id": 8084, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "what is the ratio between these two sides?", "session_id": 8084, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "wait ima clear the board for a sec", "session_id": 8084, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 8084, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "there", "session_id": 8084, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "srry", "session_id": 8084, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "ok its fine! dont worry", "session_id": 8084, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 8084, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "do you know how to make the ratio between these two sides?", "session_id": 8084, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "yeah i TOTALLY do", "session_id": 8084, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "LOLLL", "session_id": 8084, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "its ok", "session_id": 8084, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "i have no clue", "session_id": 8084, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "so to make the ratio, we just use the length of the first side and the length of the second side with the sign in between", "session_id": 8084, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "so the ratio for this would be 1:2", "session_id": 8084, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "does that make sense?", "session_id": 8084, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "Springfield?", "session_id": 8084, "sequence_id": 46, "annotations": [{"pii_type": "LOCATION", "surrogate": "Springfield", "start": 0, "end": 11}]}
{"role": "volunteer", "content": "no?", "session_id": 8084, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "if not thats ok", "session_id": 8084, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "im not very bright", "session_id": 8084, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "dont say that!", "session_id": 8084, "sequence_id": 50, "annotations": []}
{"role": "student", "content": "but ill try to follow along", "session_id": 8084, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "you're very smart", "session_id": 8084, "sequence_id": 52, "annotations": []}
{"role": "student", "content": "in this type of math!", "session_id": 8084, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "i have trust in you", "session_id": 8084, "sequence_id": 54, "annotations": []}
{"role": "student", "content": "lol", "session_id": 8084, "sequence_id": 55, "annotations": []}
{"role": "student", "content": "thxs", "session_id": 8084, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "of course :D", "session_id": 8084, "sequence_id": 57, "annotations": []}
{"role": "student", "content": "i have trust in you that you'll teach me good", "session_id": 8084, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "i got you", "session_id": 8084, "sequence_id": 59, "annotations": []}
{"role": "student", "content": "so sides j and z are the same ratio or no?", "session_id": 8084, "sequence_id": 60, "annotations": []}
{"role": "student", "content": "like just smaller", "session_id": 8084, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "oops sorry thats supposed to be a 1 and a 2", "session_id": 8084, "sequence_id": 62, "annotations": []}
{"role": "student", "content": "oh srry lol", "session_id": 8084, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "its ok", "session_id": 8084, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "i realized it looks distorted lol", "session_id": 8084, "sequence_id": 65, "annotations": []}
{"role": "student", "content": "lol", "session_id": 8084, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "ok so now that it looks like a 1 and a 2, does the ratio part make sense?", "session_id": 8084, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "ok take a guess, what would be the ratio for this side?", "session_id": 8084, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "the blue", "session_id": 8084, "sequence_id": 69, "annotations": []}
{"role": "student", "content": "1:2?", "session_id": 8084, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "yep!", "session_id": 8084, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "and the last one?", "session_id": 8084, "sequence_id": 72, "annotations": []}
{"role": "student", "content": "1:2 lol", "session_id": 8084, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "yesss", "session_id": 8084, "sequence_id": 74, "annotations": []}
{"role": "volunteer", "content": "so basically", "session_id": 8084, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "what this means", "session_id": 8084, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "(since all the ratios are the same) these figures are significant figures", "session_id": 8084, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "each side has all the same ratio, meaning the sides align correctly when the figure gets bigger", "session_id": 8084, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "do you want to work on another problem to see it if will make sense another way?", "session_id": 8084, "sequence_id": 79, "annotations": []}
{"role": "student", "content": "if the aren't would that make them insignificant?", "session_id": 8084, "sequence_id": 80, "annotations": []}
{"role": "volunteer", "content": "yeah!", "session_id": 8084, "sequence_id": 81, "annotations": []}
{"role": "student", "content": "oh ok", "session_id": 8084, "sequence_id": 82, "annotations": []}
{"role": "volunteer", "content": "lets say one of the ratios was 1:4 instead of 1:2, then the figures wouldn't be significant", "session_id": 8084, "sequence_id": 83, "annotations": []}
{"role": "student", "content": "my sister keeps saying mr. Thompson lol", "session_id": 8084, "sequence_id": 84, "annotations": [{"pii_type": "PERSON", "surrogate": "Thompson", "start": 27, "end": 35}]}
{"role": "volunteer", "content": "lol ok", "session_id": 8084, "sequence_id": 85, "annotations": []}
{"role": "volunteer", "content": "but also remember with ratios, if you have a ratio of 2:4, that's the same thing as a ratio of 1:2", "session_id": 8084, "sequence_id": 86, "annotations": []}
{"role": "student", "content": "oh ok", "session_id": 8084, "sequence_id": 87, "annotations": []}
{"role": "volunteer", "content": "think of fractions and the smallest it can be, its the same with ratios", "session_id": 8084, "sequence_id": 88, "annotations": []}
{"role": "volunteer", "content": "does that make sense?", "session_id": 8084, "sequence_id": 89, "annotations": []}
{"role": "student", "content": "would a ratio be like that number times the other", "session_id": 8084, "sequence_id": 90, "annotations": []}
{"role": "student", "content": "(that probably didn't make sense)", "session_id": 8084, "sequence_id": 91, "annotations": []}
{"role": "volunteer", "content": "not necessarily", "session_id": 8084, "sequence_id": 92, "annotations": []}
{"role": "volunteer", "content": "no i get what your saying", "session_id": 8084, "sequence_id": 93, "annotations": []}
{"role": "student", "content": "like if it's 1:2 would it be like 1x2?", "session_id": 8084, "sequence_id": 94, "annotations": []}
{"role": "volunteer", "content": "not exactly", "session_id": 8084, "sequence_id": 95, "annotations": []}
{"role": "student", "content": "oh ok", "session_id": 8084, "sequence_id": 96, "annotations": []}
{"role": "volunteer", "content": "what you would use to multiply is the fraction the ratio creates", "session_id": 8084, "sequence_id": 97, "annotations": []}
{"role": "student", "content": "like 1/2", "session_id": 8084, "sequence_id": 98, "annotations": []}
{"role": "student", "content": "is that a fraction?", "session_id": 8084, "sequence_id": 99, "annotations": []}
{"role": "student", "content": "1:2then 1/2 then 1x2?", "session_id": 8084, "sequence_id": 100, "annotations": []}
{"role": "volunteer", "content": "so the fraction form of the ratio 1:2 is 2, so you would multiply the first figures dimensions by 2 to get the second figure dimensions", "session_id": 8084, "sequence_id": 101, "annotations": []}
{"role": "student", "content": "i was so off lol", "session_id": 8084, "sequence_id": 102, "annotations": []}
{"role": "volunteer", "content": "but sometimes the order of the ratio can be messed up, so just make sure you know if youre making ur figure smaller or larger", "session_id": 8084, "sequence_id": 103, "annotations": []}
{"role": "volunteer", "content": "its ok dont worry, its a learning process lol", "session_id": 8084, "sequence_id": 104, "annotations": []}
{"role": "student", "content": "lol", "session_id": 8084, "sequence_id": 105, "annotations": []}
{"role": "student", "content": "so it all depends on the size?", "session_id": 8084, "sequence_id": 106, "annotations": []}
{"role": "volunteer", "content": "so if ur making ur figure smaller, then your multiplication number will be a number less than 1, but if ur making it bigger, then it should be a number larger than 1", "session_id": 8084, "sequence_id": 107, "annotations": []}
{"role": "volunteer", "content": "does that make sense?", "session_id": 8084, "sequence_id": 108, "annotations": []}
{"role": "student", "content": "yesss", "session_id": 8084, "sequence_id": 109, "annotations": []}
{"role": "volunteer", "content": "yayyy!", "session_id": 8084, "sequence_id": 110, "annotations": []}
{"role": "student", "content": "so if i have smething like that if on 1 side it's 1 and on the other shape it's 2 like this would that make a ratio?", "session_id": 8084, "sequence_id": 111, "annotations": []}
{"role": "student", "content": "something*", "session_id": 8084, "sequence_id": 112, "annotations": []}
{"role": "volunteer", "content": "yeah, but make sure that the sides correspond to each other", "session_id": 8084, "sequence_id": 113, "annotations": []}
{"role": "volunteer", "content": "here ill draw something that might help", "session_id": 8084, "sequence_id": 114, "annotations": []}
{"role": "volunteer", "content": "ok so the color coded parts are the sides that match", "session_id": 8084, "sequence_id": 115, "annotations": []}
{"role": "volunteer", "content": "the two sides the arrows are pointing at do NOT MATCH", "session_id": 8084, "sequence_id": 116, "annotations": []}
{"role": "student", "content": "so wait ima ruin the drawling wit my math for a sec ok?", "session_id": 8084, "sequence_id": 117, "annotations": []}
{"role": "volunteer", "content": "so you wouldn't make a ratio out of the lengths of those two", "session_id": 8084, "sequence_id": 118, "annotations": []}
{"role": "volunteer", "content": "ok!", "session_id": 8084, "sequence_id": 119, "annotations": []}
{"role": "student", "content": "would that be 1:3", "session_id": 8084, "sequence_id": 120, "annotations": []}
{"role": "volunteer", "content": "yep!!!", "session_id": 8084, "sequence_id": 121, "annotations": []}
{"role": "volunteer", "content": "now i want to add something", "session_id": 8084, "sequence_id": 122, "annotations": []}
{"role": "student", "content": "ooooh ok", "session_id": 8084, "sequence_id": 123, "annotations": []}
{"role": "volunteer", "content": "what is this ratio?", "session_id": 8084, "sequence_id": 124, "annotations": []}
{"role": "student", "content": "\"i understand it now!!!!\"", "session_id": 8084, "sequence_id": 125, "annotations": []}
{"role": "volunteer", "content": "YAYY!", "session_id": 8084, "sequence_id": 126, "annotations": []}
{"role": "student", "content": "2:6", "session_id": 8084, "sequence_id": 127, "annotations": []}
{"role": "student", "content": "?", "session_id": 8084, "sequence_id": 128, "annotations": []}
{"role": "volunteer", "content": "yep! but can that be simplified any further?", "session_id": 8084, "sequence_id": 129, "annotations": []}
{"role": "student", "content": "thats what i was gonna ask lol", "session_id": 8084, "sequence_id": 130, "annotations": []}
{"role": "volunteer", "content": "(can both 2 and 6 be divided by 2?)", "session_id": 8084, "sequence_id": 131, "annotations": []}
{"role": "volunteer", "content": "lol", "session_id": 8084, "sequence_id": 132, "annotations": []}
{"role": "student", "content": "ya", "session_id": 8084, "sequence_id": 133, "annotations": []}
{"role": "student", "content": "?", "session_id": 8084, "sequence_id": 134, "annotations": []}
{"role": "volunteer", "content": "so, divide both numbers by 2 and what do you get?", "session_id": 8084, "sequence_id": 135, "annotations": []}
{"role": "student", "content": "for 2 1, and 6 3?", "session_id": 8084, "sequence_id": 136, "annotations": []}
{"role": "student", "content": "2,1 and 6,3?", "session_id": 8084, "sequence_id": 137, "annotations": []}
{"role": "student", "content": "its connfusing to write", "session_id": 8084, "sequence_id": 138, "annotations": []}
{"role": "volunteer", "content": "careful! we dont want to make ratios on the same figure, we want to make ratios from the opposite figures", "session_id": 8084, "sequence_id": 139, "annotations": []}
{"role": "student", "content": "oooooohh", "session_id": 8084, "sequence_id": 140, "annotations": []}
{"role": "volunteer", "content": "so the ratios for this would be 1:3 for the blue side, 1:3 on the green side (2:6 simplified is 1:3), and 3:7 on the pink side", "session_id": 8084, "sequence_id": 141, "annotations": []}
{"role": "volunteer", "content": "does that make sense?", "session_id": 8084, "sequence_id": 142, "annotations": []}
{"role": "student", "content": "oh  yea now it does", "session_id": 8084, "sequence_id": 143, "annotations": []}
{"role": "volunteer", "content": "yay!", "session_id": 8084, "sequence_id": 144, "annotations": []}
{"role": "volunteer", "content": "and since not all the ratios are the same, then... (is this figure significant or not significant to the other one?)", "session_id": 8084, "sequence_id": 145, "annotations": []}
{"role": "student", "content": "not?", "session_id": 8084, "sequence_id": 146, "annotations": []}
{"role": "volunteer", "content": "yep!!!!", "session_id": 8084, "sequence_id": 147, "annotations": []}
{"role": "volunteer", "content": "correct!", "session_id": 8084, "sequence_id": 148, "annotations": []}
{"role": "student", "content": "i jus guesed lol", "session_id": 8084, "sequence_id": 149, "annotations": []}
{"role": "volunteer", "content": "i mean, its right", "session_id": 8084, "sequence_id": 150, "annotations": []}
{"role": "student", "content": "i thought if the first was significant", "session_id": 8084, "sequence_id": 151, "annotations": []}
{"role": "student", "content": "this MUST be insignificant", "session_id": 8084, "sequence_id": 152, "annotations": []}
{"role": "student", "content": "he won't do the same one right?", "session_id": 8084, "sequence_id": 153, "annotations": []}
{"role": "volunteer", "content": "at first it was because the ratios of two sides were the same, but since the last ratio is different from the others, then its not", "session_id": 8084, "sequence_id": 154, "annotations": []}
{"role": "volunteer", "content": "what do you mean?", "session_id": 8084, "sequence_id": 155, "annotations": []}
{"role": "student", "content": "idk", "session_id": 8084, "sequence_id": 156, "annotations": []}
{"role": "volunteer", "content": "what do you mean he wont do the same one?", "session_id": 8084, "sequence_id": 157, "annotations": []}
{"role": "student", "content": "nvm", "session_id": 8084, "sequence_id": 158, "annotations": []}
{"role": "volunteer", "content": "lol its ok", "session_id": 8084, "sequence_id": 159, "annotations": []}
{"role": "volunteer", "content": "do you understand some of the topic now?", "session_id": 8084, "sequence_id": 160, "annotations": []}
{"role": "student", "content": "i have anothda one", "session_id": 8084, "sequence_id": 161, "annotations": []}
{"role": "volunteer", "content": "ok!", "session_id": 8084, "sequence_id": 162, "annotations": []}
{"role": "student", "content": "and a little", "session_id": 8084, "sequence_id": 163, "annotations": []}
{"role": "volunteer", "content": "have to go soon because my school is about to end, but i can help a little!", "session_id": 8084, "sequence_id": 164, "annotations": []}
{"role": "volunteer", "content": "lets see what we can do", "session_id": 8084, "sequence_id": 165, "annotations": []}
{"role": "student", "content": "o-k!", "session_id": 8084, "sequence_id": 166, "annotations": []}
{"role": "volunteer", "content": "ok! lets do this", "session_id": 8084, "sequence_id": 167, "annotations": []}
{"role": "volunteer", "content": "what is the ratio for this side?", "session_id": 8084, "sequence_id": 168, "annotations": []}
{"role": "student", "content": "srry was getting a bite to eat and checking if my dad was home", "session_id": 8084, "sequence_id": 169, "annotations": []}
{"role": "volunteer", "content": "its ok!", "session_id": 8084, "sequence_id": 170, "annotations": []}
{"role": "student", "content": "15:1?", "session_id": 8084, "sequence_id": 171, "annotations": []}
{"role": "volunteer", "content": "yep!", "session_id": 8084, "sequence_id": 172, "annotations": []}
{"role": "volunteer", "content": "what about this side?", "session_id": 8084, "sequence_id": 173, "annotations": []}
{"role": "student", "content": "2:1.5?", "session_id": 8084, "sequence_id": 174, "annotations": []}
{"role": "volunteer", "content": "yep!", "session_id": 8084, "sequence_id": 175, "annotations": []}
{"role": "volunteer", "content": "this one?", "session_id": 8084, "sequence_id": 176, "annotations": []}
{"role": "student", "content": "23:2", "session_id": 8084, "sequence_id": 177, "annotations": []}
{"role": "volunteer", "content": "is that a 2?", "session_id": 8084, "sequence_id": 178, "annotations": []}
{"role": "volunteer", "content": "i cant tell", "session_id": 8084, "sequence_id": 179, "annotations": []}
{"role": "student", "content": "2.3 and 2", "session_id": 8084, "sequence_id": 180, "annotations": []}
{"role": "volunteer", "content": "is that 2.3 and 1.5?", "session_id": 8084, "sequence_id": 181, "annotations": []}
{"role": "student", "content": "oh i was looking at pink side lol", "session_id": 8084, "sequence_id": 182, "annotations": []}
{"role": "volunteer", "content": "its ok!", "session_id": 8084, "sequence_id": 183, "annotations": []}
{"role": "volunteer", "content": "i have to go now, but do you understand the process?", "session_id": 8084, "sequence_id": 184, "annotations": []}
{"role": "student", "content": "yess sir", "session_id": 8084, "sequence_id": 185, "annotations": []}
{"role": "volunteer", "content": "lol ok good luck!", "session_id": 8084, "sequence_id": 186, "annotations": []}
{"role": "volunteer", "content": "glad i could help", "session_id": 8084, "sequence_id": 187, "annotations": []}
{"role": "student", "content": "thx you", "session_id": 8084, "sequence_id": 188, "annotations": []}
{"role": "volunteer", "content": "of course", "session_id": 8084, "sequence_id": 189, "annotations": []}
{"role": "student", "content": "it helped me understand this more", "session_id": 8084, "sequence_id": 190, "annotations": []}
{"role": "volunteer", "content": "yay! have a good day", "session_id": 8084, "sequence_id": 191, "annotations": []}
{"role": "student", "content": "you too", "session_id": 8084, "sequence_id": 192, "annotations": []}
{"role": "student", "content": "hi", "session_id": 2852, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "hi! how can I help", "session_id": 2852, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "The question I need help with is on the board", "session_id": 2852, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "ok one sec !", "session_id": 2852, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "take your time", "session_id": 2852, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "ok so lets first start out by lisitng what we know", "session_id": 2852, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "now we need ot make these equations", "session_id": 2852, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "so look at the key words im goign to underline", "session_id": 2852, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "well the banana bread is the x and the pumpkin bread is the y", "session_id": 2852, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "great!", "session_id": 2852, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "so how can we rperesent that she wants 24 at most of them", "session_id": 2852, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "think about what symbols to use", "session_id": 2852, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "the green line is the inequality symbols < >", "session_id": 2852, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "yes!", "session_id": 2852, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "now shes sayign the total of the bana and pumkin bread should be at most 24", "session_id": 2852, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "so that means, that the 2 varibale added together should be less than or equal to 24", "session_id": 2852, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "can u write that as an equation?", "session_id": 2852, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "ok now a system means mutiple equations", "session_id": 2852, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "so we need another one", "session_id": 2852, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "try to see if you can make 2nd sentence an equation", "session_id": 2852, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "and I said before banana bread is x and pumpkin bread is the y", "session_id": 2852, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "yep! try to incirparate the pricings and 50 goal into the equation too now", "session_id": 2852, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "great! try to add in the y", "session_id": 2852, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "yes", "session_id": 2852, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "great!", "session_id": 2852, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "now for part b", "session_id": 2852, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "we need x number of banana bread and y number of punpkin that satify both conditions", "session_id": 2852, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "menaing if we plugged in those value both equaiton would be true", "session_id": 2852, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "do you know any combinaiton so far?", "session_id": 2852, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "nice !", "session_id": 2852, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "now right out the 2 cobmination as a sentence", "session_id": 2852, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "I used desmos to make the graph my teacher tells us we can use desmos for graphing and stuff", "session_id": 2852, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "ex. # bana breads and # pumpkin breads", "session_id": 2852, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "ya using demsos is a greta ideaa!", "session_id": 2852, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "yes", "session_id": 2852, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "are u there?", "session_id": 2852, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "yeah I'm here I'm just confused about the third question", "session_id": 2852, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "oh ok!", "session_id": 2852, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "I don't understand what the third question is asking me to do.", "session_id": 2852, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "basically we want a combinaiton of breads that when added up is the lowest it possible can", "session_id": 2852, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "ill show u how to solve that", "session_id": 2852, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "ok so in order to get a sulotion that sitifies both equations, it need to be in that shaded region between red and green", "session_id": 2852, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "and to get the lowest value, you want it to be as close to the origin (0,0) as poissible", "session_id": 2852, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "so look at the graph and see what point is closest to the origign but also in the shaded region", "session_id": 2852, "sequence_id": 43, "annotations": []}
{"role": "student", "content": "can you help me draw the graph because my homework is on paper and I can't paste the graph on my paper so.", "session_id": 2852, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "no need to draw the graph!", "session_id": 2852, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "you just have to find the point", "session_id": 2852, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "usign the grpah u made on Desmos", "session_id": 2852, "sequence_id": 47, "annotations": []}
{"role": "student", "content": "how can you show me what you mean?", "session_id": 2852, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 2852, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "ill shared screeb", "session_id": 2852, "sequence_id": 50, "annotations": []}
{"role": "student", "content": "ok", "session_id": 2852, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "do you see the image", "session_id": 2852, "sequence_id": 52, "annotations": []}
{"role": "student", "content": "no", "session_id": 2852, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "scroll down", "session_id": 2852, "sequence_id": 54, "annotations": []}
{"role": "student", "content": "I did", "session_id": 2852, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "do you see now?", "session_id": 2852, "sequence_id": 56, "annotations": []}
{"role": "student", "content": "no?", "session_id": 2852, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "ok were you able to see my screeb", "session_id": 2852, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "before", "session_id": 2852, "sequence_id": 59, "annotations": []}
{"role": "student", "content": "yes I was able to see you screenshare", "session_id": 2852, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "ok ill explain it there", "session_id": 2852, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "i grpahed a point", "session_id": 2852, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "that is closest to the origin while still being in the shaded area", "session_id": 2852, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "do you see it?", "session_id": 2852, "sequence_id": 64, "annotations": []}
{"role": "student", "content": "your screen is gray", "session_id": 2852, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "did you see now?", "session_id": 2852, "sequence_id": 66, "annotations": []}
{"role": "student", "content": "Communist", "session_id": 2852, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "huh thats American", "session_id": 2852, "sequence_id": 68, "annotations": [{"pii_type": "NRP", "surrogate": "American", "start": 10, "end": 18}]}
{"role": "student", "content": "yeah it's just gray I don't see anything except a gray screen", "session_id": 2852, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "ok ill gaorh it then", "session_id": 2852, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "graph*", "session_id": 2852, "sequence_id": 71, "annotations": []}
{"role": "student", "content": "wait there is a red dot next to screen share on my side", "session_id": 2852, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "can you see my graph", "session_id": 2852, "sequence_id": 73, "annotations": []}
{"role": "student", "content": "Yes I saw it for 5 seconds", "session_id": 2852, "sequence_id": 74, "annotations": []}
{"role": "volunteer", "content": "can you see hte one im drawing", "session_id": 2852, "sequence_id": 75, "annotations": []}
{"role": "student", "content": "yes I see scribbles", "session_id": 2852, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "so i grpahed the point that is closest ot the origin and in the shaded area", "session_id": 2852, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "can you tell me what this represents", "session_id": 2852, "sequence_id": 78, "annotations": []}
{"role": "student", "content": "I still don't get it", "session_id": 2852, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "so the point i graphed respresent a combination of x and y", "session_id": 2852, "sequence_id": 80, "annotations": []}
{"role": "volunteer", "content": "which is combinaiton of banana and pupkin breads", "session_id": 2852, "sequence_id": 81, "annotations": []}
{"role": "volunteer", "content": "and since it is in the shaded area between the system of equation we made, it satifies both", "session_id": 2852, "sequence_id": 82, "annotations": []}
{"role": "volunteer", "content": "and our goal is to find the lowest (\"minimum\") combination of breads", "session_id": 2852, "sequence_id": 83, "annotations": []}
{"role": "volunteer", "content": "menaing we want x+y to be as low as possible", "session_id": 2852, "sequence_id": 84, "annotations": []}
{"role": "volunteer", "content": "while satfyign the conditions (aka being in the shaded area of the system of equations graphed)", "session_id": 2852, "sequence_id": 85, "annotations": []}
{"role": "volunteer", "content": "so since we want x and y value to be as low as possible, they should be closest to he orginin (0,0)", "session_id": 2852, "sequence_id": 86, "annotations": []}
{"role": "volunteer", "content": "and the point that is within the shaded area but also close to origin (meaning its x and y values are closest to being 0) is (2,10)", "session_id": 2852, "sequence_id": 87, "annotations": []}
{"role": "student", "content": "ok", "session_id": 2852, "sequence_id": 88, "annotations": []}
{"role": "volunteer", "content": "which means 2 banana breads and 10 pumpkin breads", "session_id": 2852, "sequence_id": 89, "annotations": []}
{"role": "volunteer", "content": "anything else i can help with?", "session_id": 2852, "sequence_id": 90, "annotations": []}
{"role": "student", "content": "can you see the image I sent?", "session_id": 2852, "sequence_id": 91, "annotations": []}
{"role": "volunteer", "content": "no,", "session_id": 2852, "sequence_id": 92, "annotations": []}
{"role": "student", "content": "oh weird", "session_id": 2852, "sequence_id": 93, "annotations": []}
{"role": "volunteer", "content": "do you wanna retry the session", "session_id": 2852, "sequence_id": 94, "annotations": []}
{"role": "student", "content": "yes", "session_id": 2852, "sequence_id": 95, "annotations": []}
{"role": "volunteer", "content": "hey !", "session_id": 2852, "sequence_id": 96, "annotations": []}
{"role": "student", "content": "hello", "session_id": 2852, "sequence_id": 97, "annotations": []}
{"role": "volunteer", "content": "can you try to start a sperate session", "session_id": 2852, "sequence_id": 98, "annotations": []}
{"role": "student", "content": "it says the session is over ?", "session_id": 2852, "sequence_id": 99, "annotations": []}
{"role": "volunteer", "content": "try to start a new one", "session_id": 2852, "sequence_id": 100, "annotations": []}
{"role": "student", "content": "ok but weird how I can still type on the chat", "session_id": 2852, "sequence_id": 101, "annotations": []}
{"role": "volunteer", "content": "its like some other feature", "session_id": 2852, "sequence_id": 102, "annotations": []}
{"role": "volunteer", "content": "im not abkle to do whiteboards or anyting lese", "session_id": 2852, "sequence_id": 103, "annotations": []}
{"role": "student", "content": "ok let me come back", "session_id": 2852, "sequence_id": 104, "annotations": []}
{"role": "volunteer", "content": "Hi! What can I do for you?", "session_id": 4481, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "Hello!", "session_id": 4481, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "I'm in 9th grade and right now learning something.", "session_id": 4481, "sequence_id": 2, "annotations": [{"pii_type": "GRADE_LEVEL", "surrogate": "9th grade", "start": 7, "end": 16}]}
{"role": "student", "content": "Can you help me strengthen my skills?", "session_id": 4481, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "Sure!", "session_id": 4481, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "Is there a specific concept you want to strengthen your skills in?", "session_id": 4481, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "Give me 1 second, I have to see what concept it is.", "session_id": 4481, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "Okay", "session_id": 4481, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "Im back", "session_id": 4481, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "So im learnign right now how to use the distributive property, evaluating algebric expressions, and simplifying expressions", "session_id": 4481, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "I see", "session_id": 4481, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "Like one question from the HW is 6a - ( 3a  + 5b + 5a ) - 2b - 8", "session_id": 4481, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "Ah, gotcha. So what I'm hearing is you would like to practice more problems like this?", "session_id": 4481, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 4481, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "Quite that exactly", "session_id": 4481, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "Alright, I can definitely do that. It might take me a moment to find some good practice problems, but it shouldn't take me too long", "session_id": 4481, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "Okay!", "session_id": 4481, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "Got some. I'll post them on the whiteboard for you", "session_id": 4481, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "I can do them now?", "session_id": 4481, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "Absolutely! I'll keep making more as you work, then we can check answers together", "session_id": 4481, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "We can do as few or as many as you like", "session_id": 4481, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "Okay!", "session_id": 4481, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "Could you get a bit more harder ones? These are simply", "session_id": 4481, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "simple*", "session_id": 4481, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "Sorry to ask", "session_id": 4481, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "Yeah. It's no worries at all! I figured I'd start easy, and it's no problem to work up to harder ones", "session_id": 4481, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "Okay thats perfect", "session_id": 4481, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "For your answers, you got the 1st one right, you forgot the y next to the -15 in the 2nd one but are otherwise right, and for 3.) it should be -12b, not +12b", "session_id": 4481, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "Okay", "session_id": 4481, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "For 4 I disagree with the middle term, the rest looks fine", "session_id": 4481, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "There you go. I'll go get you some harder problems... you said evaluation is fine, right? Like if I told you x = 3 and gave you an equation with x in it you could simplify?", "session_id": 4481, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 4481, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "Gotcha. Just thought I'd make sure", "session_id": 4481, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "This website is really good!", "session_id": 4481, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "Is it on iPad? It is really hard to do it with a mouse.", "session_id": 4481, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "I'm glad you like it! I agree that it's really hard to do with a mouse... your handwriting is so clean I thought you were doing it on a tablet!", "session_id": 4481, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "I've personally never tried doing it on a tablet, but it might be possible. It's definitely worth trying to make writing easier", "session_id": 4481, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "Thank you!", "session_id": 4481, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "I'll definitely try that later.", "session_id": 4481, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "What other subjects are on this?", "session_id": 4481, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "I just saw math and decided to try it.", "session_id": 4481, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "There's math in lots of levels (up to calculus), chemistry, biology, english, social studies, essay review, PS 101 students", "session_id": 4481, "sequence_id": 41, "annotations": [{"pii_type": "SCHOOL", "surrogate": "PS 101", "start": 108, "end": 114}]}
{"role": "student", "content": "All for free?", "session_id": 4481, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "All for free", "session_id": 4481, "sequence_id": 43, "annotations": []}
{"role": "student", "content": "That's amazing", "session_id": 4481, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "I thought so too. I've been doing this on and off for a few years, and I love this platform", "session_id": 4481, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "How long have you been teaching on here?", "session_id": 4481, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "Let's see... I started maybe 2-3 years ago? I haven't been on consistently, but every now and then I'll have a phase where I come and tutor a lot. I personally find it quite fun", "session_id": 4481, "sequence_id": 47, "annotations": []}
{"role": "student", "content": "That will be all for today", "session_id": 4481, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "I will be defintely using this more often", "session_id": 4481, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "Glad to hear it! You got all these right except the top one, if you want to go back and take another look at it", "session_id": 4481, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "Yeah, that's it. You just forgot to make the 2x positive last time, that's all", "session_id": 4481, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "Okay, I'll solve it with the corrected 2x", "session_id": 4481, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "There you go. Well done", "session_id": 4481, "sequence_id": 53, "annotations": []}
{"role": "student", "content": "Thank you", "session_id": 4481, "sequence_id": 54, "annotations": []}
{"role": "student", "content": "Hope I see you again!", "session_id": 4481, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "I hope so too. Have a great day!", "session_id": 4481, "sequence_id": 56, "annotations": []}
{"role": "student", "content": "You too! :)", "session_id": 4481, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "Hello how is it going", "session_id": 5361, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "What can I help you with today", "session_id": 5361, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "i think i don't have a deep enough understanding of unit 2 of precalc", "session_id": 5361, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "I'm unfamiliar to what unit 2 is. Could you be more specific?", "session_id": 5361, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "Arithmetic and Geometric Sequences\n2.3 Exponential Functions\n2.4 Exponential Function Manipulation\n2.5 Exponential Function Modelling\n2.6 Competing Models\n2.7 Composition of Functions\n2.8 Inverse Functions\n2.9 Log Expressions", "session_id": 5361, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "Alright I should be able to help out with that", "session_id": 5361, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "How can I help though?", "session_id": 5361, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "coukd you give me some practice from each topic and ill do them and maybe you can see where I mess up", "session_id": 5361, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "Sure", "session_id": 5361, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "We can start off with 2.1 first", "session_id": 5361, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "I'll put a question on the board one sec", "session_id": 5361, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "ok give me a second to solve and ill put the work up", "session_id": 5361, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "Alright", "session_id": 5361, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "answer 25?", "session_id": 5361, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "Let me double check", "session_id": 5361, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "Incorrect", "session_id": 5361, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "wait is it because the first term is 1 so i just use that?", "session_id": 5361, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "instead of finding the zero term", "session_id": 5361, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "Yes exactly", "session_id": 5361, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "It's the first term to use, not the \"0th\" term", "session_id": 5361, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "ohhhh okay i get it can i get another problem so i can try it out with that", "session_id": 5361, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "Sure", "session_id": 5361, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "Slightly harder, but same concept", "session_id": 5361, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "okay give me a second", "session_id": 5361, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "Alright", "session_id": 5361, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "answer 49?", "session_id": 5361, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "Yep", "session_id": 5361, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "yay okay great we can move onto geometric then or try a harder problem if you want", "session_id": 5361, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "Sure", "session_id": 5361, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "Give me one moment", "session_id": 5361, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "Done", "session_id": 5361, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "k give me a sec", "session_id": 5361, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "Alright", "session_id": 5361, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "192?", "session_id": 5361, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "is this the answer?", "session_id": 5361, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "Let me check", "session_id": 5361, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "Yep!", "session_id": 5361, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "great! can i get a harder one and then we can move on", "session_id": 5361, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "Sure", "session_id": 5361, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "Done", "session_id": 5361, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "33614?", "session_id": 5361, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "Let me check", "session_id": 5361, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "Yep :)", "session_id": 5361, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "great we can move onto the next topic", "session_id": 5361, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "Alright", "session_id": 5361, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "So exponential functions?", "session_id": 5361, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "yes", "session_id": 5361, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "Do you have any specific functions about them? There are a lot of different questions about exponential functions, so just want to make sure", "session_id": 5361, "sequence_id": 47, "annotations": []}
{"role": "student", "content": "it was liek the features of exponential functions, its properties and then later topics talk about like translations and manipulation", "session_id": 5361, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "Oh okay", "session_id": 5361, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "Alright then", "session_id": 5361, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "Give me some time to generate some questions", "session_id": 5361, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "np", "session_id": 5361, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "I put it on the board", "session_id": 5361, "sequence_id": 53, "annotations": []}
{"role": "student", "content": "7 is the intial value, 1.3 base?", "session_id": 5361, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "Yep exactly", "session_id": 5361, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "Not sure if that's what is being tested", "session_id": 5361, "sequence_id": 56, "annotations": []}
{"role": "student", "content": "my teacher also asked about domain, range, concave up or down, asymptote, end behaviour", "session_id": 5361, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "Oh great", "session_id": 5361, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "Let me put some questions related to that then", "session_id": 5361, "sequence_id": 59, "annotations": []}
{"role": "student", "content": "kk", "session_id": 5361, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "Two parts to the question if that's okay", "session_id": 5361, "sequence_id": 61, "annotations": []}
{"role": "student", "content": "thats fine give me a sec", "session_id": 5361, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "Alright", "session_id": 5361, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "Take your time", "session_id": 5361, "sequence_id": 64, "annotations": []}
{"role": "student", "content": "done, sry if its a bit hard to read i cant really draw well on a laptop", "session_id": 5361, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "Domain is correct", "session_id": 5361, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "Range is incorrect", "session_id": 5361, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "Does the first limit statement say positive infinity?", "session_id": 5361, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "It looks like a zero", "session_id": 5361, "sequence_id": 69, "annotations": []}
{"role": "student", "content": "first limit statement is as x appraoches negative infinity, y apporaches zero", "session_id": 5361, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "Incorrect", "session_id": 5361, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "The second limit statement is also incorrect", "session_id": 5361, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "You drew the graph incorrectly", "session_id": 5361, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "Your current graph is a negative but it's really positive", "session_id": 5361, "sequence_id": 74, "annotations": []}
{"role": "student", "content": "but isnt the y intercept negative", "session_id": 5361, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "It is yes", "session_id": 5361, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "But f(x) does not approach negative infinity as x approaches infinity", "session_id": 5361, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "positive infinity", "session_id": 5361, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "It actually does the opposite", "session_id": 5361, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "I'll drew a rough sketch of the graph on the board", "session_id": 5361, "sequence_id": 80, "annotations": []}
{"role": "volunteer", "content": "Looks something like that", "session_id": 5361, "sequence_id": 81, "annotations": []}
{"role": "student", "content": "OH wait okay so if the base is positive, its still going concave up, its just starting lower cause of the negative y-intercept", "session_id": 5361, "sequence_id": 82, "annotations": []}
{"role": "volunteer", "content": "Exactly", "session_id": 5361, "sequence_id": 83, "annotations": []}
{"role": "student", "content": "so if the base is negative its concave down?", "session_id": 5361, "sequence_id": 84, "annotations": []}
{"role": "volunteer", "content": "Yeah so if it was like -2^x", "session_id": 5361, "sequence_id": 85, "annotations": []}
{"role": "volunteer", "content": "It would be concave down", "session_id": 5361, "sequence_id": 86, "annotations": []}
{"role": "student", "content": "so the range would be 0 to positive infinity?", "session_id": 5361, "sequence_id": 87, "annotations": []}
{"role": "volunteer", "content": "Not quite", "session_id": 5361, "sequence_id": 88, "annotations": []}
{"role": "volunteer", "content": "Agree with positive infinity but not 0", "session_id": 5361, "sequence_id": 89, "annotations": []}
{"role": "volunteer", "content": "Because f(x) does get values lower than 0", "session_id": 5361, "sequence_id": 90, "annotations": []}
{"role": "volunteer", "content": "It has a horizontal asymptote at y = -3", "session_id": 5361, "sequence_id": 91, "annotations": []}
{"role": "student", "content": "oh so negative infinity", "session_id": 5361, "sequence_id": 92, "annotations": []}
{"role": "volunteer", "content": "No", "session_id": 5361, "sequence_id": 93, "annotations": []}
{"role": "volunteer", "content": "Here's a good way to look at it", "session_id": 5361, "sequence_id": 94, "annotations": []}
{"role": "volunteer", "content": "Can 2^x = 0?", "session_id": 5361, "sequence_id": 95, "annotations": []}
{"role": "student", "content": "no", "session_id": 5361, "sequence_id": 96, "annotations": []}
{"role": "volunteer", "content": "Yup", "session_id": 5361, "sequence_id": 97, "annotations": []}
{"role": "volunteer", "content": "So, that means f(x) cannot equal -3", "session_id": 5361, "sequence_id": 98, "annotations": []}
{"role": "volunteer", "content": "So its asymptote is at y = 3", "session_id": 5361, "sequence_id": 99, "annotations": []}
{"role": "volunteer", "content": "y = -3", "session_id": 5361, "sequence_id": 100, "annotations": []}
{"role": "volunteer", "content": "Meaning the range is actually (-3, pos inf)", "session_id": 5361, "sequence_id": 101, "annotations": []}
{"role": "volunteer", "content": "pos = positive", "session_id": 5361, "sequence_id": 102, "annotations": []}
{"role": "volunteer", "content": "The asymptote means as x approaches negative infinity, f(x) gets closer and closer to -3 but never actually reaches it", "session_id": 5361, "sequence_id": 103, "annotations": []}
{"role": "volunteer", "content": "And this is something you'll see in Calculus called a asymptotic limit", "session_id": 5361, "sequence_id": 104, "annotations": []}
{"role": "student", "content": "oh okay bc i thought its always that fx gets closer to zero but not fully but it actually differs based on the asmyptote, so if the asymptote was o then that logic woudl work but since this example if y=-3, its -3 to pos infinity", "session_id": 5361, "sequence_id": 105, "annotations": []}
{"role": "volunteer", "content": "Yep exactly", "session_id": 5361, "sequence_id": 106, "annotations": []}
{"role": "volunteer", "content": "So (-3, inf) :)", "session_id": 5361, "sequence_id": 107, "annotations": []}
{"role": "student", "content": "okay lets try another problem", "session_id": 5361, "sequence_id": 108, "annotations": []}
{"role": "volunteer", "content": "And by finding the range, we answered the first limit statement", "session_id": 5361, "sequence_id": 109, "annotations": []}
{"role": "volunteer", "content": "x --> -inf f(x) = -3", "session_id": 5361, "sequence_id": 110, "annotations": []}
{"role": "student", "content": "that makes sense now", "session_id": 5361, "sequence_id": 111, "annotations": []}
{"role": "volunteer", "content": "Yep", "session_id": 5361, "sequence_id": 112, "annotations": []}
{"role": "volunteer", "content": "And for the last limit statement, remember that it's concave up and NOT down", "session_id": 5361, "sequence_id": 113, "annotations": []}
{"role": "volunteer", "content": "So it's actually approaching positive infinity", "session_id": 5361, "sequence_id": 114, "annotations": []}
{"role": "student", "content": "okay got it lets try with another problem", "session_id": 5361, "sequence_id": 115, "annotations": []}
{"role": "volunteer", "content": "Alright", "session_id": 5361, "sequence_id": 116, "annotations": []}
{"role": "volunteer", "content": "I'll give a similar question but I'd like you to attempt it and it will have all the parts you listed earlier", "session_id": 5361, "sequence_id": 117, "annotations": []}
{"role": "student", "content": "ok", "session_id": 5361, "sequence_id": 118, "annotations": []}
{"role": "volunteer", "content": "Alright I know that's a lot", "session_id": 5361, "sequence_id": 119, "annotations": []}
{"role": "volunteer", "content": "But you have the skills!", "session_id": 5361, "sequence_id": 120, "annotations": []}
{"role": "volunteer", "content": "One sec I'll be back", "session_id": 5361, "sequence_id": 121, "annotations": []}
{"role": "student", "content": "ok i finished for when you come back", "session_id": 5361, "sequence_id": 122, "annotations": []}
{"role": "volunteer", "content": "Alright I'm back let me check", "session_id": 5361, "sequence_id": 123, "annotations": []}
{"role": "volunteer", "content": "You're correct for every part except the initial value", "session_id": 5361, "sequence_id": 124, "annotations": []}
{"role": "student", "content": "at x=0, y=3 right?", "session_id": 5361, "sequence_id": 125, "annotations": []}
{"role": "volunteer", "content": "No at x = 0, y = 3", "session_id": 5361, "sequence_id": 126, "annotations": []}
{"role": "volunteer", "content": "Because -(5^0) = -1", "session_id": 5361, "sequence_id": 127, "annotations": []}
{"role": "volunteer", "content": "-1 + 4 = 3", "session_id": 5361, "sequence_id": 128, "annotations": []}
{"role": "student", "content": "OH OH okay i got you the initial value is the base raised to the 0 power", "session_id": 5361, "sequence_id": 129, "annotations": []}
{"role": "volunteer", "content": "Exactly", "session_id": 5361, "sequence_id": 130, "annotations": []}
{"role": "volunteer", "content": "Or just the y-int", "session_id": 5361, "sequence_id": 131, "annotations": []}
{"role": "student", "content": "whats 4 then, i thought that was the y=int", "session_id": 5361, "sequence_id": 132, "annotations": []}
{"role": "volunteer", "content": "4 is the horizontal asymptote", "session_id": 5361, "sequence_id": 133, "annotations": []}
{"role": "student", "content": "oh okay i thought it was both", "session_id": 5361, "sequence_id": 134, "annotations": []}
{"role": "student", "content": "but yea that makes sense", "session_id": 5361, "sequence_id": 135, "annotations": []}
{"role": "volunteer", "content": "Yep", "session_id": 5361, "sequence_id": 136, "annotations": []}
{"role": "student", "content": "lets try another one", "session_id": 5361, "sequence_id": 137, "annotations": []}
{"role": "volunteer", "content": "Sure", "session_id": 5361, "sequence_id": 138, "annotations": []}
{"role": "volunteer", "content": "One moment", "session_id": 5361, "sequence_id": 139, "annotations": []}
{"role": "volunteer", "content": "Do you want to move onto a new topic or still this one?", "session_id": 5361, "sequence_id": 140, "annotations": []}
{"role": "student", "content": "i want to try one more of this topic so i can make sure i have it down and then we can move on", "session_id": 5361, "sequence_id": 141, "annotations": []}
{"role": "volunteer", "content": "Sounds good", "session_id": 5361, "sequence_id": 142, "annotations": []}
{"role": "volunteer", "content": "Done", "session_id": 5361, "sequence_id": 143, "annotations": []}
{"role": "volunteer", "content": "Also I'm going to get rid of the concave question", "session_id": 5361, "sequence_id": 144, "annotations": []}
{"role": "volunteer", "content": "It involves derivatives which is a calculus topic", "session_id": 5361, "sequence_id": 145, "annotations": []}
{"role": "student", "content": "ok", "session_id": 5361, "sequence_id": 146, "annotations": []}
{"role": "student", "content": "done", "session_id": 5361, "sequence_id": 147, "annotations": []}
{"role": "volunteer", "content": "Let me check", "session_id": 5361, "sequence_id": 148, "annotations": []}
{"role": "volunteer", "content": "One sec", "session_id": 5361, "sequence_id": 149, "annotations": []}
{"role": "volunteer", "content": "Nailed it.", "session_id": 5361, "sequence_id": 150, "annotations": []}
{"role": "student", "content": "yay! okay we can move onto the next topic", "session_id": 5361, "sequence_id": 151, "annotations": []}
{"role": "volunteer", "content": "Yep", "session_id": 5361, "sequence_id": 152, "annotations": []}
{"role": "volunteer", "content": "Well the next two topics are exponential function manipulation and modeling", "session_id": 5361, "sequence_id": 153, "annotations": []}
{"role": "volunteer", "content": "I feel like we kind of did that though", "session_id": 5361, "sequence_id": 154, "annotations": []}
{"role": "student", "content": "my teacher had different stuff ill show it on the board", "session_id": 5361, "sequence_id": 155, "annotations": []}
{"role": "volunteer", "content": "Alright cool", "session_id": 5361, "sequence_id": 156, "annotations": []}
{"role": "student", "content": "this was manipulation", "session_id": 5361, "sequence_id": 157, "annotations": []}
{"role": "volunteer", "content": "Oh!", "session_id": 5361, "sequence_id": 158, "annotations": []}
{"role": "volunteer", "content": "I see", "session_id": 5361, "sequence_id": 159, "annotations": []}
{"role": "volunteer", "content": "Yes, I can give questions related to this", "session_id": 5361, "sequence_id": 160, "annotations": []}
{"role": "student", "content": "okay great", "session_id": 5361, "sequence_id": 161, "annotations": []}
{"role": "volunteer", "content": "But wait", "session_id": 5361, "sequence_id": 162, "annotations": []}
{"role": "volunteer", "content": "What did the first top of the page say?", "session_id": 5361, "sequence_id": 163, "annotations": []}
{"role": "volunteer", "content": "Rewrite...", "session_id": 5361, "sequence_id": 164, "annotations": []}
{"role": "volunteer", "content": "I'll need to know that", "session_id": 5361, "sequence_id": 165, "annotations": []}
{"role": "student", "content": "can you see it on the image?", "session_id": 5361, "sequence_id": 166, "annotations": []}
{"role": "volunteer", "content": "Yup give me one moment", "session_id": 5361, "sequence_id": 167, "annotations": []}
{"role": "volunteer", "content": "Alright I think I have a general idea", "session_id": 5361, "sequence_id": 168, "annotations": []}
{"role": "volunteer", "content": "let me put a question on the board", "session_id": 5361, "sequence_id": 169, "annotations": []}
{"role": "volunteer", "content": "You can remove it now thanks", "session_id": 5361, "sequence_id": 170, "annotations": []}
{"role": "volunteer", "content": "All of these questions are rewrite it to the form f(x) = ab^x btw", "session_id": 5361, "sequence_id": 171, "annotations": []}
{"role": "student", "content": "okay np i can solve it now", "session_id": 5361, "sequence_id": 172, "annotations": []}
{"role": "volunteer", "content": "Great", "session_id": 5361, "sequence_id": 173, "annotations": []}
{"role": "student", "content": "done", "session_id": 5361, "sequence_id": 174, "annotations": []}
{"role": "volunteer", "content": "Yep great", "session_id": 5361, "sequence_id": 175, "annotations": []}
{"role": "volunteer", "content": "I'll put another on the board", "session_id": 5361, "sequence_id": 176, "annotations": []}
{"role": "volunteer", "content": "Sorry just rewrote it", "session_id": 5361, "sequence_id": 177, "annotations": []}
{"role": "student", "content": "done", "session_id": 5361, "sequence_id": 178, "annotations": []}
{"role": "volunteer", "content": "Not quite", "session_id": 5361, "sequence_id": 179, "annotations": []}
{"role": "volunteer", "content": "And we shouldn't round ideally", "session_id": 5361, "sequence_id": 180, "annotations": []}
{"role": "volunteer", "content": "It's better to have it precise", "session_id": 5361, "sequence_id": 181, "annotations": []}
{"role": "volunteer", "content": "Because sqrt(7) does not exactly equal 3.5", "session_id": 5361, "sequence_id": 182, "annotations": []}
{"role": "student", "content": "so keep it as sqaure root 7", "session_id": 5361, "sequence_id": 183, "annotations": []}
{"role": "student", "content": "/", "session_id": 5361, "sequence_id": 184, "annotations": []}
{"role": "student", "content": "?", "session_id": 5361, "sequence_id": 185, "annotations": []}
{"role": "volunteer", "content": "Yep", "session_id": 5361, "sequence_id": 186, "annotations": []}
{"role": "student", "content": "k i rewrote it", "session_id": 5361, "sequence_id": 187, "annotations": []}
{"role": "volunteer", "content": "Incorrect still", "session_id": 5361, "sequence_id": 188, "annotations": []}
{"role": "volunteer", "content": "Shall I show on the board?", "session_id": 5361, "sequence_id": 189, "annotations": []}
{"role": "student", "content": "yes", "session_id": 5361, "sequence_id": 190, "annotations": []}
{"role": "volunteer", "content": "Could you erase your work please?", "session_id": 5361, "sequence_id": 191, "annotations": []}
{"role": "volunteer", "content": "Done", "session_id": 5361, "sequence_id": 192, "annotations": []}
{"role": "volunteer", "content": "y = (sqrt7)^2", "session_id": 5361, "sequence_id": 193, "annotations": []}
{"role": "volunteer", "content": "*x", "session_id": 5361, "sequence_id": 194, "annotations": []}
{"role": "volunteer", "content": "Since 1/2 * x = x/2 using exponential laws", "session_id": 5361, "sequence_id": 195, "annotations": []}
{"role": "student", "content": "Oh okay i got it i forgot about that", "session_id": 5361, "sequence_id": 196, "annotations": []}
{"role": "volunteer", "content": "Yep no worries", "session_id": 5361, "sequence_id": 197, "annotations": []}
{"role": "student", "content": "can we do one more", "session_id": 5361, "sequence_id": 198, "annotations": []}
{"role": "volunteer", "content": "Sure", "session_id": 5361, "sequence_id": 199, "annotations": []}
{"role": "student", "content": "done", "session_id": 5361, "sequence_id": 200, "annotations": []}
{"role": "volunteer", "content": "Technically that is correct", "session_id": 5361, "sequence_id": 201, "annotations": []}
{"role": "volunteer", "content": "But you could also say this:", "session_id": 5361, "sequence_id": 202, "annotations": []}
{"role": "volunteer", "content": "y = 1/81 * 3^x", "session_id": 5361, "sequence_id": 203, "annotations": []}
{"role": "volunteer", "content": "That one would probably be more accepted", "session_id": 5361, "sequence_id": 204, "annotations": []}
{"role": "volunteer", "content": "Same answer, just in a more organized form", "session_id": 5361, "sequence_id": 205, "annotations": []}
{"role": "student", "content": "i was gonna say it like that but i thoguth because of exp rules, it should be in fraction form", "session_id": 5361, "sequence_id": 206, "annotations": []}
{"role": "student", "content": "kk i can do ti like that too", "session_id": 5361, "sequence_id": 207, "annotations": []}
{"role": "volunteer", "content": "Yep", "session_id": 5361, "sequence_id": 208, "annotations": []}
{"role": "student", "content": "okay we can skip modeling bc thats with a calculator and i dont have mine on my right now", "session_id": 5361, "sequence_id": 209, "annotations": []}
{"role": "volunteer", "content": "Alright sure", "session_id": 5361, "sequence_id": 210, "annotations": []}
{"role": "volunteer", "content": "What is competing models?", "session_id": 5361, "sequence_id": 211, "annotations": []}
{"role": "student", "content": "ill put a image", "session_id": 5361, "sequence_id": 212, "annotations": []}
{"role": "volunteer", "content": "Alright great", "session_id": 5361, "sequence_id": 213, "annotations": []}
{"role": "volunteer", "content": "This might be hard for me to generate questions", "session_id": 5361, "sequence_id": 214, "annotations": []}
{"role": "volunteer", "content": "I could potentially make tables?", "session_id": 5361, "sequence_id": 215, "annotations": []}
{"role": "volunteer", "content": "Maybe not for the regression questions though", "session_id": 5361, "sequence_id": 216, "annotations": []}
{"role": "student", "content": "thats fine that works", "session_id": 5361, "sequence_id": 217, "annotations": []}
{"role": "volunteer", "content": "Alright cool", "session_id": 5361, "sequence_id": 218, "annotations": []}
{"role": "volunteer", "content": "I'll put the first question", "session_id": 5361, "sequence_id": 219, "annotations": []}
{"role": "volunteer", "content": "Is it best interepreted by a linear, quadratic, or exponential function?", "session_id": 5361, "sequence_id": 220, "annotations": []}
{"role": "student", "content": "linear", "session_id": 5361, "sequence_id": 221, "annotations": []}
{"role": "volunteer", "content": "Yep", "session_id": 5361, "sequence_id": 222, "annotations": []}
{"role": "volunteer", "content": "Is that all the questions ask?", "session_id": 5361, "sequence_id": 223, "annotations": []}
{"role": "volunteer", "content": "To determine the type of regression", "session_id": 5361, "sequence_id": 224, "annotations": []}
{"role": "student", "content": "(ii) Give a reason for your answer based on the\nrelationship between the change in the output\nvalues of f and the change in the input values of f.", "session_id": 5361, "sequence_id": 225, "annotations": []}
{"role": "volunteer", "content": "Alright I guess you can explain how its linear?", "session_id": 5361, "sequence_id": 226, "annotations": []}
{"role": "volunteer", "content": "And possibly give an equation", "session_id": 5361, "sequence_id": 227, "annotations": []}
{"role": "student", "content": "as the inputs increase over equal length consecutive intervals, the outputs are constant", "session_id": 5361, "sequence_id": 228, "annotations": []}
{"role": "student", "content": "ill put th equation on the board", "session_id": 5361, "sequence_id": 229, "annotations": []}
{"role": "volunteer", "content": "Alright cool", "session_id": 5361, "sequence_id": 230, "annotations": []}
{"role": "volunteer", "content": "Yup your equation is correct", "session_id": 5361, "sequence_id": 231, "annotations": []}
{"role": "student", "content": "okay great can we do a quad and exp one", "session_id": 5361, "sequence_id": 232, "annotations": []}
{"role": "volunteer", "content": "Sure", "session_id": 5361, "sequence_id": 233, "annotations": []}
{"role": "volunteer", "content": "Done", "session_id": 5361, "sequence_id": 234, "annotations": []}
{"role": "student", "content": "quad", "session_id": 5361, "sequence_id": 235, "annotations": []}
{"role": "volunteer", "content": "Yep", "session_id": 5361, "sequence_id": 236, "annotations": []}
{"role": "volunteer", "content": "And I don't expect you to find the equation", "session_id": 5361, "sequence_id": 237, "annotations": []}
{"role": "student", "content": "ok i can give explanation", "session_id": 5361, "sequence_id": 238, "annotations": []}
{"role": "volunteer", "content": "Alright", "session_id": 5361, "sequence_id": 239, "annotations": []}
{"role": "student", "content": "as the inputs increase over equal length consecutive intervals, the outputs are linear", "session_id": 5361, "sequence_id": 240, "annotations": []}
{"role": "volunteer", "content": "Yep", "session_id": 5361, "sequence_id": 241, "annotations": []}
{"role": "volunteer", "content": "Increasing by 10", "session_id": 5361, "sequence_id": 242, "annotations": []}
{"role": "volunteer", "content": "Each time", "session_id": 5361, "sequence_id": 243, "annotations": []}
{"role": "student", "content": "yep", "session_id": 5361, "sequence_id": 244, "annotations": []}
{"role": "student", "content": "we can do an exp one then move on", "session_id": 5361, "sequence_id": 245, "annotations": []}
{"role": "volunteer", "content": "Alright cool", "session_id": 5361, "sequence_id": 246, "annotations": []}
{"role": "volunteer", "content": "An equation is good for this one", "session_id": 5361, "sequence_id": 247, "annotations": []}
{"role": "student", "content": "exp, as the input values increase over equal length consecutive intervals, the outputs are proportional, multiply by 2 each time", "session_id": 5361, "sequence_id": 248, "annotations": []}
{"role": "volunteer", "content": "Yep", "session_id": 5361, "sequence_id": 249, "annotations": []}
{"role": "volunteer", "content": "Exponential equation is correct", "session_id": 5361, "sequence_id": 250, "annotations": []}
{"role": "student", "content": "okay great we can move onto the next topic", "session_id": 5361, "sequence_id": 251, "annotations": []}
{"role": "volunteer", "content": "Okay", "session_id": 5361, "sequence_id": 252, "annotations": []}
{"role": "student", "content": "i can show you example of composition of function is youw ant", "session_id": 5361, "sequence_id": 253, "annotations": []}
{"role": "student", "content": "if you want", "session_id": 5361, "sequence_id": 254, "annotations": []}
{"role": "volunteer", "content": "That'd be good thanks", "session_id": 5361, "sequence_id": 255, "annotations": []}
{"role": "student", "content": "that and like this 26. If k(x) = 2(x \u2212 3) \u2212 5x, for what value(s)\nof x is k(x) = f (h(f(3)))", "session_id": 5361, "sequence_id": 256, "annotations": []}
{"role": "student", "content": "the graph might be hard for here so if you want you can just do the equation one", "session_id": 5361, "sequence_id": 257, "annotations": []}
{"role": "volunteer", "content": "Alright", "session_id": 5361, "sequence_id": 258, "annotations": []}
{"role": "volunteer", "content": "One moment", "session_id": 5361, "sequence_id": 259, "annotations": []}
{"role": "volunteer", "content": "Not sure how I can do this", "session_id": 5361, "sequence_id": 260, "annotations": []}
{"role": "student", "content": "can you do like the picture i sent", "session_id": 5361, "sequence_id": 261, "annotations": []}
{"role": "student", "content": "i can also just solve this problem on the board and you can check", "session_id": 5361, "sequence_id": 262, "annotations": []}
{"role": "volunteer", "content": "Yeah that works thanks!", "session_id": 5361, "sequence_id": 263, "annotations": []}
{"role": "student", "content": "okay great ill solve right now", "session_id": 5361, "sequence_id": 264, "annotations": []}
{"role": "student", "content": "you can check those and then ill do 26 and 27", "session_id": 5361, "sequence_id": 265, "annotations": []}
{"role": "student", "content": "i fixed 23 i wrote the wrong numbers on accident", "session_id": 5361, "sequence_id": 266, "annotations": []}
{"role": "volunteer", "content": "Cool I'll check", "session_id": 5361, "sequence_id": 267, "annotations": []}
{"role": "volunteer", "content": "Correct :)", "session_id": 5361, "sequence_id": 268, "annotations": []}
{"role": "student", "content": "ok ill do the last two", "session_id": 5361, "sequence_id": 269, "annotations": []}
{"role": "volunteer", "content": "Alright", "session_id": 5361, "sequence_id": 270, "annotations": []}
{"role": "student", "content": "done, but i have a question for 27", "session_id": 5361, "sequence_id": 271, "annotations": []}
{"role": "volunteer", "content": "Yes", "session_id": 5361, "sequence_id": 272, "annotations": []}
{"role": "student", "content": "b/c its absolute value, is there two x value answers like for =5 and =-5 or just one answer", "session_id": 5361, "sequence_id": 273, "annotations": []}
{"role": "volunteer", "content": "Two", "session_id": 5361, "sequence_id": 274, "annotations": []}
{"role": "student", "content": "okay so let me finish the second one", "session_id": 5361, "sequence_id": 275, "annotations": []}
{"role": "student", "content": "done", "session_id": 5361, "sequence_id": 276, "annotations": []}
{"role": "volunteer", "content": "Correct!", "session_id": 5361, "sequence_id": 277, "annotations": []}
{"role": "volunteer", "content": "Nice work", "session_id": 5361, "sequence_id": 278, "annotations": []}
{"role": "student", "content": "yay! okay we can do inverse functions now", "session_id": 5361, "sequence_id": 279, "annotations": []}
{"role": "volunteer", "content": "Sure", "session_id": 5361, "sequence_id": 280, "annotations": []}
{"role": "volunteer", "content": "Do you have any examples that go along with it?", "session_id": 5361, "sequence_id": 281, "annotations": []}
{"role": "student", "content": "yes ill put on the screen", "session_id": 5361, "sequence_id": 282, "annotations": []}
{"role": "volunteer", "content": "Cool", "session_id": 5361, "sequence_id": 283, "annotations": []}
{"role": "student", "content": "do you want me to solve these and check?", "session_id": 5361, "sequence_id": 284, "annotations": []}
{"role": "volunteer", "content": "Yes that would be great!", "session_id": 5361, "sequence_id": 285, "annotations": []}
{"role": "student", "content": "kk", "session_id": 5361, "sequence_id": 286, "annotations": []}
{"role": "volunteer", "content": "All correct", "session_id": 5361, "sequence_id": 287, "annotations": []}
{"role": "student", "content": "okay great, last topic if logarithmic functions", "session_id": 5361, "sequence_id": 288, "annotations": []}
{"role": "volunteer", "content": "Alright", "session_id": 5361, "sequence_id": 289, "annotations": []}
{"role": "volunteer", "content": "One sec", "session_id": 5361, "sequence_id": 290, "annotations": []}
{"role": "volunteer", "content": "Do you have a worksheet that goes along with the topic?", "session_id": 5361, "sequence_id": 291, "annotations": []}
{"role": "student", "content": "i put it up", "session_id": 5361, "sequence_id": 292, "annotations": []}
{"role": "volunteer", "content": "Alright cool", "session_id": 5361, "sequence_id": 293, "annotations": []}
{"role": "volunteer", "content": "I'll make some related questions", "session_id": 5361, "sequence_id": 294, "annotations": []}
{"role": "volunteer", "content": "Thanks", "session_id": 5361, "sequence_id": 295, "annotations": []}
{"role": "student", "content": "np", "session_id": 5361, "sequence_id": 296, "annotations": []}
{"role": "volunteer", "content": "First one is on the board", "session_id": 5361, "sequence_id": 297, "annotations": []}
{"role": "student", "content": "done", "session_id": 5361, "sequence_id": 298, "annotations": []}
{"role": "volunteer", "content": "Yep correct", "session_id": 5361, "sequence_id": 299, "annotations": []}
{"role": "volunteer", "content": "I'll put another on the board", "session_id": 5361, "sequence_id": 300, "annotations": []}
{"role": "student", "content": "kk", "session_id": 5361, "sequence_id": 301, "annotations": []}
{"role": "volunteer", "content": "Done", "session_id": 5361, "sequence_id": 302, "annotations": []}
{"role": "student", "content": "done", "session_id": 5361, "sequence_id": 303, "annotations": []}
{"role": "volunteer", "content": "Yep", "session_id": 5361, "sequence_id": 304, "annotations": []}
{"role": "volunteer", "content": "It seems like you've got the main concept", "session_id": 5361, "sequence_id": 305, "annotations": []}
{"role": "student", "content": "okay great i think thats it for now", "session_id": 5361, "sequence_id": 306, "annotations": []}
{"role": "student", "content": "thank you so much", "session_id": 5361, "sequence_id": 307, "annotations": []}
{"role": "volunteer", "content": "Alright", "session_id": 5361, "sequence_id": 308, "annotations": []}
{"role": "volunteer", "content": "Of course", "session_id": 5361, "sequence_id": 309, "annotations": []}
{"role": "volunteer", "content": "Have a good day", "session_id": 5361, "sequence_id": 310, "annotations": []}
{"role": "volunteer", "content": "Bye!", "session_id": 5361, "sequence_id": 311, "annotations": []}
{"role": "student", "content": "you too", "session_id": 5361, "sequence_id": 312, "annotations": []}
{"role": "volunteer", "content": "Liam, how are you today?", "session_id": 7953, "sequence_id": 0, "annotations": [{"pii_type": "PERSON", "surrogate": "Liam", "start": 0, "end": 4}]}
{"role": "volunteer", "content": "Good morning", "session_id": 7953, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "How can I help you", "session_id": 7953, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "im working on financial algebra", "session_id": 7953, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "i have a project", "session_id": 7953, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "in it", "session_id": 7953, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "OK, you can also screen share.", "session_id": 7953, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "the problem with me. Do you know how to do it?", "session_id": 7953, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "The problem says show your principal interest rates for the to table, principles should be the same for each account except for immunity divided by 20. You'll have to research interest rates for the savings account in CDs. So you take a um amount you wanna put into your single deposit and then you pick a bank and I picked American Express and the", "session_id": 7953, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "rate is 3.5 and then you're gonna compound it monthly and then you can just do the table I like here I have right now.", "session_id": 7953, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "Liam, if it is about project I'm not so I'm able to help you.", "session_id": 7953, "sequence_id": 10, "annotations": [{"pii_type": "PERSON", "surrogate": "Liam", "start": 0, "end": 4}]}
{"role": "student", "content": "why", "session_id": 7953, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "because the way that I understand it that you have to do some research on so forth here. That is something that takes a lot of time.", "session_id": 7953, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "So if it is about calculation, it, I might be able to do it.", "session_id": 7953, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "but as far as doing research is concerned, I'm not so sure", "session_id": 7953, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "I'm able to do it", "session_id": 7953, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "hi how can i help you", "session_id": 9855, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "Hi I have a question about unit 4", "session_id": 9855, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "on related rates", "session_id": 9855, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 9855, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "Ok", "session_id": 9855, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "so you have to think about what you are trying to find here, which is dtheta/dt", "session_id": 9855, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 9855, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "so differentiate the equation with resppect to t", "session_id": 9855, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "I like to draw it before I get the setup", "session_id": 9855, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "Because I want to really understand the process", "session_id": 9855, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 9855, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "I don\u2019t know what I\u2019m doing wrong", "session_id": 9855, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "i would recommend not drawing it for this one", "session_id": 9855, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "sometimes that can be helpful but it may confuse you here", "session_id": 9855, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "How did they get 1", "session_id": 9855, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "Oh ok", "session_id": 9855, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "If I don\u2019t draw it then how would I know which trig function to use?", "session_id": 9855, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "Do you times t by 10?", "session_id": 9855, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "Ok", "session_id": 9855, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "Ok", "session_id": 9855, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "makes sense", "session_id": 9855, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "I wrote it down", "session_id": 9855, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "good", "session_id": 9855, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "do you want to try one by yourself and i can chekc your work", "session_id": 9855, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "do you have one.", "session_id": 9855, "sequence_id": 24, "annotations": []}
{"role": "student", "content": ".", "session_id": 9855, "sequence_id": 25, "annotations": []}
{"role": "student", "content": ".", "session_id": 9855, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "?", "session_id": 9855, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "I also have one that\u2019s confusing", "session_id": 9855, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "let's do yours", "session_id": 9855, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "Hi.  How are you?", "session_id": 10374, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "hi", "session_id": 10374, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "good hbu", "session_id": 10374, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "Good.", "session_id": 10374, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "Can I turn on my audio?", "session_id": 10374, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "only thing I haveto do here is to find the vertical and horizontal asymptote", "session_id": 10374, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "Ok", "session_id": 10374, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "So Alice, I turned on my microphone if you want to turn on yours, you can.", "session_id": 10374, "sequence_id": 7, "annotations": [{"pii_type": "PERSON", "surrogate": "Alice", "start": 3, "end": 8}]}
{"role": "volunteer", "content": "Um,", "session_id": 10374, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "let's", "session_id": 10374, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "go ahead and factor the numerator in the denominator.", "session_id": 10374, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "Um, can you do that for me?", "session_id": 10374, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "Let's factor both numerator and denominator.", "session_id": 10374, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "If you don't know how I'll help you.", "session_id": 10374, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "ok", "session_id": 10374, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "Do you want me to help you or do you wanna try it?", "session_id": 10374, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "i will try", "session_id": 10374, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "OK.", "session_id": 10374, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "That's good on the numerator", "session_id": 10374, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "That's good on the denominator, very good.", "session_id": 10374, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "So we can see that you factored it properly and actually the X + 1's canceling means that we have a hole in the function at X equals -1.", "session_id": 10374, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "yea", "session_id": 10374, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "So there's a hole in the function.", "session_id": 10374, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "Now, what the other one being, if we set 2 x minus 1 equal to 0.", "session_id": 10374, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "We find out that", "session_id": 10374, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "the horizon of the vertical asymptotepe is that X equals 1/2, if that makes sense to you.", "session_id": 10374, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "Do you see that", "session_id": 10374, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "yes", "session_id": 10374, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "OK, uh, um, then, your other question is what about the horizontal asymptote.", "session_id": 10374, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "You'll notice that in the original problem,", "session_id": 10374, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "the degree of the numerator is the same as the degree of the denominator.", "session_id": 10374, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "And therefore we can look at the coefficients of", "session_id": 10374, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "the x-squared terms, the ratio, which is 1/2", "session_id": 10374, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "and I believe we will have the horizontal asymptote as Y equals", "session_id": 10374, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "1/2. I'm going to put this in my graphing calculator to verify.", "session_id": 10374, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "but I believe that would be your horizontal asympto at Y equals 1/2.", "session_id": 10374, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "Does that make sense", "session_id": 10374, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "yes", "session_id": 10374, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "Let me go ahead and put it in my graphing calculator just to", "session_id": 10374, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "be sure of what we're", "session_id": 10374, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "so y=0", "session_id": 10374, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "our answers are here", "session_id": 10374, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "So give me a couple minutes to put this in here.", "session_id": 10374, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "okay", "session_id": 10374, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "Not Y equals 0. Y Y equals 1/2, right?", "session_id": 10374, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "On the horizontal", "session_id": 10374, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "oh yea i see that", "session_id": 10374, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "So x squared", "session_id": 10374, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "minus 3 X", "session_id": 10374, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "minus 4 in the numerator.", "session_id": 10374, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "and then the denominator is 2 x squared", "session_id": 10374, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "+", "session_id": 10374, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "X", "session_id": 10374, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "minus 1", "session_id": 10374, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "And I'm gonna", "session_id": 10374, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "oh, I blew that", "session_id": 10374, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "Give me a couple minutes to get this put in here.", "session_id": 10374, "sequence_id": 56, "annotations": []}
{"role": "student", "content": "ok", "session_id": 10374, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "So the X equals", "session_id": 10374, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "1/2 is definitely the vertical asymptote.", "session_id": 10374, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "and I'm looking at the Y", "session_id": 10374, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "values here", "session_id": 10374, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "Let me go do", "session_id": 10374, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "So it does look like Y equals 1/2 is your horizontal as of", "session_id": 10374, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "the graph seems to verify that.", "session_id": 10374, "sequence_id": 64, "annotations": []}
{"role": "student", "content": "yes", "session_id": 10374, "sequence_id": 65, "annotations": []}
{"role": "student", "content": "you using desmos?", "session_id": 10374, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "No, I was just using a Texas Instrument 80 TI 84 calculator.", "session_id": 10374, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "just to verify what we did analytically.", "session_id": 10374, "sequence_id": 68, "annotations": []}
{"role": "student", "content": "ohhh", "session_id": 10374, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "but I mean, when we factored it", "session_id": 10374, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "we factored it and we saw that we have the hole at x equals -1", "session_id": 10374, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "and we have the horizontal, I mean, vertical asympto at X equals 1/2.", "session_id": 10374, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "And then just by looking at the degree of the numerator and degree of the denominator being equal, we know that", "session_id": 10374, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "the coefficient of the", "session_id": 10374, "sequence_id": 74, "annotations": []}
{"role": "volunteer", "content": "polynomial on the top is one on the x-squared term and the coefficient of the polynomial on the bottom is", "session_id": 10374, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "2.", "session_id": 10374, "sequence_id": 76, "annotations": []}
{"role": "student", "content": "yesss", "session_id": 10374, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "on the x-squared term. And so 1/2", "session_id": 10374, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "is your", "session_id": 10374, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "Y equals 1/2 is your horizontal asymptote.", "session_id": 10374, "sequence_id": 80, "annotations": []}
{"role": "volunteer", "content": "and X equals, I mean X equals 1/2 as your", "session_id": 10374, "sequence_id": 81, "annotations": []}
{"role": "volunteer", "content": "Y equals", "session_id": 10374, "sequence_id": 82, "annotations": []}
{"role": "volunteer", "content": "I'm sorry, Y equals 1/2 and X equals", "session_id": 10374, "sequence_id": 83, "annotations": []}
{"role": "volunteer", "content": "1", "session_id": 10374, "sequence_id": 84, "annotations": []}
{"role": "volunteer", "content": "Ah, no, X equals 1/2", "session_id": 10374, "sequence_id": 85, "annotations": []}
{"role": "volunteer", "content": "Sorry.", "session_id": 10374, "sequence_id": 86, "annotations": []}
{"role": "volunteer", "content": "X equals 1/2 on the vertical asymptode.", "session_id": 10374, "sequence_id": 87, "annotations": []}
{"role": "volunteer", "content": "That should be your answer", "session_id": 10374, "sequence_id": 88, "annotations": []}
{"role": "volunteer", "content": "for both of them", "session_id": 10374, "sequence_id": 89, "annotations": []}
{"role": "student", "content": "ok great", "session_id": 10374, "sequence_id": 90, "annotations": []}
{"role": "volunteer", "content": "Anything else", "session_id": 10374, "sequence_id": 91, "annotations": []}
{"role": "student", "content": "thats it", "session_id": 10374, "sequence_id": 92, "annotations": []}
{"role": "volunteer", "content": "Great", "session_id": 10374, "sequence_id": 93, "annotations": []}
{"role": "volunteer", "content": "You have a great day now", "session_id": 10374, "sequence_id": 94, "annotations": []}
{"role": "student", "content": "your the best, thank you", "session_id": 10374, "sequence_id": 95, "annotations": []}
{"role": "volunteer", "content": "You're welcome", "session_id": 10374, "sequence_id": 96, "annotations": []}
{"role": "student", "content": "hi", "session_id": 8382, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "Hi Chris", "session_id": 8382, "sequence_id": 1, "annotations": [{"pii_type": "PERSON", "surrogate": "Chris", "start": 3, "end": 8}]}
{"role": "student", "content": "I'm working on a problem, I just want to make sure I am doing it right", "session_id": 8382, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "OK. Can you upload the question?", "session_id": 8382, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "yes one second", "session_id": 8382, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "so I have to find the radius and interval", "session_id": 8382, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "so I started by using the ratio test", "session_id": 8382, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "This is where I am at", "session_id": 8382, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "Looks good so far. The next step is to try to simplify and find the limit.", "session_id": 8382, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "Notice that (x-2025)^n cancels out top and bottom, correct?", "session_id": 8382, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "I think I did something wrong because I don't have an n anywhere", "session_id": 8382, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "I'll show you on the board.", "session_id": 8382, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "We focus on the terms in n^2 and ignore the lower-order terms in \"n\" as n\u2192\u221e.", "session_id": 8382, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "Now we can find the limit.", "session_id": 8382, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "OK so far?", "session_id": 8382, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "yes", "session_id": 8382, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "For the series to converge, the limit has to be < 1. This gives us the radius of convergence.", "session_id": 8382, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "oh yea", "session_id": 8382, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "ok I think I know what to do next", "session_id": 8382, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "Awesome!", "session_id": 8382, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "And the radius of convergence is *half* the interval of convergence.", "session_id": 8382, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "The interval of convergence simplifies to: 2024<x<2026. We could also check the two values, x = 2024 and x=2026 to see if the series converges.", "session_id": 8382, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "is the radius 1?", "session_id": 8382, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "Yes.", "session_id": 8382, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "ok", "session_id": 8382, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "We can also show that we can include the end values in the interval: 2024\u2264x\u22642026. I can explain if you wish.", "session_id": 8382, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "No I think that makes sense", "session_id": 8382, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "like [2024,2026]?", "session_id": 8382, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "Yes.", "session_id": 8382, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "oki sounds good", "session_id": 8382, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "thank you!", "session_id": 8382, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "You're welcome. Enjoy the rest of your day.", "session_id": 8382, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "Hello, how can I assist you?", "session_id": 8322, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "Hi can you please explain the angles and side congruence theorems", "session_id": 8322, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "sure. give me one moment to refresh myself on the topic.", "session_id": 8322, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "These guys?", "session_id": 8322, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "yes", "session_id": 8322, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "So, what is it that you don't understand?", "session_id": 8322, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "they are confusing", "session_id": 8322, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "ok, got it.", "session_id": 8322, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "You're using these for proofs, correct?", "session_id": 8322, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "yes", "session_id": 8322, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "The basic idea behind these is that each one is \"proof\" that the triangles are congruent.", "session_id": 8322, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "You see if the current problem you have about triangles fits into one of these situations. If it does, then you have proof by that rule (e.g. SSS, SAS, etc.) that the triangles are congruent.", "session_id": 8322, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "Does that help a little? This is like a checklist to see if the triangles really match up. \"Do we know if all 3 sides are the same?\" \"Do we know if 2 sides are the same and the angle between?\" if the answer is yes to any of those, then you have proof the triangles are congruent.", "session_id": 8322, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "ok i get it", "session_id": 8322, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "Great!", "session_id": 8322, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "what about ssa? why that doesnt work", "session_id": 8322, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "You're definitely reasoning the way you're supposed to be for this class. Excellent question. Give me one moment, I want to see if I can google a counter argument image on this.", "session_id": 8322, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "So for SSA, you cannot know the extent of the adjacent angle, which means you can't know if the sides are the same. So, it's not enough information.", "session_id": 8322, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "For AAA, as long as all 3 sides are increased or decreased equally then the angles will remain the same. So angles also are not enough to know for certain that the triangles are congruent.", "session_id": 8322, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "what do you mean by 'extent of the adjacent angles'", "session_id": 8322, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "Sorry, let me rephrase. In the image where I have the black arrow..", "session_id": 8322, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "We know the length of the sides connected to each other, 6 and 11.", "session_id": 8322, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "But we don't know the angle in between. Because this is the case, we don't know where the third side  starts.", "session_id": 8322, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "so it's because the two sides aren't same?", "session_id": 8322, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "It doesn't work because we don't have enough information. Not knowing the angle in between means that the 6 length line could be angled to end anywhere on that green curve...but we can't know for sure where. So we aren't 100% certain. So it's not proof.", "session_id": 8322, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "The sides are the same though, that is true.", "session_id": 8322, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "In this example, triangle DAB and DAC have 2 identical sides and 1 identical angle, but triangles that are not congruent.", "session_id": 8322, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "Does that help to visualize why SSA cannot be certain proof that 2 triangles are congruent?", "session_id": 8322, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "sorry i still don't understand but let's forget about it. can you give me some problems involving the theorems?", "session_id": 8322, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "I'm terribly sorry these are ridiculous", "session_id": 8322, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "Can we prove that these two triangles 100% identical?", "session_id": 8322, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "we cant i thinmk", "session_id": 8322, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "Very good. That's what we had just talked about with SSA.", "session_id": 8322, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "How about these?", "session_id": 8322, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "Does this pair of triangles align with any of these forms of proof?", "session_id": 8322, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "we still cant we dont know if the angles are congruent", "session_id": 8322, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "The single and double curves are to mean that the angles are identical. Single with single and double with double. Same applies to the dashes going through the sides.", "session_id": 8322, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "So, one after the other, list what we know are identical between these triangles using As and Ss.", "session_id": 8322, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "so it's asa?", "session_id": 8322, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "Yes it is! Very good!", "session_id": 8322, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "And, since we know it is ASA, we have PROOF that these triangles are congruent.", "session_id": 8322, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "another problem please", "session_id": 8322, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "The red show what is identical. How can we know if these triangles  are congruent?", "session_id": 8322, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "With what theorem do these triangles align?", "session_id": 8322, "sequence_id": 43, "annotations": []}
{"role": "student", "content": "the first two are not. the second two is asa", "session_id": 8322, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "Yes on the second one.", "session_id": 8322, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "For the first, write out the Ss and As that we know. Then try to match it with a theorem.", "session_id": 8322, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "though two sides and one angle match, but they aren't corresponding meaning they aren't on the same position if the two triangles are side by side", "session_id": 8322, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "So, you have indeed identified a mismatch, however congruence isn't dependent on position. So, we could turn it again and the result would still be S(1 line) A(1 curve) S(2 lines) = SAS for BOTH triangles still. Therefore, since we know it is SAS, we know they are congruent. Even when turned.", "session_id": 8322, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "This 3rd triangle is still congruent as it is still SAS.", "session_id": 8322, "sequence_id": 49, "annotations": []}
{"role": "student", "content": "oh that kinda makes sense", "session_id": 8322, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "Pay attention to the lines and curves. Those will tell you what is the same, then pick a start point and list what we know as As and Ss. Then see if it aligns with a theorem that proves they are congruent.", "session_id": 8322, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "Lines and curves, change to As and Ss, then match it up with your checklist. No match means we don't know.", "session_id": 8322, "sequence_id": 52, "annotations": []}
{"role": "student", "content": "sometimes i have to flip the triangle to match?", "session_id": 8322, "sequence_id": 53, "annotations": []}
{"role": "student", "content": "do problems involving these theorems are only finding what theorem is applied? or there are other types of problems with these theorems.", "session_id": 8322, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "No flipping is needed. Just comparison.", "session_id": 8322, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "And yes.", "session_id": 8322, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "You will be doing \"proofs\" to imply things you know about shapes and how similar they are to one another. You will literally list off that the sides and angles match up according to SSS, SAS, AAS, etc.", "session_id": 8322, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "The whole purpose is to 100% percent certainty with as little information as possible.", "session_id": 8322, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "The theorems are proven examples of how little information you need about a shape to show it is identical to another shape.", "session_id": 8322, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "So instead of doing all the extra math and working with cosines and tangents, you can just say they're identical because ASA.", "session_id": 8322, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "And there are a bunch of theorems to prove what's true about 2 or more shapes. They become puzzles because the theorems are like short cuts.", "session_id": 8322, "sequence_id": 61, "annotations": []}
{"role": "student", "content": "thank you for your help", "session_id": 8322, "sequence_id": 62, "annotations": []}
{"role": "student", "content": "I would like to end the session", "session_id": 8322, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "Absolutely. I appreciate your effort. Thank you.", "session_id": 8322, "sequence_id": 64, "annotations": []}
{"role": "student", "content": "I don't understand this partial fraction decomposition question cuz I got it wrong :(", "session_id": 8301, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "What are we supposed to do with this expression?", "session_id": 8301, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "I uploaded the instructions", "session_id": 8301, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "OK.  \nThank you.", "session_id": 8301, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "yw! also can you use mic it would be much easier but if not that still works", "session_id": 8301, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "Just a minute while I look something up, please", "session_id": 8301, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "ok take your time!", "session_id": 8301, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "OK, so we want  to express this as a polynomial plus a fraction with a simpler denominator.  Is that correct?", "session_id": 8301, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "yes", "session_id": 8301, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "wait can u open ur mic?", "session_id": 8301, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "Can you hear me", "session_id": 8301, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "Oh yeah, I can hear you. Can you hear me?", "session_id": 8301, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "Hello", "session_id": 8301, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "No, I didn't hear.", "session_id": 8301, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "Oh, OK. I'm sorry.", "session_id": 8301, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "Can you hear me now", "session_id": 8301, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "It's OK if you want, you can.", "session_id": 8301, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "No, but I can read what you said.", "session_id": 8301, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "OK, that works", "session_id": 8301, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "I've never used the mic before at my apartment.", "session_id": 8301, "sequence_id": 19, "annotations": [{"pii_type": "LOCATION", "surrogate": "my apartment", "start": 34, "end": 46}]}
{"role": "student", "content": "Oh, OK, I understand.", "session_id": 8301, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "You can get started now if you want.", "session_id": 8301, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 8301, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "So", "session_id": 8301, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "how do you start the problem?", "session_id": 8301, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "Um, so what I did,", "session_id": 8301, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "I mean, do you know how to start? Do you have a", "session_id": 8301, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "so what I did was that I um I I got the answer wrong. What I did was I like simplified the denominator into x + 12.", "session_id": 8301, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "and then I did A is equal to x + 1 and B is plus B is.", "session_id": 8301, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "over x + 12.", "session_id": 8301, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "uh", "session_id": 8301, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "wait, just a second. I don't think this translated what you said right.", "session_id": 8301, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "Maybe turn your microphone up.", "session_id": 8301, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "They did not", "session_id": 8301, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "I mean sound", "session_id": 8301, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "and denominator is", "session_id": 8301, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "X + 1", "session_id": 8301, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "The denominator is (x+1)^2", "session_id": 8301, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "squared, right?", "session_id": 8301, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "what is said was I did that, so then I did A/x+1 + b/x+1)^2", "session_id": 8301, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 8301, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "Now we want to find A and B", "session_id": 8301, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "So, what is the next step", "session_id": 8301, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "so you would multiply the denominator by the numerators", "session_id": 8301, "sequence_id": 43, "annotations": []}
{"role": "student", "content": "like that?", "session_id": 8301, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "That looks right", "session_id": 8301, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "ok from there I get confused", "session_id": 8301, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "Just a minute", "session_id": 8301, "sequence_id": 47, "annotations": []}
{"role": "student", "content": "okay", "session_id": 8301, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 8301, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "And uh", "session_id": 8301, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "If this has to be true for all x, we can put in values of x to get equations we can solve for A and B", "session_id": 8301, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "pls show me how", "session_id": 8301, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "But we want to use values of x that make it easy.", "session_id": 8301, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "Hmm", "session_id": 8301, "sequence_id": 54, "annotations": []}
{"role": "student", "content": "im kind of confused, where did the -1 and 0 come from?", "session_id": 8301, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "I chose x=-1 because it makes A drop out of the equation.", "session_id": 8301, "sequence_id": 56, "annotations": []}
{"role": "student", "content": "what about the 0?", "session_id": 8301, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "But then if I choose say, x=0", "session_id": 8301, "sequence_id": 58, "annotations": []}
{"role": "student", "content": "I'm so sorry but I have to go now! I might come back but right now I need to go so sorry bye!", "session_id": 8301, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "The form we tried, A/(x+1) + B/(x+1)^2  doesn't work in this case because both numerator and denominator have x^2 as their highest power.  In this case we have to use  A + B/(x+1) +C/(x+1)^2", "session_id": 8301, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "Then we do the same thing as before, multiply by (x+1)^2 and we get", "session_id": 8301, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "x^2 = A(x+1)^2 +B(x+1) +C", "session_id": 8301, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "Then we can gather together all the terms in x^2, all the terms in x, and all the terms without any x.  And we can put everything on one side of the equation", "session_id": 8301, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "0= (A-1)x^2 + (2A+B)x +C", "session_id": 8301, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "wrong", "session_id": 8301, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "0=(A-1)x^2 +(2A+B)x +(A+B+C)", "session_id": 8301, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "If this is true for all x, then the coefficient of each power of x must equal 0", "session_id": 8301, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "A=1, B=-2, C=1", "session_id": 8301, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "If you put these values into the expression we started with and combine the fractions, you will get the original expression back.", "session_id": 8301, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "Sorry I didn't have this at the tip of my fingers while we were in session.", "session_id": 8301, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "Hi! What do you need help with?", "session_id": 9659, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "hi i just wanted help on this", "session_id": 9659, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "Hi! Okay, is there a small and big picture given?", "session_id": 9659, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "Or is this all you have", "session_id": 9659, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "Okay! So what they want you to do is measure five parts of each one", "session_id": 9659, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "Do you want to start by selecting the 5 objects?", "session_id": 9659, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "ohhh", "session_id": 9659, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "I don't know which one to", "session_id": 9659, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "Wait I am sorry", "session_id": 9659, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "pick.", "session_id": 9659, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "That's okay because they randomly picked the eyebrow for their example I think it's up to you", "session_id": 9659, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "I feel like doing the star, the buttons, and ears would be easy", "session_id": 9659, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "You can pick the other two!", "session_id": 9659, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "Or if you don't like one of the ones I listed", "session_id": 9659, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "yes", "session_id": 9659, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "You can change that too", "session_id": 9659, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "i think its fine!!", "session_id": 9659, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "it doesnt have any eyebrows", "session_id": 9659, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "but we can do the star", "session_id": 9659, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "Yeah, idk if that was just a random thing they came up with?? That was confusing", "session_id": 9659, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "but idk how should i measure like top or side", "session_id": 9659, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "yes lol", "session_id": 9659, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "I feel like it should be the same as long you measure it the same way for both", "session_id": 9659, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "It shouldn't matter", "session_id": 9659, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "wait like this", "session_id": 9659, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "idk bc the big eyebrow was 4 inches and the same eyebrows were 8 bc they meausred the big image and then then the small image", "session_id": 9659, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "*big", "session_id": 9659, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "I think the example isn't good", "session_id": 9659, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "I don't know how the big eyebrow can be smaller than the small eyebrow??", "session_id": 9659, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "like that doesn't make sense", "session_id": 9659, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "bc the small image the one i circled", "session_id": 9659, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "is smaller than the big image", "session_id": 9659, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "right! I get that, but that that would be that the star in the smaller image would be smaller than the star in the bigger image", "session_id": 9659, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "right?", "session_id": 9659, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "yes", "session_id": 9659, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "Which is why the eyebrow doesn't make sense because the big eyebrow is smaller than the small eyebrow", "session_id": 9659, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "isn't it 4/8?", "session_id": 9659, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "Oh wait!", "session_id": 9659, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "It's .8", "session_id": 9659, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "That makes more sense", "session_id": 9659, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "I was trying to figure out how the smaller image could have a bigger eyebrow", "session_id": 9659, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "i still dont know how i should measure the star", "session_id": 9659, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "ohhh", "session_id": 9659, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "i see", "session_id": 9659, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "You can measure the star any way you want as long as you do it the same way for both", "session_id": 9659, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "If you measure from one tip to another", "session_id": 9659, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "make sure you measure it from the same points on your smaller star", "session_id": 9659, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "okkkk", "session_id": 9659, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "Can you do that and let me know what you get?", "session_id": 9659, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "yes", "session_id": 9659, "sequence_id": 49, "annotations": []}
{"role": "student", "content": "3.1 inches", "session_id": 9659, "sequence_id": 50, "annotations": []}
{"role": "student", "content": "for the big image", "session_id": 9659, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "and 0.5 for the small", "session_id": 9659, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "I can't verify your answers because I can't measure it, but based on what we get for part b-e I can get a sense of if we did it right.", "session_id": 9659, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "Great! Now we have to make a ratio", "session_id": 9659, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "big star/small star", "session_id": 9659, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "Let me know what you get", "session_id": 9659, "sequence_id": 56, "annotations": []}
{"role": "student", "content": "wait what", "session_id": 9659, "sequence_id": 57, "annotations": []}
{"role": "student", "content": "big star over small star and i divided", "session_id": 9659, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "Yep!", "session_id": 9659, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "That should be your answer for a", "session_id": 9659, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "What do you want to measure for b?", "session_id": 9659, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "Also what did you get when you divided", "session_id": 9659, "sequence_id": 62, "annotations": []}
{"role": "student", "content": "6.2 it the answer", "session_id": 9659, "sequence_id": 63, "annotations": []}
{"role": "student", "content": "??", "session_id": 9659, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "Okay here is this issue because it uses things you have in person I can't check your answers", "session_id": 9659, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "but if you did it right when you measure something else for part b and then divide that (big/small)", "session_id": 9659, "sequence_id": 66, "annotations": []}
{"role": "student", "content": "b we can measure the bottons", "session_id": 9659, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "you should get the same answer", "session_id": 9659, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "Does that make sense?", "session_id": 9659, "sequence_id": 69, "annotations": []}
{"role": "student", "content": "no", "session_id": 9659, "sequence_id": 70, "annotations": []}
{"role": "student", "content": "can you restate it", "session_id": 9659, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "Okay!", "session_id": 9659, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "So because both images are the same just different sizes", "session_id": 9659, "sequence_id": 73, "annotations": []}
{"role": "student", "content": "yes", "session_id": 9659, "sequence_id": 74, "annotations": []}
{"role": "volunteer", "content": "Everything in the image should have the same ratio", "session_id": 9659, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "If I took a triangle and doubled it in size", "session_id": 9659, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "Everything inside that triangle will be 2 times bigger", "session_id": 9659, "sequence_id": 77, "annotations": []}
{"role": "student", "content": "Liam!!", "session_id": 9659, "sequence_id": 78, "annotations": [{"pii_type": "PERSON", "surrogate": "Liam", "start": 0, "end": 4}]}
{"role": "volunteer", "content": "So if you measured correctly everything should be 6.2 times bigger", "session_id": 9659, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "Does that make sense?", "session_id": 9659, "sequence_id": 80, "annotations": []}
{"role": "student", "content": "yes i hope it doesnt change", "session_id": 9659, "sequence_id": 81, "annotations": []}
{"role": "student", "content": "bc the small star was closer to 0.5 than 0.6", "session_id": 9659, "sequence_id": 82, "annotations": []}
{"role": "volunteer", "content": "If it's close we can always go back and fix that", "session_id": 9659, "sequence_id": 83, "annotations": []}
{"role": "volunteer", "content": "So don't worry too much about it", "session_id": 9659, "sequence_id": 84, "annotations": []}
{"role": "student", "content": "Liam", "session_id": 9659, "sequence_id": 85, "annotations": [{"pii_type": "PERSON", "surrogate": "Liam", "start": 0, "end": 4}]}
{"role": "student", "content": "should i measure the bottons now", "session_id": 9659, "sequence_id": 86, "annotations": []}
{"role": "volunteer", "content": "Sure!", "session_id": 9659, "sequence_id": 87, "annotations": []}
{"role": "student", "content": "the shapes arent the same a little bc i had to draw it myslef", "session_id": 9659, "sequence_id": 88, "annotations": []}
{"role": "student", "content": "myself*", "session_id": 9659, "sequence_id": 89, "annotations": []}
{"role": "student", "content": "is that okay?", "session_id": 9659, "sequence_id": 90, "annotations": []}
{"role": "volunteer", "content": "That's okay, I don't know if your answers will be perfectly the same but we can try and work with that", "session_id": 9659, "sequence_id": 91, "annotations": []}
{"role": "student", "content": "or should i measure smth else", "session_id": 9659, "sequence_id": 92, "annotations": []}
{"role": "student", "content": "okk", "session_id": 9659, "sequence_id": 93, "annotations": []}
{"role": "volunteer", "content": "Try measuring it if we don't get the same answers we can go ahead and measure something else", "session_id": 9659, "sequence_id": 94, "annotations": []}
{"role": "student", "content": "the first botton is 2 and the second botton is 1/9", "session_id": 9659, "sequence_id": 95, "annotations": []}
{"role": "student", "content": "1.9", "session_id": 9659, "sequence_id": 96, "annotations": []}
{"role": "student", "content": "no i mean 1.8", "session_id": 9659, "sequence_id": 97, "annotations": []}
{"role": "student", "content": "the small botton is 0.6", "session_id": 9659, "sequence_id": 98, "annotations": []}
{"role": "student", "content": "and the other botton is 0.5", "session_id": 9659, "sequence_id": 99, "annotations": []}
{"role": "volunteer", "content": "Okay, so that didn't give us the same answers", "session_id": 9659, "sequence_id": 100, "annotations": []}
{"role": "student", "content": "yea", "session_id": 9659, "sequence_id": 101, "annotations": []}
{"role": "volunteer", "content": "Because 2/.6 is 3.33", "session_id": 9659, "sequence_id": 102, "annotations": []}
{"role": "volunteer", "content": "Try something else that you didn't draw in?", "session_id": 9659, "sequence_id": 103, "annotations": []}
{"role": "volunteer", "content": "That might be the issue", "session_id": 9659, "sequence_id": 104, "annotations": []}
{"role": "student", "content": "i drew the whole thing lol", "session_id": 9659, "sequence_id": 105, "annotations": []}
{"role": "student", "content": "how about the show", "session_id": 9659, "sequence_id": 106, "annotations": []}
{"role": "student", "content": "shoe", "session_id": 9659, "sequence_id": 107, "annotations": []}
{"role": "volunteer", "content": "Sure!", "session_id": 9659, "sequence_id": 108, "annotations": []}
{"role": "student", "content": "how should i measure", "session_id": 9659, "sequence_id": 109, "annotations": []}
{"role": "volunteer", "content": "I think that might be easier", "session_id": 9659, "sequence_id": 110, "annotations": []}
{"role": "student", "content": "Hmm?", "session_id": 9659, "sequence_id": 111, "annotations": []}
{"role": "student", "content": "the both too shoes or just one", "session_id": 9659, "sequence_id": 112, "annotations": []}
{"role": "volunteer", "content": "One is fine!", "session_id": 9659, "sequence_id": 113, "annotations": []}
{"role": "student", "content": "i got 6.12 inches for the big feet", "session_id": 9659, "sequence_id": 114, "annotations": []}
{"role": "student", "content": "and the small on i got 1.2", "session_id": 9659, "sequence_id": 115, "annotations": []}
{"role": "volunteer", "content": "That might be the closest we are going to get, so I would keep that.", "session_id": 9659, "sequence_id": 116, "annotations": []}
{"role": "student", "content": "okk", "session_id": 9659, "sequence_id": 117, "annotations": []}
{"role": "volunteer", "content": "There is going to be some room for it being slightly bigger or smaller because you drew it yourself and I think your teacher would understand", "session_id": 9659, "sequence_id": 118, "annotations": []}
{"role": "volunteer", "content": "Plus the second question asks if it is proportional, so you could just say that it isn't there", "session_id": 9659, "sequence_id": 119, "annotations": []}
{"role": "volunteer", "content": "Because we didn't get the exact same answers", "session_id": 9659, "sequence_id": 120, "annotations": []}
{"role": "student", "content": "is it suppose to be the same answers??", "session_id": 9659, "sequence_id": 121, "annotations": []}
{"role": "volunteer", "content": "I don't think it can be because you drew it yourself", "session_id": 9659, "sequence_id": 122, "annotations": []}
{"role": "volunteer", "content": "There is going to be differences", "session_id": 9659, "sequence_id": 123, "annotations": []}
{"role": "volunteer", "content": "So no, I don't think so", "session_id": 9659, "sequence_id": 124, "annotations": []}
{"role": "volunteer", "content": "does that make sense?", "session_id": 9659, "sequence_id": 125, "annotations": []}
{"role": "student", "content": "yes it makes sense", "session_id": 9659, "sequence_id": 126, "annotations": []}
{"role": "volunteer", "content": "Okay! What did you get for your ratio?", "session_id": 9659, "sequence_id": 127, "annotations": []}
{"role": "student", "content": "5.1", "session_id": 9659, "sequence_id": 128, "annotations": []}
{"role": "volunteer", "content": "Yep!", "session_id": 9659, "sequence_id": 129, "annotations": []}
{"role": "volunteer", "content": "Pick another object", "session_id": 9659, "sequence_id": 130, "annotations": []}
{"role": "student", "content": "this is def not proportional", "session_id": 9659, "sequence_id": 131, "annotations": []}
{"role": "student", "content": "idk which one to pick", "session_id": 9659, "sequence_id": 132, "annotations": []}
{"role": "volunteer", "content": "Ummm maybe the eyes??", "session_id": 9659, "sequence_id": 133, "annotations": []}
{"role": "student", "content": "good one!!", "session_id": 9659, "sequence_id": 134, "annotations": []}
{"role": "student", "content": "0.6 for the right eye", "session_id": 9659, "sequence_id": 135, "annotations": []}
{"role": "student", "content": "2.6 for the big eye", "session_id": 9659, "sequence_id": 136, "annotations": []}
{"role": "student", "content": "??", "session_id": 9659, "sequence_id": 137, "annotations": []}
{"role": "volunteer", "content": "Okay! What did you get for your ratio?", "session_id": 9659, "sequence_id": 138, "annotations": []}
{"role": "student", "content": "4.4.33", "session_id": 9659, "sequence_id": 139, "annotations": []}
{"role": "volunteer", "content": "Great! What do you want to measure next?", "session_id": 9659, "sequence_id": 140, "annotations": []}
{"role": "student", "content": "can you pick again", "session_id": 9659, "sequence_id": 141, "annotations": []}
{"role": "volunteer", "content": "The nose maybe?", "session_id": 9659, "sequence_id": 142, "annotations": []}
{"role": "student", "content": "should i do it up or side ways", "session_id": 9659, "sequence_id": 143, "annotations": []}
{"role": "volunteer", "content": "Sideways", "session_id": 9659, "sequence_id": 144, "annotations": []}
{"role": "student", "content": "big nose 2.4", "session_id": 9659, "sequence_id": 145, "annotations": []}
{"role": "student", "content": "small nose 0.7", "session_id": 9659, "sequence_id": 146, "annotations": []}
{"role": "volunteer", "content": "Ok, what did you get for the ratio?", "session_id": 9659, "sequence_id": 147, "annotations": []}
{"role": "student", "content": "3.3.43", "session_id": 9659, "sequence_id": 148, "annotations": []}
{"role": "volunteer", "content": "Great, which part are you on?", "session_id": 9659, "sequence_id": 149, "annotations": []}
{"role": "student", "content": "one more", "session_id": 9659, "sequence_id": 150, "annotations": []}
{"role": "volunteer", "content": "Okay, do you want to pick the next one?", "session_id": 9659, "sequence_id": 151, "annotations": []}
{"role": "student", "content": "ears??", "session_id": 9659, "sequence_id": 152, "annotations": []}
{"role": "volunteer", "content": "Sure!", "session_id": 9659, "sequence_id": 153, "annotations": []}
{"role": "student", "content": "sorry for taking to long", "session_id": 9659, "sequence_id": 154, "annotations": []}
{"role": "volunteer", "content": "You're fine!", "session_id": 9659, "sequence_id": 155, "annotations": []}
{"role": "volunteer", "content": "Don't apologize", "session_id": 9659, "sequence_id": 156, "annotations": []}
{"role": "student", "content": "i think i should pick a different one bc it doesnt look accurate", "session_id": 9659, "sequence_id": 157, "annotations": []}
{"role": "volunteer", "content": "Ok do you have something else in mind?", "session_id": 9659, "sequence_id": 158, "annotations": []}
{"role": "student", "content": "no", "session_id": 9659, "sequence_id": 159, "annotations": []}
{"role": "student", "content": "idk which one topick", "session_id": 9659, "sequence_id": 160, "annotations": []}
{"role": "volunteer", "content": "Uhh the arm might work?", "session_id": 9659, "sequence_id": 161, "annotations": []}
{"role": "student", "content": "yes wait can you make the line clear", "session_id": 9659, "sequence_id": 162, "annotations": []}
{"role": "student", "content": "lol", "session_id": 9659, "sequence_id": 163, "annotations": []}
{"role": "student", "content": "Oh?", "session_id": 9659, "sequence_id": 164, "annotations": []}
{"role": "volunteer", "content": "The green wasn't working so I went over it with red", "session_id": 9659, "sequence_id": 165, "annotations": []}
{"role": "student", "content": "thank youu", "session_id": 9659, "sequence_id": 166, "annotations": []}
{"role": "volunteer", "content": "of course!", "session_id": 9659, "sequence_id": 167, "annotations": []}
{"role": "student", "content": "4.2 for the large one", "session_id": 9659, "sequence_id": 168, "annotations": []}
{"role": "student", "content": "0.13 for the small arm", "session_id": 9659, "sequence_id": 169, "annotations": []}
{"role": "volunteer", "content": "Maybe we should do something else instead? That's a huge difference", "session_id": 9659, "sequence_id": 170, "annotations": []}
{"role": "student", "content": "Liam", "session_id": 9659, "sequence_id": 171, "annotations": [{"pii_type": "PERSON", "surrogate": "Liam", "start": 0, "end": 4}]}
{"role": "volunteer", "content": "I got 32.3.07", "session_id": 9659, "sequence_id": 172, "annotations": []}
{"role": "student", "content": "samee", "session_id": 9659, "sequence_id": 173, "annotations": []}
{"role": "student", "content": "which one should i do", "session_id": 9659, "sequence_id": 174, "annotations": []}
{"role": "volunteer", "content": "Umm maybe the shorts", "session_id": 9659, "sequence_id": 175, "annotations": []}
{"role": "student", "content": "yesss!", "session_id": 9659, "sequence_id": 176, "annotations": []}
{"role": "student", "content": "4.10", "session_id": 9659, "sequence_id": 177, "annotations": []}
{"role": "student", "content": "for the big one", "session_id": 9659, "sequence_id": 178, "annotations": []}
{"role": "student", "content": "and the small one 1.1", "session_id": 9659, "sequence_id": 179, "annotations": []}
{"role": "volunteer", "content": "Okay that one makes sense!", "session_id": 9659, "sequence_id": 180, "annotations": []}
{"role": "volunteer", "content": "I think we are good", "session_id": 9659, "sequence_id": 181, "annotations": []}
{"role": "student", "content": "yes thanks to you", "session_id": 9659, "sequence_id": 182, "annotations": []}
{"role": "volunteer", "content": "What did you get for your ratio", "session_id": 9659, "sequence_id": 183, "annotations": []}
{"role": "student", "content": "i got 3.3.73", "session_id": 9659, "sequence_id": 184, "annotations": []}
{"role": "volunteer", "content": "Okay Great!", "session_id": 9659, "sequence_id": 185, "annotations": []}
{"role": "volunteer", "content": "And then for number 5 because our answers are not the same", "session_id": 9659, "sequence_id": 186, "annotations": []}
{"role": "volunteer", "content": "Is it proportional or not?", "session_id": 9659, "sequence_id": 187, "annotations": []}
{"role": "student", "content": "no", "session_id": 9659, "sequence_id": 188, "annotations": []}
{"role": "student", "content": "because we dont get the same answers", "session_id": 9659, "sequence_id": 189, "annotations": []}
{"role": "volunteer", "content": "Yep! That's right!", "session_id": 9659, "sequence_id": 190, "annotations": []}
{"role": "student", "content": "how should i right it into a sentence", "session_id": 9659, "sequence_id": 191, "annotations": []}
{"role": "volunteer", "content": "The project is not proportional because the ratios for the different sections were not the same.", "session_id": 9659, "sequence_id": 192, "annotations": []}
{"role": "student", "content": "Liam", "session_id": 9659, "sequence_id": 193, "annotations": [{"pii_type": "PERSON", "surrogate": "Liam", "start": 0, "end": 4}]}
{"role": "volunteer", "content": "You're welcome!", "session_id": 9659, "sequence_id": 194, "annotations": []}
{"role": "volunteer", "content": "Do you need help with anything else?", "session_id": 9659, "sequence_id": 195, "annotations": []}
{"role": "student", "content": "yes but are you sure your not tired of this", "session_id": 9659, "sequence_id": 196, "annotations": []}
{"role": "volunteer", "content": "I can stay for fifteen more minutes so I guess it depends on what it would be", "session_id": 9659, "sequence_id": 197, "annotations": []}
{"role": "volunteer", "content": "Cause it might be easier for you if you worked with someone who could stay the entire time if it would take longer", "session_id": 9659, "sequence_id": 198, "annotations": []}
{"role": "student", "content": "i was just going to ask if its good", "session_id": 9659, "sequence_id": 199, "annotations": []}
{"role": "student", "content": "wait let me show an image", "session_id": 9659, "sequence_id": 200, "annotations": []}
{"role": "student", "content": "wait is it hard to read", "session_id": 9659, "sequence_id": 201, "annotations": []}
{"role": "volunteer", "content": "A little?", "session_id": 9659, "sequence_id": 202, "annotations": []}
{"role": "volunteer", "content": "I can't see the first line clearly", "session_id": 9659, "sequence_id": 203, "annotations": []}
{"role": "volunteer", "content": "But as far as I can see that makes sense!", "session_id": 9659, "sequence_id": 204, "annotations": []}
{"role": "volunteer", "content": "Do you need help coming up with other professions?", "session_id": 9659, "sequence_id": 205, "annotations": []}
{"role": "student", "content": "yes im so sorry", "session_id": 9659, "sequence_id": 206, "annotations": []}
{"role": "volunteer", "content": "Don't be!", "session_id": 9659, "sequence_id": 207, "annotations": []}
{"role": "volunteer", "content": "I was thinking of architects?", "session_id": 9659, "sequence_id": 208, "annotations": []}
{"role": "volunteer", "content": "They would have to create smaller models before they create an actual building", "session_id": 9659, "sequence_id": 209, "annotations": []}
{"role": "student", "content": "wait should i erase mines and make it smaller", "session_id": 9659, "sequence_id": 210, "annotations": []}
{"role": "student", "content": "the sentence", "session_id": 9659, "sequence_id": 211, "annotations": []}
{"role": "student", "content": "??", "session_id": 9659, "sequence_id": 212, "annotations": []}
{"role": "volunteer", "content": "No, your sentence is fine!", "session_id": 9659, "sequence_id": 213, "annotations": []}
{"role": "volunteer", "content": "I could make mine longer if you would like", "session_id": 9659, "sequence_id": 214, "annotations": []}
{"role": "student", "content": "can you make me the sentence", "session_id": 9659, "sequence_id": 215, "annotations": []}
{"role": "volunteer", "content": "When designing buildings architects have to create a scaled model or a blueprint. These smaller representations are similar figures to the final structure. This helps them make sure that the sizing of details like windows and doors are in scale to the rest of the house.", "session_id": 9659, "sequence_id": 216, "annotations": []}
{"role": "volunteer", "content": "Does that make sense?", "session_id": 9659, "sequence_id": 217, "annotations": []}
{"role": "student", "content": "can you chnage the photographer to the smae way you worte", "session_id": 9659, "sequence_id": 218, "annotations": []}
{"role": "student", "content": "yes makes so much sense then mines", "session_id": 9659, "sequence_id": 219, "annotations": []}
{"role": "volunteer", "content": "Umm I can try", "session_id": 9659, "sequence_id": 220, "annotations": []}
{"role": "student", "content": "thanks", "session_id": 9659, "sequence_id": 221, "annotations": []}
{"role": "volunteer", "content": "A photographer uses similar figures in order to make certain images look bigger or smaller. Two figures that are the same size may appear larger due to its positioning in the photograph.", "session_id": 9659, "sequence_id": 222, "annotations": []}
{"role": "volunteer", "content": "Does that make sense?", "session_id": 9659, "sequence_id": 223, "annotations": []}
{"role": "volunteer", "content": "If you dont like that as much I think yours sounds perfectly fine", "session_id": 9659, "sequence_id": 224, "annotations": []}
{"role": "student", "content": "doesnt make sense can you make it claer", "session_id": 9659, "sequence_id": 225, "annotations": []}
{"role": "volunteer", "content": "I unfortunately do have to go right now. I think you should just stick to your explanation for that one or request again and someone else would probably be able to help a bit better.", "session_id": 9659, "sequence_id": 226, "annotations": []}
{"role": "volunteer", "content": "Sorry!", "session_id": 9659, "sequence_id": 227, "annotations": []}
{"role": "student", "content": "no ur good", "session_id": 9659, "sequence_id": 228, "annotations": []}
{"role": "volunteer", "content": "Have a great day!", "session_id": 9659, "sequence_id": 229, "annotations": []}
{"role": "student", "content": "you too!!", "session_id": 9659, "sequence_id": 230, "annotations": []}
{"role": "volunteer", "content": "Hope I could helpn", "session_id": 9659, "sequence_id": 231, "annotations": []}
{"role": "volunteer", "content": "hello!", "session_id": 9679, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "hi", "session_id": 9679, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "Hi", "session_id": 9679, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "is there a certain problem you need help with?", "session_id": 9679, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "or maybe a concept?", "session_id": 9679, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "hello?", "session_id": 9679, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "ok hold on", "session_id": 9679, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "Emma is trying to 160\u00f742.\nSince 160\u00f740=4, she estimates the quotient is around 4.\nCheck Emma's estimate. How should she adjust her estimate?\nAdjust Emma's estimate as needed and find the quotient.\n168\u00f742=", "session_id": 9679, "sequence_id": 7, "annotations": [{"pii_type": "PERSON", "surrogate": "Emma", "start": 0, "end": 4}, {"pii_type": "PERSON", "surrogate": "Emma", "start": 88, "end": 92}, {"pii_type": "PERSON", "surrogate": "Emma", "start": 148, "end": 152}]}
{"role": "volunteer", "content": "Sorry, something has come up and i will need to transfer you to another person", "session_id": 9679, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "ok", "session_id": 9679, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "Hi, how may I help?", "session_id": 9702, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "Hello", "session_id": 9702, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "I just want help deepen my understanding with X and Y prealgebra problems", "session_id": 9702, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "what type of problems are you having trouble with?", "session_id": 9702, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "im not really having problems but i wanna keep practicing and maybe start learning linear equations", "session_id": 9702, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "what are you working on in class?", "session_id": 9702, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "so im in Algebra 101", "session_id": 9702, "sequence_id": 6, "annotations": [{"pii_type": "COURSE", "surrogate": "Algebra 101", "start": 9, "end": 20}]}
{"role": "volunteer", "content": "okay sound like fun", "session_id": 9702, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "kinda but i wanna push myself a little more", "session_id": 9702, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "okay let me find something to work on", "session_id": 9702, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "ok thank you", "session_id": 9702, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "correct", "session_id": 9702, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "ok", "session_id": 9702, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "correct", "session_id": 9702, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "ok", "session_id": 9702, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "is that the whole problem", "session_id": 9702, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 9702, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "-6=6/18???", "session_id": 9702, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "b", "session_id": 9702, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "ohhhh ok", "session_id": 9702, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "you forgot something", "session_id": 9702, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "simplify?", "session_id": 9702, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "negative", "session_id": 9702, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "correct", "session_id": 9702, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "so it was the negative i was missing", "session_id": 9702, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 9702, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "ohh ok thanks", "session_id": 9702, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "9x-7=-7?", "session_id": 9702, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "correct", "session_id": 9702, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "what i dont get it", "session_id": 9702, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "find x", "session_id": 9702, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "oh i thought the was a multipacation sign now i get it", "session_id": 9702, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "i am confused", "session_id": 9702, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "we can take it step by step", "session_id": 9702, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "ok", "session_id": 9702, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "we want to get x alone", "session_id": 9702, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "is it x=6", "session_id": 9702, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "-7+7=", "session_id": 9702, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "is 0 but 9 doesnt go into 14", "session_id": 9702, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "oops i accidently delelted your soory", "session_id": 9702, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "i am confused again", "session_id": 9702, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "we want to get v alone", "session_id": 9702, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "do you understand how i got here?", "session_id": 9702, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "no", "session_id": 9702, "sequence_id": 43, "annotations": []}
{"role": "student", "content": "why are you subtracting 10 then the answer is saying its addded by 10. I dont get it", "session_id": 9702, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "negative + negative = negative", "session_id": 9702, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "think of it you owe $104 and you just borrowed $10", "session_id": 9702, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "now you owe $114", "session_id": 9702, "sequence_id": 47, "annotations": []}
{"role": "student", "content": "but how did you know to add -10?", "session_id": 9702, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "10 is positive", "session_id": 9702, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "we want to get v alone so we move 10 to the other side", "session_id": 9702, "sequence_id": 50, "annotations": []}
{"role": "student", "content": "oh ok", "session_id": 9702, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "so then we divide 114 by 6???", "session_id": 9702, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "correct", "session_id": 9702, "sequence_id": 53, "annotations": []}
{"role": "student", "content": "ok", "session_id": 9702, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "correct", "session_id": 9702, "sequence_id": 55, "annotations": []}
{"role": "student", "content": "ok thanks", "session_id": 9702, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "start by getting 8n alone", "session_id": 9702, "sequence_id": 57, "annotations": []}
{"role": "student", "content": "did i get it correctz.", "session_id": 9702, "sequence_id": 58, "annotations": []}
{"role": "student", "content": "?*", "session_id": 9702, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "yes but how did you do it?", "session_id": 9702, "sequence_id": 60, "annotations": []}
{"role": "student", "content": "i did 31-7=24 and 24 divided by 8=3 so n=3", "session_id": 9702, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "correct", "session_id": 9702, "sequence_id": 62, "annotations": []}
{"role": "student", "content": "ok", "session_id": 9702, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "correct", "session_id": 9702, "sequence_id": 64, "annotations": []}
{"role": "student", "content": "i dont know if its -5 or +5 tho", "session_id": 9702, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "+5", "session_id": 9702, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "the negatives cancel out each other", "session_id": 9702, "sequence_id": 67, "annotations": []}
{"role": "student", "content": "oh ok thanks", "session_id": 9702, "sequence_id": 68, "annotations": []}
{"role": "student", "content": "how does 16=1?", "session_id": 9702, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "I fixed it", "session_id": 9702, "sequence_id": 70, "annotations": []}
{"role": "student", "content": "idk how to even solve it", "session_id": 9702, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "okay", "session_id": 9702, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "what is the opposite of division?", "session_id": 9702, "sequence_id": 73, "annotations": []}
{"role": "student", "content": "multipication, but why will we need that", "session_id": 9702, "sequence_id": 74, "annotations": []}
{"role": "volunteer", "content": "that is how you separate the fraction", "session_id": 9702, "sequence_id": 75, "annotations": []}
{"role": "student", "content": "what fraction??? i thought that was divioson", "session_id": 9702, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "16 is dividing (n+5)", "session_id": 9702, "sequence_id": 77, "annotations": []}
{"role": "student", "content": "i dont get it", "session_id": 9702, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "(n+5)/16 is a fraction", "session_id": 9702, "sequence_id": 79, "annotations": []}
{"role": "student", "content": "but im confused on why you put parenthasis after the 1", "session_id": 9702, "sequence_id": 80, "annotations": []}
{"role": "student", "content": "with 16 in the parenthases", "session_id": 9702, "sequence_id": 81, "annotations": []}
{"role": "volunteer", "content": "1*16 that is what it means", "session_id": 9702, "sequence_id": 82, "annotations": []}
{"role": "volunteer", "content": "( ) means multiplication", "session_id": 9702, "sequence_id": 83, "annotations": []}
{"role": "student", "content": "why did you put the n+5 over 1 and not 16?", "session_id": 9702, "sequence_id": 84, "annotations": []}
{"role": "volunteer", "content": "I am trying to show how they are connected", "session_id": 9702, "sequence_id": 85, "annotations": []}
{"role": "student", "content": "how wgat is connecte?", "session_id": 9702, "sequence_id": 86, "annotations": []}
{"role": "volunteer", "content": "(n+5)/16 being a fraction", "session_id": 9702, "sequence_id": 87, "annotations": []}
{"role": "student", "content": "ok then how do we solve it?", "session_id": 9702, "sequence_id": 88, "annotations": []}
{"role": "volunteer", "content": "first step we want to get n+5 alone", "session_id": 9702, "sequence_id": 89, "annotations": []}
{"role": "volunteer", "content": "so we would multiple", "session_id": 9702, "sequence_id": 90, "annotations": []}
{"role": "student", "content": "multiply n by 5????", "session_id": 9702, "sequence_id": 91, "annotations": []}
{"role": "volunteer", "content": "no 16*1", "session_id": 9702, "sequence_id": 92, "annotations": []}
{"role": "student", "content": "why do you mulyiply that?", "session_id": 9702, "sequence_id": 93, "annotations": []}
{"role": "volunteer", "content": "they would cancel out each other", "session_id": 9702, "sequence_id": 94, "annotations": []}
{"role": "student", "content": "how?", "session_id": 9702, "sequence_id": 95, "annotations": []}
{"role": "volunteer", "content": "16/16=", "session_id": 9702, "sequence_id": 96, "annotations": []}
{"role": "student", "content": "why are we dividing", "session_id": 9702, "sequence_id": 97, "annotations": []}
{"role": "volunteer", "content": "to get n+5 alone", "session_id": 9702, "sequence_id": 98, "annotations": []}
{"role": "student", "content": "um ok?", "session_id": 9702, "sequence_id": 99, "annotations": []}
{"role": "student", "content": "i do not get this at all", "session_id": 9702, "sequence_id": 100, "annotations": []}
{"role": "volunteer", "content": "to separate a fraction you have to multiple the bottom", "session_id": 9702, "sequence_id": 101, "annotations": []}
{"role": "student", "content": "so then how do we figure out n?????", "session_id": 9702, "sequence_id": 102, "annotations": []}
{"role": "student", "content": "how is it n-0 and not n+0???", "session_id": 9702, "sequence_id": 103, "annotations": []}
{"role": "volunteer", "content": "it does not matter it is just 0", "session_id": 9702, "sequence_id": 104, "annotations": []}
{"role": "student", "content": "but its more confusing when you switch it from adittion to subtraction", "session_id": 9702, "sequence_id": 105, "annotations": []}
{"role": "volunteer", "content": "we can countine working on the addition and subtraction", "session_id": 9702, "sequence_id": 106, "annotations": []}
{"role": "student", "content": "ok", "session_id": 9702, "sequence_id": 107, "annotations": []}
{"role": "student", "content": "do we add +9 to -9x and +9 to -103?", "session_id": 9702, "sequence_id": 108, "annotations": []}
{"role": "volunteer", "content": "always start with the number that does not have a letter next to it", "session_id": 9702, "sequence_id": 109, "annotations": []}
{"role": "student", "content": "so i add 13 the???", "session_id": 9702, "sequence_id": 110, "annotations": []}
{"role": "volunteer", "content": "correct", "session_id": 9702, "sequence_id": 111, "annotations": []}
{"role": "volunteer", "content": "-103+13", "session_id": 9702, "sequence_id": 112, "annotations": []}
{"role": "volunteer", "content": "you owe $103 but you just got paid $13", "session_id": 9702, "sequence_id": 113, "annotations": []}
{"role": "volunteer", "content": "how much do you owe now?", "session_id": 9702, "sequence_id": 114, "annotations": []}
{"role": "student", "content": "thats a low paycheck", "session_id": 9702, "sequence_id": 115, "annotations": []}
{"role": "volunteer", "content": "lol", "session_id": 9702, "sequence_id": 116, "annotations": []}
{"role": "volunteer", "content": "13-103=", "session_id": 9702, "sequence_id": 117, "annotations": []}
{"role": "student", "content": "-90", "session_id": 9702, "sequence_id": 118, "annotations": []}
{"role": "volunteer", "content": "correct", "session_id": 9702, "sequence_id": 119, "annotations": []}
{"role": "student", "content": "is it negative or positive", "session_id": 9702, "sequence_id": 120, "annotations": []}
{"role": "volunteer", "content": "positive", "session_id": 9702, "sequence_id": 121, "annotations": []}
{"role": "student", "content": "how", "session_id": 9702, "sequence_id": 122, "annotations": []}
{"role": "student", "content": "its a negative divided by positive", "session_id": 9702, "sequence_id": 123, "annotations": []}
{"role": "student", "content": "i dont understand", "session_id": 9702, "sequence_id": 124, "annotations": []}
{"role": "volunteer", "content": "negative * negative = postive", "session_id": 9702, "sequence_id": 125, "annotations": []}
{"role": "volunteer", "content": "negative / negative = positive", "session_id": 9702, "sequence_id": 126, "annotations": []}
{"role": "volunteer", "content": "negative * positive = negative", "session_id": 9702, "sequence_id": 127, "annotations": []}
{"role": "student", "content": "i sill dont understand", "session_id": 9702, "sequence_id": 128, "annotations": []}
{"role": "volunteer", "content": "negative / postive = negative", "session_id": 9702, "sequence_id": 129, "annotations": []}
{"role": "student", "content": "its a negative 9x but the answer looks like +90", "session_id": 9702, "sequence_id": 130, "annotations": []}
{"role": "volunteer", "content": "they are both negative", "session_id": 9702, "sequence_id": 131, "annotations": []}
{"role": "student", "content": "ohhhhh i covered with the equal sign", "session_id": 9702, "sequence_id": 132, "annotations": []}
{"role": "student", "content": "i get it now", "session_id": 9702, "sequence_id": 133, "annotations": []}
{"role": "volunteer", "content": "you will understand when your teacher get to it", "session_id": 9702, "sequence_id": 134, "annotations": []}
{"role": "student", "content": "ok", "session_id": 9702, "sequence_id": 135, "annotations": []}
{"role": "volunteer", "content": "Hey, my time is up, so I have to leave", "session_id": 9702, "sequence_id": 136, "annotations": []}
{"role": "volunteer", "content": "Have a nice day", "session_id": 9702, "sequence_id": 137, "annotations": []}
{"role": "student", "content": "ok thanks you too", "session_id": 9702, "sequence_id": 138, "annotations": []}
{"role": "volunteer", "content": "you are welcome", "session_id": 9702, "sequence_id": 139, "annotations": []}
{"role": "volunteer", "content": "hey, Sam!", "session_id": 9744, "sequence_id": 0, "annotations": [{"pii_type": "PERSON", "surrogate": "Sam", "start": 5, "end": 8}]}
{"role": "student", "content": "hi Emma", "session_id": 9744, "sequence_id": 1, "annotations": [{"pii_type": "PERSON", "surrogate": "Emma", "start": 3, "end": 7}]}
{"role": "volunteer", "content": "I was about to walk away from my computer when I saw your request pop up.", "session_id": 9744, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "just checking my answers today :)", "session_id": 9744, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "oh", "session_id": 9744, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "I guess i was lucky", "session_id": 9744, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "I stayed for you.", "session_id": 9744, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "thank you :)", "session_id": 9744, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "let's see those answers you want checked.", "session_id": 9744, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "ok", "session_id": 9744, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "i got f= 5.5", "session_id": 9744, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "wait", "session_id": 9744, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "oh, that x means multiply", "session_id": 9744, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 9744, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "you're just distributing the 3", "session_id": 9744, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "good, so far", "session_id": 9744, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "you typed 5.5 before as the answer", "session_id": 9744, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "yeah i totally forgot about the negative", "session_id": 9744, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "thank you for the help :)", "session_id": 9744, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "that's it?", "session_id": 9744, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "yup :)", "session_id": 9744, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "ok. yw.", "session_id": 9744, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "hope you have a good rest of your dayy :)", "session_id": 9744, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "you too", "session_id": 9744, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "bye", "session_id": 9744, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "byee", "session_id": 9744, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "I don't know what I am doing for this assignment at all", "session_id": 9743, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "Hi Maya. I'm sorry you are having trouble with this assignment.", "session_id": 9743, "sequence_id": 1, "annotations": [{"pii_type": "PERSON", "surrogate": "Maya", "start": 3, "end": 7}]}
{"role": "volunteer", "content": "Do you want to start with question #1 or #2?", "session_id": 9743, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "one please", "session_id": 9743, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "Okay- so what this question is saying is that you have two congruent triangles.", "session_id": 9743, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "Do you understand what congruence means?", "session_id": 9743, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "that they are equal to each other right", "session_id": 9743, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "yes. Congruent triangles have equal angles and equal sides.", "session_id": 9743, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "ok", "session_id": 9743, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "So they want you to write that idea with \"congruence\" statements", "session_id": 9743, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "if the Triangle is APV, what are the 3 sides named?", "session_id": 9743, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "A P V", "session_id": 9743, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "that is the name of the points, can you give me the name of the line segments?  EX: AP", "session_id": 9743, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "BTW, can you see what I'm writing on the board?", "session_id": 9743, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "AV is one right and PV", "session_id": 9743, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "yes!", "session_id": 9743, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "GS GL sl right", "session_id": 9743, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "perfect", "session_id": 9743, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "So those are the congruence statements for the sides.", "session_id": 9743, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "Now you need 3 congruence statements for the angles.", "session_id": 9743, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "yes", "session_id": 9743, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "Can I erase part of the work so we can write the angles?", "session_id": 9743, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "Nice - how there is more room.", "session_id": 9743, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "What are the angles of the triangle APV?", "session_id": 9743, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "what are considered angles is it just the letters like angle a angle p angle v", "session_id": 9743, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "So angles can be named in different ways.  We can say angle PAV or just  call it angle A", "session_id": 9743, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "If you use all three letters, the \"point\" of the angle should be in the middle.", "session_id": 9743, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "oh ok so on the work it has three spaces are we putting PAV and  angle a in those spaces", "session_id": 9743, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "So angle PAV is the same as angle A - its like your full name and a nickname.", "session_id": 9743, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "oh ok that makes more sense but what should I put in the boxes above for angles is that one I should put", "session_id": 9743, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "It might be easier just to use the one letter - make sure to use the \"<\" angle symbol though", "session_id": 9743, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "I'm sry this is so confusing for me was I supposed to put <A in one of the spaces", "session_id": 9743, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "That is the start, what is angle A the same as in the blue triangle?", "session_id": 9743, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "same as G", "session_id": 9743, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "Perfect, so you would write <A is congruent to <G. Do you see it on the whiteboard?", "session_id": 9743, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "yes I can see it", "session_id": 9743, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "can you write the next two statements?", "session_id": 9743, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "angle s is congruent to angle p and angle l is congruent to angle v", "session_id": 9743, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "and we are writing this where on the work on that line right", "session_id": 9743, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "Great!", "session_id": 9743, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "Yes.", "session_id": 9743, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "Can you see the 6 lines I put the red box around?", "session_id": 9743, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "yes I can see it", "session_id": 9743, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "those are what go in your table", "session_id": 9743, "sequence_id": 43, "annotations": []}
{"role": "student", "content": "so pink is angles and blue is the sides right", "session_id": 9743, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "No.", "session_id": 9743, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "The first three are sides, and the second three are angles.", "session_id": 9743, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "The pink and blue were just to show you the two different triangles.", "session_id": 9743, "sequence_id": 47, "annotations": []}
{"role": "student", "content": "oh I see so I would for example would put <A for for the boxes that say angles", "session_id": 9743, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "Yes! That is correct.", "session_id": 9743, "sequence_id": 49, "annotations": []}
{"role": "student", "content": "yay", "session_id": 9743, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "Whoops, maybe I didn't quite understand, you need to put the whole thing - < A \u2245 < G", "session_id": 9743, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "The right side of that table is looking good.", "session_id": 9743, "sequence_id": 52, "annotations": []}
{"role": "student", "content": "do I do that for the angles too", "session_id": 9743, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "Yes.", "session_id": 9743, "sequence_id": 54, "annotations": []}
{"role": "student", "content": "ok I finished filling it out", "session_id": 9743, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "It's a little small for me to read, but I think that is correct.  Does it make sense to you?", "session_id": 9743, "sequence_id": 56, "annotations": []}
{"role": "student", "content": "yeah that part makes sense so its showing the sides corresponding and the angles that correspond right", "session_id": 9743, "sequence_id": 57, "annotations": []}
{"role": "student", "content": "for each triangle", "session_id": 9743, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "Exactly!", "session_id": 9743, "sequence_id": 59, "annotations": []}
{"role": "student", "content": "okay I feel better about that now for the congruence statement what do I do for that part on number 2", "session_id": 9743, "sequence_id": 60, "annotations": []}
{"role": "student", "content": "never mind", "session_id": 9743, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "Can I erase what we have written so far?", "session_id": 9743, "sequence_id": 62, "annotations": []}
{"role": "student", "content": "wait a second let me write it down", "session_id": 9743, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "Or better - lets's scroll down to a new part of the board", "session_id": 9743, "sequence_id": 64, "annotations": []}
{"role": "student", "content": "oh ok lets scroll down", "session_id": 9743, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "Can you show question #2 again?", "session_id": 9743, "sequence_id": 66, "annotations": []}
{"role": "student", "content": "but what do I put for valid statement for number one though that the angles correspond or something", "session_id": 9743, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "Let me look at the question again", "session_id": 9743, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "Okay, I see", "session_id": 9743, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "I think the teacher just wants you to show that you can write the same idea in a different way:", "session_id": 9743, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "You could write triangle GSL is congruent to triangle APV", "session_id": 9743, "sequence_id": 71, "annotations": []}
{"role": "student", "content": "oh ok", "session_id": 9743, "sequence_id": 72, "annotations": []}
{"role": "student", "content": "so I would put < in front of GSl and stuff for that part", "session_id": 9743, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "not < but an actual little drawn triangle", "session_id": 9743, "sequence_id": 74, "annotations": []}
{"role": "student", "content": "oh ok I thinking that ok", "session_id": 9743, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "Yes, that should work.", "session_id": 9743, "sequence_id": 76, "annotations": []}
{"role": "student", "content": "oh ok it looks fine but isn't it just the same thing that is wrote flipped should we write it in a different order of arrangements of the letters or no", "session_id": 9743, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "I think both things would be correct. If you decide to do it with different order of arrangements of the letters, just  make sure you change the order the same way for both triangles", "session_id": 9743, "sequence_id": 78, "annotations": []}
{"role": "student", "content": "oh ok ty", "session_id": 9743, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "EX: Triangle SLG ~~ PVA", "session_id": 9743, "sequence_id": 80, "annotations": []}
{"role": "student", "content": "ok I guess we can move on to question two now", "session_id": 9743, "sequence_id": 81, "annotations": []}
{"role": "volunteer", "content": "Can you see the two triangles on the whiteboard?", "session_id": 9743, "sequence_id": 82, "annotations": []}
{"role": "volunteer", "content": "Maya?", "session_id": 9743, "sequence_id": 83, "annotations": [{"pii_type": "PERSON", "surrogate": "Maya", "start": 0, "end": 4}]}
{"role": "student", "content": "yes sry I had to step away for a second", "session_id": 9743, "sequence_id": 84, "annotations": []}
{"role": "volunteer", "content": "NP", "session_id": 9743, "sequence_id": 85, "annotations": []}
{"role": "volunteer", "content": "So, I drew the triangles. Can you fill in the information on the angles and sides that is given in the problem?", "session_id": 9743, "sequence_id": 86, "annotations": []}
{"role": "student", "content": "ok", "session_id": 9743, "sequence_id": 87, "annotations": []}
{"role": "student", "content": "like this right", "session_id": 9743, "sequence_id": 88, "annotations": []}
{"role": "volunteer", "content": "perfect!", "session_id": 9743, "sequence_id": 89, "annotations": []}
{"role": "student", "content": "for the angles parts do I just write it next to the letters like a is 56 or no", "session_id": 9743, "sequence_id": 90, "annotations": []}
{"role": "volunteer", "content": "I think you can write it next to it or in the triangle, whichever is easier for you to read", "session_id": 9743, "sequence_id": 91, "annotations": []}
{"role": "student", "content": "ok", "session_id": 9743, "sequence_id": 92, "annotations": []}
{"role": "student", "content": "I'm done I think", "session_id": 9743, "sequence_id": 93, "annotations": []}
{"role": "volunteer", "content": "Im not sure where the 14 came from?", "session_id": 9743, "sequence_id": 94, "annotations": []}
{"role": "student", "content": "it said TS = 14", "session_id": 9743, "sequence_id": 95, "annotations": []}
{"role": "volunteer", "content": "Yes! I had missed that. Good catch", "session_id": 9743, "sequence_id": 96, "annotations": []}
{"role": "volunteer", "content": "have you ever seen how we can mark congruent sides on triangles?", "session_id": 9743, "sequence_id": 97, "annotations": []}
{"role": "student", "content": "yes with those lines right", "session_id": 9743, "sequence_id": 98, "annotations": []}
{"role": "volunteer", "content": "Perfect!", "session_id": 9743, "sequence_id": 99, "annotations": []}
{"role": "volunteer", "content": "So what side is congruent to side BS?", "session_id": 9743, "sequence_id": 100, "annotations": []}
{"role": "student", "content": "GD", "session_id": 9743, "sequence_id": 101, "annotations": []}
{"role": "student", "content": "GD right", "session_id": 9743, "sequence_id": 102, "annotations": []}
{"role": "volunteer", "content": "yes! so since they are equal, we can write an equation", "session_id": 9743, "sequence_id": 103, "annotations": []}
{"role": "student", "content": "is that right", "session_id": 9743, "sequence_id": 104, "annotations": []}
{"role": "volunteer", "content": "That is exactly right!", "session_id": 9743, "sequence_id": 105, "annotations": []}
{"role": "student", "content": "ok so 25= 4x-11", "session_id": 9743, "sequence_id": 106, "annotations": []}
{"role": "volunteer", "content": "yes!", "session_id": 9743, "sequence_id": 107, "annotations": []}
{"role": "volunteer", "content": "so how do we solve 25 = 4x -11 to get X?", "session_id": 9743, "sequence_id": 108, "annotations": []}
{"role": "student", "content": "subtract?", "session_id": 9743, "sequence_id": 109, "annotations": []}
{"role": "student", "content": "on both sides", "session_id": 9743, "sequence_id": 110, "annotations": []}
{"role": "student", "content": "idk", "session_id": 9743, "sequence_id": 111, "annotations": []}
{"role": "volunteer", "content": "you are doing great! we are subtracting 11 already on the right side. To get rid of subtraction we use addition.", "session_id": 9743, "sequence_id": 112, "annotations": []}
{"role": "volunteer", "content": "Add 11 to each side.", "session_id": 9743, "sequence_id": 113, "annotations": []}
{"role": "student", "content": "oh ok that makes more sense", "session_id": 9743, "sequence_id": 114, "annotations": []}
{"role": "volunteer", "content": "you got this - keep going", "session_id": 9743, "sequence_id": 115, "annotations": []}
{"role": "student", "content": "I'm stuck now", "session_id": 9743, "sequence_id": 116, "annotations": []}
{"role": "student", "content": "just bring it down", "session_id": 9743, "sequence_id": 117, "annotations": []}
{"role": "student", "content": "oh ok", "session_id": 9743, "sequence_id": 118, "annotations": []}
{"role": "volunteer", "content": "yes!", "session_id": 9743, "sequence_id": 119, "annotations": []}
{"role": "volunteer", "content": "okay now we have multiplication on the right side, how do we get rid of that?", "session_id": 9743, "sequence_id": 120, "annotations": []}
{"role": "student", "content": "divide", "session_id": 9743, "sequence_id": 121, "annotations": []}
{"role": "student", "content": "yay I'm so glad I got that right", "session_id": 9743, "sequence_id": 122, "annotations": []}
{"role": "volunteer", "content": "so X = 9 !!! We  are half done", "session_id": 9743, "sequence_id": 123, "annotations": []}
{"role": "student", "content": "ok yes", "session_id": 9743, "sequence_id": 124, "annotations": []}
{"role": "volunteer", "content": "So now we have to look at the angles to find Y", "session_id": 9743, "sequence_id": 125, "annotations": []}
{"role": "student", "content": "ok", "session_id": 9743, "sequence_id": 126, "annotations": []}
{"role": "volunteer", "content": "Which angle is equal to angle H?", "session_id": 9743, "sequence_id": 127, "annotations": []}
{"role": "student", "content": "T", "session_id": 9743, "sequence_id": 128, "annotations": []}
{"role": "student", "content": "T", "session_id": 9743, "sequence_id": 129, "annotations": []}
{"role": "volunteer", "content": "Yep! Do we know the value of angle T?", "session_id": 9743, "sequence_id": 130, "annotations": []}
{"role": "student", "content": "no but we know the numbers for ts", "session_id": 9743, "sequence_id": 131, "annotations": []}
{"role": "student", "content": "which is 14", "session_id": 9743, "sequence_id": 132, "annotations": []}
{"role": "volunteer", "content": "I agree, but we can't mix sides and angles :-(", "session_id": 9743, "sequence_id": 133, "annotations": []}
{"role": "volunteer", "content": "We need to figure out something about angle T", "session_id": 9743, "sequence_id": 134, "annotations": []}
{"role": "volunteer", "content": "We do know angle B and angle S", "session_id": 9743, "sequence_id": 135, "annotations": []}
{"role": "student", "content": "yeah b is 21 and s is 56 I don't know how to find t do we add b and s then subtract by 90 or something", "session_id": 9743, "sequence_id": 136, "annotations": []}
{"role": "student", "content": "geometry idk", "session_id": 9743, "sequence_id": 137, "annotations": []}
{"role": "volunteer", "content": "you are right!", "session_id": 9743, "sequence_id": 138, "annotations": []}
{"role": "volunteer", "content": "All the angles of a triangle add up to 180 degrees.", "session_id": 9743, "sequence_id": 139, "annotations": []}
{"role": "volunteer", "content": "So now you know angle T is 103 degrees", "session_id": 9743, "sequence_id": 140, "annotations": []}
{"role": "student", "content": "yes", "session_id": 9743, "sequence_id": 141, "annotations": []}
{"role": "volunteer", "content": "And you can write the next equation", "session_id": 9743, "sequence_id": 142, "annotations": []}
{"role": "volunteer", "content": "you are getting this really well", "session_id": 9743, "sequence_id": 143, "annotations": []}
{"role": "student", "content": "I'm not sure what to write", "session_id": 9743, "sequence_id": 144, "annotations": []}
{"role": "volunteer", "content": "its a lot of steps to keep track of.", "session_id": 9743, "sequence_id": 145, "annotations": []}
{"role": "volunteer", "content": "Look at what you said angle T was equal to.", "session_id": 9743, "sequence_id": 146, "annotations": []}
{"role": "volunteer", "content": "\"Which angle is equal to angle H?\n1:32 pm\nT\"", "session_id": 9743, "sequence_id": 147, "annotations": []}
{"role": "student", "content": "t", "session_id": 9743, "sequence_id": 148, "annotations": []}
{"role": "volunteer", "content": "Yes! (We just had to do a lot of stuff since then :-)", "session_id": 9743, "sequence_id": 149, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 9743, "sequence_id": 150, "annotations": []}
{"role": "volunteer", "content": "So let's write an equation about angle T and angle H", "session_id": 9743, "sequence_id": 151, "annotations": []}
{"role": "student", "content": "is what I wrote fine or do I need to add more letters for it", "session_id": 9743, "sequence_id": 152, "annotations": []}
{"role": "volunteer", "content": "Sorry - I dont' see it. Let me refresh my screen", "session_id": 9743, "sequence_id": 153, "annotations": []}
{"role": "volunteer", "content": "I didn't see the equation, can you write it again?", "session_id": 9743, "sequence_id": 154, "annotations": []}
{"role": "student", "content": "ok", "session_id": 9743, "sequence_id": 155, "annotations": []}
{"role": "student", "content": "I wrote it next to the other equation", "session_id": 9743, "sequence_id": 156, "annotations": []}
{"role": "volunteer", "content": "Something seems to be weird on my end.", "session_id": 9743, "sequence_id": 157, "annotations": []}
{"role": "volunteer", "content": "Let me write and see if you can see it.", "session_id": 9743, "sequence_id": 158, "annotations": []}
{"role": "student", "content": "I put T with that squiggly sign and H is that wrong", "session_id": 9743, "sequence_id": 159, "annotations": []}
{"role": "volunteer", "content": "Nope. That is correct.", "session_id": 9743, "sequence_id": 160, "annotations": []}
{"role": "student", "content": "ok", "session_id": 9743, "sequence_id": 161, "annotations": []}
{"role": "volunteer", "content": "Can you see what I wrote in pink?", "session_id": 9743, "sequence_id": 162, "annotations": []}
{"role": "volunteer", "content": "If so, go ahead and fill in the numbers for angle T and angle H", "session_id": 9743, "sequence_id": 163, "annotations": []}
{"role": "student", "content": "no I cant see it", "session_id": 9743, "sequence_id": 164, "annotations": []}
{"role": "volunteer", "content": "Hmmm", "session_id": 9743, "sequence_id": 165, "annotations": []}
{"role": "volunteer", "content": "can you try to refresh your screen?\\", "session_id": 9743, "sequence_id": 166, "annotations": []}
{"role": "student", "content": "ok", "session_id": 9743, "sequence_id": 167, "annotations": []}
{"role": "student", "content": "I see it now", "session_id": 9743, "sequence_id": 168, "annotations": []}
{"role": "volunteer", "content": "good", "session_id": 9743, "sequence_id": 169, "annotations": []}
{"role": "student", "content": "so for angles it would have just a regular equation sign", "session_id": 9743, "sequence_id": 170, "annotations": []}
{"role": "volunteer", "content": "it should actually have the squiggles", "session_id": 9743, "sequence_id": 171, "annotations": []}
{"role": "volunteer", "content": "it's actually and equal sign with a squiggle over it, but that is hard to show in typing", "session_id": 9743, "sequence_id": 172, "annotations": []}
{"role": "student", "content": "oh ok the squiggles  mean equal too right random but why do we put the squiggles instead of equal sign", "session_id": 9743, "sequence_id": 173, "annotations": []}
{"role": "volunteer", "content": "The squiggly thing means \"congruent\" . If we want to be really correct, we would write\"", "session_id": 9743, "sequence_id": 174, "annotations": []}
{"role": "volunteer", "content": "measure of angle T = measure of angle H", "session_id": 9743, "sequence_id": 175, "annotations": []}
{"role": "student", "content": "oh ok ty", "session_id": 9743, "sequence_id": 176, "annotations": []}
{"role": "volunteer", "content": "it's a bit of \"math\" language. I'm not sure how fussy your teacher is about it.", "session_id": 9743, "sequence_id": 177, "annotations": []}
{"role": "volunteer", "content": "so what is the measure of angle T?", "session_id": 9743, "sequence_id": 178, "annotations": []}
{"role": "student", "content": "T is equal to 103", "session_id": 9743, "sequence_id": 179, "annotations": []}
{"role": "volunteer", "content": "yes! and what is the measure of angle H?", "session_id": 9743, "sequence_id": 180, "annotations": []}
{"role": "student", "content": "7y+5", "session_id": 9743, "sequence_id": 181, "annotations": []}
{"role": "volunteer", "content": "perfect! Write that as an equation", "session_id": 9743, "sequence_id": 182, "annotations": []}
{"role": "volunteer", "content": "Good. Keep going.", "session_id": 9743, "sequence_id": 183, "annotations": []}
{"role": "volunteer", "content": "Make sure you have the right variable - y =14. But the rest is perfect!!", "session_id": 9743, "sequence_id": 184, "annotations": []}
{"role": "student", "content": "oops sry", "session_id": 9743, "sequence_id": 185, "annotations": []}
{"role": "student", "content": "ok", "session_id": 9743, "sequence_id": 186, "annotations": []}
{"role": "volunteer", "content": "It's not a problem. I just wanted to make sure you wrote down the correct thing so you get credit for all your hard work.", "session_id": 9743, "sequence_id": 187, "annotations": []}
{"role": "student", "content": "ok that's fine ty", "session_id": 9743, "sequence_id": 188, "annotations": []}
{"role": "volunteer", "content": "I just want to summarize what we did:", "session_id": 9743, "sequence_id": 189, "annotations": []}
{"role": "student", "content": "ok", "session_id": 9743, "sequence_id": 190, "annotations": []}
{"role": "volunteer", "content": "1) drew a picture to show what we knew about the triangles", "session_id": 9743, "sequence_id": 191, "annotations": []}
{"role": "volunteer", "content": "2) Found congruent sides and angles", "session_id": 9743, "sequence_id": 192, "annotations": []}
{"role": "volunteer", "content": "3) Used the congruent sides to write an equation for X and solve", "session_id": 9743, "sequence_id": 193, "annotations": []}
{"role": "volunteer", "content": "4) Used the congruent angles to write and equation for y and solve", "session_id": 9743, "sequence_id": 194, "annotations": []}
{"role": "volunteer", "content": "Did this make sense to you?  You did a fabulous job on each step.", "session_id": 9743, "sequence_id": 195, "annotations": []}
{"role": "student", "content": "ty when I was solving it it made sense how do I know for future which one was x because I could see the y for H but how to know which one to do first", "session_id": 9743, "sequence_id": 196, "annotations": []}
{"role": "student", "content": "if that makes sense", "session_id": 9743, "sequence_id": 197, "annotations": []}
{"role": "volunteer", "content": "It doesn't really matter which one you did first.", "session_id": 9743, "sequence_id": 198, "annotations": []}
{"role": "student", "content": "oh ok", "session_id": 9743, "sequence_id": 199, "annotations": []}
{"role": "volunteer", "content": "The x seemed to be a little easier, since we had all the information given to us.", "session_id": 9743, "sequence_id": 200, "annotations": []}
{"role": "volunteer", "content": "For the y, we had to do an extra step to find the congruent angle.", "session_id": 9743, "sequence_id": 201, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 9743, "sequence_id": 202, "annotations": []}
{"role": "volunteer", "content": "In general, you want to write down everything you know first.", "session_id": 9743, "sequence_id": 203, "annotations": []}
{"role": "volunteer", "content": "Then see if there is anything you can quickly see is equal", "session_id": 9743, "sequence_id": 204, "annotations": []}
{"role": "student", "content": "yeah definitely its always better for me to see it", "session_id": 9743, "sequence_id": 205, "annotations": []}
{"role": "volunteer", "content": "Do you want to take a look at problem #3 and just talk through the strategy?", "session_id": 9743, "sequence_id": 206, "annotations": []}
{"role": "student", "content": "yes please", "session_id": 9743, "sequence_id": 207, "annotations": []}
{"role": "volunteer", "content": "Ah - this is a proof, so what the teacher wants you to fill in is WHY you know each thing on the left side of the table", "session_id": 9743, "sequence_id": 208, "annotations": []}
{"role": "volunteer", "content": "So the first question is, WHY/HOW do you know that S is the midpoint of RT?", "session_id": 9743, "sequence_id": 209, "annotations": []}
{"role": "student", "content": "becuase it is in the middle of the triangle", "session_id": 9743, "sequence_id": 210, "annotations": []}
{"role": "student", "content": "idk", "session_id": 9743, "sequence_id": 211, "annotations": []}
{"role": "volunteer", "content": "You can't count on the drawing \"looking\" correct -  Read the information in the question. What is the first line?", "session_id": 9743, "sequence_id": 212, "annotations": []}
{"role": "student", "content": "I'm not sure i guess r is first", "session_id": 9743, "sequence_id": 213, "annotations": []}
{"role": "student", "content": "or p", "session_id": 9743, "sequence_id": 214, "annotations": []}
{"role": "volunteer", "content": "Okay, I was showing you that it says \"GIVEN:\"  That means, these are the facts they are telling you are true.", "session_id": 9743, "sequence_id": 215, "annotations": []}
{"role": "volunteer", "content": "They are what you know from the beginning.", "session_id": 9743, "sequence_id": 216, "annotations": []}
{"role": "student", "content": "ok", "session_id": 9743, "sequence_id": 217, "annotations": []}
{"role": "volunteer", "content": "So the reason you know S is the midpoint is  \"Given\"", "session_id": 9743, "sequence_id": 218, "annotations": []}
{"role": "student", "content": "oh that's make sense I was overthinking it", "session_id": 9743, "sequence_id": 219, "annotations": []}
{"role": "student", "content": "I thought I had to solve something", "session_id": 9743, "sequence_id": 220, "annotations": []}
{"role": "volunteer", "content": "Have faith in yourself. You are doing a really good job with the ideas in these geometry problems.", "session_id": 9743, "sequence_id": 221, "annotations": []}
{"role": "student", "content": "ok ty", "session_id": 9743, "sequence_id": 222, "annotations": []}
{"role": "student", "content": "is the second given as well", "session_id": 9743, "sequence_id": 223, "annotations": []}
{"role": "volunteer", "content": "So now look at the Given statement again, and then try to fill in #2", "session_id": 9743, "sequence_id": 224, "annotations": []}
{"role": "student", "content": "yay I love the confetti lol", "session_id": 9743, "sequence_id": 225, "annotations": []}
{"role": "volunteer", "content": "Now you may need to look at the formula sheet the teacher gave you.", "session_id": 9743, "sequence_id": 226, "annotations": []}
{"role": "volunteer", "content": "Does it say anything about the definition of a midpoint?", "session_id": 9743, "sequence_id": 227, "annotations": []}
{"role": "student", "content": "no put it has the names of proof reason but not the definitions", "session_id": 9743, "sequence_id": 228, "annotations": []}
{"role": "volunteer", "content": "okay - so how you write this has a bit to do with how your teacher has taught it.", "session_id": 9743, "sequence_id": 229, "annotations": []}
{"role": "student", "content": "oh ok", "session_id": 9743, "sequence_id": 230, "annotations": []}
{"role": "volunteer", "content": "We know S is a midpoint.  By definition, a midpoint divides a line segment into two equal pieces.", "session_id": 9743, "sequence_id": 231, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 9743, "sequence_id": 232, "annotations": []}
{"role": "volunteer", "content": "When I was doing proofs, I would have written something like \"Definition of midpoint\" for #3", "session_id": 9743, "sequence_id": 233, "annotations": []}
{"role": "student", "content": "would it be something like SAS or SSS oidk", "session_id": 9743, "sequence_id": 234, "annotations": []}
{"role": "volunteer", "content": "not yet. SAS and SSS are reasons for proving a whole triangle is congruent. We will need that in a second", "session_id": 9743, "sequence_id": 235, "annotations": []}
{"role": "student", "content": "oh ok", "session_id": 9743, "sequence_id": 236, "annotations": []}
{"role": "student", "content": "I'm not sure how to find this one", "session_id": 9743, "sequence_id": 237, "annotations": []}
{"role": "volunteer", "content": "I would write defintion of midpoint for now", "session_id": 9743, "sequence_id": 238, "annotations": []}
{"role": "student", "content": "so the definition of it would go on that line for now", "session_id": 9743, "sequence_id": 239, "annotations": []}
{"role": "volunteer", "content": "you are actually going to write the words \"definition of a midpoint\" on the line #3", "session_id": 9743, "sequence_id": 240, "annotations": []}
{"role": "student", "content": "oh ok", "session_id": 9743, "sequence_id": 241, "annotations": []}
{"role": "volunteer", "content": "That means you are using the definition as the WHY you know the thing is true", "session_id": 9743, "sequence_id": 242, "annotations": []}
{"role": "student", "content": "oh ok I'll ask my teacher about that one probably make sure I can do that before I submit it", "session_id": 9743, "sequence_id": 243, "annotations": []}
{"role": "volunteer", "content": "that is always a good idea", "session_id": 9743, "sequence_id": 244, "annotations": []}
{"role": "volunteer", "content": "So look at #4 and tell me what it is saying", "session_id": 9743, "sequence_id": 245, "annotations": []}
{"role": "student", "content": "it is saying that's PS is equal to PS", "session_id": 9743, "sequence_id": 246, "annotations": []}
{"role": "student", "content": "or congruent", "session_id": 9743, "sequence_id": 247, "annotations": []}
{"role": "volunteer", "content": "yes. So PS is congruent to itself", "session_id": 9743, "sequence_id": 248, "annotations": []}
{"role": "student", "content": "so definition of congruence right", "session_id": 9743, "sequence_id": 249, "annotations": []}
{"role": "volunteer", "content": "We are trying to say WHY we know it is congruent.", "session_id": 9743, "sequence_id": 250, "annotations": []}
{"role": "student", "content": "wait I just looked and I think I just put the definition of for the answers of these", "session_id": 9743, "sequence_id": 251, "annotations": []}
{"role": "volunteer", "content": "Hwy do we know something is equal to itself?", "session_id": 9743, "sequence_id": 252, "annotations": []}
{"role": "volunteer", "content": "look and see if you have the \"reflexive\" property on your sheet", "session_id": 9743, "sequence_id": 253, "annotations": []}
{"role": "student", "content": "ok", "session_id": 9743, "sequence_id": 254, "annotations": []}
{"role": "student", "content": "reflexive property of equality", "session_id": 9743, "sequence_id": 255, "annotations": []}
{"role": "student", "content": "is on there", "session_id": 9743, "sequence_id": 256, "annotations": []}
{"role": "student", "content": "yay", "session_id": 9743, "sequence_id": 257, "annotations": []}
{"role": "volunteer", "content": "That property means things are equal to themselves", "session_id": 9743, "sequence_id": 258, "annotations": []}
{"role": "volunteer", "content": "So what do lines 2-4 tell us?", "session_id": 9743, "sequence_id": 259, "annotations": []}
{"role": "student", "content": "they tell us that PR = PT is given RS =ST is the definition of midpoint and PS and PS is reflexive", "session_id": 9743, "sequence_id": 260, "annotations": []}
{"role": "volunteer", "content": "yep. So what does that mean in terms of the sides of the two smaller triangles?", "session_id": 9743, "sequence_id": 261, "annotations": []}
{"role": "student", "content": "so it means that they are either SSS or SSS right", "session_id": 9743, "sequence_id": 262, "annotations": []}
{"role": "volunteer", "content": "You are even ahead of me! It means you know that the smaller triangles have 3 congruent sides.", "session_id": 9743, "sequence_id": 263, "annotations": []}
{"role": "student", "content": "oh ok", "session_id": 9743, "sequence_id": 264, "annotations": []}
{"role": "volunteer", "content": "So triangles with three congruent sides...... are congruent, because of SSS.", "session_id": 9743, "sequence_id": 265, "annotations": []}
{"role": "student", "content": "ok that makes sense what SAS mean", "session_id": 9743, "sequence_id": 266, "annotations": []}
{"role": "volunteer", "content": "SAS means Side - Angle - Side. That means triangles with two congruent sides and a congruent angle between the sides .... are congruent", "session_id": 9743, "sequence_id": 267, "annotations": []}
{"role": "student", "content": "oh ok ty", "session_id": 9743, "sequence_id": 268, "annotations": []}
{"role": "volunteer", "content": "I think you have a good idea of what congruence means.  When you see these problems, just remember to write down what you know first, then go step by step.", "session_id": 9743, "sequence_id": 269, "annotations": []}
{"role": "student", "content": "ok I will definitely do that", "session_id": 9743, "sequence_id": 270, "annotations": []}
{"role": "student", "content": "Thank you for helping me", "session_id": 9743, "sequence_id": 271, "annotations": []}
{"role": "student", "content": "will I be able to see our work and chat when I end the session", "session_id": 9743, "sequence_id": 272, "annotations": []}
{"role": "volunteer", "content": "I'm not sure. I can see our chat, but not our whiteboard.", "session_id": 9743, "sequence_id": 273, "annotations": []}
{"role": "student", "content": "oh ok", "session_id": 9743, "sequence_id": 274, "annotations": []}
{"role": "volunteer", "content": "You might want to try to take a picture or a screenshot of it before you go.", "session_id": 9743, "sequence_id": 275, "annotations": []}
{"role": "student", "content": "ok", "session_id": 9743, "sequence_id": 276, "annotations": []}
{"role": "student", "content": "I took screenshots I hope you have a good day thank you so much for your help I have a much better understanding now", "session_id": 9743, "sequence_id": 277, "annotations": []}
{"role": "volunteer", "content": "Great. Have a good day", "session_id": 9743, "sequence_id": 278, "annotations": []}
{"role": "student", "content": "you too bye", "session_id": 9743, "sequence_id": 279, "annotations": []}
{"role": "student", "content": "Michael", "session_id": 9718, "sequence_id": 0, "annotations": [{"pii_type": "PERSON", "surrogate": "Michael", "start": 0, "end": 7}]}
{"role": "student", "content": "HIIIIIII", "session_id": 9718, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "Hi--I think I see what they are looking for", "session_id": 9718, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "oh ooookiiii", "session_id": 9718, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "Yes-- for #1", "session_id": 9718, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "WAIT", "session_id": 9718, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "that's right", "session_id": 9718, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "I got that right?", "session_id": 9718, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "yes, absolutely", "session_id": 9718, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "I lowkey just guessed", "session_id": 9718, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "well actually", "session_id": 9718, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "i think i did that question before", "session_id": 9718, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "in any case--you did it right", "session_id": 9718, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "yayy", "session_id": 9718, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "#2", "session_id": 9718, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "for #2, that funny square thing means it is a 90 degree angle", "session_id": 9718, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "lol oki", "session_id": 9718, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "#3 is a lot like #1", "session_id": 9718, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "That's right angle C is congruent to angle D", "session_id": 9718, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "#4 is a little different", "session_id": 9718, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "Have you seen those marks before?", "session_id": 9718, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "nope :)", "session_id": 9718, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "They mean that the lines are parallel", "session_id": 9718, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "\ud83d\ude01", "session_id": 9718, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "Since it is a line, you want to say FE is parallel to HG", "session_id": 9718, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "oh oki", "session_id": 9718, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "#5 is a combination of #1 and #2", "session_id": 9718, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "so #2 is just 90 degrees?", "session_id": 9718, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "#2 is angle BCE is 90 degrees", "session_id": 9718, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "oh oki", "session_id": 9718, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "sometimes for angle, you can use <", "session_id": 9718, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "but put it first <BCE", "session_id": 9718, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "oh oki", "session_id": 9718, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "you can also do that for #3", "session_id": 9718, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "<CD?", "session_id": 9718, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "or <CBD", "session_id": 9718, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "in this case, you can just say <C or <BCD, the middle letter is where the angle is", "session_id": 9718, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "oki", "session_id": 9718, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "so it would be <BCD is congruent to <CDB", "session_id": 9718, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "perfect", "session_id": 9718, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "for #2 you need to put down that <BCE=90 degrees", "session_id": 9718, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "ohki", "session_id": 9718, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "perfect", "session_id": 9718, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "ok, so number 5 has something from #1 and #2", "session_id": 9718, "sequence_id": 43, "annotations": []}
{"role": "student", "content": "ok", "session_id": 9718, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "close, you can call the angle <TSR or <S and that is 90 degrees", "session_id": 9718, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "and now the two line segments are FE and SR", "session_id": 9718, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "and they are congruent", "session_id": 9718, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "excellent", "session_id": 9718, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "#6 there are two parallel lines marked", "session_id": 9718, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "I read that first line as line s", "session_id": 9718, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "and the second one as line t", "session_id": 9718, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "yeah s,t and u", "session_id": 9718, "sequence_id": 52, "annotations": []}
{"role": "student", "content": "my bad", "session_id": 9718, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "that's right--and the angle we are seeing is <C", "session_id": 9718, "sequence_id": 54, "annotations": []}
{"role": "student", "content": "yes", "session_id": 9718, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "so <C is marked just like the one in #2, so it is also 90 degrees", "session_id": 9718, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "excellent", "session_id": 9718, "sequence_id": 57, "annotations": []}
{"role": "student", "content": "thx :)", "session_id": 9718, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "you are welcome--is there anthing else that I can help with", "session_id": 9718, "sequence_id": 59, "annotations": []}
{"role": "student", "content": "no thank you :)", "session_id": 9718, "sequence_id": 60, "annotations": []}
{"role": "student", "content": "have a good day :)", "session_id": 9718, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "have a great rest of your day", "session_id": 9718, "sequence_id": 62, "annotations": []}
{"role": "student", "content": "Sarah", "session_id": 9718, "sequence_id": 63, "annotations": [{"pii_type": "PERSON", "surrogate": "Sarah", "start": 0, "end": 5}]}
{"role": "volunteer", "content": "hey!", "session_id": 9085, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "how can i help", "session_id": 9085, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "hi!", "session_id": 9085, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "i took a math test and lets just say it was bad, so i am retaking it but i need some help reviewing lol", "session_id": 9085, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "okayy", "session_id": 9085, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "do you know what you got wrong?", "session_id": 9085, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "yes i have the test", "session_id": 9085, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "okay", "session_id": 9085, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "can you show it?", "session_id": 9085, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "i could put the images", "session_id": 9085, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "ofc", "session_id": 9085, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "hold on one sec", "session_id": 9085, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "okay that is page one", "session_id": 9085, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "idk what i was thinking for two", "session_id": 9085, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "uh oh!", "session_id": 9085, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "mhmm", "session_id": 9085, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "do you want to start with two?", "session_id": 9085, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "yes", "session_id": 9085, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "okay", "session_id": 9085, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "i think i switched the letters or smth", "session_id": 9085, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 9085, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "so look at the given", "session_id": 9085, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "ABC=EDF", "session_id": 9085, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "k", "session_id": 9085, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "so that means A corresponds to E, B corresponds to D, C corresponds to F", "session_id": 9085, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "ohhhhhhhhhhhhhhhh", "session_id": 9085, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 9085, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "that should always be the case", "session_id": 9085, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "k", "session_id": 9085, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "so b and d would be 85", "session_id": 9085, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 9085, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "but for c and f would i set that equation equal to 35?", "session_id": 9085, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "or like the x", "session_id": 9085, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "you would make c equal to f", "session_id": 9085, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "so c=f", "session_id": 9085, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "then you can substitute the values", "session_id": 9085, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "c=2x+21", "session_id": 9085, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "so 2x+21=f", "session_id": 9085, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "and f=35, so 2x+21=35", "session_id": 9085, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "yes", "session_id": 9085, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "then subtract 21?", "session_id": 9085, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 9085, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "subtract 21 on both sides, subtraction property of equality", "session_id": 9085, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "so then x=7?", "session_id": 9085, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "yerp", "session_id": 9085, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "good job", "session_id": 9085, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "and for the A and the E would i put in 7 for the x, to find the y?", "session_id": 9085, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "yes!", "session_id": 9085, "sequence_id": 47, "annotations": []}
{"role": "student", "content": "ah haaa", "session_id": 9085, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "y=10?", "session_id": 9085, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "yup", "session_id": 9085, "sequence_id": 50, "annotations": []}
{"role": "student", "content": "ayyyy i think i get this one now, but also i know how i messed up lol", "session_id": 9085, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "lol, i think the only thing you messed up on was the angles and which ones they were congruent to", "session_id": 9085, "sequence_id": 52, "annotations": []}
{"role": "student", "content": "Geometry 201%%", "session_id": 9085, "sequence_id": 53, "annotations": [{"pii_type": "COURSE", "surrogate": "Geometry 201%", "start": 0, "end": 13}]}
{"role": "student", "content": "also idk why i had the test at 7:15 am", "session_id": 9085, "sequence_id": 54, "annotations": []}
{"role": "student", "content": "no exuses but", "session_id": 9085, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "woah", "session_id": 9085, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "that is very early", "session_id": 9085, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "okay, any other questions?", "session_id": 9085, "sequence_id": 58, "annotations": []}
{"role": "student", "content": "real", "session_id": 9085, "sequence_id": 59, "annotations": []}
{"role": "student", "content": "yes", "session_id": 9085, "sequence_id": 60, "annotations": []}
{"role": "student", "content": "hold on so when i am doing the top ones", "session_id": 9085, "sequence_id": 61, "annotations": []}
{"role": "student", "content": "when the letters have the line it means it is a messurement?", "session_id": 9085, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "uh", "session_id": 9085, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "can you elaborate", "session_id": 9085, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "that means its a segment", "session_id": 9085, "sequence_id": 65, "annotations": []}
{"role": "student", "content": "but when there is not line", "session_id": 9085, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "oh like the squiggly line on top of the equal sign?", "session_id": 9085, "sequence_id": 67, "annotations": []}
{"role": "student", "content": "no like the AC=EF", "session_id": 9085, "sequence_id": 68, "annotations": []}
{"role": "student", "content": "there is not line on top of the letters", "session_id": 9085, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "well", "session_id": 9085, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "im assuming that means the measurement?", "session_id": 9085, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "but then you wouldnt use the 'is congruent to' symbol", "session_id": 9085, "sequence_id": 72, "annotations": []}
{"role": "student", "content": "which made it nonsensical", "session_id": 9085, "sequence_id": 73, "annotations": []}
{"role": "student", "content": "Hello! I could really use some help right now. I recently learned this topic, and while I somewhat understand it, I\u2019m still a bit confused. I\u2019ve had past coaches try to explain it, but their methods often feel long and not as straightforward as how my teacher solved the problem. Could you please rewrite two problems that are similar to the original for extra practice? I am currently on page 5, problem 10. Here\u2019s the link to the PDF: https://example.com/document.pdf", "session_id": 9131, "sequence_id": 0, "annotations": [{"pii_type": "URL", "surrogate": "https://example.com/document.pdf", "start": 437, "end": 469}]}
{"role": "volunteer", "content": "sorry im not allowed to open links, are you able to take a screenshot and post it?", "session_id": 9131, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "You can", "session_id": 9131, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "its against the rules :(", "session_id": 9131, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "It's not", "session_id": 9131, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "oh wait", "session_id": 9131, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "ok nvm sorry", "session_id": 9131, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "alright let me see", "session_id": 9131, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "Yep!", "session_id": 9131, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "this problem correct?", "session_id": 9131, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "Mhm", "session_id": 9131, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "alright", "session_id": 9131, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "so to explain the work on the problem", "session_id": 9131, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "you want to focus on making the roots the same", "session_id": 9131, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "so you can apply \"like terms\"", "session_id": 9131, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "since you cant combine square root of 27 with square root of 12", "session_id": 9131, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "so for this", "session_id": 9131, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "we need to simplify our radical", "session_id": 9131, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "so when we are simplifying radicals", "session_id": 9131, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "we can do a nice trick where we split up what's inside the radical", "session_id": 9131, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "for example", "session_id": 9131, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "the square root of 9 is the same as the square root of 3 times the square root of 3", "session_id": 9131, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "since 3 times 3 equals 9 right?", "session_id": 9131, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "so try breaking up 27 into two factors and break up 12 into two factors", "session_id": 9131, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "No I'm asking for", "session_id": 9131, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "one with diff numbers", "session_id": 9131, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "similar to 10", "session_id": 9131, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "ok!!", "session_id": 9131, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "let's just do 11 then", "session_id": 9131, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "but yea we have 3 radicals right", "session_id": 9131, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "there's two radicals we can simplify further", "session_id": 9131, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "do u know which ones?", "session_id": 9131, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "Holdon", "session_id": 9131, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "yea no problem", "session_id": 9131, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "if u want i can explain", "session_id": 9131, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "I meant #12 my bad", "session_id": 9131, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "its ok", "session_id": 9131, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "but yea", "session_id": 9131, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "we can see the radicals right", "session_id": 9131, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "can you write them out for me", "session_id": 9131, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "you can reference what i did for 11", "session_id": 9131, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "omg i meant 13 why do i keep saying the wrong #", "session_id": 9131, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "ok here 13", "session_id": 9131, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "yea just identify the radicals", "session_id": 9131, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "like how i did for 11", "session_id": 9131, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "yes so creae a problem like #13 w diff #s", "session_id": 9131, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "ohhh ok", "session_id": 9131, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "sure", "session_id": 9131, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "alright", "session_id": 9131, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "there ya go", "session_id": 9131, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "do u wanna try it first or wwalk through it", "session_id": 9131, "sequence_id": 50, "annotations": []}
{"role": "student", "content": "thanks workin on itrn", "session_id": 9131, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 9131, "sequence_id": 52, "annotations": []}
{"role": "student", "content": "is it right so far?", "session_id": 9131, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "hmm be careful for the second part", "session_id": 9131, "sequence_id": 54, "annotations": []}
{"role": "student", "content": "yeah im thinking", "session_id": 9131, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "try to see which one is a perfect square", "session_id": 9131, "sequence_id": 56, "annotations": []}
{"role": "student", "content": "30 sq 3?", "session_id": 9131, "sequence_id": 57, "annotations": []}
{"role": "student", "content": "9x10=90", "session_id": 9131, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "yes ten times 9", "session_id": 9131, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "but which one is the perfect square", "session_id": 9131, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "square root of 9 or square root of 10", "session_id": 9131, "sequence_id": 61, "annotations": []}
{"role": "student", "content": "9 is", "session_id": 9131, "sequence_id": 62, "annotations": []}
{"role": "student", "content": "so its 3", "session_id": 9131, "sequence_id": 63, "annotations": []}
{"role": "student", "content": "30 sq root 3", "session_id": 9131, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "wait here let me show u", "session_id": 9131, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "one sec tho sorry :(", "session_id": 9131, "sequence_id": 66, "annotations": []}
{"role": "student", "content": "kk", "session_id": 9131, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "ok so basically", "session_id": 9131, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "you split up the square root of 90 into the square root of 10 times the square root of 9 right?", "session_id": 9131, "sequence_id": 69, "annotations": []}
{"role": "student", "content": "yes", "session_id": 9131, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "what is the square root of 9?", "session_id": 9131, "sequence_id": 71, "annotations": []}
{"role": "student", "content": "3", "session_id": 9131, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 9131, "sequence_id": 73, "annotations": []}
{"role": "student", "content": "is this riht", "session_id": 9131, "sequence_id": 74, "annotations": []}
{"role": "volunteer", "content": "wait here let me finish explaining", "session_id": 9131, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "the square root of 90 is equal to the square root of 10 times the square root of 9", "session_id": 9131, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "but we identified that the square root of 9 is 3", "session_id": 9131, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "so that means", "session_id": 9131, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "it's just 3 times the square root of 10", "session_id": 9131, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "so the square root of 90 can be simplified into", "session_id": 9131, "sequence_id": 80, "annotations": []}
{"role": "student", "content": "uhhh yea this is confusing", "session_id": 9131, "sequence_id": 81, "annotations": []}
{"role": "volunteer", "content": "it's alright", "session_id": 9131, "sequence_id": 82, "annotations": []}
{"role": "volunteer", "content": "basically", "session_id": 9131, "sequence_id": 83, "annotations": []}
{"role": "volunteer", "content": "you're able to split up the square roots perfectly", "session_id": 9131, "sequence_id": 84, "annotations": []}
{"role": "volunteer", "content": "but you mix up which one got multiplied to the -3 outside of the square root of 90", "session_id": 9131, "sequence_id": 85, "annotations": []}
{"role": "volunteer", "content": "basically what we are doing is expanding the expression right?", "session_id": 9131, "sequence_id": 86, "annotations": []}
{"role": "volunteer", "content": "-3 times the square root of 90", "session_id": 9131, "sequence_id": 87, "annotations": []}
{"role": "volunteer", "content": "u might have to scroll down a bit to see my work", "session_id": 9131, "sequence_id": 88, "annotations": []}
{"role": "volunteer", "content": "so then we break up the square root of 90", "session_id": 9131, "sequence_id": 89, "annotations": []}
{"role": "student", "content": "gtg", "session_id": 9131, "sequence_id": 90, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 9131, "sequence_id": 91, "annotations": []}
{"role": "student", "content": "Hi.", "session_id": 9010, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "I need help solving a problem.", "session_id": 9010, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "I started but I don\u2019t know what else to do.", "session_id": 9010, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "hello", "session_id": 9010, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "Hi.", "session_id": 9010, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "Can you show me the problem?", "session_id": 9010, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "Yes.", "session_id": 9010, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "What have you done so far?", "session_id": 9010, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "Just that in the green that how far I got.", "session_id": 9010, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "That's correct so far", "session_id": 9010, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "Now you need to figure out what goes at the red mark", "session_id": 9010, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "not 9", "session_id": 9010, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "9^2", "session_id": 9010, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "yes, 81", "session_id": 9010, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "why did you add 81 to one side but 9 to the other?", "session_id": 9010, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "I thought I was supposed to put 9 there.", "session_id": 9010, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "You always have to do the same thing to both sides - a fundamental law of algebra", "session_id": 9010, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "Now you write the left side as the square of a binomial", "session_id": 9010, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "Sorry I have to go.", "session_id": 9010, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "It might take me 10 minutes I was called to do something sorry.", "session_id": 9010, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "ok, bye", "session_id": 9010, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "Thank you for your help.", "session_id": 9010, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "Bye.", "session_id": 9010, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "you are welcome", "session_id": 9010, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "Oh", "session_id": 9165, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "Hi, what can I help with?", "session_id": 9165, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "are you able to", "session_id": 9165, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "use my", "session_id": 9165, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "Do you have a mic on your side?", "session_id": 9165, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "Yes I do let me try to enable It one second", "session_id": 9165, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "OK", "session_id": 9165, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "Hello", "session_id": 9165, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "Hello", "session_id": 9165, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "All right, what is the problem you're working on?", "session_id": 9165, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "This right here", "session_id": 9165, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "and you", "session_id": 9165, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 9165, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "this is for homework, isn't an actual test.", "session_id": 9165, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 9165, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "I", "session_id": 9165, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "and I have a few other ones that need to be done by 4 o'clock.", "session_id": 9165, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "Sorry, what did you say?", "session_id": 9165, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "Um, some other like", "session_id": 9165, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "3 more", "session_id": 9165, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "OK.", "session_id": 9165, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "after this one.", "session_id": 9165, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "Um, what are you stuck on for this", "session_id": 9165, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "I like to", "session_id": 9165, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "I'm confused on how to", "session_id": 9165, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "go about it.", "session_id": 9165, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "Yeah, like how to find, like which one.", "session_id": 9165, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "which um transformation.", "session_id": 9165, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "The dilation", "session_id": 9165, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "and the dilation.", "session_id": 9165, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "Let me look", "session_id": 9165, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "because", "session_id": 9165, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "reflect", "session_id": 9165, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "a reflection", "session_id": 9165, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "Mm", "session_id": 9165, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "across the X, then the", "session_id": 9165, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "y-axis", "session_id": 9165, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "would make sense.", "session_id": 9165, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "Yeah, I agree with that", "session_id": 9165, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "Did you", "session_id": 9165, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "Then", "session_id": 9165, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "how does this like um program work? Are you able to check it multiple times or is it only once like", "session_id": 9165, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "or do you just like turn it in at the end and then you see what you get wrong.", "session_id": 9165, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "I, I'm not able to see why I get wrong.", "session_id": 9165, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "Oh, you're not? OK", "session_id": 9165, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "So you said you think it's um reflection across the X, right?", "session_id": 9165, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 9165, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "And then what was the other one", "session_id": 9165, "sequence_id": 47, "annotations": []}
{"role": "student", "content": "Oh", "session_id": 9165, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "I think it's ANC.", "session_id": 9165, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "Let me see", "session_id": 9165, "sequence_id": 50, "annotations": []}
{"role": "student", "content": "but can we be", "session_id": 9165, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "for whatless because", "session_id": 9165, "sequence_id": 52, "annotations": []}
{"role": "student", "content": "I don't wanna get wrong", "session_id": 9165, "sequence_id": 53, "annotations": []}
{"role": "student", "content": "Um, I'm trying to pull my grade up.", "session_id": 9165, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "Yeah, OK.", "session_id": 9165, "sequence_id": 55, "annotations": []}
{"role": "student", "content": "I mean.", "session_id": 9165, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "I just, it's hard to see the points on my end, so I can't see the exact like", "session_id": 9165, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "numbers, but let me just double check cause", "session_id": 9165, "sequence_id": 58, "annotations": []}
{"role": "student", "content": "Uh.", "session_id": 9165, "sequence_id": 59, "annotations": []}
{"role": "student", "content": "Is that better?", "session_id": 9165, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "oh yeah", "session_id": 9165, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "Thank you.", "session_id": 9165, "sequence_id": 62, "annotations": []}
{"role": "student", "content": "Shouldn't just ask me", "session_id": 9165, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "I'm just double checking the reflections really quick because I haven't done this in a while.", "session_id": 9165, "sequence_id": 64, "annotations": []}
{"role": "student", "content": "That's OK", "session_id": 9165, "sequence_id": 65, "annotations": []}
{"role": "student", "content": "Good.", "session_id": 9165, "sequence_id": 66, "annotations": []}
{"role": "student", "content": "Mhm.", "session_id": 9165, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "OK, I think the reflection's correct, and I'm just trying to make sure that the rotation's right. 180 degrees, how would that move?", "session_id": 9165, "sequence_id": 68, "annotations": []}
{"role": "student", "content": "Oh, go into the negative.", "session_id": 9165, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "So, what did you say going to the what?", "session_id": 9165, "sequence_id": 70, "annotations": []}
{"role": "student", "content": "into the negative", "session_id": 9165, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 9165, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "So, let me just see, counter.", "session_id": 9165, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "clock wise its", "session_id": 9165, "sequence_id": 74, "annotations": []}
{"role": "student", "content": "Yes.", "session_id": 9165, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "So with the reflection across the X, it goes", "session_id": 9165, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "would go up one, like", "session_id": 9165, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "which one is it", "session_id": 9165, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "applied to shape I to prove that shape I is similar to shape.", "session_id": 9165, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "I, I, OK", "session_id": 9165, "sequence_id": 80, "annotations": []}
{"role": "student", "content": "Uh", "session_id": 9165, "sequence_id": 81, "annotations": []}
{"role": "student", "content": "the Roman numerals, shape 12.", "session_id": 9165, "sequence_id": 82, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 9165, "sequence_id": 83, "annotations": []}
{"role": "volunteer", "content": "So shape one is the one we start with then, right?", "session_id": 9165, "sequence_id": 84, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 9165, "sequence_id": 85, "annotations": []}
{"role": "volunteer", "content": "And the reflect across the ax would just go down and then", "session_id": 9165, "sequence_id": 86, "annotations": []}
{"role": "volunteer", "content": "across the why would go that way", "session_id": 9165, "sequence_id": 87, "annotations": []}
{"role": "volunteer", "content": "and", "session_id": 9165, "sequence_id": 88, "annotations": []}
{"role": "volunteer", "content": "then let's see", "session_id": 9165, "sequence_id": 89, "annotations": []}
{"role": "student", "content": "I", "session_id": 9165, "sequence_id": 90, "annotations": []}
{"role": "student", "content": "I", "session_id": 9165, "sequence_id": 91, "annotations": []}
{"role": "volunteer", "content": "What was the, what was the bottom option?", "session_id": 9165, "sequence_id": 92, "annotations": []}
{"role": "volunteer", "content": "Was it just a translation one, I think, right?", "session_id": 9165, "sequence_id": 93, "annotations": []}
{"role": "student", "content": "Yeah, just the translation.", "session_id": 9165, "sequence_id": 94, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 9165, "sequence_id": 95, "annotations": []}
{"role": "volunteer", "content": "Hm", "session_id": 9165, "sequence_id": 96, "annotations": []}
{"role": "volunteer", "content": "I'm just not sure about the rotation because", "session_id": 9165, "sequence_id": 97, "annotations": []}
{"role": "volunteer", "content": "I know it dilates", "session_id": 9165, "sequence_id": 98, "annotations": []}
{"role": "volunteer", "content": "so", "session_id": 9165, "sequence_id": 99, "annotations": []}
{"role": "volunteer", "content": "let me see. It might not be the reflection then because if you rotate 180 degrees.", "session_id": 9165, "sequence_id": 100, "annotations": []}
{"role": "volunteer", "content": "counterclockwise", "session_id": 9165, "sequence_id": 101, "annotations": []}
{"role": "volunteer", "content": "I feel that's like", "session_id": 9165, "sequence_id": 102, "annotations": []}
{"role": "volunteer", "content": "just switching it", "session_id": 9165, "sequence_id": 103, "annotations": []}
{"role": "volunteer", "content": "um", "session_id": 9165, "sequence_id": 104, "annotations": []}
{"role": "volunteer", "content": "from like the 3 quadrant.", "session_id": 9165, "sequence_id": 105, "annotations": []}
{"role": "student", "content": "For that point.", "session_id": 9165, "sequence_id": 106, "annotations": []}
{"role": "volunteer", "content": "to the 3rd", "session_id": 9165, "sequence_id": 107, "annotations": []}
{"role": "volunteer", "content": "Sorry, what did you say", "session_id": 9165, "sequence_id": 108, "annotations": []}
{"role": "student", "content": "Sport chance points.", "session_id": 9165, "sequence_id": 109, "annotations": []}
{"role": "volunteer", "content": "Yeah, so right now it's in the first quadrant, so it'd be", "session_id": 9165, "sequence_id": 110, "annotations": []}
{"role": "volunteer", "content": "and it's all positive, so then it would all become negative, right?", "session_id": 9165, "sequence_id": 111, "annotations": []}
{"role": "student", "content": "Right", "session_id": 9165, "sequence_id": 112, "annotations": []}
{"role": "volunteer", "content": "And then it says it's a dilation by scale factor 0.5, so then it becomes smaller.", "session_id": 9165, "sequence_id": 113, "annotations": []}
{"role": "volunteer", "content": "But with the reflection, I don't see where you have to reflect that afterwards. Do you get what I'm saying? Like,", "session_id": 9165, "sequence_id": 114, "annotations": []}
{"role": "volunteer", "content": "it would already be in that spot, I feel like.", "session_id": 9165, "sequence_id": 115, "annotations": []}
{"role": "student", "content": "The reason why I believe it's a reflection because", "session_id": 9165, "sequence_id": 116, "annotations": []}
{"role": "student", "content": "all reflects down.", "session_id": 9165, "sequence_id": 117, "annotations": []}
{"role": "student", "content": "across", "session_id": 9165, "sequence_id": 118, "annotations": []}
{"role": "volunteer", "content": "Oh", "session_id": 9165, "sequence_id": 119, "annotations": []}
{"role": "student", "content": "the two", "session_id": 9165, "sequence_id": 120, "annotations": []}
{"role": "volunteer", "content": "Oh wait, are these two separate like things that says, like, you can reflect it or you can do the", "session_id": 9165, "sequence_id": 121, "annotations": []}
{"role": "volunteer", "content": "um rotation", "session_id": 9165, "sequence_id": 122, "annotations": []}
{"role": "student", "content": "This is", "session_id": 9165, "sequence_id": 123, "annotations": []}
{"role": "student", "content": "this", "session_id": 9165, "sequence_id": 124, "annotations": []}
{"role": "volunteer", "content": "OK, then I think your answer is right then. I, I think I was just understanding the question wrong.", "session_id": 9165, "sequence_id": 125, "annotations": []}
{"role": "student", "content": "OK", "session_id": 9165, "sequence_id": 126, "annotations": []}
{"role": "student", "content": "now", "session_id": 9165, "sequence_id": 127, "annotations": []}
{"role": "volunteer", "content": "OK, let's see", "session_id": 9165, "sequence_id": 128, "annotations": []}
{"role": "student", "content": "it's are, aren't too good room to shape it.", "session_id": 9165, "sequence_id": 129, "annotations": []}
{"role": "volunteer", "content": "Hm", "session_id": 9165, "sequence_id": 130, "annotations": []}
{"role": "student", "content": "Look", "session_id": 9165, "sequence_id": 131, "annotations": []}
{"role": "student", "content": "similar but not congruent.", "session_id": 9165, "sequence_id": 132, "annotations": []}
{"role": "student", "content": "Like, not the same shape, basically.", "session_id": 9165, "sequence_id": 133, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 9165, "sequence_id": 134, "annotations": []}
{"role": "student", "content": "This one's similar.", "session_id": 9165, "sequence_id": 135, "annotations": []}
{"role": "student", "content": "All those are similar to Shape C, but", "session_id": 9165, "sequence_id": 136, "annotations": []}
{"role": "volunteer", "content": "Yeah, cause", "session_id": 9165, "sequence_id": 137, "annotations": []}
{"role": "student", "content": "this one's also congruent.", "session_id": 9165, "sequence_id": 138, "annotations": []}
{"role": "volunteer", "content": "yeah, that one's congruent cause it's the same size, right?", "session_id": 9165, "sequence_id": 139, "annotations": []}
{"role": "volunteer", "content": "Um", "session_id": 9165, "sequence_id": 140, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 9165, "sequence_id": 141, "annotations": []}
{"role": "volunteer", "content": "maybe the green, is that yellow or green, that kind of looks", "session_id": 9165, "sequence_id": 142, "annotations": []}
{"role": "volunteer", "content": "let me just double check, 12, OK, never mind, that's a little bit smaller.", "session_id": 9165, "sequence_id": 143, "annotations": []}
{"role": "volunteer", "content": "Um,", "session_id": 9165, "sequence_id": 144, "annotations": []}
{"role": "volunteer", "content": "What about the pink one", "session_id": 9165, "sequence_id": 145, "annotations": []}
{"role": "volunteer", "content": "It kinda looks like the same size, right?", "session_id": 9165, "sequence_id": 146, "annotations": []}
{"role": "student", "content": "All right", "session_id": 9165, "sequence_id": 147, "annotations": []}
{"role": "volunteer", "content": "So would that be, I think.", "session_id": 9165, "sequence_id": 148, "annotations": []}
{"role": "volunteer", "content": "So similar shapes do they have?", "session_id": 9165, "sequence_id": 149, "annotations": []}
{"role": "volunteer", "content": "eyes?", "session_id": 9165, "sequence_id": 150, "annotations": []}
{"role": "student", "content": "Also moves back for a unit.", "session_id": 9165, "sequence_id": 151, "annotations": []}
{"role": "volunteer", "content": "OK, yeah, I see that", "session_id": 9165, "sequence_id": 152, "annotations": []}
{"role": "volunteer", "content": "Um.", "session_id": 9165, "sequence_id": 153, "annotations": []}
{"role": "volunteer", "content": "OK, let's see. So", "session_id": 9165, "sequence_id": 154, "annotations": []}
{"role": "student", "content": "Um", "session_id": 9165, "sequence_id": 155, "annotations": []}
{"role": "student", "content": "actually I", "session_id": 9165, "sequence_id": 156, "annotations": []}
{"role": "student", "content": "this moves back", "session_id": 9165, "sequence_id": 157, "annotations": []}
{"role": "student", "content": "from right here to this point to that point.", "session_id": 9165, "sequence_id": 158, "annotations": []}
{"role": "student", "content": "it's free units back.", "session_id": 9165, "sequence_id": 159, "annotations": []}
{"role": "student", "content": "This is only 2 units back.", "session_id": 9165, "sequence_id": 160, "annotations": []}
{"role": "student", "content": "2.5 units", "session_id": 9165, "sequence_id": 161, "annotations": []}
{"role": "student", "content": "The orange one.", "session_id": 9165, "sequence_id": 162, "annotations": []}
{"role": "volunteer", "content": "Oh, cause they're different um", "session_id": 9165, "sequence_id": 163, "annotations": []}
{"role": "volunteer", "content": "like transformations", "session_id": 9165, "sequence_id": 164, "annotations": []}
{"role": "student", "content": "All right.", "session_id": 9165, "sequence_id": 165, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 9165, "sequence_id": 166, "annotations": []}
{"role": "volunteer", "content": "Um", "session_id": 9165, "sequence_id": 167, "annotations": []}
{"role": "student", "content": "but this pink ones for units back.", "session_id": 9165, "sequence_id": 168, "annotations": []}
{"role": "volunteer", "content": "Do you think that one's congruent then, right?", "session_id": 9165, "sequence_id": 169, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 9165, "sequence_id": 170, "annotations": []}
{"role": "volunteer", "content": "OK.", "session_id": 9165, "sequence_id": 171, "annotations": []}
{"role": "volunteer", "content": "Mm", "session_id": 9165, "sequence_id": 172, "annotations": []}
{"role": "volunteer", "content": "let's just check those.", "session_id": 9165, "sequence_id": 173, "annotations": []}
{"role": "volunteer", "content": "Yeah, I think that looks right. I'm just a little iffy on the orange one, but you said", "session_id": 9165, "sequence_id": 174, "annotations": []}
{"role": "volunteer", "content": "um if they're like similar, they could have like, they would have to have the same", "session_id": 9165, "sequence_id": 175, "annotations": []}
{"role": "volunteer", "content": "uh transformations", "session_id": 9165, "sequence_id": 176, "annotations": []}
{"role": "student", "content": "not exactly the same, but if it's similar, a congruent, congruent, you need the exact same.", "session_id": 9165, "sequence_id": 177, "annotations": []}
{"role": "volunteer", "content": "OK, so, orange wouldn't be.", "session_id": 9165, "sequence_id": 178, "annotations": []}
{"role": "volunteer", "content": "congruent then, because it's, it's different", "session_id": 9165, "sequence_id": 179, "annotations": []}
{"role": "student", "content": "Yes, because this little triangle right here goes", "session_id": 9165, "sequence_id": 180, "annotations": []}
{"role": "volunteer", "content": "Oh, I see, yeah.", "session_id": 9165, "sequence_id": 181, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 9165, "sequence_id": 182, "annotations": []}
{"role": "volunteer", "content": "OK.", "session_id": 9165, "sequence_id": 183, "annotations": []}
{"role": "volunteer", "content": "Um", "session_id": 9165, "sequence_id": 184, "annotations": []}
{"role": "volunteer", "content": "yeah, I think that's", "session_id": 9165, "sequence_id": 185, "annotations": []}
{"role": "volunteer", "content": "yeah, I think that looks right then", "session_id": 9165, "sequence_id": 186, "annotations": []}
{"role": "volunteer", "content": "pink is the one that really looks concurrent.", "session_id": 9165, "sequence_id": 187, "annotations": []}
{"role": "student", "content": "Um", "session_id": 9165, "sequence_id": 188, "annotations": []}
{"role": "student", "content": "What shape is similar to Shape one.", "session_id": 9165, "sequence_id": 189, "annotations": []}
{"role": "student", "content": "So", "session_id": 9165, "sequence_id": 190, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 9165, "sequence_id": 191, "annotations": []}
{"role": "volunteer", "content": "Um, I already forgot what shape one looked like.", "session_id": 9165, "sequence_id": 192, "annotations": []}
{"role": "student", "content": "shape one looks like this.", "session_id": 9165, "sequence_id": 193, "annotations": []}
{"role": "volunteer", "content": "OK, so it's", "session_id": 9165, "sequence_id": 194, "annotations": []}
{"role": "volunteer", "content": "right", "session_id": 9165, "sequence_id": 195, "annotations": []}
{"role": "volunteer", "content": "Um, and then let's look at the second one first. You can just go down by each one.", "session_id": 9165, "sequence_id": 196, "annotations": []}
{"role": "volunteer", "content": "Um, I don't think that one.", "session_id": 9165, "sequence_id": 197, "annotations": []}
{"role": "volunteer", "content": "would be right", "session_id": 9165, "sequence_id": 198, "annotations": []}
{"role": "volunteer", "content": "What was I asking if it's", "session_id": 9165, "sequence_id": 199, "annotations": []}
{"role": "student", "content": "OK", "session_id": 9165, "sequence_id": 200, "annotations": []}
{"role": "volunteer", "content": "huh?", "session_id": 9165, "sequence_id": 201, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 9165, "sequence_id": 202, "annotations": []}
{"role": "student", "content": "if it's similar, but if you're not", "session_id": 9165, "sequence_id": 203, "annotations": []}
{"role": "student", "content": "sure", "session_id": 9165, "sequence_id": 204, "annotations": []}
{"role": "student", "content": "if you're not sure about this, then I can just find another tutor.", "session_id": 9165, "sequence_id": 205, "annotations": []}
{"role": "volunteer", "content": "Um, yeah, I'm just, I'm just a little confused on", "session_id": 9165, "sequence_id": 206, "annotations": []}
{"role": "volunteer", "content": "like the similarity part cause I haven't, like I said, I haven't done that one in a while, but", "session_id": 9165, "sequence_id": 207, "annotations": []}
{"role": "volunteer", "content": "you can try to request another one. I'm not sure how many people are online.", "session_id": 9165, "sequence_id": 208, "annotations": []}
{"role": "student", "content": "OK", "session_id": 9165, "sequence_id": 209, "annotations": []}
{"role": "volunteer", "content": "So do you wanna stay in this one or do you wanna?", "session_id": 9165, "sequence_id": 210, "annotations": []}
{"role": "volunteer", "content": "request a new", "session_id": 9165, "sequence_id": 211, "annotations": []}
{"role": "student", "content": "It's up to you if it, if it's too hard to.", "session_id": 9165, "sequence_id": 212, "annotations": []}
{"role": "student", "content": "for you then", "session_id": 9165, "sequence_id": 213, "annotations": []}
{"role": "volunteer", "content": "I think we can try to work through it, but I just don't want you to get it wrong.", "session_id": 9165, "sequence_id": 214, "annotations": []}
{"role": "volunteer", "content": "It will hurt your grade", "session_id": 9165, "sequence_id": 215, "annotations": []}
{"role": "student", "content": "Plus I only have 5 minutes left.", "session_id": 9165, "sequence_id": 216, "annotations": []}
{"role": "student", "content": "before 4 o'clock", "session_id": 9165, "sequence_id": 217, "annotations": []}
{"role": "volunteer", "content": "Right?", "session_id": 9165, "sequence_id": 218, "annotations": []}
{"role": "student", "content": "And", "session_id": 9165, "sequence_id": 219, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 9165, "sequence_id": 220, "annotations": []}
{"role": "student", "content": "the small one", "session_id": 9165, "sequence_id": 221, "annotations": []}
{"role": "student", "content": "the", "session_id": 9165, "sequence_id": 222, "annotations": []}
{"role": "student", "content": "it looks like the same exact shape, just a different size.", "session_id": 9165, "sequence_id": 223, "annotations": []}
{"role": "volunteer", "content": "Um, which one? It's just a little bit like lagging on my end, so it's", "session_id": 9165, "sequence_id": 224, "annotations": []}
{"role": "student", "content": "B", "session_id": 9165, "sequence_id": 225, "annotations": []}
{"role": "volunteer", "content": "D", "session_id": 9165, "sequence_id": 226, "annotations": []}
{"role": "volunteer", "content": "or B", "session_id": 9165, "sequence_id": 227, "annotations": []}
{"role": "student", "content": "Now B", "session_id": 9165, "sequence_id": 228, "annotations": []}
{"role": "volunteer", "content": "Oh, sorry", "session_id": 9165, "sequence_id": 229, "annotations": []}
{"role": "volunteer", "content": "Yeah, I think that one looks pretty similar because it was like the same point", "session_id": 9165, "sequence_id": 230, "annotations": []}
{"role": "volunteer", "content": "And then what about", "session_id": 9165, "sequence_id": 231, "annotations": []}
{"role": "student", "content": "It's just dilated.", "session_id": 9165, "sequence_id": 232, "annotations": []}
{"role": "volunteer", "content": "yeah, let's look at um", "session_id": 9165, "sequence_id": 233, "annotations": []}
{"role": "volunteer", "content": "11 more time just to make sure.", "session_id": 9165, "sequence_id": 234, "annotations": []}
{"role": "student", "content": "There's one", "session_id": 9165, "sequence_id": 235, "annotations": []}
{"role": "volunteer", "content": "It's taking a minute to get there", "session_id": 9165, "sequence_id": 236, "annotations": []}
{"role": "volunteer", "content": "OK, so it's like a triangle and then like a", "session_id": 9165, "sequence_id": 237, "annotations": []}
{"role": "volunteer", "content": "boxing, OK, let's look at B.", "session_id": 9165, "sequence_id": 238, "annotations": []}
{"role": "volunteer", "content": "and then what we're C and D, just a double check.", "session_id": 9165, "sequence_id": 239, "annotations": []}
{"role": "volunteer", "content": "Yeah, I don't think it's C.", "session_id": 9165, "sequence_id": 240, "annotations": []}
{"role": "volunteer", "content": "and I don't think it's D either cause it's like a", "session_id": 9165, "sequence_id": 241, "annotations": []}
{"role": "volunteer", "content": "different shape", "session_id": 9165, "sequence_id": 242, "annotations": []}
{"role": "volunteer", "content": "So yeah, I agree with you. I think it's B.", "session_id": 9165, "sequence_id": 243, "annotations": []}
{"role": "student", "content": "I wanna go back down and look at the and.", "session_id": 9165, "sequence_id": 244, "annotations": []}
{"role": "student", "content": "to me it looks like it's just a 180 degree rotation.", "session_id": 9165, "sequence_id": 245, "annotations": []}
{"role": "student", "content": "because", "session_id": 9165, "sequence_id": 246, "annotations": []}
{"role": "student", "content": "23", "session_id": 9165, "sequence_id": 247, "annotations": []}
{"role": "student", "content": "are opposite of 2 and 3.", "session_id": 9165, "sequence_id": 248, "annotations": []}
{"role": "student", "content": "and uh", "session_id": 9165, "sequence_id": 249, "annotations": []}
{"role": "student", "content": "there's only one unit measured in between.", "session_id": 9165, "sequence_id": 250, "annotations": []}
{"role": "student", "content": "for", "session_id": 9165, "sequence_id": 251, "annotations": []}
{"role": "student", "content": "both of these", "session_id": 9165, "sequence_id": 252, "annotations": []}
{"role": "volunteer", "content": "Mhm", "session_id": 9165, "sequence_id": 253, "annotations": []}
{"role": "student", "content": "but it's only asking.", "session_id": 9165, "sequence_id": 254, "annotations": []}
{"role": "student", "content": "for civil it's nice and fork and ruin.", "session_id": 9165, "sequence_id": 255, "annotations": []}
{"role": "volunteer", "content": "Yeah, so I don't think the", "session_id": 9165, "sequence_id": 256, "annotations": []}
{"role": "student", "content": "So", "session_id": 9165, "sequence_id": 257, "annotations": []}
{"role": "volunteer", "content": "I think it's because of like you said, like the rotation and it's just like dilated.", "session_id": 9165, "sequence_id": 258, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 9165, "sequence_id": 259, "annotations": []}
{"role": "volunteer", "content": "So it's just the difference scale.", "session_id": 9165, "sequence_id": 260, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 9165, "sequence_id": 261, "annotations": []}
{"role": "student", "content": "OK", "session_id": 9165, "sequence_id": 262, "annotations": []}
{"role": "volunteer", "content": "OK.", "session_id": 9165, "sequence_id": 263, "annotations": []}
{"role": "student", "content": "What shapes are similar shape A and what shapes are not.", "session_id": 9165, "sequence_id": 264, "annotations": []}
{"role": "student", "content": "I", "session_id": 9165, "sequence_id": 265, "annotations": []}
{"role": "volunteer", "content": "OK, so same thing", "session_id": 9165, "sequence_id": 266, "annotations": []}
{"role": "volunteer", "content": "just like different sizes again.", "session_id": 9165, "sequence_id": 267, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 9165, "sequence_id": 268, "annotations": []}
{"role": "volunteer", "content": "I think", "session_id": 9165, "sequence_id": 269, "annotations": []}
{"role": "volunteer", "content": "just", "session_id": 9165, "sequence_id": 270, "annotations": []}
{"role": "student", "content": "yes", "session_id": 9165, "sequence_id": 271, "annotations": []}
{"role": "student", "content": "not conver", "session_id": 9165, "sequence_id": 272, "annotations": []}
{"role": "student", "content": "We don't want conru. We want some.", "session_id": 9165, "sequence_id": 273, "annotations": []}
{"role": "volunteer", "content": "OK, we can just like go through every shape. So what do you think about one?", "session_id": 9165, "sequence_id": 274, "annotations": []}
{"role": "volunteer", "content": "That one's rotated and it looks a little smaller.", "session_id": 9165, "sequence_id": 275, "annotations": []}
{"role": "volunteer", "content": "or", "session_id": 9165, "sequence_id": 276, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 9165, "sequence_id": 277, "annotations": []}
{"role": "volunteer", "content": "yeah", "session_id": 9165, "sequence_id": 278, "annotations": []}
{"role": "volunteer", "content": "So do you think that one could be um similar or congruent?", "session_id": 9165, "sequence_id": 279, "annotations": []}
{"role": "volunteer", "content": "or not similar", "session_id": 9165, "sequence_id": 280, "annotations": []}
{"role": "student", "content": "similar", "session_id": 9165, "sequence_id": 281, "annotations": []}
{"role": "volunteer", "content": "Yeah, I agree because it looks like a little", "session_id": 9165, "sequence_id": 282, "annotations": []}
{"role": "volunteer", "content": "different. I don't know if it's just", "session_id": 9165, "sequence_id": 283, "annotations": []}
{"role": "volunteer", "content": "my screen, but", "session_id": 9165, "sequence_id": 284, "annotations": []}
{"role": "volunteer", "content": "and then what's the next one, too?", "session_id": 9165, "sequence_id": 285, "annotations": []}
{"role": "student", "content": "that", "session_id": 9165, "sequence_id": 286, "annotations": []}
{"role": "volunteer", "content": "It looks to be like the same size as I.", "session_id": 9165, "sequence_id": 287, "annotations": []}
{"role": "student", "content": "but", "session_id": 9165, "sequence_id": 288, "annotations": []}
{"role": "student", "content": "You're really", "session_id": 9165, "sequence_id": 289, "annotations": []}
{"role": "student", "content": "it?", "session_id": 9165, "sequence_id": 290, "annotations": []}
{"role": "student", "content": "OK. Hey Chris, um.", "session_id": 9165, "sequence_id": 291, "annotations": [{"pii_type": "PERSON", "surrogate": "Chris", "start": 8, "end": 13}]}
{"role": "student", "content": "Are you there?", "session_id": 9165, "sequence_id": 292, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 9165, "sequence_id": 293, "annotations": []}
{"role": "volunteer", "content": "So it's like I have the one is not somewhere so far, right?", "session_id": 9165, "sequence_id": 294, "annotations": []}
{"role": "student", "content": "Uh", "session_id": 9165, "sequence_id": 295, "annotations": []}
{"role": "student", "content": "if you care", "session_id": 9165, "sequence_id": 296, "annotations": []}
{"role": "student", "content": "remember", "session_id": 9165, "sequence_id": 297, "annotations": []}
{"role": "student", "content": "too much about the subject, then I can always find love for children.", "session_id": 9165, "sequence_id": 298, "annotations": []}
{"role": "volunteer", "content": "Um, yeah, we can try it. It might put you back in with me because I don't know how many tutors are on right now, but", "session_id": 9165, "sequence_id": 299, "annotations": []}
{"role": "student", "content": "Um", "session_id": 9165, "sequence_id": 300, "annotations": []}
{"role": "volunteer", "content": "so do you wanna try to request one? I just don't want you to get it wrong.", "session_id": 9165, "sequence_id": 301, "annotations": []}
{"role": "student", "content": "Ultra", "session_id": 9165, "sequence_id": 302, "annotations": []}
{"role": "volunteer", "content": "OK, I'm sorry", "session_id": 9165, "sequence_id": 303, "annotations": []}
{"role": "student", "content": "That's OK", "session_id": 9165, "sequence_id": 304, "annotations": []}
{"role": "volunteer", "content": "hello", "session_id": 9210, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "hi", "session_id": 9210, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "I need help solving this problem. I'm having a lot of trouble with summation and how to solve problems that look like this", "session_id": 9210, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "I only have 20 minutes to do this problem for now though because I have to go to my next class then", "session_id": 9210, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 9210, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "You can break this apart.", "session_id": 9210, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "any questions about that so far?", "session_id": 9210, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "why did the 3 go to the other side of the symbol?", "session_id": 9210, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "You can pull a constant in front of the sigma, which means you are factoring it out.", "session_id": 9210, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "I will show you an example.", "session_id": 9210, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "okay", "session_id": 9210, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "See how that works?", "session_id": 9210, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "I think so", "session_id": 9210, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "There is a summation formula for 8+9+...+16, right?", "session_id": 9210, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "for the sum an arithmetic series", "session_id": 9210, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "n(n+1)/2", "session_id": 9210, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "ooh okay", "session_id": 9210, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "or actually, n(a1 +an)/2", "session_id": 9210, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "since it doesn't start at 1", "session_id": 9210, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "n=9 because there are 9 numbers in the the series.   16-8 +1 =9", "session_id": 9210, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "for the summation on the right, you are adding 4 to itself 9 times", "session_id": 9210, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "so that's 9 times 4", "session_id": 9210, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "any questions about that?", "session_id": 9210, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "um I think that makes sense", "session_id": 9210, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "are you all set with that question?", "session_id": 9210, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "okay I think I see what's going on", "session_id": 9210, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "there are summation formulas for sums of squares, sums of cubes, etc.", "session_id": 9210, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "ooh okayy", "session_id": 9210, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "okay yeah I think I'm making sense of it", "session_id": 9210, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "thank you", "session_id": 9210, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "You are very welcome.", "session_id": 9210, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "I have another problem but I wanna try to solve it by myself. Thank you for helpingg", "session_id": 9210, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "you are welcome.", "session_id": 9210, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "You can also change the index to start with 1, but I don't know if your class has done that.", "session_id": 9210, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "are you all set then?", "session_id": 9210, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "are you still there?  Perhaps you have left.", "session_id": 9210, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "Have a good rest of the day.", "session_id": 9210, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "bye", "session_id": 9210, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "i need help with my ixl 8.71 subtract 1.47", "session_id": 9187, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "hi", "session_id": 9187, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "hi", "session_id": 9187, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "how can I help you", "session_id": 9187, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "i need help with my ixl", "session_id": 9187, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "can you show problem in a table", "session_id": 9187, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "do you want me to write it on the littile sheet that i have", "session_id": 9187, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "sure", "session_id": 9187, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "ok", "session_id": 9187, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "it 8.7 / x", "session_id": 9187, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "8.71 suntract 1.47", "session_id": 9187, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "subtract", "session_id": 9187, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 9187, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "frist", "session_id": 9187, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "8 - 1 is", "session_id": 9187, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "7", "session_id": 9187, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "yup", "session_id": 9187, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 9187, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "71 - 47", "session_id": 9187, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "equal", "session_id": 9187, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "ok hold up let me figure it out right quick", "session_id": 9187, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "okay", "session_id": 9187, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "it mean", "session_id": 9187, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "you will do the number before the point frist", "session_id": 9187, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "then you figure out the number beside after that", "session_id": 9187, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "24", "session_id": 9187, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "Good", "session_id": 9187, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "so the answer is 7.24", "session_id": 9187, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "so the answer 7.24 or no", "session_id": 9187, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "ok", "session_id": 9187, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "have any questions you want ask me", "session_id": 9187, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "yes", "session_id": 9187, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "this one is the last one", "session_id": 9187, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "ok can you chat it I will write in a board for you", "session_id": 9187, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "or if you want to write in a board", "session_id": 9187, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "I work both", "session_id": 9187, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "wait this one is easy do you still want me to write it down", "session_id": 9187, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "sure I want to show you each step", "session_id": 9187, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "ok", "session_id": 9187, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "for sure you understand it", "session_id": 9187, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "right", "session_id": 9187, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "0+0 is", "session_id": 9187, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "0", "session_id": 9187, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "Correct", "session_id": 9187, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "how about 3+2", "session_id": 9187, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "they are both 5 right", "session_id": 9187, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "no you need to write 0.5", "session_id": 9187, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "5 and 0.5 is different", "session_id": 9187, "sequence_id": 47, "annotations": []}
{"role": "student", "content": "i know i was saying like its 2+3 still five even if its turned around", "session_id": 9187, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "Right", "session_id": 9187, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "yesss", "session_id": 9187, "sequence_id": 50, "annotations": []}
{"role": "student", "content": "ok", "session_id": 9187, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "good job", "session_id": 9187, "sequence_id": 52, "annotations": []}
{"role": "student", "content": "thank you", "session_id": 9187, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "your welcome", "session_id": 9187, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "hope you have nice day", "session_id": 9187, "sequence_id": 55, "annotations": []}
{"role": "student", "content": "you to", "session_id": 9187, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "Hey", "session_id": 9237, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "Halloween is tomorrow", "session_id": 9237, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "Hello I have a couple questions I need help with", "session_id": 9237, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "You excited? Are you gonna dress up?", "session_id": 9237, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "And sure go on", "session_id": 9237, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "I don't really do anything on Halloween", "session_id": 9237, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "ok", "session_id": 9237, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "Oh", "session_id": 9237, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "these are the first two I have a couple others I don't understand how to solve them at all", "session_id": 9237, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "Are there answer choices for this one?", "session_id": 9237, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "yes its multiple choice questions", "session_id": 9237, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "about the side opposite or the side adjacent", "session_id": 9237, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "What are the choices for the first one?", "session_id": 9237, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "So for #2, we have to use inverse trig functions", "session_id": 9237, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "ok how do I do that", "session_id": 9237, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "Make sure calculator is in degrees", "session_id": 9237, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "ok I have my scientific calculator", "session_id": 9237, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "what do I input", "session_id": 9237, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "oh ok", "session_id": 9237, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "You see what I put?", "session_id": 9237, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "yes", "session_id": 9237, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "I got 54.5", "session_id": 9237, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "so 54.5", "session_id": 9237, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "where did 35.5 come form though", "session_id": 9237, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "90-54.5", "session_id": 9237, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "oh because its a right angle ok", "session_id": 9237, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "#3", "session_id": 9237, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "To get x by itself", "session_id": 9237, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "so just input it like this sin(41)", "session_id": 9237, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "to get the answer", "session_id": 9237, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "oh ok", "session_id": 9237, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "Find out what the value of h is", "session_id": 9237, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "4.33", "session_id": 9237, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "Jamie fallowing along so far?", "session_id": 9237, "sequence_id": 33, "annotations": [{"pii_type": "PERSON", "surrogate": "Jamie", "start": 0, "end": 5}]}
{"role": "student", "content": "yes this is really helping me thank you", "session_id": 9237, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "You want to find the last one on your own?", "session_id": 9237, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "ok", "session_id": 9237, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "it is the last answer", "session_id": 9237, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "I think", "session_id": 9237, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "30.03 right", "session_id": 9237, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "Yup", "session_id": 9237, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "Any others?", "session_id": 9237, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "no thank you so much for your help you've helped me a lot is there a certain time you're on here so when I need help in the future I might be able to get you you've helped me more than any of my other tutors", "session_id": 9237, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "10 -1, 2-4\n\nSometimes I'm on linger than that", "session_id": 9237, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "So you'll def see me again :)", "session_id": 9237, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "so you're on every day", "session_id": 9237, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 9237, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "Sometimes I'm on weekends as well", "session_id": 9237, "sequence_id": 47, "annotations": []}
{"role": "student", "content": "ok ty so much have a wonderful day", "session_id": 9237, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "Happy Halloween kiddo", "session_id": 9237, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "See ya again soon", "session_id": 9237, "sequence_id": 50, "annotations": []}
{"role": "student", "content": "ty you too", "session_id": 9237, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "bye", "session_id": 9237, "sequence_id": 52, "annotations": []}
{"role": "student", "content": "I need help with the summation equation. In the equation I am working on, 16 is on the top, k=8 is on the bottom and in the middle is 3k+4", "session_id": 9215, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "Hi Sophia: How are you today?", "session_id": 9215, "sequence_id": 1, "annotations": [{"pii_type": "PERSON", "surrogate": "Sophia", "start": 3, "end": 9}]}
{"role": "student", "content": "I'm okayy", "session_id": 9215, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "If I understand your post correctly, you need to input x = 8, 9, 10...16 one at a time into the equation and add up their sums", "session_id": 9215, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "I think so, but i'm not sure. Im having a lot of problems with summation", "session_id": 9215, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "the weird symbol is throwing me off a lot", "session_id": 9215, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "Does what I wrote make sense?", "session_id": 9215, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "um did you just plug numbers into the 3k+4 part of the equation", "session_id": 9215, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "yup, and then add the sums of each calculation together", "session_id": 9215, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "wait I'm confused", "session_id": 9215, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "Write each sum on the blanks plz", "session_id": 9215, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "Ok, now keep on doing this with the other integers up to 16 and add these sums", "session_id": 9215, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "Sorry, but I have to run, hope this helped!", "session_id": 9215, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "They", "session_id": 9245, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "How can I help you, Leo", "session_id": 9245, "sequence_id": 1, "annotations": [{"pii_type": "PERSON", "surrogate": "Leo", "start": 20, "end": 23}]}
{"role": "volunteer", "content": "If you would like that, you can just go ahead and copy and paste your problem here into the whiteboard so that I can see.", "session_id": 9245, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "I want to learn something new", "session_id": 9245, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "OK, so what", "session_id": 9245, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "it is something new for you.", "session_id": 9245, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "yes it is I  just came to fifth grade", "session_id": 9245, "sequence_id": 6, "annotations": [{"pii_type": "GRADE_LEVEL", "surrogate": "fifth grade", "start": 26, "end": 37}]}
{"role": "volunteer", "content": "Well", "session_id": 9245, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "so the", "session_id": 9245, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "fifth grade math, OK, so you need to come up with something specific because there's so many subjects here. I don't know which one that interests you the most.", "session_id": 9245, "sequence_id": 9, "annotations": [{"pii_type": "GRADE_LEVEL", "surrogate": "fifth grade", "start": 0, "end": 11}]}
{"role": "student", "content": "yes sir", "session_id": 9245, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "So be specific, be specific about one particular subject, please.", "session_id": 9245, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "Solve for x: 3(2x - 5) + 4 = 19. ...", "session_id": 9245, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "I working on that", "session_id": 9245, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "OK, uh, sorrowful act, OK. Hang on.", "session_id": 9245, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "OK, here. So let me copy your problem, OK, so it's going to be here, well, it's gonna be 3, right, and then 2 x minus 5.", "session_id": 9245, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "+ 4 equal to 19. Am I correct? Yes. So this is what we call the left-hand side, and this is what we call the right-hand side. Am I correct? Yes, but, OK, now the first thing we need to do is that well we have to end it out the left-hand side so that eventually here by the end of the story here, so you got only one single act. So what you are going after is that the situation, the format like this X equal to something something. Am I correct?", "session_id": 9245, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "OK. Once you've got X on the left-hand side and everything else on the right hand side here. So that is the solution, am I right? So let's go forward, OK. So the easiest one for you to go forward is that, well, first of all, you need to move this one here from the left hand set to left hand side, OK. Meaning what meaning here? Well, looks like here I need to", "session_id": 9245, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "subtract 4 on the left-hand side and doing so, we have to do the same thing to the right-hand side, right, yes, so remember here just like what your teacher said. So this is an equation. So you have to put an equation and just like a scale, OK. You can do whatever you want to the left-hand side, but you got to do the same thing to do at tennis that and I like, so that the scale still balanced. It doesn't tip to one side or another.", "session_id": 9245, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "OK, but so, so let's do it. OK, so let's give me 3 here, 2 x minus 5 + 4.", "session_id": 9245, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "x=5", "session_id": 9245, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "is it x=5", "session_id": 9245, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "OK, minus 4, yes, so I'm introduced minus 4 here to the left hand side, it's OK as long as you do the same thing here to the right-hand side as well. Did you see? So it can balance out the my client, yes, so remember here we always, always have to treat the equation as a", "session_id": 9245, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "as a, as a scale, OK.", "session_id": 9245, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "OK, now, and of course, let's go forward here. So looks like this is 4, positive, and it's manageable. Of course, it goes without saying here. So this one is gonna be coming down to 0, am I correct? Yes, and here, so it's gonna be you end up", "session_id": 9245, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "as a second step, you get 3 here and then 2X minus 5 here, OK, plus 0 remember here because we already reduced 4 minus 4 into just 0. And then this one, of course, 19 minus 4 equals 1615. Am I right?", "session_id": 9245, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "Sounds good", "session_id": 9245, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "But, and then after that here, well, so I don't think I have to write this one anymore because 0 is nothing, OK, right, so here, so we got something like this, 3, and then 2 X minus y equal to 15.", "session_id": 9245, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "Yes, right, and then after that, what after that here, well remember here that our goal is still the same thing. So what I'm aiming for is that I have to have a situation in which that the left hand set equal to just only act here, get equal equal equal something, am I correct? OK, so what is the next step? The next step is that I would like to get rid of this history here. But, OK, how? Well, of course, that I have to define left-hand side by 3 at the same", "session_id": 9245, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "time here. Remember here equation is nothing but a scale, whatever you do to the left hand side, it's OK as long as you do the same thing to the tenet, am I correct? Yes, so I hope, I think that this is the same way that your teacher talked about it.", "session_id": 9245, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "OK. So go ahead, divided by 3 and divided by 3. Yes. So let me repeat one more time because this is very, very important concept here in algebra. This is an equation, an equation is just like a scale in daily life. So whatever you do on the left and then it's OK as long as you do the same thing to the right-hand side.", "session_id": 9245, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "OK. So of course, from here, let's focusing on the left hand side first. This is 3, this is the, of course, you can just easily canceling out. A my product gone?", "session_id": 9245, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "Yes, OK.", "session_id": 9245, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "yes", "session_id": 9245, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "OK. So here, the next step is gonna be 2 x minus 5 here equal to 1, 15 divided 3, of course it goes without saying. It's very simple. It's gonna be 5.", "session_id": 9245, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "Am I correct", "session_id": 9245, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "Yes, right, am I correct? Yes, 15 divided by 3 is 5. So 3, looking at the left-hand set, 3 and 3 canceling out gone, am I correct?", "session_id": 9245, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "I cant see the problem", "session_id": 9245, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "Yes. And then after that here, well, so it looks like here again here remember here I my goal is still the same thing as equal to something, something, something like that. So it has to be alone on the left-hand side, whereas everything else is going to the right hand side. OK. So the next thing is that I need to do the same thing here. I need to get rid of this one, OK?", "session_id": 9245, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "OK. And then here, of course, that do the same thing here, there, OK, so I need to put in positive 5 on the left hand side. In doing so, because I'm treating this equation as a scale. I got to do the same thing to do about 10 cents. So we got here to X minus 5 + 5 is it? Yes, so this is something new that I introduced to the left and sense and then 5 + 5 is it?", "session_id": 9245, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "Yes, sounds good. OK. And then after that here, well, again, the same thing happened just like the last time here. So this is negative and this is positive, of course, they are gone. (-5 + 5) becomes zero, right? OK. At the same time here, OK, at the same time here, meaning that it's going to act only my, so I no longer have to write the neg55, they are gone here and then 0 I I like because 5 times, excuse me, 5 + 5 is 10, OK.", "session_id": 9245, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "x=5", "session_id": 9245, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "Yes. Now, so here, again here, remember here my goal is x equal to something, something on the left hand side and the left and everything else on the right hand side. So I'm very close, OK. So the only thing that I still need to do is that, well, I think that I need to get rid of the two, and I like.", "session_id": 9245, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "Yes, so here, of course, is funded by 2, it's by 2 X", "session_id": 9245, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "X.", "session_id": 9245, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "exactly", "session_id": 9245, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 9245, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "Uh, there's I know the answer.", "session_id": 9245, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "Yes", "session_id": 9245, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "Yeah, I think it's, oh", "session_id": 9245, "sequence_id": 49, "annotations": []}
{"role": "student", "content": "oh, you already answered it", "session_id": 9245, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "Yes, uh-huh, X equal to 5. That's correct.", "session_id": 9245, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "Uh", "session_id": 9245, "sequence_id": 52, "annotations": []}
{"role": "student", "content": "Look later and check. Later in chat, it shows that I put the answer, but I guess you didn't see it.", "session_id": 9245, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "Yeah, the answer is 5, that's correct. This is what you've said here X equal to 5. That's correct.", "session_id": 9245, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "Good.", "session_id": 9245, "sequence_id": 55, "annotations": []}
{"role": "student", "content": "Thank you. You helped a lot. Um", "session_id": 9245, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "Yeah, you are correct", "session_id": 9245, "sequence_id": 57, "annotations": []}
{"role": "student", "content": "Thank you. You brought, you brought it in a lot of steps and showed me step by step how to do this. It helps a lot.", "session_id": 9245, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 9245, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "Thank you.", "session_id": 9245, "sequence_id": 60, "annotations": []}
{"role": "student", "content": "The teacher just suggested it and like a couple steps and I can't really understand him that well.", "session_id": 9245, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "OK, it might be possible your teacher is running out of time here, OK, so you have to be", "session_id": 9245, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "well, maybe, yeah, I think, I think maybe the the best explanation that your teacher may be running out of time. So she doesn't see or he doesn't have time to follow through but one by one.", "session_id": 9245, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "But I'm glad you came here so that at least", "session_id": 9245, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "you see that all the necessary steps in order to arrive.", "session_id": 9245, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "at the final solution.", "session_id": 9245, "sequence_id": 66, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 9245, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "OK. Do you have any other question? I think that we still have some time, hopefully.", "session_id": 9245, "sequence_id": 68, "annotations": []}
{"role": "student", "content": "Oh, I have a bunch of to, uh, you might not. I have a lot of time cause", "session_id": 9245, "sequence_id": 69, "annotations": []}
{"role": "student", "content": "I'm doing my work", "session_id": 9245, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "Yeah, but you know that, yeah, the system, the system that limits our confession only to about 24 minutes, so for some reason.", "session_id": 9245, "sequence_id": 71, "annotations": []}
{"role": "student", "content": "Oh, OK.", "session_id": 9245, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "Yeah, so it's not about, I have also your, I mean, I have also a lot of time. You also have a lot of time, but the system cut off", "session_id": 9245, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "about 24 minutes.", "session_id": 9245, "sequence_id": 74, "annotations": []}
{"role": "student", "content": "Well, that's kind of not fair", "session_id": 9245, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "I'm sorry here. So it is not under my control.", "session_id": 9245, "sequence_id": 76, "annotations": []}
{"role": "student", "content": "Yeah, I understand.", "session_id": 9245, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "Yes, OK. So in what state you are in Leo, if you may.", "session_id": 9245, "sequence_id": 78, "annotations": [{"pii_type": "PERSON", "surrogate": "Leo", "start": 37, "end": 40}]}
{"role": "student", "content": "Uh", "session_id": 9245, "sequence_id": 79, "annotations": []}
{"role": "student", "content": "uh, I'm in Miami.", "session_id": 9245, "sequence_id": 80, "annotations": [{"pii_type": "LOCATION", "surrogate": "Miami", "start": 11, "end": 16}]}
{"role": "volunteer", "content": "Oh, OK, OK. Sounds good. OK", "session_id": 9245, "sequence_id": 81, "annotations": []}
{"role": "student", "content": "All right", "session_id": 9245, "sequence_id": 82, "annotations": []}
{"role": "student", "content": "Thank you for this, this helps me out a lot.", "session_id": 9245, "sequence_id": 83, "annotations": []}
{"role": "volunteer", "content": "Sure, absolutely. Anytime, anytime. I wish you good luck, Leo.", "session_id": 9245, "sequence_id": 84, "annotations": [{"pii_type": "PERSON", "surrogate": "Leo", "start": 58, "end": 61}]}
{"role": "student", "content": "You were, oh, OK, you too. Uh.", "session_id": 9245, "sequence_id": 85, "annotations": []}
{"role": "volunteer", "content": "OK, OK, bye-bye. Say hello to your pattern, OK?", "session_id": 9245, "sequence_id": 86, "annotations": []}
{"role": "student", "content": "I, I'll", "session_id": 9245, "sequence_id": 87, "annotations": []}
{"role": "student", "content": "OK", "session_id": 9245, "sequence_id": 88, "annotations": []}
{"role": "volunteer", "content": "Thank you so much. Bye-bye. Good. Excuse me, I'm sorry. Have a good day.", "session_id": 9245, "sequence_id": 89, "annotations": []}
{"role": "student", "content": "It's OK, bye.", "session_id": 9245, "sequence_id": 90, "annotations": []}
{"role": "volunteer", "content": "OK. It's a bad, bad, I'm bad.", "session_id": 9245, "sequence_id": 91, "annotations": []}
{"role": "volunteer", "content": "Bye-bye", "session_id": 9245, "sequence_id": 92, "annotations": []}
{"role": "student", "content": "so i need help with", "session_id": 9220, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "math", "session_id": 9220, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "so the question is to find 1/3 of the total number of fruits divide the total number of fruits by", "session_id": 9220, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "Hi Liam! How can I help you today", "session_id": 9220, "sequence_id": 3, "annotations": [{"pii_type": "PERSON", "surrogate": "Liam", "start": 3, "end": 7}]}
{"role": "volunteer", "content": "Can you put the complete question on here please?", "session_id": 9220, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "if you can upload a screenshot or something it's good as well", "session_id": 9220, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "done", "session_id": 9220, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "i see", "session_id": 9220, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "so here is an example", "session_id": 9220, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "if we have three people here, and 12 cake", "session_id": 9220, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "and we want each person to have the equal amount of cake", "session_id": 9220, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "this means each of us will have 1/3 of the total number of cakes right", "session_id": 9220, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "or fruits in your case", "session_id": 9220, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "so how many fruits can each of us get?", "session_id": 9220, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "1/3\\", "session_id": 9220, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "but it didnt work", "session_id": 9220, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "it is only numbers", "session_id": 9220, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "no letters", "session_id": 9220, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "1/3 is divide a thing to 3 pieces right?", "session_id": 9220, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "so that each piece is 1/3 of the whole thing", "session_id": 9220, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "say that we have 3 fruits in total, and to find 1/3 of the total 3 fruits, it is 3 times 1/3, or in other words, it is 3 devided by 3", "session_id": 9220, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "*divided", "session_id": 9220, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "let me know if any of those were not clear!", "session_id": 9220, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "Hi Liam, are you still there? do you need more explanations for this? :)", "session_id": 9220, "sequence_id": 23, "annotations": [{"pii_type": "PERSON", "surrogate": "Liam", "start": 3, "end": 7}]}
{"role": "volunteer", "content": "I will end the session right now, but if you need anything else, feel free to come again!", "session_id": 9220, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "Have a nice day!", "session_id": 9220, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "Hi", "session_id": 9337, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "hii", "session_id": 9337, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "How can I help you?", "session_id": 9337, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "Okay, i need help determ", "session_id": 9337, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "woah", "session_id": 9337, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "oops", "session_id": 9337, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "determining if a figure has symmetry, axis symmetry both or neither", "session_id": 9337, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "and i dont understand it", "session_id": 9337, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "Ok", "session_id": 9337, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "plane symmetry*", "session_id": 9337, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "So what do you know so far abut plane and acix symmetry", "session_id": 9337, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "quite literally nothing", "session_id": 9337, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "\ud83d\ude05", "session_id": 9337, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "Totally fine", "session_id": 9337, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "so a line of symmetry is a line that cuts a figure into two parts that are reflections of each other", "session_id": 9337, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "ohh", "session_id": 9337, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "does what I just drew make sense?", "session_id": 9337, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "yeah!", "session_id": 9337, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "Perfect now do you know the different between a plane and a axis/line", "session_id": 9337, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "not really", "session_id": 9337, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "ok so a plane is 2D", "session_id": 9337, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "\ud83d\ude05", "session_id": 9337, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "ohh", "session_id": 9337, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "so think of it as a rectangle but extending forever", "session_id": 9337, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "and line is 1D because it only goes in one direction", "session_id": 9337, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "like a rectangle has length and width", "session_id": 9337, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "and a line only has width", "session_id": 9337, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "does this make sense?", "session_id": 9337, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "kinda?", "session_id": 9337, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "What are you struggling to understand", "session_id": 9337, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "its totally fine, this topic is tough", "session_id": 9337, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "haha yeah", "session_id": 9337, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "im kinda strugging to understand the difference between 2d and 1d", "session_id": 9337, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "ok so a plane is basically a rectangle in all directions", "session_id": 9337, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "a rectangle i considered 2D because it has two dimensions (length and width)", "session_id": 9337, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "a line on the other hand does not have a width", "session_id": 9337, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "and only has a length (which means only one dimension)", "session_id": 9337, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "oh okay i think i get it now", "session_id": 9337, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "so a axis of symmetry and a plane of symmetry are different because an axis is a line, and a plane is 2D", "session_id": 9337, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "this means a axis of symmetry is normally cuting a 2D object", "session_id": 9337, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "and a plane normally cuts a 3D object", "session_id": 9337, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "Ohh", "session_id": 9337, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "I am not sure how to draw this so let me find a picture", "session_id": 9337, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "i have my homework pulled up i have 4 examples?/", "session_id": 9337, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "sure", "session_id": 9337, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "lets take a look at those", "session_id": 9337, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "okk", "session_id": 9337, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "great", "session_id": 9337, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "so is this figure 2D or 3D", "session_id": 9337, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "i think its supposed to be 3d", "session_id": 9337, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "do you havea screenshot yo ucould upload?", "session_id": 9337, "sequence_id": 50, "annotations": []}
{"role": "student", "content": "let me attempt to do that", "session_id": 9337, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "great! thank you", "session_id": 9337, "sequence_id": 52, "annotations": []}
{"role": "student", "content": "okk so im on my home computer and im like struggling to get a photo of my school coputer", "session_id": 9337, "sequence_id": 53, "annotations": []}
{"role": "student", "content": "computer*", "session_id": 9337, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "umm totally fine", "session_id": 9337, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "so considering this figure is 3D", "session_id": 9337, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "which one do you htink the symmetry is Plane or axis?", "session_id": 9337, "sequence_id": 57, "annotations": []}
{"role": "student", "content": "it'd be plane?", "session_id": 9337, "sequence_id": 58, "annotations": []}
{"role": "student", "content": "no", "session_id": 9337, "sequence_id": 59, "annotations": []}
{"role": "student", "content": "wait", "session_id": 9337, "sequence_id": 60, "annotations": []}
{"role": "student", "content": "axis?", "session_id": 9337, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "it was most likely be plane", "session_id": 9337, "sequence_id": 62, "annotations": []}
{"role": "student", "content": "oh", "session_id": 9337, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "This is because in a 3D object the object cut by a line does not completely cut the object", "session_id": 9337, "sequence_id": 64, "annotations": []}
{"role": "student", "content": "ohh", "session_id": 9337, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "See in these images the 2D plane is able to cut throguh the entire 3d Object", "session_id": 9337, "sequence_id": 66, "annotations": []}
{"role": "student", "content": "ohh!", "session_id": 9337, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "Does this make more sense", "session_id": 9337, "sequence_id": 68, "annotations": []}
{"role": "student", "content": "yes it does", "session_id": 9337, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "so when there is a 2D object, it is normally a axis", "session_id": 9337, "sequence_id": 70, "annotations": []}
{"role": "student", "content": "i put plane symmetry as the answer but its marking it as wrong", "session_id": 9337, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "and then it is a 3D object, it is normally a plane", "session_id": 9337, "sequence_id": 72, "annotations": []}
{"role": "student", "content": "ohh", "session_id": 9337, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "since it is marking it wrong i think it could be a special case", "session_id": 9337, "sequence_id": 74, "annotations": []}
{"role": "student", "content": "how come", "session_id": 9337, "sequence_id": 75, "annotations": []}
{"role": "student", "content": "?", "session_id": 9337, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "it could be similar to the orange image", "session_id": 9337, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "where even though its 3D it still only has a ont dimentional simmetry", "session_id": 9337, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "this is because at the point specifically there is a place that drops down dimensions", "session_id": 9337, "sequence_id": 79, "annotations": []}
{"role": "student", "content": "oh", "session_id": 9337, "sequence_id": 80, "annotations": []}
{"role": "student", "content": "i dont think we've learned point symmetry yet, its only giving me four options", "session_id": 9337, "sequence_id": 81, "annotations": []}
{"role": "volunteer", "content": "what ar the four options?", "session_id": 9337, "sequence_id": 82, "annotations": []}
{"role": "student", "content": "plane symmetry, axis symmetry, both or neither", "session_id": 9337, "sequence_id": 83, "annotations": []}
{"role": "volunteer", "content": "oh", "session_id": 9337, "sequence_id": 84, "annotations": []}
{"role": "volunteer", "content": "then it could be neither because if there is not symmetry then it is neither", "session_id": 9337, "sequence_id": 85, "annotations": []}
{"role": "student", "content": "you were right", "session_id": 9337, "sequence_id": 86, "annotations": []}
{"role": "volunteer", "content": "great", "session_id": 9337, "sequence_id": 87, "annotations": []}
{"role": "student", "content": "thank you!", "session_id": 9337, "sequence_id": 88, "annotations": []}
{"role": "volunteer", "content": "so doers this make more sense?", "session_id": 9337, "sequence_id": 89, "annotations": []}
{"role": "student", "content": "yeah!", "session_id": 9337, "sequence_id": 90, "annotations": []}
{"role": "volunteer", "content": "perfect I have to go now, and I loved working with you Alex", "session_id": 9337, "sequence_id": 91, "annotations": [{"pii_type": "PERSON", "surrogate": "Alex", "start": 55, "end": 59}]}
{"role": "volunteer", "content": "Good luck!", "session_id": 9337, "sequence_id": 92, "annotations": []}
{"role": "student", "content": "ithank you!", "session_id": 9337, "sequence_id": 93, "annotations": []}
{"role": "student", "content": "have a good night/day", "session_id": 9337, "sequence_id": 94, "annotations": []}
{"role": "volunteer", "content": "You too!", "session_id": 9337, "sequence_id": 95, "annotations": []}
{"role": "volunteer", "content": "Howdy !", "session_id": 9387, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "Hi", "session_id": 9387, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "So you've got some math stuff to go over?", "session_id": 9387, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "Yeah trying to prepare for a quiz for next hour", "session_id": 9387, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "Okey dokey.", "session_id": 9387, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "Something you can post on the whiteboard?", "session_id": 9387, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "before i get into that i have a question", "session_id": 9387, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "have you heard of the fancy R", "session_id": 9387, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "Nope.", "session_id": 9387, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "how lovely, alright lol", "session_id": 9387, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "I just googled it and apparently it can mean many different things depending on context.", "session_id": 9387, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "Usually denotes the set of all real numbers in math stuff.", "session_id": 9387, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "Vertex and x intercepts", "session_id": 9387, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "Okay, so this is a parabola that opens up (since the x is squared and its coefficient is +1).", "session_id": 9387, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "Vertex lies on the axis of symmetry which occurs at x = -b/2a", "session_id": 9387, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "Sorry -b/2a", "session_id": 9387, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "Okay so far?", "session_id": 9387, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 9387, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "So now you plug that x value back into the original equation to find the matching y value.", "session_id": 9387, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "And there we have the vertex.", "session_id": 9387, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "Ready for the intercepts?", "session_id": 9387, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 9387, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "So, the y intercept is easiest and we'll do that first.", "session_id": 9387, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "Plug in 0 for x and you get 5 for y.", "session_id": 9387, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "So (0, 5) is the y intercept.", "session_id": 9387, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "Ready for the x ones?", "session_id": 9387, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "indeed", "session_id": 9387, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "Can I erase that blue text?", "session_id": 9387, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 9387, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "So the x intercepts are when y = 0.", "session_id": 9387, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "So we set that equation = 0 and solve for x.", "session_id": 9387, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "There are 3 ways to do this (other than graphing).", "session_id": 9387, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "1. Factor", "session_id": 9387, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "2. Complete the square", "session_id": 9387, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "3. Quadratic formula (this will ALWAYS work) and is thus what I recommend.", "session_id": 9387, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "Which way to you wanna solve it?", "session_id": 9387, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "quadratic", "session_id": 9387, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "Okey dokey.", "session_id": 9387, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "This one is easily factored so I wrote that on the board as well.", "session_id": 9387, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "So to use the quadratic, you have to make sure the equation is in the standard format of ax^2 + bx + c", "session_id": 9387, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "Which is already is with a = 1 b = 6 and c = 5", "session_id": 9387, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "Make sense?", "session_id": 9387, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 9387, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": ":-)", "session_id": 9387, "sequence_id": 43, "annotations": []}
{"role": "student", "content": "now i have a question", "session_id": 9387, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "lets say you start with imaginary numbers, like i for example", "session_id": 9387, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "how do you get it into factored form", "session_id": 9387, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "So what is the other factor?", "session_id": 9387, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "Are you asking what happens if the discriminant (that b squared minus 4ac term) is negative?", "session_id": 9387, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "i found an actual example", "session_id": 9387, "sequence_id": 49, "annotations": []}
{"role": "student", "content": "so like i have the zeros", "session_id": 9387, "sequence_id": 50, "annotations": []}
{"role": "student", "content": "-3, 1, -2i", "session_id": 9387, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "Can I erase what's on the board?", "session_id": 9387, "sequence_id": 52, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 9387, "sequence_id": 53, "annotations": []}
{"role": "student", "content": "-3, 1, 1-2i, 1+2i disregard the other one", "session_id": 9387, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "So the basic idea here is that if 5 (for example) is a zero then (x - 5) is a factor.", "session_id": 9387, "sequence_id": 55, "annotations": []}
{"role": "student", "content": "right", "session_id": 9387, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "So that's how you jump from zeros to factors.", "session_id": 9387, "sequence_id": 57, "annotations": []}
{"role": "student", "content": "im following", "session_id": 9387, "sequence_id": 58, "annotations": []}
{"role": "student", "content": "now as a polynomial?", "session_id": 9387, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "You multiply that mess back out.", "session_id": 9387, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "It's a bit soupy in this case, but that's the process.", "session_id": 9387, "sequence_id": 61, "annotations": []}
{"role": "student", "content": "can you do it", "session_id": 9387, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "Hold on a sec...", "session_id": 9387, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "I'm goofing a term somewhere (in the soup).", "session_id": 9387, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "And that's the final answer.", "session_id": 9387, "sequence_id": 65, "annotations": []}
{"role": "student", "content": "very silly", "session_id": 9387, "sequence_id": 66, "annotations": []}
{"role": "student", "content": "but i follow", "session_id": 9387, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "It's just messy.", "session_id": 9387, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "But setting aside the algebra soup, did that make sense?", "session_id": 9387, "sequence_id": 69, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 9387, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": ":-)", "session_id": 9387, "sequence_id": 71, "annotations": []}
{"role": "student", "content": "last one", "session_id": 9387, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "Okey dokey.", "session_id": 9387, "sequence_id": 73, "annotations": []}
{"role": "student", "content": "how do you prove that 1+2i is a zero of x^3-3x^2+7x-5", "session_id": 9387, "sequence_id": 74, "annotations": []}
{"role": "volunteer", "content": "The short answer is that you plug it into the polynomial and you will get 0 as the result.", "session_id": 9387, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "This, again, after many bowls of algebra soup.", "session_id": 9387, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "Like that...", "session_id": 9387, "sequence_id": 77, "annotations": []}
{"role": "student", "content": "a whole lot of", "session_id": 9387, "sequence_id": 78, "annotations": []}
{"role": "student", "content": "distributing", "session_id": 9387, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "Yup.", "session_id": 9387, "sequence_id": 80, "annotations": []}
{"role": "student", "content": "how lovely", "session_id": 9387, "sequence_id": 81, "annotations": []}
{"role": "volunteer", "content": "Yes - and not very helpful.", "session_id": 9387, "sequence_id": 82, "annotations": []}
{"role": "volunteer", "content": "These problems confuse the learner over needlessly complicated algebra.", "session_id": 9387, "sequence_id": 83, "annotations": []}
{"role": "student", "content": "whats the final answer supposed to be", "session_id": 9387, "sequence_id": 84, "annotations": []}
{"role": "volunteer", "content": "End result is that the student gets frustrated and doesn't learn the main concept they were trying to teach in the beginning.", "session_id": 9387, "sequence_id": 85, "annotations": []}
{"role": "volunteer", "content": "The final answer = 0", "session_id": 9387, "sequence_id": 86, "annotations": []}
{"role": "student", "content": "is there another way", "session_id": 9387, "sequence_id": 87, "annotations": []}
{"role": "volunteer", "content": "Not that I know of.", "session_id": 9387, "sequence_id": 88, "annotations": []}
{"role": "volunteer", "content": "Let me cheat a bit and make some easy soup bowls?", "session_id": 9387, "sequence_id": 89, "annotations": []}
{"role": "student", "content": "yes please lol", "session_id": 9387, "sequence_id": 90, "annotations": []}
{"role": "volunteer", "content": "That cubed term is equal to that", "session_id": 9387, "sequence_id": 91, "annotations": []}
{"role": "volunteer", "content": "Now let me do the squared term", "session_id": 9387, "sequence_id": 92, "annotations": []}
{"role": "volunteer", "content": "Okay so far?", "session_id": 9387, "sequence_id": 93, "annotations": []}
{"role": "student", "content": "ye", "session_id": 9387, "sequence_id": 94, "annotations": []}
{"role": "student", "content": "kk", "session_id": 9387, "sequence_id": 95, "annotations": []}
{"role": "volunteer", "content": "So there it is, covered in a minimum amount of soup bowls.", "session_id": 9387, "sequence_id": 96, "annotations": []}
{"role": "student", "content": "making our brains hurt", "session_id": 9387, "sequence_id": 97, "annotations": []}
{"role": "volunteer", "content": "I have to cheat like that, but if I don't then we get lost in the algebra and miss the main points.", "session_id": 9387, "sequence_id": 98, "annotations": []}
{"role": "volunteer", "content": "Yup, my head exploded 10 minutes ago. :-)", "session_id": 9387, "sequence_id": 99, "annotations": []}
{"role": "student", "content": "lol", "session_id": 9387, "sequence_id": 100, "annotations": []}
{"role": "student", "content": "alright i should be good", "session_id": 9387, "sequence_id": 101, "annotations": []}
{"role": "volunteer", "content": "Cool beans.", "session_id": 9387, "sequence_id": 102, "annotations": []}
{"role": "volunteer", "content": "So best of luck to you and have fun with that fancy R !!!", "session_id": 9387, "sequence_id": 103, "annotations": []}
{"role": "student", "content": "lol tanks", "session_id": 9387, "sequence_id": 104, "annotations": []}
{"role": "volunteer", "content": "hi", "session_id": 9467, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "Hi", "session_id": 9467, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "I need help with solving the zeros for all these 4 questions please", "session_id": 9467, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "I will be glad to help.", "session_id": 9467, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "the first question needs factoring.", "session_id": 9467, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "there is a 2 at the beginning.", "session_id": 9467, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "that makes it a little harder to factor.", "session_id": 9467, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "I tried doing the borrow payback method but I forgot how to do the rest of the steps", "session_id": 9467, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "I like the AC method.", "session_id": 9467, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "multiply the 2 that is A and -2  that is C.", "session_id": 9467, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "we get negative four", "session_id": 9467, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "mhm", "session_id": 9467, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "isn't that similar to the borrow payback method?", "session_id": 9467, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "i think so.", "session_id": 9467, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "our teacher didn't teach us the ac method he teached us the borrow payback method", "session_id": 9467, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "I am not familiar with that method.", "session_id": 9467, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "we could try the guess and check method.", "session_id": 9467, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "do you wanna search the borrow payback method?", "session_id": 9467, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "or we could work on one that doesn't have that first number?", "session_id": 9467, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "i can do that while we start on the question next to it.", "session_id": 9467, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "We need all of the terms on the same side.", "session_id": 9467, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "I will.  let's work on this question first.", "session_id": 9467, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "ok", "session_id": 9467, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "wait here are the steps to borrow payback.", "session_id": 9467, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "Steps for Borrow/Payback\nMultiply the \u201ca\u201d value into the \u201cc\u201d value. \nFactor the resulting trinomial (Trinomial Factoring) \nPayback the \u201ca\u201d to both binomials in the answer. (In front of x) \nDivide out the GCF from one OR both factors.\nCheck your answer using the box method.", "session_id": 9467, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "multiply a by c", "session_id": 9467, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "that's what I said, but in different terms.", "session_id": 9467, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "so are they both the same?", "session_id": 9467, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 9467, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "ok", "session_id": 9467, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "you did that step.", "session_id": 9467, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "ok", "session_id": 9467, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "next step?", "session_id": 9467, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "I did ( X + 4 ) ( X - 1 )", "session_id": 9467, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "then what?", "session_id": 9467, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "good", "session_id": 9467, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "payback", "session_id": 9467, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "how do I payback?", "session_id": 9467, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "divide by 2", "session_id": 9467, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "the a number", "session_id": 9467, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "ok", "session_id": 9467, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "ok so payback by dividing by the \"a\" number", "session_id": 9467, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 9467, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "if there are fractions, we will multiply the denominator.", "session_id": 9467, "sequence_id": 43, "annotations": []}
{"role": "student", "content": "ok", "session_id": 9467, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "so 2 x 2 = 4?", "session_id": 9467, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "the first factor is ok.", "session_id": 9467, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "we divided 4 by 2.", "session_id": 9467, "sequence_id": 47, "annotations": []}
{"role": "student", "content": "yes", "session_id": 9467, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "1 divided by 2 is 1/2", "session_id": 9467, "sequence_id": 49, "annotations": []}
{"role": "student", "content": "ok", "session_id": 9467, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "we need to multiply that factor by 2.", "session_id": 9467, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "-1 divided by 2 is -1/2", "session_id": 9467, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 9467, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "what will that become?", "session_id": 9467, "sequence_id": 54, "annotations": []}
{"role": "student", "content": "2x - 1?", "session_id": 9467, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "yes!", "session_id": 9467, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "it is factored.", "session_id": 9467, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "to find the zeros, we set each factor equal to zero.", "session_id": 9467, "sequence_id": 58, "annotations": []}
{"role": "student", "content": "so ( x + 2 ) = 0 and ( 2x - 1 ) = 0?", "session_id": 9467, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "correct", "session_id": 9467, "sequence_id": 60, "annotations": []}
{"role": "student", "content": "ok now what?", "session_id": 9467, "sequence_id": 61, "annotations": []}
{"role": "student", "content": "oh wait do we do inverse operations?", "session_id": 9467, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "very good", "session_id": 9467, "sequence_id": 63, "annotations": []}
{"role": "student", "content": "so x = -2 and x = 1?", "session_id": 9467, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "let's look at the second part.", "session_id": 9467, "sequence_id": 65, "annotations": []}
{"role": "student", "content": "ok", "session_id": 9467, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "added one", "session_id": 9467, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "that gives us 2x = 1.", "session_id": 9467, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "what do we do about the 2?", "session_id": 9467, "sequence_id": 69, "annotations": []}
{"role": "student", "content": "divide?", "session_id": 9467, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "yes.", "session_id": 9467, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "that is the inverse of multiply", "session_id": 9467, "sequence_id": 72, "annotations": []}
{"role": "student", "content": "so divide both sides by 2 then what?", "session_id": 9467, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "what does the pink writing show?", "session_id": 9467, "sequence_id": 74, "annotations": []}
{"role": "student", "content": "2x - 1 being divided by 2?", "session_id": 9467, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "can you see the black writing?", "session_id": 9467, "sequence_id": 76, "annotations": []}
{"role": "student", "content": "oh wait it makes sense now", "session_id": 9467, "sequence_id": 77, "annotations": []}
{"role": "student", "content": "x = 1/2", "session_id": 9467, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 9467, "sequence_id": 79, "annotations": []}
{"role": "student", "content": "x = -2 and x =1/2", "session_id": 9467, "sequence_id": 80, "annotations": []}
{"role": "student", "content": "ok next question and can we also hurry this up a bit pls?", "session_id": 9467, "sequence_id": 81, "annotations": []}
{"role": "volunteer", "content": "do you know about the quadratic formula?", "session_id": 9467, "sequence_id": 82, "annotations": []}
{"role": "volunteer", "content": "we will need it to solve the questions on the right side.", "session_id": 9467, "sequence_id": 83, "annotations": []}
{"role": "volunteer", "content": "we also need the equation to be set equal to zero.", "session_id": 9467, "sequence_id": 84, "annotations": []}
{"role": "student", "content": "or can we simply just change 3x + 6 to -3x - 6?", "session_id": 9467, "sequence_id": 85, "annotations": []}
{"role": "volunteer", "content": "sorry, no", "session_id": 9467, "sequence_id": 86, "annotations": []}
{"role": "volunteer", "content": "we can subtract 3x from both sides.", "session_id": 9467, "sequence_id": 87, "annotations": []}
{"role": "volunteer", "content": "we can subtract 6 from both sides.", "session_id": 9467, "sequence_id": 88, "annotations": []}
{"role": "volunteer", "content": "that is the inverse.", "session_id": 9467, "sequence_id": 89, "annotations": []}
{"role": "student", "content": "yes I mean that", "session_id": 9467, "sequence_id": 90, "annotations": []}
{"role": "volunteer", "content": "good", "session_id": 9467, "sequence_id": 91, "annotations": []}
{"role": "student", "content": "its much more simpler and easier than the quadratic formula", "session_id": 9467, "sequence_id": 92, "annotations": []}
{"role": "volunteer", "content": "we will still need the quadratic formula.", "session_id": 9467, "sequence_id": 93, "annotations": []}
{"role": "volunteer", "content": "or do you have a different way?", "session_id": 9467, "sequence_id": 94, "annotations": []}
{"role": "volunteer", "content": "some equations cannot be factored.", "session_id": 9467, "sequence_id": 95, "annotations": []}
{"role": "student", "content": "hold on let get the equation real quick", "session_id": 9467, "sequence_id": 96, "annotations": []}
{"role": "volunteer", "content": "I wrote it on the board at the top right.", "session_id": 9467, "sequence_id": 97, "annotations": []}
{"role": "volunteer", "content": "I wrote the quadratic formula.", "session_id": 9467, "sequence_id": 98, "annotations": []}
{"role": "student", "content": "would the equation be -3x^2 - 14x + 15 after doing inverse operations?", "session_id": 9467, "sequence_id": 99, "annotations": []}
{"role": "student", "content": "oh woops", "session_id": 9467, "sequence_id": 100, "annotations": []}
{"role": "student", "content": "sorry", "session_id": 9467, "sequence_id": 101, "annotations": []}
{"role": "volunteer", "content": "I was looking at the equation at the top on the right.", "session_id": 9467, "sequence_id": 102, "annotations": []}
{"role": "student", "content": "would the equation be x^2 + 11x + 9?", "session_id": 9467, "sequence_id": 103, "annotations": []}
{"role": "student", "content": "sorry - 11x", "session_id": 9467, "sequence_id": 104, "annotations": []}
{"role": "volunteer", "content": "kk", "session_id": 9467, "sequence_id": 105, "annotations": []}
{"role": "volunteer", "content": "it would help for us to write what a, b, and c values are.", "session_id": 9467, "sequence_id": 106, "annotations": []}
{"role": "student", "content": "can we factor this by finding numbers that multiply to 9 and add to -11?", "session_id": 9467, "sequence_id": 107, "annotations": []}
{"role": "volunteer", "content": "I don't think so.", "session_id": 9467, "sequence_id": 108, "annotations": []}
{"role": "volunteer", "content": "not all equations can be factored.", "session_id": 9467, "sequence_id": 109, "annotations": []}
{"role": "volunteer", "content": "that's why we have the quadratic formula.", "session_id": 9467, "sequence_id": 110, "annotations": []}
{"role": "volunteer", "content": "there is one way called \"completing the square\".  it is a lot of math steps.", "session_id": 9467, "sequence_id": 111, "annotations": []}
{"role": "student", "content": "you mean DOTS?", "session_id": 9467, "sequence_id": 112, "annotations": []}
{"role": "volunteer", "content": "what is DOTS?", "session_id": 9467, "sequence_id": 113, "annotations": []}
{"role": "student", "content": "Difference Of The Squares?", "session_id": 9467, "sequence_id": 114, "annotations": []}
{"role": "volunteer", "content": "no", "session_id": 9467, "sequence_id": 115, "annotations": []}
{"role": "volunteer", "content": "that is for binomials", "session_id": 9467, "sequence_id": 116, "annotations": []}
{"role": "student", "content": "oh ok", "session_id": 9467, "sequence_id": 117, "annotations": []}
{"role": "volunteer", "content": "not trianomials.", "session_id": 9467, "sequence_id": 118, "annotations": []}
{"role": "student", "content": "yeah right", "session_id": 9467, "sequence_id": 119, "annotations": []}
{"role": "volunteer", "content": "I plugged in all of the values into the quadratic formula.", "session_id": 9467, "sequence_id": 120, "annotations": []}
{"role": "student", "content": "I kinda forgot how to plug in the quadratic formula into the calculator its been a long time since I last done it", "session_id": 9467, "sequence_id": 121, "annotations": []}
{"role": "student", "content": "how do you do it?", "session_id": 9467, "sequence_id": 122, "annotations": []}
{"role": "volunteer", "content": "It takes a lot of parentheses.", "session_id": 9467, "sequence_id": 123, "annotations": []}
{"role": "volunteer", "content": "I choose to do the math steps.", "session_id": 9467, "sequence_id": 124, "annotations": []}
{"role": "volunteer", "content": "what is (-11) squared?", "session_id": 9467, "sequence_id": 125, "annotations": []}
{"role": "student", "content": "121?", "session_id": 9467, "sequence_id": 126, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 9467, "sequence_id": 127, "annotations": []}
{"role": "volunteer", "content": "what is 4 times 1 times 9?", "session_id": 9467, "sequence_id": 128, "annotations": []}
{"role": "student", "content": "36?", "session_id": 9467, "sequence_id": 129, "annotations": []}
{"role": "volunteer", "content": "right", "session_id": 9467, "sequence_id": 130, "annotations": []}
{"role": "volunteer", "content": "what should the number under the radical sign be?", "session_id": 9467, "sequence_id": 131, "annotations": []}
{"role": "volunteer", "content": "121-36", "session_id": 9467, "sequence_id": 132, "annotations": []}
{"role": "student", "content": "85?", "session_id": 9467, "sequence_id": 133, "annotations": []}
{"role": "volunteer", "content": "we are done.", "session_id": 9467, "sequence_id": 134, "annotations": []}
{"role": "volunteer", "content": "that's our answer!", "session_id": 9467, "sequence_id": 135, "annotations": []}
{"role": "student", "content": "you sure we solved the zeros for this question?", "session_id": 9467, "sequence_id": 136, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 9467, "sequence_id": 137, "annotations": []}
{"role": "student", "content": "ok", "session_id": 9467, "sequence_id": 138, "annotations": []}
{"role": "student", "content": "next one", "session_id": 9467, "sequence_id": 139, "annotations": []}
{"role": "student", "content": "can we also speed this up a little bit because I have to go soon", "session_id": 9467, "sequence_id": 140, "annotations": []}
{"role": "volunteer", "content": "are we working on the left one or the right one?", "session_id": 9467, "sequence_id": 141, "annotations": []}
{"role": "student", "content": "the bottom left then the bottom right", "session_id": 9467, "sequence_id": 142, "annotations": []}
{"role": "volunteer", "content": "the one on the left can be factored.", "session_id": 9467, "sequence_id": 143, "annotations": []}
{"role": "volunteer", "content": "we need it set equal to zero first.", "session_id": 9467, "sequence_id": 144, "annotations": []}
{"role": "student", "content": "ok", "session_id": 9467, "sequence_id": 145, "annotations": []}
{"role": "student", "content": "so we need to do inverse operations with the right side?", "session_id": 9467, "sequence_id": 146, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 9467, "sequence_id": 147, "annotations": []}
{"role": "student", "content": "is it 3x^2 - 2x - 8?", "session_id": 9467, "sequence_id": 148, "annotations": []}
{"role": "volunteer", "content": "very good", "session_id": 9467, "sequence_id": 149, "annotations": []}
{"role": "volunteer", "content": "now borrow", "session_id": 9467, "sequence_id": 150, "annotations": []}
{"role": "volunteer", "content": "where did i get -24?", "session_id": 9467, "sequence_id": 151, "annotations": []}
{"role": "student", "content": "3 x -8?", "session_id": 9467, "sequence_id": 152, "annotations": []}
{"role": "volunteer", "content": "good", "session_id": 9467, "sequence_id": 153, "annotations": []}
{"role": "student", "content": "So (X + 4) And (X - 6)?", "session_id": 9467, "sequence_id": 154, "annotations": []}
{"role": "volunteer", "content": "yay to go!", "session_id": 9467, "sequence_id": 155, "annotations": []}
{"role": "volunteer", "content": "now payback.", "session_id": 9467, "sequence_id": 156, "annotations": []}
{"role": "volunteer", "content": "what do we divide by?", "session_id": 9467, "sequence_id": 157, "annotations": []}
{"role": "student", "content": "the a value which is 3?", "session_id": 9467, "sequence_id": 158, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 9467, "sequence_id": 159, "annotations": []}
{"role": "student", "content": "so we are gonna get 2 fractions?", "session_id": 9467, "sequence_id": 160, "annotations": []}
{"role": "volunteer", "content": "only 1 for this question", "session_id": 9467, "sequence_id": 161, "annotations": []}
{"role": "student", "content": "oh yeah right because 6 is divisible by 3", "session_id": 9467, "sequence_id": 162, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 9467, "sequence_id": 163, "annotations": []}
{"role": "volunteer", "content": "do the inverse for the other one.", "session_id": 9467, "sequence_id": 164, "annotations": []}
{"role": "student", "content": "so wait we got 4/3 then the other one is 2?", "session_id": 9467, "sequence_id": 165, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 9467, "sequence_id": 166, "annotations": []}
{"role": "volunteer", "content": "what about the signs/", "session_id": 9467, "sequence_id": 167, "annotations": []}
{"role": "student", "content": "inverse ops again?", "session_id": 9467, "sequence_id": 168, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 9467, "sequence_id": 169, "annotations": []}
{"role": "student", "content": "so x = -4/3 and x = 2?", "session_id": 9467, "sequence_id": 170, "annotations": []}
{"role": "volunteer", "content": "very good work", "session_id": 9467, "sequence_id": 171, "annotations": []}
{"role": "student", "content": "ok next and last question", "session_id": 9467, "sequence_id": 172, "annotations": []}
{"role": "volunteer", "content": "the last question will need the quadratic formula.", "session_id": 9467, "sequence_id": 173, "annotations": []}
{"role": "volunteer", "content": "what else do we need?", "session_id": 9467, "sequence_id": 174, "annotations": []}
{"role": "volunteer", "content": "is the equation set equal to zero?", "session_id": 9467, "sequence_id": 175, "annotations": []}
{"role": "volunteer", "content": "if not, we have to do some work.", "session_id": 9467, "sequence_id": 176, "annotations": []}
{"role": "student", "content": "so equation is not zero so we do inverse operations", "session_id": 9467, "sequence_id": 177, "annotations": []}
{"role": "volunteer", "content": "correct", "session_id": 9467, "sequence_id": 178, "annotations": []}
{"role": "student", "content": "so would it be 8x^2 - 44x - 40?", "session_id": 9467, "sequence_id": 179, "annotations": []}
{"role": "student", "content": "oh wait sorry + 40", "session_id": 9467, "sequence_id": 180, "annotations": []}
{"role": "student", "content": "I mean", "session_id": 9467, "sequence_id": 181, "annotations": []}
{"role": "volunteer", "content": "those numbers are really big.", "session_id": 9467, "sequence_id": 182, "annotations": []}
{"role": "volunteer", "content": "is there a GCF?", "session_id": 9467, "sequence_id": 183, "annotations": []}
{"role": "volunteer", "content": "greatest common factor", "session_id": 9467, "sequence_id": 184, "annotations": []}
{"role": "student", "content": "Is it 4?", "session_id": 9467, "sequence_id": 185, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 9467, "sequence_id": 186, "annotations": []}
{"role": "student", "content": "so would it be 2x^2 - 11x + 10?", "session_id": 9467, "sequence_id": 187, "annotations": []}
{"role": "volunteer", "content": "awesome work!", "session_id": 9467, "sequence_id": 188, "annotations": []}
{"role": "student", "content": "now what?", "session_id": 9467, "sequence_id": 189, "annotations": []}
{"role": "volunteer", "content": "we need a, b, and c for the quadratic formula.", "session_id": 9467, "sequence_id": 190, "annotations": []}
{"role": "student", "content": "So would it be -(-11) +- (-11)^2 - 4(2)(10)/2(2)?", "session_id": 9467, "sequence_id": 191, "annotations": []}
{"role": "volunteer", "content": "great!", "session_id": 9467, "sequence_id": 192, "annotations": []}
{"role": "student", "content": "so how do we plug in this in?", "session_id": 9467, "sequence_id": 193, "annotations": []}
{"role": "volunteer", "content": "what is -(-11)?", "session_id": 9467, "sequence_id": 194, "annotations": []}
{"role": "student", "content": "11?", "session_id": 9467, "sequence_id": 195, "annotations": []}
{"role": "volunteer", "content": "what is (-11) squared?", "session_id": 9467, "sequence_id": 196, "annotations": []}
{"role": "student", "content": "-121?", "session_id": 9467, "sequence_id": 197, "annotations": []}
{"role": "volunteer", "content": "(-11)(-11) = =121??", "session_id": 9467, "sequence_id": 198, "annotations": []}
{"role": "volunteer", "content": "i think + 121", "session_id": 9467, "sequence_id": 199, "annotations": []}
{"role": "student", "content": "oh yeah", "session_id": 9467, "sequence_id": 200, "annotations": []}
{"role": "volunteer", "content": "4 times 2 times 10", "session_id": 9467, "sequence_id": 201, "annotations": []}
{"role": "student", "content": "80?", "session_id": 9467, "sequence_id": 202, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 9467, "sequence_id": 203, "annotations": []}
{"role": "volunteer", "content": "we walk through the quadratic formula using order of operations.", "session_id": 9467, "sequence_id": 204, "annotations": []}
{"role": "student", "content": "ok", "session_id": 9467, "sequence_id": 205, "annotations": []}
{"role": "volunteer", "content": "almost done", "session_id": 9467, "sequence_id": 206, "annotations": []}
{"role": "volunteer", "content": "can you see what we have on the board?", "session_id": 9467, "sequence_id": 207, "annotations": []}
{"role": "student", "content": "yes", "session_id": 9467, "sequence_id": 208, "annotations": []}
{"role": "volunteer", "content": "what is the next step?", "session_id": 9467, "sequence_id": 209, "annotations": []}
{"role": "student", "content": "subtract 121 by 80?", "session_id": 9467, "sequence_id": 210, "annotations": []}
{"role": "volunteer", "content": "good", "session_id": 9467, "sequence_id": 211, "annotations": []}
{"role": "student", "content": "41?", "session_id": 9467, "sequence_id": 212, "annotations": []}
{"role": "volunteer", "content": "yes!", "session_id": 9467, "sequence_id": 213, "annotations": []}
{"role": "volunteer", "content": "all done!", "session_id": 9467, "sequence_id": 214, "annotations": []}
{"role": "student", "content": "x = 11 +- square root 41/4?", "session_id": 9467, "sequence_id": 215, "annotations": []}
{"role": "volunteer", "content": "Yay!", "session_id": 9467, "sequence_id": 216, "annotations": []}
{"role": "student", "content": "ok cya", "session_id": 9467, "sequence_id": 217, "annotations": []}
{"role": "volunteer", "content": "Hi need help with anything?", "session_id": 9414, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "yes i have mid terms tmmr", "session_id": 9414, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "ok anything you need to review", "session_id": 9414, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "yes my teacher told", "session_id": 9414, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "me i should review", "session_id": 9414, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "cool cool so what topics do you guys have", "session_id": 9414, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "we can do some practice based on it", "session_id": 9414, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "Midterm Review Packet\n\nWhat topics will be on the Midterm?\nUNIT 1\nUNIT 2\nUNIT 3\n1. Constructions\nCircles (radius, diameter)\nPerpendicular Bisectors\nAngle Bisectors\nInscribed Polygons (Hexagons, Equilateral Triangles. Squares)\nUsing constructions to make statements about a figure\n\n2. Transformations\nTranslations\nReflections\nRotations\nPreimage vs. Image\nWriting a sequence of rigid transformations\n\n3. Angle Relationships\nVertical Angles\nLinear Pair\nAlternate Interior\nAlternate Exterior\nCorresponding\nSame Side Interior\nSame Side exterior\n1. Congruent Figures\nUsing rigid transformations to determine if two figures are congruent\n\n2. Triangle Congruence\nCongruence Postulates\nSSS\nSAS\nASA\nAAS\nHL\n3. Proofs\nTriangle Proofs\nCPCTC Proofs\nQuadrilateral\n\n4. Trapezoid\nParallelogram\nSquare\nRectangle\nRhombus\n1. Dilations\nDilating Figures \nDetermining Scale Factor\nComparing Measures \n\n2. Similarity\nUsing rigid transformations and dilations to determine if two figures are congruent\nSimilarity Postulates\nAA~\nSAS~\nSSS~\nSimilarity Proofs\n\n\n**NOTE: I will NOT ask you to perform constructions with a compass and straightedge.\n\t   Instead, I will ask you questions about HOW to construct or ABOUT measures from a construction.\n\nWhat materials should I use to study? How else should I study?\nReview classworks from units 1-3\nCheck answer keys on google classroom for all classworks \nDo more problems for each delta math skill that has been assigned\nComplete the OPTIONAL delta math review assignments (these are not due for a grade - they are OPTIONAL for your extra practice!)\nWrite definitions or explanations for each topic listed above to ensure that you understand the concept", "session_id": 9414, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "this is what she said", "session_id": 9414, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "ok tell me which one you least understand", "session_id": 9414, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "the last unit", "session_id": 9414, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "Similarity?", "session_id": 9414, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "yes", "session_id": 9414, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "alright lemme put a practice problem from the basics", "session_id": 9414, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "ok let's say these two are similar", "session_id": 9414, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "it means that their anges are the same but the sides are different", "session_id": 9414, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "i see", "session_id": 9414, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "i can try to show you what she told me to do", "session_id": 9414, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "like she gave us a packet", "session_id": 9414, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "ya that would work", "session_id": 9414, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "wait finish what your were doing", "session_id": 9414, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "if you have a photo you can upload that", "session_id": 9414, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "ok ok", "session_id": 9414, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "alright so basically the two sides are different right?", "session_id": 9414, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "yes", "session_id": 9414, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "wait quick quesiton", "session_id": 9414, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "are you guys doing proofs?", "session_id": 9414, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "yes", "session_id": 9414, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "oh ok ok so then you already know the basics nvm nvm", "session_id": 9414, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "ya lets do your problem first", "session_id": 9414, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "ok so for #9, can you label the \"graph\" I made first", "session_id": 9414, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "sure", "session_id": 9414, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "with the heights and shadow length?", "session_id": 9414, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "ok so the x is in the wrong location", "session_id": 9414, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "it's the height of the tree not the", "session_id": 9414, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "side of the tree", "session_id": 9414, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "ya right there", "session_id": 9414, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "sorry", "session_id": 9414, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "no it's ok mistakes are good", "session_id": 9414, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "ok so next we have to do the fraction matching", "session_id": 9414, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "ya then we gotta cross multiply to find the x", "session_id": 9414, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "ok good", "session_id": 9414, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "so that would be your tree height", "session_id": 9414, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "so we have to do the same for 10 can you make the graph and try that?", "session_id": 9414, "sequence_id": 43, "annotations": []}
{"role": "student", "content": "13.8ft", "session_id": 9414, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "yup that's right", "session_id": 9414, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "sorry im taking long", "session_id": 9414, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "no it's ok", "session_id": 9414, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "knowing the concept is the most important", "session_id": 9414, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "olivia john", "session_id": 9414, "sequence_id": 49, "annotations": [{"pii_type": "PERSON", "surrogate": "olivia john", "start": 0, "end": 11}]}
{"role": "volunteer", "content": "Olivia!", "session_id": 9414, "sequence_id": 50, "annotations": [{"pii_type": "PERSON", "surrogate": "Olivia", "start": 0, "end": 6}]}
{"role": "volunteer", "content": "do you want to do the proof now?", "session_id": 9414, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "yess", "session_id": 9414, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "ya good job", "session_id": 9414, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "the full name is vertical angle theorem though", "session_id": 9414, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "I don't know if your teach wants the full name or not", "session_id": 9414, "sequence_id": 55, "annotations": []}
{"role": "student", "content": "last time i did the test she gave me fullcreidit", "session_id": 9414, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "ok then it's fine", "session_id": 9414, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "yup good job", "session_id": 9414, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "any other problems you want to try", "session_id": 9414, "sequence_id": 59, "annotations": []}
{"role": "student", "content": "yess", "session_id": 9414, "sequence_id": 60, "annotations": []}
{"role": "student", "content": "are you a student??", "session_id": 9414, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "ya!", "session_id": 9414, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "we're both students then", "session_id": 9414, "sequence_id": 63, "annotations": []}
{"role": "student", "content": "ayeeee", "session_id": 9414, "sequence_id": 64, "annotations": []}
{"role": "student", "content": "im scared for the midterms", "session_id": 9414, "sequence_id": 65, "annotations": []}
{"role": "student", "content": "do you have any advice", "session_id": 9414, "sequence_id": 66, "annotations": []}
{"role": "student", "content": "i get to use a notecard does yourschool let you", "session_id": 9414, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "ok so for midterms (I just took one)", "session_id": 9414, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "nope!", "session_id": 9414, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "but for midterms you have to make sure to keep your timing right", "session_id": 9414, "sequence_id": 70, "annotations": []}
{"role": "student", "content": "wdym", "session_id": 9414, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "because I real issue during exams is not being able to finish the test in tiime", "session_id": 9414, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "so what you should do is have a good speed during the test to leave some time to check answers", "session_id": 9414, "sequence_id": 73, "annotations": []}
{"role": "student", "content": "do you want me to fail", "session_id": 9414, "sequence_id": 74, "annotations": []}
{"role": "volunteer", "content": "?", "session_id": 9414, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "no", "session_id": 9414, "sequence_id": 76, "annotations": []}
{"role": "student", "content": "so i rush\ud83d\ude2d\ud83d\ude2d", "session_id": 9414, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "no don't rush what I mean is that make sure to keep pace", "session_id": 9414, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "like don't spend too much time on one problem", "session_id": 9414, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "skip it for now and get back to it later", "session_id": 9414, "sequence_id": 80, "annotations": []}
{"role": "student", "content": "lol i do this a lot", "session_id": 9414, "sequence_id": 81, "annotations": []}
{"role": "volunteer", "content": "try to do the ones you know first so you have time for the others", "session_id": 9414, "sequence_id": 82, "annotations": []}
{"role": "student", "content": "okk", "session_id": 9414, "sequence_id": 83, "annotations": []}
{"role": "student", "content": "do you know what i should add on my notecard", "session_id": 9414, "sequence_id": 84, "annotations": []}
{"role": "volunteer", "content": "and also write the thermos on your paper", "session_id": 9414, "sequence_id": 85, "annotations": []}
{"role": "student", "content": "its a small notecard", "session_id": 9414, "sequence_id": 86, "annotations": []}
{"role": "student", "content": "okk", "session_id": 9414, "sequence_id": 87, "annotations": []}
{"role": "volunteer", "content": "the theorems unless you remember every one", "session_id": 9414, "sequence_id": 88, "annotations": []}
{"role": "student", "content": "no i dont i will make sure ot add that", "session_id": 9414, "sequence_id": 89, "annotations": []}
{"role": "volunteer", "content": "maybe the properties of the quadrilateral", "session_id": 9414, "sequence_id": 90, "annotations": []}
{"role": "student", "content": "i have a 97 in that class", "session_id": 9414, "sequence_id": 91, "annotations": []}
{"role": "volunteer", "content": "oh wowww", "session_id": 9414, "sequence_id": 92, "annotations": []}
{"role": "volunteer", "content": "that's my dreams in math", "session_id": 9414, "sequence_id": 93, "annotations": []}
{"role": "volunteer", "content": "math is so hard now :(", "session_id": 9414, "sequence_id": 94, "annotations": []}
{"role": "student", "content": "what classes are you taking", "session_id": 9414, "sequence_id": 95, "annotations": []}
{"role": "student", "content": "im taking precalcuas im scared for next semester", "session_id": 9414, "sequence_id": 96, "annotations": []}
{"role": "volunteer", "content": "sorry I can't say but I've taken precalc before", "session_id": 9414, "sequence_id": 97, "annotations": []}
{"role": "student", "content": "why", "session_id": 9414, "sequence_id": 98, "annotations": []}
{"role": "volunteer", "content": "and you just need to have a good structure", "session_id": 9414, "sequence_id": 99, "annotations": []}
{"role": "volunteer", "content": "part of the rules", "session_id": 9414, "sequence_id": 100, "annotations": []}
{"role": "student", "content": "huh", "session_id": 9414, "sequence_id": 101, "annotations": []}
{"role": "volunteer", "content": "if you understand precalc well the next level is going to be easier then if you didn't", "session_id": 9414, "sequence_id": 102, "annotations": []}
{"role": "volunteer", "content": "a lot of the next level is based on precalc basis", "session_id": 9414, "sequence_id": 103, "annotations": []}
{"role": "student", "content": "Olivia", "session_id": 9414, "sequence_id": 104, "annotations": [{"pii_type": "PERSON", "surrogate": "Olivia", "start": 0, "end": 6}]}
{"role": "volunteer", "content": "if you're doing good now, then you will do well next semester too trust", "session_id": 9414, "sequence_id": 105, "annotations": []}
{"role": "volunteer", "content": "it's all about the structure", "session_id": 9414, "sequence_id": 106, "annotations": []}
{"role": "student", "content": "no the mid term is ging to be hard watch when my brain forgets everything", "session_id": 9414, "sequence_id": 107, "annotations": []}
{"role": "volunteer", "content": "nooo you got this just practice with a lot of problems and don't just rely on the notecard", "session_id": 9414, "sequence_id": 108, "annotations": []}
{"role": "volunteer", "content": "practice creates muscle memory", "session_id": 9414, "sequence_id": 109, "annotations": []}
{"role": "student", "content": "thank you Olivia have a good reast of your night", "session_id": 9414, "sequence_id": 110, "annotations": [{"pii_type": "PERSON", "surrogate": "Olivia", "start": 10, "end": 16}]}
{"role": "volunteer", "content": "yup u too!", "session_id": 9414, "sequence_id": 111, "annotations": []}
{"role": "volunteer", "content": "good luck and do more pratice", "session_id": 9414, "sequence_id": 112, "annotations": []}
{"role": "student", "content": "Riverside", "session_id": 9414, "sequence_id": 113, "annotations": [{"pii_type": "LOCATION", "surrogate": "Riverside", "start": 0, "end": 9}]}
{"role": "volunteer", "content": "Liam!", "session_id": 9414, "sequence_id": 114, "annotations": [{"pii_type": "PERSON", "surrogate": "Liam", "start": 0, "end": 4}]}
{"role": "volunteer", "content": "hi need any help?", "session_id": 9417, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "Yeah, I need help", "session_id": 9417, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "Geometry", "session_id": 9417, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "ofc do you have the question you need help with?", "session_id": 9417, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "Yes, I share my screen.", "session_id": 9417, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "I need help", "session_id": 9417, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "I don't know.", "session_id": 9417, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "I just", "session_id": 9417, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "OK, hi, can you hear me?", "session_id": 9417, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 9417, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "OK, cool. So which question, is it a matching one?", "session_id": 9417, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 9417, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "OK, which question do you want to start on?", "session_id": 9417, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "Um", "session_id": 9417, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "and", "session_id": 9417, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "oh my God", "session_id": 9417, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "Sorry. Um", "session_id": 9417, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "we can start off the", "session_id": 9417, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "The tree", "session_id": 9417, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 9417, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "All right, cool. OK, so first we have to find out the correct proportions of similar figures, OK?", "session_id": 9417, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 9417, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "Do you know what similar figures are?", "session_id": 9417, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 9417, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "Alright, so, um, do you know how to solve for the ratio first?", "session_id": 9417, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "Yeah. Don't we have to do cross.", "session_id": 9417, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "multiplication", "session_id": 9417, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "Yeah, OK, so for this one, what are the two numbers that you know from the human?", "session_id": 9417, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "Um, 5.5 ft.", "session_id": 9417, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "Yeah, and the other one is 3, that's the shadow, right?", "session_id": 9417, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 9417, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "And because they're similar, that means the angles from the tree shadow is going to be the same angles. So that means the 3 corresponds to the 24 ft of the shadow. You get that?", "session_id": 9417, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 9417, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "OK, so first we have to find this, let's find if there's any numbers similar to the equation first. So 3 and 24 have to match, but the fraction", "session_id": 9417, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "is on the, yeah, that one, that's perfect.", "session_id": 9417, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "So you see how it's 5.5 over 3.", "session_id": 9417, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "Yeah, cause the height of the weight.", "session_id": 9417, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "Yeah, exactly, yeah, and for the other one, you want 3 equals 24 because they're in the same similarity, correct?", "session_id": 9417, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 9417, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "All right, cool. So", "session_id": 9417, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "now that you know that, which one do you want to do next?", "session_id": 9417, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "Um, you can do this one.", "session_id": 9417, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "So this one's a bit different because the it's", "session_id": 9417, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "um rotated. So if you look at X from", "session_id": 9417, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "the trapezoid ABCD, which one, which side does X correspond to?", "session_id": 9417, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "2", "session_id": 9417, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "from this one to this one or to this to this.", "session_id": 9417, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "Uh, no, like, um, you see how it's uh X and then ABCD.", "session_id": 9417, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "trapezoid", "session_id": 9417, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 9417, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "So you have to known here and two unknown here, one unknown in an one known for", "session_id": 9417, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "uh the other one, FG", "session_id": 9417, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "HJ, right?", "session_id": 9417, "sequence_id": 52, "annotations": []}
{"role": "student", "content": "FG", "session_id": 9417, "sequence_id": 53, "annotations": []}
{"role": "student", "content": "HA, yeah", "session_id": 9417, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "OK. So knowing this", "session_id": 9417, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "what is the side that X is on?", "session_id": 9417, "sequence_id": 56, "annotations": []}
{"role": "student", "content": "Um", "session_id": 9417, "sequence_id": 57, "annotations": []}
{"role": "student", "content": "X is on", "session_id": 9417, "sequence_id": 58, "annotations": []}
{"role": "student", "content": "this side", "session_id": 9417, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "Mm.", "session_id": 9417, "sequence_id": 60, "annotations": []}
{"role": "student", "content": "OK. With this one.", "session_id": 9417, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "No, like what side of the, uh, just looking at the, the, the shape it's on. So FGH", "session_id": 9417, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "F sorry, F", "session_id": 9417, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "F G H J.", "session_id": 9417, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "Like the sides are gonna be corresponding like either FG HJH", "session_id": 9417, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "G or K", "session_id": 9417, "sequence_id": 66, "annotations": []}
{"role": "student", "content": "Oh,", "session_id": 9417, "sequence_id": 67, "annotations": []}
{"role": "student", "content": "G", "session_id": 9417, "sequence_id": 68, "annotations": []}
{"role": "student", "content": "GH", "session_id": 9417, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "Um, close, but it's, um, that one is similar to", "session_id": 9417, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "JF. We're trying to find what X is on, like what's the side it's on.", "session_id": 9417, "sequence_id": 71, "annotations": []}
{"role": "student", "content": "to HG GH.", "session_id": 9417, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "Um, not exactly. It would be FG because X", "session_id": 9417, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "the X symbol is right next to the FG side. Do you get that?", "session_id": 9417, "sequence_id": 74, "annotations": []}
{"role": "student", "content": "FG", "session_id": 9417, "sequence_id": 75, "annotations": []}
{"role": "student", "content": "OK, wait, I thought it said like this corresponding like to the side or something.", "session_id": 9417, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "Oh, no, we're not, sorry, that's from the other, the tree one. I just meant in general, what side is it like?", "session_id": 9417, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "what side is it on? So how, how long is FG?", "session_id": 9417, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "FG would be, would equal to x feet, right?", "session_id": 9417, "sequence_id": 79, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 9417, "sequence_id": 80, "annotations": []}
{"role": "volunteer", "content": "So I meant, sorry, I meant like that. So", "session_id": 9417, "sequence_id": 81, "annotations": []}
{"role": "volunteer", "content": "what about the other one?", "session_id": 9417, "sequence_id": 82, "annotations": []}
{"role": "student", "content": "Like this one", "session_id": 9417, "sequence_id": 83, "annotations": []}
{"role": "volunteer", "content": "A, yeah", "session_id": 9417, "sequence_id": 84, "annotations": []}
{"role": "student", "content": "and this and this and that.", "session_id": 9417, "sequence_id": 85, "annotations": []}
{"role": "volunteer", "content": "Yeah, OK, so", "session_id": 9417, "sequence_id": 86, "annotations": []}
{"role": "volunteer", "content": "um, from the two shapes, what is X the same as on ABCD.", "session_id": 9417, "sequence_id": 87, "annotations": []}
{"role": "volunteer", "content": "Yes", "session_id": 9417, "sequence_id": 88, "annotations": []}
{"role": "student", "content": "From this one to this one or just this one?", "session_id": 9417, "sequence_id": 89, "annotations": []}
{"role": "volunteer", "content": "Yeah, from that one to that because now we know that AD equals 14 and FG is X", "session_id": 9417, "sequence_id": 90, "annotations": []}
{"role": "student", "content": "GHJF", "session_id": 9417, "sequence_id": 91, "annotations": []}
{"role": "volunteer", "content": "Um, not quite. You know how on the tree problem we figured out that 3 is similar to 24.", "session_id": 9417, "sequence_id": 92, "annotations": []}
{"role": "student", "content": "O F G H E.", "session_id": 9417, "sequence_id": 93, "annotations": []}
{"role": "volunteer", "content": "Uh, for this one, it we're only focusing on X and 14. So those two would be similar, because if you rotate it, it would be on the same angle.", "session_id": 9417, "sequence_id": 94, "annotations": []}
{"role": "volunteer", "content": "Yeah.", "session_id": 9417, "sequence_id": 95, "annotations": []}
{"role": "student", "content": "Yeah. Oh, OK.", "session_id": 9417, "sequence_id": 96, "annotations": []}
{"role": "student", "content": "Yeah.", "session_id": 9417, "sequence_id": 97, "annotations": []}
{"role": "volunteer", "content": "OK, so those two are similar, right? So, knowing that,", "session_id": 9417, "sequence_id": 98, "annotations": []}
{"role": "volunteer", "content": "this, for this one, I think we have to find a letter.", "session_id": 9417, "sequence_id": 99, "annotations": []}
{"role": "volunteer", "content": "Are these all the equations on the table, or is there more?", "session_id": 9417, "sequence_id": 100, "annotations": []}
{"role": "student", "content": "The, oh, there's familiar.", "session_id": 9417, "sequence_id": 101, "annotations": []}
{"role": "volunteer", "content": "This", "session_id": 9417, "sequence_id": 102, "annotations": []}
{"role": "student", "content": "Well, let me try to find it away", "session_id": 9417, "sequence_id": 103, "annotations": []}
{"role": "student", "content": "Hm", "session_id": 9417, "sequence_id": 104, "annotations": []}
{"role": "student", "content": "Oh", "session_id": 9417, "sequence_id": 105, "annotations": []}
{"role": "volunteer", "content": "OK, so which one, which sizes did we say were equal X.", "session_id": 9417, "sequence_id": 106, "annotations": []}
{"role": "student", "content": "14 X", "session_id": 9417, "sequence_id": 107, "annotations": []}
{"role": "student", "content": "Wait, what did you say again? What's the question?", "session_id": 9417, "sequence_id": 108, "annotations": []}
{"role": "volunteer", "content": "Oh yeah, which sizes did we say were similar, like the, the letters to 14 and X", "session_id": 9417, "sequence_id": 109, "annotations": []}
{"role": "student", "content": "Um, A, B, and.", "session_id": 9417, "sequence_id": 110, "annotations": []}
{"role": "student", "content": "HG.", "session_id": 9417, "sequence_id": 111, "annotations": []}
{"role": "volunteer", "content": "Yeah, exactly. So we have to find something that's, um, saying that AD is equal to fg.", "session_id": 9417, "sequence_id": 112, "annotations": []}
{"role": "student", "content": "this one", "session_id": 9417, "sequence_id": 113, "annotations": []}
{"role": "volunteer", "content": "Mhm. And you should check your work to make sure the top sides are also the same.", "session_id": 9417, "sequence_id": 114, "annotations": []}
{"role": "student", "content": "Oh, OK", "session_id": 9417, "sequence_id": 115, "annotations": []}
{"role": "volunteer", "content": "Oh, it was right. It's just that like when you put it in, there might be multiple, so you have to make sure.", "session_id": 9417, "sequence_id": 116, "annotations": []}
{"role": "student", "content": "Oh OK", "session_id": 9417, "sequence_id": 117, "annotations": []}
{"role": "volunteer", "content": "it's the same", "session_id": 9417, "sequence_id": 118, "annotations": []}
{"role": "volunteer", "content": "because if you look, it means that 12 and 18 are similar, and that is CD and FJ.", "session_id": 9417, "sequence_id": 119, "annotations": []}
{"role": "student", "content": "OK", "session_id": 9417, "sequence_id": 120, "annotations": []}
{"role": "volunteer", "content": "which is the same as the top one.", "session_id": 9417, "sequence_id": 121, "annotations": []}
{"role": "student", "content": "um", "session_id": 9417, "sequence_id": 122, "annotations": []}
{"role": "volunteer", "content": "Yeah, so we got, you got that one right.", "session_id": 9417, "sequence_id": 123, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 9417, "sequence_id": 124, "annotations": []}
{"role": "volunteer", "content": "All right, which one do you want to do next?", "session_id": 9417, "sequence_id": 125, "annotations": []}
{"role": "student", "content": "Um", "session_id": 9417, "sequence_id": 126, "annotations": []}
{"role": "student", "content": "we can do", "session_id": 9417, "sequence_id": 127, "annotations": []}
{"role": "volunteer", "content": "OK. So what was the 1st, 1st step that I told you to do?", "session_id": 9417, "sequence_id": 128, "annotations": []}
{"role": "student", "content": "to find the primary", "session_id": 9417, "sequence_id": 129, "annotations": []}
{"role": "volunteer", "content": "Mhm. That, that works. So which bottom one does that correspond with?", "session_id": 9417, "sequence_id": 130, "annotations": []}
{"role": "student", "content": "X", "session_id": 9417, "sequence_id": 131, "annotations": []}
{"role": "volunteer", "content": "Perfect. And then, so what, what should that look like on the", "session_id": 9417, "sequence_id": 132, "annotations": []}
{"role": "volunteer", "content": "um", "session_id": 9417, "sequence_id": 133, "annotations": []}
{"role": "volunteer", "content": "ratio thing.", "session_id": 9417, "sequence_id": 134, "annotations": []}
{"role": "student", "content": "The ratio um.", "session_id": 9417, "sequence_id": 135, "annotations": []}
{"role": "volunteer", "content": "The fraction fraction", "session_id": 9417, "sequence_id": 136, "annotations": []}
{"role": "student", "content": "12 over X.", "session_id": 9417, "sequence_id": 137, "annotations": []}
{"role": "volunteer", "content": "Mm, close, cause, because the two shapes are different. We can't put 12 over x, otherwise the ratio wouldn't work.", "session_id": 9417, "sequence_id": 138, "annotations": []}
{"role": "student", "content": "Oh, so we have to put a letter.", "session_id": 9417, "sequence_id": 139, "annotations": []}
{"role": "volunteer", "content": "Oh no, we're not due for this. So for this one, we have to say that because we're similar, 12 would equal X because they're similar, but they're not exactly the same, so they should have the same ratio but not the same.", "session_id": 9417, "sequence_id": 140, "annotations": []}
{"role": "volunteer", "content": "they shouldn't be similar. I mean, they should be similar, sorry. So, if we look at that and then we have to find", "session_id": 9417, "sequence_id": 141, "annotations": []}
{"role": "volunteer", "content": "you know how like the tree one we did 3 equals 24.", "session_id": 9417, "sequence_id": 142, "annotations": []}
{"role": "student", "content": "Mm", "session_id": 9417, "sequence_id": 143, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 9417, "sequence_id": 144, "annotations": []}
{"role": "volunteer", "content": "So I have to do the same thing for the triangle one too.", "session_id": 9417, "sequence_id": 145, "annotations": []}
{"role": "student", "content": "So like", "session_id": 9417, "sequence_id": 146, "annotations": []}
{"role": "student", "content": "12/18", "session_id": 9417, "sequence_id": 147, "annotations": []}
{"role": "volunteer", "content": "um, you have to have the same shapes, the same shapes be equal to each other. So you would use 8.", "session_id": 9417, "sequence_id": 148, "annotations": []}
{"role": "student", "content": "or 8, 72 and 18.", "session_id": 9417, "sequence_id": 149, "annotations": []}
{"role": "volunteer", "content": "No, 72 and 12 because they have to be on the same shape if you're going to go over.", "session_id": 9417, "sequence_id": 150, "annotations": []}
{"role": "student", "content": "Oh, we why?", "session_id": 9417, "sequence_id": 151, "annotations": []}
{"role": "volunteer", "content": "Uh, OK, here, wait, can you go to the drawing board? I'll show you real quick.", "session_id": 9417, "sequence_id": 152, "annotations": []}
{"role": "student", "content": "OK", "session_id": 9417, "sequence_id": 153, "annotations": []}
{"role": "volunteer", "content": "OK.", "session_id": 9417, "sequence_id": 154, "annotations": []}
{"role": "volunteer", "content": "So this is our first one and this is our 2nd 1, right?", "session_id": 9417, "sequence_id": 155, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 9417, "sequence_id": 156, "annotations": []}
{"role": "volunteer", "content": "This one is", "session_id": 9417, "sequence_id": 157, "annotations": []}
{"role": "volunteer", "content": "72 and the other one is 12, I think, yeah.", "session_id": 9417, "sequence_id": 158, "annotations": []}
{"role": "volunteer", "content": "12 and this one's 18", "session_id": 9417, "sequence_id": 159, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 9417, "sequence_id": 160, "annotations": []}
{"role": "volunteer", "content": "80", "session_id": 9417, "sequence_id": 161, "annotations": []}
{"role": "volunteer", "content": "OK, so if we rotated this one.", "session_id": 9417, "sequence_id": 162, "annotations": []}
{"role": "volunteer", "content": "it would look the same as the one right here.", "session_id": 9417, "sequence_id": 163, "annotations": []}
{"role": "volunteer", "content": "So it would look like", "session_id": 9417, "sequence_id": 164, "annotations": []}
{"role": "volunteer", "content": "oh shoot, uh, that one's not bad.", "session_id": 9417, "sequence_id": 165, "annotations": []}
{"role": "volunteer", "content": "Mm", "session_id": 9417, "sequence_id": 166, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 9417, "sequence_id": 167, "annotations": []}
{"role": "volunteer", "content": "It would look like this, correct", "session_id": 9417, "sequence_id": 168, "annotations": []}
{"role": "student", "content": "Mm", "session_id": 9417, "sequence_id": 169, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 9417, "sequence_id": 170, "annotations": []}
{"role": "volunteer", "content": "STC, yeah, cause when you rotate it. So this one over here", "session_id": 9417, "sequence_id": 171, "annotations": []}
{"role": "volunteer", "content": "would be the similar to this one and this one would be similar to this one. So in that way, you would have to do a ratio.", "session_id": 9417, "sequence_id": 172, "annotations": []}
{"role": "volunteer", "content": "ratio equals this ratio.", "session_id": 9417, "sequence_id": 173, "annotations": []}
{"role": "volunteer", "content": "So", "session_id": 9417, "sequence_id": 174, "annotations": []}
{"role": "volunteer", "content": "which two sides are the same, similar?", "session_id": 9417, "sequence_id": 175, "annotations": []}
{"role": "student", "content": "Um 72 and 18.", "session_id": 9417, "sequence_id": 176, "annotations": []}
{"role": "volunteer", "content": "OK, perfect. So we put 72 right here.", "session_id": 9417, "sequence_id": 177, "annotations": []}
{"role": "volunteer", "content": "and we'll make 18 here.", "session_id": 9417, "sequence_id": 178, "annotations": []}
{"role": "volunteer", "content": "And what about the other sides", "session_id": 9417, "sequence_id": 179, "annotations": []}
{"role": "student", "content": "12, and X", "session_id": 9417, "sequence_id": 180, "annotations": []}
{"role": "volunteer", "content": "Mhm. OK, now let me explain how this, why this works, OK?", "session_id": 9417, "sequence_id": 181, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 9417, "sequence_id": 182, "annotations": []}
{"role": "volunteer", "content": "So if you divided this, it should be the same as 18 and X So that way it's saying that this ratio should be exact same as this one, even though they're not the same exact length, the ratio is similar, and that's why it's a similar triangle.", "session_id": 9417, "sequence_id": 183, "annotations": []}
{"role": "student", "content": "OK", "session_id": 9417, "sequence_id": 184, "annotations": []}
{"role": "volunteer", "content": "So if you did that, the ratio would be 6, this one over here, it would be 6, right? This would equal to 6.", "session_id": 9417, "sequence_id": 185, "annotations": []}
{"role": "volunteer", "content": "So that means when you've solved this one, when you solve for X, this should equal 6.2. That's how you know they are similar triangles.", "session_id": 9417, "sequence_id": 186, "annotations": []}
{"role": "student", "content": "OK", "session_id": 9417, "sequence_id": 187, "annotations": []}
{"role": "volunteer", "content": "Mhm. So on your equation board, which one is there anything that looks like that?", "session_id": 9417, "sequence_id": 188, "annotations": []}
{"role": "student", "content": "Mm yes", "session_id": 9417, "sequence_id": 189, "annotations": []}
{"role": "volunteer", "content": "Yeah, exactly, it's that one.", "session_id": 9417, "sequence_id": 190, "annotations": []}
{"role": "student", "content": "OK", "session_id": 9417, "sequence_id": 191, "annotations": []}
{"role": "volunteer", "content": "Mhm.", "session_id": 9417, "sequence_id": 192, "annotations": []}
{"role": "volunteer", "content": "Uh, OK, we'll just", "session_id": 9417, "sequence_id": 193, "annotations": []}
{"role": "student", "content": "Yeah, this one", "session_id": 9417, "sequence_id": 194, "annotations": []}
{"role": "student", "content": "this was", "session_id": 9417, "sequence_id": 195, "annotations": []}
{"role": "volunteer", "content": "Yeah, yeah, good job. So which one should we do next?", "session_id": 9417, "sequence_id": 196, "annotations": []}
{"role": "student", "content": "Um", "session_id": 9417, "sequence_id": 197, "annotations": []}
{"role": "student", "content": "this one", "session_id": 9417, "sequence_id": 198, "annotations": []}
{"role": "volunteer", "content": "Mhm", "session_id": 9417, "sequence_id": 199, "annotations": []}
{"role": "volunteer", "content": "OK, so does this one need to rotate the shape or no?", "session_id": 9417, "sequence_id": 200, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 9417, "sequence_id": 201, "annotations": []}
{"role": "volunteer", "content": "If you rotate it, which ones would be similar?", "session_id": 9417, "sequence_id": 202, "annotations": []}
{"role": "student", "content": "Um, XN 8 ft and", "session_id": 9417, "sequence_id": 203, "annotations": []}
{"role": "volunteer", "content": "Mhm", "session_id": 9417, "sequence_id": 204, "annotations": []}
{"role": "student", "content": "24 and", "session_id": 9417, "sequence_id": 205, "annotations": []}
{"role": "student", "content": "57", "session_id": 9417, "sequence_id": 206, "annotations": []}
{"role": "volunteer", "content": "Yeah, perfect. So do you find any numbers on the board that look like that?", "session_id": 9417, "sequence_id": 207, "annotations": []}
{"role": "student", "content": "Mhm", "session_id": 9417, "sequence_id": 208, "annotations": []}
{"role": "student", "content": "No", "session_id": 9417, "sequence_id": 209, "annotations": []}
{"role": "volunteer", "content": "OK, so that means we have to use the letters this time.", "session_id": 9417, "sequence_id": 210, "annotations": []}
{"role": "student", "content": "This is", "session_id": 9417, "sequence_id": 211, "annotations": []}
{"role": "volunteer", "content": "So", "session_id": 9417, "sequence_id": 212, "annotations": []}
{"role": "volunteer", "content": "um", "session_id": 9417, "sequence_id": 213, "annotations": []}
{"role": "student", "content": "0", "session_id": 9417, "sequence_id": 214, "annotations": []}
{"role": "volunteer", "content": "OK, so looking at the letters, if you do it the same as the one I just told you, which one would correspond, which letter to which letter?", "session_id": 9417, "sequence_id": 215, "annotations": []}
{"role": "student", "content": "CND and", "session_id": 9417, "sequence_id": 216, "annotations": []}
{"role": "student", "content": "BNC", "session_id": 9417, "sequence_id": 217, "annotations": []}
{"role": "volunteer", "content": "Like over or equal to?", "session_id": 9417, "sequence_id": 218, "annotations": []}
{"role": "student", "content": "Oh", "session_id": 9417, "sequence_id": 219, "annotations": []}
{"role": "student", "content": "over to", "session_id": 9417, "sequence_id": 220, "annotations": []}
{"role": "volunteer", "content": "Yeah, yeah, good, good. And then what about the other one?", "session_id": 9417, "sequence_id": 221, "annotations": []}
{"role": "student", "content": "the other one, KNL and", "session_id": 9417, "sequence_id": 222, "annotations": []}
{"role": "student", "content": "and", "session_id": 9417, "sequence_id": 223, "annotations": []}
{"role": "student", "content": "KNL and BNC.", "session_id": 9417, "sequence_id": 224, "annotations": []}
{"role": "volunteer", "content": "Mhm. Yeah. So can you find anything that looks like that?", "session_id": 9417, "sequence_id": 225, "annotations": []}
{"role": "student", "content": "00, there it is.", "session_id": 9417, "sequence_id": 226, "annotations": []}
{"role": "volunteer", "content": "Yeah, you're getting it. You're getting it, that's good. OK.", "session_id": 9417, "sequence_id": 227, "annotations": []}
{"role": "volunteer", "content": "You know why it's not the one that you almost clicked, right?", "session_id": 9417, "sequence_id": 228, "annotations": []}
{"role": "student", "content": "Yeah, cause BNC and", "session_id": 9417, "sequence_id": 229, "annotations": []}
{"role": "student", "content": "DNC, they're the same thing, like they're not", "session_id": 9417, "sequence_id": 230, "annotations": []}
{"role": "volunteer", "content": "Yeah I don't see it. Yeah, yeah, yeah, OK, you're getting as good, good. OK.", "session_id": 9417, "sequence_id": 231, "annotations": []}
{"role": "volunteer", "content": "Um", "session_id": 9417, "sequence_id": 232, "annotations": []}
{"role": "volunteer", "content": "I think that one's the last one on the bottom, right?", "session_id": 9417, "sequence_id": 233, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 9417, "sequence_id": 234, "annotations": []}
{"role": "volunteer", "content": "OK.", "session_id": 9417, "sequence_id": 235, "annotations": []}
{"role": "student", "content": "Mhm", "session_id": 9417, "sequence_id": 236, "annotations": []}
{"role": "student", "content": "this one", "session_id": 9417, "sequence_id": 237, "annotations": []}
{"role": "volunteer", "content": "Mhm.", "session_id": 9417, "sequence_id": 238, "annotations": []}
{"role": "student", "content": "It", "session_id": 9417, "sequence_id": 239, "annotations": []}
{"role": "student", "content": "um", "session_id": 9417, "sequence_id": 240, "annotations": []}
{"role": "student", "content": "I think it's this one", "session_id": 9417, "sequence_id": 241, "annotations": []}
{"role": "student", "content": "Yeah.", "session_id": 9417, "sequence_id": 242, "annotations": []}
{"role": "volunteer", "content": "Yeah, good job. All corrects.", "session_id": 9417, "sequence_id": 243, "annotations": []}
{"role": "student", "content": "OK", "session_id": 9417, "sequence_id": 244, "annotations": []}
{"role": "student", "content": "Thank you.", "session_id": 9417, "sequence_id": 245, "annotations": []}
{"role": "volunteer", "content": "Yeah, is that it", "session_id": 9417, "sequence_id": 246, "annotations": []}
{"role": "student", "content": "Um, I had another one.", "session_id": 9417, "sequence_id": 247, "annotations": []}
{"role": "volunteer", "content": "Yeah, that's fine", "session_id": 9417, "sequence_id": 248, "annotations": []}
{"role": "student", "content": "I watched the video.", "session_id": 9417, "sequence_id": 249, "annotations": []}
{"role": "student", "content": "Wait.", "session_id": 9417, "sequence_id": 250, "annotations": []}
{"role": "student", "content": "Oh", "session_id": 9417, "sequence_id": 251, "annotations": []}
{"role": "student", "content": "like this one is um it's just like to find this", "session_id": 9417, "sequence_id": 252, "annotations": []}
{"role": "student", "content": "just like.", "session_id": 9417, "sequence_id": 253, "annotations": []}
{"role": "volunteer", "content": "Mhm", "session_id": 9417, "sequence_id": 254, "annotations": []}
{"role": "volunteer", "content": "Do you understand how to use the butterfly thing to solve it?", "session_id": 9417, "sequence_id": 255, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 9417, "sequence_id": 256, "annotations": []}
{"role": "student", "content": "the um cross multiplication.", "session_id": 9417, "sequence_id": 257, "annotations": []}
{"role": "volunteer", "content": "Yes, yes", "session_id": 9417, "sequence_id": 258, "annotations": []}
{"role": "student", "content": "Wait, 6.", "session_id": 9417, "sequence_id": 259, "annotations": []}
{"role": "volunteer", "content": "Um, that's close. You have to cross multiply the since you cross multiplying the 3 in the X, yeah, perfect, yeah, mhm.", "session_id": 9417, "sequence_id": 260, "annotations": []}
{"role": "volunteer", "content": "And then you have to simplify the", "session_id": 9417, "sequence_id": 261, "annotations": []}
{"role": "volunteer", "content": "the X", "session_id": 9417, "sequence_id": 262, "annotations": []}
{"role": "student", "content": "Yeah, divide each.", "session_id": 9417, "sequence_id": 263, "annotations": []}
{"role": "volunteer", "content": "Yeah.", "session_id": 9417, "sequence_id": 264, "annotations": []}
{"role": "student", "content": "24 divided by", "session_id": 9417, "sequence_id": 265, "annotations": []}
{"role": "volunteer", "content": "Yeah, it's good", "session_id": 9417, "sequence_id": 266, "annotations": []}
{"role": "volunteer", "content": "And you just do the same thing for this one.", "session_id": 9417, "sequence_id": 267, "annotations": []}
{"role": "student", "content": "OK", "session_id": 9417, "sequence_id": 268, "annotations": []}
{"role": "student", "content": "It was it", "session_id": 9417, "sequence_id": 269, "annotations": []}
{"role": "student", "content": "15 times 12, right", "session_id": 9417, "sequence_id": 270, "annotations": []}
{"role": "volunteer", "content": "Um, 15, yup, uh-huh.", "session_id": 9417, "sequence_id": 271, "annotations": []}
{"role": "student", "content": "OK, OK", "session_id": 9417, "sequence_id": 272, "annotations": []}
{"role": "student", "content": "What we", "session_id": 9417, "sequence_id": 273, "annotations": []}
{"role": "student", "content": "oh", "session_id": 9417, "sequence_id": 274, "annotations": []}
{"role": "student", "content": "I'm Y", "session_id": 9417, "sequence_id": 275, "annotations": []}
{"role": "volunteer", "content": "Uh yes", "session_id": 9417, "sequence_id": 276, "annotations": []}
{"role": "student", "content": "Um, do I say 3HH3?", "session_id": 9417, "sequence_id": 277, "annotations": []}
{"role": "volunteer", "content": "Yes, you say 3HH3. It doesn't really matter what the", "session_id": 9417, "sequence_id": 278, "annotations": []}
{"role": "volunteer", "content": "Oh, you say 3HH3, same thing. Doesn't really matter what the variable is as long as they're only one variable, it's possible to solve, OK.", "session_id": 9417, "sequence_id": 279, "annotations": []}
{"role": "student", "content": "OK", "session_id": 9417, "sequence_id": 280, "annotations": []}
{"role": "volunteer", "content": "In variables can be like any type of", "session_id": 9417, "sequence_id": 281, "annotations": []}
{"role": "volunteer", "content": "letter. It doesn't have to just be X", "session_id": 9417, "sequence_id": 282, "annotations": []}
{"role": "student", "content": "OK", "session_id": 9417, "sequence_id": 283, "annotations": []}
{"role": "volunteer", "content": "Mhm.", "session_id": 9417, "sequence_id": 284, "annotations": []}
{"role": "volunteer", "content": "Mhm.", "session_id": 9417, "sequence_id": 285, "annotations": []}
{"role": "student", "content": "For this one, I got 10.93,500.", "session_id": 9417, "sequence_id": 286, "annotations": []}
{"role": "student", "content": "Should I write all of that down, which is like simplify it.", "session_id": 9417, "sequence_id": 287, "annotations": []}
{"role": "volunteer", "content": "I got that too, so, um, decimals, they like make a lot of long numbers at the end, so it's likely right.", "session_id": 9417, "sequence_id": 288, "annotations": []}
{"role": "student", "content": "All right", "session_id": 9417, "sequence_id": 289, "annotations": []}
{"role": "volunteer", "content": "You just gotta be confident in your multiplication.", "session_id": 9417, "sequence_id": 290, "annotations": []}
{"role": "student", "content": "If I write the whole thing", "session_id": 9417, "sequence_id": 291, "annotations": []}
{"role": "volunteer", "content": "Mhm. Yeah, you can do that", "session_id": 9417, "sequence_id": 292, "annotations": []}
{"role": "volunteer", "content": "cause in the answer key there're, they're just finding the, they're just trying to find X, I mean D, so", "session_id": 9417, "sequence_id": 293, "annotations": []}
{"role": "volunteer", "content": "you can write whatever you want until you get the answer.", "session_id": 9417, "sequence_id": 294, "annotations": []}
{"role": "volunteer", "content": "Mhm", "session_id": 9417, "sequence_id": 295, "annotations": []}
{"role": "student", "content": "OK. Thank you", "session_id": 9417, "sequence_id": 296, "annotations": []}
{"role": "volunteer", "content": "OK, is that it or is there anything else you need help with?", "session_id": 9417, "sequence_id": 297, "annotations": []}
{"role": "student", "content": "OK, thank you", "session_id": 9417, "sequence_id": 298, "annotations": []}
{"role": "volunteer", "content": "Yeah, no problem", "session_id": 9417, "sequence_id": 299, "annotations": []}
{"role": "volunteer", "content": "Hello! Thank you for choosing MathMinds! What can I help you with today?", "session_id": 9422, "sequence_id": 0, "annotations": [{"pii_type": "PERSON", "surrogate": "MathMinds", "start": 30, "end": 39}]}
{"role": "volunteer", "content": "To calculate the slope of a line we can use rise over run", "session_id": 9422, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 9422, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "its the other way", "session_id": 9422, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "slope of dotted line", "session_id": 9422, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "is -1/2", "session_id": 9422, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "and line of reflections is 2", "session_id": 9422, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "Thanks", "session_id": 9422, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "of course", "session_id": 9422, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "Equation of line of reflection", "session_id": 9422, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "Hi! How are you?", "session_id": 9440, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "Good", "session_id": 9440, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "How are you", "session_id": 9440, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "I'm pretty good, thanks for asking.", "session_id": 9440, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "This is the one I'm doing.", "session_id": 9440, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "Have you learned how, um, what cross multiplication is?", "session_id": 9440, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 9440, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "Do you know how to do that", "session_id": 9440, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "yes.", "session_id": 9440, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "That's the basic way you solve this. Yeah, just like that.", "session_id": 9440, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "So", "session_id": 9440, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "if you do", "session_id": 9440, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "-2 x 33", "session_id": 9440, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "What do you get", "session_id": 9440, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "-66", "session_id": 9440, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "Yeah, and the 66 would be equal to x x 3.", "session_id": 9440, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "190", "session_id": 9440, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "Not quite", "session_id": 9440, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "negative, negative", "session_id": 9440, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "Not quite. So", "session_id": 9440, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "from, so you would get um um 66 is equal to", "session_id": 9440, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "3 x", "session_id": 9440, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "and then to solve for X, you would divide by 3 on both sides of the equation, so you get X is equal to -66 divided by 3.", "session_id": 9440, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "OK", "session_id": 9440, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "No", "session_id": 9440, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "19.", "session_id": 9440, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "Close", "session_id": 9440, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "So", "session_id": 9440, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "66 divided by 3.", "session_id": 9440, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "is", "session_id": 9440, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "66 divided by 3 is -22.", "session_id": 9440, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 9440, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "So X is -22.", "session_id": 9440, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "OK", "session_id": 9440, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "well.", "session_id": 9440, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "you", "session_id": 9440, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "Yeah, that's right", "session_id": 9440, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "OK", "session_id": 9440, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "That's right", "session_id": 9440, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "would be -21?", "session_id": 9440, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "Yeah.", "session_id": 9440, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "Thank you", "session_id": 9440, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "I have one more", "session_id": 9440, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "Wait, isn't this how you do it?", "session_id": 9440, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "Not quite. You just solve it the same way that you do for the other equation that we just saw.", "session_id": 9440, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "OK", "session_id": 9440, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "OK, I already finished it", "session_id": 9440, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "Wait, can I simplify?", "session_id": 9440, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "What answer did you get?", "session_id": 9440, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "I got 98", "session_id": 9440, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "You can simplify I think", "session_id": 9440, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "how did you get to 98", "session_id": 9440, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "2 X equals 98, and then, oh, I forgot to divide. Oh.", "session_id": 9440, "sequence_id": 52, "annotations": []}
{"role": "student", "content": "we never mind", "session_id": 9440, "sequence_id": 53, "annotations": []}
{"role": "student", "content": "OK, 98 divided by 2.", "session_id": 9440, "sequence_id": 54, "annotations": []}
{"role": "student", "content": "So it would be 49", "session_id": 9440, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "Yeah, that's right", "session_id": 9440, "sequence_id": 56, "annotations": []}
{"role": "student", "content": "Uh", "session_id": 9440, "sequence_id": 57, "annotations": []}
{"role": "student", "content": "um, my computer said it's wrong.", "session_id": 9440, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "That should", "session_id": 9440, "sequence_id": 59, "annotations": []}
{"role": "student", "content": "Eta", "session_id": 9440, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "be", "session_id": 9440, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "that, that should be right", "session_id": 9440, "sequence_id": 62, "annotations": []}
{"role": "student", "content": "Oh", "session_id": 9440, "sequence_id": 63, "annotations": []}
{"role": "student", "content": "it's wrong", "session_id": 9440, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "Oh, I think it would be -49.", "session_id": 9440, "sequence_id": 65, "annotations": []}
{"role": "student", "content": "Oh, OK", "session_id": 9440, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "cause it's", "session_id": 9440, "sequence_id": 67, "annotations": []}
{"role": "student", "content": "00, there is a negative.", "session_id": 9440, "sequence_id": 68, "annotations": []}
{"role": "student", "content": "No, no, no, I said, I've put 94 instead. Oh my God.", "session_id": 9440, "sequence_id": 69, "annotations": []}
{"role": "student", "content": "OK, thank you for helping.", "session_id": 9440, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "Do you need any other help?", "session_id": 9440, "sequence_id": 71, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 9440, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "So, you solved this the same way as all of the other problems.", "session_id": 9440, "sequence_id": 73, "annotations": []}
{"role": "student", "content": "I don't, don't I have to isolate eggs.", "session_id": 9440, "sequence_id": 74, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 9440, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "So first you cross multiply, like before, right?", "session_id": 9440, "sequence_id": 76, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 9440, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "And you would, you would get", "session_id": 9440, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "10 times X is equal to -3 times 20.", "session_id": 9440, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "So that's basically and then you just sell for X.", "session_id": 9440, "sequence_id": 80, "annotations": []}
{"role": "volunteer", "content": "That's and then you just isolate X", "session_id": 9440, "sequence_id": 81, "annotations": []}
{"role": "student", "content": "OK", "session_id": 9440, "sequence_id": 82, "annotations": []}
{"role": "student", "content": "Wait, can I just isolate X first or you can't?", "session_id": 9440, "sequence_id": 83, "annotations": []}
{"role": "volunteer", "content": "Well, in actually in this case you can, you can isolate X.", "session_id": 9440, "sequence_id": 84, "annotations": []}
{"role": "student", "content": "OK", "session_id": 9440, "sequence_id": 85, "annotations": []}
{"role": "student", "content": "I", "session_id": 9440, "sequence_id": 86, "annotations": []}
{"role": "student", "content": "I", "session_id": 9440, "sequence_id": 87, "annotations": []}
{"role": "student", "content": "I", "session_id": 9440, "sequence_id": 88, "annotations": []}
{"role": "volunteer", "content": "Yes", "session_id": 9440, "sequence_id": 89, "annotations": []}
{"role": "student", "content": "It doesn't on the right side, the 20 and denominator cancels out the 20 denominator, leaving X", "session_id": 9440, "sequence_id": 90, "annotations": []}
{"role": "volunteer", "content": "yeah, it's just, yeah, that's right.", "session_id": 9440, "sequence_id": 91, "annotations": []}
{"role": "student", "content": "OK", "session_id": 9440, "sequence_id": 92, "annotations": []}
{"role": "student", "content": "Wait, how do I do like to rea like this one.", "session_id": 9440, "sequence_id": 93, "annotations": []}
{"role": "volunteer", "content": "What, what do you mean", "session_id": 9440, "sequence_id": 94, "annotations": []}
{"role": "student", "content": "I just like cancel that one out.", "session_id": 9440, "sequence_id": 95, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 9440, "sequence_id": 96, "annotations": []}
{"role": "volunteer", "content": "but not on that side", "session_id": 9440, "sequence_id": 97, "annotations": []}
{"role": "student", "content": "Oh, the other side.", "session_id": 9440, "sequence_id": 98, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 9440, "sequence_id": 99, "annotations": []}
{"role": "student", "content": "OK", "session_id": 9440, "sequence_id": 100, "annotations": []}
{"role": "student", "content": "I divide 20 and 10.", "session_id": 9440, "sequence_id": 101, "annotations": []}
{"role": "volunteer", "content": "Yes", "session_id": 9440, "sequence_id": 102, "annotations": []}
{"role": "student", "content": "X equals -6.", "session_id": 9440, "sequence_id": 103, "annotations": []}
{"role": "volunteer", "content": "Yup", "session_id": 9440, "sequence_id": 104, "annotations": []}
{"role": "student", "content": "This one was a little easier.", "session_id": 9440, "sequence_id": 105, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 9440, "sequence_id": 106, "annotations": []}
{"role": "student", "content": "Because it looks great.", "session_id": 9440, "sequence_id": 107, "annotations": []}
{"role": "volunteer", "content": "Yeah, it's right", "session_id": 9440, "sequence_id": 108, "annotations": []}
{"role": "student", "content": "OK, thank you", "session_id": 9440, "sequence_id": 109, "annotations": []}
{"role": "volunteer", "content": "Of course", "session_id": 9440, "sequence_id": 110, "annotations": []}
{"role": "volunteer", "content": "Hello!", "session_id": 9437, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "hi", "session_id": 9437, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "What would you like to work on today?", "session_id": 9437, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "i need help with a question", "session_id": 9437, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "sure!", "session_id": 9437, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "could i post it on the whiteboard", "session_id": 9437, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "alright :D", "session_id": 9437, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "Let me know once you have.", "session_id": 9437, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "it took a minute my computer was being weird", "session_id": 9437, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "Marcus", "session_id": 9437, "sequence_id": 9, "annotations": [{"pii_type": "PERSON", "surrogate": "Marcus", "start": 0, "end": 6}]}
{"role": "volunteer", "content": "So when they say find the value of f(7) are they looking for 7 on the x axis or y axis?", "session_id": 9437, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "x i think", "session_id": 9437, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "Great!", "session_id": 9437, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "Now pinpoint the Y value where the line crosses 7 on the X axis.", "session_id": 9437, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "-3", "session_id": 9437, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "Awsome! You got it!", "session_id": 9437, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "so thats just the answer? y=f(-3)", "session_id": 9437, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "close. it's f(7)=-3. This is because the f(x) value is already given and all we are doing is finding the y.", "session_id": 9437, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "ok", "session_id": 9437, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "Marcus. Do you have any other problems you would like to work on?", "session_id": 9437, "sequence_id": 19, "annotations": [{"pii_type": "PERSON", "surrogate": "Marcus", "start": 0, "end": 6}]}
{"role": "student", "content": "could you help me with a few more questions? im reviweing for a unit test tomorrow and im not super confident", "session_id": 9437, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "Ofcourse!", "session_id": 9437, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "ok i will post the next one", "session_id": 9437, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "Great! What do you think they are looking for in this problem?", "session_id": 9437, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "uh", "session_id": 9437, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "the values when it crosses zero", "session_id": 9437, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "?", "session_id": 9437, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "What values, X or Y", "session_id": 9437, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "y", "session_id": 9437, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "Not quite, we are given the y values, zero, but we are looking for the X values when y=0.", "session_id": 9437, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "oh ok", "session_id": 9437, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "What values of x do you see that cross y=0?", "session_id": 9437, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "none", "session_id": 9437, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "Hmm, not quite. Let me circle which points i'm refering to.", "session_id": 9437, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "oh oops", "session_id": 9437, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "-7,-3,1,7", "session_id": 9437, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "perfect! those are your answers", "session_id": 9437, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "if you are asked to write them you would write it as f(-7)=0 and the rest of them", "session_id": 9437, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "ok", "session_id": 9437, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "on my computer it just had me put in the values into different boxes that had x=", "session_id": 9437, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "In that case you can just write the values u gave me", "session_id": 9437, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "-7,-3,1,7", "session_id": 9437, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "ok", "session_id": 9437, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "rip I have a bio test im cramming for :sob:", "session_id": 9437, "sequence_id": 43, "annotations": []}
{"role": "student", "content": "lol i hate bio", "session_id": 9437, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "i just took my unit 3 test and i got an 87", "session_id": 9437, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "rippp", "session_id": 9437, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "Do you have any other problems to work on?", "session_id": 9437, "sequence_id": 47, "annotations": []}
{"role": "student", "content": "i have one more i think", "session_id": 9437, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "Okay!", "session_id": 9437, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "First off, do you know what the x intercept is in this problem. hint, it is the value of x when y is 0", "session_id": 9437, "sequence_id": 50, "annotations": []}
{"role": "student", "content": "-2", "session_id": 9437, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "great! what about the graph?", "session_id": 9437, "sequence_id": 52, "annotations": []}
{"role": "student", "content": "can you explain what you mean", "session_id": 9437, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "We have two different functions, the plane(the one you just did) and the graph with the x and g(x)/y values. Right now we are trying to figure out the x intercept of the graph.", "session_id": 9437, "sequence_id": 54, "annotations": []}
{"role": "student", "content": "wait so how do you get that\\", "session_id": 9437, "sequence_id": 55, "annotations": []}
{"role": "student", "content": "sorry im lost", "session_id": 9437, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "no it's fine lol", "session_id": 9437, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "which part are you confused on?", "session_id": 9437, "sequence_id": 58, "annotations": []}
{"role": "student", "content": "i get the x intercept but i dont get how to get it for the table", "session_id": 9437, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "oh ok. As I mentioned, the x intercept is when the y values are 0", "session_id": 9437, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "so in this case", "session_id": 9437, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "the y values are g(x)", "session_id": 9437, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "so when g(x) what is the x value corresponding to it?", "session_id": 9437, "sequence_id": 63, "annotations": []}
{"role": "student", "content": "i think i get it", "session_id": 9437, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "oki", "session_id": 9437, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "and for the last part what are the dropdown options?", "session_id": 9437, "sequence_id": 66, "annotations": []}
{"role": "student", "content": "you can either pick greater or smaller", "session_id": 9437, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "So which one would you think it is?", "session_id": 9437, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "F(x)=-2 and G(x)=-3", "session_id": 9437, "sequence_id": 69, "annotations": []}
{"role": "student", "content": "so my answer is -2,-3, greater", "session_id": 9437, "sequence_id": 70, "annotations": []}
{"role": "student", "content": "for the boxes", "session_id": 9437, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "yeah!", "session_id": 9437, "sequence_id": 72, "annotations": []}
{"role": "student", "content": "ok thank you", "session_id": 9437, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "Ofc!", "session_id": 9437, "sequence_id": 74, "annotations": []}
{"role": "student", "content": "thats eveything i had questions on", "session_id": 9437, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "I had a great time working with you today. Hope you do awsome on your test tomorrow. :D", "session_id": 9437, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "GL", "session_id": 9437, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "Hello", "session_id": 9450, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "David", "session_id": 9450, "sequence_id": 1, "annotations": [{"pii_type": "PERSON", "surrogate": "David", "start": 0, "end": 5}]}
{"role": "student", "content": "Can you turn your mic on?", "session_id": 9450, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "Yeah, sure. Uh, can you hear me?", "session_id": 9450, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "Yes, I'm hearing. Yes, I can hear you.", "session_id": 9450, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "Yup. So, what can I help you with today?", "session_id": 9450, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "Homework assignment, I'll upload it.", "session_id": 9450, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "Um", "session_id": 9450, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "wait, what's it, what's it about? Like, what topics is it about?", "session_id": 9450, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 9450, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "and that's", "session_id": 9450, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "multiplying decimals", "session_id": 9450, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "multi.", "session_id": 9450, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "s", "session_id": 9450, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "Oh, mostly that's what. OK, so, uh, can you give me an example of what's on your sheet, uh homework sheet.", "session_id": 9450, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "Yeah, uh, I can see the thing, I can see the thing.", "session_id": 9450, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "So, um", "session_id": 9450, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "uh", "session_id": 9450, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "so you want help with that problem, specific problem?", "session_id": 9450, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "Can you just check this for me?", "session_id": 9450, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "Oh, sure, I mean,", "session_id": 9450, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "um", "session_id": 9450, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "um", "session_id": 9450, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "very good", "session_id": 9450, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "Um, 6.", "session_id": 9450, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "wait.", "session_id": 9450, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "um", "session_id": 9450, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "Uh, it, yeah, it's overlapping.", "session_id": 9450, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "Um", "session_id": 9450, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "Yeah, it's still kind of a bit weird.", "session_id": 9450, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "OK, so, uh, how do I, I'm sorry.", "session_id": 9450, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "Yeah.", "session_id": 9450, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "Um, let me try using this. Yeah, yeah, OK. Let me grab this one and bring it right here. OK, so let's", "session_id": 9450, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "OK, so", "session_id": 9450, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "OK, so let me look at the um the one at the bottom.", "session_id": 9450, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "pack of ribbons", "session_id": 9450, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "So, uh, can you look a number of pro problem too.", "session_id": 9450, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "uh, on this bottom one, like this one.", "session_id": 9450, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "Let me, let me highlight it", "session_id": 9450, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "Oh, let me just look real quick.", "session_id": 9450, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 9450, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "I'm sorry", "session_id": 9450, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "Mm", "session_id": 9450, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 9450, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "yeah, this one, do you see the one I'm, uh, sorry, do you see this one? I'm holding this one. So, you might want to, yeah, you want, you might wanna check this first, sorry, let me make it. You might want to check this one out.", "session_id": 9450, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "OK", "session_id": 9450, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "Yeah, um", "session_id": 9450, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "yeah, the decimal portion, good job. Uh, but you might wanna look at the integer portion of this one. The", "session_id": 9450, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "the number 2", "session_id": 9450, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "So what's subtracting", "session_id": 9450, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "Uh, uses", "session_id": 9450, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "yeah, so, uh, we start with um a length of a pack of ribon is 97 inches. That's the total, right? So, if you use something, you", "session_id": 9450, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "if you use something, you.", "session_id": 9450, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "Uh, so if you use something, are you, what are you doing to the original amount?", "session_id": 9450, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "Hello", "session_id": 9450, "sequence_id": 54, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 9450, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "Yeah, if you're using something, what are you doing to the original amount?", "session_id": 9450, "sequence_id": 56, "annotations": []}
{"role": "student", "content": "Are we adding it", "session_id": 9450, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "Uh, let me give you an example. So if I have a one-feet rope of twizzlers, right? And I rem uh and I use AKAE um, half of it", "session_id": 9450, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "um, do I have less in the end, or more in the end?", "session_id": 9450, "sequence_id": 59, "annotations": []}
{"role": "student", "content": "less", "session_id": 9450, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "Yeah, so let's look at problem two. if you start with, if you have a total of 97.", "session_id": 9450, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "and Maria uses set up some amount, uh, how how much remates?", "session_id": 9450, "sequence_id": 62, "annotations": [{"pii_type": "PERSON", "surrogate": "Maria", "start": 4, "end": 9}]}
{"role": "volunteer", "content": "What would, what, what would that be, addition or subtraction?", "session_id": 9450, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "Hello", "session_id": 9450, "sequence_id": 64, "annotations": []}
{"role": "student", "content": "uh will be um", "session_id": 9450, "sequence_id": 65, "annotations": []}
{"role": "student", "content": "uh subtracting.", "session_id": 9450, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "Yeah, good job.", "session_id": 9450, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "So, uh, oh, OK, it's gonna be a bit harder to, hard to write on here.", "session_id": 9450, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "Oh sorry", "session_id": 9450, "sequence_id": 69, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 9450, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "Yeah, so, can you write, let me write the numbers uh down here. Let me write the numbers.", "session_id": 9450, "sequence_id": 71, "annotations": []}
{"role": "student", "content": "OK", "session_id": 9450, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "Uh, give me a second and uh wait, 73", "session_id": 9450, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "8", "session_id": 9450, "sequence_id": 74, "annotations": []}
{"role": "volunteer", "content": "OK. So", "session_id": 9450, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "uh, now let's try to do this one.", "session_id": 9450, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "uh, give, yeah, are you, yeah, kind of, yeah.", "session_id": 9450, "sequence_id": 77, "annotations": []}
{"role": "student", "content": "Mm.", "session_id": 9450, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "OK, so", "session_id": 9450, "sequence_id": 79, "annotations": []}
{"role": "student", "content": "Mhm", "session_id": 9450, "sequence_id": 80, "annotations": []}
{"role": "student", "content": "Mhm.", "session_id": 9450, "sequence_id": 81, "annotations": []}
{"role": "volunteer", "content": "so, um, so yeah, uh, let, let's do the subtraction problem.", "session_id": 9450, "sequence_id": 82, "annotations": []}
{"role": "student", "content": "OK", "session_id": 9450, "sequence_id": 83, "annotations": []}
{"role": "volunteer", "content": "OK, uh, do you see this? um,", "session_id": 9450, "sequence_id": 84, "annotations": []}
{"role": "student", "content": "Yes, I see it", "session_id": 9450, "sequence_id": 85, "annotations": []}
{"role": "volunteer", "content": "Yeah, OK, yeah.", "session_id": 9450, "sequence_id": 86, "annotations": []}
{"role": "volunteer", "content": "OK, you try it, you try it, and then I'll, I'll help you uh on the way. Like I'll help you as well.", "session_id": 9450, "sequence_id": 87, "annotations": []}
{"role": "volunteer", "content": "I'll tell you if you do it", "session_id": 9450, "sequence_id": 88, "annotations": []}
{"role": "volunteer", "content": "That's it.", "session_id": 9450, "sequence_id": 89, "annotations": []}
{"role": "student", "content": "All right", "session_id": 9450, "sequence_id": 90, "annotations": []}
{"role": "volunteer", "content": "Wait, you know what, uh, let me do an easier example. We do an easier example.", "session_id": 9450, "sequence_id": 91, "annotations": []}
{"role": "volunteer", "content": "cause, uh, then you can just do this like", "session_id": 9450, "sequence_id": 92, "annotations": []}
{"role": "volunteer", "content": "um it'll be much easier to get this one.", "session_id": 9450, "sequence_id": 93, "annotations": []}
{"role": "volunteer", "content": "So let me do, wait, here like right next to it?", "session_id": 9450, "sequence_id": 94, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 9450, "sequence_id": 95, "annotations": []}
{"role": "volunteer", "content": "OK. So I'm gonna write, uh, I'm gonna do an easier one cause you're, you're gonna have to like do some mental math and yeah, like.", "session_id": 9450, "sequence_id": 96, "annotations": []}
{"role": "volunteer", "content": "it's gonna take a little bit, so I'll give you an easier one. So like 8.12.", "session_id": 9450, "sequence_id": 97, "annotations": []}
{"role": "volunteer", "content": "minus, sorry, uh, uh, 6.2, uh, I'm sorry, 8.2 minus 6.2.", "session_id": 9450, "sequence_id": 98, "annotations": []}
{"role": "volunteer", "content": "So, see this one? Do this one real quick.", "session_id": 9450, "sequence_id": 99, "annotations": []}
{"role": "volunteer", "content": "Yeah.", "session_id": 9450, "sequence_id": 100, "annotations": []}
{"role": "student", "content": "OK", "session_id": 9450, "sequence_id": 101, "annotations": []}
{"role": "volunteer", "content": "Let me have the 0, let me add the 0 at the end to make it clear.", "session_id": 9450, "sequence_id": 102, "annotations": []}
{"role": "student", "content": "I was supposed", "session_id": 9450, "sequence_id": 103, "annotations": []}
{"role": "student", "content": "Mm", "session_id": 9450, "sequence_id": 104, "annotations": []}
{"role": "student", "content": "You said, um, you said do this, which one?", "session_id": 9450, "sequence_id": 105, "annotations": []}
{"role": "volunteer", "content": "Uh, the one next to the other one, so the one next to this.", "session_id": 9450, "sequence_id": 106, "annotations": []}
{"role": "student", "content": "Oh, I see it", "session_id": 9450, "sequence_id": 107, "annotations": []}
{"role": "volunteer", "content": "yeah.", "session_id": 9450, "sequence_id": 108, "annotations": []}
{"role": "volunteer", "content": "Oh, are you doing it on paper", "session_id": 9450, "sequence_id": 109, "annotations": []}
{"role": "student", "content": "OK, I'm doing it right now", "session_id": 9450, "sequence_id": 110, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 9450, "sequence_id": 111, "annotations": []}
{"role": "student", "content": "I went to go get the paper.", "session_id": 9450, "sequence_id": 112, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 9450, "sequence_id": 113, "annotations": []}
{"role": "volunteer", "content": "Yeah, do it on paper because it's a lot easier on paper.", "session_id": 9450, "sequence_id": 114, "annotations": []}
{"role": "student", "content": "The answer", "session_id": 9450, "sequence_id": 115, "annotations": []}
{"role": "volunteer", "content": "Yep, you got the answer?", "session_id": 9450, "sequence_id": 116, "annotations": []}
{"role": "student", "content": "is, is 1 in 92.", "session_id": 9450, "sequence_id": 117, "annotations": []}
{"role": "student", "content": "Yeah.", "session_id": 9450, "sequence_id": 118, "annotations": []}
{"role": "volunteer", "content": "192?", "session_id": 9450, "sequence_id": 119, "annotations": []}
{"role": "student", "content": "It's 1.92.", "session_id": 9450, "sequence_id": 120, "annotations": []}
{"role": "volunteer", "content": "Yeah, OK", "session_id": 9450, "sequence_id": 121, "annotations": []}
{"role": "volunteer", "content": "right.", "session_id": 9450, "sequence_id": 122, "annotations": []}
{"role": "volunteer", "content": "So, OK, yep, good job. OK. So now let's do that on the big problem, sorry, the big problem. I mean, you know, you get it right. So let's do that on that big problem.", "session_id": 9450, "sequence_id": 123, "annotations": []}
{"role": "student", "content": "OK", "session_id": 9450, "sequence_id": 124, "annotations": []}
{"role": "volunteer", "content": "Uh yeah", "session_id": 9450, "sequence_id": 125, "annotations": []}
{"role": "student", "content": "Are we going to do a cook", "session_id": 9450, "sequence_id": 126, "annotations": []}
{"role": "student", "content": "like", "session_id": 9450, "sequence_id": 127, "annotations": []}
{"role": "student", "content": "uh the teacher even.", "session_id": 9450, "sequence_id": 128, "annotations": []}
{"role": "student", "content": "the big one.", "session_id": 9450, "sequence_id": 129, "annotations": []}
{"role": "student", "content": "people.", "session_id": 9450, "sequence_id": 130, "annotations": []}
{"role": "student", "content": "and.", "session_id": 9450, "sequence_id": 131, "annotations": []}
{"role": "student", "content": "Mm.", "session_id": 9450, "sequence_id": 132, "annotations": []}
{"role": "student", "content": "do", "session_id": 9450, "sequence_id": 133, "annotations": []}
{"role": "student", "content": "to", "session_id": 9450, "sequence_id": 134, "annotations": []}
{"role": "student", "content": "Hm", "session_id": 9450, "sequence_id": 135, "annotations": []}
{"role": "volunteer", "content": "Uh, are, are", "session_id": 9450, "sequence_id": 136, "annotations": []}
{"role": "student", "content": "the", "session_id": 9450, "sequence_id": 137, "annotations": []}
{"role": "volunteer", "content": "uh yeah", "session_id": 9450, "sequence_id": 138, "annotations": []}
{"role": "student", "content": "is the answer 23.85.", "session_id": 9450, "sequence_id": 139, "annotations": []}
{"role": "volunteer", "content": "Uh, sorry, what? 823. 0 sorry, chocolate.", "session_id": 9450, "sequence_id": 140, "annotations": []}
{"role": "volunteer", "content": "23", "session_id": 9450, "sequence_id": 141, "annotations": []}
{"role": "volunteer", "content": "points", "session_id": 9450, "sequence_id": 142, "annotations": []}
{"role": "volunteer", "content": "Let's see", "session_id": 9450, "sequence_id": 143, "annotations": []}
{"role": "student", "content": "Uh", "session_id": 9450, "sequence_id": 144, "annotations": []}
{"role": "volunteer", "content": "Yup. Oh, what did you say? What did you say? 23.85.", "session_id": 9450, "sequence_id": 145, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 9450, "sequence_id": 146, "annotations": []}
{"role": "volunteer", "content": "Are we sure about are are you sure about the decimal place?", "session_id": 9450, "sequence_id": 147, "annotations": []}
{"role": "student", "content": "Well, let me see something real quick", "session_id": 9450, "sequence_id": 148, "annotations": []}
{"role": "volunteer", "content": "Yeah. Are you, are you sure about that? Yeah, are you sure about the best?", "session_id": 9450, "sequence_id": 149, "annotations": []}
{"role": "student", "content": "we do.", "session_id": 9450, "sequence_id": 150, "annotations": []}
{"role": "student", "content": "is the, is the answer 23.15.", "session_id": 9450, "sequence_id": 151, "annotations": []}
{"role": "volunteer", "content": "Yeah, good job. Yup. Good job. Wow, nice.", "session_id": 9450, "sequence_id": 152, "annotations": []}
{"role": "volunteer", "content": "Yeah, some these word problems uh try to trick you, so.", "session_id": 9450, "sequence_id": 153, "annotations": []}
{"role": "volunteer", "content": "yeah", "session_id": 9450, "sequence_id": 154, "annotations": []}
{"role": "volunteer", "content": "The best thing to do with work problems is to like imagine the stuff.", "session_id": 9450, "sequence_id": 155, "annotations": []}
{"role": "volunteer", "content": "like, you know", "session_id": 9450, "sequence_id": 156, "annotations": []}
{"role": "volunteer", "content": "OK, let me", "session_id": 9450, "sequence_id": 157, "annotations": []}
{"role": "volunteer", "content": "do", "session_id": 9450, "sequence_id": 158, "annotations": []}
{"role": "student", "content": "I'm back", "session_id": 9450, "sequence_id": 159, "annotations": []}
{"role": "volunteer", "content": "the job. Yeah, you can update that on your paper. Um, I just", "session_id": 9450, "sequence_id": 160, "annotations": []}
{"role": "volunteer", "content": "yep, now you can update that on your um that uh papers, yeah.", "session_id": 9450, "sequence_id": 161, "annotations": []}
{"role": "student", "content": "OK", "session_id": 9450, "sequence_id": 162, "annotations": []}
{"role": "student", "content": "12, 34.", "session_id": 9450, "sequence_id": 163, "annotations": []}
{"role": "student", "content": "2", "session_id": 9450, "sequence_id": 164, "annotations": []}
{"role": "student", "content": "Chloe", "session_id": 9450, "sequence_id": 165, "annotations": [{"pii_type": "PERSON", "surrogate": "Chloe", "start": 0, "end": 5}]}
{"role": "student", "content": "You", "session_id": 9450, "sequence_id": 166, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 9450, "sequence_id": 167, "annotations": []}
{"role": "student", "content": "easy", "session_id": 9450, "sequence_id": 168, "annotations": []}
{"role": "student", "content": "OK, then", "session_id": 9450, "sequence_id": 169, "annotations": []}
{"role": "volunteer", "content": "Yup. OK. Now, let's move on to number 3. let me, let me check number 3. Let me show you. Um, you might, OK, oh, sorry, let me.", "session_id": 9450, "sequence_id": 170, "annotations": []}
{"role": "student", "content": "Yeah, I can see it", "session_id": 9450, "sequence_id": 171, "annotations": []}
{"role": "volunteer", "content": "uh, you see number 3. I'm just gonna highlight this. I'm not gonna highlight stuff. Yep. So, OK", "session_id": 9450, "sequence_id": 172, "annotations": []}
{"role": "volunteer", "content": "Leo likes to take walks. He walked 3.5 miles on Monday. 7 miles on Wednesday, and 6.2 miles on Friday. How many miles did he walk in 3 days? What do you, do you, what do you think that is? What do you think? Do you think it's an addition, subtraction problem? What do you think it is?", "session_id": 9450, "sequence_id": 173, "annotations": []}
{"role": "student", "content": "Uh", "session_id": 9450, "sequence_id": 174, "annotations": []}
{"role": "student", "content": "it's wait, is it probably is it adding?", "session_id": 9450, "sequence_id": 175, "annotations": []}
{"role": "volunteer", "content": "Yeah, I mean, well, do you, OK, if I walked, if I ate, so if I wanted to track", "session_id": 9450, "sequence_id": 176, "annotations": []}
{"role": "volunteer", "content": "how how far I'm sorry, how many Twizzlers I've eaten, and I ate one twizzler in the morning.", "session_id": 9450, "sequence_id": 177, "annotations": []}
{"role": "volunteer", "content": "12 twizzlers in the evening, and 3 Twizzlers at night.", "session_id": 9450, "sequence_id": 178, "annotations": []}
{"role": "volunteer", "content": "Was that an adding problem", "session_id": 9450, "sequence_id": 179, "annotations": []}
{"role": "volunteer", "content": "And I, and I want to know the total of how many Twizzlers I ate.", "session_id": 9450, "sequence_id": 180, "annotations": []}
{"role": "volunteer", "content": "Is that an adding problem or is it tracking problem?", "session_id": 9450, "sequence_id": 181, "annotations": []}
{"role": "student", "content": "it's subtracting.", "session_id": 9450, "sequence_id": 182, "annotations": []}
{"role": "student", "content": "but I added, added, added.", "session_id": 9450, "sequence_id": 183, "annotations": []}
{"role": "volunteer", "content": "Uh, are you sure? Are you sure? Um, cause I'm, I'm sure, yeah, good job. So think of that. Think of that, like with this question, like, if I walked 3 days, uh, if I walked some amount and then walked another amount, and then walked another amount. How much did I walk in those three time periods? Is that an addition problem or a subtraction?", "session_id": 9450, "sequence_id": 184, "annotations": []}
{"role": "volunteer", "content": "What do you", "session_id": 9450, "sequence_id": 185, "annotations": []}
{"role": "student", "content": "addition", "session_id": 9450, "sequence_id": 186, "annotations": []}
{"role": "volunteer", "content": "Yeah, good job. OK, um, now,", "session_id": 9450, "sequence_id": 187, "annotations": []}
{"role": "volunteer", "content": "uh, do you wanna do it in like chunks? You wanna add what it.", "session_id": 9450, "sequence_id": 188, "annotations": []}
{"role": "volunteer", "content": "Sorry, excuse me, um, uh, so yeah, now you can just uh do that. You can try, uh.", "session_id": 9450, "sequence_id": 189, "annotations": []}
{"role": "volunteer", "content": "write, write the three numbers and then like, you know, do the thing.", "session_id": 9450, "sequence_id": 190, "annotations": []}
{"role": "volunteer", "content": "and the big", "session_id": 9450, "sequence_id": 191, "annotations": []}
{"role": "volunteer", "content": "Well", "session_id": 9450, "sequence_id": 192, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 9450, "sequence_id": 193, "annotations": []}
{"role": "student", "content": "I think it's broken", "session_id": 9450, "sequence_id": 194, "annotations": []}
{"role": "student", "content": "What the heck", "session_id": 9450, "sequence_id": 195, "annotations": []}
{"role": "volunteer", "content": "Oh", "session_id": 9450, "sequence_id": 196, "annotations": []}
{"role": "volunteer", "content": "Oh no, wait, uh, let me get that.", "session_id": 9450, "sequence_id": 197, "annotations": []}
{"role": "volunteer", "content": "Oh, actually, you got it?", "session_id": 9450, "sequence_id": 198, "annotations": []}
{"role": "student", "content": "What", "session_id": 9450, "sequence_id": 199, "annotations": []}
{"role": "volunteer", "content": "OK, there it is. It's nice and deep.", "session_id": 9450, "sequence_id": 200, "annotations": []}
{"role": "student", "content": "Why, why must be blue.", "session_id": 9450, "sequence_id": 201, "annotations": []}
{"role": "student", "content": "What do you", "session_id": 9450, "sequence_id": 202, "annotations": []}
{"role": "volunteer", "content": "Oh yeah", "session_id": 9450, "sequence_id": 203, "annotations": []}
{"role": "volunteer", "content": "yeah", "session_id": 9450, "sequence_id": 204, "annotations": []}
{"role": "student", "content": "You know to see.", "session_id": 9450, "sequence_id": 205, "annotations": []}
{"role": "volunteer", "content": "Yup, yeah", "session_id": 9450, "sequence_id": 206, "annotations": []}
{"role": "volunteer", "content": "Oh, let me remove this stuff.", "session_id": 9450, "sequence_id": 207, "annotations": []}
{"role": "volunteer", "content": "Let me remove the previous stuff", "session_id": 9450, "sequence_id": 208, "annotations": []}
{"role": "student", "content": "OK", "session_id": 9450, "sequence_id": 209, "annotations": []}
{"role": "volunteer", "content": "Oh", "session_id": 9450, "sequence_id": 210, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 9450, "sequence_id": 211, "annotations": []}
{"role": "student", "content": "My bad", "session_id": 9450, "sequence_id": 212, "annotations": []}
{"role": "volunteer", "content": "Oh wait, did you, did I get the lead in? Yeah, it's fine. Um, you, you, you have the questions on paper, right?", "session_id": 9450, "sequence_id": 213, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 9450, "sequence_id": 214, "annotations": []}
{"role": "volunteer", "content": "Yeah, it's fine. Uh, just type it into chat, just like type in.", "session_id": 9450, "sequence_id": 215, "annotations": []}
{"role": "volunteer", "content": "like the gist of it.", "session_id": 9450, "sequence_id": 216, "annotations": []}
{"role": "student", "content": "OK", "session_id": 9450, "sequence_id": 217, "annotations": []}
{"role": "student", "content": "Oh my gosh", "session_id": 9450, "sequence_id": 218, "annotations": []}
{"role": "student", "content": "No", "session_id": 9450, "sequence_id": 219, "annotations": []}
{"role": "student", "content": "What am I doing", "session_id": 9450, "sequence_id": 220, "annotations": []}
{"role": "student", "content": "Mm", "session_id": 9450, "sequence_id": 221, "annotations": []}
{"role": "student", "content": "mm.", "session_id": 9450, "sequence_id": 222, "annotations": []}
{"role": "volunteer", "content": "Oh yes.", "session_id": 9450, "sequence_id": 223, "annotations": []}
{"role": "student", "content": "So I'm gonna put up and cha again", "session_id": 9450, "sequence_id": 224, "annotations": []}
{"role": "volunteer", "content": "Huh", "session_id": 9450, "sequence_id": 225, "annotations": []}
{"role": "student", "content": "What do you want me to type in chat?", "session_id": 9450, "sequence_id": 226, "annotations": []}
{"role": "volunteer", "content": "OK, so, uh, no, no, no, it's fine. You, you put the picture up, up, up front, so it's fine.", "session_id": 9450, "sequence_id": 227, "annotations": []}
{"role": "volunteer", "content": "Um, I just wanted you to do that problem, like.", "session_id": 9450, "sequence_id": 228, "annotations": []}
{"role": "volunteer", "content": "yeah.", "session_id": 9450, "sequence_id": 229, "annotations": []}
{"role": "student", "content": "Hi", "session_id": 9450, "sequence_id": 230, "annotations": []}
{"role": "volunteer", "content": "Yeah, I need to see like the problem and then you can, you can just use the paper.", "session_id": 9450, "sequence_id": 231, "annotations": []}
{"role": "volunteer", "content": "cause it's kind of hard to see on the screen.", "session_id": 9450, "sequence_id": 232, "annotations": []}
{"role": "student", "content": "so sleepy.", "session_id": 9450, "sequence_id": 233, "annotations": []}
{"role": "student", "content": "Did the answer 10.7?", "session_id": 9450, "sequence_id": 234, "annotations": []}
{"role": "volunteer", "content": "Um,", "session_id": 9450, "sequence_id": 235, "annotations": []}
{"role": "student", "content": "10.7", "session_id": 9450, "sequence_id": 236, "annotations": []}
{"role": "volunteer", "content": "uh, are you sure about that?", "session_id": 9450, "sequence_id": 237, "annotations": []}
{"role": "volunteer", "content": "Wait, OK", "session_id": 9450, "sequence_id": 238, "annotations": []}
{"role": "student", "content": "Uh", "session_id": 9450, "sequence_id": 239, "annotations": []}
{"role": "student", "content": "OK", "session_id": 9450, "sequence_id": 240, "annotations": []}
{"role": "volunteer", "content": "Uh, are you sure? You want you wanna review that again. So if we, so he walked 4.5 miles and then 7 miles and then 6.2 miles.", "session_id": 9450, "sequence_id": 241, "annotations": []}
{"role": "volunteer", "content": "Yep, tell me when you're uh done with the thing.", "session_id": 9450, "sequence_id": 242, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 9450, "sequence_id": 243, "annotations": []}
{"role": "student", "content": "Do I include the 7", "session_id": 9450, "sequence_id": 244, "annotations": []}
{"role": "volunteer", "content": "Uh, which one? The 7 miles. I mean, uh, at the end of the question, it says, uh, how many miles did Noah and walk in 3 days in all 3 days, in 3 days.", "session_id": 9450, "sequence_id": 245, "annotations": [{"pii_type": "PERSON", "surrogate": "Noah", "start": 100, "end": 104}]}
{"role": "volunteer", "content": "So, does that answer your question?", "session_id": 9450, "sequence_id": 246, "annotations": []}
{"role": "student", "content": "Kinda", "session_id": 9450, "sequence_id": 247, "annotations": []}
{"role": "volunteer", "content": "So, I mean", "session_id": 9450, "sequence_id": 248, "annotations": []}
{"role": "volunteer", "content": "if you, so if I ate Twizzlers 3 times a day, and I ate 3 in the morning, 4 in the afternoon, and 5 in at night. Well, how many values do I have?", "session_id": 9450, "sequence_id": 249, "annotations": []}
{"role": "volunteer", "content": "Like, how many numbers do I have in that thing, like, you know?", "session_id": 9450, "sequence_id": 250, "annotations": []}
{"role": "student", "content": "4", "session_id": 9450, "sequence_id": 251, "annotations": []}
{"role": "volunteer", "content": "Uh, are you sure about pork? So I ate um ****, oh sorry, what, uh, I, uh, it's, I'm pretty sure, yeah, it's 3 numbers because uh I ate 3 in the morning", "session_id": 9450, "sequence_id": 252, "annotations": []}
{"role": "volunteer", "content": "4 in the evening.", "session_id": 9450, "sequence_id": 253, "annotations": []}
{"role": "volunteer", "content": "uh, I ate 30 in the morning, I, sorry, I ate 3 in the morning, 4 in the evening and uh 5 at night.", "session_id": 9450, "sequence_id": 254, "annotations": []}
{"role": "volunteer", "content": "So that means it would uh it would add up, it would be 3 numbers.", "session_id": 9450, "sequence_id": 255, "annotations": []}
{"role": "volunteer", "content": "blue", "session_id": 9450, "sequence_id": 256, "annotations": []}
{"role": "volunteer", "content": "Hello", "session_id": 9450, "sequence_id": 257, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 9450, "sequence_id": 258, "annotations": []}
{"role": "volunteer", "content": "yeah", "session_id": 9450, "sequence_id": 259, "annotations": []}
{"role": "volunteer", "content": "yeah", "session_id": 9450, "sequence_id": 260, "annotations": []}
{"role": "volunteer", "content": "So, can you hear me?", "session_id": 9450, "sequence_id": 261, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 9450, "sequence_id": 262, "annotations": []}
{"role": "volunteer", "content": "Yeah, OK. So, uh, since there were 3 values, so, uh, like since, uh, the final part of the question says, how many miles did Noah and walk in 3 days. So how many, uh, do you think 7 is included?", "session_id": 9450, "sequence_id": 263, "annotations": [{"pii_type": "PERSON", "surrogate": "Noah", "start": 125, "end": 129}]}
{"role": "volunteer", "content": "Oh", "session_id": 9450, "sequence_id": 264, "annotations": []}
{"role": "volunteer", "content": "Yeah, my thing is not working. My microphone is not working.", "session_id": 9450, "sequence_id": 265, "annotations": []}
{"role": "volunteer", "content": "It's like saying great stuff", "session_id": 9450, "sequence_id": 266, "annotations": []}
{"role": "volunteer", "content": "But what? Why is this? It's saying weird stuff.", "session_id": 9450, "sequence_id": 267, "annotations": []}
{"role": "volunteer", "content": "but it doesn't", "session_id": 9450, "sequence_id": 268, "annotations": []}
{"role": "volunteer", "content": "not", "session_id": 9450, "sequence_id": 269, "annotations": []}
{"role": "volunteer", "content": "Hm", "session_id": 9450, "sequence_id": 270, "annotations": []}
{"role": "volunteer", "content": "uh,", "session_id": 9450, "sequence_id": 271, "annotations": []}
{"role": "volunteer", "content": "Are you here", "session_id": 9450, "sequence_id": 272, "annotations": []}
{"role": "volunteer", "content": "Hello", "session_id": 9450, "sequence_id": 273, "annotations": []}
{"role": "volunteer", "content": "are you here", "session_id": 9450, "sequence_id": 274, "annotations": []}
{"role": "volunteer", "content": "Hey", "session_id": 9450, "sequence_id": 275, "annotations": []}
{"role": "volunteer", "content": "Im going to end the session but you start a new one when your ready", "session_id": 9450, "sequence_id": 276, "annotations": []}
{"role": "volunteer", "content": "hell Maria", "session_id": 9482, "sequence_id": 0, "annotations": [{"pii_type": "PERSON", "surrogate": "Maria", "start": 5, "end": 10}]}
{"role": "volunteer", "content": "bello*", "session_id": 9482, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "hello*", "session_id": 9482, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "hi", "session_id": 9482, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "We can solve this problem via factoring", "session_id": 9482, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "I need to use long division to solve it", "session_id": 9482, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "Okay, we can do that too!", "session_id": 9482, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "So that is our final answer", "session_id": 9482, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "We take the constant multiplying the variable, and take the negative of it in order to cancel out the terms. We repeat until we get something we cannot divide, and then put it as the remainder, or put it over the divisor.", "session_id": 9482, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "Anything else I can help you with?", "session_id": 9482, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "I have another problem, that I have to use long division with", "session_id": 9482, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "Okay, we can do that", "session_id": 9482, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "Sorry can you put it back up?", "session_id": 9482, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "so this is the same concept, but larger", "session_id": 9482, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "Try dividing the first term", "session_id": 9482, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "Just like I did in the last problem", "session_id": 9482, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "I don't really understand how to, could you explain?", "session_id": 9482, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "Yes of course", "session_id": 9482, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "So take the first term", "session_id": 9482, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "which here is -2n^3", "session_id": 9482, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "since we are dividing by n, we have to reduce the exponent by 1 in order to multiply by n (multiplication is the opposite of division)", "session_id": 9482, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "so -2n^3/n is -2n^2", "session_id": 9482, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "now we multiply by the divisor, which is n-7", "session_id": 9482, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "now we subtract", "session_id": 9482, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "now we repeat", "session_id": 9482, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "-4n^2/n is -4n", "session_id": 9482, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "-4n(n-7) is -4n^2+28n", "session_id": 9482, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "we just repeat until we arrive at a constant", "session_id": 9482, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "So -2n^2-4n-2-(2/(n-7)) is our final answer", "session_id": 9482, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "Is that clearer?", "session_id": 9482, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "yes, thank you", "session_id": 9482, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "No problem", "session_id": 9482, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "Anything else you want me to go over?", "session_id": 9482, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "no thanks, I'm good now I think", "session_id": 9482, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "Okay", "session_id": 9482, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "Have a good day!", "session_id": 9482, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "Hey, I'm Ben, how are you?", "session_id": 9498, "sequence_id": 0, "annotations": [{"pii_type": "PERSON", "surrogate": "Ben", "start": 9, "end": 12}]}
{"role": "student", "content": "Good how about you?", "session_id": 9498, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "I'm good, what can I help you with today?", "session_id": 9498, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "Feel free to just put it up or type a problem into chat when you want", "session_id": 9498, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "Im trying to find the vertex of x^2 +6x+5", "session_id": 9498, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "Okay, how do you think we should do this?\n\nAlso, if you ever don't know or want clarification on anything, just let me know", "session_id": 9498, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "What should we start with?", "session_id": 9498, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "the 5?", "session_id": 9498, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "moving it over", "session_id": 9498, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "Hmm, not exactly, but what did you have in mind afterwards?", "session_id": 9498, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "taking half the 6 which would be 3 then squaring it to make it 9", "session_id": 9498, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "so x^2+6x+9=-5?", "session_id": 9498, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "I see, so you wanted to \"complete the square\" for this equation. However, completing the square helps us solve for the roots/zeroes.", "session_id": 9498, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "Since it's asking us to find the vertex, we can actually just apply the vertex formula to figure out our x-value for our vertex.", "session_id": 9498, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "what would be the formula?", "session_id": 9498, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "-b/2a is our vertex formula. But remember, it only tells you the x-coordinate of your vertex", "session_id": 9498, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "So, here what is our a and b value?", "session_id": 9498, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "1 and 6?", "session_id": 9498, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "Great, so if we plug these into the vertex formula, what do we get for our x-value?", "session_id": 9498, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "-3", "session_id": 9498, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "But that is only our x-value right?", "session_id": 9498, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "How can we figure out the y-value at x=3?", "session_id": 9498, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "x = -3*", "session_id": 9498, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "i dont know?", "session_id": 9498, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "Always remember, whenever I have a function like \ny = 2x for example, any value x I plug in, will return me a corresponding y-value.", "session_id": 9498, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "So, if I had y = 2x, and I wanted to figure out what y-value corresponds to x = 1, I could just plug in 1 for x right?", "session_id": 9498, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "right", "session_id": 9498, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "So I could do the same here, and plug in -3 for x to figure out my y-value right?", "session_id": 9498, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "do we plug it in into the original equation then?", "session_id": 9498, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "Yes! Because that is the equation that gives us our y-value based on the x we plug in", "session_id": 9498, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "-4 yes?", "session_id": 9498, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "Great, so what is the coordinate of our vertex?", "session_id": 9498, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "-3.-4", "session_id": 9498, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "Perfect! Do you have another question you want to try?", "session_id": 9498, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "wait so what would have been the difference with completing the square?", "session_id": 9498, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "Completing the square helps us figure out the zeroes of the function, which is where it crosses the x-axis", "session_id": 9498, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "This function is going to be a parabola shape right?", "session_id": 9498, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "right", "session_id": 9498, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "It's going to look something like that right?", "session_id": 9498, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "indeed", "session_id": 9498, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "Completing the square will help us solve for those points", "session_id": 9498, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "can you do that?", "session_id": 9498, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "The vertex however, is the lowest point on the graph", "session_id": 9498, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "Yes, of course! You want to try completing the square to find them?", "session_id": 9498, "sequence_id": 43, "annotations": []}
{"role": "student", "content": "please and thank you", "session_id": 9498, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "Okay, so what do you want to do first?", "session_id": 9498, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "move the 5", "session_id": 9498, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "then take half of 6 which is 3 then squaring it to make it 9", "session_id": 9498, "sequence_id": 47, "annotations": []}
{"role": "student", "content": "so x^2+6x+9=-5", "session_id": 9498, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "Great! But notice, you added that 9 onto the left side right? Doesn't that mean you must also add it to right side to maintain equality?", "session_id": 9498, "sequence_id": 49, "annotations": []}
{"role": "student", "content": "ouuu right", "session_id": 9498, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "So we will have a +9 here too right?", "session_id": 9498, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "Now what can we do?", "session_id": 9498, "sequence_id": 52, "annotations": []}
{"role": "student", "content": "like terms", "session_id": 9498, "sequence_id": 53, "annotations": []}
{"role": "student", "content": "so 4", "session_id": 9498, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "Now what?", "session_id": 9498, "sequence_id": 55, "annotations": []}
{"role": "student", "content": "this is where i kind of get lost", "session_id": 9498, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "Okay, that's fine, this is probably a pretty common point for that honestly.", "session_id": 9498, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "Could you tell me what \n(x + 1) (x + 1) is?", "session_id": 9498, "sequence_id": 58, "annotations": []}
{"role": "student", "content": "x^2+2x+1", "session_id": 9498, "sequence_id": 59, "annotations": []}
{"role": "student", "content": "OHHHHH", "session_id": 9498, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "Great! Did you do that by memory perchance or you solved it out?", "session_id": 9498, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "EXACTLY!", "session_id": 9498, "sequence_id": 62, "annotations": []}
{"role": "student", "content": "LOL", "session_id": 9498, "sequence_id": 63, "annotations": []}
{"role": "student", "content": "Factoring", "session_id": 9498, "sequence_id": 64, "annotations": []}
{"role": "student", "content": "so like uh", "session_id": 9498, "sequence_id": 65, "annotations": []}
{"role": "student", "content": "(x+3)(x+3)", "session_id": 9498, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "Great!", "session_id": 9498, "sequence_id": 67, "annotations": []}
{"role": "student", "content": "hooray", "session_id": 9498, "sequence_id": 68, "annotations": []}
{"role": "student", "content": "wait", "session_id": 9498, "sequence_id": 69, "annotations": []}
{"role": "student", "content": "arent you able to combine them", "session_id": 9498, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "And this is a perfect square number too, since we are multiplying two of the same thing together right?", "session_id": 9498, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "Yes we can, how so?", "session_id": 9498, "sequence_id": 72, "annotations": []}
{"role": "student", "content": "so (x+3)^2?", "session_id": 9498, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "Now, we have \"completed the square.\"", "session_id": 9498, "sequence_id": 74, "annotations": []}
{"role": "volunteer", "content": "What next?", "session_id": 9498, "sequence_id": 75, "annotations": []}
{"role": "student", "content": "move the 4 over..?", "session_id": 9498, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "Not exactly, if I tell you\nx^2 = 9, how do you solve for x?", "session_id": 9498, "sequence_id": 77, "annotations": []}
{"role": "student", "content": "square root", "session_id": 9498, "sequence_id": 78, "annotations": []}
{"role": "student", "content": "so 3", "session_id": 9498, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "Great, so I have a perfect square on the left, so I can take a square of the left to remove the ^2 right?", "session_id": 9498, "sequence_id": 80, "annotations": []}
{"role": "student", "content": "right", "session_id": 9498, "sequence_id": 81, "annotations": []}
{"role": "student", "content": "would it leave you with a + and -?", "session_id": 9498, "sequence_id": 82, "annotations": []}
{"role": "volunteer", "content": "Also, always remember, when you take the square root of a number, it is both the positive AND negative version of that number", "session_id": 9498, "sequence_id": 83, "annotations": []}
{"role": "volunteer", "content": "Yes, exactly I was literally just typing that out lol", "session_id": 9498, "sequence_id": 84, "annotations": []}
{"role": "student", "content": "lol", "session_id": 9498, "sequence_id": 85, "annotations": []}
{"role": "volunteer", "content": "But, going back to our other question, how can we solve for x now in\n\n(x+3)^2 = 4", "session_id": 9498, "sequence_id": 86, "annotations": []}
{"role": "student", "content": "square root both sides", "session_id": 9498, "sequence_id": 87, "annotations": []}
{"role": "student", "content": "+ and - 2", "session_id": 9498, "sequence_id": 88, "annotations": []}
{"role": "student", "content": "then subtract 3", "session_id": 9498, "sequence_id": 89, "annotations": []}
{"role": "student", "content": "so", "session_id": 9498, "sequence_id": 90, "annotations": []}
{"role": "student", "content": "-5 and -1", "session_id": 9498, "sequence_id": 91, "annotations": []}
{"role": "volunteer", "content": "So those are the x-values of our zeroes for this function.", "session_id": 9498, "sequence_id": 92, "annotations": []}
{"role": "student", "content": "question", "session_id": 9498, "sequence_id": 93, "annotations": []}
{"role": "volunteer", "content": "Yes?", "session_id": 9498, "sequence_id": 94, "annotations": []}
{"role": "student", "content": "so for the original equation", "session_id": 9498, "sequence_id": 95, "annotations": []}
{"role": "student", "content": "if you factor that out it gives you (x+1)(x+5), is that considered like a short cut?", "session_id": 9498, "sequence_id": 96, "annotations": []}
{"role": "volunteer", "content": "Not necessarily a shortcut, some equations you can just factor them out.", "session_id": 9498, "sequence_id": 97, "annotations": []}
{"role": "student", "content": "oo", "session_id": 9498, "sequence_id": 98, "annotations": []}
{"role": "volunteer", "content": "Because what if the equation was \nx^2 + 6x + 11\nyou can't factor it out now can you?", "session_id": 9498, "sequence_id": 99, "annotations": []}
{"role": "volunteer", "content": "So you would have to solve for it manually.", "session_id": 9498, "sequence_id": 100, "annotations": []}
{"role": "volunteer", "content": "But for this equation, completing the square is definitely extra steps", "session_id": 9498, "sequence_id": 101, "annotations": []}
{"role": "student", "content": "good to know", "session_id": 9498, "sequence_id": 102, "annotations": []}
{"role": "student", "content": "another question", "session_id": 9498, "sequence_id": 103, "annotations": []}
{"role": "student", "content": "disregarding this problem", "session_id": 9498, "sequence_id": 104, "annotations": []}
{"role": "volunteer", "content": "Yes?", "session_id": 9498, "sequence_id": 105, "annotations": []}
{"role": "student", "content": "okay how do you work your way backwards from i answers", "session_id": 9498, "sequence_id": 106, "annotations": []}
{"role": "student", "content": "like", "session_id": 9498, "sequence_id": 107, "annotations": []}
{"role": "volunteer", "content": "Imaginary answers?", "session_id": 9498, "sequence_id": 108, "annotations": []}
{"role": "student", "content": "THAT", "session_id": 9498, "sequence_id": 109, "annotations": []}
{"role": "volunteer", "content": "You want to figure out the original equation from the roots to an equation when tehy are imaginary?", "session_id": 9498, "sequence_id": 110, "annotations": []}
{"role": "student", "content": "yes", "session_id": 9498, "sequence_id": 111, "annotations": []}
{"role": "volunteer", "content": "Let's think , if I have x = 3, 5 what is my original equation?", "session_id": 9498, "sequence_id": 112, "annotations": []}
{"role": "student", "content": "(x-3)(x-5) so x^2-8x+15", "session_id": 9498, "sequence_id": 113, "annotations": []}
{"role": "volunteer", "content": "So, we just move the roots directly into factors right?", "session_id": 9498, "sequence_id": 114, "annotations": []}
{"role": "volunteer", "content": "But, I'm assuming you mean you want to convert it back to a normal number without i", "session_id": 9498, "sequence_id": 115, "annotations": []}
{"role": "volunteer", "content": "So, what is i equal to?", "session_id": 9498, "sequence_id": 116, "annotations": []}
{"role": "student", "content": "oh no", "session_id": 9498, "sequence_id": 117, "annotations": []}
{"role": "student", "content": "all ik is that i^2 is -1", "session_id": 9498, "sequence_id": 118, "annotations": []}
{"role": "volunteer", "content": "That's fine, that's a great area to start too", "session_id": 9498, "sequence_id": 119, "annotations": []}
{"role": "volunteer", "content": "Okay, so, how do you solve\nx^2 = 9", "session_id": 9498, "sequence_id": 120, "annotations": []}
{"role": "student", "content": "square root", "session_id": 9498, "sequence_id": 121, "annotations": []}
{"role": "student", "content": "so it equals i?", "session_id": 9498, "sequence_id": 122, "annotations": []}
{"role": "student", "content": "ooo", "session_id": 9498, "sequence_id": 123, "annotations": []}
{"role": "student", "content": "interesting", "session_id": 9498, "sequence_id": 124, "annotations": []}
{"role": "volunteer", "content": "Notice now too, why is radical -1 an imaginary number?", "session_id": 9498, "sequence_id": 125, "annotations": []}
{"role": "volunteer", "content": "What happens when you square a negative number?", "session_id": 9498, "sequence_id": 126, "annotations": []}
{"role": "volunteer", "content": "What about a positive number?", "session_id": 9498, "sequence_id": 127, "annotations": []}
{"role": "student", "content": "the i comes out if its negative", "session_id": 9498, "sequence_id": 128, "annotations": []}
{"role": "volunteer", "content": "I mean, when I have a negative number like -4 for example right?", "session_id": 9498, "sequence_id": 129, "annotations": []}
{"role": "student", "content": "right", "session_id": 9498, "sequence_id": 130, "annotations": []}
{"role": "volunteer", "content": "If I square -4\nI get 16 right?\n\nIf I square 5\nI get 25 right?", "session_id": 9498, "sequence_id": 131, "annotations": []}
{"role": "volunteer", "content": "So, no matter what, if I square a number, the result if ALWAYS positive", "session_id": 9498, "sequence_id": 132, "annotations": []}
{"role": "volunteer", "content": "Now, think about what taking a square root means.\n\nIf I take the square root of 9\nIt tells me -3 and 3 squared equal to 9 right?", "session_id": 9498, "sequence_id": 133, "annotations": []}
{"role": "student", "content": "right", "session_id": 9498, "sequence_id": 134, "annotations": []}
{"role": "volunteer", "content": "So the square root tells me, what number can I square to get the number inside this square root symbol right?", "session_id": 9498, "sequence_id": 135, "annotations": []}
{"role": "student", "content": "yes", "session_id": 9498, "sequence_id": 136, "annotations": []}
{"role": "volunteer", "content": "But if squaring a negative OR positive ALWAYS gives a POSITIVE number.", "session_id": 9498, "sequence_id": 137, "annotations": []}
{"role": "volunteer", "content": "Then how could the number inside my square root be negative?", "session_id": 9498, "sequence_id": 138, "annotations": []}
{"role": "volunteer", "content": "It would be like an imaginary number now wouldn't it?", "session_id": 9498, "sequence_id": 139, "annotations": []}
{"role": "volunteer", "content": "Because there is no existing number that can be squared to make a negative", "session_id": 9498, "sequence_id": 140, "annotations": []}
{"role": "volunteer", "content": "Anyways, I have gone quite off topic from what you asked", "session_id": 9498, "sequence_id": 141, "annotations": []}
{"role": "student", "content": "lol", "session_id": 9498, "sequence_id": 142, "annotations": []}
{"role": "volunteer", "content": "But i is equal to radical -1", "session_id": 9498, "sequence_id": 143, "annotations": []}
{"role": "volunteer", "content": "So, looking back at our old equation", "session_id": 9498, "sequence_id": 144, "annotations": []}
{"role": "volunteer", "content": "I can rewrite it as", "session_id": 9498, "sequence_id": 145, "annotations": []}
{"role": "volunteer", "content": "right?", "session_id": 9498, "sequence_id": 146, "annotations": []}
{"role": "student", "content": "right", "session_id": 9498, "sequence_id": 147, "annotations": []}
{"role": "volunteer", "content": "But I can also rewrite 3 as radical 9\nand 5 as radical 25 right?", "session_id": 9498, "sequence_id": 148, "annotations": []}
{"role": "student", "content": "right", "session_id": 9498, "sequence_id": 149, "annotations": []}
{"role": "volunteer", "content": "So that is our original equation from hte imaginary roots", "session_id": 9498, "sequence_id": 150, "annotations": []}
{"role": "volunteer", "content": "This isn't something you will get asked to do though", "session_id": 9498, "sequence_id": 151, "annotations": []}
{"role": "volunteer", "content": "Actually, I can multiply this out too now", "session_id": 9498, "sequence_id": 152, "annotations": []}
{"role": "volunteer", "content": "Nevermind, it does nothing for us here", "session_id": 9498, "sequence_id": 153, "annotations": []}
{"role": "volunteer", "content": "Is there any other question you'd like to try though?", "session_id": 9498, "sequence_id": 154, "annotations": []}
{"role": "student", "content": "yes actually, finding domain V.A H.A S.A Holes", "session_id": 9498, "sequence_id": 155, "annotations": []}
{"role": "student", "content": "we have x^3+4x^2-5x / x^2+3x-4", "session_id": 9498, "sequence_id": 156, "annotations": []}
{"role": "volunteer", "content": "I am going to clear that out is that fine? Or do you want me to leave that up and clear out the first question we did", "session_id": 9498, "sequence_id": 157, "annotations": []}
{"role": "student", "content": "you can clear it out", "session_id": 9498, "sequence_id": 158, "annotations": []}
{"role": "volunteer", "content": "Okay, what do you want to find here? Domain, discontinuities, or all of the above", "session_id": 9498, "sequence_id": 159, "annotations": []}
{"role": "student", "content": "all of the above lol", "session_id": 9498, "sequence_id": 160, "annotations": []}
{"role": "student", "content": "okay so we get to it being factored right", "session_id": 9498, "sequence_id": 161, "annotations": []}
{"role": "volunteer", "content": "Great, I was just about to say that, how can we factor them", "session_id": 9498, "sequence_id": 162, "annotations": []}
{"role": "student", "content": "(x-1)(x+5) / (x-1)(x+4)", "session_id": 9498, "sequence_id": 163, "annotations": []}
{"role": "student", "content": "X", "session_id": 9498, "sequence_id": 164, "annotations": []}
{"role": "student", "content": "FIRST FACTOR", "session_id": 9498, "sequence_id": 165, "annotations": []}
{"role": "student", "content": "lol", "session_id": 9498, "sequence_id": 166, "annotations": []}
{"role": "volunteer", "content": "Great! Nice catch lol", "session_id": 9498, "sequence_id": 167, "annotations": []}
{"role": "volunteer", "content": "Okay, now we have factors on the top and the bottom, is there anything we can eliminate?", "session_id": 9498, "sequence_id": 168, "annotations": []}
{"role": "student", "content": "x-1", "session_id": 9498, "sequence_id": 169, "annotations": []}
{"role": "student", "content": "so thats a hole..?", "session_id": 9498, "sequence_id": 170, "annotations": []}
{"role": "volunteer", "content": "What does that tell us?", "session_id": 9498, "sequence_id": 171, "annotations": []}
{"role": "volunteer", "content": "Great, it's a hole because we crossed it out", "session_id": 9498, "sequence_id": 172, "annotations": []}
{"role": "student", "content": "but", "session_id": 9498, "sequence_id": 173, "annotations": []}
{"role": "student", "content": "when you write it out", "session_id": 9498, "sequence_id": 174, "annotations": []}
{"role": "student", "content": "is it not equal to?", "session_id": 9498, "sequence_id": 175, "annotations": []}
{"role": "volunteer", "content": "Well, I can plug in every other value except this one right?", "session_id": 9498, "sequence_id": 176, "annotations": []}
{"role": "student", "content": "right", "session_id": 9498, "sequence_id": 177, "annotations": []}
{"role": "volunteer", "content": "So I just want to exclude this one value", "session_id": 9498, "sequence_id": 178, "annotations": []}
{"role": "volunteer", "content": "What can we do next?", "session_id": 9498, "sequence_id": 179, "annotations": []}
{"role": "student", "content": "for domain its all real numbers?", "session_id": 9498, "sequence_id": 180, "annotations": []}
{"role": "student", "content": "cause it would go left and right", "session_id": 9498, "sequence_id": 181, "annotations": []}
{"role": "student", "content": "forever", "session_id": 9498, "sequence_id": 182, "annotations": []}
{"role": "volunteer", "content": "Not exactly, what numbers can we not plug in for x?", "session_id": 9498, "sequence_id": 183, "annotations": []}
{"role": "student", "content": "1", "session_id": 9498, "sequence_id": 184, "annotations": []}
{"role": "volunteer", "content": "What else?", "session_id": 9498, "sequence_id": 185, "annotations": []}
{"role": "student", "content": "-4?", "session_id": 9498, "sequence_id": 186, "annotations": []}
{"role": "volunteer", "content": "Great, because if we plug those in, the bottom side of our fraction becomes a 0 altogether right?", "session_id": 9498, "sequence_id": 187, "annotations": []}
{"role": "student", "content": "right", "session_id": 9498, "sequence_id": 188, "annotations": []}
{"role": "volunteer", "content": "And you cannot divide by 0, so there will be a discontinuity there", "session_id": 9498, "sequence_id": 189, "annotations": []}
{"role": "volunteer", "content": "So, we write our domain as\nx is not equal to 1 or -4", "session_id": 9498, "sequence_id": 190, "annotations": []}
{"role": "student", "content": "we need to write the fancy R (all right numbers) as the domain then now whatever the bottom 2 numbers are", "session_id": 9498, "sequence_id": 191, "annotations": []}
{"role": "student", "content": "would it be right to say that?", "session_id": 9498, "sequence_id": 192, "annotations": []}
{"role": "volunteer", "content": "Probably, I'm gonna be honest, I don't know of this fancy R, but I do know, if I were asked this question, I would just write the domain as\nx is not equal to -4 or 1", "session_id": 9498, "sequence_id": 193, "annotations": []}
{"role": "volunteer", "content": "So, I'm assuming you don't need the fancy R", "session_id": 9498, "sequence_id": 194, "annotations": []}
{"role": "volunteer", "content": "Ah, I just searched it up", "session_id": 9498, "sequence_id": 195, "annotations": []}
{"role": "volunteer", "content": "You can't write this R", "session_id": 9498, "sequence_id": 196, "annotations": []}
{"role": "student", "content": "lol love handy dandy google", "session_id": 9498, "sequence_id": 197, "annotations": []}
{"role": "volunteer", "content": "The R specifies all real numbers", "session_id": 9498, "sequence_id": 198, "annotations": []}
{"role": "student", "content": "right", "session_id": 9498, "sequence_id": 199, "annotations": []}
{"role": "volunteer", "content": "But 1, and -4 are real numbers right?", "session_id": 9498, "sequence_id": 200, "annotations": []}
{"role": "volunteer", "content": "And you can't plug those in, so our domain is just\nx is not equal to -4 or 1", "session_id": 9498, "sequence_id": 201, "annotations": []}
{"role": "student", "content": "he says it as all real numbers EXCEPT for the numbers so here it'd be 1 and -4", "session_id": 9498, "sequence_id": 202, "annotations": []}
{"role": "volunteer", "content": "I just learned from ChatGPT there is a notation for it to include excluded numbers", "session_id": 9498, "sequence_id": 203, "annotations": []}
{"role": "volunteer", "content": "So, you definitely can do it that way", "session_id": 9498, "sequence_id": 204, "annotations": []}
{"role": "volunteer", "content": "So, that would also be your domain", "session_id": 9498, "sequence_id": 205, "annotations": []}
{"role": "student", "content": "lol i feel like he excludes like the brackets and the slash", "session_id": 9498, "sequence_id": 206, "annotations": []}
{"role": "student", "content": "all he does is add the R in front", "session_id": 9498, "sequence_id": 207, "annotations": []}
{"role": "student", "content": "but thats probably the proper way", "session_id": 9498, "sequence_id": 208, "annotations": []}
{"role": "volunteer", "content": "Do you mean your teacher does it that way?", "session_id": 9498, "sequence_id": 209, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 9498, "sequence_id": 210, "annotations": []}
{"role": "volunteer", "content": "I'm not sure, I never used this symbol, but you can also just write \"all real numbers\" as your domain if you want", "session_id": 9498, "sequence_id": 211, "annotations": []}
{"role": "volunteer", "content": "When it is all real numbers, here you could just do \nx is not equal to -4 or 1 though", "session_id": 9498, "sequence_id": 212, "annotations": []}
{"role": "volunteer", "content": "Alright, what other discontinuities do we have in this equation?", "session_id": 9498, "sequence_id": 213, "annotations": []}
{"role": "student", "content": "vertical ascentote", "session_id": 9498, "sequence_id": 214, "annotations": []}
{"role": "student", "content": "which would be -4 since the hole is 1 yes?", "session_id": 9498, "sequence_id": 215, "annotations": []}
{"role": "volunteer", "content": "Yes, you can't cross out this (x+4) so it would be an asymptote instead", "session_id": 9498, "sequence_id": 216, "annotations": []}
{"role": "volunteer", "content": "And that is all for this function right?", "session_id": 9498, "sequence_id": 217, "annotations": []}
{"role": "student", "content": "now we have a SA since its top heavy", "session_id": 9498, "sequence_id": 218, "annotations": []}
{"role": "student", "content": "looking at the original equation", "session_id": 9498, "sequence_id": 219, "annotations": []}
{"role": "volunteer", "content": "So, how can you figure out where that is?", "session_id": 9498, "sequence_id": 220, "annotations": []}
{"role": "student", "content": "orignal equation looking at the first terms on the top and bottom", "session_id": 9498, "sequence_id": 221, "annotations": []}
{"role": "student", "content": "exponents", "session_id": 9498, "sequence_id": 222, "annotations": []}
{"role": "student", "content": "Wait", "session_id": 9498, "sequence_id": 223, "annotations": []}
{"role": "student", "content": "wrong question", "session_id": 9498, "sequence_id": 224, "annotations": []}
{"role": "student", "content": "i reread the question i actually dont know how to find it besides plugging it into the calculator, but we can't use it for this", "session_id": 9498, "sequence_id": 225, "annotations": []}
{"role": "volunteer", "content": "That's fine, for slant asymptotes we can figure out where they are by doing long division for our equation.", "session_id": 9498, "sequence_id": 226, "annotations": []}
{"role": "volunteer", "content": "Or synthetic division if you'd like", "session_id": 9498, "sequence_id": 227, "annotations": []}
{"role": "student", "content": "taking the simplified equation?", "session_id": 9498, "sequence_id": 228, "annotations": []}
{"role": "volunteer", "content": "Well, all I did was cross out (x-1) right?", "session_id": 9498, "sequence_id": 229, "annotations": []}
{"role": "student", "content": "right", "session_id": 9498, "sequence_id": 230, "annotations": []}
{"role": "volunteer", "content": "So these equations are the exact same thing, except in one of them you can tell that x can't be equal to 1 while in the other you can", "session_id": 9498, "sequence_id": 231, "annotations": []}
{"role": "volunteer", "content": "Let's use synthetic division to divide this out just to save some time", "session_id": 9498, "sequence_id": 232, "annotations": []}
{"role": "student", "content": "kk", "session_id": 9498, "sequence_id": 233, "annotations": []}
{"role": "volunteer", "content": "Is everything alright with what I just did?", "session_id": 9498, "sequence_id": 234, "annotations": []}
{"role": "student", "content": "yeah im following", "session_id": 9498, "sequence_id": 235, "annotations": []}
{"role": "volunteer", "content": "Now, what is our slant asymptote?", "session_id": 9498, "sequence_id": 236, "annotations": []}
{"role": "student", "content": "x+1?", "session_id": 9498, "sequence_id": 237, "annotations": []}
{"role": "volunteer", "content": "Great! So we just disregard the remainder from our division, and everything else is our slant asymptote equation", "session_id": 9498, "sequence_id": 238, "annotations": []}
{"role": "student", "content": "i actually didn't know how to write the remainder so thats something new lol", "session_id": 9498, "sequence_id": 239, "annotations": []}
{"role": "volunteer", "content": "Oh lol", "session_id": 9498, "sequence_id": 240, "annotations": []}
{"role": "volunteer", "content": "You just leave the remainder undivided though.", "session_id": 9498, "sequence_id": 241, "annotations": []}
{"role": "volunteer", "content": "We couldn't divide -4 by x+4, so we just left it as \n-4 / (x+4)", "session_id": 9498, "sequence_id": 242, "annotations": []}
{"role": "volunteer", "content": "Now, that is all for our equation right?", "session_id": 9498, "sequence_id": 243, "annotations": []}
{"role": "student", "content": "yes", "session_id": 9498, "sequence_id": 244, "annotations": []}
{"role": "volunteer", "content": "Great!", "session_id": 9498, "sequence_id": 245, "annotations": []}
{"role": "volunteer", "content": "Unfortunately, I do have to go now, but, to summarize\n\nTo find the vertex, use your vertex formula to find your x-value, then plug that back in to get your y-value\n\nCompleting the square helps you find the roots/zeroes of your function\n\nCrossing out a factor in your numerator and denominator gives you a hole in your function\n\nYour vertical asymptote is where your denominator is equal to zero\n\nYour slant asymptote is everything but the remainder from when you divide an equation.\n\nAnd i is equal to radical -1", "session_id": 9498, "sequence_id": 246, "annotations": []}
{"role": "volunteer", "content": "Is there any questions on anything you may want me to clarify that we didn't go through today?", "session_id": 9498, "sequence_id": 247, "annotations": []}
{"role": "student", "content": "I think I should be good", "session_id": 9498, "sequence_id": 248, "annotations": []}
{"role": "volunteer", "content": "Perfect! Alright, whenever you are ready, you can just leave the session.", "session_id": 9498, "sequence_id": 249, "annotations": []}
{"role": "volunteer", "content": "Have a good day!", "session_id": 9498, "sequence_id": 250, "annotations": []}
{"role": "student", "content": "Alright, thank you for your help!", "session_id": 9498, "sequence_id": 251, "annotations": []}
{"role": "volunteer", "content": "Of course, anytime!", "session_id": 9498, "sequence_id": 252, "annotations": []}
{"role": "volunteer", "content": "hi Jamie", "session_id": 9562, "sequence_id": 0, "annotations": [{"pii_type": "PERSON", "surrogate": "Jamie", "start": 3, "end": 8}]}
{"role": "student", "content": "hello", "session_id": 9562, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "can i get help on a few problems today", "session_id": 9562, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "it's hard to see the screensharing image and use chat", "session_id": 9562, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "uploaded images are easier to manipulate", "session_id": 9562, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "so do you want me to use the chat", "session_id": 9562, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "let me know what is best", "session_id": 9562, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "what's best is to upload an image instead of screen sharing", "session_id": 9562, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "can you do that?", "session_id": 9562, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "ok", "session_id": 9562, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "is that good?", "session_id": 9562, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "much better", "session_id": 9562, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "#13?", "session_id": 9562, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "yes", "session_id": 9562, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "it has a graph to the left if you need something to reflect on", "session_id": 9562, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "is that a pun?", "session_id": 9562, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "pun?", "session_id": 9562, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "\"something to reflect on\"", "session_id": 9562, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "that means to think about", "session_id": 9562, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "and the problem is about reflection", "session_id": 9562, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "pun, get it?", "session_id": 9562, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "oh yeah hahaha", "session_id": 9562, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "your answer was reflected across y=-x", "session_id": 9562, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "why do you think that?", "session_id": 9562, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "i guess because the line of reflection is y=x but its negative", "session_id": 9562, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "so i guess i thought the line of reflection was a negative line it would be y=-x", "session_id": 9562, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "you think the shape is reflected across the green line I just drew?", "session_id": 9562, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "no i guess it only y=x", "session_id": 9562, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "that would be the purple line I just drew", "session_id": 9562, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "wait no it reflecting over the x-axis", "session_id": 9562, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "right, x-axis", "session_id": 9562, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "what is the equation for x-axis?", "session_id": 9562, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "im not sure what it is", "session_id": 9562, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "do they want equation, like you filled in, or just words?", "session_id": 9562, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "i guess equation", "session_id": 9562, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "under the drawing it says Words, then it says Function", "session_id": 9562, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "then words", "session_id": 9562, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "i apologize", "session_id": 9562, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "(and if equation, the x-axis is y=0)", "session_id": 9562, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "ok that worked for solving  the blank next to \"R\" R(y=0)", "session_id": 9562, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "ohhhhhhh", "session_id": 9562, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "I was trying to figure out what they wanted there", "session_id": 9562, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "so i guess the part that says wants words", "session_id": 9562, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "never saw that \"R notation) before", "session_id": 9562, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "first answer should be x-axis", "session_id": 9562, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "me neither this is the first time ive seen this", "session_id": 9562, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "it said it didnt work", "session_id": 9562, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "do you have an example of what they are looking for?", "session_id": 9562, "sequence_id": 47, "annotations": []}
{"role": "student", "content": "I dont think so", "session_id": 9562, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "can you upload an image of exactly what you answered?", "session_id": 9562, "sequence_id": 49, "annotations": []}
{"role": "student", "content": "i just added it", "session_id": 9562, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "I don't see it. Just the original upload.", "session_id": 9562, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "oh, there it is", "session_id": 9562, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "why a vertical line for the first answer?", "session_id": 9562, "sequence_id": 53, "annotations": []}
{"role": "student", "content": "oh thats just the type bar", "session_id": 9562, "sequence_id": 54, "annotations": []}
{"role": "student", "content": "dont mind that", "session_id": 9562, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "I don't see the words x-axis", "session_id": 9562, "sequence_id": 56, "annotations": []}
{"role": "student", "content": "well i tried it and put exactly x-axis", "session_id": 9562, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "why don't I see that?", "session_id": 9562, "sequence_id": 58, "annotations": []}
{"role": "student", "content": "because it deleted it", "session_id": 9562, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "I don't know what else you can put", "session_id": 9562, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "the x-axis", "session_id": 9562, "sequence_id": 61, "annotations": []}
{"role": "student", "content": "thats it", "session_id": 9562, "sequence_id": 62, "annotations": []}
{"role": "student", "content": "it wanted me to put \"the\" in front of the x-axis", "session_id": 9562, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "x-axis is wrong, but the x-axis is right?", "session_id": 9562, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "is this math or grammar?", "session_id": 9562, "sequence_id": 65, "annotations": []}
{"role": "student", "content": "yes", "session_id": 9562, "sequence_id": 66, "annotations": []}
{"role": "student", "content": "i know right", "session_id": 9562, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "I'm afraid of #14, now", "session_id": 9562, "sequence_id": 68, "annotations": []}
{"role": "student", "content": "its alright i already solved it", "session_id": 9562, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "y=x worked for the words part?", "session_id": 9562, "sequence_id": 70, "annotations": []}
{"role": "student", "content": "yes", "session_id": 9562, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "funny words, funny grammar", "session_id": 9562, "sequence_id": 72, "annotations": []}
{"role": "student", "content": "i know math should be strictly math", "session_id": 9562, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "where to next?", "session_id": 9562, "sequence_id": 74, "annotations": []}
{"role": "student", "content": "i think thats all i needed help with", "session_id": 9562, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "you don't need more grammar help?", "session_id": 9562, "sequence_id": 76, "annotations": []}
{"role": "student", "content": "I think i'll be fine", "session_id": 9562, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "we could parse some sentences", "session_id": 9562, "sequence_id": 78, "annotations": []}
{"role": "student", "content": "just need to remeber to capitalize my", "session_id": 9562, "sequence_id": 79, "annotations": []}
{"role": "student", "content": "\"I\"s", "session_id": 9562, "sequence_id": 80, "annotations": []}
{"role": "student", "content": "Thank you again for helping me hope you have a good rest of your day", "session_id": 9562, "sequence_id": 81, "annotations": []}
{"role": "student", "content": "Hey!!! I need help on economics!", "session_id": 9581, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "economics ", "session_id": 9581, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "Hi", "session_id": 9581, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "hey!", "session_id": 9581, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "how may I help", "session_id": 9581, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "i need help on economics", "session_id": 9581, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "yikes I only know math", "session_id": 9581, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "would that help?", "session_id": 9581, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "NOOO", "session_id": 9581, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "yes ", "session_id": 9581, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "can you upload the question", "session_id": 9581, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "economics is very simple math ", "session_id": 9581, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "it\u2019s a couple questions i need help i got them wrong on my assignment ", "session_id": 9581, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "okay", "session_id": 9581, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "it\u2019s taking a while ", "session_id": 9581, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "okay", "session_id": 9581, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "it\u2019s not uploading the question so i\u2019m gonna type it ", "session_id": 9581, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "okay", "session_id": 9581, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "Mia  and Noah both specialize in the good in which they have a comparative advantage, total production in T-shirts will be _____ and the total production of Ice Cream will be _____.", "session_id": 9581, "sequence_id": 18, "annotations": [{"pii_type": "PERSON", "surrogate": "Mia", "start": 0, "end": 3}, {"pii_type": "PERSON", "surrogate": "Noah", "start": 9, "end": 13}]}
{"role": "student", "content": "Draw the PPF for both Mia and Noah with ice cream on the x axis.", "session_id": 9581, "sequence_id": 19, "annotations": [{"pii_type": "PERSON", "surrogate": "Mia", "start": 22, "end": 25}, {"pii_type": "PERSON", "surrogate": "Noah", "start": 30, "end": 34}]}
{"role": "volunteer", "content": "is that the whole question?", "session_id": 9581, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "yes", "session_id": 9581, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "there are no numbers?", "session_id": 9581, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "Hi Marcus how can i help you?", "session_id": 9569, "sequence_id": 0, "annotations": [{"pii_type": "PERSON", "surrogate": "Marcus", "start": 3, "end": 9}]}
{"role": "student", "content": "hi! I need help solving these two I want to know if i'm solving the first one correctly tho", "session_id": 9569, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "ill write out my work", "session_id": 9569, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "Sure go ahead", "session_id": 9569, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "is this right so far", "session_id": 9569, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "yes you're going good", "session_id": 9569, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "ok", "session_id": 9569, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "and now i need to get the same denom again?", "session_id": 9569, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "or combine like terms?", "session_id": 9569, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "no you can just cancel out the x from 8x and 2x like this", "session_id": 9569, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "and then 8/2 becomes 4", "session_id": 9569, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "wait", "session_id": 9569, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "this is confusinggg", "session_id": 9569, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "so divide 8 and 2", "session_id": 9569, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "bc they both have x?", "session_id": 9569, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "see this might not have been taught to you but lemme tell you this and it will help you out a lot in algebra", "session_id": 9569, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "ok", "session_id": 9569, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "and then distribute the 4?", "session_id": 9569, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "basically if you have x in the numerator and denominator in form of multiplication(NOT ADDITION OR SUBTRACTION) then they basically just cancel out", "session_id": 9569, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "look at the whiteboard I'll show you", "session_id": 9569, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "and then it becomes 82", "session_id": 9569, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "am i right?", "session_id": 9569, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "absolutely", "session_id": 9569, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "ok I am giving you another ques try it", "session_id": 9569, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "k", "session_id": 9569, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "try simplifying it on the board itself", "session_id": 9569, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "hmm this is trickyyy", "session_id": 9569, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "that?", "session_id": 9569, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "nope that's not it you're going wrong", "session_id": 9569, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "oh", "session_id": 9569, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "Hello", "session_id": 9569, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "My Tutor Provider wasn't working at first", "session_id": 9569, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "finding period and asymptotes in sine and co tangent functions", "session_id": 9604, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "Hey", "session_id": 9604, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "hi!", "session_id": 9604, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "What do you need help with today", "session_id": 9604, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "I need help finding the period and asymptotes for sine and co tan functions", "session_id": 9604, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "oh", "session_id": 9604, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "I am not great at that, but I can try", "session_id": 9604, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "Okay! Thanks I will type an equation in", "session_id": 9604, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 9604, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "can you just draw it", "session_id": 9604, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "there that is one of the equations", "session_id": 9604, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "that right", "session_id": 9604, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "theres an x inside the () next to pie as well", "session_id": 9604, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "oh I dont know how to find the asymtope for this sorry", "session_id": 9604, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "You should ask someone else", "session_id": 9604, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "okay, thank you for trying!", "session_id": 9604, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "your welcome", "session_id": 9604, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "also can you give me a 4 star atleast for the outro thing", "session_id": 9604, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "Not really sure how this works tbh, my first time on here", "session_id": 9604, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "oh k", "session_id": 9604, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "nvm", "session_id": 9604, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "bye then", "session_id": 9604, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "see you later", "session_id": 9604, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "adios!", "session_id": 9604, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "Hi Alex, how can I help you?", "session_id": 9609, "sequence_id": 0, "annotations": [{"pii_type": "PERSON", "surrogate": "Alex", "start": 3, "end": 7}]}
{"role": "student", "content": "hi", "session_id": 9609, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "i want to figure out how to answer this", "session_id": 9609, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "OK, from the graph or algebraically?", "session_id": 9609, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "from the graph", "session_id": 9609, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "What do you think about #1?", "session_id": 9609, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "Does the graph cross the X-axis?", "session_id": 9609, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "no?", "session_id": 9609, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "That's correct, it doesn't!!!", "session_id": 9609, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "What does that mean about real solutions?", "session_id": 9609, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "i have no idea \ud83d\ude13", "session_id": 9609, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "Real solutions exist if the graph crosses the x-axis.", "session_id": 9609, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "When a graph crosses the x-axis, what is the Y value?", "session_id": 9609, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "0?", "session_id": 9609, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "Yes!!   When Y=0, that is a solution.", "session_id": 9609, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "ok! so for number 2 is the solutions infinite?", "session_id": 9609, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "or like", "session_id": 9609, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "idk", "session_id": 9609, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "How about #1 first, real or imaginary?", "session_id": 9609, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "imaginary", "session_id": 9609, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "Yes!!!", "session_id": 9609, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "The equation is quadratic, Alex.  How many possible solutions?", "session_id": 9609, "sequence_id": 21, "annotations": [{"pii_type": "PERSON", "surrogate": "Alex", "start": 27, "end": 31}]}
{"role": "student", "content": "im not sure", "session_id": 9609, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "The number of possible solutions = the degree of the function.  In this case, 2.", "session_id": 9609, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "ok, i see", "session_id": 9609, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "Alex", "session_id": 9609, "sequence_id": 25, "annotations": [{"pii_type": "PERSON", "surrogate": "Alex", "start": 0, "end": 4}]}
{"role": "volunteer", "content": "You're welcome!!", "session_id": 9609, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "Do you want to solve it?", "session_id": 9609, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "sure", "session_id": 9609, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "Can you solve it using algebra?", "session_id": 9609, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "Final step...", "session_id": 9609, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "i know im supposted to do something else", "session_id": 9609, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "but i forgot", "session_id": 9609, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "One last step.  When you take the square root, how many solutions?", "session_id": 9609, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "2?", "session_id": 9609, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "yes!", "session_id": 9609, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "ohh", "session_id": 9609, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "ok yea i keep forgetting that part", "session_id": 9609, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "Don't forget that part...", "session_id": 9609, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "Try #3", "session_id": 9609, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "ok", "session_id": 9609, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "Excellent!!  Can you simplify that?", "session_id": 9609, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "i dont really know how to simplify sqr", "session_id": 9609, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "Does 8 have a factor that is a perfect square?", "session_id": 9609, "sequence_id": 43, "annotations": []}
{"role": "student", "content": "idk \ud83d\ude13", "session_id": 9609, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "Careful, the sqrt of 16 is what?", "session_id": 9609, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "oh", "session_id": 9609, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "4", "session_id": 9609, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "+-4", "session_id": 9609, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "How about #4?", "session_id": 9609, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "Great, except what is 15/5?", "session_id": 9609, "sequence_id": 50, "annotations": []}
{"role": "student", "content": "oops", "session_id": 9609, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "3", "session_id": 9609, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "There you go!  Good work!!", "session_id": 9609, "sequence_id": 53, "annotations": []}
{"role": "student", "content": "yay", "session_id": 9609, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "Do you often make that kind of oops?", "session_id": 9609, "sequence_id": 55, "annotations": []}
{"role": "student", "content": "Alex yea its not good for me \ud83d\ude2d", "session_id": 9609, "sequence_id": 56, "annotations": [{"pii_type": "PERSON", "surrogate": "Alex", "start": 0, "end": 4}]}
{"role": "volunteer", "content": "How can you minimize that?", "session_id": 9609, "sequence_id": 57, "annotations": []}
{"role": "student", "content": "double checking", "session_id": 9609, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "Yes!!  Plus maybe saying what your are doing in words to yourself.", "session_id": 9609, "sequence_id": 59, "annotations": []}
{"role": "student", "content": "okok", "session_id": 9609, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "Just trying to help...", "session_id": 9609, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "Anything else?", "session_id": 9609, "sequence_id": 62, "annotations": []}
{"role": "student", "content": "ya ill try to solve on my own tho if i mess up lmk \ud83d\ude13", "session_id": 9609, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "OK, #9", "session_id": 9609, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "Excellent!!", "session_id": 9609, "sequence_id": 65, "annotations": []}
{"role": "student", "content": "yay", "session_id": 9609, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "What happens when you take the sqrt of a negative number?", "session_id": 9609, "sequence_id": 67, "annotations": []}
{"role": "student", "content": "im not sure", "session_id": 9609, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "What is the sqrt of -1?", "session_id": 9609, "sequence_id": 69, "annotations": []}
{"role": "student", "content": "1?", "session_id": 9609, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "It's the special number i", "session_id": 9609, "sequence_id": 71, "annotations": []}
{"role": "student", "content": "ohh", "session_id": 9609, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "Have you learned that?", "session_id": 9609, "sequence_id": 73, "annotations": []}
{"role": "student", "content": "yeah but i forgot", "session_id": 9609, "sequence_id": 74, "annotations": []}
{"role": "volunteer", "content": "Lots to remember.  lol", "session_id": 9609, "sequence_id": 75, "annotations": []}
{"role": "student", "content": "unrelated but its not looking good for precalc \ud83d\ude2d\ud83d\ude2d", "session_id": 9609, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "Why not?", "session_id": 9609, "sequence_id": 77, "annotations": []}
{"role": "student", "content": "apparently Northwood is way easier and im alr struggling with this", "session_id": 9609, "sequence_id": 78, "annotations": [{"pii_type": "LOCATION", "surrogate": "Northwood", "start": 11, "end": 20}]}
{"role": "volunteer", "content": "Is it -81 or +81?", "session_id": 9609, "sequence_id": 79, "annotations": []}
{"role": "student", "content": "oh", "session_id": 9609, "sequence_id": 80, "annotations": []}
{"role": "volunteer", "content": "There ya go!!", "session_id": 9609, "sequence_id": 81, "annotations": []}
{"role": "volunteer", "content": "I think you understand the concepts, but struggle with \"careless\" mistakes.", "session_id": 9609, "sequence_id": 82, "annotations": []}
{"role": "student", "content": "yea \ud83d\ude13", "session_id": 9609, "sequence_id": 83, "annotations": []}
{"role": "volunteer", "content": "That's easier to correct than not getting the concepts.", "session_id": 9609, "sequence_id": 84, "annotations": []}
{"role": "volunteer", "content": "What grade are you in?", "session_id": 9609, "sequence_id": 85, "annotations": []}
{"role": "student", "content": " 11th grade", "session_id": 9609, "sequence_id": 86, "annotations": [{"pii_type": "GRADE_LEVEL", "surrogate": "11th grade", "start": 1, "end": 11}]}
{"role": "volunteer", "content": "OK, good progress through the math curriculum.", "session_id": 9609, "sequence_id": 87, "annotations": []}
{"role": "student", "content": "thank you", "session_id": 9609, "sequence_id": 88, "annotations": []}
{"role": "volunteer", "content": "You did Calculus 201% on your own!!", "session_id": 9609, "sequence_id": 89, "annotations": [{"pii_type": "COURSE", "surrogate": "Calculus 201", "start": 8, "end": 20}]}
{"role": "student", "content": "yippie", "session_id": 9609, "sequence_id": 90, "annotations": []}
{"role": "volunteer", "content": "You even corrected a couple of oops along the way.", "session_id": 9609, "sequence_id": 91, "annotations": []}
{"role": "volunteer", "content": "So close.", "session_id": 9609, "sequence_id": 92, "annotations": []}
{"role": "volunteer", "content": "i is already a sqrt, don't take the sqrt again.  :)", "session_id": 9609, "sequence_id": 93, "annotations": []}
{"role": "volunteer", "content": "Math takes practice to master a concept.", "session_id": 9609, "sequence_id": 94, "annotations": []}
{"role": "student", "content": "it is x = +- 6i?", "session_id": 9609, "sequence_id": 95, "annotations": []}
{"role": "volunteer", "content": "Yes!!", "session_id": 9609, "sequence_id": 96, "annotations": []}
{"role": "student", "content": "ok!", "session_id": 9609, "sequence_id": 97, "annotations": []}
{"role": "volunteer", "content": "OOPS, Alex i", "session_id": 9609, "sequence_id": 98, "annotations": [{"pii_type": "PERSON", "surrogate": "Alex", "start": 6, "end": 10}]}
{"role": "student", "content": "alr", "session_id": 9609, "sequence_id": 99, "annotations": []}
{"role": "student", "content": "ok thats all", "session_id": 9609, "sequence_id": 100, "annotations": []}
{"role": "student", "content": "thank you for the help", "session_id": 9609, "sequence_id": 101, "annotations": []}
{"role": "volunteer", "content": "Good job!", "session_id": 9609, "sequence_id": 102, "annotations": []}
{"role": "volunteer", "content": "Keep up your mental checks and pre-calc won't be bad.", "session_id": 9609, "sequence_id": 103, "annotations": []}
{"role": "student", "content": "i hope so, goodbye", "session_id": 9609, "sequence_id": 104, "annotations": []}
{"role": "volunteer", "content": "Alex", "session_id": 9609, "sequence_id": 105, "annotations": [{"pii_type": "PERSON", "surrogate": "Alex", "start": 0, "end": 4}]}
{"role": "student", "content": "Hello! I have a basic understanding of how to solve these problems, but I often get stuck or confused. I've been using Method 1 to approach them. Could you please provide a few practice problems from pages 4\u20136 of the PDF, using different numbers but following the same concepts? I'd really appreciate it. Here's the link to the PDF: https://example.com/math-resources.pdf", "session_id": 9520, "sequence_id": 0, "annotations": [{"pii_type": "URL", "surrogate": "https://example.com/math-resources.pdf", "start": 333, "end": 371}]}
{"role": "student", "content": "Hello! ^^^", "session_id": 9520, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "Hi! I'm looking", "session_id": 9520, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "kk", "session_id": 9520, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "I want problems like 18-21", "session_id": 9520, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 9520, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "i just pasted one in there", "session_id": 9520, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "ok", "session_id": 9520, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "so would it be x+1/y^2", "session_id": 9520, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "and y+1(x^2)/x^2", "session_id": 9520, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "?", "session_id": 9520, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "tell me how you got each of those", "session_id": 9520, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "answer is x^2/y^2", "session_id": 9520, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 9520, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "next", "session_id": 9520, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "that's right", "session_id": 9520, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "yepp next problem", "session_id": 9520, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "do you work with negative exponents yet?", "session_id": 9520, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "yes", "session_id": 9520, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "there you go", "session_id": 9520, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "kk", "session_id": 9520, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "would x^-1 be 1/x?", "session_id": 9520, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 9520, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "kk", "session_id": 9520, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "uh yeah this is tricky", "session_id": 9520, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "where are you stuck?", "session_id": 9520, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "the 2xy^-1", "session_id": 9520, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "so if you see x by itself, it's really x^1, right?", "session_id": 9520, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "but no one ever writes that", "session_id": 9520, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "right", "session_id": 9520, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "so your x is in the right spot. your y however has a negative exponent", "session_id": 9520, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "so what should we do with that y", "session_id": 9520, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "it goes on bottom frac", "session_id": 9520, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "yeah!", "session_id": 9520, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "is it this? i'm confused when its ^-2", "session_id": 9520, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "you treat ^-2 the same way you treat ^-1, by putting it on the bottom it becomes positive", "session_id": 9520, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "it becomes ^2", "session_id": 9520, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "ok", "session_id": 9520, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "ok what aboutt he other", "session_id": 9520, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "see what i wrote up there", "session_id": 9520, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "21?", "session_id": 9520, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "oh", "session_id": 9520, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "1/x^2y", "session_id": 9520, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "yeah!", "session_id": 9520, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "and what about the other one", "session_id": 9520, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "the one i put an arrow at needs to be fixed", "session_id": 9520, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "ohhh", "session_id": 9520, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "what about the numerator", "session_id": 9520, "sequence_id": 47, "annotations": []}
{"role": "student", "content": "1", "session_id": 9520, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "correct!", "session_id": 9520, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "so lets fix that", "session_id": 9520, "sequence_id": 50, "annotations": []}
{"role": "student", "content": "so it becomes", "session_id": 9520, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "1y+2x^2/xy?", "session_id": 9520, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "for the top?", "session_id": 9520, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "yes that's correct", "session_id": 9520, "sequence_id": 54, "annotations": []}
{"role": "student", "content": "kk", "session_id": 9520, "sequence_id": 55, "annotations": []}
{"role": "student", "content": "and then bottom one is", "session_id": 9520, "sequence_id": 56, "annotations": []}
{"role": "student", "content": "x^2 times y", "session_id": 9520, "sequence_id": 57, "annotations": []}
{"role": "student", "content": "and 1 times y", "session_id": 9520, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "yeah", "session_id": 9520, "sequence_id": 59, "annotations": []}
{"role": "student", "content": "let me write it out", "session_id": 9520, "sequence_id": 60, "annotations": []}
{"role": "student", "content": "right?", "session_id": 9520, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "yeah!", "session_id": 9520, "sequence_id": 62, "annotations": []}
{"role": "student", "content": "ok", "session_id": 9520, "sequence_id": 63, "annotations": []}
{"role": "student", "content": "would i combine like terms for the numerator?", "session_id": 9520, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "i would probably cross cancel where possible", "session_id": 9520, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "with those two", "session_id": 9520, "sequence_id": 66, "annotations": []}
{"role": "student", "content": "im confused", "session_id": 9520, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "so those two fractions are being multiplied, right?", "session_id": 9520, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "are there any common factors that can be cancelled out?", "session_id": 9520, "sequence_id": 69, "annotations": []}
{"role": "student", "content": "that's x^2", "session_id": 9520, "sequence_id": 70, "annotations": []}
{"role": "student", "content": "ohh nvm i get it", "session_id": 9520, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": ":)", "session_id": 9520, "sequence_id": 72, "annotations": []}
{"role": "student", "content": "so its just x", "session_id": 9520, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "where", "session_id": 9520, "sequence_id": 74, "annotations": []}
{"role": "student", "content": "i rewrote it", "session_id": 9520, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "yeah! 1y- what on the bottom?", "session_id": 9520, "sequence_id": 76, "annotations": []}
{"role": "student", "content": "1?", "session_id": 9520, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "yep", "session_id": 9520, "sequence_id": 78, "annotations": []}
{"role": "student", "content": "where u get the -1", "session_id": 9520, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "make sure you extend your fraction line over the whole thing", "session_id": 9520, "sequence_id": 80, "annotations": []}
{"role": "volunteer", "content": "so since you cross cancelled some of these variables, you are left with what isn't crossed out", "session_id": 9520, "sequence_id": 81, "annotations": []}
{"role": "student", "content": "i'm confused", "session_id": 9520, "sequence_id": 82, "annotations": []}
{"role": "volunteer", "content": "the -1 just gets carried over from the original problem", "session_id": 9520, "sequence_id": 83, "annotations": []}
{"role": "student", "content": "oh", "session_id": 9520, "sequence_id": 84, "annotations": []}
{"role": "volunteer", "content": "see how i wrote it down below", "session_id": 9520, "sequence_id": 85, "annotations": []}
{"role": "student", "content": "ok i see", "session_id": 9520, "sequence_id": 86, "annotations": []}
{"role": "student", "content": "so distribute?", "session_id": 9520, "sequence_id": 87, "annotations": []}
{"role": "volunteer", "content": "you've got these concepts down!", "session_id": 9520, "sequence_id": 88, "annotations": []}
{"role": "volunteer", "content": "you can, or you can just leave as is", "session_id": 9520, "sequence_id": 89, "annotations": []}
{"role": "volunteer", "content": "it depends on what your teacher considers simplified", "session_id": 9520, "sequence_id": 90, "annotations": []}
{"role": "student", "content": "oh ok", "session_id": 9520, "sequence_id": 91, "annotations": []}
{"role": "volunteer", "content": "so thats the answer", "session_id": 9520, "sequence_id": 92, "annotations": []}
{"role": "student", "content": "so no distribute", "session_id": 9520, "sequence_id": 93, "annotations": []}
{"role": "volunteer", "content": "correct", "session_id": 9520, "sequence_id": 94, "annotations": []}
{"role": "student", "content": "ok next problem", "session_id": 9520, "sequence_id": 95, "annotations": []}
{"role": "student", "content": "would 5 be 10?", "session_id": 9520, "sequence_id": 96, "annotations": []}
{"role": "volunteer", "content": "what do you mean", "session_id": 9520, "sequence_id": 97, "annotations": []}
{"role": "student", "content": "bc we do", "session_id": 9520, "sequence_id": 98, "annotations": []}
{"role": "student", "content": "4 times 2 x+5 times 2", "session_id": 9520, "sequence_id": 99, "annotations": []}
{"role": "volunteer", "content": "can you show me on the white boar?", "session_id": 9520, "sequence_id": 100, "annotations": []}
{"role": "volunteer", "content": "white board *", "session_id": 9520, "sequence_id": 101, "annotations": []}
{"role": "student", "content": "sure", "session_id": 9520, "sequence_id": 102, "annotations": []}
{"role": "student", "content": "is this right?", "session_id": 9520, "sequence_id": 103, "annotations": []}
{"role": "volunteer", "content": "there is a lower common denominator than 8", "session_id": 9520, "sequence_id": 104, "annotations": []}
{"role": "student", "content": "i did 4 times 2", "session_id": 9520, "sequence_id": 105, "annotations": []}
{"role": "student", "content": "2 times 4", "session_id": 9520, "sequence_id": 106, "annotations": []}
{"role": "volunteer", "content": "but cant 4 just be the common denominator ?", "session_id": 9520, "sequence_id": 107, "annotations": []}
{"role": "student", "content": "oh wait u find the common denom omg", "session_id": 9520, "sequence_id": 108, "annotations": []}
{"role": "student", "content": "so its 2-x+5 / 4?", "session_id": 9520, "sequence_id": 109, "annotations": []}
{"role": "volunteer", "content": "yeah", "session_id": 9520, "sequence_id": 110, "annotations": []}
{"role": "volunteer", "content": "it's actually 2-(x+5)", "session_id": 9520, "sequence_id": 111, "annotations": []}
{"role": "student", "content": "0h", "session_id": 9520, "sequence_id": 112, "annotations": []}
{"role": "student", "content": "ugh this is so confusing its like i'm learning something new with each problem", "session_id": 9520, "sequence_id": 113, "annotations": []}
{"role": "student", "content": "so its -2x+10/4", "session_id": 9520, "sequence_id": 114, "annotations": []}
{"role": "student", "content": "?", "session_id": 9520, "sequence_id": 115, "annotations": []}
{"role": "volunteer", "content": "Hello How are you?", "session_id": 9614, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "I'm fine and you?", "session_id": 9614, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "I am fine tnx How can I help?", "session_id": 9614, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "Should I see something?", "session_id": 9614, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "so I have a series of questions, and problems. But let's go one by one, so we are working with maximums and minimums", "session_id": 9614, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 9614, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "i'll put smth on the board, one min", "session_id": 9614, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 9614, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "so there is this, and I made a sign chart for it, and we are asking if there is a local min and how many there are, I found 1, but apparently I'm wrong", "session_id": 9614, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "OK Pls wait I will read it", "session_id": 9614, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "ok", "session_id": 9614, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "OK Wuld u like to show me what u did?", "session_id": 9614, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "ok", "session_id": 9614, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "I must get my other eyeglasses", "session_id": 9614, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "Can u write on bd while I get them?", "session_id": 9614, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "yes", "session_id": 9614, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "I am back", "session_id": 9614, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "pls wait while I put on my glasses", "session_id": 9614, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 9614, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "there is what I did and based on my chart there is only one min", "session_id": 9614, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "where I circled", "session_id": 9614, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "OK and u say that is at x = -2?", "session_id": 9614, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "yes", "session_id": 9614, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 9614, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "now if you had to give theat min a vlaue what would it be?", "session_id": 9614, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "that*", "session_id": 9614, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "wym?", "session_id": 9614, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "I mean if there is a minimum wouldn;t it have a vlaue? I mean a number?", "session_id": 9614, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "yeah that's the -2", "session_id": 9614, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "well I think that is the x vlaue", "session_id": 9614, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "but what is the y value there?", "session_id": 9614, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "i don't know", "session_id": 9614, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "well I *think* it is -inf", "session_id": 9614, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "and I think that might not counbt as a min", "session_id": 9614, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "how do you know it's -inf, how did you get that?", "session_id": 9614, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "I will circle in \"pink\" I hope", "session_id": 9614, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "ok", "session_id": 9614, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "I underlined instead", "session_id": 9614, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "do u see it in the the ques itself?", "session_id": 9614, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "ok", "session_id": 9614, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "does that help?", "session_id": 9614, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "and not the other two limits after the underlining", "session_id": 9614, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "note*", "session_id": 9614, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "why note the other ones? does that say anything about the min?", "session_id": 9614, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "becuase your grpah does not seem to show them", "session_id": 9614, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "Also what does your grpah show bewteen x = 2 and x = 8 ?", "session_id": 9614, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "Also does your  graph show f(2)  and f(8)?", "session_id": 9614, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "no, it doesn't have to js bc I wasn't asked to, but yeah let's move on to the next question", "session_id": 9614, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 9614, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "for this one we are asked if we have a local maximum", "session_id": 9614, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "OK Ii will expand it and copy pls wait", "session_id": 9614, "sequence_id": 50, "annotations": []}
{"role": "student", "content": "ok", "session_id": 9614, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "OK what function does this new grpah show?", "session_id": 9614, "sequence_id": 52, "annotations": []}
{"role": "student", "content": "f'(x)", "session_id": 9614, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "yes the *derivative* of f", "session_id": 9614, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "Now what does the ques ask for?", "session_id": 9614, "sequence_id": 55, "annotations": []}
{"role": "student", "content": "the local maximum", "session_id": 9614, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "OK let me think", "session_id": 9614, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "If you have a local max *and* the func is continusous, whagt is the value of f' to th eleft of the max?", "session_id": 9614, "sequence_id": 58, "annotations": []}
{"role": "student", "content": "wym?", "session_id": 9614, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "Let me rephrasae", "session_id": 9614, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "what is the *sign* of f' to the left of a max?", "session_id": 9614, "sequence_id": 61, "annotations": []}
{"role": "student", "content": "positive?", "session_id": 9614, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "Yes good", "session_id": 9614, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "and to the right?", "session_id": 9614, "sequence_id": 64, "annotations": []}
{"role": "student", "content": "negative", "session_id": 9614, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 9614, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "and *at* the max?", "session_id": 9614, "sequence_id": 67, "annotations": []}
{"role": "student", "content": "a number?", "session_id": 9614, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "Yes", "session_id": 9614, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "zero?", "session_id": 9614, "sequence_id": 70, "annotations": []}
{"role": "student", "content": "zero?", "session_id": 9614, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 9614, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "so what point on this graph of f' meets all those requirements?", "session_id": 9614, "sequence_id": 73, "annotations": []}
{"role": "student", "content": "0", "session_id": 9614, "sequence_id": 74, "annotations": []}
{"role": "volunteer", "content": "Yes x = 0 !!!", "session_id": 9614, "sequence_id": 75, "annotations": []}
{"role": "student", "content": "so basically for the f', wherever f switches from pos to neg, it's a max. But from neg to pos, it's a min?", "session_id": 9614, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "Yes *except* I think we *might* need to be sure the func is continuous", "session_id": 9614, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "But htis one is", "session_id": 9614, "sequence_id": 78, "annotations": []}
{"role": "student", "content": "so a local max and min can only be found at a continuous point?", "session_id": 9614, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "no", "session_id": 9614, "sequence_id": 80, "annotations": []}
{"role": "volunteer", "content": "I am not sure about that", "session_id": 9614, "sequence_id": 81, "annotations": []}
{"role": "volunteer", "content": "BUT I mean the rule about left and right might apply only for continuous", "session_id": 9614, "sequence_id": 82, "annotations": []}
{"role": "volunteer", "content": "You see I do physics and msot all funcs are contiuosu for us", "session_id": 9614, "sequence_id": 83, "annotations": []}
{"role": "volunteer", "content": "but the mahgt folks have thigns that aren't", "session_id": 9614, "sequence_id": 84, "annotations": []}
{"role": "volunteer", "content": "so you need to read your book or chk the Web about that'", "session_id": 9614, "sequence_id": 85, "annotations": []}
{"role": "volunteer", "content": "See what I mean?", "session_id": 9614, "sequence_id": 86, "annotations": []}
{"role": "volunteer", "content": "math*", "session_id": 9614, "sequence_id": 87, "annotations": []}
{"role": "volunteer", "content": "I can look in a book here", "session_id": 9614, "sequence_id": 88, "annotations": []}
{"role": "volunteer", "content": "pls wait", "session_id": 9614, "sequence_id": 89, "annotations": []}
{"role": "student", "content": "ok", "session_id": 9614, "sequence_id": 90, "annotations": []}
{"role": "volunteer", "content": "Most of what I find applies to continuous functions", "session_id": 9614, "sequence_id": 91, "annotations": []}
{"role": "volunteer", "content": "for now< I would not worry about the ones that ar enot", "session_id": 9614, "sequence_id": 92, "annotations": []}
{"role": "student", "content": "okay next question,", "session_id": 9614, "sequence_id": 93, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 9614, "sequence_id": 94, "annotations": []}
{"role": "student", "content": "could you erase the board?", "session_id": 9614, "sequence_id": 95, "annotations": []}
{"role": "volunteer", "content": "btw do u have an answer key?", "session_id": 9614, "sequence_id": 96, "annotations": []}
{"role": "student", "content": "no but it tells me if I'm right or wrong, and I have unlimited tries to get it right", "session_id": 9614, "sequence_id": 97, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 9614, "sequence_id": 98, "annotations": []}
{"role": "volunteer", "content": "OK I see the function", "session_id": 9614, "sequence_id": 99, "annotations": []}
{"role": "volunteer", "content": "Wha are we to do?", "session_id": 9614, "sequence_id": 100, "annotations": []}
{"role": "volunteer", "content": "OK I will watch", "session_id": 9614, "sequence_id": 101, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 9614, "sequence_id": 102, "annotations": []}
{"role": "student", "content": "yes now we are asked in the intervals is it increasing or decreasing or not defined", "session_id": 9614, "sequence_id": 103, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 9614, "sequence_id": 104, "annotations": []}
{"role": "student", "content": "those", "session_id": 9614, "sequence_id": 105, "annotations": []}
{"role": "volunteer", "content": "Now I suggest we start with (-3,3)", "session_id": 9614, "sequence_id": 106, "annotations": []}
{"role": "volunteer", "content": "Dop you have an idea about that one?", "session_id": 9614, "sequence_id": 107, "annotations": []}
{"role": "student", "content": "wait, so to find it we have to plug those numbers to the function above right?", "session_id": 9614, "sequence_id": 108, "annotations": []}
{"role": "volunteer", "content": "sort of", "session_id": 9614, "sequence_id": 109, "annotations": []}
{"role": "volunteer", "content": "but I suggest you think about the sq root when x is between -3 and 3", "session_id": 9614, "sequence_id": 110, "annotations": []}
{"role": "student", "content": "I'm kind of confused on this one, can you go through it, I'll do the next one", "session_id": 9614, "sequence_id": 111, "annotations": []}
{"role": "volunteer", "content": "OK well I will do my best", "session_id": 9614, "sequence_id": 112, "annotations": []}
{"role": "volunteer", "content": "Let us start with (-3,3) OK?", "session_id": 9614, "sequence_id": 113, "annotations": []}
{"role": "student", "content": "ok", "session_id": 9614, "sequence_id": 114, "annotations": []}
{"role": "volunteer", "content": "try x = -2", "session_id": 9614, "sequence_id": 115, "annotations": []}
{"role": "volunteer", "content": "what do we get for the sq root?", "session_id": 9614, "sequence_id": 116, "annotations": []}
{"role": "student", "content": "root of -5", "session_id": 9614, "sequence_id": 117, "annotations": []}
{"role": "volunteer", "content": "yrs good", "session_id": 9614, "sequence_id": 118, "annotations": []}
{"role": "volunteer", "content": "and can we take the sq root of a neg number?", "session_id": 9614, "sequence_id": 119, "annotations": []}
{"role": "student", "content": "nope", "session_id": 9614, "sequence_id": 120, "annotations": []}
{"role": "volunteer", "content": "no not using real numbers I agree", "session_id": 9614, "sequence_id": 121, "annotations": []}
{"role": "volunteer", "content": "how about when x = 2 ?", "session_id": 9614, "sequence_id": 122, "annotations": []}
{"role": "student", "content": "that's still neg root", "session_id": 9614, "sequence_id": 123, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 9614, "sequence_id": 124, "annotations": []}
{"role": "student", "content": "which meand DNE", "session_id": 9614, "sequence_id": 125, "annotations": []}
{"role": "volunteer", "content": "and for *any* x between -3 and 3 we have neg root", "session_id": 9614, "sequence_id": 126, "annotations": []}
{"role": "volunteer", "content": "so what can u say about the interval (-3,3)?", "session_id": 9614, "sequence_id": 127, "annotations": []}
{"role": "student", "content": "it's not defined", "session_id": 9614, "sequence_id": 128, "annotations": []}
{"role": "volunteer", "content": "I agree", "session_id": 9614, "sequence_id": 129, "annotations": []}
{"role": "volunteer", "content": "confetti for that !!", "session_id": 9614, "sequence_id": 130, "annotations": []}
{"role": "student", "content": "thxx", "session_id": 9614, "sequence_id": 131, "annotations": []}
{"role": "student", "content": "so for the next one", "session_id": 9614, "sequence_id": 132, "annotations": []}
{"role": "volunteer", "content": "OK Now for the first oen there might be a clever way tyo do it", "session_id": 9614, "sequence_id": 133, "annotations": []}
{"role": "volunteer", "content": "BUT the obviosu way is to take the derivative", "session_id": 9614, "sequence_id": 134, "annotations": []}
{"role": "volunteer", "content": "Do u know how to take the derivatve of this function?", "session_id": 9614, "sequence_id": 135, "annotations": []}
{"role": "volunteer", "content": "BTW I grpaahed the function on my nice new claculaotgr", "session_id": 9614, "sequence_id": 136, "annotations": []}
{"role": "student", "content": "yes, but why can't we just plug a specific value", "session_id": 9614, "sequence_id": 137, "annotations": []}
{"role": "volunteer", "content": "that will give us jsut one vlaue", "session_id": 9614, "sequence_id": 138, "annotations": []}
{"role": "volunteer", "content": "what does the question ask?", "session_id": 9614, "sequence_id": 139, "annotations": []}
{"role": "student", "content": "infinity but like as long as we get the value of at least one number, it should work for the rest right?", "session_id": 9614, "sequence_id": 140, "annotations": []}
{"role": "volunteer", "content": "Wait", "session_id": 9614, "sequence_id": 141, "annotations": []}
{"role": "volunteer", "content": "we are asked for intervals where the func increases and decreases. Am I correct?", "session_id": 9614, "sequence_id": 142, "annotations": []}
{"role": "student", "content": "yes", "session_id": 9614, "sequence_id": 143, "annotations": []}
{"role": "volunteer", "content": "That is euqiv (for a contin func) to asking for intervals wehre the deriv is +  and where the seriv is minus", "session_id": 9614, "sequence_id": 144, "annotations": []}
{"role": "volunteer", "content": "see what I mean?", "session_id": 9614, "sequence_id": 145, "annotations": []}
{"role": "volunteer", "content": "BTW there was an easier way to do the middle one", "session_id": 9614, "sequence_id": 146, "annotations": []}
{"role": "volunteer", "content": "that interval is not even in the domain!", "session_id": 9614, "sequence_id": 147, "annotations": []}
{"role": "volunteer", "content": "so we could have said DNE bsed on that", "session_id": 9614, "sequence_id": 148, "annotations": []}
{"role": "volunteer", "content": "But for the other two, I think the most strightforward thing to do is take the derivative IF you knowp hw", "session_id": 9614, "sequence_id": 149, "annotations": []}
{"role": "volunteer", "content": "Have you learned the quotient rule and/or the product rule?", "session_id": 9614, "sequence_id": 150, "annotations": []}
{"role": "student", "content": "i already found the derivative of it", "session_id": 9614, "sequence_id": 151, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 9614, "sequence_id": 152, "annotations": []}
{"role": "volunteer", "content": "what is the sing of the direvitave on the intercal (inf, -3)?", "session_id": 9614, "sequence_id": 153, "annotations": []}
{"role": "volunteer", "content": "sign*", "session_id": 9614, "sequence_id": 154, "annotations": []}
{"role": "volunteer", "content": "interval*", "session_id": 9614, "sequence_id": 155, "annotations": []}
{"role": "volunteer", "content": "oops", "session_id": 9614, "sequence_id": 156, "annotations": []}
{"role": "volunteer", "content": "(-inf,-3)", "session_id": 9614, "sequence_id": 157, "annotations": []}
{"role": "student", "content": "i'll just write the f' on the board", "session_id": 9614, "sequence_id": 158, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 9614, "sequence_id": 159, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 9614, "sequence_id": 160, "annotations": []}
{"role": "student", "content": "there", "session_id": 9614, "sequence_id": 161, "annotations": []}
{"role": "volunteer", "content": "OK pls wait while I chk", "session_id": 9614, "sequence_id": 162, "annotations": []}
{"role": "volunteer", "content": "I agree", "session_id": 9614, "sequence_id": 163, "annotations": []}
{"role": "volunteer", "content": "now\\", "session_id": 9614, "sequence_id": 164, "annotations": []}
{"role": "volunteer", "content": "the numeraotr is always neg do you agree?", "session_id": 9614, "sequence_id": 165, "annotations": []}
{"role": "volunteer", "content": "hint numeraotr is -9", "session_id": 9614, "sequence_id": 166, "annotations": []}
{"role": "student", "content": "yes", "session_id": 9614, "sequence_id": 167, "annotations": []}
{"role": "volunteer", "content": "I mean the numerator of f'", "session_id": 9614, "sequence_id": 168, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 9614, "sequence_id": 169, "annotations": []}
{"role": "volunteer", "content": "and what about the denominator when -inf x < - 3 ?", "session_id": 9614, "sequence_id": 170, "annotations": []}
{"role": "volunteer", "content": "hint is x^2 > 9?", "session_id": 9614, "sequence_id": 171, "annotations": []}
{"role": "volunteer", "content": "Are u thinking?", "session_id": 9614, "sequence_id": 172, "annotations": []}
{"role": "student", "content": "wait sorry i was doing smth", "session_id": 9614, "sequence_id": 173, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 9614, "sequence_id": 174, "annotations": []}
{"role": "student", "content": "what's the question?", "session_id": 9614, "sequence_id": 175, "annotations": []}
{"role": "volunteer", "content": "I have ten more minutes", "session_id": 9614, "sequence_id": 176, "annotations": []}
{"role": "volunteer", "content": "I will repeat", "session_id": 9614, "sequence_id": 177, "annotations": []}
{"role": "volunteer", "content": "the numerator of f' is -9", "session_id": 9614, "sequence_id": 178, "annotations": []}
{"role": "volunteer", "content": "which is always neg OK/", "session_id": 9614, "sequence_id": 179, "annotations": []}
{"role": "volunteer", "content": "?", "session_id": 9614, "sequence_id": 180, "annotations": []}
{"role": "student", "content": "yed", "session_id": 9614, "sequence_id": 181, "annotations": []}
{"role": "student", "content": "yes*", "session_id": 9614, "sequence_id": 182, "annotations": []}
{"role": "volunteer", "content": "and what about the denominator when -inf x < - 3 ?", "session_id": 9614, "sequence_id": 183, "annotations": []}
{"role": "volunteer", "content": "hint think about x^2", "session_id": 9614, "sequence_id": 184, "annotations": []}
{"role": "student", "content": "so what do you want me to tell you, the sign of the denom?", "session_id": 9614, "sequence_id": 185, "annotations": []}
{"role": "volunteer", "content": "Yes when -inf < x <  -3", "session_id": 9614, "sequence_id": 186, "annotations": []}
{"role": "student", "content": "i think the bottom will be positive", "session_id": 9614, "sequence_id": 187, "annotations": []}
{"role": "volunteer", "content": "Yes it will", "session_id": 9614, "sequence_id": 188, "annotations": []}
{"role": "volunteer", "content": "so what is the sing of f' when -inf < x < -3?", "session_id": 9614, "sequence_id": 189, "annotations": []}
{"role": "volunteer", "content": "sign*", "session_id": 9614, "sequence_id": 190, "annotations": []}
{"role": "student", "content": "negative", "session_id": 9614, "sequence_id": 191, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 9614, "sequence_id": 192, "annotations": []}
{"role": "volunteer", "content": "so that menas the func is decreasing for -inf < x < -3", "session_id": 9614, "sequence_id": 193, "annotations": []}
{"role": "volunteer", "content": "now how about 3 < x < inf ?", "session_id": 9614, "sequence_id": 194, "annotations": []}
{"role": "student", "content": "would it still be decreasing?", "session_id": 9614, "sequence_id": 195, "annotations": []}
{"role": "volunteer", "content": "Yes", "session_id": 9614, "sequence_id": 196, "annotations": []}
{"role": "volunteer", "content": "f' is neg for that interval too", "session_id": 9614, "sequence_id": 197, "annotations": []}
{"role": "volunteer", "content": "Here is a link to a function grpah: (do not click on it) I will wxplain", "session_id": 9614, "sequence_id": 198, "annotations": []}
{"role": "volunteer", "content": "https://example.com/math_graph", "session_id": 9614, "sequence_id": 199, "annotations": [{"pii_type": "URL", "surrogate": "https://example.com/math_graph", "start": 0, "end": 30}]}
{"role": "volunteer", "content": "do not click on it here in the chat", "session_id": 9614, "sequence_id": 200, "annotations": []}
{"role": "volunteer", "content": "that might end the session", "session_id": 9614, "sequence_id": 201, "annotations": []}
{"role": "student", "content": "ok", "session_id": 9614, "sequence_id": 202, "annotations": []}
{"role": "volunteer", "content": "U can if poosible copy it to your browswer", "session_id": 9614, "sequence_id": 203, "annotations": []}
{"role": "student", "content": "now I have a question though, so to find out if f was increasing, we have to find the f', then plug in the numbers and see if it comes out positive then f is increasing, if the answer comes out negative, then it is decreasing?", "session_id": 9614, "sequence_id": 204, "annotations": []}
{"role": "volunteer", "content": "Yes for a continuosu function", "session_id": 9614, "sequence_id": 205, "annotations": []}
{"role": "volunteer", "content": "this one happens to be decreasing everywhere in its dmain", "session_id": 9614, "sequence_id": 206, "annotations": []}
{"role": "volunteer", "content": "soemtimes the sign of the deriv will change", "session_id": 9614, "sequence_id": 207, "annotations": []}
{"role": "volunteer", "content": "so watch for that", "session_id": 9614, "sequence_id": 208, "annotations": []}
{"role": "student", "content": "does it mean to find the concanvity of that, we have to find the second derivative then plug in numbers?", "session_id": 9614, "sequence_id": 209, "annotations": []}
{"role": "volunteer", "content": "let me think", "session_id": 9614, "sequence_id": 210, "annotations": []}
{"role": "volunteer", "content": "I think for concavity the sing of f'' changes", "session_id": 9614, "sequence_id": 211, "annotations": []}
{"role": "volunteer", "content": "sign*", "session_id": 9614, "sequence_id": 212, "annotations": []}
{"role": "student", "content": "that wasn't my question...", "session_id": 9614, "sequence_id": 213, "annotations": []}
{"role": "volunteer", "content": "ok sorry", "session_id": 9614, "sequence_id": 214, "annotations": []}
{"role": "volunteer", "content": "what aws the ques", "session_id": 9614, "sequence_id": 215, "annotations": []}
{"role": "student", "content": "my question was to find out the concavity in each interval, do we have to find out the second derivative of f, then plug in the numbers and the sign that comes out determines if it's conc up or down?", "session_id": 9614, "sequence_id": 216, "annotations": []}
{"role": "volunteer", "content": "Yes BUT", "session_id": 9614, "sequence_id": 217, "annotations": []}
{"role": "volunteer", "content": "soemtimes you can easily see the sign", "session_id": 9614, "sequence_id": 218, "annotations": []}
{"role": "volunteer", "content": "Would you liek an example?", "session_id": 9614, "sequence_id": 219, "annotations": []}
{"role": "student", "content": "yes", "session_id": 9614, "sequence_id": 220, "annotations": []}
{"role": "volunteer", "content": "Y = x^3 - x", "session_id": 9614, "sequence_id": 221, "annotations": []}
{"role": "volunteer", "content": "what is shte second deriv?", "session_id": 9614, "sequence_id": 222, "annotations": []}
{"role": "volunteer", "content": "Good", "session_id": 9614, "sequence_id": 223, "annotations": []}
{"role": "volunteer", "content": "Now for what x is 6x > 0 ?", "session_id": 9614, "sequence_id": 224, "annotations": []}
{"role": "student", "content": "for numbers more than 0", "session_id": 9614, "sequence_id": 225, "annotations": []}
{"role": "volunteer", "content": "yes good", "session_id": 9614, "sequence_id": 226, "annotations": []}
{"role": "volunteer", "content": "and when is it neg?", "session_id": 9614, "sequence_id": 227, "annotations": []}
{"role": "student", "content": "when is what neg?", "session_id": 9614, "sequence_id": 228, "annotations": []}
{"role": "volunteer", "content": "y''", "session_id": 9614, "sequence_id": 229, "annotations": []}
{"role": "volunteer", "content": "for what x vlaues?", "session_id": 9614, "sequence_id": 230, "annotations": []}
{"role": "student", "content": "when x is neg", "session_id": 9614, "sequence_id": 231, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 9614, "sequence_id": 232, "annotations": []}
{"role": "volunteer", "content": "so I htink that means concave up for x > 0 and concave down fore x < 0", "session_id": 9614, "sequence_id": 233, "annotations": []}
{"role": "volunteer", "content": "but I migth have that reversed", "session_id": 9614, "sequence_id": 234, "annotations": []}
{"role": "volunteer", "content": "I am coreect", "session_id": 9614, "sequence_id": 235, "annotations": []}
{"role": "volunteer", "content": "I grpap[hed", "session_id": 9614, "sequence_id": 236, "annotations": []}
{"role": "volunteer", "content": "it", "session_id": 9614, "sequence_id": 237, "annotations": []}
{"role": "volunteer", "content": "I have 3 minutes", "session_id": 9614, "sequence_id": 238, "annotations": []}
{"role": "student", "content": "okay now it's asking for the inverse of", "session_id": 9614, "sequence_id": 239, "annotations": []}
{"role": "student", "content": "how do we do that?", "session_id": 9614, "sequence_id": 240, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 9614, "sequence_id": 241, "annotations": []}
{"role": "volunteer", "content": "of this function?", "session_id": 9614, "sequence_id": 242, "annotations": []}
{"role": "student", "content": "and it's also asking for the doman of the inverse of f", "session_id": 9614, "sequence_id": 243, "annotations": []}
{"role": "volunteer", "content": "the one we were using?", "session_id": 9614, "sequence_id": 244, "annotations": []}
{"role": "student", "content": "yes this function", "session_id": 9614, "sequence_id": 245, "annotations": []}
{"role": "volunteer", "content": "OK I will give you a three minute expantion", "session_id": 9614, "sequence_id": 246, "annotations": []}
{"role": "volunteer", "content": "we write it as y = x/sqrt(x^2 -9)", "session_id": 9614, "sequence_id": 247, "annotations": []}
{"role": "volunteer", "content": "OK to start?", "session_id": 9614, "sequence_id": 248, "annotations": []}
{"role": "volunteer", "content": "then we repalce y with x and x with y", "session_id": 9614, "sequence_id": 249, "annotations": []}
{"role": "student", "content": "could you write it on the board, I'm more of a visual person", "session_id": 9614, "sequence_id": 250, "annotations": []}
{"role": "volunteer", "content": "Well I do not have my stylus", "session_id": 9614, "sequence_id": 251, "annotations": []}
{"role": "volunteer", "content": "I will try", "session_id": 9614, "sequence_id": 252, "annotations": []}
{"role": "volunteer", "content": "The red is the origianl do ua gree?", "session_id": 9614, "sequence_id": 253, "annotations": []}
{"role": "student", "content": "yes", "session_id": 9614, "sequence_id": 254, "annotations": []}
{"role": "volunteer", "content": "Now I swapped x and Y do u see that? In blue", "session_id": 9614, "sequence_id": 255, "annotations": []}
{"role": "student", "content": "yes", "session_id": 9614, "sequence_id": 256, "annotations": []}
{"role": "volunteer", "content": "Then I think we msut solve for y", "session_id": 9614, "sequence_id": 257, "annotations": []}
{"role": "volunteer", "content": "Can you do that?", "session_id": 9614, "sequence_id": 258, "annotations": []}
{"role": "student", "content": "no, please just do it since you have to go soon also", "session_id": 9614, "sequence_id": 259, "annotations": []}
{"role": "volunteer", "content": "well", "session_id": 9614, "sequence_id": 260, "annotations": []}
{"role": "volunteer", "content": "I am not sure I cna it quickly", "session_id": 9614, "sequence_id": 261, "annotations": []}
{"role": "volunteer", "content": "I will sq both sides", "session_id": 9614, "sequence_id": 262, "annotations": []}
{"role": "student", "content": "so we want y on  one side?", "session_id": 9614, "sequence_id": 263, "annotations": []}
{"role": "volunteer", "content": "I think so", "session_id": 9614, "sequence_id": 264, "annotations": []}
{"role": "volunteer", "content": "I have not doen this in a while Amazing what coaches forget over the summer LOL", "session_id": 9614, "sequence_id": 265, "annotations": []}
{"role": "student", "content": "lol", "session_id": 9614, "sequence_id": 266, "annotations": []}
{"role": "volunteer", "content": "let me think", "session_id": 9614, "sequence_id": 267, "annotations": []}
{"role": "volunteer", "content": "I am thinking", "session_id": 9614, "sequence_id": 268, "annotations": []}
{"role": "volunteer", "content": "I wil  write", "session_id": 9614, "sequence_id": 269, "annotations": []}
{"role": "volunteer", "content": "Does that make snes so far?", "session_id": 9614, "sequence_id": 270, "annotations": []}
{"role": "volunteer", "content": "sense*", "session_id": 9614, "sequence_id": 271, "annotations": []}
{"role": "student", "content": "no cause what did you do with the other y^2?", "session_id": 9614, "sequence_id": 272, "annotations": []}
{"role": "volunteer", "content": "see the pink arrow", "session_id": 9614, "sequence_id": 273, "annotations": []}
{"role": "student", "content": "the are two y^2", "session_id": 9614, "sequence_id": 274, "annotations": []}
{"role": "volunteer", "content": "Yes", "session_id": 9614, "sequence_id": 275, "annotations": []}
{"role": "volunteer", "content": "but I used distributive law", "session_id": 9614, "sequence_id": 276, "annotations": []}
{"role": "student", "content": "but doesn't become y^4?", "session_id": 9614, "sequence_id": 277, "annotations": []}
{"role": "volunteer", "content": "no I subtracte -x^2Y62 from each side", "session_id": 9614, "sequence_id": 278, "annotations": []}
{"role": "student", "content": "oh you didn't show it that's why", "session_id": 9614, "sequence_id": 279, "annotations": []}
{"role": "volunteer", "content": "I mean added -x^2y^2 to eaxh side", "session_id": 9614, "sequence_id": 280, "annotations": []}
{"role": "volunteer", "content": "yes sorry in a hurry", "session_id": 9614, "sequence_id": 281, "annotations": []}
{"role": "volunteer", "content": "Now u can take sq root of each side", "session_id": 9614, "sequence_id": 282, "annotations": []}
{"role": "volunteer", "content": "I msut go now", "session_id": 9614, "sequence_id": 283, "annotations": []}
{"role": "student", "content": "okay bye", "session_id": 9614, "sequence_id": 284, "annotations": []}
{"role": "volunteer", "content": "BYE BYE", "session_id": 9614, "sequence_id": 285, "annotations": []}
{"role": "student", "content": "thanks", "session_id": 9614, "sequence_id": 286, "annotations": []}
{"role": "volunteer", "content": "You are welcome", "session_id": 9614, "sequence_id": 287, "annotations": []}
{"role": "volunteer", "content": "hello", "session_id": 9627, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "hi", "session_id": 9627, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "i wanted help on my hw", "session_id": 9627, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 9627, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "is it hard to read", "session_id": 9627, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "kinda", "session_id": 9627, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "i can read the question tho", "session_id": 9627, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "okk perfect", "session_id": 9627, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "wait", "session_id": 9627, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "i said photographer", "session_id": 9627, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "??", "session_id": 9627, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "is this math or", "session_id": 9627, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "yes geometry", "session_id": 9627, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "ah", "session_id": 9627, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "what grade are you in", "session_id": 9627, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "no i mean", "session_id": 9627, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "what kind of similarity are we talking rn", "session_id": 9627, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "is there any previous questions?", "session_id": 9627, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "yes", "session_id": 9627, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "yeah can i have a preview?", "session_id": 9627, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "does it make more sense", "session_id": 9627, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "trying", "session_id": 9627, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "oh", "session_id": 9627, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "i get it", "session_id": 9627, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "are you a teacher", "session_id": 9627, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "are u studying similar triangle or something like that", "session_id": 9627, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "no", "session_id": 9627, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "im a college student", "session_id": 9627, "sequence_id": 27, "annotations": [{"pii_type": "GRADE_LEVEL", "surrogate": "college student", "start": 5, "end": 20}]}
{"role": "student", "content": "did you learn this before", "session_id": 9627, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "you mean similar triangle or shape?", "session_id": 9627, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 9627, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "yes and dialation", "session_id": 9627, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 9627, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "should i say When designing buildings architects have to create a scaled model or a blueprint. These smaller representations are similar figures to the final structure. This helps them make sure that the sizing of details like windows and doors are in scale to the rest of the house.", "session_id": 9627, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "yeah that could be one", "session_id": 9627, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "this hw might be a intro to similar triangle", "session_id": 9627, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "no", "session_id": 9627, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "this question is opening, so ur chill", "session_id": 9627, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "no?", "session_id": 9627, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "yesss", "session_id": 9627, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "but the homework is similarity", "session_id": 9627, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "what did the teacher talk about during class", "session_id": 9627, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "still similarity?", "session_id": 9627, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "scale factor", "session_id": 9627, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "Sarah", "session_id": 9627, "sequence_id": 44, "annotations": [{"pii_type": "PERSON", "surrogate": "Sarah", "start": 0, "end": 5}]}
{"role": "volunteer", "content": "ok", "session_id": 9627, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "you know what that means right?", "session_id": 9627, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "yes\ud83d\ude2d\ud83d\ude2d", "session_id": 9627, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "ohhh", "session_id": 9627, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "i saw the similarity postulates", "session_id": 9627, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "and that is about  the similar triangle", "session_id": 9627, "sequence_id": 50, "annotations": []}
{"role": "student", "content": "what grade did you get in geometry", "session_id": 9627, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "pretty early", "session_id": 9627, "sequence_id": 52, "annotations": []}
{"role": "student", "content": "huh", "session_id": 9627, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "high school? or even before", "session_id": 9627, "sequence_id": 54, "annotations": [{"pii_type": "GRADE_LEVEL", "surrogate": "high school", "start": 0, "end": 11}]}
{"role": "student", "content": "wait how", "session_id": 9627, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "I'm Korean btw", "session_id": 9627, "sequence_id": 56, "annotations": [{"pii_type": "NRP", "surrogate": "Korean", "start": 4, "end": 10}]}
{"role": "volunteer", "content": ".", "session_id": 9627, "sequence_id": 57, "annotations": []}
{"role": "student", "content": "\ud83d\ude2d\ud83d\ude2d\ud83d\ude2d", "session_id": 9627, "sequence_id": 58, "annotations": []}
{"role": "student", "content": "so what did you do freshmen yea", "session_id": 9627, "sequence_id": 59, "annotations": []}
{"role": "student", "content": "i wish i was smart like you", "session_id": 9627, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "ah, it's kind of weird, I was transferred", "session_id": 9627, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "no", "session_id": 9627, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "you better not", "session_id": 9627, "sequence_id": 63, "annotations": []}
{"role": "student", "content": "lol", "session_id": 9627, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "i mean it's really stressful in Beijing", "session_id": 9627, "sequence_id": 65, "annotations": [{"pii_type": "LOCATION", "surrogate": "Beijing", "start": 32, "end": 39}]}
{"role": "volunteer", "content": "don't be one of those kids", "session_id": 9627, "sequence_id": 66, "annotations": []}
{"role": "student", "content": "whyy", "session_id": 9627, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "you native?", "session_id": 9627, "sequence_id": 68, "annotations": []}
{"role": "student", "content": "idk", "session_id": 9627, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "huge populations, need a competitive education system", "session_id": 9627, "sequence_id": 70, "annotations": []}
{"role": "student", "content": "ohh", "session_id": 9627, "sequence_id": 71, "annotations": []}
{"role": "student", "content": "college is really competitive", "session_id": 9627, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "I think that's the essential reason", "session_id": 9627, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "yea", "session_id": 9627, "sequence_id": 74, "annotations": []}
{"role": "student", "content": "UCLA do you want to go to", "session_id": 9627, "sequence_id": 75, "annotations": [{"pii_type": "SCHOOL", "surrogate": "UCLA", "start": 0, "end": 4}]}
{"role": "volunteer", "content": "lol", "session_id": 9627, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "California", "session_id": 9627, "sequence_id": 77, "annotations": [{"pii_type": "LOCATION", "surrogate": "California", "start": 0, "end": 10}]}
{"role": "volunteer", "content": "or", "session_id": 9627, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "mit if I am lucky", "session_id": 9627, "sequence_id": 79, "annotations": []}
{"role": "student", "content": "you got this!!", "session_id": 9627, "sequence_id": 80, "annotations": []}
{"role": "volunteer", "content": "thank you!", "session_id": 9627, "sequence_id": 81, "annotations": []}
{"role": "student", "content": "so what should i add for my number 2", "session_id": 9627, "sequence_id": 82, "annotations": []}
{"role": "volunteer", "content": "oh", "session_id": 9627, "sequence_id": 83, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 9627, "sequence_id": 84, "annotations": []}
{"role": "volunteer", "content": "is this\"should i say When designing buildings architects have to create a scaled model or a blueprint. These smaller representations are similar figures to the final structure. This helps them make sure that the sizing of details like windows and doors are in scale to the rest of the house.\" your number 2", "session_id": 9627, "sequence_id": 85, "annotations": []}
{"role": "student", "content": "i would but my teacher would think i used ai", "session_id": 9627, "sequence_id": 86, "annotations": []}
{"role": "student", "content": "when i didnt", "session_id": 9627, "sequence_id": 87, "annotations": []}
{"role": "volunteer", "content": "while the prompt said you can google", "session_id": 9627, "sequence_id": 88, "annotations": []}
{"role": "student", "content": "i googled the professions and it popped up", "session_id": 9627, "sequence_id": 89, "annotations": []}
{"role": "volunteer", "content": "what would ur teacher think you would use ai", "session_id": 9627, "sequence_id": 90, "annotations": []}
{"role": "volunteer", "content": "qwq", "session_id": 9627, "sequence_id": 91, "annotations": []}
{"role": "student", "content": "lol bc i used words i mostly never use", "session_id": 9627, "sequence_id": 92, "annotations": []}
{"role": "volunteer", "content": "you junior? btw", "session_id": 9627, "sequence_id": 93, "annotations": [{"pii_type": "GRADE_LEVEL", "surrogate": "junior", "start": 4, "end": 10}]}
{"role": "student", "content": "yes", "session_id": 9627, "sequence_id": 94, "annotations": []}
{"role": "volunteer", "content": "then i think you're good", "session_id": 9627, "sequence_id": 95, "annotations": []}
{"role": "student", "content": "okk", "session_id": 9627, "sequence_id": 96, "annotations": []}
{"role": "student", "content": "Florida", "session_id": 9627, "sequence_id": 97, "annotations": [{"pii_type": "LOCATION", "surrogate": "Florida", "start": 0, "end": 7}]}
{"role": "volunteer", "content": "now you need a third profession", "session_id": 9627, "sequence_id": 98, "annotations": []}
{"role": "student", "content": "yes but im not sure", "session_id": 9627, "sequence_id": 99, "annotations": []}
{"role": "volunteer", "content": "emm", "session_id": 9627, "sequence_id": 100, "annotations": []}
{"role": "volunteer", "content": "oh i have a good one", "session_id": 9627, "sequence_id": 101, "annotations": []}
{"role": "volunteer", "content": "data scientist", "session_id": 9627, "sequence_id": 102, "annotations": []}
{"role": "volunteer", "content": "or data analysts", "session_id": 9627, "sequence_id": 103, "annotations": []}
{"role": "student", "content": "okk", "session_id": 9627, "sequence_id": 104, "annotations": []}
{"role": "volunteer", "content": "they use small size of data to represent the macro society", "session_id": 9627, "sequence_id": 105, "annotations": []}
{"role": "student", "content": "what class do you take", "session_id": 9627, "sequence_id": 106, "annotations": []}
{"role": "volunteer", "content": "like when counting the degree of liking for something, they can't count everyone's, so they just pick random guy to do the survey", "session_id": 9627, "sequence_id": 107, "annotations": []}
{"role": "volunteer", "content": "AP calc bc", "session_id": 9627, "sequence_id": 108, "annotations": []}
{"role": "volunteer", "content": "and AP stats", "session_id": 9627, "sequence_id": 109, "annotations": []}
{"role": "student", "content": "i have the next semester", "session_id": 9627, "sequence_id": 110, "annotations": []}
{"role": "volunteer", "content": "isn't that kind of similarity?", "session_id": 9627, "sequence_id": 111, "annotations": []}
{"role": "student", "content": "but its not ap", "session_id": 9627, "sequence_id": 112, "annotations": []}
{"role": "volunteer", "content": "i mean my explaination", "session_id": 9627, "sequence_id": 113, "annotations": []}
{"role": "volunteer", "content": "oh ok, nice", "session_id": 9627, "sequence_id": 114, "annotations": []}
{"role": "volunteer", "content": "it's really fun", "session_id": 9627, "sequence_id": 115, "annotations": []}
{"role": "student", "content": "what is", "session_id": 9627, "sequence_id": 116, "annotations": []}
{"role": "volunteer", "content": "calc", "session_id": 9627, "sequence_id": 117, "annotations": []}
{"role": "student", "content": "how", "session_id": 9627, "sequence_id": 118, "annotations": []}
{"role": "student", "content": "my friends said its hard", "session_id": 9627, "sequence_id": 119, "annotations": []}
{"role": "volunteer", "content": "i can only say it depends", "session_id": 9627, "sequence_id": 120, "annotations": []}
{"role": "volunteer", "content": "hard but interesting, these aren't contradict", "session_id": 9627, "sequence_id": 121, "annotations": []}
{"role": "student", "content": "lol", "session_id": 9627, "sequence_id": 122, "annotations": []}
{"role": "student", "content": "geometry is boring", "session_id": 9627, "sequence_id": 123, "annotations": []}
{"role": "volunteer", "content": "lowkey yea", "session_id": 9627, "sequence_id": 124, "annotations": []}
{"role": "student", "content": "ty for answering my question", "session_id": 9627, "sequence_id": 125, "annotations": []}
{"role": "volunteer", "content": "np", "session_id": 9627, "sequence_id": 126, "annotations": []}
{"role": "student", "content": "have a good rest of you day", "session_id": 9627, "sequence_id": 127, "annotations": []}
{"role": "volunteer", "content": "have a great day", "session_id": 9627, "sequence_id": 128, "annotations": []}
{"role": "volunteer", "content": "you too", "session_id": 9627, "sequence_id": 129, "annotations": []}
{"role": "student", "content": "Seattle", "session_id": 9627, "sequence_id": 130, "annotations": [{"pii_type": "LOCATION", "surrogate": "Seattle", "start": 0, "end": 7}]}
{"role": "volunteer", "content": "bye", "session_id": 9627, "sequence_id": 131, "annotations": []}
{"role": "student", "content": "David", "session_id": 9627, "sequence_id": 132, "annotations": [{"pii_type": "PERSON", "surrogate": "David", "start": 0, "end": 5}]}
{"role": "volunteer", "content": "Hi Sarah, thanks for using TutorAI. What would you like to work on today?", "session_id": 9621, "sequence_id": 0, "annotations": [{"pii_type": "PERSON", "surrogate": "Sarah", "start": 3, "end": 8}, {"pii_type": "PERSON", "surrogate": "TutorAI", "start": 27, "end": 34}]}
{"role": "student", "content": "how do i simplify a radical??", "session_id": 9621, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "Do you know how to remove radical from denominator of a fraction?", "session_id": 9621, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "not really my teacher hasnt got to that yet", "session_id": 9621, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "OK, how about this one...", "session_id": 9621, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "yes its like that", "session_id": 9621, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "Let's identify some of the perfect squares we know about...what is 2^2?", "session_id": 9621, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "ummm i dont know that one...", "session_id": 9621, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "Maybe you don't recognize the ^ symbol, I'll write on whiteboard...", "session_id": 9621, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "ohh 4", "session_id": 9621, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "OK great. Let's write down a few more. What is 3^2", "session_id": 9621, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "9", "session_id": 9621, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "4^2", "session_id": 9621, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "?", "session_id": 9621, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "16", "session_id": 9621, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "and 5^2 = ?", "session_id": 9621, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "25", "session_id": 9621, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "Great. Now look at the radical we're trying to simplify, and see if the number is evenly divisible by any of these perfect squares in order.", "session_id": 9621, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "So is 18 evenly divisible by 4?", "session_id": 9621, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "no its not", "session_id": 9621, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "Is it evenly divisible by 9?", "session_id": 9621, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "no", "session_id": 9621, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "Hmm, please try https://www.math.com/simplifymplify 18/9", "session_id": 9621, "sequence_id": 22, "annotations": [{"pii_type": "URL", "surrogate": "https://www.math.com/simplify", "start": 16, "end": 45}]}
{"role": "student", "content": "ohhhh sorry it is..", "session_id": 9621, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "its 2", "session_id": 9621, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "Great. So we rewrite 18 as 9*2. I'll put that on the whiteboard.", "session_id": 9621, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "okay", "session_id": 9621, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "Now the interesting part is that when you have the square root of a product of two numbers, you can rewrite it as the product of the square roots of those number. That's a lot of numbers, so I just put that on the whiteboard.", "session_id": 9621, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "Does that make sens?", "session_id": 9621, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "yes it does", "session_id": 9621, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "Can you take the next step in simplifying?", "session_id": 9621, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "I'll try to help. Earlier we made a table of perfect squares. I'm going to rewrite that as table of square roots...", "session_id": 9621, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "okay", "session_id": 9621, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "Oops I'm having trouble with the whiteboard", "session_id": 9621, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "Do you see how that second table of sqrt is related to the first table of ^2?", "session_id": 9621, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "yes i do", "session_id": 9621, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "Good. So what can you use to simplify the problem we're working on over on the left?", "session_id": 9621, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "you want me to show you my problem on my homework?", "session_id": 9621, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "Let's wrap this problem up, we're almost there...", "session_id": 9621, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "ohh okay", "session_id": 9621, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "We can replace sqrt(9) with ... ?", "session_id": 9621, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "3?", "session_id": 9621, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "Yes. So let me put that into the problem...", "session_id": 9621, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "okay", "session_id": 9621, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "So that's as far as we can go with my problem. We simplified the radical sqrt(18) to 3*sqrt(2). I'll rewrite that with square root symbols just to make it more clear for you.", "session_id": 9621, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "If that makes sense let's go to your problem", "session_id": 9621, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "okay", "session_id": 9621, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "sorry its messy", "session_id": 9621, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "No problem. Let's start asking the same questions. Is your number divisible by the perfect squares in that first table.", "session_id": 9621, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "i dont think so", "session_id": 9621, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "I circled the important numbers. You need to go through them one by one and see if your number under the radical is divisible by these numbers.", "session_id": 9621, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "So we start with: 125 divisible by 4?", "session_id": 9621, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "no its not", "session_id": 9621, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "What's the next thing to check?", "session_id": 9621, "sequence_id": 53, "annotations": []}
{"role": "student", "content": "9", "session_id": 9621, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "125 divisible by 9?", "session_id": 9621, "sequence_id": 55, "annotations": []}
{"role": "student", "content": "no", "session_id": 9621, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "Next...", "session_id": 9621, "sequence_id": 57, "annotations": []}
{"role": "student", "content": "16", "session_id": 9621, "sequence_id": 58, "annotations": []}
{"role": "student", "content": "its not", "session_id": 9621, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "divisible?", "session_id": 9621, "sequence_id": 60, "annotations": []}
{"role": "student", "content": "no", "session_id": 9621, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "please keep going", "session_id": 9621, "sequence_id": 62, "annotations": []}
{"role": "student", "content": "25", "session_id": 9621, "sequence_id": 63, "annotations": []}
{"role": "student", "content": "is divided by 5", "session_id": 9621, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "Yay! So rewrite  125 as 25*5 in your problem on the whiteboard.", "session_id": 9621, "sequence_id": 65, "annotations": []}
{"role": "student", "content": "okay", "session_id": 9621, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "Close, but the 25 still needs to be under the radical.", "session_id": 9621, "sequence_id": 67, "annotations": []}
{"role": "student", "content": "ohhh", "session_id": 9621, "sequence_id": 68, "annotations": []}
{"role": "student", "content": "like that", "session_id": 9621, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "Not quite, let me help...", "session_id": 9621, "sequence_id": 70, "annotations": []}
{"role": "student", "content": "okay", "session_id": 9621, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "So the 25 and 5 are still both under the radical.", "session_id": 9621, "sequence_id": 72, "annotations": []}
{"role": "student", "content": "ohh", "session_id": 9621, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "Now you split it so they are each under their own radical.", "session_id": 9621, "sequence_id": 74, "annotations": []}
{"role": "volunteer", "content": "Excellent. Now one last step, we know that 25 is special because that was in our table. So we can simplify sqrt(25)", "session_id": 9621, "sequence_id": 75, "annotations": []}
{"role": "student", "content": "it would be 5", "session_id": 9621, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "OK. Please put that on the whiteboard to finish the problem.", "session_id": 9621, "sequence_id": 77, "annotations": []}
{"role": "student", "content": "so how would i write that", "session_id": 9621, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "I helped you out because whiteboard is tricky", "session_id": 9621, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "Does that all make sense?", "session_id": 9621, "sequence_id": 80, "annotations": []}
{"role": "student", "content": "yes it does", "session_id": 9621, "sequence_id": 81, "annotations": []}
{"role": "volunteer", "content": "Do you want to work on any other problems?", "session_id": 9621, "sequence_id": 82, "annotations": []}
{"role": "student", "content": "yes", "session_id": 9621, "sequence_id": 83, "annotations": []}
{"role": "student", "content": "please", "session_id": 9621, "sequence_id": 84, "annotations": []}
{"role": "volunteer", "content": "Go ahead", "session_id": 9621, "sequence_id": 85, "annotations": []}
{"role": "student", "content": "i have no clue on how to do that", "session_id": 9621, "sequence_id": 86, "annotations": []}
{"role": "volunteer", "content": "No problem. Just focus on the part under the radical first. Remember we check if it can be divided by any perfect squares. So what is the first thing to check (hint, I circled the numbers earlier)", "session_id": 9621, "sequence_id": 87, "annotations": []}
{"role": "student", "content": "none of them can go into 27", "session_id": 9621, "sequence_id": 88, "annotations": []}
{"role": "volunteer", "content": "Are you sure? What numbers are you checking into 27?", "session_id": 9621, "sequence_id": 89, "annotations": []}
{"role": "student", "content": "9!!", "session_id": 9621, "sequence_id": 90, "annotations": []}
{"role": "volunteer", "content": "So rewrite 27 as ___ * ___", "session_id": 9621, "sequence_id": 91, "annotations": []}
{"role": "student", "content": "like that", "session_id": 9621, "sequence_id": 92, "annotations": []}
{"role": "volunteer", "content": "27=9*3, so you still need the 3", "session_id": 9621, "sequence_id": 93, "annotations": []}
{"role": "student", "content": "ohh", "session_id": 9621, "sequence_id": 94, "annotations": []}
{"role": "volunteer", "content": "Let me draw for a sec...", "session_id": 9621, "sequence_id": 95, "annotations": []}
{"role": "student", "content": "okay", "session_id": 9621, "sequence_id": 96, "annotations": []}
{"role": "volunteer", "content": "Do you see that all I did was replace 27  with 9*3 ?", "session_id": 9621, "sequence_id": 97, "annotations": []}
{"role": "student", "content": "yes", "session_id": 9621, "sequence_id": 98, "annotations": []}
{"role": "volunteer", "content": "OK, now you can turn that single radical into two radicals", "session_id": 9621, "sequence_id": 99, "annotations": []}
{"role": "volunteer", "content": "And what goes inside?", "session_id": 9621, "sequence_id": 100, "annotations": []}
{"role": "student", "content": "umm", "session_id": 9621, "sequence_id": 101, "annotations": []}
{"role": "volunteer", "content": "What goes inside each of those radicals?", "session_id": 9621, "sequence_id": 102, "annotations": []}
{"role": "student", "content": "9 and 27???", "session_id": 9621, "sequence_id": 103, "annotations": []}
{"role": "volunteer", "content": "Close, but you just take what was inside the previous and copy it...", "session_id": 9621, "sequence_id": 104, "annotations": []}
{"role": "student", "content": "so 9 and 3?", "session_id": 9621, "sequence_id": 105, "annotations": []}
{"role": "volunteer", "content": "Yes!", "session_id": 9621, "sequence_id": 106, "annotations": []}
{"role": "student", "content": "ohhh", "session_id": 9621, "sequence_id": 107, "annotations": []}
{"role": "volunteer", "content": "So this problem is almost done, but do either of those radicals simplify further?", "session_id": 9621, "sequence_id": 108, "annotations": []}
{"role": "student", "content": "9", "session_id": 9621, "sequence_id": 109, "annotations": []}
{"role": "volunteer", "content": "Can you write it please?", "session_id": 9621, "sequence_id": 110, "annotations": []}
{"role": "student", "content": "like that", "session_id": 9621, "sequence_id": 111, "annotations": []}
{"role": "volunteer", "content": "Close. But what I was looking for was to use the equation for sqrt(9) from earlier. I'll circle it above", "session_id": 9621, "sequence_id": 112, "annotations": []}
{"role": "student", "content": "oh", "session_id": 9621, "sequence_id": 113, "annotations": []}
{"role": "volunteer", "content": "Does that make sense?", "session_id": 9621, "sequence_id": 114, "annotations": []}
{"role": "student", "content": "yes", "session_id": 9621, "sequence_id": 115, "annotations": []}
{"role": "volunteer", "content": "And now simplify 2*3", "session_id": 9621, "sequence_id": 116, "annotations": []}
{"role": "student", "content": "ok", "session_id": 9621, "sequence_id": 117, "annotations": []}
{"role": "volunteer", "content": "I must go but I think you're starting to get the idea.", "session_id": 9621, "sequence_id": 118, "annotations": []}
{"role": "student", "content": "okay thanks", "session_id": 9621, "sequence_id": 119, "annotations": []}
{"role": "volunteer", "content": "To summarize, look at the number under the radical, and see if you can divide it by a perfect square (4 or 9 or 16 or 25)", "session_id": 9621, "sequence_id": 120, "annotations": []}
{"role": "volunteer", "content": "Then rewrite as product and break it into two radicals, then simplify", "session_id": 9621, "sequence_id": 121, "annotations": []}
{"role": "student", "content": "okayy", "session_id": 9621, "sequence_id": 122, "annotations": []}
{"role": "volunteer", "content": "I must go but please open another session if you need more help.", "session_id": 9621, "sequence_id": 123, "annotations": []}
{"role": "student", "content": "okay i will", "session_id": 9621, "sequence_id": 124, "annotations": []}
{"role": "volunteer", "content": "Hey, how are you?", "session_id": 9654, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "how may I help you?", "session_id": 9654, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "ggood", "session_id": 9654, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "and you", "session_id": 9654, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "need help on my homework", "session_id": 9654, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "I am doing great myself", "session_id": 9654, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "I understand", "session_id": 9654, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "alright", "session_id": 9654, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "Do you have any specific questions within these problems?", "session_id": 9654, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "yea", "session_id": 9654, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "sure, ask away!!", "session_id": 9654, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "that's the specific question I got to answer", "session_id": 9654, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "I think the question got cut off a bit", "session_id": 9654, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "you might have to reupload it", "session_id": 9654, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "but let us solve question number 3 and 4 first", "session_id": 9654, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "sounds good?", "session_id": 9654, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "This series of problems will build your fluency with finding a pattern of change and using that information to classify the function. For each question below, find the pattern of change, classify the function as linear, exponential, or quadratic. For linear functions, name the slope. For exponential functions, name the growth/decay factor.", "session_id": 9654, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "yea", "session_id": 9654, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "but this problem is asking for us to solve the question given below", "session_id": 9654, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "if you could share the questions given below this, it would be great!'", "session_id": 9654, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "yea but also to find if its linear,exponential, or quadratic", "session_id": 9654, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "yes, but it is asking us to find those for the questions given below", "session_id": 9654, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "ok", "session_id": 9654, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "let find it then", "session_id": 9654, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "if you could upload a picture of those questions, that would be great!", "session_id": 9654, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "ok", "session_id": 9654, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "Hey I am sorry, but this is the same image you uploaded earlier", "session_id": 9654, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "yea and the one I'm moving is the actually question", "session_id": 9654, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "oh I figured", "session_id": 9654, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "sorry for the trouble", "session_id": 9654, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "but ok, let us solve it", "session_id": 9654, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "so do you know how to approach the first problem?", "session_id": 9654, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "no", "session_id": 9654, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "maybe by using Ax+bx+c equatio", "session_id": 9654, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "that is fine, but think about what the question is asking for", "session_id": 9654, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "what does it want you to find?", "session_id": 9654, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "the maxum area", "session_id": 9654, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "Maximum area", "session_id": 9654, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "yes, correct!", "session_id": 9654, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "and do you know how to find the area in general?", "session_id": 9654, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "Area= base times height", "session_id": 9654, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "totally right", "session_id": 9654, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "now, what is given in the question?", "session_id": 9654, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "as a rule of thumb, it is best practice to write down whatever is given", "session_id": 9654, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "that way, you wouldn't be confused about the question as much", "session_id": 9654, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "80 feet", "session_id": 9654, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "where to enclose a rectangular space", "session_id": 9654, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "you got it!", "session_id": 9654, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "so, you have officially completed almost half of the problem", "session_id": 9654, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "the other half is just figuring the equation and solving", "session_id": 9654, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "since the length and width are not given, we must assume two different variables for it", "session_id": 9654, "sequence_id": 50, "annotations": []}
{"role": "student", "content": "ok", "session_id": 9654, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "but how do find the equation and solve it", "session_id": 9654, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "that is a great question", "session_id": 9654, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "to find that out, you must read the question very carefully", "session_id": 9654, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "in that how many sides does farmer Sarah intend to enclose?", "session_id": 9654, "sequence_id": 55, "annotations": [{"pii_type": "PERSON", "surrogate": "Sarah", "start": 35, "end": 40}]}
{"role": "student", "content": "one side", "session_id": 9654, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "yes, one side is already closed", "session_id": 9654, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "because she is joining it with her backyard fence", "session_id": 9654, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "how many sides are remaining?", "session_id": 9654, "sequence_id": 59, "annotations": []}
{"role": "student", "content": "three sides", "session_id": 9654, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "great job!", "session_id": 9654, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "and in those three sides how many of those are the \"length\" and how many of those are the \"width\"?", "session_id": 9654, "sequence_id": 62, "annotations": []}
{"role": "student", "content": "2 width 1 length", "session_id": 9654, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "great!!", "session_id": 9654, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "I am going to be writing this on the whiteboard, so it is easier for you to follow along", "session_id": 9654, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "so using the given information, how can you write an equation?", "session_id": 9654, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "equation for the length of the fence**", "session_id": 9654, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "or in other words the perimeter of the three sides", "session_id": 9654, "sequence_id": 68, "annotations": []}
{"role": "student", "content": "A= 2b times L", "session_id": 9654, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "A = 2w + l; Amazing work!!", "session_id": 9654, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "actually it is the perimeter, so P = 2w+l", "session_id": 9654, "sequence_id": 71, "annotations": []}
{"role": "student", "content": "ok", "session_id": 9654, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "so, what do you set the equation equal to?", "session_id": 9654, "sequence_id": 73, "annotations": []}
{"role": "student", "content": "I dont know", "session_id": 9654, "sequence_id": 74, "annotations": []}
{"role": "volunteer", "content": "ok that is totally fine!", "session_id": 9654, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "how long are the length of the three sides, in other words: what is the length of the fencing she bought to enclose the three sides?", "session_id": 9654, "sequence_id": 76, "annotations": []}
{"role": "student", "content": "80 feet", "session_id": 9654, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "good job!!!", "session_id": 9654, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "so now we know the perimeter, and we have the sides", "session_id": 9654, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "could you find the area?", "session_id": 9654, "sequence_id": 80, "annotations": []}
{"role": "student", "content": "wait but how I'm confuses", "session_id": 9654, "sequence_id": 81, "annotations": []}
{"role": "volunteer", "content": "it is totally fine", "session_id": 9654, "sequence_id": 82, "annotations": []}
{"role": "volunteer", "content": "so, in the beginning you told me the generic formula for area", "session_id": 9654, "sequence_id": 83, "annotations": []}
{"role": "student", "content": "ok", "session_id": 9654, "sequence_id": 84, "annotations": []}
{"role": "volunteer", "content": "how do you find the area?", "session_id": 9654, "sequence_id": 85, "annotations": []}
{"role": "volunteer", "content": "length X width right?", "session_id": 9654, "sequence_id": 86, "annotations": []}
{"role": "student", "content": "yea", "session_id": 9654, "sequence_id": 87, "annotations": []}
{"role": "volunteer", "content": "so, what is the length X width for this question?", "session_id": 9654, "sequence_id": 88, "annotations": []}
{"role": "student", "content": "80 feet", "session_id": 9654, "sequence_id": 89, "annotations": []}
{"role": "volunteer", "content": "hmmm, try again", "session_id": 9654, "sequence_id": 90, "annotations": []}
{"role": "volunteer", "content": "80 feet is the length of the fencing, not the area", "session_id": 9654, "sequence_id": 91, "annotations": []}
{"role": "student", "content": "80 x w = A", "session_id": 9654, "sequence_id": 92, "annotations": []}
{"role": "volunteer", "content": "hmmm", "session_id": 9654, "sequence_id": 93, "annotations": []}
{"role": "volunteer", "content": "not really, try again, you got this!", "session_id": 9654, "sequence_id": 94, "annotations": []}
{"role": "volunteer", "content": "ok, so what are the sides for length and width", "session_id": 9654, "sequence_id": 95, "annotations": []}
{"role": "student", "content": "to enclose the regular space", "session_id": 9654, "sequence_id": 96, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 9654, "sequence_id": 97, "annotations": []}
{"role": "volunteer", "content": "what two sides did we decide on?", "session_id": 9654, "sequence_id": 98, "annotations": []}
{"role": "student", "content": "2w", "session_id": 9654, "sequence_id": 99, "annotations": []}
{"role": "student", "content": "the width", "session_id": 9654, "sequence_id": 100, "annotations": []}
{"role": "volunteer", "content": "yes, and?", "session_id": 9654, "sequence_id": 101, "annotations": []}
{"role": "student", "content": "and length", "session_id": 9654, "sequence_id": 102, "annotations": []}
{"role": "volunteer", "content": "correct", "session_id": 9654, "sequence_id": 103, "annotations": []}
{"role": "volunteer", "content": "now what do you do with those sides to find the area?", "session_id": 9654, "sequence_id": 104, "annotations": []}
{"role": "student", "content": "multiple to find the area", "session_id": 9654, "sequence_id": 105, "annotations": []}
{"role": "volunteer", "content": "correct", "session_id": 9654, "sequence_id": 106, "annotations": []}
{"role": "volunteer", "content": "but we have two variables", "session_id": 9654, "sequence_id": 107, "annotations": []}
{"role": "volunteer", "content": "do you know how to proceed from there?", "session_id": 9654, "sequence_id": 108, "annotations": []}
{"role": "student", "content": "yes", "session_id": 9654, "sequence_id": 109, "annotations": []}
{"role": "volunteer", "content": "ok, walk me through the next step", "session_id": 9654, "sequence_id": 110, "annotations": []}
{"role": "student", "content": "so basically 80 feet is the minimum and close one side so to close all sides, this is not a square is a rectangle so 80 on both sides", "session_id": 9654, "sequence_id": 111, "annotations": []}
{"role": "student", "content": "wait NVM got confused", "session_id": 9654, "sequence_id": 112, "annotations": []}
{"role": "volunteer", "content": "see, 80 is the length of fence that she used to enclose three sides of the full fence", "session_id": 9654, "sequence_id": 113, "annotations": []}
{"role": "volunteer", "content": "one side is already closed", "session_id": 9654, "sequence_id": 114, "annotations": []}
{"role": "volunteer", "content": "and we want to find the area", "session_id": 9654, "sequence_id": 115, "annotations": []}
{"role": "student", "content": "so do you mean 80 times 80", "session_id": 9654, "sequence_id": 116, "annotations": []}
{"role": "volunteer", "content": "no, not really... but I see where you're getting at", "session_id": 9654, "sequence_id": 117, "annotations": []}
{"role": "volunteer", "content": "80 has nothing to do with the area", "session_id": 9654, "sequence_id": 118, "annotations": []}
{"role": "volunteer", "content": "it is just the perimeter", "session_id": 9654, "sequence_id": 119, "annotations": []}
{"role": "student", "content": "80= 2L+2w", "session_id": 9654, "sequence_id": 120, "annotations": []}
{"role": "volunteer", "content": "that is the perimeter formula, you are right", "session_id": 9654, "sequence_id": 121, "annotations": []}
{"role": "student", "content": "so basically", "session_id": 9654, "sequence_id": 122, "annotations": []}
{"role": "student", "content": "20 times 20", "session_id": 9654, "sequence_id": 123, "annotations": []}
{"role": "volunteer", "content": "mhm, where the 20?", "session_id": 9654, "sequence_id": 124, "annotations": []}
{"role": "student", "content": "because 2(20) = 40 so 40+40=80", "session_id": 9654, "sequence_id": 125, "annotations": []}
{"role": "volunteer", "content": "you are very close", "session_id": 9654, "sequence_id": 126, "annotations": []}
{"role": "volunteer", "content": "so in that case what is the area?", "session_id": 9654, "sequence_id": 127, "annotations": []}
{"role": "student", "content": "40", "session_id": 9654, "sequence_id": 128, "annotations": []}
{"role": "volunteer", "content": "ok, you are a tad bit off, but that is okay!", "session_id": 9654, "sequence_id": 129, "annotations": []}
{"role": "volunteer", "content": "now let us solve the rest of the question properly", "session_id": 9654, "sequence_id": 130, "annotations": []}
{"role": "volunteer", "content": "you see what I did there?", "session_id": 9654, "sequence_id": 131, "annotations": []}
{"role": "student", "content": "ok", "session_id": 9654, "sequence_id": 132, "annotations": []}
{"role": "volunteer", "content": "I solved for w in terms of l and plugged it into the equation", "session_id": 9654, "sequence_id": 133, "annotations": []}
{"role": "student", "content": "hold on give me a second", "session_id": 9654, "sequence_id": 134, "annotations": []}
{"role": "volunteer", "content": "aight", "session_id": 9654, "sequence_id": 135, "annotations": []}
{"role": "student", "content": "ok", "session_id": 9654, "sequence_id": 136, "annotations": []}
{"role": "volunteer", "content": "hey, I am so sorry, but with the interest of time, I might have to end this session", "session_id": 9654, "sequence_id": 137, "annotations": []}
{"role": "volunteer", "content": "sorry for not being able to answer your question", "session_id": 9654, "sequence_id": 138, "annotations": []}
{"role": "volunteer", "content": "you could schedule another session, another volunteer could answer your question!!", "session_id": 9654, "sequence_id": 139, "annotations": []}
{"role": "volunteer", "content": "sorry, and have a good one!!", "session_id": 9654, "sequence_id": 140, "annotations": []}
{"role": "volunteer", "content": "Hi!", "session_id": 9809, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "hello!", "session_id": 9809, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "What do you need help with?", "session_id": 9809, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "can you help me solve a question about volume?", "session_id": 9809, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "Sure!", "session_id": 9809, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "okk let me just upload the pics", "session_id": 9809, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 9809, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "can you see them?", "session_id": 9809, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "Yes!", "session_id": 9809, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "perfect!", "session_id": 9809, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "Ok do you want to start by calculating the area of the top of object?", "session_id": 9809, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "im pretty sure the 8 is supposed to be a 9", "session_id": 9809, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "Yep!", "session_id": 9809, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "So, I have broken the top into 2 parts. Can you tell me the areas of the two parts?", "session_id": 9809, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "i 8!", "session_id": 9809, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "oh ok", "session_id": 9809, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "63 and 6", "session_id": 9809, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "wait no", "session_id": 9809, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "Correct! so when those are added together, we get 69. So now, if we multiple 69 by a height of two, what are do you get?", "session_id": 9809, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "wait i though i did it wrong..", "session_id": 9809, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "cuz i multiplied 9\u00d77, but I didn\u2019t see the two", "session_id": 9809, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "138", "session_id": 9809, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "138 is correct but I don't see it as a choice so I think the blooket is wrong", "session_id": 9809, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "Yeah, I think you\u2019re right. I\u2019m just gonna choose an answer and then we\u2019ll see which ones actually, right", "session_id": 9809, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "it said 135 was the right answer", "session_id": 9809, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "Well, I think it is wrong but I suggest that you also check with your teacher :)", "session_id": 9809, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "Is there anything else you need help with?", "session_id": 9809, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "I would do so, thank you so much for being patient and helping me. Have a great rest of your night!", "session_id": 9809, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "nope!", "session_id": 9809, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "You too!", "session_id": 9809, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "Hi! I would like help on this assignment please.", "session_id": 9658, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "Sure", "session_id": 9658, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "Thank you", "session_id": 9658, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "so its D?", "session_id": 9658, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "Ok so since shape is symmetrical at the y-axis, it means that there is the same amount of units left and right. So yeah its D", "session_id": 9658, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": ":D good job", "session_id": 9658, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "thank you!", "session_id": 9658, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "Do you need help with any other problems?", "session_id": 9658, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "yeah this one, please", "session_id": 9658, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "Ok so to find the answer, you can look at how the coordinates changed. Let look at J and E", "session_id": 9658, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "What answer choices can create the change in J and E", "session_id": 9658, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "wait so its B?or D", "session_id": 9658, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "because y is the same but x is the opposite", "session_id": 9658, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "When you reflect across the x-axis, y-value becomes the opposite, and when you reflect across the y-axis, the x-value becomes the opposite.", "session_id": 9658, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "okay so its D?", "session_id": 9658, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "Not quite. relfecting acorss the y-axis flips the x values", "session_id": 9658, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "Evelyn Ohhhh its B..?", "session_id": 9658, "sequence_id": 16, "annotations": [{"pii_type": "PERSON", "surrogate": "Evelyn", "start": 0, "end": 6}]}
{"role": "volunteer", "content": "Yes!", "session_id": 9658, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "Thank youuuu!", "session_id": 9658, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "No problem!", "session_id": 9658, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "Do you have any other problems?", "session_id": 9658, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "yes, so sorry", "session_id": 9658, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "That's fine", "session_id": 9658, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "okay on this one I have to Reflect the polygon on the graph below over the y -axis.", "session_id": 9658, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "soo I'm guessing only on the x I flip it ? so if its -9 it'll be 9?", "session_id": 9658, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 9658, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "okay so I change every single x-axis? but the y remains the same?", "session_id": 9658, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "Yes, all x's beome their oppsite and the y-value stays the same!", "session_id": 9658, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "okayyy thank you so much for your help today I really appreciate it!!", "session_id": 9658, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "It's no problem!", "session_id": 9658, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "oh that was pretty fast", "session_id": 9874, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "Hello, what do you need help with today?", "session_id": 9874, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "I would like to review a couple questions", "session_id": 9874, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "Sure what are the problems", "session_id": 9874, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "a mixture of algebra geometry stastics/Probabilty and arithmetic", "session_id": 9874, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "Okay", "session_id": 9874, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "is it alright if I screenshare it much easier for me", "session_id": 9874, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "Yes", "session_id": 9874, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "this the first one", "session_id": 9874, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "Okay let me take a look", "session_id": 9874, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "k", "session_id": 9874, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "Okay how did you start off this problem", "session_id": 9874, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "can I do it on the board", "session_id": 9874, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "Yes", "session_id": 9874, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "that the first step I took", "session_id": 9874, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "Okay and that is for JM then", "session_id": 9874, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "yes", "session_id": 9874, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "Ok and based on the ratio 2:1:3 they give us we can say that JK = 2x, KL = 1x, and LM: 3x", "session_id": 9874, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 9874, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "Okay then by adding up all the ratios, you would get 6x and you can use this with the 24 to find x", "session_id": 9874, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "alrighty", "session_id": 9874, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "is the way I took good?", "session_id": 9874, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "Yes i think so", "session_id": 9874, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "ok les go to next problem", "session_id": 9874, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "Okay", "session_id": 9874, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "Ok dis another one", "session_id": 9874, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "Ok let me see", "session_id": 9874, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "Ok this one i think you can just solve for q in each equation to see if it will be positive", "session_id": 9874, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "Is that how you tried it?", "session_id": 9874, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "no I just guessed this one", "session_id": 9874, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "Okay so for equation A you can solve for q and it would be 1= 1/r^2 right", "session_id": 9874, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "yea", "session_id": 9874, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "and by looking if r is squared it will never be negative and 1/+ is positive, so then q must be positive", "session_id": 9874, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "did that make sense", "session_id": 9874, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "OHHH just give the letter the value of 1?", "session_id": 9874, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "and trial and error?", "session_id": 9874, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "Basically", "session_id": 9874, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "OHHH", "session_id": 9874, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "Ok yeah that makes my life way much easier XD", "session_id": 9874, "sequence_id": 38, "annotations": []}
{"role": "student", "content": ":)", "session_id": 9874, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "the second one you dont really need to solve because you can just look at it", "session_id": 9874, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "Okay thats good", "session_id": 9874, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "wait but how abt the 3rd", "session_id": 9874, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "cuz isn't that true?", "session_id": 9874, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "Not really because if you solve for q it would be 1/r", "session_id": 9874, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "R isnt squared and doesnt have any other property so we dont know if its going to be positive or negative", "session_id": 9874, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "Maybe plugging in 1 and -1 would work better to confirm", "session_id": 9874, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "ok", "session_id": 9874, "sequence_id": 47, "annotations": []}
{"role": "student", "content": "yeah it seems pretty easy now", "session_id": 9874, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "Okay good", "session_id": 9874, "sequence_id": 49, "annotations": []}
{"role": "student", "content": "ok dis another one too", "session_id": 9874, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "Alright", "session_id": 9874, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "Okay so first I would find how many ties are either purple or striped", "session_id": 9874, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "Okay and since they said out of the 8 purple ties 5 are striped we are kind of double counting 5 striped ties", "session_id": 9874, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "if that makes sense", "session_id": 9874, "sequence_id": 54, "annotations": []}
{"role": "student", "content": "wait why", "session_id": 9874, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "Because it first said there are 8 purple ties and 32 striped ones", "session_id": 9874, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "and of the 8, 5 are striped", "session_id": 9874, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "So im thinking its saying that 5 are both purple and striped", "session_id": 9874, "sequence_id": 58, "annotations": []}
{"role": "student", "content": "wait so wouldn't mean that 5 are included in those 8 tho", "session_id": 9874, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "So you can either take (8-5) + 32 or 8+32 -5", "session_id": 9874, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "Yes but the way we set it up as 8+32 i think we are double counting the 5 ties", "session_id": 9874, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "Maybe check the explanation to make sure", "session_id": 9874, "sequence_id": 62, "annotations": []}
{"role": "student", "content": "wait lemme try to comprehend dis", "session_id": 9874, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "Okay", "session_id": 9874, "sequence_id": 64, "annotations": []}
{"role": "student", "content": "Oh so the 5 purple stripes are seperate", "session_id": 9874, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "Kind of", "session_id": 9874, "sequence_id": 66, "annotations": []}
{"role": "student", "content": "ok that makes more sense", "session_id": 9874, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "I thought of another way to do it that might be easier", "session_id": 9874, "sequence_id": 68, "annotations": []}
{"role": "student", "content": "?\\", "session_id": 9874, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "By keeping the 40 total that we have", "session_id": 9874, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "of striped and purple ties", "session_id": 9874, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "You can then take the total ties (60) - total purple/striped ties (40) = 20, then just add the 5 ties that are both", "session_id": 9874, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "then you can find the probability or how many are not purple and dont have stripes", "session_id": 9874, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "I dont know if that made it any easier", "session_id": 9874, "sequence_id": 74, "annotations": []}
{"role": "student", "content": "it did", "session_id": 9874, "sequence_id": 75, "annotations": []}
{"role": "student", "content": "thx", "session_id": 9874, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "Okay great", "session_id": 9874, "sequence_id": 77, "annotations": []}
{"role": "student", "content": "srry Mark my battery 5% igtg", "session_id": 9874, "sequence_id": 78, "annotations": [{"pii_type": "PERSON", "surrogate": "Mark", "start": 5, "end": 9}]}
{"role": "student", "content": "sorry", "session_id": 9874, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "Okay, have a good day", "session_id": 9874, "sequence_id": 80, "annotations": []}
{"role": "student", "content": "you too", "session_id": 9874, "sequence_id": 81, "annotations": []}
{"role": "student", "content": "thank u so much", "session_id": 9874, "sequence_id": 82, "annotations": []}
{"role": "volunteer", "content": "No problem", "session_id": 9874, "sequence_id": 83, "annotations": []}
{"role": "volunteer", "content": "Maria", "session_id": 9849, "sequence_id": 0, "annotations": [{"pii_type": "PERSON", "surrogate": "Maria", "start": 0, "end": 5}]}
{"role": "volunteer", "content": "how can i help?", "session_id": 9849, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "HI i just want to go over a question, i am going to put it on the whiteboard", "session_id": 9849, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "okay", "session_id": 9849, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "i know how to find the derivative but i am confused on how to solve this question type", "session_id": 9849, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "okay", "session_id": 9849, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "so it really consists of two parts", "session_id": 9849, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "let x = the walking distance for when youre getting into the water", "session_id": 9849, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "well", "session_id": 9849, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "x is horizontal position on how far you are from point P", "session_id": 9849, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "and 60-x is how far you get there", "session_id": 9849, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "and 60 is how far, perpendicularly, the point is from the shore", "session_id": 9849, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "so its a right triangle", "session_id": 9849, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "so youre trying to solve for time give distance", "session_id": 9849, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "makes sense, how would that be formatted into a function? is there a specific formula to plug into?", "session_id": 9849, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "we can use the pythagorean theorem", "session_id": 9849, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "and the rates of walking and swimming", "session_id": 9849, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "so let me show it like this", "session_id": 9849, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "also, in this, we can make distance = x", "session_id": 9849, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "does that make sense?", "session_id": 9849, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "yes that makes sense, so how would that be formatted? because i am confused on how the speed and distance translate into the final function of T", "session_id": 9849, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "great question", "session_id": 9849, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "remember that rate deals with m/s so thats were time comes in", "session_id": 9849, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "and x is distance (m) so it cancels out, basically", "session_id": 9849, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "makes sense, so in that sense thats how the function output is time right", "session_id": 9849, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "yes, exactly", "session_id": 9849, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "so for example if i got this question on an assigment or quiz, how would i go about deriving the equation for part A", "session_id": 9849, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "what would be the first steps and how would i go from there to the final function", "session_id": 9849, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "okay", "session_id": 9849, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "so i didnt explain all the steps thoroughly", "session_id": 9849, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "but firstly", "session_id": 9849, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "1. identify the right triangle", "session_id": 9849, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "we have the triangle which helps us understand that we are dealing with the pythagorean theorem", "session_id": 9849, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "2. identify a, b, and c", "session_id": 9849, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "is there a specific reason as to what we put as A, B and C? or is it general", "session_id": 9849, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "yes, there are specifics", "session_id": 9849, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "in the picture, the running is one side of the triangle and the other side is the swimming", "session_id": 9849, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "this question is asking what is the optimal path for the least time which is represented by the dotted \"swim\" path", "session_id": 9849, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "and 60-x is the optimal run time", "session_id": 9849, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "so what do you think x is in this problem?", "session_id": 9849, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "the amount of meters from Q that the person starts swimming?", "session_id": 9849, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "QP represents the horizontal distance to get the the stranded swimmer (i think previously i mistook point P as the stranded swimmer, sorry)", "session_id": 9849, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "but what does x represent?", "session_id": 9849, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "isnt QP the distance from the lifeguard. to the other side of the coast?", "session_id": 9849, "sequence_id": 43, "annotations": []}
{"role": "student", "content": "so would X not represent the amount of meters away from point q where you start swimming>", "session_id": 9849, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "that is correct", "session_id": 9849, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "okay", "session_id": 9849, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "now lets actually find a, b, and c", "session_id": 9849, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "so realistically, we are only using the pythagorean theorem to solve for the optimal swimming distance", "session_id": 9849, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "but how do we find the function T in part a?", "session_id": 9849, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "we add swimming + running", "session_id": 9849, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "because we first have to run then swim to get to the stranded swimmer", "session_id": 9849, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "ok", "session_id": 9849, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "okay", "session_id": 9849, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "im going to solve for c", "session_id": 9849, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "wait no", "session_id": 9849, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "try to solve for a first", "session_id": 9849, "sequence_id": 56, "annotations": []}
{"role": "student", "content": "I do have to go now but thank you for the help. Daniel helped me clarify some of the stuff", "session_id": 9849, "sequence_id": 57, "annotations": [{"pii_type": "PERSON", "surrogate": "Daniel", "start": 48, "end": 54}]}
{"role": "volunteer", "content": "okay great!!", "session_id": 9849, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "Hi", "session_id": 9909, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "How are you doing today and what do you need help with ?", "session_id": 9909, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "im doing good", "session_id": 9909, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "i need help with some PSAT practice questions", "session_id": 9909, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "there I think 9 of them  need help with", "session_id": 9909, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "Ok", "session_id": 9909, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "I am also taking it this year so", "session_id": 9909, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "Are you taking the 8/9 or the 10", "session_id": 9909, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "Please let me know what questions you need help with", "session_id": 9909, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "9th grade", "session_id": 9909, "sequence_id": 9, "annotations": [{"pii_type": "GRADE_LEVEL", "surrogate": "9th grade", "start": 0, "end": 9}]}
{"role": "volunteer", "content": "ok", "session_id": 9909, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "let me paste the questions", "session_id": 9909, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 9909, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "Do you know how to use desmos", "session_id": 9909, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 9909, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 9909, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "the graphing one or the scientific one", "session_id": 9909, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "grpahiung", "session_id": 9909, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "graphing", "session_id": 9909, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "yeah I know how to use it", "session_id": 9909, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "Ok this problem is extremlyu easy", "session_id": 9909, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "plug in both equations into desmoos", "session_id": 9909, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "and the point they intersect", "session_id": 9909, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "is the x and y values", "session_id": 9909, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "can u see my screen", "session_id": 9909, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "yes", "session_id": 9909, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "im going to plug them in any questions please let me know", "session_id": 9909, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "X value would be 18", "session_id": 9909, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "you can see", "session_id": 9909, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "was that helpful", "session_id": 9909, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "yes it was", "session_id": 9909, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "did u know how to do that ebfore", "session_id": 9909, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "no", "session_id": 9909, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 9909, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "whenver given a system", "session_id": 9909, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "just plug it in", "session_id": 9909, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "okay and then see where they intersect", "session_id": 9909, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "One second ill be back in2 Minutes", "session_id": 9909, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "okay", "session_id": 9909, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "Exactly", "session_id": 9909, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "will we be able to use desmos on the psat", "session_id": 9909, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 9909, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "have you taken a practice ytest yet", "session_id": 9909, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "do you mind showing me again", "session_id": 9909, "sequence_id": 43, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 9909, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "like how to solve it", "session_id": 9909, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "because I'm getting something different", "session_id": 9909, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "for what", "session_id": 9909, "sequence_id": 47, "annotations": []}
{"role": "student", "content": "the question we just did", "session_id": 9909, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "do we plug in exactly x+3y=29 and 3y=11", "session_id": 9909, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "never solve these types as they take tto much time", "session_id": 9909, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 9909, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "yeah I did that", "session_id": 9909, "sequence_id": 52, "annotations": []}
{"role": "student", "content": "but I don't get what u got", "session_id": 9909, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "give one sec", "session_id": 9909, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "if we were tos ovel by hand", "session_id": 9909, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "The method i used is elemination", "session_id": 9909, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "but is way faster and mroe efficent to plug into demos", "session_id": 9909, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "is thre any other question you need help with", "session_id": 9909, "sequence_id": 58, "annotations": []}
{"role": "student", "content": "No I think I'm good", "session_id": 9909, "sequence_id": 59, "annotations": []}
{"role": "student", "content": "But thank you for the help", "session_id": 9909, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "No problem", "session_id": 9909, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "always try to use desmos", "session_id": 9909, "sequence_id": 62, "annotations": []}
{"role": "student", "content": "Okay", "session_id": 9909, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "Try searching on yotube how to use desmos", "session_id": 9909, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "there are lot of videos", "session_id": 9909, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "that have lots of info and are very helpful", "session_id": 9909, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "How can I help you", "session_id": 9901, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "OK, um, I need help with like relationships with angles.", "session_id": 9901, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "OK, um, do you have any particular", "session_id": 9901, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "postulates or theorems in mind?", "session_id": 9901, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "I do, let me just share it with you.", "session_id": 9901, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 9901, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "I have a question. How do I share because I can't see the button for it.", "session_id": 9901, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "Oh, is it online", "session_id": 9901, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "like is it a shared screen that you're trying to do?", "session_id": 9901, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 9901, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "OK, uh, I think the type of like session that you chose does not enable that. What I would do at this point is take a screenshot of the problem, save it, and then upload it through the 4th button from the left. Sorry, I'm in a public area.", "session_id": 9901, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "Oh, it's fine.", "session_id": 9901, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "Are you taking the screenshot", "session_id": 9901, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "I'm just wondering, sorry.", "session_id": 9901, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "I'm sitting there right now.", "session_id": 9901, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 9901, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "Sorry, have you uploaded it yet, cause nothing has appeared on the screen for me. I just need to know if it's a tech issue or not.", "session_id": 9901, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "Is there any other way to upload it?", "session_id": 9901, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "Uh no", "session_id": 9901, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "Um, can you describe the problem to me?", "session_id": 9901, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "Hello", "session_id": 9901, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "Are you there", "session_id": 9901, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "Um, could we like, is this", "session_id": 9901, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "could I end this session real quick so I can take a picture of it.", "session_id": 9901, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "Yeah, sure", "session_id": 9901, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "OK", "session_id": 9901, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "I'll just wait for you to log back on.", "session_id": 9901, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "Hello", "session_id": 9937, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "hi", "session_id": 9937, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "How can I assist today", "session_id": 9937, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "this", "session_id": 9937, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "I see it, reviewing", "session_id": 9937, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "ok", "session_id": 9937, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "what answers are hovoem", "session_id": 9937, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "given", "session_id": 9937, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "idk", "session_id": 9937, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "i cant read it", "session_id": 9937, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "okay see board", "session_id": 9937, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "no", "session_id": 9937, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "Distance between Lincoln, Lancaster County and Denver, CO = 500 miles", "session_id": 9937, "sequence_id": 12, "annotations": [{"pii_type": "LOCATION", "surrogate": "Lancaster County", "start": 26, "end": 42}, {"pii_type": "LOCATION", "surrogate": "Denver", "start": 47, "end": 53}]}
{"role": "student", "content": "ok", "session_id": 9937, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "Distance between Colorado Springs, CO and third city = 200 miles", "session_id": 9937, "sequence_id": 14, "annotations": [{"pii_type": "LOCATION", "surrogate": "Colorado Springs", "start": 17, "end": 33}]}
{"role": "volunteer", "content": "We need to find the possible range of distances d (in miles) between Lincoln, Lancaster County and the third city, assuming the three cities form a triangle.", "session_id": 9937, "sequence_id": 15, "annotations": [{"pii_type": "LOCATION", "surrogate": "Lancaster County", "start": 78, "end": 94}]}
{"role": "volunteer", "content": "Apply the Triangle Inequality Theorem", "session_id": 9937, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "For any triangle with sides \ud835\udc4e,\ud835\udc4f, and \n\ud835\udc50", "session_id": 9937, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "\u2223a\u2212b\u2223<c<a+b", "session_id": 9937, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "Step 2: Substitute known values\nLet:\na=500 miles\nb=200 miles\nc=d, the distance we\u2019re finding.", "session_id": 9937, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "\u2223500\u2212200\u2223<d<500+200", "session_id": 9937, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "hi", "session_id": 10033, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "heyyy", "session_id": 10033, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "how can i help", "session_id": 10033, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "I need help with reviewing for a test", "session_id": 10033, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "sure, do you have exampl eproblems?", "session_id": 10033, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "yes", "session_id": 10033, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "ok, post or upload a pic of them", "session_id": 10033, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "can I draw out a question?", "session_id": 10033, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "sure", "session_id": 10033, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "there", "session_id": 10033, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "any idea where to start?", "session_id": 10033, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "plug in?", "session_id": 10033, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "i see 2 approaches", "session_id": 10033, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "you can take the derivative or graph/analyze the equation", "session_id": 10033, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "the equation 2x-3 is linear.  so it has the same slope everywhere", "session_id": 10033, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "given x=1 means nothing because of this", "session_id": 10033, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "which method do you prefer?", "session_id": 10033, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "graph or derivative?", "session_id": 10033, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "derivative", "session_id": 10033, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "whats the derivative of 2x?", "session_id": 10033, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "2x?", "session_id": 10033, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "not quite", "session_id": 10033, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "use the exponent rule", "session_id": 10033, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "(x^n)' = n*x^(n-1)", "session_id": 10033, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "are you there", "session_id": 10033, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "Hello", "session_id": 9956, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "Can you hear me at all", "session_id": 9956, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "And", "session_id": 9956, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "Oh, OK", "session_id": 9956, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "All right", "session_id": 9956, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "Hello", "session_id": 9956, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "Yeah, I don't know what's", "session_id": 9956, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "uh.", "session_id": 9956, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "Hi, yes, hi, how are you? My son needs help", "session_id": 9956, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "I got you", "session_id": 9956, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "So I come over here, please. Just he's just really shy", "session_id": 9956, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "Oh.", "session_id": 9956, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "Come on", "session_id": 9956, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "Oh, that's fine", "session_id": 9956, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "I would just text", "session_id": 9956, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "Thank you. I mean, let's turn up the volume.", "session_id": 9956, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "It's like", "session_id": 9956, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "broken, I guess. It's not letting me cancel the shot.", "session_id": 9956, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "Yeah, no problem. We can, we can, we can do this. Liam come buddy.", "session_id": 9956, "sequence_id": 18, "annotations": [{"pii_type": "PERSON", "surrogate": "Liam", "start": 50, "end": 54}]}
{"role": "student", "content": "OK", "session_id": 9956, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "All right", "session_id": 9956, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "Yeah, of course", "session_id": 9956, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "All right, thank you. Let's go have. Thank you for your patience. Appreciate your patience. Come on.", "session_id": 9956, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "Yeah, no problem", "session_id": 9956, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "OK.", "session_id": 9956, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "I don't know what's happening. It's like, OK, I keep on glitching.", "session_id": 9956, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "but um", "session_id": 9956, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "all right, so you wanna do this problem.", "session_id": 9956, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "and it's telling us we want to isolate", "session_id": 9956, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "H.", "session_id": 9956, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "AKA sulfur H. So we want to have H alone", "session_id": 9956, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "on one side of the", "session_id": 9956, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "equation, right", "session_id": 9956, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "Now let me ask first, can you hear me?", "session_id": 9956, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "You can just like", "session_id": 9956, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "draw a little something on the board if you.", "session_id": 9956, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "Hi Mia, sorry, uh, we were just, can you start again, please, my bad.", "session_id": 9956, "sequence_id": 36, "annotations": [{"pii_type": "PERSON", "surrogate": "Mia", "start": 3, "end": 6}]}
{"role": "volunteer", "content": "Oh yeah, of course, of course", "session_id": 9956, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "OK. Can you hear me?", "session_id": 9956, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "Yes, thank you very much", "session_id": 9956, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "OK, so for this problem right here, it's telling us to solve for H.", "session_id": 9956, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "which basically means that we want to have H on one side of the equation, like you wrote here, just like by itself.", "session_id": 9956, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "So, let's um, I guess just to like visualize it easier, looks like break apart the region.", "session_id": 9956, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "OK, it keeps on like", "session_id": 9956, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "refreshing my", "session_id": 9956, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "Yeah, I, it's going on and off.", "session_id": 9956, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "OK, that's weird. I, I don't know.", "session_id": 9956, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "but", "session_id": 9956, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "let's just break it apart", "session_id": 9956, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 9956, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "So you know how we have one half times age times.", "session_id": 9956, "sequence_id": 50, "annotations": []}
{"role": "student", "content": "Yes.", "session_id": 9956, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "here. Let's just break it apart with um using like multiplication signs.", "session_id": 9956, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "The entire equation is just this.", "session_id": 9956, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "And then all this equals um A.", "session_id": 9956, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "So if we want to isolate H", "session_id": 9956, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "we're gonna have to take this, um,", "session_id": 9956, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "this one half and somehow put it on the other side.", "session_id": 9956, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "but also take this parentheses B + C and put that on the other side.", "session_id": 9956, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "while just keeping H by itself.", "session_id": 9956, "sequence_id": 59, "annotations": []}
{"role": "student", "content": "OK", "session_id": 9956, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "All right, so do you know the inverse of multiplication?", "session_id": 9956, "sequence_id": 61, "annotations": []}
{"role": "student", "content": "Say it to me", "session_id": 9956, "sequence_id": 62, "annotations": []}
{"role": "student", "content": "I", "session_id": 9956, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "Huh?", "session_id": 9956, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "Mhm.", "session_id": 9956, "sequence_id": 65, "annotations": []}
{"role": "student", "content": "Uh it's division, right?", "session_id": 9956, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "Yep", "session_id": 9956, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "OK.", "session_id": 9956, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "OK, right, thank you some glitching again. Yep, so just the vision.", "session_id": 9956, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "Um.", "session_id": 9956, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "so if we have H being multiplied, so two of these things.", "session_id": 9956, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "and we wanna like cancel out the multiplication.", "session_id": 9956, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "Let's say for example we have", "session_id": 9956, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "2 times", "session_id": 9956, "sequence_id": 74, "annotations": []}
{"role": "volunteer", "content": "yeah, 2 times 3 equals, I don't know.", "session_id": 9956, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "4.", "session_id": 9956, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "We want to cancel out this x 3 to 2.", "session_id": 9956, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "instead of um we would just divide both sides by 3, right?", "session_id": 9956, "sequence_id": 78, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 9956, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "You divide both sides by 3, we get", "session_id": 9956, "sequence_id": 80, "annotations": []}
{"role": "volunteer", "content": "well, that isn't a good example, but", "session_id": 9956, "sequence_id": 81, "annotations": []}
{"role": "volunteer", "content": "we, we'll just have two alone. I should use the variable for that. But um", "session_id": 9956, "sequence_id": 82, "annotations": []}
{"role": "volunteer", "content": "we have H being multiplied by one half. We'll just go step by step, step. If we want to cancel out the uh H times 1/2? What would we divide it by then?", "session_id": 9956, "sequence_id": 83, "annotations": []}
{"role": "student", "content": "Uh", "session_id": 9956, "sequence_id": 84, "annotations": []}
{"role": "student", "content": "chill? Is it chill", "session_id": 9956, "sequence_id": 85, "annotations": []}
{"role": "student", "content": "Oh jeez, OK.", "session_id": 9956, "sequence_id": 86, "annotations": []}
{"role": "volunteer", "content": "Wait, OK, honestly, let me just use a better uh example. So we have X", "session_id": 9956, "sequence_id": 87, "annotations": []}
{"role": "volunteer", "content": "times", "session_id": 9956, "sequence_id": 88, "annotations": []}
{"role": "volunteer", "content": "3 equals", "session_id": 9956, "sequence_id": 89, "annotations": []}
{"role": "volunteer", "content": "4.", "session_id": 9956, "sequence_id": 90, "annotations": []}
{"role": "volunteer", "content": "And we want to isolate 3", "session_id": 9956, "sequence_id": 91, "annotations": []}
{"role": "volunteer", "content": "We should divide both sides by 3, right? Because if we divide sides by 3.", "session_id": 9956, "sequence_id": 92, "annotations": []}
{"role": "volunteer", "content": "then basically this entire fraction 3/3 is just gonna equal 1.", "session_id": 9956, "sequence_id": 93, "annotations": []}
{"role": "student", "content": "OK", "session_id": 9956, "sequence_id": 94, "annotations": []}
{"role": "volunteer", "content": "But we're dealing with a fraction, so I guess", "session_id": 9956, "sequence_id": 95, "annotations": []}
{"role": "volunteer", "content": "OK, it might sound a little weird, but um", "session_id": 9956, "sequence_id": 96, "annotations": []}
{"role": "volunteer", "content": "really, if we just wanna cancel out the uh medication to one half.", "session_id": 9956, "sequence_id": 97, "annotations": []}
{"role": "volunteer", "content": "We're just gonna divide it by 1/2 as well.", "session_id": 9956, "sequence_id": 98, "annotations": []}
{"role": "volunteer", "content": "Because one half", "session_id": 9956, "sequence_id": 99, "annotations": []}
{"role": "volunteer", "content": "divided by 1/2", "session_id": 9956, "sequence_id": 100, "annotations": []}
{"role": "volunteer", "content": "if we use to have roll like keep change flip.", "session_id": 9956, "sequence_id": 101, "annotations": []}
{"role": "volunteer", "content": "It'll just be like 1/2 times 2/1.", "session_id": 9956, "sequence_id": 102, "annotations": []}
{"role": "volunteer", "content": "1, right", "session_id": 9956, "sequence_id": 103, "annotations": []}
{"role": "student", "content": "Yes.", "session_id": 9956, "sequence_id": 104, "annotations": []}
{"role": "volunteer", "content": "OK, so we'll do that", "session_id": 9956, "sequence_id": 105, "annotations": []}
{"role": "volunteer", "content": "We're gonna divide both sides by one half, right?", "session_id": 9956, "sequence_id": 106, "annotations": []}
{"role": "student", "content": "Yes.", "session_id": 9956, "sequence_id": 107, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 9956, "sequence_id": 108, "annotations": []}
{"role": "volunteer", "content": "So", "session_id": 9956, "sequence_id": 109, "annotations": []}
{"role": "volunteer", "content": "it's", "session_id": 9956, "sequence_id": 110, "annotations": []}
{"role": "volunteer", "content": "divide both sides by one half. O and", "session_id": 9956, "sequence_id": 111, "annotations": []}
{"role": "student", "content": "Mhm", "session_id": 9956, "sequence_id": 112, "annotations": []}
{"role": "volunteer", "content": "what's gone for me. What happened?", "session_id": 9956, "sequence_id": 113, "annotations": []}
{"role": "volunteer", "content": "Uh, I can't see anything on the board. Road's glitching.", "session_id": 9956, "sequence_id": 114, "annotations": []}
{"role": "student", "content": "I know it, it, it, it's glitching really bad.", "session_id": 9956, "sequence_id": 115, "annotations": []}
{"role": "student", "content": "OK", "session_id": 9956, "sequence_id": 116, "annotations": []}
{"role": "volunteer", "content": "He, um, OK, we might just have to rewrite it. I kind of remember that, uh, the equation.", "session_id": 9956, "sequence_id": 117, "annotations": []}
{"role": "volunteer", "content": "So", "session_id": 9956, "sequence_id": 118, "annotations": []}
{"role": "student", "content": "H", "session_id": 9956, "sequence_id": 119, "annotations": []}
{"role": "student", "content": "parenthesis B + C.", "session_id": 9956, "sequence_id": 120, "annotations": []}
{"role": "volunteer", "content": "needs to.", "session_id": 9956, "sequence_id": 121, "annotations": []}
{"role": "volunteer", "content": "Well, I guess an easier way to think about it is just", "session_id": 9956, "sequence_id": 122, "annotations": []}
{"role": "volunteer", "content": "no, no, just divide it by one half, but", "session_id": 9956, "sequence_id": 123, "annotations": []}
{"role": "volunteer", "content": "also because it's a fraction", "session_id": 9956, "sequence_id": 124, "annotations": []}
{"role": "volunteer", "content": "what should we multiply one half by for it to equal 1.", "session_id": 9956, "sequence_id": 125, "annotations": []}
{"role": "student", "content": "Uh", "session_id": 9956, "sequence_id": 126, "annotations": []}
{"role": "volunteer", "content": "Yeah, yeah, 2", "session_id": 9956, "sequence_id": 127, "annotations": []}
{"role": "student", "content": "2502.", "session_id": 9956, "sequence_id": 128, "annotations": []}
{"role": "volunteer", "content": "Yep.", "session_id": 9956, "sequence_id": 129, "annotations": []}
{"role": "volunteer", "content": "So, actually if you want, cause we're dealing with a fraction, we can uh we can just multiply both sides by 2.", "session_id": 9956, "sequence_id": 130, "annotations": []}
{"role": "volunteer", "content": "So, if we multiply both sides by 2", "session_id": 9956, "sequence_id": 131, "annotations": []}
{"role": "volunteer", "content": "do you wanna uh write out the equation", "session_id": 9956, "sequence_id": 132, "annotations": []}
{"role": "student", "content": "Uh, yes.", "session_id": 9956, "sequence_id": 133, "annotations": []}
{"role": "student", "content": "You can write it down with a pencil here.", "session_id": 9956, "sequence_id": 134, "annotations": []}
{"role": "volunteer", "content": "Yeah, you can write it on your paper. I'll just use the whiteboard.", "session_id": 9956, "sequence_id": 135, "annotations": []}
{"role": "student", "content": "just a song, there you go, here.", "session_id": 9956, "sequence_id": 136, "annotations": []}
{"role": "student", "content": "You can just type it in as well. Here you want, or you want to type here just so you can do it here. OK.", "session_id": 9956, "sequence_id": 137, "annotations": []}
{"role": "student", "content": "So that you can just write it", "session_id": 9956, "sequence_id": 138, "annotations": []}
{"role": "student", "content": "Write it with me or with a pencil.", "session_id": 9956, "sequence_id": 139, "annotations": []}
{"role": "volunteer", "content": "Oh, no worries", "session_id": 9956, "sequence_id": 140, "annotations": []}
{"role": "student", "content": "Write it here.", "session_id": 9956, "sequence_id": 141, "annotations": []}
{"role": "volunteer", "content": "Yeah, I don't know why the platform is being really glitchy right now.", "session_id": 9956, "sequence_id": 142, "annotations": []}
{"role": "student", "content": "Yeah.", "session_id": 9956, "sequence_id": 143, "annotations": []}
{"role": "student", "content": "So what would you get on the other side if you multiply it times 2?", "session_id": 9956, "sequence_id": 144, "annotations": []}
{"role": "student", "content": "8 times 28 times 2.", "session_id": 9956, "sequence_id": 145, "annotations": []}
{"role": "student", "content": "So", "session_id": 9956, "sequence_id": 146, "annotations": []}
{"role": "student", "content": "What kind of 2 is that?", "session_id": 9956, "sequence_id": 147, "annotations": []}
{"role": "volunteer", "content": "Yeah, I don't know. I, it's a little hard to draw on the board.", "session_id": 9956, "sequence_id": 148, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 9956, "sequence_id": 149, "annotations": []}
{"role": "student", "content": "So.", "session_id": 9956, "sequence_id": 150, "annotations": []}
{"role": "volunteer", "content": "But I see, I see what you're writing. So just 2 A.", "session_id": 9956, "sequence_id": 151, "annotations": []}
{"role": "student", "content": "Uh-huh.", "session_id": 9956, "sequence_id": 152, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 9956, "sequence_id": 153, "annotations": []}
{"role": "student", "content": "Mm", "session_id": 9956, "sequence_id": 154, "annotations": []}
{"role": "student", "content": "And then you multiply the uh the other two X's on the other side, that would apply the parentheses.", "session_id": 9956, "sequence_id": 155, "annotations": []}
{"role": "volunteer", "content": "I'll also", "session_id": 9956, "sequence_id": 156, "annotations": []}
{"role": "student", "content": "OK", "session_id": 9956, "sequence_id": 157, "annotations": []}
{"role": "volunteer", "content": "just for like a rule of thumb", "session_id": 9956, "sequence_id": 158, "annotations": []}
{"role": "student", "content": "Mhm. Listen", "session_id": 9956, "sequence_id": 159, "annotations": []}
{"role": "student", "content": "Stop", "session_id": 9956, "sequence_id": 160, "annotations": []}
{"role": "volunteer", "content": "Let's say you have like Y equals A times B C.", "session_id": 9956, "sequence_id": 161, "annotations": []}
{"role": "volunteer", "content": "When you multiply like both sides by 2.", "session_id": 9956, "sequence_id": 162, "annotations": []}
{"role": "volunteer", "content": "you'll get 2y equals", "session_id": 9956, "sequence_id": 163, "annotations": []}
{"role": "volunteer", "content": "just 2 times A times.", "session_id": 9956, "sequence_id": 164, "annotations": []}
{"role": "volunteer", "content": "E times C. cause I've seen like other people try to like distribute the two to like each variable when really", "session_id": 9956, "sequence_id": 165, "annotations": []}
{"role": "student", "content": "Um", "session_id": 9956, "sequence_id": 166, "annotations": []}
{"role": "volunteer", "content": "you know just", "session_id": 9956, "sequence_id": 167, "annotations": []}
{"role": "volunteer", "content": "just be like one more multi uh", "session_id": 9956, "sequence_id": 168, "annotations": []}
{"role": "volunteer", "content": "multiplication, so like, add on to everything that's being multiplied.", "session_id": 9956, "sequence_id": 169, "annotations": []}
{"role": "volunteer", "content": "So it's not gonna be like equals to ax 2B", "session_id": 9956, "sequence_id": 170, "annotations": []}
{"role": "volunteer", "content": "2C.", "session_id": 9956, "sequence_id": 171, "annotations": []}
{"role": "student", "content": "Mhm", "session_id": 9956, "sequence_id": 172, "annotations": []}
{"role": "volunteer", "content": "Alright.", "session_id": 9956, "sequence_id": 173, "annotations": []}
{"role": "volunteer", "content": "Just making sure. All right", "session_id": 9956, "sequence_id": 174, "annotations": []}
{"role": "volunteer", "content": "So what should we have on this side of the equation now that we multiplied", "session_id": 9956, "sequence_id": 175, "annotations": []}
{"role": "volunteer", "content": "everything by x 2", "session_id": 9956, "sequence_id": 176, "annotations": []}
{"role": "student", "content": "So it's the one half H will, will that", "session_id": 9956, "sequence_id": 177, "annotations": []}
{"role": "student", "content": "will that can the one half will cancel out?", "session_id": 9956, "sequence_id": 178, "annotations": []}
{"role": "volunteer", "content": "Yeah, it'll cancel out the one half.", "session_id": 9956, "sequence_id": 179, "annotations": []}
{"role": "volunteer", "content": "You.", "session_id": 9956, "sequence_id": 180, "annotations": []}
{"role": "student", "content": "Yeah, right? OK, cause you multiply it on the other end. OK.", "session_id": 9956, "sequence_id": 181, "annotations": []}
{"role": "volunteer", "content": "half", "session_id": 9956, "sequence_id": 182, "annotations": []}
{"role": "volunteer", "content": "Let's just rewrite it together. So we multiply both sides by 2.", "session_id": 9956, "sequence_id": 183, "annotations": []}
{"role": "volunteer", "content": "So just you know 2 times 1/2.", "session_id": 9956, "sequence_id": 184, "annotations": []}
{"role": "volunteer", "content": "times each", "session_id": 9956, "sequence_id": 185, "annotations": []}
{"role": "volunteer", "content": "times whatever's.", "session_id": 9956, "sequence_id": 186, "annotations": []}
{"role": "student", "content": "OK", "session_id": 9956, "sequence_id": 187, "annotations": []}
{"role": "volunteer", "content": "and um", "session_id": 9956, "sequence_id": 188, "annotations": []}
{"role": "volunteer", "content": "we can see at this part at like at the front, 2 times 1/2.", "session_id": 9956, "sequence_id": 189, "annotations": []}
{"role": "volunteer", "content": "You already know that equals 1, right", "session_id": 9956, "sequence_id": 190, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 9956, "sequence_id": 191, "annotations": []}
{"role": "volunteer", "content": "So we can rewrite it again to just be 1 times H times", "session_id": 9956, "sequence_id": 192, "annotations": []}
{"role": "volunteer", "content": "uh", "session_id": 9956, "sequence_id": 193, "annotations": []}
{"role": "volunteer", "content": "B plus C.", "session_id": 9956, "sequence_id": 194, "annotations": []}
{"role": "volunteer", "content": "And then that's all gonna equal to a.", "session_id": 9956, "sequence_id": 195, "annotations": []}
{"role": "volunteer", "content": "But the times 1 is insignificant because", "session_id": 9956, "sequence_id": 196, "annotations": []}
{"role": "volunteer", "content": "I mean, it doesn't really change anything, so we can just like cross it out. So it just equal", "session_id": 9956, "sequence_id": 197, "annotations": []}
{"role": "volunteer", "content": "H times", "session_id": 9956, "sequence_id": 198, "annotations": []}
{"role": "volunteer", "content": "B + C.", "session_id": 9956, "sequence_id": 199, "annotations": []}
{"role": "volunteer", "content": "Uh, does everything make sense? If not, then I can be.", "session_id": 9956, "sequence_id": 200, "annotations": []}
{"role": "student", "content": "Yeah, that's fine", "session_id": 9956, "sequence_id": 201, "annotations": []}
{"role": "volunteer", "content": "All right.", "session_id": 9956, "sequence_id": 202, "annotations": []}
{"role": "student", "content": "You gotta understand", "session_id": 9956, "sequence_id": 203, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 9956, "sequence_id": 204, "annotations": []}
{"role": "student", "content": "I", "session_id": 9956, "sequence_id": 205, "annotations": []}
{"role": "volunteer", "content": "I, you know, keeps on glitching.", "session_id": 9956, "sequence_id": 206, "annotations": []}
{"role": "volunteer", "content": "Oh yeah, just, we just want to cancel everything that's being multiplied to H.", "session_id": 9956, "sequence_id": 207, "annotations": []}
{"role": "student", "content": "I", "session_id": 9956, "sequence_id": 208, "annotations": []}
{"role": "volunteer", "content": "So", "session_id": 9956, "sequence_id": 209, "annotations": []}
{"role": "volunteer", "content": "So we have H times B + C.", "session_id": 9956, "sequence_id": 210, "annotations": []}
{"role": "volunteer", "content": "And we want to get, we want to make H alone, right?", "session_id": 9956, "sequence_id": 211, "annotations": []}
{"role": "volunteer", "content": "So like um", "session_id": 9956, "sequence_id": 212, "annotations": []}
{"role": "student", "content": "Don't copy it. Wait.", "session_id": 9956, "sequence_id": 213, "annotations": []}
{"role": "volunteer", "content": "uh, like what we did, uh, with the One Health.", "session_id": 9956, "sequence_id": 214, "annotations": []}
{"role": "volunteer", "content": "and a way to take this away and put it to the other side of the equation.", "session_id": 9956, "sequence_id": 215, "annotations": []}
{"role": "student", "content": "OK", "session_id": 9956, "sequence_id": 216, "annotations": []}
{"role": "volunteer", "content": "So we're using multiplication, right?", "session_id": 9956, "sequence_id": 217, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 9956, "sequence_id": 218, "annotations": []}
{"role": "volunteer", "content": "We're gonna wanna do the inverse of multiplication or like the opposite of multiplication.", "session_id": 9956, "sequence_id": 219, "annotations": []}
{"role": "volunteer", "content": "using B + C.", "session_id": 9956, "sequence_id": 220, "annotations": []}
{"role": "volunteer", "content": "so we can get it away", "session_id": 9956, "sequence_id": 221, "annotations": []}
{"role": "student", "content": "All right", "session_id": 9956, "sequence_id": 222, "annotations": []}
{"role": "volunteer", "content": "So what uh what operation should we use to get uh to get rid of this.", "session_id": 9956, "sequence_id": 223, "annotations": []}
{"role": "student", "content": "The vision", "session_id": 9956, "sequence_id": 224, "annotations": []}
{"role": "volunteer", "content": "Yeah, we should use the vision", "session_id": 9956, "sequence_id": 225, "annotations": []}
{"role": "volunteer", "content": "And what should we divide both sides by?", "session_id": 9956, "sequence_id": 226, "annotations": []}
{"role": "student", "content": "uh, the bee and the other B.", "session_id": 9956, "sequence_id": 227, "annotations": []}
{"role": "volunteer", "content": "OK, so we're gonna divide both sides by B", "session_id": 9956, "sequence_id": 228, "annotations": []}
{"role": "volunteer", "content": "C.", "session_id": 9956, "sequence_id": 229, "annotations": []}
{"role": "volunteer", "content": "in parentheses", "session_id": 9956, "sequence_id": 230, "annotations": []}
{"role": "volunteer", "content": "We're gonna do that to the to the other side too, so it's equal.", "session_id": 9956, "sequence_id": 231, "annotations": []}
{"role": "student", "content": "Um", "session_id": 9956, "sequence_id": 232, "annotations": []}
{"role": "volunteer", "content": "So when we rewrite this, we're just gonna get", "session_id": 9956, "sequence_id": 233, "annotations": []}
{"role": "volunteer", "content": "2 A", "session_id": 9956, "sequence_id": 234, "annotations": []}
{"role": "volunteer", "content": "divided by", "session_id": 9956, "sequence_id": 235, "annotations": []}
{"role": "volunteer", "content": "B plus C.", "session_id": 9956, "sequence_id": 236, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 9956, "sequence_id": 237, "annotations": []}
{"role": "volunteer", "content": "And we're just gonna get that fraction, like we had before", "session_id": 9956, "sequence_id": 238, "annotations": []}
{"role": "volunteer", "content": "since the new and the denominator are the same. It's just gonna equal one.", "session_id": 9956, "sequence_id": 239, "annotations": []}
{"role": "volunteer", "content": "So it's just gonna be H times 1, which is just gonna equal each.", "session_id": 9956, "sequence_id": 240, "annotations": []}
{"role": "volunteer", "content": "So we have our", "session_id": 9956, "sequence_id": 241, "annotations": []}
{"role": "volunteer", "content": "equation of when we solve for each.", "session_id": 9956, "sequence_id": 242, "annotations": []}
{"role": "student", "content": "OK", "session_id": 9956, "sequence_id": 243, "annotations": []}
{"role": "student", "content": "So H equals 2A over B + C.", "session_id": 9956, "sequence_id": 244, "annotations": []}
{"role": "student", "content": "OK, OK", "session_id": 9956, "sequence_id": 245, "annotations": []}
{"role": "student", "content": "Thank you so much. He does have another one. Do you mind helping him with it, please?", "session_id": 9956, "sequence_id": 246, "annotations": []}
{"role": "volunteer", "content": "Yeah, of course", "session_id": 9956, "sequence_id": 247, "annotations": []}
{"role": "student", "content": "OK", "session_id": 9956, "sequence_id": 248, "annotations": []}
{"role": "volunteer", "content": "I think it's better, I think it's easier to do more practice for this, so like.", "session_id": 9956, "sequence_id": 249, "annotations": []}
{"role": "volunteer", "content": "yeah of course", "session_id": 9956, "sequence_id": 250, "annotations": []}
{"role": "student", "content": "Yeah, appreciate it. How do you, oh, how do you, OK. So I guess we can take a picture. How do you take a picture? Take a picture. You don't know how to use technology. OK then, take a picture. Do you know how to?", "session_id": 9956, "sequence_id": 251, "annotations": []}
{"role": "student", "content": "You don't need to take a picture of.", "session_id": 9956, "sequence_id": 252, "annotations": []}
{"role": "student", "content": "just on", "session_id": 9956, "sequence_id": 253, "annotations": []}
{"role": "volunteer", "content": "If not, if you uh read it out to me, I can just, I can just uh draw it", "session_id": 9956, "sequence_id": 254, "annotations": []}
{"role": "student", "content": "OK, so we did", "session_id": 9956, "sequence_id": 255, "annotations": []}
{"role": "volunteer", "content": "oh", "session_id": 9956, "sequence_id": 256, "annotations": []}
{"role": "student", "content": "it's um this one A eagle. It's OK.", "session_id": 9956, "sequence_id": 257, "annotations": []}
{"role": "student", "content": "equals to BXT + C.", "session_id": 9956, "sequence_id": 258, "annotations": []}
{"role": "student", "content": "And we're looking for tea.", "session_id": 9956, "sequence_id": 259, "annotations": []}
{"role": "volunteer", "content": "BXC + C", "session_id": 9956, "sequence_id": 260, "annotations": []}
{"role": "student", "content": "A equals BXT + C salt for tea.", "session_id": 9956, "sequence_id": 261, "annotations": []}
{"role": "student", "content": "OK", "session_id": 9956, "sequence_id": 262, "annotations": []}
{"role": "volunteer", "content": "Oh, OK, plus C.", "session_id": 9956, "sequence_id": 263, "annotations": []}
{"role": "volunteer", "content": "OK, I, I wrote it all the way at the top. I don't know if you can see it. Wait, let me read all the ink because it looks a little wonky.", "session_id": 9956, "sequence_id": 264, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 9956, "sequence_id": 265, "annotations": []}
{"role": "volunteer", "content": "Does it look like this, or I guess maybe lowercase a.", "session_id": 9956, "sequence_id": 266, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 9956, "sequence_id": 267, "annotations": []}
{"role": "student", "content": "I'm gonna get a", "session_id": 9956, "sequence_id": 268, "annotations": []}
{"role": "volunteer", "content": "All right, OK, nice", "session_id": 9956, "sequence_id": 269, "annotations": []}
{"role": "student", "content": "I'm gonna get a result", "session_id": 9956, "sequence_id": 270, "annotations": []}
{"role": "volunteer", "content": "OK.", "session_id": 9956, "sequence_id": 271, "annotations": []}
{"role": "student", "content": "Hi do we get any er? I, can I have a razor?", "session_id": 9956, "sequence_id": 272, "annotations": []}
{"role": "volunteer", "content": "I call for tea.", "session_id": 9956, "sequence_id": 273, "annotations": []}
{"role": "volunteer", "content": "so", "session_id": 9956, "sequence_id": 274, "annotations": []}
{"role": "student", "content": "just", "session_id": 9956, "sequence_id": 275, "annotations": []}
{"role": "volunteer", "content": "or", "session_id": 9956, "sequence_id": 276, "annotations": []}
{"role": "student", "content": "it", "session_id": 9956, "sequence_id": 277, "annotations": []}
{"role": "volunteer", "content": "tea", "session_id": 9956, "sequence_id": 278, "annotations": []}
{"role": "volunteer", "content": "All right", "session_id": 9956, "sequence_id": 279, "annotations": []}
{"role": "volunteer", "content": "So, um,", "session_id": 9956, "sequence_id": 280, "annotations": []}
{"role": "volunteer", "content": "we basically, OK, yeah, we want to isolate tea, and by isolating tea, we're going to get all of these other variables onto the other side where A is, right?", "session_id": 9956, "sequence_id": 281, "annotations": []}
{"role": "student", "content": "No", "session_id": 9956, "sequence_id": 282, "annotations": []}
{"role": "volunteer", "content": "So we can just leave tea on um", "session_id": 9956, "sequence_id": 283, "annotations": []}
{"role": "volunteer", "content": "you know, on its own", "session_id": 9956, "sequence_id": 284, "annotations": []}
{"role": "volunteer", "content": "So we can see that tea being multiplied by B and X.", "session_id": 9956, "sequence_id": 285, "annotations": []}
{"role": "volunteer", "content": "and then they're also um", "session_id": 9956, "sequence_id": 286, "annotations": []}
{"role": "student", "content": "don't write yet. Just listen.", "session_id": 9956, "sequence_id": 287, "annotations": []}
{"role": "volunteer", "content": "adding a C", "session_id": 9956, "sequence_id": 288, "annotations": []}
{"role": "student", "content": "Don't, don't", "session_id": 9956, "sequence_id": 289, "annotations": []}
{"role": "volunteer", "content": "So", "session_id": 9956, "sequence_id": 290, "annotations": []}
{"role": "student", "content": "like listen.", "session_id": 9956, "sequence_id": 291, "annotations": []}
{"role": "volunteer", "content": "it's fine", "session_id": 9956, "sequence_id": 292, "annotations": []}
{"role": "volunteer", "content": "All right", "session_id": 9956, "sequence_id": 293, "annotations": []}
{"role": "volunteer", "content": "So which variable do you think is gonna be the easiest to get to the other side right now.", "session_id": 9956, "sequence_id": 294, "annotations": []}
{"role": "student", "content": "Uh", "session_id": 9956, "sequence_id": 295, "annotations": []}
{"role": "student", "content": "sing", "session_id": 9956, "sequence_id": 296, "annotations": []}
{"role": "volunteer", "content": "Yup, see, you definitely want to do, you definitely want to get rid of like any multiplication, sorry, not multiplication, oh my gosh, addition or subtraction before you like mul like divide or multiply aside.", "session_id": 9956, "sequence_id": 297, "annotations": []}
{"role": "student", "content": "Oh my gosh", "session_id": 9956, "sequence_id": 298, "annotations": []}
{"role": "volunteer", "content": "I feel like some people like try to divide first, but if you were to divide both sides by B, then you would also have to divide C by B, so it makes it harder. So yep, we're gonna, we're gonna try to move C to the other side. So what operations should we use?", "session_id": 9956, "sequence_id": 299, "annotations": []}
{"role": "student", "content": "subtraction.", "session_id": 9956, "sequence_id": 300, "annotations": []}
{"role": "volunteer", "content": "Yep subtraction, uh, what should we subtract?", "session_id": 9956, "sequence_id": 301, "annotations": []}
{"role": "student", "content": "Go check it out", "session_id": 9956, "sequence_id": 302, "annotations": []}
{"role": "volunteer", "content": "Uh, what should we subtract from both sides.", "session_id": 9956, "sequence_id": 303, "annotations": []}
{"role": "student", "content": "Um", "session_id": 9956, "sequence_id": 304, "annotations": []}
{"role": "student", "content": "just tell her your best just let's seed from both sides.", "session_id": 9956, "sequence_id": 305, "annotations": []}
{"role": "volunteer", "content": "Yes, perfect. So,", "session_id": 9956, "sequence_id": 306, "annotations": []}
{"role": "volunteer", "content": "on the left side, we're gonna have A minus C.", "session_id": 9956, "sequence_id": 307, "annotations": []}
{"role": "volunteer", "content": "equals BXT", "session_id": 9956, "sequence_id": 308, "annotations": []}
{"role": "volunteer", "content": "plus C minus C.", "session_id": 9956, "sequence_id": 309, "annotations": []}
{"role": "volunteer", "content": "And that's just gonna equal 0.", "session_id": 9956, "sequence_id": 310, "annotations": []}
{"role": "student", "content": "Mm", "session_id": 9956, "sequence_id": 311, "annotations": []}
{"role": "volunteer", "content": "You're gonna just cross it out.", "session_id": 9956, "sequence_id": 312, "annotations": []}
{"role": "volunteer", "content": "So we're just gonna have A minus C.", "session_id": 9956, "sequence_id": 313, "annotations": []}
{"role": "volunteer", "content": "equals BXT.", "session_id": 9956, "sequence_id": 314, "annotations": []}
{"role": "volunteer", "content": "Now that we have that", "session_id": 9956, "sequence_id": 315, "annotations": []}
{"role": "volunteer", "content": "um", "session_id": 9956, "sequence_id": 316, "annotations": []}
{"role": "volunteer", "content": "what, what do you think our next step should be?", "session_id": 9956, "sequence_id": 317, "annotations": []}
{"role": "student", "content": "uh just like", "session_id": 9956, "sequence_id": 318, "annotations": []}
{"role": "student", "content": "to divide the uh, the BNX.", "session_id": 9956, "sequence_id": 319, "annotations": []}
{"role": "volunteer", "content": "divide, OK, sorry, my thing keeps on cutting out. So,", "session_id": 9956, "sequence_id": 320, "annotations": []}
{"role": "student", "content": "OK", "session_id": 9956, "sequence_id": 321, "annotations": []}
{"role": "student", "content": "Say it again. It's OK", "session_id": 9956, "sequence_id": 322, "annotations": []}
{"role": "student", "content": "say what? Repeat what you were saying to uh get rid of the BNX.", "session_id": 9956, "sequence_id": 323, "annotations": []}
{"role": "volunteer", "content": "yeah, yeah, exactly, and we should um", "session_id": 9956, "sequence_id": 324, "annotations": []}
{"role": "volunteer", "content": "yes, he said divide. I do remember you saying that. OK, so we're gonna divide both sides by", "session_id": 9956, "sequence_id": 325, "annotations": []}
{"role": "student", "content": "BNX", "session_id": 9956, "sequence_id": 326, "annotations": []}
{"role": "volunteer", "content": "exactly. So,", "session_id": 9956, "sequence_id": 327, "annotations": []}
{"role": "volunteer", "content": "the right side, we're gonna have BXT.", "session_id": 9956, "sequence_id": 328, "annotations": []}
{"role": "volunteer", "content": "divided by", "session_id": 9956, "sequence_id": 329, "annotations": []}
{"role": "volunteer", "content": "EX", "session_id": 9956, "sequence_id": 330, "annotations": []}
{"role": "volunteer", "content": "On the other side, we're gonna have a minus C divided by BX.", "session_id": 9956, "sequence_id": 331, "annotations": []}
{"role": "volunteer", "content": "And then since BNX", "session_id": 9956, "sequence_id": 332, "annotations": []}
{"role": "volunteer", "content": "she's gonna cancel out", "session_id": 9956, "sequence_id": 333, "annotations": []}
{"role": "volunteer", "content": "We're just gonna be left with", "session_id": 9956, "sequence_id": 334, "annotations": []}
{"role": "volunteer", "content": "A minus C", "session_id": 9956, "sequence_id": 335, "annotations": []}
{"role": "volunteer", "content": "B X", "session_id": 9956, "sequence_id": 336, "annotations": []}
{"role": "volunteer", "content": "equals T and then amazing.", "session_id": 9956, "sequence_id": 337, "annotations": []}
{"role": "volunteer", "content": "I don't even really have to help you that time. So", "session_id": 9956, "sequence_id": 338, "annotations": []}
{"role": "student", "content": "He's writing stuff down now.", "session_id": 9956, "sequence_id": 339, "annotations": []}
{"role": "student", "content": "Thank you. Thank you.", "session_id": 9956, "sequence_id": 340, "annotations": []}
{"role": "volunteer", "content": "yeah, I don't know why my upkeep is so glitchy.", "session_id": 9956, "sequence_id": 341, "annotations": []}
{"role": "volunteer", "content": "All right, but amazing", "session_id": 9956, "sequence_id": 342, "annotations": []}
{"role": "student", "content": "Can we do a couple more, please", "session_id": 9956, "sequence_id": 343, "annotations": []}
{"role": "volunteer", "content": "Yeah, of course.", "session_id": 9956, "sequence_id": 344, "annotations": []}
{"role": "student", "content": "Thank you so much, Mia", "session_id": 9956, "sequence_id": 345, "annotations": [{"pii_type": "PERSON", "surrogate": "Mia", "start": 19, "end": 22}]}
{"role": "volunteer", "content": "Yeah, no problem. He's already seeming like a pro, honestly.", "session_id": 9956, "sequence_id": 346, "annotations": []}
{"role": "student", "content": "Thank you.", "session_id": 9956, "sequence_id": 347, "annotations": []}
{"role": "volunteer", "content": "me a very long time to understand how to do these. And I was also just teaching one of my classmates.", "session_id": 9956, "sequence_id": 348, "annotations": []}
{"role": "volunteer", "content": "my", "session_id": 9956, "sequence_id": 349, "annotations": []}
{"role": "student", "content": "Thank you.", "session_id": 9956, "sequence_id": 350, "annotations": []}
{"role": "volunteer", "content": "people from my school", "session_id": 9956, "sequence_id": 351, "annotations": []}
{"role": "volunteer", "content": "So yeah, it's, it's a hard topic. It's", "session_id": 9956, "sequence_id": 352, "annotations": []}
{"role": "student", "content": "OK", "session_id": 9956, "sequence_id": 353, "annotations": []}
{"role": "volunteer", "content": "but you know, you, so don't worry.", "session_id": 9956, "sequence_id": 354, "annotations": []}
{"role": "student", "content": "Thank you", "session_id": 9956, "sequence_id": 355, "annotations": []}
{"role": "student", "content": "You I was fine with these two.", "session_id": 9956, "sequence_id": 356, "annotations": []}
{"role": "student", "content": "It says, OK, here you got.", "session_id": 9956, "sequence_id": 357, "annotations": []}
{"role": "student", "content": "All right, so you want to tell her what's the next one? Um", "session_id": 9956, "sequence_id": 358, "annotations": []}
{"role": "student", "content": "just let her know and just read it online. It's why", "session_id": 9956, "sequence_id": 359, "annotations": []}
{"role": "volunteer", "content": "Mhm.", "session_id": 9956, "sequence_id": 360, "annotations": []}
{"role": "student", "content": "minus 2 x equals 6 and we.", "session_id": 9956, "sequence_id": 361, "annotations": []}
{"role": "student", "content": "solid for once.", "session_id": 9956, "sequence_id": 362, "annotations": []}
{"role": "volunteer", "content": "OK, Y minus 2 x equals 6.", "session_id": 9956, "sequence_id": 363, "annotations": []}
{"role": "student", "content": "I", "session_id": 9956, "sequence_id": 364, "annotations": []}
{"role": "student", "content": "to", "session_id": 9956, "sequence_id": 365, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 9956, "sequence_id": 366, "annotations": []}
{"role": "volunteer", "content": "And what are we solving for?", "session_id": 9956, "sequence_id": 367, "annotations": []}
{"role": "student", "content": "Uh, why", "session_id": 9956, "sequence_id": 368, "annotations": []}
{"role": "volunteer", "content": "Oh, OK, OK. All right", "session_id": 9956, "sequence_id": 369, "annotations": []}
{"role": "student", "content": "I don't need, OK, if you don't need help, then what is the next step?", "session_id": 9956, "sequence_id": 370, "annotations": []}
{"role": "student", "content": "Uh", "session_id": 9956, "sequence_id": 371, "annotations": []}
{"role": "student", "content": "adding 2 X to both sides.", "session_id": 9956, "sequence_id": 372, "annotations": []}
{"role": "volunteer", "content": "Yeah, exactly. Honestly, that's the only stuff you gotta do.", "session_id": 9956, "sequence_id": 373, "annotations": []}
{"role": "volunteer", "content": "All right.", "session_id": 9956, "sequence_id": 374, "annotations": []}
{"role": "volunteer", "content": "Yeah, I keep on glitching. Oh my gosh.", "session_id": 9956, "sequence_id": 375, "annotations": []}
{"role": "volunteer", "content": "So why", "session_id": 9956, "sequence_id": 376, "annotations": []}
{"role": "volunteer", "content": "minus 2 X", "session_id": 9956, "sequence_id": 377, "annotations": []}
{"role": "volunteer", "content": "+ 2 X", "session_id": 9956, "sequence_id": 378, "annotations": []}
{"role": "volunteer", "content": "equals 6", "session_id": 9956, "sequence_id": 379, "annotations": []}
{"role": "volunteer", "content": "+ 2 X", "session_id": 9956, "sequence_id": 380, "annotations": []}
{"role": "volunteer", "content": "But we know it's -2 X and this + 2 x just equals 0.", "session_id": 9956, "sequence_id": 381, "annotations": []}
{"role": "volunteer", "content": "So we're gonna cross that out", "session_id": 9956, "sequence_id": 382, "annotations": []}
{"role": "volunteer", "content": "And yeah, you have Y equals 6 + 2 X.", "session_id": 9956, "sequence_id": 383, "annotations": []}
{"role": "volunteer", "content": "as your final", "session_id": 9956, "sequence_id": 384, "annotations": []}
{"role": "volunteer", "content": "your final thing", "session_id": 9956, "sequence_id": 385, "annotations": []}
{"role": "student", "content": "Thank you. So, the 6 + 2 X, will that be 8X?", "session_id": 9956, "sequence_id": 386, "annotations": []}
{"role": "volunteer", "content": "Oh, is it 6 sacks", "session_id": 9956, "sequence_id": 387, "annotations": []}
{"role": "student", "content": "Oh, no, no, yeah, it's it's, oh no, that's", "session_id": 9956, "sequence_id": 388, "annotations": []}
{"role": "student", "content": "just", "session_id": 9956, "sequence_id": 389, "annotations": []}
{"role": "volunteer", "content": "Is it, uh, is a 6 by itself? If it has an X after it, then yeah.", "session_id": 9956, "sequence_id": 390, "annotations": []}
{"role": "student", "content": "this is just 6. It's just sexy.", "session_id": 9956, "sequence_id": 391, "annotations": []}
{"role": "volunteer", "content": "OK, OK", "session_id": 9956, "sequence_id": 392, "annotations": []}
{"role": "volunteer", "content": "Yeah, so Liam uh then it's just uh 6 + 2 X.", "session_id": 9956, "sequence_id": 393, "annotations": [{"pii_type": "PERSON", "surrogate": "Liam", "start": 9, "end": 13}]}
{"role": "volunteer", "content": "OK, wait, hold on, my family back home. Hi.", "session_id": 9956, "sequence_id": 394, "annotations": []}
{"role": "student", "content": "So what would that be", "session_id": 9956, "sequence_id": 395, "annotations": []}
{"role": "volunteer", "content": "OK, my bad. Oh", "session_id": 9956, "sequence_id": 396, "annotations": []}
{"role": "student", "content": "She will help us", "session_id": 9956, "sequence_id": 397, "annotations": []}
{"role": "student", "content": "So is that the final answer? Y equals 6 + 2 x?", "session_id": 9956, "sequence_id": 398, "annotations": []}
{"role": "volunteer", "content": "yep, Y equals 6 + 2 x because um we can't simplify anything further.", "session_id": 9956, "sequence_id": 399, "annotations": []}
{"role": "student", "content": "OK", "session_id": 9956, "sequence_id": 400, "annotations": []}
{"role": "student", "content": "OK", "session_id": 9956, "sequence_id": 401, "annotations": []}
{"role": "volunteer", "content": "but doesn't have a variable, like it's just a constant while two has a very too, I mean Liam oh my gosh.", "session_id": 9956, "sequence_id": 402, "annotations": [{"pii_type": "PERSON", "surrogate": "Liam", "start": 88, "end": 92}]}
{"role": "student", "content": "Yes, OK", "session_id": 9956, "sequence_id": 403, "annotations": []}
{"role": "volunteer", "content": "What", "session_id": 9956, "sequence_id": 404, "annotations": []}
{"role": "student", "content": "And all right, thank you. And can we do just one last one, please?", "session_id": 9956, "sequence_id": 405, "annotations": []}
{"role": "volunteer", "content": "Yeah, let's do another one", "session_id": 9956, "sequence_id": 406, "annotations": []}
{"role": "student", "content": "OK. The only reason, maybe that's fine.", "session_id": 9956, "sequence_id": 407, "annotations": []}
{"role": "student", "content": "Let her know what it is. It's 2 x minus 3Y equals 6 and sulfur X.", "session_id": 9956, "sequence_id": 408, "annotations": []}
{"role": "volunteer", "content": "3 Y equals 6", "session_id": 9956, "sequence_id": 409, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 9956, "sequence_id": 410, "annotations": []}
{"role": "volunteer", "content": "All right.", "session_id": 9956, "sequence_id": 411, "annotations": []}
{"role": "volunteer", "content": "Yep.", "session_id": 9956, "sequence_id": 412, "annotations": []}
{"role": "volunteer", "content": "OK, so wait wait it's all for X", "session_id": 9956, "sequence_id": 413, "annotations": []}
{"role": "student", "content": "Uh, yes.", "session_id": 9956, "sequence_id": 414, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 9956, "sequence_id": 415, "annotations": []}
{"role": "student", "content": "we", "session_id": 9956, "sequence_id": 416, "annotations": []}
{"role": "volunteer", "content": "We're solving for x", "session_id": 9956, "sequence_id": 417, "annotations": []}
{"role": "volunteer", "content": "um, I mean, what should our first step be to just get X by itself.", "session_id": 9956, "sequence_id": 418, "annotations": []}
{"role": "student", "content": "uh, adding CY to to both.", "session_id": 9956, "sequence_id": 419, "annotations": []}
{"role": "volunteer", "content": "Yes, exactly", "session_id": 9956, "sequence_id": 420, "annotations": []}
{"role": "volunteer", "content": "right", "session_id": 9956, "sequence_id": 421, "annotations": []}
{"role": "student", "content": "my aunt.", "session_id": 9956, "sequence_id": 422, "annotations": []}
{"role": "volunteer", "content": "Uh 3Y", "session_id": 9956, "sequence_id": 423, "annotations": []}
{"role": "volunteer", "content": "Yeah, and we're just gonna get 2 X equals", "session_id": 9956, "sequence_id": 424, "annotations": []}
{"role": "volunteer", "content": "6.", "session_id": 9956, "sequence_id": 425, "annotations": []}
{"role": "volunteer", "content": "OK, 6 + 3Y.", "session_id": 9956, "sequence_id": 426, "annotations": []}
{"role": "volunteer", "content": "And then", "session_id": 9956, "sequence_id": 427, "annotations": []}
{"role": "volunteer", "content": "uh what step should we do next?", "session_id": 9956, "sequence_id": 428, "annotations": []}
{"role": "student", "content": "Um, dividing by two on both sides.", "session_id": 9956, "sequence_id": 429, "annotations": []}
{"role": "volunteer", "content": "Mm, yup", "session_id": 9956, "sequence_id": 430, "annotations": []}
{"role": "volunteer", "content": "So we're gonna cancel out that too. That's on the X.", "session_id": 9956, "sequence_id": 431, "annotations": []}
{"role": "volunteer", "content": "We're gonna have 6 + 3Y over 2.", "session_id": 9956, "sequence_id": 432, "annotations": []}
{"role": "volunteer", "content": "All right.", "session_id": 9956, "sequence_id": 433, "annotations": []}
{"role": "volunteer", "content": "This one's a little tricky cause", "session_id": 9956, "sequence_id": 434, "annotations": []}
{"role": "volunteer", "content": "uh when we get this answer at the end, we're gonna think that um", "session_id": 9956, "sequence_id": 435, "annotations": []}
{"role": "volunteer", "content": "we can actually simplify this further. The 3.", "session_id": 9956, "sequence_id": 436, "annotations": []}
{"role": "volunteer", "content": "I guess it depends on what your teacher wants.", "session_id": 9956, "sequence_id": 437, "annotations": []}
{"role": "student", "content": "Can you simplify the 6 and the 2?", "session_id": 9956, "sequence_id": 438, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 9956, "sequence_id": 439, "annotations": []}
{"role": "student", "content": "Mhm", "session_id": 9956, "sequence_id": 440, "annotations": []}
{"role": "volunteer", "content": "you can either keep it this way, cause I realized the other one isn't, like it'll still be a fraction.", "session_id": 9956, "sequence_id": 441, "annotations": []}
{"role": "student", "content": "Right", "session_id": 9956, "sequence_id": 442, "annotations": []}
{"role": "volunteer", "content": "Uh we can split this up", "session_id": 9956, "sequence_id": 443, "annotations": []}
{"role": "volunteer", "content": "So when you're adding stuff in the numerator.", "session_id": 9956, "sequence_id": 444, "annotations": []}
{"role": "volunteer", "content": "Let's say you have A + B divided by", "session_id": 9956, "sequence_id": 445, "annotations": []}
{"role": "volunteer", "content": "3, for instance", "session_id": 9956, "sequence_id": 446, "annotations": []}
{"role": "volunteer", "content": "You can uh turn this into a divided by 3.", "session_id": 9956, "sequence_id": 447, "annotations": []}
{"role": "volunteer", "content": "plus um be divided by 3.", "session_id": 9956, "sequence_id": 448, "annotations": []}
{"role": "student", "content": "Mhm", "session_id": 9956, "sequence_id": 449, "annotations": []}
{"role": "volunteer", "content": "So if we wanted to apply this, this is all because they have like a common denominator, technically.", "session_id": 9956, "sequence_id": 450, "annotations": []}
{"role": "student", "content": "Mhm", "session_id": 9956, "sequence_id": 451, "annotations": []}
{"role": "volunteer", "content": "So, if we want to apply this to the answer we just got right now.", "session_id": 9956, "sequence_id": 452, "annotations": []}
{"role": "volunteer", "content": "Could you split it up into two", "session_id": 9956, "sequence_id": 453, "annotations": []}
{"role": "student", "content": "Um", "session_id": 9956, "sequence_id": 454, "annotations": []}
{"role": "student", "content": "3", "session_id": 9956, "sequence_id": 455, "annotations": []}
{"role": "student", "content": "divide by 2 plus.", "session_id": 9956, "sequence_id": 456, "annotations": []}
{"role": "student", "content": "3 Y divided by 2.", "session_id": 9956, "sequence_id": 457, "annotations": []}
{"role": "student", "content": "62, 62.", "session_id": 9956, "sequence_id": 458, "annotations": []}
{"role": "volunteer", "content": "All right, yes", "session_id": 9956, "sequence_id": 459, "annotations": []}
{"role": "volunteer", "content": "6 divided by 2.", "session_id": 9956, "sequence_id": 460, "annotations": []}
{"role": "student", "content": "6 divided by 2 + 31.", "session_id": 9956, "sequence_id": 461, "annotations": []}
{"role": "student", "content": "Mhm", "session_id": 9956, "sequence_id": 462, "annotations": []}
{"role": "volunteer", "content": "3 Y divided by 2.", "session_id": 9956, "sequence_id": 463, "annotations": []}
{"role": "volunteer", "content": "Because this will be the A, I don't know if you can see my cursor.", "session_id": 9956, "sequence_id": 464, "annotations": []}
{"role": "student", "content": "OK", "session_id": 9956, "sequence_id": 465, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 9956, "sequence_id": 466, "annotations": []}
{"role": "volunteer", "content": "Yeah, this would be counted as the A.", "session_id": 9956, "sequence_id": 467, "annotations": []}
{"role": "volunteer", "content": "This would be counted as the B", "session_id": 9956, "sequence_id": 468, "annotations": []}
{"role": "volunteer", "content": "Yeah, the two different variables. So now that we've uh wrote this out.", "session_id": 9956, "sequence_id": 469, "annotations": []}
{"role": "volunteer", "content": "Uh, which, which one looks like it could be simplified?", "session_id": 9956, "sequence_id": 470, "annotations": []}
{"role": "student", "content": "Um", "session_id": 9956, "sequence_id": 471, "annotations": []}
{"role": "student", "content": "6 and 2", "session_id": 9956, "sequence_id": 472, "annotations": []}
{"role": "volunteer", "content": "Yes, exactly. The 6th and the 2. So what can we simplify this to?", "session_id": 9956, "sequence_id": 473, "annotations": []}
{"role": "student", "content": "1 and 3, three and 1.", "session_id": 9956, "sequence_id": 474, "annotations": []}
{"role": "student", "content": "and 1", "session_id": 9956, "sequence_id": 475, "annotations": []}
{"role": "volunteer", "content": "3, the 6 divided by 2 is just equal to 3, right?", "session_id": 9956, "sequence_id": 476, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 9956, "sequence_id": 477, "annotations": []}
{"role": "volunteer", "content": "Right.", "session_id": 9956, "sequence_id": 478, "annotations": []}
{"role": "volunteer", "content": "So", "session_id": 9956, "sequence_id": 479, "annotations": []}
{"role": "volunteer", "content": "we'll have 3, and then I'll bus, it'll it'll be, oh my gosh, it'll be.", "session_id": 9956, "sequence_id": 480, "annotations": []}
{"role": "volunteer", "content": "equal to 3 divided 3 divided by 2.", "session_id": 9956, "sequence_id": 481, "annotations": []}
{"role": "student", "content": "Mm", "session_id": 9956, "sequence_id": 482, "annotations": []}
{"role": "volunteer", "content": "If you want to, you can put the fraction on the outside and just make it 3 divided by 2 times Y, or you can just leave it as 3y divide by 2.", "session_id": 9956, "sequence_id": 483, "annotations": []}
{"role": "volunteer", "content": "So,", "session_id": 9956, "sequence_id": 484, "annotations": []}
{"role": "student", "content": "OK", "session_id": 9956, "sequence_id": 485, "annotations": []}
{"role": "volunteer", "content": "you have um two different ways you could put it. You could put it as 6 + 3 Y divided by 2, but some people like it more when it's just uh made into 3+.", "session_id": 9956, "sequence_id": 486, "annotations": []}
{"role": "volunteer", "content": "3 divide uh 3 divided by 2 Y.", "session_id": 9956, "sequence_id": 487, "annotations": []}
{"role": "volunteer", "content": "So yeah, you have your", "session_id": 9956, "sequence_id": 488, "annotations": []}
{"role": "volunteer", "content": "final answer", "session_id": 9956, "sequence_id": 489, "annotations": []}
{"role": "student", "content": "OK", "session_id": 9956, "sequence_id": 490, "annotations": []}
{"role": "student", "content": "OK, what do you say? Thank you, that's very well.", "session_id": 9956, "sequence_id": 491, "annotations": []}
{"role": "student", "content": "David, I can't say his full name.", "session_id": 9956, "sequence_id": 492, "annotations": [{"pii_type": "PERSON", "surrogate": "David", "start": 0, "end": 5}]}
{"role": "student", "content": "David", "session_id": 9956, "sequence_id": 493, "annotations": [{"pii_type": "PERSON", "surrogate": "David", "start": 0, "end": 5}]}
{"role": "volunteer", "content": "Thank you my blushing. Oh, of course.", "session_id": 9956, "sequence_id": 494, "annotations": []}
{"role": "volunteer", "content": "You learn, you learn very quickly", "session_id": 9956, "sequence_id": 495, "annotations": []}
{"role": "volunteer", "content": "I had, I had to explain this to my friend for like ages, so", "session_id": 9956, "sequence_id": 496, "annotations": []}
{"role": "volunteer", "content": "uh you're very fast learner", "session_id": 9956, "sequence_id": 497, "annotations": []}
{"role": "volunteer", "content": "So you got this", "session_id": 9956, "sequence_id": 498, "annotations": []}
{"role": "student", "content": "Thank you", "session_id": 9956, "sequence_id": 499, "annotations": []}
{"role": "volunteer", "content": "your studies", "session_id": 9956, "sequence_id": 500, "annotations": []}
{"role": "volunteer", "content": "are", "session_id": 9956, "sequence_id": 501, "annotations": []}
{"role": "student", "content": "Thank you, Ms. Mia. Yes, thank you.", "session_id": 9956, "sequence_id": 502, "annotations": [{"pii_type": "PERSON", "surrogate": "Mia", "start": 15, "end": 18}]}
{"role": "volunteer", "content": "All right", "session_id": 9956, "sequence_id": 503, "annotations": []}
{"role": "student", "content": "Have a great day", "session_id": 9956, "sequence_id": 504, "annotations": []}
{"role": "volunteer", "content": "OK.", "session_id": 9956, "sequence_id": 505, "annotations": []}
{"role": "volunteer", "content": "Hello how are you?", "session_id": 9959, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "I am good.", "session_id": 9959, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "That's always nice to hear.", "session_id": 9959, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "What is it that you are concerned about?", "session_id": 9959, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "How can I know where i place the dot on a grid", "session_id": 9959, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "Like if it is (7,2)", "session_id": 9959, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "Well, one thing we must know is that every coordinate is set up as (x,y).", "session_id": 9959, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "X is the horizontal or flat line while the Y is the tall or vertical line", "session_id": 9959, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "Oh ok", "session_id": 9959, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "So when given (7,2) you would want to go 7 squares to the right on the flate line", "session_id": 9959, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "Flat line*", "session_id": 9959, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "While going up 2 squares in the tall line.", "session_id": 9959, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "However one thing you must note is that if the X is negative you go left and if the Y is negative you go down", "session_id": 9959, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "So what do you think you should do when given (-7-2)?", "session_id": 9959, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "I think you go down 2 and left 7 because they are not positive number", "session_id": 9959, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "Nice work!", "session_id": 9959, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "Oh ok thank you i just had that for a question.", "session_id": 9959, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "Bye", "session_id": 9959, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "Goodbye!", "session_id": 9959, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "hi", "session_id": 10042, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "hey", "session_id": 10042, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "i am here to help.", "session_id": 10042, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "ok give me a sec", "session_id": 10042, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "k", "session_id": 10042, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "good work", "session_id": 10042, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "yay", "session_id": 10042, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "yay!", "session_id": 10042, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "i know for sure that <4 and <12 is", "session_id": 10042, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "right", "session_id": 10042, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "1 and 3", "session_id": 10042, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "2 and 4", "session_id": 10042, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "lots of corresponding angles", "session_id": 10042, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "1 and 4?", "session_id": 10042, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "no", "session_id": 10042, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "1 and 3", "session_id": 10042, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "2 and 4", "session_id": 10042, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "these are my options", "session_id": 10042, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "are 12 and 16 corresponding?", "session_id": 10042, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "yes", "session_id": 10042, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "no", "session_id": 10042, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "they are vertical angles", "session_id": 10042, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "oh", "session_id": 10042, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "no", "session_id": 10042, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "6 and 4 ?", "session_id": 10042, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "yes", "session_id": 10042, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "one thing about corresponding angles.", "session_id": 10042, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "one will be interior and one will be exterior.", "session_id": 10042, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "6 and 4 are both exterior.", "session_id": 10042, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "they are alternate exterior.", "session_id": 10042, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "not corresponding angles.", "session_id": 10042, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "ah", "session_id": 10042, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "also corresponding angles are congruent.", "session_id": 10042, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "8 and 2 are alternate interios", "session_id": 10042, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "but 4 and 12 ar both exterior", "session_id": 10042, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "12 is interior.", "session_id": 10042, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "it is between the parallel lines.", "session_id": 10042, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "oh 15 would be exterior", "session_id": 10042, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "yes ti 15 being exterior", "session_id": 10042, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "correct?", "session_id": 10042, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "let's look at 5 and 7", "session_id": 10042, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "theyre both interior", "session_id": 10042, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "if we use the blue lines, 5 is interior", "session_id": 10042, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "yes", "session_id": 10042, "sequence_id": 43, "annotations": []}
{"role": "student", "content": "its between parallel linees tho", "session_id": 10042, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "there are two sets of parallel lines in this picture.", "session_id": 10042, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "the blue lines and the yellow lines.", "session_id": 10042, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "12 is interior for the yellow lines, but it is exterior for the blue lines.", "session_id": 10042, "sequence_id": 47, "annotations": []}
{"role": "student", "content": "og i get it", "session_id": 10042, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "great!", "session_id": 10042, "sequence_id": 49, "annotations": []}
{"role": "student", "content": "these would be qual to each other?", "session_id": 10042, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 10042, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "why?", "session_id": 10042, "sequence_id": 52, "annotations": []}
{"role": "student", "content": "because they are congruent?", "session_id": 10042, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "why", "session_id": 10042, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "what is their special name?", "session_id": 10042, "sequence_id": 55, "annotations": []}
{"role": "student", "content": "corresponging", "session_id": 10042, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "are they alternate interior or corresponding>", "session_id": 10042, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "right!", "session_id": 10042, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "are the angles alternate exterior angles?", "session_id": 10042, "sequence_id": 59, "annotations": []}
{"role": "student", "content": "no", "session_id": 10042, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "do both angles appear to be acute?", "session_id": 10042, "sequence_id": 61, "annotations": []}
{"role": "student", "content": "no", "session_id": 10042, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "is one acute and one obtuse?", "session_id": 10042, "sequence_id": 63, "annotations": []}
{"role": "student", "content": "yes'", "session_id": 10042, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "so they are not equal.", "session_id": 10042, "sequence_id": 65, "annotations": []}
{"role": "student", "content": "what would they equal to then?", "session_id": 10042, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "angles in parallel lines are either congruent or they are supplementary.", "session_id": 10042, "sequence_id": 67, "annotations": []}
{"role": "student", "content": "theyre supplementary", "session_id": 10042, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "right", "session_id": 10042, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "what is supplementary?", "session_id": 10042, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "90 degrees", "session_id": 10042, "sequence_id": 71, "annotations": []}
{"role": "student", "content": "180", "session_id": 10042, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "right", "session_id": 10042, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "good", "session_id": 10042, "sequence_id": 74, "annotations": []}
{"role": "student", "content": "1 and 6 are alternate interior angles right", "session_id": 10042, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "correct!", "session_id": 10042, "sequence_id": 76, "annotations": []}
{"role": "student", "content": "so they would be equal to each other", "session_id": 10042, "sequence_id": 77, "annotations": []}
{"role": "student", "content": "yellow?", "session_id": 10042, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "are the questions getting easier?", "session_id": 10042, "sequence_id": 79, "annotations": []}
{"role": "student", "content": "a little yes", "session_id": 10042, "sequence_id": 80, "annotations": []}
{"role": "student", "content": "im on question 15 out of 20", "session_id": 10042, "sequence_id": 81, "annotations": []}
{"role": "student", "content": "but some of them i can do on my own", "session_id": 10042, "sequence_id": 82, "annotations": []}
{"role": "volunteer", "content": "kk", "session_id": 10042, "sequence_id": 83, "annotations": []}
{"role": "student", "content": "it would also help", "session_id": 10042, "sequence_id": 84, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 10042, "sequence_id": 85, "annotations": []}
{"role": "volunteer", "content": "alternate exterior angles", "session_id": 10042, "sequence_id": 86, "annotations": []}
{"role": "volunteer", "content": "I just remembered an errand.", "session_id": 10042, "sequence_id": 87, "annotations": []}
{"role": "student", "content": "last one please", "session_id": 10042, "sequence_id": 88, "annotations": []}
{"role": "volunteer", "content": "I need to sign off now.", "session_id": 10042, "sequence_id": 89, "annotations": []}
{"role": "volunteer", "content": "you are doing well.", "session_id": 10042, "sequence_id": 90, "annotations": []}
{"role": "student", "content": "just this oneeee", "session_id": 10042, "sequence_id": 91, "annotations": []}
{"role": "volunteer", "content": "yes, slope is 2", "session_id": 10042, "sequence_id": 92, "annotations": []}
{"role": "student", "content": "pleaseee", "session_id": 10042, "sequence_id": 93, "annotations": []}
{"role": "volunteer", "content": "got to go.", "session_id": 10042, "sequence_id": 94, "annotations": []}
{"role": "volunteer", "content": "Ok.", "session_id": 10042, "sequence_id": 95, "annotations": []}
{"role": "volunteer", "content": "it is for my neighbor.", "session_id": 10042, "sequence_id": 96, "annotations": []}
{"role": "student", "content": "i just needf to get the equation", "session_id": 10042, "sequence_id": 97, "annotations": []}
{"role": "volunteer", "content": "I will stay signed on and come back.", "session_id": 10042, "sequence_id": 98, "annotations": []}
{"role": "volunteer", "content": "kk", "session_id": 10042, "sequence_id": 99, "annotations": []}
{"role": "student", "content": "yesss", "session_id": 10042, "sequence_id": 100, "annotations": []}
{"role": "student", "content": "ok", "session_id": 10042, "sequence_id": 101, "annotations": []}
{"role": "student", "content": "thank you", "session_id": 10042, "sequence_id": 102, "annotations": []}
{"role": "volunteer", "content": "coming right back.", "session_id": 10042, "sequence_id": 103, "annotations": []}
{"role": "volunteer", "content": "2 is the slope for perpendicular", "session_id": 10042, "sequence_id": 104, "annotations": []}
{"role": "volunteer", "content": "slope is -1/2.", "session_id": 10042, "sequence_id": 105, "annotations": []}
{"role": "volunteer", "content": "flip and change the sign for perpendicular slope.", "session_id": 10042, "sequence_id": 106, "annotations": []}
{"role": "student", "content": "ok", "session_id": 10042, "sequence_id": 107, "annotations": []}
{"role": "student", "content": "thank you", "session_id": 10042, "sequence_id": 108, "annotations": []}
{"role": "student", "content": "im finished", "session_id": 10042, "sequence_id": 109, "annotations": []}
{"role": "student", "content": "Liam", "session_id": 10046, "sequence_id": 0, "annotations": [{"pii_type": "PERSON", "surrogate": "Liam", "start": 0, "end": 4}]}
{"role": "volunteer", "content": "Hey Liam!", "session_id": 10046, "sequence_id": 1, "annotations": [{"pii_type": "PERSON", "surrogate": "Liam", "start": 4, "end": 8}]}
{"role": "volunteer", "content": "How can I help you today?", "session_id": 10046, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "hi", "session_id": 10046, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "I need help with math", "session_id": 10046, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "Any problem in particular?", "session_id": 10046, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "decimal", "session_id": 10046, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "math", "session_id": 10046, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "Do you have a problem you are working on or would you like to to come up with an example?", "session_id": 10046, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "yes", "session_id": 10046, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "there", "session_id": 10046, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "Okay which part should we solve first?", "session_id": 10046, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "the first one", "session_id": 10046, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "What is the order of operations?", "session_id": 10046, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "the 1 then the 2", "session_id": 10046, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "Well the two is squared so we need to solve all exponents first", "session_id": 10046, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "alr", "session_id": 10046, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "What is two squared?", "session_id": 10046, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "Hello John", "session_id": 10155, "sequence_id": 0, "annotations": [{"pii_type": "PERSON", "surrogate": "John", "start": 6, "end": 10}]}
{"role": "student", "content": "Hi Sarah! I have a quiz tommorow and i have been struggling with these questions!", "session_id": 10155, "sequence_id": 1, "annotations": [{"pii_type": "PERSON", "surrogate": "Sarah", "start": 3, "end": 8}]}
{"role": "volunteer", "content": "okay let's review together on board", "session_id": 10155, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "start with a?", "session_id": 10155, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "yes", "session_id": 10155, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "I will guide on board", "session_id": 10155, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "okay!", "session_id": 10155, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "vertial angles", "session_id": 10155, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "exactly", "session_id": 10155, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "so they are set equal to eachother?", "session_id": 10155, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 10155, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "k", "session_id": 10155, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "use board to solve for X", "session_id": 10155, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "should i add 20", "session_id": 10155, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "subtract 20", "session_id": 10155, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "k", "session_id": 10155, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "oh my days", "session_id": 10155, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "i am legit hald asleep", "session_id": 10155, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "thank you", "session_id": 10155, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": ";)", "session_id": 10155, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "right?", "session_id": 10155, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "so now do i subtract-35 to get Y?", "session_id": 10155, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "not quite", "session_id": 10155, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "oh wait i plug in", "session_id": 10155, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "i gyatt this", "session_id": 10155, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "yeah", "session_id": 10155, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "super!", "session_id": 10155, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "ayyyyy", "session_id": 10155, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "the second one looks scary tho", "session_id": 10155, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "similar concepts", "session_id": 10155, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "okay", "session_id": 10155, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "go for it", "session_id": 10155, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "I color coded the vertical angles", "session_id": 10155, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "okay", "session_id": 10155, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "so now i make an equation?", "session_id": 10155, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 10155, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "7x=56?", "session_id": 10155, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "because they are vertical?", "session_id": 10155, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "exactly", "session_id": 10155, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "wait so now what?", "session_id": 10155, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "2x=?", "session_id": 10155, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "16", "session_id": 10155, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "right?", "session_id": 10155, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "good", "session_id": 10155, "sequence_id": 43, "annotations": []}
{"role": "student", "content": "so do i do 56+16 to get the full angle", "session_id": 10155, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "find y", "session_id": 10155, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "how would you do it?", "session_id": 10155, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "i fear i am lost", "session_id": 10155, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "angle of straight line =?", "session_id": 10155, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "180", "session_id": 10155, "sequence_id": 49, "annotations": []}
{"role": "student", "content": "so would it be-56-16", "session_id": 10155, "sequence_id": 50, "annotations": []}
{"role": "student", "content": "because they are given on that line", "session_id": 10155, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "perfect", "session_id": 10155, "sequence_id": 52, "annotations": []}
{"role": "student", "content": "ah ha", "session_id": 10155, "sequence_id": 53, "annotations": []}
{"role": "student", "content": "right?", "session_id": 10155, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "good work!", "session_id": 10155, "sequence_id": 55, "annotations": []}
{"role": "student", "content": "wait i am cooking rn", "session_id": 10155, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "keep it up!", "session_id": 10155, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "color code the way I did it in a and b", "session_id": 10155, "sequence_id": 58, "annotations": []}
{"role": "student", "content": "right?", "session_id": 10155, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "good", "session_id": 10155, "sequence_id": 60, "annotations": []}
{"role": "student", "content": "so wait this one was hecka confusing", "session_id": 10155, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "remove the black markings it will become more clear", "session_id": 10155, "sequence_id": 62, "annotations": []}
{"role": "student", "content": "oh okay", "session_id": 10155, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "undo", "session_id": 10155, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "I will adjust", "session_id": 10155, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "do my markings make sense?", "session_id": 10155, "sequence_id": 66, "annotations": []}
{"role": "student", "content": "yes", "session_id": 10155, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "so start creating your equations", "session_id": 10155, "sequence_id": 68, "annotations": []}
{"role": "student", "content": "wait would it be y+10 = 90", "session_id": 10155, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "see board", "session_id": 10155, "sequence_id": 70, "annotations": []}
{"role": "student", "content": "oh wait we need to add the x to match it up", "session_id": 10155, "sequence_id": 71, "annotations": []}
{"role": "student", "content": "i see", "session_id": 10155, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "one more equation", "session_id": 10155, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "Y+2x=?", "session_id": 10155, "sequence_id": 74, "annotations": []}
{"role": "student", "content": "180", "session_id": 10155, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 10155, "sequence_id": 76, "annotations": []}
{"role": "student", "content": "dont tell me i need to do elimination", "session_id": 10155, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "sorry", "session_id": 10155, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "no 90", "session_id": 10155, "sequence_id": 79, "annotations": []}
{"role": "student", "content": "oh k", "session_id": 10155, "sequence_id": 80, "annotations": []}
{"role": "volunteer", "content": "y+2x=90", "session_id": 10155, "sequence_id": 81, "annotations": []}
{"role": "student", "content": "oh i get it", "session_id": 10155, "sequence_id": 82, "annotations": []}
{"role": "student", "content": "get rid of y", "session_id": 10155, "sequence_id": 83, "annotations": []}
{"role": "student", "content": "right", "session_id": 10155, "sequence_id": 84, "annotations": []}
{"role": "volunteer", "content": "use board to solve", "session_id": 10155, "sequence_id": 85, "annotations": []}
{"role": "volunteer", "content": "I will guide on board", "session_id": 10155, "sequence_id": 86, "annotations": []}
{"role": "volunteer", "content": "arrange all the terms first", "session_id": 10155, "sequence_id": 87, "annotations": []}
{"role": "student", "content": "oh", "session_id": 10155, "sequence_id": 88, "annotations": []}
{"role": "student", "content": "i am so lost", "session_id": 10155, "sequence_id": 89, "annotations": []}
{"role": "volunteer", "content": "I walk you through it", "session_id": 10155, "sequence_id": 90, "annotations": []}
{"role": "student", "content": "Emily", "session_id": 10155, "sequence_id": 91, "annotations": [{"pii_type": "PERSON", "surrogate": "Emily", "start": 0, "end": 5}]}
{"role": "volunteer", "content": "clear what I did for X?", "session_id": 10155, "sequence_id": 92, "annotations": []}
{"role": "student", "content": "yes", "session_id": 10155, "sequence_id": 93, "annotations": []}
{"role": "volunteer", "content": "cool", "session_id": 10155, "sequence_id": 94, "annotations": []}
{"role": "volunteer", "content": "Now find Y by subbing x", "session_id": 10155, "sequence_id": 95, "annotations": []}
{"role": "student", "content": "oh lawd", "session_id": 10155, "sequence_id": 96, "annotations": []}
{"role": "volunteer", "content": "y=?", "session_id": 10155, "sequence_id": 97, "annotations": []}
{"role": "student", "content": "8", "session_id": 10155, "sequence_id": 98, "annotations": []}
{"role": "volunteer", "content": "y+10=80", "session_id": 10155, "sequence_id": 99, "annotations": []}
{"role": "volunteer", "content": "solve for y", "session_id": 10155, "sequence_id": 100, "annotations": []}
{"role": "volunteer", "content": "y=70", "session_id": 10155, "sequence_id": 101, "annotations": []}
{"role": "volunteer", "content": "clear what I did", "session_id": 10155, "sequence_id": 102, "annotations": []}
{"role": "student", "content": "yes", "session_id": 10155, "sequence_id": 103, "annotations": []}
{"role": "student", "content": "mb i was in another world", "session_id": 10155, "sequence_id": 104, "annotations": []}
{"role": "volunteer", "content": "Good work!", "session_id": 10155, "sequence_id": 105, "annotations": []}
{"role": "volunteer", "content": "Continue your efforts!!!", "session_id": 10155, "sequence_id": 106, "annotations": []}
{"role": "volunteer", "content": "Need to sign off now. Good luck with your quiz!", "session_id": 10155, "sequence_id": 107, "annotations": []}
{"role": "student", "content": "yuhhh", "session_id": 10155, "sequence_id": 108, "annotations": []}
{"role": "student", "content": "word", "session_id": 10155, "sequence_id": 109, "annotations": []}
{"role": "volunteer", "content": "Hi Liam, how can I help you tonight?", "session_id": 10122, "sequence_id": 0, "annotations": [{"pii_type": "PERSON", "surrogate": "Liam", "start": 3, "end": 7}]}
{"role": "student", "content": "Hello! I need help understanding how  to do these fraction questions! :D", "session_id": 10122, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "Can you teach me step by step", "session_id": 10122, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "yeah of course. Have you done multiplication with big numbers?", "session_id": 10122, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "and division", "session_id": 10122, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "Like 140x353?", "session_id": 10122, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "And 60/12?", "session_id": 10122, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "Yeah okay i can show you how to approach this question using variable such as x", "session_id": 10122, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "Okay!", "session_id": 10122, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "and we can find the missing number", "session_id": 10122, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "Can you see that", "session_id": 10122, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 10122, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "okay so for question like we can do cross multiplication", "session_id": 10122, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "Okay!", "session_id": 10122, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "so X * 50 = 15*20", "session_id": 10122, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "okay so what would be 15*20", "session_id": 10122, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "Let me do it on the whiteborad", "session_id": 10122, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "Hmm", "session_id": 10122, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "Okay we can go thru it together", "session_id": 10122, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "Okay!", "session_id": 10122, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "so we can first deal with the 5", "session_id": 10122, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "Okay", "session_id": 10122, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "so 5*0 is 0", "session_id": 10122, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "and 5*2 is 10", "session_id": 10122, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "so that is how we multiply", "session_id": 10122, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "but we still have the 1 left", "session_id": 10122, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "so while doing the second number we get 20 and when we add them we get the product", "session_id": 10122, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "Okay!", "session_id": 10122, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "so we know that 15*20 = 300", "session_id": 10122, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "how are we going to bring the 50 to the other side?", "session_id": 10122, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "Hmmmm", "session_id": 10122, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "Dividing it by 2?", "session_id": 10122, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "So when we are doing equation whatever is multiplied we have to divide it.", "session_id": 10122, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "so x*50 is multipled", "session_id": 10122, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "but we want to make the x by itself so we have to divide 50 in both sides", "session_id": 10122, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "what would 300/50", "session_id": 10122, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "50,100,150,200,250,300", "session_id": 10122, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "6?", "session_id": 10122, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "or we can do 5x6= 30", "session_id": 10122, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "Yup so the missing number would be 6", "session_id": 10122, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "and but a 0 again and that will = 300", "session_id": 10122, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "yup that is right", "session_id": 10122, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "Okay! :D", "session_id": 10122, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "Is their any steps we should cover? :)", "session_id": 10122, "sequence_id": 43, "annotations": []}
{"role": "student", "content": "*there", "session_id": 10122, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "I think that is all. This is how I approach fractions/ proportion", "session_id": 10122, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "Okay!", "session_id": 10122, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "but there might be another way to do it", "session_id": 10122, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "like a model or something but this step is more efficient", "session_id": 10122, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "Okay!", "session_id": 10122, "sequence_id": 49, "annotations": []}
{"role": "student", "content": "Should we cover the model one?", "session_id": 10122, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "Do you need help with anything else?", "session_id": 10122, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "I believe that", "session_id": 10122, "sequence_id": 52, "annotations": []}
{"role": "student", "content": "*that's all!", "session_id": 10122, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "Okay. I am not familiar with the model ones but this is how I approach questions like this", "session_id": 10122, "sequence_id": 54, "annotations": []}
{"role": "student", "content": "Okay :D", "session_id": 10122, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "Okay no worries. Happy studying!!", "session_id": 10122, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "Hey Jamie, how are you?", "session_id": 10194, "sequence_id": 0, "annotations": [{"pii_type": "PERSON", "surrogate": "Jamie", "start": 4, "end": 9}]}
{"role": "student", "content": "hello! Im good thanks! I don't understand this problem", "session_id": 10194, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "We are told:\n\t\u2022\tx = width of the rectangular fountain (horizontal side)\n\t\u2022\tWe need to express the total area of the flowerbeds (the shaded parts around the fountain) as a function of x", "session_id": 10194, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "Imagine:\n\t\u2022\tA rectangle of length y and width x.\n\t\u2022\tOn each side of that rectangle is a half-circle.\nTwo halves on opposite sides combine into a full circle.\n\nThat means there are two full circles total (one from the pair of half-circles on the left/right, one from the pair on the top/bottom).", "session_id": 10194, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "Are you with me so far?", "session_id": 10194, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "yep", "session_id": 10194, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "So now what would you think for next steps given what we've discussed so far", "session_id": 10194, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "so the vertical half circles would be y and we could use the equation of the area of a circle ?", "session_id": 10194, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "Close", "session_id": 10194, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "We are looking for the perimeter, not the area", "session_id": 10194, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "ohh so we would use the equation of the perimeter", "session_id": 10194, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "Yes", "session_id": 10194, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "Which equation would be use?", "session_id": 10194, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "2(pi)(r)", "session_id": 10194, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "That's part of it", "session_id": 10194, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "but remember we are looking for two shapes", "session_id": 10194, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "The rectangle and the circles", "session_id": 10194, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "2(pi)(r)+y?", "session_id": 10194, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "So, what's the formula for the perimeter of a rectangle given length x, and width y?", "session_id": 10194, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "x+x+y+y", "session_id": 10194, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "Right, so we have, for our final perimeter, \nRectangle: f(x, y) = 2x + 2y\nCircle 1: g(x) = 2pi(x/2)\nCircle 2: h(y) = 2pi(y/2)", "session_id": 10194, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "Does that make sense?", "session_id": 10194, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "why is it x/2?", "session_id": 10194, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "Because x is the diameter, so we divide x/2 to get the radius", "session_id": 10194, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "okay", "session_id": 10194, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "So now, do you want to try putting it all together for the perimeter of our shape?", "session_id": 10194, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "Hello?", "session_id": 10194, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "The formula for the perimeter will be the sum of our 3 perimeter formulas:\nP = 2x + 2y + 2pi(x/2) + 2pi(y/2)", "session_id": 10194, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "Therefore, given perimeter 5500 this implies y = (5500/(2+pi) ) - x", "session_id": 10194, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "We know the area will be xy + pi/4(x^2 + y^2)", "session_id": 10194, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "Therefore the area of the flowerbeds is...", "session_id": 10194, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "Hello! I need help with my pre algebra homework assignment.", "session_id": 10172, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "Leo! I'll be happy to help you :) You can put the questions on the white board or just tell me the topic", "session_id": 10172, "sequence_id": 1, "annotations": [{"pii_type": "PERSON", "surrogate": "Leo", "start": 0, "end": 3}]}
{"role": "student", "content": "Ok the problem is \u201cA red light blinks every 12 seconds, and a blue light blinks every 9 seconds. When will both lights blink at the same time?\u201d", "session_id": 10172, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "Ok so let me see.. do you have any idea on how you would do this question? It's ok if not :)", "session_id": 10172, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "I dont have an idea on how to solve it", "session_id": 10172, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "I gotchu! Take a look at the white board.", "session_id": 10172, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "So for these types of questions, we have to find the Least common multiple! (LCM) Do you know why we use it?", "session_id": 10172, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "I know how to use it but not sure why we use it", "session_id": 10172, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "Oh ok! I'll try my best to explain it. Give me a second", "session_id": 10172, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "Ok so the first time the red light blinks, is at 12 seconds from the start. The first time the blue light blinks is 9 seconds from the start.", "session_id": 10172, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "Take a look at the white board", "session_id": 10172, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "So at how many seconds from the start will the red light blink again?", "session_id": 10172, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "3 seconds?", "session_id": 10172, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "Sorry for my vague question, so basically after it has blinked after 12 seconds, how many more seconds till it blinks again?", "session_id": 10172, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "(the red light)", "session_id": 10172, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "12 seconds?", "session_id": 10172, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "Great! So from the start, when will the red light blink a second time? (hint: add 12!)", "session_id": 10172, "sequence_id": 16, "annotations": []}
{"role": "student", "content": " 24 seconds?", "session_id": 10172, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "Great! Now can you list from 3-5 blinks from the start?", "session_id": 10172, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "3 seconds would be 36, 4 seconds would be 48 and 5 seconds is 60 I think", "session_id": 10172, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "Wow! Amazing job! Now can you do the same thing we just did for the blue light?", "session_id": 10172, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "3 seconds is 24, 4 seconds is 32 and 5 seconds is 45 ", "session_id": 10172, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "Can you double check your math for the 3 seconds and 4 seconds real quick? Nice guess though", "session_id": 10172, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "3 seconds is 27 and 36? ", "session_id": 10172, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "Yep!", "session_id": 10172, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "I mixed it up with my 8 facts", "session_id": 10172, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "No problem! You're doing great :D", "session_id": 10172, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "Now, when do you think they would they blink together?", "session_id": 10172, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "Ohh! On when red is on 3 seconds and blue is on 4 seconds?", "session_id": 10172, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "Those are just the number of blinks, but you're very close!", "session_id": 10172, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "So the number of blinks is right, but what's the number of seconds it took?", "session_id": 10172, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "36 seconds?", "session_id": 10172, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "YAYYYYYYYYYY", "session_id": 10172, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "That's right!", "session_id": 10172, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "Yay I got it! ", "session_id": 10172, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "Yeah! You're doing awesome so far. Any questions on what we just did?", "session_id": 10172, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "Nope!", "session_id": 10172, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "Alright! Any other questions I can assist you on?", "session_id": 10172, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "Yeah a few here\u2019s one: 10 bananas cost 4.50$. What is the price for one banana?", "session_id": 10172, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "We haven\u2019t learned to divide or multiply fractions yet", "session_id": 10172, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "Oh no problem! Want me to guide you through the basics of how to multiply and divide fractions before we attempt this question?", "session_id": 10172, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "Yes please", "session_id": 10172, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "Ok no problem! I'll start with mulitplication of fractions first. So unlike addition and subtraction, in multiplication you don't need to make the denominators the same. I'll write an example on the white board.", "session_id": 10172, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "Wait in the question it has dividing decimals, did you mean fractions or decimals?", "session_id": 10172, "sequence_id": 43, "annotations": []}
{"role": "student", "content": "My bad I meant decimals", "session_id": 10172, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "We know how to do multiplication and division with fractions", "session_id": 10172, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "Oh that's ok! I'll show you decimals instead then. lol.", "session_id": 10172, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "So lets start of with multiplication of decimals since it's a bit easier than division. So when it comes to multiplying decimals, we just temporarily hide the decimal point then take it into consideration at the end of the actual multiplication.", "session_id": 10172, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "So ignoring the decimal point on the problem i put on the white board can you solve it real quick?", "session_id": 10172, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "Ok", "session_id": 10172, "sequence_id": 49, "annotations": []}
{"role": "student", "content": "Ok is 2585", "session_id": 10172, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "Great job! It is! So now I'll tell you what to do with the decimal point we have.", "session_id": 10172, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "Basically all we have to do is look at where the decimal point is located in each digit from the right for both numbers we're multiplying", "session_id": 10172, "sequence_id": 52, "annotations": []}
{"role": "student", "content": "Ohh it\u2019s 2.585", "session_id": 10172, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "Yeah! Do you understand what I wrote on the white board?", "session_id": 10172, "sequence_id": 54, "annotations": []}
{"role": "student", "content": "Yep! ", "session_id": 10172, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "Great! Would you like to try one on your own?", "session_id": 10172, "sequence_id": 56, "annotations": []}
{"role": "student", "content": "Sure I have to do \u201cIf 20 cookies cost 5$, what is the price of 25 cookies?\u201d", "session_id": 10172, "sequence_id": 57, "annotations": []}
{"role": "student", "content": "Before can you teach me how to divide with decimals", "session_id": 10172, "sequence_id": 58, "annotations": []}
{"role": "student", "content": "I think I need to divide first to see the value of just one cookie", "session_id": 10172, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "Oh ok! No problem. Would you like me to walk through it?", "session_id": 10172, "sequence_id": 60, "annotations": []}
{"role": "student", "content": "Sure", "session_id": 10172, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "Alright, let me clean the white board real quick. Then you can look at what i'm writing", "session_id": 10172, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "So basically, all we know is that 20 cookies cost 5 dollars. Then we have to find out how much 25 cookies would cost.", "session_id": 10172, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "Do you know how we would approach this question to find the cost of a singular cookie?", "session_id": 10172, "sequence_id": 64, "annotations": []}
{"role": "student", "content": "We could try and do 20 divided by 5?", "session_id": 10172, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "hmm close, lets say you have $5 in which you can buy 20 cookies. So would you do 20 divided by 5 (20/5) or 5 divided by 20 (5/20) to find the cost of one cookie?", "session_id": 10172, "sequence_id": 66, "annotations": []}
{"role": "student", "content": "Hmm ", "session_id": 10172, "sequence_id": 67, "annotations": []}
{"role": "student", "content": "5/20 instead maybe", "session_id": 10172, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "Yep! I'll explain why. So basically if we have to find the cost of one cookie, and a whole batch costs 5 dollars, then we will have to see how much each individual cookie costs.", "session_id": 10172, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "And if you did 20/5, which is 4, it wouldn't make sense for one cookie in a 20 batch to cost 4 dollars when the whole thing costs 5.", "session_id": 10172, "sequence_id": 70, "annotations": []}
{"role": "student", "content": "Yeah ", "session_id": 10172, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "Yep! Moving on, once you find the cost of one cookie, how can you find the cost of 25?", "session_id": 10172, "sequence_id": 72, "annotations": []}
{"role": "student", "content": "You can either keep adding the cost of one cookie 5 times or multiply the cost of a cookie 5 times and add that number to the 20 cookies", "session_id": 10172, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "Not exactly, wanna take another guess? Nice try though.", "session_id": 10172, "sequence_id": 74, "annotations": []}
{"role": "volunteer", "content": "Or actually I think you're right I misunderstood what you were saying", "session_id": 10172, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "Are you trying to say that the cost of 20 cookies plus 5 times the cost of one cookie??", "session_id": 10172, "sequence_id": 76, "annotations": []}
{"role": "student", "content": "No ", "session_id": 10172, "sequence_id": 77, "annotations": []}
{"role": "student", "content": "My bad for explaining it vaguely, what I mean is you can keep adding the cost one just one cookie to the batch of 20 cookies 5 times ", "session_id": 10172, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "Yeah! That's right then :) Wanna give the actual question a go?", "session_id": 10172, "sequence_id": 79, "annotations": []}
{"role": "student", "content": "Sure", "session_id": 10172, "sequence_id": 80, "annotations": []}
{"role": "volunteer", "content": "Ok so following the steps you just wrote out, can you do the first one and tell me the cost of one cookie?", "session_id": 10172, "sequence_id": 81, "annotations": []}
{"role": "student", "content": "I\u2019m confused how to divide 5/20", "session_id": 10172, "sequence_id": 82, "annotations": []}
{"role": "volunteer", "content": "Oh right, wanna do it the decimal division method way then? But if not then there's another direct and easier way to do it.", "session_id": 10172, "sequence_id": 83, "annotations": []}
{"role": "student", "content": "I don\u2019t mind which way as long as it gives me the correct answer ", "session_id": 10172, "sequence_id": 84, "annotations": []}
{"role": "volunteer", "content": "Ok i'll tell you the division way then since you needed help in decimal division.", "session_id": 10172, "sequence_id": 85, "annotations": []}
{"role": "volunteer", "content": "so i'll show you how to do 5/20 on the white board", "session_id": 10172, "sequence_id": 86, "annotations": []}
{"role": "volunteer", "content": "So you see how 20 can't go into 5? What we have to do is \"borrow\" a zero by putting a decimal point.", "session_id": 10172, "sequence_id": 87, "annotations": []}
{"role": "student", "content": "Ohh", "session_id": 10172, "sequence_id": 88, "annotations": []}
{"role": "volunteer", "content": "And see how we already have a decimal point but we have a remainder of 10? What we do now is add a zero into the 10 since the decimal point is already there now", "session_id": 10172, "sequence_id": 89, "annotations": []}
{"role": "volunteer", "content": "Does how I solved it make sense to get a decimal?", "session_id": 10172, "sequence_id": 90, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 10172, "sequence_id": 91, "annotations": []}
{"role": "volunteer", "content": "Alright! So what we just found by dividing is the cost of one cookie. 0.25, being 25 cents.", "session_id": 10172, "sequence_id": 92, "annotations": []}
{"role": "volunteer", "content": "Can you do the next step?", "session_id": 10172, "sequence_id": 93, "annotations": []}
{"role": "volunteer", "content": "To find the cost of 25 cookies?", "session_id": 10172, "sequence_id": 94, "annotations": []}
{"role": "student", "content": "Ok let me solve this on paper I\u2019ll be back in a second", "session_id": 10172, "sequence_id": 95, "annotations": []}
{"role": "volunteer", "content": "no problem! Take your time :)", "session_id": 10172, "sequence_id": 96, "annotations": []}
{"role": "student", "content": "Alright here\u2019s what I wrote: If 20 cookies= 5$ and 5 cookies cost 1.25$, then 25 cookies will cost 5+1.25=6.25$", "session_id": 10172, "sequence_id": 97, "annotations": []}
{"role": "student", "content": "25 cookies cost 6.25$ I think ", "session_id": 10172, "sequence_id": 98, "annotations": []}
{"role": "volunteer", "content": "VERY GOOD YAYYYY", "session_id": 10172, "sequence_id": 99, "annotations": []}
{"role": "student", "content": "\ud83e\udd73", "session_id": 10172, "sequence_id": 100, "annotations": []}
{"role": "student", "content": "Yay!!", "session_id": 10172, "sequence_id": 101, "annotations": []}
{"role": "volunteer", "content": "You solved that so well! Though I'm sorry but I have to go right now for an appointment", "session_id": 10172, "sequence_id": 102, "annotations": []}
{"role": "volunteer", "content": "Good job in this session overall :D", "session_id": 10172, "sequence_id": 103, "annotations": []}
{"role": "student", "content": "I have one last question on my homework", "session_id": 10172, "sequence_id": 104, "annotations": []}
{"role": "student", "content": "The problem is \u201c4.5 pounds of potatoes cost 12$, what\u2019s the price of 3 pounds of potatoes?\u201d", "session_id": 10172, "sequence_id": 105, "annotations": []}
{"role": "volunteer", "content": "Ok I think we can get it done quick", "session_id": 10172, "sequence_id": 106, "annotations": []}
{"role": "volunteer", "content": "Oh ok! So in this one, how would find the cost of one pound of potatoes? Any ideas?", "session_id": 10172, "sequence_id": 107, "annotations": []}
{"role": "student", "content": "4.5 / 12", "session_id": 10172, "sequence_id": 108, "annotations": []}
{"role": "volunteer", "content": "Hmm.. close! Try again though :)", "session_id": 10172, "sequence_id": 109, "annotations": []}
{"role": "student", "content": "12 / 4.5 pounds?", "session_id": 10172, "sequence_id": 110, "annotations": []}
{"role": "volunteer", "content": "Yep! Total cost over total weight. :) Next, we would have to find the cost of three pounds. What will be do?", "session_id": 10172, "sequence_id": 111, "annotations": []}
{"role": "volunteer", "content": "we*", "session_id": 10172, "sequence_id": 112, "annotations": []}
{"role": "student", "content": "We need to find the cost of one pound of potatoes then find the cost of 3 pounds", "session_id": 10172, "sequence_id": 113, "annotations": []}
{"role": "volunteer", "content": "Yep! By multiplying. Wanna give the first step, 12/4.5, a try?", "session_id": 10172, "sequence_id": 114, "annotations": []}
{"role": "student", "content": "Ok I\u2019ll try", "session_id": 10172, "sequence_id": 115, "annotations": []}
{"role": "volunteer", "content": "Oh by the way for this questions it's a bit different since 4.5 is the decimal which is outside being the divisor", "session_id": 10172, "sequence_id": 116, "annotations": []}
{"role": "volunteer", "content": "Do you need help with that?", "session_id": 10172, "sequence_id": 117, "annotations": []}
{"role": "student", "content": "I got my answer for one I\u2019m not sure if it\u2019s correct what I got was 0.3", "session_id": 10172, "sequence_id": 118, "annotations": []}
{"role": "student", "content": "I\u2019ll show you my work on the whiteboard", "session_id": 10172, "sequence_id": 119, "annotations": []}
{"role": "volunteer", "content": "Ok!", "session_id": 10172, "sequence_id": 120, "annotations": []}
{"role": "student", "content": "Oh wait I wrote it wrong ", "session_id": 10172, "sequence_id": 121, "annotations": []}
{"role": "student", "content": "I wrote it as 12 / 4.5", "session_id": 10172, "sequence_id": 122, "annotations": []}
{"role": "volunteer", "content": "No problem! Shall I show you how to solve this one since it's different?", "session_id": 10172, "sequence_id": 123, "annotations": []}
{"role": "student", "content": "Ok sure", "session_id": 10172, "sequence_id": 124, "annotations": []}
{"role": "volunteer", "content": "When we remove the decimal from the denominator (4.5), we add a zero after the numerator's value (12)", "session_id": 10172, "sequence_id": 125, "annotations": []}
{"role": "volunteer", "content": "So can you divide it now?", "session_id": 10172, "sequence_id": 126, "annotations": []}
{"role": "volunteer", "content": "Basically all I did was multiply both the numerator and denominator to remove the decimal point", "session_id": 10172, "sequence_id": 127, "annotations": []}
{"role": "student", "content": "Ok let me do this on paper, brb", "session_id": 10172, "sequence_id": 128, "annotations": []}
{"role": "volunteer", "content": "Hey Chloe? I have to go now, but basically the answer to this part is a repeating decimal (neverending) being 2.66666... so we would round that to the nearest hundredth before multiplying it with three but I have to leave for my appointment now! Sorry!", "session_id": 10172, "sequence_id": 129, "annotations": [{"pii_type": "PERSON", "surrogate": "Chloe", "start": 4, "end": 9}]}
{"role": "student", "content": "Oh ok thank you!", "session_id": 10172, "sequence_id": 130, "annotations": []}
{"role": "volunteer", "content": "Yeah no problem! You were amazing!", "session_id": 10172, "sequence_id": 131, "annotations": []}
{"role": "student", "content": "Thanks for your help, I appreciate it", "session_id": 10172, "sequence_id": 132, "annotations": []}
{"role": "student", "content": "Hi I'm new I'm just learning about this new platform", "session_id": 10220, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "Do u have any questions?", "session_id": 10220, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "I can use this platform anytime?", "session_id": 10220, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "Ya", "session_id": 10220, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "ok thanks", "session_id": 10220, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "your name is Priya?", "session_id": 10220, "sequence_id": 5, "annotations": [{"pii_type": "PERSON", "surrogate": "Priya", "start": 13, "end": 18}]}
{"role": "volunteer", "content": "Yes", "session_id": 10220, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "where are you from", "session_id": 10220, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "We r not rlly supposed to disclose personal infos like this", "session_id": 10220, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "Do u have any questions related to the platform", "session_id": 10220, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "yes", "session_id": 10220, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "am I allowed to change topics like switch from math to English with the same tutor", "session_id": 10220, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "Ya but only if the tutor is available at that time of your request", "session_id": 10220, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "How old are you", "session_id": 10220, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "Like i said, we r not supposed to disclose personal infos like this", "session_id": 10220, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "Im sorry I made you mad", "session_id": 10220, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "No no im not mad. Its ok", "session_id": 10220, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "my questions are done though if you want to leave", "session_id": 10220, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "Take your time to get used to the platform", "session_id": 10220, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "Bye then", "session_id": 10220, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "ok ty", "session_id": 10220, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "bye", "session_id": 10220, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "Hello", "session_id": 10270, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "Hey", "session_id": 10270, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "How are you today", "session_id": 10270, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "I am tired. I just got back working a football game for sports medicine", "session_id": 10270, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "I can't see the picture that well because it is so small", "session_id": 10270, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "Is that better", "session_id": 10270, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 10270, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "what do you think", "session_id": 10270, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "the answer is", "session_id": 10270, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "I think E", "session_id": 10270, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "but I don't know why", "session_id": 10270, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "I thought so too and I believe that is right", "session_id": 10270, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "I have to go I am so sorry", "session_id": 10270, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "hi", "session_id": 10318, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "Hello :)", "session_id": 10318, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "How can I help?", "session_id": 10318, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "Alright, so how would you start this problem?", "session_id": 10318, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "You still here?", "session_id": 10318, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "divide to find the quotient and remainder", "session_id": 10318, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "Alright, so how would you start?", "session_id": 10318, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "Which part is giving you trouble?", "session_id": 10318, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "both parts", "session_id": 10318, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "I see, do you remember what the remainder theorem says?", "session_id": 10318, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "no", "session_id": 10318, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "It essentially says when divinding a polynomial by x-c", "session_id": 10318, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "The remainder of that division will be c", "session_id": 10318, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "so the remainder of say P(x) when divided by x-c", "session_id": 10318, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "would be P(c)", "session_id": 10318, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "Does that make sense?", "session_id": 10318, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "yes", "session_id": 10318, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "Great, so how could we apply that here?", "session_id": 10318, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "It also looks like the site you're on hyper links to a definition of the remainder theorem, and I'm sure they were able to put it in better terms than i was", "session_id": 10318, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "I'm sorry it seems like we're having trouble connecting, feel free to make another session", "session_id": 10318, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "Howdy !", "session_id": 10459, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "hii", "session_id": 10459, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "can you help  me with a specfic question", "session_id": 10459, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "So you've got a juicy math problem to work on?", "session_id": 10459, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "yes lol", "session_id": 10459, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "Yep, I'll try my best !!!", "session_id": 10459, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "use the equation of the best fitting line to approximate the value of y for x=3 the points are (0,0.2),(1,2.3)(2,3.9)(4,7.5)(9.8)", "session_id": 10459, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "So this is a statistics question, not an algebra one.", "session_id": 10459, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "oh thats weird its on my math homework", "session_id": 10459, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "Yeah, right !", "session_id": 10459, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "So the idea here is that you use those points to construct a line (best fit).", "session_id": 10459, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "That line will be given in the form y = mx + b typically where m = slope and b = y intercept.", "session_id": 10459, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "Then you'll plug in 3 for x and see the resulting y value which is what (I think) they are asking for.", "session_id": 10459, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "yeah i think so so i plot them on a scater plot and draw a line and try to get the equation out of it?", "session_id": 10459, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "You can do it that way (the old \"eyeball method\").", "session_id": 10459, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "yeah loll", "session_id": 10459, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "More recent techniques would be some TECHNOLOGY which is how I got the answer that I wrote on the whiteboard.", "session_id": 10459, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": ":-)", "session_id": 10459, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "yeah true loll", "session_id": 10459, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "ohh the way you showed me is easier", "session_id": 10459, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": ":-)", "session_id": 10459, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "thank youuu", "session_id": 10459, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "I just copied the text you typed into GROK and got that answer.", "session_id": 10459, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "Easy peasy.", "session_id": 10459, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "Is that it?", "session_id": 10459, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "yeah loll it is thank youu", "session_id": 10459, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "Great - best of luck to you and take care !!!", "session_id": 10459, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "Hi Alex! How can I help you today?", "session_id": 10406, "sequence_id": 0, "annotations": [{"pii_type": "PERSON", "surrogate": "Alex", "start": 3, "end": 7}]}
{"role": "student", "content": "Hi, I need help with a my project from my statistics class", "session_id": 10406, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "Sure, do you have a picture of the assignment or can you describe what the project is about?", "session_id": 10406, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "Yes I have a picture", "session_id": 10406, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "Great! Can you upload it onto the whiteboard?", "session_id": 10406, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "Can you see it", "session_id": 10406, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "Sorry not exactly, let me try again", "session_id": 10406, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "Okay", "session_id": 10406, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "Maybe we can try another way, can you share a link that I can use to access the image maybe?", "session_id": 10406, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "I can't copy the link, it doesn't let me.", "session_id": 10406, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "Would you mind trying again? If it's a google doc link or something hopefully it should be okay", "session_id": 10406, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "https://docs.google.com/document/d/1a2b3c4d5e6f7g8h9i0j/edit?usp=sharing", "session_id": 10406, "sequence_id": 11, "annotations": [{"pii_type": "URL", "surrogate": "https://docs.google.com/document/d/1a2b3c4d5e6f7g8h9i0j/edit?usp=sharing", "start": 0, "end": 72}]}
{"role": "volunteer", "content": "I was looking at this", "session_id": 10406, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "It's a Google Doc, but it says it's not available to copy  the link.", "session_id": 10406, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "just to confirm is Google Docs not allowing you to copy the link from there or is the Tutor Provider app not allowing you to paste it in?", "session_id": 10406, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "Google Docs", "session_id": 10406, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "hmm I see it's going to be a bit hard to diagnose but if not possible maybe can you describe what the assignment is about?", "session_id": 10406, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "maybe we can talk more generally and you can try sharing the link again in the meantime", "session_id": 10406, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "https://docs.google.com/spreadsheets/d/k1l2m3n4o5p6q7r8s9t0/edit?usp=sharing", "session_id": 10406, "sequence_id": 18, "annotations": [{"pii_type": "URL", "surrogate": "https://docs.google.com/spreadsheets/d/k1l2m3n4o5p6q7r8s9t0/edit?usp=sharing", "start": 0, "end": 76}]}
{"role": "student", "content": "I was able to copy the link now.", "session_id": 10406, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "ah okay let me see if I can get in", "session_id": 10406, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "yeah so seems like I don't have the login, can you try taking a screenshot of the file, pasting it into a new google doc, and share the link to that google doc please?", "session_id": 10406, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "sorry I know this is inconvenient", "session_id": 10406, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "Okay", "session_id": 10406, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "no problem", "session_id": 10406, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "thank you! please make sure to set the google doc to be \u201cAnyone with the link \u2014 Viewer\u201d as well", "session_id": 10406, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "https://docs.google.com/presentation/d/u1v2w3x4y5z6a7b8c9d0/edit?usp=sharing", "session_id": 10406, "sequence_id": 26, "annotations": [{"pii_type": "URL", "surrogate": "https://docs.google.com/presentation/d/u1v2w3x4y5z6a7b8c9d0/edit?usp=sharing", "start": 0, "end": 76}]}
{"role": "volunteer", "content": "thank you! sorry I think its still a sharepoint link so I wont have access unfortunately, maybe you could also copy and paste the contents of the assignment into the chatbox?", "session_id": 10406, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "The goal of this DBA is to assess your understanding of Sampling Distributions, your ability to explain concepts clearly, and your ability to apply statistical reasoning to real-world examples.\nInstructions\n1. Choose two of the discussions prompts below.\n2. Record a 3-5-minute video or audio response\nOR write a detailed 300 400-word response. Make sure that you identify which prompts you are answering.\n3. Be sure to:\n- Define key terms in your own words\n- Provide examples (real or hypothetical)\n- Explain why your example connects to Sampling Distributions\n- Demonstrate reasoning with correct statistical language\nDiscussion Prompts (Choose TWO)\n1. Explain the difference between a population distribution, a sample distribution, and a sampling distribution. Provide a real-world example of each.\n2. A company claims that their new battery lasts an average of 12 hours. Design a scenario where you would use sampling distributions to test this claim.\nExplain what conclusions you might draw.\n3. How does the Central Limit Theorem support the use of sampling distributions in statistics? Give an example of how this might be applied in a real-world situation (e.g., sports, medicine, education).\n4. Suppose you are comparing two brands of cereal for the average amount of sugar per serving. How would sampling distributions help you make an informed comparison?\n5. Discuss why larger sample sizes generally lead to more reliable estimates in sampling distributions.\nSupport your reasoning with examples.", "session_id": 10406, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "okay thank you! so I just took a look, do you know which 2 discussion prompts you will be choosing?", "session_id": 10406, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "No yet I don\u2019t know which one to choose", "session_id": 10406, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "got it, so I would recommend choosing ones that you feel like you are most familiar with or have some ideas already about how to answer", "session_id": 10406, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "is this the case for any of the prompts for you?", "session_id": 10406, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "I think number 1 and 4", "session_id": 10406, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "great! let's take a look at these first, we can always revisit if you change your mind", "session_id": 10406, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "Okay", "session_id": 10406, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "let's begin with 1, do any of the terms population distribution / sample distribution / sampling distribution ring a bell to you?", "session_id": 10406, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "and if you don't mind, can you tell me what you think of when you hear these terms?", "session_id": 10406, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "Population distribution shows how a characteristic is spread among everyone in a group and Sample distribution shows how that same characteristic is spread within just one small group taken from the population Sampling distribution shows how a statistic (like the average) from many different samples is spread.", "session_id": 10406, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "yeah, I think you did a really great job there! liked how you described the population and sample distributions", "session_id": 10406, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "for the sampling distribution you are quite right, I would maybe edit a little to make it more clear", "session_id": 10406, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "Okay", "session_id": 10406, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "for sampling distributions, it's true that it shows how a statistic is spread, i'd just clarify that from each sample we would get a value for the statistic, and the sampling distribution shows the spread of all values of that statistic across all samples basically", "session_id": 10406, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "like, think about the average right? for every sample you can get an average of that sample, and if we spread all the sample averages out we get a sampling distribution of the average", "session_id": 10406, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "does that make sense?", "session_id": 10406, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 10406, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "okay perfect! so you did very well in 1, we can move on to 4 if you don't have any further questions?", "session_id": 10406, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "We can move on to 4", "session_id": 10406, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "ok great! so for 4 can you give me what your first attempt looks like?", "session_id": 10406, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "Sampling distributions show how sample averages vary to tell if difference in cereal sugar is real or by chance.", "session_id": 10406, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "i think you have the right idea to start with! lets try to make this more specific", "session_id": 10406, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "so say we have a situation where i have 2 brands of cereal A and B", "session_id": 10406, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "and i've got samples of cereals for each brand", "session_id": 10406, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "how would you be able to tell if there's a real difference in the average amount of sugar between the two brands?", "session_id": 10406, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "and definitely we should be using sampling distributions here", "session_id": 10406, "sequence_id": 54, "annotations": []}
{"role": "student", "content": "use sampling distributions to see if the sample means differ more than expected by chance.", "session_id": 10406, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "great work! yes, the use of sampling distributions here is that we'll take the difference we observed, and compare it against the sampling distribution to see if what we got is much different from what is observed", "session_id": 10406, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "theres one thing maybe we could make clearer", "session_id": 10406, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "we both mentioned \"the sampling distribution\" but we should be more careful to specify \"the sampling distribution (of what statistic?)\"", "session_id": 10406, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "earlier when you mentioned the definition of sampling distribution you (correctly) explained that the sampling distribution is the spread of a statistic", "session_id": 10406, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "so in this case, my question is, you will need to look into the sampling distribution of what statistic?", "session_id": 10406, "sequence_id": 60, "annotations": []}
{"role": "student", "content": "Like the difference between the two sample means.", "session_id": 10406, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "yup there we go! awesome work", "session_id": 10406, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "after you piece everything together, I think you have all you need to answer the questions", "session_id": 10406, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "do you have any further questions for me?", "session_id": 10406, "sequence_id": 64, "annotations": []}
{"role": "student", "content": "no", "session_id": 10406, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "ok perfect, well thanks for bearing with me- I hope this was helpful! good luck with your project", "session_id": 10406, "sequence_id": 66, "annotations": []}
{"role": "student", "content": "Thank you", "session_id": 10406, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "of course! glad to help. good night!", "session_id": 10406, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "Hello!", "session_id": 10438, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "Hi Give me a sec I will put the question on the board", "session_id": 10438, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "Okay, no problem", "session_id": 10438, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "sorry for taking so long my computer is super slow", "session_id": 10438, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "It\u2019s alright I am going to take a break for a bit like 3 minutes and come back", "session_id": 10438, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "okay", "session_id": 10438, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "I\u2019m back", "session_id": 10438, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "Hi it's almost done loading my study guide computer version", "session_id": 10438, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "You can also type out any questions or write and that\u2019s okay!", "session_id": 10438, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "school computers are slow sorry", "session_id": 10438, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "I can't access the study guide so... rn", "session_id": 10438, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "I know mines like that too lol!", "session_id": 10438, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "Do you want to try writing it out or want to just wait until it loads", "session_id": 10438, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "I didn't memorize the question ..", "session_id": 10438, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "Oh that\u2019s perfectly fine what topic is it on? Linear equations?", "session_id": 10438, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "no expressions", "session_id": 10438, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "Okay", "session_id": 10438, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "Like simplifying them?", "session_id": 10438, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "yeah and word problems", "session_id": 10438, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "oh wait it completed now I can see the questions", "session_id": 10438, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "yay", "session_id": 10438, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "Great that\u2019s amazing !", "session_id": 10438, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "so we are not doing the entire thing", "session_id": 10438, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "it's going to be waste of time because I only have like 1 hour and 30 minutes and the study guide has things that will take more time if you know what I mean", "session_id": 10438, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "just pick the hardest ones", "session_id": 10438, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "Yeah I understand and thank you for telling me that", "session_id": 10438, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "than the easiest ones are going to be easier than", "session_id": 10438, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "yw", "session_id": 10438, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "We should work on problems 4,9,10", "session_id": 10438, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "I\u2019m going to write each problem out and show you how to solve them", "session_id": 10438, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "okay sounds good", "session_id": 10438, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "First thing we want to do when we see parentheses like ( ), is to distribute by multiplying the number that\u2019s outside of it", "session_id": 10438, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "So 5*2p + 5*4", "session_id": 10438, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "Now notice that after we distributed we still have like terms (meaning we still have to simplify by adding or subtracting the same numbers", "session_id": 10438, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "Try to simplify the new expression", "session_id": 10438, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "Or I can simplify if it\u2019s time consuming", "session_id": 10438, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "I don't know if this is right but let me try", "session_id": 10438, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "It\u2019s alright we will work through it and see", "session_id": 10438, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "Yes!", "session_id": 10438, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "Now that\u2019s our final answer", "session_id": 10438, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "Ok let\u2019s do 9 now", "session_id": 10438, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "k!", "session_id": 10438, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "Notice how there\u2019s two parentheses which means we\u2019re going to have to distribute two times", "session_id": 10438, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "So let\u2019s start with -3", "session_id": 10438, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "Now always be careful when you multiply notice how I got 12 because I multiplied two negatives which gives a positive", "session_id": 10438, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "But when multiplying a positive with a negative you will always get a negative", "session_id": 10438, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "Now all we have to do is add and combine like terms", "session_id": 10438, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "Our final expression is -64+4s", "session_id": 10438, "sequence_id": 47, "annotations": []}
{"role": "student", "content": "Ok let me just finish writing it", "session_id": 10438, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "Alright", "session_id": 10438, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "Let me know when you want to work on number 10", "session_id": 10438, "sequence_id": 50, "annotations": []}
{"role": "student", "content": "wait can it also be 4s+-68?", "session_id": 10438, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "Yes it can also be that the order doesn\u2019t matter", "session_id": 10438, "sequence_id": 52, "annotations": []}
{"role": "student", "content": "wait I mean 4s-68", "session_id": 10438, "sequence_id": 53, "annotations": []}
{"role": "student", "content": "oh ok", "session_id": 10438, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "Yes either of those", "session_id": 10438, "sequence_id": 55, "annotations": []}
{"role": "student", "content": "ok next question 10", "session_id": 10438, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "However it cannot be 4s\u201468 because when you subtract a negative it equals a positive just like multiplication 4s\u201468 gives 4s+68", "session_id": 10438, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "Okay let\u2019s do this!", "session_id": 10438, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "First let\u2019s distribute, one important thing to know is that when we\u2019re subtracting it can be viewed as a negative number like for example we will distribute -4", "session_id": 10438, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "Now try to combine the like terms", "session_id": 10438, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "Wow! I\u2019m proud of you. You did a great job", "session_id": 10438, "sequence_id": 61, "annotations": []}
{"role": "student", "content": "Okay next part is the part that we actually solve not just simplify", "session_id": 10438, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "Okay", "session_id": 10438, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "Want me to erase this?", "session_id": 10438, "sequence_id": 64, "annotations": []}
{"role": "student", "content": "yes", "session_id": 10438, "sequence_id": 65, "annotations": []}
{"role": "student", "content": "okay so for this one the hardest two questions", "session_id": 10438, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "Which problems specifically? The hardest ones", "session_id": 10438, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "Ok", "session_id": 10438, "sequence_id": 68, "annotations": []}
{"role": "student", "content": "because  these are honestly easy but sometimes they are hard the word problems will take too much time already", "session_id": 10438, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "Yes I agree especially when problems like these it\u2019s so easy to make one mistake that affects the whole answer", "session_id": 10438, "sequence_id": 70, "annotations": []}
{"role": "student", "content": "yes", "session_id": 10438, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "I think 5 and 10 and maybe 7 mostly because it deals with a fraction", "session_id": 10438, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "But we can do 5 and 10", "session_id": 10438, "sequence_id": 73, "annotations": []}
{"role": "student", "content": "yeah that sounds good", "session_id": 10438, "sequence_id": 74, "annotations": []}
{"role": "student", "content": "I thought those were the hardest ones too", "session_id": 10438, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "Haha I could just tell looking at them", "session_id": 10438, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "It\u2019s a lot of multiplying", "session_id": 10438, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "The first thing we should do though is remember the principals of multiplication", "session_id": 10438, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "Negative X Negative = POSITIVE, Positive X Negative = NEGATIVE,", "session_id": 10438, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "Positive X Positive = POSITIVE", "session_id": 10438, "sequence_id": 80, "annotations": []}
{"role": "volunteer", "content": "So now that we know that let\u2019s start with distributing the five", "session_id": 10438, "sequence_id": 81, "annotations": []}
{"role": "volunteer", "content": "And now the -4", "session_id": 10438, "sequence_id": 82, "annotations": []}
{"role": "volunteer", "content": "Now we combine like terms as usual", "session_id": 10438, "sequence_id": 83, "annotations": []}
{"role": "volunteer", "content": "Now after we combined it notice how it\u2019s not an expression and it\u2019s an equation meaning that it\u2019s equal to something", "session_id": 10438, "sequence_id": 84, "annotations": []}
{"role": "volunteer", "content": "That\u2019s when we use algebra", "session_id": 10438, "sequence_id": 85, "annotations": []}
{"role": "student", "content": "wait did you meant to write 12?", "session_id": 10438, "sequence_id": 86, "annotations": []}
{"role": "volunteer", "content": "Instead of -12?", "session_id": 10438, "sequence_id": 87, "annotations": []}
{"role": "student", "content": "no you forgot the one", "session_id": 10438, "sequence_id": 88, "annotations": []}
{"role": "student", "content": "sorry yes it''s negative", "session_id": 10438, "sequence_id": 89, "annotations": []}
{"role": "volunteer", "content": "It\u2019s fine I make mistakes sometimes so ty for pointing it out", "session_id": 10438, "sequence_id": 90, "annotations": []}
{"role": "volunteer", "content": "Okay so now our goal is to get x on one side", "session_id": 10438, "sequence_id": 91, "annotations": []}
{"role": "volunteer", "content": "So we have to do the inverse operation of subtraction since we have -17 by adding 17 on both side to get 46x by itseld", "session_id": 10438, "sequence_id": 92, "annotations": []}
{"role": "volunteer", "content": "Now what would you do at this step", "session_id": 10438, "sequence_id": 93, "annotations": []}
{"role": "volunteer", "content": "To get x by itself", "session_id": 10438, "sequence_id": 94, "annotations": []}
{"role": "volunteer", "content": "Yes, the best thing to do is to divide y 46 on both sides because the goal is to get x by making it 1 instead of subtracting it", "session_id": 10438, "sequence_id": 95, "annotations": []}
{"role": "volunteer", "content": "Amazing!", "session_id": 10438, "sequence_id": 96, "annotations": []}
{"role": "volunteer", "content": "Let\u2019s do 10 now", "session_id": 10438, "sequence_id": 97, "annotations": []}
{"role": "volunteer", "content": "Ok so let\u2019s look at our denominator (the bottom part of the fraction)", "session_id": 10438, "sequence_id": 98, "annotations": []}
{"role": "student", "content": "this part is easy", "session_id": 10438, "sequence_id": 99, "annotations": []}
{"role": "volunteer", "content": "Okay try it out", "session_id": 10438, "sequence_id": 100, "annotations": []}
{"role": "volunteer", "content": "Yesss", "session_id": 10438, "sequence_id": 101, "annotations": []}
{"role": "volunteer", "content": "Yay! You did that!", "session_id": 10438, "sequence_id": 102, "annotations": []}
{"role": "student", "content": "yay okay next question is going to take a lot of time let me post it", "session_id": 10438, "sequence_id": 103, "annotations": []}
{"role": "volunteer", "content": "Okay", "session_id": 10438, "sequence_id": 104, "annotations": []}
{"role": "student", "content": "Hope not though lol'", "session_id": 10438, "sequence_id": 105, "annotations": []}
{"role": "volunteer", "content": "How many problems are left just for time checking", "session_id": 10438, "sequence_id": 106, "annotations": []}
{"role": "student", "content": "3?", "session_id": 10438, "sequence_id": 107, "annotations": []}
{"role": "volunteer", "content": "Okay", "session_id": 10438, "sequence_id": 108, "annotations": []}
{"role": "volunteer", "content": "Ohh the property statements right?", "session_id": 10438, "sequence_id": 109, "annotations": []}
{"role": "volunteer", "content": "Can you make the third one a little bigger", "session_id": 10438, "sequence_id": 110, "annotations": []}
{"role": "student", "content": "sorry my computers lagging a bit", "session_id": 10438, "sequence_id": 111, "annotations": []}
{"role": "student", "content": "oh wait it's better now", "session_id": 10438, "sequence_id": 112, "annotations": []}
{"role": "student", "content": "let's start", "session_id": 10438, "sequence_id": 113, "annotations": []}
{"role": "student", "content": "with the third question first", "session_id": 10438, "sequence_id": 114, "annotations": []}
{"role": "volunteer", "content": "I\u2019m not too good on properties but I would probably go by using distributive, multiplicative inverse (division) multiplicative identity, addition property and subtraction", "session_id": 10438, "sequence_id": 115, "annotations": []}
{"role": "volunteer", "content": "Ok I\u2019ll try I\u2019m not the best at word problems", "session_id": 10438, "sequence_id": 116, "annotations": []}
{"role": "volunteer", "content": "Ok I\u2019m going to write the first out", "session_id": 10438, "sequence_id": 117, "annotations": []}
{"role": "student", "content": "k", "session_id": 10438, "sequence_id": 118, "annotations": []}
{"role": "volunteer", "content": "Let\u2019s assign variables", "session_id": 10438, "sequence_id": 119, "annotations": []}
{"role": "student", "content": "oh wait umm sorry I have to go ............. sorry.....", "session_id": 10438, "sequence_id": 120, "annotations": []}
{"role": "volunteer", "content": "it\u2019s okay", "session_id": 10438, "sequence_id": 121, "annotations": []}
{"role": "volunteer", "content": "You got this and you did great", "session_id": 10438, "sequence_id": 122, "annotations": []}
{"role": "student", "content": "thank you and thank you for the help", "session_id": 10438, "sequence_id": 123, "annotations": []}
{"role": "student", "content": "gn or gm", "session_id": 10438, "sequence_id": 124, "annotations": []}
{"role": "student", "content": "lol", "session_id": 10438, "sequence_id": 125, "annotations": []}
{"role": "volunteer", "content": "Good night and have a great day or night also!", "session_id": 10438, "sequence_id": 126, "annotations": []}
{"role": "student", "content": "bye", "session_id": 10438, "sequence_id": 127, "annotations": []}
{"role": "student", "content": "thank you!", "session_id": 10438, "sequence_id": 128, "annotations": []}
{"role": "volunteer", "content": "New York!!!", "session_id": 10438, "sequence_id": 129, "annotations": [{"pii_type": "LOCATION", "surrogate": "New York", "start": 0, "end": 8}]}
{"role": "volunteer", "content": "hello", "session_id": 10442, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "Hello!", "session_id": 10442, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "Could I get some help on these questions? I\u2019m not sure what they are asking me to do.", "session_id": 10442, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "For 11, they just want you to plug in -8 for x in f(x)", "session_id": 10442, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "Do you know what I mean?", "session_id": 10442, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "Yeah I get that", "session_id": 10442, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "For the rest of the questions would it be the same?", "session_id": 10442, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "some are like that but not all.", "session_id": 10442, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "16 is different", "session_id": 10442, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "for 16 they want you to set f(x) =-7 an then solve for x", "session_id": 10442, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "Ohh like a normal equation?", "session_id": 10442, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "like I wrote", "session_id": 10442, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "17 is an absolute value equation so that is a bit differenet", "session_id": 10442, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "Ah I see", "session_id": 10442, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "Would I have to make 2 equations for 17?", "session_id": 10442, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 10442, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "Since it absolute value?", "session_id": 10442, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "That makes sense", "session_id": 10442, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "And for 18 I\u2019m solving for c?", "session_id": 10442, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "No, you are just plugging in the expression -8c+2 for x and then simplifying.  Same goes for 19", "session_id": 10442, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "Ohhh okay I understand", "session_id": 10442, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "I have a question about 15 though, how would I plug that in exactly?", "session_id": 10442, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "any questions about that?", "session_id": 10442, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "Nope that made much more sense to me", "session_id": 10442, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "Sorry one last thing about 19 just how would I simply start that equation", "session_id": 10442, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "for the notation g(x), whatever is in the little () next to the g gets plugged in for x in the expression.", "session_id": 10442, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "so g(y-8) means \" plug in the expression y-8 for x wherever you see an x", "session_id": 10442, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "Ah I see", "session_id": 10442, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "are you all set now?", "session_id": 10442, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "Yup, thank you!", "session_id": 10442, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "Have a lovely day", "session_id": 10442, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "You are very welcome", "session_id": 10442, "sequence_id": 31, "annotations": []}
{"role": "student", "content": ":)", "session_id": 10442, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "Hi!!!!!1", "session_id": 10482, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "oh hi", "session_id": 10482, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "nice to Atlanta", "session_id": 10482, "sequence_id": 2, "annotations": [{"pii_type": "LOCATION", "surrogate": "Atlanta", "start": 8, "end": 15}]}
{"role": "volunteer", "content": ":D", "session_id": 10482, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "Hi, it's nice to meet you too.", "session_id": 10482, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": ":)", "session_id": 10482, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "how can i help u", "session_id": 10482, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "uhh math", "session_id": 10482, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "srry", "session_id": 10482, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": ":D", "session_id": 10482, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "What kind of questions?:D", "session_id": 10482, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "are you a guy", "session_id": 10482, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "ohhhh srry", "session_id": 10482, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "?absolutely yes", "session_id": 10482, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "im not a robot", "session_id": 10482, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "I know", "session_id": 10482, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "wait can you turn your mic on or no?", "session_id": 10482, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "wait let me put on my head phone first", "session_id": 10482, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "Hi, hi, hi, can you hear me?", "session_id": 10482, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "Uh, yeah.", "session_id": 10482, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "OK, OK, OK", "session_id": 10482, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "Wait, so you're a guy or a girl?", "session_id": 10482, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "OK", "session_id": 10482, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "Uh, I'm a girl, yeah. I think you're asking if I'm a real human or a robot. It's like.", "session_id": 10482, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "No, I, I know you're a human because a lot of people say that they're not robots and I always think they're robots or something, but I know you're not one.", "session_id": 10482, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "Oh", "session_id": 10482, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "yeah, yeah, yeah. I'Riverdale High, high school student.", "session_id": 10482, "sequence_id": 26, "annotations": [{"pii_type": "SCHOOL", "surrogate": "Riverdale High", "start": 20, "end": 34}]}
{"role": "student", "content": "Yeah.", "session_id": 10482, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "Well, it's nice to meet you.", "session_id": 10482, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "Oh, nice to meet you too", "session_id": 10482, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "OK", "session_id": 10482, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "So,", "session_id": 10482, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "uh", "session_id": 10482, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "OK", "session_id": 10482, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "how can I help you? So you have a specific question. Can I see that?", "session_id": 10482, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "Um, yeah.", "session_id": 10482, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "Uh, uh, so the question is", "session_id": 10482, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "I think you take a picture.", "session_id": 10482, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "I, wait, hold on, um.", "session_id": 10482, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "uh, oh yeah, I can, um.", "session_id": 10482, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "Mm", "session_id": 10482, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "No.", "session_id": 10482, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "Ah", "session_id": 10482, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "ah", "session_id": 10482, "sequence_id": 43, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 10482, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "Bella be quiet.", "session_id": 10482, "sequence_id": 45, "annotations": [{"pii_type": "PERSON", "surrogate": "Bella", "start": 0, "end": 5}]}
{"role": "student", "content": "Sorry, my mother, my baby sister is talking in the background.", "session_id": 10482, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "Oh, she's so cute", "session_id": 10482, "sequence_id": 47, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 10482, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "she, she's really sweet, but sometimes it can be, um, you know, a bit annoying.", "session_id": 10482, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "So, this one, so you see there's uh", "session_id": 10482, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "1/2, so the", "session_id": 10482, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "uh like the", "session_id": 10482, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "denominator is different. So you should change it. It should like", "session_id": 10482, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "you can change it into like 3/6", "session_id": 10482, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "Can you understand that", "session_id": 10482, "sequence_id": 55, "annotations": []}
{"role": "student", "content": "Oh, yeah. Uh", "session_id": 10482, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "So you can subtract this. So it's 5 minus 3. It's like 2/6.", "session_id": 10482, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "and you can divide it by 3, it's 1, no, there are about 2, so it's 1/3.", "session_id": 10482, "sequence_id": 58, "annotations": []}
{"role": "student", "content": "Mm, OK.", "session_id": 10482, "sequence_id": 59, "annotations": []}
{"role": "student", "content": "Hey.", "session_id": 10482, "sequence_id": 60, "annotations": []}
{"role": "student", "content": "that", "session_id": 10482, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "Oh", "session_id": 10482, "sequence_id": 62, "annotations": []}
{"role": "student", "content": "Sorry.", "session_id": 10482, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "OK, that's OK.", "session_id": 10482, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "That's like that. It just changes into the same denominator, and you can do like", "session_id": 10482, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "like addition or subtraction.", "session_id": 10482, "sequence_id": 66, "annotations": []}
{"role": "student", "content": "Yeah, I'm pretty sure.", "session_id": 10482, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "OK, OK", "session_id": 10482, "sequence_id": 68, "annotations": []}
{"role": "student", "content": "you", "session_id": 10482, "sequence_id": 69, "annotations": []}
{"role": "student", "content": "Oh my god, I'm so sorry.", "session_id": 10482, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "That's OK", "session_id": 10482, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "It's so fun", "session_id": 10482, "sequence_id": 72, "annotations": []}
{"role": "student", "content": "was", "session_id": 10482, "sequence_id": 73, "annotations": []}
{"role": "student", "content": "you.", "session_id": 10482, "sequence_id": 74, "annotations": []}
{"role": "student", "content": "I wear my", "session_id": 10482, "sequence_id": 75, "annotations": []}
{"role": "student", "content": "it no", "session_id": 10482, "sequence_id": 76, "annotations": []}
{"role": "student", "content": "but please sang earlier at school.", "session_id": 10482, "sequence_id": 77, "annotations": []}
{"role": "student", "content": "Oh my God, oh my God.", "session_id": 10482, "sequence_id": 78, "annotations": []}
{"role": "student", "content": "I", "session_id": 10482, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "Oh, that was so much. She's so cute.", "session_id": 10482, "sequence_id": 80, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 10482, "sequence_id": 81, "annotations": []}
{"role": "student", "content": "Oh my", "session_id": 10482, "sequence_id": 82, "annotations": []}
{"role": "student", "content": "Oh my God.", "session_id": 10482, "sequence_id": 83, "annotations": []}
{"role": "student", "content": "Bella, you wanna talk to the nice lady? You want to talk to me nicely. Come here.", "session_id": 10482, "sequence_id": 84, "annotations": [{"pii_type": "PERSON", "surrogate": "Bella", "start": 0, "end": 5}]}
{"role": "student", "content": "Um, hold on, um, my sister used to go to the bathroom and she can talk to you after.", "session_id": 10482, "sequence_id": 85, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 10482, "sequence_id": 86, "annotations": []}
{"role": "student", "content": "All right, so, um.", "session_id": 10482, "sequence_id": 87, "annotations": []}
{"role": "student", "content": "Bella, stop it.", "session_id": 10482, "sequence_id": 88, "annotations": [{"pii_type": "PERSON", "surrogate": "Bella", "start": 0, "end": 5}]}
{"role": "volunteer", "content": "Oh my God.", "session_id": 10482, "sequence_id": 89, "annotations": []}
{"role": "student", "content": "Oh my God.", "session_id": 10482, "sequence_id": 90, "annotations": []}
{"role": "student", "content": "Well, my little sister, she can't be at night sometimes playing the 67 song on time.", "session_id": 10482, "sequence_id": 91, "annotations": []}
{"role": "student", "content": "that it", "session_id": 10482, "sequence_id": 92, "annotations": []}
{"role": "student", "content": "Huh?", "session_id": 10482, "sequence_id": 93, "annotations": []}
{"role": "volunteer", "content": "Oh", "session_id": 10482, "sequence_id": 94, "annotations": []}
{"role": "student", "content": "Bella, *****", "session_id": 10482, "sequence_id": 95, "annotations": [{"pii_type": "PERSON", "surrogate": "Bella", "start": 0, "end": 5}]}
{"role": "student", "content": "remember you're, you're imaginary boyfriend? No. Oh my ****.", "session_id": 10482, "sequence_id": 96, "annotations": []}
{"role": "volunteer", "content": "What", "session_id": 10482, "sequence_id": 97, "annotations": []}
{"role": "student", "content": "um", "session_id": 10482, "sequence_id": 98, "annotations": []}
{"role": "student", "content": "uh", "session_id": 10482, "sequence_id": 99, "annotations": []}
{"role": "student", "content": "hold on.", "session_id": 10482, "sequence_id": 100, "annotations": []}
{"role": "volunteer", "content": "Oh", "session_id": 10482, "sequence_id": 101, "annotations": []}
{"role": "student", "content": "When I'm at like boyfriend, I'm at like her friend that's a boy who she plays.", "session_id": 10482, "sequence_id": 102, "annotations": []}
{"role": "volunteer", "content": "Oh", "session_id": 10482, "sequence_id": 103, "annotations": []}
{"role": "student", "content": "Yeah, I, I.", "session_id": 10482, "sequence_id": 104, "annotations": []}
{"role": "volunteer", "content": "Oh, she's so cute.", "session_id": 10482, "sequence_id": 105, "annotations": []}
{"role": "volunteer", "content": "I really want a sister", "session_id": 10482, "sequence_id": 106, "annotations": []}
{"role": "volunteer", "content": "So.", "session_id": 10482, "sequence_id": 107, "annotations": []}
{"role": "student", "content": "Oh my god, they", "session_id": 10482, "sequence_id": 108, "annotations": []}
{"role": "student", "content": "s.", "session_id": 10482, "sequence_id": 109, "annotations": []}
{"role": "student", "content": "Oh my gosh, come here.", "session_id": 10482, "sequence_id": 110, "annotations": []}
{"role": "student", "content": "Rock a byway", "session_id": 10482, "sequence_id": 111, "annotations": []}
{"role": "student", "content": "streets.", "session_id": 10482, "sequence_id": 112, "annotations": []}
{"role": "student", "content": "I guess. What are you doing?", "session_id": 10482, "sequence_id": 113, "annotations": []}
{"role": "student", "content": "cradle.", "session_id": 10482, "sequence_id": 114, "annotations": []}
{"role": "student", "content": "Uh-huh.", "session_id": 10482, "sequence_id": 115, "annotations": []}
{"role": "student", "content": "He, they said don't worry, OK. OK.", "session_id": 10482, "sequence_id": 116, "annotations": []}
{"role": "student", "content": "OK, so the, so I'm pretty sure, wait, um, here's a model to help, um, here, I'll, I'll take a picture and send it.", "session_id": 10482, "sequence_id": 117, "annotations": []}
{"role": "student", "content": "That's it, it, well, I, I have to go put my diaper filled.", "session_id": 10482, "sequence_id": 118, "annotations": []}
{"role": "student", "content": "But I, I, I did go now. OK, I go back.", "session_id": 10482, "sequence_id": 119, "annotations": []}
{"role": "student", "content": "Um.", "session_id": 10482, "sequence_id": 120, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 10482, "sequence_id": 121, "annotations": []}
{"role": "student", "content": "OK, here.", "session_id": 10482, "sequence_id": 122, "annotations": []}
{"role": "student", "content": "Yeah, I think", "session_id": 10482, "sequence_id": 123, "annotations": []}
{"role": "student", "content": "it's a big one.", "session_id": 10482, "sequence_id": 124, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 10482, "sequence_id": 125, "annotations": []}
{"role": "student", "content": "Mhm", "session_id": 10482, "sequence_id": 126, "annotations": []}
{"role": "volunteer", "content": "Yeah, so it's like, it's like saying that uh 11 half is equals to", "session_id": 10482, "sequence_id": 127, "annotations": []}
{"role": "volunteer", "content": "3, 3/6.", "session_id": 10482, "sequence_id": 128, "annotations": []}
{"role": "volunteer", "content": "So I didn't, I didn't study, I didn't learn this kind, this way to solve the questions. So,", "session_id": 10482, "sequence_id": 129, "annotations": []}
{"role": "volunteer", "content": "yeah.", "session_id": 10482, "sequence_id": 130, "annotations": []}
{"role": "student", "content": "OK", "session_id": 10482, "sequence_id": 131, "annotations": []}
{"role": "student", "content": "Bella, are you OK", "session_id": 10482, "sequence_id": 132, "annotations": [{"pii_type": "PERSON", "surrogate": "Bella", "start": 0, "end": 5}]}
{"role": "student", "content": "Are you?", "session_id": 10482, "sequence_id": 133, "annotations": []}
{"role": "student", "content": "OK?", "session_id": 10482, "sequence_id": 134, "annotations": []}
{"role": "student", "content": "Oh my God. Um", "session_id": 10482, "sequence_id": 135, "annotations": []}
{"role": "student", "content": "OK, so wait,", "session_id": 10482, "sequence_id": 136, "annotations": []}
{"role": "student", "content": "um", "session_id": 10482, "sequence_id": 137, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 10482, "sequence_id": 138, "annotations": []}
{"role": "student", "content": "So", "session_id": 10482, "sequence_id": 139, "annotations": []}
{"role": "student", "content": "wait, are we supposed to like, hm, so is this basically the answer.", "session_id": 10482, "sequence_id": 140, "annotations": []}
{"role": "student", "content": "Well, um.", "session_id": 10482, "sequence_id": 141, "annotations": []}
{"role": "student", "content": "Is that the answer or?", "session_id": 10482, "sequence_id": 142, "annotations": []}
{"role": "volunteer", "content": "Uh, yeah, this one is the answer, final answer.", "session_id": 10482, "sequence_id": 143, "annotations": []}
{"role": "volunteer", "content": "Yeah.", "session_id": 10482, "sequence_id": 144, "annotations": []}
{"role": "student", "content": "that's it, that's it. Yeah, but whenever really to tell a sandwich earlier. I have it.", "session_id": 10482, "sequence_id": 145, "annotations": []}
{"role": "student", "content": "Ew, hair smell it. No, I don't want to smell your poop.", "session_id": 10482, "sequence_id": 146, "annotations": []}
{"role": "student", "content": "he.", "session_id": 10482, "sequence_id": 147, "annotations": []}
{"role": "student", "content": "I thought", "session_id": 10482, "sequence_id": 148, "annotations": []}
{"role": "student", "content": "Uh, I'm talking to my tutor.", "session_id": 10482, "sequence_id": 149, "annotations": []}
{"role": "volunteer", "content": "Oh, it seems like a crazy family.", "session_id": 10482, "sequence_id": 150, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 10482, "sequence_id": 151, "annotations": []}
{"role": "student", "content": "When Bella fun fact.", "session_id": 10482, "sequence_id": 152, "annotations": [{"pii_type": "PERSON", "surrogate": "Bella", "start": 5, "end": 10}]}
{"role": "volunteer", "content": "OK.", "session_id": 10482, "sequence_id": 153, "annotations": []}
{"role": "student", "content": "My grandpa lives under under like a bridge street", "session_id": 10482, "sequence_id": 154, "annotations": []}
{"role": "student", "content": "And that she was, she was talking to you.", "session_id": 10482, "sequence_id": 155, "annotations": []}
{"role": "volunteer", "content": "Oh", "session_id": 10482, "sequence_id": 156, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 10482, "sequence_id": 157, "annotations": []}
{"role": "volunteer", "content": "oh, I love her.", "session_id": 10482, "sequence_id": 158, "annotations": []}
{"role": "student", "content": "my, my grandpa said that it is cool.", "session_id": 10482, "sequence_id": 159, "annotations": []}
{"role": "volunteer", "content": "Yeah, it's cool", "session_id": 10482, "sequence_id": 160, "annotations": []}
{"role": "student", "content": "All right, Bella, you wanna go to bed and watch Dora.", "session_id": 10482, "sequence_id": 161, "annotations": [{"pii_type": "PERSON", "surrogate": "Bella", "start": 11, "end": 16}]}
{"role": "student", "content": "Yeah, OK.", "session_id": 10482, "sequence_id": 162, "annotations": []}
{"role": "student", "content": "I go", "session_id": 10482, "sequence_id": 163, "annotations": []}
{"role": "student", "content": "I get my app.", "session_id": 10482, "sequence_id": 164, "annotations": []}
{"role": "student", "content": "Don't worry. I, I know how to. I know it clicks their one they go coco me. I, I know it.", "session_id": 10482, "sequence_id": 165, "annotations": []}
{"role": "student", "content": "Are you sure? Cause you use your microphone every time you do it, you know this time I'm tired of watching Dora and me on the back.", "session_id": 10482, "sequence_id": 166, "annotations": []}
{"role": "volunteer", "content": "Oh", "session_id": 10482, "sequence_id": 167, "annotations": []}
{"role": "student", "content": "Oh my god. I", "session_id": 10482, "sequence_id": 168, "annotations": []}
{"role": "student", "content": "No.", "session_id": 10482, "sequence_id": 169, "annotations": []}
{"role": "student", "content": "OK, um,", "session_id": 10482, "sequence_id": 170, "annotations": []}
{"role": "student", "content": "Um, hold on.", "session_id": 10482, "sequence_id": 171, "annotations": []}
{"role": "student", "content": "All right, so the next question is", "session_id": 10482, "sequence_id": 172, "annotations": []}
{"role": "student", "content": "and.", "session_id": 10482, "sequence_id": 173, "annotations": []}
{"role": "student", "content": "Mm.", "session_id": 10482, "sequence_id": 174, "annotations": []}
{"role": "student", "content": "6.", "session_id": 10482, "sequence_id": 175, "annotations": []}
{"role": "student", "content": "Oh", "session_id": 10482, "sequence_id": 176, "annotations": []}
{"role": "student", "content": "one.", "session_id": 10482, "sequence_id": 177, "annotations": []}
{"role": "student", "content": "There are black", "session_id": 10482, "sequence_id": 178, "annotations": []}
{"role": "student", "content": "colors.", "session_id": 10482, "sequence_id": 179, "annotations": []}
{"role": "student", "content": "It", "session_id": 10482, "sequence_id": 180, "annotations": []}
{"role": "student", "content": "child", "session_id": 10482, "sequence_id": 181, "annotations": []}
{"role": "volunteer", "content": "Uh-huh", "session_id": 10482, "sequence_id": 182, "annotations": []}
{"role": "student", "content": "us", "session_id": 10482, "sequence_id": 183, "annotations": []}
{"role": "student", "content": "Oh.", "session_id": 10482, "sequence_id": 184, "annotations": []}
{"role": "student", "content": "Oh", "session_id": 10482, "sequence_id": 185, "annotations": []}
{"role": "student", "content": "I", "session_id": 10482, "sequence_id": 186, "annotations": []}
{"role": "student", "content": "Oh", "session_id": 10482, "sequence_id": 187, "annotations": []}
{"role": "student", "content": "the same.", "session_id": 10482, "sequence_id": 188, "annotations": []}
{"role": "student", "content": "this", "session_id": 10482, "sequence_id": 189, "annotations": []}
{"role": "student", "content": "this", "session_id": 10482, "sequence_id": 190, "annotations": []}
{"role": "student", "content": "and", "session_id": 10482, "sequence_id": 191, "annotations": []}
{"role": "student", "content": "uh, OK, so um, is the", "session_id": 10482, "sequence_id": 192, "annotations": []}
{"role": "student", "content": "I want you so is this supposed to be like", "session_id": 10482, "sequence_id": 193, "annotations": []}
{"role": "student", "content": "the same exact answer as this one?", "session_id": 10482, "sequence_id": 194, "annotations": []}
{"role": "volunteer", "content": "Yeah, it's my 3rd.", "session_id": 10482, "sequence_id": 195, "annotations": []}
{"role": "student", "content": "Well, I forgot to go to all kinds of. We don't need to go to O. I need my finding drop. I know that girl, you're 2 years old. You don't need that stuff. I'm 2.5.", "session_id": 10482, "sequence_id": 196, "annotations": []}
{"role": "student", "content": "Oh my god, she goes to Target and Ulta.", "session_id": 10482, "sequence_id": 197, "annotations": []}
{"role": "student", "content": "Uh.", "session_id": 10482, "sequence_id": 198, "annotations": []}
{"role": "student", "content": "It was actually supposed to be 36, but", "session_id": 10482, "sequence_id": 199, "annotations": []}
{"role": "volunteer", "content": "Um", "session_id": 10482, "sequence_id": 200, "annotations": []}
{"role": "student", "content": "um.", "session_id": 10482, "sequence_id": 201, "annotations": []}
{"role": "student", "content": "It's time to go to bed. You can do your skincare, but also for", "session_id": 10482, "sequence_id": 202, "annotations": []}
{"role": "student", "content": "be head. I go to sleep that low to sleep go to sleep.", "session_id": 10482, "sequence_id": 203, "annotations": []}
{"role": "student", "content": "I sleep on, but oh my gosh like that. It doesn't have the right coin cheese.", "session_id": 10482, "sequence_id": 204, "annotations": []}
{"role": "student", "content": "Uh", "session_id": 10482, "sequence_id": 205, "annotations": []}
{"role": "student", "content": "Bella, no, don't you dare.", "session_id": 10482, "sequence_id": 206, "annotations": [{"pii_type": "PERSON", "surrogate": "Bella", "start": 0, "end": 5}]}
{"role": "student", "content": "Bella, I for black cast.", "session_id": 10482, "sequence_id": 207, "annotations": [{"pii_type": "PERSON", "surrogate": "Bella", "start": 0, "end": 5}]}
{"role": "student", "content": "Uh oh, Bella, hm", "session_id": 10482, "sequence_id": 208, "annotations": [{"pii_type": "PERSON", "surrogate": "Bella", "start": 7, "end": 12}]}
{"role": "student", "content": "through it. We a gold game while your corn so. No, no, go, go, go, oh my gosh.", "session_id": 10482, "sequence_id": 209, "annotations": []}
{"role": "student", "content": "Oh my God, I, I'm so sorry.", "session_id": 10482, "sequence_id": 210, "annotations": []}
{"role": "volunteer", "content": "Oh, it's OK.", "session_id": 10482, "sequence_id": 211, "annotations": []}
{"role": "student", "content": "Stop doing the worm.", "session_id": 10482, "sequence_id": 212, "annotations": []}
{"role": "student", "content": "Ew.", "session_id": 10482, "sequence_id": 213, "annotations": []}
{"role": "student", "content": "I", "session_id": 10482, "sequence_id": 214, "annotations": []}
{"role": "student", "content": "OK, um, so.", "session_id": 10482, "sequence_id": 215, "annotations": []}
{"role": "volunteer", "content": "Oh, yeah", "session_id": 10482, "sequence_id": 216, "annotations": []}
{"role": "student", "content": "Wait, oh my gosh, um, wait, can you scroll down on the", "session_id": 10482, "sequence_id": 217, "annotations": []}
{"role": "student", "content": "OK, so this is the next question.", "session_id": 10482, "sequence_id": 218, "annotations": []}
{"role": "student", "content": "What, what, what, what's a guy, a guy.", "session_id": 10482, "sequence_id": 219, "annotations": []}
{"role": "student", "content": "I, it's my, my earlier at schoolamerta, um, said that like I have diabetes cause I", "session_id": 10482, "sequence_id": 220, "annotations": []}
{"role": "volunteer", "content": "Is that 8", "session_id": 10482, "sequence_id": 221, "annotations": []}
{"role": "volunteer", "content": "Oh yeah. OK.", "session_id": 10482, "sequence_id": 222, "annotations": []}
{"role": "student", "content": "Yeah, I was trying to make it.", "session_id": 10482, "sequence_id": 223, "annotations": []}
{"role": "student", "content": "Yeah, when", "session_id": 10482, "sequence_id": 224, "annotations": []}
{"role": "volunteer", "content": "Yeah, it's, it's hard to write. So, I think you can use the same solution that, so there denominators are different, so you can turn like 4, you can time, time to, wait, wait.", "session_id": 10482, "sequence_id": 225, "annotations": []}
{"role": "student", "content": "On. It goes a", "session_id": 10482, "sequence_id": 226, "annotations": []}
{"role": "volunteer", "content": "Yeah, yeah, if it's time to and I, we, so 2 times 2. So it should be like", "session_id": 10482, "sequence_id": 227, "annotations": []}
{"role": "volunteer", "content": "408", "session_id": 10482, "sequence_id": 228, "annotations": []}
{"role": "student", "content": "my", "session_id": 10482, "sequence_id": 229, "annotations": []}
{"role": "student", "content": "you know", "session_id": 10482, "sequence_id": 230, "annotations": []}
{"role": "volunteer", "content": "8 minus", "session_id": 10482, "sequence_id": 231, "annotations": []}
{"role": "student", "content": "whole day", "session_id": 10482, "sequence_id": 232, "annotations": []}
{"role": "volunteer", "content": "4.", "session_id": 10482, "sequence_id": 233, "annotations": []}
{"role": "volunteer", "content": "over", "session_id": 10482, "sequence_id": 234, "annotations": []}
{"role": "student", "content": "um", "session_id": 10482, "sequence_id": 235, "annotations": []}
{"role": "volunteer", "content": "3", "session_id": 10482, "sequence_id": 236, "annotations": []}
{"role": "volunteer", "content": "So it should be", "session_id": 10482, "sequence_id": 237, "annotations": []}
{"role": "volunteer", "content": "1 Ace", "session_id": 10482, "sequence_id": 238, "annotations": []}
{"role": "student", "content": "he said some oat mouth.", "session_id": 10482, "sequence_id": 239, "annotations": []}
{"role": "volunteer", "content": "Yeah.", "session_id": 10482, "sequence_id": 240, "annotations": []}
{"role": "student", "content": "Yeah, I can't have she gone help me please, thank you.", "session_id": 10482, "sequence_id": 241, "annotations": []}
{"role": "student", "content": "So, um,", "session_id": 10482, "sequence_id": 242, "annotations": []}
{"role": "student", "content": "well", "session_id": 10482, "sequence_id": 243, "annotations": []}
{"role": "student", "content": "Uh, do you want some pink lemon here? Yeah.", "session_id": 10482, "sequence_id": 244, "annotations": []}
{"role": "student", "content": "OK, hold on. Um, hold on, let me go get um my sister some pink lemonade.", "session_id": 10482, "sequence_id": 245, "annotations": []}
{"role": "student", "content": "OK, I'll be right back", "session_id": 10482, "sequence_id": 246, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 10482, "sequence_id": 247, "annotations": []}
{"role": "student", "content": "Cas what", "session_id": 10482, "sequence_id": 248, "annotations": []}
{"role": "student", "content": "says has diabetes.", "session_id": 10482, "sequence_id": 249, "annotations": []}
{"role": "volunteer", "content": "What", "session_id": 10482, "sequence_id": 250, "annotations": []}
{"role": "student", "content": "I says she has diabetes.", "session_id": 10482, "sequence_id": 251, "annotations": []}
{"role": "student", "content": "What are you doing?", "session_id": 10482, "sequence_id": 252, "annotations": []}
{"role": "student", "content": "You were diagnosed with the silica, oh my God.", "session_id": 10482, "sequence_id": 253, "annotations": []}
{"role": "student", "content": "But", "session_id": 10482, "sequence_id": 254, "annotations": []}
{"role": "student", "content": "Alright.", "session_id": 10482, "sequence_id": 255, "annotations": []}
{"role": "student", "content": "right back.", "session_id": 10482, "sequence_id": 256, "annotations": []}
{"role": "student", "content": "I.", "session_id": 10482, "sequence_id": 257, "annotations": []}
{"role": "student", "content": "I made, I made a new one. Yeah.", "session_id": 10482, "sequence_id": 258, "annotations": []}
{"role": "student", "content": "stop. OK, um, so the 18, that answer? Oh", "session_id": 10482, "sequence_id": 259, "annotations": []}
{"role": "volunteer", "content": "Yeah, yeah, yeah", "session_id": 10482, "sequence_id": 260, "annotations": []}
{"role": "student", "content": "I know.", "session_id": 10482, "sequence_id": 261, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 10482, "sequence_id": 262, "annotations": []}
{"role": "student", "content": "I'm drop it.", "session_id": 10482, "sequence_id": 263, "annotations": []}
{"role": "student", "content": "I", "session_id": 10482, "sequence_id": 264, "annotations": []}
{"role": "student", "content": "at.", "session_id": 10482, "sequence_id": 265, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 10482, "sequence_id": 266, "annotations": []}
{"role": "student", "content": "I'll be right back", "session_id": 10482, "sequence_id": 267, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 10482, "sequence_id": 268, "annotations": []}
{"role": "student", "content": "Bella", "session_id": 10482, "sequence_id": 269, "annotations": [{"pii_type": "PERSON", "surrogate": "Bella", "start": 0, "end": 5}]}
{"role": "student", "content": "no", "session_id": 10482, "sequence_id": 270, "annotations": []}
{"role": "student", "content": "Yeah, smells like to over hair, rice.", "session_id": 10482, "sequence_id": 271, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 10482, "sequence_id": 272, "annotations": []}
{"role": "student", "content": "OK, I'm back.", "session_id": 10482, "sequence_id": 273, "annotations": []}
{"role": "volunteer", "content": "OK, OK", "session_id": 10482, "sequence_id": 274, "annotations": []}
{"role": "student", "content": "Can I get that, Bella? No, I want candy con mm mm.", "session_id": 10482, "sequence_id": 275, "annotations": [{"pii_type": "PERSON", "surrogate": "Bella", "start": 16, "end": 21}]}
{"role": "student", "content": "last week", "session_id": 10482, "sequence_id": 276, "annotations": []}
{"role": "student", "content": "It's, it's cool place what can you buy me a, a new family double one.", "session_id": 10482, "sequence_id": 277, "annotations": []}
{"role": "student", "content": "No.", "session_id": 10482, "sequence_id": 278, "annotations": []}
{"role": "student", "content": "Mm", "session_id": 10482, "sequence_id": 279, "annotations": []}
{"role": "student", "content": "If you keep on acting up, I'm, I'm gonna tell mom not to buy you the road uh blush.", "session_id": 10482, "sequence_id": 280, "annotations": []}
{"role": "student", "content": "then stop.", "session_id": 10482, "sequence_id": 281, "annotations": []}
{"role": "student", "content": "Is that the.", "session_id": 10482, "sequence_id": 282, "annotations": []}
{"role": "student", "content": "I", "session_id": 10482, "sequence_id": 283, "annotations": []}
{"role": "student", "content": "OK, um", "session_id": 10482, "sequence_id": 284, "annotations": []}
{"role": "volunteer", "content": "I", "session_id": 10482, "sequence_id": 285, "annotations": []}
{"role": "student", "content": "hm. Mhm.", "session_id": 10482, "sequence_id": 286, "annotations": []}
{"role": "volunteer", "content": "I", "session_id": 10482, "sequence_id": 287, "annotations": []}
{"role": "student", "content": "I.", "session_id": 10482, "sequence_id": 288, "annotations": []}
{"role": "student", "content": "Bella.", "session_id": 10482, "sequence_id": 289, "annotations": [{"pii_type": "PERSON", "surrogate": "Bella", "start": 0, "end": 5}]}
{"role": "volunteer", "content": "I", "session_id": 10482, "sequence_id": 290, "annotations": []}
{"role": "volunteer", "content": "I", "session_id": 10482, "sequence_id": 291, "annotations": []}
{"role": "student", "content": "She keeps on playing the sugar on my tongue, so.", "session_id": 10482, "sequence_id": 292, "annotations": []}
{"role": "student", "content": "Can you please just what's the motivation to be part of our show.", "session_id": 10482, "sequence_id": 293, "annotations": []}
{"role": "student", "content": "please share some more motivations everyone watching myself.", "session_id": 10482, "sequence_id": 294, "annotations": []}
{"role": "student", "content": "All right, so, um", "session_id": 10482, "sequence_id": 295, "annotations": []}
{"role": "volunteer", "content": "I", "session_id": 10482, "sequence_id": 296, "annotations": []}
{"role": "student", "content": "who's on next question.", "session_id": 10482, "sequence_id": 297, "annotations": []}
{"role": "volunteer", "content": "Mhm", "session_id": 10482, "sequence_id": 298, "annotations": []}
{"role": "student", "content": "Mm", "session_id": 10482, "sequence_id": 299, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 10482, "sequence_id": 300, "annotations": []}
{"role": "student", "content": "Mm.", "session_id": 10482, "sequence_id": 301, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 10482, "sequence_id": 302, "annotations": []}
{"role": "student", "content": "so", "session_id": 10482, "sequence_id": 303, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 10482, "sequence_id": 304, "annotations": []}
{"role": "volunteer", "content": "Is that 4 or 9?", "session_id": 10482, "sequence_id": 305, "annotations": []}
{"role": "student", "content": "that's a 4.", "session_id": 10482, "sequence_id": 306, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 10482, "sequence_id": 307, "annotations": []}
{"role": "volunteer", "content": "So we can still use that, so we can change 1/2 into 2 or 4.", "session_id": 10482, "sequence_id": 308, "annotations": []}
{"role": "volunteer", "content": "So 2 minus 1 equals 1. So the answer is", "session_id": 10482, "sequence_id": 309, "annotations": []}
{"role": "volunteer", "content": "1/4", "session_id": 10482, "sequence_id": 310, "annotations": []}
{"role": "student", "content": "OK", "session_id": 10482, "sequence_id": 311, "annotations": []}
{"role": "student", "content": "I", "session_id": 10482, "sequence_id": 312, "annotations": []}
{"role": "student", "content": "OK, so", "session_id": 10482, "sequence_id": 313, "annotations": []}
{"role": "student", "content": "Mhm", "session_id": 10482, "sequence_id": 314, "annotations": []}
{"role": "volunteer", "content": "Oh, it's OK", "session_id": 10482, "sequence_id": 315, "annotations": []}
{"role": "student", "content": "Sorry, I'm eating food right now. Yeah, it, it tastes good.", "session_id": 10482, "sequence_id": 316, "annotations": []}
{"role": "volunteer", "content": "Mhm", "session_id": 10482, "sequence_id": 317, "annotations": []}
{"role": "student", "content": "So, like, so yeah, are we supposed to change the one or or the 2 for the answer.", "session_id": 10482, "sequence_id": 318, "annotations": []}
{"role": "volunteer", "content": "Uh, it's like", "session_id": 10482, "sequence_id": 319, "annotations": []}
{"role": "volunteer", "content": "uh, the answer is 1/4, so we can change 1/2 into 2 or 4, and we do the subtraction.", "session_id": 10482, "sequence_id": 320, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 10482, "sequence_id": 321, "annotations": []}
{"role": "student", "content": "Hm.", "session_id": 10482, "sequence_id": 322, "annotations": []}
{"role": "student", "content": "Do you have any", "session_id": 10482, "sequence_id": 323, "annotations": []}
{"role": "student", "content": "younger siblings?", "session_id": 10482, "sequence_id": 324, "annotations": []}
{"role": "volunteer", "content": "No", "session_id": 10482, "sequence_id": 325, "annotations": []}
{"role": "student", "content": "Mm", "session_id": 10482, "sequence_id": 326, "annotations": []}
{"role": "volunteer", "content": "I'm the only child.", "session_id": 10482, "sequence_id": 327, "annotations": []}
{"role": "student", "content": "Mm", "session_id": 10482, "sequence_id": 328, "annotations": []}
{"role": "student", "content": "that must be nice.", "session_id": 10482, "sequence_id": 329, "annotations": []}
{"role": "volunteer", "content": "Uh-huh", "session_id": 10482, "sequence_id": 330, "annotations": []}
{"role": "student", "content": "What is going on in the background.", "session_id": 10482, "sequence_id": 331, "annotations": []}
{"role": "volunteer", "content": "OK, can you hear the arm?", "session_id": 10482, "sequence_id": 332, "annotations": []}
{"role": "student", "content": "Huh", "session_id": 10482, "sequence_id": 333, "annotations": []}
{"role": "volunteer", "content": "like some", "session_id": 10482, "sequence_id": 334, "annotations": []}
{"role": "student", "content": "I can't hear the alarm.", "session_id": 10482, "sequence_id": 335, "annotations": []}
{"role": "volunteer", "content": "Oh no, it's my roommates.", "session_id": 10482, "sequence_id": 336, "annotations": []}
{"role": "student", "content": "Uh, wait, you, you have a roommate?", "session_id": 10482, "sequence_id": 337, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 10482, "sequence_id": 338, "annotations": []}
{"role": "student", "content": "Oh", "session_id": 10482, "sequence_id": 339, "annotations": []}
{"role": "volunteer", "content": "Is.", "session_id": 10482, "sequence_id": 340, "annotations": []}
{"role": "student", "content": "yeah, sorry.", "session_id": 10482, "sequence_id": 341, "annotations": []}
{"role": "student", "content": "I", "session_id": 10482, "sequence_id": 342, "annotations": []}
{"role": "student", "content": "I", "session_id": 10482, "sequence_id": 343, "annotations": []}
{"role": "student", "content": "Bella", "session_id": 10482, "sequence_id": 344, "annotations": [{"pii_type": "PERSON", "surrogate": "Bella", "start": 0, "end": 5}]}
{"role": "student", "content": "starve", "session_id": 10482, "sequence_id": 345, "annotations": []}
{"role": "volunteer", "content": "I'm just.", "session_id": 10482, "sequence_id": 346, "annotations": []}
{"role": "volunteer", "content": "But, it's like", "session_id": 10482, "sequence_id": 347, "annotations": []}
{"role": "volunteer", "content": "it's", "session_id": 10482, "sequence_id": 348, "annotations": []}
{"role": "volunteer", "content": "Two you open your microphone.", "session_id": 10482, "sequence_id": 349, "annotations": []}
{"role": "volunteer", "content": "just", "session_id": 10482, "sequence_id": 350, "annotations": []}
{"role": "student", "content": "Oh, sorry", "session_id": 10482, "sequence_id": 351, "annotations": []}
{"role": "volunteer", "content": "It's OK", "session_id": 10482, "sequence_id": 352, "annotations": []}
{"role": "student", "content": "I thought my microphone was on.", "session_id": 10482, "sequence_id": 353, "annotations": []}
{"role": "student", "content": "uh, the puppy dogs had climb wall, funny.", "session_id": 10482, "sequence_id": 354, "annotations": []}
{"role": "student", "content": "Hm", "session_id": 10482, "sequence_id": 355, "annotations": []}
{"role": "student", "content": "I have.", "session_id": 10482, "sequence_id": 356, "annotations": []}
{"role": "student", "content": "uh, the this is geno. It's Fluffy.", "session_id": 10482, "sequence_id": 357, "annotations": []}
{"role": "student", "content": "yeah.", "session_id": 10482, "sequence_id": 358, "annotations": []}
{"role": "student", "content": "Yeah.", "session_id": 10482, "sequence_id": 359, "annotations": []}
{"role": "student", "content": "She was trying to save Ginu.", "session_id": 10482, "sequence_id": 360, "annotations": []}
{"role": "volunteer", "content": "Uh-huh.", "session_id": 10482, "sequence_id": 361, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 10482, "sequence_id": 362, "annotations": []}
{"role": "volunteer", "content": "Sorry", "session_id": 10482, "sequence_id": 363, "annotations": []}
{"role": "student", "content": "Hold on, I'll be right back.", "session_id": 10482, "sequence_id": 364, "annotations": []}
{"role": "student", "content": "Hello, hey.", "session_id": 10482, "sequence_id": 365, "annotations": []}
{"role": "volunteer", "content": "Hey", "session_id": 10482, "sequence_id": 366, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 10482, "sequence_id": 367, "annotations": []}
{"role": "volunteer", "content": "it's", "session_id": 10482, "sequence_id": 368, "annotations": []}
{"role": "student", "content": "He", "session_id": 10482, "sequence_id": 369, "annotations": []}
{"role": "student", "content": "uh my tai is M and keen.", "session_id": 10482, "sequence_id": 370, "annotations": []}
{"role": "volunteer", "content": "Oh, OK.", "session_id": 10482, "sequence_id": 371, "annotations": []}
{"role": "student", "content": "Yeah, yeah OK.", "session_id": 10482, "sequence_id": 372, "annotations": []}
{"role": "volunteer", "content": "You're so cute", "session_id": 10482, "sequence_id": 373, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 10482, "sequence_id": 374, "annotations": []}
{"role": "volunteer", "content": "Oh", "session_id": 10482, "sequence_id": 375, "annotations": []}
{"role": "student", "content": "Hm.", "session_id": 10482, "sequence_id": 376, "annotations": []}
{"role": "student", "content": "Who, great pain, a song Beyonce.", "session_id": 10482, "sequence_id": 377, "annotations": []}
{"role": "student", "content": "Gram Bean.", "session_id": 10482, "sequence_id": 378, "annotations": []}
{"role": "student", "content": "my friend dancing in the moon. I, I, OK. You can, you can sit right next to me, OK, but that I have to go, go get a pink uh lemonade lemonade, yeah, definitely.", "session_id": 10482, "sequence_id": 379, "annotations": []}
{"role": "student", "content": "I'm back", "session_id": 10482, "sequence_id": 380, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 10482, "sequence_id": 381, "annotations": []}
{"role": "student", "content": "her eyes got so wide", "session_id": 10482, "sequence_id": 382, "annotations": []}
{"role": "student", "content": "Was she talking to you?", "session_id": 10482, "sequence_id": 383, "annotations": []}
{"role": "volunteer", "content": "She said you are in the kitchen.", "session_id": 10482, "sequence_id": 384, "annotations": []}
{"role": "volunteer", "content": "That's it. Yeah", "session_id": 10482, "sequence_id": 385, "annotations": []}
{"role": "student", "content": "Yeah, I was.", "session_id": 10482, "sequence_id": 386, "annotations": []}
{"role": "student", "content": "I was gonna a pink lemonade.", "session_id": 10482, "sequence_id": 387, "annotations": []}
{"role": "volunteer", "content": "Mhm", "session_id": 10482, "sequence_id": 388, "annotations": []}
{"role": "student", "content": "right? Where is she going?", "session_id": 10482, "sequence_id": 389, "annotations": []}
{"role": "student", "content": "fat", "session_id": 10482, "sequence_id": 390, "annotations": []}
{"role": "student", "content": "May helped me get", "session_id": 10482, "sequence_id": 391, "annotations": []}
{"role": "student", "content": "yeah.", "session_id": 10482, "sequence_id": 392, "annotations": []}
{"role": "student", "content": "Yeah.", "session_id": 10482, "sequence_id": 393, "annotations": []}
{"role": "student", "content": "OK, so wait.", "session_id": 10482, "sequence_id": 394, "annotations": []}
{"role": "student", "content": "Mhm", "session_id": 10482, "sequence_id": 395, "annotations": []}
{"role": "student", "content": "I", "session_id": 10482, "sequence_id": 396, "annotations": []}
{"role": "student", "content": "I", "session_id": 10482, "sequence_id": 397, "annotations": []}
{"role": "student", "content": "OK. Um", "session_id": 10482, "sequence_id": 398, "annotations": []}
{"role": "student", "content": "Let's see what I, I, I have a phone for you. Hm, no, not me. No.", "session_id": 10482, "sequence_id": 399, "annotations": []}
{"role": "student", "content": "No. With carrots and color that that just add first. Obviously, at this it the way it's, it's not bad.", "session_id": 10482, "sequence_id": 400, "annotations": []}
{"role": "student", "content": "definitely, definitely.", "session_id": 10482, "sequence_id": 401, "annotations": []}
{"role": "student", "content": "to die", "session_id": 10482, "sequence_id": 402, "annotations": []}
{"role": "student", "content": "This song", "session_id": 10482, "sequence_id": 403, "annotations": []}
{"role": "student", "content": "No, that book.", "session_id": 10482, "sequence_id": 404, "annotations": []}
{"role": "student", "content": "Where black.", "session_id": 10482, "sequence_id": 405, "annotations": []}
{"role": "student", "content": "I'm the go low gala, no heartburn, no. That book at that fact that it is so tomato.", "session_id": 10482, "sequence_id": 406, "annotations": []}
{"role": "student", "content": "I go that I as a red book and I am the man. He first sing too, yeah.", "session_id": 10482, "sequence_id": 407, "annotations": []}
{"role": "student", "content": "Ja, I have two younger sisters.", "session_id": 10482, "sequence_id": 408, "annotations": []}
{"role": "student", "content": "Hi.", "session_id": 10482, "sequence_id": 409, "annotations": []}
{"role": "volunteer", "content": "Oh really?", "session_id": 10482, "sequence_id": 410, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 10482, "sequence_id": 411, "annotations": []}
{"role": "volunteer", "content": "Oh", "session_id": 10482, "sequence_id": 412, "annotations": []}
{"role": "student", "content": "I", "session_id": 10482, "sequence_id": 413, "annotations": []}
{"role": "student", "content": "Yeah.", "session_id": 10482, "sequence_id": 414, "annotations": []}
{"role": "volunteer", "content": "that's a really big family", "session_id": 10482, "sequence_id": 415, "annotations": []}
{"role": "student", "content": "we have, we have to go take our nappy. No, I wanna, I wanna attach to the nice pointy.", "session_id": 10482, "sequence_id": 416, "annotations": []}
{"role": "student", "content": "Hi, nice lady", "session_id": 10482, "sequence_id": 417, "annotations": []}
{"role": "volunteer", "content": "Hi", "session_id": 10482, "sequence_id": 418, "annotations": []}
{"role": "student", "content": "Yeah.", "session_id": 10482, "sequence_id": 419, "annotations": []}
{"role": "student", "content": "Hi", "session_id": 10482, "sequence_id": 420, "annotations": []}
{"role": "volunteer", "content": "Oh", "session_id": 10482, "sequence_id": 421, "annotations": []}
{"role": "student", "content": "My, my sister, um, she, she, she get a more pink when they. Mhm.", "session_id": 10482, "sequence_id": 422, "annotations": []}
{"role": "volunteer", "content": "Oh, OK.", "session_id": 10482, "sequence_id": 423, "annotations": []}
{"role": "student", "content": "OK", "session_id": 10482, "sequence_id": 424, "annotations": []}
{"role": "volunteer", "content": "He", "session_id": 10482, "sequence_id": 425, "annotations": []}
{"role": "volunteer", "content": "he", "session_id": 10482, "sequence_id": 426, "annotations": []}
{"role": "student", "content": "What's your name?", "session_id": 10482, "sequence_id": 427, "annotations": []}
{"role": "volunteer", "content": "I'm rolling", "session_id": 10482, "sequence_id": 428, "annotations": []}
{"role": "student", "content": "Uh", "session_id": 10482, "sequence_id": 429, "annotations": []}
{"role": "student", "content": "Um", "session_id": 10482, "sequence_id": 430, "annotations": []}
{"role": "student", "content": "wait, so, so Sarah?", "session_id": 10482, "sequence_id": 431, "annotations": [{"pii_type": "PERSON", "surrogate": "Sarah", "start": 13, "end": 18}]}
{"role": "volunteer", "content": "Yeah", "session_id": 10482, "sequence_id": 432, "annotations": []}
{"role": "student", "content": "Ah", "session_id": 10482, "sequence_id": 433, "annotations": []}
{"role": "student", "content": "That makes more sense.", "session_id": 10482, "sequence_id": 434, "annotations": []}
{"role": "volunteer", "content": "Uh-huh", "session_id": 10482, "sequence_id": 435, "annotations": []}
{"role": "student", "content": "That's it yeah", "session_id": 10482, "sequence_id": 436, "annotations": []}
{"role": "student", "content": "right,", "session_id": 10482, "sequence_id": 437, "annotations": []}
{"role": "student", "content": "so, yeah.", "session_id": 10482, "sequence_id": 438, "annotations": []}
{"role": "student", "content": "No, don't eat it. I know my ***** coming back.", "session_id": 10482, "sequence_id": 439, "annotations": []}
{"role": "student", "content": "Bella is coming back.", "session_id": 10482, "sequence_id": 440, "annotations": [{"pii_type": "PERSON", "surrogate": "Bella", "start": 0, "end": 5}]}
{"role": "volunteer", "content": "Mhm", "session_id": 10482, "sequence_id": 441, "annotations": []}
{"role": "student", "content": "P", "session_id": 10482, "sequence_id": 442, "annotations": []}
{"role": "student", "content": "How are you doing? Uh, I talk to them I like I like so.", "session_id": 10482, "sequence_id": 443, "annotations": []}
{"role": "student", "content": "It's good that's OK, Bella, well, you go to bed. I don't want to. Teddy", "session_id": 10482, "sequence_id": 444, "annotations": [{"pii_type": "PERSON", "surrogate": "Bella", "start": 21, "end": 26}]}
{"role": "student", "content": "Fine.", "session_id": 10482, "sequence_id": 445, "annotations": []}
{"role": "student", "content": "OK", "session_id": 10482, "sequence_id": 446, "annotations": []}
{"role": "student", "content": "I have you in the I don't wanna go to bed.", "session_id": 10482, "sequence_id": 447, "annotations": []}
{"role": "student", "content": "I don't know you have to.", "session_id": 10482, "sequence_id": 448, "annotations": []}
{"role": "student", "content": "find.", "session_id": 10482, "sequence_id": 449, "annotations": []}
{"role": "student", "content": "OK", "session_id": 10482, "sequence_id": 450, "annotations": []}
{"role": "student", "content": "She's in the.", "session_id": 10482, "sequence_id": 451, "annotations": []}
{"role": "student", "content": "OK. Uh, let's stop worrying about my little sisters and uh", "session_id": 10482, "sequence_id": 452, "annotations": []}
{"role": "student", "content": "yes.", "session_id": 10482, "sequence_id": 453, "annotations": []}
{"role": "student", "content": "I.", "session_id": 10482, "sequence_id": 454, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 10482, "sequence_id": 455, "annotations": []}
{"role": "student", "content": "Um", "session_id": 10482, "sequence_id": 456, "annotations": []}
{"role": "student", "content": "hm", "session_id": 10482, "sequence_id": 457, "annotations": []}
{"role": "student", "content": "out the problem.", "session_id": 10482, "sequence_id": 458, "annotations": []}
{"role": "volunteer", "content": "I.", "session_id": 10482, "sequence_id": 459, "annotations": []}
{"role": "student", "content": "It's", "session_id": 10482, "sequence_id": 460, "annotations": []}
{"role": "volunteer", "content": "main character look is.", "session_id": 10482, "sequence_id": 461, "annotations": []}
{"role": "student", "content": "Oh my God", "session_id": 10482, "sequence_id": 462, "annotations": []}
{"role": "volunteer", "content": "Hello!", "session_id": 10513, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "heloo", "session_id": 10513, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "How can I help you?", "session_id": 10513, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "i have some problems for circles", "session_id": 10513, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "and its parts", "session_id": 10513, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "Ok", "session_id": 10513, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "If you'd like you can add a picture to the whiteboard", "session_id": 10513, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "can u explain this plzz", "session_id": 10513, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "huhhh", "session_id": 10513, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "so we can start solving for problems", "session_id": 10513, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "Yup", "session_id": 10513, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "can you start explaining plzz", "session_id": 10513, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "was is a minor and major arc", "session_id": 10513, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "I'm thinking a minor is an acute one, major is obtuse?", "session_id": 10513, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "That's my first thought", "session_id": 10513, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "oh right", "session_id": 10513, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "heheh", "session_id": 10513, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "Alright I just fact checked and minor arc is actually just any arc that is less 180 degrees (so less than a semicircle) and the major one is basically just the rest of the circle", "session_id": 10513, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "The more you know I guess", "session_id": 10513, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "OH", "session_id": 10513, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "ok", "session_id": 10513, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "lets try solving", "session_id": 10513, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "lemme find sa", "session_id": 10513, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "ahhahaa", "session_id": 10513, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "Alrighty", "session_id": 10513, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "This feels very geometry", "session_id": 10513, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "theres a geometry chat here right", "session_id": 10513, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "??", "session_id": 10513, "sequence_id": 27, "annotations": []}
{"role": "student", "content": ";-;", "session_id": 10513, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "should have gone there", "session_id": 10513, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "Yeah there is", "session_id": 10513, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "This is fine though", "session_id": 10513, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "I know geometry as well", "session_id": 10513, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "But it was 4 years ago and my memory is kind of spotty", "session_id": 10513, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "here", "session_id": 10513, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "lets use the", "session_id": 10513, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "given formula to find", "session_id": 10513, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "how di you get that", "session_id": 10513, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "?", "session_id": 10513, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "plz explain", "session_id": 10513, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "Oh, well I knew that since that one angle 153 degrees, I figured that the little ones must each be 27, because 153 plus the little one is a semicircle. Then I just subtracted 153 and the two 27's from the whole circle (360) and voila! 153.", "session_id": 10513, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "oh", "session_id": 10513, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "Though it's a lot easier if you just look at it and see angle A is right across from the angle you're supposed to find and since they're made with the same lines they gotta be the same angle", "session_id": 10513, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "It's like a rule or theorem but I don't know what it's called", "session_id": 10513, "sequence_id": 43, "annotations": []}
{"role": "student", "content": "168", "session_id": 10513, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "Yup", "session_id": 10513, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "Bingo", "session_id": 10513, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "172", "session_id": 10513, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "Also correct", "session_id": 10513, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "So yeah those ones are pretty straightforward once you get it", "session_id": 10513, "sequence_id": 49, "annotations": []}
{"role": "student", "content": "oh", "session_id": 10513, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "Are there any others you're stuck on?", "session_id": 10513, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "yra", "session_id": 10513, "sequence_id": 52, "annotations": []}
{"role": "student", "content": "do you see it??", "session_id": 10513, "sequence_id": 53, "annotations": []}
{"role": "student", "content": "1. minor arc", "session_id": 10513, "sequence_id": 54, "annotations": []}
{"role": "student", "content": "2. major arc", "session_id": 10513, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "I see it yeah", "session_id": 10513, "sequence_id": 56, "annotations": []}
{"role": "student", "content": "3. item C", "session_id": 10513, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "I think 2 is minor", "session_id": 10513, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "Cause it's less than half the circle", "session_id": 10513, "sequence_id": 59, "annotations": []}
{"role": "student", "content": "oh why so", "session_id": 10513, "sequence_id": 60, "annotations": []}
{"role": "student", "content": "ohh...", "session_id": 10513, "sequence_id": 61, "annotations": []}
{"role": "student", "content": "hahahaa", "session_id": 10513, "sequence_id": 62, "annotations": []}
{"role": "student", "content": "point D", "session_id": 10513, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "3 is right though", "session_id": 10513, "sequence_id": 64, "annotations": []}
{"role": "student", "content": "4. major", "session_id": 10513, "sequence_id": 65, "annotations": []}
{"role": "student", "content": "5. major", "session_id": 10513, "sequence_id": 66, "annotations": []}
{"role": "student", "content": "http://example.com/math_image1mi", "session_id": 10513, "sequence_id": 67, "annotations": [{"pii_type": "URL", "surrogate": "http://example.com/math_image1", "start": 0, "end": 30}]}
{"role": "volunteer", "content": "Yes to all 3", "session_id": 10513, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "Nice job", "session_id": 10513, "sequence_id": 69, "annotations": []}
{"role": "student", "content": "7.minor", "session_id": 10513, "sequence_id": 70, "annotations": []}
{"role": "student", "content": "http://example.org/geometry_figure2j", "session_id": 10513, "sequence_id": 71, "annotations": [{"pii_type": "URL", "surrogate": "http://example.org/geometry_figure2", "start": 0, "end": 35}]}
{"role": "student", "content": "we still solve for some anges though", "session_id": 10513, "sequence_id": 72, "annotations": []}
{"role": "student", "content": "hahaha", "session_id": 10513, "sequence_id": 73, "annotations": []}
{"role": "student", "content": "9-18", "session_id": 10513, "sequence_id": 74, "annotations": []}
{"role": "student", "content": "is 9. 42?", "session_id": 10513, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "Yes!", "session_id": 10513, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "Awesome", "session_id": 10513, "sequence_id": 77, "annotations": []}
{"role": "student", "content": "10. 74", "session_id": 10513, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "Yep", "session_id": 10513, "sequence_id": 79, "annotations": []}
{"role": "student", "content": "11. 138", "session_id": 10513, "sequence_id": 80, "annotations": []}
{"role": "volunteer", "content": "I think that might be larger actually", "session_id": 10513, "sequence_id": 81, "annotations": []}
{"role": "student", "content": "oh..", "session_id": 10513, "sequence_id": 82, "annotations": []}
{"role": "volunteer", "content": "I think that's everything but TUS", "session_id": 10513, "sequence_id": 83, "annotations": []}
{"role": "volunteer", "content": "So everything but the angle you just found", "session_id": 10513, "sequence_id": 84, "annotations": []}
{"role": "student", "content": "286", "session_id": 10513, "sequence_id": 85, "annotations": []}
{"role": "student", "content": "problem 12", "session_id": 10513, "sequence_id": 86, "annotations": []}
{"role": "student", "content": "Hello", "session_id": 10513, "sequence_id": 87, "annotations": []}
{"role": "volunteer", "content": "Hello", "session_id": 10513, "sequence_id": 88, "annotations": []}
{"role": "student", "content": "Wait, I wanna ask, when asking for like, let me change the color. When finding, for example, or", "session_id": 10513, "sequence_id": 89, "annotations": []}
{"role": "student", "content": "uh circote, is it like this, or do you do like this? T to R or is it the longer way. Um", "session_id": 10513, "sequence_id": 90, "annotations": []}
{"role": "student", "content": "this is my first time and I'm still confused.", "session_id": 10513, "sequence_id": 91, "annotations": []}
{"role": "volunteer", "content": "Yeah so you got the number right", "session_id": 10513, "sequence_id": 92, "annotations": []}
{"role": "volunteer", "content": "I https://math.edu/diagram3ah you did", "session_id": 10513, "sequence_id": 93, "annotations": [{"pii_type": "URL", "surrogate": "https://math.edu/diagram3", "start": 2, "end": 27}]}
{"role": "student", "content": "What do you mean I got the number right", "session_id": 10513, "sequence_id": 94, "annotations": []}
{"role": "student", "content": "Uh, for what?", "session_id": 10513, "sequence_id": 95, "annotations": []}
{"role": "volunteer", "content": "286", "session_id": 10513, "sequence_id": 96, "annotations": []}
{"role": "student", "content": "Uh, we're still in number 12 for R&T, but", "session_id": 10513, "sequence_id": 97, "annotations": []}
{"role": "student", "content": "which way is it? Is it Ry the the longer one or is it the one I'm gonna encircle in green from wait from", "session_id": 10513, "sequence_id": 98, "annotations": []}
{"role": "volunteer", "content": "Oh wait are we moving on now", "session_id": 10513, "sequence_id": 99, "annotations": []}
{"role": "student", "content": "from pink here, are the tease it like that, or is it the red away?", "session_id": 10513, "sequence_id": 100, "annotations": []}
{"role": "student", "content": "which, which way is it, the red or the pink white? Because 72 + 42 equals X, but the answer for Able RD is 114", "session_id": 10513, "sequence_id": 101, "annotations": []}
{"role": "student", "content": "100", "session_id": 10513, "sequence_id": 102, "annotations": []}
{"role": "student", "content": "16", "session_id": 10513, "sequence_id": 103, "annotations": []}
{"role": "volunteer", "content": "Oh I see", "session_id": 10513, "sequence_id": 104, "annotations": []}
{"role": "student", "content": "I just want, I just had a clarifying question for", "session_id": 10513, "sequence_id": 105, "annotations": []}
{"role": "student", "content": "what's the, the burning, not really turning point, uh.", "session_id": 10513, "sequence_id": 106, "annotations": []}
{"role": "student", "content": "the", "session_id": 10513, "sequence_id": 107, "annotations": []}
{"role": "volunteer", "content": "Yeah I'm not quite sure", "session_id": 10513, "sequence_id": 108, "annotations": []}
{"role": "volunteer", "content": "I think the smaller one", "session_id": 10513, "sequence_id": 109, "annotations": []}
{"role": "student", "content": "uh what is segment X was, is it the one circled in red or the one in pink? I'm still very confused for the first time.", "session_id": 10513, "sequence_id": 110, "annotations": []}
{"role": "volunteer", "content": "The minor", "session_id": 10513, "sequence_id": 111, "annotations": []}
{"role": "student", "content": "The minor", "session_id": 10513, "sequence_id": 112, "annotations": []}
{"role": "student", "content": "Oh, so it's not a full, uh, oh yeah, of course, OK. So if I'll go RT 72 + 42 is.", "session_id": 10513, "sequence_id": 113, "annotations": []}
{"role": "student", "content": "100.", "session_id": 10513, "sequence_id": 114, "annotations": []}
{"role": "student", "content": "or 2 + 64.", "session_id": 10513, "sequence_id": 115, "annotations": []}
{"role": "student", "content": "plus", "session_id": 10513, "sequence_id": 116, "annotations": []}
{"role": "volunteer", "content": "If they don't specify with a third letter it's minor", "session_id": 10513, "sequence_id": 117, "annotations": []}
{"role": "student", "content": "Wait, I think I, it's not showing. I think it's not 7su.", "session_id": 10513, "sequence_id": 118, "annotations": []}
{"role": "student", "content": "74", "session_id": 10513, "sequence_id": 119, "annotations": []}
{"role": "student", "content": "Oh, OK. OK, 74 + 42, it's under 16 but it makes sense now.", "session_id": 10513, "sequence_id": 120, "annotations": []}
{"role": "student", "content": "OK. I think I got it already. For Ale QR, which just circle in pink. It's P U R.", "session_id": 10513, "sequence_id": 121, "annotations": []}
{"role": "student", "content": "So it's basically the same of 64 combined with uh I know", "session_id": 10513, "sequence_id": 122, "annotations": []}
{"role": "student", "content": "with with 74, so 64 + 70.", "session_id": 10513, "sequence_id": 123, "annotations": []}
{"role": "student", "content": "4 by 74. It's 138. Is it correct?", "session_id": 10513, "sequence_id": 124, "annotations": []}
{"role": "student", "content": "You are", "session_id": 10513, "sequence_id": 125, "annotations": []}
{"role": "student", "content": "1238", "session_id": 10513, "sequence_id": 126, "annotations": []}
{"role": "student", "content": "It makes sense. For 30", "session_id": 10513, "sequence_id": 127, "annotations": []}
{"role": "student", "content": "are.", "session_id": 10513, "sequence_id": 128, "annotations": []}
{"role": "student", "content": "QS. This is basically", "session_id": 10513, "sequence_id": 129, "annotations": []}
{"role": "student", "content": "a major art because there were 3 of them, if I'm not mistaken, so", "session_id": 10513, "sequence_id": 130, "annotations": []}
{"role": "student", "content": "we do everything except", "session_id": 10513, "sequence_id": 131, "annotations": []}
{"role": "student", "content": "so everything except", "session_id": 10513, "sequence_id": 132, "annotations": []}
{"role": "student", "content": "great", "session_id": 10513, "sequence_id": 133, "annotations": []}
{"role": "student", "content": "you can read angle beta plus 42,318.", "session_id": 10513, "sequence_id": 134, "annotations": []}
{"role": "student", "content": "Yeah, makes sense", "session_id": 10513, "sequence_id": 135, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 10513, "sequence_id": 136, "annotations": []}
{"role": "student", "content": "Uh, number 15 is", "session_id": 10513, "sequence_id": 137, "annotations": []}
{"role": "student", "content": "BQ", "session_id": 10513, "sequence_id": 138, "annotations": []}
{"role": "student", "content": "S, so it's a major art", "session_id": 10513, "sequence_id": 139, "annotations": []}
{"role": "student", "content": "This is", "session_id": 10513, "sequence_id": 140, "annotations": []}
{"role": "student", "content": "42 + 42 + 100.", "session_id": 10513, "sequence_id": 141, "annotations": []}
{"role": "student", "content": "138", "session_id": 10513, "sequence_id": 142, "annotations": []}
{"role": "student", "content": "due to", "session_id": 10513, "sequence_id": 143, "annotations": []}
{"role": "student", "content": "OK", "session_id": 10513, "sequence_id": 144, "annotations": []}
{"role": "student", "content": "you", "session_id": 10513, "sequence_id": 145, "annotations": []}
{"role": "student", "content": "Yeah, it makes 238.", "session_id": 10513, "sequence_id": 146, "annotations": []}
{"role": "student", "content": "Excellent", "session_id": 10513, "sequence_id": 147, "annotations": []}
{"role": "student", "content": "QR", "session_id": 10513, "sequence_id": 148, "annotations": []}
{"role": "student", "content": "OK I ate this for you too, uh 64", "session_id": 10513, "sequence_id": 149, "annotations": []}
{"role": "student", "content": "22044 inch.", "session_id": 10513, "sequence_id": 150, "annotations": []}
{"role": "student", "content": "Yeah, it makes sense.", "session_id": 10513, "sequence_id": 151, "annotations": []}
{"role": "student", "content": "OK, for P.", "session_id": 10513, "sequence_id": 152, "annotations": []}
{"role": "student", "content": "to S. Which way though be wait. Oh, we are here or the longer one. I always get confused with this one.", "session_id": 10513, "sequence_id": 153, "annotations": []}
{"role": "student", "content": "OK. I got it. So the last is", "session_id": 10513, "sequence_id": 154, "annotations": []}
{"role": "student", "content": "64 something blank and then uh 42 because BT R O", "session_id": 10513, "sequence_id": 155, "annotations": []}
{"role": "student", "content": "to look at it.", "session_id": 10513, "sequence_id": 156, "annotations": []}
{"role": "student", "content": "Makes sense.", "session_id": 10513, "sequence_id": 157, "annotations": []}
{"role": "student", "content": "OK", "session_id": 10513, "sequence_id": 158, "annotations": []}
{"role": "student", "content": "You're still", "session_id": 10513, "sequence_id": 159, "annotations": []}
{"role": "student", "content": "one more worksheet I would.", "session_id": 10513, "sequence_id": 160, "annotations": []}
{"role": "student", "content": "I would like", "session_id": 10513, "sequence_id": 161, "annotations": []}
{"role": "student", "content": "I would like", "session_id": 10513, "sequence_id": 162, "annotations": []}
{"role": "student", "content": "you to", "session_id": 10513, "sequence_id": 163, "annotations": []}
{"role": "student", "content": "to, to, uh, we would, I would like you to work with me. Let me find it. I, I think it's better.", "session_id": 10513, "sequence_id": 164, "annotations": []}
{"role": "student", "content": "Identifying future versus minor art.", "session_id": 10513, "sequence_id": 165, "annotations": []}
{"role": "student", "content": "That's better.", "session_id": 10513, "sequence_id": 166, "annotations": []}
{"role": "student", "content": "And", "session_id": 10513, "sequence_id": 167, "annotations": []}
{"role": "student", "content": "Oh.", "session_id": 10513, "sequence_id": 168, "annotations": []}
{"role": "student", "content": "this lesson", "session_id": 10513, "sequence_id": 169, "annotations": []}
{"role": "student", "content": "i confirmed t already", "session_id": 10513, "sequence_id": 170, "annotations": []}
{"role": "student", "content": "thank you for this tut ses", "session_id": 10513, "sequence_id": 171, "annotations": []}
{"role": "student", "content": "byee", "session_id": 10513, "sequence_id": 172, "annotations": []}
{"role": "volunteer", "content": "Bye", "session_id": 10513, "sequence_id": 173, "annotations": []}
{"role": "student", "content": "thank you very much", "session_id": 10513, "sequence_id": 174, "annotations": []}
{"role": "student", "content": ";-;", "session_id": 10513, "sequence_id": 175, "annotations": []}
{"role": "volunteer", "content": "Hi!", "session_id": 10533, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "Haha I like your message", "session_id": 10533, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "hellloooooo", "session_id": 10533, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "What can I help you with today?", "session_id": 10533, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "heheheehhhahahahaah :)", "session_id": 10533, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "math :)", "session_id": 10533, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "Great, what are you working on?", "session_id": 10533, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "Alright, let's start with what we already know. We're trying to find the cube root of 10. Are there any perfect cubes near 10 that we can recognize?", "session_id": 10533, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "5?", "session_id": 10533, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "or 2", "session_id": 10533, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "Why do you say 2?", "session_id": 10533, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "You're on the right track there", "session_id": 10533, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "because 2x5 is 10. idk why i said 2", "session_id": 10533, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "And just to clarify, this is the cube root of 10 and not 3 times the square root of 10, right?", "session_id": 10533, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "wdym?", "session_id": 10533, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "cube root is one number times itself 3 times equals the number", "session_id": 10533, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "yep!", "session_id": 10533, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "Check the drawing I just made", "session_id": 10533, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "Which one is the problem using", "session_id": 10533, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "Got it", "session_id": 10533, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "Okay", "session_id": 10533, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "And we're trying to find which number is the cube root of 10", "session_id": 10533, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "So to do that, we can sandwich that number between two cubes that we already know", "session_id": 10533, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "its a decimal right??", "session_id": 10533, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 10533, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "But all we have to do is find the numbers it's between", "session_id": 10533, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "So can you think of any numbers that, when cubed, are close to 10?", "session_id": 10533, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "2?", "session_id": 10533, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "Yes!", "session_id": 10533, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "yayyy", "session_id": 10533, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "So 2 cubed is what", "session_id": 10533, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "1?", "session_id": 10533, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "Well when we cube something, we multiply it by itself twice", "session_id": 10533, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "So 2x2x2", "session_id": 10533, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "What does that equal", "session_id": 10533, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "8", "session_id": 10533, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 10533, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "Which makes sense, because 8 is close to 10", "session_id": 10533, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "So now we have the number less than 10", "session_id": 10533, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "We need to find the number greater than 10 that has an easy cube root", "session_id": 10533, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "What's another number we can try to cube?", "session_id": 10533, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "5?", "session_id": 10533, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "Okay, we can try that", "session_id": 10533, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "nvm thats 125", "session_id": 10533, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "Yeah lol", "session_id": 10533, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "It's okay! Let's try a new one", "session_id": 10533, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "Sometimes in these problems it's easier to just count up", "session_id": 10533, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "So we can try 3 next", "session_id": 10533, "sequence_id": 47, "annotations": []}
{"role": "student", "content": "3 cubed is 27", "session_id": 10533, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "Yeah!", "session_id": 10533, "sequence_id": 49, "annotations": []}
{"role": "student", "content": "yayyyy", "session_id": 10533, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "So which number do you think is closer to the cube root of 10? 2 or 3?", "session_id": 10533, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "2", "session_id": 10533, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "That's correct!", "session_id": 10533, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "Great job", "session_id": 10533, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "Do you have another problem you need help with?", "session_id": 10533, "sequence_id": 55, "annotations": []}
{"role": "student", "content": "yes ma'am", "session_id": 10533, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "Great", "session_id": 10533, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "If you paste it on the board we can work on that now", "session_id": 10533, "sequence_id": 58, "annotations": []}
{"role": "student", "content": "sorry my internet was bad", "session_id": 10533, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "all good", "session_id": 10533, "sequence_id": 60, "annotations": []}
{"role": "student", "content": "ok", "session_id": 10533, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "Okay, for this one we can apply the same principle", "session_id": 10533, "sequence_id": 62, "annotations": []}
{"role": "student", "content": "im sorry i have to go :(", "session_id": 10533, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "Oh okay", "session_id": 10533, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "Good luck with the rest of it!", "session_id": 10533, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "Hi\uff01", "session_id": 10541, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": ":D", "session_id": 10541, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "how can i help u?", "session_id": 10541, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "\u4f60\u597d", "session_id": 10541, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "\u4f60\u597d\uff01", "session_id": 10541, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "Hi", "session_id": 10541, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "do u speak Mandarin?", "session_id": 10541, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 10541, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "Wait", "session_id": 10541, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "\u592a\u597d\u4e86", "session_id": 10541, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 10541, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "Some", "session_id": 10541, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "Not all", "session_id": 10541, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "OKOK", "session_id": 10541, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": ":)", "session_id": 10541, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "My iPad has restrictions of what i can do in upcheive right now", "session_id": 10541, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "I need to refresh the page", "session_id": 10541, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "okk", "session_id": 10541, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "Better", "session_id": 10541, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": ":D", "session_id": 10541, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "can u make it bigger?", "session_id": 10541, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "ok thank u", "session_id": 10541, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "This is probably over the grade im in", "session_id": 10541, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "ok i get it", "session_id": 10541, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "5th", "session_id": 10541, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "wait u are in 6th grade??", "session_id": 10541, "sequence_id": 25, "annotations": [{"pii_type": "GRADE_LEVEL", "surrogate": "6th grade", "start": 14, "end": 23}]}
{"role": "student", "content": "Ethan", "session_id": 10541, "sequence_id": 26, "annotations": [{"pii_type": "PERSON", "surrogate": "Ethan", "start": 0, "end": 5}]}
{"role": "volunteer", "content": "!!!", "session_id": 10541, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "omg ur so smart", "session_id": 10541, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "\u2026", "session_id": 10541, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "5th", "session_id": 10541, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "For my school", "session_id": 10541, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "so a real numbers squared it always positive", "session_id": 10541, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 10541, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "I know", "session_id": 10541, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "but its cubed depends on itself", "session_id": 10541, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "so x^3will be positive so x will be positive", "session_id": 10541, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "sorry i need to head to another classroom", "session_id": 10541, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "could u pls wait me a moment:(", "session_id": 10541, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "and y willbe negative", "session_id": 10541, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "Sure", "session_id": 10541, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "z will be positive so it's +-+ i think", "session_id": 10541, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "+-+ looks like a face", "session_id": 10541, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "LOL", "session_id": 10541, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "so for 8 it's like time the numbers together and add 10", "session_id": 10541, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "Df", "session_id": 10541, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "Dd", "session_id": 10541, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "D", "session_id": 10541, "sequence_id": 47, "annotations": []}
{"role": "student", "content": "D", "session_id": 10541, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "D", "session_id": 10541, "sequence_id": 49, "annotations": []}
{"role": "student", "content": "d", "session_id": 10541, "sequence_id": 50, "annotations": []}
{"role": "student", "content": "D", "session_id": 10541, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "D", "session_id": 10541, "sequence_id": 52, "annotations": []}
{"role": "student", "content": "D", "session_id": 10541, "sequence_id": 53, "annotations": []}
{"role": "student", "content": "D", "session_id": 10541, "sequence_id": 54, "annotations": []}
{"role": "student", "content": "D", "session_id": 10541, "sequence_id": 55, "annotations": []}
{"role": "student", "content": "D", "session_id": 10541, "sequence_id": 56, "annotations": []}
{"role": "student", "content": "D", "session_id": 10541, "sequence_id": 57, "annotations": []}
{"role": "student", "content": "D", "session_id": 10541, "sequence_id": 58, "annotations": []}
{"role": "student", "content": "D", "session_id": 10541, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": ":)", "session_id": 10541, "sequence_id": 60, "annotations": []}
{"role": "student", "content": "D", "session_id": 10541, "sequence_id": 61, "annotations": []}
{"role": "student", "content": "Again for 9", "session_id": 10541, "sequence_id": 62, "annotations": []}
{"role": "student", "content": "I say", "session_id": 10541, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "so for 9 there are 10 numbers and 5 are odd so it should be a i think", "session_id": 10541, "sequence_id": 64, "annotations": []}
{"role": "student", "content": "Oh wait", "session_id": 10541, "sequence_id": 65, "annotations": []}
{"role": "student", "content": "Yea", "session_id": 10541, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "im sorry i need to go now, my class will begin", "session_id": 10541, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": ":(", "session_id": 10541, "sequence_id": 68, "annotations": []}
{"role": "student", "content": "We are done anyway", "session_id": 10541, "sequence_id": 69, "annotations": []}
{"role": "student", "content": "Bye", "session_id": 10541, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "bye", "session_id": 10541, "sequence_id": 71, "annotations": []}
{"role": "student", "content": "Solve triangle ABC, <A=48 degrees, <B=55 degrees, c=26", "session_id": 9781, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "law of sines", "session_id": 9781, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "In order to use the law of sines, doesn't one need to know one angle and one opposite side in order to compute the ratio?", "session_id": 9781, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "right, I'm not sure how to find out angle C though", "session_id": 9781, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "How many degrees in the sum of the angles in any triangle?", "session_id": 9781, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "180 degrees", "session_id": 9781, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "Yes!!!", "session_id": 9781, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "Can you find <C?", "session_id": 9781, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "oh yes wait", "session_id": 9781, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "77 degrees?", "session_id": 9781, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "because 48+55=103 and 180-103=77", "session_id": 9781, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "180-(48+55)=77?", "session_id": 9781, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "OK!!  Now what?", "session_id": 9781, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "sorry one moment im writing this down", "session_id": 9781, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 9781, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "so then we need to do a formula involving the angle C and side c?", "session_id": 9781, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "law of sines: sinA/a = sinB/b = sinC/c", "session_id": 9781, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "Yes!!", "session_id": 9781, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "so sin77/26?", "session_id": 9781, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "which would be about .374", "session_id": 9781, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "So now, sinB/b = 0.374", "session_id": 9781, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "wait why is it sin B/B = .374? shouldn't it be sin C/c?", "session_id": 9781, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "Any ratio will be 0.374 by the law of sines.", "session_id": 9781, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "sinB/b", "session_id": 9781, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "so does that mean sin A/a, sin B/b, and sin C/c are all the same?", "session_id": 9781, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "aka .374", "session_id": 9781, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "law of sines: sinA/a=sinB/b=sinC/c", "session_id": 9781, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "Should be to be clear:", "session_id": 9781, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "sin(A)/a=sin(B)/b=sin(C)/c", "session_id": 9781, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "yes, and same for the inverse, right?", "session_id": 9781, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "a/sinA=b/sinB=c/sinC", "session_id": 9781, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "Yes!!", "session_id": 9781, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "so is that it", "session_id": 9781, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "im confused", "session_id": 9781, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "wait so what does that solve for though", "session_id": 9781, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "The problem stated to \"solve the triangle\".  That means to find the values of all angles and all sides.", "session_id": 9781, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "sin48/a=0.374, solve for a", "session_id": 9781, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "a=sin(48)/0.374", "session_id": 9781, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "wait sorry, so my teacher did this problem and wrote ASA on the side right? and he ended up with B=sin^-1 (26sin40/32) at the end", "session_id": 9781, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "That sounds like a different problem?  Where did 40 and 32 come from?", "session_id": 9781, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "Yes exactly, that's why I'm confused. Because I get that in his work the side 26 for c is the same, but then he also did the diagram and everything differently. Like, instead of writing the angles like I did with A B C, he wrote A C B", "session_id": 9781, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "the order is different", "session_id": 9781, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "ASA sounds like a congruence short cut.", "session_id": 9781, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "and then he factored out the 26 when multiplying it by [sin40/32=sinB/27]", "session_id": 9781, "sequence_id": 43, "annotations": []}
{"role": "student", "content": "which I also don't get where he got the 32 from", "session_id": 9781, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "Or the 40 or the 27?", "session_id": 9781, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "exactly, the 40 and the 26 as well", "session_id": 9781, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "I get his calculations but they don't match with the problem", "session_id": 9781, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "Were you told to use the law of sines?", "session_id": 9781, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "Yes, the problem I'm presenting now is just a practice problem but right after that he went straight into all these problems from a worksheet that all require me to use law of sines", "session_id": 9781, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "OK, do you understand the law of sines?", "session_id": 9781, "sequence_id": 50, "annotations": []}
{"role": "student", "content": "I get the formulas you gave me and I've noted them down as well from class", "session_id": 9781, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "I just don't get the solving part in the sense that what should my final answer be", "session_id": 9781, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "Your final answer should be any missing angle values or side length values.  To \"solve\" a triangle means to find all the angle and side length values.", "session_id": 9781, "sequence_id": 53, "annotations": []}
{"role": "student", "content": "Okay, would it help if I were to put up a photo of his work?", "session_id": 9781, "sequence_id": 54, "annotations": []}
{"role": "student", "content": "and other sort of examples he gave for this", "session_id": 9781, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "We first found the missing angle value so that we had a corresponding ratio.", "session_id": 9781, "sequence_id": 56, "annotations": []}
{"role": "student", "content": "yes", "session_id": 9781, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "Then we can use that ratio to find the missing side lengths.", "session_id": 9781, "sequence_id": 58, "annotations": []}
{"role": "student", "content": "right", "session_id": 9781, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "Sure, post the teacher's work.", "session_id": 9781, "sequence_id": 60, "annotations": []}
{"role": "student", "content": "wait so this is another intro thing he did, and let me give the second photo as well of this problem we're doing", "session_id": 9781, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "Your teacher first derived the law of sines formula, then used it.", "session_id": 9781, "sequence_id": 62, "annotations": []}
{"role": "student", "content": "sorry, can you elaborate on that?", "session_id": 9781, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "ASA means that we know two angles and the included side.", "session_id": 9781, "sequence_id": 64, "annotations": []}
{"role": "student", "content": "yes, which is 40 degrees, side 26 (c), and 55 degrees", "session_id": 9781, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "Your teacher first showed how the law of sines was found.", "session_id": 9781, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "Then he used it to solve a triangle.", "session_id": 9781, "sequence_id": 67, "annotations": []}
{"role": "student", "content": "all right I'll explain my thought process reading what he wrote;", "session_id": 9781, "sequence_id": 68, "annotations": []}
{"role": "student", "content": "so because he was finding side c first, he did c/sin43. Then he made that equal to 30/sin68 because that's the only ratio that has both the denominator and numerator values already", "session_id": 9781, "sequence_id": 69, "annotations": []}
{"role": "student", "content": "and then he wanted to isolate the c, hence why he factored it out", "session_id": 9781, "sequence_id": 70, "annotations": []}
{"role": "student", "content": "once he factored it out, he was left with c=30sin43/sin68", "session_id": 9781, "sequence_id": 71, "annotations": []}
{"role": "student", "content": "and then im a little confused", "session_id": 9781, "sequence_id": 72, "annotations": []}
{"role": "student", "content": "wait would it have mattered if instead of making the ratio equal to b/sin69 22.1/43?", "session_id": 9781, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "Do you see where he got csin68 = 30sin43?", "session_id": 9781, "sequence_id": 74, "annotations": []}
{"role": "student", "content": "that's from a/sinA", "session_id": 9781, "sequence_id": 75, "annotations": []}
{"role": "student", "content": "I'm wondering that if all of them are the same according to law of sines, would it have mattered if he chose to do c/sinC instead?", "session_id": 9781, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "In his example, he knows A and a.", "session_id": 9781, "sequence_id": 77, "annotations": []}
{"role": "student", "content": "yes, but he just figured out C and c", "session_id": 9781, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "And he knows C so he can solve for c", "session_id": 9781, "sequence_id": 79, "annotations": []}
{"role": "student", "content": "wait I'm going to try solving for it and see if it's the same answer", "session_id": 9781, "sequence_id": 80, "annotations": []}
{"role": "volunteer", "content": "Remember that you can find the third angle easily if you know the other 2 angles.", "session_id": 9781, "sequence_id": 81, "annotations": []}
{"role": "volunteer", "content": "Good idea", "session_id": 9781, "sequence_id": 82, "annotations": []}
{"role": "student", "content": "So I did the alternative, with C and C. This was my set up;", "session_id": 9781, "sequence_id": 83, "annotations": []}
{"role": "student", "content": "b/sin69 = 22.1/43", "session_id": 9781, "sequence_id": 84, "annotations": []}
{"role": "student", "content": "I multiplied everything by sin69", "session_id": 9781, "sequence_id": 85, "annotations": []}
{"role": "student", "content": "and I got 22.1 sin69/43", "session_id": 9781, "sequence_id": 86, "annotations": []}
{"role": "student", "content": "which then led to my final answer of about .479", "session_id": 9781, "sequence_id": 87, "annotations": []}
{"role": "student", "content": "and that isn't the same as solving for the ratio of A and a", "session_id": 9781, "sequence_id": 88, "annotations": []}
{"role": "student", "content": "which led to 30.2", "session_id": 9781, "sequence_id": 89, "annotations": []}
{"role": "volunteer", "content": "I'm sorry, but I didn't follow all that.", "session_id": 9781, "sequence_id": 90, "annotations": []}
{"role": "student", "content": "No it's fine, I'll break it down again", "session_id": 9781, "sequence_id": 91, "annotations": []}
{"role": "student", "content": "so you know how in his ratio he did b/sin69, which is solving for b", "session_id": 9781, "sequence_id": 92, "annotations": []}
{"role": "student", "content": "as equal to 30/sin68", "session_id": 9781, "sequence_id": 93, "annotations": []}
{"role": "student", "content": "which is the ratio of a/sinA", "session_id": 9781, "sequence_id": 94, "annotations": []}
{"role": "volunteer", "content": "30/sin68 solves for the ratio", "session_id": 9781, "sequence_id": 95, "annotations": []}
{"role": "student", "content": "OH WAIT I SEE", "session_id": 9781, "sequence_id": 96, "annotations": []}
{"role": "student", "content": "I SEE MY MISTAKE", "session_id": 9781, "sequence_id": 97, "annotations": []}
{"role": "volunteer", "content": "a/sinA", "session_id": 9781, "sequence_id": 98, "annotations": []}
{"role": "student", "content": "I didn't do SIN 43", "session_id": 9781, "sequence_id": 99, "annotations": []}
{"role": "student", "content": "I just did 43", "session_id": 9781, "sequence_id": 100, "annotations": []}
{"role": "volunteer", "content": "aahhh", "session_id": 9781, "sequence_id": 101, "annotations": []}
{"role": "student", "content": "when using the alternative of c/sinC", "session_id": 9781, "sequence_id": 102, "annotations": []}
{"role": "student", "content": "I only did c/C", "session_id": 9781, "sequence_id": 103, "annotations": []}
{"role": "student", "content": "that's funny thank you so much", "session_id": 9781, "sequence_id": 104, "annotations": []}
{"role": "volunteer", "content": "law of SINES  haha", "session_id": 9781, "sequence_id": 105, "annotations": []}
{"role": "student", "content": "RIGHT that's hilarious", "session_id": 9781, "sequence_id": 106, "annotations": []}
{"role": "student", "content": "okay wait I get that", "session_id": 9781, "sequence_id": 107, "annotations": []}
{"role": "student", "content": "so then, now the question becomes, how did that problem lead to the following one that we were initially working on?", "session_id": 9781, "sequence_id": 108, "annotations": []}
{"role": "volunteer", "content": "It's the same problem with different numbers.", "session_id": 9781, "sequence_id": 109, "annotations": []}
{"role": "student", "content": "I just don't get how he did that entire equation method. So since we left off at figuring out sinC/c, which is .374, what would we do next?", "session_id": 9781, "sequence_id": 110, "annotations": []}
{"role": "volunteer", "content": "Set the ratio (0.374) equal to the other sinB/b and sinA/a to find the missing sides or angles.", "session_id": 9781, "sequence_id": 111, "annotations": []}
{"role": "student", "content": "but .374 is just one value, if I were to set up an equation/ratio thing, would it be worth instead doing something like sin48/a = sin77/26?", "session_id": 9781, "sequence_id": 112, "annotations": []}
{"role": "volunteer", "content": "The law of sines says that all the ratios are equal.", "session_id": 9781, "sequence_id": 113, "annotations": []}
{"role": "volunteer", "content": "Your equation will work, but it's usually easier to calculate the ratio once then use it.", "session_id": 9781, "sequence_id": 114, "annotations": []}
{"role": "student", "content": "So if we did the easier method, then how would I set up the equation?", "session_id": 9781, "sequence_id": 115, "annotations": []}
{"role": "volunteer", "content": "I've lost track of what you know, but first use the known side and known opposite angle to find the ratio.  Then use the ratio to find the remaining missing values.  Make sense?", "session_id": 9781, "sequence_id": 116, "annotations": []}
{"role": "student", "content": "sorry, yeah I get that. I'll just do it with the equation I suggested earlier-- the longer way. I'll also make sure to email him about that specific problem", "session_id": 9781, "sequence_id": 117, "annotations": []}
{"role": "student", "content": "sorry for taking this long to grasp it! thank you for the help :))", "session_id": 9781, "sequence_id": 118, "annotations": []}
{"role": "volunteer", "content": "np, you're welcome", "session_id": 9781, "sequence_id": 119, "annotations": []}
{"role": "student", "content": "good night", "session_id": 9781, "sequence_id": 120, "annotations": []}
{"role": "volunteer", "content": "gnight and Liam", "session_id": 9781, "sequence_id": 121, "annotations": [{"pii_type": "PERSON", "surrogate": "Liam", "start": 11, "end": 15}]}
{"role": "student", "content": "Hello!", "session_id": 9789, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "hello", "session_id": 9789, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "what u struggling on", "session_id": 9789, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "I need some help with Calculus :(", "session_id": 9789, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "sorry Im struggling", "session_id": 9789, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "its fine", "session_id": 9789, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "is this the complete question or is there more", "session_id": 9789, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "there's more", "session_id": 9789, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "so the question basically limit of h as approaches to 0 is sin(Pi over 3 + h) - sin(Pi over 3) over h is equal to?", "session_id": 9789, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "do u understand why they teach us this limit btw", "session_id": 9789, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "kind of", "session_id": 9789, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "not at all", "session_id": 9789, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "alr its fine", "session_id": 9789, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "same with me when i was learning it", "session_id": 9789, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "also we never use it later btw", "session_id": 9789, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "its all ragebait", "session_id": 9789, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "anyways", "session_id": 9789, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "its to find the slope of the tangent line of f(x)", "session_id": 9789, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "in this case sin(pi/3)", "session_id": 9789, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "ok", "session_id": 9789, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "why sin(Pi/3) in specific?", "session_id": 9789, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "and the h is the distance between two points on the line and the equation is the secant line of connecting the two dots", "session_id": 9789, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "Ohh wait I actually know because of the formula right??", "session_id": 9789, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "basically the formula is lim h -> 0 f(x+h) - f(x) all over h", "session_id": 9789, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "eyah", "session_id": 9789, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "yeah*", "session_id": 9789, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "so we have to find the derivatives right to solve it?", "session_id": 9789, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "yep", "session_id": 9789, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "because limit is equal to derivate right? something like that", "session_id": 9789, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "it is", "session_id": 9789, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "so the derivative os sin would be cos right?", "session_id": 9789, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "yep", "session_id": 9789, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "and after that Idk what to do", "session_id": 9789, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "so do you remember the chain rule?", "session_id": 9789, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "Nope", "session_id": 9789, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "ok idk if it has been covered in class yet though", "session_id": 9789, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "wait give me a second", "session_id": 9789, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "ok", "session_id": 9789, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "i think i went too deep", "session_id": 9789, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "u don't need the chain rule", "session_id": 9789, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "ohh okay I was getting scared for a moment haha", "session_id": 9789, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "now the answer to that would be the answer to the initial question", "session_id": 9789, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "oh Im sorry my screen doesn't show what you write on the right side Idk why", "session_id": 9789, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "i didn't write anything except equals", "session_id": 9789, "sequence_id": 43, "annotations": []}
{"role": "student", "content": "it doesn't give me the option to scroll or anything", "session_id": 9789, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "it was just space for u to fill in", "session_id": 9789, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "ohh okay now I can see it thanks", "session_id": 9789, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "so the final answer is cos Pi/3?", "session_id": 9789, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "yeah but the teacher would prob want it simplified", "session_id": 9789, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "hmm, how do we simply Pi?", "session_id": 9789, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "oh this is just the unit circle", "session_id": 9789, "sequence_id": 50, "annotations": []}
{"role": "student", "content": "so it would be 1/2?", "session_id": 9789, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "yep", "session_id": 9789, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "cos pi/3 = 1/2", "session_id": 9789, "sequence_id": 53, "annotations": []}
{"role": "student", "content": "ohhhh okay!!!", "session_id": 9789, "sequence_id": 54, "annotations": []}
{"role": "student", "content": "it know make sense", "session_id": 9789, "sequence_id": 55, "annotations": []}
{"role": "student", "content": "can I ask you another question and I try to answered just to make sure that I understand", "session_id": 9789, "sequence_id": 56, "annotations": []}
{"role": "student", "content": "??", "session_id": 9789, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "sure", "session_id": 9789, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "should i clear the board", "session_id": 9789, "sequence_id": 59, "annotations": []}
{"role": "student", "content": "ok so the question limit of  h as approaches 0 is (e^h - 1) over h", "session_id": 9789, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 9789, "sequence_id": 61, "annotations": []}
{"role": "student", "content": "soo", "session_id": 9789, "sequence_id": 62, "annotations": []}
{"role": "student", "content": "we are looking for e^h right?", "session_id": 9789, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "have you heard of lopitals rule?", "session_id": 9789, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "im sort of stumped a bit", "session_id": 9789, "sequence_id": 65, "annotations": []}
{"role": "student", "content": "the one that says that the derivative of e is the same?", "session_id": 9789, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "but the rule i said is the thing that can solve this but idk if u guys were taught that yet", "session_id": 9789, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "no not that", "session_id": 9789, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "hmm give me a sec", "session_id": 9789, "sequence_id": 69, "annotations": []}
{"role": "student", "content": "ohh so not hehe", "session_id": 9789, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "so", "session_id": 9789, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "we got to pretend there is a function there", "session_id": 9789, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "there is no x given", "session_id": 9789, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "so lets say that there is an invisible x that is equal to 0", "session_id": 9789, "sequence_id": 74, "annotations": []}
{"role": "volunteer", "content": "bear with me now", "session_id": 9789, "sequence_id": 75, "annotations": []}
{"role": "student", "content": "ok", "session_id": 9789, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "if u see this on a test ur teacher is evil", "session_id": 9789, "sequence_id": 77, "annotations": []}
{"role": "student", "content": ":,( he is", "session_id": 9789, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "at least u can surprise him by getting the answer correct lol", "session_id": 9789, "sequence_id": 79, "annotations": []}
{"role": "student", "content": "Haha if I learn how to do it yeah", "session_id": 9789, "sequence_id": 80, "annotations": []}
{"role": "student", "content": "so why we have to imagine an x?", "session_id": 9789, "sequence_id": 81, "annotations": []}
{"role": "volunteer", "content": "so you try to find a f(x) in the equation", "session_id": 9789, "sequence_id": 82, "annotations": []}
{"role": "volunteer", "content": "and use ur imagination", "session_id": 9789, "sequence_id": 83, "annotations": []}
{"role": "student", "content": "and specifically the x has to add to the h and why you replace the 1 for an e^x?", "session_id": 9789, "sequence_id": 84, "annotations": []}
{"role": "volunteer", "content": "because since x = 0, e^x = 1", "session_id": 9789, "sequence_id": 85, "annotations": []}
{"role": "volunteer", "content": "and we can use e^x as the function", "session_id": 9789, "sequence_id": 86, "annotations": []}
{"role": "student", "content": "ohh thats right", "session_id": 9789, "sequence_id": 87, "annotations": []}
{"role": "volunteer", "content": "and since the lim formula has f(x+h)", "session_id": 9789, "sequence_id": 88, "annotations": []}
{"role": "volunteer", "content": "it works there", "session_id": 9789, "sequence_id": 89, "annotations": []}
{"role": "student", "content": "ohh okay!", "session_id": 9789, "sequence_id": 90, "annotations": []}
{"role": "student", "content": "it was the only two questions that I missed from my homework! thank you so much!!", "session_id": 9789, "sequence_id": 91, "annotations": []}
{"role": "volunteer", "content": "no problem", "session_id": 9789, "sequence_id": 92, "annotations": []}
{"role": "student", "content": "I will try to study either why because tomorrow I will have a test :(", "session_id": 9789, "sequence_id": 93, "annotations": []}
{"role": "volunteer", "content": "that sucks", "session_id": 9789, "sequence_id": 94, "annotations": []}
{"role": "volunteer", "content": "hopefully u ace it", "session_id": 9789, "sequence_id": 95, "annotations": []}
{"role": "student", "content": "I hope! well thank you so much you have a wondeful night Ms. Davis", "session_id": 9789, "sequence_id": 96, "annotations": [{"pii_type": "PERSON", "surrogate": "Ms. Davis", "start": 57, "end": 66}]}
{"role": "volunteer", "content": "you too Maria", "session_id": 9789, "sequence_id": 97, "annotations": [{"pii_type": "PERSON", "surrogate": "Maria", "start": 8, "end": 13}]}
{"role": "volunteer", "content": "gn", "session_id": 9789, "sequence_id": 98, "annotations": []}
{"role": "volunteer", "content": "Hello", "session_id": 10990, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "Hello", "session_id": 10990, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "How can I help you today", "session_id": 10990, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "I'm having trouble in algebra 2", "session_id": 10990, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "Okay", "session_id": 10990, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "Do you have a specific aspect of Algebra 2", "session_id": 10990, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "Factoring trinomials", "session_id": 10990, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "Just to be clear, do you want a tutorial on this or you have a question you'll want us to tackle", "session_id": 10990, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "I would like a tutorial", "session_id": 10990, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "Great choice", "session_id": 10990, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "You gonna have to give me a moment to draft out something for you, alright?", "session_id": 10990, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "Alright", "session_id": 10990, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "I'll be right back", "session_id": 10990, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "Okay", "session_id": 10990, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "Come to the board", "session_id": 10990, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "How do i do that", "session_id": 10990, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "I see it", "session_id": 10990, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "Hold on", "session_id": 10990, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "Okay", "session_id": 10990, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "Hello, can you hear me?", "session_id": 10990, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "yes", "session_id": 10990, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "Great. So I'm gonna talk", "session_id": 10990, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "just pay attention", "session_id": 10990, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "All right", "session_id": 10990, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "alright", "session_id": 10990, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "Now, like you can see from the first, um,", "session_id": 10990, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "picture", "session_id": 10990, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "I'm going to take that picture down so you can see the isolated.", "session_id": 10990, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 10990, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "a trinomial", "session_id": 10990, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "is a kind of polynomial.", "session_id": 10990, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "you know, where we have to deal with 3 terms. When we talk about polynomials.", "session_id": 10990, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "We are talking about um", "session_id": 10990, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "variables with power, stating from power 2.", "session_id": 10990, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "So when you look at the trinomial,", "session_id": 10990, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "um", "session_id": 10990, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "right in front of you here.", "session_id": 10990, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "the letter A is a coefficient of the X to the power 2.", "session_id": 10990, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "which is the highest power in this case.", "session_id": 10990, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "Let it be is the coefficient to the next", "session_id": 10990, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "power to let it", "session_id": 10990, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "I mean to X squad.", "session_id": 10990, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "which is X on the part of 1. Let's say it's actually a coefficient also to an X-rays to 0.", "session_id": 10990, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "or because N raise the part 01, you cannot say the X-rays to pa area, so we tag it constant.", "session_id": 10990, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "I hope that is clear", "session_id": 10990, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "Now, we're going to the next slide.", "session_id": 10990, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "of scroll up now", "session_id": 10990, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "Let me", "session_id": 10990, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "this down. So we're coming to the slide.", "session_id": 10990, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "Here we have an example", "session_id": 10990, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "but two x 2", "session_id": 10990, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "or the service one.", "session_id": 10990, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "give me a second", "session_id": 10990, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "OK, let's walk with this slide first.", "session_id": 10990, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "We have a next score at plus a 5 X + 6.", "session_id": 10990, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "Here, you'll length of fat to rise.", "session_id": 10990, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "first", "session_id": 10990, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "You're going to deal with a constant sea which equals 6 in this case.", "session_id": 10990, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "Yeah, that's, that constanty, which equals 6.", "session_id": 10990, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "You're going to look for two factors of that constancy that will add up to give the middle factor.", "session_id": 10990, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "the middle coefficient amount.", "session_id": 10990, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "that is the, the core of Shade of eggs, which in this case is 5.", "session_id": 10990, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "So what are two numbers that would be multiplied.", "session_id": 10990, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "you know, that would multiply to give", "session_id": 10990, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "6 and add up to give 5.", "session_id": 10990, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "Those numbers are 2 and 3.", "session_id": 10990, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "+ 2 + 3 is gonna give 5 the main number.", "session_id": 10990, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "2 times 3 is gonna give.", "session_id": 10990, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "6", "session_id": 10990, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "So those two are the factors we are looking for.", "session_id": 10990, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "So our answer is just going to be X plus one of them, then Xplore the other.", "session_id": 10990, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "I hope that is clear", "session_id": 10990, "sequence_id": 71, "annotations": []}
{"role": "student", "content": "It is clear", "session_id": 10990, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "OK, I'm gonna have to do some writing on the board now. So I'm going to take some, I mean, those pictures of", "session_id": 10990, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "if you teenagers picture, you let me know. So I'll put them back later. But for now, I want to show you another case, but I have to write that on the board.", "session_id": 10990, "sequence_id": 74, "annotations": []}
{"role": "volunteer", "content": "Is that all right", "session_id": 10990, "sequence_id": 75, "annotations": []}
{"role": "student", "content": "Its alright", "session_id": 10990, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 10990, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "So I'm gonna delete", "session_id": 10990, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "if your latest later, you can let me know. I'm going to repost.", "session_id": 10990, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "Can you, OK, it's gone.", "session_id": 10990, "sequence_id": 80, "annotations": []}
{"role": "volunteer", "content": "Now", "session_id": 10990, "sequence_id": 81, "annotations": []}
{"role": "volunteer", "content": "I'm just gonna, you know", "session_id": 10990, "sequence_id": 82, "annotations": []}
{"role": "volunteer", "content": "create a question. Let's say why?", "session_id": 10990, "sequence_id": 83, "annotations": []}
{"role": "volunteer", "content": "What is going on", "session_id": 10990, "sequence_id": 84, "annotations": []}
{"role": "volunteer", "content": "Why isn't this right", "session_id": 10990, "sequence_id": 85, "annotations": []}
{"role": "volunteer", "content": "Excuse me", "session_id": 10990, "sequence_id": 86, "annotations": []}
{"role": "volunteer", "content": "I don't know what is going on to this spot.", "session_id": 10990, "sequence_id": 87, "annotations": []}
{"role": "student", "content": "It's fine", "session_id": 10990, "sequence_id": 88, "annotations": []}
{"role": "volunteer", "content": "I'll just try again", "session_id": 10990, "sequence_id": 89, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 10990, "sequence_id": 90, "annotations": []}
{"role": "volunteer", "content": "Y 2", "session_id": 10990, "sequence_id": 91, "annotations": []}
{"role": "volunteer", "content": "+", "session_id": 10990, "sequence_id": 92, "annotations": []}
{"role": "volunteer", "content": "4", "session_id": 10990, "sequence_id": 93, "annotations": []}
{"role": "volunteer", "content": "Y", "session_id": 10990, "sequence_id": 94, "annotations": []}
{"role": "volunteer", "content": "+ 3", "session_id": 10990, "sequence_id": 95, "annotations": []}
{"role": "volunteer", "content": "Pick this 3 out.", "session_id": 10990, "sequence_id": 96, "annotations": []}
{"role": "volunteer", "content": "first", "session_id": 10990, "sequence_id": 97, "annotations": []}
{"role": "volunteer", "content": "Pick the first sign out.", "session_id": 10990, "sequence_id": 98, "annotations": []}
{"role": "volunteer", "content": "that is a plus", "session_id": 10990, "sequence_id": 99, "annotations": []}
{"role": "volunteer", "content": "Multiply the first sign by the second sign.", "session_id": 10990, "sequence_id": 100, "annotations": []}
{"role": "volunteer", "content": "plus times + is a plus.", "session_id": 10990, "sequence_id": 101, "annotations": []}
{"role": "volunteer", "content": "Look for two factors.", "session_id": 10990, "sequence_id": 102, "annotations": []}
{"role": "volunteer", "content": "such that when they multiply, they give you 3", "session_id": 10990, "sequence_id": 103, "annotations": []}
{"role": "student", "content": "I cant see anything", "session_id": 10990, "sequence_id": 104, "annotations": []}
{"role": "volunteer", "content": "When they had up, they give you 4.", "session_id": 10990, "sequence_id": 105, "annotations": []}
{"role": "volunteer", "content": "Those factors are 3", "session_id": 10990, "sequence_id": 106, "annotations": []}
{"role": "volunteer", "content": "and 1", "session_id": 10990, "sequence_id": 107, "annotations": []}
{"role": "volunteer", "content": "The bigger is written first, then the smaller nest.", "session_id": 10990, "sequence_id": 108, "annotations": []}
{"role": "volunteer", "content": "Now, + 0 + 1 is going to end up giving us plus 4.", "session_id": 10990, "sequence_id": 109, "annotations": []}
{"role": "volunteer", "content": "which is a", "session_id": 10990, "sequence_id": 110, "annotations": []}
{"role": "volunteer", "content": "plus several times + 1 is going to end up giving us plus free, which is it. So now that I'm", "session_id": 10990, "sequence_id": 111, "annotations": []}
{"role": "volunteer", "content": "able to bring other factors. I'm just going to split this Y square.", "session_id": 10990, "sequence_id": 112, "annotations": []}
{"role": "volunteer", "content": "between these two", "session_id": 10990, "sequence_id": 113, "annotations": []}
{"role": "volunteer", "content": "factors", "session_id": 10990, "sequence_id": 114, "annotations": []}
{"role": "volunteer", "content": "So my answer is going to be why", "session_id": 10990, "sequence_id": 115, "annotations": []}
{"role": "volunteer", "content": "plus 3", "session_id": 10990, "sequence_id": 116, "annotations": []}
{"role": "volunteer", "content": "Sorry about that", "session_id": 10990, "sequence_id": 117, "annotations": []}
{"role": "student", "content": "i cant see", "session_id": 10990, "sequence_id": 118, "annotations": []}
{"role": "volunteer", "content": "I don't know what's going on here.", "session_id": 10990, "sequence_id": 119, "annotations": []}
{"role": "volunteer", "content": "Let's see if we can erase this.", "session_id": 10990, "sequence_id": 120, "annotations": []}
{"role": "volunteer", "content": "I'll just try and write and hopefully it does right now.", "session_id": 10990, "sequence_id": 121, "annotations": []}
{"role": "volunteer", "content": "enclosed in brackets of parenthesis.", "session_id": 10990, "sequence_id": 122, "annotations": []}
{"role": "volunteer", "content": "they have the next why", "session_id": 10990, "sequence_id": 123, "annotations": []}
{"role": "volunteer", "content": "plus", "session_id": 10990, "sequence_id": 124, "annotations": []}
{"role": "volunteer", "content": "1", "session_id": 10990, "sequence_id": 125, "annotations": []}
{"role": "volunteer", "content": "+ 1", "session_id": 10990, "sequence_id": 126, "annotations": []}
{"role": "volunteer", "content": "closed", "session_id": 10990, "sequence_id": 127, "annotations": []}
{"role": "volunteer", "content": "This is a case", "session_id": 10990, "sequence_id": 128, "annotations": []}
{"role": "volunteer", "content": "Is it understood", "session_id": 10990, "sequence_id": 129, "annotations": []}
{"role": "student", "content": "I cant see the writing but i understand", "session_id": 10990, "sequence_id": 130, "annotations": []}
{"role": "volunteer", "content": "Great", "session_id": 10990, "sequence_id": 131, "annotations": []}
{"role": "volunteer", "content": "Now, um, there is another case I want to show you quickly.", "session_id": 10990, "sequence_id": 132, "annotations": []}
{"role": "volunteer", "content": "Um, I would like you to know that we cannot cover every aspect of this in one class.", "session_id": 10990, "sequence_id": 133, "annotations": []}
{"role": "volunteer", "content": "It will be too", "session_id": 10990, "sequence_id": 134, "annotations": []}
{"role": "volunteer", "content": "you know", "session_id": 10990, "sequence_id": 135, "annotations": []}
{"role": "volunteer", "content": "too much for you to cope with.", "session_id": 10990, "sequence_id": 136, "annotations": []}
{"role": "volunteer", "content": "But I'm just gonna cover similar aspects.", "session_id": 10990, "sequence_id": 137, "annotations": []}
{"role": "volunteer", "content": "as much as possible if we happen to meet some other time.", "session_id": 10990, "sequence_id": 138, "annotations": []}
{"role": "volunteer", "content": "we'll continue from where?", "session_id": 10990, "sequence_id": 139, "annotations": []}
{"role": "volunteer", "content": "we, we might stop tonight or today.", "session_id": 10990, "sequence_id": 140, "annotations": []}
{"role": "volunteer", "content": "try to wipe this off. I know.", "session_id": 10990, "sequence_id": 141, "annotations": []}
{"role": "volunteer", "content": "Yeah.", "session_id": 10990, "sequence_id": 142, "annotations": []}
{"role": "student", "content": "Okay", "session_id": 10990, "sequence_id": 143, "annotations": []}
{"role": "volunteer", "content": "Let's look at this", "session_id": 10990, "sequence_id": 144, "annotations": []}
{"role": "volunteer", "content": "Y 2", "session_id": 10990, "sequence_id": 145, "annotations": []}
{"role": "volunteer", "content": "^2", "session_id": 10990, "sequence_id": 146, "annotations": []}
{"role": "volunteer", "content": "minus", "session_id": 10990, "sequence_id": 147, "annotations": []}
{"role": "volunteer", "content": "4 Y", "session_id": 10990, "sequence_id": 148, "annotations": []}
{"role": "volunteer", "content": "+", "session_id": 10990, "sequence_id": 149, "annotations": []}
{"role": "volunteer", "content": "5", "session_id": 10990, "sequence_id": 150, "annotations": []}
{"role": "volunteer", "content": "let me know if you can see what I've written down the board.", "session_id": 10990, "sequence_id": 151, "annotations": []}
{"role": "student", "content": "i cant see", "session_id": 10990, "sequence_id": 152, "annotations": []}
{"role": "volunteer", "content": "right", "session_id": 10990, "sequence_id": 153, "annotations": []}
{"role": "volunteer", "content": "Uh, I I have to do and adjustment.", "session_id": 10990, "sequence_id": 154, "annotations": []}
{"role": "volunteer", "content": "I want this to remain", "session_id": 10990, "sequence_id": 155, "annotations": []}
{"role": "volunteer", "content": "Oh", "session_id": 10990, "sequence_id": 156, "annotations": []}
{"role": "volunteer", "content": "that's it", "session_id": 10990, "sequence_id": 157, "annotations": []}
{"role": "volunteer", "content": "Give me a second, please", "session_id": 10990, "sequence_id": 158, "annotations": []}
{"role": "student", "content": "Okay no problem", "session_id": 10990, "sequence_id": 159, "annotations": []}
{"role": "volunteer", "content": "I want to make this for", "session_id": 10990, "sequence_id": 160, "annotations": []}
{"role": "volunteer", "content": "Good", "session_id": 10990, "sequence_id": 161, "annotations": []}
{"role": "volunteer", "content": "Now, the first step is to extract the first sign.", "session_id": 10990, "sequence_id": 162, "annotations": []}
{"role": "volunteer", "content": "which is a minus.", "session_id": 10990, "sequence_id": 163, "annotations": []}
{"role": "volunteer", "content": "multiply the first sign by the next sign.", "session_id": 10990, "sequence_id": 164, "annotations": []}
{"role": "volunteer", "content": "where you multiply minus and plus. You'll end up having a minus.", "session_id": 10990, "sequence_id": 165, "annotations": []}
{"role": "volunteer", "content": "Now, look for two-factors of the constant", "session_id": 10990, "sequence_id": 166, "annotations": []}
{"role": "volunteer", "content": "the will", "session_id": 10990, "sequence_id": 167, "annotations": []}
{"role": "volunteer", "content": "multiply to give a plus for", "session_id": 10990, "sequence_id": 168, "annotations": []}
{"role": "volunteer", "content": "and add up to give a minus 4.", "session_id": 10990, "sequence_id": 169, "annotations": []}
{"role": "volunteer", "content": "So first step is to get two factors of 4 that that would multiply to give a plus for", "session_id": 10990, "sequence_id": 170, "annotations": []}
{"role": "volunteer", "content": "and add up to give a minus 4.", "session_id": 10990, "sequence_id": 171, "annotations": []}
{"role": "volunteer", "content": "Those two factors are 2 numbers.", "session_id": 10990, "sequence_id": 172, "annotations": []}
{"role": "volunteer", "content": "that are the same", "session_id": 10990, "sequence_id": 173, "annotations": []}
{"role": "volunteer", "content": "So 22 is going to end up giving a negative 4.", "session_id": 10990, "sequence_id": 174, "annotations": []}
{"role": "volunteer", "content": "negative 2 times 2 is going to end up giving a positive force. So are the two factors.", "session_id": 10990, "sequence_id": 175, "annotations": []}
{"role": "volunteer", "content": "Now, split this Y squared.", "session_id": 10990, "sequence_id": 176, "annotations": []}
{"role": "volunteer", "content": "between the factors.", "session_id": 10990, "sequence_id": 177, "annotations": []}
{"role": "volunteer", "content": "This is going to be why", "session_id": 10990, "sequence_id": 178, "annotations": []}
{"role": "volunteer", "content": "minus 2", "session_id": 10990, "sequence_id": 179, "annotations": []}
{"role": "volunteer", "content": "open and closed.", "session_id": 10990, "sequence_id": 180, "annotations": []}
{"role": "volunteer", "content": "then", "session_id": 10990, "sequence_id": 181, "annotations": []}
{"role": "volunteer", "content": "another way", "session_id": 10990, "sequence_id": 182, "annotations": []}
{"role": "volunteer", "content": "minus 2", "session_id": 10990, "sequence_id": 183, "annotations": []}
{"role": "volunteer", "content": "Is this understood", "session_id": 10990, "sequence_id": 184, "annotations": []}
{"role": "student", "content": "So it'd look like (x-2) (x-2)?", "session_id": 10990, "sequence_id": 185, "annotations": []}
{"role": "volunteer", "content": "Absolutely", "session_id": 10990, "sequence_id": 186, "annotations": []}
{"role": "volunteer", "content": "You're correct, yeah", "session_id": 10990, "sequence_id": 187, "annotations": []}
{"role": "volunteer", "content": "It's gonna look like that", "session_id": 10990, "sequence_id": 188, "annotations": []}
{"role": "student", "content": "I understand it then!", "session_id": 10990, "sequence_id": 189, "annotations": []}
{"role": "volunteer", "content": "Great, but this is just an aspect of it. There is another aspect of it which I don't know if you're ready for.", "session_id": 10990, "sequence_id": 190, "annotations": []}
{"role": "volunteer", "content": "in this class", "session_id": 10990, "sequence_id": 191, "annotations": []}
{"role": "volunteer", "content": "But this is an aspect of it.", "session_id": 10990, "sequence_id": 192, "annotations": []}
{"role": "student", "content": "i would like to atleast try it out", "session_id": 10990, "sequence_id": 193, "annotations": []}
{"role": "volunteer", "content": "OK, do you need me to send some questions or you're going to try out on your own and give me feedback.", "session_id": 10990, "sequence_id": 194, "annotations": []}
{"role": "student", "content": "Can you send them if possible", "session_id": 10990, "sequence_id": 195, "annotations": []}
{"role": "volunteer", "content": "Yeah, I'll do just that. Give me a moment. Let me go.", "session_id": 10990, "sequence_id": 196, "annotations": []}
{"role": "volunteer", "content": "fetch some questions, and I'll post it right here for you.", "session_id": 10990, "sequence_id": 197, "annotations": []}
{"role": "volunteer", "content": "Is that OK", "session_id": 10990, "sequence_id": 198, "annotations": []}
{"role": "student", "content": "It's fine", "session_id": 10990, "sequence_id": 199, "annotations": []}
{"role": "volunteer", "content": "All right. But before I leave, I'm gonna repost those pictures I posted earlier and", "session_id": 10990, "sequence_id": 200, "annotations": []}
{"role": "volunteer", "content": "so you could put down some taints while I'm gone. You don't just stay idle, all right? Is that OK?", "session_id": 10990, "sequence_id": 201, "annotations": []}
{"role": "student", "content": "Okay", "session_id": 10990, "sequence_id": 202, "annotations": []}
{"role": "student", "content": "Thank you", "session_id": 10990, "sequence_id": 203, "annotations": []}
{"role": "volunteer", "content": "All right. Let me do just that.", "session_id": 10990, "sequence_id": 204, "annotations": []}
{"role": "volunteer", "content": "Alright, attempt these:", "session_id": 10990, "sequence_id": 205, "annotations": []}
{"role": "volunteer", "content": "\u200e1.  x\u00b2 + 9x + 20 \n\u200e\n\u200e2.  x\u00b2 \u2013 3x \u2013 10", "session_id": 10990, "sequence_id": 206, "annotations": []}
{"role": "student", "content": "okay", "session_id": 10990, "sequence_id": 207, "annotations": []}
{"role": "student", "content": "Do you want me to work it out?", "session_id": 10990, "sequence_id": 208, "annotations": []}
{"role": "student", "content": "or just send you my answr", "session_id": 10990, "sequence_id": 209, "annotations": []}
{"role": "student", "content": "answer*", "session_id": 10990, "sequence_id": 210, "annotations": []}
{"role": "volunteer", "content": "Work it out", "session_id": 10990, "sequence_id": 211, "annotations": []}
{"role": "student", "content": "Okay", "session_id": 10990, "sequence_id": 212, "annotations": []}
{"role": "volunteer", "content": "OK, you wipe the butt first. I've been trying to get rid of some of these tents so you can have", "session_id": 10990, "sequence_id": 213, "annotations": []}
{"role": "volunteer", "content": "space on the boat, but if you can do that to your side, please.", "session_id": 10990, "sequence_id": 214, "annotations": []}
{"role": "volunteer", "content": "Do it, get rid of those", "session_id": 10990, "sequence_id": 215, "annotations": []}
{"role": "volunteer", "content": "things that posted the pictures.", "session_id": 10990, "sequence_id": 216, "annotations": []}
{"role": "volunteer", "content": "I've been trying to do just that, but it's not.", "session_id": 10990, "sequence_id": 217, "annotations": []}
{"role": "volunteer", "content": "responding from this end.", "session_id": 10990, "sequence_id": 218, "annotations": []}
{"role": "volunteer", "content": "Yeah, just get rid of everything.", "session_id": 10990, "sequence_id": 219, "annotations": []}
{"role": "volunteer", "content": "so you could have space for work.", "session_id": 10990, "sequence_id": 220, "annotations": []}
{"role": "student", "content": "Is that good?", "session_id": 10990, "sequence_id": 221, "annotations": []}
{"role": "volunteer", "content": "I would prefer you get rid of everything.", "session_id": 10990, "sequence_id": 222, "annotations": []}
{"role": "volunteer", "content": "this", "session_id": 10990, "sequence_id": 223, "annotations": []}
{"role": "volunteer", "content": "this, and this. Get them off the board so you could have space.", "session_id": 10990, "sequence_id": 224, "annotations": []}
{"role": "volunteer", "content": "Yeah this up the border in this.", "session_id": 10990, "sequence_id": 225, "annotations": []}
{"role": "student", "content": "Okay", "session_id": 10990, "sequence_id": 226, "annotations": []}
{"role": "volunteer", "content": "Good.", "session_id": 10990, "sequence_id": 227, "annotations": []}
{"role": "volunteer", "content": "So you can start your walk-ins now.", "session_id": 10990, "sequence_id": 228, "annotations": []}
{"role": "volunteer", "content": "That is correct, very correct.", "session_id": 10990, "sequence_id": 229, "annotations": []}
{"role": "volunteer", "content": "First question you've solved.", "session_id": 10990, "sequence_id": 230, "annotations": []}
{"role": "volunteer", "content": "correctly", "session_id": 10990, "sequence_id": 231, "annotations": []}
{"role": "volunteer", "content": "Keep me enough", "session_id": 10990, "sequence_id": 232, "annotations": []}
{"role": "volunteer", "content": "Absolutely correct.", "session_id": 10990, "sequence_id": 233, "annotations": []}
{"role": "volunteer", "content": "I'm impressed by your performance.", "session_id": 10990, "sequence_id": 234, "annotations": []}
{"role": "volunteer", "content": "so keep it up, all right?", "session_id": 10990, "sequence_id": 235, "annotations": []}
{"role": "student", "content": "Alright!", "session_id": 10990, "sequence_id": 236, "annotations": []}
{"role": "volunteer", "content": "Can you now handle the other part, I told you about or do we stop here for today?", "session_id": 10990, "sequence_id": 237, "annotations": []}
{"role": "student", "content": "I understand everything we talked about today! If we can end it here, that'd be great", "session_id": 10990, "sequence_id": 238, "annotations": []}
{"role": "student", "content": "You're a great tutor", "session_id": 10990, "sequence_id": 239, "annotations": []}
{"role": "volunteer", "content": "Alright then, bye...", "session_id": 10990, "sequence_id": 240, "annotations": []}
{"role": "student", "content": "Bye!", "session_id": 10990, "sequence_id": 241, "annotations": []}
{"role": "volunteer", "content": "hello", "session_id": 11032, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "hello can you help me", "session_id": 11032, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "I am not sure what they are asking for here.", "session_id": 11032, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "involves using the limit of a Riemann sum.", "session_id": 11032, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "Are you familiar with that procedure?", "session_id": 11032, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "It uses summation formulas", "session_id": 11032, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "Is that what you are referring to?", "session_id": 11032, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "yes", "session_id": 11032, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "can you show me", "session_id": 11032, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "I can but it will take awhile, especially if you are not familar with the procedure or the summation formulas", "session_id": 11032, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "its fine", "session_id": 11032, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "can you show", "session_id": 11032, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 11032, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "Then you take the limit of that as n approaches infinity", "session_id": 11032, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "ohhhh", "session_id": 11032, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "what do you do next", "session_id": 11032, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "ohhh okay", "session_id": 11032, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "thankj you", "session_id": 11032, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "you are welcome.", "session_id": 11032, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "Have a good weekend", "session_id": 11032, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "I believe that is correct", "session_id": 11032, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "that's it.", "session_id": 11032, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "I will sign off now.", "session_id": 11032, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "bye", "session_id": 11032, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "hello", "session_id": 11041, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "hi, hru?", "session_id": 11041, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "I am ok. how are you?", "session_id": 11041, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "i'm fine, thx", "session_id": 11041, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "Northwood High?", "session_id": 11041, "sequence_id": 4, "annotations": [{"pii_type": "SCHOOL", "surrogate": "Northwood High", "start": 0, "end": 14}]}
{"role": "student", "content": "why did u ask that?", "session_id": 11041, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "Because on the little survey, Northwood High.", "session_id": 11041, "sequence_id": 6, "annotations": [{"pii_type": "SCHOOL", "surrogate": "Northwood High", "start": 30, "end": 44}]}
{"role": "student", "content": "what little survey?", "session_id": 11041, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "You fill out something when you put up a request.", "session_id": 11041, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "It also says that you are stressed!", "session_id": 11041, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "wait y'all actually be looking at those lol", "session_id": 11041, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "Northwood High?", "session_id": 11041, "sequence_id": 11, "annotations": [{"pii_type": "SCHOOL", "surrogate": "Northwood High", "start": 0, "end": 14}]}
{"role": "student", "content": "we can say that yes", "session_id": 11041, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "ok, what is your question?", "session_id": 11041, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "so I'm working with applied related rates and they're kinda confusing, there is a bunch but i'll put the first one up", "session_id": 11041, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "Ok", "session_id": 11041, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "How is the height, h, related to the radius, x?", "session_id": 11041, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "Hello?", "session_id": 11041, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "I drew an xy cross section of the bowl.", "session_id": 11041, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "one min", "session_id": 11041, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "Hello?  are you in a class?", "session_id": 11041, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "no sorry, I was doing smth rq, now I'm back, what were you saying?", "session_id": 11041, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "How is the height, h, related to the radius, r?  I drew an xy cross section of the bowl.", "session_id": 11041, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "like a triangle?", "session_id": 11041, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "In that equation, y is the height and x is the radius", "session_id": 11041, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "oh ok", "session_id": 11041, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "is that the formula?", "session_id": 11041, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "does it make sense to you?", "session_id": 11041, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "that's why I'm asking, is h=r^3 The formula", "session_id": 11041, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "So I guess it doesn't make sense to you.", "session_id": 11041, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "yes this one is kinda confusing, explain it to me", "session_id": 11041, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "please", "session_id": 11041, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "At a particular level h, the x value is the radius", "session_id": 11041, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "say the radius is 2. what would be the height?", "session_id": 11041, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "8", "session_id": 11041, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "right.", "session_id": 11041, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "so now you can go ahead and do the question.", "session_id": 11041, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "You have an equation relating the height and the radius, which is what you need.", "session_id": 11041, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "the height is related to r by like radius cubed, But doesn't the cube mean the volume", "session_id": 11041, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "no, the cube is just giving the curve that determines how the height is related to the radius", "session_id": 11041, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "whenever the radius is some number a, the height is a^3", "session_id": 11041, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "yes", "session_id": 11041, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "now take the radius wrt time", "session_id": 11041, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "I mean take the derivative wrt time", "session_id": 11041, "sequence_id": 43, "annotations": []}
{"role": "student", "content": "where the w?", "session_id": 11041, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "come from", "session_id": 11041, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "take the derivative with respect to (wrt) time", "session_id": 11041, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "oh", "session_id": 11041, "sequence_id": 47, "annotations": []}
{"role": "student", "content": "but what's the formula tho, is it the h=r^3 here comes the question again", "session_id": 11041, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "I wrote the formula on the board. Don't you see it?", "session_id": 11041, "sequence_id": 49, "annotations": []}
{"role": "student", "content": "nope", "session_id": 11041, "sequence_id": 50, "annotations": []}
{"role": "student", "content": "where?", "session_id": 11041, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "I have written stuff below the worksheet", "session_id": 11041, "sequence_id": 52, "annotations": []}
{"role": "student", "content": "i only see the picture and couple stuff that's it, there are so many things missing here like the 1/2 cm and the 27/8", "session_id": 11041, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "so you dont see where I wrote h=r^3?", "session_id": 11041, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "perhaps try refreshing", "session_id": 11041, "sequence_id": 55, "annotations": []}
{"role": "student", "content": "i see it but where is the n?", "session_id": 11041, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "there's no n. that's a typo.  go ahead and do that derivative.", "session_id": 11041, "sequence_id": 57, "annotations": []}
{"role": "student", "content": "ok", "session_id": 11041, "sequence_id": 58, "annotations": []}
{"role": "student", "content": "there", "session_id": 11041, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "You have the value for dh/dt, right?", "session_id": 11041, "sequence_id": 60, "annotations": []}
{"role": "student", "content": "1/2", "session_id": 11041, "sequence_id": 61, "annotations": []}
{"role": "student", "content": "no 27/8", "session_id": 11041, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "These related rate problems usually  concern an instant in time.", "session_id": 11041, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "dh/dt =1/2 cm/sec", "session_id": 11041, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "the units are important", "session_id": 11041, "sequence_id": 65, "annotations": []}
{"role": "student", "content": "okay but do we need to put the units right now, we can do so once we find the answer", "session_id": 11041, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "the instant in time they are interested in is when h = 27/8 cm", "session_id": 11041, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "If you were paying attention to units you would have realized that 27/8 cm could not be dh/dt, because dh/dt must have units of cm/sec", "session_id": 11041, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "At the instant we are interested in, when they telll us that h=27/8 cm, what is the radius, r?", "session_id": 11041, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "Typically, as in this case, you can use the formula to figure that out.", "session_id": 11041, "sequence_id": 70, "annotations": []}
{"role": "student", "content": "yes", "session_id": 11041, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "Any questions about that?", "session_id": 11041, "sequence_id": 72, "annotations": []}
{"role": "student", "content": "no so far so good", "session_id": 11041, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "OK, now you can solve for dr/dt", "session_id": 11041, "sequence_id": 74, "annotations": []}
{"role": "student", "content": "i got a lot of decimal points", "session_id": 11041, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "I would suggest using fractions", "session_id": 11041, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "but whatever your professor wants", "session_id": 11041, "sequence_id": 77, "annotations": []}
{"role": "student", "content": "yes i think the fraction is better", "session_id": 11041, "sequence_id": 78, "annotations": []}
{"role": "student", "content": "but how do I calculate it finding the fraction and not decimal", "session_id": 11041, "sequence_id": 79, "annotations": []}
{"role": "student", "content": "okay i see thanks, can we do another one?", "session_id": 11041, "sequence_id": 80, "annotations": []}
{"role": "volunteer", "content": "Ok, one more", "session_id": 11041, "sequence_id": 81, "annotations": []}
{"role": "student", "content": "alright thanks", "session_id": 11041, "sequence_id": 82, "annotations": []}
{"role": "volunteer", "content": "erase the board and then post your question", "session_id": 11041, "sequence_id": 83, "annotations": []}
{"role": "student", "content": "oh can you erase the board", "session_id": 11041, "sequence_id": 84, "annotations": []}
{"role": "student", "content": "i don't think i can do that", "session_id": 11041, "sequence_id": 85, "annotations": []}
{"role": "student", "content": "there", "session_id": 11041, "sequence_id": 86, "annotations": []}
{"role": "volunteer", "content": "You need to draw a diagrma", "session_id": 11041, "sequence_id": 87, "annotations": []}
{"role": "volunteer", "content": "Hello, are you there?", "session_id": 11041, "sequence_id": 88, "annotations": []}
{"role": "student", "content": "sorry, I should start writing to you when I'm doing other things, but yeah I'm back again sorry", "session_id": 11041, "sequence_id": 89, "annotations": []}
{"role": "volunteer", "content": "If you are too busy, perhaps you should do this another time.", "session_id": 11041, "sequence_id": 90, "annotations": []}
{"role": "student", "content": "no it's okay, i can continue now", "session_id": 11041, "sequence_id": 91, "annotations": []}
{"role": "volunteer", "content": "Do you understand the diagram (reallly, you should have drawn it.)", "session_id": 11041, "sequence_id": 92, "annotations": []}
{"role": "student", "content": "is the diagram above the water?", "session_id": 11041, "sequence_id": 93, "annotations": []}
{"role": "volunteer", "content": "No, the diagram is as if you were looking down from a plane.", "session_id": 11041, "sequence_id": 94, "annotations": []}
{"role": "volunteer", "content": "the beacon is 2 miles out at sea.", "session_id": 11041, "sequence_id": 95, "annotations": []}
{"role": "student", "content": "okay I see", "session_id": 11041, "sequence_id": 96, "annotations": []}
{"role": "volunteer", "content": "You need to convert the d\ud835\udf03/dt from rev/min to rad/min", "session_id": 11041, "sequence_id": 97, "annotations": []}
{"role": "student", "content": "okay so", "session_id": 11041, "sequence_id": 98, "annotations": []}
{"role": "student", "content": "would it be 5 rad/min", "session_id": 11041, "sequence_id": 99, "annotations": []}
{"role": "volunteer", "content": "How did you figure that out?  No, it isn't correct", "session_id": 11041, "sequence_id": 100, "annotations": []}
{"role": "student", "content": "would it be 20?", "session_id": 11041, "sequence_id": 101, "annotations": []}
{"role": "volunteer", "content": "it sounds like you are guessing.", "session_id": 11041, "sequence_id": 102, "annotations": []}
{"role": "volunteer", "content": "how are you figuring it out?", "session_id": 11041, "sequence_id": 103, "annotations": []}
{"role": "student", "content": "I thought 1 rev was like 2 rotations", "session_id": 11041, "sequence_id": 104, "annotations": []}
{"role": "student", "content": "like radians", "session_id": 11041, "sequence_id": 105, "annotations": []}
{"role": "volunteer", "content": "yes, 1 revolution is 2\ud835\udf0b", "session_id": 11041, "sequence_id": 106, "annotations": []}
{"role": "volunteer", "content": "so what would 10 rev/min be in rad/min?", "session_id": 11041, "sequence_id": 107, "annotations": []}
{"role": "student", "content": "i thought rad were pi, i guess not, so what is it?", "session_id": 11041, "sequence_id": 108, "annotations": []}
{"role": "student", "content": "what does rad turn into?", "session_id": 11041, "sequence_id": 109, "annotations": []}
{"role": "volunteer", "content": "radians doesnt turn into anything. Do you understand how I did that?", "session_id": 11041, "sequence_id": 110, "annotations": []}
{"role": "volunteer", "content": "i mulitpleed 10 rev/min times the conversion factor of 2pi rad/1 revolution", "session_id": 11041, "sequence_id": 111, "annotations": []}
{"role": "student", "content": "so I was right", "session_id": 11041, "sequence_id": 112, "annotations": []}
{"role": "volunteer", "content": "no you weren't", "session_id": 11041, "sequence_id": 113, "annotations": []}
{"role": "student", "content": "i said 20", "session_id": 11041, "sequence_id": 114, "annotations": []}
{"role": "student", "content": "didn't i?", "session_id": 11041, "sequence_id": 115, "annotations": []}
{"role": "volunteer", "content": "20 is wrong", "session_id": 11041, "sequence_id": 116, "annotations": []}
{"role": "student", "content": "well i just missed the pi", "session_id": 11041, "sequence_id": 117, "annotations": []}
{"role": "volunteer", "content": "it's 20\ud835\udf0b", "session_id": 11041, "sequence_id": 118, "annotations": []}
{"role": "volunteer", "content": "Ha", "session_id": 11041, "sequence_id": 119, "annotations": []}
{"role": "student", "content": "lol", "session_id": 11041, "sequence_id": 120, "annotations": []}
{"role": "student", "content": "okay so what's next", "session_id": 11041, "sequence_id": 121, "annotations": []}
{"role": "volunteer", "content": "Now you need an equation to differentiate", "session_id": 11041, "sequence_id": 122, "annotations": []}
{"role": "volunteer", "content": "You need to relate the distance along shore, which I have called x, to the angle theta", "session_id": 11041, "sequence_id": 123, "annotations": []}
{"role": "volunteer", "content": "give that a try.", "session_id": 11041, "sequence_id": 124, "annotations": []}
{"role": "student", "content": "so is the formula x=20pi rad/min?", "session_id": 11041, "sequence_id": 125, "annotations": []}
{"role": "student", "content": "wait a min", "session_id": 11041, "sequence_id": 126, "annotations": []}
{"role": "student", "content": "are we gonna use a trig equation?", "session_id": 11041, "sequence_id": 127, "annotations": []}
{"role": "volunteer", "content": "yes, that is a right triangle", "session_id": 11041, "sequence_id": 128, "annotations": []}
{"role": "student", "content": "so tan(theta) = x/2?", "session_id": 11041, "sequence_id": 129, "annotations": []}
{"role": "volunteer", "content": "Yes, you would use tangent. So, what would be the equation?", "session_id": 11041, "sequence_id": 130, "annotations": []}
{"role": "student", "content": "ima try smth", "session_id": 11041, "sequence_id": 131, "annotations": []}
{"role": "student", "content": "smth like this?", "session_id": 11041, "sequence_id": 132, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 11041, "sequence_id": 133, "annotations": []}
{"role": "student", "content": "now we find the derivative?", "session_id": 11041, "sequence_id": 134, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 11041, "sequence_id": 135, "annotations": []}
{"role": "volunteer", "content": "what is it that they want to know?", "session_id": 11041, "sequence_id": 136, "annotations": []}
{"role": "student", "content": "the rate of the point where the beam hits the shore", "session_id": 11041, "sequence_id": 137, "annotations": []}
{"role": "volunteer", "content": "the right side is incorect", "session_id": 11041, "sequence_id": 138, "annotations": []}
{"role": "student", "content": "what's incorrect?", "session_id": 11041, "sequence_id": 139, "annotations": []}
{"role": "volunteer", "content": "Well, you will get the right answer, but you really really don't need to use the quotient rule for that", "session_id": 11041, "sequence_id": 140, "annotations": []}
{"role": "volunteer", "content": "it's just 1/2 times x", "session_id": 11041, "sequence_id": 141, "annotations": []}
{"role": "student", "content": "so what u said basically means i was correct", "session_id": 11041, "sequence_id": 142, "annotations": []}
{"role": "volunteer", "content": "Yes, but noone would do that.", "session_id": 11041, "sequence_id": 143, "annotations": []}
{"role": "student", "content": "but okay I'll change to what u want then", "session_id": 11041, "sequence_id": 144, "annotations": []}
{"role": "volunteer", "content": "it's simplly 1/2 dx/dt", "session_id": 11041, "sequence_id": 145, "annotations": []}
{"role": "volunteer", "content": "a constant can come out in front of the derivative", "session_id": 11041, "sequence_id": 146, "annotations": []}
{"role": "volunteer", "content": "yes, see how much simpler that is?", "session_id": 11041, "sequence_id": 147, "annotations": []}
{"role": "student", "content": "yes it is professor lol", "session_id": 11041, "sequence_id": 148, "annotations": []}
{"role": "volunteer", "content": "You know d\ud835\udf03/dt", "session_id": 11041, "sequence_id": 149, "annotations": []}
{"role": "student", "content": "20 rad/min", "session_id": 11041, "sequence_id": 150, "annotations": []}
{"role": "volunteer", "content": "no, not 20 rad/min", "session_id": 11041, "sequence_id": 151, "annotations": []}
{"role": "student", "content": "10 rev/min", "session_id": 11041, "sequence_id": 152, "annotations": []}
{"role": "student", "content": "what was the point of finding the rad then", "session_id": 11041, "sequence_id": 153, "annotations": []}
{"role": "volunteer", "content": "it's 20\ud835\udf0b rad/min, not 20 rad/min", "session_id": 11041, "sequence_id": 154, "annotations": []}
{"role": "student", "content": "ohhhh", "session_id": 11041, "sequence_id": 155, "annotations": []}
{"role": "student", "content": "that again lol", "session_id": 11041, "sequence_id": 156, "annotations": []}
{"role": "volunteer", "content": "the pi makes a difference.", "session_id": 11041, "sequence_id": 157, "annotations": []}
{"role": "student", "content": "20pi rad/min", "session_id": 11041, "sequence_id": 158, "annotations": []}
{"role": "volunteer", "content": "again, there is a particular instant they are interested in", "session_id": 11041, "sequence_id": 159, "annotations": []}
{"role": "volunteer", "content": "you need to figure out the value of theta at that instant", "session_id": 11041, "sequence_id": 160, "annotations": []}
{"role": "student", "content": "2 miles", "session_id": 11041, "sequence_id": 161, "annotations": []}
{"role": "student", "content": "okay so how do we find the value of the thetha at 2 miles", "session_id": 11041, "sequence_id": 162, "annotations": []}
{"role": "volunteer", "content": "at the instant they are asking about, yes, x =2 miles", "session_id": 11041, "sequence_id": 163, "annotations": []}
{"role": "volunteer", "content": "at that instant, the two legs of the right triangle are both 2", "session_id": 11041, "sequence_id": 164, "annotations": []}
{"role": "volunteer", "content": "what then will be the hypotenuse of that triangle?", "session_id": 11041, "sequence_id": 165, "annotations": []}
{"role": "student", "content": "2", "session_id": 11041, "sequence_id": 166, "annotations": []}
{"role": "student", "content": "so is it 8", "session_id": 11041, "sequence_id": 167, "annotations": []}
{"role": "volunteer", "content": "No", "session_id": 11041, "sequence_id": 168, "annotations": []}
{"role": "volunteer", "content": "not 2", "session_id": 11041, "sequence_id": 169, "annotations": []}
{"role": "student", "content": "is it 8?", "session_id": 11041, "sequence_id": 170, "annotations": []}
{"role": "volunteer", "content": "is what 8?", "session_id": 11041, "sequence_id": 171, "annotations": []}
{"role": "student", "content": "the hypotenuse", "session_id": 11041, "sequence_id": 172, "annotations": []}
{"role": "volunteer", "content": "no,", "session_id": 11041, "sequence_id": 173, "annotations": []}
{"role": "volunteer", "content": "it would be the \u221a8", "session_id": 11041, "sequence_id": 174, "annotations": []}
{"role": "student", "content": "so 4", "session_id": 11041, "sequence_id": 175, "annotations": []}
{"role": "volunteer", "content": "no", "session_id": 11041, "sequence_id": 176, "annotations": []}
{"role": "student", "content": "nvm", "session_id": 11041, "sequence_id": 177, "annotations": []}
{"role": "student", "content": "i'm getting confused", "session_id": 11041, "sequence_id": 178, "annotations": []}
{"role": "student", "content": "can you write it on the board, i thought we'd use a^2+b^2=C^2 to find that", "session_id": 11041, "sequence_id": 179, "annotations": []}
{"role": "volunteer", "content": "yes, but you want to know c not c^2", "session_id": 11041, "sequence_id": 180, "annotations": []}
{"role": "student", "content": "why are we find the square root tho?", "session_id": 11041, "sequence_id": 181, "annotations": []}
{"role": "volunteer", "content": "the pythagorean theorem is a^2+b^2=C^2 .  Then to find c, the hypotenuse, you take the square root of c^2", "session_id": 11041, "sequence_id": 182, "annotations": []}
{"role": "student", "content": "ok", "session_id": 11041, "sequence_id": 183, "annotations": []}
{"role": "volunteer", "content": "so what is the sec(\ud835\udf03) at the instant they are asking about?", "session_id": 11041, "sequence_id": 184, "annotations": []}
{"role": "student", "content": "sec (2) do i need to go to desmos?", "session_id": 11041, "sequence_id": 185, "annotations": []}
{"role": "volunteer", "content": "no", "session_id": 11041, "sequence_id": 186, "annotations": []}
{"role": "volunteer", "content": "just use the triangle that I drew", "session_id": 11041, "sequence_id": 187, "annotations": []}
{"role": "volunteer", "content": "what is the cosine of theta?", "session_id": 11041, "sequence_id": 188, "annotations": []}
{"role": "volunteer", "content": "sec(\ud835\udf03) =\u221a2", "session_id": 11041, "sequence_id": 189, "annotations": []}
{"role": "student", "content": "so then would it be 2", "session_id": 11041, "sequence_id": 190, "annotations": []}
{"role": "student", "content": "for sec^2", "session_id": 11041, "sequence_id": 191, "annotations": []}
{"role": "volunteer", "content": "so sec^2 =2 yes", "session_id": 11041, "sequence_id": 192, "annotations": []}
{"role": "student", "content": "80pi", "session_id": 11041, "sequence_id": 193, "annotations": []}
{"role": "student", "content": "answer", "session_id": 11041, "sequence_id": 194, "annotations": []}
{"role": "volunteer", "content": "80\ud835\udf0b miles /minute", "session_id": 11041, "sequence_id": 195, "annotations": []}
{"role": "volunteer", "content": "That's it.", "session_id": 11041, "sequence_id": 196, "annotations": []}
{"role": "student", "content": "right", "session_id": 11041, "sequence_id": 197, "annotations": []}
{"role": "student", "content": "thx", "session_id": 11041, "sequence_id": 198, "annotations": []}
{"role": "volunteer", "content": "You are welcome", "session_id": 11041, "sequence_id": 199, "annotations": []}
{"role": "volunteer", "content": "have a good weekend.", "session_id": 11041, "sequence_id": 200, "annotations": []}
{"role": "volunteer", "content": "bye", "session_id": 11041, "sequence_id": 201, "annotations": []}
{"role": "student", "content": "you too, bye", "session_id": 11041, "sequence_id": 202, "annotations": []}
{"role": "volunteer", "content": "Hi Ben", "session_id": 11045, "sequence_id": 0, "annotations": [{"pii_type": "PERSON", "surrogate": "Ben", "start": 3, "end": 6}]}
{"role": "student", "content": "Hello,", "session_id": 11045, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "how are you?", "session_id": 11045, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "Doing well, thanks. You?", "session_id": 11045, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "doing fine alsp", "session_id": 11045, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "also*", "session_id": 11045, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "so today we'll be working on applied related rates, I'm kind of confused about it", "session_id": 11045, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "OK. Can you upload the problem?", "session_id": 11045, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "yes there are a bunch but let's go one by one", "session_id": 11045, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "I'm reading it...", "session_id": 11045, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "ok", "session_id": 11045, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "Can you give me 5 minutes to solve, and then I'll walk you through the solution?", "session_id": 11045, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "yes", "session_id": 11045, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "We can start.", "session_id": 11045, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "ok", "session_id": 11045, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "It's a long problem with a few steps.", "session_id": 11045, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "First step is to draw a diagram. I'll show you.", "session_id": 11045, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "Do you see it?", "session_id": 11045, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "yes and I'm not going to lie, it kinda looks like the one I drew. but i have couple questions. How did u figure out that the man should be standing where he and not far to the right for example.com?", "session_id": 11045, "sequence_id": 18, "annotations": [{"pii_type": "URL", "surrogate": "example.com", "start": 186, "end": 197}]}
{"role": "student", "content": "e.g.*", "session_id": 11045, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "The figure can be drawn in more than one way. But the man must be *between* the light and the building.", "session_id": 11045, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "oh okay, and how abt the 3ft/s, why did you not illustrate it?", "session_id": 11045, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "That's the next step. Let's write what we know. The man is approaching the building, so dx/dt = -3, correct?", "session_id": 11045, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "wait why is it -3?", "session_id": 11045, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "As the man nears the building, can you see that \"x\" is shinking?", "session_id": 11045, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "So the rate of change will be negative.", "session_id": 11045, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "yes", "session_id": 11045, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "does specifying his height here matter/", "session_id": 11045, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "Yes, it does. The man is x = 10 ft away from the building. We need to find the height of the shadow, h = ? Can you do it?", "session_id": 11045, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "wait one min, let's go step by step, on the word problem is also talks about the shadow of the man and that's also what we are finding, so shouldn't also illustrate that, and i think writing on the picture is 5foot tall is also important", "session_id": 11045, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "Yes, I'll show the 5 ft height.", "session_id": 11045, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "\"h\" is the height of the shadow.", "session_id": 11045, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "his shadow is standing, i usually think shadows are on the ground", "session_id": 11045, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "Good question. The problem tells us the light is on the *ground*, correct?", "session_id": 11045, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "yes", "session_id": 11045, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "So the light cannot cast a shadow on the ground, but only on the building.", "session_id": 11045, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "The problem says the shadow is on the *side of the building*.", "session_id": 11045, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "yesss, by side does it mean, on the building like the reflection is on the building wall?", "session_id": 11045, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "Yes.", "session_id": 11045, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "oh okay, but now we need to find the formula right", "session_id": 11045, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "Yes. We know x = 10 ft. h = ?", "session_id": 11045, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "I was get confused in this part as to know what to use, would it like be the pythagorean theorem?", "session_id": 11045, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "Are you familiar with \"similar triangles\", from geometry?", "session_id": 11045, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "nope, not gonna lie, I never liked geometry that's why things are confusing", "session_id": 11045, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "I'll explain with a diagram lower on the board.", "session_id": 11045, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "ok", "session_id": 11045, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "We have big \"blue\" triangle and a smaller \"green\" triangle. OK so far?", "session_id": 11045, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "yope", "session_id": 11045, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "Both are \"right triangles\" (one angle is 90 degrees), and both have the same angle, \u03b8, shown in red. So they are \"similar\".", "session_id": 11045, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "yes", "session_id": 11045, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "In that case, we have the relationship between the sides of the two triangles (blue and green). See the lowest diagram. a/b = c/d.", "session_id": 11045, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "OK so far?", "session_id": 11045, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "yea", "session_id": 11045, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "We'll apply this to your problem. We identify: a = h, b = 30, c = 5 and d = (30-x).", "session_id": 11045, "sequence_id": 53, "annotations": []}
{"role": "student", "content": "ok", "session_id": 11045, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "Next, we write the ratios.", "session_id": 11045, "sequence_id": 55, "annotations": []}
{"role": "student", "content": "ok", "session_id": 11045, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "That's the last equation. If x = 10, can you solve for h = ?", "session_id": 11045, "sequence_id": 57, "annotations": []}
{"role": "student", "content": "there", "session_id": 11045, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "Awesome. h = 7.5 ft. We'll need that for later.", "session_id": 11045, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "What the question is asking is dh/dt = ?", "session_id": 11045, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "How can we find it?", "session_id": 11045, "sequence_id": 61, "annotations": []}
{"role": "student", "content": "it's the derivative of the formula we got", "session_id": 11045, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "Yes. we need to find the derivative. We start with the equation boxed in green. Do you see it?", "session_id": 11045, "sequence_id": 63, "annotations": []}
{"role": "student", "content": "yes", "session_id": 11045, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "We know dx/dt, and dh/dt is \"related\" to it. First we re-arrange the equation.", "session_id": 11045, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "OK so far?", "session_id": 11045, "sequence_id": 66, "annotations": []}
{"role": "student", "content": "yes", "session_id": 11045, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "On the left side, we have a product to two functions of \"x\": h(x) and (30-x). Can you use the product rule?", "session_id": 11045, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "product *of two...", "session_id": 11045, "sequence_id": 69, "annotations": []}
{"role": "student", "content": "it kinda looks like the chain rule to me", "session_id": 11045, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "Yes, we also need the chain rule.", "session_id": 11045, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "The product is u*v, where u = h and v = (30-x). What would be u' = ?", "session_id": 11045, "sequence_id": 72, "annotations": []}
{"role": "student", "content": "chain rule would be easier tho like", "session_id": 11045, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "We cannot use the chain rule directly with a product. We must start with the product rule.", "session_id": 11045, "sequence_id": 74, "annotations": []}
{"role": "volunteer", "content": "The last equation is correct, except that, instead of (-1), we have (-x'). Because the derivative of x is x'.", "session_id": 11045, "sequence_id": 75, "annotations": []}
{"role": "student", "content": "but the x' becomes 1", "session_id": 11045, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "We're differentiating with respect to t (time) and not x. Both h and x are functions of t. h' = dh/dt, x' = dx/dt. So x' is not \"1\".", "session_id": 11045, "sequence_id": 77, "annotations": []}
{"role": "student", "content": "ok", "session_id": 11045, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "On the right-hand side of the equation, we have 5 * 30. What is the derivative of 5 * 30 ?", "session_id": 11045, "sequence_id": 79, "annotations": []}
{"role": "student", "content": "0", "session_id": 11045, "sequence_id": 80, "annotations": []}
{"role": "volunteer", "content": "Good.", "session_id": 11045, "sequence_id": 81, "annotations": []}
{"role": "student", "content": "i have a question", "session_id": 11045, "sequence_id": 82, "annotations": []}
{"role": "student", "content": "why did you need to rearrange the thing to h(30-x)=5(30) and not just keep the h/30= 5/30-x", "session_id": 11045, "sequence_id": 83, "annotations": []}
{"role": "volunteer", "content": "Initially, we have (30-x) at the bottom of a fraction. It's much easier to find the derivative if we move (30-x) to the top.", "session_id": 11045, "sequence_id": 84, "annotations": []}
{"role": "student", "content": "oh okay", "session_id": 11045, "sequence_id": 85, "annotations": []}
{"role": "volunteer", "content": "We could have left (30-x) at the bottom and used the quotient rule, but it's more complicated.", "session_id": 11045, "sequence_id": 86, "annotations": []}
{"role": "student", "content": "ok", "session_id": 11045, "sequence_id": 87, "annotations": []}
{"role": "volunteer", "content": "In the last equation, you know h = 7.5, x = 10, x' = -3. Can you solve for h' = ?", "session_id": 11045, "sequence_id": 88, "annotations": []}
{"role": "volunteer", "content": "Beautiful. dh/dt = h' = -1.125 ft/s. That's the solution. The shadow is shrinking because of the negative rate.", "session_id": 11045, "sequence_id": 89, "annotations": []}
{"role": "student", "content": "yes but for some reason the answer only accepts the positive value of that", "session_id": 11045, "sequence_id": 90, "annotations": []}
{"role": "volunteer", "content": "That's because the problem says it's \"shrinking\". So you enter a positive value.", "session_id": 11045, "sequence_id": 91, "annotations": []}
{"role": "volunteer", "content": "If the question asks just for the \"rate\", you'd enter -1.125. But the rate at which it's \"shrinking\" would be the positive number. It's a bit confusing.", "session_id": 11045, "sequence_id": 92, "annotations": []}
{"role": "student", "content": "oh ok", "session_id": 11045, "sequence_id": 93, "annotations": []}
{"role": "student", "content": "let me send another one, and let", "session_id": 11045, "sequence_id": 94, "annotations": []}
{"role": "volunteer", "content": "That's all the time I have for now.", "session_id": 11045, "sequence_id": 95, "annotations": []}
{"role": "student", "content": "me work on it just stop me when I'm doing smth wrong", "session_id": 11045, "sequence_id": 96, "annotations": []}
{"role": "student", "content": "oh really", "session_id": 11045, "sequence_id": 97, "annotations": []}
{"role": "student", "content": "we can't do another one?", "session_id": 11045, "sequence_id": 98, "annotations": []}
{"role": "volunteer", "content": "I'm out of time unfortunately. But it was a fascinating problem. I'll be back online later.", "session_id": 11045, "sequence_id": 99, "annotations": []}
{"role": "student", "content": "ok thanks", "session_id": 11045, "sequence_id": 100, "annotations": []}
{"role": "volunteer", "content": "You're welcome. Enjoy the rest of your day.", "session_id": 11045, "sequence_id": 101, "annotations": []}
{"role": "student", "content": "you too", "session_id": 11045, "sequence_id": 102, "annotations": []}
{"role": "student", "content": "Hi there!", "session_id": 10955, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "hii! what do u need help with?", "session_id": 10955, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "I just need help checking my answers for my math homework :)", "session_id": 10955, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "sure, no problem!", "session_id": 10955, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "Okay awesome, i'll put the first question on the screen. Just gimmie once sec", "session_id": 10955, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "okieee", "session_id": 10955, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "There you good", "session_id": 10955, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "go*", "session_id": 10955, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "okay!", "session_id": 10955, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "yes thats right", "session_id": 10955, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "Mia", "session_id": 10955, "sequence_id": 10, "annotations": [{"pii_type": "PERSON", "surrogate": "Mia", "start": 0, "end": 3}]}
{"role": "student", "content": "okay next one", "session_id": 10955, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "okii one sec", "session_id": 10955, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "okays", "session_id": 10955, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "if im not mistaken, this should be the third one :)", "session_id": 10955, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "first we divide 0.7 from both sides, then we transpose b, then divide r", "session_id": 10955, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "ohh okay!", "session_id": 10955, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "Next one :3", "session_id": 10955, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "yess thats right", "session_id": 10955, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "Christian", "session_id": 10955, "sequence_id": 19, "annotations": [{"pii_type": "NRP", "surrogate": "Christian", "start": 0, "end": 9}]}
{"role": "volunteer", "content": "this one should be the first one :)", "session_id": 10955, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "since to isolate y, we divide pi(x) from both sides", "session_id": 10955, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "Ahhh okay", "session_id": 10955, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "got it", "session_id": 10955, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "yuppp", "session_id": 10955, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "Next next", "session_id": 10955, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "i thiinkk this should the answer, may i ask how u got this?", "session_id": 10955, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "148...", "session_id": 10955, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "I got like $71.50 but I just put $73 because that's the closest option 0-0", "session_id": 10955, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "holy fail", "session_id": 10955, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "im pretty sure we just substitute 4 into the equation here haha, but no worries", "session_id": 10955, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "Okaaaays", "session_id": 10955, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "this ones right!", "session_id": 10955, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "awesomeee", "session_id": 10955, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": ":D", "session_id": 10955, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "did u just substitute 3 here?", "session_id": 10955, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "uuuhhhhh", "session_id": 10955, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "No I don't think so", "session_id": 10955, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "okay yup this is right", "session_id": 10955, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "Hmm ok", "session_id": 10955, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "yep", "session_id": 10955, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "dis is good", "session_id": 10955, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "Liam", "session_id": 10955, "sequence_id": 42, "annotations": [{"pii_type": "PERSON", "surrogate": "Liam", "start": 0, "end": 4}]}
{"role": "volunteer", "content": "i think this should be the 3rd, the -3 and 3", "session_id": 10955, "sequence_id": 43, "annotations": []}
{"role": "student", "content": "Alrighty!", "session_id": 10955, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "right Muslim", "session_id": 10955, "sequence_id": 45, "annotations": [{"pii_type": "NRP", "surrogate": "Muslim", "start": 6, "end": 12}]}
{"role": "student", "content": "Sophia", "session_id": 10955, "sequence_id": 46, "annotations": [{"pii_type": "PERSON", "surrogate": "Sophia", "start": 0, "end": 6}]}
{"role": "volunteer", "content": "righttt", "session_id": 10955, "sequence_id": 47, "annotations": []}
{"role": "student", "content": "Nice", "session_id": 10955, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "this is right as well :)", "session_id": 10955, "sequence_id": 49, "annotations": []}
{"role": "student", "content": "Yay", "session_id": 10955, "sequence_id": 50, "annotations": []}
{"role": "student", "content": "wait hold on", "session_id": 10955, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "Noah", "session_id": 10955, "sequence_id": 52, "annotations": [{"pii_type": "PERSON", "surrogate": "Noah", "start": 0, "end": 4}]}
{"role": "volunteer", "content": "yuppp", "session_id": 10955, "sequence_id": 53, "annotations": []}
{"role": "student", "content": "Greenville", "session_id": 10955, "sequence_id": 54, "annotations": [{"pii_type": "LOCATION", "surrogate": "Greenville", "start": 0, "end": 10}]}
{"role": "volunteer", "content": "i thiink this is the 2nd", "session_id": 10955, "sequence_id": 55, "annotations": []}
{"role": "student", "content": "Olivia", "session_id": 10955, "sequence_id": 56, "annotations": [{"pii_type": "PERSON", "surrogate": "Olivia", "start": 0, "end": 6}]}
{"role": "student", "content": "This is the last question :)", "session_id": 10955, "sequence_id": 57, "annotations": []}
{"role": "student", "content": "Thank you for all of your help", "session_id": 10955, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "you're welcome!!! :))", "session_id": 10955, "sequence_id": 59, "annotations": []}
{"role": "student", "content": "Bye bye", "session_id": 10955, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "William", "session_id": 10955, "sequence_id": 61, "annotations": [{"pii_type": "PERSON", "surrogate": "William", "start": 0, "end": 7}]}
{"role": "student", "content": ":)", "session_id": 10955, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "Hello, Chris! How can I help you?", "session_id": 11105, "sequence_id": 0, "annotations": [{"pii_type": "PERSON", "surrogate": "Chris", "start": 7, "end": 12}]}
{"role": "student", "content": "hi so I'm really struggling , the quarter is about to end but I'm failing algebra one, I'm not bad like I showed improvement but there's always a mistake and I did my retake today and I think I did bad on it too, I froze and after I kinda had a a nice attack, I wanna feel used to using elimination and substitution, can you help me?", "session_id": 11105, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "panic*", "session_id": 11105, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "Oh, no! I'm so sorry to hear that! :(\nI'd be happy to help you learn and improve! You got this, Chris!! :)", "session_id": 11105, "sequence_id": 3, "annotations": [{"pii_type": "PERSON", "surrogate": "Chris", "start": 96, "end": 101}]}
{"role": "volunteer", "content": "Please send me the problem you need help with :)", "session_id": 11105, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "okay so, the problem was 3x + 2y = 32", "session_id": 11105, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "I got it from 2 equations and converted it right but I forgot what else to do afterwards", "session_id": 11105, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "Can you send me the other 2 equations?", "session_id": 11105, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "I think it were, okay wait I kind of forgot it was about family one buying 3 or 4 medium pizzas, and 2 large pizzas and family 2 buying 2 large pizzas and 3 medium?", "session_id": 11105, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "something like that", "session_id": 11105, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "and family one spent 48", "session_id": 11105, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "family 2 spent 64", "session_id": 11105, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "Hmm okay, can you set up the 2 equations for me? If you need any help, let me know!", "session_id": 11105, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "ok", "session_id": 11105, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "this? I really don't remember", "session_id": 11105, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "the actual thing", "session_id": 11105, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "It's okay! From the information you've given me, I'd say you're almost there!", "session_id": 11105, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "So you said 2 families went out to buy pizza of different sizes. Large (x) and medium (y) (we can switch around the variables, doesn't really matter). Then, we also have the amount of money each family spent on the pizza.", "session_id": 11105, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "yea", "session_id": 11105, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "And so we would set up our equation so that we have how much money each family spent on pizza", "session_id": 11105, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "This would be the best way to find our x and y values", "session_id": 11105, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "Any questions so far?", "session_id": 11105, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "none, I understand", "session_id": 11105, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "I'm glad. Can you explain to me the first equation. Why you wrote what you wrote?", "session_id": 11105, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "I wrote the first equation like that and made x the medium pizzas price and y the large pizza's price, I took 3 as their amount and 4 as their amount for the large and it equals what they sent ($48)", "session_id": 11105, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "But you told me they bought 3 or 4 medium pizzas and 2 large pizzas which costed them $48, is that right?", "session_id": 11105, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "yea", "session_id": 11105, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "Is that what you wrote?", "session_id": 11105, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "no not really", "session_id": 11105, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "It's okay! Can you fix it? :)", "session_id": 11105, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "Also, lets assume they bought 4 large pizzas instead of 3 to avoid decimals.", "session_id": 11105, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "ok", "session_id": 11105, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "medium* not large sorry!", "session_id": 11105, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "ok", "session_id": 11105, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "Perfect! Now, can you explain the second equation to me?", "session_id": 11105, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "Wait, are you sure in the problem, those were the right numbers?", "session_id": 11105, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "Because the solution does not make sense in this case", "session_id": 11105, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "the second is because the 2nd family bought 3 mediums or 4 but I wasn't sure either so that amount by the unknown price and 2 larges to the amount but I think in the question it was 2x + 3y", "session_id": 11105, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "oh wait I have the actual equation written hold on I think", "session_id": 11105, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "Yes, if you can provide the actual problem, I'd really appreciate it :)", "session_id": 11105, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "it was 3x + 2y = 48 and 2x + 4y = 64 that's what I wrote on the test and got right", "session_id": 11105, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "That's perfect!", "session_id": 11105, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "so it was 3 medium and 2 large", "session_id": 11105, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "Yes", "session_id": 11105, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "I want you to write 2x + 4y = 64 on the top", "session_id": 11105, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "okk", "session_id": 11105, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "wait actually, leave it", "session_id": 11105, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "So, any ideas on what we're doing now?", "session_id": 11105, "sequence_id": 47, "annotations": []}
{"role": "student", "content": "all I know is somewhere in there I'm dividing 64 by 2 and to get the actual equation I think I subtract or multiply but I'm not sure", "session_id": 11105, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "Yes, you're on the right track!", "session_id": 11105, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "You're supposed to divide the second equation by 2. Do you know why?", "session_id": 11105, "sequence_id": 50, "annotations": []}
{"role": "student", "content": "no, not really", "session_id": 11105, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "is it because uhm 4 and 2 are equivalent or does it have nothing to do with it", "session_id": 11105, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "You're on the right track again...", "session_id": 11105, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "If you divide the 2nd equation by 2, you can get rid of the y's and solve for x :)", "session_id": 11105, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "So can you do that for me?", "session_id": 11105, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "If you have any questions/doubts let me know! :)", "session_id": 11105, "sequence_id": 56, "annotations": []}
{"role": "student", "content": "ohh", "session_id": 11105, "sequence_id": 57, "annotations": []}
{"role": "student", "content": "ok", "session_id": 11105, "sequence_id": 58, "annotations": []}
{"role": "student", "content": "wait for 4y do I get 2y and then subtract", "session_id": 11105, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "yes!", "session_id": 11105, "sequence_id": 60, "annotations": []}
{"role": "student", "content": "ok", "session_id": 11105, "sequence_id": 61, "annotations": []}
{"role": "student", "content": "so 2x = 32?? or 2x + 2y = 32", "session_id": 11105, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "very close! it would be x + 2y = 32", "session_id": 11105, "sequence_id": 63, "annotations": []}
{"role": "student", "content": "ohh ok", "session_id": 11105, "sequence_id": 64, "annotations": []}
{"role": "student", "content": "ok", "session_id": 11105, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "So what's the next step?", "session_id": 11105, "sequence_id": 66, "annotations": []}
{"role": "student", "content": "solving for x, I take 2y on both sides and divide 32 by what I divide 2y by which is 2", "session_id": 11105, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "not exactly, you need to subtract the 2nd equation from the first one", "session_id": 11105, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "Because we're trying to get rid of the y and solve for x", "session_id": 11105, "sequence_id": 69, "annotations": []}
{"role": "student", "content": "so 3x - x, 2y - 2y ?", "session_id": 11105, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 11105, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "and 48 - 32", "session_id": 11105, "sequence_id": 72, "annotations": []}
{"role": "student", "content": "oh ok", "session_id": 11105, "sequence_id": 73, "annotations": []}
{"role": "student", "content": "so 2x = 16", "session_id": 11105, "sequence_id": 74, "annotations": []}
{"role": "volunteer", "content": "so what's the next step?", "session_id": 11105, "sequence_id": 75, "annotations": []}
{"role": "student", "content": "divide 16 by 2 because x times 2 is 16", "session_id": 11105, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "that is correct! :)", "session_id": 11105, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "great work!", "session_id": 11105, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "so the answer is?", "session_id": 11105, "sequence_id": 79, "annotations": []}
{"role": "student", "content": "8", "session_id": 11105, "sequence_id": 80, "annotations": []}
{"role": "volunteer", "content": "yep! :)", "session_id": 11105, "sequence_id": 81, "annotations": []}
{"role": "student", "content": "so I plug it in to get y?", "session_id": 11105, "sequence_id": 82, "annotations": []}
{"role": "volunteer", "content": "yep!", "session_id": 11105, "sequence_id": 83, "annotations": []}
{"role": "student", "content": "ok", "session_id": 11105, "sequence_id": 84, "annotations": []}
{"role": "student", "content": "and 48 - 24 gets me 2y?", "session_id": 11105, "sequence_id": 85, "annotations": []}
{"role": "volunteer", "content": "yup!", "session_id": 11105, "sequence_id": 86, "annotations": []}
{"role": "student", "content": "okk", "session_id": 11105, "sequence_id": 87, "annotations": []}
{"role": "student", "content": "y = 12", "session_id": 11105, "sequence_id": 88, "annotations": []}
{"role": "volunteer", "content": "perfect!", "session_id": 11105, "sequence_id": 89, "annotations": []}
{"role": "volunteer", "content": "Any questions?", "session_id": 11105, "sequence_id": 90, "annotations": []}
{"role": "student", "content": "okay noted, I understand a bit more. could I get 2 different equations and try solving using elim?", "session_id": 11105, "sequence_id": 91, "annotations": []}
{"role": "volunteer", "content": "of course! Do you have any or should I find them?", "session_id": 11105, "sequence_id": 92, "annotations": []}
{"role": "student", "content": "I don't have any , could you please?", "session_id": 11105, "sequence_id": 93, "annotations": []}
{"role": "volunteer", "content": "Okay, give me one moment! :)", "session_id": 11105, "sequence_id": 94, "annotations": []}
{"role": "volunteer", "content": "Let's try this one!", "session_id": 11105, "sequence_id": 95, "annotations": []}
{"role": "student", "content": "ok", "session_id": 11105, "sequence_id": 96, "annotations": []}
{"role": "student", "content": "wait so my first step is not dividing ? or can I solve for y first. 2x divided by 2 and 19 divided by 2?", "session_id": 11105, "sequence_id": 97, "annotations": []}
{"role": "student", "content": "or instead add", "session_id": 11105, "sequence_id": 98, "annotations": []}
{"role": "volunteer", "content": "I think the easiest first step here would be to add y", "session_id": 11105, "sequence_id": 99, "annotations": []}
{"role": "student", "content": "ok so add the equations together?", "session_id": 11105, "sequence_id": 100, "annotations": []}
{"role": "volunteer", "content": "yep!", "session_id": 11105, "sequence_id": 101, "annotations": []}
{"role": "student", "content": "ok", "session_id": 11105, "sequence_id": 102, "annotations": []}
{"role": "student", "content": "3x = 30 because x+ 2x = 3x and -y + y = 0", "session_id": 11105, "sequence_id": 103, "annotations": []}
{"role": "student", "content": "and then", "session_id": 11105, "sequence_id": 104, "annotations": []}
{"role": "student", "content": "divide by 3", "session_id": 11105, "sequence_id": 105, "annotations": []}
{"role": "volunteer", "content": "yup!", "session_id": 11105, "sequence_id": 106, "annotations": []}
{"role": "student", "content": "30 divided by 3 is", "session_id": 11105, "sequence_id": 107, "annotations": []}
{"role": "student", "content": "10", "session_id": 11105, "sequence_id": 108, "annotations": []}
{"role": "volunteer", "content": "that's perfect!", "session_id": 11105, "sequence_id": 109, "annotations": []}
{"role": "student", "content": "ok I plug it in and solve for y now", "session_id": 11105, "sequence_id": 110, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 11105, "sequence_id": 111, "annotations": []}
{"role": "student", "content": "wait", "session_id": 11105, "sequence_id": 112, "annotations": []}
{"role": "student", "content": "y is negative or no?", "session_id": 11105, "sequence_id": 113, "annotations": []}
{"role": "volunteer", "content": "yes!", "session_id": 11105, "sequence_id": 114, "annotations": []}
{"role": "student", "content": "y is -1?", "session_id": 11105, "sequence_id": 115, "annotations": []}
{"role": "volunteer", "content": "that's correct!", "session_id": 11105, "sequence_id": 116, "annotations": []}
{"role": "volunteer", "content": "Do you have any questions?", "session_id": 11105, "sequence_id": 117, "annotations": []}
{"role": "student", "content": "okay, why was just adding immediately easier than the other one, because we had to divide and subtract then add but for this we didnt", "session_id": 11105, "sequence_id": 118, "annotations": []}
{"role": "volunteer", "content": "Some of them are more straightforward than others. You just have to think to yourself \"hmmm what can I eliminate first? What can I eliminate more easily?\" Do you understand what I mean?", "session_id": 11105, "sequence_id": 119, "annotations": []}
{"role": "student", "content": "oh ok, ohh so since getting rid of y for the other was the best way we had to divide to get what x was?", "session_id": 11105, "sequence_id": 120, "annotations": []}
{"role": "volunteer", "content": "yep!", "session_id": 11105, "sequence_id": 121, "annotations": []}
{"role": "student", "content": "okay got it, can we work on one last one and then work on substitution?", "session_id": 11105, "sequence_id": 122, "annotations": []}
{"role": "volunteer", "content": "Unfortunately, I cannot stay any longer.", "session_id": 11105, "sequence_id": 123, "annotations": []}
{"role": "volunteer", "content": "I have to go somewhere.", "session_id": 11105, "sequence_id": 124, "annotations": []}
{"role": "volunteer", "content": "I'm so sorry about that.", "session_id": 11105, "sequence_id": 125, "annotations": []}
{"role": "student", "content": "ohh ok", "session_id": 11105, "sequence_id": 126, "annotations": []}
{"role": "student", "content": "it's fine you helped me so so much", "session_id": 11105, "sequence_id": 127, "annotations": []}
{"role": "volunteer", "content": "I'm so glad I could be of help! :)", "session_id": 11105, "sequence_id": 128, "annotations": []}
{"role": "student", "content": "thank you !! have a good evening though", "session_id": 11105, "sequence_id": 129, "annotations": []}
{"role": "volunteer", "content": "You too! Good luck on your journey with math!", "session_id": 11105, "sequence_id": 130, "annotations": []}
{"role": "volunteer", "content": "You're a very bright student and I'm sure you'll improve immensely if you keep putting in work! :)", "session_id": 11105, "sequence_id": 131, "annotations": []}
{"role": "student", "content": "thank you, I will!", "session_id": 11105, "sequence_id": 132, "annotations": []}
{"role": "volunteer", "content": "Bye, bye!", "session_id": 11105, "sequence_id": 133, "annotations": []}
{"role": "student", "content": "bye!", "session_id": 11105, "sequence_id": 134, "annotations": []}
{"role": "volunteer", "content": "hello", "session_id": 11109, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "How may I help you?", "session_id": 11109, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "hi so can u help me with how to figure out what shape is on my hw", "session_id": 11109, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "can you put it on the board?", "session_id": 11109, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "yea", "session_id": 11109, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "Is it possible for you to upload a picture of it?", "session_id": 11109, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "sorry im not good at drawing but yea", "session_id": 11109, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "it\u2019s the last question", "session_id": 11109, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "That shape is a parallelogram", "session_id": 11109, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "oh ok and also can u help me with what the shape is next to that one?", "session_id": 11109, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "i tried asking someone but they didn\u2019t rlly help", "session_id": 11109, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "There isn't even information to be sure, but it could also be a parallelogram or a trapezoid", "session_id": 11109, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "most likely a trapezoid", "session_id": 11109, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "oh ok and i have one more shape can u help me with it?", "session_id": 11109, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "can you upload it also", "session_id": 11109, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "yea", "session_id": 11109, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "just the first one", "session_id": 11109, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "The first two shapes are both trapezoids", "session_id": 11109, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "oh ok", "session_id": 11109, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "thanks for helping me", "session_id": 11109, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "you are very welcome", "session_id": 11109, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "have a good evening.", "session_id": 11109, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "bye", "session_id": 11109, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "Hello, what can I help with today?", "session_id": 11153, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "hello", "session_id": 11153, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "I have plotted the first two points", "session_id": 11153, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "I believe they are right", "session_id": 11153, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "Ok let me take a look", "session_id": 11153, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "I cannot figure the last one", "session_id": 11153, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "Okay so do you know the easiest way to do reflection over y = -x?", "session_id": 11153, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "no", "session_id": 11153, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "i do not", "session_id": 11153, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "Ok I am pretty sure for any point you can just swap the coordinates (x and y) and then change the signs of each", "session_id": 11153, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "So for example, D is (-10, -7)", "session_id": 11153, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "what would it become", "session_id": 11153, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "7,10", "session_id": 11153, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "Yes", "session_id": 11153, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "I think you drew it at 9,10", "session_id": 11153, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "Okay and now for the other points E and F lets check them using the method", "session_id": 11153, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "So E is (-3, -7) right?", "session_id": 11153, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "After reflecting over y = -x what would it become", "session_id": 11153, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "so 7,3", "session_id": 11153, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "Yes thats right", "session_id": 11153, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "Okay next is F", "session_id": 11153, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "can you do this one and ill check if its right?", "session_id": 11153, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "-3,9", "session_id": 11153, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "yes thats right", "session_id": 11153, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "so the points are right", "session_id": 11153, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "Yes I believe so", "session_id": 11153, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "Did this help?", "session_id": 11153, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "Okay this one is kinda like the same process", "session_id": 11153, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "before we swapped x and y and changed the sign because y = -x", "session_id": 11153, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "We only had to change the sign because x is negative", "session_id": 11153, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "but now we don't", "session_id": 11153, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "Yes so since its just y = x what do you think we can do", "session_id": 11153, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "r is -10,8", "session_id": 11153, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "Yes", "session_id": 11153, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "So you just have to swap, no switching of signs", "session_id": 11153, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "s is -3,8", "session_id": 11153, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "Yep", "session_id": 11153, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "-8,-2 for t", "session_id": 11153, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "Yes that looks right to me", "session_id": 11153, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "Ok this is the same reflection y = x", "session_id": 11153, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "is that right?", "session_id": 11153, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "This looks right", "session_id": 11153, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "Great this one looks right too", "session_id": 11153, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "is that right?", "session_id": 11153, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "So for reflection over x = -1 you just have to multiply each x by -1", "session_id": 11153, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "So like L is (-3, 4) we take -3 (-1) so its just (3,4) now", "session_id": 11153, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "That looks correct now", "session_id": 11153, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "Hm did it say it was wrong?", "session_id": 11153, "sequence_id": 47, "annotations": []}
{"role": "student", "content": "yes", "session_id": 11153, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "but because it was only supposed to be two points away from the line", "session_id": 11153, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "Oh okay I think i get where we messed up, sorry about that", "session_id": 11153, "sequence_id": 50, "annotations": []}
{"role": "student", "content": "i did three", "session_id": 11153, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "it is oki we all end up with them", "session_id": 11153, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "Okay", "session_id": 11153, "sequence_id": 53, "annotations": []}
{"role": "student", "content": "is that right?", "session_id": 11153, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "Let me check really quick", "session_id": 11153, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "Yes i think so", "session_id": 11153, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "Ok this looks good too", "session_id": 11153, "sequence_id": 57, "annotations": []}
{"role": "student", "content": "i multiply by one?", "session_id": 11153, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "Not quite i think we messed up one part last time let me double check", "session_id": 11153, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "Okay the formula is this for reflections over lines:", "session_id": 11153, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "2a -x, y", "session_id": 11153, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "So the y will stay the same and a is the line that we reflect over", "session_id": 11153, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "So we have x = 1, a is 1", "session_id": 11153, "sequence_id": 63, "annotations": []}
{"role": "student", "content": "oki", "session_id": 11153, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "So we can try with point U(4, 9)", "session_id": 11153, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "2(1) - 4", "session_id": 11153, "sequence_id": 66, "annotations": []}
{"role": "student", "content": "x will be -4", "session_id": 11153, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "well we have 2-4", "session_id": 11153, "sequence_id": 68, "annotations": []}
{"role": "student", "content": "-2", "session_id": 11153, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "Yes", "session_id": 11153, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "and y stays the same", "session_id": 11153, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "So (-2,9) should be right", "session_id": 11153, "sequence_id": 72, "annotations": []}
{"role": "student", "content": "is that right?", "session_id": 11153, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "Ill check each one really quick", "session_id": 11153, "sequence_id": 74, "annotations": []}
{"role": "volunteer", "content": "Okay yes good that looks right", "session_id": 11153, "sequence_id": 75, "annotations": []}
{"role": "student", "content": "Yes!!!!", "session_id": 11153, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "Great job!", "session_id": 11153, "sequence_id": 77, "annotations": []}
{"role": "student", "content": "finally", "session_id": 11153, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "I hoped this helped", "session_id": 11153, "sequence_id": 79, "annotations": []}
{"role": "student", "content": "you really did", "session_id": 11153, "sequence_id": 80, "annotations": []}
{"role": "volunteer", "content": "So i would just remember the few \"formulas\" for reflections", "session_id": 11153, "sequence_id": 81, "annotations": []}
{"role": "student", "content": "thank you for beleiving that I could do it by myself :)", "session_id": 11153, "sequence_id": 82, "annotations": []}
{"role": "volunteer", "content": "The one we messed up on for x = -1 would have been the same as x = 1 except you would do 2(-1) - x, y", "session_id": 11153, "sequence_id": 83, "annotations": []}
{"role": "volunteer", "content": "Yes no problem great job today", "session_id": 11153, "sequence_id": 84, "annotations": []}
{"role": "student", "content": "anyways have a good day", "session_id": 11153, "sequence_id": 85, "annotations": []}
{"role": "volunteer", "content": "You too!", "session_id": 11153, "sequence_id": 86, "annotations": []}
{"role": "student", "content": "help with number 2", "session_id": 11158, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "are you familiar with the quotient rule?", "session_id": 11158, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "yes", "session_id": 11158, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "ok, so lets start filling it in", "session_id": 11158, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "should we distribute the exponent first", "session_id": 11158, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "In my opinion, yes I would change the (3x^2)^3 into a single expression", "session_id": 11158, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "27x^6", "session_id": 11158, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "yep", "session_id": 11158, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "before we start filling it in lets write out our expressions", "session_id": 11158, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "I filled out f(x) and g(x) What would f'(x) and g'(x) be?", "session_id": 11158, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "f'(x)=-4", "session_id": 11158, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "g'(x)=162x^5", "session_id": 11158, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "yep, so now we can fill in the quotiant rule expression.", "session_id": 11158, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "do you eant to star simplifying that?", "session_id": 11158, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "numerator = -108x^6+648x^6", "session_id": 11158, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "denominator stays the same right", "session_id": 11158, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "Yep, you can combine the like terms in the numerator if you want", "session_id": 11158, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "honestly, with derivatives like this,  how far you simplify is really up to your teacher. the derivative can be further simplified, what is your teachers rule with simplifying?", "session_id": 11158, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "I think simplify as much as you can", "session_id": 11158, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "ok, what I say is write the unsimplified answer that we have so far, but just in case lets simplify it all the way.", "session_id": 11158, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "I don't think we simplify it like that", "session_id": 11158, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "yah, most calc teacher dont want students to do so much arithmatic. I think the best answer to write is the one I boxed because it shows that you simplified the exponents of X but you didnt do the further arithmetic simplification", "session_id": 11158, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "ok", "session_id": 11158, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "does it make sense? I want to make sure you get it", "session_id": 11158, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "yes", "session_id": 11158, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "I completed question 3 idk if its right", "session_id": 11158, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "whats your answer. I can check it", "session_id": 11158, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "30x^4+32x^3-20", "session_id": 11158, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "yep", "session_id": 11158, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "ok can you check 4", "session_id": 11158, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "numerator = 20x-3", "session_id": 11158, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "denom = 2x^2+10x^3", "session_id": 11158, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "I think I did sum wrong it doesn't look right", "session_id": 11158, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "ok, I will work on it and check it and you can follow along ok?", "session_id": 11158, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "ok", "session_id": 11158, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "let me know if you have any questions as I go?", "session_id": 11158, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "ok", "session_id": 11158, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "That can be further simplified, but I am going to use a calculator to check my answer really quick and then we can go over it", "session_id": 11158, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "ok", "session_id": 11158, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "ok, are you ready to go over it?", "session_id": 11158, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "yes", "session_id": 11158, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "so the first thing I did was the quotient rule", "session_id": 11158, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "also, since were running out of whiteboard space, I am going to delete the stuff above on questions 2 and 3 ok?", "session_id": 11158, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "ok", "session_id": 11158, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "so lets first define our expressions in the quotient rule.", "session_id": 11158, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "what would f'(x) equal and what would g'(x) equal?", "session_id": 11158, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "Hey, I just wanted to let you know that I am going to end the session, but I left the work for question 4 on the whiteboard and I filled in the answers that we went over. Feel free to start another session if you need any more help.", "session_id": 11158, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "hi", "session_id": 11581, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "Hi Sam, what's up?", "session_id": 11581, "sequence_id": 1, "annotations": [{"pii_type": "PERSON", "surrogate": "Sam", "start": 3, "end": 6}]}
{"role": "volunteer", "content": "I see, we have some graphs and need absolute min and absolute max....right?", "session_id": 11581, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "yes", "session_id": 11581, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "ok, for g.....what do you think? absolute min=?", "session_id": 11581, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "-4", "session_id": 11581, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "perfect!", "session_id": 11581, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "absolute max=?", "session_id": 11581, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "any ideas?", "session_id": 11581, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "5", "session_id": 11581, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "you got the 5 because you are looking at the left part of the function right?", "session_id": 11581, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "yes", "session_id": 11581, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "do you know what that arrow means, where the function alongong with the dashed vertical line?", "session_id": 11581, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "no", "session_id": 11581, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "ok, so that is the important thing thee arrow means that the function keeps going along it doesn't end with the arrow, they just can't keep graphing it because we ran out of space", "session_id": 11581, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "so the function keeps going up and up and along there is not absolute max", "session_id": 11581, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "*no absolute max", "session_id": 11581, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "oh ok", "session_id": 11581, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "while we are at it, let me explain the dashed line.e dashed line is called an asymptote. The arrow with the dashed line means that the function keeps going up and up and alongd as it does that, it keeps getting closer to x=-5 (the dashed line), but it never quite touches the dashed line", "session_id": 11581, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "have you seen that before?", "session_id": 11581, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "yes", "session_id": 11581, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "good, should we move on to the other function....h?", "session_id": 11581, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "yes", "session_id": 11581, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "min of h = ?", "session_id": 11581, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "-4", "session_id": 11581, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "yep", "session_id": 11581, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "and max of h =?", "session_id": 11581, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "4", "session_id": 11581, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "very nice.....", "session_id": 11581, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "do you have more?", "session_id": 11581, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "no", "session_id": 11581, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "It's been nice working with you!", "session_id": 11581, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "you too", "session_id": 11581, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "Hello", "session_id": 11595, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "hello", "session_id": 11595, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "How may I help you?", "session_id": 11595, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "I need help on my math homework", "session_id": 11595, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "ok, can you show me a problem?", "session_id": 11595, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "yep", "session_id": 11595, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "there", "session_id": 11595, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "I have 29 questions", "session_id": 11595, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "but I'm already working on question 2", "session_id": 11595, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "let me show yo", "session_id": 11595, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "u", "session_id": 11595, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "OK, well I guess I am not doing 29 questions", "session_id": 11595, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "oh", "session_id": 11595, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "ok", "session_id": 11595, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "let me show you how I do it", "session_id": 11595, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "there's the equation", "session_id": 11595, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "heloo", "session_id": 11595, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "I am here.", "session_id": 11595, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "oh ok", "session_id": 11595, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "What do you get for an answer?", "session_id": 11595, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "That's not quite right", "session_id": 11595, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "0.69cents", "session_id": 11595, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "oh", "session_id": 11595, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "oh", "session_id": 11595, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "what is 8 times 8 ?", "session_id": 11595, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "64", "session_id": 11595, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "and what is 64 + 4 ?", "session_id": 11595, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "68", "session_id": 11595, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "oh", "session_id": 11595, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "ok next qeustion", "session_id": 11595, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "by I got to leave", "session_id": 11595, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "hi", "session_id": 11575, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "hey!", "session_id": 11575, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "ok one sec", "session_id": 11575, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "ok", "session_id": 11575, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "Do u use vc?", "session_id": 11575, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "Voice chat", "session_id": 11575, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "no", "session_id": 11575, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "okay lets get started", "session_id": 11575, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "OK, I know you can't hear me, but it should translate to words.", "session_id": 11575, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "The first thing that we need to do is", "session_id": 11575, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "we need", "session_id": 11575, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "substitute", "session_id": 11575, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "into the function.", "session_id": 11575, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "So, basically we're taking F and we're replacing X with x + H.", "session_id": 11575, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "So then it would look like this.", "session_id": 11575, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "ok", "session_id": 11575, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "OK, I'm gonna move down a little bit here, but", "session_id": 11575, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "it would be", "session_id": 11575, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "negative", "session_id": 11575, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "with H", "session_id": 11575, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "weird minus 2.", "session_id": 11575, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "And then when we expand this, it would be", "session_id": 11575, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "remember it was a negative sense it would be negative x^2 +", "session_id": 11575, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "So here we're just combining all like terms.", "session_id": 11575, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "So this is all the like terms, and now what we're gonna do is we're going to subtract F of X from f(x+h) + H. So now what we're gonna do is we're going to", "session_id": 11575, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "do this.", "session_id": 11575, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "all of this, and I'm just gonna go ahead and move this down.", "session_id": 11575, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "So I need all", "session_id": 11575, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "this", "session_id": 11575, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "minus", "session_id": 11575, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "yeah but", "session_id": 11575, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "all of this minus", "session_id": 11575, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "f(x) because this is the original function.", "session_id": 11575, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "to", "session_id": 11575, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "uh", "session_id": 11575, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "for", "session_id": 11575, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "you need to distribute the minus.", "session_id": 11575, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "So it would just be", "session_id": 11575, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "it would just be all of this.", "session_id": 11575, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "and then it would be", "session_id": 11575, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "plus x^2 because we're distributing the minus", "session_id": 11575, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "+ 2 X.", "session_id": 11575, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "minus 4.", "session_id": 11575, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "Now we're gonna combine like terms, so we would get negative", "session_id": 11575, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "XH", "session_id": 11575, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "because", "session_id": 11575, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "these cancel out", "session_id": 11575, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "these cancel out, and then these cancel out. So we're left with this, this and this.", "session_id": 11575, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "And now I had everything by age.", "session_id": 11575, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "22 X.", "session_id": 11575, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "minus 8", "session_id": 11575, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "minus", "session_id": 11575, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "7", "session_id": 11575, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "the final answer", "session_id": 11575, "sequence_id": 53, "annotations": []}
{"role": "student", "content": "ok", "session_id": 11575, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "so all were doing is", "session_id": 11575, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "subtracting f(x) from f(x+h)", "session_id": 11575, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "nd simplifiying by dividing by h", "session_id": 11575, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "do u understand?", "session_id": 11575, "sequence_id": 58, "annotations": []}
{"role": "student", "content": "yes", "session_id": 11575, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "perfect", "session_id": 11575, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "do you need help with anything else?", "session_id": 11575, "sequence_id": 61, "annotations": []}
{"role": "student", "content": "yes", "session_id": 11575, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "okay!", "session_id": 11575, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "could u upload it for me", "session_id": 11575, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "okay can u show me wat you know so fat", "session_id": 11575, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "dar*", "session_id": 11575, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "far*", "session_id": 11575, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "sorry", "session_id": 11575, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "ok wait let me walk u through this", "session_id": 11575, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "so first", "session_id": 11575, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "OK, so the first thing we would do is we would substitute", "session_id": 11575, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "-3 into the X values for both.", "session_id": 11575, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "FFX and GFX.", "session_id": 11575, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "So I'm gonna show you what I mean.", "session_id": 11575, "sequence_id": 74, "annotations": []}
{"role": "volunteer", "content": "We would do", "session_id": 11575, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "F of -3.", "session_id": 11575, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "over", "session_id": 11575, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "G of -3.", "session_id": 11575, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "So when we do that, we're gonna get", "session_id": 11575, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "first let's do them independently. So if we were to do F(x).", "session_id": 11575, "sequence_id": 80, "annotations": []}
{"role": "volunteer", "content": "you would get -3 minus 6.", "session_id": 11575, "sequence_id": 81, "annotations": []}
{"role": "volunteer", "content": "and then", "session_id": 11575, "sequence_id": 82, "annotations": []}
{"role": "volunteer", "content": "One second. We would get FF 3 or -3 minus 6.", "session_id": 11575, "sequence_id": 83, "annotations": []}
{"role": "volunteer", "content": "times", "session_id": 11575, "sequence_id": 84, "annotations": []}
{"role": "volunteer", "content": "34.", "session_id": 11575, "sequence_id": 85, "annotations": []}
{"role": "volunteer", "content": "So it's gonna be negative 9", "session_id": 11575, "sequence_id": 86, "annotations": []}
{"role": "volunteer", "content": "which is just -9. So at the top, we would have -9.", "session_id": 11575, "sequence_id": 87, "annotations": []}
{"role": "volunteer", "content": "Bottom, we need to solve GFX.", "session_id": 11575, "sequence_id": 88, "annotations": []}
{"role": "volunteer", "content": "So that we would do", "session_id": 11575, "sequence_id": 89, "annotations": []}
{"role": "volunteer", "content": "I get a a times -3.", "session_id": 11575, "sequence_id": 90, "annotations": []}
{"role": "volunteer", "content": "-1 to the 24", "session_id": 11575, "sequence_id": 91, "annotations": []}
{"role": "volunteer", "content": "minus 1", "session_id": 11575, "sequence_id": 92, "annotations": []}
{"role": "volunteer", "content": "73", "session_id": 11575, "sequence_id": 93, "annotations": []}
{"role": "volunteer", "content": "RA", "session_id": 11575, "sequence_id": 94, "annotations": []}
{"role": "volunteer", "content": "Your answer is -9/23.", "session_id": 11575, "sequence_id": 95, "annotations": []}
{"role": "volunteer", "content": "Part B, since we're dividing whenever we're dividing something, the bottom value can never be zero.", "session_id": 11575, "sequence_id": 96, "annotations": []}
{"role": "volunteer", "content": "because you cannot", "session_id": 11575, "sequence_id": 97, "annotations": []}
{"role": "volunteer", "content": "by 0", "session_id": 11575, "sequence_id": 98, "annotations": []}
{"role": "volunteer", "content": "So it means is that we need to make GFX equal to 0, and whatever this answer is, that's gonna be our domain restriction. That's gonna be what it can't be.", "session_id": 11575, "sequence_id": 99, "annotations": []}
{"role": "volunteer", "content": "So we're gonna have, A X minus 1.", "session_id": 11575, "sequence_id": 100, "annotations": []}
{"role": "volunteer", "content": "is equal as your", "session_id": 11575, "sequence_id": 101, "annotations": []}
{"role": "volunteer", "content": "so then we get", "session_id": 11575, "sequence_id": 102, "annotations": []}
{"role": "volunteer", "content": "8401 and we divide both sides by -8.", "session_id": 11575, "sequence_id": 103, "annotations": []}
{"role": "volunteer", "content": "and then we would get X is equal.", "session_id": 11575, "sequence_id": 104, "annotations": []}
{"role": "volunteer", "content": "to -1.", "session_id": 11575, "sequence_id": 105, "annotations": []}
{"role": "volunteer", "content": "So this is going to be your answer for Part B and Part A. Do you understand?", "session_id": 11575, "sequence_id": 106, "annotations": []}
{"role": "volunteer", "content": "so we plugged in -3 into f(x) and g(x) and did f(x) divided by g(x) and then we got our answer for part 1", "session_id": 11575, "sequence_id": 107, "annotations": []}
{"role": "volunteer", "content": "and then the bottom (g(x)) CANNOT be 0", "session_id": 11575, "sequence_id": 108, "annotations": []}
{"role": "volunteer", "content": "so we set it to zero to find the domain restiction aka part b", "session_id": 11575, "sequence_id": 109, "annotations": []}
{"role": "volunteer", "content": "do u understand?", "session_id": 11575, "sequence_id": 110, "annotations": []}
{"role": "student", "content": "yes", "session_id": 11575, "sequence_id": 111, "annotations": []}
{"role": "volunteer", "content": "ok perfect", "session_id": 11575, "sequence_id": 112, "annotations": []}
{"role": "volunteer", "content": "do you need help with anything else ?", "session_id": 11575, "sequence_id": 113, "annotations": []}
{"role": "volunteer", "content": "\ud83d\ude0a", "session_id": 11575, "sequence_id": 114, "annotations": []}
{"role": "student", "content": "no", "session_id": 11575, "sequence_id": 115, "annotations": []}
{"role": "volunteer", "content": "ok have a great day!", "session_id": 11575, "sequence_id": 116, "annotations": []}
{"role": "volunteer", "content": "hi", "session_id": 11593, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "Hi", "session_id": 11593, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "mic?", "session_id": 11593, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "I don\u2019t have that option ", "session_id": 11593, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "OK Qs?", "session_id": 11593, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "I need help on this assignment    In one paragraph, compare and contrast the goals of command and mixed market economics, and explain why there are many more mixed market economies than command economies in the world today.", "session_id": 11593, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 11593, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "Create a Pros and Cons of comand vs mix market", "session_id": 11593, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "command - N, North Korea, Cuba, Soviet Union etc", "session_id": 11593, "sequence_id": 8, "annotations": [{"pii_type": "LOCATION", "surrogate": "North Korea", "start": 13, "end": 24}, {"pii_type": "LOCATION", "surrogate": "Cuba", "start": 26, "end": 30}, {"pii_type": "LOCATION", "surrogate": "Soviet Union", "start": 32, "end": 44}]}
{"role": "volunteer", "content": "look at their imports/exports; GDP, resources etc.", "session_id": 11593, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "start here and can elaborate", "session_id": 11593, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "oh hey John", "session_id": 11620, "sequence_id": 0, "annotations": [{"pii_type": "PERSON", "surrogate": "John", "start": 7, "end": 11}]}
{"role": "volunteer", "content": "Hello.", "session_id": 11620, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "what is your calculus question?", "session_id": 11620, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "I was gonna try calculis", "session_id": 11620, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "I was gonna see if I can learn anything from it", "session_id": 11620, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "cuz I never did it before", "session_id": 11620, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "if you are in algebra 1, you aren't ready to learn calculus.", "session_id": 11620, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "so I wanted to try something new", "session_id": 11620, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "ok", "session_id": 11620, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "well alright", "session_id": 11620, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "hello", "session_id": 11660, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "can you help me with thi", "session_id": 11660, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "Hello", "session_id": 11660, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "hi! sorry i was struggling to connect", "session_id": 11660, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "Um, it's fine. I just had a question. I mean, I just need help with this.", "session_id": 11660, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "okay so for the equation on right, y is greater than 2x + 3", "session_id": 11660, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "Yes, I see that", "session_id": 11660, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "so this means that the area of 2x + 3 is going to be on the left of y, or the line of the equation", "session_id": 11660, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "so using that info we can already eliminate two of the graphs", "session_id": 11660, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "and we know its either these two", "session_id": 11660, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "and then we can choose which one matches with the equation", "session_id": 11660, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "so which do you think it'd be?", "session_id": 11660, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "the second one", "session_id": 11660, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "yep !", "session_id": 11660, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "and for the other equation", "session_id": 11660, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "Um, so it's this one.", "session_id": 11660, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "Is that right", "session_id": 11660, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "yeah!", "session_id": 11660, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "OK. Lastly is um the X + Y is.", "session_id": 11660, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "in the negatives.", "session_id": 11660, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "yes, so we subtract x and that means the slope is negative", "session_id": 11660, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "so theres two graphs with negatives slopes, do you know which one matches?", "session_id": 11660, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "Um, my Emily, is that correct?", "session_id": 11660, "sequence_id": 22, "annotations": [{"pii_type": "PERSON", "surrogate": "Emily", "start": 7, "end": 12}]}
{"role": "volunteer", "content": "yep!", "session_id": 11660, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "And that's all", "session_id": 11660, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "Or do we have to separate both of the other two graphs.", "session_id": 11660, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "i think you just need to match up the two equations with the graphs we circled and you can leave the other two alone", "session_id": 11660, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "OK, I agree", "session_id": 11660, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "do you need help with anything else?", "session_id": 11660, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "Um, yes, give me one second.", "session_id": 11660, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "Um, there's a new one on a whiteboard, if you can see it.", "session_id": 11660, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "Um, the, this is the one I need help with.", "session_id": 11660, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "so for this one", "session_id": 11660, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "since it says solutions are in the same region", "session_id": 11660, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "that means that it can be anywhere where both graphs overlap", "session_id": 11660, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "OK, so, um, how do I, um, plot it and so I can check my work.", "session_id": 11660, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "drag the black dot to where you want it to be and then you can check", "session_id": 11660, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "OK, um, thanks. I did that and um here's a new one I'm having trouble with. Um, use the wiperition show understand it.", "session_id": 11660, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "so this is basically the same as the other one except they dont give us the colored portion", "session_id": 11660, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "but we can find that on our own", "session_id": 11660, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "so first we can isolate y to make the equations easier to look at", "session_id": 11660, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "so for the first equation we just move x over", "session_id": 11660, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "OK, so what will it be in between of, can you put the dye on the glass so it betters my understanding.", "session_id": 11660, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "so since y is greater than 1-x, this means 1-x is to the left of y", "session_id": 11660, "sequence_id": 43, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 11660, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "Um, so, I have to plot in that highlight, so we got it.", "session_id": 11660, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "and then you can do the same with the second equation to find the highlighted portion of that", "session_id": 11660, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "Um", "session_id": 11660, "sequence_id": 47, "annotations": []}
{"role": "student", "content": "I already finished writing this out, but I need help with plotting. What did I plot as for both equations.", "session_id": 11660, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "can you show what you highlighted for the second equation", "session_id": 11660, "sequence_id": 49, "annotations": []}
{"role": "student", "content": "4.50.", "session_id": 11660, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "4.5?", "session_id": 11660, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "what do you mean by 4.5", "session_id": 11660, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "Hey, i see u got some geometry work", "session_id": 11766, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "wanna get it up on screen?", "session_id": 11766, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "Yes are you able to use the microphone", "session_id": 11766, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "OK, can you hear me now? Or, or no?", "session_id": 11766, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "Hello", "session_id": 11766, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "Yeah, I hear you", "session_id": 11766, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "OK, I can hear you. Yes. Thank you.", "session_id": 11766, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "OK. So, um, are you able to get the work on your, on the screen or, or what?", "session_id": 11766, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "Yes, let me just take a picture of you.", "session_id": 11766, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "OK.", "session_id": 11766, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "OK, here it is", "session_id": 11766, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "OK, I see it", "session_id": 11766, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "Uh, I'm just gonna read it first and then I'll let you know.", "session_id": 11766, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 11766, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "OK. So", "session_id": 11766, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "um", "session_id": 11766, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "do you have like a specific question or is it kind of like overall", "session_id": 11766, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "um pretty confusing", "session_id": 11766, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "So my teacher in my class", "session_id": 11766, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "uh, teaches me that I have to translate it first, so I would translate A to A.", "session_id": 11766, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "and then I will rotate it, I think he said, but I don't really, I have a really hard time with rotation.", "session_id": 11766, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "or reflections", "session_id": 11766, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "Yeah, those ones are a bit harder. So,", "session_id": 11766, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 11766, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "one thing I see is that", "session_id": 11766, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "yes, you can translate it, and by translating it, you mean like you can just kind of move that the first triangle, like the one in the bottom right up and to the left, right?", "session_id": 11766, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 11766, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "Yeah, until, and then you have A and A overlap. You might notice that when you do that, another point also overlaps.", "session_id": 11766, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "Yeah, B", "session_id": 11766, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "Right.", "session_id": 11766, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "So what you can do from there is", "session_id": 11766, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "it's kind of hard to visualize, but as you practice visualizing that, you'll get better at it. So", "session_id": 11766, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "right now, for me, for example, it's pretty easy to visualize it, but it wasn't always like that. So the way you go from one of those to the next is by trying to visualize it. So see if you can just practice like almost like moving it in your brain until that AB line is overlapping the other one.", "session_id": 11766, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "and see if you can kind of see the shape that you get from there.", "session_id": 11766, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "That would be like a diamond.", "session_id": 11766, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "Exactly, yeah. So, then what, what I noticed from there is that I can actually just reflect", "session_id": 11766, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "that triangle", "session_id": 11766, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "over the line AB.", "session_id": 11766, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "So like this is the line AB and this I can like rotate. I could rotate it around or I could flip it like like this, like flip it or just rotate 90 degrees.", "session_id": 11766, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "Uh oh wait, actually, no, rotating wouldn't work. Um, so here you would just have to flip it.", "session_id": 11766, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "like a", "session_id": 11766, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "you know, imagine this is like a page in a book and you just flip it over like that.", "session_id": 11766, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "Mhm.", "session_id": 11766, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "So", "session_id": 11766, "sequence_id": 43, "annotations": []}
{"role": "student", "content": "what I would do first is that I will translate it.", "session_id": 11766, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "and then all I have to do is flip it. So how would you flip it?", "session_id": 11766, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "Yeah, so, like how to describe it or you're struggling to kind of see it?", "session_id": 11766, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "be it?", "session_id": 11766, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "OK. So", "session_id": 11766, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "I'm gonna draw what the shape looks like now, so it's kind of, we go from there.", "session_id": 11766, "sequence_id": 49, "annotations": []}
{"role": "student", "content": "Mhm", "session_id": 11766, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "So it kinda looks like this and I flip it so that this C or this C here gets turned all the way to here.", "session_id": 11766, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "Mhm", "session_id": 11766, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "Not rotated but flipped. So like this goes really over like this technically.", "session_id": 11766, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "like flipping a page, right? This is like the middle of the book.", "session_id": 11766, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "and I flipped the page over onto the other one.", "session_id": 11766, "sequence_id": 55, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 11766, "sequence_id": 56, "annotations": []}
{"role": "student", "content": "Mm.", "session_id": 11766, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "that kind of help you see it or it's still a little weird in your head?", "session_id": 11766, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "OK.", "session_id": 11766, "sequence_id": 59, "annotations": []}
{"role": "student", "content": "No, no, I, I can see what you mean, but I, I wanna know like", "session_id": 11766, "sequence_id": 60, "annotations": []}
{"role": "student", "content": "is there like a method to flipping it, like I have cause I have to show my work to my teacher.", "session_id": 11766, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "Oh", "session_id": 11766, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "Um, yeah, that's kind of weird.", "session_id": 11766, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "Showing work for this kind of thing in general is weird. Like even", "session_id": 11766, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "translating it is really like, does he want you to redraw it, um, I don't know. Um.", "session_id": 11766, "sequence_id": 65, "annotations": []}
{"role": "student", "content": "Like he wants me, let me show you, for example, like translating.", "session_id": 11766, "sequence_id": 66, "annotations": []}
{"role": "student", "content": "Like he wants to me to make", "session_id": 11766, "sequence_id": 67, "annotations": []}
{"role": "student", "content": "a", "session_id": 11766, "sequence_id": 68, "annotations": []}
{"role": "student", "content": "he wants me to make a line from A to A, right?", "session_id": 11766, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "Oh, OK.", "session_id": 11766, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "see.", "session_id": 11766, "sequence_id": 71, "annotations": []}
{"role": "student", "content": "And then, then just like, cause I have a compass and I would just like measure each side, and then I would like connect them, and then it will be like a shape like like this.", "session_id": 11766, "sequence_id": 72, "annotations": []}
{"role": "student", "content": "Hm", "session_id": 11766, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "OK. Yeah, I guess, then once you've done that, what I would show is just C like as this new triangle here, see how simple I could draw the arrow to C and keep the others in their spot, cause there's only one way to do that, and that's a reflection.", "session_id": 11766, "sequence_id": 74, "annotations": []}
{"role": "student", "content": "Mhm, yeah", "session_id": 11766, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "And you can meet the, um, it might be more clear to him, like you can make a dotted line that's kind of like a common way to show a reflection, like a dotted line here, and you show it's like reflecting over the dotted line, which is the line AB.", "session_id": 11766, "sequence_id": 76, "annotations": []}
{"role": "student", "content": "OK", "session_id": 11766, "sequence_id": 77, "annotations": []}
{"role": "student", "content": "So, uh, I, all I have to do is just like", "session_id": 11766, "sequence_id": 78, "annotations": []}
{"role": "student", "content": "show him that it's reflection, but it's, it's right, like I have to reflect it, reflect it, not rotate it.", "session_id": 11766, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "Exactly, yeah, cause if you rotate it, every point starts rotating like this.", "session_id": 11766, "sequence_id": 80, "annotations": []}
{"role": "student", "content": "OK, so I understand this one, thank you, but", "session_id": 11766, "sequence_id": 81, "annotations": []}
{"role": "volunteer", "content": "OK, yeah", "session_id": 11766, "sequence_id": 82, "annotations": []}
{"role": "student", "content": "if I have like", "session_id": 11766, "sequence_id": 83, "annotations": []}
{"role": "student", "content": "uh something like this, but it needs to be rotated. Like, do you want me to take a picture because I have some in my class that I didn't understand.", "session_id": 11766, "sequence_id": 84, "annotations": []}
{"role": "volunteer", "content": "Yeah, that'd be good, yeah", "session_id": 11766, "sequence_id": 85, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 11766, "sequence_id": 86, "annotations": []}
{"role": "student", "content": "Let me take a quick", "session_id": 11766, "sequence_id": 87, "annotations": []}
{"role": "student", "content": "Yeah, something like that. So like card 6, like I would have to rotate that.", "session_id": 11766, "sequence_id": 88, "annotations": []}
{"role": "volunteer", "content": "He wants it shown that, OK, that's kind of um", "session_id": 11766, "sequence_id": 89, "annotations": []}
{"role": "volunteer", "content": "um, I'm still looking at it.", "session_id": 11766, "sequence_id": 90, "annotations": []}
{"role": "student", "content": "Mm yeah.", "session_id": 11766, "sequence_id": 91, "annotations": []}
{"role": "volunteer", "content": "Um, he might have like a very specific way of showing it cause when I look at this,", "session_id": 11766, "sequence_id": 92, "annotations": []}
{"role": "volunteer", "content": "I, it's kind of con so are these lines here drawn in by you or?", "session_id": 11766, "sequence_id": 93, "annotations": []}
{"role": "volunteer", "content": "so like in this", "session_id": 11766, "sequence_id": 94, "annotations": []}
{"role": "student", "content": "Yes, those are drawn by me. I can erase them if you want.", "session_id": 11766, "sequence_id": 95, "annotations": []}
{"role": "volunteer", "content": "OK, no, that's fine. We, so is all of this you then or just the kind of the darker looking lines.", "session_id": 11766, "sequence_id": 96, "annotations": []}
{"role": "volunteer", "content": "OK, I see", "session_id": 11766, "sequence_id": 97, "annotations": []}
{"role": "student", "content": "The darker looking lines are me, so like the shape above.", "session_id": 11766, "sequence_id": 98, "annotations": []}
{"role": "volunteer", "content": "Yeah, that's just", "session_id": 11766, "sequence_id": 99, "annotations": []}
{"role": "student", "content": "yeah, the sna above there is mine, and then the two there, the one that's diagonal to the other one is there.", "session_id": 11766, "sequence_id": 100, "annotations": []}
{"role": "volunteer", "content": "OK, I see", "session_id": 11766, "sequence_id": 101, "annotations": []}
{"role": "volunteer", "content": "Um", "session_id": 11766, "sequence_id": 102, "annotations": []}
{"role": "volunteer", "content": "OK, I guess the showing your work is more of like", "session_id": 11766, "sequence_id": 103, "annotations": []}
{"role": "volunteer", "content": "so not this then, like, here, for example, I see arrows. He doesn't like that, or?", "session_id": 11766, "sequence_id": 104, "annotations": []}
{"role": "volunteer", "content": "or what?", "session_id": 11766, "sequence_id": 105, "annotations": []}
{"role": "student", "content": "No, those are mine. Like, like, um", "session_id": 11766, "sequence_id": 106, "annotations": []}
{"role": "student", "content": "I have the shape, like right here, let me show you, like this one right here is theirs, and then this one is theirs.", "session_id": 11766, "sequence_id": 107, "annotations": []}
{"role": "student", "content": "So they tell me how did that shape get there? So I would, would like you could see here.", "session_id": 11766, "sequence_id": 108, "annotations": []}
{"role": "student", "content": "is it", "session_id": 11766, "sequence_id": 109, "annotations": []}
{"role": "student", "content": "Like you could see like it's like me translating it up and then rotating it 90 degrees.", "session_id": 11766, "sequence_id": 110, "annotations": []}
{"role": "volunteer", "content": "Right", "session_id": 11766, "sequence_id": 111, "annotations": []}
{"role": "volunteer", "content": "OK, so he doesn't, he wants you to do it with a compass though, like specifically like showing the, like, basically to make it exact rather than just like showing, oh, I do this and then this move. He wants like exactly like this goes here, this goes here with the compass.", "session_id": 11766, "sequence_id": 112, "annotations": []}
{"role": "student", "content": "Yeah, yeah, like that. He wants to like wear everything is placed.", "session_id": 11766, "sequence_id": 113, "annotations": []}
{"role": "volunteer", "content": "OK, I see", "session_id": 11766, "sequence_id": 114, "annotations": []}
{"role": "volunteer", "content": "Um", "session_id": 11766, "sequence_id": 115, "annotations": []}
{"role": "volunteer", "content": "then I feel like just drawing the shape after each.", "session_id": 11766, "sequence_id": 116, "annotations": []}
{"role": "volunteer", "content": "um movement you do would work. And I feel like that's kind of like what I see here, and this one makes sense to me. So for example, if you", "session_id": 11766, "sequence_id": 117, "annotations": []}
{"role": "volunteer", "content": "rotate something", "session_id": 11766, "sequence_id": 118, "annotations": []}
{"role": "volunteer", "content": "and then flip it, you first show the shape you get after a rotation.", "session_id": 11766, "sequence_id": 119, "annotations": []}
{"role": "volunteer", "content": "and then after the flip, and that kind of shows the process.", "session_id": 11766, "sequence_id": 120, "annotations": []}
{"role": "student", "content": "Mhm", "session_id": 11766, "sequence_id": 121, "annotations": []}
{"role": "volunteer", "content": "So I feel like for that last one", "session_id": 11766, "sequence_id": 122, "annotations": []}
{"role": "volunteer", "content": "or by last one, I mean the one we were looking at before.", "session_id": 11766, "sequence_id": 123, "annotations": []}
{"role": "student", "content": "Mhm.", "session_id": 11766, "sequence_id": 124, "annotations": []}
{"role": "volunteer", "content": "Your shapes would", "session_id": 11766, "sequence_id": 125, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 11766, "sequence_id": 126, "annotations": []}
{"role": "volunteer", "content": "also there's like the shapes end up overlapping.", "session_id": 11766, "sequence_id": 127, "annotations": []}
{"role": "volunteer", "content": "right? Is that the goal or no?", "session_id": 11766, "sequence_id": 128, "annotations": []}
{"role": "student", "content": "Yeah, the shapes to overlap.", "session_id": 11766, "sequence_id": 129, "annotations": []}
{"role": "volunteer", "content": "OK.", "session_id": 11766, "sequence_id": 130, "annotations": []}
{"role": "volunteer", "content": "Um, but when I look at here, for example, I don't see, I feel like I", "session_id": 11766, "sequence_id": 131, "annotations": []}
{"role": "volunteer", "content": "I don't see um", "session_id": 11766, "sequence_id": 132, "annotations": []}
{"role": "volunteer", "content": "dog", "session_id": 11766, "sequence_id": 133, "annotations": []}
{"role": "student", "content": "Yeah, cause I didn't finish that one. I, I was confused. I don't, like I always get confused at the rotation part, like how to use the protractor in order to rotate it.", "session_id": 11766, "sequence_id": 134, "annotations": []}
{"role": "volunteer", "content": "Right, OK. So", "session_id": 11766, "sequence_id": 135, "annotations": []}
{"role": "volunteer", "content": "for rotating, you basically, when you rotate something around, you have to basically choose like a center point.", "session_id": 11766, "sequence_id": 136, "annotations": []}
{"role": "volunteer", "content": "to rotate something around, so it's kind of hard to just like pick a corner of some shape and go, OK, I'm going to rotate it, and then rotate this, and then rotate this.", "session_id": 11766, "sequence_id": 137, "annotations": []}
{"role": "student", "content": "Mhm", "session_id": 11766, "sequence_id": 138, "annotations": []}
{"role": "volunteer", "content": "You have to choose like, OK, here's my center.", "session_id": 11766, "sequence_id": 139, "annotations": []}
{"role": "volunteer", "content": "and then I rotate it this much.", "session_id": 11766, "sequence_id": 140, "annotations": []}
{"role": "volunteer", "content": "And then this should rotate around that same center that you choose.", "session_id": 11766, "sequence_id": 141, "annotations": []}
{"role": "volunteer", "content": "The center could also be like out here, for example.", "session_id": 11766, "sequence_id": 142, "annotations": []}
{"role": "volunteer", "content": "This could like wrap around like that, and then this goes here", "session_id": 11766, "sequence_id": 143, "annotations": []}
{"role": "volunteer", "content": "so it'll, or I get this one would rotate more like through here like that.", "session_id": 11766, "sequence_id": 144, "annotations": []}
{"role": "volunteer", "content": "So basically you have to like choose a center", "session_id": 11766, "sequence_id": 145, "annotations": []}
{"role": "volunteer", "content": "and that center will be the same.", "session_id": 11766, "sequence_id": 146, "annotations": []}
{"role": "volunteer", "content": "for", "session_id": 11766, "sequence_id": 147, "annotations": []}
{"role": "volunteer", "content": "each corner, if that makes sense. So what I'm saying is if I pick this as the point I'm rotating around, each of these corners.", "session_id": 11766, "sequence_id": 148, "annotations": []}
{"role": "volunteer", "content": "I'm still putting one part of the pro the thing here, the compass here, and the other here.", "session_id": 11766, "sequence_id": 149, "annotations": []}
{"role": "volunteer", "content": "for each of these points. So also like this for the other corner, and like this for that corner.", "session_id": 11766, "sequence_id": 150, "annotations": []}
{"role": "volunteer", "content": "and like this for that last corner", "session_id": 11766, "sequence_id": 151, "annotations": []}
{"role": "volunteer", "content": "So notice each of them has one leg of the compass at that same center.", "session_id": 11766, "sequence_id": 152, "annotations": []}
{"role": "volunteer", "content": "Does that kind of help or not, not so much. Not exactly what you needed.", "session_id": 11766, "sequence_id": 153, "annotations": []}
{"role": "student", "content": "No, it helps, it helps. I can see.", "session_id": 11766, "sequence_id": 154, "annotations": []}
{"role": "volunteer", "content": "OK. So, usually, if there's a struggle with rotation, my guess", "session_id": 11766, "sequence_id": 155, "annotations": []}
{"role": "volunteer", "content": "is that's what it would be, is it's kind of", "session_id": 11766, "sequence_id": 156, "annotations": []}
{"role": "volunteer", "content": "um", "session_id": 11766, "sequence_id": 157, "annotations": []}
{"role": "volunteer", "content": "you know, cause I mean, you need 2 points to rotate something to kind of the center and then the other thing that you're actually rotating. So, if you can pick both of those points, um, and you feel confident in them, it should be easier from there. Um, for a reflection, I'm not sure how you would show that with a", "session_id": 11766, "sequence_id": 158, "annotations": []}
{"role": "volunteer", "content": "a compass because I would just", "session_id": 11766, "sequence_id": 159, "annotations": []}
{"role": "student", "content": "reflects the shape, yeah", "session_id": 11766, "sequence_id": 160, "annotations": []}
{"role": "volunteer", "content": "I don't know, use a wooler or something, like here.", "session_id": 11766, "sequence_id": 161, "annotations": []}
{"role": "volunteer", "content": "and then if this is like 2 inches here,", "session_id": 11766, "sequence_id": 162, "annotations": []}
{"role": "volunteer", "content": "then, and I'm rotating it or reflecting it around here, then it's just 2 inches here again, and I just kind of connect them.", "session_id": 11766, "sequence_id": 163, "annotations": []}
{"role": "student", "content": "OK", "session_id": 11766, "sequence_id": 164, "annotations": []}
{"role": "student", "content": "OK, thank you", "session_id": 11766, "sequence_id": 165, "annotations": []}
{"role": "volunteer", "content": "OK. So, does that help or still not, maybe not so much.", "session_id": 11766, "sequence_id": 166, "annotations": []}
{"role": "student", "content": "No, no, it helps. Thank you.", "session_id": 11766, "sequence_id": 167, "annotations": []}
{"role": "volunteer", "content": "OK.", "session_id": 11766, "sequence_id": 168, "annotations": []}
{"role": "volunteer", "content": "Cause um, yeah, if this stuff is confusing when I explain it, that's", "session_id": 11766, "sequence_id": 169, "annotations": []}
{"role": "volunteer", "content": "that's OK. That kind of", "session_id": 11766, "sequence_id": 170, "annotations": []}
{"role": "volunteer", "content": "this is a weird thing to explain in general, but especially when they have you do compass work. That's kind of one of the harder parts, to be honest, in geometry, in my opinion.", "session_id": 11766, "sequence_id": 171, "annotations": []}
{"role": "student", "content": "OK. Thank.", "session_id": 11766, "sequence_id": 172, "annotations": []}
{"role": "volunteer", "content": "So do you want to go, go back to that previous one and see if it is clear or you feel, you feel fine?", "session_id": 11766, "sequence_id": 173, "annotations": []}
{"role": "student", "content": "No, no, no, I, I, I can do it. Thank you.", "session_id": 11766, "sequence_id": 174, "annotations": []}
{"role": "volunteer", "content": "OK. So is that all for today? You're all good?", "session_id": 11766, "sequence_id": 175, "annotations": []}
{"role": "student", "content": "Yes, thank you. I'll get that.", "session_id": 11766, "sequence_id": 176, "annotations": []}
{"role": "volunteer", "content": "OK. Yeah. Have a good day", "session_id": 11766, "sequence_id": 177, "annotations": []}
{"role": "volunteer", "content": "hello!", "session_id": 11740, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "what are you working on today?", "session_id": 11740, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "hello !!", "session_id": 11740, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "My MYP project", "session_id": 11740, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "ok ok, is there a specific question?", "session_id": 11740, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "I attached the image for you", "session_id": 11740, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "ah ok ok i see", "session_id": 11740, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "okay do you wanna just do a drawing first", "session_id": 11740, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "could be anything", "session_id": 11740, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "I dont know what to draw it just to be 6 lines", "session_id": 11740, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "*has", "session_id": 11740, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "it looks like the assignment says at least 6 lines", "session_id": 11740, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "you could do a simple shape", "session_id": 11740, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "like a heart, or a diamond", "session_id": 11740, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "The have to be really straight lines , i would do a hear but I dont think I can", "session_id": 11740, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "ok i can show you how to do a heart (more a heart looking shape thingy)", "session_id": 11740, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "ok", "session_id": 11740, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "and this one makes the question easier because it is symmetrical", "session_id": 11740, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "ok , im going to draw on my paper now lol", "session_id": 11740, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "so the slope on the left and right are just gonna be the negative of each other", "session_id": 11740, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "its kinda hard to draw a good one on the whiteboard lol", "session_id": 11740, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "feel free to change the coordinates if you want", "session_id": 11740, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "can you please help me change it back it got messed up", "session_id": 11740, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "okay i got it back roughly", "session_id": 11740, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "I drew on my paper", "session_id": 11740, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "ok ok", "session_id": 11740, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "i'll label the lines so its easier to see", "session_id": 11740, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "um can you give tell me the coordinates of all the points you drew", "session_id": 11740, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "i'll draw it better on the board", "session_id": 11740, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "this whiteboard is not designed well", "session_id": 11740, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "too hard to use", "session_id": 11740, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "very glitchy", "session_id": 11740, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "the middle line is at 6,0", "session_id": 11740, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "oh nvm i got it back", "session_id": 11740, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "that is terible , you can probably do it better lol", "session_id": 11740, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "omg idk why the image get erased too", "session_id": 11740, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "no for reall", "session_id": 11740, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "just one second", "session_id": 11740, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "let me try smth to fix this", "session_id": 11740, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "ok", "session_id": 11740, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "ok can you see it?", "session_id": 11740, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "i used a 10X10 grid", "session_id": 11740, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "the middle part isnt connected with a line like that buts its fine .", "session_id": 11740, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "yea i see it", "session_id": 11740, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "ok great", "session_id": 11740, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "let me label the points", "session_id": 11740, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "okay can you see it?", "session_id": 11740, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "yea, im gonna right it down", "session_id": 11740, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "i also labelled the lines", "session_id": 11740, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "what do those mean ??", "session_id": 11740, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "just so its easier for us to write everything down later", "session_id": 11740, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "Line 1 refers to the horizontal line, etc", "session_id": 11740, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "the very bottom is at 0,-10", "session_id": 11740, "sequence_id": 52, "annotations": []}
{"role": "student", "content": "you just had to change the point", "session_id": 11740, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "okay", "session_id": 11740, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "the grid is 10X10", "session_id": 11740, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "alright", "session_id": 11740, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "okay", "session_id": 11740, "sequence_id": 57, "annotations": []}
{"role": "student", "content": "Leo , I finished writing them down", "session_id": 11740, "sequence_id": 58, "annotations": [{"pii_type": "PERSON", "surrogate": "Leo", "start": 0, "end": 3}]}
{"role": "volunteer", "content": "ok!", "session_id": 11740, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "can you do the domain and ranges first for all the lines?", "session_id": 11740, "sequence_id": 60, "annotations": []}
{"role": "student", "content": "honestly", "session_id": 11740, "sequence_id": 61, "annotations": []}
{"role": "student", "content": "example.com/image.jpg", "session_id": 11740, "sequence_id": 62, "annotations": [{"pii_type": "URL", "surrogate": "example.com/image.jpg", "start": 0, "end": 21}]}
{"role": "volunteer", "content": "okay so domain is just the range of x values a line occupies, range is the y values", "session_id": 11740, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "ex. for Line 1, the line goes from 1 to 4 (horizontally) and 6 to 10 (vertically)", "session_id": 11740, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "i'll write it down on the board", "session_id": 11740, "sequence_id": 65, "annotations": []}
{"role": "student", "content": "thats what I right on my paper?", "session_id": 11740, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "yes sure", "session_id": 11740, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "we will do the domain and ranges first", "session_id": 11740, "sequence_id": 68, "annotations": []}
{"role": "student", "content": "can you right tthe point that each ones for cs the Line 1 things are still not making it easier tbh", "session_id": 11740, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "i can put arrows so you know which lines each label is for", "session_id": 11740, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "its really hard to write on this whiteboard, even with an ipad", "session_id": 11740, "sequence_id": 71, "annotations": []}
{"role": "student", "content": "ok", "session_id": 11740, "sequence_id": 72, "annotations": []}
{"role": "student", "content": "the slope for line 1 is zero ?", "session_id": 11740, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 11740, "sequence_id": 74, "annotations": []}
{"role": "volunteer", "content": "no increase or decrease", "session_id": 11740, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "slope of any horizontal line is 0", "session_id": 11740, "sequence_id": 76, "annotations": []}
{"role": "student", "content": "ohhh ok", "session_id": 11740, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "so slope is basically you finding two points on the line (ideally with integer coordinates) and plug them into the formula", "session_id": 11740, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "i wrote it out on the board", "session_id": 11740, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "repeat the same process for all the other lines", "session_id": 11740, "sequence_id": 80, "annotations": []}
{"role": "volunteer", "content": "and we already talked about domain and range above", "session_id": 11740, "sequence_id": 81, "annotations": []}
{"role": "volunteer", "content": "i also wrote out a few examples for you", "session_id": 11740, "sequence_id": 82, "annotations": []}
{"role": "volunteer", "content": "just gotta do the same for all the other lines", "session_id": 11740, "sequence_id": 83, "annotations": []}
{"role": "volunteer", "content": "which should be okay because this shape is symmetrical", "session_id": 11740, "sequence_id": 84, "annotations": []}
{"role": "volunteer", "content": "so Line 2", "session_id": 11740, "sequence_id": 85, "annotations": []}
{"role": "volunteer", "content": "so Line 1's slope is the negatve of Line 2", "session_id": 11740, "sequence_id": 86, "annotations": []}
{"role": "student", "content": "are the examples whats at the bottom , or are those the answers ? i wrotw them as answers on my paper .", "session_id": 11740, "sequence_id": 87, "annotations": []}
{"role": "volunteer", "content": "slope of Line 2 is the negative of Line 1", "session_id": 11740, "sequence_id": 88, "annotations": []}
{"role": "student", "content": "*wrote", "session_id": 11740, "sequence_id": 89, "annotations": []}
{"role": "volunteer", "content": "those are the answers for Line 1, 2, 3, 4", "session_id": 11740, "sequence_id": 90, "annotations": []}
{"role": "volunteer", "content": "which i used as examples", "session_id": 11740, "sequence_id": 91, "annotations": []}
{"role": "volunteer", "content": "all you need to do is 5 and 6", "session_id": 11740, "sequence_id": 92, "annotations": []}
{"role": "student", "content": "oh ok , just making sure", "session_id": 11740, "sequence_id": 93, "annotations": []}
{"role": "volunteer", "content": "and 7", "session_id": 11740, "sequence_id": 94, "annotations": []}
{"role": "student", "content": "67 ?", "session_id": 11740, "sequence_id": 95, "annotations": []}
{"role": "volunteer", "content": "567", "session_id": 11740, "sequence_id": 96, "annotations": []}
{"role": "student", "content": "you dont get 67 ?", "session_id": 11740, "sequence_id": 97, "annotations": []}
{"role": "volunteer", "content": "no? i said you just need to do the domain range and slope for Line 1", "session_id": 11740, "sequence_id": 98, "annotations": []}
{"role": "student", "content": "nvm , if you dont .", "session_id": 11740, "sequence_id": 99, "annotations": []}
{"role": "student", "content": "its a joke , nvm", "session_id": 11740, "sequence_id": 100, "annotations": []}
{"role": "volunteer", "content": "lolol", "session_id": 11740, "sequence_id": 101, "annotations": []}
{"role": "student", "content": "can we do them together ?", "session_id": 11740, "sequence_id": 102, "annotations": []}
{"role": "student", "content": "domain : {-9<x<-4}with the line under the signs ?", "session_id": 11740, "sequence_id": 103, "annotations": []}
{"role": "volunteer", "content": "yep thats right for 6", "session_id": 11740, "sequence_id": 104, "annotations": []}
{"role": "student", "content": "range : {y|10<x<6}", "session_id": 11740, "sequence_id": 105, "annotations": []}
{"role": "volunteer", "content": "yea", "session_id": 11740, "sequence_id": 106, "annotations": []}
{"role": "student", "content": "do mind helping me with the rest ?", "session_id": 11740, "sequence_id": 107, "annotations": []}
{"role": "volunteer", "content": "i think its better if you try to do some yourself, get some practice! i did some of them already", "session_id": 11740, "sequence_id": 108, "annotations": []}
{"role": "student", "content": "i just need help with slope", "session_id": 11740, "sequence_id": 109, "annotations": []}
{"role": "volunteer", "content": "for slope: pick the endpoints of each line and plug those two points into the formula", "session_id": 11740, "sequence_id": 110, "annotations": []}
{"role": "student", "content": "10-6/-9-(-4)", "session_id": 11740, "sequence_id": 111, "annotations": []}
{"role": "volunteer", "content": "bottom is reversed", "session_id": 11740, "sequence_id": 112, "annotations": []}
{"role": "volunteer", "content": "make sure it is y2-y1/x2-x1", "session_id": 11740, "sequence_id": 113, "annotations": []}
{"role": "volunteer", "content": "you cant do y1-y2/x1-x2", "session_id": 11740, "sequence_id": 114, "annotations": []}
{"role": "student", "content": "-4(-9)", "session_id": 11740, "sequence_id": 115, "annotations": []}
{"role": "volunteer", "content": "-4-(-9)", "session_id": 11740, "sequence_id": 116, "annotations": []}
{"role": "student", "content": "-16/5", "session_id": 11740, "sequence_id": 117, "annotations": []}
{"role": "volunteer", "content": "10-6=-16?", "session_id": 11740, "sequence_id": 118, "annotations": []}
{"role": "student", "content": "4 i mean i accidentally put -10", "session_id": 11740, "sequence_id": 119, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 11740, "sequence_id": 120, "annotations": []}
{"role": "volunteer", "content": "great looks like you know how to do these questions now", "session_id": 11740, "sequence_id": 121, "annotations": []}
{"role": "volunteer", "content": "great job!", "session_id": 11740, "sequence_id": 122, "annotations": []}
{"role": "student", "content": "thank you", "session_id": 11740, "sequence_id": 123, "annotations": []}
{"role": "volunteer", "content": "no problem", "session_id": 11740, "sequence_id": 124, "annotations": []}
{"role": "volunteer", "content": "i'll leave the stuff on the board, but i have to go now, feel free to end the session after you are done :)", "session_id": 11740, "sequence_id": 125, "annotations": []}
{"role": "student", "content": "ok , thank you", "session_id": 11740, "sequence_id": 126, "annotations": []}
{"role": "student", "content": "I honestly don't understand this topic, every time I think I understand I prove myself wrong by doing a problem on my own, also if possible can you use mic? its a lot easier to understand things that way", "session_id": 11914, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "well this is inconvenient", "session_id": 11914, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "i dont have a functional microphone", "session_id": 11914, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "mic", "session_id": 11914, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "that's okay we can still chat", "session_id": 11914, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "these are logs right", "session_id": 11914, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "well ig not always", "session_id": 11914, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "theyre exponential", "session_id": 11914, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "cool", "session_id": 11914, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "no they want us to put it into exponential form", "session_id": 11914, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "yeah thats fine", "session_id": 11914, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "Okay", "session_id": 11914, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "so its like waht", "session_id": 11914, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "a*b^x+c irght", "session_id": 11914, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "or rather a*b^(cx)+d", "session_id": 11914, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "so lets start with 66 , I think I kinda get how to do the previous ones", "session_id": 11914, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 11914, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "gimme a sec", "session_id": 11914, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "yea but a is always 1 or -1", "session_id": 11914, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "bcz these are just translated or reflected", "session_id": 11914, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "reflection is based on a", "session_id": 11914, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "not translation?", "session_id": 11914, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "wait its x +c I think", "session_id": 11914, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "i think", "session_id": 11914, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "oh", "session_id": 11914, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 11914, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "thats fine", "session_id": 11914, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 11914, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "can u tell me what every letter does", "session_id": 11914, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "to the function", "session_id": 11914, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "yea, so a is the shrink, stretch , or reflection. b is the base of the equation, c is what's being done to the x, like moves horizontally which way and d is what happens to the equation, like up 2 or down 2", "session_id": 11914, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 11914, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "c is horizontal", "session_id": 11914, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "d is vertical", "session_id": 11914, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "a is vertical stretch/compression/reflrection", "session_id": 11914, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "b is base", "session_id": 11914, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "coolios", "session_id": 11914, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "so u want to start iwht 66?", "session_id": 11914, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "yea", "session_id": 11914, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "ok whats a", "session_id": 11914, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "1", "session_id": 11914, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "nice", "session_id": 11914, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "whats d", "session_id": 11914, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "+3", "session_id": 11914, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "great", "session_id": 11914, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "so we have b^(x+c)+3 now", "session_id": 11914, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "ye", "session_id": 11914, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "are the 3 points also like", "session_id": 11914, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "wait nvm", "session_id": 11914, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "i think we now just plug some stuff in", "session_id": 11914, "sequence_id": 49, "annotations": []}
{"role": "student", "content": "I tried but it doesn't lead to anything", "session_id": 11914, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "lemme c", "session_id": 11914, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "b^(c+1)+3=7\nb^c+3=5", "session_id": 11914, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "the 2 points on the right get this right", "session_id": 11914, "sequence_id": 53, "annotations": []}
{"role": "student", "content": "so now what doo you do?", "session_id": 11914, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "Ah", "session_id": 11914, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "my wifi just died", "session_id": 11914, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "im back", "session_id": 11914, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "heres what u should do", "session_id": 11914, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "do u agree", "session_id": 11914, "sequence_id": 59, "annotations": []}
{"role": "student", "content": "yup", "session_id": 11914, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "can u divide the first by the second", "session_id": 11914, "sequence_id": 61, "annotations": []}
{"role": "student", "content": "what do you mean", "session_id": 11914, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "well first", "session_id": 11914, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "ur right", "session_id": 11914, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "b is 2 and c is 1", "session_id": 11914, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "but thats only because the prolem told u", "session_id": 11914, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "b is 2 or 3", "session_id": 11914, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "lemme show u", "session_id": 11914, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "the real wayu to solve it", "session_id": 11914, "sequence_id": 69, "annotations": []}
{"role": "student", "content": "okay", "session_id": 11914, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "do u agree?", "session_id": 11914, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "we can divide the first by the second", "session_id": 11914, "sequence_id": 72, "annotations": []}
{"role": "student", "content": "ok", "session_id": 11914, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "this look right?", "session_id": 11914, "sequence_id": 74, "annotations": []}
{"role": "student", "content": "I've never done it this way", "session_id": 11914, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "uh", "session_id": 11914, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "have u done exponent division", "session_id": 11914, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "or multiplication", "session_id": 11914, "sequence_id": 78, "annotations": []}
{"role": "student", "content": "yea but not for these typa problems", "session_id": 11914, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "okies", "session_id": 11914, "sequence_id": 80, "annotations": []}
{"role": "volunteer", "content": "jsut a heads up", "session_id": 11914, "sequence_id": 81, "annotations": []}
{"role": "volunteer", "content": "this is how ur supposed to do them", "session_id": 11914, "sequence_id": 82, "annotations": []}
{"role": "volunteer", "content": "bc they get a lot harder in the future", "session_id": 11914, "sequence_id": 83, "annotations": []}
{"role": "volunteer", "content": "and htey dont give u stuff like a=\u00b11; etc.", "session_id": 11914, "sequence_id": 84, "annotations": []}
{"role": "volunteer", "content": "stuff like that", "session_id": 11914, "sequence_id": 85, "annotations": []}
{"role": "volunteer", "content": "we can do it ur way if u want", "session_id": 11914, "sequence_id": 86, "annotations": []}
{"role": "volunteer", "content": "tho in my opinion learning this now will help a lot", "session_id": 11914, "sequence_id": 87, "annotations": []}
{"role": "student", "content": "ok I'm gunna try to understand the process", "session_id": 11914, "sequence_id": 88, "annotations": []}
{"role": "volunteer", "content": "alr", "session_id": 11914, "sequence_id": 89, "annotations": []}
{"role": "volunteer", "content": "basically we try to cancel c using division", "session_id": 11914, "sequence_id": 90, "annotations": []}
{"role": "volunteer", "content": "to find b", "session_id": 11914, "sequence_id": 91, "annotations": []}
{"role": "volunteer", "content": "and then use b to find c", "session_id": 11914, "sequence_id": 92, "annotations": []}
{"role": "volunteer", "content": "lmk if u have questions", "session_id": 11914, "sequence_id": 93, "annotations": []}
{"role": "volunteer", "content": "take ur time", "session_id": 11914, "sequence_id": 94, "annotations": []}
{"role": "student", "content": "my teacher taught me a method that only works sometimes, so idk how to do these properly", "session_id": 11914, "sequence_id": 95, "annotations": []}
{"role": "volunteer", "content": "yeah thats chill", "session_id": 11914, "sequence_id": 96, "annotations": []}
{"role": "volunteer", "content": "just take ur time", "session_id": 11914, "sequence_id": 97, "annotations": []}
{"role": "volunteer", "content": "lmk when u want to move on/jave qeustions", "session_id": 11914, "sequence_id": 98, "annotations": []}
{"role": "student", "content": "what do you do afetr that step on the board", "session_id": 11914, "sequence_id": 99, "annotations": []}
{"role": "volunteer", "content": "divide", "session_id": 11914, "sequence_id": 100, "annotations": []}
{"role": "volunteer", "content": "find b", "session_id": 11914, "sequence_id": 101, "annotations": []}
{"role": "student", "content": "can you divide the b^c's?", "session_id": 11914, "sequence_id": 102, "annotations": []}
{"role": "volunteer", "content": "yeah", "session_id": 11914, "sequence_id": 103, "annotations": []}
{"role": "volunteer", "content": "do yk what x^a*x^b is", "session_id": 11914, "sequence_id": 104, "annotations": []}
{"role": "student", "content": "x^a+b?", "session_id": 11914, "sequence_id": 105, "annotations": []}
{"role": "volunteer", "content": "yeah", "session_id": 11914, "sequence_id": 106, "annotations": []}
{"role": "volunteer", "content": "so multiplication adds exponents", "session_id": 11914, "sequence_id": 107, "annotations": []}
{"role": "volunteer", "content": "division subtracts", "session_id": 11914, "sequence_id": 108, "annotations": []}
{"role": "volunteer", "content": "so b^(c+1)/b^c", "session_id": 11914, "sequence_id": 109, "annotations": []}
{"role": "volunteer", "content": "is b^(c+1-c)", "session_id": 11914, "sequence_id": 110, "annotations": []}
{"role": "volunteer", "content": "whihc is b^1", "session_id": 11914, "sequence_id": 111, "annotations": []}
{"role": "volunteer", "content": "whichis b", "session_id": 11914, "sequence_id": 112, "annotations": []}
{"role": "student", "content": "ok got it", "session_id": 11914, "sequence_id": 113, "annotations": []}
{"role": "student", "content": "then you use b to find C?", "session_id": 11914, "sequence_id": 114, "annotations": []}
{"role": "volunteer", "content": "yeah", "session_id": 11914, "sequence_id": 115, "annotations": []}
{"role": "volunteer", "content": "did u get a value for b", "session_id": 11914, "sequence_id": 116, "annotations": []}
{"role": "student", "content": "yea 2", "session_id": 11914, "sequence_id": 117, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 11914, "sequence_id": 118, "annotations": []}
{"role": "volunteer", "content": "lmk what u get for c", "session_id": 11914, "sequence_id": 119, "annotations": []}
{"role": "student", "content": "1. because 4=2^1+c, would mean C is 1", "session_id": 11914, "sequence_id": 120, "annotations": []}
{"role": "volunteer", "content": "yeah", "session_id": 11914, "sequence_id": 121, "annotations": []}
{"role": "volunteer", "content": "good work!", "session_id": 11914, "sequence_id": 122, "annotations": []}
{"role": "student", "content": "do you mind if I do 67 on my own, I wanna see if I truly understand", "session_id": 11914, "sequence_id": 123, "annotations": []}
{"role": "volunteer", "content": "yeah sure", "session_id": 11914, "sequence_id": 124, "annotations": []}
{"role": "volunteer", "content": "remmeber hte steps", "session_id": 11914, "sequence_id": 125, "annotations": []}
{"role": "volunteer", "content": "a and d are pretty obvious", "session_id": 11914, "sequence_id": 126, "annotations": []}
{"role": "volunteer", "content": "then u go stpe by step", "session_id": 11914, "sequence_id": 127, "annotations": []}
{"role": "student", "content": "ok", "session_id": 11914, "sequence_id": 128, "annotations": []}
{"role": "student", "content": "is 67 reflected ?", "session_id": 11914, "sequence_id": 129, "annotations": []}
{"role": "volunteer", "content": "yesa", "session_id": 11914, "sequence_id": 130, "annotations": []}
{"role": "student", "content": "is 1/2 for b right?", "session_id": 11914, "sequence_id": 131, "annotations": []}
{"role": "volunteer", "content": "lemme c", "session_id": 11914, "sequence_id": 132, "annotations": []}
{"role": "volunteer", "content": "hm", "session_id": 11914, "sequence_id": 133, "annotations": []}
{"role": "student", "content": "imma put my steps on the board I think I did smth wrong'", "session_id": 11914, "sequence_id": 134, "annotations": []}
{"role": "volunteer", "content": "yr close", "session_id": 11914, "sequence_id": 135, "annotations": []}
{"role": "student", "content": "what I did I do wrong", "session_id": 11914, "sequence_id": 136, "annotations": []}
{"role": "volunteer", "content": "it shouldnt be -x-c", "session_id": 11914, "sequence_id": 137, "annotations": []}
{"role": "volunteer", "content": "it should be -b", "session_id": 11914, "sequence_id": 138, "annotations": []}
{"role": "volunteer", "content": "bc we vertically flipping", "session_id": 11914, "sequence_id": 139, "annotations": []}
{"role": "student", "content": "wait so when its filled on y , the b is neg? so when its flipped on x axis, what is negative?", "session_id": 11914, "sequence_id": 140, "annotations": []}
{"role": "student", "content": "flipped*", "session_id": 11914, "sequence_id": 141, "annotations": []}
{"role": "volunteer", "content": "when its flipped on the y a xis", "session_id": 11914, "sequence_id": 142, "annotations": []}
{"role": "volunteer", "content": "we have a<0", "session_id": 11914, "sequence_id": 143, "annotations": []}
{"role": "volunteer", "content": "when its flipped on the x axis", "session_id": 11914, "sequence_id": 144, "annotations": []}
{"role": "volunteer", "content": "we have b^negativve", "session_id": 11914, "sequence_id": 145, "annotations": []}
{"role": "student", "content": "oh ok, how do you know which way t flipped", "session_id": 11914, "sequence_id": 146, "annotations": []}
{"role": "student", "content": "it*", "session_id": 11914, "sequence_id": 147, "annotations": []}
{"role": "volunteer", "content": "uh", "session_id": 11914, "sequence_id": 148, "annotations": []}
{"role": "volunteer", "content": "well teh parnt function", "session_id": 11914, "sequence_id": 149, "annotations": []}
{"role": "volunteer", "content": "is this right", "session_id": 11914, "sequence_id": 150, "annotations": []}
{"role": "volunteer", "content": "u just kinda have to look at it", "session_id": 11914, "sequence_id": 151, "annotations": []}
{"role": "volunteer", "content": "red is x axis flipped", "session_id": 11914, "sequence_id": 152, "annotations": []}
{"role": "student", "content": "oh so 68 is flipped", "session_id": 11914, "sequence_id": 153, "annotations": []}
{"role": "volunteer", "content": "oh sorry", "session_id": 11914, "sequence_id": 154, "annotations": []}
{"role": "volunteer", "content": "hang on", "session_id": 11914, "sequence_id": 155, "annotations": []}
{"role": "volunteer", "content": "im very wrong", "session_id": 11914, "sequence_id": 156, "annotations": []}
{"role": "student", "content": "wait so 67 is flipped on the x axis?", "session_id": 11914, "sequence_id": 157, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 11914, "sequence_id": 158, "annotations": []}
{"role": "volunteer", "content": "fliping on x axis", "session_id": 11914, "sequence_id": 159, "annotations": []}
{"role": "volunteer", "content": "means a<0", "session_id": 11914, "sequence_id": 160, "annotations": []}
{"role": "volunteer", "content": "sorry", "session_id": 11914, "sequence_id": 161, "annotations": []}
{"role": "volunteer", "content": "misswrote earlier", "session_id": 11914, "sequence_id": 162, "annotations": []}
{"role": "student", "content": "that's ok, so flipping on y axis would make the exponent neg, flipping on x axis makes a neg", "session_id": 11914, "sequence_id": 163, "annotations": []}
{"role": "volunteer", "content": "yues", "session_id": 11914, "sequence_id": 164, "annotations": []}
{"role": "student", "content": "ok lemme try redoing this hold on", "session_id": 11914, "sequence_id": 165, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 11914, "sequence_id": 166, "annotations": []}
{"role": "student", "content": "I'm stuck. No I'm at b^-1 =-1/2. what do I do from there?", "session_id": 11914, "sequence_id": 167, "annotations": []}
{"role": "student", "content": "now*", "session_id": 11914, "sequence_id": 168, "annotations": []}
{"role": "volunteer", "content": "well its b^-1=1/2", "session_id": 11914, "sequence_id": 169, "annotations": []}
{"role": "student", "content": "oh I thought b was neg", "session_id": 11914, "sequence_id": 170, "annotations": []}
{"role": "volunteer", "content": "nah", "session_id": 11914, "sequence_id": 171, "annotations": []}
{"role": "volunteer", "content": "they cancel", "session_id": 11914, "sequence_id": 172, "annotations": []}
{"role": "student", "content": "so I divided the neg over", "session_id": 11914, "sequence_id": 173, "annotations": []}
{"role": "volunteer", "content": "anyways", "session_id": 11914, "sequence_id": 174, "annotations": []}
{"role": "student", "content": "ohhh ok", "session_id": 11914, "sequence_id": 175, "annotations": []}
{"role": "volunteer", "content": "u can find b", "session_id": 11914, "sequence_id": 176, "annotations": []}
{"role": "volunteer", "content": "b^-1=1/2", "session_id": 11914, "sequence_id": 177, "annotations": []}
{"role": "volunteer", "content": "hwats b", "session_id": 11914, "sequence_id": 178, "annotations": []}
{"role": "student", "content": "2?", "session_id": 11914, "sequence_id": 179, "annotations": []}
{"role": "volunteer", "content": "mhm", "session_id": 11914, "sequence_id": 180, "annotations": []}
{"role": "volunteer", "content": "good work", "session_id": 11914, "sequence_id": 181, "annotations": []}
{"role": "volunteer", "content": "now find c", "session_id": 11914, "sequence_id": 182, "annotations": []}
{"role": "student", "content": "ok", "session_id": 11914, "sequence_id": 183, "annotations": []}
{"role": "student", "content": "I got 2", "session_id": 11914, "sequence_id": 184, "annotations": []}
{"role": "volunteer", "content": "whats ur ful equation", "session_id": 11914, "sequence_id": 185, "annotations": []}
{"role": "volunteer", "content": "?", "session_id": 11914, "sequence_id": 186, "annotations": []}
{"role": "volunteer", "content": "hullo>", "session_id": 11914, "sequence_id": 187, "annotations": []}
{"role": "student", "content": "How u doin Sarah", "session_id": 11788, "sequence_id": 0, "annotations": [{"pii_type": "PERSON", "surrogate": "Sarah", "start": 11, "end": 16}]}
{"role": "volunteer", "content": "Hello, how can I help you today?", "session_id": 11788, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "Good, thank you! And you?", "session_id": 11788, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "Just wanted to do some problems", "session_id": 11788, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "good thank u for asking", "session_id": 11788, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "Of course! What type of problems?", "session_id": 11788, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "algebra", "session_id": 11788, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "Any specific type of algebra problems; quadratic formula, solving inequalities, solving for x, perfect square..?", "session_id": 11788, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "it don\u2019t matter you can pick", "session_id": 11788, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "Okay! Let me think of some problems!", "session_id": 11788, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "ok", "session_id": 11788, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "Let's start with some simple ones!", "session_id": 11788, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "K", "session_id": 11788, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "Let me know if you need help with any of them, or want more problems.", "session_id": 11788, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "I don\u2019t see then", "session_id": 11788, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "Them", "session_id": 11788, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "I put them on  the board in a textbox, let me try again.", "session_id": 11788, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "I see it", "session_id": 11788, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "Okay great!", "session_id": 11788, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "For a is 4", "session_id": 11788, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "for b is 13", "session_id": 11788, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "For c -8 and 15 under the 8", "session_id": 11788, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "Great! How did those problems go for you, too easy? hard?", "session_id": 11788, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "Too easy", "session_id": 11788, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "Okay, let me try some harder problems", "session_id": 11788, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "Ok", "session_id": 11788, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "Can you see these?", "session_id": 11788, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 11788, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "For one", "session_id": 11788, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "x=-5", "session_id": 11788, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "X=5", "session_id": 11788, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "That\u2019s for one", "session_id": 11788, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "For 2", "session_id": 11788, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "2x-3", "session_id": 11788, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "3", "session_id": 11788, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "For 3", "session_id": 11788, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "X=5", "session_id": 11788, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "For 1. You got one of the two right, x=-5 is right, but there is also another answer that works", "session_id": 11788, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "Ok", "session_id": 11788, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "I apologize, a matter has just come up and I have to leave, but here are the answers; 1. x=-5, x=2 2. 2x-3 (Correct!) and cant equal -3/2 and 3. your correct!", "session_id": 11788, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "Ok", "session_id": 11788, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "Northwood High problems!", "session_id": 11788, "sequence_id": 41, "annotations": [{"pii_type": "SCHOOL", "surrogate": "Northwood High", "start": 0, "end": 14}]}
{"role": "volunteer", "content": "Hope I could be of help!", "session_id": 11788, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "Okay", "session_id": 11788, "sequence_id": 43, "annotations": []}
{"role": "student", "content": "Hello", "session_id": 11958, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "Hello!", "session_id": 11958, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "What would you like help with today?", "session_id": 11958, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "Can you help me with this fraction problem", "session_id": 11958, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "no problem, can you show me", "session_id": 11958, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "21/3 multiplied by 2", "session_id": 11958, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "Alright, so what do you not understand?", "session_id": 11958, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "That can help us fix the problem", "session_id": 11958, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "How to turn it in to mixed fraction", "session_id": 11958, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "Ok, so there are several ways to do this, and mixed fractions are quite tricky", "session_id": 11958, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "But in this problem there is no need to turn into a mixed fraction", "session_id": 11958, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "Oh ok", "session_id": 11958, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "Never mind", "session_id": 11958, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "For a mixed fraction you need a whole number and a fraction, but here, you can just simplify into a whole number", "session_id": 11958, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "Ok thank you", "session_id": 11958, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "Yeah no problem!", "session_id": 11958, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "Anything else you need help with?", "session_id": 11958, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "No that\u2019s it", "session_id": 11958, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "Hello!", "session_id": 11837, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "hi! one moment please, ill be right back", "session_id": 11837, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "Take your time! When you come back, just give me a brief overview of what you need help with today.", "session_id": 11837, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "im back, sorry for the wait! ill send a pic of the problems i need help on", "session_id": 11837, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "these are the 3 i need help on", "session_id": 11837, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "Alright! One sec, let me look through them", "session_id": 11837, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "alright, take ur time", "session_id": 11837, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "Quick question.", "session_id": 11837, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "Do you have an answer key to this?", "session_id": 11837, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "yes ill send it rn", "session_id": 11837, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "here it is", "session_id": 11837, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "Ok great thank you", "session_id": 11837, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "You can delete that if you would like now!", "session_id": 11837, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "alright", "session_id": 11837, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "Now. first one", "session_id": 11837, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "THe diff betw fx and gx", "session_id": 11837, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "are going to be f-g", "session_id": 11837, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "and we dont have to worry if its going to be g-f", "session_id": 11837, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "BECAUSE f(x) is always greater than g(x) from 0<=x<=2", "session_id": 11837, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "Does that part make sense?", "session_id": 11837, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "why are we calculating the difference?", "session_id": 11837, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "In the q it asks for the vertical distance betw f and g", "session_id": 11837, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "ohhh", "session_id": 11837, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "so we use avg rate of change formula", "session_id": 11837, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "ex.) lets pick a point x=1 then i would be asked to find the distance of the blue line", "session_id": 11837, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "Close. but since you are finding the instanteuous rate. we will be deriving both f and g", "session_id": 11837, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "ah alright", "session_id": 11837, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "if it was asked to find the rate of change of 0 and 2 then we would use aroc", "session_id": 11837, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "avg rate of change*", "session_id": 11837, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "ohhhh ok", "session_id": 11837, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "Is this a calculator problem?\\", "session_id": 11837, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "im pretty sure", "session_id": 11837, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "Ok great!", "session_id": 11837, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "Are you allowed to use a graphing calculator like Desmos? or only a physical calculator", "session_id": 11837, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "we could use either one for the hw i believe", "session_id": 11837, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "Ok", "session_id": 11837, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "Since desmos is more widely used and has a lot more tools, I will be exp[laining through desmos.", "session_id": 11837, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "alright", "session_id": 11837, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "For this problem, i recommend writing on desmos the following", "session_id": 11837, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "f(x)=-1/2x^3+3x+1", "session_id": 11837, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "g(x)=e^(*x/2)", "session_id": 11837, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "and then i would just write", "session_id": 11837, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "f'(1.5)-g'(1.5)", "session_id": 11837, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "and it will give you the answer on thge bottom right", "session_id": 11837, "sequence_id": 43, "annotations": []}
{"role": "student", "content": "i got -1.433", "session_id": 11837, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "Yup!", "session_id": 11837, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "I usually round to the nearest hundreds but I recommend asking your teacher to see what they prefer", "session_id": 11837, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "Are you taking the AP exam?", "session_id": 11837, "sequence_id": 47, "annotations": []}
{"role": "student", "content": "ah ok, i think we round to 3 decimal places", "session_id": 11837, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "0.000", "session_id": 11837, "sequence_id": 49, "annotations": []}
{"role": "student", "content": "yes", "session_id": 11837, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "Ok! for AP exam you are rounding to 3 decimal points", "session_id": 11837, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "As long as the question doesnt SPECIFICALLY state to round to a certain point", "session_id": 11837, "sequence_id": 52, "annotations": []}
{"role": "student", "content": "-1.433 (truncated) or -1.434 (rounded)", "session_id": 11837, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "3 decimal points", "session_id": 11837, "sequence_id": 54, "annotations": []}
{"role": "student", "content": "ah ok", "session_id": 11837, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "-1.434!", "session_id": 11837, "sequence_id": 56, "annotations": []}
{"role": "student", "content": "im still kinda confused by the way the question is worded", "session_id": 11837, "sequence_id": 57, "annotations": []}
{"role": "student", "content": "what does it mean when it says h changes with respect to x", "session_id": 11837, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "something w respect to X means that the SOMETHING will have \"x\" as the variable", "session_id": 11837, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "so if i said. i want H written as respect to x", "session_id": 11837, "sequence_id": 60, "annotations": []}
{"role": "student", "content": "ohhhh", "session_id": 11837, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "then I would need to have H as like x^2 + 2x for example", "session_id": 11837, "sequence_id": 62, "annotations": []}
{"role": "student", "content": "so it would need to have the same value", "session_id": 11837, "sequence_id": 63, "annotations": []}
{"role": "student", "content": "x and h", "session_id": 11837, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "Can you specify a litttle more?", "session_id": 11837, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "And in this case, H IS written with respect to x because H(x)=f(x)-g(x)", "session_id": 11837, "sequence_id": 66, "annotations": []}
{"role": "student", "content": "ohhhh wait nevermind", "session_id": 11837, "sequence_id": 67, "annotations": []}
{"role": "student", "content": "i think i get it now", "session_id": 11837, "sequence_id": 68, "annotations": []}
{"role": "student", "content": "in the function, it uses x in the parentheses", "session_id": 11837, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "--> if I was given an eq. 2y=8x-2. and it said. find y with respect to X i would have to find y = 4x-1 hence the answer would be JUST 4x-1 because it only has X in it", "session_id": 11837, "sequence_id": 70, "annotations": []}
{"role": "student", "content": "ohhhh alright", "session_id": 11837, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "Yup! and if you expand f(x) it is only consisted of variable x", "session_id": 11837, "sequence_id": 72, "annotations": []}
{"role": "student", "content": "yes", "session_id": 11837, "sequence_id": 73, "annotations": []}
{"role": "student", "content": "that makes a lot more sense, thank u for the explanation", "session_id": 11837, "sequence_id": 74, "annotations": []}
{"role": "volunteer", "content": "Of course!", "session_id": 11837, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "Any more questions on the 1st or can we move on?", "session_id": 11837, "sequence_id": 76, "annotations": []}
{"role": "student", "content": "we can move on", "session_id": 11837, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "Wait sorry, one quick thing. when it says rate. just think derivative.", "session_id": 11837, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "when it also says slope", "session_id": 11837, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "think derivative!", "session_id": 11837, "sequence_id": 80, "annotations": []}
{"role": "student", "content": "ohhh alright, got it", "session_id": 11837, "sequence_id": 81, "annotations": []}
{"role": "student", "content": "f'(x)", "session_id": 11837, "sequence_id": 82, "annotations": []}
{"role": "volunteer", "content": "To find the slope of a graph you need the exact points (x,y)", "session_id": 11837, "sequence_id": 83, "annotations": []}
{"role": "volunteer", "content": "in this case, we have the y value which is (y=0) because it crosses the x axis which is when y=0", "session_id": 11837, "sequence_id": 84, "annotations": []}
{"role": "volunteer", "content": "but we dont have an x value", "session_id": 11837, "sequence_id": 85, "annotations": []}
{"role": "volunteer", "content": "hence we solve the y= eq to find x", "session_id": 11837, "sequence_id": 86, "annotations": []}
{"role": "student", "content": "ohh ok", "session_id": 11837, "sequence_id": 87, "annotations": []}
{"role": "volunteer", "content": "Do you know the rule", "session_id": 11837, "sequence_id": 88, "annotations": []}
{"role": "student", "content": "uhh no, i forgot them", "session_id": 11837, "sequence_id": 89, "annotations": []}
{"role": "volunteer", "content": "where you place an Ln infront of an e^() and the e disappears and the () comes down", "session_id": 11837, "sequence_id": 90, "annotations": []}
{"role": "student", "content": "ah ok", "session_id": 11837, "sequence_id": 91, "annotations": []}
{"role": "volunteer", "content": "We have found an x value", "session_id": 11837, "sequence_id": 92, "annotations": []}
{"role": "volunteer", "content": "so the question asking", "session_id": 11837, "sequence_id": 93, "annotations": []}
{"role": "volunteer", "content": "\"at this point\"", "session_id": 11837, "sequence_id": 94, "annotations": []}
{"role": "volunteer", "content": "that point would be (ln3/5 , 0)", "session_id": 11837, "sequence_id": 95, "annotations": []}
{"role": "volunteer", "content": "Does that p[art make sense?", "session_id": 11837, "sequence_id": 96, "annotations": []}
{"role": "student", "content": "ohhh yes", "session_id": 11837, "sequence_id": 97, "annotations": []}
{"role": "student", "content": "could we do point-slope form to find the slope?", "session_id": 11837, "sequence_id": 98, "annotations": []}
{"role": "volunteer", "content": "Since you are only finding the slope in this case, you dont need point slope", "session_id": 11837, "sequence_id": 99, "annotations": []}
{"role": "volunteer", "content": "BUT if you are asked to find the tangent line of a certain poiont", "session_id": 11837, "sequence_id": 100, "annotations": []}
{"role": "volunteer", "content": "then you would use point slope", "session_id": 11837, "sequence_id": 101, "annotations": []}
{"role": "student", "content": "ah alright", "session_id": 11837, "sequence_id": 102, "annotations": []}
{"role": "volunteer", "content": "(point slope ius also easier to make rather than the normal mx+b form)", "session_id": 11837, "sequence_id": 103, "annotations": []}
{"role": "volunteer", "content": "Now, as I said the question states find the slope", "session_id": 11837, "sequence_id": 104, "annotations": []}
{"role": "volunteer", "content": "In other words that would mean find the ..??????????????", "session_id": 11837, "sequence_id": 105, "annotations": []}
{"role": "student", "content": "rise/run?", "session_id": 11837, "sequence_id": 106, "annotations": []}
{"role": "volunteer", "content": "yes! that is also correct", "session_id": 11837, "sequence_id": 107, "annotations": []}
{"role": "volunteer", "content": "It also means find the derivative!", "session_id": 11837, "sequence_id": 108, "annotations": []}
{"role": "student", "content": "ohhh yea", "session_id": 11837, "sequence_id": 109, "annotations": []}
{"role": "volunteer", "content": ":>", "session_id": 11837, "sequence_id": 110, "annotations": []}
{"role": "volunteer", "content": "just a reminder", "session_id": 11837, "sequence_id": 111, "annotations": []}
{"role": "volunteer", "content": "the most important thing I want you to take from today is", "session_id": 11837, "sequence_id": 112, "annotations": []}
{"role": "volunteer", "content": "slope = derivative.", "session_id": 11837, "sequence_id": 113, "annotations": []}
{"role": "volunteer", "content": "not literally but if it says slope in the problem. the FIRST thing that you should think in ur head is", "session_id": 11837, "sequence_id": 114, "annotations": []}
{"role": "volunteer", "content": "derivative", "session_id": 11837, "sequence_id": 115, "annotations": []}
{"role": "student", "content": "ah ok", "session_id": 11837, "sequence_id": 116, "annotations": []}
{"role": "student", "content": "rate = derivative too?", "session_id": 11837, "sequence_id": 117, "annotations": []}
{"role": "volunteer", "content": "Ok great!", "session_id": 11837, "sequence_id": 118, "annotations": []}
{"role": "volunteer", "content": "rate of change is also derivative", "session_id": 11837, "sequence_id": 119, "annotations": []}
{"role": "volunteer", "content": "because rate of change is basically slope. which is derivative :>", "session_id": 11837, "sequence_id": 120, "annotations": []}
{"role": "student", "content": "oh yea right", "session_id": 11837, "sequence_id": 121, "annotations": []}
{"role": "volunteer", "content": "Now back to the problem", "session_id": 11837, "sequence_id": 122, "annotations": []}
{"role": "volunteer", "content": "we have found the point for x and y", "session_id": 11837, "sequence_id": 123, "annotations": []}
{"role": "volunteer", "content": "now we derive the eq.", "session_id": 11837, "sequence_id": 124, "annotations": []}
{"role": "volunteer", "content": "3-e^(5x)", "session_id": 11837, "sequence_id": 125, "annotations": []}
{"role": "volunteer", "content": "Do you know how to derive that?", "session_id": 11837, "sequence_id": 126, "annotations": []}
{"role": "student", "content": "in a calculator, yes", "session_id": 11837, "sequence_id": 127, "annotations": []}
{"role": "volunteer", "content": "Have you learned chain rule yet>", "session_id": 11837, "sequence_id": 128, "annotations": []}
{"role": "student", "content": "uhh no", "session_id": 11837, "sequence_id": 129, "annotations": []}
{"role": "volunteer", "content": "?*", "session_id": 11837, "sequence_id": 130, "annotations": []}
{"role": "volunteer", "content": "Have you learned power rule?", "session_id": 11837, "sequence_id": 131, "annotations": []}
{"role": "student", "content": "but i heard its like putting exponent in front of number or smth", "session_id": 11837, "sequence_id": 132, "annotations": []}
{"role": "student", "content": "no we're only on 2.3", "session_id": 11837, "sequence_id": 133, "annotations": []}
{"role": "student", "content": "estimating derivatives", "session_id": 11837, "sequence_id": 134, "annotations": []}
{"role": "volunteer", "content": "Ohhh", "session_id": 11837, "sequence_id": 135, "annotations": []}
{"role": "volunteer", "content": "Sorry about that. You will learn derivatives in unit 3 probably", "session_id": 11837, "sequence_id": 136, "annotations": []}
{"role": "student", "content": "ohh alright", "session_id": 11837, "sequence_id": 137, "annotations": []}
{"role": "volunteer", "content": "Ok since you are allowed desmos,", "session_id": 11837, "sequence_id": 138, "annotations": []}
{"role": "volunteer", "content": "heress what i would do", "session_id": 11837, "sequence_id": 139, "annotations": []}
{"role": "volunteer", "content": "input f(x)=3-e^(5x) into desmos", "session_id": 11837, "sequence_id": 140, "annotations": []}
{"role": "volunteer", "content": "and then find f'(ln3/5)", "session_id": 11837, "sequence_id": 141, "annotations": []}
{"role": "student", "content": "ok", "session_id": 11837, "sequence_id": 142, "annotations": []}
{"role": "volunteer", "content": "When youre done, tell me what you got!", "session_id": 11837, "sequence_id": 143, "annotations": []}
{"role": "student", "content": "=-15", "session_id": 11837, "sequence_id": 144, "annotations": []}
{"role": "volunteer", "content": "Correct!!", "session_id": 11837, "sequence_id": 145, "annotations": []}
{"role": "volunteer", "content": "Now, pop quiz.", "session_id": 11837, "sequence_id": 146, "annotations": []}
{"role": "volunteer", "content": "what if the q asked", "session_id": 11837, "sequence_id": 147, "annotations": []}
{"role": "volunteer", "content": "find the eq of the tangent line at this point", "session_id": 11837, "sequence_id": 148, "annotations": []}
{"role": "volunteer", "content": "(ln3/5 , 0)", "session_id": 11837, "sequence_id": 149, "annotations": []}
{"role": "student", "content": "use point-slope form?", "session_id": 11837, "sequence_id": 150, "annotations": []}
{"role": "volunteer", "content": "Yes!", "session_id": 11837, "sequence_id": 151, "annotations": []}
{"role": "student", "content": "y - 0 = m(x - ln3/5)", "session_id": 11837, "sequence_id": 152, "annotations": []}
{"role": "volunteer", "content": "And what is m?", "session_id": 11837, "sequence_id": 153, "annotations": []}
{"role": "student", "content": "y - 0 = -15(x - ln3/5)", "session_id": 11837, "sequence_id": 154, "annotations": []}
{"role": "volunteer", "content": "Perfect :>", "session_id": 11837, "sequence_id": 155, "annotations": []}
{"role": "student", "content": "yay :D", "session_id": 11837, "sequence_id": 156, "annotations": []}
{"role": "volunteer", "content": "Can we move onto the last q?", "session_id": 11837, "sequence_id": 157, "annotations": []}
{"role": "student", "content": "yupp", "session_id": 11837, "sequence_id": 158, "annotations": []}
{"role": "volunteer", "content": "Great.", "session_id": 11837, "sequence_id": 159, "annotations": []}
{"role": "volunteer", "content": "Oh one thing before", "session_id": 11837, "sequence_id": 160, "annotations": []}
{"role": "volunteer", "content": "in calc. if it says tangent line", "session_id": 11837, "sequence_id": 161, "annotations": []}
{"role": "volunteer", "content": "it doesnt mean", "session_id": 11837, "sequence_id": 162, "annotations": []}
{"role": "volunteer", "content": "the literal tangent like the sine cosine tangent", "session_id": 11837, "sequence_id": 163, "annotations": []}
{"role": "student", "content": "it means like that one line that only touches a point once right", "session_id": 11837, "sequence_id": 164, "annotations": []}
{"role": "volunteer", "content": "Yes!", "session_id": 11837, "sequence_id": 165, "annotations": []}
{"role": "student", "content": "\ud83d\udc4d", "session_id": 11837, "sequence_id": 166, "annotations": []}
{"role": "volunteer", "content": "Now, with everything weve covered today. Could you tell me --> the q asks slope", "session_id": 11837, "sequence_id": 167, "annotations": []}
{"role": "volunteer", "content": "what do you think one of the steps will be since it says slope?", "session_id": 11837, "sequence_id": 168, "annotations": []}
{"role": "student", "content": "finding the derivative of the tangent line", "session_id": 11837, "sequence_id": 169, "annotations": []}
{"role": "student", "content": "f'(x)", "session_id": 11837, "sequence_id": 170, "annotations": []}
{"role": "volunteer", "content": ":>", "session_id": 11837, "sequence_id": 171, "annotations": []}
{"role": "student", "content": ":)", "session_id": 11837, "sequence_id": 172, "annotations": []}
{"role": "volunteer", "content": "here. greatest slope would mean what x value would give the function f'(x) the greatest #", "session_id": 11837, "sequence_id": 173, "annotations": []}
{"role": "volunteer", "content": "now desmos...", "session_id": 11837, "sequence_id": 174, "annotations": []}
{"role": "volunteer", "content": "g(x)=x^3-e^x-sinx into desmos", "session_id": 11837, "sequence_id": 175, "annotations": []}
{"role": "volunteer", "content": "and then unfortuantely, you would have to go through each choice", "session_id": 11837, "sequence_id": 176, "annotations": []}
{"role": "volunteer", "content": "so you would input", "session_id": 11837, "sequence_id": 177, "annotations": []}
{"role": "volunteer", "content": "g'(-3)", "session_id": 11837, "sequence_id": 178, "annotations": []}
{"role": "volunteer", "content": "g'(-1)", "session_id": 11837, "sequence_id": 179, "annotations": []}
{"role": "volunteer", "content": "g'(0)", "session_id": 11837, "sequence_id": 180, "annotations": []}
{"role": "volunteer", "content": "and so on", "session_id": 11837, "sequence_id": 181, "annotations": []}
{"role": "volunteer", "content": "and then see what gives you thje largest value", "session_id": 11837, "sequence_id": 182, "annotations": []}
{"role": "volunteer", "content": "what x value gives you the largest numbner*", "session_id": 11837, "sequence_id": 183, "annotations": []}
{"role": "student", "content": "g'(-3)", "session_id": 11837, "sequence_id": 184, "annotations": []}
{"role": "volunteer", "content": "What did you get for g'(-3)", "session_id": 11837, "sequence_id": 185, "annotations": []}
{"role": "student", "content": "27.940", "session_id": 11837, "sequence_id": 186, "annotations": []}
{"role": "volunteer", "content": "Great :>", "session_id": 11837, "sequence_id": 187, "annotations": []}
{"role": "student", "content": "i thought there'd be a more conventional way to solve this lol", "session_id": 11837, "sequence_id": 188, "annotations": []}
{"role": "student", "content": "without having to substitute everything", "session_id": 11837, "sequence_id": 189, "annotations": []}
{"role": "volunteer", "content": "Now Im not sure how your teacher expects \"showing your work\" but for the AP exam, since it is an mcq problem. you dont have to show any work! just circle and move on", "session_id": 11837, "sequence_id": 190, "annotations": []}
{"role": "volunteer", "content": "There IS a diff way to solve this.", "session_id": 11837, "sequence_id": 191, "annotations": []}
{"role": "volunteer", "content": "the approach is still the same", "session_id": 11837, "sequence_id": 192, "annotations": []}
{"role": "volunteer", "content": "on Desmos", "session_id": 11837, "sequence_id": 193, "annotations": []}
{"role": "volunteer", "content": "graph g(x)", "session_id": 11837, "sequence_id": 194, "annotations": []}
{"role": "volunteer", "content": "and then also grpah g'(x)", "session_id": 11837, "sequence_id": 195, "annotations": []}
{"role": "volunteer", "content": "I recommend clicking the circle on the left of g(x) so you only see the graph of g'(x)", "session_id": 11837, "sequence_id": 196, "annotations": []}
{"role": "student", "content": "ohhh", "session_id": 11837, "sequence_id": 197, "annotations": []}
{"role": "volunteer", "content": "Sorry* there are 2 diff ways", "session_id": 11837, "sequence_id": 198, "annotations": []}
{"role": "student", "content": "its ok", "session_id": 11837, "sequence_id": 199, "annotations": []}
{"role": "volunteer", "content": "Ok the first one is pretty logical but it may not work for ALL because it requires \"eyes\"", "session_id": 11837, "sequence_id": 200, "annotations": []}
{"role": "volunteer", "content": ":>", "session_id": 11837, "sequence_id": 201, "annotations": []}
{"role": "volunteer", "content": "Heres how.", "session_id": 11837, "sequence_id": 202, "annotations": []}
{"role": "volunteer", "content": "graph g(x)", "session_id": 11837, "sequence_id": 203, "annotations": []}
{"role": "volunteer", "content": "only g(x)", "session_id": 11837, "sequence_id": 204, "annotations": []}
{"role": "volunteer", "content": "it would look sometihng like this", "session_id": 11837, "sequence_id": 205, "annotations": []}
{"role": "student", "content": "yup", "session_id": 11837, "sequence_id": 206, "annotations": []}
{"role": "volunteer", "content": "Now,", "session_id": 11837, "sequence_id": 207, "annotations": []}
{"role": "volunteer", "content": "(this isnt the best method but it is A method)", "session_id": 11837, "sequence_id": 208, "annotations": []}
{"role": "volunteer", "content": "slope is rise / run like you previuosly said", "session_id": 11837, "sequence_id": 209, "annotations": []}
{"role": "volunteer", "content": "the q is asking for the greatest slope", "session_id": 11837, "sequence_id": 210, "annotations": []}
{"role": "volunteer", "content": "aka", "session_id": 11837, "sequence_id": 211, "annotations": []}
{"role": "volunteer", "content": "the steepest part of this graph", "session_id": 11837, "sequence_id": 212, "annotations": []}
{"role": "student", "content": "ohhh so we look at the steepest part", "session_id": 11837, "sequence_id": 213, "annotations": []}
{"role": "volunteer", "content": "If you just look at it", "session_id": 11837, "sequence_id": 214, "annotations": []}
{"role": "volunteer", "content": "it kind of looks like", "session_id": 11837, "sequence_id": 215, "annotations": []}
{"role": "volunteer", "content": "at x=-3", "session_id": 11837, "sequence_id": 216, "annotations": []}
{"role": "student", "content": "yes", "session_id": 11837, "sequence_id": 217, "annotations": []}
{"role": "volunteer", "content": "g(x) will PROBNABLY have the sttepest slope", "session_id": 11837, "sequence_id": 218, "annotations": []}
{"role": "volunteer", "content": "but you probably cant guarantee it without finding actual values right?", "session_id": 11837, "sequence_id": 219, "annotations": []}
{"role": "student", "content": "yes", "session_id": 11837, "sequence_id": 220, "annotations": []}
{"role": "volunteer", "content": "Now, here is where the 2nd method comes in", "session_id": 11837, "sequence_id": 221, "annotations": []}
{"role": "volunteer", "content": "graph g'(x)", "session_id": 11837, "sequence_id": 222, "annotations": []}
{"role": "volunteer", "content": "Scroll down on the canvas to see the new graph*", "session_id": 11837, "sequence_id": 223, "annotations": []}
{"role": "student", "content": "\ud83d\udc4d", "session_id": 11837, "sequence_id": 224, "annotations": []}
{"role": "volunteer", "content": "Now heres one thing to keep in mind", "session_id": 11837, "sequence_id": 225, "annotations": []}
{"role": "volunteer", "content": "this is the graph of the SLOPE", "session_id": 11837, "sequence_id": 226, "annotations": []}
{"role": "volunteer", "content": "meaning, you arent finding steepest part of this graph", "session_id": 11837, "sequence_id": 227, "annotations": []}
{"role": "volunteer", "content": "you are finding the greatest y value of this graph", "session_id": 11837, "sequence_id": 228, "annotations": []}
{"role": "volunteer", "content": "Just by lookiung at it", "session_id": 11837, "sequence_id": 229, "annotations": []}
{"role": "volunteer", "content": "its obvious that", "session_id": 11837, "sequence_id": 230, "annotations": []}
{"role": "volunteer", "content": "from x=-3", "session_id": 11837, "sequence_id": 231, "annotations": []}
{"role": "volunteer", "content": "to x=3", "session_id": 11837, "sequence_id": 232, "annotations": []}
{"role": "volunteer", "content": "the biggest y value", "session_id": 11837, "sequence_id": 233, "annotations": []}
{"role": "volunteer", "content": "seems to be at x=-3", "session_id": 11837, "sequence_id": 234, "annotations": []}
{"role": "student", "content": "yes", "session_id": 11837, "sequence_id": 235, "annotations": []}
{"role": "volunteer", "content": "because every other integer betwen is smaller", "session_id": 11837, "sequence_id": 236, "annotations": []}
{"role": "student", "content": "yup", "session_id": 11837, "sequence_id": 237, "annotations": []}
{"role": "volunteer", "content": "hence. you can conclude that g(x) has the greatest slope at x=-3", "session_id": 11837, "sequence_id": 238, "annotations": []}
{"role": "student", "content": "ah, that's clever", "session_id": 11837, "sequence_id": 239, "annotations": []}
{"role": "volunteer", "content": "you can also confirm by finding the y coordinate at x=-3 by writing x=-3 on desmos and then clicking the intersection point of x=-3 line and the g'(x) graph", "session_id": 11837, "sequence_id": 240, "annotations": []}
{"role": "volunteer", "content": ":>", "session_id": 11837, "sequence_id": 241, "annotations": []}
{"role": "student", "content": "ohhhh i see", "session_id": 11837, "sequence_id": 242, "annotations": []}
{"role": "volunteer", "content": "HEres something to know", "session_id": 11837, "sequence_id": 243, "annotations": []}
{"role": "volunteer", "content": "Youll probably learn this later on too. but it really help[s understand it. because it covers concepts and includes THINKING :>", "session_id": 11837, "sequence_id": 244, "annotations": []}
{"role": "volunteer", "content": "nothing big trust me", "session_id": 11837, "sequence_id": 245, "annotations": []}
{"role": "volunteer", "content": "going back to the g(x) graph", "session_id": 11837, "sequence_id": 246, "annotations": []}
{"role": "volunteer", "content": "Do you see the 2 dots", "session_id": 11837, "sequence_id": 247, "annotations": []}
{"role": "student", "content": "yes", "session_id": 11837, "sequence_id": 248, "annotations": []}
{"role": "volunteer", "content": "those are max and min of g(x) right", "session_id": 11837, "sequence_id": 249, "annotations": []}
{"role": "student", "content": "yes", "session_id": 11837, "sequence_id": 250, "annotations": []}
{"role": "volunteer", "content": "for at least this domain ofx=-3 and x=3", "session_id": 11837, "sequence_id": 251, "annotations": []}
{"role": "volunteer", "content": "now. do you know what the slope of these 2 points are?", "session_id": 11837, "sequence_id": 252, "annotations": []}
{"role": "volunteer", "content": "hint: theyre the same slope", "session_id": 11837, "sequence_id": 253, "annotations": []}
{"role": "volunteer", "content": "slope AT that point", "session_id": 11837, "sequence_id": 254, "annotations": []}
{"role": "volunteer", "content": "those 2 specific points", "session_id": 11837, "sequence_id": 255, "annotations": []}
{"role": "volunteer", "content": "The slope is 0 \":>", "session_id": 11837, "sequence_id": 256, "annotations": []}
{"role": "student", "content": "wait what", "session_id": 11837, "sequence_id": 257, "annotations": []}
{"role": "student", "content": "but i thought horizontal line", "session_id": 11837, "sequence_id": 258, "annotations": []}
{"role": "student", "content": "meant slope of 0", "session_id": 11837, "sequence_id": 259, "annotations": []}
{"role": "volunteer", "content": "Yes!", "session_id": 11837, "sequence_id": 260, "annotations": []}
{"role": "volunteer", "content": "the tangent of those 2 points will be 0", "session_id": 11837, "sequence_id": 261, "annotations": []}
{"role": "volunteer", "content": "oh shoot sorry. did you understand it as BETWEEN those 2 points?", "session_id": 11837, "sequence_id": 262, "annotations": []}
{"role": "student", "content": "yes", "session_id": 11837, "sequence_id": 263, "annotations": []}
{"role": "student", "content": "lol", "session_id": 11837, "sequence_id": 264, "annotations": []}
{"role": "volunteer", "content": "oopsies", "session_id": 11837, "sequence_id": 265, "annotations": []}
{"role": "volunteer", "content": "I meant at those 2 points separately sorry", "session_id": 11837, "sequence_id": 266, "annotations": []}
{"role": "student", "content": "no worries", "session_id": 11837, "sequence_id": 267, "annotations": []}
{"role": "volunteer", "content": "Ok lets just focus on one then", "session_id": 11837, "sequence_id": 268, "annotations": []}
{"role": "volunteer", "content": "the maximum", "session_id": 11837, "sequence_id": 269, "annotations": []}
{"role": "volunteer", "content": "the left one", "session_id": 11837, "sequence_id": 270, "annotations": []}
{"role": "student", "content": "alright", "session_id": 11837, "sequence_id": 271, "annotations": []}
{"role": "volunteer", "content": "slope is 0", "session_id": 11837, "sequence_id": 272, "annotations": []}
{"role": "volunteer", "content": "that would mean", "session_id": 11837, "sequence_id": 273, "annotations": []}
{"role": "volunteer", "content": "if you were told to DRAW", "session_id": 11837, "sequence_id": 274, "annotations": []}
{"role": "volunteer", "content": "the g'(x) graph", "session_id": 11837, "sequence_id": 275, "annotations": []}
{"role": "volunteer", "content": "without a calculator", "session_id": 11837, "sequence_id": 276, "annotations": []}
{"role": "volunteer", "content": "given that the maximum occurs when x=-2 lets say", "session_id": 11837, "sequence_id": 277, "annotations": []}
{"role": "volunteer", "content": "what y coord will the g'(x) graph be when x=-2", "session_id": 11837, "sequence_id": 278, "annotations": []}
{"role": "student", "content": "0?", "session_id": 11837, "sequence_id": 279, "annotations": []}
{"role": "volunteer", "content": ":>", "session_id": 11837, "sequence_id": 280, "annotations": []}
{"role": "volunteer", "content": "Correct!", "session_id": 11837, "sequence_id": 281, "annotations": []}
{"role": "student", "content": "yay", "session_id": 11837, "sequence_id": 282, "annotations": []}
{"role": "student", "content": ":D", "session_id": 11837, "sequence_id": 283, "annotations": []}
{"role": "volunteer", "content": "slope of 0 of g(x) would mean g'(x) has a y value of 0 at that x point", "session_id": 11837, "sequence_id": 284, "annotations": []}
{"role": "student", "content": "yes", "session_id": 11837, "sequence_id": 285, "annotations": []}
{"role": "volunteer", "content": "summarize: f (max) = f' at y = 0 \nf (min) = f' at y = 0", "session_id": 11837, "sequence_id": 286, "annotations": []}
{"role": "volunteer", "content": "thats pretty much it!", "session_id": 11837, "sequence_id": 287, "annotations": []}
{"role": "student", "content": "ah alright, i think i mostly understand it", "session_id": 11837, "sequence_id": 288, "annotations": []}
{"role": "volunteer", "content": "Ok!", "session_id": 11837, "sequence_id": 289, "annotations": []}
{"role": "volunteer", "content": "Any more questions?", "session_id": 11837, "sequence_id": 290, "annotations": []}
{"role": "volunteer", "content": "Or anything else youre still confsued on", "session_id": 11837, "sequence_id": 291, "annotations": []}
{"role": "student", "content": "nope, but thanks!", "session_id": 11837, "sequence_id": 292, "annotations": []}
{"role": "student", "content": "and thank you so much for all ur help!", "session_id": 11837, "sequence_id": 293, "annotations": []}
{"role": "volunteer", "content": "Ok sounds good!", "session_id": 11837, "sequence_id": 294, "annotations": []}
{"role": "student", "content": "have a great day!", "session_id": 11837, "sequence_id": 295, "annotations": []}
{"role": "volunteer", "content": "Thank you. Chris!!", "session_id": 11837, "sequence_id": 296, "annotations": [{"pii_type": "PERSON", "surrogate": "Chris", "start": 11, "end": 16}]}
{"role": "student", "content": "thank you!!", "session_id": 11837, "sequence_id": 297, "annotations": []}
{"role": "volunteer", "content": "hi Alice", "session_id": 11991, "sequence_id": 0, "annotations": [{"pii_type": "PERSON", "surrogate": "Alice", "start": 3, "end": 8}]}
{"role": "student", "content": "Hi!", "session_id": 11991, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "I need help with one question today, I'll upload it on the whiteboard.", "session_id": 11991, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 11991, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "I see it", "session_id": 11991, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "you start with what they give you", "session_id": 11991, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "fill in new facts that you can infer from there.", "session_id": 11991, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "do you see anything you can infer?", "session_id": 11991, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "they gave you 3 facts: parallel lines, 120 degrees, 80 degrees", "session_id": 11991, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "do you see how to infer anything at all from those facts?", "session_id": 11991, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 11991, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "ok, go ahead", "session_id": 11991, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "since they are parallel lines the angle right underneath the 80 degrees would also be 80 degrees", "session_id": 11991, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "and the one above 100 is 120 degrees", "session_id": 11991, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "first one doesn't help, second one does", "session_id": 11991, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "how about the angle with the purple arc  and green arrow pointing to it?", "session_id": 11991, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "supplementary?", "session_id": 11991, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "it would 60 degrees?", "session_id": 11991, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "yeah", "session_id": 11991, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "triangle. you know 2 of the angles.", "session_id": 11991, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "oh,  wait", "session_id": 11991, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "wouldnt this angle be 60?", "session_id": 11991, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "that's what I was fixing", "session_id": 11991, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "red triangle", "session_id": 11991, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "ohh okay", "session_id": 11991, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "you know 2 angles. how much is x?", "session_id": 11991, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "100+60+x=180 so x would be 20?", "session_id": 11991, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 11991, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "done", "session_id": 11991, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "thank you!", "session_id": 11991, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "yw", "session_id": 11991, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "bye", "session_id": 11991, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "bye!", "session_id": 11991, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "have a great rest of your day", "session_id": 11991, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "Hi Ben! How can I help today?", "session_id": 11850, "sequence_id": 0, "annotations": [{"pii_type": "PERSON", "surrogate": "Ben", "start": 3, "end": 6}]}
{"role": "student", "content": "i am having a difficult time completing this assignment", "session_id": 11850, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "Okay, I can help with that. Would you like to start with the first problem?", "session_id": 11850, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "I've finished the first one I think", "session_id": 11850, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "Okay, sounds good. Where would you like to start then?", "session_id": 11850, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "number two", "session_id": 11850, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "please", "session_id": 11850, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "Great! Can you start with part a, and then we'll move on from there? I can help you if you get stuck", "session_id": 11850, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "so i think i had a to be t=5", "session_id": 11850, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "but I forgot what units", "session_id": 11850, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "i said minutes", "session_id": 11850, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "The units are seconds, because it says \"time is measured in seconds,\" but you got the right value for t", "session_id": 11850, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "Do you understand why that is, or should I clarify anything?", "session_id": 11850, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "I believe I do", "session_id": 11850, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "Would you like to move to part b?", "session_id": 11850, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "yes please", "session_id": 11850, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "I will write what I did on the white board", "session_id": 11850, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "sounds good", "session_id": 11850, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "That's the right expression for v(t)", "session_id": 11850, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "I don't really know what you did after getting v(t)", "session_id": 11850, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "I thought sense it is asking for how fast I have to do acceleration, but it's just a number not a function", "session_id": 11850, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "or polynomial... I forget what its called", "session_id": 11850, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "For part b, what is it asking for, mathematically?", "session_id": 11850, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "how fast it is going at 1 second", "session_id": 11850, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "Good! Can you express that as a function evaluated at a specific value?", "session_id": 11850, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "I don't know which function to use", "session_id": 11850, "sequence_id": 25, "annotations": []}
{"role": "student", "content": ":(", "session_id": 11850, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "That's okay. Can you give me the definitions of position, velocity, and acceleration in words? It's one of those 3", "session_id": 11850, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "position is the original function so f(x), velocity is f'(x), and acceleration is f''(x)", "session_id": 11850, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "Good! How about in terms of the problem, what do the function, the derivative, and the second derivative mean in terms of the motion of the balloon?", "session_id": 11850, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "ummm.... I have no idea, sorry", "session_id": 11850, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "accelaration is how fast it is going?", "session_id": 11850, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "velocity is where?", "session_id": 11850, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "Let's start with s(t). The problem gives us that this is the balloon's position. Can you express that in your own words?", "session_id": 11850, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "The balloon reaches a maximum height of t^2+3t+5", "session_id": 11850, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "?", "session_id": 11850, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "Good idea, but it's not the maximum height, it's a function of time.", "session_id": 11850, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "Could you explain what the statement s(0)=5 means?", "session_id": 11850, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "at time zero the balloon was 5 feet high", "session_id": 11850, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "Perfect!", "session_id": 11850, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "What about the statement s'(0)=3?", "session_id": 11850, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "does it say the same thing? at time zero the balloon was 3 feet high?", "session_id": 11850, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "or is it switched around", "session_id": 11850, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "at time 3 it was at zero feet", "session_id": 11850, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "Not quite. The derivative is the rate of change", "session_id": 11850, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "In this case, it's the rate of change of position with respect to time", "session_id": 11850, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "That means that position is changing at a specific rate in time", "session_id": 11850, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "so every 0 seconds it gains three feet?", "session_id": 11850, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "Not quite, it means that the balloon is rising at 3 feet per second", "session_id": 11850, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "But good idea!", "session_id": 11850, "sequence_id": 49, "annotations": []}
{"role": "student", "content": "so.... if the time increment was hours it would be rising 3 feet per hour even though the parenthesis say 0", "session_id": 11850, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "Exactly!", "session_id": 11850, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "The 0 means that this is the rate of increase at that time", "session_id": 11850, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "For example, at some times the balloon might be rising and at other times it might be falling, and at some times it might be rising faster than other times", "session_id": 11850, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "That's why s'(0) can be different than s'(1), for example", "session_id": 11850, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "The rate can change", "session_id": 11850, "sequence_id": 55, "annotations": []}
{"role": "student", "content": "so would I use velocity function", "session_id": 11850, "sequence_id": 56, "annotations": []}
{"role": "student", "content": "the", "session_id": 11850, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "Perfect!", "session_id": 11850, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "So what would be your answer to part b?", "session_id": 11850, "sequence_id": 59, "annotations": []}
{"role": "student", "content": "5", "session_id": 11850, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "Exactly!", "session_id": 11850, "sequence_id": 61, "annotations": []}
{"role": "student", "content": "ft/sec^2?", "session_id": 11850, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "Good try, but not quite", "session_id": 11850, "sequence_id": 63, "annotations": []}
{"role": "student", "content": "ft/sec", "session_id": 11850, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "Correct, can you explain why that is?", "session_id": 11850, "sequence_id": 65, "annotations": []}
{"role": "student", "content": "because for every 1 sec it goes up five feet", "session_id": 11850, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "Great!", "session_id": 11850, "sequence_id": 67, "annotations": []}
{"role": "student", "content": "or down", "session_id": 11850, "sequence_id": 68, "annotations": []}
{"role": "student", "content": "right?", "session_id": 11850, "sequence_id": 69, "annotations": []}
{"role": "student", "content": "does velocity care about direction", "session_id": 11850, "sequence_id": 70, "annotations": []}
{"role": "student", "content": "or is that speed", "session_id": 11850, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "Velocity does care about direction. Speed does not. Speed is the absolute value of velocity, AKA the magnitude", "session_id": 11850, "sequence_id": 72, "annotations": []}
{"role": "student", "content": "ok", "session_id": 11850, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "Do you have any questions, or should we move on to the next problem?", "session_id": 11850, "sequence_id": 74, "annotations": []}
{"role": "student", "content": "not anymore", "session_id": 11850, "sequence_id": 75, "annotations": []}
{"role": "student", "content": "would c then be 11 ft/sec", "session_id": 11850, "sequence_id": 76, "annotations": []}
{"role": "student", "content": "because it is the same formula", "session_id": 11850, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "Yes", "session_id": 11850, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "That's correct", "session_id": 11850, "sequence_id": 79, "annotations": []}
{"role": "student", "content": "didn't I already answer d though for a?", "session_id": 11850, "sequence_id": 80, "annotations": []}
{"role": "student", "content": "wait nevermind", "session_id": 11850, "sequence_id": 81, "annotations": []}
{"role": "student", "content": "I use v(t) function instead right", "session_id": 11850, "sequence_id": 82, "annotations": []}
{"role": "volunteer", "content": "Exactly!", "session_id": 11850, "sequence_id": 83, "annotations": []}
{"role": "student", "content": "does it equal 21 ft/sec", "session_id": 11850, "sequence_id": 84, "annotations": []}
{"role": "volunteer", "content": "Not quite", "session_id": 11850, "sequence_id": 85, "annotations": []}
{"role": "volunteer", "content": "So the height is 45", "session_id": 11850, "sequence_id": 86, "annotations": []}
{"role": "volunteer", "content": "First we want to find time", "session_id": 11850, "sequence_id": 87, "annotations": []}
{"role": "volunteer", "content": "We already did that", "session_id": 11850, "sequence_id": 88, "annotations": []}
{"role": "volunteer", "content": "At what time is this true?", "session_id": 11850, "sequence_id": 89, "annotations": []}
{"role": "student", "content": "5?", "session_id": 11850, "sequence_id": 90, "annotations": []}
{"role": "volunteer", "content": "Exactly", "session_id": 11850, "sequence_id": 91, "annotations": []}
{"role": "volunteer", "content": "So what's the velocity at that time?", "session_id": 11850, "sequence_id": 92, "annotations": []}
{"role": "student", "content": "13?", "session_id": 11850, "sequence_id": 93, "annotations": []}
{"role": "student", "content": "ft/sec", "session_id": 11850, "sequence_id": 94, "annotations": []}
{"role": "volunteer", "content": "Correct!", "session_id": 11850, "sequence_id": 95, "annotations": []}
{"role": "volunteer", "content": "Any questions, or should we move on to question 3?", "session_id": 11850, "sequence_id": 96, "annotations": []}
{"role": "student", "content": "question 3 please", "session_id": 11850, "sequence_id": 97, "annotations": []}
{"role": "volunteer", "content": "Sounds good", "session_id": 11850, "sequence_id": 98, "annotations": []}
{"role": "student", "content": "what is the point of putting inclined plane?", "session_id": 11850, "sequence_id": 99, "annotations": []}
{"role": "volunteer", "content": "There isn't really one", "session_id": 11850, "sequence_id": 100, "annotations": []}
{"role": "student", "content": "does that affect what I do?", "session_id": 11850, "sequence_id": 101, "annotations": []}
{"role": "volunteer", "content": "It doesn't affect anything", "session_id": 11850, "sequence_id": 102, "annotations": []}
{"role": "volunteer", "content": "Good question though", "session_id": 11850, "sequence_id": 103, "annotations": []}
{"role": "student", "content": "for 3A I just did the velocity function and plugged in two to get 27 cm/sec", "session_id": 11850, "sequence_id": 104, "annotations": []}
{"role": "student", "content": "is that the ruight way?", "session_id": 11850, "sequence_id": 105, "annotations": []}
{"role": "student", "content": "right", "session_id": 11850, "sequence_id": 106, "annotations": []}
{"role": "volunteer", "content": "Give me a second, I'll check that", "session_id": 11850, "sequence_id": 107, "annotations": []}
{"role": "volunteer", "content": "I'm not sure how you got 27", "session_id": 11850, "sequence_id": 108, "annotations": []}
{"role": "student", "content": "I'll write out what I did", "session_id": 11850, "sequence_id": 109, "annotations": []}
{"role": "volunteer", "content": "okay, sounds good", "session_id": 11850, "sequence_id": 110, "annotations": []}
{"role": "student", "content": "sorry my internet keeps glitching out", "session_id": 11850, "sequence_id": 111, "annotations": []}
{"role": "volunteer", "content": "Double check the second term in your velocity expression", "session_id": 11850, "sequence_id": 112, "annotations": []}
{"role": "volunteer", "content": "You almost got it perfect though", "session_id": 11850, "sequence_id": 113, "annotations": []}
{"role": "student", "content": "?", "session_id": 11850, "sequence_id": 114, "annotations": []}
{"role": "volunteer", "content": "The +3 isn't quite right", "session_id": 11850, "sequence_id": 115, "annotations": []}
{"role": "student", "content": "y=3t y'=3?", "session_id": 11850, "sequence_id": 116, "annotations": []}
{"role": "volunteer", "content": "I think you missed the ^2", "session_id": 11850, "sequence_id": 117, "annotations": []}
{"role": "volunteer", "content": "s(t)=2t^3+3t^2+5", "session_id": 11850, "sequence_id": 118, "annotations": []}
{"role": "student", "content": "oh my goodness :(", "session_id": 11850, "sequence_id": 119, "annotations": []}
{"role": "volunteer", "content": "Totally understandable though, and you clearly understand all the material", "session_id": 11850, "sequence_id": 120, "annotations": []}
{"role": "student", "content": "30?", "session_id": 11850, "sequence_id": 121, "annotations": []}
{"role": "student", "content": "cm/sec", "session_id": 11850, "sequence_id": 122, "annotations": []}
{"role": "volunteer", "content": "That's not quite what I got, but your units are correct", "session_id": 11850, "sequence_id": 123, "annotations": []}
{"role": "volunteer", "content": "Double-check the derivative of 3t^2", "session_id": 11850, "sequence_id": 124, "annotations": []}
{"role": "student", "content": "oh dear its 6t", "session_id": 11850, "sequence_id": 125, "annotations": []}
{"role": "volunteer", "content": "That's exactly right!", "session_id": 11850, "sequence_id": 126, "annotations": []}
{"role": "student", "content": "36 cm/sec", "session_id": 11850, "sequence_id": 127, "annotations": []}
{"role": "volunteer", "content": "Perfect", "session_id": 11850, "sequence_id": 128, "annotations": []}
{"role": "volunteer", "content": "Any questions, or would you like to move on to part b?", "session_id": 11850, "sequence_id": 129, "annotations": []}
{"role": "student", "content": "part b please", "session_id": 11850, "sequence_id": 130, "annotations": []}
{"role": "volunteer", "content": "Sounds good", "session_id": 11850, "sequence_id": 131, "annotations": []}
{"role": "student", "content": "do I just set my V(t) function equal to 30?", "session_id": 11850, "sequence_id": 132, "annotations": []}
{"role": "volunteer", "content": "Exactly", "session_id": 11850, "sequence_id": 133, "annotations": []}
{"role": "student", "content": "I got this weird decimal number though. Can a velocity be a decimal?", "session_id": 11850, "sequence_id": 134, "annotations": []}
{"role": "student", "content": "I got 2.121", "session_id": 11850, "sequence_id": 135, "annotations": []}
{"role": "volunteer", "content": "Absolutely!", "session_id": 11850, "sequence_id": 136, "annotations": []}
{"role": "volunteer", "content": "If it's a calculator question, though, you can just have DESMOS do all the work for you", "session_id": 11850, "sequence_id": 137, "annotations": []}
{"role": "volunteer", "content": "If it's not, you should probably leave it unsimplified as (-1+sqrt(21))/2", "session_id": 11850, "sequence_id": 138, "annotations": []}
{"role": "student", "content": "I think these are all calculator questions. Do you think they would be? Escpecially on the AP test?", "session_id": 11850, "sequence_id": 139, "annotations": []}
{"role": "volunteer", "content": "I think they would not", "session_id": 11850, "sequence_id": 140, "annotations": []}
{"role": "volunteer", "content": "For b, though, they would probably make the numbers so your answer is a whole number", "session_id": 11850, "sequence_id": 141, "annotations": []}
{"role": "student", "content": "would my units be cm/sec^2?", "session_id": 11850, "sequence_id": 142, "annotations": []}
{"role": "volunteer", "content": "Why do you say so?", "session_id": 11850, "sequence_id": 143, "annotations": []}
{"role": "student", "content": "umm... because that is one of the units we put somewhere/vaguely remember from class and I thought I should use it sometime....", "session_id": 11850, "sequence_id": 144, "annotations": []}
{"role": "student", "content": "not really a real reason", "session_id": 11850, "sequence_id": 145, "annotations": []}
{"role": "volunteer", "content": "cm/s^2 is used for acceleration", "session_id": 11850, "sequence_id": 146, "annotations": []}
{"role": "volunteer", "content": "The second derivative", "session_id": 11850, "sequence_id": 147, "annotations": []}
{"role": "student", "content": "oh, ok", "session_id": 11850, "sequence_id": 148, "annotations": []}
{"role": "student", "content": "can I ask why?", "session_id": 11850, "sequence_id": 149, "annotations": []}
{"role": "volunteer", "content": "In general for the function itself, you use the base unit, for its derivative, you use the base unit divided by the units of the independent variable, and for the second derivative, you use the base unit divided by the units for the independent variable squared", "session_id": 11850, "sequence_id": 150, "annotations": []}
{"role": "volunteer", "content": "e.g. cm -> cm/s -> cm/s^2", "session_id": 11850, "sequence_id": 151, "annotations": []}
{"role": "volunteer", "content": "This comes out of the definition of the derivative, or you can say it's the limit of rise over run, where the rise is in the base unit and the run is in units of the independent variable", "session_id": 11850, "sequence_id": 152, "annotations": []}
{"role": "volunteer", "content": "For the second derivative, it's the same logic, but the new base units are the old base units divided by the units for the independent variable", "session_id": 11850, "sequence_id": 153, "annotations": []}
{"role": "volunteer", "content": "I can explain if you're confused, but honestly it's fine to memorize this, District board will never ask you to justify units", "session_id": 11850, "sequence_id": 154, "annotations": [{"pii_type": "SCHOOL", "surrogate": "District", "start": 75, "end": 83}]}
{"role": "student", "content": "I think I'll just memorize it. My math brain is choking to death", "session_id": 11850, "sequence_id": 155, "annotations": []}
{"role": "volunteer", "content": "haha relatable :)", "session_id": 11850, "sequence_id": 156, "annotations": []}
{"role": "volunteer", "content": "Any more questions, or should we move on to 4A?", "session_id": 11850, "sequence_id": 157, "annotations": []}
{"role": "student", "content": "sorry, but would the units be cm/sec then?", "session_id": 11850, "sequence_id": 158, "annotations": []}
{"role": "volunteer", "content": "Yes", "session_id": 11850, "sequence_id": 159, "annotations": []}
{"role": "student", "content": "could we do 4 please?", "session_id": 11850, "sequence_id": 160, "annotations": []}
{"role": "volunteer", "content": "Okay", "session_id": 11850, "sequence_id": 161, "annotations": []}
{"role": "student", "content": "I think I know what I'm doing.... but also not", "session_id": 11850, "sequence_id": 162, "annotations": []}
{"role": "student", "content": "here is what I got: a b. A c. slowing down then stopped", "session_id": 11850, "sequence_id": 163, "annotations": []}
{"role": "volunteer", "content": "All correct except for c", "session_id": 11850, "sequence_id": 164, "annotations": []}
{"role": "volunteer", "content": "And by the way if you get 75% on the exam it's way above the mark for a 5", "session_id": 11850, "sequence_id": 165, "annotations": []}
{"role": "student", "content": "really?", "session_id": 11850, "sequence_id": 166, "annotations": []}
{"role": "volunteer", "content": "65% was the last cutoff released", "session_id": 11850, "sequence_id": 167, "annotations": []}
{"role": "student", "content": "I just got  60% on my last exam though", "session_id": 11850, "sequence_id": 168, "annotations": []}
{"role": "volunteer", "content": "So that's a 4", "session_id": 11850, "sequence_id": 169, "annotations": []}
{"role": "volunteer", "content": "Probably", "session_id": 11850, "sequence_id": 170, "annotations": []}
{"role": "volunteer", "content": "It changes by the year", "session_id": 11850, "sequence_id": 171, "annotations": []}
{"role": "student", "content": "I think my teacher said it was 2", "session_id": 11850, "sequence_id": 172, "annotations": []}
{"role": "student", "content": "I did the worst out of my whole class", "session_id": 11850, "sequence_id": 173, "annotations": []}
{"role": "volunteer", "content": "Your teacher is incorrect, at least from what I've seen", "session_id": 11850, "sequence_id": 174, "annotations": []}
{"role": "volunteer", "content": "Unless it's 60% after a curve", "session_id": 11850, "sequence_id": 175, "annotations": []}
{"role": "volunteer", "content": "Then anything is possible based on what the curve was", "session_id": 11850, "sequence_id": 176, "annotations": []}
{"role": "student", "content": "that was before the curve :(", "session_id": 11850, "sequence_id": 177, "annotations": []}
{"role": "volunteer", "content": "So you've got a 4", "session_id": 11850, "sequence_id": 178, "annotations": []}
{"role": "volunteer", "content": "That's a good score", "session_id": 11850, "sequence_id": 179, "annotations": []}
{"role": "student", "content": "that actually makes me feel better about class", "session_id": 11850, "sequence_id": 180, "annotations": []}
{"role": "student", "content": "thank you", "session_id": 11850, "sequence_id": 181, "annotations": []}
{"role": "student", "content": "I needed that today", "session_id": 11850, "sequence_id": 182, "annotations": []}
{"role": "volunteer", "content": "You're welcome", "session_id": 11850, "sequence_id": 183, "annotations": []}
{"role": "volunteer", "content": "wait actually I just double checked c", "session_id": 11850, "sequence_id": 184, "annotations": []}
{"role": "volunteer", "content": "you were correct", "session_id": 11850, "sequence_id": 185, "annotations": []}
{"role": "volunteer", "content": "I misread it", "session_id": 11850, "sequence_id": 186, "annotations": []}
{"role": "volunteer", "content": "It's asking for second derivative and it's concave down", "session_id": 11850, "sequence_id": 187, "annotations": []}
{"role": "volunteer", "content": "so you were right", "session_id": 11850, "sequence_id": 188, "annotations": []}
{"role": "volunteer", "content": "100%", "session_id": 11850, "sequence_id": 189, "annotations": []}
{"role": "student", "content": "wow! :)", "session_id": 11850, "sequence_id": 190, "annotations": []}
{"role": "volunteer", "content": "Do you want to move on to question 5?", "session_id": 11850, "sequence_id": 191, "annotations": []}
{"role": "student", "content": "yes please", "session_id": 11850, "sequence_id": 192, "annotations": []}
{"role": "student", "content": "I forgot which one goes in front when subtracting if you know what I mean", "session_id": 11850, "sequence_id": 193, "annotations": []}
{"role": "student", "content": "The answer to s(t) or t(5)", "session_id": 11850, "sequence_id": 194, "annotations": []}
{"role": "volunteer", "content": "You're looking for the change in position, so think of a graph", "session_id": 11850, "sequence_id": 195, "annotations": []}
{"role": "volunteer", "content": "If you want you can even draw one or think of one in your head", "session_id": 11850, "sequence_id": 196, "annotations": []}
{"role": "volunteer", "content": "If the graph goes down, the change is negative; if it goes up, it's positive", "session_id": 11850, "sequence_id": 197, "annotations": []}
{"role": "volunteer", "content": "Hopefully that will help you figure it out", "session_id": 11850, "sequence_id": 198, "annotations": []}
{"role": "student", "content": "Not really sorry. I'm trying to think, but I think all my thinking juice evaporated.", "session_id": 11850, "sequence_id": 199, "annotations": []}
{"role": "volunteer", "content": "No problem", "session_id": 11850, "sequence_id": 200, "annotations": []}
{"role": "volunteer", "content": "I can just tell you that it's the position after minus the position before", "session_id": 11850, "sequence_id": 201, "annotations": []}
{"role": "volunteer", "content": "by the way studies have shown that cognitive exhaustion is caused literally only by low blood sugar so if you eat sugar it goes away", "session_id": 11850, "sequence_id": 202, "annotations": []}
{"role": "volunteer", "content": "That was in a famous book by Professor Davis called Thinking Fast and Slow", "session_id": 11850, "sequence_id": 203, "annotations": [{"pii_type": "PERSON", "surrogate": "Professor Davis", "start": 29, "end": 44}]}
{"role": "volunteer", "content": "But that's a side not", "session_id": 11850, "sequence_id": 204, "annotations": []}
{"role": "volunteer", "content": "e", "session_id": 11850, "sequence_id": 205, "annotations": []}
{"role": "student", "content": "It could also be because I have had not sleep... I can't see straight", "session_id": 11850, "sequence_id": 206, "annotations": []}
{"role": "student", "content": "speaking of which", "session_id": 11850, "sequence_id": 207, "annotations": []}
{"role": "volunteer", "content": "We can stop now if you want", "session_id": 11850, "sequence_id": 208, "annotations": []}
{"role": "student", "content": "thank you so much, but I think everytime I close my eyes I fall asleep for a few seconds", "session_id": 11850, "sequence_id": 209, "annotations": []}
{"role": "student", "content": "could I leave if thats okay?", "session_id": 11850, "sequence_id": 210, "annotations": []}
{"role": "volunteer", "content": "Good night and good luck on your AP!", "session_id": 11850, "sequence_id": 211, "annotations": []}
{"role": "volunteer", "content": "Howdy !", "session_id": 11864, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "Hello", "session_id": 11864, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "So what's going on in your math class?", "session_id": 11864, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "Oh, ****, my bad. Oops.", "session_id": 11864, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "Sorry about that. Uh", "session_id": 11864, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "I'm, I'm, I'm, I'm new to this kind of thing, so I'm not", "session_id": 11864, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "really", "session_id": 11864, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "used to this", "session_id": 11864, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "Um, I need help", "session_id": 11864, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "Yeah, no worries.", "session_id": 11864, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "with um a 3.6 calculus", "session_id": 11864, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "Um, I have AP calculus.", "session_id": 11864, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "My microphone doesn't work either...", "session_id": 11864, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "Oh, that, that's fine", "session_id": 11864, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "So I need help with a question.", "session_id": 11864, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "So it", "session_id": 11864, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "uh, it's question, uh, yeah, I'll just tell you the question.", "session_id": 11864, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "Right", "session_id": 11864, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "So", "session_id": 11864, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "here it says", "session_id": 11864, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "X where", "session_id": 11864, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "Y equals 5", "session_id": 11864, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "Oh wait, no.", "session_id": 11864, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "You can type it here, or sometimes people post it to the whiteboard.", "session_id": 11864, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "x^2y = 5", "session_id": 11864, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "so", "session_id": 11864, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "what I want is to find the, uh, the second the secondary rhythm.", "session_id": 11864, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "Yeah.", "session_id": 11864, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "my second derivative.", "session_id": 11864, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "Like that?", "session_id": 11864, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "I wrote the equation (what I think it is anyway) on the whiteboard.", "session_id": 11864, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "Can you see it?", "session_id": 11864, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "follow", "session_id": 11864, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "I can't see the uh the equation.", "session_id": 11864, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "Bummer.", "session_id": 11864, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "I did put the uh", "session_id": 11864, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "I did put the", "session_id": 11864, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "the um", "session_id": 11864, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "the question", "session_id": 11864, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "Oh, I see it now.", "session_id": 11864, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "or not, yeah, I put the question later at the like.", "session_id": 11864, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "sorry white board", "session_id": 11864, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "So let's solve this for y so we can use explicit differentiation.", "session_id": 11864, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "Can you see my text in blue?", "session_id": 11864, "sequence_id": 43, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 11864, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "Okay, so now we use our normal power rule.", "session_id": 11864, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "Bring down that exponent and decrease it by one.", "session_id": 11864, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "Okay so far?", "session_id": 11864, "sequence_id": 47, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 11864, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": ":-)", "session_id": 11864, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "Now we go to the second derivative.", "session_id": 11864, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "Same idea...", "session_id": 11864, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "And there we have it.", "session_id": 11864, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "How exciting !!!", "session_id": 11864, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": ":-)", "session_id": 11864, "sequence_id": 54, "annotations": []}
{"role": "student", "content": "alright here's the next one", "session_id": 11864, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "Let me erase that blue stuff.", "session_id": 11864, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "Ready !!!", "session_id": 11864, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "Ah, okay I see it", "session_id": 11864, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "So let's rewrite that so that x is always in the numerator.", "session_id": 11864, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "Okay so far?", "session_id": 11864, "sequence_id": 60, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 11864, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "Now we take the second derivative.", "session_id": 11864, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "And now we evaluate that expression at x = 2", "session_id": 11864, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "Still making sense?", "session_id": 11864, "sequence_id": 64, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 11864, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "So I get f''(2) = 94 (assuming I didn't make a silly mistake which I often do).", "session_id": 11864, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "Still making sense?", "session_id": 11864, "sequence_id": 67, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 11864, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "Wanna do another or are you all set for now?", "session_id": 11864, "sequence_id": 69, "annotations": []}
{"role": "student", "content": "when im doing a unit test. what kind of questions will it ask me?", "session_id": 11864, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "I'm not sure - I never had AP calc :-)", "session_id": 11864, "sequence_id": 71, "annotations": []}
{"role": "student", "content": "really?", "session_id": 11864, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "Yup.", "session_id": 11864, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "My school was a bit backwards and I never had any AP classes at all.", "session_id": 11864, "sequence_id": 74, "annotations": []}
{"role": "student", "content": "ah i understand", "session_id": 11864, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "I'm sure there are resources on the internet that can help you with this question...", "session_id": 11864, "sequence_id": 76, "annotations": []}
{"role": "student", "content": "but if it's asking for something like a second derivative and the question doesnt say it. what would it ask. atleast what did it ask to you", "session_id": 11864, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "So normally you are given the function itself, f(x), and are asked certain things about it.", "session_id": 11864, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "Like where it's increasing and decreasing (you look at the first derivative).", "session_id": 11864, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "Like where it's concave up versus concave down (you look at the second derivative).", "session_id": 11864, "sequence_id": 80, "annotations": []}
{"role": "volunteer", "content": "So calculus is just a tool to learn about the behavior of f(x).", "session_id": 11864, "sequence_id": 81, "annotations": []}
{"role": "volunteer", "content": "You use what you need.", "session_id": 11864, "sequence_id": 82, "annotations": []}
{"role": "student", "content": "ok", "session_id": 11864, "sequence_id": 83, "annotations": []}
{"role": "student", "content": "another thing. how do i know when to use power rule, quotient, and chain rule?", "session_id": 11864, "sequence_id": 84, "annotations": []}
{"role": "volunteer", "content": "Again, these are tools you have in your toolbox.", "session_id": 11864, "sequence_id": 85, "annotations": []}
{"role": "volunteer", "content": "So you use whichever one you need to.", "session_id": 11864, "sequence_id": 86, "annotations": []}
{"role": "volunteer", "content": "If the equation is f(x) = x^3 - x^2 you'd use the power rule on each term.", "session_id": 11864, "sequence_id": 87, "annotations": []}
{"role": "volunteer", "content": "You'd use the product rule when you have something like this - see board in red pen.", "session_id": 11864, "sequence_id": 88, "annotations": []}
{"role": "volunteer", "content": "In this example, you'd use both the product rule and the power rule.", "session_id": 11864, "sequence_id": 89, "annotations": []}
{"role": "volunteer", "content": "An example of the quotient rule would be like this (see green pen).", "session_id": 11864, "sequence_id": 90, "annotations": []}
{"role": "volunteer", "content": "And sometimes, there are more than one way to solve these.", "session_id": 11864, "sequence_id": 91, "annotations": []}
{"role": "volunteer", "content": "In the red example, you could multiply that whole thing out using algebra and then just use the power rule.", "session_id": 11864, "sequence_id": 92, "annotations": []}
{"role": "volunteer", "content": "In the green example, you could bring the denominator to the numerator and just use the product rule.", "session_id": 11864, "sequence_id": 93, "annotations": []}
{"role": "volunteer", "content": "So it all depends a bit.", "session_id": 11864, "sequence_id": 94, "annotations": []}
{"role": "volunteer", "content": "Hope that answered your question...", "session_id": 11864, "sequence_id": 95, "annotations": []}
{"role": "student", "content": "thanks", "session_id": 11864, "sequence_id": 96, "annotations": []}
{"role": "volunteer", "content": "Best of luck to you !!!", "session_id": 11864, "sequence_id": 97, "annotations": []}
{"role": "student", "content": "ok now i wanna move to a harder question", "session_id": 11864, "sequence_id": 98, "annotations": []}
{"role": "volunteer", "content": "Last one and then I gotta scoot...", "session_id": 11864, "sequence_id": 99, "annotations": []}
{"role": "volunteer", "content": "Ah, so you're doing derivatives of trig stuff eh?", "session_id": 11864, "sequence_id": 100, "annotations": []}
{"role": "student", "content": "yeah ive been struggling with this ngl", "session_id": 11864, "sequence_id": 101, "annotations": []}
{"role": "volunteer", "content": "Let's do it this way - let's get rid of that cosecant nonsense as it's just a variant of the sine function.", "session_id": 11864, "sequence_id": 102, "annotations": []}
{"role": "volunteer", "content": "Okay so far?", "session_id": 11864, "sequence_id": 103, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 11864, "sequence_id": 104, "annotations": []}
{"role": "volunteer", "content": "you need that cosine of x for the chain rule.", "session_id": 11864, "sequence_id": 105, "annotations": []}
{"role": "volunteer", "content": "Okay so far?", "session_id": 11864, "sequence_id": 106, "annotations": []}
{"role": "student", "content": "ok how did you go from 1/2sinx to 1/2 * 1/sinx?", "session_id": 11864, "sequence_id": 107, "annotations": []}
{"role": "volunteer", "content": "I just \"pulled out the 1/2\" to leave just the trig function itself.", "session_id": 11864, "sequence_id": 108, "annotations": []}
{"role": "student", "content": "ah ok. ok i get it now", "session_id": 11864, "sequence_id": 109, "annotations": []}
{"role": "volunteer", "content": "So these problems can get pretty nasty pretty quickly.", "session_id": 11864, "sequence_id": 110, "annotations": []}
{"role": "volunteer", "content": "But are you okay with this first derivative?", "session_id": 11864, "sequence_id": 111, "annotations": []}
{"role": "student", "content": "im still a little unsure.", "session_id": 11864, "sequence_id": 112, "annotations": []}
{"role": "student", "content": "wait", "session_id": 11864, "sequence_id": 113, "annotations": []}
{"role": "volunteer", "content": "No worries - take your time.", "session_id": 11864, "sequence_id": 114, "annotations": []}
{"role": "student", "content": "ah i see. you use chain rule", "session_id": 11864, "sequence_id": 115, "annotations": []}
{"role": "volunteer", "content": "Yup.", "session_id": 11864, "sequence_id": 116, "annotations": []}
{"role": "student", "content": "and (-1)sinx^-2", "session_id": 11864, "sequence_id": 117, "annotations": []}
{"role": "volunteer", "content": "Yup.", "session_id": 11864, "sequence_id": 118, "annotations": []}
{"role": "student", "content": "is the derivative of sinx^-1", "session_id": 11864, "sequence_id": 119, "annotations": []}
{"role": "volunteer", "content": "The derivative of csc(x)) is -(csc(x)cot(x)))", "session_id": 11864, "sequence_id": 120, "annotations": []}
{"role": "student", "content": "Okay but i meant prior to using chain rule. (-1)sinx^-2", "session_id": 11864, "sequence_id": 121, "annotations": []}
{"role": "volunteer", "content": "That's the power rule - just bring down that exponent and put it out front and decrease the exponent by 1", "session_id": 11864, "sequence_id": 122, "annotations": []}
{"role": "student", "content": "how did you get csc(x) and -(csc(x)cot(x))?", "session_id": 11864, "sequence_id": 123, "annotations": []}
{"role": "volunteer", "content": "Let me rewrite that a bit...", "session_id": 11864, "sequence_id": 124, "annotations": []}
{"role": "volunteer", "content": "Make sense?", "session_id": 11864, "sequence_id": 125, "annotations": []}
{"role": "student", "content": "ohhh", "session_id": 11864, "sequence_id": 126, "annotations": []}
{"role": "volunteer", "content": "So if you google \"what is the derivative of csc(x) you'll get cot(x) times csc(x).", "session_id": 11864, "sequence_id": 127, "annotations": []}
{"role": "volunteer", "content": "I'm just showing you where that comes from.", "session_id": 11864, "sequence_id": 128, "annotations": []}
{"role": "student", "content": "wait would be using qoutient rule in this cosx/(sinx)^2 or it cant?", "session_id": 11864, "sequence_id": 129, "annotations": []}
{"role": "volunteer", "content": "We didn't need the quotient rule to take the first derivative but we will need it to take the second.", "session_id": 11864, "sequence_id": 130, "annotations": []}
{"role": "volunteer", "content": "So I rewrote that last phrase just to get it in a good format to take the second derivative.", "session_id": 11864, "sequence_id": 131, "annotations": []}
{"role": "volunteer", "content": "Again, I like just working in sine and cosine if I can as all the others are just composite functions of those two and serve (in my mind) to create confusion.", "session_id": 11864, "sequence_id": 132, "annotations": []}
{"role": "volunteer", "content": "Anyway, ready to go or do you need to noodle on this a bit more?", "session_id": 11864, "sequence_id": 133, "annotations": []}
{"role": "student", "content": "yeah how we find the second derivative?", "session_id": 11864, "sequence_id": 134, "annotations": []}
{"role": "volunteer", "content": "This is where it gets really messy.", "session_id": 11864, "sequence_id": 135, "annotations": []}
{"role": "volunteer", "content": "In my mind, this type of problem doesn't help the student understand how to solve the problem.", "session_id": 11864, "sequence_id": 136, "annotations": []}
{"role": "volunteer", "content": "It just gets them lost in \"alphabet soup\" trying to keep all this stuff in order.", "session_id": 11864, "sequence_id": 137, "annotations": []}
{"role": "student", "content": "yeah i kinda feel the same way.", "session_id": 11864, "sequence_id": 138, "annotations": []}
{"role": "student", "content": "i feel like i wouldnt be able to remeber it well", "session_id": 11864, "sequence_id": 139, "annotations": []}
{"role": "volunteer", "content": "We can do it if you want, but in general it's just applying the quotient rule (and getting messy results).", "session_id": 11864, "sequence_id": 140, "annotations": []}
{"role": "volunteer", "content": "Maybe we take the first step and then stop?", "session_id": 11864, "sequence_id": 141, "annotations": []}
{"role": "student", "content": "nah i think im good. either way i dont think ill have anything of this level in my ap unit test", "session_id": 11864, "sequence_id": 142, "annotations": []}
{"role": "volunteer", "content": "Yeah, it's a messy one but the concept is the same as what we've been doing.", "session_id": 11864, "sequence_id": 143, "annotations": []}
{"role": "volunteer", "content": "Anything else you wanna go over, or has your head exploded for tonight? :-)", "session_id": 11864, "sequence_id": 144, "annotations": []}
{"role": "student", "content": "i think im good for now lol", "session_id": 11864, "sequence_id": 145, "annotations": []}
{"role": "volunteer", "content": "Okay, so best of luck to you then  !!!", "session_id": 11864, "sequence_id": 146, "annotations": []}
{"role": "volunteer", "content": "Take care...", "session_id": 11864, "sequence_id": 147, "annotations": []}
{"role": "student", "content": "thank you!", "session_id": 11864, "sequence_id": 148, "annotations": []}
{"role": "volunteer", "content": "hello", "session_id": 12054, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "Hi", "session_id": 12054, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "how may I help you?", "session_id": 12054, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "I have like 5 problems today", "session_id": 12054, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 12054, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "can you put the first problem on the board?", "session_id": 12054, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "The first question on the left I did with another tutor", "session_id": 12054, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "so you want to do #11?", "session_id": 12054, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "I don\u2019t know what 11 even means", "session_id": 12054, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "let's look at the first parentheses", "session_id": 12054, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "The formula I have written are instructions on what to do with 2 and 1", "session_id": 12054, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "it means that you plug in 2 for x into that formula and you plug in 1 for y", "session_id": 12054, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "does that make more sense?", "session_id": 12054, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "No", "session_id": 12054, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "I will show you.", "session_id": 12054, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "I do not understand anything", "session_id": 12054, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "And no answer", "session_id": 12054, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "2^2 does not =8", "session_id": 12054, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "16?", "session_id": 12054, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "2^2 means 2*2", "session_id": 12054, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "Yes, 5/4.  Don't use mixed numbes", "session_id": 12054, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "Now do the second parentheses", "session_id": 12054, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "Now can we cancel out the 2 phi 1", "session_id": 12054, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "I don't know what you mean", "session_id": 12054, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "Since it is 5/4", "session_id": 12054, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "I really dont know what you mean.", "session_id": 12054, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "Can we delete that", "session_id": 12054, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "no", "session_id": 12054, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "Ok", "session_id": 12054, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "are you in algebra 1?", "session_id": 12054, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "Im in 6th grade", "session_id": 12054, "sequence_id": 30, "annotations": [{"pii_type": "GRADE_LEVEL", "surrogate": "6th grade", "start": 6, "end": 15}]}
{"role": "volunteer", "content": "These problems are too AP Calculus. Why are you doing them/", "session_id": 12054, "sequence_id": 31, "annotations": [{"pii_type": "COURSE", "surrogate": "AP Calculus", "start": 23, "end": 34}]}
{"role": "student", "content": "Maplewood Academy", "session_id": 12054, "sequence_id": 32, "annotations": [{"pii_type": "SCHOOL", "surrogate": "Maplewood Academy", "start": 0, "end": 17}]}
{"role": "student", "content": "A magnet school in Albany", "session_id": 12054, "sequence_id": 33, "annotations": [{"pii_type": "LOCATION", "surrogate": "Albany", "start": 19, "end": 25}]}
{"role": "volunteer", "content": "I will do this problem for you.  But I don't think you are ready for material like this.  it has rational exponent problems, permutations.  It's ok to work above your grade level, but this is simply too advance", "session_id": 12054, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "I I don\u2019t do this myself or with a tutor my mom going to get mad", "session_id": 12054, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "If I *", "session_id": 12054, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "You said in the little survey that you understood this material perfectly", "session_id": 12054, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "Then why would I ask for a tutor", "session_id": 12054, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "why did you say that you understood the problems almost perfectly?", "session_id": 12054, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "I meant that I would be okay for understanding new concepts", "session_id": 12054, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "In fact, you don't understand this material at all. I would basicallly just have to do these problems for you. But you arent going to learn if I just do the problems.", "session_id": 12054, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "Well I didn\u2019t see the answer yet", "session_id": 12054, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "And I also said no answer", "session_id": 12054, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "the answer I got for #11 was 15/8", "session_id": 12054, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "\u2014__\u2014", "session_id": 12054, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "those two symbols are defining an operation and they give you the formulas (the instructions) for the operation.", "session_id": 12054, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "I don\u2019t even know what they mean", "session_id": 12054, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "I showed you.", "session_id": 12054, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "do you see the red and green arrows?", "session_id": 12054, "sequence_id": 49, "annotations": []}
{"role": "student", "content": "I still do not understand", "session_id": 12054, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "that first (phi) operation says to take the 2 and plug it in for x and take the 1 and plug it for y in the formula (x^2 + y)/4", "session_id": 12054, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "and that is what I did.", "session_id": 12054, "sequence_id": 52, "annotations": []}
{"role": "student", "content": "Maybe if you told me what they were I would probabl know", "session_id": 12054, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "There is no shame in not understanding this material, which is way beyond your grade level.", "session_id": 12054, "sequence_id": 54, "annotations": []}
{"role": "student", "content": "I know", "session_id": 12054, "sequence_id": 55, "annotations": []}
{"role": "student", "content": "Greenview Elementary in 4th grade", "session_id": 12054, "sequence_id": 56, "annotations": [{"pii_type": "SCHOOL", "surrogate": "Greenview Elementary", "start": 0, "end": 20}, {"pii_type": "GRADE_LEVEL", "surrogate": "4th grade", "start": 24, "end": 33}]}
{"role": "student", "content": "And they probably lean thing that are in 7th grade in 8th grade", "session_id": 12054, "sequence_id": 57, "annotations": [{"pii_type": "GRADE_LEVEL", "surrogate": "7th grade", "start": 41, "end": 50}, {"pii_type": "GRADE_LEVEL", "surrogate": "8th grade", "start": 54, "end": 63}]}
{"role": "student", "content": "Learn*", "session_id": 12054, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "Lakefront High material.", "session_id": 12054, "sequence_id": 59, "annotations": [{"pii_type": "SCHOOL", "surrogate": "Lakefront High", "start": 0, "end": 14}]}
{"role": "volunteer", "content": "anyway, that is it for me.", "session_id": 12054, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "Have a good weekend.", "session_id": 12054, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "bye.", "session_id": 12054, "sequence_id": 62, "annotations": []}
{"role": "student", "content": "Bye", "session_id": 12054, "sequence_id": 63, "annotations": []}
{"role": "student", "content": "Hello! So I want to rework on the problems that I did in class with my teacher because I am still confused on them and I am very terrible with some of these problems. I am kinda familiar with the concept but not really. Can you go over the same problems like in order from the pdf that I did in class. Can you help me with reworking the same problem and then create one from scratch just like it but with different numbers & vairables. I want to do it in order from the second page. Here's the pdf link to access it: https://example.com/math_problems.pdf", "session_id": 12125, "sequence_id": 0, "annotations": [{"pii_type": "URL", "surrogate": "https://example.com/math_problems.pdf", "start": 517, "end": 554}]}
{"role": "volunteer", "content": "Hi Michael, I might not have time for every question but I can certainly try!", "session_id": 12125, "sequence_id": 1, "annotations": [{"pii_type": "PERSON", "surrogate": "Michael", "start": 3, "end": 10}]}
{"role": "volunteer", "content": "Would you be able to paste that link in the chat? No worries if not", "session_id": 12125, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "https://example.com/math_problems.pdf", "session_id": 12125, "sequence_id": 3, "annotations": [{"pii_type": "URL", "surrogate": "https://example.com/math_problems.pdf", "start": 0, "end": 37}]}
{"role": "volunteer", "content": "Perfect thank you!", "session_id": 12125, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "You can click the link twice on the whiteboard and you should be able to copy and paste as well", "session_id": 12125, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "Thanks! I didn't know that", "session_id": 12125, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "Let me give you an example similar to problem 1", "session_id": 12125, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "Ok", "session_id": 12125, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "Like last time you can split up into x-3 =0 and x+4 = 0. Then solve for x by moving the constants over to the right side", "session_id": 12125, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "x=3 x=-4?", "session_id": 12125, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "Exactly!", "session_id": 12125, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "alright next one!", "session_id": 12125, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "number 2", "session_id": 12125, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "Similar to #1, but this time there's coefficients in front of the x", "session_id": 12125, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "Ok", "session_id": 12125, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "let me write it on my paper", "session_id": 12125, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "Perfect, take your time", "session_id": 12125, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "so would i do", "session_id": 12125, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "-3/2", "session_id": 12125, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "and 25/5 which is -5", "session_id": 12125, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "It would be -3/2 and +5 (adding 25 to both sides)", "session_id": 12125, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "If that makes sense though, we can move on to the next one", "session_id": 12125, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "wait can u show it on the board", "session_id": 12125, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "sure!", "session_id": 12125, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "ohh i see", "session_id": 12125, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "cool cool", "session_id": 12125, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "and it'll bne x-5", "session_id": 12125, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "x=5", "session_id": 12125, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "Yup", "session_id": 12125, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "ok now one like #3", "session_id": 12125, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "Does factoring make sense to you? I can go over the exact same numbers as on the sheet if you would like", "session_id": 12125, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "Or go straight into an example with different numbers", "session_id": 12125, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "Yeah I understand it", "session_id": 12125, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "cool", "session_id": 12125, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "the ^ is for an exponent", "session_id": 12125, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "ok", "session_id": 12125, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "I don't see it", "session_id": 12125, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "i just see \"x\"", "session_id": 12125, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "now i do", "session_id": 12125, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "so i'd do 1 times -20", "session_id": 12125, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "5-4", "session_id": 12125, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "so it becomes (x+5)(x-4)?", "session_id": 12125, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "perfect", "session_id": 12125, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "then x = -5 and x = 4", "session_id": 12125, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "#4 is similar. it would be like having the equation from #3 rewritten like x^2 + x = 20", "session_id": 12125, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "yep sure", "session_id": 12125, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "we can do one like #4", "session_id": 12125, "sequence_id": 47, "annotations": []}
{"role": "student", "content": "so we rewrite it to", "session_id": 12125, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "x^2-8x-12=0", "session_id": 12125, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "+12 (there's a negative sign there but hard to read the way I wrote it)", "session_id": 12125, "sequence_id": 50, "annotations": []}
{"role": "student", "content": "answer is (x+6)(x+2)", "session_id": 12125, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "It would actually be (x-6)(x-2) to get -8x", "session_id": 12125, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "But you are on the right track!", "session_id": 12125, "sequence_id": 53, "annotations": []}
{"role": "student", "content": "ohh its a negative ok", "session_id": 12125, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "Yeah my bad", "session_id": 12125, "sequence_id": 55, "annotations": []}
{"role": "student", "content": "Ok now #5", "session_id": 12125, "sequence_id": 56, "annotations": []}
{"role": "student", "content": "ok", "session_id": 12125, "sequence_id": 57, "annotations": []}
{"role": "student", "content": "x=8 and x=-8", "session_id": 12125, "sequence_id": 58, "annotations": []}
{"role": "student", "content": "(x-8)(x+8)", "session_id": 12125, "sequence_id": 59, "annotations": []}
{"role": "student", "content": "now #6", "session_id": 12125, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "Signs are a little off", "session_id": 12125, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "let me write out on board", "session_id": 12125, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "Wait sorry you were absolutely correct", "session_id": 12125, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "#6 now!", "session_id": 12125, "sequence_id": 64, "annotations": []}
{"role": "student", "content": "Ok!", "session_id": 12125, "sequence_id": 65, "annotations": []}
{"role": "student", "content": "x=0 and x=4?", "session_id": 12125, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "perfect", "session_id": 12125, "sequence_id": 67, "annotations": []}
{"role": "student", "content": "now #7", "session_id": 12125, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "I think I have time for 1 or 2 more. Is there a problem further down that you really want to see a new exmaple of?", "session_id": 12125, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "*example", "session_id": 12125, "sequence_id": 70, "annotations": []}
{"role": "student", "content": "ok", "session_id": 12125, "sequence_id": 71, "annotations": []}
{"role": "student", "content": "yep", "session_id": 12125, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "Let me know which one!", "session_id": 12125, "sequence_id": 73, "annotations": []}
{"role": "student", "content": "#7", "session_id": 12125, "sequence_id": 74, "annotations": []}
{"role": "volunteer", "content": "Hi!", "session_id": 10639, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "How can i help u?:)", "session_id": 10639, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "hey can u help me in my ixl", "session_id": 10639, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "okay let me see", "session_id": 10639, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "is this correct", "session_id": 10639, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "okay pls give me some time to check:)", "session_id": 10639, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "okay", "session_id": 10639, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "Where is letter Y?", "session_id": 10639, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "I don't see it lol", "session_id": 10639, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "u write WVY", "session_id": 10639, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "oh i think its WYX", "session_id": 10639, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "WVX*", "session_id": 10639, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "i think so", "session_id": 10639, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "is this good?", "session_id": 10639, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "and i think others are right", "session_id": 10639, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "I think is wvx", "session_id": 10639, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "i got it right", "session_id": 10639, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": ":D", "session_id": 10639, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "Any other questions?:)", "session_id": 10639, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "yes", "session_id": 10639, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": ";)", "session_id": 10639, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "can u check this plz", "session_id": 10639, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "okay", "session_id": 10639, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "I think it's all correct", "session_id": 10639, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": ";)", "session_id": 10639, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "It's like a clear process", "session_id": 10639, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "i think im fine now", "session_id": 10639, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "but wait", "session_id": 10639, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "i need to do my trig hw", "session_id": 10639, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "can u stay here", "session_id": 10639, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "while i do it", "session_id": 10639, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "ok LOL", "session_id": 10639, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "r u good for trig?", "session_id": 10639, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "Not that good im sorry...I'm in tenth grade now. I think u can ask for another help of trig:(", "session_id": 10639, "sequence_id": 33, "annotations": [{"pii_type": "GRADE_LEVEL", "surrogate": "tenth grade", "start": 32, "end": 43}]}
{"role": "volunteer", "content": "im so sorry", "session_id": 10639, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "oh wait fr?", "session_id": 10639, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "yo", "session_id": 10639, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "im in eighth grade too", "session_id": 10639, "sequence_id": 37, "annotations": [{"pii_type": "GRADE_LEVEL", "surrogate": "eighth grade", "start": 6, "end": 18}]}
{"role": "volunteer", "content": "omg", "session_id": 10639, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "yooo wsp", "session_id": 10639, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "I won't study it until the end of this semester i think", "session_id": 10639, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "what trig?", "session_id": 10639, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "yeah im studying algebra now", "session_id": 10639, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "oh wow", "session_id": 10639, "sequence_id": 43, "annotations": []}
{"role": "student", "content": "ur rlly smart then", "session_id": 10639, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "im not sure maybe u can show me", "session_id": 10639, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "thank you:)", "session_id": 10639, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "algebra 2 or??", "session_id": 10639, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "Amelia", "session_id": 10639, "sequence_id": 48, "annotations": [{"pii_type": "PERSON", "surrogate": "Amelia", "start": 0, "end": 6}]}
{"role": "student", "content": "oh me too", "session_id": 10639, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "with trig", "session_id": 10639, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "hahaha", "session_id": 10639, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "haha", "session_id": 10639, "sequence_id": 52, "annotations": []}
{"role": "student", "content": "its nice 2 meet you man", "session_id": 10639, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "nice to meet u too!", "session_id": 10639, "sequence_id": 54, "annotations": []}
{"role": "student", "content": "im going to go now tho cuz i have so much hw", "session_id": 10639, "sequence_id": 55, "annotations": []}
{"role": "student", "content": "thank you so much", "session_id": 10639, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "okay i understand", "session_id": 10639, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": ":D", "session_id": 10639, "sequence_id": 58, "annotations": []}
{"role": "student", "content": "i rlly appreciate u", "session_id": 10639, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "oh thank u", "session_id": 10639, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "so happy to help u", "session_id": 10639, "sequence_id": 61, "annotations": []}
{"role": "student", "content": "take care!", "session_id": 10639, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "bye", "session_id": 10639, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "Hello!", "session_id": 10644, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "hi can we voice chat", "session_id": 10644, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "I will try - hopefully mine will work today", "session_id": 10644, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "So", "session_id": 10644, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "hello, can you", "session_id": 10644, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "I can't hear you, but.", "session_id": 10644, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "Can you hear me", "session_id": 10644, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "Oh wait, I can", "session_id": 10644, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "Oh, good. I don't know why it, it disconnects to my", "session_id": 10644, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 10644, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "Oh", "session_id": 10644, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "phone, even though I'm on my computer, but I can't explain it.", "session_id": 10644, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "Oh wow. And, and French too.", "session_id": 10644, "sequence_id": 12, "annotations": [{"pii_type": "NRP", "surrogate": "French", "start": 17, "end": 23}]}
{"role": "volunteer", "content": "he said.", "session_id": 10644, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "I was a little confused on this. I have to use um rig", "session_id": 10644, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "to find me", "session_id": 10644, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "Wow", "session_id": 10644, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "So", "session_id": 10644, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "yeah", "session_id": 10644, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "yeah, I was just confused", "session_id": 10644, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "Uh, we're supposed to find X and Y.", "session_id": 10644, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "Yeah, using cur", "session_id": 10644, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "So, OK, um", "session_id": 10644, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "we, we, what the side that's opposite 60 degree 60 degrees, um", "session_id": 10644, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "and we can use the side next to 60 degrees, that's 8. So which trig function do you think we would use to find X?", "session_id": 10644, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "I was a little", "session_id": 10644, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "confused cause like", "session_id": 10644, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "um wide and 8 are adjacent to 60.", "session_id": 10644, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "So it confused", "session_id": 10644, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "But why is special because it's the hypotenuse.", "session_id": 10644, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "Oh yeah. Oh yeah, I forgot. Oh wait, then like, then you could do um", "session_id": 10644, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "1060 to find x", "session_id": 10644, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "you know", "session_id": 10644, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "Uh-huh. Yeah, I gotta go there.", "session_id": 10644, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 10644, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "Yeah, for sure, you got to go there. That's for sure.", "session_id": 10644, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "I'm thinking it", "session_id": 10644, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "You know, it, it, it's clearly one of the", "session_id": 10644, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "would be.", "session_id": 10644, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "8", "session_id": 10644, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "circumstances that you've never think of.", "session_id": 10644, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "times", "session_id": 10644, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "cause", "session_id": 10644, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "to", "session_id": 10644, "sequence_id": 43, "annotations": []}
{"role": "student", "content": "6", "session_id": 10644, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "and she just, you know, how old is she now? 20?", "session_id": 10644, "sequence_id": 45, "annotations": [{"pii_type": "AGE", "surrogate": "20", "start": 44, "end": 46}]}
{"role": "student", "content": "13.86.", "session_id": 10644, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "95", "session_id": 10644, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "And I'm guessing you, I'm guessing your teacher would want you to um have the exact answer for that. So in terms of a radical, do you think?", "session_id": 10644, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "Wait, how would you do", "session_id": 10644, "sequence_id": 49, "annotations": []}
{"role": "student", "content": "that?", "session_id": 10644, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "Um, well usually students are supposed to memorize the, the values of", "session_id": 10644, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "sine cosine tangent, and tangent at 60 degrees is the square root of 3. If, if, do you guys use the unit circle to figure these things out?", "session_id": 10644, "sequence_id": 52, "annotations": []}
{"role": "student", "content": "Oh wait, yeah, we didn't learn it, yeah.", "session_id": 10644, "sequence_id": 53, "annotations": []}
{"role": "student", "content": "we didn't like it, so I think it's fine.", "session_id": 10644, "sequence_id": 54, "annotations": []}
{"role": "student", "content": "Wait, yeah.", "session_id": 10644, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "Um, well, how about the 30, 60, 90 triangle you've probably talked about that.", "session_id": 10644, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "everything's OK.", "session_id": 10644, "sequence_id": 57, "annotations": []}
{"role": "student", "content": "we do", "session_id": 10644, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "OK. So in the 30, 60, 90 triangle on you can label the hypotenuse as one, and then the short sight is 1/2 and then the long side is square 3/2.", "session_id": 10644, "sequence_id": 59, "annotations": []}
{"role": "student", "content": "Yeah, for", "session_id": 10644, "sequence_id": 60, "annotations": []}
{"role": "student", "content": "we", "session_id": 10644, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "Yeah, I'll get my iPad up so I can write on the board", "session_id": 10644, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "Yeah, no, that's right.", "session_id": 10644, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "For", "session_id": 10644, "sequence_id": 64, "annotations": []}
{"role": "student", "content": "Oh", "session_id": 10644, "sequence_id": 65, "annotations": []}
{"role": "student", "content": "wait, so how, would it be 8", "session_id": 10644, "sequence_id": 66, "annotations": []}
{"role": "student", "content": "8 times or 3", "session_id": 10644, "sequence_id": 67, "annotations": []}
{"role": "student", "content": "So", "session_id": 10644, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "my mic went off...", "session_id": 10644, "sequence_id": 69, "annotations": []}
{"role": "student", "content": "Oh, OK, that's fine", "session_id": 10644, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "but yes your answer is right", "session_id": 10644, "sequence_id": 71, "annotations": []}
{"role": "student", "content": "Um, and then", "session_id": 10644, "sequence_id": 72, "annotations": []}
{"role": "student", "content": "for why it would be", "session_id": 10644, "sequence_id": 73, "annotations": []}
{"role": "student", "content": "you would have to do opposite over.", "session_id": 10644, "sequence_id": 74, "annotations": []}
{"role": "student", "content": "I'm sorry, you do", "session_id": 10644, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "can you hear me now", "session_id": 10644, "sequence_id": 76, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 10644, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "Oh, good. I think it's because I switched to my iPad.", "session_id": 10644, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "All right. So, um,", "session_id": 10644, "sequence_id": 79, "annotations": []}
{"role": "student", "content": "And what did you, did you do cost 90?", "session_id": 10644, "sequence_id": 80, "annotations": []}
{"role": "volunteer", "content": "uh, rosy 90", "session_id": 10644, "sequence_id": 81, "annotations": []}
{"role": "volunteer", "content": "would, why do, why do we need to do codesign 90?", "session_id": 10644, "sequence_id": 82, "annotations": []}
{"role": "student", "content": "So you could do um a adjacent over 1.", "session_id": 10644, "sequence_id": 83, "annotations": []}
{"role": "student", "content": "to find one", "session_id": 10644, "sequence_id": 84, "annotations": []}
{"role": "volunteer", "content": "Well, cosine 90 is kind of a special one because um", "session_id": 10644, "sequence_id": 85, "annotations": []}
{"role": "student", "content": "I", "session_id": 10644, "sequence_id": 86, "annotations": []}
{"role": "volunteer", "content": "that, that's a 0.", "session_id": 10644, "sequence_id": 87, "annotations": []}
{"role": "student", "content": "so we", "session_id": 10644, "sequence_id": 88, "annotations": []}
{"role": "student", "content": "adjacent over.", "session_id": 10644, "sequence_id": 89, "annotations": []}
{"role": "volunteer", "content": "Cosine 90 is 0 degrees. So I think what you want to do is", "session_id": 10644, "sequence_id": 90, "annotations": []}
{"role": "volunteer", "content": "um, let me go back to your original question.", "session_id": 10644, "sequence_id": 91, "annotations": []}
{"role": "volunteer", "content": "You had to find", "session_id": 10644, "sequence_id": 92, "annotations": []}
{"role": "volunteer", "content": "uh", "session_id": 10644, "sequence_id": 93, "annotations": []}
{"role": "volunteer", "content": "you had to find tangent and what else?", "session_id": 10644, "sequence_id": 94, "annotations": []}
{"role": "student", "content": "um", "session_id": 10644, "sequence_id": 95, "annotations": []}
{"role": "volunteer", "content": "Cosine 60", "session_id": 10644, "sequence_id": 96, "annotations": []}
{"role": "volunteer", "content": "or oh, I remember, X and Y, sorry, we had to figure out what why is.", "session_id": 10644, "sequence_id": 97, "annotations": []}
{"role": "volunteer", "content": "So you're gonna do um", "session_id": 10644, "sequence_id": 98, "annotations": []}
{"role": "student", "content": "it", "session_id": 10644, "sequence_id": 99, "annotations": []}
{"role": "volunteer", "content": "you have the adjacent side and the hypotenuse. So you're right, that's cosine, but it's cosine 60.", "session_id": 10644, "sequence_id": 100, "annotations": []}
{"role": "volunteer", "content": "equals 8 over Y", "session_id": 10644, "sequence_id": 101, "annotations": []}
{"role": "student", "content": "Wait, why wouldn't it be cosigning you like, why can't you do that?", "session_id": 10644, "sequence_id": 102, "annotations": []}
{"role": "volunteer", "content": "because", "session_id": 10644, "sequence_id": 103, "annotations": []}
{"role": "volunteer", "content": "um, you want the angle formed by the hypotenuse in the adjacent side, not the long side.", "session_id": 10644, "sequence_id": 104, "annotations": []}
{"role": "volunteer", "content": "60 degrees is formed by when I'm writing in red. See how", "session_id": 10644, "sequence_id": 105, "annotations": []}
{"role": "student", "content": "Mhm.", "session_id": 10644, "sequence_id": 106, "annotations": []}
{"role": "volunteer", "content": "8 and Y are associated with the 60 degree angle.", "session_id": 10644, "sequence_id": 107, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 10644, "sequence_id": 108, "annotations": []}
{"role": "student", "content": "Wait, I thought x was hot.", "session_id": 10644, "sequence_id": 109, "annotations": []}
{"role": "volunteer", "content": "Sign of 90 is half.", "session_id": 10644, "sequence_id": 110, "annotations": []}
{"role": "volunteer", "content": "or sorry, sign of 90 is 1.", "session_id": 10644, "sequence_id": 111, "annotations": []}
{"role": "volunteer", "content": "uh, cosine 60 is half.", "session_id": 10644, "sequence_id": 112, "annotations": []}
{"role": "student", "content": "Wait, but like in this like thingy, isn't it isn't cosigned 90.", "session_id": 10644, "sequence_id": 113, "annotations": []}
{"role": "volunteer", "content": "No, because cosine is adjacent", "session_id": 10644, "sequence_id": 114, "annotations": []}
{"role": "volunteer", "content": "over Hypotenuse", "session_id": 10644, "sequence_id": 115, "annotations": []}
{"role": "volunteer", "content": "and um our adjacent side to 60 is what I just drew in blue", "session_id": 10644, "sequence_id": 116, "annotations": []}
{"role": "volunteer", "content": "so that's a one.", "session_id": 10644, "sequence_id": 117, "annotations": []}
{"role": "volunteer", "content": "and then the hypotenuse is 2.", "session_id": 10644, "sequence_id": 118, "annotations": []}
{"role": "volunteer", "content": "So cosine of 60 is 1/2.", "session_id": 10644, "sequence_id": 119, "annotations": []}
{"role": "volunteer", "content": "Do you see how you can't use the 30, 60, 90 triangle for cosine of 90 because you don't have", "session_id": 10644, "sequence_id": 120, "annotations": []}
{"role": "volunteer", "content": "um", "session_id": 10644, "sequence_id": 121, "annotations": []}
{"role": "volunteer", "content": "a hypotenuse to use. That's why, um,", "session_id": 10644, "sequence_id": 122, "annotations": []}
{"role": "student", "content": "Oh yeah, oh yeah.", "session_id": 10644, "sequence_id": 123, "annotations": []}
{"role": "volunteer", "content": "yeah, you'll probably get to the unit circle and you'll understand how to get the values of 09180, 270.", "session_id": 10644, "sequence_id": 124, "annotations": []}
{"role": "student", "content": "OK", "session_id": 10644, "sequence_id": 125, "annotations": []}
{"role": "student", "content": "Cause we can't use it cause like cosign, like we're 90 degrees is already the right angle, right?", "session_id": 10644, "sequence_id": 126, "annotations": []}
{"role": "volunteer", "content": "Uh-huh", "session_id": 10644, "sequence_id": 127, "annotations": []}
{"role": "student", "content": "Wait, but tangent 90, will that work?", "session_id": 10644, "sequence_id": 128, "annotations": []}
{"role": "student", "content": "Uh", "session_id": 10644, "sequence_id": 129, "annotations": []}
{"role": "volunteer", "content": "Um, that doesn't work either.", "session_id": 10644, "sequence_id": 130, "annotations": []}
{"role": "student", "content": "And then sign", "session_id": 10644, "sequence_id": 131, "annotations": []}
{"role": "student", "content": "Would that work", "session_id": 10644, "sequence_id": 132, "annotations": []}
{"role": "volunteer", "content": "No, not with the 30, 60, 90 triangle.", "session_id": 10644, "sequence_id": 133, "annotations": []}
{"role": "student", "content": "Oh, got it", "session_id": 10644, "sequence_id": 134, "annotations": []}
{"role": "student", "content": "So then for, you would have to do", "session_id": 10644, "sequence_id": 135, "annotations": []}
{"role": "student", "content": "um", "session_id": 10644, "sequence_id": 136, "annotations": []}
{"role": "student", "content": "so then why would be", "session_id": 10644, "sequence_id": 137, "annotations": []}
{"role": "volunteer", "content": "Well, you want to set it up as cosine 60.", "session_id": 10644, "sequence_id": 138, "annotations": []}
{"role": "student", "content": "yeah,", "session_id": 10644, "sequence_id": 139, "annotations": []}
{"role": "volunteer", "content": "equals", "session_id": 10644, "sequence_id": 140, "annotations": []}
{"role": "student", "content": "Um", "session_id": 10644, "sequence_id": 141, "annotations": []}
{"role": "student", "content": "and so it'd be co-sign.", "session_id": 10644, "sequence_id": 142, "annotations": []}
{"role": "student", "content": "60", "session_id": 10644, "sequence_id": 143, "annotations": []}
{"role": "volunteer", "content": "equals adjacent 8OY yeah.", "session_id": 10644, "sequence_id": 144, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 10644, "sequence_id": 145, "annotations": []}
{"role": "volunteer", "content": "Your other option is, your other option if you want, you could use the secant function, but I don't know if you like that idea.", "session_id": 10644, "sequence_id": 146, "annotations": []}
{"role": "student", "content": "Wait, how does theca work? Wait, like", "session_id": 10644, "sequence_id": 147, "annotations": []}
{"role": "student", "content": "you.", "session_id": 10644, "sequence_id": 148, "annotations": []}
{"role": "student", "content": "how would that like give us why?", "session_id": 10644, "sequence_id": 149, "annotations": []}
{"role": "volunteer", "content": "She can't is hypotenuse", "session_id": 10644, "sequence_id": 150, "annotations": []}
{"role": "volunteer", "content": "over", "session_id": 10644, "sequence_id": 151, "annotations": []}
{"role": "volunteer", "content": "adjacent", "session_id": 10644, "sequence_id": 152, "annotations": []}
{"role": "student", "content": "Mhm.", "session_id": 10644, "sequence_id": 153, "annotations": []}
{"role": "volunteer", "content": "So it'd be the reciprocal of what you have. See how you have 8 over y and I have y over 8.", "session_id": 10644, "sequence_id": 154, "annotations": []}
{"role": "student", "content": "Oh, OK", "session_id": 10644, "sequence_id": 155, "annotations": []}
{"role": "volunteer", "content": "But then then you have to know what CCA is. Well, you can", "session_id": 10644, "sequence_id": 156, "annotations": []}
{"role": "volunteer", "content": "look at your 30, 60, 90 triangle and CCan of 60 degrees.", "session_id": 10644, "sequence_id": 157, "annotations": []}
{"role": "volunteer", "content": "is hypotenuse over adjacent, so it's just 2.", "session_id": 10644, "sequence_id": 158, "annotations": []}
{"role": "student", "content": "OK", "session_id": 10644, "sequence_id": 159, "annotations": []}
{"role": "volunteer", "content": "So either way, whatever you understand best is how you should do it.", "session_id": 10644, "sequence_id": 160, "annotations": []}
{"role": "student", "content": "Um, cost 60.", "session_id": 10644, "sequence_id": 161, "annotations": []}
{"role": "student", "content": "would be um", "session_id": 10644, "sequence_id": 162, "annotations": []}
{"role": "student", "content": "half. So, what would it, so 8 over", "session_id": 10644, "sequence_id": 163, "annotations": []}
{"role": "student", "content": "half", "session_id": 10644, "sequence_id": 164, "annotations": []}
{"role": "student", "content": "116", "session_id": 10644, "sequence_id": 165, "annotations": []}
{"role": "student", "content": "OK", "session_id": 10644, "sequence_id": 166, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 10644, "sequence_id": 167, "annotations": []}
{"role": "volunteer", "content": "Uh, 8 divided by 1/2.", "session_id": 10644, "sequence_id": 168, "annotations": []}
{"role": "student", "content": "16", "session_id": 10644, "sequence_id": 169, "annotations": []}
{"role": "volunteer", "content": "is the same thing as 8 times 2/1, because when you divide by a fraction, you multiply by the reciprocal.", "session_id": 10644, "sequence_id": 170, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 10644, "sequence_id": 171, "annotations": []}
{"role": "student", "content": "OK", "session_id": 10644, "sequence_id": 172, "annotations": []}
{"role": "volunteer", "content": "And then you can think about it and think, oh, does that make sense? cause remember in the 30, 60, 90 triangle, the short sight is always half of the hypotenuse.", "session_id": 10644, "sequence_id": 173, "annotations": []}
{"role": "volunteer", "content": "We could have just thought of it that way.", "session_id": 10644, "sequence_id": 174, "annotations": []}
{"role": "student", "content": "Oh", "session_id": 10644, "sequence_id": 175, "annotations": []}
{"role": "student", "content": "so then X is 8 week day and then Y 16", "session_id": 10644, "sequence_id": 176, "annotations": []}
{"role": "student", "content": "I also have another question on", "session_id": 10644, "sequence_id": 177, "annotations": []}
{"role": "student", "content": "the 45, 45 and 90 triangles.", "session_id": 10644, "sequence_id": 178, "annotations": []}
{"role": "volunteer", "content": "Should I scroll down or you gonna clear the board?", "session_id": 10644, "sequence_id": 179, "annotations": []}
{"role": "student", "content": "sounds good.", "session_id": 10644, "sequence_id": 180, "annotations": []}
{"role": "student", "content": "Scroll down", "session_id": 10644, "sequence_id": 181, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 10644, "sequence_id": 182, "annotations": []}
{"role": "student", "content": "Um", "session_id": 10644, "sequence_id": 183, "annotations": []}
{"role": "student", "content": "yeah, this one", "session_id": 10644, "sequence_id": 184, "annotations": []}
{"role": "student", "content": "and so", "session_id": 10644, "sequence_id": 185, "annotations": []}
{"role": "student", "content": "like a big trouble with this cause like um", "session_id": 10644, "sequence_id": 186, "annotations": []}
{"role": "volunteer", "content": "basically", "session_id": 10644, "sequence_id": 187, "annotations": []}
{"role": "student", "content": "so like in the 90, like 6, 30, 60 triangle we know that like tan cosine, and then um sign won't work, 90 won't work, but like what would not work for the 45, 459 triangle.", "session_id": 10644, "sequence_id": 188, "annotations": []}
{"role": "volunteer", "content": "Um, so you're gonna use the 45 degree angle.", "session_id": 10644, "sequence_id": 189, "annotations": []}
{"role": "student", "content": "Mhm.", "session_id": 10644, "sequence_id": 190, "annotations": []}
{"role": "volunteer", "content": "Um", "session_id": 10644, "sequence_id": 191, "annotations": []}
{"role": "volunteer", "content": "you, you have to, you having to use rig for this, right?", "session_id": 10644, "sequence_id": 192, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 10644, "sequence_id": 193, "annotations": []}
{"role": "volunteer", "content": "OK.", "session_id": 10644, "sequence_id": 194, "annotations": []}
{"role": "volunteer", "content": "So, um", "session_id": 10644, "sequence_id": 195, "annotations": []}
{"role": "volunteer", "content": "we have the hypotenuse and we wanna know what X and Y are. So Xs opposite.", "session_id": 10644, "sequence_id": 196, "annotations": []}
{"role": "volunteer", "content": "the 45 degree angle.", "session_id": 10644, "sequence_id": 197, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 10644, "sequence_id": 198, "annotations": []}
{"role": "volunteer", "content": "So which tur function should we use for X?", "session_id": 10644, "sequence_id": 199, "annotations": []}
{"role": "student", "content": "um", "session_id": 10644, "sequence_id": 200, "annotations": []}
{"role": "student", "content": "we could do", "session_id": 10644, "sequence_id": 201, "annotations": []}
{"role": "student", "content": "opposite over", "session_id": 10644, "sequence_id": 202, "annotations": []}
{"role": "student", "content": "hypotenuse, which is", "session_id": 10644, "sequence_id": 203, "annotations": []}
{"role": "volunteer", "content": "Yes", "session_id": 10644, "sequence_id": 204, "annotations": []}
{"role": "student", "content": "sign for you.", "session_id": 10644, "sequence_id": 205, "annotations": []}
{"role": "volunteer", "content": "Oh, that's good. Yeah.", "session_id": 10644, "sequence_id": 206, "annotations": []}
{"role": "volunteer", "content": "Yeah, for sure", "session_id": 10644, "sequence_id": 207, "annotations": []}
{"role": "volunteer", "content": "no", "session_id": 10644, "sequence_id": 208, "annotations": []}
{"role": "volunteer", "content": "yeah, can you hear me in this house is.", "session_id": 10644, "sequence_id": 209, "annotations": []}
{"role": "volunteer", "content": "can you hear me? can you hear me now?", "session_id": 10644, "sequence_id": 210, "annotations": []}
{"role": "volunteer", "content": "Sorry", "session_id": 10644, "sequence_id": 211, "annotations": []}
{"role": "volunteer", "content": "You can hear my husband probably.", "session_id": 10644, "sequence_id": 212, "annotations": []}
{"role": "student", "content": "That's", "session_id": 10644, "sequence_id": 213, "annotations": []}
{"role": "student", "content": "um sign 45 would just be.", "session_id": 10644, "sequence_id": 214, "annotations": []}
{"role": "student", "content": "let's see", "session_id": 10644, "sequence_id": 215, "annotations": []}
{"role": "volunteer", "content": "uh", "session_id": 10644, "sequence_id": 216, "annotations": []}
{"role": "student", "content": "uh", "session_id": 10644, "sequence_id": 217, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 10644, "sequence_id": 218, "annotations": []}
{"role": "student", "content": "like opposite over hypotenuse, which is one of the two.", "session_id": 10644, "sequence_id": 219, "annotations": []}
{"role": "volunteer", "content": "Yes, just hang on one second.", "session_id": 10644, "sequence_id": 220, "annotations": []}
{"role": "student", "content": "So it just be 7 over root 2.", "session_id": 10644, "sequence_id": 221, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 10644, "sequence_id": 222, "annotations": []}
{"role": "volunteer", "content": "And does your teacher want you to rationalize, meaning get rid of the radical? OK.", "session_id": 10644, "sequence_id": 223, "annotations": []}
{"role": "volunteer", "content": "Are you drawing that with your mouse?", "session_id": 10644, "sequence_id": 224, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 10644, "sequence_id": 225, "annotations": []}
{"role": "student", "content": "Mm.", "session_id": 10644, "sequence_id": 226, "annotations": []}
{"role": "volunteer", "content": "That's pretty good", "session_id": 10644, "sequence_id": 227, "annotations": []}
{"role": "student", "content": "Mm", "session_id": 10644, "sequence_id": 228, "annotations": []}
{"role": "volunteer", "content": "Find it very hard to write neatly with the mouse.", "session_id": 10644, "sequence_id": 229, "annotations": []}
{"role": "student", "content": "Thank you", "session_id": 10644, "sequence_id": 230, "annotations": []}
{"role": "volunteer", "content": "All right, now the cosine", "session_id": 10644, "sequence_id": 231, "annotations": []}
{"role": "volunteer", "content": "Now, notice in your", "session_id": 10644, "sequence_id": 232, "annotations": []}
{"role": "volunteer", "content": "45 right triangle X and Y have the same value.", "session_id": 10644, "sequence_id": 233, "annotations": []}
{"role": "student", "content": "Yeah, so then", "session_id": 10644, "sequence_id": 234, "annotations": []}
{"role": "student", "content": "with this, we could do", "session_id": 10644, "sequence_id": 235, "annotations": []}
{"role": "student", "content": "adjacent over hip hop music, which is.", "session_id": 10644, "sequence_id": 236, "annotations": []}
{"role": "student", "content": "cosine", "session_id": 10644, "sequence_id": 237, "annotations": []}
{"role": "volunteer", "content": "But, but what I was pointing out is", "session_id": 10644, "sequence_id": 238, "annotations": []}
{"role": "volunteer", "content": "see how um in the 45 right triangle, you have two sides that are the same.", "session_id": 10644, "sequence_id": 239, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 10644, "sequence_id": 240, "annotations": []}
{"role": "volunteer", "content": "See? So X", "session_id": 10644, "sequence_id": 241, "annotations": []}
{"role": "volunteer", "content": "and Y have to be equal", "session_id": 10644, "sequence_id": 242, "annotations": []}
{"role": "volunteer", "content": "This X and this y have to be equal.", "session_id": 10644, "sequence_id": 243, "annotations": []}
{"role": "student", "content": "Oh yeah, I forgot about that", "session_id": 10644, "sequence_id": 244, "annotations": []}
{"role": "student", "content": "So then, oh yeah, cause isosceles and it too, so then it would be so the same thing.", "session_id": 10644, "sequence_id": 245, "annotations": []}
{"role": "volunteer", "content": "Right", "session_id": 10644, "sequence_id": 246, "annotations": []}
{"role": "volunteer", "content": "Oh yeah", "session_id": 10644, "sequence_id": 247, "annotations": []}
{"role": "student", "content": "But like doing cosine 45 would also work, right? Like get the sea.", "session_id": 10644, "sequence_id": 248, "annotations": []}
{"role": "volunteer", "content": "Yup", "session_id": 10644, "sequence_id": 249, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 10644, "sequence_id": 250, "annotations": []}
{"role": "student", "content": "And, OK. Yeah.", "session_id": 10644, "sequence_id": 251, "annotations": []}
{"role": "student", "content": "That's all", "session_id": 10644, "sequence_id": 252, "annotations": []}
{"role": "volunteer", "content": "That's it", "session_id": 10644, "sequence_id": 253, "annotations": []}
{"role": "student", "content": "Actually, wait, I have like another question.", "session_id": 10644, "sequence_id": 254, "annotations": []}
{"role": "student", "content": "Um, I just said a question on the word poems.", "session_id": 10644, "sequence_id": 255, "annotations": []}
{"role": "student", "content": "Hm", "session_id": 10644, "sequence_id": 256, "annotations": []}
{"role": "student", "content": "for this, I was like a little confused.", "session_id": 10644, "sequence_id": 257, "annotations": []}
{"role": "student", "content": "Yeah, for this one", "session_id": 10644, "sequence_id": 258, "annotations": []}
{"role": "student", "content": "I was like uh confused.", "session_id": 10644, "sequence_id": 259, "annotations": []}
{"role": "student", "content": "like", "session_id": 10644, "sequence_id": 260, "annotations": []}
{"role": "student", "content": "the altitude of an equilateral time the side.", "session_id": 10644, "sequence_id": 261, "annotations": []}
{"role": "student", "content": "and the altitude is", "session_id": 10644, "sequence_id": 262, "annotations": []}
{"role": "student", "content": "18", "session_id": 10644, "sequence_id": 263, "annotations": []}
{"role": "student", "content": "Find the length of the side.", "session_id": 10644, "sequence_id": 264, "annotations": []}
{"role": "student", "content": "Um, oh, so then the side will also be 18.", "session_id": 10644, "sequence_id": 265, "annotations": []}
{"role": "student", "content": "or is that not colored", "session_id": 10644, "sequence_id": 266, "annotations": []}
{"role": "volunteer", "content": "No, only the altitude is 18.", "session_id": 10644, "sequence_id": 267, "annotations": []}
{"role": "volunteer", "content": "So what do you know about the angles in an equilateral triangle.", "session_id": 10644, "sequence_id": 268, "annotations": []}
{"role": "student", "content": "They're all equal. Oh, you do trick, right?", "session_id": 10644, "sequence_id": 269, "annotations": []}
{"role": "volunteer", "content": "They are all equal, but what are they equal to?", "session_id": 10644, "sequence_id": 270, "annotations": []}
{"role": "student", "content": "30, I mean, sorry, 60.", "session_id": 10644, "sequence_id": 271, "annotations": []}
{"role": "volunteer", "content": "Yes", "session_id": 10644, "sequence_id": 272, "annotations": []}
{"role": "volunteer", "content": "so we could call this side s", "session_id": 10644, "sequence_id": 273, "annotations": []}
{"role": "volunteer", "content": "and this is 60 degrees.", "session_id": 10644, "sequence_id": 274, "annotations": []}
{"role": "student", "content": "Yeah.", "session_id": 10644, "sequence_id": 275, "annotations": []}
{"role": "volunteer", "content": "and um", "session_id": 10644, "sequence_id": 276, "annotations": []}
{"role": "volunteer", "content": "what kind of angle does the altitude form with the base?", "session_id": 10644, "sequence_id": 277, "annotations": []}
{"role": "student", "content": "Um, 10, I mean, sorry, 90.", "session_id": 10644, "sequence_id": 278, "annotations": []}
{"role": "volunteer", "content": "Mhm", "session_id": 10644, "sequence_id": 279, "annotations": []}
{"role": "volunteer", "content": "All right, so", "session_id": 10644, "sequence_id": 280, "annotations": []}
{"role": "student", "content": "Oh, and then you just drink. So then we could do like", "session_id": 10644, "sequence_id": 281, "annotations": []}
{"role": "student", "content": "um,", "session_id": 10644, "sequence_id": 282, "annotations": []}
{"role": "student", "content": "opposite partners, which is", "session_id": 10644, "sequence_id": 283, "annotations": []}
{"role": "student", "content": "sign 6", "session_id": 10644, "sequence_id": 284, "annotations": []}
{"role": "volunteer", "content": "mhm.", "session_id": 10644, "sequence_id": 285, "annotations": []}
{"role": "student", "content": "So in a 30,690 triangle window that sign 60 would just be", "session_id": 10644, "sequence_id": 286, "annotations": []}
{"role": "student", "content": "interested in her partners.", "session_id": 10644, "sequence_id": 287, "annotations": []}
{"role": "student", "content": "which is", "session_id": 10644, "sequence_id": 288, "annotations": []}
{"role": "student", "content": "root 3 over 2.", "session_id": 10644, "sequence_id": 289, "annotations": []}
{"role": "volunteer", "content": "Mhm", "session_id": 10644, "sequence_id": 290, "annotations": []}
{"role": "student", "content": "So then 18 over", "session_id": 10644, "sequence_id": 291, "annotations": []}
{"role": "student", "content": "3/2.", "session_id": 10644, "sequence_id": 292, "annotations": []}
{"role": "student", "content": "So we know the X is 12 2.", "session_id": 10644, "sequence_id": 293, "annotations": []}
{"role": "volunteer", "content": "Yup. Good", "session_id": 10644, "sequence_id": 294, "annotations": []}
{"role": "student", "content": "Mm", "session_id": 10644, "sequence_id": 295, "annotations": []}
{"role": "student", "content": "OK. Yeah, I got it. Thank you. That's all.", "session_id": 10644, "sequence_id": 296, "annotations": []}
{"role": "volunteer", "content": "OK. You're welcome. Anything else? That's it.", "session_id": 10644, "sequence_id": 297, "annotations": []}
{"role": "student", "content": "That's all", "session_id": 10644, "sequence_id": 298, "annotations": []}
{"role": "volunteer", "content": "All right. Have a good evening", "session_id": 10644, "sequence_id": 299, "annotations": []}
{"role": "student", "content": "You too, bye", "session_id": 10644, "sequence_id": 300, "annotations": []}
{"role": "volunteer", "content": "Bye-bye.", "session_id": 10644, "sequence_id": 301, "annotations": []}
{"role": "volunteer", "content": "hello!", "session_id": 12091, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "how can i help", "session_id": 12091, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "The question I need help with is \u201cthe sides of a triangle have measures of x,x+5, and 25. If the measure of the longest side is 25, what value of x makes the triangle a right triangle?\u201d", "session_id": 12091, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "Hello!!", "session_id": 12091, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 12091, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "yk pythagorean theorem", "session_id": 12091, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "a squared + b square = c squared?", "session_id": 12091, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "yeah", "session_id": 12091, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "Alex draw this problem out for me", "session_id": 12091, "sequence_id": 8, "annotations": [{"pii_type": "PERSON", "surrogate": "Alex", "start": 0, "end": 4}]}
{"role": "student", "content": "Ok", "session_id": 12091, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "itll help a lot", "session_id": 12091, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "Ok got it!", "session_id": 12091, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "Now what do I do?", "session_id": 12091, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "did you draw it?", "session_id": 12091, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "No there is no drawing ", "session_id": 12091, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "oh", "session_id": 12091, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "It\u2019s a world problem ", "session_id": 12091, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "nono", "session_id": 12091, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "i mean can you draw what you think the problem is tleling you", "session_id": 12091, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "for a lot of math problems, drawing it out is a good first step", "session_id": 12091, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "or writing some idea out", "session_id": 12091, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "Right ok let me try and draw it", "session_id": 12091, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "Is that how you draw it? I wrote it in the board ", "session_id": 12091, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "hm", "session_id": 12091, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "not quite", "session_id": 12091, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "whats the largest side of a riht triangle?", "session_id": 12091, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "Yeah I\u2019m not sure then ", "session_id": 12091, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "Largest side is 25", "session_id": 12091, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "yup", "session_id": 12091, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "lets change the drawing to match", "session_id": 12091, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "ur sides are x x+5 and 25", "session_id": 12091, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "Ohh right ok so it would be like this ", "session_id": 12091, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "I drew it on the board ", "session_id": 12091, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "mmm close", "session_id": 12091, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "r u sure its 5", "session_id": 12091, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "Are they both x?", "session_id": 12091, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "no", "session_id": 12091, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "x PLUS 5", "session_id": 12091, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "Ohhhh", "session_id": 12091, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "Right", "session_id": 12091, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "So is it like that ", "session_id": 12091, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "yup", "session_id": 12091, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "The picture I put in the board ", "session_id": 12091, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "good work!", "session_id": 12091, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "does this triangle amke sense", "session_id": 12091, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "Teacher!!", "session_id": 12091, "sequence_id": 45, "annotations": [{"pii_type": "PERSON", "surrogate": "Teacher", "start": 0, "end": 7}]}
{"role": "student", "content": "Yeah", "session_id": 12091, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "alright", "session_id": 12091, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "lets apply pythagoran theorem now", "session_id": 12091, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "X+5^2+x^2=25^2?", "session_id": 12091, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "uh (x+5)^2", "session_id": 12091, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "but yeah", "session_id": 12091, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "remember parentheses", "session_id": 12091, "sequence_id": 52, "annotations": []}
{"role": "student", "content": "Oh right!", "session_id": 12091, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "looks like u just have x+25", "session_id": 12091, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "but yeah", "session_id": 12091, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "now jsut go ahead and solve for x", "session_id": 12091, "sequence_id": 56, "annotations": []}
{"role": "student", "content": "Sir", "session_id": 12091, "sequence_id": 57, "annotations": [{"pii_type": "PERSON", "surrogate": "Sir", "start": 0, "end": 3}]}
{"role": "student", "content": "Wait for the (x+5) ^2 how would I do that?", "session_id": 12091, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "expand it", "session_id": 12091, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "do you know FOIL", "session_id": 12091, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "or like the square of a sum", "session_id": 12091, "sequence_id": 61, "annotations": []}
{"role": "student", "content": "No..", "session_id": 12091, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 12091, "sequence_id": 63, "annotations": []}
{"role": "student", "content": "I\u2019m pretty sure I forgot it", "session_id": 12091, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "this is a realllllyl important thing to knwo", "session_id": 12091, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "well just real quick", "session_id": 12091, "sequence_id": 66, "annotations": []}
{"role": "student", "content": "Ma'am", "session_id": 12091, "sequence_id": 67, "annotations": [{"pii_type": "PERSON", "surrogate": "Ma'am", "start": 0, "end": 5}]}
{"role": "volunteer", "content": "(a+b)^2=a^2+2ab+b^2", "session_id": 12091, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "and (a-b)^2=a^2-2ab+b^2", "session_id": 12091, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "ill write on board", "session_id": 12091, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "FOIL stands for INNER LAST", "session_id": 12091, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "which is a useful step order to follow", "session_id": 12091, "sequence_id": 72, "annotations": []}
{"role": "student", "content": "Professor ok", "session_id": 12091, "sequence_id": 73, "annotations": [{"pii_type": "PERSON", "surrogate": "Professor", "start": 0, "end": 9}]}
{"role": "volunteer", "content": "add them up", "session_id": 12091, "sequence_id": 74, "annotations": []}
{"role": "volunteer", "content": "u get a^2+2ab+b^2", "session_id": 12091, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "make sense?", "session_id": 12091, "sequence_id": 76, "annotations": []}
{"role": "student", "content": "I got 1.42", "session_id": 12091, "sequence_id": 77, "annotations": []}
{"role": "student", "content": "I mean 1.41", "session_id": 12091, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "for x?", "session_id": 12091, "sequence_id": 79, "annotations": []}
{"role": "student", "content": " Yep", "session_id": 12091, "sequence_id": 80, "annotations": []}
{"role": "volunteer", "content": "u sure?", "session_id": 12091, "sequence_id": 81, "annotations": []}
{"role": "student", "content": "Yeah ", "session_id": 12091, "sequence_id": 82, "annotations": []}
{"role": "volunteer", "content": "can u show me how u got there", "session_id": 12091, "sequence_id": 83, "annotations": []}
{"role": "student", "content": "Ok it\u2019s on the board ", "session_id": 12091, "sequence_id": 84, "annotations": []}
{"role": "volunteer", "content": "right so", "session_id": 12091, "sequence_id": 85, "annotations": []}
{"role": "volunteer", "content": "(x+5)^2 is not x^2+t^2", "session_id": 12091, "sequence_id": 86, "annotations": []}
{"role": "volunteer", "content": "5^2", "session_id": 12091, "sequence_id": 87, "annotations": []}
{"role": "volunteer", "content": "and where did 2 come from", "session_id": 12091, "sequence_id": 88, "annotations": []}
{"role": "volunteer", "content": "remember foil", "session_id": 12091, "sequence_id": 89, "annotations": []}
{"role": "student", "content": "Right give me a minute ", "session_id": 12091, "sequence_id": 90, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 12091, "sequence_id": 91, "annotations": []}
{"role": "student", "content": "Yeah, im sorry I\u2019m still fconfused ", "session_id": 12091, "sequence_id": 92, "annotations": []}
{"role": "volunteer", "content": "well lets start with (x+5)^2", "session_id": 12091, "sequence_id": 93, "annotations": []}
{"role": "volunteer", "content": "which is (x+5)(x+5)", "session_id": 12091, "sequence_id": 94, "annotations": []}
{"role": "student", "content": "Ok", "session_id": 12091, "sequence_id": 95, "annotations": []}
{"role": "volunteer", "content": "thats not just x^2 plus 5^2", "session_id": 12091, "sequence_id": 96, "annotations": []}
{"role": "volunteer", "content": "theres two 5*x's u forgot about", "session_id": 12091, "sequence_id": 97, "annotations": []}
{"role": "student", "content": "Coach got it ", "session_id": 12091, "sequence_id": 98, "annotations": [{"pii_type": "PERSON", "surrogate": "Coach", "start": 0, "end": 5}]}
{"role": "volunteer", "content": "please just try using foil", "session_id": 12091, "sequence_id": 99, "annotations": []}
{"role": "student", "content": "Ok got it ", "session_id": 12091, "sequence_id": 100, "annotations": []}
{"role": "volunteer", "content": "lmk what u get", "session_id": 12091, "sequence_id": 101, "annotations": []}
{"role": "student", "content": "24.5", "session_id": 12091, "sequence_id": 102, "annotations": []}
{"role": "volunteer", "content": "not quite", "session_id": 12091, "sequence_id": 103, "annotations": []}
{"role": "volunteer", "content": "if x=24.5", "session_id": 12091, "sequence_id": 104, "annotations": []}
{"role": "volunteer", "content": "then x+5 is 29.5", "session_id": 12091, "sequence_id": 105, "annotations": []}
{"role": "volunteer", "content": "which is longer than 25", "session_id": 12091, "sequence_id": 106, "annotations": []}
{"role": "volunteer", "content": "whats ur thinking now", "session_id": 12091, "sequence_id": 107, "annotations": []}
{"role": "student", "content": "This is what I got I\u2019ll show a picture in the birds ", "session_id": 12091, "sequence_id": 108, "annotations": []}
{"role": "student", "content": "Board ", "session_id": 12091, "sequence_id": 109, "annotations": []}
{"role": "student", "content": "Give me a minued", "session_id": 12091, "sequence_id": 110, "annotations": []}
{"role": "student", "content": "Minute ", "session_id": 12091, "sequence_id": 111, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 12091, "sequence_id": 112, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 12091, "sequence_id": 113, "annotations": []}
{"role": "volunteer", "content": "so", "session_id": 12091, "sequence_id": 114, "annotations": []}
{"role": "volunteer", "content": "whats this one", "session_id": 12091, "sequence_id": 115, "annotations": []}
{"role": "student", "content": "Cause x^2=1?", "session_id": 12091, "sequence_id": 116, "annotations": []}
{"role": "volunteer", "content": "why", "session_id": 12091, "sequence_id": 117, "annotations": []}
{"role": "volunteer", "content": "ur solving for x", "session_id": 12091, "sequence_id": 118, "annotations": []}
{"role": "volunteer", "content": "and if x^2=1", "session_id": 12091, "sequence_id": 119, "annotations": []}
{"role": "volunteer", "content": "this is 1 too", "session_id": 12091, "sequence_id": 120, "annotations": []}
{"role": "student", "content": "I\u2019m only having trouble on the( x+5)^2", "session_id": 12091, "sequence_id": 121, "annotations": []}
{"role": "volunteer", "content": "ur not using foil", "session_id": 12091, "sequence_id": 122, "annotations": []}
{"role": "student", "content": "Is there a way you can draw it on the board so I can\u2019t understand it better?", "session_id": 12091, "sequence_id": 123, "annotations": []}
{"role": "volunteer", "content": "see this?", "session_id": 12091, "sequence_id": 124, "annotations": []}
{"role": "student", "content": "Yeahhhh ", "session_id": 12091, "sequence_id": 125, "annotations": []}
{"role": "student", "content": "Ohhh ", "session_id": 12091, "sequence_id": 126, "annotations": []}
{"role": "volunteer", "content": "FIRST", "session_id": 12091, "sequence_id": 127, "annotations": []}
{"role": "volunteer", "content": "OUTER", "session_id": 12091, "sequence_id": 128, "annotations": []}
{"role": "student", "content": "Now I get itt", "session_id": 12091, "sequence_id": 129, "annotations": []}
{"role": "volunteer", "content": "INNER", "session_id": 12091, "sequence_id": 130, "annotations": []}
{"role": "volunteer", "content": "LAST", "session_id": 12091, "sequence_id": 131, "annotations": []}
{"role": "volunteer", "content": "give it a shot now", "session_id": 12091, "sequence_id": 132, "annotations": []}
{"role": "student", "content": "Mentor", "session_id": 12091, "sequence_id": 133, "annotations": [{"pii_type": "PERSON", "surrogate": "Mentor", "start": 0, "end": 6}]}
{"role": "student", "content": "42.9", "session_id": 12091, "sequence_id": 134, "annotations": []}
{"role": "student", "content": "I\u2019m doing something wrong ", "session_id": 12091, "sequence_id": 135, "annotations": []}
{"role": "student", "content": "I\u2019m pretty sure ", "session_id": 12091, "sequence_id": 136, "annotations": []}
{"role": "volunteer", "content": "yeah wahts up this time", "session_id": 12091, "sequence_id": 137, "annotations": []}
{"role": "student", "content": "Did I do it wrong again?", "session_id": 12091, "sequence_id": 138, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 12091, "sequence_id": 139, "annotations": []}
{"role": "volunteer", "content": "ur super close", "session_id": 12091, "sequence_id": 140, "annotations": []}
{"role": "volunteer", "content": "2x^2+10x", "session_id": 12091, "sequence_id": 141, "annotations": []}
{"role": "volunteer", "content": "is not 14x", "session_id": 12091, "sequence_id": 142, "annotations": []}
{"role": "volunteer", "content": "theyre 2 separate terms", "session_id": 12091, "sequence_id": 143, "annotations": []}
{"role": "student", "content": "So how would you solve it?", "session_id": 12091, "sequence_id": 144, "annotations": []}
{"role": "volunteer", "content": "factor out x", "session_id": 12091, "sequence_id": 145, "annotations": []}
{"role": "volunteer", "content": "acutlly no", "session_id": 12091, "sequence_id": 146, "annotations": []}
{"role": "volunteer", "content": "sorry", "session_id": 12091, "sequence_id": 147, "annotations": []}
{"role": "volunteer", "content": "2x^2+10x-600=0 right", "session_id": 12091, "sequence_id": 148, "annotations": []}
{"role": "student", "content": "Yeah ", "session_id": 12091, "sequence_id": 149, "annotations": []}
{"role": "student", "content": "But why =0", "session_id": 12091, "sequence_id": 150, "annotations": []}
{"role": "volunteer", "content": "subtract 600 from both sides?", "session_id": 12091, "sequence_id": 151, "annotations": []}
{"role": "student", "content": "Oh okk", "session_id": 12091, "sequence_id": 152, "annotations": []}
{"role": "volunteer", "content": "So to solve", "session_id": 12091, "sequence_id": 153, "annotations": []}
{"role": "volunteer", "content": "quadratics?", "session_id": 12091, "sequence_id": 154, "annotations": []}
{"role": "student", "content": "No ", "session_id": 12091, "sequence_id": 155, "annotations": []}
{"role": "volunteer", "content": "uh", "session_id": 12091, "sequence_id": 156, "annotations": []}
{"role": "volunteer", "content": "well thats not good", "session_id": 12091, "sequence_id": 157, "annotations": []}
{"role": "volunteer", "content": "have u never had like ax^2+bx+c=0", "session_id": 12091, "sequence_id": 158, "annotations": []}
{"role": "volunteer", "content": "solve for x?", "session_id": 12091, "sequence_id": 159, "annotations": []}
{"role": "student", "content": "I don\u2019t remember ", "session_id": 12091, "sequence_id": 160, "annotations": []}
{"role": "volunteer", "content": "hm", "session_id": 12091, "sequence_id": 161, "annotations": []}
{"role": "volunteer", "content": "lemme think", "session_id": 12091, "sequence_id": 162, "annotations": []}
{"role": "volunteer", "content": "gimme a couple minutes", "session_id": 12091, "sequence_id": 163, "annotations": []}
{"role": "volunteer", "content": "not sure how i can explain this", "session_id": 12091, "sequence_id": 164, "annotations": []}
{"role": "student", "content": "Teacher", "session_id": 12091, "sequence_id": 165, "annotations": [{"pii_type": "PERSON", "surrogate": "Teacher", "start": 0, "end": 7}]}
{"role": "student", "content": "Could you just solve it and enter a picture, I\u2019m more of a visual learner and I will learn it that way. Plwase", "session_id": 12091, "sequence_id": 166, "annotations": []}
{"role": "student", "content": "Please ", "session_id": 12091, "sequence_id": 167, "annotations": []}
{"role": "volunteer", "content": "well the issue is like", "session_id": 12091, "sequence_id": 168, "annotations": []}
{"role": "volunteer", "content": "this is a HUGE topic", "session_id": 12091, "sequence_id": 169, "annotations": []}
{"role": "volunteer", "content": "that you geninely just need a teacher for", "session_id": 12091, "sequence_id": 170, "annotations": []}
{"role": "volunteer", "content": "liek this one of the core parts of", "session_id": 12091, "sequence_id": 171, "annotations": []}
{"role": "volunteer", "content": "algebra", "session_id": 12091, "sequence_id": 172, "annotations": []}
{"role": "student", "content": "Right,", "session_id": 12091, "sequence_id": 173, "annotations": []}
{"role": "volunteer", "content": "idt i can acutally help u with this", "session_id": 12091, "sequence_id": 174, "annotations": []}
{"role": "student", "content": "So you won\u2019t really do much help ", "session_id": 12091, "sequence_id": 175, "annotations": []}
{"role": "volunteer", "content": "hm", "session_id": 12091, "sequence_id": 176, "annotations": []}
{"role": "volunteer", "content": "yeah", "session_id": 12091, "sequence_id": 177, "annotations": []}
{"role": "student", "content": "That\u2019s alright ", "session_id": 12091, "sequence_id": 178, "annotations": []}
{"role": "volunteer", "content": "ur one the. literal last step", "session_id": 12091, "sequence_id": 179, "annotations": []}
{"role": "volunteer", "content": "u just neeeeeed to solve for x", "session_id": 12091, "sequence_id": 180, "annotations": []}
{"role": "student", "content": "It\u2019s find I\u2019ll find a wat", "session_id": 12091, "sequence_id": 181, "annotations": []}
{"role": "student", "content": "Way ", "session_id": 12091, "sequence_id": 182, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 12091, "sequence_id": 183, "annotations": []}
{"role": "volunteer", "content": "Try this then?", "session_id": 12091, "sequence_id": 184, "annotations": []}
{"role": "student", "content": "Thank you though ", "session_id": 12091, "sequence_id": 185, "annotations": []}
{"role": "volunteer", "content": "unless you have toehr questions", "session_id": 12091, "sequence_id": 186, "annotations": []}
{"role": "student", "content": "Yeah ", "session_id": 12091, "sequence_id": 187, "annotations": []}
{"role": "student", "content": "Nope no other questions ", "session_id": 12091, "sequence_id": 188, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 12091, "sequence_id": 189, "annotations": []}
{"role": "volunteer", "content": "ave a good one", "session_id": 12091, "sequence_id": 190, "annotations": []}
{"role": "student", "content": "You too", "session_id": 12091, "sequence_id": 191, "annotations": []}
{"role": "volunteer", "content": "sorry for not being able to help", "session_id": 12091, "sequence_id": 192, "annotations": []}
{"role": "volunteer", "content": "Howdy !", "session_id": 10756, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "I'm fine, hru?", "session_id": 10756, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "Also good.", "session_id": 10756, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "Got some juicy math problems you wanna look at?", "session_id": 10756, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "Well, I have a big test coming up tmr, and honestly I was looking at the samples and for some reasons my mind went blank, it's like i forgot the things we studied for :(, I'll put them on the board and we can go through them one by one", "session_id": 10756, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "Yeah, that happens.", "session_id": 10756, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "let's do b on this one", "session_id": 10756, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "Part of the human condition I suppose.", "session_id": 10756, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "oh okay", "session_id": 10756, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "So this format looks strange to me.", "session_id": 10756, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "Are they asking you to take the first derivative of f(x) and then evaluate that at x = 0 ???", "session_id": 10756, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "I mean we would evaluate at x=0 at some point, but yes we have to find derivative of whatever is inside there", "session_id": 10756, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "But you are given the table at the top.", "session_id": 10756, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "So they already gave us the answer.", "session_id": 10756, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "f prime evaluated at x = 0 is 7.", "session_id": 10756, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "But does this table only apply to part a and not part b?", "session_id": 10756, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "Sorry but this question is confusing to me...", "session_id": 10756, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "it applies to part b, but in the midterm they want us to show how we solve it", "session_id": 10756, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "So there's the first derivative.", "session_id": 10756, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "But when you evaluate that at x = 0, you get 0 which is not matching the table above.", "session_id": 10756, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "wait let me send you something", "session_id": 10756, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "In fact, the values in the table seem to match only to part a and not part b.", "session_id": 10756, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "this is what the answer key says", "session_id": 10756, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "Sorry but this doesn't make any sense to me.", "session_id": 10756, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "i think they are referring to the fact that the format inside the parenthesis is like e^x", "session_id": 10756, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "Yeah, dunno.", "session_id": 10756, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "Got another problem?", "session_id": 10756, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "okay no problem, we can move on", "session_id": 10756, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "So you guys are doing implicit differentiation.", "session_id": 10756, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "yope", "session_id": 10756, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "Is that a yes or a no?", "session_id": 10756, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "that's a yes", "session_id": 10756, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": ":-)", "session_id": 10756, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "So we take the derivative of each side (left and right) with respect to x", "session_id": 10756, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "So on the left, we get that - does that make sense?", "session_id": 10756, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "And on the right, using the product rule, we get that.", "session_id": 10756, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "oh I thought on the right we'll do chain rule", "session_id": 10756, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "You have y times (x - Pi) so you need to use the product rule.", "session_id": 10756, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "We used the chain rule on the left hand side with the trig function.", "session_id": 10756, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "is it because inside the parenthesis there is a minus sign?", "session_id": 10756, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "No - that minus sign doesn't matter.", "session_id": 10756, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "Let's say you just had y times x on the right.", "session_id": 10756, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "So  you have 2 terms y and x.", "session_id": 10756, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "And to take the derivative, you apply the product rule (first term times derivative of the second plus the second term times the derivative of the first).", "session_id": 10756, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "All making sense?", "session_id": 10756, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "ik what all rules are and how to do them it's just looking at it, I thought it was function inside a function", "session_id": 10756, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "So at this point, the calculus is done.", "session_id": 10756, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "You just multiply out and solve for dy/dx.", "session_id": 10756, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "Do you need me to do that, or are you good with it as it is?", "session_id": 10756, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "one min", "session_id": 10756, "sequence_id": 49, "annotations": []}
{"role": "student", "content": "so on which side do you want the dy/dx to go to?", "session_id": 10756, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "You usually put it on the left side.", "session_id": 10756, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "okay please do it", "session_id": 10756, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "So let's move all the dy/dx terms over to the left side.", "session_id": 10756, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "Then we'll factor out the dy/dx and thus can solve for it.", "session_id": 10756, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "So there's the answer.", "session_id": 10756, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "Messy, but correct methinks.", "session_id": 10756, "sequence_id": 56, "annotations": []}
{"role": "student", "content": "yes, correct, so for b then, do we plug the (pi,1) throughout the answer we just got ?", "session_id": 10756, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "Yes.", "session_id": 10756, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "That will give you the slope at that point.", "session_id": 10756, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "And you're already given the point itself, so you just plug all that in the point-slope format for a line.", "session_id": 10756, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "Yep - cosine of pi is negative 1", "session_id": 10756, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": ":-)", "session_id": 10756, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "Yup, that's why I get also.", "session_id": 10756, "sequence_id": 63, "annotations": []}
{"role": "student", "content": "so do we keep it in the format 2/-pi?", "session_id": 10756, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "That's the slope.", "session_id": 10756, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "Now you use m = y_2 - y_1 / x_2 - x_1", "session_id": 10756, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "Yep, that's the answer.", "session_id": 10756, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "This stuff will make your head explode !!!", "session_id": 10756, "sequence_id": 68, "annotations": []}
{"role": "student", "content": "i was just gonna say that :)", "session_id": 10756, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": ":-)", "session_id": 10756, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "Okay, so I need to get rolling here...", "session_id": 10756, "sequence_id": 71, "annotations": []}
{"role": "student", "content": "really?", "session_id": 10756, "sequence_id": 72, "annotations": []}
{"role": "student", "content": "can we do one more page", "session_id": 10756, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "Yep, I gotta roll.", "session_id": 10756, "sequence_id": 74, "annotations": []}
{"role": "student", "content": "okay bye", "session_id": 10756, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "Good luck to you !!!", "session_id": 10756, "sequence_id": 76, "annotations": []}
{"role": "student", "content": "I need help reviewing chapter 4 of precalc and going over graphing and solving trig functions", "session_id": 10734, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 10734, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "where is the question", "session_id": 10734, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "are you there", "session_id": 10734, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "yes", "session_id": 10734, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "I\u2019m not exactly sure how to use the unit circle to memorize the exact values of trig finctions", "session_id": 10734, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "oh k", "session_id": 10734, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "do you have any problems", "session_id": 10734, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "or are you just memorizing the unit circle", "session_id": 10734, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "memorizing", "session_id": 10734, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "oh k", "session_id": 10734, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "do you have any parts memorized", "session_id": 10734, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "no, but I want to know if there is an easy way to memorize it and actually understand it, or if it is just pure memory", "session_id": 10734, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "I wwould say once youhave memorized the first quadrant the rest are super easy because it is basic understanding of the cordinante plane", "session_id": 10734, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "ok", "session_id": 10734, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "do you want me to draw the unit circle", "session_id": 10734, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "yes please", "session_id": 10734, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "here", "session_id": 10734, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "thanks, and for the 2nd quadrant the x values in the 1st quadrant become negative. and for the 3rd quadrant the y values also become negative, and for the 4th quadrant on the y values become negative?", "session_id": 10734, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "yes that would be right", "session_id": 10734, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "Your a genius", "session_id": 10734, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "thanks", "session_id": 10734, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "Hey Jamie, what do you need help with today", "session_id": 10767, "sequence_id": 0, "annotations": [{"pii_type": "PERSON", "surrogate": "Jamie", "start": 4, "end": 9}]}
{"role": "student", "content": "hello how are you", "session_id": 10767, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "Good, how about you", "session_id": 10767, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "im good thanks for asking", "session_id": 10767, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "ill write the problem im working on the board", "session_id": 10767, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 10767, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "is thsi ap precalc or some other type", "session_id": 10767, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "this is precalc", "session_id": 10767, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 10767, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "ill show what i got for the vertical asymptote", "session_id": 10767, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 10767, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "this is what i got", "session_id": 10767, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "but idk if this is correct", "session_id": 10767, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "your vertical asymptote is correct", "session_id": 10767, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "okay", "session_id": 10767, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "for the ha i got y=0", "session_id": 10767, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "how", "session_id": 10767, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "from what my teacher taught us, there are three cases of how to get the ha", "session_id": 10767, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "my teachers said that the higher power determines the ha in a rational functions", "session_id": 10767, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 10767, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "that is right", "session_id": 10767, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "he said that when the denomiator is greater than the numerator, the ha is y=0", "session_id": 10767, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "okay", "session_id": 10767, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "look at the board", "session_id": 10767, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "is that what your saying", "session_id": 10767, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "yes", "session_id": 10767, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 10767, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "but remember you have -2", "session_id": 10767, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "after that", "session_id": 10767, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "so would y=0-2 is the ha?", "session_id": 10767, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 10767, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "okay", "session_id": 10767, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "so -2", "session_id": 10767, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "okay", "session_id": 10767, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "But you could have also said", "session_id": 10767, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "the function is getting moved 3 to the left and 2 down", "session_id": 10767, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "oh okay", "session_id": 10767, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "and you could say the vertical asymptote is -3 and ha is -2", "session_id": 10767, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "okay", "session_id": 10767, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "can you help me with another one", "session_id": 10767, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 10767, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "okay let me clear the board really quick", "session_id": 10767, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 10767, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "the instructions are the same, I still have to find the vertical asymptote and ha", "session_id": 10767, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 10767, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "for this one i was wondering if i just expand the problem", "session_id": 10767, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "or you could just do what you did last time to find the va", "session_id": 10767, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "would i square the x and 2 though?", "session_id": 10767, "sequence_id": 47, "annotations": []}
{"role": "student", "content": "becuase the exponent is 2", "session_id": 10767, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "you should do the opposite of an exponent, which is square root", "session_id": 10767, "sequence_id": 49, "annotations": []}
{"role": "student", "content": "so I would square root both sides?", "session_id": 10767, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "to both sides so you dont have to deal with the extra steps", "session_id": 10767, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "ya", "session_id": 10767, "sequence_id": 52, "annotations": []}
{"role": "student", "content": "like this?", "session_id": 10767, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "ya", "session_id": 10767, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "now simplify it", "session_id": 10767, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "do you know how", "session_id": 10767, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "to do that", "session_id": 10767, "sequence_id": 57, "annotations": []}
{"role": "student", "content": "would this be correct", "session_id": 10767, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "where did you do it", "session_id": 10767, "sequence_id": 59, "annotations": []}
{"role": "student", "content": "sorry the wifi disconnected for a minute let me rewrite what i did", "session_id": 10767, "sequence_id": 60, "annotations": []}
{"role": "student", "content": "i got x=2", "session_id": 10767, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "that would be right", "session_id": 10767, "sequence_id": 62, "annotations": []}
{"role": "student", "content": "okay", "session_id": 10767, "sequence_id": 63, "annotations": []}
{"role": "student", "content": "for this, i got y=0 as well", "session_id": 10767, "sequence_id": 64, "annotations": []}
{"role": "student", "content": "and after that i added the 1 and y=1", "session_id": 10767, "sequence_id": 65, "annotations": []}
{"role": "student", "content": "is that right?", "session_id": 10767, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "yes that would be right", "session_id": 10767, "sequence_id": 67, "annotations": []}
{"role": "student", "content": "okay", "session_id": 10767, "sequence_id": 68, "annotations": []}
{"role": "student", "content": "well these 2 are the only ones I needed help with", "session_id": 10767, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 10767, "sequence_id": 70, "annotations": []}
{"role": "student", "content": "thank you so much! have a great evening!", "session_id": 10767, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "if you need help with something else, you can stay here and just ask me later", "session_id": 10767, "sequence_id": 72, "annotations": []}
{"role": "student", "content": "okay!", "session_id": 10767, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "Hello", "session_id": 10812, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "How are you", "session_id": 10812, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "Hello. And the", "session_id": 10812, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "It's mic barking", "session_id": 10812, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "uh", "session_id": 10812, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "So this is a text to speak like them. Yeah, I think so.", "session_id": 10812, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "ill just type then", "session_id": 10812, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "Can you hear me?", "session_id": 10812, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 10812, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "Yes", "session_id": 10812, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "OK.", "session_id": 10812, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "It's been showing audio in Dallas to got it.", "session_id": 10812, "sequence_id": 11, "annotations": [{"pii_type": "LOCATION", "surrogate": "Dallas", "start": 27, "end": 33}]}
{"role": "volunteer", "content": "OK", "session_id": 10812, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "I've got more than a lot to do.", "session_id": 10812, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "a lot to do", "session_id": 10812, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "but", "session_id": 10812, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "like.", "session_id": 10812, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "not, I'd like to", "session_id": 10812, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "I'm, I'd like to", "session_id": 10812, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "if um", "session_id": 10812, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "my", "session_id": 10812, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "much more medicine.", "session_id": 10812, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "focus on getting as much work done as I can.", "session_id": 10812, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "OK. So do you want to put the", "session_id": 10812, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "first problem on the board", "session_id": 10812, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "Yeah, give me a little", "session_id": 10812, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "I'll preserve his first time using the site, so it's, it's taking a second.", "session_id": 10812, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "figure out how this thing works.", "session_id": 10812, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "Oh, sure. Sure.", "session_id": 10812, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "I find him", "session_id": 10812, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "The screen share function or", "session_id": 10812, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "no,", "session_id": 10812, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "Um, there is", "session_id": 10812, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "let's see", "session_id": 10812, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "upload", "session_id": 10812, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "you know", "session_id": 10812, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "the", "session_id": 10812, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "where is it", "session_id": 10812, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "maybe I'll accept the", "session_id": 10812, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "yeah.", "session_id": 10812, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "Upload photo", "session_id": 10812, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "uh", "session_id": 10812, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "OK, I'll give me a moment to pull it up.", "session_id": 10812, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "Uh", "session_id": 10812, "sequence_id": 43, "annotations": []}
{"role": "student", "content": "Oh, by the way, can you hear me verbally or can you only deal with the like tax that kind of rates.", "session_id": 10812, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "deal with that like.", "session_id": 10812, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "I'm hearing you a bit, but it's kind of fading in and out.", "session_id": 10812, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "and", "session_id": 10812, "sequence_id": 47, "annotations": []}
{"role": "student", "content": "Alexa", "session_id": 10812, "sequence_id": 48, "annotations": [{"pii_type": "PERSON", "surrogate": "Alexa", "start": 0, "end": 5}]}
{"role": "student", "content": "Christ. Why is this thing go ding every time I", "session_id": 10812, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "Awesome.", "session_id": 10812, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "train", "session_id": 10812, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "you.", "session_id": 10812, "sequence_id": 52, "annotations": []}
{"role": "student", "content": "like message. Also, sorry, it's going to miss train a lot of things basically translations matrix scale for", "session_id": 10812, "sequence_id": 53, "annotations": []}
{"role": "student", "content": "when trying detect", "session_id": 10812, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "kind of", "session_id": 10812, "sequence_id": 55, "annotations": []}
{"role": "student", "content": "translate what I'm saying, the voice.", "session_id": 10812, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "it's like when he's saying boy.", "session_id": 10812, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 10812, "sequence_id": 58, "annotations": []}
{"role": "student", "content": "Mhm", "session_id": 10812, "sequence_id": 59, "annotations": []}
{"role": "student", "content": "Mhm", "session_id": 10812, "sequence_id": 60, "annotations": []}
{"role": "student", "content": "Jesse there no filter", "session_id": 10812, "sequence_id": 61, "annotations": [{"pii_type": "PERSON", "surrogate": "Jesse", "start": 0, "end": 5}]}
{"role": "student", "content": "I, I said jeez.", "session_id": 10812, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "If it's not too long of a problem, you could also just write it on the board.", "session_id": 10812, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "like the equation", "session_id": 10812, "sequence_id": 64, "annotations": []}
{"role": "student", "content": "OK, fine, the first actually pull up the problem. The school sites being a pain in my butt.", "session_id": 10812, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "I gotcha", "session_id": 10812, "sequence_id": 66, "annotations": []}
{"role": "student", "content": "so hard to", "session_id": 10812, "sequence_id": 67, "annotations": []}
{"role": "student", "content": "control pla like", "session_id": 10812, "sequence_id": 68, "annotations": []}
{"role": "student", "content": "Now", "session_id": 10812, "sequence_id": 69, "annotations": []}
{"role": "student", "content": "I put this.", "session_id": 10812, "sequence_id": 70, "annotations": []}
{"role": "student", "content": "OK", "session_id": 10812, "sequence_id": 71, "annotations": []}
{"role": "student", "content": "just the little pans work", "session_id": 10812, "sequence_id": 72, "annotations": []}
{"role": "student", "content": "This thing stopped translating my messages into words.", "session_id": 10812, "sequence_id": 73, "annotations": []}
{"role": "student", "content": "ima mute it for a sec while I find the stuff", "session_id": 10812, "sequence_id": 74, "annotations": []}
{"role": "volunteer", "content": "okay", "session_id": 10812, "sequence_id": 75, "annotations": []}
{"role": "student", "content": "I'm just gonna type them out because this thing clearly doesn't allow me to properly upload the I'm looking for.", "session_id": 10812, "sequence_id": 76, "annotations": []}
{"role": "student", "content": "I.", "session_id": 10812, "sequence_id": 77, "annotations": []}
{"role": "student", "content": "Oh wait, I could just send it as a picture. I mean it's a bit annoying to send a picture", "session_id": 10812, "sequence_id": 78, "annotations": []}
{"role": "student", "content": "I do it.", "session_id": 10812, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "OK, I can see it", "session_id": 10812, "sequence_id": 80, "annotations": []}
{"role": "student", "content": "Give me a minute", "session_id": 10812, "sequence_id": 81, "annotations": []}
{"role": "student", "content": "I'm gonna", "session_id": 10812, "sequence_id": 82, "annotations": []}
{"role": "student", "content": "preserve my", "session_id": 10812, "sequence_id": 83, "annotations": []}
{"role": "student", "content": "right on top of this. I'm try to remove the parts that.", "session_id": 10812, "sequence_id": 84, "annotations": []}
{"role": "student", "content": "aren't needed", "session_id": 10812, "sequence_id": 85, "annotations": []}
{"role": "student", "content": "and same ones are right on top of it.", "session_id": 10812, "sequence_id": 86, "annotations": []}
{"role": "student", "content": "here.", "session_id": 10812, "sequence_id": 87, "annotations": []}
{"role": "student", "content": "interest in taking it pretty much the entire screen.", "session_id": 10812, "sequence_id": 88, "annotations": []}
{"role": "student", "content": "There.", "session_id": 10812, "sequence_id": 89, "annotations": []}
{"role": "student", "content": "where Mike uh", "session_id": 10812, "sequence_id": 90, "annotations": [{"pii_type": "PERSON", "surrogate": "Mike", "start": 6, "end": 10}]}
{"role": "student", "content": "uh", "session_id": 10812, "sequence_id": 91, "annotations": []}
{"role": "student", "content": "trying to", "session_id": 10812, "sequence_id": 92, "annotations": []}
{"role": "student", "content": "it's not", "session_id": 10812, "sequence_id": 93, "annotations": []}
{"role": "student", "content": "us.", "session_id": 10812, "sequence_id": 94, "annotations": []}
{"role": "student", "content": "shapes I heard of about", "session_id": 10812, "sequence_id": 95, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 10812, "sequence_id": 96, "annotations": []}
{"role": "student", "content": "I made a heroes to the ones where I actually meant to be doing.", "session_id": 10812, "sequence_id": 97, "annotations": []}
{"role": "student", "content": "They're the one", "session_id": 10812, "sequence_id": 98, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 10812, "sequence_id": 99, "annotations": []}
{"role": "student", "content": "I do", "session_id": 10812, "sequence_id": 100, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 10812, "sequence_id": 101, "annotations": []}
{"role": "volunteer", "content": "OK, so you want help with that. OK, so the arithmetic sequence, you're gonna go some.", "session_id": 10812, "sequence_id": 102, "annotations": []}
{"role": "volunteer", "content": "and you're adding", "session_id": 10812, "sequence_id": 103, "annotations": []}
{"role": "volunteer", "content": "6 each time, right?", "session_id": 10812, "sequence_id": 104, "annotations": []}
{"role": "volunteer", "content": "So you're gonna say,", "session_id": 10812, "sequence_id": 105, "annotations": []}
{"role": "student", "content": "Which one are you working on", "session_id": 10812, "sequence_id": 106, "annotations": []}
{"role": "volunteer", "content": "and I", "session_id": 10812, "sequence_id": 107, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 10812, "sequence_id": 108, "annotations": []}
{"role": "volunteer", "content": "OK, so this is, oh this even need this, OK.", "session_id": 10812, "sequence_id": 109, "annotations": []}
{"role": "volunteer", "content": "equals", "session_id": 10812, "sequence_id": 110, "annotations": []}
{"role": "volunteer", "content": "just like", "session_id": 10812, "sequence_id": 111, "annotations": []}
{"role": "student", "content": "Remember there's a formula for this, but I can't remember how to use it.", "session_id": 10812, "sequence_id": 112, "annotations": []}
{"role": "volunteer", "content": "so.", "session_id": 10812, "sequence_id": 113, "annotations": []}
{"role": "volunteer", "content": "Yeah, so", "session_id": 10812, "sequence_id": 114, "annotations": []}
{"role": "volunteer", "content": "what, what, why don't you write down the formula because then I can make sure I'm using the same notation.", "session_id": 10812, "sequence_id": 115, "annotations": []}
{"role": "volunteer", "content": "So you can say, so the one, the one I know is when I rewrite it and then you can.", "session_id": 10812, "sequence_id": 116, "annotations": []}
{"role": "volunteer", "content": "So is this the one you were given this formula here?", "session_id": 10812, "sequence_id": 117, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 10812, "sequence_id": 118, "annotations": []}
{"role": "student", "content": "that is it", "session_id": 10812, "sequence_id": 119, "annotations": []}
{"role": "volunteer", "content": "OK. OK, so a is the first term, right? So that's the 11.", "session_id": 10812, "sequence_id": 120, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 10812, "sequence_id": 121, "annotations": []}
{"role": "student", "content": "Uh, much", "session_id": 10812, "sequence_id": 122, "annotations": []}
{"role": "volunteer", "content": "and", "session_id": 10812, "sequence_id": 123, "annotations": []}
{"role": "student", "content": "as you figured out", "session_id": 10812, "sequence_id": 124, "annotations": []}
{"role": "volunteer", "content": "right, so then,", "session_id": 10812, "sequence_id": 125, "annotations": []}
{"role": "volunteer", "content": "we're gonna have to figure out what N is", "session_id": 10812, "sequence_id": 126, "annotations": []}
{"role": "volunteer", "content": "right? That's gonna be the tricky part.", "session_id": 10812, "sequence_id": 127, "annotations": []}
{"role": "volunteer", "content": "and then", "session_id": 10812, "sequence_id": 128, "annotations": []}
{"role": "student", "content": "sex, a offensive.", "session_id": 10812, "sequence_id": 129, "annotations": []}
{"role": "volunteer", "content": "D is going to be 6.", "session_id": 10812, "sequence_id": 130, "annotations": []}
{"role": "student", "content": "Yeah.", "session_id": 10812, "sequence_id": 131, "annotations": []}
{"role": "student", "content": "Ping", "session_id": 10812, "sequence_id": 132, "annotations": []}
{"role": "volunteer", "content": "OK, so what you need to do, because D is the difference, right? D is how much space is it, how much you're adding each time you're", "session_id": 10812, "sequence_id": 133, "annotations": []}
{"role": "volunteer", "content": "you're going over, right", "session_id": 10812, "sequence_id": 134, "annotations": []}
{"role": "student", "content": "and it is", "session_id": 10812, "sequence_id": 135, "annotations": []}
{"role": "student", "content": "the amount of spaces you need to travel a number.", "session_id": 10812, "sequence_id": 136, "annotations": []}
{"role": "student", "content": "Last time I got the", "session_id": 10812, "sequence_id": 137, "annotations": []}
{"role": "student", "content": "here.", "session_id": 10812, "sequence_id": 138, "annotations": []}
{"role": "volunteer", "content": "Do you use the distance, is the, what you're adding each term.", "session_id": 10812, "sequence_id": 139, "annotations": []}
{"role": "volunteer", "content": "right? So 11 to 17 is 6.", "session_id": 10812, "sequence_id": 140, "annotations": []}
{"role": "student", "content": "Last time was 59.", "session_id": 10812, "sequence_id": 141, "annotations": []}
{"role": "student", "content": "around 59", "session_id": 10812, "sequence_id": 142, "annotations": []}
{"role": "volunteer", "content": "N is the number of", "session_id": 10812, "sequence_id": 143, "annotations": []}
{"role": "volunteer", "content": "sorry?", "session_id": 10812, "sequence_id": 144, "annotations": []}
{"role": "student", "content": "last time", "session_id": 10812, "sequence_id": 145, "annotations": []}
{"role": "student", "content": "best", "session_id": 10812, "sequence_id": 146, "annotations": []}
{"role": "student", "content": "I got 59, but I only got wonky after refusing that.", "session_id": 10812, "sequence_id": 147, "annotations": []}
{"role": "student", "content": "and the", "session_id": 10812, "sequence_id": 148, "annotations": []}
{"role": "student", "content": "make sense", "session_id": 10812, "sequence_id": 149, "annotations": []}
{"role": "volunteer", "content": "50, 0, do you get 59 for for and you got 59?", "session_id": 10812, "sequence_id": 150, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 10812, "sequence_id": 151, "annotations": []}
{"role": "student", "content": "Um, and sexy", "session_id": 10812, "sequence_id": 152, "annotations": []}
{"role": "volunteer", "content": "You're getting NS 60", "session_id": 10812, "sequence_id": 153, "annotations": []}
{"role": "student", "content": "like", "session_id": 10812, "sequence_id": 154, "annotations": []}
{"role": "volunteer", "content": "So did you, how did you get the 60?", "session_id": 10812, "sequence_id": 155, "annotations": []}
{"role": "student", "content": "Well, I remembered originally that I got the 59.", "session_id": 10812, "sequence_id": 156, "annotations": []}
{"role": "student", "content": "by minusing the", "session_id": 10812, "sequence_id": 157, "annotations": []}
{"role": "student", "content": "first term", "session_id": 10812, "sequence_id": 158, "annotations": []}
{"role": "student", "content": "I", "session_id": 10812, "sequence_id": 159, "annotations": []}
{"role": "volunteer", "content": "Mhm.", "session_id": 10812, "sequence_id": 160, "annotations": []}
{"role": "volunteer", "content": "Yeah.", "session_id": 10812, "sequence_id": 161, "annotations": []}
{"role": "student", "content": "I think the very last car that we're trying to find minus the first term, which when dividing 5", "session_id": 10812, "sequence_id": 162, "annotations": []}
{"role": "student", "content": "the like Mount Forgiven, which Day 59, and I was like, OK, um, I probably with some sort of take care and just kind of want and so or.", "session_id": 10812, "sequence_id": 163, "annotations": []}
{"role": "volunteer", "content": "I'm sorry, I didn't, it's, it's hard to hear for some reason.", "session_id": 10812, "sequence_id": 164, "annotations": []}
{"role": "student", "content": "Mhm", "session_id": 10812, "sequence_id": 165, "annotations": []}
{"role": "student", "content": "Yeah.", "session_id": 10812, "sequence_id": 166, "annotations": []}
{"role": "volunteer", "content": "Um, so you took 365 minus the 11.", "session_id": 10812, "sequence_id": 167, "annotations": []}
{"role": "student", "content": "I'll just type it out real quick.", "session_id": 10812, "sequence_id": 168, "annotations": []}
{"role": "volunteer", "content": "OK, I don't know why the microphone's not working well.", "session_id": 10812, "sequence_id": 169, "annotations": []}
{"role": "student", "content": "(365-11)/6", "session_id": 10812, "sequence_id": 170, "annotations": []}
{"role": "student", "content": "apparenly I was meant to use 60 I forgot to account for the fact I was starting at 1 not 0", "session_id": 10812, "sequence_id": 171, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 10812, "sequence_id": 172, "annotations": []}
{"role": "student", "content": "anyways with the formula 11+(60-1)6 how do I find the sum?", "session_id": 10812, "sequence_id": 173, "annotations": []}
{"role": "volunteer", "content": "let me write it out", "session_id": 10812, "sequence_id": 174, "annotations": []}
{"role": "volunteer", "content": "have you learned the formula for the summation", "session_id": 10812, "sequence_id": 175, "annotations": []}
{"role": "student", "content": "Whats that?", "session_id": 10812, "sequence_id": 176, "annotations": []}
{"role": "volunteer", "content": "have you learned that equation yet", "session_id": 10812, "sequence_id": 177, "annotations": []}
{"role": "student", "content": "Sorta reconginize it but how do I find n", "session_id": 10812, "sequence_id": 178, "annotations": []}
{"role": "student", "content": "ah", "session_id": 10812, "sequence_id": 179, "annotations": []}
{"role": "student", "content": "the previous formula", "session_id": 10812, "sequence_id": 180, "annotations": []}
{"role": "volunteer", "content": "it's the first and last term", "session_id": 10812, "sequence_id": 181, "annotations": []}
{"role": "student", "content": "lemme plug the stuff in", "session_id": 10812, "sequence_id": 182, "annotations": []}
{"role": "student", "content": "is the sum 11280?", "session_id": 10812, "sequence_id": 183, "annotations": []}
{"role": "volunteer", "content": "that's what I get", "session_id": 10812, "sequence_id": 184, "annotations": []}
{"role": "student", "content": "Well on to the next one", "session_id": 10812, "sequence_id": 185, "annotations": []}
{"role": "volunteer", "content": "so number 4?", "session_id": 10812, "sequence_id": 186, "annotations": []}
{"role": "student", "content": "ya", "session_id": 10812, "sequence_id": 187, "annotations": []}
{"role": "volunteer", "content": "that is is geometric series and you want the infinite sum", "session_id": 10812, "sequence_id": 188, "annotations": []}
{"role": "volunteer", "content": "let me write the formula for that one", "session_id": 10812, "sequence_id": 189, "annotations": []}
{"role": "volunteer", "content": "did you learn this formula", "session_id": 10812, "sequence_id": 190, "annotations": []}
{"role": "student", "content": "once again seems fimilar but I struggle to remember them", "session_id": 10812, "sequence_id": 191, "annotations": []}
{"role": "volunteer", "content": "that's fine", "session_id": 10812, "sequence_id": 192, "annotations": []}
{"role": "volunteer", "content": "the a is the first term and the r is the ratio between terms", "session_id": 10812, "sequence_id": 193, "annotations": []}
{"role": "volunteer", "content": "in other words r is what you need to multiply a term by to get the next one", "session_id": 10812, "sequence_id": 194, "annotations": []}
{"role": "student", "content": "a = -1.6?", "session_id": 10812, "sequence_id": 195, "annotations": []}
{"role": "volunteer", "content": "for number 4 it is 2", "session_id": 10812, "sequence_id": 196, "annotations": []}
{"role": "student", "content": "actually no", "session_id": 10812, "sequence_id": 197, "annotations": []}
{"role": "student", "content": "oh wait was I was talking about r derp", "session_id": 10812, "sequence_id": 198, "annotations": []}
{"role": "student", "content": "R=-0.4?", "session_id": 10812, "sequence_id": 199, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 10812, "sequence_id": 200, "annotations": []}
{"role": "volunteer", "content": "now you can just plug those into the formula", "session_id": 10812, "sequence_id": 201, "annotations": []}
{"role": "student", "content": "so S = 1 amd 3/7", "session_id": 10812, "sequence_id": 202, "annotations": []}
{"role": "student", "content": "1 3/7", "session_id": 10812, "sequence_id": 203, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 10812, "sequence_id": 204, "annotations": []}
{"role": "student", "content": "now then for 5.", "session_id": 10812, "sequence_id": 205, "annotations": []}
{"role": "student", "content": "same formula differemt numbers?", "session_id": 10812, "sequence_id": 206, "annotations": []}
{"role": "volunteer", "content": "hmmm I don't remember this too well", "session_id": 10812, "sequence_id": 207, "annotations": []}
{"role": "volunteer", "content": "give me aminute", "session_id": 10812, "sequence_id": 208, "annotations": []}
{"role": "volunteer", "content": "this is not in my book", "session_id": 10812, "sequence_id": 209, "annotations": []}
{"role": "volunteer", "content": "I'm sorry", "session_id": 10812, "sequence_id": 210, "annotations": []}
{"role": "volunteer", "content": "maybe you should try another tutor", "session_id": 10812, "sequence_id": 211, "annotations": []}
{"role": "volunteer", "content": "sorry about that", "session_id": 10812, "sequence_id": 212, "annotations": []}
{"role": "student", "content": "its fine lets just continue on to 6", "session_id": 10812, "sequence_id": 213, "annotations": []}
{"role": "volunteer", "content": "sur", "session_id": 10812, "sequence_id": 214, "annotations": []}
{"role": "volunteer", "content": "I just found it", "session_id": 10812, "sequence_id": 215, "annotations": []}
{"role": "student", "content": "5 or 6?", "session_id": 10812, "sequence_id": 216, "annotations": []}
{"role": "volunteer", "content": "I was looking at 6 I just skipped over 5", "session_id": 10812, "sequence_id": 217, "annotations": []}
{"role": "student", "content": "ah well then how do I do 5?", "session_id": 10812, "sequence_id": 218, "annotations": []}
{"role": "volunteer", "content": "first you want to find out if it is arithmetic or geometric", "session_id": 10812, "sequence_id": 219, "annotations": []}
{"role": "student", "content": "seems a bit uh weird to be arithmetic so prob geo", "session_id": 10812, "sequence_id": 220, "annotations": []}
{"role": "volunteer", "content": "to check you want to divide two the terms and do it twice to make sure they are the same ratio", "session_id": 10812, "sequence_id": 221, "annotations": []}
{"role": "student", "content": "kk", "session_id": 10812, "sequence_id": 222, "annotations": []}
{"role": "student", "content": "I checked r is 0.6", "session_id": 10812, "sequence_id": 223, "annotations": []}
{"role": "volunteer", "content": "then you can use the same formula as before", "session_id": 10812, "sequence_id": 224, "annotations": []}
{"role": "student", "content": "S=100", "session_id": 10812, "sequence_id": 225, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 10812, "sequence_id": 226, "annotations": []}
{"role": "student", "content": "and now 6.", "session_id": 10812, "sequence_id": 227, "annotations": []}
{"role": "volunteer", "content": "you want to multiply the number by 100", "session_id": 10812, "sequence_id": 228, "annotations": []}
{"role": "student", "content": "oh thats it?", "session_id": 10812, "sequence_id": 229, "annotations": []}
{"role": "volunteer", "content": "let me show you the method", "session_id": 10812, "sequence_id": 230, "annotations": []}
{"role": "student", "content": "a is 52/100?", "session_id": 10812, "sequence_id": 231, "annotations": []}
{"role": "volunteer", "content": "if you subtract x by 100x the decimals will all cancel out", "session_id": 10812, "sequence_id": 232, "annotations": []}
{"role": "volunteer", "content": "do you see that?", "session_id": 10812, "sequence_id": 233, "annotations": []}
{"role": "student", "content": "yes But how would this be typed out", "session_id": 10812, "sequence_id": 234, "annotations": []}
{"role": "student", "content": "as a fraction", "session_id": 10812, "sequence_id": 235, "annotations": []}
{"role": "volunteer", "content": "you can just solve for x in the equation x=52/99", "session_id": 10812, "sequence_id": 236, "annotations": []}
{"role": "volunteer", "content": "does that technique make sense", "session_id": 10812, "sequence_id": 237, "annotations": []}
{"role": "student", "content": "yep", "session_id": 10812, "sequence_id": 238, "annotations": []}
{"role": "student", "content": "so its written as 52/99?", "session_id": 10812, "sequence_id": 239, "annotations": []}
{"role": "volunteer", "content": "yup", "session_id": 10812, "sequence_id": 240, "annotations": []}
{"role": "student", "content": "kk", "session_id": 10812, "sequence_id": 241, "annotations": []}
{"role": "student", "content": "the other should be the same?", "session_id": 10812, "sequence_id": 242, "annotations": []}
{"role": "volunteer", "content": "the 4 is not repeating", "session_id": 10812, "sequence_id": 243, "annotations": []}
{"role": "student", "content": "so how do i account for that?", "session_id": 10812, "sequence_id": 244, "annotations": []}
{"role": "volunteer", "content": "break it up into .4 + .05353", "session_id": 10812, "sequence_id": 245, "annotations": []}
{"role": "volunteer", "content": "and then you multiply the second part by 100", "session_id": 10812, "sequence_id": 246, "annotations": []}
{"role": "student", "content": "and what is timed by 10?", "session_id": 10812, "sequence_id": 247, "annotations": []}
{"role": "student", "content": "huh?", "session_id": 10812, "sequence_id": 248, "annotations": []}
{"role": "volunteer", "content": "sorry my bad", "session_id": 10812, "sequence_id": 249, "annotations": []}
{"role": "student", "content": "just 99?", "session_id": 10812, "sequence_id": 250, "annotations": []}
{"role": "student", "content": "what is the second part by then?", "session_id": 10812, "sequence_id": 251, "annotations": []}
{"role": "volunteer", "content": "let me look at this for a minute", "session_id": 10812, "sequence_id": 252, "annotations": []}
{"role": "volunteer", "content": "if x=.453... then you want to first want to multiply by 10 to move to to the first decimal", "session_id": 10812, "sequence_id": 253, "annotations": []}
{"role": "volunteer", "content": "then apply the technique to .53...", "session_id": 10812, "sequence_id": 254, "annotations": []}
{"role": "student", "content": "and do 0.4 seperate?", "session_id": 10812, "sequence_id": 255, "annotations": []}
{"role": "volunteer", "content": ".4 is 2/5", "session_id": 10812, "sequence_id": 256, "annotations": []}
{"role": "volunteer", "content": "and .053 turns out to be 53/990", "session_id": 10812, "sequence_id": 257, "annotations": []}
{"role": "volunteer", "content": "then you can find a common denominator and add them", "session_id": 10812, "sequence_id": 258, "annotations": []}
{"role": "student", "content": "kk", "session_id": 10812, "sequence_id": 259, "annotations": []}
{"role": "student", "content": "990?", "session_id": 10812, "sequence_id": 260, "annotations": []}
{"role": "student", "content": "to turn 5 to fraction", "session_id": 10812, "sequence_id": 261, "annotations": []}
{"role": "volunteer", "content": "yup", "session_id": 10812, "sequence_id": 262, "annotations": []}
{"role": "student", "content": "449/990?", "session_id": 10812, "sequence_id": 263, "annotations": []}
{"role": "volunteer", "content": "I'm getting 251/990 let me double check", "session_id": 10812, "sequence_id": 264, "annotations": []}
{"role": "volunteer", "content": "you are right", "session_id": 10812, "sequence_id": 265, "annotations": []}
{"role": "student", "content": "well uh have a good day (:", "session_id": 10812, "sequence_id": 266, "annotations": []}
{"role": "volunteer", "content": "you too", "session_id": 10812, "sequence_id": 267, "annotations": []}
{"role": "volunteer", "content": "Hello", "session_id": 10853, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "hello!", "session_id": 10853, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "can u help me with my hw", "session_id": 10853, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "i have like 7 frqs", "session_id": 10853, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "for unit 8 calc ab", "session_id": 10853, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "i did a couple but im not sure if theyre right", "session_id": 10853, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "I can help in some", "session_id": 10853, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "Sorry, I am not sure what the problem is or what you are doing.", "session_id": 10853, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "oh oops", "session_id": 10853, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "im supposed to solve for the volume of the tank", "session_id": 10853, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "using the givens", "session_id": 10853, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "y=9/625 x^4 from x=0 to x=5", "session_id": 10853, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "what does the 8 cubic feet per minute have to do with it?", "session_id": 10853, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "im not too sure", "session_id": 10853, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "i dont think its relevant", "session_id": 10853, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "but it was just given", "session_id": 10853, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "its a revolution around the curve question", "session_id": 10853, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "so i think i just ues the disk method?", "session_id": 10853, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "do you have an image of the problem?", "session_id": 10853, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "oh yes", "session_id": 10853, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "wait let me see how to get an image", "session_id": 10853, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "You can use the disk method.", "session_id": 10853, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "ohh alright", "session_id": 10853, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "or shells", "session_id": 10853, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "oh i haven't learned that one in class yet", "session_id": 10853, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "is my work correct? or no", "session_id": 10853, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "what are the limits on your integral?", "session_id": 10853, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "0 and 9", "session_id": 10853, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "since its from 0 to 9 feet on  the y", "session_id": 10853, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "or is it supposed to be 0 to 10 on the x axis", "session_id": 10853, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "or neither", "session_id": 10853, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "need to square the integrand", "session_id": 10853, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "oh oops", "session_id": 10853, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "i did that on my paper", "session_id": 10853, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "it went from ((625/9 y)^1/4)^2 to (625/9 y)^1/2", "session_id": 10853, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "which is 25/3 *\u221ay", "session_id": 10853, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "wait wha", "session_id": 10853, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "ohh", "session_id": 10853, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "oops", "session_id": 10853, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "does the answer change if i leave it like that", "session_id": 10853, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "What do you mean?", "session_id": 10853, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "if i leave it in this form instead of simplifying", "session_id": 10853, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "cause i did square it but i didnt simplify on my paper", "session_id": 10853, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "i just forgot to write down that part of my scratchwork", "session_id": 10853, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "It wouldn't change the answer, since the \u221a(625/9)  =25/3, right?", "session_id": 10853, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "oh yeah", "session_id": 10853, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "alright ty", "session_id": 10853, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "wait so the rest of it is good?", "session_id": 10853, "sequence_id": 47, "annotations": []}
{"role": "student", "content": "or are the bounds wrong or something", "session_id": 10853, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "II guess it's ok", "session_id": 10853, "sequence_id": 49, "annotations": []}
{"role": "student", "content": "alright Ava!", "session_id": 10853, "sequence_id": 50, "annotations": [{"pii_type": "PERSON", "surrogate": "Ava", "start": 8, "end": 11}]}
{"role": "volunteer", "content": "are you all set then?", "session_id": 10853, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "uhhh", "session_id": 10853, "sequence_id": 52, "annotations": []}
{"role": "student", "content": "i have a couple more problems", "session_id": 10853, "sequence_id": 53, "annotations": []}
{"role": "student", "content": "sorry", "session_id": 10853, "sequence_id": 54, "annotations": []}
{"role": "student", "content": "i didn't know what to do for this problem at all", "session_id": 10853, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "where is part b?", "session_id": 10853, "sequence_id": 56, "annotations": []}
{"role": "student", "content": "i dont know", "session_id": 10853, "sequence_id": 57, "annotations": []}
{"role": "student", "content": "there wasn't any other problem like it", "session_id": 10853, "sequence_id": 58, "annotations": []}
{"role": "student", "content": "so i think my teacher just made a mistake in assigning that question", "session_id": 10853, "sequence_id": 59, "annotations": []}
{"role": "student", "content": "just wanted to make sure htough", "session_id": 10853, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "They are probably talking about the region between that curve and the chord", "session_id": 10853, "sequence_id": 61, "annotations": []}
{"role": "student", "content": "oh", "session_id": 10853, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "what is the equation of the line connecting those two points?", "session_id": 10853, "sequence_id": 63, "annotations": []}
{"role": "student", "content": "uhmmm", "session_id": 10853, "sequence_id": 64, "annotations": []}
{"role": "student", "content": "do i graph that", "session_id": 10853, "sequence_id": 65, "annotations": []}
{"role": "student", "content": "oh wait nvm", "session_id": 10853, "sequence_id": 66, "annotations": []}
{"role": "student", "content": "y=-1/2x +2", "session_id": 10853, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "Not quite.", "session_id": 10853, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "what is the slope?", "session_id": 10853, "sequence_id": 69, "annotations": []}
{"role": "student", "content": "-1/2?", "session_id": 10853, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "No", "session_id": 10853, "sequence_id": 71, "annotations": []}
{"role": "student", "content": "waitwhat", "session_id": 10853, "sequence_id": 72, "annotations": []}
{"role": "student", "content": "OH oops", "session_id": 10853, "sequence_id": 73, "annotations": []}
{"role": "student", "content": "my bad", "session_id": 10853, "sequence_id": 74, "annotations": []}
{"role": "student", "content": "do i just do equation for area between 2 curves", "session_id": 10853, "sequence_id": 75, "annotations": []}
{"role": "student", "content": "with the bounds being the intersections", "session_id": 10853, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "For this you need to use the washer method", "session_id": 10853, "sequence_id": 77, "annotations": []}
{"role": "student", "content": "oh alright", "session_id": 10853, "sequence_id": 78, "annotations": []}
{"role": "student", "content": "wait why not just the area between two curves?", "session_id": 10853, "sequence_id": 79, "annotations": []}
{"role": "student", "content": "nvm it said volume i see", "session_id": 10853, "sequence_id": 80, "annotations": []}
{"role": "volunteer", "content": "This is a volume of revolution question", "session_id": 10853, "sequence_id": 81, "annotations": []}
{"role": "student", "content": "alright", "session_id": 10853, "sequence_id": 82, "annotations": []}
{"role": "volunteer", "content": "are you famiiar with the washer method?", "session_id": 10853, "sequence_id": 83, "annotations": []}
{"role": "student", "content": "yes", "session_id": 10853, "sequence_id": 84, "annotations": []}
{"role": "student", "content": "are the bounds still the intersections", "session_id": 10853, "sequence_id": 85, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 10853, "sequence_id": 86, "annotations": []}
{"role": "volunteer", "content": "that should do it", "session_id": 10853, "sequence_id": 87, "annotations": []}
{"role": "student", "content": "ohh alright thanks", "session_id": 10853, "sequence_id": 88, "annotations": []}
{"role": "volunteer", "content": "you are welcome", "session_id": 10853, "sequence_id": 89, "annotations": []}
{"role": "volunteer", "content": "You said you had one more problem, right?", "session_id": 10853, "sequence_id": 90, "annotations": []}
{"role": "student", "content": "a couple more than that..", "session_id": 10853, "sequence_id": 91, "annotations": []}
{"role": "student", "content": "sorryr", "session_id": 10853, "sequence_id": 92, "annotations": []}
{"role": "student", "content": "you can leave if you want to", "session_id": 10853, "sequence_id": 93, "annotations": []}
{"role": "volunteer", "content": "I have time for one more.", "session_id": 10853, "sequence_id": 94, "annotations": []}
{"role": "student", "content": "ohhh Noah", "session_id": 10853, "sequence_id": 95, "annotations": [{"pii_type": "PERSON", "surrogate": "Noah", "start": 5, "end": 9}]}
{"role": "student", "content": "this is kind of a long one..", "session_id": 10853, "sequence_id": 96, "annotations": []}
{"role": "student", "content": "is part b just -6/pi..?", "session_id": 10853, "sequence_id": 97, "annotations": []}
{"role": "student", "content": "that doesnt seem right", "session_id": 10853, "sequence_id": 98, "annotations": []}
{"role": "volunteer", "content": "It is not correct", "session_id": 10853, "sequence_id": 99, "annotations": []}
{"role": "student", "content": "how would i solve it?", "session_id": 10853, "sequence_id": 100, "annotations": []}
{"role": "volunteer", "content": "They are asking for the tangent line to the curve f(x) =3cos(x)", "session_id": 10853, "sequence_id": 101, "annotations": []}
{"role": "student", "content": "ohhh", "session_id": 10853, "sequence_id": 102, "annotations": []}
{"role": "student", "content": "so -3sin(x)?", "session_id": 10853, "sequence_id": 103, "annotations": []}
{"role": "student", "content": "or do i write in point slope form", "session_id": 10853, "sequence_id": 104, "annotations": []}
{"role": "volunteer", "content": "the line you drew is the chord connecting P and Q, not the tangent of f at Q", "session_id": 10853, "sequence_id": 105, "annotations": []}
{"role": "student", "content": "ah", "session_id": 10853, "sequence_id": 106, "annotations": []}
{"role": "volunteer", "content": "Do you know how to write the equation of a tangent line?", "session_id": 10853, "sequence_id": 107, "annotations": []}
{"role": "student", "content": "d/dx f(x)?", "session_id": 10853, "sequence_id": 108, "annotations": []}
{"role": "student", "content": "or y-y1=m(x-x1)", "session_id": 10853, "sequence_id": 109, "annotations": []}
{"role": "student", "content": "where m is the slope", "session_id": 10853, "sequence_id": 110, "annotations": []}
{"role": "volunteer", "content": "yes, you the point slope form,", "session_id": 10853, "sequence_id": 111, "annotations": []}
{"role": "student", "content": "ohh okok", "session_id": 10853, "sequence_id": 112, "annotations": []}
{"role": "student", "content": "is this right", "session_id": 10853, "sequence_id": 113, "annotations": []}
{"role": "volunteer", "content": "not quite.", "session_id": 10853, "sequence_id": 114, "annotations": []}
{"role": "student", "content": "huh", "session_id": 10853, "sequence_id": 115, "annotations": []}
{"role": "volunteer", "content": "what is the slope of the tangent line?", "session_id": 10853, "sequence_id": 116, "annotations": []}
{"role": "student", "content": "-3sin(x)?", "session_id": 10853, "sequence_id": 117, "annotations": []}
{"role": "student", "content": "sincei ts the derivative of 3cosx", "session_id": 10853, "sequence_id": 118, "annotations": []}
{"role": "student", "content": "right", "session_id": 10853, "sequence_id": 119, "annotations": []}
{"role": "volunteer", "content": "That tangent line must have a definite slope, right?", "session_id": 10853, "sequence_id": 120, "annotations": []}
{"role": "student", "content": "what do u mean?", "session_id": 10853, "sequence_id": 121, "annotations": []}
{"role": "student", "content": "ohh", "session_id": 10853, "sequence_id": 122, "annotations": []}
{"role": "volunteer", "content": "I drew the tangent line. What is its slope. It's slope is not a function, it is a number", "session_id": 10853, "sequence_id": 123, "annotations": []}
{"role": "student", "content": "oh", "session_id": 10853, "sequence_id": 124, "annotations": []}
{"role": "student", "content": "wait i thought the tan was derivative of the original function though", "session_id": 10853, "sequence_id": 125, "annotations": []}
{"role": "student", "content": "is it not", "session_id": 10853, "sequence_id": 126, "annotations": []}
{"role": "volunteer", "content": "you to find the slope of a curve at a  point a, you evaluate the derivative of the function at point a", "session_id": 10853, "sequence_id": 127, "annotations": []}
{"role": "student", "content": "oh", "session_id": 10853, "sequence_id": 128, "annotations": []}
{"role": "student", "content": "so would i just plug the original function into point slope with the coordinates of Q?", "session_id": 10853, "sequence_id": 129, "annotations": []}
{"role": "student", "content": "and then find the derivative of that", "session_id": 10853, "sequence_id": 130, "annotations": []}
{"role": "student", "content": "or what", "session_id": 10853, "sequence_id": 131, "annotations": []}
{"role": "volunteer", "content": "If the derivative is -3 sin(x)), then you find the slope of the tangent line at x =\ud835\udf0b/2 by plugging in \ud835\udf0b/2 into the equation of the derivative", "session_id": 10853, "sequence_id": 132, "annotations": []}
{"role": "student", "content": "ohhhh", "session_id": 10853, "sequence_id": 133, "annotations": []}
{"role": "volunteer", "content": "Derivative = Slope, derivative =slope,derivative =slope", "session_id": 10853, "sequence_id": 134, "annotations": []}
{"role": "student", "content": "oohhh alright", "session_id": 10853, "sequence_id": 135, "annotations": []}
{"role": "student", "content": "so this?", "session_id": 10853, "sequence_id": 136, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 10853, "sequence_id": 137, "annotations": []}
{"role": "student", "content": "or do i have to distribute too", "session_id": 10853, "sequence_id": 138, "annotations": []}
{"role": "student", "content": "ohh alright Sophia", "session_id": 10853, "sequence_id": 139, "annotations": [{"pii_type": "PERSON", "surrogate": "Sophia", "start": 12, "end": 18}]}
{"role": "student", "content": "how would i do c?", "session_id": 10853, "sequence_id": 140, "annotations": []}
{"role": "volunteer", "content": "what is the slope of the line PQ?", "session_id": 10853, "sequence_id": 141, "annotations": []}
{"role": "student", "content": "-6/pi x", "session_id": 10853, "sequence_id": 142, "annotations": []}
{"role": "volunteer", "content": "Yes.", "session_id": 10853, "sequence_id": 143, "annotations": []}
{"role": "volunteer", "content": "and the slopes of all tangent lines of f can be find using the derivative of f", "session_id": 10853, "sequence_id": 144, "annotations": []}
{"role": "student", "content": "so y=-6/pi x +3 and y=-3sinx", "session_id": 10853, "sequence_id": 145, "annotations": []}
{"role": "student", "content": "but then what would i do to find the parallel point?", "session_id": 10853, "sequence_id": 146, "annotations": []}
{"role": "student", "content": "ohhhh", "session_id": 10853, "sequence_id": 147, "annotations": []}
{"role": "volunteer", "content": "YEs", "session_id": 10853, "sequence_id": 148, "annotations": []}
{"role": "student", "content": "ohhh Liam!", "session_id": 10853, "sequence_id": 149, "annotations": [{"pii_type": "PERSON", "surrogate": "Liam", "start": 5, "end": 9}]}
{"role": "volunteer", "content": "you are welcome", "session_id": 10853, "sequence_id": 150, "annotations": []}
{"role": "student", "content": "and the last one is just washer method?", "session_id": 10853, "sequence_id": 151, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 10853, "sequence_id": 152, "annotations": []}
{"role": "student", "content": "is that equation right", "session_id": 10853, "sequence_id": 153, "annotations": []}
{"role": "volunteer", "content": "Yes, that makes sense to me.", "session_id": 10853, "sequence_id": 154, "annotations": []}
{"role": "student", "content": "ohh Mia!!", "session_id": 10853, "sequence_id": 155, "annotations": [{"pii_type": "PERSON", "surrogate": "Mia", "start": 4, "end": 7}]}
{"role": "volunteer", "content": "You are very welcome", "session_id": 10853, "sequence_id": 156, "annotations": []}
{"role": "student", "content": "thanks and bye!!", "session_id": 10853, "sequence_id": 157, "annotations": []}
{"role": "volunteer", "content": "Have a good week!", "session_id": 10853, "sequence_id": 158, "annotations": []}
{"role": "volunteer", "content": "Bye", "session_id": 10853, "sequence_id": 159, "annotations": []}
{"role": "student", "content": "James!", "session_id": 10853, "sequence_id": 160, "annotations": [{"pii_type": "PERSON", "surrogate": "James", "start": 0, "end": 5}]}
{"role": "volunteer", "content": "Hi Olivia", "session_id": 10912, "sequence_id": 0, "annotations": [{"pii_type": "PERSON", "surrogate": "Olivia", "start": 3, "end": 9}]}
{"role": "student", "content": "Hi!", "session_id": 10912, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "I need help with one question today. I'll upload it on the board.", "session_id": 10912, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 10912, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "alirght", "session_id": 10912, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "what have you tried so far?", "session_id": 10912, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "Nothing much", "session_id": 10912, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "don't know how to approach this problem", "session_id": 10912, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "no problem", "session_id": 10912, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "we know the measure of two angles: 3x and 5x", "session_id": 10912, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "we need to connect these two angles", "session_id": 10912, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "can you find a angle that connects angle ABC and CDE?", "session_id": 10912, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "bcd?", "session_id": 10912, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "exactly", "session_id": 10912, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "what's the relationship between BCD and ABC?", "session_id": 10912, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "they both are 3x degrees?", "session_id": 10912, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "yes. can you tell me why?", "session_id": 10912, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "because ab and cd are parallel", "session_id": 10912, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "yes. and ABC and BCD are alternate interior angles", "session_id": 10912, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "now what's the relationship between BCD and CDE?", "session_id": 10912, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "5x is the exterior angle of bcd?", "session_id": 10912, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "they are same side interior angles", "session_id": 10912, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "what does that mean?", "session_id": 10912, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "they add up 180 degrees.", "session_id": 10912, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "oh ok", "session_id": 10912, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "we can then set up an equation and solve for x", "session_id": 10912, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "ok", "session_id": 10912, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "can you try to do it on the board?", "session_id": 10912, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "3x + 5x = 180", "session_id": 10912, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 10912, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "what's x?", "session_id": 10912, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "you got it!", "session_id": 10912, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "well done", "session_id": 10912, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "any more problem?", "session_id": 10912, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "no thats it for today", "session_id": 10912, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "Thank you!", "session_id": 10912, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "you are very welcome.", "session_id": 10912, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "bye", "session_id": 10912, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "Hey how are you doing", "session_id": 10927, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "good, how are you", "session_id": 10927, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "I am doing great", "session_id": 10927, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "how can I help you today?", "session_id": 10927, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "how do i change a negative decimal to a fraction", "session_id": 10927, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "well I am glad you asked, it is a relatively simple topic. DO you have any specific questions related to this topic?", "session_id": 10927, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "no", "session_id": 10927, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "Liam", "session_id": 10927, "sequence_id": 7, "annotations": [{"pii_type": "PERSON", "surrogate": "Liam", "start": 0, "end": 4}]}
{"role": "volunteer", "content": "so you want to convert the above decimal to a fraction right", "session_id": 10927, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "what do you think is the first step to do so?", "session_id": 10927, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "make it a denominator with 1", "session_id": 10927, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "great", "session_id": 10927, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "could you do that please", "session_id": 10927, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "awsome!!", "session_id": 10927, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "what do you think the next step is?", "session_id": 10927, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "idk", "session_id": 10927, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "no worries!! it is all good", "session_id": 10927, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "so is there any greatest common divisor for this number?", "session_id": 10927, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "1?", "session_id": 10927, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "other than that", "session_id": 10927, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "2", "session_id": 10927, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "mhm... so you think this fraction is a perfect divisor of 2?", "session_id": 10927, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "i don't know, im new to this", "session_id": 10927, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "it is all good", "session_id": 10927, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "so, do you know what a greatest common divisor is?", "session_id": 10927, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "not really", "session_id": 10927, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "alright, so a greatest common divisor is any number that is the largest possible number that can perfectly divide -2.213 in this case", "session_id": 10927, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "and by perfectly divide I mean there shouldn't be a remainder", "session_id": 10927, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "can i make tthe -2.213 a whole number so its easier fro me", "session_id": 10927, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "yes, how could you do that?", "session_id": 10927, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "that is the right approach!!", "session_id": 10927, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "flip the fraction", "session_id": 10927, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "mhm... could you explain how that would work out?", "session_id": 10927, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "1 would be the numerator and the -2.213 would be the denominator", "session_id": 10927, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "yes I got that, but could you explain how that would help solve the question?", "session_id": 10927, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "it wouldn't, i just realized", "session_id": 10927, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "it's completely fine even if it is a wrong answer... I am here to help you", "session_id": 10927, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "ok, so now you've realized that it wouldn", "session_id": 10927, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "wouldn't work*", "session_id": 10927, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "would rounding work?", "session_id": 10927, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "mhm... not quite", "session_id": 10927, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "because rounding it would make it a completely different number", "session_id": 10927, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "im very confused", "session_id": 10927, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "but let me let you in on a little information, -2.213 does not have a perfect multiple of any number... But there is another way you could approach this problem", "session_id": 10927, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "ok, so let us start with something simple in that case", "session_id": 10927, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "could you convert -8 into a fraction?", "session_id": 10927, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "find how many decimals are in the number?", "session_id": 10927, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "that is a part of the step!! you got this!!1", "session_id": 10927, "sequence_id": 47, "annotations": []}
{"role": "student", "content": "3", "session_id": 10927, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "but before we get back to the original question, could you convert -8 to a fraction", "session_id": 10927, "sequence_id": 49, "annotations": []}
{"role": "student", "content": "-8/1", "session_id": 10927, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "that is one way!! you got it!!", "session_id": 10927, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "you could also represent it another way", "session_id": 10927, "sequence_id": 52, "annotations": []}
{"role": "student", "content": "-80/10", "session_id": 10927, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "see!!! you are getting it!!! amazing work!", "session_id": 10927, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "now, what did you do to make it -80/10?", "session_id": 10927, "sequence_id": 55, "annotations": []}
{"role": "student", "content": "multiplied it by 10", "session_id": 10927, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "correct!!!", "session_id": 10927, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "now that means you could also try the same approach for your original question", "session_id": 10927, "sequence_id": 58, "annotations": []}
{"role": "student", "content": "done", "session_id": 10927, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "so what is the final answer?", "session_id": 10927, "sequence_id": 60, "annotations": []}
{"role": "student", "content": "-2/1000", "session_id": 10927, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "hmmm, you are very close... you got the denominator right", "session_id": 10927, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "the numerator is a little bit off", "session_id": 10927, "sequence_id": 63, "annotations": []}
{"role": "student", "content": "idk", "session_id": 10927, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "ok, let us back up a bit...", "session_id": 10927, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "so could you divide -2/1000 and see what you get?", "session_id": 10927, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "please feel free to use a calculator", "session_id": 10927, "sequence_id": 67, "annotations": []}
{"role": "student", "content": "-0.002", "session_id": 10927, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "is that equal to the original number?", "session_id": 10927, "sequence_id": 69, "annotations": []}
{"role": "student", "content": "no", "session_id": 10927, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "mhmm... then where could you have gone wrong?", "session_id": 10927, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "try to think, you got this!!", "session_id": 10927, "sequence_id": 72, "annotations": []}
{"role": "student", "content": "too much 0's?", "session_id": 10927, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "no, as I said your denominator is correct 1000", "session_id": 10927, "sequence_id": 74, "annotations": []}
{"role": "volunteer", "content": "the problem is with your numerator", "session_id": 10927, "sequence_id": 75, "annotations": []}
{"role": "student", "content": "idk", "session_id": 10927, "sequence_id": 76, "annotations": []}
{"role": "student", "content": "im dumbofunded", "session_id": 10927, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "you're good...", "session_id": 10927, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "so, what did you do in the -80/10 example", "session_id": 10927, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "you said you multiplied by 10", "session_id": 10927, "sequence_id": 80, "annotations": []}
{"role": "student", "content": "multiplied by 10", "session_id": 10927, "sequence_id": 81, "annotations": []}
{"role": "volunteer", "content": "yes!", "session_id": 10927, "sequence_id": 82, "annotations": []}
{"role": "volunteer", "content": "so, did you multiply only in the denominator, numerator or in both?", "session_id": 10927, "sequence_id": 83, "annotations": []}
{"role": "student", "content": "only the denominator", "session_id": 10927, "sequence_id": 84, "annotations": []}
{"role": "volunteer", "content": "Are you sure?", "session_id": 10927, "sequence_id": 85, "annotations": []}
{"role": "student", "content": "was it -2.21/1000", "session_id": 10927, "sequence_id": 86, "annotations": []}
{"role": "volunteer", "content": "nice try!", "session_id": 10927, "sequence_id": 87, "annotations": []}
{"role": "student", "content": "is it -2 213/1000?", "session_id": 10927, "sequence_id": 88, "annotations": []}
{"role": "volunteer", "content": "yes you are right", "session_id": 10927, "sequence_id": 89, "annotations": []}
{"role": "student", "content": "finally", "session_id": 10927, "sequence_id": 90, "annotations": []}
{"role": "volunteer", "content": "all you had to do was multiply both the numerator and denominator exactly", "session_id": 10927, "sequence_id": 91, "annotations": []}
{"role": "student", "content": "Jamie", "session_id": 11180, "sequence_id": 0, "annotations": [{"pii_type": "PERSON", "surrogate": "Jamie", "start": 0, "end": 5}]}
{"role": "volunteer", "content": "Hi! Finally!", "session_id": 11180, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "Thanks for going through all this work for me", "session_id": 11180, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "No problem! It's really fun working with you :)", "session_id": 11180, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "Aww thanks :))) Ready for the first one?", "session_id": 11180, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "Yeah!", "session_id": 11180, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "Alright let me see this one real quick..", "session_id": 11180, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "Oh ok! I think I get it :) So do you still have all the formulas we wrote down that day?", "session_id": 11180, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "y = mx + b", "session_id": 11180, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "and y - 4 = m (x - 2)", "session_id": 11180, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "Yeah! That one's the point slop form. Do you remember how to find the slope of a perpendicular line?", "session_id": 11180, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "You take the negative reciprocal", "session_id": 11180, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "Perfect! So in the question, we're given an equation, so first we would have to find the slope of the given line by simplifying it into y = mx + b! Then we would find it's perpendicular slope. Wanna give that a try? I'll be here to guide you :)", "session_id": 11180, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "sure", "session_id": 11180, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "Great! Let me know what you get", "session_id": 11180, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "Can you remind me the first step to jog my memory?", "session_id": 11180, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "Yeah! Remember we have to put the parenthesis on the left side around y - 4 so we can multiply by 3? (the denominator of -2/3)", "session_id": 11180, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "got it", "session_id": 11180, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "Also try to get it into the form y = mx + b, bringing the term with the x to the right and keeping the y alone on the left! If you don't understand what I'm asking then just continue solving and i'll explain in more detail after", "session_id": 11180, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "Yeah, I'm lost once again", "session_id": 11180, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "That's ok! Tell me what you have so far :)", "session_id": 11180, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "I got y = -2/3x + 8", "session_id": 11180, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "Perfect! You got the first step right! Yay!!!", "session_id": 11180, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "oh great", "session_id": 11180, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "Now, what will be the slope of the perpendicular line?", "session_id": 11180, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "3/2?", "session_id": 11180, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "Yep! Do you know what to do next with the slope or shall I show you how to do it? There's an easy method and a little bit more tedious one.", "session_id": 11180, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "Which one do you wanna do?", "session_id": 11180, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "The easy one!", "session_id": 11180, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "Ok! Shall I show you how?", "session_id": 11180, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "sure", "session_id": 11180, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "Or do you wanna try with my guidance?", "session_id": 11180, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "yeah, I'll try you guide me", "session_id": 11180, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "I think I'm supposed to start with y - 4 = m (x -2)", "session_id": 11180, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "Ok! I think that's the best way to learn it :). But yeah! You could do that, but that's the start of the tedious method. And you wanted to try the easier one right?", "session_id": 11180, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 11180, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "Alright! Then first, just write down y = mx + b. Then plug in the slope you just found (3/2) in m, and plug in the x and y values, that in the question say (-2, -2)!", "session_id": 11180, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "And all you have to do is find b, the y-intercept.", "session_id": 11180, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "ok.  Can I do it on the graph so you can see?", "session_id": 11180, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "Yeah! The screen on the left?", "session_id": 11180, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "mhm", "session_id": 11180, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "Of course! Let me just move what I wrote rq..", "session_id": 11180, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "Go ahead!", "session_id": 11180, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "is that right?", "session_id": 11180, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "Yep! You got it right!", "session_id": 11180, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "yay", "session_id": 11180, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "Now plug in the slope and the y-intercept (b) into the equation, but don't put the values of x and y.", "session_id": 11180, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "Great!!! Now can you check to see which one of the options above have y = 3/2x + 1?", "session_id": 11180, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "YES!!!!", "session_id": 11180, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "Let me summarize what you did so you can write it down for future problems! So the first thing you did was turn the given equation into y = mx + b to find the slope! Then, we checked to see if it was asking for a parallel line or perpendicular, depending on that we found the slope of the other line. Then we plugged it back into y = mx + b with the x and y values to find b! Then we had our values to write our answer.", "session_id": 11180, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "Any questions before we move on? :D", "session_id": 11180, "sequence_id": 50, "annotations": []}
{"role": "student", "content": "Ok, I think I've got it. Based on that, I think I know how to do the next one. But is it ok if we do it together just to be sure?", "session_id": 11180, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "Yeah of course! I was planning on staying here for as long as you need since you waited so long for me to be free :)", "session_id": 11180, "sequence_id": 52, "annotations": []}
{"role": "student", "content": ": )", "session_id": 11180, "sequence_id": 53, "annotations": []}
{"role": "student", "content": "I really do appreciate that. I'll show you the question and show you what I do bit by bit", "session_id": 11180, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "Of course! I'll be here to guide you if you need help on anything!", "session_id": 11180, "sequence_id": 55, "annotations": []}
{"role": "student", "content": "If I'm correct, the first step is turning it into y = mx + b. I got y = -5x - 1", "session_id": 11180, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "Absolutely right! You're doing great! Now take a look at the question and see if it's asking for parallel or perpendicular and try to do the next step based on that :)", "session_id": 11180, "sequence_id": 57, "annotations": []}
{"role": "student", "content": "I think it's this one since they want it in y - 4 = m(x - 2)", "session_id": 11180, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "Oh, so that's the point-slope form, and it's asking for slope-intercept form which is y = mx + b! Sorry I forgot to tell you that. I believe we have to find b in the next step, but I like your attempt!", "session_id": 11180, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "And remember, the slope you found was -5 :)", "session_id": 11180, "sequence_id": 60, "annotations": []}
{"role": "student", "content": "ok, so I think b = 12", "session_id": 11180, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "Great!! You got that right! Now how would we write it with the slope in slope intercept form? (y = mx + b)", "session_id": 11180, "sequence_id": 62, "annotations": []}
{"role": "student", "content": "y = -5x + 12", "session_id": 11180, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "YAYYYY! Now out of the answer choices, which one does that match?", "session_id": 11180, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "Confetti time!!! I'm so proud of you!", "session_id": 11180, "sequence_id": 65, "annotations": []}
{"role": "student", "content": "Thanks, you wouldn't think that makes a difference, but it does", "session_id": 11180, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": ":D You're doing great!!! Any doubts on this question before we move on?", "session_id": 11180, "sequence_id": 67, "annotations": []}
{"role": "student", "content": "No!", "session_id": 11180, "sequence_id": 68, "annotations": []}
{"role": "student", "content": "I'll get the next question", "session_id": 11180, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "Ok!", "session_id": 11180, "sequence_id": 70, "annotations": []}
{"role": "student", "content": "Ok, i'm not sure what I'll be able to do. My computer won't update and it's working terribly", "session_id": 11180, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "What do you mean by that?", "session_id": 11180, "sequence_id": 72, "annotations": []}
{"role": "student", "content": "I'm not sure if I'll be able to write. It'll probably be slow.", "session_id": 11180, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "Oh that's ok! If you want you can do it on a seperate piece of paper and tell me what you get :)", "session_id": 11180, "sequence_id": 74, "annotations": []}
{"role": "student", "content": "ok", "session_id": 11180, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "Try doing the first step according to you and tell me what you get :D", "session_id": 11180, "sequence_id": 76, "annotations": []}
{"role": "student", "content": "I'm not sure if this is right, but I put it into y = mx + b and got y = 4x + 13", "session_id": 11180, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "Hmm.. can you check the b again? Your slope is correct though!", "session_id": 11180, "sequence_id": 78, "annotations": []}
{"role": "student", "content": "IDK.", "session_id": 11180, "sequence_id": 79, "annotations": []}
{"role": "student", "content": "oh wait", "session_id": 11180, "sequence_id": 80, "annotations": []}
{"role": "student", "content": "I have to put the point (4, 32) in first? Right?", "session_id": 11180, "sequence_id": 81, "annotations": []}
{"role": "volunteer", "content": "In the y = mx + b after you found the slope :)", "session_id": 11180, "sequence_id": 82, "annotations": []}
{"role": "student", "content": "i knew i forgot something. give me a few minutes", "session_id": 11180, "sequence_id": 83, "annotations": []}
{"role": "volunteer", "content": "Of course! Take your time :)", "session_id": 11180, "sequence_id": 84, "annotations": []}
{"role": "student", "content": "b = 16", "session_id": 11180, "sequence_id": 85, "annotations": []}
{"role": "volunteer", "content": "YIPPIEEEE! Now put it into the equation and match it with one of the options", "session_id": 11180, "sequence_id": 86, "annotations": []}
{"role": "volunteer", "content": "YAYYYY!!!! You did it! It's insane to see how much you have improved since the first question we did. You're amazing!", "session_id": 11180, "sequence_id": 87, "annotations": []}
{"role": "student", "content": "Thanks, it's because you're a great tutor. You're very patient", "session_id": 11180, "sequence_id": 88, "annotations": []}
{"role": "volunteer", "content": "No problem! You're so sweet :D", "session_id": 11180, "sequence_id": 89, "annotations": []}
{"role": "volunteer", "content": "Wanna do the next one now?", "session_id": 11180, "sequence_id": 90, "annotations": []}
{"role": "student", "content": "Yep, only 3 more! yay", "session_id": 11180, "sequence_id": 91, "annotations": []}
{"role": "volunteer", "content": "Yay!! You got this!", "session_id": 11180, "sequence_id": 92, "annotations": []}
{"role": "student", "content": "2 of the answer choices got cut off. I'll go get them", "session_id": 11180, "sequence_id": 93, "annotations": []}
{"role": "volunteer", "content": "Ok!", "session_id": 11180, "sequence_id": 94, "annotations": []}
{"role": "volunteer", "content": "Do you need help with starting the question or do you wanna tell me your guess on how you would start it?", "session_id": 11180, "sequence_id": 95, "annotations": []}
{"role": "student", "content": "My guess is that I find the slope of the line given, then put the coordinates given into the form y - 4 = m (x - 2)", "session_id": 11180, "sequence_id": 96, "annotations": []}
{"role": "volunteer", "content": "Absolutely correct! Those are the exact steps you have to follow!!", "session_id": 11180, "sequence_id": 97, "annotations": []}
{"role": "student", "content": "I finally got one on the first try!", "session_id": 11180, "sequence_id": 98, "annotations": []}
{"role": "volunteer", "content": "Mhm! Let me know what you get either step by step or your final answer. I'll be right here!", "session_id": 11180, "sequence_id": 99, "annotations": []}
{"role": "student", "content": "y - 1 = 3/2 (x + 3)", "session_id": 11180, "sequence_id": 100, "annotations": []}
{"role": "volunteer", "content": "OMG!! Excellent! You did it perfectly the first try! Wow you learn so fast", "session_id": 11180, "sequence_id": 101, "annotations": []}
{"role": "student", "content": "wow that felt great", "session_id": 11180, "sequence_id": 102, "annotations": []}
{"role": "volunteer", "content": "Mhm! Isn't math so fun when we understand concepts?", "session_id": 11180, "sequence_id": 103, "annotations": []}
{"role": "student", "content": "only when it isn't draining", "session_id": 11180, "sequence_id": 104, "annotations": []}
{"role": "volunteer", "content": "Agreed! Wanna try the last two?", "session_id": 11180, "sequence_id": 105, "annotations": []}
{"role": "student", "content": "mhm. I'll get it", "session_id": 11180, "sequence_id": 106, "annotations": []}
{"role": "volunteer", "content": "Ok!", "session_id": 11180, "sequence_id": 107, "annotations": []}
{"role": "student", "content": "for this next one, keep in mind I got the last one right ; )", "session_id": 11180, "sequence_id": 108, "annotations": []}
{"role": "volunteer", "content": "Yeah!! Wanna tell me your approach to this one?", "session_id": 11180, "sequence_id": 109, "annotations": []}
{"role": "student", "content": "maybe find the slope of this one", "session_id": 11180, "sequence_id": 110, "annotations": []}
{"role": "volunteer", "content": "Mhm!", "session_id": 11180, "sequence_id": 111, "annotations": []}
{"role": "student", "content": "1/2", "session_id": 11180, "sequence_id": 112, "annotations": []}
{"role": "volunteer", "content": "Yes! Now what's the next step according to you?", "session_id": 11180, "sequence_id": 113, "annotations": []}
{"role": "student", "content": "give up?", "session_id": 11180, "sequence_id": 114, "annotations": []}
{"role": "volunteer", "content": "Do you wanna know?", "session_id": 11180, "sequence_id": 115, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 11180, "sequence_id": 116, "annotations": []}
{"role": "volunteer", "content": "We can use the point slope form! y - 4 = m(x - 2)!", "session_id": 11180, "sequence_id": 117, "annotations": []}
{"role": "volunteer", "content": "Then just simplify it :)", "session_id": 11180, "sequence_id": 118, "annotations": []}
{"role": "student", "content": "ok, i'll give it a go", "session_id": 11180, "sequence_id": 119, "annotations": []}
{"role": "student", "content": "how do you automatically know what to do?", "session_id": 11180, "sequence_id": 120, "annotations": []}
{"role": "volunteer", "content": "Shall I tell you a small tip?", "session_id": 11180, "sequence_id": 121, "annotations": []}
{"role": "student", "content": "yes please,", "session_id": 11180, "sequence_id": 122, "annotations": []}
{"role": "volunteer", "content": "So basically you know all the forms I told you right? They all mean the same thing, but are just written differently. So you can simplify each one into another form.", "session_id": 11180, "sequence_id": 123, "annotations": []}
{"role": "volunteer", "content": "By looking at the options or by what the form the questions wants the answer in", "session_id": 11180, "sequence_id": 124, "annotations": []}
{"role": "student", "content": "it seems to come so easily to you", "session_id": 11180, "sequence_id": 125, "annotations": []}
{"role": "volunteer", "content": "Yeah! At this point by how much you're improving, just a bit more practice will make you even better than me :D", "session_id": 11180, "sequence_id": 126, "annotations": []}
{"role": "student", "content": "I wish! I think I've got it", "session_id": 11180, "sequence_id": 127, "annotations": []}
{"role": "student", "content": "I got 4x + 3y = -6", "session_id": 11180, "sequence_id": 128, "annotations": []}
{"role": "volunteer", "content": "ABSOLUTELY CORRECT!!!!!", "session_id": 11180, "sequence_id": 129, "annotations": []}
{"role": "volunteer", "content": "Amazing! Now which one of the questions matches what you got?", "session_id": 11180, "sequence_id": 130, "annotations": []}
{"role": "volunteer", "content": "I mean answer choices lol", "session_id": 11180, "sequence_id": 131, "annotations": []}
{"role": "volunteer", "content": "Ya!", "session_id": 11180, "sequence_id": 132, "annotations": []}
{"role": "student", "content": "So close to the end now! Just one last one!", "session_id": 11180, "sequence_id": 133, "annotations": []}
{"role": "volunteer", "content": "Yeah! You're doing amazing", "session_id": 11180, "sequence_id": 134, "annotations": []}
{"role": "student", "content": "sorry it's taking me a bit.\\", "session_id": 11180, "sequence_id": 135, "annotations": []}
{"role": "student", "content": "The question won't load", "session_id": 11180, "sequence_id": 136, "annotations": []}
{"role": "volunteer", "content": "No problem! Take your time :D", "session_id": 11180, "sequence_id": 137, "annotations": []}
{"role": "student", "content": "Ok, this is actually pretty funny", "session_id": 11180, "sequence_id": 138, "annotations": []}
{"role": "volunteer", "content": "Lol! If it doesn't like to load then you can just tell me what the question is asking for", "session_id": 11180, "sequence_id": 139, "annotations": []}
{"role": "student", "content": "It's so simple. It's a horizontal line and it's asking me what  equation of the line that is parallel to the given line and passes through (-4, -6)", "session_id": 11180, "sequence_id": 140, "annotations": []}
{"role": "student", "content": "That's why I thought it was funny", "session_id": 11180, "sequence_id": 141, "annotations": []}
{"role": "volunteer", "content": "Oh Alright! Do you think you can give it a go?", "session_id": 11180, "sequence_id": 142, "annotations": []}
{"role": "student", "content": "Yeah y = -6.", "session_id": 11180, "sequence_id": 143, "annotations": []}
{"role": "student", "content": "I feel like I can finally breathe again now that this is over for the week", "session_id": 11180, "sequence_id": 144, "annotations": []}
{"role": "volunteer", "content": "Oh that's so easy lol!", "session_id": 11180, "sequence_id": 145, "annotations": []}
{"role": "volunteer", "content": "You did amazing! :D", "session_id": 11180, "sequence_id": 146, "annotations": []}
{"role": "volunteer", "content": "I'm so proud of how far you came", "session_id": 11180, "sequence_id": 147, "annotations": []}
{"role": "student", "content": "Thank you so much : )))", "session_id": 11180, "sequence_id": 148, "annotations": []}
{"role": "student", "content": "I'm really glad that you were my tutor", "session_id": 11180, "sequence_id": 149, "annotations": []}
{"role": "student", "content": "Sorry if I was draining lol", "session_id": 11180, "sequence_id": 150, "annotations": []}
{"role": "volunteer", "content": "No problem! Have a great day Jamie! And if you ever need help on another topic don't hesitate to reach out to me :)", "session_id": 11180, "sequence_id": 151, "annotations": [{"pii_type": "PERSON", "surrogate": "Jamie", "start": 29, "end": 34}]}
{"role": "student", "content": "Alright thanks! I hope you enjoy your day! Bye ; )", "session_id": 11180, "sequence_id": 152, "annotations": []}
{"role": "volunteer", "content": "Bye!! :D", "session_id": 11180, "sequence_id": 153, "annotations": []}
{"role": "volunteer", "content": "Afternoon!", "session_id": 11171, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "Hello", "session_id": 11171, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "what do you need help with?", "session_id": 11171, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "I would like to learn some Algebra today nothing specific", "session_id": 11171, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "How about I send you some random algebra problems?", "session_id": 11171, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "okay", "session_id": 11171, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "also the board won't connect", "session_id": 11171, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "refresh", "session_id": 11171, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "I did it still won't work", "session_id": 11171, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "Here are 3", "session_id": 11171, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "Let me know if yo need help", "session_id": 11171, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "can you type them in the chat the board isn't working sorry", "session_id": 11171, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "Solve for x:\n3x+5=20\n\nSimplify: \n2(a+3)\u22124a\n\nFind the value of y if\n4y\u22128=0", "session_id": 11171, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "you need help?", "session_id": 11171, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "uh yes", "session_id": 11171, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "Here's how we dsolve it", "session_id": 11171, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "For the first one, we subtract 5 from both sides and divide by 3", "session_id": 11171, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "so subtract 5 from 3 and 20?", "session_id": 11171, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "both sides, yes", "session_id": 11171, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "so what do I divide by 3?", "session_id": 11171, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "after subtracting 5 from both sides", "session_id": 11171, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "so the answers i got divide by 3?", "session_id": 11171, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "is", "session_id": 11171, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "5", "session_id": 11171, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "what do I divide by 3?", "session_id": 11171, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "3x", "session_id": 11171, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "and 1", "session_id": 11171, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "15", "session_id": 11171, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "Want to move on?", "session_id": 11171, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "3-5=2 correct?", "session_id": 11171, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "so im subtracting 3-5 and 5-20 right?", "session_id": 11171, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "invert the numbers", "session_id": 11171, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "5-3 and 20-5?", "session_id": 11171, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "First subtract 5 from both sides", "session_id": 11171, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "okay my answers were 2 and 15", "session_id": 11171, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "You should get 3x=15", "session_id": 11171, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "can you walk me through this please", "session_id": 11171, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "First subtract 5 from both sides", "session_id": 11171, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "You should get 3x=15", "session_id": 11171, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "how do I get that?", "session_id": 11171, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "subtract 5 from both sides", "session_id": 11171, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "please demonstrate", "session_id": 11171, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "hello?", "session_id": 11171, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "oH right, you can't it", "session_id": 11171, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "3x+5=20\n3x+5-5=20-5\n3x=15", "session_id": 11171, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "My bad", "session_id": 11171, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "so add not subtract?", "session_id": 11171, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "you have to sbtract", "session_id": 11171, "sequence_id": 47, "annotations": []}
{"role": "student", "content": "okay can you demonstrate because I do not understand", "session_id": 11171, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "I showed you", "session_id": 11171, "sequence_id": 49, "annotations": []}
{"role": "student", "content": "I still do not understand it", "session_id": 11171, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "you have to sbtract 5 from both sides", "session_id": 11171, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "ok thanks", "session_id": 11171, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "Hi Alex", "session_id": 11189, "sequence_id": 0, "annotations": [{"pii_type": "PERSON", "surrogate": "Alex", "start": 3, "end": 7}]}
{"role": "student", "content": "Hi, I just need help with starting on how to use x and interepting with slope, r, z, and y intercept", "session_id": 11189, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "Do you have a specific problem you'd like to work on?", "session_id": 11189, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "If not, I can give you an example.", "session_id": 11189, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "I'm reading...", "session_id": 11189, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "Is there more information. For example, were you given the data values for the high jump and long jump?", "session_id": 11189, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "No - that is all of the data given. This is an ap statistics formatted one", "session_id": 11189, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "OK. Can you give me about 5 minutes to find the right formula?", "session_id": 11189, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "we use y-hat = a+bx", "session_id": 11189, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "if that helps", "session_id": 11189, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "but im not sure the writing style", "session_id": 11189, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "We use that when we have the data values. I'll show you the formula on the board.", "session_id": 11189, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "Do you see it?", "session_id": 11189, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "yes", "session_id": 11189, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "Let's call Y = high jump and X = long jump.", "session_id": 11189, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "okay", "session_id": 11189, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "Your problem gives you the means (X_bar, Y_bar) and the standard deviations (Sx and Sy) and the correlation coefficient, r", "session_id": 11189, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "All you need to do is plug in the values.", "session_id": 11189, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "so the correlation cofefficent 0.9125 shows a strong direction strenght between long and high jump?", "session_id": 11189, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "Yes.", "session_id": 11189, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "so 83.25% of the variation in high kump can be explaned by linear relationship with long jump?", "session_id": 11189, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "is that the r^2", "session_id": 11189, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "Let me check the formula for that. Give me 2-3 minutes.", "session_id": 11189, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "okay", "session_id": 11189, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "That's correct. I'll show the formula on the board for your last question.", "session_id": 11189, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "okay, how did you intepret the slope? which value would be the constnat, im a bit confused as i am usd to see it in a differnt format that shows the constant and the x and y make it harder because i dont know the unit and stuff and the contextis vague", "session_id": 11189, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "We already know the slope will be positive, because \"r\" is positive.", "session_id": 11189, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "yes", "session_id": 11189, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "A positive slope means that people who do well in the long jump will also jump high.", "session_id": 11189, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "okay, that is all i had questions over! thank you for helping, this was a huge help!", "session_id": 11189, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "You're welcome. We can end the session. Enjoy the rest of your day.", "session_id": 11189, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "okay you too", "session_id": 11189, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "Hi Alex. How can I help you?", "session_id": 10922, "sequence_id": 0, "annotations": [{"pii_type": "PERSON", "surrogate": "Alex", "start": 3, "end": 7}]}
{"role": "student", "content": "hi can you help me solve a division problem?", "session_id": 10922, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "sure. can you post the problem on the board?", "session_id": 10922, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "yea i got u", "session_id": 10922, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "i see it", "session_id": 10922, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "thanks", "session_id": 10922, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "so for the first part", "session_id": 10922, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "if 6 does not go into 2 what do i do?", "session_id": 10922, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "good question.", "session_id": 10922, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "since 6 doesn't go into two, you will need to go one digit over and answer \"how many times does 6 go into 22?\"", "session_id": 10922, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "3 times because 6x3 is 18 and that is closest to 22", "session_id": 10922, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "right", "session_id": 10922, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "excellent work", "session_id": 10922, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "so now do i find a number that is closest to 43?", "session_id": 10922, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 10922, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "6x7=42", "session_id": 10922, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "right", "session_id": 10922, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "what do i do with the remainder?", "session_id": 10922, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "you can write \"R2\" for remainder is 2 just to the right of the quotient", "session_id": 10922, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "ok", "session_id": 10922, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "thanks for helping me", "session_id": 10922, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "you are welcome", "session_id": 10922, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "have a good day", "session_id": 10922, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "you too", "session_id": 10922, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "hi! how are you today?", "session_id": 11163, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "good", "session_id": 11163, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "what do you need help with today?", "session_id": 11163, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "I did the blue one, but I am not sure if I did it right", "session_id": 11163, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "could you help me figure it out if it is wrong?", "session_id": 11163, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "sure! let me take a look", "session_id": 11163, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "hmm I don't think it looks right, because if its a reflection, the triangle should look symmetric about the line y=x", "session_id": 11163, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "so each point should be an equal distance away from the line", "session_id": 11163, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "so, I think I need to find the reflection of g still, because the other two points look okay to me", "session_id": 11163, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "yes!", "session_id": 11163, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "let me know when you're done, and i can take another look", "session_id": 11163, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "do I change the signs? just for clarification", "session_id": 11163, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "you flip the values and the signs", "session_id": 11163, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "so if the original point is at (3,2) then the reflected point is at (-2,-3)", "session_id": 11163, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "so it is 10,1?", "session_id": 11163, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "well you didn't flip them", "session_id": 11163, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "that is 1,10", "session_id": 11163, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "ohhh!", "session_id": 11163, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "but it will be where i put the dot at though", "session_id": 11163, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "no i see what you're saying", "session_id": 11163, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "so for reflections you actually don't change the signs", "session_id": 11163, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "you just flip the x and y values", "session_id": 11163, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "so if its at ((-10, -1)) the new point is (-1,-10)", "session_id": 11163, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "so I was right the first time?", "session_id": 11163, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "it would be at (-1, -10)", "session_id": 11163, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "I also don't think Point F is correct right now", "session_id": 11163, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "take another look at where you placed it", "session_id": 11163, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "the rule is (x,y) turns into (y,x) here", "session_id": 11163, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "Oki", "session_id": 11163, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "the black thing I put is where I think point f should be now", "session_id": 11163, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "are you there?", "session_id": 11163, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 11163, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "the black dot looks right", "session_id": 11163, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "for F", "session_id": 11163, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "it was right!", "session_id": 11163, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "ok great!", "session_id": 11163, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "did you need help with anything else?", "session_id": 11163, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "I put point g on there already", "session_id": 11163, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "yep looks right", "session_id": 11163, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "do I need to look again?", "session_id": 11163, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "for H? nope!", "session_id": 11163, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "is that good?", "session_id": 11163, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "yes!", "session_id": 11163, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "Yay", "session_id": 11163, "sequence_id": 43, "annotations": []}
{"role": "student", "content": "Do I need to look over them again?", "session_id": 11163, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "let me see", "session_id": 11163, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "look over the bottom 2 black dots", "session_id": 11163, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "oki", "session_id": 11163, "sequence_id": 47, "annotations": []}
{"role": "student", "content": "I fixed it", "session_id": 11163, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "take another look at them", "session_id": 11163, "sequence_id": 49, "annotations": []}
{"role": "student", "content": "could you help me,because I am not sure where I am going wrong at", "session_id": 11163, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "so you need to find the point thats equidistant to the original point", "session_id": 11163, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "so for example, if the point is 3 units away from the line on the top, it should be 3 units away from the line on the bottom", "session_id": 11163, "sequence_id": 52, "annotations": []}
{"role": "student", "content": "I wasn't counting all the units.................... my bad", "session_id": 11163, "sequence_id": 53, "annotations": []}
{"role": "student", "content": "hello?", "session_id": 11163, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "yep!", "session_id": 11163, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "your new points look right", "session_id": 11163, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "your black points look right", "session_id": 11163, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "i think you have a pretty good understanding of what's going on now!", "session_id": 11163, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "i have to go, but you did a really good job today!", "session_id": 11163, "sequence_id": 59, "annotations": []}
{"role": "student", "content": "okay", "session_id": 11163, "sequence_id": 60, "annotations": []}
{"role": "student", "content": "we have a test tmr about pression over accurate and we also have it over", "session_id": 11181, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "hi Alice", "session_id": 11181, "sequence_id": 1, "annotations": [{"pii_type": "PERSON", "surrogate": "Alice", "start": 3, "end": 8}]}
{"role": "student", "content": "hi", "session_id": 11181, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "supplementary complementary linear pair adjacent and vertical angle", "session_id": 11181, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "please show me a problem you need help with", "session_id": 11181, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "want me to try to shrink it?", "session_id": 11181, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "can you see the whole thing", "session_id": 11181, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "no", "session_id": 11181, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "still no", "session_id": 11181, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "want me to shrink it?", "session_id": 11181, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "yes", "session_id": 11181, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "I can't see all of #18, but can see #19 now", "session_id": 11181, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "I need to know 19", "session_id": 11181, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "18 is fine", "session_id": 11181, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 11181, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "I don't understand how to solve it", "session_id": 11181, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "I'll talk you through it", "session_id": 11181, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "if the steamer was 25 1/2 inches long, what measurement would David get?", "session_id": 11181, "sequence_id": 17, "annotations": [{"pii_type": "PERSON", "surrogate": "David", "start": 62, "end": 67}]}
{"role": "student", "content": "that's the thing I don't understand", "session_id": 11181, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "he his measuring to the closest 1/4 of an inch", "session_id": 11181, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "so he would never get 25 7/8 as an answer, for example", "session_id": 11181, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "he can get 25 1/2, 25 3/4, or 26", "session_id": 11181, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "whichever is the closest to the actual measure", "session_id": 11181, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "so it will be 26", "session_id": 11181, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "25 1/2 is 25.5, 25 3/3 is 25.75", "session_id": 11181, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "so he will get 25.75", "session_id": 11181, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "is 25.6 closer to 25.5 or 25.75?", "session_id": 11181, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "25.5", "session_id": 11181, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "right, so if it was really 25.6, he'd get 25.75 as his answer", "session_id": 11181, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "how about 25.7? what would he get?", "session_id": 11181, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "closer to 25.5 or 25.75?", "session_id": 11181, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "25.5", "session_id": 11181, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": ".2 away from 25.5, but only .05 away from 25.75", "session_id": 11181, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "25.7", "session_id": 11181, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "so his answer will be 25.7", "session_id": 11181, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "no", "session_id": 11181, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "okay so 25.5", "session_id": 11181, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "nearest 1/4 inch, so 25.75", "session_id": 11181, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "okay sounds good thank you for your help", "session_id": 11181, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "because 25.7 is closer to 25.75 than 25.5, and those are his only choices", "session_id": 11181, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "okay thank you so much for the help", "session_id": 11181, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "yw. you don't want to finish this?", "session_id": 11181, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "finish what", "session_id": 11181, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "this problem", "session_id": 11181, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "we don't have the answer yet", "session_id": 11181, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "there's more to itn", "session_id": 11181, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "to it", "session_id": 11181, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "I'm just trying to get you to understand it", "session_id": 11181, "sequence_id": 47, "annotations": []}
{"role": "student", "content": "ooh my", "session_id": 11181, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "do you understand that if the length is closer to 25.5, then David will get 25 1/2 as his answer, but if it is closer to 25.75, then he'll get 25 3/4 ?", "session_id": 11181, "sequence_id": 49, "annotations": [{"pii_type": "PERSON", "surrogate": "David", "start": 61, "end": 66}]}
{"role": "student", "content": "yes that's makes so much sense", "session_id": 11181, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "what if the length is exactly halfway between 25 1/2 and 25 3/4?", "session_id": 11181, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "he could say either one as the length, right?", "session_id": 11181, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "since the distance to either on is the same", "session_id": 11181, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "*either one", "session_id": 11181, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "right?", "session_id": 11181, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "are you here?", "session_id": 11181, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "I'm about to close this session because you aren't here", "session_id": 11181, "sequence_id": 57, "annotations": []}
{"role": "student", "content": "yes I am", "session_id": 11181, "sequence_id": 58, "annotations": []}
{"role": "student", "content": "I was looking to see if we had the same answer", "session_id": 11181, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "you haven't been responding", "session_id": 11181, "sequence_id": 60, "annotations": []}
{"role": "student", "content": "bc I was waiting", "session_id": 11181, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "do you understand my question about the length being halfway between 25 1/2 and 25 3/4?", "session_id": 11181, "sequence_id": 62, "annotations": []}
{"role": "student", "content": "yes I do thank you so much for the help", "session_id": 11181, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "hi", "session_id": 11206, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "hello", "session_id": 11206, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "so just to let you know this is my first time starting precalculis", "session_id": 11206, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "calculius", "session_id": 11206, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "so whoever I need to learn can you teach me", "session_id": 11206, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "how can I help?", "session_id": 11206, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "have you worked with exponents before?", "session_id": 11206, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "yes", "session_id": 11206, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "to do multiplication, we add the exponents.", "session_id": 11206, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "ok", "session_id": 11206, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "to do division, we subtract the exponents.", "session_id": 11206, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "so 7 times 7", "session_id": 11206, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "oh", "session_id": 11206, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "sometimes the exponent is negative", "session_id": 11206, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "ok", "session_id": 11206, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "same rule", "session_id": 11206, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "add the exponents", "session_id": 11206, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "I think I get it", "session_id": 11206, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "correct?", "session_id": 11206, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "good work", "session_id": 11206, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "thank you", "session_id": 11206, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "what's next", "session_id": 11206, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "order of operations", "session_id": 11206, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "?", "session_id": 11206, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "PEMDAS", "session_id": 11206, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "ohhh Maya", "session_id": 11206, "sequence_id": 25, "annotations": [{"pii_type": "PERSON", "surrogate": "Maya", "start": 5, "end": 9}]}
{"role": "volunteer", "content": "yes", "session_id": 11206, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "I think I got this", "session_id": 11206, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "we multiply that right", "session_id": 11206, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "correct", "session_id": 11206, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "all good", "session_id": 11206, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "lets goo", "session_id": 11206, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "pemdas still? or is this something different", "session_id": 11206, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "pemdas", "session_id": 11206, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "quick question what is an equation again", "session_id": 11206, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "e is for exponent", "session_id": 11206, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "oh", "session_id": 11206, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "so all we got is mutiplucation and division", "session_id": 11206, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 11206, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "sorry, incorrect", "session_id": 11206, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "huh", "session_id": 11206, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "pemdas has a special rule.", "session_id": 11206, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "what rule?", "session_id": 11206, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "when we have multiplication and division, we start from the left.", "session_id": 11206, "sequence_id": 43, "annotations": []}
{"role": "student", "content": "oh I thought it was times first then division", "session_id": 11206, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "because of how they are ordered", "session_id": 11206, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "I understand that.", "session_id": 11206, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "My Dear,  does not mean multiply first.", "session_id": 11206, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "multiply first when we have addition or subtraciton.", "session_id": 11206, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "ok", "session_id": 11206, "sequence_id": 49, "annotations": []}
{"role": "student", "content": "?", "session_id": 11206, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "correct", "session_id": 11206, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "yes", "session_id": 11206, "sequence_id": 52, "annotations": []}
{"role": "student", "content": "oh just solve them cubed?", "session_id": 11206, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 11206, "sequence_id": 54, "annotations": []}
{"role": "student", "content": "I think", "session_id": 11206, "sequence_id": 55, "annotations": []}
{"role": "student", "content": "that's 64", "session_id": 11206, "sequence_id": 56, "annotations": []}
{"role": "student", "content": "phew", "session_id": 11206, "sequence_id": 57, "annotations": []}
{"role": "student", "content": "right?", "session_id": 11206, "sequence_id": 58, "annotations": []}
{"role": "student", "content": "oh sorry", "session_id": 11206, "sequence_id": 59, "annotations": []}
{"role": "student", "content": "um idk", "session_id": 11206, "sequence_id": 60, "annotations": []}
{"role": "student", "content": "ok", "session_id": 11206, "sequence_id": 61, "annotations": []}
{"role": "student", "content": "ohhh", "session_id": 11206, "sequence_id": 62, "annotations": []}
{"role": "student", "content": "nice", "session_id": 11206, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "all good", "session_id": 11206, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "I apologize.  I need to sign off.", "session_id": 11206, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "please sign on again.", "session_id": 11206, "sequence_id": 66, "annotations": []}
{"role": "student", "content": "ok thank you for the help", "session_id": 11206, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "there are other coaches available.", "session_id": 11206, "sequence_id": 68, "annotations": []}
{"role": "student", "content": "ok", "session_id": 11206, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "you're welcome.", "session_id": 11206, "sequence_id": 70, "annotations": []}
{"role": "student", "content": "5 stars", "session_id": 11206, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "thanks!!", "session_id": 11206, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "Hi Leo", "session_id": 11375, "sequence_id": 0, "annotations": [{"pii_type": "PERSON", "surrogate": "Leo", "start": 3, "end": 6}]}
{"role": "student", "content": "Hello, I need help with this assignment", "session_id": 11375, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "The first step is to plot the line y = 10+1.5x on the graph. Can you do it?", "session_id": 11375, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 11375, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "Should i show you what i did", "session_id": 11375, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "Sure.", "session_id": 11375, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "Here it is", "session_id": 11375, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "I'm looking...", "session_id": 11375, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "Looks correct.", "session_id": 11375, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "Okay", "session_id": 11375, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "Next step is to plot the line 11+1.2x.", "session_id": 11375, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "here it is", "session_id": 11375, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "Looks good.", "session_id": 11375, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "I can show you what the two lines look like, together with the original data values, if you like.", "session_id": 11375, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "Oh okay, sure", "session_id": 11375, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "The blue line is 10+1.5x. Green is 11+1.2x. Do you see it?", "session_id": 11375, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "yes, i see it", "session_id": 11375, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "Which line do you think fits the red dots better?", "session_id": 11375, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "Wait, I'll try to see using the table method on desmos", "session_id": 11375, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "OK.", "session_id": 11375, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "This is what I got", "session_id": 11375, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "That's good.", "session_id": 11375, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 11375, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "Do you need help with the other questions?", "session_id": 11375, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "Which other questions?", "session_id": 11375, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "Questions 2.32a, b and c.", "session_id": 11375, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "Yes please", "session_id": 11375, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "Question (a) asks which of the two lines do you think fits the data (red dots) better?", "session_id": 11375, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "I think the blue one, is that correct?", "session_id": 11375, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "It's actually very hard to tell until we answer question (c). But your blue line does look a little better than the red one.", "session_id": 11375, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "Yeah, I figured", "session_id": 11375, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "Question (b) asks to calculate a value. Can you do it?", "session_id": 11375, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "I kinda need help with that", "session_id": 11375, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "Start with your red line, y=10+1.5x, and check the first data point. Plug in x = 1, what do you get for y = ?", "session_id": 11375, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "Okay", "session_id": 11375, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "I get 11.5", "session_id": 11375, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "Awesome. Now try the blue line, y = 11+1.2x. Plug in x=1. y = ?", "session_id": 11375, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "I get 12.1", "session_id": 11375, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "No 12.2", "session_id": 11375, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "my bad", "session_id": 11375, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "Good. Between the two lines (red = 11.5 and blue = 12.2), which one is closer to the actual data value, y = 13 ?", "session_id": 11375, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "the blue 12.2", "session_id": 11375, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "Right. I think that's all you need to do for question (b).", "session_id": 11375, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "Oh okay", "session_id": 11375, "sequence_id": 43, "annotations": []}
{"role": "student", "content": "How about c?", "session_id": 11375, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "For question (c), you'll need to do a little calculating.", "session_id": 11375, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "Did you learn about the \"squared residuals\" ?", "session_id": 11375, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "I only know the residual, I don't it when it comes to squared", "session_id": 11375, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "OK. Which formula did your teacher give you for the \"residual\" ?", "session_id": 11375, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "residual= actual- predicted", "session_id": 11375, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "Perfect. I", "session_id": 11375, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "I'll show you the next step on the board.", "session_id": 11375, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "Okay", "session_id": 11375, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "I'll set up a table.", "session_id": 11375, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "Let's work on the residuals starting with the red line, 10+1.5x.", "session_id": 11375, "sequence_id": 54, "annotations": []}
{"role": "student", "content": "okay", "session_id": 11375, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "You already calculated y = 11.5 for x=1. I'll put that in the table.", "session_id": 11375, "sequence_id": 56, "annotations": []}
{"role": "student", "content": "okay", "session_id": 11375, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "Can you calculate 10+1.5x for the other values: x = 3, 4 5 ?", "session_id": 11375, "sequence_id": 58, "annotations": []}
{"role": "student", "content": "Okay, I'l calculate them and let you know", "session_id": 11375, "sequence_id": 59, "annotations": []}
{"role": "student", "content": "3=14.5 4=16 5= 17.5", "session_id": 11375, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "Next, you can calculate the squared residual. For x=1 for example, it's (actual-predicted)^2 = (12-11.5)^2 = ?", "session_id": 11375, "sequence_id": 61, "annotations": []}
{"role": "student", "content": "Okay", "session_id": 11375, "sequence_id": 62, "annotations": []}
{"role": "student", "content": "Okay, it is here in the graph", "session_id": 11375, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "Not quite correct. For x=1, instead of 12-11.5^2, you need to subtract first, and then square: (12-11.5)^2.", "session_id": 11375, "sequence_id": 64, "annotations": []}
{"role": "student", "content": "Oh okay", "session_id": 11375, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "For example, (12-11.5)^2 = 0.5^2 = 0.25", "session_id": 11375, "sequence_id": 66, "annotations": []}
{"role": "student", "content": "Oh okay", "session_id": 11375, "sequence_id": 67, "annotations": []}
{"role": "student", "content": "I'll try again", "session_id": 11375, "sequence_id": 68, "annotations": []}
{"role": "student", "content": "is this good", "session_id": 11375, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "You got the residuals. Now let's get the squares. What is 0.5^2 =", "session_id": 11375, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "You can also use your calculator if you have one.", "session_id": 11375, "sequence_id": 71, "annotations": []}
{"role": "student", "content": "I think I already did it", "session_id": 11375, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "OK. I see it.", "session_id": 11375, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "Now to get the *sum* of the squared residuals, can you add up the numbers circled in green?", "session_id": 11375, "sequence_id": 74, "annotations": []}
{"role": "student", "content": "Okay, I'll try", "session_id": 11375, "sequence_id": 75, "annotations": []}
{"role": "student", "content": "I got 4.75", "session_id": 11375, "sequence_id": 76, "annotations": []}
{"role": "student", "content": "wait no, 2.25", "session_id": 11375, "sequence_id": 77, "annotations": []}
{"role": "student", "content": "0.75", "session_id": 11375, "sequence_id": 78, "annotations": []}
{"role": "student", "content": "2.75", "session_id": 11375, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "2.75 is correct.", "session_id": 11375, "sequence_id": 80, "annotations": []}
{"role": "volunteer", "content": "Next, we do the same thing for the blue line.", "session_id": 11375, "sequence_id": 81, "annotations": []}
{"role": "student", "content": "i kept mistaking it", "session_id": 11375, "sequence_id": 82, "annotations": []}
{"role": "student", "content": "Okay, I'll start", "session_id": 11375, "sequence_id": 83, "annotations": []}
{"role": "volunteer", "content": "Can you calculate the \"predicted\" values. For x=1, you get 11+1.2(1) = ?", "session_id": 11375, "sequence_id": 84, "annotations": []}
{"role": "student", "content": "12.2", "session_id": 11375, "sequence_id": 85, "annotations": []}
{"role": "volunteer", "content": "Right. Keep going. Same thing for x=3, 4, 5.", "session_id": 11375, "sequence_id": 86, "annotations": []}
{"role": "student", "content": "Okay, this is what I got for all", "session_id": 11375, "sequence_id": 87, "annotations": []}
{"role": "volunteer", "content": "OK. I'll write this on the board. Can you calculate the residuals for the blue line?", "session_id": 11375, "sequence_id": 88, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 11375, "sequence_id": 89, "annotations": []}
{"role": "student", "content": "Okay I got it", "session_id": 11375, "sequence_id": 90, "annotations": []}
{"role": "volunteer", "content": "What you calculated is the square of the predicted values. What we need is 12-12.2 = -0.2, etc.", "session_id": 11375, "sequence_id": 91, "annotations": []}
{"role": "student", "content": "Oh okay", "session_id": 11375, "sequence_id": 92, "annotations": []}
{"role": "volunteer", "content": "In other words, you take the number from the \"Y\" column and subtract the number from the \"11+1.2x\" column.", "session_id": 11375, "sequence_id": 93, "annotations": []}
{"role": "student", "content": "Okay there you go", "session_id": 11375, "sequence_id": 94, "annotations": []}
{"role": "volunteer", "content": "Good. Next, can you take the numbers in the blue \"Residual\" column and square them. For example, (-0.2)^2 = 0.04.", "session_id": 11375, "sequence_id": 95, "annotations": []}
{"role": "student", "content": "I already did that", "session_id": 11375, "sequence_id": 96, "annotations": []}
{"role": "volunteer", "content": "Yes, you did.", "session_id": 11375, "sequence_id": 97, "annotations": []}
{"role": "volunteer", "content": "And can you add up the numbers in the blue (Residual)^2 column: 0.04 + 2.56 + ...", "session_id": 11375, "sequence_id": 98, "annotations": []}
{"role": "student", "content": "Okay", "session_id": 11375, "sequence_id": 99, "annotations": []}
{"role": "student", "content": "I got 2.64", "session_id": 11375, "sequence_id": 100, "annotations": []}
{"role": "volunteer", "content": "Awesome. This confirms that the blue line is better than the red line, because the squared residuals are less.", "session_id": 11375, "sequence_id": 101, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 11375, "sequence_id": 102, "annotations": []}
{"role": "volunteer", "content": "The last step is to do the same using the best-fit line, 10.2+1.3x, shown in green color.", "session_id": 11375, "sequence_id": 103, "annotations": []}
{"role": "student", "content": "Okay", "session_id": 11375, "sequence_id": 104, "annotations": []}
{"role": "volunteer", "content": "First find the predicted values. For x=1 for example, 10.2+1.3(1) = 13.5", "session_id": 11375, "sequence_id": 105, "annotations": []}
{"role": "student", "content": "Like this", "session_id": 11375, "sequence_id": 106, "annotations": []}
{"role": "volunteer", "content": "Yes. Next, can you find the residuals?", "session_id": 11375, "sequence_id": 107, "annotations": []}
{"role": "student", "content": "how again?", "session_id": 11375, "sequence_id": 108, "annotations": []}
{"role": "volunteer", "content": "For x=1, it's actual-predicted = 12-11.5 = 1.5", "session_id": 11375, "sequence_id": 109, "annotations": []}
{"role": "student", "content": "Oh okay", "session_id": 11375, "sequence_id": 110, "annotations": []}
{"role": "volunteer", "content": "I meant 12-11.5=0.5", "session_id": 11375, "sequence_id": 111, "annotations": []}
{"role": "student", "content": "Like this", "session_id": 11375, "sequence_id": 112, "annotations": []}
{"role": "volunteer", "content": "I'm looking...", "session_id": 11375, "sequence_id": 113, "annotations": []}
{"role": "volunteer", "content": "Good. Now can you square the previous numbers? For example (0.5)^2 = 0.25", "session_id": 11375, "sequence_id": 114, "annotations": []}
{"role": "student", "content": "Yes, I did it", "session_id": 11375, "sequence_id": 115, "annotations": []}
{"role": "student", "content": "and I counted the sum", "session_id": 11375, "sequence_id": 116, "annotations": []}
{"role": "volunteer", "content": "What did you get for the sum?", "session_id": 11375, "sequence_id": 117, "annotations": []}
{"role": "student", "content": "I got -0.51", "session_id": 11375, "sequence_id": 118, "annotations": []}
{"role": "volunteer", "content": "It should be 0.25+1.21+0.36+0.09 = ?", "session_id": 11375, "sequence_id": 119, "annotations": []}
{"role": "student", "content": "Wait", "session_id": 11375, "sequence_id": 120, "annotations": []}
{"role": "student", "content": "1.91?", "session_id": 11375, "sequence_id": 121, "annotations": []}
{"role": "volunteer", "content": "Yes, now it's correct. This confirms that the best-fit line has the least sum of the squared residuals.", "session_id": 11375, "sequence_id": 122, "annotations": []}
{"role": "student", "content": "Okay", "session_id": 11375, "sequence_id": 123, "annotations": []}
{"role": "student", "content": "IS that all?", "session_id": 11375, "sequence_id": 124, "annotations": []}
{"role": "volunteer", "content": "Yes. That answers question (c)", "session_id": 11375, "sequence_id": 125, "annotations": []}
{"role": "student", "content": "Thank you so much!", "session_id": 11375, "sequence_id": 126, "annotations": []}
{"role": "student", "content": "So that's all for everything?", "session_id": 11375, "sequence_id": 127, "annotations": []}
{"role": "volunteer", "content": "That's right. We can end the session. Enjoy the rest of your day.", "session_id": 11375, "sequence_id": 128, "annotations": []}
{"role": "student", "content": "You too!", "session_id": 11375, "sequence_id": 129, "annotations": []}
{"role": "volunteer", "content": "hi Chloe", "session_id": 11338, "sequence_id": 0, "annotations": [{"pii_type": "PERSON", "surrogate": "Chloe", "start": 3, "end": 8}]}
{"role": "student", "content": "Hii", "session_id": 11338, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "So I'm in Ib math class which is MA 405. and I have a test on friday. I have some practice questions that'll be similar to the test and I wanted some help getting through them just so I can make sure Im ready :)", "session_id": 11338, "sequence_id": 2, "annotations": [{"pii_type": "COURSE", "surrogate": "MA 405", "start": 33, "end": 39}]}
{"role": "volunteer", "content": "OK", "session_id": 11338, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "So for the big box on the right", "session_id": 11338, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "I did get help for that", "session_id": 11338, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "but I'm unsure how to find b", "session_id": 11338, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "let me look for that", "session_id": 11338, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "I'll paste below your image", "session_id": 11338, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "I pasted it", "session_id": 11338, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "ohh ok", "session_id": 11338, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "we can come back to it later", "session_id": 11338, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "we can do it now", "session_id": 11338, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "what is h?", "session_id": 11338, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "negative", "session_id": 11338, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "h is x axis of vertex", "session_id": 11338, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "h is negative", "session_id": 11338, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "what is a?", "session_id": 11338, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "negative", "session_id": 11338, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 11338, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "and -b/2a is negative", "session_id": 11338, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "so -b, divided by a negative, is also negative", "session_id": 11338, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "b must be negativeee", "session_id": 11338, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "I see now!1", "session_id": 11338, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "is b positive or negative?", "session_id": 11338, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "negative", "session_id": 11338, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "yeah, cause -b has to be positive", "session_id": 11338, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "ohhh okay!!", "session_id": 11338, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "we can start on questions. I'll try them out", "session_id": 11338, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "and then you can tell me if they are incorrect", "session_id": 11338, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "so a is 5", "session_id": 11338, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "axis of symmetry is 5?", "session_id": 11338, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "you could just do -b/2a to find it", "session_id": 11338, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "ohh", "session_id": 11338, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "now part b", "session_id": 11338, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "I think you are on the wrong track", "session_id": 11338, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "think about the quadratic formula", "session_id": 11338, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "this is where I get stuck :(", "session_id": 11338, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "yeah, that's the way to do it", "session_id": 11338, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "how can I remember to use this for the test", "session_id": 11338, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "I don't want to forget :(", "session_id": 11338, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "to me, when they say that a quadratic has no real roots, I just immediately think that the only way you have no real roots is if b^2-4ac is negative, and there are no real solutions when you take sqrt of negative number", "session_id": 11338, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "ohh", "session_id": 11338, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "are my other parts correct", "session_id": 11338, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "interesting that k can be <-25, = -25, and >25, all at the same time, LOL", "session_id": 11338, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "(their wording could have been better)", "session_id": 11338, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "its wrong?", "session_id": 11338, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "I'm criticizing the wording of the problem", "session_id": 11338, "sequence_id": 47, "annotations": []}
{"role": "student", "content": "oh", "session_id": 11338, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "yea Its all weird wording", "session_id": 11338, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "they give you three, conflicting givens", "session_id": 11338, "sequence_id": 50, "annotations": []}
{"role": "student", "content": "yea", "session_id": 11338, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "its just so much formulas and weird wordings", "session_id": 11338, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "but your answers were correct", "session_id": 11338, "sequence_id": 53, "annotations": []}
{"role": "student", "content": "ohh ok", "session_id": 11338, "sequence_id": 54, "annotations": []}
{"role": "student", "content": "imma attempt these", "session_id": 11338, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "and you used quadratic formula again", "session_id": 11338, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "b^2-4ac is the key. 0, and you have a double root, so vertex on x-axis", "session_id": 11338, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "negative means no real roots, positive means 2 real roots", "session_id": 11338, "sequence_id": 58, "annotations": []}
{"role": "student", "content": "now b", "session_id": 11338, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "2 easier ways to solve b", "session_id": 11338, "sequence_id": 60, "annotations": []}
{"role": "student", "content": "x=-2?", "session_id": 11338, "sequence_id": 61, "annotations": []}
{"role": "student", "content": "what's an easier way if you don't mind me asking", "session_id": 11338, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "#1, axis of symmetry is always exactly halfway between the 2 roots, when there are roots", "session_id": 11338, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "(1-5)/2", "session_id": 11338, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "the other way is, again, -b/2a", "session_id": 11338, "sequence_id": 65, "annotations": []}
{"role": "student", "content": "ohhhh", "session_id": 11338, "sequence_id": 66, "annotations": []}
{"role": "student", "content": "its wrong?", "session_id": 11338, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "I don't know how you even got -2, because plugging in -2 in what you had gives you -18=0", "session_id": 11338, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "-2 is right, but I don't know you you got it", "session_id": 11338, "sequence_id": 69, "annotations": []}
{"role": "student", "content": "I looked at the parenthesis", "session_id": 11338, "sequence_id": 70, "annotations": []}
{"role": "student", "content": "I cant just look at the parenthesis?", "session_id": 11338, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "oh, I see", "session_id": 11338, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "vertex form. you don't solve the whole equation, just find h because of (x-h)^2", "session_id": 11338, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "but both of my way are much easier", "session_id": 11338, "sequence_id": 74, "annotations": []}
{"role": "student", "content": "so on my test I can just look at (x-h)", "session_id": 11338, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "yes, but that requires completing the square", "session_id": 11338, "sequence_id": 76, "annotations": []}
{"role": "student", "content": "ok", "session_id": 11338, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "isn't halfway between the roots easier? isn't -b/2a easier?", "session_id": 11338, "sequence_id": 78, "annotations": []}
{"role": "student", "content": "yea but I feel like I'm going to forget it :(", "session_id": 11338, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "axis of symmetry", "session_id": 11338, "sequence_id": 80, "annotations": []}
{"role": "volunteer", "content": "like a mirror running down the middle", "session_id": 11338, "sequence_id": 81, "annotations": []}
{"role": "student", "content": "yea", "session_id": 11338, "sequence_id": 82, "annotations": []}
{"role": "volunteer", "content": "that's why it is in the middle between roots, when there are roots", "session_id": 11338, "sequence_id": 83, "annotations": []}
{"role": "volunteer", "content": "pick any value of y, including 0", "session_id": 11338, "sequence_id": 84, "annotations": []}
{"role": "volunteer", "content": "distance from axis to the point on either side is the same", "session_id": 11338, "sequence_id": 85, "annotations": []}
{"role": "volunteer", "content": "because of symmetry", "session_id": 11338, "sequence_id": 86, "annotations": []}
{"role": "student", "content": "ohh ok", "session_id": 11338, "sequence_id": 87, "annotations": []}
{"role": "student", "content": "I believe only 2 more sections", "session_id": 11338, "sequence_id": 88, "annotations": []}
{"role": "volunteer", "content": "that last answer was correct", "session_id": 11338, "sequence_id": 89, "annotations": []}
{"role": "student", "content": "okayy :)", "session_id": 11338, "sequence_id": 90, "annotations": []}
{"role": "student", "content": "h = 4", "session_id": 11338, "sequence_id": 91, "annotations": []}
{"role": "student", "content": "alpha", "session_id": 11338, "sequence_id": 92, "annotations": []}
{"role": "volunteer", "content": "correct", "session_id": 11338, "sequence_id": 93, "annotations": []}
{"role": "volunteer", "content": "are you plugging the point (0, 2) into the equation?", "session_id": 11338, "sequence_id": 94, "annotations": []}
{"role": "student", "content": "yes", "session_id": 11338, "sequence_id": 95, "annotations": []}
{"role": "student", "content": "ohhhh", "session_id": 11338, "sequence_id": 96, "annotations": []}
{"role": "student", "content": "I forgot x \\", "session_id": 11338, "sequence_id": 97, "annotations": []}
{"role": "volunteer", "content": "so f(x) is 2, x is 0", "session_id": 11338, "sequence_id": 98, "annotations": []}
{"role": "student", "content": "a=1/2?", "session_id": 11338, "sequence_id": 99, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 11338, "sequence_id": 100, "annotations": []}
{"role": "student", "content": "okk", "session_id": 11338, "sequence_id": 101, "annotations": []}
{"role": "student", "content": "how do I get b again?", "session_id": 11338, "sequence_id": 102, "annotations": []}
{"role": "volunteer", "content": "Liam", "session_id": 11338, "sequence_id": 103, "annotations": [{"pii_type": "PERSON", "surrogate": "Liam", "start": 0, "end": 4}]}
{"role": "student", "content": "ohhh", "session_id": 11338, "sequence_id": 104, "annotations": []}
{"role": "volunteer", "content": "or just plug in h and k and multiply it out", "session_id": 11338, "sequence_id": 105, "annotations": []}
{"role": "student", "content": "4=-b/1", "session_id": 11338, "sequence_id": 106, "annotations": []}
{"role": "student", "content": "b=-4?", "session_id": 11338, "sequence_id": 107, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 11338, "sequence_id": 108, "annotations": []}
{"role": "volunteer", "content": "k is 2?", "session_id": 11338, "sequence_id": 109, "annotations": []}
{"role": "student", "content": "ohh no", "session_id": 11338, "sequence_id": 110, "annotations": []}
{"role": "student", "content": "-6", "session_id": 11338, "sequence_id": 111, "annotations": []}
{"role": "volunteer", "content": "oh, wait", "session_id": 11338, "sequence_id": 112, "annotations": []}
{"role": "student", "content": "wait", "session_id": 11338, "sequence_id": 113, "annotations": []}
{"role": "student", "content": "yes c is 2", "session_id": 11338, "sequence_id": 114, "annotations": []}
{"role": "student", "content": "did I do something wrong", "session_id": 11338, "sequence_id": 115, "annotations": []}
{"role": "student", "content": "a is 1/2?", "session_id": 11338, "sequence_id": 116, "annotations": []}
{"role": "student", "content": "huh", "session_id": 11338, "sequence_id": 117, "annotations": []}
{"role": "volunteer", "content": "oh, I was thinking a was -1/2", "session_id": 11338, "sequence_id": 118, "annotations": []}
{"role": "volunteer", "content": "c is 2. my mistake.", "session_id": 11338, "sequence_id": 119, "annotations": []}
{"role": "student", "content": "ohh its alright", "session_id": 11338, "sequence_id": 120, "annotations": []}
{"role": "volunteer", "content": "but is b +4?", "session_id": 11338, "sequence_id": 121, "annotations": []}
{"role": "student", "content": "?", "session_id": 11338, "sequence_id": 122, "annotations": []}
{"role": "student", "content": "I got -4", "session_id": 11338, "sequence_id": 123, "annotations": []}
{"role": "student", "content": "but h is 4?", "session_id": 11338, "sequence_id": 124, "annotations": []}
{"role": "student", "content": "not vertex", "session_id": 11338, "sequence_id": 125, "annotations": []}
{"role": "volunteer", "content": "oh, yeah", "session_id": 11338, "sequence_id": 126, "annotations": []}
{"role": "student", "content": "now d", "session_id": 11338, "sequence_id": 127, "annotations": []}
{"role": "student", "content": "I'm really confused on d", "session_id": 11338, "sequence_id": 128, "annotations": []}
{"role": "volunteer", "content": "quadratic formula", "session_id": 11338, "sequence_id": 129, "annotations": []}
{"role": "volunteer", "content": "will give you 2 roots, with + or - some square root", "session_id": 11338, "sequence_id": 130, "annotations": []}
{"role": "volunteer", "content": "+ is the greatest of the 2", "session_id": 11338, "sequence_id": 131, "annotations": []}
{"role": "volunteer", "content": "quadratic formula", "session_id": 11338, "sequence_id": 132, "annotations": []}
{"role": "volunteer", "content": "b^2-4ac inside radical?", "session_id": 11338, "sequence_id": 133, "annotations": []}
{"role": "volunteer", "content": "4 times 2 is ac", "session_id": 11338, "sequence_id": 134, "annotations": []}
{"role": "volunteer", "content": "4ac", "session_id": 11338, "sequence_id": 135, "annotations": []}
{"role": "student", "content": "yea", "session_id": 11338, "sequence_id": 136, "annotations": []}
{"role": "student", "content": "wait", "session_id": 11338, "sequence_id": 137, "annotations": []}
{"role": "volunteer", "content": "b^2-4ac", "session_id": 11338, "sequence_id": 138, "annotations": []}
{"role": "student", "content": "let me look at the formular", "session_id": 11338, "sequence_id": 139, "annotations": []}
{"role": "volunteer", "content": "which is larger, the plus or the minus?", "session_id": 11338, "sequence_id": 140, "annotations": []}
{"role": "student", "content": "+?", "session_id": 11338, "sequence_id": 141, "annotations": []}
{"role": "volunteer", "content": "2sqrt3 is a positive number", "session_id": 11338, "sequence_id": 142, "annotations": []}
{"role": "volunteer", "content": "so adding it is a bigger number than subtracting it", "session_id": 11338, "sequence_id": 143, "annotations": []}
{"role": "volunteer", "content": "what are p and q?", "session_id": 11338, "sequence_id": 144, "annotations": []}
{"role": "student", "content": "wait", "session_id": 11338, "sequence_id": 145, "annotations": []}
{"role": "student", "content": "I'm confused", "session_id": 11338, "sequence_id": 146, "annotations": []}
{"role": "volunteer", "content": "about?", "session_id": 11338, "sequence_id": 147, "annotations": []}
{"role": "student", "content": "p and q", "session_id": 11338, "sequence_id": 148, "annotations": []}
{"role": "student", "content": "p is 4", "session_id": 11338, "sequence_id": 149, "annotations": []}
{"role": "student", "content": "and q is 2?", "session_id": 11338, "sequence_id": 150, "annotations": []}
{"role": "volunteer", "content": "yeah", "session_id": 11338, "sequence_id": 151, "annotations": []}
{"role": "student", "content": "now question 4", "session_id": 11338, "sequence_id": 152, "annotations": []}
{"role": "student", "content": "5", "session_id": 11338, "sequence_id": 153, "annotations": []}
{"role": "student", "content": "hmm", "session_id": 11338, "sequence_id": 154, "annotations": []}
{"role": "student", "content": "wait", "session_id": 11338, "sequence_id": 155, "annotations": []}
{"role": "student", "content": "ohh", "session_id": 11338, "sequence_id": 156, "annotations": []}
{"role": "volunteer", "content": "find the y values for those x values", "session_id": 11338, "sequence_id": 157, "annotations": []}
{"role": "student", "content": "ok", "session_id": 11338, "sequence_id": 158, "annotations": []}
{"role": "student", "content": "wait", "session_id": 11338, "sequence_id": 159, "annotations": []}
{"role": "student", "content": "ohh", "session_id": 11338, "sequence_id": 160, "annotations": []}
{"role": "student", "content": "0", "session_id": 11338, "sequence_id": 161, "annotations": []}
{"role": "volunteer", "content": "you can also do y= x-1 to make sure your answer is correct", "session_id": 11338, "sequence_id": 162, "annotations": []}
{"role": "student", "content": "but if I did -2 I would get -2-1 which is -3?", "session_id": 11338, "sequence_id": 163, "annotations": []}
{"role": "volunteer", "content": "yeah", "session_id": 11338, "sequence_id": 164, "annotations": []}
{"role": "volunteer", "content": "that's a different point", "session_id": 11338, "sequence_id": 165, "annotations": []}
{"role": "student", "content": "huh", "session_id": 11338, "sequence_id": 166, "annotations": []}
{"role": "volunteer", "content": "line crosses the parabola at 2 points", "session_id": 11338, "sequence_id": 167, "annotations": []}
{"role": "volunteer", "content": "1 of them is (1, 0)", "session_id": 11338, "sequence_id": 168, "annotations": []}
{"role": "volunteer", "content": "the other one is (-2, -3)", "session_id": 11338, "sequence_id": 169, "annotations": []}
{"role": "student", "content": "oh", "session_id": 11338, "sequence_id": 170, "annotations": []}
{"role": "student", "content": "okayyy", "session_id": 11338, "sequence_id": 171, "annotations": []}
{"role": "volunteer", "content": "stop'", "session_id": 11338, "sequence_id": 172, "annotations": []}
{"role": "volunteer", "content": "put most of that back", "session_id": 11338, "sequence_id": 173, "annotations": []}
{"role": "volunteer", "content": "stop", "session_id": 11338, "sequence_id": 174, "annotations": []}
{"role": "volunteer", "content": "part b is >0", "session_id": 11338, "sequence_id": 175, "annotations": []}
{"role": "student", "content": "yes", "session_id": 11338, "sequence_id": 176, "annotations": []}
{"role": "volunteer", "content": "what happens when x is > 1?", "session_id": 11338, "sequence_id": 177, "annotations": []}
{"role": "volunteer", "content": "are both factors >0?", "session_id": 11338, "sequence_id": 178, "annotations": []}
{"role": "student", "content": "one is 0 and the other is >0", "session_id": 11338, "sequence_id": 179, "annotations": []}
{"role": "volunteer", "content": "what are the 2 intervals where it is + ?", "session_id": 11338, "sequence_id": 180, "annotations": []}
{"role": "student", "content": "-inf, 2 and 1, inf", "session_id": 11338, "sequence_id": 181, "annotations": []}
{"role": "student", "content": "?", "session_id": 11338, "sequence_id": 182, "annotations": []}
{"role": "volunteer", "content": "yeah", "session_id": 11338, "sequence_id": 183, "annotations": []}
{"role": "volunteer", "content": "put parens around them, connect them with OR, and you have the answer", "session_id": 11338, "sequence_id": 184, "annotations": []}
{"role": "volunteer", "content": "and only in between -2 and 1 is it negative", "session_id": 11338, "sequence_id": 185, "annotations": []}
{"role": "student", "content": "how can I write on paper? can you show me on board", "session_id": 11338, "sequence_id": 186, "annotations": []}
{"role": "volunteer", "content": "parabola crosses x-axis at -2, goes below for a little bit, then comes back up, hits axis at x=2, goes up from there", "session_id": 11338, "sequence_id": 187, "annotations": []}
{"role": "volunteer", "content": "we don't even have to write as intervals", "session_id": 11338, "sequence_id": 188, "annotations": []}
{"role": "student", "content": "ohhh Noah", "session_id": 11338, "sequence_id": 189, "annotations": [{"pii_type": "PERSON", "surrogate": "Noah", "start": 5, "end": 9}]}
{"role": "volunteer", "content": "oops, second \"hits axis is at x=1, not 2, in my statement above", "session_id": 11338, "sequence_id": 190, "annotations": []}
{"role": "student", "content": "?", "session_id": 11338, "sequence_id": 191, "annotations": []}
{"role": "volunteer", "content": "I said x=2 above", "session_id": 11338, "sequence_id": 192, "annotations": []}
{"role": "volunteer", "content": "parabola crosses x-axis at -2, goes below for a little bit, then comes back up, hits axis at x=2, goes up from there", "session_id": 11338, "sequence_id": 193, "annotations": []}
{"role": "student", "content": "ohh ok", "session_id": 11338, "sequence_id": 194, "annotations": []}
{"role": "student", "content": "I have one more section", "session_id": 11338, "sequence_id": 195, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 11338, "sequence_id": 196, "annotations": []}
{"role": "student", "content": "I'm a bit confused here", "session_id": 11338, "sequence_id": 197, "annotations": []}
{"role": "volunteer", "content": "parabola looks something like blue that I drew", "session_id": 11338, "sequence_id": 198, "annotations": []}
{"role": "volunteer", "content": "y=x+c are the purple lines for different values of c", "session_id": 11338, "sequence_id": 199, "annotations": []}
{"role": "volunteer", "content": "make c small enough (negative) and the line no longer crosses the parabola, right?", "session_id": 11338, "sequence_id": 200, "annotations": []}
{"role": "student", "content": "I definetely will not remember this on the test :(", "session_id": 11338, "sequence_id": 201, "annotations": []}
{"role": "volunteer", "content": "Is this a Texas exam?", "session_id": 11338, "sequence_id": 202, "annotations": [{"pii_type": "LOCATION", "surrogate": "Texas", "start": 10, "end": 15}]}
{"role": "student", "content": "yes", "session_id": 11338, "sequence_id": 203, "annotations": []}
{"role": "volunteer", "content": "odd, cause we don't use the word \"hence\" much", "session_id": 11338, "sequence_id": 204, "annotations": []}
{"role": "student", "content": "ohh lol", "session_id": 11338, "sequence_id": 205, "annotations": []}
{"role": "student", "content": "now 7", "session_id": 11338, "sequence_id": 206, "annotations": []}
{"role": "volunteer", "content": "for #7, instead of moving a line of slope 1 up and down by changing c until it no longer crosses the parabola, we have intercept of -3 and change the slope until it misses", "session_id": 11338, "sequence_id": 207, "annotations": []}
{"role": "volunteer", "content": "those 2 lines are tangent to parabola", "session_id": 11338, "sequence_id": 208, "annotations": []}
{"role": "volunteer", "content": "slope in between and the line crosses twice", "session_id": 11338, "sequence_id": 209, "annotations": []}
{"role": "volunteer", "content": "slop below the left line or right line misses", "session_id": 11338, "sequence_id": 210, "annotations": []}
{"role": "volunteer", "content": "did you combine the parabola and line into an equation first?", "session_id": 11338, "sequence_id": 211, "annotations": []}
{"role": "student", "content": "I used the one they gave", "session_id": 11338, "sequence_id": 212, "annotations": []}
{"role": "volunteer", "content": "part a says to show that", "session_id": 11338, "sequence_id": 213, "annotations": []}
{"role": "volunteer", "content": "did you do (a) ?", "session_id": 11338, "sequence_id": 214, "annotations": []}
{"role": "student", "content": "no", "session_id": 11338, "sequence_id": 215, "annotations": []}
{"role": "student", "content": "I'm lost sorry", "session_id": 11338, "sequence_id": 216, "annotations": []}
{"role": "volunteer", "content": "(b) is good", "session_id": 11338, "sequence_id": 217, "annotations": []}
{"role": "volunteer", "content": "you solved (b). where are you lost?", "session_id": 11338, "sequence_id": 218, "annotations": []}
{"role": "volunteer", "content": "are you here?", "session_id": 11338, "sequence_id": 219, "annotations": []}
{"role": "student", "content": "yes", "session_id": 11338, "sequence_id": 220, "annotations": []}
{"role": "student", "content": "sorry", "session_id": 11338, "sequence_id": 221, "annotations": []}
{"role": "student", "content": "I'm confused on a", "session_id": 11338, "sequence_id": 222, "annotations": []}
{"role": "volunteer", "content": "same thing you've been doing", "session_id": 11338, "sequence_id": 223, "annotations": []}
{"role": "student", "content": "ohhhh", "session_id": 11338, "sequence_id": 224, "annotations": []}
{"role": "volunteer", "content": "set the 2 x expressions equal to each other", "session_id": 11338, "sequence_id": 225, "annotations": []}
{"role": "student", "content": "Maya", "session_id": 11338, "sequence_id": 226, "annotations": [{"pii_type": "PERSON", "surrogate": "Maya", "start": 0, "end": 4}]}
{"role": "student", "content": "I'm stuck here", "session_id": 11338, "sequence_id": 227, "annotations": []}
{"role": "volunteer", "content": "you have -mx and -x", "session_id": 11338, "sequence_id": 228, "annotations": []}
{"role": "volunteer", "content": "factor out the x, put x at the end", "session_id": 11338, "sequence_id": 229, "annotations": []}
{"role": "volunteer", "content": "and factor out the -1", "session_id": 11338, "sequence_id": 230, "annotations": []}
{"role": "student", "content": "huh", "session_id": 11338, "sequence_id": 231, "annotations": []}
{"role": "student", "content": "I'm confused", "session_id": 11338, "sequence_id": 232, "annotations": []}
{"role": "volunteer", "content": "I factored out -x from both of those terms", "session_id": 11338, "sequence_id": 233, "annotations": []}
{"role": "volunteer", "content": "on the board", "session_id": 11338, "sequence_id": 234, "annotations": []}
{"role": "student", "content": "yes why is x on the outside now?", "session_id": 11338, "sequence_id": 235, "annotations": []}
{"role": "volunteer", "content": "see how -(m+1)x is the same as -mx-x ?", "session_id": 11338, "sequence_id": 236, "annotations": []}
{"role": "volunteer", "content": "cause I factored it out of 2 terms that both had x as a factor", "session_id": 11338, "sequence_id": 237, "annotations": []}
{"role": "volunteer", "content": "factored out greatest common factor, which was -x", "session_id": 11338, "sequence_id": 238, "annotations": []}
{"role": "student", "content": "why not -x?", "session_id": 11338, "sequence_id": 239, "annotations": []}
{"role": "student", "content": "why - on one side", "session_id": 11338, "sequence_id": 240, "annotations": []}
{"role": "student", "content": "and x on the end", "session_id": 11338, "sequence_id": 241, "annotations": []}
{"role": "volunteer", "content": "cause that's why you write stuff", "session_id": 11338, "sequence_id": 242, "annotations": []}
{"role": "volunteer", "content": "+/-sign, then coefficient, then variable", "session_id": 11338, "sequence_id": 243, "annotations": []}
{"role": "student", "content": "you can just do -x(m+1)?", "session_id": 11338, "sequence_id": 244, "annotations": []}
{"role": "volunteer", "content": "same thing", "session_id": 11338, "sequence_id": 245, "annotations": []}
{"role": "volunteer", "content": "but we write coefficient in front of variable, like they gave you in (a)", "session_id": 11338, "sequence_id": 246, "annotations": []}
{"role": "student", "content": "why did a give us the answer?", "session_id": 11338, "sequence_id": 247, "annotations": []}
{"role": "volunteer", "content": "they just want you to show your work on how to get there", "session_id": 11338, "sequence_id": 248, "annotations": []}
{"role": "volunteer", "content": "do you write 2x or x2?", "session_id": 11338, "sequence_id": 249, "annotations": []}
{"role": "student", "content": "2x", "session_id": 11338, "sequence_id": 250, "annotations": []}
{"role": "volunteer", "content": "yeah, x goes last", "session_id": 11338, "sequence_id": 251, "annotations": []}
{"role": "student", "content": "but we are factoring out that's different", "session_id": 11338, "sequence_id": 252, "annotations": []}
{"role": "student", "content": "if I factor out 2x from (2x^2+8x+4)", "session_id": 11338, "sequence_id": 253, "annotations": []}
{"role": "volunteer", "content": "so start with -x(m+1)", "session_id": 11338, "sequence_id": 254, "annotations": []}
{"role": "student", "content": "its 2x(x+4x+2)", "session_id": 11338, "sequence_id": 255, "annotations": []}
{"role": "volunteer", "content": "you can't factor 2x from that", "session_id": 11338, "sequence_id": 256, "annotations": []}
{"role": "student", "content": "well that was just an example", "session_id": 11338, "sequence_id": 257, "annotations": []}
{"role": "student", "content": "lets say it was 4x^3", "session_id": 11338, "sequence_id": 258, "annotations": []}
{"role": "volunteer", "content": "ditch the +4", "session_id": 11338, "sequence_id": 259, "annotations": []}
{"role": "student", "content": "and 8x^2", "session_id": 11338, "sequence_id": 260, "annotations": []}
{"role": "student", "content": "and 4x^2", "session_id": 11338, "sequence_id": 261, "annotations": []}
{"role": "student", "content": "I would just take out both terms together", "session_id": 11338, "sequence_id": 262, "annotations": []}
{"role": "student", "content": "I'm just lost why they seperated them", "session_id": 11338, "sequence_id": 263, "annotations": []}
{"role": "volunteer", "content": "2x^2+8x=2x(x+4)", "session_id": 11338, "sequence_id": 264, "annotations": []}
{"role": "volunteer", "content": "2x and x+4 both contain x", "session_id": 11338, "sequence_id": 265, "annotations": []}
{"role": "volunteer", "content": "neither one is a coefficient", "session_id": 11338, "sequence_id": 266, "annotations": []}
{"role": "volunteer", "content": "-mx-x=-x(m-+1)", "session_id": 11338, "sequence_id": 267, "annotations": []}
{"role": "volunteer", "content": "but when you multiply 3 things together, you can change the order", "session_id": 11338, "sequence_id": 268, "annotations": []}
{"role": "volunteer", "content": "(m+1) is a number, so you typically write that before x", "session_id": 11338, "sequence_id": 269, "annotations": []}
{"role": "volunteer", "content": "and -1 is written as a minus sign, and you put it in front so you don't have to write (-1)", "session_id": 11338, "sequence_id": 270, "annotations": []}
{"role": "volunteer", "content": "so -x(m+1) is written as -(m+1)x", "session_id": 11338, "sequence_id": 271, "annotations": []}
{"role": "volunteer", "content": "it's just notation", "session_id": 11338, "sequence_id": 272, "annotations": []}
{"role": "student", "content": "are we done with b ?", "session_id": 11338, "sequence_id": 273, "annotations": []}
{"role": "volunteer", "content": "yes, and I'm out of time", "session_id": 11338, "sequence_id": 274, "annotations": []}
{"role": "student", "content": "r u sure that's the answer?", "session_id": 11338, "sequence_id": 275, "annotations": []}
{"role": "student", "content": "don't we have to further the radical", "session_id": 11338, "sequence_id": 276, "annotations": []}
{"role": "volunteer", "content": "oh, one last step", "session_id": 11338, "sequence_id": 277, "annotations": []}
{"role": "volunteer", "content": "you need to subtract the 1", "session_id": 11338, "sequence_id": 278, "annotations": []}
{"role": "volunteer", "content": "you can simplify the radical", "session_id": 11338, "sequence_id": 279, "annotations": []}
{"role": "volunteer", "content": "done now", "session_id": 11338, "sequence_id": 280, "annotations": []}
{"role": "student", "content": "okk", "session_id": 11338, "sequence_id": 281, "annotations": []}
{"role": "student", "content": "thank youu", "session_id": 11338, "sequence_id": 282, "annotations": []}
{"role": "volunteer", "content": "yw", "session_id": 11338, "sequence_id": 283, "annotations": []}
{"role": "volunteer", "content": "bye", "session_id": 11338, "sequence_id": 284, "annotations": []}
{"role": "student", "content": "Alrighty", "session_id": 11382, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "Back to d", "session_id": 11382, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "yes lets navigate it now", "session_id": 11382, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "do u still have the link", "session_id": 11382, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 11382, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "kk", "session_id": 11382, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "no", "session_id": 11382, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "its the 6a^2 one", "session_id": 11382, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "so the gcf for the first one is 2a and the second one is 5?", "session_id": 11382, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 11382, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "you pair in 2 groups", "session_id": 11382, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "ok now obj 11", "session_id": 11382, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "have you understood that and can you do it comfortably", "session_id": 11382, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "mhm that part yes i finished", "session_id": 11382, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "great ,so which number inquiz 22", "session_id": 11382, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "so lets do a", "session_id": 11382, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "Ok holdon", "session_id": 11382, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "wait no", "session_id": 11382, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "i said obj 11 a", "session_id": 11382, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "ok,clean the board please", "session_id": 11382, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "thats right ?", "session_id": 11382, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "done", "session_id": 11382, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "how fast ?", "session_id": 11382, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "whats your answer", "session_id": 11382, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "so we find 2 numbers that multiply to 20 and add to -9", "session_id": 11382, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "solved that one", "session_id": 11382, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "now b", "session_id": 11382, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "so the two numbers are -4 and -5 therefor the answer is that", "session_id": 11382, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "ill need help solving b", "session_id": 11382, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "have you found the same answer?", "session_id": 11382, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "yes", "session_id": 11382, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "no its t^2", "session_id": 11382, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "not 2t^2", "session_id": 11382, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "so here we need two numbers that multiply to -42 and add to -1", "session_id": 11382, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "hiiiii", "session_id": 12346, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "hey :)", "session_id": 12346, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "what do you need help with?", "session_id": 12346, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "just wanted to talk ;0", "session_id": 12346, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "Okay. What did you want to talk about?", "session_id": 12346, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "you", "session_id": 12346, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "I'm currently in school", "session_id": 12346, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "oh ok ok how old are u", "session_id": 12346, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "I'm 18", "session_id": 12346, "sequence_id": 8, "annotations": [{"pii_type": "AGE", "surrogate": "18", "start": 4, "end": 6}]}
{"role": "student", "content": "wowwww", "session_id": 12346, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "geuss how old i am", "session_id": 12346, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "About 15 or 16", "session_id": 12346, "sequence_id": 11, "annotations": [{"pii_type": "AGE", "surrogate": "15 or 16", "start": 6, "end": 14}]}
{"role": "student", "content": "yes", "session_id": 12346, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "Hello! How can I help", "session_id": 14328, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "Hi! I need a bit help with some questions", "session_id": 14328, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "sure!", "session_id": 14328, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "so would i turn 0.4 kg into grams", "session_id": 14328, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "yes you can do that", "session_id": 14328, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "thats 400 grams", "session_id": 14328, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "would i multiply times 4?", "session_id": 14328, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "just a sec let me think about this for a min", "session_id": 14328, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "kk", "session_id": 14328, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "okay yess that would be correct", "session_id": 14328, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "what's 400 x 4", "session_id": 14328, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "1600", "session_id": 14328, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "yep! that's your answer. 1600 grams", "session_id": 14328, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "do you know stats? bc this next problem is stats related", "session_id": 14328, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "if not, it's fine!", "session_id": 14328, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "Howdy !", "session_id": 14476, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "hi", "session_id": 14476, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "i wanted to get some practice done for my precalc test", "session_id": 14476, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "Okey dokey.", "session_id": 14476, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "Wanna post a sample problem?", "session_id": 14476, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "i would but my teacher removed the homework so i cant get any of the questions", "session_id": 14476, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "So ???", "session_id": 14476, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "but its about function, function notation, graphing common functions, domain and range, piecewise function, rates of change, and behavior of graphs", "session_id": 14476, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "So, we could spend 1/2 hour on each of those topics.", "session_id": 14476, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "Anything more specific you wanna focus on?", "session_id": 14476, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "ok bc i gtg around 10", "session_id": 14476, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "Not understanding your last message...", "session_id": 14476, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "definitlry behavior of graphs and domain and range piece wise functions mostly drawing the graph", "session_id": 14476, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "like around 10 i have to go", "session_id": 14476, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "Meaning 10 pm ???  Like in 21 minutes?", "session_id": 14476, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "yea", "session_id": 14476, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "Okay.", "session_id": 14476, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "So let's discuss domain and range then briefly, okay?", "session_id": 14476, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "See that picture I just drew?", "session_id": 14476, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "yes", "session_id": 14476, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "So, starting from left to right, we take an x value (from the domain) and run it thru the function which is typically notated as f(x) = something or y = something.", "session_id": 14476, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "This something can be anything, but it typically some sort of algebraic manipulation like I just drew (squaring the number and then adding 4).", "session_id": 14476, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "Okay so far?", "session_id": 14476, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "yes", "session_id": 14476, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "Okay, so regarding the domain (the allowed values of x in this example), you normally can allow x to be anything, except...", "session_id": 14476, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "1. Something that gives you division by zero.", "session_id": 14476, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "so -4 is not allowed?", "session_id": 14476, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "2. Something that gives you the square root of a negative number.", "session_id": 14476, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "3. Logarithm of a negative number", "session_id": 14476, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "4. Some other goofy thing (like a trig function).", "session_id": 14476, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "so all of these are not allowed in a domain?", "session_id": 14476, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "So to answer your question, -4 is allowed in this example.  Let me get to that...", "session_id": 14476, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "oh ok", "session_id": 14476, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "So in the example, y = f(x) = x squared + 4.", "session_id": 14476, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "Are there any square root signs, or divisions by zero, or logarithms that you need to worry about?", "session_id": 14476, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "no", "session_id": 14476, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": ":-)", "session_id": 14476, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "Correct, so x can be anything.", "session_id": 14476, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "just not 0 right", "session_id": 14476, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "It can be zero.", "session_id": 14476, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "Then y = 4.", "session_id": 14476, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "Let me draw a quick picture of this graph.", "session_id": 14476, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "ok", "session_id": 14476, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "Sorry for the picture.", "session_id": 14476, "sequence_id": 43, "annotations": []}
{"role": "student", "content": "its ok so its a quadratic with 4 units up", "session_id": 14476, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "Yup.", "session_id": 14476, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "And x (as  you go left and right) can be any value, right?", "session_id": 14476, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "yes so like in this problem can i be infintity", "session_id": 14476, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "Yep.", "session_id": 14476, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "The domain in this example is negative infinity to positive infinity.", "session_id": 14476, "sequence_id": 49, "annotations": []}
{"role": "student", "content": "ohhhh ok i get it", "session_id": 14476, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "Cool beans.", "session_id": 14476, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "and the would be (4, positive infinity) right", "session_id": 14476, "sequence_id": 52, "annotations": []}
{"role": "student", "content": "range", "session_id": 14476, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "Yup.", "session_id": 14476, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "You got this !", "session_id": 14476, "sequence_id": 55, "annotations": []}
{"role": "student", "content": "ohhhh ok", "session_id": 14476, "sequence_id": 56, "annotations": []}
{"role": "student", "content": "ok can we move on to piecewise functions specifically reading them and writing them too", "session_id": 14476, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "Yep.", "session_id": 14476, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "Can I erase now?", "session_id": 14476, "sequence_id": 59, "annotations": []}
{"role": "student", "content": "im worried that might pop up on the test", "session_id": 14476, "sequence_id": 60, "annotations": []}
{"role": "student", "content": "yes", "session_id": 14476, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "So here we have a two piece-wise function.", "session_id": 14476, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "Meaning that that are two functions, depending on where you are on the x axis.", "session_id": 14476, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "Okay so far?", "session_id": 14476, "sequence_id": 64, "annotations": []}
{"role": "student", "content": "yes", "session_id": 14476, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "So, in this example, there are just two different functions split into two different domains, so to say.", "session_id": 14476, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "But you could have 3 different ones, 4 different ones, and so on...", "session_id": 14476, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "Okay?", "session_id": 14476, "sequence_id": 68, "annotations": []}
{"role": "student", "content": "so we can have different domains on the same graph?", "session_id": 14476, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "Yup.", "session_id": 14476, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "Let me graph this pooch.", "session_id": 14476, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "Sorry again for my poor picture drawing...", "session_id": 14476, "sequence_id": 72, "annotations": []}
{"role": "student", "content": "its ok", "session_id": 14476, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "So the graph is a parabola to the \"left\" and a line to the \"right\" of the x = 0 line.", "session_id": 14476, "sequence_id": 74, "annotations": []}
{"role": "volunteer", "content": "It's piece-wise.", "session_id": 14476, "sequence_id": 75, "annotations": []}
{"role": "student", "content": "so were following whats in the parsentces to follow the domain?", "session_id": 14476, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "Yes.", "session_id": 14476, "sequence_id": 77, "annotations": []}
{"role": "student", "content": "ok i see it now", "session_id": 14476, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": ":-)", "session_id": 14476, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "It's essentially saying \"between these x values, the graph looks like this\", but \"between these other x values, the graph looks different, like this..\".", "session_id": 14476, "sequence_id": 80, "annotations": []}
{"role": "student", "content": "ohhh ok", "session_id": 14476, "sequence_id": 81, "annotations": []}
{"role": "volunteer", "content": "Easy peasy, right?", "session_id": 14476, "sequence_id": 82, "annotations": []}
{"role": "student", "content": "yes", "session_id": 14476, "sequence_id": 83, "annotations": []}
{"role": "volunteer", "content": "Well, it's almost 10 o'clock so best of luck to you fellow human !!!", "session_id": 14476, "sequence_id": 84, "annotations": []}
{"role": "student", "content": "fellow human? arent you human too", "session_id": 14476, "sequence_id": 85, "annotations": []}
{"role": "volunteer", "content": "Yes, we both are !!!", "session_id": 14476, "sequence_id": 86, "annotations": []}
{"role": "student", "content": "oooo cool well thank you again", "session_id": 14476, "sequence_id": 87, "annotations": []}
{"role": "volunteer", "content": "Cut from the same cloth.", "session_id": 14476, "sequence_id": 88, "annotations": []}
{"role": "volunteer", "content": "Take care and good luck.", "session_id": 14476, "sequence_id": 89, "annotations": []}
{"role": "volunteer", "content": "Hi how are you!", "session_id": 1349, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "I\u2019m good how are u?", "session_id": 1349, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "How can i help!", "session_id": 1349, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "Desmos", "session_id": 1349, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "I need help with this question that I\u2019m gonna have on my math text tomorrow ", "session_id": 1349, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "Do they let you use Desmos here?", "session_id": 1349, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "Desmos *", "session_id": 1349, "sequence_id": 6, "annotations": []}
{"role": "student", "content": " I\u2019m not sure", "session_id": 1349, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "Alr no worries we can do this problem without desmos just to be safe", "session_id": 1349, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "First let\u2019s kind of draw out the axis so we can have an idea of what we\u2019re gonna look at", "session_id": 1349, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "So we know that the x axis is distance and the y axis is the hoeght of the ball so lets keep that in mind. Let\u2019s take a look at the first equation in black, what form is it in, standard of vertex form?", "session_id": 1349, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "Is it in vertex form", "session_id": 1349, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "Yes it is nice! So we know it\u2019s in vertex form, and like the name implies, the vertex form is most useful to find the vertex of the graph. Do you know how to find the vertex of that graph? If not its fine", "session_id": 1349, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "Wouldn\u2019t it just be the highest point on the graph?", "session_id": 1349, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "In this case yes it would be! It depends on whether the U-shape opens up or down. But in this case it would in fact be the highest point like you said. So now how do we find the exact point of the vertex based on the equation?", "session_id": 1349, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "By using the h and k l think? ", "session_id": 1349, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "Yesss exactly nice", "session_id": 1349, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "What\u2019s h and k for this equation then?", "session_id": 1349, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "Is it 5.5 and 6", "session_id": 1349, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "Perfect!", "session_id": 1349, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "Let\u2019s draw that then", "session_id": 1349, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "So now we know the vertex of that graph, what else do we know about it. How should it look", "session_id": 1349, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "Go ahead and try drawing it for me", "session_id": 1349, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "Would it be like that?", "session_id": 1349, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "Yea nice! Good job realizing it opens down, which is because the number in front of the parenthesis is negative", "session_id": 1349, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "Alright cool, now let\u2019s try finding the highest point in other graph. Which form would that function be in?", "session_id": 1349, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "That\u2019s always the first thing u gotta ask yourself, what form is it in", "session_id": 1349, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "Is it in standard form", "session_id": 1349, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "Yes nice. So now do you know how to find the vertex in standard form", "session_id": 1349, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "There\u2019s a trick u need to remember for it", "session_id": 1349, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "Would you need to foil it?", "session_id": 1349, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "Not exactly, since we dont have two things multiplying each other there\u2019s no need to foil.", "session_id": 1349, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "So the trick is", "session_id": 1349, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "The x value of your vertex is going to -b/2a", "session_id": 1349, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "Have you ever seen that before?", "session_id": 1349, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "Nope", "session_id": 1349, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "I wrote it for you at the bottom", "session_id": 1349, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "Okay", "session_id": 1349, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "It\u2019s worth memorizing because with that little formula u can find the vertex in standard form", "session_id": 1349, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "In this case, do you know what b and a would be?", "session_id": 1349, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "I\u2019m not sure ", "session_id": 1349, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "So remember that every quadratic in standard form looks like what I wrote in the bottom. Try to compare it to the actual equation you have in the problem.  \u201cA\u201d is gonna be the number in front of x^2 and b is the number in front of x, and c is the number that doesnt have any x attached to it", "session_id": 1349, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "Oh okay so b is 5.5 and 2a is -0.2 correct?", "session_id": 1349, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "Oh careful, we\u2019re looking at the other equation now that i circled in blue", "session_id": 1349, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "Because we found the vertex of the one i circled in black already, now we\u2019re moving on to the other equation", "session_id": 1349, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "Ohh okay so b is 5.4 and 2a is 0.15", "session_id": 1349, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "Super close! Your right about b being 5.4,BUT a is just -0.15, not 2a. Once you know a (which is -0.15) then u can multiply it by 2 and put it into the formula", "session_id": 1349, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "So whats 2 times -0.15", "session_id": 1349, "sequence_id": 47, "annotations": []}
{"role": "student", "content": "-0.3", "session_id": 1349, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "Good! So now whats -5.4 divided by -0.3", "session_id": 1349, "sequence_id": 49, "annotations": []}
{"role": "student", "content": "18", "session_id": 1349, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "Good!", "session_id": 1349, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "So we just found the x value of the vertex only, we are still missing to find the y value of the vertex", "session_id": 1349, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "So what we\u2019re going to do now is \u201cplug in\u201d the 18 we just found into our original equation. SO wherever you see an x, replace it with 18 and then simplify it", "session_id": 1349, "sequence_id": 53, "annotations": []}
{"role": "student", "content": "Okay", "session_id": 1349, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "So go ahead and try that and tell me what you get for y", "session_id": 1349, "sequence_id": 55, "annotations": []}
{"role": "student", "content": "Okay", "session_id": 1349, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "Def need a calculator for that tho", "session_id": 1349, "sequence_id": 57, "annotations": []}
{"role": "student", "content": "Okay l don\u2019t know if l did it right but l got -48.6", "session_id": 1349, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "Hmmm i got positive 48.6, I think you added an extra negative sign somewhere maybe", "session_id": 1349, "sequence_id": 59, "annotations": []}
{"role": "student", "content": "I\u2019m not sure l jsut put -0.15", "session_id": 1349, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "It definitely has to be positive, because remember the original question is talking about kicking a soccer ball upwards, so it wouldn\u2019t make sense for it to be -48.6 feet below the ground at the highest point. But its not a big deal probably just a calculator mixup", "session_id": 1349, "sequence_id": 61, "annotations": []}
{"role": "student", "content": "Ohh okay got it", "session_id": 1349, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "Okay cool so now we have the x and y for the vertex for the second equation", "session_id": 1349, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "Let\u2019s try graphing that on our table", "session_id": 1349, "sequence_id": 64, "annotations": []}
{"role": "student", "content": "Okay", "session_id": 1349, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "Should look something like that. But now we have enough information to answer the first question. Looking at the two graphs, which soccer ball went higher?", "session_id": 1349, "sequence_id": 66, "annotations": []}
{"role": "student", "content": "I\u2019m sorry but I\u2019m not seeing the second graph", "session_id": 1349, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "Oh i drew it next to the first one we drew, is it not there for you?", "session_id": 1349, "sequence_id": 68, "annotations": []}
{"role": "student", "content": "Nope it\u2019s not ", "session_id": 1349, "sequence_id": 69, "annotations": []}
{"role": "student", "content": "Oh wait l just got it now", "session_id": 1349, "sequence_id": 70, "annotations": []}
{"role": "student", "content": "It took a second to load I guess", "session_id": 1349, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "Ok ok nice", "session_id": 1349, "sequence_id": 72, "annotations": []}
{"role": "student", "content": "Okay so the second one is bigger", "session_id": 1349, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "Yes! So we can say for sure that the second soccer ball was kicked higher", "session_id": 1349, "sequence_id": 74, "annotations": []}
{"role": "volunteer", "content": "That\u2019s part one done", "session_id": 1349, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "Any questions so far?", "session_id": 1349, "sequence_id": 76, "annotations": []}
{"role": "student", "content": "Nope ", "session_id": 1349, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "Alr cool let\u2019s move on to part two. They tell us which was kicked the farthest before it hit the ground. Let\u2019s think about that before we start solving. If it hits the ground, what should the height be?", "session_id": 1349, "sequence_id": 78, "annotations": []}
{"role": "student", "content": "Would it not just be 0 or like in the negatives?", "session_id": 1349, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "It would be 0 exactly!", "session_id": 1349, "sequence_id": 80, "annotations": []}
{"role": "volunteer", "content": "So we know that when it hits the ground the height is gonna be 0. Remember tho that they told us that the y axis represents the height. So really they\u2019re telling us that y=0, when they say it hits the ground. Does that make sense?", "session_id": 1349, "sequence_id": 81, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 1349, "sequence_id": 82, "annotations": []}
{"role": "volunteer", "content": "Okay nice, so now we know that y=0, but they want us to find how far it was kicked when it hits the ground. Remember that they said the x axis represents distance. SO what they\u2019re saying with that word problem is \u201cfind x when y=0 for the two graphs and see which x is bigger for the both\u201d . Do you see what I\u2019m saying", "session_id": 1349, "sequence_id": 83, "annotations": []}
{"role": "student", "content": "Yes got it", "session_id": 1349, "sequence_id": 84, "annotations": []}
{"role": "volunteer", "content": "Okay perfect thats the hard part here, just figuring out what they are talking about", "session_id": 1349, "sequence_id": 85, "annotations": []}
{"role": "volunteer", "content": "Now let\u2019s actually solve it", "session_id": 1349, "sequence_id": 86, "annotations": []}
{"role": "volunteer", "content": "For the first equation circled in black, we are gonna plug in 0 for y and solve for x", "session_id": 1349, "sequence_id": 87, "annotations": []}
{"role": "student", "content": "Okay", "session_id": 1349, "sequence_id": 88, "annotations": []}
{"role": "volunteer", "content": "I started writing it our for u in the bottom, can you try to solve for x from there?", "session_id": 1349, "sequence_id": 89, "annotations": []}
{"role": "student", "content": "Okay I\u2019ll try ", "session_id": 1349, "sequence_id": 90, "annotations": []}
{"role": "student", "content": "So you want me to write on there right!", "session_id": 1349, "sequence_id": 91, "annotations": []}
{"role": "volunteer", "content": "Yes! So i can see how ur work looks", "session_id": 1349, "sequence_id": 92, "annotations": []}
{"role": "student", "content": "Okay", "session_id": 1349, "sequence_id": 93, "annotations": []}
{"role": "volunteer", "content": "Or if u want, cuz it might be hard to write on the screen u can do it on paper and just tell me what u get", "session_id": 1349, "sequence_id": 94, "annotations": []}
{"role": "volunteer", "content": "Just lmk if u get stuck", "session_id": 1349, "sequence_id": 95, "annotations": []}
{"role": "student", "content": "Okay", "session_id": 1349, "sequence_id": 96, "annotations": []}
{"role": "student", "content": "Okay I\u2019m getting stuck at a certain part", "session_id": 1349, "sequence_id": 97, "annotations": []}
{"role": "volunteer", "content": "Did u get up to the part i wrote at the bottom", "session_id": 1349, "sequence_id": 98, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 1349, "sequence_id": 99, "annotations": []}
{"role": "volunteer", "content": "Okay perfect whats the next step here", "session_id": 1349, "sequence_id": 100, "annotations": []}
{"role": "volunteer", "content": "There\u2019s only one thing u can do from this point", "session_id": 1349, "sequence_id": 101, "annotations": []}
{"role": "volunteer", "content": "It\u2019s fine if u dont know as well!!", "session_id": 1349, "sequence_id": 102, "annotations": []}
{"role": "student", "content": "Would you do 5.5 squared ", "session_id": 1349, "sequence_id": 103, "annotations": []}
{"role": "volunteer", "content": "So we cant just do 5.5 squared, because really what they square outside the parenthesis is saying is this: (x-5.5)(x-5.5). NOT (x^2-5.5^2). So we cant do anything inside that paranthesis", "session_id": 1349, "sequence_id": 104, "annotations": []}
{"role": "volunteer", "content": "What we need to do is take the square root of both sides to get rid of that ^2 on the right side so THEN, we can solve for x. Because right now we cant touch anything inside the parenthesis", "session_id": 1349, "sequence_id": 105, "annotations": []}
{"role": "student", "content": "Oh okay", "session_id": 1349, "sequence_id": 106, "annotations": []}
{"role": "volunteer", "content": "What\u2019s the square root of 30? Try it on ur calculator", "session_id": 1349, "sequence_id": 107, "annotations": []}
{"role": "student", "content": "5.4", "session_id": 1349, "sequence_id": 108, "annotations": []}
{"role": "volunteer", "content": "So last step, what does x equal", "session_id": 1349, "sequence_id": 109, "annotations": []}
{"role": "student", "content": "5.4 I think", "session_id": 1349, "sequence_id": 110, "annotations": []}
{"role": "volunteer", "content": "Careful, after we took the square root of both sides i have 5.4=x-5.5, so i needed to ADD 5.5 to both sides to get x by itself.", "session_id": 1349, "sequence_id": 111, "annotations": []}
{"role": "volunteer", "content": "U can see my work right?", "session_id": 1349, "sequence_id": 112, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 1349, "sequence_id": 113, "annotations": []}
{"role": "volunteer", "content": "Ok ok good. So does that make sense then? What would x equa;", "session_id": 1349, "sequence_id": 114, "annotations": []}
{"role": "student", "content": "Uhm is it 10.9 because wouldn\u2019t you do 5.4+5.5", "session_id": 1349, "sequence_id": 115, "annotations": []}
{"role": "volunteer", "content": "Yessss nice", "session_id": 1349, "sequence_id": 116, "annotations": []}
{"role": "volunteer", "content": "Okay cool so now we know that for the first soccer ball it went 10.9 feet when it hit the ground", "session_id": 1349, "sequence_id": 117, "annotations": []}
{"role": "volunteer", "content": "Now we have to do the same thing for the second equation. Set y=0 and then solve for x", "session_id": 1349, "sequence_id": 118, "annotations": []}
{"role": "student", "content": "Okay", "session_id": 1349, "sequence_id": 119, "annotations": []}
{"role": "volunteer", "content": "Okay so since this one is in a different form (now standard form, not vertex form) we need to solve it a little bit differently", "session_id": 1349, "sequence_id": 120, "annotations": []}
{"role": "volunteer", "content": "How do you think we should solve for x here", "session_id": 1349, "sequence_id": 121, "annotations": []}
{"role": "student", "content": "Would we use quad form?", "session_id": 1349, "sequence_id": 122, "annotations": []}
{"role": "volunteer", "content": "We definitely could!", "session_id": 1349, "sequence_id": 123, "annotations": []}
{"role": "volunteer", "content": "But in my opinion thats the long way", "session_id": 1349, "sequence_id": 124, "annotations": []}
{"role": "volunteer", "content": "I was thinking we could factor!", "session_id": 1349, "sequence_id": 125, "annotations": []}
{"role": "volunteer", "content": "Do you know how we could factor here?", "session_id": 1349, "sequence_id": 126, "annotations": []}
{"role": "volunteer", "content": "Think about what do all of the terms on the right side have in common", "session_id": 1349, "sequence_id": 127, "annotations": []}
{"role": "student", "content": "They both have x", "session_id": 1349, "sequence_id": 128, "annotations": []}
{"role": "volunteer", "content": "Perfect! Since they both have an x, we can \u201cfactor out\u201d and x", "session_id": 1349, "sequence_id": 129, "annotations": []}
{"role": "volunteer", "content": "Do u have any questions on what I wrote there? Does it make sense how i got to that equation", "session_id": 1349, "sequence_id": 130, "annotations": []}
{"role": "student", "content": "Wait l jsut have one question ", "session_id": 1349, "sequence_id": 131, "annotations": []}
{"role": "student", "content": "Why would x be outisde the bracket wouldn\u2019t it just go away entirely?", "session_id": 1349, "sequence_id": 132, "annotations": []}
{"role": "volunteer", "content": "Good question! So we cant get rid of it entirely, because then we would be changing the equation it self, all were doing it taking it out and putting it outside of the paranthesis. Which doesnt change the equation itself because when you distribute that x into the paranthesis again, you get to where you were before", "session_id": 1349, "sequence_id": 133, "annotations": []}
{"role": "volunteer", "content": "If we just got rid of the x, we would be changing the equation, because remember, what you do to one side of the equation, you need to do to the other side, but since the other side doesnt have an x, we cant just get rid of x on the right side, because we can\u2019t get rid on an x on the left side", "session_id": 1349, "sequence_id": 134, "annotations": []}
{"role": "volunteer", "content": "Does that make sense/answer your question?", "session_id": 1349, "sequence_id": 135, "annotations": []}
{"role": "student", "content": "Yes thank u", "session_id": 1349, "sequence_id": 136, "annotations": []}
{"role": "volunteer", "content": "Ok ok nice", "session_id": 1349, "sequence_id": 137, "annotations": []}
{"role": "volunteer", "content": "So cool now that we factored out the x, do you know what to do from there?", "session_id": 1349, "sequence_id": 138, "annotations": []}
{"role": "student", "content": "Would we add what is inside the bracket", "session_id": 1349, "sequence_id": 139, "annotations": []}
{"role": "volunteer", "content": "Careful, we cant add them because one has an x, and the other one does not. We can\u2019t only combine things when they are like terms (when they BOTH have an x, or they BOTH dont)", "session_id": 1349, "sequence_id": 140, "annotations": []}
{"role": "volunteer", "content": "What we need to do now is set both factors equal to zero. Have you ever seen that before?", "session_id": 1349, "sequence_id": 141, "annotations": []}
{"role": "student", "content": "Nope", "session_id": 1349, "sequence_id": 142, "annotations": []}
{"role": "volunteer", "content": "Ok ok", "session_id": 1349, "sequence_id": 143, "annotations": []}
{"role": "volunteer", "content": "Have you ever done like normal factoring of a quadratic? Something like x^2+2x+4 or something", "session_id": 1349, "sequence_id": 144, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 1349, "sequence_id": 145, "annotations": []}
{"role": "volunteer", "content": "Okay this is the same deal. So in something like that, we need to put it into a form like (x+2)(x+2)=0", "session_id": 1349, "sequence_id": 146, "annotations": []}
{"role": "volunteer", "content": "Does that look familiar", "session_id": 1349, "sequence_id": 147, "annotations": []}
{"role": "student", "content": "Yes ", "session_id": 1349, "sequence_id": 148, "annotations": []}
{"role": "volunteer", "content": "Ben so from there we set (x+2)=0 and (x+2)=0, we need to set BOTH factors equal to zero, because if you dont then your missing out on one of your answers. Here is the same thing, expect instead of a second paranthesis we just have x, but it doesnt matter you still need to set that equal to 0, along with your other paranthesis", "session_id": 1349, "sequence_id": 149, "annotations": [{"pii_type": "PERSON", "surrogate": "Ben", "start": 0, "end": 3}]}
{"role": "volunteer", "content": "Does that make sense?", "session_id": 1349, "sequence_id": 150, "annotations": []}
{"role": "student", "content": "Yes I\u2019m pretty sure", "session_id": 1349, "sequence_id": 151, "annotations": []}
{"role": "volunteer", "content": "Just remember that when your solving for x into standard form, you need to set both of your factors equal to zero. That\u2019s just a rule you need to know", "session_id": 1349, "sequence_id": 152, "annotations": []}
{"role": "volunteer", "content": "So can you solve the equation in blue for x? Like what does x equal", "session_id": 1349, "sequence_id": 153, "annotations": []}
{"role": "student", "content": "Okay", "session_id": 1349, "sequence_id": 154, "annotations": []}
{"role": "student", "content": "Does it equal 5.55", "session_id": 1349, "sequence_id": 155, "annotations": []}
{"role": "volunteer", "content": "Did you do the steps that i have there?", "session_id": 1349, "sequence_id": 156, "annotations": []}
{"role": "student", "content": "No l missed one of them", "session_id": 1349, "sequence_id": 157, "annotations": []}
{"role": "volunteer", "content": "First we want to subtract both sides by 5.4, and THEN we can divide by -0.15, to get x alone", "session_id": 1349, "sequence_id": 158, "annotations": []}
{"role": "volunteer", "content": "Alr alr no worries", "session_id": 1349, "sequence_id": 159, "annotations": []}
{"role": "volunteer", "content": "So in ur calculator what is -5.4 divided by -0.15", "session_id": 1349, "sequence_id": 160, "annotations": []}
{"role": "student", "content": "36", "session_id": 1349, "sequence_id": 161, "annotations": []}
{"role": "volunteer", "content": "Chloe", "session_id": 1349, "sequence_id": 162, "annotations": [{"pii_type": "PERSON", "surrogate": "Chloe", "start": 0, "end": 5}]}
{"role": "volunteer", "content": "So boom, we got for the first soccer ball x=10.9 and the second soccer ball x=36. Which one do you think travelled farther, the first or the second", "session_id": 1349, "sequence_id": 163, "annotations": []}
{"role": "student", "content": "The second one", "session_id": 1349, "sequence_id": 164, "annotations": []}
{"role": "volunteer", "content": "Yes! So now we solved question number 2!", "session_id": 1349, "sequence_id": 165, "annotations": []}
{"role": "volunteer", "content": "So to recap, if they ask you for which one went the highest, we can find the vertex for both equations, and the one with the bigger y value for the vertex is gonna be higher. If they ask you which one travelled further when it hits the ground, remember that hitting the ground means y=0, so we solve for x in both equations when y=0 and compare.", "session_id": 1349, "sequence_id": 166, "annotations": []}
{"role": "volunteer", "content": "Also if by chance they let you use demos, all you would do is literally you type the equations into desmos and Desmos will tell you what the vertex and x intercepts are for both graphs. What we did was solve it by hand though which is def good to know how to do regardless. For standard form remember how to factor, and for vertex form you need to remember to take the square root of both side", "session_id": 1349, "sequence_id": 167, "annotations": []}
{"role": "volunteer", "content": "Do you have any other questions or concerns?", "session_id": 1349, "sequence_id": 168, "annotations": []}
{"role": "student", "content": "Nope that\u2019s all", "session_id": 1349, "sequence_id": 169, "annotations": []}
{"role": "volunteer", "content": "Alright cool, i hope i helped and good luck with ur test!!! You\u2019ll do great!", "session_id": 1349, "sequence_id": 170, "annotations": []}
{"role": "student", "content": "Thank you so much for helping me!", "session_id": 1349, "sequence_id": 171, "annotations": []}
{"role": "volunteer", "content": "Of course have a great night!", "session_id": 1349, "sequence_id": 172, "annotations": []}
{"role": "student", "content": "You too!", "session_id": 1349, "sequence_id": 173, "annotations": []}
{"role": "student", "content": "hi", "session_id": 15153, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "Hi", "session_id": 15153, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "What can I help you with?", "session_id": 15153, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "I need help with this problem", "session_id": 15153, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "Ok. Let's graph the pieces separately", "session_id": 15153, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "So to graph the first part f(x) = -x + 4 if x < 1, you would just graph f(x) = -x + 4, but only the part to the left of x = 1. Do you know how to do that or do you want me to explain?", "session_id": 15153, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "I=not sure", "session_id": 15153, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "Ok, so conveniently it's already in slope-intercept form, right?", "session_id": 15153, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "So just start from the y intercept (0, 4), and draw a line through that point with a slope of -1.", "session_id": 15153, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "You can do it on the whiteboard(I made a coordinate plane for you) if you want.", "session_id": 15153, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "Did I make it clear how to graph the 1st part?", "session_id": 15153, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "Ok you started from the y-intercept (0, 4) that's good. Now can you start from there to create the whole line?", "session_id": 15153, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "Do you need help using the slope to draw the line?", "session_id": 15153, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "yes", "session_id": 15153, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "Ok. So in general, if we say the slope is m, that means when you go 1 unit to the right, you go m units up (or down if m is negative). I'll show on the whiteboard.", "session_id": 15153, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "I gave you 2 examples on the whiteboard. Now can you apply the same idea for a slope of -1?", "session_id": 15153, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "I just moved mine around so that you would have more room to draw", "session_id": 15153, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "Yes you're getting it", "session_id": 15153, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "Now connect the points", "session_id": 15153, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "Exactly! Now remember that we only want the part to the left of x = 1, so erase the part to the right of x = 1.", "session_id": 15153, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "Now try graphing the f(x) = 2x + 1 part.", "session_id": 15153, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "It's the same thing as before, use the y-intercept and slope.", "session_id": 15153, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "Maybe extend the line a little more to the right", "session_id": 15153, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "Ok good, now this time we only want the part to the right of x = 1, so go ahead and erase the part we don't want.", "session_id": 15153, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "Good", "session_id": 15153, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "Now I'm going to copy the drawing below and make it a little bigger so that we can see it more precisely.", "session_id": 15153, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "While I'm doing that, do you know what continuous means?", "session_id": 15153, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "no", "session_id": 15153, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "So continuous basically means that there are no \"jumps\" or \"breaks\" in the graph, you can draw the whole thing without lifting your pencil.", "session_id": 15153, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "So just look at the graph(you might have to scroll down). Is it continuous(does it have any jumps or breaks)?", "session_id": 15153, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "yes", "session_id": 15153, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "If you meant \"yes, it's continuous\" you are correct.", "session_id": 15153, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "All right, is that good for this problem?", "session_id": 15153, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "I got mine incorrect", "session_id": 15153, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "I have more", "session_id": 15153, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "Oh I'm so sorry but I have to go now. But I think we got the majority of the problem done. Now maybe try some of the different tools on the website (maybe the straight line)", "session_id": 15153, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "And you can always make another request on Tutor Provider!", "session_id": 15153, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "ok", "session_id": 15153, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "Bye!", "session_id": 15153, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "hi", "session_id": 15179, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "Hi Alex, what's up?", "session_id": 15179, "sequence_id": 1, "annotations": [{"pii_type": "PERSON", "surrogate": "Alex", "start": 3, "end": 7}]}
{"role": "student", "content": "I'm good", "session_id": 15179, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "I example.com need to graph the function another.net you know how to start?", "session_id": 15179, "sequence_id": 3, "annotations": [{"pii_type": "URL", "surrogate": "example.com", "start": 2, "end": 13}, {"pii_type": "URL", "surrogate": "another.net", "start": 41, "end": 52}]}
{"role": "student", "content": "no", "session_id": 15179, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "ok, let's start with the -5x+3 part....did you know that f(x)=-5x+3 is a line?", "session_id": 15179, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "no", "session_id": 15179, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "ok, have you graphed lines before using slope and intercept?", "session_id": 15179, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "yes", "session_id": 15179, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "ok, so you know that -5 is the slope and  3 is the intercept....right?", "session_id": 15179, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "yes", "session_id": 15179, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "ok, so to graph the line, we start at the y-intercept (0,3)math.orgen a slope of -5 means we go DOWN 5 and over 1, let me show you using pink", "session_id": 15179, "sequence_id": 11, "annotations": [{"pii_type": "URL", "surrogate": "math.org", "start": 59, "end": 67}]}
{"role": "volunteer", "content": "like image.pnge what I mean?", "session_id": 15179, "sequence_id": 12, "annotations": [{"pii_type": "URL", "surrogate": "image.png", "start": 5, "end": 14}]}
{"role": "student", "content": "yes", "session_id": 15179, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "ok, now lets do the other one...f(x)= graphing.toolope is 1 and intercept is desmos.come where I got that?", "session_id": 15179, "sequence_id": 14, "annotations": [{"pii_type": "URL", "surrogate": "graphing.tool", "start": 38, "end": 51}, {"pii_type": "URL", "surrogate": "desmos.com", "start": 77, "end": 87}]}
{"role": "student", "content": "yes", "session_id": 15179, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "ok, so I will start at (0-4), then go UP 1 every time I move over 1", "session_id": 15179, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "I'll use blue", "session_id": 15179, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "like anotherimage.pnge what I mean?", "session_id": 15179, "sequence_id": 18, "annotations": [{"pii_type": "URL", "surrogate": "anotherimage.png", "start": 5, "end": 21}]}
{"role": "volunteer", "content": "Are you with me Alex?", "session_id": 15179, "sequence_id": 19, "annotations": [{"pii_type": "PERSON", "surrogate": "Alex", "start": 16, "end": 20}]}
{"role": "student", "content": "yes", "session_id": 15179, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "ok, now the function they want us to graph looks like the pink line up to and including x=2, then it looks like the blue line, after for x>2, do you get that?", "session_id": 15179, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "so, if you are good with that, I will draw it using black", "session_id": 15179, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "ok to draw it now?", "session_id": 15179, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "yes", "session_id": 15179, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "ok, so I trace the pink line, up to and including x=2", "session_id": 15179, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "then after 2 I trace the blue line", "session_id": 15179, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "like that, so the black lines are the graph of the finalgraph.jpge what I mean?", "session_id": 15179, "sequence_id": 27, "annotations": [{"pii_type": "URL", "surrogate": "finalgraph.jpg", "start": 51, "end": 65}]}
{"role": "student", "content": "yes", "session_id": 15179, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "ok, now the question of whether it is continuity.html be continuous you would need to be able to draw it without lifting your pencil....but we can't do that for this mathproblem.net x=2 we need to skip from y=-8 up to y=yvalue.org it is NOT notcontinuous.nete what I mean?", "session_id": 15179, "sequence_id": 29, "annotations": [{"pii_type": "URL", "surrogate": "continuity.html", "start": 38, "end": 53}, {"pii_type": "URL", "surrogate": "mathproblem.net", "start": 166, "end": 181}, {"pii_type": "URL", "surrogate": "yvalue.org", "start": 220, "end": 230}, {"pii_type": "URL", "surrogate": "notcontinuous.net", "start": 241, "end": 258}]}
{"role": "student", "content": "yes", "session_id": 15179, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "all good with this one then?", "session_id": 15179, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "yes", "session_id": 15179, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "I have more", "session_id": 15179, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "ok, let's see the next one", "session_id": 15179, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "ok, similar nextproblem.com you agree?", "session_id": 15179, "sequence_id": 35, "annotations": [{"pii_type": "URL", "surrogate": "nextproblem.com", "start": 12, "end": 27}]}
{"role": "student", "content": "yes", "session_id": 15179, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "Would you like me to graph the two lines, or do you want to do it?", "session_id": 15179, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "yes because I don't know what points to plot", "session_id": 15179, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "ok, for 1st one, intercept is -4 and slope is 5, so we start at (0,-4), then we go UP 5 and over 1", "session_id": 15179, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "like that, see how I did that?", "session_id": 15179, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "start at (0,-4), then keep going up 5 and over 1", "session_id": 15179, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "are you good with that?", "session_id": 15179, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "yes", "session_id": 15179, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "ok, now the other secondline.orgercept = 4, slope = slopemath.net, start at (0,4) then go DOWN 1 and over 1", "session_id": 15179, "sequence_id": 44, "annotations": [{"pii_type": "URL", "surrogate": "secondline.org", "start": 18, "end": 32}, {"pii_type": "URL", "surrogate": "slopemath.net", "start": 52, "end": 65}]}
{"role": "volunteer", "content": "like anotherdiagram.jpege what I mean?", "session_id": 15179, "sequence_id": 45, "annotations": [{"pii_type": "URL", "surrogate": "anotherdiagram.jpeg", "start": 5, "end": 24}]}
{"role": "volunteer", "content": "now, the function they want, looks like the pink line up to x=1, then the blue line after combinedgraph.gif let's draw that in black", "session_id": 15179, "sequence_id": 46, "annotations": [{"pii_type": "URL", "surrogate": "combinedgraph.gif", "start": 90, "end": 107}]}
{"role": "volunteer", "content": "like drawing.png up to and including 1, then the blue line after x=1", "session_id": 15179, "sequence_id": 47, "annotations": [{"pii_type": "URL", "surrogate": "drawing.png", "start": 5, "end": 16}]}
{"role": "volunteer", "content": "got it?", "session_id": 15179, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "yes", "session_id": 15179, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "Is the black function continuous? Can you draw it without lifting your pencil?", "session_id": 15179, "sequence_id": 50, "annotations": []}
{"role": "student", "content": "yes", "session_id": 15179, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "Hmm...what happens at x=xvalue.com me it looks like it jumps from y=-1 the whole way up to y=yvaluejump.netn you see that on the plot?", "session_id": 15179, "sequence_id": 52, "annotations": [{"pii_type": "URL", "surrogate": "xvalue.com", "start": 24, "end": 34}, {"pii_type": "URL", "surrogate": "yvaluejump.net", "start": 93, "end": 107}]}
{"role": "volunteer", "content": "see what I mean?  the black graph jumps up at x=1", "session_id": 15179, "sequence_id": 53, "annotations": []}
{"role": "student", "content": "yes", "session_id": 15179, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "if it jumps like that, you can't draw it without lifting your pencil...which means, it is NOT continuous", "session_id": 15179, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "if you have another one we can work on it, but then I need to endofsession.link you have another one?", "session_id": 15179, "sequence_id": 56, "annotations": [{"pii_type": "URL", "surrogate": "endofsession.link", "start": 62, "end": 79}]}
{"role": "volunteer", "content": "are you there Alex?", "session_id": 15179, "sequence_id": 57, "annotations": [{"pii_type": "PERSON", "surrogate": "Alex", "start": 14, "end": 18}]}
{"role": "student", "content": "yes", "session_id": 15179, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "one more?", "session_id": 15179, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "sorry Alex, but it looks like my time is up...gotta run, it's been nice working with you", "session_id": 15179, "sequence_id": 60, "annotations": [{"pii_type": "PERSON", "surrogate": "Alex", "start": 6, "end": 10}]}
{"role": "volunteer", "content": "afternoon!", "session_id": 12128, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "what", "session_id": 12128, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "do you have any problems?", "session_id": 12128, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "ya", "session_id": 12128, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "its number 17", "session_id": 12128, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "That's it?", "session_id": 12128, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "no but starting on 17", "session_id": 12128, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "number 17 is 0", "session_id": 12128, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "oh yeah b ru", "session_id": 12128, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "alright 19", "session_id": 12128, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "it's 1", "session_id": 12128, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "aren't we going to work on it", "session_id": 12128, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "you want me to show how I got the answer?", "session_id": 12128, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "Okay so right away we can see that there is an 8 in the numerator and denominator, so we cross it out and replace it with 1, since 8/8  reduces to 1", "session_id": 12128, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "Hi", "session_id": 11480, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "Hi", "session_id": 11480, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "Algebra? Let's take a look. What's up", "session_id": 11480, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "I need help with inequality word problems with variables ", "session_id": 11480, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "Sounds good, I'm sure we can put our heads together. Do you have maybe a sample question?", "session_id": 11480, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "Yeah I think so", "session_id": 11480, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "Nvm", "session_id": 11480, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "I can\u2019t find it", "session_id": 11480, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": ":)", "session_id": 11480, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "David mows lawns for $15 per yard. He wants to earn at least $120 this weekend.", "session_id": 11480, "sequence_id": 9, "annotations": [{"pii_type": "PERSON", "surrogate": "David", "start": 0, "end": 5}]}
{"role": "volunteer", "content": "Write and solve an inequality to show how many lawns (x) he must mow.", "session_id": 11480, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "Something like that maybe?", "session_id": 11480, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "Yeah ", "session_id": 11480, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "sweet, any idea for a good step 1?", "session_id": 11480, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "Create the inequality ", "session_id": 11480, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "Love it.", "session_id": 11480, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "Do you wanna take a stab at that or hear a thought process, then I can give you another problem to try", "session_id": 11480, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "Hear a thought process ", "session_id": 11480, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "cool, here's how I approach it:", "session_id": 11480, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "1) What's the most important number in this story? It's that $125.\n\n2) Okay so our guy wants to do something that becomes at least (so, \"more than\") $125", "session_id": 11480, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "3) Okay, so:      *the way he earns money* has to be greater than or equal to $125.\n\n4) example.commething >= 125", "session_id": 11480, "sequence_id": 20, "annotations": [{"pii_type": "URL", "surrogate": "example.com", "start": 88, "end": 99}]}
{"role": "volunteer", "content": "Okay I'm half done.\n\n5) How does he make money? He gets $15 per yard.\n\n\n15x >= 125", "session_id": 11480, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "That's the inequality. Does that make sense how I got there?", "session_id": 11480, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 11480, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "We\u2019re 125 come from?", "session_id": 11480, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "That's how much money the guy wanted to make this summer", "session_id": 11480, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "this weekend I mean", "session_id": 11480, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "\"David mows lawns for $15 per yard. He wants to earn at least $120 this weekend.\"\n\n\nlol sorry, $120. I never should have said $125, should have been $120 in my whole thought process", "session_id": 11480, "sequence_id": 27, "annotations": [{"pii_type": "PERSON", "surrogate": "David", "start": 1, "end": 6}]}
{"role": "volunteer", "content": "Good catch", "session_id": 11480, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "15x >= 120", "session_id": 11480, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "Can we do another one", "session_id": 11480, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "Or can I try to do one alone", "session_id": 11480, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "I can definitely give you another", "session_id": 11480, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "Sarah sells bracelets for $8 each. She wants to make more than $60 this week.", "session_id": 11480, "sequence_id": 33, "annotations": [{"pii_type": "PERSON", "surrogate": "Sarah", "start": 0, "end": 5}]}
{"role": "student", "content": "8x>60", "session_id": 11480, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "nailed it", "session_id": 11480, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "can you solve it real quick?", "session_id": 11480, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 11480, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "Do you want another or how you feeling?", "session_id": 11480, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "Can I get one with different variables", "session_id": 11480, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "Something other than money?", "session_id": 11480, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "Yeah  with two different variables ", "session_id": 11480, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "A school bus can carry no more than 60 students. There are b boys and g girls on board.\n\nWrite an inequality that describes this.", "session_id": 11480, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "Something like that?", "session_id": 11480, "sequence_id": 43, "annotations": []}
{"role": "student", "content": "Yeah ", "session_id": 11480, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "And then maybe I tell you there are already 25 boys on board, and I might ask you to write an inequlaity to show how many girls are possible", "session_id": 11480, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "b+g<=60", "session_id": 11480, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "That's perfect", "session_id": 11480, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "Does your homework usually ask you to do that second step? Where they say there are 25 boys so how many girls could there possibly be?", "session_id": 11480, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 11480, "sequence_id": 49, "annotations": []}
{"role": "student", "content": "I don\u2019t know how to do it", "session_id": 11480, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "cool cool", "session_id": 11480, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "so you did b+g<=60.   If I tell you there are 35 boys, where could you shove them in there?", "session_id": 11480, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "Lol 25 boys I mean. Fat fingers.", "session_id": 11480, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "like where in your inequality can you plug in the fact that we're telling you there's already 25 boys on board?", "session_id": 11480, "sequence_id": 54, "annotations": []}
{"role": "student", "content": "25b+g<= 60?", "session_id": 11480, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "careful, super close, don't do it TIMES b, just plug it in for b.", "session_id": 11480, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "b is 25", "session_id": 11480, "sequence_id": 57, "annotations": []}
{"role": "student", "content": "25+g<=60", "session_id": 11480, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "perfect. solve that for g now. Remember the question is \"if we tell you there are 25 boys on board, what's the range of girls we could have\"", "session_id": 11480, "sequence_id": 59, "annotations": []}
{"role": "student", "content": "g=35", "session_id": 11480, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "you're crushing it", "session_id": 11480, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "careful though, you turned an inequality to and equals", "session_id": 11480, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "natural easy mistake.", "session_id": 11480, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "remember we have \"*60 or less* kids on this bus. If we know there are 25 boys we can't guarantee the girl count *is* 35. we can say it is *at most* 35", "session_id": 11480, "sequence_id": 64, "annotations": []}
{"role": "student", "content": "g<=60", "session_id": 11480, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "Hop back to here when you said this: 25b+g<= 60", "session_id": 11480, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "25+g<= 60 sorry, thaat. no b", "session_id": 11480, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "25+g<=60", "session_id": 11480, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "let's forget inequalities for a sec. we can pretend it says \"=\", solve it, and slap our \"<=\" back into it before answering", "session_id": 11480, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "you already did that actually, you said g=35", "session_id": 11480, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "you didn't slap your inequality back in there", "session_id": 11480, "sequence_id": 71, "annotations": []}
{"role": "student", "content": "25+35<=60?", "session_id": 11480, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "Well that *is* true lol. 25 plus 35 is less than or equal to 60.", "session_id": 11480, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "Let me walk you through it. You're doing great by the way, for real.", "session_id": 11480, "sequence_id": 74, "annotations": []}
{"role": "volunteer", "content": "okay, you came up with b+g<=60. that was perfect and it means \"the number of boys plus the number of girls is less thn or equal to 60 kids on this bus\"", "session_id": 11480, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "then the problem told you there are 25 boys, so come up with a range of possible girl head count.", "session_id": 11480, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "you plugged that 25 in for b.\n\n25+g<=60\n\nperfect", "session_id": 11480, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "now we solve it for g", "session_id": 11480, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "subtract 25 from each side (you did this!)", "session_id": 11480, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "but then you said \"g=35\"\n\nyou were soooo close", "session_id": 11480, "sequence_id": 80, "annotations": []}
{"role": "volunteer", "content": "g<=35", "session_id": 11480, "sequence_id": 81, "annotations": []}
{"role": "volunteer", "content": "when you went from \n\n25+g<=60\n\nyou changed the <= to = and said\n\ng=35\n\ninstead of \n\ng<=35", "session_id": 11480, "sequence_id": 82, "annotations": []}
{"role": "student", "content": "Ok I get it ", "session_id": 11480, "sequence_id": 83, "annotations": []}
{"role": "volunteer", "content": "And it makes sense too if you just think about the question. The bus can hold up to 60 kids. If 25 are boys, there can be up to 35 girls. We're not saying there are 35 girls, we're just saying there's 35 or fewer", "session_id": 11480, "sequence_id": 84, "annotations": []}
{"role": "volunteer", "content": "Good stuff. Just keep your inequality sign, that's all you missed.", "session_id": 11480, "sequence_id": 85, "annotations": []}
{"role": "student", "content": "Can we do algebraic word problem\u2019s ", "session_id": 11480, "sequence_id": 86, "annotations": []}
{"role": "volunteer", "content": "Sure, I'm assuming you're doing linear algebra? y=mx+b?", "session_id": 11480, "sequence_id": 87, "annotations": []}
{"role": "volunteer", "content": "Or like silly riddle sort of stuff like:\n\nFive more than twice a number is seventeen. What\u2019s the number?", "session_id": 11480, "sequence_id": 88, "annotations": []}
{"role": "student", "content": "Yeah\n", "session_id": 11480, "sequence_id": 89, "annotations": []}
{"role": "volunteer", "content": "A movie theater charges $10 for adults and $6 for children. One night, 80 tickets were sold for a total of $680.\n\n\nOr something like that where you'd end up with two equations and two variables", "session_id": 11480, "sequence_id": 90, "annotations": []}
{"role": "student", "content": "I guess it\u2019s more like the first one", "session_id": 11480, "sequence_id": 91, "annotations": []}
{"role": "volunteer", "content": "\"Five more than twice a number is seventeen.\"\n\nfor these when I find \"is\" that's =. So lready I've got _________ = 17\n\nMake sense so far?", "session_id": 11480, "sequence_id": 92, "annotations": []}
{"role": "volunteer", "content": "already*", "session_id": 11480, "sequence_id": 93, "annotations": []}
{"role": "student", "content": "K", "session_id": 11480, "sequence_id": 94, "annotations": []}
{"role": "volunteer", "content": "when I read \"some number\" or \"a number\", I write X\n\nThe question says \"twice a number\" so that's \"2x\"\n\n\n\"Five more\" well that just means \"add 5\"\n\n\n\n5+2X=17", "session_id": 11480, "sequence_id": 95, "annotations": []}
{"role": "volunteer", "content": "subtract 5 from both sides: 2x=17-5\n\nSimplify: 2x = 12\n\nDivide both sides by 2: x = 12/2\n\nSimplify: x=6", "session_id": 11480, "sequence_id": 96, "annotations": []}
{"role": "volunteer", "content": "I've got to head to bed but here's another:\n\nNinety-six golf balls were picked up at the driving range and placed\ninto two buckets. One bucket has twenty-eight more balls than the other bucket.\nHow many golf balls are in each bucket\n\n\nI'll call them buckets a and b\n\nI know: a+b=96\nI also know a is 28 more than b, so a=b+28\n\nSo I've got:\n\na+b=96\nand\na=b+28\n\nSo I can take that second one, since it equals a, and plug that into the first one where a is.\n\nInstead of\n\na+b=96\n\nI get\n\n(b+28) + b = 96\n\nNow I rearrange and simplify:\n\n28 + b + b = 96\n\nb plus b? that's 2b\n\n28+2b = 96\n\nsubtract 28 from both sides\n\n2b = 68\n\ndivide both sides by 2\n\nb=34\n\nSo bucket b has 34 balls in it.\n\na+b=96 (remember, we started with 96?) So I can plug that 34 in for b:\n\na+34=96\n\nsubtract 34 from both sides:\n\na=62\n\nAnswer: One bucket has 62 balls, the other has 34", "session_id": 11480, "sequence_id": 97, "annotations": []}
{"role": "volunteer", "content": "Check our work: problem said one has 28 more balls than the other. 34+28=62 so we're good.", "session_id": 11480, "sequence_id": 98, "annotations": []}
{"role": "student", "content": "I don\u2019t get this one", "session_id": 11480, "sequence_id": 99, "annotations": []}
{"role": "student", "content": "How did we get a=b+28", "session_id": 11480, "sequence_id": 100, "annotations": []}
{"role": "student", "content": "hi", "session_id": 11486, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "Hi Marcus", "session_id": 11486, "sequence_id": 1, "annotations": [{"pii_type": "PERSON", "surrogate": "Marcus", "start": 3, "end": 9}]}
{"role": "student", "content": "Hello, can you hear me?", "session_id": 11486, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "OK, can you hear", "session_id": 11486, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "Can you hear me", "session_id": 11486, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "Yes, I can. Can you hear me?", "session_id": 11486, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "Yes, I hear you. How can I help you?", "session_id": 11486, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "Um, can you help me with, can you help me with statistics?", "session_id": 11486, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "Yes", "session_id": 11486, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "Uh, OK", "session_id": 11486, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "Can I put the question on the board?", "session_id": 11486, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "Sure", "session_id": 11486, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "OK", "session_id": 11486, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "1 2nd", "session_id": 11486, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "I'm putting it on now", "session_id": 11486, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "Can you see it on the board", "session_id": 11486, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "Yes, yes, I see it.", "session_id": 11486, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "I'm reading.", "session_id": 11486, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "OK, well, the first step is to calculate the probability", "session_id": 11486, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "of getting a face guard.", "session_id": 11486, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "Can you find it", "session_id": 11486, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "How do I solve it", "session_id": 11486, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "Well, a probability", "session_id": 11486, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "is a fraction", "session_id": 11486, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "It's the number on top is the number of successful events", "session_id": 11486, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "and at the bottom", "session_id": 11486, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "is the total number of events, so how many face cards are there in a deck of cards?", "session_id": 11486, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "52", "session_id": 11486, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "Well, that's the number of cards in the deck.", "session_id": 11486, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "12", "session_id": 11486, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "Um, that's, yeah, that's the number at the bottom. So the probability will be a fraction with 52 at the bottom. That's the total number of outcomes and the number of successful outcomes is the number of face guards. The problem tells us how many face cards there are.", "session_id": 11486, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "OK", "session_id": 11486, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "Yeah, you know what's a face card, correct?", "session_id": 11486, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "I think I do", "session_id": 11486, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "Yeah, face card is like if you look at a deck of cards like King, Queen, and Jack. Those are face cards.", "session_id": 11486, "sequence_id": 34, "annotations": [{"pii_type": "PERSON", "surrogate": "Jack", "start": 77, "end": 81}]}
{"role": "student", "content": "OK", "session_id": 11486, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "So the probability will be 12", "session_id": 11486, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "divided by 52.", "session_id": 11486, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "OK. So 12, divided by 52 is um.23.", "session_id": 11486, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "Yes", "session_id": 11486, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "So point", "session_id": 11486, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "let me, is there a way I can write on the board? So point", "session_id": 11486, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "23", "session_id": 11486, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "Yeah, you can even add one more decimal, like 0.231 to be a bit more accurate.", "session_id": 11486, "sequence_id": 43, "annotations": []}
{"role": "student", "content": "0, 0.231", "session_id": 11486, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "one. All right", "session_id": 11486, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "Now", "session_id": 11486, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "you need the probability", "session_id": 11486, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "of getting something other.", "session_id": 11486, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "than a face card", "session_id": 11486, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "So if a 52", "session_id": 11486, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "car deck has 12 face cards. How many cards will not be face cards.", "session_id": 11486, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "Um", "session_id": 11486, "sequence_id": 52, "annotations": []}
{"role": "student", "content": "um", "session_id": 11486, "sequence_id": 53, "annotations": []}
{"role": "student", "content": "let me see. Um,", "session_id": 11486, "sequence_id": 54, "annotations": []}
{"role": "student", "content": "uh", "session_id": 11486, "sequence_id": 55, "annotations": []}
{"role": "student", "content": "um, uh, is it, um", "session_id": 11486, "sequence_id": 56, "annotations": []}
{"role": "student", "content": "2", "session_id": 11486, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "Well, it's 52", "session_id": 11486, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "and you subscribe", "session_id": 11486, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "12", "session_id": 11486, "sequence_id": 60, "annotations": []}
{"role": "student", "content": "30, 30, 30.", "session_id": 11486, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "would be, would be 40.", "session_id": 11486, "sequence_id": 62, "annotations": []}
{"role": "student", "content": "40. 0, 22 minus to always attracted.", "session_id": 11486, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 11486, "sequence_id": 64, "annotations": []}
{"role": "student", "content": "So 40.", "session_id": 11486, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "So the probability of", "session_id": 11486, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "getting", "session_id": 11486, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "a card other than a face card then would be 40/52.", "session_id": 11486, "sequence_id": 68, "annotations": []}
{"role": "student", "content": "So", "session_id": 11486, "sequence_id": 69, "annotations": []}
{"role": "student", "content": "so", "session_id": 11486, "sequence_id": 70, "annotations": []}
{"role": "student", "content": "in this box it should be 40.", "session_id": 11486, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "Well, it would be 40 divided by 52. I'll, I'll write the uh ratios on, on the board.", "session_id": 11486, "sequence_id": 72, "annotations": []}
{"role": "student", "content": "Yeah, that would, that would be good.", "session_id": 11486, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 11486, "sequence_id": 74, "annotations": []}
{"role": "volunteer", "content": "Let me do that. First of all,", "session_id": 11486, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "sorry, my sound was off for a second there because I, as soon as I pick up my tablet", "session_id": 11486, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "um, the sound goes out, but you should be OK now. Can you hear me?", "session_id": 11486, "sequence_id": 77, "annotations": []}
{"role": "student", "content": "Yeah, of course I can hear you.", "session_id": 11486, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "OK. So a probability, I'm writing above your uploaded page. So number of", "session_id": 11486, "sequence_id": 79, "annotations": []}
{"role": "student", "content": "Yeah, I know, I, I see it", "session_id": 11486, "sequence_id": 80, "annotations": []}
{"role": "volunteer", "content": "number of successful events.", "session_id": 11486, "sequence_id": 81, "annotations": []}
{"role": "volunteer", "content": "divided by", "session_id": 11486, "sequence_id": 82, "annotations": []}
{"role": "volunteer", "content": "the number", "session_id": 11486, "sequence_id": 83, "annotations": []}
{"role": "volunteer", "content": "of events", "session_id": 11486, "sequence_id": 84, "annotations": []}
{"role": "volunteer", "content": "So I'll write that for our particular problem.", "session_id": 11486, "sequence_id": 85, "annotations": []}
{"role": "volunteer", "content": "So the probability of getting a face card then would be 12/52 and the probability of getting something other", "session_id": 11486, "sequence_id": 86, "annotations": []}
{"role": "volunteer", "content": "then this is called the compliment.", "session_id": 11486, "sequence_id": 87, "annotations": []}
{"role": "volunteer", "content": "There are 52 cards, so 52", "session_id": 11486, "sequence_id": 88, "annotations": []}
{"role": "volunteer", "content": "and we subtract 12, that leaves 40. That's called the complement probability.", "session_id": 11486, "sequence_id": 89, "annotations": []}
{"role": "volunteer", "content": "OK, so you can, you can calculate that as a decimal number if you like.", "session_id": 11486, "sequence_id": 90, "annotations": []}
{"role": "student", "content": "Let me solve it", "session_id": 11486, "sequence_id": 91, "annotations": []}
{"role": "student", "content": "10/13", "session_id": 11486, "sequence_id": 92, "annotations": []}
{"role": "volunteer", "content": "Uh, no, it would be", "session_id": 11486, "sequence_id": 93, "annotations": []}
{"role": "volunteer", "content": "40/52.", "session_id": 11486, "sequence_id": 94, "annotations": []}
{"role": "student", "content": "Um, uh, do you want a fraction or do you want a decimal?", "session_id": 11486, "sequence_id": 95, "annotations": []}
{"role": "volunteer", "content": "Well, it's up to you. You wrote the first one as a decimal.", "session_id": 11486, "sequence_id": 96, "annotations": []}
{"role": "volunteer", "content": "Uh, it doesn't matter, you can use either leave it as a fraction, but maybe be consistent. If you wrote the first one.", "session_id": 11486, "sequence_id": 97, "annotations": []}
{"role": "volunteer", "content": "as 0.231", "session_id": 11486, "sequence_id": 98, "annotations": []}
{"role": "volunteer", "content": "you could write the second one as a decimal as well.", "session_id": 11486, "sequence_id": 99, "annotations": []}
{"role": "student", "content": "Oh, so 0.76.", "session_id": 11486, "sequence_id": 100, "annotations": []}
{"role": "volunteer", "content": "OK, or let's call that 0.769 to be a bit more accurate.", "session_id": 11486, "sequence_id": 101, "annotations": []}
{"role": "student", "content": "OK", "session_id": 11486, "sequence_id": 102, "annotations": []}
{"role": "volunteer", "content": "So that completes part A.", "session_id": 11486, "sequence_id": 103, "annotations": []}
{"role": "student", "content": "Oh, it wants a fraction.", "session_id": 11486, "sequence_id": 104, "annotations": []}
{"role": "volunteer", "content": "It wants to OK.", "session_id": 11486, "sequence_id": 105, "annotations": []}
{"role": "student", "content": "It wants a fraction, yeah, it wants a fraction.", "session_id": 11486, "sequence_id": 106, "annotations": []}
{"role": "volunteer", "content": "OK, then", "session_id": 11486, "sequence_id": 107, "annotations": []}
{"role": "volunteer", "content": "OK. Then you, you know what those fractions are.", "session_id": 11486, "sequence_id": 108, "annotations": []}
{"role": "student", "content": "Yes, I do. 10/13.", "session_id": 11486, "sequence_id": 109, "annotations": []}
{"role": "volunteer", "content": "Uh, yeah, 10/13 if you want to simplify. Yeah, we can, we can simplify it. So this would be", "session_id": 11486, "sequence_id": 110, "annotations": []}
{"role": "volunteer", "content": "10/13", "session_id": 11486, "sequence_id": 111, "annotations": []}
{"role": "volunteer", "content": "and this would be the top one would be 3/13. Maybe that's what you meant earlier.", "session_id": 11486, "sequence_id": 112, "annotations": []}
{"role": "volunteer", "content": "Oh.", "session_id": 11486, "sequence_id": 113, "annotations": []}
{"role": "student", "content": "Yeah. So the first one is um", "session_id": 11486, "sequence_id": 114, "annotations": []}
{"role": "student", "content": "yeah, 3/13, right? Yeah.", "session_id": 11486, "sequence_id": 115, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 11486, "sequence_id": 116, "annotations": []}
{"role": "student", "content": "Yeah, 3/13 for the first one, and 10/130, because you, we, we divide 12, divide by 52 to hold deck of card and 40 um 40 divided by 52. So", "session_id": 11486, "sequence_id": 117, "annotations": []}
{"role": "student", "content": "uh", "session_id": 11486, "sequence_id": 118, "annotations": []}
{"role": "volunteer", "content": "So 40 by 52 you can factor out 4 top and bottom.", "session_id": 11486, "sequence_id": 119, "annotations": []}
{"role": "student", "content": "OK", "session_id": 11486, "sequence_id": 120, "annotations": []}
{"role": "volunteer", "content": "like 40 is 4 times 10 and 52 is 4 times 13. So if you factor out the 4, you're left with 10/13.", "session_id": 11486, "sequence_id": 121, "annotations": []}
{"role": "student", "content": "Oh, well, how do we get to 40?", "session_id": 11486, "sequence_id": 122, "annotations": []}
{"role": "volunteer", "content": "OK, I'll show you. So I'll write in green colors, so.", "session_id": 11486, "sequence_id": 123, "annotations": []}
{"role": "volunteer", "content": "there are", "session_id": 11486, "sequence_id": 124, "annotations": []}
{"role": "volunteer", "content": "OK, there are 52 cards in the deck, correct?", "session_id": 11486, "sequence_id": 125, "annotations": []}
{"role": "student", "content": "Correct", "session_id": 11486, "sequence_id": 126, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 11486, "sequence_id": 127, "annotations": []}
{"role": "volunteer", "content": "And we're told there are 12 face cards among the 52.", "session_id": 11486, "sequence_id": 128, "annotations": []}
{"role": "volunteer", "content": "So that leaves how many cards.", "session_id": 11486, "sequence_id": 129, "annotations": []}
{"role": "volunteer", "content": "are not", "session_id": 11486, "sequence_id": 130, "annotations": []}
{"role": "volunteer", "content": "face cards", "session_id": 11486, "sequence_id": 131, "annotations": []}
{"role": "student", "content": "Oh, so you subtractive 32 minus 12.", "session_id": 11486, "sequence_id": 132, "annotations": []}
{"role": "volunteer", "content": "Correct. So 40", "session_id": 11486, "sequence_id": 133, "annotations": []}
{"role": "volunteer", "content": "are not face cards.", "session_id": 11486, "sequence_id": 134, "annotations": []}
{"role": "volunteer", "content": "So I wrote all of that on the board.", "session_id": 11486, "sequence_id": 135, "annotations": []}
{"role": "student", "content": "OK. Um, OK. I, I'll, I'll write it down on my side. I'll write it down on my paper as well.", "session_id": 11486, "sequence_id": 136, "annotations": []}
{"role": "volunteer", "content": "Sure", "session_id": 11486, "sequence_id": 137, "annotations": []}
{"role": "student", "content": "OK, so I, so I wrote 3/13 for the first one. I wrote 10/13.", "session_id": 11486, "sequence_id": 138, "annotations": []}
{"role": "volunteer", "content": "Right", "session_id": 11486, "sequence_id": 139, "annotations": []}
{"role": "student", "content": "OK. Next question, uh, letter B.", "session_id": 11486, "sequence_id": 140, "annotations": []}
{"role": "volunteer", "content": "right", "session_id": 11486, "sequence_id": 141, "annotations": []}
{"role": "volunteer", "content": "Did you learn the formula for the expected value?", "session_id": 11486, "sequence_id": 142, "annotations": []}
{"role": "student", "content": "I think we have to, um, use the that key.", "session_id": 11486, "sequence_id": 143, "annotations": []}
{"role": "volunteer", "content": "Well, there's a simple formula. I wrote it, uh, below your uploaded page.", "session_id": 11486, "sequence_id": 144, "annotations": []}
{"role": "student", "content": "Oh, I see it. I see it. Probability goes number of successful events over a number of events.", "session_id": 11486, "sequence_id": 145, "annotations": []}
{"role": "volunteer", "content": "Uh, that's the formula for the probability, but look below", "session_id": 11486, "sequence_id": 146, "annotations": []}
{"role": "volunteer", "content": "you're uploaded page.", "session_id": 11486, "sequence_id": 147, "annotations": []}
{"role": "student", "content": "OK", "session_id": 11486, "sequence_id": 148, "annotations": []}
{"role": "volunteer", "content": "The formula for the expected value.", "session_id": 11486, "sequence_id": 149, "annotations": []}
{"role": "student", "content": "Expected value.", "session_id": 11486, "sequence_id": 150, "annotations": []}
{"role": "volunteer", "content": "Yeah, just scroll down lower on the board.", "session_id": 11486, "sequence_id": 151, "annotations": []}
{"role": "student", "content": "Uh, I'm afraid right to formula down just in case.", "session_id": 11486, "sequence_id": 152, "annotations": []}
{"role": "student", "content": "Because um, I, I did learn this in class.", "session_id": 11486, "sequence_id": 153, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 11486, "sequence_id": 154, "annotations": []}
{"role": "student", "content": "OK, so I went lower", "session_id": 11486, "sequence_id": 155, "annotations": []}
{"role": "student", "content": "Oh, I expect the value, it's 30 times face.", "session_id": 11486, "sequence_id": 156, "annotations": []}
{"role": "student", "content": "Wait, I already learned it. This is for average, correct?", "session_id": 11486, "sequence_id": 157, "annotations": []}
{"role": "volunteer", "content": "That's, that's what the expected value is, that is the average.", "session_id": 11486, "sequence_id": 158, "annotations": []}
{"role": "student", "content": "Oh, I, I already know, oh, I already know that already, OK, let me try solve that.", "session_id": 11486, "sequence_id": 159, "annotations": []}
{"role": "student", "content": "5.38.", "session_id": 11486, "sequence_id": 160, "annotations": []}
{"role": "volunteer", "content": "That's correct", "session_id": 11486, "sequence_id": 161, "annotations": []}
{"role": "volunteer", "content": "So that is in dollars, so it's $5.38.", "session_id": 11486, "sequence_id": 162, "annotations": []}
{"role": "student", "content": "OK", "session_id": 11486, "sequence_id": 163, "annotations": []}
{"role": "student", "content": "Should I play this game", "session_id": 11486, "sequence_id": 164, "annotations": []}
{"role": "volunteer", "content": "When you", "session_id": 11486, "sequence_id": 165, "annotations": []}
{"role": "student", "content": "Yes or no", "session_id": 11486, "sequence_id": 166, "annotations": []}
{"role": "volunteer", "content": "what do you think", "session_id": 11486, "sequence_id": 167, "annotations": []}
{"role": "student", "content": "I'll say yes", "session_id": 11486, "sequence_id": 168, "annotations": []}
{"role": "volunteer", "content": "Why", "session_id": 11486, "sequence_id": 169, "annotations": []}
{"role": "student", "content": "because um you, because you're making that money, right?", "session_id": 11486, "sequence_id": 170, "annotations": []}
{"role": "volunteer", "content": "That's right. You're expected value is positive.", "session_id": 11486, "sequence_id": 171, "annotations": []}
{"role": "student", "content": "That's correct because uh because you you're still making something.", "session_id": 11486, "sequence_id": 172, "annotations": []}
{"role": "volunteer", "content": "That's right", "session_id": 11486, "sequence_id": 173, "annotations": []}
{"role": "student", "content": "The answer is correct", "session_id": 11486, "sequence_id": 174, "annotations": []}
{"role": "volunteer", "content": "OK, good", "session_id": 11486, "sequence_id": 175, "annotations": []}
{"role": "student", "content": "Next question", "session_id": 11486, "sequence_id": 176, "annotations": []}
{"role": "student", "content": "I'm gonna sip it and put it on there.", "session_id": 11486, "sequence_id": 177, "annotations": []}
{"role": "student", "content": "OK, so", "session_id": 11486, "sequence_id": 178, "annotations": []}
{"role": "student", "content": "um", "session_id": 11486, "sequence_id": 179, "annotations": []}
{"role": "student", "content": "um, raise the board. How do I, do I raise the board or?", "session_id": 11486, "sequence_id": 180, "annotations": []}
{"role": "student", "content": "Oh", "session_id": 11486, "sequence_id": 181, "annotations": []}
{"role": "student", "content": "I'm gonna, uh, erase the board and yeah.", "session_id": 11486, "sequence_id": 182, "annotations": []}
{"role": "student", "content": "Can you help me erase the board because I I'm just having trouble.", "session_id": 11486, "sequence_id": 183, "annotations": []}
{"role": "student", "content": "Thank you", "session_id": 11486, "sequence_id": 184, "annotations": []}
{"role": "student", "content": "Wow, you're really quick.", "session_id": 11486, "sequence_id": 185, "annotations": []}
{"role": "student", "content": "Let me saved, save it first.", "session_id": 11486, "sequence_id": 186, "annotations": []}
{"role": "student", "content": "A friend of you see the question?", "session_id": 11486, "sequence_id": 187, "annotations": []}
{"role": "volunteer", "content": "Yes", "session_id": 11486, "sequence_id": 188, "annotations": []}
{"role": "student", "content": "OK, I'm gonna, OK, yeah, let's read the question.", "session_id": 11486, "sequence_id": 189, "annotations": []}
{"role": "student", "content": "A friend offers you a following deal for a $10 fee.", "session_id": 11486, "sequence_id": 190, "annotations": []}
{"role": "student", "content": "You may pick an envelope from a box containing Wahana see with this identical envelopes. Well, however, you should go um contains a coupon for a free gift.", "session_id": 11486, "sequence_id": 191, "annotations": []}
{"role": "student", "content": "10 other coupons are free gifts work with $6.08 other coupons are a free gift.", "session_id": 11486, "sequence_id": 192, "annotations": []}
{"role": "student", "content": "worth $12", "session_id": 11486, "sequence_id": 193, "annotations": []}
{"role": "student", "content": "6 of our $12 for coupon for a free gift for $40. That acts the net amount of money won or lost if you take this deal.", "session_id": 11486, "sequence_id": 194, "annotations": []}
{"role": "student", "content": "So", "session_id": 11486, "sequence_id": 195, "annotations": []}
{"role": "student", "content": "for probability", "session_id": 11486, "sequence_id": 196, "annotations": []}
{"role": "student", "content": "Um, wait, for net amount.", "session_id": 11486, "sequence_id": 197, "annotations": []}
{"role": "student", "content": "do we do uh $6 for", "session_id": 11486, "sequence_id": 198, "annotations": []}
{"role": "student", "content": "10, right 10", "session_id": 11486, "sequence_id": 199, "annotations": []}
{"role": "student", "content": "Correct", "session_id": 11486, "sequence_id": 200, "annotations": []}
{"role": "volunteer", "content": "OK, well, first of all, you pay a fee of $10 right off the bat, correct? So if you get an envelope with a", "session_id": 11486, "sequence_id": 201, "annotations": []}
{"role": "volunteer", "content": "$6", "session_id": 11486, "sequence_id": 202, "annotations": []}
{"role": "volunteer", "content": "free gift", "session_id": 11486, "sequence_id": 203, "annotations": []}
{"role": "volunteer", "content": "Did you win or lose?", "session_id": 11486, "sequence_id": 204, "annotations": []}
{"role": "volunteer", "content": "overall", "session_id": 11486, "sequence_id": 205, "annotations": []}
{"role": "student", "content": "-4", "session_id": 11486, "sequence_id": 206, "annotations": []}
{"role": "student", "content": "Oh, you, I lost, I lost.", "session_id": 11486, "sequence_id": 207, "annotations": []}
{"role": "volunteer", "content": "Well, you had to pay $10 but you only got $6 back. Is that good for yeah, you lost $4 right?", "session_id": 11486, "sequence_id": 208, "annotations": []}
{"role": "student", "content": "Right", "session_id": 11486, "sequence_id": 209, "annotations": []}
{"role": "volunteer", "content": "So that's what you put in that first blank cell there.", "session_id": 11486, "sequence_id": 210, "annotations": []}
{"role": "volunteer", "content": "So 4.", "session_id": 11486, "sequence_id": 211, "annotations": []}
{"role": "student", "content": "So 6 dog gift is -4.", "session_id": 11486, "sequence_id": 212, "annotations": []}
{"role": "volunteer", "content": "Well", "session_id": 11486, "sequence_id": 213, "annotations": []}
{"role": "volunteer", "content": "6 minus 10 is -4.", "session_id": 11486, "sequence_id": 214, "annotations": []}
{"role": "student", "content": "OK", "session_id": 11486, "sequence_id": 215, "annotations": []}
{"role": "student", "content": "8 minus 8 is 0.", "session_id": 11486, "sequence_id": 216, "annotations": []}
{"role": "volunteer", "content": "Well, uh let me put the first number here on, on the board.", "session_id": 11486, "sequence_id": 217, "annotations": []}
{"role": "student", "content": "OK", "session_id": 11486, "sequence_id": 218, "annotations": []}
{"role": "volunteer", "content": "So this one here will be 6 is what you win minus what you paid.", "session_id": 11486, "sequence_id": 219, "annotations": []}
{"role": "volunteer", "content": "So you have negative 4. So that's your first number.", "session_id": 11486, "sequence_id": 220, "annotations": []}
{"role": "student", "content": "OK", "session_id": 11486, "sequence_id": 221, "annotations": []}
{"role": "volunteer", "content": "And uh what would be the probability of getting", "session_id": 11486, "sequence_id": 222, "annotations": []}
{"role": "volunteer", "content": "a $6 coupon.", "session_id": 11486, "sequence_id": 223, "annotations": []}
{"role": "student", "content": "Um, I think we do 66 wait, um, probability.", "session_id": 11486, "sequence_id": 224, "annotations": []}
{"role": "volunteer", "content": "Remember the formula for the probability. It's the number of successful events", "session_id": 11486, "sequence_id": 225, "annotations": []}
{"role": "volunteer", "content": "divided by the total number of events.", "session_id": 11486, "sequence_id": 226, "annotations": []}
{"role": "student", "content": "So, I do", "session_id": 11486, "sequence_id": 227, "annotations": []}
{"role": "student", "content": "I do", "session_id": 11486, "sequence_id": 228, "annotations": []}
{"role": "student", "content": "uh-huh, let me see if I remember.", "session_id": 11486, "sequence_id": 229, "annotations": []}
{"role": "student", "content": "Um, 60, no, um.", "session_id": 11486, "sequence_id": 230, "annotations": []}
{"role": "student", "content": "um, 6.", "session_id": 11486, "sequence_id": 231, "annotations": []}
{"role": "student", "content": "Uh, no, no. Uh", "session_id": 11486, "sequence_id": 232, "annotations": []}
{"role": "student", "content": "uh.", "session_id": 11486, "sequence_id": 233, "annotations": []}
{"role": "volunteer", "content": "OK, I'll show you the total number of events, the, the problem statement", "session_id": 11486, "sequence_id": 234, "annotations": []}
{"role": "volunteer", "content": "gives it to you", "session_id": 11486, "sequence_id": 235, "annotations": []}
{"role": "student", "content": "6 divide by 10.", "session_id": 11486, "sequence_id": 236, "annotations": []}
{"role": "volunteer", "content": "Uh, no, no. How many envelopes are there altogether?", "session_id": 11486, "sequence_id": 237, "annotations": []}
{"role": "student", "content": "Um", "session_id": 11486, "sequence_id": 238, "annotations": []}
{"role": "student", "content": "100", "session_id": 11486, "sequence_id": 239, "annotations": []}
{"role": "volunteer", "content": "100. 100", "session_id": 11486, "sequence_id": 240, "annotations": []}
{"role": "volunteer", "content": "OK, I'm gonna write it here", "session_id": 11486, "sequence_id": 241, "annotations": []}
{"role": "student", "content": "OK", "session_id": 11486, "sequence_id": 242, "annotations": []}
{"role": "volunteer", "content": "probability", "session_id": 11486, "sequence_id": 243, "annotations": []}
{"role": "volunteer", "content": "So it's gonna be 100", "session_id": 11486, "sequence_id": 244, "annotations": []}
{"role": "volunteer", "content": "That's the total number of events. That's, that's how many envelopes you can pick from.", "session_id": 11486, "sequence_id": 245, "annotations": []}
{"role": "volunteer", "content": "And how many of those envelopes will contain the $6 gift.", "session_id": 11486, "sequence_id": 246, "annotations": []}
{"role": "volunteer", "content": "out of 100.", "session_id": 11486, "sequence_id": 247, "annotations": []}
{"role": "student", "content": "Um", "session_id": 11486, "sequence_id": 248, "annotations": []}
{"role": "volunteer", "content": "The the problem statement tells you", "session_id": 11486, "sequence_id": 249, "annotations": []}
{"role": "student", "content": "10", "session_id": 11486, "sequence_id": 250, "annotations": []}
{"role": "volunteer", "content": "I circled 10. OK, so the number of successful events is 10, and the total number of events 100.", "session_id": 11486, "sequence_id": 251, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 11486, "sequence_id": 252, "annotations": []}
{"role": "volunteer", "content": "So you can simplify that.", "session_id": 11486, "sequence_id": 253, "annotations": []}
{"role": "volunteer", "content": "you can", "session_id": 11486, "sequence_id": 254, "annotations": []}
{"role": "student", "content": "1", "session_id": 11486, "sequence_id": 255, "annotations": []}
{"role": "volunteer", "content": "yeah, or 1/10 as you wish, 0.1 or 1/10.", "session_id": 11486, "sequence_id": 256, "annotations": []}
{"role": "student", "content": "0 0.1", "session_id": 11486, "sequence_id": 257, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 11486, "sequence_id": 258, "annotations": []}
{"role": "volunteer", "content": "I, I'm not sure what your software or what your website will want, whether it's a fraction or a decimal. Only you can.", "session_id": 11486, "sequence_id": 259, "annotations": []}
{"role": "student", "content": "Oh, it, it's a decimal.", "session_id": 11486, "sequence_id": 260, "annotations": []}
{"role": "volunteer", "content": "Decimal? OK. So that will be 0.1.", "session_id": 11486, "sequence_id": 261, "annotations": []}
{"role": "volunteer", "content": "OK, so we did the first one. Can you do the second one?", "session_id": 11486, "sequence_id": 262, "annotations": []}
{"role": "student", "content": "Uh yes", "session_id": 11486, "sequence_id": 263, "annotations": []}
{"role": "volunteer", "content": "So now we, we're looking at the", "session_id": 11486, "sequence_id": 264, "annotations": []}
{"role": "volunteer", "content": "$8 free gift.", "session_id": 11486, "sequence_id": 265, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 11486, "sequence_id": 266, "annotations": []}
{"role": "student", "content": "We do 8 minus 8.", "session_id": 11486, "sequence_id": 267, "annotations": []}
{"role": "student", "content": "That's 0", "session_id": 11486, "sequence_id": 268, "annotations": []}
{"role": "volunteer", "content": "Well, 8 is what you get back in the free gift, but how much did you pay to play the game? What is the fee?", "session_id": 11486, "sequence_id": 269, "annotations": []}
{"role": "student", "content": "Um", "session_id": 11486, "sequence_id": 270, "annotations": []}
{"role": "student", "content": "the fee $10?", "session_id": 11486, "sequence_id": 271, "annotations": []}
{"role": "volunteer", "content": "$10 so it should be 8 minus 10.", "session_id": 11486, "sequence_id": 272, "annotations": []}
{"role": "student", "content": "Why is that? Oh, OK.", "session_id": 11486, "sequence_id": 273, "annotations": []}
{"role": "volunteer", "content": "because 8 is your prize, you win a", "session_id": 11486, "sequence_id": 274, "annotations": []}
{"role": "volunteer", "content": "you win a", "session_id": 11486, "sequence_id": 275, "annotations": []}
{"role": "student", "content": "Oh, and then you, you take out 10 because that's the fee you had to pay.", "session_id": 11486, "sequence_id": 276, "annotations": []}
{"role": "volunteer", "content": "Exactly", "session_id": 11486, "sequence_id": 277, "annotations": []}
{"role": "student", "content": "OK. So, that's negative too.", "session_id": 11486, "sequence_id": 278, "annotations": []}
{"role": "volunteer", "content": "-2", "session_id": 11486, "sequence_id": 279, "annotations": []}
{"role": "volunteer", "content": "Now you have to calculate the probability.", "session_id": 11486, "sequence_id": 280, "annotations": []}
{"role": "student", "content": "OK. Um", "session_id": 11486, "sequence_id": 281, "annotations": []}
{"role": "student", "content": "divided 100.", "session_id": 11486, "sequence_id": 282, "annotations": []}
{"role": "volunteer", "content": "Well, 100 is correct", "session_id": 11486, "sequence_id": 283, "annotations": []}
{"role": "volunteer", "content": "but how many envelopes", "session_id": 11486, "sequence_id": 284, "annotations": []}
{"role": "volunteer", "content": "will contain the $8 gift.", "session_id": 11486, "sequence_id": 285, "annotations": []}
{"role": "student", "content": "Um", "session_id": 11486, "sequence_id": 286, "annotations": []}
{"role": "student", "content": "10", "session_id": 11486, "sequence_id": 287, "annotations": []}
{"role": "volunteer", "content": "Well, the", "session_id": 11486, "sequence_id": 288, "annotations": []}
{"role": "volunteer", "content": "the problem statement tells you if you read, read the question, it tells you how many envelopes will um", "session_id": 11486, "sequence_id": 289, "annotations": []}
{"role": "volunteer", "content": "how many coupons", "session_id": 11486, "sequence_id": 290, "annotations": []}
{"role": "volunteer", "content": "contain the $8.", "session_id": 11486, "sequence_id": 291, "annotations": []}
{"role": "student", "content": "8080", "session_id": 11486, "sequence_id": 292, "annotations": []}
{"role": "volunteer", "content": "$80 there we go, there we go.", "session_id": 11486, "sequence_id": 293, "annotations": []}
{"role": "student", "content": "80 divide 100", "session_id": 11486, "sequence_id": 294, "annotations": []}
{"role": "volunteer", "content": "80 divided 100. There is the.", "session_id": 11486, "sequence_id": 295, "annotations": []}
{"role": "student", "content": "I thought that said 8 for a second.", "session_id": 11486, "sequence_id": 296, "annotations": []}
{"role": "volunteer", "content": "So this is 80/100. So if you want a decimal number.", "session_id": 11486, "sequence_id": 297, "annotations": []}
{"role": "student", "content": "00 0.8.", "session_id": 11486, "sequence_id": 298, "annotations": []}
{"role": "volunteer", "content": "0.8. OK. We're making progress", "session_id": 11486, "sequence_id": 299, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 11486, "sequence_id": 300, "annotations": []}
{"role": "student", "content": "Um, next, what we do.", "session_id": 11486, "sequence_id": 301, "annotations": []}
{"role": "student", "content": "um", "session_id": 11486, "sequence_id": 302, "annotations": []}
{"role": "student", "content": "um, 12 minus 10.", "session_id": 11486, "sequence_id": 303, "annotations": []}
{"role": "volunteer", "content": "Very good", "session_id": 11486, "sequence_id": 304, "annotations": []}
{"role": "student", "content": "That's 2", "session_id": 11486, "sequence_id": 305, "annotations": []}
{"role": "volunteer", "content": "That's true, OK", "session_id": 11486, "sequence_id": 306, "annotations": []}
{"role": "volunteer", "content": "Mm.", "session_id": 11486, "sequence_id": 307, "annotations": []}
{"role": "student", "content": "And then we and then we do", "session_id": 11486, "sequence_id": 308, "annotations": []}
{"role": "student", "content": "and then we do 6 divided 100.", "session_id": 11486, "sequence_id": 309, "annotations": []}
{"role": "volunteer", "content": "OK, 6", "session_id": 11486, "sequence_id": 310, "annotations": []}
{"role": "volunteer", "content": "divided 100", "session_id": 11486, "sequence_id": 311, "annotations": []}
{"role": "student", "content": "06", "session_id": 11486, "sequence_id": 312, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 11486, "sequence_id": 313, "annotations": []}
{"role": "volunteer", "content": "Last one", "session_id": 11486, "sequence_id": 314, "annotations": []}
{"role": "student", "content": "If you", "session_id": 11486, "sequence_id": 315, "annotations": []}
{"role": "student", "content": "40 minus 10", "session_id": 11486, "sequence_id": 316, "annotations": []}
{"role": "student", "content": "30", "session_id": 11486, "sequence_id": 317, "annotations": []}
{"role": "volunteer", "content": "OK, and the probability", "session_id": 11486, "sequence_id": 318, "annotations": []}
{"role": "student", "content": "probability is", "session_id": 11486, "sequence_id": 319, "annotations": []}
{"role": "student", "content": "0.04.", "session_id": 11486, "sequence_id": 320, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 11486, "sequence_id": 321, "annotations": []}
{"role": "student", "content": "And then find the expected value for playing the game, in other words, financial gain or loss, so let me solve this.", "session_id": 11486, "sequence_id": 322, "annotations": []}
{"role": "student", "content": "We do um", "session_id": 11486, "sequence_id": 323, "annotations": []}
{"role": "student", "content": "let me, uh, we, we don't negative for times 0.1 + -2 x 0.8?", "session_id": 11486, "sequence_id": 324, "annotations": []}
{"role": "volunteer", "content": "Correct. And you keep going.", "session_id": 11486, "sequence_id": 325, "annotations": []}
{"role": "student", "content": "Yeah, keep going. Let me solve that.", "session_id": 11486, "sequence_id": 326, "annotations": []}
{"role": "student", "content": "0.68.", "session_id": 11486, "sequence_id": 327, "annotations": []}
{"role": "volunteer", "content": "Very good", "session_id": 11486, "sequence_id": 328, "annotations": []}
{"role": "volunteer", "content": "You got it", "session_id": 11486, "sequence_id": 329, "annotations": []}
{"role": "student", "content": "Thank you", "session_id": 11486, "sequence_id": 330, "annotations": []}
{"role": "student", "content": "Based upon the expected value, should you play the game, yes, I expect to come out ahead of money, no, that's no, no, no.", "session_id": 11486, "sequence_id": 331, "annotations": []}
{"role": "student", "content": "That's the last. no I expect to come out behind in money.", "session_id": 11486, "sequence_id": 332, "annotations": []}
{"role": "volunteer", "content": "That's right, because on average, every time you play, you lose 68 cents.", "session_id": 11486, "sequence_id": 333, "annotations": []}
{"role": "student", "content": "So", "session_id": 11486, "sequence_id": 334, "annotations": []}
{"role": "volunteer", "content": "which is $0.68.", "session_id": 11486, "sequence_id": 335, "annotations": []}
{"role": "student", "content": "Correct", "session_id": 11486, "sequence_id": 336, "annotations": []}
{"role": "student", "content": "Let's see if it's all correct.", "session_id": 11486, "sequence_id": 337, "annotations": []}
{"role": "student", "content": "It's all correct", "session_id": 11486, "sequence_id": 338, "annotations": []}
{"role": "volunteer", "content": "All right, awesome", "session_id": 11486, "sequence_id": 339, "annotations": []}
{"role": "student", "content": "Next question", "session_id": 11486, "sequence_id": 340, "annotations": []}
{"role": "volunteer", "content": "OK, I can do one more, and after that, I'll have to go.", "session_id": 11486, "sequence_id": 341, "annotations": []}
{"role": "student", "content": "Uh, by the way, it's the last question as well.", "session_id": 11486, "sequence_id": 342, "annotations": []}
{"role": "volunteer", "content": "OK. All right. Put, put it up on the board.", "session_id": 11486, "sequence_id": 343, "annotations": []}
{"role": "student", "content": "OK", "session_id": 11486, "sequence_id": 344, "annotations": []}
{"role": "student", "content": "Let me see", "session_id": 11486, "sequence_id": 345, "annotations": []}
{"role": "student", "content": "OK, I'm putting you on the board now. Can you clear it, yeah, OK, it's OK clear everything real quick.", "session_id": 11486, "sequence_id": 346, "annotations": []}
{"role": "student", "content": "I put uh there's more in that I'm gonna put more uh the question below. I, I'm gonna there's one more.", "session_id": 11486, "sequence_id": 347, "annotations": []}
{"role": "student", "content": "I'm gonna put this underneath.", "session_id": 11486, "sequence_id": 348, "annotations": []}
{"role": "student", "content": "Can you see it", "session_id": 11486, "sequence_id": 349, "annotations": []}
{"role": "volunteer", "content": "Yes, I see questions A, B, C, D, E.", "session_id": 11486, "sequence_id": 350, "annotations": []}
{"role": "student", "content": "OK, let's do it", "session_id": 11486, "sequence_id": 351, "annotations": []}
{"role": "student", "content": "A physics professor", "session_id": 11486, "sequence_id": 352, "annotations": []}
{"role": "student", "content": "um, who wants to know how many years each physic um major will spend doing postgraduate.", "session_id": 11486, "sequence_id": 353, "annotations": []}
{"role": "student", "content": "his research to find the random variable x.", "session_id": 11486, "sequence_id": 354, "annotations": []}
{"role": "student", "content": "So X is the number of physics majors that we do a postgraduate research or a number of years, a physics major was then doing postgraduate research.", "session_id": 11486, "sequence_id": 355, "annotations": []}
{"role": "student", "content": "I feel like years. Second 2nd 1.", "session_id": 11486, "sequence_id": 356, "annotations": []}
{"role": "volunteer", "content": "The second one is correct. That's the only one that makes sense.", "session_id": 11486, "sequence_id": 357, "annotations": []}
{"role": "student", "content": "Yeah, that's true, yeah.", "session_id": 11486, "sequence_id": 358, "annotations": []}
{"role": "volunteer", "content": "It's the only one that matches what I've underlined.", "session_id": 11486, "sequence_id": 359, "annotations": []}
{"role": "student", "content": "That's true, yes", "session_id": 11486, "sequence_id": 360, "annotations": []}
{"role": "student", "content": "So suppose the professor has the following probability distribution. Complete the table and use to answer part C and E.", "session_id": 11486, "sequence_id": 361, "annotations": []}
{"role": "student", "content": "So this has to add up to one.", "session_id": 11486, "sequence_id": 362, "annotations": []}
{"role": "volunteer", "content": "That's right. The column that has", "session_id": 11486, "sequence_id": 363, "annotations": []}
{"role": "volunteer", "content": "P X, that has to add up to one.", "session_id": 11486, "sequence_id": 364, "annotations": []}
{"role": "student", "content": "Mhm.", "session_id": 11486, "sequence_id": 365, "annotations": []}
{"role": "student", "content": "So, 9095 0.15.", "session_id": 11486, "sequence_id": 366, "annotations": []}
{"role": "volunteer", "content": "Correct.", "session_id": 11486, "sequence_id": 367, "annotations": []}
{"role": "student", "content": "How PMX? So how do we figure that out?", "session_id": 11486, "sequence_id": 368, "annotations": []}
{"role": "student", "content": "Oh, we multiply 2 times 0.20.", "session_id": 11486, "sequence_id": 369, "annotations": []}
{"role": "volunteer", "content": "Correct", "session_id": 11486, "sequence_id": 370, "annotations": []}
{"role": "student", "content": "That's 0 0.4.", "session_id": 11486, "sequence_id": 371, "annotations": []}
{"role": "student", "content": "3 times 0.15.", "session_id": 11486, "sequence_id": 372, "annotations": []}
{"role": "student", "content": "is 0.45.", "session_id": 11486, "sequence_id": 373, "annotations": []}
{"role": "student", "content": "4 times 0.15.", "session_id": 11486, "sequence_id": 374, "annotations": []}
{"role": "student", "content": "That is 0.6.", "session_id": 11486, "sequence_id": 375, "annotations": []}
{"role": "student", "content": "5 times 0.", "session_id": 11486, "sequence_id": 376, "annotations": []}
{"role": "student", "content": "0.10.", "session_id": 11486, "sequence_id": 377, "annotations": []}
{"role": "student", "content": "is 0.5", "session_id": 11486, "sequence_id": 378, "annotations": []}
{"role": "student", "content": "and 6 times 0.", "session_id": 11486, "sequence_id": 379, "annotations": []}
{"role": "student", "content": "0.05", "session_id": 11486, "sequence_id": 380, "annotations": []}
{"role": "student", "content": "is 0.3.", "session_id": 11486, "sequence_id": 381, "annotations": []}
{"role": "volunteer", "content": "OK, I wrote all that on the board.", "session_id": 11486, "sequence_id": 382, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 11486, "sequence_id": 383, "annotations": []}
{"role": "student", "content": "Wait, if it's 0.6, why put a 0 after the 6th.", "session_id": 11486, "sequence_id": 384, "annotations": []}
{"role": "student", "content": "0.6050", "session_id": 11486, "sequence_id": 385, "annotations": []}
{"role": "volunteer", "content": "Um", "session_id": 11486, "sequence_id": 386, "annotations": []}
{"role": "volunteer", "content": "where do you see that", "session_id": 11486, "sequence_id": 387, "annotations": []}
{"role": "volunteer", "content": "Uh, it's just, it's just to make them all too, too decimals so that they, they will be easier to add up. You, you could also write it as 0.6", "session_id": 11486, "sequence_id": 388, "annotations": []}
{"role": "student", "content": "Oh", "session_id": 11486, "sequence_id": 389, "annotations": []}
{"role": "volunteer", "content": "like, like this", "session_id": 11486, "sequence_id": 390, "annotations": []}
{"role": "volunteer", "content": "but it's easier to um", "session_id": 11486, "sequence_id": 391, "annotations": []}
{"role": "volunteer", "content": "it's easier to add up if, if all the numbers have the same format.", "session_id": 11486, "sequence_id": 392, "annotations": []}
{"role": "student", "content": "OK", "session_id": 11486, "sequence_id": 393, "annotations": []}
{"role": "student", "content": "Next question", "session_id": 11486, "sequence_id": 394, "annotations": []}
{"role": "student", "content": "I I really done a physics major.", "session_id": 11486, "sequence_id": 395, "annotations": []}
{"role": "student", "content": "will do postgraduate research for 4 years.", "session_id": 11486, "sequence_id": 396, "annotations": []}
{"role": "student", "content": "0.15", "session_id": 11486, "sequence_id": 397, "annotations": []}
{"role": "volunteer", "content": "Correct", "session_id": 11486, "sequence_id": 398, "annotations": []}
{"role": "student", "content": "OK", "session_id": 11486, "sequence_id": 399, "annotations": []}
{"role": "volunteer", "content": "Bingo", "session_id": 11486, "sequence_id": 400, "annotations": []}
{"role": "student", "content": "Mind if I", "session_id": 11486, "sequence_id": 401, "annotations": []}
{"role": "student", "content": "probably that faces this feature would do postgraduate research for at least for at most 3 years.", "session_id": 11486, "sequence_id": 402, "annotations": []}
{"role": "student", "content": "We we add 0.15 plus 0.10 plus 0.0.05.", "session_id": 11486, "sequence_id": 403, "annotations": []}
{"role": "volunteer", "content": "Well, it wants 3 years or less if you say at most 3 years, it's 3 years or less, not.", "session_id": 11486, "sequence_id": 404, "annotations": []}
{"role": "student", "content": "OK, so, OK, OK, so 0.35 plus 0.20 plus 0.15.", "session_id": 11486, "sequence_id": 405, "annotations": []}
{"role": "volunteer", "content": "Correct", "session_id": 11486, "sequence_id": 406, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 11486, "sequence_id": 407, "annotations": []}
{"role": "student", "content": "Plus", "session_id": 11486, "sequence_id": 408, "annotations": []}
{"role": "student", "content": "+ 0420 + 0.15.", "session_id": 11486, "sequence_id": 409, "annotations": []}
{"role": "student", "content": "that's 0.7", "session_id": 11486, "sequence_id": 410, "annotations": []}
{"role": "volunteer", "content": "Right", "session_id": 11486, "sequence_id": 411, "annotations": []}
{"role": "student", "content": "Wait, is that 0.70?", "session_id": 11486, "sequence_id": 412, "annotations": []}
{"role": "volunteer", "content": "Same thing", "session_id": 11486, "sequence_id": 413, "annotations": []}
{"role": "student", "content": "OK", "session_id": 11486, "sequence_id": 414, "annotations": []}
{"role": "student", "content": "And", "session_id": 11486, "sequence_id": 415, "annotations": []}
{"role": "student", "content": "E, right? E", "session_id": 11486, "sequence_id": 416, "annotations": []}
{"role": "student", "content": "0.7. So E is on average how many years you expect a physics major to spend doing postgraduate research round to the nearest, how many years would you expect a physics major? On average, so.", "session_id": 11486, "sequence_id": 417, "annotations": []}
{"role": "student", "content": "oh, OK, I remember this. 0.35.", "session_id": 11486, "sequence_id": 418, "annotations": []}
{"role": "student", "content": "times 0.35", "session_id": 11486, "sequence_id": 419, "annotations": []}
{"role": "student", "content": "plus", "session_id": 11486, "sequence_id": 420, "annotations": []}
{"role": "volunteer", "content": "No, you, you, you, you don't do it that way because it's already been multiplied. Look at the expression here. This multiplication has already been done.", "session_id": 11486, "sequence_id": 421, "annotations": []}
{"role": "volunteer", "content": "So all you have to do is add up the numbers in the rightmost column.", "session_id": 11486, "sequence_id": 422, "annotations": []}
{"role": "student", "content": "Oh, you're right, you're right, you're right, you're right. Uh, it's, you're right, yeah.", "session_id": 11486, "sequence_id": 423, "annotations": []}
{"role": "student", "content": "Let me, let me do that", "session_id": 11486, "sequence_id": 424, "annotations": []}
{"role": "student", "content": "2.6", "session_id": 11486, "sequence_id": 425, "annotations": []}
{"role": "volunteer", "content": "That's the uh that's the expected number of years", "session_id": 11486, "sequence_id": 426, "annotations": []}
{"role": "student", "content": "OK", "session_id": 11486, "sequence_id": 427, "annotations": []}
{"role": "student", "content": "My homework is done.", "session_id": 11486, "sequence_id": 428, "annotations": []}
{"role": "volunteer", "content": "Awesome", "session_id": 11486, "sequence_id": 429, "annotations": []}
{"role": "student", "content": "Awesome", "session_id": 11486, "sequence_id": 430, "annotations": []}
{"role": "student", "content": "You were a good tutor, amazing tutor.", "session_id": 11486, "sequence_id": 431, "annotations": []}
{"role": "volunteer", "content": "OK, thank you. So we can uh end this session and uh I'll wish you a good evening.", "session_id": 11486, "sequence_id": 432, "annotations": []}
{"role": "student", "content": "Sounds good", "session_id": 11486, "sequence_id": 433, "annotations": []}
{"role": "volunteer", "content": "OK, bye for now", "session_id": 11486, "sequence_id": 434, "annotations": []}
{"role": "student", "content": "I really appreciate your help", "session_id": 11486, "sequence_id": 435, "annotations": []}
{"role": "student", "content": "Bye for now.", "session_id": 11486, "sequence_id": 436, "annotations": []}
{"role": "volunteer", "content": "OK, you're welcome", "session_id": 11486, "sequence_id": 437, "annotations": []}
{"role": "volunteer", "content": "Hi", "session_id": 12129, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "How are you doing?", "session_id": 12129, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "good and you", "session_id": 12129, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "?", "session_id": 12129, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "Good, how can I help you today?", "session_id": 12129, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "my math homework", "session_id": 12129, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "Ok, nice!", "session_id": 12129, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "please put the question in the chat!", "session_id": 12129, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "Let's start with one question per time!", "session_id": 12129, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "ok its 17", "session_id": 12129, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "quset 17", "session_id": 12129, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "Type the question in the chat", "session_id": 12129, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "I'm sharing my screen", "session_id": 12129, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "but ok\\", "session_id": 12129, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "OK, hold up. Let me see. Um", "session_id": 12129, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "question is", "session_id": 12129, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "11/3 + 2/3 minus 1, but it's PEMDAS does.", "session_id": 12129, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "Pandas, panda.", "session_id": 12129, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "Ah", "session_id": 12129, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "God", "session_id": 12129, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "its 1/3 plus 2/3 - 1", "session_id": 12129, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "heloo", "session_id": 12129, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "Hi Emily", "session_id": 12129, "sequence_id": 22, "annotations": [{"pii_type": "PERSON", "surrogate": "Emily", "start": 3, "end": 8}]}
{"role": "volunteer", "content": "hello", "session_id": 12146, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "hi", "session_id": 12146, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "i need help with this", "session_id": 12146, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "What do you think you might let x equal?", "session_id": 12146, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "x is the  third evening", "session_id": 12146, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "yes, that's a good choice", "session_id": 12146, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "so what expression could you use for the number of calls on the first evening?", "session_id": 12146, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "thats the problem", "session_id": 12146, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "dont know how to set it up", "session_id": 12146, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "what does it say about the number of calls on the first evening?", "session_id": 12146, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "8 fewer calls", "session_id": 12146, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "than the 3rd evenicng", "session_id": 12146, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "8 fewer than x, in other words, right?", "session_id": 12146, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "yes", "session_id": 12146, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "8-x", "session_id": 12146, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "other way around", "session_id": 12146, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "ohh", "session_id": 12146, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "x - 8", "session_id": 12146, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "can you see where I wrote that on the board?", "session_id": 12146, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "yes", "session_id": 12146, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "actually theres nothing on the board", "session_id": 12146, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "oh i see", "session_id": 12146, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "4x", "session_id": 12146, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "how would you write the number of calls received on the third eveing?", "session_id": 12146, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "+ x", "session_id": 12146, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "and what do those all add up to?", "session_id": 12146, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "that's it. Now you solve that for x", "session_id": 12146, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "ok", "session_id": 12146, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "is this right", "session_id": 12146, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "not quite", "session_id": 12146, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "what is x + 5x ?", "session_id": 12146, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "ok", "session_id": 12146, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 12146, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "third evenicng is equal to 17", "session_id": 12146, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "yes.", "session_id": 12146, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "and you can figure out the other evenings from that", "session_id": 12146, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "so first evening is 11, second is 68", "session_id": 12146, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "what is 17 - 8", "session_id": 12146, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "9", "session_id": 12146, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "next", "session_id": 12146, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "If you are correct, then 9 + 68 + 17 should =94.  does it?", "session_id": 12146, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "yes", "session_id": 12146, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "then that must be the answer", "session_id": 12146, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "idk what im doing o this on", "session_id": 12146, "sequence_id": 43, "annotations": []}
{"role": "student", "content": "one", "session_id": 12146, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "ummm", "session_id": 12146, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "this problem is really very similar", "session_id": 12146, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "It's the exact scene. It's the exact same thing at the scheduled pickup so understand that Liam I just don't understand it.", "session_id": 12146, "sequence_id": 47, "annotations": [{"pii_type": "PERSON", "surrogate": "Liam", "start": 91, "end": 95}]}
{"role": "student", "content": "So how do you like make the equation.", "session_id": 12146, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "Oh, so we just", "session_id": 12146, "sequence_id": 49, "annotations": []}
{"role": "student", "content": "um,", "session_id": 12146, "sequence_id": 50, "annotations": []}
{"role": "student", "content": "so we're just adding them all together.", "session_id": 12146, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "I don't see any Liam", "session_id": 12146, "sequence_id": 52, "annotations": [{"pii_type": "PERSON", "surrogate": "Liam", "start": 16, "end": 20}]}
{"role": "student", "content": "Huh? What are you talking about", "session_id": 12146, "sequence_id": 53, "annotations": []}
{"role": "student", "content": "I don't have a Liam either.", "session_id": 12146, "sequence_id": 54, "annotations": [{"pii_type": "PERSON", "surrogate": "Liam", "start": 15, "end": 19}]}
{"role": "student", "content": "I think I get this one", "session_id": 12146, "sequence_id": 55, "annotations": []}
{"role": "student", "content": "so just 2 eggs.", "session_id": 12146, "sequence_id": 56, "annotations": []}
{"role": "student", "content": "and then", "session_id": 12146, "sequence_id": 57, "annotations": []}
{"role": "student", "content": "plus Liam Is this correct?", "session_id": 12146, "sequence_id": 58, "annotations": [{"pii_type": "PERSON", "surrogate": "Liam", "start": 5, "end": 9}]}
{"role": "volunteer", "content": "you wrote something about Liam.  Anyway, that looks correct", "session_id": 12146, "sequence_id": 59, "annotations": [{"pii_type": "PERSON", "surrogate": "Liam", "start": 26, "end": 30}]}
{"role": "student", "content": "Liam, you want more avocado.", "session_id": 12146, "sequence_id": 60, "annotations": [{"pii_type": "PERSON", "surrogate": "Liam", "start": 0, "end": 4}]}
{"role": "student", "content": "This is correct", "session_id": 12146, "sequence_id": 61, "annotations": []}
{"role": "student", "content": "I didn't write anything about Liam.", "session_id": 12146, "sequence_id": 62, "annotations": [{"pii_type": "PERSON", "surrogate": "Liam", "start": 30, "end": 34}]}
{"role": "student", "content": "unless", "session_id": 12146, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "Avocado?", "session_id": 12146, "sequence_id": 64, "annotations": []}
{"role": "student", "content": "Oh, you need to, you need to click the speaker thing, cause you're just reading", "session_id": 12146, "sequence_id": 65, "annotations": []}
{"role": "student", "content": "the um transcript.", "session_id": 12146, "sequence_id": 66, "annotations": []}
{"role": "student", "content": "thats just the background", "session_id": 12146, "sequence_id": 67, "annotations": []}
{"role": "student", "content": "noise", "session_id": 12146, "sequence_id": 68, "annotations": []}
{"role": "student", "content": "can u hear me?", "session_id": 12146, "sequence_id": 69, "annotations": []}
{"role": "student", "content": "Thank you for calling FFYline speaking. How can I help you?", "session_id": 12146, "sequence_id": 70, "annotations": []}
{"role": "student", "content": "Thank you for calling us. So, is this correct?", "session_id": 12146, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "Please turn off your mic", "session_id": 12146, "sequence_id": 72, "annotations": []}
{"role": "student", "content": "Good afternoon. How can I help you? Thank you for calling SSI", "session_id": 12146, "sequence_id": 73, "annotations": []}
{"role": "student", "content": "No, what do I have clients can't respondent agent assistant Liam.", "session_id": 12146, "sequence_id": 74, "annotations": [{"pii_type": "PERSON", "surrogate": "Liam", "start": 60, "end": 64}]}
{"role": "student", "content": "Thank you for calling SSI.", "session_id": 12146, "sequence_id": 75, "annotations": []}
{"role": "student", "content": "OK, I'm just gonna continue to take this like 3 X", "session_id": 12146, "sequence_id": 76, "annotations": []}
{"role": "student", "content": "77", "session_id": 12146, "sequence_id": 77, "annotations": []}
{"role": "student", "content": "X minus 7.", "session_id": 12146, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "please turn off your mic", "session_id": 12146, "sequence_id": 79, "annotations": []}
{"role": "student", "content": "+ 3x, then", "session_id": 12146, "sequence_id": 80, "annotations": []}
{"role": "student", "content": "X + 3 X is 4 x.", "session_id": 12146, "sequence_id": 81, "annotations": []}
{"role": "student", "content": "minus 7 equals 77.", "session_id": 12146, "sequence_id": 82, "annotations": []}
{"role": "student", "content": "+ 7 + 7.", "session_id": 12146, "sequence_id": 83, "annotations": []}
{"role": "student", "content": "84", "session_id": 12146, "sequence_id": 84, "annotations": []}
{"role": "student", "content": "4 x equals 84.", "session_id": 12146, "sequence_id": 85, "annotations": []}
{"role": "student", "content": "84 divided by 4.", "session_id": 12146, "sequence_id": 86, "annotations": []}
{"role": "student", "content": "How can I help you?", "session_id": 12146, "sequence_id": 87, "annotations": []}
{"role": "student", "content": "It's 21, so X equals 21.", "session_id": 12146, "sequence_id": 88, "annotations": []}
{"role": "student", "content": "And", "session_id": 12146, "sequence_id": 89, "annotations": []}
{"role": "student", "content": "um", "session_id": 12146, "sequence_id": 90, "annotations": []}
{"role": "student", "content": "Sarah sent 21 text messages. This is Sarah.", "session_id": 12146, "sequence_id": 91, "annotations": [{"pii_type": "PERSON", "surrogate": "Sarah", "start": 0, "end": 5}, {"pii_type": "PERSON", "surrogate": "Sarah", "start": 37, "end": 42}]}
{"role": "student", "content": "21 minus 7.", "session_id": 12146, "sequence_id": 92, "annotations": []}
{"role": "student", "content": "is 14", "session_id": 12146, "sequence_id": 93, "annotations": []}
{"role": "student", "content": "So I read us at 14 messages.", "session_id": 12146, "sequence_id": 94, "annotations": []}
{"role": "student", "content": "And then finally", "session_id": 12146, "sequence_id": 95, "annotations": []}
{"role": "student", "content": "and then finally", "session_id": 12146, "sequence_id": 96, "annotations": []}
{"role": "student", "content": "and Sarah. So Sarah,", "session_id": 12146, "sequence_id": 97, "annotations": [{"pii_type": "PERSON", "surrogate": "Sarah", "start": 4, "end": 9}, {"pii_type": "PERSON", "surrogate": "Sarah", "start": 14, "end": 19}]}
{"role": "student", "content": "did 3 times 21", "session_id": 12146, "sequence_id": 98, "annotations": []}
{"role": "student", "content": "63, so she, she's on 63 text messages.", "session_id": 12146, "sequence_id": 99, "annotations": []}
{"role": "student", "content": "Saturday.", "session_id": 12146, "sequence_id": 100, "annotations": []}
{"role": "student", "content": "01 of my answers is incorrect.", "session_id": 12146, "sequence_id": 101, "annotations": []}
{"role": "volunteer", "content": "it's 2 times, not 3 times", "session_id": 12146, "sequence_id": 102, "annotations": []}
{"role": "student", "content": "OK. Now I have to do more now, OK, but some of the numbers Math 101.", "session_id": 12146, "sequence_id": 103, "annotations": [{"pii_type": "COURSE", "surrogate": "Math 101", "start": 59, "end": 67}]}
{"role": "student", "content": "Second number is 51 in the first. The third number is 4 times the first.", "session_id": 12146, "sequence_id": 104, "annotations": []}
{"role": "student", "content": "A wrong and pro team and a movie.", "session_id": 12146, "sequence_id": 105, "annotations": []}
{"role": "volunteer", "content": "last problmem", "session_id": 12146, "sequence_id": 106, "annotations": []}
{"role": "student", "content": "Um, so I guess I'll just put um", "session_id": 12146, "sequence_id": 107, "annotations": []}
{"role": "student", "content": "X + 5 Plus for 4 X.", "session_id": 12146, "sequence_id": 108, "annotations": []}
{"role": "student", "content": "Thank you", "session_id": 12146, "sequence_id": 109, "annotations": []}
{"role": "volunteer", "content": "but please, please turn off your mic", "session_id": 12146, "sequence_id": 110, "annotations": []}
{"role": "student", "content": "um equals", "session_id": 12146, "sequence_id": 111, "annotations": []}
{"role": "student", "content": "149.", "session_id": 12146, "sequence_id": 112, "annotations": []}
{"role": "student", "content": "Uh", "session_id": 12146, "sequence_id": 113, "annotations": []}
{"role": "student", "content": "I", "session_id": 12146, "sequence_id": 114, "annotations": []}
{"role": "student", "content": "Is this correct so far?", "session_id": 12146, "sequence_id": 115, "annotations": []}
{"role": "volunteer", "content": "I can't tell what you are saying because of your mic", "session_id": 12146, "sequence_id": 116, "annotations": []}
{"role": "student", "content": "bruh all u need to do is listen", "session_id": 12146, "sequence_id": 117, "annotations": []}
{"role": "volunteer", "content": "please turn it off", "session_id": 12146, "sequence_id": 118, "annotations": []}
{"role": "student", "content": "click the speaker button for a reason", "session_id": 12146, "sequence_id": 119, "annotations": []}
{"role": "student", "content": "but nvm", "session_id": 12146, "sequence_id": 120, "annotations": []}
{"role": "volunteer", "content": "there is too much background conversation", "session_id": 12146, "sequence_id": 121, "annotations": []}
{"role": "student", "content": "thats cuz ur reading the transcription", "session_id": 12146, "sequence_id": 122, "annotations": []}
{"role": "volunteer", "content": "Go ahead with the problem.", "session_id": 12146, "sequence_id": 123, "annotations": []}
{"role": "student", "content": "i did", "session_id": 12146, "sequence_id": 124, "annotations": []}
{"role": "student", "content": "bye", "session_id": 12146, "sequence_id": 125, "annotations": []}
{"role": "volunteer", "content": "Hi Alex!", "session_id": 12153, "sequence_id": 0, "annotations": [{"pii_type": "PERSON", "surrogate": "Alex", "start": 3, "end": 7}]}
{"role": "volunteer", "content": "How are you doing today?", "session_id": 12153, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "hi example.comt good", "session_id": 12153, "sequence_id": 2, "annotations": [{"pii_type": "URL", "surrogate": "example.com", "start": 3, "end": 14}]}
{"role": "volunteer", "content": "Oh no! What's the matter?", "session_id": 12153, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "this answer I'm on is hard", "session_id": 12153, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "Well why don't you show it to me and we can work it out!?", "session_id": 12153, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "I'll help you!", "session_id": 12153, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": ":)", "session_id": 12153, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "ok", "session_id": 12153, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "its \"write equivalent fractions for 1/5 and 7/8 using the least common denominator\".", "session_id": 12153, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "hello Belen?", "session_id": 12153, "sequence_id": 10, "annotations": [{"pii_type": "PERSON", "surrogate": "Belen", "start": 6, "end": 11}]}
{"role": "volunteer", "content": "Yes I'm here", "session_id": 12153, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "I am just processing the question! :)", "session_id": 12153, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "ohh", "session_id": 12153, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 12153, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "are you writing it down", "session_id": 12153, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "Mentally, yeah. But I feel like I get it now!", "session_id": 12153, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "Let me show you rq", "session_id": 12153, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "what is an rq", "session_id": 12153, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "rq = real quick", "session_id": 12153, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "My bad I thought you knew", "session_id": 12153, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "ohhhhhh ok", "session_id": 12153, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "Okay, pay attention now.", "session_id": 12153, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "I am", "session_id": 12153, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "So to make the fractions equivalent, we first have to make the denominators the same!", "session_id": 12153, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "Oh okay great!", "session_id": 12153, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "So to do this, what can we multiply by to have 5 and 8 equal each other?", "session_id": 12153, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "Hello?", "session_id": 12153, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "ummm 40", "session_id": 12153, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "right?", "session_id": 12153, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "Well we have to get there, but I'm asking what we multiply by.", "session_id": 12153, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "But you're on the right track!", "session_id": 12153, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "Yes that's correct!", "session_id": 12153, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "ok", "session_id": 12153, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "So it would look something like this (see whiteboard)", "session_id": 12153, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "Does that make sense?", "session_id": 12153, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "ya", "session_id": 12153, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "Great! So what would our final products be? (Show on the whiteboard)", "session_id": 12153, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "Yes that's right!", "session_id": 12153, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "Good job!", "session_id": 12153, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "yay", "session_id": 12153, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "can you trun your mic on Belen?", "session_id": 12153, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "I can! Would you prefer it if I did?", "session_id": 12153, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "ya wait are you a guy?", "session_id": 12153, "sequence_id": 43, "annotations": []}
{"role": "student", "content": "Belen", "session_id": 12153, "sequence_id": 44, "annotations": [{"pii_type": "PERSON", "surrogate": "Belen", "start": 0, "end": 5}]}
{"role": "volunteer", "content": "I am a girl", "session_id": 12153, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "ohhhh", "session_id": 12153, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "Belen", "session_id": 12153, "sequence_id": 47, "annotations": [{"pii_type": "PERSON", "surrogate": "Belen", "start": 0, "end": 5}]}
{"role": "student", "content": "can you trun ur mic on tho", "session_id": 12153, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "Yes! One sec", "session_id": 12153, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "Hello", "session_id": 12153, "sequence_id": 50, "annotations": []}
{"role": "student", "content": "omg HIIIII", "session_id": 12153, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "Can you hear me?", "session_id": 12153, "sequence_id": 52, "annotations": []}
{"role": "student", "content": "yaa", "session_id": 12153, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "OK, great", "session_id": 12153, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "So, do you wanna talk?", "session_id": 12153, "sequence_id": 55, "annotations": []}
{"role": "student", "content": "I can but ya", "session_id": 12153, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "OK, great", "session_id": 12153, "sequence_id": 57, "annotations": []}
{"role": "student", "content": "I meant I'm in my class rn", "session_id": 12153, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "Oh, so.", "session_id": 12153, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "do you wanna just talk over text.", "session_id": 12153, "sequence_id": 60, "annotations": []}
{"role": "student", "content": "ya but I'll talk to you when I get home ...GOOD?", "session_id": 12153, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 12153, "sequence_id": 62, "annotations": []}
{"role": "student", "content": "Belen", "session_id": 12153, "sequence_id": 63, "annotations": [{"pii_type": "PERSON", "surrogate": "Belen", "start": 0, "end": 5}]}
{"role": "volunteer", "content": "Is there anything else you need from me though?", "session_id": 12153, "sequence_id": 64, "annotations": []}
{"role": "student", "content": "ya", "session_id": 12153, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "Okay, what's up?", "session_id": 12153, "sequence_id": 66, "annotations": []}
{"role": "student", "content": "its write 2/5 in lowest terms", "session_id": 12153, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "Oh but 2/5 is already in lowest terms!", "session_id": 12153, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "Is it asking for like a decimal format?", "session_id": 12153, "sequence_id": 69, "annotations": []}
{"role": "student", "content": "...>-<....", "session_id": 12153, "sequence_id": 70, "annotations": []}
{"role": "student", "content": "umm I think hold on", "session_id": 12153, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "Okay!", "session_id": 12153, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "Take your time!", "session_id": 12153, "sequence_id": 73, "annotations": []}
{"role": "student", "content": "here(look at whitebord)", "session_id": 12153, "sequence_id": 74, "annotations": []}
{"role": "volunteer", "content": "Oh I see it!", "session_id": 12153, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "But yeah like I said 2/5 is already in lowest terms", "session_id": 12153, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "So you're good!", "session_id": 12153, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "Hi Maria! What can I help you with today?", "session_id": 12169, "sequence_id": 0, "annotations": [{"pii_type": "PERSON", "surrogate": "Maria", "start": 3, "end": 8}]}
{"role": "student", "content": "Im wanting to learn some new math equations theorems", "session_id": 12169, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "Are there any concepts in particular you'd like to work on?", "session_id": 12169, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "Im mostly struggling with multiplying decimals.", "session_id": 12169, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "Okay then! Would you like to start off with some practise questions?", "session_id": 12169, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "Yeah I'll try", "session_id": 12169, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "Just a moment, Maria", "session_id": 12169, "sequence_id": 6, "annotations": [{"pii_type": "PERSON", "surrogate": "Maria", "start": 15, "end": 20}]}
{"role": "student", "content": "okay.", "session_id": 12169, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "Could you start by trying to attempt one question, so I can see where you might be struggling?", "session_id": 12169, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "Okay", "session_id": 12169, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "Would it be just like normal multiplication", "session_id": 12169, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "Yes, start off with normal multiplication", "session_id": 12169, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "And then we'll proceed to the next step", "session_id": 12169, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "I got 13.2", "session_id": 12169, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "Maria, there appears to be some kind of a calculation error. Would you like me to show you how to do this?", "session_id": 12169, "sequence_id": 14, "annotations": [{"pii_type": "PERSON", "surrogate": "Maria", "start": 0, "end": 5}]}
{"role": "student", "content": "Yea sure.", "session_id": 12169, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "Upto here, we disregard the decimal places", "session_id": 12169, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "That don't make sense", "session_id": 12169, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "What part specifically doesn't make sense?", "session_id": 12169, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "How you did that", "session_id": 12169, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "I'm so confused", "session_id": 12169, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "Does that make sense more?", "session_id": 12169, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "OHHHHHH", "session_id": 12169, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "Great! Do you understand how I got that?", "session_id": 12169, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "Not rlly", "session_id": 12169, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "So we solve using the same way that I just did, but add a 0 at the end since that number is not in the last place", "session_id": 12169, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "Oh", "session_id": 12169, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "Then we add the two together", "session_id": 12169, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "Now, since we're multiplying decimals, we look at the number of digits after the decimal point in each of the numbers we're multiplying together", "session_id": 12169, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "And we add them up", "session_id": 12169, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "soooo 17.02+?", "session_id": 12169, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "And that is how many places away from the last digit the decimal point will be", "session_id": 12169, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "Yes!", "session_id": 12169, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "Does that sound good?", "session_id": 12169, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "I mean I get 1+1=2 but what do you have to add with 17.02?", "session_id": 12169, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "You don't add anything to 17.02\nWhat we got from the mutiplication result, and we use 1+1 to find where to put the decimal place. Otherwise, it could be 17.2, which is a very different number!", "session_id": 12169, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "Does that make sense?", "session_id": 12169, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "OhHH so does that just mean to move the decimal?", "session_id": 12169, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "Yes!", "session_id": 12169, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "ohh", "session_id": 12169, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "I'm writing it down rq", "session_id": 12169, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "Yes, no worries. Once you're done, shall we attempt some other questios?", "session_id": 12169, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "**questions?", "session_id": 12169, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "yea", "session_id": 12169, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "Let me know once you're done :)", "session_id": 12169, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "almost done", "session_id": 12169, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "Okay I got it written down!", "session_id": 12169, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "Great!", "session_id": 12169, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "Could I erase the whiteboard so that I can display the questions I want you to try?", "session_id": 12169, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 12169, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "Could you try part 5?", "session_id": 12169, "sequence_id": 50, "annotations": []}
{"role": "student", "content": "Yea", "session_id": 12169, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "I wrote it down in my notebook cuz I'm not used to writing on the board.", "session_id": 12169, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "no worries", "session_id": 12169, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "Yes, that answer is perfect!", "session_id": 12169, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "You got it!", "session_id": 12169, "sequence_id": 55, "annotations": []}
{"role": "student", "content": "Yay!!", "session_id": 12169, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "Would you like to attempt another question, or do you think you're clear on the topic?", "session_id": 12169, "sequence_id": 57, "annotations": []}
{"role": "student", "content": "Yea I can try", "session_id": 12169, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "Let's try part 2", "session_id": 12169, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "Hey! You were very close with that answer", "session_id": 12169, "sequence_id": 60, "annotations": []}
{"role": "student", "content": "oh", "session_id": 12169, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "Yes, it the digits we get after multiplying, but there's also a 0 at the end from 2x0=0", "session_id": 12169, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "so the demical place is once to the right", "session_id": 12169, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "And the answer becomes 41.6", "session_id": 12169, "sequence_id": 64, "annotations": []}
{"role": "student", "content": "ohhhh", "session_id": 12169, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "The answer to part one is absolutely right!", "session_id": 12169, "sequence_id": 66, "annotations": []}
{"role": "student", "content": "yay", "session_id": 12169, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "Would you like to attempt part 6?", "session_id": 12169, "sequence_id": 68, "annotations": []}
{"role": "student", "content": "Your very sweet\ud83d\ude01", "session_id": 12169, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "Thank you!", "session_id": 12169, "sequence_id": 70, "annotations": []}
{"role": "student", "content": "I got 23.92", "session_id": 12169, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "Yes! Correct again!", "session_id": 12169, "sequence_id": 72, "annotations": []}
{"role": "student", "content": "yes!", "session_id": 12169, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "Great job! Do you want to attempt more questions?", "session_id": 12169, "sequence_id": 74, "annotations": []}
{"role": "volunteer", "content": "perfect!", "session_id": 12169, "sequence_id": 75, "annotations": []}
{"role": "student", "content": "Yaey", "session_id": 12169, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "Nope! That is also correct, you don't need to move the decimal point", "session_id": 12169, "sequence_id": 77, "annotations": []}
{"role": "student", "content": "Okay", "session_id": 12169, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "You're doing a great job! You can move onto the next question", "session_id": 12169, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "Good job! Right again", "session_id": 12169, "sequence_id": 80, "annotations": []}
{"role": "student", "content": "Yay", "session_id": 12169, "sequence_id": 81, "annotations": []}
{"role": "volunteer", "content": "The first one here is right. The number of decimal places begins from the end of the number :)", "session_id": 12169, "sequence_id": 82, "annotations": []}
{"role": "student", "content": "okay", "session_id": 12169, "sequence_id": 83, "annotations": []}
{"role": "student", "content": "Okay", "session_id": 12169, "sequence_id": 84, "annotations": []}
{"role": "volunteer", "content": "I apologise for the late reply, I had to leave my computer for a moment", "session_id": 12169, "sequence_id": 85, "annotations": []}
{"role": "volunteer", "content": "These are correct! Do you feel confident in your ability to multiply decimals?", "session_id": 12169, "sequence_id": 86, "annotations": []}
{"role": "student", "content": "Okay I am so sorry but I have to leave and have a blessed day and that's okay! And yes\u2665\ufe0f", "session_id": 12169, "sequence_id": 87, "annotations": []}
{"role": "volunteer", "content": "Thank you so much! I hope this session helped. I'll be ending the session now, Maria :)", "session_id": 12169, "sequence_id": 88, "annotations": [{"pii_type": "PERSON", "surrogate": "Maria", "start": 79, "end": 84}]}
{"role": "student", "content": "Bye", "session_id": 12169, "sequence_id": 89, "annotations": []}
{"role": "student", "content": "Using the Pythagorean triplet ", "session_id": 12206, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "Howdy !", "session_id": 12206, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "I need help with phythagorean theorem to solve x ", "session_id": 12206, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "Hello good afternoon!", "session_id": 12206, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "Okay, got it.", "session_id": 12206, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "So where in the picture is the right angle?", "session_id": 12206, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "Upper right?", "session_id": 12206, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "Bottom right?", "session_id": 12206, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "Upper right.", "session_id": 12206, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "I put it on the white board ", "session_id": 12206, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "Yes, I see it but that angle in the upper right is definitely not 90 - makes me think it's the angle on the bottom right.", "session_id": 12206, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "Oh sorry, let me re draw it", "session_id": 12206, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "Ah, so 17 is the measure of the hypotenuse, right", "session_id": 12206, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "?", "session_id": 12206, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 12206, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "Okay so far?", "session_id": 12206, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "So, in this case how would I do the phythagorean tripe triplet ", "session_id": 12206, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "Theorem ", "session_id": 12206, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "Just solve for x", "session_id": 12206, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "Oh, and then match it up with the other numbers from the triplet!", "session_id": 12206, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "Ohh ok thank you! I got it now", "session_id": 12206, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "x = 15.", "session_id": 12206, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "Make sense?", "session_id": 12206, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "Right, yes it does", "session_id": 12206, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "So your \"triplet\" would be 8, 15, and 17.", "session_id": 12206, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "Oh okk thank you!! ", "session_id": 12206, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "Anything else?", "session_id": 12206, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "I understand it more", "session_id": 12206, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "Nope! Thats it thank you ", "session_id": 12206, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "Cool - best of luck to you then !!!", "session_id": 12206, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "Hi", "session_id": 12244, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "Hello", "session_id": 12244, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "Could i get help on my homework please", "session_id": 12244, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "sure! you can post an image of your problem, or write it on the board, or type it in the chat", "session_id": 12244, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "i think ive done 1-3 but im stuck on 4", "session_id": 12244, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "ok, give me a minute to read through the problem", "session_id": 12244, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "what did you get for the answer?", "session_id": 12244, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "well i have the equation y=299+871.50=361.25+299 and 361.5 = 660.25", "session_id": 12244, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "can you tell me what you got for 1-3?", "session_id": 12244, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "1.P for amount of people", "session_id": 12244, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 12244, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "2.y=299+871.50", "session_id": 12244, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "3.y=361.25+299", "session_id": 12244, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "lets go back to #2. I don't think its correct", "session_id": 12244, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "okay", "session_id": 12244, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "should p be with 361.25 so y=299p+871.50?", "session_id": 12244, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "It says in the problem that they want each person to pay #361.25 total for the trip (this includes the price of the 3-day ticket)", "session_id": 12244, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "$ not #", "session_id": 12244, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "so 361.25.25+871.50?", "session_id": 12244, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "well, $871.50 is total cost of rental. so each person will pay $871.50/p", "session_id": 12244, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "if they only want to pay $361.25 each, 361.25.25-299=cost of rental for each person", "session_id": 12244, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "how would it be minus?", "session_id": 12244, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "lets say you only 361.25.25 to spend and you know 299 goes to but the ticket. how much do you have left to pay towards the vacation rental?", "session_id": 12244, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "62.25", "session_id": 12244, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "right", "session_id": 12244, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "from there we can actually find out how many people are needed to go on this trip. (personally I dont think this problem is organized very well, but lets keep going)", "session_id": 12244, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "we know the vacation rental is $871.50 and the cost per person is 62.25. so how can we find out how many people are needed to keep the cost down?", "session_id": 12244, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "divide", "session_id": 12244, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 12244, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "so 14 people", "session_id": 12244, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 12244, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "so where would we place that in the equation?", "session_id": 12244, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "now we just need to figure out what is needed for each part of this problem", "session_id": 12244, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "wait nevermind", "session_id": 12244, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "so for 3 would it 361.25.25x14?", "session_id": 12244, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "+299*", "session_id": 12244, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "im thinking on how to answer pleaseease bear with me", "session_id": 12244, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "ok, i think #3 should 299+62.25", "session_id": 12244, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "because we know 299 per ticket (per person) plus 62.25 per person for the rental", "session_id": 12244, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "ohhh so then 361.25.25 for the answer", "session_id": 12244, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 12244, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "so then we set the 2 expressions = in #4", "session_id": 12244, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "would we still need the p for #4 because we already know its 14?", "session_id": 12244, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "this is where my opinion about how this problem is not set up very well :) (pretend we don't know that p=14)", "session_id": 12244, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "solve the equation in #4", "session_id": 12244, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "you should get p=14", "session_id": 12244, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "yep\\", "session_id": 12244, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "so then 5 would be 14 people can attend the trip", "session_id": 12244, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "ok, finally #5 :) what does 14 represent?", "session_id": 12244, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "yes, exactly!", "session_id": 12244, "sequence_id": 49, "annotations": []}
{"role": "student", "content": "okay thank you so much", "session_id": 12244, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "you're welcome! that was a very round about way to arrive at the solution, right?", "session_id": 12244, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "yes definitely lol", "session_id": 12244, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "any other problems today?", "session_id": 12244, "sequence_id": 53, "annotations": []}
{"role": "student", "content": "one should have popped up", "session_id": 12244, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "I see it", "session_id": 12244, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "ok, what do you have for #7?", "session_id": 12244, "sequence_id": 56, "annotations": []}
{"role": "student", "content": "x = amount of games", "session_id": 12244, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "ok. have you written an equation yet for #8?", "session_id": 12244, "sequence_id": 58, "annotations": []}
{"role": "student", "content": "i was thinking y = 11.47 +9.55 = 12.50 +3.95+1.48", "session_id": 12244, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "really close! you just need x next to 11.47 and 12.50", "session_id": 12244, "sequence_id": 60, "annotations": []}
{"role": "student", "content": "11.47x or 12.50x?", "session_id": 12244, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "both", "session_id": 12244, "sequence_id": 62, "annotations": []}
{"role": "student", "content": "good point", "session_id": 12244, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "go ahead and solve, then tell me what you got", "session_id": 12244, "sequence_id": 64, "annotations": []}
{"role": "student", "content": "1.3687 but it doesnt look correct", "session_id": 12244, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "no, you should get a whole number", "session_id": 12244, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "did you get what i got for first step?", "session_id": 12244, "sequence_id": 67, "annotations": []}
{"role": "student", "content": "yes", "session_id": 12244, "sequence_id": 68, "annotations": []}
{"role": "student", "content": "then i subtracted that from 9.55", "session_id": 12244, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "yes. is this what you got?", "session_id": 12244, "sequence_id": 70, "annotations": []}
{"role": "student", "content": "yes", "session_id": 12244, "sequence_id": 71, "annotations": []}
{"role": "student", "content": "Ohh thats what i did wrong", "session_id": 12244, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "found your mistake?", "session_id": 12244, "sequence_id": 73, "annotations": []}
{"role": "student", "content": "yes", "session_id": 12244, "sequence_id": 74, "annotations": []}
{"role": "volunteer", "content": "ok, what is x?", "session_id": 12244, "sequence_id": 75, "annotations": []}
{"role": "student", "content": "4", "session_id": 12244, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "yes, and what does it represent?", "session_id": 12244, "sequence_id": 77, "annotations": []}
{"role": "student", "content": "how many games he's played", "session_id": 12244, "sequence_id": 78, "annotations": []}
{"role": "student", "content": "at each", "session_id": 12244, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "right", "session_id": 12244, "sequence_id": 80, "annotations": []}
{"role": "volunteer", "content": "so that is what you say in #9", "session_id": 12244, "sequence_id": 81, "annotations": []}
{"role": "volunteer", "content": "\"he played 4 games at each place\"", "session_id": 12244, "sequence_id": 82, "annotations": []}
{"role": "student", "content": "yes", "session_id": 12244, "sequence_id": 83, "annotations": []}
{"role": "volunteer", "content": "what do you think about #10?", "session_id": 12244, "sequence_id": 84, "annotations": []}
{"role": "student", "content": "if you plug it in they do not make sense and you cant really play half a game of bowling", "session_id": 12244, "sequence_id": 85, "annotations": []}
{"role": "volunteer", "content": "right!", "session_id": 12244, "sequence_id": 86, "annotations": []}
{"role": "student", "content": "that one was definitely easier than the first one", "session_id": 12244, "sequence_id": 87, "annotations": []}
{"role": "student", "content": "thank you!", "session_id": 12244, "sequence_id": 88, "annotations": []}
{"role": "volunteer", "content": "i agree", "session_id": 12244, "sequence_id": 89, "annotations": []}
{"role": "volunteer", "content": "you are welcome! have a good day Alex!", "session_id": 12244, "sequence_id": 90, "annotations": [{"pii_type": "PERSON", "surrogate": "Alex", "start": 33, "end": 37}]}
{"role": "student", "content": "you too", "session_id": 12244, "sequence_id": 91, "annotations": []}
{"role": "student", "content": "homework", "session_id": 12243, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "homework help", "session_id": 12243, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "Hey, I'm Mark, how are you?", "session_id": 12243, "sequence_id": 2, "annotations": [{"pii_type": "PERSON", "surrogate": "Mark", "start": 9, "end": 13}]}
{"role": "student", "content": "Hi. I need some help", "session_id": 12243, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "Could you maybe type out the problems or upload or a higher quality picture? I can't really read the problems", "session_id": 12243, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "The picture is too large to send via email so I will try using the laptop camera", "session_id": 12243, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "Can you see them now?", "session_id": 12243, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "Almost, I am unable to see the numbers though in the chart", "session_id": 12243, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "Perfect, has your teacher show you how to solve this with a table?", "session_id": 12243, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "no", "session_id": 12243, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "Interesting, I'm assuming you are trying to solve the questions with a ven diagram.", "session_id": 12243, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "yes", "session_id": 12243, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "Is the ven diagram you have on the right of the graph completed?", "session_id": 12243, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "yes", "session_id": 12243, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "Great, now for question b, how many students do we have in total?", "session_id": 12243, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "50", "session_id": 12243, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "And now, remember our ven diagram shows all the toppings people got and how many right?", "session_id": 12243, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "yes", "session_id": 12243, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "So in our ven diagram, how many people do we know got toppings?", "session_id": 12243, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "(Hint: You can add up all the values in the ven diagram to figure out your total)", "session_id": 12243, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "ok I thought so and then changed my mind.  I will add them up", "session_id": 12243, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "45", "session_id": 12243, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "ok so 5 would be 1/10 then", "session_id": 12243, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "Exactly, it would be (50-45)/50", "session_id": 12243, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "Do you know the notation for this answer already?", "session_id": 12243, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "which question?", "session_id": 12243, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "Question b", "session_id": 12243, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "5/50 = 1/10", "session_id": 12243, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "I mean more so the probability notation. Like you have in part c, d, e: the P(M or E), P(B and E)", "session_id": 12243, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "I'm not sure how", "session_id": 12243, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "That's alright! For probability, there is no clear way to always notate an answer.", "session_id": 12243, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "So here, we calculated the probability that someone did not get a topping right?", "session_id": 12243, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "yes", "session_id": 12243, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "So, we could just simply write it as \nP(No topping) = 1/10", "session_id": 12243, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "ahh ok, thanks", "session_id": 12243, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "If you'd like we could do the back side, though you would need to take another picture again", "session_id": 12243, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "ok doing it now", "session_id": 12243, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "Okay, for part a, how can we calculate our total amount of people in the study?\n\nAlso, if you want any clarification on any steps or ever don't know, please just let me know.", "session_id": 12243, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "add all of the numbers", "session_id": 12243, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "Great, so adding all the numbers in the ven diagram should give us our total", "session_id": 12243, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "So, what will that give us?", "session_id": 12243, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "1448", "session_id": 12243, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "Could you double check your numbers? I may have added incorrectly since I can't see the numbers completely clearly but I did get something different", "session_id": 12243, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "It is 1466", "session_id": 12243, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "Great, so there 1466 people represented in our study.", "session_id": 12243, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "What groups of people is part b asking about?", "session_id": 12243, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "the probability of someone using a patch or gum", "session_id": 12243, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "So, to calculate our total for someone in the patch OR gum groups, we are just finding the total amount of people in those groups right?", "session_id": 12243, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "How can we calculate the total amount of people in those groups?", "session_id": 12243, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "by adding all of the numbers in only those circles", "session_id": 12243, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "Exactly, so how many people used either the patch or gum?", "session_id": 12243, "sequence_id": 50, "annotations": []}
{"role": "student", "content": "I believe it's 1,208", "session_id": 12243, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "Great, 1,208 people used either the patch or gum.", "session_id": 12243, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "But, we need to divide this number by the total in the entire study to figure out our probability right?", "session_id": 12243, "sequence_id": 53, "annotations": []}
{"role": "student", "content": "P(patch or gum)=1208/1466", "session_id": 12243, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "Great! Now, one notation thing to know. Whenever you have an or like that. Simply just replace it with a U", "session_id": 12243, "sequence_id": 55, "annotations": []}
{"role": "student", "content": "That is actually what I handwrote", "session_id": 12243, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "Okay, perfect, what groups is part c asking about?", "session_id": 12243, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "What groups does it say to NOT include?", "session_id": 12243, "sequence_id": 58, "annotations": []}
{"role": "student", "content": "the probability of someone trying to quit by not using a patch or gum", "session_id": 12243, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "So, we would get our total from all the numbers NOT inside the patches or gum group right?", "session_id": 12243, "sequence_id": 60, "annotations": []}
{"role": "student", "content": "yes", "session_id": 12243, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "So, what is our total now", "session_id": 12243, "sequence_id": 62, "annotations": []}
{"role": "student", "content": "258?", "session_id": 12243, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "Perfect, we actually have two numbers to add this time: 86 + 172", "session_id": 12243, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "To find our probability, we divide by our total right?", "session_id": 12243, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "So what is our final answer?", "session_id": 12243, "sequence_id": 66, "annotations": []}
{"role": "student", "content": "P(Lozenges U none)=258/1,466", "session_id": 12243, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "Great! However, here you calculated the probability of someone using the Lozenges AND None.", "session_id": 12243, "sequence_id": 68, "annotations": []}
{"role": "student", "content": "so an N", "session_id": 12243, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "So, you would use \nP(Lozenges \u2229 None) = 258/1466", "session_id": 12243, "sequence_id": 70, "annotations": []}
{"role": "student", "content": "how did you get the sign", "session_id": 12243, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "Exactly, a great way to remember is you could honestly read it as \nP(Lozenges n None)", "session_id": 12243, "sequence_id": 72, "annotations": []}
{"role": "student", "content": "ok", "session_id": 12243, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "Which kinda just sounds like Lozenges and None.", "session_id": 12243, "sequence_id": 74, "annotations": []}
{"role": "volunteer", "content": "I searched up \"and symbol probability\" and copy and pasted it into here lol", "session_id": 12243, "sequence_id": 75, "annotations": []}
{"role": "student", "content": "haha", "session_id": 12243, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "Now, for part d, what groups is it asking about?", "session_id": 12243, "sequence_id": 77, "annotations": []}
{"role": "student", "content": "probability of someone trying to quit using using both patch and gum", "session_id": 12243, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "So, we can calculate the total by adding values this time?", "session_id": 12243, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "By adding what values this time?*", "session_id": 12243, "sequence_id": 80, "annotations": []}
{"role": "student", "content": "the gum and patch", "session_id": 12243, "sequence_id": 81, "annotations": []}
{"role": "volunteer", "content": "So what is our final probability?", "session_id": 12243, "sequence_id": 82, "annotations": []}
{"role": "student", "content": "P(patch n gum)= 1,006/1,466", "session_id": 12243, "sequence_id": 83, "annotations": []}
{"role": "volunteer", "content": "Not exactly, this time we want the people who used the patch AND gum.", "session_id": 12243, "sequence_id": 84, "annotations": []}
{"role": "student", "content": "ohh ok", "session_id": 12243, "sequence_id": 85, "annotations": []}
{"role": "volunteer", "content": "So we only want to add up the people in where they overlap on the diagram", "session_id": 12243, "sequence_id": 86, "annotations": []}
{"role": "volunteer", "content": "Because only those people used both", "session_id": 12243, "sequence_id": 87, "annotations": []}
{"role": "student", "content": "1,208/1,466", "session_id": 12243, "sequence_id": 88, "annotations": []}
{"role": "volunteer", "content": "Not exactly, could you circle on the diagram on the whiteboard where the patch and gum group OVERLAP?", "session_id": 12243, "sequence_id": 89, "annotations": []}
{"role": "volunteer", "content": "Exactly! So our total should only come from there for this question", "session_id": 12243, "sequence_id": 90, "annotations": []}
{"role": "student", "content": "so only that small section inbetween?", "session_id": 12243, "sequence_id": 91, "annotations": []}
{"role": "volunteer", "content": "Exactly, because it's asking for those who used the patch AND gum, so only those who used both. In our venn diagram, we know the people who used both is where the patch circle and the gum circle overlap", "session_id": 12243, "sequence_id": 92, "annotations": []}
{"role": "student", "content": "146/1466", "session_id": 12243, "sequence_id": 93, "annotations": []}
{"role": "volunteer", "content": "Because those numbers are in the patch circle AND the gum circle", "session_id": 12243, "sequence_id": 94, "annotations": []}
{"role": "volunteer", "content": "How would you do it in probability notation?", "session_id": 12243, "sequence_id": 95, "annotations": []}
{"role": "student", "content": "P(patch n gum)= 146/1466", "session_id": 12243, "sequence_id": 96, "annotations": []}
{"role": "volunteer", "content": "Great! Now, part e is a little tricky.", "session_id": 12243, "sequence_id": 97, "annotations": []}
{"role": "volunteer", "content": "Notice, it says \"given that they also used gum.\"", "session_id": 12243, "sequence_id": 98, "annotations": []}
{"role": "volunteer", "content": "This means, your numbers should only come from people who used gum.", "session_id": 12243, "sequence_id": 99, "annotations": []}
{"role": "student", "content": "P(lozenge I gum)=", "session_id": 12243, "sequence_id": 100, "annotations": []}
{"role": "volunteer", "content": "Exactly, do you know what our total is already?", "session_id": 12243, "sequence_id": 101, "annotations": []}
{"role": "student", "content": "not yet, let me do that", "session_id": 12243, "sequence_id": 102, "annotations": []}
{"role": "student", "content": "P(lozenge I gum)= 487/1466", "session_id": 12243, "sequence_id": 103, "annotations": []}
{"role": "volunteer", "content": "Not exactly, in this problem because it says \"given that they also used gum,\"\nit's basically saying, we want to know the amount of people who used the lozenge from the gum group ONLY.", "session_id": 12243, "sequence_id": 104, "annotations": []}
{"role": "volunteer", "content": "So instead of dividing by 1466, we divide by our total in the gum group?", "session_id": 12243, "sequence_id": 105, "annotations": []}
{"role": "volunteer", "content": "What is our total in the gum group?", "session_id": 12243, "sequence_id": 106, "annotations": []}
{"role": "student", "content": "I added the patch by accident", "session_id": 12243, "sequence_id": 107, "annotations": []}
{"role": "volunteer", "content": "No, you actually calculated 487 correctly. 487 is the sum of everyone who used gum right?", "session_id": 12243, "sequence_id": 108, "annotations": []}
{"role": "volunteer", "content": "Could you circle on the whiteboard how many people used the lozenge AND gum", "session_id": 12243, "sequence_id": 109, "annotations": []}
{"role": "volunteer", "content": "Exactly, now since remember it says\n\"given that they also used gum\"\nso the amount we will divide by will be the amount of people in the GUM group.", "session_id": 12243, "sequence_id": 110, "annotations": []}
{"role": "volunteer", "content": "What is the total amount of people in the gum group?", "session_id": 12243, "sequence_id": 111, "annotations": []}
{"role": "student", "content": "239", "session_id": 12243, "sequence_id": 112, "annotations": []}
{"role": "volunteer", "content": "Try again, remember you have to add EVERY number in the gum circle to find the total for that group.", "session_id": 12243, "sequence_id": 113, "annotations": []}
{"role": "student", "content": "381", "session_id": 12243, "sequence_id": 114, "annotations": []}
{"role": "volunteer", "content": "Almost, I believe you are mssing one more number to add", "session_id": 12243, "sequence_id": 115, "annotations": []}
{"role": "volunteer", "content": "Double check the chart again, what numbers are in the gum circle?", "session_id": 12243, "sequence_id": 116, "annotations": []}
{"role": "student", "content": "487", "session_id": 12243, "sequence_id": 117, "annotations": []}
{"role": "volunteer", "content": "Great, so instead of dividing by 1466, we divide by 487 now, because it says\n\"given that they also used gum\"", "session_id": 12243, "sequence_id": 118, "annotations": []}
{"role": "volunteer", "content": "Now, in the gum circle, could you circle the people who used lozenges as well", "session_id": 12243, "sequence_id": 119, "annotations": []}
{"role": "volunteer", "content": "Not exactly, since you want the amount of people who used lozenges in the gum circle, you only want the numbers in the gum circle AND the lozenge circle", "session_id": 12243, "sequence_id": 120, "annotations": []}
{"role": "volunteer", "content": "Exactly, what is our total there?", "session_id": 12243, "sequence_id": 121, "annotations": []}
{"role": "student", "content": "142", "session_id": 12243, "sequence_id": 122, "annotations": []}
{"role": "volunteer", "content": "142 people used the lozenges and also used the gum.", "session_id": 12243, "sequence_id": 123, "annotations": []}
{"role": "volunteer", "content": "Recall, how many people used the gum?", "session_id": 12243, "sequence_id": 124, "annotations": []}
{"role": "student", "content": "487", "session_id": 12243, "sequence_id": 125, "annotations": []}
{"role": "volunteer", "content": "So, now we will divide 142 because it is telling us\n\"given that they also used gum\"", "session_id": 12243, "sequence_id": 126, "annotations": []}
{"role": "student", "content": "P(lozenge I gum)= 142/487", "session_id": 12243, "sequence_id": 127, "annotations": []}
{"role": "volunteer", "content": "Exactly, this is basically saying, of 487 people who used gum, 142 ALSO USED lozenges.", "session_id": 12243, "sequence_id": 128, "annotations": []}
{"role": "volunteer", "content": "Which is exactly what they asked saying \n\"Using a lozenge given that they also used gum\"", "session_id": 12243, "sequence_id": 129, "annotations": []}
{"role": "student", "content": "ohh ok", "session_id": 12243, "sequence_id": 130, "annotations": []}
{"role": "volunteer", "content": "Now, look at part f, what probability are we trying to find now?", "session_id": 12243, "sequence_id": 131, "annotations": []}
{"role": "volunteer", "content": "P(What | What)?", "session_id": 12243, "sequence_id": 132, "annotations": []}
{"role": "student", "content": "the probability that someone using a lozenge and no gum", "session_id": 12243, "sequence_id": 133, "annotations": []}
{"role": "volunteer", "content": "Exactly, in probability notation what does that look like?", "session_id": 12243, "sequence_id": 134, "annotations": []}
{"role": "student", "content": "P(lozenge | no gum)", "session_id": 12243, "sequence_id": 135, "annotations": []}
{"role": "volunteer", "content": "Great, so now what is the total we will divide by?", "session_id": 12243, "sequence_id": 136, "annotations": []}
{"role": "volunteer", "content": "What groups are we going to look at to find our total we divide by here?", "session_id": 12243, "sequence_id": 137, "annotations": []}
{"role": "student", "content": "no gum", "session_id": 12243, "sequence_id": 138, "annotations": []}
{"role": "volunteer", "content": "Here, it says\n\"given they did not use gum\"\nso this is what we will divide by.\nHow many people in total did not use gum?", "session_id": 12243, "sequence_id": 139, "annotations": []}
{"role": "student", "content": "979", "session_id": 12243, "sequence_id": 140, "annotations": []}
{"role": "volunteer", "content": "Great, 979 did NOT use gum, which is what we will divide by in the end because it says\n\"given they did not use gum\"", "session_id": 12243, "sequence_id": 141, "annotations": []}
{"role": "volunteer", "content": "So, could you circle on the diagram how many people used lozenges, that did not use gum", "session_id": 12243, "sequence_id": 142, "annotations": []}
{"role": "student", "content": "232/979?", "session_id": 12243, "sequence_id": 143, "annotations": []}
{"role": "volunteer", "content": "Exactly, and now, in probability notation?", "session_id": 12243, "sequence_id": 144, "annotations": []}
{"role": "student", "content": "P(lozenges | no gum)= 232/979", "session_id": 12243, "sequence_id": 145, "annotations": []}
{"role": "volunteer", "content": "Perfect, for a quick recap, remember that U is for \"or\" in between your probabilities.", "session_id": 12243, "sequence_id": 146, "annotations": []}
{"role": "volunteer", "content": "\u2229 is for \"and\" in between your probabilities.", "session_id": 12243, "sequence_id": 147, "annotations": []}
{"role": "student", "content": "I have a sheet of paper from class that tells me all 3", "session_id": 12243, "sequence_id": 148, "annotations": []}
{"role": "volunteer", "content": "Perfect!", "session_id": 12243, "sequence_id": 149, "annotations": []}
{"role": "volunteer", "content": "When it tells you to find a probability \n\"given that\" something else,\nthe amount of that something else is what you will divide by", "session_id": 12243, "sequence_id": 150, "annotations": []}
{"role": "volunteer", "content": "That one will be the most important likely as it is an easy mistake to make even if you know what you are doing. So, just make sure you understand exactly what groups it's referring to when it asks that", "session_id": 12243, "sequence_id": 151, "annotations": []}
{"role": "student", "content": "ok", "session_id": 12243, "sequence_id": 152, "annotations": []}
{"role": "volunteer", "content": "I'm assuming that is all, unless you have more, then feel free to put it up, so whenever you are ready, just leave the chat when you are ready.\nHave a good day!", "session_id": 12243, "sequence_id": 153, "annotations": []}
{"role": "student", "content": "no that is all. Thank you and you too!", "session_id": 12243, "sequence_id": 154, "annotations": []}
{"role": "volunteer", "content": "hello", "session_id": 12240, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "how are you", "session_id": 12240, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "good", "session_id": 12240, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "wabu", "session_id": 12240, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "good", "session_id": 12240, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "what can I help you", "session_id": 12240, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "give me a moment", "session_id": 12240, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 12240, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "what should i do next", "session_id": 12240, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "solve the equation", "session_id": 12240, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "how?", "session_id": 12240, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "does that make sense?", "session_id": 12240, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "not realy", "session_id": 12240, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "oh wait yesh", "session_id": 12240, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "so now you understand?", "session_id": 12240, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "yesh", "session_id": 12240, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "any other question?", "session_id": 12240, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "yes", "session_id": 12240, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "put in", "session_id": 12240, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "whiteboard", "session_id": 12240, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "i did", "session_id": 12240, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "ok I see now", "session_id": 12240, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "does the equation make sense?", "session_id": 12240, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "Or do you understand the equation?", "session_id": 12240, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "is 25/23 corect", "session_id": 12240, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "wait", "session_id": 12240, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "you were wrong here", "session_id": 12240, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "ware?", "session_id": 12240, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "it should cross multiply", "session_id": 12240, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "ooooh", "session_id": 12240, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "so whats the aswrer?", "session_id": 12240, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "2.3", "session_id": 12240, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "ooooh ok", "session_id": 12240, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "any others?", "session_id": 12240, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "yesh", "session_id": 12240, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 12240, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "can you show me how to gain?", "session_id": 12240, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "do you mean how to gain the equation?", "session_id": 12240, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "no can u show me it again", "session_id": 12240, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "wait , I am sorry ,I am confused now", "session_id": 12240, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "can u show me how to do it again", "session_id": 12240, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 12240, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "so you 840 minutes in 2 wweeks", "session_id": 12240, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "mhm", "session_id": 12240, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "and then we set x minutes for 4 weeks", "session_id": 12240, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "so", "session_id": 12240, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "that is", "session_id": 12240, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "idk", "session_id": 12240, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 12240, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "so the only thing equal here", "session_id": 12240, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "is how much time she practiceone week", "session_id": 12240, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "so we can do", "session_id": 12240, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "840 divided by 2", "session_id": 12240, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "we get she practice 420 minutes one week", "session_id": 12240, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "does that make sense so far?", "session_id": 12240, "sequence_id": 54, "annotations": []}
{"role": "student", "content": "Sarah", "session_id": 12240, "sequence_id": 55, "annotations": [{"pii_type": "PERSON", "surrogate": "Sarah", "start": 0, "end": 5}]}
{"role": "volunteer", "content": "ok", "session_id": 12240, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "then we need how much time she practice for 4 weeks", "session_id": 12240, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "we already know she practice 420 minutes for 1 week", "session_id": 12240, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "so we times 4", "session_id": 12240, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "Then we get the final answer", "session_id": 12240, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "does that make sense?", "session_id": 12240, "sequence_id": 61, "annotations": []}
{"role": "student", "content": "ye", "session_id": 12240, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "ok now you understand?", "session_id": 12240, "sequence_id": 63, "annotations": []}
{"role": "student", "content": "yas", "session_id": 12240, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "next one", "session_id": 12240, "sequence_id": 65, "annotations": []}
{"role": "student", "content": "oop i gtg", "session_id": 12240, "sequence_id": 66, "annotations": []}
{"role": "student", "content": "dinner", "session_id": 12240, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 12240, "sequence_id": 68, "annotations": []}
{"role": "student", "content": "David", "session_id": 12240, "sequence_id": 69, "annotations": [{"pii_type": "PERSON", "surrogate": "David", "start": 0, "end": 5}]}
{"role": "volunteer", "content": "don't worry", "session_id": 12240, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "have a good night", "session_id": 12240, "sequence_id": 71, "annotations": []}
{"role": "student", "content": "u too", "session_id": 12240, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "hello!", "session_id": 12258, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "Hi can you turn your mic on so its easier to communicate", "session_id": 12258, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "sure, give me a moment", "session_id": 12258, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "ok Thank you", "session_id": 12258, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "Hello", "session_id": 12258, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "Can you hear me", "session_id": 12258, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "is it working?", "session_id": 12258, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "No", "session_id": 12258, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "Hello", "session_id": 12258, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "Can you hear me now", "session_id": 12258, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "Now ya", "session_id": 12258, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "OK, great", "session_id": 12258, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "Hi", "session_id": 12258, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "Hello.", "session_id": 12258, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "Um", "session_id": 12258, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "I was wondering if you could help me deepen my understand like my understanding on solving inequalities.", "session_id": 12258, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "and graphing", "session_id": 12258, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 12258, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 12258, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "OK. OK. Um, do you have any, any problems or homework questions that we can look at?", "session_id": 12258, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "Uh, I did them, but I was having trouble like", "session_id": 12258, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "with the word problems, like,", "session_id": 12258, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "my teacher gave me word problems, like, and then I have to make it in a in a quality expression.", "session_id": 12258, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "from those, and then solve it.", "session_id": 12258, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "OK, OK. Do you think an uphold the question onto like the the whiteboard.", "session_id": 12258, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "Uh, how do I do that", "session_id": 12258, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "Oh", "session_id": 12258, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "OK", "session_id": 12258, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "Oh yeah, I see it", "session_id": 12258, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "Um, like there's like on the bottom there's like a picture icon with a little up arrow. You can insert images from there.", "session_id": 12258, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "OK, yeah, hold on", "session_id": 12258, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 12258, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "Can you read that", "session_id": 12258, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "Yes, OK. Number 7?", "session_id": 12258, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 12258, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "OK.", "session_id": 12258, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "Syringes start her own business.", "session_id": 12258, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "Do you have any idea of how to like get started on this question?", "session_id": 12258, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "Yeah, so what I did was um", "session_id": 12258, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "I did", "session_id": 12258, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "I identified the X variable, which is um the amount of boxes she needs to sell.", "session_id": 12258, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "Hm.", "session_id": 12258, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "And I did um 20 X", "session_id": 12258, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "wait, what did I do", "session_id": 12258, "sequence_id": 43, "annotations": []}
{"role": "student", "content": "uh", "session_id": 12258, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "I did", "session_id": 12258, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "20 x minus 65 is", "session_id": 12258, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "greater than or equal 225.", "session_id": 12258, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "X minus 65, greater than equal to 2 to 5. Yeah, that's right.", "session_id": 12258, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "OK. Um, so I, that's the equation you have, which is good.", "session_id": 12258, "sequence_id": 49, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 12258, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "Yeah.", "session_id": 12258, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "OK. So, um, from there, like, it's very similar to how you solve like a regular equation, except when you multiply the negative one, you have to switch.", "session_id": 12258, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "It's like, you know that.", "session_id": 12258, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "So", "session_id": 12258, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "OK.", "session_id": 12258, "sequence_id": 55, "annotations": []}
{"role": "student", "content": "Yeah, that's what I'm having trouble with, like, I keep forgetting to switch the, the like symbol thing.", "session_id": 12258, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "OK, OK", "session_id": 12258, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "So do you want me to like write it down on a notebook on the board or, or I can write it down somewhere and we can just do this question.", "session_id": 12258, "sequence_id": 58, "annotations": []}
{"role": "student", "content": "Uh, can you write it down cause I'm not good at writing this stuff on the board.", "session_id": 12258, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "Oh, OK. All right. Give me a second.", "session_id": 12258, "sequence_id": 60, "annotations": []}
{"role": "student", "content": "use a piece of paper and write it down. I am. I did.", "session_id": 12258, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "Mm", "session_id": 12258, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 12258, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "So", "session_id": 12258, "sequence_id": 64, "annotations": []}
{"role": "student", "content": "um", "session_id": 12258, "sequence_id": 65, "annotations": []}
{"role": "student", "content": "m.", "session_id": 12258, "sequence_id": 66, "annotations": []}
{"role": "student", "content": "No.", "session_id": 12258, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "can you still hear me", "session_id": 12258, "sequence_id": 68, "annotations": []}
{"role": "student", "content": "no", "session_id": 12258, "sequence_id": 69, "annotations": []}
{"role": "student", "content": "your mic is off", "session_id": 12258, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "can you hear me now?", "session_id": 12258, "sequence_id": 71, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 12258, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "OK, OK, that's good. All right. That's just I switched the device, maybe that's why. OK, so here, um, so we just first say that let x be the number of boxes that's we go we to find the variable there.", "session_id": 12258, "sequence_id": 73, "annotations": []}
{"role": "student", "content": "Uh-huh", "session_id": 12258, "sequence_id": 74, "annotations": []}
{"role": "volunteer", "content": "and then uh we write down the equation, which is what you said earlier, 20 x minus 65, greater than or equal 225. Do you know why we put the greater than or equal to site instead of just the greater than sign?", "session_id": 12258, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "Yes.", "session_id": 12258, "sequence_id": 76, "annotations": []}
{"role": "student", "content": "Uh, because in the equation it says um of at least 225, so she can 225 or more.", "session_id": 12258, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "OK, very good. That's good. That's exactly the reason. And then, um, well, what we do afterwards is just solve this. So", "session_id": 12258, "sequence_id": 78, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 12258, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "um, I don't know how, how you, you got taught at school, but usually what I think what people do is, uh, first we add 65 to both sides. This is the same as how you would solve a regular equation.", "session_id": 12258, "sequence_id": 80, "annotations": []}
{"role": "volunteer", "content": "OK. So we get, 20 X greater than equal 290.", "session_id": 12258, "sequence_id": 81, "annotations": []}
{"role": "student", "content": "Yeah, that's what I got.", "session_id": 12258, "sequence_id": 82, "annotations": []}
{"role": "volunteer", "content": "Yeah. OK. So, and then you divide 2, the both sides by 20.", "session_id": 12258, "sequence_id": 83, "annotations": []}
{"role": "student", "content": "Mhm", "session_id": 12258, "sequence_id": 84, "annotations": []}
{"role": "student", "content": "I got the pills", "session_id": 12258, "sequence_id": 85, "annotations": []}
{"role": "volunteer", "content": "OK, you have this.", "session_id": 12258, "sequence_id": 86, "annotations": []}
{"role": "volunteer", "content": "right", "session_id": 12258, "sequence_id": 87, "annotations": []}
{"role": "student", "content": "42258.", "session_id": 12258, "sequence_id": 88, "annotations": []}
{"role": "volunteer", "content": "Yes, but the thing was this one is that, um.", "session_id": 12258, "sequence_id": 89, "annotations": []}
{"role": "volunteer", "content": "this does not give us a whole number answer. It gives like a decimal.", "session_id": 12258, "sequence_id": 90, "annotations": []}
{"role": "student", "content": "Yeah, so would I put at least 15 boxes then?", "session_id": 12258, "sequence_id": 91, "annotations": []}
{"role": "volunteer", "content": "Yes, so since X has to be a fault, like a whole number, uh, it has to be an integer positive integer, so we just put 15. So that, that will be the answer here.", "session_id": 12258, "sequence_id": 92, "annotations": []}
{"role": "student", "content": "OK", "session_id": 12258, "sequence_id": 93, "annotations": []}
{"role": "student", "content": "Uh, I also have a, a different question that's like that, and it was in", "session_id": 12258, "sequence_id": 94, "annotations": []}
{"role": "student", "content": "I'll, I'll upload it right now.", "session_id": 12258, "sequence_id": 95, "annotations": []}
{"role": "volunteer", "content": "Yeah.", "session_id": 12258, "sequence_id": 96, "annotations": []}
{"role": "student", "content": "Uh, this is two questions. Is that OK?", "session_id": 12258, "sequence_id": 97, "annotations": []}
{"role": "volunteer", "content": "Of course. OK. Um, yeah, I'll clear what we had before. So the board is", "session_id": 12258, "sequence_id": 98, "annotations": []}
{"role": "volunteer", "content": "yeah", "session_id": 12258, "sequence_id": 99, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 12258, "sequence_id": 100, "annotations": []}
{"role": "volunteer", "content": "OK. OK. Oh.", "session_id": 12258, "sequence_id": 101, "annotations": []}
{"role": "volunteer", "content": "All right. Oh my God.", "session_id": 12258, "sequence_id": 102, "annotations": []}
{"role": "volunteer", "content": "That's", "session_id": 12258, "sequence_id": 103, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 12258, "sequence_id": 104, "annotations": []}
{"role": "volunteer", "content": "take a look. OK. Um, first question number 9. A taxi charges a flat rate of $1.75 plus an additional 0 0.65 per mile. If Chloe has almost has a almost $10 to spend on the cab ride, how far could she travel? OK?", "session_id": 12258, "sequence_id": 105, "annotations": [{"pii_type": "PERSON", "surrogate": "Chloe", "start": 121, "end": 126}]}
{"role": "volunteer", "content": "Um, I think this question is fairly similar to the other one. do you wanna tell me like what your ideas are for this one for now?", "session_id": 12258, "sequence_id": 106, "annotations": []}
{"role": "volunteer", "content": "Mhm.", "session_id": 12258, "sequence_id": 107, "annotations": []}
{"role": "student", "content": "Uh, I put 1.75 + 0.65 x is", "session_id": 12258, "sequence_id": 108, "annotations": []}
{"role": "student", "content": "less than or equal to 10.", "session_id": 12258, "sequence_id": 109, "annotations": []}
{"role": "volunteer", "content": "Yes", "session_id": 12258, "sequence_id": 110, "annotations": []}
{"role": "student", "content": "Um, and then I would subtract the 1.75 from both sides.", "session_id": 12258, "sequence_id": 111, "annotations": []}
{"role": "volunteer", "content": "Mhm", "session_id": 12258, "sequence_id": 112, "annotations": []}
{"role": "student", "content": "And then I would get 8.25 or 0.65 x is less than equal to 8.25.", "session_id": 12258, "sequence_id": 113, "annotations": []}
{"role": "student", "content": "And then I divide both sides by 0.65.", "session_id": 12258, "sequence_id": 114, "annotations": []}
{"role": "volunteer", "content": "Mhm", "session_id": 12258, "sequence_id": 115, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 12258, "sequence_id": 116, "annotations": []}
{"role": "student", "content": "And then when I did that, I got X's lesson equal to 12.69, but like if you actually did that on the calculator, it would give you like a repeating decimal. So I just switch to 0.69", "session_id": 12258, "sequence_id": 117, "annotations": []}
{"role": "volunteer", "content": "OK. Uh, let's see what the question says.", "session_id": 12258, "sequence_id": 118, "annotations": []}
{"role": "student", "content": "What", "session_id": 12258, "sequence_id": 119, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 12258, "sequence_id": 120, "annotations": []}
{"role": "volunteer", "content": "Um, so because it's like per mile and we can have like 1.5 miles or something, so I, I don't, does it, yeah, so it doesn't have to be integer. So I", "session_id": 12258, "sequence_id": 121, "annotations": []}
{"role": "volunteer", "content": "think you could just, OK, I think you should round down. So, um let me just do that quickly on my calculator.", "session_id": 12258, "sequence_id": 122, "annotations": []}
{"role": "volunteer", "content": "Oh", "session_id": 12258, "sequence_id": 123, "annotations": []}
{"role": "volunteer", "content": "8.25 divided by 0.65.", "session_id": 12258, "sequence_id": 124, "annotations": []}
{"role": "volunteer", "content": "Yeah, that's 12.69 something something something.", "session_id": 12258, "sequence_id": 125, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 12258, "sequence_id": 126, "annotations": []}
{"role": "volunteer", "content": "So it, oh my god.", "session_id": 12258, "sequence_id": 127, "annotations": []}
{"role": "volunteer", "content": "One second.", "session_id": 12258, "sequence_id": 128, "annotations": []}
{"role": "volunteer", "content": "Oh, OK", "session_id": 12258, "sequence_id": 129, "annotations": []}
{"role": "student", "content": "OK", "session_id": 12258, "sequence_id": 130, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 12258, "sequence_id": 131, "annotations": []}
{"role": "volunteer", "content": "OK. So in this case, um, I would, depending on what your teacher wants, like how, how wants how you to round it, I would just leave it at 12.69 or, you know, if you just go with like significant digits or something, I'll put 2 digits. It depends on what your teacher wants, but remember to round down, don't round up, because we cannot go over the $10 limit, that's all.", "session_id": 12258, "sequence_id": 132, "annotations": []}
{"role": "student", "content": "OK. OK. So she can write at most 12.69 miles with the $10 that she has, correct?", "session_id": 12258, "sequence_id": 133, "annotations": []}
{"role": "volunteer", "content": "Yeah, yeah", "session_id": 12258, "sequence_id": 134, "annotations": []}
{"role": "student", "content": "OK", "session_id": 12258, "sequence_id": 135, "annotations": []}
{"role": "student", "content": "Um", "session_id": 12258, "sequence_id": 136, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 12258, "sequence_id": 137, "annotations": []}
{"role": "student", "content": "I had most trouble with the number 10, I think out of all of them for some reason.", "session_id": 12258, "sequence_id": 138, "annotations": []}
{"role": "volunteer", "content": "Maria is a wrestler trying to make a weight. She currently weighs 200 pounds. If he cuts 2 pounds per week, how many weeks will it take him to weigh less 175 pounds. OK.", "session_id": 12258, "sequence_id": 139, "annotations": [{"pii_type": "PERSON", "surrogate": "Maria", "start": 0, "end": 5}]}
{"role": "student", "content": "Yeah", "session_id": 12258, "sequence_id": 140, "annotations": []}
{"role": "student", "content": "OK", "session_id": 12258, "sequence_id": 141, "annotations": []}
{"role": "volunteer", "content": "Did you do you think you can give me the equation here?", "session_id": 12258, "sequence_id": 142, "annotations": []}
{"role": "student", "content": "Uh, yeah, 200 minus 2 x is lesser and equal 175.", "session_id": 12258, "sequence_id": 143, "annotations": []}
{"role": "volunteer", "content": "Yes. OK. Um, yeah, I could, I, I can maybe see why you have trouble having trouble cause there's a negative side, that's OK. So, um, what would you do in this case?", "session_id": 12258, "sequence_id": 144, "annotations": []}
{"role": "student", "content": "Uh, subtracts 200 from both sides.", "session_id": 12258, "sequence_id": 145, "annotations": []}
{"role": "volunteer", "content": "Mhm", "session_id": 12258, "sequence_id": 146, "annotations": []}
{"role": "student", "content": "And I would get -2 X is lesser and equal to -25.", "session_id": 12258, "sequence_id": 147, "annotations": []}
{"role": "volunteer", "content": "Yes", "session_id": 12258, "sequence_id": 148, "annotations": []}
{"role": "student", "content": "And then I divide -2 by both sides.", "session_id": 12258, "sequence_id": 149, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 12258, "sequence_id": 150, "annotations": []}
{"role": "volunteer", "content": "Any?", "session_id": 12258, "sequence_id": 151, "annotations": []}
{"role": "volunteer", "content": "Mhm", "session_id": 12258, "sequence_id": 152, "annotations": []}
{"role": "student", "content": "And I think what I messed up was on because I forgot to flip the the inequality symbol. So this one, if I were to like get the actual answer, it'd be X is greater than or equal to 12.5, but I accidentally put X's lesser and equal to 12.5 instead, but now I know my stay.", "session_id": 12258, "sequence_id": 153, "annotations": []}
{"role": "volunteer", "content": "Mhm. Yeah. Yeah, so when it comes to dividing both sides by a negative number or just 1, you have to make sure to flip the eco sign and then like I can show you cause a very simple reason of why, cause for example, if, if we just say, uh one is smaller than 3. This is correct, right, cause we know 1 smaller than 3.", "session_id": 12258, "sequence_id": 154, "annotations": []}
{"role": "student", "content": "Yeah.", "session_id": 12258, "sequence_id": 155, "annotations": []}
{"role": "volunteer", "content": "So if we were to divide both sides with negative 1 of times by -1 or whatever.", "session_id": 12258, "sequence_id": 156, "annotations": []}
{"role": "student", "content": "-1 would be greater than.", "session_id": 12258, "sequence_id": 157, "annotations": []}
{"role": "volunteer", "content": "Yeah, oh, in this case, -1 will be OK if we just flip times 1 and then we do not flip the sign.", "session_id": 12258, "sequence_id": 158, "annotations": []}
{"role": "student", "content": "Mhm", "session_id": 12258, "sequence_id": 159, "annotations": []}
{"role": "student", "content": "Mhm.", "session_id": 12258, "sequence_id": 160, "annotations": []}
{"role": "volunteer", "content": "same sign, we will get a negative one is smaller and 3. That's not true. So this is also a kind of like uh in number wise, which is why you have to flip the sign every time, so just don't forget that and then it will mess up your thing a lot. Always flip.", "session_id": 12258, "sequence_id": 161, "annotations": []}
{"role": "volunteer", "content": "the side", "session_id": 12258, "sequence_id": 162, "annotations": []}
{"role": "student", "content": "OK. Thank you.", "session_id": 12258, "sequence_id": 163, "annotations": []}
{"role": "student", "content": "Uh.", "session_id": 12258, "sequence_id": 164, "annotations": []}
{"role": "volunteer", "content": "OK, yeah, and then I think that's all", "session_id": 12258, "sequence_id": 165, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 12258, "sequence_id": 166, "annotations": []}
{"role": "student", "content": "Yeah, that's all. Thank you. Thank you for your time.", "session_id": 12258, "sequence_id": 167, "annotations": []}
{"role": "volunteer", "content": "No worries", "session_id": 12258, "sequence_id": 168, "annotations": []}
{"role": "student", "content": "All right, bye", "session_id": 12258, "sequence_id": 169, "annotations": []}
{"role": "volunteer", "content": "Bye-bye", "session_id": 12258, "sequence_id": 170, "annotations": []}
{"role": "volunteer", "content": "hello", "session_id": 12223, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "Hi", "session_id": 12223, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "is BC = 12 or something cutoff", "session_id": 12223, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "I have two math problems I need to be explained, I put the first one on the whiteboard", "session_id": 12223, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "Nothing got cut off I think", "session_id": 12223, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "yes, i'm missing the right side", "session_id": 12223, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "please move to the left", "session_id": 12223, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "ok got it", "session_id": 12223, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "Ok srry, my screen must look a little different from yours", "session_id": 12223, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "ok, lets start drawing these graphs", "session_id": 12223, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "I have trouble drawing with my mouse.", "session_id": 12223, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "What does collinear mean to you", "session_id": 12223, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "I have no idea", "session_id": 12223, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "collinear means that all the points are on the same line", "session_id": 12223, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "Ok", "session_id": 12223, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "So do I write the two problems equal to each other then solve", "session_id": 12223, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "Honestly I need to think about this for awhile.", "session_id": 12223, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "Let me draw on a piece of paper here and see what I come up with and then I can better explain to you", "session_id": 12223, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "Ok", "session_id": 12223, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "I got 8 and 33 as my answers btw", "session_id": 12223, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "I'm not sure i understand the question.", "session_id": 12223, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "if AC = 12x +40 hen A and C should be on that line.  But B needs to be on that line also", "session_id": 12223, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "My teacher ended up helping so it ok", "session_id": 12223, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "Thanks though", "session_id": 12223, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "OK so what was the answer, explain to me how she did it", "session_id": 12223, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "She did the ab plus bc = ac and i solved to find x then plugged x back in", "session_id": 12223, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "ok so AB is 33 and x = 8.  However what are the points A, B, and C that are collinear", "session_id": 12223, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "I think she said they just don\u2019t matter", "session_id": 12223, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "hello! I do not understand these types of questions at all so please bear with me", "session_id": 12303, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "Hello!", "session_id": 12303, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "How are you?", "session_id": 12303, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "that's fine!", "session_id": 12303, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "let's go over these!", "session_id": 12303, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "The graph shows the vertical asymptote is x=\u22121.", "session_id": 12303, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "Does this make sense?", "session_id": 12303, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "This means h=\u22121, and the argument of the logarithm is (x\u2212(\u22121))=(x+1).", "session_id": 12303, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "wait what is h?", "session_id": 12303, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "the y value?", "session_id": 12303, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "h in the context of the logarithmic function equation.", "session_id": 12303, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "but i get the log would be loga (x+1) +/- b", "session_id": 12303, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "got it", "session_id": 12303, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "Okay!'", "session_id": 12303, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "but my issue is with finding the base", "session_id": 12303, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "Substitute b=2 and k=\u22123 into the equation.", "session_id": 12303, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "where did you get those values from and what is K?", "session_id": 12303, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "like that?", "session_id": 12303, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "Point\u00a0(0,\u22123)=(h+1,k)\u27f9(\u22121+1,k)=(0,k)\nk=\u22123", "session_id": 12303, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "H and K are from the equation.", "session_id": 12303, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "The graph passes through the point (7,0).\nx=7 and f(x)=0 into the equation:\n\n0=log b\n\u200b\n (7+1)\u22123 0=log b\n\u200b\n (8)\u22123 3=log  b\n (8)", "session_id": 12303, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "ohh ok", "session_id": 12303, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "Do you know this equation?", "session_id": 12303, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "no my teacher totally skipped over this section", "session_id": 12303, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "ok so i should memorize that?", "session_id": 12303, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "Okay!", "session_id": 12303, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "That equation is correct!", "session_id": 12303, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "what about that?", "session_id": 12303, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "is it correct?", "session_id": 12303, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "You should actually only get 2", "session_id": 12303, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "what happens to the 8?", "session_id": 12303, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "Assuming no vertical stretch/compression (a=1), the equation is now: f(x)=log \nb (x+1)\u22123.", "session_id": 12303, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "0=log b\n\u200b\n (7+1)\u221230=log b\n\u200b\n (8)\u221233=log b (8)", "session_id": 12303, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "is a always equal to 1 if there is no vertical stretch?", "session_id": 12303, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "b= root 8\n\n\u200b\n \nb=2", "session_id": 12303, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "Yes.", "session_id": 12303, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "I don't know if you learned it differently.", "session_id": 12303, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "wait gimme a moment to process this and no i didn't learn it at all apparently the taught way was wrong most of the time", "session_id": 12303, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "\"Assuming no vertical stretch/compression (a=1), the equation is now: f(x)=log\nb (x+1)\u22123.\" wait where did the negitive 3 come from ?", "session_id": 12303, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "and what is log1 (x? is it solvable? like what to the power of 1 is equal to 8?", "session_id": 12303, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "-3 comes from the vertical shift (k) of the graph.", "session_id": 12303, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "im so sorry im so confused maybe you can start from the begging and just work it out and ill try to follow that way", "session_id": 12303, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "beginning*", "session_id": 12303, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "Okay!", "session_id": 12303, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "I'll work on the board!", "session_id": 12303, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "okay!", "session_id": 12303, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "wait pause for a moment im confused", "session_id": 12303, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "Yes?", "session_id": 12303, "sequence_id": 47, "annotations": []}
{"role": "student", "content": "oh i wrote it on the board so you know what im reffering to", "session_id": 12303, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "its in red", "session_id": 12303, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "Yes it\u2019s equal to -2", "session_id": 12303, "sequence_id": 50, "annotations": []}
{"role": "student", "content": "oh you found that the base is 2 because it can only be 2 that has a power that can equal it to 4 not base 3?", "session_id": 12303, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "We were comparing two points on the same log graph:", "session_id": 12303, "sequence_id": 52, "annotations": []}
{"role": "student", "content": "ok wait i think i understand! im going to do 66 on my own just to see if i turly understand it", "session_id": 12303, "sequence_id": 53, "annotations": []}
{"role": "student", "content": "truly", "session_id": 12303, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "Okay great!", "session_id": 12303, "sequence_id": 55, "annotations": []}
{"role": "student", "content": "oh wait im stuck lemme write what im doing on the board", "session_id": 12303, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 12303, "sequence_id": 57, "annotations": []}
{"role": "student", "content": "i dont know how to find k", "session_id": 12303, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "k is 0", "session_id": 12303, "sequence_id": 59, "annotations": []}
{"role": "student", "content": "wait how", "session_id": 12303, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "\u22121=\u2212log2\u200b2+k\u21d2\u22121=\u22121+k\u21d2k=0", "session_id": 12303, "sequence_id": 61, "annotations": []}
{"role": "student", "content": "why is log2 of 2 negative?", "session_id": 12303, "sequence_id": 62, "annotations": []}
{"role": "student", "content": "did i do it wrong", "session_id": 12303, "sequence_id": 63, "annotations": []}
{"role": "student", "content": "oh i see what i did wrong", "session_id": 12303, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "Okay!", "session_id": 12303, "sequence_id": 65, "annotations": []}
{"role": "student", "content": "is that when it becomes negitive?", "session_id": 12303, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "Yes", "session_id": 12303, "sequence_id": 67, "annotations": []}
{"role": "student", "content": "is that correct?", "session_id": 12303, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "Yes!", "session_id": 12303, "sequence_id": 69, "annotations": []}
{"role": "student", "content": "yay! do you have time to wait for me to do 67? it looks hard", "session_id": 12303, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "Sure!", "session_id": 12303, "sequence_id": 71, "annotations": []}
{"role": "student", "content": "thank you sm!", "session_id": 12303, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "No problem!", "session_id": 12303, "sequence_id": 73, "annotations": []}
{"role": "student", "content": "im stuck again lemme write on the board", "session_id": 12303, "sequence_id": 74, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 12303, "sequence_id": 75, "annotations": []}
{"role": "student", "content": "oh wait i see what i did wrong i forgot to reflect", "session_id": 12303, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 12303, "sequence_id": 77, "annotations": []}
{"role": "student", "content": "ok im still confused so im just gunna write the part where you find the base", "session_id": 12303, "sequence_id": 78, "annotations": []}
{"role": "student", "content": "i have no clue what the base would be", "session_id": 12303, "sequence_id": 79, "annotations": []}
{"role": "student", "content": "is it 2?", "session_id": 12303, "sequence_id": 80, "annotations": []}
{"role": "volunteer", "content": "1/2", "session_id": 12303, "sequence_id": 81, "annotations": []}
{"role": "student", "content": "how did you find that?", "session_id": 12303, "sequence_id": 82, "annotations": []}
{"role": "volunteer", "content": "logb \u200b2=\u22121", "session_id": 12303, "sequence_id": 83, "annotations": []}
{"role": "student", "content": "why does it equal -1? would it not be -1 minus -2?", "session_id": 12303, "sequence_id": 84, "annotations": []}
{"role": "volunteer", "content": "logb\u200b2\u21d21=\u2212logb\u200b2\u21d2logb\u200b2=\u22121", "session_id": 12303, "sequence_id": 85, "annotations": []}
{"role": "student", "content": "wait whaaat i thought when its refected it would be logb -(X-3) i had no idea the negitive goes outside the log", "session_id": 12303, "sequence_id": 86, "annotations": []}
{"role": "student", "content": "i thought it would only be outside the log if reflected by the y axis?", "session_id": 12303, "sequence_id": 87, "annotations": []}
{"role": "volunteer", "content": "log here is negative.", "session_id": 12303, "sequence_id": 88, "annotations": []}
{"role": "student", "content": "oh", "session_id": 12303, "sequence_id": 89, "annotations": []}
{"role": "volunteer", "content": "Yes.", "session_id": 12303, "sequence_id": 90, "annotations": []}
{"role": "student", "content": "ok i actually have to go for a bit but if  your still online then you might be able to accept my request", "session_id": 12303, "sequence_id": 91, "annotations": []}
{"role": "volunteer", "content": "Okay!", "session_id": 12303, "sequence_id": 92, "annotations": []}
{"role": "student", "content": "bye thank you sm!", "session_id": 12303, "sequence_id": 93, "annotations": []}
{"role": "volunteer", "content": "Hello", "session_id": 12310, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "How may I help you this afternoon?", "session_id": 12310, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "how do you do this", "session_id": 12310, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "please explain in detail", "session_id": 12310, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "Do what?", "session_id": 12310, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "the problem", "session_id": 12310, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "What is 8 + 10?", "session_id": 12310, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "18", "session_id": 12310, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "Is that a division symbol in the denominator?", "session_id": 12310, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "yes", "session_id": 12310, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "so you are dividing by a fraction.", "session_id": 12310, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "sure?", "session_id": 12310, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "to divide by a fraction you change the division to multiplication and multiply by the reciprocal'", "session_id": 12310, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "which would be....", "session_id": 12310, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "don't tell me let me figure it out", "session_id": 12310, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "I won't tell you.", "session_id": 12310, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "right", "session_id": 12310, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "no", "session_id": 12310, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "19.8?", "session_id": 12310, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "Again, to divide by a fraction, you change the division to multiplication and flip the second number", "session_id": 12310, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "Give it another try", "session_id": 12310, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "Hello?", "session_id": 12310, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "hi", "session_id": 12310, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "math doesn't make sense", "session_id": 12310, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "do you see how I did it?", "session_id": 12310, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "no", "session_id": 12310, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "Hii! how are you?", "session_id": 12322, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "OK, now at least I have the banner up top.", "session_id": 12322, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "I am good. How are you?", "session_id": 12322, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "I'm good", "session_id": 12322, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "And when I look at the chat, when we just closed, I can see", "session_id": 12322, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "what you wrote now", "session_id": 12322, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "plus x_squared + y_squared.", "session_id": 12322, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "I can see you're writing x_prime + y_prime + Z.", "session_id": 12322, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "and then you can see my squigglers, my squiggles.", "session_id": 12322, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "Alex", "session_id": 12322, "sequence_id": 9, "annotations": [{"pii_type": "PERSON", "surrogate": "Alex", "start": 0, "end": 4}]}
{"role": "student", "content": "do you have your mic off? bcuz it's acting weird. It's unavualbe but i think ur speaking", "session_id": 12322, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "unavailable**", "session_id": 12322, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "You can't hear me", "session_id": 12322, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "no", "session_id": 12322, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "it shows your mic is unavailable", "session_id": 12322, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "How about now", "session_id": 12322, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "Still can't hear me", "session_id": 12322, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "It says you're away too.", "session_id": 12322, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "yeah, i refreshed it", "session_id": 12322, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "OK, you", "session_id": 12322, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "you are back", "session_id": 12322, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "yeah i hear you now", "session_id": 12322, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 12322, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "Um,", "session_id": 12322, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "as", "session_id": 12322, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "for that multivariable problem", "session_id": 12322, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "when you take the full derivative and you add them up.", "session_id": 12322, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "right? Each individual partial derivative.", "session_id": 12322, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "and you're left with", "session_id": 12322, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "um", "session_id": 12322, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "the derivative divided by the inside of the log.", "session_id": 12322, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "You just have to do long division", "session_id": 12322, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "of the numerator", "session_id": 12322, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "I'm sorry, the denominator divided by the numerator.", "session_id": 12322, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "to prove that it's a factor.", "session_id": 12322, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "So I think you said something like U is equal to", "session_id": 12322, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "natural log", "session_id": 12322, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "XQ plus YQ plus Z_cubed minus 3 XYZ.", "session_id": 12322, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "right? And then you prime", "session_id": 12322, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "um", "session_id": 12322, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "would be", "session_id": 12322, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "the 3 X_squared_term.", "session_id": 12322, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "minus 3 YZ over", "session_id": 12322, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "B.", "session_id": 12322, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "We just call this B.", "session_id": 12322, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "plus", "session_id": 12322, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "3Y2.", "session_id": 12322, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "OK, then you have to take", "session_id": 12322, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "I'm just call this A", "session_id": 12322, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "You have to do", "session_id": 12322, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "a long division.", "session_id": 12322, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "B.", "session_id": 12322, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "okay", "session_id": 12322, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "Um,", "session_id": 12322, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "and then you'll be left with the uh right-hand side.", "session_id": 12322, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "The only thing I didn't get though was the negative sign. I don't know where they got that from.", "session_id": 12322, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "Not from the, you know,", "session_id": 12322, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "the squared term.", "session_id": 12322, "sequence_id": 57, "annotations": []}
{"role": "student", "content": "oh, if we do long division we'l get rhs?", "session_id": 12322, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 12322, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "It was like a, it was like I'd said the", "session_id": 12322, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "let me see if I can pull it up again.", "session_id": 12322, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "Where is it", "session_id": 12322, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "Right. So it, it was basically like this.", "session_id": 12322, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "So what you end up with is like the X minus A term.", "session_id": 12322, "sequence_id": 64, "annotations": []}
{"role": "student", "content": "it shows black screen", "session_id": 12322, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "and the derivative is the numerator", "session_id": 12322, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "how about now", "session_id": 12322, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "Can you see the screen now", "session_id": 12322, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "Table 7.2 from the textbook.", "session_id": 12322, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "about rational functions and their partial fractions.", "session_id": 12322, "sequence_id": 70, "annotations": []}
{"role": "student", "content": "yeah i see it now", "session_id": 12322, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "OK. So, it's something similar to this, where you're gonna get", "session_id": 12322, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "the next cube term except we're dealing with um multivariables.", "session_id": 12322, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "But you're gonna get essentially", "session_id": 12322, "sequence_id": 74, "annotations": []}
{"role": "volunteer", "content": "um, the, so the derivative essentially gives you this unfactorable", "session_id": 12322, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "expression", "session_id": 12322, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "and you just do", "session_id": 12322, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "polynomial and dividing it by this unfatable expression to get something like this, this X minus A term.", "session_id": 12322, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "That's why it comes out so cleanly.", "session_id": 12322, "sequence_id": 79, "annotations": []}
{"role": "student", "content": "i wanna try this division", "session_id": 12322, "sequence_id": 80, "annotations": []}
{"role": "volunteer", "content": "cause all we're doing is just factoring it, yeah.", "session_id": 12322, "sequence_id": 81, "annotations": []}
{"role": "volunteer", "content": "That's why I didn't want to show you too much on the board. I just wanted to talk about it.", "session_id": 12322, "sequence_id": 82, "annotations": []}
{"role": "volunteer", "content": "so you can do it yourself", "session_id": 12322, "sequence_id": 83, "annotations": []}
{"role": "volunteer", "content": "You get your terms mixed up", "session_id": 12322, "sequence_id": 84, "annotations": []}
{"role": "volunteer", "content": "other way around.", "session_id": 12322, "sequence_id": 85, "annotations": []}
{"role": "volunteer", "content": "right? Because you're trying to divide a", "session_id": 12322, "sequence_id": 86, "annotations": []}
{"role": "volunteer", "content": "you, you're dividing a sec a third order term by the other one. So you want your B underneath the division sign in your A outside of it.", "session_id": 12322, "sequence_id": 87, "annotations": []}
{"role": "volunteer", "content": "So it'll be the", "session_id": 12322, "sequence_id": 88, "annotations": []}
{"role": "volunteer", "content": "let me show, I guess I'll show you what it looks like. It'll be A_poly + B_poly + C_poly", "session_id": 12322, "sequence_id": 89, "annotations": []}
{"role": "student", "content": "but a is in denominator?", "session_id": 12322, "sequence_id": 90, "annotations": []}
{"role": "volunteer", "content": "A is not the denominator", "session_id": 12322, "sequence_id": 91, "annotations": []}
{"role": "volunteer", "content": "B is in denominator", "session_id": 12322, "sequence_id": 92, "annotations": []}
{"role": "student", "content": "oh right, i mean numerator", "session_id": 12322, "sequence_id": 93, "annotations": []}
{"role": "volunteer", "content": "Yeah, that's correct", "session_id": 12322, "sequence_id": 94, "annotations": []}
{"role": "volunteer", "content": "You are correct. Is it a numerator, but we're trying to prove", "session_id": 12322, "sequence_id": 95, "annotations": []}
{"role": "volunteer", "content": "that", "session_id": 12322, "sequence_id": 96, "annotations": []}
{"role": "volunteer", "content": "the numer the, the term in the numerator is a factor of the denominator.", "session_id": 12322, "sequence_id": 97, "annotations": []}
{"role": "volunteer", "content": "The reason why we're doing this", "session_id": 12322, "sequence_id": 98, "annotations": []}
{"role": "volunteer", "content": "is to show", "session_id": 12322, "sequence_id": 99, "annotations": []}
{"role": "volunteer", "content": "that we can get rid of the numerator by factoring the factoring the denominator and then canceling out the numerator with the denominator.", "session_id": 12322, "sequence_id": 100, "annotations": []}
{"role": "volunteer", "content": "Does that make sense?", "session_id": 12322, "sequence_id": 101, "annotations": []}
{"role": "volunteer", "content": "Basically, we're trying to prove that, you know, that AlphaX + BX + C over X cubed minus A.", "session_id": 12322, "sequence_id": 102, "annotations": []}
{"role": "volunteer", "content": "is equal to BetaX + BX + C over X minus A.", "session_id": 12322, "sequence_id": 103, "annotations": []}
{"role": "volunteer", "content": "times GammaX + BX + C.", "session_id": 12322, "sequence_id": 104, "annotations": []}
{"role": "student", "content": "yeah makes sense, like 3 is factor of 18 so 3 divides 18", "session_id": 12322, "sequence_id": 105, "annotations": []}
{"role": "volunteer", "content": "and that these terms cancel out and you're just left with one over X minus A.", "session_id": 12322, "sequence_id": 106, "annotations": []}
{"role": "volunteer", "content": "That's the idea we're going with", "session_id": 12322, "sequence_id": 107, "annotations": []}
{"role": "volunteer", "content": "Yeah, exactly", "session_id": 12322, "sequence_id": 108, "annotations": []}
{"role": "volunteer", "content": "That's basically what we're trying to do here", "session_id": 12322, "sequence_id": 109, "annotations": []}
{"role": "student", "content": "yeah right", "session_id": 12322, "sequence_id": 110, "annotations": []}
{"role": "volunteer", "content": "But to prove that um", "session_id": 12322, "sequence_id": 111, "annotations": []}
{"role": "volunteer", "content": "that you, that you can get X minus A is you have to do long division of X_cubed minus A cubed.", "session_id": 12322, "sequence_id": 112, "annotations": []}
{"role": "volunteer", "content": "divided by ThetaX + BX + C, you have to divided by that to prove that it's a factor.", "session_id": 12322, "sequence_id": 113, "annotations": []}
{"role": "student", "content": "oh , gotcha", "session_id": 12322, "sequence_id": 114, "annotations": []}
{"role": "volunteer", "content": "I think you're missing a term up here.", "session_id": 12322, "sequence_id": 115, "annotations": []}
{"role": "volunteer", "content": "You should have 6 terms, but you only have 5. You have X cubed,", "session_id": 12322, "sequence_id": 116, "annotations": []}
{"role": "volunteer", "content": "um, you have X cube minus XYZ + XY2 + XZ2 plus or minus X2z, you're missing minus", "session_id": 12322, "sequence_id": 117, "annotations": []}
{"role": "volunteer", "content": "X", "session_id": 12322, "sequence_id": 118, "annotations": []}
{"role": "volunteer", "content": "2 Y", "session_id": 12322, "sequence_id": 119, "annotations": []}
{"role": "volunteer", "content": "cause you have 12340 no, you have 6 down here.", "session_id": 12322, "sequence_id": 120, "annotations": []}
{"role": "volunteer", "content": "Yeah, yeah.", "session_id": 12322, "sequence_id": 121, "annotations": []}
{"role": "volunteer", "content": "you should have that delta_term term.", "session_id": 12322, "sequence_id": 122, "annotations": []}
{"role": "volunteer", "content": "And also, and also down here, you're also missing a term as well.", "session_id": 12322, "sequence_id": 123, "annotations": []}
{"role": "volunteer", "content": "You only have 5 terms, you should have 6 terms.", "session_id": 12322, "sequence_id": 124, "annotations": []}
{"role": "volunteer", "content": "when you multiply by Y", "session_id": 12322, "sequence_id": 125, "annotations": []}
{"role": "volunteer", "content": "I think you're missing the", "session_id": 12322, "sequence_id": 126, "annotations": []}
{"role": "volunteer", "content": "Why do you have", "session_id": 12322, "sequence_id": 127, "annotations": []}
{"role": "volunteer", "content": "to", "session_id": 12322, "sequence_id": 128, "annotations": []}
{"role": "volunteer", "content": "XY squared terms.", "session_id": 12322, "sequence_id": 129, "annotations": []}
{"role": "volunteer", "content": "One of them should be x2y.", "session_id": 12322, "sequence_id": 130, "annotations": []}
{"role": "volunteer", "content": "Yeah, just remember you, you keep, you have to keep dividing by there's 6 different terms. All you're doing is multiplying X, Y, or Z to the six different terms.", "session_id": 12322, "sequence_id": 131, "annotations": []}
{"role": "student", "content": "yeah, Im skpping one term", "session_id": 12322, "sequence_id": 132, "annotations": []}
{"role": "student", "content": "gimme a min", "session_id": 12322, "sequence_id": 133, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 12322, "sequence_id": 134, "annotations": []}
{"role": "volunteer", "content": "I missed the Infinity Board.", "session_id": 12322, "sequence_id": 135, "annotations": []}
{"role": "student", "content": "yeah it was better", "session_id": 12322, "sequence_id": 136, "annotations": []}
{"role": "volunteer", "content": "That looks better.", "session_id": 12322, "sequence_id": 137, "annotations": []}
{"role": "volunteer", "content": "Everything's the right sign", "session_id": 12322, "sequence_id": 138, "annotations": []}
{"role": "student", "content": "I forgot , what do we write the relationshio between quotient, divisor, divident...", "session_id": 12322, "sequence_id": 139, "annotations": []}
{"role": "volunteer", "content": "I mean, no, that, that, that's it. Just um", "session_id": 12322, "sequence_id": 140, "annotations": []}
{"role": "volunteer", "content": "that", "session_id": 12322, "sequence_id": 141, "annotations": []}
{"role": "volunteer", "content": "you, it's just B is equal to A times C.", "session_id": 12322, "sequence_id": 142, "annotations": []}
{"role": "student", "content": "+ remainder right?", "session_id": 12322, "sequence_id": 143, "annotations": []}
{"role": "volunteer", "content": "where A was your numerator, so you're just gonna like a over B does he go to A over AC. There, yeah, plus remainder. The remainder will be like um", "session_id": 12322, "sequence_id": 144, "annotations": []}
{"role": "volunteer", "content": "a, or whatever your C term is.", "session_id": 12322, "sequence_id": 145, "annotations": []}
{"role": "volunteer", "content": "plus", "session_id": 12322, "sequence_id": 146, "annotations": []}
{"role": "volunteer", "content": "the remainder over the.", "session_id": 12322, "sequence_id": 147, "annotations": []}
{"role": "student", "content": "okay", "session_id": 12322, "sequence_id": 148, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 12322, "sequence_id": 149, "annotations": []}
{"role": "student", "content": "we also don't have squared denominator", "session_id": 12322, "sequence_id": 150, "annotations": []}
{"role": "volunteer", "content": "We do, remember? It was um the sum of the derivatives quantity squared. That's where we get the 9 from.", "session_id": 12322, "sequence_id": 151, "annotations": []}
{"role": "student", "content": "oh right, we do", "session_id": 12322, "sequence_id": 152, "annotations": []}
{"role": "volunteer", "content": "This is a question they wanted us to solve.", "session_id": 12322, "sequence_id": 153, "annotations": []}
{"role": "student", "content": "only - missing", "session_id": 12322, "sequence_id": 154, "annotations": []}
{"role": "volunteer", "content": "Correct, and I don't know", "session_id": 12322, "sequence_id": 155, "annotations": []}
{"role": "volunteer", "content": "how they get that if it's squared.", "session_id": 12322, "sequence_id": 156, "annotations": []}
{"role": "volunteer", "content": "And that's not something you can just", "session_id": 12322, "sequence_id": 157, "annotations": []}
{"role": "volunteer", "content": "mess up on. That's, that's very, um,", "session_id": 12322, "sequence_id": 158, "annotations": []}
{"role": "volunteer", "content": "intentional, that negative side.", "session_id": 12322, "sequence_id": 159, "annotations": []}
{"role": "student", "content": "these people doesn't sound very likeable", "session_id": 12322, "sequence_id": 160, "annotations": []}
{"role": "volunteer", "content": "Very true.", "session_id": 12322, "sequence_id": 161, "annotations": []}
{"role": "volunteer", "content": "Um", "session_id": 12322, "sequence_id": 162, "annotations": []}
{"role": "volunteer", "content": "did you want to try to figure out the negative sign or we can move on to another problem.", "session_id": 12322, "sequence_id": 163, "annotations": []}
{"role": "volunteer", "content": "Cause we did the majority of the work.", "session_id": 12322, "sequence_id": 164, "annotations": []}
{"role": "volunteer", "content": "It's just that pesky", "session_id": 12322, "sequence_id": 165, "annotations": []}
{"role": "volunteer", "content": "pesky negative sign", "session_id": 12322, "sequence_id": 166, "annotations": []}
{"role": "student", "content": "yeah let's move to another question", "session_id": 12322, "sequence_id": 167, "annotations": []}
{"role": "student", "content": "but don't erase it", "session_id": 12322, "sequence_id": 168, "annotations": []}
{"role": "volunteer", "content": "You want me to wipe", "session_id": 12322, "sequence_id": 169, "annotations": []}
{"role": "volunteer", "content": "Don't erase, don't erase, OK.", "session_id": 12322, "sequence_id": 170, "annotations": []}
{"role": "volunteer", "content": "You OK", "session_id": 12322, "sequence_id": 171, "annotations": []}
{"role": "volunteer", "content": "Are you copying and pasting or just trying to write down the", "session_id": 12322, "sequence_id": 172, "annotations": []}
{"role": "volunteer", "content": "the solution", "session_id": 12322, "sequence_id": 173, "annotations": []}
{"role": "student", "content": "i was taking screenshot", "session_id": 12322, "sequence_id": 174, "annotations": []}
{"role": "volunteer", "content": "OK.", "session_id": 12322, "sequence_id": 175, "annotations": []}
{"role": "student", "content": "I was trying to get it in one single shot, it wasn't happening", "session_id": 12322, "sequence_id": 176, "annotations": []}
{"role": "volunteer", "content": "By the way, I'm looking at the top. I had that Upri term.", "session_id": 12322, "sequence_id": 177, "annotations": []}
{"role": "volunteer", "content": "Don't take that to be the full derivative.", "session_id": 12322, "sequence_id": 178, "annotations": []}
{"role": "volunteer", "content": "I", "session_id": 12322, "sequence_id": 179, "annotations": []}
{"role": "volunteer", "content": "actually, I think that is the full derivative.", "session_id": 12322, "sequence_id": 180, "annotations": []}
{"role": "volunteer", "content": "If you have, it's the sum of each individual derivative.", "session_id": 12322, "sequence_id": 181, "annotations": []}
{"role": "volunteer", "content": "Each individual partial derivative.", "session_id": 12322, "sequence_id": 182, "annotations": []}
{"role": "volunteer", "content": "Anyway, don't take that to be verbatim", "session_id": 12322, "sequence_id": 183, "annotations": []}
{"role": "volunteer", "content": "I was just using that", "session_id": 12322, "sequence_id": 184, "annotations": []}
{"role": "volunteer", "content": "prime is a shorthand for the problem at hand.", "session_id": 12322, "sequence_id": 185, "annotations": []}
{"role": "volunteer", "content": "That was it, just a little note.", "session_id": 12322, "sequence_id": 186, "annotations": []}
{"role": "volunteer", "content": "So that when you're looking at the problem later on or the solution, you don't", "session_id": 12322, "sequence_id": 187, "annotations": []}
{"role": "volunteer", "content": "take that U to be", "session_id": 12322, "sequence_id": 188, "annotations": []}
{"role": "volunteer", "content": "um, you know, what the full derivative of the", "session_id": 12322, "sequence_id": 189, "annotations": []}
{"role": "volunteer", "content": "of viewers, you know.", "session_id": 12322, "sequence_id": 190, "annotations": []}
{"role": "volunteer", "content": "Yeah, that'd be like Dell Dell X.", "session_id": 12322, "sequence_id": 191, "annotations": []}
{"role": "student", "content": "yeah i should write like this you mean?", "session_id": 12322, "sequence_id": 192, "annotations": []}
{"role": "student", "content": "not how u started it", "session_id": 12322, "sequence_id": 193, "annotations": []}
{"role": "volunteer", "content": "Yeah, exactly. I just wrote you prime for the total derivative", "session_id": 12322, "sequence_id": 194, "annotations": []}
{"role": "volunteer", "content": "but that's not", "session_id": 12322, "sequence_id": 195, "annotations": []}
{"role": "volunteer", "content": "what the total derivative is.", "session_id": 12322, "sequence_id": 196, "annotations": []}
{"role": "student", "content": "oh , it is du/dx", "session_id": 12322, "sequence_id": 197, "annotations": []}
{"role": "volunteer", "content": "No, total derivative would have to be", "session_id": 12322, "sequence_id": 198, "annotations": []}
{"role": "volunteer", "content": "um", "session_id": 12322, "sequence_id": 199, "annotations": []}
{"role": "volunteer", "content": "I don't think you have, I, I think it, I think you'd be stuck with", "session_id": 12322, "sequence_id": 200, "annotations": []}
{"role": "volunteer", "content": "this partial_U_partial_X_term because it, if you, for you to say the total derivative, it'd be the derivative of respect to every variable.", "session_id": 12322, "sequence_id": 201, "annotations": []}
{"role": "volunteer", "content": "right? Sort of like a chain rule", "session_id": 12322, "sequence_id": 202, "annotations": []}
{"role": "volunteer", "content": "but you don't have um", "session_id": 12322, "sequence_id": 203, "annotations": []}
{"role": "volunteer", "content": "each variable within you is independent of each other.", "session_id": 12322, "sequence_id": 204, "annotations": []}
{"role": "volunteer", "content": "So you couldn't really say it's chain rule.", "session_id": 12322, "sequence_id": 205, "annotations": []}
{"role": "volunteer", "content": "cause you'd have to have an expression of you crying.", "session_id": 12322, "sequence_id": 206, "annotations": []}
{"role": "volunteer", "content": "that is that has, that's a function of", "session_id": 12322, "sequence_id": 207, "annotations": []}
{"role": "volunteer", "content": "DellU Dell X L Y and they'll you", "session_id": 12322, "sequence_id": 208, "annotations": []}
{"role": "volunteer", "content": "De Z", "session_id": 12322, "sequence_id": 209, "annotations": []}
{"role": "volunteer", "content": "That's what I was trying to get at. I'll wait, I have it written at the bottom, by the way.", "session_id": 12322, "sequence_id": 210, "annotations": []}
{"role": "volunteer", "content": "That's one place I had space", "session_id": 12322, "sequence_id": 211, "annotations": []}
{"role": "volunteer", "content": "I was just trying to say that you prime is a function of each individual.", "session_id": 12322, "sequence_id": 212, "annotations": []}
{"role": "volunteer", "content": "partial derivative", "session_id": 12322, "sequence_id": 213, "annotations": []}
{"role": "volunteer", "content": "but the way I have it written, it nec isn't necessarily what that is.", "session_id": 12322, "sequence_id": 214, "annotations": []}
{"role": "volunteer", "content": "And you can't really say capital you um regular D", "session_id": 12322, "sequence_id": 215, "annotations": []}
{"role": "volunteer", "content": "X.", "session_id": 12322, "sequence_id": 216, "annotations": []}
{"role": "volunteer", "content": "because there's too many dependent variables.", "session_id": 12322, "sequence_id": 217, "annotations": []}
{"role": "volunteer", "content": "or there's too little dependent variables.", "session_id": 12322, "sequence_id": 218, "annotations": []}
{"role": "student", "content": "ohh , i see you mean to differentiate seperatly with each function", "session_id": 12322, "sequence_id": 219, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 12322, "sequence_id": 220, "annotations": []}
{"role": "volunteer", "content": "It gets a little complicated", "session_id": 12322, "sequence_id": 221, "annotations": []}
{"role": "student", "content": "you kind of didn't mean this , and proceeded with  u prime right?", "session_id": 12322, "sequence_id": 222, "annotations": []}
{"role": "volunteer", "content": "Um", "session_id": 12322, "sequence_id": 223, "annotations": []}
{"role": "volunteer", "content": "because there's", "session_id": 12322, "sequence_id": 224, "annotations": []}
{"role": "volunteer", "content": "yeah, I just, I was just trying to be quick about it.", "session_id": 12322, "sequence_id": 225, "annotations": []}
{"role": "student", "content": "i didn't notice that before", "session_id": 12322, "sequence_id": 226, "annotations": []}
{"role": "volunteer", "content": "I didn't wanna say how it was defined. I just, I could've, I should have just said DU.", "session_id": 12322, "sequence_id": 227, "annotations": []}
{"role": "volunteer", "content": "instead of U, I should have said um partial_U_var", "session_id": 12322, "sequence_id": 228, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 12322, "sequence_id": 229, "annotations": []}
{"role": "volunteer", "content": "Yeah.", "session_id": 12322, "sequence_id": 230, "annotations": []}
{"role": "volunteer", "content": "I'm glad you didn't, well, I mean, you didn't notice it, but I didn't want you to, because you're taking a screenshot, I didn't want you, when you referred back in your notes to kind of see that and think that", "session_id": 12322, "sequence_id": 231, "annotations": []}
{"role": "volunteer", "content": "that that's true", "session_id": 12322, "sequence_id": 232, "annotations": []}
{"role": "volunteer", "content": "I just did it to just be quick about it.", "session_id": 12322, "sequence_id": 233, "annotations": []}
{"role": "volunteer", "content": "without putting too much thought into it.", "session_id": 12322, "sequence_id": 234, "annotations": []}
{"role": "volunteer", "content": "So you'll see later on that your best approximation", "session_id": 12322, "sequence_id": 235, "annotations": []}
{"role": "volunteer", "content": "for partial_U_approx", "session_id": 12322, "sequence_id": 236, "annotations": []}
{"role": "volunteer", "content": "um regular DU would be, um, your kind of partial you, partial X times DX", "session_id": 12322, "sequence_id": 237, "annotations": []}
{"role": "volunteer", "content": "plus your, yeah, partial partial_U_y, partial Y, DY, maybe not the plus term, but it'd be the factor of that.", "session_id": 12322, "sequence_id": 238, "annotations": []}
{"role": "volunteer", "content": "youZ DZ.", "session_id": 12322, "sequence_id": 239, "annotations": []}
{"role": "volunteer", "content": "And this would be closer to what the full derivative is.", "session_id": 12322, "sequence_id": 240, "annotations": []}
{"role": "volunteer", "content": "cause this would be an example of like chain rule.", "session_id": 12322, "sequence_id": 241, "annotations": []}
{"role": "volunteer", "content": "and product rule", "session_id": 12322, "sequence_id": 242, "annotations": []}
{"role": "student", "content": "yeah, right.", "session_id": 12322, "sequence_id": 243, "annotations": []}
{"role": "volunteer", "content": "of a function that is X, a function of X, Y, and Z_variable", "session_id": 12322, "sequence_id": 244, "annotations": []}
{"role": "student", "content": "right", "session_id": 12322, "sequence_id": 245, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 12322, "sequence_id": 246, "annotations": []}
{"role": "volunteer", "content": "I'm, I'm glad I said that because that, I", "session_id": 12322, "sequence_id": 247, "annotations": []}
{"role": "volunteer", "content": "I would be remiss", "session_id": 12322, "sequence_id": 248, "annotations": []}
{"role": "volunteer", "content": "if I misled you in that way.", "session_id": 12322, "sequence_id": 249, "annotations": []}
{"role": "student", "content": "i appreciate it.", "session_id": 12322, "sequence_id": 250, "annotations": []}
{"role": "volunteer", "content": "Has your teacher gone over?", "session_id": 12322, "sequence_id": 251, "annotations": []}
{"role": "volunteer", "content": "um, full derivatives or just, just kind of going over it. You're just doing it learning implicit differentiation now.", "session_id": 12322, "sequence_id": 252, "annotations": []}
{"role": "volunteer", "content": "not implicit, partial differentiation.", "session_id": 12322, "sequence_id": 253, "annotations": []}
{"role": "volunteer", "content": "for multivariables, cause you're gonna get to", "session_id": 12322, "sequence_id": 254, "annotations": []}
{"role": "volunteer", "content": "like moments and stuff like that soon.", "session_id": 12322, "sequence_id": 255, "annotations": []}
{"role": "student", "content": "i haven't learn total differivates right now", "session_id": 12322, "sequence_id": 256, "annotations": []}
{"role": "volunteer", "content": "Yeah, you won't, you won't for a bit.", "session_id": 12322, "sequence_id": 257, "annotations": []}
{"role": "volunteer", "content": "Um", "session_id": 12322, "sequence_id": 258, "annotations": []}
{"role": "student", "content": "im learning partial differentiation right now", "session_id": 12322, "sequence_id": 259, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 12322, "sequence_id": 260, "annotations": []}
{"role": "volunteer", "content": "Cause you'll get to like 2nd and 3rd derivatives.", "session_id": 12322, "sequence_id": 261, "annotations": []}
{"role": "volunteer", "content": "Um, I'm maybe remembering incorrectly.", "session_id": 12322, "sequence_id": 262, "annotations": []}
{"role": "volunteer", "content": "about moments, but I know you'll get to like 2nd and 3rd derivatives.", "session_id": 12322, "sequence_id": 263, "annotations": []}
{"role": "volunteer", "content": "for multivariable. And you also have the mixed derivatives.", "session_id": 12322, "sequence_id": 264, "annotations": []}
{"role": "student", "content": "yeah i do", "session_id": 12322, "sequence_id": 265, "annotations": []}
{"role": "volunteer", "content": "where you'll have, for example, you do?", "session_id": 12322, "sequence_id": 266, "annotations": []}
{"role": "volunteer", "content": "Oh yeah, you are learning partial", "session_id": 12322, "sequence_id": 267, "annotations": []}
{"role": "student", "content": "i saw in content in books", "session_id": 12322, "sequence_id": 268, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 12322, "sequence_id": 269, "annotations": []}
{"role": "volunteer", "content": "Like this is an example of a mixed derivative.", "session_id": 12322, "sequence_id": 270, "annotations": []}
{"role": "volunteer", "content": "And then you can move on to mixed integrals.", "session_id": 12322, "sequence_id": 271, "annotations": []}
{"role": "volunteer", "content": "2nd order", "session_id": 12322, "sequence_id": 272, "annotations": []}
{"role": "student", "content": "ohh i have done this", "session_id": 12322, "sequence_id": 273, "annotations": []}
{"role": "volunteer", "content": "like 2nd order um integrals, things like that. Yeah.", "session_id": 12322, "sequence_id": 274, "annotations": []}
{"role": "student", "content": "i had solution for this problem", "session_id": 12322, "sequence_id": 275, "annotations": []}
{"role": "student", "content": "but it was really complicated.", "session_id": 12322, "sequence_id": 276, "annotations": []}
{"role": "volunteer", "content": "Yeah, I can get complicated, but", "session_id": 12322, "sequence_id": 277, "annotations": []}
{"role": "student", "content": "lemme show u", "session_id": 12322, "sequence_id": 278, "annotations": []}
{"role": "volunteer", "content": "oh, did you wanna wipe now or?", "session_id": 12322, "sequence_id": 279, "annotations": []}
{"role": "volunteer", "content": "create some space or you're just gonna do it at the bottom of the?", "session_id": 12322, "sequence_id": 280, "annotations": []}
{"role": "student", "content": "i upload pic", "session_id": 12322, "sequence_id": 281, "annotations": []}
{"role": "volunteer", "content": "Let me actually", "session_id": 12322, "sequence_id": 282, "annotations": []}
{"role": "volunteer", "content": "just make this smaller.", "session_id": 12322, "sequence_id": 283, "annotations": []}
{"role": "volunteer", "content": "Yeah, I found, I found that instead of wiping the board, if I can just select it and make it smaller.", "session_id": 12322, "sequence_id": 284, "annotations": []}
{"role": "volunteer", "content": "it can conserve a lot of space that way, while not getting rid of any content.", "session_id": 12322, "sequence_id": 285, "annotations": []}
{"role": "volunteer", "content": "So that's like a", "session_id": 12322, "sequence_id": 286, "annotations": []}
{"role": "volunteer", "content": "that's like a cool for me kind of thing.", "session_id": 12322, "sequence_id": 287, "annotations": []}
{"role": "volunteer", "content": "just conserve space.", "session_id": 12322, "sequence_id": 288, "annotations": []}
{"role": "volunteer", "content": "boom.", "session_id": 12322, "sequence_id": 289, "annotations": []}
{"role": "student", "content": "yeah that's better than wiping", "session_id": 12322, "sequence_id": 290, "annotations": []}
{"role": "volunteer", "content": "And then if you ever need to", "session_id": 12322, "sequence_id": 291, "annotations": []}
{"role": "volunteer", "content": "look at it again, I can, you can just select it and expand it.", "session_id": 12322, "sequence_id": 292, "annotations": []}
{"role": "student", "content": "pretty cool", "session_id": 12322, "sequence_id": 293, "annotations": []}
{"role": "volunteer", "content": "Mhm", "session_id": 12322, "sequence_id": 294, "annotations": []}
{"role": "volunteer", "content": "Mm", "session_id": 12322, "sequence_id": 295, "annotations": []}
{"role": "volunteer", "content": "But you should have been learning um", "session_id": 12322, "sequence_id": 296, "annotations": []}
{"role": "volunteer", "content": "like normals", "session_id": 12322, "sequence_id": 297, "annotations": []}
{"role": "volunteer", "content": "to spheres.", "session_id": 12322, "sequence_id": 298, "annotations": []}
{"role": "volunteer", "content": "um", "session_id": 12322, "sequence_id": 299, "annotations": []}
{"role": "volunteer", "content": "cylindrical coordinates", "session_id": 12322, "sequence_id": 300, "annotations": []}
{"role": "volunteer", "content": "spherical coordinates", "session_id": 12322, "sequence_id": 301, "annotations": []}
{"role": "volunteer", "content": "and then how to convert between.", "session_id": 12322, "sequence_id": 302, "annotations": []}
{"role": "volunteer", "content": "Cartesian to cylindrical, cylindrical to spherical, and spherical to", "session_id": 12322, "sequence_id": 303, "annotations": []}
{"role": "volunteer", "content": "Cartesian", "session_id": 12322, "sequence_id": 304, "annotations": []}
{"role": "volunteer", "content": "coordinates", "session_id": 12322, "sequence_id": 305, "annotations": []}
{"role": "student", "content": "i think i might learn that, lemme check", "session_id": 12322, "sequence_id": 306, "annotations": []}
{"role": "volunteer", "content": "which is actually similar to chapter 7.8, I want to say.", "session_id": 12322, "sequence_id": 307, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 12322, "sequence_id": 308, "annotations": []}
{"role": "volunteer", "content": "I'd be surprised if you didn't learn that.", "session_id": 12322, "sequence_id": 309, "annotations": []}
{"role": "volunteer", "content": "because that's a lot of what um", "session_id": 12322, "sequence_id": 310, "annotations": []}
{"role": "volunteer", "content": "kind of", "session_id": 12322, "sequence_id": 311, "annotations": []}
{"role": "volunteer", "content": "3rd degree spaces.", "session_id": 12322, "sequence_id": 312, "annotations": []}
{"role": "volunteer", "content": "3D space", "session_id": 12322, "sequence_id": 313, "annotations": []}
{"role": "volunteer", "content": "3 dimensional", "session_id": 12322, "sequence_id": 314, "annotations": []}
{"role": "volunteer", "content": "OK. Yeah, we got all that.", "session_id": 12322, "sequence_id": 315, "annotations": []}
{"role": "volunteer", "content": "the solution", "session_id": 12322, "sequence_id": 316, "annotations": []}
{"role": "volunteer", "content": "and the equations we get 3, yeah.", "session_id": 12322, "sequence_id": 317, "annotations": []}
{"role": "volunteer", "content": "Yeah, they merely factored it out as A_cubed + B_cubed + C_cubed minus 3ABC 0", "session_id": 12322, "sequence_id": 318, "annotations": []}
{"role": "volunteer", "content": "that's actually a thing", "session_id": 12322, "sequence_id": 319, "annotations": []}
{"role": "volunteer", "content": "Well, these jerks", "session_id": 12322, "sequence_id": 320, "annotations": []}
{"role": "volunteer", "content": "they factored", "session_id": 12322, "sequence_id": 321, "annotations": []}
{"role": "student", "content": "yeah i didn't really wanna tell u that", "session_id": 12322, "sequence_id": 322, "annotations": []}
{"role": "volunteer", "content": "These", "session_id": 12322, "sequence_id": 323, "annotations": []}
{"role": "volunteer", "content": "bombs", "session_id": 12322, "sequence_id": 324, "annotations": []}
{"role": "volunteer", "content": "No, I'm glad you told me this", "session_id": 12322, "sequence_id": 325, "annotations": []}
{"role": "volunteer", "content": "Yeah, I knew I was missing something", "session_id": 12322, "sequence_id": 326, "annotations": []}
{"role": "volunteer", "content": "So it wasn't that simple. Oh, that's what that was. That's, that wasn't just a quantity squared term. That was a derivative", "session_id": 12322, "sequence_id": 327, "annotations": []}
{"role": "volunteer", "content": "that was the second derivative.", "session_id": 12322, "sequence_id": 328, "annotations": []}
{"role": "volunteer", "content": "That's what we're getting reviews. That's what I was getting confused.", "session_id": 12322, "sequence_id": 329, "annotations": []}
{"role": "volunteer", "content": "That makes more sense", "session_id": 12322, "sequence_id": 330, "annotations": []}
{"role": "volunteer", "content": "They did a derivative twice.", "session_id": 12322, "sequence_id": 331, "annotations": []}
{"role": "volunteer", "content": "Yeah, like that", "session_id": 12322, "sequence_id": 332, "annotations": []}
{"role": "student", "content": "but second derivative is like this?", "session_id": 12322, "sequence_id": 333, "annotations": []}
{"role": "volunteer", "content": "but they did. Remember what I said before, that like del_U_function is equal to just a, a function of like whatever you, yeah, yeah, yeah, yeah. That's what they did. They did D2U.", "session_id": 12322, "sequence_id": 334, "annotations": []}
{"role": "volunteer", "content": "is equal to K_constant.", "session_id": 12322, "sequence_id": 335, "annotations": []}
{"role": "volunteer", "content": "That's what they're saying that is", "session_id": 12322, "sequence_id": 336, "annotations": []}
{"role": "volunteer", "content": "It was the 2nd derivative of you.", "session_id": 12322, "sequence_id": 337, "annotations": []}
{"role": "volunteer", "content": "That's why they, um, that's why you see them", "session_id": 12322, "sequence_id": 338, "annotations": []}
{"role": "volunteer", "content": "They did the first derivative here", "session_id": 12322, "sequence_id": 339, "annotations": []}
{"role": "volunteer", "content": "but then they applied it again to the result.", "session_id": 12322, "sequence_id": 340, "annotations": []}
{"role": "volunteer", "content": "or they did it here, they did.", "session_id": 12322, "sequence_id": 341, "annotations": []}
{"role": "volunteer", "content": "here, they did Phi on the 2nd order.", "session_id": 12322, "sequence_id": 342, "annotations": []}
{"role": "volunteer", "content": "So that becomes that", "session_id": 12322, "sequence_id": 343, "annotations": []}
{"role": "volunteer", "content": "becomes this", "session_id": 12322, "sequence_id": 344, "annotations": []}
{"role": "volunteer", "content": "which they proved from up here.", "session_id": 12322, "sequence_id": 345, "annotations": []}
{"role": "volunteer", "content": "and then they did", "session_id": 12322, "sequence_id": 346, "annotations": []}
{"role": "volunteer", "content": "the derivative", "session_id": 12322, "sequence_id": 347, "annotations": []}
{"role": "volunteer", "content": "the partial derivative of that.", "session_id": 12322, "sequence_id": 348, "annotations": []}
{"role": "volunteer", "content": "And that's how they did it", "session_id": 12322, "sequence_id": 349, "annotations": []}
{"role": "volunteer", "content": "So it wasn't quantity squared, it was a second derivative.", "session_id": 12322, "sequence_id": 350, "annotations": []}
{"role": "volunteer", "content": "which makes sense", "session_id": 12322, "sequence_id": 351, "annotations": []}
{"role": "student", "content": "but we still got all things figure out without second derivative", "session_id": 12322, "sequence_id": 352, "annotations": []}
{"role": "volunteer", "content": "because this is just kind of like an", "session_id": 12322, "sequence_id": 353, "annotations": []}
{"role": "volunteer", "content": "like X + Y + Z to the -1.", "session_id": 12322, "sequence_id": 354, "annotations": []}
{"role": "student", "content": "expect -", "session_id": 12322, "sequence_id": 355, "annotations": []}
{"role": "volunteer", "content": "Or you could just say that's like um", "session_id": 12322, "sequence_id": 356, "annotations": []}
{"role": "volunteer", "content": "uh let's say C to the -1 and then derivative of that is just equal to negative 1 over C_power_2.", "session_id": 12322, "sequence_id": 357, "annotations": []}
{"role": "volunteer", "content": "times", "session_id": 12322, "sequence_id": 358, "annotations": []}
{"role": "volunteer", "content": "CDX or whatever that is.", "session_id": 12322, "sequence_id": 359, "annotations": []}
{"role": "volunteer", "content": "Or in this case, that's just like 3.", "session_id": 12322, "sequence_id": 360, "annotations": []}
{"role": "volunteer", "content": "and then times the 3 from 4 gives us a -9.", "session_id": 12322, "sequence_id": 361, "annotations": []}
{"role": "student", "content": "i didn't get, even if we didn't do second derivative, we got 95% right, why?", "session_id": 12322, "sequence_id": 362, "annotations": []}
{"role": "volunteer", "content": "We only got it", "session_id": 12322, "sequence_id": 363, "annotations": []}
{"role": "volunteer", "content": "95% right because", "session_id": 12322, "sequence_id": 364, "annotations": []}
{"role": "volunteer", "content": "we were fortunate", "session_id": 12322, "sequence_id": 365, "annotations": []}
{"role": "volunteer", "content": "that", "session_id": 12322, "sequence_id": 366, "annotations": []}
{"role": "volunteer", "content": "C to the -1, the derivative of that, is just equal to", "session_id": 12322, "sequence_id": 367, "annotations": []}
{"role": "volunteer", "content": "uh, you know, see a -2, the power rule.", "session_id": 12322, "sequence_id": 368, "annotations": []}
{"role": "volunteer", "content": "right", "session_id": 12322, "sequence_id": 369, "annotations": []}
{"role": "volunteer", "content": "That's the only reason why we got close. It's because we assumed that this was just", "session_id": 12322, "sequence_id": 370, "annotations": []}
{"role": "volunteer", "content": "um CN-1, quantity squad.", "session_id": 12322, "sequence_id": 371, "annotations": []}
{"role": "volunteer", "content": "which would give us C to -2. If this was", "session_id": 12322, "sequence_id": 372, "annotations": []}
{"role": "volunteer", "content": "C to like the -4.", "session_id": 12322, "sequence_id": 373, "annotations": []}
{"role": "volunteer", "content": "and we tried to quantity square that, we would have been way off.", "session_id": 12322, "sequence_id": 374, "annotations": []}
{"role": "volunteer", "content": "rather than doingU to U_power_neg4, right? Which is just like negative 4/ C 5th.", "session_id": 12322, "sequence_id": 375, "annotations": []}
{"role": "volunteer", "content": "right? We, with this, we would have gotten like C to the 8.", "session_id": 12322, "sequence_id": 376, "annotations": []}
{"role": "volunteer", "content": "So it would have been way off. That's the, the only reason we were close.", "session_id": 12322, "sequence_id": 377, "annotations": []}
{"role": "volunteer", "content": "is because of this property, you know, the power rule.", "session_id": 12322, "sequence_id": 378, "annotations": []}
{"role": "volunteer", "content": "for the natural log.", "session_id": 12322, "sequence_id": 379, "annotations": []}
{"role": "volunteer", "content": "So really, it's not that we got it right. It's that we looked into it.", "session_id": 12322, "sequence_id": 380, "annotations": []}
{"role": "volunteer", "content": "cause we did", "session_id": 12322, "sequence_id": 381, "annotations": []}
{"role": "volunteer", "content": "um", "session_id": 12322, "sequence_id": 382, "annotations": []}
{"role": "volunteer", "content": "we did, we did everything right up until this squared term.", "session_id": 12322, "sequence_id": 383, "annotations": []}
{"role": "volunteer", "content": "So our mint our thought processes was wrong.", "session_id": 12322, "sequence_id": 384, "annotations": []}
{"role": "student", "content": "that's too much right answer by wrong way", "session_id": 12322, "sequence_id": 385, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 12322, "sequence_id": 386, "annotations": []}
{"role": "volunteer", "content": "it really, it, it can make a, it can make a", "session_id": 12322, "sequence_id": 387, "annotations": []}
{"role": "volunteer", "content": "dumb person think they're smart.", "session_id": 12322, "sequence_id": 388, "annotations": []}
{"role": "volunteer", "content": "like,", "session_id": 12322, "sequence_id": 389, "annotations": []}
{"role": "volunteer", "content": "not to say that we're dumb or anything.", "session_id": 12322, "sequence_id": 390, "annotations": []}
{"role": "volunteer", "content": "but it's just kind of like", "session_id": 12322, "sequence_id": 391, "annotations": []}
{"role": "volunteer", "content": "false", "session_id": 12322, "sequence_id": 392, "annotations": []}
{"role": "volunteer", "content": "confirmation", "session_id": 12322, "sequence_id": 393, "annotations": []}
{"role": "volunteer", "content": "that can really", "session_id": 12322, "sequence_id": 394, "annotations": []}
{"role": "volunteer", "content": "have someone believing they know something when they don't.", "session_id": 12322, "sequence_id": 395, "annotations": []}
{"role": "volunteer", "content": "And I'm being brutally honest with myself.", "session_id": 12322, "sequence_id": 396, "annotations": []}
{"role": "volunteer", "content": "Like I was just, I was way off.", "session_id": 12322, "sequence_id": 397, "annotations": []}
{"role": "volunteer", "content": "in the thought processes. I got, I got the first part right, mean, the hardest thing is something they give you", "session_id": 12322, "sequence_id": 398, "annotations": []}
{"role": "volunteer", "content": "that it didn't bother to look up", "session_id": 12322, "sequence_id": 399, "annotations": []}
{"role": "volunteer", "content": "the AQ+ BQ plus C cubed minus 3 ABC.", "session_id": 12322, "sequence_id": 400, "annotations": []}
{"role": "student", "content": "yeah, I was thinking we found easier way, i don't have deal with it", "session_id": 12322, "sequence_id": 401, "annotations": []}
{"role": "volunteer", "content": "that could have been looked up", "session_id": 12322, "sequence_id": 402, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 12322, "sequence_id": 403, "annotations": []}
{"role": "volunteer", "content": "All right", "session_id": 12322, "sequence_id": 404, "annotations": []}
{"role": "volunteer", "content": "Oh, OK. Um, I'm clearly not as caught up on my multivariable.", "session_id": 12322, "sequence_id": 405, "annotations": []}
{"role": "volunteer", "content": "uh, different multivariable calculus as I", "session_id": 12322, "sequence_id": 406, "annotations": []}
{"role": "volunteer", "content": "should be", "session_id": 12322, "sequence_id": 407, "annotations": []}
{"role": "volunteer", "content": "because this, this question", "session_id": 12322, "sequence_id": 408, "annotations": []}
{"role": "volunteer", "content": "had me thinking I knew what I was doing.", "session_id": 12322, "sequence_id": 409, "annotations": []}
{"role": "volunteer", "content": "And they also don't provide any", "session_id": 12322, "sequence_id": 410, "annotations": []}
{"role": "volunteer", "content": "explanation", "session_id": 12322, "sequence_id": 411, "annotations": []}
{"role": "volunteer", "content": "They just say, now", "session_id": 12322, "sequence_id": 412, "annotations": []}
{"role": "volunteer", "content": "there's this means the derivative twice. Now the D2U is just the derivative twice. Oh, like, OK.", "session_id": 12322, "sequence_id": 413, "annotations": []}
{"role": "volunteer", "content": "If you know all that, Smartypants.", "session_id": 12322, "sequence_id": 414, "annotations": []}
{"role": "volunteer", "content": "Why don't you just write it out", "session_id": 12322, "sequence_id": 415, "annotations": []}
{"role": "student", "content": "yeah,  why they do that?", "session_id": 12322, "sequence_id": 416, "annotations": []}
{"role": "volunteer", "content": "Cause they assume that you already know that kind of basic information.", "session_id": 12322, "sequence_id": 417, "annotations": []}
{"role": "volunteer", "content": "that they consider basic", "session_id": 12322, "sequence_id": 418, "annotations": []}
{"role": "volunteer", "content": "I guess it does make sense if you're considering a derivative squared.", "session_id": 12322, "sequence_id": 419, "annotations": []}
{"role": "volunteer", "content": "They would have included the you if it was quantity squared.", "session_id": 12322, "sequence_id": 420, "annotations": []}
{"role": "volunteer", "content": "inside the parentheses", "session_id": 12322, "sequence_id": 421, "annotations": []}
{"role": "volunteer", "content": "which is essentially what we were doing.", "session_id": 12322, "sequence_id": 422, "annotations": []}
{"role": "volunteer", "content": "We're including the UN inside the premises, which we did that.", "session_id": 12322, "sequence_id": 423, "annotations": []}
{"role": "volunteer", "content": "or I did that right off the jump. That was literally the first thing I did.", "session_id": 12322, "sequence_id": 424, "annotations": []}
{"role": "volunteer", "content": "after I had taken each individual derivative.", "session_id": 12322, "sequence_id": 425, "annotations": []}
{"role": "volunteer", "content": "I just included that you inside of it.", "session_id": 12322, "sequence_id": 426, "annotations": []}
{"role": "volunteer", "content": "Um", "session_id": 12322, "sequence_id": 427, "annotations": []}
{"role": "volunteer", "content": "which is", "session_id": 12322, "sequence_id": 428, "annotations": []}
{"role": "volunteer", "content": "yeah, the only, I guess we, we make this a little bigger so I can.", "session_id": 12322, "sequence_id": 429, "annotations": []}
{"role": "volunteer", "content": "So what I did instead of there, I just assumed", "session_id": 12322, "sequence_id": 430, "annotations": []}
{"role": "volunteer", "content": "that this was like", "session_id": 12322, "sequence_id": 431, "annotations": []}
{"role": "volunteer", "content": "squared there", "session_id": 12322, "sequence_id": 432, "annotations": []}
{"role": "volunteer", "content": "taking this whole expression squared is what I did.", "session_id": 12322, "sequence_id": 433, "annotations": []}
{"role": "student", "content": "yeah right", "session_id": 12322, "sequence_id": 434, "annotations": []}
{"role": "volunteer", "content": "And I kind of, and I didn't take the second derivative, yeah.", "session_id": 12322, "sequence_id": 435, "annotations": []}
{"role": "volunteer", "content": "And we know just kind of, we just kind of looked into it because this could have easily been another problem where we did that and then just gotten way off and", "session_id": 12322, "sequence_id": 436, "annotations": []}
{"role": "volunteer", "content": "you have no idea how to get back.", "session_id": 12322, "sequence_id": 437, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 12322, "sequence_id": 438, "annotations": []}
{"role": "student", "content": "so if we have something like this, mean we are talking about second derivative in multivarialbe right?", "session_id": 12322, "sequence_id": 439, "annotations": []}
{"role": "volunteer", "content": "That's what it looks like.", "session_id": 12322, "sequence_id": 440, "annotations": []}
{"role": "volunteer", "content": "And so, yeah, instead of", "session_id": 12322, "sequence_id": 441, "annotations": []}
{"role": "volunteer", "content": "you know cause what we did was this", "session_id": 12322, "sequence_id": 442, "annotations": []}
{"role": "volunteer", "content": "we did that", "session_id": 12322, "sequence_id": 443, "annotations": []}
{"role": "volunteer", "content": "which is not the same", "session_id": 12322, "sequence_id": 444, "annotations": []}
{"role": "volunteer", "content": "as", "session_id": 12322, "sequence_id": 445, "annotations": []}
{"role": "student", "content": "yeah, it makes more sense now", "session_id": 12322, "sequence_id": 446, "annotations": []}
{"role": "volunteer", "content": "we might actually have to", "session_id": 12322, "sequence_id": 447, "annotations": []}
{"role": "volunteer", "content": "do it their way.", "session_id": 12322, "sequence_id": 448, "annotations": []}
{"role": "volunteer", "content": "Cause I understand their way, um.", "session_id": 12322, "sequence_id": 449, "annotations": []}
{"role": "volunteer", "content": "but I know you're the, I, I know you specifically do better when you", "session_id": 12322, "sequence_id": 450, "annotations": []}
{"role": "volunteer", "content": "do it yourself when you personally experience it, you learn better that way", "session_id": 12322, "sequence_id": 451, "annotations": []}
{"role": "volunteer", "content": "To recommend you, um, when you get a chance to do that yourself. Do", "session_id": 12322, "sequence_id": 452, "annotations": []}
{"role": "volunteer", "content": "do it their way and reason it through yourself.", "session_id": 12322, "sequence_id": 453, "annotations": []}
{"role": "volunteer", "content": "Um, we can do it together if you want, but I know it's better for you to do it on your own.", "session_id": 12322, "sequence_id": 454, "annotations": []}
{"role": "student", "content": "yeah, i'll try first", "session_id": 12322, "sequence_id": 455, "annotations": []}
{"role": "student", "content": "i think that's it for today. bcuz do you wanna try more question?", "session_id": 12322, "sequence_id": 456, "annotations": []}
{"role": "volunteer", "content": "Um", "session_id": 12322, "sequence_id": 457, "annotations": []}
{"role": "volunteer", "content": "you know, like 6 minutes. We can do another problem. Let's uh", "session_id": 12322, "sequence_id": 458, "annotations": []}
{"role": "volunteer", "content": "I can reduce this size again.", "session_id": 12322, "sequence_id": 459, "annotations": []}
{"role": "volunteer", "content": "That way you don't have to delete anything.", "session_id": 12322, "sequence_id": 460, "annotations": []}
{"role": "student", "content": "let's not", "session_id": 12322, "sequence_id": 461, "annotations": []}
{"role": "volunteer", "content": "or unless you have to go", "session_id": 12322, "sequence_id": 462, "annotations": []}
{"role": "volunteer", "content": "I got another like 20 minutes.", "session_id": 12322, "sequence_id": 463, "annotations": []}
{"role": "volunteer", "content": "You know, I was gonna mention this, but I forgot to say that um if you do have questions that you", "session_id": 12322, "sequence_id": 464, "annotations": []}
{"role": "volunteer", "content": "struggle with, you can always drop them in our chat, and I'll get the email and then I can try to work on them.", "session_id": 12322, "sequence_id": 465, "annotations": []}
{"role": "volunteer", "content": "um before we meet up.", "session_id": 12322, "sequence_id": 466, "annotations": []}
{"role": "volunteer", "content": "if I have time.", "session_id": 12322, "sequence_id": 467, "annotations": []}
{"role": "volunteer", "content": "But that's always uh", "session_id": 12322, "sequence_id": 468, "annotations": []}
{"role": "volunteer", "content": "an option for you", "session_id": 12322, "sequence_id": 469, "annotations": []}
{"role": "student", "content": "okay, that sound good", "session_id": 12322, "sequence_id": 470, "annotations": []}
{"role": "student", "content": "i'll do it", "session_id": 12322, "sequence_id": 471, "annotations": []}
{"role": "student", "content": "i can upload next question right now", "session_id": 12322, "sequence_id": 472, "annotations": []}
{"role": "student", "content": "can we do it tomorrow?", "session_id": 12322, "sequence_id": 473, "annotations": []}
{"role": "volunteer", "content": "Yeah, that's fine", "session_id": 12322, "sequence_id": 474, "annotations": []}
{"role": "volunteer", "content": "You can drop it and then if you have to go, you can go.", "session_id": 12322, "sequence_id": 475, "annotations": []}
{"role": "volunteer", "content": "or upload. I'm sorry, not drop it.", "session_id": 12322, "sequence_id": 476, "annotations": []}
{"role": "student", "content": "These   are questions", "session_id": 12322, "sequence_id": 477, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 12322, "sequence_id": 478, "annotations": []}
{"role": "volunteer", "content": "Do you have to go? I can work on these.", "session_id": 12322, "sequence_id": 479, "annotations": []}
{"role": "volunteer", "content": "I can see some", "session_id": 12322, "sequence_id": 480, "annotations": []}
{"role": "volunteer", "content": "I can note some things right away.", "session_id": 12322, "sequence_id": 481, "annotations": []}
{"role": "volunteer", "content": "from these problems.", "session_id": 12322, "sequence_id": 482, "annotations": []}
{"role": "volunteer", "content": "just from the first derivative.", "session_id": 12322, "sequence_id": 483, "annotations": []}
{"role": "student", "content": "did you erase that part where you explained (du/dx)^2 not equal to second derivative?", "session_id": 12322, "sequence_id": 484, "annotations": []}
{"role": "volunteer", "content": "and then the derivative of the second derivative of the first derivative.", "session_id": 12322, "sequence_id": 485, "annotations": []}
{"role": "volunteer", "content": "Yes, I did", "session_id": 12322, "sequence_id": 486, "annotations": []}
{"role": "volunteer", "content": "Let me see if I can bring that back", "session_id": 12322, "sequence_id": 487, "annotations": []}
{"role": "volunteer", "content": "It was in pink", "session_id": 12322, "sequence_id": 488, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 12322, "sequence_id": 489, "annotations": []}
{"role": "volunteer", "content": "there", "session_id": 12322, "sequence_id": 490, "annotations": []}
{"role": "volunteer", "content": "there", "session_id": 12322, "sequence_id": 491, "annotations": []}
{"role": "student", "content": "don't erase that please. That's pretty important", "session_id": 12322, "sequence_id": 492, "annotations": []}
{"role": "volunteer", "content": "Oh, yeah, sorry", "session_id": 12322, "sequence_id": 493, "annotations": []}
{"role": "volunteer", "content": "Um", "session_id": 12322, "sequence_id": 494, "annotations": []}
{"role": "volunteer", "content": "yeah, we can leave that as, do you have to go or?", "session_id": 12322, "sequence_id": 495, "annotations": []}
{"role": "volunteer", "content": "Cause I can", "session_id": 12322, "sequence_id": 496, "annotations": []}
{"role": "volunteer", "content": "talk to the general form.", "session_id": 12322, "sequence_id": 497, "annotations": []}
{"role": "volunteer", "content": "and the only thing that would take up time would just be doing the actual", "session_id": 12322, "sequence_id": 498, "annotations": []}
{"role": "volunteer", "content": "algebra", "session_id": 12322, "sequence_id": 499, "annotations": []}
{"role": "student", "content": "yes, I have to leave.", "session_id": 12322, "sequence_id": 500, "annotations": []}
{"role": "volunteer", "content": "OK. Well, I'll see you tomorrow then.", "session_id": 12322, "sequence_id": 501, "annotations": []}
{"role": "volunteer", "content": "Have a great one", "session_id": 12322, "sequence_id": 502, "annotations": []}
{"role": "student", "content": "yeah,", "session_id": 12322, "sequence_id": 503, "annotations": []}
{"role": "volunteer", "content": "And Sayonara", "session_id": 12322, "sequence_id": 504, "annotations": []}
{"role": "student", "content": "have a great day", "session_id": 12322, "sequence_id": 505, "annotations": []}
{"role": "student", "content": "saynora", "session_id": 12322, "sequence_id": 506, "annotations": []}
{"role": "volunteer", "content": "for you leisure", "session_id": 12322, "sequence_id": 507, "annotations": []}
{"role": "volunteer", "content": "and access", "session_id": 12322, "sequence_id": 508, "annotations": []}
{"role": "volunteer", "content": "Hello, Ben", "session_id": 12435, "sequence_id": 0, "annotations": [{"pii_type": "PERSON", "surrogate": "Ben", "start": 7, "end": 10}]}
{"role": "student", "content": "hi", "session_id": 12435, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "What is your question?", "session_id": 12435, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "I can help you", "session_id": 12435, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "give me 1minutes please", "session_id": 12435, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 12435, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "you are a human being", "session_id": 12435, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 12435, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "i am lol", "session_id": 12435, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "are you a woman or man", "session_id": 12435, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "man", "session_id": 12435, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "ok", "session_id": 12435, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "nice to meet you", "session_id": 12435, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "nice to meet you Ben", "session_id": 12435, "sequence_id": 13, "annotations": [{"pii_type": "PERSON", "surrogate": "Ben", "start": 17, "end": 20}]}
{"role": "student", "content": "thanks", "session_id": 12435, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "k", "session_id": 12435, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "Hi", "session_id": 12435, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "Just tell me when you are ready, I can wait here", "session_id": 12435, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "my question is Sherlock  put two tomato plants in this images.mathproblems.com/tomato.pnge first tomato plant produced 20 tomatoes in a 2 day period the second tomato plant produced 35 tomatos in a 3.5 day period. are these rates proportional explain why or why not", "session_id": 12435, "sequence_id": 18, "annotations": [{"pii_type": "URL", "surrogate": "images.mathproblems.com/tomato.png", "start": 55, "end": 89}]}
{"role": "volunteer", "content": "yes, it is . The rate of the first tomato is 20 tomatoes in 2 days so it will be 20/2 which is 10 tomatoes a day", "session_id": 12435, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "and the second tomato is 35 tomatoes in 3.5 days,which is 35/3.5", "session_id": 12435, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "know give me the answer", "session_id": 12435, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "also equal to 10 tomatoes a day", "session_id": 12435, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "Does that make sense", "session_id": 12435, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "is thas the answer", "session_id": 12435, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 12435, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "Do you have other quesions", "session_id": 12435, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "no thnks", "session_id": 12435, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "Hey!", "session_id": 12996, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "Helloooo", "session_id": 12996, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "Basically im in my last period and this assignment is glitched and my teacher wanna see if it is so could you take a look at these?", "session_id": 12996, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "my teacher is right here with me too", "session_id": 12996, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "fyi", "session_id": 12996, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "Yeah of course", "session_id": 12996, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "there we go", "session_id": 12996, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "and thank you!", "session_id": 12996, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "Do you need help in a specific one or all of them?", "session_id": 12996, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "we are checking all but", "session_id": 12996, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "just do two", "session_id": 12996, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "Alright so what do you know about vertex graphs?", "session_id": 12996, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "I mean an absolute value graph", "session_id": 12996, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 12996, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "do you the linear equation of an absolute value graph?", "session_id": 12996, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "mhm", "session_id": 12996, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "you can also guess its fine just try :)", "session_id": 12996, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "its the same as y=x but there is something missing", "session_id": 12996, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "its y=-|x+3|", "session_id": 12996, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "right", "session_id": 12996, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "yeah correct", "session_id": 12996, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "i didnt even have to help with that woww", "session_id": 12996, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "exactly but it says its wrong", "session_id": 12996, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "hmm that is weird", "session_id": 12996, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "exactly", "session_id": 12996, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "When i plug it into a graphing calculator i get the correct graph", "session_id": 12996, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "because that negative means its flipped and the +3 is moving to the left", "session_id": 12996, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "thats why my teacher is giving my extra credit if i get it", "session_id": 12996, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "right or prove its glitched", "session_id": 12996, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "maybe it means flipped over the y axis instead of the x axis", "session_id": 12996, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "no he said that was right", "session_id": 12996, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "i need to do these to get the credit", "session_id": 12996, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "oh okay so its just glitched?", "session_id": 12996, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "yeah so", "session_id": 12996, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "im asking if you could help me find the answers too", "session_id": 12996, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "Ah okay so as a way to confirm them", "session_id": 12996, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "lets do the second one then", "session_id": 12996, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 12996, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "do you have answer for that one as well?", "session_id": 12996, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "y=|x-2|+4", "session_id": 12996, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "or", "session_id": 12996, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "y=|x-3|+4", "session_id": 12996, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "the second one", "session_id": 12996, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 12996, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "Yes that one is correct", "session_id": 12996, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "which one", "session_id": 12996, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "y=|x-2|+4?", "session_id": 12996, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "oh no sorry i meant y=|x-3|+4", "session_id": 12996, "sequence_id": 47, "annotations": []}
{"role": "student", "content": "oh its time for me to go home", "session_id": 12996, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "Mr. Harrison", "session_id": 12996, "sequence_id": 49, "annotations": [{"pii_type": "PERSON", "surrogate": "Mr. Harrison", "start": 0, "end": 12}]}
{"role": "volunteer", "content": "Yeah of course", "session_id": 12996, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "here is some confetti", "session_id": 12996, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "Sarah", "session_id": 12996, "sequence_id": 52, "annotations": [{"pii_type": "PERSON", "surrogate": "Sarah", "start": 0, "end": 5}]}
{"role": "volunteer", "content": "Glad I was some help", "session_id": 12996, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "Goodbye!", "session_id": 12996, "sequence_id": 54, "annotations": []}
{"role": "student", "content": "Hey how are you", "session_id": 16558, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "Hi I'm good", "session_id": 16558, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "could you check all of 3", "session_id": 16558, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "Alright", "session_id": 16558, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "my Q1 median and Q3 values are different than yours hmm", "session_id": 16558, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "Ill double check", "session_id": 16558, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "First can you explain how you got the values you did for the purple party", "session_id": 16558, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "put them in the calculator", "session_id": 16558, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "and the calculator gave you the completed plot?", "session_id": 16558, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "no gave me the mean median, minimum and maximum", "session_id": 16558, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "how did you find the IQR then", "session_id": 16558, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "4.5", "session_id": 16558, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "Q1=14.5", "session_id": 16558, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "Q3=18", "session_id": 16558, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "18-14.5", "session_id": 16558, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "3.5", "session_id": 16558, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "I assume thats for purple?", "session_id": 16558, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 16558, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "because your paper shows you got 19.5-15=4.5 for that one", "session_id": 16558, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "yeah I just realized I mixed up something", "session_id": 16558, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "alright", "session_id": 16558, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "I'm gonna try redoing this from scratch myself", "session_id": 16558, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "okay", "session_id": 16558, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "The data for purple when sorted looks like 3, 9, 12, 14, 14, 15, 15, 15, 15, 16, 17, 17, 17, 17, 18, 18, 19, 20, 20, 20", "session_id": 16558, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "can you check that", "session_id": 16558, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "according to this list the median for purple party is 16.5 not 17.5", "session_id": 16558, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "Q1 is 14.5 and Q3 is 18", "session_id": 16558, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "and IQR is 3.5", "session_id": 16558, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "yes", "session_id": 16558, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "So the correct graph for 3A should have 14.5 as Q1, 16.5 as median, and 18 as Q3", "session_id": 16558, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "lower fence is 9.25 and upper fence is 23.25", "session_id": 16558, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "for which one", "session_id": 16558, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "because to find fences of a modified box and whiskers plot you need to do Q1 -1.5 * IQR for lower fence and Q3 + 1.5*IQR for upper fence", "session_id": 16558, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "purple", "session_id": 16558, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "wait let me draw out what you are saying", "session_id": 16558, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "like that?", "session_id": 16558, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "hm", "session_id": 16558, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "yes thats right I believe", "session_id": 16558, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "For chartreuse everything is right except for median", "session_id": 16558, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "I'm getting the median is 11", "session_id": 16558, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "yeah its 11", "session_id": 16558, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "Alright then it should be good as long as you fix that", "session_id": 16558, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "and the IQR for chartreuse is also right", "session_id": 16558, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "so fix purple party IQR to 3.5 and the graph", "session_id": 16558, "sequence_id": 43, "annotations": []}
{"role": "student", "content": ".okay I did", "session_id": 16558, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "nice", "session_id": 16558, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "time for 3C now", "session_id": 16558, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "I'm sorry but I can't read what you put for 3C", "session_id": 16558, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "can you type it out I don't want to make a mistake interpreting it", "session_id": 16558, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "For the purple party it showed greater support for the tax cut bill with a higher median of 16.5 compared to the chartreuse party of 11. however IQR of the purple part showed a voting of 3.5 in contrast from the chartreuse party of 2.5. Chartreuse purple was more unified then purple due to their a wide range of options. purple party outlier was three suggested by a single senator who rarely voted yes while charged use outlier at 17 points to a senator who went to yes briefly than the colleagues.", "session_id": 16558, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "Perfect answer in my opinion", "session_id": 16558, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "That answer is great, no edits needed", "session_id": 16558, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "okay thanks for all the help that was the last of it", "session_id": 16558, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "Alright no problem", "session_id": 16558, "sequence_id": 53, "annotations": []}
{"role": "student", "content": "have a great day", "session_id": 16558, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "Hello! How can I help?", "session_id": 16573, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "hi i need help on my math problems", "session_id": 16573, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "Ok! Sounds good", "session_id": 16573, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "What are the math problems about?", "session_id": 16573, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "one step or two step equations", "session_id": 16573, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "i need to solve them", "session_id": 16573, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "feel free to send over the question and then we can go through it", "session_id": 16573, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "Ok so what do you think might be a good first step?", "session_id": 16573, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "Do you want me to start you off? Or would you like to try it out first?", "session_id": 16573, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "yes please", "session_id": 16573, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "Ok! So for these questions we want to get x by itself", "session_id": 16573, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "right now x is being divided by 9", "session_id": 16573, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "okay", "session_id": 16573, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "in order to make it so x is by itself we have to do the opposite operation", "session_id": 16573, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "is this a one step or 2 step equation?", "session_id": 16573, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "what would be the opposite of division?", "session_id": 16573, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "multiplying", "session_id": 16573, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "a little bit of both, but I think it leans more one step", "session_id": 16573, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "okay", "session_id": 16573, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "yep! multiplying", "session_id": 16573, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "so what would we do?", "session_id": 16573, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "multiply x by 9?", "session_id": 16573, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "yeah!", "session_id": 16573, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "and if we do it on one side", "session_id": 16573, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "then we have to do it on the other side", "session_id": 16573, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "okay", "session_id": 16573, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "remember we want to get x by itself", "session_id": 16573, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "and right now we're trying to make it so we get rid of the 9 on the left", "session_id": 16573, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "so it cancels out", "session_id": 16573, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "Would you like me to explain it on the whiteboard?", "session_id": 16573, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "yes", "session_id": 16573, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "so if we multiply by nine", "session_id": 16573, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "it's basically", "session_id": 16573, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "9 over 1", "session_id": 16573, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "since they're the same thing", "session_id": 16573, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "yes", "session_id": 16573, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "so we multiply across", "session_id": 16573, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "and what do we get on top?", "session_id": 16573, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "9", "session_id": 16573, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "9 times x is?", "session_id": 16573, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "9x", "session_id": 16573, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "yeah!", "session_id": 16573, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "so 9x on top", "session_id": 16573, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "and 1 times 9?", "session_id": 16573, "sequence_id": 43, "annotations": []}
{"role": "student", "content": "9", "session_id": 16573, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "right so now", "session_id": 16573, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "because we have a 9 on top", "session_id": 16573, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "and a 9 on bottom", "session_id": 16573, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "we can cancel them out", "session_id": 16573, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "and what are we left with?", "session_id": 16573, "sequence_id": 49, "annotations": []}
{"role": "student", "content": "why?", "session_id": 16573, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "for fractions if I had", "session_id": 16573, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "1/1", "session_id": 16573, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "that's the same thing as 1 right", "session_id": 16573, "sequence_id": 53, "annotations": []}
{"role": "student", "content": "yes", "session_id": 16573, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "and so if I had 8/8 that would also be 1", "session_id": 16573, "sequence_id": 55, "annotations": []}
{"role": "student", "content": "yes", "session_id": 16573, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "so if I had 9/9", "session_id": 16573, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "it would be?", "session_id": 16573, "sequence_id": 58, "annotations": []}
{"role": "student", "content": "1", "session_id": 16573, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "right!", "session_id": 16573, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "so then", "session_id": 16573, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "it would be", "session_id": 16573, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "1*x", "session_id": 16573, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "and 1 times anything is just?", "session_id": 16573, "sequence_id": 64, "annotations": []}
{"role": "student", "content": "the same number", "session_id": 16573, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "right!", "session_id": 16573, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "so when we have 1*x", "session_id": 16573, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "then that would mean we would just be left with?", "session_id": 16573, "sequence_id": 68, "annotations": []}
{"role": "student", "content": "1x", "session_id": 16573, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "right!", "session_id": 16573, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "so on the left", "session_id": 16573, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "instead of 9", "session_id": 16573, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "what should be there?", "session_id": 16573, "sequence_id": 73, "annotations": []}
{"role": "student", "content": "1", "session_id": 16573, "sequence_id": 74, "annotations": []}
{"role": "student", "content": "9x?", "session_id": 16573, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "so close", "session_id": 16573, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "remember the 9's", "session_id": 16573, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "cancel out", "session_id": 16573, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "so we only have?", "session_id": 16573, "sequence_id": 79, "annotations": []}
{"role": "student", "content": "0", "session_id": 16573, "sequence_id": 80, "annotations": []}
{"role": "volunteer", "content": "close", "session_id": 16573, "sequence_id": 81, "annotations": []}
{"role": "volunteer", "content": "cause remember we said we had 1x right", "session_id": 16573, "sequence_id": 82, "annotations": []}
{"role": "student", "content": "yes", "session_id": 16573, "sequence_id": 83, "annotations": []}
{"role": "volunteer", "content": "so 9x/9", "session_id": 16573, "sequence_id": 84, "annotations": []}
{"role": "volunteer", "content": "becomes 1x", "session_id": 16573, "sequence_id": 85, "annotations": []}
{"role": "student", "content": "yes", "session_id": 16573, "sequence_id": 86, "annotations": []}
{"role": "volunteer", "content": "so that's us saying ok that's what happens after we multiply 9", "session_id": 16573, "sequence_id": 87, "annotations": []}
{"role": "volunteer", "content": "on the left", "session_id": 16573, "sequence_id": 88, "annotations": []}
{"role": "volunteer", "content": "so if we multiply x/9 by 9", "session_id": 16573, "sequence_id": 89, "annotations": []}
{"role": "volunteer", "content": "we get?", "session_id": 16573, "sequence_id": 90, "annotations": []}
{"role": "student", "content": "9", "session_id": 16573, "sequence_id": 91, "annotations": []}
{"role": "volunteer", "content": "do you mind writing down step by step how you got 9? just so I can better understand", "session_id": 16573, "sequence_id": 92, "annotations": []}
{"role": "volunteer", "content": "ohhh I see", "session_id": 16573, "sequence_id": 93, "annotations": []}
{"role": "volunteer", "content": "ok so after we", "session_id": 16573, "sequence_id": 94, "annotations": []}
{"role": "volunteer", "content": "cancel out the 9's", "session_id": 16573, "sequence_id": 95, "annotations": []}
{"role": "volunteer", "content": "and get 1x", "session_id": 16573, "sequence_id": 96, "annotations": []}
{"role": "volunteer", "content": "the nines disappear", "session_id": 16573, "sequence_id": 97, "annotations": []}
{"role": "volunteer", "content": "that's why instead of 9x/9", "session_id": 16573, "sequence_id": 98, "annotations": []}
{"role": "volunteer", "content": "we are left with 1 times x or just 1x", "session_id": 16573, "sequence_id": 99, "annotations": []}
{"role": "volunteer", "content": "so if we don't have anymore 9's on the left", "session_id": 16573, "sequence_id": 100, "annotations": []}
{"role": "volunteer", "content": "what are we left with?", "session_id": 16573, "sequence_id": 101, "annotations": []}
{"role": "student", "content": "1x", "session_id": 16573, "sequence_id": 102, "annotations": []}
{"role": "volunteer", "content": "yep!", "session_id": 16573, "sequence_id": 103, "annotations": []}
{"role": "volunteer", "content": "so where we wrote", "session_id": 16573, "sequence_id": 104, "annotations": []}
{"role": "volunteer", "content": "9=-54 before", "session_id": 16573, "sequence_id": 105, "annotations": []}
{"role": "volunteer", "content": "what do we change on the left", "session_id": 16573, "sequence_id": 106, "annotations": []}
{"role": "volunteer", "content": "instead of it being a 9 it should be?", "session_id": 16573, "sequence_id": 107, "annotations": []}
{"role": "student", "content": "1x", "session_id": 16573, "sequence_id": 108, "annotations": []}
{"role": "volunteer", "content": "right!", "session_id": 16573, "sequence_id": 109, "annotations": []}
{"role": "student", "content": "wait where did you get -54?", "session_id": 16573, "sequence_id": 110, "annotations": []}
{"role": "student", "content": "ohh", "session_id": 16573, "sequence_id": 111, "annotations": []}
{"role": "student", "content": "sorry", "session_id": 16573, "sequence_id": 112, "annotations": []}
{"role": "student", "content": "you multiplied 9 by 6", "session_id": 16573, "sequence_id": 113, "annotations": []}
{"role": "volunteer", "content": "oh I'm looking at the top part", "session_id": 16573, "sequence_id": 114, "annotations": []}
{"role": "volunteer", "content": "that you wrote down", "session_id": 16573, "sequence_id": 115, "annotations": []}
{"role": "volunteer", "content": "earlier", "session_id": 16573, "sequence_id": 116, "annotations": []}
{"role": "volunteer", "content": "but yes!", "session_id": 16573, "sequence_id": 117, "annotations": []}
{"role": "student", "content": "ohh", "session_id": 16573, "sequence_id": 118, "annotations": []}
{"role": "volunteer", "content": "ok so what do you think the final answer is", "session_id": 16573, "sequence_id": 119, "annotations": []}
{"role": "volunteer", "content": "if so far we have 1x on the left and we know that if we do something on the left we have to do it on the right", "session_id": 16573, "sequence_id": 120, "annotations": []}
{"role": "volunteer", "content": "so right now our answer looks like this", "session_id": 16573, "sequence_id": 121, "annotations": []}
{"role": "student", "content": "-6", "session_id": 16573, "sequence_id": 122, "annotations": []}
{"role": "volunteer", "content": "if we multiplied 9 on the left", "session_id": 16573, "sequence_id": 123, "annotations": []}
{"role": "volunteer", "content": "that means we have to?", "session_id": 16573, "sequence_id": 124, "annotations": []}
{"role": "student", "content": "multiply on the right", "session_id": 16573, "sequence_id": 125, "annotations": []}
{"role": "volunteer", "content": "cause remember it has to be balanced", "session_id": 16573, "sequence_id": 126, "annotations": []}
{"role": "volunteer", "content": "yes!", "session_id": 16573, "sequence_id": 127, "annotations": []}
{"role": "volunteer", "content": "and what's on the right?", "session_id": 16573, "sequence_id": 128, "annotations": []}
{"role": "student", "content": "-6", "session_id": 16573, "sequence_id": 129, "annotations": []}
{"role": "volunteer", "content": "so what would be our final answer", "session_id": 16573, "sequence_id": 130, "annotations": []}
{"role": "volunteer", "content": "x=?", "session_id": 16573, "sequence_id": 131, "annotations": []}
{"role": "volunteer", "content": "or 1x=?", "session_id": 16573, "sequence_id": 132, "annotations": []}
{"role": "volunteer", "content": "if we know that 1x is what remains on the left and -6*9 is what remains on the right", "session_id": 16573, "sequence_id": 133, "annotations": []}
{"role": "student", "content": "-54x?", "session_id": 16573, "sequence_id": 134, "annotations": []}
{"role": "volunteer", "content": "really close!", "session_id": 16573, "sequence_id": 135, "annotations": []}
{"role": "volunteer", "content": "remember the left and right are separate right now", "session_id": 16573, "sequence_id": 136, "annotations": []}
{"role": "volunteer", "content": "so to simplify things a bit", "session_id": 16573, "sequence_id": 137, "annotations": []}
{"role": "volunteer", "content": "let's do it step by step", "session_id": 16573, "sequence_id": 138, "annotations": []}
{"role": "student", "content": "okay", "session_id": 16573, "sequence_id": 139, "annotations": []}
{"role": "volunteer", "content": "so we said that we have to multiply -6 by?", "session_id": 16573, "sequence_id": 140, "annotations": []}
{"role": "student", "content": "9", "session_id": 16573, "sequence_id": 141, "annotations": []}
{"role": "volunteer", "content": "and that gives us?", "session_id": 16573, "sequence_id": 142, "annotations": []}
{"role": "student", "content": "-54", "session_id": 16573, "sequence_id": 143, "annotations": []}
{"role": "volunteer", "content": "right!", "session_id": 16573, "sequence_id": 144, "annotations": []}
{"role": "volunteer", "content": "and which side should that be on", "session_id": 16573, "sequence_id": 145, "annotations": []}
{"role": "student", "content": "the right", "session_id": 16573, "sequence_id": 146, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 16573, "sequence_id": 147, "annotations": []}
{"role": "volunteer", "content": "so", "session_id": 16573, "sequence_id": 148, "annotations": []}
{"role": "volunteer", "content": "then we are left with", "session_id": 16573, "sequence_id": 149, "annotations": []}
{"role": "volunteer", "content": "1x=-54", "session_id": 16573, "sequence_id": 150, "annotations": []}
{"role": "volunteer", "content": "and then we can leave it as that", "session_id": 16573, "sequence_id": 151, "annotations": []}
{"role": "volunteer", "content": "because for this we are basically being asked", "session_id": 16573, "sequence_id": 152, "annotations": []}
{"role": "volunteer", "content": "what is x?", "session_id": 16573, "sequence_id": 153, "annotations": []}
{"role": "student", "content": "-54", "session_id": 16573, "sequence_id": 154, "annotations": []}
{"role": "volunteer", "content": "and what can we do to simplify things to get x by itself", "session_id": 16573, "sequence_id": 155, "annotations": []}
{"role": "volunteer", "content": "correct!", "session_id": 16573, "sequence_id": 156, "annotations": []}
{"role": "student", "content": "yes", "session_id": 16573, "sequence_id": 157, "annotations": []}
{"role": "volunteer", "content": "yep! just make sure you include the x= part", "session_id": 16573, "sequence_id": 158, "annotations": []}
{"role": "volunteer", "content": "because otherwise it might get confusing", "session_id": 16573, "sequence_id": 159, "annotations": []}
{"role": "student", "content": "oh okay", "session_id": 16573, "sequence_id": 160, "annotations": []}
{"role": "student", "content": "thank you", "session_id": 16573, "sequence_id": 161, "annotations": []}
{"role": "volunteer", "content": "is that the only question you have or are there more?", "session_id": 16573, "sequence_id": 162, "annotations": []}
{"role": "volunteer", "content": "I'm happy to help with anything else", "session_id": 16573, "sequence_id": 163, "annotations": []}
{"role": "student", "content": "yes there are more sorry", "session_id": 16573, "sequence_id": 164, "annotations": []}
{"role": "volunteer", "content": "no it's all good!", "session_id": 16573, "sequence_id": 165, "annotations": []}
{"role": "volunteer", "content": "Don't worry :D", "session_id": 16573, "sequence_id": 166, "annotations": []}
{"role": "student", "content": "thank you you help me a lot", "session_id": 16573, "sequence_id": 167, "annotations": []}
{"role": "volunteer", "content": "no problem! I hope this helped. You'll do great in math:D", "session_id": 16573, "sequence_id": 168, "annotations": []}
{"role": "volunteer", "content": "you got this!", "session_id": 16573, "sequence_id": 169, "annotations": []}
{"role": "student", "content": "thank you", "session_id": 16573, "sequence_id": 170, "annotations": []}
{"role": "volunteer", "content": "ok let's go to the next question", "session_id": 16573, "sequence_id": 171, "annotations": []}
{"role": "volunteer", "content": "feel free to write it on the board", "session_id": 16573, "sequence_id": 172, "annotations": []}
{"role": "student", "content": "okay its", "session_id": 16573, "sequence_id": 173, "annotations": []}
{"role": "student", "content": "okay", "session_id": 16573, "sequence_id": 174, "annotations": []}
{"role": "volunteer", "content": "or typing", "session_id": 16573, "sequence_id": 175, "annotations": []}
{"role": "volunteer", "content": "either is ok", "session_id": 16573, "sequence_id": 176, "annotations": []}
{"role": "volunteer", "content": "ok!", "session_id": 16573, "sequence_id": 177, "annotations": []}
{"role": "volunteer", "content": "so for this", "session_id": 16573, "sequence_id": 178, "annotations": []}
{"role": "volunteer", "content": "n or any letter really just means x", "session_id": 16573, "sequence_id": 179, "annotations": []}
{"role": "volunteer", "content": "as they all just represent something", "session_id": 16573, "sequence_id": 180, "annotations": []}
{"role": "volunteer", "content": "so we can treat it in the same way as we treat x", "session_id": 16573, "sequence_id": 181, "annotations": []}
{"role": "student", "content": "yes", "session_id": 16573, "sequence_id": 182, "annotations": []}
{"role": "volunteer", "content": "and what is our goal with x?", "session_id": 16573, "sequence_id": 183, "annotations": []}
{"role": "volunteer", "content": "we want to?", "session_id": 16573, "sequence_id": 184, "annotations": []}
{"role": "student", "content": "find it", "session_id": 16573, "sequence_id": 185, "annotations": []}
{"role": "volunteer", "content": "yep! and in order to do that", "session_id": 16573, "sequence_id": 186, "annotations": []}
{"role": "volunteer", "content": "we have to get it by itself", "session_id": 16573, "sequence_id": 187, "annotations": []}
{"role": "volunteer", "content": "on one side", "session_id": 16573, "sequence_id": 188, "annotations": []}
{"role": "student", "content": "okay", "session_id": 16573, "sequence_id": 189, "annotations": []}
{"role": "volunteer", "content": "so what do you think would be a good first step?", "session_id": 16573, "sequence_id": 190, "annotations": []}
{"role": "student", "content": "distributing", "session_id": 16573, "sequence_id": 191, "annotations": []}
{"role": "volunteer", "content": "yes!", "session_id": 16573, "sequence_id": 192, "annotations": []}
{"role": "volunteer", "content": "can you show that on the board?", "session_id": 16573, "sequence_id": 193, "annotations": []}
{"role": "volunteer", "content": "nice! and then what do we get as the result after distributing?", "session_id": 16573, "sequence_id": 194, "annotations": []}
{"role": "volunteer", "content": "you can write it under", "session_id": 16573, "sequence_id": 195, "annotations": []}
{"role": "volunteer", "content": "so close make sure we remember the n", "session_id": 16573, "sequence_id": 196, "annotations": []}
{"role": "student", "content": "okay", "session_id": 16573, "sequence_id": 197, "annotations": []}
{"role": "volunteer", "content": "yes! awesome", "session_id": 16573, "sequence_id": 198, "annotations": []}
{"role": "volunteer", "content": "ok so that's our left", "session_id": 16573, "sequence_id": 199, "annotations": []}
{"role": "student", "content": "okay", "session_id": 16573, "sequence_id": 200, "annotations": []}
{"role": "volunteer", "content": "mm do you mind showing how you got 24n?", "session_id": 16573, "sequence_id": 201, "annotations": []}
{"role": "student", "content": "i added 36 by -12", "session_id": 16573, "sequence_id": 202, "annotations": []}
{"role": "student", "content": "then i just put n", "session_id": 16573, "sequence_id": 203, "annotations": []}
{"role": "volunteer", "content": "ahh I see ok", "session_id": 16573, "sequence_id": 204, "annotations": []}
{"role": "volunteer", "content": "so with n and any variables like x, y, or z", "session_id": 16573, "sequence_id": 205, "annotations": []}
{"role": "volunteer", "content": "that just means it's some number", "session_id": 16573, "sequence_id": 206, "annotations": []}
{"role": "volunteer", "content": "but because we don't know", "session_id": 16573, "sequence_id": 207, "annotations": []}
{"role": "volunteer", "content": "what number it is", "session_id": 16573, "sequence_id": 208, "annotations": []}
{"role": "student", "content": "yes", "session_id": 16573, "sequence_id": 209, "annotations": []}
{"role": "volunteer", "content": "we can't add numbers with the variable and numbers without together", "session_id": 16573, "sequence_id": 210, "annotations": []}
{"role": "volunteer", "content": "so because 36n has the n attached", "session_id": 16573, "sequence_id": 211, "annotations": []}
{"role": "volunteer", "content": "what does that mean we can't do?", "session_id": 16573, "sequence_id": 212, "annotations": []}
{"role": "student", "content": "put n for like the answer", "session_id": 16573, "sequence_id": 213, "annotations": []}
{"role": "volunteer", "content": "we can, but specifically can we add it to -12?", "session_id": 16573, "sequence_id": 214, "annotations": []}
{"role": "volunteer", "content": "does -12 have the n attached also?", "session_id": 16573, "sequence_id": 215, "annotations": []}
{"role": "student", "content": "no", "session_id": 16573, "sequence_id": 216, "annotations": []}
{"role": "volunteer", "content": "right", "session_id": 16573, "sequence_id": 217, "annotations": []}
{"role": "volunteer", "content": "so what should our answer just be?", "session_id": 16573, "sequence_id": 218, "annotations": []}
{"role": "student", "content": "just 24", "session_id": 16573, "sequence_id": 219, "annotations": []}
{"role": "volunteer", "content": "and you got 24 because you did what steps?", "session_id": 16573, "sequence_id": 220, "annotations": []}
{"role": "student", "content": "i added 36n by -12", "session_id": 16573, "sequence_id": 221, "annotations": []}
{"role": "volunteer", "content": "and can we do that?", "session_id": 16573, "sequence_id": 222, "annotations": []}
{"role": "student", "content": "ohh sorry", "session_id": 16573, "sequence_id": 223, "annotations": []}
{"role": "volunteer", "content": "no it's all good don't worry!", "session_id": 16573, "sequence_id": 224, "annotations": []}
{"role": "volunteer", "content": "I like the thought", "session_id": 16573, "sequence_id": 225, "annotations": []}
{"role": "volunteer", "content": "so right now on our left", "session_id": 16573, "sequence_id": 226, "annotations": []}
{"role": "volunteer", "content": "instead of simplifying to 24n", "session_id": 16573, "sequence_id": 227, "annotations": []}
{"role": "volunteer", "content": "we should just have?", "session_id": 16573, "sequence_id": 228, "annotations": []}
{"role": "student", "content": "24?", "session_id": 16573, "sequence_id": 229, "annotations": []}
{"role": "volunteer", "content": "close", "session_id": 16573, "sequence_id": 230, "annotations": []}
{"role": "volunteer", "content": "but remember we can't add them", "session_id": 16573, "sequence_id": 231, "annotations": []}
{"role": "volunteer", "content": "because they're not like terms", "session_id": 16573, "sequence_id": 232, "annotations": []}
{"role": "volunteer", "content": "since one has n and one doesn't", "session_id": 16573, "sequence_id": 233, "annotations": []}
{"role": "volunteer", "content": "and if we don't have like terms we can't do anything yet so that means", "session_id": 16573, "sequence_id": 234, "annotations": []}
{"role": "volunteer", "content": "we are left with?", "session_id": 16573, "sequence_id": 235, "annotations": []}
{"role": "student", "content": "36n", "session_id": 16573, "sequence_id": 236, "annotations": []}
{"role": "volunteer", "content": "yep and?", "session_id": 16573, "sequence_id": 237, "annotations": []}
{"role": "student", "content": "-12", "session_id": 16573, "sequence_id": 238, "annotations": []}
{"role": "volunteer", "content": "so on the left", "session_id": 16573, "sequence_id": 239, "annotations": []}
{"role": "volunteer", "content": "it would be", "session_id": 16573, "sequence_id": 240, "annotations": []}
{"role": "student", "content": "36n and -12", "session_id": 16573, "sequence_id": 241, "annotations": []}
{"role": "volunteer", "content": "yes!", "session_id": 16573, "sequence_id": 242, "annotations": []}
{"role": "volunteer", "content": "so they would just be left", "session_id": 16573, "sequence_id": 243, "annotations": []}
{"role": "volunteer", "content": "unsimplified", "session_id": 16573, "sequence_id": 244, "annotations": []}
{"role": "volunteer", "content": "for that step", "session_id": 16573, "sequence_id": 245, "annotations": []}
{"role": "volunteer", "content": "until we can do more", "session_id": 16573, "sequence_id": 246, "annotations": []}
{"role": "student", "content": "so like i never add or subtract anything i got fro distributing?", "session_id": 16573, "sequence_id": 247, "annotations": []}
{"role": "volunteer", "content": "you can but only if", "session_id": 16573, "sequence_id": 248, "annotations": []}
{"role": "volunteer", "content": "they're like terms", "session_id": 16573, "sequence_id": 249, "annotations": []}
{"role": "volunteer", "content": "so", "session_id": 16573, "sequence_id": 250, "annotations": []}
{"role": "volunteer", "content": "let me give you an example", "session_id": 16573, "sequence_id": 251, "annotations": []}
{"role": "volunteer", "content": "it might help make things clearer", "session_id": 16573, "sequence_id": 252, "annotations": []}
{"role": "volunteer", "content": "ok so", "session_id": 16573, "sequence_id": 253, "annotations": []}
{"role": "volunteer", "content": "see how I have 1n + 1n?", "session_id": 16573, "sequence_id": 254, "annotations": []}
{"role": "student", "content": "yes", "session_id": 16573, "sequence_id": 255, "annotations": []}
{"role": "volunteer", "content": "and how they both have n", "session_id": 16573, "sequence_id": 256, "annotations": []}
{"role": "student", "content": "yes like terms", "session_id": 16573, "sequence_id": 257, "annotations": []}
{"role": "volunteer", "content": "right!", "session_id": 16573, "sequence_id": 258, "annotations": []}
{"role": "volunteer", "content": "so that means", "session_id": 16573, "sequence_id": 259, "annotations": []}
{"role": "volunteer", "content": "I can do what?", "session_id": 16573, "sequence_id": 260, "annotations": []}
{"role": "student", "content": "you can add/subtract but add right now", "session_id": 16573, "sequence_id": 261, "annotations": []}
{"role": "volunteer", "content": "yes!", "session_id": 16573, "sequence_id": 262, "annotations": []}
{"role": "volunteer", "content": "so our result would be?", "session_id": 16573, "sequence_id": 263, "annotations": []}
{"role": "student", "content": "2n", "session_id": 16573, "sequence_id": 264, "annotations": []}
{"role": "volunteer", "content": "right!", "session_id": 16573, "sequence_id": 265, "annotations": []}
{"role": "volunteer", "content": "so for", "session_id": 16573, "sequence_id": 266, "annotations": []}
{"role": "volunteer", "content": "distribution", "session_id": 16573, "sequence_id": 267, "annotations": []}
{"role": "volunteer", "content": "that doesn't change", "session_id": 16573, "sequence_id": 268, "annotations": []}
{"role": "volunteer", "content": "so if I had", "session_id": 16573, "sequence_id": 269, "annotations": []}
{"role": "volunteer", "content": "perfect!", "session_id": 16573, "sequence_id": 270, "annotations": []}
{"role": "volunteer", "content": "we can do that here", "session_id": 16573, "sequence_id": 271, "annotations": []}
{"role": "volunteer", "content": "because they're like terms", "session_id": 16573, "sequence_id": 272, "annotations": []}
{"role": "volunteer", "content": "but because in the original", "session_id": 16573, "sequence_id": 273, "annotations": []}
{"role": "volunteer", "content": "problem", "session_id": 16573, "sequence_id": 274, "annotations": []}
{"role": "volunteer", "content": "they weren't", "session_id": 16573, "sequence_id": 275, "annotations": []}
{"role": "volunteer", "content": "we had to leave it", "session_id": 16573, "sequence_id": 276, "annotations": []}
{"role": "volunteer", "content": "is it kinda clearer now?", "session_id": 16573, "sequence_id": 277, "annotations": []}
{"role": "student", "content": "yes thank you", "session_id": 16573, "sequence_id": 278, "annotations": []}
{"role": "volunteer", "content": "nice!", "session_id": 16573, "sequence_id": 279, "annotations": []}
{"role": "volunteer", "content": "ok so", "session_id": 16573, "sequence_id": 280, "annotations": []}
{"role": "volunteer", "content": "going back", "session_id": 16573, "sequence_id": 281, "annotations": []}
{"role": "volunteer", "content": "on the left", "session_id": 16573, "sequence_id": 282, "annotations": []}
{"role": "volunteer", "content": "we are left with", "session_id": 16573, "sequence_id": 283, "annotations": []}
{"role": "volunteer", "content": "36n -12 correct?", "session_id": 16573, "sequence_id": 284, "annotations": []}
{"role": "student", "content": "yes", "session_id": 16573, "sequence_id": 285, "annotations": []}
{"role": "volunteer", "content": "ok!", "session_id": 16573, "sequence_id": 286, "annotations": []}
{"role": "volunteer", "content": "so now", "session_id": 16573, "sequence_id": 287, "annotations": []}
{"role": "volunteer", "content": "we bring down", "session_id": 16573, "sequence_id": 288, "annotations": []}
{"role": "volunteer", "content": "the -228", "session_id": 16573, "sequence_id": 289, "annotations": []}
{"role": "volunteer", "content": "because we haven't done", "session_id": 16573, "sequence_id": 290, "annotations": []}
{"role": "volunteer", "content": "anything to it yet", "session_id": 16573, "sequence_id": 291, "annotations": []}
{"role": "student", "content": "okay", "session_id": 16573, "sequence_id": 292, "annotations": []}
{"role": "volunteer", "content": "so now", "session_id": 16573, "sequence_id": 293, "annotations": []}
{"role": "volunteer", "content": "this is our new modified equation", "session_id": 16573, "sequence_id": 294, "annotations": []}
{"role": "volunteer", "content": "but", "session_id": 16573, "sequence_id": 295, "annotations": []}
{"role": "volunteer", "content": "is n alone?", "session_id": 16573, "sequence_id": 296, "annotations": []}
{"role": "student", "content": "so i just reqrite equatio", "session_id": 16573, "sequence_id": 297, "annotations": []}
{"role": "student", "content": "no", "session_id": 16573, "sequence_id": 298, "annotations": []}
{"role": "volunteer", "content": "right so that means we have more steps", "session_id": 16573, "sequence_id": 299, "annotations": []}
{"role": "volunteer", "content": "so if we know we can't add 36n and -12", "session_id": 16573, "sequence_id": 300, "annotations": []}
{"role": "volunteer", "content": "and we want to get n by itself", "session_id": 16573, "sequence_id": 301, "annotations": []}
{"role": "volunteer", "content": "what can we do", "session_id": 16573, "sequence_id": 302, "annotations": []}
{"role": "volunteer", "content": "step by step", "session_id": 16573, "sequence_id": 303, "annotations": []}
{"role": "volunteer", "content": "to -12", "session_id": 16573, "sequence_id": 304, "annotations": []}
{"role": "volunteer", "content": "in order to get it to the other side?", "session_id": 16573, "sequence_id": 305, "annotations": []}
{"role": "student", "content": "-12-12", "session_id": 16573, "sequence_id": 306, "annotations": []}
{"role": "student", "content": "??", "session_id": 16573, "sequence_id": 307, "annotations": []}
{"role": "volunteer", "content": "close! but remember we do opposite operations", "session_id": 16573, "sequence_id": 308, "annotations": []}
{"role": "volunteer", "content": "if we did multiplying for divsion", "session_id": 16573, "sequence_id": 309, "annotations": []}
{"role": "volunteer", "content": "what would we do for subtraction/minus", "session_id": 16573, "sequence_id": 310, "annotations": []}
{"role": "student", "content": "ohh multiply?", "session_id": 16573, "sequence_id": 311, "annotations": []}
{"role": "student", "content": "oh no", "session_id": 16573, "sequence_id": 312, "annotations": []}
{"role": "student", "content": "add", "session_id": 16573, "sequence_id": 313, "annotations": []}
{"role": "volunteer", "content": "yes!", "session_id": 16573, "sequence_id": 314, "annotations": []}
{"role": "volunteer", "content": "and we need to do that on", "session_id": 16573, "sequence_id": 315, "annotations": []}
{"role": "volunteer", "content": "just the left?", "session_id": 16573, "sequence_id": 316, "annotations": []}
{"role": "volunteer", "content": "or no?", "session_id": 16573, "sequence_id": 317, "annotations": []}
{"role": "student", "content": "yes", "session_id": 16573, "sequence_id": 318, "annotations": []}
{"role": "volunteer", "content": "think back to before did we only do one side?", "session_id": 16573, "sequence_id": 319, "annotations": []}
{"role": "student", "content": "yes", "session_id": 16573, "sequence_id": 320, "annotations": []}
{"role": "volunteer", "content": "are you extra sure?!", "session_id": 16573, "sequence_id": 321, "annotations": []}
{"role": "student", "content": "i need to add -12 to 36?", "session_id": 16573, "sequence_id": 322, "annotations": []}
{"role": "student", "content": "yes", "session_id": 16573, "sequence_id": 323, "annotations": []}
{"role": "volunteer", "content": "if we do something on one sde", "session_id": 16573, "sequence_id": 324, "annotations": []}
{"role": "volunteer", "content": "side", "session_id": 16573, "sequence_id": 325, "annotations": []}
{"role": "volunteer", "content": "we have to?", "session_id": 16573, "sequence_id": 326, "annotations": []}
{"role": "student", "content": "to on other side", "session_id": 16573, "sequence_id": 327, "annotations": []}
{"role": "volunteer", "content": "yep!", "session_id": 16573, "sequence_id": 328, "annotations": []}
{"role": "volunteer", "content": "so would it only be the left?", "session_id": 16573, "sequence_id": 329, "annotations": []}
{"role": "volunteer", "content": "that we would be adding", "session_id": 16573, "sequence_id": 330, "annotations": []}
{"role": "volunteer", "content": "to", "session_id": 16573, "sequence_id": 331, "annotations": []}
{"role": "volunteer", "content": "or also the right?", "session_id": 16573, "sequence_id": 332, "annotations": []}
{"role": "student", "content": "no it needs to bec on right too", "session_id": 16573, "sequence_id": 333, "annotations": []}
{"role": "student", "content": "be", "session_id": 16573, "sequence_id": 334, "annotations": []}
{"role": "volunteer", "content": "yes!", "session_id": 16573, "sequence_id": 335, "annotations": []}
{"role": "volunteer", "content": "so", "session_id": 16573, "sequence_id": 336, "annotations": []}
{"role": "volunteer", "content": "if we do +12", "session_id": 16573, "sequence_id": 337, "annotations": []}
{"role": "volunteer", "content": "on the left", "session_id": 16573, "sequence_id": 338, "annotations": []}
{"role": "volunteer", "content": "what would happen", "session_id": 16573, "sequence_id": 339, "annotations": []}
{"role": "volunteer", "content": "since -12 is already there", "session_id": 16573, "sequence_id": 340, "annotations": []}
{"role": "volunteer", "content": "if we add 12", "session_id": 16573, "sequence_id": 341, "annotations": []}
{"role": "volunteer", "content": "are -12 and 12 like terms?", "session_id": 16573, "sequence_id": 342, "annotations": []}
{"role": "student", "content": "no", "session_id": 16573, "sequence_id": 343, "annotations": []}
{"role": "volunteer", "content": "you sure?", "session_id": 16573, "sequence_id": 344, "annotations": []}
{"role": "student", "content": "they are like terms", "session_id": 16573, "sequence_id": 345, "annotations": []}
{"role": "volunteer", "content": "yes!", "session_id": 16573, "sequence_id": 346, "annotations": []}
{"role": "volunteer", "content": "so that means we can?", "session_id": 16573, "sequence_id": 347, "annotations": []}
{"role": "student", "content": "add", "session_id": 16573, "sequence_id": 348, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 16573, "sequence_id": 349, "annotations": []}
{"role": "volunteer", "content": "so if we add -12 to 12", "session_id": 16573, "sequence_id": 350, "annotations": []}
{"role": "volunteer", "content": "what would be get", "session_id": 16573, "sequence_id": 351, "annotations": []}
{"role": "student", "content": "0", "session_id": 16573, "sequence_id": 352, "annotations": []}
{"role": "volunteer", "content": "right", "session_id": 16573, "sequence_id": 353, "annotations": []}
{"role": "volunteer", "content": "so they cancel", "session_id": 16573, "sequence_id": 354, "annotations": []}
{"role": "student", "content": "yes", "session_id": 16573, "sequence_id": 355, "annotations": []}
{"role": "volunteer", "content": "a lot of this is just cancelling stuff out until we can get n or the variable by itself", "session_id": 16573, "sequence_id": 356, "annotations": []}
{"role": "volunteer", "content": "you'll see it a lot for these types and even later", "session_id": 16573, "sequence_id": 357, "annotations": []}
{"role": "student", "content": "ok", "session_id": 16573, "sequence_id": 358, "annotations": []}
{"role": "volunteer", "content": "so now", "session_id": 16573, "sequence_id": 359, "annotations": []}
{"role": "volunteer", "content": "what do we have on the left remaining", "session_id": 16573, "sequence_id": 360, "annotations": []}
{"role": "student", "content": "36n", "session_id": 16573, "sequence_id": 361, "annotations": []}
{"role": "volunteer", "content": "right", "session_id": 16573, "sequence_id": 362, "annotations": []}
{"role": "volunteer", "content": "and on the right?", "session_id": 16573, "sequence_id": 363, "annotations": []}
{"role": "student", "content": "-240", "session_id": 16573, "sequence_id": 364, "annotations": []}
{"role": "volunteer", "content": "right", "session_id": 16573, "sequence_id": 365, "annotations": []}
{"role": "volunteer", "content": "so we can bring it down again", "session_id": 16573, "sequence_id": 366, "annotations": []}
{"role": "volunteer", "content": "yes!", "session_id": 16573, "sequence_id": 367, "annotations": []}
{"role": "volunteer", "content": "perfect", "session_id": 16573, "sequence_id": 368, "annotations": []}
{"role": "volunteer", "content": "ok so now", "session_id": 16573, "sequence_id": 369, "annotations": []}
{"role": "volunteer", "content": "if i have 36n", "session_id": 16573, "sequence_id": 370, "annotations": []}
{"role": "volunteer", "content": "that's the same thing", "session_id": 16573, "sequence_id": 371, "annotations": []}
{"role": "volunteer", "content": "as me saying", "session_id": 16573, "sequence_id": 372, "annotations": []}
{"role": "volunteer", "content": "36 times n", "session_id": 16573, "sequence_id": 373, "annotations": []}
{"role": "student", "content": "i divide 36?", "session_id": 16573, "sequence_id": 374, "annotations": []}
{"role": "volunteer", "content": "so what would we do?", "session_id": 16573, "sequence_id": 375, "annotations": []}
{"role": "volunteer", "content": "Yes!", "session_id": 16573, "sequence_id": 376, "annotations": []}
{"role": "volunteer", "content": "perfect", "session_id": 16573, "sequence_id": 377, "annotations": []}
{"role": "student", "content": "okay", "session_id": 16573, "sequence_id": 378, "annotations": []}
{"role": "volunteer", "content": "and if we do it on the left?", "session_id": 16573, "sequence_id": 379, "annotations": []}
{"role": "volunteer", "content": "yes!", "session_id": 16573, "sequence_id": 380, "annotations": []}
{"role": "student", "content": "decimal?", "session_id": 16573, "sequence_id": 381, "annotations": []}
{"role": "volunteer", "content": "yeah", "session_id": 16573, "sequence_id": 382, "annotations": []}
{"role": "student", "content": "okay", "session_id": 16573, "sequence_id": 383, "annotations": []}
{"role": "volunteer", "content": "you can leave it as a decimal", "session_id": 16573, "sequence_id": 384, "annotations": []}
{"role": "volunteer", "content": "or you can", "session_id": 16573, "sequence_id": 385, "annotations": []}
{"role": "volunteer", "content": "simplify the fraction", "session_id": 16573, "sequence_id": 386, "annotations": []}
{"role": "student", "content": "okay", "session_id": 16573, "sequence_id": 387, "annotations": []}
{"role": "student", "content": "-6.7", "session_id": 16573, "sequence_id": 388, "annotations": []}
{"role": "volunteer", "content": "right", "session_id": 16573, "sequence_id": 389, "annotations": []}
{"role": "student", "content": "6 7", "session_id": 16573, "sequence_id": 390, "annotations": []}
{"role": "volunteer", "content": "and in case", "session_id": 16573, "sequence_id": 391, "annotations": []}
{"role": "volunteer", "content": "they're looking", "session_id": 16573, "sequence_id": 392, "annotations": []}
{"role": "volunteer", "content": "for a fraction", "session_id": 16573, "sequence_id": 393, "annotations": []}
{"role": "volunteer", "content": "specifically", "session_id": 16573, "sequence_id": 394, "annotations": []}
{"role": "volunteer", "content": "how can we simplify 240/30", "session_id": 16573, "sequence_id": 395, "annotations": []}
{"role": "student", "content": "divide?", "session_id": 16573, "sequence_id": 396, "annotations": []}
{"role": "volunteer", "content": "36", "session_id": 16573, "sequence_id": 397, "annotations": []}
{"role": "volunteer", "content": "yeah and by how much", "session_id": 16573, "sequence_id": 398, "annotations": []}
{"role": "student", "content": "i dont know", "session_id": 16573, "sequence_id": 399, "annotations": []}
{"role": "volunteer", "content": "no problem!", "session_id": 16573, "sequence_id": 400, "annotations": []}
{"role": "volunteer", "content": "so what number is a multiple", "session_id": 16573, "sequence_id": 401, "annotations": []}
{"role": "volunteer", "content": "240", "session_id": 16573, "sequence_id": 402, "annotations": []}
{"role": "volunteer", "content": "so what times what 240", "session_id": 16573, "sequence_id": 403, "annotations": []}
{"role": "student", "content": "1x240", "session_id": 16573, "sequence_id": 404, "annotations": []}
{"role": "volunteer", "content": "yep!", "session_id": 16573, "sequence_id": 405, "annotations": []}
{"role": "volunteer", "content": "any others?", "session_id": 16573, "sequence_id": 406, "annotations": []}
{"role": "student", "content": "2x120", "session_id": 16573, "sequence_id": 407, "annotations": []}
{"role": "volunteer", "content": "yep!", "session_id": 16573, "sequence_id": 408, "annotations": []}
{"role": "volunteer", "content": "any other bigger ones?", "session_id": 16573, "sequence_id": 409, "annotations": []}
{"role": "volunteer", "content": "because the bigger it is", "session_id": 16573, "sequence_id": 410, "annotations": []}
{"role": "volunteer", "content": "the less steps", "session_id": 16573, "sequence_id": 411, "annotations": []}
{"role": "volunteer", "content": "but we could use 2 if you'd like", "session_id": 16573, "sequence_id": 412, "annotations": []}
{"role": "student", "content": "16x15??", "session_id": 16573, "sequence_id": 413, "annotations": []}
{"role": "student", "content": "i think thats the biggest lol", "session_id": 16573, "sequence_id": 414, "annotations": []}
{"role": "volunteer", "content": "that works", "session_id": 16573, "sequence_id": 415, "annotations": []}
{"role": "volunteer", "content": "but does 16 go into 30", "session_id": 16573, "sequence_id": 416, "annotations": []}
{"role": "volunteer", "content": "evenly", "session_id": 16573, "sequence_id": 417, "annotations": []}
{"role": "student", "content": "ohh", "session_id": 16573, "sequence_id": 418, "annotations": []}
{"role": "volunteer", "content": "so like no decimal", "session_id": 16573, "sequence_id": 419, "annotations": []}
{"role": "volunteer", "content": "so if we had", "session_id": 16573, "sequence_id": 420, "annotations": []}
{"role": "volunteer", "content": "2*120 right", "session_id": 16573, "sequence_id": 421, "annotations": []}
{"role": "volunteer", "content": "so I'd divide 240 by 2", "session_id": 16573, "sequence_id": 422, "annotations": []}
{"role": "volunteer", "content": "and that gives us?", "session_id": 16573, "sequence_id": 423, "annotations": []}
{"role": "student", "content": "30", "session_id": 16573, "sequence_id": 424, "annotations": []}
{"role": "volunteer", "content": "240/2?", "session_id": 16573, "sequence_id": 425, "annotations": []}
{"role": "student", "content": "120", "session_id": 16573, "sequence_id": 426, "annotations": []}
{"role": "volunteer", "content": "yeah!", "session_id": 16573, "sequence_id": 427, "annotations": []}
{"role": "volunteer", "content": "and if we divide", "session_id": 16573, "sequence_id": 428, "annotations": []}
{"role": "volunteer", "content": "the top by 2", "session_id": 16573, "sequence_id": 429, "annotations": []}
{"role": "volunteer", "content": "we have to divide", "session_id": 16573, "sequence_id": 430, "annotations": []}
{"role": "volunteer", "content": "the bottom", "session_id": 16573, "sequence_id": 431, "annotations": []}
{"role": "volunteer", "content": "by 2", "session_id": 16573, "sequence_id": 432, "annotations": []}
{"role": "volunteer", "content": "to keep the balance", "session_id": 16573, "sequence_id": 433, "annotations": []}
{"role": "volunteer", "content": "what would we get on the bottom?", "session_id": 16573, "sequence_id": 434, "annotations": []}
{"role": "student", "content": "30", "session_id": 16573, "sequence_id": 435, "annotations": []}
{"role": "volunteer", "content": "30/?", "session_id": 16573, "sequence_id": 436, "annotations": []}
{"role": "volunteer", "content": "if we need to divide both the top and bottom", "session_id": 16573, "sequence_id": 437, "annotations": []}
{"role": "volunteer", "content": "by 2", "session_id": 16573, "sequence_id": 438, "annotations": []}
{"role": "volunteer", "content": "we 240/2 and 30", "session_id": 16573, "sequence_id": 439, "annotations": []}
{"role": "volunteer", "content": "so for 30", "session_id": 16573, "sequence_id": 440, "annotations": []}
{"role": "volunteer", "content": "what would we get", "session_id": 16573, "sequence_id": 441, "annotations": []}
{"role": "student", "content": "divide by 2 so 15", "session_id": 16573, "sequence_id": 442, "annotations": []}
{"role": "volunteer", "content": "right!", "session_id": 16573, "sequence_id": 443, "annotations": []}
{"role": "volunteer", "content": "but now", "session_id": 16573, "sequence_id": 444, "annotations": []}
{"role": "volunteer", "content": "120 and 15", "session_id": 16573, "sequence_id": 445, "annotations": []}
{"role": "volunteer", "content": "could we reduce it more", "session_id": 16573, "sequence_id": 446, "annotations": []}
{"role": "student", "content": "yes", "session_id": 16573, "sequence_id": 447, "annotations": []}
{"role": "volunteer", "content": "as in could we keep dividing by the same number?", "session_id": 16573, "sequence_id": 448, "annotations": []}
{"role": "volunteer", "content": "yes!", "session_id": 16573, "sequence_id": 449, "annotations": []}
{"role": "volunteer", "content": "so what number?", "session_id": 16573, "sequence_id": 450, "annotations": []}
{"role": "student", "content": "2", "session_id": 16573, "sequence_id": 451, "annotations": []}
{"role": "volunteer", "content": "does 15/2 = a whole number?", "session_id": 16573, "sequence_id": 452, "annotations": []}
{"role": "student", "content": "no", "session_id": 16573, "sequence_id": 453, "annotations": []}
{"role": "student", "content": "oh 3", "session_id": 16573, "sequence_id": 454, "annotations": []}
{"role": "volunteer", "content": "right so we can only do it if it works out for both the top and bottom", "session_id": 16573, "sequence_id": 455, "annotations": []}
{"role": "volunteer", "content": "nice!", "session_id": 16573, "sequence_id": 456, "annotations": []}
{"role": "volunteer", "content": "so", "session_id": 16573, "sequence_id": 457, "annotations": []}
{"role": "volunteer", "content": "what would we get?", "session_id": 16573, "sequence_id": 458, "annotations": []}
{"role": "student", "content": "5", "session_id": 16573, "sequence_id": 459, "annotations": []}
{"role": "volunteer", "content": "on the top or bottom?", "session_id": 16573, "sequence_id": 460, "annotations": []}
{"role": "student", "content": "botto", "session_id": 16573, "sequence_id": 461, "annotations": []}
{"role": "volunteer", "content": "and what about the top", "session_id": 16573, "sequence_id": 462, "annotations": []}
{"role": "volunteer", "content": "if we divided 15 by 3", "session_id": 16573, "sequence_id": 463, "annotations": []}
{"role": "volunteer", "content": "and got 5", "session_id": 16573, "sequence_id": 464, "annotations": []}
{"role": "volunteer", "content": "what should we do to the numerator", "session_id": 16573, "sequence_id": 465, "annotations": []}
{"role": "student", "content": "by 3", "session_id": 16573, "sequence_id": 466, "annotations": []}
{"role": "volunteer", "content": "yes!", "session_id": 16573, "sequence_id": 467, "annotations": []}
{"role": "volunteer", "content": "and that gives us?", "session_id": 16573, "sequence_id": 468, "annotations": []}
{"role": "student", "content": "40", "session_id": 16573, "sequence_id": 469, "annotations": []}
{"role": "volunteer", "content": "right!", "session_id": 16573, "sequence_id": 470, "annotations": []}
{"role": "volunteer", "content": "can we divide it even more?", "session_id": 16573, "sequence_id": 471, "annotations": []}
{"role": "student", "content": "yes", "session_id": 16573, "sequence_id": 472, "annotations": []}
{"role": "volunteer", "content": "and what would we get?", "session_id": 16573, "sequence_id": 473, "annotations": []}
{"role": "student", "content": "oh no", "session_id": 16573, "sequence_id": 474, "annotations": []}
{"role": "student", "content": "we cant", "session_id": 16573, "sequence_id": 475, "annotations": []}
{"role": "volunteer", "content": "uh oh", "session_id": 16573, "sequence_id": 476, "annotations": []}
{"role": "volunteer", "content": "ok so i may have fumbled", "session_id": 16573, "sequence_id": 477, "annotations": []}
{"role": "volunteer", "content": "and forgot the bottom was a 36", "session_id": 16573, "sequence_id": 478, "annotations": []}
{"role": "volunteer", "content": "that's on me sorry guys", "session_id": 16573, "sequence_id": 479, "annotations": []}
{"role": "student", "content": "its okay", "session_id": 16573, "sequence_id": 480, "annotations": []}
{"role": "volunteer", "content": "BACKTRACK TIME", "session_id": 16573, "sequence_id": 481, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 16573, "sequence_id": 482, "annotations": []}
{"role": "volunteer", "content": "if we have", "session_id": 16573, "sequence_id": 483, "annotations": []}
{"role": "volunteer", "content": "240/36", "session_id": 16573, "sequence_id": 484, "annotations": []}
{"role": "volunteer", "content": "instead", "session_id": 16573, "sequence_id": 485, "annotations": []}
{"role": "volunteer", "content": "we do the same thing", "session_id": 16573, "sequence_id": 486, "annotations": []}
{"role": "volunteer", "content": "just different numbers this time", "session_id": 16573, "sequence_id": 487, "annotations": []}
{"role": "student", "content": "okay", "session_id": 16573, "sequence_id": 488, "annotations": []}
{"role": "volunteer", "content": "so what number goes into 240 and 36", "session_id": 16573, "sequence_id": 489, "annotations": []}
{"role": "volunteer", "content": "evenly", "session_id": 16573, "sequence_id": 490, "annotations": []}
{"role": "volunteer", "content": "we can still use the same numbers as before", "session_id": 16573, "sequence_id": 491, "annotations": []}
{"role": "student", "content": "12", "session_id": 16573, "sequence_id": 492, "annotations": []}
{"role": "volunteer", "content": "yeah", "session_id": 16573, "sequence_id": 493, "annotations": []}
{"role": "volunteer", "content": "that works", "session_id": 16573, "sequence_id": 494, "annotations": []}
{"role": "volunteer", "content": "and that gives us?", "session_id": 16573, "sequence_id": 495, "annotations": []}
{"role": "student", "content": "20 and 3", "session_id": 16573, "sequence_id": 496, "annotations": []}
{"role": "volunteer", "content": "nice!", "session_id": 16573, "sequence_id": 497, "annotations": []}
{"role": "volunteer", "content": "can we reduce it any further?", "session_id": 16573, "sequence_id": 498, "annotations": []}
{"role": "student", "content": "no", "session_id": 16573, "sequence_id": 499, "annotations": []}
{"role": "volunteer", "content": "right", "session_id": 16573, "sequence_id": 500, "annotations": []}
{"role": "volunteer", "content": "so that would be our", "session_id": 16573, "sequence_id": 501, "annotations": []}
{"role": "volunteer", "content": "fully reduced fraction", "session_id": 16573, "sequence_id": 502, "annotations": []}
{"role": "volunteer", "content": "and since on top", "session_id": 16573, "sequence_id": 503, "annotations": []}
{"role": "volunteer", "content": "when we divided 36n by 26", "session_id": 16573, "sequence_id": 504, "annotations": []}
{"role": "volunteer", "content": "36", "session_id": 16573, "sequence_id": 505, "annotations": []}
{"role": "volunteer", "content": "we were left with?", "session_id": 16573, "sequence_id": 506, "annotations": []}
{"role": "volunteer", "content": "think back to 9x/9", "session_id": 16573, "sequence_id": 507, "annotations": []}
{"role": "volunteer", "content": "if we know that 9/9 = 1, 10/10=1 then 36/36?", "session_id": 16573, "sequence_id": 508, "annotations": []}
{"role": "student", "content": "1", "session_id": 16573, "sequence_id": 509, "annotations": []}
{"role": "volunteer", "content": "right", "session_id": 16573, "sequence_id": 510, "annotations": []}
{"role": "volunteer", "content": "so we have", "session_id": 16573, "sequence_id": 511, "annotations": []}
{"role": "volunteer", "content": "1 * n", "session_id": 16573, "sequence_id": 512, "annotations": []}
{"role": "volunteer", "content": "and that's = to", "session_id": 16573, "sequence_id": 513, "annotations": []}
{"role": "student", "content": "yes", "session_id": 16573, "sequence_id": 514, "annotations": []}
{"role": "volunteer", "content": "1n", "session_id": 16573, "sequence_id": 515, "annotations": []}
{"role": "volunteer", "content": "so", "session_id": 16573, "sequence_id": 516, "annotations": []}
{"role": "volunteer", "content": "now that we have our reduced fraction", "session_id": 16573, "sequence_id": 517, "annotations": []}
{"role": "volunteer", "content": "that means", "session_id": 16573, "sequence_id": 518, "annotations": []}
{"role": "volunteer", "content": "ok now what would be on the right", "session_id": 16573, "sequence_id": 519, "annotations": []}
{"role": "student", "content": "1", "session_id": 16573, "sequence_id": 520, "annotations": []}
{"role": "volunteer", "content": "on the right?", "session_id": 16573, "sequence_id": 521, "annotations": []}
{"role": "volunteer", "content": "remember 1n was the left side", "session_id": 16573, "sequence_id": 522, "annotations": []}
{"role": "volunteer", "content": "and we dd the fractions to help out with which side?", "session_id": 16573, "sequence_id": 523, "annotations": []}
{"role": "volunteer", "content": "did", "session_id": 16573, "sequence_id": 524, "annotations": []}
{"role": "student", "content": "right", "session_id": 16573, "sequence_id": 525, "annotations": []}
{"role": "volunteer", "content": "right!", "session_id": 16573, "sequence_id": 526, "annotations": []}
{"role": "volunteer", "content": "so", "session_id": 16573, "sequence_id": 527, "annotations": []}
{"role": "volunteer", "content": "what would we put on the right?", "session_id": 16573, "sequence_id": 528, "annotations": []}
{"role": "student", "content": "36", "session_id": 16573, "sequence_id": 529, "annotations": []}
{"role": "volunteer", "content": "we sure?", "session_id": 16573, "sequence_id": 530, "annotations": []}
{"role": "volunteer", "content": "36 is gone because it turned into 1 remember", "session_id": 16573, "sequence_id": 531, "annotations": []}
{"role": "volunteer", "content": "do you want a hint?", "session_id": 16573, "sequence_id": 532, "annotations": []}
{"role": "student", "content": "yes", "session_id": 16573, "sequence_id": 533, "annotations": []}
{"role": "volunteer", "content": "in the original equation", "session_id": 16573, "sequence_id": 534, "annotations": []}
{"role": "volunteer", "content": "what was on the right", "session_id": 16573, "sequence_id": 535, "annotations": []}
{"role": "student", "content": "-20 over 3", "session_id": 16573, "sequence_id": 536, "annotations": []}
{"role": "volunteer", "content": "yes!", "session_id": 16573, "sequence_id": 537, "annotations": []}
{"role": "volunteer", "content": "so for our final answer", "session_id": 16573, "sequence_id": 538, "annotations": []}
{"role": "volunteer", "content": "what should go on the right", "session_id": 16573, "sequence_id": 539, "annotations": []}
{"role": "student", "content": "-20 over 3", "session_id": 16573, "sequence_id": 540, "annotations": []}
{"role": "volunteer", "content": "yeah!", "session_id": 16573, "sequence_id": 541, "annotations": []}
{"role": "volunteer", "content": "so our full thing", "session_id": 16573, "sequence_id": 542, "annotations": []}
{"role": "volunteer", "content": "is", "session_id": 16573, "sequence_id": 543, "annotations": []}
{"role": "student", "content": "ohhh", "session_id": 16573, "sequence_id": 544, "annotations": []}
{"role": "volunteer", "content": "what would we put there", "session_id": 16573, "sequence_id": 545, "annotations": []}
{"role": "student", "content": "-20 over 3", "session_id": 16573, "sequence_id": 546, "annotations": []}
{"role": "volunteer", "content": "yes!", "session_id": 16573, "sequence_id": 547, "annotations": []}
{"role": "volunteer", "content": "so our answer comes out to?", "session_id": 16573, "sequence_id": 548, "annotations": []}
{"role": "volunteer", "content": "full equation", "session_id": 16573, "sequence_id": 549, "annotations": []}
{"role": "volunteer", "content": "with our n by itself", "session_id": 16573, "sequence_id": 550, "annotations": []}
{"role": "student", "content": "1n=-20 over 3", "session_id": 16573, "sequence_id": 551, "annotations": []}
{"role": "volunteer", "content": "nice!", "session_id": 16573, "sequence_id": 552, "annotations": []}
{"role": "volunteer", "content": "so that would be the final", "session_id": 16573, "sequence_id": 553, "annotations": []}
{"role": "volunteer", "content": "in fraction", "session_id": 16573, "sequence_id": 554, "annotations": []}
{"role": "student", "content": "okay", "session_id": 16573, "sequence_id": 555, "annotations": []}
{"role": "volunteer", "content": "and it would be the same except the decimal value", "session_id": 16573, "sequence_id": 556, "annotations": []}
{"role": "volunteer", "content": "of -20/3", "session_id": 16573, "sequence_id": 557, "annotations": []}
{"role": "volunteer", "content": "if they ask for decimal specifically", "session_id": 16573, "sequence_id": 558, "annotations": []}
{"role": "volunteer", "content": "but yeah either should be ok", "session_id": 16573, "sequence_id": 559, "annotations": []}
{"role": "student", "content": "okay thank you", "session_id": 16573, "sequence_id": 560, "annotations": []}
{"role": "volunteer", "content": "any other problems?", "session_id": 16573, "sequence_id": 561, "annotations": []}
{"role": "student", "content": "no thank you though", "session_id": 16573, "sequence_id": 562, "annotations": []}
{"role": "volunteer", "content": "ok! Thank you!", "session_id": 16573, "sequence_id": 563, "annotations": []}
{"role": "volunteer", "content": "Have a good one!", "session_id": 16573, "sequence_id": 564, "annotations": []}
{"role": "student", "content": "thank you too", "session_id": 16573, "sequence_id": 565, "annotations": []}
{"role": "student", "content": "you too", "session_id": 16573, "sequence_id": 566, "annotations": []}
{"role": "student", "content": "bye", "session_id": 16573, "sequence_id": 567, "annotations": []}
{"role": "student", "content": "how should i type the last one correctly", "session_id": 13124, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "sorry actually this one", "session_id": 13124, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "ah sorry im having connection problems", "session_id": 13124, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "no worries", "session_id": 13124, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "im a bit confused on where you are getting the 6^1/b from, could i see how you solved it?", "session_id": 13124, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "no im just undure how to plug it into the system", "session_id": 13124, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "unsure", "session_id": 13124, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "should just be 6", "session_id": 13124, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "ive never used this program before, so im not sure, but i think its just sqrt(e^8+9),-sqrt(e^8+9),", "session_id": 13124, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "let me try that", "session_id": 13124, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "oh wait sorry, its not a square root its a 6th root", "session_id": 13124, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "yes", "session_id": 13124, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "is there a way to type in different roots", "session_id": 13124, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "there is but it comes out as a fraction", "session_id": 13124, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "oh i see", "session_id": 13124, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "maybe try (e^8+9)^1/6", "session_id": 13124, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "and the negative form", "session_id": 13124, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "nada", "session_id": 13124, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "do it without the sqrt", "session_id": 13124, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "like just (e^8+9)^1/6", "session_id": 13124, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "if that doesn't work, i'm not sure how else :( maybe you'll have to contact your teacher", "session_id": 13124, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "nice it worked", "session_id": 13124, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "yay !!", "session_id": 13124, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "i just need help on this one other one", "session_id": 13124, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "if you can just me through the steps please", "session_id": 13124, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "walk", "session_id": 13124, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "hello?", "session_id": 13124, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "since exponential functions are written as y = ab^x, a is just the y-intercept, so a = 14.4\n\nto find b, we can use the slope between the natural log of the two endpoints, so ln(14.4) = 2.67 and ln(2131.7168) = 7.66\n\n(7.66 - 2.67) / (6 - 0) = 0.8317\n\nso we can write the equation as y = 14.4e^0.8317x", "session_id": 13124, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "Hey Maya!", "session_id": 13168, "sequence_id": 0, "annotations": [{"pii_type": "PERSON", "surrogate": "Maya", "start": 4, "end": 8}]}
{"role": "volunteer", "content": "you have a beautiful name!", "session_id": 13168, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "how are you today?", "session_id": 13168, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "Hello, thank you so much!", "session_id": 13168, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "I\u2019m alright how are you?", "session_id": 13168, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "I'm good!", "session_id": 13168, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "how can I help you today?", "session_id": 13168, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "Could you please check my answers for this question?", "session_id": 13168, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "sure gimme 2 min", "session_id": 13168, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "hmm for the first one, I got negative 8 over eleven", "session_id": 13168, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "because the -7 is subtracted with 1", "session_id": 13168, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "Yeah I suspected it would be, but I didn\u2019t know if I should have changed it or now", "session_id": 13168, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "*not", "session_id": 13168, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 13168, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "so you were on the right path!", "session_id": 13168, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "great job!", "session_id": 13168, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "Thank you!", "session_id": 13168, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "And for the second one?", "session_id": 13168, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "and second one is correct!!", "session_id": 13168, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "amazing job!", "session_id": 13168, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "Thank you again!", "session_id": 13168, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "Have a lovely day :D", "session_id": 13168, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "you're welcome!", "session_id": 13168, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "you too! thank you!", "session_id": 13168, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "Hi", "session_id": 13409, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "Hey Alex!", "session_id": 13409, "sequence_id": 1, "annotations": [{"pii_type": "PERSON", "surrogate": "Alex", "start": 4, "end": 8}]}
{"role": "volunteer", "content": "How are you today?", "session_id": 13409, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "I need help with an assignment", "session_id": 13409, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "good thank you", "session_id": 13409, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "ok I can help!", "session_id": 13409, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "can we also hurry this up a bit pls?", "session_id": 13409, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "whiich one are we looking at?", "session_id": 13409, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "got it", "session_id": 13409, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "the f(-1/6x) -4 and I have to state what occurred with the transformation/", "session_id": 13409, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "?", "session_id": 13409, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "hmm hold on; you're missing some info on the top half", "session_id": 13409, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "for example...", "session_id": 13409, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "look at what I'm writing on the board", "session_id": 13409, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "ok", "session_id": 13409, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "which question is the \"reflection over x axis\" answer for?", "session_id": 13409, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "the bottom middle", "session_id": 13409, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "oh the one with the -3?", "session_id": 13409, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "yup", "session_id": 13409, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "ok back to the f(-1/6x) -4 problem pls?", "session_id": 13409, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 13409, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "ok so basically anything that happens inside the parenthesis is like the reciprocal", "session_id": 13409, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "so if it says f(2x) your dilating by a factor of 1/2", "session_id": 13409, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "so 6/1?", "session_id": 13409, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "yeah so do you think its a horizontal stretch or compression??", "session_id": 13409, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "not sure is it a stretch?", "session_id": 13409, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "-->it gave us 1/6 \n-->we have to multiply x with the reciprocal\n-->so 6", "session_id": 13409, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "so if you multiplies x with 6, would your answer be bigger or smaller", "session_id": 13409, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "bigger?", "session_id": 13409, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "yup", "session_id": 13409, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "so it would be a horizontal s_____?", "session_id": 13409, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "stretch", "session_id": 13409, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "yup!!", "session_id": 13409, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "great job!", "session_id": 13409, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "so what do I say?", "session_id": 13409, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "ok let's go left to write", "session_id": 13409, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "the negative would be a reflection over the y axis", "session_id": 13409, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "because it's inside the parenthesis and acting upon the x values", "session_id": 13409, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "then the 1/6 would mean a horizontal stretch by a factor of 6", "session_id": 13409, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "and you got the last one!", "session_id": 13409, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "so wait what do I say?", "session_id": 13409, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "for the -1/6 dilation part?", "session_id": 13409, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "hmm, you try... what do you think?\n\nhorizontal  _ _ _ _ _ _ _  by a factor of __", "session_id": 13409, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "stretch by 1/2?", "session_id": 13409, "sequence_id": 43, "annotations": []}
{"role": "student", "content": "hello?", "session_id": 13409, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "hey I'm back sorry", "session_id": 13409, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "is it stretch by 1/2?", "session_id": 13409, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "not quite... what is the reciprocal of 1/6", "session_id": 13409, "sequence_id": 47, "annotations": []}
{"role": "student", "content": "oh 6/1", "session_id": 13409, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "yeah so its a horizontal stretch by a factor of 6", "session_id": 13409, "sequence_id": 49, "annotations": []}
{"role": "student", "content": "ok", "session_id": 13409, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "ok now lets go down", "session_id": 13409, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "ok for the f( - 4x + 10) question", "session_id": 13409, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 13409, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "the negative sign represents a \nr _ f _ _ _ _ _ _ _ over which axis?", "session_id": 13409, "sequence_id": 54, "annotations": []}
{"role": "student", "content": "now how do I answer this one?", "session_id": 13409, "sequence_id": 55, "annotations": []}
{"role": "student", "content": "reflection over y axis?", "session_id": 13409, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "yup!", "session_id": 13409, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "and the 4 inside the parenthesis represents what...?", "session_id": 13409, "sequence_id": 58, "annotations": []}
{"role": "student", "content": "shoot no idea", "session_id": 13409, "sequence_id": 59, "annotations": []}
{"role": "student", "content": "I kinda forgot", "session_id": 13409, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "ok hold on scroll down and I'm gonna write down a quick thing you can refer to", "session_id": 13409, "sequence_id": 61, "annotations": []}
{"role": "student", "content": "ok", "session_id": 13409, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "can you see it?", "session_id": 13409, "sequence_id": 63, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 13409, "sequence_id": 64, "annotations": []}
{"role": "student", "content": "so the 4 represents the horizontal?", "session_id": 13409, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "yes!", "session_id": 13409, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "is it a dilation or translation?", "session_id": 13409, "sequence_id": 67, "annotations": []}
{"role": "student", "content": "translation?", "session_id": 13409, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "no; if it was a translation it would be adding or subtracting", "session_id": 13409, "sequence_id": 69, "annotations": []}
{"role": "student", "content": "dilation?", "session_id": 13409, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "yess", "session_id": 13409, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "scroll down again", "session_id": 13409, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "does that make more sense?", "session_id": 13409, "sequence_id": 73, "annotations": []}
{"role": "student", "content": "yes I see it", "session_id": 13409, "sequence_id": 74, "annotations": []}
{"role": "volunteer", "content": "I hope it helps", "session_id": 13409, "sequence_id": 75, "annotations": []}
{"role": "student", "content": "so now what do I say?", "session_id": 13409, "sequence_id": 76, "annotations": []}
{"role": "student", "content": "reflects over y axis then what?", "session_id": 13409, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "let me give you a hint\nthere are 3 transformations happening \n\nI will underline them for you\n\nI want you to use the formula I wrote down below to help you identify which transformation happened", "session_id": 13409, "sequence_id": 78, "annotations": []}
{"role": "student", "content": "so it dilates by negative 4 ok then i have to figure out the last one", "session_id": 13409, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "hmm not quite", "session_id": 13409, "sequence_id": 80, "annotations": []}
{"role": "volunteer", "content": "ok i'll help you with this one", "session_id": 13409, "sequence_id": 81, "annotations": []}
{"role": "volunteer", "content": "Here are the three transformations\n\n1. reflection across the y-axis\n2. horizontal compression by a factor of 1/4 (RECIPROCAL)\n3. translates 10 to the LEFT", "session_id": 13409, "sequence_id": 82, "annotations": []}
{"role": "volunteer", "content": "does that make sense?", "session_id": 13409, "sequence_id": 83, "annotations": []}
{"role": "student", "content": "ok yes", "session_id": 13409, "sequence_id": 84, "annotations": []}
{"role": "volunteer", "content": "or would you like me to explain how I came up with that?", "session_id": 13409, "sequence_id": 85, "annotations": []}
{"role": "student", "content": "no I think im okay", "session_id": 13409, "sequence_id": 86, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 13409, "sequence_id": 87, "annotations": []}
{"role": "student", "content": "ok now moving on to the bottom and can we also move a little faster pls?", "session_id": 13409, "sequence_id": 88, "annotations": []}
{"role": "volunteer", "content": "ok, but I'm not allowed to directly give the answers to you", "session_id": 13409, "sequence_id": 89, "annotations": []}
{"role": "student", "content": "ok", "session_id": 13409, "sequence_id": 90, "annotations": []}
{"role": "volunteer", "content": "ok lets fix the first one, there's a minor mistake", "session_id": 13409, "sequence_id": 91, "annotations": []}
{"role": "volunteer", "content": "why do you think what I boxed is wrong?", "session_id": 13409, "sequence_id": 92, "annotations": []}
{"role": "student", "content": "not sure", "session_id": 13409, "sequence_id": 93, "annotations": []}
{"role": "volunteer", "content": "is it inside or outside the parenthesis?", "session_id": 13409, "sequence_id": 94, "annotations": []}
{"role": "student", "content": "inside", "session_id": 13409, "sequence_id": 95, "annotations": []}
{"role": "volunteer", "content": "yes!", "session_id": 13409, "sequence_id": 96, "annotations": []}
{"role": "volunteer", "content": "is it being multiplied with or added to x?", "session_id": 13409, "sequence_id": 97, "annotations": []}
{"role": "student", "content": "multiplied", "session_id": 13409, "sequence_id": 98, "annotations": []}
{"role": "volunteer", "content": "yes!", "session_id": 13409, "sequence_id": 99, "annotations": []}
{"role": "volunteer", "content": "so is it a dilation or translation?", "session_id": 13409, "sequence_id": 100, "annotations": []}
{"role": "student", "content": "dilation?", "session_id": 13409, "sequence_id": 101, "annotations": []}
{"role": "volunteer", "content": "yes it is!", "session_id": 13409, "sequence_id": 102, "annotations": []}
{"role": "volunteer", "content": "vertical or horizontal?", "session_id": 13409, "sequence_id": 103, "annotations": []}
{"role": "student", "content": "horizontal?", "session_id": 13409, "sequence_id": 104, "annotations": []}
{"role": "volunteer", "content": "yes!", "session_id": 13409, "sequence_id": 105, "annotations": []}
{"role": "volunteer", "content": "so every time you see a horizontal dilation thinks RECIPROCAL", "session_id": 13409, "sequence_id": 106, "annotations": []}
{"role": "volunteer", "content": "what is the reciprocal of 3/4", "session_id": 13409, "sequence_id": 107, "annotations": []}
{"role": "student", "content": "4/3", "session_id": 13409, "sequence_id": 108, "annotations": []}
{"role": "volunteer", "content": "yeah!!", "session_id": 13409, "sequence_id": 109, "annotations": []}
{"role": "volunteer", "content": "so instead of f(-3/4x)+9, it would be...", "session_id": 13409, "sequence_id": 110, "annotations": []}
{"role": "student", "content": "f(4/3x) + 9?", "session_id": 13409, "sequence_id": 111, "annotations": []}
{"role": "volunteer", "content": "don''t forget the negative sign because there's still a reflection over the y acis", "session_id": 13409, "sequence_id": 112, "annotations": []}
{"role": "volunteer", "content": "axis", "session_id": 13409, "sequence_id": 113, "annotations": []}
{"role": "student", "content": "ok", "session_id": 13409, "sequence_id": 114, "annotations": []}
{"role": "student", "content": "ok next one pls can we speed it up?", "session_id": 13409, "sequence_id": 115, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 13409, "sequence_id": 116, "annotations": []}
{"role": "volunteer", "content": "let me do the 2nd one, and tell me if you understand; then try the 3rd and 4th one", "session_id": 13409, "sequence_id": 117, "annotations": []}
{"role": "student", "content": "ok", "session_id": 13409, "sequence_id": 118, "annotations": []}
{"role": "volunteer", "content": "there!", "session_id": 13409, "sequence_id": 119, "annotations": []}
{"role": "volunteer", "content": "can you break it down, and explain WHY I wrote each thing that a wrote", "session_id": 13409, "sequence_id": 120, "annotations": []}
{"role": "student", "content": "the negative is the reflection the 1/3 is the compression by the factor, and the  8 us the translation", "session_id": 13409, "sequence_id": 121, "annotations": []}
{"role": "student", "content": "hello?", "session_id": 13409, "sequence_id": 122, "annotations": []}
{"role": "volunteer", "content": "hey", "session_id": 13409, "sequence_id": 123, "annotations": []}
{"role": "volunteer", "content": "ok so it said vertical compression by a factor of 3 \nwhy did I write 1/3 instead of 3?", "session_id": 13409, "sequence_id": 124, "annotations": []}
{"role": "student", "content": "because of the reciprocal", "session_id": 13409, "sequence_id": 125, "annotations": []}
{"role": "volunteer", "content": "no the reciprocal is only for horizontal dilations", "session_id": 13409, "sequence_id": 126, "annotations": []}
{"role": "volunteer", "content": "i put down 1/3 because it says vert. COMPRESSION, so it needs to get SMALLER; which means it made it 3 times smaller, meaning we need to multiply with 1/3", "session_id": 13409, "sequence_id": 127, "annotations": []}
{"role": "student", "content": "oh ok", "session_id": 13409, "sequence_id": 128, "annotations": []}
{"role": "volunteer", "content": "ok try the other two", "session_id": 13409, "sequence_id": 129, "annotations": []}
{"role": "volunteer", "content": "and paste a picture of it on the board", "session_id": 13409, "sequence_id": 130, "annotations": []}
{"role": "student", "content": "ok I think I got the 3rd one", "session_id": 13409, "sequence_id": 131, "annotations": []}
{"role": "student", "content": "the answer is -2f(x + 10)?", "session_id": 13409, "sequence_id": 132, "annotations": []}
{"role": "volunteer", "content": "yes awesome!!", "session_id": 13409, "sequence_id": 133, "annotations": []}
{"role": "volunteer", "content": "how about the last one?", "session_id": 13409, "sequence_id": 134, "annotations": []}
{"role": "student", "content": "then is the final one -f(-x - 5) + 1?", "session_id": 13409, "sequence_id": 135, "annotations": []}
{"role": "student", "content": "hello?", "session_id": 13409, "sequence_id": 136, "annotations": []}
{"role": "student", "content": "is this correct because I gotta go now?", "session_id": 13409, "sequence_id": 137, "annotations": []}
{"role": "volunteer", "content": "almost there!", "session_id": 13409, "sequence_id": 138, "annotations": []}
{"role": "volunteer", "content": "how would you show a translation 5 to the left", "session_id": 13409, "sequence_id": 139, "annotations": []}
{"role": "student", "content": "5?", "session_id": 13409, "sequence_id": 140, "annotations": []}
{"role": "student", "content": "is it correct?", "session_id": 13409, "sequence_id": 141, "annotations": []}
{"role": "student", "content": "hello?", "session_id": 13409, "sequence_id": 142, "annotations": []}
{"role": "student", "content": "hello?", "session_id": 13409, "sequence_id": 143, "annotations": []}
{"role": "volunteer", "content": "hey", "session_id": 13409, "sequence_id": 144, "annotations": []}
{"role": "volunteer", "content": "yes 5 but would you ADD or SUBTRACT?", "session_id": 13409, "sequence_id": 145, "annotations": []}
{"role": "student", "content": "add", "session_id": 13409, "sequence_id": 146, "annotations": []}
{"role": "volunteer", "content": "yeah!!", "session_id": 13409, "sequence_id": 147, "annotations": []}
{"role": "volunteer", "content": "that's it!", "session_id": 13409, "sequence_id": 148, "annotations": []}
{"role": "student", "content": "ok bye", "session_id": 13409, "sequence_id": 149, "annotations": []}
{"role": "volunteer", "content": "great job!!", "session_id": 13409, "sequence_id": 150, "annotations": []}
{"role": "volunteer", "content": "Hi Alex", "session_id": 13746, "sequence_id": 0, "annotations": [{"pii_type": "PERSON", "surrogate": "Alex", "start": 3, "end": 7}]}
{"role": "student", "content": "hi Ben", "session_id": 13746, "sequence_id": 1, "annotations": [{"pii_type": "PERSON", "surrogate": "Ben", "start": 3, "end": 6}]}
{"role": "volunteer", "content": "I see the problem on the board. Did you learn \"implicit differentiation\" ?", "session_id": 13746, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "no can you show me", "session_id": 13746, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "It's one way of solving the problem.", "session_id": 13746, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "Normally, you're asked to differentiate a function like y = f(x). But in this problem, the \"y\" is buried inside the equation, correct?", "session_id": 13746, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "yes", "session_id": 13746, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "When using implicit differentiation, we differentiate both sides of the equation with respect to \"x\". And we treat \"y\" as a function of x. Can you do it?", "session_id": 13746, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "yes", "session_id": 13746, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "You started well, but you're not quite there yet. I can show you if you wish.", "session_id": 13746, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "yes please", "session_id": 13746, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "On the right-hand side, \"25\" is a constant. So it's derivative is zero.", "session_id": 13746, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "Here's the key. \"y\" is a function of \"x\". So we differentiate y^2 using the chain rule.", "session_id": 13746, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "OK so far?", "session_id": 13746, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "yes", "session_id": 13746, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "Can you solve the last equation for dy/dx = ?", "session_id": 13746, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "yes, 2=2ydy/dx", "session_id": 13746, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "Not exactly. The goal is to get \"dy/dx\" alone on one side of the equation. The next step is to subtract 2x from both sides.", "session_id": 13746, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "2x/2y=dy/dx", "session_id": 13746, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "Yes, except you forgot the negative sign.", "session_id": 13746, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "Also, the \"2\" cancels out.", "session_id": 13746, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "ok I have more questions", "session_id": 13746, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "OK.", "session_id": 13746, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "should I write them on the board", "session_id": 13746, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "Yes.", "session_id": 13746, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "Same idea. You differentiate both sides. And because \"y\" is a function of x, you may need the chain rule.", "session_id": 13746, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "Can you try?", "session_id": 13746, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "yes", "session_id": 13746, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "Did you learn the \"product rule\" ?", "session_id": 13746, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "no can you show me", "session_id": 13746, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "Let's say you have two functions of \"x\" that are multiplied: u(x)*v(x).", "session_id": 13746, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "Then you calculate the derivative of the product as I'll show.", "session_id": 13746, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "I'll show you how to apply the \"product rule\" to your problem.", "session_id": 13746, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "In this problem, the product is (3x)*y.", "session_id": 13746, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "OK so far?", "session_id": 13746, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "yes", "session_id": 13746, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "Can you complete the problem? Remember that the derivative of y^2 will be 2*y*dy/dx.", "session_id": 13746, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "You're on the right track.", "session_id": 13746, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "If we want dy/dx alone on one side, what can we do?", "session_id": 13746, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "Careful when you combine \"like\" or \"similar\" terms.", "session_id": 13746, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "We have 3xdy/dx and 2ydy/dx, and not 3ydy/dx and 2ydy/dx.", "session_id": 13746, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "Notice the \"x\" in red color.", "session_id": 13746, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "I'm stuck", "session_id": 13746, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "I'll show you the next step. But I'll need to erase the last two lines you wrote, OK?", "session_id": 13746, "sequence_id": 43, "annotations": []}
{"role": "student", "content": "ok", "session_id": 13746, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "OK so far? I grouped the two terms with dy/dx.", "session_id": 13746, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "yes", "session_id": 13746, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "Can you continue?", "session_id": 13746, "sequence_id": 47, "annotations": []}
{"role": "student", "content": "yes", "session_id": 13746, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "Awesome! You got it.", "session_id": 13746, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "That completes the solution, and it's all the time I have. Any quick question before I go?", "session_id": 13746, "sequence_id": 50, "annotations": []}
{"role": "student", "content": "no, thank you Ben", "session_id": 13746, "sequence_id": 51, "annotations": [{"pii_type": "PERSON", "surrogate": "Ben", "start": 14, "end": 17}]}
{"role": "volunteer", "content": "You're welcome. Have a great evening.", "session_id": 13746, "sequence_id": 52, "annotations": []}
{"role": "student", "content": "with a math problem", "session_id": 13977, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "Hello!", "session_id": 13977, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "I will try my best to help you.", "session_id": 13977, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "Thank you for joining the amazing session!", "session_id": 13977, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "I am so excited to be able to work with you!", "session_id": 13977, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "of course. thank you for joining as well.", "session_id": 13977, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "OFC!", "session_id": 13977, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "Same with me :)", "session_id": 13977, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "do you have any questions about the platform or your assignments?", "session_id": 13977, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "yes", "session_id": 13977, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "is it the one on the board?", "session_id": 13977, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "yes", "session_id": 13977, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "is that the question?", "session_id": 13977, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "the one that I have written down", "session_id": 13977, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "Hello!", "session_id": 15454, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "Hello!", "session_id": 15454, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "I would like some help preping for an AP stats quiz I have tomorrow!", "session_id": 15454, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "Sure.\nWhat parts do you need help with?", "session_id": 15454, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "Im pretty sure its on unit 4", "session_id": 15454, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "4B and 4C or something like that", "session_id": 15454, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "independent events and conditional probability", "session_id": 15454, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "I uploaded some practice questions", "session_id": 15454, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "Got it.\nWhat have you tried so far?\nWhere are you stuck?", "session_id": 15454, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "I havent really tried anything yet, but probably conditional probability", "session_id": 15454, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "ill start with 13", "session_id": 15454, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "14*", "session_id": 15454, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "I got c for this", "session_id": 15454, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "Perfect!\nGood job.", "session_id": 15454, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "now 14", "session_id": 15454, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "So", "session_id": 15454, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "thinking about it", "session_id": 15454, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "shouldnt the probably of a and not b and not a and b multiplied equal too a and b", "session_id": 15454, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "?", "session_id": 15454, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "I don't see why that should be the case.\nNote that the question is concerned about the event A and B.\nHint: For each option, try finding P(A) and P(B) from the given information.", "session_id": 15454, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "I am kind of lost", "session_id": 15454, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "Consider option A.\nCan you find P(A) from the given information?\nHint: P(A) = P(A and B) + P(A and notB)", "session_id": 15454, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "ahhh", "session_id": 15454, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "Awesome.\nNow P(B)?", "session_id": 15454, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "just the opposite right", "session_id": 15454, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "What do you think now?", "session_id": 15454, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "well it seems like", "session_id": 15454, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "theyre not independent", "session_id": 15454, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "so id move on to the next one right", "session_id": 15454, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "Hang on.\nDon't you mean P(B) = 0.12 + 0.4 = 0.52 ?", "session_id": 15454, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "ohh yea woops", "session_id": 15454, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "sorry", "session_id": 15454, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "Then\nP(A) * P(B) = 0.42 * 0.52 = 0.2184 which does not equal P(A and B) = 0.12", "session_id": 15454, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "So option A is incorrect.\nSimilarly check the other options.", "session_id": 15454, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "its b?", "session_id": 15454, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "No.\nKeep going.", "session_id": 15454, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "seems like its c", "session_id": 15454, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "It is.\nJust to be safe check the rest of the options are incorrect.\nDoes that make sense?", "session_id": 15454, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "kinda im still trying to wrap my head around the way i got a and b", "session_id": 15454, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "but it kinda makes sense", "session_id": 15454, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "Cool.\n\nTakeaway 1:\nEvents A and B are in independent if and only if P(A) * P(B) = P(A and B)\n\nTakeaway 2:\nLaw of total probability\nP(A) = P(A and B) + P(A and notB)", "session_id": 15454, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "ahhh so thats a law", "session_id": 15454, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "alright", "session_id": 15454, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "i get it though", "session_id": 15454, "sequence_id": 43, "annotations": []}
{"role": "student", "content": "let me get more questions", "session_id": 15454, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "ahh i can use that law here!", "session_id": 15454, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "i got 0.4", "session_id": 15454, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "Correct.\nGood job.", "session_id": 15454, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "Hang on.\nI don't follow your work.\nIt would be nice if you can define the events first.\nAlso, note that this problem uses conditional probability.", "session_id": 15454, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "yea im not too used to it", "session_id": 15454, "sequence_id": 49, "annotations": []}
{"role": "student", "content": "im trying to figure it out myself first", "session_id": 15454, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "For example,\nlet A be the event that the alarm triggers,\nand let B be the event that the material is forbidden.\nNow what are the probabilities in terms of these events?", "session_id": 15454, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "you mean like that right", "session_id": 15454, "sequence_id": 52, "annotations": []}
{"role": "student", "content": "by defining events", "session_id": 15454, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "Not quite.\nThe way you have defined the events is unnecessarily involved.\nTry defining simpler events.\nHint: You don't need more than two simple events.", "session_id": 15454, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "I am assuming you mean \"A\" instead of \"P(A)\"\nand \"B\" instead of \"P(B)\"", "session_id": 15454, "sequence_id": 55, "annotations": []}
{"role": "student", "content": "like this?", "session_id": 15454, "sequence_id": 56, "annotations": []}
{"role": "student", "content": "oh yea sorry", "session_id": 15454, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "No problem.\nNow which event has probability 0.97?", "session_id": 15454, "sequence_id": 58, "annotations": []}
{"role": "student", "content": "that a bag containing forbidden material is actually detected", "session_id": 15454, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "So is it P(A|B) or P(B|A) or anything else?", "session_id": 15454, "sequence_id": 60, "annotations": []}
{"role": "student", "content": "what does that notation mean again", "session_id": 15454, "sequence_id": 61, "annotations": []}
{"role": "student", "content": "like a|b", "session_id": 15454, "sequence_id": 62, "annotations": []}
{"role": "student", "content": "or b|a", "session_id": 15454, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "That's the conditional notation.\nP(A|B) = P(A given B)\nFormula: P(A|B) = P(A and B)/P(B)", "session_id": 15454, "sequence_id": 64, "annotations": []}
{"role": "student", "content": "what exactly does that mean though", "session_id": 15454, "sequence_id": 65, "annotations": []}
{"role": "student", "content": "like the probability of a given b", "session_id": 15454, "sequence_id": 66, "annotations": []}
{"role": "student", "content": "or vise versa", "session_id": 15454, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "P(A|B) is the probability of event A given that event B has already occurred.", "session_id": 15454, "sequence_id": 68, "annotations": []}
{"role": "student", "content": "ahhhhh", "session_id": 15454, "sequence_id": 69, "annotations": []}
{"role": "student", "content": "alright i get it", "session_id": 15454, "sequence_id": 70, "annotations": []}
{"role": "student", "content": "so it would probably be B|A", "session_id": 15454, "sequence_id": 71, "annotations": []}
{"role": "student", "content": "since were asking when the alarm trips", "session_id": 15454, "sequence_id": 72, "annotations": []}
{"role": "student", "content": "is it forbidden", "session_id": 15454, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "Try again.\n0.97 is the prob of the alarm GIVEN that the material is forbidden.\nSo P(B|A) or P(A|B) ?", "session_id": 15454, "sequence_id": 74, "annotations": []}
{"role": "student", "content": "ohh right", "session_id": 15454, "sequence_id": 75, "annotations": []}
{"role": "student", "content": "so it needs to be forbidden first", "session_id": 15454, "sequence_id": 76, "annotations": []}
{"role": "student", "content": "so P(A|B)", "session_id": 15454, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "You got it.\nSo P(A|B) = 0.97\nNow what is 0.15 ?", "session_id": 15454, "sequence_id": 78, "annotations": []}
{"role": "student", "content": "the percent that the alarm goes off even though there isnt forbidden material", "session_id": 15454, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "What symbol represents \"not forbidden material\" ?", "session_id": 15454, "sequence_id": 80, "annotations": []}
{"role": "student", "content": "would it be", "session_id": 15454, "sequence_id": 81, "annotations": []}
{"role": "student", "content": "that", "session_id": 15454, "sequence_id": 82, "annotations": []}
{"role": "volunteer", "content": "Yes.\nSo can you write it as P(___) = 0.15 ?", "session_id": 15454, "sequence_id": 83, "annotations": []}
{"role": "volunteer", "content": "Not quite.\nRemember, it is a conditional probability.", "session_id": 15454, "sequence_id": 84, "annotations": []}
{"role": "student", "content": "like that?", "session_id": 15454, "sequence_id": 85, "annotations": []}
{"role": "student", "content": "nice", "session_id": 15454, "sequence_id": 86, "annotations": []}
{"role": "volunteer", "content": "Now what is 1/1000 ?", "session_id": 15454, "sequence_id": 87, "annotations": []}
{"role": "student", "content": "0.001", "session_id": 15454, "sequence_id": 88, "annotations": []}
{"role": "volunteer", "content": "Sure.\nBut what is it the probability of?", "session_id": 15454, "sequence_id": 89, "annotations": []}
{"role": "student", "content": "ohh the probability of the material coming through being forbidden", "session_id": 15454, "sequence_id": 90, "annotations": []}
{"role": "volunteer", "content": "So P(___) = 0.001", "session_id": 15454, "sequence_id": 91, "annotations": []}
{"role": "volunteer", "content": "This is all the info from the problem statement.\nNow let's use the formula P(A|B) = P(A and B)/P(B) to figure out the rest of the info.", "session_id": 15454, "sequence_id": 92, "annotations": []}
{"role": "student", "content": "ohh woops", "session_id": 15454, "sequence_id": 93, "annotations": []}
{"role": "student", "content": "like that?", "session_id": 15454, "sequence_id": 94, "annotations": []}
{"role": "volunteer", "content": "Oops.\nCheck again.\nHint: Cross multiply", "session_id": 15454, "sequence_id": 95, "annotations": []}
{"role": "student", "content": "like that", "session_id": 15454, "sequence_id": 96, "annotations": []}
{"role": "volunteer", "content": "Yes.", "session_id": 15454, "sequence_id": 97, "annotations": []}
{"role": "volunteer", "content": "Good.\nNow substitute P(A|B) and P(B) and find P(A and B) = _____", "session_id": 15454, "sequence_id": 98, "annotations": []}
{"role": "student", "content": "ohhh", "session_id": 15454, "sequence_id": 99, "annotations": []}
{"role": "student", "content": "I need a for this right?", "session_id": 15454, "sequence_id": 100, "annotations": []}
{"role": "student", "content": "ohhhh", "session_id": 15454, "sequence_id": 101, "annotations": []}
{"role": "student", "content": "i just got 0.15 again", "session_id": 15454, "sequence_id": 102, "annotations": []}
{"role": "volunteer", "content": "Now P(A) = ____\nHint: Law of total prob", "session_id": 15454, "sequence_id": 103, "annotations": []}
{"role": "volunteer", "content": "Now what is the question asking for?", "session_id": 15454, "sequence_id": 104, "annotations": []}
{"role": "student", "content": "the probability of the bag triggering the alarm and it actually having forbidden material", "session_id": 15454, "sequence_id": 105, "annotations": []}
{"role": "volunteer", "content": "Careful.\nIt is not AND.\nIt is GIVEN that it triggers.\nWe are interested when it is forbidden.\nSo P(B|A)\nRight?", "session_id": 15454, "sequence_id": 106, "annotations": []}
{"role": "student", "content": "ohh right", "session_id": 15454, "sequence_id": 107, "annotations": []}
{"role": "student", "content": "yea makes sense", "session_id": 15454, "sequence_id": 108, "annotations": []}
{"role": "volunteer", "content": "So\nP(B|A) = P(B and A)/P(A)\n         = __________", "session_id": 15454, "sequence_id": 109, "annotations": []}
{"role": "volunteer", "content": "Hang on.", "session_id": 15454, "sequence_id": 110, "annotations": []}
{"role": "volunteer", "content": "What is P(B and A)?\nHint: P(B and A) = P(A and B)", "session_id": 15454, "sequence_id": 111, "annotations": []}
{"role": "student", "content": "oh woops", "session_id": 15454, "sequence_id": 112, "annotations": []}
{"role": "student", "content": "we already have it right", "session_id": 15454, "sequence_id": 113, "annotations": []}
{"role": "student", "content": "B", "session_id": 15454, "sequence_id": 114, "annotations": []}
{"role": "student", "content": "wow", "session_id": 15454, "sequence_id": 115, "annotations": []}
{"role": "volunteer", "content": "How do you feel about it now?", "session_id": 15454, "sequence_id": 116, "annotations": []}
{"role": "student", "content": "that was so much work", "session_id": 15454, "sequence_id": 117, "annotations": []}
{"role": "volunteer", "content": "I agree.\nHopefully you will get used to it soon.", "session_id": 15454, "sequence_id": 118, "annotations": []}
{"role": "student", "content": "Yea, its definitly very confusing", "session_id": 15454, "sequence_id": 119, "annotations": []}
{"role": "student", "content": "its the second week of school but my ap stats teacher sent us right into unit 4", "session_id": 15454, "sequence_id": 120, "annotations": []}
{"role": "student", "content": "so im trying my best to wrap my head around these new words and equations and ideas", "session_id": 15454, "sequence_id": 121, "annotations": []}
{"role": "volunteer", "content": "Keep it up!\n\nTakeaway 1:\nEvents A and B are in independent if and only if P(A) * P(B) = P(A and B)\n\nTakeaway 2:\nLaw of total probability\nP(A) = P(A and B) + P(A and notB)\n\nTakeaway 3:\nDefine and identify events carefully.", "session_id": 15454, "sequence_id": 122, "annotations": []}
{"role": "student", "content": "right!", "session_id": 15454, "sequence_id": 123, "annotations": []}
{"role": "volunteer", "content": "Do you want to try the last problem?", "session_id": 15454, "sequence_id": 124, "annotations": []}
{"role": "student", "content": "let me see if I can find a different one", "session_id": 15454, "sequence_id": 125, "annotations": []}
{"role": "volunteer", "content": "Are you interested in learning a faster way to do such problems?", "session_id": 15454, "sequence_id": 126, "annotations": []}
{"role": "student", "content": "sure!", "session_id": 15454, "sequence_id": 127, "annotations": []}
{"role": "volunteer", "content": "It's usually known as the Table method.", "session_id": 15454, "sequence_id": 128, "annotations": []}
{"role": "volunteer", "content": "We create a table based on the given events.\nFor example,\nevent A = person has HIV\nevent B = person is aware\nThen we fill the table with the actual probabilities.", "session_id": 15454, "sequence_id": 129, "annotations": []}
{"role": "student", "content": "yea this is a two way table is it not", "session_id": 15454, "sequence_id": 130, "annotations": []}
{"role": "volunteer", "content": "Yes.", "session_id": 15454, "sequence_id": 131, "annotations": []}
{"role": "volunteer", "content": "Where in the table would you put 0.38% ?", "session_id": 15454, "sequence_id": 132, "annotations": []}
{"role": "student", "content": "ohh woops", "session_id": 15454, "sequence_id": 133, "annotations": []}
{"role": "volunteer", "content": "Hang on.\nLet me think.", "session_id": 15454, "sequence_id": 134, "annotations": []}
{"role": "volunteer", "content": "Is that the complete question?", "session_id": 15454, "sequence_id": 135, "annotations": []}
{"role": "student", "content": "yes", "session_id": 15454, "sequence_id": 136, "annotations": []}
{"role": "volunteer", "content": "That's strange.\nI don't see how we can fill the rest of the table with the given information.\nAny thoughts?", "session_id": 15454, "sequence_id": 137, "annotations": []}
{"role": "student", "content": "well maybe we cant use the table for this question", "session_id": 15454, "sequence_id": 138, "annotations": []}
{"role": "student", "content": "i dont really know honestly", "session_id": 15454, "sequence_id": 139, "annotations": []}
{"role": "volunteer", "content": "Hang on.\nI think I got it.", "session_id": 15454, "sequence_id": 140, "annotations": []}
{"role": "volunteer", "content": "Shouldn't ALL people who do not have HIV be already aware that they do not have HIV?\nSo the second column should be 0.9962 and 0\nWhat do you think?", "session_id": 15454, "sequence_id": 141, "annotations": []}
{"role": "student", "content": "hmmm", "session_id": 15454, "sequence_id": 142, "annotations": []}
{"role": "student", "content": "yea that makes sense to me", "session_id": 15454, "sequence_id": 143, "annotations": []}
{"role": "student", "content": "so would it be", "session_id": 15454, "sequence_id": 144, "annotations": []}
{"role": "student", "content": "P(A and B)", "session_id": 15454, "sequence_id": 145, "annotations": []}
{"role": "student", "content": "or wait no", "session_id": 15454, "sequence_id": 146, "annotations": []}
{"role": "volunteer", "content": "Hang on.\nI am not convinced.\nSorry.\nI don't want to take up too much of your time with this for now.", "session_id": 15454, "sequence_id": 147, "annotations": []}
{"role": "student", "content": "its all good!", "session_id": 15454, "sequence_id": 148, "annotations": []}
{"role": "student", "content": "I think im just gonna get some sleep", "session_id": 15454, "sequence_id": 149, "annotations": []}
{"role": "student", "content": "and try studying before the class tomorrow", "session_id": 15454, "sequence_id": 150, "annotations": []}
{"role": "student", "content": "thanks for all the help though!", "session_id": 15454, "sequence_id": 151, "annotations": []}
{"role": "volunteer", "content": "Good luck.", "session_id": 15454, "sequence_id": 152, "annotations": []}
{"role": "volunteer", "content": "hi! what do you need help with?", "session_id": 17898, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "Hello", "session_id": 17898, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "Um, I need help on comparing real numbers.", "session_id": 17898, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "Hi", "session_id": 17898, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "Hi, can you hear me", "session_id": 17898, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "Yes, I can hear you", "session_id": 17898, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "OK, so do you just want an overview on the topic, and do you want to do some example problems?", "session_id": 17898, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "Um, I have some questions for homework.", "session_id": 17898, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "cause", "session_id": 17898, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "Yeah, so you can tell me the question and we can work through it.", "session_id": 17898, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "OK, I'll write it down real quick.", "session_id": 17898, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "So I'm doing it like 12 equal 2 or less.", "session_id": 17898, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "So you have to find out which one of these is greater than the other?", "session_id": 17898, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "Yeah, so like greater than less than equal to.", "session_id": 17898, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 17898, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "Um, OK, so we can start", "session_id": 17898, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "um", "session_id": 17898, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "OK", "session_id": 17898, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "for, OK, so we can split it up into two parts. So first we can solve this top question. So, do you, do you know what the um absolute value sign means.", "session_id": 17898, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "Uh", "session_id": 17898, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "I don't remember", "session_id": 17898, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "OK. Um, then I can just quickly review it. So", "session_id": 17898, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "you know the number line, right? So this would be 0 and then we get -1.", "session_id": 17898, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "oh, not -1, 12 on this side and then on the other side we have -1 and -2, right? This is the number line.", "session_id": 17898, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "Yup", "session_id": 17898, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "Yeah. So, this absolute value sign is basically saying you have to find the distance from 0 to that number on the number line. So, for example, if we have absolute value of -2.", "session_id": 17898, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "We have to find the point-2 on the number line. So that's right here.", "session_id": 17898, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "And then we have 0 here. So, how many numbers are between 2 and 0.", "session_id": 17898, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "Uh, one", "session_id": 17898, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "Um, yeah, but it's asking how far is it? So we have this little space and this little space, right? So", "session_id": 17898, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "So 2", "session_id": 17898, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "how many is that? Yeah, 2, exactly. So the absolute value of -2 equals 2. So if we have a negative 4.5.", "session_id": 17898, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "So", "session_id": 17898, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "and the absolute value of that, what would that be?", "session_id": 17898, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "4.5", "session_id": 17898, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "Yes, exactly.", "session_id": 17898, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "And then now we want to multiply this by 2. Do you know how to do that, or?", "session_id": 17898, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "Yes, let me do it real quick.", "session_id": 17898, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "Yeah, great job. So that would be 9.", "session_id": 17898, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 17898, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "Now, OK, so now we've solved the first half, so this first half is equal to 9. Now, let's solve the second half. So we have the cube root of 100. Do you know what that means?", "session_id": 17898, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "Uh, no, I do not.", "session_id": 17898, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "OK, so the cube root of 100 basically it means that they're as one number that if you multiply it by itself 3 times, it equals 100. So for example, let's take 22 times.", "session_id": 17898, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "2 equals 1?", "session_id": 17898, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "So", "session_id": 17898, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "4", "session_id": 17898, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "Yeah, 4. And then 4 times 2 again, equals what?", "session_id": 17898, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "8", "session_id": 17898, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "8. Perfect. So, 2 to the 3 equals 8. Does that make sense?", "session_id": 17898, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "Oh, cause you're doing 2 like 2 times 2 x 2 x 2.", "session_id": 17898, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "Yeah, exactly", "session_id": 17898, "sequence_id": 50, "annotations": []}
{"role": "student", "content": "OK", "session_id": 17898, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "So 2/3 equals 8. So that means the cube root", "session_id": 17898, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "of 8", "session_id": 17898, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "is equal to", "session_id": 17898, "sequence_id": 54, "annotations": []}
{"role": "student", "content": "2", "session_id": 17898, "sequence_id": 55, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 17898, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "Yeah, exactly. So now we have to find the cube root of 100. This is a little difficult because it's not going to be an exact number. It's going to be a long decimal, um, so now we can estimate what numbers this is between, OK?", "session_id": 17898, "sequence_id": 57, "annotations": []}
{"role": "student", "content": "OK", "session_id": 17898, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "So 2 cubed, we already found that equals", "session_id": 17898, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "8, right", "session_id": 17898, "sequence_id": 60, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 17898, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "3 cubed, do you think you can try and figure out what that is?", "session_id": 17898, "sequence_id": 62, "annotations": []}
{"role": "student", "content": "Uh, yes.", "session_id": 17898, "sequence_id": 63, "annotations": []}
{"role": "student", "content": "That", "session_id": 17898, "sequence_id": 64, "annotations": []}
{"role": "student", "content": "you.", "session_id": 17898, "sequence_id": 65, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 17898, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "Great job. It's 27. Now we can do 4 cubed and 5 cubed, um, you can try to solve them if you want, but I think you understand the concept, so I can just", "session_id": 17898, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "um put the answers on the board. So", "session_id": 17898, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "4 cubed is for 64 and then 5 cubed is 125.", "session_id": 17898, "sequence_id": 69, "annotations": []}
{"role": "student", "content": "OK", "session_id": 17898, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "Right? So between these numbers 4 cubed and 5 cubed, we know that the cube root of 100 is between them, right?", "session_id": 17898, "sequence_id": 71, "annotations": []}
{"role": "student", "content": "OK", "session_id": 17898, "sequence_id": 72, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 17898, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "So that means and one number between 4 and 5 is the cube root of 100. Does that make sense?", "session_id": 17898, "sequence_id": 74, "annotations": []}
{"role": "student", "content": "Oh, yes. OK.", "session_id": 17898, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "Yeah. So some number between 4 and 5 has to eat it times itself 3 times, has to equal 100. So we can just say that this equals something like 4.5.", "session_id": 17898, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "Right? Something like that.", "session_id": 17898, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "Yeah.", "session_id": 17898, "sequence_id": 78, "annotations": []}
{"role": "student", "content": "Cause it's between 4 and 5.8.", "session_id": 17898, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "It's not exactly 4.5, but it's one of the numbers between, so we know it's more than 4 and less than 5.", "session_id": 17898, "sequence_id": 80, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 17898, "sequence_id": 81, "annotations": []}
{"role": "volunteer", "content": "right? So we can just take 4.5 as an example. So 4.5 + 5 equals what?", "session_id": 17898, "sequence_id": 82, "annotations": []}
{"role": "student", "content": "Uh", "session_id": 17898, "sequence_id": 83, "annotations": []}
{"role": "student", "content": "uh, 9.5.", "session_id": 17898, "sequence_id": 84, "annotations": []}
{"role": "volunteer", "content": "Yeah, exactly. And now we know that this is equal to 9.5 or something around 9.5. So the first part is equal to 9, and the second part is equal to 9.5. So 9 is less than 9.5, right?", "session_id": 17898, "sequence_id": 85, "annotations": []}
{"role": "student", "content": "Yup", "session_id": 17898, "sequence_id": 86, "annotations": []}
{"role": "volunteer", "content": "So the answer to this would be less than. Does that make sense?", "session_id": 17898, "sequence_id": 87, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 17898, "sequence_id": 88, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 17898, "sequence_id": 89, "annotations": []}
{"role": "student", "content": "because this is, OK.", "session_id": 17898, "sequence_id": 90, "annotations": []}
{"role": "volunteer", "content": "OK, great. Um, was there any other question that you wanted to?", "session_id": 17898, "sequence_id": 91, "annotations": []}
{"role": "student", "content": "Uh let me see.", "session_id": 17898, "sequence_id": 92, "annotations": []}
{"role": "student", "content": "Uh", "session_id": 17898, "sequence_id": 93, "annotations": []}
{"role": "student", "content": "yeah, let me", "session_id": 17898, "sequence_id": 94, "annotations": []}
{"role": "student", "content": "OK, uh, let me write it down real quick.", "session_id": 17898, "sequence_id": 95, "annotations": []}
{"role": "student", "content": "OK, there you go", "session_id": 17898, "sequence_id": 96, "annotations": []}
{"role": "student", "content": "I wrote it down.", "session_id": 17898, "sequence_id": 97, "annotations": []}
{"role": "volunteer", "content": "Oh, sorry. Um, can you hear me now?", "session_id": 17898, "sequence_id": 98, "annotations": []}
{"role": "student", "content": "It's fine", "session_id": 17898, "sequence_id": 99, "annotations": []}
{"role": "student", "content": "Yeah, I can hear you now", "session_id": 17898, "sequence_id": 100, "annotations": []}
{"role": "volunteer", "content": "OK. Um", "session_id": 17898, "sequence_id": 101, "annotations": []}
{"role": "volunteer", "content": "so we already talked about absolute values. Um, so what would -0.17B, the absolute value of that.", "session_id": 17898, "sequence_id": 102, "annotations": []}
{"role": "student", "content": "Um, it would be", "session_id": 17898, "sequence_id": 103, "annotations": []}
{"role": "student", "content": "0.17.", "session_id": 17898, "sequence_id": 104, "annotations": []}
{"role": "volunteer", "content": "Yeah, great job. OK, and now we have to convert 1/7 to a decimal. So we can do that by doing division. Um, we have to divide", "session_id": 17898, "sequence_id": 105, "annotations": []}
{"role": "volunteer", "content": "one by 7.", "session_id": 17898, "sequence_id": 106, "annotations": []}
{"role": "student", "content": "OK", "session_id": 17898, "sequence_id": 107, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 17898, "sequence_id": 108, "annotations": []}
{"role": "volunteer", "content": "Does that make sense? OK, so let's start. So 7 goes into 1 how many times?", "session_id": 17898, "sequence_id": 109, "annotations": []}
{"role": "student", "content": "0", "session_id": 17898, "sequence_id": 110, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 17898, "sequence_id": 111, "annotations": []}
{"role": "volunteer", "content": "0. Great job. Now, we have to add a decimal, right? So 7 goes into um", "session_id": 17898, "sequence_id": 112, "annotations": []}
{"role": "volunteer", "content": "sorry, yeah, the decimal goes there. 7 goes into 10, how many times?", "session_id": 17898, "sequence_id": 113, "annotations": []}
{"role": "student", "content": "Um", "session_id": 17898, "sequence_id": 114, "annotations": []}
{"role": "student", "content": "once", "session_id": 17898, "sequence_id": 115, "annotations": []}
{"role": "volunteer", "content": "Once, exactly. So now we put a one up there, then multiply these two, and we get a 3. Now, let's get another 0.", "session_id": 17898, "sequence_id": 116, "annotations": []}
{"role": "volunteer", "content": "and drop it down. One goes into 30, how many times?", "session_id": 17898, "sequence_id": 117, "annotations": []}
{"role": "student", "content": "Uh", "session_id": 17898, "sequence_id": 118, "annotations": []}
{"role": "student", "content": "wouldn't it be 4 times?", "session_id": 17898, "sequence_id": 119, "annotations": []}
{"role": "volunteer", "content": "Yes, exactly. So we can stop here. We know there will probably be a bunch of more decimals going on, but we have 0.14, right? And 0.14 is less than or greater than 0.17.", "session_id": 17898, "sequence_id": 120, "annotations": []}
{"role": "student", "content": "Wait, so how do you know like when to stop with the long division?", "session_id": 17898, "sequence_id": 121, "annotations": []}
{"role": "student", "content": "Oh.", "session_id": 17898, "sequence_id": 122, "annotations": []}
{"role": "volunteer", "content": "Um, here, we just needed the first two digits because this decimal on the right, it only has two digits. So if you're comparing it to one with 3 digits, you'd want to go to 3 digits, um, 5 digits you want to go to 5 digits, but here, since we only have 2, we can stop at the 1st 2.", "session_id": 17898, "sequence_id": 123, "annotations": []}
{"role": "student", "content": "OK", "session_id": 17898, "sequence_id": 124, "annotations": []}
{"role": "volunteer", "content": "Yeah. So, what's the answer now?", "session_id": 17898, "sequence_id": 125, "annotations": []}
{"role": "student", "content": "Um, it would", "session_id": 17898, "sequence_id": 126, "annotations": []}
{"role": "student", "content": "it", "session_id": 17898, "sequence_id": 127, "annotations": []}
{"role": "student", "content": "that", "session_id": 17898, "sequence_id": 128, "annotations": []}
{"role": "volunteer", "content": "Yes, perfect. OK.", "session_id": 17898, "sequence_id": 129, "annotations": []}
{"role": "volunteer", "content": "Um, was there another question?", "session_id": 17898, "sequence_id": 130, "annotations": []}
{"role": "student", "content": "um,", "session_id": 17898, "sequence_id": 131, "annotations": []}
{"role": "volunteer", "content": "or are you now?", "session_id": 17898, "sequence_id": 132, "annotations": []}
{"role": "student", "content": "I mean", "session_id": 17898, "sequence_id": 133, "annotations": []}
{"role": "student", "content": "Oh yeah, there's one more, sorry.", "session_id": 17898, "sequence_id": 134, "annotations": []}
{"role": "volunteer", "content": "No, it's OK", "session_id": 17898, "sequence_id": 135, "annotations": []}
{"role": "volunteer", "content": "Um, put it on the board if you can.", "session_id": 17898, "sequence_id": 136, "annotations": []}
{"role": "student", "content": "ok", "session_id": 17898, "sequence_id": 137, "annotations": []}
{"role": "volunteer", "content": "OK. So when we have a square root over a fraction like this, we can start and just distribute the square root to each side. So we get", "session_id": 17898, "sequence_id": 138, "annotations": []}
{"role": "volunteer", "content": "we can ignore the negative for now as well. So we can just turn this into screw root of 9. Over the square root of 16.", "session_id": 17898, "sequence_id": 139, "annotations": []}
{"role": "volunteer", "content": "Um, do you know what the square roots of each of these numbers are?", "session_id": 17898, "sequence_id": 140, "annotations": []}
{"role": "student", "content": "Um", "session_id": 17898, "sequence_id": 141, "annotations": []}
{"role": "volunteer", "content": "Exactly", "session_id": 17898, "sequence_id": 142, "annotations": []}
{"role": "student", "content": "I think I have it in my notes. Uh, so 9 would be 3 and 16 would be 4.", "session_id": 17898, "sequence_id": 143, "annotations": []}
{"role": "student", "content": "So", "session_id": 17898, "sequence_id": 144, "annotations": []}
{"role": "volunteer", "content": "Yeah, so the square root of 9/16 is equal to 3/4, right? And then now we can add the negative sign. So what would the answer be to this question?", "session_id": 17898, "sequence_id": 145, "annotations": []}
{"role": "student", "content": "like it'd be between 3.5.", "session_id": 17898, "sequence_id": 146, "annotations": []}
{"role": "volunteer", "content": "Um, no, we would have to, um, we can just leave it as a negative.", "session_id": 17898, "sequence_id": 147, "annotations": []}
{"role": "student", "content": "Oh.", "session_id": 17898, "sequence_id": 148, "annotations": []}
{"role": "volunteer", "content": "3 of", "session_id": 17898, "sequence_id": 149, "annotations": []}
{"role": "student", "content": "Oh, we can leave it as a fraction for this one.", "session_id": 17898, "sequence_id": 150, "annotations": []}
{"role": "volunteer", "content": "Yeah, yeah, yeah. We don't need to convert it now.", "session_id": 17898, "sequence_id": 151, "annotations": []}
{"role": "student", "content": "OK, so then it'll be", "session_id": 17898, "sequence_id": 152, "annotations": []}
{"role": "student", "content": "so with the negative go like just for the floor or for the whole problem.", "session_id": 17898, "sequence_id": 153, "annotations": []}
{"role": "volunteer", "content": "No, no, no. Yeah, sorry. I think I wrote it a little confusingly.", "session_id": 17898, "sequence_id": 154, "annotations": []}
{"role": "student", "content": "No, it's fine", "session_id": 17898, "sequence_id": 155, "annotations": []}
{"role": "student", "content": "OK", "session_id": 17898, "sequence_id": 156, "annotations": []}
{"role": "student", "content": "So", "session_id": 17898, "sequence_id": 157, "annotations": []}
{"role": "volunteer", "content": "But yeah, the negative is for the whole fraction. So we have negative 3/4. Yeah, great job. It's equal.", "session_id": 17898, "sequence_id": 158, "annotations": []}
{"role": "student", "content": "OK", "session_id": 17898, "sequence_id": 159, "annotations": []}
{"role": "volunteer", "content": "OK, yeah", "session_id": 17898, "sequence_id": 160, "annotations": []}
{"role": "student", "content": "Yeah. Thank you so much.", "session_id": 17898, "sequence_id": 161, "annotations": []}
{"role": "student", "content": "Thanks", "session_id": 17898, "sequence_id": 162, "annotations": []}
{"role": "volunteer", "content": "Yeah, no problem. You did great. Do you think you're understanding it now?", "session_id": 17898, "sequence_id": 163, "annotations": []}
{"role": "student", "content": "Yeah, I'm definitely understanding it a lot more.", "session_id": 17898, "sequence_id": 164, "annotations": []}
{"role": "volunteer", "content": "OK, yeah. Fantastic. Good luck on your homework, and I think you did great. You're in a good spot for sure.", "session_id": 17898, "sequence_id": 165, "annotations": []}
{"role": "student", "content": "Thank you", "session_id": 17898, "sequence_id": 166, "annotations": []}
{"role": "volunteer", "content": "I'll end the session now.", "session_id": 17898, "sequence_id": 167, "annotations": []}
{"role": "student", "content": "OK", "session_id": 17898, "sequence_id": 168, "annotations": []}
{"role": "volunteer", "content": "Hello!", "session_id": 19829, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "Hi! How are you doing today?", "session_id": 19829, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "I'm doing good! How are you and what do you need help with today?", "session_id": 19829, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "I'm good! I have a quiz coming up about simplifying expressions. I would like to know how to do that. I have a practice question here. Its 7xy - 3x + 8y - 2xy", "session_id": 19829, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "Okay! I put the problem on the board. Do you have an idea of how to start it?", "session_id": 19829, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "I'm not very sure. I know that we have to combine like terms", "session_id": 19829, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "yes! We do need to combine like terms!", "session_id": 19829, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "Do you have an idea of what like-terms we should start with?", "session_id": 19829, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "It's completely okay if you don't!", "session_id": 19829, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "I think 7xy and 2xy", "session_id": 19829, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "Yes!", "session_id": 19829, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "The like terms in the expression are 7xy and -2xy", "session_id": 19829, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "Do you know how to combine them?", "session_id": 19829, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "ohh im sure", "session_id": 19829, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "*im not sure", "session_id": 19829, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "I can help!", "session_id": 19829, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "So we start by looking at the xy terms", "session_id": 19829, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "We can see a number right infront of those terms", "session_id": 19829, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "In this case, it is 7 and -2", "session_id": 19829, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "To combine like terms we basically need to combine (add) the coefficients (the numbers) together that fit the \"like term\" (xy)", "session_id": 19829, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "So we add, 7 + (-2) together", "session_id": 19829, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "so 5?", "session_id": 19829, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "Yes!", "session_id": 19829, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "5xy -3x+8y is the most simplified that expression gets", "session_id": 19829, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "Does that make sense?", "session_id": 19829, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "Yes! Thank you :)", "session_id": 19829, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "Of course!", "session_id": 19829, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "Do you have another problem you want to try?", "session_id": 19829, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "Sure", "session_id": 19829, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "If not, I can find some practice sets", "session_id": 19829, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "Any is fine :)", "session_id": 19829, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "Do you want to try some of the problems on the board?", "session_id": 19829, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "Sure, can we start on the first one?", "session_id": 19829, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "of course!", "session_id": 19829, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "okay! So 2m + 5m = 7m", "session_id": 19829, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "So now it's 7m + 7n-4n", "session_id": 19829, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "and 7n-4n is 3n", "session_id": 19829, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "So I think it can be 7m+3n?", "session_id": 19829, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "Yes!", "session_id": 19829, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "That is correct!", "session_id": 19829, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "Great!", "session_id": 19829, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "Which problem do you want to do next?", "session_id": 19829, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "The one on the bottom? I think it looks the hardest lol", "session_id": 19829, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "So i'll need help on this one", "session_id": 19829, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "Okay! (I think it might be the hardest)", "session_id": 19829, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "How do you think we should begin?", "session_id": 19829, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "okay so i think (x-5) = -5x?", "session_id": 19829, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "Is that right?", "session_id": 19829, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "Well, when we say like-terms, we typically mean non-numerical things like x, y, n, m", "session_id": 19829, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "I'll tell you how I'd start this problem", "session_id": 19829, "sequence_id": 49, "annotations": []}
{"role": "student", "content": "mm okay", "session_id": 19829, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "Did that make sense?", "session_id": 19829, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "Yes, I understand that now :)", "session_id": 19829, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "Typically, I go through PMDAS when I do these types of problems (that is an acronym)\n\nIt stands for:\n\nP \u2013 Parentheses \u2192 Do anything inside ( ), [ ], or { } first.\n\nM \u2013 Multiplication \u2192 Multiply numbers.\n\nD \u2013 Division \u2192 Divide numbers.\n\nA \u2013 Addition \u2192 Add numbers.\n\nS \u2013 Subtraction \u2192 Subtract numbers.", "session_id": 19829, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "Since everything in both sets of parenthesis cannot be combined (since they aren't like terms), I would move on to mulitplication", "session_id": 19829, "sequence_id": 54, "annotations": []}
{"role": "student", "content": "Okay", "session_id": 19829, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "Have you learned distribution yet? It's completely okay if you haven't--I'm just not too sure if you have", "session_id": 19829, "sequence_id": 56, "annotations": []}
{"role": "student", "content": "No, i'm not sure I have", "session_id": 19829, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "Okay! So when we see a number directly infront of a parenthesis \n\nExample -2(x) \n\nwe multiply the number by whatever is inside the parenthesis so -2(x) becomes -2x", "session_id": 19829, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "This gets more complex when there are multiple terms inside of the parenthesis.\n\nExample -2(x-5)\n\nFor this, we would multiply 2 by whatever is inside of the parenthesis, but this time there are two terms\n\nDistribution is where you \"distribute\" or multiply the -2 by multiple terms (first you'd start with the x then you'd move to the -5)", "session_id": 19829, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "Did that make any sense?", "session_id": 19829, "sequence_id": 60, "annotations": []}
{"role": "student", "content": "Yes, that makes sense \ud83d\udc4d", "session_id": 19829, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "So for this you would multiply -2 and x and then -2 and -5", "session_id": 19829, "sequence_id": 62, "annotations": []}
{"role": "student", "content": "ohh, okay", "session_id": 19829, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "So you distribute the -2 (multiply to all terms) then combine the terms (this time they are not like-terms so you just add them)\n\nThen it becames -2x +10", "session_id": 19829, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "Did that make sense?", "session_id": 19829, "sequence_id": 65, "annotations": []}
{"role": "student", "content": "Yes, it does", "session_id": 19829, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "So that is how we \"simplify\" the first part of that expression", "session_id": 19829, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "Do you want to try the second set of parenthesis together?", "session_id": 19829, "sequence_id": 68, "annotations": []}
{"role": "student", "content": "Sure, I can try", "session_id": 19829, "sequence_id": 69, "annotations": []}
{"role": "student", "content": "I actually have one question, when numbers don't have any letters like x or something, does that make them like terms?", "session_id": 19829, "sequence_id": 70, "annotations": []}
{"role": "student", "content": "like 3 and -4", "session_id": 19829, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "sort of so if the expression is 3+ (-4)  then yes, they are kind of like like-terms and you can combine them to get -1\n\nbut when you see a number connected to a parenthesis that is not a like-term \n\n3(2x+1) -4 ..... you can't connect the 3 and -4 here\n\n\nI like to think of the bracket/parenthesis as a term so the 3 is weighed down by (2x+1)  if that makes sense?", "session_id": 19829, "sequence_id": 72, "annotations": []}
{"role": "student", "content": "Okay, I understand now. So I think we have to multiply 3 x 2x?", "session_id": 19829, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "Yes! This is another case where we have to use \"distribution\"\n\nYou multiply 3 x 2x\nYou also multiply 3 by 1\n\nThen you add both outcomes together (combine if like terms, just put a + if not like terms)", "session_id": 19829, "sequence_id": 74, "annotations": []}
{"role": "student", "content": "Okay! So 3 x 2x = 6x? And then that makes it 6x+1?", "session_id": 19829, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "Super super close!", "session_id": 19829, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "Distribution is when you multiply the number outside the parentheses by every term inside the parentheses.\nThink of it as \u201csharing\u201d the outside number with each piece inside.\n\nFirst you do 3 x 2x = 6x but then you have to share a bit of that 3 with the +1 term at the end (since it is inside the parenthesis)\n\nso you multiply the 3 by the 1 too", "session_id": 19829, "sequence_id": 77, "annotations": []}
{"role": "student", "content": "Oh, okay, so that = 3. How would I combine that with 6x?", "session_id": 19829, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "If you look to the left board I made three lines\n\nThe top line is me multiplying (distributing) the 3 to the 2x term\n\nThe second line is me multiplying (distributing) the 3 to the +1 term\n\nBut we need to combine these terms right? So the bottom line is me doing an addition equation to add the two un-like terms together (by sticking a + sign inbetween them", "session_id": 19829, "sequence_id": 79, "annotations": []}
{"role": "student", "content": "mmm, okay!", "session_id": 19829, "sequence_id": 80, "annotations": []}
{"role": "volunteer", "content": "Does that make sense? the () are a symbol for multiplication here\n\nWe need to make sure every term/number/letter in the () get the muliplier number outside of the () distributed to them -- they each want a piece\n\nSo you just multiply each term by 3 and keep the same structure", "session_id": 19829, "sequence_id": 81, "annotations": []}
{"role": "student", "content": "Yes, I understand now :)", "session_id": 19829, "sequence_id": 82, "annotations": []}
{"role": "volunteer", "content": "if you look:\n\n2x+1 is really similar to 6x+3\n\nit is just each section is multiplied by 3", "session_id": 19829, "sequence_id": 83, "annotations": []}
{"role": "volunteer", "content": "Yay!", "session_id": 19829, "sequence_id": 84, "annotations": []}
{"role": "volunteer", "content": "We have one last step to fully simplify this equation", "session_id": 19829, "sequence_id": 85, "annotations": []}
{"role": "student", "content": "okay so 6x + 3 - 4?", "session_id": 19829, "sequence_id": 86, "annotations": []}
{"role": "student", "content": "ohh i forgot about that part", "session_id": 19829, "sequence_id": 87, "annotations": []}
{"role": "volunteer", "content": "Yes! but we also need to combine that with the first part too", "session_id": 19829, "sequence_id": 88, "annotations": []}
{"role": "student", "content": "-2x+6x= 4x", "session_id": 19829, "sequence_id": 89, "annotations": []}
{"role": "volunteer", "content": "So in this instance (since none of the terms have any distractions like parenthesis) we can combine everything just like that!", "session_id": 19829, "sequence_id": 90, "annotations": []}
{"role": "volunteer", "content": "We can also combine the numbers since they are not restricted by any weird terms", "session_id": 19829, "sequence_id": 91, "annotations": []}
{"role": "student", "content": "so 4x+11?", "session_id": 19829, "sequence_id": 92, "annotations": []}
{"role": "volunteer", "content": "very close! \n\n10+3= 13\n13-4=9\n\nSmall math mistake but yes!", "session_id": 19829, "sequence_id": 93, "annotations": []}
{"role": "student", "content": "Oop, my bad. 4x + 9", "session_id": 19829, "sequence_id": 94, "annotations": []}
{"role": "volunteer", "content": "Yes! I'm pretty sure that problem is going to be much more complex than any of the other problems on your quizzes any time soon.", "session_id": 19829, "sequence_id": 95, "annotations": []}
{"role": "student", "content": "Okay, but I'm happy you showed me how to do it :)", "session_id": 19829, "sequence_id": 96, "annotations": []}
{"role": "student", "content": "Thank you! Have a great day!", "session_id": 19829, "sequence_id": 97, "annotations": []}
{"role": "volunteer", "content": "Of course!", "session_id": 19829, "sequence_id": 98, "annotations": []}
{"role": "volunteer", "content": "Have a great day!", "session_id": 19829, "sequence_id": 99, "annotations": []}
{"role": "volunteer", "content": "Do you want me to end the session?", "session_id": 19829, "sequence_id": 100, "annotations": []}
{"role": "student", "content": "Sure, bye!", "session_id": 19829, "sequence_id": 101, "annotations": []}
{"role": "volunteer", "content": "Okay!", "session_id": 19829, "sequence_id": 102, "annotations": []}
{"role": "volunteer", "content": "Goodbye!", "session_id": 19829, "sequence_id": 103, "annotations": []}
{"role": "volunteer", "content": "Hey Chloe!", "session_id": 19858, "sequence_id": 0, "annotations": [{"pii_type": "PERSON", "surrogate": "Chloe", "start": 4, "end": 9}]}
{"role": "student", "content": "hello", "session_id": 19858, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "What do you need help with today?", "session_id": 19858, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "accuplacer placement test questions", "session_id": 19858, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "in Math 101", "session_id": 19858, "sequence_id": 4, "annotations": [{"pii_type": "COURSE", "surrogate": "Math 101", "start": 3, "end": 11}]}
{"role": "volunteer", "content": "okay! what subjects/topics specifically?", "session_id": 19858, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "geometry concepts", "session_id": 19858, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "okay!", "session_id": 19858, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "feel free to put some questions onthe board", "session_id": 19858, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "one moment", "session_id": 19858, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "lets start with this one", "session_id": 19858, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "okay!", "session_id": 19858, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "I only see 1 option through", "session_id": 19858, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "i dont know if this is geometry but help me with it please", "session_id": 19858, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "Okay! COuld you first put all of the options on the baord though", "session_id": 19858, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "better?", "session_id": 19858, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "okay yes, do you have any ideas on what the answer is?", "session_id": 19858, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "no", "session_id": 19858, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "okay, have you learned the horizontal line test yet?", "session_id": 19858, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "wait no the vertical line test", "session_id": 19858, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "no", "session_id": 19858, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "basicallu, a function lik ey = f(x) needs to only have one y value for every x value", "session_id": 19858, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "aka, if you draw a vertical line at any point, it could only intersect with the graph once", "session_id": 19858, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "can you show me an example", "session_id": 19858, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "for example, on a, if you draw a vertical line at several points it interesects with the graph at two m=points, making ti invalid", "session_id": 19858, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "is the answer C?", "session_id": 19858, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "yep", "session_id": 19858, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "so we can start to explain why its C", "session_id": 19858, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "well because of the vertical line test", "session_id": 19858, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "fair. enough", "session_id": 19858, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "how bout this one", "session_id": 19858, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "okay! are you allowed usage of a claculator on these questions?", "session_id": 19858, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "no", "session_id": 19858, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "okay, then th ebest way would be plug some values in", "session_id": 19858, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "for example, choose a point like x = 1. find that point on the graph first, then plug x = 1 in the equations. Whichever one's value for y equals the y value of the graph will be correct", "session_id": 19858, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "by the way i havent done math for 5 years", "session_id": 19858, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "so i might need more explaining lol", "session_id": 19858, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "wow what was your math class, and why are you picking it back up now?", "session_id": 19858, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "no a math class", "session_id": 19858, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "i will be taking the math placement test", "session_id": 19858, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "your last math class*", "session_id": 19858, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "that you took", "session_id": 19858, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "so im preparing for it", "session_id": 19858, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "Lincoln High? high school?", "session_id": 19858, "sequence_id": 43, "annotations": [{"pii_type": "SCHOOL", "surrogate": "Lincoln High", "start": 0, "end": 12}]}
{"role": "student", "content": "college", "session_id": 19858, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "the accuplacer placement test", "session_id": 19858, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "math*", "session_id": 19858, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "Riverdale College", "session_id": 19858, "sequence_id": 47, "annotations": [{"pii_type": "SCHOOL", "surrogate": "Riverdale College", "start": 0, "end": 17}]}
{"role": "student", "content": "no really i have been studying for a while i just need to learn more so i can get a high score", "session_id": 19858, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "if you don't mind me asking why did you have a 5 year break in math?", "session_id": 19858, "sequence_id": 49, "annotations": []}
{"role": "student", "content": "Maplewood Academy otherwise i was really smart in math during highschool", "session_id": 19858, "sequence_id": 50, "annotations": [{"pii_type": "SCHOOL", "surrogate": "Maplewood Academy", "start": 0, "end": 17}]}
{"role": "student", "content": "im a fast learner dont worry i wont trouble you", "session_id": 19858, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "let's get back to the question", "session_id": 19858, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "I still think pluggin in values is the best idea. You understand that teh graph represents one of the options right?", "session_id": 19858, "sequence_id": 53, "annotations": []}
{"role": "student", "content": "yes", "session_id": 19858, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "so, here when (1, -9), that means in the equations from A to D when you plug in 1 for x you should get -9 for f(x)", "session_id": 19858, "sequence_id": 55, "annotations": []}
{"role": "student", "content": "we will cancel choice B and D", "session_id": 19858, "sequence_id": 56, "annotations": []}
{"role": "student", "content": "because the slope in those is wrong", "session_id": 19858, "sequence_id": 57, "annotations": []}
{"role": "student", "content": "ohhh", "session_id": 19858, "sequence_id": 58, "annotations": []}
{"role": "student", "content": "i see now", "session_id": 19858, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "okay yeah. No use my technique to determine whcih ones out of A and C", "session_id": 19858, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "what happens when you use X = 1 on option C?", "session_id": 19858, "sequence_id": 61, "annotations": []}
{"role": "student", "content": "its doesnt equal -9", "session_id": 19858, "sequence_id": 62, "annotations": []}
{"role": "student", "content": "the answer is A", "session_id": 19858, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "yes!", "session_id": 19858, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "next question", "session_id": 19858, "sequence_id": 65, "annotations": []}
{"role": "student", "content": "1^2 is q", "session_id": 19858, "sequence_id": 66, "annotations": []}
{"role": "student", "content": "1", "session_id": 19858, "sequence_id": 67, "annotations": []}
{"role": "student", "content": "so 1-2-8", "session_id": 19858, "sequence_id": 68, "annotations": []}
{"role": "student", "content": "=-9", "session_id": 19858, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "yep", "session_id": 19858, "sequence_id": 70, "annotations": []}
{"role": "student", "content": "how do i find the range in this equation", "session_id": 19858, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "okay usually in rnage questions it'll be a sqrt, and that's gotta be non negative (positive and 0) in the sqrt", "session_id": 19858, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "since that doesn't appear here, it's just all real", "session_id": 19858, "sequence_id": 73, "annotations": []}
{"role": "student", "content": "i dont get it yet could you show me a simpler example", "session_id": 19858, "sequence_id": 74, "annotations": []}
{"role": "volunteer", "content": "if you were asked the range of this here, it would be 7 or higher, because the sqrt needs to be 0 or positive", "session_id": 19858, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "that's essentailly what range emans", "session_id": 19858, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "you're not gonna see really any other instances, it's just sqrts and logs", "session_id": 19858, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "that the log and the sqrt can't be negative essentailly", "session_id": 19858, "sequence_id": 78, "annotations": []}
{"role": "student", "content": "ok", "session_id": 19858, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "next question?", "session_id": 19858, "sequence_id": 80, "annotations": []}
{"role": "student", "content": "this one", "session_id": 19858, "sequence_id": 81, "annotations": []}
{"role": "volunteer", "content": "Okay, have you learned how to factor quadratics yet?", "session_id": 19858, "sequence_id": 82, "annotations": []}
{"role": "student", "content": "yes", "session_id": 19858, "sequence_id": 83, "annotations": []}
{"role": "volunteer", "content": "let' try to do that here", "session_id": 19858, "sequence_id": 84, "annotations": []}
{"role": "student", "content": "ok", "session_id": 19858, "sequence_id": 85, "annotations": []}
{"role": "student", "content": "-24 can be divided to 4,6,8,3,12,2", "session_id": 19858, "sequence_id": 86, "annotations": []}
{"role": "student", "content": "i will go to sleep i cant focus anymore", "session_id": 19858, "sequence_id": 87, "annotations": []}
{"role": "student", "content": "thanks for your help", "session_id": 19858, "sequence_id": 88, "annotations": []}
{"role": "student", "content": "have a good night", "session_id": 19858, "sequence_id": 89, "annotations": []}
{"role": "volunteer", "content": "okay, bye!!", "session_id": 19858, "sequence_id": 90, "annotations": []}
{"role": "volunteer", "content": "Hi.", "session_id": 21105, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "hello I would like to check my answers for problems 88 and 87 and would like help on how how to solve 89", "session_id": 21105, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "Ok.", "session_id": 21105, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "87 is good.", "session_id": 21105, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "88 also looks good although I probably would leave the answer as y^4 / 100.", "session_id": 21105, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "Are you ready to talk about 89?", "session_id": 21105, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "yes", "session_id": 21105, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "Ok.  Let's work on the first term first.", "session_id": 21105, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "When we have a power of a power, we multiply exponents, right?", "session_id": 21105, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "yes", "session_id": 21105, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "So let's do that as our primary way of tackling the problem.  We can also assume that 5 has an exponent of 1, okay?", "session_id": 21105, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "So.  Let's multiply each term in the first parenthesis by -2 times the exponent.", "session_id": 21105, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "after doing that I got (5^-2 a^12 b^-4) (10^2 Z^6 b^-8", "session_id": 21105, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "(5^-2 a^12 b^-4) is right.  Please do the second term.", "session_id": 21105, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "Oh.  You did that okay.l", "session_id": 21105, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "So now we need to write out the numbers first.  5^-2 = ?", "session_id": 21105, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "1/5^2", "session_id": 21105, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "Right which is 1/25", "session_id": 21105, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "What is 10^2?", "session_id": 21105, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "100", "session_id": 21105, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "Right.  So we 100/25 = 4 so far.", "session_id": 21105, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "Now the a term is already done so we will write down a^12 for that.", "session_id": 21105, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "What will we do with the b term?", "session_id": 21105, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "add the exponents", "session_id": 21105, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "Yes!", "session_id": 21105, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "What do you get?", "session_id": 21105, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "1/b^12?", "session_id": 21105, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "Right.  So put that in the denominator.", "session_id": 21105, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "The z term is also done.  So the final answer should be (4a^12) / (b^12 z^6).", "session_id": 21105, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "Sorry. the z^6 should be in the numerator.", "session_id": 21105, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "How about (4a^12 z^6) / (b^12)", "session_id": 21105, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "I put the answer in the whiteboard is that it", "session_id": 21105, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "Yes.  But put the 4 first for good form.", "session_id": 21105, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "You did great!", "session_id": 21105, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "thank you I uploaded another paper that I have to check", "session_id": 21105, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "Ok.", "session_id": 21105, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "because I got 25 weeks for both of them which I believe is wrong", "session_id": 21105, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "Are we working number 92?", "session_id": 21105, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "yes", "session_id": 21105, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "Let me read it for a minute.", "session_id": 21105, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "Ok.  For plan 1,  what do you have for an answer?", "session_id": 21105, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "for question a. I got 129..6", "session_id": 21105, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "for question b. I put 25", "session_id": 21105, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "On Plan 1, you should calculate the amount owed after 12 weeks as $270 - (12*10.0) = $140.40.", "session_id": 21105, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "That should be 10.80, not 10.", "session_id": 21105, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "So, do you see that Plan 1 gives 270 - (12*10.80) = $140.40?", "session_id": 21105, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "yeah I get it but whats the total of 10.80 times 12 because I got 129..6 the first time and when I subtracted it from 270 I didnt get the same answer", "session_id": 21105, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "nevermind I did it again and got the same answer", "session_id": 21105, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "Good.", "session_id": 21105, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "Okay let's do the same idea with Plan 2.", "session_id": 21105, "sequence_id": 49, "annotations": []}
{"role": "student", "content": "I got 78", "session_id": 21105, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "Great job!", "session_id": 21105, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "Ok.  Let's do part c first because it is the best way to do part b.", "session_id": 21105, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "We are just going to modify what we did already.", "session_id": 21105, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "See if this makes sense.", "session_id": 21105, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "270 - 12x = 0", "session_id": 21105, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "Sorry.  That's not right.", "session_id": 21105, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "270 - 10.80x = 0 for Plan 1.", "session_id": 21105, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "Does that equation make sense to you if x represents the number of weeks?", "session_id": 21105, "sequence_id": 58, "annotations": []}
{"role": "student", "content": "yes", "session_id": 21105, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "Ok.  Please write an equation for Plan 2.", "session_id": 21105, "sequence_id": 60, "annotations": []}
{"role": "student", "content": "270-120+6x=0", "session_id": 21105, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "-6x right?", "session_id": 21105, "sequence_id": 62, "annotations": []}
{"role": "student", "content": "I don't think so because dont you have to add 120 first or should it be 270-6x+120?", "session_id": 21105, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "If we think of the balance left after x weeks, then that balance would be equal to 0 when all is done.  Start with 270, subtract off the down payment of 120, and then subtract off $6 per week, thereafter.", "session_id": 21105, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "So.  Hopefully 270 - 120 - 6x = 0 models Plan 2.  Do you see that?", "session_id": 21105, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "$120 is the down payment.", "session_id": 21105, "sequence_id": 66, "annotations": []}
{"role": "student", "content": "ok", "session_id": 21105, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "Ask questions if it doesn't make sense to you, okay?", "session_id": 21105, "sequence_id": 68, "annotations": []}
{"role": "student", "content": "okay I will", "session_id": 21105, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "So.  I believe 25 weeks is the answer you get with either plan, just as you had indicated.", "session_id": 21105, "sequence_id": 70, "annotations": []}
{"role": "student", "content": "yeah but the question asks which plan requieres the least week so should I say neither or both?", "session_id": 21105, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "I would say that they both provide the least number of weeks at 25.", "session_id": 21105, "sequence_id": 72, "annotations": []}
{"role": "student", "content": "ok thank you so much", "session_id": 21105, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "Hey.  Will you see if my stylus works.  I'm going to write an x next to your problem.  Would you let me know if you can see it?", "session_id": 21105, "sequence_id": 74, "annotations": []}
{"role": "student", "content": "yes i can see it", "session_id": 21105, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "Great.  I was having problems with that earlier.  You did great today.  Keep up the great work!!", "session_id": 21105, "sequence_id": 76, "annotations": []}
{"role": "student", "content": "thank for help me and have a nice day!", "session_id": 21105, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "Bye", "session_id": 21105, "sequence_id": 78, "annotations": []}
{"role": "student", "content": "Hi", "session_id": 21745, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "Hi, I need help in Sarah", "session_id": 21745, "sequence_id": 1, "annotations": [{"pii_type": "PERSON", "surrogate": "Sarah", "start": 19, "end": 24}]}
{"role": "volunteer", "content": "Hello.", "session_id": 21745, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "I need help in geometry", "session_id": 21745, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "This is", "session_id": 21745, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "HI what can I help you with?", "session_id": 21745, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "Can you have a call with me so that I can show you the exact where I am getting my problem actually I have some test is coming up and the test is like a very tough for me and I\u2019m feeling very hard in geometry so could you please help me", "session_id": 21745, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "Sure! What topic do you want to go over?", "session_id": 21745, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "Hello, can you hear me? Miss Sarah?", "session_id": 21745, "sequence_id": 8, "annotations": [{"pii_type": "PERSON", "surrogate": "Sarah", "start": 29, "end": 34}]}
{"role": "student", "content": "OK.", "session_id": 21745, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "Can you hear me?", "session_id": 21745, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "I like.", "session_id": 21745, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "I I.", "session_id": 21745, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "Because it.", "session_id": 21745, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "Sure let's do it!", "session_id": 21745, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "Can you find y now?", "session_id": 21745, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "Y=35?", "session_id": 21745, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "Hmm... Try doing 180-35 because those two angles form a straight line", "session_id": 21745, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "145?", "session_id": 21745, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "Exactly!", "session_id": 21745, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "Do you want me to give you a worksheet so you can practice those skills even more? And when you finish or if you have any questions let me know!", "session_id": 21745, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "Yeah that\u2019d be nice!", "session_id": 21745, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "I put a bunch of problems on the board. Give them a go! Let me know if you get stuck!", "session_id": 21745, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "Ok!", "session_id": 21745, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "Ok", "session_id": 21745, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "\ud83d\udc4d", "session_id": 21745, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "Thank you so much for your help", "session_id": 21745, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "Hi!", "session_id": 626, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "Hello How are you?", "session_id": 626, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "I'm good & yourself?! :)", "session_id": 626, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "I am fine tnx except for all the scam calls.", "session_id": 626, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "Good to hear!!& yeah haha I understand. So I am currently studying/practicing by doing problems that I've already done on homework but doing them again with different numbers but same format for some extra practice I made it into a pdf so I can see how the problem is solved in case i forget etc", "session_id": 626, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "OK you are dedicated!", "session_id": 626, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "pls wait", "session_id": 626, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "kk!", "session_id": 626, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "i am on page 35 btw", "session_id": 626, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "OK I am trying to access it Pls wait", "session_id": 626, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "I know i saw the link disappear", "session_id": 626, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "so i put it back on the screen", "session_id": 626, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "whenever I try to copy link, it disappears", "session_id": 626, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "you have to click it twice", "session_id": 626, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "I will try agian", "session_id": 626, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "and then copy and paste", "session_id": 626, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 626, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "please put it back", "session_id": 626, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "i did", "session_id": 626, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "click it twice", "session_id": 626, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "It won;t let me click pls wait", "session_id": 626, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "make sure its on the clicker and not pencil", "session_id": 626, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "OK which icon is that?", "session_id": 626, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "the clicker", "session_id": 626, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "its on the taskbar thingy", "session_id": 626, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "ill screenshare", "session_id": 626, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "OK I got it by finally copying", "session_id": 626, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "look", "session_id": 626, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "it has 43 pages is that correct?", "session_id": 626, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "no", "session_id": 626, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "35", "session_id": 626, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "yes", "session_id": 626, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "43 pages", "session_id": 626, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "but im on page 35", "session_id": 626, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "OK I am on page 3 now", "session_id": 626, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "How can I help?", "session_id": 626, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "ohh 38 not 3", "session_id": 626, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "ok pls wait", "session_id": 626, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "OK I am onp 38", "session_id": 626, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "35", "session_id": 626, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "35", "session_id": 626, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "do Maya page 35? If not, where do I see the numbers?", "session_id": 626, "sequence_id": 41, "annotations": [{"pii_type": "PERSON", "surrogate": "Maya", "start": 3, "end": 7}]}
{"role": "volunteer", "content": "hello", "session_id": 791, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "hello", "session_id": 791, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "i just need help with some questins", "session_id": 791, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "do you  mind if i upload them", "session_id": 791, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "Upload the first one.", "session_id": 791, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "okay", "session_id": 791, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "where do you think the absolute minimum is?", "session_id": 791, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "the very lowest point so id say at x=-3", "session_id": 791, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "yes.", "session_id": 791, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "ok", "session_id": 791, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "what is the absollute minimum?", "session_id": 791, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "yeah i said x=-3", "session_id": 791, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "The absolute min. occurs at x =-3, but they are asking what is the absolute minimum of the function at that point", "session_id": 791, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "do you know what I mean?", "session_id": 791, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "yes but i dont know what the point would be", "session_id": 791, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "I put a dot at the absoute minimum", "session_id": 791, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "i see it", "session_id": 791, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "what is the value of the function at that point?", "session_id": 791, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "-4?", "session_id": 791, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 791, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "oh okay", "session_id": 791, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "so would the abs max be abs max of 1 when x=1", "session_id": 791, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "?", "session_id": 791, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "1 cannot be the abs max because there are values of the function that are greater than 1", "session_id": 791, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "over on the left side of the fn", "session_id": 791, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "i was going to say 4, but because its a hole, i wasnt sure", "session_id": 791, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "Because of the open circle, the function does not have an absolute maximum", "session_id": 791, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "oh okay", "session_id": 791, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "so i would put none?", "session_id": 791, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "right", "session_id": 791, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "okay", "session_id": 791, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "for both?", "session_id": 791, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "You really only need the one on the left", "session_id": 791, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "okay, so what would go for x=?", "session_id": 791, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "Up to you. You could leave it blank,", "session_id": 791, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "i think my teacher wants me to fill it in", "session_id": 791, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "so i should keep none there also", "session_id": 791, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 791, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "as I said, that's up to you.", "session_id": 791, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "okay", "session_id": 791, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "okay, so would the next one be -3?", "session_id": 791, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "yes, good", "session_id": 791, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "okay", "session_id": 791, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "and can a local max be a hole?", "session_id": 791, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "no", "session_id": 791, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "okay so would the next local maximum be -2 at x= -2?", "session_id": 791, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "yes, good", "session_id": 791, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "okay, and now for the local max furthest to the right, would it be 1 at x=1?", "session_id": 791, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "right again!", "session_id": 791, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "okay thats good", "session_id": 791, "sequence_id": 49, "annotations": []}
{"role": "student", "content": "okay, should i uplaod my next one", "session_id": 791, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "sure", "session_id": 791, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "okay", "session_id": 791, "sequence_id": 52, "annotations": []}
{"role": "student", "content": "can you see it?", "session_id": 791, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 791, "sequence_id": 54, "annotations": []}
{"role": "student", "content": "okay", "session_id": 791, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "are you familiar with the MVT?", "session_id": 791, "sequence_id": 56, "annotations": []}
{"role": "student", "content": "yes", "session_id": 791, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "ok, then go ahead and give this a try.", "session_id": 791, "sequence_id": 58, "annotations": []}
{"role": "student", "content": "okay", "session_id": 791, "sequence_id": 59, "annotations": []}
{"role": "student", "content": "well i got 1.120 for the smaller x value, and 2.022 for the larger x value", "session_id": 791, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "I am not sure what you mean.", "session_id": 791, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "Can you do your calculation on the board?", "session_id": 791, "sequence_id": 62, "annotations": []}
{"role": "student", "content": "okay", "session_id": 791, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "First you need to find the average rate of change over that interval", "session_id": 791, "sequence_id": 64, "annotations": []}
{"role": "student", "content": "okay", "session_id": 791, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "Do you know how to find the average rate of change over an inteval?", "session_id": 791, "sequence_id": 66, "annotations": []}
{"role": "student", "content": "yes I see it", "session_id": 791, "sequence_id": 67, "annotations": []}
{"role": "student", "content": "okay thank you for helping me today, i have to leave", "session_id": 791, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "You are very welcome.", "session_id": 791, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "bye", "session_id": 791, "sequence_id": 70, "annotations": []}
{"role": "student", "content": "hi", "session_id": 1147, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "Hello!", "session_id": 1147, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "How can I help?", "session_id": 1147, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "Mia put the question on the board", "session_id": 1147, "sequence_id": 3, "annotations": [{"pii_type": "PERSON", "surrogate": "Mia", "start": 0, "end": 3}]}
{"role": "volunteer", "content": "Yes!", "session_id": 1147, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "it is just a certan part I'm confused about but I'll put the whole thing on the  board for context", "session_id": 1147, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "Ok sounds great", "session_id": 1147, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "Ok almost done solving", "session_id": 1147, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "is d right", "session_id": 1147, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "just making sure", "session_id": 1147, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "I dont see option D but I know how to solve it", "session_id": 1147, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "I solved it ok so", "session_id": 1147, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "Should I start explaining?", "session_id": 1147, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "because there are other options for equations to pick", "session_id": 1147, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "Ohhhh yes your right", "session_id": 1147, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "its D", "session_id": 1147, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "ok that's what I thought", "session_id": 1147, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "And as for the solution set part", "session_id": 1147, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "you isolate D", "session_id": 1147, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "isolate the variable t*", "session_id": 1147, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "I think that I understand that part. just the drop-down menu is kind of confusing what their asking. but can I still solve it and you tell me if I'm wrong", "session_id": 1147, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "ok sure", "session_id": 1147, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "so far so good", "session_id": 1147, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "very good correct", "session_id": 1147, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "oh wait", "session_id": 1147, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "bo one second", "session_id": 1147, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "Yes nevermind you're right very good", "session_id": 1147, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "ok", "session_id": 1147, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "Yes that is how you do it very good", "session_id": 1147, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "any more questions to work on?", "session_id": 1147, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "no just that drop-down table is confusing", "session_id": 1147, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "Ohhhh i see yeah you have to solve and find the correct sign but yeah", "session_id": 1147, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "so how do I know what sign to put", "session_id": 1147, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "would it be < with the line under it?", "session_id": 1147, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "Yes", "session_id": 1147, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "ok", "session_id": 1147, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "same thing", "session_id": 1147, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "that makes sen", "session_id": 1147, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "se", "session_id": 1147, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "mhm", "session_id": 1147, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "thanks. I think that's it", "session_id": 1147, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "Yup no Problem!", "session_id": 1147, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "but i need to put my answeres in the thing", "session_id": 1147, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "so Im gonna do that to see if I'm right", "session_id": 1147, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "Ok", "session_id": 1147, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "want me to double check", "session_id": 1147, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "before you do that", "session_id": 1147, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "or no", "session_id": 1147, "sequence_id": 47, "annotations": []}
{"role": "student", "content": "ok", "session_id": 1147, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "Yes should be right", "session_id": 1147, "sequence_id": 49, "annotations": []}
{"role": "student", "content": "yep. it is. thanks", "session_id": 1147, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "No problem!", "session_id": 1147, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "bye", "session_id": 1147, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "bye!", "session_id": 1147, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "Hello", "session_id": 3763, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "hi", "session_id": 3763, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "how can i help?", "session_id": 3763, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "thats the question", "session_id": 3763, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 3763, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "im in a hurry", "session_id": 3763, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "answer is 4/15", "session_id": 3763, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "you mutiply the fractions", "session_id": 3763, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "i need to show my wokr thats what counts", "session_id": 3763, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "can you show work step by step please on board", "session_id": 3763, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "ye sgive me a sec", "session_id": 3763, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "first write total frac of t=nuts is 4/5", "session_id": 3763, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "then fraction of cashews is 1/3", "session_id": 3763, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "can you show models", "session_id": 3763, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "the rectngle represent the bag", "session_id": 3763, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "thts 4/5 shade 4 of the colums", "session_id": 3763, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "then in the next step", "session_id": 3763, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "oh", "session_id": 3763, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "divide with a different colr for the cashews", "session_id": 3763, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "as the fraction is 1/3 it will be 3 horizontal lines with one them shaded", "session_id": 3763, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "now the overlap between 2 colors is in 1st 4 parts ryt?", "session_id": 3763, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "but total number of boxes here are 15 ryt?", "session_id": 3763, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "ok", "session_id": 3763, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "so the fraction is 4/15", "session_id": 3763, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "do u understand?", "session_id": 3763, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "yes im copying", "session_id": 3763, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "did u understand the concept?", "session_id": 3763, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "is there anything else i can help with?", "session_id": 3763, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "yes", "session_id": 3763, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 3763, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "is there another question Sarah?", "session_id": 3763, "sequence_id": 30, "annotations": [{"pii_type": "PERSON", "surrogate": "Sarah", "start": 26, "end": 31}]}
{"role": "student", "content": "yeah", "session_id": 3763, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "Sarah knw wht it is", "session_id": 3763, "sequence_id": 32, "annotations": [{"pii_type": "PERSON", "surrogate": "Sarah", "start": 0, "end": 5}]}
{"role": "volunteer", "content": "what algos were u taught besides the division one?", "session_id": 3763, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "partial quotients?", "session_id": 3763, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "Sarah?", "session_id": 3763, "sequence_id": 35, "annotations": [{"pii_type": "PERSON", "surrogate": "Sarah", "start": 0, "end": 5}]}
{"role": "student", "content": "im looking", "session_id": 3763, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "okay no problem im gonna put partial quoteints answer if its something else let me know i will change", "session_id": 3763, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "okk", "session_id": 3763, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "can u see the solution?", "session_id": 3763, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "can i show you my way", "session_id": 3763, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "sure", "session_id": 3763, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "the question says not to use the division algorithm right? that is why we do different method.", "session_id": 3763, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "im trying to solve", "session_id": 3763, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "ok no worries.", "session_id": 3763, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "like that", "session_id": 3763, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "yes it is similar to what i did u just combined step 1 nd 2. this is partial quotients", "session_id": 3763, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "but if u put it like this it seems like division algorithm so u can write it out as my way or ur way. upto u and how ur teacher showed u okay?", "session_id": 3763, "sequence_id": 47, "annotations": []}
{"role": "student", "content": "hi", "session_id": 3763, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "helo", "session_id": 3763, "sequence_id": 49, "annotations": []}
{"role": "student", "content": "oh", "session_id": 3763, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "can i help with anything else?", "session_id": 3763, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "yes", "session_id": 3763, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "sure share the ques", "session_id": 3763, "sequence_id": 53, "annotations": []}
{"role": "student", "content": "okk", "session_id": 3763, "sequence_id": 54, "annotations": []}
{"role": "student", "content": "sorry its loading", "session_id": 3763, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "no worries", "session_id": 3763, "sequence_id": 56, "annotations": []}
{"role": "student", "content": "there", "session_id": 3763, "sequence_id": 57, "annotations": []}
{"role": "student", "content": "is this drawing the model one", "session_id": 3763, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "which one?", "session_id": 3763, "sequence_id": 59, "annotations": []}
{"role": "student", "content": "that question", "session_id": 3763, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "no  we do simple subtraction because base is same", "session_id": 3763, "sequence_id": 61, "annotations": []}
{"role": "student", "content": "i get it", "session_id": 3763, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "yes answer is ryt", "session_id": 3763, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "can u shwo me your work", "session_id": 3763, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "was this all?", "session_id": 3763, "sequence_id": 65, "annotations": []}
{"role": "student", "content": "Hello! I want to do some practice problems from the PDF. Just a heads up I am terrible at Objective 15 so it will take some time. I was wondering if you could rewrite out the problem with different numbers but same format. Currently on Obj. 15 problem 1. Here's the link to the pdf: example.com/math_problems.pdf", "session_id": 8209, "sequence_id": 0, "annotations": [{"pii_type": "URL", "surrogate": "example.com/math_problems.pdf", "start": 283, "end": 312}]}
{"role": "volunteer", "content": "Liam", "session_id": 8209, "sequence_id": 1, "annotations": [{"pii_type": "PERSON", "surrogate": "Liam", "start": 0, "end": 4}]}
{"role": "volunteer", "content": "no problemo", "session_id": 8209, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "we got this!", "session_id": 8209, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "Alright!", "session_id": 8209, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "give me a second to copy the url", "session_id": 8209, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "Ok!", "session_id": 8209, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "example.com/problem_set.pdf", "session_id": 8209, "sequence_id": 7, "annotations": [{"pii_type": "URL", "surrogate": "example.com/problem_set.pdf", "start": 0, "end": 27}]}
{"role": "volunteer", "content": "is this correct?", "session_id": 8209, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "yes", "session_id": 8209, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "hmm", "session_id": 8209, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "it says file not found", "session_id": 8209, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "Sophia", "session_id": 8209, "sequence_id": 12, "annotations": [{"pii_type": "PERSON", "surrogate": "Sophia", "start": 0, "end": 6}]}
{"role": "student", "content": "try again", "session_id": 8209, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "yeah no", "session_id": 8209, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "hey Sarah!", "session_id": 2871, "sequence_id": 0, "annotations": [{"pii_type": "PERSON", "surrogate": "Sarah", "start": 4, "end": 9}]}
{"role": "student", "content": "Hello!", "session_id": 2871, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "how can i help you today?", "session_id": 2871, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "I need help with rounding", "session_id": 2871, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "Im not very good at it", "session_id": 2871, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "Alright. Do you need help with the whole concept, or are there specific questions you have that you're having trouble with?", "session_id": 2871, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "I have a few questions i need help with. Is that ok?", "session_id": 2871, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "That's great. Just paste them in or type them", "session_id": 2871, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "There!", "session_id": 2871, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "Hello", "session_id": 2871, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "Step 1: Identify the hundredth place. The hundredth place is the second digit after the decimal point. In 5.82, the digits after the decimal are 8 (tenths) and 2 (hundredths).", "session_id": 2871, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "Step 2: Look at the digit right after the hundredth place.", "session_id": 2871, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "What is it?", "session_id": 2871, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "3", "session_id": 2871, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "?", "session_id": 2871, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "Great job!", "session_id": 2871, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "This is called the thousandth place.", "session_id": 2871, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "Ohh okk", "session_id": 2871, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "Step 3: Decide whether to round up or keep the same. If the digit after the place you\u2019re rounding is 5 or more, you round the hundredth place up. If it is 4 or less, you keep the hundredth place the same", "session_id": 2871, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "The same?", "session_id": 2871, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "Correct!", "session_id": 2871, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "And when it's less than 5 not only does it stay the same, but all the digits after it drop. (you remove them)", "session_id": 2871, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "Step 4: Round the number. Since 3 is less than 5, the hundredth place stays 2, and all digits after it are dropped.", "session_id": 2871, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "Excellent Job!", "session_id": 2871, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "So the answer is?", "session_id": 2871, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "Thank youu!", "session_id": 2871, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "5.82", "session_id": 2871, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "Wonderful! Let me give you another one. What is 5.633 to the nearest hundreth?", "session_id": 2871, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "Um something is happening to my computer", "session_id": 2871, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "Oh ok. I can wait if you want while you try to fix the issue", "session_id": 2871, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "Ok Mark i will try to restart hopefully your still here", "session_id": 2871, "sequence_id": 30, "annotations": [{"pii_type": "PERSON", "surrogate": "Mark", "start": 3, "end": 7}]}
{"role": "volunteer", "content": "Counting on it!", "session_id": 2871, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "Hey Mark thank you so much for helping me but i have to go cause i just restarted my computer but its really overheated", "session_id": 2871, "sequence_id": 32, "annotations": [{"pii_type": "PERSON", "surrogate": "Mark", "start": 4, "end": 8}]}
{"role": "student", "content": "I have to get it checked out", "session_id": 2871, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "bye my teacher", "session_id": 2871, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "Oh of course! I hope you manage to get things sorted. Goodbye! And best of luck", "session_id": 2871, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "Thank you so much!", "session_id": 2871, "sequence_id": 36, "annotations": []}
{"role": "student", "content": ":)", "session_id": 2871, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "No problem at all!", "session_id": 2871, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "Hi, how can I help?", "session_id": 6009, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "H", "session_id": 6009, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "Hello I just wanted to know how this webiste works... I'm not that good in Geometry and really wat to improve my skilss", "session_id": 6009, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "skills", "session_id": 6009, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "And unfortuanatly for me,I'm in Honors so we go really fast", "session_id": 6009, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "Anytime you have a question, or you're working on an assignment/practice questions and you don't really understand, you can request for someone to help you how you did just now!", "session_id": 6009, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "A certified tutor will talk to you and you can ask them anything you don't understand and they'll guide you", "session_id": 6009, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "Oh i see! Wow okay thanks ill use this over break but im in school now so i have to go", "session_id": 6009, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "Goodbye! and thanks again", "session_id": 6009, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "alright! good luck!", "session_id": 6009, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "Hi", "session_id": 7810, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "Hi Leo, I'm Sarah, how can I help?", "session_id": 7810, "sequence_id": 1, "annotations": [{"pii_type": "PERSON", "surrogate": "Leo", "start": 3, "end": 6}, {"pii_type": "PERSON", "surrogate": "Sarah", "start": 12, "end": 17}]}
{"role": "student", "content": "Hi", "session_id": 7810, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "Sorry, I don't have a mic but I can hear you", "session_id": 7810, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "Oh ok need help", "session_id": 7810, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "Can you make a", "session_id": 7810, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "can you make a cushion", "session_id": 7810, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "Sure, on what topic?", "session_id": 7810, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "Question.", "session_id": 7810, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "Geometry.", "session_id": 7810, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "But what more specifically", "session_id": 7810, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "You make the question and then I answer the question.", "session_id": 7810, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "Like anything geometry related?", "session_id": 7810, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "Alright", "session_id": 7810, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "so there's a triangle with one angle measure of 50 degrees", "session_id": 7810, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "Can you show the first step how to do it?", "session_id": 7810, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "and another angle measure of 70", "session_id": 7810, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "what's the third?", "session_id": 7810, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "do you know what the angles in a triangle added up equal?", "session_id": 7810, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "hi", "session_id": 8310, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "Hello! Thank you for choosing EduAssist! What can I help with today?", "session_id": 8310, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "help anwers plase", "session_id": 8310, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "ok", "session_id": 8310, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "Does it make sense?", "session_id": 8310, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "yes", "session_id": 8310, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "yayy", "session_id": 8310, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "yapp", "session_id": 8310, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "so do weend sesion", "session_id": 8310, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "I'm sorry could you retype that?", "session_id": 8310, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "since you help me do my homework and i understand do i end session", "session_id": 8310, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "Ok sure", "session_id": 8310, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "thank u if you need any help go to session history and text me", "session_id": 8310, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "ok", "session_id": 8310, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "bye", "session_id": 8310, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "David", "session_id": 8310, "sequence_id": 15, "annotations": [{"pii_type": "PERSON", "surrogate": "David", "start": 0, "end": 5}]}
{"role": "volunteer", "content": "hi", "session_id": 12489, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "hello i have an extra ten minutes to review some complications for my test", "session_id": 12489, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "anything you want", "session_id": 12489, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "soo i really need like a process on how to answer this i can use a calculator but not a graphing one", "session_id": 12489, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "okay so i got these ones wrong but idk how to do them", "session_id": 12489, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "and i also was a little confused on discriminants", "session_id": 12489, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "have you uploaded the image?", "session_id": 12489, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "yes", "session_id": 12489, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "funny that i cant see anything", "session_id": 12489, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "let me try agajn", "session_id": 12489, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "it says processing again", "session_id": 12489, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "you can share the screen", "session_id": 12489, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "but it was (-4+17i)-(-14+9i) write the answer in standard form", "session_id": 12489, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "the options are", "session_id": 12489, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "10+8i", "session_id": 12489, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "ok how did you get that", "session_id": 12489, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "adding the real and imaginary part alone", "session_id": 12489, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "Alex", "session_id": 12489, "sequence_id": 17, "annotations": [{"pii_type": "PERSON", "surrogate": "Alex", "start": 0, "end": 4}]}
{"role": "student", "content": "and what if there\u2019s a number in front of the first ()", "session_id": 12489, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "like?", "session_id": 12489, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "i((-4+17i)-(-14+9i))?", "session_id": 12489, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "no like if it was a 11 infront", "session_id": 12489, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "of the first equation", "session_id": 12489, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "like 11(-4+17i) ?", "session_id": 12489, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "like 11(something)-(something)", "session_id": 12489, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "yes", "session_id": 12489, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "then it gets multiplied", "session_id": 12489, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "okk", "session_id": 12489, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "-44+187i -(-14+9i)", "session_id": 12489, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "Alex thank you", "session_id": 12489, "sequence_id": 29, "annotations": [{"pii_type": "PERSON", "surrogate": "Alex", "start": 0, "end": 4}]}
{"role": "student", "content": "can we go over simplifying radicals", "session_id": 12489, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "for this one?", "session_id": 12489, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "like something for example radical 2226", "session_id": 12489, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "no it\u2019s seperate", "session_id": 12489, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "i understand the converting to standard form now u js add like terms", "session_id": 12489, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "thank you so much", "session_id": 12489, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "i mean did you get it", "session_id": 12489, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "or i will give an easier example", "session_id": 12489, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "ohh", "session_id": 12489, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "so it would be 20- 178i", "session_id": 12489, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "for this one?", "session_id": 12489, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "yes", "session_id": 12489, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "for the example", "session_id": 12489, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "is that right", "session_id": 12489, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "wouldn't it be \u221230+178i", "session_id": 12489, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "but doesn\u2019t the - infront make the -14 to positive 14", "session_id": 12489, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "i have to go now", "session_id": 12489, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "thank you so much", "session_id": 12489, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "here", "session_id": 12489, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "get it?", "session_id": 12489, "sequence_id": 49, "annotations": []}
{"role": "student", "content": "hii", "session_id": 12390, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "hi", "session_id": 12390, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "one second", "session_id": 12390, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "can you hear me?", "session_id": 12390, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "Oh, hello", "session_id": 12390, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "OK, I hope you can hear me.", "session_id": 12390, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "no", "session_id": 12390, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "can you hear me", "session_id": 12390, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "Um", "session_id": 12390, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "my mic is on", "session_id": 12390, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "and it's like writing my words down.", "session_id": 12390, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "Did you like meet me on your side?", "session_id": 12390, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "Mute", "session_id": 12390, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "nope it says you have your mic off", "session_id": 12390, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "Oh, what", "session_id": 12390, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "Hello", "session_id": 12390, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "Hm.", "session_id": 12390, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "OK, let me, let me", "session_id": 12390, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "give me a second. Sorry.", "session_id": 12390, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "OK, can you hear me now", "session_id": 12390, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "Hello?", "session_id": 12390, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "nope", "session_id": 12390, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "Oh", "session_id": 12390, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "Um", "session_id": 12390, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "let me see", "session_id": 12390, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "Hello.", "session_id": 12390, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "cant hear you sorry", "session_id": 12390, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "Is this better", "session_id": 12390, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "Oh", "session_id": 12390, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "Why is it doing this", "session_id": 12390, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "I was just", "session_id": 12390, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "I was just working", "session_id": 12390, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "Is this", "session_id": 12390, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "idk", "session_id": 12390, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "wait, OK, you can you hear me now", "session_id": 12390, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "talk", "session_id": 12390, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "Hello?", "session_id": 12390, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "no", "session_id": 12390, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "No.", "session_id": 12390, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "um", "session_id": 12390, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "I don't, I don't know what to do.", "session_id": 12390, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "good  morning", "session_id": 12343, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "hii! sorry for the delay.", "session_id": 12343, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "good morniing", "session_id": 12343, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "How are you?", "session_id": 12343, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "i'm good. how are you?", "session_id": 12343, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "I'm good and hearty", "session_id": 12343, "sequence_id": 5, "annotations": [{"pii_type": "PERSON", "surrogate": "I'm good", "start": 0, "end": 8}]}
{"role": "volunteer", "content": "anything new?", "session_id": 12343, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "difficult questions?", "session_id": 12343, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "oh great!", "session_id": 12343, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 12343, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "i have few questions from multivariable", "session_id": 12343, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 12343, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "a min, i'll upload them", "session_id": 12343, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "this is the first question, I'll upload them as we solve bcuz we have limited space to write", "session_id": 12343, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 12343, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "OK. First step, I guess would be to calculate the individual, um, derivatives.", "session_id": 12343, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "So you get", "session_id": 12343, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "would be 2 X I'm sorry, that's not 2, it's 3.", "session_id": 12343, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "3 X squared minus 3YZ.", "session_id": 12343, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "over the", "session_id": 12343, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "say over you", "session_id": 12343, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "yeah, and then everything else would be the same too.", "session_id": 12343, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "Why do we speak", "session_id": 12343, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "3 Y squared minus", "session_id": 12343, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "I count 3.", "session_id": 12343, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "XZ over U.", "session_id": 12343, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "And then same for", "session_id": 12343, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "Z", "session_id": 12343, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "it be 3 times Z squared minus 3XY.", "session_id": 12343, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "over you", "session_id": 12343, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "So then you get", "session_id": 12343, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "you pull out 3", "session_id": 12343, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "squared, you get 9.", "session_id": 12343, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "Um", "session_id": 12343, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "yeah, it'd be everything over you", "session_id": 12343, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "I'm skipping a couple steps. I don't know if you're still following", "session_id": 12343, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "Mm.", "session_id": 12343, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "I can't hear you voice.", "session_id": 12343, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "Am I not speaking loud enough?", "session_id": 12343, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "Or just my", "session_id": 12343, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "is your volume too low", "session_id": 12343, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "It is kinda breaking", "session_id": 12343, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "OK, let me see if I can adjust.", "session_id": 12343, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "my mic", "session_id": 12343, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "See if that's it", "session_id": 12343, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "Am I clear now", "session_id": 12343, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "it just sounded better", "session_id": 12343, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "Clear. Clear", "session_id": 12343, "sequence_id": 47, "annotations": []}
{"role": "student", "content": "yeah, clear", "session_id": 12343, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 12343, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "So I've broken it down into this form.", "session_id": 12343, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "I've gotten, we've, we've gotten the 9", "session_id": 12343, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "Now it's figuring out how to express.", "session_id": 12343, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "this", "session_id": 12343, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "in terms of", "session_id": 12343, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "2, if I did you squared, it'd be 2 log.", "session_id": 12343, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "X cube", "session_id": 12343, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "I mean", "session_id": 12343, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "if we broke you up, I don't know how this would help, but it'd be like 3 log X.", "session_id": 12343, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "plus, oh no, I can't, right, it's not multiplication.", "session_id": 12343, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "So um", "session_id": 12343, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "if I were to express this out, let's just call this.", "session_id": 12343, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "um a", "session_id": 12343, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "you know, left with 9.", "session_id": 12343, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "A squad over.", "session_id": 12343, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "U", "session_id": 12343, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "and they're saying", "session_id": 12343, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "that", "session_id": 12343, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "X over u", "session_id": 12343, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "I'm sorry", "session_id": 12343, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 12343, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "is equal to", "session_id": 12343, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "-1 over", "session_id": 12343, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "X + Y + Z", "session_id": 12343, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "2", "session_id": 12343, "sequence_id": 74, "annotations": []}
{"role": "volunteer", "content": "I feel like we're missing.", "session_id": 12343, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "um either a 2 or something in these X, Y, XZ terms.", "session_id": 12343, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "Actually, no", "session_id": 12343, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "I, what is X + Y + Z.", "session_id": 12343, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "is X squared + XY + XZ.", "session_id": 12343, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "+", "session_id": 12343, "sequence_id": 80, "annotations": []}
{"role": "volunteer", "content": "Z squared", "session_id": 12343, "sequence_id": 81, "annotations": []}
{"role": "student", "content": "did you get \"u\" in denominator?", "session_id": 12343, "sequence_id": 82, "annotations": []}
{"role": "volunteer", "content": "+", "session_id": 12343, "sequence_id": 83, "annotations": []}
{"role": "volunteer", "content": "YZ", "session_id": 12343, "sequence_id": 84, "annotations": []}
{"role": "volunteer", "content": "+", "session_id": 12343, "sequence_id": 85, "annotations": []}
{"role": "volunteer", "content": "I did get you in the denominator.", "session_id": 12343, "sequence_id": 86, "annotations": []}
{"role": "volunteer", "content": "I feel like there should be a minus sign somewhere.", "session_id": 12343, "sequence_id": 87, "annotations": []}
{"role": "student", "content": "how*", "session_id": 12343, "sequence_id": 88, "annotations": []}
{"role": "student", "content": "HOw did you get it?", "session_id": 12343, "sequence_id": 89, "annotations": []}
{"role": "volunteer", "content": "Yeah, why did I get you a nominator?", "session_id": 12343, "sequence_id": 90, "annotations": []}
{"role": "volunteer", "content": "It should have been X-cubed. Oh yeah, I just, I didn't wanna write everything out. So it just be you without the log.", "session_id": 12343, "sequence_id": 91, "annotations": []}
{"role": "volunteer", "content": "That's what I did wrong, good call", "session_id": 12343, "sequence_id": 92, "annotations": []}
{"role": "volunteer", "content": "It just be that XQ YQ ZQ.", "session_id": 12343, "sequence_id": 93, "annotations": []}
{"role": "student", "content": "oh, you took it as u", "session_id": 12343, "sequence_id": 94, "annotations": []}
{"role": "volunteer", "content": "I'm, I'm gonna say that's U.", "session_id": 12343, "sequence_id": 95, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 12343, "sequence_id": 96, "annotations": []}
{"role": "volunteer", "content": "Let's see, Xcubed.", "session_id": 12343, "sequence_id": 97, "annotations": []}
{"role": "volunteer", "content": "plus Y cued + ZQ", "session_id": 12343, "sequence_id": 98, "annotations": []}
{"role": "volunteer", "content": "minus 3 XYZ", "session_id": 12343, "sequence_id": 99, "annotations": []}
{"role": "volunteer", "content": "Let me just call that", "session_id": 12343, "sequence_id": 100, "annotations": []}
{"role": "volunteer", "content": "B, because that's a lot.", "session_id": 12343, "sequence_id": 101, "annotations": []}
{"role": "volunteer", "content": "and this is just B", "session_id": 12343, "sequence_id": 102, "annotations": []}
{"role": "volunteer", "content": "and this is B", "session_id": 12343, "sequence_id": 103, "annotations": []}
{"role": "student", "content": "it's fine. Mr. Smith don't have to write whole thing", "session_id": 12343, "sequence_id": 104, "annotations": [{"pii_type": "PERSON", "surrogate": "Mr. Smith", "start": 11, "end": 20}]}
{"role": "volunteer", "content": "So then", "session_id": 12343, "sequence_id": 105, "annotations": []}
{"role": "volunteer", "content": "so then this", "session_id": 12343, "sequence_id": 106, "annotations": []}
{"role": "volunteer", "content": "becomes", "session_id": 12343, "sequence_id": 107, "annotations": []}
{"role": "volunteer", "content": "9", "session_id": 12343, "sequence_id": 108, "annotations": []}
{"role": "volunteer", "content": "I think what they're saying is", "session_id": 12343, "sequence_id": 109, "annotations": []}
{"role": "volunteer", "content": "this numerator.", "session_id": 12343, "sequence_id": 110, "annotations": []}
{"role": "volunteer", "content": "is a factor", "session_id": 12343, "sequence_id": 111, "annotations": []}
{"role": "volunteer", "content": "of the denominator", "session_id": 12343, "sequence_id": 112, "annotations": []}
{"role": "student", "content": "I didn't understand one thing", "session_id": 12343, "sequence_id": 113, "annotations": []}
{"role": "volunteer", "content": "Yeah, go ahead.", "session_id": 12343, "sequence_id": 114, "annotations": []}
{"role": "student", "content": "you add all of them and square them right?", "session_id": 12343, "sequence_id": 115, "annotations": []}
{"role": "volunteer", "content": "Yeah, I added them all up. I, I, I have the quantity squared there. I didn't actually finish squaring them yet.", "session_id": 12343, "sequence_id": 116, "annotations": []}
{"role": "volunteer", "content": "cause they all have the same denominator. I just threw them all together in the numerator.", "session_id": 12343, "sequence_id": 117, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 12343, "sequence_id": 118, "annotations": []}
{"role": "volunteer", "content": "DUDZ", "session_id": 12343, "sequence_id": 119, "annotations": []}
{"role": "student", "content": "then how did you get u out of it?", "session_id": 12343, "sequence_id": 120, "annotations": []}
{"role": "volunteer", "content": "I just wrote it back into the equation.", "session_id": 12343, "sequence_id": 121, "annotations": []}
{"role": "volunteer", "content": "Right, cause they multiply it by you.", "session_id": 12343, "sequence_id": 122, "annotations": []}
{"role": "volunteer", "content": "And I also um", "session_id": 12343, "sequence_id": 123, "annotations": []}
{"role": "volunteer", "content": "each each derivative has a fact as a coefficient of 3.", "session_id": 12343, "sequence_id": 124, "annotations": []}
{"role": "volunteer", "content": "So I just factored 3 out, but because of it's one of it's because it's quantity squared.", "session_id": 12343, "sequence_id": 125, "annotations": []}
{"role": "volunteer", "content": "32 is 9.", "session_id": 12343, "sequence_id": 126, "annotations": []}
{"role": "volunteer", "content": "And then I just left you on the outside.", "session_id": 12343, "sequence_id": 127, "annotations": []}
{"role": "student", "content": "yeah, I understand how we'll factor out 3 but i don't get \"u\"", "session_id": 12343, "sequence_id": 128, "annotations": []}
{"role": "volunteer", "content": "Well, you is what they give.", "session_id": 12343, "sequence_id": 129, "annotations": []}
{"role": "volunteer", "content": "right? They have that whole quantity squared.", "session_id": 12343, "sequence_id": 130, "annotations": []}
{"role": "volunteer", "content": "The sum of the derivatives", "session_id": 12343, "sequence_id": 131, "annotations": []}
{"role": "volunteer", "content": "quantity squared times u", "session_id": 12343, "sequence_id": 132, "annotations": []}
{"role": "volunteer", "content": "is equal to the right-hand side. So that's why I put, I got the U from", "session_id": 12343, "sequence_id": 133, "annotations": []}
{"role": "student", "content": "means, we didn't factor it out, it multiplied it bcuz we told to do so?", "session_id": 12343, "sequence_id": 134, "annotations": []}
{"role": "volunteer", "content": "Yeah, that's what the problem is asking for.", "session_id": 12343, "sequence_id": 135, "annotations": []}
{"role": "volunteer", "content": "Here, I can, I can do a couple of steps.", "session_id": 12343, "sequence_id": 136, "annotations": []}
{"role": "volunteer", "content": "So", "session_id": 12343, "sequence_id": 137, "annotations": []}
{"role": "volunteer", "content": "this is what they want us to solve.", "session_id": 12343, "sequence_id": 138, "annotations": []}
{"role": "volunteer", "content": "or to prove", "session_id": 12343, "sequence_id": 139, "annotations": []}
{"role": "volunteer", "content": "So all I did was just take each individual derivative", "session_id": 12343, "sequence_id": 140, "annotations": []}
{"role": "volunteer", "content": "um, add them up, add them up quantity squared times u.", "session_id": 12343, "sequence_id": 141, "annotations": []}
{"role": "volunteer", "content": "Right? Cause that's what the problem, the problem is asking us to show", "session_id": 12343, "sequence_id": 142, "annotations": []}
{"role": "volunteer", "content": "that the sum of derivatives quantity squared times u", "session_id": 12343, "sequence_id": 143, "annotations": []}
{"role": "volunteer", "content": "is equal to", "session_id": 12343, "sequence_id": 144, "annotations": []}
{"role": "volunteer", "content": "that right-hand side.", "session_id": 12343, "sequence_id": 145, "annotations": []}
{"role": "student", "content": "right", "session_id": 12343, "sequence_id": 146, "annotations": []}
{"role": "student", "content": "I thought, we have to figure everything out", "session_id": 12343, "sequence_id": 147, "annotations": []}
{"role": "student", "content": "got it!", "session_id": 12343, "sequence_id": 148, "annotations": []}
{"role": "volunteer", "content": "Oh, I see what you're saying", "session_id": 12343, "sequence_id": 149, "annotations": []}
{"role": "volunteer", "content": "It's supposed to be of you.", "session_id": 12343, "sequence_id": 150, "annotations": []}
{"role": "volunteer", "content": "So I don't think you're right. I don't think we, I don't think we do need to multiply by you. I'm, I misread that. I thought it was DU. It just says", "session_id": 12343, "sequence_id": 151, "annotations": []}
{"role": "volunteer", "content": "some of the derivatives. So we have to prove that the sum of all derivatives", "session_id": 12343, "sequence_id": 152, "annotations": []}
{"role": "volunteer", "content": "of you", "session_id": 12343, "sequence_id": 153, "annotations": []}
{"role": "volunteer", "content": "is equal to", "session_id": 12343, "sequence_id": 154, "annotations": []}
{"role": "volunteer", "content": "you're right, we don't need you", "session_id": 12343, "sequence_id": 155, "annotations": []}
{"role": "volunteer", "content": "So we just have to prove that the numerator.", "session_id": 12343, "sequence_id": 156, "annotations": []}
{"role": "volunteer", "content": "is", "session_id": 12343, "sequence_id": 157, "annotations": []}
{"role": "volunteer", "content": "a", "session_id": 12343, "sequence_id": 158, "annotations": []}
{"role": "volunteer", "content": "factor of B", "session_id": 12343, "sequence_id": 159, "annotations": []}
{"role": "volunteer", "content": "to get it all to cancel", "session_id": 12343, "sequence_id": 160, "annotations": []}
{"role": "volunteer", "content": "to leave us with X + Y + Z quantity squared.", "session_id": 12343, "sequence_id": 161, "annotations": []}
{"role": "student", "content": "i was initially confused, when iwas doing by myself, bcuz they didn't write who to differentiate", "session_id": 12343, "sequence_id": 162, "annotations": []}
{"role": "student", "content": "yeah, right", "session_id": 12343, "sequence_id": 163, "annotations": []}
{"role": "volunteer", "content": "Yeah, I", "session_id": 12343, "sequence_id": 164, "annotations": []}
{"role": "volunteer", "content": "I don't know why I didn't catch that. I just kind of just started ramming through the problem.", "session_id": 12343, "sequence_id": 165, "annotations": []}
{"role": "volunteer", "content": "But you're right", "session_id": 12343, "sequence_id": 166, "annotations": []}
{"role": "volunteer", "content": "We don't need you on the other side of it because it's supposed to be.", "session_id": 12343, "sequence_id": 167, "annotations": []}
{"role": "volunteer", "content": "at least I, actually, now you got me a second thing, second guessing. Let me double check and see where I can.", "session_id": 12343, "sequence_id": 168, "annotations": []}
{"role": "volunteer", "content": "um,", "session_id": 12343, "sequence_id": 169, "annotations": []}
{"role": "student", "content": "we can't really seperate \"u\" from the addition", "session_id": 12343, "sequence_id": 170, "annotations": []}
{"role": "student", "content": "and particularly get, \"u\"", "session_id": 12343, "sequence_id": 171, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 12343, "sequence_id": 172, "annotations": []}
{"role": "volunteer", "content": "we can't", "session_id": 12343, "sequence_id": 173, "annotations": []}
{"role": "volunteer", "content": "cause we're left with what's on the inside, which is", "session_id": 12343, "sequence_id": 174, "annotations": []}
{"role": "volunteer", "content": "that whole, um, I, I just defined it as B.", "session_id": 12343, "sequence_id": 175, "annotations": []}
{"role": "volunteer", "content": "Mm.", "session_id": 12343, "sequence_id": 176, "annotations": []}
{"role": "student", "content": "it'll get very messy even if we try to seperate u^2", "session_id": 12343, "sequence_id": 177, "annotations": []}
{"role": "volunteer", "content": "Well, I think we can", "session_id": 12343, "sequence_id": 178, "annotations": []}
{"role": "volunteer", "content": "even if we try to mess up rate u.", "session_id": 12343, "sequence_id": 179, "annotations": []}
{"role": "volunteer", "content": "I'm wondering if we just do long division.", "session_id": 12343, "sequence_id": 180, "annotations": []}
{"role": "volunteer", "content": "cause we have two polynomials are multivariable polynomials.", "session_id": 12343, "sequence_id": 181, "annotations": []}
{"role": "volunteer", "content": "right", "session_id": 12343, "sequence_id": 182, "annotations": []}
{"role": "volunteer", "content": "Um", "session_id": 12343, "sequence_id": 183, "annotations": []}
{"role": "volunteer", "content": "9", "session_id": 12343, "sequence_id": 184, "annotations": []}
{"role": "volunteer", "content": "Well, we can kind of get rid of the 9. We're just trying to figure out how to get that negative", "session_id": 12343, "sequence_id": 185, "annotations": []}
{"role": "volunteer", "content": "X + Y + Z", "session_id": 12343, "sequence_id": 186, "annotations": []}
{"role": "volunteer", "content": "2 squared. Actually, if we distribute that negative to the denominator, which is what's probably gonna happen.", "session_id": 12343, "sequence_id": 187, "annotations": []}
{"role": "volunteer", "content": "The right-hand side.", "session_id": 12343, "sequence_id": 188, "annotations": []}
{"role": "volunteer", "content": "I'm, I'm gonna take a look at that right-hand side. So I'm gonna just say left-hand side.", "session_id": 12343, "sequence_id": 189, "annotations": []}
{"role": "volunteer", "content": "and then we have uh 9 over if we expand that denominator, we get negative, X squared.", "session_id": 12343, "sequence_id": 190, "annotations": []}
{"role": "volunteer", "content": "+", "session_id": 12343, "sequence_id": 191, "annotations": []}
{"role": "volunteer", "content": "XY + XZ + Y squared + YZ + Z squared.", "session_id": 12343, "sequence_id": 192, "annotations": []}
{"role": "volunteer", "content": "which", "session_id": 12343, "sequence_id": 193, "annotations": []}
{"role": "volunteer", "content": "kind of looks like the numerator.", "session_id": 12343, "sequence_id": 194, "annotations": []}
{"role": "volunteer", "content": "Let me write out the numerator.", "session_id": 12343, "sequence_id": 195, "annotations": []}
{"role": "volunteer", "content": "Um.", "session_id": 12343, "sequence_id": 196, "annotations": []}
{"role": "volunteer", "content": "which was, uh, the sum of all of the", "session_id": 12343, "sequence_id": 197, "annotations": []}
{"role": "volunteer", "content": "derivatives are factored 9 so we get X squared", "session_id": 12343, "sequence_id": 198, "annotations": []}
{"role": "volunteer", "content": "+ Y squared + Z squared.", "session_id": 12343, "sequence_id": 199, "annotations": []}
{"role": "volunteer", "content": "minus XY minus XZ 2 minus YZ. There we go.", "session_id": 12343, "sequence_id": 200, "annotations": []}
{"role": "volunteer", "content": "all over", "session_id": 12343, "sequence_id": 201, "annotations": []}
{"role": "volunteer", "content": "B", "session_id": 12343, "sequence_id": 202, "annotations": []}
{"role": "volunteer", "content": "Cause to be honest, that numerator might just look like um", "session_id": 12343, "sequence_id": 203, "annotations": []}
{"role": "volunteer", "content": "X minus Y minus", "session_id": 12343, "sequence_id": 204, "annotations": []}
{"role": "volunteer", "content": "Z", "session_id": 12343, "sequence_id": 205, "annotations": []}
{"role": "volunteer", "content": "There's gotta be at least one", "session_id": 12343, "sequence_id": 206, "annotations": []}
{"role": "volunteer", "content": "that's negative", "session_id": 12343, "sequence_id": 207, "annotations": []}
{"role": "volunteer", "content": "unless we plus minus.", "session_id": 12343, "sequence_id": 208, "annotations": []}
{"role": "volunteer", "content": "something", "session_id": 12343, "sequence_id": 209, "annotations": []}
{"role": "student", "content": "I wrote the identity for (a+b+c)^2", "session_id": 12343, "sequence_id": 210, "annotations": []}
{"role": "volunteer", "content": "Yeah, 2 AB 2 BC, 2 CA. Yeah.", "session_id": 12343, "sequence_id": 211, "annotations": []}
{"role": "volunteer", "content": "Oh, missing a two sign.", "session_id": 12343, "sequence_id": 212, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 12343, "sequence_id": 213, "annotations": []}
{"role": "volunteer", "content": "Oh yeah, you're right. And then they break it down. I was, I was thinking about that. I was like, I see.", "session_id": 12343, "sequence_id": 214, "annotations": []}
{"role": "volunteer", "content": "too simple", "session_id": 12343, "sequence_id": 215, "annotations": []}
{"role": "volunteer", "content": "uh, to, to", "session_id": 12343, "sequence_id": 216, "annotations": []}
{"role": "volunteer", "content": "2.", "session_id": 12343, "sequence_id": 217, "annotations": []}
{"role": "volunteer", "content": "Well that numerator, we might be able to", "session_id": 12343, "sequence_id": 218, "annotations": []}
{"role": "volunteer", "content": "um plus minus at the top.", "session_id": 12343, "sequence_id": 219, "annotations": []}
{"role": "volunteer", "content": "cause if we add another", "session_id": 12343, "sequence_id": 220, "annotations": []}
{"role": "volunteer", "content": "or a negative XY XZ YZ", "session_id": 12343, "sequence_id": 221, "annotations": []}
{"role": "volunteer", "content": "we would get", "session_id": 12343, "sequence_id": 222, "annotations": []}
{"role": "volunteer", "content": "we would get what X?", "session_id": 12343, "sequence_id": 223, "annotations": []}
{"role": "volunteer", "content": "minus", "session_id": 12343, "sequence_id": 224, "annotations": []}
{"role": "volunteer", "content": "Y minus Z squad.", "session_id": 12343, "sequence_id": 225, "annotations": []}
{"role": "volunteer", "content": "No", "session_id": 12343, "sequence_id": 226, "annotations": []}
{"role": "volunteer", "content": "can't have all the signs looking the same.", "session_id": 12343, "sequence_id": 227, "annotations": []}
{"role": "student", "content": "but we don't have 2?", "session_id": 12343, "sequence_id": 228, "annotations": []}
{"role": "volunteer", "content": "or not the same", "session_id": 12343, "sequence_id": 229, "annotations": []}
{"role": "volunteer", "content": "Well, that's what I was saying. If we were to um", "session_id": 12343, "sequence_id": 230, "annotations": []}
{"role": "volunteer", "content": "add", "session_id": 12343, "sequence_id": 231, "annotations": []}
{"role": "volunteer", "content": "negative XY.", "session_id": 12343, "sequence_id": 232, "annotations": []}
{"role": "volunteer", "content": "XC", "session_id": 12343, "sequence_id": 233, "annotations": []}
{"role": "volunteer", "content": "Y Z", "session_id": 12343, "sequence_id": 234, "annotations": []}
{"role": "volunteer", "content": "plus XY + XZ", "session_id": 12343, "sequence_id": 235, "annotations": []}
{"role": "volunteer", "content": "+ YZ", "session_id": 12343, "sequence_id": 236, "annotations": []}
{"role": "volunteer", "content": "in the numerator", "session_id": 12343, "sequence_id": 237, "annotations": []}
{"role": "volunteer", "content": "then we would, we would get", "session_id": 12343, "sequence_id": 238, "annotations": []}
{"role": "volunteer", "content": "um", "session_id": 12343, "sequence_id": 239, "annotations": []}
{"role": "volunteer", "content": "you know, that 22 XY 2 YZ 2, and then you'll be able to factor it that way.", "session_id": 12343, "sequence_id": 240, "annotations": []}
{"role": "volunteer", "content": "I mean, we'd still be left with this term.", "session_id": 12343, "sequence_id": 241, "annotations": []}
{"role": "volunteer", "content": "over B", "session_id": 12343, "sequence_id": 242, "annotations": []}
{"role": "student", "content": "oh", "session_id": 12343, "sequence_id": 243, "annotations": []}
{"role": "student", "content": "yeah right", "session_id": 12343, "sequence_id": 244, "annotations": []}
{"role": "volunteer", "content": "right? I was just, I guess I was just trying to complete the square.", "session_id": 12343, "sequence_id": 245, "annotations": []}
{"role": "volunteer", "content": "with the middle terms", "session_id": 12343, "sequence_id": 246, "annotations": []}
{"role": "volunteer", "content": "Mm", "session_id": 12343, "sequence_id": 247, "annotations": []}
{"role": "volunteer", "content": "I don't think that would work.", "session_id": 12343, "sequence_id": 248, "annotations": []}
{"role": "volunteer", "content": "It's really trying to figure out", "session_id": 12343, "sequence_id": 249, "annotations": []}
{"role": "volunteer", "content": "how does this", "session_id": 12343, "sequence_id": 250, "annotations": []}
{"role": "volunteer", "content": "oh, another thing I'm realizing.", "session_id": 12343, "sequence_id": 251, "annotations": []}
{"role": "volunteer", "content": "is", "session_id": 12343, "sequence_id": 252, "annotations": []}
{"role": "volunteer", "content": "this squared term.", "session_id": 12343, "sequence_id": 253, "annotations": []}
{"role": "volunteer", "content": "is what gives us this squared term.", "session_id": 12343, "sequence_id": 254, "annotations": []}
{"role": "volunteer", "content": "So what I think is", "session_id": 12343, "sequence_id": 255, "annotations": []}
{"role": "volunteer", "content": "that this um X + Y + Z.", "session_id": 12343, "sequence_id": 256, "annotations": []}
{"role": "volunteer", "content": "by itself", "session_id": 12343, "sequence_id": 257, "annotations": []}
{"role": "volunteer", "content": "is a factor of the denominator.", "session_id": 12343, "sequence_id": 258, "annotations": []}
{"role": "volunteer", "content": "It's just a matter of figuring out how to", "session_id": 12343, "sequence_id": 259, "annotations": []}
{"role": "volunteer", "content": "long divide the numerator.", "session_id": 12343, "sequence_id": 260, "annotations": []}
{"role": "volunteer", "content": "Because I feel like the numerator", "session_id": 12343, "sequence_id": 261, "annotations": []}
{"role": "volunteer", "content": "is, is gonna be one of those like", "session_id": 12343, "sequence_id": 262, "annotations": []}
{"role": "volunteer", "content": "X + 1.", "session_id": 12343, "sequence_id": 263, "annotations": []}
{"role": "volunteer", "content": "or yeah, like X minus 1.", "session_id": 12343, "sequence_id": 264, "annotations": []}
{"role": "volunteer", "content": "I'm sorry, the denominator, X squared + X + 1.", "session_id": 12343, "sequence_id": 265, "annotations": []}
{"role": "volunteer", "content": "right?", "session_id": 12343, "sequence_id": 266, "annotations": []}
{"role": "volunteer", "content": "Where you have this long form that can be factored anymore in a simple one, like, that'll give you a third degree", "session_id": 12343, "sequence_id": 267, "annotations": []}
{"role": "volunteer", "content": "polynomial", "session_id": 12343, "sequence_id": 268, "annotations": []}
{"role": "volunteer", "content": "I'm thinking that numerator", "session_id": 12343, "sequence_id": 269, "annotations": []}
{"role": "volunteer", "content": "because it can't be factored", "session_id": 12343, "sequence_id": 270, "annotations": []}
{"role": "volunteer", "content": "is that expression, and we'll probably have something like X + Y + Z.", "session_id": 12343, "sequence_id": 271, "annotations": []}
{"role": "volunteer", "content": "times that numerator", "session_id": 12343, "sequence_id": 272, "annotations": []}
{"role": "volunteer", "content": "XY XZ minus YZ", "session_id": 12343, "sequence_id": 273, "annotations": []}
{"role": "volunteer", "content": "is equal to B", "session_id": 12343, "sequence_id": 274, "annotations": []}
{"role": "volunteer", "content": "I'm thinking that's what it is", "session_id": 12343, "sequence_id": 275, "annotations": []}
{"role": "volunteer", "content": "Where B is that like X cube plus y cubed + Z cubed.", "session_id": 12343, "sequence_id": 276, "annotations": []}
{"role": "volunteer", "content": "minus 3 XYZ.", "session_id": 12343, "sequence_id": 277, "annotations": []}
{"role": "volunteer", "content": "Sorry, I write it a little quick, it's a sloppy.", "session_id": 12343, "sequence_id": 278, "annotations": []}
{"role": "volunteer", "content": "But I'm thinking it's gonna be a long division problem like that.", "session_id": 12343, "sequence_id": 279, "annotations": []}
{"role": "student", "content": "is it like that one exercise of integration, where we perform long division to integrate?", "session_id": 12343, "sequence_id": 280, "annotations": []}
{"role": "volunteer", "content": "Um, long division, I was probably um", "session_id": 12343, "sequence_id": 281, "annotations": []}
{"role": "volunteer", "content": "the only time I can think of long division is when we're doing partial fractions.", "session_id": 12343, "sequence_id": 282, "annotations": []}
{"role": "student", "content": "due to improper fraction", "session_id": 12343, "sequence_id": 283, "annotations": []}
{"role": "volunteer", "content": "Yeah, improper fraction. That's what, oh my gosh, you're doing better than me. I completely forgot about improper fraction. Where is that? That was chapter.", "session_id": 12343, "sequence_id": 284, "annotations": []}
{"role": "volunteer", "content": "Mhm", "session_id": 12343, "sequence_id": 285, "annotations": []}
{"role": "student", "content": "7", "session_id": 12343, "sequence_id": 286, "annotations": []}
{"role": "volunteer", "content": "Was that before or after?", "session_id": 12343, "sequence_id": 287, "annotations": []}
{"role": "volunteer", "content": "Uh.", "session_id": 12343, "sequence_id": 288, "annotations": []}
{"role": "student", "content": "before 7.6", "session_id": 12343, "sequence_id": 289, "annotations": []}
{"role": "student", "content": "i think 7.5", "session_id": 12343, "sequence_id": 290, "annotations": []}
{"role": "volunteer", "content": "before 7.6. Yeah, so before we get to definite integrals, I'm looking at", "session_id": 12343, "sequence_id": 291, "annotations": []}
{"role": "volunteer", "content": "let me toss up the textbook.", "session_id": 12343, "sequence_id": 292, "annotations": []}
{"role": "volunteer", "content": "So I'm looking at the partial fractions", "session_id": 12343, "sequence_id": 293, "annotations": []}
{"role": "volunteer", "content": "Oops, I don't know why I went to the partner.", "session_id": 12343, "sequence_id": 294, "annotations": []}
{"role": "volunteer", "content": "Probably gonna be something like.", "session_id": 12343, "sequence_id": 295, "annotations": []}
{"role": "volunteer", "content": "like this", "session_id": 12343, "sequence_id": 296, "annotations": []}
{"role": "volunteer", "content": "But that's what I was talking about", "session_id": 12343, "sequence_id": 297, "annotations": []}
{"role": "volunteer", "content": "where we're gonna have something like", "session_id": 12343, "sequence_id": 298, "annotations": []}
{"role": "volunteer", "content": "like the X minus A term, which is probably what's going to be the X + Y + Z.", "session_id": 12343, "sequence_id": 299, "annotations": []}
{"role": "volunteer", "content": "with a negative sign. It looks like", "session_id": 12343, "sequence_id": 300, "annotations": []}
{"role": "volunteer", "content": "um", "session_id": 12343, "sequence_id": 301, "annotations": []}
{"role": "volunteer", "content": "quantity, actually, how are we gonna have the negative sign if it's quantity squared.", "session_id": 12343, "sequence_id": 302, "annotations": []}
{"role": "volunteer", "content": "That'll, that'll be", "session_id": 12343, "sequence_id": 303, "annotations": []}
{"role": "volunteer", "content": "TBA", "session_id": 12343, "sequence_id": 304, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 12343, "sequence_id": 305, "annotations": []}
{"role": "volunteer", "content": "Yeah, that's something I didn't, I didn't think about it looking at the problem, but", "session_id": 12343, "sequence_id": 306, "annotations": []}
{"role": "volunteer", "content": "how do you have a negative sign out of a square.", "session_id": 12343, "sequence_id": 307, "annotations": []}
{"role": "volunteer", "content": "Unless it's the whole expanded thing.", "session_id": 12343, "sequence_id": 308, "annotations": []}
{"role": "volunteer", "content": "times and that's the whole thing is negative.", "session_id": 12343, "sequence_id": 309, "annotations": []}
{"role": "volunteer", "content": "Cause technically we could", "session_id": 12343, "sequence_id": 310, "annotations": []}
{"role": "volunteer", "content": "like I don't know if we can pull a negative out in the beginning.", "session_id": 12343, "sequence_id": 311, "annotations": []}
{"role": "volunteer", "content": "Like if I were to factor out a negative", "session_id": 12343, "sequence_id": 312, "annotations": []}
{"role": "volunteer", "content": "3", "session_id": 12343, "sequence_id": 313, "annotations": []}
{"role": "volunteer", "content": "you know, the, but the 9 comes from the 3 squared.", "session_id": 12343, "sequence_id": 314, "annotations": []}
{"role": "volunteer", "content": "All right, it's OK. We can figure this out", "session_id": 12343, "sequence_id": 315, "annotations": []}
{"role": "volunteer", "content": "No panicking.", "session_id": 12343, "sequence_id": 316, "annotations": []}
{"role": "volunteer", "content": "All right, well", "session_id": 12343, "sequence_id": 317, "annotations": []}
{"role": "volunteer", "content": "I'm gonna just say", "session_id": 12343, "sequence_id": 318, "annotations": []}
{"role": "volunteer", "content": "step one was the", "session_id": 12343, "sequence_id": 319, "annotations": []}
{"role": "volunteer", "content": "X cubed", "session_id": 12343, "sequence_id": 320, "annotations": []}
{"role": "volunteer", "content": "term we're trying to get rid of", "session_id": 12343, "sequence_id": 321, "annotations": []}
{"role": "volunteer", "content": "which comes from X. So we'd have", "session_id": 12343, "sequence_id": 322, "annotations": []}
{"role": "volunteer", "content": "XQ + YQ + Z minus 3 XYZ.", "session_id": 12343, "sequence_id": 323, "annotations": []}
{"role": "volunteer", "content": "times minus", "session_id": 12343, "sequence_id": 324, "annotations": []}
{"role": "volunteer", "content": "X cubed", "session_id": 12343, "sequence_id": 325, "annotations": []}
{"role": "volunteer", "content": "plus XY2.", "session_id": 12343, "sequence_id": 326, "annotations": []}
{"role": "volunteer", "content": "+ XZ2", "session_id": 12343, "sequence_id": 327, "annotations": []}
{"role": "volunteer", "content": "minus X2Y minus X2Z.", "session_id": 12343, "sequence_id": 328, "annotations": []}
{"role": "volunteer", "content": "minus", "session_id": 12343, "sequence_id": 329, "annotations": []}
{"role": "volunteer", "content": "Y", "session_id": 12343, "sequence_id": 330, "annotations": []}
{"role": "volunteer", "content": "X Y Z.", "session_id": 12343, "sequence_id": 331, "annotations": []}
{"role": "volunteer", "content": "So the X cubed cancel may change colors because we are very chromatic people.", "session_id": 12343, "sequence_id": 332, "annotations": []}
{"role": "volunteer", "content": "cus cancel", "session_id": 12343, "sequence_id": 333, "annotations": []}
{"role": "volunteer", "content": "and then we're a bunch with them", "session_id": 12343, "sequence_id": 334, "annotations": []}
{"role": "volunteer", "content": "The only thing that changes is this XYZ term.", "session_id": 12343, "sequence_id": 335, "annotations": []}
{"role": "volunteer", "content": "So that's the two, this goes to a 2, yeah, 2 + 1.", "session_id": 12343, "sequence_id": 336, "annotations": []}
{"role": "volunteer", "content": "and this disappears", "session_id": 12343, "sequence_id": 337, "annotations": []}
{"role": "volunteer", "content": "Everything else stays, so we're left with Y cubed plus Z cub minus 2 XYZ.", "session_id": 12343, "sequence_id": 338, "annotations": []}
{"role": "volunteer", "content": "minus XY.", "session_id": 12343, "sequence_id": 339, "annotations": []}
{"role": "volunteer", "content": "uh squared.", "session_id": 12343, "sequence_id": 340, "annotations": []}
{"role": "volunteer", "content": "minus", "session_id": 12343, "sequence_id": 341, "annotations": []}
{"role": "volunteer", "content": "XZ2.", "session_id": 12343, "sequence_id": 342, "annotations": []}
{"role": "volunteer", "content": "+ X2Y.", "session_id": 12343, "sequence_id": 343, "annotations": []}
{"role": "volunteer", "content": "+ X2Z.", "session_id": 12343, "sequence_id": 344, "annotations": []}
{"role": "volunteer", "content": "and already this is getting ugly", "session_id": 12343, "sequence_id": 345, "annotations": []}
{"role": "volunteer", "content": "because we'd say plus Y", "session_id": 12343, "sequence_id": 346, "annotations": []}
{"role": "volunteer", "content": "and this would give us X", "session_id": 12343, "sequence_id": 347, "annotations": []}
{"role": "volunteer", "content": "2 Y", "session_id": 12343, "sequence_id": 348, "annotations": []}
{"role": "volunteer", "content": "+ Y cubed.", "session_id": 12343, "sequence_id": 349, "annotations": []}
{"role": "volunteer", "content": "plus", "session_id": 12343, "sequence_id": 350, "annotations": []}
{"role": "volunteer", "content": "YZ squared", "session_id": 12343, "sequence_id": 351, "annotations": []}
{"role": "volunteer", "content": "minus XY2.", "session_id": 12343, "sequence_id": 352, "annotations": []}
{"role": "volunteer", "content": "minus XYZ.", "session_id": 12343, "sequence_id": 353, "annotations": []}
{"role": "volunteer", "content": "minus", "session_id": 12343, "sequence_id": 354, "annotations": []}
{"role": "volunteer", "content": "Y2Z.", "session_id": 12343, "sequence_id": 355, "annotations": []}
{"role": "volunteer", "content": "Why'd you plus me", "session_id": 12343, "sequence_id": 356, "annotations": []}
{"role": "volunteer", "content": "Oh, you're right", "session_id": 12343, "sequence_id": 357, "annotations": []}
{"role": "volunteer", "content": "I deserve that", "session_id": 12343, "sequence_id": 358, "annotations": []}
{"role": "volunteer", "content": "Did I have too many terms", "session_id": 12343, "sequence_id": 359, "annotations": []}
{"role": "volunteer", "content": "X 2 Y and X2Z. I only have two terms.", "session_id": 12343, "sequence_id": 360, "annotations": []}
{"role": "volunteer", "content": "No, no, no", "session_id": 12343, "sequence_id": 361, "annotations": []}
{"role": "volunteer", "content": "minus XY", "session_id": 12343, "sequence_id": 362, "annotations": []}
{"role": "student", "content": "yeah, i was thinking why do u have two terms", "session_id": 12343, "sequence_id": 363, "annotations": []}
{"role": "volunteer", "content": "No, that's not, that, that should be, that should be minus.", "session_id": 12343, "sequence_id": 364, "annotations": []}
{"role": "volunteer", "content": "because it's um", "session_id": 12343, "sequence_id": 365, "annotations": []}
{"role": "volunteer", "content": "it's", "session_id": 12343, "sequence_id": 366, "annotations": []}
{"role": "volunteer", "content": "X times X squared.", "session_id": 12343, "sequence_id": 367, "annotations": []}
{"role": "volunteer", "content": "right? And that's all plus", "session_id": 12343, "sequence_id": 368, "annotations": []}
{"role": "volunteer", "content": "It's the, it's all the X squared terms that are minus", "session_id": 12343, "sequence_id": 369, "annotations": []}
{"role": "volunteer", "content": "I'm sorry, they get, yeah, that are minus then they get converted to plus.", "session_id": 12343, "sequence_id": 370, "annotations": []}
{"role": "volunteer", "content": "Just trust the process", "session_id": 12343, "sequence_id": 371, "annotations": []}
{"role": "volunteer", "content": "All right, so there's three terms, and I got three terms.", "session_id": 12343, "sequence_id": 372, "annotations": []}
{"role": "volunteer", "content": "So then I can close this.", "session_id": 12343, "sequence_id": 373, "annotations": []}
{"role": "volunteer", "content": "minus", "session_id": 12343, "sequence_id": 374, "annotations": []}
{"role": "volunteer", "content": "and then all we care about is", "session_id": 12343, "sequence_id": 375, "annotations": []}
{"role": "volunteer", "content": "the Y cued", "session_id": 12343, "sequence_id": 376, "annotations": []}
{"role": "volunteer", "content": "but we also have", "session_id": 12343, "sequence_id": 377, "annotations": []}
{"role": "volunteer", "content": "this XYZ term.", "session_id": 12343, "sequence_id": 378, "annotations": []}
{"role": "volunteer", "content": "So then this becomes one.", "session_id": 12343, "sequence_id": 379, "annotations": []}
{"role": "volunteer", "content": "So then we get Z cubed.", "session_id": 12343, "sequence_id": 380, "annotations": []}
{"role": "volunteer", "content": "minus X", "session_id": 12343, "sequence_id": 381, "annotations": []}
{"role": "volunteer", "content": "Do we have an XY square", "session_id": 12343, "sequence_id": 382, "annotations": []}
{"role": "volunteer", "content": "We do have an XY squared. So those canceled, wow, look at that. Look at that.", "session_id": 12343, "sequence_id": 383, "annotations": []}
{"role": "volunteer", "content": "Hallelujah", "session_id": 12343, "sequence_id": 384, "annotations": []}
{"role": "volunteer", "content": "Yeah, did I not? I'm gonna make sure I matched them up properly.", "session_id": 12343, "sequence_id": 385, "annotations": []}
{"role": "volunteer", "content": "So this XY 2 XY2 gone.", "session_id": 12343, "sequence_id": 386, "annotations": []}
{"role": "volunteer", "content": "And I think that's it", "session_id": 12343, "sequence_id": 387, "annotations": []}
{"role": "volunteer", "content": "cause they don't have it. Oh, we do have an X square Y, X squared Z is canceled.", "session_id": 12343, "sequence_id": 388, "annotations": []}
{"role": "volunteer", "content": "What about a Y2Z X2Z and Y2Z.", "session_id": 12343, "sequence_id": 389, "annotations": []}
{"role": "volunteer", "content": "Look at that", "session_id": 12343, "sequence_id": 390, "annotations": []}
{"role": "volunteer", "content": "It's almost like somebody planned it.", "session_id": 12343, "sequence_id": 391, "annotations": []}
{"role": "volunteer", "content": "All right, so I got these", "session_id": 12343, "sequence_id": 392, "annotations": []}
{"role": "volunteer", "content": "I got Z cubed, that didn't get canceled. I got minus XZ squared, change the color.", "session_id": 12343, "sequence_id": 393, "annotations": []}
{"role": "volunteer", "content": "minus XZ cubed.", "session_id": 12343, "sequence_id": 394, "annotations": []}
{"role": "volunteer", "content": "plus X2Z", "session_id": 12343, "sequence_id": 395, "annotations": []}
{"role": "volunteer", "content": "That's not, sorry, that's not cute. It's supposed to be a square.", "session_id": 12343, "sequence_id": 396, "annotations": []}
{"role": "volunteer", "content": "just XZ 2 and then X2Z.", "session_id": 12343, "sequence_id": 397, "annotations": []}
{"role": "volunteer", "content": "um and then I got", "session_id": 12343, "sequence_id": 398, "annotations": []}
{"role": "volunteer", "content": "plus, oh, I'm sorry, that's minus.", "session_id": 12343, "sequence_id": 399, "annotations": []}
{"role": "volunteer", "content": "minus YZ 2.", "session_id": 12343, "sequence_id": 400, "annotations": []}
{"role": "volunteer", "content": "+ Y2Z.", "session_id": 12343, "sequence_id": 401, "annotations": []}
{"role": "volunteer", "content": "Yeah.", "session_id": 12343, "sequence_id": 402, "annotations": []}
{"role": "volunteer", "content": "So the, so all the Z squares are negative.", "session_id": 12343, "sequence_id": 403, "annotations": []}
{"role": "volunteer", "content": "and all the Z terms are positive.", "session_id": 12343, "sequence_id": 404, "annotations": []}
{"role": "volunteer", "content": "Yeah, that makes sense", "session_id": 12343, "sequence_id": 405, "annotations": []}
{"role": "volunteer", "content": "And then at the top", "session_id": 12343, "sequence_id": 406, "annotations": []}
{"role": "volunteer", "content": "we say plus Z and then now we get into our", "session_id": 12343, "sequence_id": 407, "annotations": []}
{"role": "volunteer", "content": "we get X2Z", "session_id": 12343, "sequence_id": 408, "annotations": []}
{"role": "volunteer", "content": "That's supposed, I don't know why it looks like a negative there.", "session_id": 12343, "sequence_id": 409, "annotations": []}
{"role": "volunteer", "content": "there we go. X 2 Z.", "session_id": 12343, "sequence_id": 410, "annotations": []}
{"role": "volunteer", "content": "+ Y squared Z + Z cubed.", "session_id": 12343, "sequence_id": 411, "annotations": []}
{"role": "volunteer", "content": "minus XYZ.", "session_id": 12343, "sequence_id": 412, "annotations": []}
{"role": "volunteer", "content": "Where's my XYZ term? No, no", "session_id": 12343, "sequence_id": 413, "annotations": []}
{"role": "volunteer", "content": "OK. I was panicking.", "session_id": 12343, "sequence_id": 414, "annotations": []}
{"role": "student", "content": "sorry, my network was gone", "session_id": 12343, "sequence_id": 415, "annotations": []}
{"role": "volunteer", "content": "I forgot to keep my minus XYZ.", "session_id": 12343, "sequence_id": 416, "annotations": []}
{"role": "volunteer", "content": "Oh, your network", "session_id": 12343, "sequence_id": 417, "annotations": []}
{"role": "volunteer", "content": "Are you back", "session_id": 12343, "sequence_id": 418, "annotations": []}
{"role": "student", "content": "yeah, I'm back. But i can't see anything on board", "session_id": 12343, "sequence_id": 419, "annotations": []}
{"role": "volunteer", "content": "What?", "session_id": 12343, "sequence_id": 420, "annotations": []}
{"role": "student", "content": "i'll have to refresh", "session_id": 12343, "sequence_id": 421, "annotations": []}
{"role": "volunteer", "content": "That's the whole point of this thing is that you could see the board.", "session_id": 12343, "sequence_id": 422, "annotations": []}
{"role": "volunteer", "content": "Yeah, go ahead", "session_id": 12343, "sequence_id": 423, "annotations": []}
{"role": "volunteer", "content": "Why does it keep wiping?", "session_id": 12343, "sequence_id": 424, "annotations": []}
{"role": "volunteer", "content": "I wonder if I can", "session_id": 12343, "sequence_id": 425, "annotations": []}
{"role": "volunteer", "content": "Nope, I can't control A.", "session_id": 12343, "sequence_id": 426, "annotations": []}
{"role": "student", "content": "wait, is everything gone for real?", "session_id": 12343, "sequence_id": 427, "annotations": []}
{"role": "volunteer", "content": "No, try hitting the um", "session_id": 12343, "sequence_id": 428, "annotations": []}
{"role": "volunteer", "content": "the undo button", "session_id": 12343, "sequence_id": 429, "annotations": []}
{"role": "student", "content": "I thought it was my connection", "session_id": 12343, "sequence_id": 430, "annotations": []}
{"role": "volunteer", "content": "It did go away, but I hit the undo button and it came back for me.", "session_id": 12343, "sequence_id": 431, "annotations": []}
{"role": "volunteer", "content": "It happened twice", "session_id": 12343, "sequence_id": 432, "annotations": []}
{"role": "student", "content": "oh no!", "session_id": 12343, "sequence_id": 433, "annotations": []}
{"role": "volunteer", "content": "The good news is", "session_id": 12343, "sequence_id": 434, "annotations": []}
{"role": "volunteer", "content": "is that I think we've proved, I've, I've, I think I've proven", "session_id": 12343, "sequence_id": 435, "annotations": []}
{"role": "volunteer", "content": "that um", "session_id": 12343, "sequence_id": 436, "annotations": []}
{"role": "volunteer", "content": "X squared + Y squared + Z squared minus XYZ.", "session_id": 12343, "sequence_id": 437, "annotations": []}
{"role": "volunteer", "content": "Sorry.", "session_id": 12343, "sequence_id": 438, "annotations": []}
{"role": "volunteer", "content": "Basically that the derivative.", "session_id": 12343, "sequence_id": 439, "annotations": []}
{"role": "volunteer", "content": "the sum of the derivatives.", "session_id": 12343, "sequence_id": 440, "annotations": []}
{"role": "volunteer", "content": "the numerator is a factor of the denominator.", "session_id": 12343, "sequence_id": 441, "annotations": []}
{"role": "volunteer", "content": "And what we're left with is this X + Y + Z term.", "session_id": 12343, "sequence_id": 442, "annotations": []}
{"role": "volunteer", "content": "Though I disagree with their negative sign.", "session_id": 12343, "sequence_id": 443, "annotations": []}
{"role": "volunteer", "content": "I, or let me see if I can", "session_id": 12343, "sequence_id": 444, "annotations": []}
{"role": "student", "content": "are you writing on board?", "session_id": 12343, "sequence_id": 445, "annotations": []}
{"role": "volunteer", "content": "let me finish. Yes, I am. Can you still not see the board?", "session_id": 12343, "sequence_id": 446, "annotations": []}
{"role": "volunteer", "content": "Because that would be a tragedy.", "session_id": 12343, "sequence_id": 447, "annotations": []}
{"role": "student", "content": "i'll need a min", "session_id": 12343, "sequence_id": 448, "annotations": []}
{"role": "student", "content": "I'm sorry. I'll have to reset this, It gonna some time.", "session_id": 12343, "sequence_id": 449, "annotations": []}
{"role": "volunteer", "content": "Your network? OK", "session_id": 12343, "sequence_id": 450, "annotations": []}
{"role": "student", "content": "I'm back.", "session_id": 12343, "sequence_id": 451, "annotations": []}
{"role": "student", "content": "it should work fine now, I hope so.", "session_id": 12343, "sequence_id": 452, "annotations": []}
{"role": "volunteer", "content": "welcome back", "session_id": 12343, "sequence_id": 453, "annotations": []}
{"role": "student", "content": "Thanks you", "session_id": 12343, "sequence_id": 454, "annotations": []}
{"role": "student", "content": "Do we have anything on board?", "session_id": 12343, "sequence_id": 455, "annotations": []}
{"role": "volunteer", "content": "Yeah, I didn't delete anything, but I guess it's not there. All I did was um", "session_id": 12343, "sequence_id": 456, "annotations": []}
{"role": "volunteer", "content": "through long division", "session_id": 12343, "sequence_id": 457, "annotations": []}
{"role": "volunteer", "content": "prove that", "session_id": 12343, "sequence_id": 458, "annotations": []}
{"role": "volunteer", "content": "X + Y + Z.", "session_id": 12343, "sequence_id": 459, "annotations": []}
{"role": "volunteer", "content": "times the sum of the derivatives.", "session_id": 12343, "sequence_id": 460, "annotations": []}
{"role": "volunteer", "content": "on the numerator", "session_id": 12343, "sequence_id": 461, "annotations": []}
{"role": "volunteer", "content": "is um that the, the X Y Z is a factor.", "session_id": 12343, "sequence_id": 462, "annotations": []}
{"role": "student", "content": "wait", "session_id": 12343, "sequence_id": 463, "annotations": []}
{"role": "volunteer", "content": "of the B term, which is XQ plus YQ plus Zed minus 3XY.", "session_id": 12343, "sequence_id": 464, "annotations": []}
{"role": "volunteer", "content": "just through just through long division.", "session_id": 12343, "sequence_id": 465, "annotations": []}
{"role": "volunteer", "content": "If you still can't see the board, um", "session_id": 12343, "sequence_id": 466, "annotations": []}
{"role": "student", "content": "oh no, i don't see anything written", "session_id": 12343, "sequence_id": 467, "annotations": []}
{"role": "volunteer", "content": "then you can try.", "session_id": 12343, "sequence_id": 468, "annotations": []}
{"role": "volunteer", "content": "Oh no", "session_id": 12343, "sequence_id": 469, "annotations": []}
{"role": "volunteer", "content": "I mean", "session_id": 12343, "sequence_id": 470, "annotations": []}
{"role": "volunteer", "content": "I'll just wipe it and do it over again. It's not a big deal. Can you upload the question again?", "session_id": 12343, "sequence_id": 471, "annotations": []}
{"role": "student", "content": "wait", "session_id": 12343, "sequence_id": 472, "annotations": []}
{"role": "student", "content": "don't wipe", "session_id": 12343, "sequence_id": 473, "annotations": []}
{"role": "volunteer", "content": "Ugh", "session_id": 12343, "sequence_id": 474, "annotations": []}
{"role": "student", "content": "can you take screenshot and upload it", "session_id": 12343, "sequence_id": 475, "annotations": []}
{"role": "volunteer", "content": "Very good point.", "session_id": 12343, "sequence_id": 476, "annotations": []}
{"role": "volunteer", "content": "It's gonna have to be a series of", "session_id": 12343, "sequence_id": 477, "annotations": []}
{"role": "volunteer", "content": "I think I'll just show, I'll just show the long division.", "session_id": 12343, "sequence_id": 478, "annotations": []}
{"role": "volunteer", "content": "Um, let me see, how do I screen? There it is.", "session_id": 12343, "sequence_id": 479, "annotations": []}
{"role": "volunteer", "content": "I want to capture.", "session_id": 12343, "sequence_id": 480, "annotations": []}
{"role": "volunteer", "content": "Mhm.", "session_id": 12343, "sequence_id": 481, "annotations": []}
{"role": "volunteer", "content": "here", "session_id": 12343, "sequence_id": 482, "annotations": []}
{"role": "volunteer", "content": "Uh.", "session_id": 12343, "sequence_id": 483, "annotations": []}
{"role": "volunteer", "content": "see", "session_id": 12343, "sequence_id": 484, "annotations": []}
{"role": "volunteer", "content": "I'll figure out where I got saved in a moment.", "session_id": 12343, "sequence_id": 485, "annotations": []}
{"role": "volunteer", "content": "And then I want to do another screenshot.", "session_id": 12343, "sequence_id": 486, "annotations": []}
{"role": "volunteer", "content": "Let's see if that.", "session_id": 12343, "sequence_id": 487, "annotations": []}
{"role": "volunteer", "content": "and then last but not least, we have", "session_id": 12343, "sequence_id": 488, "annotations": []}
{"role": "volunteer", "content": "control shift S", "session_id": 12343, "sequence_id": 489, "annotations": []}
{"role": "volunteer", "content": "All right", "session_id": 12343, "sequence_id": 490, "annotations": []}
{"role": "volunteer", "content": "Now, let me see if I can upload.", "session_id": 12343, "sequence_id": 491, "annotations": []}
{"role": "student", "content": "you can snip, window shift s", "session_id": 12343, "sequence_id": 492, "annotations": []}
{"role": "volunteer", "content": "I probably should have snipped, but", "session_id": 12343, "sequence_id": 493, "annotations": []}
{"role": "volunteer", "content": "it's processing the image.", "session_id": 12343, "sequence_id": 494, "annotations": []}
{"role": "volunteer", "content": "and that is very large. Let me try to", "session_id": 12343, "sequence_id": 495, "annotations": []}
{"role": "volunteer", "content": "change the sizes", "session_id": 12343, "sequence_id": 496, "annotations": []}
{"role": "volunteer", "content": "There we go.", "session_id": 12343, "sequence_id": 497, "annotations": []}
{"role": "volunteer", "content": "So this is the start of the long division.", "session_id": 12343, "sequence_id": 498, "annotations": []}
{"role": "volunteer", "content": "And let me add in the other components.", "session_id": 12343, "sequence_id": 499, "annotations": []}
{"role": "volunteer", "content": "Oops.", "session_id": 12343, "sequence_id": 500, "annotations": []}
{"role": "volunteer", "content": "I pressed the wrong button", "session_id": 12343, "sequence_id": 501, "annotations": []}
{"role": "volunteer", "content": "Here we go", "session_id": 12343, "sequence_id": 502, "annotations": []}
{"role": "volunteer", "content": "It's a bit of overlap. Yeah.", "session_id": 12343, "sequence_id": 503, "annotations": []}
{"role": "student", "content": "im only seeing you arrow moving. nothing else.", "session_id": 12343, "sequence_id": 504, "annotations": []}
{"role": "volunteer", "content": "You really can't see any images I'm uploading.", "session_id": 12343, "sequence_id": 505, "annotations": []}
{"role": "volunteer", "content": "cause what is happening right now.", "session_id": 12343, "sequence_id": 506, "annotations": []}
{"role": "student", "content": "idk what's happeninig, bucz i can hear you fine, network seems to working", "session_id": 12343, "sequence_id": 507, "annotations": []}
{"role": "volunteer", "content": "Can you even see my cursor moving?", "session_id": 12343, "sequence_id": 508, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 12343, "sequence_id": 509, "annotations": []}
{"role": "volunteer", "content": "on the screen", "session_id": 12343, "sequence_id": 510, "annotations": []}
{"role": "volunteer", "content": "Um, let me see if I", "session_id": 12343, "sequence_id": 511, "annotations": []}
{"role": "volunteer", "content": "let me see if I write something. Can you see it?", "session_id": 12343, "sequence_id": 512, "annotations": []}
{"role": "volunteer", "content": "Can you see that", "session_id": 12343, "sequence_id": 513, "annotations": []}
{"role": "student", "content": "no", "session_id": 12343, "sequence_id": 514, "annotations": []}
{"role": "volunteer", "content": "Um, can you scroll down on that at the top?", "session_id": 12343, "sequence_id": 515, "annotations": []}
{"role": "volunteer", "content": "You can't see anything.", "session_id": 12343, "sequence_id": 516, "annotations": []}
{"role": "student", "content": "im on top", "session_id": 12343, "sequence_id": 517, "annotations": []}
{"role": "student", "content": "no", "session_id": 12343, "sequence_id": 518, "annotations": []}
{"role": "volunteer", "content": "Let me", "session_id": 12343, "sequence_id": 519, "annotations": []}
{"role": "volunteer", "content": "can't see", "session_id": 12343, "sequence_id": 520, "annotations": []}
{"role": "volunteer", "content": "can't see all the squiggles I'm doing", "session_id": 12343, "sequence_id": 521, "annotations": []}
{"role": "volunteer", "content": "Well, then, this is a problem.", "session_id": 12343, "sequence_id": 522, "annotations": []}
{"role": "student", "content": "i refreshed multiple times", "session_id": 12343, "sequence_id": 523, "annotations": []}
{"role": "volunteer", "content": "Yeah, I don't understand what's happening.", "session_id": 12343, "sequence_id": 524, "annotations": []}
{"role": "volunteer", "content": "Um", "session_id": 12343, "sequence_id": 525, "annotations": []}
{"role": "volunteer", "content": "issues with", "session_id": 12343, "sequence_id": 526, "annotations": []}
{"role": "student", "content": "you can see?", "session_id": 12343, "sequence_id": 527, "annotations": []}
{"role": "volunteer", "content": "whiteboard", "session_id": 12343, "sequence_id": 528, "annotations": []}
{"role": "volunteer", "content": "So, I'm, I'm in, I'm with the uh AI, the, the, the AI.", "session_id": 12343, "sequence_id": 529, "annotations": []}
{"role": "volunteer", "content": "the bot", "session_id": 12343, "sequence_id": 530, "annotations": []}
{"role": "volunteer", "content": "see if it has any solutions", "session_id": 12343, "sequence_id": 531, "annotations": []}
{"role": "student", "content": "can you see my writing on board?", "session_id": 12343, "sequence_id": 532, "annotations": []}
{"role": "volunteer", "content": "Student uh student cannot.", "session_id": 12343, "sequence_id": 533, "annotations": []}
{"role": "volunteer", "content": "see.", "session_id": 12343, "sequence_id": 534, "annotations": []}
{"role": "volunteer", "content": "or", "session_id": 12343, "sequence_id": 535, "annotations": []}
{"role": "volunteer", "content": "can I see what", "session_id": 12343, "sequence_id": 536, "annotations": []}
{"role": "volunteer", "content": "is written on whiteboard.", "session_id": 12343, "sequence_id": 537, "annotations": []}
{"role": "volunteer", "content": "Are", "session_id": 12343, "sequence_id": 538, "annotations": []}
{"role": "volunteer", "content": "is it gonna be weird if I try to", "session_id": 12343, "sequence_id": 539, "annotations": []}
{"role": "volunteer", "content": "um", "session_id": 12343, "sequence_id": 540, "annotations": []}
{"role": "volunteer", "content": "describe the whole long division problem.", "session_id": 12343, "sequence_id": 541, "annotations": []}
{"role": "volunteer", "content": "in the chat", "session_id": 12343, "sequence_id": 542, "annotations": []}
{"role": "volunteer", "content": "So we have", "session_id": 12343, "sequence_id": 543, "annotations": []}
{"role": "volunteer", "content": "derivative", "session_id": 12343, "sequence_id": 544, "annotations": []}
{"role": "volunteer", "content": "some", "session_id": 12343, "sequence_id": 545, "annotations": []}
{"role": "volunteer", "content": "equals", "session_id": 12343, "sequence_id": 546, "annotations": []}
{"role": "volunteer", "content": "3 times.", "session_id": 12343, "sequence_id": 547, "annotations": []}
{"role": "volunteer", "content": "X squared.", "session_id": 12343, "sequence_id": 548, "annotations": []}
{"role": "volunteer", "content": "+ Y.", "session_id": 12343, "sequence_id": 549, "annotations": []}
{"role": "volunteer", "content": "where plus disease.", "session_id": 12343, "sequence_id": 550, "annotations": []}
{"role": "student", "content": "don't use text based explanation", "session_id": 12343, "sequence_id": 551, "annotations": []}
{"role": "volunteer", "content": "derivative sum = 3*(x^2+y^2+z^2-xy-xz-yz)/(x^3+y^3+z^3-3xyz)", "session_id": 12343, "sequence_id": 552, "annotations": []}
{"role": "volunteer", "content": "is text-based explanation no bueno. Actually, can you try writing on the whiteboard? Let me see if", "session_id": 12343, "sequence_id": 553, "annotations": []}
{"role": "volunteer", "content": "I because I can see your cursor", "session_id": 12343, "sequence_id": 554, "annotations": []}
{"role": "volunteer", "content": "I, I can see your cursor moving, but I can't see you writing anything, and I can't select anything you're writing. So it looks like a completely blocked us from each other.", "session_id": 12343, "sequence_id": 555, "annotations": []}
{"role": "student", "content": "exactly, same thing happening with me", "session_id": 12343, "sequence_id": 556, "annotations": []}
{"role": "volunteer", "content": "We may have to try", "session_id": 12343, "sequence_id": 557, "annotations": []}
{"role": "volunteer", "content": "um, exiting this one and trying to reconnect.", "session_id": 12343, "sequence_id": 558, "annotations": []}
{"role": "volunteer", "content": "exiting this tutoring session.", "session_id": 12343, "sequence_id": 559, "annotations": []}
{"role": "student", "content": "yeah okay", "session_id": 12343, "sequence_id": 560, "annotations": []}
{"role": "volunteer", "content": "to see if that works.", "session_id": 12343, "sequence_id": 561, "annotations": []}
{"role": "volunteer", "content": "I don't have", "session_id": 12343, "sequence_id": 562, "annotations": []}
{"role": "volunteer", "content": "it's gonna have to be on your end for some reason, I don't have an", "session_id": 12343, "sequence_id": 563, "annotations": []}
{"role": "volunteer", "content": "a finished session or anything at the top of my page.", "session_id": 12343, "sequence_id": 564, "annotations": []}
{"role": "volunteer", "content": "It should have been a red flag", "session_id": 12343, "sequence_id": 565, "annotations": []}
{"role": "student", "content": "i didn't understand what u mean", "session_id": 12343, "sequence_id": 566, "annotations": []}
{"role": "volunteer", "content": "You know, you know, at the top of the page, it has the the end chat button, the end chat button, I don't have that. It's completely like", "session_id": 12343, "sequence_id": 567, "annotations": []}
{"role": "volunteer", "content": "closed off, almost like the chat in the whiteboard went full screen.", "session_id": 12343, "sequence_id": 568, "annotations": []}
{"role": "student", "content": "ohh okay, I see. i can do it", "session_id": 12343, "sequence_id": 569, "annotations": []}
{"role": "volunteer", "content": "I can't even see the Uchie logo.", "session_id": 12343, "sequence_id": 570, "annotations": []}
{"role": "volunteer", "content": "at the top banner", "session_id": 12343, "sequence_id": 571, "annotations": []}
{"role": "volunteer", "content": "Hi Alex! How can I help?", "session_id": 12536, "sequence_id": 0, "annotations": [{"pii_type": "PERSON", "surrogate": "Alex", "start": 3, "end": 7}]}
{"role": "volunteer", "content": "Awesome! Is that a 9 or a q?", "session_id": 12536, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "q", "session_id": 12536, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "Thank you! What are you asked to do with this equation", "session_id": 12536, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "rewrite to solve for x", "session_id": 12536, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "Perfect! Do you want me to run through how to do that?", "session_id": 12536, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "just do this one as a example than ill do the rest and you check if im right or wrong", "session_id": 12536, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "I can't do the question for you fully but I can explain how it works! Here is a good example.", "session_id": 12536, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "Can you tell me what 4x+x=?", "session_id": 12536, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "5x", "session_id": 12536, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "Perfect! What about 6x+x?", "session_id": 12536, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "7x", "session_id": 12536, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "Amazing! There is a pattern here, do you see it?", "session_id": 12536, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "yes", "session_id": 12536, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "What do you see?", "session_id": 12536, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "my wifi is bad", "session_id": 12536, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "hi!", "session_id": 12673, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "hi", "session_id": 12673, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "how are you", "session_id": 12673, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "I have some questions for math", "session_id": 12673, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "10th Grade", "session_id": 12673, "sequence_id": 4, "annotations": [{"pii_type": "GRADE_LEVEL", "surrogate": "10th Grade", "start": 0, "end": 10}]}
{"role": "volunteer", "content": "ok!", "session_id": 12673, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "you can paste them on the whiteboard", "session_id": 12673, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "3 hats cost a total of 18$. Which eqaution describes the total cost, C, In terms of the number of hats, N.", "session_id": 12673, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "How would I solve that?", "session_id": 12673, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "Uh oh", "session_id": 12673, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "uh.", "session_id": 12673, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "do you know how to solve this equation", "session_id": 12673, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "Huh?", "session_id": 12673, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "3n = 18", "session_id": 12673, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "or you can use x if you are more familiar with it", "session_id": 12673, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "3x = 18", "session_id": 12673, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "sort of not reallyy", "session_id": 12673, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "ok so when solving an equation with one variable", "session_id": 12673, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "you are trying to find the variable's value", "session_id": 12673, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "in order to do that you have to isolate the variable (aka get it on one side alone)", "session_id": 12673, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "Oh, could you show me how to do it", "session_id": 12673, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "ya to do that you have to do the opposite of the operation that is currently being done (aka do the inverse operation)", "session_id": 12673, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "i'll show you in an example", "session_id": 12673, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "oh like wat my teacher teaches me in Algebra", "session_id": 12673, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "yes!", "session_id": 12673, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "its just algebra", "session_id": 12673, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "do you know how to do it now?", "session_id": 12673, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "1", "session_id": 12673, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "1 is the answer you got?", "session_id": 12673, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "have you heard the meme Six Seven", "session_id": 12673, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "ya lol", "session_id": 12673, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "do you see how i did the example??", "session_id": 12673, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "i can do it again if you want", "session_id": 12673, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "IDK my teacher has not showed use that way before", "session_id": 12673, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "what way does your teacher do it?", "session_id": 12673, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "He said to um", "session_id": 12673, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "are you telling that person that I told you to say. Have you heard of the means. Oh, shut up.", "session_id": 12673, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "My freaking brother said that", "session_id": 12673, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "ohh", "session_id": 12673, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "lol", "session_id": 12673, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "My teacher told me to like draw a line.", "session_id": 12673, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "uh down the middle of the eco side, and then add the um the egg, uh, the, the regular, uh, the full weight.", "session_id": 12673, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "can you show me on the whiteboard", "session_id": 12673, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "Yeah, sure", "session_id": 12673, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "you can show me on the actual problem", "session_id": 12673, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "3N=18", "session_id": 12673, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "That's how they taught me to do it", "session_id": 12673, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "ya thats basically what i did!", "session_id": 12673, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "i just didnt draw the vertical line", "session_id": 12673, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "Oh, that was kind of confusing.", "session_id": 12673, "sequence_id": 49, "annotations": []}
{"role": "student", "content": "Um.", "session_id": 12673, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "wait so then you know how to do this problem you asked me about", "session_id": 12673, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "Uh uh.", "session_id": 12673, "sequence_id": 52, "annotations": []}
{"role": "student", "content": "Sort of", "session_id": 12673, "sequence_id": 53, "annotations": []}
{"role": "student", "content": "hard.", "session_id": 12673, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "scroll up to the top and try", "session_id": 12673, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "its the same way you did the one you just did", "session_id": 12673, "sequence_id": 56, "annotations": []}
{"role": "student", "content": "we do.", "session_id": 12673, "sequence_id": 57, "annotations": []}
{"role": "student", "content": "Hey dude.", "session_id": 12673, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "?", "session_id": 12673, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "you should try it", "session_id": 12673, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "i'll help you if you cant", "session_id": 12673, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "but its the same way you did the problem you just did", "session_id": 12673, "sequence_id": 62, "annotations": []}
{"role": "student", "content": "I had to think of how to do it all like the way they showed use could you help me learn the way you can do it?", "session_id": 12673, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "what do you mean do it all the way?", "session_id": 12673, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "oh like do 6 divided by 5 in ur example?", "session_id": 12673, "sequence_id": 65, "annotations": []}
{"role": "student", "content": "oh ok", "session_id": 12673, "sequence_id": 66, "annotations": []}
{"role": "student", "content": "What do you mean?", "session_id": 12673, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "try the other one at the top and if you dont do it right i will of course help more", "session_id": 12673, "sequence_id": 68, "annotations": []}
{"role": "student", "content": "Yeah, what time did that thing start?", "session_id": 12673, "sequence_id": 69, "annotations": []}
{"role": "student", "content": "My sister said that too.", "session_id": 12673, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "what time did what start?", "session_id": 12673, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "this session?", "session_id": 12673, "sequence_id": 72, "annotations": []}
{"role": "student", "content": "I started at 5:18", "session_id": 12673, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "mm", "session_id": 12673, "sequence_id": 74, "annotations": []}
{"role": "student", "content": "i have to go now bye have a good day", "session_id": 12673, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "oh but dont you need help", "session_id": 12673, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "to finish", "session_id": 12673, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "the problem", "session_id": 12673, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "try it out real quicck here", "session_id": 12673, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "so i can help", "session_id": 12673, "sequence_id": 80, "annotations": []}
{"role": "volunteer", "content": "more", "session_id": 12673, "sequence_id": 81, "annotations": []}
{"role": "student", "content": "k", "session_id": 12673, "sequence_id": 82, "annotations": []}
{"role": "student", "content": "which one do you want me to do can you give me an example", "session_id": 12673, "sequence_id": 83, "annotations": []}
{"role": "volunteer", "content": "do the actual problem", "session_id": 12673, "sequence_id": 84, "annotations": []}
{"role": "volunteer", "content": "the one at the top", "session_id": 12673, "sequence_id": 85, "annotations": []}
{"role": "volunteer", "content": "sure i can give an example first if you want", "session_id": 12673, "sequence_id": 86, "annotations": []}
{"role": "volunteer", "content": "the example is at the bottom", "session_id": 12673, "sequence_id": 87, "annotations": []}
{"role": "student", "content": "Ok thank you", "session_id": 12673, "sequence_id": 88, "annotations": []}
{"role": "student", "content": "I have to now", "session_id": 12673, "sequence_id": 89, "annotations": []}
{"role": "volunteer", "content": "are you sure you get it?", "session_id": 12673, "sequence_id": 90, "annotations": []}
{"role": "student", "content": "yeah I know how to get it now thank you a lot.", "session_id": 12673, "sequence_id": 91, "annotations": []}
{"role": "volunteer", "content": "yay!", "session_id": 12673, "sequence_id": 92, "annotations": []}
{"role": "volunteer", "content": "npp", "session_id": 12673, "sequence_id": 93, "annotations": []}
{"role": "volunteer", "content": "bye", "session_id": 12673, "sequence_id": 94, "annotations": []}
{"role": "volunteer", "content": "Hi Alex", "session_id": 12692, "sequence_id": 0, "annotations": [{"pii_type": "PERSON", "surrogate": "Alex", "start": 3, "end": 7}]}
{"role": "student", "content": "I need help identifying a convenience sample", "session_id": 12692, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "Would you have a specific question or problem you want to work on?", "session_id": 12692, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "I just want to understand what a convenience sample should contain ", "session_id": 12692, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "OK. Give me 2-3 minutes, and I'll find an example for you.", "session_id": 12692, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "First, I'll give you a general definition.", "session_id": 12692, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "Convenience sampling is not a random method of selecting a sample. This method selects individuals that are easily accessible and may result in biased data.", "session_id": 12692, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "An example of convenience sampling would be a survey done in a shopping mall. It's somewhat biased, because only shoppers are included.", "session_id": 12692, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "This example is \"convenient\", because it's easy to find participants in a crowded place like a mall.", "session_id": 12692, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "Does it help?", "session_id": 12692, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "yes thank you!", "session_id": 12692, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "You're welcome. We can end the session. Enjoy the rest of your day.", "session_id": 12692, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "Hi Alex! I just need help with nets and marking them", "session_id": 12721, "sequence_id": 0, "annotations": [{"pii_type": "PERSON", "surrogate": "Alex", "start": 3, "end": 7}]}
{"role": "student", "content": "No Im in the car and I get home in 30 mins\nIs there any chance I can do it then", "session_id": 12721, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "Hello!", "session_id": 12721, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "Alex!!!\n", "session_id": 12721, "sequence_id": 3, "annotations": [{"pii_type": "PERSON", "surrogate": "Alex", "start": 0, "end": 4}]}
{"role": "volunteer", "content": "Want me to stay on the line until u get home? Or r u good now?", "session_id": 12721, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "It doesn't really matter i just can't voice call", "session_id": 12721, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "Ok thats alr", "session_id": 12721, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "Alex", "session_id": 12721, "sequence_id": 7, "annotations": [{"pii_type": "PERSON", "surrogate": "Alex", "start": 0, "end": 4}]}
{"role": "student", "content": "Alex", "session_id": 12721, "sequence_id": 8, "annotations": [{"pii_type": "PERSON", "surrogate": "Alex", "start": 0, "end": 4}]}
{"role": "volunteer", "content": "just tell me whats easier 4 u", "session_id": 12721, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "Okay I can do it now", "session_id": 12721, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "K what r u struggling with?", "session_id": 12721, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "Im learning about marking nets and I don't rlly know how to do it", "session_id": 12721, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "The 3d shapes laid out to be 2d?", "session_id": 12721, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "Yesss ", "session_id": 12721, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "Oh ok s what r u strugglong with on them? Like the idea of it or how to mentally fold it into a 3d shape?", "session_id": 12721, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "No its that I dont know how to em and find suface area\nmark th", "session_id": 12721, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "Btw sorry if im not specific \ud83d\ude05 ", "session_id": 12721, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "Oh ok can u give me an example of ur question so I can help walk u through one/", "session_id": 12721, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "Its fine I understand what ur trying to say", "session_id": 12721, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "So they give me a cube and safy one of the of the faces are 5ft so what is the full area\n", "session_id": 12721, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "Say\n", "session_id": 12721, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "theres 6 sides so it would be 5x6 so 30", "session_id": 12721, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "No but one of the sides on the faces are 5", "session_id": 12721, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "oh so the width/length is 5?", "session_id": 12721, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "Ya", "session_id": 12721, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "Then the area would bebe 25", "session_id": 12721, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "Oh okay", "session_id": 12721, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "Then the area would be 25*", "session_id": 12721, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "Thank you", "session_id": 12721, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "If its a cube the surface area would be 6 times the area of one face", "session_id": 12721, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "How?", "session_id": 12721, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "so u have the area of one square and times it by the amount of faces on a cube which is six", "session_id": 12721, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "Ohhh ", "session_id": 12721, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "Does that make sence? Im not sure if it does.", "session_id": 12721, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "Alex it does", "session_id": 12721, "sequence_id": 35, "annotations": [{"pii_type": "PERSON", "surrogate": "Alex", "start": 0, "end": 4}]}
{"role": "student", "content": "Yes", "session_id": 12721, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "Ok is that all u struggled with r is there more?", "session_id": 12721, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "No im finee", "session_id": 12721, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "Thank you though!", "session_id": 12721, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "Ok then bye", "session_id": 12721, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "hiiii", "session_id": 13085, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "Hello Ben How are we doing?", "session_id": 13085, "sequence_id": 1, "annotations": [{"pii_type": "PERSON", "surrogate": "Ben", "start": 6, "end": 9}]}
{"role": "student", "content": "doing goodddd", "session_id": 13085, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "What seems to be the problem?", "session_id": 13085, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "how about uuuu", "session_id": 13085, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "Good", "session_id": 13085, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "i just wanted u to check my answers", "session_id": 13085, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "Ok Give me your questions and answers on the board:)", "session_id": 13085, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "Ben", "session_id": 13085, "sequence_id": 8, "annotations": [{"pii_type": "PERSON", "surrogate": "Ben", "start": 0, "end": 3}]}
{"role": "student", "content": "i just uploaded it", "session_id": 13085, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "ok:)", "session_id": 13085, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "Give me a min", "session_id": 13085, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "take ur time", "session_id": 13085, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "Alright your # rd question seems to be wrong", "session_id": 13085, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "Lets work on it", "session_id": 13085, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "Hello Ben?", "session_id": 13085, "sequence_id": 15, "annotations": [{"pii_type": "PERSON", "surrogate": "Ben", "start": 6, "end": 9}]}
{"role": "student", "content": "whats the rd question", "session_id": 13085, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "3 rd question", "session_id": 13085, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "So in this question we know that A is between Y and Z", "session_id": 13085, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "So YZ is double of YA", "session_id": 13085, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "i need to go", "session_id": 13085, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "i have a midterm this class", "session_id": 13085, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "alright hope you figure it out", "session_id": 13085, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "Good luck :)", "session_id": 13085, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "thank u and i will try to have a good day", "session_id": 13085, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "Hello", "session_id": 16468, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "Alice, can you hear me", "session_id": 16468, "sequence_id": 1, "annotations": [{"pii_type": "PERSON", "surrogate": "Alice", "start": 0, "end": 5}]}
{"role": "volunteer", "content": "Or Bob, can you hear me", "session_id": 16468, "sequence_id": 2, "annotations": [{"pii_type": "PERSON", "surrogate": "Bob", "start": 3, "end": 6}]}
{"role": "student", "content": "No I can\u2019t, sorry", "session_id": 16468, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "OK, no worries. Do you wanna pause to geometry questions on the board.", "session_id": 16468, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "Do you want help with the concept?", "session_id": 16468, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "or a question", "session_id": 16468, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "or lots of questions", "session_id": 16468, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "I just wanted to know the difference between multiplication, division, subtraction and addition factors in geometry for proofs", "session_id": 16468, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "Like how can I tell?", "session_id": 16468, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "Sure", "session_id": 16468, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "If you could show me on the board it\u2019d be awesome", "session_id": 16468, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "Uh, let me try to understand the question better. Uh, what do you mean by addition, division, multiplication factors.", "session_id": 16468, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "Are you referring to", "session_id": 16468, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "congruent triangles, similar triangles.", "session_id": 16468, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "Like for properties ", "session_id": 16468, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "or are you referring to some of angles.", "session_id": 16468, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "Give me an example", "session_id": 16468, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "Like if 2 segments are congruent then their multiples are congruent ", "session_id": 16468, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "Like just properties ", "session_id": 16468, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 16468, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "Do you mean postulates?", "session_id": 16468, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "I can help you with that", "session_id": 16468, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "Yesss", "session_id": 16468, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "OK.", "session_id": 16468, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "So if you have uh line", "session_id": 16468, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "A B C.", "session_id": 16468, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "and all the points, ABC or Collinear.", "session_id": 16468, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "because they are on the line", "session_id": 16468, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "and AB", "session_id": 16468, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "SPC", "session_id": 16468, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "called AC", "session_id": 16468, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "That's one", "session_id": 16468, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "Is that clear", "session_id": 16468, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "That's the addition postulate", "session_id": 16468, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "The other one is", "session_id": 16468, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "yeah, go ahead, type your message", "session_id": 16468, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "Okay ", "session_id": 16468, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "So subtraction would just be the opposite?", "session_id": 16468, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "Is that clear", "session_id": 16468, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "Hello, can you", "session_id": 16468, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "Did I lose you", "session_id": 16468, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "OK, that's the additional subtraction postulates.", "session_id": 16468, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "Anything else", "session_id": 16468, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "Hi there Jamie! How are you doing today?", "session_id": 16552, "sequence_id": 0, "annotations": [{"pii_type": "PERSON", "surrogate": "Jamie", "start": 9, "end": 14}]}
{"role": "student", "content": "I'm doing okay! How are you doing?", "session_id": 16552, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "I'm great, thanks! Are you having any trouble with your work?", "session_id": 16552, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "yes.", "session_id": 16552, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "I see. What seems to be the problem?", "session_id": 16552, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "I'm not really understanding if I'm supposed to be multiplying to find the scale factor", "session_id": 16552, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "I see. I'm familiar with the scale factor, but could you tell me the exact nature of the problem you are stuck on?", "session_id": 16552, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "yes. the problem reads: Kevin measured a petting zoo and made a scale drawing. The scale he used was 7 centimeters : 6 meters. If the actual length of the goat pen is 18 meters, how long is the pen in the drawing?", "session_id": 16552, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "I see! Thank you, that is very helpful.", "session_id": 16552, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "For these type of problems, I like to try and make a sketch of my own, to help me visualize it. Have you tried that?", "session_id": 16552, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "yeah and I still don't really get it", "session_id": 16552, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "Okay!", "session_id": 16552, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "Since the pen is 18 meters in real life, we need to find the scale factor in order to find the length of the drawing.", "session_id": 16552, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "I understand that is what you asked at the start, but let me try to explain it. In this situation, think of the length of the actual pen as being multiplied by the scale factor.", "session_id": 16552, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "ohhhh now I get it", "session_id": 16552, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "Great! Try solving it and check back with me when you finish!", "session_id": 16552, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "I got it thanks have a good day. goodbye", "session_id": 16552, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "Great! Have a nice day!", "session_id": 16552, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "Morning", "session_id": 12523, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "good morning to you too", "session_id": 12523, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "what problems you need help with", "session_id": 12523, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "not anything specific", "session_id": 12523, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "ohurwe[iur", "session_id": 12523, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "oh?", "session_id": 12523, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "what topics thn?", "session_id": 12523, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "2+2", "session_id": 12523, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "4", "session_id": 12523, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "woah your soooooo smart", "session_id": 12523, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "how do I favorite you", "session_id": 12523, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "Hi", "session_id": 12667, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "hi", "session_id": 12667, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "what do you need help with", "session_id": 12667, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "factoring trinomials", "session_id": 12667, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "can you see the image?", "session_id": 12667, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "Yes", "session_id": 12667, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "Before I help can you tell me what you know about this", "session_id": 12667, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "umm", "session_id": 12667, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "i know like i forgot what its called but like something is supposted to multiply to become a b or c and then add to b", "session_id": 12667, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "im in alg 2 now and i forgot a lot abt alg 1", "session_id": 12667, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "Ok can you try number 1 so i see where you get stuck", "session_id": 12667, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "yeah idk", "session_id": 12667, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "im not even sure where to start", "session_id": 12667, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "Ok so to start do you know how you get the b value", "session_id": 12667, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "i thought it was like the multiples of c added together idk how to explain it", "session_id": 12667, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "or like what makes up -5 but added", "session_id": 12667, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "Ok so close but to find b what you do first is multiply 3x-5 so what would that be first", "session_id": 12667, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "?", "session_id": 12667, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "So first what is 3 time -5", "session_id": 12667, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "-15", "session_id": 12667, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "Exactly now what time what gets you -15", "session_id": 12667, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "So what do you multiply to get -15 that if added equals -2", "session_id": 12667, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "-5 and 3", "session_id": 12667, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "Exactly so now you do you want me to show you how to write the answer", "session_id": 12667, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "sure", "session_id": 12667, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "So now what does -5x1x and 3x x", "session_id": 12667, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "Does that make sense", "session_id": 12667, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "no", "session_id": 12667, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "Step 1:\nMultiply the first number and the last number:\n3 \u00d7 \u20135 = \u201315\nStep 2:\nFind two numbers that multiply to \u201315 and add to \u20132 (the middle number).\nThat\u2019s \u20135 and +3", "session_id": 12667, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "yes i  got that", "session_id": 12667, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "Ok then you just want to fit the numbers in a spot", "session_id": 12667, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "so you said -5+3=-2", "session_id": 12667, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "So if I multiply -5x1 and 3x x I would end up with -5x+3x= -2x which was originally our b value", "session_id": 12667, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "does that make more sense", "session_id": 12667, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "yea", "session_id": 12667, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "ok so now you should try #2", "session_id": 12667, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "Then I\u2019ll correct you if needed", "session_id": 12667, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "im confused", "session_id": 12667, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "i dont see what number to use", "session_id": 12667, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "What do you mean for number 2", "session_id": 12667, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "yes", "session_id": 12667, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "The equation you have to factor out is 3n^2 -8n +4", "session_id": 12667, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "no number 2", "session_id": 12667, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "Oh just do number 3 for now tyen", "session_id": 12667, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "Then*", "session_id": 12667, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "i dont know", "session_id": 12667, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "\ud83d\ude13", "session_id": 12667, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "Ok where are you getting stuck so I know ere to start explaining from", "session_id": 12667, "sequence_id": 47, "annotations": []}
{"role": "student", "content": "i cant see where it multiples to four and adds to -8", "session_id": 12667, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "Ok so if you add 6-+-2 what you get", "session_id": 12667, "sequence_id": 49, "annotations": []}
{"role": "student", "content": "-8", "session_id": 12667, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "exactly so why is 6/3", "session_id": 12667, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "What*", "session_id": 12667, "sequence_id": 52, "annotations": []}
{"role": "student", "content": "2", "session_id": 12667, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "Exactly o how do you think you can put 2 in the equation twice", "session_id": 12667, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "Like what is your best guess", "session_id": 12667, "sequence_id": 55, "annotations": []}
{"role": "student", "content": "by multiplying i have no idea", "session_id": 12667, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "Ok if you know (3x-?)(x-?) then what do you think you can sub if for the blanks to get the original equation", "session_id": 12667, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "Like what value did you find earlier", "session_id": 12667, "sequence_id": 58, "annotations": []}
{"role": "student", "content": "im sorry i genuinely have no idea whats happening right now \ud83d\ude2d its not your fault i just dont understand algebra", "session_id": 12667, "sequence_id": 59, "annotations": []}
{"role": "student", "content": "maybe i can try with easier questions", "session_id": 12667, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "No don\u2019t worry I understand this is not a very easy topic to explain when not in person", "session_id": 12667, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "Have you ever learned the area model", "session_id": 12667, "sequence_id": 62, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 12667, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "Cause many students understand using that method more than the one I\u2019ve been explaining", "session_id": 12667, "sequence_id": 64, "annotations": []}
{"role": "student", "content": "but it was awhile ago so i might need to relearn", "session_id": 12667, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "Ok do you know how the area model works", "session_id": 12667, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "That\u2019s completely fine but show em what you know so far", "session_id": 12667, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "I can give you an easier question if you want", "session_id": 12667, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "Exactly so what eqaution do you think that factored", "session_id": 12667, "sequence_id": 69, "annotations": []}
{"role": "student", "content": "4x^2 + 10x +6", "session_id": 12667, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "Exactly so do you think you could use that method to solve the earlier question we had", "session_id": 12667, "sequence_id": 71, "annotations": []}
{"role": "student", "content": "ill try \ud83d\ude13", "session_id": 12667, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "Don\u2019t worry if you get stuck I\u2019ll help", "session_id": 12667, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "Ok so for the squares with 4x are not correct try doing multiplication and find the right number", "session_id": 12667, "sequence_id": 74, "annotations": []}
{"role": "volunteer", "content": "But you were very close", "session_id": 12667, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "Do you need help", "session_id": 12667, "sequence_id": 76, "annotations": []}
{"role": "student", "content": "yes", "session_id": 12667, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "Ok so first list out what pairs can multiply to 12", "session_id": 12667, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "Ok so which pair do you think we can automatically rule out", "session_id": 12667, "sequence_id": 79, "annotations": []}
{"role": "student", "content": "1 and 12", "session_id": 12667, "sequence_id": 80, "annotations": []}
{"role": "volunteer", "content": "Yes now theres one more pair so what do you think", "session_id": 12667, "sequence_id": 81, "annotations": []}
{"role": "student", "content": "3 and 4", "session_id": 12667, "sequence_id": 82, "annotations": []}
{"role": "volunteer", "content": "yes so now try plugging 6 and 2 in the open boxes and then tell me if when you multiply it out do you get the same equation", "session_id": 12667, "sequence_id": 83, "annotations": []}
{"role": "student", "content": "i have to go", "session_id": 12667, "sequence_id": 84, "annotations": []}
{"role": "student", "content": "thanks for the help", "session_id": 12667, "sequence_id": 85, "annotations": []}
{"role": "volunteer", "content": "Of course have a good day", "session_id": 12667, "sequence_id": 86, "annotations": []}
{"role": "volunteer", "content": "Hi again Mia", "session_id": 12751, "sequence_id": 0, "annotations": [{"pii_type": "PERSON", "surrogate": "Mia", "start": 9, "end": 12}]}
{"role": "student", "content": "oh heyyy", "session_id": 12751, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "so I need help with preparing for my test soon", "session_id": 12751, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "OK, do you have some sample problems?", "session_id": 12751, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "umm sorta we are learning about shapes and stuff let me draw a refrance", "session_id": 12751, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "that's one of the questions", "session_id": 12751, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "OK. Does it say that the triangles are similar? What is it asking?", "session_id": 12751, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "You can upload it if you want", "session_id": 12751, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "its asking whats similar and we could round to the nearest 10 if we need to", "session_id": 12751, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "Can you upload it?", "session_id": 12751, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "I think some information is missing", "session_id": 12751, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "yeah one sec", "session_id": 12751, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "I gotta go can we talk later", "session_id": 12751, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 12751, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "Bye", "session_id": 12751, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "byeeeeee", "session_id": 12751, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "Hello!", "session_id": 12893, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "Hi Ben!", "session_id": 12893, "sequence_id": 1, "annotations": [{"pii_type": "PERSON", "surrogate": "Ben", "start": 3, "end": 6}]}
{"role": "volunteer", "content": "How can I help you?", "session_id": 12893, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "So I want to rework on the problems that I did in class with my teacher because I am still confused on them and I am very terrible with some of these problems. I am kinda familiar with the concept but not really. Can you go over the same problems like in order from the pdf that I did in class. I am currently on page 2 problem 9! Can you help me with reworking the same problem and then create one from scratch just like it but with different numbers & vairables. I want to do it in order from the second page. Here's the pdf link to access it: https://mathdocs.org/algebra_problems.pdf", "session_id": 12893, "sequence_id": 3, "annotations": [{"pii_type": "URL", "surrogate": "https://mathdocs.org/algebra_problems.pdf", "start": 546, "end": 587}]}
{"role": "volunteer", "content": "I am on the pdf!", "session_id": 12893, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "Ok!", "session_id": 12893, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "You did problem 9 correctly. Would you like me to give you another problem with grouping?", "session_id": 12893, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "I did it in class with the teacher thats why its correct I want to redo the problem and then have a problem just like that one w diff numbers", "session_id": 12893, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 12893, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "Let's go through this problem again.", "session_id": 12893, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "ok", "session_id": 12893, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "x+2 is the gcf", "session_id": 12893, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "This problem is a special case because we actually want to group the first three terms together and then leave the last one by itself because that one is already an easy perfect square", "session_id": 12893, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "oh nvm i didnt have the prompt so i forgot", "session_id": 12893, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "-2+-2=-4", "session_id": 12893, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "Yes, and we do this specifically to get two perfect squares", "session_id": 12893, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "Nice! So the first group simplifies to (x-2)^2", "session_id": 12893, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "And what does the second group simplify to?", "session_id": 12893, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "umm uhh", "session_id": 12893, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "the middle number is a -4 not pos", "session_id": 12893, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "Yes, but that still works because we are using -2, and -2-2 = -4 like you mentioned before", "session_id": 12893, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "ok", "session_id": 12893, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "oh right", "session_id": 12893, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "Sarah!!", "session_id": 12938, "sequence_id": 0, "annotations": [{"pii_type": "PERSON", "surrogate": "Sarah", "start": 0, "end": 5}]}
{"role": "volunteer", "content": "How can I help you todayy", "session_id": 12938, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "We are learning about probability and I am doing my homework assignment ", "session_id": 12938, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "okayyy do you need help on specific questions or like a concept you need??", "session_id": 12938, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "Yes do you want me to tell you the question on my homework?", "session_id": 12938, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "suree we can learn from there", "session_id": 12938, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "Wait I think I got it ", "session_id": 12938, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "Sorry", "session_id": 12938, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "Thanks for helping", "session_id": 12938, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "no problemm if you got more questions just make another requestt", "session_id": 12938, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "have a good dayy!! byee", "session_id": 12938, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "Ok thank you", "session_id": 12938, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "Afternoon", "session_id": 14551, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "Hello, how are you doing today?", "session_id": 14551, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "I feel like I'm about to crash out tbh. But for your sake, I won't get into details.", "session_id": 14551, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "Well I hope things get better", "session_id": 14551, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "I doubt it, but I appreciate the sentiment", "session_id": 14551, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "You want to solve this?", "session_id": 14551, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "Sure, I'll try", "session_id": 14551, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "I already the work for you. Just set each part of this equal to 0.", "session_id": 14551, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "Okay, but the part that I was confused about was setting up this step", "session_id": 14551, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "care to solve now?", "session_id": 14551, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "Congrats. You found the roots of the equation.", "session_id": 14551, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "I was saying that I know how to find the roots from that second step. I'm not sure how to factor the equation to that second step though.", "session_id": 14551, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "Oh", "session_id": 14551, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "Well, we need two numbers that have a sum of -5 and a product of 6", "session_id": 14551, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "and since there's a negative, we also need to consider the possibility of negative numbers", "session_id": 14551, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "Okay", "session_id": 14551, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "Want to try it?", "session_id": 14551, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "Sure", "session_id": 14551, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "I'm not sure if that would be right", "session_id": 14551, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "no", "session_id": 14551, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "try again", "session_id": 14551, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "dingding", "session_id": 14551, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "Youre on the right track", "session_id": 14551, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "Okay, great!", "session_id": 14551, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "Now continue", "session_id": 14551, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "Sorry that took so long. I think I understand now.", "session_id": 14551, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "There", "session_id": 14551, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "How did you get the second expression? Did you factor out a 2?", "session_id": 14551, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 14551, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "Okay, got it.", "session_id": 14551, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "Thank you for your help.", "session_id": 14551, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "Any more?", "session_id": 14551, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "No, that will be all.", "session_id": 14551, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "Okay", "session_id": 14551, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "Before we go, I want to ask you something", "session_id": 14551, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "Have you ever had your heart set on a big event, only to find out that due to circumstances beyond your control, you might not get to participate in it?", "session_id": 14551, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "I'm sure that I definitely have experienced that before. It can be very disappointing, but if you think about the fact that you could have many opportunities in the future, that can make it less disappointing.", "session_id": 14551, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "Nah, this is a once in a lifetime event.", "session_id": 14551, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "I'm talking about one of the biggest movies of the year, one that I'm pretty sure you're too young to see, and it won't hit streaming until 2027.", "session_id": 14551, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "Oh okay, unfortunately, that is a part of like sometimes. Try not to focus too much on it (even though it will not be easy). Try and do other things to take your mind off of it.", "session_id": 14551, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "I'll try. But my birthday was two days ago, and I really wanted to see that movie.", "session_id": 14551, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "That makes sense, but like you said, some things are beyond our control. Even though you really wanted to see that movie, you can't, and you can't really do anything about that. So instead of focusing on that, maybe try and find another movie?", "session_id": 14551, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "Movies suck these days", "session_id": 14551, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "And this is something I suffered the entire year thus far for.", "session_id": 14551, "sequence_id": 43, "annotations": []}
{"role": "student", "content": "Well, that happens sometimes, it will get better even if it seems like it is the end of the world right now. \ud83d\udc4d", "session_id": 14551, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "If movies aren't good, try to find another hobby. There are many things you could do.", "session_id": 14551, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "I'll see what I can do. I'll let you go now.", "session_id": 14551, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "Okay, I hope you find something :). Have a great day, bye!", "session_id": 14551, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "Hey Alex!", "session_id": 12427, "sequence_id": 0, "annotations": [{"pii_type": "PERSON", "surrogate": "Alex", "start": 4, "end": 8}]}
{"role": "student", "content": "Hi!!!", "session_id": 12427, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "What topic for 8th grade math do we want to work on today?", "session_id": 12427, "sequence_id": 2, "annotations": [{"pii_type": "GRADE_LEVEL", "surrogate": "8th grade", "start": 15, "end": 24}]}
{"role": "volunteer", "content": "And also is it for homework, studying, or just questions", "session_id": 12427, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "Ratios. My teacher says there is a quiz coming up but we didn't really go over it. I don't understand it at all.", "session_id": 12427, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "Sure! I can definetely help you", "session_id": 12427, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "I'm going to go ahead and pull up some practice problems for you and we can work through it together", "session_id": 12427, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "Thank you!", "session_id": 12427, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "Just to clarify, are we talking about simplifying and converting ratios or finding ratios from word problems", "session_id": 12427, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "Unit ratios", "session_id": 12427, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "Is it fine with you if I turn my mic on", "session_id": 12427, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "Yes please!", "session_id": 12427, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "Hey there, Alex, can you let me know if you can hear me, please?", "session_id": 12427, "sequence_id": 12, "annotations": [{"pii_type": "PERSON", "surrogate": "Alex", "start": 11, "end": 15}]}
{"role": "volunteer", "content": "Just checking in with you. I wanna make sure you hear, uh, you can hear me, so that way I can explain the problems to you. If you can't hear me, can you please let me know?", "session_id": 12427, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "Hey Alex, since I haven\u2019t heard back, I\u2019m going to wrap up for now. If you still need help with ratios or anything else, I think this chat will still be open even after I close it. Have a great day!", "session_id": 12427, "sequence_id": 14, "annotations": [{"pii_type": "PERSON", "surrogate": "Alex", "start": 4, "end": 8}]}
{"role": "volunteer", "content": "1. Part-to-Part Ratio\nThis compares two parts of a whole.\n\nExample:\nA fruit bowl has 12 apples and 8 oranges. Ratio of apples to oranges = \n12:8\n\nSimplify by dividing both numbers by their GCF (greatest common factor), which is 4:\n\n12\u00f74=3,8\u00f74=2\n\u2705 Simplified ratio: 3:2\n\n2. Part-to-Whole Ratio\nThis compares one part to the total.\n\nExample:\nSame fruit bowl: 12 apples + 8 oranges = 20 fruits Ratio of apples to total fruit = 12:20\n\nSimplify:\n\n12\u00f74=3,20\u00f74=5\n\u2705 Simplified ratio: 3:5\n\n 3. Part-to-Part-to-Whole Ratio\nThis compares each part to the whole, showing all relationships.\n\nExample:\n12 apples, 8 oranges \u2192 total = 20 fruits Ratio of apples to oranges to total = \n12:8:20\n\nSimplify all three by dividing by 4:\n\n12\u00f74=3,8\u00f74=2,20\u00f74=5\n\u2705 Simplified ratio: 3:2:5", "session_id": 12427, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "Hey Alex! This is your tutor. I haven't heard back from you so I'm going to close the session. Here are some helpful tips for ratoios:", "session_id": 12427, "sequence_id": 16, "annotations": [{"pii_type": "PERSON", "surrogate": "Alex", "start": 4, "end": 8}]}
{"role": "volunteer", "content": "1. Part-to-Part Ratio\nThis compares two parts of a whole.\n\nExample:\nA fruit bowl has 12 apples and 8 oranges. Ratio of apples to oranges =\n12:8\n\nSimplify by dividing both numbers by their GCF (greatest common factor), which is 4:\n\n12\u00f74=3,8\u00f74=2\n\u2705 Simplified ratio: 3:2\n\n2. Part-to-Whole Ratio\nThis compares one part to the total.\n\nExample:\nSame fruit bowl: 12 apples + 8 oranges = 20 fruits Ratio of apples to total fruit = 12:20\n\nSimplify:\n\n12\u00f74=3,20\u00f74=5\n\u2705 Simplified ratio: 3:5\n\n3. Part-to-Part-to-Whole Ratio\nThis compares each part to the whole, showing all relationships.\n\nExample:\n12 apples, 8 oranges \u2192 total = 20 fruits Ratio of apples to oranges to total =\n12:8:20\n\nSimplify all three by dividing by 4:\n\n12\u00f74=3,8\u00f74=2,20\u00f74=5\n\u2705 Simplified ratio: 3:2:5", "session_id": 12427, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "Here are some helpful tips", "session_id": 12427, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "Hi Alice", "session_id": 12544, "sequence_id": 0, "annotations": [{"pii_type": "PERSON", "surrogate": "Alice", "start": 3, "end": 8}]}
{"role": "volunteer", "content": "Welcome to Tutor Provider. How may I help you?", "session_id": 12544, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "I need to find the derivative of x/sqrtx^2+1", "session_id": 12544, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "OK. I'll write it on the board. Did you learn the \"quotient rule\" ?", "session_id": 12544, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 12544, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "Is that the function you want to differentiate?", "session_id": 12544, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 12544, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "I'll write the quotient rule on the board. Then we'll apply it to your problem.", "session_id": 12544, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "OK so far?", "session_id": 12544, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 12544, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "The derivative of u is du/dx or u' = 1. What is the derivative of v = v' = ?", "session_id": 12544, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "That\u2019s what I have do far", "session_id": 12544, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "So far", "session_id": 12544, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "I'm checking your answer...", "session_id": 12544, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "I\u2019m not done yet I dont know what to do after that", "session_id": 12544, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "Your calculation is correct so far. All you need to do is simplify a bit more.", "session_id": 12544, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "Idk how", "session_id": 12544, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "I'll show you the next step.", "session_id": 12544, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "On the numerator, we want to add two fractions. We look for the common denominator.", "session_id": 12544, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "OK so far?", "session_id": 12544, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 12544, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "Can you continue?", "session_id": 12544, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "I don\u2019t understand that", "session_id": 12544, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "Can you circle the part you don't understand on the board? Then I'll add more details to explain.", "session_id": 12544, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "OK.", "session_id": 12544, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "If you look at the line above, the square root and the square (^2) cancel out, correct? See the pink color.", "session_id": 12544, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 12544, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "Oh oh I get it", "session_id": 12544, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "Awesome!", "session_id": 12544, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "You multiplied by the reciprocal", "session_id": 12544, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "Got it", "session_id": 12544, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "Correct.", "session_id": 12544, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "I'll continue lower on the board.", "session_id": 12544, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "I get it now", "session_id": 12544, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "I didn\u2019t know I need to do all that fraction stuff", "session_id": 12544, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "There's a lot of algebra in calculus!", "session_id": 12544, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "Yes well thank you so much", "session_id": 12544, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "You're welcome. We can end the session. Have a great day!", "session_id": 12544, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "You too", "session_id": 12544, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "Hello, what can I help you with?", "session_id": 13019, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "I'm new to Tutor Provider, and I just want to learn something", "session_id": 13019, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "Amazing! What would you like to learn?", "session_id": 13019, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "anything really I just want to learn to help me in school", "session_id": 13019, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "Sounds good! In 9th grade, a concept that really helped me was learning about slope, and about lines. Have you started learning about that?", "session_id": 13019, "sequence_id": 4, "annotations": [{"pii_type": "GRADE_LEVEL", "surrogate": "9th grade", "start": 16, "end": 25}]}
{"role": "student", "content": "yeah we have and I dont full understand it", "session_id": 13019, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "Okay then I will help you understand it!", "session_id": 13019, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "Do you know what a graph is, like where the x and y axis are?", "session_id": 13019, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "Actually I have to go I'm sorry but thaink you for your time and for trying to help me.", "session_id": 13019, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "Okay!", "session_id": 13019, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "Bye", "session_id": 13019, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "bye", "session_id": 13019, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "hi", "session_id": 16751, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "can u help", "session_id": 16751, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "Hi Alex. How can I help you?", "session_id": 16751, "sequence_id": 2, "annotations": [{"pii_type": "PERSON", "surrogate": "Alex", "start": 3, "end": 7}]}
{"role": "student", "content": "my ixl is hard", "session_id": 16751, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "Go ahead. What's the problem", "session_id": 16751, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "there", "session_id": 16751, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "Let me take a look", "session_id": 16751, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "OK. So here it is talking about the cupcakes and the profit. So if she makes 47 cupcakes, she makes $15 profit, right?", "session_id": 16751, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "ye", "session_id": 16751, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "Right. So, what is the, uh, so they are asking us according to the values on the table, do X and Y have proportional relationship, proportional means that their ratio is the same.", "session_id": 16751, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "ik", "session_id": 16751, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "So the ratio in the first record is 47 by 15.", "session_id": 16751, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "right?", "session_id": 16751, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "yes", "session_id": 16751, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "So the ratio in the second record is 49 by 23.", "session_id": 16751, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 16751, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "So what we have to see is, is 49 by 23, same as 47 by 15.", "session_id": 16751, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "/uhhh", "session_id": 16751, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "/ok", "session_id": 16751, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "Yeah, you can use your calculator also, but this ratio is not the same.", "session_id": 16751, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "ok", "session_id": 16751, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "So 47 by", "session_id": 16751, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "47/15 != 49/23", "session_id": 16751, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "15 is not equal to 49 by 23, and same way you can look at the ratio.", "session_id": 16751, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "for the other records, which is not the same as 54 by 43, and it is not", "session_id": 16751, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "equal to 60 by 67.", "session_id": 16751, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "So, but they're saying is our x and y proportion they do they have proportional relationships. They are asking, is the ratio between x and y the same? Does that make sense?", "session_id": 16751, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "I know", "session_id": 16751, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "I just couldn't find out if they were the same", "session_id": 16751, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "Yeah, so, uh, see this, uh, these numbers are not too straightforward. So you can use your calculator. So if you say 47 divide by 15 on a calculator. What do you get?", "session_id": 16751, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "3.13333333333333333333333333333333333333333333333333333333333333333333", "session_id": 16751, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "Right. So now let's do 49 divide by 23.", "session_id": 16751, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "2.130...", "session_id": 16751, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "right? So 3.13 is not the same as 2.13, right?", "session_id": 16751, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "yea", "session_id": 16751, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "So they are not proportional.", "session_id": 16751, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "/ok", "session_id": 16751, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "Anything else, Alex", "session_id": 16751, "sequence_id": 37, "annotations": [{"pii_type": "PERSON", "surrogate": "Alex", "start": 15, "end": 19}]}
{"role": "student", "content": "uhh", "session_id": 16751, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "yeah one more", "session_id": 16751, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "Go ahead", "session_id": 16751, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "Hello. Hey, I think you give me 10 minutes, I'll call you back.", "session_id": 16751, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "ok", "session_id": 16751, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "OK, OK", "session_id": 16751, "sequence_id": 43, "annotations": []}
{"role": "student", "content": "oops", "session_id": 16751, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "I broke it", "session_id": 16751, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "OK. Sorry about that. I got another call.", "session_id": 16751, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "OK, yeah. So we were talking about that uh problem, right? So now the second problem is similar to the first one.", "session_id": 16751, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "You are there, right, Alex", "session_id": 16751, "sequence_id": 48, "annotations": [{"pii_type": "PERSON", "surrogate": "Alex", "start": 22, "end": 26}]}
{"role": "volunteer", "content": "Alex, are you there", "session_id": 16751, "sequence_id": 49, "annotations": [{"pii_type": "PERSON", "surrogate": "Alex", "start": 0, "end": 4}]}
{"role": "student", "content": "yes", "session_id": 16751, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "OK. Yeah, so this is similar to the previous problem. Here the table shows the relationship between the number of school days, the driver has been driving the bus, and the total number of miles the bus has been driven, right?", "session_id": 16751, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "Alex", "session_id": 16751, "sequence_id": 52, "annotations": [{"pii_type": "PERSON", "surrogate": "Alex", "start": 0, "end": 4}]}
{"role": "student", "content": "yummy cupcake", "session_id": 16751, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "So now the first row says in one day,", "session_id": 16751, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "a he wrote 33 miles.", "session_id": 16751, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "So the ratio is 1 by 33, right?", "session_id": 16751, "sequence_id": 56, "annotations": []}
{"role": "student", "content": "yes", "session_id": 16751, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "Right. So the next uh record shows in 2 days, uh, he, uh, drove 46 miles, so 2 by 46, can you simplify 2 by 46?", "session_id": 16751, "sequence_id": 58, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 16751, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "Try dividing both numerator and denominator by 2.", "session_id": 16751, "sequence_id": 60, "annotations": []}
{"role": "student", "content": "my wifi is bad rn cuz hotspot", "session_id": 16751, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "No problem", "session_id": 16751, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "Let me know if you want me to repeat it.", "session_id": 16751, "sequence_id": 63, "annotations": []}
{"role": "student", "content": "ok", "session_id": 16751, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "Right. So can you simplify 2 by 46?", "session_id": 16751, "sequence_id": 65, "annotations": []}
{"role": "student", "content": "yes", "session_id": 16751, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "Go ahead", "session_id": 16751, "sequence_id": 67, "annotations": []}
{"role": "student", "content": "23", "session_id": 16751, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "What does it simplify to?", "session_id": 16751, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "Right. So 1 by 23.", "session_id": 16751, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "2/46 = 1/23", "session_id": 16751, "sequence_id": 71, "annotations": []}
{"role": "student", "content": "yea", "session_id": 16751, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "So 1 by 23 is not the same as 1 by 33.", "session_id": 16751, "sequence_id": 73, "annotations": []}
{"role": "student", "content": "yes", "session_id": 16751, "sequence_id": 74, "annotations": []}
{"role": "student", "content": "I agre", "session_id": 16751, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "Do you agree? In the first record, the ratio was 1 by 33 in the second one, the ratio is 1 by 23.", "session_id": 16751, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "So again, the answer is no. The X and Y are not proportional in this case either.", "session_id": 16751, "sequence_id": 77, "annotations": []}
{"role": "student", "content": "oh Alex", "session_id": 16751, "sequence_id": 78, "annotations": [{"pii_type": "PERSON", "surrogate": "Alex", "start": 3, "end": 7}]}
{"role": "volunteer", "content": "OK.", "session_id": 16751, "sequence_id": 79, "annotations": []}
{"role": "student", "content": "well", "session_id": 16751, "sequence_id": 80, "annotations": []}
{"role": "student", "content": "that's all", "session_id": 16751, "sequence_id": 81, "annotations": []}
{"role": "volunteer", "content": "We can continue with the next ones also, but just the first two don't match. This means we, the answer is no.", "session_id": 16751, "sequence_id": 82, "annotations": []}
{"role": "volunteer", "content": "OK, that's it. Perfect.", "session_id": 16751, "sequence_id": 83, "annotations": []}
{"role": "volunteer", "content": "All the best for tomorrow.", "session_id": 16751, "sequence_id": 84, "annotations": []}
{"role": "student", "content": "ITS CHRISTMAS", "session_id": 16751, "sequence_id": 85, "annotations": []}
{"role": "student", "content": "bye", "session_id": 16751, "sequence_id": 86, "annotations": []}
{"role": "volunteer", "content": "Bye.", "session_id": 16751, "sequence_id": 87, "annotations": []}
{"role": "volunteer", "content": "hiii", "session_id": 17166, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "what can i help you today", "session_id": 17166, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "I need help setting up and equation form points in a graph", "session_id": 17166, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "okok do you have any question from school like hw or classwork", "session_id": 17166, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "so i can explain to you", "session_id": 17166, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "My question is write the equation of the line that passes through (-6,3) and (2,-1).", "session_id": 17166, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "Okay so we have two points now", "session_id": 17166, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "we can find slope", "session_id": 17166, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "do you know the formula for slope", "session_id": 17166, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "y=mx+b", "session_id": 17166, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "thats equation", "session_id": 17166, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "slope", "session_id": 17166, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "is m", "session_id": 17166, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "in equation", "session_id": 17166, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "i showed the formula on the board", "session_id": 17166, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "can you try to put two points in formula and find the slope", "session_id": 17166, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "the number in parentheses means one point", "session_id": 17166, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "yess", "session_id": 17166, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "so we know slope now, means we know m", "session_id": 17166, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "and we need to find b", "session_id": 17166, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "So do I plug it into the equation I told you about", "session_id": 17166, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "there are two ways you can do", "session_id": 17166, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "one is you put two points in the equation you showed", "session_id": 17166, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "another one is what i wrote on the board", "session_id": 17166, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "i showed both way on the board", "session_id": 17166, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "can you get it", "session_id": 17166, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "Yea so you used point slope formula also", "session_id": 17166, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "What if you have a point and that point is perpendicular to two other points", "session_id": 17166, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "yeah okay perpendicular means the slope will change", "session_id": 17166, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "we use this quesion for example", "session_id": 17166, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "first we need to flip the fraction", "session_id": 17166, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "and then change the sign", "session_id": 17166, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "if we wanna check is when they multiply, it will be -1", "session_id": 17166, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "can you get it", "session_id": 17166, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "I don\u2019t understand the last part you said", "session_id": 17166, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "we can do another number", "session_id": 17166, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "for example, we have slope -3/5", "session_id": 17166, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "the perpendicular slope", "session_id": 17166, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "so we get +5/3", "session_id": 17166, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "ohhh I get it now", "session_id": 17166, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "Can you help me on another problem for my hw", "session_id": 17166, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "yeah ofc", "session_id": 17166, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "The question is to write the equation of the line that passes through (5,-1) and is perpendicular to the line that passes through (-3, -13) and (6,2)", "session_id": 17166, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "first we find the slope of the line that passes through two points", "session_id": 17166, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "can you try on the board", "session_id": 17166, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "use slope formula", "session_id": 17166, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "Okayy", "session_id": 17166, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "okay and then we know is perpendicualr", "session_id": 17166, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "so we can find another line's slope", "session_id": 17166, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "yess", "session_id": 17166, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "and then put number in equation y=mx+b", "session_id": 17166, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "you can find b and equation", "session_id": 17166, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "put 5,-1", "session_id": 17166, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "or the way i wrote, which one do you preferred", "session_id": 17166, "sequence_id": 53, "annotations": []}
{"role": "student", "content": "What do I do now after I plug in the values", "session_id": 17166, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "x is 5", "session_id": 17166, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "yeah and now b is the only number you dont know", "session_id": 17166, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "do you get it", "session_id": 17166, "sequence_id": 57, "annotations": []}
{"role": "student", "content": "Yes so when I have an equation like that I find the slope of the two points then plug in the slope and one of the points into the y=mx+b", "session_id": 17166, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "yess", "session_id": 17166, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "i can give you a similar question if you wanna practice more", "session_id": 17166, "sequence_id": 60, "annotations": []}
{"role": "student", "content": "Yes please", "session_id": 17166, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "The question is to write the equation of the line that passes through (4,7) and is perpendicular to the line that passes through (1,2) and (5,10)", "session_id": 17166, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "you forgot something", "session_id": 17166, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "it is perpendicualr", "session_id": 17166, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "perpendicular", "session_id": 17166, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "so the slope is not 2", "session_id": 17166, "sequence_id": 66, "annotations": []}
{"role": "student", "content": "Okay I fixed it", "session_id": 17166, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "yess", "session_id": 17166, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "you got it", "session_id": 17166, "sequence_id": 69, "annotations": []}
{"role": "student", "content": "What equation do I plug it in now", "session_id": 17166, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "you replace b and m", "session_id": 17166, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "so you can get whole equation", "session_id": 17166, "sequence_id": 72, "annotations": []}
{"role": "student", "content": "Okayy", "session_id": 17166, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "one more practice?", "session_id": 17166, "sequence_id": 74, "annotations": []}
{"role": "volunteer", "content": "or you have other qeustions", "session_id": 17166, "sequence_id": 75, "annotations": []}
{"role": "student", "content": "I have another question", "session_id": 17166, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "okay no problem", "session_id": 17166, "sequence_id": 77, "annotations": []}
{"role": "student", "content": "The question it to show thag -a/b is the slope of the graph of ax+by+c=0", "session_id": 17166, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "so we know slope is the number before x", "session_id": 17166, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "so we try to change equation to like y at the left", "session_id": 17166, "sequence_id": 80, "annotations": []}
{"role": "volunteer", "content": "and all other at the right", "session_id": 17166, "sequence_id": 81, "annotations": []}
{"role": "student", "content": "do we subtract everything to the right", "session_id": 17166, "sequence_id": 82, "annotations": []}
{"role": "volunteer", "content": "yeah except y", "session_id": 17166, "sequence_id": 83, "annotations": []}
{"role": "student", "content": "What do we do now", "session_id": 17166, "sequence_id": 84, "annotations": []}
{"role": "student", "content": "How did you move the b value", "session_id": 17166, "sequence_id": 85, "annotations": []}
{"role": "volunteer", "content": "so both sides divide b", "session_id": 17166, "sequence_id": 86, "annotations": []}
{"role": "student", "content": "Ohhh got it thank you so much", "session_id": 17166, "sequence_id": 87, "annotations": []}
{"role": "volunteer", "content": "ofc!!", "session_id": 17166, "sequence_id": 88, "annotations": []}
{"role": "volunteer", "content": "Hi! how can I help you today?", "session_id": 17399, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "hi", "session_id": 17399, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "Hello", "session_id": 17399, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "so", "session_id": 17399, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "I need to help with my math work.", "session_id": 17399, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "Ok! Is there a problem you want me to help you solve?", "session_id": 17399, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 17399, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "Do you want to put it on the board?", "session_id": 17399, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "I can send it to you and you could put it to the board.", "session_id": 17399, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "Ok!", "session_id": 17399, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "OK", "session_id": 17399, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "There you go. It's on the board now.", "session_id": 17399, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "Che check", "session_id": 17399, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "Ok thank you!", "session_id": 17399, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "Could you zoom in a little, please?", "session_id": 17399, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "yes", "session_id": 17399, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "Ok!", "session_id": 17399, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "So it seems like for every number, 2 is being raised to the power of that number", "session_id": 17399, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "Does that make sense?", "session_id": 17399, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "yes i think so", "session_id": 17399, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "Ok, so for example, could you write an expression to represent the 10th stage?", "session_id": 17399, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "On the board or", "session_id": 17399, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "Sure!", "session_id": 17399, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "I just wanna make sure", "session_id": 17399, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "Or you could say it out loud, either way works!", "session_id": 17399, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "Does that make sense?", "session_id": 17399, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "Oh sorry!", "session_id": 17399, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "I'm", "session_id": 17399, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "it's like", "session_id": 17399, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "I want to", "session_id": 17399, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "like say 10 to the 10 to 3.", "session_id": 17399, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "So I wanted for the, for the 3 to be smaller.", "session_id": 17399, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "Ok, I understand!", "session_id": 17399, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "Yeah, that's.", "session_id": 17399, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "That's close, but not quite right", "session_id": 17399, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "I'll do it out with you for stage 5!", "session_id": 17399, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "So we know that each time, 2 is being raised to the power of (the number of that stage)", "session_id": 17399, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "So in stage 1, it's 2^1", "session_id": 17399, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "In stage 2, its 2^2", "session_id": 17399, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "in stage 3, it's 2^3", "session_id": 17399, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "In stage 5, it's 2^5", "session_id": 17399, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "In stage 10, it's 2^10", "session_id": 17399, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "So what would it be in stage 20?", "session_id": 17399, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "Hello, are you there?", "session_id": 17399, "sequence_id": 43, "annotations": []}
{"role": "student", "content": "Yes, I, I was just thinking.", "session_id": 17399, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "Ok!", "session_id": 17399, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "Do you have any questions?", "session_id": 17399, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "um", "session_id": 17399, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "Don't be afraid to ask!", "session_id": 17399, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 17399, "sequence_id": 49, "annotations": []}
{"role": "student", "content": "I know that like the power meaning to like to to multiply certain numbers.", "session_id": 17399, "sequence_id": 50, "annotations": []}
{"role": "student", "content": "Is that right", "session_id": 17399, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "Yeah, that's right. So, when you", "session_id": 17399, "sequence_id": 52, "annotations": []}
{"role": "student", "content": "So,", "session_id": 17399, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "my what", "session_id": 17399, "sequence_id": 54, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 17399, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "So if you raise, for example, if you raise 2 to the power of 1, that would be just 2.", "session_id": 17399, "sequence_id": 56, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 17399, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "And if you raise 2 to the power 2, it would be 2 times 2. So there's like, there's 2 2s. Does that make sense?", "session_id": 17399, "sequence_id": 58, "annotations": []}
{"role": "student", "content": "Uh-huh", "session_id": 17399, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "So then", "session_id": 17399, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "the question here is, um", "session_id": 17399, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "write an expression for stage 20. And at stage 2, it would just be to to the power of 20.", "session_id": 17399, "sequence_id": 62, "annotations": []}
{"role": "student", "content": "Oh, OK", "session_id": 17399, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "Yeah, does that make sense", "session_id": 17399, "sequence_id": 64, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 17399, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "OK, do you have any other questions?", "session_id": 17399, "sequence_id": 66, "annotations": []}
{"role": "student", "content": "No", "session_id": 17399, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "OK. Glad I could help.", "session_id": 17399, "sequence_id": 68, "annotations": []}
{"role": "student", "content": "No.", "session_id": 17399, "sequence_id": 69, "annotations": []}
{"role": "student", "content": "Thank you", "session_id": 17399, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "No problem", "session_id": 17399, "sequence_id": 71, "annotations": []}
{"role": "student", "content": "put on", "session_id": 17399, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "What?", "session_id": 17399, "sequence_id": 73, "annotations": []}
{"role": "student", "content": "nothing", "session_id": 17399, "sequence_id": 74, "annotations": []}
{"role": "volunteer", "content": "Ok, unless you have any other questions, I'll end the session now?", "session_id": 17399, "sequence_id": 75, "annotations": []}
{"role": "student", "content": "thank you", "session_id": 17399, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "Hi Alice! How are you today. What are you looking for help with?", "session_id": 13295, "sequence_id": 0, "annotations": [{"pii_type": "PERSON", "surrogate": "Alice", "start": 3, "end": 8}]}
{"role": "student", "content": "Hi! I'm doing good thank you for asking!", "session_id": 13295, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "I'm studying for my precalculus test do you mind if I ask you some questions from my study guide?", "session_id": 13295, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "Sounds good!", "session_id": 13295, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "Is this problem you have up on the whiteboard one of your problems?", "session_id": 13295, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "Yes, this is the first problem.", "session_id": 13295, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "Ok great. So we have an equation with a single variable, and we're looking to solve for x.", "session_id": 13295, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "What are some things we can do to try and make it so that we only have x on one side??", "session_id": 13295, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "we can subtract the 6x", "session_id": 13295, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "to the other side?", "session_id": 13295, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "Be careful! Is the left side 6x+(x-1)?", "session_id": 13295, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "Or is (x-1) being multiplied by 6x?", "session_id": 13295, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "oh its being multiplied do we distribute?", "session_id": 13295, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "Exactly!", "session_id": 13295, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "You had 6x(x-1) on the left side there", "session_id": 13295, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "is that correct?", "session_id": 13295, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "Yep, so the left side is equal to 6x^2-6x", "session_id": 13295, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "Now we have an x^2 in our equation, do you know what we call an equation with an x^2 in it?", "session_id": 13295, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "quadratic equation", "session_id": 13295, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "Right!", "session_id": 13295, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "And usually, to solve a quadratic equation, what do we want to have on one side?", "session_id": 13295, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "0", "session_id": 13295, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "Perfect! So what can we do to try and get 1 side to 0 now?", "session_id": 13295, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "add the x from the right side to the left side", "session_id": 13295, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "Yep!", "session_id": 13295, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "Ok so now we're closer to having one side be 0, what now?", "session_id": 13295, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "we subtract the 12 to the other side", "session_id": 13295, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "exactly", "session_id": 13295, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "So now we have a quadratic equation that is equal to 0.", "session_id": 13295, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "There are a few different ways to solve these, what are you familiar with?", "session_id": 13295, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "I know a bit of factoring and using the quadratic formula", "session_id": 13295, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "What conditions do we need in order to factor a quadratic equation?", "session_id": 13295, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "mm would it be using the 6 and -12 and finding out what it would multiply with and subtract wi the 2 numbers?", "session_id": 13295, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "So when we factor, we need a to be 1. (Which could be done by dividing the equation by 6)", "session_id": 13295, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "and then we find two numbers that add add up to b, and multiply to equal c", "session_id": 13295, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "However, we'd have b = -5/6 and c = -2.", "session_id": 13295, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "And that would be very difficult to do", "session_id": 13295, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "oh I see we would have to turn the x squared into 1 Infront instead of ^ rihgt", "session_id": 13295, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "Right, you'd want it to be a 1 instead of a 6.", "session_id": 13295, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "would I always have to do this for any problem like this to get it correct?", "session_id": 13295, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "If you want to use factoring, yes", "session_id": 13295, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "ok", "session_id": 13295, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "But you don't need to if you use the quadratic formula", "session_id": 13295, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "okay so I divide the whole equation by 6?", "session_id": 13295, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "yeah, lets try that", "session_id": 13295, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "wait but it wouldn't go into -5x", "session_id": 13295, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "Well it doesn't divide evenly, but we can use fractions", "session_id": 13295, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "So if we want to factor, we would then try and think of two numbers, such that they add up to -5/6, and they multiply to -2.", "session_id": 13295, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "But that seems pretty hard, doesn't it?", "session_id": 13295, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "yes", "session_id": 13295, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "Sometimes, you'll have an equation where the factors are pretty obvious.\n\nSay, for example, x^2 + 3x + 2", "session_id": 13295, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "What are two numbers that add up to 3 and multiply to 2?", "session_id": 13295, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "2 and 1", "session_id": 13295, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "Right. So we could express x^2+3x+2 as (x+2)(x+1)", "session_id": 13295, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "However, we can't really do that with this example", "session_id": 13295, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "So instead, we use the quadratic formula.", "session_id": 13295, "sequence_id": 55, "annotations": []}
{"role": "student", "content": "oh okay so if I come across this on the test I would use the quadratic formula?", "session_id": 13295, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "Yes", "session_id": 13295, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "Usually it's worth seeing if you can factor first, because it's faster if you can", "session_id": 13295, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "But if you can't then use the quadratic formula", "session_id": 13295, "sequence_id": 59, "annotations": []}
{"role": "student", "content": "ok", "session_id": 13295, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "So your quadratic equation is very close to right, but you're missing one thing", "session_id": 13295, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "There you go", "session_id": 13295, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "So now we can plug in our values for a, b, and c, and get our answers", "session_id": 13295, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "You don't need the x next to the 5 for b.", "session_id": 13295, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "a, b, and c are just the numbers next to the x's", "session_id": 13295, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "6, -5, and -12", "session_id": 13295, "sequence_id": 66, "annotations": []}
{"role": "student", "content": "oh sorry", "session_id": 13295, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "All good!", "session_id": 13295, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "And then what do we do to the -5 inside the square root?", "session_id": 13295, "sequence_id": 69, "annotations": []}
{"role": "student", "content": "solve it to equal 25", "session_id": 13295, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "Yep, now it's all just simplifying", "session_id": 13295, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "Be careful, can we subtract before multiplying inside the square root?", "session_id": 13295, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "Remember order of operations", "session_id": 13295, "sequence_id": 73, "annotations": []}
{"role": "student", "content": "im confused", "session_id": 13295, "sequence_id": 74, "annotations": []}
{"role": "volunteer", "content": "So inside the square root, we have", "session_id": 13295, "sequence_id": 75, "annotations": []}
{"role": "student", "content": "do I take out the 25 from the square root as 5", "session_id": 13295, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "25-24(-12)", "session_id": 13295, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "We can't take out the 25 yet, since it's being added, not multiplied", "session_id": 13295, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "We want to get what's inside the square root to a single number", "session_id": 13295, "sequence_id": 79, "annotations": []}
{"role": "student", "content": "ok so 25-24 is 1 then 1 x -12", "session_id": 13295, "sequence_id": 80, "annotations": []}
{"role": "student", "content": "is -12", "session_id": 13295, "sequence_id": 81, "annotations": []}
{"role": "volunteer", "content": "Do we do 25-24 first?", "session_id": 13295, "sequence_id": 82, "annotations": []}
{"role": "volunteer", "content": "Or do we do 24 * -12 first?", "session_id": 13295, "sequence_id": 83, "annotations": []}
{"role": "student", "content": "we multiply first bc of pemdas", "session_id": 13295, "sequence_id": 84, "annotations": []}
{"role": "student", "content": "right?", "session_id": 13295, "sequence_id": 85, "annotations": []}
{"role": "volunteer", "content": "Yep!", "session_id": 13295, "sequence_id": 86, "annotations": []}
{"role": "volunteer", "content": "So we multiply 24 by -12", "session_id": 13295, "sequence_id": 87, "annotations": []}
{"role": "volunteer", "content": "Good catch on the +", "session_id": 13295, "sequence_id": 88, "annotations": []}
{"role": "volunteer", "content": "Since we're subtracting -288, we add", "session_id": 13295, "sequence_id": 89, "annotations": []}
{"role": "volunteer", "content": "So now we can add the two terms inside the square root", "session_id": 13295, "sequence_id": 90, "annotations": []}
{"role": "student", "content": "is that right?", "session_id": 13295, "sequence_id": 91, "annotations": []}
{"role": "volunteer", "content": "Yep.", "session_id": 13295, "sequence_id": 92, "annotations": []}
{"role": "volunteer", "content": "Now at this point you could call this done, or you could plug sqrt(313) into your calculator and get two decimal numbers", "session_id": 13295, "sequence_id": 93, "annotations": []}
{"role": "volunteer", "content": "Do you know what you usually do in class?", "session_id": 13295, "sequence_id": 94, "annotations": []}
{"role": "volunteer", "content": "For problems like these?", "session_id": 13295, "sequence_id": 95, "annotations": []}
{"role": "student", "content": "we cant use calculators at all", "session_id": 13295, "sequence_id": 96, "annotations": []}
{"role": "volunteer", "content": "Ok, if you don't use calculators, then this would likely be the answer that your teacher wants", "session_id": 13295, "sequence_id": 97, "annotations": []}
{"role": "volunteer", "content": "just put an x =", "session_id": 13295, "sequence_id": 98, "annotations": []}
{"role": "volunteer", "content": "next to it", "session_id": 13295, "sequence_id": 99, "annotations": []}
{"role": "volunteer", "content": "And that would be the solutions for x.", "session_id": 13295, "sequence_id": 100, "annotations": []}
{"role": "volunteer", "content": "If you used a calculator you'd get two values roughly equal to 1.89 and -2.72", "session_id": 13295, "sequence_id": 101, "annotations": []}
{"role": "volunteer", "content": "Do you have another example of a similar problem for some more practice?", "session_id": 13295, "sequence_id": 102, "annotations": []}
{"role": "volunteer", "content": "Are you still there?", "session_id": 13295, "sequence_id": 103, "annotations": []}
{"role": "student", "content": "yes sorry i went to get my textbook for another problem", "session_id": 13295, "sequence_id": 104, "annotations": []}
{"role": "volunteer", "content": "No worries!", "session_id": 13295, "sequence_id": 105, "annotations": []}
{"role": "volunteer", "content": "Are we trying to simplify this fraction?", "session_id": 13295, "sequence_id": 106, "annotations": []}
{"role": "student", "content": "yes", "session_id": 13295, "sequence_id": 107, "annotations": []}
{"role": "volunteer", "content": "and the denominator is supposed to be 2+1?", "session_id": 13295, "sequence_id": 108, "annotations": []}
{"role": "volunteer", "content": "or should it be 2+i?", "session_id": 13295, "sequence_id": 109, "annotations": []}
{"role": "student", "content": "yes sorry", "session_id": 13295, "sequence_id": 110, "annotations": []}
{"role": "volunteer", "content": "Ok, so we have a fraction using the imaginary number i", "session_id": 13295, "sequence_id": 111, "annotations": []}
{"role": "volunteer", "content": "We have two terms being multiplied together in the numerator", "session_id": 13295, "sequence_id": 112, "annotations": []}
{"role": "volunteer", "content": "and one term in the denominator", "session_id": 13295, "sequence_id": 113, "annotations": []}
{"role": "volunteer", "content": "What do you think is the first step in trying to simplify this?", "session_id": 13295, "sequence_id": 114, "annotations": []}
{"role": "student", "content": "multiplying the top", "session_id": 13295, "sequence_id": 115, "annotations": []}
{"role": "student", "content": "distrubuting to each", "session_id": 13295, "sequence_id": 116, "annotations": []}
{"role": "volunteer", "content": "Yep, we can mutliply them together, distributing to get a single term", "session_id": 13295, "sequence_id": 117, "annotations": []}
{"role": "volunteer", "content": "Let's look back at the last term of your distribution", "session_id": 13295, "sequence_id": 118, "annotations": []}
{"role": "volunteer", "content": "we have 2i times -i", "session_id": 13295, "sequence_id": 119, "annotations": []}
{"role": "student", "content": "squared?", "session_id": 13295, "sequence_id": 120, "annotations": []}
{"role": "volunteer", "content": "Now what can we turn i^2 into??", "session_id": 13295, "sequence_id": 121, "annotations": []}
{"role": "student", "content": "1", "session_id": 13295, "sequence_id": 122, "annotations": []}
{"role": "volunteer", "content": "close, do you remember what i represents?", "session_id": 13295, "sequence_id": 123, "annotations": []}
{"role": "student", "content": "-1", "session_id": 13295, "sequence_id": 124, "annotations": []}
{"role": "volunteer", "content": "Right, the square root of -1", "session_id": 13295, "sequence_id": 125, "annotations": []}
{"role": "volunteer", "content": "so if we square it, we get -1", "session_id": 13295, "sequence_id": 126, "annotations": []}
{"role": "volunteer", "content": "So instead of -2i^2, we can write +2", "session_id": 13295, "sequence_id": 127, "annotations": []}
{"role": "volunteer", "content": "So now we have four terms in the top, 3 - i + 6i + 2, can we simplify this more??", "session_id": 13295, "sequence_id": 128, "annotations": []}
{"role": "student", "content": "yes like terms", "session_id": 13295, "sequence_id": 129, "annotations": []}
{"role": "volunteer", "content": "So now we have a single complex term in the numerator, and a complex term in the denominator", "session_id": 13295, "sequence_id": 130, "annotations": []}
{"role": "volunteer", "content": "Do you know how we proceed to get just a single term with no fractions?", "session_id": 13295, "sequence_id": 131, "annotations": []}
{"role": "student", "content": "bring it up? but there's no negative", "session_id": 13295, "sequence_id": 132, "annotations": []}
{"role": "volunteer", "content": "Right, so we can't bring it up yet", "session_id": 13295, "sequence_id": 133, "annotations": []}
{"role": "volunteer", "content": "Have you heard of a complex conjugate?", "session_id": 13295, "sequence_id": 134, "annotations": []}
{"role": "student", "content": "or multiply 2 +1 to top and bottom?", "session_id": 13295, "sequence_id": 135, "annotations": []}
{"role": "student", "content": "no I haven't", "session_id": 13295, "sequence_id": 136, "annotations": []}
{"role": "volunteer", "content": "So a complex number has two parts, a real number and an imaginary number, right? 5+5i is a complex number, and 2+i is a complex number.", "session_id": 13295, "sequence_id": 137, "annotations": []}
{"role": "volunteer", "content": "The complex conjugate of it is the same real number, but the negative of the imaginary term", "session_id": 13295, "sequence_id": 138, "annotations": []}
{"role": "volunteer", "content": "So for 5+5i, the conjugate is 5-5i", "session_id": 13295, "sequence_id": 139, "annotations": []}
{"role": "volunteer", "content": "For 2+i, the conjugate is 2-i", "session_id": 13295, "sequence_id": 140, "annotations": []}
{"role": "volunteer", "content": "What we do is we multiply both the top and the bottom by the conjugate of the bottom.", "session_id": 13295, "sequence_id": 141, "annotations": []}
{"role": "volunteer", "content": "So in this case, we multiply both sides by (2-i)", "session_id": 13295, "sequence_id": 142, "annotations": []}
{"role": "volunteer", "content": "Does that make sense or am I going too fast?", "session_id": 13295, "sequence_id": 143, "annotations": []}
{"role": "student", "content": "yes I understand", "session_id": 13295, "sequence_id": 144, "annotations": []}
{"role": "student", "content": "like this?", "session_id": 13295, "sequence_id": 145, "annotations": []}
{"role": "volunteer", "content": "Not quite. Remember we're multiplying, not adding", "session_id": 13295, "sequence_id": 146, "annotations": []}
{"role": "volunteer", "content": "And also, the conjugate doesn't just cancel out, we still have to distribute.", "session_id": 13295, "sequence_id": 147, "annotations": []}
{"role": "volunteer", "content": "When we multiply a complex number by a conjugate though, we always get a real number.", "session_id": 13295, "sequence_id": 148, "annotations": []}
{"role": "student", "content": "could you show  me pls I'm kind of confused", "session_id": 13295, "sequence_id": 149, "annotations": []}
{"role": "volunteer", "content": "Yeah. Are you able to hear me?", "session_id": 13295, "sequence_id": 150, "annotations": []}
{"role": "volunteer", "content": "Sorry I haven't used the mic before, do you hear me directly or does it just send text?", "session_id": 13295, "sequence_id": 151, "annotations": []}
{"role": "student", "content": "It's okay me either. It just sends texts", "session_id": 13295, "sequence_id": 152, "annotations": []}
{"role": "volunteer", "content": "Ok, that's fine", "session_id": 13295, "sequence_id": 153, "annotations": []}
{"role": "volunteer", "content": "So right now we have a fraction, we have a complex term in the top and the bottom", "session_id": 13295, "sequence_id": 154, "annotations": []}
{"role": "volunteer", "content": "To simplify it, we want to make it so that we only have a complex term on top", "session_id": 13295, "sequence_id": 155, "annotations": []}
{"role": "volunteer", "content": "and the bottom is a real number", "session_id": 13295, "sequence_id": 156, "annotations": []}
{"role": "volunteer", "content": "So what we can do is use something called the complex conjugate", "session_id": 13295, "sequence_id": 157, "annotations": []}
{"role": "volunteer", "content": "So here we have another example, 4+2i.", "session_id": 13295, "sequence_id": 158, "annotations": []}
{"role": "volunteer", "content": "The complex conjugate of this is 4-2i", "session_id": 13295, "sequence_id": 159, "annotations": []}
{"role": "volunteer", "content": "We keep the real number the same, and negate the imaginary number", "session_id": 13295, "sequence_id": 160, "annotations": []}
{"role": "volunteer", "content": "And what's special about this is that when we distribute these terms when we multiply", "session_id": 13295, "sequence_id": 161, "annotations": []}
{"role": "volunteer", "content": "Is there anything you notice?", "session_id": 13295, "sequence_id": 162, "annotations": []}
{"role": "volunteer", "content": "When we combine like terms?", "session_id": 13295, "sequence_id": 163, "annotations": []}
{"role": "student", "content": "they are the same", "session_id": 13295, "sequence_id": 164, "annotations": []}
{"role": "volunteer", "content": "Right! More specifically, the i's cancel out", "session_id": 13295, "sequence_id": 165, "annotations": []}
{"role": "volunteer", "content": "So we're just left with 20, a real number", "session_id": 13295, "sequence_id": 166, "annotations": []}
{"role": "volunteer", "content": "Whenever you multiply a complex number by its conjugate, this is the case", "session_id": 13295, "sequence_id": 167, "annotations": []}
{"role": "volunteer", "content": "So let's try another example", "session_id": 13295, "sequence_id": 168, "annotations": []}
{"role": "volunteer", "content": "What's the conjugate of this term, 5-3i?", "session_id": 13295, "sequence_id": 169, "annotations": []}
{"role": "student", "content": "5+3i)", "session_id": 13295, "sequence_id": 170, "annotations": []}
{"role": "volunteer", "content": "Yep!", "session_id": 13295, "sequence_id": 171, "annotations": []}
{"role": "volunteer", "content": "Now try distributing and see what you get", "session_id": 13295, "sequence_id": 172, "annotations": []}
{"role": "volunteer", "content": "Great work!", "session_id": 13295, "sequence_id": 173, "annotations": []}
{"role": "volunteer", "content": "So you can see, whenever we multiply a complex number by a conjugate, we'll always just get a real number, the imaginary term cancels out", "session_id": 13295, "sequence_id": 174, "annotations": []}
{"role": "student", "content": "yes!", "session_id": 13295, "sequence_id": 175, "annotations": []}
{"role": "volunteer", "content": "So now, if we want to multiply our fraction by something so that the bottom is only a real number, what do you think we'll multiply by?", "session_id": 13295, "sequence_id": 176, "annotations": []}
{"role": "volunteer", "content": "Referring back to our original problem", "session_id": 13295, "sequence_id": 177, "annotations": []}
{"role": "student", "content": "2-i", "session_id": 13295, "sequence_id": 178, "annotations": []}
{"role": "volunteer", "content": "Exactly", "session_id": 13295, "sequence_id": 179, "annotations": []}
{"role": "volunteer", "content": "And since we need to keep the equation the same, we need to do it to both the numerator and the denominator", "session_id": 13295, "sequence_id": 180, "annotations": []}
{"role": "volunteer", "content": "So now we distribute both", "session_id": 13295, "sequence_id": 181, "annotations": []}
{"role": "volunteer", "content": "Can you distribute the top and the bottom of the fraction?", "session_id": 13295, "sequence_id": 182, "annotations": []}
{"role": "student", "content": "yes", "session_id": 13295, "sequence_id": 183, "annotations": []}
{"role": "volunteer", "content": "Awesome! Now we can combine like terms in both and see what we're left with", "session_id": 13295, "sequence_id": 184, "annotations": []}
{"role": "volunteer", "content": "And now is there anything else we can do to simplify?", "session_id": 13295, "sequence_id": 185, "annotations": []}
{"role": "student", "content": "yes divided by 3", "session_id": 13295, "sequence_id": 186, "annotations": []}
{"role": "student", "content": "simplify", "session_id": 13295, "sequence_id": 187, "annotations": []}
{"role": "volunteer", "content": "Yep", "session_id": 13295, "sequence_id": 188, "annotations": []}
{"role": "volunteer", "content": "So what are you left with when you divide both terms by 5?", "session_id": 13295, "sequence_id": 189, "annotations": []}
{"role": "student", "content": "oh I meant 5 sorry and we would get 3", "session_id": 13295, "sequence_id": 190, "annotations": []}
{"role": "volunteer", "content": "Yep! And that's the answer. 3+i", "session_id": 13295, "sequence_id": 191, "annotations": []}
{"role": "volunteer", "content": "Would you want to try another example of the same type of problem?", "session_id": 13295, "sequence_id": 192, "annotations": []}
{"role": "volunteer", "content": "I have one ready", "session_id": 13295, "sequence_id": 193, "annotations": []}
{"role": "student", "content": "yes please", "session_id": 13295, "sequence_id": 194, "annotations": []}
{"role": "volunteer", "content": "Alright, so we have another fraction with a complex term in both the numerator and denominator", "session_id": 13295, "sequence_id": 195, "annotations": []}
{"role": "volunteer", "content": "What should we do to simplify?", "session_id": 13295, "sequence_id": 196, "annotations": []}
{"role": "student", "content": "multiply 4+1 to top and bottom and distribute", "session_id": 13295, "sequence_id": 197, "annotations": []}
{"role": "student", "content": "I *", "session_id": 13295, "sequence_id": 198, "annotations": []}
{"role": "volunteer", "content": "Good!", "session_id": 13295, "sequence_id": 199, "annotations": []}
{"role": "volunteer", "content": "I'm going to use the bathroom really quick, I'll let you distribute the top and bottom and I'll be back in just a minute", "session_id": 13295, "sequence_id": 200, "annotations": []}
{"role": "student", "content": "yes, no worries", "session_id": 13295, "sequence_id": 201, "annotations": []}
{"role": "volunteer", "content": "I'm back, and that looks good! The only thing is make sure to include the i next to the 3 and 4", "session_id": 13295, "sequence_id": 202, "annotations": []}
{"role": "volunteer", "content": "Looks like you just forgot to write them", "session_id": 13295, "sequence_id": 203, "annotations": []}
{"role": "student", "content": "yes I was just seeing that", "session_id": 13295, "sequence_id": 204, "annotations": []}
{"role": "student", "content": "sorry", "session_id": 13295, "sequence_id": 205, "annotations": []}
{"role": "volunteer", "content": "All good! No need to apologize it happens. So, now what do we do?", "session_id": 13295, "sequence_id": 206, "annotations": []}
{"role": "student", "content": "combinelike terms", "session_id": 13295, "sequence_id": 207, "annotations": []}
{"role": "volunteer", "content": "Yep!", "session_id": 13295, "sequence_id": 208, "annotations": []}
{"role": "volunteer", "content": "And now, can we simplify further?", "session_id": 13295, "sequence_id": 209, "annotations": []}
{"role": "student", "content": "no", "session_id": 13295, "sequence_id": 210, "annotations": []}
{"role": "volunteer", "content": "Right!", "session_id": 13295, "sequence_id": 211, "annotations": []}
{"role": "volunteer", "content": "Last time we had a denominator that fit into the terms", "session_id": 13295, "sequence_id": 212, "annotations": []}
{"role": "volunteer", "content": "So we simplified (15 + 5i)/5 to 3+i", "session_id": 13295, "sequence_id": 213, "annotations": []}
{"role": "volunteer", "content": "But in this case, since it doesn't fit, we're done", "session_id": 13295, "sequence_id": 214, "annotations": []}
{"role": "volunteer", "content": "Does it make sense how to simplify complex fractions now?", "session_id": 13295, "sequence_id": 215, "annotations": []}
{"role": "volunteer", "content": "Or do you want to try another example?", "session_id": 13295, "sequence_id": 216, "annotations": []}
{"role": "student", "content": "yes it does thank you!", "session_id": 13295, "sequence_id": 217, "annotations": []}
{"role": "volunteer", "content": "Do you have more problem types to work on? Or do you want to try more examples of what we've already practiced?", "session_id": 13295, "sequence_id": 218, "annotations": []}
{"role": "student", "content": "yes I have a few more if you have time I'm sorryb", "session_id": 13295, "sequence_id": 219, "annotations": []}
{"role": "volunteer", "content": "No worries! I have plenty of time. As long as you need", "session_id": 13295, "sequence_id": 220, "annotations": []}
{"role": "student", "content": "Thank you!", "session_id": 13295, "sequence_id": 221, "annotations": []}
{"role": "volunteer", "content": "Just confirming, this is what it's asking to rationalize?", "session_id": 13295, "sequence_id": 222, "annotations": []}
{"role": "student", "content": "yes", "session_id": 13295, "sequence_id": 223, "annotations": []}
{"role": "volunteer", "content": "Alright, so this is somewhat similar to the previous problem. We have an irrational term in the denominator, and we want to make it so that it's a rational term.", "session_id": 13295, "sequence_id": 224, "annotations": []}
{"role": "volunteer", "content": "What can we multiply sqrt(3) by so that it becomes a rational number?", "session_id": 13295, "sequence_id": 225, "annotations": []}
{"role": "student", "content": "I'm not sure would have do have 2 and 1 in a square root", "session_id": 13295, "sequence_id": 226, "annotations": []}
{"role": "volunteer", "content": "How about this, what is the product of these?", "session_id": 13295, "sequence_id": 227, "annotations": []}
{"role": "volunteer", "content": "sqrt(3) times sqrt(3)?", "session_id": 13295, "sequence_id": 228, "annotations": []}
{"role": "student", "content": "9", "session_id": 13295, "sequence_id": 229, "annotations": []}
{"role": "volunteer", "content": "careful, that's 3x3, what about sqrt(3) times sqrt(3)?", "session_id": 13295, "sequence_id": 230, "annotations": []}
{"role": "volunteer", "content": "how about if I write it like that?", "session_id": 13295, "sequence_id": 231, "annotations": []}
{"role": "volunteer", "content": "square root of three, squared?", "session_id": 13295, "sequence_id": 232, "annotations": []}
{"role": "student", "content": "ok", "session_id": 13295, "sequence_id": 233, "annotations": []}
{"role": "student", "content": "I'm not sure", "session_id": 13295, "sequence_id": 234, "annotations": []}
{"role": "student", "content": "would it be 9 with a square root?", "session_id": 13295, "sequence_id": 235, "annotations": []}
{"role": "volunteer", "content": "It is the square root of 9", "session_id": 13295, "sequence_id": 236, "annotations": []}
{"role": "volunteer", "content": "But more specifically, what is the square root of 9?", "session_id": 13295, "sequence_id": 237, "annotations": []}
{"role": "student", "content": "3", "session_id": 13295, "sequence_id": 238, "annotations": []}
{"role": "volunteer", "content": "Right, so sqrt(3) times sqrt(3) is just 3", "session_id": 13295, "sequence_id": 239, "annotations": []}
{"role": "volunteer", "content": "And this applies for any number", "session_id": 13295, "sequence_id": 240, "annotations": []}
{"role": "student", "content": "oh okay sorrty", "session_id": 13295, "sequence_id": 241, "annotations": []}
{"role": "student", "content": "sorry*", "session_id": 13295, "sequence_id": 242, "annotations": []}
{"role": "volunteer", "content": "Since it's a square root, and you multiply it by itself (squaring it), they cancel out", "session_id": 13295, "sequence_id": 243, "annotations": []}
{"role": "volunteer", "content": "and you're just left with the number under the square root", "session_id": 13295, "sequence_id": 244, "annotations": []}
{"role": "student", "content": "ok", "session_id": 13295, "sequence_id": 245, "annotations": []}
{"role": "volunteer", "content": "So we can multiply both the top and bottom by sqrt(3) to rationalize the denominator", "session_id": 13295, "sequence_id": 246, "annotations": []}
{"role": "volunteer", "content": "Since sqrt(3) times itself is 3, a rational number", "session_id": 13295, "sequence_id": 247, "annotations": []}
{"role": "student", "content": "ok", "session_id": 13295, "sequence_id": 248, "annotations": []}
{"role": "volunteer", "content": "Yep, for the top, we just leave it like that. 12sqrt(3)", "session_id": 13295, "sequence_id": 249, "annotations": []}
{"role": "volunteer", "content": "Now, is there anything else we can do to simplify now?", "session_id": 13295, "sequence_id": 250, "annotations": []}
{"role": "student", "content": "divided by 3", "session_id": 13295, "sequence_id": 251, "annotations": []}
{"role": "volunteer", "content": "yep", "session_id": 13295, "sequence_id": 252, "annotations": []}
{"role": "volunteer", "content": "And that's your answer", "session_id": 13295, "sequence_id": 253, "annotations": []}
{"role": "volunteer", "content": "So what if I gave you this example?", "session_id": 13295, "sequence_id": 254, "annotations": []}
{"role": "volunteer", "content": "15/sqrt(5)?", "session_id": 13295, "sequence_id": 255, "annotations": []}
{"role": "volunteer", "content": "How would you rationalize this?", "session_id": 13295, "sequence_id": 256, "annotations": []}
{"role": "volunteer", "content": "exactly", "session_id": 13295, "sequence_id": 257, "annotations": []}
{"role": "volunteer", "content": "I'll give you one more", "session_id": 13295, "sequence_id": 258, "annotations": []}
{"role": "volunteer", "content": "This one is a little different", "session_id": 13295, "sequence_id": 259, "annotations": []}
{"role": "student", "content": "ok", "session_id": 13295, "sequence_id": 260, "annotations": []}
{"role": "volunteer", "content": "But is mostly done the same way", "session_id": 13295, "sequence_id": 261, "annotations": []}
{"role": "volunteer", "content": "Awesome! And at that point it's simplified as far as you can go", "session_id": 13295, "sequence_id": 262, "annotations": []}
{"role": "student", "content": "okay thank you!", "session_id": 13295, "sequence_id": 263, "annotations": []}
{"role": "volunteer", "content": "You feel confident to move on?", "session_id": 13295, "sequence_id": 264, "annotations": []}
{"role": "student", "content": "yes", "session_id": 13295, "sequence_id": 265, "annotations": []}
{"role": "volunteer", "content": "Awesome! Feel free to hit me with the next problem", "session_id": 13295, "sequence_id": 266, "annotations": []}
{"role": "volunteer", "content": "Alright, so here we're looking to factor a cubic", "session_id": 13295, "sequence_id": 267, "annotations": []}
{"role": "volunteer", "content": "Often times what we want to do here is split it into two terms", "session_id": 13295, "sequence_id": 268, "annotations": []}
{"role": "volunteer", "content": "So we can treat it as (9x^3+18x^2) + (-x-2)", "session_id": 13295, "sequence_id": 269, "annotations": []}
{"role": "student", "content": "ok", "session_id": 13295, "sequence_id": 270, "annotations": []}
{"role": "volunteer", "content": "So if we look at the left term only, is there anything we can factor out of it?", "session_id": 13295, "sequence_id": 271, "annotations": []}
{"role": "student", "content": "9", "session_id": 13295, "sequence_id": 272, "annotations": []}
{"role": "volunteer", "content": "Good! We can factor out a 9.", "session_id": 13295, "sequence_id": 273, "annotations": []}
{"role": "volunteer", "content": "Can we factor out anything else?", "session_id": 13295, "sequence_id": 274, "annotations": []}
{"role": "student", "content": "or would it be 9x^2", "session_id": 13295, "sequence_id": 275, "annotations": []}
{"role": "volunteer", "content": "9x^2, good!", "session_id": 13295, "sequence_id": 276, "annotations": []}
{"role": "volunteer", "content": "So if we factor that out what would it look like?", "session_id": 13295, "sequence_id": 277, "annotations": []}
{"role": "volunteer", "content": "Make sure you keep the factored term outside", "session_id": 13295, "sequence_id": 278, "annotations": []}
{"role": "volunteer", "content": "We aren't getting rid of it, just taking it outside the parenthesis", "session_id": 13295, "sequence_id": 279, "annotations": []}
{"role": "student", "content": "ok I didn't know we kept it out thanks for that", "session_id": 13295, "sequence_id": 280, "annotations": []}
{"role": "volunteer", "content": "So now, we want to make it so that the stuff in the right parenthesis is the same as in the left parenthesis", "session_id": 13295, "sequence_id": 281, "annotations": []}
{"role": "volunteer", "content": "Is there anything we can multiply (-x-2) by to make it the same as (x+2)", "session_id": 13295, "sequence_id": 282, "annotations": []}
{"role": "student", "content": "-1?", "session_id": 13295, "sequence_id": 283, "annotations": []}
{"role": "volunteer", "content": "Exactly", "session_id": 13295, "sequence_id": 284, "annotations": []}
{"role": "volunteer", "content": "So you can write it as 9x^2(x+2) - 1(x+2)", "session_id": 13295, "sequence_id": 285, "annotations": []}
{"role": "student", "content": "okay what would be the next step?", "session_id": 13295, "sequence_id": 286, "annotations": []}
{"role": "volunteer", "content": "The second term should be positive now, since we negated it", "session_id": 13295, "sequence_id": 287, "annotations": []}
{"role": "volunteer", "content": "Instead of + (-x-2) it's - (x+2)", "session_id": 13295, "sequence_id": 288, "annotations": []}
{"role": "volunteer", "content": "So now we have 9x^2 times (x+2)\n                    minus 1 times (x+2)", "session_id": 13295, "sequence_id": 289, "annotations": []}
{"role": "student", "content": "ook", "session_id": 13295, "sequence_id": 290, "annotations": []}
{"role": "volunteer", "content": "So now we can combine like terms", "session_id": 13295, "sequence_id": 291, "annotations": []}
{"role": "student", "content": "do I combine them", "session_id": 13295, "sequence_id": 292, "annotations": []}
{"role": "student", "content": "is that correct?", "session_id": 13295, "sequence_id": 293, "annotations": []}
{"role": "volunteer", "content": "Be careful, we don't multiply 9x^2 and -1", "session_id": 13295, "sequence_id": 294, "annotations": []}
{"role": "volunteer", "content": "We're adding them together", "session_id": 13295, "sequence_id": 295, "annotations": []}
{"role": "student", "content": "ok 8 and positive?", "session_id": 13295, "sequence_id": 296, "annotations": []}
{"role": "volunteer", "content": "Nope, just 9x^2 - 1", "session_id": 13295, "sequence_id": 297, "annotations": []}
{"role": "volunteer", "content": "We have two separate terms, an x^2 and a constant", "session_id": 13295, "sequence_id": 298, "annotations": []}
{"role": "volunteer", "content": "So we're left with (9x^2 - 1)(x+2)", "session_id": 13295, "sequence_id": 299, "annotations": []}
{"role": "volunteer", "content": "And that would be your answer. Do you want to try another example?", "session_id": 13295, "sequence_id": 300, "annotations": []}
{"role": "student", "content": "Sorry I actually have to leave. Thank you so much for your help, I really appreciate it!", "session_id": 13295, "sequence_id": 301, "annotations": []}
{"role": "student", "content": "I  will save this example so I can practice it later.", "session_id": 13295, "sequence_id": 302, "annotations": []}
{"role": "volunteer", "content": "Ok, have a good night, and good luck on the test!", "session_id": 13295, "sequence_id": 303, "annotations": []}
{"role": "student", "content": "Thank you so much! Bye!", "session_id": 13295, "sequence_id": 304, "annotations": []}
{"role": "volunteer", "content": "goodbye!", "session_id": 13295, "sequence_id": 305, "annotations": []}
{"role": "volunteer", "content": "hi there", "session_id": 14360, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "how can I help?", "session_id": 14360, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "Hi how are you", "session_id": 14360, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "I'm good,how about you?", "session_id": 14360, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "Good thank you, I\u2019m having trouble with solving for Literal equations", "session_id": 14360, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "okay,let me see the question you are solving for it.", "session_id": 14360, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "okay I see it. please give me a minute to look through it and solve.", "session_id": 14360, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "Okay ty", "session_id": 14360, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "you're so welcome!", "session_id": 14360, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "So given:\ud835\udc49=I\u22c5w\u22c5h\nTo isolate \ud835\udc64, divide both sides of the equation by I\u22c5h:\nW=(V/I\u22c5h)\nSo the solution is:W=(V/I\u22c5h)\nThis tells you how to find the width if you know the volume, length, and height.", "session_id": 14360, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "do you understand or want me to explain a little more?", "session_id": 14360, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "Can you please explain a little more", "session_id": 14360, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "of course!", "session_id": 14360, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "I have like about 7 more questions about the same topic do you think you\u2019re able to help me with them?", "session_id": 14360, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "of course\ud83e\udd13!", "session_id": 14360, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "So given:\ud835\udc49=I\u22c5w\u22c5h\nThis is a formula for volume of a rectangular prism, where:\n\ud835\udc49 = volume\n\ud835\udc59 = length\n\ud835\udc64 = width\n\u210e = height", "session_id": 14360, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "Sarah", "session_id": 14360, "sequence_id": 16, "annotations": [{"pii_type": "PERSON", "surrogate": "Sarah", "start": 0, "end": 5}]}
{"role": "volunteer", "content": "your welcome!", "session_id": 14360, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "And the goals is that We want to solve for \ud835\udc64 \u2014 that means we want to rewrite the equation so that \ud835\udc64 is by itself on one side.", "session_id": 14360, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "Okay yes perfect", "session_id": 14360, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "I added the second equation we have to solve for A", "session_id": 14360, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "now time for the step by steop explanation\n#1:Start with the original equation: V=I\u22c5w\u22c5h\n#2:To isolate \ud835\udc64, we need to get rid of the other variables multiplying it \u2014 which are \ud835\udc59 and \u210e.\n#3:Divide both sides of the equation by I\u22c5\u210e: (V/I\u22c5\u210e)=(I\u22c5w\u22c5h/I\u22c5h)\n#4:On the right side, the I\u22c5\u210e cancels out:W=(V/I\u22c5h)", "session_id": 14360, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "okayy thanks,i'll take a look at time right now.", "session_id": 14360, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "tell me if you need help with the answer I gave to you.", "session_id": 14360, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "It helped me so much David!!", "session_id": 14360, "sequence_id": 24, "annotations": [{"pii_type": "PERSON", "surrogate": "David", "start": 21, "end": 26}]}
{"role": "volunteer", "content": "your so welcomee\ud83e\udd17", "session_id": 14360, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "the goal is that:We want to rewrite the equation so that \ud835\udc50 is all by itself on one side. That means we need to\nFind all the terms that contain \ud835\udc50\nMove everything else to the other side\nFactor and divide to isolate \ud835\udc50", "session_id": 14360, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "so Step 1: Identify terms with \ud835\udc50\nThe original equation is:\ud835\udc34=2\ud835\udc4e\ud835\udc4f+2\ud835\udc4e\ud835\udc50+2\ud835\udc4f\ud835\udc50\nWe factored out the 2\ud835\udc50 from 2\ud835\udc4e\ud835\udc50+2\ud835\udc4f\ud835\udc50, to get)", "session_id": 14360, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "Step 2: Move the non-\ud835\udc50 term to the other side\nSubtract 2\ud835\udc4e\ud835\udc4f from both sides:\n\ud835\udc34\u22122\ud835\udc4e\ud835\udc4f=2\ud835\udc50(\ud835\udc4e+\ud835\udc4f)\nNow the right side only has \ud835\udc50, which is what we want.", "session_id": 14360, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "Step 3: Divide both sides by 2(a+b))\nTo get \ud835\udc50 by itself:\nc=(A-2ab/2(a+b))", "session_id": 14360, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "Final answer:c=(A-2ab/2(a+b))", "session_id": 14360, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "you there Sarah?", "session_id": 14360, "sequence_id": 31, "annotations": [{"pii_type": "PERSON", "surrogate": "Sarah", "start": 10, "end": 15}]}
{"role": "student", "content": "Yes I\u2019m going over it sorry for taking long", "session_id": 14360, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "it's okay,please go ahead,I can wait\ud83d\ude0a", "session_id": 14360, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "I\u2019ll put the next equation and I\u2019ll go over this one", "session_id": 14360, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "okay", "session_id": 14360, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "thank you", "session_id": 14360, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "A= 1/2h(\ud835\udc4f1 + \ud835\udc4f2 ) \nThis is the formula for the area of a trapezoid, where: \ud835\udc34 = area \u210e = height \ud835\udc4f 1 and \ud835\udc4f 2 = the two bases Goal: Solve for \ud835\udc34 Lucky for us \u2014 it\u2019s already solved for \ud835\udc34 ! That means: \ud835\udc34 = 1 2 \u210e ( \ud835\udc4f 1 + \ud835\udc4f 2 ) So if you know the height and the two bases, you just plug them in and calculate. Example: Let\u2019s say: \u210e = 6 \ud835\udc4f 1 = 4 \ud835\udc4f 2 = 10 Then:\ud835\udc34=1/2\u22c56\u22c5(4+10)=1/2\u22c56\u22c514=3\u22c514=42", "session_id": 14360, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "tell me if I made a mistake on that one", "session_id": 14360, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "I think that\u2019s perfect I don\u2019t think there\u2019s any mistakes", "session_id": 14360, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "okayy", "session_id": 14360, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "yo", "session_id": 14488, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "Hi Kai! How are you today?", "session_id": 14488, "sequence_id": 1, "annotations": [{"pii_type": "PERSON", "surrogate": "Kai", "start": 3, "end": 6}]}
{"role": "student", "content": "js need ti review for my test", "session_id": 14488, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "Sure thing!", "session_id": 14488, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "Can you zoom in the paper?", "session_id": 14488, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "uh", "session_id": 14488, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "i try", "session_id": 14488, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "Also, I need to see the full paper.", "session_id": 14488, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "my teacher gave it to me like that", "session_id": 14488, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "is that better", "session_id": 14488, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "It is better! But the left margin is gone.", "session_id": 14488, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "I can't see the full paper.", "session_id": 14488, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "yeah.. my teacher gave me it like that", "session_id": 14488, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "OK! I will try my best to review!", "session_id": 14488, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "oh wait", "session_id": 14488, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "OK!", "session_id": 14488, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "man i cant", "session_id": 14488, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "copy the picture", "session_id": 14488, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "or save it", "session_id": 14488, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "wait..", "session_id": 14488, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "Unfortunately! I can't help you with this. Or you just post the last paper.", "session_id": 14488, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "THERE WE GO", "session_id": 14488, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "good?", "session_id": 14488, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "Great! Which question are you interested?", "session_id": 14488, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "can we uh", "session_id": 14488, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "do all..", "session_id": 14488, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "I have 30 minutes for this session! I will review as many as I can. Does this sound OK?", "session_id": 14488, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "ok", "session_id": 14488, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "Part 1 looks right to me.", "session_id": 14488, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "no, thats my teachers copy", "session_id": 14488, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "So you want to know how to work through the questions?", "session_id": 14488, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "yes", "session_id": 14488, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "OK! What have you tried for part 1?", "session_id": 14488, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "i js know that uh", "session_id": 14488, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "the first 2 numbers", "session_id": 14488, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "cant be bigger", "session_id": 14488, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "i mean", "session_id": 14488, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "should be bigger", "session_id": 14488, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "then the alst number", "session_id": 14488, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "last", "session_id": 14488, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "given a triangle, any length of a side is greater than the absolute value of the difference of the other two length of sides and is less than the sum of the length of the other two sides.", "session_id": 14488, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "so uh", "session_id": 14488, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "would", "session_id": 14488, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "2", "session_id": 14488, "sequence_id": 43, "annotations": []}
{"role": "student", "content": "3", "session_id": 14488, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "and 4 work?", "session_id": 14488, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "since its", "session_id": 14488, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "10", "session_id": 14488, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "10 = 2+8, so fail the condition.", "session_id": 14488, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "i ment like", "session_id": 14488, "sequence_id": 49, "annotations": []}
{"role": "student", "content": "answers", "session_id": 14488, "sequence_id": 50, "annotations": []}
{"role": "student", "content": "2", "session_id": 14488, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "3", "session_id": 14488, "sequence_id": 52, "annotations": []}
{"role": "student", "content": "and 4", "session_id": 14488, "sequence_id": 53, "annotations": []}
{"role": "student", "content": "which is", "session_id": 14488, "sequence_id": 54, "annotations": []}
{"role": "student", "content": "7", "session_id": 14488, "sequence_id": 55, "annotations": []}
{"role": "student", "content": "6", "session_id": 14488, "sequence_id": 56, "annotations": []}
{"role": "student", "content": "and 4", "session_id": 14488, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "4 <8-2, so fail the condition", "session_id": 14488, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "7 is right", "session_id": 14488, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "8-2 <7<8+2", "session_id": 14488, "sequence_id": 60, "annotations": []}
{"role": "student", "content": "i dont get it", "session_id": 14488, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "can you let me know why you are confusing this?", "session_id": 14488, "sequence_id": 62, "annotations": []}
{"role": "student", "content": "ur symbols", "session_id": 14488, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "let's first check 8-2=6, so the length of the third side must be greater than 6, do you agree?", "session_id": 14488, "sequence_id": 64, "annotations": []}
{"role": "student", "content": "yes", "session_id": 14488, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "nice! so we eliminate answer (3) and (4), which are less than or equal to 6.", "session_id": 14488, "sequence_id": 66, "annotations": []}
{"role": "student", "content": "yes", "session_id": 14488, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "Next, we check 2+8=10. So the lenght of third side must be less than 10. Do you agree?", "session_id": 14488, "sequence_id": 68, "annotations": []}
{"role": "student", "content": "yes", "session_id": 14488, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "So which is the right answer do you think among (1) and (2)?", "session_id": 14488, "sequence_id": 70, "annotations": []}
{"role": "student", "content": "2", "session_id": 14488, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "You got this!", "session_id": 14488, "sequence_id": 72, "annotations": []}
{"role": "student", "content": "yay", "session_id": 14488, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "The second question of part 1 uses the same idea.", "session_id": 14488, "sequence_id": 74, "annotations": []}
{"role": "volunteer", "content": "It is left for you to check for saving time, is this OK?", "session_id": 14488, "sequence_id": 75, "annotations": []}
{"role": "student", "content": "is it 2", "session_id": 14488, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "YES! (2) 8 is the right answer.", "session_id": 14488, "sequence_id": 77, "annotations": []}
{"role": "student", "content": "yippie", "session_id": 14488, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "Let's move to part 2?", "session_id": 14488, "sequence_id": 79, "annotations": []}
{"role": "student", "content": "sure", "session_id": 14488, "sequence_id": 80, "annotations": []}
{"role": "volunteer", "content": "Have you tried this already?", "session_id": 14488, "sequence_id": 81, "annotations": []}
{"role": "student", "content": "no", "session_id": 14488, "sequence_id": 82, "annotations": []}
{"role": "student", "content": "ion get it", "session_id": 14488, "sequence_id": 83, "annotations": []}
{"role": "volunteer", "content": "OK! No worries!.", "session_id": 14488, "sequence_id": 84, "annotations": []}
{"role": "volunteer", "content": "First, what is the sum of interior angles of a triangle?", "session_id": 14488, "sequence_id": 85, "annotations": []}
{"role": "student", "content": "180?", "session_id": 14488, "sequence_id": 86, "annotations": []}
{"role": "volunteer", "content": "TRUE!", "session_id": 14488, "sequence_id": 87, "annotations": []}
{"role": "volunteer", "content": "so angle A + angle B + angle ACB =180, do you agree?", "session_id": 14488, "sequence_id": 88, "annotations": []}
{"role": "student", "content": "yes", "session_id": 14488, "sequence_id": 89, "annotations": []}
{"role": "volunteer", "content": "Next, for two supplementary angles, what is the sum of the two angles?", "session_id": 14488, "sequence_id": 90, "annotations": []}
{"role": "student", "content": "mk is 15", "session_id": 14488, "sequence_id": 91, "annotations": []}
{"role": "student", "content": "so", "session_id": 14488, "sequence_id": 92, "annotations": []}
{"role": "student", "content": "is uh", "session_id": 14488, "sequence_id": 93, "annotations": []}
{"role": "student", "content": "ml also 15", "session_id": 14488, "sequence_id": 94, "annotations": []}
{"role": "student", "content": "since there's supposed to be 2 equal sides", "session_id": 14488, "sequence_id": 95, "annotations": []}
{"role": "volunteer", "content": "do you see the graph?", "session_id": 14488, "sequence_id": 96, "annotations": []}
{"role": "student", "content": "no", "session_id": 14488, "sequence_id": 97, "annotations": []}
{"role": "student", "content": "i do now", "session_id": 14488, "sequence_id": 98, "annotations": []}
{"role": "volunteer", "content": "OK ! AB is a line", "session_id": 14488, "sequence_id": 99, "annotations": []}
{"role": "volunteer", "content": "O is a point in between A and B", "session_id": 14488, "sequence_id": 100, "annotations": []}
{"role": "volunteer", "content": "O is on line AB", "session_id": 14488, "sequence_id": 101, "annotations": []}
{"role": "volunteer", "content": "OC is a ray", "session_id": 14488, "sequence_id": 102, "annotations": []}
{"role": "volunteer", "content": "what is the angle AOC + abgle BOC?", "session_id": 14488, "sequence_id": 103, "annotations": []}
{"role": "student", "content": "Teacher imma be dead honest with you", "session_id": 14488, "sequence_id": 104, "annotations": [{"pii_type": "PERSON", "surrogate": "Teacher", "start": 0, "end": 7}]}
{"role": "volunteer", "content": "angle*", "session_id": 14488, "sequence_id": 105, "annotations": []}
{"role": "student", "content": "i have no idea what u js said", "session_id": 14488, "sequence_id": 106, "annotations": []}
{"role": "volunteer", "content": "OK! No worries! Have you ever heard of supplimentary angles?", "session_id": 14488, "sequence_id": 107, "annotations": []}
{"role": "student", "content": "yes but i forgot it", "session_id": 14488, "sequence_id": 108, "annotations": []}
{"role": "volunteer", "content": "Two angles are supplementary angles if the sum of them equals 180 degrees.", "session_id": 14488, "sequence_id": 109, "annotations": []}
{"role": "student", "content": "OHHH", "session_id": 14488, "sequence_id": 110, "annotations": []}
{"role": "volunteer", "content": "Please refer to my example, AOC and BOC are supplementary angles because the sum of them equals 180 degrees.", "session_id": 14488, "sequence_id": 111, "annotations": []}
{"role": "volunteer", "content": "do you agree with this?", "session_id": 14488, "sequence_id": 112, "annotations": []}
{"role": "student", "content": "uhh", "session_id": 14488, "sequence_id": 113, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 14488, "sequence_id": 114, "annotations": []}
{"role": "volunteer", "content": "Nice. Let's go back to the question is part 2.", "session_id": 14488, "sequence_id": 115, "annotations": []}
{"role": "student", "content": "ok", "session_id": 14488, "sequence_id": 116, "annotations": []}
{"role": "volunteer", "content": "ACB and BCD are supplementary angles as well because the sum of them equals 180 degrees", "session_id": 14488, "sequence_id": 117, "annotations": []}
{"role": "volunteer", "content": "do you agree?", "session_id": 14488, "sequence_id": 118, "annotations": []}
{"role": "student", "content": "yes", "session_id": 14488, "sequence_id": 119, "annotations": []}
{"role": "volunteer", "content": "Nice! Now we can obtain an equation that A + B + ACB=ACB+BCD", "session_id": 14488, "sequence_id": 120, "annotations": []}
{"role": "volunteer", "content": "Do you agree?", "session_id": 14488, "sequence_id": 121, "annotations": []}
{"role": "student", "content": "yes", "session_id": 14488, "sequence_id": 122, "annotations": []}
{"role": "volunteer", "content": "Cool! So we cancel out ACB for both sides of the equation, what we can get?", "session_id": 14488, "sequence_id": 123, "annotations": []}
{"role": "student", "content": "i have to eat..", "session_id": 14488, "sequence_id": 124, "annotations": []}
{"role": "volunteer", "content": "OK! See you! You have made a progress!", "session_id": 14488, "sequence_id": 125, "annotations": []}
{"role": "student", "content": "thank you", "session_id": 14488, "sequence_id": 126, "annotations": []}
{"role": "student", "content": "see you!", "session_id": 14488, "sequence_id": 127, "annotations": []}
{"role": "student", "content": "Hiii", "session_id": 14680, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "Hi, I'm Sarah, how are you?", "session_id": 14680, "sequence_id": 1, "annotations": [{"pii_type": "PERSON", "surrogate": "Sarah", "start": 8, "end": 13}]}
{"role": "student", "content": "Hi Sarah im fine how are you?", "session_id": 14680, "sequence_id": 2, "annotations": [{"pii_type": "PERSON", "surrogate": "Sarah", "start": 3, "end": 8}]}
{"role": "volunteer", "content": "I'm doing great, what can I help you with today?", "session_id": 14680, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "Thats good,  I need help with finding a point on a line segment that splits the line into a certain ratio", "session_id": 14680, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "Okay! Line partitions, perfect, do you have a specific problem you want to do or you want to just make some up and practice", "session_id": 14680, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "Any is fine", "session_id": 14680, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "I just want to know how to do it better like i have a quiz coming up", "session_id": 14680, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "If you have a specific problem you want to try, feel free to just draw on the white board.", "session_id": 14680, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "Okay", "session_id": 14680, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "Are you able to see what I am drawing right now?", "session_id": 14680, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 14680, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "Ok, so, if this line is 10 blocks long, how long would it be if you split the line into 2 parts?", "session_id": 14680, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "That are equally long", "session_id": 14680, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "5?", "session_id": 14680, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "Yes, so you just cut it in half and the line is now split in two equal parts", "session_id": 14680, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "Ohhh", "session_id": 14680, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "Now, how long is each line that you just made?", "session_id": 14680, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "5", "session_id": 14680, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "So, both lines are now 5 blocks long, which means we can write the ratio between them as 5:5", "session_id": 14680, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "Do you know what that ratio can be simplified to?", "session_id": 14680, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "2.5", "session_id": 14680, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "Not exactly, when you see a ratio like 5:5 or 1:2, think of it as a fraction or a division problem.", "session_id": 14680, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "5:5 just means 5/5\n1:2 just means 1/2", "session_id": 14680, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "Ohhh", "session_id": 14680, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "So, 5 divided by 5 is..?", "session_id": 14680, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "1", "session_id": 14680, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "Exactly", "session_id": 14680, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "But remember to always keep your answer as a fraction", "session_id": 14680, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "So, we would have it as 1 / 1", "session_id": 14680, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "Which just means we have a ratio of 1:1", "session_id": 14680, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "Ohhh", "session_id": 14680, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "You could also think of it like this, if both parts are 5 blocks long, then they are 1-to-1  with each other.", "session_id": 14680, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "Ohhh i think im starting to get it", "session_id": 14680, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "Now, look at the new line I drew, how long is each part?", "session_id": 14680, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "1/10?", "session_id": 14680, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "Oh 2/10?", "session_id": 14680, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "Almost, h9wo long is the short side exactly now?", "session_id": 14680, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "2?", "session_id": 14680, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "Great! And the long side?", "session_id": 14680, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "its 8", "session_id": 14680, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "so 2/8?", "session_id": 14680, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "Exactly!, The ratio between these two parts is 2-to-8 or 2:8", "session_id": 14680, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "ohhhhh", "session_id": 14680, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "Do you know how we can simplify this ratio?", "session_id": 14680, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "Remember, a ratio is just another way to write a fraction basically, so simplifying a ratio is the same as simplifying a fraction.", "session_id": 14680, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "1/4?", "session_id": 14680, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "Yes, exactly, so would you write that as a ratio?", "session_id": 14680, "sequence_id": 47, "annotations": []}
{"role": "student", "content": "1:4", "session_id": 14680, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "Perfect!", "session_id": 14680, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "Now, how long would each part be if I told you to split it into a ratio of 4:6?", "session_id": 14680, "sequence_id": 50, "annotations": []}
{"role": "student", "content": "2/3?", "session_id": 14680, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "Exactly! Now, how long would each part be in terms of blocks?", "session_id": 14680, "sequence_id": 52, "annotations": []}
{"role": "student", "content": "2:3?", "session_id": 14680, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "Almost, if their ratio originally is 4:6 . This would mean that one side is 4 blocks long and the other is 6 blocks long.", "session_id": 14680, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "Giving us our 4 blocks to 6 blocks ratio", "session_id": 14680, "sequence_id": 55, "annotations": []}
{"role": "student", "content": "Ohhh I was thinking of that but I wasnt sure", "session_id": 14680, "sequence_id": 56, "annotations": []}
{"role": "student", "content": "Sarah can i have one more practice question I have to go", "session_id": 14680, "sequence_id": 57, "annotations": [{"pii_type": "PERSON", "surrogate": "Sarah", "start": 0, "end": 5}]}
{"role": "volunteer", "content": "Yes, of course!", "session_id": 14680, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "Now, If I want to split this line into a ratio of 3:2", "session_id": 14680, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "How long would each part be?", "session_id": 14680, "sequence_id": 60, "annotations": []}
{"role": "student", "content": "1/2", "session_id": 14680, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "Not exactly. One way we could approach this is by first dividing how long the line is by the amount of parts we have.", "session_id": 14680, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "So how long is the line in total?", "session_id": 14680, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "How many blocks long is the entire line?", "session_id": 14680, "sequence_id": 64, "annotations": []}
{"role": "student", "content": "10", "session_id": 14680, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "Great! Now, to find the amount of parts we have, we just have to add the numbers of our ratio together.", "session_id": 14680, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "Since our ratio was 3:2. The amount of parts we have is equal to 3 + 2", "session_id": 14680, "sequence_id": 67, "annotations": []}
{"role": "student", "content": "5", "session_id": 14680, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "Yes, so we have 5 parts in total.", "session_id": 14680, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "Remember, to find how long each part is, we can just divide how long it is by how many parts we have.", "session_id": 14680, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "So each part is 10 divided 5, blocks long", "session_id": 14680, "sequence_id": 71, "annotations": []}
{"role": "student", "content": "2", "session_id": 14680, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "Great!", "session_id": 14680, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "So, essentially we are just splitting the line into blocks of 2", "session_id": 14680, "sequence_id": 74, "annotations": []}
{"role": "volunteer", "content": "Now, the line is split into 5 parts of  2 blocks exactly.", "session_id": 14680, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "Remember, the ratio we wanted to find originally was 3:2", "session_id": 14680, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "So, one side will be 3 of these parts long, and the other will be 2 of these parts long.", "session_id": 14680, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "Do you want me to clarify anything so far?", "session_id": 14680, "sequence_id": 78, "annotations": []}
{"role": "student", "content": "Ohhh", "session_id": 14680, "sequence_id": 79, "annotations": []}
{"role": "student", "content": "I think i get it now, but unfortunately i have to go Sarah:(", "session_id": 14680, "sequence_id": 80, "annotations": [{"pii_type": "PERSON", "surrogate": "Sarah", "start": 53, "end": 58}]}
{"role": "student", "content": "Thank you for teaching me how to do this i really appreciate it", "session_id": 14680, "sequence_id": 81, "annotations": []}
{"role": "volunteer", "content": "That's okay, to answer one last question before you go. How long would each of the new parts be if one is 3 parts long and the other is 2 parts long?", "session_id": 14680, "sequence_id": 82, "annotations": []}
{"role": "volunteer", "content": "Of course, anytime!", "session_id": 14680, "sequence_id": 83, "annotations": []}
{"role": "student", "content": "5?", "session_id": 14680, "sequence_id": 84, "annotations": []}
{"role": "volunteer", "content": "Close, how long is each of the smaller 5 parts on the line", "session_id": 14680, "sequence_id": 85, "annotations": []}
{"role": "volunteer", "content": "How many blocks long?", "session_id": 14680, "sequence_id": 86, "annotations": []}
{"role": "student", "content": "3:2?", "session_id": 14680, "sequence_id": 87, "annotations": []}
{"role": "volunteer", "content": "That's our ratio. Take a look at the line again. Each of the parts is 2 blocks long right?", "session_id": 14680, "sequence_id": 88, "annotations": []}
{"role": "student", "content": "2?", "session_id": 14680, "sequence_id": 89, "annotations": []}
{"role": "volunteer", "content": "Exactly, each is 2 blocks long", "session_id": 14680, "sequence_id": 90, "annotations": []}
{"role": "student", "content": "6:4?", "session_id": 14680, "sequence_id": 91, "annotations": []}
{"role": "volunteer", "content": "Yes, the ratio of our parts is 6 blocks long to 4 blocks long!", "session_id": 14680, "sequence_id": 92, "annotations": []}
{"role": "volunteer", "content": "If you need to leave as well, feel free to end or leave this session whenever.", "session_id": 14680, "sequence_id": 93, "annotations": []}
{"role": "student", "content": "Oh okay!! It was really nice to meet then Sarah thanks a lot!", "session_id": 14680, "sequence_id": 94, "annotations": [{"pii_type": "PERSON", "surrogate": "Sarah", "start": 42, "end": 47}]}
{"role": "volunteer", "content": "It was nice to meet you too, anytime!", "session_id": 14680, "sequence_id": 95, "annotations": []}
{"role": "student", "content": "Hello", "session_id": 14733, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "Afternoon", "session_id": 14733, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "I need help with this homework assignment, would you mind taking a look at it?", "session_id": 14733, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "Fire away", "session_id": 14733, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "Here is the first question! there is only three.", "session_id": 14733, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "I am slightly confused, I neutrally understand this.", "session_id": 14733, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "Can you make it bigger?", "session_id": 14733, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 14733, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "Here you go!", "session_id": 14733, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "Okay let me copy it onto a notebook", "session_id": 14733, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "Okay! also I might have to go soon because of class.", "session_id": 14733, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "Oh", "session_id": 14733, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 14733, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "Okay so", "session_id": 14733, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "So you set it equal to zero right?", "session_id": 14733, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 14733, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "Thank you so much, I sadly have to go.", "session_id": 14733, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "I'm only speeding up because of time constraints on your end", "session_id": 14733, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "Yes thank you.", "session_id": 14733, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "There aer your ansers", "session_id": 14733, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "Thank you I got a better understanding.", "session_id": 14733, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "hi", "session_id": 15060, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "hi", "session_id": 15060, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "how are you doing?", "session_id": 15060, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "\ud83d\udc4d", "session_id": 15060, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "need some help in math?", "session_id": 15060, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "yup\ud83d\ude10", "session_id": 15060, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "can you post the problem to the board?", "session_id": 15060, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "yup", "session_id": 15060, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "i started this with someone else but they barely helped me", "session_id": 15060, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "I can help", "session_id": 15060, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "\ud83d\udc4d", "session_id": 15060, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "I like these kind of questions", "session_id": 15060, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "do you see the triangle with the dotted lines", "session_id": 15060, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "yea", "session_id": 15060, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "it's a right angle triangle", "session_id": 15060, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "yes!", "session_id": 15060, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "\ud83d\udc4d", "session_id": 15060, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "so we can use a special formula to find the sides and angles", "session_id": 15060, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "soa cah toa", "session_id": 15060, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "it's called SOH CAH TOA", "session_id": 15060, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "yes!", "session_id": 15060, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "\ud83d\udc4d", "session_id": 15060, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "do you know what the letters mean?", "session_id": 15060, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "yes", "session_id": 15060, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "let's start with the H", "session_id": 15060, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "hypotenuse", "session_id": 15060, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "what is that?", "session_id": 15060, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "yes! good job", "session_id": 15060, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "and in our diagram which one is the hypothenuse?", "session_id": 15060, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "2.1", "session_id": 15060, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "yes!", "session_id": 15060, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "yes! across from the right angles", "session_id": 15060, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "angle", "session_id": 15060, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "you got it", "session_id": 15060, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "sin/hyp", "session_id": 15060, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "cah = cos = adj/hyp", "session_id": 15060, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "yes!", "session_id": 15060, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "and which one is opposite to the angle 37?", "session_id": 15060, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "wait", "session_id": 15060, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "hm", "session_id": 15060, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "don't forget what we are trying to find", "session_id": 15060, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "wait what are we trying to find ? the cos ?", "session_id": 15060, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "we are trying to find the distance BC", "session_id": 15060, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "WHAT!?", "session_id": 15060, "sequence_id": 43, "annotations": []}
{"role": "student", "content": "the other guy told me CB", "session_id": 15060, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "or is it the same?", "session_id": 15060, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "iit's the same", "session_id": 15060, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "oh ok\ud83d\ude10", "session_id": 15060, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "now is BC adjacent or opposite to the angle 37?", "session_id": 15060, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "adj", "session_id": 15060, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "yes!", "session_id": 15060, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "so which one will we use Sin or Cos ?", "session_id": 15060, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "cos ?", "session_id": 15060, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "yes! excellent", "session_id": 15060, "sequence_id": 53, "annotations": []}
{"role": "student", "content": "\ud83d\udc4d", "session_id": 15060, "sequence_id": 54, "annotations": []}
{"role": "student", "content": "so what we did was cos (37) = CB/2.1", "session_id": 15060, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "yes!", "session_id": 15060, "sequence_id": 56, "annotations": []}
{"role": "student", "content": "\ud83d\udc4d", "session_id": 15060, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "so now cross multiply to find CB", "session_id": 15060, "sequence_id": 58, "annotations": []}
{"role": "student", "content": "oki", "session_id": 15060, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "great!", "session_id": 15060, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "so the 2.1s cancel on the right", "session_id": 15060, "sequence_id": 61, "annotations": []}
{"role": "student", "content": "yup", "session_id": 15060, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "do you have a calculator?", "session_id": 15060, "sequence_id": 63, "annotations": []}
{"role": "student", "content": "yea", "session_id": 15060, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "let me know what you get for CB", "session_id": 15060, "sequence_id": 65, "annotations": []}
{"role": "student", "content": "okay i got 1.67713 so on \ud83d\ude10", "session_id": 15060, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "that's it exactly", "session_id": 15060, "sequence_id": 67, "annotations": []}
{"role": "student", "content": "so i have to round it", "session_id": 15060, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "now can you round to the nearest hundredth?", "session_id": 15060, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 15060, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "to 2 Dec pl", "session_id": 15060, "sequence_id": 71, "annotations": []}
{"role": "student", "content": "oki", "session_id": 15060, "sequence_id": 72, "annotations": []}
{"role": "student", "content": "so 1.70 ?", "session_id": 15060, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "not quite", "session_id": 15060, "sequence_id": 74, "annotations": []}
{"role": "volunteer", "content": "the hundredth is the 2nd Dec pl\\", "session_id": 15060, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "so 1.67 or 1.68", "session_id": 15060, "sequence_id": 76, "annotations": []}
{"role": "student", "content": "oh oki\ud83d\ude10", "session_id": 15060, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "look at the next number (a 7 right)", "session_id": 15060, "sequence_id": 78, "annotations": []}
{"role": "student", "content": "yea", "session_id": 15060, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "so will it be 1.67 or 1.68", "session_id": 15060, "sequence_id": 80, "annotations": []}
{"role": "volunteer", "content": "?", "session_id": 15060, "sequence_id": 81, "annotations": []}
{"role": "student", "content": "uh 1.68", "session_id": 15060, "sequence_id": 82, "annotations": []}
{"role": "volunteer", "content": "yes! because the 7 is > 5", "session_id": 15060, "sequence_id": 83, "annotations": []}
{"role": "volunteer", "content": "excellent work", "session_id": 15060, "sequence_id": 84, "annotations": []}
{"role": "student", "content": "\ud83d\udc4d", "session_id": 15060, "sequence_id": 85, "annotations": []}
{"role": "volunteer", "content": "you're doing great!", "session_id": 15060, "sequence_id": 86, "annotations": []}
{"role": "student", "content": "\ud83d\udc4d", "session_id": 15060, "sequence_id": 87, "annotations": []}
{"role": "volunteer", "content": "any more or is that it for now?", "session_id": 15060, "sequence_id": 88, "annotations": []}
{"role": "student", "content": "i have some more", "session_id": 15060, "sequence_id": 89, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 15060, "sequence_id": 90, "annotations": []}
{"role": "volunteer", "content": "want to clear the board first?", "session_id": 15060, "sequence_id": 91, "annotations": []}
{"role": "student", "content": "sure", "session_id": 15060, "sequence_id": 92, "annotations": []}
{"role": "student", "content": "oki", "session_id": 15060, "sequence_id": 93, "annotations": []}
{"role": "volunteer", "content": "ok thanks I see it", "session_id": 15060, "sequence_id": 94, "annotations": []}
{"role": "student", "content": "\ud83d\udc4d", "session_id": 15060, "sequence_id": 95, "annotations": []}
{"role": "volunteer", "content": "so again we have a right angle so we can use SOH CAH TOA", "session_id": 15060, "sequence_id": 96, "annotations": []}
{"role": "volunteer", "content": "what is H this time?", "session_id": 15060, "sequence_id": 97, "annotations": []}
{"role": "student", "content": "hyp = 7", "session_id": 15060, "sequence_id": 98, "annotations": []}
{"role": "volunteer", "content": "yes!", "session_id": 15060, "sequence_id": 99, "annotations": []}
{"role": "student", "content": "and the opp is 3 ?", "session_id": 15060, "sequence_id": 100, "annotations": []}
{"role": "volunteer", "content": "and the side of length 3 is adjacent or opposite to the angle at B ?", "session_id": 15060, "sequence_id": 101, "annotations": []}
{"role": "student", "content": "opp ?", "session_id": 15060, "sequence_id": 102, "annotations": []}
{"role": "student", "content": "oh", "session_id": 15060, "sequence_id": 103, "annotations": []}
{"role": "student", "content": "nvm", "session_id": 15060, "sequence_id": 104, "annotations": []}
{"role": "volunteer", "content": "it's the angle at B we are trying to find", "session_id": 15060, "sequence_id": 105, "annotations": []}
{"role": "student", "content": "ok", "session_id": 15060, "sequence_id": 106, "annotations": []}
{"role": "student", "content": "so 3 is adj", "session_id": 15060, "sequence_id": 107, "annotations": []}
{"role": "volunteer", "content": "yes! excellent", "session_id": 15060, "sequence_id": 108, "annotations": []}
{"role": "volunteer", "content": "so we use ?", "session_id": 15060, "sequence_id": 109, "annotations": []}
{"role": "student", "content": "cos", "session_id": 15060, "sequence_id": 110, "annotations": []}
{"role": "volunteer", "content": "yes! cos again", "session_id": 15060, "sequence_id": 111, "annotations": []}
{"role": "volunteer", "content": "can you do it on the board?", "session_id": 15060, "sequence_id": 112, "annotations": []}
{"role": "student", "content": "oki", "session_id": 15060, "sequence_id": 113, "annotations": []}
{"role": "volunteer", "content": "excellent!", "session_id": 15060, "sequence_id": 114, "annotations": []}
{"role": "student", "content": "\ud83d\udc4d", "session_id": 15060, "sequence_id": 115, "annotations": []}
{"role": "volunteer", "content": "so put 3/7 in your calculator", "session_id": 15060, "sequence_id": 116, "annotations": []}
{"role": "student", "content": "oki", "session_id": 15060, "sequence_id": 117, "annotations": []}
{"role": "volunteer", "content": "but don't round", "session_id": 15060, "sequence_id": 118, "annotations": []}
{"role": "student", "content": "\ud83d\udc4d", "session_id": 15060, "sequence_id": 119, "annotations": []}
{"role": "volunteer", "content": "then you have to use 2nd (or inverse) button", "session_id": 15060, "sequence_id": 120, "annotations": []}
{"role": "volunteer", "content": "so find the inverse cosine", "session_id": 15060, "sequence_id": 121, "annotations": []}
{"role": "volunteer", "content": "can you find that button?", "session_id": 15060, "sequence_id": 122, "annotations": []}
{"role": "student", "content": "? so the csc?", "session_id": 15060, "sequence_id": 123, "annotations": []}
{"role": "volunteer", "content": "no", "session_id": 15060, "sequence_id": 124, "annotations": []}
{"role": "volunteer", "content": "2nd button then COS", "session_id": 15060, "sequence_id": 125, "annotations": []}
{"role": "volunteer", "content": "it should say cos^-1", "session_id": 15060, "sequence_id": 126, "annotations": []}
{"role": "student", "content": "oh oki", "session_id": 15060, "sequence_id": 127, "annotations": []}
{"role": "volunteer", "content": "tell me what you get", "session_id": 15060, "sequence_id": 128, "annotations": []}
{"role": "student", "content": "oki", "session_id": 15060, "sequence_id": 129, "annotations": []}
{"role": "student", "content": "so 64.62", "session_id": 15060, "sequence_id": 130, "annotations": []}
{"role": "student", "content": "so on", "session_id": 15060, "sequence_id": 131, "annotations": []}
{"role": "volunteer", "content": "yes! and you rounded correctly", "session_id": 15060, "sequence_id": 132, "annotations": []}
{"role": "volunteer", "content": "good job!", "session_id": 15060, "sequence_id": 133, "annotations": []}
{"role": "student", "content": "\ud83d\udc4d", "session_id": 15060, "sequence_id": 134, "annotations": []}
{"role": "volunteer", "content": "see, these questions are fun right?", "session_id": 15060, "sequence_id": 135, "annotations": []}
{"role": "student", "content": "not rlly lol", "session_id": 15060, "sequence_id": 136, "annotations": []}
{"role": "volunteer", "content": "yeah, that was a stretch!", "session_id": 15060, "sequence_id": 137, "annotations": []}
{"role": "volunteer", "content": "but you're getting it", "session_id": 15060, "sequence_id": 138, "annotations": []}
{"role": "volunteer", "content": "want to try one more?", "session_id": 15060, "sequence_id": 139, "annotations": []}
{"role": "student", "content": "somewhat \ud83e\udd23", "session_id": 15060, "sequence_id": 140, "annotations": []}
{"role": "student", "content": "oki we can do another", "session_id": 15060, "sequence_id": 141, "annotations": []}
{"role": "volunteer", "content": "ok, last one then I gotta go", "session_id": 15060, "sequence_id": 142, "annotations": []}
{"role": "student", "content": "oki\ud83d\udc4d", "session_id": 15060, "sequence_id": 143, "annotations": []}
{"role": "volunteer", "content": "ok, this one is a bit different", "session_id": 15060, "sequence_id": 144, "annotations": []}
{"role": "student", "content": "yea", "session_id": 15060, "sequence_id": 145, "annotations": []}
{"role": "volunteer", "content": "do you know what cot means?", "session_id": 15060, "sequence_id": 146, "annotations": []}
{"role": "student", "content": "yea cotangent", "session_id": 15060, "sequence_id": 147, "annotations": []}
{"role": "volunteer", "content": "right!", "session_id": 15060, "sequence_id": 148, "annotations": []}
{"role": "student", "content": "its adj/opp", "session_id": 15060, "sequence_id": 149, "annotations": []}
{"role": "volunteer", "content": "yes! exactly", "session_id": 15060, "sequence_id": 150, "annotations": []}
{"role": "volunteer", "content": "so looking at angle A", "session_id": 15060, "sequence_id": 151, "annotations": []}
{"role": "volunteer", "content": "which is adj ?", "session_id": 15060, "sequence_id": 152, "annotations": []}
{"role": "student", "content": "adj is 6", "session_id": 15060, "sequence_id": 153, "annotations": []}
{"role": "volunteer", "content": "yes!", "session_id": 15060, "sequence_id": 154, "annotations": []}
{"role": "student", "content": "\ud83d\udc4d", "session_id": 15060, "sequence_id": 155, "annotations": []}
{"role": "volunteer", "content": "and opp is?", "session_id": 15060, "sequence_id": 156, "annotations": []}
{"role": "student", "content": "8", "session_id": 15060, "sequence_id": 157, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 15060, "sequence_id": 158, "annotations": []}
{"role": "student", "content": "\ud83d\udc4d", "session_id": 15060, "sequence_id": 159, "annotations": []}
{"role": "volunteer", "content": "so cot A = ?", "session_id": 15060, "sequence_id": 160, "annotations": []}
{"role": "volunteer", "content": "excellent", "session_id": 15060, "sequence_id": 161, "annotations": []}
{"role": "student", "content": "\ud83d\udc4d", "session_id": 15060, "sequence_id": 162, "annotations": []}
{"role": "volunteer", "content": "now can you simplify this 6/8 ?", "session_id": 15060, "sequence_id": 163, "annotations": []}
{"role": "student", "content": "yes", "session_id": 15060, "sequence_id": 164, "annotations": []}
{"role": "volunteer", "content": "to get it in lowest terms", "session_id": 15060, "sequence_id": 165, "annotations": []}
{"role": "student", "content": "3/4", "session_id": 15060, "sequence_id": 166, "annotations": []}
{"role": "volunteer", "content": "you got it!", "session_id": 15060, "sequence_id": 167, "annotations": []}
{"role": "student", "content": "\ud83d\udc4d", "session_id": 15060, "sequence_id": 168, "annotations": []}
{"role": "volunteer", "content": "good job", "session_id": 15060, "sequence_id": 169, "annotations": []}
{"role": "student", "content": "thxs\ud83d\udc4d", "session_id": 15060, "sequence_id": 170, "annotations": []}
{"role": "volunteer", "content": "keep up the good work!", "session_id": 15060, "sequence_id": 171, "annotations": []}
{"role": "volunteer", "content": "have a great day!", "session_id": 15060, "sequence_id": 172, "annotations": []}
{"role": "student", "content": "\ud83d\udc4d u too", "session_id": 15060, "sequence_id": 173, "annotations": []}
{"role": "volunteer", "content": "thanks", "session_id": 15060, "sequence_id": 174, "annotations": []}
{"role": "volunteer", "content": "bye", "session_id": 15060, "sequence_id": 175, "annotations": []}
{"role": "student", "content": "bye", "session_id": 15060, "sequence_id": 176, "annotations": []}
{"role": "student", "content": "Hello", "session_id": 15090, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "How are you?", "session_id": 15090, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "Hey what\u2019s up?", "session_id": 15090, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "I\u2019m good, you?", "session_id": 15090, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "Same", "session_id": 15090, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "Do you need any help with anything?", "session_id": 15090, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "im just styding for a quiz", "session_id": 15090, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "Cool, what are you guys learning?", "session_id": 15090, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "so this is parent functions and transformations", "session_id": 15090, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "wait so what does intercepts mean", "session_id": 15090, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "The y intercept is where the function intersects with the y-axis, and the X intercept is where the function intersects with the X axis", "session_id": 15090, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "so like 0,2", "session_id": 15090, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "or", "session_id": 15090, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "Yeah that would be a y intercept", "session_id": 15090, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "so x intercept: none", "session_id": 15090, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "y intercept: (0,2)", "session_id": 15090, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "Sorry dude I gotta go now but good luck on your quiz!", "session_id": 15090, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "oh ok", "session_id": 15090, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "thanks", "session_id": 15090, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "Hi Emily: How are you today?", "session_id": 18446, "sequence_id": 0, "annotations": [{"pii_type": "PERSON", "surrogate": "Emily", "start": 3, "end": 8}]}
{"role": "student", "content": "Hi I'm good thanks", "session_id": 18446, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "What's up in Precalc?", "session_id": 18446, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "well I'm in ib analysis so idk if that's in the same area?", "session_id": 18446, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "Hmmm, if you can post a problem, I'll let you know if I can help with it.", "session_id": 18446, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "Ok", "session_id": 18446, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "This is the proble", "session_id": 18446, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "I don't see a post yet", "session_id": 18446, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "where do you post?", "session_id": 18446, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "There it is, give me a sec plz", "session_id": 18446, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "OK, looks like you are studying functions", "session_id": 18446, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 18446, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "OK, for (a), you want the output value (or f(x)) of the function when x = 3", "session_id": 18446, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "OK", "session_id": 18446, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "Understand what to do?", "session_id": 18446, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "yes", "session_id": 18446, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "Let me set up (b) on the board", "session_id": 18446, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "ok", "session_id": 18446, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "What you do here is plug in the f(x) function in place of x in the g(x) function.  Your answer will be an equation, not a value.", "session_id": 18446, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "Ohh Ok", "session_id": 18446, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "Make sense?", "session_id": 18446, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 18446, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "OK, for (c), start by switching the x and y values and rewriting the equation underneath", "session_id": 18446, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "Ok", "session_id": 18446, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "Plz show your work", "session_id": 18446, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "Good, now solve for y", "session_id": 18446, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "You might want to graph x - 3 and x + 3 on Desmos to see what a given linear func and its inverse look like!", "session_id": 18446, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "Anything else today?", "session_id": 18446, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "that's it for now, but thank you so much", "session_id": 18446, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "My pleasure, have a great rest of your day.", "session_id": 18446, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "Thank you, you too", "session_id": 18446, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "Hello", "session_id": 19165, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "Hi Ben", "session_id": 19165, "sequence_id": 1, "annotations": [{"pii_type": "PERSON", "surrogate": "Ben", "start": 3, "end": 6}]}
{"role": "student", "content": "So for a i got", "session_id": 19165, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "6 is correct.", "session_id": 19165, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "I dont get b tho", "session_id": 19165, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "How would it be incorrect isnt it correct since the majority is imaging", "session_id": 19165, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "For \"imaging\" to be the majority, the frequency would have to be at least 50% (0.50), correct?", "session_id": 19165, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "I dont get it", "session_id": 19165, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "ohh do you mean if imaging was more than 50 percent?", "session_id": 19165, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "Yes.", "session_id": 19165, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "Yeah it would be that", "session_id": 19165, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "How would I answer that", "session_id": 19165, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "You can say: \"Although 'imaging\" accounts for the greatest frequency of all missions (0.34), the statement is incorrect because the frequency is less than 0.50\"", "session_id": 19165, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "Ohh so therefore it doesnt count for the majority", "session_id": 19165, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "Got it", "session_id": 19165, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "Awesome!", "session_id": 19165, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "For 8 i put D", "session_id": 19165, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "And for 9 i picked A", "session_id": 19165, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "8(d) would be my choice, too.", "session_id": 19165, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "So when it asked for individuals it means this?", "session_id": 19165, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "Yes. The \"individuals\" are the objects being studied. In this case, it's homes.", "session_id": 19165, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "Got it", "session_id": 19165, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "I'm checking your answer for question 9...", "session_id": 19165, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "Got it", "session_id": 19165, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "Did you consider \"zip code\" to be categorical?", "session_id": 19165, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "Yes because isnt it numbers?", "session_id": 19165, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "Do variables mean numerical data?", "session_id": 19165, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "And categorical is like names", "session_id": 19165, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "Yes. \"categorical\" would include names.", "session_id": 19165, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "The question is tricky. Did you include the home's address as a variable?", "session_id": 19165, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "No categorical", "session_id": 19165, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "Oh wait i mean variable", "session_id": 19165, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "It's difficult to decide between 7 or 8 variables. Some people consider \"home address\" to be a variable, and others don't.", "session_id": 19165, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "Yeah ill ask my teacher about that", "session_id": 19165, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "But the other categorical variables would be: zip code, building material and whether there's a pool.", "session_id": 19165, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "Isnt zip code numerical though?", "session_id": 19165, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "Wouldnt it be a variable?", "session_id": 19165, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "Zip code is a variable. The question is if the variable is categorial or quantitative. If you Google: \"is zip code categorical or quantitative?\", it will say \"Categorical\".", "session_id": 19165, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "Ohh ok got it thanks", "session_id": 19165, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "Alright then i also think B is the answer", "session_id": 19165, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "(b) seems best. But I can't say that (e) is wrong, if we include \"home address\" as categorical variable.", "session_id": 19165, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 19165, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "alright thanks", "session_id": 19165, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "You could check with your teacher.", "session_id": 19165, "sequence_id": 43, "annotations": []}
{"role": "student", "content": "Yep", "session_id": 19165, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "Have a good day bye", "session_id": 19165, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "You as well.", "session_id": 19165, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "Thanks", "session_id": 19165, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "Hello!", "session_id": 21111, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "hi", "session_id": 21111, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "hello", "session_id": 21111, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "how are you?", "session_id": 21111, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "good, you?", "session_id": 21111, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "im doing well", "session_id": 21111, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "how can i help?", "session_id": 21111, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "Im trying to get ready for my sat but I dont think im the strongest in gemetry can you please help me?", "session_id": 21111, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "Sure have you taken any SAT practice tests yet?", "session_id": 21111, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "yeah a few", "session_id": 21111, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "my highest was only a 1050", "session_id": 21111, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "what score do you want to have?", "session_id": 21111, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "1350 or higher", "session_id": 21111, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "nothing below", "session_id": 21111, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "Oh ok and how much time do you have", "session_id": 21111, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "what grade are you in?", "session_id": 21111, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "i have a good hour and im in 11th", "session_id": 21111, "sequence_id": 16, "annotations": [{"pii_type": "GRADE_LEVEL", "surrogate": "11th", "start": 29, "end": 33}]}
{"role": "volunteer", "content": "so you're applying to colleges soon", "session_id": 21111, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "what colleges are you interested in?", "session_id": 21111, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "yes", "session_id": 21111, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "State University", "session_id": 21111, "sequence_id": 20, "annotations": [{"pii_type": "SCHOOL", "surrogate": "State University", "start": 0, "end": 16}]}
{"role": "volunteer", "content": "thats a good list, whats your current gpa?", "session_id": 21111, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "4.7", "session_id": 21111, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "Wow thats impressive", "session_id": 21111, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "are there any concepts you want to go over?", "session_id": 21111, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "probably circles alot but i would like to go over general stuff too", "session_id": 21111, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "back", "session_id": 21111, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "what type of questions on sat math do you struggle with?", "session_id": 21111, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "hi", "session_id": 2828, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "Hello!", "session_id": 2828, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "How can I help?", "session_id": 2828, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "with scientific notation", "session_id": 2828, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "Do you want me to provide questions or do you have your own questions you want to prepare on?", "session_id": 2828, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "you porvidwe", "session_id": 2828, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "provide", "session_id": 2828, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "ty", "session_id": 2828, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "No problem! give me one second to think of a few problems", "session_id": 2828, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "ok", "session_id": 2828, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "Ok it is on the board", "session_id": 2828, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "write this in standard form", "session_id": 2828, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "ok", "session_id": 2828, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "Is your answer 0.0048?", "session_id": 2828, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "yes", "session_id": 2828, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "Yes very good ok next question", "session_id": 2828, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "I will make them more and more difficult", "session_id": 2828, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "as we go on", "session_id": 2828, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "ok", "session_id": 2828, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "65000", "session_id": 2828, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "Yes", "session_id": 2828, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "Very good!", "session_id": 2828, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "Convert 0.0007476 to scientific notation", "session_id": 2828, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "good luck!", "session_id": 2828, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "Very difficult", "session_id": 2828, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "i'm i right", "session_id": 2828, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "Yes very good!", "session_id": 2828, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "7.476 x 10^-4", "session_id": 2828, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "is that like the caculator type", "session_id": 2828, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "Alex", "session_id": 2828, "sequence_id": 29, "annotations": [{"pii_type": "PERSON", "surrogate": "Alex", "start": 0, "end": 4}]}
{"role": "volunteer", "content": "this sign \"^\" means to the power of", "session_id": 2828, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "so ten to the power of -4", "session_id": 2828, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "7.476 times ten to the power of negative four", "session_id": 2828, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "check on the board", "session_id": 2828, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "Very Good!", "session_id": 2828, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "Ok I will give you questions", "session_id": 2828, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "ok", "session_id": 2828, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "5.2 x 10^4  or 3.9 x 10^5", "session_id": 2828, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "which one is larger", "session_id": 2828, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "A (the 1st one) or B(second one)", "session_id": 2828, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "Close why do you think it is A?", "session_id": 2828, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "A the 1st one", "session_id": 2828, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "No the correct answer is actually 3.9x10^5", "session_id": 2828, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "ohh", "session_id": 2828, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "expand each one and you will see B is bigger and then I am going to show you a trick", "session_id": 2828, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "because look even though 5.2 is slightly bigger then 3.9", "session_id": 2828, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "10^5 is wayyyy bigger then 10^4", "session_id": 2828, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "thats why B is correc", "session_id": 2828, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "correct", "session_id": 2828, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "ohh", "session_id": 2828, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "expand both A and B just for you to see", "session_id": 2828, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "5.2x10^4", "session_id": 2828, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "3.9x10^5", "session_id": 2828, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "put them in standard form and compare", "session_id": 2828, "sequence_id": 53, "annotations": []}
{"role": "student", "content": "now i understand", "session_id": 2828, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "Ok hmm one second let me find new questions", "session_id": 2828, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "you are good you understand everything though", "session_id": 2828, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "ok which one is larger", "session_id": 2828, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "8.1x10^-2", "session_id": 2828, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "9.5x10^-3", "session_id": 2828, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "trick question", "session_id": 2828, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "a or b", "session_id": 2828, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "(1st or second)", "session_id": 2828, "sequence_id": 62, "annotations": []}
{"role": "student", "content": "a", "session_id": 2828, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "Yes very good", "session_id": 2828, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "because the most important thing is the exponent of ten", "session_id": 2828, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "not the decimals (8.1, 9.5)", "session_id": 2828, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "and we know -2 is bigger then -3", "session_id": 2828, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "meaning A is right", "session_id": 2828, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "good job", "session_id": 2828, "sequence_id": 69, "annotations": []}
{"role": "student", "content": "yeah i did'nt know that", "session_id": 2828, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "It is ok let me think of new questions", "session_id": 2828, "sequence_id": 71, "annotations": []}
{"role": "student", "content": "ok", "session_id": 2828, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "ok add these two things", "session_id": 2828, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "3.45 x 10^3 and 2.1x10^2", "session_id": 2828, "sequence_id": 74, "annotations": []}
{"role": "student", "content": "i don't have a caculator", "session_id": 2828, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "its ok these are small numbers", "session_id": 2828, "sequence_id": 76, "annotations": []}
{"role": "student", "content": "i'll try", "session_id": 2828, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "i did them small", "session_id": 2828, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 2828, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "3.45x10^5", "session_id": 2828, "sequence_id": 80, "annotations": []}
{"role": "volunteer", "content": "2wiat sorry", "session_id": 2828, "sequence_id": 81, "annotations": []}
{"role": "volunteer", "content": "sorry", "session_id": 2828, "sequence_id": 82, "annotations": []}
{"role": "volunteer", "content": "3.45x10^3", "session_id": 2828, "sequence_id": 83, "annotations": []}
{"role": "volunteer", "content": "2.1x10^3", "session_id": 2828, "sequence_id": 84, "annotations": []}
{"role": "volunteer", "content": "do those", "session_id": 2828, "sequence_id": 85, "annotations": []}
{"role": "student", "content": "ok", "session_id": 2828, "sequence_id": 86, "annotations": []}
{"role": "student", "content": "am i right", "session_id": 2828, "sequence_id": 87, "annotations": []}
{"role": "volunteer", "content": "close but no", "session_id": 2828, "sequence_id": 88, "annotations": []}
{"role": "student", "content": "ohh", "session_id": 2828, "sequence_id": 89, "annotations": []}
{"role": "volunteer", "content": "heres how you do it", "session_id": 2828, "sequence_id": 90, "annotations": []}
{"role": "volunteer", "content": "Ohhhh wait", "session_id": 2828, "sequence_id": 91, "annotations": []}
{"role": "volunteer", "content": "ok I think you subtracted", "session_id": 2828, "sequence_id": 92, "annotations": []}
{"role": "volunteer", "content": "add them not subtract", "session_id": 2828, "sequence_id": 93, "annotations": []}
{"role": "volunteer", "content": "but yes very good", "session_id": 2828, "sequence_id": 94, "annotations": []}
{"role": "volunteer", "content": "try adding them though and then you are done", "session_id": 2828, "sequence_id": 95, "annotations": []}
{"role": "student", "content": "ok", "session_id": 2828, "sequence_id": 96, "annotations": []}
{"role": "volunteer", "content": "Yes very good but just one thing when adding, see how they were both 10^3", "session_id": 2828, "sequence_id": 97, "annotations": []}
{"role": "volunteer", "content": "that means you keep it at 10 to the power of 3", "session_id": 2828, "sequence_id": 98, "annotations": []}
{"role": "student", "content": "yes", "session_id": 2828, "sequence_id": 99, "annotations": []}
{"role": "volunteer", "content": "dont add both 3's to six", "session_id": 2828, "sequence_id": 100, "annotations": []}
{"role": "volunteer", "content": "its look keeping the denominator of the fraction the same when adding", "session_id": 2828, "sequence_id": 101, "annotations": []}
{"role": "volunteer", "content": "you still keep the three", "session_id": 2828, "sequence_id": 102, "annotations": []}
{"role": "volunteer", "content": "dont add the threes and make a six", "session_id": 2828, "sequence_id": 103, "annotations": []}
{"role": "volunteer", "content": "but yes good job though", "session_id": 2828, "sequence_id": 104, "annotations": []}
{"role": "student", "content": "you mean keep the number after the ten", "session_id": 2828, "sequence_id": 105, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 2828, "sequence_id": 106, "annotations": []}
{"role": "volunteer", "content": "understand?", "session_id": 2828, "sequence_id": 107, "annotations": []}
{"role": "student", "content": "yes", "session_id": 2828, "sequence_id": 108, "annotations": []}
{"role": "volunteer", "content": "i circled the mistake on the board in green", "session_id": 2828, "sequence_id": 109, "annotations": []}
{"role": "volunteer", "content": "Very good!", "session_id": 2828, "sequence_id": 110, "annotations": []}
{"role": "volunteer", "content": "I think you are ready", "session_id": 2828, "sequence_id": 111, "annotations": []}
{"role": "student", "content": "for", "session_id": 2828, "sequence_id": 112, "annotations": []}
{"role": "volunteer", "content": "Oh one more way to do the problem", "session_id": 2828, "sequence_id": 113, "annotations": []}
{"role": "volunteer", "content": "for your test", "session_id": 2828, "sequence_id": 114, "annotations": []}
{"role": "student", "content": "ohh", "session_id": 2828, "sequence_id": 115, "annotations": []}
{"role": "volunteer", "content": "one more way to do this problem", "session_id": 2828, "sequence_id": 116, "annotations": []}
{"role": "volunteer", "content": "convert both of these into standard form", "session_id": 2828, "sequence_id": 117, "annotations": []}
{"role": "volunteer", "content": "try really quick", "session_id": 2828, "sequence_id": 118, "annotations": []}
{"role": "volunteer", "content": "and then we are done", "session_id": 2828, "sequence_id": 119, "annotations": []}
{"role": "volunteer", "content": "just to make sure you really have this", "session_id": 2828, "sequence_id": 120, "annotations": []}
{"role": "student", "content": "ok", "session_id": 2828, "sequence_id": 121, "annotations": []}
{"role": "student", "content": "done", "session_id": 2828, "sequence_id": 122, "annotations": []}
{"role": "volunteer", "content": "good then add both those numbers up", "session_id": 2828, "sequence_id": 123, "annotations": []}
{"role": "volunteer", "content": "which would give you", "session_id": 2828, "sequence_id": 124, "annotations": []}
{"role": "volunteer", "content": "5550", "session_id": 2828, "sequence_id": 125, "annotations": []}
{"role": "volunteer", "content": "and then you can convert it back into scientific notation", "session_id": 2828, "sequence_id": 126, "annotations": []}
{"role": "volunteer", "content": "into 5.55 x 10 ^3", "session_id": 2828, "sequence_id": 127, "annotations": []}
{"role": "volunteer", "content": "same thing", "session_id": 2828, "sequence_id": 128, "annotations": []}
{"role": "volunteer", "content": "thats another cool method you can do", "session_id": 2828, "sequence_id": 129, "annotations": []}
{"role": "volunteer", "content": "so yeah just so you know", "session_id": 2828, "sequence_id": 130, "annotations": []}
{"role": "volunteer", "content": "do you get everything?", "session_id": 2828, "sequence_id": 131, "annotations": []}
{"role": "student", "content": "yes", "session_id": 2828, "sequence_id": 132, "annotations": []}
{"role": "volunteer", "content": "Great! I think you are ready!", "session_id": 2828, "sequence_id": 133, "annotations": []}
{"role": "volunteer", "content": "Do you want more or is that enough?", "session_id": 2828, "sequence_id": 134, "annotations": []}
{"role": "student", "content": "where is it", "session_id": 2828, "sequence_id": 135, "annotations": []}
{"role": "volunteer", "content": "Where is what?", "session_id": 2828, "sequence_id": 136, "annotations": []}
{"role": "volunteer", "content": "You want more questions?", "session_id": 2828, "sequence_id": 137, "annotations": []}
{"role": "student", "content": "the question", "session_id": 2828, "sequence_id": 138, "annotations": []}
{"role": "volunteer", "content": "ok here", "session_id": 2828, "sequence_id": 139, "annotations": []}
{"role": "student", "content": "i can't see them", "session_id": 2828, "sequence_id": 140, "annotations": []}
{"role": "volunteer", "content": "want a pretty difficult question?", "session_id": 2828, "sequence_id": 141, "annotations": []}
{"role": "student", "content": "some", "session_id": 2828, "sequence_id": 142, "annotations": []}
{"role": "volunteer", "content": "Ok here subtract these", "session_id": 2828, "sequence_id": 143, "annotations": []}
{"role": "volunteer", "content": "actually", "session_id": 2828, "sequence_id": 144, "annotations": []}
{"role": "volunteer", "content": "add these", "session_id": 2828, "sequence_id": 145, "annotations": []}
{"role": "student", "content": "ok", "session_id": 2828, "sequence_id": 146, "annotations": []}
{"role": "volunteer", "content": "dont subtract jsut add these", "session_id": 2828, "sequence_id": 147, "annotations": []}
{"role": "volunteer", "content": "Ok one problem so with these", "session_id": 2828, "sequence_id": 148, "annotations": []}
{"role": "volunteer", "content": "if the exponents on the tens arent the same", "session_id": 2828, "sequence_id": 149, "annotations": []}
{"role": "volunteer", "content": "then you cant add the decimal", "session_id": 2828, "sequence_id": 150, "annotations": []}
{"role": "volunteer", "content": "see how like one is 10^4 and one is 10^3", "session_id": 2828, "sequence_id": 151, "annotations": []}
{"role": "volunteer", "content": "yes?", "session_id": 2828, "sequence_id": 152, "annotations": []}
{"role": "student", "content": "so i got it right", "session_id": 2828, "sequence_id": 153, "annotations": []}
{"role": "volunteer", "content": "No but close", "session_id": 2828, "sequence_id": 154, "annotations": []}
{"role": "volunteer", "content": "but look see how the numbers after the ten are different", "session_id": 2828, "sequence_id": 155, "annotations": []}
{"role": "student", "content": "yes", "session_id": 2828, "sequence_id": 156, "annotations": []}
{"role": "volunteer", "content": "that means you can not add the decmials up", "session_id": 2828, "sequence_id": 157, "annotations": []}
{"role": "volunteer", "content": "its the same thing in fraction you can only add if th denominator is the same", "session_id": 2828, "sequence_id": 158, "annotations": []}
{"role": "volunteer", "content": "so how to do this is", "session_id": 2828, "sequence_id": 159, "annotations": []}
{"role": "volunteer", "content": "convert 4.5x10^4 so that it has 10^3", "session_id": 2828, "sequence_id": 160, "annotations": []}
{"role": "volunteer", "content": "so you know that 45x10^3 is the same as 4.5x10^4 right?", "session_id": 2828, "sequence_id": 161, "annotations": []}
{"role": "student", "content": "yes", "session_id": 2828, "sequence_id": 162, "annotations": []}
{"role": "volunteer", "content": "so yeah rewrite the top part to 45x10^3 THEN do your method", "session_id": 2828, "sequence_id": 163, "annotations": []}
{"role": "volunteer", "content": "and then itll work", "session_id": 2828, "sequence_id": 164, "annotations": []}
{"role": "volunteer", "content": "and remember dont add up the numbers after ten they stay the same", "session_id": 2828, "sequence_id": 165, "annotations": []}
{"role": "student", "content": "so it 3", "session_id": 2828, "sequence_id": 166, "annotations": []}
{"role": "volunteer", "content": "yes very good", "session_id": 2828, "sequence_id": 167, "annotations": []}
{"role": "volunteer", "content": "ok so now redo the question but instead of 4.5x10^4 change it to 45x10^3", "session_id": 2828, "sequence_id": 168, "annotations": []}
{"role": "student", "content": "like this", "session_id": 2828, "sequence_id": 169, "annotations": []}
{"role": "volunteer", "content": "almost but make the ten to the power of 3", "session_id": 2828, "sequence_id": 170, "annotations": []}
{"role": "student", "content": "ohh", "session_id": 2828, "sequence_id": 171, "annotations": []}
{"role": "volunteer", "content": "yesss now add them up and itll be easy", "session_id": 2828, "sequence_id": 172, "annotations": []}
{"role": "student", "content": "so does that mean the answer is going to be 86x10^3", "session_id": 2828, "sequence_id": 173, "annotations": []}
{"role": "volunteer", "content": "very close if you look closely its 3.1 not 31", "session_id": 2828, "sequence_id": 174, "annotations": []}
{"role": "volunteer", "content": "so dont do 45+31", "session_id": 2828, "sequence_id": 175, "annotations": []}
{"role": "volunteer", "content": "its 45+3.1", "session_id": 2828, "sequence_id": 176, "annotations": []}
{"role": "volunteer", "content": "so yes the answer is 48.1", "session_id": 2828, "sequence_id": 177, "annotations": []}
{"role": "student", "content": "ohh", "session_id": 2828, "sequence_id": 178, "annotations": []}
{"role": "volunteer", "content": "very good ok now just some scientific notation practice", "session_id": 2828, "sequence_id": 179, "annotations": []}
{"role": "volunteer", "content": "so all i did there was just convert", "session_id": 2828, "sequence_id": 180, "annotations": []}
{"role": "volunteer", "content": "the 4.5x10^4 to 45x10^3", "session_id": 2828, "sequence_id": 181, "annotations": []}
{"role": "volunteer", "content": "that way we can add the two numbers up because the numbers after ten have to be the same", "session_id": 2828, "sequence_id": 182, "annotations": []}
{"role": "student", "content": "now i understand", "session_id": 2828, "sequence_id": 183, "annotations": []}
{"role": "volunteer", "content": "Yes very good ok Im going to give you easy questions now", "session_id": 2828, "sequence_id": 184, "annotations": []}
{"role": "volunteer", "content": "2.6x10^-5", "session_id": 2828, "sequence_id": 185, "annotations": []}
{"role": "volunteer", "content": "Yes sorry", "session_id": 2828, "sequence_id": 186, "annotations": []}
{"role": "volunteer", "content": "yes very good!", "session_id": 2828, "sequence_id": 187, "annotations": []}
{"role": "volunteer", "content": "Ok which number is larger", "session_id": 2828, "sequence_id": 188, "annotations": []}
{"role": "volunteer", "content": "this might be  a little of a trick", "session_id": 2828, "sequence_id": 189, "annotations": []}
{"role": "volunteer", "content": "be verrry careful", "session_id": 2828, "sequence_id": 190, "annotations": []}
{"role": "volunteer", "content": "7.4x10^6", "session_id": 2828, "sequence_id": 191, "annotations": []}
{"role": "volunteer", "content": "7.35x10^6", "session_id": 2828, "sequence_id": 192, "annotations": []}
{"role": "volunteer", "content": "very simple but lets see if it tricks you", "session_id": 2828, "sequence_id": 193, "annotations": []}
{"role": "volunteer", "content": "a or b", "session_id": 2828, "sequence_id": 194, "annotations": []}
{"role": "volunteer", "content": "if it helps put both of them in stnadard form and see which one is bigger", "session_id": 2828, "sequence_id": 195, "annotations": []}
{"role": "student", "content": "A", "session_id": 2828, "sequence_id": 196, "annotations": []}
{"role": "student", "content": "wait let me see", "session_id": 2828, "sequence_id": 197, "annotations": []}
{"role": "volunteer", "content": "very good", "session_id": 2828, "sequence_id": 198, "annotations": []}
{"role": "volunteer", "content": "now which one is bigger", "session_id": 2828, "sequence_id": 199, "annotations": []}
{"role": "student", "content": "B", "session_id": 2828, "sequence_id": 200, "annotations": []}
{"role": "volunteer", "content": "A is clearly bigger", "session_id": 2828, "sequence_id": 201, "annotations": []}
{"role": "student", "content": "i was gonna say a", "session_id": 2828, "sequence_id": 202, "annotations": []}
{"role": "student", "content": "guess i was too late", "session_id": 2828, "sequence_id": 203, "annotations": []}
{"role": "volunteer", "content": "but at least you expanded rightbut  after expanding we should know 7.4x10^6>7.35x10^6", "session_id": 2828, "sequence_id": 204, "annotations": []}
{"role": "volunteer", "content": "so be careful", "session_id": 2828, "sequence_id": 205, "annotations": []}
{"role": "student", "content": "yeh i wasn't really looking good", "session_id": 2828, "sequence_id": 206, "annotations": []}
{"role": "student", "content": "ok", "session_id": 2828, "sequence_id": 207, "annotations": []}
{"role": "student", "content": "i'll be careful", "session_id": 2828, "sequence_id": 208, "annotations": []}
{"role": "volunteer", "content": "True or false: The number 52,300 is the same as 5.23x10^3", "session_id": 2828, "sequence_id": 209, "annotations": []}
{"role": "student", "content": "false", "session_id": 2828, "sequence_id": 210, "annotations": []}
{"role": "student", "content": "wait", "session_id": 2828, "sequence_id": 211, "annotations": []}
{"role": "volunteer", "content": "is that your final answer?", "session_id": 2828, "sequence_id": 212, "annotations": []}
{"role": "student", "content": "yes", "session_id": 2828, "sequence_id": 213, "annotations": []}
{"role": "volunteer", "content": "yes very good", "session_id": 2828, "sequence_id": 214, "annotations": []}
{"role": "volunteer", "content": "next question", "session_id": 2828, "sequence_id": 215, "annotations": []}
{"role": "volunteer", "content": "0.0048 is the same as 4.8x10^-3", "session_id": 2828, "sequence_id": 216, "annotations": []}
{"role": "volunteer", "content": "true or false?", "session_id": 2828, "sequence_id": 217, "annotations": []}
{"role": "student", "content": "true", "session_id": 2828, "sequence_id": 218, "annotations": []}
{"role": "volunteer", "content": "very good is 55x10^2 the same as 5.5x10^3?", "session_id": 2828, "sequence_id": 219, "annotations": []}
{"role": "volunteer", "content": "yes or no", "session_id": 2828, "sequence_id": 220, "annotations": []}
{"role": "student", "content": "no", "session_id": 2828, "sequence_id": 221, "annotations": []}
{"role": "volunteer", "content": "wrong", "session_id": 2828, "sequence_id": 222, "annotations": []}
{"role": "volunteer", "content": "are you sure? these are the exact same", "session_id": 2828, "sequence_id": 223, "annotations": []}
{"role": "volunteer", "content": "make sure", "session_id": 2828, "sequence_id": 224, "annotations": []}
{"role": "volunteer", "content": "55x10^2 and 5.5x10^#", "session_id": 2828, "sequence_id": 225, "annotations": []}
{"role": "student", "content": "no", "session_id": 2828, "sequence_id": 226, "annotations": []}
{"role": "volunteer", "content": "expand them both", "session_id": 2828, "sequence_id": 227, "annotations": []}
{"role": "volunteer", "content": "3*", "session_id": 2828, "sequence_id": 228, "annotations": []}
{"role": "volunteer", "content": "put them both in standard form and you will see", "session_id": 2828, "sequence_id": 229, "annotations": []}
{"role": "volunteer", "content": "these are the exact same", "session_id": 2828, "sequence_id": 230, "annotations": []}
{"role": "volunteer", "content": "5.5x10^3 55x10^2", "session_id": 2828, "sequence_id": 231, "annotations": []}
{"role": "volunteer", "content": "Yes very good see how they are the same?", "session_id": 2828, "sequence_id": 232, "annotations": []}
{"role": "volunteer", "content": "good so try these", "session_id": 2828, "sequence_id": 233, "annotations": []}
{"role": "volunteer", "content": "4.7x10^-2 is the same as 470x10^-4", "session_id": 2828, "sequence_id": 234, "annotations": []}
{"role": "volunteer", "content": "true or false", "session_id": 2828, "sequence_id": 235, "annotations": []}
{"role": "student", "content": "false", "session_id": 2828, "sequence_id": 236, "annotations": []}
{"role": "volunteer", "content": "close check again", "session_id": 2828, "sequence_id": 237, "annotations": []}
{"role": "volunteer", "content": "this the last question check really closely", "session_id": 2828, "sequence_id": 238, "annotations": []}
{"role": "student", "content": "it does'nt look the same", "session_id": 2828, "sequence_id": 239, "annotations": []}
{"role": "volunteer", "content": "try both of them and write it close to the text", "session_id": 2828, "sequence_id": 240, "annotations": []}
{"role": "student", "content": "ok", "session_id": 2828, "sequence_id": 241, "annotations": []}
{"role": "volunteer", "content": "last try and then If you need help i will solve it in front of you", "session_id": 2828, "sequence_id": 242, "annotations": []}
{"role": "volunteer", "content": "wait see", "session_id": 2828, "sequence_id": 243, "annotations": []}
{"role": "volunteer", "content": "you did a mistake", "session_id": 2828, "sequence_id": 244, "annotations": []}
{"role": "volunteer", "content": "u brought it over 3 times", "session_id": 2828, "sequence_id": 245, "annotations": []}
{"role": "volunteer", "content": "u were only supposed to bring it over twice", "session_id": 2828, "sequence_id": 246, "annotations": []}
{"role": "volunteer", "content": "ohhhhhhh i see what you did", "session_id": 2828, "sequence_id": 247, "annotations": []}
{"role": "volunteer", "content": "for the first one", "session_id": 2828, "sequence_id": 248, "annotations": []}
{"role": "volunteer", "content": "its not 4.70", "session_id": 2828, "sequence_id": 249, "annotations": []}
{"role": "volunteer", "content": "its four hundred seventy", "session_id": 2828, "sequence_id": 250, "annotations": []}
{"role": "volunteer", "content": "as .0", "session_id": 2828, "sequence_id": 251, "annotations": []}
{"role": "student", "content": "right", "session_id": 2828, "sequence_id": 252, "annotations": []}
{"role": "volunteer", "content": "so how you would do the first one is this", "session_id": 2828, "sequence_id": 253, "annotations": []}
{"role": "volunteer", "content": "look", "session_id": 2828, "sequence_id": 254, "annotations": []}
{"role": "student", "content": "ok", "session_id": 2828, "sequence_id": 255, "annotations": []}
{"role": "volunteer", "content": "did you see what I just did", "session_id": 2828, "sequence_id": 256, "annotations": []}
{"role": "student", "content": "i idid'nt really get that", "session_id": 2828, "sequence_id": 257, "annotations": []}
{"role": "volunteer", "content": "ok wait just 470 x 10^-4", "session_id": 2828, "sequence_id": 258, "annotations": []}
{"role": "volunteer", "content": "I want to see your mistake", "session_id": 2828, "sequence_id": 259, "annotations": []}
{"role": "volunteer", "content": "Ohhh i see your mistake", "session_id": 2828, "sequence_id": 260, "annotations": []}
{"role": "volunteer", "content": "remember you keep treating it as if its 4.70 x 10^-4", "session_id": 2828, "sequence_id": 261, "annotations": []}
{"role": "volunteer", "content": "its not 4.70", "session_id": 2828, "sequence_id": 262, "annotations": []}
{"role": "volunteer", "content": ".0", "session_id": 2828, "sequence_id": 263, "annotations": []}
{"role": "volunteer", "content": "look at the board", "session_id": 2828, "sequence_id": 264, "annotations": []}
{"role": "volunteer", "content": "ok i put a decimal point", "session_id": 2828, "sequence_id": 265, "annotations": []}
{"role": "volunteer", "content": "now try it", "session_id": 2828, "sequence_id": 266, "annotations": []}
{"role": "volunteer", "content": "this time i specified wher the decmial point it", "session_id": 2828, "sequence_id": 267, "annotations": []}
{"role": "volunteer", "content": "is", "session_id": 2828, "sequence_id": 268, "annotations": []}
{"role": "volunteer", "content": "yes now put 470x10^-4", "session_id": 2828, "sequence_id": 269, "annotations": []}
{"role": "student", "content": "like this", "session_id": 2828, "sequence_id": 270, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 2828, "sequence_id": 271, "annotations": []}
{"role": "student", "content": "my chrombook is dying", "session_id": 2828, "sequence_id": 272, "annotations": []}
{"role": "volunteer", "content": "Oh ok its fine", "session_id": 2828, "sequence_id": 273, "annotations": []}
{"role": "volunteer", "content": "but ok last question", "session_id": 2828, "sequence_id": 274, "annotations": []}
{"role": "volunteer", "content": "for negative numbers after ten", "session_id": 2828, "sequence_id": 275, "annotations": []}
{"role": "volunteer", "content": "do you move the decimal to the left or right", "session_id": 2828, "sequence_id": 276, "annotations": []}
{"role": "student", "content": "i have 30 more minute left tho", "session_id": 2828, "sequence_id": 277, "annotations": []}
{"role": "volunteer", "content": "ok but this is the last question anyways so then you just move the decimal four spots to the left", "session_id": 2828, "sequence_id": 278, "annotations": []}
{"role": "volunteer", "content": "do you understand everything?", "session_id": 2828, "sequence_id": 279, "annotations": []}
{"role": "student", "content": "kind of", "session_id": 2828, "sequence_id": 280, "annotations": []}
{"role": "volunteer", "content": "Ok is there anything you are confused about", "session_id": 2828, "sequence_id": 281, "annotations": []}
{"role": "student", "content": "the question you just give", "session_id": 2828, "sequence_id": 282, "annotations": []}
{"role": "student", "content": "it has a power of -4", "session_id": 2828, "sequence_id": 283, "annotations": []}
{"role": "volunteer", "content": "yes good", "session_id": 2828, "sequence_id": 284, "annotations": []}
{"role": "student", "content": "so why was a going right", "session_id": 2828, "sequence_id": 285, "annotations": []}
{"role": "volunteer", "content": "nono you dont go right", "session_id": 2828, "sequence_id": 286, "annotations": []}
{"role": "volunteer", "content": "look for  470", "session_id": 2828, "sequence_id": 287, "annotations": []}
{"role": "volunteer", "content": "because its in the hundreds", "session_id": 2828, "sequence_id": 288, "annotations": []}
{"role": "volunteer", "content": "the decimal point already starts 470.00", "session_id": 2828, "sequence_id": 289, "annotations": []}
{"role": "student", "content": "ohh", "session_id": 2828, "sequence_id": 290, "annotations": []}
{"role": "volunteer", "content": "and then you move it to the left", "session_id": 2828, "sequence_id": 291, "annotations": []}
{"role": "student", "content": "now i see", "session_id": 2828, "sequence_id": 292, "annotations": []}
{"role": "volunteer", "content": "but because its a bignumber it already starts far out", "session_id": 2828, "sequence_id": 293, "annotations": []}
{"role": "volunteer", "content": "yes ok", "session_id": 2828, "sequence_id": 294, "annotations": []}
{"role": "volunteer", "content": "any questions before I leave?", "session_id": 2828, "sequence_id": 295, "annotations": []}
{"role": "student", "content": "i'm ok", "session_id": 2828, "sequence_id": 296, "annotations": []}
{"role": "volunteer", "content": "Ok sounds great!", "session_id": 2828, "sequence_id": 297, "annotations": []}
{"role": "student", "content": "thank you", "session_id": 2828, "sequence_id": 298, "annotations": []}
{"role": "volunteer", "content": "No problem!", "session_id": 2828, "sequence_id": 299, "annotations": []}
{"role": "volunteer", "content": "Have a good day and Merry Christmas!", "session_id": 2828, "sequence_id": 300, "annotations": []}
{"role": "student", "content": "you too", "session_id": 2828, "sequence_id": 301, "annotations": []}
{"role": "volunteer", "content": "Hello, how is it going?", "session_id": 4767, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "What can I help you with today?", "session_id": 4767, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "How does your tutoring service work?", "session_id": 4767, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "It's going good thanks for asking", "session_id": 4767, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "We offer 1:1-on-1.", "session_id": 4767, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "I see, would you be able to help me with homewlrk", "session_id": 4767, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "Of course. Could you please put it on the board?", "session_id": 4767, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 4767, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "Do I take a picture or type the problem?", "session_id": 4767, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "Either works.", "session_id": 4767, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "Ok", "session_id": 4767, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "I am logging into my school portal to get the question", "session_id": 4767, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "No worries, take your time.", "session_id": 4767, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "Okay, the first to simplfiying is to first expand the expression \"-2(k+1)\". How can we do that?", "session_id": 4767, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "Oops I meant to put terms instead of forms.  But I am not sure", "session_id": 4767, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "No worries, still the same method.", "session_id": 4767, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "So, what is -2(k+1) expanded?", "session_id": 4767, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "Hmm I don't know", "session_id": 4767, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "We need to use the distributive property to do so.", "session_id": 4767, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "When we do it, we get the following:", "session_id": 4767, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "-2(k+1) = -2k-2.", "session_id": 4767, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "Ohhhh okay", "session_id": 4767, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "Yeah.", "session_id": 4767, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "So the expression we have now is the following:", "session_id": 4767, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "-2k-2-6k.", "session_id": 4767, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "Can we still simplify?", "session_id": 4767, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "Yes?", "session_id": 4767, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "Yes we can. What can we simplify?", "session_id": 4767, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "I'm not sure", "session_id": 4767, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "The \"k\" terms.", "session_id": 4767, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "So, we get -8k-2.", "session_id": 4767, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "If we wanted to simplify this expression further, we can do -2(4k+1).", "session_id": 4767, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "Since both the terms -8k and -2 share a common factor of -2.", "session_id": 4767, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "That can be taken out.", "session_id": 4767, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "Ohhhh okay I see", "session_id": 4767, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "Yes.", "session_id": 4767, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "That makes sense", "session_id": 4767, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "I'm glad.", "session_id": 4767, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "I was a little confused on that specific topic but I appreciate you for explaining", "session_id": 4767, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "Of course.", "session_id": 4767, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "Is there anything else that I can help you with today?", "session_id": 4767, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "Hi", "session_id": 5377, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "Hi, uh,", "session_id": 5377, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "I'm gonna be uploading", "session_id": 5377, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "some new material.", "session_id": 5377, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "uh like, uh, uh, if", "session_id": 5377, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "right.", "session_id": 5377, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "I", "session_id": 5377, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 5377, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "I upload this.", "session_id": 5377, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "OK", "session_id": 5377, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "I want you to make something uh similar to this because", "session_id": 5377, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "we have a major crisis.", "session_id": 5377, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "I need help with Geometry", "session_id": 8478, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "Hi whatdc", "session_id": 8478, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "hi what can i help with?", "session_id": 8478, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "I am struggling to understand concepts in geometry", "session_id": 8478, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "okay give me one that youre struggling with and I can help you!", "session_id": 8478, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "I'm going to try and upload a picture of a problem", "session_id": 8478, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "okay", "session_id": 8478, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "Here are a few", "session_id": 8478, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "okay we can start with y=-2x+9", "session_id": 8478, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "I really don't understand at all. and am struggling in class", "session_id": 8478, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "its okay!", "session_id": 8478, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "the -2x is your slope", "session_id": 8478, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "that's your rise over run", "session_id": 8478, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "so basically you go up 2 and run 1 on the graph", "session_id": 8478, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "but in this case its negative! so you go down 2 run 1.", "session_id": 8478, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "the 9 is your y-intercept. this is the point where the line crosses the y axis, the line crossing down the middle", "session_id": 8478, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "so you go up 2 over 1?", "session_id": 8478, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "down 2 over 1! the 2 is negative in this problem :)", "session_id": 8478, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "can you please slow down?", "session_id": 8478, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "I just need a sec to take notes", "session_id": 8478, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "yes what part are you confused on?", "session_id": 8478, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "ohh Liam!", "session_id": 8478, "sequence_id": 21, "annotations": [{"pii_type": "PERSON", "surrogate": "Liam", "start": 4, "end": 8}]}
{"role": "volunteer", "content": "sorry", "session_id": 8478, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "we start at 0 axis and go down 2?", "session_id": 8478, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "no, I would suggest you plot the y-intercept first, which is 9!", "session_id": 8478, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "then go down 2 over 1!", "session_id": 8478, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "are the y and x axis always the same each time. Meaning they don't change", "session_id": 8478, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "Ok, got it. start at 9, go down 2 over 1", "session_id": 8478, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "yep pretty much!", "session_id": 8478, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "do you want to try one of the other problems on your own to see if you understand?", "session_id": 8478, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "that's the answer?", "session_id": 8478, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "like the graphing?", "session_id": 8478, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "I'm sorry, I don't understand. I\"m not sure I can learn via the chat.", "session_id": 8478, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "Is there any video sessions", "session_id": 8478, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "I'm actually not too sure but I'm sure I can find a quick video for you to watch to get a better grasp of this concept!", "session_id": 8478, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "ok, great", "session_id": 8478, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "https://www.mathisfun.com", "session_id": 8478, "sequence_id": 36, "annotations": [{"pii_type": "URL", "surrogate": "https://www.mathisfun.com", "start": 0, "end": 25}]}
{"role": "volunteer", "content": "this youtuber is really handy for math", "session_id": 8478, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "hello?", "session_id": 8478, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "I'll end the session now!", "session_id": 8478, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "hi", "session_id": 8538, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "hello", "session_id": 8538, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "how can i help you today", "session_id": 8538, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "Also i do have to leave reallly soon just to let you know so I apologize in advance", "session_id": 8538, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "ok", "session_id": 8538, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "Figure A no, Figure B yes, Figure C no, Figure D yes, Figure E yes, Figure F no", "session_id": 8538, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "for Figure A its because both points on the top share same y values", "session_id": 8538, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "Figure B is a straight line with positive slope", "session_id": 8538, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "Figure C is a downward parabola", "session_id": 8538, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "Figure D has no same y values", "session_id": 8538, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "Figure E every y corresponds with a x value", "session_id": 8538, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "Figure F this is a wave", "session_id": 8538, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "sorry i need to leave now but i hope this helped you understand", "session_id": 8538, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "Hello", "session_id": 6219, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "Hi Lily! What do you need help with today?", "session_id": 6219, "sequence_id": 1, "annotations": [{"pii_type": "PERSON", "surrogate": "Lily", "start": 3, "end": 7}]}
{"role": "student", "content": "Are you able to use. Your mic", "session_id": 6219, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "I'm sorry, I cannot right now because I am in a loud environment.", "session_id": 6219, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "But you can use your mic if you want to.", "session_id": 6219, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "No it\u2019s ok I just need help with a question from my notes it\u2019s about dialations in my notes", "session_id": 6219, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "Ohh ok, can you take a picture and upload it onto the whiteboard?", "session_id": 6219, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "Ok got it!", "session_id": 6219, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "Ok, so what is the question asking you to do?", "session_id": 6219, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "Find the value of the missing  x using the formulas", "session_id": 6219, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "Sure!", "session_id": 6219, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "Ok, so we know that <B is equal to <N because the triangles add up similar triangles right?", "session_id": 6219, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "Yea", "session_id": 6219, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "So you see how <M and <C are equal and <N and <B are equal?", "session_id": 6219, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 6219, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "We can say that NC/AB=CM/AC", "session_id": 6219, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "Hello", "session_id": 7721, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "hello", "session_id": 7721, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "Um, can you help me with a question?", "session_id": 7721, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "OK, what is your question?", "session_id": 7721, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "It's question 26.", "session_id": 7721, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "Oh God, this is a thing.", "session_id": 7721, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "Oh God", "session_id": 7721, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "it.", "session_id": 7721, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "It's what", "session_id": 7721, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "How many ounces are there in a pound?", "session_id": 7721, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "16", "session_id": 7721, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "Oh", "session_id": 7721, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "Oh, my boy.", "session_id": 7721, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "That", "session_id": 7721, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "I did not mean to say that", "session_id": 7721, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "So we set up a ratio of lbs to ounces", "session_id": 7721, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "we want the lbs to cancel out, so we put lbs in the denominator", "session_id": 7721, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "Do you see how I set that up?", "session_id": 7721, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 7721, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "point", "session_id": 7721, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 7721, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "I'm not saying this.", "session_id": 7721, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "Um, hello", "session_id": 7721, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "Are you all set with this?", "session_id": 7721, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 7721, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 7721, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "You just need to multiply 8.3 times 16", "session_id": 7721, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "OK", "session_id": 7721, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "uh", "session_id": 7721, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "I got 32.8", "session_id": 7721, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "132.8", "session_id": 7721, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "I", "session_id": 7721, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "I", "session_id": 7721, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "Yes,  132.8", "session_id": 7721, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "Is that just it", "session_id": 7721, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "are you all set now/", "session_id": 7721, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "Yes, thank you.", "session_id": 7721, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "Mm", "session_id": 7721, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "You are welcome.", "session_id": 7721, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 7721, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "Have a good week.", "session_id": 7721, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "bye", "session_id": 7721, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "My, have a nice day.", "session_id": 7721, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "Hello", "session_id": 12466, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "hi", "session_id": 12466, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "ill upload the question one sec pls", "session_id": 12466, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "sure", "session_id": 12466, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "im struggling on 51 and 55", "session_id": 12466, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "will i do it completely or should i do the whole step", "session_id": 12466, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "can u do it step by step if possible", "session_id": 12466, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "how did u get the 2x times 3 square root of x", "session_id": 12466, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "just multiply the constants and leave x as it is", "session_id": 12466, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "ohhhh gotcha", "session_id": 12466, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "get it", "session_id": 12466, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "yess it makes sense now, just writing it down thank u", "session_id": 12466, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "any more doubt?", "session_id": 12466, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "nope that was all", "session_id": 12466, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "thank u!!", "session_id": 12466, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "want to try something on your free time?", "session_id": 12466, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "maybe next time im kinds rushed to finish my assignment", "session_id": 12466, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "Hello!", "session_id": 12635, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "Hello", "session_id": 12635, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "i\u2019m having some trouble with some homework could you help me out?", "session_id": 12635, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "Yes :)", "session_id": 12635, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "i\u2019m working on solving system of equations by graphing and substituting", "session_id": 12635, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "okay", "session_id": 12635, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "the first problem is asking me to solve by graphing and it\u2019s -x+3y=6", "session_id": 12635, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "my bad the other one is 2x-y=8", "session_id": 12635, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "so those two equations are for the same problem", "session_id": 12635, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "When graphing the equations, you want to put each equation into slope intercept form", "session_id": 12635, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "Because graphing calculators have y = ...", "session_id": 12635, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "Do you know how to do that", "session_id": 12635, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "i don\u2019t", "session_id": 12635, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "i also don\u2019t have a graphing calculator i have a graph on paper", "session_id": 12635, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "oh okay", "session_id": 12635, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "Do you understand how I got each equation?", "session_id": 12635, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "on the second one how did you get the y on the other side of the equal sign", "session_id": 12635, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "I just flipped it around", "session_id": 12635, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "oh okay", "session_id": 12635, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "Let", "session_id": 12635, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "Let's graph the y = 2x + 8 first", "session_id": 12635, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "okay", "session_id": 12635, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "The 8 is the y-intercept, or what y equals when x = 0", "session_id": 12635, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "gotcha", "session_id": 12635, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "The slope, 2, says how steep the line is (2 up for every 1 right)", "session_id": 12635, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "right", "session_id": 12635, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "The solution of a system of equations is where the two lines intersect", "session_id": 12635, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "Oh no", "session_id": 12635, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "I messed up the second equation", "session_id": 12635, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "its 2x - 8 = y", "session_id": 12635, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "Sorry", "session_id": 12635, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "it\u2019s okay i\u2019m still kinda confused though", "session_id": 12635, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "With what", "session_id": 12635, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "how do i graph the first equations also in class we worked with a partner to solve problems an the answer to this one is (6,4) and i\u2019m not how sure how we get to there", "session_id": 12635, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "There's two ways to solve it, like you said", "session_id": 12635, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "by graphing it and seeing where the two lines intercept", "session_id": 12635, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "or by substituting and solving for x and y", "session_id": 12635, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "Let's try substituting", "session_id": 12635, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "ohh okay", "session_id": 12635, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "Because both equations are equal to y, we can set them equal to each other", "session_id": 12635, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "If you're substituting you don't have to use slope-intercept form", "session_id": 12635, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "i\u2019m still kind of lost", "session_id": 12635, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "let me send my hw sheet i think that would be easier", "session_id": 12635, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "Ok :)", "session_id": 12635, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "Do you still want to work on question 3?", "session_id": 12635, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "i do", "session_id": 12635, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "By graphing or by substitution?", "session_id": 12635, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "let\u2019s do graphing because that group of questions ask for it", "session_id": 12635, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "When graphing, you want equations to be in this form:\n\ny = mx + b", "session_id": 12635, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "right", "session_id": 12635, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "because m tells you how steep the line is and b tells you where to start", "session_id": 12635, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "Do you understand how I turned each equation into this form", "session_id": 12635, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "i do with the first equation but not the second one", "session_id": 12635, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "I first added y to both sides then subtracted 8", "session_id": 12635, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "2x - 8 = y is the same as y = 2x - 8", "session_id": 12635, "sequence_id": 54, "annotations": []}
{"role": "student", "content": "gotcha gotcha", "session_id": 12635, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "Now, you graph each lines", "session_id": 12635, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "The point where they meet is the answer because that makes each equation correct", "session_id": 12635, "sequence_id": 57, "annotations": []}
{"role": "student", "content": "how would i graph the first equation", "session_id": 12635, "sequence_id": 58, "annotations": []}
{"role": "student", "content": "i see i see", "session_id": 12635, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "You first start at 2", "session_id": 12635, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "when x = 0, the equation becomes y = 0 + 2 = 2", "session_id": 12635, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "The steepness of the line is determined by the slope, 1/3", "session_id": 12635, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "Have you heard of rise over run?", "session_id": 12635, "sequence_id": 63, "annotations": []}
{"role": "student", "content": "yes i have", "session_id": 12635, "sequence_id": 64, "annotations": []}
{"role": "student", "content": "so you would go up 1 and to the right 3?", "session_id": 12635, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "Correct!", "session_id": 12635, "sequence_id": 66, "annotations": []}
{"role": "student", "content": "and we start from 2 at the y-intercept?", "session_id": 12635, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "Yep", "session_id": 12635, "sequence_id": 68, "annotations": []}
{"role": "student", "content": "okay i got it", "session_id": 12635, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "The second equation is the same wa", "session_id": 12635, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "way", "session_id": 12635, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "it starts at -8", "session_id": 12635, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "and goes up 2, and left 1", "session_id": 12635, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "right", "session_id": 12635, "sequence_id": 74, "annotations": []}
{"role": "student", "content": "yes i\u2019ve gotten that graphed", "session_id": 12635, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "Nice", "session_id": 12635, "sequence_id": 76, "annotations": []}
{"role": "student", "content": "so it would look like this", "session_id": 12635, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 12635, "sequence_id": 78, "annotations": []}
{"role": "student", "content": "i\u2019m using each point by counting by 2s btw", "session_id": 12635, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 12635, "sequence_id": 80, "annotations": []}
{"role": "volunteer", "content": "If you're going by 2's, the bottom line would go 1/2 a square right and 1 square up", "session_id": 12635, "sequence_id": 81, "annotations": []}
{"role": "student", "content": "right", "session_id": 12635, "sequence_id": 82, "annotations": []}
{"role": "volunteer", "content": "The top square would go 1.5 squares right and 1/2 square up", "session_id": 12635, "sequence_id": 83, "annotations": []}
{"role": "student", "content": "what do you mean?", "session_id": 12635, "sequence_id": 84, "annotations": []}
{"role": "volunteer", "content": "*top line", "session_id": 12635, "sequence_id": 85, "annotations": []}
{"role": "volunteer", "content": "sorry", "session_id": 12635, "sequence_id": 86, "annotations": []}
{"role": "student", "content": "so like this?", "session_id": 12635, "sequence_id": 87, "annotations": []}
{"role": "volunteer", "content": "Yes, for the top line", "session_id": 12635, "sequence_id": 88, "annotations": []}
{"role": "volunteer", "content": "Because you didn't make a scale, it should look the same as if the squares were by 1", "session_id": 12635, "sequence_id": 89, "annotations": []}
{"role": "student", "content": "sorry could you show me?", "session_id": 12635, "sequence_id": 90, "annotations": []}
{"role": "student", "content": "ohh i see what i did wrong", "session_id": 12635, "sequence_id": 91, "annotations": []}
{"role": "volunteer", "content": "looks good!", "session_id": 12635, "sequence_id": 92, "annotations": []}
{"role": "student", "content": "so it would look like that", "session_id": 12635, "sequence_id": 93, "annotations": []}
{"role": "student", "content": "okay great!", "session_id": 12635, "sequence_id": 94, "annotations": []}
{"role": "volunteer", "content": "be sure to label the point where they intercept", "session_id": 12635, "sequence_id": 95, "annotations": []}
{"role": "student", "content": "right", "session_id": 12635, "sequence_id": 96, "annotations": []}
{"role": "student", "content": "okay we can move on to 5", "session_id": 12635, "sequence_id": 97, "annotations": []}
{"role": "volunteer", "content": "5 uses substitution", "session_id": 12635, "sequence_id": 98, "annotations": []}
{"role": "student", "content": "yes", "session_id": 12635, "sequence_id": 99, "annotations": []}
{"role": "volunteer", "content": "It's an easier question because it directly tells you what y is equal to", "session_id": 12635, "sequence_id": 100, "annotations": []}
{"role": "student", "content": "and if we could could we just ignore the answer that\u2019s just to check my work", "session_id": 12635, "sequence_id": 101, "annotations": []}
{"role": "volunteer", "content": "We can plug in, substitute, y into the first equation", "session_id": 12635, "sequence_id": 102, "annotations": []}
{"role": "student", "content": "so solving with only the equations", "session_id": 12635, "sequence_id": 103, "annotations": []}
{"role": "student", "content": "oh okay", "session_id": 12635, "sequence_id": 104, "annotations": []}
{"role": "volunteer", "content": "Now we can solve for x", "session_id": 12635, "sequence_id": 105, "annotations": []}
{"role": "student", "content": "okay i got it now", "session_id": 12635, "sequence_id": 106, "annotations": []}
{"role": "volunteer", "content": "Great!", "session_id": 12635, "sequence_id": 107, "annotations": []}
{"role": "student", "content": "i should be able to finish the paper by myself now", "session_id": 12635, "sequence_id": 108, "annotations": []}
{"role": "volunteer", "content": "Nice", "session_id": 12635, "sequence_id": 109, "annotations": []}
{"role": "student", "content": "okay thanks a ton!", "session_id": 12635, "sequence_id": 110, "annotations": []}
{"role": "volunteer", "content": "No problem :)", "session_id": 12635, "sequence_id": 111, "annotations": []}
{"role": "volunteer", "content": "Hi there!", "session_id": 12654, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "Hi Alex.", "session_id": 12654, "sequence_id": 1, "annotations": [{"pii_type": "PERSON", "surrogate": "Alex", "start": 3, "end": 7}]}
{"role": "volunteer", "content": "Hey Alex!  I\u2019m here to help with 8th grade math\u2014are we working on homework, studying for a test, or just reviewing? Let me know what topic you\u2019re on", "session_id": 12654, "sequence_id": 2, "annotations": [{"pii_type": "PERSON", "surrogate": "Alex", "start": 4, "end": 8}, {"pii_type": "GRADE_LEVEL", "surrogate": "8th grade", "start": 33, "end": 42}]}
{"role": "student", "content": "I'm working on homework. I think I know what to do with the problem. I just need to double check", "session_id": 12654, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "sure", "session_id": 12654, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "The problem is: Each bus can hold 48 students. 570 students are going on  the trip, how many buses are needed?", "session_id": 12654, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "Thanks for sharing the problem! Do you want to walk through it together, or do you already have an answer you\u2019d like to double-check?", "session_id": 12654, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "We can walk through it together", "session_id": 12654, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "Sure!", "session_id": 12654, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "Is it fine if I turn on my microphone", "session_id": 12654, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "yes", "session_id": 12654, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "High winter, this is David. Can you let me know if you can hear me?", "session_id": 12654, "sequence_id": 11, "annotations": [{"pii_type": "PERSON", "surrogate": "David", "start": 21, "end": 26}]}
{"role": "student", "content": "I can hear you", "session_id": 12654, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "OK. So the question is asking each bus can hold 48 students 570 students are going on the trip. How many buses are needed. So what um what um", "session_id": 12654, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "type of math do you think we should do, um,", "session_id": 12654, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "let me rephrase that. Do you think we should do addition, subtraction, multiplication, or division to help us find the answer.", "session_id": 12654, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "Division", "session_id": 12654, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "Yeah, that's correct. So we're gonna go ahead and divide", "session_id": 12654, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "48, 1 sec, let me draw. 48", "session_id": 12654, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "570 because there 570 students, and each of us can only hold 48.", "session_id": 12654, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "So in this situation, we're gonna go ahead and", "session_id": 12654, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "we're gonna go ahead and um solve this. So how many times can 48 go into 57?", "session_id": 12654, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "1", "session_id": 12654, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "What, yeah, that's right. So we can put a one here and then 48 times 1 would be 48. So we're gonna get, go ahead and put that here.", "session_id": 12654, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "and just subtract that.", "session_id": 12654, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "And then 57 minus 48 would be what?", "session_id": 12654, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "11", "session_id": 12654, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "11. I see the way you're thinking there, but, but you're so close. You should retry that one, but you're doing really good so far.", "session_id": 12654, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "9", "session_id": 12654, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "Yep, that's correct. So I'm gonna put a 9 here and then we're gonna drop down to 0. Also, while I'm doing this, if you have any questions, just feel free to ask me. Don't be afraid.", "session_id": 12654, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "OK, and how many times can", "session_id": 12654, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "48 go into 90", "session_id": 12654, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "1", "session_id": 12654, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "One time, right? So we're gonna go ahead and put a one here and then 48 times 1 would be 48 again. And what is 90 minus 48.", "session_id": 12654, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "42", "session_id": 12654, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "Yup, that's correct. 42. So we're gonna go ahead and put a 42 here. Now over here we have 48 into 42. Now that's not gonna work out and we're gonna need extra, extra decimal spaces. Do you know how to add decimals in here?", "session_id": 12654, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "Yes. Add one at the top", "session_id": 12654, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "Yup. So we're gonna go ahead and add here. and then send 50s, 570 is basically the same thing students.", "session_id": 12654, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "you know, cause 570 students, that's not adding anything. So we're gonna go ahead and drop this back down.", "session_id": 12654, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "Put the 0 here, and how many times can 4 uh 48 going 420.", "session_id": 12654, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "2", "session_id": 12654, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "OK. So 40 420. It's, I see you're, you're on the right track, but it's not exactly um too cause see we're in the hundreds place. 420 divided by 48.", "session_id": 12654, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "8", "session_id": 12654, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "8 So I'm just gonna give you that, that would be 8, but the question is, is asking, um, how many", "session_id": 12654, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "sorry, I'm gonna pull it up", "session_id": 12654, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "buses, are you gonna", "session_id": 12654, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "got 11.8, but you can't have 11.8 buses. You can't have 4/5 of a bus, can you?", "session_id": 12654, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "no", "session_id": 12654, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "So what do you think we should buses are we gonna need?", "session_id": 12654, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "12", "session_id": 12654, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "12, exactly, cause we're rounding up the answer for the problem would be 12 buses. Does that make sense?", "session_id": 12654, "sequence_id": 50, "annotations": []}
{"role": "student", "content": "yes", "session_id": 12654, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "OK, cool.", "session_id": 12654, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "Do you wanna go over some more problems maybe that", "session_id": 12654, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "your homework or good.", "session_id": 12654, "sequence_id": 54, "annotations": []}
{"role": "student", "content": "no that was the last one", "session_id": 12654, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "No, that's all. OK. Perfect. If you have any questions, like if you don't understand anything, just feel free to ask me. I'm not scary, I promise.", "session_id": 12654, "sequence_id": 56, "annotations": []}
{"role": "student", "content": "thank you.", "session_id": 12654, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "You're welcome", "session_id": 12654, "sequence_id": 58, "annotations": []}
{"role": "student", "content": "goodbye", "session_id": 12654, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "Bye!", "session_id": 12654, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "Hi Sarah, what's up", "session_id": 12709, "sequence_id": 0, "annotations": [{"pii_type": "PERSON", "surrogate": "Sarah", "start": 3, "end": 8}]}
{"role": "student", "content": "Hi I am new here and just practicing this platform", "session_id": 12709, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "Oh, OK. Is there any questions about the platform that I can answer?", "session_id": 12709, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 12709, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "I'm tutoring, so.", "session_id": 12709, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 12709, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "pick up. OK. Do you want to just do, uh", "session_id": 12709, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "chili? Yeah, yeah, that would be", "session_id": 12709, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "a good thing. OK, see you when we get back.", "session_id": 12709, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "oops was talking with my wife...", "session_id": 12709, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "any questions I can help you with?", "session_id": 12709, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "oh ok sorry goodbye how do I end session and thank you for your time", "session_id": 12709, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "up top, says End Session", "session_id": 12709, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "I will do on my end", "session_id": 12709, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "thank you", "session_id": 12709, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "What is the best way to order rational numbers.", "session_id": 12732, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "Okay, to start what do u already know about rational numbers?", "session_id": 12732, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "they contain fractions, decimals and integers", "session_id": 12732, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "Yes!", "session_id": 12732, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "The best way is to look at the number with the most value first, and work you\u2019re way down from there", "session_id": 12732, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "Like 7.79 and 6.79", "session_id": 12732, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "ok", "session_id": 12732, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "We know that 7 is greater than 6, so that comes first", "session_id": 12732, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "We can do that with the tenths place too", "session_id": 12732, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "Try ordering 5.4", "session_id": 12732, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "5.2", "session_id": 12732, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "And 5.7!", "session_id": 12732, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "Are they 5.7,5.4 and 5.2 if I order them from greatest to least.", "session_id": 12732, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "Yessss!!", "session_id": 12732, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "Do u wanna try adding in the hundredths place too?", "session_id": 12732, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "No I think I got it!", "session_id": 12732, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "Okay greatttt", "session_id": 12732, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "Anything else or ru good to go?", "session_id": 12732, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "I am good", "session_id": 12732, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "Okay great", "session_id": 12732, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "Have a nice day!!", "session_id": 12732, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "hello again! I forgot a question!", "session_id": 12847, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "OK.", "session_id": 12847, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "Can, can you see it?", "session_id": 12847, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 12847, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "mostly", "session_id": 12847, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "I see", "session_id": 12847, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "OK, cool", "session_id": 12847, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "So, um", "session_id": 12847, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "you want to know", "session_id": 12847, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "Uh, I", "session_id": 12847, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "I tried doing it, but I got all of the like dobe vertical to holes and all that. I got it wrong except I did get that there were no holes, but", "session_id": 12847, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "other than that, I think.", "session_id": 12847, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "Oh, I see", "session_id": 12847, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "it all wrong", "session_id": 12847, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "Mhm", "session_id": 12847, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "The white is what is the wrong answers scribbled out.", "session_id": 12847, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 12847, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "So, um", "session_id": 12847, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "give me a second, OK", "session_id": 12847, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "So the domain", "session_id": 12847, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "what, what's, what's your answer for domain?", "session_id": 12847, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "I put", "session_id": 12847, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "uh", "session_id": 12847, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "all real numbers, which is wrong.", "session_id": 12847, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "For units, OK. So, um", "session_id": 12847, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "so for the, uh, the nominator cannot be zero, right?", "session_id": 12847, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 12847, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "So to", "session_id": 12847, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "times x^2 minus 25 cannot be zero.", "session_id": 12847, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "So do I set it equal to 0 and see where it comes out.", "session_id": 12847, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "Mhm yeah", "session_id": 12847, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "OK", "session_id": 12847, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "Mm", "session_id": 12847, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "is it", "session_id": 12847, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "uh", "session_id": 12847, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 12847, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "These are the X values that I got.", "session_id": 12847, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "one second", "session_id": 12847, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "Where um", "session_id": 12847, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "where is these two come from?", "session_id": 12847, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "Oh, wait, wait. Oh, yeah, yeah, yeah, they're right.", "session_id": 12847, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "Yes, so, because the domain just the X value, so just 5 and 5.", "session_id": 12847, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "So X cannot be", "session_id": 12847, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "file a negative", "session_id": 12847, "sequence_id": 43, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 12847, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "Mhm", "session_id": 12847, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "And the, the", "session_id": 12847, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "the vertical", "session_id": 12847, "sequence_id": 47, "annotations": []}
{"role": "student", "content": "asy has to be awarded those, so", "session_id": 12847, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "would it be", "session_id": 12847, "sequence_id": 49, "annotations": []}
{"role": "student", "content": "-5", "session_id": 12847, "sequence_id": 50, "annotations": []}
{"role": "student", "content": "because that is what gets 0.", "session_id": 12847, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "Uh, let's see.", "session_id": 12847, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "So the value is 5, yeah, mhm.", "session_id": 12847, "sequence_id": 53, "annotations": []}
{"role": "student", "content": "OK", "session_id": 12847, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "5 and", "session_id": 12847, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "and 5, yeah", "session_id": 12847, "sequence_id": 56, "annotations": []}
{"role": "student", "content": "0, 5802?", "session_id": 12847, "sequence_id": 57, "annotations": []}
{"role": "student", "content": "Oh, OK, OK", "session_id": 12847, "sequence_id": 58, "annotations": []}
{"role": "student", "content": "And then", "session_id": 12847, "sequence_id": 59, "annotations": []}
{"role": "student", "content": "I", "session_id": 12847, "sequence_id": 60, "annotations": []}
{"role": "student", "content": "I couldn't get it uh", "session_id": 12847, "sequence_id": 61, "annotations": []}
{"role": "student", "content": "reduced. So how do I find the X and Y.", "session_id": 12847, "sequence_id": 62, "annotations": []}
{"role": "student", "content": "I couldn't figured out what to reduce.", "session_id": 12847, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "I mean intercept inter intersect.", "session_id": 12847, "sequence_id": 64, "annotations": []}
{"role": "student", "content": "Yeah, yeah, yeah. Intercept", "session_id": 12847, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "OK, so in order to find the X intercept, you need to let Y equals 0.", "session_id": 12847, "sequence_id": 66, "annotations": []}
{"role": "student", "content": "Do I do that", "session_id": 12847, "sequence_id": 67, "annotations": []}
{"role": "student", "content": "after I try to, don't I have to do that after I make a reduced form though?", "session_id": 12847, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "Um", "session_id": 12847, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "like what, what, what, what do you mean like?", "session_id": 12847, "sequence_id": 70, "annotations": []}
{"role": "student", "content": "Like, uh, I thought the only way you could", "session_id": 12847, "sequence_id": 71, "annotations": []}
{"role": "student", "content": "find it is you can't use the original, you have to use.", "session_id": 12847, "sequence_id": 72, "annotations": []}
{"role": "student", "content": "like.", "session_id": 12847, "sequence_id": 73, "annotations": []}
{"role": "student", "content": "F reduced form of", "session_id": 12847, "sequence_id": 74, "annotations": []}
{"role": "student", "content": "X.", "session_id": 12847, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "Um, I don't", "session_id": 12847, "sequence_id": 76, "annotations": []}
{"role": "student", "content": "Oh, but, uh, yeah.", "session_id": 12847, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "I, I think there's too complicated.", "session_id": 12847, "sequence_id": 78, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 12847, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "So, because you just need to remember if you need to find X intercept, you just let Y equals 0.", "session_id": 12847, "sequence_id": 80, "annotations": []}
{"role": "student", "content": "OK", "session_id": 12847, "sequence_id": 81, "annotations": []}
{"role": "volunteer", "content": "So that will be like", "session_id": 12847, "sequence_id": 82, "annotations": []}
{"role": "student", "content": "And use the numerator", "session_id": 12847, "sequence_id": 83, "annotations": []}
{"role": "volunteer", "content": "Mhm", "session_id": 12847, "sequence_id": 84, "annotations": []}
{"role": "volunteer", "content": "yeah, yeah", "session_id": 12847, "sequence_id": 85, "annotations": []}
{"role": "volunteer", "content": "the numerator, yeah", "session_id": 12847, "sequence_id": 86, "annotations": []}
{"role": "volunteer", "content": "And why interceptors let x equals 0 and see what you get.", "session_id": 12847, "sequence_id": 87, "annotations": []}
{"role": "student", "content": "Uh, I get a", "session_id": 12847, "sequence_id": 88, "annotations": []}
{"role": "student", "content": "negative undersquare root.", "session_id": 12847, "sequence_id": 89, "annotations": []}
{"role": "volunteer", "content": "negatives", "session_id": 12847, "sequence_id": 90, "annotations": []}
{"role": "volunteer", "content": "5.", "session_id": 12847, "sequence_id": 91, "annotations": []}
{"role": "student", "content": "Oh, wait, wait, over what?", "session_id": 12847, "sequence_id": 92, "annotations": []}
{"role": "volunteer", "content": "Mhm", "session_id": 12847, "sequence_id": 93, "annotations": []}
{"role": "student", "content": "Uh, would it be", "session_id": 12847, "sequence_id": 94, "annotations": []}
{"role": "student", "content": "uh positive to it a negative too.", "session_id": 12847, "sequence_id": 95, "annotations": []}
{"role": "volunteer", "content": "Yes, for um", "session_id": 12847, "sequence_id": 96, "annotations": []}
{"role": "volunteer", "content": "as intercept, yeah", "session_id": 12847, "sequence_id": 97, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 12847, "sequence_id": 98, "annotations": []}
{"role": "student", "content": "And why I make them 0?", "session_id": 12847, "sequence_id": 99, "annotations": []}
{"role": "volunteer", "content": "00 wait, wait, wait, wait, wait, wait.", "session_id": 12847, "sequence_id": 100, "annotations": []}
{"role": "volunteer", "content": "You, you get um", "session_id": 12847, "sequence_id": 101, "annotations": []}
{"role": "volunteer", "content": "work for X intercept.", "session_id": 12847, "sequence_id": 102, "annotations": []}
{"role": "student", "content": "Ex I get you I'll write it.", "session_id": 12847, "sequence_id": 103, "annotations": []}
{"role": "student", "content": "Where should I", "session_id": 12847, "sequence_id": 104, "annotations": []}
{"role": "student", "content": "Uh", "session_id": 12847, "sequence_id": 105, "annotations": []}
{"role": "student", "content": "that's what I, can you see it?", "session_id": 12847, "sequence_id": 106, "annotations": []}
{"role": "volunteer", "content": "Oh, I see. So,", "session_id": 12847, "sequence_id": 107, "annotations": []}
{"role": "volunteer", "content": "but let's try. You, you, you try x^2 + 4 is 0, right?", "session_id": 12847, "sequence_id": 108, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 12847, "sequence_id": 109, "annotations": []}
{"role": "volunteer", "content": "Is this possible?", "session_id": 12847, "sequence_id": 110, "annotations": []}
{"role": "student", "content": "Uh", "session_id": 12847, "sequence_id": 111, "annotations": []}
{"role": "student", "content": "well, the first time I did, I got.", "session_id": 12847, "sequence_id": 112, "annotations": []}
{"role": "volunteer", "content": "Mhm mhm", "session_id": 12847, "sequence_id": 113, "annotations": []}
{"role": "student", "content": "which that's", "session_id": 12847, "sequence_id": 114, "annotations": []}
{"role": "student", "content": "doesn't, that can't", "session_id": 12847, "sequence_id": 115, "annotations": []}
{"role": "volunteer", "content": "Yeah, so it just", "session_id": 12847, "sequence_id": 116, "annotations": []}
{"role": "volunteer", "content": "non-solut", "session_id": 12847, "sequence_id": 117, "annotations": []}
{"role": "student", "content": "So there is no exitrocept?", "session_id": 12847, "sequence_id": 118, "annotations": []}
{"role": "volunteer", "content": "Yes", "session_id": 12847, "sequence_id": 119, "annotations": []}
{"role": "volunteer", "content": "because, uh, a route number cannot be uh 0.", "session_id": 12847, "sequence_id": 120, "annotations": []}
{"role": "volunteer", "content": "But sorry, cannot be negative.", "session_id": 12847, "sequence_id": 121, "annotations": []}
{"role": "student", "content": "But there is a why, intercept, right?", "session_id": 12847, "sequence_id": 122, "annotations": []}
{"role": "student", "content": "OK, OK.", "session_id": 12847, "sequence_id": 123, "annotations": []}
{"role": "volunteer", "content": "Mhm, mhm. If you put extra 0 and you can find what's the uh one.", "session_id": 12847, "sequence_id": 124, "annotations": []}
{"role": "student", "content": "That's good. So for", "session_id": 12847, "sequence_id": 125, "annotations": []}
{"role": "student", "content": "4/50.", "session_id": 12847, "sequence_id": 126, "annotations": []}
{"role": "volunteer", "content": "4/15", "session_id": 12847, "sequence_id": 127, "annotations": []}
{"role": "volunteer", "content": "Uh, let's see, for", "session_id": 12847, "sequence_id": 128, "annotations": []}
{"role": "student", "content": "All right", "session_id": 12847, "sequence_id": 129, "annotations": []}
{"role": "student", "content": "this", "session_id": 12847, "sequence_id": 130, "annotations": []}
{"role": "volunteer", "content": "Oh, you, yeah, so you forget that.", "session_id": 12847, "sequence_id": 131, "annotations": []}
{"role": "volunteer", "content": "yeah, you can, uh, divide by two of both. Oh, and negative, you forgot the negative.", "session_id": 12847, "sequence_id": 132, "annotations": []}
{"role": "student", "content": "00.", "session_id": 12847, "sequence_id": 133, "annotations": []}
{"role": "volunteer", "content": "because it's 0 minus 25.", "session_id": 12847, "sequence_id": 134, "annotations": []}
{"role": "volunteer", "content": "Yes", "session_id": 12847, "sequence_id": 135, "annotations": []}
{"role": "volunteer", "content": "Mhm. So 2/25, correct.", "session_id": 12847, "sequence_id": 136, "annotations": []}
{"role": "volunteer", "content": "Mhm. That is the", "session_id": 12847, "sequence_id": 137, "annotations": []}
{"role": "volunteer", "content": "the correct answer", "session_id": 12847, "sequence_id": 138, "annotations": []}
{"role": "student", "content": "Mhm", "session_id": 12847, "sequence_id": 139, "annotations": []}
{"role": "student", "content": "And then", "session_id": 12847, "sequence_id": 140, "annotations": []}
{"role": "volunteer", "content": "Mhm", "session_id": 12847, "sequence_id": 141, "annotations": []}
{"role": "student", "content": "I tried to get the horizontal asceto, but I think it's wrong.", "session_id": 12847, "sequence_id": 142, "annotations": []}
{"role": "student", "content": "I got", "session_id": 12847, "sequence_id": 143, "annotations": []}
{"role": "student", "content": "one half", "session_id": 12847, "sequence_id": 144, "annotations": []}
{"role": "volunteer", "content": "One half.", "session_id": 12847, "sequence_id": 145, "annotations": []}
{"role": "student", "content": "I don't think that's right.", "session_id": 12847, "sequence_id": 146, "annotations": []}
{"role": "volunteer", "content": "One half uh.", "session_id": 12847, "sequence_id": 147, "annotations": []}
{"role": "student", "content": "Yeah.", "session_id": 12847, "sequence_id": 148, "annotations": []}
{"role": "volunteer", "content": "that would", "session_id": 12847, "sequence_id": 149, "annotations": []}
{"role": "volunteer", "content": "I think it's correct", "session_id": 12847, "sequence_id": 150, "annotations": []}
{"role": "student", "content": "You do", "session_id": 12847, "sequence_id": 151, "annotations": []}
{"role": "volunteer", "content": "Mhm", "session_id": 12847, "sequence_id": 152, "annotations": []}
{"role": "student", "content": "Oh.", "session_id": 12847, "sequence_id": 153, "annotations": []}
{"role": "volunteer", "content": "15, right? Uh.", "session_id": 12847, "sequence_id": 154, "annotations": []}
{"role": "student", "content": "Because isn't it the coefficient of the.", "session_id": 12847, "sequence_id": 155, "annotations": []}
{"role": "student", "content": "uh the like the highest powers, it's the coefficient.", "session_id": 12847, "sequence_id": 156, "annotations": []}
{"role": "student", "content": "ratio of the coefficients", "session_id": 12847, "sequence_id": 157, "annotations": []}
{"role": "volunteer", "content": "Mhm", "session_id": 12847, "sequence_id": 158, "annotations": []}
{"role": "volunteer", "content": "OK, so, uh", "session_id": 12847, "sequence_id": 159, "annotations": []}
{"role": "volunteer", "content": "yeah, yeah, 1/2 is correct.", "session_id": 12847, "sequence_id": 160, "annotations": []}
{"role": "student", "content": "OK", "session_id": 12847, "sequence_id": 161, "annotations": []}
{"role": "student", "content": "And then I don't know what to do for symmetry. I don't know what that.", "session_id": 12847, "sequence_id": 162, "annotations": []}
{"role": "student", "content": "I don't.", "session_id": 12847, "sequence_id": 163, "annotations": []}
{"role": "student", "content": "I've forgot that", "session_id": 12847, "sequence_id": 164, "annotations": []}
{"role": "volunteer", "content": "Oh, so symmetry just check this one. let me write it down.", "session_id": 12847, "sequence_id": 165, "annotations": []}
{"role": "volunteer", "content": "Uh, this will become um", "session_id": 12847, "sequence_id": 166, "annotations": []}
{"role": "volunteer", "content": "this will become a", "session_id": 12847, "sequence_id": 167, "annotations": []}
{"role": "volunteer", "content": "so that's what you need to check.", "session_id": 12847, "sequence_id": 168, "annotations": []}
{"role": "student", "content": "Oh", "session_id": 12847, "sequence_id": 169, "annotations": []}
{"role": "student", "content": "Uh.", "session_id": 12847, "sequence_id": 170, "annotations": []}
{"role": "student", "content": "it's even, right", "session_id": 12847, "sequence_id": 171, "annotations": []}
{"role": "volunteer", "content": "is even I, I didn't try it yet.", "session_id": 12847, "sequence_id": 172, "annotations": []}
{"role": "student", "content": "Sorry", "session_id": 12847, "sequence_id": 173, "annotations": []}
{"role": "volunteer", "content": "Yeah, it should be even.", "session_id": 12847, "sequence_id": 174, "annotations": []}
{"role": "student", "content": "So that's why I would write just even.", "session_id": 12847, "sequence_id": 175, "annotations": []}
{"role": "volunteer", "content": "Mhm, yeah, just even, because if you put negatives to FX that will be the uh the output will be same, so yeah.", "session_id": 12847, "sequence_id": 176, "annotations": []}
{"role": "student", "content": "And uh", "session_id": 12847, "sequence_id": 177, "annotations": []}
{"role": "student", "content": "do you see how I drew my", "session_id": 12847, "sequence_id": 178, "annotations": []}
{"role": "volunteer", "content": "Mhm.", "session_id": 12847, "sequence_id": 179, "annotations": []}
{"role": "student", "content": "he said it was awful point for that. How, what did I, what did I do wrong?", "session_id": 12847, "sequence_id": 180, "annotations": []}
{"role": "student", "content": "right", "session_id": 12847, "sequence_id": 181, "annotations": []}
{"role": "volunteer", "content": "So you find the X intercept and right intercept, right?", "session_id": 12847, "sequence_id": 182, "annotations": []}
{"role": "volunteer", "content": "And that is the true point you have to put in there.", "session_id": 12847, "sequence_id": 183, "annotations": []}
{"role": "volunteer", "content": "That's the first step", "session_id": 12847, "sequence_id": 184, "annotations": []}
{"role": "student", "content": "Mm, but since there are no excepts, can't it not cross the", "session_id": 12847, "sequence_id": 185, "annotations": []}
{"role": "student", "content": "X-axis", "session_id": 12847, "sequence_id": 186, "annotations": []}
{"role": "volunteer", "content": "Mhm, yes", "session_id": 12847, "sequence_id": 187, "annotations": []}
{"role": "student", "content": "So", "session_id": 12847, "sequence_id": 188, "annotations": []}
{"role": "student", "content": "would I look here I", "session_id": 12847, "sequence_id": 189, "annotations": []}
{"role": "student", "content": "or like", "session_id": 12847, "sequence_id": 190, "annotations": []}
{"role": "student", "content": "uh", "session_id": 12847, "sequence_id": 191, "annotations": []}
{"role": "volunteer", "content": "Why the sound like I just, you put it right here.", "session_id": 12847, "sequence_id": 192, "annotations": []}
{"role": "student", "content": "what", "session_id": 12847, "sequence_id": 193, "annotations": []}
{"role": "volunteer", "content": "Oh no, never mind", "session_id": 12847, "sequence_id": 194, "annotations": []}
{"role": "student", "content": "Like", "session_id": 12847, "sequence_id": 195, "annotations": []}
{"role": "student", "content": "uh", "session_id": 12847, "sequence_id": 196, "annotations": []}
{"role": "student", "content": "like this", "session_id": 12847, "sequence_id": 197, "annotations": []}
{"role": "volunteer", "content": "No.", "session_id": 12847, "sequence_id": 198, "annotations": []}
{"role": "volunteer", "content": "Mhm, yeah.", "session_id": 12847, "sequence_id": 199, "annotations": []}
{"role": "student", "content": "except", "session_id": 12847, "sequence_id": 200, "annotations": []}
{"role": "student", "content": "uh this is the", "session_id": 12847, "sequence_id": 201, "annotations": []}
{"role": "volunteer", "content": "The VA", "session_id": 12847, "sequence_id": 202, "annotations": []}
{"role": "student", "content": "that light", "session_id": 12847, "sequence_id": 203, "annotations": []}
{"role": "student", "content": "because those are a cro cause there's a Y intercept.", "session_id": 12847, "sequence_id": 204, "annotations": []}
{"role": "student", "content": "but", "session_id": 12847, "sequence_id": 205, "annotations": []}
{"role": "student", "content": "the Y intercept is negative.", "session_id": 12847, "sequence_id": 206, "annotations": []}
{"role": "volunteer", "content": "yeah, it's negative, so", "session_id": 12847, "sequence_id": 207, "annotations": []}
{"role": "student", "content": "How well then, would it cross the X-axis?", "session_id": 12847, "sequence_id": 208, "annotations": []}
{"role": "student", "content": "that", "session_id": 12847, "sequence_id": 209, "annotations": []}
{"role": "volunteer", "content": "hm, interesting.", "session_id": 12847, "sequence_id": 210, "annotations": []}
{"role": "volunteer", "content": "Let me think", "session_id": 12847, "sequence_id": 211, "annotations": []}
{"role": "volunteer", "content": "Give me a second", "session_id": 12847, "sequence_id": 212, "annotations": []}
{"role": "volunteer", "content": "That's weird", "session_id": 12847, "sequence_id": 213, "annotations": []}
{"role": "volunteer", "content": "Oh, I see.", "session_id": 12847, "sequence_id": 214, "annotations": []}
{"role": "volunteer", "content": "So, uh, there you go.", "session_id": 12847, "sequence_id": 215, "annotations": []}
{"role": "volunteer", "content": "Let me drop another graph for you.", "session_id": 12847, "sequence_id": 216, "annotations": []}
{"role": "volunteer", "content": "We know the uh the V, the asymptote is X equals 5 or -5, right?", "session_id": 12847, "sequence_id": 217, "annotations": []}
{"role": "student", "content": "Yes, 5 and 5.", "session_id": 12847, "sequence_id": 218, "annotations": []}
{"role": "volunteer", "content": "Mhm", "session_id": 12847, "sequence_id": 219, "annotations": []}
{"role": "volunteer", "content": "So", "session_id": 12847, "sequence_id": 220, "annotations": []}
{"role": "volunteer", "content": "when it become", "session_id": 12847, "sequence_id": 221, "annotations": []}
{"role": "volunteer", "content": "5, you can see uh", "session_id": 12847, "sequence_id": 222, "annotations": []}
{"role": "volunteer", "content": "uh the uh denominator when there will be uh a very, very small, right?", "session_id": 12847, "sequence_id": 223, "annotations": []}
{"role": "student", "content": "Uh", "session_id": 12847, "sequence_id": 224, "annotations": []}
{"role": "volunteer", "content": "because that's uh", "session_id": 12847, "sequence_id": 225, "annotations": []}
{"role": "volunteer", "content": "something like uh", "session_id": 12847, "sequence_id": 226, "annotations": []}
{"role": "volunteer", "content": "you can see when X equals 5, like uh approached by the denominator will be very, very small.", "session_id": 12847, "sequence_id": 227, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 12847, "sequence_id": 228, "annotations": []}
{"role": "volunteer", "content": "because here is approach to zero, right?", "session_id": 12847, "sequence_id": 229, "annotations": []}
{"role": "volunteer", "content": "x^2 minus 25 approach to zero. So the number will be very, very small.", "session_id": 12847, "sequence_id": 230, "annotations": []}
{"role": "student", "content": "OK", "session_id": 12847, "sequence_id": 231, "annotations": []}
{"role": "volunteer", "content": "So", "session_id": 12847, "sequence_id": 232, "annotations": []}
{"role": "volunteer", "content": "that will become uh infinity.", "session_id": 12847, "sequence_id": 233, "annotations": []}
{"role": "volunteer", "content": "state", "session_id": 12847, "sequence_id": 234, "annotations": []}
{"role": "student", "content": "Good", "session_id": 12847, "sequence_id": 235, "annotations": []}
{"role": "student", "content": "So", "session_id": 12847, "sequence_id": 236, "annotations": []}
{"role": "volunteer", "content": "So it will look like", "session_id": 12847, "sequence_id": 237, "annotations": []}
{"role": "volunteer", "content": "this.", "session_id": 12847, "sequence_id": 238, "annotations": []}
{"role": "student", "content": "And it does not cross the x-axis.", "session_id": 12847, "sequence_id": 239, "annotations": []}
{"role": "volunteer", "content": "Mhm, yeah, because uh we know there is not X intercept and when X becomes very, very large.", "session_id": 12847, "sequence_id": 240, "annotations": []}
{"role": "volunteer", "content": "This", "session_id": 12847, "sequence_id": 241, "annotations": []}
{"role": "volunteer", "content": "function will be very, very small, right?", "session_id": 12847, "sequence_id": 242, "annotations": []}
{"role": "volunteer", "content": "The output will be very, very small.", "session_id": 12847, "sequence_id": 243, "annotations": []}
{"role": "student", "content": "Uh, yes", "session_id": 12847, "sequence_id": 244, "annotations": []}
{"role": "volunteer", "content": "So it will like uh approach to", "session_id": 12847, "sequence_id": 245, "annotations": []}
{"role": "volunteer", "content": "zero at some point, but never", "session_id": 12847, "sequence_id": 246, "annotations": []}
{"role": "volunteer", "content": "become zero. So we'll be like something like this.", "session_id": 12847, "sequence_id": 247, "annotations": []}
{"role": "student", "content": "Uh, so there are 3 separate lines. There's one in the middle too, so I can get the why.", "session_id": 12847, "sequence_id": 248, "annotations": []}
{"role": "volunteer", "content": "And you know why in the service, like a negative.", "session_id": 12847, "sequence_id": 249, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 12847, "sequence_id": 250, "annotations": []}
{"role": "student", "content": "Yeah, yeah, that is it", "session_id": 12847, "sequence_id": 251, "annotations": []}
{"role": "volunteer", "content": "2/25, I forget, but yeah, yeah. And also we know", "session_id": 12847, "sequence_id": 252, "annotations": []}
{"role": "volunteer", "content": "uh this one is like uh event, so that is symmetric.", "session_id": 12847, "sequence_id": 253, "annotations": []}
{"role": "student", "content": "So is the parabola a U?", "session_id": 12847, "sequence_id": 254, "annotations": []}
{"role": "volunteer", "content": "Yes, correct", "session_id": 12847, "sequence_id": 255, "annotations": []}
{"role": "volunteer", "content": "Mhm", "session_id": 12847, "sequence_id": 256, "annotations": []}
{"role": "student", "content": "So it does technically cross the y-axis. I mean, the X-axis.", "session_id": 12847, "sequence_id": 257, "annotations": []}
{"role": "volunteer", "content": "At the x-axis, like, uh, what do you mean like excesses?", "session_id": 12847, "sequence_id": 258, "annotations": []}
{"role": "student", "content": "What would you make the", "session_id": 12847, "sequence_id": 259, "annotations": []}
{"role": "student", "content": "point, it crosses.", "session_id": 12847, "sequence_id": 260, "annotations": []}
{"role": "student", "content": "doesn't it?", "session_id": 12847, "sequence_id": 261, "annotations": []}
{"role": "volunteer", "content": "Because, because Y goes negative to over 25.", "session_id": 12847, "sequence_id": 262, "annotations": []}
{"role": "student", "content": "Doesn't it go like, like uh", "session_id": 12847, "sequence_id": 263, "annotations": []}
{"role": "volunteer", "content": "That this point", "session_id": 12847, "sequence_id": 264, "annotations": []}
{"role": "student", "content": "does it go like this?", "session_id": 12847, "sequence_id": 265, "annotations": []}
{"role": "student", "content": "Oh, sorry", "session_id": 12847, "sequence_id": 266, "annotations": []}
{"role": "student", "content": "Like", "session_id": 12847, "sequence_id": 267, "annotations": []}
{"role": "student", "content": "does it go like", "session_id": 12847, "sequence_id": 268, "annotations": []}
{"role": "student", "content": "that?", "session_id": 12847, "sequence_id": 269, "annotations": []}
{"role": "volunteer", "content": "Hm", "session_id": 12847, "sequence_id": 270, "annotations": []}
{"role": "volunteer", "content": "that in", "session_id": 12847, "sequence_id": 271, "annotations": []}
{"role": "student", "content": "Or does it go", "session_id": 12847, "sequence_id": 272, "annotations": []}
{"role": "student", "content": "some", "session_id": 12847, "sequence_id": 273, "annotations": []}
{"role": "volunteer", "content": "that is something you need to check.", "session_id": 12847, "sequence_id": 274, "annotations": []}
{"role": "volunteer", "content": "If you put like, I mean you can try one, right?", "session_id": 12847, "sequence_id": 275, "annotations": []}
{"role": "student", "content": "huh", "session_id": 12847, "sequence_id": 276, "annotations": []}
{"role": "volunteer", "content": "Hmm yeah", "session_id": 12847, "sequence_id": 277, "annotations": []}
{"role": "volunteer", "content": "it will be go like this way", "session_id": 12847, "sequence_id": 278, "annotations": []}
{"role": "student", "content": "Oh,", "session_id": 12847, "sequence_id": 279, "annotations": []}
{"role": "volunteer", "content": "You good, you good", "session_id": 12847, "sequence_id": 280, "annotations": []}
{"role": "student", "content": "So", "session_id": 12847, "sequence_id": 281, "annotations": []}
{"role": "volunteer", "content": "So", "session_id": 12847, "sequence_id": 282, "annotations": []}
{"role": "student", "content": "but doesn't that make it odd?", "session_id": 12847, "sequence_id": 283, "annotations": []}
{"role": "volunteer", "content": "yeah", "session_id": 12847, "sequence_id": 284, "annotations": []}
{"role": "student", "content": "You", "session_id": 12847, "sequence_id": 285, "annotations": []}
{"role": "volunteer", "content": "that's even", "session_id": 12847, "sequence_id": 286, "annotations": []}
{"role": "student", "content": "because it goes opposite ways.", "session_id": 12847, "sequence_id": 287, "annotations": []}
{"role": "volunteer", "content": "because so um", "session_id": 12847, "sequence_id": 288, "annotations": []}
{"role": "volunteer", "content": "if the graph looks like um", "session_id": 12847, "sequence_id": 289, "annotations": []}
{"role": "volunteer", "content": "this is", "session_id": 12847, "sequence_id": 290, "annotations": []}
{"role": "volunteer", "content": "or some somehow like this.", "session_id": 12847, "sequence_id": 291, "annotations": []}
{"role": "volunteer", "content": "that's even", "session_id": 12847, "sequence_id": 292, "annotations": []}
{"role": "volunteer", "content": "The left side is equal to the right side.", "session_id": 12847, "sequence_id": 293, "annotations": []}
{"role": "volunteer", "content": "But the graph", "session_id": 12847, "sequence_id": 294, "annotations": []}
{"role": "student", "content": "So this even.", "session_id": 12847, "sequence_id": 295, "annotations": []}
{"role": "volunteer", "content": "yeah, but the graph if it looks like this one.", "session_id": 12847, "sequence_id": 296, "annotations": []}
{"role": "volunteer", "content": "that is", "session_id": 12847, "sequence_id": 297, "annotations": []}
{"role": "volunteer", "content": "just odd", "session_id": 12847, "sequence_id": 298, "annotations": []}
{"role": "volunteer", "content": "because um", "session_id": 12847, "sequence_id": 299, "annotations": []}
{"role": "volunteer", "content": "yeah.", "session_id": 12847, "sequence_id": 300, "annotations": []}
{"role": "student", "content": "The pieces go opposite ways?", "session_id": 12847, "sequence_id": 301, "annotations": []}
{"role": "volunteer", "content": "Yes, yes", "session_id": 12847, "sequence_id": 302, "annotations": []}
{"role": "student", "content": "But if there are 3 pieces and 2 go the same way, but 1 goes the other way. Does that make the whole thing odd?", "session_id": 12847, "sequence_id": 303, "annotations": []}
{"role": "volunteer", "content": "No, did, um, so if you, you want to see that even, you just need to check the left and the right.", "session_id": 12847, "sequence_id": 304, "annotations": []}
{"role": "volunteer", "content": "The left side is right here.", "session_id": 12847, "sequence_id": 305, "annotations": []}
{"role": "student", "content": "Oh, OK, OK.", "session_id": 12847, "sequence_id": 306, "annotations": []}
{"role": "volunteer", "content": "The right is right here. So left", "session_id": 12847, "sequence_id": 307, "annotations": []}
{"role": "volunteer", "content": "is right", "session_id": 12847, "sequence_id": 308, "annotations": []}
{"role": "volunteer", "content": "equal uh the left side is the right side, that means that's even.", "session_id": 12847, "sequence_id": 309, "annotations": []}
{"role": "student", "content": "So the, it is even", "session_id": 12847, "sequence_id": 310, "annotations": []}
{"role": "volunteer", "content": "Yeah, it's so simple. Don't overthink it.", "session_id": 12847, "sequence_id": 311, "annotations": []}
{"role": "volunteer", "content": "Just left side, X, right side, that even.", "session_id": 12847, "sequence_id": 312, "annotations": []}
{"role": "student", "content": "OK", "session_id": 12847, "sequence_id": 313, "annotations": []}
{"role": "volunteer", "content": "or you can add the formula I just put down where I uh top.", "session_id": 12847, "sequence_id": 314, "annotations": []}
{"role": "student", "content": "At the top", "session_id": 12847, "sequence_id": 315, "annotations": []}
{"role": "volunteer", "content": "right here", "session_id": 12847, "sequence_id": 316, "annotations": []}
{"role": "student", "content": "Uh.", "session_id": 12847, "sequence_id": 317, "annotations": []}
{"role": "volunteer", "content": "Let me show you how to do that", "session_id": 12847, "sequence_id": 318, "annotations": []}
{"role": "volunteer", "content": "Uh, we put F X", "session_id": 12847, "sequence_id": 319, "annotations": []}
{"role": "volunteer", "content": "where + 4.", "session_id": 12847, "sequence_id": 320, "annotations": []}
{"role": "volunteer", "content": "2", "session_id": 12847, "sequence_id": 321, "annotations": []}
{"role": "volunteer", "content": "negative X", "session_id": 12847, "sequence_id": 322, "annotations": []}
{"role": "volunteer", "content": "2 minus 25.", "session_id": 12847, "sequence_id": 323, "annotations": []}
{"role": "volunteer", "content": "is exactly", "session_id": 12847, "sequence_id": 324, "annotations": []}
{"role": "volunteer", "content": "same as the original one.", "session_id": 12847, "sequence_id": 325, "annotations": []}
{"role": "volunteer", "content": "you see", "session_id": 12847, "sequence_id": 326, "annotations": []}
{"role": "student", "content": "uh", "session_id": 12847, "sequence_id": 327, "annotations": []}
{"role": "volunteer", "content": "It's just affects.", "session_id": 12847, "sequence_id": 328, "annotations": []}
{"role": "volunteer", "content": "So I don't think uh", "session_id": 12847, "sequence_id": 329, "annotations": []}
{"role": "volunteer", "content": "look at the graph is a good way, but", "session_id": 12847, "sequence_id": 330, "annotations": []}
{"role": "volunteer", "content": "that's one way, but um", "session_id": 12847, "sequence_id": 331, "annotations": []}
{"role": "volunteer", "content": "the most efficient way is", "session_id": 12847, "sequence_id": 332, "annotations": []}
{"role": "volunteer", "content": "to what", "session_id": 12847, "sequence_id": 333, "annotations": []}
{"role": "volunteer", "content": "what I did, right, right here.", "session_id": 12847, "sequence_id": 334, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 12847, "sequence_id": 335, "annotations": []}
{"role": "volunteer", "content": "that", "session_id": 12847, "sequence_id": 336, "annotations": []}
{"role": "volunteer", "content": "so it can guarantee you", "session_id": 12847, "sequence_id": 337, "annotations": []}
{"role": "volunteer", "content": "you will get it right.", "session_id": 12847, "sequence_id": 338, "annotations": []}
{"role": "student", "content": "I think that is it. I think", "session_id": 12847, "sequence_id": 339, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 12847, "sequence_id": 340, "annotations": []}
{"role": "student", "content": "now I still have any more questions.", "session_id": 12847, "sequence_id": 341, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 12847, "sequence_id": 342, "annotations": []}
{"role": "volunteer", "content": "Uh, then I just end this session.", "session_id": 12847, "sequence_id": 343, "annotations": []}
{"role": "student", "content": "Uh, yes. Bye", "session_id": 12847, "sequence_id": 344, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 12847, "sequence_id": 345, "annotations": []}
{"role": "volunteer", "content": "bye", "session_id": 12847, "sequence_id": 346, "annotations": []}
{"role": "student", "content": "Hello!", "session_id": 12714, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "hii, Alex", "session_id": 12714, "sequence_id": 1, "annotations": [{"pii_type": "PERSON", "surrogate": "Alex", "start": 5, "end": 9}]}
{"role": "student", "content": "I want to practice and study objectives 11 and 12. I kind of understand the concepts, but I get confused sometimes, so I need to improve in certain areas.", "session_id": 12714, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "I\u2019d like to go over the problems from the PDFs in order, starting with the Objective 11 PDF.", "session_id": 12714, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "I want to work through the problems from the first page onward. Could you also create new problems that are exactly like the original ones\u2014same concept but with different numbers\u2014and make two versions for each problem so I can get more familiar with them? https://example.com", "session_id": 12714, "sequence_id": 4, "annotations": [{"pii_type": "URL", "surrogate": "https://example.com", "start": 256, "end": 275}]}
{"role": "volunteer", "content": "do you have a screenshot or anything", "session_id": 12714, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "I can't open the pdf but you could try to upload a screenshot of it on here", "session_id": 12714, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "You have to click the link twice", "session_id": 12714, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "and copy and paste", "session_id": 12714, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "okay, I think that works", "session_id": 12714, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "so do you want to go over those questions", "session_id": 12714, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "Yes in order but diff numbers etc but exactly like the problem", "session_id": 12714, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "okay, I could try to find problems similar to those", "session_id": 12714, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "you can use chatgpt", "session_id": 12714, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "okay I got some", "session_id": 12714, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "Ok", "session_id": 12714, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "lmk when you've put them on th board", "session_id": 12714, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "x^2+2x\u221215", "session_id": 12714, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "ok", "session_id": 12714, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "ok thanks", "session_id": 12714, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "do you wanna do them together", "session_id": 12714, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 12714, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "so I have to find what equals 15 but gets you 2", "session_id": 12714, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "5-3", "session_id": 12714, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "yea", "session_id": 12714, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "so its (x+5)(x-3)?", "session_id": 12714, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "yeah, exactly, good job!", "session_id": 12714, "sequence_id": 26, "annotations": []}
{"role": "student", "content": ":)", "session_id": 12714, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "do you wanna do them one by one?", "session_id": 12714, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "ill do #8 since i only want to do 2 of each for the problm", "session_id": 12714, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "okay", "session_id": 12714, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "(x+3)(x+9)", "session_id": 12714, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "exactly, you really understand this topic :)", "session_id": 12714, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "lets skip to page 3", "session_id": 12714, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "okay", "session_id": 12714, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "number 25", "session_id": 12714, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "give me a sec", "session_id": 12714, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "Ok", "session_id": 12714, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "okay I got them", "session_id": 12714, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "do you want examples", "session_id": 12714, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "?", "session_id": 12714, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 12714, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "okay", "session_id": 12714, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "thanks", "session_id": 12714, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "is that enough", "session_id": 12714, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "ok", "session_id": 12714, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "or should I get some more", "session_id": 12714, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "yep", "session_id": 12714, "sequence_id": 47, "annotations": []}
{"role": "student", "content": "is enough", "session_id": 12714, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "so we do a tims c?", "session_id": 12714, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "what's that again", "session_id": 12714, "sequence_id": 50, "annotations": []}
{"role": "student", "content": "wait wiat no", "session_id": 12714, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "you could use the board if you need", "session_id": 12714, "sequence_id": 52, "annotations": []}
{"role": "student", "content": "ok", "session_id": 12714, "sequence_id": 53, "annotations": []}
{"role": "student", "content": "I need help", "session_id": 12714, "sequence_id": 54, "annotations": []}
{"role": "student", "content": "i cant find three numbers that get u 48", "session_id": 12714, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "with which one", "session_id": 12714, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "okay, let me explain", "session_id": 12714, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "48 is the sum of the numbers after u multiply and add, right?", "session_id": 12714, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "so it doesn't just have to be the multiples of it", "session_id": 12714, "sequence_id": 59, "annotations": []}
{"role": "student", "content": "with factoring trinomials u find 3 numbers that equal the middle #", "session_id": 12714, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "so lets break it down first", "session_id": 12714, "sequence_id": 61, "annotations": []}
{"role": "student", "content": "k", "session_id": 12714, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "so if it is 9, the constant would have to be what?", "session_id": 12714, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": ".", "session_id": 12714, "sequence_id": 64, "annotations": []}
{"role": "student", "content": "nvm i get it now", "session_id": 12714, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "oh okay", "session_id": 12714, "sequence_id": 66, "annotations": []}
{"role": "student", "content": "next one", "session_id": 12714, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "the one on the right?", "session_id": 12714, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "okay", "session_id": 12714, "sequence_id": 69, "annotations": []}
{"role": "student", "content": "mhm", "session_id": 12714, "sequence_id": 70, "annotations": []}
{"role": "student", "content": "(3x=7)^2?", "session_id": 12714, "sequence_id": 71, "annotations": []}
{"role": "student", "content": "+*", "session_id": 12714, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "you sure it would be +?", "session_id": 12714, "sequence_id": 73, "annotations": []}
{"role": "student", "content": "minus", "session_id": 12714, "sequence_id": 74, "annotations": []}
{"role": "volunteer", "content": "yeah, good job!", "session_id": 12714, "sequence_id": 75, "annotations": []}
{"role": "student", "content": "now 26", "session_id": 12714, "sequence_id": 76, "annotations": []}
{"role": "student", "content": "actually no", "session_id": 12714, "sequence_id": 77, "annotations": []}
{"role": "student", "content": "lets go to page 4 problem 15", "session_id": 12714, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "okay", "session_id": 12714, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "do you want examples on that?", "session_id": 12714, "sequence_id": 80, "annotations": []}
{"role": "student", "content": "mhm", "session_id": 12714, "sequence_id": 81, "annotations": []}
{"role": "volunteer", "content": "okay", "session_id": 12714, "sequence_id": 82, "annotations": []}
{"role": "volunteer", "content": "do you understand the questions?", "session_id": 12714, "sequence_id": 83, "annotations": []}
{"role": "volunteer", "content": "I'm gonna be back, give me a sec", "session_id": 12714, "sequence_id": 84, "annotations": []}
{"role": "student", "content": "ok", "session_id": 12714, "sequence_id": 85, "annotations": []}
{"role": "student", "content": "yep", "session_id": 12714, "sequence_id": 86, "annotations": []}
{"role": "volunteer", "content": "just write the answers when you are done :)", "session_id": 12714, "sequence_id": 87, "annotations": []}
{"role": "student", "content": "Ok", "session_id": 12714, "sequence_id": 88, "annotations": []}
{"role": "student", "content": "I need help", "session_id": 12714, "sequence_id": 89, "annotations": []}
{"role": "student", "content": "for the gcf", "session_id": 12714, "sequence_id": 90, "annotations": []}
{"role": "student", "content": "2 for the first one?", "session_id": 12714, "sequence_id": 91, "annotations": []}
{"role": "volunteer", "content": "yea, exactly", "session_id": 12714, "sequence_id": 92, "annotations": []}
{"role": "student", "content": "but idk about the second one", "session_id": 12714, "sequence_id": 93, "annotations": []}
{"role": "volunteer", "content": "the second could be by itslef", "session_id": 12714, "sequence_id": 94, "annotations": []}
{"role": "student", "content": "x?", "session_id": 12714, "sequence_id": 95, "annotations": []}
{"role": "student", "content": "it has to match tho", "session_id": 12714, "sequence_id": 96, "annotations": []}
{"role": "student", "content": "oh nvm", "session_id": 12714, "sequence_id": 97, "annotations": []}
{"role": "volunteer", "content": "you could make put -1", "session_id": 12714, "sequence_id": 98, "annotations": []}
{"role": "student", "content": "yep", "session_id": 12714, "sequence_id": 99, "annotations": []}
{"role": "volunteer", "content": "just tryna make sure you understand the problem :)", "session_id": 12714, "sequence_id": 100, "annotations": []}
{"role": "volunteer", "content": "does it all make sense?", "session_id": 12714, "sequence_id": 101, "annotations": []}
{"role": "student", "content": "isthis right?", "session_id": 12714, "sequence_id": 102, "annotations": []}
{"role": "volunteer", "content": "yeah, that's right, great job!", "session_id": 12714, "sequence_id": 103, "annotations": []}
{"role": "student", "content": "alright, next one!", "session_id": 12714, "sequence_id": 104, "annotations": []}
{"role": "volunteer", "content": "okay", "session_id": 12714, "sequence_id": 105, "annotations": []}
{"role": "volunteer", "content": "next page?", "session_id": 12714, "sequence_id": 106, "annotations": []}
{"role": "student", "content": "No i'm doing the 4x problem", "session_id": 12714, "sequence_id": 107, "annotations": []}
{"role": "volunteer", "content": "ohh okay", "session_id": 12714, "sequence_id": 108, "annotations": []}
{"role": "student", "content": "so its 4x^2+4x+7x+7?", "session_id": 12714, "sequence_id": 109, "annotations": []}
{"role": "volunteer", "content": "you can clear the board if you want", "session_id": 12714, "sequence_id": 110, "annotations": []}
{"role": "volunteer", "content": "is 4x and 7x positive tho?", "session_id": 12714, "sequence_id": 111, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 12714, "sequence_id": 112, "annotations": []}
{"role": "student", "content": "oh no its a neg 11", "session_id": 12714, "sequence_id": 113, "annotations": []}
{"role": "student", "content": "-7+-4", "session_id": 12714, "sequence_id": 114, "annotations": []}
{"role": "volunteer", "content": "yeah, so it would be negative", "session_id": 12714, "sequence_id": 115, "annotations": []}
{"role": "volunteer", "content": "yeah", "session_id": 12714, "sequence_id": 116, "annotations": []}
{"role": "student", "content": "is this right?", "session_id": 12714, "sequence_id": 117, "annotations": []}
{"role": "volunteer", "content": "yea", "session_id": 12714, "sequence_id": 118, "annotations": []}
{"role": "student", "content": "make it -1?", "session_id": 12714, "sequence_id": 119, "annotations": []}
{"role": "volunteer", "content": "yea, just like the previous one", "session_id": 12714, "sequence_id": 120, "annotations": []}
{"role": "student", "content": "(1x-1)(4x-7)", "session_id": 12714, "sequence_id": 121, "annotations": []}
{"role": "student", "content": "lets do page 6", "session_id": 12714, "sequence_id": 122, "annotations": []}
{"role": "volunteer", "content": "yea, good job!", "session_id": 12714, "sequence_id": 123, "annotations": []}
{"role": "volunteer", "content": "give me a sec k?", "session_id": 12714, "sequence_id": 124, "annotations": []}
{"role": "student", "content": "yep!", "session_id": 12714, "sequence_id": 125, "annotations": []}
{"role": "volunteer", "content": "I'm back", "session_id": 12714, "sequence_id": 126, "annotations": []}
{"role": "student", "content": "ok", "session_id": 12714, "sequence_id": 127, "annotations": []}
{"role": "volunteer", "content": "let me go to page 6", "session_id": 12714, "sequence_id": 128, "annotations": []}
{"role": "volunteer", "content": "okay, I have to get some examples", "session_id": 12714, "sequence_id": 129, "annotations": []}
{"role": "student", "content": "Ok", "session_id": 12714, "sequence_id": 130, "annotations": []}
{"role": "volunteer", "content": "did u understand the problem", "session_id": 12714, "sequence_id": 131, "annotations": []}
{"role": "student", "content": "Oh now I can see the problem", "session_id": 12714, "sequence_id": 132, "annotations": []}
{"role": "volunteer", "content": "oh okay", "session_id": 12714, "sequence_id": 133, "annotations": []}
{"role": "volunteer", "content": "just tell me if you need anything", "session_id": 12714, "sequence_id": 134, "annotations": []}
{"role": "volunteer", "content": "or don't understand", "session_id": 12714, "sequence_id": 135, "annotations": []}
{"role": "student", "content": "Ok", "session_id": 12714, "sequence_id": 136, "annotations": []}
{"role": "volunteer", "content": "sorry, I think the problem has a problem", "session_id": 12714, "sequence_id": 137, "annotations": []}
{"role": "volunteer", "content": "does it have a mistake, or am I mistaken", "session_id": 12714, "sequence_id": 138, "annotations": []}
{"role": "student", "content": "I don't think so", "session_id": 12714, "sequence_id": 139, "annotations": []}
{"role": "student", "content": "Are you talking about the first one?", "session_id": 12714, "sequence_id": 140, "annotations": []}
{"role": "student", "content": "yeah it may", "session_id": 12714, "sequence_id": 141, "annotations": []}
{"role": "volunteer", "content": "yea", "session_id": 12714, "sequence_id": 142, "annotations": []}
{"role": "volunteer", "content": "were u able to solve it?", "session_id": 12714, "sequence_id": 143, "annotations": []}
{"role": "student", "content": "No", "session_id": 12714, "sequence_id": 144, "annotations": []}
{"role": "student", "content": "make sure chatgpt knows what kind of problem it is", "session_id": 12714, "sequence_id": 145, "annotations": []}
{"role": "student", "content": "its factor by using subtitution", "session_id": 12714, "sequence_id": 146, "annotations": []}
{"role": "volunteer", "content": "yeah, it does, but i think it was tweaking a little", "session_id": 12714, "sequence_id": 147, "annotations": []}
{"role": "volunteer", "content": "so lets just skip the first one", "session_id": 12714, "sequence_id": 148, "annotations": []}
{"role": "student", "content": "Ok", "session_id": 12714, "sequence_id": 149, "annotations": []}
{"role": "student", "content": "so far its: 2b+1b+10b+5 right?", "session_id": 12714, "sequence_id": 150, "annotations": []}
{"role": "volunteer", "content": "yeah, that's right", "session_id": 12714, "sequence_id": 151, "annotations": []}
{"role": "student", "content": "kk", "session_id": 12714, "sequence_id": 152, "annotations": []}
{"role": "student", "content": "(1b+5)(2b+1)", "session_id": 12714, "sequence_id": 153, "annotations": []}
{"role": "volunteer", "content": "yeah, exactly", "session_id": 12714, "sequence_id": 154, "annotations": []}
{"role": "volunteer", "content": "now you have to do the substitution", "session_id": 12714, "sequence_id": 155, "annotations": []}
{"role": "student", "content": "is the answer (x-4)(5x+6)?", "session_id": 12714, "sequence_id": 156, "annotations": []}
{"role": "volunteer", "content": "not quiet", "session_id": 12714, "sequence_id": 157, "annotations": []}
{"role": "student", "content": "oh", "session_id": 12714, "sequence_id": 158, "annotations": []}
{"role": "student", "content": "can u show it on the whiteboard then", "session_id": 12714, "sequence_id": 159, "annotations": []}
{"role": "student", "content": "this?", "session_id": 12714, "sequence_id": 160, "annotations": []}
{"role": "volunteer", "content": "yeah", "session_id": 12714, "sequence_id": 161, "annotations": []}
{"role": "volunteer", "content": "so that would be x + 6 right?", "session_id": 12714, "sequence_id": 162, "annotations": []}
{"role": "student", "content": "mhm", "session_id": 12714, "sequence_id": 163, "annotations": []}
{"role": "student", "content": "what about the bottom part", "session_id": 12714, "sequence_id": 164, "annotations": []}
{"role": "volunteer", "content": "can I ask where u got the 5 from", "session_id": 12714, "sequence_id": 165, "annotations": []}
{"role": "volunteer", "content": "on the second line", "session_id": 12714, "sequence_id": 166, "annotations": []}
{"role": "student", "content": "oh nvm", "session_id": 12714, "sequence_id": 167, "annotations": []}
{"role": "student", "content": "its 2", "session_id": 12714, "sequence_id": 168, "annotations": []}
{"role": "volunteer", "content": "yeah", "session_id": 12714, "sequence_id": 169, "annotations": []}
{"role": "volunteer", "content": "just make sure to pay attention to that next time, other than that, there are no other mistakes", "session_id": 12714, "sequence_id": 170, "annotations": []}
{"role": "student", "content": "2x+3?", "session_id": 12714, "sequence_id": 171, "annotations": []}
{"role": "volunteer", "content": "yeah, that's it", "session_id": 12714, "sequence_id": 172, "annotations": []}
{"role": "student", "content": "ok another one", "session_id": 12714, "sequence_id": 173, "annotations": []}
{"role": "volunteer", "content": "okay let me get some", "session_id": 12714, "sequence_id": 174, "annotations": []}
{"role": "student", "content": "i can do the 4(w^2", "session_id": 12714, "sequence_id": 175, "annotations": []}
{"role": "student", "content": "problem", "session_id": 12714, "sequence_id": 176, "annotations": []}
{"role": "volunteer", "content": "yeah, okay", "session_id": 12714, "sequence_id": 177, "annotations": []}
{"role": "student", "content": "is it 4x-4x-1x+1", "session_id": 12714, "sequence_id": 178, "annotations": []}
{"role": "volunteer", "content": "yeah", "session_id": 12714, "sequence_id": 179, "annotations": []}
{"role": "student", "content": "ok", "session_id": 12714, "sequence_id": 180, "annotations": []}
{"role": "student", "content": "need help w th gcf", "session_id": 12714, "sequence_id": 181, "annotations": []}
{"role": "volunteer", "content": "of which ones", "session_id": 12714, "sequence_id": 182, "annotations": []}
{"role": "student", "content": "the 4x-4x-1x+1", "session_id": 12714, "sequence_id": 183, "annotations": []}
{"role": "volunteer", "content": "so for the first two, you could put 4x, right?", "session_id": 12714, "sequence_id": 184, "annotations": []}
{"role": "student", "content": "ohh i see", "session_id": 12714, "sequence_id": 185, "annotations": []}
{"role": "volunteer", "content": "that would make it x-1", "session_id": 12714, "sequence_id": 186, "annotations": []}
{"role": "student", "content": "but the 1 infront is negative and the 4 is pos", "session_id": 12714, "sequence_id": 187, "annotations": []}
{"role": "volunteer", "content": "?", "session_id": 12714, "sequence_id": 188, "annotations": []}
{"role": "student", "content": "see", "session_id": 12714, "sequence_id": 189, "annotations": []}
{"role": "volunteer", "content": "so the first one would be 4x(x-1) as we said", "session_id": 12714, "sequence_id": 190, "annotations": []}
{"role": "volunteer", "content": "and for the second one, you could make it -1 like the previous ones", "session_id": 12714, "sequence_id": 191, "annotations": []}
{"role": "student", "content": "ok", "session_id": 12714, "sequence_id": 192, "annotations": []}
{"role": "student", "content": "oh i see", "session_id": 12714, "sequence_id": 193, "annotations": []}
{"role": "volunteer", "content": "okay", "session_id": 12714, "sequence_id": 194, "annotations": []}
{"role": "student", "content": "no we have to substitute", "session_id": 12714, "sequence_id": 195, "annotations": []}
{"role": "student", "content": "(4x-1)(1x-1)", "session_id": 12714, "sequence_id": 196, "annotations": []}
{"role": "student", "content": "would it be (w-1+4x-1)?", "session_id": 12714, "sequence_id": 197, "annotations": []}
{"role": "volunteer", "content": "no it would be (4(w^2-1) -1)", "session_id": 12714, "sequence_id": 198, "annotations": []}
{"role": "student", "content": "ohhh ok", "session_id": 12714, "sequence_id": 199, "annotations": []}
{"role": "volunteer", "content": "you get what I did right?", "session_id": 12714, "sequence_id": 200, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 12714, "sequence_id": 201, "annotations": []}
{"role": "student", "content": "would i distribute?", "session_id": 12714, "sequence_id": 202, "annotations": []}
{"role": "volunteer", "content": "yeah", "session_id": 12714, "sequence_id": 203, "annotations": []}
{"role": "volunteer", "content": "and then subtract the one at the ned", "session_id": 12714, "sequence_id": 204, "annotations": []}
{"role": "volunteer", "content": "end*", "session_id": 12714, "sequence_id": 205, "annotations": []}
{"role": "student", "content": "wait write this on the whiteboard so i can solve it on there", "session_id": 12714, "sequence_id": 206, "annotations": []}
{"role": "volunteer", "content": "which one", "session_id": 12714, "sequence_id": 207, "annotations": []}
{"role": "student", "content": "the substitution part u just typed in chat", "session_id": 12714, "sequence_id": 208, "annotations": []}
{"role": "volunteer", "content": "is that good", "session_id": 12714, "sequence_id": 209, "annotations": []}
{"role": "student", "content": "ok", "session_id": 12714, "sequence_id": 210, "annotations": []}
{"role": "student", "content": "this?", "session_id": 12714, "sequence_id": 211, "annotations": []}
{"role": "volunteer", "content": "try not to forget the squares", "session_id": 12714, "sequence_id": 212, "annotations": []}
{"role": "volunteer", "content": "that should be right", "session_id": 12714, "sequence_id": 213, "annotations": []}
{"role": "student", "content": "what about the other part", "session_id": 12714, "sequence_id": 214, "annotations": []}
{"role": "volunteer", "content": "so let me write it on the whiteboard", "session_id": 12714, "sequence_id": 215, "annotations": []}
{"role": "student", "content": "the last problem had squares and we didnt square the final answer", "session_id": 12714, "sequence_id": 216, "annotations": []}
{"role": "student", "content": "oh nvm thats bc it was on the outside", "session_id": 12714, "sequence_id": 217, "annotations": []}
{"role": "volunteer", "content": "yeah", "session_id": 12714, "sequence_id": 218, "annotations": []}
{"role": "student", "content": "now the (1x-1)", "session_id": 12714, "sequence_id": 219, "annotations": []}
{"role": "volunteer", "content": "okay", "session_id": 12714, "sequence_id": 220, "annotations": []}
{"role": "volunteer", "content": "now you can simplify that expression", "session_id": 12714, "sequence_id": 221, "annotations": []}
{"role": "student", "content": "w^2-2?", "session_id": 12714, "sequence_id": 222, "annotations": []}
{"role": "student", "content": "*w^2", "session_id": 12714, "sequence_id": 223, "annotations": []}
{"role": "volunteer", "content": "yeah", "session_id": 12714, "sequence_id": 224, "annotations": []}
{"role": "student", "content": "so the final answer is (4w^2-5)(w^2-2)", "session_id": 12714, "sequence_id": 225, "annotations": []}
{"role": "volunteer", "content": "yeah thats it", "session_id": 12714, "sequence_id": 226, "annotations": []}
{"role": "volunteer", "content": "good job!", "session_id": 12714, "sequence_id": 227, "annotations": []}
{"role": "volunteer", "content": ":)", "session_id": 12714, "sequence_id": 228, "annotations": []}
{"role": "student", "content": "now we can work on objective 12", "session_id": 12714, "sequence_id": 229, "annotations": []}
{"role": "student", "content": "the one that i am struggling with", "session_id": 12714, "sequence_id": 230, "annotations": []}
{"role": "student", "content": "give me one sec to get the link", "session_id": 12714, "sequence_id": 231, "annotations": []}
{"role": "volunteer", "content": "okay", "session_id": 12714, "sequence_id": 232, "annotations": []}
{"role": "student", "content": "here it is", "session_id": 12714, "sequence_id": 233, "annotations": []}
{"role": "volunteer", "content": "okay ,give me a sec to open it", "session_id": 12714, "sequence_id": 234, "annotations": []}
{"role": "student", "content": "kk", "session_id": 12714, "sequence_id": 235, "annotations": []}
{"role": "volunteer", "content": "okay I opened it", "session_id": 12714, "sequence_id": 236, "annotations": []}
{"role": "student", "content": "kk!", "session_id": 12714, "sequence_id": 237, "annotations": []}
{"role": "volunteer", "content": "okay so do you want me to give you examples about the first page", "session_id": 12714, "sequence_id": 238, "annotations": []}
{"role": "student", "content": "mhm", "session_id": 12714, "sequence_id": 239, "annotations": []}
{"role": "student", "content": "thanks", "session_id": 12714, "sequence_id": 240, "annotations": []}
{"role": "volunteer", "content": "do you want some mor", "session_id": 12714, "sequence_id": 241, "annotations": []}
{"role": "volunteer", "content": "more*", "session_id": 12714, "sequence_id": 242, "annotations": []}
{"role": "volunteer", "content": "or will that be enough", "session_id": 12714, "sequence_id": 243, "annotations": []}
{"role": "student", "content": "its good", "session_id": 12714, "sequence_id": 244, "annotations": []}
{"role": "volunteer", "content": "okay", "session_id": 12714, "sequence_id": 245, "annotations": []}
{"role": "student", "content": "so 81 becomes 9", "session_id": 12714, "sequence_id": 246, "annotations": []}
{"role": "volunteer", "content": "yeah", "session_id": 12714, "sequence_id": 247, "annotations": []}
{"role": "student", "content": "(w-9)(w+9)?", "session_id": 12714, "sequence_id": 248, "annotations": []}
{"role": "volunteer", "content": "yeah, that's it", "session_id": 12714, "sequence_id": 249, "annotations": []}
{"role": "student", "content": "10p^2-7q^2", "session_id": 12714, "sequence_id": 250, "annotations": []}
{"role": "volunteer", "content": "yep", "session_id": 12714, "sequence_id": 251, "annotations": []}
{"role": "student", "content": "so (10p-7)(10p+7)?", "session_id": 12714, "sequence_id": 252, "annotations": []}
{"role": "volunteer", "content": "yess, good job!", "session_id": 12714, "sequence_id": 253, "annotations": []}
{"role": "student", "content": ":)", "session_id": 12714, "sequence_id": 254, "annotations": []}
{"role": "student", "content": "now a problem like 3 & 4", "session_id": 12714, "sequence_id": 255, "annotations": []}
{"role": "volunteer", "content": "okayy", "session_id": 12714, "sequence_id": 256, "annotations": []}
{"role": "student", "content": "thank you", "session_id": 12714, "sequence_id": 257, "annotations": []}
{"role": "volunteer", "content": "you're welcome :)", "session_id": 12714, "sequence_id": 258, "annotations": []}
{"role": "student", "content": "i will brb!", "session_id": 12714, "sequence_id": 259, "annotations": []}
{"role": "volunteer", "content": "kk", "session_id": 12714, "sequence_id": 260, "annotations": []}
{"role": "student", "content": "back", "session_id": 12714, "sequence_id": 261, "annotations": []}
{"role": "student", "content": "so 8y becomes (2y)^3", "session_id": 12714, "sequence_id": 262, "annotations": []}
{"role": "volunteer", "content": "yea", "session_id": 12714, "sequence_id": 263, "annotations": []}
{"role": "student", "content": "(5)^3?", "session_id": 12714, "sequence_id": 264, "annotations": []}
{"role": "volunteer", "content": "yupp", "session_id": 12714, "sequence_id": 265, "annotations": []}
{"role": "student", "content": "(2y-5)(2y+5)?", "session_id": 12714, "sequence_id": 266, "annotations": []}
{"role": "volunteer", "content": "but its difference of cubes, so wouldn't that be different?", "session_id": 12714, "sequence_id": 267, "annotations": []}
{"role": "student", "content": "This is the stuff that confuses me lol", "session_id": 12714, "sequence_id": 268, "annotations": []}
{"role": "student", "content": "2y^3?", "session_id": 12714, "sequence_id": 269, "annotations": []}
{"role": "volunteer", "content": "so hold on, let me try to explain it", "session_id": 12714, "sequence_id": 270, "annotations": []}
{"role": "student", "content": "ok", "session_id": 12714, "sequence_id": 271, "annotations": []}
{"role": "volunteer", "content": "so the formula for difference of cubes is (a\u2212b)(a^2+ab+b^2)", "session_id": 12714, "sequence_id": 272, "annotations": []}
{"role": "volunteer", "content": "and the form of this problem is a^3 - b^3", "session_id": 12714, "sequence_id": 273, "annotations": []}
{"role": "volunteer", "content": "does that make sense?", "session_id": 12714, "sequence_id": 274, "annotations": []}
{"role": "student", "content": "can you show this on the board", "session_id": 12714, "sequence_id": 275, "annotations": []}
{"role": "student", "content": "oh yeah i forgot", "session_id": 12714, "sequence_id": 276, "annotations": []}
{"role": "student", "content": "yeah you're right", "session_id": 12714, "sequence_id": 277, "annotations": []}
{"role": "student", "content": "wait and these are problems from 3&4 page 1?", "session_id": 12714, "sequence_id": 278, "annotations": []}
{"role": "volunteer", "content": "yeah", "session_id": 12714, "sequence_id": 279, "annotations": []}
{"role": "volunteer", "content": "oh problems 3 and 4?", "session_id": 12714, "sequence_id": 280, "annotations": []}
{"role": "volunteer", "content": "on page 1?", "session_id": 12714, "sequence_id": 281, "annotations": []}
{"role": "student", "content": "yeahh", "session_id": 12714, "sequence_id": 282, "annotations": []}
{"role": "student", "content": "lol", "session_id": 12714, "sequence_id": 283, "annotations": []}
{"role": "volunteer", "content": "ohh I thought you meant the page number", "session_id": 12714, "sequence_id": 284, "annotations": []}
{"role": "volunteer", "content": "so sorry", "session_id": 12714, "sequence_id": 285, "annotations": []}
{"role": "student", "content": "its ok! lol yeah i figured", "session_id": 12714, "sequence_id": 286, "annotations": []}
{"role": "volunteer", "content": "let me find ones for those problems", "session_id": 12714, "sequence_id": 287, "annotations": []}
{"role": "student", "content": "Ok!", "session_id": 12714, "sequence_id": 288, "annotations": []}
{"role": "volunteer", "content": "I'm gonna brb, is that okay?", "session_id": 12714, "sequence_id": 289, "annotations": []}
{"role": "student", "content": "yes!", "session_id": 12714, "sequence_id": 290, "annotations": []}
{"role": "volunteer", "content": "kk", "session_id": 12714, "sequence_id": 291, "annotations": []}
{"role": "student", "content": "kinda need help  this one", "session_id": 12714, "sequence_id": 292, "annotations": []}
{"role": "student", "content": "when you come back", "session_id": 12714, "sequence_id": 293, "annotations": []}
{"role": "volunteer", "content": "I'm back", "session_id": 12714, "sequence_id": 294, "annotations": []}
{"role": "volunteer", "content": "which one again", "session_id": 12714, "sequence_id": 295, "annotations": []}
{"role": "student", "content": "the firsy pn", "session_id": 12714, "sequence_id": 296, "annotations": []}
{"role": "student", "content": "45y^2", "session_id": 12714, "sequence_id": 297, "annotations": []}
{"role": "student", "content": "that one", "session_id": 12714, "sequence_id": 298, "annotations": []}
{"role": "volunteer", "content": "give me a sec", "session_id": 12714, "sequence_id": 299, "annotations": []}
{"role": "student", "content": "kk", "session_id": 12714, "sequence_id": 300, "annotations": []}
{"role": "volunteer", "content": "okay so you see how both of them are divisible by 5?", "session_id": 12714, "sequence_id": 301, "annotations": []}
{"role": "student", "content": "yes", "session_id": 12714, "sequence_id": 302, "annotations": []}
{"role": "volunteer", "content": "you could take five out of both of them and then simplify", "session_id": 12714, "sequence_id": 303, "annotations": []}
{"role": "volunteer", "content": "does that help?", "session_id": 12714, "sequence_id": 304, "annotations": []}
{"role": "student", "content": "Wait can u show this on the board", "session_id": 12714, "sequence_id": 305, "annotations": []}
{"role": "volunteer", "content": "okay", "session_id": 12714, "sequence_id": 306, "annotations": []}
{"role": "volunteer", "content": "did you get it?", "session_id": 12714, "sequence_id": 307, "annotations": []}
{"role": "student", "content": "I need to see it solved on the board", "session_id": 12714, "sequence_id": 308, "annotations": []}
{"role": "volunteer", "content": "I just wrote how it goes on the board", "session_id": 12714, "sequence_id": 309, "annotations": []}
{"role": "student", "content": "let me refresh", "session_id": 12714, "sequence_id": 310, "annotations": []}
{"role": "volunteer", "content": "kk", "session_id": 12714, "sequence_id": 311, "annotations": []}
{"role": "student", "content": "still dno't", "session_id": 12714, "sequence_id": 312, "annotations": []}
{"role": "volunteer", "content": "it might be my wifi lagging", "session_id": 12714, "sequence_id": 313, "annotations": []}
{"role": "volunteer", "content": "I can just type it in here if you want", "session_id": 12714, "sequence_id": 314, "annotations": []}
{"role": "volunteer", "content": "should I?", "session_id": 12714, "sequence_id": 315, "annotations": []}
{"role": "student", "content": "Sure", "session_id": 12714, "sequence_id": 316, "annotations": []}
{"role": "volunteer", "content": "(45/5y^2-5/5) is what you get when you divide them both by 5", "session_id": 12714, "sequence_id": 317, "annotations": []}
{"role": "volunteer", "content": "you can try simplifying it", "session_id": 12714, "sequence_id": 318, "annotations": []}
{"role": "student", "content": "ok", "session_id": 12714, "sequence_id": 319, "annotations": []}
{"role": "student", "content": "so it becomes 9y^2-1", "session_id": 12714, "sequence_id": 320, "annotations": []}
{"role": "volunteer", "content": "yeah and then we could just put 5 out of the parenthesis right?", "session_id": 12714, "sequence_id": 321, "annotations": []}
{"role": "student", "content": "mhm", "session_id": 12714, "sequence_id": 322, "annotations": []}
{"role": "student", "content": "so we only put the number on the outside if we used it to divide?", "session_id": 12714, "sequence_id": 323, "annotations": []}
{"role": "student", "content": "by the same number 2 for the binomials", "session_id": 12714, "sequence_id": 324, "annotations": []}
{"role": "volunteer", "content": "thats what you could do if the first coefficient doesn't have a gcf", "session_id": 12714, "sequence_id": 325, "annotations": []}
{"role": "volunteer", "content": "yeah basically", "session_id": 12714, "sequence_id": 326, "annotations": []}
{"role": "student", "content": "5(9y-1)(9y+1)", "session_id": 12714, "sequence_id": 327, "annotations": []}
{"role": "volunteer", "content": "you know differences of squares right?", "session_id": 12714, "sequence_id": 328, "annotations": []}
{"role": "volunteer", "content": ".", "session_id": 12714, "sequence_id": 329, "annotations": []}
{"role": "student", "content": "it changes to 3?", "session_id": 12714, "sequence_id": 330, "annotations": []}
{"role": "student", "content": "and not rlly", "session_id": 12714, "sequence_id": 331, "annotations": []}
{"role": "volunteer", "content": "yeeh", "session_id": 12714, "sequence_id": 332, "annotations": []}
{"role": "volunteer", "content": "yeah", "session_id": 12714, "sequence_id": 333, "annotations": []}
{"role": "volunteer", "content": "because the formula is (a^2-b^2)", "session_id": 12714, "sequence_id": 334, "annotations": []}
{"role": "student", "content": "so its 5(3y-1)(3y+1)", "session_id": 12714, "sequence_id": 335, "annotations": []}
{"role": "volunteer", "content": "yeah", "session_id": 12714, "sequence_id": 336, "annotations": []}
{"role": "volunteer", "content": "exactly", "session_id": 12714, "sequence_id": 337, "annotations": []}
{"role": "volunteer", "content": "do you get the concept?", "session_id": 12714, "sequence_id": 338, "annotations": []}
{"role": "student", "content": "mhm", "session_id": 12714, "sequence_id": 339, "annotations": []}
{"role": "student", "content": "ok next one", "session_id": 12714, "sequence_id": 340, "annotations": []}
{"role": "volunteer", "content": "okay", "session_id": 12714, "sequence_id": 341, "annotations": []}
{"role": "student", "content": "(5x)^2(9)^2", "session_id": 12714, "sequence_id": 342, "annotations": []}
{"role": "student", "content": "?", "session_id": 12714, "sequence_id": 343, "annotations": []}
{"role": "volunteer", "content": "but the power of the first one is 4", "session_id": 12714, "sequence_id": 344, "annotations": []}
{"role": "volunteer", "content": "instead of 2", "session_id": 12714, "sequence_id": 345, "annotations": []}
{"role": "student", "content": "i thought it changes to 2 since its divisable by that", "session_id": 12714, "sequence_id": 346, "annotations": []}
{"role": "volunteer", "content": "even if you divide it, it becomes 2, because like 81, we don't just say 3^2 right?", "session_id": 12714, "sequence_id": 347, "annotations": []}
{"role": "volunteer", "content": "I don't know if that makes sense", "session_id": 12714, "sequence_id": 348, "annotations": []}
{"role": "student", "content": "right", "session_id": 12714, "sequence_id": 349, "annotations": []}
{"role": "volunteer", "content": "like its supposed to equal the original term, and (5x)^2 doesn't equal 25x^4, does it?", "session_id": 12714, "sequence_id": 350, "annotations": []}
{"role": "student", "content": "5x5=25", "session_id": 12714, "sequence_id": 351, "annotations": []}
{"role": "volunteer", "content": "yeah, but it would be 25x^2, not ^4", "session_id": 12714, "sequence_id": 352, "annotations": []}
{"role": "student", "content": "ohh ok", "session_id": 12714, "sequence_id": 353, "annotations": []}
{"role": "student", "content": "so its 5x^4", "session_id": 12714, "sequence_id": 354, "annotations": []}
{"role": "volunteer", "content": "yeah", "session_id": 12714, "sequence_id": 355, "annotations": []}
{"role": "student", "content": "and (9)^2 or 4 as well?", "session_id": 12714, "sequence_id": 356, "annotations": []}
{"role": "volunteer", "content": "okay so for the first term, it would be (5x^2)^2", "session_id": 12714, "sequence_id": 357, "annotations": []}
{"role": "student", "content": "why two 2's", "session_id": 12714, "sequence_id": 358, "annotations": []}
{"role": "volunteer", "content": "cause when you distribute the powers will add up", "session_id": 12714, "sequence_id": 359, "annotations": []}
{"role": "volunteer", "content": "and that would make ^4", "session_id": 12714, "sequence_id": 360, "annotations": []}
{"role": "student", "content": "oh ok", "session_id": 12714, "sequence_id": 361, "annotations": []}
{"role": "student", "content": "and then the 9 is (9)^2?", "session_id": 12714, "sequence_id": 362, "annotations": []}
{"role": "volunteer", "content": "yeah", "session_id": 12714, "sequence_id": 363, "annotations": []}
{"role": "student", "content": "(5x^2-9)(5x^2+9)?", "session_id": 12714, "sequence_id": 364, "annotations": []}
{"role": "volunteer", "content": "yupp, that's exactly it!", "session_id": 12714, "sequence_id": 365, "annotations": []}
{"role": "student", "content": "yeah i think the exponnet part is what trips me up too", "session_id": 12714, "sequence_id": 366, "annotations": []}
{"role": "volunteer", "content": "yeah", "session_id": 12714, "sequence_id": 367, "annotations": []}
{"role": "student", "content": "now 5 & 6", "session_id": 12714, "sequence_id": 368, "annotations": []}
{"role": "volunteer", "content": "okay", "session_id": 12714, "sequence_id": 369, "annotations": []}
{"role": "volunteer", "content": "problems, right?", "session_id": 12714, "sequence_id": 370, "annotations": []}
{"role": "student", "content": "mhm", "session_id": 12714, "sequence_id": 371, "annotations": []}
{"role": "volunteer", "content": "kk", "session_id": 12714, "sequence_id": 372, "annotations": []}
{"role": "student", "content": "can u give me one like #4 since its a fraction", "session_id": 12714, "sequence_id": 373, "annotations": []}
{"role": "student", "content": "problem 4 on page 1", "session_id": 12714, "sequence_id": 374, "annotations": []}
{"role": "volunteer", "content": "kk", "session_id": 12714, "sequence_id": 375, "annotations": []}
{"role": "student", "content": "Thanks", "session_id": 12714, "sequence_id": 376, "annotations": []}
{"role": "student", "content": "so that one becomes 2/3x^2-1/4y^2", "session_id": 12714, "sequence_id": 377, "annotations": []}
{"role": "volunteer", "content": "yeah", "session_id": 12714, "sequence_id": 378, "annotations": []}
{"role": "volunteer", "content": "but you wouldn't keep the powers cause we already eliminated them by square rooting", "session_id": 12714, "sequence_id": 379, "annotations": []}
{"role": "student", "content": "I know", "session_id": 12714, "sequence_id": 380, "annotations": []}
{"role": "student", "content": "yah", "session_id": 12714, "sequence_id": 381, "annotations": []}
{"role": "student", "content": "so its (2/3x+1/4y)(2/3x-1/4y)?", "session_id": 12714, "sequence_id": 382, "annotations": []}
{"role": "volunteer", "content": "yupp", "session_id": 12714, "sequence_id": 383, "annotations": []}
{"role": "student", "content": "now the other ones", "session_id": 12714, "sequence_id": 384, "annotations": []}
{"role": "volunteer", "content": "I think this one was easy for you, right?", "session_id": 12714, "sequence_id": 385, "annotations": []}
{"role": "student", "content": "Yeah kinda", "session_id": 12714, "sequence_id": 386, "annotations": []}
{"role": "volunteer", "content": "mmk", "session_id": 12714, "sequence_id": 387, "annotations": []}
{"role": "student", "content": "so the first one becomes", "session_id": 12714, "sequence_id": 388, "annotations": []}
{"role": "student", "content": "(4x^2)^2?", "session_id": 12714, "sequence_id": 389, "annotations": []}
{"role": "volunteer", "content": "yeah", "session_id": 12714, "sequence_id": 390, "annotations": []}
{"role": "student", "content": "(4x^2-1+(4x^2+1)?", "session_id": 12714, "sequence_id": 391, "annotations": []}
{"role": "volunteer", "content": "yup, that's right!", "session_id": 12714, "sequence_id": 392, "annotations": []}
{"role": "student", "content": "now the second one", "session_id": 12714, "sequence_id": 393, "annotations": []}
{"role": "volunteer", "content": "yea", "session_id": 12714, "sequence_id": 394, "annotations": []}
{"role": "student", "content": "gonna use the bathroom one moment", "session_id": 12714, "sequence_id": 395, "annotations": []}
{"role": "volunteer", "content": "kk", "session_id": 12714, "sequence_id": 396, "annotations": []}
{"role": "student", "content": "ok sorry about the wait i'm back", "session_id": 12714, "sequence_id": 397, "annotations": []}
{"role": "student", "content": "so does it become 4^3-5^3?", "session_id": 12714, "sequence_id": 398, "annotations": []}
{"role": "volunteer", "content": "no ur good", "session_id": 12714, "sequence_id": 399, "annotations": []}
{"role": "volunteer", "content": "you could say that, or you could square root them", "session_id": 12714, "sequence_id": 400, "annotations": []}
{"role": "student", "content": "ok", "session_id": 12714, "sequence_id": 401, "annotations": []}
{"role": "volunteer", "content": "like (8a^3)^2", "session_id": 12714, "sequence_id": 402, "annotations": []}
{"role": "student", "content": "ok", "session_id": 12714, "sequence_id": 403, "annotations": []}
{"role": "student", "content": "ill do that, it makes sense", "session_id": 12714, "sequence_id": 404, "annotations": []}
{"role": "volunteer", "content": "yeah", "session_id": 12714, "sequence_id": 405, "annotations": []}
{"role": "student", "content": "and for 25 i can do (5^2)^2?", "session_id": 12714, "sequence_id": 406, "annotations": []}
{"role": "student", "content": "wait no ^4 and ^2?", "session_id": 12714, "sequence_id": 407, "annotations": []}
{"role": "volunteer", "content": "you could do (5b^4)^2", "session_id": 12714, "sequence_id": 408, "annotations": []}
{"role": "volunteer", "content": "yeah,", "session_id": 12714, "sequence_id": 409, "annotations": []}
{"role": "student", "content": "yupp", "session_id": 12714, "sequence_id": 410, "annotations": []}
{"role": "student", "content": "so it becomes", "session_id": 12714, "sequence_id": 411, "annotations": []}
{"role": "student", "content": "(8a^3+5b^4)(8a^3-5b^4)?", "session_id": 12714, "sequence_id": 412, "annotations": []}
{"role": "volunteer", "content": "yupp, exactly", "session_id": 12714, "sequence_id": 413, "annotations": []}
{"role": "volunteer", "content": ":)", "session_id": 12714, "sequence_id": 414, "annotations": []}
{"role": "volunteer", "content": "I have a random question", "session_id": 12714, "sequence_id": 415, "annotations": []}
{"role": "student", "content": "sure", "session_id": 12714, "sequence_id": 416, "annotations": []}
{"role": "volunteer", "content": "do you like kpop or BTS by any chance?", "session_id": 12714, "sequence_id": 417, "annotations": [{"pii_type": "PERSON", "surrogate": "BTS", "start": 20, "end": 23}]}
{"role": "student", "content": "I like R&B lol", "session_id": 12714, "sequence_id": 418, "annotations": []}
{"role": "student", "content": "but i know who they are", "session_id": 12714, "sequence_id": 419, "annotations": []}
{"role": "volunteer", "content": "oh okayy", "session_id": 12714, "sequence_id": 420, "annotations": []}
{"role": "volunteer", "content": "I mean who doesn't atp lol", "session_id": 12714, "sequence_id": 421, "annotations": []}
{"role": "student", "content": "loll yeah theyre worldwide", "session_id": 12714, "sequence_id": 422, "annotations": []}
{"role": "student", "content": "i have a friend who listens to them", "session_id": 12714, "sequence_id": 423, "annotations": []}
{"role": "volunteer", "content": "BTS or kpop", "session_id": 12714, "sequence_id": 424, "annotations": [{"pii_type": "PERSON", "surrogate": "BTS", "start": 0, "end": 3}]}
{"role": "student", "content": "kpop", "session_id": 12714, "sequence_id": 425, "annotations": []}
{"role": "student", "content": "i actually never heard of BTS", "session_id": 12714, "sequence_id": 426, "annotations": [{"pii_type": "PERSON", "surrogate": "BTS", "start": 26, "end": 29}]}
{"role": "volunteer", "content": "which groups", "session_id": 12714, "sequence_id": 427, "annotations": []}
{"role": "student", "content": "i searched them up and they remind me of fifth hrmony", "session_id": 12714, "sequence_id": 428, "annotations": []}
{"role": "student", "content": "with the diversity", "session_id": 12714, "sequence_id": 429, "annotations": []}
{"role": "volunteer", "content": "do you know gnarly, the trending song", "session_id": 12714, "sequence_id": 430, "annotations": []}
{"role": "student", "content": "yes", "session_id": 12714, "sequence_id": 431, "annotations": []}
{"role": "volunteer", "content": "yeah lol", "session_id": 12714, "sequence_id": 432, "annotations": []}
{"role": "student", "content": "i listen to SZA", "session_id": 12714, "sequence_id": 433, "annotations": []}
{"role": "volunteer", "content": "yeah they are the artists that made gnarly", "session_id": 12714, "sequence_id": 434, "annotations": []}
{"role": "volunteer", "content": "i have a friend who listens BTS", "session_id": 12714, "sequence_id": 435, "annotations": [{"pii_type": "PERSON", "surrogate": "BTS", "start": 28, "end": 31}]}
{"role": "student", "content": "ohh i didn't even know they made that song", "session_id": 12714, "sequence_id": 436, "annotations": []}
{"role": "student", "content": "and yeah i love BTS", "session_id": 12714, "sequence_id": 437, "annotations": [{"pii_type": "PERSON", "surrogate": "BTS", "start": 16, "end": 19}]}
{"role": "volunteer", "content": "anyways, we got off track lol, lets continue with page 2", "session_id": 12714, "sequence_id": 438, "annotations": []}
{"role": "student", "content": "lol yep", "session_id": 12714, "sequence_id": 439, "annotations": []}
{"role": "student", "content": "so one like #7", "session_id": 12714, "sequence_id": 440, "annotations": []}
{"role": "volunteer", "content": "kk", "session_id": 12714, "sequence_id": 441, "annotations": []}
{"role": "student", "content": "#7 and 8", "session_id": 12714, "sequence_id": 442, "annotations": []}
{"role": "student", "content": "Gonna get some water and then ill be back to work on these problems", "session_id": 12714, "sequence_id": 443, "annotations": []}
{"role": "volunteer", "content": "kk", "session_id": 12714, "sequence_id": 444, "annotations": []}
{"role": "student", "content": "back", "session_id": 12714, "sequence_id": 445, "annotations": []}
{"role": "volunteer", "content": "kk", "session_id": 12714, "sequence_id": 446, "annotations": []}
{"role": "student", "content": "so find the gcf", "session_id": 12714, "sequence_id": 447, "annotations": []}
{"role": "volunteer", "content": "we can continue with the questions", "session_id": 12714, "sequence_id": 448, "annotations": []}
{"role": "student", "content": "is it b>", "session_id": 12714, "sequence_id": 449, "annotations": []}
{"role": "student", "content": "?", "session_id": 12714, "sequence_id": 450, "annotations": []}
{"role": "volunteer", "content": "what", "session_id": 12714, "sequence_id": 451, "annotations": []}
{"role": "student", "content": "for gcf", "session_id": 12714, "sequence_id": 452, "annotations": []}
{"role": "volunteer", "content": "oh yeah its b", "session_id": 12714, "sequence_id": 453, "annotations": []}
{"role": "student", "content": "kk", "session_id": 12714, "sequence_id": 454, "annotations": []}
{"role": "student", "content": "is it 2?", "session_id": 12714, "sequence_id": 455, "annotations": []}
{"role": "student", "content": "for the second one", "session_id": 12714, "sequence_id": 456, "annotations": []}
{"role": "volunteer", "content": "wait, so you would put a^2 out of the parenthesis", "session_id": 12714, "sequence_id": 457, "annotations": []}
{"role": "volunteer", "content": "for the first one", "session_id": 12714, "sequence_id": 458, "annotations": []}
{"role": "student", "content": "ok", "session_id": 12714, "sequence_id": 459, "annotations": []}
{"role": "student", "content": "yep", "session_id": 12714, "sequence_id": 460, "annotations": []}
{"role": "volunteer", "content": "for the second one, is 36 divisible by 4", "session_id": 12714, "sequence_id": 461, "annotations": []}
{"role": "student", "content": "yes", "session_id": 12714, "sequence_id": 462, "annotations": []}
{"role": "volunteer", "content": "then you could use 4 as the divisor", "session_id": 12714, "sequence_id": 463, "annotations": []}
{"role": "student", "content": "kk", "session_id": 12714, "sequence_id": 464, "annotations": []}
{"role": "student", "content": "is this correct", "session_id": 12714, "sequence_id": 465, "annotations": []}
{"role": "student", "content": "ohh we take out a^2", "session_id": 12714, "sequence_id": 466, "annotations": []}
{"role": "student", "content": "a^2", "session_id": 12714, "sequence_id": 467, "annotations": []}
{"role": "student", "content": "not b", "session_id": 12714, "sequence_id": 468, "annotations": []}
{"role": "student", "content": "but i thought u take the smallest exponent out", "session_id": 12714, "sequence_id": 469, "annotations": []}
{"role": "volunteer", "content": "for the first one, you should put a^2 out of the parenthesis, instead of b", "session_id": 12714, "sequence_id": 470, "annotations": []}
{"role": "student", "content": "ok", "session_id": 12714, "sequence_id": 471, "annotations": []}
{"role": "volunteer", "content": "you get it? cause we have to make them equal", "session_id": 12714, "sequence_id": 472, "annotations": []}
{"role": "student", "content": "yep", "session_id": 12714, "sequence_id": 473, "annotations": []}
{"role": "volunteer", "content": "yepp that's the answer", "session_id": 12714, "sequence_id": 474, "annotations": []}
{"role": "student", "content": ":)", "session_id": 12714, "sequence_id": 475, "annotations": []}
{"role": "student", "content": "ok next one", "session_id": 12714, "sequence_id": 476, "annotations": []}
{"role": "volunteer", "content": ":)", "session_id": 12714, "sequence_id": 477, "annotations": []}
{"role": "volunteer", "content": "yea okay", "session_id": 12714, "sequence_id": 478, "annotations": []}
{"role": "student", "content": "ok soo", "session_id": 12714, "sequence_id": 479, "annotations": []}
{"role": "volunteer", "content": "what can you take out of the first one", "session_id": 12714, "sequence_id": 480, "annotations": []}
{"role": "student", "content": "make the gcf 9 for 36", "session_id": 12714, "sequence_id": 481, "annotations": []}
{"role": "student", "content": "wait no", "session_id": 12714, "sequence_id": 482, "annotations": []}
{"role": "volunteer", "content": "that's the second one", "session_id": 12714, "sequence_id": 483, "annotations": []}
{"role": "student", "content": "ok", "session_id": 12714, "sequence_id": 484, "annotations": []}
{"role": "student", "content": "first one would be 1", "session_id": 12714, "sequence_id": 485, "annotations": []}
{"role": "student", "content": "and that would be -9", "session_id": 12714, "sequence_id": 486, "annotations": []}
{"role": "student", "content": "nvm", "session_id": 12714, "sequence_id": 487, "annotations": []}
{"role": "volunteer", "content": "you sure it would be 1?", "session_id": 12714, "sequence_id": 488, "annotations": []}
{"role": "student", "content": "im tryna get them to match", "session_id": 12714, "sequence_id": 489, "annotations": []}
{"role": "volunteer", "content": "cause you can also take out variables", "session_id": 12714, "sequence_id": 490, "annotations": []}
{"role": "student", "content": "oh x", "session_id": 12714, "sequence_id": 491, "annotations": []}
{"role": "student", "content": "x is basically 1", "session_id": 12714, "sequence_id": 492, "annotations": []}
{"role": "volunteer", "content": "so you could write the first one as (4x", "session_id": 12714, "sequence_id": 493, "annotations": []}
{"role": "volunteer", "content": "(x4x^2-1)", "session_id": 12714, "sequence_id": 494, "annotations": []}
{"role": "volunteer", "content": "bro I cant typee", "session_id": 12714, "sequence_id": 495, "annotations": []}
{"role": "volunteer", "content": "sorry", "session_id": 12714, "sequence_id": 496, "annotations": []}
{"role": "student", "content": "lol its fine so x would be on the outside", "session_id": 12714, "sequence_id": 497, "annotations": []}
{"role": "volunteer", "content": "x(4x^2-1)", "session_id": 12714, "sequence_id": 498, "annotations": []}
{"role": "volunteer", "content": "yeah its on the outside", "session_id": 12714, "sequence_id": 499, "annotations": []}
{"role": "volunteer", "content": "so does that equalize the sides?", "session_id": 12714, "sequence_id": 500, "annotations": []}
{"role": "student", "content": "36/9 is 4", "session_id": 12714, "sequence_id": 501, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 12714, "sequence_id": 502, "annotations": []}
{"role": "volunteer", "content": "so how would u write it?", "session_id": 12714, "sequence_id": 503, "annotations": []}
{"role": "student", "content": "(x+9)(4x^2-1)", "session_id": 12714, "sequence_id": 504, "annotations": []}
{"role": "volunteer", "content": "(x-9) cause the 9 is negative", "session_id": 12714, "sequence_id": 505, "annotations": []}
{"role": "student", "content": "oh right", "session_id": 12714, "sequence_id": 506, "annotations": []}
{"role": "volunteer", "content": "yeah", "session_id": 12714, "sequence_id": 507, "annotations": []}
{"role": "volunteer", "content": "so problem 9 now?", "session_id": 12714, "sequence_id": 508, "annotations": []}
{"role": "student", "content": "yes", "session_id": 12714, "sequence_id": 509, "annotations": []}
{"role": "volunteer", "content": "kk", "session_id": 12714, "sequence_id": 510, "annotations": []}
{"role": "volunteer", "content": "one or two problems", "session_id": 12714, "sequence_id": 511, "annotations": []}
{"role": "student", "content": "we can do one", "session_id": 12714, "sequence_id": 512, "annotations": []}
{"role": "volunteer", "content": "okayy", "session_id": 12714, "sequence_id": 513, "annotations": []}
{"role": "student", "content": "gcf is 3", "session_id": 12714, "sequence_id": 514, "annotations": []}
{"role": "student", "content": "oh wait no", "session_id": 12714, "sequence_id": 515, "annotations": []}
{"role": "volunteer", "content": "for which one", "session_id": 12714, "sequence_id": 516, "annotations": []}
{"role": "student", "content": "its a^2+3a+9", "session_id": 12714, "sequence_id": 517, "annotations": []}
{"role": "student", "content": "3a+3a", "session_id": 12714, "sequence_id": 518, "annotations": []}
{"role": "student", "content": "3x3=9", "session_id": 12714, "sequence_id": 519, "annotations": []}
{"role": "student", "content": "3+3=6", "session_id": 12714, "sequence_id": 520, "annotations": []}
{"role": "volunteer", "content": "yeah", "session_id": 12714, "sequence_id": 521, "annotations": []}
{"role": "volunteer", "content": "so what's the result", "session_id": 12714, "sequence_id": 522, "annotations": []}
{"role": "student", "content": "so it'd be a^2+3a+3a+9+4b^2?", "session_id": 12714, "sequence_id": 523, "annotations": []}
{"role": "volunteer", "content": "-4b^2", "session_id": 12714, "sequence_id": 524, "annotations": []}
{"role": "volunteer", "content": "but yeah", "session_id": 12714, "sequence_id": 525, "annotations": []}
{"role": "student", "content": "wait can u write this on the board", "session_id": 12714, "sequence_id": 526, "annotations": []}
{"role": "volunteer", "content": "sure", "session_id": 12714, "sequence_id": 527, "annotations": []}
{"role": "student", "content": "so basically find the gcf excluding 4", "session_id": 12714, "sequence_id": 528, "annotations": []}
{"role": "volunteer", "content": "and what would be the factor of the first three terms", "session_id": 12714, "sequence_id": 529, "annotations": []}
{"role": "volunteer", "content": "yeah that's what it is", "session_id": 12714, "sequence_id": 530, "annotations": []}
{"role": "student", "content": "ok", "session_id": 12714, "sequence_id": 531, "annotations": []}
{"role": "student", "content": "is this right?", "session_id": 12714, "sequence_id": 532, "annotations": []}
{"role": "volunteer", "content": "you could divide the first two terms by a", "session_id": 12714, "sequence_id": 533, "annotations": []}
{"role": "volunteer", "content": "not only 1", "session_id": 12714, "sequence_id": 534, "annotations": []}
{"role": "volunteer", "content": "you don't have to write the 1 if its in front of a variable", "session_id": 12714, "sequence_id": 535, "annotations": []}
{"role": "student", "content": "ok", "session_id": 12714, "sequence_id": 536, "annotations": []}
{"role": "student", "content": "so its 1a(a+3)+3(a+3)?", "session_id": 12714, "sequence_id": 537, "annotations": []}
{"role": "volunteer", "content": "yeah", "session_id": 12714, "sequence_id": 538, "annotations": []}
{"role": "volunteer", "content": "and what would it be when simplified", "session_id": 12714, "sequence_id": 539, "annotations": []}
{"role": "student", "content": "(1a+3)(a+3)", "session_id": 12714, "sequence_id": 540, "annotations": []}
{"role": "volunteer", "content": "yeah and you can remove the 1", "session_id": 12714, "sequence_id": 541, "annotations": []}
{"role": "student", "content": "now page 4", "session_id": 12714, "sequence_id": 542, "annotations": []}
{"role": "volunteer", "content": "and that would make it (a+3)^2, right?", "session_id": 12714, "sequence_id": 543, "annotations": []}
{"role": "student", "content": "waitt what", "session_id": 12714, "sequence_id": 544, "annotations": []}
{"role": "student", "content": "now im confused lol", "session_id": 12714, "sequence_id": 545, "annotations": []}
{"role": "student", "content": "oh yeah i forgot about the 4b", "session_id": 12714, "sequence_id": 546, "annotations": []}
{"role": "volunteer", "content": "cause look, if you remove the one, it would become (a+3)(a+3), right?", "session_id": 12714, "sequence_id": 547, "annotations": []}
{"role": "volunteer", "content": "you could put that as", "session_id": 12714, "sequence_id": 548, "annotations": []}
{"role": "volunteer", "content": "^2", "session_id": 12714, "sequence_id": 549, "annotations": []}
{"role": "student", "content": "wait can u rewrite it out with the 4b^2", "session_id": 12714, "sequence_id": 550, "annotations": []}
{"role": "student", "content": "-4b^2", "session_id": 12714, "sequence_id": 551, "annotations": []}
{"role": "volunteer", "content": "kk", "session_id": 12714, "sequence_id": 552, "annotations": []}
{"role": "volunteer", "content": "can u see it", "session_id": 12714, "sequence_id": 553, "annotations": []}
{"role": "student", "content": "mhm", "session_id": 12714, "sequence_id": 554, "annotations": []}
{"role": "student", "content": "ohh i se makes sense so thats how the answer?", "session_id": 12714, "sequence_id": 555, "annotations": []}
{"role": "volunteer", "content": "the answer, you could write it like this", "session_id": 12714, "sequence_id": 556, "annotations": []}
{"role": "student", "content": "yep", "session_id": 12714, "sequence_id": 557, "annotations": []}
{"role": "student", "content": "ok now page 5", "session_id": 12714, "sequence_id": 558, "annotations": []}
{"role": "student", "content": "*4", "session_id": 12714, "sequence_id": 559, "annotations": []}
{"role": "volunteer", "content": "kk", "session_id": 12714, "sequence_id": 560, "annotations": []}
{"role": "volunteer", "content": "two questions for this page?", "session_id": 12714, "sequence_id": 561, "annotations": []}
{"role": "student", "content": "mhm", "session_id": 12714, "sequence_id": 562, "annotations": []}
{"role": "volunteer", "content": "okayy", "session_id": 12714, "sequence_id": 563, "annotations": []}
{"role": "student", "content": "so the answer is", "session_id": 12714, "sequence_id": 564, "annotations": []}
{"role": "student", "content": "(4a-1)(16a^2+4a+1)?", "session_id": 12714, "sequence_id": 565, "annotations": []}
{"role": "volunteer", "content": "yepp", "session_id": 12714, "sequence_id": 566, "annotations": []}
{"role": "volunteer", "content": "can you tell me how you got it", "session_id": 12714, "sequence_id": 567, "annotations": []}
{"role": "volunteer", "content": "just simply", "session_id": 12714, "sequence_id": 568, "annotations": []}
{"role": "student", "content": "u do 4 times 4 since its squared", "session_id": 12714, "sequence_id": 569, "annotations": []}
{"role": "student", "content": "and then 4 times for a(b) and then 1 times 1 since its just c times itself", "session_id": 12714, "sequence_id": 570, "annotations": []}
{"role": "volunteer", "content": "yeah", "session_id": 12714, "sequence_id": 571, "annotations": []}
{"role": "student", "content": "now the next one", "session_id": 12714, "sequence_id": 572, "annotations": []}
{"role": "student", "content": "so it'd just be (m)^9?", "session_id": 12714, "sequence_id": 573, "annotations": []}
{"role": "volunteer", "content": "what is the gcf of 9 and 12", "session_id": 12714, "sequence_id": 574, "annotations": []}
{"role": "student", "content": "3", "session_id": 12714, "sequence_id": 575, "annotations": []}
{"role": "student", "content": "so (m^3)^9?", "session_id": 12714, "sequence_id": 576, "annotations": []}
{"role": "volunteer", "content": "no, you would divide both of the powers by three", "session_id": 12714, "sequence_id": 577, "annotations": []}
{"role": "student", "content": "so its just m", "session_id": 12714, "sequence_id": 578, "annotations": []}
{"role": "student", "content": "n becomes 4", "session_id": 12714, "sequence_id": 579, "annotations": []}
{"role": "volunteer", "content": "no it would be m^3 and 6n^4", "session_id": 12714, "sequence_id": 580, "annotations": []}
{"role": "volunteer", "content": "do you want me to explain how", "session_id": 12714, "sequence_id": 581, "annotations": []}
{"role": "student", "content": "uh yeah", "session_id": 12714, "sequence_id": 582, "annotations": []}
{"role": "student", "content": "yeah i said that", "session_id": 12714, "sequence_id": 583, "annotations": []}
{"role": "volunteer", "content": "so we are trying to put 3 out of the parenthesis, if we do that, m would be to the third power, and because 216=6^3, it would become 6, and n would be to the fourth power", "session_id": 12714, "sequence_id": 584, "annotations": []}
{"role": "student", "content": "so its( m^3-6)", "session_id": 12714, "sequence_id": 585, "annotations": []}
{"role": "student", "content": "yep", "session_id": 12714, "sequence_id": 586, "annotations": []}
{"role": "volunteer", "content": "m^3-6n^4", "session_id": 12714, "sequence_id": 587, "annotations": []}
{"role": "student", "content": "mhm", "session_id": 12714, "sequence_id": 588, "annotations": []}
{"role": "student", "content": "oh right its 4", "session_id": 12714, "sequence_id": 589, "annotations": []}
{"role": "volunteer", "content": "you know the difference of cubes formula?", "session_id": 12714, "sequence_id": 590, "annotations": []}
{"role": "student", "content": "yes", "session_id": 12714, "sequence_id": 591, "annotations": []}
{"role": "volunteer", "content": "can you type it out for me", "session_id": 12714, "sequence_id": 592, "annotations": []}
{"role": "student", "content": "so its m-6", "session_id": 12714, "sequence_id": 593, "annotations": []}
{"role": "student", "content": "and then m times m is just m^2", "session_id": 12714, "sequence_id": 594, "annotations": []}
{"role": "volunteer", "content": "we need the formula to solve the problem", "session_id": 12714, "sequence_id": 595, "annotations": []}
{"role": "student", "content": "is it this?", "session_id": 12714, "sequence_id": 596, "annotations": []}
{"role": "volunteer", "content": "not really", "session_id": 12714, "sequence_id": 597, "annotations": []}
{"role": "student", "content": "oh", "session_id": 12714, "sequence_id": 598, "annotations": []}
{"role": "volunteer", "content": "does this explain it", "session_id": 12714, "sequence_id": 599, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 12714, "sequence_id": 600, "annotations": []}
{"role": "volunteer", "content": "and then that is the next step", "session_id": 12714, "sequence_id": 601, "annotations": []}
{"role": "student", "content": "oh.. this looks diff", "session_id": 12714, "sequence_id": 602, "annotations": []}
{"role": "volunteer", "content": "it is because it is not simplified yet, and we are using the formula", "session_id": 12714, "sequence_id": 603, "annotations": []}
{"role": "student", "content": "ohhh ok makes sense", "session_id": 12714, "sequence_id": 604, "annotations": []}
{"role": "student", "content": "so its m^6", "session_id": 12714, "sequence_id": 605, "annotations": []}
{"role": "volunteer", "content": "yeah", "session_id": 12714, "sequence_id": 606, "annotations": []}
{"role": "volunteer", "content": "so how would u write the final result after the last step", "session_id": 12714, "sequence_id": 607, "annotations": []}
{"role": "student", "content": "(m-6n)+m^6+6n^12+6n^8?", "session_id": 12714, "sequence_id": 608, "annotations": []}
{"role": "volunteer", "content": "when you distribute all the terms are multiplied", "session_id": 12714, "sequence_id": 609, "annotations": []}
{"role": "volunteer", "content": "like in the first one it is m^6 right?", "session_id": 12714, "sequence_id": 610, "annotations": []}
{"role": "student", "content": "Alex can u write it out on the whiteboard", "session_id": 12714, "sequence_id": 611, "annotations": [{"pii_type": "PERSON", "surrogate": "Alex", "start": 0, "end": 4}]}
{"role": "volunteer", "content": "kk", "session_id": 12714, "sequence_id": 612, "annotations": []}
{"role": "volunteer", "content": "soo", "session_id": 12714, "sequence_id": 613, "annotations": []}
{"role": "volunteer", "content": "can you complete them for me", "session_id": 12714, "sequence_id": 614, "annotations": []}
{"role": "student", "content": "So would it be 6nm^12", "session_id": 12714, "sequence_id": 615, "annotations": []}
{"role": "volunteer", "content": "no because they are not the same variables", "session_id": 12714, "sequence_id": 616, "annotations": []}
{"role": "volunteer", "content": "it would be 6m^3n^4", "session_id": 12714, "sequence_id": 617, "annotations": []}
{"role": "volunteer", "content": "because we are just putting them together", "session_id": 12714, "sequence_id": 618, "annotations": []}
{"role": "volunteer", "content": "do you get it?", "session_id": 12714, "sequence_id": 619, "annotations": []}
{"role": "student", "content": "ohh ok", "session_id": 12714, "sequence_id": 620, "annotations": []}
{"role": "volunteer", "content": "can you complete them now", "session_id": 12714, "sequence_id": 621, "annotations": []}
{"role": "volunteer", "content": "on the white board", "session_id": 12714, "sequence_id": 622, "annotations": []}
{"role": "student", "content": "umm im kinda confusing", "session_id": 12714, "sequence_id": 623, "annotations": []}
{"role": "volunteer", "content": "on which part", "session_id": 12714, "sequence_id": 624, "annotations": []}
{"role": "volunteer", "content": "?", "session_id": 12714, "sequence_id": 625, "annotations": []}
{"role": "student", "content": "like all of it", "session_id": 12714, "sequence_id": 626, "annotations": []}
{"role": "volunteer", "content": "so first, you know how its a^3-b^3", "session_id": 12714, "sequence_id": 627, "annotations": []}
{"role": "volunteer", "content": "we are tryna get a-b, and that's why we divided both sides by 3", "session_id": 12714, "sequence_id": 628, "annotations": []}
{"role": "student", "content": "wait can u write it out simplified and then ill see if i get it", "session_id": 12714, "sequence_id": 629, "annotations": []}
{"role": "student", "content": "based off of the formula", "session_id": 12714, "sequence_id": 630, "annotations": []}
{"role": "volunteer", "content": "the final result?", "session_id": 12714, "sequence_id": 631, "annotations": []}
{"role": "student", "content": "yes", "session_id": 12714, "sequence_id": 632, "annotations": []}
{"role": "volunteer", "content": "okay", "session_id": 12714, "sequence_id": 633, "annotations": []}
{"role": "volunteer", "content": "the red one is the answer", "session_id": 12714, "sequence_id": 634, "annotations": []}
{"role": "student", "content": "ok let me look", "session_id": 12714, "sequence_id": 635, "annotations": []}
{"role": "student", "content": "i thought it'd be 3n^2", "session_id": 12714, "sequence_id": 636, "annotations": []}
{"role": "student", "content": "oh nvm", "session_id": 12714, "sequence_id": 637, "annotations": []}
{"role": "volunteer", "content": "which one", "session_id": 12714, "sequence_id": 638, "annotations": []}
{"role": "volunteer", "content": "oh okay", "session_id": 12714, "sequence_id": 639, "annotations": []}
{"role": "student", "content": "ok this makes sense", "session_id": 12714, "sequence_id": 640, "annotations": []}
{"role": "volunteer", "content": "did you understand it better now?", "session_id": 12714, "sequence_id": 641, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 12714, "sequence_id": 642, "annotations": []}
{"role": "volunteer", "content": "so are we good for this question?", "session_id": 12714, "sequence_id": 643, "annotations": []}
{"role": "student", "content": "yes", "session_id": 12714, "sequence_id": 644, "annotations": []}
{"role": "volunteer", "content": "okay, then lets go to the next one", "session_id": 12714, "sequence_id": 645, "annotations": []}
{"role": "student", "content": "kk", "session_id": 12714, "sequence_id": 646, "annotations": []}
{"role": "volunteer", "content": "oh wait so which question are we doing next", "session_id": 12714, "sequence_id": 647, "annotations": []}
{"role": "volunteer", "content": "?", "session_id": 12714, "sequence_id": 648, "annotations": []}
{"role": "student", "content": "we are doing 12 & 13", "session_id": 12714, "sequence_id": 649, "annotations": []}
{"role": "volunteer", "content": "mmk", "session_id": 12714, "sequence_id": 650, "annotations": []}
{"role": "volunteer", "content": "one for each?", "session_id": 12714, "sequence_id": 651, "annotations": []}
{"role": "student", "content": "mhm", "session_id": 12714, "sequence_id": 652, "annotations": []}
{"role": "volunteer", "content": "kk", "session_id": 12714, "sequence_id": 653, "annotations": []}
{"role": "student", "content": "if im confused then 2", "session_id": 12714, "sequence_id": 654, "annotations": []}
{"role": "volunteer", "content": "kk", "session_id": 12714, "sequence_id": 655, "annotations": []}
{"role": "student", "content": "(2z^3)(1/3)^3", "session_id": 12714, "sequence_id": 656, "annotations": []}
{"role": "volunteer", "content": "so what's a and b", "session_id": 12714, "sequence_id": 657, "annotations": []}
{"role": "student", "content": "2z^3+1/3?", "session_id": 12714, "sequence_id": 658, "annotations": []}
{"role": "volunteer", "content": "yeah that's the a+b part", "session_id": 12714, "sequence_id": 659, "annotations": []}
{"role": "student", "content": "actually I have to go, I'm going to get in the shower. I will do this problem when I get back on. Thank you so much for your help!", "session_id": 12714, "sequence_id": 660, "annotations": []}
{"role": "student", "content": "i will favorite you as a coach", "session_id": 12714, "sequence_id": 661, "annotations": []}
{"role": "student", "content": "so you can see ifi request", "session_id": 12714, "sequence_id": 662, "annotations": []}
{"role": "volunteer", "content": "thank you for listening and paying attention too", "session_id": 12714, "sequence_id": 663, "annotations": []}
{"role": "volunteer", "content": "hi Alex what can I help you with today?", "session_id": 12963, "sequence_id": 0, "annotations": [{"pii_type": "PERSON", "surrogate": "Alex", "start": 3, "end": 7}]}
{"role": "student", "content": "How do you solve 2m=-6n-5", "session_id": 12963, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "are you sure you typed that in correctly?", "session_id": 12963, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "Fully sure. i dont think we are solving but rewriting to solve for m", "session_id": 12963, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "oh ok, i was confusing because there are two different variables haha", "session_id": 12963, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "confused*", "session_id": 12963, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "to solve for m", "session_id": 12963, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "divide both sides by 2", "session_id": 12963, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "since 2m is already isolated we dont need to move things to the oter side?", "session_id": 12963, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "correct!", "session_id": 12963, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "the m term is all by itself on one side", "session_id": 12963, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "therefore all we have to do is divide", "session_id": 12963, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "can we leave the answer like that?", "session_id": 12963, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "yes, but keep in mind that it can be broken down into two different terms", "session_id": 12963, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "is it nesscearoy because my teacher left it like that for other equations", "session_id": 12963, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "if your teacher left it like that, then it is definitely not necessary", "session_id": 12963, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "both are correct answer at the end of the day", "session_id": 12963, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "answers*", "session_id": 12963, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "ok now 4n-6m=-2", "session_id": 12963, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "so this time, we need to isolate the m term, so we need to subtract 4n from both sides", "session_id": 12963, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "next, to solve for m, we need to isolate m just like we did earlier, so we divide by -6", "session_id": 12963, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "in this one, the solution can be simplified even more by dividing every term by -2, and although i am not sure if you're teacher wants that, the numbers are just smaller and look more simple", "session_id": 12963, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "ok now 10m+6n=12", "session_id": 12963, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "last one", "session_id": 12963, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "of course", "session_id": 12963, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "you should do this one with me", "session_id": 12963, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "what do we do first?", "session_id": 12963, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "good so far?", "session_id": 12963, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "nice job, just don't forget to add -6n on the left side", "session_id": 12963, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "right*", "session_id": 12963, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "sorry", "session_id": 12963, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "now isolate m", "session_id": 12963, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "good job man", "session_id": 12963, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "you could simplify it just like the previous problem, but that is also correct", "session_id": 12963, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "do you have any other questions?", "session_id": 12963, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "is it ok if you repeat a problem that i forgot to write down", "session_id": 12963, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "sure thing", "session_id": 12963, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "what's the problem?", "session_id": 12963, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "4n-6m=-2", "session_id": 12963, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "did it!", "session_id": 12963, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "ok thats all thank you", "session_id": 12963, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "no problem man", "session_id": 12963, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "any time", "session_id": 12963, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "have a great day", "session_id": 12963, "sequence_id": 43, "annotations": []}
{"role": "student", "content": "goodbye", "session_id": 12963, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "you too, bye!", "session_id": 12963, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "Hello Anna", "session_id": 16547, "sequence_id": 0, "annotations": [{"pii_type": "PERSON", "surrogate": "Anna", "start": 6, "end": 10}]}
{"role": "student", "content": "Ben , sorry I\u2019m in this geometry chat because I really need help with drawing/ labeling a pie chart for my homework and I have been 2 hours waiting in the statistics section and no one has helped me , I was wondering if you would be able to help \u2026", "session_id": 16547, "sequence_id": 1, "annotations": [{"pii_type": "PERSON", "surrogate": "Ben", "start": 0, "end": 3}]}
{"role": "volunteer", "content": "Sure Anna. I can definitely help you with this", "session_id": 16547, "sequence_id": 2, "annotations": [{"pii_type": "PERSON", "surrogate": "Anna", "start": 5, "end": 9}]}
{"role": "volunteer", "content": "Do you have the question?", "session_id": 16547, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "Yes I can upload the information on the board ", "session_id": 16547, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "White board ", "session_id": 16547, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "Sure, go ahead", "session_id": 16547, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "That is what I have so far ", "session_id": 16547, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "So, is it the first question right? Drawing the pie chart", "session_id": 16547, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "Yess I think so ", "session_id": 16547, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "Can you tell me if you are aware of the steps?", "session_id": 16547, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "I still need to do 4 percent , 22 percent , 26 percent , and 9 percent ", "session_id": 16547, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "Yes I am , it\u2019s just that since I don\u2019t know how to really use the protractor I am having a super hard time labeling the pie chart ", "session_id": 16547, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "But I know how to do everything except that ", "session_id": 16547, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "Ok, so you have flying done which 140 degrees and is correct. So great job there!", "session_id": 16547, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "Now, for Telepathy what is the degree?", "session_id": 16547, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "14 ", "session_id": 16547, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "That's right. So, now how would you plot this on the chart?", "session_id": 16547, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "Im not sure to be honest, that is what I need help with lol \ud83d\ude13", "session_id": 16547, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "To plot 14 degrees, you can keep the base line of the protractor and make it coincide with any one of the lines you have drawn for the flying portion.", "session_id": 16547, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "Does this make sense to you?", "session_id": 16547, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "Not really , can you please demonstrate it to me on the whiteboard if you don\u2019t mind \u2026?", "session_id": 16547, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "yes - are you able to see?", "session_id": 16547, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "Yes ", "session_id": 16547, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "So how do I know where 14 is at \u2026", "session_id": 16547, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "protractor has angles from 0 180 degrees.\nthere will be markings at intervals of 10 degree with smaller internal marking of each 1 degree", "session_id": 16547, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "I am drawing below your sheet also. Please check that", "session_id": 16547, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "Are you there?", "session_id": 16547, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "Like that ? ", "session_id": 16547, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "Yes ", "session_id": 16547, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "Yes, something like that.", "session_id": 16547, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "So that would be 4 percent right ", "session_id": 16547, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "But can you check for me once if the flying angle 140 degrees on protractor?", "session_id": 16547, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "It looks slightly more 140 degrees", "session_id": 16547, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "yes so the 14 degrees for telepathy corresponds to 4%", "session_id": 16547, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "Oh , I just estimated but I\u2019m not too sure , it\u2019s my first time using a protractor and learning this \u2026. ", "session_id": 16547, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "ok no worries - I understood", "session_id": 16547, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "Yeah , that is why I need like extra help correcting or learning how to place dots to make the lines equal to the percentages and all ", "session_id": 16547, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "Yes, there might be confusion during first time and that's what we want to learn and I will explain you", "session_id": 16547, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "Let's start again:\n\nSo yeah, using your protractor now try measuring 140 degrees - there will be clear markings for the degrees", "session_id": 16547, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "It 140 degrees on the big numbers of the protractor ", "session_id": 16547, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "ok fine.", "session_id": 16547, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "1) Keep the horizontal line fixed\n\n2) place your protractor's horizontal base line on the  above pencil drawn horizontal line.\n\n3) Make sure your protractor's center coincides with the circle's center dot.", "session_id": 16547, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "are you there?", "session_id": 16547, "sequence_id": 43, "annotations": []}
{"role": "student", "content": "Yea", "session_id": 16547, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "Next is the 22 percent one ", "session_id": 16547, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "Which is 79 degrees ", "session_id": 16547, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "ok - go ahead and try", "session_id": 16547, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "can you poste again? Seems like the whiteboard is not working for me", "session_id": 16547, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "Is that good ? ", "session_id": 16547, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "yes - looks good - nice work!", "session_id": 16547, "sequence_id": 50, "annotations": []}
{"role": "student", "content": "I also I may have to go in 20 minutes since it\u2019s past my bed time for school tmrw \u2026.", "session_id": 16547, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "but again - seems like the degrees are looking greater to me.", "session_id": 16547, "sequence_id": 52, "annotations": []}
{"role": "student", "content": "Idk I\u2019m js trying to put it where it said 79 on the protractor ", "session_id": 16547, "sequence_id": 53, "annotations": []}
{"role": "student", "content": "Because I still need 26 percent and 9 percent ", "session_id": 16547, "sequence_id": 54, "annotations": []}
{"role": "student", "content": "After 22 percent ", "session_id": 16547, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "you will need to plot 94 dgerees and 32 degrees, right?", "session_id": 16547, "sequence_id": 56, "annotations": []}
{"role": "student", "content": "Ben and where do I put 79 degrees at too ", "session_id": 16547, "sequence_id": 57, "annotations": [{"pii_type": "PERSON", "surrogate": "Ben", "start": 0, "end": 3}]}
{"role": "volunteer", "content": "you marked 79 on the chart, right - label it with the corresponding superpower", "session_id": 16547, "sequence_id": 58, "annotations": []}
{"role": "student", "content": "Where I put the black question mark ", "session_id": 16547, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "I did not understand?", "session_id": 16547, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "The black question mark is 79 degrees, right?", "session_id": 16547, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "Then it is fine.", "session_id": 16547, "sequence_id": 62, "annotations": []}
{"role": "student", "content": "Yeah where I put the black question mark on the white board picture I uploaded ", "session_id": 16547, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "I saw the question mark - but what is the issue there? that ? should be labeled with the corresponding superpower", "session_id": 16547, "sequence_id": 64, "annotations": []}
{"role": "student", "content": "Okay got it ", "session_id": 16547, "sequence_id": 65, "annotations": []}
{"role": "student", "content": "Now 94 degrees ", "session_id": 16547, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "yes, repeat the same process and mark it", "session_id": 16547, "sequence_id": 67, "annotations": []}
{"role": "student", "content": "Right there ? ", "session_id": 16547, "sequence_id": 68, "annotations": []}
{"role": "student", "content": "Right there ? ", "session_id": 16547, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "No, it is incorrect. Do you see the problem?\nYour 79 degrees for time travel looks more that 94 degrees", "session_id": 16547, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "79 < 94 , so the pie for time travel should be smaller than the pie for 94 degrees.\nDoes this make sense?", "session_id": 16547, "sequence_id": 71, "annotations": []}
{"role": "student", "content": "Yes , but can you show me where I should put the dots at ", "session_id": 16547, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "1) Keep the horizontal line fixed\n\n2) place your protractor's horizontal base line on the above pencil drawn horizontal line.\n\n3) Make sure your protractor's center coincides with the circle's center dot.\n\n\nDid you try following this?", "session_id": 16547, "sequence_id": 73, "annotations": []}
{"role": "student", "content": "Sorry it\u2019s just that I have 2 hours doing this and I just want to be done and go to sleep now honestly  \ud83e\udee0", "session_id": 16547, "sequence_id": 74, "annotations": []}
{"role": "volunteer", "content": "check the whiteboard", "session_id": 16547, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "did you understand?", "session_id": 16547, "sequence_id": 76, "annotations": []}
{"role": "student", "content": "Yes so which line do I erase now ", "session_id": 16547, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "you might have to try doing it again for all - if not do for 79 degrees atleast", "session_id": 16547, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "It still does not look right. And why do we have 6 pies now?\n\n0 will not be necessary.", "session_id": 16547, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "Unless it has a video, it is difficult for me also to explain by demonstration.", "session_id": 16547, "sequence_id": 80, "annotations": []}
{"role": "student", "content": "Oh okay , thank you for all your help tho ", "session_id": 16547, "sequence_id": 81, "annotations": []}
{"role": "volunteer", "content": "no worries! Happy to help", "session_id": 16547, "sequence_id": 82, "annotations": []}
{"role": "volunteer", "content": "If you liked my explanation, mark me as your favorite!\nThank you!", "session_id": 16547, "sequence_id": 83, "annotations": []}
{"role": "student", "content": "Okay, I need help with proofs today", "session_id": 16643, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "Okay, I need help with proofs today", "session_id": 16643, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "Ok", "session_id": 16643, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "Hello!", "session_id": 16643, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "Yep, it's me!", "session_id": 16643, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "So, I need help with proofs in geometry today", "session_id": 16643, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "I got this homework assignment and I don\u2019t understand it that well", "session_id": 16643, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "Fire away", "session_id": 16643, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "How do I know the process of proving something? Like how is it structured ", "session_id": 16643, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "Because I feel like I just want to go straight from what is given to what needs to be proved", "session_id": 16643, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "Well, whats the problem?", "session_id": 16643, "sequence_id": 10, "annotations": []}
{"role": "student", "content": " Can I send photos?", "session_id": 16643, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "Leo", "session_id": 16643, "sequence_id": 12, "annotations": [{"pii_type": "PERSON", "surrogate": "Leo", "start": 0, "end": 3}]}
{"role": "student", "content": "How?", "session_id": 16643, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "I think you gotta upload them", "session_id": 16643, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "I added it to the whiteboard, can you see it?", "session_id": 16643, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "Yes", "session_id": 16643, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "So how would I solve #11?", "session_id": 16643, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "And the X's indicate homework problems?", "session_id": 16643, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "The X\u2019s indicate ones I shouldn\u2019t do", "session_id": 16643, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "The X\u2019s indicate ones I shouldn\u2019t do", "session_id": 16643, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "Oh", "session_id": 16643, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "So just 11 and 13", "session_id": 16643, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "How would I start #11?", "session_id": 16643, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "Let me see", "session_id": 16643, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "I hope you don't mind, but the answer I have doesn't have use any  theorems or anything", "session_id": 16643, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "Any updates?", "session_id": 16643, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "Since Y is the midpoint of ZX, that means that ZY is congruent to YX. Since V is the midpoint of TW, that means that TV is congruent to VW.", "session_id": 16643, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "And since is says that XY is congruent to VW, that means that YZ is congruent to VW. Basically, XY, YZ, TV, and VW are all congruent", "session_id": 16643, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "SX=SZ+ZY+YX\n\nand since YX is congruent to VW,\n\ngiven that SW=ST+TV+VW,\n\nwe can say that SX is congruent to SW", "session_id": 16643, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "As for the other problem", "session_id": 16643, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "Given that angles 1 and 2 are congruent, it is safe to say that their supplements (ABF and DCF) are congruent as well", "session_id": 16643, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "And since rays BG and CE bisect ABF and DCF, that means that ABG, angle CBG (aka angle 3), FCE (aka 4), and ECD are congruent to each other", "session_id": 16643, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "Therefore, angles 3 and 4 are congruent", "session_id": 16643, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "Would there be any postulates and theorems that would have to be mentioned?", "session_id": 16643, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "Like TV could be congruent to ZY because of reflective postulate or something?", "session_id": 16643, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "Sure, I suppose", "session_id": 16643, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "Or maybe the definition of midpoint", "session_id": 16643, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "Ayyyyy we\u2019re eating this uppppp", "session_id": 16643, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "hi", "session_id": 13750, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "do you need help with math?", "session_id": 13750, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "Yes I do.", "session_id": 13750, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 13750, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "ok thanks", "session_id": 13750, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "I see it", "session_id": 13750, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "are you working on #19?", "session_id": 13750, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "Yes I am", "session_id": 13750, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "ok, this is a tough one!", "session_id": 13750, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "I see some 90 degrees angles", "session_id": 13750, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "that should help", "session_id": 13750, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "do you have an idea where to start?", "session_id": 13750, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "Not really", "session_id": 13750, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "ok I think I got it", "session_id": 13750, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "first thing to do is look at triangle HDF", "session_id": 13750, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "I outlined it, do you see?", "session_id": 13750, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "Yes sir", "session_id": 13750, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "ok great", "session_id": 13750, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "so we know 2 of the angles of this triangle", "session_id": 13750, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "the 90 and the 19 right?", "session_id": 13750, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "Right", "session_id": 13750, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "so the third angle will 180 - (90 +19) ok?", "session_id": 13750, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "Ok", "session_id": 13750, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "how much is that?", "session_id": 13750, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "109", "session_id": 13750, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "90+19 = 109", "session_id": 13750, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "so the 3rd angle 180 - 109", "session_id": 13750, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "Oh sorry I typically", "session_id": 13750, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "= 71", "session_id": 13750, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "does that make sense?", "session_id": 13750, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "Sorry I typed it in my calculator wrong*", "session_id": 13750, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "that's ok", "session_id": 13750, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "Yes it does", "session_id": 13750, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "ok great", "session_id": 13750, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "so we can write in the missing angle at F = 71 - 27", "session_id": 13750, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "44 ok?", "session_id": 13750, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "Ok", "session_id": 13750, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "ok so now look at triangle EIF I'll draw it in green", "session_id": 13750, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "see it?", "session_id": 13750, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "Yes sir", "session_id": 13750, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "ok, so the angle at I is a right angle", "session_id": 13750, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "ok?", "session_id": 13750, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "Ok", "session_id": 13750, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "so now we can write an equation that will allow us to find x", "session_id": 13750, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "we have 2 angles of the green triangle 90 and 71", "session_id": 13750, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "so together they add up to 161", "session_id": 13750, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "what will the 3rd angle of the green triangle be then?", "session_id": 13750, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "19", "session_id": 13750, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "yes! excellent!", "session_id": 13750, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "so what will our equation to find x be?", "session_id": 13750, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "can you write it on the board?", "session_id": 13750, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "or you can write it here if you like", "session_id": 13750, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "17x-7=19+44", "session_id": 13750, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "almost", "session_id": 13750, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "the angle in green is 17x - 7 and that is equal to 19", "session_id": 13750, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "so it's just 17x-7 = 19", "session_id": 13750, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "make sense?", "session_id": 13750, "sequence_id": 56, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 13750, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "so add 7 to both sides", "session_id": 13750, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "and we get 17x = ?", "session_id": 13750, "sequence_id": 59, "annotations": []}
{"role": "student", "content": "26", "session_id": 13750, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "right!", "session_id": 13750, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "so x = ?", "session_id": 13750, "sequence_id": 62, "annotations": []}
{"role": "student", "content": "26/17?", "session_id": 13750, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "yes! exactly", "session_id": 13750, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "it's a strange fraction, but that's the answer", "session_id": 13750, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "I hope!", "session_id": 13750, "sequence_id": 66, "annotations": []}
{"role": "student", "content": "Ok", "session_id": 13750, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "Is this homework?", "session_id": 13750, "sequence_id": 68, "annotations": []}
{"role": "student", "content": "It is", "session_id": 13750, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "I'm pretty sure 26/17 is correct", "session_id": 13750, "sequence_id": 70, "annotations": []}
{"role": "student", "content": "Ok", "session_id": 13750, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "do you want to do the next one?", "session_id": 13750, "sequence_id": 72, "annotations": []}
{"role": "student", "content": "Yes please", "session_id": 13750, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "hhm wait I think there is a problem with that last one sorry'", "session_id": 13750, "sequence_id": 74, "annotations": []}
{"role": "student", "content": "Oh ok", "session_id": 13750, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "I didn't see the \"incenter\" part on the question", "session_id": 13750, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "do you know what that means?", "session_id": 13750, "sequence_id": 77, "annotations": []}
{"role": "student", "content": "Not really", "session_id": 13750, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "here's a definition", "session_id": 13750, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "The incenter of a triangle is the intersection point of the three angle bisectors. It is unique because it is the center of the triangle's incircle, a circle inscribed to touch all three sides. This point is always located inside the triangle and is equidistant from the three sides.", "session_id": 13750, "sequence_id": 80, "annotations": []}
{"role": "volunteer", "content": "let me erase and start again", "session_id": 13750, "sequence_id": 81, "annotations": []}
{"role": "volunteer", "content": "Did you see the definition?", "session_id": 13750, "sequence_id": 82, "annotations": []}
{"role": "student", "content": "I did", "session_id": 13750, "sequence_id": 83, "annotations": []}
{"role": "volunteer", "content": "ok and do you know what angle bisector means?", "session_id": 13750, "sequence_id": 84, "annotations": []}
{"role": "student", "content": "Not off the top of my head.", "session_id": 13750, "sequence_id": 85, "annotations": []}
{"role": "volunteer", "content": "it means a line that cuts the angle in half", "session_id": 13750, "sequence_id": 86, "annotations": []}
{"role": "student", "content": "Ohh ok", "session_id": 13750, "sequence_id": 87, "annotations": []}
{"role": "volunteer", "content": "so for example in corner D there will be two 19 degree angles", "session_id": 13750, "sequence_id": 88, "annotations": []}
{"role": "volunteer", "content": "ok?", "session_id": 13750, "sequence_id": 89, "annotations": []}
{"role": "student", "content": "Ok", "session_id": 13750, "sequence_id": 90, "annotations": []}
{"role": "volunteer", "content": "and at corner F two 27 degree angles", "session_id": 13750, "sequence_id": 91, "annotations": []}
{"role": "volunteer", "content": "so if we ADD up these 4 angles what do we get?", "session_id": 13750, "sequence_id": 92, "annotations": []}
{"role": "student", "content": "92", "session_id": 13750, "sequence_id": 93, "annotations": []}
{"role": "volunteer", "content": "ok great!", "session_id": 13750, "sequence_id": 94, "annotations": []}
{"role": "volunteer", "content": "and what do all three angles of a triangle add up to?", "session_id": 13750, "sequence_id": 95, "annotations": []}
{"role": "student", "content": "180", "session_id": 13750, "sequence_id": 96, "annotations": []}
{"role": "volunteer", "content": "right! so angle E will 180 - 92 right?", "session_id": 13750, "sequence_id": 97, "annotations": []}
{"role": "student", "content": "Right", "session_id": 13750, "sequence_id": 98, "annotations": []}
{"role": "volunteer", "content": "so 88", "session_id": 13750, "sequence_id": 99, "annotations": []}
{"role": "volunteer", "content": "and the angle we are interested in (17x -7) will equal half of that", "session_id": 13750, "sequence_id": 100, "annotations": []}
{"role": "volunteer", "content": "what is half of 88?", "session_id": 13750, "sequence_id": 101, "annotations": []}
{"role": "student", "content": "44", "session_id": 13750, "sequence_id": 102, "annotations": []}
{"role": "volunteer", "content": "ok great!", "session_id": 13750, "sequence_id": 103, "annotations": []}
{"role": "volunteer", "content": "can you find x now?", "session_id": 13750, "sequence_id": 104, "annotations": []}
{"role": "student", "content": "3?", "session_id": 13750, "sequence_id": 105, "annotations": []}
{"role": "volunteer", "content": "yes! excellent job!", "session_id": 13750, "sequence_id": 106, "annotations": []}
{"role": "volunteer", "content": "that's a lot better than the weird fraction we got last time", "session_id": 13750, "sequence_id": 107, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 13750, "sequence_id": 108, "annotations": []}
{"role": "volunteer", "content": "I thought it would be strange to get a fraction for the answer", "session_id": 13750, "sequence_id": 109, "annotations": []}
{"role": "volunteer", "content": "ready for the next one?", "session_id": 13750, "sequence_id": 110, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 13750, "sequence_id": 111, "annotations": []}
{"role": "volunteer", "content": "ok so we have to use the properties of an incenter again", "session_id": 13750, "sequence_id": 112, "annotations": []}
{"role": "volunteer", "content": "here's a new property ...", "session_id": 13750, "sequence_id": 113, "annotations": []}
{"role": "volunteer", "content": "Equidistant from Sides: The incenter is equidistant from all three sides of the triangle. These equal distances represent the radius of the incircle, also known as the inradius.", "session_id": 13750, "sequence_id": 114, "annotations": []}
{"role": "volunteer", "content": "do you see it?", "session_id": 13750, "sequence_id": 115, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 13750, "sequence_id": 116, "annotations": []}
{"role": "volunteer", "content": "great!", "session_id": 13750, "sequence_id": 117, "annotations": []}
{"role": "volunteer", "content": "it means we can draw a circle at K and it touches the sides of the triangle", "session_id": 13750, "sequence_id": 118, "annotations": []}
{"role": "volunteer", "content": "I'll try to draw it", "session_id": 13750, "sequence_id": 119, "annotations": []}
{"role": "volunteer", "content": "see it?", "session_id": 13750, "sequence_id": 120, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 13750, "sequence_id": 121, "annotations": []}
{"role": "volunteer", "content": "now the lines in green are the radius of the circle", "session_id": 13750, "sequence_id": 122, "annotations": []}
{"role": "volunteer", "content": "and they are both the same OK?", "session_id": 13750, "sequence_id": 123, "annotations": []}
{"role": "student", "content": "Ok", "session_id": 13750, "sequence_id": 124, "annotations": []}
{"role": "volunteer", "content": "so we can use that to write an equation to find x", "session_id": 13750, "sequence_id": 125, "annotations": []}
{"role": "volunteer", "content": "I'll do it in red", "session_id": 13750, "sequence_id": 126, "annotations": []}
{"role": "student", "content": "I thought we were finding GK", "session_id": 13750, "sequence_id": 127, "annotations": []}
{"role": "volunteer", "content": "see it?", "session_id": 13750, "sequence_id": 128, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 13750, "sequence_id": 129, "annotations": []}
{"role": "volunteer", "content": "we are but first we must find x", "session_id": 13750, "sequence_id": 130, "annotations": []}
{"role": "student", "content": "Oh ok", "session_id": 13750, "sequence_id": 131, "annotations": []}
{"role": "volunteer", "content": "do you think you can use the equation in red and find x ?", "session_id": 13750, "sequence_id": 132, "annotations": []}
{"role": "volunteer", "content": "I can help if you like", "session_id": 13750, "sequence_id": 133, "annotations": []}
{"role": "student", "content": "12?", "session_id": 13750, "sequence_id": 134, "annotations": []}
{"role": "volunteer", "content": "you got it! well done!", "session_id": 13750, "sequence_id": 135, "annotations": []}
{"role": "volunteer", "content": "but we want GK not x", "session_id": 13750, "sequence_id": 136, "annotations": []}
{"role": "volunteer", "content": "so we put x=12 in one of the other radius", "session_id": 13750, "sequence_id": 137, "annotations": []}
{"role": "volunteer", "content": "which one shall we use?", "session_id": 13750, "sequence_id": 138, "annotations": []}
{"role": "student", "content": "Go?", "session_id": 13750, "sequence_id": 139, "annotations": []}
{"role": "student", "content": "Gk*", "session_id": 13750, "sequence_id": 140, "annotations": []}
{"role": "volunteer", "content": "ok, so 3x + 17 with x=12,", "session_id": 13750, "sequence_id": 141, "annotations": []}
{"role": "volunteer", "content": "what does that give us?", "session_id": 13750, "sequence_id": 142, "annotations": []}
{"role": "student", "content": "53", "session_id": 13750, "sequence_id": 143, "annotations": []}
{"role": "volunteer", "content": "exactly!", "session_id": 13750, "sequence_id": 144, "annotations": []}
{"role": "volunteer", "content": "and if you want to check 7x-31 should also give 53 (with x=12)", "session_id": 13750, "sequence_id": 145, "annotations": []}
{"role": "student", "content": "Right", "session_id": 13750, "sequence_id": 146, "annotations": []}
{"role": "volunteer", "content": "ok cool so that is KI because all the radius (or radii) are the same", "session_id": 13750, "sequence_id": 147, "annotations": []}
{"role": "student", "content": "Right", "session_id": 13750, "sequence_id": 148, "annotations": []}
{"role": "volunteer", "content": "ok, want to do the last one?", "session_id": 13750, "sequence_id": 149, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 13750, "sequence_id": 150, "annotations": []}
{"role": "volunteer", "content": "ok, so they give us the radius", "session_id": 13750, "sequence_id": 151, "annotations": []}
{"role": "volunteer", "content": "18 right?", "session_id": 13750, "sequence_id": 152, "annotations": []}
{"role": "student", "content": "Right", "session_id": 13750, "sequence_id": 153, "annotations": []}
{"role": "volunteer", "content": "and we have 2 other sides", "session_id": 13750, "sequence_id": 154, "annotations": []}
{"role": "volunteer", "content": "DI and DG", "session_id": 13750, "sequence_id": 155, "annotations": []}
{"role": "volunteer", "content": "these will be equal to each other too, ok?", "session_id": 13750, "sequence_id": 156, "annotations": []}
{"role": "student", "content": "Ok", "session_id": 13750, "sequence_id": 157, "annotations": []}
{"role": "volunteer", "content": "so we write 9x-16 = 4x+9", "session_id": 13750, "sequence_id": 158, "annotations": []}
{"role": "volunteer", "content": "and find x from that", "session_id": 13750, "sequence_id": 159, "annotations": []}
{"role": "volunteer", "content": "can you do it?", "session_id": 13750, "sequence_id": 160, "annotations": []}
{"role": "student", "content": "5", "session_id": 13750, "sequence_id": 161, "annotations": []}
{"role": "volunteer", "content": "great!", "session_id": 13750, "sequence_id": 162, "annotations": []}
{"role": "volunteer", "content": "but we have to find DK", "session_id": 13750, "sequence_id": 163, "annotations": []}
{"role": "volunteer", "content": "4x+9 = 29 ok?", "session_id": 13750, "sequence_id": 164, "annotations": []}
{"role": "student", "content": "Ok", "session_id": 13750, "sequence_id": 165, "annotations": []}
{"role": "volunteer", "content": "so to find DK we need to use Pythagorean theorem", "session_id": 13750, "sequence_id": 166, "annotations": []}
{"role": "volunteer", "content": "do you know that one?", "session_id": 13750, "sequence_id": 167, "annotations": []}
{"role": "student", "content": "A^2+b^2=c^2?", "session_id": 13750, "sequence_id": 168, "annotations": []}
{"role": "volunteer", "content": "yes that's it", "session_id": 13750, "sequence_id": 169, "annotations": []}
{"role": "volunteer", "content": "where a", "session_id": 13750, "sequence_id": 170, "annotations": []}
{"role": "volunteer", "content": "a=18 and b=29", "session_id": 13750, "sequence_id": 171, "annotations": []}
{"role": "volunteer", "content": "and c is the hypothenuse DK", "session_id": 13750, "sequence_id": 172, "annotations": []}
{"role": "student", "content": "Ok", "session_id": 13750, "sequence_id": 173, "annotations": []}
{"role": "volunteer", "content": "so c = sq rt of 18^2 + 29^2", "session_id": 13750, "sequence_id": 174, "annotations": []}
{"role": "volunteer", "content": "tell me what you get for 18^2 + 29^2", "session_id": 13750, "sequence_id": 175, "annotations": []}
{"role": "volunteer", "content": "do you have a calculator?", "session_id": 13750, "sequence_id": 176, "annotations": []}
{"role": "student", "content": "1165", "session_id": 13750, "sequence_id": 177, "annotations": []}
{"role": "volunteer", "content": "ok great that's what I get", "session_id": 13750, "sequence_id": 178, "annotations": []}
{"role": "volunteer", "content": "so DK is the sq rt of 1165", "session_id": 13750, "sequence_id": 179, "annotations": []}
{"role": "volunteer", "content": "it's a decimal", "session_id": 13750, "sequence_id": 180, "annotations": []}
{"role": "student", "content": "34.13", "session_id": 13750, "sequence_id": 181, "annotations": []}
{"role": "volunteer", "content": "right! exactly", "session_id": 13750, "sequence_id": 182, "annotations": []}
{"role": "volunteer", "content": "great work!", "session_id": 13750, "sequence_id": 183, "annotations": []}
{"role": "student", "content": "Thank you so very much for your help!", "session_id": 13750, "sequence_id": 184, "annotations": []}
{"role": "volunteer", "content": "you're welcome", "session_id": 13750, "sequence_id": 185, "annotations": []}
{"role": "volunteer", "content": "have a nice evening", "session_id": 13750, "sequence_id": 186, "annotations": []}
{"role": "student", "content": "You too!", "session_id": 13750, "sequence_id": 187, "annotations": []}
{"role": "volunteer", "content": "thanks, bye!", "session_id": 13750, "sequence_id": 188, "annotations": []}
{"role": "student", "content": "hello", "session_id": 14023, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "Hi, I'm here.", "session_id": 14023, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "How are you?", "session_id": 14023, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "im good how about yourself?", "session_id": 14023, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "good thanks", "session_id": 14023, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "i\u2019m having difficulty grasping this topic", "session_id": 14023, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "which topic?", "session_id": 14023, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "oh ok", "session_id": 14023, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "yes", "session_id": 14023, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "In general, we're saying, where specifically in the graph is y>0", "session_id": 14023, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "okay", "session_id": 14023, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "So, it's most of the graph actually.  Just not the part between x=-8 to x=-3", "session_id": 14023, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "would one of them be -3<x<1?", "session_id": 14023, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 14023, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "3<x<5", "session_id": 14023, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "yes that too", "session_id": 14023, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "5<x<infinity?", "session_id": 14023, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "Are all these answer choices?", "session_id": 14023, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "no", "session_id": 14023, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "we have to type them in", "session_id": 14023, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "ok I'm a little unsure what you have to type in exactly, sorry", "session_id": 14023, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "here is an exay", "session_id": 14023, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "example", "session_id": 14023, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "okay, so I think there's just two answers", "session_id": 14023, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "it can be as many", "session_id": 14023, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "in other questions there was i believe up to 4", "session_id": 14023, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "it just depends on the graph", "session_id": 14023, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "hmm.  To me, there's just -3<x<infinity and x<-8", "session_id": 14023, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "I don't think you need to break it up into more intervals than that for this question.", "session_id": 14023, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "could you type that in different terms like -3<x<1 im not really sure how  -3<x<infinity works", "session_id": 14023, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "yeah.", "session_id": 14023, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "In words, it would be, 'x goes from -3 to positive infinity'", "session_id": 14023, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "-3<x<infinity", "session_id": 14023, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "Does that make sense?", "session_id": 14023, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "its says its wrong", "session_id": 14023, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "hm, don't know why it would be wrong", "session_id": 14023, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "maybe it's the less than or equal sign. ?", "session_id": 14023, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "yeah i had placed that", "session_id": 14023, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "oh", "session_id": 14023, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "i believe its more than one answer", "session_id": 14023, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "well, yes, there's still the other side of the graph", "session_id": 14023, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "ah okay", "session_id": 14023, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "Can you try this one, this time?", "session_id": 14023, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "what do you mean?", "session_id": 14023, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "Can you answer it", "session_id": 14023, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "-3<x<1", "session_id": 14023, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "ah.. ??", "session_id": 14023, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "..wrong?", "session_id": 14023, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "it's wrong", "session_id": 14023, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "what should i be looking for specifically", "session_id": 14023, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "It's the part of the graph that's to the left of the red part.  Y is positive there again.", "session_id": 14023, "sequence_id": 50, "annotations": []}
{"role": "student", "content": "when do i know where to stop it", "session_id": 14023, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "like okay i start at -3 and then go to the top of a peak?", "session_id": 14023, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "That's the part we already did.", "session_id": 14023, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "Now we have to do the left hand side.", "session_id": 14023, "sequence_id": 54, "annotations": []}
{"role": "student", "content": "but thats below the y", "session_id": 14023, "sequence_id": 55, "annotations": []}
{"role": "student", "content": "x*", "session_id": 14023, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "yes- but then it comes up again at x=-8 and left of that.", "session_id": 14023, "sequence_id": 57, "annotations": []}
{"role": "student", "content": "does our next one start at -5?", "session_id": 14023, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "No, that's still in the negative y axis interval.", "session_id": 14023, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "You have to start the interval where it crosses 0", "session_id": 14023, "sequence_id": 60, "annotations": []}
{"role": "student", "content": "-3 or -2", "session_id": 14023, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "I'm talking about left of the red line.", "session_id": 14023, "sequence_id": 62, "annotations": []}
{"role": "student", "content": "-8", "session_id": 14023, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "starting from -8 and going left.  yes", "session_id": 14023, "sequence_id": 64, "annotations": []}
{"role": "student", "content": "infinity", "session_id": 14023, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "yes- but since it's to the left- it's negative infinity", "session_id": 14023, "sequence_id": 66, "annotations": []}
{"role": "student", "content": "okay", "session_id": 14023, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "I hope it's making sense.", "session_id": 14023, "sequence_id": 68, "annotations": []}
{"role": "student", "content": "im still a bit confused why we went from -3 infinity to then -infinity -8", "session_id": 14023, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "Do you mean, you're confused about the order or how you write it?", "session_id": 14023, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "or something else?", "session_id": 14023, "sequence_id": 71, "annotations": []}
{"role": "student", "content": "like specifically where we are supposed to start to go about the problem", "session_id": 14023, "sequence_id": 72, "annotations": []}
{"role": "student", "content": "when you first look at the graph", "session_id": 14023, "sequence_id": 73, "annotations": []}
{"role": "student", "content": "where do you begin", "session_id": 14023, "sequence_id": 74, "annotations": []}
{"role": "volunteer", "content": "Ok so for this question they want you to identify where in the graph f(x)>0", "session_id": 14023, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "So that's anywhere above the x-axis.", "session_id": 14023, "sequence_id": 76, "annotations": []}
{"role": "student", "content": "got it", "session_id": 14023, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "ok good", "session_id": 14023, "sequence_id": 78, "annotations": []}
{"role": "student", "content": "i understand that part", "session_id": 14023, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "So, then you have to think of the graph in parts, and you have to name the parts that are above the x-axis", "session_id": 14023, "sequence_id": 80, "annotations": []}
{"role": "student", "content": "hence why we got what we did correct?", "session_id": 14023, "sequence_id": 81, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 14023, "sequence_id": 82, "annotations": []}
{"role": "student", "content": "okay", "session_id": 14023, "sequence_id": 83, "annotations": []}
{"role": "student", "content": "so for our next one", "session_id": 14023, "sequence_id": 84, "annotations": []}
{"role": "student", "content": "where do i begin to look at the graph", "session_id": 14023, "sequence_id": 85, "annotations": []}
{"role": "student", "content": "because my eyes goes to -3 but thats where the last one ended", "session_id": 14023, "sequence_id": 86, "annotations": []}
{"role": "volunteer", "content": "umm.  Is this the full problem?", "session_id": 14023, "sequence_id": 87, "annotations": []}
{"role": "student", "content": "yes", "session_id": 14023, "sequence_id": 88, "annotations": []}
{"role": "volunteer", "content": "It doesn't make sense to me.", "session_id": 14023, "sequence_id": 89, "annotations": []}
{"role": "student", "content": "me neither", "session_id": 14023, "sequence_id": 90, "annotations": []}
{"role": "volunteer", "content": "lol oh boy", "session_id": 14023, "sequence_id": 91, "annotations": []}
{"role": "volunteer", "content": "Are you maybe supposed to just type those in as the answer?", "session_id": 14023, "sequence_id": 92, "annotations": []}
{"role": "student", "content": "yeah this is what they give us to type in", "session_id": 14023, "sequence_id": 93, "annotations": []}
{"role": "volunteer", "content": "Isn't what you just put up the previous question?", "session_id": 14023, "sequence_id": 94, "annotations": []}
{"role": "student", "content": "oh i thought we were working on the same one", "session_id": 14023, "sequence_id": 95, "annotations": []}
{"role": "student", "content": "the one i sent was just an example the app gives us to see what we needa find", "session_id": 14023, "sequence_id": 96, "annotations": []}
{"role": "volunteer", "content": "Have you pressed submit yet?", "session_id": 14023, "sequence_id": 97, "annotations": []}
{"role": "student", "content": "no", "session_id": 14023, "sequence_id": 98, "annotations": []}
{"role": "student", "content": "should i", "session_id": 14023, "sequence_id": 99, "annotations": []}
{"role": "volunteer", "content": "yes please", "session_id": 14023, "sequence_id": 100, "annotations": []}
{"role": "student", "content": "it wad right lol im sorry", "session_id": 14023, "sequence_id": 101, "annotations": []}
{"role": "volunteer", "content": "lol. It's alright.", "session_id": 14023, "sequence_id": 102, "annotations": []}
{"role": "student", "content": "mind doing one more with me and if that okay? its a lil different concept", "session_id": 14023, "sequence_id": 103, "annotations": []}
{"role": "volunteer", "content": "sure!", "session_id": 14023, "sequence_id": 104, "annotations": []}
{"role": "volunteer", "content": "okay, where the graph is increasing is simply where it's going up", "session_id": 14023, "sequence_id": 105, "annotations": []}
{"role": "student", "content": "do i count it if its already up?", "session_id": 14023, "sequence_id": 106, "annotations": []}
{"role": "student", "content": "like - infinity <x<4", "session_id": 14023, "sequence_id": 107, "annotations": []}
{"role": "student", "content": "-4*", "session_id": 14023, "sequence_id": 108, "annotations": []}
{"role": "volunteer", "content": "yes that part would count.", "session_id": 14023, "sequence_id": 109, "annotations": []}
{"role": "volunteer", "content": "You're asking if it's above the x axis", "session_id": 14023, "sequence_id": 110, "annotations": []}
{"role": "volunteer", "content": "but this concept doesn't have to do with that.", "session_id": 14023, "sequence_id": 111, "annotations": []}
{"role": "student", "content": "so it wouldn\u2019t be?", "session_id": 14023, "sequence_id": 112, "annotations": []}
{"role": "volunteer", "content": "I'm not sure what you're asking.  But anywhere on the graph where it's going more up, is called increasing.", "session_id": 14023, "sequence_id": 113, "annotations": []}
{"role": "student", "content": "ah so like -2<x<2", "session_id": 14023, "sequence_id": 114, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 14023, "sequence_id": 115, "annotations": []}
{"role": "student", "content": "but does the previous one i said be one of the answers as well?", "session_id": 14023, "sequence_id": 116, "annotations": []}
{"role": "volunteer", "content": "yes, that is going up", "session_id": 14023, "sequence_id": 117, "annotations": []}
{"role": "student", "content": "5<x< infinity", "session_id": 14023, "sequence_id": 118, "annotations": []}
{"role": "volunteer", "content": "Not quite.", "session_id": 14023, "sequence_id": 119, "annotations": []}
{"role": "student", "content": "is it 6 or 8", "session_id": 14023, "sequence_id": 120, "annotations": []}
{"role": "student", "content": "6 because its at the bottom of the peak? but at 8 its directly going up", "session_id": 14023, "sequence_id": 121, "annotations": []}
{"role": "volunteer", "content": "6", "session_id": 14023, "sequence_id": 122, "annotations": []}
{"role": "volunteer", "content": "All the blue parts I colored are increasing.", "session_id": 14023, "sequence_id": 123, "annotations": []}
{"role": "student", "content": "i see okay", "session_id": 14023, "sequence_id": 124, "annotations": []}
{"role": "volunteer", "content": "ok cool", "session_id": 14023, "sequence_id": 125, "annotations": []}
{"role": "volunteer", "content": "So just remember that these are two different concepts.", "session_id": 14023, "sequence_id": 126, "annotations": []}
{"role": "student", "content": "i will continue to complete more on my own for practice thank you", "session_id": 14023, "sequence_id": 127, "annotations": []}
{"role": "student", "content": "yes", "session_id": 14023, "sequence_id": 128, "annotations": []}
{"role": "volunteer", "content": "Alright", "session_id": 14023, "sequence_id": 129, "annotations": []}
{"role": "volunteer", "content": "good job", "session_id": 14023, "sequence_id": 130, "annotations": []}
{"role": "student", "content": "thank you", "session_id": 14023, "sequence_id": 131, "annotations": []}
{"role": "volunteer", "content": "yw!", "session_id": 14023, "sequence_id": 132, "annotations": []}
{"role": "volunteer", "content": "Jamie, how can I help you?", "session_id": 14556, "sequence_id": 0, "annotations": [{"pii_type": "PERSON", "surrogate": "Jamie", "start": 0, "end": 5}]}
{"role": "student", "content": "hii I need help with 35-37", "session_id": 14556, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "OK.", "session_id": 14556, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "also I cant talk or turn my volume up at the moment", "session_id": 14556, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "sorry", "session_id": 14556, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "Some of the angles for triangle ABC degrees, right? Do you know that?", "session_id": 14556, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "So 35", "session_id": 14556, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "yes", "session_id": 14556, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "So then you have", "session_id": 14556, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "two parallel lines, that is STNYZ.", "session_id": 14556, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "The angles 2 and 3 are equal.", "session_id": 14556, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "and the angle W", "session_id": 14556, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "which are opposite angles are also equal.", "session_id": 14556, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "from the given", "session_id": 14556, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "1 and 3 are supposed to be equal.", "session_id": 14556, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "So that means all angles between the two triangles.", "session_id": 14556, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "are equal", "session_id": 14556, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "so they both are eququilateral triangles.", "session_id": 14556, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "Does that help with problem 35?", "session_id": 14556, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "yes sort of", "session_id": 14556, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "1=2\n1= 3\n2=3\n1=2=3", "session_id": 14556, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "Mhm", "session_id": 14556, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "Mm.", "session_id": 14556, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 14556, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "Mm", "session_id": 14556, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "sorry I have to go now but thank you for the help", "session_id": 14556, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "hello", "session_id": 14707, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "Sam", "session_id": 14707, "sequence_id": 1, "annotations": [{"pii_type": "PERSON", "surrogate": "Sam", "start": 0, "end": 3}]}
{"role": "volunteer", "content": "Hi", "session_id": 14707, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "i need help on a few questions i put on the whiteboard", "session_id": 14707, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "Hold on let me get on my computer", "session_id": 14707, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "Ok", "session_id": 14707, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "here", "session_id": 14707, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "what do you mean", "session_id": 14707, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "so number 2,5 and 7", "session_id": 14707, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "yes", "session_id": 14707, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "for number 2 \nstep 1\n1) root 32= root 16x2 \n= 4 root 2", "session_id": 14707, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "2) root 50 = root 25 x 2 \n= 5 root 2", "session_id": 14707, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "3) root 200 = root 100 x 2\n= 10 root 2", "session_id": 14707, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "step 2\n1) 2/3 x 4 root 2 + 1/3 x 5 root 2 + 1/4 x 10 root 2", "session_id": 14707, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "8/3 root 2 + 5/3 root 2 + 10/4 root 2", "session_id": 14707, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "are you getting it", "session_id": 14707, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "step 3 add first 2 terms that means 8/3 + 5/3 = 13/3 \n and for the other on just divide by a common divisor for this is 2 so 10/4 =5/2", "session_id": 14707, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "now add the 2 13/3 + 5/2", "session_id": 14707, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "but you cant add fractions unless a common denominator so you find it", "session_id": 14707, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "the common denominator for 2 and 3 is 6", "session_id": 14707, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "multiply both top and bottom by 2", "session_id": 14707, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "Hello", "session_id": 15027, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "How are you doing", "session_id": 15027, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "Hi!", "session_id": 15027, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "I'm well, and yourself?", "session_id": 15027, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "Hey, doing great", "session_id": 15027, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "Good to see you again and achieves.", "session_id": 15027, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "What do you have an algebra today?", "session_id": 15027, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "Can you hear me well", "session_id": 15027, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "Looks like go away", "session_id": 15027, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 15027, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 15027, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "So I want to practice a bit on some problems just to ensure that I still understand it. Can you create some problems in order from the first pdf linked and then when we finish that can you do the same for the second pdf. I want problems with different numbers but the same concept, so I won't be practicing the same ones I did in class. I am currently working on page 2 problem 23. I want two questions each just so I can ensure I am familiar and remember how to solve it! PDF LINK 1: https://example.com/math_problems.pdf", "session_id": 15027, "sequence_id": 11, "annotations": [{"pii_type": "URL", "surrogate": "https://example.com/math_problems.pdf", "start": 485, "end": 522}]}
{"role": "volunteer", "content": "Do you want me to open that link", "session_id": 15027, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 15027, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "OK, it's difficult to copy any", "session_id": 15027, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "link here", "session_id": 15027, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "Its on the whiteboard", "session_id": 15027, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "Yeah, we can try that", "session_id": 15027, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "OK, which one you're currently working on page 2 problem 23.", "session_id": 15027, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "page 2", "session_id": 15027, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "mhm", "session_id": 15027, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "Can you write the problem on the whiteboard", "session_id": 15027, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "Yeah, sure, but I'm not clear on page 23, so I've opened that PDF", "session_id": 15027, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "Page 2", "session_id": 15027, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "and I'm looking at", "session_id": 15027, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "Problem 23", "session_id": 15027, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "page one is fine.", "session_id": 15027, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "Oh, OK", "session_id": 15027, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "OK, I see your problem 23", "session_id": 15027, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "Yes so basically I need two problems that are like that problem but diff numbers of course", "session_id": 15027, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "So do you wanna put me, do you want, uh, yes.", "session_id": 15027, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 15027, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "Give me a second", "session_id": 15027, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "ok", "session_id": 15027, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "I'm still here. I'm trying to find a really complex problem for you.", "session_id": 15027, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "ok!", "session_id": 15027, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "OK, I'm fine. I think I found something. Let's try them.", "session_id": 15027, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "All right, I'll put something on the board, see if we can solve it. Uh, let me just arrange it appropriately.", "session_id": 15027, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "Just give me a second. Don't get started on it yet.", "session_id": 15027, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "this isnt like the problem", "session_id": 15027, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "Like I want one just like the problem, only difference is the numbers", "session_id": 15027, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "Oh, OK. So, I thought you wanted a more challenging problem. That's fine.", "session_id": 15027, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "Uh", "session_id": 15027, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "Basically what I'm saying is the same problem but different numbers.", "session_id": 15027, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "Yes, I'm on it", "session_id": 15027, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "All right. You're gonna give a shot.", "session_id": 15027, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "thanks", "session_id": 15027, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "can you actually solve this one and then ill do the next one you rewrite", "session_id": 15027, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "Oh this is exactly like the one year solid on paper.", "session_id": 15027, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "Yeah I know but I'm not good with this one I kinda don't know how to solve it", "session_id": 15027, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "OK, can I just solve the one which you already have on the paper?", "session_id": 15027, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "and you can try this one", "session_id": 15027, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "sure", "session_id": 15027, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "OK, I'll explain the one about the ones on the paper.", "session_id": 15027, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "is sold, uh.", "session_id": 15027, "sequence_id": 54, "annotations": []}
{"role": "student", "content": "can you show the work on the whiteboard as well", "session_id": 15027, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "OK, do we, do we know the basic concepts of this already, or do we need to go through that?", "session_id": 15027, "sequence_id": 56, "annotations": []}
{"role": "student", "content": "yes kinda", "session_id": 15027, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "So let me walk you through that. So fire to the minus 1 basically means that it is one", "session_id": 15027, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "upon 5", "session_id": 15027, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "2 square, you know, 2 multiplied by 2.", "session_id": 15027, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "22 is 4", "session_id": 15027, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "And 5 by 3, you're saying essentially is that we need to the reciprocal of that, so that's 3 x 5.", "session_id": 15027, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "Any questions so far", "session_id": 15027, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "Maybe I'll talk you through the concept here a little bit. So,", "session_id": 15027, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "any number raised to 0 is 1.", "session_id": 15027, "sequence_id": 65, "annotations": []}
{"role": "student", "content": "Holdon", "session_id": 15027, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "1 upon A is equal to A raise to 1.", "session_id": 15027, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "1 upon a square.", "session_id": 15027, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "You go to", "session_id": 15027, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "give you this 2-2.", "session_id": 15027, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 15027, "sequence_id": 71, "annotations": []}
{"role": "student", "content": "Hi", "session_id": 15052, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "Hi Sarah! How are you?", "session_id": 15052, "sequence_id": 1, "annotations": [{"pii_type": "PERSON", "surrogate": "Sarah", "start": 3, "end": 8}]}
{"role": "student", "content": "I'm good", "session_id": 15052, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "Awesome :) How can I help you today?", "session_id": 15052, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "I have some questions I want to go over", "session_id": 15052, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "Great! Would you like to put one on the board?", "session_id": 15052, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "It's 56x+45=188", "session_id": 15052, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "Okay! Do you have an idea how to start?", "session_id": 15052, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "No can you help with it please", "session_id": 15052, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "Sure! So our goal is to find out what x must equal", "session_id": 15052, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "Okay", "session_id": 15052, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "To do this, we apply valid algebraic operations to both sides of the equation, making sure to keep the equation balanced, until we've transformed 56x + 45 = 188 into x = something", "session_id": 15052, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "Can I put the question on the board", "session_id": 15052, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "sure!", "session_id": 15052, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "very good! Nice first step", "session_id": 15052, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "Is that right?", "session_id": 15052, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "That's correct! Nice work :)", "session_id": 15052, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "Ok the next question is 45x-56=265", "session_id": 15052, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "okay! Can you give this one a shot too on the board?", "session_id": 15052, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "Yes can you write it for me my writing is messy", "session_id": 15052, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "sure :)", "session_id": 15052, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "Is this right", "session_id": 15052, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "Yes!", "session_id": 15052, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "Any other questions? :)", "session_id": 15052, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "Hi", "session_id": 15052, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "Yes I'm sorry", "session_id": 15052, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "Hi Liam! How are you?", "session_id": 15055, "sequence_id": 0, "annotations": [{"pii_type": "PERSON", "surrogate": "Liam", "start": 3, "end": 7}]}
{"role": "student", "content": "hi again, sorry about before I lost internet I'm back now", "session_id": 15055, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "awesome :)", "session_id": 15055, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "this is the last one I had to check", "session_id": 15055, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "okay! Give me a minute to work through it", "session_id": 15055, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "ok", "session_id": 15055, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "That looks correct!", "session_id": 15055, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "thanks!", "session_id": 15055, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "that's all i had", "session_id": 15055, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "Awesome! Have a nice day :D", "session_id": 15055, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "you too! bye!", "session_id": 15055, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "Maya", "session_id": 12374, "sequence_id": 0, "annotations": [{"pii_type": "PERSON", "surrogate": "Maya", "start": 0, "end": 4}]}
{"role": "volunteer", "content": "what do you need help with?", "session_id": 12374, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "Could you give me some practice problems that are similar to these?", "session_id": 12374, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "sure :)", "session_id": 12374, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "Given Points: A, B, C, D, E (with B as the vertex for all)\n\n1) Write another name for \u2220ABC\n\n2) Name a right angle.\n\n3) Identify a pair of congruent angles and find their measures.\n\n4) What type of angle is \u2220DBC? (acute, right, obtuse, or straight)\n\n5) Which angle is larger: \u2220ABE or \n\u2220EBD? Explain how you got this", "session_id": 12374, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "Is there an image to go off of?", "session_id": 12374, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "okay there", "session_id": 12374, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "Perfect! is number one CBA?", "session_id": 12374, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "yes :)", "session_id": 12374, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "And then DBE for the second?", "session_id": 12374, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "yes!", "session_id": 12374, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "and then CBA and CBD for the third?", "session_id": 12374, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "yeppp good jobb'", "session_id": 12374, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "and then acute for fourth?", "session_id": 12374, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "yup", "session_id": 12374, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "anddd ABE for the fifth?", "session_id": 12374, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "I got that because ABE 70 degrees and DBE is 90", "session_id": 12374, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "yayyy good job!", "session_id": 12374, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "Thank you!! I think I a got a better understanding on this now, thank you for your time! I appreciate it so much!", "session_id": 12374, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "you're sp welcome!! you're doing great :) have a good dayyy", "session_id": 12374, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "you too !", "session_id": 12374, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "unit 1.5 ap precalc", "session_id": 12637, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "polynomails", "session_id": 12637, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "Hello!", "session_id": 12637, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "Hi", "session_id": 12637, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "How is your day going?", "session_id": 12637, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "Great! yours?", "session_id": 12637, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "It is good!", "session_id": 12637, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "What do you need help with today?", "session_id": 12637, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "polynomial equations practically, I kinda forgot my alegbra 2 skills", "session_id": 12637, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "finding zeros and mulitplicty", "session_id": 12637, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "Do you want to give me a problem and we can work it out together?", "session_id": 12637, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "Yeah! in my copy it is already solved but I still dont get the concept, is that ok?", "session_id": 12637, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "Yes!", "session_id": 12637, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "those are the ones", "session_id": 12637, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "Ok, lets start with 1", "session_id": 12637, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "Ok", "session_id": 12637, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "The first apart is difference of squares!", "session_id": 12637, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "yeah!", "session_id": 12637, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "And then for the second part, they found the 2 numbers that multiplied of give you 4, and added to -4", "session_id": 12637, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "yes", "session_id": 12637, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "Then since that is the same thing twice, it can be squared!", "session_id": 12637, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "so you practically just factor it out?", "session_id": 12637, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "Oh!", "session_id": 12637, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "Yes!", "session_id": 12637, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "Do you want to review how to graph it too?", "session_id": 12637, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "yeah!", "session_id": 12637, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "So we first find our zeros. That is all of what x would equal if you set them to 0.", "session_id": 12637, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "In this case, they would be 3,-3 and 2", "session_id": 12637, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "Ohh", "session_id": 12637, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "And then, you cross at any of the factors are to a degree of 1. When they are squared, you bounce instead of crossing.", "session_id": 12637, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "In this case, it bounces at the 2", "session_id": 12637, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "Yeah! that makes sense", "session_id": 12637, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "Do you want to do the second one?", "session_id": 12637, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "yeah!", "session_id": 12637, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "So first, we can take out a GCF of x, since all of the terms have at least one x in them", "session_id": 12637, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "yes", "session_id": 12637, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "And then they factored it out from there!", "session_id": 12637, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "that makes sense I honestly didnt notice it at first", "session_id": 12637, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "And then to graph it we find the roots!", "session_id": 12637, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "Yeah!", "session_id": 12637, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "What are the zeros at here?", "session_id": 12637, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "-5?", "session_id": 12637, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "and 0 because of the x", "session_id": 12637, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "Yes!", "session_id": 12637, "sequence_id": 43, "annotations": []}
{"role": "student", "content": "yeah!", "session_id": 12637, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "And then you graph them, and it bounces at the -5!", "session_id": 12637, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "Yeah because when you factor it  both are positive", "session_id": 12637, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "(x+5)(x+5)", "session_id": 12637, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "Yes!", "session_id": 12637, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "nice!", "session_id": 12637, "sequence_id": 49, "annotations": []}
{"role": "student", "content": "Could you go over4? on the other page", "session_id": 12637, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "Yes!", "session_id": 12637, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "So first, we put the roots into the equation", "session_id": 12637, "sequence_id": 52, "annotations": []}
{"role": "student", "content": "yes", "session_id": 12637, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "The from there we can combine the last 2 terms", "session_id": 12637, "sequence_id": 54, "annotations": []}
{"role": "student", "content": "how so?", "session_id": 12637, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "Do you understand how I got to here?", "session_id": 12637, "sequence_id": 56, "annotations": []}
{"role": "student", "content": "yeah you factored out the 2i?", "session_id": 12637, "sequence_id": 57, "annotations": []}
{"role": "student", "content": "and the 4", "session_id": 12637, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "I distributed everything out.", "session_id": 12637, "sequence_id": 59, "annotations": []}
{"role": "student", "content": "why is it 4i squared", "session_id": 12637, "sequence_id": 60, "annotations": []}
{"role": "student", "content": "oh nevemrind", "session_id": 12637, "sequence_id": 61, "annotations": []}
{"role": "student", "content": "yes", "session_id": 12637, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "Do you notice how the middle 2 terms can cancel each other out?", "session_id": 12637, "sequence_id": 63, "annotations": []}
{"role": "student", "content": "yes", "session_id": 12637, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "and i is equal to the square root of -1", "session_id": 12637, "sequence_id": 65, "annotations": []}
{"role": "student", "content": "yes", "session_id": 12637, "sequence_id": 66, "annotations": []}
{"role": "student", "content": "so it would cancel out", "session_id": 12637, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "Then lets square the square root", "session_id": 12637, "sequence_id": 68, "annotations": []}
{"role": "student", "content": "yes!", "session_id": 12637, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "That is how to combine those two terms!", "session_id": 12637, "sequence_id": 70, "annotations": []}
{"role": "student", "content": "got it!", "session_id": 12637, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "Then from there we need to find the a value!", "session_id": 12637, "sequence_id": 72, "annotations": []}
{"role": "student", "content": "yes!", "session_id": 12637, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "We do that using the other information they gave us!", "session_id": 12637, "sequence_id": 74, "annotations": []}
{"role": "volunteer", "content": "Put 5 in for all the x", "session_id": 12637, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "and it equals -145!", "session_id": 12637, "sequence_id": 76, "annotations": []}
{"role": "student", "content": "Yes!", "session_id": 12637, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "Do you want help solving for A?", "session_id": 12637, "sequence_id": 78, "annotations": []}
{"role": "student", "content": "I think its understandable for the most part", "session_id": 12637, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "Sounds good :)", "session_id": 12637, "sequence_id": 80, "annotations": []}
{"role": "student", "content": "yeah I got it you plug in the 5 multiply them and than divide wthe result from the a", "session_id": 12637, "sequence_id": 81, "annotations": []}
{"role": "student", "content": "yeah!", "session_id": 12637, "sequence_id": 82, "annotations": []}
{"role": "volunteer", "content": "Yes!", "session_id": 12637, "sequence_id": 83, "annotations": []}
{"role": "volunteer", "content": "I have to go now, but I hope our time together helped!", "session_id": 12637, "sequence_id": 84, "annotations": []}
{"role": "student", "content": "Thank you! that helped a ton!", "session_id": 12637, "sequence_id": 85, "annotations": []}
{"role": "volunteer", "content": "Your welcome!", "session_id": 12637, "sequence_id": 86, "annotations": []}
{"role": "student", "content": "have a great day! :)", "session_id": 12637, "sequence_id": 87, "annotations": []}
{"role": "volunteer", "content": "You too :)", "session_id": 12637, "sequence_id": 88, "annotations": []}
{"role": "volunteer", "content": "hello", "session_id": 13009, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "How may I help you this afternoon?", "session_id": 13009, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "you sound like a bot", "session_id": 13009, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "but I need help with math", "session_id": 13009, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "That's funny.", "session_id": 13009, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "Can you show me your problem?", "session_id": 13009, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "its like really hard", "session_id": 13009, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "can you upload an image of the problem, by any chance", "session_id": 13009, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "I can try", "session_id": 13009, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "I am not sure what you are drawing", "session_id": 13009, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "5+2 does not =20", "session_id": 13009, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "I know it is 15t", "session_id": 13009, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "15", "session_id": 13009, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "k=mx+20 is the austion", "session_id": 13009, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "question", "session_id": 13009, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "that is the equation of a line", "session_id": 13009, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "what is it that they want you to figure out?", "session_id": 13009, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "so its 2 piggy banks", "session_id": 13009, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "15 in each", "session_id": 13009, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "15 pennies in each?", "session_id": 13009, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "15 dollars in each", "session_id": 13009, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "yes", "session_id": 13009, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "and one piggy bank get 20 dollars", "session_id": 13009, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "k=mx+20 is what they put", "session_id": 13009, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "k=mx k=5 wast the first one", "session_id": 13009, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "what do you mean that one piggy bank gets 20 dollars.  I thought they both had 15 dollars", "session_id": 13009, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "Sorry, but I don't really understand the problem", "session_id": 13009, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "hello?", "session_id": 13009, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "are you there?", "session_id": 13009, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "hello?", "session_id": 13009, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "hi", "session_id": 16860, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "waht do you need help with", "session_id": 16860, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "hi can i  get help with this because i need to relearn algebra because i forgot how to do it", "session_id": 16860, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "okay", "session_id": 16860, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "what are you stuck on", "session_id": 16860, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "anything in specific", "session_id": 16860, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "yes this questions", "session_id": 16860, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "okay", "session_id": 16860, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "what are you thinking about it", "session_id": 16860, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "i need a general thought of where you are", "session_id": 16860, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "i only know that a number with no exponent is 1 degree", "session_id": 16860, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "okay i see", "session_id": 16860, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "do you know how to complete the square", "session_id": 16860, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "no", "session_id": 16860, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "okay", "session_id": 16860, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "we need to elarn that first", "session_id": 16860, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "ok", "session_id": 16860, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "first things first", "session_id": 16860, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "okay", "session_id": 16860, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "i have a google doc for this i can paste it into the board and you can understand what it says", "session_id": 16860, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "ok", "session_id": 16860, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "read this and make sur eyou understand it", "session_id": 16860, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "ok i see them", "session_id": 16860, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "so first we have to make your function into the form of (x-h)^2+k", "session_id": 16860, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "does that make sense", "session_id": 16860, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "tell me what you get", "session_id": 16860, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "whta would be h)^2?", "session_id": 16860, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "okay", "session_id": 16860, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "so", "session_id": 16860, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "you are supposed to condense the original equation and make sure that when you square it, it goes back to what the original formula is", "session_id": 16860, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "so would it be2+k?", "session_id": 16860, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "no", "session_id": 16860, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "it could become ((x-3)^2", "session_id": 16860, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "that is what (x-h)^2 is", "session_id": 16860, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "how did you get 3", "session_id": 16860, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "bc when you simplify the equation it goes back to 6", "session_id": 16860, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "its a perfect square", "session_id": 16860, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "how do you simplify the equation?", "session_id": 16860, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "when there is no 3 in the first equation they gave", "session_id": 16860, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "okay", "session_id": 16860, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "look at this", "session_id": 16860, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "you should know this information", "session_id": 16860, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "this is how you complete the square", "session_id": 16860, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "does this make sense or no", "session_id": 16860, "sequence_id": 43, "annotations": []}
{"role": "student", "content": "ok kinda", "session_id": 16860, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "now try it yourself", "session_id": 16860, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "ok i get everything else but how fif you get 9+14 at the end?", "session_id": 16860, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "-9+14", "session_id": 16860, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "that comes from completing the square", "session_id": 16860, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "(-3)^2=9", "session_id": 16860, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "like you have to put it", "session_id": 16860, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "it comes with completing the square", "session_id": 16860, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "so i have to do x^2-(6x+9)?", "session_id": 16860, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "what you said does not make any sense sorry please say it in other terms", "session_id": 16860, "sequence_id": 53, "annotations": []}
{"role": "student", "content": "ok so i have to do x^2", "session_id": 16860, "sequence_id": 54, "annotations": []}
{"role": "student", "content": "-6x+9", "session_id": 16860, "sequence_id": 55, "annotations": []}
{"role": "student", "content": "its on the board", "session_id": 16860, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 16860, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "that is what you are supposed to do", "session_id": 16860, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "like this is how you complete the square", "session_id": 16860, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "does that make any sense", "session_id": 16860, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "do you want another example", "session_id": 16860, "sequence_id": 61, "annotations": []}
{"role": "student", "content": "are you still tutoring?", "session_id": 16860, "sequence_id": 62, "annotations": []}
{"role": "student", "content": "hi! how are you today", "session_id": 17169, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "Hi Alex I am doing well. How are you doing and what can I help you with?", "session_id": 17169, "sequence_id": 1, "annotations": [{"pii_type": "PERSON", "surrogate": "Alex", "start": 3, "end": 7}]}
{"role": "student", "content": "I'm good :)", "session_id": 17169, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "I was wondering if you could check my algebra answers?", "session_id": 17169, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "I can do that show me your work and your answers so we can get started.", "session_id": 17169, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "9. 2\n10. -2\n11. 3\n12. -5", "session_id": 17169, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "I didnt really show any work since it had graphs", "session_id": 17169, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "could you zoom in on the graphs so I can see the numbers?", "session_id": 17169, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "do u need another picture or is that one fine", "session_id": 17169, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "This is fine. Looking at your answers it looks like you got everything correct.", "session_id": 17169, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "cool thank you so much", "session_id": 17169, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "glad I could help", "session_id": 17169, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "I hope u have a good day :)", "session_id": 17169, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "you as well", "session_id": 17169, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "Hello!", "session_id": 16810, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "hello", "session_id": 16810, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "Ive been waiting forever lol", "session_id": 16810, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "what do we have here", "session_id": 16810, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "I am currently working on this, when finished", "session_id": 16810, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "I will let you know", "session_id": 16810, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "got it", "session_id": 16810, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "and then you can check over my answer", "session_id": 16810, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "yea sure ofc", "session_id": 16810, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "can you check the red im gonna work on the blue rn", "session_id": 16810, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "ill be back in 10 okay? ill check over everything as soon as i get back sorry", "session_id": 16810, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "kk!", "session_id": 16810, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "i put it in and its correct now im going to work on a new problem", "session_id": 16810, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "you can check if its right when i finish", "session_id": 16810, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "alright im back", "session_id": 16810, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "hows it going so far", "session_id": 16810, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "Ok this is a new problem that I will need help with I've done the other ones already when I sent that message and theyw ere correct", "session_id": 16810, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "okay good", "session_id": 16810, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "take an attempt at it first and we can go from there", "session_id": 16810, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "Ok", "session_id": 16810, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "is the prt right", "session_id": 16810, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "im take an attempt at it let me see", "session_id": 16810, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "ok", "session_id": 16810, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "p is correct", "session_id": 16810, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "r is a monthly rate so it should be 0.028/12", "session_id": 16810, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "and t is almost there just need to multiply 40 periods which is the total number of payuments", "session_id": 16810, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "yep i'm doing that rn", "session_id": 16810, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "itll show when i finish", "session_id": 16810, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "got it", "session_id": 16810, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "take a look", "session_id": 16810, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "thats perfect", "session_id": 16810, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "just i rounded a little more so mine became 907.83", "session_id": 16810, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "pl", "session_id": 16810, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "907.97", "session_id": 16810, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "you round to nearest cent", "session_id": 16810, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "alright got it", "session_id": 16810, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "nice work", "session_id": 16810, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "can you check blue", "session_id": 16810, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "yes thats correct", "session_id": 16810, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "now which one for c", "session_id": 16810, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "well they want you to try both", "session_id": 16810, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "and see which one has less", "session_id": 16810, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "k", "session_id": 16810, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "so the bank would be cheaper", "session_id": 16810, "sequence_id": 43, "annotations": []}
{"role": "student", "content": "right or wrong", "session_id": 16810, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "yes exactly", "session_id": 16810, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "but did you find out by how much more", "session_id": 16810, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "going to rn", "session_id": 16810, "sequence_id": 47, "annotations": []}
{"role": "student", "content": "48009.8", "session_id": 16810, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "got it", "session_id": 16810, "sequence_id": 49, "annotations": []}
{"role": "student", "content": "is it right?", "session_id": 16810, "sequence_id": 50, "annotations": []}
{"role": "student", "content": "hello?", "session_id": 16810, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "nope c is incorrect", "session_id": 16810, "sequence_id": 52, "annotations": []}
{"role": "student", "content": "oh maybe bc its i pressed blank instead of savings?", "session_id": 16810, "sequence_id": 53, "annotations": []}
{"role": "student", "content": "hello?", "session_id": 16810, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "it should be bank", "session_id": 16810, "sequence_id": 55, "annotations": []}
{"role": "student", "content": "it said it was wrong maybe its my calculation idk", "session_id": 16810, "sequence_id": 56, "annotations": []}
{"role": "student", "content": "can you check over my math", "session_id": 16810, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "my answer was by 48009.60", "session_id": 16810, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "but my rounding is different", "session_id": 16810, "sequence_id": 59, "annotations": []}
{"role": "student", "content": "i dont round", "session_id": 16810, "sequence_id": 60, "annotations": []}
{"role": "student", "content": "until the final answer", "session_id": 16810, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "yea see", "session_id": 16810, "sequence_id": 62, "annotations": []}
{"role": "student", "content": "yeah your not supposed to", "session_id": 16810, "sequence_id": 63, "annotations": []}
{"role": "student", "content": "\"Do not round intermediate computations\"", "session_id": 16810, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "okay let me do it once more", "session_id": 16810, "sequence_id": 65, "annotations": []}
{"role": "student", "content": "kk", "session_id": 16810, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "sorry i didnt see the do not round intermediate computations on the photo you gave me", "session_id": 16810, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "almost done okay", "session_id": 16810, "sequence_id": 68, "annotations": []}
{"role": "student", "content": "ok", "session_id": 16810, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "i gto 48008.88", "session_id": 16810, "sequence_id": 70, "annotations": []}
{"role": "student", "content": "can u show ur calculations on the whiteboard", "session_id": 16810, "sequence_id": 71, "annotations": []}
{"role": "student", "content": "working on a new one rn", "session_id": 16810, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "was i correct?", "session_id": 16810, "sequence_id": 73, "annotations": []}
{"role": "student", "content": "idk bc i put the original answer i had and it said it was wrong i think its bc i pressed savings idont remember", "session_id": 16810, "sequence_id": 74, "annotations": []}
{"role": "volunteer", "content": "hmm okay sorry about that", "session_id": 16810, "sequence_id": 75, "annotations": []}
{"role": "student", "content": "its kk", "session_id": 16810, "sequence_id": 76, "annotations": []}
{"role": "student", "content": "check my math", "session_id": 16810, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "okay let me take a look at it", "session_id": 16810, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "a is correct", "session_id": 16810, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "part b says 8.1% not 7.8% lets try that one again", "session_id": 16810, "sequence_id": 80, "annotations": []}
{"role": "student", "content": "ohh right", "session_id": 16810, "sequence_id": 81, "annotations": []}
{"role": "volunteer", "content": "dont stress it", "session_id": 16810, "sequence_id": 82, "annotations": []}
{"role": "volunteer", "content": "simple mistake thats why im here", "session_id": 16810, "sequence_id": 83, "annotations": []}
{"role": "volunteer", "content": ":)", "session_id": 16810, "sequence_id": 84, "annotations": []}
{"role": "student", "content": "yep!", "session_id": 16810, "sequence_id": 85, "annotations": []}
{"role": "student", "content": "ok take a look", "session_id": 16810, "sequence_id": 86, "annotations": []}
{"role": "volunteer", "content": "perfect", "session_id": 16810, "sequence_id": 87, "annotations": []}
{"role": "volunteer", "content": "thats what i got", "session_id": 16810, "sequence_id": 88, "annotations": []}
{"role": "student", "content": "now c", "session_id": 16810, "sequence_id": 89, "annotations": []}
{"role": "volunteer", "content": "you're getting a hang of it nice", "session_id": 16810, "sequence_id": 90, "annotations": []}
{"role": "student", "content": "is this right", "session_id": 16810, "sequence_id": 91, "annotations": []}
{"role": "student", "content": "yep its right", "session_id": 16810, "sequence_id": 92, "annotations": []}
{"role": "student", "content": "next one", "session_id": 16810, "sequence_id": 93, "annotations": []}
{"role": "student", "content": "can you check my math", "session_id": 16810, "sequence_id": 94, "annotations": []}
{"role": "student", "content": "nvm its correct next problemm", "session_id": 16810, "sequence_id": 95, "annotations": []}
{"role": "volunteer", "content": "sorry im back", "session_id": 16810, "sequence_id": 96, "annotations": []}
{"role": "student", "content": "its ok", "session_id": 16810, "sequence_id": 97, "annotations": []}
{"role": "student", "content": "working on the blue rn", "session_id": 16810, "sequence_id": 98, "annotations": []}
{"role": "volunteer", "content": "got it", "session_id": 16810, "sequence_id": 99, "annotations": []}
{"role": "student", "content": "take a look", "session_id": 16810, "sequence_id": 100, "annotations": []}
{"role": "volunteer", "content": "okay", "session_id": 16810, "sequence_id": 101, "annotations": []}
{"role": "volunteer", "content": "everything looks good to me", "session_id": 16810, "sequence_id": 102, "annotations": []}
{"role": "volunteer", "content": "i got the same answer", "session_id": 16810, "sequence_id": 103, "annotations": []}
{"role": "student", "content": "and its online lending company for c?", "session_id": 16810, "sequence_id": 104, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 16810, "sequence_id": 105, "annotations": []}
{"role": "volunteer", "content": "and what is the total amount less than", "session_id": 16810, "sequence_id": 106, "annotations": []}
{"role": "student", "content": "156.84", "session_id": 16810, "sequence_id": 107, "annotations": []}
{"role": "student", "content": "thank you, its correct!", "session_id": 16810, "sequence_id": 108, "annotations": []}
{"role": "volunteer", "content": "ofc you got it", "session_id": 16810, "sequence_id": 109, "annotations": []}
{"role": "student", "content": "i'm gonna head to english now", "session_id": 16810, "sequence_id": 110, "annotations": []}
{"role": "student", "content": "thank you for your help!", "session_id": 16810, "sequence_id": 111, "annotations": []}
{"role": "volunteer", "content": "okay thats cool", "session_id": 16810, "sequence_id": 112, "annotations": []}
{"role": "volunteer", "content": "good luck!", "session_id": 16810, "sequence_id": 113, "annotations": []}
{"role": "student", "content": "geometry", "session_id": 17332, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "hi David", "session_id": 17332, "sequence_id": 1, "annotations": [{"pii_type": "PERSON", "surrogate": "David", "start": 3, "end": 8}]}
{"role": "student", "content": "Hello, how's it going, sir?", "session_id": 17332, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "Uh, if you have your mic, just let me know.", "session_id": 17332, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "Um, I'm sorry, I'm muted.", "session_id": 17332, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "It's just say though, huh.", "session_id": 17332, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "No, it's already on.", "session_id": 17332, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "my wife is sleeping", "session_id": 17332, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "Do you actually have a mic, sir? Oh.", "session_id": 17332, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "OK. OK, I see.", "session_id": 17332, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "so I need to be quiet", "session_id": 17332, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "Good evening geometer", "session_id": 17361, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "what will we work on today?", "session_id": 17361, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "Is this a real person.", "session_id": 17361, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "What do you think? =))", "session_id": 17361, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "I don\u2019t know I just need help \ud83d\ude41 my mom made me sign up", "session_id": 17361, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "So your goal is to deepen understanding of a topic", "session_id": 17361, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "What would you like to know deeply about?", "session_id": 17361, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "well, don't worry, I only work on your need", "session_id": 17361, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "no matter what, I just serve to help you achieve what you want", "session_id": 17361, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "no judgment, no complaint, no force", "session_id": 17361, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "Okay. So far.. my teacher doesn\u2019t give notes particularly but", "session_id": 17361, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "I have questions talking about midpoints", "session_id": 17361, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "oh", "session_id": 17361, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "And I guess I don\u2019t understand the word problems", "session_id": 17361, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "I\u2019ll give an example of one of the questions:", "session_id": 17361, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "I'm all ears", "session_id": 17361, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "\u201cFind the coordinate of J if K(-5,10) is the midpoint of JL and L has coordinates of (-8,6)\u201d", "session_id": 17361, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "just to make clear, you just have problem understanding the word problem, or you want me to help you understand deeply the midpoint?", "session_id": 17361, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "I suppose both", "session_id": 17361, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "alright", "session_id": 17361, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "I have no notes to review because my teacher doesn\u2019t hand out any. So I have nothing to reference off of", "session_id": 17361, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "don't worry", "session_id": 17361, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "let's treat it as an opportunity to understand deeply midpoint", "session_id": 17361, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "Oh and also to add the JL had a line on top of it", "session_id": 17361, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "I forgot what that stood for", "session_id": 17361, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "just thought I\u2019d mention it because I can\u2019t type that out on keyboard.", "session_id": 17361, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "don't worry, we can draw it out", "session_id": 17361, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "first, tell me what you already know about coordination of point?", "session_id": 17361, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "we will start on what you have already understood", "session_id": 17361, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "Um", "session_id": 17361, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "As in the coordinates it\u2019s mentioned: (-5,10) (-8,6)\u2026.?", "session_id": 17361, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "yeah, you can identify the coordinate. That's great!", "session_id": 17361, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "Oh okay. Yay! \ud83d\ude00", "session_id": 17361, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "so what does (-5,10) and (-8,6)?", "session_id": 17361, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "what do they mean?", "session_id": 17361, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "if you are struggle with describe them by word, you can draw it on the board", "session_id": 17361, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "Oh. I\u2019m still learning this app, okay I see now.", "session_id": 17361, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "wait, I will draw a bigger cxy plane", "session_id": 17361, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "alright", "session_id": 17361, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "what does (-5,10) and (-8,6) mean?", "session_id": 17361, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "feel comfortable to tell me whatever you think", "session_id": 17361, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "(-5,10) represent the midpoint of JL or something", "session_id": 17361, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "that's true, but I mean what do they mean", "session_id": 17361, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "what do they suggest/ definition?", "session_id": 17361, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "for now, just focus on coordination. everything else, including mid point , is the later work", "session_id": 17361, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "For example, if I ask you what does \"point A has coordinate (8,3)\", what do you think?", "session_id": 17361, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "The point on a graph..", "session_id": 17361, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "Or something..", "session_id": 17361, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "that's trueee", "session_id": 17361, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "\ud83d\ude2d", "session_id": 17361, "sequence_id": 49, "annotations": []}
{"role": "student", "content": "Does this all tie into a formal of some sorts", "session_id": 17361, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "Regularly, coodinate prefer to something on the graph", "session_id": 17361, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "Because I think I remember there being a formal. But I honestly not sure if that\u2019s something else..", "session_id": 17361, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "you know it means something on the graph, it is great", "session_id": 17361, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "now, what do the first number and the second number mean?", "session_id": 17361, "sequence_id": 54, "annotations": []}
{"role": "student", "content": "K(-5,10 (-8,6)", "session_id": 17361, "sequence_id": 55, "annotations": []}
{"role": "student", "content": "Oops", "session_id": 17361, "sequence_id": 56, "annotations": []}
{"role": "student", "content": "Hold up mistype", "session_id": 17361, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "it's ok. Happens often", "session_id": 17361, "sequence_id": 58, "annotations": []}
{"role": "student", "content": "I thought you could add a space in lines but I guess not.", "session_id": 17361, "sequence_id": 59, "annotations": []}
{"role": "student", "content": "Erm. Hold up", "session_id": 17361, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "you can try using shift + enter to get to a new line", "session_id": 17361, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "point", "session_id": 17361, "sequence_id": 62, "annotations": []}
{"role": "student", "content": "Okay yeah something like that", "session_id": 17361, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "so you have already know that the first number represents x-coordinate of the point, while the second number indicates the y-coordinate of it", "session_id": 17361, "sequence_id": 64, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 17361, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "now, can you plot the two points on the xy plan that I have provided?", "session_id": 17361, "sequence_id": 66, "annotations": []}
{"role": "student", "content": "Yeah, it might not be directly right because I\u2019m on my phone. So, we\u2019ll see", "session_id": 17361, "sequence_id": 67, "annotations": []}
{"role": "student", "content": "Idk how to zoom in.", "session_id": 17361, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "I can make it bigger if you want", "session_id": 17361, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "Is it enough?", "session_id": 17361, "sequence_id": 70, "annotations": []}
{"role": "student", "content": "Okay. Yeah. I think that\u2019s good", "session_id": 17361, "sequence_id": 71, "annotations": []}
{"role": "student", "content": "\ud83d\ude2d baaalright", "session_id": 17361, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "the first one is correct", "session_id": 17361, "sequence_id": 73, "annotations": []}
{"role": "student", "content": "Okay so that\u2019s that one", "session_id": 17361, "sequence_id": 74, "annotations": []}
{"role": "volunteer", "content": "it's ok", "session_id": 17361, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "I get it", "session_id": 17361, "sequence_id": 76, "annotations": []}
{"role": "student", "content": "Okay \ud83d\ude0e", "session_id": 17361, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "can you write the Capitalized letter next to the point for us to distinguish between them?", "session_id": 17361, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "you can use letter mode", "session_id": 17361, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "it's good to chat on phone because you can use emoji", "session_id": 17361, "sequence_id": 80, "annotations": []}
{"role": "student", "content": "Yeah \ud83d\ude0e", "session_id": 17361, "sequence_id": 81, "annotations": []}
{"role": "student", "content": "Anyways", "session_id": 17361, "sequence_id": 82, "annotations": []}
{"role": "student", "content": "Ok,", "session_id": 17361, "sequence_id": 83, "annotations": []}
{"role": "student", "content": "Maybe not because I can\u2019t really place the text box", "session_id": 17361, "sequence_id": 84, "annotations": []}
{"role": "volunteer", "content": "you did it right. What's wrong?", "session_id": 17361, "sequence_id": 85, "annotations": []}
{"role": "student", "content": "Oh, my end must be different", "session_id": 17361, "sequence_id": 86, "annotations": []}
{"role": "student", "content": "Because it\u2019s not going where I want it to.. but it\u2019s okay", "session_id": 17361, "sequence_id": 87, "annotations": []}
{"role": "volunteer", "content": "actually, I did edit it a little :D", "session_id": 17361, "sequence_id": 88, "annotations": []}
{"role": "student", "content": "Emily", "session_id": 17361, "sequence_id": 89, "annotations": [{"pii_type": "PERSON", "surrogate": "Emily", "start": 0, "end": 5}]}
{"role": "student", "content": "Okay. Idk how to add another box. Soo", "session_id": 17361, "sequence_id": 90, "annotations": []}
{"role": "volunteer", "content": "I can add it for you", "session_id": 17361, "sequence_id": 91, "annotations": []}
{"role": "student", "content": "Okay", "session_id": 17361, "sequence_id": 92, "annotations": []}
{"role": "volunteer", "content": "alright", "session_id": 17361, "sequence_id": 93, "annotations": []}
{"role": "volunteer", "content": "now, turn to midpoint, what is it's definition", "session_id": 17361, "sequence_id": 94, "annotations": []}
{"role": "volunteer", "content": "you got everything about coordination perfectly, let's heat it up", "session_id": 17361, "sequence_id": 95, "annotations": []}
{"role": "student", "content": "The middle of the two lines", "session_id": 17361, "sequence_id": 96, "annotations": []}
{"role": "volunteer", "content": "which line?", "session_id": 17361, "sequence_id": 97, "annotations": []}
{"role": "student", "content": "So wouldn\u2019t that be -5,6", "session_id": 17361, "sequence_id": 98, "annotations": []}
{"role": "student", "content": "Like, the midpoint would be where the two lines cross\u2026 or meet..", "session_id": 17361, "sequence_id": 99, "annotations": []}
{"role": "student", "content": "I think", "session_id": 17361, "sequence_id": 100, "annotations": []}
{"role": "student", "content": "Educated guess \ud83d\ude22", "session_id": 17361, "sequence_id": 101, "annotations": []}
{"role": "volunteer", "content": "ah, I see", "session_id": 17361, "sequence_id": 102, "annotations": []}
{"role": "volunteer", "content": "so what you are thinking of..... is the definition of the intersect point", "session_id": 17361, "sequence_id": 103, "annotations": []}
{"role": "student", "content": "Oh", "session_id": 17361, "sequence_id": 104, "annotations": []}
{"role": "student", "content": "Bruh.", "session_id": 17361, "sequence_id": 105, "annotations": []}
{"role": "volunteer", "content": "oh, I guess looking at the graph make you confuse", "session_id": 17361, "sequence_id": 106, "annotations": []}
{"role": "volunteer", "content": "let's refresh", "session_id": 17361, "sequence_id": 107, "annotations": []}
{"role": "volunteer", "content": "ignore the graph", "session_id": 17361, "sequence_id": 108, "annotations": []}
{"role": "student", "content": "Okay.", "session_id": 17361, "sequence_id": 109, "annotations": []}
{"role": "volunteer", "content": "Literally, what does midpoint mean?", "session_id": 17361, "sequence_id": 110, "annotations": []}
{"role": "student", "content": "The center point..", "session_id": 17361, "sequence_id": 111, "annotations": []}
{"role": "volunteer", "content": "very closeee", "session_id": 17361, "sequence_id": 112, "annotations": []}
{"role": "volunteer", "content": "what does mid short for?", "session_id": 17361, "sequence_id": 113, "annotations": []}
{"role": "student", "content": "Middle. Center point of the lines in the middle", "session_id": 17361, "sequence_id": 114, "annotations": []}
{"role": "student", "content": "Right, right.", "session_id": 17361, "sequence_id": 115, "annotations": []}
{"role": "volunteer", "content": "yeahhhhh", "session_id": 17361, "sequence_id": 116, "annotations": []}
{"role": "student", "content": "\ud83d\ude22", "session_id": 17361, "sequence_id": 117, "annotations": []}
{"role": "volunteer", "content": "so midpoint is the poitn in the middle", "session_id": 17361, "sequence_id": 118, "annotations": []}
{"role": "student", "content": "\ud83d\ude0e let\u2019s go.", "session_id": 17361, "sequence_id": 119, "annotations": []}
{"role": "student", "content": "!", "session_id": 17361, "sequence_id": 120, "annotations": []}
{"role": "volunteer", "content": "between C and D, which one is the midpoint of segment AB?", "session_id": 17361, "sequence_id": 121, "annotations": []}
{"role": "student", "content": "Between c & d\u2026", "session_id": 17361, "sequence_id": 122, "annotations": []}
{"role": "volunteer", "content": "ah, I forgot to tell you to get backto the graph", "session_id": 17361, "sequence_id": 123, "annotations": []}
{"role": "volunteer", "content": "sorry, my bad", "session_id": 17361, "sequence_id": 124, "annotations": []}
{"role": "student", "content": "Like, the number on the graph or something.", "session_id": 17361, "sequence_id": 125, "annotations": []}
{"role": "student", "content": "Idk \ud83d\ude2d", "session_id": 17361, "sequence_id": 126, "annotations": []}
{"role": "volunteer", "content": "using our definition \"midpoint is the point in the middle\", what is your guess", "session_id": 17361, "sequence_id": 127, "annotations": []}
{"role": "volunteer", "content": "i saw you draw a red line, that is a good approach", "session_id": 17361, "sequence_id": 128, "annotations": []}
{"role": "student", "content": "I\u2019m over thinking- this gotta be easier than it sounds I\u2019m sure. But lowkey idk", "session_id": 17361, "sequence_id": 129, "annotations": []}
{"role": "volunteer", "content": "no problem", "session_id": 17361, "sequence_id": 130, "annotations": []}
{"role": "volunteer", "content": "your effort is really good", "session_id": 17361, "sequence_id": 131, "annotations": []}
{"role": "volunteer", "content": "so, between C and D, which one seem being closer to the middle of AB?", "session_id": 17361, "sequence_id": 132, "annotations": []}
{"role": "student", "content": "Um", "session_id": 17361, "sequence_id": 133, "annotations": []}
{"role": "student", "content": "3 & 9", "session_id": 17361, "sequence_id": 134, "annotations": []}
{"role": "student", "content": "A= 3", "session_id": 17361, "sequence_id": 135, "annotations": []}
{"role": "student", "content": "B=9", "session_id": 17361, "sequence_id": 136, "annotations": []}
{"role": "volunteer", "content": "actually B=10", "session_id": 17361, "sequence_id": 137, "annotations": []}
{"role": "student", "content": "So uh", "session_id": 17361, "sequence_id": 138, "annotations": []}
{"role": "student", "content": "6", "session_id": 17361, "sequence_id": 139, "annotations": []}
{"role": "student", "content": "Oh", "session_id": 17361, "sequence_id": 140, "annotations": []}
{"role": "volunteer", "content": "I did it on purpose", "session_id": 17361, "sequence_id": 141, "annotations": []}
{"role": "student", "content": "My bad 10", "session_id": 17361, "sequence_id": 142, "annotations": []}
{"role": "volunteer", "content": "because I just expect you to observe the xy plane", "session_id": 17361, "sequence_id": 143, "annotations": []}
{"role": "student", "content": "Ok-", "session_id": 17361, "sequence_id": 144, "annotations": []}
{"role": "volunteer", "content": "so, which one do you think, C or D?", "session_id": 17361, "sequence_id": 145, "annotations": []}
{"role": "student", "content": "C", "session_id": 17361, "sequence_id": 146, "annotations": []}
{"role": "student", "content": "Idk", "session_id": 17361, "sequence_id": 147, "annotations": []}
{"role": "student", "content": "C closer to A so uh", "session_id": 17361, "sequence_id": 148, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 17361, "sequence_id": 149, "annotations": []}
{"role": "student", "content": "\ud83d\ude2d", "session_id": 17361, "sequence_id": 150, "annotations": []}
{"role": "volunteer", "content": "oh, that's a point", "session_id": 17361, "sequence_id": 151, "annotations": []}
{"role": "volunteer", "content": "however, let's check it again", "session_id": 17361, "sequence_id": 152, "annotations": []}
{"role": "volunteer", "content": "my question is which one is midpoint", "session_id": 17361, "sequence_id": 153, "annotations": []}
{"role": "student", "content": "Do you want a number", "session_id": 17361, "sequence_id": 154, "annotations": []}
{"role": "volunteer", "content": "if you prefer number, yes", "session_id": 17361, "sequence_id": 155, "annotations": []}
{"role": "student", "content": "Idk if I\u2019m even on the right track", "session_id": 17361, "sequence_id": 156, "annotations": []}
{"role": "volunteer", "content": "it's ok", "session_id": 17361, "sequence_id": 157, "annotations": []}
{"role": "volunteer", "content": "I usually lost when I first faced geometry too", "session_id": 17361, "sequence_id": 158, "annotations": []}
{"role": "student", "content": "Yeah, I can\u2019t really keep blaming myself because the teacher I have sucks", "session_id": 17361, "sequence_id": 159, "annotations": []}
{"role": "student", "content": "So imma guess the middle of C & D if it were a number be 6", "session_id": 17361, "sequence_id": 160, "annotations": []}
{"role": "student", "content": "Because if that\u2019s not it. Then lowkey idk what else would be the middle", "session_id": 17361, "sequence_id": 161, "annotations": []}
{"role": "volunteer", "content": "my question may be a little bit hard", "session_id": 17361, "sequence_id": 162, "annotations": []}
{"role": "volunteer", "content": "let's work on another question", "session_id": 17361, "sequence_id": 163, "annotations": []}
{"role": "student", "content": "No it\u2019s probably not. I just don\u2019t understand", "session_id": 17361, "sequence_id": 164, "annotations": []}
{"role": "volunteer", "content": "what do you think is the middle of 3 and 10?\nchoice A: 5\nchoice B: 6.5", "session_id": 17361, "sequence_id": 165, "annotations": []}
{"role": "student", "content": "So 3+10=13", "session_id": 17361, "sequence_id": 166, "annotations": []}
{"role": "volunteer", "content": "good approach", "session_id": 17361, "sequence_id": 167, "annotations": []}
{"role": "student", "content": "13\\2", "session_id": 17361, "sequence_id": 168, "annotations": []}
{"role": "student", "content": "6.5", "session_id": 17361, "sequence_id": 169, "annotations": []}
{"role": "volunteer", "content": "trueee", "session_id": 17361, "sequence_id": 170, "annotations": []}
{"role": "student", "content": "Was that it this whole time \ud83d\ude2d", "session_id": 17361, "sequence_id": 171, "annotations": []}
{"role": "volunteer", "content": "by using formula, you figure out the middle number between 3 and 10", "session_id": 17361, "sequence_id": 172, "annotations": []}
{"role": "student", "content": "Yeah.", "session_id": 17361, "sequence_id": 173, "annotations": []}
{"role": "volunteer", "content": "Now, if i ask you: \"the middle number of 3 and a number x is 7, what is x?\" what will be your guess", "session_id": 17361, "sequence_id": 174, "annotations": []}
{"role": "volunteer", "content": "you can use the board", "session_id": 17361, "sequence_id": 175, "annotations": []}
{"role": "volunteer", "content": "to create equation", "session_id": 17361, "sequence_id": 176, "annotations": []}
{"role": "student", "content": "11", "session_id": 17361, "sequence_id": 177, "annotations": []}
{"role": "volunteer", "content": "Correct!", "session_id": 17361, "sequence_id": 178, "annotations": []}
{"role": "volunteer", "content": "how do you get it?", "session_id": 17361, "sequence_id": 179, "annotations": []}
{"role": "student", "content": "Chris", "session_id": 17361, "sequence_id": 180, "annotations": [{"pii_type": "PERSON", "surrogate": "Chris", "start": 0, "end": 5}]}
{"role": "volunteer", "content": "you get it if it is 1-dimension", "session_id": 17361, "sequence_id": 181, "annotations": []}
{"role": "student", "content": "I that part now", "session_id": 17361, "sequence_id": 182, "annotations": []}
{"role": "volunteer", "content": "let's work on 2-dimension", "session_id": 17361, "sequence_id": 183, "annotations": []}
{"role": "student", "content": "Oh boy", "session_id": 17361, "sequence_id": 184, "annotations": []}
{"role": "student", "content": "Oh, my phone turns off at 9:50", "session_id": 17361, "sequence_id": 185, "annotations": []}
{"role": "student", "content": "I\u2019m cookedddd", "session_id": 17361, "sequence_id": 186, "annotations": []}
{"role": "volunteer", "content": "oh, Let's speed it up", "session_id": 17361, "sequence_id": 187, "annotations": []}
{"role": "student", "content": "Okay \ud83d\udc4d", "session_id": 17361, "sequence_id": 188, "annotations": []}
{"role": "volunteer", "content": "alright", "session_id": 17361, "sequence_id": 189, "annotations": []}
{"role": "volunteer", "content": "what is the midpoint of A and B?", "session_id": 17361, "sequence_id": 190, "annotations": []}
{"role": "volunteer", "content": "hint, work on each dimension", "session_id": 17361, "sequence_id": 191, "annotations": []}
{"role": "volunteer", "content": "dimension x and dimension y", "session_id": 17361, "sequence_id": 192, "annotations": []}
{"role": "volunteer", "content": "Hello, are you there", "session_id": 17361, "sequence_id": 193, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 17361, "sequence_id": 194, "annotations": []}
{"role": "student", "content": "I wrote it", "session_id": 17361, "sequence_id": 195, "annotations": []}
{"role": "volunteer", "content": "that's trueee", "session_id": 17361, "sequence_id": 196, "annotations": []}
{"role": "volunteer", "content": "brilliant", "session_id": 17361, "sequence_id": 197, "annotations": []}
{"role": "student", "content": "Welp I gotta go in a minute", "session_id": 17361, "sequence_id": 198, "annotations": []}
{"role": "student", "content": "But thanks for helping!", "session_id": 17361, "sequence_id": 199, "annotations": []}
{"role": "volunteer", "content": "you're welcome", "session_id": 17361, "sequence_id": 200, "annotations": []}
{"role": "volunteer", "content": "you get everything perfect", "session_id": 17361, "sequence_id": 201, "annotations": []}
{"role": "volunteer", "content": "keep going on", "session_id": 17361, "sequence_id": 202, "annotations": []}
{"role": "volunteer", "content": "good night", "session_id": 17361, "sequence_id": 203, "annotations": []}
{"role": "volunteer", "content": "feel free to make request at any time ;)", "session_id": 17361, "sequence_id": 204, "annotations": []}
{"role": "volunteer", "content": "Hello, What can I help with today?", "session_id": 13220, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "I have a few worksheets that I need to get done by tomorrow", "session_id": 13220, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "Sure do you want to start with a specific problem?", "session_id": 13220, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "Yes please, I can send you a picture", "session_id": 13220, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "Ok sounds good", "session_id": 13220, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "Did that go through?", "session_id": 13220, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "Yes I see I can see it now", "session_id": 13220, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "So the first step is to try to combine the like terms", "session_id": 13220, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "Do you know how to do this", "session_id": 13220, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "Not really", "session_id": 13220, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "We learned it in class but I have a hard time in math", "session_id": 13220, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "Ok thats fine ill explain it here for you:", "session_id": 13220, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "For our problem the two types of terms we have are a number with a variable and just the number", "session_id": 13220, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "so 2b and -9b are both with b's, and 4 and -18 are both that are just numbers", "session_id": 13220, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "those are like terms, does that make sense?", "session_id": 13220, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 13220, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "Ok so to combine those terms we have to get all the numbers with b's on one side of the equation and all the normal numbers on the other side", "session_id": 13220, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "So based off of this how do you think we can move one of the b's on the other side?", "session_id": 13220, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "I\u2019m not sure", "session_id": 13220, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "Ok I can help", "session_id": 13220, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "Do you add something?", "session_id": 13220, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "Yes you can start with that", "session_id": 13220, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "So we could add 9b to the other side of the equation to 2b", "session_id": 13220, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "to combine those like terms", "session_id": 13220, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "Do you want me to draw these steps as we go?", "session_id": 13220, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "Yes please", "session_id": 13220, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "Ok sounds good", "session_id": 13220, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "So the lines i drew are saying that those terms are like terms and we can combine them", "session_id": 13220, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "You can do it in any order because its addition in subtraction, but I will start with adding 9b to 2b", "session_id": 13220, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "Do you understand why we do that?", "session_id": 13220, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "So now we have 11b + 4 = -18", "session_id": 13220, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "What do you think we can combine next?", "session_id": 13220, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "Add the 18 or minus 4?", "session_id": 13220, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "Yes I would minus 4 so we can have all the b's on one side of the = and the normal constants on the other side", "session_id": 13220, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "Because at the end we have to solve for b, by getting it by itself", "session_id": 13220, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "now its 11b = -22", "session_id": 13220, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "How can we get b by itself?", "session_id": 13220, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "Add 11b and -22?", "session_id": 13220, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "Think about it this way: right now 11 is being multiplied by b.", "session_id": 13220, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "how do you undo multiplication?", "session_id": 13220, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "Divide?", "session_id": 13220, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "Yes so what would the equation look like now?", "session_id": 13220, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "11b divided by 22", "session_id": 13220, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "-22", "session_id": 13220, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "If we did it that way the equation would be 11b/-22, but remember we want to get b by itself", "session_id": 13220, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "So we could divide 11b by 11 so 11b/11 = b and -22/11", "session_id": 13220, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "Does that make sense?", "session_id": 13220, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "I think so", "session_id": 13220, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "Do you have another one we can go over like this?", "session_id": 13220, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "So this time you can go through the steps and I can help where you get stuck", "session_id": 13220, "sequence_id": 49, "annotations": []}
{"role": "student", "content": "Ok", "session_id": 13220, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "Do you want to draw too so i can see your steps?", "session_id": 13220, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "Sure", "session_id": 13220, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "Ok great, let me know if you get stuck somewhere and ill let you know if i see something too", "session_id": 13220, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "Ok for this first step I noticed that you are trying to subtract by 9 right?", "session_id": 13220, "sequence_id": 54, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 13220, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "There is one problem with this, (3+B) is inside a parenthesis. Meaning that you cannot move anything until you solve for the parenthesis", "session_id": 13220, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "Do you know the phrase PEMDAS?", "session_id": 13220, "sequence_id": 57, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 13220, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "Ok that is the order of steps to solve for", "session_id": 13220, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "so P is first, parenthesis", "session_id": 13220, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "So we have (3+b) and it is simplified, so we look outside the parenthesis", "session_id": 13220, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "do you see something that is being multiplied with the parenthesis", "session_id": 13220, "sequence_id": 62, "annotations": []}
{"role": "student", "content": "So do that first?", "session_id": 13220, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "Yes do you see what Im talking about that is being multiplied by the (3+b)?", "session_id": 13220, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "if not i can show it by drawing", "session_id": 13220, "sequence_id": 65, "annotations": []}
{"role": "student", "content": "Can you show me?", "session_id": 13220, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "Yes", "session_id": 13220, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "That part i underlined is the first step. the - is actually just a -1(3+b)", "session_id": 13220, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "Do you understand how that can multiply", "session_id": 13220, "sequence_id": 69, "annotations": []}
{"role": "student", "content": "Is it the -1 instead of the b\u201d", "session_id": 13220, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "Yes because we cant do anything with the b and the parenthesis because its on the other side of the equation", "session_id": 13220, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "But we can multiply -1 with (3+b) because they are touching", "session_id": 13220, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "Do you want to write out what the equation will be after this step?", "session_id": 13220, "sequence_id": 73, "annotations": []}
{"role": "student", "content": "Is it -3?", "session_id": 13220, "sequence_id": 74, "annotations": []}
{"role": "volunteer", "content": "Yes", "session_id": 13220, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "We still have the 8 and the other b from inside the parenthesis too", "session_id": 13220, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "Are you stuck on a part?", "session_id": 13220, "sequence_id": 77, "annotations": []}
{"role": "student", "content": "Yeah I just don\u2019t know what to write out next", "session_id": 13220, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "Ok so after we multiplied the -1(3+b) what does this become", "session_id": 13220, "sequence_id": 79, "annotations": []}
{"role": "student", "content": "-3b?", "session_id": 13220, "sequence_id": 80, "annotations": []}
{"role": "volunteer", "content": "well it was 3+b at first right?", "session_id": 13220, "sequence_id": 81, "annotations": []}
{"role": "volunteer", "content": "so multiplying both by -1", "session_id": 13220, "sequence_id": 82, "annotations": []}
{"role": "volunteer", "content": "-3-b", "session_id": 13220, "sequence_id": 83, "annotations": []}
{"role": "volunteer", "content": "it just switches from + to -", "session_id": 13220, "sequence_id": 84, "annotations": []}
{"role": "volunteer", "content": "does that make sense", "session_id": 13220, "sequence_id": 85, "annotations": []}
{"role": "volunteer", "content": "3 x -1 = -3, and b x -1 = -b", "session_id": 13220, "sequence_id": 86, "annotations": []}
{"role": "student", "content": "I\u2019m sorry, I have to go, thank you for your help today!", "session_id": 13220, "sequence_id": 87, "annotations": []}
{"role": "student", "content": "ASAP", "session_id": 13233, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "I had a tutor but he left bc I wasn't answering him", "session_id": 13233, "sequence_id": 1, "annotations": [{"pii_type": "PERSON", "surrogate": "a tutor", "start": 6, "end": 13}]}
{"role": "volunteer", "content": "Please give me 2 mins", "session_id": 13233, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "Hi can you clear the whiteboard and post the question again? It is messed up at my end", "session_id": 13233, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "can u see the board", "session_id": 13233, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "the whiteboard is clear. have you posted the question again?", "session_id": 13233, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "ok I see it but I need to zoom in", "session_id": 13233, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "ok this is perfect thanks", "session_id": 13233, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "no need to make it bigger", "session_id": 13233, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "which question do you need help with?", "session_id": 13233, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "1.c", "session_id": 13233, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "ok so the ball is on the ground and y=0 on 2 occasions. 1) when it is kicked and 2) when it hits the ground", "session_id": 13233, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "so in that case you need to solve for 0 = -6*t^2+11t+3", "session_id": 13233, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "can you solve this quadratic equation?", "session_id": 13233, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "for a. it is 6 feet", "session_id": 13233, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "and b. it is 0.9167", "session_id": 13233, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "how did you solve for a?", "session_id": 13233, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "I plug in 1.5 for t", "session_id": 13233, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "that is the correct approach", "session_id": 13233, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "so yes the answer is right", "session_id": 13233, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "how did you solve for b/?", "session_id": 13233, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "0.9167 is right but I am curious how you got to it", "session_id": 13233, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "t=-6/2a", "session_id": 13233, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "perfct", "session_id": 13233, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "ok no on to (c) as I said solve the quadratic for y =0", "session_id": 13233, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "what do you  get as the two values of t", "session_id": 13233, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "I don't know to do this one", "session_id": 13233, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "for a standard equation ax\u00b2 + bx + c = 0, have you seen this formula before?", "session_id": 13233, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "x = [\u2212b \u00b1 \u221a(b\u00b2 \u2212 4ac)] / 2a", "session_id": 13233, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "?", "session_id": 13233, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "how to do that", "session_id": 13233, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "can you see my scribbles on the whiteboard?", "session_id": 13233, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "let me know if you are following", "session_id": 13233, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "yes", "session_id": 13233, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "this is a lot of work I have a test tues", "session_id": 13233, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "so far so good?", "session_id": 13233, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "yes", "session_id": 13233, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "so we plugin for a and b and c", "session_id": 13233, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "that's a lot of work", "session_id": 13233, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "r we plugging in the number yet", "session_id": 13233, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "thats the final equation for a quadratic", "session_id": 13233, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "which I typed 15 minutes ago but you had no clue about. so I took 15 minutes to explain how we get to that equation", "session_id": 13233, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "ok", "session_id": 13233, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "if you now plug in a b and c, you will get two values of t", "session_id": 13233, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "one negative one positive", "session_id": 13233, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "that is a lot", "session_id": 13233, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "the difference between the two times is when how long the ball is in the air", "session_id": 13233, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "hey if it had been that easy, you wouldnt be here asking me about it", "session_id": 13233, "sequence_id": 47, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 13233, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "the equation I have derived is the most generic quadratic equation applicable for all equations of the type ax^2 = bx +c =0", "session_id": 13233, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "ax^2+bx+c =0", "session_id": 13233, "sequence_id": 50, "annotations": []}
{"role": "student", "content": "-1.18+ or sqrt^2-4(0.01x^2) (2)", "session_id": 13233, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "like that", "session_id": 13233, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "you might want to double check the calculation", "session_id": 13233, "sequence_id": 53, "annotations": []}
{"role": "student", "content": "no that the calculation it is the equation written out", "session_id": 13233, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "ok cool", "session_id": 13233, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "so what are the two values you are getting?", "session_id": 13233, "sequence_id": 56, "annotations": []}
{"role": "student", "content": "can u do this with me on the whiteboard", "session_id": 13233, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "what are the values a, b and c in our equation?", "session_id": 13233, "sequence_id": 58, "annotations": []}
{"role": "student", "content": "a=0.01x^2 and b= 1.18x c=2", "session_id": 13233, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "no", "session_id": 13233, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "-6t^2+11t+3=0", "session_id": 13233, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "thats our equation, do you agree?", "session_id": 13233, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "so if you were to compare that with ax^2+bx+c=0, what would the values of a.b and c be?", "session_id": 13233, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "a, b and c", "session_id": 13233, "sequence_id": 64, "annotations": []}
{"role": "student", "content": "what?", "session_id": 13233, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "are you following what I am asking?", "session_id": 13233, "sequence_id": 66, "annotations": []}
{"role": "student", "content": "yes I am following", "session_id": 13233, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "so whats a b and c in our equation?", "session_id": 13233, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "those are the coefficients", "session_id": 13233, "sequence_id": 69, "annotations": []}
{"role": "student", "content": "-6, 11, 3", "session_id": 13233, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "correct!", "session_id": 13233, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "so now plug those values in the generic equation I derived to get the two values of t", "session_id": 13233, "sequence_id": 72, "annotations": []}
{"role": "student", "content": "so u can get ur answer by the graph 2.074 seconds", "session_id": 13233, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "thats the positive value", "session_id": 13233, "sequence_id": 74, "annotations": []}
{"role": "volunteer", "content": "whats the negative value", "session_id": 13233, "sequence_id": 75, "annotations": []}
{"role": "student", "content": "do we have to have the positive and negative", "session_id": 13233, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 13233, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "I will explain why", "session_id": 13233, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "you see the ball could have only been at the ground when it was kicked and when it hit the ground", "session_id": 13233, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "on the ground*", "session_id": 13233, "sequence_id": 80, "annotations": []}
{"role": "volunteer", "content": "ball on the ground implies y =0", "session_id": 13233, "sequence_id": 81, "annotations": []}
{"role": "volunteer", "content": "agree?", "session_id": 13233, "sequence_id": 82, "annotations": []}
{"role": "volunteer", "content": "when you solve for both values of t, you know at what exact times the ball was on the ground", "session_id": 13233, "sequence_id": 83, "annotations": []}
{"role": "volunteer", "content": "when you subtract one from the other, you know how long the ball was in the air", "session_id": 13233, "sequence_id": 84, "annotations": []}
{"role": "volunteer", "content": "so whats the negative value?", "session_id": 13233, "sequence_id": 85, "annotations": []}
{"role": "student", "content": "I don't know", "session_id": 13233, "sequence_id": 86, "annotations": []}
{"role": "volunteer", "content": "What's b^2 - 4ac", "session_id": 13233, "sequence_id": 87, "annotations": []}
{"role": "student", "content": "idk", "session_id": 13233, "sequence_id": 88, "annotations": []}
{"role": "volunteer", "content": "a=-6, b=11 c=3", "session_id": 13233, "sequence_id": 89, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 13233, "sequence_id": 90, "annotations": []}
{"role": "volunteer", "content": "You should be able to solve the (-b - sqrt(b^2-4ac))/2a", "session_id": 13233, "sequence_id": 91, "annotations": []}
{"role": "volunteer", "content": "Check the equation I derived", "session_id": 13233, "sequence_id": 92, "annotations": []}
{"role": "volunteer", "content": "You already have (-b + sqrt(b^2-4ac))/2a", "session_id": 13233, "sequence_id": 93, "annotations": []}
{"role": "volunteer", "content": "Which is 2.074 (you told me the answer)", "session_id": 13233, "sequence_id": 94, "annotations": []}
{"role": "volunteer", "content": "Now give me (-b - sqrt(b^2-4ac))/2a", "session_id": 13233, "sequence_id": 95, "annotations": []}
{"role": "student", "content": "how to do that", "session_id": 13233, "sequence_id": 96, "annotations": []}
{"role": "volunteer", "content": "Do you know how to get the square root of a number on your calculator?", "session_id": 13233, "sequence_id": 97, "annotations": []}
{"role": "student", "content": "yes", "session_id": 13233, "sequence_id": 98, "annotations": []}
{"role": "volunteer", "content": "ok what is b-squared - (4 times a times c)", "session_id": 13233, "sequence_id": 99, "annotations": []}
{"role": "volunteer", "content": "b*b - (4ac)", "session_id": 13233, "sequence_id": 100, "annotations": []}
{"role": "volunteer", "content": "Give me that first", "session_id": 13233, "sequence_id": 101, "annotations": []}
{"role": "student", "content": "11^2", "session_id": 13233, "sequence_id": 102, "annotations": []}
{"role": "student", "content": "121", "session_id": 13233, "sequence_id": 103, "annotations": []}
{"role": "student", "content": "is that right", "session_id": 13233, "sequence_id": 104, "annotations": []}
{"role": "volunteer", "content": "That's b^2", "session_id": 13233, "sequence_id": 105, "annotations": []}
{"role": "volunteer", "content": "Keep going", "session_id": 13233, "sequence_id": 106, "annotations": []}
{"role": "student", "content": "what do you mean", "session_id": 13233, "sequence_id": 107, "annotations": []}
{"role": "volunteer", "content": "What's the result of b*b - (4ac)", "session_id": 13233, "sequence_id": 108, "annotations": []}
{"role": "student", "content": "4(-6)(#)", "session_id": 13233, "sequence_id": 109, "annotations": []}
{"role": "student", "content": "144-72", "session_id": 13233, "sequence_id": 110, "annotations": []}
{"role": "student", "content": "like that", "session_id": 13233, "sequence_id": 111, "annotations": []}
{"role": "volunteer", "content": "You 121 - (-72)", "session_id": 13233, "sequence_id": 112, "annotations": []}
{"role": "student", "content": "yes", "session_id": 13233, "sequence_id": 113, "annotations": []}
{"role": "student", "content": "193", "session_id": 13233, "sequence_id": 114, "annotations": []}
{"role": "volunteer", "content": "Now square root of that", "session_id": 13233, "sequence_id": 115, "annotations": []}
{"role": "student", "content": "13.89", "session_id": 13233, "sequence_id": 116, "annotations": []}
{"role": "volunteer", "content": "Subtract b from it", "session_id": 13233, "sequence_id": 117, "annotations": []}
{"role": "student", "content": "11-13.89", "session_id": 13233, "sequence_id": 118, "annotations": []}
{"role": "student", "content": "-2.89", "session_id": 13233, "sequence_id": 119, "annotations": []}
{"role": "volunteer", "content": "No hold on. Its -b- sqrt(b^2-4ac)", "session_id": 13233, "sequence_id": 120, "annotations": []}
{"role": "student", "content": "11-193", "session_id": 13233, "sequence_id": 121, "annotations": []}
{"role": "student", "content": "-182", "session_id": 13233, "sequence_id": 122, "annotations": []}
{"role": "volunteer", "content": "No. b=11", "session_id": 13233, "sequence_id": 123, "annotations": []}
{"role": "student", "content": "193-11", "session_id": 13233, "sequence_id": 124, "annotations": []}
{"role": "volunteer", "content": "So from my equation", "session_id": 13233, "sequence_id": 125, "annotations": []}
{"role": "student", "content": "182", "session_id": 13233, "sequence_id": 126, "annotations": []}
{"role": "volunteer", "content": "-11-sqrt(193)", "session_id": 13233, "sequence_id": 127, "annotations": []}
{"role": "student", "content": "-152.81", "session_id": 13233, "sequence_id": 128, "annotations": []}
{"role": "volunteer", "content": "Give me sort sqrt one more time", "session_id": 13233, "sequence_id": 129, "annotations": []}
{"role": "volunteer", "content": "sqrt", "session_id": 13233, "sequence_id": 130, "annotations": []}
{"role": "student", "content": "13.89", "session_id": 13233, "sequence_id": 131, "annotations": []}
{"role": "volunteer", "content": "So -11-13.89", "session_id": 13233, "sequence_id": 132, "annotations": []}
{"role": "student", "content": "-24.89", "session_id": 13233, "sequence_id": 133, "annotations": []}
{"role": "student", "content": "is that right", "session_id": 13233, "sequence_id": 134, "annotations": []}
{"role": "volunteer", "content": "Now divide this by 2a", "session_id": 13233, "sequence_id": 135, "annotations": []}
{"role": "student", "content": "-2.074", "session_id": 13233, "sequence_id": 136, "annotations": []}
{"role": "student", "content": "is  that right", "session_id": 13233, "sequence_id": 137, "annotations": []}
{"role": "student", "content": "u there", "session_id": 13233, "sequence_id": 138, "annotations": []}
{"role": "volunteer", "content": "No", "session_id": 13233, "sequence_id": 139, "annotations": []}
{"role": "volunteer", "content": "Whats 2a?", "session_id": 13233, "sequence_id": 140, "annotations": []}
{"role": "student", "content": "2(0.01", "session_id": 13233, "sequence_id": 141, "annotations": []}
{"role": "volunteer", "content": "2 times a", "session_id": 13233, "sequence_id": 142, "annotations": []}
{"role": "student", "content": "-2489", "session_id": 13233, "sequence_id": 143, "annotations": []}
{"role": "volunteer", "content": "Whats a", "session_id": 13233, "sequence_id": 144, "annotations": []}
{"role": "student", "content": "-6", "session_id": 13233, "sequence_id": 145, "annotations": []}
{"role": "student", "content": "-6x2", "session_id": 13233, "sequence_id": 146, "annotations": []}
{"role": "volunteer", "content": "Good. Sk whats 2a", "session_id": 13233, "sequence_id": 147, "annotations": []}
{"role": "student", "content": "207.41", "session_id": 13233, "sequence_id": 148, "annotations": []}
{"role": "volunteer", "content": "-6x2 = ?", "session_id": 13233, "sequence_id": 149, "annotations": []}
{"role": "student", "content": "-12", "session_id": 13233, "sequence_id": 150, "annotations": []}
{"role": "volunteer", "content": "So that's 2a", "session_id": 13233, "sequence_id": 151, "annotations": []}
{"role": "student", "content": "-24.89/-12", "session_id": 13233, "sequence_id": 152, "annotations": []}
{"role": "volunteer", "content": "Yes whats the answer", "session_id": 13233, "sequence_id": 153, "annotations": []}
{"role": "student", "content": "207.41", "session_id": 13233, "sequence_id": 154, "annotations": []}
{"role": "student", "content": "207.416", "session_id": 13233, "sequence_id": 155, "annotations": []}
{"role": "volunteer", "content": "How can 24/12 be equal to 2?", "session_id": 13233, "sequence_id": 156, "annotations": []}
{"role": "student", "content": "2 but I did the decimal", "session_id": 13233, "sequence_id": 157, "annotations": []}
{"role": "volunteer", "content": "-24.89/-12 = 24.89/12 = ?", "session_id": 13233, "sequence_id": 158, "annotations": []}
{"role": "volunteer", "content": "Do it again", "session_id": 13233, "sequence_id": 159, "annotations": []}
{"role": "student", "content": "2.074", "session_id": 13233, "sequence_id": 160, "annotations": []}
{"role": "volunteer", "content": "Does that match the positive value of t you gave me?", "session_id": 13233, "sequence_id": 161, "annotations": []}
{"role": "student", "content": "yes", "session_id": 13233, "sequence_id": 162, "annotations": []}
{"role": "volunteer", "content": "Perfect. Now let's do the other value.", "session_id": 13233, "sequence_id": 163, "annotations": []}
{"role": "student", "content": "so for the equation -b/2a", "session_id": 13233, "sequence_id": 164, "annotations": []}
{"role": "volunteer", "content": "What was sqrt (b^2 -4ac)", "session_id": 13233, "sequence_id": 165, "annotations": []}
{"role": "student", "content": "-b is -11", "session_id": 13233, "sequence_id": 166, "annotations": []}
{"role": "volunteer", "content": "You solved the sort above", "session_id": 13233, "sequence_id": 167, "annotations": []}
{"role": "volunteer", "content": "Sqrt*", "session_id": 13233, "sequence_id": 168, "annotations": []}
{"role": "student", "content": "I forgot", "session_id": 13233, "sequence_id": 169, "annotations": []}
{"role": "volunteer", "content": "The other value of t is", "session_id": 13233, "sequence_id": 170, "annotations": []}
{"role": "volunteer", "content": "(-b + sort (b^2-4ac))/2a", "session_id": 13233, "sequence_id": 171, "annotations": []}
{"role": "student", "content": "13.89", "session_id": 13233, "sequence_id": 172, "annotations": []}
{"role": "volunteer", "content": "Good. So whats -b + 13.89", "session_id": 13233, "sequence_id": 173, "annotations": []}
{"role": "student", "content": "can u see the board", "session_id": 13233, "sequence_id": 174, "annotations": []}
{"role": "volunteer", "content": "No this is simple subtraction", "session_id": 13233, "sequence_id": 175, "annotations": []}
{"role": "volunteer", "content": "Do it on chat", "session_id": 13233, "sequence_id": 176, "annotations": []}
{"role": "student", "content": "it on the worksheet that is on the white board", "session_id": 13233, "sequence_id": 177, "annotations": []}
{"role": "volunteer", "content": "What is -b + 13.89 where b =11 ?", "session_id": 13233, "sequence_id": 178, "annotations": []}
{"role": "student", "content": "t=-b/2a", "session_id": 13233, "sequence_id": 179, "annotations": []}
{"role": "student", "content": "what to plug in for that", "session_id": 13233, "sequence_id": 180, "annotations": []}
{"role": "volunteer", "content": "Can you please follow my chat and answer my question?", "session_id": 13233, "sequence_id": 181, "annotations": []}
{"role": "student", "content": "yes", "session_id": 13233, "sequence_id": 182, "annotations": []}
{"role": "student", "content": "24.89", "session_id": 13233, "sequence_id": 183, "annotations": []}
{"role": "student", "content": "ok can u answer my question", "session_id": 13233, "sequence_id": 184, "annotations": []}
{"role": "volunteer", "content": "Wrong. Please do it again", "session_id": 13233, "sequence_id": 185, "annotations": []}
{"role": "student", "content": "2.89", "session_id": 13233, "sequence_id": 186, "annotations": []}
{"role": "volunteer", "content": "Now divide by 2a", "session_id": 13233, "sequence_id": 187, "annotations": []}
{"role": "volunteer", "content": "2.89/2a", "session_id": 13233, "sequence_id": 188, "annotations": []}
{"role": "student", "content": "0.240", "session_id": 13233, "sequence_id": 189, "annotations": []}
{"role": "volunteer", "content": "Negative or positive?", "session_id": 13233, "sequence_id": 190, "annotations": []}
{"role": "student", "content": "-", "session_id": 13233, "sequence_id": 191, "annotations": []}
{"role": "student", "content": "-0.24083", "session_id": 13233, "sequence_id": 192, "annotations": []}
{"role": "volunteer", "content": "Ok what are the two values of t we have derived?", "session_id": 13233, "sequence_id": 193, "annotations": []}
{"role": "student", "content": "so I am confused on the fierst", "session_id": 13233, "sequence_id": 194, "annotations": []}
{"role": "volunteer", "content": "Let's get the answer first and then I will go over whatever is confusing you", "session_id": 13233, "sequence_id": 195, "annotations": []}
{"role": "volunteer", "content": "What are the two values of t", "session_id": 13233, "sequence_id": 196, "annotations": []}
{"role": "student", "content": "-0.24083 and 2.074", "session_id": 13233, "sequence_id": 197, "annotations": []}
{"role": "student", "content": "so how did we get 2.074", "session_id": 13233, "sequence_id": 198, "annotations": []}
{"role": "volunteer", "content": "Correct. So the total time that the ball was in the air is 2.074 -(-0.24083)", "session_id": 13233, "sequence_id": 199, "annotations": []}
{"role": "volunteer", "content": "That's the answer", "session_id": 13233, "sequence_id": 200, "annotations": []}
{"role": "student", "content": "yeah I forgot how we got 2.074", "session_id": 13233, "sequence_id": 201, "annotations": []}
{"role": "student", "content": "t=-b/2a", "session_id": 13233, "sequence_id": 202, "annotations": []}
{"role": "student", "content": "using that", "session_id": 13233, "sequence_id": 203, "annotations": []}
{"role": "volunteer", "content": "If you scroll up and read the chat you will find the answer", "session_id": 13233, "sequence_id": 204, "annotations": []}
{"role": "student", "content": "what is -b", "session_id": 13233, "sequence_id": 205, "annotations": []}
{"role": "student", "content": "I just need the -b and a", "session_id": 13233, "sequence_id": 206, "annotations": []}
{"role": "volunteer", "content": "2.074 = (-b-sqrt(b^2-4ac))/2a", "session_id": 13233, "sequence_id": 207, "annotations": []}
{"role": "student", "content": "121", "session_id": 13233, "sequence_id": 208, "annotations": []}
{"role": "student", "content": "that does work", "session_id": 13233, "sequence_id": 209, "annotations": []}
{"role": "student", "content": "square root 193 is 13.89", "session_id": 13233, "sequence_id": 210, "annotations": []}
{"role": "volunteer", "content": "-0.24083 = (-b+sqrt(b^2-4ac))/2a", "session_id": 13233, "sequence_id": 211, "annotations": []}
{"role": "student", "content": "that doesn't work for -b value", "session_id": 13233, "sequence_id": 212, "annotations": []}
{"role": "volunteer", "content": "That's how you get the two values of t", "session_id": 13233, "sequence_id": 213, "annotations": []}
{"role": "volunteer", "content": "It will once you figure out what you are plugging in wrong", "session_id": 13233, "sequence_id": 214, "annotations": []}
{"role": "student", "content": "the bottom u divide by -12", "session_id": 13233, "sequence_id": 215, "annotations": []}
{"role": "volunteer", "content": "Correct", "session_id": 13233, "sequence_id": 216, "annotations": []}
{"role": "student", "content": "I don't know -b value", "session_id": 13233, "sequence_id": 217, "annotations": []}
{"role": "volunteer", "content": "Look at the equation on the problem sheet", "session_id": 13233, "sequence_id": 218, "annotations": []}
{"role": "student", "content": "yeah a did", "session_id": 13233, "sequence_id": 219, "annotations": []}
{"role": "volunteer", "content": "So whats b", "session_id": 13233, "sequence_id": 220, "annotations": []}
{"role": "student", "content": "11", "session_id": 13233, "sequence_id": 221, "annotations": []}
{"role": "volunteer", "content": "So whats -b", "session_id": 13233, "sequence_id": 222, "annotations": []}
{"role": "student", "content": "-11", "session_id": 13233, "sequence_id": 223, "annotations": []}
{"role": "volunteer", "content": "OK then", "session_id": 13233, "sequence_id": 224, "annotations": []}
{"role": "student", "content": "0.916 does not get 2.074", "session_id": 13233, "sequence_id": 225, "annotations": []}
{"role": "volunteer", "content": "You have to practice using a calculator", "session_id": 13233, "sequence_id": 226, "annotations": []}
{"role": "student", "content": "ok", "session_id": 13233, "sequence_id": 227, "annotations": []}
{"role": "volunteer", "content": "Sqrt (193) = 13.89", "session_id": 13233, "sequence_id": 228, "annotations": []}
{"role": "volunteer", "content": "-b = -11", "session_id": 13233, "sequence_id": 229, "annotations": []}
{"role": "volunteer", "content": "So whats (-11 - 13.89)/2a", "session_id": 13233, "sequence_id": 230, "annotations": []}
{"role": "volunteer", "content": "-24.89/-12", "session_id": 13233, "sequence_id": 231, "annotations": []}
{"role": "student", "content": "can u help with 4. b.", "session_id": 13233, "sequence_id": 232, "annotations": []}
{"role": "volunteer", "content": "Well did you get this one?", "session_id": 13233, "sequence_id": 233, "annotations": []}
{"role": "student", "content": "yes", "session_id": 13233, "sequence_id": 234, "annotations": []}
{"role": "student", "content": "thank u", "session_id": 13233, "sequence_id": 235, "annotations": []}
{"role": "volunteer", "content": "So whats the final answer?", "session_id": 13233, "sequence_id": 236, "annotations": []}
{"role": "volunteer", "content": "For 1c?", "session_id": 13233, "sequence_id": 237, "annotations": []}
{"role": "student", "content": "2.074", "session_id": 13233, "sequence_id": 238, "annotations": []}
{"role": "volunteer", "content": "No it is not", "session_id": 13233, "sequence_id": 239, "annotations": []}
{"role": "student", "content": "seconds", "session_id": 13233, "sequence_id": 240, "annotations": []}
{"role": "student", "content": "and -0.24083 seconds", "session_id": 13233, "sequence_id": 241, "annotations": []}
{"role": "volunteer", "content": "It is 2", "session_id": 13233, "sequence_id": 242, "annotations": []}
{"role": "student", "content": "how is it two", "session_id": 13233, "sequence_id": 243, "annotations": []}
{"role": "volunteer", "content": "It is 2.074 - (-.0.24083)", "session_id": 13233, "sequence_id": 244, "annotations": []}
{"role": "volunteer", "content": "What does that come out to be?", "session_id": 13233, "sequence_id": 245, "annotations": []}
{"role": "student", "content": "2.31483", "session_id": 13233, "sequence_id": 246, "annotations": []}
{"role": "volunteer", "content": "So approximately 2.32 seconds", "session_id": 13233, "sequence_id": 247, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 13233, "sequence_id": 248, "annotations": []}
{"role": "volunteer", "content": "That's the answer", "session_id": 13233, "sequence_id": 249, "annotations": []}
{"role": "student", "content": "so got this can we move on to question 4.b", "session_id": 13233, "sequence_id": 250, "annotations": []}
{"role": "volunteer", "content": "Can you post it on the whiteboard again?", "session_id": 13233, "sequence_id": 251, "annotations": []}
{"role": "volunteer", "content": "My whiteboard is wiped clean", "session_id": 13233, "sequence_id": 252, "annotations": []}
{"role": "volunteer", "content": "hello", "session_id": 13356, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "how are you", "session_id": 13356, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "I\u2019m good how about you?", "session_id": 13356, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "good thank you for asking", "session_id": 13356, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "ok give me one moment please", "session_id": 13356, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "If it\u2019s okay could you check my answer?", "session_id": 13356, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "Of course!", "session_id": 13356, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "yeah sure", "session_id": 13356, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "OK, so we can see the, uh, now is 6 less than", "session_id": 13356, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "4C + 10", "session_id": 13356, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "and uh less 14.", "session_id": 13356, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "So first of all, we minus 6", "session_id": 13356, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "no minus 10, both sides, right?", "session_id": 13356, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "So we get", "session_id": 13356, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "so now you can see we get 4C in the middle.", "session_id": 13356, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "So", "session_id": 13356, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "um get the single C, we can divide 4, so it's -1", "session_id": 13356, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "1. So that's the answer.", "session_id": 13356, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "Make sense", "session_id": 13356, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "Ohhh okay yes!", "session_id": 13356, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "any other question?", "session_id": 13356, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "How would I graph this?", "session_id": 13356, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "So it's -1 less than C, so we cannot get negative 1, right? So for -1, we get", "session_id": 13356, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "So, yeah, and for one is greater than C. So we cannot get one year. So it's, it's, yeah.", "session_id": 13356, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "that line", "session_id": 13356, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "Ohh alright thank you!", "session_id": 13356, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "No problem. Have a good day", "session_id": 13356, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "I need help on proofs", "session_id": 13426, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "Alright, lets see", "session_id": 13426, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "ok", "session_id": 13426, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "ok, I got it", "session_id": 13426, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "so I understand the reasons part, I just don't understand how to get the statements written out in the correct order.", "session_id": 13426, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "ok", "session_id": 13426, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "I just dont understand how this site of your work", "session_id": 13426, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "wdym?", "session_id": 13426, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "do you know how to solve it?", "session_id": 13426, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "no, that's why I need help", "session_id": 13426, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 13426, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "lets try opening up the angles", "session_id": 13426, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "say, the angle <DHF is the sum of each smaller angles?", "session_id": 13426, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "so <DHF=m<1+m<2?", "session_id": 13426, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "exactly", "session_id": 13426, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "and if you do the same for the other angle", "session_id": 13426, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "and <EHG=m<2+m<3?", "session_id": 13426, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "yeap", "session_id": 13426, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "oh, then", "session_id": 13426, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "m<1+m<2=m<2+m<3", "session_id": 13426, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "exactly", "session_id": 13426, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "can you finish it?", "session_id": 13426, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "then we remove the <2 from both sides", "session_id": 13426, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "yes, thank you", "session_id": 13426, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "yeap", "session_id": 13426, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "you are welcome", "session_id": 13426, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "anything else you might need help with?", "session_id": 13426, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "no, thank you", "session_id": 13426, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "ok, take care", "session_id": 13426, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "bye", "session_id": 13426, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "bye", "session_id": 13426, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "Hello, Oakville", "session_id": 13480, "sequence_id": 0, "annotations": [{"pii_type": "LOCATION", "surrogate": "Oakville", "start": 7, "end": 15}]}
{"role": "volunteer", "content": "afternoon", "session_id": 13480, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "Do I have to put the values in a decimal, or in another format/", "session_id": 13480, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "?", "session_id": 13480, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "what oes the red text say", "session_id": 13480, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "(unmatched paren), syntax incomplete, (unmatched parens), syntax incomplete", "session_id": 13480, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "this is tricky, your answers are right...\n\nmaybe write n*pi/2 (where n is an odd integer). try it", "session_id": 13480, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "Okay, I will try it out", "session_id": 13480, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "I mean, your answers are right, I don't know how else to write it", "session_id": 13480, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "Like this?", "session_id": 13480, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "What does that say?", "session_id": 13480, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "n pi over 2", "session_id": 13480, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "Oh, I see", "session_id": 13480, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "It says syntax incomplete", "session_id": 13480, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "oh", "session_id": 13480, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "specify tant n is an odd integer", "session_id": 13480, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 13480, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "No worries, thank you for the help though!", "session_id": 13480, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "Have a good rest of your day and week!", "session_id": 13480, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "hi", "session_id": 13540, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "hi!", "session_id": 13540, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "I don't understand this question", "session_id": 13540, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "okay sure, happy to help", "session_id": 13540, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "do you know how to solve this question?", "session_id": 13540, "sequence_id": 4, "annotations": []}
{"role": "student", "content": ":)", "session_id": 13540, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "i could definetely try :)", "session_id": 13540, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "so do you know which angles they are talking about?", "session_id": 13540, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "when they say ADB and CDB?", "session_id": 13540, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "I think", "session_id": 13540, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "Yeah, I think", "session_id": 13540, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "so, do you know anything about the sum of those angles?", "session_id": 13540, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "something about 180", "session_id": 13540, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "I forget", "session_id": 13540, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "yes!", "session_id": 13540, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "the sum of angles ADB and CDB is always 180", "session_id": 13540, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "why?", "session_id": 13540, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "because the straight line which the points A, D, and C lie on always has an angle 180 degrees", "session_id": 13540, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "ohh", "session_id": 13540, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "whats up with point b then", "session_id": 13540, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "in this case, point B doesn't really play any role in the problem", "session_id": 13540, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "okay", "session_id": 13540, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "So, to solve the problem, you would find 2 angle measures that sum 180 degrees", "session_id": 13540, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "any two numbers that add up 180 degrees?", "session_id": 13540, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "but, you do have to be careful because if you notice, angle ADB is larger than angle CDB", "session_id": 13540, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "so angle ADB does have to be larger in measure", "session_id": 13540, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "okay", "session_id": 13540, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "so any two numbers but adb has to be a larger number?", "session_id": 13540, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 13540, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "but they have to add up 180 degrees", "session_id": 13540, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "so an example would be 150 and 30, or  160 and 20", "session_id": 13540, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "ohh okay", "session_id": 13540, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "yeah that makes sense", "session_id": 13540, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "happy to help!", "session_id": 13540, "sequence_id": 33, "annotations": []}
{"role": "student", "content": ":) thanks for ur time", "session_id": 13540, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": ":)", "session_id": 13540, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "no problemo!", "session_id": 13540, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "have a great day!", "session_id": 13540, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "Hello, how are you?", "session_id": 13686, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "hi", "session_id": 13686, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "I am well.  thank you for asking.", "session_id": 13686, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "how can I help?", "session_id": 13686, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "Can you see this?", "session_id": 13686, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 13686, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "oh the starting", "session_id": 13686, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "can we start here", "session_id": 13686, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "where?", "session_id": 13686, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "so I have to right", "session_id": 13686, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "constant function", "session_id": 13686, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "linear", "session_id": 13686, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "like the parent functions", "session_id": 13686, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "should i do", "session_id": 13686, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "f(x)", "session_id": 13686, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "or y", "session_id": 13686, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "it's the same right?", "session_id": 13686, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "f(x) is probably preferred.", "session_id": 13686, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 13686, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "So is this right?", "session_id": 13686, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 13686, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "wait how do u find the leading coefficient", "session_id": 13686, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "for C", "session_id": 13686, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "nice", "session_id": 13686, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "i was wondering if i was doing it wrong", "session_id": 13686, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "but nah", "session_id": 13686, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "no", "session_id": 13686, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "you got this", "session_id": 13686, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "Oh also I'm just reviewing for my quiz", "session_id": 13686, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "I'm ngl I haven't been listening to my teacher at all", "session_id": 13686, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "kk", "session_id": 13686, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "so im just going thru my notes", "session_id": 13686, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "so there's def a lot i dont know", "session_id": 13686, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "but the beginning i do", "session_id": 13686, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "as the value of x gets smaller, the value of y increases.", "session_id": 13686, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "all good", "session_id": 13686, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "but odd degree and positive leading coefficient", "session_id": 13686, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "mhm", "session_id": 13686, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "sorry, you are correct", "session_id": 13686, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "isn't it downward?", "session_id": 13686, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "ye", "session_id": 13686, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 13686, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "I was tricked by the first term.", "session_id": 13686, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "great work", "session_id": 13686, "sequence_id": 43, "annotations": []}
{"role": "student", "content": "wait", "session_id": 13686, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "no work here", "session_id": 13686, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "y", "session_id": 13686, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "=0", "session_id": 13686, "sequence_id": 47, "annotations": []}
{"role": "student", "content": "did i do it wrong?", "session_id": 13686, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 13686, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "sorry", "session_id": 13686, "sequence_id": 50, "annotations": []}
{"role": "student", "content": "wait a minute", "session_id": 13686, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "to find the x intercept", "session_id": 13686, "sequence_id": 52, "annotations": []}
{"role": "student", "content": "you set y = 0", "session_id": 13686, "sequence_id": 53, "annotations": []}
{"role": "student", "content": "0 = x + 5", "session_id": 13686, "sequence_id": 54, "annotations": []}
{"role": "student", "content": "x = -5", "session_id": 13686, "sequence_id": 55, "annotations": []}
{"role": "student", "content": "0 = x + 2", "session_id": 13686, "sequence_id": 56, "annotations": []}
{"role": "student", "content": "x = -2", "session_id": 13686, "sequence_id": 57, "annotations": []}
{"role": "student", "content": "0 = x - 1", "session_id": 13686, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "the y intercept is incorrect.", "session_id": 13686, "sequence_id": 59, "annotations": []}
{"role": "student", "content": "x = 1", "session_id": 13686, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "x intercept is correct.", "session_id": 13686, "sequence_id": 61, "annotations": []}
{"role": "student", "content": "for y intercept u set x = 0", "session_id": 13686, "sequence_id": 62, "annotations": []}
{"role": "student", "content": "y = (5)(2^2)(-1)", "session_id": 13686, "sequence_id": 63, "annotations": []}
{"role": "student", "content": "-20", "session_id": 13686, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 13686, "sequence_id": 65, "annotations": []}
{"role": "student", "content": "wait", "session_id": 13686, "sequence_id": 66, "annotations": []}
{"role": "student", "content": "when it has a multiplicity of 2", "session_id": 13686, "sequence_id": 67, "annotations": []}
{"role": "student", "content": "that means that it turns right", "session_id": 13686, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 13686, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "let's mark the zeros.", "session_id": 13686, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "you did.", "session_id": 13686, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "good", "session_id": 13686, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "where is the y intercept?", "session_id": 13686, "sequence_id": 73, "annotations": []}
{"role": "student", "content": "looks kinda wonky", "session_id": 13686, "sequence_id": 74, "annotations": []}
{"role": "student", "content": "would i Algebra 201 on quiz for doing somethin like dat", "session_id": 13686, "sequence_id": 75, "annotations": [{"pii_type": "COURSE", "surrogate": "Algebra 201", "start": 8, "end": 19}]}
{"role": "volunteer", "content": "yeah", "session_id": 13686, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "sure", "session_id": 13686, "sequence_id": 77, "annotations": []}
{"role": "student", "content": "dam", "session_id": 13686, "sequence_id": 78, "annotations": []}
{"role": "student", "content": "this graph looks beteer", "session_id": 13686, "sequence_id": 79, "annotations": []}
{"role": "student", "content": "compared to desmos at least", "session_id": 13686, "sequence_id": 80, "annotations": []}
{"role": "volunteer", "content": "smooth it out", "session_id": 13686, "sequence_id": 81, "annotations": []}
{"role": "volunteer", "content": "like a U or upside down U.", "session_id": 13686, "sequence_id": 82, "annotations": []}
{"role": "volunteer", "content": "getting smoother.   good job", "session_id": 13686, "sequence_id": 83, "annotations": []}
{"role": "student", "content": "thx", "session_id": 13686, "sequence_id": 84, "annotations": []}
{"role": "volunteer", "content": "x to the fourth makes a W.", "session_id": 13686, "sequence_id": 85, "annotations": []}
{"role": "volunteer", "content": "cursive W", "session_id": 13686, "sequence_id": 86, "annotations": []}
{"role": "student", "content": "huh?", "session_id": 13686, "sequence_id": 87, "annotations": []}
{"role": "student", "content": "its wrong?", "session_id": 13686, "sequence_id": 88, "annotations": []}
{"role": "volunteer", "content": "no", "session_id": 13686, "sequence_id": 89, "annotations": []}
{"role": "volunteer", "content": "it's good.", "session_id": 13686, "sequence_id": 90, "annotations": []}
{"role": "volunteer", "content": "I'm saying x to the fourth power makes a W.", "session_id": 13686, "sequence_id": 91, "annotations": []}
{"role": "volunteer", "content": "right?", "session_id": 13686, "sequence_id": 92, "annotations": []}
{"role": "student", "content": "um", "session_id": 13686, "sequence_id": 93, "annotations": []}
{"role": "student", "content": "i mean it looks like a W", "session_id": 13686, "sequence_id": 94, "annotations": []}
{"role": "student", "content": "kinda right?", "session_id": 13686, "sequence_id": 95, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 13686, "sequence_id": 96, "annotations": []}
{"role": "student", "content": "wait can u look it up on demos", "session_id": 13686, "sequence_id": 97, "annotations": []}
{"role": "student", "content": "it looks a lil different", "session_id": 13686, "sequence_id": 98, "annotations": []}
{"role": "volunteer", "content": "I got the same thing.", "session_id": 13686, "sequence_id": 99, "annotations": []}
{"role": "volunteer", "content": "all good", "session_id": 13686, "sequence_id": 100, "annotations": []}
{"role": "student", "content": "Now you try", "session_id": 13686, "sequence_id": 101, "annotations": []}
{"role": "student", "content": "what does that even mean", "session_id": 13686, "sequence_id": 102, "annotations": []}
{"role": "student", "content": "what was i doing before?", "session_id": 13686, "sequence_id": 103, "annotations": []}
{"role": "volunteer", "content": "that means it is the student's turn to work on the questions.", "session_id": 13686, "sequence_id": 104, "annotations": []}
{"role": "student", "content": "lol", "session_id": 13686, "sequence_id": 105, "annotations": []}
{"role": "volunteer", "content": "these are a little tricky.", "session_id": 13686, "sequence_id": 106, "annotations": []}
{"role": "volunteer", "content": "term at the end", "session_id": 13686, "sequence_id": 107, "annotations": []}
{"role": "student", "content": "huh", "session_id": 13686, "sequence_id": 108, "annotations": []}
{"role": "student", "content": "wait sorry i was looking at something else", "session_id": 13686, "sequence_id": 109, "annotations": []}
{"role": "student", "content": "no answerrr", "session_id": 13686, "sequence_id": 110, "annotations": []}
{"role": "student", "content": "iss dat hright?", "session_id": 13686, "sequence_id": 111, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 13686, "sequence_id": 112, "annotations": []}
{"role": "volunteer", "content": "wait", "session_id": 13686, "sequence_id": 113, "annotations": []}
{"role": "volunteer", "content": "6 or -6", "session_id": 13686, "sequence_id": 114, "annotations": []}
{"role": "student", "content": "0 = -(x+6)", "session_id": 13686, "sequence_id": 115, "annotations": []}
{"role": "student", "content": "0 = -x-6", "session_id": 13686, "sequence_id": 116, "annotations": []}
{"role": "student", "content": "x = -6", "session_id": 13686, "sequence_id": 117, "annotations": []}
{"role": "student", "content": "is that how u do it?", "session_id": 13686, "sequence_id": 118, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 13686, "sequence_id": 119, "annotations": []}
{"role": "volunteer", "content": "don't put the -1 with the x + 6", "session_id": 13686, "sequence_id": 120, "annotations": []}
{"role": "student", "content": "qdym", "session_id": 13686, "sequence_id": 121, "annotations": []}
{"role": "volunteer", "content": "-1(x+6).", "session_id": 13686, "sequence_id": 122, "annotations": []}
{"role": "student", "content": "distrupte right?", "session_id": 13686, "sequence_id": 123, "annotations": []}
{"role": "volunteer", "content": "keep the x + 6 separate from the outside negative one.", "session_id": 13686, "sequence_id": 124, "annotations": []}
{"role": "student", "content": "distribute", "session_id": 13686, "sequence_id": 125, "annotations": []}
{"role": "volunteer", "content": "no to distribute", "session_id": 13686, "sequence_id": 126, "annotations": []}
{"role": "student", "content": "so how is it done", "session_id": 13686, "sequence_id": 127, "annotations": []}
{"role": "volunteer", "content": "ot msynr", "session_id": 13686, "sequence_id": 128, "annotations": []}
{"role": "volunteer", "content": "maybe we do distribute....", "session_id": 13686, "sequence_id": 129, "annotations": []}
{"role": "student", "content": "well i got it right somehow", "session_id": 13686, "sequence_id": 130, "annotations": []}
{"role": "student", "content": "so", "session_id": 13686, "sequence_id": 131, "annotations": []}
{"role": "volunteer", "content": "the negative one has to go with one of the terms.", "session_id": 13686, "sequence_id": 132, "annotations": []}
{"role": "volunteer", "content": "but -1(x+6) = 0", "session_id": 13686, "sequence_id": 133, "annotations": []}
{"role": "volunteer", "content": "then -x -6 = 0.", "session_id": 13686, "sequence_id": 134, "annotations": []}
{"role": "volunteer", "content": "then x = -6.", "session_id": 13686, "sequence_id": 135, "annotations": []}
{"role": "student", "content": "well either way", "session_id": 13686, "sequence_id": 136, "annotations": []}
{"role": "student", "content": "that's the same as Ms. Davis", "session_id": 13686, "sequence_id": 137, "annotations": [{"pii_type": "PERSON", "surrogate": "Ms. Davis", "start": 19, "end": 28}]}
{"role": "student", "content": "kinda weird right?", "session_id": 13686, "sequence_id": 138, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 13686, "sequence_id": 139, "annotations": []}
{"role": "volunteer", "content": "indeed", "session_id": 13686, "sequence_id": 140, "annotations": []}
{"role": "student", "content": "new sectionn", "session_id": 13686, "sequence_id": 141, "annotations": []}
{"role": "student", "content": "is this all right?", "session_id": 13686, "sequence_id": 142, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 13686, "sequence_id": 143, "annotations": []}
{"role": "volunteer", "content": "do you need help with Example 2?", "session_id": 13686, "sequence_id": 144, "annotations": []}
{"role": "student", "content": "sorry i was looking at something", "session_id": 13686, "sequence_id": 145, "annotations": []}
{"role": "volunteer", "content": "can I make a suggestion?", "session_id": 13686, "sequence_id": 146, "annotations": []}
{"role": "student", "content": "is that wrong?", "session_id": 13686, "sequence_id": 147, "annotations": []}
{"role": "volunteer", "content": "just a different way", "session_id": 13686, "sequence_id": 148, "annotations": []}
{"role": "student", "content": "wats the difference", "session_id": 13686, "sequence_id": 149, "annotations": []}
{"role": "student", "content": "not my bes", "session_id": 13686, "sequence_id": 150, "annotations": []}
{"role": "student", "content": "best", "session_id": 13686, "sequence_id": 151, "annotations": []}
{"role": "student", "content": "Michael i gotta take a math break", "session_id": 13686, "sequence_id": 152, "annotations": [{"pii_type": "PERSON", "surrogate": "Michael", "start": 0, "end": 7}]}
{"role": "volunteer", "content": "you are doing super work.", "session_id": 13686, "sequence_id": 153, "annotations": []}
{"role": "volunteer", "content": "nothing to stop you from making 100!", "session_id": 13686, "sequence_id": 154, "annotations": []}
{"role": "student", "content": "lol i didnt get one wrong", "session_id": 13686, "sequence_id": 155, "annotations": []}
{"role": "student", "content": "but for my notes", "session_id": 13686, "sequence_id": 156, "annotations": []}
{"role": "student", "content": "i only did pages 0-12", "session_id": 13686, "sequence_id": 157, "annotations": []}
{"role": "student", "content": "and there's 35....", "session_id": 13686, "sequence_id": 158, "annotations": []}
{"role": "student", "content": "but ima take a lil nap", "session_id": 13686, "sequence_id": 159, "annotations": []}
{"role": "volunteer", "content": "I apolgoize.", "session_id": 13686, "sequence_id": 160, "annotations": []}
{"role": "student", "content": "and do more", "session_id": 13686, "sequence_id": 161, "annotations": []}
{"role": "volunteer", "content": "i need to go to bed.", "session_id": 13686, "sequence_id": 162, "annotations": []}
{"role": "volunteer", "content": "please sign on again.", "session_id": 13686, "sequence_id": 163, "annotations": []}
{"role": "student", "content": "Brooklyn", "session_id": 13686, "sequence_id": 164, "annotations": [{"pii_type": "LOCATION", "surrogate": "Brooklyn", "start": 0, "end": 8}]}
{"role": "student", "content": "thank you for helping!", "session_id": 13686, "sequence_id": 165, "annotations": []}
{"role": "volunteer", "content": "great work!", "session_id": 13686, "sequence_id": 166, "annotations": []}
{"role": "volunteer", "content": "you're welcome.", "session_id": 13686, "sequence_id": 167, "annotations": []}
{"role": "student", "content": "yeah i actually didnt do bad", "session_id": 13686, "sequence_id": 168, "annotations": []}
{"role": "student", "content": "i knew most of it", "session_id": 13686, "sequence_id": 169, "annotations": []}
{"role": "volunteer", "content": "not at all!", "session_id": 13686, "sequence_id": 170, "annotations": []}
{"role": "student", "content": "i was on a streak", "session_id": 13686, "sequence_id": 171, "annotations": []}
{"role": "volunteer", "content": "bye", "session_id": 13686, "sequence_id": 172, "annotations": []}
{"role": "student", "content": "bye", "session_id": 13686, "sequence_id": 173, "annotations": []}
{"role": "student", "content": "have a good night", "session_id": 13686, "sequence_id": 174, "annotations": []}
{"role": "volunteer", "content": "Hello!", "session_id": 14870, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "Hi!", "session_id": 14870, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "Are you able to look over my answers?", "session_id": 14870, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "Yeah of course", "session_id": 14870, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "lets see", "session_id": 14870, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "I think it is correct", "session_id": 14870, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "both of them are", "session_id": 14870, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "Okay, thank you.", "session_id": 14870, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "no problem", "session_id": 14870, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "do you have any other questions", "session_id": 14870, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "Not yet, that was it for now.", "session_id": 14870, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "okay then", "session_id": 14870, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "bye", "session_id": 14870, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "Bye!", "session_id": 14870, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "Can you turn your microphone on please", "session_id": 14913, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "Marcus", "session_id": 14913, "sequence_id": 1, "annotations": [{"pii_type": "PERSON", "surrogate": "Marcus", "start": 0, "end": 6}]}
{"role": "volunteer", "content": "what for", "session_id": 14913, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "It's easier for me", "session_id": 14913, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "To just listen to what your saying", "session_id": 14913, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "mm okay well if you have a question then am fine with explaining with my mic", "session_id": 14913, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "Okay well what is 34x+78=3090", "session_id": 14913, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "Hi.", "session_id": 14913, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "Hi", "session_id": 14913, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "wait but its technically the same thing lol", "session_id": 14913, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "its just typing out what i say", "session_id": 14913, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "Yes but I like being able to hear someone because I don't really look at the chat", "session_id": 14913, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "well thats fine then. do you really need help with that question tho", "session_id": 14913, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 14913, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "Mm, OK, so.", "session_id": 14913, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "for this question, you have to", "session_id": 14913, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "we are finding eggs, so we have to um", "session_id": 14913, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "send the 78 to the other side.", "session_id": 14913, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "And then divide you by 34.", "session_id": 14913, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "OK, wait, let me phrase this with that. So you have to", "session_id": 14913, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "subtract 78 from both sides, and then divide both sides by 30 folding pink eggs.", "session_id": 14913, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "lol", "session_id": 14913, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "i hope you got that tho", "session_id": 14913, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "That's funny it thought you said eggs and yes I understand that now", "session_id": 14913, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "lol ok", "session_id": 14913, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "at least you get it", "session_id": 14913, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "mhmm thats how you do it", "session_id": 14913, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 14913, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "would that be all", "session_id": 14913, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "I have one more question", "session_id": 14913, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "okayy", "session_id": 14913, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "What is 79x+45=300", "session_id": 14913, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "OK, so I think you'll be able to attempt this question because of", "session_id": 14913, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "um", "session_id": 14913, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "it's basically the same thing.", "session_id": 14913, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "as the first one. So, yeah.", "session_id": 14913, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "Is this right?", "session_id": 14913, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "yup", "session_id": 14913, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "Thank you so much for helping me with those questions I really appreciate your help and time have a great rest of your day", "session_id": 14913, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "okay byee. welcome btw", "session_id": 14913, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "Hi David, what seems to be the problem?", "session_id": 14978, "sequence_id": 0, "annotations": [{"pii_type": "PERSON", "surrogate": "David", "start": 3, "end": 8}]}
{"role": "student", "content": "I am struggling to solve this problem on the white board. it is polynomial equation", "session_id": 14978, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "sorry if I'm reading this wrong, does that say 1.3x^3?", "session_id": 14978, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "No, that is a #1, not a point, sorry for the confusion", "session_id": 14978, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "ahh I see", "session_id": 14978, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "Alright, so how have you been trying to solve this so far?", "session_id": 14978, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "Well I'm struggling trying to decide which method of factoring to use", "session_id": 14978, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "i see, well do you know how to solve a quadratic equation?", "session_id": 14978, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "A ns M method?", "session_id": 14978, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "and*", "session_id": 14978, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "Thats one way you could solve this equation", "session_id": 14978, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "But wouldn't you use GCF first?", "session_id": 14978, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "If your teacher wants you to do it that way we can do that", "session_id": 14978, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "But theres easier ways to factor this", "session_id": 14978, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "not exactly", "session_id": 14978, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "I want the easier way", "session_id": 14978, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "Alright", "session_id": 14978, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "so if we were able to turn this trinomial into a quadratic, that would make it much easier right?", "session_id": 14978, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "yes", "session_id": 14978, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "Then we could just use the quadratic equation", "session_id": 14978, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "so AC method?", "session_id": 14978, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "so how could we take out one of the x factors?", "session_id": 14978, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "I don't know", "session_id": 14978, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "Well, we could factor our x from all of the terms here", "session_id": 14978, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "We could take out a x^2 or just an x.", "session_id": 14978, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "just an x, since we cant take out x^2 from 48x", "session_id": 14978, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "ok", "session_id": 14978, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "we coudl also technically take out 3x, since all terms are divisible by 3x", "session_id": 14978, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "which would be what?", "session_id": 14978, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "great!", "session_id": 14978, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "48x/3x is 16, by the way", "session_id": 14978, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "also, make sure to keep the negative signs", "session_id": 14978, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "i was doing 24/3", "session_id": 14978, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "which is 8", "session_id": 14978, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 14978, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "sorry about that, might have been confusing", "session_id": 14978, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "is that right?", "session_id": 14978, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "Almost, the negative sign was on the 8x term, not the 16", "session_id": 14978, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "Great!", "session_id": 14978, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "this is perfect", "session_id": 14978, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "now what?", "session_id": 14978, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "now we know one of the solutions is 0", "session_id": 14978, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "so we need to now factor the inside quadratic", "session_id": 14978, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "so how would you factor x^2 -8x + 16?", "session_id": 14978, "sequence_id": 43, "annotations": []}
{"role": "student", "content": "A and M", "session_id": 14978, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "so what would it factor to?", "session_id": 14978, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "is that correct?", "session_id": 14978, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "Almost", "session_id": 14978, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "This multiplies to x^2 - 16", "session_id": 14978, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "8?", "session_id": 14978, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "try switching the positive to negative", "session_id": 14978, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "there we go, now this multiplies to the correct quadratic", "session_id": 14978, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "now what would be the full factored form?", "session_id": 14978, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "great!", "session_id": 14978, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "thats the answer", "session_id": 14978, "sequence_id": 54, "annotations": []}
{"role": "student", "content": "ok", "session_id": 14978, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "does it make a little more sense now?", "session_id": 14978, "sequence_id": 56, "annotations": []}
{"role": "student", "content": "yes", "session_id": 14978, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "sounds good, any other questions?", "session_id": 14978, "sequence_id": 58, "annotations": []}
{"role": "student", "content": "no", "session_id": 14978, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "nice, have a good day!", "session_id": 14978, "sequence_id": 60, "annotations": []}
{"role": "student", "content": "you too!", "session_id": 14978, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "hello", "session_id": 15745, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "hello", "session_id": 15745, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "so what is your idea? How would you solve that?", "session_id": 15745, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "i dont know how can u solve it", "session_id": 15745, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "please", "session_id": 15745, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "what is the goal of that problem?", "session_id": 15745, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "we want to write something like:", "session_id": 15745, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "the a, b, c, d and e are the coffeccients", "session_id": 15745, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "how did I know that th4 is the higest power in that equation?", "session_id": 15745, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "I tihnk you are away. Some tips how to solve this:\n- a will be 1 (note the red arrow on the board)\n- finding b, c, d and e by hand will be hard, so we can use a trick\n- can you think about a polynomial which has roots -2, -1, 3 and 4?\n- can you think about a polynomial which has -2 as a root? what about a polynomial having -1 as a root etc?\n- if f is a polynomial having -2 as a root and g is polynomial having -1 as a root, what can you say about the polynomial f*g?", "session_id": 15745, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "Hi Marcus", "session_id": 15962, "sequence_id": 0, "annotations": [{"pii_type": "PERSON", "surrogate": "Marcus", "start": 3, "end": 9}]}
{"role": "student", "content": "Hello", "session_id": 15962, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "If this is your first session, welcome to Brilliant Minds! How may I help you?", "session_id": 15962, "sequence_id": 2, "annotations": [{"pii_type": "PERSON", "surrogate": "Brilliant Minds", "start": 42, "end": 57}]}
{"role": "student", "content": "I was hoping I could receive some help in completing a homework assignment.", "session_id": 15962, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "OK. I see problem (5) on the board.", "session_id": 15962, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "Is that the problem you wanted to work on?", "session_id": 15962, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "That\u2019s the first one.", "session_id": 15962, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "Should I send the rest right now?", "session_id": 15962, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "No. Just keep problem 5 for now.", "session_id": 15962, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "What limit did you find for problem 5 ?", "session_id": 15962, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "I was having trouble completing the problem.", "session_id": 15962, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "OK. First off, if you plugged in x=-2 into the expression, you'd be dividing by zero, correct?", "session_id": 15962, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 15962, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "So the limit could be +\u221e or -\u221e.", "session_id": 15962, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "Did you learn about \"limit from the left\" and \"limit from the right\" ?", "session_id": 15962, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "I learned about it but I\u2019m confused on when I should use the rule?", "session_id": 15962, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "I'll explain. We'll start with \"limit from the left\".", "session_id": 15962, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "Let's look at the value of the expression for a value of x that is just a little to the left of -2. Can you try x = -2.001 ?", "session_id": 15962, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "I got 0.001", "session_id": 15962, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "Can you try again? I'll write on the board, below your uploaded page.", "session_id": 15962, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "Don't forget the negative sign in the denominator.", "session_id": 15962, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "0.999/(-0.001) = ?", "session_id": 15962, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "Did you find the value?", "session_id": 15962, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "Good. -999 is correct.", "session_id": 15962, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "So the answer is negative infinity?", "session_id": 15962, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "Yes. The limit \"from the left\" is -\u221e. Now we look at the limit from the right.", "session_id": 15962, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "Do you see the graph I uploaded?", "session_id": 15962, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 15962, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "As we move toward x=-2 from the left, we follow the purple arrow.", "session_id": 15962, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "As you can see, to the left of x=-2, the function goes to -\u221e.", "session_id": 15962, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "Can I do this without a graphing calculator? We aren\u2019t allowed to use them for these problems.", "session_id": 15962, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "Yes. We're also doing it without a graphing calculator. I'm just showing you the graph so you know what the function is doing.", "session_id": 15962, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "Now try a value just a little to the right of -2. Can you try x = -1.999 ?", "session_id": 15962, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "Okay.", "session_id": 15962, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "1.001/0.001", "session_id": 15962, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "Yes. And 1.001/0.001 = 1001, correct?", "session_id": 15962, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "Yes.", "session_id": 15962, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "So this tells us that the limit from the right is +\u221e.", "session_id": 15962, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "And because the limit from the left (-999) is different from the limit from the right (1001), we say the limit \"does not exist\" (DNE).", "session_id": 15962, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "Because -\u221e is different from +\u221e, the limit DNE.", "session_id": 15962, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "That makes a lot of sense, thank you!", "session_id": 15962, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "You're welcome.", "session_id": 15962, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "Can you help me with more problems?", "session_id": 15962, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "Yes. We can do a couple more if you like.", "session_id": 15962, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "I see problems 8, 11 and 14.", "session_id": 15962, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "Can we do those?", "session_id": 15962, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "Sure. What's your guess for problem 8?", "session_id": 15962, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "infinity?", "session_id": 15962, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "Yes. +\u221e or -\u221e ?", "session_id": 15962, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "+", "session_id": 15962, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "Correct. For this problem, we're only interested in the limit \"from the left\". So the limit is +\u221e.", "session_id": 15962, "sequence_id": 50, "annotations": []}
{"role": "student", "content": "Okay.", "session_id": 15962, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "What would you guess for problem 11?", "session_id": 15962, "sequence_id": 52, "annotations": []}
{"role": "student", "content": "For the limits approaching infinity I\u2019m not sure what rule to use?", "session_id": 15962, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "The function is a fraction, with a polynomial on top (numerator) and another polynomial at the bottom (denominator).", "session_id": 15962, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "Can you tell what is the \"order\" of the polynomial in the numerator (top) ?", "session_id": 15962, "sequence_id": 55, "annotations": []}
{"role": "student", "content": "Smaller to larger powers?", "session_id": 15962, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "Look for the highest power of \"x\".", "session_id": 15962, "sequence_id": 57, "annotations": []}
{"role": "student", "content": "20", "session_id": 15962, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "Correct. And what's the order of the polynomial in the denominator (bottom)?", "session_id": 15962, "sequence_id": 59, "annotations": []}
{"role": "student", "content": "The same, with the highest power of 20", "session_id": 15962, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "That's right. Here's the method we'll use.", "session_id": 15962, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "When x goes to infinity (x\u2192\u221e), we can ignore the lower powers, as I'll show on the board. Focus only on the higher powers.", "session_id": 15962, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "After removing the lower powers, can you simplify the fraction?", "session_id": 15962, "sequence_id": 63, "annotations": []}
{"role": "student", "content": "-2x^20", "session_id": 15962, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "The x^20 on top and the x^20 at the bottom would cancel out, correct?", "session_id": 15962, "sequence_id": 65, "annotations": []}
{"role": "student", "content": "Ohhh. Yes i forgot.", "session_id": 15962, "sequence_id": 66, "annotations": []}
{"role": "student", "content": "So -2", "session_id": 15962, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "Yes. That's the limit.", "session_id": 15962, "sequence_id": 68, "annotations": []}
{"role": "student", "content": "Okay", "session_id": 15962, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "For problem 14, because x goes to infinity (x\u2192\u221e), we use the same method. Ignore the lower powers on top and at the bottom.", "session_id": 15962, "sequence_id": 70, "annotations": []}
{"role": "student", "content": "Would the answer be 1?", "session_id": 15962, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "Not quite. Can you find the \"order\" of the polynomials on top and at the bottom?", "session_id": 15962, "sequence_id": 72, "annotations": []}
{"role": "student", "content": "On the top it\u2019s just x^7 and on the bottom it\u2019s x^5 - 9", "session_id": 15962, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "Yes. There's only one term on top. But at the bottom, we can ignore the -9.", "session_id": 15962, "sequence_id": 74, "annotations": []}
{"role": "volunteer", "content": "Can you simplify the fraction?", "session_id": 15962, "sequence_id": 75, "annotations": []}
{"role": "student", "content": "x^7/x^5", "session_id": 15962, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "Yes. You're dividing two powers of x So you subtract the exponents, correct?", "session_id": 15962, "sequence_id": 77, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 15962, "sequence_id": 78, "annotations": []}
{"role": "student", "content": "So x^2", "session_id": 15962, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "Right. Now can you find the limit as x \u2192 \u221e ?", "session_id": 15962, "sequence_id": 80, "annotations": []}
{"role": "student", "content": "Is it x^2?", "session_id": 15962, "sequence_id": 81, "annotations": []}
{"role": "volunteer", "content": "Yes, but we want the limit. As \"x\" goes to +\u221e, x\u00b2 also goes to +\u221e, right?", "session_id": 15962, "sequence_id": 82, "annotations": []}
{"role": "volunteer", "content": "For example if x = 1000, then x^2 = 1,000,000.", "session_id": 15962, "sequence_id": 83, "annotations": []}
{"role": "student", "content": "I\u2019m confused", "session_id": 15962, "sequence_id": 84, "annotations": []}
{"role": "volunteer", "content": "The limit is simply \u221e. I can explain further if you like.", "session_id": 15962, "sequence_id": 85, "annotations": []}
{"role": "student", "content": "Yes please", "session_id": 15962, "sequence_id": 86, "annotations": []}
{"role": "volunteer", "content": "Do you see the graph of y = x^2 I drew?", "session_id": 15962, "sequence_id": 87, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 15962, "sequence_id": 88, "annotations": []}
{"role": "volunteer", "content": "As x\u2192\u221e, we move toward the right along the x-axis.", "session_id": 15962, "sequence_id": 89, "annotations": []}
{"role": "volunteer", "content": "Now follow the black curve for y = x\u00b2.  As x\u2192\u221e, y\u2192\u221e following the purple arrow, correct?", "session_id": 15962, "sequence_id": 90, "annotations": []}
{"role": "student", "content": "Correct", "session_id": 15962, "sequence_id": 91, "annotations": []}
{"role": "volunteer", "content": "In other words, the graph continues to infinity as we move toward the right. So the limit of x^2 is simply \u221e.", "session_id": 15962, "sequence_id": 92, "annotations": []}
{"role": "student", "content": "Okay. Thank you", "session_id": 15962, "sequence_id": 93, "annotations": []}
{"role": "volunteer", "content": "You're welcome. That completes the solution, and it's all the time I have. Any quick question before I go?", "session_id": 15962, "sequence_id": 94, "annotations": []}
{"role": "student", "content": "Does it work the same when the limit is approaching - infinity", "session_id": 15962, "sequence_id": 95, "annotations": []}
{"role": "student", "content": "Sorry when x is", "session_id": 15962, "sequence_id": 96, "annotations": []}
{"role": "volunteer", "content": "Yes. I'll show you on the graph.", "session_id": 15962, "sequence_id": 97, "annotations": []}
{"role": "volunteer", "content": "As you move toward the left (x\u2192-\u221e), x\u00b2 goes to +\u221e because a square is always a positive number. So the limit of x^2 as x\u2192-\u221e is again +\u221e.", "session_id": 15962, "sequence_id": 98, "annotations": []}
{"role": "student", "content": "Okay that\u2019s makes sense.", "session_id": 15962, "sequence_id": 99, "annotations": []}
{"role": "student", "content": "that*", "session_id": 15962, "sequence_id": 100, "annotations": []}
{"role": "volunteer", "content": "We can end the session. Feel free to make more requests on TutorConnect as needed, and other coaches can help you. Have a good evening.", "session_id": 15962, "sequence_id": 101, "annotations": [{"pii_type": "PERSON", "surrogate": "TutorConnect", "start": 59, "end": 71}]}
{"role": "student", "content": "Thank you, you too.", "session_id": 15962, "sequence_id": 102, "annotations": []}
{"role": "volunteer", "content": "Hi Alex, how are you?", "session_id": 16134, "sequence_id": 0, "annotations": [{"pii_type": "PERSON", "surrogate": "Alex", "start": 3, "end": 7}]}
{"role": "student", "content": "hi! I'm good, how are you?", "session_id": 16134, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "I am doing well. How may I help you?", "session_id": 16134, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "I was wondering if you could help me with a math problem? my last tutor recommended I get help from someone else bc its kind of hard", "session_id": 16134, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "I would be happy to help.", "session_id": 16134, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "I will take a look at the question you posted.", "session_id": 16134, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "I think I got it. Just double checking something.", "session_id": 16134, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "ok", "session_id": 16134, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "Ok. Are you familiar with how to find the inverse of a function?", "session_id": 16134, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "yes", "session_id": 16134, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "Can you write the inverse of y = mx + b.", "session_id": 16134, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "The equation you have is not entirely correct. For the inverse, you want to solve for x in terms of y.", "session_id": 16134, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "Let me know if anything is unclear.", "session_id": 16134, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "so then what's the inverse", "session_id": 16134, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "I'll walk you through it. We want to solve for x in y = mx + b, so let's start by putting the b term on the other side of the equation. What would we need to do to accomplish this?", "session_id": 16134, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "subtract b", "session_id": 16134, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "That's correct. Let's subtract b from both sides of the equation.", "session_id": 16134, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "do I do it in the old problem", "session_id": 16134, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "Yes.", "session_id": 16134, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "It should be y-b = mx + b -b", "session_id": 16134, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "That's correct. Now how would we remove the m from the right side of the equation?", "session_id": 16134, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "divide", "session_id": 16134, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "That's correct.", "session_id": 16134, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "You now have the inverse. Nice work.", "session_id": 16134, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "x = (y-b)/m is the inverse of y = mx +b.", "session_id": 16134, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "is that all?", "session_id": 16134, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "Now we need to find conditions on m and b so that the function and its inverse are equal.", "session_id": 16134, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "ok", "session_id": 16134, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "The fact x is written in terms of y for the inverse may lead to confusion. We can write the inverse as y = (x-b)/m. It means the same thing. Let me know if this is unclear.", "session_id": 16134, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "makes sense", "session_id": 16134, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "Ok. So we want to choose m and b so that y = x/m - b/m and y = mx + b match. Let's start with m. Can you think of a value of m that can match things up?", "session_id": 16134, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "m/1", "session_id": 16134, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "m = 1 is a good choice. Let's substitute that into both equations and see what we get.", "session_id": 16134, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "We should get y = x - b for the first equation and y = x + b for the second equation.", "session_id": 16134, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "Does this make sense so far?", "session_id": 16134, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "yes", "session_id": 16134, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "Ok. Now for y = x-b and y = x + b to match, what should we choose for b?", "session_id": 16134, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "0??", "session_id": 16134, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "Yes, that's correct. If we pick any other number, the sign won't match. 0 is the only choice.", "session_id": 16134, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "So m = 1 and b = 0 is one set of choices. We are however not completely done.", "session_id": 16134, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "What other value of m will make the slopes match between y = x/m - b/m and y = mx +b?", "session_id": 16134, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "Im not sure", "session_id": 16134, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "m = -1 will also work. Any other number but 1 and - 1 will lead to the slopes being different from each other. Let me know if this is unclear.", "session_id": 16134, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "makes sense", "session_id": 16134, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "Ok. What would we get for the two equations if we substitute m = -1?", "session_id": 16134, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "-x+b for both", "session_id": 16134, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "That's correct. So which values of b would work for the equations to match?", "session_id": 16134, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "isnt it still 0", "session_id": 16134, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "Zero is one such value. Any value will work since we have the same intercept for both equations.", "session_id": 16134, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "The equations will match no matter what we put for b.", "session_id": 16134, "sequence_id": 49, "annotations": []}
{"role": "student", "content": "so then what do I put If anything works", "session_id": 16134, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "For this part you can just say m = -1 and any value for b.", "session_id": 16134, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "ok", "session_id": 16134, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "So the final answer would be m = 1, b = 0 and m = -1 and any value for b. There are two sets of solutions.", "session_id": 16134, "sequence_id": 53, "annotations": []}
{"role": "student", "content": "that's hard", "session_id": 16134, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "It's definitely a more difficult problem.", "session_id": 16134, "sequence_id": 55, "annotations": []}
{"role": "student", "content": "thank you", "session_id": 16134, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "You are most welcome. Is there anything else I can help you with?", "session_id": 16134, "sequence_id": 57, "annotations": []}
{"role": "student", "content": "yes pls", "session_id": 16134, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "Sure.", "session_id": 16134, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "I took a look. So the way to interpret g(x) is if you substitute an x-coordinate into g, g(x) gives you the y coordinate. So part (a) is asking, what is the y-coordinate if you substitue the x-coordinate of -1?", "session_id": 16134, "sequence_id": 60, "annotations": []}
{"role": "student", "content": "-3", "session_id": 16134, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "That's correct.", "session_id": 16134, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "Part (b) is asking, which x-coordinate, if I substitute into g, will give me the y coordinate of -3?", "session_id": 16134, "sequence_id": 63, "annotations": []}
{"role": "student", "content": "I don't know :(", "session_id": 16134, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "No problem. When you asked to solve a function for a value, you can see where the function intersects the y-value and then draw a vertical line up to the x-axis.", "session_id": 16134, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "The x-value gives you the solution.", "session_id": 16134, "sequence_id": 66, "annotations": []}
{"role": "student", "content": "-1", "session_id": 16134, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "Yes. So the trick is to find where the graph intersects -3 and then find the x-value corresponding to the point of intersection.", "session_id": 16134, "sequence_id": 68, "annotations": []}
{"role": "student", "content": "so its g(-1)?", "session_id": 16134, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "g(-1) = -3. If you substitute x = -1 you get y = -3 in the graph. The way to write the solution for (b) is x = -1.", "session_id": 16134, "sequence_id": 70, "annotations": []}
{"role": "student", "content": "ok", "session_id": 16134, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "For part (c), it is asking which value of x gives me a y-value of -3 in the graph. That's how you interepret the inverse function of -3.", "session_id": 16134, "sequence_id": 72, "annotations": []}
{"role": "student", "content": "isn't it -1 then", "session_id": 16134, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "Yes exactly. (b) and (c) are asking the same question but using different notations.", "session_id": 16134, "sequence_id": 74, "annotations": []}
{"role": "student", "content": "ok", "session_id": 16134, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "For part (d), it is asking which value of y in the graph corresponds to an x-value of -1?", "session_id": 16134, "sequence_id": 76, "annotations": []}
{"role": "student", "content": "-3", "session_id": 16134, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "That's correct.", "session_id": 16134, "sequence_id": 78, "annotations": []}
{"role": "student", "content": "so do I put -3 or do I substitute for x and write the equation", "session_id": 16134, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "When you are asked to solve equations, you just put x = the solution as the answer.", "session_id": 16134, "sequence_id": 80, "annotations": []}
{"role": "volunteer", "content": "For part (d) you can write x = -3.", "session_id": 16134, "sequence_id": 81, "annotations": []}
{"role": "student", "content": "ok", "session_id": 16134, "sequence_id": 82, "annotations": []}
{"role": "student", "content": "thank you so much for helping me today", "session_id": 16134, "sequence_id": 83, "annotations": []}
{"role": "volunteer", "content": "You are welcome. Have a good evening.", "session_id": 16134, "sequence_id": 84, "annotations": []}
{"role": "student", "content": "you too\\", "session_id": 16134, "sequence_id": 85, "annotations": []}
{"role": "volunteer", "content": "Hello", "session_id": 17452, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "Hey how are you", "session_id": 17452, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "I am fine how are you?", "session_id": 17452, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "im good thanks", "session_id": 17452, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "could you check a couple of questions for me", "session_id": 17452, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "Okay", "session_id": 17452, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "those look correct", "session_id": 17452, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "those look good", "session_id": 17452, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 17452, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "all set?", "session_id": 17452, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "for what", "session_id": 17452, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "you said you had a couple of questions, so I thought you were done", "session_id": 17452, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "oh no I've got 9 more", "session_id": 17452, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "9 is not a couple, actually", "session_id": 17452, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "I could get someone else to help me if you like", "session_id": 17452, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "we can go on but I am just saying that a couple does not mean 20", "session_id": 17452, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "I don't understand how that affects my work", "session_id": 17452, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "the bottom one is not corrext", "session_id": 17452, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "I am just saying that if you have have a lot questions to check, you should let the tutor know that you have a lot of questions to check.  Don't say \"a couple\". Make sense?", "session_id": 17452, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "Hello, are you still there?", "session_id": 17452, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "yeah I am", "session_id": 17452, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 17452, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "the explanation is very long", "session_id": 17452, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "is it right", "session_id": 17452, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "thats one way to do it", "session_id": 17452, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "alright then I should be good", "session_id": 17452, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "thanks for the help", "session_id": 17452, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "you are welcome e", "session_id": 17452, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "Graph the inequality x\u2265\u22124.", "session_id": 17600, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "hello sure I can help with that", "session_id": 17600, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "I've already got that far", "session_id": 17600, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "first draw the xy axis", "session_id": 17600, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "Bro. I already did that \\left(-4,\\ 0\\right)", "session_id": 17600, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "Its going to land at (-4,0)", "session_id": 17600, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "yes wait", "session_id": 17600, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "then the area above is shaded in", "session_id": 17600, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "because y must be equal to or greater than -4", "session_id": 17600, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "for this case", "session_id": 17600, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "does that make sense?", "session_id": 17600, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "sure", "session_id": 17600, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "it is very similar to graphing y= -4 just you need to color the area above that line", "session_id": 17600, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "any questions?", "session_id": 17600, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "no", "session_id": 17600, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "okay hope this helps! good bye", "session_id": 17600, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "Hi Jamie", "session_id": 18368, "sequence_id": 0, "annotations": [{"pii_type": "PERSON", "surrogate": "Jamie", "start": 3, "end": 8}]}
{"role": "student", "content": "I got -2 can you check my answer?", "session_id": 18368, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "sure", "session_id": 18368, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "I got 9", "session_id": 18368, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "can you show me how you did it?", "session_id": 18368, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "evaluate 9-(3x-6)-y?", "session_id": 18368, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "yes", "session_id": 18368, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "with x =2 and y =-2", "session_id": 18368, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "can you tell me if I'm just right or wrong ?", "session_id": 18368, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "I see", "session_id": 18368, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "you are wrong", "session_id": 18368, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "oh so it's ten!", "session_id": 18368, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "good job", "session_id": 18368, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "any other question?", "session_id": 18368, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "hi Sarah", "session_id": 12559, "sequence_id": 0, "annotations": [{"pii_type": "PERSON", "surrogate": "Sarah", "start": 3, "end": 8}]}
{"role": "student", "content": "Sarah", "session_id": 12559, "sequence_id": 1, "annotations": [{"pii_type": "PERSON", "surrogate": "Sarah", "start": 0, "end": 5}]}
{"role": "volunteer", "content": "How are you doing?", "session_id": 12559, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "Mr. Jensen?", "session_id": 12559, "sequence_id": 3, "annotations": [{"pii_type": "PERSON", "surrogate": "Mr. Jensen", "start": 0, "end": 10}]}
{"role": "student", "content": "good", "session_id": 12559, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "and you?", "session_id": 12559, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "i'm fine thanks for asking", "session_id": 12559, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "how can i help you today?", "session_id": 12559, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "Math :)", "session_id": 12559, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "sure.", "session_id": 12559, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "gimme a min", "session_id": 12559, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "Couple mins", "session_id": 12559, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "please type or add the question on the board", "session_id": 12559, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "to get the question", "session_id": 12559, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "sure.", "session_id": 12559, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "sorry if im taking long my computers lagging", "session_id": 12559, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "it's fine.", "session_id": 12559, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "done", "session_id": 12559, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 12559, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "do you want the answer of 5 a, b, c?", "session_id": 12559, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "yeah i guess", "session_id": 12559, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "where are the ques?", "session_id": 12559, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "idk i think u prob cleared the board", "session_id": 12559, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "want me to put it up again?", "session_id": 12559, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "is it? sorry i didn't notice", "session_id": 12559, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "yup , please", "session_id": 12559, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "kk gimme a sec", "session_id": 12559, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "can u give me a sec i gotta grab my notebook :)", "session_id": 12559, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "so basically i have wrote the formula for rate of change", "session_id": 12559, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "ya sure", "session_id": 12559, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "kk im back", "session_id": 12559, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "the triangle symbol refers to change", "session_id": 12559, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "please note the following formula", "session_id": 12559, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "ok", "session_id": 12559, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "it would be simple to solve your problem", "session_id": 12559, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "ok", "session_id": 12559, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "would you try by yourself once?", "session_id": 12559, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "i dont know how to do this :(", "session_id": 12559, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "ok i'll do one for you", "session_id": 12559, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "so let's see ques 5a", "session_id": 12559, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "so to find rate of change from 2 to 4", "session_id": 12559, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "subtract 11 to 3 and 4 to 2 and divide both of them", "session_id": 12559, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "did you got it?", "session_id": 12559, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "so 11- 3?", "session_id": 12559, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "ya", "session_id": 12559, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "and 4-2?", "session_id": 12559, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "ya", "session_id": 12559, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "so 4", "session_id": 12559, "sequence_id": 47, "annotations": []}
{"role": "student", "content": "is the answer", "session_id": 12559, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "good", "session_id": 12559, "sequence_id": 49, "annotations": []}
{"role": "student", "content": ":)", "session_id": 12559, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "try the next one by yourself now", "session_id": 12559, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "from 4 to 6 find the change", "session_id": 12559, "sequence_id": 52, "annotations": []}
{"role": "student", "content": "is it 4 again?", "session_id": 12559, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "ya!!", "session_id": 12559, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "you got it", "session_id": 12559, "sequence_id": 55, "annotations": []}
{"role": "student", "content": "ok pretty easy", "session_id": 12559, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "yup it is!", "session_id": 12559, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "would you like the try b?", "session_id": 12559, "sequence_id": 58, "annotations": []}
{"role": "student", "content": "didnt we jus do b", "session_id": 12559, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "oh sorry! i thought we were doing a", "session_id": 12559, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "actually the answers are same", "session_id": 12559, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "never mind!", "session_id": 12559, "sequence_id": 62, "annotations": []}
{"role": "student", "content": "so we move in to c", "session_id": 12559, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "lets do c", "session_id": 12559, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "ya", "session_id": 12559, "sequence_id": 65, "annotations": []}
{"role": "student", "content": "ok", "session_id": 12559, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "what the change from 3 to 7?", "session_id": 12559, "sequence_id": 67, "annotations": []}
{"role": "student", "content": "4?", "session_id": 12559, "sequence_id": 68, "annotations": []}
{"role": "student", "content": "is the answer -0.5?", "session_id": 12559, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "no!", "session_id": 12559, "sequence_id": 70, "annotations": []}
{"role": "student", "content": "oh oki", "session_id": 12559, "sequence_id": 71, "annotations": []}
{"role": "student", "content": "how would we solve it?", "session_id": 12559, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "just a min", "session_id": 12559, "sequence_id": 73, "annotations": []}
{"role": "student", "content": "kk", "session_id": 12559, "sequence_id": 74, "annotations": []}
{"role": "student", "content": "is it 2?", "session_id": 12559, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "no", "session_id": 12559, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "it is 1/2", "session_id": 12559, "sequence_id": 77, "annotations": []}
{"role": "student", "content": "how?", "session_id": 12559, "sequence_id": 78, "annotations": []}
{"role": "student", "content": "gtg", "session_id": 12559, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "i guess you divided input by output", "session_id": 12559, "sequence_id": 80, "annotations": []}
{"role": "student", "content": "?", "session_id": 12559, "sequence_id": 81, "annotations": []}
{"role": "student", "content": "so add all of input together", "session_id": 12559, "sequence_id": 82, "annotations": []}
{"role": "student", "content": "then add all of output together??", "session_id": 12559, "sequence_id": 83, "annotations": []}
{"role": "student", "content": "and then divide?", "session_id": 12559, "sequence_id": 84, "annotations": []}
{"role": "volunteer", "content": "it would the change of output divided by change in input", "session_id": 12559, "sequence_id": 85, "annotations": []}
{"role": "volunteer", "content": "did you got it?", "session_id": 12559, "sequence_id": 86, "annotations": []}
{"role": "student", "content": "not really sorry", "session_id": 12559, "sequence_id": 87, "annotations": []}
{"role": "volunteer", "content": "it is just like you did b", "session_id": 12559, "sequence_id": 88, "annotations": []}
{"role": "volunteer", "content": "so for 3 to 7", "session_id": 12559, "sequence_id": 89, "annotations": []}
{"role": "student", "content": "so 3-7?", "session_id": 12559, "sequence_id": 90, "annotations": []}
{"role": "volunteer", "content": "subtract the output 2 to 0 and input 3 to 7", "session_id": 12559, "sequence_id": 91, "annotations": []}
{"role": "student", "content": "or 7-3", "session_id": 12559, "sequence_id": 92, "annotations": []}
{"role": "volunteer", "content": "7-3", "session_id": 12559, "sequence_id": 93, "annotations": []}
{"role": "student", "content": "that would be - 0.5", "session_id": 12559, "sequence_id": 94, "annotations": []}
{"role": "volunteer", "content": "cause we are finding the change", "session_id": 12559, "sequence_id": 95, "annotations": []}
{"role": "volunteer", "content": "it can't be negative", "session_id": 12559, "sequence_id": 96, "annotations": []}
{"role": "volunteer", "content": "its 0.5", "session_id": 12559, "sequence_id": 97, "annotations": []}
{"role": "volunteer", "content": "7-3 is 4", "session_id": 12559, "sequence_id": 98, "annotations": []}
{"role": "student", "content": "yes and 0 - 2 is -2", "session_id": 12559, "sequence_id": 99, "annotations": []}
{"role": "student", "content": "-2 / 4 is -0.5", "session_id": 12559, "sequence_id": 100, "annotations": []}
{"role": "volunteer", "content": "no it should be final - initial", "session_id": 12559, "sequence_id": 101, "annotations": []}
{"role": "volunteer", "content": "so 2-0", "session_id": 12559, "sequence_id": 102, "annotations": []}
{"role": "student", "content": "oh ok", "session_id": 12559, "sequence_id": 103, "annotations": []}
{"role": "volunteer", "content": "can you  now find 7 to 11?", "session_id": 12559, "sequence_id": 104, "annotations": []}
{"role": "student", "content": "yeah i think", "session_id": 12559, "sequence_id": 105, "annotations": []}
{"role": "volunteer", "content": "ok , so try it.", "session_id": 12559, "sequence_id": 106, "annotations": []}
{"role": "student", "content": "would it be 0.5?", "session_id": 12559, "sequence_id": 107, "annotations": []}
{"role": "volunteer", "content": "ya!!", "session_id": 12559, "sequence_id": 108, "annotations": []}
{"role": "volunteer", "content": "good", "session_id": 12559, "sequence_id": 109, "annotations": []}
{"role": "student", "content": "thx", "session_id": 12559, "sequence_id": 110, "annotations": []}
{"role": "volunteer", "content": "welcome", "session_id": 12559, "sequence_id": 111, "annotations": []}
{"role": "student", "content": "see u later?", "session_id": 12559, "sequence_id": 112, "annotations": []}
{"role": "volunteer", "content": "ya sure.", "session_id": 12559, "sequence_id": 113, "annotations": []}
{"role": "student", "content": "bye", "session_id": 12559, "sequence_id": 114, "annotations": []}
{"role": "volunteer", "content": "have a nice day ahead.", "session_id": 12559, "sequence_id": 115, "annotations": []}
{"role": "volunteer", "content": "bye.", "session_id": 12559, "sequence_id": 116, "annotations": []}
{"role": "student", "content": "you too", "session_id": 12559, "sequence_id": 117, "annotations": []}
{"role": "volunteer", "content": "Hello Maria! What Can I help you with today?", "session_id": 12691, "sequence_id": 0, "annotations": [{"pii_type": "PERSON", "surrogate": "Maria", "start": 6, "end": 11}]}
{"role": "student", "content": "my math homework my sub is not good", "session_id": 12691, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "she said was ugly", "session_id": 12691, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "she said I was ugly", "session_id": 12691, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "I feel hurt", "session_id": 12691, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "Oh I'm not sure that's appropriate behavior for a substitute. Maybe you should try to report that to a principal", "session_id": 12691, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "Lets move onto the homework assignment, shall we?", "session_id": 12691, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "I guess so", "session_id": 12691, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "but it really hurt my feelings", "session_id": 12691, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "but can u help with work", "session_id": 12691, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "She don't call me baby boo.", "session_id": 12691, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "Hi, Liam. How are you doing? :)", "session_id": 12818, "sequence_id": 0, "annotations": [{"pii_type": "PERSON", "surrogate": "Liam", "start": 4, "end": 8}]}
{"role": "student", "content": "hii, I'm good :]", "session_id": 12818, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "Welcome to Tutor Provider :)", "session_id": 12818, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "How can I assist you today?", "session_id": 12818, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "thank you", "session_id": 12818, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "I need help studying for a test tomorrow", "session_id": 12818, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "but im just practicing the platform today", "session_id": 12818, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "Okay, could you share me the materials with me regarding the text?", "session_id": 12818, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "Oh, feel free to use the whiteboard!", "session_id": 12818, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "okay well, thank you for your time I am going to get off because today I was just gonna try it out.", "session_id": 12818, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "Okayy, byee :)", "session_id": 12818, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "Liam", "session_id": 12818, "sequence_id": 11, "annotations": [{"pii_type": "PERSON", "surrogate": "Liam", "start": 0, "end": 4}]}
{"role": "student", "content": "hi I need help on homework assighment", "session_id": 12861, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "Hi Amelia! How may I help you", "session_id": 12861, "sequence_id": 1, "annotations": [{"pii_type": "PERSON", "surrogate": "Amelia", "start": 3, "end": 9}]}
{"role": "volunteer", "content": "Oh okay, can you show me the question?", "session_id": 12861, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "question 17", "session_id": 12861, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "Ok, give me a few seconds", "session_id": 12861, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "What do you think is the first step?", "session_id": 12861, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "I mean 18", "session_id": 12861, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "sorry", "session_id": 12861, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "Oh its alright", "session_id": 12861, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "Do you know what an average is?", "session_id": 12861, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "yes add", "session_id": 12861, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "and divide", "session_id": 12861, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "then divide", "session_id": 12861, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "Wow smart!", "session_id": 12861, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "So what numbers should you add first?", "session_id": 12861, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "42 57 62", "session_id": 12861, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "Ok, are you allowed to use a calculator?", "session_id": 12861, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "no", "session_id": 12861, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "I know how to tho", "session_id": 12861, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "Do you want to show me how you add them on the whiteboard?", "session_id": 12861, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "that", "session_id": 12861, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "Wait did you draw on it?", "session_id": 12861, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "For some reason it won\u2019t let me see lol", "session_id": 12861, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "Oh i just saw it", "session_id": 12861, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "il just write", "session_id": 12861, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "Sorry, what was the sum you got?", "session_id": 12861, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "161", "session_id": 12861, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "Now what number do you divide it by?", "session_id": 12861, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "Oh wait, you may need to check your work", "session_id": 12861, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "3", "session_id": 12861, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "I just wrote on the whiteboard.", "session_id": 12861, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "Can you add them again?", "session_id": 12861, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "there", "session_id": 12861, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "7 + 3 + 2 is equal to?", "session_id": 12861, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "12", "session_id": 12861, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "Good job! You may want to check your work for the ones place again", "session_id": 12861, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "Do you see an error?", "session_id": 12861, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "3 divide 162", "session_id": 12861, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "Nice! And you said to divide it by 3, right", "session_id": 12861, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "Yes! Can you write that?", "session_id": 12861, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "Do you know how to divide that?", "session_id": 12861, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "that", "session_id": 12861, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "Is that a 24?", "session_id": 12861, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "21", "session_id": 12861, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "Close! But let me show you", "session_id": 12861, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "3 goes into 1 how many times?", "session_id": 12861, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "0", "session_id": 12861, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "or1", "session_id": 12861, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "So we move to the next place", "session_id": 12861, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "3 cannot go into 1, so we move to the next place", "session_id": 12861, "sequence_id": 49, "annotations": []}
{"role": "student", "content": "ok", "session_id": 12861, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "Now, 3 goes into 16 how many times?", "session_id": 12861, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "6", "session_id": 12861, "sequence_id": 52, "annotations": []}
{"role": "student", "content": "times", "session_id": 12861, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "3 x 6 is what number?", "session_id": 12861, "sequence_id": 54, "annotations": []}
{"role": "student", "content": "18", "session_id": 12861, "sequence_id": 55, "annotations": []}
{"role": "student", "content": "I understand", "session_id": 12861, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "Nice! So we multiply 5 and 3", "session_id": 12861, "sequence_id": 57, "annotations": []}
{"role": "student", "content": "it goes 5 times", "session_id": 12861, "sequence_id": 58, "annotations": []}
{"role": "student", "content": "15", "session_id": 12861, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "And we subtract that from the 16", "session_id": 12861, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "And we bring the 2 down", "session_id": 12861, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "Good!!", "session_id": 12861, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "What do you think is the never step?", "session_id": 12861, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "Next*", "session_id": 12861, "sequence_id": 64, "annotations": []}
{"role": "student", "content": "uh", "session_id": 12861, "sequence_id": 65, "annotations": []}
{"role": "student", "content": "hhhh", "session_id": 12861, "sequence_id": 66, "annotations": []}
{"role": "student", "content": "move", "session_id": 12861, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "lol, now we see how many times 3 goes into 12", "session_id": 12861, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "this is called long division", "session_id": 12861, "sequence_id": 69, "annotations": []}
{"role": "student", "content": "4", "session_id": 12861, "sequence_id": 70, "annotations": []}
{"role": "student", "content": "3 x 12 ix 12", "session_id": 12861, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "Great job! Can you show me how to do that?", "session_id": 12861, "sequence_id": 72, "annotations": []}
{"role": "student", "content": "that??????????????????", "session_id": 12861, "sequence_id": 73, "annotations": []}
{"role": "student", "content": "Liam", "session_id": 12861, "sequence_id": 74, "annotations": [{"pii_type": "PERSON", "surrogate": "Liam", "start": 0, "end": 4}]}
{"role": "volunteer", "content": "Yes, subtract it", "session_id": 12861, "sequence_id": 75, "annotations": []}
{"role": "student", "content": "uhhhh", "session_id": 12861, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "You\u2019re doing good, dont worry lol", "session_id": 12861, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "And we write the 4 there", "session_id": 12861, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "Now, what is the average?", "session_id": 12861, "sequence_id": 79, "annotations": []}
{"role": "student", "content": "54", "session_id": 12861, "sequence_id": 80, "annotations": []}
{"role": "volunteer", "content": "Good job! Do you understand the question a little bit more?", "session_id": 12861, "sequence_id": 81, "annotations": []}
{"role": "student", "content": "ya", "session_id": 12861, "sequence_id": 82, "annotations": []}
{"role": "student", "content": "number 20", "session_id": 12861, "sequence_id": 83, "annotations": []}
{"role": "volunteer", "content": "Alright, just to tell you, we have ten minutes left.", "session_id": 12861, "sequence_id": 84, "annotations": []}
{"role": "volunteer", "content": "Let me see", "session_id": 12861, "sequence_id": 85, "annotations": []}
{"role": "student", "content": "ok", "session_id": 12861, "sequence_id": 86, "annotations": []}
{"role": "volunteer", "content": "Do you know what a multiple is?", "session_id": 12861, "sequence_id": 87, "annotations": []}
{"role": "student", "content": "3", "session_id": 12861, "sequence_id": 88, "annotations": []}
{"role": "student", "content": "?", "session_id": 12861, "sequence_id": 89, "annotations": []}
{"role": "student", "content": "or 32", "session_id": 12861, "sequence_id": 90, "annotations": []}
{"role": "student", "content": "I mean 2", "session_id": 12861, "sequence_id": 91, "annotations": []}
{"role": "volunteer", "content": "How about this, what is the definition of a multiple?", "session_id": 12861, "sequence_id": 92, "annotations": []}
{"role": "student", "content": "3,6,9", "session_id": 12861, "sequence_id": 93, "annotations": []}
{"role": "volunteer", "content": "Yes, so basically it is skip counting.", "session_id": 12861, "sequence_id": 94, "annotations": []}
{"role": "volunteer", "content": "Wait sorry, im ooking at the question", "session_id": 12861, "sequence_id": 95, "annotations": []}
{"role": "volunteer", "content": "Okay", "session_id": 12861, "sequence_id": 96, "annotations": []}
{"role": "volunteer", "content": "Can you list the multiples of 6?", "session_id": 12861, "sequence_id": 97, "annotations": []}
{"role": "volunteer", "content": "Or you can write it on the whiteboard", "session_id": 12861, "sequence_id": 98, "annotations": []}
{"role": "student", "content": "3,2", "session_id": 12861, "sequence_id": 99, "annotations": []}
{"role": "volunteer", "content": "Almost! You can start from 6 and keep adding by 6", "session_id": 12861, "sequence_id": 100, "annotations": []}
{"role": "volunteer", "content": "For example,", "session_id": 12861, "sequence_id": 101, "annotations": []}
{"role": "volunteer", "content": "Do you see what im writing?", "session_id": 12861, "sequence_id": 102, "annotations": []}
{"role": "student", "content": "ya", "session_id": 12861, "sequence_id": 103, "annotations": []}
{"role": "volunteer", "content": "Do you notice a pattern?", "session_id": 12861, "sequence_id": 104, "annotations": []}
{"role": "student", "content": "yes", "session_id": 12861, "sequence_id": 105, "annotations": []}
{"role": "volunteer", "content": "Great! Can you try to list the multiples of 9?", "session_id": 12861, "sequence_id": 106, "annotations": []}
{"role": "student", "content": "3 1 9", "session_id": 12861, "sequence_id": 107, "annotations": []}
{"role": "volunteer", "content": "Almost!", "session_id": 12861, "sequence_id": 108, "annotations": []}
{"role": "volunteer", "content": "First, we start from 0.", "session_id": 12861, "sequence_id": 109, "annotations": []}
{"role": "volunteer", "content": "Each time, we add by 9", "session_id": 12861, "sequence_id": 110, "annotations": []}
{"role": "volunteer", "content": "For example", "session_id": 12861, "sequence_id": 111, "annotations": []}
{"role": "volunteer", "content": "What do you think is after 0 if we add by 9?", "session_id": 12861, "sequence_id": 112, "annotations": []}
{"role": "student", "content": "1", "session_id": 12861, "sequence_id": 113, "annotations": []}
{"role": "volunteer", "content": "0 + 9 =", "session_id": 12861, "sequence_id": 114, "annotations": []}
{"role": "student", "content": "9", "session_id": 12861, "sequence_id": 115, "annotations": []}
{"role": "volunteer", "content": "Hey Amelia, just to let you know our 30 minutes has ended. I hope I brought some knowledge and helped you with some parts of your homework. I can tutor you another time, but I have to go now.", "session_id": 12861, "sequence_id": 116, "annotations": [{"pii_type": "PERSON", "surrogate": "Amelia", "start": 4, "end": 10}]}
{"role": "volunteer", "content": "Good job! Keep adding by 9 and you should see a pattern", "session_id": 12861, "sequence_id": 117, "annotations": []}
{"role": "volunteer", "content": "Hi Sophia", "session_id": 12933, "sequence_id": 0, "annotations": [{"pii_type": "PERSON", "surrogate": "Sophia", "start": 3, "end": 9}]}
{"role": "student", "content": "hello can you help me look over a calc test I failed?", "session_id": 12933, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "OK.", "session_id": 12933, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "usually I can share my screen with the doc, but the button disapeared so it may take me awhile to write it on the whiteboard", "session_id": 12933, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "OK. I understand.", "session_id": 12933, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "Done", "session_id": 12933, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "I see it.", "session_id": 12933, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "in my orginial answer I put that it doesn't guarantee a value of c which is 2.", "session_id": 12933, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "He said that was wrong and said that it does and f(x) is continuous everywhere except at x=-2 and -2,3 are not in (0,3", "session_id": 12933, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "I was confused.", "session_id": 12933, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "Give me a minute to see why your answer was wrong.", "session_id": 12933, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "First, if you plug in x=0, what do you get for f(x)) = ?", "session_id": 12933, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "And if you plug in x=3, at the other end of the interval, f(3) = ?", "session_id": 12933, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "Perfect. And because 0<1<6/5, the theorem guarantees that \"c\" exists such that f(c)=1.", "session_id": 12933, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "oh, I guess I got confused because 2 didnt exist", "session_id": 12933, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "That's the first step. Give me a minute.", "session_id": 12933, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "Next, we need to solve 2x/(x+2) = 1. You already did that and found x=2, which is correct.", "session_id": 12933, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "so would the full answer be The IVT theorem, guarantees a value of c in the interval. C=2", "session_id": 12933, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "Correct.", "session_id": 12933, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "can we do another one?", "session_id": 12933, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "Sure.", "session_id": 12933, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "done", "session_id": 12933, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "Let's start with 1(a). Would you know what formula to use to find the AROC ?", "session_id": 12933, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "It should be f(b)-f(a) on top.", "session_id": 12933, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "Or in this case, g(b)-g(a).", "session_id": 12933, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "Yes. 4/18, or 2/9 if you simplify.", "session_id": 12933, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "is that it?", "session_id": 12933, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "That's it for 1(a).", "session_id": 12933, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "if forgot lb", "session_id": 12933, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "I'm not sure what you wrote where I circled.", "session_id": 12933, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "the formula", "session_id": 12933, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "The question is not very clear, but the IROC at x=7 is (g(9)-g(5))/(9-5).", "session_id": 12933, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "I will rewrite it", "session_id": 12933, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "better?", "session_id": 12933, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "Yes. x is between x=5 and x=9. So the formula I wrote above will answer question 1(b).", "session_id": 12933, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "\"3\" is correct.", "session_id": 12933, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "Could we do another?", "session_id": 12933, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "OK. One last problem.", "session_id": 12933, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "I forgot what/ how to do this", "session_id": 12933, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "To begin, what do you get if you plug in x=2 into the expression?", "session_id": 12933, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "0/0", "session_id": 12933, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "Not exactly. The numerator is x^2+4 = 2^2+4 = ?", "session_id": 12933, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "Right. Because the denominator goes to zero, the limit will be either +\u221e or -\u221e, correct?", "session_id": 12933, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "how do i choose which one?", "session_id": 12933, "sequence_id": 43, "annotations": []}
{"role": "student", "content": "do I do positive because they are both even?", "session_id": 12933, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "Because we're looking for the limit \"from the right\" (x\u21922+), try to plug in x=2.01 and see if you get a positive or negative number.", "session_id": 12933, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "?", "session_id": 12933, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "is that right", "session_id": 12933, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "Yes. The limit is +\u221e. But some teachers would say that the limit does not exist (DNE).", "session_id": 12933, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "okay it was a mutlliple choice and infinity was one of the answers so I will go with that", "session_id": 12933, "sequence_id": 49, "annotations": []}
{"role": "student", "content": "thank you so much!", "session_id": 12933, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "You're welcome. Have a good evening.", "session_id": 12933, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "you to", "session_id": 12933, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "hi Leo", "session_id": 13034, "sequence_id": 0, "annotations": [{"pii_type": "PERSON", "surrogate": "Leo", "start": 3, "end": 6}]}
{"role": "student", "content": "Hi", "session_id": 13034, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "Welcome to Tutor Provider!", "session_id": 13034, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "Thank you", "session_id": 13034, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "Are you AI?", "session_id": 13034, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "not at all. I'm quite human.", "session_id": 13034, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "Alright", "session_id": 13034, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "do you have a Geometry problem for us to work on?", "session_id": 13034, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "No", "session_id": 13034, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "I'm preparing for the SAT", "session_id": 13034, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 13034, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "I'll be leaving now, I have a class to attend to", "session_id": 13034, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "so we're done?", "session_id": 13034, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 13034, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "what was the purpose of this session?", "session_id": 13034, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "just to find out if coaches were AI?", "session_id": 13034, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "Kind of", "session_id": 13034, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "OK, well now you know", "session_id": 13034, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "You seem AI", "session_id": 13034, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "really?", "session_id": 13034, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 13034, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "I must be really good AI to pass the Turing Test", "session_id": 13034, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "I mean, it's so random.", "session_id": 13034, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "I used to be a software developer, doing AI research", "session_id": 13034, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "Cool? Anyways peace out", "session_id": 13034, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "yeah, you too", "session_id": 13034, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "hi!", "session_id": 13834, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "hi Sarah", "session_id": 13834, "sequence_id": 1, "annotations": [{"pii_type": "PERSON", "surrogate": "Sarah", "start": 3, "end": 8}]}
{"role": "student", "content": "could you help me study for my algebra test?", "session_id": 13834, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "yes I do", "session_id": 13834, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "do you have handout or note that we can work on?", "session_id": 13834, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "yes, i do", "session_id": 13834, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "may you please upload them onto the board?", "session_id": 13834, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "how can i upload a pdf?", "session_id": 13834, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "you can\nsharefile.comare screen (only share pdf window) 2. using snipping tool (on laptop) or screen shot (phone) and download the picture and upload that picture onto the board", "session_id": 13834, "sequence_id": 8, "annotations": [{"pii_type": "URL", "surrogate": "sharefile.com", "start": 8, "end": 21}]}
{"role": "volunteer", "content": "what device are you using?", "session_id": 13834, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "laptop", "session_id": 13834, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "I see it now", "session_id": 13834, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "so i got 1-9 down", "session_id": 13834, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "i want to see #10", "session_id": 13834, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "can you scroll the pdf file down a little bit", "session_id": 13834, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "thanks", "session_id": 13834, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "so he told us that there are certain problems he wants us to focus on bc they would help us the most on the test", "session_id": 13834, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "uh huh", "session_id": 13834, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "what are they", "session_id": 13834, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "the ones he told us to focus on were 9,10, 17, 18,21,24,25", "session_id": 13834, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "let's work on #110", "session_id": 13834, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "10", "session_id": 13834, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "he said 26-29 would count as a bonus", "session_id": 13834, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "okay", "session_id": 13834, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "what is your solution?", "session_id": 13834, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "we can start with your idea", "session_id": 13834, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "so a says if the lines are parallel", "session_id": 13834, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "yeah", "session_id": 13834, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "so we would have to get the first equation in y=mx+b", "session_id": 13834, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "correcttt", "session_id": 13834, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "good jobbb", "session_id": 13834, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "ky=-3x+7", "session_id": 13834, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "whay would you do with the k?", "session_id": 13834, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "or why are there so many variables?", "session_id": 13834, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "this is quite complicated", "session_id": 13834, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "I will explain why they have so many variables later", "session_id": 13834, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "okay", "session_id": 13834, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "let's work on k", "session_id": 13834, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "think about this: you want to eleminate k on the left side to make slope-intercept form", "session_id": 13834, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "what calculation you can do (of course, on both sides is required) to eliminate k", "session_id": 13834, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "divide", "session_id": 13834, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "correctttt", "session_id": 13834, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "divide by what?", "session_id": 13834, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "absolutely", "session_id": 13834, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "uh oh", "session_id": 13834, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "that looks weird to me", "session_id": 13834, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "you forgot the parenthesis", "session_id": 13834, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "oh yea, sorry, i just put it like that instead of writing the k underneath the -3x and the 7", "session_id": 13834, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "yeah", "session_id": 13834, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "but yea, i understand what you mean", "session_id": 13834, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "please simplify", "session_id": 13834, "sequence_id": 50, "annotations": []}
{"role": "student", "content": "would i just distribute the k, so it would  be -3xk+7k?", "session_id": 13834, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "it is division, not multiplication. But your point is correct", "session_id": 13834, "sequence_id": 52, "annotations": []}
{"role": "student", "content": "so what would it be?", "session_id": 13834, "sequence_id": 53, "annotations": []}
{"role": "student", "content": "ohhhh", "session_id": 13834, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "yeah, you get so closee, good job", "session_id": 13834, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "now, what do we do on step 2?", "session_id": 13834, "sequence_id": 56, "annotations": []}
{"role": "student", "content": "for b?", "session_id": 13834, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "no, for a", "session_id": 13834, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "we haven't found the value of k", "session_id": 13834, "sequence_id": 59, "annotations": []}
{"role": "student", "content": "would you subtitute smth? Like bring in the other equation?", "session_id": 13834, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "that way we will find the intercept, right?", "session_id": 13834, "sequence_id": 61, "annotations": []}
{"role": "student", "content": "yes", "session_id": 13834, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "but the question asks for parallel lines which have no interception", "session_id": 13834, "sequence_id": 63, "annotations": []}
{"role": "student", "content": "but we still need the slope", "session_id": 13834, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "hint: relationship between slope of 2 parallel lines", "session_id": 13834, "sequence_id": 65, "annotations": []}
{"role": "student", "content": "its the same", "session_id": 13834, "sequence_id": 66, "annotations": []}
{"role": "student", "content": "perpendicular would be the opposite reciprocal", "session_id": 13834, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "yeah", "session_id": 13834, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "so you know the relation ship", "session_id": 13834, "sequence_id": 69, "annotations": []}
{"role": "student", "content": "yes, but what does the other one have to do with this? because that slope would be 4", "session_id": 13834, "sequence_id": 70, "annotations": []}
{"role": "student", "content": "-4", "session_id": 13834, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "correctttt", "session_id": 13834, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "so what -3/k should be equal to?", "session_id": 13834, "sequence_id": 73, "annotations": []}
{"role": "student", "content": "ohh to the -4x?", "session_id": 13834, "sequence_id": 74, "annotations": []}
{"role": "volunteer", "content": "yah", "session_id": 13834, "sequence_id": 75, "annotations": []}
{"role": "student", "content": "could you just put y=-4x+7/k?", "session_id": 13834, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "no", "session_id": 13834, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "because slopes of parallel lines are equal", "session_id": 13834, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "-3/k = -4", "session_id": 13834, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "as we can see, the relationship help us narrow down to 1 variable", "session_id": 13834, "sequence_id": 80, "annotations": []}
{"role": "volunteer", "content": "and we can solve for k", "session_id": 13834, "sequence_id": 81, "annotations": []}
{"role": "student", "content": "k=3/4", "session_id": 13834, "sequence_id": 82, "annotations": []}
{"role": "volunteer", "content": "it is righttt", "session_id": 13834, "sequence_id": 83, "annotations": []}
{"role": "volunteer", "content": "well done", "session_id": 13834, "sequence_id": 84, "annotations": []}
{"role": "volunteer", "content": "so for part a, in Boston", "session_id": 13834, "sequence_id": 85, "annotations": [{"pii_type": "LOCATION", "surrogate": "in Boston", "start": 15, "end": 24}]}
{"role": "student", "content": "so perpendicular? Would i just use the 3/4, but since its the negative reciprocal it would be -4/3", "session_id": 13834, "sequence_id": 86, "annotations": []}
{"role": "volunteer", "content": "that negative reciprocal is casted on the slopes of 2 perpendicular lines, not on k (random variable)", "session_id": 13834, "sequence_id": 87, "annotations": []}
{"role": "student", "content": "okay", "session_id": 13834, "sequence_id": 88, "annotations": []}
{"role": "volunteer", "content": "you can put slope (1) equal to negative reciprocal of slope (2) \nor slope (2) equal to negative reciprocal of slope (1)", "session_id": 13834, "sequence_id": 89, "annotations": []}
{"role": "student", "content": "would the k be negative?", "session_id": 13834, "sequence_id": 90, "annotations": []}
{"role": "student", "content": "k=-12", "session_id": 13834, "sequence_id": 91, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 13834, "sequence_id": 92, "annotations": []}
{"role": "volunteer", "content": "no mistake", "session_id": 13834, "sequence_id": 93, "annotations": []}
{"role": "volunteer", "content": "good job", "session_id": 13834, "sequence_id": 94, "annotations": []}
{"role": "volunteer", "content": "let's work on 17", "session_id": 13834, "sequence_id": 95, "annotations": []}
{"role": "student", "content": "oh okay, im sorry, but i have to go, thank you so much for your patience with walking me through this problem", "session_id": 13834, "sequence_id": 96, "annotations": []}
{"role": "volunteer", "content": "alright", "session_id": 13834, "sequence_id": 97, "annotations": []}
{"role": "volunteer", "content": "you work well", "session_id": 13834, "sequence_id": 98, "annotations": []}
{"role": "volunteer", "content": "bye", "session_id": 13834, "sequence_id": 99, "annotations": []}
{"role": "student", "content": "hope you have a good rest of your night!", "session_id": 13834, "sequence_id": 100, "annotations": []}
{"role": "student", "content": "bye", "session_id": 13834, "sequence_id": 101, "annotations": []}
{"role": "volunteer", "content": "you too", "session_id": 13834, "sequence_id": 102, "annotations": []}
{"role": "student", "content": "hi", "session_id": 13899, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "GA Liam", "session_id": 13899, "sequence_id": 1, "annotations": [{"pii_type": "PERSON", "surrogate": "Liam", "start": 3, "end": 7}]}
{"role": "volunteer", "content": "how may I help u?", "session_id": 13899, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "here I need to simplify this problem", "session_id": 13899, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "do u mind typing example.com is easier to read...", "session_id": 13899, "sequence_id": 4, "annotations": [{"pii_type": "URL", "surrogate": "example.com", "start": 17, "end": 28}]}
{"role": "student", "content": "well there are a lot of exponents and IDK how to write them in a computer", "session_id": 13899, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "pastebin.comn u copy and paste it?", "session_id": 13899, "sequence_id": 6, "annotations": [{"pii_type": "URL", "surrogate": "pastebin.com", "start": 0, "end": 12}]}
{"role": "student", "content": "the question is from paper", "session_id": 13899, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "Proceedceed....", "session_id": 13899, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "so...", "session_id": 13899, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "no is k", "session_id": 13899, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "done", "session_id": 13899, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "sweet..good handwriting", "session_id": 13899, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "So how do u think we should start?", "session_id": 13899, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "by the parentheses", "session_id": 13899, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "correct", "session_id": 13899, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "which one u want to start with?", "session_id": 13899, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "just circle the one you want to start with", "session_id": 13899, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "like the x by 2", "session_id": 13899, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "x squared??", "session_id": 13899, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "yep", "session_id": 13899, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "So do u simplify how do u treat the exponents?", "session_id": 13899, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "only use the exponents 2 and 3", "session_id": 13899, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "ok..but what do u do with those numbers?", "session_id": 13899, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "llke the answer is 8", "session_id": 13899, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "how did u get 8?", "session_id": 13899, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "oh like 2 squared by 3?", "session_id": 13899, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "do u agree with that statement?", "session_id": 13899, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "no", "session_id": 13899, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "no?", "session_id": 13899, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "how did u get 8?", "session_id": 13899, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "by multiplying 2 times 2 times 2", "session_id": 13899, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "when u multiply letters with same bases add the exponents together", "session_id": 13899, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "so your answer would be....", "session_id": 13899, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "ohhh", "session_id": 13899, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "6", "session_id": 13899, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "correct", "session_id": 13899, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "6-7", "session_id": 13899, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "lol", "session_id": 13899, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "so is x by the power of 6", "session_id": 13899, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "6-7", "session_id": 13899, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "correct", "session_id": 13899, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "k", "session_id": 13899, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "k", "session_id": 13899, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "make sense?", "session_id": 13899, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "yes", "session_id": 13899, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "ok..let's work on the other parentheses", "session_id": 13899, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "k", "session_id": 13899, "sequence_id": 47, "annotations": []}
{"role": "student", "content": "so it will be 5x+15x ?", "session_id": 13899, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "let's add everything in that parentheses first...", "session_id": 13899, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "what would u get?", "session_id": 13899, "sequence_id": 50, "annotations": []}
{"role": "student", "content": "3x?", "session_id": 13899, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "15x?", "session_id": 13899, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "no..what is x+3x?", "session_id": 13899, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "did u write the problem correctly?", "session_id": 13899, "sequence_id": 54, "annotations": []}
{"role": "student", "content": "yup", "session_id": 13899, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 13899, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "what is x+3x?", "session_id": 13899, "sequence_id": 57, "annotations": []}
{"role": "student", "content": "mmm", "session_id": 13899, "sequence_id": 58, "annotations": []}
{"role": "student", "content": "4x", "session_id": 13899, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "correct", "session_id": 13899, "sequence_id": 60, "annotations": []}
{"role": "student", "content": ":)", "session_id": 13899, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "now if u multiply by 5..what do u get?", "session_id": 13899, "sequence_id": 62, "annotations": []}
{"role": "student", "content": "20x?", "session_id": 13899, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "correct", "session_id": 13899, "sequence_id": 64, "annotations": []}
{"role": "student", "content": "k", "session_id": 13899, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "so please re-write the problem again so far with the latest simplification", "session_id": 13899, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "is that the re-write?", "session_id": 13899, "sequence_id": 67, "annotations": []}
{"role": "student", "content": "what do u mean by re-write", "session_id": 13899, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "the problem I just rewrote-write it so far...", "session_id": 13899, "sequence_id": 69, "annotations": []}
{"role": "student", "content": "yes then it is", "session_id": 13899, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "then it is what?", "session_id": 13899, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "where is the 4?", "session_id": 13899, "sequence_id": 72, "annotations": []}
{"role": "student", "content": "the 4 was multiplied by 5", "session_id": 13899, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "ok..I didn't ask you to multiply anything...I asked for a simplification inside the parentheses. Pleaseease follow my directions...otherwise you may not get the right answer", "session_id": 13899, "sequence_id": 74, "annotations": []}
{"role": "student", "content": "okay", "session_id": 13899, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "please fill in the information where I put the 4", "session_id": 13899, "sequence_id": 76, "annotations": []}
{"role": "student", "content": "k", "session_id": 13899, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "now simplify the 5(4x)and continue to write it in the parenthesis", "session_id": 13899, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "awesome...", "session_id": 13899, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "now you have simplified everything in the parenthesis...", "session_id": 13899, "sequence_id": 80, "annotations": []}
{"role": "volunteer", "content": "how do u simplify further?", "session_id": 13899, "sequence_id": 81, "annotations": []}
{"role": "student", "content": "yes? like the 20 times 4 ?", "session_id": 13899, "sequence_id": 82, "annotations": []}
{"role": "volunteer", "content": "correct", "session_id": 13899, "sequence_id": 83, "annotations": []}
{"role": "volunteer", "content": "please simplify", "session_id": 13899, "sequence_id": 84, "annotations": []}
{"role": "student", "content": "but also could it be 4 times x ?", "session_id": 13899, "sequence_id": 85, "annotations": []}
{"role": "student", "content": "hi ?", "session_id": 13899, "sequence_id": 86, "annotations": []}
{"role": "volunteer", "content": "hello", "session_id": 13899, "sequence_id": 87, "annotations": []}
{"role": "volunteer", "content": "Hi!, How are you? :)", "session_id": 13941, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "Hello. I'm good. How are you? Then you touch on that actually. I mean you can't they don't respond that fast. The ****. Oh, it's, it's it's like saying what I'm saying the type.", "session_id": 13941, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "oh.", "session_id": 13941, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "God", "session_id": 13941, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "Oh dude, why you", "session_id": 13941, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "My apologies.", "session_id": 13941, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "That's ok, I understand", "session_id": 13941, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "I need help.", "session_id": 13941, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "Do you want me to tell you the question?", "session_id": 13941, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "Are you able to hear my microphone?", "session_id": 13941, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "No, I cannot.", "session_id": 13941, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "Alright that ok, Tell me your situation.", "session_id": 13941, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "OK, so I'm doing the graph function. It says the entire graph of the function H is shown in the figure below.", "session_id": 13941, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "Could you paste in a screenshot of your equation/graph?", "session_id": 13941, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "Yes, I have, I got you.", "session_id": 13941, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "Can you see the screenshot?", "session_id": 13941, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "Yes, Thank you, Lets get started. :)", "session_id": 13941, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "What exactly are you confused with?", "session_id": 13941, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "I don't understand how to do this at all.", "session_id": 13941, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "Ok, FIrst i will ask this, What is range and domain?", "session_id": 13941, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "I am confused about how the way my teacher explains it, and it is confusing.", "session_id": 13941, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "Um, ain't is in range.", "session_id": 13941, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "Oh, ain't the main like the middle number.", "session_id": 13941, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "Ok, so range is basically up and down coordinates, domain is left and right coordinates", "session_id": 13941, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "OK, thanks for letting me know.", "session_id": 13941, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "So, to help solve your problem you need to first find your minimum value corrdinates, Do you think you can do that?", "session_id": 13941, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "My minimum value coordinates you said?", "session_id": 13941, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 13941, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "Hint: the vertex is always the min or maximum value", "session_id": 13941, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "Essentially the vertex of a graph is where the point of the parabola starts.", "session_id": 13941, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "is the vertex 4 and 0.", "session_id": 13941, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "You are very close, Not quite, Check again.", "session_id": 13941, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "4 and -1.", "session_id": 13941, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "Yessir, Good job now using those coordinates, we need the domain and range, I will help you figure this out", "session_id": 13941, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "OK", "session_id": 13941, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "So, Domain as you understand is how far up and down the coordinates go on the graph, Specificially the parabola", "session_id": 13941, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "So is the domain 0 and 10?", "session_id": 13941, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "If both side of the parabola face both directions on the x-coordinate plane, Does it go forever?", "session_id": 13941, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 13941, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "So what would that mean the answer would be?, Look at the options you have, as the domain goes forever both sides, Which is most logically correct?", "session_id": 13941, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "Wouldn't the answer be 0 and 10.", "session_id": 13941, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "But if it goes forever, Don't you have to include all real numbers? You got this!", "session_id": 13941, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "I'm not understanding.", "session_id": 13941, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "If the graph extends both sides of the x-plane forever, that means it includes all real numbers such as or -1.-2.-3. So the domain would not be only numbers but what phrase?", "session_id": 13941, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "Imagine this, You walk on one side of the road forever while your friends walks on the opposite side of you, He represents postive number and you negitive. If you both had a domain or how far you walked it would be all numbers", "session_id": 13941, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "I'm not understanding I was, I'm.", "session_id": 13941, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "Yeah but like, oh, so it would be all real numbers.", "session_id": 13941, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "YES!, you got it!", "session_id": 13941, "sequence_id": 47, "annotations": []}
{"role": "student", "content": "OK, I understand it now.", "session_id": 13941, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "Now, Lets move onto the range", "session_id": 13941, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "Range as you understand is up and down coordinates", "session_id": 13941, "sequence_id": 50, "annotations": []}
{"role": "student", "content": "Yes, I understand.", "session_id": 13941, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "They are asking where does the range start and go on forever upwards or downwards. Down the grapj face up or down?", "session_id": 13941, "sequence_id": 52, "annotations": []}
{"role": "student", "content": "The range starts at -1 and ends at 10.", "session_id": 13941, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "To find where the range starts, Can you tell me the y-coordinate of the vertex (4,-1) is?  (X,y)", "session_id": 13941, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "When you explain a graph it is not limited to the graph, It may seem 10 is the maximum number but it goes on forever upwards", "session_id": 13941, "sequence_id": 55, "annotations": []}
{"role": "student", "content": "I don't know, I'm confused.", "session_id": 13941, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "Can you click on the listen button at the top right corner", "session_id": 13941, "sequence_id": 57, "annotations": []}
{"role": "student", "content": "I don't see the listen button.", "session_id": 13941, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "Ok, ! minute, I will figure this out", "session_id": 13941, "sequence_id": 59, "annotations": []}
{"role": "student", "content": "ok", "session_id": 13941, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "I seems my microphone system is bugged out, I will try to elaborate better by chat", "session_id": 13941, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "Whats is the y vlaue of (4,-1) or the vertex", "session_id": 13941, "sequence_id": 62, "annotations": []}
{"role": "student", "content": "My bad, I tried to erase the thi so I get.", "session_id": 13941, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "-1 is the y-value as it is formatted (x,y) correct?", "session_id": 13941, "sequence_id": 64, "annotations": []}
{"role": "student", "content": "Are you asking me is why less than a ready to -1.", "session_id": 13941, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "Not exactly, Its Why is the a range all y-values greater than or equal to -1", "session_id": 13941, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "*Why the range is", "session_id": 13941, "sequence_id": 67, "annotations": []}
{"role": "student", "content": "It's like you're comparing just you talking to us. I'm not talking. I mean, do you know what's, what do you know what's range? Range is interval, like interval between two numbers, right? And everything, it's not be greater than certain numbers. Like you're comparing chair and", "session_id": 13941, "sequence_id": 68, "annotations": []}
{"role": "student", "content": "GPA.", "session_id": 13941, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "Not quite, Range is the y-values. In basic terms the up and down coordinates and in this case since the vertex is 4,-1 that means it starts at -1 y-value and goes up forever including -1", "session_id": 13941, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "It goes down forever or up forever based the where the graph faces up or down", "session_id": 13941, "sequence_id": 71, "annotations": []}
{"role": "student", "content": "So the answer is why is greater than or equal to -1.", "session_id": 13941, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "YES!, You got it, Do you fully understand now?", "session_id": 13941, "sequence_id": 73, "annotations": []}
{"role": "student", "content": "a little", "session_id": 13941, "sequence_id": 74, "annotations": []}
{"role": "volunteer", "content": "Ok so, If you start and -1 depth on a submarine, And you can go up forever that means including the current depth and forever above is represented by y greaterthan or equal to -1", "session_id": 13941, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "Does that clear it up a bit?", "session_id": 13941, "sequence_id": 76, "annotations": []}
{"role": "student", "content": "yes thanks", "session_id": 13941, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "Awesome!, Anything else I can help with?", "session_id": 13941, "sequence_id": 78, "annotations": []}
{"role": "student", "content": "no", "session_id": 13941, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "Alright :), Have a great rest of your day!", "session_id": 13941, "sequence_id": 80, "annotations": []}
{"role": "student", "content": "hi", "session_id": 15129, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "hi! how can I help you today?", "session_id": 15129, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "ok, so let's work on graphing these one by one", "session_id": 15129, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "so for the equation x-3=y, what would we do", "session_id": 15129, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "we would probably start by graphing the equation. since the condition is x<=-2, then we would graph the equation y=x-3 until we hit the -2 on the x axis", "session_id": 15129, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "I drew a red line at x=-2, do you think you can graph x-3=y?", "session_id": 15129, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "does this all make sense?", "session_id": 15129, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "yes", "session_id": 15129, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "we would do the same thing for the other equation as well", "session_id": 15129, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "hi Jamie, I actually have to leave now, if you need anymore help, you can request for another tutor and they'll be able to help!", "session_id": 15129, "sequence_id": 9, "annotations": [{"pii_type": "PERSON", "surrogate": "Jamie", "start": 3, "end": 8}]}
{"role": "student", "content": "hey how are you", "session_id": 17439, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "hi how can i help", "session_id": 17439, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "could you check my answers for me", "session_id": 17439, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 17439, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "can you tell me how you came up with the answer you selected?", "session_id": 17439, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "you inverse each point", "session_id": 17439, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "correct", "session_id": 17439, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "so answer is correct", "session_id": 17439, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "correct", "session_id": 17439, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "can you tell me the inverse function of y = x +2", "session_id": 17439, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "y=x-2", "session_id": 17439, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "correct so do all the value pairs satisfy the inverse equation on the selected option?", "session_id": 17439, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "for example is -3 = -1 + 2? and so on?", "session_id": 17439, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "sorry I meant is -3 =-1 -2?", "session_id": 17439, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "and so on for the selected option?", "session_id": 17439, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "I'm confused isn't it C", "session_id": 17439, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "it is. what I am trying to get at is \"do all the value pairs in the selected option satisfy the inverse function in your opinion?\"", "session_id": 17439, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "the answer is yes but I want you to be confident in deriving the answer", "session_id": 17439, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "oh okay", "session_id": 17439, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "ok whats the next one", "session_id": 17439, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "answer is correct", "session_id": 17439, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "okay thanks for all the help", "session_id": 17439, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "Hi Ben!", "session_id": 17680, "sequence_id": 0, "annotations": [{"pii_type": "PERSON", "surrogate": "Ben", "start": 3, "end": 6}]}
{"role": "volunteer", "content": "Hi Emily", "session_id": 17680, "sequence_id": 1, "annotations": [{"pii_type": "PERSON", "surrogate": "Emily", "start": 3, "end": 8}]}
{"role": "student", "content": "I'm stuck on this a past coach was making it a bit confusing", "session_id": 17680, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "I was wondeing if you could help me with the formula like do the first and then I'll do b and C", "session_id": 17680, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "I just don't know what youre supposed to solve first since the formula can be interpreted in many ways of what to start off with first", "session_id": 17680, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "I'm reading...", "session_id": 17680, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "For (a), we calculate the compound interest after one year. The deposit is made at the end of the year. So the value is simply $1200.", "session_id": 17680, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "X times 1 i know that part", "session_id": 17680, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "I'm looking at the formula on your page...", "session_id": 17680, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "For (b), you use the formula with t=2.", "session_id": 17680, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "ok", "session_id": 17680, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "can you do it just step by step", "session_id": 17680, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "like what u solve first then second using \"Aa\" and ill understand it easily that way", "session_id": 17680, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "OK.", "session_id": 17680, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "Does it help?", "session_id": 17680, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "not really", "session_id": 17680, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "i mean like step by step", "session_id": 17680, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "Let's look at the formula and apply it to part (a). The payment is PMT = $1200. OK so far?", "session_id": 17680, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "ok", "session_id": 17680, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "The interest rate is r = 0.09", "session_id": 17680, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "yeah I just need to know what to add what", "session_id": 17680, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "and subtract what by what", "session_id": 17680, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "i know all that toher stuff bc i have it written out aleady", "session_id": 17680, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "Let's do 1+r.", "session_id": 17680, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "OK so far?", "session_id": 17680, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "We need to calculate what's inside the brackets [ ] first.", "session_id": 17680, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "ok so u do 1+0.09 now what's the next step?", "session_id": 17680, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "Then you raise 1.09 to the power of t=1. So 1.09^1 = 1.09", "session_id": 17680, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "then subtract?", "session_id": 17680, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "Yes. Then subtract - 1.", "session_id": 17680, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "now what", "session_id": 17680, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "1.09 - 1 = 0.09", "session_id": 17680, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "mhm", "session_id": 17680, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "then what", "session_id": 17680, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "Then we divide 0.09 on top by 0.09 at the bottom: 0.09/0.09 = 1", "session_id": 17680, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "now what", "session_id": 17680, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "Finally, 1200*1 = $1200", "session_id": 17680, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "thats it?", "session_id": 17680, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "That's the answer for (a).", "session_id": 17680, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "kk now b", "session_id": 17680, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "1.09^2?", "session_id": 17680, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "Yes. (b) is like (a), but t = 2. So you'll have 1.09^2 instead of 1.09^1", "session_id": 17680, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "k", "session_id": 17680, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "0.1881 divided by 0.1881?", "session_id": 17680, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "r = 0.09. So you'll have 0.1881/0.09", "session_id": 17680, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "ok", "session_id": 17680, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "(b) $2508.00 is correct.", "session_id": 17680, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "(c) is correct.", "session_id": 17680, "sequence_id": 47, "annotations": []}
{"role": "student", "content": "Ill past the next problem in a second, going to use the bathroom keep this stuff on the David here still tho", "session_id": 17680, "sequence_id": 48, "annotations": [{"pii_type": "PERSON", "surrogate": "David", "start": 88, "end": 93}]}
{"role": "volunteer", "content": "OK", "session_id": 17680, "sequence_id": 49, "annotations": []}
{"role": "student", "content": "bck", "session_id": 17680, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "I'm still here. We can do one more problem.", "session_id": 17680, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "ok", "session_id": 17680, "sequence_id": 52, "annotations": []}
{"role": "student", "content": "k", "session_id": 17680, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "(a) is correct, although you may want to include the cents: $850.00", "session_id": 17680, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "Yes. $1734.00 for (b).", "session_id": 17680, "sequence_id": 55, "annotations": []}
{"role": "student", "content": "2653.36", "session_id": 17680, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "Yup.", "session_id": 17680, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "Well done.", "session_id": 17680, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "That completes the solution, and I'm out of time. Any quick question before I go?", "session_id": 17680, "sequence_id": 59, "annotations": []}
{"role": "student", "content": "Nope, thanks!", "session_id": 17680, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "You're welcome. Have a good evening.", "session_id": 17680, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "Hi Liam! How are you today?", "session_id": 127, "sequence_id": 0, "annotations": [{"pii_type": "PERSON", "surrogate": "Liam", "start": 3, "end": 7}]}
{"role": "student", "content": "its posted ", "session_id": 127, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "Ok, lets start with number 1: They are asking for h(8). The function h(x) is 2^x. What do you think we need to do?", "session_id": 127, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "im not surew", "session_id": 127, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "is 256", "session_id": 127, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "Yes! You got it!", "session_id": 127, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "i dont understand how to do it ", "session_id": 127, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "Lets go to nine now! They are asking for g(-8), so we have to plug in -8 into the g function.", "session_id": 127, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "Ok. Let's go through it together.", "session_id": 127, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "Since they are asking for h(8) we need to plug the number into the h function.", "session_id": 127, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "okk", "session_id": 127, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "Lets try nine, they are asking for g(-8), so we have to plug in -8 to the g function.", "session_id": 127, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "What is the g function?", "session_id": 127, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "g(x)=x squared -1", "session_id": 127, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "Correct, so if you plug in -8 into every x you see, what do you get?", "session_id": 127, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "soo 8x8", "session_id": 127, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "Yes so 64-1 which is 63.", "session_id": 127, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "Let's go to 8, they are asking for f(6), which is?", "session_id": 127, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "okk", "session_id": 127, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "What would f(6) be?", "session_id": 127, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "6x3 squared", "session_id": 127, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "Not quite, if you plug in 6 into x it would be 3(6) + 1", "session_id": 127, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "soo 3x6", "session_id": 127, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "Plus 1.", "session_id": 127, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "What would that be?", "session_id": 127, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "19", "session_id": 127, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "Yep!", "session_id": 127, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "How about you try 1-5 on your own. If you need any help just lmk!", "session_id": 127, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "is number 3 five", "session_id": 127, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "Not quite, so if you plug 0 into the h function what do you get?", "session_id": 127, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "1", "session_id": 127, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "4 is 5", "session_id": 127, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "Can you show your steps to come up with the answer.", "session_id": 127, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "i actually need help", "session_id": 127, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "Alright sure! No worries, lets go to 2.", "session_id": 127, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "2 down is 8.34", "session_id": 127, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "Just plug in 3.67 to the f function.", "session_id": 127, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "3(3.67) is?", "session_id": 127, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "i got 11.01", "session_id": 127, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "+1?", "session_id": 127, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "so 12.01", "session_id": 127, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "Yep!", "session_id": 127, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "6 is 15", "session_id": 127, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "Yep you got it!", "session_id": 127, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "Let's try question seven.", "session_id": 127, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "What is 3^2 - 1", "session_id": 127, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "7 is 8", "session_id": 127, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "Yep! You got this!", "session_id": 127, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "Let's do 3!", "session_id": 127, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "is 3 two", "session_id": 127, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "Not quite 2^0 = 1. Then you plug 1 into the f function.", "session_id": 127, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "Thus 3(1) + 1", "session_id": 127, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "4", "session_id": 127, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "Yep!", "session_id": 127, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "Lets do 4. What is four?", "session_id": 127, "sequence_id": 54, "annotations": []}
{"role": "student", "content": "is 5", "session_id": 127, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "Not quite 3(2) + 1", "session_id": 127, "sequence_id": 56, "annotations": []}
{"role": "student", "content": "7", "session_id": 127, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "Yep!", "session_id": 127, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "Last one! What is 2^9)?", "session_id": 127, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "Aka 2^9", "session_id": 127, "sequence_id": 60, "annotations": []}
{"role": "student", "content": "512", "session_id": 127, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "Yep!", "session_id": 127, "sequence_id": 62, "annotations": []}
{"role": "student", "content": "do you see the new one", "session_id": 127, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "Yes. These are all examples though.", "session_id": 127, "sequence_id": 64, "annotations": []}
{"role": "student", "content": "OK", "session_id": 127, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "So the function for 1. Would you like to give it a try first?", "session_id": 127, "sequence_id": 66, "annotations": []}
{"role": "student", "content": "can you help me with the page I just added?", "session_id": 127, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "Yes I can. It is really similar to the first page with examples. Would you like to try yourself first or would you like to go over them together.", "session_id": 127, "sequence_id": 68, "annotations": []}
{"role": "student", "content": "im not sure ", "session_id": 127, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "Alright no worries.", "session_id": 127, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "Let's start with this.", "session_id": 127, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "What is the constant in question 1.", "session_id": 127, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "What cost doesn't change.", "session_id": 127, "sequence_id": 73, "annotations": []}
{"role": "student", "content": "maybe 25", "session_id": 127, "sequence_id": 74, "annotations": []}
{"role": "volunteer", "content": "Yep and what changes?", "session_id": 127, "sequence_id": 75, "annotations": []}
{"role": "student", "content": "the 10", "session_id": 127, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "Yep! So we need to multiply the 10 by an x.", "session_id": 127, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "Then add the 25 as it is a one time fee.", "session_id": 127, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "So what would the function be?", "session_id": 127, "sequence_id": 79, "annotations": []}
{"role": "student", "content": "im not sure ", "session_id": 127, "sequence_id": 80, "annotations": []}
{"role": "student", "content": "is it 85", "session_id": 127, "sequence_id": 81, "annotations": []}
{"role": "volunteer", "content": "I will help you with the first one.", "session_id": 127, "sequence_id": 82, "annotations": []}
{"role": "volunteer", "content": "So it would be f(x) = 25 + 10x", "session_id": 127, "sequence_id": 83, "annotations": []}
{"role": "volunteer", "content": "So if you plug in 6 for x what would it be?", "session_id": 127, "sequence_id": 84, "annotations": []}
{"role": "student", "content": "60", "session_id": 127, "sequence_id": 85, "annotations": []}
{"role": "volunteer", "content": "+25?", "session_id": 127, "sequence_id": 86, "annotations": []}
{"role": "student", "content": "85", "session_id": 127, "sequence_id": 87, "annotations": []}
{"role": "volunteer", "content": "Yep you got it!", "session_id": 127, "sequence_id": 88, "annotations": []}
{"role": "student", "content": "soo what is the choice ", "session_id": 127, "sequence_id": 89, "annotations": []}
{"role": "volunteer", "content": "I wrote it down. Let's go to two. Based on what we discussesd, what is the function?", "session_id": 127, "sequence_id": 90, "annotations": []}
{"role": "student", "content": "okk", "session_id": 127, "sequence_id": 91, "annotations": []}
{"role": "student", "content": "yess", "session_id": 127, "sequence_id": 92, "annotations": []}
{"role": "volunteer", "content": "So basically, if the price changes, you need to tack on an x.", "session_id": 127, "sequence_id": 93, "annotations": []}
{"role": "student", "content": "soo 12x8", "session_id": 127, "sequence_id": 94, "annotations": []}
{"role": "volunteer", "content": "The function would be f(x) = 12x, yes.", "session_id": 127, "sequence_id": 95, "annotations": []}
{"role": "volunteer", "content": "Then for B, you plug in 8 into f(x)", "session_id": 127, "sequence_id": 96, "annotations": []}
{"role": "student", "content": "96", "session_id": 127, "sequence_id": 97, "annotations": []}
{"role": "volunteer", "content": "Yep!", "session_id": 127, "sequence_id": 98, "annotations": []}
{"role": "volunteer", "content": "Lets go to 3.", "session_id": 127, "sequence_id": 99, "annotations": []}
{"role": "volunteer", "content": "It already has 40 and it is getting added 5 per minute.", "session_id": 127, "sequence_id": 100, "annotations": []}
{"role": "volunteer", "content": "So which number would have the x.", "session_id": 127, "sequence_id": 101, "annotations": []}
{"role": "student", "content": "Wait, can you sign it on the whiteboard please", "session_id": 127, "sequence_id": 102, "annotations": []}
{"role": "student", "content": "okk", "session_id": 127, "sequence_id": 103, "annotations": []}
{"role": "student", "content": "40x5", "session_id": 127, "sequence_id": 104, "annotations": []}
{"role": "volunteer", "content": "Almost, it would be 40 + 5x.", "session_id": 127, "sequence_id": 105, "annotations": []}
{"role": "volunteer", "content": "It is starting with 40 and that does not change.", "session_id": 127, "sequence_id": 106, "annotations": []}
{"role": "volunteer", "content": "But the amount being added changes per minute.", "session_id": 127, "sequence_id": 107, "annotations": []}
{"role": "volunteer", "content": "That is why you need an x.", "session_id": 127, "sequence_id": 108, "annotations": []}
{"role": "student", "content": "200", "session_id": 127, "sequence_id": 109, "annotations": []}
{"role": "volunteer", "content": "Not quite, what is 5(10) + 40", "session_id": 127, "sequence_id": 110, "annotations": []}
{"role": "student", "content": "90", "session_id": 127, "sequence_id": 111, "annotations": []}
{"role": "volunteer", "content": "Yep!", "session_id": 127, "sequence_id": 112, "annotations": []}
{"role": "volunteer", "content": "Do you want to try 4 and 5 by yourself?", "session_id": 127, "sequence_id": 113, "annotations": []}
{"role": "student", "content": " for 4 9x7 \n for 5 12x3", "session_id": 127, "sequence_id": 114, "annotations": []}
{"role": "volunteer", "content": "You got 4 but not 5.", "session_id": 127, "sequence_id": 115, "annotations": []}
{"role": "student", "content": "I need help writing the functions and questions for these problems", "session_id": 127, "sequence_id": 116, "annotations": []}
{"role": "volunteer", "content": "5 is like 3.", "session_id": 127, "sequence_id": 117, "annotations": []}
{"role": "volunteer", "content": "What did we do for 3?", "session_id": 127, "sequence_id": 118, "annotations": []}
{"role": "volunteer", "content": "12 is the constant.", "session_id": 127, "sequence_id": 119, "annotations": []}
{"role": "volunteer", "content": "Do it does not have an x.", "session_id": 127, "sequence_id": 120, "annotations": []}
{"role": "volunteer", "content": "And you add 3x to that.", "session_id": 127, "sequence_id": 121, "annotations": []}
{"role": "student", "content": "soo 3x10", "session_id": 127, "sequence_id": 122, "annotations": []}
{"role": "volunteer", "content": "Not quite, it would be 3x + 12.", "session_id": 127, "sequence_id": 123, "annotations": []}
{"role": "volunteer", "content": "Then you plug in 8 into x.", "session_id": 127, "sequence_id": 124, "annotations": []}
{"role": "student", "content": "36", "session_id": 127, "sequence_id": 125, "annotations": []}
{"role": "volunteer", "content": "Yep! I got to go now but just remember what we have been doing! It's the same steps, just different numbers!", "session_id": 127, "sequence_id": 126, "annotations": []}
{"role": "volunteer", "content": "Hi Marcus, how can I help you today?", "session_id": 3748, "sequence_id": 0, "annotations": [{"pii_type": "PERSON", "surrogate": "Marcus", "start": 3, "end": 9}]}
{"role": "volunteer", "content": "Sure, let's break this down so we can understand it", "session_id": 3748, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "well let me right it another way", "session_id": 3748, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "write*", "session_id": 3748, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "cool, that's a great start! Do you need some help to start, or did you want me to check your work? either is perfectly ok", "session_id": 3748, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "i need help starting it", "session_id": 3748, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "ok, sounds good. So for me, big numbers can often be intimidating at first, so I try to break the big number down by seeing how 6 can fit into it. For example, how many 6's can fit into 29, without going over?", "session_id": 3748, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "24", "session_id": 3748, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "in other words, what's the closest number we can multiply 6 by to get to 29", "session_id": 3748, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "perfect!", "session_id": 3748, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "so what's 24 divided by 6", "session_id": 3748, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "Hi Marcus, I see there hasn\u2019t been a reply, so I\u2019m going to close the chat now. I hope you found your answer, but if you need help, feel free to come back and ask for help!", "session_id": 3748, "sequence_id": 11, "annotations": [{"pii_type": "PERSON", "surrogate": "Marcus", "start": 3, "end": 9}]}
{"role": "student", "content": "hi", "session_id": 8239, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "Hey, I'm Sarah! I'll be helping you with your math today.", "session_id": 8239, "sequence_id": 1, "annotations": [{"pii_type": "PERSON", "surrogate": "Sarah", "start": 9, "end": 14}]}
{"role": "student", "content": "hello I'm David", "session_id": 8239, "sequence_id": 2, "annotations": [{"pii_type": "PERSON", "surrogate": "David", "start": 10, "end": 15}]}
{"role": "student", "content": "can u screenshare by chancd", "session_id": 8239, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "Hey David? What do you need help with?", "session_id": 8239, "sequence_id": 4, "annotations": [{"pii_type": "PERSON", "surrogate": "David", "start": 4, "end": 9}]}
{"role": "student", "content": "I want help with algebra and geometry", "session_id": 8239, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "Okay, perfect! Do you have any questions you want to go over today?", "session_id": 8239, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "no", "session_id": 8239, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "I see. Do you have any specific topic that you want to go over?", "session_id": 8239, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "preferably like shapes that inside of other shapes and finding out x", "session_id": 8239, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "Oh, I see.", "session_id": 8239, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "Do you have any class notes you can insert?", "session_id": 8239, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "Like those types of questions, or something different?", "session_id": 8239, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "yea", "session_id": 8239, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "I see. Can you solve this for me, please?", "session_id": 8239, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "like the area of it?", "session_id": 8239, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "if it the area the answer 45", "session_id": 8239, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "Yup!", "session_id": 8239, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "Are your questions usually harder or easier?", "session_id": 8239, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "I can ask ai to generate some questions if u want", "session_id": 8239, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "?", "session_id": 8239, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "Sure, go ahead!", "session_id": 8239, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "and yeah my questions are usually way harder", "session_id": 8239, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "ok I posted oen", "session_id": 8239, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "Okay, let's see.", "session_id": 8239, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "Is this easy or hard for you?", "session_id": 8239, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "well visualizing it is pretty hard", "session_id": 8239, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "I see.", "session_id": 8239, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "but once I can it would be kinda easy", "session_id": 8239, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "This is the general shape of the figure.", "session_id": 8239, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "oh ok", "session_id": 8239, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "Can you walk me through how you get the answer to this problem?", "session_id": 8239, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "ok", "session_id": 8239, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "so", "session_id": 8239, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "Sarah this question confusing", "session_id": 8239, "sequence_id": 34, "annotations": [{"pii_type": "PERSON", "surrogate": "Sarah", "start": 0, "end": 5}]}
{"role": "volunteer", "content": "Would you like to walk through it together?", "session_id": 8239, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "ye", "session_id": 8239, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "So, how do you get the circumference of a circle?", "session_id": 8239, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "dxpi", "session_id": 8239, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "or 2rxpi", "session_id": 8239, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "So what would it be for the semi-circle?", "session_id": 8239, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "2rxpi/2", "session_id": 8239, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "Yup!", "session_id": 8239, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "Now, let's express the perimeter in terms of the square side.", "session_id": 8239, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "The total perimeter is the sum or 3 sides AND the semicircle's arc. Can you make an equation for that please, letting the square side be s?", "session_id": 8239, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "Tell me if you get confused.", "session_id": 8239, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "I'm thinkin", "session_id": 8239, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "Okay, tell me when you've got it!", "session_id": 8239, "sequence_id": 47, "annotations": []}
{"role": "student", "content": "I give up", "session_id": 8239, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "can we skip to a different question", "session_id": 8239, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "Sure!", "session_id": 8239, "sequence_id": 50, "annotations": []}
{"role": "student", "content": "uhm so sorry", "session_id": 8239, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "I gtg", "session_id": 8239, "sequence_id": 52, "annotations": []}
{"role": "student", "content": "I have to eat dinner so sorry", "session_id": 8239, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "That's fine!", "session_id": 8239, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "Bye!", "session_id": 8239, "sequence_id": 55, "annotations": []}
{"role": "student", "content": "thank u", "session_id": 8239, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "Hello!", "session_id": 11541, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "hi", "session_id": 11541, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "can u help me with this equation", "session_id": 11541, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "Graph a line with a slope of \n \n\\[-\\dfrac{3}2\\] that contains the point \n\\[(4,-3)\\].", "session_id": 11541, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "thanks for posting! that makes more sense!", "session_id": 11541, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "your line has a positive slopen you fix it?", "session_id": 11541, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "your welcome", "session_id": 11541, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "can u explain more", "session_id": 11541, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "nevermind", "session_id": 11541, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "I understand what your saying", "session_id": 11541, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "yes I can", "session_id": 11541, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "you can fix on the white board", "session_id": 11541, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "no", "session_id": 11541, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "because its a picture", "session_id": 11541, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "and not apart of the white board", "session_id": 11541, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "you can use the drawing tool", "session_id": 11541, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "I'm confued", "session_id": 11541, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "the green point was correct", "session_id": 11541, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "from the green point you want to go down 3 then right 2 to make the next dot (or up 3, left 2)", "session_id": 11541, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "okay", "session_id": 11541, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "yes, so (2,0) is a correct point on your line", "session_id": 11541, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "now just connect the 2 points", "session_id": 11541, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "ok", "session_id": 11541, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "Is this delta math?", "session_id": 11541, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "Westwood High", "session_id": 11541, "sequence_id": 24, "annotations": [{"pii_type": "SCHOOL", "surrogate": "Westwood High", "start": 0, "end": 13}]}
{"role": "volunteer", "content": "oh. well, that new graph you put up is correct", "session_id": 11541, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "ok", "session_id": 11541, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "see how negative slope makes the line go \"down hill\" as you read from left to right?", "session_id": 11541, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "that's good to remember", "session_id": 11541, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "ok", "session_id": 11541, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "there's a new one on the board", "session_id": 11541, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "ok, so first mark the point (3,0)", "session_id": 11541, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "then use the slope to get to the next point (this time the slope is positive so the line will go \"up hill\"", "session_id": 11541, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "is your line going up?", "session_id": 11541, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "yes", "session_id": 11541, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "read it from left to right", "session_id": 11541, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "I wrote it", "session_id": 11541, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "yes, I think you got the idea", "session_id": 11541, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "I just got it right in Bright Minds Academy", "session_id": 11541, "sequence_id": 38, "annotations": [{"pii_type": "SCHOOL", "surrogate": "Bright Minds Academy", "start": 23, "end": 43}]}
{"role": "student", "content": "thanks that's all I needed", "session_id": 11541, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 11541, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "hello", "session_id": 12563, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "Hi", "session_id": 12563, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "how are you?", "session_id": 12563, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "I'm fine how are you?", "session_id": 12563, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "I'm alright, I just needed help fully understanding the properties of polynomials and multiplicity of zeros and graphing functions", "session_id": 12563, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "i can show you my notes i just need help understanding them more", "session_id": 12563, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 12563, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "oh one second i need to make it a jpg", "session_id": 12563, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "yeah take your time", "session_id": 12563, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "these are my notes given by my teacher but I do not fully understand them", "session_id": 12563, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "I also have a homework sheet that I can use as practice", "session_id": 12563, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "Alright let's go through these first, then we can look at some examples, are there any specific parts of the notes  that you do not understand?", "session_id": 12563, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "Its more of the second part than the first but i do need a little bit more help understanding end behaviors", "session_id": 12563, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "alright so end behaviour is nothing but what the polynomial's graph does as x approaches a very large or very small value (infinity or -infinity)", "session_id": 12563, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "are you confused by what lim means?", "session_id": 12563, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "no I was confused about the unit things", "session_id": 12563, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "like if the highest degree polynomial is positive or negative it would affect the end behavior", "session_id": 12563, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "my teacher taught us that but I didn't fully understand what he meant", "session_id": 12563, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "ok so i'll explain the cases once, also note, the degree of a polynomial is always positive, you mean the leading coefficient", "session_id": 12563, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "yes", "session_id": 12563, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "so do you know what the leading coefficient is? Just the coefficient of the term with the highest degree", "session_id": 12563, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "yes i understand that part", "session_id": 12563, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "ok so now there are 2 things that determine the end behaviour:-\n1. Degree of polynomial \n2. Sign of leading coefficient", "session_id": 12563, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "the combination of these 2 give us 4 possible cases of the end behaviour of a polynomial", "session_id": 12563, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "do you follow?", "session_id": 12563, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "yes i follow", "session_id": 12563, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "I will, from now on, denote leading coefficent by 'a' and degree by 'd', just for simplicity", "session_id": 12563, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "ok", "session_id": 12563, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "case 1: a-positive, d-even\nthe polynomial will approach from a very large value and exit to a very large value (infinity)", "session_id": 12563, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "it might look something like this", "session_id": 12563, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "ok", "session_id": 12563, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "case 2: a-negative, d-even\nthe polynomial will approach from a very small value and exit to a very small value (negative infinity)", "session_id": 12563, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "something like this", "session_id": 12563, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "ok so positive and even goes to positive infinity and negative and even just does the opposite going to negative infinity?", "session_id": 12563, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 12563, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "now if the degree d-odd, then the function will approach from one side but leave from the other", "session_id": 12563, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "so positive but odd makes it go positive to negative infinity?", "session_id": 12563, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "something like this, and the leading coefficient decides how this would look", "session_id": 12563, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "it could be postive to negative infinity or the opposite", "session_id": 12563, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "negative to positive infinity", "session_id": 12563, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "ok", "session_id": 12563, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "for a>0, it would be positive to negative and for a<0, negative to positive", "session_id": 12563, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "Ok", "session_id": 12563, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "im sorry", "session_id": 12563, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "i meant opposite of that", "session_id": 12563, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "i'll re write", "session_id": 12563, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "ok", "session_id": 12563, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "a>0: negative to positive\na<0: positive to negative", "session_id": 12563, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "sorry for that, now can you tell me what would be the sign of a in the graph i have drawn?", "session_id": 12563, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "a<0?", "session_id": 12563, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "yup", "session_id": 12563, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "and if i draw this?", "session_id": 12563, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "a>0", "session_id": 12563, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "perfect, so a great way to remember this is that for even powers, the polynomial exits and enters from the same side and for odd degree (powers) polynomial enters and exits from opp sides", "session_id": 12563, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "any questions in end behaviour now?", "session_id": 12563, "sequence_id": 54, "annotations": []}
{"role": "student", "content": "No, I think I understand", "session_id": 12563, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "alright now the second part right? You mean the graphs", "session_id": 12563, "sequence_id": 56, "annotations": []}
{"role": "student", "content": "yes", "session_id": 12563, "sequence_id": 57, "annotations": []}
{"role": "student", "content": "I understand the x intercepts but I don't understand the mult. cross/touch, or the y intercept part", "session_id": 12563, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "ok let's go through that then first", "session_id": 12563, "sequence_id": 59, "annotations": []}
{"role": "student", "content": "and I now understand end behaviors", "session_id": 12563, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "gr8", "session_id": 12563, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "so y-intercept is nothing but the value of the polynomial when x=0", "session_id": 12563, "sequence_id": 62, "annotations": []}
{"role": "student", "content": "ok", "session_id": 12563, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "or the point where the function intersects the y-axis(which is logical, because the coordinate of that point would look something like (0,y) which indicates x coordinate is 0)", "session_id": 12563, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "any doubts here?", "session_id": 12563, "sequence_id": 65, "annotations": []}
{"role": "student", "content": "yes but for example on number 11 how is the y intercept (0,-24) how do we get -24?", "session_id": 12563, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "just substitute x=0 in the equation given to you", "session_id": 12563, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "whenever you want to find y-intercept, just sub x=0", "session_id": 12563, "sequence_id": 68, "annotations": []}
{"role": "student", "content": "ok", "session_id": 12563, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "so no doubts here?", "session_id": 12563, "sequence_id": 70, "annotations": []}
{"role": "student", "content": "not when it comes to the y intercept", "session_id": 12563, "sequence_id": 71, "annotations": []}
{"role": "student", "content": "I get that part now", "session_id": 12563, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "yeah, moving on to multiplicity", "session_id": 12563, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "so multiplicity of a zero is the power of its factor in a polynomial", "session_id": 12563, "sequence_id": 74, "annotations": []}
{"role": "volunteer", "content": "so say I have a zero x=1", "session_id": 12563, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "the factor of that 0 would be (x-1)", "session_id": 12563, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "so the multiplicity is the power of this factor in the expression of the polynomial", "session_id": 12563, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "so i could have a polynomial which is (x-2)(x-1)^3", "session_id": 12563, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "here the multiplicity of the zero 1 would be 3", "session_id": 12563, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "and the multiplicity of the zero 2, would be 1", "session_id": 12563, "sequence_id": 80, "annotations": []}
{"role": "volunteer", "content": "So if I gave you a polynomial (x-4)^2(x-6)^4(x+1)^7, what is the multiplicity of the zeros x=-1 and x=6?", "session_id": 12563, "sequence_id": 81, "annotations": []}
{"role": "student", "content": "i think i get it", "session_id": 12563, "sequence_id": 82, "annotations": []}
{"role": "volunteer", "content": "try out the example i gave you", "session_id": 12563, "sequence_id": 83, "annotations": []}
{"role": "student", "content": "the multiplicity of -1 is 7 and the multiplicity of 6 is 4?", "session_id": 12563, "sequence_id": 84, "annotations": []}
{"role": "volunteer", "content": "perfect", "session_id": 12563, "sequence_id": 85, "annotations": []}
{"role": "volunteer", "content": "now that you've got this, you'll nail the cross and touch part, it's super easy", "session_id": 12563, "sequence_id": 86, "annotations": []}
{"role": "student", "content": "i think i get it now", "session_id": 12563, "sequence_id": 87, "annotations": []}
{"role": "volunteer", "content": "it just says that if a multiplicity of a zero is even, then it wont cross the x-axis, it'll just touch and bounce off it", "session_id": 12563, "sequence_id": 88, "annotations": []}
{"role": "volunteer", "content": "if it's odd, it will cross the x-axis", "session_id": 12563, "sequence_id": 89, "annotations": []}
{"role": "student", "content": "I read the little summary on the first page but i didnt understand before", "session_id": 12563, "sequence_id": 90, "annotations": []}
{"role": "student", "content": "now i do", "session_id": 12563, "sequence_id": 91, "annotations": []}
{"role": "volunteer", "content": "excellent", "session_id": 12563, "sequence_id": 92, "annotations": []}
{"role": "volunteer", "content": "in my example, can you tell me which zeros will cross and which zeros will touch?", "session_id": 12563, "sequence_id": 93, "annotations": []}
{"role": "student", "content": "in your example, 2 = t 4 = t 7 = c", "session_id": 12563, "sequence_id": 94, "annotations": []}
{"role": "volunteer", "content": "what are the roots corresponding to those multiplicities?", "session_id": 12563, "sequence_id": 95, "annotations": []}
{"role": "volunteer", "content": "Remember i asked the zeros not the multiplicitiesd", "session_id": 12563, "sequence_id": 96, "annotations": []}
{"role": "student", "content": "4 = t 6 = t -1 = c?", "session_id": 12563, "sequence_id": 97, "annotations": []}
{"role": "volunteer", "content": "gr8 job", "session_id": 12563, "sequence_id": 98, "annotations": []}
{"role": "volunteer", "content": "now an extra, what is the end behaviour here?", "session_id": 12563, "sequence_id": 99, "annotations": []}
{"role": "student", "content": "Im not sure", "session_id": 12563, "sequence_id": 100, "annotations": []}
{"role": "volunteer", "content": "remember the cases we did, just find the leading coefficient and the degree", "session_id": 12563, "sequence_id": 101, "annotations": []}
{"role": "volunteer", "content": "what's the degree of the polynomial", "session_id": 12563, "sequence_id": 102, "annotations": []}
{"role": "student", "content": "7?", "session_id": 12563, "sequence_id": 103, "annotations": []}
{"role": "volunteer", "content": "no, the factors are multiplied remember", "session_id": 12563, "sequence_id": 104, "annotations": []}
{"role": "student", "content": "13?", "session_id": 12563, "sequence_id": 105, "annotations": []}
{"role": "volunteer", "content": "yeah!", "session_id": 12563, "sequence_id": 106, "annotations": []}
{"role": "volunteer", "content": "so to find the degree in such cases, take the degree of the factor, then multiply it with its power. Do this for all the factors and then add this up, that will give you the degree", "session_id": 12563, "sequence_id": 107, "annotations": []}
{"role": "volunteer", "content": "now in this case, what's the leading coefficient?", "session_id": 12563, "sequence_id": 108, "annotations": []}
{"role": "volunteer", "content": "if you're confused about the degree, leave it for now, we'll come back to it while discussing the example problems", "session_id": 12563, "sequence_id": 109, "annotations": []}
{"role": "student", "content": "ok", "session_id": 12563, "sequence_id": 110, "annotations": []}
{"role": "volunteer", "content": "what would be the leading coefficient in this case?", "session_id": 12563, "sequence_id": 111, "annotations": []}
{"role": "student", "content": "x+1?", "session_id": 12563, "sequence_id": 112, "annotations": []}
{"role": "volunteer", "content": "the leading example.comt the factor, remember, the leading coefficient is the coefficient of the term with the highest power", "session_id": 12563, "sequence_id": 113, "annotations": [{"pii_type": "URL", "surrogate": "example.com", "start": 12, "end": 23}]}
{"role": "volunteer", "content": "alright let me give you a method to think, that way i think you'll understand both the degree and the leading coefficient", "session_id": 12563, "sequence_id": 114, "annotations": []}
{"role": "volunteer", "content": "so say i were to multiply this entire polynomial out...obviously a tedious process and i'm not going to even try, but i can find the term with the highest power", "session_id": 12563, "sequence_id": 115, "annotations": []}
{"role": "volunteer", "content": "in the factor (x+1)^7, if i were to expand this, we are sure that the highest power of x that i would get would be x^7 right?", "session_id": 12563, "sequence_id": 116, "annotations": []}
{"role": "volunteer", "content": "and i know it's coefficient must be 1 (if you arent aware of it, don't worry, take it as a fact)", "session_id": 12563, "sequence_id": 117, "annotations": []}
{"role": "student", "content": "i was overcomplicating it", "session_id": 12563, "sequence_id": 118, "annotations": []}
{"role": "volunteer", "content": "do you understand till here, just hear me out for a second, it might seem a bit confusing at first but it'll make sense at the end", "session_id": 12563, "sequence_id": 119, "annotations": []}
{"role": "volunteer", "content": "do you understand the answer?", "session_id": 12563, "sequence_id": 120, "annotations": []}
{"role": "volunteer", "content": "or should I keep explaining", "session_id": 12563, "sequence_id": 121, "annotations": []}
{"role": "student", "content": "I understand", "session_id": 12563, "sequence_id": 122, "annotations": []}
{"role": "volunteer", "content": "alright so what's the degree and leading coefficient in my problem", "session_id": 12563, "sequence_id": 123, "annotations": []}
{"role": "student", "content": "the leading coefficient is 1 and the degree is 13?", "session_id": 12563, "sequence_id": 124, "annotations": []}
{"role": "volunteer", "content": "perfect", "session_id": 12563, "sequence_id": 125, "annotations": []}
{"role": "volunteer", "content": "so should we go over the example problems?", "session_id": 12563, "sequence_id": 126, "annotations": []}
{"role": "student", "content": "no, I think i understand.", "session_id": 12563, "sequence_id": 127, "annotations": []}
{"role": "student", "content": "Thank you so much for your help!!", "session_id": 12563, "sequence_id": 128, "annotations": []}
{"role": "volunteer", "content": "you're welcome", "session_id": 12563, "sequence_id": 129, "annotations": []}
{"role": "volunteer", "content": "i'll end the session now, bye", "session_id": 12563, "sequence_id": 130, "annotations": []}
{"role": "student", "content": "Hello! I'm new to the platform, so I wanna see how this works.", "session_id": 13077, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "Hi Leo! My name is Sarah. What can I help you with today? :)", "session_id": 13077, "sequence_id": 1, "annotations": [{"pii_type": "PERSON", "surrogate": "Leo", "start": 3, "end": 6}, {"pii_type": "PERSON", "surrogate": "Sarah", "start": 19, "end": 24}]}
{"role": "student", "content": "I just wan't to see how the site works for when I wan't to use it later", "session_id": 13077, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "Cool! I can go over a problem with you if that's okay! What topics are you studying now in your math class?", "session_id": 13077, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "Ok, I'll need a second to get it though.", "session_id": 13077, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "Sure! Take your time! :)", "session_id": 13077, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "sorry, I'm in class and I have to go.", "session_id": 13077, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "But thanks for offering the help", "session_id": 13077, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "Okay! You can come back anytime you need help! Have a great day, Leo! :)", "session_id": 13077, "sequence_id": 8, "annotations": [{"pii_type": "PERSON", "surrogate": "Leo", "start": 65, "end": 68}]}
{"role": "student", "content": "Thank you, you too!", "session_id": 13077, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "I will be ending the session shortly.", "session_id": 13077, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "Hi", "session_id": 13397, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "how can I help", "session_id": 13397, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "Can you help me solve some equations", "session_id": 13397, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "sure", "session_id": 13397, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "do understand how to do them", "session_id": 13397, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "No i dont", "session_id": 13397, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "Can you talk", "session_id": 13397, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "no i can't talk but this paper is very difficult to see", "session_id": 13397, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "itss blurry", "session_id": 13397, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "Ill try to do it by my own", "session_id": 13397, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "Hi", "session_id": 13500, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "hi", "session_id": 13500, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "How are you doing?", "session_id": 13500, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "good", "session_id": 13500, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "Good, how can I help you today?", "session_id": 13500, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "I need help with my math homework", "session_id": 13500, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "Great! Can you put the question in the chat?", "session_id": 13500, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "-4(x+3)-5x", "session_id": 13500, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "Ok what is the question asking?", "session_id": 13500, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "Solve for x?", "session_id": 13500, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "yes", "session_id": 13500, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "But you didn\u2019t put it equal to anything", "session_id": 13500, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "Is that the whole question", "session_id": 13500, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "Feel free to come back anytime, here to help you out", "session_id": 13500, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "Hey Jamie", "session_id": 14184, "sequence_id": 0, "annotations": [{"pii_type": "PERSON", "surrogate": "Jamie", "start": 4, "end": 9}]}
{"role": "student", "content": "hi", "session_id": 14184, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "What can I help you with?", "session_id": 14184, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "translating and stretch and compressing parent functions", "session_id": 14184, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "Okay perfect, is there any assignment you have to do or do you just want to learn the concept?", "session_id": 14184, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "i have a test on it tomorrow and idk how to do it lol", "session_id": 14184, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "Ohh okay, give me a minute to try to explain this in the best way", "session_id": 14184, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "alright", "session_id": 14184, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "Okay, so these are the rules for transformations", "session_id": 14184, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "Let's begin with the first two", "session_id": 14184, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "Do you know and understand how they work?", "session_id": 14184, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "yes. i just need help memorizing them", "session_id": 14184, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "Okay so I don't really have any tricks to memorize, but the ones on the board are the ones that you should memorize", "session_id": 14184, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "great", "session_id": 14184, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "Do you want to try some practice questions?", "session_id": 14184, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "sure", "session_id": 14184, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "Okay, so for the question I wrote, what would happen to the function f(x)?", "session_id": 14184, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "where the question u wrote", "session_id": 14184, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "Do you see it?", "session_id": 14184, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "Its below the table", "session_id": 14184, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "oh yes", "session_id": 14184, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "it would move up 4 units", "session_id": 14184, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "Exactly!", "session_id": 14184, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "What about for this one?", "session_id": 14184, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "it would move down 8", "session_id": 14184, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "Perfect!", "session_id": 14184, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "It looks like you already know the up and down translations", "session_id": 14184, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "Let's continue", "session_id": 14184, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "What would happen here?", "session_id": 14184, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "right 9", "session_id": 14184, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "Exactly!", "session_id": 14184, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "What about for this?", "session_id": 14184, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "left 2", "session_id": 14184, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "Exactly!", "session_id": 14184, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "And you know the reflections, right?", "session_id": 14184, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "i think", "session_id": 14184, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "Ok we'll come back to it", "session_id": 14184, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "What would happen here?", "session_id": 14184, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "vertical stretch", "session_id": 14184, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "Yes", "session_id": 14184, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "How about here?", "session_id": 14184, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "vertical compression", "session_id": 14184, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "Yup!", "session_id": 14184, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "Here?", "session_id": 14184, "sequence_id": 43, "annotations": []}
{"role": "student", "content": "okay can you take away the chart though so i cant cheat anymore lol", "session_id": 14184, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "Ohh okay lol", "session_id": 14184, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "horizontal stretch", "session_id": 14184, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "Yes!", "session_id": 14184, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "Here?", "session_id": 14184, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "no idea", "session_id": 14184, "sequence_id": 49, "annotations": []}
{"role": "student", "content": "lol", "session_id": 14184, "sequence_id": 50, "annotations": []}
{"role": "student", "content": "umm", "session_id": 14184, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "right 2", "session_id": 14184, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "Not quite. Remember that when somehting is being multiplied to the x inside the partenthis, something will be going on horizontally", "session_id": 14184, "sequence_id": 53, "annotations": []}
{"role": "student", "content": "so horizontal compression", "session_id": 14184, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "Yes!", "session_id": 14184, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "Here?", "session_id": 14184, "sequence_id": 56, "annotations": []}
{"role": "student", "content": "vertical stretch", "session_id": 14184, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "Yes", "session_id": 14184, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "Here?", "session_id": 14184, "sequence_id": 59, "annotations": []}
{"role": "student", "content": "reflect across x axis", "session_id": 14184, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "Perfect", "session_id": 14184, "sequence_id": 61, "annotations": []}
{"role": "student", "content": "vertical compression", "session_id": 14184, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "Perfect", "session_id": 14184, "sequence_id": 63, "annotations": []}
{"role": "student", "content": "how do i tell the difference between vertical compression and stretch", "session_id": 14184, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "For vertical stretch, it has to be greater than 1", "session_id": 14184, "sequence_id": 65, "annotations": []}
{"role": "student", "content": "ohh", "session_id": 14184, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "And for vertical compression, it has to be between 0 and 1", "session_id": 14184, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "And I'm talking about the absolute value of it", "session_id": 14184, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "Does that make sense?", "session_id": 14184, "sequence_id": 69, "annotations": []}
{"role": "student", "content": "i think", "session_id": 14184, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "What happens here?", "session_id": 14184, "sequence_id": 71, "annotations": []}
{"role": "student", "content": "reflect across x, left 9", "session_id": 14184, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "Not left 9", "session_id": 14184, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "Left 9 would look like f (x-9)", "session_id": 14184, "sequence_id": 74, "annotations": []}
{"role": "student", "content": "okay so then down nine?", "session_id": 14184, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "No, the 9 is being multiplied to the f(x)", "session_id": 14184, "sequence_id": 76, "annotations": []}
{"role": "student", "content": "so then stretched horizontally", "session_id": 14184, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "Not quite", "session_id": 14184, "sequence_id": 78, "annotations": []}
{"role": "student", "content": "compressed horizontally", "session_id": 14184, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "What would happen here?", "session_id": 14184, "sequence_id": 80, "annotations": []}
{"role": "student", "content": "horizontal compression", "session_id": 14184, "sequence_id": 81, "annotations": []}
{"role": "volunteer", "content": "No, if it were 2x) then it would be a horizontal compression", "session_id": 14184, "sequence_id": 82, "annotations": []}
{"role": "volunteer", "content": "when something is being multiplied to only the x then it is horizontal", "session_id": 14184, "sequence_id": 83, "annotations": []}
{"role": "volunteer", "content": "but the 3 is being multiples to the f(x)) and not just the x", "session_id": 14184, "sequence_id": 84, "annotations": []}
{"role": "volunteer", "content": "so it is vertical", "session_id": 14184, "sequence_id": 85, "annotations": []}
{"role": "student", "content": "vertical stretch", "session_id": 14184, "sequence_id": 86, "annotations": []}
{"role": "volunteer", "content": "Yes", "session_id": 14184, "sequence_id": 87, "annotations": []}
{"role": "volunteer", "content": "So then back to this question", "session_id": 14184, "sequence_id": 88, "annotations": []}
{"role": "student", "content": "vertical compression", "session_id": 14184, "sequence_id": 89, "annotations": []}
{"role": "volunteer", "content": "How?", "session_id": 14184, "sequence_id": 90, "annotations": []}
{"role": "student", "content": "no idea", "session_id": 14184, "sequence_id": 91, "annotations": []}
{"role": "volunteer", "content": "Don't take a guess when you answer, make sure you know why", "session_id": 14184, "sequence_id": 92, "annotations": []}
{"role": "volunteer", "content": "What happens here?", "session_id": 14184, "sequence_id": 93, "annotations": []}
{"role": "student", "content": "vertical stretch", "session_id": 14184, "sequence_id": 94, "annotations": []}
{"role": "volunteer", "content": "Okay now?", "session_id": 14184, "sequence_id": 95, "annotations": []}
{"role": "student", "content": "vertical compression", "session_id": 14184, "sequence_id": 96, "annotations": []}
{"role": "volunteer", "content": "Not quite.", "session_id": 14184, "sequence_id": 97, "annotations": []}
{"role": "student", "content": "how", "session_id": 14184, "sequence_id": 98, "annotations": []}
{"role": "student", "content": "im so lost", "session_id": 14184, "sequence_id": 99, "annotations": []}
{"role": "student", "content": "what is it then", "session_id": 14184, "sequence_id": 100, "annotations": []}
{"role": "volunteer", "content": "No worries at all. Let's look back at the table", "session_id": 14184, "sequence_id": 101, "annotations": []}
{"role": "volunteer", "content": "See how it says |a|", "session_id": 14184, "sequence_id": 102, "annotations": []}
{"role": "volunteer", "content": "That means absolute value", "session_id": 14184, "sequence_id": 103, "annotations": []}
{"role": "student", "content": "bruh", "session_id": 14184, "sequence_id": 104, "annotations": []}
{"role": "volunteer", "content": "Which means if we take the -3 and put it as \"a\", we get |-3|", "session_id": 14184, "sequence_id": 105, "annotations": []}
{"role": "volunteer", "content": "So what is |-3|", "session_id": 14184, "sequence_id": 106, "annotations": []}
{"role": "student", "content": "3", "session_id": 14184, "sequence_id": 107, "annotations": []}
{"role": "volunteer", "content": "Perfect!", "session_id": 14184, "sequence_id": 108, "annotations": []}
{"role": "student", "content": "so its a vertical stretch", "session_id": 14184, "sequence_id": 109, "annotations": []}
{"role": "volunteer", "content": "Exactly!", "session_id": 14184, "sequence_id": 110, "annotations": []}
{"role": "volunteer", "content": "AND since there is the negative, it is a reflection over the x-axis", "session_id": 14184, "sequence_id": 111, "annotations": []}
{"role": "volunteer", "content": "Does that make sense?", "session_id": 14184, "sequence_id": 112, "annotations": []}
{"role": "student", "content": "ya", "session_id": 14184, "sequence_id": 113, "annotations": []}
{"role": "volunteer", "content": "Okay", "session_id": 14184, "sequence_id": 114, "annotations": []}
{"role": "volunteer", "content": "What happens here?", "session_id": 14184, "sequence_id": 115, "annotations": []}
{"role": "student", "content": "vertical stretch", "session_id": 14184, "sequence_id": 116, "annotations": []}
{"role": "volunteer", "content": "And?", "session_id": 14184, "sequence_id": 117, "annotations": []}
{"role": "student", "content": "reflect across x", "session_id": 14184, "sequence_id": 118, "annotations": []}
{"role": "volunteer", "content": "Exactly", "session_id": 14184, "sequence_id": 119, "annotations": []}
{"role": "volunteer", "content": "What about here?", "session_id": 14184, "sequence_id": 120, "annotations": []}
{"role": "student", "content": "horizontal compression", "session_id": 14184, "sequence_id": 121, "annotations": []}
{"role": "volunteer", "content": "Perfect, and?", "session_id": 14184, "sequence_id": 122, "annotations": []}
{"role": "student", "content": "reflect across y", "session_id": 14184, "sequence_id": 123, "annotations": []}
{"role": "volunteer", "content": "Exactly", "session_id": 14184, "sequence_id": 124, "annotations": []}
{"role": "volunteer", "content": "It looks like you know the transformations pretty well now, do you want to do more practice or do you think you're ready for your test", "session_id": 14184, "sequence_id": 125, "annotations": []}
{"role": "student", "content": "ill be fine", "session_id": 14184, "sequence_id": 126, "annotations": []}
{"role": "volunteer", "content": "Okay then", "session_id": 14184, "sequence_id": 127, "annotations": []}
{"role": "volunteer", "content": "Bye Jamie!", "session_id": 14184, "sequence_id": 128, "annotations": [{"pii_type": "PERSON", "surrogate": "Jamie", "start": 4, "end": 9}]}
{"role": "student", "content": "bye thanks", "session_id": 14184, "sequence_id": 129, "annotations": []}
{"role": "volunteer", "content": "Hi!", "session_id": 14209, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "hello Alex!", "session_id": 14209, "sequence_id": 1, "annotations": [{"pii_type": "PERSON", "surrogate": "Alex", "start": 6, "end": 10}]}
{"role": "volunteer", "content": "How can I help you today?", "session_id": 14209, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "i need help with my homework", "session_id": 14209, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "Absolutely you can post it on the board", "session_id": 14209, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "im screen sharing if thats fine", "session_id": 14209, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "Yep i think this works too", "session_id": 14209, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "perfect!", "session_id": 14209, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "ill restart so you can get a better understanding of what i know so far", "session_id": 14209, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "Alright sounds good", "session_id": 14209, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "Oh wait don't submit it yet", "session_id": 14209, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "Can you see my chat while you're on the page?", "session_id": 14209, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "yea sorry", "session_id": 14209, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "alright", "session_id": 14209, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "im not sure how find the equation for this", "session_id": 14209, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "You can solve it in a lot of different ways but I would say the easiest approach here would be finding slope and y-intercept", "session_id": 14209, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "Did you learn the slope formula?", "session_id": 14209, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "yea", "session_id": 14209, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "its like y2 - y1 / x2 - x1 right", "session_id": 14209, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "yep exactly", "session_id": 14209, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "which means you need to find two separate points to use that equation", "session_id": 14209, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "so first pick two points", "session_id": 14209, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "and give me their coordinates", "session_id": 14209, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "like the 2 points marked?", "session_id": 14209, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "doesn't really matter", "session_id": 14209, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "3,1", "session_id": 14209, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "nice one more?", "session_id": 14209, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "1,3", "session_id": 14209, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "Cool", "session_id": 14209, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "Can you derive a slope from those two?", "session_id": 14209, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "so", "session_id": 14209, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "1-3/3-1?", "session_id": 14209, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "yeap", "session_id": 14209, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "so -2/2", "session_id": 14209, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "which is -1", "session_id": 14209, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "that's the slope", "session_id": 14209, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "i see", "session_id": 14209, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "and you need one more info to determine the equation for that line", "session_id": 14209, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "which is y intercept", "session_id": 14209, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "Can you find it based on the graph?", "session_id": 14209, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "4?", "session_id": 14209, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "Exactly", "session_id": 14209, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "so you combine those two", "session_id": 14209, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "and the equation is: y = -x + 4", "session_id": 14209, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "it's always y = (slope)x + (y intercept)", "session_id": 14209, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "I see", "session_id": 14209, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "yep so now that you have the equation you can just plug in the given coordinates and see if any of them works", "session_id": 14209, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "would it be -x+4 = 0", "session_id": 14209, "sequence_id": 47, "annotations": []}
{"role": "student", "content": "instead of just -x+4", "session_id": 14209, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "y = -x + 4", "session_id": 14209, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "you plug in the coordinates", "session_id": 14209, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "so for example if you wanna try option 1 which is (5, 0)", "session_id": 14209, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "oh i get it", "session_id": 14209, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "0 = -5 + 4? I don't think so. So you rule out option 1", "session_id": 14209, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "And so on", "session_id": 14209, "sequence_id": 54, "annotations": []}
{"role": "student", "content": "alright", "session_id": 14209, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "Yep let me know if you have any other questions on the way", "session_id": 14209, "sequence_id": 56, "annotations": []}
{"role": "student", "content": "so for 0,4", "session_id": 14209, "sequence_id": 57, "annotations": []}
{"role": "student", "content": "how would i do that", "session_id": 14209, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "plug in y = 4 and x = 0", "session_id": 14209, "sequence_id": 59, "annotations": []}
{"role": "student", "content": "so it woild look like 4=0+4", "session_id": 14209, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "yes so that makes sense right", "session_id": 14209, "sequence_id": 61, "annotations": []}
{"role": "student", "content": "yea", "session_id": 14209, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "that's the answer", "session_id": 14209, "sequence_id": 63, "annotations": []}
{"role": "student", "content": "alright so thats one of them", "session_id": 14209, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "mhm and you can try the same thing with the other options", "session_id": 14209, "sequence_id": 65, "annotations": []}
{"role": "student", "content": "so 2,2 would be there too right", "session_id": 14209, "sequence_id": 66, "annotations": []}
{"role": "student", "content": "2 does = -2+4", "session_id": 14209, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "yes correct", "session_id": 14209, "sequence_id": 68, "annotations": []}
{"role": "student", "content": "does -4 become positive 4", "session_id": 14209, "sequence_id": 69, "annotations": []}
{"role": "student", "content": "since its -x", "session_id": 14209, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "yes it does", "session_id": 14209, "sequence_id": 71, "annotations": []}
{"role": "student", "content": "im confused", "session_id": 14209, "sequence_id": 72, "annotations": []}
{"role": "student", "content": "I though i did all of these right", "session_id": 14209, "sequence_id": 73, "annotations": []}
{"role": "student", "content": "nevermind i accidentally did 1+5 at the end", "session_id": 14209, "sequence_id": 74, "annotations": []}
{"role": "student", "content": "i apologize", "session_id": 14209, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "no problem", "session_id": 14209, "sequence_id": 76, "annotations": []}
{"role": "student", "content": "i think ill do one more practice problem", "session_id": 14209, "sequence_id": 77, "annotations": []}
{"role": "student", "content": "just to make sure i have it down", "session_id": 14209, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "yup go for it", "session_id": 14209, "sequence_id": 79, "annotations": []}
{"role": "student", "content": "can i use 1,1 for the first point here", "session_id": 14209, "sequence_id": 80, "annotations": []}
{"role": "volunteer", "content": "yes definitely", "session_id": 14209, "sequence_id": 81, "annotations": []}
{"role": "volunteer", "content": "it doesn't matter which point when you're coming up with the equation", "session_id": 14209, "sequence_id": 82, "annotations": []}
{"role": "student", "content": "oh", "session_id": 14209, "sequence_id": 83, "annotations": []}
{"role": "student", "content": "so it doesnt have to be on the line at all?", "session_id": 14209, "sequence_id": 84, "annotations": []}
{"role": "volunteer", "content": "nono it still has to be on the line", "session_id": 14209, "sequence_id": 85, "annotations": []}
{"role": "volunteer", "content": "but im saying as long as it's on the line you can pick whichever", "session_id": 14209, "sequence_id": 86, "annotations": []}
{"role": "student", "content": "can i use 2,2 aswell then", "session_id": 14209, "sequence_id": 87, "annotations": []}
{"role": "volunteer", "content": "No because it's not on the line", "session_id": 14209, "sequence_id": 88, "annotations": []}
{"role": "volunteer", "content": "But you can use 0, 2", "session_id": 14209, "sequence_id": 89, "annotations": []}
{"role": "volunteer", "content": "Because it's on the line", "session_id": 14209, "sequence_id": 90, "annotations": []}
{"role": "student", "content": "so is it y=-x+2", "session_id": 14209, "sequence_id": 91, "annotations": []}
{"role": "student", "content": "sorry that took a minute i was distracted", "session_id": 14209, "sequence_id": 92, "annotations": []}
{"role": "volunteer", "content": "yes you got it", "session_id": 14209, "sequence_id": 93, "annotations": []}
{"role": "volunteer", "content": "no it's okay!", "session_id": 14209, "sequence_id": 94, "annotations": []}
{"role": "student", "content": "ok i get that part now thank you", "session_id": 14209, "sequence_id": 95, "annotations": []}
{"role": "student", "content": "with this one", "session_id": 14209, "sequence_id": 96, "annotations": []}
{"role": "student", "content": "do i just olug the x and y values into the equation", "session_id": 14209, "sequence_id": 97, "annotations": []}
{"role": "volunteer", "content": "yep no problem", "session_id": 14209, "sequence_id": 98, "annotations": []}
{"role": "volunteer", "content": "Mhm and you'll get the rest", "session_id": 14209, "sequence_id": 99, "annotations": []}
{"role": "volunteer", "content": "For example you can plug in the y value and it'll give you the x value", "session_id": 14209, "sequence_id": 100, "annotations": []}
{"role": "volunteer", "content": "and vice versa", "session_id": 14209, "sequence_id": 101, "annotations": []}
{"role": "student", "content": "x is 3 here right", "session_id": 14209, "sequence_id": 102, "annotations": []}
{"role": "student", "content": "and what do i do if i get a decimal for one", "session_id": 14209, "sequence_id": 103, "annotations": []}
{"role": "volunteer", "content": "are you referring to x = 0?", "session_id": 14209, "sequence_id": 104, "annotations": []}
{"role": "volunteer", "content": "then you either put fraction or decimal", "session_id": 14209, "sequence_id": 105, "annotations": []}
{"role": "volunteer", "content": "It's pretty much up to you but it also depends on the system so try both", "session_id": 14209, "sequence_id": 106, "annotations": []}
{"role": "student", "content": "yea decimal doesnt work", "session_id": 14209, "sequence_id": 107, "annotations": []}
{"role": "volunteer", "content": "then you can just put fraction", "session_id": 14209, "sequence_id": 108, "annotations": []}
{"role": "student", "content": "i have -4.5", "session_id": 14209, "sequence_id": 109, "annotations": []}
{"role": "volunteer", "content": "yep so that's -9/2", "session_id": 14209, "sequence_id": 110, "annotations": []}
{"role": "student", "content": "im at 12-4y=18", "session_id": 14209, "sequence_id": 111, "annotations": []}
{"role": "student", "content": "do i just add 4 to all sides to isolate y", "session_id": 14209, "sequence_id": 112, "annotations": []}
{"role": "volunteer", "content": "you subtract 12 from both sides", "session_id": 14209, "sequence_id": 113, "annotations": []}
{"role": "student", "content": "so -4y = 4", "session_id": 14209, "sequence_id": 114, "annotations": []}
{"role": "student", "content": "6", "session_id": 14209, "sequence_id": 115, "annotations": []}
{"role": "student", "content": "=6", "session_id": 14209, "sequence_id": 116, "annotations": []}
{"role": "student", "content": "then divide by -4", "session_id": 14209, "sequence_id": 117, "annotations": []}
{"role": "volunteer", "content": "yup", "session_id": 14209, "sequence_id": 118, "annotations": []}
{"role": "volunteer", "content": "Hey Ben, I unfortunately might have to leave the session now. Would that be okay?", "session_id": 14209, "sequence_id": 119, "annotations": [{"pii_type": "PERSON", "surrogate": "Ben", "start": 4, "end": 7}]}
{"role": "volunteer", "content": "You can always ask other tutors for help", "session_id": 14209, "sequence_id": 120, "annotations": []}
{"role": "student", "content": "thats all good! I appreciate you helping me learn the concepts", "session_id": 14209, "sequence_id": 121, "annotations": []}
{"role": "volunteer", "content": "Yep no problem. Have a good one", "session_id": 14209, "sequence_id": 122, "annotations": []}
{"role": "student", "content": "you aswell!", "session_id": 14209, "sequence_id": 123, "annotations": []}
{"role": "volunteer", "content": "Thankss", "session_id": 14209, "sequence_id": 124, "annotations": []}
{"role": "volunteer", "content": "Hey, need some math help?", "session_id": 14644, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "yep", "session_id": 14644, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "alright, wanna get it up on screen?", "session_id": 14644, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "will do", "session_id": 14644, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "ok there its on properties of exponets", "session_id": 14644, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "okay, so this is testing exponent rules. do u wanna try it first or do you want me to explain how they work", "session_id": 14644, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "can you explain", "session_id": 14644, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "yeah", "session_id": 14644, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "so first ill ask this", "session_id": 14644, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "what does \"4^2\" mean", "session_id": 14644, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "so not what does it equal, but what does it mean", "session_id": 14644, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "16", "session_id": 14644, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "thats what it equals", "session_id": 14644, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "oh sry", "session_id": 14644, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "im asking what does it mean", "session_id": 14644, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "ur good", "session_id": 14644, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "it means to multiply the number the the exponet number", "session_id": 14644, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "well that would mean 4x2", "session_id": 14644, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "but this is not that, because that would get us 8", "session_id": 14644, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "no", "session_id": 14644, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "its times by 2 times", "session_id": 14644, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "4 x 4", "session_id": 14644, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "4 times 4", "session_id": 14644, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 14644, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "notice how i started with 4^2 * 4^3", "session_id": 14644, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "and im shoring why the exponents add", "session_id": 14644, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "does it make sense why?", "session_id": 14644, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "ohh ok", "session_id": 14644, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "because when u write it out", "session_id": 14644, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "thats how many 4s there are", "session_id": 14644, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "does this one make sense so far?", "session_id": 14644, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "ok cause there is 3 4s and 2 4s", "session_id": 14644, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "yupp good", "session_id": 14644, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "now lets see why this one works", "session_id": 14644, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "it would be", "session_id": 14644, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "so the idea is", "session_id": 14644, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "when u have an exponent with an exponent", "session_id": 14644, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "they multiply", "session_id": 14644, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "and thats why", "session_id": 14644, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "i under stand that", "session_id": 14644, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "so based on that, see if u can try that original one u drew, it would not be 4^3 tho", "session_id": 14644, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "one sec", "session_id": 14644, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "np", "session_id": 14644, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "ok done", "session_id": 14644, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "good!", "session_id": 14644, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "we dwait", "session_id": 14644, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "sorry", "session_id": 14644, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "its close", "session_id": 14644, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "but remember", "session_id": 14644, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "first we had the exponents", "session_id": 14644, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "0 and 3", "session_id": 14644, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "we add them and get 3", "session_id": 14644, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "then we have a 6", "session_id": 14644, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "what do we do with the 3 and 6", "session_id": 14644, "sequence_id": 53, "annotations": []}
{"role": "student", "content": "ok so", "session_id": 14644, "sequence_id": 54, "annotations": []}
{"role": "student", "content": "x4to 18", "session_id": 14644, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "wdym by 4^18?", "session_id": 14644, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "so in the examples i drew for example", "session_id": 14644, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "theres no x", "session_id": 14644, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "and times 4 means times four maybe, but we dont normally just write \"times 4\"", "session_id": 14644, "sequence_id": 59, "annotations": []}
{"role": "student", "content": "ok", "session_id": 14644, "sequence_id": 60, "annotations": []}
{"role": "student", "content": "why", "session_id": 14644, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "because that would mean we are multiplying something by 4^18", "session_id": 14644, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "but what are multiplying by that?", "session_id": 14644, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "theres nothing here to do that", "session_id": 14644, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "for example, why isnt it plus? or minus? where did that x come from", "session_id": 14644, "sequence_id": 65, "annotations": []}
{"role": "student", "content": "it came from the problem", "session_id": 14644, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "okay lets say i asked u", "session_id": 14644, "sequence_id": 67, "annotations": []}
{"role": "student", "content": "ah I understand'", "session_id": 14644, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "2 times 3", "session_id": 14644, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "u would say its 6", "session_id": 14644, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "not x 6", "session_id": 14644, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "say here", "session_id": 14644, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "the times is just showing u whats happening between the values", "session_id": 14644, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "u \"used up\" the plus as ur solving it", "session_id": 14644, "sequence_id": 74, "annotations": []}
{"role": "volunteer", "content": "2+3 isnt = plus 5", "session_id": 14644, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "its just 5", "session_id": 14644, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "4^0 * 4^4 is 4^4 and not x^4", "session_id": 14644, "sequence_id": 77, "annotations": []}
{"role": "student", "content": "oh  okay that makes alot more sene", "session_id": 14644, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "okay nice", "session_id": 14644, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "and ur correct it becomes 18", "session_id": 14644, "sequence_id": 80, "annotations": []}
{"role": "volunteer", "content": "so u mighve accidentally done 3+1", "session_id": 14644, "sequence_id": 81, "annotations": []}
{"role": "volunteer", "content": "then done times 4", "session_id": 14644, "sequence_id": 82, "annotations": []}
{"role": "volunteer", "content": "because u wrote 4^0 is 1", "session_id": 14644, "sequence_id": 83, "annotations": []}
{"role": "volunteer", "content": "which is true, but doesnt help us here", "session_id": 14644, "sequence_id": 84, "annotations": []}
{"role": "student", "content": "okay", "session_id": 14644, "sequence_id": 85, "annotations": []}
{"role": "volunteer", "content": "want another example?", "session_id": 14644, "sequence_id": 86, "annotations": []}
{"role": "student", "content": "no its okay i understand thanks", "session_id": 14644, "sequence_id": 87, "annotations": []}
{"role": "student", "content": "Og", "session_id": 14718, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "hi Lena, what' up?", "session_id": 14718, "sequence_id": 1, "annotations": [{"pii_type": "PERSON", "surrogate": "Lena", "start": 3, "end": 7}]}
{"role": "student", "content": "Algebra 2", "session_id": 14718, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "Oh", "session_id": 14718, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "Hi", "session_id": 14718, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "ok, do you have a problem to work on?", "session_id": 14718, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "Dividing polynomials", "session_id": 14718, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 14718, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "How do I send pictur", "session_id": 14718, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "oh whar fun ;)", "session_id": 14718, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "No not fun ", "session_id": 14718, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "I'm stupid ", "session_id": 14718, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "And have an F", "session_id": 14718, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "dont see the picture yet", "session_id": 14718, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "we'd better get you up to speed so you can improve your grade :)", "session_id": 14718, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "I see it now", "session_id": 14718, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "Ok yay", "session_id": 14718, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "my teacher is too busy to help me ", "session_id": 14718, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "And I'm too slow ", "session_id": 14718, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "I'm not!", "session_id": 14718, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "I only know the old way, so you might need to bear with me, should we work on 3)?", "session_id": 14718, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 14718, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "I only got one done but", "session_id": 14718, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "I'm like 9th Grade math level", "session_id": 14718, "sequence_id": 23, "annotations": [{"pii_type": "GRADE_LEVEL", "surrogate": "9th Grade", "start": 9, "end": 18}]}
{"role": "volunteer", "content": "np. let me show you how to do 3)", "session_id": 14718, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "I'll work below your post", "session_id": 14718, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "Ok thank you", "session_id": 14718, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "can you see what I wrote....I start by setting it up like any division problem....", "session_id": 14718, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "Yes I can see", "session_id": 14718, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "ok, so the 1st term we need to get rid of is the 7x^2, to get the 7x^2m we need to multiply by 7x....I'll show you", "session_id": 14718, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "Does that cancel", "session_id": 14718, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "like that, do you see what I did?", "session_id": 14718, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "(x+4) * 7x = 7x^2 +28", "session_id": 14718, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 14718, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "ok, now we subtract   and you are right, we will get some cancellation", "session_id": 14718, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "Okays", "session_id": 14718, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "do you get what I did?", "session_id": 14718, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "What is the purple by the 28 is that like a square root", "session_id": 14718, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "no, I don't like to subtract so I changed 28x to -28x and added", "session_id": 14718, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "Ohh", "session_id": 14718, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "it helps me not make a mistake", "session_id": 14718, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "Okay understandable ", "session_id": 14718, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "ok, now we need to get rid of the x term do that, we need to multiply x by -9", "session_id": 14718, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "How", "session_id": 14718, "sequence_id": 43, "annotations": []}
{"role": "student", "content": "Oh", "session_id": 14718, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "and look at this comes out nice and easy we are left with the answer is 7x-9", "session_id": 14718, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "Okay is this corrct", "session_id": 14718, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "should we try 4)?", "session_id": 14718, "sequence_id": 47, "annotations": []}
{"role": "student", "content": "Oops it's glitching", "session_id": 14718, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "internet glitching?", "session_id": 14718, "sequence_id": 49, "annotations": []}
{"role": "student", "content": "ok yes ", "session_id": 14718, "sequence_id": 50, "annotations": []}
{"role": "student", "content": "There's another ones above 4 but I had to crop it", "session_id": 14718, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "do you want to write it out for me, or should we work on 4)?", "session_id": 14718, "sequence_id": 52, "annotations": []}
{"role": "student", "content": "Ok sure", "session_id": 14718, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "not seeing it yet", "session_id": 14718, "sequence_id": 54, "annotations": []}
{"role": "student", "content": "Sorry it glitched bad", "session_id": 14718, "sequence_id": 55, "annotations": []}
{"role": "student", "content": "Yea it won't load", "session_id": 14718, "sequence_id": 56, "annotations": []}
{"role": "student", "content": "Yea it won't load", "session_id": 14718, "sequence_id": 57, "annotations": []}
{"role": "student", "content": "Yea it won't load", "session_id": 14718, "sequence_id": 58, "annotations": []}
{"role": "student", "content": "Yea it won't load", "session_id": 14718, "sequence_id": 59, "annotations": []}
{"role": "student", "content": "Yea it won't load", "session_id": 14718, "sequence_id": 60, "annotations": []}
{"role": "student", "content": "Yea it won't load", "session_id": 14718, "sequence_id": 61, "annotations": []}
{"role": "student", "content": "Yea it won't load", "session_id": 14718, "sequence_id": 62, "annotations": []}
{"role": "student", "content": "Yea it won't load", "session_id": 14718, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "Hi Ben", "session_id": 17887, "sequence_id": 0, "annotations": [{"pii_type": "PERSON", "surrogate": "Ben", "start": 3, "end": 6}]}
{"role": "student", "content": "Hi Chloe", "session_id": 17887, "sequence_id": 1, "annotations": [{"pii_type": "PERSON", "surrogate": "Chloe", "start": 3, "end": 8}]}
{"role": "volunteer", "content": "How may I help you?", "session_id": 17887, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "So the problem I need help understanding is finding the limits but using the conjugate or something lol i'm just confused right now", "session_id": 17887, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "its a fraction but with a square root", "session_id": 17887, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "Can you upload the problem on the board?", "session_id": 17887, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "hold up let me try", "session_id": 17887, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "like i think ik what to do but not at the same time", "session_id": 17887, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "First off, if we plug in x=1, we get 0/0, correct?", "session_id": 17887, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 17887, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "We call the 0/0 form an \"indeterminate form\". Can you give me 3 minutes to solve, and then I'll explain?", "session_id": 17887, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "okay", "session_id": 17887, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "We can start. Did you learn what is the \"conjugate\" ?", "session_id": 17887, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "If not, I'll explain.", "session_id": 17887, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "the reciprocal of the square root, so it would be sqaure root x+8+3??", "session_id": 17887, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "The numerator has the form: \u221aa-b. The conjugate is \u221aa+b. You flip the sign in front of one of the terms.", "session_id": 17887, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "To solve the problem, we multiply top and bottom by the conjugate of the numerator.", "session_id": 17887, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "I can show you the first step if you wish.", "session_id": 17887, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "yes please", "session_id": 17887, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "OK so far?", "session_id": 17887, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "okay so i was like close i see i see, yeah i got that", "session_id": 17887, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "Now we multiply top and bottom of the fraction by the conjugate. Can you do it?", "session_id": 17887, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "umm wouldn't the top be 1 and then the bottom is (x-1)(sqrtx+8-3)?", "session_id": 17887, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "Not exactly. I can show you the next step if you like.", "session_id": 17887, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "yes please", "session_id": 17887, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "I'll write to the right of the uploaded problem 4.", "session_id": 17887, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "okay", "session_id": 17887, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "For the numerator, we have two parentheses to multiply. Did you learn the \"FOIL\" method?", "session_id": 17887, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "i think so, but my teacher never called it the foil method", "session_id": 17887, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "I can expand the numerator and write the first term.", "session_id": 17887, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "Can you continue?", "session_id": 17887, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "isn't the numerator x+8-9?", "session_id": 17887, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "the sqrt cancelled out each other?", "session_id": 17887, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "Correct. The numerator simplifies to x+8-9 = x-1.", "session_id": 17887, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "What's the next step?", "session_id": 17887, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "Good. You canceled out (x-1) top and bottom.", "session_id": 17887, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "Notice that we no longer have 0/0. You can just plug in x=1.", "session_id": 17887, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "thats rightttt", "session_id": 17887, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "What limit do you get?", "session_id": 17887, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "6", "session_id": 17887, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "You're close. I'll show you.", "session_id": 17887, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "i forgot the numerator", "session_id": 17887, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "omg", "session_id": 17887, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "i was there and not there at the same time", "session_id": 17887, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "Anyway, I think you get the idea. When you multiply by the conjugate, the 0/0 (indeterminate) form disappears, and you just plug in x=1.", "session_id": 17887, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "For problem 8, you can use the same method.", "session_id": 17887, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "okok i think i got it", "session_id": 17887, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "for problem 10 i have to factor the numerator right? and then for problem 6 what do i do??", "session_id": 17887, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "Yes. For problem 10, you factor the numerator, and one of the factors will cancel out top and bottom. Then you plug in x=3.", "session_id": 17887, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "For problem 6, can you give me 3 minutes to solve? I'll need to see what method to use.", "session_id": 17887, "sequence_id": 49, "annotations": []}
{"role": "student", "content": "okay", "session_id": 17887, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "For problem 6, the first step is to add the two fractions in the numerator. Can you do it?", "session_id": 17887, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "For example, if you have 1/a-1/b, the common denominator is a*b. And you get (b-a)/ab, etc.", "session_id": 17887, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "You're on the right track. And don't forget the \"x\" in the original denominator.", "session_id": 17887, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "Now you can simplify and plug in x=0.", "session_id": 17887, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "Not quite. You plugged in x=0 too soon, before simplifying. I'll show you on the board.", "session_id": 17887, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "Can you continue?", "session_id": 17887, "sequence_id": 56, "annotations": []}
{"role": "student", "content": "no i can't, I got confused why did you multiply the x from the denominator?", "session_id": 17887, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "Look at the original expression for problem 6 in your upload. I circled the \"x\" in pink color.", "session_id": 17887, "sequence_id": 58, "annotations": []}
{"role": "student", "content": "i see", "session_id": 17887, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "limit = -1/4 is correct. You got it.", "session_id": 17887, "sequence_id": 60, "annotations": []}
{"role": "student", "content": "i guess, but i'm still confused on why did the x get to the (2x+4)", "session_id": 17887, "sequence_id": 61, "annotations": []}
{"role": "student", "content": "from the original expression", "session_id": 17887, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "I'll show more details on the board to explain.", "session_id": 17887, "sequence_id": 63, "annotations": []}
{"role": "student", "content": "ok", "session_id": 17887, "sequence_id": 64, "annotations": []}
{"role": "student", "content": "since the x was originally the denominator it just stayed there even after the fraction was being multiplied?", "session_id": 17887, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "That's right. We can't forget the \"x\" in the denominator (pink color).", "session_id": 17887, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "And the -x/x simplifies to -1.", "session_id": 17887, "sequence_id": 67, "annotations": []}
{"role": "student", "content": "I see, thats what i got confused on, cause it didn't make sense it was still part of the denominator for some reason but now i got it", "session_id": 17887, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "Awesome!", "session_id": 17887, "sequence_id": 69, "annotations": []}
{"role": "student", "content": "okay thank you! this was very helpful", "session_id": 17887, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "You're welcome. We can end the session. Have a good evening.", "session_id": 17887, "sequence_id": 71, "annotations": []}
{"role": "student", "content": "you too!", "session_id": 17887, "sequence_id": 72, "annotations": []}
{"role": "student", "content": "hello!", "session_id": 18014, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "Hi Marcus", "session_id": 18014, "sequence_id": 1, "annotations": [{"pii_type": "PERSON", "surrogate": "Marcus", "start": 3, "end": 9}]}
{"role": "student", "content": "I need some help with this problem", "session_id": 18014, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "OK. I'm reading the problem...", "session_id": 18014, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "Which part of the problem do you need help with?", "session_id": 18014, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "i have a set up already", "session_id": 18014, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "i think my math is just wrong", "session_id": 18014, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "let me write it out", "session_id": 18014, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "The integral is correctly set up.", "session_id": 18014, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "is this correct?", "session_id": 18014, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "I'll show you on the board.", "session_id": 18014, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "ok", "session_id": 18014, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "The coefficient in front of cos(2x) should be 1/2 and not 2.", "session_id": 18014, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "why?", "session_id": 18014, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "If you differentiate (1/2)cos(2x), do you get -sin(2x) ?", "session_id": 18014, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "yea", "session_id": 18014, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "I'll write on the board to explain.", "session_id": 18014, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "In other words, \u222b-sin(2x)dx = (1/2)cos(2x) and not 2cos(2x).", "session_id": 18014, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "ok i see", "session_id": 18014, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "got it", "session_id": 18014, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "i got 1/4 for the first integral", "session_id": 18014, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "OK. I'll check your answer...", "session_id": 18014, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "1/4 is correct for the first integral.", "session_id": 18014, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "ok great!", "session_id": 18014, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "Did you want to do the second integral?", "session_id": 18014, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "yes", "session_id": 18014, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "im doing it right now", "session_id": 18014, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "i got -5/4", "session_id": 18014, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "Not exactly.", "session_id": 18014, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "The area has to be positive.", "session_id": 18014, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "is this correct?", "session_id": 18014, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "Correct so far.", "session_id": 18014, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "is it this?", "session_id": 18014, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "Now it's correct. The second integral is 1/4.", "session_id": 18014, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "All that's left is to add the two integrals to find the total area.", "session_id": 18014, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "so 1/8", "session_id": 18014, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "1/4+1/4 = ?", "session_id": 18014, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "1/2", "session_id": 18014, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "Correct.", "session_id": 18014, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "thanks :))", "session_id": 18014, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "I have one more", "session_id": 18014, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "i don't really know how to approach it", "session_id": 18014, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "I'm reading...", "session_id": 18014, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "First, which graph(s) shows the correct line for y = 8x ?", "session_id": 18014, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "We can proceed by elimination.", "session_id": 18014, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "3rd one", "session_id": 18014, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "Good. Any other?", "session_id": 18014, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "4th one too", "session_id": 18014, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "OK. So we can eliminate options (a) and (b).", "session_id": 18014, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "Now let's look for y=x/8.", "session_id": 18014, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "Do options (c) and (d) have the correct line for y=x/8 ?", "session_id": 18014, "sequence_id": 50, "annotations": []}
{"role": "student", "content": "c does", "session_id": 18014, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "Yes, and (d) does too. Now look for y=2/x.", "session_id": 18014, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "Between (c) and (d), which one has y=2/x ?", "session_id": 18014, "sequence_id": 53, "annotations": []}
{"role": "student", "content": "it's d", "session_id": 18014, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "Correct.", "session_id": 18014, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "The next step is to locate the two points of intersection, circled in red and green. Can you find them?", "session_id": 18014, "sequence_id": 56, "annotations": []}
{"role": "student", "content": "sure", "session_id": 18014, "sequence_id": 57, "annotations": []}
{"role": "student", "content": "like the x-values?", "session_id": 18014, "sequence_id": 58, "annotations": []}
{"role": "student", "content": "1/2 and 4", "session_id": 18014, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "Correct. We only need the x-values. Can you set up the integral(s) for the area?", "session_id": 18014, "sequence_id": 60, "annotations": []}
{"role": "student", "content": "ok", "session_id": 18014, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "It's better to use parentheses, as I'm showing, to avoid confusion later in your calculations.", "session_id": 18014, "sequence_id": 62, "annotations": []}
{"role": "student", "content": "ok", "session_id": 18014, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "The two integrals are correctly set up.", "session_id": 18014, "sequence_id": 64, "annotations": []}
{"role": "student", "content": "is this correct?", "session_id": 18014, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "No. I", "session_id": 18014, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "I'll explain on the board.", "session_id": 18014, "sequence_id": 67, "annotations": []}
{"role": "student", "content": "so 1/16 x^2", "session_id": 18014, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "Yes. Now it's correct.", "session_id": 18014, "sequence_id": 69, "annotations": []}
{"role": "student", "content": "is this correct?", "session_id": 18014, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "Looks good. Can you simplify?", "session_id": 18014, "sequence_id": 71, "annotations": []}
{"role": "student", "content": "is this correct?", "session_id": 18014, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "It's correct, but it can be simplified further.", "session_id": 18014, "sequence_id": 73, "annotations": []}
{"role": "student", "content": "2 (ln(4-1/2))", "session_id": 18014, "sequence_id": 74, "annotations": []}
{"role": "volunteer", "content": "Using the property of logarithms: ln(a) - ln(b) = ln(a/b).", "session_id": 18014, "sequence_id": 75, "annotations": []}
{"role": "student", "content": "2(ln(8))?", "session_id": 18014, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "Correct. You can also write it as 2(ln(8)) = 2*ln(2^3) = 2*(3*ln(2)) = 6*ln(2).", "session_id": 18014, "sequence_id": 77, "annotations": []}
{"role": "student", "content": "i see", "session_id": 18014, "sequence_id": 78, "annotations": []}
{"role": "student", "content": "thanks so much for the help!", "session_id": 18014, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "You're welcome. Enjoy the rest of your day.", "session_id": 18014, "sequence_id": 80, "annotations": []}
{"role": "student", "content": "have a nice day :))", "session_id": 18014, "sequence_id": 81, "annotations": []}
{"role": "student", "content": "Hello!", "session_id": 18233, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "Hey!", "session_id": 18233, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "How has your day been?", "session_id": 18233, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "My day has been good what about yours?", "session_id": 18233, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "Im glad to hear that! mines was good aswell", "session_id": 18233, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "should I put the problem on the board?", "session_id": 18233, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "Yes!", "session_id": 18233, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "alright, it will be sloppy because I'm on a cromebook", "session_id": 18233, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "That's alright!", "session_id": 18233, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "this is the first question", "session_id": 18233, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "I just wanted to make sure my answer was correct but I don't know if it is", "session_id": 18233, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "Did you write your answer down/", "session_id": 18233, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "I just did this:", "session_id": 18233, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "Sarah all I did", "session_id": 18233, "sequence_id": 13, "annotations": [{"pii_type": "PERSON", "surrogate": "Sarah", "start": 0, "end": 5}]}
{"role": "volunteer", "content": "Does the rule have to be a sentence or numbers?", "session_id": 18233, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "numbers", "session_id": 18233, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "Yes, its right!", "session_id": 18233, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "oh ok!", "session_id": 18233, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "give me a second to write the other one", "session_id": 18233, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "its related to this one", "session_id": 18233, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "Take your time!", "session_id": 18233, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "thank yiou", "session_id": 18233, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "ok I done", "session_id": 18233, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "Do you have any idea what this answer could be?", "session_id": 18233, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "no :(", "session_id": 18233, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "oh wait", "session_id": 18233, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "maybe \\", "session_id": 18233, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "letme see", "session_id": 18233, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "I can't believe I didn't see that XD", "session_id": 18233, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "Yes, I thought you'd get it!", "session_id": 18233, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "I'm looking at my paper and I'm trying gto see if I can do it without help", "session_id": 18233, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "Yes, good job. I'm always here to support!", "session_id": 18233, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "ok thank you :D", "session_id": 18233, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "No problem!", "session_id": 18233, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "I will write it", "session_id": 18233, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "Alright!", "session_id": 18233, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "okay I wrote it", "session_id": 18233, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "Do you wanna try to solve it or for me to?", "session_id": 18233, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "u too please", "session_id": 18233, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "I already did the math in my head", "session_id": 18233, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "oh", "session_id": 18233, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "is it 30?", "session_id": 18233, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "Yes, its 30!", "session_id": 18233, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "ok! yay", "session_id": 18233, "sequence_id": 43, "annotations": []}
{"role": "student", "content": "I wrote it", "session_id": 18233, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "Yes, I'm solving it", "session_id": 18233, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "ok", "session_id": 18233, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "I Math 205!", "session_id": 18233, "sequence_id": 47, "annotations": [{"pii_type": "COURSE", "surrogate": "Math 205", "start": 2, "end": 10}]}
{"role": "student", "content": "how would you solve it", "session_id": 18233, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "I don't get it :/", "session_id": 18233, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "Well, I created a formal for it once I recognized the pattern!", "session_id": 18233, "sequence_id": 50, "annotations": []}
{"role": "student", "content": "oh", "session_id": 18233, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "can u show me how", "session_id": 18233, "sequence_id": 52, "annotations": []}
{"role": "student", "content": "olease", "session_id": 18233, "sequence_id": 53, "annotations": []}
{"role": "student", "content": "please", "session_id": 18233, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "I used this formula!", "session_id": 18233, "sequence_id": 55, "annotations": []}
{"role": "student", "content": "oh ok", "session_id": 18233, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "It's just recognizing patterns", "session_id": 18233, "sequence_id": 57, "annotations": []}
{"role": "student", "content": "I'm not that good at formulas :'D", "session_id": 18233, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "It's okay and it definitely takes practice!", "session_id": 18233, "sequence_id": 59, "annotations": []}
{"role": "student", "content": "yes", "session_id": 18233, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "You'll get the hang of ittt", "session_id": 18233, "sequence_id": 61, "annotations": []}
{"role": "student", "content": "yeaa", "session_id": 18233, "sequence_id": 62, "annotations": []}
{"role": "student", "content": "one second I'll be right back", "session_id": 18233, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "Sounds good!", "session_id": 18233, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "Me too also!", "session_id": 18233, "sequence_id": 65, "annotations": []}
{"role": "student", "content": "alright I'm back", "session_id": 18233, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "Me too!", "session_id": 18233, "sequence_id": 67, "annotations": []}
{"role": "student", "content": "so I was thinking and this is my best guess", "session_id": 18233, "sequence_id": 68, "annotations": []}
{"role": "student", "content": "get ready for disappointment!", "session_id": 18233, "sequence_id": 69, "annotations": []}
{"role": "student", "content": "lol", "session_id": 18233, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "There is not a drawing for figure N right?", "session_id": 18233, "sequence_id": 71, "annotations": []}
{"role": "student", "content": "no it just says that", "session_id": 18233, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "I'm thinking there might not be any squares in figure N", "session_id": 18233, "sequence_id": 73, "annotations": []}
{"role": "student", "content": "how come?", "session_id": 18233, "sequence_id": 74, "annotations": []}
{"role": "volunteer", "content": "Because they're using the original equation and when asking to check if the rule works for n=1 and up, I'm guessing that the number has to start at 0", "session_id": 18233, "sequence_id": 75, "annotations": []}
{"role": "student", "content": "oh iok", "session_id": 18233, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "Then by checking the rule, we can see that the number is still coherent", "session_id": 18233, "sequence_id": 77, "annotations": []}
{"role": "student", "content": "what does that mean", "session_id": 18233, "sequence_id": 78, "annotations": []}
{"role": "student", "content": "coherent", "session_id": 18233, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "That it's the same", "session_id": 18233, "sequence_id": 80, "annotations": []}
{"role": "volunteer", "content": "And that the rule still applies", "session_id": 18233, "sequence_id": 81, "annotations": []}
{"role": "student", "content": "oh okk", "session_id": 18233, "sequence_id": 82, "annotations": []}
{"role": "volunteer", "content": "I am slightly confused on wording for that question to be honest but I can't think of another answer", "session_id": 18233, "sequence_id": 83, "annotations": []}
{"role": "student", "content": "Same", "session_id": 18233, "sequence_id": 84, "annotations": []}
{"role": "volunteer", "content": "0 makes the most sense if we're checking the rule starting at 1 so it's most likely not after 1 if that makes sense", "session_id": 18233, "sequence_id": 85, "annotations": []}
{"role": "student", "content": "that makes more sense", "session_id": 18233, "sequence_id": 86, "annotations": []}
{"role": "student", "content": "well thank you for your help that is all I have for today!", "session_id": 18233, "sequence_id": 87, "annotations": []}
{"role": "student", "content": "I hope your day tomorrow is great! have a good night!]", "session_id": 18233, "sequence_id": 88, "annotations": []}
{"role": "volunteer", "content": "You're welcome! Have a good rest of your night! :)", "session_id": 18233, "sequence_id": 89, "annotations": []}
{"role": "student", "content": "byeeeeeeeee", "session_id": 18233, "sequence_id": 90, "annotations": []}
{"role": "volunteer", "content": "Byee", "session_id": 18233, "sequence_id": 91, "annotations": []}
{"role": "volunteer", "content": "Hello", "session_id": 19113, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "my thing connect out", "session_id": 19113, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "Yes thats okay", "session_id": 19113, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "ok", "session_id": 19113, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "So as I was saying, \n\nAnything to the power of zero is actually 1", "session_id": 19113, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "It is a given rule", "session_id": 19113, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "ok", "session_id": 19113, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "So 2^0 is 1", "session_id": 19113, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "Then 6^1? Do you know what it is?", "session_id": 19113, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "ok 2x2=4", "session_id": 19113, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "/", "session_id": 19113, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "?", "session_id": 19113, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "I dont see 2x2 anywhere", "session_id": 19113, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "Do you know what 6^1 is?", "session_id": 19113, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "36", "session_id": 19113, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "No", "session_id": 19113, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "That is 6^2", "session_id": 19113, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "1", "session_id": 19113, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "6", "session_id": 19113, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "yes 6^1 is 6", "session_id": 19113, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "ok", "session_id": 19113, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "Okay   do you see the drawing I made", "session_id": 19113, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "yea", "session_id": 19113, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "Oh ok you wrote it in", "session_id": 19113, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "Alright what is a^2 times 1", "session_id": 19113, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "Anything times one is itself", "session_id": 19113, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "Hey are you there?", "session_id": 19113, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "yea", "session_id": 19113, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "Okay", "session_id": 19113, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "Do you know what a^2 times 1 is?", "session_id": 19113, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "idk", "session_id": 19113, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "a=1", "session_id": 19113, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "right", "session_id": 19113, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "No", "session_id": 19113, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "A^2 times 1 is equal to itself", "session_id": 19113, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "As I said previously", "session_id": 19113, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "1", "session_id": 19113, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "So it is equal to a^2", "session_id": 19113, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "? No", "session_id": 19113, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "It is a^2", "session_id": 19113, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "oh yea a^2/6", "session_id": 19113, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "2*1 = 2\n3*1 = 3\n\nMultiplying by 1 equals the same number", "session_id": 19113, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "Yes that is it simplified", "session_id": 19113, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "a^2 / 6", "session_id": 19113, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "Is the correct answer", "session_id": 19113, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "a^2/6 is the correct answer right", "session_id": 19113, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 19113, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "Well done", "session_id": 19113, "sequence_id": 47, "annotations": []}
{"role": "student", "content": "ok thanks", "session_id": 19113, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 19113, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "Is that it for today?", "session_id": 19113, "sequence_id": 50, "annotations": []}
{"role": "student", "content": "thanks", "session_id": 19113, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "yea", "session_id": 19113, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "Alright", "session_id": 19113, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "I hope I was able to help you", "session_id": 19113, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "Have a good night!", "session_id": 19113, "sequence_id": 55, "annotations": []}
{"role": "student", "content": "yea you were", "session_id": 19113, "sequence_id": 56, "annotations": []}
{"role": "student", "content": "you too", "session_id": 19113, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "\ud83d\udc4d", "session_id": 19113, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "Hi How can I help you", "session_id": 15, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "Let me know what your question is", "session_id": 15, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "I have a test tomorrow and there are some concepts I am confused on", "session_id": 15, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "sure! Let me know what concepts", "session_id": 15, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "and then we can go over them", "session_id": 15, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "how to find the circumcenter from 3 coordinates?", "session_id": 15, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 15, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "so first you have to find the midpoints", "session_id": 15, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "let me give you example", "session_id": 15, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "ok", "session_id": 15, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "Do you know how to solve", "session_id": 15, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "I understand up to making the equations of the lines", "session_id": 15, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "ok so why dont you do that first for this", "session_id": 15, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "do what?", "session_id": 15, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "the equations for the lines", "session_id": 15, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "using the three points I gave", "session_id": 15, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "try to solve for the circumcenter using those three points?", "session_id": 15, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 15, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "can you upload a picture of a graph for me to work on?", "session_id": 15, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "Oh on the whiteboard I gave you the points", "session_id": 15, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "so using midpoint formula", "session_id": 15, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "do you know what mid point formula us", "session_id": 15, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "is*", "session_id": 15, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "yes", "session_id": 15, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "Okay so Using that formula, try to do that first", "session_id": 15, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "done", "session_id": 15, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "good", "session_id": 15, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "now find the slopes of those two lines", "session_id": 15, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "done", "session_id": 15, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "good", "session_id": 15, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "but for the slopes, you need to find the perpendicular slopes", "session_id": 15, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "so -1 = 1", "session_id": 15, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "and 1 = 1", "session_id": 15, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "understanding so far?", "session_id": 15, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "then use point slope form", "session_id": 15, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "yes", "session_id": 15, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "and plug in the new slopes, and the points from the mid point formula", "session_id": 15, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "so you can solve that where I wrote it", "session_id": 15, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "on the white board", "session_id": 15, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "use point slope formula", "session_id": 15, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "wouldn't 1 go to -1 though?", "session_id": 15, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "oh yes that was my typo mistake", "session_id": 15, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "your correct", "session_id": 15, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "so now use the point slope formula", "session_id": 15, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "and find those equations", "session_id": 15, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "for bc and AB", "session_id": 15, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "let me know if you need help with that", "session_id": 15, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "I need help with thay", "session_id": 15, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 15, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "so the point slope formula is:", "session_id": 15, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "y - y1 = m(x - x1)", "session_id": 15, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "where y-coordinate and x-coordinate are the points you found from the mid point", "session_id": 15, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "and m is the new slope", "session_id": 15, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "so Ill do BC for you", "session_id": 15, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "then you do AB okay?", "session_id": 15, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "And you should probably memorize this poin slope formula", "session_id": 15, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "point*", "session_id": 15, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "It is very important for your exam", "session_id": 15, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "very good so far!!", "session_id": 15, "sequence_id": 58, "annotations": []}
{"role": "student", "content": "shouldn't you have done -1 for the slope?", "session_id": 15, "sequence_id": 59, "annotations": []}
{"role": "student", "content": "nevermind", "session_id": 15, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "good", "session_id": 15, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "now to find the circumcenter", "session_id": 15, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "you have to use those two equations to find y and x", "session_id": 15, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "by combining them", "session_id": 15, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "do you know how to do that, any idea on how to maybe solve", "session_id": 15, "sequence_id": 65, "annotations": []}
{"role": "student", "content": "I need help", "session_id": 15, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "Ok let me show you the set up", "session_id": 15, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "so lets find y first", "session_id": 15, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "to find y, we need to make all of the variables and numbers on the opposite side for BC", "session_id": 15, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "so y = 5/2 + 1(x-3/2)", "session_id": 15, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "understanding so far?", "session_id": 15, "sequence_id": 71, "annotations": []}
{"role": "student", "content": "yes", "session_id": 15, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "ok then, you have to plug that y equation into AB", "session_id": 15, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "so it would look like:\n y = 5/2 + 1(x-3/2) - 3/2 = -1(x-3/2)", "session_id": 15, "sequence_id": 74, "annotations": []}
{"role": "volunteer", "content": "wait sorry", "session_id": 15, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "let me just write it for you", "session_id": 15, "sequence_id": 76, "annotations": []}
{"role": "student", "content": "ok. let me know when you are done", "session_id": 15, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "yep I am done", "session_id": 15, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "so now you have to find x", "session_id": 15, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "do you think you can solve it", "session_id": 15, "sequence_id": 80, "annotations": []}
{"role": "volunteer", "content": "let me know", "session_id": 15, "sequence_id": 81, "annotations": []}
{"role": "student", "content": "I can try", "session_id": 15, "sequence_id": 82, "annotations": []}
{"role": "volunteer", "content": "sure go ahead", "session_id": 15, "sequence_id": 83, "annotations": []}
{"role": "student", "content": "is that the correct first step?", "session_id": 15, "sequence_id": 84, "annotations": []}
{"role": "volunteer", "content": "umm there might be an easier way to do it", "session_id": 15, "sequence_id": 85, "annotations": []}
{"role": "student", "content": "can you go through what you would do?", "session_id": 15, "sequence_id": 86, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 15, "sequence_id": 87, "annotations": []}
{"role": "volunteer", "content": "so I brought all like terms to one side", "session_id": 15, "sequence_id": 88, "annotations": []}
{"role": "volunteer", "content": "now do you think you can sole", "session_id": 15, "sequence_id": 89, "annotations": []}
{"role": "volunteer", "content": "solve*", "session_id": 15, "sequence_id": 90, "annotations": []}
{"role": "volunteer", "content": "remember 2/2  = 1", "session_id": 15, "sequence_id": 91, "annotations": []}
{"role": "student", "content": "would x=1", "session_id": 15, "sequence_id": 92, "annotations": []}
{"role": "volunteer", "content": "yes very good", "session_id": 15, "sequence_id": 93, "annotations": []}
{"role": "volunteer", "content": "sorry I just wanted to make sure", "session_id": 15, "sequence_id": 94, "annotations": []}
{"role": "volunteer", "content": "but yes x = 1", "session_id": 15, "sequence_id": 95, "annotations": []}
{"role": "volunteer", "content": "now plug in x and find y", "session_id": 15, "sequence_id": 96, "annotations": []}
{"role": "volunteer", "content": "you can plug in x to any two equations AB or BC", "session_id": 15, "sequence_id": 97, "annotations": []}
{"role": "volunteer", "content": "let me know if you need help", "session_id": 15, "sequence_id": 98, "annotations": []}
{"role": "student", "content": "does y=2?", "session_id": 15, "sequence_id": 99, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 15, "sequence_id": 100, "annotations": []}
{"role": "volunteer", "content": "so the circumcenter is", "session_id": 15, "sequence_id": 101, "annotations": []}
{"role": "volunteer", "content": "1,2", "session_id": 15, "sequence_id": 102, "annotations": []}
{"role": "student", "content": "ok", "session_id": 15, "sequence_id": 103, "annotations": []}
{"role": "volunteer", "content": "undertsanding the steps?", "session_id": 15, "sequence_id": 104, "annotations": []}
{"role": "volunteer", "content": "How about you list out the steps to me", "session_id": 15, "sequence_id": 105, "annotations": []}
{"role": "volunteer", "content": "so I know you understand", "session_id": 15, "sequence_id": 106, "annotations": []}
{"role": "student", "content": "should I try to solve a problem on my own", "session_id": 15, "sequence_id": 107, "annotations": []}
{"role": "volunteer", "content": "sure okay", "session_id": 15, "sequence_id": 108, "annotations": []}
{"role": "student", "content": "will you make one or should I do one from my review", "session_id": 15, "sequence_id": 109, "annotations": []}
{"role": "volunteer", "content": "oh you should do one from your review", "session_id": 15, "sequence_id": 110, "annotations": []}
{"role": "volunteer", "content": "draw out the points on the whiteboard", "session_id": 15, "sequence_id": 111, "annotations": []}
{"role": "volunteer", "content": "so I can see", "session_id": 15, "sequence_id": 112, "annotations": []}
{"role": "student", "content": "can you upload a picture of a graph to the board for me to work on", "session_id": 15, "sequence_id": 113, "annotations": []}
{"role": "volunteer", "content": "sure", "session_id": 15, "sequence_id": 114, "annotations": []}
{"role": "student", "content": "ok. let me know once you have", "session_id": 15, "sequence_id": 115, "annotations": []}
{"role": "volunteer", "content": "here you go", "session_id": 15, "sequence_id": 116, "annotations": []}
{"role": "student", "content": "ok", "session_id": 15, "sequence_id": 117, "annotations": []}
{"role": "volunteer", "content": "sorry just to confirm what are the points, its hard to see from the graph", "session_id": 15, "sequence_id": 118, "annotations": []}
{"role": "volunteer", "content": "so i can make sure your on the right track", "session_id": 15, "sequence_id": 119, "annotations": []}
{"role": "student", "content": "(-2, 5), (5, 1), (-4, -5)", "session_id": 15, "sequence_id": 120, "annotations": []}
{"role": "volunteer", "content": "okay, thanks", "session_id": 15, "sequence_id": 121, "annotations": []}
{"role": "volunteer", "content": "you can continue solving", "session_id": 15, "sequence_id": 122, "annotations": []}
{"role": "volunteer", "content": "so -2 + 5 give 3 not - 7....", "session_id": 15, "sequence_id": 123, "annotations": []}
{"role": "volunteer", "content": "and 5 + -4 give 1 not 9...", "session_id": 15, "sequence_id": 124, "annotations": []}
{"role": "student", "content": "oops", "session_id": 15, "sequence_id": 125, "annotations": []}
{"role": "volunteer", "content": "because midpoint formula is x + x and y + y", "session_id": 15, "sequence_id": 126, "annotations": []}
{"role": "volunteer", "content": "no worries!", "session_id": 15, "sequence_id": 127, "annotations": []}
{"role": "volunteer", "content": "good, you just need to find 2 midpoints", "session_id": 15, "sequence_id": 128, "annotations": []}
{"role": "volunteer", "content": "very good", "session_id": 15, "sequence_id": 129, "annotations": []}
{"role": "volunteer", "content": "now you can find the slopes", "session_id": 15, "sequence_id": 130, "annotations": []}
{"role": "volunteer", "content": "the perpendicular slopes", "session_id": 15, "sequence_id": 131, "annotations": []}
{"role": "volunteer", "content": "very good", "session_id": 15, "sequence_id": 132, "annotations": []}
{"role": "student", "content": "are those correct", "session_id": 15, "sequence_id": 133, "annotations": []}
{"role": "volunteer", "content": "now find the perpendicular of those slopes", "session_id": 15, "sequence_id": 134, "annotations": []}
{"role": "volunteer", "content": "yep, just need to find the perpendicular slopes!", "session_id": 15, "sequence_id": 135, "annotations": []}
{"role": "student", "content": "I thought those are the perpendicular", "session_id": 15, "sequence_id": 136, "annotations": []}
{"role": "volunteer", "content": "perpendicular slopes are the opposite reciprocal", "session_id": 15, "sequence_id": 137, "annotations": []}
{"role": "volunteer", "content": "so 7/4 = -4/7", "session_id": 15, "sequence_id": 138, "annotations": []}
{"role": "student", "content": "I thought I already did the negative reciprocals", "session_id": 15, "sequence_id": 139, "annotations": []}
{"role": "volunteer", "content": "hmmm", "session_id": 15, "sequence_id": 140, "annotations": []}
{"role": "volunteer", "content": "so", "session_id": 15, "sequence_id": 141, "annotations": []}
{"role": "volunteer", "content": "let me see..", "session_id": 15, "sequence_id": 142, "annotations": []}
{"role": "volunteer", "content": "ohhh okay I see what you mean", "session_id": 15, "sequence_id": 143, "annotations": []}
{"role": "volunteer", "content": "sorry I did it a little differenlty", "session_id": 15, "sequence_id": 144, "annotations": []}
{"role": "volunteer", "content": "your correct", "session_id": 15, "sequence_id": 145, "annotations": []}
{"role": "volunteer", "content": "you can continue with the point slope form", "session_id": 15, "sequence_id": 146, "annotations": []}
{"role": "volunteer", "content": "oh wait", "session_id": 15, "sequence_id": 147, "annotations": []}
{"role": "volunteer", "content": "check -9/4 again", "session_id": 15, "sequence_id": 148, "annotations": []}
{"role": "volunteer", "content": "im getting -9/6", "session_id": 15, "sequence_id": 149, "annotations": []}
{"role": "student", "content": "I redid it and got that", "session_id": 15, "sequence_id": 150, "annotations": []}
{"role": "volunteer", "content": "ok good", "session_id": 15, "sequence_id": 151, "annotations": []}
{"role": "volunteer", "content": "you can continue", "session_id": 15, "sequence_id": 152, "annotations": []}
{"role": "volunteer", "content": "very good!!!", "session_id": 15, "sequence_id": 153, "annotations": []}
{"role": "volunteer", "content": "now solve for y by combining two euqations", "session_id": 15, "sequence_id": 154, "annotations": []}
{"role": "student", "content": "can you remind me how to do that", "session_id": 15, "sequence_id": 155, "annotations": []}
{"role": "volunteer", "content": "so y = all of the variables on one side", "session_id": 15, "sequence_id": 156, "annotations": []}
{"role": "volunteer", "content": "do that for the first equation", "session_id": 15, "sequence_id": 157, "annotations": []}
{"role": "student", "content": "y=3+7/4(x-3/2)", "session_id": 15, "sequence_id": 158, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 15, "sequence_id": 159, "annotations": []}
{"role": "volunteer", "content": "now plug in that y into the second equation", "session_id": 15, "sequence_id": 160, "annotations": []}
{"role": "student", "content": "3+7/4(x-3/2)+2=-9/6(x-1/2)", "session_id": 15, "sequence_id": 161, "annotations": []}
{"role": "volunteer", "content": "yes very good!!!", "session_id": 15, "sequence_id": 162, "annotations": []}
{"role": "volunteer", "content": "now solve for x", "session_id": 15, "sequence_id": 163, "annotations": []}
{"role": "volunteer", "content": "you may have to distrubute first", "session_id": 15, "sequence_id": 164, "annotations": []}
{"role": "volunteer", "content": "then solve", "session_id": 15, "sequence_id": 165, "annotations": []}
{"role": "volunteer", "content": "like 7/4x", "session_id": 15, "sequence_id": 166, "annotations": []}
{"role": "volunteer", "content": "and all", "session_id": 15, "sequence_id": 167, "annotations": []}
{"role": "volunteer", "content": "thats an easy way to solve", "session_id": 15, "sequence_id": 168, "annotations": []}
{"role": "volunteer", "content": "I would recomment keeping them fractions", "session_id": 15, "sequence_id": 169, "annotations": []}
{"role": "volunteer", "content": "to make it easer for the future", "session_id": 15, "sequence_id": 170, "annotations": []}
{"role": "volunteer", "content": "good!", "session_id": 15, "sequence_id": 171, "annotations": []}
{"role": "volunteer", "content": "if its easier for you to solve on a piece of paper do you want to do that", "session_id": 15, "sequence_id": 172, "annotations": []}
{"role": "volunteer", "content": "and then let me know the answer", "session_id": 15, "sequence_id": 173, "annotations": []}
{"role": "student", "content": "I'm fine on whiteboard?", "session_id": 15, "sequence_id": 174, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 15, "sequence_id": 175, "annotations": []}
{"role": "volunteer", "content": "whatever works for you", "session_id": 15, "sequence_id": 176, "annotations": []}
{"role": "student", "content": "ok", "session_id": 15, "sequence_id": 177, "annotations": []}
{"role": "volunteer", "content": "very good", "session_id": 15, "sequence_id": 178, "annotations": []}
{"role": "volunteer", "content": "now solve for x", "session_id": 15, "sequence_id": 179, "annotations": []}
{"role": "volunteer", "content": "how did you get 19/8", "session_id": 15, "sequence_id": 180, "annotations": []}
{"role": "volunteer", "content": "oh never mind", "session_id": 15, "sequence_id": 181, "annotations": []}
{"role": "volunteer", "content": "i got it", "session_id": 15, "sequence_id": 182, "annotations": []}
{"role": "volunteer", "content": "you can continue", "session_id": 15, "sequence_id": 183, "annotations": []}
{"role": "volunteer", "content": "very good!!!", "session_id": 15, "sequence_id": 184, "annotations": []}
{"role": "volunteer", "content": "that is correct", "session_id": 15, "sequence_id": 185, "annotations": []}
{"role": "volunteer", "content": "x = -1/2", "session_id": 15, "sequence_id": 186, "annotations": []}
{"role": "volunteer", "content": "now you can plug that into the previous equation(whichever one) and find y", "session_id": 15, "sequence_id": 187, "annotations": []}
{"role": "volunteer", "content": "let me know if you understand", "session_id": 15, "sequence_id": 188, "annotations": []}
{"role": "student", "content": "(-1/2, -2)?", "session_id": 15, "sequence_id": 189, "annotations": []}
{"role": "volunteer", "content": "y is not -2", "session_id": 15, "sequence_id": 190, "annotations": []}
{"role": "volunteer", "content": "try again", "session_id": 15, "sequence_id": 191, "annotations": []}
{"role": "student", "content": "(-0.5, 3.5)", "session_id": 15, "sequence_id": 192, "annotations": []}
{"role": "volunteer", "content": "y is not 3.5", "session_id": 15, "sequence_id": 193, "annotations": []}
{"role": "volunteer", "content": "try one more time", "session_id": 15, "sequence_id": 194, "annotations": []}
{"role": "student", "content": "(-1/2, -1/2)", "session_id": 15, "sequence_id": 195, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 15, "sequence_id": 196, "annotations": []}
{"role": "volunteer", "content": "good job!!", "session_id": 15, "sequence_id": 197, "annotations": []}
{"role": "volunteer", "content": "I hope you remember all of the steps", "session_id": 15, "sequence_id": 198, "annotations": []}
{"role": "volunteer", "content": "and practice more!", "session_id": 15, "sequence_id": 199, "annotations": []}
{"role": "volunteer", "content": "do you understand everything now", "session_id": 15, "sequence_id": 200, "annotations": []}
{"role": "volunteer", "content": "let me know!", "session_id": 15, "sequence_id": 201, "annotations": []}
{"role": "student", "content": "ok", "session_id": 15, "sequence_id": 202, "annotations": []}
{"role": "student", "content": "one sec", "session_id": 15, "sequence_id": 203, "annotations": []}
{"role": "volunteer", "content": "sure!", "session_id": 15, "sequence_id": 204, "annotations": []}
{"role": "student", "content": "everything makes sense. thanks for all of the help today", "session_id": 15, "sequence_id": 205, "annotations": []}
{"role": "volunteer", "content": "thats great!", "session_id": 15, "sequence_id": 206, "annotations": []}
{"role": "volunteer", "content": "good luck on your exam!", "session_id": 15, "sequence_id": 207, "annotations": []}
{"role": "volunteer", "content": "Bye!", "session_id": 15, "sequence_id": 208, "annotations": []}
{"role": "student", "content": "thank you", "session_id": 15, "sequence_id": 209, "annotations": []}
{"role": "student", "content": "bye", "session_id": 15, "sequence_id": 210, "annotations": []}
{"role": "volunteer", "content": "Hello How are you?", "session_id": 106, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "good just a little stressed", "session_id": 106, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "Well I will try to help", "session_id": 106, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "determine whether the given function is linear, exponential, or neither. For those that are linear functions, find a linear function that models the data; for those that are exponential, find an exponential function that models the data.", "session_id": 106, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "OK I see it. WHat is the question", "session_id": 106, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "II seee", "session_id": 106, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "I must look in the chat", "session_id": 106, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "Sorry'", "session_id": 106, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "my test will be on wednsday since school is cancelled monday", "session_id": 106, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "OK pls wait while I copy text form chat", "session_id": 106, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "so I might be here for a while asking for help", "session_id": 106, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "Ok well I have almsot 2 hours.", "session_id": 106, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "At  8 PM Eastern I must stop", "session_id": 106, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "is that for every tutor?", "session_id": 106, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "My wife says no math or physics from 8 PM to ( PM lol", "session_id": 106, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "9 PM", "session_id": 106, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "OH no each tutor si diferent", "session_id": 106, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "oh okay well lets start !", "session_id": 106, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "I have gone fo my than three hours, but not lately", "session_id": 106, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "its currently 5:14 for me", "session_id": 106, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 106, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "OK 6:14 for me", "session_id": 106, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 106, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "what do you think about thsi question?", "session_id": 106, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "confusing", "session_id": 106, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 106, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "well what would u do to 5/4 to get 5 ?", "session_id": 106, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "not sure", "session_id": 106, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "OK well there are several things but suppose you multiply it by 4 what do u get?", "session_id": 106, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "I dont know how to start", "session_id": 106, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "i know we have to use change of y over change of x", "session_id": 106, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "OK that try that", "session_id": 106, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "then*", "session_id": 106, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "how", "session_id": 106, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "maybe start a 0", "session_id": 106, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "to aviad fraction", "session_id": 106, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "from x = 0 to x -1 what is the change in x ?", "session_id": 106, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "I mean from x = 0 to x = 1", "session_id": 106, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "im sorry I just dont know", "session_id": 106, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 106, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "Pls wait while I getr my iPad then I can easily wreite", "session_id": 106, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "That will take about 2 minures OK?", "session_id": 106, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "okay", "session_id": 106, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "I am back", "session_id": 106, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "must enable iPad and stylus pls wait", "session_id": 106, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "okay no problem", "session_id": 106, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 106, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "I will start after a questin", "session_id": 106, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "Do u have a defintion for the slope of a line?", "session_id": 106, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "yes f(x+1)/f(x)", "session_id": 106, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 106, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "that is a good start", "session_id": 106, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "suppose we have to points ((x1, y1)) and (x2,y2) how would you get ther slope?", "session_id": 106, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "two*", "session_id": 106, "sequence_id": 53, "annotations": []}
{"role": "student", "content": "not sure what youre talking about", "session_id": 106, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "OK I will write on baord Pls watch", "session_id": 106, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "see the red and blu marks I put on the figure?", "session_id": 106, "sequence_id": 56, "annotations": []}
{"role": "student", "content": "yes", "session_id": 106, "sequence_id": 57, "annotations": []}
{"role": "student", "content": "isnt slope y2-y1/x2-x1", "session_id": 106, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "Yes that is it", "session_id": 106, "sequence_id": 59, "annotations": []}
{"role": "student", "content": "so do i do that", "session_id": 106, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "Now using the secion I makred what are x1 and y1?", "session_id": 106, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "Yes pls", "session_id": 106, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "useing the section I marked", "session_id": 106, "sequence_id": 63, "annotations": []}
{"role": "student", "content": "is x 0", "session_id": 106, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "good", "session_id": 106, "sequence_id": 65, "annotations": []}
{"role": "student", "content": "ok let me do that", "session_id": 106, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "and what is y?", "session_id": 106, "sequence_id": 67, "annotations": []}
{"role": "student", "content": "1", "session_id": 106, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "good OK pls calc slope", "session_id": 106, "sequence_id": 69, "annotations": []}
{"role": "student", "content": "is it 15", "session_id": 106, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 106, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "good", "session_id": 106, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "Now I will put mare marks", "session_id": 106, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "Now use the \"pink\" and green pari OK?", "session_id": 106, "sequence_id": 74, "annotations": []}
{"role": "volunteer", "content": "pair*", "session_id": 106, "sequence_id": 75, "annotations": []}
{"role": "student", "content": "do i do the same thing", "session_id": 106, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "Yes thie time x1 is 1 and x2 is 2 OK?", "session_id": 106, "sequence_id": 77, "annotations": []}
{"role": "student", "content": "ok yes", "session_id": 106, "sequence_id": 78, "annotations": []}
{"role": "student", "content": "is it 60", "session_id": 106, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 106, "sequence_id": 80, "annotations": []}
{"role": "volunteer", "content": "and that does not equl 15 so we do not have a linear realtion", "session_id": 106, "sequence_id": 81, "annotations": []}
{"role": "volunteer", "content": "Do you see why?", "session_id": 106, "sequence_id": 82, "annotations": []}
{"role": "student", "content": "because it not constant?", "session_id": 106, "sequence_id": 83, "annotations": []}
{"role": "volunteer", "content": "Yes the slope is not constant and that sio required for a line OK", "session_id": 106, "sequence_id": 84, "annotations": []}
{"role": "volunteer", "content": "Now the x's are equally spaced  do u agree?", "session_id": 106, "sequence_id": 85, "annotations": []}
{"role": "student", "content": "yeah it shouldve been 30 if it was constant right", "session_id": 106, "sequence_id": 86, "annotations": []}
{"role": "volunteer", "content": "noyt exactly the slope shoul dhave been 15 again", "session_id": 106, "sequence_id": 87, "annotations": []}
{"role": "student", "content": "oh okay", "session_id": 106, "sequence_id": 88, "annotations": []}
{"role": "student", "content": "ok so how i check for exponential", "session_id": 106, "sequence_id": 89, "annotations": []}
{"role": "volunteer", "content": "OK now let us look at the jsut they's (but remember that the x's are equally spced)", "session_id": 106, "sequence_id": 90, "annotations": []}
{"role": "volunteer", "content": "do you see the blue mark?", "session_id": 106, "sequence_id": 91, "annotations": []}
{"role": "student", "content": "yes", "session_id": 106, "sequence_id": 92, "annotations": []}
{"role": "volunteer", "content": "ok what is 20/5", "session_id": 106, "sequence_id": 93, "annotations": []}
{"role": "student", "content": "4", "session_id": 106, "sequence_id": 94, "annotations": []}
{"role": "volunteer", "content": "Good", "session_id": 106, "sequence_id": 95, "annotations": []}
{"role": "volunteer", "content": "good", "session_id": 106, "sequence_id": 96, "annotations": []}
{"role": "volunteer", "content": "sotty", "session_id": 106, "sequence_id": 97, "annotations": []}
{"role": "student", "content": "haha", "session_id": 106, "sequence_id": 98, "annotations": []}
{"role": "volunteer", "content": "now at the next point, what is 80/20?", "session_id": 106, "sequence_id": 99, "annotations": []}
{"role": "student", "content": "40", "session_id": 106, "sequence_id": 100, "annotations": []}
{"role": "volunteer", "content": "I disagree", "session_id": 106, "sequence_id": 101, "annotations": []}
{"role": "student", "content": "4", "session_id": 106, "sequence_id": 102, "annotations": []}
{"role": "volunteer", "content": "yes good", "session_id": 106, "sequence_id": 103, "annotations": []}
{"role": "volunteer", "content": "I will add mark", "session_id": 106, "sequence_id": 104, "annotations": []}
{"role": "student", "content": "whoops", "session_id": 106, "sequence_id": 105, "annotations": []}
{"role": "volunteer", "content": "see the orange amrk?", "session_id": 106, "sequence_id": 106, "annotations": []}
{"role": "student", "content": "yes", "session_id": 106, "sequence_id": 107, "annotations": []}
{"role": "volunteer", "content": "what number/80?", "session_id": 106, "sequence_id": 108, "annotations": []}
{"role": "student", "content": "how do you know what numbers to divide", "session_id": 106, "sequence_id": 109, "annotations": []}
{"role": "student", "content": "4", "session_id": 106, "sequence_id": 110, "annotations": []}
{"role": "volunteer", "content": "i am jsut using pairs from the h(x) column", "session_id": 106, "sequence_id": 111, "annotations": []}
{"role": "student", "content": "oh ok", "session_id": 106, "sequence_id": 112, "annotations": []}
{"role": "volunteer", "content": "so for the orange what number/80?", "session_id": 106, "sequence_id": 113, "annotations": []}
{"role": "student", "content": "4", "session_id": 106, "sequence_id": 114, "annotations": []}
{"role": "volunteer", "content": "good", "session_id": 106, "sequence_id": 115, "annotations": []}
{"role": "volunteer", "content": "and the top what do you think (5/4)/5 is ?", "session_id": 106, "sequence_id": 116, "annotations": []}
{"role": "volunteer", "content": "oop", "session_id": 106, "sequence_id": 117, "annotations": []}
{"role": "volunteer", "content": "I mean 5/(5/4)", "session_id": 106, "sequence_id": 118, "annotations": []}
{"role": "student", "content": "4", "session_id": 106, "sequence_id": 119, "annotations": []}
{"role": "volunteer", "content": "Yes do u see a pattern?", "session_id": 106, "sequence_id": 120, "annotations": []}
{"role": "student", "content": "yes", "session_id": 106, "sequence_id": 121, "annotations": []}
{"role": "volunteer", "content": "OK Now IF the x's are equally spaced (as they are here) we can sue this method and sicne the ratios are constant we then we have an exponential relation", "session_id": 106, "sequence_id": 122, "annotations": []}
{"role": "volunteer", "content": "use*", "session_id": 106, "sequence_id": 123, "annotations": []}
{"role": "student", "content": "ok", "session_id": 106, "sequence_id": 124, "annotations": []}
{"role": "volunteer", "content": "now if the x's are not equally spaced, I think there is a formula that you might hvae but I do not remeber it", "session_id": 106, "sequence_id": 125, "annotations": []}
{"role": "volunteer", "content": "Also do u know how u have done this in ur class?", "session_id": 106, "sequence_id": 126, "annotations": []}
{"role": "volunteer", "content": "there are ways to use a calcultor", "session_id": 106, "sequence_id": 127, "annotations": []}
{"role": "student", "content": "we used this formula f(x+1)/f(x)", "session_id": 106, "sequence_id": 128, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 106, "sequence_id": 129, "annotations": []}
{"role": "volunteer", "content": "well that is exactly what we did!", "session_id": 106, "sequence_id": 130, "annotations": []}
{"role": "volunteer", "content": "excpet we used the symbol H instead of f becuase the question says H(x) see?", "session_id": 106, "sequence_id": 131, "annotations": []}
{"role": "student", "content": "yes", "session_id": 106, "sequence_id": 132, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 106, "sequence_id": 133, "annotations": []}
{"role": "student", "content": "that's the only formula i see in my notes i copied from class", "session_id": 106, "sequence_id": 134, "annotations": []}
{"role": "volunteer", "content": "Good", "session_id": 106, "sequence_id": 135, "annotations": []}
{"role": "volunteer", "content": "now the question asks us to find an exponential formula", "session_id": 106, "sequence_id": 136, "annotations": []}
{"role": "volunteer", "content": "to go with this", "session_id": 106, "sequence_id": 137, "annotations": []}
{"role": "volunteer", "content": "DO u have any notes about how to do that?", "session_id": 106, "sequence_id": 138, "annotations": []}
{"role": "student", "content": "i think we have to do the rate of change", "session_id": 106, "sequence_id": 139, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 106, "sequence_id": 140, "annotations": []}
{"role": "student", "content": "because we need to make it f(x)=Ca^x", "session_id": 106, "sequence_id": 141, "annotations": []}
{"role": "volunteer", "content": "yes that look good", "session_id": 106, "sequence_id": 142, "annotations": []}
{"role": "volunteer", "content": "Now I think we now know that C = 4", "session_id": 106, "sequence_id": 143, "annotations": []}
{"role": "volunteer", "content": "beased on our work so far", "session_id": 106, "sequence_id": 144, "annotations": []}
{"role": "volunteer", "content": "Do you see why?", "session_id": 106, "sequence_id": 145, "annotations": []}
{"role": "student", "content": "what does c represent", "session_id": 106, "sequence_id": 146, "annotations": []}
{"role": "volunteer", "content": "sorry Not C", "session_id": 106, "sequence_id": 147, "annotations": []}
{"role": "volunteer", "content": "I mean a", "session_id": 106, "sequence_id": 148, "annotations": []}
{"role": "volunteer", "content": "OK I will write on board (I hope stylujs battery holds up)", "session_id": 106, "sequence_id": 149, "annotations": []}
{"role": "volunteer", "content": "Pls watch", "session_id": 106, "sequence_id": 150, "annotations": []}
{"role": "volunteer", "content": "do u see the \"pink\" it is I think the formual you gve?", "session_id": 106, "sequence_id": 151, "annotations": []}
{"role": "volunteer", "content": "m I correct?", "session_id": 106, "sequence_id": 152, "annotations": []}
{"role": "student", "content": "yes", "session_id": 106, "sequence_id": 153, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 106, "sequence_id": 154, "annotations": []}
{"role": "volunteer", "content": "now a is the ratio", "session_id": 106, "sequence_id": 155, "annotations": []}
{"role": "volunteer", "content": "and we found the ratio to be 4", "session_id": 106, "sequence_id": 156, "annotations": []}
{"role": "volunteer", "content": "so I will write in blue (I hope)", "session_id": 106, "sequence_id": 157, "annotations": []}
{"role": "volunteer", "content": "Now we must find C OK?", "session_id": 106, "sequence_id": 158, "annotations": []}
{"role": "student", "content": "ok", "session_id": 106, "sequence_id": 159, "annotations": []}
{"role": "volunteer", "content": "OK let me thinkl", "session_id": 106, "sequence_id": 160, "annotations": []}
{"role": "volunteer", "content": "OK I think easiest way is to make x = 0", "session_id": 106, "sequence_id": 161, "annotations": []}
{"role": "volunteer", "content": "do you know what 4^0 is?", "session_id": 106, "sequence_id": 162, "annotations": []}
{"role": "student", "content": "4 or 1 idk", "session_id": 106, "sequence_id": 163, "annotations": []}
{"role": "volunteer", "content": "it is 1", "session_id": 106, "sequence_id": 164, "annotations": []}
{"role": "volunteer", "content": "any number (expcet 0) to the 0 power is one OK?", "session_id": 106, "sequence_id": 165, "annotations": []}
{"role": "student", "content": "ok", "session_id": 106, "sequence_id": 166, "annotations": []}
{"role": "volunteer", "content": "ok Now I will write", "session_id": 106, "sequence_id": 167, "annotations": []}
{"role": "volunteer", "content": "so H(0)) = c", "session_id": 106, "sequence_id": 168, "annotations": []}
{"role": "volunteer", "content": "and from the table what is H(0))?", "session_id": 106, "sequence_id": 169, "annotations": []}
{"role": "student", "content": "5", "session_id": 106, "sequence_id": 170, "annotations": []}
{"role": "volunteer", "content": "good so now we ahve c !!!", "session_id": 106, "sequence_id": 171, "annotations": []}
{"role": "student", "content": "omg yay", "session_id": 106, "sequence_id": 172, "annotations": []}
{"role": "volunteer", "content": "OK now we msut check it", "session_id": 106, "sequence_id": 173, "annotations": []}
{"role": "volunteer", "content": "suppose x = 1, what does our new eaution gives us for H(1)?", "session_id": 106, "sequence_id": 174, "annotations": []}
{"role": "student", "content": "20", "session_id": 106, "sequence_id": 175, "annotations": []}
{"role": "volunteer", "content": "good", "session_id": 106, "sequence_id": 176, "annotations": []}
{"role": "volunteer", "content": "and for H(2)?", "session_id": 106, "sequence_id": 177, "annotations": []}
{"role": "student", "content": "80", "session_id": 106, "sequence_id": 178, "annotations": []}
{"role": "volunteer", "content": "good", "session_id": 106, "sequence_id": 179, "annotations": []}
{"role": "volunteer", "content": "ands H(3)?", "session_id": 106, "sequence_id": 180, "annotations": []}
{"role": "student", "content": "320", "session_id": 106, "sequence_id": 181, "annotations": []}
{"role": "volunteer", "content": "Yes", "session_id": 106, "sequence_id": 182, "annotations": []}
{"role": "volunteer", "content": "and finaly", "session_id": 106, "sequence_id": 183, "annotations": []}
{"role": "volunteer", "content": "how about H(-1)?", "session_id": 106, "sequence_id": 184, "annotations": []}
{"role": "student", "content": "5/4", "session_id": 106, "sequence_id": 185, "annotations": []}
{"role": "volunteer", "content": "yes so it work!!!", "session_id": 106, "sequence_id": 186, "annotations": []}
{"role": "student", "content": "wait i was just looking at the table", "session_id": 106, "sequence_id": 187, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 106, "sequence_id": 188, "annotations": []}
{"role": "student", "content": "how was I supposed to plug that in", "session_id": 106, "sequence_id": 189, "annotations": []}
{"role": "volunteer", "content": "well", "session_id": 106, "sequence_id": 190, "annotations": []}
{"role": "volunteer", "content": "not sure what you mean do you mean for -1 or in general?", "session_id": 106, "sequence_id": 191, "annotations": []}
{"role": "student", "content": "in general", "session_id": 106, "sequence_id": 192, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 106, "sequence_id": 193, "annotations": []}
{"role": "student", "content": "like all the values of x", "session_id": 106, "sequence_id": 194, "annotations": []}
{"role": "volunteer", "content": "I m gping to try to write in yelloq on the black", "session_id": 106, "sequence_id": 195, "annotations": []}
{"role": "volunteer", "content": "we'll see if that works", "session_id": 106, "sequence_id": 196, "annotations": []}
{"role": "volunteer", "content": "see that?", "session_id": 106, "sequence_id": 197, "annotations": []}
{"role": "volunteer", "content": "that is to check x = 1 ?", "session_id": 106, "sequence_id": 198, "annotations": []}
{"role": "student", "content": "kinda confused so i have to put as c the value of y that was above the x", "session_id": 106, "sequence_id": 199, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 106, "sequence_id": 200, "annotations": []}
{"role": "volunteer", "content": "let me review", "session_id": 106, "sequence_id": 201, "annotations": []}
{"role": "volunteer", "content": "do u remember how we found the ratio 4 ?", "session_id": 106, "sequence_id": 202, "annotations": []}
{"role": "student", "content": "yes", "session_id": 106, "sequence_id": 203, "annotations": []}
{"role": "volunteer", "content": "OK Now IF the x's are all separated by 1, which they are here", "session_id": 106, "sequence_id": 204, "annotations": []}
{"role": "volunteer", "content": "That gives us the \"a\" value OK?", "session_id": 106, "sequence_id": 205, "annotations": []}
{"role": "student", "content": "i dont understnad", "session_id": 106, "sequence_id": 206, "annotations": []}
{"role": "student", "content": "so I would use those numbers to get us 20", "session_id": 106, "sequence_id": 207, "annotations": []}
{"role": "volunteer", "content": "OK I will write more in yellow watch", "session_id": 106, "sequence_id": 208, "annotations": []}
{"role": "volunteer", "content": "I wrote the general formula in yellow", "session_id": 106, "sequence_id": 209, "annotations": []}
{"role": "volunteer", "content": "I sued H instead of f OK?", "session_id": 106, "sequence_id": 210, "annotations": []}
{"role": "volunteer", "content": "used*", "session_id": 106, "sequence_id": 211, "annotations": []}
{"role": "volunteer", "content": "OK I see soem orange", "session_id": 106, "sequence_id": 212, "annotations": []}
{"role": "volunteer", "content": "di you add that?", "session_id": 106, "sequence_id": 213, "annotations": []}
{"role": "student", "content": "yes", "session_id": 106, "sequence_id": 214, "annotations": []}
{"role": "volunteer", "content": "OK whagt do u want to aks about that?", "session_id": 106, "sequence_id": 215, "annotations": []}
{"role": "student", "content": "the 5 and 1 I plug in to make the desired number which was 20 in this situation", "session_id": 106, "sequence_id": 216, "annotations": []}
{"role": "volunteer", "content": "ok yes", "session_id": 106, "sequence_id": 217, "annotations": []}
{"role": "volunteer", "content": "but the 5 is \"c\" and it is used every time", "session_id": 106, "sequence_id": 218, "annotations": []}
{"role": "volunteer", "content": "I will explain how we get  5", "session_id": 106, "sequence_id": 219, "annotations": []}
{"role": "volunteer", "content": "OK?", "session_id": 106, "sequence_id": 220, "annotations": []}
{"role": "student", "content": "ok", "session_id": 106, "sequence_id": 221, "annotations": []}
{"role": "volunteer", "content": "I will write more in yellow", "session_id": 106, "sequence_id": 222, "annotations": []}
{"role": "volunteer", "content": "After we found the ration (a) to be 4, we had the equation I jsut wrote", "session_id": 106, "sequence_id": 223, "annotations": []}
{"role": "volunteer", "content": "we still need to find C OK?", "session_id": 106, "sequence_id": 224, "annotations": []}
{"role": "student", "content": "ok", "session_id": 106, "sequence_id": 225, "annotations": []}
{"role": "volunteer", "content": "ratio*", "session_id": 106, "sequence_id": 226, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 106, "sequence_id": 227, "annotations": []}
{"role": "volunteer", "content": "now we do that by choosing on x and then finding out what c we need", "session_id": 106, "sequence_id": 228, "annotations": []}
{"role": "volunteer", "content": "I chose x = 1", "session_id": 106, "sequence_id": 229, "annotations": []}
{"role": "volunteer", "content": "I could have chose another", "session_id": 106, "sequence_id": 230, "annotations": []}
{"role": "volunteer", "content": "but I thoguht that we eiasiest", "session_id": 106, "sequence_id": 231, "annotations": []}
{"role": "volunteer", "content": "0 is touch becuase we have to think about 4^0", "session_id": 106, "sequence_id": 232, "annotations": []}
{"role": "volunteer", "content": "but any x will work", "session_id": 106, "sequence_id": 233, "annotations": []}
{"role": "volunteer", "content": "I will write igain", "session_id": 106, "sequence_id": 234, "annotations": []}
{"role": "student", "content": "ok I get it", "session_id": 106, "sequence_id": 235, "annotations": []}
{"role": "volunteer", "content": "Then we can solve for c and get c = 5", "session_id": 106, "sequence_id": 236, "annotations": []}
{"role": "volunteer", "content": "OK one more comment", "session_id": 106, "sequence_id": 237, "annotations": []}
{"role": "volunteer", "content": "That all works", "session_id": 106, "sequence_id": 238, "annotations": []}
{"role": "volunteer", "content": "but then we checked each vlaue", "session_id": 106, "sequence_id": 239, "annotations": []}
{"role": "volunteer", "content": "for a short lsit that is possible", "session_id": 106, "sequence_id": 240, "annotations": []}
{"role": "volunteer", "content": "and confirmed that the eq worked", "session_id": 106, "sequence_id": 241, "annotations": []}
{"role": "volunteer", "content": "for along list, we msut either have faith of use other checks", "session_id": 106, "sequence_id": 242, "annotations": []}
{"role": "volunteer", "content": "OK?", "session_id": 106, "sequence_id": 243, "annotations": []}
{"role": "student", "content": "ok", "session_id": 106, "sequence_id": 244, "annotations": []}
{"role": "volunteer", "content": "OK did this help?", "session_id": 106, "sequence_id": 245, "annotations": []}
{"role": "student", "content": "yes", "session_id": 106, "sequence_id": 246, "annotations": []}
{"role": "student", "content": "I have another question", "session_id": 106, "sequence_id": 247, "annotations": []}
{"role": "volunteer", "content": "OK then we continue", "session_id": 106, "sequence_id": 248, "annotations": []}
{"role": "volunteer", "content": "OK yes quesiton?", "session_id": 106, "sequence_id": 249, "annotations": []}
{"role": "student", "content": "i meant a new problem I wanted to start on whoops you first", "session_id": 106, "sequence_id": 250, "annotations": []}
{"role": "volunteer", "content": "yes first let me ask two questions", "session_id": 106, "sequence_id": 251, "annotations": []}
{"role": "volunteer", "content": "In your course do you use scientific calculators and/or grpahing calculaotrs?", "session_id": 106, "sequence_id": 252, "annotations": []}
{"role": "student", "content": "Yes, we use scientific calculators but on the test we gonna have just calculators", "session_id": 106, "sequence_id": 253, "annotations": []}
{"role": "student", "content": "not allowed to use graphing ones", "session_id": 106, "sequence_id": 254, "annotations": []}
{"role": "volunteer", "content": "OK I  see", "session_id": 106, "sequence_id": 255, "annotations": []}
{"role": "volunteer", "content": "well most grpahing calcs can fit data and tell you the answer", "session_id": 106, "sequence_id": 256, "annotations": []}
{"role": "volunteer", "content": "I can see why you can;t sue them", "session_id": 106, "sequence_id": 257, "annotations": []}
{"role": "volunteer", "content": "But in the \"real world\" we do LOL", "session_id": 106, "sequence_id": 258, "annotations": []}
{"role": "student", "content": "can i show you the next problem", "session_id": 106, "sequence_id": 259, "annotations": []}
{"role": "volunteer", "content": "Yes", "session_id": 106, "sequence_id": 260, "annotations": []}
{"role": "volunteer", "content": "may we clear the board first?", "session_id": 106, "sequence_id": 261, "annotations": []}
{"role": "student", "content": "yes please", "session_id": 106, "sequence_id": 262, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 106, "sequence_id": 263, "annotations": []}
{"role": "volunteer", "content": "I see the figure", "session_id": 106, "sequence_id": 264, "annotations": []}
{"role": "volunteer", "content": "OK so we need to choose one from A thru H?", "session_id": 106, "sequence_id": 265, "annotations": []}
{"role": "student", "content": "no we just need to match one funtion to that graph", "session_id": 106, "sequence_id": 266, "annotations": []}
{"role": "volunteer", "content": "Yes I think that is what I mean", "session_id": 106, "sequence_id": 267, "annotations": []}
{"role": "volunteer", "content": "I mean we msut the function (from A to H) that matches this grpah. Am I correct?", "session_id": 106, "sequence_id": 268, "annotations": []}
{"role": "student", "content": "yes", "session_id": 106, "sequence_id": 269, "annotations": []}
{"role": "volunteer", "content": "OK Any idea how to start?", "session_id": 106, "sequence_id": 270, "annotations": []}
{"role": "student", "content": "i know this decaying", "session_id": 106, "sequence_id": 271, "annotations": []}
{"role": "volunteer", "content": "OK good", "session_id": 106, "sequence_id": 272, "annotations": []}
{"role": "volunteer", "content": "does that help you eeliminate soem choices?", "session_id": 106, "sequence_id": 273, "annotations": []}
{"role": "student", "content": "i think a can be eliminates", "session_id": 106, "sequence_id": 274, "annotations": []}
{"role": "volunteer", "content": "OK first I have  a ques", "session_id": 106, "sequence_id": 275, "annotations": []}
{"role": "volunteer", "content": "Are you sure that the A to H are all the choices?", "session_id": 106, "sequence_id": 276, "annotations": []}
{"role": "volunteer", "content": "are there more below H?", "session_id": 106, "sequence_id": 277, "annotations": []}
{"role": "student", "content": "yes", "session_id": 106, "sequence_id": 278, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 106, "sequence_id": 279, "annotations": []}
{"role": "student", "content": "no just those options", "session_id": 106, "sequence_id": 280, "annotations": []}
{"role": "volunteer", "content": "becuase I think this func is not in A thru H", "session_id": 106, "sequence_id": 281, "annotations": []}
{"role": "volunteer", "content": "Ohh hsorry OK", "session_id": 106, "sequence_id": 282, "annotations": []}
{"role": "volunteer", "content": "only these I a wrong my badd", "session_id": 106, "sequence_id": 283, "annotations": []}
{"role": "volunteer", "content": "I need to try to read chat while I type", "session_id": 106, "sequence_id": 284, "annotations": []}
{"role": "volunteer", "content": "Ok", "session_id": 106, "sequence_id": 285, "annotations": []}
{"role": "volunteer", "content": "so which ones are not decaying?", "session_id": 106, "sequence_id": 286, "annotations": []}
{"role": "student", "content": "A", "session_id": 106, "sequence_id": 287, "annotations": []}
{"role": "volunteer", "content": "Ok", "session_id": 106, "sequence_id": 288, "annotations": []}
{"role": "volunteer", "content": "I will cross that ouy", "session_id": 106, "sequence_id": 289, "annotations": []}
{"role": "volunteer", "content": "any others?", "session_id": 106, "sequence_id": 290, "annotations": []}
{"role": "student", "content": "I struggle with anything related to graphs or maybe I think its just math", "session_id": 106, "sequence_id": 291, "annotations": []}
{"role": "student", "content": "I miss taking algebra classes", "session_id": 106, "sequence_id": 292, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 106, "sequence_id": 293, "annotations": []}
{"role": "volunteer", "content": "I am here to help", "session_id": 106, "sequence_id": 294, "annotations": []}
{"role": "volunteer", "content": "How does E differ from A?", "session_id": 106, "sequence_id": 295, "annotations": []}
{"role": "student", "content": "I think it moves just down 1", "session_id": 106, "sequence_id": 296, "annotations": []}
{"role": "volunteer", "content": "Yes", "session_id": 106, "sequence_id": 297, "annotations": []}
{"role": "volunteer", "content": "good", "session_id": 106, "sequence_id": 298, "annotations": []}
{"role": "volunteer", "content": "and it is still not decaying OK?", "session_id": 106, "sequence_id": 299, "annotations": []}
{"role": "student", "content": "not decaying", "session_id": 106, "sequence_id": 300, "annotations": []}
{"role": "volunteer", "content": "so E i snot decaying", "session_id": 106, "sequence_id": 301, "annotations": []}
{"role": "volunteer", "content": "Can we eliminate E too?", "session_id": 106, "sequence_id": 302, "annotations": []}
{"role": "student", "content": "yes", "session_id": 106, "sequence_id": 303, "annotations": []}
{"role": "volunteer", "content": "good", "session_id": 106, "sequence_id": 304, "annotations": []}
{"role": "volunteer", "content": "Now what do u thin about C ?", "session_id": 106, "sequence_id": 305, "annotations": []}
{"role": "student", "content": "not sure", "session_id": 106, "sequence_id": 306, "annotations": []}
{"role": "volunteer", "content": "OK I will write here: y = -(3^x) I think that is what C means", "session_id": 106, "sequence_id": 307, "annotations": []}
{"role": "volunteer", "content": "it is A with a miuns in front", "session_id": 106, "sequence_id": 308, "annotations": []}
{"role": "volunteer", "content": "what does the minus do?", "session_id": 106, "sequence_id": 309, "annotations": []}
{"role": "student", "content": "reflect", "session_id": 106, "sequence_id": 310, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 106, "sequence_id": 311, "annotations": []}
{"role": "student", "content": "across the x axis", "session_id": 106, "sequence_id": 312, "annotations": []}
{"role": "volunteer", "content": "in other words", "session_id": 106, "sequence_id": 313, "annotations": []}
{"role": "volunteer", "content": "ye", "session_id": 106, "sequence_id": 314, "annotations": []}
{"role": "volunteer", "content": "so all y will be negative", "session_id": 106, "sequence_id": 315, "annotations": []}
{"role": "volunteer", "content": "does out graph have that?", "session_id": 106, "sequence_id": 316, "annotations": []}
{"role": "volunteer", "content": "our*", "session_id": 106, "sequence_id": 317, "annotations": []}
{"role": "student", "content": "no so we can cross that out", "session_id": 106, "sequence_id": 318, "annotations": []}
{"role": "volunteer", "content": "good", "session_id": 106, "sequence_id": 319, "annotations": []}
{"role": "volunteer", "content": "now let u slook at H", "session_id": 106, "sequence_id": 320, "annotations": []}
{"role": "volunteer", "content": "what do youthink about H?", "session_id": 106, "sequence_id": 321, "annotations": []}
{"role": "student", "content": "not sure how that looks like", "session_id": 106, "sequence_id": 322, "annotations": []}
{"role": "volunteer", "content": "OK remember from earlier what is 3^0 ?", "session_id": 106, "sequence_id": 323, "annotations": []}
{"role": "student", "content": "growing", "session_id": 106, "sequence_id": 324, "annotations": []}
{"role": "volunteer", "content": "I disagree", "session_id": 106, "sequence_id": 325, "annotations": []}
{"role": "volunteer", "content": "what is the exactl vlaue of 3^0  ?", "session_id": 106, "sequence_id": 326, "annotations": []}
{"role": "student", "content": "1", "session_id": 106, "sequence_id": 327, "annotations": []}
{"role": "volunteer", "content": "good", "session_id": 106, "sequence_id": 328, "annotations": []}
{"role": "volunteer", "content": "so plug x = 0 into H what do you get?", "session_id": 106, "sequence_id": 329, "annotations": []}
{"role": "student", "content": "into h?", "session_id": 106, "sequence_id": 330, "annotations": []}
{"role": "volunteer", "content": "yes plug x = 0 into the eqaution at H", "session_id": 106, "sequence_id": 331, "annotations": []}
{"role": "student", "content": "1 i assume", "session_id": 106, "sequence_id": 332, "annotations": []}
{"role": "student", "content": "not sure what you mean by h", "session_id": 106, "sequence_id": 333, "annotations": []}
{"role": "volunteer", "content": "but what abouyt the other   one in frnt?", "session_id": 106, "sequence_id": 334, "annotations": []}
{"role": "volunteer", "content": "I will write on baord", "session_id": 106, "sequence_id": 335, "annotations": []}
{"role": "volunteer", "content": "in bl;ack", "session_id": 106, "sequence_id": 336, "annotations": []}
{"role": "volunteer", "content": "see the black writing?", "session_id": 106, "sequence_id": 337, "annotations": []}
{"role": "student", "content": "yes", "session_id": 106, "sequence_id": 338, "annotations": []}
{"role": "volunteer", "content": "so when x = 0 what does H give us for y ?", "session_id": 106, "sequence_id": 339, "annotations": []}
{"role": "student", "content": "sorry im confused", "session_id": 106, "sequence_id": 340, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 106, "sequence_id": 341, "annotations": []}
{"role": "student", "content": "where are you getting h", "session_id": 106, "sequence_id": 342, "annotations": []}
{"role": "volunteer", "content": "I will add some color", "session_id": 106, "sequence_id": 343, "annotations": []}
{"role": "volunteer", "content": "do you see the pink arrow?", "session_id": 106, "sequence_id": 344, "annotations": []}
{"role": "student", "content": "yes", "session_id": 106, "sequence_id": 345, "annotations": []}
{"role": "volunteer", "content": "OK I htink that point to the formual form H  in the lsit", "session_id": 106, "sequence_id": 346, "annotations": []}
{"role": "volunteer", "content": "Do you agree?", "session_id": 106, "sequence_id": 347, "annotations": []}
{"role": "volunteer", "content": "from*", "session_id": 106, "sequence_id": 348, "annotations": []}
{"role": "volunteer", "content": "list*", "session_id": 106, "sequence_id": 349, "annotations": []}
{"role": "student", "content": "what", "session_id": 106, "sequence_id": 350, "annotations": []}
{"role": "volunteer", "content": "My eyes are not good so may be worng", "session_id": 106, "sequence_id": 351, "annotations": []}
{"role": "volunteer", "content": "the pink arrow is I think the same equation as choice H", "session_id": 106, "sequence_id": 352, "annotations": []}
{"role": "student", "content": "we are talking about b", "session_id": 106, "sequence_id": 353, "annotations": []}
{"role": "volunteer", "content": "ohh", "session_id": 106, "sequence_id": 354, "annotations": []}
{"role": "volunteer", "content": "OK I was tlaking baout sorry", "session_id": 106, "sequence_id": 355, "annotations": []}
{"role": "volunteer", "content": "OK what do u think about B ?", "session_id": 106, "sequence_id": 356, "annotations": []}
{"role": "student", "content": "wait Im seriously lost , I assume we were talking about b", "session_id": 106, "sequence_id": 357, "annotations": []}
{"role": "volunteer", "content": "OK was trying to elimnate H", "session_id": 106, "sequence_id": 358, "annotations": []}
{"role": "student", "content": "ohh okay", "session_id": 106, "sequence_id": 359, "annotations": []}
{"role": "volunteer", "content": "but we should talk about B, whic I htink might actually be the correct anser", "session_id": 106, "sequence_id": 360, "annotations": []}
{"role": "volunteer", "content": "How about we fin sh H then do B?", "session_id": 106, "sequence_id": 361, "annotations": []}
{"role": "student", "content": "yes", "session_id": 106, "sequence_id": 362, "annotations": []}
{"role": "volunteer", "content": "ok the pink arrow I added points to the equation for H am I correct?", "session_id": 106, "sequence_id": 363, "annotations": []}
{"role": "volunteer", "content": "in my black writing", "session_id": 106, "sequence_id": 364, "annotations": []}
{"role": "student", "content": "yes", "session_id": 106, "sequence_id": 365, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 106, "sequence_id": 366, "annotations": []}
{"role": "volunteer", "content": "Now I am goign to sue that equation with x = 0", "session_id": 106, "sequence_id": 367, "annotations": []}
{"role": "volunteer", "content": "what y vlaue do I get when x = 0?", "session_id": 106, "sequence_id": 368, "annotations": []}
{"role": "student", "content": "1", "session_id": 106, "sequence_id": 369, "annotations": []}
{"role": "volunteer", "content": "I disagree", "session_id": 106, "sequence_id": 370, "annotations": []}
{"role": "volunteer", "content": "pls follow what I wrote in bllack", "session_id": 106, "sequence_id": 371, "annotations": []}
{"role": "student", "content": "0", "session_id": 106, "sequence_id": 372, "annotations": []}
{"role": "volunteer", "content": "I mean the final u value", "session_id": 106, "sequence_id": 373, "annotations": []}
{"role": "volunteer", "content": "Yes", "session_id": 106, "sequence_id": 374, "annotations": []}
{"role": "volunteer", "content": "0", "session_id": 106, "sequence_id": 375, "annotations": []}
{"role": "volunteer", "content": "Now on the gprah what is the vlaue of y when x = 0?", "session_id": 106, "sequence_id": 376, "annotations": []}
{"role": "student", "content": "i dont know", "session_id": 106, "sequence_id": 377, "annotations": []}
{"role": "volunteer", "content": "OK I will corcle in red", "session_id": 106, "sequence_id": 378, "annotations": []}
{"role": "volunteer", "content": "sort of circle", "session_id": 106, "sequence_id": 379, "annotations": []}
{"role": "volunteer", "content": "I tried to circle", "session_id": 106, "sequence_id": 380, "annotations": []}
{"role": "volunteer", "content": "trhe question is what is the vlaue where it hits the y-axis?", "session_id": 106, "sequence_id": 381, "annotations": []}
{"role": "student", "content": "-1", "session_id": 106, "sequence_id": 382, "annotations": []}
{"role": "volunteer", "content": "I think it +1", "session_id": 106, "sequence_id": 383, "annotations": []}
{"role": "student", "content": "oh yeah", "session_id": 106, "sequence_id": 384, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 106, "sequence_id": 385, "annotations": []}
{"role": "volunteer", "content": "so when x = 0, y = +1", "session_id": 106, "sequence_id": 386, "annotations": []}
{"role": "volunteer", "content": "but for choice H when x = 0 y = 0", "session_id": 106, "sequence_id": 387, "annotations": []}
{"role": "volunteer", "content": "so grpah cannot go with H", "session_id": 106, "sequence_id": 388, "annotations": []}
{"role": "student", "content": "yeah its b then", "session_id": 106, "sequence_id": 389, "annotations": []}
{"role": "volunteer", "content": "Yes", "session_id": 106, "sequence_id": 390, "annotations": []}
{"role": "volunteer", "content": "we still have others but I htink it is b", "session_id": 106, "sequence_id": 391, "annotations": []}
{"role": "student", "content": "yeah because y=3^x is the growing exponential one", "session_id": 106, "sequence_id": 392, "annotations": []}
{"role": "student", "content": "and if we want the decaying one the we can just reflect it by putting a negative infront of the x", "session_id": 106, "sequence_id": 393, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 106, "sequence_id": 394, "annotations": []}
{"role": "volunteer", "content": "I agree", "session_id": 106, "sequence_id": 395, "annotations": []}
{"role": "volunteer", "content": "and we can check some vlaues", "session_id": 106, "sequence_id": 396, "annotations": []}
{"role": "volunteer", "content": "what does b give whne x = 0", "session_id": 106, "sequence_id": 397, "annotations": []}
{"role": "volunteer", "content": "?", "session_id": 106, "sequence_id": 398, "annotations": []}
{"role": "student", "content": "1", "session_id": 106, "sequence_id": 399, "annotations": []}
{"role": "volunteer", "content": "good I cricled that and it is correct", "session_id": 106, "sequence_id": 400, "annotations": []}
{"role": "volunteer", "content": "how about when x = -1?", "session_id": 106, "sequence_id": 401, "annotations": []}
{"role": "student", "content": "not sure", "session_id": 106, "sequence_id": 402, "annotations": []}
{"role": "student", "content": "how would i plug that in", "session_id": 106, "sequence_id": 403, "annotations": []}
{"role": "volunteer", "content": "OK well it is 3^-(-1) = 3^1", "session_id": 106, "sequence_id": 404, "annotations": []}
{"role": "volunteer", "content": "what is that?", "session_id": 106, "sequence_id": 405, "annotations": []}
{"role": "student", "content": "3", "session_id": 106, "sequence_id": 406, "annotations": []}
{"role": "volunteer", "content": "Yes good I will cirlce that on grpaj", "session_id": 106, "sequence_id": 407, "annotations": []}
{"role": "volunteer", "content": "well I was a litte low", "session_id": 106, "sequence_id": 408, "annotations": []}
{"role": "volunteer", "content": "but I htink you see what I mean", "session_id": 106, "sequence_id": 409, "annotations": []}
{"role": "student", "content": "yes", "session_id": 106, "sequence_id": 410, "annotations": []}
{"role": "volunteer", "content": "now how about when is very large", "session_id": 106, "sequence_id": 411, "annotations": []}
{"role": "volunteer", "content": "what happnes to b?", "session_id": 106, "sequence_id": 412, "annotations": []}
{"role": "volunteer", "content": "when x *", "session_id": 106, "sequence_id": 413, "annotations": []}
{"role": "student", "content": "not sure what you mean", "session_id": 106, "sequence_id": 414, "annotations": []}
{"role": "volunteer", "content": "OK I will write", "session_id": 106, "sequence_id": 415, "annotations": []}
{"role": "volunteer", "content": "in yell", "session_id": 106, "sequence_id": 416, "annotations": []}
{"role": "volunteer", "content": "dos that make sense", "session_id": 106, "sequence_id": 417, "annotations": []}
{"role": "volunteer", "content": "x is going to inifinty?", "session_id": 106, "sequence_id": 418, "annotations": []}
{"role": "student", "content": "yes", "session_id": 106, "sequence_id": 419, "annotations": []}
{"role": "volunteer", "content": "and where does 3^-x head in that case?", "session_id": 106, "sequence_id": 420, "annotations": []}
{"role": "student", "content": "i dont know infinity?", "session_id": 106, "sequence_id": 421, "annotations": []}
{"role": "volunteer", "content": "I disagree", "session_id": 106, "sequence_id": 422, "annotations": []}
{"role": "volunteer", "content": "try this what 3^-100", "session_id": 106, "sequence_id": 423, "annotations": []}
{"role": "volunteer", "content": "you might need calcultor", "session_id": 106, "sequence_id": 424, "annotations": []}
{"role": "student", "content": "I did gave me a bunch of decimals", "session_id": 106, "sequence_id": 425, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 106, "sequence_id": 426, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 106, "sequence_id": 427, "annotations": []}
{"role": "volunteer", "content": "it is very very small", "session_id": 106, "sequence_id": 428, "annotations": []}
{"role": "volunteer", "content": "you see as x gets big 3^-x gets small", "session_id": 106, "sequence_id": 429, "annotations": []}
{"role": "volunteer", "content": "and it *approaches* zero just as in the grpah!", "session_id": 106, "sequence_id": 430, "annotations": []}
{"role": "student", "content": "i dont understand", "session_id": 106, "sequence_id": 431, "annotations": []}
{"role": "volunteer", "content": "See the dotted orange lien at y = 0?", "session_id": 106, "sequence_id": 432, "annotations": []}
{"role": "student", "content": "yes", "session_id": 106, "sequence_id": 433, "annotations": []}
{"role": "volunteer", "content": "I mean the one built inot the grpah", "session_id": 106, "sequence_id": 434, "annotations": []}
{"role": "volunteer", "content": "ok the blue curve gets clsoer and closer to that as x gets bigger and bigger to the right", "session_id": 106, "sequence_id": 435, "annotations": []}
{"role": "student", "content": "ok...", "session_id": 106, "sequence_id": 436, "annotations": []}
{"role": "volunteer", "content": "so I htink b is correct", "session_id": 106, "sequence_id": 437, "annotations": []}
{"role": "student", "content": "ok I have two problems I wanted to work on", "session_id": 106, "sequence_id": 438, "annotations": []}
{"role": "volunteer", "content": "OK I have 20 minuites", "session_id": 106, "sequence_id": 439, "annotations": []}
{"role": "student", "content": "questions 49 and 51", "session_id": 106, "sequence_id": 440, "annotations": []}
{"role": "volunteer", "content": "I will make it a little bigger fo rmy old eyes", "session_id": 106, "sequence_id": 441, "annotations": []}
{"role": "volunteer", "content": "OK good", "session_id": 106, "sequence_id": 442, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 106, "sequence_id": 443, "annotations": []}
{"role": "volunteer", "content": "where shall we start?", "session_id": 106, "sequence_id": 444, "annotations": []}
{"role": "student", "content": "49", "session_id": 106, "sequence_id": 445, "annotations": []}
{"role": "volunteer", "content": "OK good", "session_id": 106, "sequence_id": 446, "annotations": []}
{"role": "volunteer", "content": "what do u think is general idea of 49?", "session_id": 106, "sequence_id": 447, "annotations": []}
{"role": "student", "content": "the same as the question", "session_id": 106, "sequence_id": 448, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 106, "sequence_id": 449, "annotations": []}
{"role": "student", "content": "wait", "session_id": 106, "sequence_id": 450, "annotations": []}
{"role": "student", "content": "nevermind I dont understand", "session_id": 106, "sequence_id": 451, "annotations": []}
{"role": "volunteer", "content": "OK have you heard ofr parent functions?", "session_id": 106, "sequence_id": 452, "annotations": []}
{"role": "student", "content": "yes", "session_id": 106, "sequence_id": 453, "annotations": []}
{"role": "volunteer", "content": "parent*", "session_id": 106, "sequence_id": 454, "annotations": []}
{"role": "volunteer", "content": "OK for 49 what do u think that parent function is?", "session_id": 106, "sequence_id": 455, "annotations": []}
{"role": "student", "content": "exponential", "session_id": 106, "sequence_id": 456, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 106, "sequence_id": 457, "annotations": []}
{"role": "volunteer", "content": "Yes", "session_id": 106, "sequence_id": 458, "annotations": []}
{"role": "volunteer", "content": "I think it is 3^x BUT maybe your course considers that too specific", "session_id": 106, "sequence_id": 459, "annotations": []}
{"role": "volunteer", "content": "but let us start with 3^x anyway is that OK?", "session_id": 106, "sequence_id": 460, "annotations": []}
{"role": "student", "content": "yes", "session_id": 106, "sequence_id": 461, "annotations": []}
{"role": "volunteer", "content": "OK now in gneral", "session_id": 106, "sequence_id": 462, "annotations": []}
{"role": "volunteer", "content": "if we have f(x)  and then f(x - 1)", "session_id": 106, "sequence_id": 463, "annotations": []}
{"role": "volunteer", "content": "what does the  -1  do?", "session_id": 106, "sequence_id": 464, "annotations": []}
{"role": "student", "content": "make it go to the side 1", "session_id": 106, "sequence_id": 465, "annotations": []}
{"role": "student", "content": "dont remeber", "session_id": 106, "sequence_id": 466, "annotations": []}
{"role": "volunteer", "content": "I think it shifts the grpah to the *right* by one", "session_id": 106, "sequence_id": 467, "annotations": []}
{"role": "student", "content": "ok", "session_id": 106, "sequence_id": 468, "annotations": []}
{"role": "volunteer", "content": "so if we know the shape of y = 3^x, the y = 3^(x-1) is same grpah *except* shifted rigth by one", "session_id": 106, "sequence_id": 469, "annotations": []}
{"role": "student", "content": "yes", "session_id": 106, "sequence_id": 470, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 106, "sequence_id": 471, "annotations": []}
{"role": "volunteer", "content": "so do you think now u can grpah 49 ?", "session_id": 106, "sequence_id": 472, "annotations": []}
{"role": "student", "content": "on the test we wont", "session_id": 106, "sequence_id": 473, "annotations": []}
{"role": "student", "content": "because we dont have calculators", "session_id": 106, "sequence_id": 474, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 106, "sequence_id": 475, "annotations": []}
{"role": "student", "content": "we need to do it by hnad", "session_id": 106, "sequence_id": 476, "annotations": []}
{"role": "volunteer", "content": "OK that is what I menat can u do that?", "session_id": 106, "sequence_id": 477, "annotations": []}
{"role": "student", "content": "i dont know that will look", "session_id": 106, "sequence_id": 478, "annotations": []}
{"role": "volunteer", "content": "how about y = 3^x do you know what that looks like?", "session_id": 106, "sequence_id": 479, "annotations": []}
{"role": "student", "content": "yes", "session_id": 106, "sequence_id": 480, "annotations": []}
{"role": "volunteer", "content": "ok wekk you draw that and then shift it all to the right", "session_id": 106, "sequence_id": 481, "annotations": []}
{"role": "volunteer", "content": "so what *was* at x = 0 will be at x =1", "session_id": 106, "sequence_id": 482, "annotations": []}
{"role": "volunteer", "content": "what *was* at x =1 will be at x = 2 and so on", "session_id": 106, "sequence_id": 483, "annotations": []}
{"role": "student", "content": "what so my new graph will have x=1", "session_id": 106, "sequence_id": 484, "annotations": []}
{"role": "volunteer", "content": "well you new grpah will look just liek y = 3^x excapt all ofit will shifted to the right by one unit", "session_id": 106, "sequence_id": 485, "annotations": []}
{"role": "volunteer", "content": "I know you will not be alloed to use tech", "session_id": 106, "sequence_id": 486, "annotations": []}
{"role": "volunteer", "content": "on test", "session_id": 106, "sequence_id": 487, "annotations": []}
{"role": "volunteer", "content": "but pls try tha on Desmos and/or grpahign cal jsut to see", "session_id": 106, "sequence_id": 488, "annotations": []}
{"role": "volunteer", "content": "calc*", "session_id": 106, "sequence_id": 489, "annotations": []}
{"role": "student", "content": "i did but Desmos had put it down 1", "session_id": 106, "sequence_id": 490, "annotations": []}
{"role": "volunteer", "content": "OK I will try to send you  a link", "session_id": 106, "sequence_id": 491, "annotations": []}
{"role": "volunteer", "content": "pls wait", "session_id": 106, "sequence_id": 492, "annotations": []}
{"role": "student", "content": "but i think i have an idea what it looks like", "session_id": 106, "sequence_id": 493, "annotations": []}
{"role": "volunteer", "content": "Maybe it *looks* liek ti is down 1 becuase of th right shift", "session_id": 106, "sequence_id": 494, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 106, "sequence_id": 495, "annotations": []}
{"role": "volunteer", "content": "I have time for one more", "session_id": 106, "sequence_id": 496, "annotations": []}
{"role": "volunteer", "content": "of these", "session_id": 106, "sequence_id": 497, "annotations": []}
{"role": "volunteer", "content": "should we try another?", "session_id": 106, "sequence_id": 498, "annotations": []}
{"role": "student", "content": "i need the domain", "session_id": 106, "sequence_id": 499, "annotations": []}
{"role": "student", "content": "ge", "session_id": 106, "sequence_id": 500, "annotations": []}
{"role": "volunteer", "content": "Ok sorry", "session_id": 106, "sequence_id": 501, "annotations": []}
{"role": "volunteer", "content": "I forgot", "session_id": 106, "sequence_id": 502, "annotations": []}
{"role": "volunteer", "content": "what does domain mwean?", "session_id": 106, "sequence_id": 503, "annotations": []}
{"role": "student", "content": "like the x values", "session_id": 106, "sequence_id": 504, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 106, "sequence_id": 505, "annotations": []}
{"role": "student", "content": "i think all reall numbers", "session_id": 106, "sequence_id": 506, "annotations": []}
{"role": "volunteer", "content": "for 49 are there any x's that are *not* allowed?", "session_id": 106, "sequence_id": 507, "annotations": []}
{"role": "student", "content": "but I dont know why", "session_id": 106, "sequence_id": 508, "annotations": []}
{"role": "student", "content": "i dont think so how would i know that", "session_id": 106, "sequence_id": 509, "annotations": []}
{"role": "volunteer", "content": "I think you are correct becuase all real x;s are allowed", "session_id": 106, "sequence_id": 510, "annotations": []}
{"role": "volunteer", "content": "you see there are no divide by zeros or other things that could be illegal for some x", "session_id": 106, "sequence_id": 511, "annotations": []}
{"role": "volunteer", "content": "does that help?", "session_id": 106, "sequence_id": 512, "annotations": []}
{"role": "student", "content": "no", "session_id": 106, "sequence_id": 513, "annotations": []}
{"role": "volunteer", "content": "OK wellI write domain as x-values input", "session_id": 106, "sequence_id": 514, "annotations": []}
{"role": "volunteer", "content": "to remind em that is the vlaues that we cna put IN for x", "session_id": 106, "sequence_id": 515, "annotations": []}
{"role": "volunteer", "content": "some equations like f(x) = 1/x have vlaues that we cannot put in", "session_id": 106, "sequence_id": 516, "annotations": []}
{"role": "volunteer", "content": "like x = 0 for 1/x", "session_id": 106, "sequence_id": 517, "annotations": []}
{"role": "volunteer", "content": "but the eqwuation in 49 has non of those", "session_id": 106, "sequence_id": 518, "annotations": []}
{"role": "student", "content": "so would questions like 51 have a restricting number", "session_id": 106, "sequence_id": 519, "annotations": []}
{"role": "volunteer", "content": "i do not hitn so because the x is in the exponent and *any* real exponent is ok", "session_id": 106, "sequence_id": 520, "annotations": []}
{"role": "student", "content": "Okay", "session_id": 106, "sequence_id": 521, "annotations": []}
{"role": "volunteer", "content": "here is an example f(x) = sqroot(x)", "session_id": 106, "sequence_id": 522, "annotations": []}
{"role": "student", "content": "lets continue", "session_id": 106, "sequence_id": 523, "annotations": []}
{"role": "volunteer", "content": "domain is ix x >= 0", "session_id": 106, "sequence_id": 524, "annotations": []}
{"role": "student", "content": "ohh", "session_id": 106, "sequence_id": 525, "annotations": []}
{"role": "volunteer", "content": "beucase we cannot hae sq root of neg number OK?", "session_id": 106, "sequence_id": 526, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 106, "sequence_id": 527, "annotations": []}
{"role": "volunteer", "content": "range for 49?", "session_id": 106, "sequence_id": 528, "annotations": []}
{"role": "student", "content": "i kinda understand", "session_id": 106, "sequence_id": 529, "annotations": []}
{"role": "volunteer", "content": "how about range for 49?", "session_id": 106, "sequence_id": 530, "annotations": []}
{"role": "student", "content": "- infinity to 1", "session_id": 106, "sequence_id": 531, "annotations": []}
{"role": "volunteer", "content": "I disagree", "session_id": 106, "sequence_id": 532, "annotations": []}
{"role": "volunteer", "content": "is that function every negative?", "session_id": 106, "sequence_id": 533, "annotations": []}
{"role": "volunteer", "content": "ever*", "session_id": 106, "sequence_id": 534, "annotations": []}
{"role": "student", "content": "ueah", "session_id": 106, "sequence_id": 535, "annotations": []}
{"role": "volunteer", "content": "I think that function in 49 can never have a negative vlaue for f(x)", "session_id": 106, "sequence_id": 536, "annotations": []}
{"role": "volunteer", "content": "does the grpah ever go below the y-axis?", "session_id": 106, "sequence_id": 537, "annotations": []}
{"role": "volunteer", "content": "I see it", "session_id": 106, "sequence_id": 538, "annotations": []}
{"role": "volunteer", "content": "I meant x-axis", "session_id": 106, "sequence_id": 539, "annotations": []}
{"role": "volunteer", "content": "the grpah never gloes belwo the x-axis", "session_id": 106, "sequence_id": 540, "annotations": []}
{"role": "student", "content": "its comung from the negative", "session_id": 106, "sequence_id": 541, "annotations": []}
{"role": "volunteer", "content": "those are the *x* values", "session_id": 106, "sequence_id": 542, "annotations": []}
{"role": "volunteer", "content": "but the range talsk about *y* vlaues", "session_id": 106, "sequence_id": 543, "annotations": []}
{"role": "volunteer", "content": "talks*", "session_id": 106, "sequence_id": 544, "annotations": []}
{"role": "student", "content": "ohhhh", "session_id": 106, "sequence_id": 545, "annotations": []}
{"role": "volunteer", "content": "I think the range is (0, infinity)", "session_id": 106, "sequence_id": 546, "annotations": []}
{"role": "student", "content": "why 0", "session_id": 106, "sequence_id": 547, "annotations": []}
{"role": "volunteer", "content": "the ( means it apporaches y = 0", "session_id": 106, "sequence_id": 548, "annotations": []}
{"role": "volunteer", "content": "it never gets there", "session_id": 106, "sequence_id": 549, "annotations": []}
{"role": "volunteer", "content": "if it got there I would write [0,intinity)", "session_id": 106, "sequence_id": 550, "annotations": []}
{"role": "student", "content": "not understanding", "session_id": 106, "sequence_id": 551, "annotations": []}
{"role": "volunteer", "content": "OK look at the left side of the current grpah", "session_id": 106, "sequence_id": 552, "annotations": []}
{"role": "volunteer", "content": "The grpha is very *close* to y = 0 (which is x-axis)", "session_id": 106, "sequence_id": 553, "annotations": []}
{"role": "volunteer", "content": "but in ever really gets there", "session_id": 106, "sequence_id": 554, "annotations": []}
{"role": "volunteer", "content": "I will try to circle", "session_id": 106, "sequence_id": 555, "annotations": []}
{"role": "volunteer", "content": "or point", "session_id": 106, "sequence_id": 556, "annotations": []}
{"role": "student", "content": "but the line goes through 1", "session_id": 106, "sequence_id": 557, "annotations": []}
{"role": "volunteer", "content": "Yes the it the y-intercetp", "session_id": 106, "sequence_id": 558, "annotations": []}
{"role": "volunteer", "content": "but see the \"pink\" arrow?", "session_id": 106, "sequence_id": 559, "annotations": []}
{"role": "student", "content": "yes", "session_id": 106, "sequence_id": 560, "annotations": []}
{"role": "volunteer", "content": "ok the curve is getting closer and clsoer to y = 0", "session_id": 106, "sequence_id": 561, "annotations": []}
{"role": "volunteer", "content": "that is why I wrote (0 Does that help?", "session_id": 106, "sequence_id": 562, "annotations": []}
{"role": "student", "content": "no", "session_id": 106, "sequence_id": 563, "annotations": []}
{"role": "volunteer", "content": "OK well  am out of time", "session_id": 106, "sequence_id": 564, "annotations": []}
{"role": "volunteer", "content": "pls look on the Web oseek another session", "session_id": 106, "sequence_id": 565, "annotations": []}
{"role": "volunteer", "content": "I will mark on other thing thou", "session_id": 106, "sequence_id": 566, "annotations": []}
{"role": "volunteer", "content": "thoguh", "session_id": 106, "sequence_id": 567, "annotations": []}
{"role": "student", "content": "oh no", "session_id": 106, "sequence_id": 568, "annotations": []}
{"role": "volunteer", "content": "The  grren arrow points to the -intercept", "session_id": 106, "sequence_id": 569, "annotations": []}
{"role": "volunteer", "content": "y-intercept", "session_id": 106, "sequence_id": 570, "annotations": []}
{"role": "volunteer", "content": "which is 1", "session_id": 106, "sequence_id": 571, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 106, "sequence_id": 572, "annotations": []}
{"role": "volunteer", "content": "and horiz asy i y = 0", "session_id": 106, "sequence_id": 573, "annotations": []}
{"role": "volunteer", "content": "is*", "session_id": 106, "sequence_id": 574, "annotations": []}
{"role": "volunteer", "content": "I will add red arrow", "session_id": 106, "sequence_id": 575, "annotations": []}
{"role": "volunteer", "content": "as the grpah goes to the left it *approaches* y = 0 so that is the asymptote.", "session_id": 106, "sequence_id": 576, "annotations": []}
{"role": "volunteer", "content": "OK?", "session_id": 106, "sequence_id": 577, "annotations": []}
{"role": "student", "content": "ok", "session_id": 106, "sequence_id": 578, "annotations": []}
{"role": "volunteer", "content": "OK imsut og", "session_id": 106, "sequence_id": 579, "annotations": []}
{"role": "volunteer", "content": "MIGHT be back aournd 9 PM Eastern", "session_id": 106, "sequence_id": 580, "annotations": []}
{"role": "volunteer", "content": "cannot promise", "session_id": 106, "sequence_id": 581, "annotations": []}
{"role": "volunteer", "content": "I hope this helped", "session_id": 106, "sequence_id": 582, "annotations": []}
{"role": "student", "content": "okkkk thank youu", "session_id": 106, "sequence_id": 583, "annotations": []}
{"role": "volunteer", "content": "BYE BYE", "session_id": 106, "sequence_id": 584, "annotations": []}
{"role": "student", "content": "byee", "session_id": 106, "sequence_id": 585, "annotations": []}
{"role": "volunteer", "content": "Jordan, The original graph on which I put the green arrow is for f(x) = 3^x. The function  f(x) = 3^(x-1) is shfited to the right by one and it has y-intercept of 1/3  (not one, as shown). If you plug x = 0 into the shifted function, you will get 3^-1, whcih equals 1/3.", "session_id": 106, "sequence_id": 586, "annotations": [{"pii_type": "PERSON", "surrogate": "Jordan", "start": 0, "end": 6}]}
{"role": "volunteer", "content": "Hello, how are you?", "session_id": 1403, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "I've got my mic on if you want to turn yours on.", "session_id": 1403, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "I cant as of right now", "session_id": 1403, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "That's OK", "session_id": 1403, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "Do you mind checking a couple questions for me", "session_id": 1403, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "Sure", "session_id": 1403, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "I see it. Uh, give me a minute to look it over.", "session_id": 1403, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "So what about B?", "session_id": 1403, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "What do you think about B as well? I do see N", "session_id": 1403, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "um,", "session_id": 1403, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "what do you think about B", "session_id": 1403, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "I'm wondering about the words without replacement.", "session_id": 1403, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "B isn't Binomial", "session_id": 1403, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "OK, can you tell me why?", "session_id": 1403, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "the trials aren't independant", "session_id": 1403, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 1403, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "Uh", "session_id": 1403, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "2 balls were randomly selected.", "session_id": 1403, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "What, what's the difference", "session_id": 1403, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "Why do you say um they aren't independent.", "session_id": 1403, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "on the first draw of red the probability is 3/5", "session_id": 1403, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "so on the second draw it would be", "session_id": 1403, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "2/4", "session_id": 1403, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "So", "session_id": 1403, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "um, what about D? Doesn't that have the same problem?", "session_id": 1403, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "OK, well, I'm not sure I can say, uh, with my knowledge, if you feel D is good, uh, that's fine with me.", "session_id": 1403, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "okay", "session_id": 1403, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "All right. Let me look at this one.", "session_id": 1403, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "OK. I, that looks like you're right to me. He does look good.", "session_id": 1403, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "You're saying 4 or greater?", "session_id": 1403, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "and each has a probability of", "session_id": 1403, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "1/6", "session_id": 1403, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "Sounds good to me", "session_id": 1403, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "OK, let me read this one.", "session_id": 1403, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "OK, I agree with you, Alice", "session_id": 1403, "sequence_id": 34, "annotations": [{"pii_type": "PERSON", "surrogate": "Alice", "start": 22, "end": 27}]}
{"role": "volunteer", "content": "Mm", "session_id": 1403, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "I agree E is the answer.", "session_id": 1403, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "Can you bring that down a little bit. Um, it's cut off.", "session_id": 1403, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "There you go. Thank you", "session_id": 1403, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "Yes, D is the answer", "session_id": 1403, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "Yes, E is the answer", "session_id": 1403, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "Yes, B is the answer.", "session_id": 1403, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "okay thanks for all the help", "session_id": 1403, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "have a great day", "session_id": 1403, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "All right. Have a good day.", "session_id": 1403, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "hi!", "session_id": 2017, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "hi", "session_id": 2017, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "i wana know about sector and segment", "session_id": 2017, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "and isncirbed and centralangles", "session_id": 2017, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "okay!", "session_id": 2017, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "ill try to find it", "session_id": 2017, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "plz wait", "session_id": 2017, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "okay np!", "session_id": 2017, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "a bit laggy so be a bit more patient like 10 mins", "session_id": 2017, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "okay np!", "session_id": 2017, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "oki", "session_id": 2017, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "still trying to find", "session_id": 2017, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "its very laggy", "session_id": 2017, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "\ud83d\udc4d", "session_id": 2017, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "cant you help me find  findind circumfernce and arc lenght too", "session_id": 2017, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "we can start a bit later im a bit lagy", "session_id": 2017, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "okay!", "session_id": 2017, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "sorry though i'm not free anymore i have to go now", "session_id": 2017, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "hi", "session_id": 2623, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "heloo", "session_id": 2623, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "what do you need help with?", "session_id": 2623, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "we can be doing", "session_id": 2623, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "central angles and inscred angle", "session_id": 2623, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "and power of the point theorem ( secant secant tanget etc etc.)", "session_id": 2623, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "ok! Should I give you some questions?", "session_id": 2623, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "yea", "session_id": 2623, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "A central angle measures x + 20\u00b0 and intercepts an arc measuring 3x \u2212 10\u00b0.", "session_id": 2623, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "Can you try finding X?", "session_id": 2623, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "5", "session_id": 2623, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "x is 5", "session_id": 2623, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "ok! your steps are very good. There is just a minor mistake", "session_id": 2623, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "15", "session_id": 2623, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "good job! that's correct.", "session_id": 2623, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "Next question:\n\nAn inscribed angle intercepts a semicircle. What is the measure of the angle?", "session_id": 2623, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "oh um 90", "session_id": 2623, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "that's correct!!", "session_id": 2623, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "lets  do this more on legnth", "session_id": 2623, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "ok let's try the question you attached", "session_id": 2623, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "but we have some asn keys", "session_id": 2623, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "i just hid it ra", "session_id": 2623, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "that's good", "session_id": 2623, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "Let's first try using the pythagorean theory to find the measures", "session_id": 2623, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "7", "session_id": 2623, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "For MP?", "session_id": 2623, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "acutally7.9", "session_id": 2623, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "so it 8", "session_id": 2623, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "yes! it is 8", "session_id": 2623, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "its b", "session_id": 2623, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "2 is a", "session_id": 2623, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "its 2", "session_id": 2623, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "bc if total is 8 since all are da same", "session_id": 2623, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "we minus 8 adn 6", "session_id": 2623, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "that's right! good jobb", "session_id": 2623, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "so then what would MB be?", "session_id": 2623, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "its c", "session_id": 2623, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "bc 8-3 is 5", "session_id": 2623, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "Leo! that's very good", "session_id": 2623, "sequence_id": 38, "annotations": [{"pii_type": "PERSON", "surrogate": "Leo", "start": 0, "end": 3}]}
{"role": "volunteer", "content": "can you try getting CD?", "session_id": 2623, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "yea", "session_id": 2623, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "can you help me for a bit for this", "session_id": 2623, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "idk this part", "session_id": 2623, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 2623, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "we know that segment AB is 5", "session_id": 2623, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "but dnt tellthe asnwer", "session_id": 2623, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "ok!", "session_id": 2623, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "yea 5?", "session_id": 2623, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "if we draw a line here, what would CM be?", "session_id": 2623, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "8", "session_id": 2623, "sequence_id": 49, "annotations": []}
{"role": "student", "content": "oh i get it not", "session_id": 2623, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "ok!! try the rest.", "session_id": 2623, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "square of 39", "session_id": 2623, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "yess!", "session_id": 2623, "sequence_id": 53, "annotations": []}
{"role": "student", "content": "mp", "session_id": 2623, "sequence_id": 54, "annotations": []}
{"role": "student", "content": "MP  is", "session_id": 2623, "sequence_id": 55, "annotations": []}
{"role": "student", "content": "b", "session_id": 2623, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "yes! that's good", "session_id": 2623, "sequence_id": 57, "annotations": []}
{"role": "student", "content": "the ak here is wrong", "session_id": 2623, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "you are doing really well", "session_id": 2623, "sequence_id": 59, "annotations": []}
{"role": "student", "content": "actually i used the wrong", "session_id": 2623, "sequence_id": 60, "annotations": []}
{"role": "student", "content": "when asnwering this by accident", "session_id": 2623, "sequence_id": 61, "annotations": []}
{"role": "student", "content": "ak is e", "session_id": 2623, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "ok. let's still try getting it again to double check", "session_id": 2623, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "yes!! that's right!", "session_id": 2623, "sequence_id": 64, "annotations": []}
{"role": "student", "content": "oki theres more", "session_id": 2623, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "More questions?", "session_id": 2623, "sequence_id": 66, "annotations": []}
{"role": "student", "content": "is one 40", "session_id": 2623, "sequence_id": 67, "annotations": []}
{"role": "student", "content": "and the other 84", "session_id": 2623, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "that's right!!!", "session_id": 2623, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "Do you need to go through it step by step, or is it ok?", "session_id": 2623, "sequence_id": 70, "annotations": []}
{"role": "student", "content": "the 9 is 68\\", "session_id": 2623, "sequence_id": 71, "annotations": []}
{"role": "student", "content": "10is 73", "session_id": 2623, "sequence_id": 72, "annotations": []}
{"role": "student", "content": "11 is 98", "session_id": 2623, "sequence_id": 73, "annotations": []}
{"role": "student", "content": "12 is 100", "session_id": 2623, "sequence_id": 74, "annotations": []}
{"role": "volunteer", "content": "yes! 4/4!! that's all correct", "session_id": 2623, "sequence_id": 75, "annotations": []}
{"role": "student", "content": "yay", "session_id": 2623, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "Leo", "session_id": 2623, "sequence_id": 77, "annotations": [{"pii_type": "PERSON", "surrogate": "Leo", "start": 0, "end": 3}]}
{"role": "student", "content": "wait trying to upload new", "session_id": 2623, "sequence_id": 78, "annotations": []}
{"role": "student", "content": "18is 182?", "session_id": 2623, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "close, try again!", "session_id": 2623, "sequence_id": 80, "annotations": []}
{"role": "student", "content": "17 idk pa still doing it", "session_id": 2623, "sequence_id": 81, "annotations": []}
{"role": "student", "content": "oh", "session_id": 2623, "sequence_id": 82, "annotations": []}
{"role": "volunteer", "content": "remember that all angles in a triangle should add up to 180 degrees", "session_id": 2623, "sequence_id": 83, "annotations": []}
{"role": "student", "content": "77", "session_id": 2623, "sequence_id": 84, "annotations": []}
{"role": "student", "content": "?", "session_id": 2623, "sequence_id": 85, "annotations": []}
{"role": "volunteer", "content": "yeaaa", "session_id": 2623, "sequence_id": 86, "annotations": []}
{"role": "volunteer", "content": "what about 17?", "session_id": 2623, "sequence_id": 87, "annotations": []}
{"role": "student", "content": "the 17 is 55?", "session_id": 2623, "sequence_id": 88, "annotations": []}
{"role": "volunteer", "content": "yeesss!! good job :)))", "session_id": 2623, "sequence_id": 89, "annotations": []}
{"role": "student", "content": "not sure pa", "session_id": 2623, "sequence_id": 90, "annotations": []}
{"role": "student", "content": "oh it is", "session_id": 2623, "sequence_id": 91, "annotations": []}
{"role": "student", "content": "oh...", "session_id": 2623, "sequence_id": 92, "annotations": []}
{"role": "volunteer", "content": "remember that inscribed angles intercepting the same arc are equal", "session_id": 2623, "sequence_id": 93, "annotations": []}
{"role": "student", "content": "Got it!", "session_id": 2623, "sequence_id": 94, "annotations": []}
{"role": "volunteer", "content": "yess good jobbb", "session_id": 2623, "sequence_id": 95, "annotations": []}
{"role": "student", "content": "35", "session_id": 2623, "sequence_id": 96, "annotations": []}
{"role": "volunteer", "content": "yes! can you also tell me why?", "session_id": 2623, "sequence_id": 97, "annotations": []}
{"role": "student", "content": "Its because they share the same", "session_id": 2623, "sequence_id": 98, "annotations": []}
{"role": "student", "content": "itersecting thingy ill draw it onred", "session_id": 2623, "sequence_id": 99, "annotations": []}
{"role": "volunteer", "content": "okk", "session_id": 2623, "sequence_id": 100, "annotations": []}
{"role": "volunteer", "content": "yes!! that's good!! but for 19, you can also say that x=35 because", "session_id": 2623, "sequence_id": 101, "annotations": []}
{"role": "volunteer", "content": "not just for these questions, but if you see two lines forming X like that, the angles that are looking at each other is always equal.", "session_id": 2623, "sequence_id": 102, "annotations": []}
{"role": "student", "content": "oki", "session_id": 2623, "sequence_id": 103, "annotations": []}
{"role": "student", "content": "ill upload more", "session_id": 2623, "sequence_id": 104, "annotations": []}
{"role": "volunteer", "content": "Leo did you also get number 20?", "session_id": 2623, "sequence_id": 105, "annotations": [{"pii_type": "PERSON", "surrogate": "Leo", "start": 0, "end": 3}]}
{"role": "student", "content": "50", "session_id": 2623, "sequence_id": 106, "annotations": []}
{"role": "volunteer", "content": "yea! good job!!!", "session_id": 2623, "sequence_id": 107, "annotations": []}
{"role": "student", "content": "theres one more", "session_id": 2623, "sequence_id": 108, "annotations": []}
{"role": "volunteer", "content": "ok!", "session_id": 2623, "sequence_id": 109, "annotations": []}
{"role": "student", "content": "2.3", "session_id": 2623, "sequence_id": 110, "annotations": []}
{"role": "volunteer", "content": "is that your answer?", "session_id": 2623, "sequence_id": 111, "annotations": []}
{"role": "student", "content": "yea but tis wrong", "session_id": 2623, "sequence_id": 112, "annotations": []}
{"role": "volunteer", "content": "it's okk", "session_id": 2623, "sequence_id": 113, "annotations": []}
{"role": "volunteer", "content": "let's first try finding angle p", "session_id": 2623, "sequence_id": 114, "annotations": []}
{"role": "volunteer", "content": "the pink one", "session_id": 2623, "sequence_id": 115, "annotations": []}
{"role": "student", "content": "oki", "session_id": 2623, "sequence_id": 116, "annotations": []}
{"role": "volunteer", "content": "you can write your answer in the chat", "session_id": 2623, "sequence_id": 117, "annotations": []}
{"role": "student", "content": "howd we could find the pink", "session_id": 2623, "sequence_id": 118, "annotations": []}
{"role": "volunteer", "content": "remember that", "session_id": 2623, "sequence_id": 119, "annotations": []}
{"role": "student", "content": "oki", "session_id": 2623, "sequence_id": 120, "annotations": []}
{"role": "student", "content": "2.2", "session_id": 2623, "sequence_id": 121, "annotations": []}
{"role": "volunteer", "content": "can you see the pink thing??", "session_id": 2623, "sequence_id": 122, "annotations": []}
{"role": "student", "content": "yup", "session_id": 2623, "sequence_id": 123, "annotations": []}
{"role": "volunteer", "content": "can you tell me why it's 2.2?", "session_id": 2623, "sequence_id": 124, "annotations": []}
{"role": "student", "content": "4pi/11  x 2 is 2.2", "session_id": 2623, "sequence_id": 125, "annotations": []}
{"role": "volunteer", "content": "ok, so here, radian is actually how you show angle measure in a different way", "session_id": 2623, "sequence_id": 126, "annotations": []}
{"role": "volunteer", "content": "2pi = 360", "session_id": 2623, "sequence_id": 127, "annotations": []}
{"role": "volunteer", "content": "even though, in the calculator, 2pi is about 6, that only applies when it's in the \"degree mode\"", "session_id": 2623, "sequence_id": 128, "annotations": []}
{"role": "student", "content": "oki?", "session_id": 2623, "sequence_id": 129, "annotations": []}
{"role": "student", "content": "what do we do now", "session_id": 2623, "sequence_id": 130, "annotations": []}
{"role": "volunteer", "content": "in the \"radian mode\", 2pi = 360 degree", "session_id": 2623, "sequence_id": 131, "annotations": []}
{"role": "volunteer", "content": "so it's actually simpler", "session_id": 2623, "sequence_id": 132, "annotations": []}
{"role": "student", "content": "oki", "session_id": 2623, "sequence_id": 133, "annotations": []}
{"role": "volunteer", "content": "think of pi like x", "session_id": 2623, "sequence_id": 134, "annotations": []}
{"role": "volunteer", "content": "and try multiplying 2", "session_id": 2623, "sequence_id": 135, "annotations": []}
{"role": "student", "content": "2 pi is 6 in my desmos", "session_id": 2623, "sequence_id": 136, "annotations": []}
{"role": "student", "content": "morespecifically 6.3", "session_id": 2623, "sequence_id": 137, "annotations": []}
{"role": "volunteer", "content": "that's correct, but only if it is in a degree mode.", "session_id": 2623, "sequence_id": 138, "annotations": []}
{"role": "student", "content": "oki", "session_id": 2623, "sequence_id": 139, "annotations": []}
{"role": "volunteer", "content": "In this question, it is in the radian mode", "session_id": 2623, "sequence_id": 140, "annotations": []}
{"role": "student", "content": "no", "session_id": 2623, "sequence_id": 141, "annotations": []}
{"role": "student", "content": "no, 260", "session_id": 2623, "sequence_id": 142, "annotations": []}
{"role": "volunteer", "content": "yea so pi = 260", "session_id": 2623, "sequence_id": 143, "annotations": []}
{"role": "student", "content": "whatdo we do with this info", "session_id": 2623, "sequence_id": 144, "annotations": []}
{"role": "volunteer", "content": "but first, let's think of pi as a variable \"x\"", "session_id": 2623, "sequence_id": 145, "annotations": []}
{"role": "volunteer", "content": "like that", "session_id": 2623, "sequence_id": 146, "annotations": []}
{"role": "student", "content": "2pi divided by 2", "session_id": 2623, "sequence_id": 147, "annotations": []}
{"role": "student", "content": "when divided", "session_id": 2623, "sequence_id": 148, "annotations": []}
{"role": "student", "content": "pi= 130", "session_id": 2623, "sequence_id": 149, "annotations": []}
{"role": "student", "content": "or x-130", "session_id": 2623, "sequence_id": 150, "annotations": []}
{"role": "student", "content": "i mean x=130", "session_id": 2623, "sequence_id": 151, "annotations": []}
{"role": "volunteer", "content": "pi would be 180", "session_id": 2623, "sequence_id": 152, "annotations": []}
{"role": "volunteer", "content": "360/2=180", "session_id": 2623, "sequence_id": 153, "annotations": []}
{"role": "student", "content": "huh 360/2?", "session_id": 2623, "sequence_id": 154, "annotations": []}
{"role": "student", "content": "oh", "session_id": 2623, "sequence_id": 155, "annotations": []}
{"role": "student", "content": "nvm", "session_id": 2623, "sequence_id": 156, "annotations": []}
{"role": "volunteer", "content": "but in this question, we can make it less complicated by ignoring the pi first.", "session_id": 2623, "sequence_id": 157, "annotations": []}
{"role": "student", "content": "oki", "session_id": 2623, "sequence_id": 158, "annotations": []}
{"role": "volunteer", "content": "for example, 2pi*2=4pi\n\n6pi/3=2pi", "session_id": 2623, "sequence_id": 159, "annotations": []}
{"role": "volunteer", "content": "like this", "session_id": 2623, "sequence_id": 160, "annotations": []}
{"role": "student", "content": "oki", "session_id": 2623, "sequence_id": 161, "annotations": []}
{"role": "volunteer", "content": "so can you try the same thing with 4pi/11 * 2?", "session_id": 2623, "sequence_id": 162, "annotations": []}
{"role": "student", "content": "ill try", "session_id": 2623, "sequence_id": 163, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 2623, "sequence_id": 164, "annotations": []}
{"role": "student", "content": "4pi = 22?", "session_id": 2623, "sequence_id": 165, "annotations": []}
{"role": "student", "content": "ay", "session_id": 2623, "sequence_id": 166, "annotations": []}
{"role": "student", "content": "wait", "session_id": 2623, "sequence_id": 167, "annotations": []}
{"role": "volunteer", "content": "just think like this\n\n4x/11 * 2 =?", "session_id": 2623, "sequence_id": 168, "annotations": []}
{"role": "student", "content": "huh", "session_id": 2623, "sequence_id": 169, "annotations": []}
{"role": "volunteer", "content": "think of pi as a variable", "session_id": 2623, "sequence_id": 170, "annotations": []}
{"role": "student", "content": "4x=22", "session_id": 2623, "sequence_id": 171, "annotations": []}
{"role": "student", "content": "5.5", "session_id": 2623, "sequence_id": 172, "annotations": []}
{"role": "student", "content": "wait what", "session_id": 2623, "sequence_id": 173, "annotations": []}
{"role": "volunteer", "content": "wait I will show you on the board", "session_id": 2623, "sequence_id": 174, "annotations": []}
{"role": "volunteer", "content": "if there is something like this,", "session_id": 2623, "sequence_id": 175, "annotations": []}
{"role": "student", "content": "8pi/1", "session_id": 2623, "sequence_id": 176, "annotations": []}
{"role": "student", "content": "/11", "session_id": 2623, "sequence_id": 177, "annotations": []}
{"role": "volunteer", "content": "Yesss that's perfect!", "session_id": 2623, "sequence_id": 178, "annotations": []}
{"role": "volunteer", "content": "now let's get the other angle", "session_id": 2623, "sequence_id": 179, "annotations": []}
{"role": "volunteer", "content": "what would that red angle be?", "session_id": 2623, "sequence_id": 180, "annotations": []}
{"role": "student", "content": "357.7", "session_id": 2623, "sequence_id": 181, "annotations": []}
{"role": "volunteer", "content": "can you tell me why?", "session_id": 2623, "sequence_id": 182, "annotations": []}
{"role": "student", "content": "minus 360", "session_id": 2623, "sequence_id": 183, "annotations": []}
{"role": "volunteer", "content": "you are on the right track", "session_id": 2623, "sequence_id": 184, "annotations": []}
{"role": "student", "content": "can i leave ok ra", "session_id": 2623, "sequence_id": 185, "annotations": []}
{"role": "student", "content": "i have some errands to do pa", "session_id": 2623, "sequence_id": 186, "annotations": []}
{"role": "volunteer", "content": "but remember, pi is like a variable here", "session_id": 2623, "sequence_id": 187, "annotations": []}
{"role": "student", "content": "oki", "session_id": 2623, "sequence_id": 188, "annotations": []}
{"role": "student", "content": "wait", "session_id": 2623, "sequence_id": 189, "annotations": []}
{"role": "student", "content": "i have to go na", "session_id": 2623, "sequence_id": 190, "annotations": []}
{"role": "student", "content": "bye", "session_id": 2623, "sequence_id": 191, "annotations": []}
{"role": "volunteer", "content": "okok! I hope it helped", "session_id": 2623, "sequence_id": 192, "annotations": []}
{"role": "volunteer", "content": "byee have a nice day :))", "session_id": 2623, "sequence_id": 193, "annotations": []}
{"role": "volunteer", "content": "hi", "session_id": 3290, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "hi", "session_id": 3290, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "how are you?", "session_id": 3290, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "im good", "session_id": 3290, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "great", "session_id": 3290, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "need some math help?", "session_id": 3290, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 3290, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "can you put the first question on the board?", "session_id": 3290, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "i'll upload a pic of my page", "session_id": 3290, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 3290, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "sorry if its blurry", "session_id": 3290, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "that's ok", "session_id": 3290, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "I can see it", "session_id": 3290, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "so you've been drawing the lines for the equations", "session_id": 3290, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 3290, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "i wanna check if im correct", "session_id": 3290, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "ok sure", "session_id": 3290, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "so 1 looks good, slope -2, intercept +1", "session_id": 3290, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "for 2", "session_id": 3290, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "we need a slope of 40/1 right?", "session_id": 3290, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 3290, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "so it should go UP 40 and across 1 square", "session_id": 3290, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "does your line do that?", "session_id": 3290, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "oh sorry I see it does", "session_id": 3290, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "oh ok", "session_id": 3290, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "I thought each square was 1", "session_id": 3290, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "but you've marked it right", "session_id": 3290, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "ok", "session_id": 3290, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "each square is 0.5 on x axis", "session_id": 3290, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "good work", "session_id": 3290, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "ok 3", "session_id": 3290, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "I'll be more careful", "session_id": 3290, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "ok", "session_id": 3290, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "slope is -1/3", "session_id": 3290, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "so it will go down 1 for every 3 across", "session_id": 3290, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 3290, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "so if it starts at +3 on the y axis", "session_id": 3290, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "what should it get to when x = 3 ?", "session_id": 3290, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "2?", "session_id": 3290, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "right!", "session_id": 3290, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "it should go down from 3 to 2", "session_id": 3290, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "with a change of 3 on the x axis", "session_id": 3290, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 3290, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "so your line is a bit too steep", "session_id": 3290, "sequence_id": 43, "annotations": []}
{"role": "student", "content": "oh", "session_id": 3290, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "do you want to re do it?", "session_id": 3290, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "you can do it on the screen", "session_id": 3290, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "sure", "session_id": 3290, "sequence_id": 47, "annotations": []}
{"role": "student", "content": "wait but", "session_id": 3290, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "i did go down from 3 to 2", "session_id": 3290, "sequence_id": 49, "annotations": []}
{"role": "student", "content": "and i did 3 to the right from the y axis", "session_id": 3290, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "this point is 0,3 right?", "session_id": 3290, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 3290, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "and when x=3 what value should y be?", "session_id": 3290, "sequence_id": 53, "annotations": []}
{"role": "student", "content": "2", "session_id": 3290, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "which is this point right?", "session_id": 3290, "sequence_id": 55, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 3290, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "do you want to draw the line between these 2 points?", "session_id": 3290, "sequence_id": 57, "annotations": []}
{"role": "student", "content": "ok", "session_id": 3290, "sequence_id": 58, "annotations": []}
{"role": "student", "content": "wait but", "session_id": 3290, "sequence_id": 59, "annotations": []}
{"role": "student", "content": "then it would be", "session_id": 3290, "sequence_id": 60, "annotations": []}
{"role": "student", "content": "3 to 2 which is 1", "session_id": 3290, "sequence_id": 61, "annotations": []}
{"role": "student", "content": "and then if it goes to 2", "session_id": 3290, "sequence_id": 62, "annotations": []}
{"role": "student", "content": "isn't it like making the slope like -1/2?", "session_id": 3290, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "no the slope is -1/3 when y decreases by 1", "session_id": 3290, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "when x increases by 3", "session_id": 3290, "sequence_id": 65, "annotations": []}
{"role": "student", "content": "oh", "session_id": 3290, "sequence_id": 66, "annotations": []}
{"role": "student", "content": "ohh ok", "session_id": 3290, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "do you see it now?", "session_id": 3290, "sequence_id": 68, "annotations": []}
{"role": "student", "content": "yep", "session_id": 3290, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "great!", "session_id": 3290, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "ready for #4 ?", "session_id": 3290, "sequence_id": 71, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 3290, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "ok so the units are a bit hard to read", "session_id": 3290, "sequence_id": 73, "annotations": []}
{"role": "student", "content": "it goes 120 on u", "session_id": 3290, "sequence_id": 74, "annotations": []}
{"role": "student", "content": "y*", "session_id": 3290, "sequence_id": 75, "annotations": []}
{"role": "student", "content": "and 1-5 on x", "session_id": 3290, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "so each square 120?", "session_id": 3290, "sequence_id": 77, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 3290, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "hhm", "session_id": 3290, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "is 120?", "session_id": 3290, "sequence_id": 80, "annotations": []}
{"role": "student", "content": "yes", "session_id": 3290, "sequence_id": 81, "annotations": []}
{"role": "volunteer", "content": "ok then each square above it must also be worth 120", "session_id": 3290, "sequence_id": 82, "annotations": []}
{"role": "student", "content": "ok", "session_id": 3290, "sequence_id": 83, "annotations": []}
{"role": "volunteer", "content": "so this next line will 240", "session_id": 3290, "sequence_id": 84, "annotations": []}
{"role": "volunteer", "content": "ok?", "session_id": 3290, "sequence_id": 85, "annotations": []}
{"role": "student", "content": "oh seperatd them", "session_id": 3290, "sequence_id": 86, "annotations": []}
{"role": "student", "content": "like one line in between them if that makes sense", "session_id": 3290, "sequence_id": 87, "annotations": []}
{"role": "volunteer", "content": "what will the next line be ? 240+120", "session_id": 3290, "sequence_id": 88, "annotations": []}
{"role": "student", "content": "360", "session_id": 3290, "sequence_id": 89, "annotations": []}
{"role": "volunteer", "content": "yes!", "session_id": 3290, "sequence_id": 90, "annotations": []}
{"role": "volunteer", "content": "keep going, what's the next one>", "session_id": 3290, "sequence_id": 91, "annotations": []}
{"role": "volunteer", "content": "?", "session_id": 3290, "sequence_id": 92, "annotations": []}
{"role": "student", "content": "480", "session_id": 3290, "sequence_id": 93, "annotations": []}
{"role": "volunteer", "content": "yes!", "session_id": 3290, "sequence_id": 94, "annotations": []}
{"role": "volunteer", "content": "and the next?", "session_id": 3290, "sequence_id": 95, "annotations": []}
{"role": "student", "content": "600", "session_id": 3290, "sequence_id": 96, "annotations": []}
{"role": "volunteer", "content": "right! 600 will be here", "session_id": 3290, "sequence_id": 97, "annotations": []}
{"role": "volunteer", "content": "and this is where the line crosses the y axis", "session_id": 3290, "sequence_id": 98, "annotations": []}
{"role": "student", "content": "ok", "session_id": 3290, "sequence_id": 99, "annotations": []}
{"role": "volunteer", "content": "so the line will go down from here 120 for every 1 on the x axis", "session_id": 3290, "sequence_id": 100, "annotations": []}
{"role": "student", "content": "ok", "session_id": 3290, "sequence_id": 101, "annotations": []}
{"role": "volunteer", "content": "want to draw the line now?", "session_id": 3290, "sequence_id": 102, "annotations": []}
{"role": "student", "content": "ok", "session_id": 3290, "sequence_id": 103, "annotations": []}
{"role": "volunteer", "content": "you got it!", "session_id": 3290, "sequence_id": 104, "annotations": []}
{"role": "volunteer", "content": "excellent!", "session_id": 3290, "sequence_id": 105, "annotations": []}
{"role": "volunteer", "content": "does it make more sense now?", "session_id": 3290, "sequence_id": 106, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 3290, "sequence_id": 107, "annotations": []}
{"role": "volunteer", "content": "great", "session_id": 3290, "sequence_id": 108, "annotations": []}
{"role": "volunteer", "content": "you're doing really good work", "session_id": 3290, "sequence_id": 109, "annotations": []}
{"role": "student", "content": "ok i have another homework page", "session_id": 3290, "sequence_id": 110, "annotations": []}
{"role": "volunteer", "content": "ok sure", "session_id": 3290, "sequence_id": 111, "annotations": []}
{"role": "volunteer", "content": "want to upload that one? I'll clear the board", "session_id": 3290, "sequence_id": 112, "annotations": []}
{"role": "student", "content": "ok", "session_id": 3290, "sequence_id": 113, "annotations": []}
{"role": "volunteer", "content": "ok I see it thanks", "session_id": 3290, "sequence_id": 114, "annotations": []}
{"role": "volunteer", "content": "so first one looks good, up 10 and across 3", "session_id": 3290, "sequence_id": 115, "annotations": []}
{"role": "volunteer", "content": "second I can't see too well but I think it's right", "session_id": 3290, "sequence_id": 116, "annotations": []}
{"role": "volunteer", "content": "starts at 2", "session_id": 3290, "sequence_id": 117, "annotations": []}
{"role": "volunteer", "content": "then down 3 when x does across 4", "session_id": 3290, "sequence_id": 118, "annotations": []}
{"role": "volunteer", "content": "7 looks good", "session_id": 3290, "sequence_id": 119, "annotations": []}
{"role": "volunteer", "content": "I see you have 2 for each square on the x axis", "session_id": 3290, "sequence_id": 120, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 3290, "sequence_id": 121, "annotations": []}
{"role": "volunteer", "content": "and 8 looks good too", "session_id": 3290, "sequence_id": 122, "annotations": []}
{"role": "volunteer", "content": "down 5 when x goes across 4", "session_id": 3290, "sequence_id": 123, "annotations": []}
{"role": "volunteer", "content": "excellent work!", "session_id": 3290, "sequence_id": 124, "annotations": []}
{"role": "volunteer", "content": "you're doing great!\\", "session_id": 3290, "sequence_id": 125, "annotations": []}
{"role": "student", "content": "what about 7", "session_id": 3290, "sequence_id": 126, "annotations": []}
{"role": "volunteer", "content": "yes 7 is good", "session_id": 3290, "sequence_id": 127, "annotations": []}
{"role": "volunteer", "content": "4 and across 2", "session_id": 3290, "sequence_id": 128, "annotations": []}
{"role": "student", "content": "ok", "session_id": 3290, "sequence_id": 129, "annotations": []}
{"role": "student", "content": "thats all", "session_id": 3290, "sequence_id": 130, "annotations": []}
{"role": "student", "content": "thank you", "session_id": 3290, "sequence_id": 131, "annotations": []}
{"role": "volunteer", "content": "ok great!, you're welcome", "session_id": 3290, "sequence_id": 132, "annotations": []}
{"role": "volunteer", "content": "keep up the good work", "session_id": 3290, "sequence_id": 133, "annotations": []}
{"role": "volunteer", "content": "hello", "session_id": 3430, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "Hi, I'm gonna put a picture of like a problem I just did about rationalizing and simplifying. Can you like check that if I did it right?", "session_id": 3430, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 3430, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "looks good!,...yoiu know though you could easilty check it your self by putting both in the calculator and see if they come up with the decimal number", "session_id": 3430, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "How", "session_id": 3430, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "just divide the sqrt 5 by sqrt 2 in calc", "session_id": 3430, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "1.58", "session_id": 3430, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "then put sqrt 10 diviided by 2 in calc....1.58", "session_id": 3430, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "ya done good though", "session_id": 3430, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "just gotta get the radical out of the denominator all the time", "session_id": 3430, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "I got 2.5", "session_id": 3430, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "ha,https://www.example.comy again,https://www.anothermathsite.orgybe slipped a digit like I do all the time", "session_id": 3430, "sequence_id": 11, "annotations": [{"pii_type": "URL", "surrogate": "https://www.example.com", "start": 3, "end": 26}, {"pii_type": "URL", "surrogate": "https://www.anothermathsite.org", "start": 34, "end": 65}]}
{"role": "student", "content": "I did it\u2019s not working. I don\u2019t know what we\u2019re supposed to calculate. Can you tell me?", "session_id": 3430, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "I mean, we are done with answering the problem", "session_id": 3430, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "I\u2019m asking, how do you put it into a calculator to simplify?", "session_id": 3430, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "its just that ya could check your answers by putting the unsimplified problem in the calculator and get that answer", "session_id": 3430, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "How", "session_id": 3430, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "then put in you simplified fraction in the calc and see that you get the same answer", "session_id": 3430, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "for the unsimplified one", "session_id": 3430, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "in calculator,...punch in 5 then square root it", "session_id": 3430, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "Hi Sarah", "session_id": 3468, "sequence_id": 0, "annotations": [{"pii_type": "PERSON", "surrogate": "Sarah", "start": 3, "end": 8}]}
{"role": "student", "content": "hi", "session_id": 3468, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "How are you doing", "session_id": 3468, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "im doing good you?", "session_id": 3468, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "doing good!", "session_id": 3468, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "how may i help today", "session_id": 3468, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "i want to learn something new in algebra can you do that?", "session_id": 3468, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "sure, what topic?", "session_id": 3468, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "uh any will do just want to freshen my brain before STAAR testing", "session_id": 3468, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "Alright one second", "session_id": 3468, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "ok", "session_id": 3468, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "Okay, i'm not sure if you might know this problem, tell me if it is too difficult", "session_id": 3468, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "I just searched up STARR practice problems", "session_id": 3468, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "i understand", "session_id": 3468, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "ill try to understand", "session_id": 3468, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "Okay, do you know how to approach this question", "session_id": 3468, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "no not really", "session_id": 3468, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "just one question, do you get a calculator on the STARR?", "session_id": 3468, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "uh i think its built into the test", "session_id": 3468, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "oh okay perfect", "session_id": 3468, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "so first thing i would do is check what square root of 50 is on a calculator", "session_id": 3468, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "as the last two choices are decimal answers", "session_id": 3468, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "mhm", "session_id": 3468, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "alright so square root of 50 is 7.02", "session_id": 3468, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "so not the last two", "session_id": 3468, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "Now, do you know your perfect squares?", "session_id": 3468, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "like 4 is 2*2 and 9 is 3*3", "session_id": 3468, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "uh yes and no cause i dont know why but we just started on this lesson", "session_id": 3468, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "oh ok no worries", "session_id": 3468, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "il write down them on the board", "session_id": 3468, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "does everything make sense so far", "session_id": 3468, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "yep", "session_id": 3468, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "alright so since they are perfect squares", "session_id": 3468, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "the square root of 4 is two", "session_id": 3468, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "does this kinda make sense?", "session_id": 3468, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "yeah its making sense", "session_id": 3468, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "alright, just fill in square root of 16 just so I know", "session_id": 3468, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "yes perfect!~", "session_id": 3468, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "alright, now we are able to actually simplify a square root", "session_id": 3468, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "il kinda explain this in detail", "session_id": 3468, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "or actually il give an easier example", "session_id": 3468, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "so we have the square root of 25", "session_id": 3468, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "do you see it on the board?", "session_id": 3468, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "yes", "session_id": 3468, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "alright", "session_id": 3468, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "we can change the square root of 25 to square root four times 5", "session_id": 3468, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "WAit", "session_id": 3468, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "I meant to say square root of 20, my bad", "session_id": 3468, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "but do you understand this so far", "session_id": 3468, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "these are both equivalent", "session_id": 3468, "sequence_id": 49, "annotations": []}
{"role": "student", "content": "its alr everyone makes mistakes even you did", "session_id": 3468, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "yes!", "session_id": 3468, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "alright anyways", "session_id": 3468, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "square root (4*5) can also be written as", "session_id": 3468, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "NOW", "session_id": 3468, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "Do you see the vision", "session_id": 3468, "sequence_id": 55, "annotations": []}
{"role": "student", "content": "yes", "session_id": 3468, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "alright", "session_id": 3468, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "can you write the new equation", "session_id": 3468, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "Very close!!", "session_id": 3468, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "so square root of 4 is 2", "session_id": 3468, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "so it would be 2 square root 5", "session_id": 3468, "sequence_id": 61, "annotations": []}
{"role": "student", "content": "ah cause you circled the square root 4", "session_id": 3468, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "Ye!", "session_id": 3468, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "even though one of the choices shows 2sqrt5", "session_id": 3468, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "lets still just try and find out the simplified equation", "session_id": 3468, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "I like to do this trick", "session_id": 3468, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "We can find two numbers by", "session_id": 3468, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "dividing by the perfect square root", "session_id": 3468, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "so like 50/4 and 50/9", "session_id": 3468, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "so on", "session_id": 3468, "sequence_id": 70, "annotations": []}
{"role": "student", "content": "mhm", "session_id": 3468, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "and just finding a number with no decimals", "session_id": 3468, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "do you have a calculator near you", "session_id": 3468, "sequence_id": 73, "annotations": []}
{"role": "student", "content": "uh no i dont sadly", "session_id": 3468, "sequence_id": 74, "annotations": []}
{"role": "volunteer", "content": "oh ok no worries", "session_id": 3468, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "il write it on whiteboard", "session_id": 3468, "sequence_id": 76, "annotations": []}
{"role": "student", "content": "but i can use the browser?", "session_id": 3468, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "sure", "session_id": 3468, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "can you find the perfect number that gives a number", "session_id": 3468, "sequence_id": 79, "annotations": []}
{"role": "student", "content": "that isnt a fraction", "session_id": 3468, "sequence_id": 80, "annotations": []}
{"role": "volunteer", "content": "yes!", "session_id": 3468, "sequence_id": 81, "annotations": []}
{"role": "student", "content": "could you tell me the perfect nmbers that go with 50 please?", "session_id": 3468, "sequence_id": 82, "annotations": []}
{"role": "volunteer", "content": "yeah sure Sarah explain it deeper", "session_id": 3468, "sequence_id": 83, "annotations": [{"pii_type": "PERSON", "surrogate": "Sarah", "start": 10, "end": 15}]}
{"role": "volunteer", "content": "so first number will be four", "session_id": 3468, "sequence_id": 84, "annotations": []}
{"role": "volunteer", "content": "its the first perfect square root", "session_id": 3468, "sequence_id": 85, "annotations": []}
{"role": "volunteer", "content": "that equals 12.5, so thats not it", "session_id": 3468, "sequence_id": 86, "annotations": []}
{"role": "volunteer", "content": "lets try the next", "session_id": 3468, "sequence_id": 87, "annotations": []}
{"role": "student", "content": "5?", "session_id": 3468, "sequence_id": 88, "annotations": []}
{"role": "volunteer", "content": "YES!", "session_id": 3468, "sequence_id": 89, "annotations": []}
{"role": "volunteer", "content": "so 50 divided by 25", "session_id": 3468, "sequence_id": 90, "annotations": []}
{"role": "volunteer", "content": "is two", "session_id": 3468, "sequence_id": 91, "annotations": []}
{"role": "volunteer", "content": "which means", "session_id": 3468, "sequence_id": 92, "annotations": []}
{"role": "volunteer", "content": "our new equation is", "session_id": 3468, "sequence_id": 93, "annotations": []}
{"role": "volunteer", "content": "does the new equation make sense?", "session_id": 3468, "sequence_id": 94, "annotations": []}
{"role": "student", "content": "Sarah", "session_id": 3468, "sequence_id": 95, "annotations": [{"pii_type": "PERSON", "surrogate": "Sarah", "start": 0, "end": 5}]}
{"role": "volunteer", "content": "alrigh", "session_id": 3468, "sequence_id": 96, "annotations": []}
{"role": "student", "content": "im back", "session_id": 3468, "sequence_id": 97, "annotations": []}
{"role": "volunteer", "content": "alright", "session_id": 3468, "sequence_id": 98, "annotations": []}
{"role": "volunteer", "content": "so do you understand how we got 25 and 2", "session_id": 3468, "sequence_id": 99, "annotations": []}
{"role": "student", "content": "yes", "session_id": 3468, "sequence_id": 100, "annotations": []}
{"role": "volunteer", "content": "alright perfect", "session_id": 3468, "sequence_id": 101, "annotations": []}
{"role": "volunteer", "content": "so what is the new equation?", "session_id": 3468, "sequence_id": 102, "annotations": []}
{"role": "volunteer", "content": "heres a hint", "session_id": 3468, "sequence_id": 103, "annotations": []}
{"role": "student", "content": "very obvious dont ya think?", "session_id": 3468, "sequence_id": 104, "annotations": []}
{"role": "volunteer", "content": "hmmmmmm", "session_id": 3468, "sequence_id": 105, "annotations": []}
{"role": "volunteer", "content": "Uhh not quite", "session_id": 3468, "sequence_id": 106, "annotations": []}
{"role": "volunteer", "content": "Remember our perfect squares", "session_id": 3468, "sequence_id": 107, "annotations": []}
{"role": "volunteer", "content": "Whats the square root of 25?", "session_id": 3468, "sequence_id": 108, "annotations": []}
{"role": "student", "content": "2?", "session_id": 3468, "sequence_id": 109, "annotations": []}
{"role": "student", "content": "no?", "session_id": 3468, "sequence_id": 110, "annotations": []}
{"role": "volunteer", "content": "No, its five :D", "session_id": 3468, "sequence_id": 111, "annotations": []}
{"role": "volunteer", "content": "five times five is 25", "session_id": 3468, "sequence_id": 112, "annotations": []}
{"role": "student", "content": "ah im sorry my heads hurting BAD rn so its messin with me", "session_id": 3468, "sequence_id": 113, "annotations": []}
{"role": "volunteer", "content": "No problem", "session_id": 3468, "sequence_id": 114, "annotations": []}
{"role": "volunteer", "content": "if you ever forget you can look back at the chart i made", "session_id": 3468, "sequence_id": 115, "annotations": []}
{"role": "student", "content": "cool", "session_id": 3468, "sequence_id": 116, "annotations": []}
{"role": "volunteer", "content": "anyways", "session_id": 3468, "sequence_id": 117, "annotations": []}
{"role": "volunteer", "content": "square root of 25 is 5", "session_id": 3468, "sequence_id": 118, "annotations": []}
{"role": "volunteer", "content": "then, we cant simplify square root of 2 any further", "session_id": 3468, "sequence_id": 119, "annotations": []}
{"role": "volunteer", "content": "So that would be our final answer", "session_id": 3468, "sequence_id": 120, "annotations": []}
{"role": "volunteer", "content": "Nice job!", "session_id": 3468, "sequence_id": 121, "annotations": []}
{"role": "student", "content": "did you do the confetti?", "session_id": 3468, "sequence_id": 122, "annotations": []}
{"role": "volunteer", "content": "Yes :D", "session_id": 3468, "sequence_id": 123, "annotations": []}
{"role": "student", "content": "hmm", "session_id": 3468, "sequence_id": 124, "annotations": []}
{"role": "volunteer", "content": "do you fully understand", "session_id": 3468, "sequence_id": 125, "annotations": []}
{"role": "student", "content": "yes this really hellped Mark thank you", "session_id": 3468, "sequence_id": 126, "annotations": [{"pii_type": "PERSON", "surrogate": "Mark", "start": 24, "end": 28}]}
{"role": "volunteer", "content": "alright, no problem!", "session_id": 3468, "sequence_id": 127, "annotations": []}
{"role": "volunteer", "content": "Unfortunately I have to go now", "session_id": 3468, "sequence_id": 128, "annotations": []}
{"role": "volunteer", "content": "If you need any more help, you can request a new tutor!", "session_id": 3468, "sequence_id": 129, "annotations": []}
{"role": "student", "content": "hey can you tutor me tomorrow at like idk 12:20 or so if you are free?", "session_id": 3468, "sequence_id": 130, "annotations": []}
{"role": "volunteer", "content": "Have a great rest of your day Sarah, and good luck on your STAAR test", "session_id": 3468, "sequence_id": 131, "annotations": [{"pii_type": "PERSON", "surrogate": "Sarah", "start": 30, "end": 35}]}
{"role": "volunteer", "content": "Uh, i'm not sure, maybe", "session_id": 3468, "sequence_id": 132, "annotations": []}
{"role": "volunteer", "content": "I'll have to see", "session_id": 3468, "sequence_id": 133, "annotations": []}
{"role": "student", "content": "o", "session_id": 3468, "sequence_id": 134, "annotations": []}
{"role": "student", "content": "ok", "session_id": 3468, "sequence_id": 135, "annotations": []}
{"role": "volunteer", "content": "But have a good one Sarah", "session_id": 3468, "sequence_id": 136, "annotations": [{"pii_type": "PERSON", "surrogate": "Sarah", "start": 20, "end": 25}]}
{"role": "student", "content": "you too", "session_id": 3468, "sequence_id": 137, "annotations": []}
{"role": "volunteer", "content": "Good LUCK!!", "session_id": 3468, "sequence_id": 138, "annotations": []}
{"role": "volunteer", "content": "hey!", "session_id": 10628, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "good evening", "session_id": 10628, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "hello", "session_id": 10628, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "good evening", "session_id": 10628, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "uhm I'm sorry but are you there?", "session_id": 10628, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "sorry my PC acted up", "session_id": 10628, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "but I'm here", "session_id": 10628, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "ok", "session_id": 10628, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "so what problems do you have?", "session_id": 10628, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "Ok the first problem is, \"the equation p=3s respre", "session_id": 10628, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "?", "session_id": 10628, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "wait my bad", "session_id": 10628, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "its a 8th grade math problem", "session_id": 10628, "sequence_id": 12, "annotations": [{"pii_type": "GRADE_LEVEL", "surrogate": "8th grade", "start": 6, "end": 15}]}
{"role": "student", "content": "it says \"the equation p=3s repr", "session_id": 10628, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "is that the full probelm?", "session_id": 10628, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "no", "session_id": 10628, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "represents the perimeter p of an equilateral triangle with side lenght s.", "session_id": 10628, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "Go on ...", "session_id": 10628, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "is there a proportional relationship between the perimeter and the side length of an equilateral triangle? explain thats the problem", "session_id": 10628, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "sorry I took so long to respond", "session_id": 10628, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "Yes", "session_id": 10628, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "See a proportional relationship is expressed at the equation y=kx, where y is the dependent variable, k is a constant, and x is the independent variable", "session_id": 10628, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "in this case, p corresponds to y, the value of k is 3, and s correspond to x", "session_id": 10628, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "ohh ok", "session_id": 10628, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "what's next", "session_id": 10628, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "sorry I cant really understand that much the way you explain it and I have to go now", "session_id": 10628, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "did I at least help you?", "session_id": 10628, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "yes somewhat", "session_id": 10628, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "hi what do you need help with today :)", "session_id": 16762, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "hello!", "session_id": 16762, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "hi :)", "session_id": 16762, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "i see that you need help with your homework", "session_id": 16762, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "yes", "session_id": 16762, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "the picture doesn\u2019t want to load", "session_id": 16762, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "let me try again", "session_id": 16762, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "ok great take your time", "session_id": 16762, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "ok the first question", "session_id": 16762, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "i tried to do it but im not to sure what im doing", "session_id": 16762, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "yes you are on the right track!", "session_id": 16762, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "before you do the distributive property however, you have to list allofthe givens", "session_id": 16762, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "including that AB=3(5x+1) and AC=13x+5", "session_id": 16762, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "so", "session_id": 16762, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "like that", "session_id": 16762, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "yup but dont forget to write \"AB=\" and \"AC=\"", "session_id": 16762, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "ok", "session_id": 16762, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "yes amazing!", "session_id": 16762, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "now we are trying to find what x is equal to", "session_id": 16762, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "and in order to do that we have to have AB=AC", "session_id": 16762, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "but first we need to prove that AB is equal to AC", "session_id": 16762, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "so the next line would be AB=AC, and the reasoning would be \"definition of a midpoint\"", "session_id": 16762, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "does that part make sense?", "session_id": 16762, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "a lil", "session_id": 16762, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "what part doesn't make sense? i'll try to explain it in a different way", "session_id": 16762, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "actually wait it does because", "session_id": 16762, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "right?", "session_id": 16762, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "sorry all is see is your message that says \"actually wait it does because right?\"", "session_id": 16762, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "is that what you meant to send?", "session_id": 16762, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "you dont see the work", "session_id": 16762, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "no i'm sorry i dont where on the whiteboard is it", "session_id": 16762, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "i scrolled up some", "session_id": 16762, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "i just drew a line then said AB+BC=AC", "session_id": 16762, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "i don't see the work but yes you are right!", "session_id": 16762, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "okay", "session_id": 16762, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "AB+AC=BC", "session_id": 16762, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "wait", "session_id": 16762, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "y BC and not AC", "session_id": 16762, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "aren't we on question 1?", "session_id": 16762, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "yes", "session_id": 16762, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "then it says that A is the midpoint of BC so AB and AC come together to make BC", "session_id": 16762, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "oooh ok", "session_id": 16762, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "and that is allowed because of the \"Segment Addition Postulate\" which is defined as \"if A is between BC then AB+AC=BC\"", "session_id": 16762, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "does that make sense?", "session_id": 16762, "sequence_id": 43, "annotations": []}
{"role": "student", "content": "a little more than last time", "session_id": 16762, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "ok great :)", "session_id": 16762, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "and now we are trying to solve for x correct?", "session_id": 16762, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "yes", "session_id": 16762, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "so looking at what is given to us, how would you try to solve for x", "session_id": 16762, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "ignore everything about line segments and what AB and AC are equal to", "session_id": 16762, "sequence_id": 49, "annotations": []}
{"role": "student", "content": "ok", "session_id": 16762, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "if you were just given 3(5x+1) and 13x+5, how would you solve for x", "session_id": 16762, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "13x+5=0 then i would subtract 5 and do the same on the other side", "session_id": 16762, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "ok you're on the right track", "session_id": 16762, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "but we can't assume that 13x+5 is equal to zero", "session_id": 16762, "sequence_id": 54, "annotations": []}
{"role": "student", "content": "oh", "session_id": 16762, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "for this problem we will set 3(5x+1) to be equal to 13x+5", "session_id": 16762, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "since A is the midpoint of BC that would mean that AB and AC are the same length", "session_id": 16762, "sequence_id": 57, "annotations": []}
{"role": "student", "content": "oh", "session_id": 16762, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "is that makeing sense or should i explain it in a different way?", "session_id": 16762, "sequence_id": 59, "annotations": []}
{"role": "student", "content": "soo", "session_id": 16762, "sequence_id": 60, "annotations": []}
{"role": "student", "content": "i would be", "session_id": 16762, "sequence_id": 61, "annotations": []}
{"role": "student", "content": "it*", "session_id": 16762, "sequence_id": 62, "annotations": []}
{"role": "student", "content": "15x+3=13x+5", "session_id": 16762, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "yes!", "session_id": 16762, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "and then for the proof", "session_id": 16762, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "on the statement side (after we state what is given) we would start with AB=AC, and the reasoning would be \"definition of a midpoint\"", "session_id": 16762, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "because since point A is in the middle of line segment BC that would cut it directly in half", "session_id": 16762, "sequence_id": 67, "annotations": []}
{"role": "student", "content": "the reason would be multiplication", "session_id": 16762, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "almost! after stating that AB=AC the reasoning would be the distributive property like you said before (great job with that one by the way) because to get to 15x+3 we have to distribute the 3", "session_id": 16762, "sequence_id": 69, "annotations": []}
{"role": "student", "content": "oh", "session_id": 16762, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "is something not making sense?", "session_id": 16762, "sequence_id": 71, "annotations": []}
{"role": "student", "content": "no it makes sense", "session_id": 16762, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "ok amazing!", "session_id": 16762, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "and then once you get to 13x+5=15x+3, you can solve it normally", "session_id": 16762, "sequence_id": 74, "annotations": []}
{"role": "volunteer", "content": "with the reasoning being addition, subtraction, multiplication, or division depending on what you use", "session_id": 16762, "sequence_id": 75, "annotations": []}
{"role": "student", "content": "2x=2?", "session_id": 16762, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "yes correct!!!!!", "session_id": 16762, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "so x would be equal to????", "session_id": 16762, "sequence_id": 78, "annotations": []}
{"role": "student", "content": "1", "session_id": 16762, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "yes great job you did great on this problem!", "session_id": 16762, "sequence_id": 80, "annotations": []}
{"role": "student", "content": "is the reason for that one subtraction", "session_id": 16762, "sequence_id": 81, "annotations": []}
{"role": "volunteer", "content": "yupppppp it is subtraction", "session_id": 16762, "sequence_id": 82, "annotations": []}
{"role": "student", "content": "then division for x=1", "session_id": 16762, "sequence_id": 83, "annotations": []}
{"role": "volunteer", "content": "correct!!!!", "session_id": 16762, "sequence_id": 84, "annotations": []}
{"role": "student", "content": "okok", "session_id": 16762, "sequence_id": 85, "annotations": []}
{"role": "student", "content": "yay", "session_id": 16762, "sequence_id": 86, "annotations": []}
{"role": "volunteer", "content": "you're doing amazing Springfield!!", "session_id": 16762, "sequence_id": 87, "annotations": [{"pii_type": "LOCATION", "surrogate": "Springfield", "start": 21, "end": 32}]}
{"role": "student", "content": "can we do one more", "session_id": 16762, "sequence_id": 88, "annotations": []}
{"role": "volunteer", "content": "yes Ava!", "session_id": 16762, "sequence_id": 89, "annotations": [{"pii_type": "PERSON", "surrogate": "Ava", "start": 4, "end": 7}]}
{"role": "volunteer", "content": "do you want to do #2 or a different one", "session_id": 16762, "sequence_id": 90, "annotations": []}
{"role": "student", "content": "#2", "session_id": 16762, "sequence_id": 91, "annotations": []}
{"role": "volunteer", "content": "great!", "session_id": 16762, "sequence_id": 92, "annotations": []}
{"role": "volunteer", "content": "if you don't mind could you enlarge the picture a bit please?", "session_id": 16762, "sequence_id": 93, "annotations": []}
{"role": "volunteer", "content": "great thank you!", "session_id": 16762, "sequence_id": 94, "annotations": []}
{"role": "student", "content": "np", "session_id": 16762, "sequence_id": 95, "annotations": []}
{"role": "volunteer", "content": "ok so first we will start with writing out all of our givens", "session_id": 16762, "sequence_id": 96, "annotations": []}
{"role": "student", "content": "ok one second", "session_id": 16762, "sequence_id": 97, "annotations": []}
{"role": "volunteer", "content": "take your time :)", "session_id": 16762, "sequence_id": 98, "annotations": []}
{"role": "student", "content": "ok im ready", "session_id": 16762, "sequence_id": 99, "annotations": []}
{"role": "volunteer", "content": "great :)", "session_id": 16762, "sequence_id": 100, "annotations": []}
{"role": "volunteer", "content": "so with proofs you always start with writing out all of your givens", "session_id": 16762, "sequence_id": 101, "annotations": []}
{"role": "volunteer", "content": "and then i see your work at the bottom", "session_id": 16762, "sequence_id": 102, "annotations": []}
{"role": "volunteer", "content": "it is correct and is a very good model to help visualize the question!", "session_id": 16762, "sequence_id": 103, "annotations": []}
{"role": "student", "content": "thank you", "session_id": 16762, "sequence_id": 104, "annotations": []}
{"role": "volunteer", "content": "and after we write down all of our givens we needs to find x to eventually prove that KG=9", "session_id": 16762, "sequence_id": 105, "annotations": []}
{"role": "volunteer", "content": "so it'll be a little bit different than question one but not too different", "session_id": 16762, "sequence_id": 106, "annotations": []}
{"role": "volunteer", "content": "so after we write down all of the givens", "session_id": 16762, "sequence_id": 107, "annotations": []}
{"role": "volunteer", "content": "we need to next prove that JG+KG=JK", "session_id": 16762, "sequence_id": 108, "annotations": []}
{"role": "volunteer", "content": "and we do that with the \"Segment addition postulate\"", "session_id": 16762, "sequence_id": 109, "annotations": []}
{"role": "volunteer", "content": "because since G is between J and K, JG and KG together become JK just like you drew at the bottom", "session_id": 16762, "sequence_id": 110, "annotations": []}
{"role": "volunteer", "content": "is this making sense?", "session_id": 16762, "sequence_id": 111, "annotations": []}
{"role": "student", "content": "ehhh", "session_id": 16762, "sequence_id": 112, "annotations": []}
{"role": "student", "content": "kinda", "session_id": 16762, "sequence_id": 113, "annotations": []}
{"role": "student", "content": "one second lemme reread it", "session_id": 16762, "sequence_id": 114, "annotations": []}
{"role": "volunteer", "content": "cool cool :) and if it still doesn't make sense i'll explain it in a different way", "session_id": 16762, "sequence_id": 115, "annotations": []}
{"role": "student", "content": "nope i dont understand it", "session_id": 16762, "sequence_id": 116, "annotations": []}
{"role": "volunteer", "content": "that's perfectly fine i'll explain it in a different way", "session_id": 16762, "sequence_id": 117, "annotations": []}
{"role": "volunteer", "content": "do you get why we start with writing the givens?", "session_id": 16762, "sequence_id": 118, "annotations": []}
{"role": "student", "content": "ok done", "session_id": 16762, "sequence_id": 119, "annotations": []}
{"role": "volunteer", "content": "ok so now we are trying to prove that KG is equal to 9", "session_id": 16762, "sequence_id": 120, "annotations": []}
{"role": "volunteer", "content": "and your sketch on the bottom shows that g is in the middle of j and k", "session_id": 16762, "sequence_id": 121, "annotations": []}
{"role": "volunteer", "content": "so the segments JG and GK make up JK", "session_id": 16762, "sequence_id": 122, "annotations": []}
{"role": "volunteer", "content": "do we get that?", "session_id": 16762, "sequence_id": 123, "annotations": []}
{"role": "student", "content": "yes", "session_id": 16762, "sequence_id": 124, "annotations": []}
{"role": "volunteer", "content": "great!", "session_id": 16762, "sequence_id": 125, "annotations": []}
{"role": "volunteer", "content": "so because of that we can agree that JG+KG=JK", "session_id": 16762, "sequence_id": 126, "annotations": []}
{"role": "volunteer", "content": "does that make sense?", "session_id": 16762, "sequence_id": 127, "annotations": []}
{"role": "student", "content": "yes", "session_id": 16762, "sequence_id": 128, "annotations": []}
{"role": "volunteer", "content": "great so the next statement after writing the givens will be \"JG+KG=JK\"", "session_id": 16762, "sequence_id": 129, "annotations": []}
{"role": "volunteer", "content": "and the reasoning will be the segment addition postulate", "session_id": 16762, "sequence_id": 130, "annotations": []}
{"role": "volunteer", "content": "are we doing good so far?", "session_id": 16762, "sequence_id": 131, "annotations": []}
{"role": "student", "content": "yes", "session_id": 16762, "sequence_id": 132, "annotations": []}
{"role": "volunteer", "content": "amazing!", "session_id": 16762, "sequence_id": 133, "annotations": []}
{"role": "volunteer", "content": "and then now we replace JG, KG, JK with their equations", "session_id": 16762, "sequence_id": 134, "annotations": []}
{"role": "volunteer", "content": "and the reasoning would be \"substitution", "session_id": 16762, "sequence_id": 135, "annotations": []}
{"role": "volunteer", "content": "is that making sense?", "session_id": 16762, "sequence_id": 136, "annotations": []}
{"role": "student", "content": "y do we replace", "session_id": 16762, "sequence_id": 137, "annotations": []}
{"role": "volunteer", "content": "we replace it so then we can solve for x", "session_id": 16762, "sequence_id": 138, "annotations": []}
{"role": "student", "content": "oh ok", "session_id": 16762, "sequence_id": 139, "annotations": []}
{"role": "student", "content": "so how do we replace it", "session_id": 16762, "sequence_id": 140, "annotations": []}
{"role": "student", "content": "how would that look", "session_id": 16762, "sequence_id": 141, "annotations": []}
{"role": "volunteer", "content": "instead of JG+KG=JK it would be 3(x-4/3)-2(x-19/2)=-x+25", "session_id": 16762, "sequence_id": 142, "annotations": []}
{"role": "volunteer", "content": "does that make sense?", "session_id": 16762, "sequence_id": 143, "annotations": []}
{"role": "student", "content": "and that is substitution", "session_id": 16762, "sequence_id": 144, "annotations": []}
{"role": "volunteer", "content": "yes it is substitution", "session_id": 16762, "sequence_id": 145, "annotations": []}
{"role": "student", "content": "ok", "session_id": 16762, "sequence_id": 146, "annotations": []}
{"role": "volunteer", "content": "and then from there we can solve it normally using distribution, addition, subtraction, multiplication, or division", "session_id": 16762, "sequence_id": 147, "annotations": []}
{"role": "student", "content": "so do i slove that", "session_id": 16762, "sequence_id": 148, "annotations": []}
{"role": "student", "content": "last statement", "session_id": 16762, "sequence_id": 149, "annotations": []}
{"role": "volunteer", "content": "yup", "session_id": 16762, "sequence_id": 150, "annotations": []}
{"role": "student", "content": "ok one sec", "session_id": 16762, "sequence_id": 151, "annotations": []}
{"role": "student", "content": "3x-4-2x+9=-x+25", "session_id": 16762, "sequence_id": 152, "annotations": []}
{"role": "student", "content": "?", "session_id": 16762, "sequence_id": 153, "annotations": []}
{"role": "volunteer", "content": "almost its +19 instead of +9", "session_id": 16762, "sequence_id": 154, "annotations": []}
{"role": "student", "content": "ok", "session_id": 16762, "sequence_id": 155, "annotations": []}
{"role": "volunteer", "content": "but other than that you are correct great job!!!!", "session_id": 16762, "sequence_id": 156, "annotations": []}
{"role": "student", "content": "that distribution", "session_id": 16762, "sequence_id": 157, "annotations": []}
{"role": "volunteer", "content": "yes that is distribution", "session_id": 16762, "sequence_id": 158, "annotations": []}
{"role": "volunteer", "content": "and then you just continue to solve for x afterwards", "session_id": 16762, "sequence_id": 159, "annotations": []}
{"role": "student", "content": "-6x+15=-x+25", "session_id": 16762, "sequence_id": 160, "annotations": []}
{"role": "student", "content": "addition?", "session_id": 16762, "sequence_id": 161, "annotations": []}
{"role": "volunteer", "content": "almost! it is 3x-2x=x instead of the -6x", "session_id": 16762, "sequence_id": 162, "annotations": []}
{"role": "volunteer", "content": "yes addition and subtraction since we add 19 to the -4 and subtract 2x from the 3x", "session_id": 16762, "sequence_id": 163, "annotations": []}
{"role": "student", "content": "it can be 2", "session_id": 16762, "sequence_id": 164, "annotations": []}
{"role": "volunteer", "content": "no it would be a different line for the addition and subtraction", "session_id": 16762, "sequence_id": 165, "annotations": []}
{"role": "student", "content": "i dont understand that part", "session_id": 16762, "sequence_id": 166, "annotations": []}
{"role": "volunteer", "content": "what did you mean when you said \"it can be 2\"?", "session_id": 16762, "sequence_id": 167, "annotations": []}
{"role": "student", "content": "like addition and subtraction together in the reason", "session_id": 16762, "sequence_id": 168, "annotations": []}
{"role": "volunteer", "content": "to play it safe lets not put both of them in the same reason", "session_id": 16762, "sequence_id": 169, "annotations": []}
{"role": "volunteer", "content": "put one statement with just adding and then put the reason", "session_id": 16762, "sequence_id": 170, "annotations": []}
{"role": "volunteer", "content": "and then another statement with just subtraction and then the reason", "session_id": 16762, "sequence_id": 171, "annotations": []}
{"role": "student", "content": "ok so just addition", "session_id": 16762, "sequence_id": 172, "annotations": []}
{"role": "volunteer", "content": "and then afterwards subtraction for the 3x-2x=0", "session_id": 16762, "sequence_id": 173, "annotations": []}
{"role": "student", "content": "ok", "session_id": 16762, "sequence_id": 174, "annotations": []}
{"role": "volunteer", "content": "and then after solving it x is????", "session_id": 16762, "sequence_id": 175, "annotations": []}
{"role": "student", "content": "0?", "session_id": 16762, "sequence_id": 176, "annotations": []}
{"role": "volunteer", "content": "so the equation would be\nx+15=-x+25", "session_id": 16762, "sequence_id": 177, "annotations": []}
{"role": "volunteer", "content": "so if you add x on both sides you would get", "session_id": 16762, "sequence_id": 178, "annotations": []}
{"role": "volunteer", "content": "2x+15=25", "session_id": 16762, "sequence_id": 179, "annotations": []}
{"role": "volunteer", "content": "can you solve it from there?", "session_id": 16762, "sequence_id": 180, "annotations": []}
{"role": "student", "content": "2x=10", "session_id": 16762, "sequence_id": 181, "annotations": []}
{"role": "volunteer", "content": "yes!!!", "session_id": 16762, "sequence_id": 182, "annotations": []}
{"role": "volunteer", "content": "and then x would be???", "session_id": 16762, "sequence_id": 183, "annotations": []}
{"role": "student", "content": "that\u2019s division", "session_id": 16762, "sequence_id": 184, "annotations": []}
{"role": "student", "content": "x=5", "session_id": 16762, "sequence_id": 185, "annotations": []}
{"role": "volunteer", "content": "yes amazing job!!!", "session_id": 16762, "sequence_id": 186, "annotations": []}
{"role": "volunteer", "content": "we're almost done with this problem now", "session_id": 16762, "sequence_id": 187, "annotations": []}
{"role": "volunteer", "content": "because remember we're asled to pro ve that KG is 9", "session_id": 16762, "sequence_id": 188, "annotations": []}
{"role": "volunteer", "content": "so what do we do with the fact that x=5?", "session_id": 16762, "sequence_id": 189, "annotations": []}
{"role": "student", "content": "yea", "session_id": 16762, "sequence_id": 190, "annotations": []}
{"role": "volunteer", "content": "we have to substitute the x in KG=-2(x-19/2) with x=5", "session_id": 16762, "sequence_id": 191, "annotations": []}
{"role": "volunteer", "content": "and the reasoning would be substitution", "session_id": 16762, "sequence_id": 192, "annotations": []}
{"role": "volunteer", "content": "does that make sense?", "session_id": 16762, "sequence_id": 193, "annotations": []}
{"role": "student", "content": "yes", "session_id": 16762, "sequence_id": 194, "annotations": []}
{"role": "volunteer", "content": "and then from there we keep solving until we get KG=9", "session_id": 16762, "sequence_id": 195, "annotations": []}
{"role": "student", "content": "\ud83d\ude05 this a lot", "session_id": 16762, "sequence_id": 196, "annotations": []}
{"role": "volunteer", "content": "yeah this problem was a long one", "session_id": 16762, "sequence_id": 197, "annotations": []}
{"role": "volunteer", "content": "but you powered through!", "session_id": 16762, "sequence_id": 198, "annotations": []}
{"role": "student", "content": "good thing you make it easy", "session_id": 16762, "sequence_id": 199, "annotations": []}
{"role": "volunteer", "content": "good for you!!", "session_id": 16762, "sequence_id": 200, "annotations": []}
{"role": "volunteer", "content": "aww thank you Olympia", "session_id": 16762, "sequence_id": 201, "annotations": [{"pii_type": "LOCATION", "surrogate": "Olympia", "start": 14, "end": 21}]}
{"role": "student", "content": "np!!!\ud83d\ude09", "session_id": 16762, "sequence_id": 202, "annotations": []}
{"role": "student", "content": "ok let\u2019s finish", "session_id": 16762, "sequence_id": 203, "annotations": []}
{"role": "volunteer", "content": "yup you got this!", "session_id": 16762, "sequence_id": 204, "annotations": []}
{"role": "student", "content": "so what do we do now", "session_id": 16762, "sequence_id": 205, "annotations": []}
{"role": "volunteer", "content": "you use substitution for\nKG=-2(x-19/2)", "session_id": 16762, "sequence_id": 206, "annotations": []}
{"role": "volunteer", "content": "you substitute the x for x=5", "session_id": 16762, "sequence_id": 207, "annotations": []}
{"role": "student", "content": "ok", "session_id": 16762, "sequence_id": 208, "annotations": []}
{"role": "student", "content": "one second", "session_id": 16762, "sequence_id": 209, "annotations": []}
{"role": "volunteer", "content": "yup all good take your time", "session_id": 16762, "sequence_id": 210, "annotations": []}
{"role": "student", "content": "i got a decimal", "session_id": 16762, "sequence_id": 211, "annotations": []}
{"role": "volunteer", "content": "can you walk me through what you did?", "session_id": 16762, "sequence_id": 212, "annotations": []}
{"role": "student", "content": "-2x5", "session_id": 16762, "sequence_id": 213, "annotations": []}
{"role": "student", "content": "=-10", "session_id": 16762, "sequence_id": 214, "annotations": []}
{"role": "volunteer", "content": "i see, so according to the order of operations (PEMDAS) you have to start with the equation inside the parenthases", "session_id": 16762, "sequence_id": 215, "annotations": []}
{"role": "student", "content": "then subtract-19/2", "session_id": 16762, "sequence_id": 216, "annotations": []}
{"role": "student", "content": "oh ok", "session_id": 16762, "sequence_id": 217, "annotations": []}
{"role": "volunteer", "content": "so you have to start with the\n(5-19/2) in the equation\nKG=-2(x-19/2)", "session_id": 16762, "sequence_id": 218, "annotations": []}
{"role": "student", "content": "so", "session_id": 16762, "sequence_id": 219, "annotations": []}
{"role": "student", "content": "wait no im confused", "session_id": 16762, "sequence_id": 220, "annotations": []}
{"role": "student", "content": "i add those", "session_id": 16762, "sequence_id": 221, "annotations": []}
{"role": "volunteer", "content": "ok thats fine we can take it step by step", "session_id": 16762, "sequence_id": 222, "annotations": []}
{"role": "volunteer", "content": "so we have KG=-2(5-19/2)", "session_id": 16762, "sequence_id": 223, "annotations": []}
{"role": "volunteer", "content": "so first we do 5-(19/2)", "session_id": 16762, "sequence_id": 224, "annotations": []}
{"role": "volunteer", "content": "which gives us -9/2", "session_id": 16762, "sequence_id": 225, "annotations": []}
{"role": "volunteer", "content": "do we get that?", "session_id": 16762, "sequence_id": 226, "annotations": []}
{"role": "student", "content": "yes", "session_id": 16762, "sequence_id": 227, "annotations": []}
{"role": "volunteer", "content": "so now our equation is KG=-2(-9/2)", "session_id": 16762, "sequence_id": 228, "annotations": []}
{"role": "volunteer", "content": "and then we multiply -2 and -9/2 to get 9", "session_id": 16762, "sequence_id": 229, "annotations": []}
{"role": "volunteer", "content": "so then we get KG=9", "session_id": 16762, "sequence_id": 230, "annotations": []}
{"role": "student", "content": "ooh ok", "session_id": 16762, "sequence_id": 231, "annotations": []}
{"role": "volunteer", "content": "is that all making sense?", "session_id": 16762, "sequence_id": 232, "annotations": []}
{"role": "student", "content": "yes", "session_id": 16762, "sequence_id": 233, "annotations": []}
{"role": "volunteer", "content": "great!", "session_id": 16762, "sequence_id": 234, "annotations": []}
{"role": "volunteer", "content": "you did good with this problem too!!!", "session_id": 16762, "sequence_id": 235, "annotations": []}
{"role": "volunteer", "content": "i'm proud of you!!", "session_id": 16762, "sequence_id": 236, "annotations": []}
{"role": "student", "content": "thank you", "session_id": 16762, "sequence_id": 237, "annotations": []}
{"role": "student", "content": "really", "session_id": 16762, "sequence_id": 238, "annotations": []}
{"role": "volunteer", "content": "of course :)", "session_id": 16762, "sequence_id": 239, "annotations": []}
{"role": "student", "content": "bye", "session_id": 16762, "sequence_id": 240, "annotations": []}
{"role": "volunteer", "content": "bye bye good luck with the rest of geometry :)", "session_id": 16762, "sequence_id": 241, "annotations": []}
{"role": "student", "content": "hello!", "session_id": 17299, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "hello", "session_id": 17299, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "can you check if this is correct?", "session_id": 17299, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "It's marked incorrect, isn't it?", "session_id": 17299, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "no that was my last submission", "session_id": 17299, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "i changed the number", "session_id": 17299, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "and i think this is correct", "session_id": 17299, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "is that a 26?", "session_id": 17299, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "If so, then that looks correct", "session_id": 17299, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "Is this BC, by the way?", "session_id": 17299, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "yea", "session_id": 17299, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "you are doing integration already, so early in the year.", "session_id": 17299, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "yea my school is weird", "session_id": 17299, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "are you all set now?", "session_id": 17299, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "yup :)", "session_id": 17299, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "thanks for checking", "session_id": 17299, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "OK, have a good weekend", "session_id": 17299, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "bye", "session_id": 17299, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "hello", "session_id": 17286, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "hello, are you there?", "session_id": 17286, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "I'm sorry but if I don't hear from you in a minute or two, I will have to close the session.  You can always repost your request when you have more time.", "session_id": 17286, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "hello", "session_id": 17286, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "i need help with this", "session_id": 17286, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "What rule do you think you would use for this?", "session_id": 17286, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "hello, are you there?", "session_id": 17286, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "Are you in a class?  Perhaps you should do this later when you have more time.", "session_id": 17286, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "I'm sorry but if I don't hear from you in a minute or two, I will have to close the session.  You can always repost your request when you have more time.", "session_id": 17286, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "yes", "session_id": 17286, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "hello", "session_id": 17286, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "im availabel", "session_id": 17286, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "OK, but you haven't been responding to my texts", "session_id": 17286, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "Are you really in the session now?", "session_id": 17286, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "yes", "session_id": 17286, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "sorry", "session_id": 17286, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "can you help me", "session_id": 17286, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "OK, what rule of differentiation do you need to do this derivative, do you think?", "session_id": 17286, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "not sure", "session_id": 17286, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "?", "session_id": 17286, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "It seems like you are not in the session, so I am going to close the session. Please ask your question later when you have more time", "session_id": 17286, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "Hi Marcus! How are you today?", "session_id": 13303, "sequence_id": 0, "annotations": [{"pii_type": "PERSON", "surrogate": "Marcus", "start": 3, "end": 9}]}
{"role": "student", "content": "Hello im just exploring options for tutoring, I am really struggling with recent assignments.", "session_id": 13303, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "No worries! Let me see if I could help you\u3002", "session_id": 13303, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "Would you like an example of the math?", "session_id": 13303, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "Sure! Please give me an example.", "session_id": 13303, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "Okay give me one moment", "session_id": 13303, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 13303, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "this is an example of the problems I have to solve", "session_id": 13303, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "Nice! Have you already tried these problems?", "session_id": 13303, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "Yes and I always find myself not knowing what I am doing", "session_id": 13303, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "No worries! Can you please show me your calculation on the white board? Then I can see how it is going.", "session_id": 13303, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "I don't even know where to start", "session_id": 13303, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "for example question a", "session_id": 13303, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "can you identify what operations are involved in this expression?", "session_id": 13303, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "subtraction multiplacation and exponents", "session_id": 13303, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "That is correct!", "session_id": 13303, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "I can rewrite the expression in this way, right?", "session_id": 13303, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "Yeah that makes sense", "session_id": 13303, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "can you tell me where should I start\uff1f", "session_id": 13303, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "start with multiplication because of pemdas", "session_id": 13303, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "true! can you write it out ?", "session_id": 13303, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "is that correct?", "session_id": 13303, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "YEAH! That is right!", "session_id": 13303, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "continue please", "session_id": 13303, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "That is great!", "session_id": 13303, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "Thank you", "session_id": 13303, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "You are welcome!", "session_id": 13303, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "Do you want to continue with question b?", "session_id": 13303, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "or any other one that interests you?", "session_id": 13303, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "yes please", "session_id": 13303, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "what do you know about this?", "session_id": 13303, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "I have a difficult time multiplying negative exponents", "session_id": 13303, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "No worries!", "session_id": 13303, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "do you agree this step?", "session_id": 13303, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "Yes I do", "session_id": 13303, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "how many negatives multiplied?", "session_id": 13303, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "2 negatives?", "session_id": 13303, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "Yes! That is right!", "session_id": 13303, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "2 is an even number, right?", "session_id": 13303, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "yes", "session_id": 13303, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "does that mean that it is a positive?", "session_id": 13303, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "so they can cancel out.", "session_id": 13303, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "yes! it is a positive", "session_id": 13303, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "So any even number multiplied by anther negative numebr equals a positive?", "session_id": 13303, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "any even number of negatives multiplied is positive", "session_id": 13303, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "oh okay I was just a little confused", "session_id": 13303, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "so you can simple an expression in this way", "session_id": 13303, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "Oh, that makes sense", "session_id": 13303, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "any other question?", "session_id": 13303, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "we can do f and then I will work independently", "session_id": 13303, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "Sure thing!", "session_id": 13303, "sequence_id": 50, "annotations": []}
{"role": "student", "content": "do you do 1/4 divided by -2 first?", "session_id": 13303, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "Yes! You can.", "session_id": 13303, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "because the expression involves times and divides only", "session_id": 13303, "sequence_id": 53, "annotations": []}
{"role": "student", "content": "so you can do either or first?", "session_id": 13303, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "by associative law, you can do 1/4 divided by -2 first if you want", "session_id": 13303, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "or you can do 24 * 1/4 first", "session_id": 13303, "sequence_id": 56, "annotations": []}
{"role": "student", "content": "so 1/4 divided y -2 would be -0.125?", "session_id": 13303, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "yes!", "session_id": 13303, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "-1/8", "session_id": 13303, "sequence_id": 59, "annotations": []}
{"role": "student", "content": "okay just making sure that I had that correct.", "session_id": 13303, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "please write this out on white board", "session_id": 13303, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "that is right!", "session_id": 13303, "sequence_id": 62, "annotations": []}
{"role": "student", "content": "Thats great", "session_id": 13303, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "then carry on", "session_id": 13303, "sequence_id": 64, "annotations": []}
{"role": "student", "content": "do I multiply 24 by the top and bottom?", "session_id": 13303, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "top", "session_id": 13303, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "numerator", "session_id": 13303, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "is there a - in front of the fraction?", "session_id": 13303, "sequence_id": 68, "annotations": []}
{"role": "student", "content": "yes", "session_id": 13303, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "is this clear?", "session_id": 13303, "sequence_id": 70, "annotations": []}
{"role": "student", "content": "yes", "session_id": 13303, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "That is awesome!", "session_id": 13303, "sequence_id": 72, "annotations": []}
{"role": "student", "content": "thank you so much for helping me today.", "session_id": 13303, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "No worries! You made a great progress today! Congratulations!", "session_id": 13303, "sequence_id": 74, "annotations": []}
{"role": "student", "content": "I will be back for more help, I dont know if I will get you but you are great.", "session_id": 13303, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "Thanks for your knid words! Welcome back to get more help!", "session_id": 13303, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "See you!", "session_id": 13303, "sequence_id": 77, "annotations": []}
{"role": "student", "content": "see ya", "session_id": 13303, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "Hi Ben! How are you?", "session_id": 13454, "sequence_id": 0, "annotations": [{"pii_type": "PERSON", "surrogate": "Ben", "start": 3, "end": 6}]}
{"role": "student", "content": "Hi, good, you? My questions are also on the board", "session_id": 13454, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "I'm good as well. Let me take a look", "session_id": 13454, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "Okayy", "session_id": 13454, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "I have two more after those", "session_id": 13454, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "Okay! I'm ready", "session_id": 13454, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "Do you have any idea where to start with number 1?", "session_id": 13454, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "Not really", "session_id": 13454, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "We know a polynomial of degree n has at most n-1 turning points", "session_id": 13454, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "So 8", "session_id": 13454, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "At least 8, yes!", "session_id": 13454, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "And for the local extrema, can you draw out the two possibilities of what the a function with 7 turning points could look like generally", "session_id": 13454, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "So 7?", "session_id": 13454, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "Yes there would be 7 local extrema.", "session_id": 13454, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "First, I would highlight the interval we are looking at, (-1, 3)", "session_id": 13454, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "Or draw a box around it or underline it, just so it's easier to see what portion we are looking at :)", "session_id": 13454, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "What's the highest value the orange line takes on in between the dots?", "session_id": 13454, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "1?", "session_id": 13454, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "Almost but not quite! Can you circle the highest point on the interval?", "session_id": 13454, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "I'm not sure", "session_id": 13454, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "Can you trace over the orange line from x=-1 to x=3 with your finger? Try to find the spot where your finger goes up highest on the y axis", "session_id": 13454, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "-1?", "session_id": 13454, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "Can you circle the point you think has the highest y value?", "session_id": 13454, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "0", "session_id": 13454, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "yes!", "session_id": 13454, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "very good :)", "session_id": 13454, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "Yay", "session_id": 13454, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "Do you have any ideas how to start this problem?", "session_id": 13454, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "Not really", "session_id": 13454, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "How many roots total does a fifth degree polynomial have?", "session_id": 13454, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "4?", "session_id": 13454, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "5 actually! It's the same as the degree. Like how quadratics have 2 zeros and degree 2", "session_id": 13454, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "Ohh", "session_id": 13454, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "So if we have 5 zeroes total and we are given that -4 and 1/2 are 2 of them, how many zeroes do we not know?", "session_id": 13454, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "3", "session_id": 13454, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "yes!", "session_id": 13454, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "And we know at least one of those zeros has to be non-real complex because the problem told us the polynomial has at least one non-real complex zero", "session_id": 13454, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 13454, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "Then, we remember that non-real complex zeros always come in conjugate pairs", "session_id": 13454, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "So how many of the remaining zeros have to be non-real complex?", "session_id": 13454, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "2", "session_id": 13454, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "Yes!", "session_id": 13454, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "And what about the remaining zero we don't know? Is it complex or real?", "session_id": 13454, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "Real", "session_id": 13454, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "yes! Good work", "session_id": 13454, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "Is that all?", "session_id": 13454, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "I think so", "session_id": 13454, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "Okay perfec", "session_id": 13454, "sequence_id": 47, "annotations": []}
{"role": "student", "content": "t", "session_id": 13454, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "Given the function f(x)=x^4+6x^3\u2212x^2\u221230x+4, use the Intermediate Value Theorem to decide which of the following intervals contains at least one zero.", "session_id": 13454, "sequence_id": 49, "annotations": []}
{"role": "student", "content": "Is the answer [1,2]", "session_id": 13454, "sequence_id": 50, "annotations": []}
{"role": "student", "content": "That was what I thought it was.", "session_id": 13454, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "So f(1)) is -20", "session_id": 13454, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "And f(2)) is ...", "session_id": 13454, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "4", "session_id": 13454, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "f takes on every values in between -20 and 4 between x=1 and x=2 according to the Intermediate Value Theorem", "session_id": 13454, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "0 is between -20 and 4, so there is a zero in this interval", "session_id": 13454, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "so you are correct! :)", "session_id": 13454, "sequence_id": 57, "annotations": []}
{"role": "student", "content": "Yay", "session_id": 13454, "sequence_id": 58, "annotations": []}
{"role": "student", "content": "Okay last question", "session_id": 13454, "sequence_id": 59, "annotations": []}
{"role": "student", "content": "Okay", "session_id": 13454, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "Looks good!", "session_id": 13454, "sequence_id": 61, "annotations": []}
{"role": "student", "content": "Thank you so much", "session_id": 13454, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "You are welcome :)", "session_id": 13454, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "Have a nice day! Good work today :)", "session_id": 13454, "sequence_id": 64, "annotations": []}
{"role": "student", "content": "You too, thank you", "session_id": 13454, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "Hey, I'm Maria, how are you?", "session_id": 13551, "sequence_id": 0, "annotations": [{"pii_type": "PERSON", "surrogate": "Maria", "start": 9, "end": 14}]}
{"role": "student", "content": "im great, how are you", "session_id": 13551, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "I'm great, first off, do you know what vertical angles are?", "session_id": 13551, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "yes they equal each other", "session_id": 13551, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "Great, and what do they look like?", "session_id": 13551, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "Exactly, so based off our diagram, what other angles do we know are 49 degrees", "session_id": 13551, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "those 2?", "session_id": 13551, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "Not exactly, vertical angles are opposite of each other right?", "session_id": 13551, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "What angle is opposite of our 49 degrees", "session_id": 13551, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "sorry im confused", "session_id": 13551, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "i see it now though", "session_id": 13551, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "Alright, do you know waht corresponding angles are?", "session_id": 13551, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "yes", "session_id": 13551, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "Label some corresponding angles here", "session_id": 13551, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "What do they look like first?", "session_id": 13551, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "Where would some corresponding angles be on the diagram I drew below", "session_id": 13551, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "1 on the outside and 2 is on the inside", "session_id": 13551, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "Could you label it with an angle mark", "session_id": 13551, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "Like that", "session_id": 13551, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "Great, and since they are corresponding what do we know about them", "session_id": 13551, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "they are congruent", "session_id": 13551, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "Exactly, so looking back at the diagram above, what angles are congruent there", "session_id": 13551, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "Which of those angles are corresponding?", "session_id": 13551, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "Great, what is that angle corresponding to?", "session_id": 13551, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "Perfect, any more?", "session_id": 13551, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "Which angle is that one congruent to?", "session_id": 13551, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "11y-1?", "session_id": 13551, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "Not exactly, notice the 11y-1 is cut up by another line", "session_id": 13551, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "Look at this agnle", "session_id": 13551, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "Is that angle corresponding?", "session_id": 13551, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "yes?", "session_id": 13551, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "It's directly below the 7x-23 right?", "session_id": 13551, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "the 7x-23 is congruent to 49", "session_id": 13551, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "if thats what you mean", "session_id": 13551, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "Almost! The angle is actually amde up by two different angles", "session_id": 13551, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "Not just the 49", "session_id": 13551, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "Which two are they?", "session_id": 13551, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "Sorry I was trying to erase our marks on the picture", "session_id": 13551, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "is it made up of 11y -1 and 3x?", "session_id": 13551, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "Check again, the 49 degrees is aprt of it", "session_id": 13551, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "What angle is right next to it?", "session_id": 13551, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "the 3x", "session_id": 13551, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "And now, we have to add on the 49 right?", "session_id": 13551, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "So what is the angle equal to entirely", "session_id": 13551, "sequence_id": 43, "annotations": []}
{"role": "student", "content": "3x?", "session_id": 13551, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "If it is made up of 49 and 3x, it would be these two added together right?", "session_id": 13551, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "yes it would", "session_id": 13551, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "so the whole angle would be what 49 and 3x are added together", "session_id": 13551, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "Exactly", "session_id": 13551, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "Now, look below", "session_id": 13551, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "I drew the same diagram, but I removed the line in the middle of everything", "session_id": 13551, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "Do you see how these are related much easier now?", "session_id": 13551, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "there related because their right next to eachother?", "session_id": 13551, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "Exactly, are they are just like angles 1 and 2 above right?", "session_id": 13551, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "What does this mean about them", "session_id": 13551, "sequence_id": 54, "annotations": []}
{"role": "student", "content": "they are equal?", "session_id": 13551, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "Exactly!", "session_id": 13551, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "Since, they are equal, we can write them out like that right?", "session_id": 13551, "sequence_id": 57, "annotations": []}
{"role": "student", "content": "yes", "session_id": 13551, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "Now, we can solve for x can't we?", "session_id": 13551, "sequence_id": 59, "annotations": []}
{"role": "student", "content": "so my first step is to set the equations equal", "session_id": 13551, "sequence_id": 60, "annotations": []}
{"role": "student", "content": "yes", "session_id": 13551, "sequence_id": 61, "annotations": []}
{"role": "student", "content": "we can", "session_id": 13551, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "So how would we do that", "session_id": 13551, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "We should cancel everything out until we only have x alone right?", "session_id": 13551, "sequence_id": 64, "annotations": []}
{"role": "student", "content": "yes", "session_id": 13551, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "Let's takes the +3x for example, how could we get rid of +3x", "session_id": 13551, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "If we are adding 3x, what is the opposite of addition?", "session_id": 13551, "sequence_id": 67, "annotations": []}
{"role": "student", "content": "subtraction", "session_id": 13551, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "Exactly, so adding 3x means subtracting...?", "session_id": 13551, "sequence_id": 69, "annotations": []}
{"role": "student", "content": "inverse?", "session_id": 13551, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "Exactly, what is the inverse?", "session_id": 13551, "sequence_id": 71, "annotations": []}
{"role": "student", "content": "subtracting", "session_id": 13551, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "So what do we subtract by here", "session_id": 13551, "sequence_id": 73, "annotations": []}
{"role": "student", "content": "3x", "session_id": 13551, "sequence_id": 74, "annotations": []}
{"role": "student", "content": "49=7x-23", "session_id": 13551, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "Great, so we subtract 3x from both sides", "session_id": 13551, "sequence_id": 76, "annotations": []}
{"role": "student", "content": "then you add 23", "session_id": 13551, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "Remember, what you do to one side, must be done to the other", "session_id": 13551, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "What do we have on the right side of this equation now", "session_id": 13551, "sequence_id": 79, "annotations": []}
{"role": "student", "content": "4x-23", "session_id": 13551, "sequence_id": 80, "annotations": []}
{"role": "volunteer", "content": "Now what?", "session_id": 13551, "sequence_id": 81, "annotations": []}
{"role": "student", "content": "+23", "session_id": 13551, "sequence_id": 82, "annotations": []}
{"role": "volunteer", "content": "What will this give us now on the left side?", "session_id": 13551, "sequence_id": 83, "annotations": []}
{"role": "student", "content": "72=4x", "session_id": 13551, "sequence_id": 84, "annotations": []}
{"role": "volunteer", "content": "What can we do now to figure out what 1 x is equal to", "session_id": 13551, "sequence_id": 85, "annotations": []}
{"role": "student", "content": "x is 18", "session_id": 13551, "sequence_id": 86, "annotations": []}
{"role": "volunteer", "content": "So, now we can solve for our unknown angles", "session_id": 13551, "sequence_id": 87, "annotations": []}
{"role": "volunteer", "content": "What is one of our unknown angles ?", "session_id": 13551, "sequence_id": 88, "annotations": []}
{"role": "volunteer", "content": "Looking back at the top now", "session_id": 13551, "sequence_id": 89, "annotations": []}
{"role": "volunteer", "content": "What angles ahve x in them?", "session_id": 13551, "sequence_id": 90, "annotations": []}
{"role": "student", "content": "the 7x -23", "session_id": 13551, "sequence_id": 91, "annotations": []}
{"role": "student", "content": "3x", "session_id": 13551, "sequence_id": 92, "annotations": []}
{"role": "volunteer", "content": "Great, and what is x equal to?", "session_id": 13551, "sequence_id": 93, "annotations": []}
{"role": "student", "content": "18", "session_id": 13551, "sequence_id": 94, "annotations": []}
{"role": "volunteer", "content": "So we can just plug x into these unknown angles now", "session_id": 13551, "sequence_id": 95, "annotations": []}
{"role": "volunteer", "content": "Look below, what is that 3x angle equal to", "session_id": 13551, "sequence_id": 96, "annotations": []}
{"role": "student", "content": "49?", "session_id": 13551, "sequence_id": 97, "annotations": []}
{"role": "student", "content": "or the 7x-23", "session_id": 13551, "sequence_id": 98, "annotations": []}
{"role": "volunteer", "content": "The 3x", "session_id": 13551, "sequence_id": 99, "annotations": []}
{"role": "volunteer", "content": "I drew it on lower on the board", "session_id": 13551, "sequence_id": 100, "annotations": []}
{"role": "student", "content": "i see", "session_id": 13551, "sequence_id": 101, "annotations": []}
{"role": "student", "content": "=54", "session_id": 13551, "sequence_id": 102, "annotations": []}
{"role": "volunteer", "content": "Exactly, so that hidden angle is 54 degrees right?", "session_id": 13551, "sequence_id": 103, "annotations": []}
{"role": "student", "content": "yes", "session_id": 13551, "sequence_id": 104, "annotations": []}
{"role": "volunteer", "content": "What about the 7x - 23", "session_id": 13551, "sequence_id": 105, "annotations": []}
{"role": "student", "content": "103", "session_id": 13551, "sequence_id": 106, "annotations": []}
{"role": "volunteer", "content": "Exactly, so it is degrees", "session_id": 13551, "sequence_id": 107, "annotations": []}
{"role": "volunteer", "content": "Now, what angle is still unknown?", "session_id": 13551, "sequence_id": 108, "annotations": []}
{"role": "volunteer", "content": "Looking back at the top again now", "session_id": 13551, "sequence_id": 109, "annotations": []}
{"role": "student", "content": "11y", "session_id": 13551, "sequence_id": 110, "annotations": []}
{"role": "volunteer", "content": "The 11y - 1 is missing right?", "session_id": 13551, "sequence_id": 111, "annotations": []}
{"role": "student", "content": "yes", "session_id": 13551, "sequence_id": 112, "annotations": []}
{"role": "volunteer", "content": "What angle is this angle congruent to?", "session_id": 13551, "sequence_id": 113, "annotations": []}
{"role": "student", "content": "49 and 7x-23", "session_id": 13551, "sequence_id": 114, "annotations": []}
{"role": "student", "content": "how do inkow which one is right tho", "session_id": 13551, "sequence_id": 115, "annotations": []}
{"role": "student", "content": "ones vertical and ones corresponding", "session_id": 13551, "sequence_id": 116, "annotations": []}
{"role": "student", "content": "i may be wrong", "session_id": 13551, "sequence_id": 117, "annotations": []}
{"role": "volunteer", "content": "Picture it like this, whenever you want to know what angles are congruent to one another just picture them in our normal parallel line model", "session_id": 13551, "sequence_id": 118, "annotations": []}
{"role": "student", "content": "i see it a little bit", "session_id": 13551, "sequence_id": 119, "annotations": []}
{"role": "volunteer", "content": "Always picture them, with just the two parallel lines and one line going through them", "session_id": 13551, "sequence_id": 120, "annotations": []}
{"role": "volunteer", "content": "Look below, after I removed the line that wasn't parallel, is it much easier to see what's congruent?", "session_id": 13551, "sequence_id": 121, "annotations": []}
{"role": "student", "content": "yes", "session_id": 13551, "sequence_id": 122, "annotations": []}
{"role": "volunteer", "content": "All I did was remove that line, that wasn't parallel to the ones that made up 11y - 1", "session_id": 13551, "sequence_id": 123, "annotations": []}
{"role": "student", "content": "so thats what i should doo", "session_id": 13551, "sequence_id": 124, "annotations": []}
{"role": "volunteer", "content": "Yes, it may help to imagine the lines as if it is just two parallel lines and the tranversal only", "session_id": 13551, "sequence_id": 125, "annotations": []}
{"role": "volunteer", "content": "Now, what angles are congruent to 11y - 1?", "session_id": 13551, "sequence_id": 126, "annotations": []}
{"role": "volunteer", "content": "You can use the diagram below to figure it out if you want too", "session_id": 13551, "sequence_id": 127, "annotations": []}
{"role": "student", "content": "sorry give me a minute pls'", "session_id": 13551, "sequence_id": 128, "annotations": []}
{"role": "volunteer", "content": "Sure, that's alright! Take your time", "session_id": 13551, "sequence_id": 129, "annotations": []}
{"role": "student", "content": "im back", "session_id": 13551, "sequence_id": 130, "annotations": []}
{"role": "volunteer", "content": "Great! What angle is congruent to 11y - 1?", "session_id": 13551, "sequence_id": 131, "annotations": []}
{"role": "student", "content": "7x-23?", "session_id": 13551, "sequence_id": 132, "annotations": []}
{"role": "volunteer", "content": "Note exactly, try labeling which angles are congruent to each on the diagram gram", "session_id": 13551, "sequence_id": 133, "annotations": []}
{"role": "volunteer", "content": "Or just type it out actually if you'd like", "session_id": 13551, "sequence_id": 134, "annotations": []}
{"role": "student", "content": "<2,<5. <4<7, <8 <4", "session_id": 13551, "sequence_id": 135, "annotations": []}
{"role": "student", "content": "1 5", "session_id": 13551, "sequence_id": 136, "annotations": []}
{"role": "volunteer", "content": "What does it mean for angles to be congruent?", "session_id": 13551, "sequence_id": 137, "annotations": []}
{"role": "student", "content": "they equal each other", "session_id": 13551, "sequence_id": 138, "annotations": []}
{"role": "volunteer", "content": "Exactly, which angles look like they equal each other here?", "session_id": 13551, "sequence_id": 139, "annotations": []}
{"role": "volunteer", "content": "What angles is angle 1 equal to?", "session_id": 13551, "sequence_id": 140, "annotations": []}
{"role": "student", "content": "5", "session_id": 13551, "sequence_id": 141, "annotations": []}
{"role": "student", "content": "4", "session_id": 13551, "sequence_id": 142, "annotations": []}
{"role": "student", "content": "for 6 its 7 and 2", "session_id": 13551, "sequence_id": 143, "annotations": []}
{"role": "volunteer", "content": "Anymore?", "session_id": 13551, "sequence_id": 144, "annotations": []}
{"role": "student", "content": "for 6 its 5 and 4", "session_id": 13551, "sequence_id": 145, "annotations": []}
{"role": "volunteer", "content": "Double check 6 and 4, are those equal?", "session_id": 13551, "sequence_id": 146, "annotations": []}
{"role": "student", "content": "i oput the wrong number", "session_id": 13551, "sequence_id": 147, "annotations": []}
{"role": "student", "content": "meant to put for 8 its 5 and 4", "session_id": 13551, "sequence_id": 148, "annotations": []}
{"role": "student", "content": "for 3 its 7 and 2", "session_id": 13551, "sequence_id": 149, "annotations": []}
{"role": "volunteer", "content": "Is 8 equal to any other angle?", "session_id": 13551, "sequence_id": 150, "annotations": []}
{"role": "student", "content": "No?", "session_id": 13551, "sequence_id": 151, "annotations": []}
{"role": "volunteer", "content": "Right now, we know that\n\n<8 = <5 = <4", "session_id": 13551, "sequence_id": 152, "annotations": []}
{"role": "volunteer", "content": "What did you say <4 was equal to?", "session_id": 13551, "sequence_id": 153, "annotations": []}
{"role": "student", "content": "8", "session_id": 13551, "sequence_id": 154, "annotations": []}
{"role": "student", "content": "and 1", "session_id": 13551, "sequence_id": 155, "annotations": []}
{"role": "student", "content": "i missed that 1 i thin", "session_id": 13551, "sequence_id": 156, "annotations": []}
{"role": "volunteer", "content": "Exactly, so <8 is also equal to <1 right?", "session_id": 13551, "sequence_id": 157, "annotations": []}
{"role": "volunteer", "content": "So,\n<1 = <4 = <5 = <8", "session_id": 13551, "sequence_id": 158, "annotations": []}
{"role": "volunteer", "content": "What about angle 2, what is this angle equal to?", "session_id": 13551, "sequence_id": 159, "annotations": []}
{"role": "student", "content": "3", "session_id": 13551, "sequence_id": 160, "annotations": []}
{"role": "volunteer", "content": "What else?", "session_id": 13551, "sequence_id": 161, "annotations": []}
{"role": "student", "content": "6", "session_id": 13551, "sequence_id": 162, "annotations": []}
{"role": "volunteer", "content": "Anything else?", "session_id": 13551, "sequence_id": 163, "annotations": []}
{"role": "student", "content": "and 7?", "session_id": 13551, "sequence_id": 164, "annotations": []}
{"role": "volunteer", "content": "Great! So\n<2 = <3 = <6 = <7", "session_id": 13551, "sequence_id": 165, "annotations": []}
{"role": "volunteer", "content": "If I tell you now, angle 1 is 40 degrees, what is angle 5 equal to?", "session_id": 13551, "sequence_id": 166, "annotations": []}
{"role": "student", "content": "40", "session_id": 13551, "sequence_id": 167, "annotations": []}
{"role": "student", "content": "degrees", "session_id": 13551, "sequence_id": 168, "annotations": []}
{"role": "volunteer", "content": "What other angles are 40 degrees now", "session_id": 13551, "sequence_id": 169, "annotations": []}
{"role": "volunteer", "content": "Remember, what angles is angle 1 equal to?", "session_id": 13551, "sequence_id": 170, "annotations": []}
{"role": "student", "content": "4 8", "session_id": 13551, "sequence_id": 171, "annotations": []}
{"role": "volunteer", "content": "So how many degrees would 4 and 8 be", "session_id": 13551, "sequence_id": 172, "annotations": []}
{"role": "student", "content": "40", "session_id": 13551, "sequence_id": 173, "annotations": []}
{"role": "volunteer", "content": "If tell you angle 2 is degrees, what other angles equal 125 degrees?", "session_id": 13551, "sequence_id": 174, "annotations": []}
{"role": "volunteer", "content": "Remember, what angles are equal to angle 2?", "session_id": 13551, "sequence_id": 175, "annotations": []}
{"role": "student", "content": "6 3", "session_id": 13551, "sequence_id": 176, "annotations": []}
{"role": "volunteer", "content": "What else?", "session_id": 13551, "sequence_id": 177, "annotations": []}
{"role": "student", "content": "7", "session_id": 13551, "sequence_id": 178, "annotations": []}
{"role": "volunteer", "content": "So what would they all measure?", "session_id": 13551, "sequence_id": 179, "annotations": []}
{"role": "student", "content": "125", "session_id": 13551, "sequence_id": 180, "annotations": []}
{"role": "volunteer", "content": "Now, going back to our original question", "session_id": 13551, "sequence_id": 181, "annotations": []}
{"role": "volunteer", "content": "Do you see how the angles relate to each other?", "session_id": 13551, "sequence_id": 182, "annotations": []}
{"role": "volunteer", "content": "That's our original diagram right?", "session_id": 13551, "sequence_id": 183, "annotations": []}
{"role": "student", "content": "yes", "session_id": 13551, "sequence_id": 184, "annotations": []}
{"role": "volunteer", "content": "If I remove everything else and just make it two parallel lines and one straight line", "session_id": 13551, "sequence_id": 185, "annotations": []}
{"role": "volunteer", "content": "What do you notice now?", "session_id": 13551, "sequence_id": 186, "annotations": []}
{"role": "student", "content": "there corresponding", "session_id": 13551, "sequence_id": 187, "annotations": []}
{"role": "volunteer", "content": "Exactly, so waht does it mean?", "session_id": 13551, "sequence_id": 188, "annotations": []}
{"role": "student", "content": "congruent", "session_id": 13551, "sequence_id": 189, "annotations": []}
{"role": "volunteer", "content": "And which angles are congruent exactly?", "session_id": 13551, "sequence_id": 190, "annotations": []}
{"role": "student", "content": "the top picture?", "session_id": 13551, "sequence_id": 191, "annotations": []}
{"role": "volunteer", "content": "The bottom picture", "session_id": 13551, "sequence_id": 192, "annotations": []}
{"role": "volunteer", "content": "Remember, the bottom picture is essentially if I removed one of the lines from the top picture", "session_id": 13551, "sequence_id": 193, "annotations": []}
{"role": "volunteer", "content": "Look again at the bottom picture, I am going to restore it", "session_id": 13551, "sequence_id": 194, "annotations": []}
{"role": "volunteer", "content": "They are the same now right?", "session_id": 13551, "sequence_id": 195, "annotations": []}
{"role": "student", "content": "yes", "session_id": 13551, "sequence_id": 196, "annotations": []}
{"role": "volunteer", "content": "The bottom picture and the top picture", "session_id": 13551, "sequence_id": 197, "annotations": []}
{"role": "volunteer", "content": "But If I remove that line in the middle", "session_id": 13551, "sequence_id": 198, "annotations": []}
{"role": "volunteer", "content": "Now, can you see what angles are corresponding to each other?", "session_id": 13551, "sequence_id": 199, "annotations": []}
{"role": "volunteer", "content": "Exactly, what does that mean about them", "session_id": 13551, "sequence_id": 200, "annotations": []}
{"role": "student", "content": "they are equal", "session_id": 13551, "sequence_id": 201, "annotations": []}
{"role": "volunteer", "content": "So 3x = 11y -1 right?", "session_id": 13551, "sequence_id": 202, "annotations": []}
{"role": "student", "content": "yes", "session_id": 13551, "sequence_id": 203, "annotations": []}
{"role": "volunteer", "content": "And do you remember what 3x was equal to?", "session_id": 13551, "sequence_id": 204, "annotations": []}
{"role": "student", "content": "49", "session_id": 13551, "sequence_id": 205, "annotations": []}
{"role": "student", "content": "18", "session_id": 13551, "sequence_id": 206, "annotations": []}
{"role": "student", "content": "*", "session_id": 13551, "sequence_id": 207, "annotations": []}
{"role": "volunteer", "content": "X was equal to 18 right? So what was 3x equal to?", "session_id": 13551, "sequence_id": 208, "annotations": []}
{"role": "student", "content": "49]", "session_id": 13551, "sequence_id": 209, "annotations": []}
{"role": "student", "content": "49? or yhr 7x-23", "session_id": 13551, "sequence_id": 210, "annotations": []}
{"role": "volunteer", "content": "No, if x = 18, 3x will be equal to 3 times 18 right?", "session_id": 13551, "sequence_id": 211, "annotations": []}
{"role": "student", "content": "yes]", "session_id": 13551, "sequence_id": 212, "annotations": []}
{"role": "volunteer", "content": "Remember, we solved for the angles below", "session_id": 13551, "sequence_id": 213, "annotations": []}
{"role": "volunteer", "content": "Below our diagrams, we solved for x", "session_id": 13551, "sequence_id": 214, "annotations": []}
{"role": "volunteer", "content": "7x -23 was equal to\n3x was equal to what?", "session_id": 13551, "sequence_id": 215, "annotations": []}
{"role": "student", "content": "18", "session_id": 13551, "sequence_id": 216, "annotations": []}
{"role": "volunteer", "content": "What is 18 equal to?", "session_id": 13551, "sequence_id": 217, "annotations": []}
{"role": "student", "content": "hello", "session_id": 13563, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "heyy", "session_id": 13563, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "i hope you are well", "session_id": 13563, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "what would you like me to help you with", "session_id": 13563, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "algebra i think it is", "session_id": 13563, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "I am rather confused on a formula or \"strategy\" my school has introduced", "session_id": 13563, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "and is making us use", "session_id": 13563, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "I can send screenshots of it right?", "session_id": 13563, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "definitely", "session_id": 13563, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "ok", "session_id": 13563, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "One second please", "session_id": 13563, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "take your time", "session_id": 13563, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "ok", "session_id": 13563, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "that is the main screenshot", "session_id": 13563, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "sorry if it is a bit messy", "session_id": 13563, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "the one on the bottom right is a bit neater", "session_id": 13563, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "would you prefer that?", "session_id": 13563, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "wait sorry what am i looking at", "session_id": 13563, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "lol", "session_id": 13563, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "we are supposed to find both values of x", "session_id": 13563, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "What i thought was the normal way to do this was using the quadratic equation or formula", "session_id": 13563, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "but we are supposed to do the question like in the image", "session_id": 13563, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "Ill explain", "session_id": 13563, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "as best I can what i wrote", "session_id": 13563, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "but our teachers go through everything so fast that I cant get it all", "session_id": 13563, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "1.)  find factors of a and factors of c", "session_id": 13563, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "then put a into (ax +- w)(x +- z)", "session_id": 13563, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "so in this case it would be (3x +- w)(x +- z)", "session_id": 13563, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "do you prefer typing or speech?", "session_id": 13563, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "am fine with any one your comfortable with. i understand you pretty clearly. unless you're talking about me", "session_id": 13563, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "Im just thinking speech would be faster tbh", "session_id": 13563, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "ok lets do that then", "session_id": 13563, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "alright", "session_id": 13563, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "wait i dont think i have microphone on", "session_id": 13563, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "do you have a microphone?", "session_id": 13563, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "i can hear something", "session_id": 13563, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "*mic", "session_id": 13563, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "yh i do", "session_id": 13563, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "I just turned it on", "session_id": 13563, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "ok", "session_id": 13563, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "Hello", "session_id": 13563, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "u saying anything?", "session_id": 13563, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "Hi", "session_id": 13563, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "OK", "session_id": 13563, "sequence_id": 43, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 13563, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "I don't get this. It's not at all.", "session_id": 13563, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "wait i cant hear you very well", "session_id": 13563, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "Uh better?", "session_id": 13563, "sequence_id": 47, "annotations": []}
{"role": "student", "content": "to fix the microphone quickly.", "session_id": 13563, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "Better or like still, nah.", "session_id": 13563, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "better", "session_id": 13563, "sequence_id": 50, "annotations": []}
{"role": "student", "content": "The transcript is like really bad.", "session_id": 13563, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "OK, so, um,", "session_id": 13563, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "I'm sorry, I don't understand what you", "session_id": 13563, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "help me", "session_id": 13563, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "What do you, what do you need me?", "session_id": 13563, "sequence_id": 55, "annotations": []}
{"role": "student", "content": "Um, I just like don't get exactly how to do these problems like the work is there, but", "session_id": 13563, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "Hm", "session_id": 13563, "sequence_id": 57, "annotations": []}
{"role": "student", "content": "so I just don't get um some of the steps. Like I don't know like why some of them were done.", "session_id": 13563, "sequence_id": 58, "annotations": []}
{"role": "student", "content": "but also just like", "session_id": 13563, "sequence_id": 59, "annotations": []}
{"role": "student", "content": "like it's also just not organized enough like I don't get like where this goes and like what to do with that", "session_id": 13563, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 13563, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "Um", "session_id": 13563, "sequence_id": 62, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 13563, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "I'm also still trying to like make sense of it cause", "session_id": 13563, "sequence_id": 64, "annotations": []}
{"role": "student", "content": "Like, it's, it's like a weird thing, but my school in general just makes us do like a weird math.", "session_id": 13563, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "Oh, I understand. It's just", "session_id": 13563, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "um", "session_id": 13563, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "over the place", "session_id": 13563, "sequence_id": 68, "annotations": []}
{"role": "student", "content": "Yeah.", "session_id": 13563, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "Um, but you need to give me like", "session_id": 13563, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "a minute to understand.", "session_id": 13563, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "like", "session_id": 13563, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "cause I can't explain if I don't understand.", "session_id": 13563, "sequence_id": 73, "annotations": []}
{"role": "student", "content": "OK", "session_id": 13563, "sequence_id": 74, "annotations": []}
{"role": "student", "content": "if you want to see the bottom left.", "session_id": 13563, "sequence_id": 75, "annotations": []}
{"role": "student", "content": "Uh, I can see that too.", "session_id": 13563, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "Mm", "session_id": 13563, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "I can see it", "session_id": 13563, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "very well well", "session_id": 13563, "sequence_id": 79, "annotations": []}
{"role": "student", "content": "OK", "session_id": 13563, "sequence_id": 80, "annotations": []}
{"role": "volunteer", "content": "I think you should make it like a big uh.", "session_id": 13563, "sequence_id": 81, "annotations": []}
{"role": "student", "content": "Wait", "session_id": 13563, "sequence_id": 82, "annotations": []}
{"role": "student", "content": "It's not", "session_id": 13563, "sequence_id": 83, "annotations": []}
{"role": "student", "content": "better.", "session_id": 13563, "sequence_id": 84, "annotations": []}
{"role": "volunteer", "content": "yeah", "session_id": 13563, "sequence_id": 85, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 13563, "sequence_id": 86, "annotations": []}
{"role": "volunteer", "content": "But like half of the", "session_id": 13563, "sequence_id": 87, "annotations": []}
{"role": "volunteer", "content": "thing is missing", "session_id": 13563, "sequence_id": 88, "annotations": []}
{"role": "volunteer", "content": "OK, it's fine enough", "session_id": 13563, "sequence_id": 89, "annotations": []}
{"role": "student", "content": "Like, it's out of order maybe or like all over the place, but like this is just like exactly what was on like what they were doing.", "session_id": 13563, "sequence_id": 90, "annotations": []}
{"role": "student", "content": "It's like the way they teach is like they just write", "session_id": 13563, "sequence_id": 91, "annotations": []}
{"role": "student", "content": "whatever at the front and then we just have to follow along and stuff.", "session_id": 13563, "sequence_id": 92, "annotations": []}
{"role": "volunteer", "content": "So this like you you just write to them.", "session_id": 13563, "sequence_id": 93, "annotations": []}
{"role": "student", "content": "Yeah, like this is just what they did and how they told us to do all this stuff.", "session_id": 13563, "sequence_id": 94, "annotations": []}
{"role": "volunteer", "content": "OK. And you don't understand what you're saying.", "session_id": 13563, "sequence_id": 95, "annotations": []}
{"role": "student", "content": "Yeah, I don't really get, um, a lot of this", "session_id": 13563, "sequence_id": 96, "annotations": []}
{"role": "volunteer", "content": "OK, that's fine. I just need a minute", "session_id": 13563, "sequence_id": 97, "annotations": []}
{"role": "volunteer", "content": "to", "session_id": 13563, "sequence_id": 98, "annotations": []}
{"role": "volunteer", "content": "just look at the", "session_id": 13563, "sequence_id": 99, "annotations": []}
{"role": "volunteer", "content": "fish and see what's going on.", "session_id": 13563, "sequence_id": 100, "annotations": []}
{"role": "student", "content": "OK", "session_id": 13563, "sequence_id": 101, "annotations": []}
{"role": "volunteer", "content": "OK, I think I understand now, like.", "session_id": 13563, "sequence_id": 102, "annotations": []}
{"role": "volunteer", "content": "I think I understand now.", "session_id": 13563, "sequence_id": 103, "annotations": []}
{"role": "volunteer", "content": "Mm.", "session_id": 13563, "sequence_id": 104, "annotations": []}
{"role": "volunteer", "content": "so", "session_id": 13563, "sequence_id": 105, "annotations": []}
{"role": "volunteer", "content": "and like quadratic equations.", "session_id": 13563, "sequence_id": 106, "annotations": []}
{"role": "volunteer", "content": "Can you see", "session_id": 13563, "sequence_id": 107, "annotations": []}
{"role": "volunteer", "content": "what I'm writing at the bottom.", "session_id": 13563, "sequence_id": 108, "annotations": []}
{"role": "student", "content": "Uh, yeah. Also, if I scroll, does that change the what it is on your screen or?", "session_id": 13563, "sequence_id": 109, "annotations": []}
{"role": "volunteer", "content": "No, it doesn't", "session_id": 13563, "sequence_id": 110, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 13563, "sequence_id": 111, "annotations": []}
{"role": "volunteer", "content": "So, um, basically", "session_id": 13563, "sequence_id": 112, "annotations": []}
{"role": "volunteer", "content": "a cosmetic equation.", "session_id": 13563, "sequence_id": 113, "annotations": []}
{"role": "volunteer", "content": "which is this", "session_id": 13563, "sequence_id": 114, "annotations": []}
{"role": "volunteer", "content": "right. The A", "session_id": 13563, "sequence_id": 115, "annotations": []}
{"role": "volunteer", "content": "the factors of", "session_id": 13563, "sequence_id": 116, "annotations": []}
{"role": "volunteer", "content": "A times C", "session_id": 13563, "sequence_id": 117, "annotations": []}
{"role": "volunteer", "content": "should add up to give you the.", "session_id": 13563, "sequence_id": 118, "annotations": []}
{"role": "volunteer", "content": "So", "session_id": 13563, "sequence_id": 119, "annotations": []}
{"role": "volunteer", "content": "you have to find a factor of a times c.", "session_id": 13563, "sequence_id": 120, "annotations": []}
{"role": "volunteer", "content": "That would add up to give you the.", "session_id": 13563, "sequence_id": 121, "annotations": []}
{"role": "volunteer", "content": "and", "session_id": 13563, "sequence_id": 122, "annotations": []}
{"role": "volunteer", "content": "and the question over here.", "session_id": 13563, "sequence_id": 123, "annotations": []}
{"role": "volunteer", "content": "A times C is 3 times 12, which is", "session_id": 13563, "sequence_id": 124, "annotations": []}
{"role": "volunteer", "content": "36. So we need to find factors of 36.", "session_id": 13563, "sequence_id": 125, "annotations": []}
{"role": "volunteer", "content": "that would add up to give you 2.", "session_id": 13563, "sequence_id": 126, "annotations": []}
{"role": "volunteer", "content": "So if you come to this side.", "session_id": 13563, "sequence_id": 127, "annotations": []}
{"role": "volunteer", "content": "this side", "session_id": 13563, "sequence_id": 128, "annotations": []}
{"role": "volunteer", "content": "Um", "session_id": 13563, "sequence_id": 129, "annotations": []}
{"role": "volunteer", "content": "I see that your teacher is like", "session_id": 13563, "sequence_id": 130, "annotations": []}
{"role": "volunteer", "content": "finding the factors of", "session_id": 13563, "sequence_id": 131, "annotations": []}
{"role": "volunteer", "content": "36", "session_id": 13563, "sequence_id": 132, "annotations": []}
{"role": "volunteer", "content": "and then over here, she's like", "session_id": 13563, "sequence_id": 133, "annotations": []}
{"role": "volunteer", "content": "adding them up to see which one would give you 20.", "session_id": 13563, "sequence_id": 134, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 13563, "sequence_id": 135, "annotations": []}
{"role": "volunteer", "content": "and", "session_id": 13563, "sequence_id": 136, "annotations": []}
{"role": "student", "content": "So then that one", "session_id": 13563, "sequence_id": 137, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 13563, "sequence_id": 138, "annotations": []}
{"role": "volunteer", "content": "yeah", "session_id": 13563, "sequence_id": 139, "annotations": []}
{"role": "volunteer", "content": "2.2 x 18. So that was like.", "session_id": 13563, "sequence_id": 140, "annotations": []}
{"role": "volunteer", "content": "the values of ANC that would give that would multiply.", "session_id": 13563, "sequence_id": 141, "annotations": []}
{"role": "volunteer", "content": "Wait, what am I saying? The fact is the factors of 36 that will add up to give you 20. Switches 2 and 18, and", "session_id": 13563, "sequence_id": 142, "annotations": []}
{"role": "volunteer", "content": "I'm guessing over here, there's some sort of like", "session_id": 13563, "sequence_id": 143, "annotations": []}
{"role": "volunteer", "content": "format", "session_id": 13563, "sequence_id": 144, "annotations": []}
{"role": "volunteer", "content": "like, um,", "session_id": 13563, "sequence_id": 145, "annotations": []}
{"role": "student", "content": "I", "session_id": 13563, "sequence_id": 146, "annotations": []}
{"role": "volunteer", "content": "it's some sort of like format you're supposed to like write it in because", "session_id": 13563, "sequence_id": 147, "annotations": []}
{"role": "volunteer", "content": "if you just scroll down a little bit.", "session_id": 13563, "sequence_id": 148, "annotations": []}
{"role": "volunteer", "content": "Once you get", "session_id": 13563, "sequence_id": 149, "annotations": []}
{"role": "volunteer", "content": "the factor of A", "session_id": 13563, "sequence_id": 150, "annotations": []}
{"role": "volunteer", "content": "times C, the add-up to give you", "session_id": 13563, "sequence_id": 151, "annotations": []}
{"role": "volunteer", "content": "B", "session_id": 13563, "sequence_id": 152, "annotations": []}
{"role": "volunteer", "content": "It will look like this.", "session_id": 13563, "sequence_id": 153, "annotations": []}
{"role": "student", "content": "Hey, what is that? Is that a, wait.", "session_id": 13563, "sequence_id": 154, "annotations": []}
{"role": "student", "content": "like X-2.", "session_id": 13563, "sequence_id": 155, "annotations": []}
{"role": "student", "content": "times", "session_id": 13563, "sequence_id": 156, "annotations": []}
{"role": "volunteer", "content": "What what did you say", "session_id": 13563, "sequence_id": 157, "annotations": []}
{"role": "student", "content": "1", "session_id": 13563, "sequence_id": 158, "annotations": []}
{"role": "student", "content": "OK, cause what did, what did you uh write for the second parentheses.", "session_id": 13563, "sequence_id": 159, "annotations": []}
{"role": "volunteer", "content": "X", "session_id": 13563, "sequence_id": 160, "annotations": []}
{"role": "volunteer", "content": "plus minus 18.", "session_id": 13563, "sequence_id": 161, "annotations": []}
{"role": "student", "content": "Wait, what", "session_id": 13563, "sequence_id": 162, "annotations": []}
{"role": "volunteer", "content": "Share I write it again", "session_id": 13563, "sequence_id": 163, "annotations": []}
{"role": "student", "content": "I mean", "session_id": 13563, "sequence_id": 164, "annotations": []}
{"role": "student", "content": "for me it just says like X + or minus 2 times something", "session_id": 13563, "sequence_id": 165, "annotations": []}
{"role": "student", "content": "C+ or minus 18.", "session_id": 13563, "sequence_id": 166, "annotations": []}
{"role": "student", "content": "OK", "session_id": 13563, "sequence_id": 167, "annotations": []}
{"role": "student", "content": "Just narcos, I think it was like um", "session_id": 13563, "sequence_id": 168, "annotations": []}
{"role": "student", "content": "where you put 2 and 18.", "session_id": 13563, "sequence_id": 169, "annotations": []}
{"role": "student", "content": "It was like", "session_id": 13563, "sequence_id": 170, "annotations": []}
{"role": "student", "content": "M and N, I think, but I'm not sure.", "session_id": 13563, "sequence_id": 171, "annotations": []}
{"role": "volunteer", "content": "Mm", "session_id": 13563, "sequence_id": 172, "annotations": []}
{"role": "student", "content": "Or would M&N be in like somewhere else?", "session_id": 13563, "sequence_id": 173, "annotations": []}
{"role": "volunteer", "content": "Wait, what's M&N?", "session_id": 13563, "sequence_id": 174, "annotations": []}
{"role": "student", "content": "Um", "session_id": 13563, "sequence_id": 175, "annotations": []}
{"role": "volunteer", "content": "What's that", "session_id": 13563, "sequence_id": 176, "annotations": []}
{"role": "student", "content": "it's like a", "session_id": 13563, "sequence_id": 177, "annotations": []}
{"role": "student", "content": "it's like an equation that we used to think it's like and I believe to the", "session_id": 13563, "sequence_id": 178, "annotations": []}
{"role": "student", "content": "first route or like the first except.", "session_id": 13563, "sequence_id": 179, "annotations": []}
{"role": "student", "content": "And we know I can't use that there then.", "session_id": 13563, "sequence_id": 180, "annotations": []}
{"role": "student", "content": "Yeah no that's 11", "session_id": 13563, "sequence_id": 181, "annotations": []}
{"role": "volunteer", "content": "Mm, sir, I, I, I don't know what you're talking about.", "session_id": 13563, "sequence_id": 182, "annotations": []}
{"role": "student", "content": "No, no, never mind, like, it's uh unrelated to.", "session_id": 13563, "sequence_id": 183, "annotations": []}
{"role": "volunteer", "content": "Oh, OK", "session_id": 13563, "sequence_id": 184, "annotations": []}
{"role": "volunteer", "content": "OK. OK, so", "session_id": 13563, "sequence_id": 185, "annotations": []}
{"role": "volunteer", "content": "like when you get the factors of", "session_id": 13563, "sequence_id": 186, "annotations": []}
{"role": "volunteer", "content": "AC that add up to 18. This is the format that it takes, but then,", "session_id": 13563, "sequence_id": 187, "annotations": []}
{"role": "volunteer", "content": "uh, your teacher wants it to be in this format, and", "session_id": 13563, "sequence_id": 188, "annotations": []}
{"role": "student", "content": "with", "session_id": 13563, "sequence_id": 189, "annotations": []}
{"role": "volunteer", "content": "yeah.", "session_id": 13563, "sequence_id": 190, "annotations": []}
{"role": "volunteer", "content": "and you", "session_id": 13563, "sequence_id": 191, "annotations": []}
{"role": "student", "content": "one thing, like the", "session_id": 13563, "sequence_id": 192, "annotations": []}
{"role": "student", "content": "but they want us to do is like they, they want us to do like the aerial model which is like that thing that you have that's there, so like it's either we don't make mistakes or something or.", "session_id": 13563, "sequence_id": 193, "annotations": []}
{"role": "volunteer", "content": "uh, well, yeah.", "session_id": 13563, "sequence_id": 194, "annotations": []}
{"role": "volunteer", "content": "So to write it in this format.", "session_id": 13563, "sequence_id": 195, "annotations": []}
{"role": "student", "content": "uh", "session_id": 13563, "sequence_id": 196, "annotations": []}
{"role": "volunteer", "content": "You need to", "session_id": 13563, "sequence_id": 197, "annotations": []}
{"role": "volunteer", "content": "mm", "session_id": 13563, "sequence_id": 198, "annotations": []}
{"role": "volunteer", "content": "you need to", "session_id": 13563, "sequence_id": 199, "annotations": []}
{"role": "volunteer", "content": "change this 18.", "session_id": 13563, "sequence_id": 200, "annotations": []}
{"role": "volunteer", "content": "to 3 times 6. That's what your teacher did.", "session_id": 13563, "sequence_id": 201, "annotations": []}
{"role": "volunteer", "content": "She changed the 18 to 3.", "session_id": 13563, "sequence_id": 202, "annotations": []}
{"role": "volunteer", "content": "96", "session_id": 13563, "sequence_id": 203, "annotations": []}
{"role": "volunteer", "content": "and", "session_id": 13563, "sequence_id": 204, "annotations": []}
{"role": "student", "content": "Yeah, OK", "session_id": 13563, "sequence_id": 205, "annotations": []}
{"role": "student", "content": "But they they got the 3 x 6 from um", "session_id": 13563, "sequence_id": 206, "annotations": []}
{"role": "student", "content": "like", "session_id": 13563, "sequence_id": 207, "annotations": []}
{"role": "student", "content": "you can see like", "session_id": 13563, "sequence_id": 208, "annotations": []}
{"role": "student", "content": "they go from like the factory from I think it is.", "session_id": 13563, "sequence_id": 209, "annotations": []}
{"role": "student", "content": "which is like the 3 x plus minus W times x plus minus Z equals 0, and then they do like the area model thing, so they actually multiply them together, and then they go back into the standard form, I guess, but like with W and X", "session_id": 13563, "sequence_id": 210, "annotations": []}
{"role": "student", "content": "and then", "session_id": 13563, "sequence_id": 211, "annotations": []}
{"role": "student", "content": "yeah, it's so weird, but then they go simplify it more.", "session_id": 13563, "sequence_id": 212, "annotations": []}
{"role": "student", "content": "and then they do", "session_id": 13563, "sequence_id": 213, "annotations": []}
{"role": "volunteer", "content": "mm", "session_id": 13563, "sequence_id": 214, "annotations": []}
{"role": "student", "content": "it's, it's weird but like they do 3.", "session_id": 13563, "sequence_id": 215, "annotations": []}
{"role": "student", "content": "extra", "session_id": 13563, "sequence_id": 216, "annotations": []}
{"role": "volunteer", "content": "wait, I'm coming. I, is this", "session_id": 13563, "sequence_id": 217, "annotations": []}
{"role": "volunteer", "content": "where is the answer?", "session_id": 13563, "sequence_id": 218, "annotations": []}
{"role": "student", "content": "The answer is like in the bottom right.", "session_id": 13563, "sequence_id": 219, "annotations": []}
{"role": "student", "content": "It's uh here", "session_id": 13563, "sequence_id": 220, "annotations": []}
{"role": "student", "content": "There's like two answers", "session_id": 13563, "sequence_id": 221, "annotations": []}
{"role": "volunteer", "content": "Mm", "session_id": 13563, "sequence_id": 222, "annotations": []}
{"role": "volunteer", "content": "Uh, OK. Um,", "session_id": 13563, "sequence_id": 223, "annotations": []}
{"role": "volunteer", "content": "so I'm just going to be very honest with you. I, I don't understand this method of solving like", "session_id": 13563, "sequence_id": 224, "annotations": []}
{"role": "volunteer", "content": "hm", "session_id": 13563, "sequence_id": 225, "annotations": []}
{"role": "volunteer", "content": "forgetic", "session_id": 13563, "sequence_id": 226, "annotations": []}
{"role": "volunteer", "content": "like I'm not", "session_id": 13563, "sequence_id": 227, "annotations": []}
{"role": "student", "content": "Like I know you can use like quadratic equation too, which is like", "session_id": 13563, "sequence_id": 228, "annotations": []}
{"role": "volunteer", "content": "yeah, I'm not", "session_id": 13563, "sequence_id": 229, "annotations": []}
{"role": "student", "content": "I I forgot it was fun, it's like.", "session_id": 13563, "sequence_id": 230, "annotations": []}
{"role": "volunteer", "content": "oh, I'm not used to this me. I've never used this method before. I don't understand either.", "session_id": 13563, "sequence_id": 231, "annotations": []}
{"role": "volunteer", "content": "Neither do I know what your teacher is writing.", "session_id": 13563, "sequence_id": 232, "annotations": []}
{"role": "volunteer", "content": "I don't know what I'm looking at.", "session_id": 13563, "sequence_id": 233, "annotations": []}
{"role": "volunteer", "content": "And I also don't know what I'm seeing, so.", "session_id": 13563, "sequence_id": 234, "annotations": []}
{"role": "volunteer", "content": "Sorry, I don't think I can help you.", "session_id": 13563, "sequence_id": 235, "annotations": []}
{"role": "student", "content": "OK", "session_id": 13563, "sequence_id": 236, "annotations": []}
{"role": "student", "content": "Mm", "session_id": 13563, "sequence_id": 237, "annotations": []}
{"role": "student", "content": "hm", "session_id": 13563, "sequence_id": 238, "annotations": []}
{"role": "student", "content": "I mean, I might just go to mass tutoring on my school then because I just don't get it. They have it there, but like it's an afterschool thing, and it's like filled with kids who are like, like they don't get anything at all.", "session_id": 13563, "sequence_id": 239, "annotations": []}
{"role": "student", "content": "Like normally I get stuff like this.", "session_id": 13563, "sequence_id": 240, "annotations": []}
{"role": "student", "content": "but", "session_id": 13563, "sequence_id": 241, "annotations": []}
{"role": "student", "content": "it's like super like weird to me.", "session_id": 13563, "sequence_id": 242, "annotations": []}
{"role": "volunteer", "content": "Um", "session_id": 13563, "sequence_id": 243, "annotations": []}
{"role": "volunteer", "content": "uh, why can't you like?", "session_id": 13563, "sequence_id": 244, "annotations": []}
{"role": "volunteer", "content": "um ask your teacher to like,", "session_id": 13563, "sequence_id": 245, "annotations": []}
{"role": "volunteer", "content": "break it down after class or something.", "session_id": 13563, "sequence_id": 246, "annotations": []}
{"role": "student", "content": "No, cause they don't really have time after class. We like, mostly like our schedule then basically it's like", "session_id": 13563, "sequence_id": 247, "annotations": []}
{"role": "student", "content": "we get there, we have like a breakfast type of thing, and then we have", "session_id": 13563, "sequence_id": 248, "annotations": []}
{"role": "student", "content": "uh ELA and then math.", "session_id": 13563, "sequence_id": 249, "annotations": []}
{"role": "student", "content": "Oh wait, no, sorry, uh, ELA then physics, and then we go to math.", "session_id": 13563, "sequence_id": 250, "annotations": []}
{"role": "student", "content": "And then we have history, and then we have like a little period of time, I guess that might work for", "session_id": 13563, "sequence_id": 251, "annotations": []}
{"role": "student", "content": "that, but the teachers usually use that to either like eat.", "session_id": 13563, "sequence_id": 252, "annotations": []}
{"role": "student", "content": "great assignments or like do something because they're pretty busy most of the time.", "session_id": 13563, "sequence_id": 253, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 13563, "sequence_id": 254, "annotations": []}
{"role": "student", "content": "And then they go to recess, like we have recess still, which is weird, but", "session_id": 13563, "sequence_id": 255, "annotations": []}
{"role": "student", "content": "OK", "session_id": 13563, "sequence_id": 256, "annotations": []}
{"role": "student", "content": "And then", "session_id": 13563, "sequence_id": 257, "annotations": []}
{"role": "student", "content": "yeah, and then uh we go to", "session_id": 13563, "sequence_id": 258, "annotations": []}
{"role": "student", "content": "electives, which is like art, uh, chess, theater, this, that.", "session_id": 13563, "sequence_id": 259, "annotations": []}
{"role": "volunteer", "content": "Mm", "session_id": 13563, "sequence_id": 260, "annotations": []}
{"role": "volunteer", "content": "Mm", "session_id": 13563, "sequence_id": 261, "annotations": []}
{"role": "student", "content": "And then we do problem solving, which is like regional math basically, or uh instead of that, we do physics Res prep", "session_id": 13563, "sequence_id": 262, "annotations": []}
{"role": "volunteer", "content": "Oh", "session_id": 13563, "sequence_id": 263, "annotations": []}
{"role": "student", "content": "which is basically another physics class.", "session_id": 13563, "sequence_id": 264, "annotations": []}
{"role": "volunteer", "content": "that, that, that's a wolf class.", "session_id": 13563, "sequence_id": 265, "annotations": []}
{"role": "student", "content": "but we don't really have like", "session_id": 13563, "sequence_id": 266, "annotations": []}
{"role": "student", "content": "any time where it's like you can just go ask the teacher unless it's after school.", "session_id": 13563, "sequence_id": 267, "annotations": []}
{"role": "student", "content": "or", "session_id": 13563, "sequence_id": 268, "annotations": []}
{"role": "student", "content": "you get lucky", "session_id": 13563, "sequence_id": 269, "annotations": []}
{"role": "volunteer", "content": "Yeah, I have a.", "session_id": 13563, "sequence_id": 270, "annotations": []}
{"role": "student", "content": "Yeah, I was thinking that too, but like after school, the only time they're going to be there is for tutoring.", "session_id": 13563, "sequence_id": 271, "annotations": []}
{"role": "student", "content": "and", "session_id": 13563, "sequence_id": 272, "annotations": []}
{"role": "student", "content": "for in tutoring, it's like they're not going to be with just you so that you, you have to like", "session_id": 13563, "sequence_id": 273, "annotations": []}
{"role": "student", "content": "like if you", "session_id": 13563, "sequence_id": 274, "annotations": []}
{"role": "volunteer", "content": "Yeah, but I'm sure like", "session_id": 13563, "sequence_id": 275, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 13563, "sequence_id": 276, "annotations": []}
{"role": "volunteer", "content": "you can ask questions.", "session_id": 13563, "sequence_id": 277, "annotations": []}
{"role": "student", "content": "Yeah, I can ask questions, but like if I don't get the whole thing, it's uh just a question. I won't do everything.", "session_id": 13563, "sequence_id": 278, "annotations": []}
{"role": "volunteer", "content": "Oh", "session_id": 13563, "sequence_id": 279, "annotations": []}
{"role": "volunteer", "content": "Mm, well,", "session_id": 13563, "sequence_id": 280, "annotations": []}
{"role": "volunteer", "content": "me", "session_id": 13563, "sequence_id": 281, "annotations": []}
{"role": "student", "content": "Like it's not like a, like in physics at least there's formulas with this, it's like I don't.", "session_id": 13563, "sequence_id": 282, "annotations": []}
{"role": "student", "content": "I just don't got it", "session_id": 13563, "sequence_id": 283, "annotations": []}
{"role": "volunteer", "content": "physics formulas are more complicated, honestly, but I think", "session_id": 13563, "sequence_id": 284, "annotations": []}
{"role": "volunteer", "content": "um you should", "session_id": 13563, "sequence_id": 285, "annotations": []}
{"role": "volunteer", "content": "are you from? Are you from the Los Angeles?", "session_id": 13563, "sequence_id": 286, "annotations": [{"pii_type": "LOCATION", "surrogate": "Los Angeles", "start": 31, "end": 42}]}
{"role": "student", "content": "Yeah, where are you from", "session_id": 13563, "sequence_id": 287, "annotations": []}
{"role": "volunteer", "content": "Mm", "session_id": 13563, "sequence_id": 288, "annotations": []}
{"role": "volunteer", "content": "I'm French.", "session_id": 13563, "sequence_id": 289, "annotations": [{"pii_type": "NRP", "surrogate": "French", "start": 4, "end": 10}]}
{"role": "student", "content": "OK", "session_id": 13563, "sequence_id": 290, "annotations": []}
{"role": "volunteer", "content": "but uh", "session_id": 13563, "sequence_id": 291, "annotations": []}
{"role": "volunteer", "content": "I think maybe if you get matched with another tutor that is from where from.", "session_id": 13563, "sequence_id": 292, "annotations": []}
{"role": "volunteer", "content": "They might understand all of this cause I don't know, I'm not familiar with this, and I don't understand what I'm looking at. Like, I actually can help you.", "session_id": 13563, "sequence_id": 293, "annotations": []}
{"role": "volunteer", "content": "and I'm sorry.", "session_id": 13563, "sequence_id": 294, "annotations": []}
{"role": "student", "content": "I know it's fine. It's like no, like only a few people get it. Of course, like uh my Pakistani friend gets it. He spends like a bunch of time doing work, uh, but", "session_id": 13563, "sequence_id": 295, "annotations": [{"pii_type": "NRP", "surrogate": "Pakistani", "start": 85, "end": 94}]}
{"role": "volunteer", "content": "Oh, wait, like, why don't you ask your friends to explain.", "session_id": 13563, "sequence_id": 296, "annotations": []}
{"role": "student", "content": "yeah, it's, but it's like he's not gonna teach me the whole thing though. He'll like he'll tell me the answer, but he won't like", "session_id": 13563, "sequence_id": 297, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 13563, "sequence_id": 298, "annotations": []}
{"role": "student", "content": "like he also like doesn't.", "session_id": 13563, "sequence_id": 299, "annotations": []}
{"role": "volunteer", "content": "I want to break it down", "session_id": 13563, "sequence_id": 300, "annotations": []}
{"role": "student", "content": "Yeah, I might have to pay him, I think.", "session_id": 13563, "sequence_id": 301, "annotations": []}
{"role": "volunteer", "content": "OK.", "session_id": 13563, "sequence_id": 302, "annotations": []}
{"role": "volunteer", "content": "He's your friend", "session_id": 13563, "sequence_id": 303, "annotations": []}
{"role": "student", "content": "She, he, he gives me a friend discount.", "session_id": 13563, "sequence_id": 304, "annotations": []}
{"role": "student", "content": "since", "session_id": 13563, "sequence_id": 305, "annotations": []}
{"role": "volunteer", "content": "You're not supposed to be at all.", "session_id": 13563, "sequence_id": 306, "annotations": []}
{"role": "student", "content": "Uh, I might ask him, but it's just also like a time thing because like he does uh hockey and then", "session_id": 13563, "sequence_id": 307, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 13563, "sequence_id": 308, "annotations": []}
{"role": "student", "content": "No, I'll see", "session_id": 13563, "sequence_id": 309, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 13563, "sequence_id": 310, "annotations": []}
{"role": "volunteer", "content": "Well, good luck.", "session_id": 13563, "sequence_id": 311, "annotations": []}
{"role": "student", "content": "Good luck. OK.", "session_id": 13563, "sequence_id": 312, "annotations": []}
{"role": "student", "content": "Bye-bye", "session_id": 13563, "sequence_id": 313, "annotations": []}
{"role": "volunteer", "content": "Bye", "session_id": 13563, "sequence_id": 314, "annotations": []}
{"role": "volunteer", "content": "Hello!", "session_id": 13691, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "Hi! So I'm confused and struggling", "session_id": 13691, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "So here's the link to the classwork I did in class but solving it on my own i'm confused: example.com", "session_id": 13691, "sequence_id": 2, "annotations": [{"pii_type": "URL", "surrogate": "example.com", "start": 90, "end": 101}]}
{"role": "student", "content": "currently working on one that a past coach created for me since i want diff numbers and the exact problems from my worksheet", "session_id": 13691, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "Oh like this is different numbers from what's on the worksheet?", "session_id": 13691, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "yes", "session_id": 13691, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "Like this is just a check in thing", "session_id": 13691, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "got it", "session_id": 13691, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "its just practice", "session_id": 13691, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "i want practice to get better at it", "session_id": 13691, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "is this right so far?", "session_id": 13691, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "Wait walk me through what you just did I'm a little confused", "session_id": 13691, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "this a method a past coach showed me", "session_id": 13691, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "Have you learned factoring by grouping?", "session_id": 13691, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "That's what I would suggest here instead", "session_id": 13691, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "If not I can walk you through it", "session_id": 13691, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "walk me through it", "session_id": 13691, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "Here wait rewrite just the problem on the board", "session_id": 13691, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "k", "session_id": 13691, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "Is it just that?", "session_id": 13691, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "mhm", "session_id": 13691, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "Okay so first", "session_id": 13691, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "When the number in front of the x^2 is different than 1 that's when you know you have to use factoring by grouping", "session_id": 13691, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "So here that number is 2", "session_id": 13691, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "ok", "session_id": 13691, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "And then we look at the constant which is the -3 because there's not x attached to it", "session_id": 13691, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "So the first step here is to multiply those two, you might've learned the rainbow method in other lessons", "session_id": 13691, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "yep i did 3 times 2", "session_id": 13691, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "Then you get -6", "session_id": 13691, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "mhm", "session_id": 13691, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "Which is the number we're looking to find 2 numbers that multiply to make", "session_id": 13691, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "then we look at the -5", "session_id": 13691, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "That is the number we need these two numbers that multiply to -6 to add to", "session_id": 13691, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "If that makes sense", "session_id": 13691, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "yep ik that part", "session_id": 13691, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "Do you know of the two?", "session_id": 13691, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "-3-2 i said that to the past coach and they said its wrong", "session_id": 13691, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "You're really close actually", "session_id": 13691, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "if we used -3 and -2, when you multiply them you get positive 6 not negative", "session_id": 13691, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "-3-2=-5", "session_id": 13691, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "Yes it fulfills the -5 part but multiplying them doesn't equal -6", "session_id": 13691, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "oh true", "session_id": 13691, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "-3 times -2 is positive 6 but we need the two numbers to multiply to -6", "session_id": 13691, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "Any other ideas?", "session_id": 13691, "sequence_id": 43, "annotations": []}
{"role": "student", "content": "it cant be 3+2 bc thats positive 5..", "session_id": 13691, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "the middle is -5", "session_id": 13691, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "Right", "session_id": 13691, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "I'll give you like the tiniest hint haha it's not 3 and 2 it's two different numbers", "session_id": 13691, "sequence_id": 47, "annotations": []}
{"role": "student", "content": "omgg see this is where i get confusd", "session_id": 13691, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "Don't worry this trips me up all the time too", "session_id": 13691, "sequence_id": 49, "annotations": []}
{"role": "student", "content": "-6+1", "session_id": 13691, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "Perfect!! See you got it", "session_id": 13691, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "-6 times 1 is -6", "session_id": 13691, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "and -6 + 1 is -5", "session_id": 13691, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "Great job there!!", "session_id": 13691, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "So after we get those numbers", "session_id": 13691, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "Remember how they add to -5?", "session_id": 13691, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "We kind of just put them into the problem", "session_id": 13691, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "I'll show you", "session_id": 13691, "sequence_id": 58, "annotations": []}
{"role": "student", "content": "so its (x-6)(x+1)?", "session_id": 13691, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "Do you see what I did there? It's a little hard to explain but because they add to -5, we can replace them with it", "session_id": 13691, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "Like the -6x + x = -5x", "session_id": 13691, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "So replacing it is just the same thing", "session_id": 13691, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "Look okay so far?", "session_id": 13691, "sequence_id": 63, "annotations": []}
{"role": "student", "content": "yes", "session_id": 13691, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "okay perfect!", "session_id": 13691, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "So now here comes the grouping part", "session_id": 13691, "sequence_id": 66, "annotations": []}
{"role": "student", "content": "ok can u give me another one", "session_id": 13691, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "We basically just split this down the middle", "session_id": 13691, "sequence_id": 68, "annotations": []}
{"role": "student", "content": "oh its not done yet", "session_id": 13691, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "Nope haha", "session_id": 13691, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "Almost though", "session_id": 13691, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "We split this down the middle so there's two terms on each side", "session_id": 13691, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "Now it's a little easier to deal with because we only have to take out a GCF for the two pairs of terms", "session_id": 13691, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "Make sense?", "session_id": 13691, "sequence_id": 74, "annotations": []}
{"role": "student", "content": "im confused", "session_id": 13691, "sequence_id": 75, "annotations": []}
{"role": "student", "content": "i thought it was -6 and 1", "session_id": 13691, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "You're right it technically is -6 and 1", "session_id": 13691, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "and those are still there", "session_id": 13691, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "I just left out the 1 when I put x", "session_id": 13691, "sequence_id": 79, "annotations": []}
{"role": "student", "content": "i thought that was the answer tho", "session_id": 13691, "sequence_id": 80, "annotations": []}
{"role": "volunteer", "content": "Because -6 and 1 add up to -5, we can replace them in the equation", "session_id": 13691, "sequence_id": 81, "annotations": []}
{"role": "volunteer", "content": "Not exactly, for these questions where the number in front of the x^2 is different than 1, it's a little more work after you find those two numbers", "session_id": 13691, "sequence_id": 82, "annotations": []}
{"role": "volunteer", "content": "if this problem was like the others on your worksheet like x^2-6x+6 then those two numbers would be the answer", "session_id": 13691, "sequence_id": 83, "annotations": []}
{"role": "student", "content": "this is very stressful", "session_id": 13691, "sequence_id": 84, "annotations": []}
{"role": "student", "content": "oh yeah thats how its doneon the paper", "session_id": 13691, "sequence_id": 85, "annotations": []}
{"role": "student", "content": "im trying to solve it the way it says to be solved on my workshet", "session_id": 13691, "sequence_id": 86, "annotations": []}
{"role": "volunteer", "content": "Wait let me look at that", "session_id": 13691, "sequence_id": 87, "annotations": []}
{"role": "student", "content": "k", "session_id": 13691, "sequence_id": 88, "annotations": []}
{"role": "volunteer", "content": "To be honest I got kind of confused reading that", "session_id": 13691, "sequence_id": 89, "annotations": []}
{"role": "volunteer", "content": "The way I was taught is this grouping method because it's easier", "session_id": 13691, "sequence_id": 90, "annotations": []}
{"role": "volunteer", "content": "Actually", "session_id": 13691, "sequence_id": 91, "annotations": []}
{"role": "volunteer", "content": "nevermind I was looking at the wrong page", "session_id": 13691, "sequence_id": 92, "annotations": []}
{"role": "volunteer", "content": "It does the same kind of thing I'm teaching you", "session_id": 13691, "sequence_id": 93, "annotations": []}
{"role": "volunteer", "content": "The AC method", "session_id": 13691, "sequence_id": 94, "annotations": []}
{"role": "volunteer", "content": "It's like the same thing", "session_id": 13691, "sequence_id": 95, "annotations": []}
{"role": "student", "content": "so is my answer right or no", "session_id": 13691, "sequence_id": 96, "annotations": []}
{"role": "volunteer", "content": "For this one?", "session_id": 13691, "sequence_id": 97, "annotations": []}
{"role": "volunteer", "content": "the -6 and 1 alone isn't right just yet we still just have to factor the two sides", "session_id": 13691, "sequence_id": 98, "annotations": []}
{"role": "student", "content": "omg idk anymore this is confusing", "session_id": 13691, "sequence_id": 99, "annotations": []}
{"role": "student", "content": "how do you know your supposed to do that", "session_id": 13691, "sequence_id": 100, "annotations": []}
{"role": "volunteer", "content": "To do the grouping thing?", "session_id": 13691, "sequence_id": 101, "annotations": []}
{"role": "student", "content": "just give me a new problem", "session_id": 13691, "sequence_id": 102, "annotations": []}
{"role": "student", "content": "bc idek this is just confusing", "session_id": 13691, "sequence_id": 103, "annotations": []}
{"role": "volunteer", "content": "Yeah I'm really sorry it's super confusing", "session_id": 13691, "sequence_id": 104, "annotations": []}
{"role": "volunteer", "content": "This was hard for me to learn at first too", "session_id": 13691, "sequence_id": 105, "annotations": []}
{"role": "student", "content": "can u give me a problem and then after this im calling it a night", "session_id": 13691, "sequence_id": 106, "annotations": []}
{"role": "volunteer", "content": "Yeah of course and stop me at any point if I'm not making sense", "session_id": 13691, "sequence_id": 107, "annotations": []}
{"role": "volunteer", "content": "You can read that fine right", "session_id": 13691, "sequence_id": 108, "annotations": []}
{"role": "student", "content": "yes", "session_id": 13691, "sequence_id": 109, "annotations": []}
{"role": "student", "content": "so would i do 2 times 2", "session_id": 13691, "sequence_id": 110, "annotations": []}
{"role": "volunteer", "content": "Yep!", "session_id": 13691, "sequence_id": 111, "annotations": []}
{"role": "student", "content": "ok", "session_id": 13691, "sequence_id": 112, "annotations": []}
{"role": "student", "content": "now what", "session_id": 13691, "sequence_id": 113, "annotations": []}
{"role": "volunteer", "content": "So for the grouping thing basically you need numbers multiplying to 4 (because 2 times 2) and adding to 5", "session_id": 13691, "sequence_id": 114, "annotations": []}
{"role": "volunteer", "content": "So here that would be 4 and 1", "session_id": 13691, "sequence_id": 115, "annotations": []}
{"role": "volunteer", "content": "So like we did for the last one we can rewrite this", "session_id": 13691, "sequence_id": 116, "annotations": []}
{"role": "volunteer", "content": "Does that make sense?", "session_id": 13691, "sequence_id": 117, "annotations": []}
{"role": "volunteer", "content": "It's just a way of expanding it", "session_id": 13691, "sequence_id": 118, "annotations": []}
{"role": "volunteer", "content": "to make it easier to factor", "session_id": 13691, "sequence_id": 119, "annotations": []}
{"role": "student", "content": "ok holdon", "session_id": 13691, "sequence_id": 120, "annotations": []}
{"role": "student", "content": "that quals 11", "session_id": 13691, "sequence_id": 121, "annotations": []}
{"role": "student", "content": "2+4+1+4", "session_id": 13691, "sequence_id": 122, "annotations": []}
{"role": "volunteer", "content": "Oh I see why you think that", "session_id": 13691, "sequence_id": 123, "annotations": []}
{"role": "volunteer", "content": "Basically here", "session_id": 13691, "sequence_id": 124, "annotations": []}
{"role": "student", "content": "nvm i get it", "session_id": 13691, "sequence_id": 125, "annotations": []}
{"role": "volunteer", "content": "We can't add terms that don't have the same variable", "session_id": 13691, "sequence_id": 126, "annotations": []}
{"role": "student", "content": "so its (x+4)(x+1)?", "session_id": 13691, "sequence_id": 127, "annotations": []}
{"role": "volunteer", "content": "Not exactly, after we do this we basically have to GCF each side", "session_id": 13691, "sequence_id": 128, "annotations": []}
{"role": "volunteer", "content": "Remember how I said like split these 4 terms down the middle", "session_id": 13691, "sequence_id": 129, "annotations": []}
{"role": "student", "content": "yes", "session_id": 13691, "sequence_id": 130, "annotations": []}
{"role": "student", "content": "omg this looks confusing and foriegn to me", "session_id": 13691, "sequence_id": 131, "annotations": []}
{"role": "student", "content": "my teacher hasn't went over a problem like this one yet that has to be solved like that", "session_id": 13691, "sequence_id": 132, "annotations": []}
{"role": "volunteer", "content": "Sorry btw that was supposed to be 2", "session_id": 13691, "sequence_id": 133, "annotations": []}
{"role": "volunteer", "content": "I probably should've changed colors to make it look better", "session_id": 13691, "sequence_id": 134, "annotations": []}
{"role": "volunteer", "content": "But essentially you're just splitting up the equation to make it easier", "session_id": 13691, "sequence_id": 135, "annotations": []}
{"role": "volunteer", "content": "and once you do that", "session_id": 13691, "sequence_id": 136, "annotations": []}
{"role": "volunteer", "content": "you're basically factoring 2 parts of the equation separately", "session_id": 13691, "sequence_id": 137, "annotations": []}
{"role": "volunteer", "content": "Do you see how there's a (n+2) on both sides?", "session_id": 13691, "sequence_id": 138, "annotations": []}
{"role": "volunteer", "content": "That's what we want basically", "session_id": 13691, "sequence_id": 139, "annotations": []}
{"role": "volunteer", "content": "That means we did the factoring right", "session_id": 13691, "sequence_id": 140, "annotations": []}
{"role": "student", "content": "where the 2 come from tho", "session_id": 13691, "sequence_id": 141, "annotations": []}
{"role": "volunteer", "content": "the n+2?", "session_id": 13691, "sequence_id": 142, "annotations": []}
{"role": "student", "content": "mhm", "session_id": 13691, "sequence_id": 143, "annotations": []}
{"role": "volunteer", "content": "I took out a GCF on each side", "session_id": 13691, "sequence_id": 144, "annotations": []}
{"role": "volunteer", "content": "Like for the left I took out a 2n", "session_id": 13691, "sequence_id": 145, "annotations": []}
{"role": "volunteer", "content": "which leaves you with n and +2", "session_id": 13691, "sequence_id": 146, "annotations": []}
{"role": "student", "content": "you had it witten as 2n24n1n+4 at first", "session_id": 13691, "sequence_id": 147, "annotations": []}
{"role": "student", "content": "oh k", "session_id": 13691, "sequence_id": 148, "annotations": []}
{"role": "volunteer", "content": "Yeah I wrote 4 instead of 2 at the end", "session_id": 13691, "sequence_id": 149, "annotations": []}
{"role": "volunteer", "content": "It originially was 2", "session_id": 13691, "sequence_id": 150, "annotations": []}
{"role": "student", "content": "yeah idk still confusing", "session_id": 13691, "sequence_id": 151, "annotations": []}
{"role": "student", "content": "goodnight", "session_id": 13691, "sequence_id": 152, "annotations": []}
{"role": "student", "content": "Hi!", "session_id": 13804, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "Hi Jordan, looks like you have a problem to work on...let's take a look", "session_id": 13804, "sequence_id": 1, "annotations": [{"pii_type": "PERSON", "surrogate": "Jordan", "start": 3, "end": 9}]}
{"role": "student", "content": "Alright!", "session_id": 13804, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "The assignment is Extrema and End Behaviors by the way!", "session_id": 13804, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "I see, so your teacher wants you to graph to find the answers?", "session_id": 13804, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "I think so", "session_id": 13804, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "Let me graph it real quick", "session_id": 13804, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "ok, i'll do the same", "session_id": 13804, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "I graphed it on the desmos graphing calculator", "session_id": 13804, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "yep, what I got too", "session_id": 13804, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "oops I made a mistake, now mine looks like yours.", "session_id": 13804, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "What do you mean?", "session_id": 13804, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "I made a mistake when I put in the numbers, but now I got it right and got the same graph as you", "session_id": 13804, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "Alrighty", "session_id": 13804, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "so, we need to find the min?", "session_id": 13804, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "I think?", "session_id": 13804, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "I see one local example.com you agree?", "session_id": 13804, "sequence_id": 16, "annotations": [{"pii_type": "URL", "surrogate": "example.com", "start": 16, "end": 27}]}
{"role": "student", "content": "Yes, the point at the very bottom of the arch going down?", "session_id": 13804, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "there...right?", "session_id": 13804, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "yes!", "session_id": 13804, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "does your calculator give you the numbers for that?", "session_id": 13804, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "yes lemme look", "session_id": 13804, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "(-0.51313, -4.12664)", "session_id": 13804, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "that's what I got too!  now need to round to nearest hundreth", "session_id": 13804, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "would that be the 1 or the 3 in the first number", "session_id": 13804, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "two decimals, so the 1 in the 1st number", "session_id": 13804, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "ooh alright", "session_id": 13804, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "Ah, that was correct!", "session_id": 13804, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "Now I have another one", "session_id": 13804, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "very nice", "session_id": 13804, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "let's see the next one", "session_id": 13804, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "ok, what do you think...where are the minima?", "session_id": 13804, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "well it seems like it wants just a single number and not a point so I'm not sure", "session_id": 13804, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "would they be -4 and 2?", "session_id": 13804, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "it is worded strangely, but I think it wants the y values for the minima in the first box, and the x values in the 2nd box", "session_id": 13804, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "oooh", "session_id": 13804, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "so then the first one would be -5, and the second one is -4 and 2?", "session_id": 13804, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "yes, for the second I think you need -4,2", "session_id": 13804, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "since it wants a comma to separate", "session_id": 13804, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "It says it was correct!", "session_id": 13804, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "nice!", "session_id": 13804, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "Okay I have one more and then I think I get it", "session_id": 13804, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "ok, let's start my idenifying the local minima", "session_id": 13804, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "I see maths.comree?", "session_id": 13804, "sequence_id": 43, "annotations": [{"pii_type": "URL", "surrogate": "maths.com", "start": 6, "end": 15}]}
{"role": "student", "content": "I agree!", "session_id": 13804, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "they occur at the two points (0,3) and (-2,-3)...right?", "session_id": 13804, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "Right", "session_id": 13804, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "so the minimum values (for the 1st box are)...what?", "session_id": 13804, "sequence_id": 47, "annotations": []}
{"role": "student", "content": "would they be the y values because it looks like they flipped them", "session_id": 13804, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "oops, 1st point is (3,0) not (0,3) right...", "session_id": 13804, "sequence_id": 49, "annotations": []}
{"role": "student", "content": "oh yeah", "session_id": 13804, "sequence_id": 50, "annotations": []}
{"role": "student", "content": "so would the first one be 0 and -3? for the first box", "session_id": 13804, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 13804, "sequence_id": 52, "annotations": []}
{"role": "student", "content": "and then the second box is 3 and -2?", "session_id": 13804, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "yep", "session_id": 13804, "sequence_id": 54, "annotations": []}
{"role": "student", "content": "Thank you so much for your help I really appreciate it! It was correct", "session_id": 13804, "sequence_id": 55, "annotations": []}
{"role": "student", "content": "You were very helpful, thank you", "session_id": 13804, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "it was my pleasure, enjoy the rest of your day!", "session_id": 13804, "sequence_id": 57, "annotations": []}
{"role": "student", "content": "Thank you! You too!", "session_id": 13804, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "Hi", "session_id": 14067, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "How can I help you?", "session_id": 14067, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "I have a question about areas", "session_id": 14067, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "sure", "session_id": 14067, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "can i paste it", "session_id": 14067, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "sure", "session_id": 14067, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "ok one sec", "session_id": 14067, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "take your time", "session_id": 14067, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "thank u", "session_id": 14067, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "computer slow", "session_id": 14067, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "I understand. please take your time", "session_id": 14067, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "thx", "session_id": 14067, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "Is the question to find the area of the blue box ?", "session_id": 14067, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "wow good question", "session_id": 14067, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "I think", "session_id": 14067, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "that is just blue are", "session_id": 14067, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "and right triangle is there to he;[", "session_id": 14067, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "sure", "session_id": 14067, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "yea confusing until u ask", "session_id": 14067, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "let me look into the diagram", "session_id": 14067, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "thx", "session_id": 14067, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "Do you know what shape is the blue box ?", "session_id": 14067, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "The blue shape is called Parallelogram", "session_id": 14067, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "Formula to calculate the area of the parallelogram is base * height", "session_id": 14067, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "yes", "session_id": 14067, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "In the problem you have , can you guess what the base is ?", "session_id": 14067, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "4", "session_id": 14067, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "good job", "session_id": 14067, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "what do you think the height is ?", "session_id": 14067, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "so they give us 5 for height of triangle", "session_id": 14067, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "not sure if you can see that", "session_id": 14067, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "Yes, you are right", "session_id": 14067, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "So, the height of the triangle is same as the height of the paralloegram", "session_id": 14067, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "Ok", "session_id": 14067, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "So, what do you think the area of the parallelogram in this case?", "session_id": 14067, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "4", "session_id": 14067, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "10?", "session_id": 14067, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "In your diagram, is 5 the height of the triangle ?", "session_id": 14067, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "It is not clear and hence I am asking", "session_id": 14067, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "So, I can explain accordingly", "session_id": 14067, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 14067, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "cool, thanks", "session_id": 14067, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "ur we5lcom", "session_id": 14067, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "The formula of the parallelogram is base * height", "session_id": 14067, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "Here the base is 4 inches", "session_id": 14067, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "Height is 5 inches", "session_id": 14067, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "The formula to calculate the area of the parallelogram is base * height", "session_id": 14067, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "what do you think the area is ?", "session_id": 14067, "sequence_id": 47, "annotations": []}
{"role": "student", "content": "20 cause no half", "session_id": 14067, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "good job", "session_id": 14067, "sequence_id": 49, "annotations": []}
{"role": "student", "content": "wow fel dumb", "session_id": 14067, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "You are doing great", "session_id": 14067, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "ok can you make one quick for me", "session_id": 14067, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "sure", "session_id": 14067, "sequence_id": 53, "annotations": []}
{"role": "student", "content": "like odd shape, to prctic cuase i want", "session_id": 14067, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "sure", "session_id": 14067, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "paste the problem you would like to solve", "session_id": 14067, "sequence_id": 56, "annotations": []}
{"role": "student", "content": "can i come bck on weekend", "session_id": 14067, "sequence_id": 57, "annotations": []}
{"role": "student", "content": "have other hw", "session_id": 14067, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "sure, no problem", "session_id": 14067, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "have a great day!", "session_id": 14067, "sequence_id": 60, "annotations": []}
{"role": "student", "content": "Jordan", "session_id": 14067, "sequence_id": 61, "annotations": [{"pii_type": "PERSON", "surrogate": "Jordan", "start": 0, "end": 6}]}
{"role": "student", "content": "on wknd", "session_id": 14067, "sequence_id": 62, "annotations": []}
{"role": "student", "content": "uir company", "session_id": 14067, "sequence_id": 63, "annotations": []}
{"role": "student", "content": "whatcha hours>?", "session_id": 14067, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "Tutor Provider platform is available 24*7 7 days a week", "session_id": 14067, "sequence_id": 65, "annotations": []}
{"role": "student", "content": "halulayah", "session_id": 14067, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "So, it is available anytime", "session_id": 14067, "sequence_id": 67, "annotations": []}
{"role": "student", "content": "nice nme amd nic help might name", "session_id": 14067, "sequence_id": 68, "annotations": []}
{"role": "student", "content": "lizard ur name", "session_id": 14067, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "bye, have a great day!", "session_id": 14067, "sequence_id": 70, "annotations": []}
{"role": "student", "content": "bye", "session_id": 14067, "sequence_id": 71, "annotations": []}
{"role": "student", "content": "hi", "session_id": 14259, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "Hi Liam! How are you?", "session_id": 14259, "sequence_id": 1, "annotations": [{"pii_type": "PERSON", "surrogate": "Liam", "start": 3, "end": 7}]}
{"role": "student", "content": "I'm good and you?", "session_id": 14259, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "I'm good as well :) How can I help you today?", "session_id": 14259, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "I need help with this problem", "session_id": 14259, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "Okay! Do you have an idea where to start?", "session_id": 14259, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "no", "session_id": 14259, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "So the composition described is like applying g to f, so g(f(x))", "session_id": 14259, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "Then, the inputs to g, the domain, should be the outputs of f(x)", "session_id": 14259, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "Those for which g(x) is defined", "session_id": 14259, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "Any questions so far?", "session_id": 14259, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "no", "session_id": 14259, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "Then what do you think the domain is for g(f(x))?", "session_id": 14259, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "Actually, I'm sorry the domain of g(f(x)) should be values you can input to f(x) whose output from f(x) you can input to g", "session_id": 14259, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "I need help I'm stuck", "session_id": 14259, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "First we compute f(x). Then we send that output to g. So to find the domain of the composition first we need to find numbers in the domain of f whose outputs can be input to g.", "session_id": 14259, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "Can you circle the domain of f?", "session_id": 14259, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "yes", "session_id": 14259, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "Great!", "session_id": 14259, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "Can you circle the outputs of f?", "session_id": 14259, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "Very good! Now we want to see which of the outputs of f we can input to g", "session_id": 14259, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "Can you circle numbers in the domain of g that are also in the output (range) of f?", "session_id": 14259, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "Nice work!", "session_id": 14259, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "So these are the outputs of f that can be passed to g", "session_id": 14259, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "ok", "session_id": 14259, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "what inputs to the domain of f originally gave those three outputs?", "session_id": 14259, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "These inputs will be the domain of g(f(x))", "session_id": 14259, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "2,4,7,8", "session_id": 14259, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "Nice! That should be our domain", "session_id": 14259, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "To find the range, find the outputs of 0, 3, and 7 using g. Those are the outputs of f for which g is defined", "session_id": 14259, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "1", "session_id": 14259, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "Are 5 and 9 in the range as well?", "session_id": 14259, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "yes", "session_id": 14259, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "Awesome!", "session_id": 14259, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "I have another one", "session_id": 14259, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "ok :)", "session_id": 14259, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "So this composition is like f(g(x))", "session_id": 14259, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "we want to find all inputs to g(x) whose output we can input to f", "session_id": 14259, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "6,7,8", "session_id": 14259, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "6 and 7 are in the domain. Let's double check 8. Using g, 8 outputs 1. Can 1 be input to f?", "session_id": 14259, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "no", "session_id": 14259, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "So then 8 can't be in the domain of f(g(x)) because we have to pass the output of g(8) to f and f(1)) is not defined", "session_id": 14259, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "I would also double check whether 2 and 9 are in the domain!", "session_id": 14259, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "2, 6, 7, 9 is the correct domain!", "session_id": 14259, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "How about the range of f(g(x))?", "session_id": 14259, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "3,4", "session_id": 14259, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "Let's double check whether 4 is in the range. What inputs to f output 4?", "session_id": 14259, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "7", "session_id": 14259, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "That's the input to g that outputs 4. What about inputs to f that output 4?", "session_id": 14259, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "8", "session_id": 14259, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "What's f(3) as well?", "session_id": 14259, "sequence_id": 50, "annotations": []}
{"role": "student", "content": "4,5,6,7", "session_id": 14259, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "4,5,6,7 is the range of f(g(x))?", "session_id": 14259, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "What did you mean by 4,5,6,7?", "session_id": 14259, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": ":)", "session_id": 14259, "sequence_id": 54, "annotations": []}
{"role": "student", "content": "those are the Domain of f", "session_id": 14259, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "the domain of f that can be output by g", "session_id": 14259, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "And what do we get by inputing 4, 5, 6, and 7 into f?", "session_id": 14259, "sequence_id": 57, "annotations": []}
{"role": "student", "content": "3", "session_id": 14259, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "yes! So what's the range of f(g(x)) then? Does it include 4?", "session_id": 14259, "sequence_id": 59, "annotations": []}
{"role": "student", "content": "no", "session_id": 14259, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "Very good!", "session_id": 14259, "sequence_id": 61, "annotations": []}
{"role": "student", "content": "I have another one", "session_id": 14259, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "ok :)", "session_id": 14259, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "Any ideas on what the domain of g(f(x)) is?", "session_id": 14259, "sequence_id": 64, "annotations": []}
{"role": "student", "content": "domain would be 3,8", "session_id": 14259, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "3 and 8 are in the domain", "session_id": 14259, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "Why do you say 5, 6, and 9 are not in the domain?", "session_id": 14259, "sequence_id": 67, "annotations": []}
{"role": "student", "content": "yes they are in the domain", "session_id": 14259, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "Can you double check for me that all the outputs can be input into g?", "session_id": 14259, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "Hint: one of the inputs to f has an output that can't be input to g", "session_id": 14259, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "in other words, one number in the domain of f outputs a number that is not in the domain of g", "session_id": 14259, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "So that number that does that can't be in the domain of g(f(x)). We only want inputs to f that have an output that can be passed into g next", "session_id": 14259, "sequence_id": 72, "annotations": []}
{"role": "student", "content": "oh ok", "session_id": 14259, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "What would your answer be for the domain of g(f(x)) then?", "session_id": 14259, "sequence_id": 74, "annotations": []}
{"role": "student", "content": "3,5,8,9", "session_id": 14259, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "Yes! very good :)", "session_id": 14259, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "How about the range of g(f(x))?", "session_id": 14259, "sequence_id": 77, "annotations": []}
{"role": "student", "content": "2,5,8", "session_id": 14259, "sequence_id": 78, "annotations": []}
{"role": "student", "content": "2,3,5,8", "session_id": 14259, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "To find the range of g(f(x)), you first find values in the domain of g that are output by f. Then, you see what values those values in the domain of g output", "session_id": 14259, "sequence_id": 80, "annotations": []}
{"role": "volunteer", "content": "so ultimately, all values in the range of g(f(x)) should be in the range of g", "session_id": 14259, "sequence_id": 81, "annotations": []}
{"role": "volunteer", "content": "But we only want to look at the output of inputs to g that could themselves be output by f", "session_id": 14259, "sequence_id": 82, "annotations": []}
{"role": "volunteer", "content": "So first step: find values in the domain of g that are also in the range of f", "session_id": 14259, "sequence_id": 83, "annotations": []}
{"role": "student", "content": "1 and 8", "session_id": 14259, "sequence_id": 84, "annotations": []}
{"role": "volunteer", "content": "That's not quite correct. First, which values in the domain of g are also in the range of f?", "session_id": 14259, "sequence_id": 85, "annotations": []}
{"role": "student", "content": "8", "session_id": 14259, "sequence_id": 86, "annotations": []}
{"role": "volunteer", "content": "8 is! What about 1, 2, 3, and 4?", "session_id": 14259, "sequence_id": 87, "annotations": []}
{"role": "student", "content": "yes", "session_id": 14259, "sequence_id": 88, "annotations": []}
{"role": "volunteer", "content": "Are you sure every value in the domain of g is in the range of f?", "session_id": 14259, "sequence_id": 89, "annotations": []}
{"role": "student", "content": "1,2,4,8", "session_id": 14259, "sequence_id": 90, "annotations": []}
{"role": "volunteer", "content": "Yes very good!", "session_id": 14259, "sequence_id": 91, "annotations": []}
{"role": "volunteer", "content": "What values do 1, 2, 4, and 8 output when passed to g?", "session_id": 14259, "sequence_id": 92, "annotations": []}
{"role": "volunteer", "content": "That will be the range of g(f(x))", "session_id": 14259, "sequence_id": 93, "annotations": []}
{"role": "student", "content": "1,3,8", "session_id": 14259, "sequence_id": 94, "annotations": []}
{"role": "volunteer", "content": "Which one of 1, 2, 4, and 8 outputs 8 when passed to g?", "session_id": 14259, "sequence_id": 95, "annotations": []}
{"role": "student", "content": "3", "session_id": 14259, "sequence_id": 96, "annotations": []}
{"role": "volunteer", "content": "But 3 is not in the range of f. 3 isn't an output of f. Therefore, we don't include g(3) in the range of g(f(x))", "session_id": 14259, "sequence_id": 97, "annotations": []}
{"role": "volunteer", "content": "We're only looking for the outputs of g when passed outputs of f", "session_id": 14259, "sequence_id": 98, "annotations": []}
{"role": "volunteer", "content": "Since 3 is not an output of f, we don't include g(3) in the range of g(f(x))", "session_id": 14259, "sequence_id": 99, "annotations": []}
{"role": "student", "content": "ok", "session_id": 14259, "sequence_id": 100, "annotations": []}
{"role": "volunteer", "content": "So what would you say the range of g(f(x)) is now?", "session_id": 14259, "sequence_id": 101, "annotations": []}
{"role": "student", "content": "1,2,5,8", "session_id": 14259, "sequence_id": 102, "annotations": []}
{"role": "volunteer", "content": "That's not correct. We identified 1, 2, 4, and 8 as numbers in the domain of g that are also in the range of f. Now we want to look at what g outputs when passed those numbers. The outputs of g given 1, 2, 4, and 8 will be our range for g(f(x))", "session_id": 14259, "sequence_id": 103, "annotations": []}
{"role": "student", "content": "oh ok", "session_id": 14259, "sequence_id": 104, "annotations": []}
{"role": "volunteer", "content": "What would your answer for the range of g(f(x)) be now? :)", "session_id": 14259, "sequence_id": 105, "annotations": []}
{"role": "student", "content": "2 and 8", "session_id": 14259, "sequence_id": 106, "annotations": []}
{"role": "volunteer", "content": "That's not correct, but good try! We want to find the outputs of g when passed 1, 2, 4, and 8, which are the values in the domain of g that are also in the range of f.", "session_id": 14259, "sequence_id": 107, "annotations": []}
{"role": "volunteer", "content": "So can you find g(1), g(2)), g(4)), and g(8)?", "session_id": 14259, "sequence_id": 108, "annotations": []}
{"role": "student", "content": "g(1)=3 g(2)=1 g(4)=1 g(8)= 3", "session_id": 14259, "sequence_id": 109, "annotations": []}
{"role": "volunteer", "content": "Very good!", "session_id": 14259, "sequence_id": 110, "annotations": []}
{"role": "volunteer", "content": "So the outputs are 3 and 1", "session_id": 14259, "sequence_id": 111, "annotations": []}
{"role": "student", "content": "ok", "session_id": 14259, "sequence_id": 112, "annotations": []}
{"role": "volunteer", "content": "So what is the range of g(f(x)) then?", "session_id": 14259, "sequence_id": 113, "annotations": []}
{"role": "student", "content": "3,1", "session_id": 14259, "sequence_id": 114, "annotations": []}
{"role": "volunteer", "content": "Nice work!", "session_id": 14259, "sequence_id": 115, "annotations": []}
{"role": "volunteer", "content": "Do you have any questions on this problem?", "session_id": 14259, "sequence_id": 116, "annotations": []}
{"role": "student", "content": "no", "session_id": 14259, "sequence_id": 117, "annotations": []}
{"role": "volunteer", "content": "okay :)", "session_id": 14259, "sequence_id": 118, "annotations": []}
{"role": "volunteer", "content": "Any more problems?", "session_id": 14259, "sequence_id": 119, "annotations": []}
{"role": "student", "content": "yes", "session_id": 14259, "sequence_id": 120, "annotations": []}
{"role": "volunteer", "content": "what's the first step for finding the domain?", "session_id": 14259, "sequence_id": 121, "annotations": []}
{"role": "student", "content": "Domain would be 0,4", "session_id": 14259, "sequence_id": 122, "annotations": []}
{"role": "volunteer", "content": "That's almost right! Why do you say 1, 3, and 9 are not in the domain of g(f(x))?", "session_id": 14259, "sequence_id": 123, "annotations": []}
{"role": "student", "content": "oh ok", "session_id": 14259, "sequence_id": 124, "annotations": []}
{"role": "volunteer", "content": "I'd like to hear your reasoning :)", "session_id": 14259, "sequence_id": 125, "annotations": []}
{"role": "student", "content": "I thought it was just the ones I see in the g(x) domain those are the only two numbers that are same as the f(x)", "session_id": 14259, "sequence_id": 126, "annotations": []}
{"role": "volunteer", "content": "I see! So we actually want to look for numbers in the range of f that are also in the domain of g first", "session_id": 14259, "sequence_id": 127, "annotations": []}
{"role": "student", "content": "oh ok", "session_id": 14259, "sequence_id": 128, "annotations": []}
{"role": "volunteer", "content": "Can you circle those numbers in the range of f in different color?", "session_id": 14259, "sequence_id": 129, "annotations": []}
{"role": "volunteer", "content": "Those numbers in the range of f that are also in the domain of g", "session_id": 14259, "sequence_id": 130, "annotations": []}
{"role": "volunteer", "content": "We're checking this first because we need the numbers output by f to be able to be input into g", "session_id": 14259, "sequence_id": 131, "annotations": []}
{"role": "volunteer", "content": "Can you circle only the values in the range of f that are also in the domain of g?", "session_id": 14259, "sequence_id": 132, "annotations": []}
{"role": "volunteer", "content": "Okay!", "session_id": 14259, "sequence_id": 133, "annotations": []}
{"role": "volunteer", "content": "So to find the domain of g(f(x)), now we just see what values in the domain of f output those circled values", "session_id": 14259, "sequence_id": 134, "annotations": []}
{"role": "volunteer", "content": "Again, the circled values being outputs of f that can be input to g", "session_id": 14259, "sequence_id": 135, "annotations": []}
{"role": "volunteer", "content": "This is because the domain of g(f(x)) is values input to f that output values that can be passed again as inputs to g", "session_id": 14259, "sequence_id": 136, "annotations": []}
{"role": "volunteer", "content": "So overall, to find the domain of g(f(x)), you can find which inputs in the domain of f output 2 or 4", "session_id": 14259, "sequence_id": 137, "annotations": []}
{"role": "student", "content": "4 inputs are 1,4  2 inputs are 0", "session_id": 14259, "sequence_id": 138, "annotations": []}
{"role": "volunteer", "content": "very good!", "session_id": 14259, "sequence_id": 139, "annotations": []}
{"role": "volunteer", "content": "So what's the domain of g(f(x))?", "session_id": 14259, "sequence_id": 140, "annotations": []}
{"role": "student", "content": "0,1,2,4", "session_id": 14259, "sequence_id": 141, "annotations": []}
{"role": "volunteer", "content": "We only include input values from the domain. Not the red circled values", "session_id": 14259, "sequence_id": 142, "annotations": []}
{"role": "volunteer", "content": "We want the numbers in the domain of f that output the red circled numbers when passed to f", "session_id": 14259, "sequence_id": 143, "annotations": []}
{"role": "volunteer", "content": "Those numbers will be the domain of g(f(x))", "session_id": 14259, "sequence_id": 144, "annotations": []}
{"role": "student", "content": "1 and 0", "session_id": 14259, "sequence_id": 145, "annotations": []}
{"role": "volunteer", "content": "You identified them here: 4 inputs are 1,4 2 inputs are 0", "session_id": 14259, "sequence_id": 146, "annotations": []}
{"role": "volunteer", "content": "The domain is the input numbers to the circled numbers", "session_id": 14259, "sequence_id": 147, "annotations": []}
{"role": "volunteer", "content": "You're very close! Can you try again to find the domain of g(f(x))?", "session_id": 14259, "sequence_id": 148, "annotations": []}
{"role": "volunteer", "content": "The domain will be the values on the left of the highlighted yellow lines.", "session_id": 14259, "sequence_id": 149, "annotations": []}
{"role": "volunteer", "content": "You can see that these values in the domain of f output values in the domain of g!", "session_id": 14259, "sequence_id": 150, "annotations": []}
{"role": "student", "content": "yes", "session_id": 14259, "sequence_id": 151, "annotations": []}
{"role": "student", "content": "0,1,4", "session_id": 14259, "sequence_id": 152, "annotations": []}
{"role": "volunteer", "content": "yes!", "session_id": 14259, "sequence_id": 153, "annotations": []}
{"role": "volunteer", "content": "Next let's find the range of g(f(x))", "session_id": 14259, "sequence_id": 154, "annotations": []}
{"role": "volunteer", "content": "Now, can you choose a new color and circle the values in the domain of g that are also in the range of f?", "session_id": 14259, "sequence_id": 155, "annotations": []}
{"role": "volunteer", "content": "Can you circle values in the domain of g, not the range?", "session_id": 14259, "sequence_id": 156, "annotations": []}
{"role": "volunteer", "content": "Is five also in the range of f?", "session_id": 14259, "sequence_id": 157, "annotations": []}
{"role": "student", "content": "yes", "session_id": 14259, "sequence_id": 158, "annotations": []}
{"role": "volunteer", "content": "Can you circle 5 in the range of f?", "session_id": 14259, "sequence_id": 159, "annotations": []}
{"role": "volunteer", "content": "If you can't circle 5 in the range of 5, that means 5 isn't in both the range of f and the domain of g", "session_id": 14259, "sequence_id": 160, "annotations": []}
{"role": "student", "content": "oh ok", "session_id": 14259, "sequence_id": 161, "annotations": []}
{"role": "volunteer", "content": "The values you want to circle in pink in the domain of g are the values you circled in red in the range of f!", "session_id": 14259, "sequence_id": 162, "annotations": []}
{"role": "volunteer", "content": "That's because those values were the numbers that were both in the range of f and the domain of g", "session_id": 14259, "sequence_id": 163, "annotations": []}
{"role": "volunteer", "content": "Now we want to find and circle those same numbers, but this time, in the domain of g", "session_id": 14259, "sequence_id": 164, "annotations": []}
{"role": "volunteer", "content": "Can you explain why you circled 5?", "session_id": 14259, "sequence_id": 165, "annotations": []}
{"role": "volunteer", "content": "Liam, are you still there?", "session_id": 14259, "sequence_id": 166, "annotations": [{"pii_type": "PERSON", "surrogate": "Liam", "start": 0, "end": 4}]}
{"role": "student", "content": "yes", "session_id": 14259, "sequence_id": 167, "annotations": []}
{"role": "volunteer", "content": "Can you explain why you circled 5 and not 4?", "session_id": 14259, "sequence_id": 168, "annotations": []}
{"role": "volunteer", "content": "How are you feeling? We've been working for over 3 hours", "session_id": 14259, "sequence_id": 169, "annotations": []}
{"role": "student", "content": "ok", "session_id": 14259, "sequence_id": 170, "annotations": []}
{"role": "volunteer", "content": "Okay! Are you still thinking about how to answer my question?", "session_id": 14259, "sequence_id": 171, "annotations": []}
{"role": "student", "content": "yes", "session_id": 14259, "sequence_id": 172, "annotations": []}
{"role": "volunteer", "content": "okay :)", "session_id": 14259, "sequence_id": 173, "annotations": []}
{"role": "volunteer", "content": "Liam, I think I'm going to end the session now because I think it would be good for you to take a break. Over three hours is a long time to be doing math", "session_id": 14259, "sequence_id": 174, "annotations": [{"pii_type": "PERSON", "surrogate": "Liam", "start": 0, "end": 4}]}
{"role": "volunteer", "content": "Do you have any final questions? :)", "session_id": 14259, "sequence_id": 175, "annotations": []}
{"role": "student", "content": "no", "session_id": 14259, "sequence_id": 176, "annotations": []}
{"role": "volunteer", "content": "Okay! Have a nice day :)", "session_id": 14259, "sequence_id": 177, "annotations": []}
{"role": "volunteer", "content": "Great work today!", "session_id": 14259, "sequence_id": 178, "annotations": []}
{"role": "student", "content": "thank you", "session_id": 14259, "sequence_id": 179, "annotations": []}
{"role": "volunteer", "content": "Hi, what are we working on?", "session_id": 14467, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "Hello, I'm using my voice type because I think it's so much easier and faster to communicate", "session_id": 14467, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "Hello", "session_id": 14467, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "Sorry.", "session_id": 14467, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "Hello hello.", "session_id": 14467, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "Um, so I'll upload what I'm taking a picture or what I'm doing.", "session_id": 14467, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "Sure", "session_id": 14467, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "So I kind of started on this problem.", "session_id": 14467, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "but", "session_id": 14467, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "sorry, it's loading", "session_id": 14467, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "No worries. OK, let's see.", "session_id": 14467, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "Let me know if you want me to zoom in", "session_id": 14467, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "Nope, it's fine. I can zoom in on my end as well. Uh, so this is problem 8, right?", "session_id": 14467, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "Yep", "session_id": 14467, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 14467, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "Great", "session_id": 14467, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "So distribution for the selling price is approximately normal.", "session_id": 14467, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "and we have the mean and standard deviation. OK, so it looks like you started eliminating some of the options, right?", "session_id": 14467, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "Yeah, I don't know if they're necessarily right, but", "session_id": 14467, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 14467, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "Sure", "session_id": 14467, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "yeah, my work's down below. So I understand that um the 68th percentile is between", "session_id": 14467, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "uh like the first two bars and then the", "session_id": 14467, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "Mhm", "session_id": 14467, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 14467, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "2, I don't really know how to say it, uh, the like, yeah, the bars or like the first bar I guess, and then the 3 balls is, yeah.", "session_id": 14467, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "So", "session_id": 14467, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "So 68% are within one standard deviation.", "session_id": 14467, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 14467, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "Uh", "session_id": 14467, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "little different than percentile, so make sure you're being careful with that.", "session_id": 14467, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "Um", "session_id": 14467, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "Um, OK, so", "session_id": 14467, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "what's the", "session_id": 14467, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "difference", "session_id": 14467, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "uh, yeah, so percentile is 68th percentile would mean 68% of the samples are", "session_id": 14467, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "below that point, but um, like, here, let me draw. Oh God, sorry, this is a terrible bell curve. Um", "session_id": 14467, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "but", "session_id": 14467, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "uh, 68% are between this range.", "session_id": 14467, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "which is, so if this is the me in here.", "session_id": 14467, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "then this is 68% of the sam samples.", "session_id": 14467, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "Yeah, OK, I get that.", "session_id": 14467, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "Yeah, but 68th percentile would be somewhere like", "session_id": 14467, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "year-ish maybe, uh.", "session_id": 14467, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "and then extend all the way to the bottom.", "session_id": 14467, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "Does that make sense", "session_id": 14467, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "Um", "session_id": 14467, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "OK, so", "session_id": 14467, "sequence_id": 47, "annotations": []}
{"role": "student", "content": "you", "session_id": 14467, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "It's not super important for this question, but I just want to be sure", "session_id": 14467, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "uh, you know what the 68% refers to here.", "session_id": 14467, "sequence_id": 50, "annotations": []}
{"role": "student", "content": "hm", "session_id": 14467, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "OK, could you explain that one more time? Sorry.", "session_id": 14467, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "Yeah, so, OK, um, let's do it with the numbers. So we have the mean is 19,500,500, uh, so the mean minus 1 standard deviation is", "session_id": 14467, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "uh hold up, let me get out a calculator.", "session_id": 14467, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "Uh", "session_id": 14467, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "2500 minus 2260.", "session_id": 14467, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "is 17,240.", "session_id": 14467, "sequence_id": 57, "annotations": []}
{"role": "student", "content": "Um, so, how do you, OK.", "session_id": 14467, "sequence_id": 58, "annotations": []}
{"role": "student", "content": "so what I understood was that like.", "session_id": 14467, "sequence_id": 59, "annotations": []}
{"role": "student", "content": "OK, so between", "session_id": 14467, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "Uh-huh.", "session_id": 14467, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "Mhm", "session_id": 14467, "sequence_id": 62, "annotations": []}
{"role": "student", "content": "what you said, the 68%, um, so I do like 19 or 19,500 19,500 to get my, like, I don't know what that's called the upper back, like I don't", "session_id": 14467, "sequence_id": 63, "annotations": []}
{"role": "student", "content": "know.", "session_id": 14467, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "Yeah, upper bound works, yup.", "session_id": 14467, "sequence_id": 65, "annotations": []}
{"role": "student", "content": "OK, upper bound, um, and then, uh, so to get your lower, you just subtract 2260", "session_id": 14467, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "Yes, exactly", "session_id": 14467, "sequence_id": 67, "annotations": []}
{"role": "student", "content": "and then um for the 95%, so then you would just, um, so you've multiplied 2 times, 2260, and then subtract that from 19,500.", "session_id": 14467, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "Yup, exactly", "session_id": 14467, "sequence_id": 69, "annotations": []}
{"role": "student", "content": "Oh, OK, OK. I just didn't know how to do that, but now I do.", "session_id": 14467, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "OK, yeah, great, exactly like that.", "session_id": 14467, "sequence_id": 71, "annotations": []}
{"role": "student", "content": "OK, I'm gonna do that really quick for all of them.", "session_id": 14467, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "OK, yeah", "session_id": 14467, "sequence_id": 73, "annotations": []}
{"role": "student", "content": "Oh, I'll take me a second", "session_id": 14467, "sequence_id": 74, "annotations": []}
{"role": "volunteer", "content": "Yeah, no problem", "session_id": 14467, "sequence_id": 75, "annotations": []}
{"role": "student", "content": "Sorry, I'm someone who types really slow and like calculator.", "session_id": 14467, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "No, it's OK. I am using my phone calculator, so it's kind of slow too.", "session_id": 14467, "sequence_id": 77, "annotations": []}
{"role": "student", "content": "OK, I have them.", "session_id": 14467, "sequence_id": 78, "annotations": []}
{"role": "student", "content": "So I have the upper and lower bound, so", "session_id": 14467, "sequence_id": 79, "annotations": []}
{"role": "student", "content": "um", "session_id": 14467, "sequence_id": 80, "annotations": []}
{"role": "student", "content": "when", "session_id": 14467, "sequence_id": 81, "annotations": []}
{"role": "volunteer", "content": "Mhm", "session_id": 14467, "sequence_id": 82, "annotations": []}
{"role": "student", "content": "OK, I understand how to do that now, but now I'm kind of still confused like", "session_id": 14467, "sequence_id": 83, "annotations": []}
{"role": "volunteer", "content": "Mhm", "session_id": 14467, "sequence_id": 84, "annotations": []}
{"role": "volunteer", "content": "Mhm", "session_id": 14467, "sequence_id": 85, "annotations": []}
{"role": "student", "content": "so when it says approximately 68% of all used Toyota Camrys help selling prices between 149,802,400,020. um", "session_id": 14467, "sequence_id": 86, "annotations": []}
{"role": "student", "content": "well, that's not right, is it?", "session_id": 14467, "sequence_id": 87, "annotations": []}
{"role": "student", "content": "We have our upper and lower bound.", "session_id": 14467, "sequence_id": 88, "annotations": []}
{"role": "volunteer", "content": "No, because, uh, so our lower ground was higher than that. Yeah.", "session_id": 14467, "sequence_id": 89, "annotations": []}
{"role": "student", "content": "Right. OK. And then the maximum selling price of a used Toyota Camry is 26,280. Um, is that, that's right because the 99.7% is to like that that's right, right?", "session_id": 14467, "sequence_id": 90, "annotations": []}
{"role": "volunteer", "content": "But that's 99.7%.", "session_id": 14467, "sequence_id": 91, "annotations": []}
{"role": "student", "content": "So, but yeah, that's why I was like, uh, what is the maximum?", "session_id": 14467, "sequence_id": 92, "annotations": []}
{"role": "volunteer", "content": "Yeah, so there's still some above that, basically.", "session_id": 14467, "sequence_id": 93, "annotations": []}
{"role": "student", "content": "Right, OK, OK", "session_id": 14467, "sequence_id": 94, "annotations": []}
{"role": "student", "content": "That's why I kind of left the mark because it's 99.7%%.", "session_id": 14467, "sequence_id": 95, "annotations": []}
{"role": "volunteer", "content": "Yeah, if it's uh generally for normal distribution, you don't know what the maximum is.", "session_id": 14467, "sequence_id": 96, "annotations": []}
{"role": "student", "content": "OK, I'm gonna write a note", "session_id": 14467, "sequence_id": 97, "annotations": []}
{"role": "student", "content": "Um, and then see approximately 95% of all used Toyota Camrys have selling prices between 12,720 and 26,000,280", "session_id": 14467, "sequence_id": 98, "annotations": []}
{"role": "student", "content": "Um", "session_id": 14467, "sequence_id": 99, "annotations": []}
{"role": "student", "content": "that's not right either because the lower bound is 14,980.", "session_id": 14467, "sequence_id": 100, "annotations": []}
{"role": "volunteer", "content": "Yup, that's what I got too.", "session_id": 14467, "sequence_id": 101, "annotations": []}
{"role": "student", "content": "And then approximately 16% of all used Toyota Camrys half selling purses less than 17,240. Uh, I don't really understand that, but if we're doing the same thing that we've been doing", "session_id": 14467, "sequence_id": 102, "annotations": []}
{"role": "student", "content": "um, that wouldn't make sense at all, right, because", "session_id": 14467, "sequence_id": 103, "annotations": []}
{"role": "volunteer", "content": "Good.", "session_id": 14467, "sequence_id": 104, "annotations": []}
{"role": "student", "content": "wait, I don't know. Well, I feel like that wouldn't make sense because", "session_id": 14467, "sequence_id": 105, "annotations": []}
{"role": "student", "content": "um 68%, the lower bound is what it says in the um answer.", "session_id": 14467, "sequence_id": 106, "annotations": []}
{"role": "student", "content": "So how would it be 6% like.", "session_id": 14467, "sequence_id": 107, "annotations": []}
{"role": "volunteer", "content": "OK, yeah, so this is a neat trick you can do with a normal distribution. OK, let me draw a fresh one because that first one is terrible.", "session_id": 14467, "sequence_id": 108, "annotations": []}
{"role": "volunteer", "content": "So when you have the mean here.", "session_id": 14467, "sequence_id": 109, "annotations": []}
{"role": "volunteer", "content": "Uh, do you know what percent is between the mean and like the lowest value.", "session_id": 14467, "sequence_id": 110, "annotations": []}
{"role": "student", "content": "um 50%?", "session_id": 14467, "sequence_id": 111, "annotations": []}
{"role": "volunteer", "content": "Yep, exactly. So this side is going to be 50%.", "session_id": 14467, "sequence_id": 112, "annotations": []}
{"role": "volunteer", "content": "Um, and then if you take within one standard deviation. So between here and here, we know from before that this is going to be 68%, right?", "session_id": 14467, "sequence_id": 113, "annotations": []}
{"role": "student", "content": "Um", "session_id": 14467, "sequence_id": 114, "annotations": []}
{"role": "student", "content": "Yeah.", "session_id": 14467, "sequence_id": 115, "annotations": []}
{"role": "volunteer", "content": "OK, so what part of that 68%", "session_id": 14467, "sequence_id": 116, "annotations": []}
{"role": "volunteer", "content": "will be", "session_id": 14467, "sequence_id": 117, "annotations": []}
{"role": "volunteer", "content": "on the left side.", "session_id": 14467, "sequence_id": 118, "annotations": []}
{"role": "student", "content": "OK, um, for that,", "session_id": 14467, "sequence_id": 119, "annotations": []}
{"role": "volunteer", "content": "So, basically what percent is in this little area.", "session_id": 14467, "sequence_id": 120, "annotations": []}
{"role": "student", "content": "OK, well, I don't get is like", "session_id": 14467, "sequence_id": 121, "annotations": []}
{"role": "volunteer", "content": "Uh-huh", "session_id": 14467, "sequence_id": 122, "annotations": []}
{"role": "student", "content": "so I get the 50%, um, so writing the two other bars on the other side, I, I don't get like why are we doing that?", "session_id": 14467, "sequence_id": 123, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 14467, "sequence_id": 124, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 14467, "sequence_id": 125, "annotations": []}
{"role": "volunteer", "content": "Yeah, so, um", "session_id": 14467, "sequence_id": 126, "annotations": []}
{"role": "student", "content": "Mhm, yeah", "session_id": 14467, "sequence_id": 127, "annotations": []}
{"role": "volunteer", "content": "with a normal distribution, you know, like the 68 and the 95 and the 99.7, right? So anything else, any other percentages, you have to figure out using those. So, uh, it's kind of like a little, a mini algebra problem. So if you have uh this area is 68%, and you want to find what this little area here is, so if we call that X,", "session_id": 14467, "sequence_id": 128, "annotations": []}
{"role": "volunteer", "content": "right.", "session_id": 14467, "sequence_id": 129, "annotations": []}
{"role": "student", "content": "OK", "session_id": 14467, "sequence_id": 130, "annotations": []}
{"role": "student", "content": "We just subtract it", "session_id": 14467, "sequence_id": 131, "annotations": []}
{"role": "volunteer", "content": "then, uh, you basically have two acts equal to 68.", "session_id": 14467, "sequence_id": 132, "annotations": []}
{"role": "student", "content": "OK, I just don't", "session_id": 14467, "sequence_id": 133, "annotations": []}
{"role": "student", "content": "OK, I, I think I might understand that. I also just don't", "session_id": 14467, "sequence_id": 134, "annotations": []}
{"role": "student", "content": "um", "session_id": 14467, "sequence_id": 135, "annotations": []}
{"role": "student", "content": "OK, could we do like an example question that's just like exactly that it's a different percentages to make sure I like actually understand what you're saying right now.", "session_id": 14467, "sequence_id": 136, "annotations": []}
{"role": "student", "content": "Makes sense", "session_id": 14467, "sequence_id": 137, "annotations": []}
{"role": "volunteer", "content": "Yeah, sure. So, um", "session_id": 14467, "sequence_id": 138, "annotations": []}
{"role": "volunteer", "content": "if you have some type of a distribution, right? Maybe it's not exactly normal. And I tell you", "session_id": 14467, "sequence_id": 139, "annotations": []}
{"role": "volunteer", "content": "that this part is like 50%.", "session_id": 14467, "sequence_id": 140, "annotations": []}
{"role": "volunteer", "content": "um", "session_id": 14467, "sequence_id": 141, "annotations": []}
{"role": "volunteer", "content": "which probably isn't for this one, but it doesn't really matter what the picture looks like.", "session_id": 14467, "sequence_id": 142, "annotations": []}
{"role": "volunteer", "content": "And then I tell you that uh", "session_id": 14467, "sequence_id": 143, "annotations": []}
{"role": "volunteer", "content": "this part around here, it is uh like", "session_id": 14467, "sequence_id": 144, "annotations": []}
{"role": "volunteer", "content": "60%", "session_id": 14467, "sequence_id": 145, "annotations": []}
{"role": "volunteer", "content": "And then I want you to find the overlap basically.", "session_id": 14467, "sequence_id": 146, "annotations": []}
{"role": "volunteer", "content": "Uh, so if you assume that these", "session_id": 14467, "sequence_id": 147, "annotations": []}
{"role": "volunteer", "content": "that this is like the midpoint. So, uh", "session_id": 14467, "sequence_id": 148, "annotations": []}
{"role": "volunteer", "content": "yeah.", "session_id": 14467, "sequence_id": 149, "annotations": []}
{"role": "student", "content": "OK", "session_id": 14467, "sequence_id": 150, "annotations": []}
{"role": "volunteer", "content": "So if I want you to find it in this like shaded region here.", "session_id": 14467, "sequence_id": 151, "annotations": []}
{"role": "volunteer", "content": "Mhm", "session_id": 14467, "sequence_id": 152, "annotations": []}
{"role": "student", "content": "That, that would be like 10% of like or I, I don't like, yeah, I really don't get that, um, cause 60, it doesn't like make sense in my brain how, OK, if it's 50% is over 50% over to the right. Um,", "session_id": 14467, "sequence_id": 153, "annotations": []}
{"role": "student", "content": "or so, yeah, to the right, um, and then you have 60%, but how is the 60% overlapping the 50%. That does not make sense.", "session_id": 14467, "sequence_id": 154, "annotations": []}
{"role": "volunteer", "content": "Yeah, good question, right? So let's say you have some numbers in, in your normal distribution. So, uh, you know that the cars um", "session_id": 14467, "sequence_id": 155, "annotations": []}
{"role": "volunteer", "content": "some of it", "session_id": 14467, "sequence_id": 156, "annotations": []}
{"role": "student", "content": "Yeah.", "session_id": 14467, "sequence_id": 157, "annotations": []}
{"role": "volunteer", "content": "it's like 19,500, right? And let's say I want to find uh", "session_id": 14467, "sequence_id": 158, "annotations": []}
{"role": "volunteer", "content": "if I ask you what percent of the cars are $19,500 or less. You would say 50%, right? Because that's the mean.", "session_id": 14467, "sequence_id": 159, "annotations": []}
{"role": "student", "content": "OK", "session_id": 14467, "sequence_id": 160, "annotations": []}
{"role": "volunteer", "content": "Um, but then if I ask you like, oh, what percent are between 1,950,017,240.", "session_id": 14467, "sequence_id": 161, "annotations": []}
{"role": "volunteer", "content": "Right, like between the mean and one standard deviation.", "session_id": 14467, "sequence_id": 162, "annotations": []}
{"role": "volunteer", "content": "instead of 2", "session_id": 14467, "sequence_id": 163, "annotations": []}
{"role": "student", "content": "OK", "session_id": 14467, "sequence_id": 164, "annotations": []}
{"role": "volunteer", "content": "Uh, does that make sense", "session_id": 14467, "sequence_id": 165, "annotations": []}
{"role": "student", "content": "Kind of", "session_id": 14467, "sequence_id": 166, "annotations": []}
{"role": "student", "content": "I think", "session_id": 14467, "sequence_id": 167, "annotations": []}
{"role": "student", "content": "maybe I should just", "session_id": 14467, "sequence_id": 168, "annotations": []}
{"role": "student", "content": "yeah, I don't really, yeah, I'm not really sure why not understanding that, but we can just move on to the next problem, I think, cause", "session_id": 14467, "sequence_id": 169, "annotations": []}
{"role": "student", "content": "I don't, yeah", "session_id": 14467, "sequence_id": 170, "annotations": []}
{"role": "student", "content": "I don't.", "session_id": 14467, "sequence_id": 171, "annotations": []}
{"role": "volunteer", "content": "OK, are you sure", "session_id": 14467, "sequence_id": 172, "annotations": []}
{"role": "student", "content": "Yeah, well, could you go back to the uh two X equals 68. Could you solve that? And maybe I can just understand it.", "session_id": 14467, "sequence_id": 173, "annotations": []}
{"role": "volunteer", "content": "Yeah, so basically if I'm saying, so I want to know what percent are between 17,240, so this is", "session_id": 14467, "sequence_id": 174, "annotations": []}
{"role": "student", "content": "And", "session_id": 14467, "sequence_id": 175, "annotations": []}
{"role": "volunteer", "content": "mean, uh, you write it as I'm just going to do M. I don't know if you do mu or M, but we'll just say, um, so m minus standard deviation, uh", "session_id": 14467, "sequence_id": 176, "annotations": []}
{"role": "volunteer", "content": "uh", "session_id": 14467, "sequence_id": 177, "annotations": []}
{"role": "volunteer", "content": "will work. And then this is M, right?", "session_id": 14467, "sequence_id": 178, "annotations": []}
{"role": "volunteer", "content": "So what percentage of the cars are between these two.", "session_id": 14467, "sequence_id": 179, "annotations": []}
{"role": "student", "content": "Um", "session_id": 14467, "sequence_id": 180, "annotations": []}
{"role": "volunteer", "content": "which is the same as like finding X here.", "session_id": 14467, "sequence_id": 181, "annotations": []}
{"role": "student", "content": "OK. Um, so I would, so like,", "session_id": 14467, "sequence_id": 182, "annotations": []}
{"role": "student", "content": "it, it would be so like the difference between 60 and 50?", "session_id": 14467, "sequence_id": 183, "annotations": []}
{"role": "student", "content": "or", "session_id": 14467, "sequence_id": 184, "annotations": []}
{"role": "student", "content": "OK", "session_id": 14467, "sequence_id": 185, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 14467, "sequence_id": 186, "annotations": []}
{"role": "volunteer", "content": "Uh and not exactly, um, so see here where I have the equation is going to be 2 x is equal to 68, right?", "session_id": 14467, "sequence_id": 187, "annotations": []}
{"role": "student", "content": "So I'm dividing 68 by 2.", "session_id": 14467, "sequence_id": 188, "annotations": []}
{"role": "volunteer", "content": "Yes. Does it make sense why, based on this picture, so 68 is just from this uh lower bound to this upper bound. So it's not like fully, uh, it goes further than the 50 does, because the 50 stops here and 68 is a different range.", "session_id": 14467, "sequence_id": 189, "annotations": []}
{"role": "student", "content": "OK", "session_id": 14467, "sequence_id": 190, "annotations": []}
{"role": "volunteer", "content": "Does that make sense", "session_id": 14467, "sequence_id": 191, "annotations": []}
{"role": "student", "content": "It makes sense why it goes straight, but I also just, yeah, I don't know why. I just can't like wrap my head around the fact that like the 68 like why is it going back?", "session_id": 14467, "sequence_id": 192, "annotations": []}
{"role": "student", "content": "and overlapping. Well, actually, I actually think I do get that. Um, OK, I do get that. It's just", "session_id": 14467, "sequence_id": 193, "annotations": []}
{"role": "student", "content": "the line", "session_id": 14467, "sequence_id": 194, "annotations": []}
{"role": "student", "content": "that the 6 starts at.", "session_id": 14467, "sequence_id": 195, "annotations": []}
{"role": "volunteer", "content": "Mhm", "session_id": 14467, "sequence_id": 196, "annotations": []}
{"role": "student", "content": "I guess that kind of keeps.", "session_id": 14467, "sequence_id": 197, "annotations": []}
{"role": "student", "content": "OK", "session_id": 14467, "sequence_id": 198, "annotations": []}
{"role": "volunteer", "content": "Yeah, so that's gonna be the 17,240 that you calculated earlier, right? One standard deviation below.", "session_id": 14467, "sequence_id": 199, "annotations": []}
{"role": "volunteer", "content": "And then, so that's where the 68% starts and it ends at the", "session_id": 14467, "sequence_id": 200, "annotations": []}
{"role": "volunteer", "content": "I forgot the number, but 19,500 plus 2260.", "session_id": 14467, "sequence_id": 201, "annotations": []}
{"role": "volunteer", "content": "right", "session_id": 14467, "sequence_id": 202, "annotations": []}
{"role": "student", "content": "OK", "session_id": 14467, "sequence_id": 203, "annotations": []}
{"role": "volunteer", "content": "So I want to know just what's between these two.", "session_id": 14467, "sequence_id": 204, "annotations": []}
{"role": "volunteer", "content": "Like what that basically", "session_id": 14467, "sequence_id": 205, "annotations": []}
{"role": "student", "content": "Mm", "session_id": 14467, "sequence_id": 206, "annotations": []}
{"role": "student", "content": "Mhm", "session_id": 14467, "sequence_id": 207, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 14467, "sequence_id": 208, "annotations": []}
{"role": "volunteer", "content": "The 50 doesn't really matter right now. It's going to come back in like a second. So I was kind of jumping ahead there, but you can, you don't have to worry about that for right now. Just, you know that you have 68% and it's like 2 X and you just want to find X", "session_id": 14467, "sequence_id": 209, "annotations": []}
{"role": "student", "content": "OK", "session_id": 14467, "sequence_id": 210, "annotations": []}
{"role": "student", "content": "OK", "session_id": 14467, "sequence_id": 211, "annotations": []}
{"role": "volunteer", "content": "Does that make sense", "session_id": 14467, "sequence_id": 212, "annotations": []}
{"role": "student", "content": "Yes, OK, I think I get that.", "session_id": 14467, "sequence_id": 213, "annotations": []}
{"role": "volunteer", "content": "OK, so what's X gonna be?", "session_id": 14467, "sequence_id": 214, "annotations": []}
{"role": "student", "content": "Um, but that's just 68 divided by 2, right?", "session_id": 14467, "sequence_id": 215, "annotations": []}
{"role": "volunteer", "content": "Yup.", "session_id": 14467, "sequence_id": 216, "annotations": []}
{"role": "volunteer", "content": "So", "session_id": 14467, "sequence_id": 217, "annotations": []}
{"role": "student", "content": "Um, so then 34", "session_id": 14467, "sequence_id": 218, "annotations": []}
{"role": "volunteer", "content": "yep, exactly. Um, so X is going to be 34. So now what I want you to find is how much is in this range. So below 17,240.", "session_id": 14467, "sequence_id": 219, "annotations": []}
{"role": "volunteer", "content": "Um", "session_id": 14467, "sequence_id": 220, "annotations": []}
{"role": "volunteer", "content": "and this is where the 50% comes in handy.", "session_id": 14467, "sequence_id": 221, "annotations": []}
{"role": "volunteer", "content": "because, so like you just said, uh, X is 34, right?", "session_id": 14467, "sequence_id": 222, "annotations": []}
{"role": "volunteer", "content": "So you know that uh uh A is 34 and over here you have 50. So if I just want to find the shaded region, what would it be?", "session_id": 14467, "sequence_id": 223, "annotations": []}
{"role": "student", "content": "Uh, just 50.", "session_id": 14467, "sequence_id": 224, "annotations": []}
{"role": "student", "content": "So.", "session_id": 14467, "sequence_id": 225, "annotations": []}
{"role": "volunteer", "content": "No, uh, sorry, the, uh, 50 goes all the way up to the X.", "session_id": 14467, "sequence_id": 226, "annotations": []}
{"role": "student", "content": "OK. Oh", "session_id": 14467, "sequence_id": 227, "annotations": []}
{"role": "volunteer", "content": "and I want to find the part without X.", "session_id": 14467, "sequence_id": 228, "annotations": []}
{"role": "student", "content": "um, OK, so if we know that X equals 34, then we would do 50 minus 34.", "session_id": 14467, "sequence_id": 229, "annotations": []}
{"role": "volunteer", "content": "Yep, which is", "session_id": 14467, "sequence_id": 230, "annotations": []}
{"role": "student", "content": "16, so that would be so the D would be correct.", "session_id": 14467, "sequence_id": 231, "annotations": []}
{"role": "volunteer", "content": "yes, does that make sense?", "session_id": 14467, "sequence_id": 232, "annotations": []}
{"role": "student", "content": "Yeah, it does", "session_id": 14467, "sequence_id": 233, "annotations": []}
{"role": "volunteer", "content": "OK, great. Sorry, I probably jumped ahead with the 50. I hope that wasn't too confusing.", "session_id": 14467, "sequence_id": 234, "annotations": []}
{"role": "student", "content": "No, it's OK. Um.", "session_id": 14467, "sequence_id": 235, "annotations": []}
{"role": "student", "content": "for, OK, and then", "session_id": 14467, "sequence_id": 236, "annotations": []}
{"role": "student", "content": "I'm just gonna read, um, approximately 97.5% of all used Toyota Camrys have selling prices less than 20, OK, so", "session_id": 14467, "sequence_id": 237, "annotations": []}
{"role": "student", "content": "that's not right because my", "session_id": 14467, "sequence_id": 238, "annotations": []}
{"role": "student", "content": "wait, actually, I don't even know because we would have to do the same.", "session_id": 14467, "sequence_id": 239, "annotations": []}
{"role": "volunteer", "content": "Yeah, you'd have to do the same thing except with the 95 instead of with 68.", "session_id": 14467, "sequence_id": 240, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 14467, "sequence_id": 241, "annotations": []}
{"role": "volunteer", "content": "um, which you're welcome to do it out if you'd like to make sure. Um, might be good practice, but if you want to go to the next problem, that's fine too.", "session_id": 14467, "sequence_id": 242, "annotations": []}
{"role": "student", "content": "OK, um", "session_id": 14467, "sequence_id": 243, "annotations": []}
{"role": "student", "content": "could, could you like kind of work it out with me so I could try and see if I can.", "session_id": 14467, "sequence_id": 244, "annotations": []}
{"role": "student", "content": "it.", "session_id": 14467, "sequence_id": 245, "annotations": []}
{"role": "volunteer", "content": "Yeah, sure. So, uh, basically, we, you have the bounds for the 95% from before, right?", "session_id": 14467, "sequence_id": 246, "annotations": []}
{"role": "student", "content": "Uh yeah", "session_id": 14467, "sequence_id": 247, "annotations": []}
{"role": "volunteer", "content": "Uh", "session_id": 14467, "sequence_id": 248, "annotations": []}
{"role": "student", "content": "from the 94 and 95.", "session_id": 14467, "sequence_id": 249, "annotations": []}
{"role": "volunteer", "content": "uh, sorry, 95, yeah", "session_id": 14467, "sequence_id": 250, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 14467, "sequence_id": 251, "annotations": []}
{"role": "volunteer", "content": "Uh, it was", "session_id": 14467, "sequence_id": 252, "annotations": []}
{"role": "volunteer", "content": "yeah", "session_id": 14467, "sequence_id": 253, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 14467, "sequence_id": 254, "annotations": []}
{"role": "student", "content": "Uh, 14,980 for the lower bound, and then the upper bound was 24,020.", "session_id": 14467, "sequence_id": 255, "annotations": []}
{"role": "volunteer", "content": "OK. Um, cool. So the way that we're going to do this now is we want to do 2 standard deviations instead of just one.", "session_id": 14467, "sequence_id": 256, "annotations": []}
{"role": "volunteer", "content": "Uh", "session_id": 14467, "sequence_id": 257, "annotations": []}
{"role": "student", "content": "So, um,", "session_id": 14467, "sequence_id": 258, "annotations": []}
{"role": "volunteer", "content": "you can also try to draw it if you want.", "session_id": 14467, "sequence_id": 259, "annotations": []}
{"role": "student", "content": "OK", "session_id": 14467, "sequence_id": 260, "annotations": []}
{"role": "volunteer", "content": "That might be helpful", "session_id": 14467, "sequence_id": 261, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 14467, "sequence_id": 262, "annotations": []}
{"role": "volunteer", "content": "Mm.", "session_id": 14467, "sequence_id": 263, "annotations": []}
{"role": "student", "content": "So it's", "session_id": 14467, "sequence_id": 264, "annotations": []}
{"role": "student", "content": "so I'd have to find", "session_id": 14467, "sequence_id": 265, "annotations": []}
{"role": "student", "content": "um", "session_id": 14467, "sequence_id": 266, "annotations": []}
{"role": "student", "content": "uh, I", "session_id": 14467, "sequence_id": 267, "annotations": []}
{"role": "student", "content": "drew", "session_id": 14467, "sequence_id": 268, "annotations": []}
{"role": "student", "content": "Yeah, could you go I explain a little bit.", "session_id": 14467, "sequence_id": 269, "annotations": []}
{"role": "volunteer", "content": "Yeah, let me try to scroll", "session_id": 14467, "sequence_id": 270, "annotations": []}
{"role": "volunteer", "content": "um", "session_id": 14467, "sequence_id": 271, "annotations": []}
{"role": "volunteer", "content": "yeah, so we just start with the, you know, a normal distribution, bell curve.", "session_id": 14467, "sequence_id": 272, "annotations": []}
{"role": "volunteer", "content": "and then I always just like to draw the midpoint, so I know where the meat is.", "session_id": 14467, "sequence_id": 273, "annotations": []}
{"role": "volunteer", "content": "So then you have one standard deviation.", "session_id": 14467, "sequence_id": 274, "annotations": []}
{"role": "volunteer", "content": "and then", "session_id": 14467, "sequence_id": 275, "annotations": []}
{"role": "volunteer", "content": "2 standard deviations.", "session_id": 14467, "sequence_id": 276, "annotations": []}
{"role": "volunteer", "content": "Right", "session_id": 14467, "sequence_id": 277, "annotations": []}
{"role": "volunteer", "content": "So you", "session_id": 14467, "sequence_id": 278, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 14467, "sequence_id": 279, "annotations": []}
{"role": "student", "content": "And then that would be the", "session_id": 14467, "sequence_id": 280, "annotations": []}
{"role": "student", "content": "well, that's the 90", "session_id": 14467, "sequence_id": 281, "annotations": []}
{"role": "student", "content": "5 %", "session_id": 14467, "sequence_id": 282, "annotations": []}
{"role": "volunteer", "content": "yeah, so that's gonna be 95% are between there.", "session_id": 14467, "sequence_id": 283, "annotations": []}
{"role": "student", "content": "Mhm", "session_id": 14467, "sequence_id": 284, "annotations": []}
{"role": "volunteer", "content": "Uh, so now like we did before, I want to like split it in half basically. So I just, so if we just want this part.", "session_id": 14467, "sequence_id": 285, "annotations": []}
{"role": "volunteer", "content": "uh, how would we get get that", "session_id": 14467, "sequence_id": 286, "annotations": []}
{"role": "student", "content": "Um", "session_id": 14467, "sequence_id": 287, "annotations": []}
{"role": "student", "content": "um", "session_id": 14467, "sequence_id": 288, "annotations": []}
{"role": "student", "content": "so the whole thing is 95, but we just wanted that part, um.", "session_id": 14467, "sequence_id": 289, "annotations": []}
{"role": "volunteer", "content": "just the half", "session_id": 14467, "sequence_id": 290, "annotations": []}
{"role": "student", "content": "What?", "session_id": 14467, "sequence_id": 291, "annotations": []}
{"role": "volunteer", "content": "That's, yeah, that's below the mean.", "session_id": 14467, "sequence_id": 292, "annotations": []}
{"role": "student", "content": "I don't know. Would you do something with like the 50% again or no?", "session_id": 14467, "sequence_id": 293, "annotations": []}
{"role": "volunteer", "content": "Uh, no, this is like what we did with the 68. So I drew like X and then X on the other side. So you can do the same thing here. If I say that this is X", "session_id": 14467, "sequence_id": 294, "annotations": []}
{"role": "volunteer", "content": "uh", "session_id": 14467, "sequence_id": 295, "annotations": []}
{"role": "volunteer", "content": "then what would this other part be?", "session_id": 14467, "sequence_id": 296, "annotations": []}
{"role": "student", "content": "Um", "session_id": 14467, "sequence_id": 297, "annotations": []}
{"role": "student", "content": "yeah, I don't know", "session_id": 14467, "sequence_id": 298, "annotations": []}
{"role": "student", "content": "OK", "session_id": 14467, "sequence_id": 299, "annotations": []}
{"role": "volunteer", "content": "OK, no worries. It's just, it's also gonna be X. It's because it's symmetric. So it's going to be the same on both sides.", "session_id": 14467, "sequence_id": 300, "annotations": []}
{"role": "student", "content": "Oh, OK", "session_id": 14467, "sequence_id": 301, "annotations": []}
{"role": "volunteer", "content": "Does that make sense?", "session_id": 14467, "sequence_id": 302, "annotations": []}
{"role": "student", "content": "Yeah, I get that", "session_id": 14467, "sequence_id": 303, "annotations": []}
{"role": "volunteer", "content": "OK, so then if we calculate x, uh", "session_id": 14467, "sequence_id": 304, "annotations": []}
{"role": "volunteer", "content": "it's just gonna be, um, what would it be?", "session_id": 14467, "sequence_id": 305, "annotations": []}
{"role": "student", "content": "And you calculate", "session_id": 14467, "sequence_id": 306, "annotations": []}
{"role": "student", "content": "X on both sides", "session_id": 14467, "sequence_id": 307, "annotations": []}
{"role": "student", "content": "Um", "session_id": 14467, "sequence_id": 308, "annotations": []}
{"role": "volunteer", "content": "Uh", "session_id": 14467, "sequence_id": 309, "annotations": []}
{"role": "volunteer", "content": "it doesn't really matter which side because it's, it's gonna be the same, but", "session_id": 14467, "sequence_id": 310, "annotations": []}
{"role": "student", "content": "so", "session_id": 14467, "sequence_id": 311, "annotations": []}
{"role": "student", "content": "wait", "session_id": 14467, "sequence_id": 312, "annotations": []}
{"role": "student", "content": "I don't really know like what you're asking, like 90.", "session_id": 14467, "sequence_id": 313, "annotations": []}
{"role": "volunteer", "content": "oh yeah, I just wanted to like, what is the value of X? Like, what is the number?", "session_id": 14467, "sequence_id": 314, "annotations": []}
{"role": "student", "content": "um", "session_id": 14467, "sequence_id": 315, "annotations": []}
{"role": "student", "content": "so does it", "session_id": 14467, "sequence_id": 316, "annotations": []}
{"role": "student", "content": "like for the first one, for 68 and 50, like why did we get two X? Like where was the 2 coming from, like 2 standard deviations away from them.", "session_id": 14467, "sequence_id": 317, "annotations": []}
{"role": "volunteer", "content": "Yeah, so it's X + X is 2 X.", "session_id": 14467, "sequence_id": 318, "annotations": []}
{"role": "student", "content": "OK, but for the um", "session_id": 14467, "sequence_id": 319, "annotations": []}
{"role": "student", "content": "the 2 x equals 68, like wasn't it only one X, so wouldn't it just be like 68.", "session_id": 14467, "sequence_id": 320, "annotations": []}
{"role": "volunteer", "content": "Oh, yeah, so I guess you can call this 2x if you want, but we don't need like all four parts. We only need this half.", "session_id": 14467, "sequence_id": 321, "annotations": []}
{"role": "student", "content": "OK", "session_id": 14467, "sequence_id": 322, "annotations": []}
{"role": "student", "content": "um,", "session_id": 14467, "sequence_id": 323, "annotations": []}
{"role": "student", "content": "yeah, I don't, I don't know. I think I'm just gonna ask my teacher about this cause like, I don't know why this is not registering in my brain right now.", "session_id": 14467, "sequence_id": 324, "annotations": []}
{"role": "student", "content": "You", "session_id": 14467, "sequence_id": 325, "annotations": []}
{"role": "volunteer", "content": "OK, no worries. Um, let me just walk you through and then you can think about it later and see if it makes more sense. Um, so basically the side is going to be 7.5.", "session_id": 14467, "sequence_id": 326, "annotations": []}
{"role": "volunteer", "content": "Uh", "session_id": 14467, "sequence_id": 327, "annotations": []}
{"role": "volunteer", "content": "and same on the side.", "session_id": 14467, "sequence_id": 328, "annotations": []}
{"role": "student", "content": "you just divided it by 2.", "session_id": 14467, "sequence_id": 329, "annotations": []}
{"role": "volunteer", "content": "Yup, just divided it by 2.", "session_id": 14467, "sequence_id": 330, "annotations": []}
{"role": "volunteer", "content": "Um", "session_id": 14467, "sequence_id": 331, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 14467, "sequence_id": 332, "annotations": []}
{"role": "volunteer", "content": "and then if you want to go, whatever percentage is in", "session_id": 14467, "sequence_id": 333, "annotations": []}
{"role": "volunteer", "content": "this range", "session_id": 14467, "sequence_id": 334, "annotations": []}
{"role": "volunteer", "content": "It's going to be um", "session_id": 14467, "sequence_id": 335, "annotations": []}
{"role": "volunteer", "content": "so you have the 50", "session_id": 14467, "sequence_id": 336, "annotations": []}
{"role": "volunteer", "content": "from the side all the way to the end.", "session_id": 14467, "sequence_id": 337, "annotations": []}
{"role": "volunteer", "content": "And then you have 47.5 from", "session_id": 14467, "sequence_id": 338, "annotations": []}
{"role": "volunteer", "content": "uh", "session_id": 14467, "sequence_id": 339, "annotations": []}
{"role": "volunteer", "content": "this region over here.", "session_id": 14467, "sequence_id": 340, "annotations": []}
{"role": "student", "content": "Uh", "session_id": 14467, "sequence_id": 341, "annotations": []}
{"role": "student", "content": "yeah.", "session_id": 14467, "sequence_id": 342, "annotations": []}
{"role": "volunteer", "content": "is going to give us the 97.5 from the problem.", "session_id": 14467, "sequence_id": 343, "annotations": []}
{"role": "volunteer", "content": "Does that make sense?", "session_id": 14467, "sequence_id": 344, "annotations": []}
{"role": "student", "content": "Oh, I think you just cut out.", "session_id": 14467, "sequence_id": 345, "annotations": []}
{"role": "volunteer", "content": "Oh, sorry. Um, yeah, I was just saying, so if you take, you have 50% from half of the curve.", "session_id": 14467, "sequence_id": 346, "annotations": []}
{"role": "volunteer", "content": "and then", "session_id": 14467, "sequence_id": 347, "annotations": []}
{"role": "volunteer", "content": "we want uh just this part that we just calculated, which is going to be 47.5.", "session_id": 14467, "sequence_id": 348, "annotations": []}
{"role": "volunteer", "content": "So if you add those, you get 97.5%, like it said in the problem.", "session_id": 14467, "sequence_id": 349, "annotations": []}
{"role": "student", "content": "Like, you add the 50% and the 47.5%.", "session_id": 14467, "sequence_id": 350, "annotations": []}
{"role": "volunteer", "content": "Yup.", "session_id": 14467, "sequence_id": 351, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 14467, "sequence_id": 352, "annotations": []}
{"role": "student", "content": "Um.", "session_id": 14467, "sequence_id": 353, "annotations": []}
{"role": "volunteer", "content": "And then um", "session_id": 14467, "sequence_id": 354, "annotations": []}
{"role": "volunteer", "content": "so this", "session_id": 14467, "sequence_id": 355, "annotations": []}
{"role": "student", "content": "what is like the 21,750 come into play.", "session_id": 14467, "sequence_id": 356, "annotations": []}
{"role": "volunteer", "content": "yeah, so, um, so what was the upper bound for the two standard deviations?", "session_id": 14467, "sequence_id": 357, "annotations": []}
{"role": "volunteer", "content": "I think it was, let's see.", "session_id": 14467, "sequence_id": 358, "annotations": []}
{"role": "volunteer", "content": "uh", "session_id": 14467, "sequence_id": 359, "annotations": []}
{"role": "student", "content": "It", "session_id": 14467, "sequence_id": 360, "annotations": []}
{"role": "volunteer", "content": "19,500.", "session_id": 14467, "sequence_id": 361, "annotations": []}
{"role": "volunteer", "content": "It was like 23,000 something, right?", "session_id": 14467, "sequence_id": 362, "annotations": []}
{"role": "student", "content": "um", "session_id": 14467, "sequence_id": 363, "annotations": []}
{"role": "student", "content": "sorry, I think it's glitching right now.", "session_id": 14467, "sequence_id": 364, "annotations": []}
{"role": "volunteer", "content": "Uh, sorry, I don't know my.", "session_id": 14467, "sequence_id": 365, "annotations": []}
{"role": "student", "content": "Oh, I, I can hear you now. I can hear you.", "session_id": 14467, "sequence_id": 366, "annotations": []}
{"role": "volunteer", "content": "Oh, OK, great. Um, so I was just gonna ask, what is the number that goes here, so 2 standard deviations above the mean.", "session_id": 14467, "sequence_id": 367, "annotations": []}
{"role": "student", "content": "Um", "session_id": 14467, "sequence_id": 368, "annotations": []}
{"role": "student", "content": "sorry, I don't know what's going on with my phone right now. It's like glitching.", "session_id": 14467, "sequence_id": 369, "annotations": []}
{"role": "student", "content": "Could you say something and see if it works.", "session_id": 14467, "sequence_id": 370, "annotations": []}
{"role": "volunteer", "content": "Uh, yeah, yeah", "session_id": 14467, "sequence_id": 371, "annotations": []}
{"role": "volunteer", "content": "Can you hear me", "session_id": 14467, "sequence_id": 372, "annotations": []}
{"role": "student", "content": "Yeah, that's weird. Uh, hold on.", "session_id": 14467, "sequence_id": 373, "annotations": []}
{"role": "student", "content": "OK, I think I can hear you now.", "session_id": 14467, "sequence_id": 374, "annotations": []}
{"role": "volunteer", "content": "OK. Uh", "session_id": 14467, "sequence_id": 375, "annotations": []}
{"role": "student", "content": "Oh, sorry.", "session_id": 14467, "sequence_id": 376, "annotations": []}
{"role": "volunteer", "content": "no worries", "session_id": 14467, "sequence_id": 377, "annotations": []}
{"role": "volunteer", "content": "Uh, yeah, last thing I said, I was just asking what value goes here. So this is 2 standard deviations above the mean.", "session_id": 14467, "sequence_id": 378, "annotations": []}
{"role": "student", "content": "Oh, so then wouldn't it be the 24,000?", "session_id": 14467, "sequence_id": 379, "annotations": []}
{"role": "volunteer", "content": "Yup, exactly, um, and that's what we got for the 97.5%, so you can see it's like not the same.", "session_id": 14467, "sequence_id": 380, "annotations": []}
{"role": "volunteer", "content": "as the one in the question", "session_id": 14467, "sequence_id": 381, "annotations": []}
{"role": "student", "content": "OK, yeah, OK.", "session_id": 14467, "sequence_id": 382, "annotations": []}
{"role": "volunteer", "content": "Does that make sense", "session_id": 14467, "sequence_id": 383, "annotations": []}
{"role": "student", "content": "Yeah.", "session_id": 14467, "sequence_id": 384, "annotations": []}
{"role": "volunteer", "content": "Yeah, I would say like try drawing it out yourself. It might make more sense also if you draw it on a real standard curve because then the symmetric stuff is easier to see.", "session_id": 14467, "sequence_id": 385, "annotations": []}
{"role": "volunteer", "content": "Um", "session_id": 14467, "sequence_id": 386, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 14467, "sequence_id": 387, "annotations": []}
{"role": "student", "content": "that was so difficult for me", "session_id": 14467, "sequence_id": 388, "annotations": []}
{"role": "volunteer", "content": "yeah, sorry, I can't draw very well.", "session_id": 14467, "sequence_id": 389, "annotations": []}
{"role": "student", "content": "No, it's um, OK, I'm gonna upload this next question.", "session_id": 14467, "sequence_id": 390, "annotations": []}
{"role": "student", "content": "Sorry, it's taking a second", "session_id": 14467, "sequence_id": 391, "annotations": []}
{"role": "student", "content": "Um", "session_id": 14467, "sequence_id": 392, "annotations": []}
{"role": "student", "content": "OK, can you see it", "session_id": 14467, "sequence_id": 393, "annotations": []}
{"role": "volunteer", "content": "Yup.", "session_id": 14467, "sequence_id": 394, "annotations": []}
{"role": "volunteer", "content": "OK, great", "session_id": 14467, "sequence_id": 395, "annotations": []}
{"role": "volunteer", "content": "Um", "session_id": 14467, "sequence_id": 396, "annotations": []}
{"role": "volunteer", "content": "4s are normally distributed", "session_id": 14467, "sequence_id": 397, "annotations": []}
{"role": "volunteer", "content": "Uh", "session_id": 14467, "sequence_id": 398, "annotations": []}
{"role": "volunteer", "content": "oh, I think it", "session_id": 14467, "sequence_id": 399, "annotations": []}
{"role": "volunteer", "content": "so it cut off with the meanness, but I can see the rest. So,", "session_id": 14467, "sequence_id": 400, "annotations": []}
{"role": "student", "content": "Uh, OK. The mean 150.", "session_id": 14467, "sequence_id": 401, "annotations": []}
{"role": "volunteer", "content": "OK, cool. And the standard deviation is 10.", "session_id": 14467, "sequence_id": 402, "annotations": []}
{"role": "student", "content": "Yeah.", "session_id": 14467, "sequence_id": 403, "annotations": []}
{"role": "volunteer", "content": "Elena scored 165 and her friend scored at the 75th percentile.", "session_id": 14467, "sequence_id": 404, "annotations": [{"pii_type": "PERSON", "surrogate": "Elena", "start": 0, "end": 5}]}
{"role": "volunteer", "content": "Um", "session_id": 14467, "sequence_id": 405, "annotations": []}
{"role": "student", "content": "OK. So, I, I'm gonna like try I like.", "session_id": 14467, "sequence_id": 406, "annotations": []}
{"role": "volunteer", "content": "yep", "session_id": 14467, "sequence_id": 407, "annotations": []}
{"role": "student", "content": "I, I know how to do this score. So I'm just gonna do that for Elena. Um,", "session_id": 14467, "sequence_id": 408, "annotations": [{"pii_type": "PERSON", "surrogate": "Elena", "start": 62, "end": 67}]}
{"role": "volunteer", "content": "Mhm", "session_id": 14467, "sequence_id": 409, "annotations": []}
{"role": "student", "content": "OK, so Elena's", "session_id": 14467, "sequence_id": 410, "annotations": [{"pii_type": "PERSON", "surrogate": "Elena", "start": 7, "end": 12}]}
{"role": "student", "content": "OK, so she scored 165", "session_id": 14467, "sequence_id": 411, "annotations": []}
{"role": "student", "content": "and then you subtract um", "session_id": 14467, "sequence_id": 412, "annotations": []}
{"role": "student", "content": "150/10.", "session_id": 14467, "sequence_id": 413, "annotations": []}
{"role": "student", "content": "So", "session_id": 14467, "sequence_id": 414, "annotations": []}
{"role": "student", "content": "but her deviation.", "session_id": 14467, "sequence_id": 415, "annotations": []}
{"role": "volunteer", "content": "Wait, sorry, it was the main", "session_id": 14467, "sequence_id": 416, "annotations": []}
{"role": "volunteer", "content": "150", "session_id": 14467, "sequence_id": 417, "annotations": []}
{"role": "student", "content": "Yeah.", "session_id": 14467, "sequence_id": 418, "annotations": []}
{"role": "volunteer", "content": "OK, cool", "session_id": 14467, "sequence_id": 419, "annotations": []}
{"role": "student", "content": "So then", "session_id": 14467, "sequence_id": 420, "annotations": []}
{"role": "student", "content": "under 65 minus 50 is 15, and then you just divide that by 10, so you get 1.5.", "session_id": 14467, "sequence_id": 421, "annotations": []}
{"role": "student", "content": "Um", "session_id": 14467, "sequence_id": 422, "annotations": []}
{"role": "volunteer", "content": "Yup, exactly", "session_id": 14467, "sequence_id": 423, "annotations": []}
{"role": "student", "content": "so that's Elena's um", "session_id": 14467, "sequence_id": 424, "annotations": [{"pii_type": "PERSON", "surrogate": "Elena", "start": 10, "end": 15}]}
{"role": "student", "content": "Z score", "session_id": 14467, "sequence_id": 425, "annotations": []}
{"role": "volunteer", "content": "Mhm", "session_id": 14467, "sequence_id": 426, "annotations": []}
{"role": "volunteer", "content": "Yup", "session_id": 14467, "sequence_id": 427, "annotations": []}
{"role": "student", "content": "I guess she's like 1.5 standard deviations above the mean is that.", "session_id": 14467, "sequence_id": 428, "annotations": []}
{"role": "student", "content": "OK, um", "session_id": 14467, "sequence_id": 429, "annotations": []}
{"role": "student", "content": "and then for um", "session_id": 14467, "sequence_id": 430, "annotations": []}
{"role": "student", "content": "uh Maria", "session_id": 14467, "sequence_id": 431, "annotations": [{"pii_type": "PERSON", "surrogate": "Maria", "start": 3, "end": 8}]}
{"role": "volunteer", "content": "Mhm", "session_id": 14467, "sequence_id": 432, "annotations": []}
{"role": "student", "content": "um, who scored in at the 75th percentile, I always forget, like, how to", "session_id": 14467, "sequence_id": 433, "annotations": []}
{"role": "student", "content": "do that", "session_id": 14467, "sequence_id": 434, "annotations": []}
{"role": "volunteer", "content": "Mhm. OK", "session_id": 14467, "sequence_id": 435, "annotations": []}
{"role": "student", "content": "Um, I don't know how to do this percenta like I've probably asked this 3 times, and I just forget every time. Do", "session_id": 14467, "sequence_id": 436, "annotations": []}
{"role": "student", "content": "like, I don't know if it's like you have to like write out the bell curve or like you just see like 0.75 times something.", "session_id": 14467, "sequence_id": 437, "annotations": []}
{"role": "student", "content": "I don't know", "session_id": 14467, "sequence_id": 438, "annotations": []}
{"role": "volunteer", "content": "You have to do out the bell curve.", "session_id": 14467, "sequence_id": 439, "annotations": []}
{"role": "student", "content": "You, you have to do the book curve.", "session_id": 14467, "sequence_id": 440, "annotations": []}
{"role": "volunteer", "content": "Yeah, at some point, you'll kind of start having like the common values memorized, um, but for now, I would say do the bell curve. Uh, so we want 1.5 standard deviations is where Elena is, right?", "session_id": 14467, "sequence_id": 441, "annotations": [{"pii_type": "PERSON", "surrogate": "Elena", "start": 179, "end": 184}]}
{"role": "student", "content": "So 68 percentile.", "session_id": 14467, "sequence_id": 442, "annotations": []}
{"role": "student", "content": "I don't know.", "session_id": 14467, "sequence_id": 443, "annotations": []}
{"role": "volunteer", "content": "Uh, how did you get that? Or did you just get it?", "session_id": 14467, "sequence_id": 444, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 14467, "sequence_id": 445, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 14467, "sequence_id": 446, "annotations": []}
{"role": "student", "content": "I have no idea. I just don't know like anything about the bell curve, like, everything I've done is just like", "session_id": 14467, "sequence_id": 447, "annotations": []}
{"role": "student", "content": "on calculator. I have not done the book er basically at all.", "session_id": 14467, "sequence_id": 448, "annotations": []}
{"role": "volunteer", "content": "Sure. So, OK, let's just start with uh", "session_id": 14467, "sequence_id": 449, "annotations": []}
{"role": "volunteer", "content": "um", "session_id": 14467, "sequence_id": 450, "annotations": []}
{"role": "volunteer", "content": "one standard deviation and do that, and then we'll use that to get 1.5, OK?", "session_id": 14467, "sequence_id": 451, "annotations": []}
{"role": "student", "content": "OK", "session_id": 14467, "sequence_id": 452, "annotations": []}
{"role": "volunteer", "content": "Um, so do you know what a percentile is.", "session_id": 14467, "sequence_id": 453, "annotations": []}
{"role": "student", "content": "Like, kind of like", "session_id": 14467, "sequence_id": 454, "annotations": []}
{"role": "student", "content": "this, I don't know, like I can find it. OK, so like when there's 10 numbers, right? I mean this is the simplest form of like 10 numbers and like the.", "session_id": 14467, "sequence_id": 455, "annotations": []}
{"role": "volunteer", "content": "Hm", "session_id": 14467, "sequence_id": 456, "annotations": []}
{"role": "student", "content": "when it's like with the 70th percentile and then I just will pick.", "session_id": 14467, "sequence_id": 457, "annotations": []}
{"role": "volunteer", "content": "Mm.", "session_id": 14467, "sequence_id": 458, "annotations": []}
{"role": "volunteer", "content": "Mhm.", "session_id": 14467, "sequence_id": 459, "annotations": []}
{"role": "student", "content": "whatever the 7th numbers, like I get that and I also know that there's like a way to find this 75th percentile, but like, dividing something and then I don't know some, I don't know, like you like the vibe and then you like multiply a value or something and then you like add it to like whatever it is or something. I don't.", "session_id": 14467, "sequence_id": 460, "annotations": []}
{"role": "volunteer", "content": "Yeah, so if you have to describe it in words. What does 75th percentile mean?", "session_id": 14467, "sequence_id": 461, "annotations": []}
{"role": "student", "content": "uh, 75.", "session_id": 14467, "sequence_id": 462, "annotations": []}
{"role": "student", "content": "like um", "session_id": 14467, "sequence_id": 463, "annotations": []}
{"role": "student", "content": "like people like uh you're like 70", "session_id": 14467, "sequence_id": 464, "annotations": []}
{"role": "student", "content": "like 75% of the people score like less than you or something. I don't know.", "session_id": 14467, "sequence_id": 465, "annotations": []}
{"role": "volunteer", "content": "Exactly, exactly", "session_id": 14467, "sequence_id": 466, "annotations": []}
{"role": "student", "content": "Or it's like even like the same as or less than you.", "session_id": 14467, "sequence_id": 467, "annotations": []}
{"role": "volunteer", "content": "Yeah, the same or lower, yeah.", "session_id": 14467, "sequence_id": 468, "annotations": []}
{"role": "student", "content": "Yeah.", "session_id": 14467, "sequence_id": 469, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 14467, "sequence_id": 470, "annotations": []}
{"role": "volunteer", "content": "Um, so we know Maria scored at the 75th percentile. So, uh, there's two ways to do it. You can either find the Z score of Maria's percentile or find the percentile for Daisy's Z score. I personally find it easier to do the percentile from the Z score.", "session_id": 14467, "sequence_id": 471, "annotations": [{"pii_type": "PERSON", "surrogate": "Maria", "start": 15, "end": 20}, {"pii_type": "PERSON", "surrogate": "Maria", "start": 122, "end": 127}, {"pii_type": "PERSON", "surrogate": "Daisy", "start": 168, "end": 173}]}
{"role": "volunteer", "content": "Um, so we're just going to start with that", "session_id": 14467, "sequence_id": 472, "annotations": []}
{"role": "student", "content": "OK. Does one involve like not doing the bell curve or do they both involve you both?", "session_id": 14467, "sequence_id": 473, "annotations": []}
{"role": "volunteer", "content": "No, you, you need the bella for both.", "session_id": 14467, "sequence_id": 474, "annotations": []}
{"role": "student", "content": "I hate the book", "session_id": 14467, "sequence_id": 475, "annotations": []}
{"role": "volunteer", "content": "Yeah, uh, for a normal distribution, you almost always need the bell curve.", "session_id": 14467, "sequence_id": 476, "annotations": []}
{"role": "student", "content": "OK", "session_id": 14467, "sequence_id": 477, "annotations": []}
{"role": "volunteer", "content": "OK, uh, so let's try um", "session_id": 14467, "sequence_id": 478, "annotations": []}
{"role": "volunteer", "content": "let's try shading this in like we did before. So I want to know what percentage is less than or equal to one standard deviation above the mean.", "session_id": 14467, "sequence_id": 479, "annotations": []}
{"role": "student", "content": "OK", "session_id": 14467, "sequence_id": 480, "annotations": []}
{"role": "volunteer", "content": "So this is just like we did on the previous problem, uh, because you know the 68 and the 95 and the 99.7.", "session_id": 14467, "sequence_id": 481, "annotations": []}
{"role": "volunteer", "content": "Right.", "session_id": 14467, "sequence_id": 482, "annotations": []}
{"role": "student", "content": "Yeah, I don't, I don't like get out like how am I supposed to draw like", "session_id": 14467, "sequence_id": 483, "annotations": []}
{"role": "student", "content": "um", "session_id": 14467, "sequence_id": 484, "annotations": []}
{"role": "student", "content": "I just feel like there's like no", "session_id": 14467, "sequence_id": 485, "annotations": []}
{"role": "student", "content": "I need like a formation or like a", "session_id": 14467, "sequence_id": 486, "annotations": []}
{"role": "student", "content": "I don't really know how to say it, like a way to like, like always draw like so.", "session_id": 14467, "sequence_id": 487, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 14467, "sequence_id": 488, "annotations": []}
{"role": "student", "content": "how like I don't know how many like lines I'm supposed to put for like where I'm like.", "session_id": 14467, "sequence_id": 489, "annotations": []}
{"role": "volunteer", "content": "So actually you can do it without drawing. For most people it's easier with the drawing, but let's try it without and see if that makes more sense to you.", "session_id": 14467, "sequence_id": 490, "annotations": []}
{"role": "student", "content": "OK, it probably will.", "session_id": 14467, "sequence_id": 491, "annotations": []}
{"role": "volunteer", "content": "OK, sure. So, um, let's say", "session_id": 14467, "sequence_id": 492, "annotations": []}
{"role": "student", "content": "OK", "session_id": 14467, "sequence_id": 493, "annotations": []}
{"role": "volunteer", "content": "uh, let's go within one standard deviation of the mean. So the mean 150, right? And the standard deviation is 10. So if I add ten. What percentage are between those.", "session_id": 14467, "sequence_id": 494, "annotations": []}
{"role": "student", "content": "Um, like", "session_id": 14467, "sequence_id": 495, "annotations": []}
{"role": "student", "content": "do you", "session_id": 14467, "sequence_id": 496, "annotations": []}
{"role": "student", "content": "like divide", "session_id": 14467, "sequence_id": 497, "annotations": []}
{"role": "student", "content": "like one", "session_id": 14467, "sequence_id": 498, "annotations": []}
{"role": "student", "content": "40", "session_id": 14467, "sequence_id": 499, "annotations": []}
{"role": "student", "content": "160 or do you try like the difference. I just don't know like what you're supposed to, like, what you're supposed to do.", "session_id": 14467, "sequence_id": 500, "annotations": []}
{"role": "volunteer", "content": "OK, so this is the mean, uh, I guess I'm gonna do mute this time, minus", "session_id": 14467, "sequence_id": 501, "annotations": []}
{"role": "student", "content": "So", "session_id": 14467, "sequence_id": 502, "annotations": []}
{"role": "volunteer", "content": "1 standard deviation.", "session_id": 14467, "sequence_id": 503, "annotations": []}
{"role": "student", "content": "yes", "session_id": 14467, "sequence_id": 504, "annotations": []}
{"role": "volunteer", "content": "uh, and then this is the mean plus one standard deviation.", "session_id": 14467, "sequence_id": 505, "annotations": []}
{"role": "volunteer", "content": "So for a normal distribution, what percent", "session_id": 14467, "sequence_id": 506, "annotations": []}
{"role": "volunteer", "content": "will that take up", "session_id": 14467, "sequence_id": 507, "annotations": []}
{"role": "student", "content": "so me minus uh standard deviation plus what you said?", "session_id": 14467, "sequence_id": 508, "annotations": []}
{"role": "volunteer", "content": "Uh, and then to the upper bound is mean plus the standard deviation.", "session_id": 14467, "sequence_id": 509, "annotations": []}
{"role": "student", "content": "OK, lower bound and then upper bound.", "session_id": 14467, "sequence_id": 510, "annotations": []}
{"role": "student", "content": "So, I just do um", "session_id": 14467, "sequence_id": 511, "annotations": []}
{"role": "student", "content": "so it's kind of like IQR yes, in a way.", "session_id": 14467, "sequence_id": 512, "annotations": []}
{"role": "volunteer", "content": "Kind of, um, let's try it the reverse way. So if you want to know like 6 the 68% range.", "session_id": 14467, "sequence_id": 513, "annotations": []}
{"role": "volunteer", "content": "How would you get it", "session_id": 14467, "sequence_id": 514, "annotations": []}
{"role": "student", "content": "Hm", "session_id": 14467, "sequence_id": 515, "annotations": []}
{"role": "student", "content": "Yeah, I, I have no idea. Like I didn't, I have no idea.", "session_id": 14467, "sequence_id": 516, "annotations": []}
{"role": "student", "content": "Yeah.", "session_id": 14467, "sequence_id": 517, "annotations": []}
{"role": "volunteer", "content": "No, no, it's, it's just like the last one, right? When it said, oh, which of these statements is false. There's 68% between these ranges. You knew what to do there, right?", "session_id": 14467, "sequence_id": 518, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 14467, "sequence_id": 519, "annotations": []}
{"role": "volunteer", "content": "So it's, it's just the same thing.", "session_id": 14467, "sequence_id": 520, "annotations": []}
{"role": "student", "content": "OK", "session_id": 14467, "sequence_id": 521, "annotations": []}
{"role": "volunteer", "content": "So if I want to know the range, that will be 68% of the test scores.", "session_id": 14467, "sequence_id": 522, "annotations": []}
{"role": "volunteer", "content": "How do I get it", "session_id": 14467, "sequence_id": 523, "annotations": []}
{"role": "student", "content": "So it, it'd be like 150.", "session_id": 14467, "sequence_id": 524, "annotations": []}
{"role": "volunteer", "content": "Yes, exactly", "session_id": 14467, "sequence_id": 525, "annotations": []}
{"role": "volunteer", "content": "Um, so now if I want the 95% range, how would I get it?", "session_id": 14467, "sequence_id": 526, "annotations": []}
{"role": "student", "content": "and the 95% range, um,", "session_id": 14467, "sequence_id": 527, "annotations": []}
{"role": "student", "content": "well", "session_id": 14467, "sequence_id": 528, "annotations": []}
{"role": "student", "content": "so we're find the 68% like", "session_id": 14467, "sequence_id": 529, "annotations": []}
{"role": "volunteer", "content": "Yeah, you found the 68%. It's 150, this is", "session_id": 14467, "sequence_id": 530, "annotations": []}
{"role": "volunteer", "content": "yeah, the mean is", "session_id": 14467, "sequence_id": 531, "annotations": []}
{"role": "student", "content": "like, but what was, what numbers were we using, so we were using 150 cause that's the mean minus 10 and then so do we have to", "session_id": 14467, "sequence_id": 532, "annotations": []}
{"role": "student", "content": "like find like the max like or like the, I don't know what you're supposed, I don't know.", "session_id": 14467, "sequence_id": 533, "annotations": []}
{"role": "student", "content": "Um", "session_id": 14467, "sequence_id": 534, "annotations": []}
{"role": "volunteer", "content": "So if I want to find in the 95% range, uh, so if I did one standard deviation for 68%.", "session_id": 14467, "sequence_id": 535, "annotations": []}
{"role": "volunteer", "content": "How would I do 95%?", "session_id": 14467, "sequence_id": 536, "annotations": []}
{"role": "student", "content": "Oh, you multiply the standard devi, so it'd be like 20.", "session_id": 14467, "sequence_id": 537, "annotations": []}
{"role": "volunteer", "content": "Yup.", "session_id": 14467, "sequence_id": 538, "annotations": []}
{"role": "volunteer", "content": "yep.", "session_id": 14467, "sequence_id": 539, "annotations": []}
{"role": "student", "content": "instead of 10. OK, I think I get that.", "session_id": 14467, "sequence_id": 540, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 14467, "sequence_id": 541, "annotations": []}
{"role": "student", "content": "So, so then you do", "session_id": 14467, "sequence_id": 542, "annotations": []}
{"role": "student", "content": "you still use the mean, but you do 150 minus 20", "session_id": 14467, "sequence_id": 543, "annotations": []}
{"role": "volunteer", "content": "Yup", "session_id": 14467, "sequence_id": 544, "annotations": []}
{"role": "student", "content": "and then", "session_id": 14467, "sequence_id": 545, "annotations": []}
{"role": "student", "content": "the lower bound", "session_id": 14467, "sequence_id": 546, "annotations": []}
{"role": "student", "content": "and then for the upper bound, you just, it'd 150 plus 20.", "session_id": 14467, "sequence_id": 547, "annotations": []}
{"role": "volunteer", "content": "yep, exactly", "session_id": 14467, "sequence_id": 548, "annotations": []}
{"role": "volunteer", "content": "OK. So that's going to be the 95% range. OK.", "session_id": 14467, "sequence_id": 549, "annotations": []}
{"role": "volunteer", "content": "So, now I want to ask, what percentage scored 170 or below.", "session_id": 14467, "sequence_id": 550, "annotations": []}
{"role": "student", "content": "What percentage scored 170 or below. Well, if we just found the range of 95%. Now you're asking for like", "session_id": 14467, "sequence_id": 551, "annotations": []}
{"role": "volunteer", "content": "Mhm", "session_id": 14467, "sequence_id": 552, "annotations": []}
{"role": "student", "content": "exact, so would that be like exactly 995 or I don't know cause that's what I don't get like, how can 95% be like a range, but then at the same time, like you're asking for like", "session_id": 14467, "sequence_id": 553, "annotations": []}
{"role": "volunteer", "content": "Mhm. Right, so 95% of people got between a 130 and a 170.", "session_id": 14467, "sequence_id": 554, "annotations": []}
{"role": "student", "content": "OK, so", "session_id": 14467, "sequence_id": 555, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 14467, "sequence_id": 556, "annotations": []}
{"role": "student", "content": "Yeah.", "session_id": 14467, "sequence_id": 557, "annotations": []}
{"role": "volunteer", "content": "So, and now I want to know what percentage 170 or below.", "session_id": 14467, "sequence_id": 558, "annotations": []}
{"role": "student", "content": "It'll be like 95%.", "session_id": 14467, "sequence_id": 559, "annotations": []}
{"role": "volunteer", "content": "So, 170 and 170 and below.", "session_id": 14467, "sequence_id": 560, "annotations": []}
{"role": "student", "content": "wouldn't that", "session_id": 14467, "sequence_id": 561, "annotations": []}
{"role": "student", "content": "still be 95%? Like you you draw in", "session_id": 14467, "sequence_id": 562, "annotations": []}
{"role": "volunteer", "content": "No, because some people got lower 170 and we're not counting that right now.", "session_id": 14467, "sequence_id": 563, "annotations": []}
{"role": "student", "content": "OK, so", "session_id": 14467, "sequence_id": 564, "annotations": []}
{"role": "student", "content": "uh, would you do like", "session_id": 14467, "sequence_id": 565, "annotations": []}
{"role": "student", "content": "um", "session_id": 14467, "sequence_id": 566, "annotations": []}
{"role": "student", "content": "170 minus 130.", "session_id": 14467, "sequence_id": 567, "annotations": []}
{"role": "volunteer", "content": "Uh", "session_id": 14467, "sequence_id": 568, "annotations": []}
{"role": "student", "content": "You get like the, I haven't, I don't know. Yeah, I don't know.", "session_id": 14467, "sequence_id": 569, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 14467, "sequence_id": 570, "annotations": []}
{"role": "volunteer", "content": "yeah, this is where the picture tends to help people, um, so if I put those numbers on this graph, maybe that'll help. So we 150 here.", "session_id": 14467, "sequence_id": 571, "annotations": []}
{"role": "volunteer", "content": "Uh, 1.", "session_id": 14467, "sequence_id": 572, "annotations": []}
{"role": "volunteer", "content": "60 here.", "session_id": 14467, "sequence_id": 573, "annotations": []}
{"role": "volunteer", "content": "Uh, and 140.", "session_id": 14467, "sequence_id": 574, "annotations": []}
{"role": "volunteer", "content": "Let's just start with those, and I wanna know like what percentage of people", "session_id": 14467, "sequence_id": 575, "annotations": []}
{"role": "volunteer", "content": "are in this range, basically. 170 all the way to the bottom.", "session_id": 14467, "sequence_id": 576, "annotations": []}
{"role": "student", "content": "Um", "session_id": 14467, "sequence_id": 577, "annotations": []}
{"role": "student", "content": "I like,", "session_id": 14467, "sequence_id": 578, "annotations": []}
{"role": "student", "content": "what it seems to me like is like, would you like keep", "session_id": 14467, "sequence_id": 579, "annotations": []}
{"role": "student", "content": "going down by 10, 130 31, like, but I don't know like when you're supposed to stop or like.", "session_id": 14467, "sequence_id": 580, "annotations": []}
{"role": "volunteer", "content": "It, it technically doesn't stop since this is like a test, like we know it's not gonna be below zero, but technically", "session_id": 14467, "sequence_id": 581, "annotations": []}
{"role": "student", "content": "OK", "session_id": 14467, "sequence_id": 582, "annotations": []}
{"role": "volunteer", "content": "it doesn't stop. So actually what we're going to do, OK, what percentage of people scored 150 or below.", "session_id": 14467, "sequence_id": 583, "annotations": []}
{"role": "student", "content": "um,", "session_id": 14467, "sequence_id": 584, "annotations": []}
{"role": "student", "content": "uh", "session_id": 14467, "sequence_id": 585, "annotations": []}
{"role": "student", "content": "68 I don't know.", "session_id": 14467, "sequence_id": 586, "annotations": []}
{"role": "student", "content": "I", "session_id": 14467, "sequence_id": 587, "annotations": []}
{"role": "volunteer", "content": "Uh, that's between 140 160.", "session_id": 14467, "sequence_id": 588, "annotations": []}
{"role": "volunteer", "content": "was 68%", "session_id": 14467, "sequence_id": 589, "annotations": []}
{"role": "volunteer", "content": "But I wanted to", "session_id": 14467, "sequence_id": 590, "annotations": []}
{"role": "student", "content": "well, between 140 and 150, right?", "session_id": 14467, "sequence_id": 591, "annotations": []}
{"role": "volunteer", "content": "150 is between 140 and 160, yeah.", "session_id": 14467, "sequence_id": 592, "annotations": []}
{"role": "student", "content": "So wouldn't it 68%%?", "session_id": 14467, "sequence_id": 593, "annotations": []}
{"role": "volunteer", "content": "Uh, not exactly. So what if someone scored 120?", "session_id": 14467, "sequence_id": 594, "annotations": []}
{"role": "volunteer", "content": "That's not in the 68%, right?", "session_id": 14467, "sequence_id": 595, "annotations": []}
{"role": "student", "content": "No, that would, yeah.", "session_id": 14467, "sequence_id": 596, "annotations": []}
{"role": "volunteer", "content": "But it is below 150.", "session_id": 14467, "sequence_id": 597, "annotations": []}
{"role": "student", "content": "So that wouldn't even be on the bell curt I don't.", "session_id": 14467, "sequence_id": 598, "annotations": []}
{"role": "volunteer", "content": "It would, it's like somewhere over here.", "session_id": 14467, "sequence_id": 599, "annotations": []}
{"role": "student", "content": "Oh, OK, so", "session_id": 14467, "sequence_id": 600, "annotations": []}
{"role": "student", "content": "yeah, I don't know", "session_id": 14467, "sequence_id": 601, "annotations": []}
{"role": "volunteer", "content": "OK. So it's actually just going to be 50%.", "session_id": 14467, "sequence_id": 602, "annotations": []}
{"role": "volunteer", "content": "It's always 50% below the mean.", "session_id": 14467, "sequence_id": 603, "annotations": []}
{"role": "student", "content": "Oh, what is the", "session_id": 14467, "sequence_id": 604, "annotations": []}
{"role": "volunteer", "content": "Uh, like 50% of the scores will be less than or equal to the mean.", "session_id": 14467, "sequence_id": 605, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 14467, "sequence_id": 606, "annotations": []}
{"role": "student", "content": "but", "session_id": 14467, "sequence_id": 607, "annotations": []}
{"role": "volunteer", "content": "Uh, 150 is the mean.", "session_id": 14467, "sequence_id": 608, "annotations": []}
{"role": "volunteer", "content": "So that basically is", "session_id": 14467, "sequence_id": 609, "annotations": []}
{"role": "student", "content": "00, OK, OK. Yeah, I did not. I guess I did on that first.", "session_id": 14467, "sequence_id": 610, "annotations": []}
{"role": "volunteer", "content": "yeah, so that's another way to say that uh this is the 50th percentile.", "session_id": 14467, "sequence_id": 611, "annotations": []}
{"role": "volunteer", "content": "Does that make sense", "session_id": 14467, "sequence_id": 612, "annotations": []}
{"role": "volunteer", "content": "Mhm", "session_id": 14467, "sequence_id": 613, "annotations": []}
{"role": "student", "content": "150, so that's the main, and then 50% something lower. I don't know.", "session_id": 14467, "sequence_id": 614, "annotations": []}
{"role": "volunteer", "content": "Yeah, cause remember what you said earlier, percentile is like,", "session_id": 14467, "sequence_id": 615, "annotations": []}
{"role": "volunteer", "content": "that much percent scored at that score below.", "session_id": 14467, "sequence_id": 616, "annotations": []}
{"role": "student", "content": "Yeah, yeah, jazz are less than, yeah, OK.", "session_id": 14467, "sequence_id": 617, "annotations": []}
{"role": "student", "content": "below", "session_id": 14467, "sequence_id": 618, "annotations": []}
{"role": "student", "content": "it.", "session_id": 14467, "sequence_id": 619, "annotations": []}
{"role": "volunteer", "content": "Yes, so, 50% scored 150 or below. That's the same thing as saying 50th percentile.", "session_id": 14467, "sequence_id": 620, "annotations": []}
{"role": "student", "content": "OK, OK", "session_id": 14467, "sequence_id": 621, "annotations": []}
{"role": "volunteer", "content": "That makes sense", "session_id": 14467, "sequence_id": 622, "annotations": []}
{"role": "student", "content": "Yeah, that does", "session_id": 14467, "sequence_id": 623, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 14467, "sequence_id": 624, "annotations": []}
{"role": "volunteer", "content": "great", "session_id": 14467, "sequence_id": 625, "annotations": []}
{"role": "volunteer", "content": "Uh, so now we want to know uh", "session_id": 14467, "sequence_id": 626, "annotations": []}
{"role": "student", "content": "OK", "session_id": 14467, "sequence_id": 627, "annotations": []}
{"role": "volunteer", "content": "what percentile 165 will be, right? Because we want to know what percentile Elena is.", "session_id": 14467, "sequence_id": 628, "annotations": [{"pii_type": "PERSON", "surrogate": "Elena", "start": 76, "end": 81}]}
{"role": "student", "content": "So like", "session_id": 14467, "sequence_id": 629, "annotations": []}
{"role": "student", "content": "we have the bars of like", "session_id": 14467, "sequence_id": 630, "annotations": []}
{"role": "volunteer", "content": "Mhm", "session_id": 14467, "sequence_id": 631, "annotations": []}
{"role": "student", "content": "160 and 170. So then we have to do like in the middle.", "session_id": 14467, "sequence_id": 632, "annotations": []}
{"role": "student", "content": "of that", "session_id": 14467, "sequence_id": 633, "annotations": []}
{"role": "student", "content": "So like do you put like X or like is there just like an easier way to, well, I guess cause then wouldn't it be like", "session_id": 14467, "sequence_id": 634, "annotations": []}
{"role": "student", "content": "between 150 and 160, that'd be", "session_id": 14467, "sequence_id": 635, "annotations": []}
{"role": "student", "content": "another 10%, like, wouldn't that be like", "session_id": 14467, "sequence_id": 636, "annotations": []}
{"role": "student", "content": "OK", "session_id": 14467, "sequence_id": 637, "annotations": []}
{"role": "volunteer", "content": "Uh, that's not 10%. That's like 10 points, but between one like between 140 and 160, we have 68%, right? Not 20%.", "session_id": 14467, "sequence_id": 638, "annotations": []}
{"role": "student", "content": "Oh, OK, so then", "session_id": 14467, "sequence_id": 639, "annotations": []}
{"role": "student", "content": "it would lie, like I guess in the 95th percentile.", "session_id": 14467, "sequence_id": 640, "annotations": []}
{"role": "student", "content": "But", "session_id": 14467, "sequence_id": 641, "annotations": []}
{"role": "volunteer", "content": "Uh", "session_id": 14467, "sequence_id": 642, "annotations": []}
{"role": "student", "content": "I", "session_id": 14467, "sequence_id": 643, "annotations": []}
{"role": "volunteer", "content": "so it's between the 95th percentile and what percentile?", "session_id": 14467, "sequence_id": 644, "annotations": []}
{"role": "student", "content": "the", "session_id": 14467, "sequence_id": 645, "annotations": []}
{"role": "student", "content": "68%, so I don't know.", "session_id": 14467, "sequence_id": 646, "annotations": []}
{"role": "volunteer", "content": "Yup, exactly. Um, so it's between the 68th percentile and the 95th percentile, so we know that", "session_id": 14467, "sequence_id": 647, "annotations": []}
{"role": "volunteer", "content": "Elena scored in this range. Uh, the problem is 75 is also in that range, so we need to be a little bit more specific.", "session_id": 14467, "sequence_id": 648, "annotations": [{"pii_type": "PERSON", "surrogate": "Elena", "start": 0, "end": 5}]}
{"role": "student", "content": "OK", "session_id": 14467, "sequence_id": 649, "annotations": []}
{"role": "volunteer", "content": "Um, and so she scored exactly halfway between 160 and 170.", "session_id": 14467, "sequence_id": 650, "annotations": []}
{"role": "volunteer", "content": "Right", "session_id": 14467, "sequence_id": 651, "annotations": []}
{"role": "student", "content": "170, yeah.", "session_id": 14467, "sequence_id": 652, "annotations": []}
{"role": "volunteer", "content": "So what, how do you think we'll get that percentile?", "session_id": 14467, "sequence_id": 653, "annotations": []}
{"role": "student", "content": "Um", "session_id": 14467, "sequence_id": 654, "annotations": []}
{"role": "student", "content": "do you do like", "session_id": 14467, "sequence_id": 655, "annotations": []}
{"role": "student", "content": "yeah, I, I really, I couldn't tell you.", "session_id": 14467, "sequence_id": 656, "annotations": []}
{"role": "volunteer", "content": "OK, 160 is at 68th percentile.", "session_id": 14467, "sequence_id": 657, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 14467, "sequence_id": 658, "annotations": []}
{"role": "volunteer", "content": "right? Like you just said.", "session_id": 14467, "sequence_id": 659, "annotations": []}
{"role": "volunteer", "content": "170 is at what percentile?", "session_id": 14467, "sequence_id": 660, "annotations": []}
{"role": "student", "content": "95", "session_id": 14467, "sequence_id": 661, "annotations": []}
{"role": "volunteer", "content": "Right. And I want to know what", "session_id": 14467, "sequence_id": 662, "annotations": []}
{"role": "student", "content": "You do like 90", "session_id": 14467, "sequence_id": 663, "annotations": []}
{"role": "student", "content": "what?", "session_id": 14467, "sequence_id": 664, "annotations": []}
{"role": "volunteer", "content": "Yeah, go ahead", "session_id": 14467, "sequence_id": 665, "annotations": []}
{"role": "student", "content": "this is definitely wrong. I just don't know. Do you do like 95, like minus 68 to find the 70. No, that's I", "session_id": 14467, "sequence_id": 666, "annotations": []}
{"role": "volunteer", "content": "Uh", "session_id": 14467, "sequence_id": 667, "annotations": []}
{"role": "student", "content": "OK", "session_id": 14467, "sequence_id": 668, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 14467, "sequence_id": 669, "annotations": []}
{"role": "volunteer", "content": "close, so 95 minus 68 will tell you what percentage is in this range, but we want to know", "session_id": 14467, "sequence_id": 670, "annotations": []}
{"role": "volunteer", "content": "uh, what, that'll tell you how much is between 160 and 170, but what you want to know 165 and below.", "session_id": 14467, "sequence_id": 671, "annotations": []}
{"role": "volunteer", "content": "Does that make sense", "session_id": 14467, "sequence_id": 672, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 14467, "sequence_id": 673, "annotations": []}
{"role": "volunteer", "content": "OK, so, um", "session_id": 14467, "sequence_id": 674, "annotations": []}
{"role": "volunteer", "content": "we want the point halfway between 160 and 170. So that's halfway between the 68th percentile and the 95th percentile.", "session_id": 14467, "sequence_id": 675, "annotations": []}
{"role": "student", "content": "Uh, OK", "session_id": 14467, "sequence_id": 676, "annotations": []}
{"role": "student", "content": "So like", "session_id": 14467, "sequence_id": 677, "annotations": []}
{"role": "student", "content": "you do you like find the difference and then divide it by 2.", "session_id": 14467, "sequence_id": 678, "annotations": []}
{"role": "volunteer", "content": "Yeah, basically", "session_id": 14467, "sequence_id": 679, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 14467, "sequence_id": 680, "annotations": []}
{"role": "student", "content": "Um, so like, you do like 95 minus 68 and then divide it by 2. So it'd be 13.5.", "session_id": 14467, "sequence_id": 681, "annotations": []}
{"role": "volunteer", "content": "yep, and then what do you do with that?", "session_id": 14467, "sequence_id": 682, "annotations": []}
{"role": "student", "content": "Um, well, that's where the 75th percentile lie, I mean, I don't really know.", "session_id": 14467, "sequence_id": 683, "annotations": []}
{"role": "volunteer", "content": "Right, but the 75th percentile isn't it like a score of 13.5, right?", "session_id": 14467, "sequence_id": 684, "annotations": []}
{"role": "student", "content": "No, I don't know what 13.5 has anything.", "session_id": 14467, "sequence_id": 685, "annotations": []}
{"role": "student", "content": "to do with", "session_id": 14467, "sequence_id": 686, "annotations": []}
{"role": "volunteer", "content": "OK, no worries. So 13.5 is the distance between like 68 and 95.", "session_id": 14467, "sequence_id": 687, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 14467, "sequence_id": 688, "annotations": []}
{"role": "volunteer", "content": "Well, it's half the distance.", "session_id": 14467, "sequence_id": 689, "annotations": []}
{"role": "student", "content": "have to, yeah", "session_id": 14467, "sequence_id": 690, "annotations": []}
{"role": "volunteer", "content": "Uh, so if I want like what number is halfway between 68 and 95.", "session_id": 14467, "sequence_id": 691, "annotations": []}
{"role": "student", "content": "That's", "session_id": 14467, "sequence_id": 692, "annotations": []}
{"role": "student", "content": "13 or is that like the 75th like I don't.", "session_id": 14467, "sequence_id": 693, "annotations": []}
{"role": "student", "content": "So.", "session_id": 14467, "sequence_id": 694, "annotations": []}
{"role": "volunteer", "content": "Uh, so that's just gonna be 68 plus 13.5.", "session_id": 14467, "sequence_id": 695, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 14467, "sequence_id": 696, "annotations": []}
{"role": "volunteer", "content": "It's gonna be", "session_id": 14467, "sequence_id": 697, "annotations": []}
{"role": "student", "content": "So what does that have to do with like,", "session_id": 14467, "sequence_id": 698, "annotations": []}
{"role": "student", "content": "the 5th", "session_id": 14467, "sequence_id": 699, "annotations": []}
{"role": "volunteer", "content": "Yeah, so that will be the percentile of 165.", "session_id": 14467, "sequence_id": 700, "annotations": []}
{"role": "volunteer", "content": "score", "session_id": 14467, "sequence_id": 701, "annotations": []}
{"role": "student", "content": "OK", "session_id": 14467, "sequence_id": 702, "annotations": []}
{"role": "student", "content": "um", "session_id": 14467, "sequence_id": 703, "annotations": []}
{"role": "student", "content": "is there like a way to do this on the calculator or like.", "session_id": 14467, "sequence_id": 704, "annotations": []}
{"role": "volunteer", "content": "Hm", "session_id": 14467, "sequence_id": 705, "annotations": []}
{"role": "volunteer", "content": "maybe", "session_id": 14467, "sequence_id": 706, "annotations": []}
{"role": "volunteer", "content": "Is this like AP so", "session_id": 14467, "sequence_id": 707, "annotations": []}
{"role": "student", "content": "I don't know, I just, yeah, I just like don't, yeah, I don't know. I just like.", "session_id": 14467, "sequence_id": 708, "annotations": []}
{"role": "volunteer", "content": "I feel like there's a no calculator section still, right?", "session_id": 14467, "sequence_id": 709, "annotations": []}
{"role": "student", "content": "um.", "session_id": 14467, "sequence_id": 710, "annotations": []}
{"role": "student", "content": "probably we haven't been on the no calculator section yet, but", "session_id": 14467, "sequence_id": 711, "annotations": []}
{"role": "volunteer", "content": "Yeah, I, it's been a while for me, but I feel like I remember these being on the no calculator section.", "session_id": 14467, "sequence_id": 712, "annotations": []}
{"role": "student", "content": "oh OK", "session_id": 14467, "sequence_id": 713, "annotations": []}
{"role": "volunteer", "content": "Uh, so I want to make sure you can do it without a calculator.", "session_id": 14467, "sequence_id": 714, "annotations": []}
{"role": "student", "content": "OK, yeah, I was just, yeah, I really", "session_id": 14467, "sequence_id": 715, "annotations": []}
{"role": "student", "content": "I don't know. I don't know. I don't understand that.", "session_id": 14467, "sequence_id": 716, "annotations": []}
{"role": "volunteer", "content": "Uh, there might be a way to do it on the calculator, um, but I'm not entirely sure.", "session_id": 14467, "sequence_id": 717, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 14467, "sequence_id": 718, "annotations": []}
{"role": "volunteer", "content": "Um", "session_id": 14467, "sequence_id": 719, "annotations": []}
{"role": "volunteer", "content": "yeah, what I would suggest doing to get a little bit more familiar with this.", "session_id": 14467, "sequence_id": 720, "annotations": []}
{"role": "volunteer", "content": "is like", "session_id": 14467, "sequence_id": 721, "annotations": []}
{"role": "volunteer", "content": "um", "session_id": 14467, "sequence_id": 722, "annotations": []}
{"role": "volunteer", "content": "to draw", "session_id": 14467, "sequence_id": 723, "annotations": []}
{"role": "volunteer", "content": "uh with like one of these examples and to write what percentile, like different numbers are, like, like if I asked you what percentile", "session_id": 14467, "sequence_id": 724, "annotations": []}
{"role": "volunteer", "content": "120 is", "session_id": 14467, "sequence_id": 725, "annotations": []}
{"role": "volunteer", "content": "or something like that", "session_id": 14467, "sequence_id": 726, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 14467, "sequence_id": 727, "annotations": []}
{"role": "volunteer", "content": "Um, that would be good practice to see if you're more, more comfortable with like the drawings or just doing the math, um", "session_id": 14467, "sequence_id": 728, "annotations": []}
{"role": "student", "content": "OK", "session_id": 14467, "sequence_id": 729, "annotations": []}
{"role": "volunteer", "content": "Does that make sense", "session_id": 14467, "sequence_id": 730, "annotations": []}
{"role": "student", "content": "Yeah, yeah, that does", "session_id": 14467, "sequence_id": 731, "annotations": []}
{"role": "student", "content": "Um", "session_id": 14467, "sequence_id": 732, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 14467, "sequence_id": 733, "annotations": []}
{"role": "volunteer", "content": "Uh, do you know the answer to this question?", "session_id": 14467, "sequence_id": 734, "annotations": []}
{"role": "student", "content": "oh,", "session_id": 14467, "sequence_id": 735, "annotations": []}
{"role": "student", "content": "did we ever find like the", "session_id": 14467, "sequence_id": 736, "annotations": []}
{"role": "student", "content": "75th percentile, like what that was for like,", "session_id": 14467, "sequence_id": 737, "annotations": []}
{"role": "volunteer", "content": "Uh, so actually we were looking for what percentile Elena is, um, and you just said it was going to be halfway between 68 and 95.", "session_id": 14467, "sequence_id": 738, "annotations": [{"pii_type": "PERSON", "surrogate": "Elena", "start": 52, "end": 57}]}
{"role": "student", "content": "Oh, OK, so you just do like 3.", "session_id": 14467, "sequence_id": 739, "annotations": []}
{"role": "volunteer", "content": "So we just did the 13.5 thing.", "session_id": 14467, "sequence_id": 740, "annotations": []}
{"role": "student", "content": "weight plus the 68.", "session_id": 14467, "sequence_id": 741, "annotations": []}
{"role": "volunteer", "content": "Yup", "session_id": 14467, "sequence_id": 742, "annotations": []}
{"role": "student", "content": "Oops, I just typed that in now", "session_id": 14467, "sequence_id": 743, "annotations": []}
{"role": "student", "content": "OK, so", "session_id": 14467, "sequence_id": 744, "annotations": []}
{"role": "student", "content": "I guess Elena's Z score is.", "session_id": 14467, "sequence_id": 745, "annotations": [{"pii_type": "PERSON", "surrogate": "Elena", "start": 8, "end": 13}]}
{"role": "student", "content": "higher than", "session_id": 14467, "sequence_id": 746, "annotations": []}
{"role": "student", "content": "um", "session_id": 14467, "sequence_id": 747, "annotations": []}
{"role": "volunteer", "content": "yep.", "session_id": 14467, "sequence_id": 748, "annotations": []}
{"role": "student", "content": "Maria's.", "session_id": 14467, "sequence_id": 749, "annotations": [{"pii_type": "PERSON", "surrogate": "Maria", "start": 0, "end": 5}]}
{"role": "student", "content": "Um", "session_id": 14467, "sequence_id": 750, "annotations": []}
{"role": "student", "content": "like, even though we don't know Maria's", "session_id": 14467, "sequence_id": 751, "annotations": [{"pii_type": "PERSON", "surrogate": "Maria", "start": 32, "end": 37}]}
{"role": "student", "content": "score.", "session_id": 14467, "sequence_id": 752, "annotations": []}
{"role": "volunteer", "content": "Uh, yeah, you can calculate it if you want.", "session_id": 14467, "sequence_id": 753, "annotations": []}
{"role": "volunteer", "content": "Um", "session_id": 14467, "sequence_id": 754, "annotations": []}
{"role": "student", "content": "I don't know how.", "session_id": 14467, "sequence_id": 755, "annotations": []}
{"role": "volunteer", "content": "yeah", "session_id": 14467, "sequence_id": 756, "annotations": []}
{"role": "volunteer", "content": "um", "session_id": 14467, "sequence_id": 757, "annotations": []}
{"role": "student", "content": "Is that like also bell curve thing?", "session_id": 14467, "sequence_id": 758, "annotations": []}
{"role": "volunteer", "content": "it is, uh, I'm trying to double check if there's an easier way to do it. I don't think there is, um", "session_id": 14467, "sequence_id": 759, "annotations": []}
{"role": "student", "content": "Yeah, I was gonna just like ask my teacher tomorrow and he'll probably like explain it to me and I'll be like, oh well that was easy and I don't understand why I didn't understand. I just do that a lot, so.", "session_id": 14467, "sequence_id": 760, "annotations": []}
{"role": "student", "content": "yeah.", "session_id": 14467, "sequence_id": 761, "annotations": []}
{"role": "volunteer", "content": "there might be a way for you to do it with a calculator. Um, that I have forgotten by now.", "session_id": 14467, "sequence_id": 762, "annotations": []}
{"role": "volunteer", "content": "Um", "session_id": 14467, "sequence_id": 763, "annotations": []}
{"role": "student", "content": "I mean, maybe like there's like uh maybe like like 2 bars, is that like ring ring a bell? like normal PDFs, normal CDF inverse norm. Does that like ring a bell, maybe?", "session_id": 14467, "sequence_id": 764, "annotations": []}
{"role": "volunteer", "content": "Mm", "session_id": 14467, "sequence_id": 765, "annotations": []}
{"role": "student", "content": "Yeah, I.", "session_id": 14467, "sequence_id": 766, "annotations": []}
{"role": "volunteer", "content": "it shouldn't be any of those. Well, I guess technically it is a normal", "session_id": 14467, "sequence_id": 767, "annotations": []}
{"role": "volunteer", "content": "CDF", "session_id": 14467, "sequence_id": 768, "annotations": []}
{"role": "volunteer", "content": "cause it is a cumulative distribution function.", "session_id": 14467, "sequence_id": 769, "annotations": []}
{"role": "volunteer", "content": "Yeah, if you do normal CDF of uh", "session_id": 14467, "sequence_id": 770, "annotations": []}
{"role": "volunteer", "content": "mm.", "session_id": 14467, "sequence_id": 771, "annotations": []}
{"role": "student", "content": "because we have mm", "session_id": 14467, "sequence_id": 772, "annotations": []}
{"role": "student", "content": "well, we do have the m", "session_id": 14467, "sequence_id": 773, "annotations": []}
{"role": "student", "content": "I don't know. We'd have to like find like the upper and lower bound of, I don't even know actually, but we have the mean, and we have this.", "session_id": 14467, "sequence_id": 774, "annotations": []}
{"role": "volunteer", "content": "yeah, uh, for normal CDF it should only ask for", "session_id": 14467, "sequence_id": 775, "annotations": []}
{"role": "volunteer", "content": "like you should just be able to put in a higher bound.", "session_id": 14467, "sequence_id": 776, "annotations": []}
{"role": "student", "content": "I", "session_id": 14467, "sequence_id": 777, "annotations": []}
{"role": "volunteer", "content": "Um", "session_id": 14467, "sequence_id": 778, "annotations": []}
{"role": "student", "content": "It does give a lower one, but you can just like put like,", "session_id": 14467, "sequence_id": 779, "annotations": []}
{"role": "volunteer", "content": "yeah, I guess you could just put like 0 or something.", "session_id": 14467, "sequence_id": 780, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 14467, "sequence_id": 781, "annotations": []}
{"role": "volunteer", "content": "Um, so if you put in", "session_id": 14467, "sequence_id": 782, "annotations": []}
{"role": "volunteer", "content": "a lower bound of zero and then the upper bound of 1.5", "session_id": 14467, "sequence_id": 783, "annotations": []}
{"role": "student", "content": "Oh, the upper bound would be 1.5, like that's like Elena's score.", "session_id": 14467, "sequence_id": 784, "annotations": [{"pii_type": "PERSON", "surrogate": "Elena's", "start": 51, "end": 58}]}
{"role": "volunteer", "content": "Uh", "session_id": 14467, "sequence_id": 785, "annotations": []}
{"role": "volunteer", "content": "oh wait, no, sorry. Um, you want to find Maria's Z score? Is that what we're doing?", "session_id": 14467, "sequence_id": 786, "annotations": [{"pii_type": "PERSON", "surrogate": "Maria", "start": 41, "end": 46}]}
{"role": "student", "content": "Yeah", "session_id": 14467, "sequence_id": 787, "annotations": []}
{"role": "volunteer", "content": "Uh", "session_id": 14467, "sequence_id": 788, "annotations": []}
{"role": "student", "content": "Yeah.", "session_id": 14467, "sequence_id": 789, "annotations": []}
{"role": "volunteer", "content": "sorry, I'm trying to", "session_id": 14467, "sequence_id": 790, "annotations": []}
{"role": "volunteer", "content": "remember what normal CDF, how it works on a calculator.", "session_id": 14467, "sequence_id": 791, "annotations": []}
{"role": "volunteer", "content": "Um", "session_id": 14467, "sequence_id": 792, "annotations": []}
{"role": "volunteer", "content": "normal CBF of", "session_id": 14467, "sequence_id": 793, "annotations": []}
{"role": "volunteer", "content": "hm", "session_id": 14467, "sequence_id": 794, "annotations": []}
{"role": "student", "content": "Well, I feel like", "session_id": 14467, "sequence_id": 795, "annotations": []}
{"role": "student", "content": "like 0.6 I don't.", "session_id": 14467, "sequence_id": 796, "annotations": []}
{"role": "student", "content": "um", "session_id": 14467, "sequence_id": 797, "annotations": []}
{"role": "student", "content": "Yeah, I don't know. I do feel like there probably is a different way because", "session_id": 14467, "sequence_id": 798, "annotations": []}
{"role": "student", "content": "I also like wasn't here, I guess, for a couple days, but", "session_id": 14467, "sequence_id": 799, "annotations": []}
{"role": "student", "content": "I do.", "session_id": 14467, "sequence_id": 800, "annotations": []}
{"role": "volunteer", "content": "Yeah, I think there is a way to do it on the calculator, but as far as I remember, this type of thing would be on the no calculator section, so it's good to know how to do it both ways.", "session_id": 14467, "sequence_id": 801, "annotations": []}
{"role": "student", "content": "Yeah, yeah", "session_id": 14467, "sequence_id": 802, "annotations": []}
{"role": "student", "content": "OK, um", "session_id": 14467, "sequence_id": 803, "annotations": []}
{"role": "student", "content": "um", "session_id": 14467, "sequence_id": 804, "annotations": []}
{"role": "student", "content": "so", "session_id": 14467, "sequence_id": 805, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 14467, "sequence_id": 806, "annotations": []}
{"role": "student", "content": "OK, I'm gonna upload this picture", "session_id": 14467, "sequence_id": 807, "annotations": []}
{"role": "student", "content": "These all are bell curve. I'm", "session_id": 14467, "sequence_id": 808, "annotations": []}
{"role": "student", "content": "not gonna understand them, but it's", "session_id": 14467, "sequence_id": 809, "annotations": []}
{"role": "volunteer", "content": "OK, I think I'll have time to help with one more and then I have to.", "session_id": 14467, "sequence_id": 810, "annotations": []}
{"role": "student", "content": "OK. OK.", "session_id": 14467, "sequence_id": 811, "annotations": []}
{"role": "student", "content": "Oh, I just see that.", "session_id": 14467, "sequence_id": 812, "annotations": []}
{"role": "volunteer", "content": "Uh, number 5.", "session_id": 14467, "sequence_id": 813, "annotations": []}
{"role": "student", "content": "Yeah.", "session_id": 14467, "sequence_id": 814, "annotations": []}
{"role": "volunteer", "content": "OK. Uh", "session_id": 14467, "sequence_id": 815, "annotations": []}
{"role": "volunteer", "content": "let's see", "session_id": 14467, "sequence_id": 816, "annotations": []}
{"role": "volunteer", "content": "Um", "session_id": 14467, "sequence_id": 817, "annotations": []}
{"role": "volunteer", "content": "oh, OK", "session_id": 14467, "sequence_id": 818, "annotations": []}
{"role": "volunteer", "content": "So", "session_id": 14467, "sequence_id": 819, "annotations": []}
{"role": "volunteer", "content": "how did you get the Z score on the last question? Do you remember?", "session_id": 14467, "sequence_id": 820, "annotations": []}
{"role": "student", "content": "Um, just like the formula.", "session_id": 14467, "sequence_id": 821, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 14467, "sequence_id": 822, "annotations": []}
{"role": "student", "content": "Uh, yeah, you just did like", "session_id": 14467, "sequence_id": 823, "annotations": []}
{"role": "student", "content": "whatever the minus the mean divided by the standard deviation.", "session_id": 14467, "sequence_id": 824, "annotations": []}
{"role": "volunteer", "content": "yep, exactly", "session_id": 14467, "sequence_id": 825, "annotations": []}
{"role": "volunteer", "content": "Um, so", "session_id": 14467, "sequence_id": 826, "annotations": []}
{"role": "volunteer", "content": "they converted", "session_id": 14467, "sequence_id": 827, "annotations": []}
{"role": "volunteer", "content": "from minutes to hours by dividing by 60.", "session_id": 14467, "sequence_id": 828, "annotations": []}
{"role": "volunteer", "content": "Um, and the score was X before they did that, right?", "session_id": 14467, "sequence_id": 829, "annotations": []}
{"role": "student", "content": "OK", "session_id": 14467, "sequence_id": 830, "annotations": []}
{"role": "volunteer", "content": "So, um, when they did, basically they did like X", "session_id": 14467, "sequence_id": 831, "annotations": []}
{"role": "volunteer", "content": "was the score for the participant, let's say.", "session_id": 14467, "sequence_id": 832, "annotations": []}
{"role": "student", "content": "because", "session_id": 14467, "sequence_id": 833, "annotations": []}
{"role": "volunteer", "content": "Me is", "session_id": 14467, "sequence_id": 834, "annotations": []}
{"role": "student", "content": "does the um", "session_id": 14467, "sequence_id": 835, "annotations": []}
{"role": "student", "content": "the score ever like", "session_id": 14467, "sequence_id": 836, "annotations": []}
{"role": "student", "content": "I don't know, like", "session_id": 14467, "sequence_id": 837, "annotations": []}
{"role": "volunteer", "content": "Mhm. Yeah.", "session_id": 14467, "sequence_id": 838, "annotations": []}
{"role": "student", "content": "does it change when you do anything, like when you divide or multiply or subtract or add, like, is there like a thing where it's like, oh cause I know there's rules to like the mean and median are like the center, so like they all change and then", "session_id": 14467, "sequence_id": 839, "annotations": []}
{"role": "student", "content": "like stuff like that. So does the Z score like ever change or does it not ever change?", "session_id": 14467, "sequence_id": 840, "annotations": []}
{"role": "student", "content": "Or does it", "session_id": 14467, "sequence_id": 841, "annotations": []}
{"role": "student", "content": "go about?", "session_id": 14467, "sequence_id": 842, "annotations": []}
{"role": "volunteer", "content": "Uh", "session_id": 14467, "sequence_id": 843, "annotations": []}
{"role": "volunteer", "content": "do you think it would change?", "session_id": 14467, "sequence_id": 844, "annotations": []}
{"role": "student", "content": "OK", "session_id": 14467, "sequence_id": 845, "annotations": []}
{"role": "volunteer", "content": "Like based on the formula, right?", "session_id": 14467, "sequence_id": 846, "annotations": []}
{"role": "volunteer", "content": "Would it change", "session_id": 14467, "sequence_id": 847, "annotations": []}
{"role": "student", "content": "like I wanna say yeah because it says it's dividing by 60, but at the same time I feel like it's not, you're not too like.", "session_id": 14467, "sequence_id": 848, "annotations": []}
{"role": "student", "content": "I don't.", "session_id": 14467, "sequence_id": 849, "annotations": []}
{"role": "student", "content": "to", "session_id": 14467, "sequence_id": 850, "annotations": []}
{"role": "volunteer", "content": "OK, um, you have the correct intuition, uh, like it shouldn't be changing.", "session_id": 14467, "sequence_id": 851, "annotations": []}
{"role": "volunteer", "content": "but", "session_id": 14467, "sequence_id": 852, "annotations": []}
{"role": "student", "content": "Yeah, I don't think it", "session_id": 14467, "sequence_id": 853, "annotations": []}
{"role": "volunteer", "content": "yeah, but just to go over", "session_id": 14467, "sequence_id": 854, "annotations": []}
{"role": "volunteer", "content": "a little bit, um, so", "session_id": 14467, "sequence_id": 855, "annotations": []}
{"role": "volunteer", "content": "they're multiplying, or sorry, they're going to divide X by 60.", "session_id": 14467, "sequence_id": 856, "annotations": []}
{"role": "volunteer", "content": "What about the mean? If you divide like all of the individual values by 60. What happens to the mean?", "session_id": 14467, "sequence_id": 857, "annotations": []}
{"role": "student", "content": "uh well", "session_id": 14467, "sequence_id": 858, "annotations": []}
{"role": "student", "content": "I don't know. Doesn't the meat", "session_id": 14467, "sequence_id": 859, "annotations": []}
{"role": "student", "content": "uh, I don't know, it's like", "session_id": 14467, "sequence_id": 860, "annotations": []}
{"role": "student", "content": "0 division is 1. I, I don't know if it's like plays into anything.", "session_id": 14467, "sequence_id": 861, "annotations": []}
{"role": "student", "content": "Right now, I just", "session_id": 14467, "sequence_id": 862, "annotations": []}
{"role": "volunteer", "content": "Yeah, so, um, if you have time, like you should draw this out with an example because um just to make sure you follow, but the mean will basically also get divided by 60.", "session_id": 14467, "sequence_id": 863, "annotations": []}
{"role": "student", "content": "OK", "session_id": 14467, "sequence_id": 864, "annotations": []}
{"role": "volunteer", "content": "because the mean is just like a sum of a ton of numbers, right?", "session_id": 14467, "sequence_id": 865, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 14467, "sequence_id": 866, "annotations": []}
{"role": "volunteer", "content": "divided by something. But if you divide all those numbers by 60, then the mean will also be divided by 60.", "session_id": 14467, "sequence_id": 867, "annotations": []}
{"role": "volunteer", "content": "right?", "session_id": 14467, "sequence_id": 868, "annotations": []}
{"role": "student", "content": "Yeah, cause it always it always changes.", "session_id": 14467, "sequence_id": 869, "annotations": []}
{"role": "volunteer", "content": "Yeah. So then how about the standard deviation? How do you get a standard deviation?", "session_id": 14467, "sequence_id": 870, "annotations": []}
{"role": "volunteer", "content": "Oh", "session_id": 14467, "sequence_id": 871, "annotations": []}
{"role": "student", "content": "Um, actually he like never taught us like how you actually get us in deviation and just like", "session_id": 14467, "sequence_id": 872, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 14467, "sequence_id": 873, "annotations": []}
{"role": "student", "content": "we just like have, yeah.", "session_id": 14467, "sequence_id": 874, "annotations": []}
{"role": "volunteer", "content": "Yeah, OK, so basically it's going to be the sum for all of your values. You do like the value minus the mean.", "session_id": 14467, "sequence_id": 875, "annotations": []}
{"role": "volunteer", "content": "uh, and then you square that.", "session_id": 14467, "sequence_id": 876, "annotations": []}
{"role": "volunteer", "content": "um, and then you take the sum of that over, oops.", "session_id": 14467, "sequence_id": 877, "annotations": []}
{"role": "volunteer", "content": "over all of the values.", "session_id": 14467, "sequence_id": 878, "annotations": []}
{"role": "volunteer", "content": "um, and then you divide it by", "session_id": 14467, "sequence_id": 879, "annotations": []}
{"role": "volunteer", "content": "uh one sec, uh", "session_id": 14467, "sequence_id": 880, "annotations": []}
{"role": "volunteer", "content": "you divide it by N", "session_id": 14467, "sequence_id": 881, "annotations": []}
{"role": "volunteer", "content": "where N is like the number of samples you have.", "session_id": 14467, "sequence_id": 882, "annotations": []}
{"role": "volunteer", "content": "Is that", "session_id": 14467, "sequence_id": 883, "annotations": []}
{"role": "volunteer", "content": "uh", "session_id": 14467, "sequence_id": 884, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 14467, "sequence_id": 885, "annotations": []}
{"role": "volunteer", "content": "you don't have to worry too much about the formula. Um, I basically just wanted to show you that like", "session_id": 14467, "sequence_id": 886, "annotations": []}
{"role": "volunteer", "content": "if you'll divide this X by 60, and then you'll divide the mean by 60.", "session_id": 14467, "sequence_id": 887, "annotations": []}
{"role": "volunteer", "content": "So", "session_id": 14467, "sequence_id": 888, "annotations": []}
{"role": "volunteer", "content": "if you divide everything by 60, then like it'll all cancel out.", "session_id": 14467, "sequence_id": 889, "annotations": []}
{"role": "volunteer", "content": "is I guess what I'm trying to show you.", "session_id": 14467, "sequence_id": 890, "annotations": []}
{"role": "student", "content": "Uh, yeah, I get that.", "session_id": 14467, "sequence_id": 891, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 14467, "sequence_id": 892, "annotations": []}
{"role": "volunteer", "content": "Yeah, so I'm just trying to explain, like, you're right, the Z score doesn't change.", "session_id": 14467, "sequence_id": 893, "annotations": []}
{"role": "student", "content": "OK, yeah", "session_id": 14467, "sequence_id": 894, "annotations": []}
{"role": "student", "content": "I just like couldn't have", "session_id": 14467, "sequence_id": 895, "annotations": []}
{"role": "volunteer", "content": "Yeah, I just wanted to explain it a little bit", "session_id": 14467, "sequence_id": 896, "annotations": []}
{"role": "volunteer", "content": "to make sure, yeah", "session_id": 14467, "sequence_id": 897, "annotations": []}
{"role": "student", "content": "yeah, I think you remember, yeah, um.", "session_id": 14467, "sequence_id": 898, "annotations": []}
{"role": "student", "content": "OK, the disease changes no matter if it's like adding, multiplying, dividing, subtracting.", "session_id": 14467, "sequence_id": 899, "annotations": []}
{"role": "volunteer", "content": "Uh, I think I can change, well, OK, it depends. If you're doing, if you're multiplying or dividing, for all of the numbers. Z score won't change.", "session_id": 14467, "sequence_id": 900, "annotations": []}
{"role": "student", "content": "But if you're", "session_id": 14467, "sequence_id": 901, "annotations": []}
{"role": "volunteer", "content": "But if you're adding or subtracting, it will.", "session_id": 14467, "sequence_id": 902, "annotations": []}
{"role": "student", "content": "oh", "session_id": 14467, "sequence_id": 903, "annotations": []}
{"role": "student", "content": "yeah, I did", "session_id": 14467, "sequence_id": 904, "annotations": []}
{"role": "student", "content": "OK, so", "session_id": 14467, "sequence_id": 905, "annotations": []}
{"role": "student", "content": "that.", "session_id": 14467, "sequence_id": 906, "annotations": []}
{"role": "volunteer", "content": "because um to get like a Z score, you're doing like multiplication and division, right?", "session_id": 14467, "sequence_id": 907, "annotations": []}
{"role": "volunteer", "content": "So, uh, if you're adding some stuff, then it will change.", "session_id": 14467, "sequence_id": 908, "annotations": []}
{"role": "volunteer", "content": "Mhm.", "session_id": 14467, "sequence_id": 909, "annotations": []}
{"role": "student", "content": "OK, um, OK, so then like, OK, I know the media, median and mean always change, um.", "session_id": 14467, "sequence_id": 910, "annotations": []}
{"role": "student", "content": "and then", "session_id": 14467, "sequence_id": 911, "annotations": []}
{"role": "student", "content": "IQR and standard deviation only change with multiplication and division.", "session_id": 14467, "sequence_id": 912, "annotations": []}
{"role": "volunteer", "content": "Mm, I don't think the", "session_id": 14467, "sequence_id": 913, "annotations": []}
{"role": "volunteer", "content": "oh yeah", "session_id": 14467, "sequence_id": 914, "annotations": []}
{"role": "volunteer", "content": "Standard deviation. Yeah, if you shift all of the values by the same amount, then the standard deviation shouldn't change.", "session_id": 14467, "sequence_id": 915, "annotations": []}
{"role": "student", "content": "like you", "session_id": 14467, "sequence_id": 916, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 14467, "sequence_id": 917, "annotations": []}
{"role": "volunteer", "content": "So like if you add one to everything, it shouldn't change, but if you", "session_id": 14467, "sequence_id": 918, "annotations": []}
{"role": "volunteer", "content": "multiply or divide, then the standard deviation does change. Yeah.", "session_id": 14467, "sequence_id": 919, "annotations": []}
{"role": "student", "content": "OK, and then", "session_id": 14467, "sequence_id": 920, "annotations": []}
{"role": "student", "content": "yeah, and then like", "session_id": 14467, "sequence_id": 921, "annotations": []}
{"role": "student", "content": "it's like 0 and then see the deviation is always one.", "session_id": 14467, "sequence_id": 922, "annotations": []}
{"role": "student", "content": "right?", "session_id": 14467, "sequence_id": 923, "annotations": []}
{"role": "student", "content": "For, I don't know, some specific", "session_id": 14467, "sequence_id": 924, "annotations": []}
{"role": "student", "content": "question", "session_id": 14467, "sequence_id": 925, "annotations": []}
{"role": "student", "content": "like after I", "session_id": 14467, "sequence_id": 926, "annotations": []}
{"role": "volunteer", "content": "Yeah, I guess it'll depend on the question. Um.", "session_id": 14467, "sequence_id": 927, "annotations": []}
{"role": "student", "content": "yeah, after converting like all", "session_id": 14467, "sequence_id": 928, "annotations": []}
{"role": "student", "content": "like something into these scores, it'll be like what will that be the new mean and standard dimension.", "session_id": 14467, "sequence_id": 929, "annotations": []}
{"role": "volunteer", "content": "Mhm", "session_id": 14467, "sequence_id": 930, "annotations": []}
{"role": "student", "content": "Um", "session_id": 14467, "sequence_id": 931, "annotations": []}
{"role": "student", "content": "yeah, I think", "session_id": 14467, "sequence_id": 932, "annotations": []}
{"role": "student", "content": "that just be your own one. Yeah, OK.", "session_id": 14467, "sequence_id": 933, "annotations": []}
{"role": "student", "content": "Yeah.", "session_id": 14467, "sequence_id": 934, "annotations": []}
{"role": "student", "content": "Um", "session_id": 14467, "sequence_id": 935, "annotations": []}
{"role": "volunteer", "content": "OK. Cool. Um, yeah, hope that was helpful. Um, sorry, my drawings weren't the best, but I hope it makes more sense now at least.", "session_id": 14467, "sequence_id": 936, "annotations": []}
{"role": "student", "content": "No, it helps.", "session_id": 14467, "sequence_id": 937, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 14467, "sequence_id": 938, "annotations": []}
{"role": "volunteer", "content": "Yeah.", "session_id": 14467, "sequence_id": 939, "annotations": []}
{"role": "student", "content": "Well, thank you.", "session_id": 14467, "sequence_id": 940, "annotations": []}
{"role": "volunteer", "content": "Yeah, of course. Good luck. Bye.", "session_id": 14467, "sequence_id": 941, "annotations": []}
{"role": "volunteer", "content": "how are you Jamie?", "session_id": 14666, "sequence_id": 0, "annotations": [{"pii_type": "PERSON", "surrogate": "Jamie", "start": 12, "end": 17}]}
{"role": "student", "content": "Good, how are you?", "session_id": 14666, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "good", "session_id": 14666, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "What can we discuss", "session_id": 14666, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "I'm doing right triangles and hypotenuse", "session_id": 14666, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "ok are we good with basics", "session_id": 14666, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "yes, I just don't understand how to simplify the square roots that are not perfect", "session_id": 14666, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "Ok should i share an example and you can share your Q", "session_id": 14666, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "yeah, that's good", "session_id": 14666, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "My legs are 8 and 9, it's asking me to get the hypotenuse in the simplest form", "session_id": 14666, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "is the board eg. clear", "session_id": 14666, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "?", "session_id": 14666, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "yes", "session_id": 14666, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "what is the hyp?", "session_id": 14666, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "in sqrt", "session_id": 14666, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "145", "session_id": 14666, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "find its factors", "session_id": 14666, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "ok", "session_id": 14666, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "5 x 29", "session_id": 14666, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "this cannot be simplified further as they are both prime", "session_id": 14666, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "ohh", "session_id": 14666, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "so the simplest form would be?", "session_id": 14666, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "like square root version", "session_id": 14666, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 14666, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "ok! I have one more question about the example", "session_id": 14666, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "how does the order you put 3 and \u221a5 matter?", "session_id": 14666, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "not really", "session_id": 14666, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "its easier to read if sqrt is later", "session_id": 14666, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "okay, thank you :) this helped", "session_id": 14666, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "glad to help", "session_id": 14666, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "ok, bye bye :D", "session_id": 14666, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "Is this Tenth Grade math", "session_id": 14666, "sequence_id": 31, "annotations": [{"pii_type": "GRADE_LEVEL", "surrogate": "Tenth Grade", "start": 8, "end": 19}]}
{"role": "student", "content": "yes", "session_id": 14666, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "Oh OK c u next time. Good day", "session_id": 14666, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "you too!", "session_id": 14666, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "hi Alice! :)", "session_id": 14758, "sequence_id": 0, "annotations": [{"pii_type": "PERSON", "surrogate": "Alice", "start": 3, "end": 8}]}
{"role": "student", "content": "hello i ahvea test oming up onthursday ut i only rlly have today to study and i sorta have a study guide but i just want to make sure ik how to solve all te problems on my own at the end", "session_id": 14758, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "hello", "session_id": 14758, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "how are you", "session_id": 14758, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "im good, thank you for asking! how are you?", "session_id": 14758, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "of course! what do you need help with?", "session_id": 14758, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "im great thank you ,well yea i just need preparing for my test", "session_id": 14758, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "ill write my question on the bored", "session_id": 14758, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "okay :)", "session_id": 14758, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "is that right", "session_id": 14758, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "one sec!", "session_id": 14758, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "okk", "session_id": 14758, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "hi! so sorry for the wait, yes this is right :) good job!!!", "session_id": 14758, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "thats okayy", "session_id": 14758, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "okay ill m ove on to my next question lemme just get something real quick", "session_id": 14758, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "sure!", "session_id": 14758, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "sorry my computer is acting s slow", "session_id": 14758, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "no worriesss", "session_id": 14758, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "there's a text option if that makes it easier for you :)", "session_id": 14758, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "yes but then my computer takes longer toload :(", "session_id": 14758, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "aw okay no worries then!", "session_id": 14758, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "is that right", "session_id": 14758, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "yep!", "session_id": 14758, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "nice work!", "session_id": 14758, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "Ben", "session_id": 14758, "sequence_id": 24, "annotations": [{"pii_type": "PERSON", "surrogate": "Ben", "start": 0, "end": 3}]}
{"role": "student", "content": "thx", "session_id": 14758, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "you're welcome! is that all you need?", "session_id": 14758, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "oh sorry i dint see this no", "session_id": 14758, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "yes Alice! no problem", "session_id": 14758, "sequence_id": 28, "annotations": [{"pii_type": "PERSON", "surrogate": "Alice", "start": 4, "end": 9}]}
{"role": "student", "content": "is this right", "session_id": 14758, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "i believe so, yes", "session_id": 14758, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "okayy", "session_id": 14758, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "is that right", "session_id": 14758, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "?", "session_id": 14758, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "one secc", "session_id": 14758, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "okk", "session_id": 14758, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "what was the formula you used?", "session_id": 14758, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "i just did 10/x=15/13", "session_id": 14758, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "is that 8.6?:)", "session_id": 14758, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "yea", "session_id": 14758, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "yes that's right", "session_id": 14758, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "either 8.6 or 8.67 rounded", "session_id": 14758, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "okayyill do my next question", "session_id": 14758, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "Alice!", "session_id": 14758, "sequence_id": 43, "annotations": [{"pii_type": "PERSON", "surrogate": "Alice", "start": 0, "end": 5}]}
{"role": "student", "content": "is that right", "session_id": 14758, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "yesss, you're a natural :)", "session_id": 14758, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "lol thanks ,ok lemme erite down and then ill go next question", "session_id": 14758, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "Alice", "session_id": 14758, "sequence_id": 47, "annotations": [{"pii_type": "PERSON", "surrogate": "Alice", "start": 0, "end": 5}]}
{"role": "student", "content": "is that right", "session_id": 14758, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "yupp", "session_id": 14758, "sequence_id": 49, "annotations": []}
{"role": "student", "content": "Ben", "session_id": 14758, "sequence_id": 50, "annotations": [{"pii_type": "PERSON", "surrogate": "Ben", "start": 0, "end": 3}]}
{"role": "student", "content": "il writew next", "session_id": 14758, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "okii", "session_id": 14758, "sequence_id": 52, "annotations": []}
{"role": "student", "content": "is hat right", "session_id": 14758, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "are you supposed to find the parallel equation to that?", "session_id": 14758, "sequence_id": 54, "annotations": []}
{"role": "student", "content": "yes", "session_id": 14758, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "yes that's right :)", "session_id": 14758, "sequence_id": 56, "annotations": []}
{"role": "student", "content": "oay ill write next question", "session_id": 14758, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "Alice", "session_id": 14758, "sequence_id": 58, "annotations": [{"pii_type": "PERSON", "surrogate": "Alice", "start": 0, "end": 5}]}
{"role": "student", "content": "is this rihg", "session_id": 14758, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "yuppp, but don't forget it's +-", "session_id": 14758, "sequence_id": 60, "annotations": []}
{"role": "student", "content": "oh yea okk", "session_id": 14758, "sequence_id": 61, "annotations": []}
{"role": "student", "content": "I'll writr my next quesion", "session_id": 14758, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "Alice", "session_id": 14758, "sequence_id": 63, "annotations": [{"pii_type": "PERSON", "surrogate": "Alice", "start": 0, "end": 5}]}
{"role": "volunteer", "content": "how many moree?", "session_id": 14758, "sequence_id": 64, "annotations": []}
{"role": "student", "content": "kinda lot ,how long can you stay", "session_id": 14758, "sequence_id": 65, "annotations": []}
{"role": "student", "content": "is that right", "session_id": 14758, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "i can stay for about 10 more minutes :)", "session_id": 14758, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "if that's alright with you", "session_id": 14758, "sequence_id": 68, "annotations": []}
{"role": "student", "content": "yes that totally fine", "session_id": 14758, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "alrightt one sec", "session_id": 14758, "sequence_id": 70, "annotations": []}
{"role": "student", "content": "Ben", "session_id": 14758, "sequence_id": 71, "annotations": [{"pii_type": "PERSON", "surrogate": "Ben", "start": 0, "end": 3}]}
{"role": "volunteer", "content": "is that 8.5 or 8-5?", "session_id": 14758, "sequence_id": 72, "annotations": []}
{"role": "student", "content": "8-5", "session_id": 14758, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "ahh, i don't think dats right unfortunately. how did you get that answer?:)", "session_id": 14758, "sequence_id": 74, "annotations": []}
{"role": "student", "content": "i put ti intop my calculator", "session_id": 14758, "sequence_id": 75, "annotations": []}
{"role": "student", "content": "and thats what i got", "session_id": 14758, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "ohh rightt", "session_id": 14758, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "are you just supposed to simplify this or?", "session_id": 14758, "sequence_id": 78, "annotations": []}
{"role": "student", "content": "yea", "session_id": 14758, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "i think this is the answer", "session_id": 14758, "sequence_id": 80, "annotations": []}
{"role": "student", "content": "ohh okay ,ill write my next question", "session_id": 14758, "sequence_id": 81, "annotations": []}
{"role": "volunteer", "content": "alrighttt", "session_id": 14758, "sequence_id": 82, "annotations": []}
{"role": "volunteer", "content": "i'll have to go after this one </3", "session_id": 14758, "sequence_id": 83, "annotations": []}
{"role": "student", "content": "yess okayy", "session_id": 14758, "sequence_id": 84, "annotations": []}
{"role": "student", "content": "is that right", "session_id": 14758, "sequence_id": 85, "annotations": []}
{"role": "volunteer", "content": "the denominators are right however, if im not mistaken, the numerators should be different", "session_id": 14758, "sequence_id": 86, "annotations": []}
{"role": "student", "content": "is that right now?", "session_id": 14758, "sequence_id": 87, "annotations": []}
{"role": "volunteer", "content": "yes!! :)", "session_id": 14758, "sequence_id": 88, "annotations": []}
{"role": "student", "content": "okay great", "session_id": 14758, "sequence_id": 89, "annotations": []}
{"role": "student", "content": "wel thank you somuch for your help i greatly appreciate it", "session_id": 14758, "sequence_id": 90, "annotations": []}
{"role": "volunteer", "content": "of course, you're welcome!!! goodluck on your exams, i'm sure you'll ace it :))", "session_id": 14758, "sequence_id": 91, "annotations": []}
{"role": "volunteer", "content": "have a great rest of your day!", "session_id": 14758, "sequence_id": 92, "annotations": []}
{"role": "student", "content": "yes lets hope have a great day bye", "session_id": 14758, "sequence_id": 93, "annotations": []}
{"role": "student", "content": "hi", "session_id": 15616, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "k", "session_id": 15616, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "I need help studying for my quiz tmmr", "session_id": 15616, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "its about parallel lines cut by a transversal. its about the postulates and theorems, and the different kinds of angles that are formed. Also, I have to write 2 collumn proof about my reasoning, and I may have to do a flow chart", "session_id": 15616, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "hi", "session_id": 15616, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "good evening Alex", "session_id": 15616, "sequence_id": 5, "annotations": [{"pii_type": "PERSON", "surrogate": "Alex", "start": 13, "end": 17}]}
{"role": "student", "content": "can you help me with my quiz prep", "session_id": 15616, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 15616, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "do you have the review question or something similar?", "session_id": 15616, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "umm lemme check, one sec", "session_id": 15616, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "Its like a proof about 2 lines, cut by 2 transversals", "session_id": 15616, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "yup", "session_id": 15616, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "lemme try to draw", "session_id": 15616, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "Do you want me to go over what you are confused or do you want me to go over everything (which takes long time)?", "session_id": 15616, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "because it has multiple knowledge in it", "session_id": 15616, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "I just need to memorize the different postulates and theorems, and learn how to apply it in proofs and stuff", "session_id": 15616, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "suree", "session_id": 15616, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "sorry about my drawing", "session_id": 15616, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "can u somewhat see it?", "session_id": 15616, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "yes I see it", "session_id": 15616, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "beautiful", "session_id": 15616, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "alr", "session_id": 15616, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "so can you help me solve this problem, and some other similar problems", "session_id": 15616, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "?", "session_id": 15616, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "Yes I can", "session_id": 15616, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "I'm writing every postulate and theorems on the board", "session_id": 15616, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "it takes little time", "session_id": 15616, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "oh ok", "session_id": 15616, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "so what is the relationship between angle 2 and angle 11?", "session_id": 15616, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "you can use the bridge property", "session_id": 15616, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "what's the bridge property?", "session_id": 15616, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "bridge property: if 2 things are both equal two another thing, they are equal to each other", "session_id": 15616, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "for example if a = b and c = b, then a=c", "session_id": 15616, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "is that the same thing as transitive property?", "session_id": 15616, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "yeah, that is the other name of it", "session_id": 15616, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "oh ok", "session_id": 15616, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "umm what do you mean by relationship between the two?", "session_id": 15616, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "are they both congruent to any angle else?", "session_id": 15616, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "umm tbh idek", "session_id": 15616, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "alright, so we can start with angle 1", "session_id": 15616, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "using those 5 postulate and theorems, what is angle 1 congruent to?", "session_id": 15616, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "angle 1 is congruent to angle 6 and angle 3", "session_id": 15616, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "is that right?", "session_id": 15616, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 15616, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "what else?", "session_id": 15616, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "um", "session_id": 15616, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "angle 9 and angle 7?", "session_id": 15616, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "correctttt", "session_id": 15616, "sequence_id": 47, "annotations": []}
{"role": "student", "content": "yay", "session_id": 15616, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "now, we have angle 1 congruent (which means equal to) with 3, 6, 7, 9", "session_id": 15616, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "we can do the same thing for angle  2 and eleven", "session_id": 15616, "sequence_id": 50, "annotations": []}
{"role": "student", "content": "we can say that 11 is congruent to 3?", "session_id": 15616, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "may you please list out the angles that congruent to each of them?", "session_id": 15616, "sequence_id": 52, "annotations": []}
{"role": "student", "content": "wdym?", "session_id": 15616, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "can you name the angles that are congruent to angle 2 and then name the angles that are congruent to angle 11", "session_id": 15616, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "hi! how's your day going?", "session_id": 15773, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "good how are you", "session_id": 15773, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "i'm good! what do you need help with?", "session_id": 15773, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "I have some questions", "session_id": 15773, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "I'll post a photo", "session_id": 15773, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "ok perfect!", "session_id": 15773, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "this is a good question, do you know a method to turn the first equation into the second one?", "session_id": 15773, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "not really", "session_id": 15773, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "that's okay! when the x-3 has a 6 outside the parentheses, do you know what that means?", "session_id": 15773, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "multiply?", "session_id": 15773, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "yes exactly, it means the x-3 is being multiplied by 6", "session_id": 15773, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "to get to the second equation, we need to get x-3 by itself on one side", "session_id": 15773, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "do you know how we can get rid of the 6 so that x-3 is by itself?", "session_id": 15773, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "sub tract", "session_id": 15773, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "good guess! since the entire expression of x-3 is being multiplied by the 6, we can remove it on that side by dividing by 6", "session_id": 15773, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "do you know what you would have to do to the 48 on the other side in that case?", "session_id": 15773, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "devide by 6 aswell", "session_id": 15773, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "exactly!", "session_id": 15773, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "so after you divide the 6 from both sides, what is the equation left over?", "session_id": 15773, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "8", "session_id": 15773, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "yes, that is what the 48 would turn into after dividing by 6; what would the entire equation be including the other side?", "session_id": 15773, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "6(-3+8)", "session_id": 15773, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "close! if you divide by 6 on both sides, the 6 outside the parentheses of x-3 goes away, leaving you with x-3 on the left side, and the 48 turns into 8 after being divided by the 6", "session_id": 15773, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "so with this information, what would the final equation be?", "session_id": 15773, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "x-3 = 8", "session_id": 15773, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "yes, x-3 = 8!", "session_id": 15773, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "so we just found out that simplifying the first equation turns it into x-3 = 8, which is the second equation", "session_id": 15773, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "now, since the problem is asking you why the solutions to these two equations are equal, can you explain why they are?", "session_id": 15773, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "Wait, so it's asking how did we get the um answer.", "session_id": 15773, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "it's asking why the solutions to the equations, or the x-value that makes the equation true, are equal, so we can say that the solutions are equal since simplifying the first equation showed us that it is the same as the second equation", "session_id": 15773, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "in a more simple way, we could say that the solutions are equal because the equations are equal", "session_id": 15773, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "ohh ok", "session_id": 15773, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "sorry if my explanation was a little weird, do you still need clarification on any parts of the problem?", "session_id": 15773, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "oh no", "session_id": 15773, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "how long do you have", "session_id": 15773, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "i can stay and keep helping! no worries", "session_id": 15773, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "amazing", "session_id": 15773, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "I'm posting it", "session_id": 15773, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "ok perfect! which part of the question confused you?", "session_id": 15773, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "um I have B", "session_id": 15773, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "because I decided 72 by 8", "session_id": 15773, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "that's the right answer! can you explain how you got it?", "session_id": 15773, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "yes perfect! good job factoring out the 8", "session_id": 15773, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "so I'm right", "session_id": 15773, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "yes that is the correct answer", "session_id": 15773, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "I have 1 more", "session_id": 15773, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "I don't get it", "session_id": 15773, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "ok no worries! do you need help with all parts of the question?", "session_id": 15773, "sequence_id": 47, "annotations": []}
{"role": "student", "content": "yes", "session_id": 15773, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "ok let's start with part a; it's asking for a value when the distance is 20 kilometers", "session_id": 15773, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "do you know where to look on the graph to find 20 kilometers?", "session_id": 15773, "sequence_id": 50, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 15773, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "ok great! so since you know to look where the x value is 20 (representing 20 kilometers), now all you have to do is look for how many miles it is equal to at x=20", "session_id": 15773, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "can you mark the y-value where x=20?", "session_id": 15773, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "the one you just marked is correct; there, the x-value, or kilometers is equal to 20", "session_id": 15773, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "now, can you mark the point where the line hits at that x-value?", "session_id": 15773, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "yes exactly! that's your answer", "session_id": 15773, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "for part b, now it's asking you to find kilometers where the miles, or y-value is equal to 20", "session_id": 15773, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "since you already marked where the miles equals 20 on the graph, all you have to do is mark the point where the line hits that y-value, which is similar to the problem we just did", "session_id": 15773, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "exactly!", "session_id": 15773, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "now for part c, do you know where we have to look on the graph to find the number of miles that is equal to 5 kilometers?", "session_id": 15773, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "perfect! now, since that y-value isn't a whole number, the problem asks you to estimate", "session_id": 15773, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "and the y-value looks like it is about halfway to 5, so what number can we estimate it is?", "session_id": 15773, "sequence_id": 62, "annotations": []}
{"role": "student", "content": "4/12", "session_id": 15773, "sequence_id": 63, "annotations": []}
{"role": "student", "content": "I meant 4.5.", "session_id": 15773, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "that's a good guess! the y-value might be a little over halfway to 5 (which is 2.5), but it doesn't look too close to 5", "session_id": 15773, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "somewhere between 2.5 and 4 might be a good estimate", "session_id": 15773, "sequence_id": 66, "annotations": []}
{"role": "student", "content": "ok", "session_id": 15773, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "now part d gives you the equation needed to convert kilometers to miles, using m to represent miles and k to represent kilometers", "session_id": 15773, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "if it's asking to convert 20 kilometers to miles, how do you think you will use this equation?", "session_id": 15773, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "also this one might require a calculator to get the exact value", "session_id": 15773, "sequence_id": 70, "annotations": []}
{"role": "student", "content": "ok", "session_id": 15773, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "let me know what you get when you plug it in to the equation!", "session_id": 15773, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "do you need any help to plug it into the equation?", "session_id": 15773, "sequence_id": 73, "annotations": []}
{"role": "student", "content": "umm so", "session_id": 15773, "sequence_id": 74, "annotations": []}
{"role": "student", "content": "I couldn't figure it out", "session_id": 15773, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "no worries! do you know which variable we will plug 20 into?", "session_id": 15773, "sequence_id": 76, "annotations": []}
{"role": "student", "content": "1.609", "session_id": 15773, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "close! we will substitute it in for k, since k represents kilometers", "session_id": 15773, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "so the equation would become that", "session_id": 15773, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "and to get an exact answer, you might want to type that in to a calculator", "session_id": 15773, "sequence_id": 80, "annotations": []}
{"role": "student", "content": "ok", "session_id": 15773, "sequence_id": 81, "annotations": []}
{"role": "volunteer", "content": "what decimal place does your teacher usually have you round to?", "session_id": 15773, "sequence_id": 82, "annotations": []}
{"role": "student", "content": "we haven't done that yet", "session_id": 15773, "sequence_id": 83, "annotations": []}
{"role": "volunteer", "content": "oh ok! no worries, you can just round to the nearest whole number (no decimals)", "session_id": 15773, "sequence_id": 84, "annotations": []}
{"role": "volunteer", "content": "let me know what you get for your answer!", "session_id": 15773, "sequence_id": 85, "annotations": []}
{"role": "student", "content": "Well, OK, so what", "session_id": 15773, "sequence_id": 86, "annotations": []}
{"role": "student", "content": "I", "session_id": 15773, "sequence_id": 87, "annotations": []}
{"role": "student", "content": "I", "session_id": 15773, "sequence_id": 88, "annotations": []}
{"role": "student", "content": "what's the newest phone number for 1.609.", "session_id": 15773, "sequence_id": 89, "annotations": []}
{"role": "volunteer", "content": "oh wait sorry i said that in a confusing way! i didn't mean to round the numbers in the equation to the nearest whole number", "session_id": 15773, "sequence_id": 90, "annotations": []}
{"role": "volunteer", "content": "you can just type the equation i wrote on the screen straight into the calculator", "session_id": 15773, "sequence_id": 91, "annotations": []}
{"role": "volunteer", "content": "and then i can help round to the nearest whole number once you get your final answer", "session_id": 15773, "sequence_id": 92, "annotations": []}
{"role": "volunteer", "content": "if it helps, this is exactly how i typed it into the calculator", "session_id": 15773, "sequence_id": 93, "annotations": []}
{"role": "student", "content": "um I got 12.4", "session_id": 15773, "sequence_id": 94, "annotations": []}
{"role": "volunteer", "content": "yes perfect!", "session_id": 15773, "sequence_id": 95, "annotations": []}
{"role": "volunteer", "content": "so now that we have the number, we can round it to the nearest whole number (number with no decimals) by looking at the first number after the decimal point", "session_id": 15773, "sequence_id": 96, "annotations": []}
{"role": "volunteer", "content": "since 4 is the first number after the decimal point, do you think we will round up or down?", "session_id": 15773, "sequence_id": 97, "annotations": []}
{"role": "student", "content": "up", "session_id": 15773, "sequence_id": 98, "annotations": []}
{"role": "volunteer", "content": "not quite, but it's okay! for figuring out whether to round a number up or down, you look at the first number after the decimal point (which is 4 in this case): if the number is less than 5, we round down, and if the number is 5 or greater, we round up", "session_id": 15773, "sequence_id": 99, "annotations": []}
{"role": "volunteer", "content": "now that we've reviewed rounding rules, can you determine whether to round to 12 or 13?", "session_id": 15773, "sequence_id": 100, "annotations": []}
{"role": "student", "content": "12", "session_id": 15773, "sequence_id": 101, "annotations": []}
{"role": "volunteer", "content": "yes perfect! so that would be your final answer", "session_id": 15773, "sequence_id": 102, "annotations": []}
{"role": "volunteer", "content": "and make sure to include a label with your answer, which in this case is miles", "session_id": 15773, "sequence_id": 103, "annotations": []}
{"role": "student", "content": "ok", "session_id": 15773, "sequence_id": 104, "annotations": []}
{"role": "student", "content": "that's all", "session_id": 15773, "sequence_id": 105, "annotations": []}
{"role": "volunteer", "content": "okay! i hope i at least helped you understand some of these concepts a little bit :)", "session_id": 15773, "sequence_id": 106, "annotations": []}
{"role": "student", "content": "bye", "session_id": 15773, "sequence_id": 107, "annotations": []}
{"role": "volunteer", "content": "bye bye", "session_id": 15773, "sequence_id": 108, "annotations": []}
{"role": "volunteer", "content": "Hi Ahmed. How's your week going?", "session_id": 16365, "sequence_id": 0, "annotations": [{"pii_type": "PERSON", "surrogate": "Ahmed", "start": 3, "end": 8}]}
{"role": "student", "content": "Hello", "session_id": 16365, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "yes", "session_id": 16365, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "good", "session_id": 16365, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "your head", "session_id": 16365, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 16365, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "I", "session_id": 16365, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "Sorry I can't hear you for some reason", "session_id": 16365, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "Hello, can you hear me now?", "session_id": 16365, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "Yes", "session_id": 16365, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 16365, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "I can't hear you", "session_id": 16365, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "I can't talk because there is noise & radio here", "session_id": 16365, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "But I can hear you", "session_id": 16365, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "OK", "session_id": 16365, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "Do you have a problem to work or just trying out the system?", "session_id": 16365, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "Um, I have a test that's coming up, so I wanna do um um little equations.", "session_id": 16365, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "uh", "session_id": 16365, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "I wanna do", "session_id": 16365, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "Do you have some examples or want me to make some up?", "session_id": 16365, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "I also wanna do algebraic expressions.", "session_id": 16365, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "uh", "session_id": 16365, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "with", "session_id": 16365, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "articles", "session_id": 16365, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "Radicals?", "session_id": 16365, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 16365, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "OK.", "session_id": 16365, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "you could just make them up", "session_id": 16365, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "Are you doing one-step equations? Two? Linear?", "session_id": 16365, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "I'll start with one", "session_id": 16365, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "and then I'll do 2", "session_id": 16365, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "and then we can move on", "session_id": 16365, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "Do I solve it", "session_id": 16365, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "Yes \ud83d\ude00", "session_id": 16365, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 16365, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "Careful", "session_id": 16365, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "Oh, wait, wait, wait, wait, wait", "session_id": 16365, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "Oh.", "session_id": 16365, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "Great.", "session_id": 16365, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "OK. Thank you", "session_id": 16365, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "What did you say?", "session_id": 16365, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "What", "session_id": 16365, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "OK, work on this one", "session_id": 16365, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "I can't see over there on the right. Did you say x = -4?", "session_id": 16365, "sequence_id": 43, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 16365, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "Good. that's right. A faster way:", "session_id": 16365, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "OK", "session_id": 16365, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "here", "session_id": 16365, "sequence_id": 47, "annotations": []}
{"role": "student", "content": "So X equals -4.", "session_id": 16365, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "Oh.", "session_id": 16365, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "since 5(something) = 0 then something must be 0 \ud83d\ude09", "session_id": 16365, "sequence_id": 50, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 16365, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "OK", "session_id": 16365, "sequence_id": 52, "annotations": []}
{"role": "student", "content": "Hm.", "session_id": 16365, "sequence_id": 53, "annotations": []}
{"role": "student", "content": "Can I solve in my notebook and give you the answer, cause it's hard to draw with my mouse.", "session_id": 16365, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "Sure.", "session_id": 16365, "sequence_id": 55, "annotations": []}
{"role": "student", "content": "OK", "session_id": 16365, "sequence_id": 56, "annotations": []}
{"role": "student", "content": "Is it -15?", "session_id": 16365, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "Let's see", "session_id": 16365, "sequence_id": 58, "annotations": []}
{"role": "student", "content": "So is it this that I draw?", "session_id": 16365, "sequence_id": 59, "annotations": []}
{"role": "student", "content": "1/2. Is it correct?", "session_id": 16365, "sequence_id": 60, "annotations": []}
{"role": "student", "content": "Oh, thank you", "session_id": 16365, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "Correct! You're pretty good at this. I'm not sure you need a lot of practice.", "session_id": 16365, "sequence_id": 62, "annotations": []}
{"role": "student", "content": "OK, so I'm just gonna go do the science. Oh no, I'm gonna do a history.", "session_id": 16365, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "What about radicals?", "session_id": 16365, "sequence_id": 64, "annotations": []}
{"role": "student", "content": "OK, let's practice radicals.", "session_id": 16365, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "Can you give an example of what you mean", "session_id": 16365, "sequence_id": 66, "annotations": []}
{"role": "student", "content": "Can you make up one", "session_id": 16365, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "I don't know what you're doing with them.", "session_id": 16365, "sequence_id": 68, "annotations": []}
{"role": "student", "content": "No, like radical equations, like radicals in equations.", "session_id": 16365, "sequence_id": 69, "annotations": []}
{"role": "student", "content": "solving radical equations.", "session_id": 16365, "sequence_id": 70, "annotations": []}
{"role": "student", "content": "Oh", "session_id": 16365, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "Like that?", "session_id": 16365, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "Hi! How can i help you?", "session_id": 16898, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "Hi!", "session_id": 16898, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "I need help with this", "session_id": 16898, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "To solve this problem, you first work on each inequality separately. Starting with n-2>4, you add 2 to both sides and get n>6. For the second inequality, 3/5n\u22656, you multiply both sides by 5/3, which gives n\u2265 10. Since the word connecting them is \u201cor,\u201d the solution includes all values that satisfy either inequality. Because all numbers greater than 6 already include all numbers greater than or equal to 10, the overall solution is simply n>6. In interval notation, this is written as (6,\u221e). On the number line, you show this by drawing an open circle at 6 and shading everything to the right. The graph in the screenshot is incorrect because it starts at 10, but the correct graph begins just after 6.", "session_id": 16898, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "can you show it visually", "session_id": 16898, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "The black line shows the the number line you shared.", "session_id": 16898, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "Do you have any questions?", "session_id": 16898, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "nope next one", "session_id": 16898, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "To solve this problem, we start by working with each inequality separately. From the first inequality, n minus 2 is greater than 4, we add 2 to both sides and get n greater than 6. From the second inequality, three fifths of n is greater than or equal to 6, we multiply both sides by 5 over 3 and get n greater than or equal to 10. Since the two inequalities are joined with the word \"and,\" the solution must satisfy both conditions at the same time. A number greater than 6 and at the same time greater than or equal to 10 must be at least 10. Therefore, the solution set is all numbers starting from 10 and going to infinity.", "session_id": 16898, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "(6,10]", "session_id": 16898, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "[10,\u221e)", "session_id": 16898, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "This next", "session_id": 16898, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "To solve this compound inequality, we begin with negative five less than negative three x plus four less than or equal to one. First subtract four from every part of the inequality, which gives negative nine less than negative three x less than or equal to negative three. Next divide each part by negative three. Since we are dividing by a negative number, the direction of the inequality signs must be reversed. This gives three greater than x greater than or equal to one. Rewriting in order, the solution is x greater than or equal to one and less than three. In interval notation, the solution set is written as bracket one comma three parenthesis.", "session_id": 16898, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "now divide all by 4?", "session_id": 16898, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "If you were to divide everything by 4 instead, it would not isolate x correctly, since the term with x is multiplied by negative three, not by four.\n\nSo the subtraction of 4 was the right move, and the next step is to divide by negative three, not by four.", "session_id": 16898, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "oh i meant 3", "session_id": 16898, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "3,-1", "session_id": 16898, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "[1, 3)", "session_id": 16898, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "3/-3 is -1", "session_id": 16898, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "We had this step after subtracting 4:\n-9 < -3x \u2264 -3\n\nNow divide every part by -3. Since -3 is negative, we flip both inequality signs:\n\n-9 \u00f7 -3 > x \u2265 -3 \u00f7 -3\n\nThat gives:\n3 > x \u2265 1\n\nRewriting in order:\n1 \u2264 x < 3\n\nSo the endpoints are 1 and 3, not 3 and -1.", "session_id": 16898, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "ohh i see", "session_id": 16898, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "it was a neg 3 sorry im tired lol", "session_id": 16898, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "and this is wrong", "session_id": 16898, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "oh nvm its bc i put it at -1", "session_id": 16898, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "it should be this?", "session_id": 16898, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "or would the line go through it?", "session_id": 16898, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "like this", "session_id": 16898, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "The correct graph should start at 1 with a closed dot or bracket, end at 3 with an open dot or parenthesis, and the segment in between shaded.", "session_id": 16898, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "yep i did that, its correct", "session_id": 16898, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "here's the enxt one", "session_id": 16898, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "We are solving:\n2 \u2264 (2x + 1)/3 < 4\n\nStep 1: Eliminate the fraction\nMultiply everything by 3:\n2 \u00d7 3 \u2264 2x + 1 < 4 \u00d7 3\n\n6 \u2264 2x + 1 < 12\n\nStep 2: Subtract 1 from all parts\n6 \u2212 1 \u2264 2x + 1 \u2212 1 < 12 \u2212 1\n\n5 \u2264 2x < 11\n\nStep 3: Divide everything by 2\n5 \u00f7 2 \u2264 x < 11 \u00f7 2\n\n2.5 \u2264 x < 5.5\n\nStep 4: Interval notation\n[5/2, 11/2)", "session_id": 16898, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "Hi Emily, how can I help", "session_id": 2845, "sequence_id": 0, "annotations": [{"pii_type": "PERSON", "surrogate": "Emily", "start": 3, "end": 8}]}
{"role": "student", "content": "Wsg i need help with rounding", "session_id": 2845, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 2845, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "i have an assignment", "session_id": 2845, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "alright lets work this together", "session_id": 2845, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "There", "session_id": 2845, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "ok do you know the rules when it comes to rounding?", "session_id": 2845, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "I think so its like 5 and up you round up 4 and down you keep the same", "session_id": 2845, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "is that right idk", "session_id": 2845, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "yes thats right", "session_id": 2845, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "alr", "session_id": 2845, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "when the digit is 5 or higher, round up, when its 4 or lower round down", "session_id": 2845, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "Ohh okayy", "session_id": 2845, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "so now for whole numbers, you look to the tenths digit to determine", "session_id": 2845, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "im going to underline the digit", "session_id": 2845, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "that is the only one that matters when you do nearest whole number", "session_id": 2845, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "alright so do you have an answer for this question", "session_id": 2845, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "Not rlly", "session_id": 2845, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "ok thats totally fine", "session_id": 2845, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "so as i said before, when rounding to the nearest whole number", "session_id": 2845, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "look to the tenths digit", "session_id": 2845, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "for this case it is three", "session_id": 2845, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "because three is not 5 or greater", "session_id": 2845, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "we round down", "session_id": 2845, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "5.0", "session_id": 2845, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "it would 3.0 because you are showing that you rounded down", "session_id": 2845, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "its kind of like showing work for rounding", "session_id": 2845, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "Oh i got that and it was correct", "session_id": 2845, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "oh ok", "session_id": 2845, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "so i guess it does not really matter", "session_id": 2845, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "srry", "session_id": 2845, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "your good", "session_id": 2845, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "both works", "session_id": 2845, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "do you have anymore questions?", "session_id": 2845, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "Yes do you mind", "session_id": 2845, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "no I dont mind, lets do more", "session_id": 2845, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "ok", "session_id": 2845, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "ok this is the same deal as the last one", "session_id": 2845, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "Yes it is", "session_id": 2845, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "ok do you have an answer or do you want some guidance", "session_id": 2845, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "Hmm lemme try rq", "session_id": 2845, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 2845, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "I figured it out", "session_id": 2845, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "yes thats correct", "session_id": 2845, "sequence_id": 43, "annotations": []}
{"role": "student", "content": "alr", "session_id": 2845, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "good job!", "session_id": 2845, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "Tysmm!", "session_id": 2845, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "Ooo this is different noww", "session_id": 2845, "sequence_id": 47, "annotations": []}
{"role": "student", "content": "bro you still there", "session_id": 2845, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "yes im still here", "session_id": 2845, "sequence_id": 49, "annotations": []}
{"role": "student", "content": "David", "session_id": 2845, "sequence_id": 50, "annotations": [{"pii_type": "PERSON", "surrogate": "David", "start": 0, "end": 5}]}
{"role": "volunteer", "content": "oh", "session_id": 2845, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "i didnt see the question", "session_id": 2845, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "mb", "session_id": 2845, "sequence_id": 53, "annotations": []}
{"role": "student", "content": "Wsp all good", "session_id": 2845, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "ok so first we need to locate where the hundredthousandth digit is", "session_id": 2845, "sequence_id": 55, "annotations": []}
{"role": "student", "content": "Yup", "session_id": 2845, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "do you know where it is?", "session_id": 2845, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "i could show you if you need", "session_id": 2845, "sequence_id": 58, "annotations": []}
{"role": "student", "content": "Sure", "session_id": 2845, "sequence_id": 59, "annotations": []}
{"role": "student", "content": "Sry bout that", "session_id": 2845, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "youre good", "session_id": 2845, "sequence_id": 61, "annotations": []}
{"role": "student", "content": "WOW how do u right like that", "session_id": 2845, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "yes its kinda weird", "session_id": 2845, "sequence_id": 63, "annotations": []}
{"role": "student", "content": "NO its gooddd", "session_id": 2845, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "oh really ty!", "session_id": 2845, "sequence_id": 65, "annotations": []}
{"role": "student", "content": "ofc! anywaysss", "session_id": 2845, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "i always count like this when tyring to find it", "session_id": 2845, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "now the question says nearest hundred thousandth, meaning we need to look at the digit after it", "session_id": 2845, "sequence_id": 68, "annotations": []}
{"role": "student", "content": "Ohhhhhhh", "session_id": 2845, "sequence_id": 69, "annotations": []}
{"role": "student", "content": "mb", "session_id": 2845, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "its like how when we did nearest whole number", "session_id": 2845, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "we had to look at the tenths place", "session_id": 2845, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "to determine", "session_id": 2845, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "samething for this its always the digit after", "session_id": 2845, "sequence_id": 74, "annotations": []}
{"role": "volunteer", "content": "however this one is a little tricky", "session_id": 2845, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "do you kinda know where to go with this or do you want some help?", "session_id": 2845, "sequence_id": 76, "annotations": []}
{"role": "student", "content": "The 5 rounds up than everything after it means nothing right?", "session_id": 2845, "sequence_id": 77, "annotations": []}
{"role": "student", "content": "i tthink soo", "session_id": 2845, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "yea so 93 does not matter", "session_id": 2845, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "but when you round up with the 5", "session_id": 2845, "sequence_id": 80, "annotations": []}
{"role": "student", "content": "Yup", "session_id": 2845, "sequence_id": 81, "annotations": []}
{"role": "volunteer", "content": "the digits before it change as well", "session_id": 2845, "sequence_id": 82, "annotations": []}
{"role": "student", "content": "So what do i do to change them", "session_id": 2845, "sequence_id": 83, "annotations": []}
{"role": "volunteer", "content": "ok do it like this way", "session_id": 2845, "sequence_id": 84, "annotations": []}
{"role": "volunteer", "content": "so the 5", "session_id": 2845, "sequence_id": 85, "annotations": []}
{"role": "volunteer", "content": "becomes a zero", "session_id": 2845, "sequence_id": 86, "annotations": []}
{"role": "volunteer", "content": "and the 9 becomes a digit higher so 10", "session_id": 2845, "sequence_id": 87, "annotations": []}
{"role": "volunteer", "content": "but we can fit a two digit number in a one digit slot", "session_id": 2845, "sequence_id": 88, "annotations": []}
{"role": "volunteer", "content": "so you have to use the number before it", "session_id": 2845, "sequence_id": 89, "annotations": []}
{"role": "student", "content": "Okayy", "session_id": 2845, "sequence_id": 90, "annotations": []}
{"role": "student", "content": "This is all a lil confusing like all the writing", "session_id": 2845, "sequence_id": 91, "annotations": []}
{"role": "volunteer", "content": "ok my bad, lets just erase the things before", "session_id": 2845, "sequence_id": 92, "annotations": []}
{"role": "student", "content": "Sorryyyyyyyyy", "session_id": 2845, "sequence_id": 93, "annotations": []}
{"role": "volunteer", "content": "youre gooood", "session_id": 2845, "sequence_id": 94, "annotations": []}
{"role": "volunteer", "content": "ok back to what i was saying", "session_id": 2845, "sequence_id": 95, "annotations": []}
{"role": "volunteer", "content": "now when this 9 becomes a 10", "session_id": 2845, "sequence_id": 96, "annotations": []}
{"role": "volunteer", "content": "we have to carry it over", "session_id": 2845, "sequence_id": 97, "annotations": []}
{"role": "student", "content": "Ookayy", "session_id": 2845, "sequence_id": 98, "annotations": []}
{"role": "volunteer", "content": "and you do it again", "session_id": 2845, "sequence_id": 99, "annotations": []}
{"role": "volunteer", "content": "so the final answer is", "session_id": 2845, "sequence_id": 100, "annotations": []}
{"role": "volunteer", "content": "46.265", "session_id": 2845, "sequence_id": 101, "annotations": []}
{"role": "student", "content": "I ToTaLlY understood that", "session_id": 2845, "sequence_id": 102, "annotations": []}
{"role": "volunteer", "content": "ok im sorry, could you tell me which part you need more explanation with?", "session_id": 2845, "sequence_id": 103, "annotations": []}
{"role": "student", "content": "This", "session_id": 2845, "sequence_id": 104, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 2845, "sequence_id": 105, "annotations": []}
{"role": "volunteer", "content": "hmm", "session_id": 2845, "sequence_id": 106, "annotations": []}
{"role": "volunteer", "content": "let me do a simpler way", "session_id": 2845, "sequence_id": 107, "annotations": []}
{"role": "volunteer", "content": "im going to show you something that may be easier or more confusing", "session_id": 2845, "sequence_id": 108, "annotations": []}
{"role": "student", "content": "oki", "session_id": 2845, "sequence_id": 109, "annotations": []}
{"role": "volunteer", "content": "ok so the 5 needs to round up right", "session_id": 2845, "sequence_id": 110, "annotations": []}
{"role": "volunteer", "content": "so lets add a 0.00001 to increase it by .00001", "session_id": 2845, "sequence_id": 111, "annotations": []}
{"role": "volunteer", "content": "now we just add", "session_id": 2845, "sequence_id": 112, "annotations": []}
{"role": "volunteer", "content": "its the same thing with rounding up", "session_id": 2845, "sequence_id": 113, "annotations": []}
{"role": "volunteer", "content": "we want to increase it by just the next highest digit", "session_id": 2845, "sequence_id": 114, "annotations": []}
{"role": "volunteer", "content": "now do the addition", "session_id": 2845, "sequence_id": 115, "annotations": []}
{"role": "student", "content": "There", "session_id": 2845, "sequence_id": 116, "annotations": []}
{"role": "volunteer", "content": "yes now this addition is the same exact thing as rounding and its easier to visualize", "session_id": 2845, "sequence_id": 117, "annotations": []}
{"role": "volunteer", "content": "the 9 digits are going up by one due to the rounding so it has to carry it over", "session_id": 2845, "sequence_id": 118, "annotations": []}
{"role": "student", "content": "Wait that was rounding", "session_id": 2845, "sequence_id": 119, "annotations": []}
{"role": "volunteer", "content": "so 46.265 is right", "session_id": 2845, "sequence_id": 120, "annotations": []}
{"role": "volunteer", "content": "yess", "session_id": 2845, "sequence_id": 121, "annotations": []}
{"role": "volunteer", "content": "this is essentially how rounding up works", "session_id": 2845, "sequence_id": 122, "annotations": []}
{"role": "volunteer", "content": "its just add numbers so that the following digit goes up by 1", "session_id": 2845, "sequence_id": 123, "annotations": []}
{"role": "student", "content": "David i just did thatt", "session_id": 2845, "sequence_id": 124, "annotations": [{"pii_type": "PERSON", "surrogate": "David", "start": 0, "end": 5}]}
{"role": "volunteer", "content": "yessss", "session_id": 2845, "sequence_id": 125, "annotations": []}
{"role": "student", "content": "That right there was WAYY easier btww", "session_id": 2845, "sequence_id": 126, "annotations": []}
{"role": "volunteer", "content": "ok thats good to hear", "session_id": 2845, "sequence_id": 127, "annotations": []}
{"role": "volunteer", "content": "i felt like the other was complicated as well", "session_id": 2845, "sequence_id": 128, "annotations": []}
{"role": "student", "content": "David its just to much for some odd reason", "session_id": 2845, "sequence_id": 129, "annotations": [{"pii_type": "PERSON", "surrogate": "David", "start": 0, "end": 5}]}
{"role": "volunteer", "content": "ok Emily, im sorry to say but i have leave now", "session_id": 2845, "sequence_id": 130, "annotations": [{"pii_type": "PERSON", "surrogate": "Emily", "start": 3, "end": 8}]}
{"role": "student", "content": "Its okk", "session_id": 2845, "sequence_id": 131, "annotations": []}
{"role": "volunteer", "content": "thank you for your work today! have a great christmas, if you celebrate!!", "session_id": 2845, "sequence_id": 132, "annotations": []}
{"role": "student", "content": "Thank youu David christmas", "session_id": 2845, "sequence_id": 133, "annotations": [{"pii_type": "PERSON", "surrogate": "David", "start": 11, "end": 16}]}
{"role": "student", "content": "hi", "session_id": 3001, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "HelloHello", "session_id": 3001, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "srry my computer is very laggy", "session_id": 3001, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "oh it's fine", "session_id": 3001, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "what would you like to work on", "session_id": 3001, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "Ah, so here we are looking at a system of equation problem, basically we need to find two equations, one that counts number of pizzas and the other is price", "session_id": 3001, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "So out first step should be labeling our variables, try this part on your own :)", "session_id": 3001, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "If you have any questions lmk", "session_id": 3001, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "helo?", "session_id": 3001, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "u there?", "session_id": 3001, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "hi sorry", "session_id": 3001, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "I was fixing my internet", "session_id": 3001, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "it's good", "session_id": 3001, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "try naming the two variables prsent in this problems", "session_id": 3001, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "problem*", "session_id": 3001, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "alr, which part r u confused on cuz u basically got it", "session_id": 3001, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "I'm stuck here", "session_id": 3001, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "I don't know what to do now", "session_id": 3001, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "ah ok, now from this we have to evaluate", "session_id": 3001, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "do you understand how i got this", "session_id": 3001, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "yes", "session_id": 3001, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "alr, try simplifying his equation", "session_id": 3001, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "by subtracting 14.95 from 10.95", "session_id": 3001, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "Not quite, you have the subrtact -14.95 from 10.95, you did it the other way around.", "session_id": 3001, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "if u r confused lmk", "session_id": 3001, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "I am confused", "session_id": 3001, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "Do you understand how i got that", "session_id": 3001, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "if not js tell me", "session_id": 3001, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "let me  check if I get the same thing", "session_id": 3001, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "okay!", "session_id": 3001, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "hey how can i help you today?", "session_id": 3429, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "Hello", "session_id": 3429, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "Um, I just had a question on how do you like when you like you, when you rationalize and simplify, how do you like check your answer, like using a calculator.", "session_id": 3429, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "like, you know", "session_id": 3429, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "wait can you say that again", "session_id": 3429, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "but just never mind.", "session_id": 3429, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "are you sure?", "session_id": 3429, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "We actually, can you check my work?", "session_id": 3429, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "I don't even know what the tutor was saying at this point. He was saying it. I, he wasn't even telling me how, so that's why I was asking you.", "session_id": 3429, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "like, you know, I don't know", "session_id": 3429, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "what he was talking about, never minds.", "session_id": 3429, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "yea sure just show me the problem and i will", "session_id": 3429, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "Which one that just do right here. Oh yeah, this one, can you check?", "session_id": 3429, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "And it's simplified to the core, right? Like I don't have to simplify more.", "session_id": 3429, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "the picture didnt upload", "session_id": 3429, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "oh wait it did", "session_id": 3429, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "And then like, I'm just asking like, how do you, can you check your work if it's right using a calculator?", "session_id": 3429, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "you know, Is there even a way to do that at this point?", "session_id": 3429, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "yea do you have a graphing calculator or a scientific calculator", "session_id": 3429, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "also that question is right", "session_id": 3429, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "My answers is right", "session_id": 3429, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 3429, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "And like, I'm have a final on this, and it's like one of the things in my final, like what other notes should I take?", "session_id": 3429, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "on this or like should I just write down that problem cause I like did a few of them on my own and I got them right. So, like, should I write extra notes on them or do I just put those types, you know.", "session_id": 3429, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "do you know how to simplify square roots that arent perfect squares", "session_id": 3429, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "like do you know how to do the square root of 40", "session_id": 3429, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "we have to simplify like 32.", "session_id": 3429, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "It is a rationalized and simplified. Why are they asking us to also simplify the", "session_id": 3429, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "i mean if that is on your final?", "session_id": 3429, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "uh, the 30 and stuff.", "session_id": 3429, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "Wait, how do we send", "session_id": 3429, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "I don't know, it doesn't say anything specifically. It just says rationalized and simplify. Oh no.", "session_id": 3429, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "Now how do we simplify this 50, I mean 30.", "session_id": 3429, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "you know", "session_id": 3429, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "yea i know what u mean", "session_id": 3429, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "if thats on you r final tho?", "session_id": 3429, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "Girl, I just say I don't know, I just say it's rationalized and simplified. I don't know.", "session_id": 3429, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "I don't know what we're doing.", "session_id": 3429, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "yea okay i gotchu do you know how to find the square root of liek 40 tho", "session_id": 3429, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "i can give you a quick rundown if you want", "session_id": 3429, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "Uh, it's, it's dirty for me.", "session_id": 3429, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "30", "session_id": 3429, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "like, do like times about something.", "session_id": 3429, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "yea 30 cant be simplified down in this case", "session_id": 3429, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "but lets say you do square root of 40, that can be simplified down", "session_id": 3429, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "and neither can", "session_id": 3429, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "so thats why im asking do you know how to do that", "session_id": 3429, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "um, I did one earlier and 10 couldn't be simplified either 30 couldn't either.", "session_id": 3429, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "54 can be simplified", "session_id": 3429, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "Show me how", "session_id": 3429, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "okay i will ill use 40 as an example", "session_id": 3429, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "im sorry for not being able to use my mic right now normally i can its just bugging right now", "session_id": 3429, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "basically when taking the square root of 40 we want to think about the factors of 40", "session_id": 3429, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "so lemme write on the board", "session_id": 3429, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "after listing the factors", "session_id": 3429, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "we want to see if any of the factors are perfect squares", "session_id": 3429, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "in this case 4 is a perfect square so lets work with the factors 4 and 10", "session_id": 3429, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "since 4 is a perfect square, the square root of 4 is equal to 2 so it can be simplified down to 2", "session_id": 3429, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "on the other hand, 10 has no factors that are a perfect square so 10 cannot be simplified which is what you told me earlier", "session_id": 3429, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "after simplifying the most we can, we multiply what we have left so we get  that", "session_id": 3429, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "the square root of 40 is equal to 2 times the square root of 10", "session_id": 3429, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "if you have any questions let me know", "session_id": 3429, "sequence_id": 61, "annotations": []}
{"role": "student", "content": "Can you give me a minute real", "session_id": 3429, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "yes take as much time as you need", "session_id": 3429, "sequence_id": 63, "annotations": []}
{"role": "student", "content": "I\u2019m over here please don\u2019t disconnect. I\u2019m here. I promise. I just have to do some other problems real quick for you to check them real quick you know", "session_id": 3429, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "how long would it take though", "session_id": 3429, "sequence_id": 65, "annotations": []}
{"role": "student", "content": "Couple of minutes", "session_id": 3429, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "okay thats fine let me know when ur back", "session_id": 3429, "sequence_id": 67, "annotations": []}
{"role": "student", "content": "How", "session_id": 3429, "sequence_id": 68, "annotations": []}
{"role": "student", "content": "Hello, can you hear me", "session_id": 3429, "sequence_id": 69, "annotations": []}
{"role": "student", "content": "Hello", "session_id": 3429, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "yes im here", "session_id": 3429, "sequence_id": 71, "annotations": []}
{"role": "student", "content": "OK, so I had asked, I'm sorry about that. Can you turn on your mic and just like explain to me I how do we simpl 54,050, what went on 54.", "session_id": 3429, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "okay give me one sec real quick", "session_id": 3429, "sequence_id": 73, "annotations": []}
{"role": "student", "content": "Mm OK", "session_id": 3429, "sequence_id": 74, "annotations": []}
{"role": "student", "content": "Silita", "session_id": 3429, "sequence_id": 75, "annotations": []}
{"role": "student", "content": "ba ba ba.", "session_id": 3429, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "OK, can you hear me?", "session_id": 3429, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "you.", "session_id": 3429, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "Hello", "session_id": 3429, "sequence_id": 79, "annotations": []}
{"role": "student", "content": "hello. Can you hear me?", "session_id": 3429, "sequence_id": 80, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 3429, "sequence_id": 81, "annotations": []}
{"role": "student", "content": "Yeah, I can hear you", "session_id": 3429, "sequence_id": 82, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 3429, "sequence_id": 83, "annotations": []}
{"role": "volunteer", "content": "Um, to get the square root of 40, basically from the beginning, we wanna list like the factors of 40, and so, um, I listed all the factors of 40 and we got 1 times 40 gives you 40, 2 times 20 gives you 40, 4 times 10, 5 times 8, and that's all the factors of 40. Um, and then basically after that, um, you wanna see if any of the factors are a perfect square. So in this case,", "session_id": 3429, "sequence_id": 84, "annotations": []}
{"role": "volunteer", "content": "we saw that um 4 was a, a perfect square, and 4 goes along with 10, since 4 times 10 gives you 40. And so we're gonna work with the factors 4 and 10. So that's why I split the square root of 40 into the square root of 4 and 10. And then from there we're gonna, um, we're gonna take the perfect square that we saw and the perfect, um, the square root of 4 would be 2. So I simplified that down to a 2, and as you said", "session_id": 3429, "sequence_id": 85, "annotations": []}
{"role": "volunteer", "content": "earlier, um, the square root of 10 can't be simplified, and that's because um the factors of 10 are 1, 10 and then 2 times 5, and none of them are perfect squares, so it can't be simplified. So the thing that we have left is 2, as a whole number and then the square root of 10, and then basically in order to put it all together, we get that the square root of 40 is equal to 2 times the square root of 10. Does that make sense?", "session_id": 3429, "sequence_id": 86, "annotations": []}
{"role": "volunteer", "content": "I do.", "session_id": 3429, "sequence_id": 87, "annotations": []}
{"role": "volunteer", "content": "What", "session_id": 3429, "sequence_id": 88, "annotations": []}
{"role": "student", "content": "So the factors for uh", "session_id": 3429, "sequence_id": 89, "annotations": []}
{"role": "student", "content": "54 would be like 3 or something.", "session_id": 3429, "sequence_id": 90, "annotations": []}
{"role": "volunteer", "content": "Um", "session_id": 3429, "sequence_id": 91, "annotations": []}
{"role": "volunteer", "content": "well, I, yeah, 3 does work, but in this case, um, as I said, after listing out like the factors of it. So after listing out the factors of 54, um, you would see that there's a factor of 9 times 6 and 9 is a perfect square, so we would work with 9 and 6.", "session_id": 3429, "sequence_id": 92, "annotations": []}
{"role": "student", "content": "So I said I put a picture of it, so I would just do uh", "session_id": 3429, "sequence_id": 93, "annotations": []}
{"role": "student", "content": "that", "session_id": 3429, "sequence_id": 94, "annotations": []}
{"role": "volunteer", "content": "I.", "session_id": 3429, "sequence_id": 95, "annotations": []}
{"role": "volunteer", "content": "like that.", "session_id": 3429, "sequence_id": 96, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 3429, "sequence_id": 97, "annotations": []}
{"role": "volunteer", "content": "Um.", "session_id": 3429, "sequence_id": 98, "annotations": []}
{"role": "volunteer", "content": "um", "session_id": 3429, "sequence_id": 99, "annotations": []}
{"role": "student", "content": "So right here, I would, I would just put like", "session_id": 3429, "sequence_id": 100, "annotations": []}
{"role": "student", "content": "50", "session_id": 3429, "sequence_id": 101, "annotations": []}
{"role": "student", "content": "Oh.", "session_id": 3429, "sequence_id": 102, "annotations": []}
{"role": "volunteer", "content": "yeah, so you're like almost there. Um, the square root of 54, so", "session_id": 3429, "sequence_id": 103, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 3429, "sequence_id": 104, "annotations": []}
{"role": "volunteer", "content": "God.", "session_id": 3429, "sequence_id": 105, "annotations": []}
{"role": "volunteer", "content": "OK. Um, let's do it here.", "session_id": 3429, "sequence_id": 106, "annotations": []}
{"role": "volunteer", "content": "The square root of 54.", "session_id": 3429, "sequence_id": 107, "annotations": []}
{"role": "volunteer", "content": "What factors would you use in order to simplify it?", "session_id": 3429, "sequence_id": 108, "annotations": []}
{"role": "volunteer", "content": "Yeah, and then, um, based on the one that was your perfect score. Um, OK, when you do, like, put it underneath like the lines, make sure you include like the square root on top of them, because then it allows you to like keeping track of like which one you have simplified and which one you're still working to simplify, because like right now when you didn't include the perfect square symbol, it like, basically says that it be like factored down to the", "session_id": 3429, "sequence_id": 109, "annotations": []}
{"role": "volunteer", "content": "pot like whole numbers of 6 and 9, and that's it.", "session_id": 3429, "sequence_id": 110, "annotations": []}
{"role": "volunteer", "content": "But we're still like square rooting them, if that makes sense.", "session_id": 3429, "sequence_id": 111, "annotations": []}
{"role": "student", "content": "Oh, after all that, for that step, actually the answer I didn't get 54/30 I got uh 6 square root to 6 cause uh", "session_id": 3429, "sequence_id": 112, "annotations": []}
{"role": "student", "content": "oh ****, OK", "session_id": 3429, "sequence_id": 113, "annotations": []}
{"role": "volunteer", "content": "Do you get enough", "session_id": 3429, "sequence_id": 114, "annotations": []}
{"role": "student", "content": "Yeah, I'm gonna upload another picture and we're basically just doing that.", "session_id": 3429, "sequence_id": 115, "annotations": []}
{"role": "student", "content": "right? to some flowers and food.", "session_id": 3429, "sequence_id": 116, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 3429, "sequence_id": 117, "annotations": []}
{"role": "student", "content": "I pulled the picture, can you see, like, we're basically just doing that, right?", "session_id": 3429, "sequence_id": 118, "annotations": []}
{"role": "volunteer", "content": "Yeah, and then that should be what you end up with.", "session_id": 3429, "sequence_id": 119, "annotations": []}
{"role": "student", "content": "But your way is like shorter. Like we don't have to show all that, do we?", "session_id": 3429, "sequence_id": 120, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 3429, "sequence_id": 121, "annotations": []}
{"role": "volunteer", "content": "Hm", "session_id": 3429, "sequence_id": 122, "annotations": []}
{"role": "volunteer", "content": "No. Well, like on your final, it would really help you to like um really see what's happening and it's like a more shorter, like easier way. So yeah.", "session_id": 3429, "sequence_id": 123, "annotations": []}
{"role": "student", "content": "Then like obviously our answer would be 6, but why not 9?", "session_id": 3429, "sequence_id": 124, "annotations": []}
{"role": "volunteer", "content": "What do you think it would be 9", "session_id": 3429, "sequence_id": 125, "annotations": []}
{"role": "student", "content": "I just wanted the factors.", "session_id": 3429, "sequence_id": 126, "annotations": []}
{"role": "volunteer", "content": "Yeah, it is, but um, basically when you do factor down 54, you get 6 and 9, right? But 9 is a square root, I mean, a perfect square. So, um, remember when we factored it down and then I told you to like remember to put the square root sign on top of each of them. Basically, when you're going from there, taking like the square root of 9, you would get just the number 3 by itself. So there would be no uh square root on, like on top of it because that's what it simplifies down to", "session_id": 3429, "sequence_id": 127, "annotations": []}
{"role": "volunteer", "content": "But then you still have the square root of 6. So then you would get 3 times the square root of 6 on top as their numerator, and then 3 on the numerator and 3 on the denominator cancel each other out, so then you're just left with the square root of 6.", "session_id": 3429, "sequence_id": 128, "annotations": []}
{"role": "volunteer", "content": "Is there anything else you need help with", "session_id": 3429, "sequence_id": 129, "annotations": []}
{"role": "student", "content": "I'm just writing this down.", "session_id": 3429, "sequence_id": 130, "annotations": []}
{"role": "student", "content": "We almost final like we can use a paper. So should I write like on a like", "session_id": 3429, "sequence_id": 131, "annotations": []}
{"role": "student", "content": "factors.", "session_id": 3429, "sequence_id": 132, "annotations": []}
{"role": "student", "content": "of the numbers, 40, you know.", "session_id": 3429, "sequence_id": 133, "annotations": []}
{"role": "volunteer", "content": "if you want, you dont have to but it would help you", "session_id": 3429, "sequence_id": 134, "annotations": []}
{"role": "student", "content": "Well, I don't know what numbers are gonna be on there cause I, I don't wanna waste like the sheet because around that I use like one sheet.", "session_id": 3429, "sequence_id": 135, "annotations": []}
{"role": "student", "content": "Hm", "session_id": 3429, "sequence_id": 136, "annotations": []}
{"role": "volunteer", "content": "yea its fine you dont really have to", "session_id": 3429, "sequence_id": 137, "annotations": []}
{"role": "student", "content": "I am uploading a problem is it write", "session_id": 3429, "sequence_id": 138, "annotations": []}
{"role": "volunteer", "content": "yea ill check send it", "session_id": 3429, "sequence_id": 139, "annotations": []}
{"role": "student", "content": "Is this simplified enough", "session_id": 3429, "sequence_id": 140, "annotations": []}
{"role": "volunteer", "content": "where is it", "session_id": 3429, "sequence_id": 141, "annotations": []}
{"role": "volunteer", "content": "oh wait i see it", "session_id": 3429, "sequence_id": 142, "annotations": []}
{"role": "volunteer", "content": "yes the square root of ten cannot be simplified anymore so it is simplified down to the most", "session_id": 3429, "sequence_id": 143, "annotations": []}
{"role": "student", "content": "Okay", "session_id": 3429, "sequence_id": 144, "annotations": []}
{"role": "student", "content": "Ima do another one tell me if sorry", "session_id": 3429, "sequence_id": 145, "annotations": []}
{"role": "student", "content": "Write", "session_id": 3429, "sequence_id": 146, "annotations": []}
{"role": "volunteer", "content": "yea of course", "session_id": 3429, "sequence_id": 147, "annotations": []}
{"role": "volunteer", "content": "course", "session_id": 3429, "sequence_id": 148, "annotations": []}
{"role": "volunteer", "content": "hey are you still there?", "session_id": 3429, "sequence_id": 149, "annotations": []}
{"role": "volunteer", "content": "Hello?", "session_id": 3429, "sequence_id": 150, "annotations": []}
{"role": "volunteer", "content": "hello!", "session_id": 4463, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "hi could yu turn on your home office", "session_id": 4463, "sequence_id": 1, "annotations": [{"pii_type": "LOCATION", "surrogate": "home office", "start": 25, "end": 36}]}
{"role": "volunteer", "content": "i dont have one sadly", "session_id": 4463, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "i dont have my mic on m", "session_id": 4463, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "ok so i will take phots of my prolems and share them", "session_id": 4463, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "okay i got it", "session_id": 4463, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "okay", "session_id": 4463, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "so is it the bottom one?", "session_id": 4463, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "yes problem 7", "session_id": 4463, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "okay", "session_id": 4463, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "so", "session_id": 4463, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "we know that if i line is horizontal", "session_id": 4463, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "it has to add 180 degrees", "session_id": 4463, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "so what we would first do i set up the equation", "session_id": 4463, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "3x+2x+x = 180", "session_id": 4463, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "understanding so far?", "session_id": 4463, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "3x+2x=5x", "session_id": 4463, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "nice try but not exactly", "session_id": 4463, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "do you remember combingin like terms?", "session_id": 4463, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "have you learned that yet?", "session_id": 4463, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "yes but i dont quite know", "session_id": 4463, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "by the way you can upload your photo here if you dont wanna be share screening the whole time", "session_id": 4463, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "but", "session_id": 4463, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "let me make an example", "session_id": 4463, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "of adding like terms", "session_id": 4463, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "so we have that right", "session_id": 4463, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "do you know what we have to do next?", "session_id": 4463, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "we just add the x's and y's", "session_id": 4463, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "we would get that", "session_id": 4463, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "that is just a simple example of adding like terms if you remember", "session_id": 4463, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "so are you understanding so far?", "session_id": 4463, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "yes", "session_id": 4463, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "okay now let me stop backtraking", "session_id": 4463, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "i will get to your problem now", "session_id": 4463, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "so we know all of the angles MUST add 180 degrees", "session_id": 4463, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "so do you know what our equation would be?", "session_id": 4463, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "5x+x=180", "session_id": 4463, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "Great!!", "session_id": 4463, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "now just add the other x", "session_id": 4463, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "to get 6", "session_id": 4463, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "so now what are we left with?", "session_id": 4463, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "6x/6 to get x alone", "session_id": 4463, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "not quite", "session_id": 4463, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "we would get", "session_id": 4463, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "6x = 180", "session_id": 4463, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "oh wait", "session_id": 4463, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "actually", "session_id": 4463, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "you might be right", "session_id": 4463, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "i think im wrong", "session_id": 4463, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "so yeah you would devide both sides by 6", "session_id": 4463, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "MY BAD", "session_id": 4463, "sequence_id": 50, "annotations": []}
{"role": "student", "content": "your good", "session_id": 4463, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "so yeah after we get that we would devide both sides by 2", "session_id": 4463, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "by 6 i mean", "session_id": 4463, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "and boom", "session_id": 4463, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "we get our answer", "session_id": 4463, "sequence_id": 55, "annotations": []}
{"role": "student", "content": "x=30", "session_id": 4463, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "yea", "session_id": 4463, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "should i try making another example?", "session_id": 4463, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "so we can practice it one more time", "session_id": 4463, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "or are you good?", "session_id": 4463, "sequence_id": 60, "annotations": []}
{"role": "student", "content": "i have about 3 more assignments i need help with", "session_id": 4463, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "okay", "session_id": 4463, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "just upload the picture here and i can help!", "session_id": 4463, "sequence_id": 63, "annotations": []}
{"role": "student", "content": "question 89", "session_id": 4463, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "okay", "session_id": 4463, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "i see", "session_id": 4463, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "so", "session_id": 4463, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "basically", "session_id": 4463, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "so we would have", "session_id": 4463, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "4x = 62", "session_id": 4463, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "because", "session_id": 4463, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "they are opposites", "session_id": 4463, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "so", "session_id": 4463, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "they both must equal the same thing", "session_id": 4463, "sequence_id": 74, "annotations": []}
{"role": "volunteer", "content": "so our equation here", "session_id": 4463, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "would be", "session_id": 4463, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "4x = 62", "session_id": 4463, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "could you solve that for me?", "session_id": 4463, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "firstly do you understand why the equation is like that", "session_id": 4463, "sequence_id": 79, "annotations": []}
{"role": "student", "content": "cause its a supplementasy angle", "session_id": 4463, "sequence_id": 80, "annotations": []}
{"role": "volunteer", "content": "not quite", "session_id": 4463, "sequence_id": 81, "annotations": []}
{"role": "volunteer", "content": "supplomentary is when angles add 180 degrees", "session_id": 4463, "sequence_id": 82, "annotations": []}
{"role": "volunteer", "content": "so like that example you showed last time", "session_id": 4463, "sequence_id": 83, "annotations": []}
{"role": "volunteer", "content": "that was a supplementary", "session_id": 4463, "sequence_id": 84, "annotations": []}
{"role": "volunteer", "content": "because it was a stright line", "session_id": 4463, "sequence_id": 85, "annotations": []}
{"role": "volunteer", "content": "but this one", "session_id": 4463, "sequence_id": 86, "annotations": []}
{"role": "volunteer", "content": "is a little diffrent", "session_id": 4463, "sequence_id": 87, "annotations": []}
{"role": "student", "content": "complementary", "session_id": 4463, "sequence_id": 88, "annotations": []}
{"role": "volunteer", "content": "also no", "session_id": 4463, "sequence_id": 89, "annotations": []}
{"role": "volunteer", "content": "but nice guess!", "session_id": 4463, "sequence_id": 90, "annotations": []}
{"role": "volunteer", "content": "they are vertical angles", "session_id": 4463, "sequence_id": 91, "annotations": []}
{"role": "volunteer", "content": "they are two angles", "session_id": 4463, "sequence_id": 92, "annotations": []}
{"role": "volunteer", "content": "make from crossing lines", "session_id": 4463, "sequence_id": 93, "annotations": []}
{"role": "volunteer", "content": "but the rule for these angles are that", "session_id": 4463, "sequence_id": 94, "annotations": []}
{"role": "volunteer", "content": "they must ALWAYS equal the same  thing", "session_id": 4463, "sequence_id": 95, "annotations": []}
{"role": "volunteer", "content": "because the are opposites", "session_id": 4463, "sequence_id": 96, "annotations": []}
{"role": "volunteer", "content": "understanding so far?", "session_id": 4463, "sequence_id": 97, "annotations": []}
{"role": "student", "content": "YES", "session_id": 4463, "sequence_id": 98, "annotations": []}
{"role": "volunteer", "content": "k nice!", "session_id": 4463, "sequence_id": 99, "annotations": []}
{"role": "volunteer", "content": "so we do this equation because since we know one side is 62", "session_id": 4463, "sequence_id": 100, "annotations": []}
{"role": "volunteer", "content": "the other must also equal too ...", "session_id": 4463, "sequence_id": 101, "annotations": []}
{"role": "volunteer", "content": "62!", "session_id": 4463, "sequence_id": 102, "annotations": []}
{"role": "volunteer", "content": "that is why the equation is formed like that", "session_id": 4463, "sequence_id": 103, "annotations": []}
{"role": "student", "content": "so would we divide both sides by 54", "session_id": 4463, "sequence_id": 104, "annotations": []}
{"role": "volunteer", "content": "by 4 yes", "session_id": 4463, "sequence_id": 105, "annotations": []}
{"role": "volunteer", "content": "could you do that for me?", "session_id": 4463, "sequence_id": 106, "annotations": []}
{"role": "volunteer", "content": "use like a calculator or something", "session_id": 4463, "sequence_id": 107, "annotations": []}
{"role": "student", "content": "15.5", "session_id": 4463, "sequence_id": 108, "annotations": []}
{"role": "volunteer", "content": "YESSSS", "session_id": 4463, "sequence_id": 109, "annotations": []}
{"role": "volunteer", "content": "niceeee", "session_id": 4463, "sequence_id": 110, "annotations": []}
{"role": "volunteer", "content": "there you go", "session_id": 4463, "sequence_id": 111, "annotations": []}
{"role": "volunteer", "content": "you got your answer", "session_id": 4463, "sequence_id": 112, "annotations": []}
{"role": "volunteer", "content": "simple as that", "session_id": 4463, "sequence_id": 113, "annotations": []}
{"role": "volunteer", "content": "is there any more problems you would like me to go over?", "session_id": 4463, "sequence_id": 114, "annotations": []}
{"role": "student", "content": "we did the wrong problem", "session_id": 4463, "sequence_id": 115, "annotations": []}
{"role": "student", "content": "there was one at the very top you misseed", "session_id": 4463, "sequence_id": 116, "annotations": []}
{"role": "volunteer", "content": "ohhh", "session_id": 4463, "sequence_id": 117, "annotations": []}
{"role": "volunteer", "content": "its okay", "session_id": 4463, "sequence_id": 118, "annotations": []}
{"role": "volunteer", "content": "the more practice the better!", "session_id": 4463, "sequence_id": 119, "annotations": []}
{"role": "volunteer", "content": "trust me", "session_id": 4463, "sequence_id": 120, "annotations": []}
{"role": "volunteer", "content": "these things take alot of practice", "session_id": 4463, "sequence_id": 121, "annotations": []}
{"role": "volunteer", "content": "took me awhile to learn", "session_id": 4463, "sequence_id": 122, "annotations": []}
{"role": "student", "content": "ok", "session_id": 4463, "sequence_id": 123, "annotations": []}
{"role": "student", "content": "ill enlarge", "session_id": 4463, "sequence_id": 124, "annotations": []}
{"role": "volunteer", "content": "could you write the question in chat", "session_id": 4463, "sequence_id": 125, "annotations": []}
{"role": "volunteer", "content": "it might make it easier", "session_id": 4463, "sequence_id": 126, "annotations": []}
{"role": "student", "content": "angle p and q are supplementary detrmine the measur of angle p if angle q is 95.7", "session_id": 4463, "sequence_id": 127, "annotations": []}
{"role": "volunteer", "content": "okay this one is super easy once you understand", "session_id": 4463, "sequence_id": 128, "annotations": []}
{"role": "volunteer", "content": "do you know what supplementary angles must add up too?", "session_id": 4463, "sequence_id": 129, "annotations": []}
{"role": "student", "content": "180", "session_id": 4463, "sequence_id": 130, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 4463, "sequence_id": 131, "annotations": []}
{"role": "volunteer", "content": "so we already have the first value", "session_id": 4463, "sequence_id": 132, "annotations": []}
{"role": "volunteer", "content": "so just subtract 95.7", "session_id": 4463, "sequence_id": 133, "annotations": []}
{"role": "volunteer", "content": "i mean", "session_id": 4463, "sequence_id": 134, "annotations": []}
{"role": "volunteer", "content": "subtract 180 by 95.7", "session_id": 4463, "sequence_id": 135, "annotations": []}
{"role": "volunteer", "content": "and you get your answer", "session_id": 4463, "sequence_id": 136, "annotations": []}
{"role": "student", "content": "84.3", "session_id": 4463, "sequence_id": 137, "annotations": []}
{"role": "volunteer", "content": "yeah", "session_id": 4463, "sequence_id": 138, "annotations": []}
{"role": "volunteer", "content": "see", "session_id": 4463, "sequence_id": 139, "annotations": []}
{"role": "volunteer", "content": "easy", "session_id": 4463, "sequence_id": 140, "annotations": []}
{"role": "volunteer", "content": "very simple question once you undestand it", "session_id": 4463, "sequence_id": 141, "annotations": []}
{"role": "student", "content": "ok uploading the the next problem", "session_id": 4463, "sequence_id": 142, "annotations": []}
{"role": "volunteer", "content": "okay ima do one more problem because i have to go soon", "session_id": 4463, "sequence_id": 143, "annotations": []}
{"role": "volunteer", "content": "okay i wrote it down now", "session_id": 4463, "sequence_id": 144, "annotations": []}
{"role": "volunteer", "content": "you dont have to share screen", "session_id": 4463, "sequence_id": 145, "annotations": []}
{"role": "volunteer", "content": "so basically", "session_id": 4463, "sequence_id": 146, "annotations": []}
{"role": "volunteer", "content": "remember what we did with the question where it added 180 degrees", "session_id": 4463, "sequence_id": 147, "annotations": []}
{"role": "volunteer", "content": "its litrally the EXACT same thing!", "session_id": 4463, "sequence_id": 148, "annotations": []}
{"role": "volunteer", "content": "sooo do you know what the equation would be?", "session_id": 4463, "sequence_id": 149, "annotations": []}
{"role": "student", "content": "2x+36=18", "session_id": 4463, "sequence_id": 150, "annotations": []}
{"role": "volunteer", "content": "Yes exactly", "session_id": 4463, "sequence_id": 151, "annotations": []}
{"role": "volunteer", "content": "since this is a complementary angle", "session_id": 4463, "sequence_id": 152, "annotations": []}
{"role": "volunteer", "content": "because", "session_id": 4463, "sequence_id": 153, "annotations": []}
{"role": "volunteer", "content": "its a 90 degree angle", "session_id": 4463, "sequence_id": 154, "annotations": []}
{"role": "volunteer", "content": "instand of the flat line we had before", "session_id": 4463, "sequence_id": 155, "annotations": []}
{"role": "volunteer", "content": "so actually it would be 2x + 26 = 90", "session_id": 4463, "sequence_id": 156, "annotations": []}
{"role": "volunteer", "content": "you were really close tho!", "session_id": 4463, "sequence_id": 157, "annotations": []}
{"role": "volunteer", "content": "just a small math error", "session_id": 4463, "sequence_id": 158, "annotations": []}
{"role": "student", "content": "so we divide 2 on both sides then add our awnser to 1 80", "session_id": 4463, "sequence_id": 159, "annotations": []}
{"role": "volunteer", "content": "so first actually", "session_id": 4463, "sequence_id": 160, "annotations": []}
{"role": "volunteer", "content": "we need to move the 26 away", "session_id": 4463, "sequence_id": 161, "annotations": []}
{"role": "volunteer", "content": "because we need to isolate the x", "session_id": 4463, "sequence_id": 162, "annotations": []}
{"role": "volunteer", "content": "basically a fancy way of saying", "session_id": 4463, "sequence_id": 163, "annotations": []}
{"role": "volunteer", "content": "put it alone", "session_id": 4463, "sequence_id": 164, "annotations": []}
{"role": "student", "content": "but isnt the 2x the one that needs to be isolated", "session_id": 4463, "sequence_id": 165, "annotations": []}
{"role": "volunteer", "content": "yeah", "session_id": 4463, "sequence_id": 166, "annotations": []}
{"role": "volunteer", "content": "but first", "session_id": 4463, "sequence_id": 167, "annotations": []}
{"role": "volunteer", "content": "we need to take away the 26 from the side where the x is on", "session_id": 4463, "sequence_id": 168, "annotations": []}
{"role": "volunteer", "content": "you have the right idea", "session_id": 4463, "sequence_id": 169, "annotations": []}
{"role": "student", "content": "so we subtract 36 to cancel out", "session_id": 4463, "sequence_id": 170, "annotations": []}
{"role": "volunteer", "content": "so yeah we just move the 26 to the other side of the equal sign", "session_id": 4463, "sequence_id": 171, "annotations": []}
{"role": "volunteer", "content": "so basically", "session_id": 4463, "sequence_id": 172, "annotations": []}
{"role": "volunteer", "content": "we get this", "session_id": 4463, "sequence_id": 173, "annotations": []}
{"role": "volunteer", "content": "so now the x is finally alone", "session_id": 4463, "sequence_id": 174, "annotations": []}
{"role": "student", "content": "you keep saying 26 but the problem is with 36", "session_id": 4463, "sequence_id": 175, "annotations": []}
{"role": "volunteer", "content": "oh really", "session_id": 4463, "sequence_id": 176, "annotations": []}
{"role": "volunteer", "content": "my bad", "session_id": 4463, "sequence_id": 177, "annotations": []}
{"role": "volunteer", "content": "it dosent change much", "session_id": 4463, "sequence_id": 178, "annotations": []}
{"role": "volunteer", "content": "there you go", "session_id": 4463, "sequence_id": 179, "annotations": []}
{"role": "volunteer", "content": "so are you understanding so far what is happening?", "session_id": 4463, "sequence_id": 180, "annotations": []}
{"role": "student", "content": "x=54", "session_id": 4463, "sequence_id": 181, "annotations": []}
{"role": "student", "content": "yes", "session_id": 4463, "sequence_id": 182, "annotations": []}
{"role": "volunteer", "content": "it would be 2x = 54", "session_id": 4463, "sequence_id": 183, "annotations": []}
{"role": "volunteer", "content": "do you know the final step?", "session_id": 4463, "sequence_id": 184, "annotations": []}
{"role": "student", "content": "divide 2 on both sidesd", "session_id": 4463, "sequence_id": 185, "annotations": []}
{"role": "volunteer", "content": "yeahh!", "session_id": 4463, "sequence_id": 186, "annotations": []}
{"role": "student", "content": "x=27", "session_id": 4463, "sequence_id": 187, "annotations": []}
{"role": "volunteer", "content": "yeahh", "session_id": 4463, "sequence_id": 188, "annotations": []}
{"role": "volunteer", "content": "nice!", "session_id": 4463, "sequence_id": 189, "annotations": []}
{"role": "student", "content": "Thank you for the help Mr. Green", "session_id": 4463, "sequence_id": 190, "annotations": [{"pii_type": "PERSON", "surrogate": "Mr. Green", "start": 23, "end": 32}]}
{"role": "volunteer", "content": "np man", "session_id": 4463, "sequence_id": 191, "annotations": []}
{"role": "volunteer", "content": "you have a great rest of your day!", "session_id": 4463, "sequence_id": 192, "annotations": []}
{"role": "student", "content": "you too", "session_id": 4463, "sequence_id": 193, "annotations": []}
{"role": "volunteer", "content": "Hello!", "session_id": 7403, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "How can I help?", "session_id": 7403, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "I need help with this study guide", "session_id": 7403, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "Sure!", "session_id": 7403, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "I got 6 more questions left to do", "session_id": 7403, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "Ok", "session_id": 7403, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "skip 5 I got that done", "session_id": 7403, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "Sounds good, so you want to start on 6?", "session_id": 7403, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "yup", "session_id": 7403, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "Sure, it's sort of a weird one since it doesn't tell you how much it is rotated by, we just need to check the possible answers", "session_id": 7403, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "Let's start by using what we know and draw out CD", "session_id": 7403, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "so c at origin and d and 3 4?", "session_id": 7403, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "yes!", "session_id": 7403, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "then what", "session_id": 7403, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "lets mark each of the possible points for", "session_id": 7403, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "D", "session_id": 7403, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "Do you see all of those marks?", "session_id": 7403, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "yes", "session_id": 7403, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "Great, now think about how a rotation affects CD, do any of these points look ood?", "session_id": 7403, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "can you like explain that again", "session_id": 7403, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "sure", "session_id": 7403, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "Do you know what happens to a point if its rotated around the origin?", "session_id": 7403, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "its opposite?", "session_id": 7403, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "not quite, thats a reflection", "session_id": 7403, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "A rotation around the origin means the point will circle around the origin", "session_id": 7403, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "See the green marks?", "session_id": 7403, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "thats showing the rotation of point D", "session_id": 7403, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 7403, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "so if we know D' is the result of a rotation, which D' option must be wrong?", "session_id": 7403, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "b", "session_id": 7403, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "Great job!", "session_id": 7403, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "thats because b results in a shortened CD, and a rotation will not effect the size of the line", "session_id": 7403, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "well done!", "session_id": 7403, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "its very important to understand what an operation", "session_id": 7403, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "(like rotation or reflection)", "session_id": 7403, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "means and how it effects the coordinates", "session_id": 7403, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "Are you ready for 7?", "session_id": 7403, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 7403, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "Great, let's start again with what we know", "session_id": 7403, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "I'll highlight the important stuff", "session_id": 7403, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "Do you know what rigid means in this question?", "session_id": 7403, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "no", "session_id": 7403, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "Sure, in this case it means that the shape will stay the same exact size", "session_id": 7403, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "so each line must have the same distance through the transformation", "session_id": 7403, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "It's very important to remember that", "session_id": 7403, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "Now that we know that, let's draw the original shape. Can you mark D,E and F on the board?", "session_id": 7403, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "Awesome!", "session_id": 7403, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "Ok, now mark D' and E'", "session_id": 7403, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "Nicely done, I'm just gonna change the color so we don't get confused", "session_id": 7403, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "Ok now remember what the question asked, we need to find the possible last coordinates for F'", "session_id": 7403, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "What we know is that it must make this second triangle the same size as the original one, so go ahead and draw extra points to complete the triangle!", "session_id": 7403, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "It might help to check the answers they give!", "session_id": 7403, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "d?", "session_id": 7403, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "Good! I like that answer too", "session_id": 7403, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "Are you ready for 8?", "session_id": 7403, "sequence_id": 54, "annotations": []}
{"role": "student", "content": "yup", "session_id": 7403, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "For a problem like this, you can either picture the transformations in your head or just check the answer choices and see what fits", "session_id": 7403, "sequence_id": 56, "annotations": []}
{"role": "student", "content": "can we walkthrough actually", "session_id": 7403, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "Sure!", "session_id": 7403, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "The first thing i look for is that points that change the most, see how far apart P is from P'?", "session_id": 7403, "sequence_id": 59, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 7403, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "What transformations look like they would cause a change that we see in this shape?", "session_id": 7403, "sequence_id": 61, "annotations": []}
{"role": "student", "content": "rotation", "session_id": 7403, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "Thats an option! But let's see what happens if we do the rotation in d", "session_id": 7403, "sequence_id": 63, "annotations": []}
{"role": "student", "content": "-x -y", "session_id": 7403, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "Go ahead and draw it out!", "session_id": 7403, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "just for Q!", "session_id": 7403, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "Remember all the points need to be in the right place so you can just check one change", "session_id": 7403, "sequence_id": 67, "annotations": []}
{"role": "student", "content": "oh q is translating up", "session_id": 7403, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "Yes it gets too high after the rotation", "session_id": 7403, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "I'll show you how I do this!", "session_id": 7403, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "I'll make a color for each answer", "session_id": 7403, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "which color is correct?", "session_id": 7403, "sequence_id": 72, "annotations": []}
{"role": "student", "content": "blue?", "session_id": 7403, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "Yes good job! The key here is to compare the answers while just check one point", "session_id": 7403, "sequence_id": 74, "annotations": []}
{"role": "volunteer", "content": "Im going to undo all my changes real quick", "session_id": 7403, "sequence_id": 75, "annotations": []}
{"role": "student", "content": "how did you get blue", "session_id": 7403, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "Follow the transformations and see what happens!", "session_id": 7403, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "Look at A and do what it says for point Q", "session_id": 7403, "sequence_id": 78, "annotations": []}
{"role": "student", "content": "wait is it A or B", "session_id": 7403, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "The answer was B but I want you to find it for yourself now", "session_id": 7403, "sequence_id": 80, "annotations": []}
{"role": "volunteer", "content": "Can you try the changes in A for point Q?", "session_id": 7403, "sequence_id": 81, "annotations": []}
{"role": "student", "content": "i see how", "session_id": 7403, "sequence_id": 82, "annotations": []}
{"role": "volunteer", "content": "ok good", "session_id": 7403, "sequence_id": 83, "annotations": []}
{"role": "student", "content": "next questions", "session_id": 7403, "sequence_id": 84, "annotations": []}
{"role": "student", "content": "?", "session_id": 7403, "sequence_id": 85, "annotations": []}
{"role": "volunteer", "content": "for these types of questions, since there are many possibilities its good to check the changes yourself", "session_id": 7403, "sequence_id": 86, "annotations": []}
{"role": "volunteer", "content": "Sure!", "session_id": 7403, "sequence_id": 87, "annotations": []}
{"role": "volunteer", "content": "go ahead and upload them", "session_id": 7403, "sequence_id": 88, "annotations": []}
{"role": "student", "content": "I got three more", "session_id": 7403, "sequence_id": 89, "annotations": []}
{"role": "volunteer", "content": "alright do you know how a translation works?", "session_id": 7403, "sequence_id": 90, "annotations": []}
{"role": "student", "content": "yeah but this kinda confusing me", "session_id": 7403, "sequence_id": 91, "annotations": []}
{"role": "volunteer", "content": "Sure, lets make it easier by looking at one point and then doing it in steps", "session_id": 7403, "sequence_id": 92, "annotations": []}
{"role": "volunteer", "content": "Lets look at A, what do we have to add to X to make it in line with A'?", "session_id": 7403, "sequence_id": 93, "annotations": []}
{"role": "volunteer", "content": "(even if it means adding a negative, weird way to think of it but that's how this one is)", "session_id": 7403, "sequence_id": 94, "annotations": []}
{"role": "student", "content": "5", "session_id": 7403, "sequence_id": 95, "annotations": []}
{"role": "volunteer", "content": "Good!", "session_id": 7403, "sequence_id": 96, "annotations": []}
{"role": "volunteer", "content": "5 or -5?", "session_id": 7403, "sequence_id": 97, "annotations": []}
{"role": "student", "content": "-5", "session_id": 7403, "sequence_id": 98, "annotations": []}
{"role": "volunteer", "content": "perfect", "session_id": 7403, "sequence_id": 99, "annotations": []}
{"role": "volunteer", "content": "now how do we change y to make it the same as A'?", "session_id": 7403, "sequence_id": 100, "annotations": []}
{"role": "student", "content": "5", "session_id": 7403, "sequence_id": 101, "annotations": []}
{"role": "student", "content": "up", "session_id": 7403, "sequence_id": 102, "annotations": []}
{"role": "volunteer", "content": "not quite, lets draw our steps to make it easier", "session_id": 7403, "sequence_id": 103, "annotations": []}
{"role": "student", "content": "my fault I was looking at B", "session_id": 7403, "sequence_id": 104, "annotations": []}
{"role": "student", "content": "3", "session_id": 7403, "sequence_id": 105, "annotations": []}
{"role": "volunteer", "content": "haha don't worry", "session_id": 7403, "sequence_id": 106, "annotations": []}
{"role": "volunteer", "content": "well done!", "session_id": 7403, "sequence_id": 107, "annotations": []}
{"role": "volunteer", "content": "I'm ready for the next one if you are", "session_id": 7403, "sequence_id": 108, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 7403, "sequence_id": 109, "annotations": []}
{"role": "volunteer", "content": "good go ahead and upload it", "session_id": 7403, "sequence_id": 110, "annotations": []}
{"role": "student", "content": "wait thats it", "session_id": 7403, "sequence_id": 111, "annotations": []}
{"role": "student", "content": "?", "session_id": 7403, "sequence_id": 112, "annotations": []}
{"role": "volunteer", "content": "all i see is 10", "session_id": 7403, "sequence_id": 113, "annotations": []}
{"role": "volunteer", "content": "do you have more?", "session_id": 7403, "sequence_id": 114, "annotations": []}
{"role": "student", "content": "I mean the answer", "session_id": 7403, "sequence_id": 115, "annotations": []}
{"role": "volunteer", "content": "yes!", "session_id": 7403, "sequence_id": 116, "annotations": []}
{"role": "volunteer", "content": "a translation is just moving a coordinate by x and y, the rule is just saying by how much <-5, 3>", "session_id": 7403, "sequence_id": 117, "annotations": []}
{"role": "student", "content": "Leo", "session_id": 7403, "sequence_id": 118, "annotations": [{"pii_type": "PERSON", "surrogate": "Leo", "start": 0, "end": 3}]}
{"role": "volunteer", "content": "Okay", "session_id": 7403, "sequence_id": 119, "annotations": []}
{"role": "volunteer", "content": "Let's work one point at a time starting with A", "session_id": 7403, "sequence_id": 120, "annotations": []}
{"role": "volunteer", "content": "If it rotates around point A, what will happen to A during that step?", "session_id": 7403, "sequence_id": 121, "annotations": []}
{"role": "student", "content": "circles A or origin?", "session_id": 7403, "sequence_id": 122, "annotations": []}
{"role": "volunteer", "content": "A", "session_id": 7403, "sequence_id": 123, "annotations": []}
{"role": "student", "content": "so whatdo I do", "session_id": 7403, "sequence_id": 124, "annotations": []}
{"role": "volunteer", "content": "We follow the steps one at a time like I said", "session_id": 7403, "sequence_id": 125, "annotations": []}
{"role": "volunteer", "content": "So if A rotates around A, will it change at all?", "session_id": 7403, "sequence_id": 126, "annotations": []}
{"role": "student", "content": "no", "session_id": 7403, "sequence_id": 127, "annotations": []}
{"role": "volunteer", "content": "Good!", "session_id": 7403, "sequence_id": 128, "annotations": []}
{"role": "volunteer", "content": "Now it translates <-4, -6>", "session_id": 7403, "sequence_id": 129, "annotations": []}
{"role": "volunteer", "content": "Draw that for A", "session_id": 7403, "sequence_id": 130, "annotations": []}
{"role": "volunteer", "content": "On the right side", "session_id": 7403, "sequence_id": 131, "annotations": []}
{"role": "student", "content": "explain questions likethat first", "session_id": 7403, "sequence_id": 132, "annotations": []}
{"role": "volunteer", "content": "Sure", "session_id": 7403, "sequence_id": 133, "annotations": []}
{"role": "volunteer", "content": "So in this question we have two steps", "session_id": 7403, "sequence_id": 134, "annotations": []}
{"role": "volunteer", "content": "First we rotate 90 degrees clockwise around A", "session_id": 7403, "sequence_id": 135, "annotations": []}
{"role": "volunteer", "content": "then we translate 4 to the left and down 6", "session_id": 7403, "sequence_id": 136, "annotations": []}
{"role": "student", "content": "no just the rotating", "session_id": 7403, "sequence_id": 137, "annotations": []}
{"role": "volunteer", "content": "So we just do these steps for each point", "session_id": 7403, "sequence_id": 138, "annotations": []}
{"role": "volunteer", "content": "ah", "session_id": 7403, "sequence_id": 139, "annotations": []}
{"role": "volunteer", "content": "so for any rotation, if it rotates around itself it must not change", "session_id": 7403, "sequence_id": 140, "annotations": []}
{"role": "volunteer", "content": "its like spinning a circle, the middle will never move", "session_id": 7403, "sequence_id": 141, "annotations": []}
{"role": "volunteer", "content": "like a wheel!", "session_id": 7403, "sequence_id": 142, "annotations": []}
{"role": "student", "content": "what are the exceptions", "session_id": 7403, "sequence_id": 143, "annotations": []}
{"role": "volunteer", "content": "none", "session_id": 7403, "sequence_id": 144, "annotations": []}
{"role": "volunteer", "content": "thats why its so nice", "session_id": 7403, "sequence_id": 145, "annotations": []}
{"role": "volunteer", "content": "so if any point rotates around itself it will never change", "session_id": 7403, "sequence_id": 146, "annotations": []}
{"role": "student", "content": "but what would it say if it had to move", "session_id": 7403, "sequence_id": 147, "annotations": []}
{"role": "volunteer", "content": "well if it rotated around the origin it would move", "session_id": 7403, "sequence_id": 148, "annotations": []}
{"role": "volunteer", "content": "but since it rotates around itself it doesnt move", "session_id": 7403, "sequence_id": 149, "annotations": []}
{"role": "student", "content": "igh", "session_id": 7403, "sequence_id": 150, "annotations": []}
{"role": "volunteer", "content": "would it be easier if we start with another point?", "session_id": 7403, "sequence_id": 151, "annotations": []}
{"role": "student", "content": "nah I get it lets move on", "session_id": 7403, "sequence_id": 152, "annotations": []}
{"role": "volunteer", "content": "Ok", "session_id": 7403, "sequence_id": 153, "annotations": []}
{"role": "volunteer", "content": "So the rotation is the first step, now lets do the second translation step for A", "session_id": 7403, "sequence_id": 154, "annotations": []}
{"role": "volunteer", "content": "And then you can draw that in the right side since thats the final step", "session_id": 7403, "sequence_id": 155, "annotations": []}
{"role": "student", "content": "-2 -2", "session_id": 7403, "sequence_id": 156, "annotations": []}
{"role": "volunteer", "content": "Good!", "session_id": 7403, "sequence_id": 157, "annotations": []}
{"role": "volunteer", "content": "put that on the graph in the right side", "session_id": 7403, "sequence_id": 158, "annotations": []}
{"role": "student", "content": "then dothe same for other points", "session_id": 7403, "sequence_id": 159, "annotations": []}
{"role": "volunteer", "content": "yes!", "session_id": 7403, "sequence_id": 160, "annotations": []}
{"role": "volunteer", "content": "rotate then translate", "session_id": 7403, "sequence_id": 161, "annotations": []}
{"role": "student", "content": "Whats the rule", "session_id": 7403, "sequence_id": 162, "annotations": []}
{"role": "student", "content": "90 cw", "session_id": 7403, "sequence_id": 163, "annotations": []}
{"role": "volunteer", "content": "Since its around A you have to treat A as the origin", "session_id": 7403, "sequence_id": 164, "annotations": []}
{"role": "student", "content": "yeah it will stay 00 but what bout the others", "session_id": 7403, "sequence_id": 165, "annotations": []}
{"role": "student", "content": "whats the rule for 90 cw", "session_id": 7403, "sequence_id": 166, "annotations": []}
{"role": "volunteer", "content": "The rule is a little different since its not around the origin", "session_id": 7403, "sequence_id": 167, "annotations": []}
{"role": "student", "content": "so how do I find B and C", "session_id": 7403, "sequence_id": 168, "annotations": []}
{"role": "volunteer", "content": "Let me find an easy way to explain it real quick", "session_id": 7403, "sequence_id": 169, "annotations": []}
{"role": "volunteer", "content": "Ok so around the origin the rule is (X, y) becomes (y, -x)", "session_id": 7403, "sequence_id": 170, "annotations": []}
{"role": "volunteer", "content": "However to make this accurate for our problem, we need to translate A to the origin so we can find it for B and C", "session_id": 7403, "sequence_id": 171, "annotations": []}
{"role": "volunteer", "content": "What if I show you how I do it for B and then you do it for C", "session_id": 7403, "sequence_id": 172, "annotations": []}
{"role": "student", "content": "yes", "session_id": 7403, "sequence_id": 173, "annotations": []}
{"role": "volunteer", "content": "Ok so A to the origin is <-2, -4>", "session_id": 7403, "sequence_id": 174, "annotations": []}
{"role": "volunteer", "content": "Therefore we do the same to B", "session_id": 7403, "sequence_id": 175, "annotations": []}
{"role": "volunteer", "content": "(5, -1) translated with <-2, -4> becomes (3, -5)", "session_id": 7403, "sequence_id": 176, "annotations": []}
{"role": "volunteer", "content": "We can then rotate it around the origin (A) with the rule (y, -x) which makes b become (-5, -3)", "session_id": 7403, "sequence_id": 177, "annotations": []}
{"role": "student", "content": "ok", "session_id": 7403, "sequence_id": 178, "annotations": []}
{"role": "student", "content": "thats it for B?", "session_id": 7403, "sequence_id": 179, "annotations": []}
{"role": "volunteer", "content": "And then we have to translate B back to its correct place by reversing the translation of <-2, -4> so we do <2, 4> which makes B' (-3, 1)", "session_id": 7403, "sequence_id": 180, "annotations": []}
{"role": "volunteer", "content": "can you undo the lines your drew for A?", "session_id": 7403, "sequence_id": 181, "annotations": []}
{"role": "volunteer", "content": "ok i redrew A", "session_id": 7403, "sequence_id": 182, "annotations": []}
{"role": "volunteer", "content": "Ok now that we have B as (-3, 1) we have one last step", "session_id": 7403, "sequence_id": 183, "annotations": []}
{"role": "volunteer", "content": "because thats after the rotation, now we justt do the translation the question asks", "session_id": 7403, "sequence_id": 184, "annotations": []}
{"role": "volunteer", "content": "so B (-3, 1) after <-4, -6> becomes (-7, -5)", "session_id": 7403, "sequence_id": 185, "annotations": []}
{"role": "volunteer", "content": "Now I know that math is complicated, do you think you can do the same for C?", "session_id": 7403, "sequence_id": 186, "annotations": []}
{"role": "student", "content": "its like so many steps", "session_id": 7403, "sequence_id": 187, "annotations": []}
{"role": "student", "content": "lets see", "session_id": 7403, "sequence_id": 188, "annotations": []}
{"role": "volunteer", "content": "Yes i understand", "session_id": 7403, "sequence_id": 189, "annotations": []}
{"role": "student", "content": "you translated first?", "session_id": 7403, "sequence_id": 190, "annotations": []}
{"role": "volunteer", "content": "yes to make A become the origin", "session_id": 7403, "sequence_id": 191, "annotations": []}
{"role": "volunteer", "content": "and whatever that translation is you do the same for C", "session_id": 7403, "sequence_id": 192, "annotations": []}
{"role": "student", "content": "i got -5 -7", "session_id": 7403, "sequence_id": 193, "annotations": []}
{"role": "volunteer", "content": "close", "session_id": 7403, "sequence_id": 194, "annotations": []}
{"role": "volunteer", "content": "remember its <-2, -4>", "session_id": 7403, "sequence_id": 195, "annotations": []}
{"role": "volunteer", "content": "to set A to 0,0", "session_id": 7403, "sequence_id": 196, "annotations": []}
{"role": "volunteer", "content": "so do that to C", "session_id": 7403, "sequence_id": 197, "annotations": []}
{"role": "student", "content": "when did we -2,-4", "session_id": 7403, "sequence_id": 198, "annotations": []}
{"role": "volunteer", "content": "When we set A to 0,0", "session_id": 7403, "sequence_id": 199, "annotations": []}
{"role": "volunteer", "content": "A is 2, 4 so we need to set it to 0,0 so we can make rotating C easier and use the origin rule", "session_id": 7403, "sequence_id": 200, "annotations": []}
{"role": "student", "content": "-3,-5", "session_id": 7403, "sequence_id": 201, "annotations": []}
{"role": "volunteer", "content": "well done!", "session_id": 7403, "sequence_id": 202, "annotations": []}
{"role": "volunteer", "content": "now we use the 90 cw rule which is (y, -x)", "session_id": 7403, "sequence_id": 203, "annotations": []}
{"role": "volunteer", "content": "so what does -3,-5 become", "session_id": 7403, "sequence_id": 204, "annotations": []}
{"role": "student", "content": "-5,3", "session_id": 7403, "sequence_id": 205, "annotations": []}
{"role": "volunteer", "content": "Perfect! now we undo the translation we did to put it back in the correct place", "session_id": 7403, "sequence_id": 206, "annotations": []}
{"role": "volunteer", "content": "so with -5, 3 do <2, 4>", "session_id": 7403, "sequence_id": 207, "annotations": []}
{"role": "student", "content": "-1,5", "session_id": 7403, "sequence_id": 208, "annotations": []}
{"role": "volunteer", "content": "you did it backwards just double check", "session_id": 7403, "sequence_id": 209, "annotations": []}
{"role": "volunteer", "content": "(-5, 3) after <2, 4>", "session_id": 7403, "sequence_id": 210, "annotations": []}
{"role": "student", "content": "where do I plot -5,3", "session_id": 7403, "sequence_id": 211, "annotations": []}
{"role": "volunteer", "content": "i wouldn't plot it, its just one of our steps", "session_id": 7403, "sequence_id": 212, "annotations": []}
{"role": "volunteer", "content": "we're still just doing math", "session_id": 7403, "sequence_id": 213, "annotations": []}
{"role": "student", "content": "is -5 on x", "session_id": 7403, "sequence_id": 214, "annotations": []}
{"role": "volunteer", "content": "ah yes", "session_id": 7403, "sequence_id": 215, "annotations": []}
{"role": "volunteer", "content": "the rule does not flip x and y literally, its just how to do the math", "session_id": 7403, "sequence_id": 216, "annotations": []}
{"role": "volunteer", "content": "so x, y = -5, 3", "session_id": 7403, "sequence_id": 217, "annotations": []}
{"role": "volunteer", "content": "and then you do the <2,4> translation to -5, 3", "session_id": 7403, "sequence_id": 218, "annotations": []}
{"role": "student", "content": "-3,7", "session_id": 7403, "sequence_id": 219, "annotations": []}
{"role": "volunteer", "content": "perfect! thats the rotation all done! i know its difficult", "session_id": 7403, "sequence_id": 220, "annotations": []}
{"role": "volunteer", "content": "now we just do the translation the problem tells us to do", "session_id": 7403, "sequence_id": 221, "annotations": []}
{"role": "volunteer", "content": "<-4, -6> to (-3, 7)", "session_id": 7403, "sequence_id": 222, "annotations": []}
{"role": "student", "content": "-9,3", "session_id": 7403, "sequence_id": 223, "annotations": []}
{"role": "volunteer", "content": "not quite", "session_id": 7403, "sequence_id": 224, "annotations": []}
{"role": "volunteer", "content": "remember this means (-3 -4, 7-6)", "session_id": 7403, "sequence_id": 225, "annotations": []}
{"role": "volunteer", "content": "so what do we get for our answer here?", "session_id": 7403, "sequence_id": 226, "annotations": []}
{"role": "student", "content": "-7,1", "session_id": 7403, "sequence_id": 227, "annotations": []}
{"role": "volunteer", "content": "Perfect! and thats our answer", "session_id": 7403, "sequence_id": 228, "annotations": []}
{"role": "volunteer", "content": "go ahead and plot that", "session_id": 7403, "sequence_id": 229, "annotations": []}
{"role": "volunteer", "content": "and then on your homework sheet you can fill in the coordinates like it tells you to", "session_id": 7403, "sequence_id": 230, "annotations": []}
{"role": "volunteer", "content": "So as a recap A' is (-2, -2)", "session_id": 7403, "sequence_id": 231, "annotations": []}
{"role": "volunteer", "content": "B' is (-7, -5)", "session_id": 7403, "sequence_id": 232, "annotations": []}
{"role": "volunteer", "content": "and C' is (-7, 1)", "session_id": 7403, "sequence_id": 233, "annotations": []}
{"role": "volunteer", "content": "Great job working through that one it was a tough one", "session_id": 7403, "sequence_id": 234, "annotations": []}
{"role": "student", "content": "last one", "session_id": 7403, "sequence_id": 235, "annotations": []}
{"role": "volunteer", "content": "yes!", "session_id": 7403, "sequence_id": 236, "annotations": []}
{"role": "volunteer", "content": "So first I'll plot  the original shape", "session_id": 7403, "sequence_id": 237, "annotations": []}
{"role": "volunteer", "content": "Ok and to flip over a line, make sure to draw the line!", "session_id": 7403, "sequence_id": 238, "annotations": []}
{"role": "volunteer", "content": "Let's do the flip first, we can do this without math, just use the line to reflect!", "session_id": 7403, "sequence_id": 239, "annotations": []}
{"role": "volunteer", "content": "the pink dots are the new points after the reflection, does that make sense?", "session_id": 7403, "sequence_id": 240, "annotations": []}
{"role": "student", "content": "hold on", "session_id": 7403, "sequence_id": 241, "annotations": []}
{"role": "volunteer", "content": "sure", "session_id": 7403, "sequence_id": 242, "annotations": []}
{"role": "student", "content": "a is on the line", "session_id": 7403, "sequence_id": 243, "annotations": []}
{"role": "student", "content": "does it stay the same", "session_id": 7403, "sequence_id": 244, "annotations": []}
{"role": "volunteer", "content": "yes! good catch", "session_id": 7403, "sequence_id": 245, "annotations": []}
{"role": "volunteer", "content": "remember a reflection is like a mirror", "session_id": 7403, "sequence_id": 246, "annotations": []}
{"role": "volunteer", "content": "so it changes sides but stays the same distance away", "session_id": 7403, "sequence_id": 247, "annotations": []}
{"role": "volunteer", "content": "so if its on the line, there will be no change", "session_id": 7403, "sequence_id": 248, "annotations": []}
{"role": "student", "content": "270 ccw is same as 90 cw so y -x", "session_id": 7403, "sequence_id": 249, "annotations": []}
{"role": "volunteer", "content": "yes! well done", "session_id": 7403, "sequence_id": 250, "annotations": []}
{"role": "volunteer", "content": "and you can then draw the shape on the right side with the points", "session_id": 7403, "sequence_id": 251, "annotations": []}
{"role": "student", "content": "A -2 3 B -4 -2 C -1 -5", "session_id": 7403, "sequence_id": 252, "annotations": []}
{"role": "volunteer", "content": "Perfect!", "session_id": 7403, "sequence_id": 253, "annotations": []}
{"role": "volunteer", "content": "Great job with all of these problems", "session_id": 7403, "sequence_id": 254, "annotations": []}
{"role": "volunteer", "content": "Are you all set?", "session_id": 7403, "sequence_id": 255, "annotations": []}
{"role": "student", "content": "Thank you for your help", "session_id": 7403, "sequence_id": 256, "annotations": []}
{"role": "student", "content": "have good night", "session_id": 7403, "sequence_id": 257, "annotations": []}
{"role": "volunteer", "content": "Of course, happy to help, you as well", "session_id": 7403, "sequence_id": 258, "annotations": []}
{"role": "volunteer", "content": "Hi", "session_id": 8348, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "Hello", "session_id": 8348, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "What would you like help in?", "session_id": 8348, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "I just need to deepen my understanding on quadratic formula", "session_id": 8348, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "alright, would you like me to walk you through the formula and then we can do some practice problems?", "session_id": 8348, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "Yes please", "session_id": 8348, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "just a second", "session_id": 8348, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "Okay", "session_id": 8348, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "would you like me to derive the formula?", "session_id": 8348, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "or should we go on to the practice problems?", "session_id": 8348, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "practice problems", "session_id": 8348, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 8348, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "I'll write down a few questions, solve them please and then we'll check the answers", "session_id": 8348, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "Okay", "session_id": 8348, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "1. x^2 - 5x - 14 = 0\n2. x^2 = 11x - 28\n3. 6x^2 - x = 5\n4. x^2 + 5x + 6 = 0\n5. x^2 + 2x = -1", "session_id": 8348, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "By the way, do you know factorization?", "session_id": 8348, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 8348, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "i was never that good at it though", "session_id": 8348, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "i would suggest trying that too then, on these questions", "session_id": 8348, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "do the formula first", "session_id": 8348, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "then check it with factorization", "session_id": 8348, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "depending on how much time you have currently", "session_id": 8348, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "alright", "session_id": 8348, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "are those the right numbers?", "session_id": 8348, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "for number 1", "session_id": 8348, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "just a second", "session_id": 8348, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "checking", "session_id": 8348, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "Okay", "session_id": 8348, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "yeah so you've made a slight mistake", "session_id": 8348, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "?", "session_id": 8348, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "b = -5", "session_id": 8348, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "not 5", "session_id": 8348, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "your roots would be 7,-2", "session_id": 8348, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "ive highlighted it in the first step", "session_id": 8348, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "since b = -5", "session_id": 8348, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "-b = 5", "session_id": 8348, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "not -5", "session_id": 8348, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "so the negatives basically cancel themselves out to make it a positive?", "session_id": 8348, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "yeah", "session_id": 8348, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "ohhh", "session_id": 8348, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "the quadratic formula is -b right", "session_id": 8348, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "so the negatives cancel", "session_id": 8348, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "but im on the right track right?", "session_id": 8348, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "like im not entirely wrong?", "session_id": 8348, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "no no", "session_id": 8348, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "just that one sign change", "session_id": 8348, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "the rest was perfect", "session_id": 8348, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "basically you'll get -2,7", "session_id": 8348, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "the negative will be on the other root", "session_id": 8348, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "alr i get it now", "session_id": 8348, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "alright continue", "session_id": 8348, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "one second", "session_id": 8348, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "?", "session_id": 8348, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "you've made a mistake in the process", "session_id": 8348, "sequence_id": 53, "annotations": []}
{"role": "student", "content": "the sign wasnt it", "session_id": 8348, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "whenever we apply the formula", "session_id": 8348, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "we can only apply it when all the terms are on one side", "session_id": 8348, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "so you need a form ax^2 + bx + c = 0", "session_id": 8348, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "so you need to rearrange the terms onto one side otherwise, yes, you do end up with sign problems", "session_id": 8348, "sequence_id": 58, "annotations": []}
{"role": "student", "content": "this is getting just a tad bit confusing now", "session_id": 8348, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "alr, ill slow down a bit", "session_id": 8348, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "so basically the variables a,b,c in the quadratic formula are the coefficients of the terms when they are all on one side", "session_id": 8348, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "in the form of ax^2 + bx + c = 0", "session_id": 8348, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "in our case, the terms are not all on one side", "session_id": 8348, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "do you get it?", "session_id": 8348, "sequence_id": 64, "annotations": []}
{"role": "student", "content": "kinda", "session_id": 8348, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "basically you need to see a 0 on one side of the equation to be able to use the formula", "session_id": 8348, "sequence_id": 66, "annotations": []}
{"role": "student", "content": "OH", "session_id": 8348, "sequence_id": 67, "annotations": []}
{"role": "student", "content": "so you just make it equal to zero?", "session_id": 8348, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 8348, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "so shift the terms around so that it's equal to 0", "session_id": 8348, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "now you can apply the formula", "session_id": 8348, "sequence_id": 71, "annotations": []}
{"role": "student", "content": "did i get it right?", "session_id": 8348, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "yes that's correct", "session_id": 8348, "sequence_id": 73, "annotations": []}
{"role": "student", "content": "okay", "session_id": 8348, "sequence_id": 74, "annotations": []}
{"role": "volunteer", "content": "did you apply the formula again", "session_id": 8348, "sequence_id": 75, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 8348, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "ok great, move on", "session_id": 8348, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "and if you have a question in that part then feel free to ask", "session_id": 8348, "sequence_id": 78, "annotations": []}
{"role": "student", "content": "I have to go actually", "session_id": 8348, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "oh alright, have a nice day", "session_id": 8348, "sequence_id": 80, "annotations": []}
{"role": "student", "content": "You too", "session_id": 8348, "sequence_id": 81, "annotations": []}
{"role": "student", "content": "your a pretty good tutor", "session_id": 8348, "sequence_id": 82, "annotations": []}
{"role": "volunteer", "content": "your a pretty good student too!", "session_id": 8348, "sequence_id": 83, "annotations": []}
{"role": "student", "content": "Thanks", "session_id": 8348, "sequence_id": 84, "annotations": []}
{"role": "volunteer", "content": "hii!", "session_id": 9069, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "hii!", "session_id": 9069, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "what do we need help with  today", "session_id": 9069, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "i have been STRUGGLING so i am retaking a test tmro, so i just wanted to review the one page that i ate poopy doopy on :)", "session_id": 9069, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "and other pages too :)", "session_id": 9069, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "hahah okay!!", "session_id": 9069, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "so lets take a look at the first problem", "session_id": 9069, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "so i got the part of no correct but my op teacher did not like my reasoning", "session_id": 9069, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "ohh so do u want to skip that one or try working on reasoning", "session_id": 9069, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "well i think i didn't know what was going on", "session_id": 9069, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "so keep going plz i just wanted to mention", "session_id": 9069, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "ok!", "session_id": 9069, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "so in congreunt triangle they are the EXACT same . BUT in similar triangles only the angles are same", "session_id": 9069, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "k", "session_id": 9069, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "so since they didnt give the measurements for the sides we cant assume that the traingles are congreunt", "session_id": 9069, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "ohhhhh", "session_id": 9069, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "if they gave the side lengths we could", "session_id": 9069, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "but they didnt", "session_id": 9069, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "do u kinda get it?", "session_id": 9069, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "so my reasoning is not becasue we don't have enough information, on the lengths to prove they are congruent", "session_id": 9069, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "yes!!", "session_id": 9069, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "yay!", "session_id": 9069, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "yayy", "session_id": 9069, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "ok now let see", "session_id": 9069, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "so same thing", "session_id": 9069, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "since they didn't give us the side lengths we cant assume they are equal", "session_id": 9069, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "ok", "session_id": 9069, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "so B and C for problem4", "session_id": 9069, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "so yes u just have to make sure just since they look the same u cant assume", "session_id": 9069, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "and then lets see 5 a", "session_id": 9069, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "now look at the diagram I drew and look at problem 5 a", "session_id": 9069, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "k!", "session_id": 9069, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "is ab perpendicular to cd?", "session_id": 9069, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "so it would be false", "session_id": 9069, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "ohhhhhhh", "session_id": 9069, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "yaaa", "session_id": 9069, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "should we move on?", "session_id": 9069, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "how would i reaon it?", "session_id": 9069, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "or still stuck?", "session_id": 9069, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "u could draw a diagram and show", "session_id": 9069, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "ohhhhhhhh", "session_id": 9069, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "i see", "session_id": 9069, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": ":)", "session_id": 9069, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "okay Alright get the next page", "session_id": 9069, "sequence_id": 43, "annotations": [{"pii_type": "NRP", "surrogate": "Alright", "start": 5, "end": 12}]}
{"role": "volunteer", "content": "okyyy", "session_id": 9069, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "also dont mind how terrible i did", "session_id": 9069, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "it was 7 am", "session_id": 9069, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "on a monday", "session_id": 9069, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "no no trust me iv done worse", "session_id": 9069, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "kk hold up", "session_id": 9069, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "ok! lemme know once ur ready", "session_id": 9069, "sequence_id": 50, "annotations": []}
{"role": "student", "content": "k", "session_id": 9069, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "this was mad confusing", "session_id": 9069, "sequence_id": 52, "annotations": []}
{"role": "student", "content": "the purple pen is correct", "session_id": 9069, "sequence_id": 53, "annotations": []}
{"role": "student", "content": "the pencil is not :(", "session_id": 9069, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "aww ok!", "session_id": 9069, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "ok so look at the end of the a)", "session_id": 9069, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "it says not warm", "session_id": 9069, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "so the NOT makes it a contrapositive", "session_id": 9069, "sequence_id": 58, "annotations": []}
{"role": "student", "content": "k", "session_id": 9069, "sequence_id": 59, "annotations": []}
{"role": "student", "content": "but was about inverse it is the same?", "session_id": 9069, "sequence_id": 60, "annotations": []}
{"role": "student", "content": "or would i know by the statement", "session_id": 9069, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "no for the inverse it is if not warm then frozen so basically just switches the order", "session_id": 9069, "sequence_id": 62, "annotations": []}
{"role": "student", "content": "oh", "session_id": 9069, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "HI there!", "session_id": 15154, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "Hi!", "session_id": 15154, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "How can I help you?", "session_id": 15154, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "I was wondering if you could help me with my Geometry homework", "session_id": 15154, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "Ofc!", "session_id": 15154, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "Is it okay if I can send you the files? Its on paper", "session_id": 15154, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "And can you also check my answers for them?", "session_id": 15154, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "I can't check your answers due to policies but if there are questions you aren't sure about I'd be happy to take a look!", "session_id": 15154, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "Oh", "session_id": 15154, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "I just wanted to know if I had them right though", "session_id": 15154, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "Yea unfortunately I can't. However, I", "session_id": 15154, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "I'd be happy to walk you through them", "session_id": 15154, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "Okay!", "session_id": 15154, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "Great!", "session_id": 15154, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "Alright so as of right now, what question are you most concerned on?", "session_id": 15154, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "Can you help me with the one thats says Given the midpoint M(0,3/2), Ex:4 and the DO later?", "session_id": 15154, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "And the Your Turn", "session_id": 15154, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "Oh okay let's start there.", "session_id": 15154, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "So first of all for Ex.4", "session_id": 15154, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "Do you see the ones I circled?", "session_id": 15154, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "yea", "session_id": 15154, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "Alright so for Ex.4", "session_id": 15154, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "there is a pattern shown", "session_id": 15154, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "going from point R to point M", "session_id": 15154, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "in the x value and the y value", "session_id": 15154, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "we just need to apply that pattern to m to find s", "session_id": 15154, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "What do you mean?", "session_id": 15154, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "can you see my pointer>", "session_id": 15154, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "?", "session_id": 15154, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 15154, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "Do we add?", "session_id": 15154, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "okay so basically", "session_id": 15154, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "what is the x value of point R", "session_id": 15154, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "5", "session_id": 15154, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "Yeah. Now, what the x value of point m", "session_id": 15154, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "1?", "session_id": 15154, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "Yup!", "session_id": 15154, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "Now", "session_id": 15154, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "What is the different of 5 and 1", "session_id": 15154, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "4?", "session_id": 15154, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "Yes!", "session_id": 15154, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "So do we put 4 for the x value of RS?", "session_id": 15154, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "So basically, we subtracted 4 from 5 to get 1. Now we need to subtract 4 from 1 to get the x value of S.", "session_id": 15154, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "So 1-4 would be -3.", "session_id": 15154, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "so now we have the x value of s", "session_id": 15154, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "Wait I thought it was 4 though", "session_id": 15154, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "Okay, what was your process to get 4 as the S value?", "session_id": 15154, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "5-1?", "session_id": 15154, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "yea but that's just the pattern", "session_id": 15154, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "we need to subtract 4 from 1 to get the S value", "session_id": 15154, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "because we subtracted 4 from the the x value of R", "session_id": 15154, "sequence_id": 50, "annotations": []}
{"role": "student", "content": "Oh", "session_id": 15154, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "Yup! Does it make a bit more sense now>", "session_id": 15154, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "?", "session_id": 15154, "sequence_id": 53, "annotations": []}
{"role": "student", "content": "Wait I think I have to go now", "session_id": 15154, "sequence_id": 54, "annotations": []}
{"role": "student", "content": "Im so sorry", "session_id": 15154, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "All good!", "session_id": 15154, "sequence_id": 56, "annotations": []}
{"role": "student", "content": "Thank you so much for helping me though!", "session_id": 15154, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "Bye bye!", "session_id": 15154, "sequence_id": 58, "annotations": []}
{"role": "student", "content": ":)", "session_id": 15154, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "Ofc1", "session_id": 15154, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "Anytime!", "session_id": 15154, "sequence_id": 61, "annotations": []}
{"role": "student", "content": "Bye!", "session_id": 15154, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "Hello, how can I help you?", "session_id": 15598, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "hello i would like you to solve the questions on the white board", "session_id": 15598, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "Ok.", "session_id": 15598, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "i would like to turn this in", "session_id": 15598, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "today", "session_id": 15598, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "Ok.", "session_id": 15598, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "thank u", "session_id": 15598, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "So since the roots are -2, -1, 3, and 4", "session_id": 15598, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "You can can get equation (x-2)(x-1)(x+3)(x+4)", "session_id": 15598, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "This is derived by creating a factor (x - r) for each root 'r' and then expanding the product, maintaining the leading coefficient of 1.", "session_id": 15598, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "ok", "session_id": 15598, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "However this is more of a pre-calculus topic rather than algebra 2 for further reference", "session_id": 15598, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "For each root 'r', the corresponding factor is (x - r).", "session_id": 15598, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "For root -2, the factor is (x - (-2)) = (x + 2).\nFor root -1, the factor is (x - (-1)) = (x + 1).\nFor root 3, the factor is (x - 3).\nFor root 4, the factor is (x - 4).", "session_id": 15598, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "ok", "session_id": 15598, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "Multiply these factors together to form the polynomial.\nf(x) = (x + 2)(x + 1)(x - 3)(x - 4).", "session_id": 15598, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "Now we can do(x + 2)(x + 1) = x\u00b2 + 3x + 2\n(x - 3)(x - 4) = x\u00b2 - 7x + 12\n(x\u00b2 + 3x + 2)(x\u00b2 - 7x + 12) = x\u2074 - 7x\u00b3 + 12x\u00b2 + 3x\u00b3 - 21x\u00b2 + 36x + 2x\u00b2 - 14x + 24\nf(x) = x\u2074 - 4x\u00b3 - 7x\u00b2 + 22x + 24", "session_id": 15598, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "However this step is optional and not  necessary", "session_id": 15598, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "The final polynomial equation, in factored form, is f(x) = (x + 2)(x + 1)(x - 3)(x - 4).", "session_id": 15598, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "so is that the answer for number 12", "session_id": 15598, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "Yes", "session_id": 15598, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "ok", "session_id": 15598, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "next question ?", "session_id": 15598, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "Ok.", "session_id": 15598, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "f(x) = -x\u00b3 - x\u00b2 + 14x - 24\nThe signs of the coefficients are: -, -, +, -. \nThere are two sign changes: from -x\u00b2 to +14x, and from +14x to -24. \nThis means there are either 2 or 0 positive real zeros.", "session_id": 15598, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "Did you understand that?", "session_id": 15598, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "kinda", "session_id": 15598, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "ok.", "session_id": 15598, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "f(-x) (for negative real zeros):\nf(-x) = -(-x)\u00b3 - (-x)\u00b2 + 14(-x) - 24\nf(-x) = x\u00b3 - x\u00b2 - 14x - 24\nThe signs of the coefficients are: +, -, -, -. \nThere is one sign change: from x\u00b3 to -x\u00b2. \nThis means there is 1 negative real zero.", "session_id": 15598, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "ok", "session_id": 15598, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "Imaginary zeros:\nThe degree of the polynomial is 3, so there must be a total of 3 zeros (counting real and imaginary). \nSince we know there is 1 negative real zero, the remaining zeros (3 - 1 = 2) must be either positive real zeros or imaginary zeros. \nIf there are 2 positive real zeros: 2 positive real + 1 negative real = 3 real zeros. Therefore, there are 0 imaginary zeros. \nIf there are 0 positive real zeros: 0 positive real + 1 negative real = 1 real zero. Therefore, there must be 2 imaginary zeros to make up the total of 3. \nSo, there are either 0 or 2 imaginary zeros.", "session_id": 15598, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "ok", "session_id": 15598, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "So there are 2 or 0 positive real zeros, 1 negative real zero, and 2 or 0 imaginary solutions.", "session_id": 15598, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "is that the answer for number 13", "session_id": 15598, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "Yes", "session_id": 15598, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "Also I have to leave now, I hope this helped, bye!", "session_id": 15598, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "hello'", "session_id": 15715, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "Please help me understand this", "session_id": 15715, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "How would you move from point G to get to point G'?", "session_id": 15715, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "I do not know", "session_id": 15715, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "I cant see it very well, but it looks like you would move 7 to the right and 8 up", "session_id": 15715, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "Ok so now that I see that what is the awnser", "session_id": 15715, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "actually maybe 9 up,", "session_id": 15715, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "So it would be x+7 and then y+9", "session_id": 15715, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "Yes, I think so", "session_id": 15715, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "Ok", "session_id": 15715, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "Ok I got it I am trying to get this assignment Algebra 201 so I have a few more if you are not busy", "session_id": 15715, "sequence_id": 10, "annotations": [{"pii_type": "COURSE", "surrogate": "Algebra 201", "start": 47, "end": 58}]}
{"role": "volunteer", "content": "How many?", "session_id": 15715, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "I do not know", "session_id": 15715, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "You should really try these yourself first", "session_id": 15715, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "I have been but it is too difficult to understand and I usually have 1 on 1 support at school but today they were busy", "session_id": 15715, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "OK.  I have time for a few, depending on how long they take", "session_id": 15715, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "Ok", "session_id": 15715, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "I cannot see that image well enough", "session_id": 15715, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "give this a try.", "session_id": 15715, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "I got it good bye", "session_id": 15715, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "Hello! How may I help you?", "session_id": 15853, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "Hi", "session_id": 15853, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "What do you need help with?", "session_id": 15853, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "Alright, I see it on the board.", "session_id": 15853, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "What are you stuck with?", "session_id": 15853, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "I'm using a metapen", "session_id": 15853, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "Okay, what do you need help with?", "session_id": 15853, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "67", "session_id": 15853, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "I circled it", "session_id": 15853, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "I see, is there a particular thing you need help with on these", "session_id": 15853, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "Six", "session_id": 15853, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "Seven", "session_id": 15853, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "Is there a particular thing you need help with?", "session_id": 15853, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "no", "session_id": 15853, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "Then why did you ask for help?", "session_id": 15853, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "This", "session_id": 15853, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "Ohhhhh", "session_id": 15853, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "I see", "session_id": 15853, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "Let's start with the first question.", "session_id": 15853, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "No answer", "session_id": 15853, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "Good?", "session_id": 15853, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "Hello?", "session_id": 15853, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "Hi Sarah", "session_id": 15836, "sequence_id": 0, "annotations": [{"pii_type": "PERSON", "surrogate": "Sarah", "start": 3, "end": 8}]}
{"role": "student", "content": "hello", "session_id": 15836, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "How can I help", "session_id": 15836, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "i need help with math", "session_id": 15836, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "Ok", "session_id": 15836, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "Like on what", "session_id": 15836, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "What part", "session_id": 15836, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "box of whisker plot", "session_id": 15836, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "Ok", "session_id": 15836, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "So that's stats", "session_id": 15836, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "I have the expertise", "session_id": 15836, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "So lemme draw you an example", "session_id": 15836, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "ok", "session_id": 15836, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "Ok so you see that", "session_id": 15836, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "The top is the biggest unit of the range", "session_id": 15836, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "mhm", "session_id": 15836, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "The bottom is the lowest unit", "session_id": 15836, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "mhm", "session_id": 15836, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "The 50th percentile is the median since at the very center.", "session_id": 15836, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "mhm", "session_id": 15836, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "The 25th is the 25th best", "session_id": 15836, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "mhm", "session_id": 15836, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "And the 75th is the 75th bestest", "session_id": 15836, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "So ranges like 7 3 5 2 3 5 6 6 2455", "session_id": 15836, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "mhm", "session_id": 15836, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "These should be stacked onto ranked percentile.", "session_id": 15836, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "Then", "session_id": 15836, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "From top to bottom", "session_id": 15836, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "Whisker plot will be stockpiled", "session_id": 15836, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "mhm", "session_id": 15836, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "Into those ranges that need illustration or explanation", "session_id": 15836, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "Ok?", "session_id": 15836, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "okay", "session_id": 15836, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "Are we done here?", "session_id": 15836, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "yup", "session_id": 15836, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "Ok bye now.", "session_id": 15836, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "Hey Liam", "session_id": 16038, "sequence_id": 0, "annotations": [{"pii_type": "PERSON", "surrogate": "Liam", "start": 4, "end": 8}]}
{"role": "student", "content": "Hello ", "session_id": 16038, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "what is that you need help with?", "session_id": 16038, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "I'm having trouble understanding the formulas for finding volume of solids ", "session_id": 16038, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "I will see how I can hepl", "session_id": 16038, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "For my teacher gives an answer and not tells us how to do it ", "session_id": 16038, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "Understood. Can you give me a question? I can help you through finding a volume", "session_id": 16038, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "Is that a Durham?", "session_id": 16038, "sequence_id": 7, "annotations": [{"pii_type": "LOCATION", "surrogate": "Durham", "start": 10, "end": 16}]}
{"role": "student", "content": "I drew the shape on the white board ", "session_id": 16038, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "Height is 12 cm and the area of base is 32 cm squared", "session_id": 16038, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "working on it. I am trying to imagine it in 3 shape", "session_id": 16038, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "There i added a image of it ", "session_id": 16038, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "This shape is a pyramid (one apex, flat base).\n\nFor any pyramid:\nV =1/3 x (area\u00a0of\u00a0base) \u00d7 (height)\n\n\nGiven base area = 32 cm^2\nand height = 12 cm: \n\nV = 1/3 x 32 x 12 = 384/3 = 128 cm^ 3", "session_id": 16038, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "But it uses a hexagon base ", "session_id": 16038, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "Sarah wouldn't it be different ", "session_id": 16038, "sequence_id": 14, "annotations": [{"pii_type": "PERSON", "surrogate": "Sarah", "start": 0, "end": 5}]}
{"role": "volunteer", "content": "I see the image now. Clearly shows hexagon base. I am working on providing you an explanation", "session_id": 16038, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "Okay ", "session_id": 16038, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "Please be patient this is a long explanation", "session_id": 16038, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "Okay ", "session_id": 16038, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "The formula for calculating volume of Heganoal Pyramid is (root3)/2 x b^2 h", "session_id": 16038, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "So how would I calculate it ", "session_id": 16038, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "\u221a3/*?^2*12", "session_id": 16038, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "The general formula for a pyramid is always:\n\nV = 1/3 \u00d7 Abase \u00d7 h\n\nwhere  A base is the area of the hexagonal base, and \nh is the perpendicular height.\n\nStep 1: Given values\nBase area \n\nA base = 32 cm^2\nHeight h = 12 cm\n\nStep 2: Apply the formula\n\nV = 1/3 \u00d7 32 \u00d7 12 = 384/3 = 128 cm^3", "session_id": 16038, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "Answer 128 cm^3 irrespective of the shape of the bottom.", "session_id": 16038, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "For any pyramid:\n\nV = 1/3 x A base \u00d7 h\n\nA base = area of the base (could be a square, rectangle, hexagon, triangle, or even irregular polygon).\n\nh = perpendicular height from the apex to the base.\n\nThis works no matter what the base looks like.\n\n2. Why it\u2019s true (intuitive reasoning)\nThink of a prism first:\nA prism has volume:\n\nV prism = A base \u00d7 h\n\nA pyramid with the same base and height has exactly one-third of that volume.\n\nThis fact comes from both geometry and can be proven using calculus (integrating cross-sectional areas). The ancient Greeks (Athens) and later Archimedes\u2019s principle also formalized it.\n\n3. Application to different base shapes\n\nSquare Pyramid (like Giza)\nBase area: a^2\nVolume: V = 1/3 x a^2 x h\n\nRectangular Pyramid\nBase area: l \u00d7 w\nVolume: V = 1/3 x (l.w) x h \n\u200b\t\nHexagonal Pyramid\nBase area:  3(root 3)/2 x a^2 (for regular hexagon)\nVolume:\nV = 1/3 x (3(root 3)/2 x a^2) x h\n\nAny polygonal base Just calculate its area A base however needed, then apply the same rule:\n\nV = 1/3 x A base x h\n\n\u200b4. The \u201cone-third rule\u201d is universal: If you can find the area of the base,\nand you know the perpendicular height,\nthen the volume is always one-third of the corresponding prism.", "session_id": 16038, "sequence_id": 24, "annotations": [{"pii_type": "NRP", "surrogate": "Greeks", "start": 548, "end": 554}, {"pii_type": "LOCATION", "surrogate": "Athens", "start": 556, "end": 562}, {"pii_type": "PERSON", "surrogate": "Archimedes", "start": 574, "end": 584}, {"pii_type": "LOCATION", "surrogate": "Giza", "start": 680, "end": 684}]}
{"role": "volunteer", "content": "I have provided a very brief explanation", "session_id": 16038, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "So answer in this case is V = 1/3 \u00d7 32 \u00d7 12 = 384/3 = 128 cm^3", "session_id": 16038, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "Let me know if still have a doubt", "session_id": 16038, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "Hello!", "session_id": 16316, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "Hello!", "session_id": 16316, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "I was wondering if you could possibly help me find the range of the equation I put on the board?", "session_id": 16316, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "Got it! Can you define range for me?", "session_id": 16316, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "just making sure you know it", "session_id": 16316, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "i understand it on a graph but definitely not as clearly in a written function", "session_id": 16316, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "It's basically any number you can get from a certain equation", "session_id": 16316, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "oh okay", "session_id": 16316, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "let me give a quick example", "session_id": 16316, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "ohh okay", "session_id": 16316, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "that makes sense", "session_id": 16316, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "The square root of 3 is part of the range", "session_id": 16316, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "gotcha", "session_id": 16316, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "yup!", "session_id": 16316, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "So, there are things that can limit the range", "session_id": 16316, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "Is it possible to input an x value that will result in an answer of, for example, 5?", "session_id": 16316, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "-1?", "session_id": 16316, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "Nope, because when you square something, it becomes positive", "session_id": 16316, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "oh youre right", "session_id": 16316, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "okay hmm", "session_id": 16316, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "yes, it's impossible to get 5 from this equation, so it's not in the range", "session_id": 16316, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "okay gotcha", "session_id": 16316, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "Want to move on to defining the range?", "session_id": 16316, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "yes", "session_id": 16316, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "Okay, when checking range, look at square root signs first", "session_id": 16316, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "noted", "session_id": 16316, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "what happens when you input a negative number into a square root?", "session_id": 16316, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "it doesnt exist right?", "session_id": 16316, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "Yup, so the range must be equal to or greater than 0 ( h(x) >=  0)", "session_id": 16316, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "alright", "session_id": 16316, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "That's the lower limit, is there a higher limit?", "session_id": 16316, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "no?", "session_id": 16316, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "actually yes, because inside the square root, we're subtracting the x", "session_id": 16316, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "ohh okay", "session_id": 16316, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "we can't cancel out the negative because x is always positive (because of the exponent)", "session_id": 16316, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "that makes sense", "session_id": 16316, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "We want the biggest h(x) value, what x would we need to insert to find that", "session_id": 16316, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "wait im not sure", "session_id": 16316, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "That's okay!", "session_id": 16316, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "since we're subtracting, we want x to be as small as possible. Because negatives just cancel out, that means the smallest x we have is 0", "session_id": 16316, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "ohh okay i see", "session_id": 16316, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "so the limit is zero?", "session_id": 16316, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "zero*", "session_id": 16316, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "Nope! we're working with range, so we'd need to find what the equation equals when we insert 0", "session_id": 16316, "sequence_id": 43, "annotations": []}
{"role": "student", "content": "ah okay gotcha", "session_id": 16316, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "would it just be 2?", "session_id": 16316, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "Yup", "session_id": 16316, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "incredible", "session_id": 16316, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "That's our range", "session_id": 16316, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": ":)", "session_id": 16316, "sequence_id": 49, "annotations": []}
{"role": "student", "content": "okay that makes sense! thank you", "session_id": 16316, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "Any questions? Do you want help finding the domain?", "session_id": 16316, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "how would i go about graphing it?", "session_id": 16316, "sequence_id": 52, "annotations": []}
{"role": "student", "content": "i did find the domain, but thank you", "session_id": 16316, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "Because our range is greater than 0, we're only using the first two quadrants", "session_id": 16316, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "The higher limit is 2, so I'm going to mark that down", "session_id": 16316, "sequence_id": 55, "annotations": []}
{"role": "student", "content": "ahh that makes sense", "session_id": 16316, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "Next, we're going to want to mark the domain, what did you get for that?", "session_id": 16316, "sequence_id": 57, "annotations": []}
{"role": "student", "content": "-2 < or equal to x < or equal to 2", "session_id": 16316, "sequence_id": 58, "annotations": []}
{"role": "student", "content": "sorry idk how to do the sign", "session_id": 16316, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "Yup!", "session_id": 16316, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "I put a dotted line at those points, it means we can't go beyond that", "session_id": 16316, "sequence_id": 61, "annotations": []}
{"role": "student", "content": "alrighty that makes sense", "session_id": 16316, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "graphs typically curve around their limits", "session_id": 16316, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "I drew example", "session_id": 16316, "sequence_id": 64, "annotations": []}
{"role": "student", "content": "ahh okay that makes sense", "session_id": 16316, "sequence_id": 65, "annotations": []}
{"role": "student", "content": "so", "session_id": 16316, "sequence_id": 66, "annotations": []}
{"role": "student", "content": "would something like that work?", "session_id": 16316, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "Not quite!", "session_id": 16316, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "The function is positive, so it'd curve towards its upper limit, like an upside down bowl", "session_id": 16316, "sequence_id": 69, "annotations": []}
{"role": "student", "content": "ahh okay", "session_id": 16316, "sequence_id": 70, "annotations": []}
{"role": "student", "content": "is that better", "session_id": 16316, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "Yup! But the edges would be aiming down", "session_id": 16316, "sequence_id": 72, "annotations": []}
{"role": "student", "content": "ahh okay", "session_id": 16316, "sequence_id": 73, "annotations": []}
{"role": "student", "content": "thank you!", "session_id": 16316, "sequence_id": 74, "annotations": []}
{"role": "volunteer", "content": "This is actually a half-circle function!", "session_id": 16316, "sequence_id": 75, "annotations": []}
{"role": "student", "content": "parabola?", "session_id": 16316, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "I think parabolas need to have infinite domain", "session_id": 16316, "sequence_id": 77, "annotations": []}
{"role": "student", "content": "ahh i see", "session_id": 16316, "sequence_id": 78, "annotations": []}
{"role": "student", "content": "thank you!", "session_id": 16316, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "Of course!", "session_id": 16316, "sequence_id": 80, "annotations": []}
{"role": "volunteer", "content": "Hope you have a good day :)", "session_id": 16316, "sequence_id": 81, "annotations": []}
{"role": "student", "content": "thank you! you too", "session_id": 16316, "sequence_id": 82, "annotations": []}
{"role": "volunteer", "content": "hello", "session_id": 16889, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "Hi! I need help with this", "session_id": 16889, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "which part are you having trouble with?", "session_id": 16889, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "The fraction", "session_id": 16889, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "we need x to be by itself right?", "session_id": 16889, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "mm", "session_id": 16889, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "to find a solution we need to make the fraction equal to something", "session_id": 16889, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "subtract 1", "session_id": 16889, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "to all sides?", "session_id": 16889, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "not quite", "session_id": 16889, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "since we have a fraction we need to get rid of the fraction", "session_id": 16889, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "what do you think the first step will be?", "session_id": 16889, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "divide?", "session_id": 16889, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "well the fraction is being divided by 3, which means we have to....", "session_id": 16889, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "uhh idk", "session_id": 16889, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "multiply?", "session_id": 16889, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "by 3", "session_id": 16889, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "yes, we multiple each side by 3", "session_id": 16889, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "done", "session_id": 16889, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "since the fraction is being multipled by 3, all you need is to cancel the 3, so it would be 2x + 1", "session_id": 16889, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "not 6x + 3", "session_id": 16889, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "done", "session_id": 16889, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "you fogot to multiply the 4 by 12", "session_id": 16889, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "hello?", "session_id": 16889, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "yes im here", "session_id": 16889, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "i didnt know i had to multiply by 12 where is the 12 from", "session_id": 16889, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "my mistake you have to multiply the 4 by 3 which will give you 12", "session_id": 16889, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "remember when you have to multiply the initial equation to get rid of the fraction?", "session_id": 16889, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "so the equation should be 6<2x+1<12", "session_id": 16889, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "oh right", "session_id": 16889, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "yep so its 6", "session_id": 16889, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "so it should be 11/2", "session_id": 16889, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "10,6", "session_id": 16889, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "oh nvm", "session_id": 16889, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "5.5", "session_id": 16889, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 16889, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "the interval is 5/2, 11/2", "session_id": 16889, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "done?", "session_id": 16889, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "yes", "session_id": 16889, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "5/2=10 theres no decimal for that", "session_id": 16889, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "it's 2.5", "session_id": 16889, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "nvm ur right", "session_id": 16889, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "do need any more help?", "session_id": 16889, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "yeah im gonna put it in rn and see if its correct", "session_id": 16889, "sequence_id": 43, "annotations": []}
{"role": "student", "content": "so its [5/2,11/2)", "session_id": 16889, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 16889, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "is it right?", "session_id": 16889, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "I ave one more", "session_id": 16889, "sequence_id": 47, "annotations": []}
{"role": "student", "content": "here it is", "session_id": 16889, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "do both of the equations mean the same thing", "session_id": 16889, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "???", "session_id": 16889, "sequence_id": 50, "annotations": []}
{"role": "student", "content": "no", "session_id": 16889, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "bc you have to distribute for the one on the right", "session_id": 16889, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "o okay", "session_id": 16889, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "which one do you wanna work with first?", "session_id": 16889, "sequence_id": 54, "annotations": []}
{"role": "student", "content": "right", "session_id": 16889, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "okay", "session_id": 16889, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "can you distribute it?", "session_id": 16889, "sequence_id": 57, "annotations": []}
{"role": "student", "content": "i did", "session_id": 16889, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "don't forget that the sign in the answer sould be less than or equals to", "session_id": 16889, "sequence_id": 59, "annotations": []}
{"role": "student", "content": "-7,3", "session_id": 16889, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "I got p is less than or equal to both -7 and positive 3", "session_id": 16889, "sequence_id": 61, "annotations": []}
{"role": "student", "content": "said its wrong", "session_id": 16889, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "for the equation on the left, you have to remember that when you divide by a negative you have to flip the sign", "session_id": 16889, "sequence_id": 63, "annotations": []}
{"role": "student", "content": "yeah but i put it in as [-7,3]", "session_id": 16889, "sequence_id": 64, "annotations": []}
{"role": "student", "content": "i know the flip part", "session_id": 16889, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "so if the initial sign is greater than or equals to, it should be less than or equals to once you divide", "session_id": 16889, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "the answer is ( negative infinity, 3)", "session_id": 16889, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "or p <", "session_id": 16889, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "or p<3", "session_id": 16889, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "Hello! How are you doing?", "session_id": 18907, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "another tutor had helped me do the top two and good", "session_id": 18907, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "Great! Do you have an idea on how to start solving number 18?", "session_id": 18907, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "is it 3.824*10^3?", "session_id": 18907, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "Hmm, not quite. Can you guide me through how you got that answer?", "session_id": 18907, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "i had thought it out, but it it hard", "session_id": 18907, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "You got this!", "session_id": 18907, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "Try working it out on the whiteboard.", "session_id": 18907, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "i don't know how", "session_id": 18907, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "help me, please?", "session_id": 18907, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "Yes for sure.", "session_id": 18907, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "How did you do number 17 with the other tutor?", "session_id": 18907, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "Maybe that might give us an idea", "session_id": 18907, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "Hello Sam, you still there>", "session_id": 18907, "sequence_id": 13, "annotations": [{"pii_type": "PERSON", "surrogate": "Sam", "start": 6, "end": 9}]}
{"role": "student", "content": "i was letting a dog out, so he told me what it was", "session_id": 18907, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "Hmm okay", "session_id": 18907, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "Do you know the basic rule of writing in scientific notation and why it's written that way?", "session_id": 18907, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "something with 0's", "session_id": 18907, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "You're on the right track with 3.824*10^3", "session_id": 18907, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "Yes! If a number is between 1 and 10, then you won't have to increase 10 by anything", "session_id": 18907, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "Becuase anything to the power of 0 is 1 right? So in this case, 3.824*10^0 would just be 3.824", "session_id": 18907, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "To write a number in scientific notation, it has to be between 1 and 10", "session_id": 18907, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "So if a number is less 1 or greater than 10, you would have to move the decimal place to make it between those 2 numbers", "session_id": 18907, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "If we go to the right, then the exponent is negative. But if we go to the left, the exponent is positive!", "session_id": 18907, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "so 10^0", "session_id": 18907, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "Do you want to work on a problem together?", "session_id": 18907, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "and 3.824", "session_id": 18907, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "Yes exactly! Because 3.824 is already between 1 and 10", "session_id": 18907, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "Let's try one together!", "session_id": 18907, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "oki", "session_id": 18907, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": ".00456", "session_id": 18907, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "What do you think the first step would be?", "session_id": 18907, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "could we do this instead?", "session_id": 18907, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "Okay, that fine! Which one do you want to work on?", "session_id": 18907, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "19", "session_id": 18907, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "1.7 is part of it right?", "session_id": 18907, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "Yes! Now what would be the exponent on the 10?", "session_id": 18907, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "Think of the direction that you moved the decimed to get 1.7", "session_id": 18907, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "1eft", "session_id": 18907, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "left", "session_id": 18907, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "Good, good.", "session_id": 18907, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "10^4", "session_id": 18907, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "Hmm, you're very close!", "session_id": 18907, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "10^-4?", "session_id": 18907, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "Yes! Good job, Sam!", "session_id": 18907, "sequence_id": 44, "annotations": [{"pii_type": "PERSON", "surrogate": "Sam", "start": 15, "end": 18}]}
{"role": "volunteer", "content": "Do you understand the difference?", "session_id": 18907, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "Or why 10^4 was not the correct?", "session_id": 18907, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "yes, it was at first less that whole", "session_id": 18907, "sequence_id": 47, "annotations": []}
{"role": "student", "content": "in the negatives", "session_id": 18907, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "in a way", "session_id": 18907, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "Hmm, that an intersting way to see it.", "session_id": 18907, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "Think of it more like it was 4 decimal places off from being a 1", "session_id": 18907, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "ohh,oki", "session_id": 18907, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "Great!", "session_id": 18907, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "How about you try number 20?", "session_id": 18907, "sequence_id": 54, "annotations": []}
{"role": "student", "content": "is 31.2= 0.312*10^3", "session_id": 18907, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "Hmm, I like how you used what you learned! However, the number has to be between 1 and 10", "session_id": 18907, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "Think of it this way", "session_id": 18907, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "(Number between 1 and 10) * 10^exponent (how many places the decimal was moved)", "session_id": 18907, "sequence_id": 58, "annotations": []}
{"role": "student", "content": "3.12*10^3", "session_id": 18907, "sequence_id": 59, "annotations": []}
{"role": "student", "content": "10^2", "session_id": 18907, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "Can you show me your work on the whiteboard?", "session_id": 18907, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "Maybe that will help.", "session_id": 18907, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "You are very close, though, Sam.", "session_id": 18907, "sequence_id": 63, "annotations": [{"pii_type": "PERSON", "surrogate": "Sam", "start": 28, "end": 31}]}
{"role": "student", "content": "what am i doing wrong", "session_id": 18907, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "I think you are miscalculating how many times you moved the decimal", "session_id": 18907, "sequence_id": 65, "annotations": []}
{"role": "student", "content": "i was on twenty", "session_id": 18907, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "Okay from the 31.2 how what direction and how many times should I move to make it between 1 and 10?", "session_id": 18907, "sequence_id": 67, "annotations": []}
{"role": "student", "content": "10^2", "session_id": 18907, "sequence_id": 68, "annotations": []}
{"role": "student", "content": "3.12", "session_id": 18907, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "You see, if I move left 2 times, I would get a number less than 1", "session_id": 18907, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "the exponent or the number the 10 is raised to, means how many places the decimal was moved, in order to make the number between 1 and 10", "session_id": 18907, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "Does that make sense?", "session_id": 18907, "sequence_id": 72, "annotations": []}
{"role": "student", "content": "i neeed to go", "session_id": 18907, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "Okay, no problem! Hope I was helpful! Any last minute questions?", "session_id": 18907, "sequence_id": 74, "annotations": []}
{"role": "volunteer", "content": "Hi.  How are you?", "session_id": 18954, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "Hello! I need help wit this", "session_id": 18954, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "Ok.  Let me read it please.", "session_id": 18954, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "Ok.  So the first class boundary should start at 29.5.", "session_id": 18954, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "Each boundary should be 6 wide.", "session_id": 18954, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "Do you see why?", "session_id": 18954, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "we do 29.5-59.5", "session_id": 18954, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "then divide by 5?", "session_id": 18954, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "Exactly right!", "session_id": 18954, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "yepp", "session_id": 18954, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "so we add 6", "session_id": 18954, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "so 29.5-35.5", "session_id": 18954, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "So.  Label your first boundary in your work area.  Yes.", "session_id": 18954, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "After you label each we will count.", "session_id": 18954, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "kk", "session_id": 18954, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "Great!", "session_id": 18954, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "Now go through and count how many in each class.", "session_id": 18954, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "7", "session_id": 18954, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "zero for the second one?", "session_id": 18954, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "good", "session_id": 18954, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "thats shocking", "session_id": 18954, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "i  feel like i did sum wrong lol", "session_id": 18954, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "bc its never zero", "session_id": 18954, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "Let me review.", "session_id": 18954, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "kk", "session_id": 18954, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "I don't see anything in that class.", "session_id": 18954, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "ok", "session_id": 18954, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "im gonna put the numbers in then rn", "session_id": 18954, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "good", "session_id": 18954, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "is this correct?", "session_id": 18954, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "Looks good to me.", "session_id": 18954, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "ok next one", "session_id": 18954, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "Ok", "session_id": 18954, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "You did great on the last one. \"Sarah and Repeat!\"", "session_id": 18954, "sequence_id": 33, "annotations": [{"pii_type": "PERSON", "surrogate": "Sarah", "start": 32, "end": 37}]}
{"role": "student", "content": "thanks", "session_id": 18954, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "so this one you just add 5 to", "session_id": 18954, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "Right", "session_id": 18954, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "So end the first one at 21.5", "session_id": 18954, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "mhm", "session_id": 18954, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "Count and fill!", "session_id": 18954, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "That's it!", "session_id": 18954, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "ok can u look over my numbers", "session_id": 18954, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "to make sure they're right", "session_id": 18954, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 18954, "sequence_id": 43, "annotations": []}
{"role": "student", "content": "heres whati plugged in", "session_id": 18954, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "ill put it under", "session_id": 18954, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "I will take a minute to check your counts as best as I can.", "session_id": 18954, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "ok", "session_id": 18954, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "Is the count for 31.5-36.5 ok?", "session_id": 18954, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "i had 2", "session_id": 18954, "sequence_id": 49, "annotations": []}
{"role": "student", "content": "2 for 26 and 31", "session_id": 18954, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "I only see on in 31.5-36.5", "session_id": 18954, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "huh", "session_id": 18954, "sequence_id": 52, "annotations": []}
{"role": "student", "content": "no i have in pink and in blue written 2", "session_id": 18954, "sequence_id": 53, "annotations": []}
{"role": "student", "content": "do you see it in the box", "session_id": 18954, "sequence_id": 54, "annotations": []}
{"role": "student", "content": "26.5-31.5:2", "session_id": 18954, "sequence_id": 55, "annotations": []}
{"role": "student", "content": "31.5-36.5:2", "session_id": 18954, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "Yes.  But what are the two values?", "session_id": 18954, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "I see it now.", "session_id": 18954, "sequence_id": 58, "annotations": []}
{"role": "student", "content": "35 & 34", "session_id": 18954, "sequence_id": 59, "annotations": []}
{"role": "student", "content": "i circled them based on color", "session_id": 18954, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "Yes. You did great. I think all is well.", "session_id": 18954, "sequence_id": 61, "annotations": []}
{"role": "student", "content": "ok gonna submit it", "session_id": 18954, "sequence_id": 62, "annotations": []}
{"role": "student", "content": "yep its right!", "session_id": 18954, "sequence_id": 63, "annotations": []}
{"role": "student", "content": "Do you still have time?", "session_id": 18954, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "How many more do you have?", "session_id": 18954, "sequence_id": 65, "annotations": []}
{"role": "student", "content": "its new equations", "session_id": 18954, "sequence_id": 66, "annotations": []}
{"role": "student", "content": "like a new section", "session_id": 18954, "sequence_id": 67, "annotations": []}
{"role": "student", "content": "since i finished this", "session_id": 18954, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "Ok.  I need to finish this by noon, EST.", "session_id": 18954, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "So.  I have about 30 minutes.", "session_id": 18954, "sequence_id": 70, "annotations": []}
{"role": "student", "content": "ok I'm in Austin", "session_id": 18954, "sequence_id": 71, "annotations": [{"pii_type": "LOCATION", "surrogate": "Austin", "start": 10, "end": 16}]}
{"role": "student", "content": "Ok", "session_id": 18954, "sequence_id": 72, "annotations": []}
{"role": "student", "content": "would i multiply?", "session_id": 18954, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "It went away.", "session_id": 18954, "sequence_id": 74, "annotations": []}
{"role": "student", "content": "there", "session_id": 18954, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "Ok.  You would multiply by 0.768 in this case.", "session_id": 18954, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "That one is pretty straight forward, right?", "session_id": 18954, "sequence_id": 77, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 18954, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "What did you get for an answer?", "session_id": 18954, "sequence_id": 79, "annotations": []}
{"role": "student", "content": "Gonna do it rn", "session_id": 18954, "sequence_id": 80, "annotations": []}
{"role": "student", "content": "Is tha correct?", "session_id": 18954, "sequence_id": 81, "annotations": []}
{"role": "volunteer", "content": "32.64", "session_id": 18954, "sequence_id": 82, "annotations": []}
{"role": "student", "content": "it didnt come out as a decimal", "session_id": 18954, "sequence_id": 83, "annotations": []}
{"role": "volunteer", "content": "You need to multiply by 0.768.", "session_id": 18954, "sequence_id": 84, "annotations": []}
{"role": "student", "content": "oh", "session_id": 18954, "sequence_id": 85, "annotations": []}
{"role": "volunteer", "content": "To do these problems it's best to convert all percents to decimal..", "session_id": 18954, "sequence_id": 86, "annotations": []}
{"role": "student", "content": "and then the next one i do 0.8987 times 215", "session_id": 18954, "sequence_id": 87, "annotations": []}
{"role": "volunteer", "content": "No.", "session_id": 18954, "sequence_id": 88, "annotations": []}
{"role": "student", "content": "00.", "session_id": 18954, "sequence_id": 89, "annotations": []}
{"role": "volunteer", "content": "Let me help you with this.", "session_id": 18954, "sequence_id": 90, "annotations": []}
{"role": "student", "content": "ok", "session_id": 18954, "sequence_id": 91, "annotations": []}
{"role": "volunteer", "content": "I am going to write the equation on the board.  Then you can ask me about it.  OK?", "session_id": 18954, "sequence_id": 92, "annotations": []}
{"role": "student", "content": "Ok", "session_id": 18954, "sequence_id": 93, "annotations": []}
{"role": "volunteer", "content": "So.  X is our unknown quantity.", "session_id": 18954, "sequence_id": 94, "annotations": []}
{"role": "student", "content": "Ok", "session_id": 18954, "sequence_id": 95, "annotations": []}
{"role": "volunteer", "content": "I changed 215 percent into a decimal by dividing by 100.", "session_id": 18954, "sequence_id": 96, "annotations": []}
{"role": "student", "content": "can you write that out", "session_id": 18954, "sequence_id": 97, "annotations": []}
{"role": "student", "content": "as well i'm gonna screenshot this and save it", "session_id": 18954, "sequence_id": 98, "annotations": []}
{"role": "student", "content": "for notes", "session_id": 18954, "sequence_id": 99, "annotations": []}
{"role": "volunteer", "content": "Ok", "session_id": 18954, "sequence_id": 100, "annotations": []}
{"role": "student", "content": "thanks", "session_id": 18954, "sequence_id": 101, "annotations": []}
{"role": "volunteer", "content": "Before I do that, the final step will be to divide both sides by 2.15 to find x.  I will demonstrate.", "session_id": 18954, "sequence_id": 102, "annotations": []}
{"role": "student", "content": "Ok", "session_id": 18954, "sequence_id": 103, "annotations": []}
{"role": "volunteer", "content": "Before we calculate please ask any questions you have.", "session_id": 18954, "sequence_id": 104, "annotations": []}
{"role": "student", "content": "No", "session_id": 18954, "sequence_id": 105, "annotations": []}
{"role": "volunteer", "content": "So.  If you have no questions, let's divide to get our answer.", "session_id": 18954, "sequence_id": 106, "annotations": []}
{"role": "student", "content": "41.8", "session_id": 18954, "sequence_id": 107, "annotations": []}
{"role": "volunteer", "content": "Yup!!", "session_id": 18954, "sequence_id": 108, "annotations": []}
{"role": "volunteer", "content": "It's not a percent!", "session_id": 18954, "sequence_id": 109, "annotations": []}
{"role": "student", "content": "Ohhhh", "session_id": 18954, "sequence_id": 110, "annotations": []}
{"role": "student", "content": "just decimal?", "session_id": 18954, "sequence_id": 111, "annotations": []}
{"role": "volunteer", "content": "Right", "session_id": 18954, "sequence_id": 112, "annotations": []}
{"role": "student", "content": "for both?", "session_id": 18954, "sequence_id": 113, "annotations": []}
{"role": "volunteer", "content": "Yes.  For both.", "session_id": 18954, "sequence_id": 114, "annotations": []}
{"role": "volunteer", "content": "Here are a few rules to help you with these problems.", "session_id": 18954, "sequence_id": 115, "annotations": []}
{"role": "student", "content": "Ok", "session_id": 18954, "sequence_id": 116, "annotations": []}
{"role": "student", "content": "its asking the number not percentage so don't add it?", "session_id": 18954, "sequence_id": 117, "annotations": []}
{"role": "volunteer", "content": "It's asking for numbers, not percents in both problems.", "session_id": 18954, "sequence_id": 118, "annotations": []}
{"role": "volunteer", "content": "There is no addition involved.", "session_id": 18954, "sequence_id": 119, "annotations": []}
{"role": "student", "content": "Yep", "session_id": 18954, "sequence_id": 120, "annotations": []}
{"role": "student", "content": "I'll try the next one on my own", "session_id": 18954, "sequence_id": 121, "annotations": []}
{"role": "volunteer", "content": "Wait please.", "session_id": 18954, "sequence_id": 122, "annotations": []}
{"role": "volunteer", "content": "I want to let you know a few things to help you.", "session_id": 18954, "sequence_id": 123, "annotations": []}
{"role": "student", "content": "Ok", "session_id": 18954, "sequence_id": 124, "annotations": []}
{"role": "volunteer", "content": "1.  All percents are converted to decimals by dividing the percent by 100.", "session_id": 18954, "sequence_id": 125, "annotations": []}
{"role": "volunteer", "content": "2.  When you see the word \"of\" that means to multiply.", "session_id": 18954, "sequence_id": 126, "annotations": []}
{"role": "volunteer", "content": "3.  When you see the word \"is\" that means use an equal sign.", "session_id": 18954, "sequence_id": 127, "annotations": []}
{"role": "volunteer", "content": "4.  When you have an unknown, call it \"x.\"", "session_id": 18954, "sequence_id": 128, "annotations": []}
{"role": "volunteer", "content": "Using these rules, you can solve any problem.", "session_id": 18954, "sequence_id": 129, "annotations": []}
{"role": "student", "content": "Ok can you add that on here too", "session_id": 18954, "sequence_id": 130, "annotations": []}
{"role": "student", "content": "it says of but we divided tho", "session_id": 18954, "sequence_id": 131, "annotations": []}
{"role": "volunteer", "content": "It's in the session history.  You can look at what I've typed anytime.", "session_id": 18954, "sequence_id": 132, "annotations": []}
{"role": "student", "content": "we didnt multiply", "session_id": 18954, "sequence_id": 133, "annotations": []}
{"role": "student", "content": "for 89.87", "session_id": 18954, "sequence_id": 134, "annotations": []}
{"role": "student", "content": "ohh ur talking about 215%", "session_id": 18954, "sequence_id": 135, "annotations": []}
{"role": "volunteer", "content": "When we translated the problem from words to algebra, we did multiply 2.15 times x.", "session_id": 18954, "sequence_id": 136, "annotations": []}
{"role": "volunteer", "content": "I see you are labeling.  That is good.", "session_id": 18954, "sequence_id": 137, "annotations": []}
{"role": "student", "content": "ok", "session_id": 18954, "sequence_id": 138, "annotations": []}
{"role": "volunteer", "content": "You could say \"What Number\" is the same as x.", "session_id": 18954, "sequence_id": 139, "annotations": []}
{"role": "volunteer", "content": "Or \"what\" is the same as x.", "session_id": 18954, "sequence_id": 140, "annotations": []}
{"role": "volunteer", "content": "very good!", "session_id": 18954, "sequence_id": 141, "annotations": []}
{"role": "student", "content": "thank you!", "session_id": 18954, "sequence_id": 142, "annotations": []}
{"role": "volunteer", "content": ":)", "session_id": 18954, "sequence_id": 143, "annotations": []}
{"role": "volunteer", "content": "You are very organized - I like that!!", "session_id": 18954, "sequence_id": 144, "annotations": []}
{"role": "student", "content": "Thank you! :)", "session_id": 18954, "sequence_id": 145, "annotations": []}
{"role": "student", "content": "I'm going to take a break since I haven't ate breakfast I know you don't have much time left so we can end the session", "session_id": 18954, "sequence_id": 146, "annotations": []}
{"role": "student", "content": "Thank you for your help! :)", "session_id": 18954, "sequence_id": 147, "annotations": []}
{"role": "volunteer", "content": "You are very deserving.  Bye.", "session_id": 18954, "sequence_id": 148, "annotations": []}
{"role": "student", "content": "Hello", "session_id": 19762, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "hey Jamie", "session_id": 19762, "sequence_id": 1, "annotations": [{"pii_type": "PERSON", "surrogate": "Jamie", "start": 4, "end": 9}]}
{"role": "volunteer", "content": "so for the question you have up, do you have any gyess on where to start?", "session_id": 19762, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "Ln is natural log right?", "session_id": 19762, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "We have to cross it out with e", "session_id": 19762, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "yep thats right", "session_id": 19762, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "ok going well so far", "session_id": 19762, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "I get how to do it, but why are we crossing ln with e?", "session_id": 19762, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "What\u2019s e ? And is there like a law log of e to power of x equals lnx", "session_id": 19762, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "they're opposite functions. kinda the same way that square is the opposite of squareroot", "session_id": 19762, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "Okay", "session_id": 19762, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "e is a number, but yep theres proofs somewhere that shows that they're inverse", "session_id": 19762, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "any more questions you want me to look at?", "session_id": 19762, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "Nope", "session_id": 19762, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "Oh actually yes", "session_id": 19762, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "If you are available", "session_id": 19762, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "yea go for it", "session_id": 19762, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "Okay you are", "session_id": 19762, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "*See it", "session_id": 19762, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "ok i see it", "session_id": 19762, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "i'm rusty on this, so gimme a second to work it out", "session_id": 19762, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "Okayc", "session_id": 19762, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "ok, where would you start?", "session_id": 19762, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "Maybe subtracting 3 by both sides?", "session_id": 19762, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "yup thats how i started", "session_id": 19762, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "Then multiply by -2?", "session_id": 19762, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "To get rid of the fraction", "session_id": 19762, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "lemme ask you this though, what type of answer is your book looking for? a range or the specific x value?", "session_id": 19762, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "and yep thats right. do you remember what using negatives does to inequalities?", "session_id": 19762, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "The answer on my book is [-2,10)", "session_id": 19762, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "So it\u2019s looking for an answer", "session_id": 19762, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "Yes switches the sign", "session_id": 19762, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "Jamie, you dont even need help lol", "session_id": 19762, "sequence_id": 32, "annotations": [{"pii_type": "PERSON", "surrogate": "Jamie", "start": 0, "end": 5}]}
{"role": "volunteer", "content": "thats the right steps! but just to make sure, do you know when to use [ vs (", "session_id": 19762, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 19762, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "( means it goes beyond not stricted", "session_id": 19762, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "] I think this one is stricted", "session_id": 19762, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "stricted?", "session_id": 19762, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "Like it can\u2019t bypass the number", "session_id": 19762, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "It\u2019s the limit", "session_id": 19762, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "[-2,10) can\u2019t go more than -2 in this case", "session_id": 19762, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "Can\u2019t go more to the negative side", "session_id": 19762, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "\u2026", "session_id": 19762, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "okay, what about for 10?", "session_id": 19762, "sequence_id": 43, "annotations": []}
{"role": "student", "content": "It can go greater than 10", "session_id": 19762, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "To infinity", "session_id": 19762, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "Right?", "session_id": 19762, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "sorry, but not quite. i am curious what you're thinking of though", "session_id": 19762, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "[ means it includes the number", "session_id": 19762, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "Oh okay", "session_id": 19762, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "( means the number isnt included, but it can get infinitely close. thats probaly where you got it", "session_id": 19762, "sequence_id": 50, "annotations": []}
{"role": "student", "content": "Mmm makes sense", "session_id": 19762, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "[ included ) not included", "session_id": 19762, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "exactly", "session_id": 19762, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "sorry if im over explaining, but basically a >= converts to a [", "session_id": 19762, "sequence_id": 54, "annotations": []}
{"role": "student", "content": "Please do over explain it", "session_id": 19762, "sequence_id": 55, "annotations": []}
{"role": "student", "content": "Greater than a", "session_id": 19762, "sequence_id": 56, "annotations": []}
{"role": "student", "content": "Equals [", "session_id": 19762, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "oh wait lemme write it", "session_id": 19762, "sequence_id": 58, "annotations": []}
{"role": "student", "content": "Okay!", "session_id": 19762, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "it would still be a bracket, but its probably facing the other way ]", "session_id": 19762, "sequence_id": 60, "annotations": []}
{"role": "student", "content": "Ok", "session_id": 19762, "sequence_id": 61, "annotations": []}
{"role": "student", "content": "<,> would be (,)", "session_id": 19762, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "yep you get it", "session_id": 19762, "sequence_id": 63, "annotations": []}
{"role": "student", "content": "Wow thanks I do get it", "session_id": 19762, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "glad you do", "session_id": 19762, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "i still have time, any other questions?", "session_id": 19762, "sequence_id": 66, "annotations": []}
{"role": "student", "content": "Yay yes I will provide you with a last one", "session_id": 19762, "sequence_id": 67, "annotations": []}
{"role": "student", "content": "It\u2019s pretty tricky to me", "session_id": 19762, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "lets see it! hopefully i can explain it", "session_id": 19762, "sequence_id": 69, "annotations": []}
{"role": "student", "content": "That\u2019s it", "session_id": 19762, "sequence_id": 70, "annotations": []}
{"role": "student", "content": "With addition logs you multiply and with subtraction you divide", "session_id": 19762, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "ok, what do you do with coefficients?", "session_id": 19762, "sequence_id": 72, "annotations": []}
{"role": "student", "content": "They are turned to the power", "session_id": 19762, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "you got this", "session_id": 19762, "sequence_id": 74, "annotations": []}
{"role": "volunteer", "content": "what would you do first?", "session_id": 19762, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "good start, what about log(24)", "session_id": 19762, "sequence_id": 76, "annotations": []}
{"role": "student", "content": "Is this about right?", "session_id": 19762, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "the right part of the screen is getting cut off, but its looking right so far", "session_id": 19762, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "wait howd you get down to 60?", "session_id": 19762, "sequence_id": 79, "annotations": []}
{"role": "student", "content": "160", "session_id": 19762, "sequence_id": 80, "annotations": []}
{"role": "volunteer", "content": "is that 32.6?", "session_id": 19762, "sequence_id": 81, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 19762, "sequence_id": 82, "annotations": []}
{"role": "student", "content": "I have to use the calculator for this", "session_id": 19762, "sequence_id": 83, "annotations": []}
{"role": "volunteer", "content": "very close, and your work was good, but i think there was some rounding", "session_id": 19762, "sequence_id": 84, "annotations": []}
{"role": "student", "content": "Mm", "session_id": 19762, "sequence_id": 85, "annotations": []}
{"role": "volunteer", "content": "so my advice, would be to leave the values under the sqrt until you get to the end", "session_id": 19762, "sequence_id": 86, "annotations": []}
{"role": "student", "content": "Yes there was", "session_id": 19762, "sequence_id": 87, "annotations": []}
{"role": "student", "content": "Oh okay", "session_id": 19762, "sequence_id": 88, "annotations": []}
{"role": "student", "content": "You are correct", "session_id": 19762, "sequence_id": 89, "annotations": []}
{"role": "student", "content": "It\u2019s 5", "session_id": 19762, "sequence_id": 90, "annotations": []}
{"role": "volunteer", "content": "thats the same answer i got", "session_id": 19762, "sequence_id": 91, "annotations": []}
{"role": "volunteer", "content": "good work!", "session_id": 19762, "sequence_id": 92, "annotations": []}
{"role": "student", "content": "Yay", "session_id": 19762, "sequence_id": 93, "annotations": []}
{"role": "student", "content": "Thanks", "session_id": 19762, "sequence_id": 94, "annotations": []}
{"role": "volunteer", "content": "can i give you tips that may/may not work?", "session_id": 19762, "sequence_id": 95, "annotations": []}
{"role": "student", "content": "Yes please", "session_id": 19762, "sequence_id": 96, "annotations": []}
{"role": "volunteer", "content": "so when i did it, i included the 24 in the log with the other values, and simplified it to 2sqrt(6)", "session_id": 19762, "sequence_id": 97, "annotations": []}
{"role": "student", "content": "You mean you divided first then multiplied ?", "session_id": 19762, "sequence_id": 98, "annotations": []}
{"role": "volunteer", "content": "ill draw it out", "session_id": 19762, "sequence_id": 99, "annotations": []}
{"role": "student", "content": "Ok", "session_id": 19762, "sequence_id": 100, "annotations": []}
{"role": "student", "content": "Ohh", "session_id": 19762, "sequence_id": 101, "annotations": []}
{"role": "student", "content": "Makes sense", "session_id": 19762, "sequence_id": 102, "annotations": []}
{"role": "volunteer", "content": "do you get what i did? Jamie if you guys learned that yet", "session_id": 19762, "sequence_id": 103, "annotations": [{"pii_type": "PERSON", "surrogate": "Jamie", "start": 23, "end": 28}]}
{"role": "student", "content": "Yea I\u2019m in calculus I just started and our teacher gave us a fresh start on precal to get us ready for calc", "session_id": 19762, "sequence_id": 104, "annotations": []}
{"role": "volunteer", "content": "oh i was just making sure. its been a veryy long time since i was in calc", "session_id": 19762, "sequence_id": 105, "annotations": []}
{"role": "student", "content": "Is it hard overall as a class, if u remember ?", "session_id": 19762, "sequence_id": 106, "annotations": []}
{"role": "volunteer", "content": "calc? honestly i remember calc 2 being awful, but i dont remember much about calc 1", "session_id": 19762, "sequence_id": 107, "annotations": []}
{"role": "student", "content": "Okay thanks for the info", "session_id": 19762, "sequence_id": 108, "annotations": []}
{"role": "volunteer", "content": "of course, hope it helped!", "session_id": 19762, "sequence_id": 109, "annotations": []}
{"role": "volunteer", "content": "any other questions to look over?", "session_id": 19762, "sequence_id": 110, "annotations": []}
{"role": "student", "content": "If your available ..", "session_id": 19762, "sequence_id": 111, "annotations": []}
{"role": "volunteer", "content": "lol go for it", "session_id": 19762, "sequence_id": 112, "annotations": []}
{"role": "student", "content": ":)", "session_id": 19762, "sequence_id": 113, "annotations": []}
{"role": "volunteer", "content": "kinda similar to the first problem we went over", "session_id": 19762, "sequence_id": 114, "annotations": []}
{"role": "volunteer", "content": "where would you start?", "session_id": 19762, "sequence_id": 115, "annotations": []}
{"role": "student", "content": "Distribute ln", "session_id": 19762, "sequence_id": 116, "annotations": []}
{"role": "volunteer", "content": "as in, break the x-2 up?", "session_id": 19762, "sequence_id": 117, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 19762, "sequence_id": 118, "annotations": []}
{"role": "student", "content": "Into ln x minus ln2", "session_id": 19762, "sequence_id": 119, "annotations": []}
{"role": "student", "content": "Wait for natural logs (ln) when subtract you divide, same as log rules?", "session_id": 19762, "sequence_id": 120, "annotations": []}
{"role": "student", "content": "Can it be written like this?", "session_id": 19762, "sequence_id": 121, "annotations": []}
{"role": "volunteer", "content": "it does work, it might make it harder. im kinda curious where you'll go next though", "session_id": 19762, "sequence_id": 122, "annotations": []}
{"role": "volunteer", "content": "oh and yep ln has the same rules as log", "session_id": 19762, "sequence_id": 123, "annotations": []}
{"role": "student", "content": "Oh okay", "session_id": 19762, "sequence_id": 124, "annotations": []}
{"role": "volunteer", "content": "yep that looks right!", "session_id": 19762, "sequence_id": 125, "annotations": []}
{"role": "student", "content": "Is this correct", "session_id": 19762, "sequence_id": 126, "annotations": []}
{"role": "student", "content": "Yay", "session_id": 19762, "sequence_id": 127, "annotations": []}
{"role": "volunteer", "content": "i can do one more question if you have any, but thatd be my last one", "session_id": 19762, "sequence_id": 128, "annotations": []}
{"role": "student", "content": "That\u2019s so amazing because I have one more and I\u2019ll be done", "session_id": 19762, "sequence_id": 129, "annotations": []}
{"role": "volunteer", "content": "lol perfect", "session_id": 19762, "sequence_id": 130, "annotations": []}
{"role": "volunteer", "content": "oo.. this is using the unit circle right?", "session_id": 19762, "sequence_id": 131, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 19762, "sequence_id": 132, "annotations": []}
{"role": "student", "content": "If it\u2019s sin inverse of 1/2 the degree has ti be inserted for it?", "session_id": 19762, "sequence_id": 133, "annotations": []}
{"role": "student", "content": "*to", "session_id": 19762, "sequence_id": 134, "annotations": []}
{"role": "volunteer", "content": "yep thats right", "session_id": 19762, "sequence_id": 135, "annotations": []}
{"role": "volunteer", "content": "yep thats right", "session_id": 19762, "sequence_id": 136, "annotations": []}
{"role": "volunteer", "content": "youll do fine in calc, dont even worry", "session_id": 19762, "sequence_id": 137, "annotations": []}
{"role": "student", "content": "Thank you Mr Mr. Adams", "session_id": 19762, "sequence_id": 138, "annotations": [{"pii_type": "PERSON", "surrogate": "Mr. Adams", "start": 13, "end": 22}]}
{"role": "student", "content": ":)", "session_id": 19762, "sequence_id": 139, "annotations": []}
{"role": "volunteer", "content": "lol not a problem Jamie", "session_id": 19762, "sequence_id": 140, "annotations": [{"pii_type": "PERSON", "surrogate": "Jamie", "start": 18, "end": 23}]}
{"role": "volunteer", "content": "have a good night!", "session_id": 19762, "sequence_id": 141, "annotations": []}
{"role": "student", "content": "You too!", "session_id": 19762, "sequence_id": 142, "annotations": []}
{"role": "student", "content": "Bye", "session_id": 19762, "sequence_id": 143, "annotations": []}
{"role": "student", "content": ":)", "session_id": 19762, "sequence_id": 144, "annotations": []}
{"role": "volunteer", "content": "bye :)", "session_id": 19762, "sequence_id": 145, "annotations": []}
{"role": "volunteer", "content": "hi", "session_id": 1145, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "hi!", "session_id": 1145, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "I just need help with one problem", "session_id": 1145, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "ok sure", "session_id": 1145, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "can you put it on the board?", "session_id": 1145, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "I have to solve for x and y", "session_id": 1145, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "there", "session_id": 1145, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "ok thanks I see it", "session_id": 1145, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "k", "session_id": 1145, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "so there are a few different ways to do this", "session_id": 1145, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "but I'll show you the way I think is easiest", "session_id": 1145, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "I have to do wither substitution or elimination", "session_id": 1145, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "either*", "session_id": 1145, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "ok I think my way is called elimination", "session_id": 1145, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "okay sounds good", "session_id": 1145, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "ok so we have x in the first equation and 2x in the second", "session_id": 1145, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "yes", "session_id": 1145, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "for elimination we want 2x in BOTH so we can simply subtract", "session_id": 1145, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "k...", "session_id": 1145, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "so we multiply everything in the first equation by 2 to get our rx", "session_id": 1145, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "what is 7y times 2 ?", "session_id": 1145, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "good job", "session_id": 1145, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "thanks", "session_id": 1145, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "so now we simply subtract the 2 equations", "session_id": 1145, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "ok", "session_id": 1145, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "what is 2x - 2x ?", "session_id": 1145, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "careful with the - -", "session_id": 1145, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "+ good job", "session_id": 1145, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "great work!", "session_id": 1145, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "thank you!", "session_id": 1145, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "now divide by 22", "session_id": 1145, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "wait we had 0x", "session_id": 1145, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "ox is just 0", "session_id": 1145, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "ok", "session_id": 1145, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "so you got it! y=-1", "session_id": 1145, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "great work", "session_id": 1145, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "cool! now I just need to solve for x", "session_id": 1145, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "right to substitute -1 for y in the first equation", "session_id": 1145, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "one second I have to write this down on my paper", "session_id": 1145, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 1145, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "there", "session_id": 1145, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "ok great", "session_id": 1145, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "so x - 7 =0", "session_id": 1145, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "excellent Leo", "session_id": 1145, "sequence_id": 43, "annotations": [{"pii_type": "PERSON", "surrogate": "Leo", "start": 10, "end": 13}]}
{"role": "volunteer", "content": "you did it", "session_id": 1145, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "ok cool! thank you!!", "session_id": 1145, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "you're welcome", "session_id": 1145, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "keep up the good work", "session_id": 1145, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "Hi!", "session_id": 2121, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "Hiii", "session_id": 2121, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "I need help with a couple problems please", "session_id": 2121, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "Of course!", "session_id": 2121, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "thanks one sec", "session_id": 2121, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "7 on this page", "session_id": 2121, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "15 on this page please", "session_id": 2121, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "Ok! Let's start with 7", "session_id": 2121, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "yuppp", "session_id": 2121, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "From what we can see on the number line, what can you say about the solution just from that?", "session_id": 2121, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "what will the solutions include?", "session_id": 2121, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "I think -3 and 5", "session_id": 2121, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "would be the numbers included", "session_id": 2121, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "That's true, but the dots continue on from each direction", "session_id": 2121, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "that's true", "session_id": 2121, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "so x is <= -3 or x>- 5", "session_id": 2121, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "So you had the right idea", "session_id": 2121, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "got it thanks for the explanation", "session_id": 2121, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "Maria!", "session_id": 2121, "sequence_id": 18, "annotations": [{"pii_type": "PERSON", "surrogate": "Maria", "start": 0, "end": 5}]}
{"role": "volunteer", "content": "Just to make sure, do you know the answer?", "session_id": 2121, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "would it be option D", "session_id": 2121, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "Hmm, let's look at the number line again", "session_id": 2121, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "would the dots fall into that solution?", "session_id": 2121, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "im not sure", "session_id": 2121, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "b", "session_id": 2121, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "Ok, let's go back to what you were saying about -3 and 5", "session_id": 2121, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "Yes that's correct", "session_id": 2121, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "If we put those solutions into an equation, you'll get (x+3)(x-5), correct?", "session_id": 2121, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "yes", "session_id": 2121, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "In all the answer choices, we see that equations are all >= or > 0", "session_id": 2121, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "That means that if you take one of the equations, and plug in any of the soolutions you see on the number line, the equation should be true", "session_id": 2121, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "For example in B", "session_id": 2121, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "If you plug in -4, you get -1 * -9 which is, in fact, >=0 right?", "session_id": 2121, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "yes", "session_id": 2121, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "I see that", "session_id": 2121, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "hi you still there", "session_id": 2121, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "Hello How are you?", "session_id": 2792, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "Hi, well. I am currently doing SAT Review problems, and I was wondering if you would be able to check. Additionally, if you would be able to suggest more efficient methods to solve questions (as needed), that would be great.", "session_id": 2792, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 2792, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "Not sure about eff. methods", "session_id": 2792, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "but I can check your reulst", "session_id": 2792, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "Well, by efficient methods, I mean test-taking methods.", "session_id": 2792, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "For the first one r = 10", "session_id": 2792, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "Yes,", "session_id": 2792, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "and hence, the circumference is 20pi", "session_id": 2792, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "so circum is 2*pi*10 = 20pi", "session_id": 2792, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "OK?", "session_id": 2792, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "I know that; I've written above.", "session_id": 2792, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "I see", "session_id": 2792, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "OK for #2 2*47 = 94 so u are OK", "session_id": 2792, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "OK for #3 could there be two correct answerrs?", "session_id": 2792, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "OK My bad", "session_id": 2792, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "I I see we are given the center", "session_id": 2792, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "No, there should be 1 correct answer for each.", "session_id": 2792, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "I agree C is correct", "session_id": 2792, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "That is the format of the SAT.", "session_id": 2792, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "I see", "session_id": 2792, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "I took the SAT test", "session_id": 2792, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "You seem not to have an answer for #5 Am I correct?", "session_id": 2792, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "Yes.", "session_id": 2792, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "OK what does the 4xqroot(2) mean?", "session_id": 2792, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "I see", "session_id": 2792, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "I guess those are r?", "session_id": 2792, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 2792, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "Here is an effcient way to do that one", "session_id": 2792, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "what x/32?", "session_id": 2792, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "12", "session_id": 2792, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "OK then take sqroot of that", "session_id": 2792, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "12 is the ratio of the squres of the radii", "session_id": 2792, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 2792, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "Yes. understood.", "session_id": 2792, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "On to #6", "session_id": 2792, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "OK any odea about #6?", "session_id": 2792, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "Any*", "session_id": 2792, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "And how about an angle from center to the arc?", "session_id": 2792, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "so it would be", "session_id": 2792, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "I agree", "session_id": 2792, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "30/180 or 60/360", "session_id": 2792, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "Because the C is inscribed in the circle and intercepts AB,", "session_id": 2792, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "the angle of AB must be two times that of ACB", "session_id": 2792, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "Yes", "session_id": 2792, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "And hence, we just do 60/360 * circumfurence", "session_id": 2792, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "I think of that as giving central angle of 60 deg", "session_id": 2792, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "circumference", "session_id": 2792, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "Yes", "session_id": 2792, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "OK", "session_id": 2792, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "One Hint", "session_id": 2792, "sequence_id": 50, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 2792, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "MAYBE the total of incscribed angles 180 deg", "session_id": 2792, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "then you do not need to get the cetral angle", "session_id": 2792, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "But I have not seen that latkey", "session_id": 2792, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "lately*", "session_id": 2792, "sequence_id": 55, "annotations": []}
{"role": "student", "content": "Sorry, I do not understand.", "session_id": 2792, "sequence_id": 56, "annotations": []}
{"role": "student", "content": "What do you mean exactly?", "session_id": 2792, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "OK central angle si 60 deg do u agree?", "session_id": 2792, "sequence_id": 58, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 2792, "sequence_id": 59, "annotations": []}
{"role": "student", "content": "of AB", "session_id": 2792, "sequence_id": 60, "annotations": []}
{"role": "student", "content": "Agreed.", "session_id": 2792, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "and 60/360 is 1/6 because total of central angles would 360 agree?", "session_id": 2792, "sequence_id": 62, "annotations": []}
{"role": "student", "content": "Yes.", "session_id": 2792, "sequence_id": 63, "annotations": []}
{"role": "student", "content": "I agree", "session_id": 2792, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "OK Now I *think* total of insrciribed angles mught 180 deg. IF tha  is trus then you can use 30.180 which is a littl emore effiecnt", "session_id": 2792, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "Just an idea", "session_id": 2792, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "just metnioned that becuase you asked about effienecy", "session_id": 2792, "sequence_id": 67, "annotations": []}
{"role": "student", "content": "Yes, okay, thank you for pointing that out.", "session_id": 2792, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "OK you can check on that", "session_id": 2792, "sequence_id": 69, "annotations": []}
{"role": "student", "content": "However, since this is a small step, I will probably just stick with the norm. But thank you very much! Yes, I did ask about efficiency in the beginning of the session.", "session_id": 2792, "sequence_id": 70, "annotations": []}
{"role": "student", "content": "Thank you very much for your help in this session! Have a great day.", "session_id": 2792, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "I agree it is  a very valid", "session_id": 2792, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "You are welcome BYE BYE", "session_id": 2792, "sequence_id": 73, "annotations": []}
{"role": "student", "content": "Goodbye.", "session_id": 2792, "sequence_id": 74, "annotations": []}
{"role": "student", "content": "hello!", "session_id": 4261, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "Alex", "session_id": 4261, "sequence_id": 1, "annotations": [{"pii_type": "PERSON", "surrogate": "Alex", "start": 0, "end": 4}]}
{"role": "student", "content": "i have a few minor problems i need clarifications on", "session_id": 4261, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "Okay lets see them!", "session_id": 4261, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "im type them out so give me a moment", "session_id": 4261, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "Okay no worries.", "session_id": 4261, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "regarding the first one", "session_id": 4261, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "i have an answer of 64 but ive been told its wrong but im not fully sure why", "session_id": 4261, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "Okay lets start with that one", "session_id": 4261, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "Do you know how to rewrite that?", "session_id": 4261, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "maybe", "session_id": 4261, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "actually no", "session_id": 4261, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "Thats okay no worries", "session_id": 4261, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "When we see numbers to the power of fractions its actually referring to square root or cube root or basically the root of numbers", "session_id": 4261, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "Okay what number do you think goes inside of there?", "session_id": 4261, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "yeah good job", "session_id": 4261, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "so i was right...", "session_id": 4261, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "but that one wasnt the one i was really worried about", "session_id": 4261, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "Yeah it is right, I'm not sure why they said it was wrong.", "session_id": 4261, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "well", "session_id": 4261, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "for the 2nd question", "session_id": 4261, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "im completely lost", "session_id": 4261, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "Is that what you mean?", "session_id": 4261, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "yes", "session_id": 4261, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "for this...", "session_id": 4261, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "i assume you first simply the expression if possible", "session_id": 4261, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "which it isnt", "session_id": 4261, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "Okay I see why you think we should simplify the expression", "session_id": 4261, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "That's usually the first step you take with square root but cube root is a little different", "session_id": 4261, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "The first thing we want to do is get the numbers under one cube root", "session_id": 4261, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "How do you think we could do that?", "session_id": 4261, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "not sure", "session_id": 4261, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "muitiply to get it so it can?", "session_id": 4261, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "Yes perfect!", "session_id": 4261, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "Multiply both numbers together", "session_id": 4261, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "500?", "session_id": 4261, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "Yes!", "session_id": 4261, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "Okay what do you think we should do?", "session_id": 4261, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "take out the 3rd root like you would with any other?", "session_id": 4261, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "Not quite, we can actually just simplify it", "session_id": 4261, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "how so", "session_id": 4261, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "Think of a regular radical", "session_id": 4261, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "when you simplify it you pull out perfect squares", "session_id": 4261, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "hmm", "session_id": 4261, "sequence_id": 43, "annotations": []}
{"role": "student", "content": "ohhh", "session_id": 4261, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "uh", "session_id": 4261, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "Try to use perfect squares", "session_id": 4261, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "25", "session_id": 4261, "sequence_id": 47, "annotations": []}
{"role": "student", "content": "oh wait", "session_id": 4261, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "for a 3rd root", "session_id": 4261, "sequence_id": 49, "annotations": []}
{"role": "student", "content": "125", "session_id": 4261, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "Ill give you a hint, we can use 4", "session_id": 4261, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "yes perfect", "session_id": 4261, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "lets start again 125 and 4", "session_id": 4261, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "Wait I meant 125 sorry", "session_id": 4261, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "Okay good, do you notice that we have 3 fives", "session_id": 4261, "sequence_id": 55, "annotations": []}
{"role": "student", "content": "yes", "session_id": 4261, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "we can rewrite 125 as 5 to the power of what?", "session_id": 4261, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "Good job", "session_id": 4261, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "but we're missing something", "session_id": 4261, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "Good job!", "session_id": 4261, "sequence_id": 60, "annotations": []}
{"role": "student", "content": "is that the full answer", "session_id": 4261, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "Yes!", "session_id": 4261, "sequence_id": 62, "annotations": []}
{"role": "student", "content": "interesting", "session_id": 4261, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "Yeah math is crazy", "session_id": 4261, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "Is there anything else you need help with?", "session_id": 4261, "sequence_id": 65, "annotations": []}
{"role": "student", "content": "1 sec", "session_id": 4261, "sequence_id": 66, "annotations": []}
{"role": "student", "content": "i got 1 more", "session_id": 4261, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "Okay!", "session_id": 4261, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "So is the question how to simplify the top one?", "session_id": 4261, "sequence_id": 69, "annotations": []}
{"role": "student", "content": "yes", "session_id": 4261, "sequence_id": 70, "annotations": []}
{"role": "student", "content": "again i was told this wrong but im not sure exactly why.", "session_id": 4261, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "Okay it is the right answer once again", "session_id": 4261, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "you even drew the correct process", "session_id": 4261, "sequence_id": 73, "annotations": []}
{"role": "student", "content": "thanks for the reassurance", "session_id": 4261, "sequence_id": 74, "annotations": []}
{"role": "volunteer", "content": "Of course!", "session_id": 4261, "sequence_id": 75, "annotations": []}
{"role": "student", "content": "if we have time for another, i have one", "session_id": 4261, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "Yes we do", "session_id": 4261, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "Okay good work but it's not the right answer", "session_id": 4261, "sequence_id": 78, "annotations": []}
{"role": "student", "content": "alright", "session_id": 4261, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "You made a mistake when you factored 25", "session_id": 4261, "sequence_id": 80, "annotations": []}
{"role": "volunteer", "content": "since 25 is a perfect square we need to show that", "session_id": 4261, "sequence_id": 81, "annotations": []}
{"role": "student", "content": "ohhh", "session_id": 4261, "sequence_id": 82, "annotations": []}
{"role": "volunteer", "content": "there should only be one five coming from 25", "session_id": 4261, "sequence_id": 83, "annotations": []}
{"role": "volunteer", "content": "because the square root is 5", "session_id": 4261, "sequence_id": 84, "annotations": []}
{"role": "volunteer", "content": "the first five needs to have the square root", "session_id": 4261, "sequence_id": 85, "annotations": []}
{"role": "volunteer", "content": "we leave it like that because it's showing us that its not a perfect square", "session_id": 4261, "sequence_id": 86, "annotations": []}
{"role": "volunteer", "content": "now combine then", "session_id": 4261, "sequence_id": 87, "annotations": []}
{"role": "volunteer", "content": "oh dont use the 25", "session_id": 4261, "sequence_id": 88, "annotations": []}
{"role": "volunteer", "content": "we square rooted it, the five is what matters", "session_id": 4261, "sequence_id": 89, "annotations": []}
{"role": "volunteer", "content": "Good", "session_id": 4261, "sequence_id": 90, "annotations": []}
{"role": "volunteer", "content": "but you erased something that was correct too", "session_id": 4261, "sequence_id": 91, "annotations": []}
{"role": "volunteer", "content": "Good job", "session_id": 4261, "sequence_id": 92, "annotations": []}
{"role": "volunteer", "content": "Now lets rewrite out equation", "session_id": 4261, "sequence_id": 93, "annotations": []}
{"role": "volunteer", "content": "our*", "session_id": 4261, "sequence_id": 94, "annotations": []}
{"role": "volunteer", "content": "make sure the 2 stays", "session_id": 4261, "sequence_id": 95, "annotations": []}
{"role": "volunteer", "content": "yes good", "session_id": 4261, "sequence_id": 96, "annotations": []}
{"role": "volunteer", "content": "what do you think is the next step?", "session_id": 4261, "sequence_id": 97, "annotations": []}
{"role": "student", "content": "multiply?", "session_id": 4261, "sequence_id": 98, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 4261, "sequence_id": 99, "annotations": []}
{"role": "volunteer", "content": "no not quite", "session_id": 4261, "sequence_id": 100, "annotations": []}
{"role": "volunteer", "content": "If they go together as a pair the only thing that should be affected is the whole number", "session_id": 4261, "sequence_id": 101, "annotations": []}
{"role": "volunteer", "content": "yes good", "session_id": 4261, "sequence_id": 102, "annotations": []}
{"role": "volunteer", "content": "remember theyre a pair so only the whole numbers are affected", "session_id": 4261, "sequence_id": 103, "annotations": []}
{"role": "volunteer", "content": "Yes good job!", "session_id": 4261, "sequence_id": 104, "annotations": []}
{"role": "student", "content": "is that it?", "session_id": 4261, "sequence_id": 105, "annotations": []}
{"role": "volunteer", "content": "Yes!", "session_id": 4261, "sequence_id": 106, "annotations": []}
{"role": "student", "content": "thanks for your time", "session_id": 4261, "sequence_id": 107, "annotations": []}
{"role": "student", "content": "thats all i needed", "session_id": 4261, "sequence_id": 108, "annotations": []}
{"role": "volunteer", "content": "I hope this helped you out!", "session_id": 4261, "sequence_id": 109, "annotations": []}
{"role": "volunteer", "content": "You did a great job today!", "session_id": 4261, "sequence_id": 110, "annotations": []}
{"role": "student", "content": "hope you have a nice rest of your day/night", "session_id": 4261, "sequence_id": 111, "annotations": []}
{"role": "student", "content": "it did", "session_id": 4261, "sequence_id": 112, "annotations": []}
{"role": "volunteer", "content": "Thank you, you too!", "session_id": 4261, "sequence_id": 113, "annotations": []}
{"role": "student", "content": "byee", "session_id": 4261, "sequence_id": 114, "annotations": []}
{"role": "volunteer", "content": "Bye", "session_id": 4261, "sequence_id": 115, "annotations": []}
{"role": "student", "content": "Hello", "session_id": 8607, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "hii!! what do you need help with", "session_id": 8607, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "I put the problem set up, it's letter d that I'm having trouble with", "session_id": 8607, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "okay sure", "session_id": 8607, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "one sec", "session_id": 8607, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "okay so first, you square root both sides to get rid of the exponent on k-4", "session_id": 8607, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 8607, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "but since you cant square root -3 its gonna be \u00b1isqrt3\u200b where I = imaginary number or sqrt-1", "session_id": 8607, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "I don't know the square root symbol", "session_id": 8607, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "On keyboard", "session_id": 8607, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "its okay you can just draw it", "session_id": 8607, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "instead of typing", "session_id": 8607, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "Ok", "session_id": 8607, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "Since, I'm in geometry and we haven't touched on imaginary numbers yet, what should I do.", "session_id": 8607, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "there are no real solutions", "session_id": 8607, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "Ok, and that's because \"i\" isn't a \"real\" number?", "session_id": 8607, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 8607, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "ok ty", "session_id": 8607, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "Hello", "session_id": 8647, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "hello", "session_id": 8647, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "hello", "session_id": 8647, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "can you help me with three", "session_id": 8647, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "Which three?", "session_id": 8647, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "Oh, you mean #3", "session_id": 8647, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "yes please", "session_id": 8647, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "That looks good so far", "session_id": 8647, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "like this?", "session_id": 8647, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "So far so good", "session_id": 8647, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "might as well make that second term +", "session_id": 8647, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "I am", "session_id": 8647, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "do you see how to do the integral?", "session_id": 8647, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "like this?", "session_id": 8647, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "Use u substitution", "session_id": 8647, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "ohhh", "session_id": 8647, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "like this?", "session_id": 8647, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "not quite. There should be no x in the integral and you need to replace the square root", "session_id": 8647, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "is it bc x is like 1", "session_id": 8647, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "you are replacing xdx with -1/2 dt", "session_id": 8647, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "so the xdx is gone", "session_id": 8647, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "better?", "session_id": 8647, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "no, the -1/2 is not an exponent", "session_id": 8647, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "oh", "session_id": 8647, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "and now the denominator", "session_id": 8647, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "What,", "session_id": 8647, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "wym", "session_id": 8647, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "Why", "session_id": 8647, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "why is xdx on top", "session_id": 8647, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "like im so confused with this right now", "session_id": 8647, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "that 's what you have.. I circled it in red", "session_id": 8647, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "oh", "session_id": 8647, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "Its another way to write it.", "session_id": 8647, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "Does that make sense now?", "session_id": 8647, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "im confused with the -1/2 and 1/2 itself", "session_id": 8647, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "There is a -1/2 in the numerator and I have replace the square root in the denominator with the exponent 1/2", "session_id": 8647, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "right", "session_id": 8647, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "is it -1/2 exponent", "session_id": 8647, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "when it's in the denominator it's 1/2, and then when you move it to the numerator it becomes -1/2", "session_id": 8647, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "are you familiar with that?", "session_id": 8647, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "I can write out the steps if you want", "session_id": 8647, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "I did it", "session_id": 8647, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "that's right", "session_id": 8647, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "is it not plus", "session_id": 8647, "sequence_id": 43, "annotations": []}
{"role": "student", "content": "see we have plus up here", "session_id": 8647, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "It's a minus", "session_id": 8647, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "its bc the power rule right", "session_id": 8647, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "like the -1/2", "session_id": 8647, "sequence_id": 47, "annotations": []}
{"role": "student", "content": "made it - and not +", "session_id": 8647, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "I circled where the negative comes from", "session_id": 8647, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "in green", "session_id": 8647, "sequence_id": 50, "annotations": []}
{"role": "student", "content": "yeah I get that", "session_id": 8647, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "so is what I circled the final answer", "session_id": 8647, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "You have to do the integral and get everything back in terms of x", "session_id": 8647, "sequence_id": 53, "annotations": []}
{"role": "student", "content": "oh", "session_id": 8647, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "there won't be any t's in the final answer. But you can do that integraL", "session_id": 8647, "sequence_id": 55, "annotations": []}
{"role": "student", "content": "like this?", "session_id": 8647, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "there won't be a 1/2 in front", "session_id": 8647, "sequence_id": 57, "annotations": []}
{"role": "student", "content": "what happens to it", "session_id": 8647, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "that 2 cancels the 1/2", "session_id": 8647, "sequence_id": 59, "annotations": []}
{"role": "student", "content": "ohhhh", "session_id": 8647, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "all set with that?", "session_id": 8647, "sequence_id": 61, "annotations": []}
{"role": "student", "content": "yes sir", "session_id": 8647, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "all set then?", "session_id": 8647, "sequence_id": 63, "annotations": []}
{"role": "student", "content": "yes", "session_id": 8647, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "OK then have a good week!", "session_id": 8647, "sequence_id": 65, "annotations": []}
{"role": "student", "content": "thank you!!!!", "session_id": 8647, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "you are very welcome", "session_id": 8647, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "by", "session_id": 8647, "sequence_id": 68, "annotations": []}
{"role": "student", "content": "byee", "session_id": 8647, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "Hello", "session_id": 7735, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "Hi can I need help solving a calculus problem", "session_id": 7735, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "I will upload it on the screen", "session_id": 7735, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 7735, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "This is a related rates problem", "session_id": 7735, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 7735, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "What have you done so far?", "session_id": 7735, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "I will write it on the screen", "session_id": 7735, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "that's what I have so far", "session_id": 7735, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "Why do you have Vdv/dt on the left?", "session_id": 7735, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "Oh I don't know I just put it there", "session_id": 7735, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "It should be just dV/dt.", "session_id": 7735, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "ohh okay that makes sense", "session_id": 7735, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "I am also not sure why you 2 on the left, since you have dV/dt =904", "session_id": 7735, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "yeah I see", "session_id": 7735, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "I guess you are figuring out the height at the instant when the radius is 10 and the volume 100, right?", "session_id": 7735, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "yes", "session_id": 7735, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "But then you should have r =10 meters, not 4 meters.", "session_id": 7735, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "ohh okay", "session_id": 7735, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "its becuase dr/dt= 4 and r=10", "session_id": 7735, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "But in that equation you are just figuring out what all the quantities are at the instant that they are interested in.", "session_id": 7735, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "ohh okay", "session_id": 7735, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "At that instant, V =489 and r =10 and you are figuring out what h is", "session_id": 7735, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "yeah okay", "session_id": 7735, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "So go ahead and figure out what h is when V =489 and r =10", "session_id": 7735, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "how would I do that. I'm confused because I don't see V in the equation", "session_id": 7735, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "That is the equation relating V, r, and h at the instant tney are interested in.", "session_id": 7735, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "okay I understand, so is this the first think that I should have done", "session_id": 7735, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "Well, you did find dV/dt almost correctly, except that you had that extra V and you seemed t have dropped the 1/3 \ud835\udf0b for some reason", "session_id": 7735, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "ohh okay", "session_id": 7735, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "I see", "session_id": 7735, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "now do I isolate for h", "session_id": 7735, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "That is not enough decimal places.", "session_id": 7735, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "Oh okay how do I know how many decimal places to keep", "session_id": 7735, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "They are going to want the final answer to 3 dp.  when using a calculator, you should keep another 1 or 2 decimal places more than ask for.  Dont round off numbers until the final answer. Otherwise you will get rounding errors.", "session_id": 7735, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "okay that makes sense", "session_id": 7735, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "Now you can plug all your information into your equation for dV/dt", "session_id": 7735, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "also the reason why I dropped 1/3 pi when solving for dv/dt was becuse I divided both sides by 1/3 pi", "session_id": 7735, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "okay", "session_id": 7735, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "do I keep r as 4 or 10", "session_id": 7735, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "Don't forget \ud835\udf0b", "session_id": 7735, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "okay", "session_id": 7735, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "Yes.  From here it is just arithmetic.", "session_id": 7735, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "okay do I sub 904 for dv/dt", "session_id": 7735, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "It looks like you already did that.", "session_id": 7735, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "is what i have so far correct", "session_id": 7735, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "Yes, that looks good, although I have 4.66905", "session_id": 7735, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "ohh okay I think I wrote 4.66905 by accident", "session_id": 7735, "sequence_id": 47, "annotations": []}
{"role": "student", "content": "I got dh/dt= 1.2345", "session_id": 7735, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "That's not what I get. You would probably be better off doing this on your own on paper.", "session_id": 7735, "sequence_id": 49, "annotations": []}
{"role": "student", "content": "Ohh okay let me try again", "session_id": 7735, "sequence_id": 50, "annotations": []}
{"role": "student", "content": "ohh I see I forgot to add", "session_id": 7735, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "I am not concerned with the arithmetic, but with whether you understand  how to do this kind of question.", "session_id": 7735, "sequence_id": 52, "annotations": []}
{"role": "student", "content": "Yes I understand it", "session_id": 7735, "sequence_id": 53, "annotations": []}
{"role": "student", "content": "thanks for your help!", "session_id": 7735, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "You are very welcome.", "session_id": 7735, "sequence_id": 55, "annotations": []}
{"role": "student", "content": "I will take a screenshot of my work", "session_id": 7735, "sequence_id": 56, "annotations": []}
{"role": "student", "content": "Thank you! have a good day!", "session_id": 7735, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "Hi", "session_id": 9767, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "hello", "session_id": 9767, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "i will post the question on the board", "session_id": 9767, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 9767, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "ok so first it's important to identify what is the unknown in the question and what is the data given to us", "session_id": 9767, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "the lower price rate is unknown", "session_id": 9767, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "perfect", "session_id": 9767, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "now what is the data given to us", "session_id": 9767, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "a table and an equation", "session_id": 9767, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 9767, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "now what is the condition that we can compare prices ?", "session_id": 9767, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "we would need the price per gallon charged by each gas station right?]", "session_id": 9767, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "yes", "session_id": 9767, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "right, now looking at the gas station B equation, we can see that the question itself gives us the price per gallon", "session_id": 9767, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "which is?", "session_id": 9767, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "3.08", "session_id": 9767, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "perfect", "session_id": 9767, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "now for gas station A, they give us a table of values. Now this information can be used to find out equation of gas station A too right?", "session_id": 9767, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "gas station A is 3 divided by 9.15", "session_id": 9767, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 9767, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "which is?", "session_id": 9767, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "which is 3.05", "session_id": 9767, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "perfect, now finish up the question", "session_id": 9767, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "it is C", "session_id": 9767, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "excellent work", "session_id": 9767, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "any other questions?", "session_id": 9767, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "yes", "session_id": 9767, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "alright, go ahead", "session_id": 9767, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "Alright, so the question is practically the same as the last one, if you notice, but there's just one small change in the data given", "session_id": 9767, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "a graph this time, which is what I am stuck on", "session_id": 9767, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "alright, i'll help you through that but firstly, what is the unit price for A?", "session_id": 9767, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "give me some time to work it out on some paper, please?", "session_id": 9767, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "sure sure, I just want to make sure that we're done with the first part before we move on to part B", "session_id": 9767, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "have you got it?", "session_id": 9767, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "just for fragrance A", "session_id": 9767, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "I almost got it, just a few more minutes please", "session_id": 9767, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "sure", "session_id": 9767, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "should we move on?", "session_id": 9767, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "No not yet please, this topic is difficult for me", "session_id": 9767, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "would you like some help?", "session_id": 9767, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "is it 26?", "session_id": 9767, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 9767, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "so, now time for the graph........", "session_id": 9767, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 9767, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "so now we know the graph is a line with an equation y=mx where y is the total price, x is number of bottles and m is the individual price right?", "session_id": 9767, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "yes", "session_id": 9767, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "are you familiar with the concept of slope of a line", "session_id": 9767, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "yes", "session_id": 9767, "sequence_id": 47, "annotations": []}
{"role": "student", "content": "we go on till there's a point where x and y meet", "session_id": 9767, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "ok...here do you realize that the slope of the line is itself the price of one bottle of fragrance B?", "session_id": 9767, "sequence_id": 49, "annotations": []}
{"role": "student", "content": "but I also have something that is based on it that troubles me. Could you help me with that after these problems? And yes, I do.", "session_id": 9767, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "yea I will, anyways so tell me the slope of the line", "session_id": 9767, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "24", "session_id": 9767, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "gr8 so you can finish up the question now", "session_id": 9767, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "alright let's move on", "session_id": 9767, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "yeah so this is a similar case as the previous ones, just divide y/x for any one column (maybe check if it applies for all other)", "session_id": 9767, "sequence_id": 55, "annotations": []}
{"role": "student", "content": "oki", "session_id": 9767, "sequence_id": 56, "annotations": []}
{"role": "student", "content": "a is not one", "session_id": 9767, "sequence_id": 57, "annotations": []}
{"role": "student", "content": "because 3/5 is 0.6 in decimal terms", "session_id": 9767, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 9767, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "keep going and give me the entire ans", "session_id": 9767, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "ill check all at once", "session_id": 9767, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "take your time", "session_id": 9767, "sequence_id": 62, "annotations": []}
{"role": "student", "content": "oki", "session_id": 9767, "sequence_id": 63, "annotations": []}
{"role": "student", "content": "C and E are right", "session_id": 9767, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "yeah", "session_id": 9767, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "same concept, keep going", "session_id": 9767, "sequence_id": 66, "annotations": []}
{"role": "student", "content": "oki", "session_id": 9767, "sequence_id": 67, "annotations": []}
{"role": "student", "content": "D and A", "session_id": 9767, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "yup", "session_id": 9767, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "now the unit rate in the graph as we know is the slope", "session_id": 9767, "sequence_id": 70, "annotations": []}
{"role": "student", "content": "oki", "session_id": 9767, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "keep going in the same way as before, ill check your answer", "session_id": 9767, "sequence_id": 72, "annotations": []}
{"role": "student", "content": "oki", "session_id": 9767, "sequence_id": 73, "annotations": []}
{"role": "student", "content": "i am stuck", "session_id": 9767, "sequence_id": 74, "annotations": []}
{"role": "volunteer", "content": "on what part?", "session_id": 9767, "sequence_id": 75, "annotations": []}
{"role": "student", "content": "I cannot figure out what goes first", "session_id": 9767, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "ok, firstly what is the slope of the line?", "session_id": 9767, "sequence_id": 77, "annotations": []}
{"role": "student", "content": "1.875", "session_id": 9767, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "perfect", "session_id": 9767, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "so now just find the decimal form of each fraction you've got", "session_id": 9767, "sequence_id": 80, "annotations": []}
{"role": "volunteer", "content": "so first is 17/9", "session_id": 9767, "sequence_id": 81, "annotations": []}
{"role": "volunteer", "content": "that's around 1.88", "session_id": 9767, "sequence_id": 82, "annotations": []}
{"role": "volunteer", "content": "21/11 is around 1.9", "session_id": 9767, "sequence_id": 83, "annotations": []}
{"role": "volunteer", "content": "19/10 is 1.9", "session_id": 9767, "sequence_id": 84, "annotations": []}
{"role": "volunteer", "content": "do the same for the last 2 and arrange", "session_id": 9767, "sequence_id": 85, "annotations": []}
{"role": "volunteer", "content": "checking just a sec", "session_id": 9767, "sequence_id": 86, "annotations": []}
{"role": "volunteer", "content": "your order is slightly wrong, if your getting these values then the ans is correct", "session_id": 9767, "sequence_id": 87, "annotations": []}
{"role": "volunteer", "content": "i can't really see it clearly either so just verify your values", "session_id": 9767, "sequence_id": 88, "annotations": []}
{"role": "student", "content": "thats right what you got", "session_id": 9767, "sequence_id": 89, "annotations": []}
{"role": "student", "content": "for the values", "session_id": 9767, "sequence_id": 90, "annotations": []}
{"role": "volunteer", "content": "if your values are matching then it's fine", "session_id": 9767, "sequence_id": 91, "annotations": []}
{"role": "student", "content": "........ i don't get it", "session_id": 9767, "sequence_id": 92, "annotations": []}
{"role": "volunteer", "content": "are your values not matching or you're unable to arrange them in the order?", "session_id": 9767, "sequence_id": 93, "annotations": []}
{"role": "student", "content": "how am i supposed to arrange the from biggest to smallest?", "session_id": 9767, "sequence_id": 94, "annotations": []}
{"role": "volunteer", "content": "well you know the values right, so which is the greatest value among 1.8, 1.909, 1.9, 1.92, 1.91?", "session_id": 9767, "sequence_id": 95, "annotations": []}
{"role": "student", "content": "1.92", "session_id": 9767, "sequence_id": 96, "annotations": []}
{"role": "volunteer", "content": "and the next?", "session_id": 9767, "sequence_id": 97, "annotations": []}
{"role": "student", "content": "1.91", "session_id": 9767, "sequence_id": 98, "annotations": []}
{"role": "student", "content": "1.909", "session_id": 9767, "sequence_id": 99, "annotations": []}
{"role": "student", "content": "1.9", "session_id": 9767, "sequence_id": 100, "annotations": []}
{"role": "student", "content": "1.8", "session_id": 9767, "sequence_id": 101, "annotations": []}
{"role": "volunteer", "content": "yeah that's it then", "session_id": 9767, "sequence_id": 102, "annotations": []}
{"role": "volunteer", "content": "the value corresponds to the unit change of each table", "session_id": 9767, "sequence_id": 103, "annotations": []}
{"role": "student", "content": "like that", "session_id": 9767, "sequence_id": 104, "annotations": []}
{"role": "student", "content": "oki", "session_id": 9767, "sequence_id": 105, "annotations": []}
{"role": "student", "content": "i did not get that at first", "session_id": 9767, "sequence_id": 106, "annotations": []}
{"role": "volunteer", "content": "alright, any other questions?", "session_id": 9767, "sequence_id": 107, "annotations": []}
{"role": "student", "content": "no", "session_id": 9767, "sequence_id": 108, "annotations": []}
{"role": "volunteer", "content": "alright i'll end the session now then, gr8 work today, I hope you're feeling more confident", "session_id": 9767, "sequence_id": 109, "annotations": []}
{"role": "volunteer", "content": "bye", "session_id": 9767, "sequence_id": 110, "annotations": []}
{"role": "volunteer", "content": "hey", "session_id": 10589, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "how you doing", "session_id": 10589, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "alright", "session_id": 10589, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "i wanted to do some algebra problems if you can come up with some", "session_id": 10589, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "what category?", "session_id": 10589, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "you can pick it", "session_id": 10589, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "Okay", "session_id": 10589, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "ok", "session_id": 10589, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "which one i post to do", "session_id": 10589, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "All of them", "session_id": 10589, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "first one is x=5", "session_id": 10589, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "2 one is   -2a+6", "session_id": 10589, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "3 one y=2", "session_id": 10589, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "4 one -1", "session_id": 10589, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "5 one 3x+7", "session_id": 10589, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "Awesome", "session_id": 10589, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "want moer?", "session_id": 10589, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "yes", "session_id": 10589, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "1 one x = -12", "session_id": 10589, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "2 one", "session_id": 10589, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "3x2 over top -13x-10", "session_id": 10589, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "3 one -5", "session_id": 10589, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "(x+3) (x+4)", "session_id": 10589, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "5 one", "session_id": 10589, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "4 one i meant", "session_id": 10589, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "wANT MORE", "session_id": 10589, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "sure", "session_id": 10589, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "Solve", "session_id": 10589, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "x=2 or x+3", "session_id": 10589, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "(2x=5) (2x-5)", "session_id": 10589, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "Ahem", "session_id": 10589, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "huh", "session_id": 10589, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "oh mb", "session_id": 10589, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "22 and 24", "session_id": 10589, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "first the lengths of the two pieces are 17 cm and 23 cm", "session_id": 10589, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "thats the first one", "session_id": 10589, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "2 one is", "session_id": 10589, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "(12,13) or (-13, - 12)", "session_id": 10589, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "width = 5 cm, length =7 cm", "session_id": 10589, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "3 one", "session_id": 10589, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "How many more do you want to do?", "session_id": 10589, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "no more", "session_id": 10589, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "You think you got it?", "session_id": 10589, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "yes", "session_id": 10589, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "alright", "session_id": 10589, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "want to end session?", "session_id": 10589, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "yes", "session_id": 10589, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "have a good day", "session_id": 10589, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "you too", "session_id": 10589, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "hi", "session_id": 11520, "sequence_id": 0, "annotations": []}
{"role": "student", "content": ":)", "session_id": 11520, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "Hey there!", "session_id": 11520, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "I need help with this little tiny question (that's not really tiny)", "session_id": 11520, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "Sure no problem!", "session_id": 11520, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "so Alice is planning to drive from city X to City Y. The scale below shows the distance between the two cities with a scale of 1inch=20 miles", "session_id": 11520, "sequence_id": 5, "annotations": [{"pii_type": "PERSON", "surrogate": "Alice", "start": 3, "end": 8}]}
{"role": "volunteer", "content": "Oh ok", "session_id": 11520, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "no wait that's not the hole question", "session_id": 11520, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "Sure go ahead", "session_id": 11520, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "If Alice drives at an average of 30 miles per hour during the entire trip, how much time, in hours and minutes, will it take her to drive from city X to city Y?", "session_id": 11520, "sequence_id": 9, "annotations": [{"pii_type": "PERSON", "surrogate": "Alice", "start": 3, "end": 8}]}
{"role": "volunteer", "content": "I think I need the distance between the two cities", "session_id": 11520, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "yup the distance is 11/2", "session_id": 11520, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "in", "session_id": 11520, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "Oh ok", "session_id": 11520, "sequence_id": 13, "annotations": []}
{"role": "student", "content": ":D", "session_id": 11520, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "so first we should calculate the distance in miles between the cities", "session_id": 11520, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "so multiply 20?", "session_id": 11520, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "yup", "session_id": 11520, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "which would give?", "session_id": 11520, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "39.9666-", "session_id": 11520, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "you can just round it off", "session_id": 11520, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "40", "session_id": 11520, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "ohh thanks", "session_id": 11520, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "No problem :)", "session_id": 11520, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "but were did u got the 3 from?", "session_id": 11520, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "yeah but what is the 30 dividing ?", "session_id": 11520, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "110/30", "session_id": 11520, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "the whole number is the hours and the decimals would be the minutes", "session_id": 11520, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "ohh", "session_id": 11520, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "thanks :)", "session_id": 11520, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "hello", "session_id": 10636, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "Hi", "session_id": 10636, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "do you have a mic?", "session_id": 10636, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 10636, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "OK, hello", "session_id": 10636, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "He said he.", "session_id": 10636, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "So, I have a test tomorrow and this is like my study guide, and I just need like help on a couple questions.", "session_id": 10636, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 10636, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "Do you think you can help me with number 7?", "session_id": 10636, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "z is equal 284-142", "session_id": 10636, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "yeah but i need to know how to solve it'", "session_id": 10636, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "what do you mean", "session_id": 10636, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "like i need to solve for all vairbles", "session_id": 10636, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "and isnt Z= 142??", "session_id": 10636, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "wait, z==142", "session_id": 10636, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 10636, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 10636, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "4x+6=142", "session_id": 10636, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "2y+8=180-142", "session_id": 10636, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "can you understand it", "session_id": 10636, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "a litle bit", "session_id": 10636, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "like line 2 is parallel with line 3", "session_id": 10636, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "is my work correct", "session_id": 10636, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "hello", "session_id": 11385, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "hi", "session_id": 11385, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "what do you need help with", "session_id": 11385, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "I need help on my math homework please", "session_id": 11385, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "ok!", "session_id": 11385, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "what are you learning", "session_id": 11385, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "I'll share screen", "session_id": 11385, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 11385, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "that", "session_id": 11385, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "is there a specific problem", "session_id": 11385, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "??", "session_id": 11385, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "you still there", "session_id": 11385, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "yep", "session_id": 11385, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "is there a specific problem you need help with", "session_id": 11385, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "no I need to do 1-30", "session_id": 11385, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "but is there one you need my help on", "session_id": 11385, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "1", "session_id": 11385, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "#1", "session_id": 11385, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "Ok, first things first, the fraction 1/2 half means you divide something in 2, right? Like, for example, 2/4 = 1/2, because you divided the number in two. Any even number that can be divided by two can simplified to 1/2", "session_id": 11385, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "think about then number what fraction with a denominator of 6, could simplify to 1/2?", "session_id": 11385, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "im osrry i have to go", "session_id": 11385, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "hi", "session_id": 15684, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "how are you", "session_id": 15684, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "hello Alex", "session_id": 15684, "sequence_id": 2, "annotations": [{"pii_type": "PERSON", "surrogate": "Alex", "start": 6, "end": 10}]}
{"role": "student", "content": "i know its product rule", "session_id": 15684, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "yup", "session_id": 15684, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "So far so good", "session_id": 15684, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "im confused at this point like foiling", "session_id": 15684, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "You", "session_id": 15684, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "You're basically done", "session_id": 15684, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "All you need to do is remember the distributive property: a(b+c)=ab + ac", "session_id": 15684, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "I can walk you through the multiplication if that's ok", "session_id": 15684, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "thats fine", "session_id": 15684, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "Because you are multiplying a \"binomial\"(just an expression with 2 parts) like a monomial(an expression wit on part), you can just treat it like multiplying (5+7)(3).", "session_id": 15684, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "You distribute the 3 to the 5 and the 7, so you get 3(7)+3(5).", "session_id": 15684, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "It works the same for stuff with x in it", "session_id": 15684, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "ok", "session_id": 15684, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "here, try this one out just to make sure you grasp it well: Multiply (x^2+5x)(5x^2)", "session_id": 15684, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "is that right", "session_id": 15684, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "yup, nice job", "session_id": 15684, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "Do you want to finish the problems on the site, or do you have other questions", "session_id": 15684, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "another type of problem", "session_id": 15684, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "Ok, so moving on to the next one then right", "session_id": 15684, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "i put in 1/2x^1/2 - 5x^-1/2 and it was wrong", "session_id": 15684, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "oh you forgot to add the otehr half that you got with product rule", "session_id": 15684, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "oh", "session_id": 15684, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "sorry that might be on me", "session_id": 15684, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "sqrtX", "session_id": 15684, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "yup", "session_id": 15684, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "wait wut", "session_id": 15684, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "I think you did the wrong operation with sqrtx", "session_id": 15684, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "originally, it was +sqrt x) right", "session_id": 15684, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "right", "session_id": 15684, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "check again where you put the sqrtx", "session_id": 15684, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "in the answer you entered", "session_id": 15684, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "ok", "session_id": 15684, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "can you simplify the expression I wrote", "session_id": 15684, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "(hint: can roots be converted to exponents?)", "session_id": 15684, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "yes", "session_id": 15684, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "its plus btw(you originally got two things w product rule: one was the expression you had to distribute out, and the other was sqrtx. In product rule, you add the two, so you jsut made a silly mistake where you multiplied them instead)", "session_id": 15684, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "oh okay", "session_id": 15684, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "chain rule?", "session_id": 15684, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "yes, but lets start with the first part", "session_id": 15684, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "wait ur missing a key component to every function", "session_id": 15684, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "You have basically everything right, jsut look at the variables you are using", "session_id": 15684, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "yup, its the 1st one", "session_id": 15684, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "hint(u=g(x))", "session_id": 15684, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "nice", "session_id": 15684, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "and the 2nd one was right originally", "session_id": 15684, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "oh wait u changed it(hint: similar issue as the first one)", "session_id": 15684, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "yup", "session_id": 15684, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "Ok, now just plug it all in", "session_id": 15684, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "Sidenote: On the AP test, I found it helpful to jsut memorize it as: f'(g(x))=g'(x)(f'(g(x)))[confusing notation but the second f'(g(x)) is the derivative of f(x) then plugging in g(x) into that]", "session_id": 15684, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "yeah thats the way my teacher", "session_id": 15684, "sequence_id": 52, "annotations": []}
{"role": "student", "content": "likes", "session_id": 15684, "sequence_id": 53, "annotations": []}
{"role": "student", "content": "i thought this was easier though", "session_id": 15684, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "This is fine too for now tho, lemme see how much of the problem you can solve", "session_id": 15684, "sequence_id": 55, "annotations": []}
{"role": "student", "content": "we can do your way though", "session_id": 15684, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 15684, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "wait check ur functions", "session_id": 15684, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "which one is supposed to be f(x)?", "session_id": 15684, "sequence_id": 59, "annotations": []}
{"role": "student", "content": "u=y", "session_id": 15684, "sequence_id": 60, "annotations": []}
{"role": "student", "content": "?", "session_id": 15684, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "The f' is the outer one", "session_id": 15684, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "(Think about it: What would it look like if 1+4x was f(x))", "session_id": 15684, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "the cube root would be inside, but the function they want you to derive has the cube root as the outer function", "session_id": 15684, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "sorry differentiate not derive", "session_id": 15684, "sequence_id": 65, "annotations": []}
{"role": "student", "content": "4 right", "session_id": 15684, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "nope, yo have them mixed up, ur f' is what g' is and vice versa", "session_id": 15684, "sequence_id": 67, "annotations": []}
{"role": "student", "content": "can you right it out for me in focused", "session_id": 15684, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "in the formula i wrote, f' is on the outside of g(x), meaning that g is the one getting put into f(x)", "session_id": 15684, "sequence_id": 69, "annotations": []}
{"role": "student", "content": "i understand", "session_id": 15684, "sequence_id": 70, "annotations": []}
{"role": "student", "content": "that", "session_id": 15684, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "so the outer function is f, which is the cube root of x", "session_id": 15684, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "and the inner is g, or 1+4x", "session_id": 15684, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "so ur f' taht u wrote(4) is actually g' u might have just mixed them up", "session_id": 15684, "sequence_id": 74, "annotations": []}
{"role": "student", "content": "oh right", "session_id": 15684, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "good", "session_id": 15684, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "now just go under all the stuff we wrote and plug it into the formula", "session_id": 15684, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "yes, but what should be there in place of x", "session_id": 15684, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "hint(look at the formula)", "session_id": 15684, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "wait no i meant in place of the literal x in 1/3x^(-2/3)", "session_id": 15684, "sequence_id": 80, "annotations": []}
{"role": "volunteer", "content": "wait you almost have it", "session_id": 15684, "sequence_id": 81, "annotations": []}
{"role": "volunteer", "content": "Lets go through the parts of the formula, first what's g'?", "session_id": 15684, "sequence_id": 82, "annotations": []}
{"role": "student", "content": "1=+4x", "session_id": 15684, "sequence_id": 83, "annotations": []}
{"role": "student", "content": "1+4x", "session_id": 15684, "sequence_id": 84, "annotations": []}
{"role": "student", "content": "4", "session_id": 15684, "sequence_id": 85, "annotations": []}
{"role": "volunteer", "content": "yup", "session_id": 15684, "sequence_id": 86, "annotations": []}
{"role": "volunteer", "content": "so that's the first part u need", "session_id": 15684, "sequence_id": 87, "annotations": []}
{"role": "volunteer", "content": "even closer", "session_id": 15684, "sequence_id": 88, "annotations": []}
{"role": "volunteer", "content": "you added an extra bit that's not in the formula", "session_id": 15684, "sequence_id": 89, "annotations": []}
{"role": "student", "content": "-2/3", "session_id": 15684, "sequence_id": 90, "annotations": []}
{"role": "volunteer", "content": "yup, but only part of it", "session_id": 15684, "sequence_id": 91, "annotations": []}
{"role": "volunteer", "content": "Removing that part of the -2/3 would be the same thing as if you u remove another part", "session_id": 15684, "sequence_id": 92, "annotations": []}
{"role": "volunteer", "content": "of the expression", "session_id": 15684, "sequence_id": 93, "annotations": []}
{"role": "volunteer", "content": "hint: it's f'(g(x)), not f'(f(x))", "session_id": 15684, "sequence_id": 94, "annotations": []}
{"role": "student", "content": "g", "session_id": 15684, "sequence_id": 95, "annotations": []}
{"role": "student", "content": "g prime", "session_id": 15684, "sequence_id": 96, "annotations": []}
{"role": "volunteer", "content": "nope, im talking about the second half only, ur 4/3 is good", "session_id": 15684, "sequence_id": 97, "annotations": []}
{"role": "volunteer", "content": "do u remember function composition", "session_id": 15684, "sequence_id": 98, "annotations": []}
{"role": "student", "content": "a littel", "session_id": 15684, "sequence_id": 99, "annotations": []}
{"role": "student", "content": "little", "session_id": 15684, "sequence_id": 100, "annotations": []}
{"role": "volunteer", "content": "so when i say f(g(x)), and f is 1/3x^(-2/3), and g(x) is 1+4x, I mean  to use g(x) for all x in f(x)", "session_id": 15684, "sequence_id": 101, "annotations": []}
{"role": "volunteer", "content": "lemme write it out", "session_id": 15684, "sequence_id": 102, "annotations": []}
{"role": "volunteer", "content": "it's really laggy on my end mb", "session_id": 15684, "sequence_id": 103, "annotations": []}
{"role": "volunteer", "content": "Do u get that part", "session_id": 15684, "sequence_id": 104, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 15684, "sequence_id": 105, "annotations": []}
{"role": "volunteer", "content": "In my example, f(x) was actually the f' in ur problem, and g was just g. So in the second part of ur answer, which is supposed to be f'(g(x)), u did f'(f(x)), bc u plugged in the cube root which isn't in g(x)", "session_id": 15684, "sequence_id": 106, "annotations": []}
{"role": "student", "content": "thanks", "session_id": 15684, "sequence_id": 107, "annotations": []}
{"role": "student", "content": "Hi", "session_id": 16959, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "Hello, How are you doing today??", "session_id": 16959, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "I\u2019m good", "session_id": 16959, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "that's good!! What can I help you with today?", "session_id": 16959, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "I need help finding scenario that match an equation", "session_id": 16959, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "scenarios", "session_id": 16959, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "ok do you have a picture or something that I can see so I can help you better?", "session_id": 16959, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "Right here", "session_id": 16959, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "thanks", "session_id": 16959, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "ok I see now", "session_id": 16959, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "the equation is (OA)(0.30)=48", "session_id": 16959, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "so for the first word problem can you think of an equation that could be used to solve?", "session_id": 16959, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "$48+.30=oa", "session_id": 16959, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "$48+30%=oa", "session_id": 16959, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "where did you get addition from in this?", "session_id": 16959, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "Oh sorry it\u2019s $48+(30%x$48)=oa", "session_id": 16959, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "Because I would have to add 30% of 48 to get the original aniun", "session_id": 16959, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "Amount", "session_id": 16959, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "Its gonna be 48 = 30 percent of the original amount", "session_id": 16959, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "so the original amount would be the greatest number", "session_id": 16959, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "do you know how to solve the equation given", "session_id": 16959, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "48x1.30=62.4", "session_id": 16959, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "Because 48 = 100%", "session_id": 16959, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "plus 30%", "session_id": 16959, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "130% =1.3", "session_id": 16959, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "Wait nevermind", "session_id": 16959, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "do you see what I wrote on the board?", "session_id": 16959, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "bro", "session_id": 16959, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 16959, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "ok so oa = 160", "session_id": 16959, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "Sorry I knew how to solve it I just had the wrong formula", "session_id": 16959, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "its ok", "session_id": 16959, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "I think this equation does work for the first one because the got a commission of 48 dollars with was 30 percent of the original amount, or $160", "session_id": 16959, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "does that make sense?", "session_id": 16959, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "Yea", "session_id": 16959, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "I thought about it too", "session_id": 16959, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "ok nice job", "session_id": 16959, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "now we can do the same thing for the second one", "session_id": 16959, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "do you think this equation works for the second one?", "session_id": 16959, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 16959, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "why", "session_id": 16959, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "does it tell you how many are supposed to be correct?", "session_id": 16959, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "because $48 is the discount and 30% off and if it\u2019s 30% off then that means $48 is 30% of the total amount", "session_id": 16959, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "ok yesssssss that's what I was thinking too!!!!!", "session_id": 16959, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "now for the third one", "session_id": 16959, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "No I don\u2019t think so, really because it sounds like $48 is the total price instead of 30% of the total price", "session_id": 16959, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "for the third one?", "session_id": 16959, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 16959, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "yea I think so too", "session_id": 16959, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "Ok now the last one?", "session_id": 16959, "sequence_id": 49, "annotations": []}
{"role": "student", "content": "So based on my knowledge, a markup is an increase in price, so they are referring $48 as a markup, even though it\u2019s a discount", "session_id": 16959, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "yea I noticed that too", "session_id": 16959, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "So I don't think that one applies", "session_id": 16959, "sequence_id": 52, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 16959, "sequence_id": 53, "annotations": []}
{"role": "student", "content": "And plus it kind of sounds like they are making $48 a while number", "session_id": 16959, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "correct", "session_id": 16959, "sequence_id": 55, "annotations": []}
{"role": "student", "content": "Whole", "session_id": 16959, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "So only the first and second one are correct answers.", "session_id": 16959, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "Is that the same thing you got?", "session_id": 16959, "sequence_id": 58, "annotations": []}
{"role": "student", "content": "No unfortunately not", "session_id": 16959, "sequence_id": 59, "annotations": []}
{"role": "student", "content": ":(", "session_id": 16959, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "oh what answers did you get?", "session_id": 16959, "sequence_id": 61, "annotations": []}
{"role": "student", "content": "1, 2, and 4", "session_id": 16959, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "ohh I see", "session_id": 16959, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "do you only have one try?", "session_id": 16959, "sequence_id": 64, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 16959, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "sorry", "session_id": 16959, "sequence_id": 66, "annotations": []}
{"role": "student", "content": "But it wouldn\u2019t really affect the score so much", "session_id": 16959, "sequence_id": 67, "annotations": []}
{"role": "student", "content": "So it\u2019s fine :)", "session_id": 16959, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "ok that's good", "session_id": 16959, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "is there anything else you need help with?", "session_id": 16959, "sequence_id": 70, "annotations": []}
{"role": "student", "content": "Nah I think I\u2019m good", "session_id": 16959, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "ok have a good day!!!", "session_id": 16959, "sequence_id": 72, "annotations": []}
{"role": "student", "content": "Ok! Byee", "session_id": 16959, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "byeeeee", "session_id": 16959, "sequence_id": 74, "annotations": []}
{"role": "student", "content": "Today we will be working on limits, I want to understand it fully and know how to work them out. I have problems we can work on, we've been using limit laws in class to work on them", "session_id": 16979, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "Hi.  How are you?", "session_id": 16979, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "I'm fine how are you?", "session_id": 16979, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "Good.  I see you are ready to work on limits.  Go ahead and I will help.", "session_id": 16979, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "i can't access the blackboard to write out the problems for some reasons", "session_id": 16979, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "Oh.  That makes it a bit more challenging.  So try to use these boxes to text would be the alternative.", "session_id": 16979, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "Do you want to turn on audio?", "session_id": 16979, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "but how will you be able to show me the steps? Can you see the blackboard?", "session_id": 16979, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "I just refreshed and now I can see it", "session_id": 16979, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "Can you see the mark I made on the blackboard?", "session_id": 16979, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "yes I just refreshed and now I can see", "session_id": 16979, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "Perhaps you can write as well.  Will you try?", "session_id": 16979, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "yope, I can", "session_id": 16979, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "How about audio?   Do you want to turn it on?  Sometimes it makes it easier", "session_id": 16979, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "Alright, I'll see if it's necessary later then I'll turn it on. But without further to do, first problem", "session_id": 16979, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "I turned on the audio on my end.", "session_id": 16979, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "okay", "session_id": 16979, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "So. How would you approach this?", "session_id": 16979, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "Wait let's change the problem, Ik this one", "session_id": 16979, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 16979, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "here", "session_id": 16979, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "Ok.  I see it.  Any thoughts?", "session_id": 16979, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "I would suggest that we are allowed to plug in without further work needed.  Do you agree?", "session_id": 16979, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "Alex, are you there?", "session_id": 16979, "sequence_id": 23, "annotations": [{"pii_type": "PERSON", "surrogate": "Alex", "start": 0, "end": 4}]}
{"role": "student", "content": "one minute, sorry I had to go somewhere rq", "session_id": 16979, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "No worries.", "session_id": 16979, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "yes we can plug Ig", "session_id": 16979, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "So what would you get?", "session_id": 16979, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "What is cos(pi/2)?", "session_id": 16979, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "honestly I kind of forgot my unit circle but one min let me think", "session_id": 16979, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "1?", "session_id": 16979, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "Cos(pi/2) is 0.  So the numerator is 0 and the denominator is a postive value.", "session_id": 16979, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "yes", "session_id": 16979, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "Answer should be 0", "session_id": 16979, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "so we don", "session_id": 16979, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "so we don't even have to find the bottom value since the top value is 0, right?", "session_id": 16979, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "Well.  We can compute it quite easliy and if you want we can, but it is clear that the numerator is 0 and the denominator is a positive value.", "session_id": 16979, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "Denominator would be (pi/2) + 4(pi^2/4) = (pi/2) + (pi)^2", "session_id": 16979, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "Please ask questions if something is not clear.", "session_id": 16979, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "can you write this down on the board, I'm more of a visual person", "session_id": 16979, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "Sure.", "session_id": 16979, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "Can you see it ok? It's not the neatest writing.", "session_id": 16979, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "sorry.  The last one should be fixed.", "session_id": 16979, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "Questions?", "session_id": 16979, "sequence_id": 43, "annotations": []}
{"role": "student", "content": "one min", "session_id": 16979, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "i'm looking over it", "session_id": 16979, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "and like we can't figure out the bottom line cause we don't know the exact values of pi correct?", "session_id": 16979, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "It could be simplified in another form, but wouldn't change anything.", "session_id": 16979, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "It is just a positive value, albeit an irrational one.", "session_id": 16979, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "yeah I understand it wouldn't change anything but I just want to get in the bottom of this because I might need to find a value like that in the future, who knows?", "session_id": 16979, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "Well.  I will put another form of the denominator out there for you, but in my opinion, this one is best.", "session_id": 16979, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "This one shows the denominator as yet another fraction, and in my opinion, sheds no new light on the problem.", "session_id": 16979, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "okay, thanks, next problem then", "session_id": 16979, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "Let me take a one minute bathroom break", "session_id": 16979, "sequence_id": 53, "annotations": []}
{"role": "student", "content": "okay", "session_id": 16979, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "I'm back", "session_id": 16979, "sequence_id": 55, "annotations": []}
{"role": "student", "content": "okay", "session_id": 16979, "sequence_id": 56, "annotations": []}
{"role": "student", "content": "how do we know for sure that this limit is -1? We didn't even plug anything", "session_id": 16979, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "Well.  In your class you're covering rules on limits.  You were probably told that the limit of a constant is the constant.  To prove some things would probably be outside the scope of your course.  However, if you think about it, the fact that x approaches 2 has no real relevance.", "session_id": 16979, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "Let me draw something that might help", "session_id": 16979, "sequence_id": 59, "annotations": []}
{"role": "student", "content": "okay", "session_id": 16979, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "Let me redraw this.  I am not happy with it.", "session_id": 16979, "sequence_id": 61, "annotations": []}
{"role": "student", "content": "okay", "session_id": 16979, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "So I am showing the graph of y = -1", "session_id": 16979, "sequence_id": 63, "annotations": []}
{"role": "student", "content": "yes", "session_id": 16979, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "Notice that no matter what value of x I choose, it does not change the fact that y = -1.  It is constant for all values of x.  I can approach any constant", "session_id": 16979, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "and the limit is still -1", "session_id": 16979, "sequence_id": 66, "annotations": []}
{"role": "student", "content": "okay", "session_id": 16979, "sequence_id": 67, "annotations": []}
{"role": "student", "content": "that makes sense", "session_id": 16979, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "A lot of this stuff is best thought of using common sense.", "session_id": 16979, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "The proofs of such things are long, boring and not that helpful", "session_id": 16979, "sequence_id": 70, "annotations": []}
{"role": "student", "content": "right", "session_id": 16979, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "Anything else?", "session_id": 16979, "sequence_id": 72, "annotations": []}
{"role": "student", "content": "yeah I'm writing it", "session_id": 16979, "sequence_id": 73, "annotations": []}
{"role": "student", "content": "can you do these steps?", "session_id": 16979, "sequence_id": 74, "annotations": []}
{"role": "volunteer", "content": "Well.  I was hoping you would suggest how to proceed.  What do you think?", "session_id": 16979, "sequence_id": 75, "annotations": []}
{"role": "student", "content": "I already know what to do, I just want to see how you do it so I can make sure that the steps are the same", "session_id": 16979, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "Ok.  I will put my work out there and a picture that may help you.", "session_id": 16979, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "It's a very bad drawing, but I hope you can see it and understand it.", "session_id": 16979, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "If you come close to x = 2, like 1.999, you will come very close to 12 as the limit.", "session_id": 16979, "sequence_id": 79, "annotations": []}
{"role": "student", "content": "yes", "session_id": 16979, "sequence_id": 80, "annotations": []}
{"role": "volunteer", "content": "If you come close from the other side, like 2.001, you will come very close to the limit of 12 as well.", "session_id": 16979, "sequence_id": 81, "annotations": []}
{"role": "volunteer", "content": "This is the logic of being able to just plug in.", "session_id": 16979, "sequence_id": 82, "annotations": []}
{"role": "student", "content": "okay but then why does the 3 come in front like why doesn't it just stay inside the parenthesis?", "session_id": 16979, "sequence_id": 83, "annotations": []}
{"role": "volunteer", "content": "It can.  Either way is fine.  But you make a valid point.  I agree with you.", "session_id": 16979, "sequence_id": 84, "annotations": []}
{"role": "volunteer", "content": "I was just trying to show multiplication with it being outside the parenthesis.", "session_id": 16979, "sequence_id": 85, "annotations": []}
{"role": "student", "content": "I'm asking that because even on my notes it shows this", "session_id": 16979, "sequence_id": 86, "annotations": []}
{"role": "volunteer", "content": "I see.  That way you are using the rule for a constant times a limit.", "session_id": 16979, "sequence_id": 87, "annotations": []}
{"role": "volunteer", "content": "You have given a much better answer.", "session_id": 16979, "sequence_id": 88, "annotations": []}
{"role": "student", "content": "based on this, it makes me think that I should be putting the numbers in front of parenthesis", "session_id": 16979, "sequence_id": 89, "annotations": []}
{"role": "volunteer", "content": "Did your teacher discuss a rule for the limit of a constant times an expression?", "session_id": 16979, "sequence_id": 90, "annotations": []}
{"role": "student", "content": "no, we just did geometric,summation, composition, quotient, and multiplication", "session_id": 16979, "sequence_id": 91, "annotations": []}
{"role": "volunteer", "content": "OK.  I see nothing wrong with what you have done.  If the point is to find the correct answer, then you can get to the result quite easily.  If you must justify each step as you go along, then care must be taken to use appropriate rules you have been given", "session_id": 16979, "sequence_id": 92, "annotations": []}
{"role": "volunteer", "content": "Do you have a list of limit rules to follow?", "session_id": 16979, "sequence_id": 93, "annotations": []}
{"role": "student", "content": "I don't have the list, but yeah when the questions says to explain we are expected to write them down", "session_id": 16979, "sequence_id": 94, "annotations": []}
{"role": "volunteer", "content": "I see.", "session_id": 16979, "sequence_id": 95, "annotations": []}
{"role": "volunteer", "content": "It sounds like you either have to memorize them or be given a list to choose from.", "session_id": 16979, "sequence_id": 96, "annotations": []}
{"role": "volunteer", "content": "I need to wrap up within 15 minutes.  How else can I help you?", "session_id": 16979, "sequence_id": 97, "annotations": []}
{"role": "student", "content": "oh okay then let's work on something else rq", "session_id": 16979, "sequence_id": 98, "annotations": []}
{"role": "volunteer", "content": "Ok", "session_id": 16979, "sequence_id": 99, "annotations": []}
{"role": "student", "content": "THis", "session_id": 16979, "sequence_id": 100, "annotations": []}
{"role": "volunteer", "content": "Let me read this for a minute", "session_id": 16979, "sequence_id": 101, "annotations": []}
{"role": "volunteer", "content": "Is there an x in the denominator on your first expression?", "session_id": 16979, "sequence_id": 102, "annotations": []}
{"role": "student", "content": "yes", "session_id": 16979, "sequence_id": 103, "annotations": []}
{"role": "volunteer", "content": "Ok", "session_id": 16979, "sequence_id": 104, "annotations": []}
{"role": "volunteer", "content": "Ok.  Do you have any thoughts on how you would proceed.  I can try to show what I would do.", "session_id": 16979, "sequence_id": 105, "annotations": []}
{"role": "student", "content": "I was abt to say 5/2, but i don't think it's right", "session_id": 16979, "sequence_id": 106, "annotations": []}
{"role": "volunteer", "content": "I got 15", "session_id": 16979, "sequence_id": 107, "annotations": []}
{"role": "student", "content": "how?", "session_id": 16979, "sequence_id": 108, "annotations": []}
{"role": "volunteer", "content": "I'll put my work out there", "session_id": 16979, "sequence_id": 109, "annotations": []}
{"role": "student", "content": "i can't scroll down", "session_id": 16979, "sequence_id": 110, "annotations": []}
{"role": "student", "content": "I can't see it cause i can't scroll any further :(", "session_id": 16979, "sequence_id": 111, "annotations": []}
{"role": "volunteer", "content": "I'm sorry.  The board doesn't seem to be working right now.", "session_id": 16979, "sequence_id": 112, "annotations": []}
{"role": "volunteer", "content": "Let me type my answers here", "session_id": 16979, "sequence_id": 113, "annotations": []}
{"role": "student", "content": "okay", "session_id": 16979, "sequence_id": 114, "annotations": []}
{"role": "student", "content": "just write it out, I'll come back in a sec, I have to go do smth important", "session_id": 16979, "sequence_id": 115, "annotations": []}
{"role": "volunteer", "content": "lim x=>6 f(x)/x = lim x=>6 lim(1/x)(lim(fx))", "session_id": 16979, "sequence_id": 116, "annotations": []}
{"role": "volunteer", "content": ") = 5 / (lim(1/x)", "session_id": 16979, "sequence_id": 117, "annotations": []}
{"role": "volunteer", "content": ") = 5 / (1/6) = 30", "session_id": 16979, "sequence_id": 118, "annotations": []}
{"role": "volunteer", "content": "lim x=> 6 f(x)/g(x) = 30 / 2 = 15", "session_id": 16979, "sequence_id": 119, "annotations": []}
{"role": "student", "content": "thanks for the pic, but I can't really see the right side can you zoom out a bit?", "session_id": 16979, "sequence_id": 120, "annotations": []}
{"role": "volunteer", "content": "I can't make it zoom any more.  Let me try to resend a cropped version", "session_id": 16979, "sequence_id": 121, "annotations": []}
{"role": "student", "content": "yea", "session_id": 16979, "sequence_id": 122, "annotations": []}
{"role": "volunteer", "content": "I can't do any better.", "session_id": 16979, "sequence_id": 123, "annotations": []}
{"role": "volunteer", "content": "I will make one more attempt to rewrite my work and upload it if you want.", "session_id": 16979, "sequence_id": 124, "annotations": []}
{"role": "student", "content": "okay thanks for everything", "session_id": 16979, "sequence_id": 125, "annotations": []}
{"role": "volunteer", "content": "See if you can see it please", "session_id": 16979, "sequence_id": 126, "annotations": []}
{"role": "volunteer", "content": "Any luck?", "session_id": 16979, "sequence_id": 127, "annotations": []}
{"role": "volunteer", "content": "Well.  I see that you are away.  I hope that you will be able to see my work on the last upload.  Unfortunately, I've got other committments now.  If you need more help, you can always put in another request.  Thanks!", "session_id": 16979, "sequence_id": 128, "annotations": []}
{"role": "volunteer", "content": "hello", "session_id": 17855, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "Hi, Good evening, SIr.", "session_id": 17855, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "It's not evening here.", "session_id": 17855, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "Sorry Good morning Sir*", "session_id": 17855, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "How may I help you?", "session_id": 17855, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "My bad I wrote that by mistake its 6 Am here sir. Sir I had a particular question. HOw to attach that question here, since I am new to this.", "session_id": 17855, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "If you have an image of the problem, there is an upload icon on your toolbar.  Do you see it?", "session_id": 17855, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "Yeah, got it sir. David", "session_id": 17855, "sequence_id": 7, "annotations": [{"pii_type": "PERSON", "surrogate": "David", "start": 18, "end": 23}]}
{"role": "student", "content": "Sir, I did the attachments, please tell me the process to takcle this.", "session_id": 17855, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "This doesn't look like a calculus question", "session_id": 17855, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "Sir, it's basically a range and domain question.", "session_id": 17855, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "OK.", "session_id": 17855, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "So, you know.", "session_id": 17855, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 17855, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "Sorry sir those were transcript errors", "session_id": 17855, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "I am so sorry for those, sir you could proceed telling the solutiuon sir.", "session_id": 17855, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "working backwards from 4, what do you think c would be", "session_id": 17855, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "So, I did the calculation and I got", "session_id": 17855, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "um", "session_id": 17855, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "that since this is", "session_id": 17855, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "a square root function.", "session_id": 17855, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "then that implies that this particular thing must be greater than equal to 0.", "session_id": 17855, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "So then solving this using the way curve method.", "session_id": 17855, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "I came to the", "session_id": 17855, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "uh conclusion that it has some ranges, so shall I tell those ranges here?", "session_id": 17855, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "Hello, sir are you here?", "session_id": 17855, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "I think there is some network issue then teacher shall I rejoin?", "session_id": 17855, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "Thanks, sir for help. I have to leave then rejoin the session , since it seems there is some network issues on the server", "session_id": 17855, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "Hi Maria! How's your day today?", "session_id": 18108, "sequence_id": 0, "annotations": [{"pii_type": "PERSON", "surrogate": "Maria", "start": 3, "end": 8}]}
{"role": "student", "content": "It\u2019s good what about you ", "session_id": 18108, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "I'm good! Thank you for asking!\nI see you have some questions about homework.", "session_id": 18108, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "Yes um I answered most of them but I have some that I need help with then after we can go over the questions and check if it\u2019s right ", "session_id": 18108, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "Alright sounds good! Can you upload the questions to the workspace?", "session_id": 18108, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "Yes ", "session_id": 18108, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "Alright, I see the question", "session_id": 18108, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "I uploaded one", "session_id": 18108, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "Would you be able to tell me what you are struggling with? It helps me to give you more focused advice", "session_id": 18108, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "I don\u2019t really know how to read a dot plot ", "session_id": 18108, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "Alright, that's totally fine! Can you tell me what you do know about dot plots?", "session_id": 18108, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "Wait sorry I meant box plots ", "session_id": 18108, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "I see. Can you tell me what you do know about box plots?", "session_id": 18108, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "Nothing really ", "session_id": 18108, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "That's okay! A box plot is based on five different numbers: the minimum, the 25th percentile, the median, the 75th percentile, and the maximum. Would you like me to expand on those terms a little bit more?", "session_id": 18108, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "Yes please ", "session_id": 18108, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "Alright. To start off, can you explain to me what the minimum, median, and maximum are?", "session_id": 18108, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "The meadian is the middle number ", "session_id": 18108, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "The maximum is the highest value ", "session_id": 18108, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "The minimum is the lowest value ", "session_id": 18108, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "Perfect! That's exactly right!", "session_id": 18108, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "Essentially, a box graph is split into two parts: the box in the middle and the two lines to the left and right. The box contains the middle 50% of the total data in the set, with the lines each containing 25%. The line in the middle of the box represents the median", "session_id": 18108, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "Would you like me to expand further?", "session_id": 18108, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "Just a bit more ", "session_id": 18108, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "Alright! Is there anything specific you are confused about?", "session_id": 18108, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "Just the box plot ", "session_id": 18108, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "So if there is a data set with 20 points, you want to find the point that's 25% of the way through the set, the median, and the 75% point. For example, the 1st point would be the minimum, the 5th point would be the 25% point, the 10th would be the median, the 15th would be the 75% point, and the 20th point would be the maximum.\n\nThe beginning of the box starts at the 25% point and the end at the 75% point.", "session_id": 18108, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "Ohhh ok", "session_id": 18108, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "Ok so to find the mean would I add all the# and devide by the # in the value", "session_id": 18108, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "Exactly! You would add up all the points and divide it by the number of points in the dataset.", "session_id": 18108, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "Ok give me a minute to add the numbers ", "session_id": 18108, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "Ok um I added all the numbers in the set that\u2019s in the white bored Ang got 32", "session_id": 18108, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "*and", "session_id": 18108, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "This is a pretty tricky one, but there is no actual answer for part A. Can you tell me why?", "session_id": 18108, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "I\u2019m not sure ", "session_id": 18108, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "To find the mean, you have to how many of each data point is in the set. What doesn't the box plot tell you about the points in the set.", "session_id": 18108, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "?*", "session_id": 18108, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "I added all the numbers was I just supposed to do the numbers that are touching the box plot ", "session_id": 18108, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "Not quite, but I do like your train of thought! The box plot doesn't tell you how many of each point is in the set, which is really important to know to calculate the mean. Therefore, you can't really  find the mean from a box plot.", "session_id": 18108, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "Oh ok", "session_id": 18108, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "So that answer the first question ", "session_id": 18108, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "Yup! Box plots don't say the mean unless there is a separate label that has \"mean\" written on it.", "session_id": 18108, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "Ok so how would I find the median on a box plot ", "session_id": 18108, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "The middle of the line on a box plot is a label for the median.", "session_id": 18108, "sequence_id": 43, "annotations": []}
{"role": "student", "content": "Oh ok so the median would be 34", "session_id": 18108, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "That's right!", "session_id": 18108, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "Ok thanks", "session_id": 18108, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "Do you have any other questions?", "session_id": 18108, "sequence_id": 47, "annotations": []}
{"role": "student", "content": "The last question is did the cross team ever scored 30 points at a meet", "session_id": 18108, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "I would say yes because the box plot is over 30", "session_id": 18108, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "Sorry, the image is too zoomed in for me to see the question and it looks like I can't zoom it out. Would you be able to shrink it down a little?", "session_id": 18108, "sequence_id": 50, "annotations": []}
{"role": "student", "content": "Sorry ", "session_id": 18108, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "All good!", "session_id": 18108, "sequence_id": 52, "annotations": []}
{"role": "student", "content": "Ok amazing  so was I right?", "session_id": 18108, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "Oops it looks like my connection went out for a little bit", "session_id": 18108, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "Now, the box plot, unlike the dot plot, does not specifically graph out data points. This means that just because the box plot goes over a number doesn't mean that number is part of the dataset.", "session_id": 18108, "sequence_id": 55, "annotations": []}
{"role": "student", "content": "Oh so does it not have a answer ", "session_id": 18108, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "It's impossible to know whether the score was ever 30, so the answer is neither yes nor no.", "session_id": 18108, "sequence_id": 57, "annotations": []}
{"role": "student", "content": "Oh ok got it so it won\u2019t have a number right ", "session_id": 18108, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "Yep!", "session_id": 18108, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "There's no answer to C.", "session_id": 18108, "sequence_id": 60, "annotations": []}
{"role": "student", "content": "Ok I just have one more thing can we go over another problem I already did it just want to see if it\u2019s correct ", "session_id": 18108, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "Alright that's fine!", "session_id": 18108, "sequence_id": 62, "annotations": []}
{"role": "student", "content": "It\u2019s in the whiteboard ", "session_id": 18108, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "D and E is right, but B has the box start in the incorrect values. What are the 25% and 75% points of the data set?", "session_id": 18108, "sequence_id": 64, "annotations": []}
{"role": "student", "content": "I have the answer for c", "session_id": 18108, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "Apologies, your graph was right! I made a mistake.", "session_id": 18108, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "Sorry about that.", "session_id": 18108, "sequence_id": 67, "annotations": []}
{"role": "student", "content": "It\u2019s ok", "session_id": 18108, "sequence_id": 68, "annotations": []}
{"role": "student", "content": "Did I do that box plot correctly ", "session_id": 18108, "sequence_id": 69, "annotations": []}
{"role": "student", "content": "Or did I miss something ", "session_id": 18108, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "Yep it's right!", "session_id": 18108, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "What was your answer for C?", "session_id": 18108, "sequence_id": 72, "annotations": []}
{"role": "student", "content": "That the box plot doesn\u2019t tell you what of each point in the data set", "session_id": 18108, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "Not quite! C is asking what the box plot gives that the dot plot doesn't. What are some things that only the box plot has?", "session_id": 18108, "sequence_id": 74, "annotations": []}
{"role": "student", "content": "Oh", "session_id": 18108, "sequence_id": 75, "annotations": []}
{"role": "student", "content": "Ok so the box plot represents the 5#summary", "session_id": 18108, "sequence_id": 76, "annotations": []}
{"role": "student", "content": "And the dot plot doesn\u2019t ", "session_id": 18108, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "Couldn't have said it better myself!", "session_id": 18108, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "Unfortunately I do have to leave soon. Do you have any final questions?", "session_id": 18108, "sequence_id": 79, "annotations": []}
{"role": "student", "content": "Amazing thank you and that\u2019s all", "session_id": 18108, "sequence_id": 80, "annotations": []}
{"role": "student", "content": "Hope you have a nice night ", "session_id": 18108, "sequence_id": 81, "annotations": []}
{"role": "volunteer", "content": "You too Maria!", "session_id": 18108, "sequence_id": 82, "annotations": [{"pii_type": "PERSON", "surrogate": "Maria", "start": 8, "end": 13}]}
{"role": "volunteer", "content": "Hi Emily.", "session_id": 18203, "sequence_id": 0, "annotations": [{"pii_type": "PERSON", "surrogate": "Emily", "start": 3, "end": 8}]}
{"role": "student", "content": "Helllo!", "session_id": 18203, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "I need help with this", "session_id": 18203, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "Have you checked on how to do a whisker plot?", "session_id": 18203, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "I know of a whisker plot but like idk how to do this like how would I do this", "session_id": 18203, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "What if you click on the link? But the first thing will be to sort your data, which you could to on your calculator or google sheet or just rewrite them in order", "session_id": 18203, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "Also, it says \"using the tool provided\" so there is probably something there to do it.", "session_id": 18203, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "I did", "session_id": 18203, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "i have to move the whiskers", "session_id": 18203, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "Ah. So you need the scores in order.", "session_id": 18203, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "Can you use the send data to calculator?", "session_id": 18203, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "Or just start writing them here in order", "session_id": 18203, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "Idk like idk how to solve this lol", "session_id": 18203, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "ill press explanation and ss", "session_id": 18203, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "I'm helping you on how to start. Get the data in order first", "session_id": 18203, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "this is how u do it", "session_id": 18203, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "Good. So see how you have to list the values in order first?", "session_id": 18203, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 18203, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "The idea is that the box encloses the middle 50% of the values", "session_id": 18203, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "Ok lets start", "session_id": 18203, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "And the middle line shows the median, the middle value.", "session_id": 18203, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "WRite or type the values in order", "session_id": 18203, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "Ok", "session_id": 18203, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "25, 27, 28, 30, 31, 36, 36, 39, 40, 41, 42, 43, 46, 50, 56, 57, 58", "session_id": 18203, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "OK, great. How many points are there?", "session_id": 18203, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "17", "session_id": 18203, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "So which one will be the median?", "session_id": 18203, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "let me see", "session_id": 18203, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "43?", "session_id": 18203, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "It would be the middle one.", "session_id": 18203, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "There are 17 total, so that would put 8 on the low end, 8 on the top end, and 1 in the middle, or the 9th value.", "session_id": 18203, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "What's the 9th value?", "session_id": 18203, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "its not 43?", "session_id": 18203, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "That's the 11th one.", "session_id": 18203, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "40", "session_id": 18203, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "Right", "session_id": 18203, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "SO that is the median", "session_id": 18203, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "so i would put the black middle dot at 40", "session_id": 18203, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "Right.", "session_id": 18203, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "ok next", "session_id": 18203, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "Now there are 8 values above and 8 values below. The Box quest from Q1 to Q3, which means", "session_id": 18203, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "the min is 25", "session_id": 18203, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "it will contain the middle half of the numbers.", "session_id": 18203, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "Max is 58", "session_id": 18203, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "Yes, so you can put the whiskers there.", "session_id": 18203, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "mhm", "session_id": 18203, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "Q1 will be there are 1/4 of the scores, 17/4 = 4+, so you would put it between 30 and 31", "session_id": 18203, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "So now you have 4 groups of 4 plus an extra one. The lower quarter is 25-30, the 2nd is 31-40, the 3rd is 40-46, and the top is 50-58", "session_id": 18203, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "Does that make sense?", "session_id": 18203, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "so we have to make it equal?", "session_id": 18203, "sequence_id": 49, "annotations": []}
{"role": "student", "content": "yeah it makes sense", "session_id": 18203, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "The whole idea of quartiles is to divide the scores into 4 equal-size groups.", "session_id": 18203, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "ok", "session_id": 18203, "sequence_id": 52, "annotations": []}
{"role": "student", "content": "ok so i see them", "session_id": 18203, "sequence_id": 53, "annotations": []}
{"role": "student", "content": "so first quart is at 30?", "session_id": 18203, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "So this gives us an idea of how far apart the scores are spread. If you have only 17 scores you can look at them and get an idea, but if you have 17,000 scores you need something like a box plot to show the data.", "session_id": 18203, "sequence_id": 55, "annotations": []}
{"role": "student", "content": "ok", "session_id": 18203, "sequence_id": 56, "annotations": []}
{"role": "student", "content": "Q3 is at 46", "session_id": 18203, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "I would put it at 48 between 46 and 50", "session_id": 18203, "sequence_id": 58, "annotations": []}
{"role": "student", "content": "well idk if it'll be wrong bc i have to submit it and it tells me if its right or not soo idkk", "session_id": 18203, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "Look at the example again then to see how they did it.", "session_id": 18203, "sequence_id": 60, "annotations": []}
{"role": "student", "content": "thats how they do it", "session_id": 18203, "sequence_id": 61, "annotations": []}
{"role": "student", "content": "its the exact number", "session_id": 18203, "sequence_id": 62, "annotations": []}
{"role": "student", "content": "can u see it", "session_id": 18203, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "See, it says the third quartile is the median of the opper half of the data.", "session_id": 18203, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "We have an even number in the upper half, 8 scores, so the median is between the 4th and 5th scores.", "session_id": 18203, "sequence_id": 65, "annotations": []}
{"role": "student", "content": "so its wrong?", "session_id": 18203, "sequence_id": 66, "annotations": []}
{"role": "student", "content": "its not 31 and 46?", "session_id": 18203, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "Q1 would be 30.5 and Q3 would be 48 because those divide the top 8 and the bottom 8 scores", "session_id": 18203, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "If there were an odd number above the median, we'd use the middle score in the top. But when there are an even number of scores, the median is the average of the middle two. So half way between them.", "session_id": 18203, "sequence_id": 69, "annotations": []}
{"role": "student", "content": "i dont get this", "session_id": 18203, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "OK, think of this: what is the median of", "session_id": 18203, "sequence_id": 71, "annotations": []}
{"role": "student", "content": "wait so", "session_id": 18203, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "1 5 8 9", "session_id": 18203, "sequence_id": 73, "annotations": []}
{"role": "student", "content": "since the median is an even number we use .5 for Q1?", "session_id": 18203, "sequence_id": 74, "annotations": []}
{"role": "student", "content": "if it was a odd number we wouldn't dxo the .5", "session_id": 18203, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "not exactly but you're getting there. What is the median of 1 5 8 9?", "session_id": 18203, "sequence_id": 76, "annotations": []}
{"role": "student", "content": "there wouldn't be one?", "session_id": 18203, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "That's one answer but it's awkward not to have one. So we use the \"middle\"", "session_id": 18203, "sequence_id": 78, "annotations": []}
{"role": "student", "content": "8", "session_id": 18203, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "The middle is halfway between 5 and 8", "session_id": 18203, "sequence_id": 80, "annotations": []}
{"role": "volunteer", "content": "Halfway is (8+5)/2 or 6.5. 6.5 is 1.5 above 5 and 1.5 below 8", "session_id": 18203, "sequence_id": 81, "annotations": []}
{"role": "volunteer", "content": "That's just a way they define the median so it represents the idea of half the numbers above and half below.", "session_id": 18203, "sequence_id": 82, "annotations": []}
{"role": "student", "content": "well i put the answer in already and it said all of them are incorrect", "session_id": 18203, "sequence_id": 83, "annotations": []}
{"role": "volunteer", "content": "What numbers did you put in?", "session_id": 18203, "sequence_id": 84, "annotations": []}
{"role": "student", "content": "min- 25", "session_id": 18203, "sequence_id": 85, "annotations": []}
{"role": "student", "content": "max-58", "session_id": 18203, "sequence_id": 86, "annotations": []}
{"role": "student", "content": "Q1-31.5", "session_id": 18203, "sequence_id": 87, "annotations": []}
{"role": "student", "content": "Median-40", "session_id": 18203, "sequence_id": 88, "annotations": []}
{"role": "student", "content": "Q3-46", "session_id": 18203, "sequence_id": 89, "annotations": []}
{"role": "volunteer", "content": "and 58 max?", "session_id": 18203, "sequence_id": 90, "annotations": []}
{"role": "student", "content": "mhm", "session_id": 18203, "sequence_id": 91, "annotations": []}
{"role": "volunteer", "content": "Remember I said 48 should be Q3", "session_id": 18203, "sequence_id": 92, "annotations": []}
{"role": "student", "content": "\"The first quartile is not correct.\nThe median is not correct.\nThe third quartile is not correct.\nThe maximum is not correct.\"", "session_id": 18203, "sequence_id": 93, "annotations": []}
{"role": "student", "content": "oh", "session_id": 18203, "sequence_id": 94, "annotations": []}
{"role": "volunteer", "content": "How could the maximum be wrong?", "session_id": 18203, "sequence_id": 95, "annotations": []}
{"role": "student", "content": "im gonna work on a dif problem this one is just too confusing", "session_id": 18203, "sequence_id": 96, "annotations": []}
{"role": "volunteer", "content": "oh, there is a 59! You copied the numbers wrong.", "session_id": 18203, "sequence_id": 97, "annotations": []}
{"role": "volunteer", "content": "You know how to do it now, you just got the wrong numbers.", "session_id": 18203, "sequence_id": 98, "annotations": []}
{"role": "student", "content": "ill come back to it later", "session_id": 18203, "sequence_id": 99, "annotations": []}
{"role": "student", "content": "so like how would i solve this", "session_id": 18203, "sequence_id": 100, "annotations": []}
{"role": "volunteer", "content": "I don't see anything yet", "session_id": 18203, "sequence_id": 101, "annotations": []}
{"role": "student", "content": "can u now", "session_id": 18203, "sequence_id": 102, "annotations": []}
{"role": "volunteer", "content": "Yes", "session_id": 18203, "sequence_id": 103, "annotations": []}
{"role": "student", "content": "ok", "session_id": 18203, "sequence_id": 104, "annotations": []}
{"role": "volunteer", "content": "So what does compounded mean?", "session_id": 18203, "sequence_id": 105, "annotations": []}
{"role": "student", "content": "uh idk", "session_id": 18203, "sequence_id": 106, "annotations": []}
{"role": "student", "content": "tbh", "session_id": 18203, "sequence_id": 107, "annotations": []}
{"role": "volunteer", "content": "Click the link", "session_id": 18203, "sequence_id": 108, "annotations": []}
{"role": "student", "content": "If the interest is added to the principal, and this new amount earns interest, then the interest has been compounded. We use the method of compound interest to calculate the new amount after each period.", "session_id": 18203, "sequence_id": 109, "annotations": []}
{"role": "volunteer", "content": "Right. So let's see what happens for David first. He deposits 80,000. How much interest does he get at the end of the first year?", "session_id": 18203, "sequence_id": 110, "annotations": [{"pii_type": "PERSON", "surrogate": "David", "start": 37, "end": 42}]}
{"role": "volunteer", "content": "What is 1% of 80,000?", "session_id": 18203, "sequence_id": 111, "annotations": []}
{"role": "student", "content": "800", "session_id": 18203, "sequence_id": 112, "annotations": []}
{"role": "volunteer", "content": "Exactly. So what is 4%", "session_id": 18203, "sequence_id": 113, "annotations": []}
{"role": "student", "content": "3200?", "session_id": 18203, "sequence_id": 114, "annotations": []}
{"role": "volunteer", "content": "Sure, 4 x 8  = 32", "session_id": 18203, "sequence_id": 115, "annotations": []}
{"role": "student", "content": "i did 80,000 times 0.04", "session_id": 18203, "sequence_id": 116, "annotations": []}
{"role": "volunteer", "content": "Yes, but you can also do it in your head \ud83d\ude00 So that is how much David earns the first year.", "session_id": 18203, "sequence_id": 117, "annotations": [{"pii_type": "PERSON", "surrogate": "David", "start": 63, "end": 68}]}
{"role": "student", "content": "and then for heather?", "session_id": 18203, "sequence_id": 118, "annotations": []}
{"role": "volunteer", "content": "Now David's \"principal\", the money he deposited, is 80,000. So with simple interest, he will *always* get the same amount", "session_id": 18203, "sequence_id": 119, "annotations": [{"pii_type": "PERSON", "surrogate": "David", "start": 4, "end": 9}]}
{"role": "student", "content": "they have the same interest rate", "session_id": 18203, "sequence_id": 120, "annotations": []}
{"role": "student", "content": "just diff type of interest shes compound and hes simpler", "session_id": 18203, "sequence_id": 121, "annotations": []}
{"role": "volunteer", "content": "Sarah also earns at the end of the first year.", "session_id": 18203, "sequence_id": 122, "annotations": [{"pii_type": "PERSON", "surrogate": "Sarah", "start": 0, "end": 5}]}
{"role": "volunteer", "content": "So how much money does she have at the end, 80000 + 3200?", "session_id": 18203, "sequence_id": 123, "annotations": []}
{"role": "student", "content": "83200", "session_id": 18203, "sequence_id": 124, "annotations": []}
{"role": "volunteer", "content": "Right. At the end of the second year, she gets 4% of *that*", "session_id": 18203, "sequence_id": 125, "annotations": []}
{"role": "student", "content": "so 83200 times 0.04?", "session_id": 18203, "sequence_id": 126, "annotations": []}
{"role": "volunteer", "content": "perfect", "session_id": 18203, "sequence_id": 127, "annotations": []}
{"role": "volunteer", "content": "I can't do that in my head lol", "session_id": 18203, "sequence_id": 128, "annotations": []}
{"role": "volunteer", "content": "So now she has 83200 + 3328", "session_id": 18203, "sequence_id": 129, "annotations": []}
{"role": "student", "content": "i add it again?", "session_id": 18203, "sequence_id": 130, "annotations": []}
{"role": "volunteer", "content": "Yes, then finally figure the interest for the 3rd year and add that to get the final", "session_id": 18203, "sequence_id": 131, "annotations": []}
{"role": "student", "content": "Ok", "session_id": 18203, "sequence_id": 132, "annotations": []}
{"role": "volunteer", "content": "So while poor David is still only getting interest on his original 80,000 forever, by the 4th year Sarah will be getting it on 86528", "session_id": 18203, "sequence_id": 133, "annotations": [{"pii_type": "PERSON", "surrogate": "David", "start": 14, "end": 19}, {"pii_type": "PERSON", "surrogate": "Sarah", "start": 99, "end": 104}]}
{"role": "student", "content": "so i do 86528 times 0.04", "session_id": 18203, "sequence_id": 134, "annotations": []}
{"role": "student", "content": "for third year?", "session_id": 18203, "sequence_id": 135, "annotations": []}
{"role": "volunteer", "content": "Right.", "session_id": 18203, "sequence_id": 136, "annotations": []}
{"role": "student", "content": "ok take a look at my math", "session_id": 18203, "sequence_id": 137, "annotations": []}
{"role": "student", "content": "ill work on David now", "session_id": 18203, "sequence_id": 138, "annotations": [{"pii_type": "PERSON", "surrogate": "David", "start": 12, "end": 17}]}
{"role": "volunteer", "content": "For David you only need how much he earns each year and it's always 3200", "session_id": 18203, "sequence_id": 139, "annotations": [{"pii_type": "PERSON", "surrogate": "David", "start": 4, "end": 9}]}
{"role": "student", "content": "oh i did mine totally diff", "session_id": 18203, "sequence_id": 140, "annotations": []}
{"role": "student", "content": "oh i see", "session_id": 18203, "sequence_id": 141, "annotations": []}
{"role": "volunteer", "content": "You see now?", "session_id": 18203, "sequence_id": 142, "annotations": []}
{"role": "volunteer", "content": "And you see why compound interest is better (if you're getting it, not paying it)?", "session_id": 18203, "sequence_id": 143, "annotations": []}
{"role": "student", "content": "yes", "session_id": 18203, "sequence_id": 144, "annotations": []}
{"role": "student", "content": "my math is correct for heather?", "session_id": 18203, "sequence_id": 145, "annotations": []}
{"role": "volunteer", "content": "Be careful putting in the answers because they are asking only about the interest", "session_id": 18203, "sequence_id": 146, "annotations": []}
{"role": "volunteer", "content": "Yes.", "session_id": 18203, "sequence_id": 147, "annotations": []}
{"role": "student", "content": "Ok I'm gonna plug my answers in rn", "session_id": 18203, "sequence_id": 148, "annotations": []}
{"role": "volunteer", "content": "Wait", "session_id": 18203, "sequence_id": 149, "annotations": []}
{"role": "student", "content": "hm", "session_id": 18203, "sequence_id": 150, "annotations": []}
{"role": "volunteer", "content": "BE sure to use the interest, not the numbers you put in the boxes", "session_id": 18203, "sequence_id": 151, "annotations": []}
{"role": "volunteer", "content": "3200, 3328, 3461.12", "session_id": 18203, "sequence_id": 152, "annotations": []}
{"role": "student", "content": "whats the math that i'd do for that", "session_id": 18203, "sequence_id": 153, "annotations": []}
{"role": "student", "content": "to get those numbers", "session_id": 18203, "sequence_id": 154, "annotations": []}
{"role": "student", "content": "so i put those numbers instead", "session_id": 18203, "sequence_id": 155, "annotations": []}
{"role": "volunteer", "content": "Yes, you calculated the *interest* for each year, and that's what they're asking for", "session_id": 18203, "sequence_id": 156, "annotations": []}
{"role": "student", "content": "ok", "session_id": 18203, "sequence_id": 157, "annotations": []}
{"role": "student", "content": "is everything correct now?", "session_id": 18203, "sequence_id": 158, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 18203, "sequence_id": 159, "annotations": []}
{"role": "student", "content": "I ave another one", "session_id": 18203, "sequence_id": 160, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 18203, "sequence_id": 161, "annotations": []}
{"role": "volunteer", "content": "That's essentially the same problem just a different principal, 90,000", "session_id": 18203, "sequence_id": 162, "annotations": []}
{"role": "volunteer", "content": "and interest 3%", "session_id": 18203, "sequence_id": 163, "annotations": []}
{"role": "student", "content": "yep", "session_id": 18203, "sequence_id": 164, "annotations": []}
{"role": "student", "content": "i need help with the third year", "session_id": 18203, "sequence_id": 165, "annotations": []}
{"role": "volunteer", "content": "You have a mistake because you're using 4% for the 2nd and 3rd years", "session_id": 18203, "sequence_id": 166, "annotations": []}
{"role": "student", "content": "oh right", "session_id": 18203, "sequence_id": 167, "annotations": []}
{"role": "student", "content": "ok but what number", "session_id": 18203, "sequence_id": 168, "annotations": []}
{"role": "student", "content": "would i do to multiply by 0.03", "session_id": 18203, "sequence_id": 169, "annotations": []}
{"role": "volunteer", "content": "You got the first year interest right? 90,000 x 0.03", "session_id": 18203, "sequence_id": 170, "annotations": []}
{"role": "student", "content": "mhm", "session_id": 18203, "sequence_id": 171, "annotations": []}
{"role": "volunteer", "content": "Then you said the total will be 92700 so you multiplied that by 0.03.", "session_id": 18203, "sequence_id": 172, "annotations": []}
{"role": "student", "content": "ok", "session_id": 18203, "sequence_id": 173, "annotations": []}
{"role": "student", "content": "yeahi calculated again", "session_id": 18203, "sequence_id": 174, "annotations": []}
{"role": "volunteer", "content": "So what will the total be at the end of the 2nd year? 92700 + 2781, right?", "session_id": 18203, "sequence_id": 175, "annotations": []}
{"role": "student", "content": "im talkin about for 3rd", "session_id": 18203, "sequence_id": 176, "annotations": []}
{"role": "student", "content": "ok", "session_id": 18203, "sequence_id": 177, "annotations": []}
{"role": "student", "content": "95481", "session_id": 18203, "sequence_id": 178, "annotations": []}
{"role": "volunteer", "content": "Right. So that's how much she has in the bank for the third year, and her interest for the third year will be that * 0.03", "session_id": 18203, "sequence_id": 179, "annotations": []}
{"role": "student", "content": "2864.43", "session_id": 18203, "sequence_id": 180, "annotations": []}
{"role": "volunteer", "content": "Right", "session_id": 18203, "sequence_id": 181, "annotations": []}
{"role": "student", "content": "everything correct?", "session_id": 18203, "sequence_id": 182, "annotations": []}
{"role": "volunteer", "content": "Compound interest will ALWAYS be more after the first period.", "session_id": 18203, "sequence_id": 183, "annotations": []}
{"role": "volunteer", "content": "Yes", "session_id": 18203, "sequence_id": 184, "annotations": []}
{"role": "student", "content": "i have one more question", "session_id": 18203, "sequence_id": 185, "annotations": []}
{"role": "volunteer", "content": "Great.", "session_id": 18203, "sequence_id": 186, "annotations": []}
{"role": "student", "content": "for bottom secon year part what number we use?", "session_id": 18203, "sequence_id": 187, "annotations": []}
{"role": "volunteer", "content": "Think about the meaning of the numbers. What are you looking for?", "session_id": 18203, "sequence_id": 188, "annotations": []}
{"role": "volunteer", "content": "So at the end of the 2nd year you have $10204", "session_id": 18203, "sequence_id": 189, "annotations": []}
{"role": "student", "content": "ok", "session_id": 18203, "sequence_id": 190, "annotations": []}
{"role": "student", "content": "take a look at my math", "session_id": 18203, "sequence_id": 191, "annotations": []}
{"role": "volunteer", "content": "Right! You always have to keep in mind the meaning of the numbers or you'll get lost.", "session_id": 18203, "sequence_id": 192, "annotations": []}
{"role": "student", "content": "its wrong", "session_id": 18203, "sequence_id": 193, "annotations": []}
{"role": "volunteer", "content": "The third one is wrong", "session_id": 18203, "sequence_id": 194, "annotations": []}
{"role": "student", "content": "doesnt say which it just says its incorrect", "session_id": 18203, "sequence_id": 195, "annotations": []}
{"role": "student", "content": "ok what did i do wrong", "session_id": 18203, "sequence_id": 196, "annotations": []}
{"role": "volunteer", "content": "At the end of the 2nd year you have 10200 + 204 = 10404", "session_id": 18203, "sequence_id": 197, "annotations": []}
{"role": "volunteer", "content": "See?", "session_id": 18203, "sequence_id": 198, "annotations": []}
{"role": "student", "content": "mhm", "session_id": 18203, "sequence_id": 199, "annotations": []}
{"role": "volunteer", "content": "Want to see how to do it quickly on a spreadsheet? Have you ever used one?", "session_id": 18203, "sequence_id": 200, "annotations": []}
{"role": "student", "content": "still wron", "session_id": 18203, "sequence_id": 201, "annotations": []}
{"role": "student", "content": "omgg it was bc kevins is compound", "session_id": 18203, "sequence_id": 202, "annotations": []}
{"role": "volunteer", "content": "What we did wrong was not checking the instructions carefully. This time the FIRST one is simple and the second is compound.", "session_id": 18203, "sequence_id": 203, "annotations": []}
{"role": "student", "content": "i put it in the wrong spot", "session_id": 18203, "sequence_id": 204, "annotations": []}
{"role": "student", "content": "i know", "session_id": 18203, "sequence_id": 205, "annotations": []}
{"role": "volunteer", "content": "Kind of a trick question but good to remind us to read carefully.", "session_id": 18203, "sequence_id": 206, "annotations": []}
{"role": "student", "content": "is this correct so far", "session_id": 18203, "sequence_id": 207, "annotations": []}
{"role": "volunteer", "content": "Yes. See the way I put it into a table.", "session_id": 18203, "sequence_id": 208, "annotations": []}
{"role": "student", "content": "mhm", "session_id": 18203, "sequence_id": 209, "annotations": []}
{"role": "student", "content": "can u check my last one", "session_id": 18203, "sequence_id": 210, "annotations": []}
{"role": "student", "content": "nvm its right lol", "session_id": 18203, "sequence_id": 211, "annotations": []}
{"role": "student", "content": "ok i have one more question if i get this one right", "session_id": 18203, "sequence_id": 212, "annotations": []}
{"role": "student", "content": "like the next one right", "session_id": 18203, "sequence_id": 213, "annotations": []}
{"role": "volunteer", "content": "OK.", "session_id": 18203, "sequence_id": 214, "annotations": []}
{"role": "volunteer", "content": "Yes", "session_id": 18203, "sequence_id": 215, "annotations": []}
{"role": "student", "content": ":)", "session_id": 18203, "sequence_id": 216, "annotations": []}
{"role": "student", "content": "do you still have time?", "session_id": 18203, "sequence_id": 217, "annotations": []}
{"role": "volunteer", "content": "Want to see how to do it quickly on a spreadsheet? Yes, I do have some time.", "session_id": 18203, "sequence_id": 218, "annotations": []}
{"role": "student", "content": "Ok I have a new problem", "session_id": 18203, "sequence_id": 219, "annotations": []}
{"role": "student", "content": "And sure", "session_id": 18203, "sequence_id": 220, "annotations": []}
{"role": "student", "content": "I just color code so I can differentiate", "session_id": 18203, "sequence_id": 221, "annotations": []}
{"role": "volunteer", "content": "I'll screen share and show you", "session_id": 18203, "sequence_id": 222, "annotations": []}
{"role": "student", "content": "ok", "session_id": 18203, "sequence_id": 223, "annotations": []}
{"role": "student", "content": "let me know when you screenshared", "session_id": 18203, "sequence_id": 224, "annotations": []}
{"role": "volunteer", "content": "Can you see it?", "session_id": 18203, "sequence_id": 225, "annotations": []}
{"role": "student", "content": "i see it", "session_id": 18203, "sequence_id": 226, "annotations": []}
{"role": "student", "content": "Ohh I see yeah Ik how to use excel a little", "session_id": 18203, "sequence_id": 227, "annotations": []}
{"role": "volunteer", "content": "OK, did you see how I typed the formula in A1?", "session_id": 18203, "sequence_id": 228, "annotations": []}
{"role": "volunteer", "content": "This is the same. I typed", "session_id": 18203, "sequence_id": 229, "annotations": []}
{"role": "volunteer", "content": "=A2*0.04  to get the interest", "session_id": 18203, "sequence_id": 230, "annotations": []}
{"role": "volunteer", "content": "OK?", "session_id": 18203, "sequence_id": 231, "annotations": []}
{"role": "student", "content": "Mhm", "session_id": 18203, "sequence_id": 232, "annotations": []}
{"role": "volunteer", "content": "So in A3, for year 2, I add A1 + A2, the start + interest, right?", "session_id": 18203, "sequence_id": 233, "annotations": []}
{"role": "volunteer", "content": "Got it?", "session_id": 18203, "sequence_id": 234, "annotations": []}
{"role": "student", "content": "Yep", "session_id": 18203, "sequence_id": 235, "annotations": []}
{"role": "volunteer", "content": "Now I just have to duplicate the cells to get the rest", "session_id": 18203, "sequence_id": 236, "annotations": []}
{"role": "volunteer", "content": "Simply use ctl-d to duplicate the cell above.", "session_id": 18203, "sequence_id": 237, "annotations": []}
{"role": "volunteer", "content": "It automatically adjusts the references.", "session_id": 18203, "sequence_id": 238, "annotations": []}
{"role": "volunteer", "content": "so view the results", "session_id": 18203, "sequence_id": 239, "annotations": []}
{"role": "student", "content": "Yep", "session_id": 18203, "sequence_id": 240, "annotations": []}
{"role": "student", "content": "I see", "session_id": 18203, "sequence_id": 241, "annotations": []}
{"role": "volunteer", "content": "That's how fast it is. ONce you have the model, you just change the starting amount and the interest", "session_id": 18203, "sequence_id": 242, "annotations": []}
{"role": "volunteer", "content": "So you've solved a new problem in no time.", "session_id": 18203, "sequence_id": 243, "annotations": []}
{"role": "volunteer", "content": "OK, you said you had one more problem?", "session_id": 18203, "sequence_id": 244, "annotations": []}
{"role": "student", "content": "Well its a new set of problems", "session_id": 18203, "sequence_id": 245, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 18203, "sequence_id": 246, "annotations": []}
{"role": "student", "content": "heres the formual and an example of the number splugged in", "session_id": 18203, "sequence_id": 247, "annotations": []}
{"role": "volunteer", "content": "OK, I don't know about annuities but I see the formula.", "session_id": 18203, "sequence_id": 248, "annotations": []}
{"role": "student", "content": "I will be right back, I need to throw something away", "session_id": 18203, "sequence_id": 249, "annotations": []}
{"role": "volunteer", "content": "So you just want to solve that equation for M", "session_id": 18203, "sequence_id": 250, "annotations": []}
{"role": "student", "content": "Ok I'm back", "session_id": 18203, "sequence_id": 251, "annotations": []}
{"role": "volunteer", "content": "M is what they want to know, so use the equation to get M", "session_id": 18203, "sequence_id": 252, "annotations": []}
{"role": "student", "content": "Ok", "session_id": 18203, "sequence_id": 253, "annotations": []}
{"role": "student", "content": "whats the number for each quarter?", "session_id": 18203, "sequence_id": 254, "annotations": []}
{"role": "volunteer", "content": "The formula says \"N is the number of times a year the interest is compounded\"", "session_id": 18203, "sequence_id": 255, "annotations": []}
{"role": "volunteer", "content": "So ... if it's compounded quarterly, how many times is that?", "session_id": 18203, "sequence_id": 256, "annotations": []}
{"role": "student", "content": "t is 13", "session_id": 18203, "sequence_id": 257, "annotations": []}
{"role": "student", "content": "4?", "session_id": 18203, "sequence_id": 258, "annotations": []}
{"role": "volunteer", "content": "right", "session_id": 18203, "sequence_id": 259, "annotations": []}
{"role": "volunteer", "content": "Sure, quarterly means 4 times a year", "session_id": 18203, "sequence_id": 260, "annotations": []}
{"role": "volunteer", "content": "Have you rewritten the formula to solve for M?", "session_id": 18203, "sequence_id": 261, "annotations": []}
{"role": "student", "content": "so i do", "session_id": 18203, "sequence_id": 262, "annotations": []}
{"role": "student", "content": "0.13+1?", "session_id": 18203, "sequence_id": 263, "annotations": []}
{"role": "volunteer", "content": "For a complicated formula like this I would calculate the parts first.", "session_id": 18203, "sequence_id": 264, "annotations": []}
{"role": "student", "content": "I like to do step by step", "session_id": 18203, "sequence_id": 265, "annotations": []}
{"role": "volunteer", "content": "That's what I mean. But if you label your pieces then you won't get mixed up", "session_id": 18203, "sequence_id": 266, "annotations": []}
{"role": "student", "content": "0.06/4", "session_id": 18203, "sequence_id": 267, "annotations": []}
{"role": "student", "content": "i mean 0.13", "session_id": 18203, "sequence_id": 268, "annotations": []}
{"role": "volunteer", "content": "You havent labeled it so I don't know what you're doing", "session_id": 18203, "sequence_id": 269, "annotations": []}
{"role": "student", "content": "Ok", "session_id": 18203, "sequence_id": 270, "annotations": []}
{"role": "student", "content": "here's what i have", "session_id": 18203, "sequence_id": 271, "annotations": []}
{"role": "volunteer", "content": "Looks right", "session_id": 18203, "sequence_id": 272, "annotations": []}
{"role": "volunteer", "content": "But not the final step.", "session_id": 18203, "sequence_id": 273, "annotations": []}
{"role": "volunteer", "content": "If you call the complicated part Z, then the formula is A = MZ", "session_id": 18203, "sequence_id": 274, "annotations": []}
{"role": "volunteer", "content": "But you want M, right? What is M then?", "session_id": 18203, "sequence_id": 275, "annotations": []}
{"role": "volunteer", "content": "Also, it would not make sense for them to pay $12000 every quarter for 13 years ...", "session_id": 18203, "sequence_id": 276, "annotations": []}
{"role": "student", "content": "m is 12000", "session_id": 18203, "sequence_id": 277, "annotations": []}
{"role": "student", "content": "oh i see", "session_id": 18203, "sequence_id": 278, "annotations": []}
{"role": "volunteer", "content": "But look at what I said about the formula.", "session_id": 18203, "sequence_id": 279, "annotations": []}
{"role": "student", "content": "yeah i did this wrong i realized", "session_id": 18203, "sequence_id": 280, "annotations": []}
{"role": "volunteer", "content": "You did everything right except the last step", "session_id": 18203, "sequence_id": 281, "annotations": []}
{"role": "student", "content": "i actually did somethings worong", "session_id": 18203, "sequence_id": 282, "annotations": []}
{"role": "student", "content": "i realized i had 13 in r", "session_id": 18203, "sequence_id": 283, "annotations": []}
{"role": "student", "content": "im editing it rn u just cant see it", "session_id": 18203, "sequence_id": 284, "annotations": []}
{"role": "volunteer", "content": "Oh, I used your numbers", "session_id": 18203, "sequence_id": 285, "annotations": []}
{"role": "volunteer", "content": "That's why a spreadsheet is helpful so you can just change one number and get all the new results", "session_id": 18203, "sequence_id": 286, "annotations": []}
{"role": "student", "content": "answer 12.16.16", "session_id": 18203, "sequence_id": 287, "annotations": []}
{"role": "student", "content": "nvm said its wrong", "session_id": 18203, "sequence_id": 288, "annotations": []}
{"role": "student", "content": "can u check my math", "session_id": 18203, "sequence_id": 289, "annotations": []}
{"role": "student", "content": "it should 12.27.27?", "session_id": 18203, "sequence_id": 290, "annotations": []}
{"role": "volunteer", "content": "I got12.27 so yes", "session_id": 18203, "sequence_id": 291, "annotations": []}
{"role": "student", "content": "ok", "session_id": 18203, "sequence_id": 292, "annotations": []}
{"role": "volunteer", "content": "But I don't know how you got.17", "session_id": 18203, "sequence_id": 293, "annotations": []}
{"role": "student", "content": "didnt round it yet", "session_id": 18203, "sequence_id": 294, "annotations": []}
{"role": "volunteer", "content": "But how did you arrive at.27?", "session_id": 18203, "sequence_id": 295, "annotations": []}
{"role": "student", "content": "i rounded it", "session_id": 18203, "sequence_id": 296, "annotations": []}
{"role": "volunteer", "content": "What did you round?", "session_id": 18203, "sequence_id": 297, "annotations": []}
{"role": "student", "content": "1", "session_id": 18203, "sequence_id": 298, "annotations": []}
{"role": "volunteer", "content": "So just do this one the same as the last plugging in different numbers", "session_id": 18203, "sequence_id": 299, "annotations": []}
{"role": "student", "content": "ok", "session_id": 18203, "sequence_id": 300, "annotations": []}
{"role": "student", "content": "i got 10.16", "session_id": 18203, "sequence_id": 301, "annotations": []}
{"role": "student", "content": "nvm now i got 10.17", "session_id": 18203, "sequence_id": 302, "annotations": []}
{"role": "student", "content": "i think i did something wrong", "session_id": 18203, "sequence_id": 303, "annotations": []}
{"role": "student", "content": "idk if its right", "session_id": 18203, "sequence_id": 304, "annotations": []}
{"role": "student", "content": "well it cant be", "session_id": 18203, "sequence_id": 305, "annotations": []}
{"role": "student", "content": "nvm ik what i did ok", "session_id": 18203, "sequence_id": 306, "annotations": []}
{"role": "volunteer", "content": "OK let's see", "session_id": 18203, "sequence_id": 307, "annotations": []}
{"role": "volunteer", "content": "OK. It's hard to debug because you aren't labeling things ... what is 0.9/12? Is it supposed to be r/n?", "session_id": 18203, "sequence_id": 308, "annotations": []}
{"role": "student", "content": "i fixed it", "session_id": 18203, "sequence_id": 309, "annotations": []}
{"role": "student", "content": "its bc i did 12/9 and not 0.054/12", "session_id": 18203, "sequence_id": 310, "annotations": []}
{"role": "student", "content": "*9/12", "session_id": 18203, "sequence_id": 311, "annotations": []}
{"role": "student", "content": "i don't need to round with this one?", "session_id": 18203, "sequence_id": 312, "annotations": []}
{"role": "volunteer", "content": "r/n is 0.0045, right?", "session_id": 18203, "sequence_id": 313, "annotations": []}
{"role": "student", "content": "mhm", "session_id": 18203, "sequence_id": 314, "annotations": []}
{"role": "volunteer", "content": "OK. See, I get 1.06 for (1+r/n)^nt which is a little different.", "session_id": 18203, "sequence_id": 315, "annotations": []}
{"role": "student", "content": "nvm", "session_id": 18203, "sequence_id": 316, "annotations": []}
{"role": "student", "content": "i know what it is", "session_id": 18203, "sequence_id": 317, "annotations": []}
{"role": "student", "content": "its bc i don't paste the full on numbers behind the decimal", "session_id": 18203, "sequence_id": 318, "annotations": []}
{"role": "student", "content": "so it changes the answer but 1.06.06", "session_id": 18203, "sequence_id": 319, "annotations": []}
{"role": "student", "content": "well 16", "session_id": 18203, "sequence_id": 320, "annotations": []}
{"role": "student", "content": "bc you round", "session_id": 18203, "sequence_id": 321, "annotations": []}
{"role": "volunteer", "content": "Yes, I got.07", "session_id": 18203, "sequence_id": 322, "annotations": []}
{"role": "volunteer", "content": "Round 0.069 up", "session_id": 18203, "sequence_id": 323, "annotations": []}
{"role": "student", "content": "so 17?", "session_id": 18203, "sequence_id": 324, "annotations": []}
{"role": "volunteer", "content": "No, how do you get 17?", "session_id": 18203, "sequence_id": 325, "annotations": []}
{"role": "volunteer", "content": "0.069 rounds up to 0.07, not 0.17", "session_id": 18203, "sequence_id": 326, "annotations": []}
{"role": "volunteer", "content": "I think that's what you did on the last problem which is why I didn't understand how you got .27 from .178 or whatever.", "session_id": 18203, "sequence_id": 327, "annotations": []}
{"role": "volunteer", "content": "OK, you seem to have a good understanding of how to solve these. I need to quit if you're set.", "session_id": 18203, "sequence_id": 328, "annotations": []}
{"role": "student", "content": "i thought u round the 0", "session_id": 18203, "sequence_id": 329, "annotations": []}
{"role": "volunteer", "content": "No, you round only the last digit you're going to *keep*", "session_id": 18203, "sequence_id": 330, "annotations": []}
{"role": "volunteer", "content": "so if you are going to keep 2 decimal points, you only round the last one.", "session_id": 18203, "sequence_id": 331, "annotations": []}
{"role": "student", "content": "ohh ok", "session_id": 18203, "sequence_id": 332, "annotations": []}
{"role": "student", "content": "I have one more to do", "session_id": 18203, "sequence_id": 333, "annotations": []}
{"role": "volunteer", "content": "THink about it ... 6.9 cents is almost 7, but not almost 17", "session_id": 18203, "sequence_id": 334, "annotations": []}
{"role": "volunteer", "content": "OK, I'll have to let you do that one on your own.", "session_id": 18203, "sequence_id": 335, "annotations": []}
{"role": "volunteer", "content": "Try working it out and if you have problem you can try again. If it's this kind of thing, you can say \"Algebra\" instead of stats and should get a quick reply.", "session_id": 18203, "sequence_id": 336, "annotations": []}
{"role": "student", "content": "Ok", "session_id": 18203, "sequence_id": 337, "annotations": []}
{"role": "volunteer", "content": "See you next time. Have a good day! :-)", "session_id": 18203, "sequence_id": 338, "annotations": []}
{"role": "student", "content": "Hello Michael", "session_id": 18315, "sequence_id": 0, "annotations": [{"pii_type": "PERSON", "surrogate": "Michael", "start": 6, "end": 13}]}
{"role": "volunteer", "content": "Hey Sarah!", "session_id": 18315, "sequence_id": 1, "annotations": [{"pii_type": "PERSON", "surrogate": "Sarah", "start": 4, "end": 9}]}
{"role": "volunteer", "content": "What do you need help with today?", "session_id": 18315, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "Okay so i wanted to ask u do you know about the", "session_id": 18315, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "SHSAT?", "session_id": 18315, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "No i'm not sure what it is", "session_id": 18315, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "Will u help me with some questions", "session_id": 18315, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "Yeah I can help out", "session_id": 18315, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "Okay gimme one min lemme pull it out on the board", "session_id": 18315, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "Can you see that?", "session_id": 18315, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "Yep I can see it", "session_id": 18315, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "Okay i need help solving and understanding it", "session_id": 18315, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "Okay I see", "session_id": 18315, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "let me first tell u what i know", "session_id": 18315, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "Okay", "session_id": 18315, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "of this prob", "session_id": 18315, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "so", "session_id": 18315, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "I know that 10/13= 0.769230", "session_id": 18315, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "i also know that", "session_id": 18315, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "7 is the first digt in the repating patern", "session_id": 18315, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "and yea thats all", "session_id": 18315, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "okay", "session_id": 18315, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "so do you know what the line above the repeating decimal is", "session_id": 18315, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "like what it means", "session_id": 18315, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "Repeating numbers", "session_id": 18315, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "meaning", "session_id": 18315, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "Yep it's repeating", "session_id": 18315, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "So let me draw it out like 3 times real quick", "session_id": 18315, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "alr", "session_id": 18315, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "Let me type it uot", "session_id": 18315, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "ok", "session_id": 18315, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "all good", "session_id": 18315, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "So basically kind of like that", "session_id": 18315, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "And goes on forever", "session_id": 18315, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "yes", "session_id": 18315, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "So basically looking at this, do you see how it's the same 6 digits that repeat?", "session_id": 18315, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "yea", "session_id": 18315, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "So each repetition of the pattern is 6 digits", "session_id": 18315, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "6 is even", "session_id": 18315, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "391 isnt", "session_id": 18315, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "they added one more number", "session_id": 18315, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "so i think the answer is 7?", "session_id": 18315, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "Yes the answer is seven", "session_id": 18315, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "Yay", "session_id": 18315, "sequence_id": 43, "annotations": []}
{"role": "student", "content": "!!", "session_id": 18315, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "but not exactly because of it being even or odd", "session_id": 18315, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "then what?", "session_id": 18315, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "Basically, every 6 digits the pattern repeats", "session_id": 18315, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "So if you divide/6", "session_id": 18315, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "The remainder is 1", "session_id": 18315, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "So that means it's the 1st digit of the new patter", "session_id": 18315, "sequence_id": 50, "annotations": []}
{"role": "student", "content": "yea", "session_id": 18315, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "yeah ok", "session_id": 18315, "sequence_id": 52, "annotations": []}
{"role": "student", "content": "Okay got it", "session_id": 18315, "sequence_id": 53, "annotations": []}
{"role": "student", "content": "wanna do another one?", "session_id": 18315, "sequence_id": 54, "annotations": []}
{"role": "student", "content": "if thats fine", "session_id": 18315, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "Yeah I have a good amount of time", "session_id": 18315, "sequence_id": 56, "annotations": []}
{"role": "student", "content": "alr", "session_id": 18315, "sequence_id": 57, "annotations": []}
{"role": "student", "content": "great!", "session_id": 18315, "sequence_id": 58, "annotations": []}
{"role": "student", "content": "alr", "session_id": 18315, "sequence_id": 59, "annotations": []}
{"role": "student", "content": "see it?", "session_id": 18315, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "numbers 63 - 65?", "session_id": 18315, "sequence_id": 61, "annotations": []}
{"role": "student", "content": "63-64", "session_id": 18315, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "okay yeah I see them", "session_id": 18315, "sequence_id": 63, "annotations": []}
{"role": "student", "content": "wait", "session_id": 18315, "sequence_id": 64, "annotations": []}
{"role": "student", "content": "yea 63-65", "session_id": 18315, "sequence_id": 65, "annotations": []}
{"role": "student", "content": "sorry", "session_id": 18315, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "Yep I see all of them", "session_id": 18315, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "No worries", "session_id": 18315, "sequence_id": 68, "annotations": []}
{"role": "student", "content": "alr", "session_id": 18315, "sequence_id": 69, "annotations": []}
{"role": "student", "content": "so", "session_id": 18315, "sequence_id": 70, "annotations": []}
{"role": "student", "content": "i wanted to ask u", "session_id": 18315, "sequence_id": 71, "annotations": []}
{"role": "student", "content": "can i use my mic", "session_id": 18315, "sequence_id": 72, "annotations": []}
{"role": "student", "content": "if thats fine with you", "session_id": 18315, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "I won't be able to hear you", "session_id": 18315, "sequence_id": 74, "annotations": []}
{"role": "volunteer", "content": "Since I can't use my audio", "session_id": 18315, "sequence_id": 75, "annotations": []}
{"role": "student", "content": "oh okay", "session_id": 18315, "sequence_id": 76, "annotations": []}
{"role": "student", "content": "all good", "session_id": 18315, "sequence_id": 77, "annotations": []}
{"role": "student", "content": "so", "session_id": 18315, "sequence_id": 78, "annotations": []}
{"role": "student", "content": "63", "session_id": 18315, "sequence_id": 79, "annotations": []}
{"role": "student", "content": "let me tell u what i know", "session_id": 18315, "sequence_id": 80, "annotations": []}
{"role": "student", "content": "He has goat", "session_id": 18315, "sequence_id": 81, "annotations": []}
{"role": "student", "content": "550 goats", "session_id": 18315, "sequence_id": 82, "annotations": []}
{"role": "student", "content": "which is 10% more than Mr. Thompson", "session_id": 18315, "sequence_id": 83, "annotations": [{"pii_type": "PERSON", "surrogate": "Thompson", "start": 27, "end": 35}]}
{"role": "student", "content": "percent is out of 100", "session_id": 18315, "sequence_id": 84, "annotations": []}
{"role": "student", "content": "I think the operation is multiplying", "session_id": 18315, "sequence_id": 85, "annotations": []}
{"role": "volunteer", "content": "Yep, we have to multiply something", "session_id": 18315, "sequence_id": 86, "annotations": []}
{"role": "volunteer", "content": "Do you know what we multiply?", "session_id": 18315, "sequence_id": 87, "annotations": []}
{"role": "student", "content": "um", "session_id": 18315, "sequence_id": 88, "annotations": []}
{"role": "student", "content": "550/x = 10/100?", "session_id": 18315, "sequence_id": 89, "annotations": []}
{"role": "student", "content": "butterfly medtod", "session_id": 18315, "sequence_id": 90, "annotations": []}
{"role": "volunteer", "content": "not quite", "session_id": 18315, "sequence_id": 91, "annotations": []}
{"role": "volunteer", "content": "Let me go over it", "session_id": 18315, "sequence_id": 92, "annotations": []}
{"role": "student", "content": "aw", "session_id": 18315, "sequence_id": 93, "annotations": []}
{"role": "student", "content": "alr", "session_id": 18315, "sequence_id": 94, "annotations": []}
{"role": "volunteer", "content": "So do you know how to convert between percent and decimal", "session_id": 18315, "sequence_id": 95, "annotations": []}
{"role": "volunteer", "content": "100% = 1\n\n150% = 1.5\n\n20% = 0.2", "session_id": 18315, "sequence_id": 96, "annotations": []}
{"role": "student", "content": "yea", "session_id": 18315, "sequence_id": 97, "annotations": []}
{"role": "volunteer", "content": "Okay great", "session_id": 18315, "sequence_id": 98, "annotations": []}
{"role": "volunteer", "content": "So it says Mr. Thompson has 10% more goats than Mr. Davis", "session_id": 18315, "sequence_id": 99, "annotations": [{"pii_type": "PERSON", "surrogate": "Thompson", "start": 15, "end": 23}, {"pii_type": "PERSON", "surrogate": "Davis", "start": 52, "end": 57}]}
{"role": "volunteer", "content": "meaning he has 110% of Mr. Davis's goats", "session_id": 18315, "sequence_id": 100, "annotations": [{"pii_type": "PERSON", "surrogate": "Davis", "start": 27, "end": 32}]}
{"role": "volunteer", "content": "Do you understand how I got 110%", "session_id": 18315, "sequence_id": 101, "annotations": []}
{"role": "student", "content": "not quite", "session_id": 18315, "sequence_id": 102, "annotations": []}
{"role": "volunteer", "content": "okay", "session_id": 18315, "sequence_id": 103, "annotations": []}
{"role": "volunteer", "content": "So basically do you understand how Mr. Thompson has 100% of his own goats", "session_id": 18315, "sequence_id": 104, "annotations": [{"pii_type": "PERSON", "surrogate": "Thompson", "start": 39, "end": 47}]}
{"role": "volunteer", "content": "Like if I have 5 goats, that means I have 100% of 5 goats", "session_id": 18315, "sequence_id": 105, "annotations": []}
{"role": "student", "content": "yea", "session_id": 18315, "sequence_id": 106, "annotations": []}
{"role": "student", "content": "a complete", "session_id": 18315, "sequence_id": 107, "annotations": []}
{"role": "student", "content": "of somehting", "session_id": 18315, "sequence_id": 108, "annotations": []}
{"role": "volunteer", "content": "so Mr. Thompson has 10% more than that, so he has 10% more 100%", "session_id": 18315, "sequence_id": 109, "annotations": [{"pii_type": "PERSON", "surrogate": "Thompson", "start": 7, "end": 15}]}
{"role": "volunteer", "content": "So he has 110%", "session_id": 18315, "sequence_id": 110, "annotations": []}
{"role": "student", "content": "ohhh", "session_id": 18315, "sequence_id": 111, "annotations": []}
{"role": "student", "content": "yesss", "session_id": 18315, "sequence_id": 112, "annotations": []}
{"role": "student", "content": "got it", "session_id": 18315, "sequence_id": 113, "annotations": []}
{"role": "volunteer", "content": "So let's say the number of goats Mr. Davis has is represnted by x", "session_id": 18315, "sequence_id": 114, "annotations": [{"pii_type": "PERSON", "surrogate": "Davis", "start": 37, "end": 42}]}
{"role": "volunteer", "content": "That means the number of goats Mr. Thompson has, which is 550, is equal to 1.1 * x", "session_id": 18315, "sequence_id": 115, "annotations": [{"pii_type": "PERSON", "surrogate": "Thompson", "start": 35, "end": 43}]}
{"role": "volunteer", "content": "since I converted 110% of x to decimal", "session_id": 18315, "sequence_id": 116, "annotations": []}
{"role": "student", "content": "ok", "session_id": 18315, "sequence_id": 117, "annotations": []}
{"role": "volunteer", "content": "so since 550 = 1.1x, what does x equal?", "session_id": 18315, "sequence_id": 118, "annotations": []}
{"role": "student", "content": "well", "session_id": 18315, "sequence_id": 119, "annotations": []}
{"role": "student", "content": "divide it", "session_id": 18315, "sequence_id": 120, "annotations": []}
{"role": "student", "content": "?", "session_id": 18315, "sequence_id": 121, "annotations": []}
{"role": "student", "content": "550/1.1", "session_id": 18315, "sequence_id": 122, "annotations": []}
{"role": "student", "content": "to find x", "session_id": 18315, "sequence_id": 123, "annotations": []}
{"role": "volunteer", "content": "yep", "session_id": 18315, "sequence_id": 124, "annotations": []}
{"role": "student", "content": "500", "session_id": 18315, "sequence_id": 125, "annotations": []}
{"role": "volunteer", "content": "Yep, that's what x equals", "session_id": 18315, "sequence_id": 126, "annotations": []}
{"role": "student", "content": "YES", "session_id": 18315, "sequence_id": 127, "annotations": []}
{"role": "student", "content": "got", "session_id": 18315, "sequence_id": 128, "annotations": []}
{"role": "student", "content": "it", "session_id": 18315, "sequence_id": 129, "annotations": []}
{"role": "volunteer", "content": "So that's how many goats Mr. Davis has", "session_id": 18315, "sequence_id": 130, "annotations": [{"pii_type": "PERSON", "surrogate": "Davis", "start": 29, "end": 34}]}
{"role": "volunteer", "content": "But now what is the question asking", "session_id": 18315, "sequence_id": 131, "annotations": []}
{"role": "student", "content": "how many more", "session_id": 18315, "sequence_id": 132, "annotations": []}
{"role": "volunteer", "content": "So then what is our answer", "session_id": 18315, "sequence_id": 133, "annotations": []}
{"role": "student", "content": "50", "session_id": 18315, "sequence_id": 134, "annotations": []}
{"role": "volunteer", "content": "Exactly. That's the right answer!", "session_id": 18315, "sequence_id": 135, "annotations": []}
{"role": "student", "content": "YAY", "session_id": 18315, "sequence_id": 136, "annotations": []}
{"role": "student", "content": "Alright", "session_id": 18315, "sequence_id": 137, "annotations": []}
{"role": "student", "content": "Sarah i have to go but thank you for all your help", "session_id": 18315, "sequence_id": 138, "annotations": [{"pii_type": "PERSON", "surrogate": "Sarah", "start": 0, "end": 5}]}
{"role": "student", "content": "you were really helpful", "session_id": 18315, "sequence_id": 139, "annotations": []}
{"role": "volunteer", "content": "Okay no problem, happy to help :)", "session_id": 18315, "sequence_id": 140, "annotations": []}
{"role": "volunteer", "content": "Have a good day", "session_id": 18315, "sequence_id": 141, "annotations": []}
{"role": "student", "content": "U too!", "session_id": 18315, "sequence_id": 142, "annotations": []}
{"role": "student", "content": "Bye! :)", "session_id": 18315, "sequence_id": 143, "annotations": []}
{"role": "student", "content": "you have two function machines. In what order should you stack the machines, and both machines have had their effect, the second machine's output is -64? Show all work to prove the correct answer. Write the order of functions", "session_id": 18572, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "Hello", "session_id": 18572, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "hey!!", "session_id": 18572, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "Is that the question that u need help with?", "session_id": 18572, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "yes please, if possible i would like to do the probelm previously mentioned please", "session_id": 18572, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "So the two functions on the board are the 'function machines'?", "session_id": 18572, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "But does the question say what the x-value is? Because if we want to stack those functions so that the output is -64, we'll need a fixed x-value so that we can calculate", "session_id": 18572, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "mhm\\", "session_id": 18572, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "See if u have any other info", "session_id": 18572, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "i wish mate but that's all i've got", "session_id": 18572, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "I'm really sorry the question seems impossible to solve", "session_id": 18572, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "It's a bit nonsense rn", "session_id": 18572, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "If you can, reach out to the person who made the question", "session_id": 18572, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "no that's okay i understand. i don't rly have anyone to go to abt this but like i'm honestly kinda done with the teacher anyways to duck it yk", "session_id": 18572, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "Yeah.. I'm sorry I can't help you", "session_id": 18572, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "Bye", "session_id": 18572, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "wait", "session_id": 18572, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "Hi", "session_id": 19167, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "Determine the domain of (f/g)(x) when f(x) = -1/x and g(x) = sqrt3x-9", "session_id": 19167, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "I'm so sorry I'm getting a call. Give me like 2 minutes", "session_id": 19167, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "That\u2019s okay. Take your time.", "session_id": 19167, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "Okay sorry I'm back", "session_id": 19167, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "Okay", "session_id": 19167, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "For the problem you wrote above, you first determine the domain of f(x). Since = -1/x, we can predict that x cannot equal 0. Do you know how to write an interval notation?", "session_id": 19167, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "No", "session_id": 19167, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "For example, Interval notations look like this: (-6, x) U (x, 9). Are you familiar with this?", "session_id": 19167, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "It\u2019s okay if you don\u2019t", "session_id": 19167, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "Yes. X is usually infinite or -, right?", "session_id": 19167, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "Sorry, I meant infinite for the x.", "session_id": 19167, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "Oh haha, it's okay", "session_id": 19167, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "Because f(x) is -1/x, x cannot be 0.", "session_id": 19167, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "Do you understand?", "session_id": 19167, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "Not really", "session_id": 19167, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "Division by 0 means undefined.", "session_id": 19167, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "So it would look like this (\u2212\u221e, 0)\u222a(0, \u221e)", "session_id": 19167, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "Right", "session_id": 19167, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "We next determine the domain for g(x).", "session_id": 19167, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "Right. How do we do that", "session_id": 19167, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "This equals square root of  3x-9, as stated in the problem. For it to be a real number, it must be non-negative. Do you understand?", "session_id": 19167, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 19167, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "This is 3x-9 is greater or equal to 0. Can you solve for x?", "session_id": 19167, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "Divide by 3 on both sides?", "session_id": 19167, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "Yes, but commonly, 9 should be added to the other side.", "session_id": 19167, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "I meant 9 should be added to the other side first", "session_id": 19167, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "then divide it by three", "session_id": 19167, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "this would result in\u2026?", "session_id": 19167, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "x=-3", "session_id": 19167, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "No, the greater or equal sign does not change.", "session_id": 19167, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "And when you add 9 to the other side, isolating the x, it would mean a positive.", "session_id": 19167, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "Like this:", "session_id": 19167, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "3x-9 greater or equal sign 0 (add 9 to other side)", "session_id": 19167, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "3x greater or equal sign 9", "session_id": 19167, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "(Divide 3)", "session_id": 19167, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "X greater or equal sign to 3", "session_id": 19167, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "do you understand?", "session_id": 19167, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 19167, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "This would mean \n[3,\u221e). Do you understand?", "session_id": 19167, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "Bracket or [ means that the number is greater or equal", "session_id": 19167, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "Why the infinite sign for that number instead of 3?", "session_id": 19167, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "Because in a square root, the number must be positive or 0, unless there is no solution", "session_id": 19167, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "we see that the x can be 3 or greater", "session_id": 19167, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "3x-9", "session_id": 19167, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "3(3)-9=0. This works in a square root", "session_id": 19167, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "Any number less than 3 doesn\u2019t work", "session_id": 19167, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "Got it", "session_id": 19167, "sequence_id": 47, "annotations": []}
{"role": "student", "content": "Next question. (F+g)(X) When f(x) = x^3 - 2x^2 +1 and g(x) = 4x^3 - 5x +7", "session_id": 19167, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "We haven\u2019t solved the first one since we are trying to determine domain of (f/g)x.", "session_id": 19167, "sequence_id": 49, "annotations": []}
{"role": "student", "content": "Oh I thought that was it", "session_id": 19167, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "We got the domain for f(x) and g(x)", "session_id": 19167, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "Okay", "session_id": 19167, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "The denominator g(x) must not be zero, so g(x) = square root of 3x -9 \u2260 0", "session_id": 19167, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "Can you solve square rt of 3x-9 \u2260 0?", "session_id": 19167, "sequence_id": 54, "annotations": []}
{"role": "student", "content": "I'm not sure", "session_id": 19167, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "Do you know how to isolate the x? Pretend \u2260 is a =.", "session_id": 19167, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "First, you get rid of the square root by using  power of 2 on both sides.", "session_id": 19167, "sequence_id": 57, "annotations": []}
{"role": "student", "content": "Divide 3", "session_id": 19167, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "You can\u2019t divide three if there\u2019s a square root there. When you use the power of 2, the 0 remains 0. This would result in 3x-9\u22600.", "session_id": 19167, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "You wanted to divide 3, this would mean that the constant needs to be moved", "session_id": 19167, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "Can you solve the rest?", "session_id": 19167, "sequence_id": 61, "annotations": []}
{"role": "student", "content": "I'm not sure", "session_id": 19167, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "Remember that you are solving for the x. You can add 3 to the other side to isolate it.", "session_id": 19167, "sequence_id": 63, "annotations": []}
{"role": "student", "content": "Got it", "session_id": 19167, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "This means x\u22603. Do you understand?", "session_id": 19167, "sequence_id": 65, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 19167, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "From these domains (x \u2260 0, x greater or equal to 3, and x \u2260 3), you can predict that x is greater than 3. Do you understand?", "session_id": 19167, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "So the domain, or solution is x is greater than 3.", "session_id": 19167, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "Do you know how to write that in this form:    \n( , )?", "session_id": 19167, "sequence_id": 69, "annotations": []}
{"role": "student", "content": "No", "session_id": 19167, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "Greater than 3 in interval notation.", "session_id": 19167, "sequence_id": 71, "annotations": []}
{"role": "student", "content": "Alright. What do I do?", "session_id": 19167, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "You write greater than 3 in interval notation. Am I confusing you?", "session_id": 19167, "sequence_id": 73, "annotations": []}
{"role": "student", "content": "Kinda so it would be 3, infinity?", "session_id": 19167, "sequence_id": 74, "annotations": []}
{"role": "volunteer", "content": "Yes", "session_id": 19167, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "This is the answer. Do you understand the process?", "session_id": 19167, "sequence_id": 76, "annotations": []}
{"role": "student", "content": "Yes I think", "session_id": 19167, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "I know you have more questions, but I have to go. You can make another request anytime.", "session_id": 19167, "sequence_id": 78, "annotations": []}
{"role": "student", "content": "Okay thank you", "session_id": 19167, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "You\u2019re welcome! Have a nice day!", "session_id": 19167, "sequence_id": 80, "annotations": []}
{"role": "student", "content": "hello", "session_id": 19757, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "hey", "session_id": 19757, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "how can i upload the picture?", "session_id": 19757, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "they are unfortunately not working", "session_id": 19757, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "they are trying to fix i", "session_id": 19757, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "it", "session_id": 19757, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "sorry about that", "session_id": 19757, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "they are down for system improvements", "session_id": 19757, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "if you want you can type it in the chat and write the equations on the board", "session_id": 19757, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "okayy i wroteit on the board", "session_id": 19757, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 19757, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "what dpes it mean by parent function", "session_id": 19757, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "it means the original function with out any transformations", "session_id": 19757, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "so it would be g(x)=IxI", "session_id": 19757, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "do you know how to graph that?", "session_id": 19757, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "like this?", "session_id": 19757, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "yes that's perfect", "session_id": 19757, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "good job", "session_id": 19757, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "okay good", "session_id": 19757, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "Maya", "session_id": 19757, "sequence_id": 19, "annotations": [{"pii_type": "PERSON", "surrogate": "Maya", "start": 0, "end": 4}]}
{"role": "volunteer", "content": "next we have to graph it after the transformation so we have to move it down 1", "session_id": 19757, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "so the vertex is (0,-1)", "session_id": 19757, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "then the slope of 1 stays the same", "session_id": 19757, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "wait why wouldnt it be a y", "session_id": 19757, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "what do you mean?", "session_id": 19757, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "i mean x", "session_id": 19757, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "like why wouldnt my poi8nt jut move to the left one", "session_id": 19757, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "if it was inside the | | then you would move left or right", "session_id": 19757, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "but since its outside the absolute value it would move up or down", "session_id": 19757, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "and since its -1 we would move down", "session_id": 19757, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "ohhh", "session_id": 19757, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "okay i get it", "session_id": 19757, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "because its a (h,k)?", "session_id": 19757, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "yess", "session_id": 19757, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "okay", "session_id": 19757, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "can we do another one?", "session_id": 19757, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "yes sure", "session_id": 19757, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "I cleared the board for you", "session_id": 19757, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "okay thank you lol", "session_id": 19757, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "this is the same graph the parent function", "session_id": 19757, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "and the actual function", "session_id": 19757, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 19757, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "oh what transformation did we do for the last one?", "session_id": 19757, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "we did down 1", "session_id": 19757, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "ok for this one you try it", "session_id": 19757, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "what. is the parent function?", "session_id": 19757, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "does the transformation have a name", "session_id": 19757, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "horizontal shift I think", "session_id": 19757, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "for the last one", "session_id": 19757, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "you graphed this one correct", "session_id": 19757, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "good job", "session_id": 19757, "sequence_id": 50, "annotations": []}
{"role": "student", "content": "is this right", "session_id": 19757, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 19757, "sequence_id": 52, "annotations": []}
{"role": "student", "content": "does the -3 do anything", "session_id": 19757, "sequence_id": 53, "annotations": []}
{"role": "student", "content": "like distributive?", "session_id": 19757, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "that would make the graph more narrow", "session_id": 19757, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "like that", "session_id": 19757, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "wait you forgot to shift it left", "session_id": 19757, "sequence_id": 57, "annotations": []}
{"role": "student", "content": "yeah i drew it a bit off center", "session_id": 19757, "sequence_id": 58, "annotations": []}
{"role": "student", "content": "wait", "session_id": 19757, "sequence_id": 59, "annotations": []}
{"role": "student", "content": "so would the actual function be just 0,3? facing down?", "session_id": 19757, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "it would be (-3,0) and facing down", "session_id": 19757, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "because we move left 3 units", "session_id": 19757, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "since its in the () it effects the x values", "session_id": 19757, "sequence_id": 63, "annotations": []}
{"role": "student", "content": "but isnt the 3 positive", "session_id": 19757, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "yea you always take the negative", "session_id": 19757, "sequence_id": 65, "annotations": []}
{"role": "student", "content": "so always switch the signs", "session_id": 19757, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "like the opposite of what's in th eparanthesis", "session_id": 19757, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 19757, "sequence_id": 68, "annotations": []}
{"role": "student", "content": "okay", "session_id": 19757, "sequence_id": 69, "annotations": []}
{"role": "student", "content": "so i have to switch it to k,h?", "session_id": 19757, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "don't worry about (h,k) because that's going to confuse you", "session_id": 19757, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "if the number is in the absolute value or parantheis with the x", "session_id": 19757, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "you always move the opposite way of the sign", "session_id": 19757, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "since its +3 you would make it -3 to the opposite and move left 3 units", "session_id": 19757, "sequence_id": 74, "annotations": []}
{"role": "student", "content": "okay", "session_id": 19757, "sequence_id": 75, "annotations": []}
{"role": "student", "content": "what if the -3 was a different number? is it just that the parenthesis just that matter?", "session_id": 19757, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "the parenthesis would matter about moving left and right", "session_id": 19757, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "the -3 infront is how wide or narrow the graph is", "session_id": 19757, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "and any number after the parenthesis would mean a change in up and down", "session_id": 19757, "sequence_id": 79, "annotations": []}
{"role": "student", "content": "ohhh okay", "session_id": 19757, "sequence_id": 80, "annotations": []}
{"role": "volunteer", "content": "we can try another one to make you understand it better", "session_id": 19757, "sequence_id": 81, "annotations": []}
{"role": "student", "content": "yes", "session_id": 19757, "sequence_id": 82, "annotations": []}
{"role": "student", "content": "quadratic?", "session_id": 19757, "sequence_id": 83, "annotations": []}
{"role": "volunteer", "content": "yes quadratic would be better but if its absolute value we can do it too", "session_id": 19757, "sequence_id": 84, "annotations": []}
{"role": "student", "content": "okay ill take a rando one", "session_id": 19757, "sequence_id": 85, "annotations": []}
{"role": "student", "content": "parent function always starts at 0?", "session_id": 19757, "sequence_id": 86, "annotations": []}
{"role": "student", "content": "or i men the origin", "session_id": 19757, "sequence_id": 87, "annotations": []}
{"role": "volunteer", "content": "yes it starts at the vertex", "session_id": 19757, "sequence_id": 88, "annotations": []}
{"role": "volunteer", "content": "I meant origin too", "session_id": 19757, "sequence_id": 89, "annotations": []}
{"role": "volunteer", "content": "my bad", "session_id": 19757, "sequence_id": 90, "annotations": []}
{"role": "student", "content": "this is for the vertex", "session_id": 19757, "sequence_id": 91, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 19757, "sequence_id": 92, "annotations": []}
{"role": "volunteer", "content": "so redraw the graph where the vertex is at -1,0", "session_id": 19757, "sequence_id": 93, "annotations": []}
{"role": "student", "content": "okay i think i get this now", "session_id": 19757, "sequence_id": 94, "annotations": []}
{"role": "student", "content": "i took this from the question i wanna work on rn", "session_id": 19757, "sequence_id": 95, "annotations": []}
{"role": "volunteer", "content": "yea this is correct", "session_id": 19757, "sequence_id": 96, "annotations": []}
{"role": "student", "content": "its says function g is a translation 4 units right and 6 units down followed by a reflection of y axis", "session_id": 19757, "sequence_id": 97, "annotations": []}
{"role": "student", "content": "graph both f and g", "session_id": 19757, "sequence_id": 98, "annotations": []}
{"role": "volunteer", "content": "oh ok", "session_id": 19757, "sequence_id": 99, "annotations": []}
{"role": "student", "content": "sorry for the mess", "session_id": 19757, "sequence_id": 100, "annotations": []}
{"role": "volunteer", "content": "its ok", "session_id": 19757, "sequence_id": 101, "annotations": []}
{"role": "volunteer", "content": "I think it looks right Im just confused about the reflection of y axis", "session_id": 19757, "sequence_id": 102, "annotations": []}
{"role": "volunteer", "content": "oh its correct", "session_id": 19757, "sequence_id": 103, "annotations": []}
{"role": "student", "content": "i did the translation i think thats what its call first then i just copied it on the other side", "session_id": 19757, "sequence_id": 104, "annotations": []}
{"role": "volunteer", "content": "yea then you did it correct", "session_id": 19757, "sequence_id": 105, "annotations": []}
{"role": "volunteer", "content": "I was looking at the wrong graph", "session_id": 19757, "sequence_id": 106, "annotations": []}
{"role": "volunteer", "content": "good job", "session_id": 19757, "sequence_id": 107, "annotations": []}
{"role": "volunteer", "content": "you got it", "session_id": 19757, "sequence_id": 108, "annotations": []}
{"role": "student", "content": "yayy", "session_id": 19757, "sequence_id": 109, "annotations": []}
{"role": "volunteer", "content": "do you want to try one last one", "session_id": 19757, "sequence_id": 110, "annotations": []}
{"role": "student", "content": "yes", "session_id": 19757, "sequence_id": 111, "annotations": []}
{"role": "student", "content": "hang on lemme write all this down", "session_id": 19757, "sequence_id": 112, "annotations": []}
{"role": "volunteer", "content": "if its ok with you im going to take a 10 minute break", "session_id": 19757, "sequence_id": 113, "annotations": []}
{"role": "volunteer", "content": "I just need to quickly take a shower", "session_id": 19757, "sequence_id": 114, "annotations": []}
{"role": "volunteer", "content": "is that ok", "session_id": 19757, "sequence_id": 115, "annotations": []}
{"role": "volunteer", "content": "since you also need to write it down", "session_id": 19757, "sequence_id": 116, "annotations": []}
{"role": "student", "content": "yeah its okay!", "session_id": 19757, "sequence_id": 117, "annotations": []}
{"role": "volunteer", "content": "thank you", "session_id": 19757, "sequence_id": 118, "annotations": []}
{"role": "volunteer", "content": "hey I am back", "session_id": 19757, "sequence_id": 119, "annotations": []}
{"role": "student", "content": "hellooo", "session_id": 19757, "sequence_id": 120, "annotations": []}
{"role": "volunteer", "content": "thank you for letting me leave for 10 mins", "session_id": 19757, "sequence_id": 121, "annotations": []}
{"role": "student", "content": "yeah no problem! off topic but is every tutor also students?", "session_id": 19757, "sequence_id": 122, "annotations": []}
{"role": "volunteer", "content": "not all", "session_id": 19757, "sequence_id": 123, "annotations": []}
{"role": "volunteer", "content": "I am a student", "session_id": 19757, "sequence_id": 124, "annotations": []}
{"role": "volunteer", "content": "but some might be teachers or adults that just want to help students", "session_id": 19757, "sequence_id": 125, "annotations": []}
{"role": "student", "content": "ohhh okay i was curious thank you", "session_id": 19757, "sequence_id": 126, "annotations": []}
{"role": "volunteer", "content": "no problem", "session_id": 19757, "sequence_id": 127, "annotations": []}
{"role": "student", "content": "okay for this one i have to find the vertex first right", "session_id": 19757, "sequence_id": 128, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 19757, "sequence_id": 129, "annotations": []}
{"role": "student", "content": "will it always be same as h,k? i think 4 is the y", "session_id": 19757, "sequence_id": 130, "annotations": []}
{"role": "volunteer", "content": "yea", "session_id": 19757, "sequence_id": 131, "annotations": []}
{"role": "volunteer", "content": "I think its (0,4)", "session_id": 19757, "sequence_id": 132, "annotations": []}
{"role": "student", "content": "does the -3x have nothing to do with it?", "session_id": 19757, "sequence_id": 133, "annotations": []}
{"role": "volunteer", "content": "that would change the graph overall later", "session_id": 19757, "sequence_id": 134, "annotations": []}
{"role": "student", "content": "okay", "session_id": 19757, "sequence_id": 135, "annotations": []}
{"role": "student", "content": "wait what", "session_id": 19757, "sequence_id": 136, "annotations": []}
{"role": "volunteer", "content": "wait", "session_id": 19757, "sequence_id": 137, "annotations": []}
{"role": "volunteer", "content": "no the -3 is the slope", "session_id": 19757, "sequence_id": 138, "annotations": []}
{"role": "student", "content": "how can i reflect if on the line", "session_id": 19757, "sequence_id": 139, "annotations": []}
{"role": "student", "content": "oh", "session_id": 19757, "sequence_id": 140, "annotations": []}
{"role": "student", "content": "so is it", "session_id": 19757, "sequence_id": 141, "annotations": []}
{"role": "volunteer", "content": "no -3/1", "session_id": 19757, "sequence_id": 142, "annotations": []}
{"role": "student", "content": "why?", "session_id": 19757, "sequence_id": 143, "annotations": []}
{"role": "volunteer", "content": "because its only -3x", "session_id": 19757, "sequence_id": 144, "annotations": []}
{"role": "volunteer", "content": "so -3/1", "session_id": 19757, "sequence_id": 145, "annotations": []}
{"role": "student", "content": "so -3,4", "session_id": 19757, "sequence_id": 146, "annotations": []}
{"role": "volunteer", "content": "you graphed it wrong", "session_id": 19757, "sequence_id": 147, "annotations": []}
{"role": "volunteer", "content": "let me graph it", "session_id": 19757, "sequence_id": 148, "annotations": []}
{"role": "student", "content": "okay", "session_id": 19757, "sequence_id": 149, "annotations": []}
{"role": "student", "content": "wait where did you get all these points from", "session_id": 19757, "sequence_id": 150, "annotations": []}
{"role": "volunteer", "content": "that's the graph but you need to reflect it", "session_id": 19757, "sequence_id": 151, "annotations": []}
{"role": "volunteer", "content": "I used the y intercept (0,4", "session_id": 19757, "sequence_id": 152, "annotations": []}
{"role": "volunteer", "content": "then used rise 3 and left 1", "session_id": 19757, "sequence_id": 153, "annotations": []}
{"role": "volunteer", "content": "which is the slope", "session_id": 19757, "sequence_id": 154, "annotations": []}
{"role": "student", "content": "ohhh", "session_id": 19757, "sequence_id": 155, "annotations": []}
{"role": "student", "content": "okay", "session_id": 19757, "sequence_id": 156, "annotations": []}
{"role": "student", "content": "makes sense", "session_id": 19757, "sequence_id": 157, "annotations": []}
{"role": "student", "content": "how can you reflect this if its on the axis?", "session_id": 19757, "sequence_id": 158, "annotations": []}
{"role": "volunteer", "content": "just flip th epoints", "session_id": 19757, "sequence_id": 159, "annotations": []}
{"role": "student", "content": "oh wait im supposed to write a function that represents this", "session_id": 19757, "sequence_id": 160, "annotations": []}
{"role": "student", "content": "the transformations", "session_id": 19757, "sequence_id": 161, "annotations": []}
{"role": "student", "content": "so do i just flip the signs?", "session_id": 19757, "sequence_id": 162, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 19757, "sequence_id": 163, "annotations": []}
{"role": "student", "content": "f(x)3x-4", "session_id": 19757, "sequence_id": 164, "annotations": []}
{"role": "volunteer", "content": "do you understand it?", "session_id": 19757, "sequence_id": 165, "annotations": []}
{"role": "student", "content": "yes", "session_id": 19757, "sequence_id": 166, "annotations": []}
{"role": "volunteer", "content": "ok im sorry I have to go now", "session_id": 19757, "sequence_id": 167, "annotations": []}
{"role": "student", "content": "thanks for helping me so late i understand this a lot better", "session_id": 19757, "sequence_id": 168, "annotations": []}
{"role": "student", "content": "Liam!", "session_id": 19757, "sequence_id": 169, "annotations": [{"pii_type": "PERSON", "surrogate": "Liam", "start": 0, "end": 4}]}
{"role": "volunteer", "content": "I hope you learned this unit", "session_id": 19757, "sequence_id": 170, "annotations": []}
{"role": "volunteer", "content": "your welcome", "session_id": 19757, "sequence_id": 171, "annotations": []}
{"role": "student", "content": "have a goodnight yea i did", "session_id": 19757, "sequence_id": 172, "annotations": []}
{"role": "volunteer", "content": "good night", "session_id": 19757, "sequence_id": 173, "annotations": []}
{"role": "volunteer", "content": "bye", "session_id": 19757, "sequence_id": 174, "annotations": []}
{"role": "student", "content": "bye", "session_id": 19757, "sequence_id": 175, "annotations": []}
{"role": "volunteer", "content": "Hi Alex, How can I help today!", "session_id": 19921, "sequence_id": 0, "annotations": [{"pii_type": "PERSON", "surrogate": "Alex", "start": 3, "end": 7}]}
{"role": "student", "content": "Hi! I am working on an assignment about completeing the square I think its called and was hoping to get some help on a few questions", "session_id": 19921, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "Of course, just upload them and we can work them together", "session_id": 19921, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "Mr. Davis, you got it! Just one second please!", "session_id": 19921, "sequence_id": 3, "annotations": [{"pii_type": "PERSON", "surrogate": "Mr. Davis", "start": 0, "end": 9}]}
{"role": "volunteer", "content": "No problem, take your time", "session_id": 19921, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "Also I think I remember you helping me in a session a couple weeks ago", "session_id": 19921, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "Oh really, hopefully I was helpful", "session_id": 19921, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "Yeah, you were! That's why I favorited you.", "session_id": 19921, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "Mr. Davis, can you see it?", "session_id": 19921, "sequence_id": 8, "annotations": [{"pii_type": "PERSON", "surrogate": "Mr. Davis", "start": 0, "end": 9}]}
{"role": "volunteer", "content": "Yes I can see it", "session_id": 19921, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "Mr. Davis dokie!", "session_id": 19921, "sequence_id": 10, "annotations": [{"pii_type": "PERSON", "surrogate": "Mr. Davis", "start": 0, "end": 9}]}
{"role": "volunteer", "content": "so do you know where to start, or you need some guidance", "session_id": 19921, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "Is the first step to find a common factor between the first and second term?", "session_id": 19921, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 19921, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "oKIE DOKE THANKS! its is 8 right?", "session_id": 19921, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "Oopsie sorry for the capitals", "session_id": 19921, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "yes it is", "session_id": 19921, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "alrighty than you", "session_id": 19921, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "could we facotr 8 out of the expression too to give us 8(x^2 - 18x +108)?", "session_id": 19921, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "hmmm", "session_id": 19921, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "I wouldn't personally, but lemme see what happens when you do", "session_id": 19921, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "because I was thinking of doing it without factoring the last term", "session_id": 19921, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "ok yea it can still work", "session_id": 19921, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "i just tried it", "session_id": 19921, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "okay thank you", "session_id": 19921, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "so do that?", "session_id": 19921, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "yes whichever way you feel is better for you", "session_id": 19921, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "both ways work", "session_id": 19921, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "what is the other way to do it?", "session_id": 19921, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "you could not factor the common term", "session_id": 19921, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "and then how do we get the answer from there because I would like to learn more ways to solve", "session_id": 19921, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "okay can I show both ways to do it on the board then?", "session_id": 19921, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "and you can ask questions from either one?", "session_id": 19921, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "Yep! Do you want me to erase my work?", "session_id": 19921, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "yes sure!", "session_id": 19921, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "Mr. Davis done!", "session_id": 19921, "sequence_id": 35, "annotations": [{"pii_type": "PERSON", "surrogate": "Mr. Davis", "start": 0, "end": 9}]}
{"role": "student", "content": "how did you do the secondway?", "session_id": 19921, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "this way on the screen?", "session_id": 19921, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "yeah where you got 8(x-9)^2 + 216", "session_id": 19921, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "do you want me to explain from step 1 to the final?", "session_id": 19921, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "yes please if you don't mind", "session_id": 19921, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "ok sure, I dont mind!", "session_id": 19921, "sequence_id": 41, "annotations": []}
{"role": "student", "content": ":)", "session_id": 19921, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "ok first we factor everything with the factor of 8", "session_id": 19921, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "then what I did, I didn't really show the whole step so let me write it on the board, I basically added a 0", "session_id": 19921, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "yes", "session_id": 19921, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "as you can see, there is a -81 and +81", "session_id": 19921, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "wait why did you add all that stuff?", "session_id": 19921, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "the one i just wrote?", "session_id": 19921, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 19921, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "ok so I added all this stuff, basically the only different is that I added a :-81\" and a \"+81\"", "session_id": 19921, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "so I got this by dividing the -18 by 2", "session_id": 19921, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "then squaring it", "session_id": 19921, "sequence_id": 52, "annotations": []}
{"role": "student", "content": "okay so when did the second 81 come from?", "session_id": 19921, "sequence_id": 53, "annotations": []}
{"role": "student", "content": "sorry I am not trying to question you I am just very confused and want to make sure I understand it all", "session_id": 19921, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "thats fine, always ask when you are confused, I want you to understand:) so dont be afraid to bombard me with questions", "session_id": 19921, "sequence_id": 55, "annotations": []}
{"role": "student", "content": "thanks, I will!", "session_id": 19921, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "ok so the second 81 came because I wanted to balance out the equation", "session_id": 19921, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "I cant just add random numbers", "session_id": 19921, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "so I added two numbers that would cancel each other out", "session_id": 19921, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "81 and -81 is 0", "session_id": 19921, "sequence_id": 60, "annotations": []}
{"role": "student", "content": "oh so you can do that in any equation like this?", "session_id": 19921, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "yes you can add numbers but they have to equal to 0", "session_id": 19921, "sequence_id": 62, "annotations": []}
{"role": "student", "content": "okay and how did you know you had to do that for this equation?", "session_id": 19921, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "I know I had to that for this question because this question is asking specifically for vertex form, I know this because it says to make an expression that can show the miniumum", "session_id": 19921, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "vertex form is y = a(x-h)^2 + k", "session_id": 19921, "sequence_id": 65, "annotations": []}
{"role": "student", "content": "oh okay so in any equation that ask for vertex form you have to add two numbers that cancle eqach other out to give you 0", "session_id": 19921, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "yes when you try to get it from standard to vertex, you have to do it this way", "session_id": 19921, "sequence_id": 67, "annotations": []}
{"role": "student", "content": "okay I think I get it now just one more question, why did you add 81 how did you know to add that specific number", "session_id": 19921, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "ok great question", "session_id": 19921, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "so our ultimate goal is to have it so that it can have somekind of form of (x-a)^2", "session_id": 19921, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "so this a value has to be the 1/2 value of the coeffeciant of the 2nd term which in this case is -18x", "session_id": 19921, "sequence_id": 71, "annotations": []}
{"role": "student", "content": "huh?", "session_id": 19921, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "let me explain a different way", "session_id": 19921, "sequence_id": 73, "annotations": []}
{"role": "student", "content": "yes please, sorry", "session_id": 19921, "sequence_id": 74, "annotations": []}
{"role": "volunteer", "content": "look at the board because im gonna underline some stuff", "session_id": 19921, "sequence_id": 75, "annotations": []}
{"role": "student", "content": "Mr. Davis", "session_id": 19921, "sequence_id": 76, "annotations": [{"pii_type": "PERSON", "surrogate": "Mr. Davis", "start": 0, "end": 9}]}
{"role": "volunteer", "content": "its always this coefficient", "session_id": 19921, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "that one that has a x", "session_id": 19921, "sequence_id": 78, "annotations": []}
{"role": "student", "content": "okay", "session_id": 19921, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "-18 is the coeff so divide by 2", "session_id": 19921, "sequence_id": 80, "annotations": []}
{"role": "volunteer", "content": "now we know that it has to factor to (x-9)^2", "session_id": 19921, "sequence_id": 81, "annotations": []}
{"role": "volunteer", "content": "and when we expand this (x-9)^2", "session_id": 19921, "sequence_id": 82, "annotations": []}
{"role": "volunteer", "content": "it becomes x^2 - 18x + 81", "session_id": 19921, "sequence_id": 83, "annotations": []}
{"role": "student", "content": "okay so you divide the coeeficent by two then square that and that is how you got 81?", "session_id": 19921, "sequence_id": 84, "annotations": []}
{"role": "volunteer", "content": "so thats why we need the -81 to cancel it out", "session_id": 19921, "sequence_id": 85, "annotations": []}
{"role": "student", "content": "okay I think I get it now, thank you for answering all my questions", "session_id": 19921, "sequence_id": 86, "annotations": []}
{"role": "volunteer", "content": "ok no problem, just let me know if you dont get anything and I am more than happy to go over it", "session_id": 19921, "sequence_id": 87, "annotations": []}
{"role": "student", "content": "okay thank you so now I understand how you got 8(x^2 - 18x + 108) but how did you get 8(x-9)^2 + 216? Did you do the thing where you multiply the first term by the last terms then find two numbers that eqaul the number you got when multiplied but equal the middle term when added? The place those nubers in place of the middle terms then group and factor?", "session_id": 19921, "sequence_id": 88, "annotations": []}
{"role": "volunteer", "content": "ok sort of", "session_id": 19921, "sequence_id": 89, "annotations": []}
{"role": "student", "content": "ok", "session_id": 19921, "sequence_id": 90, "annotations": []}
{"role": "volunteer", "content": "so we left of and we got 8(x^2-18x+81-81+108), we factor the \"x^2-18x+81 inside this paranthesis to (x-9)^2 which now leaves us with 8((x-9)^2 -81 + 108)   the -81 and 108 add together and get 27. Once we are here we can distruvute just the last term with 8 to the remaining terms and keep the first term which in this case is (x-9)^2 undistributed", "session_id": 19921, "sequence_id": 91, "annotations": []}
{"role": "volunteer", "content": "so the final solution would be 8(x-9)^2 + (8*27  or  \"216\")", "session_id": 19921, "sequence_id": 92, "annotations": []}
{"role": "student", "content": "oh okay, I guess that makes sense", "session_id": 19921, "sequence_id": 93, "annotations": []}
{"role": "student", "content": "So the answer is D?", "session_id": 19921, "sequence_id": 94, "annotations": []}
{"role": "volunteer", "content": "yes!", "session_id": 19921, "sequence_id": 95, "annotations": []}
{"role": "student", "content": "okay, thank you! Do you think you could please help me with some more questions?", "session_id": 19921, "sequence_id": 96, "annotations": []}
{"role": "volunteer", "content": "yes of course", "session_id": 19921, "sequence_id": 97, "annotations": []}
{"role": "student", "content": "thanks! I will put it up now", "session_id": 19921, "sequence_id": 98, "annotations": []}
{"role": "student", "content": "Mr. Davis doke artichoke, can you see it?", "session_id": 19921, "sequence_id": 99, "annotations": [{"pii_type": "PERSON", "surrogate": "Mr. Davis", "start": 0, "end": 9}]}
{"role": "student", "content": "If I need to enlarge the image just let me know", "session_id": 19921, "sequence_id": 100, "annotations": []}
{"role": "volunteer", "content": "its fine I can see it", "session_id": 19921, "sequence_id": 101, "annotations": []}
{"role": "volunteer", "content": "ok this is pretty similar to that last question we did", "session_id": 19921, "sequence_id": 102, "annotations": []}
{"role": "student", "content": "ok", "session_id": 19921, "sequence_id": 103, "annotations": []}
{"role": "student", "content": "the first step is we can factor out 2 right?", "session_id": 19921, "sequence_id": 104, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 19921, "sequence_id": 105, "annotations": []}
{"role": "student", "content": "from just the first two terms?", "session_id": 19921, "sequence_id": 106, "annotations": []}
{"role": "volunteer", "content": "all the terms like we did last time", "session_id": 19921, "sequence_id": 107, "annotations": []}
{"role": "student", "content": "ok", "session_id": 19921, "sequence_id": 108, "annotations": []}
{"role": "student", "content": "like that?", "session_id": 19921, "sequence_id": 109, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 19921, "sequence_id": 110, "annotations": []}
{"role": "student", "content": "okay the next step is to divide 6x by two then square right?", "session_id": 19921, "sequence_id": 111, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 19921, "sequence_id": 112, "annotations": []}
{"role": "student", "content": "so that gives us 9", "session_id": 19921, "sequence_id": 113, "annotations": []}
{"role": "student", "content": "and then do we also add -9?", "session_id": 19921, "sequence_id": 114, "annotations": []}
{"role": "volunteer", "content": "yes correct to balance it out", "session_id": 19921, "sequence_id": 115, "annotations": []}
{"role": "student", "content": "okay :)", "session_id": 19921, "sequence_id": 116, "annotations": []}
{"role": "volunteer", "content": "wait you messed up somewhere", "session_id": 19921, "sequence_id": 117, "annotations": []}
{"role": "student", "content": "okay now do we distribute 2?", "session_id": 19921, "sequence_id": 118, "annotations": []}
{"role": "student", "content": "oh", "session_id": 19921, "sequence_id": 119, "annotations": []}
{"role": "volunteer", "content": "the first two steps are right", "session_id": 19921, "sequence_id": 120, "annotations": []}
{"role": "volunteer", "content": "now factor the x^2+6x+9 into (x+3)^2", "session_id": 19921, "sequence_id": 121, "annotations": []}
{"role": "student", "content": "wait but what about the 9 - 9 - 7?", "session_id": 19921, "sequence_id": 122, "annotations": []}
{"role": "volunteer", "content": "like this", "session_id": 19921, "sequence_id": 123, "annotations": []}
{"role": "volunteer", "content": "its just stays within the paranthesis", "session_id": 19921, "sequence_id": 124, "annotations": []}
{"role": "student", "content": "but how did you get to that if we still have the -7 and the -9?", "session_id": 19921, "sequence_id": 125, "annotations": []}
{"role": "student", "content": "cause when we add the -9 doesn't it cancle out the 9 leaving just 7?", "session_id": 19921, "sequence_id": 126, "annotations": []}
{"role": "volunteer", "content": "we add the 9 for the sole purpose of factoring", "session_id": 19921, "sequence_id": 127, "annotations": []}
{"role": "volunteer", "content": "we just have the -9 to make sure we are not doing illegal math", "session_id": 19921, "sequence_id": 128, "annotations": []}
{"role": "student", "content": "all math should be illegal", "session_id": 19921, "sequence_id": 129, "annotations": []}
{"role": "volunteer", "content": "without the +9 we cant factor x^2+6x into (x+3)^2", "session_id": 19921, "sequence_id": 130, "annotations": []}
{"role": "student", "content": "okay", "session_id": 19921, "sequence_id": 131, "annotations": []}
{"role": "student", "content": "what happened to 7? can you please show me all the step you did to get 2(x^2 + 6x + 9 + 9 -9 - 7) to 2((X+3)^2)?", "session_id": 19921, "sequence_id": 132, "annotations": []}
{"role": "volunteer", "content": "no the -7 is still here look", "session_id": 19921, "sequence_id": 133, "annotations": []}
{"role": "volunteer", "content": "and the -9 is still there too", "session_id": 19921, "sequence_id": 134, "annotations": []}
{"role": "student", "content": "Where?", "session_id": 19921, "sequence_id": 135, "annotations": []}
{"role": "volunteer", "content": "i think the board got cut off", "session_id": 19921, "sequence_id": 136, "annotations": []}
{"role": "student", "content": "oh", "session_id": 19921, "sequence_id": 137, "annotations": []}
{"role": "volunteer", "content": "do you see it now?", "session_id": 19921, "sequence_id": 138, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 19921, "sequence_id": 139, "annotations": []}
{"role": "student", "content": "so you just turned x^2 + 6X INTO X+3^2 by dividing by two?", "session_id": 19921, "sequence_id": 140, "annotations": []}
{"role": "volunteer", "content": "no we divide by 2 to figure out what to factor the numbers into", "session_id": 19921, "sequence_id": 141, "annotations": []}
{"role": "volunteer", "content": "in this case we now it has to be (X+3)^2", "session_id": 19921, "sequence_id": 142, "annotations": []}
{"role": "student", "content": "okay so what did you do to get x+3 ^2 from x^2 + 6x", "session_id": 19921, "sequence_id": 143, "annotations": []}
{"role": "volunteer", "content": "i got the (x+3)^2 from x^2+6x+9", "session_id": 19921, "sequence_id": 144, "annotations": []}
{"role": "volunteer", "content": "when you factor x^2+6x+9", "session_id": 19921, "sequence_id": 145, "annotations": []}
{"role": "volunteer", "content": "it factors into (x+3)^2", "session_id": 19921, "sequence_id": 146, "annotations": []}
{"role": "volunteer", "content": "thats why we needed the 9 and -9", "session_id": 19921, "sequence_id": 147, "annotations": []}
{"role": "student", "content": "oh so did you multiply 9 and x^2 find the 3 and 3 were the two numbers to equal that when multipled but 6 when added and then use those two to group and factor and find that?", "session_id": 19921, "sequence_id": 148, "annotations": []}
{"role": "volunteer", "content": "yes i believe that is right", "session_id": 19921, "sequence_id": 149, "annotations": []}
{"role": "student", "content": "okay thank you now I get it", "session_id": 19921, "sequence_id": 150, "annotations": []}
{"role": "student", "content": "so now do wee multiply by 2?", "session_id": 19921, "sequence_id": 151, "annotations": []}
{"role": "volunteer", "content": "yes but for add the -9 and -7", "session_id": 19921, "sequence_id": 152, "annotations": []}
{"role": "volunteer", "content": "then distrubute to the sum of those numbers only", "session_id": 19921, "sequence_id": 153, "annotations": []}
{"role": "student", "content": "okay so 2 times -16 is -32", "session_id": 19921, "sequence_id": 154, "annotations": []}
{"role": "student", "content": "so then it seems like the answer would be C but how do we get 32 to be positive?", "session_id": 19921, "sequence_id": 155, "annotations": []}
{"role": "volunteer", "content": "because we have everything on one side", "session_id": 19921, "sequence_id": 156, "annotations": []}
{"role": "volunteer", "content": "and we add +32 on both sides", "session_id": 19921, "sequence_id": 157, "annotations": []}
{"role": "student", "content": "oh yeah we have to add to both sides to cancle it out and bring to the other side", "session_id": 19921, "sequence_id": 158, "annotations": []}
{"role": "student", "content": "okay now I get it, thank you for all of your patience!", "session_id": 19921, "sequence_id": 159, "annotations": []}
{"role": "volunteer", "content": "no problem, I have to go now so have a great day!", "session_id": 19921, "sequence_id": 160, "annotations": []}
{"role": "volunteer", "content": "hello", "session_id": 21451, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "Hi", "session_id": 21451, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "How may I help you?", "session_id": 21451, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "I need help with long division", "session_id": 21451, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "OK.  Do you have a problem that you are working on?", "session_id": 21451, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "No", "session_id": 21451, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "Are you using a 1 digit divisor or a 2 digit divisor?", "session_id": 21451, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "I\u2019ve used both before", "session_id": 21451, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "Do you want to try the one on the board?", "session_id": 21451, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "Sure but I don\u2019t remember how", "session_id": 21451, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "OK, how many times does 6 go into 4?", "session_id": 21451, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "0", "session_id": 21451, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "so we put a 0 above the 4", "session_id": 21451, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "now we move on and ask: how many times can 6 go into 45?", "session_id": 21451, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "7", "session_id": 21451, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "Right. Do you remember what we do now?", "session_id": 21451, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "How many times 6 can go into 6", "session_id": 21451, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "No, now we multiply the 7 we just found times the divisor, which is 6", "session_id": 21451, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "so what is 7*6?", "session_id": 21451, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "42", "session_id": 21451, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "we now subtract 45 -42", "session_id": 21451, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "3", "session_id": 21451, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "Now we bring down the next digit, which is a 6", "session_id": 21451, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "36 is the new number we are working with.", "session_id": 21451, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "So we ask, how many times does 6 go into 36?", "session_id": 21451, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "6 times", "session_id": 21451, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "Right. What do you think we do next?", "session_id": 21451, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "36-36", "session_id": 21451, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "Right, then we bring down the next digit, which is 7", "session_id": 21451, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "Ok", "session_id": 21451, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "so 7 is our new number to work on.", "session_id": 21451, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "how many times does 6 go into 7?", "session_id": 21451, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "1", "session_id": 21451, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "What should be do next?", "session_id": 21451, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "7-1", "session_id": 21451, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "Every time you put a new number up top (the quotient), you multiply it times the divisor", "session_id": 21451, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "so it's 1 times 6", "session_id": 21451, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "6", "session_id": 21451, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "so the answer 761 with a remainder of 1", "session_id": 21451, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "Okay", "session_id": 21451, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "Thank you", "session_id": 21451, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "you are welcome", "session_id": 21451, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "are you all set then?", "session_id": 21451, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "Yes I just wanted to try one problem", "session_id": 21451, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "OK.", "session_id": 21451, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "have a good day!", "session_id": 21451, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "You too", "session_id": 21451, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "bye", "session_id": 21451, "sequence_id": 47, "annotations": []}
{"role": "student", "content": "i need help with congruent triangles", "session_id": 4080, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "Hi!", "session_id": 4080, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "hi", "session_id": 4080, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "what specifically about congruent triangles?", "session_id": 4080, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "i need help understanding the proofs and how to find each one", "session_id": 4080, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "okay!", "session_id": 4080, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "do you have a specific question", "session_id": 4080, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "that we can work on?", "session_id": 4080, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "no not right now", "session_id": 4080, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "ok let me find one give me a quick second", "session_id": 4080, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "ok", "session_id": 4080, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "i just want to know how to figure out if a triangle is sss, asa, aas, sas, or hl", "session_id": 4080, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "Ohhhhh", "session_id": 4080, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "ok so congruency", "session_id": 4080, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "yes", "session_id": 4080, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "ok can you see the triangle drawn?", "session_id": 4080, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "yes", "session_id": 4080, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "ok so this triangle is basically two right triangles merged together", "session_id": 4080, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "ok", "session_id": 4080, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "so in both triangles there is a right angle!", "session_id": 4080, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "and that right angle is in between two congruent sides", "session_id": 4080, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "and you know they are congruent from the line markings", "session_id": 4080, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "the two circled is 1", "session_id": 4080, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "and then the sqiggle in the middle is another", "session_id": 4080, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "so these right triangles are congruent by sas congruency theorum", "session_id": 4080, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "and to set up a proof of this we would say that it is given that they have a shared angle", "session_id": 4080, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "and it is given that they have two shared sides", "session_id": 4080, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "so therefore it is congruent by side-angle-side congruency theorem", "session_id": 4080, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "do you need me to break that down more?", "session_id": 4080, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "yes please", "session_id": 4080, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "ok!", "session_id": 4080, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "let me give another problem that might b easier", "session_id": 4080, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "ok do you see this drawing?", "session_id": 4080, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "yes", "session_id": 4080, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "ok perfect", "session_id": 4080, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "so as we can see we have 3 triangles", "session_id": 4080, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "triangle BDC", "session_id": 4080, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "triangle BAD", "session_id": 4080, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "and triangle CAD", "session_id": 4080, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "so in a proof we would make a chart like this", "session_id": 4080, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "and our first step is realizing that triangle BDC is an isosceles triangle and therefore A is the mid point of CB", "session_id": 4080, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "i have a question", "session_id": 4080, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "yes!", "session_id": 4080, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "is it possible that we can continue this later i have to leave my house and i can't continue right now", "session_id": 4080, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "Yes of course", "session_id": 4080, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "would i get you or someone else ?", "session_id": 4080, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "I'm not sure", "session_id": 4080, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "ok", "session_id": 4080, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "you might get some one else but thats ok!", "session_id": 4080, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "ok thank you", "session_id": 4080, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "Great job in this session! I can see that you got a better understanding of this!", "session_id": 4080, "sequence_id": 50, "annotations": []}
{"role": "student", "content": "football player.", "session_id": 6055, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "person", "session_id": 6055, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "Hey", "session_id": 6055, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "Hello, Alex\nLet's do this together, do we need to solve the question on the top?", "session_id": 6055, "sequence_id": 3, "annotations": [{"pii_type": "PERSON", "surrogate": "Alex", "start": 7, "end": 11}]}
{"role": "volunteer", "content": "Looks like you did all the steps, great job", "session_id": 6055, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "The answer is right?", "session_id": 6055, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "let me check", "session_id": 6055, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "This project is due tomorrow and it is a test grade.", "session_id": 6055, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "I\u2019m so worried", "session_id": 6055, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "The ones in the boxes are my answers.", "session_id": 6055, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "got it, it seems almost right, just write the p in the quetion as q also for the second line, you might have mistaken the q as a p", "session_id": 6055, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "the answer is correct, great job!", "session_id": 6055, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "Thank you.", "session_id": 6055, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "is that it, do you need help with anything else?", "session_id": 6055, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "or confirming any other answers?", "session_id": 6055, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "I am confident in the rest of my work. Thank you for the help!", "session_id": 6055, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "no problem, have a great day and good luck for your project!", "session_id": 6055, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "Thank you!", "session_id": 6055, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "hello", "session_id": 6441, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "Hello", "session_id": 6441, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "I need help with dividing numbers in scientific notation", "session_id": 6441, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 6441, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "can you show me your problem?", "session_id": 6441, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "Hello", "session_id": 6441, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "Can you hear me", "session_id": 6441, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "I can read what you are saying", "session_id": 6441, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "Are you able to use voice?", "session_id": 6441, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "sorry, no", "session_id": 6441, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "Ohh", "session_id": 6441, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "I don\u2019t understand much without voice", "session_id": 6441, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "You are welcome to try a new session with a different tutor.", "session_id": 6441, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "Yes please I\u2019m so sorry", "session_id": 6441, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "No problem", "session_id": 6441, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "bye", "session_id": 6441, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "Bye", "session_id": 6441, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "I need help solving problems I got wrong, to help my study for a retake quiz ", "session_id": 6510, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "Hello how is it going", "session_id": 6510, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "Sure", "session_id": 6510, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "How can I help with that?", "session_id": 6510, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "Hi I\u2019d like you to help me solve the problems ", "session_id": 6510, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "Sure", "session_id": 6510, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "Please put them on the board", "session_id": 6510, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "The function is defined as g(x)=(x^2+1)^3 find the slope of the tangent line to the graph of g(x) at x=1", "session_id": 6510, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "Alright then", "session_id": 6510, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "Our first step is to find the derivative of g(x)", "session_id": 6510, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "Since the derivative is the slope of the tangent line at any given point of a function", "session_id": 6510, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "To find the derivative of g(x), we use the chain rule; outer function * inner function. I'll show on the board.", "session_id": 6510, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "g'(x) = 6x*(x^2+1)^2", "session_id": 6510, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "Are you there?", "session_id": 6510, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "Yeah ", "session_id": 6510, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "I solved that far but after that I got stuck ", "session_id": 6510, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "Okay now", "session_id": 6510, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "We just plug in 1 into g'(x)", "session_id": 6510, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "And the answer to that is the slope at x = 1", "session_id": 6510, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "g'(1) = 24", "session_id": 6510, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "Ok I just got that", "session_id": 6510, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "Nice", "session_id": 6510, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "Next it says find the equation of the tangent line to the graph of g(x) at x=1", "session_id": 6510, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "Okay", "session_id": 6510, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "Well we already have one component", "session_id": 6510, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "The slope at x = 1; 24", "session_id": 6510, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "And we have the x-coordinate; 1", "session_id": 6510, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "Now we need to find the y-coordinate", "session_id": 6510, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "To do this, we plug in 1 for x into g(x)", "session_id": 6510, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "g(1) = (1^2+1)^3", "session_id": 6510, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "g(1) = 2^3", "session_id": 6510, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "g(1) = 8", "session_id": 6510, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "So, the equation is:", "session_id": 6510, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "y-8=24(x-1)", "session_id": 6510, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "Ok that\u2019s what I got", "session_id": 6510, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "Cool", "session_id": 6510, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "And it makes sense using the point-slope form", "session_id": 6510, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": ":)", "session_id": 6510, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "Next it says determine the points if any at which the graph of g(x) has a horizontal tangent ", "session_id": 6510, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "Alright", "session_id": 6510, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "g(x) has a horizontal tangent when g'(x) = 0", "session_id": 6510, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "We already know g'(x)", "session_id": 6510, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "g'(x) = 6x(x^2+1)^2", "session_id": 6510, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "To solve for any horizontal tangents, we do the following:", "session_id": 6510, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "6x(x^2+1)^2 = 0", "session_id": 6510, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "x = 0 using zero product property", "session_id": 6510, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "So, g(x) has a horizontal tangent when x = 0", "session_id": 6510, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "I\u2019m confused ", "session_id": 6510, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "Which part?", "session_id": 6510, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "After I set it to 0 how do I find the points", "session_id": 6510, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "Well using Algebra", "session_id": 6510, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "(6x) * ((x^2+1)^2) = 0", "session_id": 6510, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "6x = 0", "session_id": 6510, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "x = 0", "session_id": 6510, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "The other factor gives us the square root of -1, which is imaginary", "session_id": 6510, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "When set equal to zero", "session_id": 6510, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "So, x = 0 is the only point where there is a horizontal tangent", "session_id": 6510, "sequence_id": 56, "annotations": []}
{"role": "student", "content": "Isn\u2019t 2 one of the points ", "session_id": 6510, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "How come?", "session_id": 6510, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "It can't be", "session_id": 6510, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "g'(2) = 300", "session_id": 6510, "sequence_id": 60, "annotations": []}
{"role": "student", "content": "Or isn\u2019t one 1", "session_id": 6510, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "?", "session_id": 6510, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "g'(1) = 24", "session_id": 6510, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "We proved this earlier remember", "session_id": 6510, "sequence_id": 64, "annotations": []}
{"role": "student", "content": "Yeah so wouldn\u2019t the point be 1 and 0", "session_id": 6510, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "OH", "session_id": 6510, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "I see what you mean...", "session_id": 6510, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "Apologies", "session_id": 6510, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "No, it would be (0, 1)", "session_id": 6510, "sequence_id": 69, "annotations": []}
{"role": "student", "content": "You have me confused can you please explain why they are correct ", "session_id": 6510, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "Okay", "session_id": 6510, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "A horizontal tangent means the derivative at a given point is equal to zero, correct?", "session_id": 6510, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "Meaning g'(x) = 0 with x being the given point", "session_id": 6510, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "Can we agree on this?", "session_id": 6510, "sequence_id": 74, "annotations": []}
{"role": "student", "content": "Yes ", "session_id": 6510, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "Okay great", "session_id": 6510, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "Now, we've already found what g'(x) is", "session_id": 6510, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "g'(x) = 6x * (x^2+1)^2", "session_id": 6510, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "Yes?", "session_id": 6510, "sequence_id": 79, "annotations": []}
{"role": "student", "content": "Yes ", "session_id": 6510, "sequence_id": 80, "annotations": []}
{"role": "volunteer", "content": "Great", "session_id": 6510, "sequence_id": 81, "annotations": []}
{"role": "volunteer", "content": "Now, to find any horizontal tangents, we do the following (set g'(x) = 0):", "session_id": 6510, "sequence_id": 82, "annotations": []}
{"role": "volunteer", "content": "6x * (x^2+1)^2 = 0", "session_id": 6510, "sequence_id": 83, "annotations": []}
{"role": "volunteer", "content": "Yes?", "session_id": 6510, "sequence_id": 84, "annotations": []}
{"role": "student", "content": "Yes ", "session_id": 6510, "sequence_id": 85, "annotations": []}
{"role": "volunteer", "content": "Great", "session_id": 6510, "sequence_id": 86, "annotations": []}
{"role": "volunteer", "content": "Now, we have the product of two factors", "session_id": 6510, "sequence_id": 87, "annotations": []}
{"role": "volunteer", "content": "If either one of the factors is equal to zero, we know the whole product must equal 0", "session_id": 6510, "sequence_id": 88, "annotations": []}
{"role": "volunteer", "content": "So, we set both factors equal to 0", "session_id": 6510, "sequence_id": 89, "annotations": []}
{"role": "volunteer", "content": "6x = 0, (x^2+1)^2 = 0", "session_id": 6510, "sequence_id": 90, "annotations": []}
{"role": "volunteer", "content": "Doing the Algebra, we get x = 0", "session_id": 6510, "sequence_id": 91, "annotations": []}
{"role": "student", "content": "So for that type of problem is one of the points always 0", "session_id": 6510, "sequence_id": 92, "annotations": []}
{"role": "volunteer", "content": "Not always", "session_id": 6510, "sequence_id": 93, "annotations": []}
{"role": "volunteer", "content": "It just happens to be for this problem :)", "session_id": 6510, "sequence_id": 94, "annotations": []}
{"role": "volunteer", "content": "Now that x = 0, to find the point, we plug it back into g(x). Basically we want to find g(0) for the y-coordinate", "session_id": 6510, "sequence_id": 95, "annotations": []}
{"role": "volunteer", "content": "Doing this, we get g(0) = 1", "session_id": 6510, "sequence_id": 96, "annotations": []}
{"role": "volunteer", "content": "So, the point where g(x) has a horizontal tangent is (0, 1).", "session_id": 6510, "sequence_id": 97, "annotations": []}
{"role": "volunteer", "content": "That made sense for me; how about you?", "session_id": 6510, "sequence_id": 98, "annotations": []}
{"role": "volunteer", "content": "I want to make sure you're able to understand it as well :)", "session_id": 6510, "sequence_id": 99, "annotations": []}
{"role": "student", "content": "Yeah I think so ", "session_id": 6510, "sequence_id": 100, "annotations": []}
{"role": "volunteer", "content": "Alright", "session_id": 6510, "sequence_id": 101, "annotations": []}
{"role": "volunteer", "content": "Apologies, but I have to go now", "session_id": 6510, "sequence_id": 102, "annotations": []}
{"role": "volunteer", "content": "You can find a new coach once I end the session though!", "session_id": 6510, "sequence_id": 103, "annotations": []}
{"role": "volunteer", "content": "Bye!", "session_id": 6510, "sequence_id": 104, "annotations": []}
{"role": "volunteer", "content": "Hi Liam! What do you need help with today?", "session_id": 6623, "sequence_id": 0, "annotations": [{"pii_type": "PERSON", "surrogate": "Liam", "start": 3, "end": 7}]}
{"role": "student", "content": "1 step questions", "session_id": 6623, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "Sure! Can you take a picture of the problem and upload onto the whiteboard?", "session_id": 6623, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "Sure but can you make some and help me with them I don\u2019t understand at all", "session_id": 6623, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "Of course!", "session_id": 6623, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "But do you first have any specific problems?", "session_id": 6623, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "Thank you so much I don\u2019t understand at all and I\u2019m taking the SAT in October", "session_id": 6623, "sequence_id": 6, "annotations": [{"pii_type": "DATE", "surrogate": "October", "start": 70, "end": 77}]}
{"role": "volunteer", "content": "Oh! Good luck for that! I'm sure you're going to do great!", "session_id": 6623, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "Ok, so can you give me an example problem so that I know what to make?", "session_id": 6623, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "-5c>15 and 75x>125 like these", "session_id": 6623, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "so solving it like this?", "session_id": 6623, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "Don't worry, i'll explain it to you if you need it", "session_id": 6623, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "Yes please", "session_id": 6623, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "Ok, so to get rid of the -5, you have to divide by -5 on both sides", "session_id": 6623, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "and when dividing by a negative number, you flip the sign", "session_id": 6623, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "Do you understand, should I make you a practice problem?", "session_id": 6623, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "Make me practice please", "session_id": 6623, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "Sure!", "session_id": 6623, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "do you think you could solve this?", "session_id": 6623, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "Yes I dived by 10 right first?", "session_id": 6623, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "Correct!", "session_id": 6623, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "Do you know what to do now?", "session_id": 6623, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "Do I change the sign or no since it positive?", "session_id": 6623, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "No, you don't change the sign if you are dividing by a positive number", "session_id": 6623, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "100 divided by 10 is 10 and ok", "session_id": 6623, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "Good job!", "session_id": 6623, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "That's correct!", "session_id": 6623, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "Should I make another one?", "session_id": 6623, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "Thank you can you give me one like -5c>15 please that where I have trouble as well", "session_id": 6623, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "Sure!", "session_id": 6623, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "Try this!", "session_id": 6623, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "Ok", "session_id": 6623, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "Do you divide by -14?", "session_id": 6623, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "Yes!", "session_id": 6623, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "28 divide by -14 is -2", "session_id": 6623, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "Yes...", "session_id": 6623, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "And we change the sign right?", "session_id": 6623, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "CORRECT!", "session_id": 6623, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "good job!!!", "session_id": 6623, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "Thank you", "session_id": 6623, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "Should we do more?", "session_id": 6623, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "Yes please do this one please Professor Anya", "session_id": 6623, "sequence_id": 41, "annotations": [{"pii_type": "PERSON", "surrogate": "Professor Anya", "start": 30, "end": 44}]}
{"role": "volunteer", "content": "Ok, so remember, you are trying to get x by itself on one side.", "session_id": 6623, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "So you can add 6 on both sides", "session_id": 6623, "sequence_id": 43, "annotations": []}
{"role": "student", "content": "Yes so would I do +6?", "session_id": 6623, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "Yes!", "session_id": 6623, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "Do you want to do more practice problems?", "session_id": 6623, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "Like this one?", "session_id": 6623, "sequence_id": 47, "annotations": []}
{"role": "student", "content": "It would be x<9 and yes", "session_id": 6623, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "Try this one!", "session_id": 6623, "sequence_id": 49, "annotations": []}
{"role": "student", "content": "-15 on both sides", "session_id": 6623, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "ok..", "session_id": 6623, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "Is it 9?", "session_id": 6623, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "Not quite. What's 14-15?", "session_id": 6623, "sequence_id": 53, "annotations": []}
{"role": "student", "content": "-1", "session_id": 6623, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "Correct!", "session_id": 6623, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "Good job!", "session_id": 6623, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "Do you understand?", "session_id": 6623, "sequence_id": 57, "annotations": []}
{"role": "student", "content": "Yes and can you help me with 4x<12", "session_id": 6623, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "Sure!", "session_id": 6623, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "Ok, what did I tell you earlier about getting x alone when it is being multiplied my something?", "session_id": 6623, "sequence_id": 60, "annotations": []}
{"role": "student", "content": "Would it be -4 on both sides?", "session_id": 6623, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "No, that would be if it was x+4, but right now, it is 4 times x", "session_id": 6623, "sequence_id": 62, "annotations": []}
{"role": "student", "content": "I\u2019m confused", "session_id": 6623, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "Ok, let me explain", "session_id": 6623, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "You always have to do the opposite thing to get rid of something.", "session_id": 6623, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "For example, to get rid of +4, you have to do -4", "session_id": 6623, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "and to get rid of times 4, you have to divide by 4", "session_id": 6623, "sequence_id": 67, "annotations": []}
{"role": "student", "content": "Ohh i understand now", "session_id": 6623, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "Good job! It can seem a bit complicated, but once you understand, it's really easy!", "session_id": 6623, "sequence_id": 69, "annotations": []}
{"role": "student", "content": "Would it be 3?", "session_id": 6623, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "YES! great job!!!", "session_id": 6623, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "Is there any more problems?", "session_id": 6623, "sequence_id": 72, "annotations": []}
{"role": "student", "content": "No that was it", "session_id": 6623, "sequence_id": 73, "annotations": []}
{"role": "student", "content": "Thank you", "session_id": 6623, "sequence_id": 74, "annotations": []}
{"role": "volunteer", "content": "Nice! Good job today", "session_id": 6623, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "Working through complicated problems!", "session_id": 6623, "sequence_id": 76, "annotations": []}
{"role": "student", "content": "Thank you", "session_id": 6623, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "Well, have a nice day!", "session_id": 6623, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "I wish you good luck on the SAT!", "session_id": 6623, "sequence_id": 79, "annotations": []}
{"role": "student", "content": "You to thank you so much bye", "session_id": 6623, "sequence_id": 80, "annotations": []}
{"role": "student", "content": "ok", "session_id": 7399, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "slope and intercept graph", "session_id": 7399, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "hi", "session_id": 7399, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "Hello", "session_id": 7399, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "How can I help", "session_id": 7399, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "slope and intercept graph", "session_id": 7399, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "Graphing lines and slope", "session_id": 7399, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "Ok?", "session_id": 7399, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "For this lemme draw you how it could look like.", "session_id": 7399, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "So for slope", "session_id": 7399, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "It stabds for m", "session_id": 7399, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "Negative is a downward line like this one.", "session_id": 7399, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "For positive it would stand upward.", "session_id": 7399, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "For y intercept", "session_id": 7399, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "That is end part of equation", "session_id": 7399, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "And for x intrrcept", "session_id": 7399, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "It is if y is 0 and x is of higher lower or even 0 value", "session_id": 7399, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "And for y intercept", "session_id": 7399, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "It is if x is 0 value and y is of possibly different or equally 0 value", "session_id": 7399, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "Ok?", "session_id": 7399, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "So I hope this explains.", "session_id": 7399, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "Ok bye", "session_id": 7399, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "Hi how may I help you today?", "session_id": 9264, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "hello", "session_id": 9264, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "I think there is a slight mistake in your work since we are not using e even though it says exponential, we are actually using (1+r) instead for part A, but your work seems correct other than that", "session_id": 9264, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "well", "session_id": 9264, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "isnt this e", "session_id": 9264, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "because", "session_id": 9264, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "population growth", "session_id": 9264, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "is always exponential", "session_id": 9264, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "true but e is used for continues we would use 1 + r because population isn't growing at a continues rate", "session_id": 9264, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "sometimes it can dip and stuff", "session_id": 9264, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "what type of poopulation doesnt grow continiously", "session_id": 9264, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "Every type of population doesn't grow continuesly", "session_id": 9264, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "really", "session_id": 9264, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "Yes for example", "session_id": 9264, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "I will try to make this simplified, but for like animals their populations change a lot since they get eaten they also have to produce more to stay alive otherwise they will go extinct, so that is how population stabilizes and doesn'ty continuesly increase", "session_id": 9264, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "Or like e is more popularly used with derivatives when you get to calculus and its used for compounding interest in business", "session_id": 9264, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "But don't worry you had all the right steps", "session_id": 9264, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "yes", "session_id": 9264, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "is dis all right", "session_id": 9264, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "Yup", "session_id": 9264, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "My teacher in when I took precalc shpowed me this trick as well for logarithms", "session_id": 9264, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "She called it the alligator", "session_id": 9264, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "But I think you understand so its fine", "session_id": 9264, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "All Correct", "session_id": 9264, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "my trick doesnt rly work", "session_id": 9264, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "causr anything divided by 0 is undefined", "session_id": 9264, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "true but", "session_id": 9264, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "I think just remember that log 1 is 0", "session_id": 9264, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "same for ln 1 = 0", "session_id": 9264, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "wats answer", "session_id": 9264, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "0", "session_id": 9264, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "since anything to the 0th power = 1", "session_id": 9264, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "Remember that okay?", "session_id": 9264, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "pretty sure the range of logs is always -infinity to finitiniy", "session_id": 9264, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "unless theres something werid going on", "session_id": 9264, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "Sorry you are right", "session_id": 9264, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "my mistake", "session_id": 9264, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "continue", "session_id": 9264, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "hmm", "session_id": 9264, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "rewrite the radical in terms of fractional exponents", "session_id": 9264, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "Alex do b i", "session_id": 9264, "sequence_id": 40, "annotations": [{"pii_type": "PERSON", "surrogate": "Alex", "start": 0, "end": 4}]}
{"role": "student", "content": "i wanan see how u do it", "session_id": 9264, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "Ok sure thing", "session_id": 9264, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "We know ln and e can cancel so", "session_id": 9264, "sequence_id": 43, "annotations": []}
{"role": "student", "content": "dam", "session_id": 9264, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "Double check continues on because it refers to the x axis", "session_id": 9264, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "or like x coordinate", "session_id": 9264, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "huh", "session_id": 9264, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "nice", "session_id": 9264, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "hmm", "session_id": 9264, "sequence_id": 49, "annotations": []}
{"role": "student", "content": "Hello! I could really use some help right now. I just learned this topic today, and while I somewhat understand it, I\u2019m still a bit confused. Could you please go over the original problem with me and then create a similar one for extra practice? Here\u2019s the link to the PDF: https://docs.google.com/document/d/1a2b3c4d5e6f7g8h9i0j/", "session_id": 9360, "sequence_id": 0, "annotations": [{"pii_type": "URL", "surrogate": "https://docs.google.com/document/d/1a2b3c4d5e6f7g8h9i0j/", "start": 274, "end": 330}]}
{"role": "volunteer", "content": "ok", "session_id": 9360, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "https://docs.google.com/document/d/1a2b3c4d5e6f7g8h9i0j/ file not found", "session_id": 9360, "sequence_id": 2, "annotations": [{"pii_type": "URL", "surrogate": "https://docs.google.com/document/d/1a2b3c4d5e6f7g8h9i0j/", "start": 0, "end": 56}]}
{"role": "student", "content": "Holdon", "session_id": 9360, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "Try again", "session_id": 9360, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "same thing happened", "session_id": 9360, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "sorry I have to drop", "session_id": 9360, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "bye", "session_id": 9360, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "Ok, one moment", "session_id": 9360, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "kk", "session_id": 9360, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "hi", "session_id": 9833, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "can we use voice", "session_id": 9833, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "Hi Ben, how can I help?", "session_id": 9833, "sequence_id": 2, "annotations": [{"pii_type": "PERSON", "surrogate": "Ben", "start": 3, "end": 6}]}
{"role": "volunteer", "content": "Yes, we can, one second", "session_id": 9833, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "Brooklyn", "session_id": 9833, "sequence_id": 4, "annotations": [{"pii_type": "LOCATION", "surrogate": "Brooklyn", "start": 0, "end": 8}]}
{"role": "volunteer", "content": "Hi. Uh, can you hear me?", "session_id": 9833, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "Yeah, I can hear", "session_id": 9833, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "you", "session_id": 9833, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 9833, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 9833, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "So, uh, what are we working on?", "session_id": 9833, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "Um, angle of elevation. I was just confused when some.", "session_id": 9833, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "OK. Um", "session_id": 9833, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 9833, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "do you have a specific problem or something that you were working on?", "session_id": 9833, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 9833, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 9833, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "Uh, can I see it", "session_id": 9833, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 9833, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "Um, yeah, I was just like confused on this.", "session_id": 9833, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "um", "session_id": 9833, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "I'm gonna make it a little bigger so that I can see.", "session_id": 9833, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "Uh, DME is a standard avionic equipment on a commercial airplane. It's just the distance from a plane to a radar station.", "session_id": 9833, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "the distance from a plane to a radar station 160 miles. The angle of depression is 33 degrees. Find the number of ground miles from a point directly below the plane to the radar station.", "session_id": 9833, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "Uh, yeah, that looks good to me. Uh, let's see.", "session_id": 9833, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "I was just confused on where to put 160 in like the angle, like that we would be finding X, but I would, would X be here?", "session_id": 9833, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "Yeah, that's correct", "session_id": 9833, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "Yeah, but like I was confused on where to put 160.", "session_id": 9833, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "I be here.", "session_id": 9833, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "OK. So what do we know about 160?", "session_id": 9833, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "um that", "session_id": 9833, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "it's at the distance from the plane to the radar station.", "session_id": 9833, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "Good. Uh", "session_id": 9833, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "just so that we're on the same page. Can you mark the plane and the radar station on the", "session_id": 9833, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "on the triangle", "session_id": 9833, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 9833, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "Wouldn't it be here and then this is the plane when the Raiders see from here.", "session_id": 9833, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "Exactly", "session_id": 9833, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "Oh, 160 would be here.", "session_id": 9833, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "Perfect", "session_id": 9833, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "OK, so then if we do", "session_id": 9833, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "um, so then opposite over", "session_id": 9833, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "wait, do we know this is a hypotenuse, right?", "session_id": 9833, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "160", "session_id": 9833, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "Yeah, 160 is the hypotenuse, exactly.", "session_id": 9833, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "So it'd be opposite over hippotenus would be sign.", "session_id": 9833, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "Perfect", "session_id": 9833, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "33", "session_id": 9833, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "Exactly", "session_id": 9833, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "So it would be", "session_id": 9833, "sequence_id": 49, "annotations": []}
{"role": "student", "content": "87.14.", "session_id": 9833, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "Uh, I don't know if a calculator on me. Is 160 times sin 33?", "session_id": 9833, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "Yeah.", "session_id": 9833, "sequence_id": 52, "annotations": []}
{"role": "student", "content": "um", "session_id": 9833, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "OK, good. Uh, then you're correct.", "session_id": 9833, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "as far as I can go", "session_id": 9833, "sequence_id": 55, "annotations": []}
{"role": "student", "content": "um, I have another question.", "session_id": 9833, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "OK?", "session_id": 9833, "sequence_id": 57, "annotations": []}
{"role": "student", "content": "I was going to get a picture of this.", "session_id": 9833, "sequence_id": 58, "annotations": []}
{"role": "student", "content": "Mm", "session_id": 9833, "sequence_id": 59, "annotations": []}
{"role": "student", "content": "Um, I just had another.", "session_id": 9833, "sequence_id": 60, "annotations": []}
{"role": "student", "content": "on this.", "session_id": 9833, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "Mhm", "session_id": 9833, "sequence_id": 62, "annotations": []}
{"role": "student", "content": "wait", "session_id": 9833, "sequence_id": 63, "annotations": []}
{"role": "student", "content": "over preparing to land. OK, so this would just be 13.", "session_id": 9833, "sequence_id": 64, "annotations": []}
{"role": "student", "content": "and then you would find like.", "session_id": 9833, "sequence_id": 65, "annotations": []}
{"role": "student", "content": "wait", "session_id": 9833, "sequence_id": 66, "annotations": []}
{"role": "student", "content": "what angles does the approach make with the runway, so it would be", "session_id": 9833, "sequence_id": 67, "annotations": []}
{"role": "student", "content": "this, right", "session_id": 9833, "sequence_id": 68, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 9833, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "Where's the runway", "session_id": 9833, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "You're close", "session_id": 9833, "sequence_id": 71, "annotations": []}
{"role": "student", "content": "Um, the runway", "session_id": 9833, "sequence_id": 72, "annotations": []}
{"role": "student", "content": "is down here", "session_id": 9833, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "There you go", "session_id": 9833, "sequence_id": 74, "annotations": []}
{"role": "volunteer", "content": "Over your breaks back", "session_id": 9833, "sequence_id": 75, "annotations": []}
{"role": "student", "content": "What angle does the? Oh yeah, you're right. It would just be.", "session_id": 9833, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "Nice", "session_id": 9833, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "Perfect", "session_id": 9833, "sequence_id": 78, "annotations": []}
{"role": "student", "content": "Um, and then you would do opposite over hypotenuse, so it'd be a sign.", "session_id": 9833, "sequence_id": 79, "annotations": []}
{"role": "student", "content": "Um, and then you do", "session_id": 9833, "sequence_id": 80, "annotations": []}
{"role": "student", "content": "3 5.025 degrees.", "session_id": 9833, "sequence_id": 81, "annotations": []}
{"role": "volunteer", "content": "Uh, looks good to me if, if that's what your calculator gave you.", "session_id": 9833, "sequence_id": 82, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 9833, "sequence_id": 83, "annotations": []}
{"role": "volunteer", "content": "OK. Seems like you've got it.", "session_id": 9833, "sequence_id": 84, "annotations": []}
{"role": "student", "content": "um", "session_id": 9833, "sequence_id": 85, "annotations": []}
{"role": "student", "content": "hm", "session_id": 9833, "sequence_id": 86, "annotations": []}
{"role": "student", "content": "um, I was confused on this one too.", "session_id": 9833, "sequence_id": 87, "annotations": []}
{"role": "student", "content": "So it would be Iosceles triangle.", "session_id": 9833, "sequence_id": 88, "annotations": []}
{"role": "student", "content": "The altitude is", "session_id": 9833, "sequence_id": 89, "annotations": []}
{"role": "student", "content": "80 ft", "session_id": 9833, "sequence_id": 90, "annotations": []}
{"role": "student", "content": "What are the measures of the base angle.", "session_id": 9833, "sequence_id": 91, "annotations": []}
{"role": "student", "content": "base is 58.", "session_id": 9833, "sequence_id": 92, "annotations": []}
{"role": "student", "content": "Mm.", "session_id": 9833, "sequence_id": 93, "annotations": []}
{"role": "student", "content": "So this should be 20, I mean, sorry.", "session_id": 9833, "sequence_id": 94, "annotations": []}
{"role": "student", "content": "58 divided by 2 is 29.", "session_id": 9833, "sequence_id": 95, "annotations": []}
{"role": "student", "content": "and it's asking what are the names?", "session_id": 9833, "sequence_id": 96, "annotations": []}
{"role": "student", "content": "Wait, what are the measures of the base angles.", "session_id": 9833, "sequence_id": 97, "annotations": []}
{"role": "student", "content": "Wait, how would you", "session_id": 9833, "sequence_id": 98, "annotations": []}
{"role": "student", "content": "do that?", "session_id": 9833, "sequence_id": 99, "annotations": []}
{"role": "volunteer", "content": "The, so the measures of the base, the base angles are the angles that the triangle forms with the base, so it's going to be these guys", "session_id": 9833, "sequence_id": 100, "annotations": []}
{"role": "volunteer", "content": "uh right", "session_id": 9833, "sequence_id": 101, "annotations": []}
{"role": "volunteer", "content": "here, uh, I'll, I'll mark them so you can see.", "session_id": 9833, "sequence_id": 102, "annotations": []}
{"role": "student", "content": "How would you, um, find the measures of them?", "session_id": 9833, "sequence_id": 103, "annotations": []}
{"role": "volunteer", "content": "Well, um,", "session_id": 9833, "sequence_id": 104, "annotations": []}
{"role": "student", "content": "Hm", "session_id": 9833, "sequence_id": 105, "annotations": []}
{"role": "volunteer", "content": "you have the 29 and you have the 80, right? Uh, what do you know about the altitude relative to the base. There's a", "session_id": 9833, "sequence_id": 106, "annotations": []}
{"role": "student", "content": "um, it's 90 degrees.", "session_id": 9833, "sequence_id": 107, "annotations": []}
{"role": "volunteer", "content": "there you go. Perfect.", "session_id": 9833, "sequence_id": 108, "annotations": []}
{"role": "student", "content": "Oh, so it's", "session_id": 9833, "sequence_id": 109, "annotations": []}
{"role": "student", "content": "um.", "session_id": 9833, "sequence_id": 110, "annotations": []}
{"role": "student", "content": "so it'll be 30 degree, I mean, sorry.", "session_id": 9833, "sequence_id": 111, "annotations": []}
{"role": "student", "content": "this would be um", "session_id": 9833, "sequence_id": 112, "annotations": []}
{"role": "student", "content": "60 degrees", "session_id": 9833, "sequence_id": 113, "annotations": []}
{"role": "volunteer", "content": "How did you get 60 degrees?", "session_id": 9833, "sequence_id": 114, "annotations": []}
{"role": "student", "content": "Mm, cause there are 69 triangle.", "session_id": 9833, "sequence_id": 115, "annotations": []}
{"role": "volunteer", "content": "Wait, why is that a 30, 60, 90 triangle.", "session_id": 9833, "sequence_id": 116, "annotations": []}
{"role": "student", "content": "Oh wait, that doesn't make sense.", "session_id": 9833, "sequence_id": 117, "annotations": []}
{"role": "student", "content": "Hm, oh wait, oops, you would just do Pythagorean theorem for the", "session_id": 9833, "sequence_id": 118, "annotations": []}
{"role": "student", "content": "lengths of the legs", "session_id": 9833, "sequence_id": 119, "annotations": []}
{"role": "student", "content": "right.", "session_id": 9833, "sequence_id": 120, "annotations": []}
{"role": "student", "content": "Yeah, so", "session_id": 9833, "sequence_id": 121, "annotations": []}
{"role": "volunteer", "content": "Pythagorean theorem would give you the hypotenuse, and it would work fine for that. But you don't need the hypotenuse for this.", "session_id": 9833, "sequence_id": 122, "annotations": []}
{"role": "student", "content": "so we, but doesn't it say", "session_id": 9833, "sequence_id": 123, "annotations": []}
{"role": "student", "content": "what are the lengths of the legs?", "session_id": 9833, "sequence_id": 124, "annotations": []}
{"role": "volunteer", "content": "Oh", "session_id": 9833, "sequence_id": 125, "annotations": []}
{"role": "volunteer", "content": "you're right, it does say what are the lengths, what are the lengths of the legs? Yes, that would.", "session_id": 9833, "sequence_id": 126, "annotations": []}
{"role": "volunteer", "content": "that would work for that", "session_id": 9833, "sequence_id": 127, "annotations": []}
{"role": "student", "content": "So 29 2 + 802.", "session_id": 9833, "sequence_id": 128, "annotations": []}
{"role": "student", "content": "So the answer, so this would just be", "session_id": 9833, "sequence_id": 129, "annotations": []}
{"role": "student", "content": "85.", "session_id": 9833, "sequence_id": 130, "annotations": []}
{"role": "student", "content": "85.1", "session_id": 9833, "sequence_id": 131, "annotations": []}
{"role": "volunteer", "content": "Sounds about right", "session_id": 9833, "sequence_id": 132, "annotations": []}
{"role": "volunteer", "content": "If that's what your calculator said.", "session_id": 9833, "sequence_id": 133, "annotations": []}
{"role": "volunteer", "content": "Yeah, you know I'll open a calculator and plug it in.", "session_id": 9833, "sequence_id": 134, "annotations": []}
{"role": "student", "content": "What are the measures of the base angles, so", "session_id": 9833, "sequence_id": 135, "annotations": []}
{"role": "student", "content": "hm", "session_id": 9833, "sequence_id": 136, "annotations": []}
{"role": "student", "content": "wait, uh, how would you do that?", "session_id": 9833, "sequence_id": 137, "annotations": []}
{"role": "student", "content": "Oh wait", "session_id": 9833, "sequence_id": 138, "annotations": []}
{"role": "volunteer", "content": "It's another trigonometry platform.", "session_id": 9833, "sequence_id": 139, "annotations": []}
{"role": "student", "content": "Oh wait, yeah, so you do, you could just do", "session_id": 9833, "sequence_id": 140, "annotations": []}
{"role": "student", "content": "opposite over adjacent, which is", "session_id": 9833, "sequence_id": 141, "annotations": []}
{"role": "student", "content": "10.", "session_id": 9833, "sequence_id": 142, "annotations": []}
{"role": "student", "content": "Hm", "session_id": 9833, "sequence_id": 143, "annotations": []}
{"role": "student", "content": "So it'd be 70.", "session_id": 9833, "sequence_id": 144, "annotations": []}
{"role": "student", "content": "07", "session_id": 9833, "sequence_id": 145, "annotations": []}
{"role": "student", "content": "degrees", "session_id": 9833, "sequence_id": 146, "annotations": []}
{"role": "volunteer", "content": "Sounds good to me", "session_id": 9833, "sequence_id": 147, "annotations": []}
{"role": "student", "content": "Hm", "session_id": 9833, "sequence_id": 148, "annotations": []}
{"role": "volunteer", "content": "Uh 70.07, right?", "session_id": 9833, "sequence_id": 149, "annotations": []}
{"role": "student", "content": "Oh yeah", "session_id": 9833, "sequence_id": 150, "annotations": []}
{"role": "student", "content": "Mm", "session_id": 9833, "sequence_id": 151, "annotations": []}
{"role": "student", "content": "the", "session_id": 9833, "sequence_id": 152, "annotations": []}
{"role": "student", "content": "Oh wait, this is the last question I have.", "session_id": 9833, "sequence_id": 153, "annotations": []}
{"role": "student", "content": "trouble on", "session_id": 9833, "sequence_id": 154, "annotations": []}
{"role": "student", "content": "So you're just trying to find x", "session_id": 9833, "sequence_id": 155, "annotations": []}
{"role": "student", "content": "Right", "session_id": 9833, "sequence_id": 156, "annotations": []}
{"role": "student", "content": "How far? Yeah.", "session_id": 9833, "sequence_id": 157, "annotations": []}
{"role": "volunteer", "content": "Yeah, that's the, that's the first question. Then there's a second.", "session_id": 9833, "sequence_id": 158, "annotations": []}
{"role": "student", "content": "And then you may find why, just how long is the wire after.", "session_id": 9833, "sequence_id": 159, "annotations": []}
{"role": "volunteer", "content": "Exactly", "session_id": 9833, "sequence_id": 160, "annotations": []}
{"role": "student", "content": "So then", "session_id": 9833, "sequence_id": 161, "annotations": []}
{"role": "student", "content": "adjacent", "session_id": 9833, "sequence_id": 162, "annotations": []}
{"role": "student", "content": "160.", "session_id": 9833, "sequence_id": 163, "annotations": []}
{"role": "student", "content": "186.6.", "session_id": 9833, "sequence_id": 164, "annotations": []}
{"role": "volunteer", "content": "Perfect", "session_id": 9833, "sequence_id": 165, "annotations": []}
{"role": "student", "content": "feet", "session_id": 9833, "sequence_id": 166, "annotations": []}
{"role": "student", "content": "and then why just.", "session_id": 9833, "sequence_id": 167, "annotations": []}
{"role": "student", "content": "um", "session_id": 9833, "sequence_id": 168, "annotations": []}
{"role": "student", "content": "it", "session_id": 9833, "sequence_id": 169, "annotations": []}
{"role": "student", "content": "adjacent overhead cottons, so the line.", "session_id": 9833, "sequence_id": 170, "annotations": []}
{"role": "student", "content": "um, 193", "session_id": 9833, "sequence_id": 171, "annotations": []}
{"role": "student", "content": "1", "session_id": 9833, "sequence_id": 172, "annotations": []}
{"role": "volunteer", "content": "Little bit of her", "session_id": 9833, "sequence_id": 173, "annotations": []}
{"role": "student", "content": "2", "session_id": 9833, "sequence_id": 174, "annotations": []}
{"role": "volunteer", "content": "Yeah, 02. Uh, yeah, that's correct. Good job.", "session_id": 9833, "sequence_id": 175, "annotations": []}
{"role": "student", "content": "OK, that's all.", "session_id": 9833, "sequence_id": 176, "annotations": []}
{"role": "volunteer", "content": "OK. Uh, do you have anything I should clarify or anything like that?", "session_id": 9833, "sequence_id": 177, "annotations": []}
{"role": "student", "content": "That's it.", "session_id": 9833, "sequence_id": 178, "annotations": []}
{"role": "volunteer", "content": "OK, bye then", "session_id": 9833, "sequence_id": 179, "annotations": []}
{"role": "student", "content": "Bye. Thank you", "session_id": 9833, "sequence_id": 180, "annotations": []}
{"role": "volunteer", "content": "Hi Alex, how can I help you?", "session_id": 10592, "sequence_id": 0, "annotations": [{"pii_type": "PERSON", "surrogate": "Alex", "start": 3, "end": 7}]}
{"role": "student", "content": "hi", "session_id": 10592, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "solve a polynomial function", "session_id": 10592, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "find all real solutions of the polynomial equation.", "session_id": 10592, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "i hate writing this board lol", "session_id": 10592, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "but i know i can do synthetic division here", "session_id": 10592, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "Yes, this white board is hard.", "session_id": 10592, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "so true", "session_id": 10592, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "Great start.  Why did you first try -2?", "session_id": 10592, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "i tested all of them", "session_id": 10592, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "and they gave too much remainders except -2", "session_id": 10592, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "i know -2 is a possible zero so far", "session_id": 10592, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "And -2 gave a zero remainder?", "session_id": 10592, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "Yes!!", "session_id": 10592, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "yes", "session_id": 10592, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "OK, so now what?", "session_id": 10592, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "the thing is should i continue doing sythetic", "session_id": 10592, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "thats where i am stuck", "session_id": 10592, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "i dont think i can use the quadratic formula as yet", "session_id": 10592, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "Why not use the quadratic formula?", "session_id": 10592, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "its a square root function", "session_id": 10592, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "It might be messy, but it WILL work. Right?", "session_id": 10592, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "yes", "session_id": 10592, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "i think so", "session_id": 10592, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "And you have a quadratic function.", "session_id": 10592, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "ohhh", "session_id": 10592, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "Yes, it will work.", "session_id": 10592, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "ok", "session_id": 10592, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "lemme me do this", "session_id": 10592, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "good so far?", "session_id": 10592, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "Let's review your quadratic formula equation.", "session_id": 10592, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "i see whats wrong", "session_id": 10592, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "hold on", "session_id": 10592, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "Careful, should be (-6)^2", "session_id": 10592, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "good?", "session_id": 10592, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "What is the square root of 132.25?", "session_id": 10592, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "Still all over 16?", "session_id": 10592, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "8", "session_id": 10592, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "(6+-(11.5))/16?", "session_id": 10592, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "yea", "session_id": 10592, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "The square root of 132.25 is 11.5.  You don't need to take the square root again?", "session_id": 10592, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "um", "session_id": 10592, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "maybe", "session_id": 10592, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "So 2 roots ;", "session_id": 10592, "sequence_id": 43, "annotations": []}
{"role": "student", "content": "yes", "session_id": 10592, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "(6+11.5)/16 and (6-11.5)/16", "session_id": 10592, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "ohhhh", "session_id": 10592, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "thank you", "session_id": 10592, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "Do you use DESMOS?", "session_id": 10592, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "yes", "session_id": 10592, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "You can check your answers by graphing the original polynomial.", "session_id": 10592, "sequence_id": 50, "annotations": []}
{"role": "student", "content": "okay", "session_id": 10592, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "This can be kind of tricky.", "session_id": 10592, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "It helps to stay very focused to avoid careless mistakes.  :)", "session_id": 10592, "sequence_id": 53, "annotations": []}
{"role": "student", "content": "definitely", "session_id": 10592, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "Great job!!", "session_id": 10592, "sequence_id": 55, "annotations": []}
{"role": "student", "content": "thanks", "session_id": 10592, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "Anything else?", "session_id": 10592, "sequence_id": 57, "annotations": []}
{"role": "student", "content": "yea", "session_id": 10592, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "OK, how do you find potential solutions?", "session_id": 10592, "sequence_id": 59, "annotations": []}
{"role": "student", "content": "list the possible rational zeros of ,\n\nsketch the graph of  so that some of the possible zeros in part (a) can be disregarded, and then\n\ndetermine all real zeros of .", "session_id": 10592, "sequence_id": 60, "annotations": []}
{"role": "student", "content": "sorry my thing is freezing", "session_id": 10592, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "You can start by testing the factors of +-15/factors of +-4", "session_id": 10592, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "Don't forget to divide by the factors of the leading coefficient, 4", "session_id": 10592, "sequence_id": 63, "annotations": []}
{"role": "student", "content": "how would i do that?", "session_id": 10592, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "factors of 15/factors of 4, +or -", "session_id": 10592, "sequence_id": 65, "annotations": []}
{"role": "student", "content": "soo", "session_id": 10592, "sequence_id": 66, "annotations": []}
{"role": "student", "content": "?", "session_id": 10592, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "+-(1,3,5,15)/(1,2,4)", "session_id": 10592, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "DESMOS graph shows the roots clearly.", "session_id": 10592, "sequence_id": 69, "annotations": []}
{"role": "student", "content": "the original one right?", "session_id": 10592, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "Yes, is it OK with your teacher to use \nDESMOS\n?", "session_id": 10592, "sequence_id": 71, "annotations": []}
{"role": "student", "content": "i just did", "session_id": 10592, "sequence_id": 72, "annotations": []}
{"role": "student", "content": "yes hes good with that", "session_id": 10592, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "What roots/zeroes did you see with DESMOS?", "session_id": 10592, "sequence_id": 74, "annotations": []}
{"role": "student", "content": "3", "session_id": 10592, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "What are their values?", "session_id": 10592, "sequence_id": 76, "annotations": []}
{"role": "student", "content": "the points?", "session_id": 10592, "sequence_id": 77, "annotations": []}
{"role": "student", "content": "i mean 4 roots", "session_id": 10592, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "Yes, I got -1, 1.5 and 2.5", "session_id": 10592, "sequence_id": 79, "annotations": []}
{"role": "student", "content": "yes", "session_id": 10592, "sequence_id": 80, "annotations": []}
{"role": "volunteer", "content": "How did you get 4 roots from a cubic polynomial?", "session_id": 10592, "sequence_id": 81, "annotations": []}
{"role": "student", "content": "oh sorry", "session_id": 10592, "sequence_id": 82, "annotations": []}
{"role": "student", "content": "i put the wrong number but its three", "session_id": 10592, "sequence_id": 83, "annotations": []}
{"role": "volunteer", "content": "Yes, 3 roots.", "session_id": 10592, "sequence_id": 84, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 10592, "sequence_id": 85, "annotations": []}
{"role": "volunteer", "content": "If you use DESMOS to graph, the roots or zeroes are (-1,0), (1.5,0) and (2.5,0).", "session_id": 10592, "sequence_id": 86, "annotations": []}
{"role": "student", "content": "yes", "session_id": 10592, "sequence_id": 87, "annotations": []}
{"role": "student", "content": "exactly that", "session_id": 10592, "sequence_id": 88, "annotations": []}
{"role": "volunteer", "content": "Those values of X result in a value of 0 for Y", "session_id": 10592, "sequence_id": 89, "annotations": []}
{"role": "student", "content": "ohh", "session_id": 10592, "sequence_id": 90, "annotations": []}
{"role": "volunteer", "content": "And those values of x correspond to potential roots by using the factors of 15/factors of 4", "session_id": 10592, "sequence_id": 91, "annotations": []}
{"role": "student", "content": "okay", "session_id": 10592, "sequence_id": 92, "annotations": []}
{"role": "student", "content": "how would we determine the all real zeros though", "session_id": 10592, "sequence_id": 93, "annotations": []}
{"role": "volunteer", "content": "Graphing?", "session_id": 10592, "sequence_id": 94, "annotations": []}
{"role": "student", "content": "for c", "session_id": 10592, "sequence_id": 95, "annotations": []}
{"role": "volunteer", "content": "The graph will show all real crossings of the X-axis.", "session_id": 10592, "sequence_id": 96, "annotations": []}
{"role": "student", "content": "ohok", "session_id": 10592, "sequence_id": 97, "annotations": []}
{"role": "student", "content": "thank you", "session_id": 10592, "sequence_id": 98, "annotations": []}
{"role": "volunteer", "content": "Sure, you're welcome.", "session_id": 10592, "sequence_id": 99, "annotations": []}
{"role": "student", "content": "Hello! I got my test back, and I saw that the \u201cR\u201d means revise, so it\u2019s partially correct. I\u2019d like to know what my mistake was so I can fix it, and then I\u2019d like to try a similar problem with different numbers for extra practice before I retake the test and redo those sections. Here\u2019s the link to the PDF: https://example.com/math_test.pdf", "session_id": 10564, "sequence_id": 0, "annotations": [{"pii_type": "URL", "surrogate": "https://example.com/math_test.pdf", "start": 308, "end": 341}]}
{"role": "volunteer", "content": "perfect! let me load the page and I can see what we can do from there :)", "session_id": 10564, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "Ok!", "session_id": 10564, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "ok, I see that on the first one, a, you distributed, and then just mixed up adding and subtracting the constant terms.", "session_id": 10564, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "do you know what I mean by that?", "session_id": 10564, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "umm no", "session_id": 10564, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "i added a negative 1", "session_id": 10564, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "infront of the \"-\"", "session_id": 10564, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "you just added the 3 instead of subtracting it", "session_id": 10564, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "bc i thought that means its a 1 infront of it", "session_id": 10564, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "at the very last step.", "session_id": 10564, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "\"x-3\"", "session_id": 10564, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "everything else is perfect", "session_id": 10564, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "it is a neg 3", "session_id": 10564, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "she circled the -8", "session_id": 10564, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "yes, but the 5 is positive, so it would take away from 5, not add to it", "session_id": 10564, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "-3+5 = 2", "session_id": 10564, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "ohhh", "session_id": 10564, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "ok", "session_id": 10564, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "ok let me rewrite this", "session_id": 10564, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "everything else on there looks great!", "session_id": 10564, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "on a, I mean, we can move onto b when you're ready :)", "session_id": 10564, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "so the answer is -3x+2", "session_id": 10564, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "yep!! it was just a sign mix-up, I do that all the time", "session_id": 10564, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "Can u give me another problem like this one just for practice", "session_id": 10564, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "I wanna do that for each problem", "session_id": 10564, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "of course!", "session_id": 10564, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "you can use chatgpt to generate one", "session_id": 10564, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "thanks!", "session_id": 10564, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "ok, let's try (4x+7)-2(x-1)", "session_id": 10564, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "ok", "session_id": 10564, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "solving on paper", "session_id": 10564, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "ok! I'll work it out too and we can see if we get the same answer :)", "session_id": 10564, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "2x+9", "session_id": 10564, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "perfect!!", "session_id": 10564, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "do you want to move onto b?", "session_id": 10564, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "yes", "session_id": 10564, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "what did i do wrong", "session_id": 10564, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "I have a trick that I like to show students, can I teach it to you? it makes distribution a lot easier.", "session_id": 10564, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "the first thing you do it draw a square, and divide it based on how many terms you have in each part.", "session_id": 10564, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "ok", "session_id": 10564, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "but what did i do wrong?", "session_id": 10564, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "was it the calculation?", "session_id": 10564, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "i believe it's a distribution error, which is why i'm showing this to you.", "session_id": 10564, "sequence_id": 43, "annotations": []}
{"role": "student", "content": "ohh i didn't write -5x", "session_id": 10564, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "there should be two terms with \"x\", not just 1.", "session_id": 10564, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "i get it now", "session_id": 10564, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "ok! do you still want me to show you the trick or do you want a practice problem?", "session_id": 10564, "sequence_id": 47, "annotations": []}
{"role": "student", "content": "so its", "session_id": 10564, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "4x^2-5x-12x+15?", "session_id": 10564, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "yes, and then the final should be 4x^2-17x+15", "session_id": 10564, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "does that make sense?", "session_id": 10564, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "4\n\ud835\udc65\n2\n\u2212\n17\n\ud835\udc65\n+\n15\n4x2\u221217x+15", "session_id": 10564, "sequence_id": 52, "annotations": []}
{"role": "student", "content": "4\ud835\udc652\u221217\ud835\udc65+15", "session_id": 10564, "sequence_id": 53, "annotations": []}
{"role": "student", "content": "Yeah I get it now, can u give me a problem just like that one then we'll move on to the next pae", "session_id": 10564, "sequence_id": 54, "annotations": []}
{"role": "student", "content": "page", "session_id": 10564, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "of course! how about (3x-2)(x+7)?", "session_id": 10564, "sequence_id": 56, "annotations": []}
{"role": "student", "content": "mhm", "session_id": 10564, "sequence_id": 57, "annotations": []}
{"role": "student", "content": "answer is 3x^2+19x-14", "session_id": 10564, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "it looks like I only have enough time to do one more, do you want to do 3?", "session_id": 10564, "sequence_id": 59, "annotations": []}
{"role": "student", "content": "sure", "session_id": 10564, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "and yes, that's perfect!", "session_id": 10564, "sequence_id": 61, "annotations": []}
{"role": "student", "content": "why is it wrong", "session_id": 10564, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "what's the second term?", "session_id": 10564, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "is it just ab^4?", "session_id": 10564, "sequence_id": 64, "annotations": []}
{"role": "student", "content": "h^7?", "session_id": 10564, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "no, the 16ab^4", "session_id": 10564, "sequence_id": 66, "annotations": []}
{"role": "student", "content": "i did the smallest exponents", "session_id": 10564, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "if that's the case, then it's because that term only has one \"a\", and your equation has \"a^2\" as the smallest exponent.", "session_id": 10564, "sequence_id": 68, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 10564, "sequence_id": 69, "annotations": []}
{"role": "student", "content": "i just noticed lol", "session_id": 10564, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "4 is a factor of all 3, so that makes sense, and then it should be 4ab^3.", "session_id": 10564, "sequence_id": 71, "annotations": []}
{"role": "student", "content": "mhm", "session_id": 10564, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "other than that, you did everything right!", "session_id": 10564, "sequence_id": 73, "annotations": []}
{"role": "student", "content": ":)", "session_id": 10564, "sequence_id": 74, "annotations": []}
{"role": "student", "content": "thanks for your help!", "session_id": 10564, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "unfortunately I do have to go. if you need more help, you can request another coach. it was a pleasure to be able to help you!! :)", "session_id": 10564, "sequence_id": 76, "annotations": []}
{"role": "student", "content": "is there any available", "session_id": 11062, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "how long is it going to find a tutor", "session_id": 11062, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "hey there", "session_id": 11062, "sequence_id": 2, "annotations": [{"pii_type": "LOCATION", "surrogate": "there", "start": 4, "end": 9}]}
{"role": "volunteer", "content": "how are you", "session_id": 11062, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "good", "session_id": 11062, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "would you be able to check my homework if I did it right?", "session_id": 11062, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "Sure, are your answers the ones in blue?", "session_id": 11062, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "yes", "session_id": 11062, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "sure", "session_id": 11062, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "questions 1 and 2 look right", "session_id": 11062, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "okay", "session_id": 11062, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "Question 3 You correctly identified similar right triangles and then You explained why they\u2019re similar and how to use proportions to find the height", "session_id": 11062, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "so far so good", "session_id": 11062, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "okay", "session_id": 11062, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "Question 4, you\u2019re correctly identifying why the triangles are similar and how to set up the proportion", "session_id": 11062, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "okay so far so good", "session_id": 11062, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "5 is good too", "session_id": 11062, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "Ethan: Correctly set up proportion (Ethan\u2019s height / his mirror distance = peak height / mirror-to-peak distance", "session_id": 11062, "sequence_id": 17, "annotations": [{"pii_type": "PERSON", "surrogate": "Ethan", "start": 0, "end": 5}, {"pii_type": "PERSON", "surrogate": "Ethan", "start": 36, "end": 41}]}
{"role": "volunteer", "content": "Arithmetic looks good", "session_id": 11062, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "great job", "session_id": 11062, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "okay sounds good is there anything that you think I might need to change ?", "session_id": 11062, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "No, I like what you did and can follow your thought process", "session_id": 11062, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "okay does this match with he peak a a nd b and c just making sure I didn't make a mistake\nand for question 2 is it right. averting", "session_id": 11062, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "yes, your logic for both peak A and peak B matches the problem setup and is correct", "session_id": 11062, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "okay thank you so much", "session_id": 11062, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "I need help with Unit 2 two variable data specifically", "session_id": 10662, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "Hello", "session_id": 10662, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "Hey, I'm Sarah, how are you?", "session_id": 10662, "sequence_id": 2, "annotations": [{"pii_type": "PERSON", "surrogate": "Sarah", "start": 9, "end": 14}]}
{"role": "student", "content": "Im good thanks how are you?", "session_id": 10662, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "I'm good, what can I help you with today?", "session_id": 10662, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "I have a practice test to go over and prepare for my test which is tomorrow", "session_id": 10662, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "Alright, whenever you are ready, you could put up a practice problem problem and we could look it over", "session_id": 10662, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "That's the first question", "session_id": 10662, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "Okay, what does the correlation tell us about two variables?", "session_id": 10662, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "I have no idea", "session_id": 10662, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "is correlation like the relationship", "session_id": 10662, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "Yes, exactly! The correlation between two variables how related, or how correlated they are together", "session_id": 10662, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "Except, always know, the correlation only represents the linear relationship between two variables", "session_id": 10662, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "Let's say I throw a tennis ball up in the air right", "session_id": 10662, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "If I graph the time vs height", "session_id": 10662, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "It should look like that probably right?", "session_id": 10662, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "yes", "session_id": 10662, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "Because the ball goes up quickly and then starts falling down.", "session_id": 10662, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "Now, what our correlation tells us is the LINEAR relationship between this height and time", "session_id": 10662, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "But clearly, these two are not linear", "session_id": 10662, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "Which is why our correlation is 0, \n\nbut we know there is a relationship between time and height right?", "session_id": 10662, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "yes", "session_id": 10662, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "So, based on the correlation being 0, we know there is no LINEAR relationship between time and height", "session_id": 10662, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "so option B", "session_id": 10662, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "Yes, a good bit of students would get caught by a here, but always try to put things into a realistic perspective.", "session_id": 10662, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "You know time and height have a relationship, if you were a physicist you could probably figure it out. So it couldn't be choice A", "session_id": 10662, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "Especially for AP Stats, if you don't know something, try to think of it in real life standards. Majority of the curriculum is pretty intuitive if you see things like that", "session_id": 10662, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "So whenever  a question is asking or talking about the correlation of a graph or something its asking whether it is or it is not linear ?", "session_id": 10662, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "The only curriculum knowledge here really, is that correlation is the LINEAR relationship between variables", "session_id": 10662, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "Yes, correlation compares the linear relationship", "session_id": 10662, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "Ok", "session_id": 10662, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "Should we move to the next question", "session_id": 10662, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "Yes, whenever you are ready!", "session_id": 10662, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "Is there a choice for this question?", "session_id": 10662, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "Is there a choice E I meant*", "session_id": 10662, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "How can I remove that picture", "session_id": 10662, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "Thanks", "session_id": 10662, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "That's choice E right?", "session_id": 10662, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "yes", "session_id": 10662, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "Okay, these questions will come up quite a bit for this unit. The best way to answer is to go down and cross them off one by one.", "session_id": 10662, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "Does choice A seem correct?", "session_id": 10662, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 10662, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "since for both New and Old property it says thousands of dollars for the value", "session_id": 10662, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "I think", "session_id": 10662, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "Hmmm, check the values again", "session_id": 10662, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "When old property is 250 thousand", "session_id": 10662, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "The new property is a little lower right?", "session_id": 10662, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "250 thousand for old, the new is a little lower right", "session_id": 10662, "sequence_id": 47, "annotations": []}
{"role": "student", "content": "oh ye since 225<250", "session_id": 10662, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "which makes that statement false", "session_id": 10662, "sequence_id": 49, "annotations": []}
{"role": "student", "content": "is that correct", "session_id": 10662, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "Yes, so you can just examine the graph and see for yourself, how the values change based on one another.", "session_id": 10662, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "But, we could also look at this numerically, which you may need for FRQs. \n\nDo you know what the slope of our line of best fit is here?", "session_id": 10662, "sequence_id": 52, "annotations": []}
{"role": "student", "content": "nope", "session_id": 10662, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "Alright, here is a pretty important you do have to know about the curriculum, is how to read your computer output graphs.", "session_id": 10662, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "For these graphs, for this unit at least, jsut visualize them like this", "session_id": 10662, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "None of that matters, you don't need to know what it means", "session_id": 10662, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "Especially for this unit.", "session_id": 10662, "sequence_id": 57, "annotations": []}
{"role": "student", "content": "ok", "session_id": 10662, "sequence_id": 58, "annotations": []}
{"role": "student", "content": "I think I know the slope is it the 0.95597", "session_id": 10662, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "Yes! And what is the y intercept?", "session_id": 10662, "sequence_id": 60, "annotations": []}
{"role": "student", "content": "-3.817", "session_id": 10662, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "So, our slope is 0.95597", "session_id": 10662, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "Do you know what this means? How would you interpret this value?", "session_id": 10662, "sequence_id": 63, "annotations": []}
{"role": "student", "content": "no", "session_id": 10662, "sequence_id": 64, "annotations": []}
{"role": "student", "content": "I don't", "session_id": 10662, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "Okay, our slope is the amount that y changes when we increase x right?", "session_id": 10662, "sequence_id": 66, "annotations": []}
{"role": "student", "content": "yes", "session_id": 10662, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "If I have y = 2x, for the every 1 increase in x, my y will increase by 2 right?", "session_id": 10662, "sequence_id": 68, "annotations": []}
{"role": "student", "content": "yes", "session_id": 10662, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "Here, my x values represent the Old Property Value \n\ny values represent New Property Value right?", "session_id": 10662, "sequence_id": 70, "annotations": []}
{"role": "student", "content": "yes", "session_id": 10662, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "So, it is the same thing here,\n\nFor every 1 thousand dollar increase in Old Property value, the estimated New Property Value increases by 0.95597 thousand dollars right?", "session_id": 10662, "sequence_id": 72, "annotations": []}
{"role": "student", "content": "is x the 1 thousand dollar", "session_id": 10662, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "Yes, and our slope represents the y value increase", "session_id": 10662, "sequence_id": 74, "annotations": []}
{"role": "student", "content": "so the 0.95597 is the y here", "session_id": 10662, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "Yes, exactly", "session_id": 10662, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "Do you see why choice D is correct?", "session_id": 10662, "sequence_id": 77, "annotations": []}
{"role": "student", "content": "So choice D is not the appropriate description of the sample", "session_id": 10662, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "No, choice D is appropriate.", "session_id": 10662, "sequence_id": 79, "annotations": []}
{"role": "student", "content": "Oh yes sorry", "session_id": 10662, "sequence_id": 80, "annotations": []}
{"role": "student", "content": "Option A was the one that isn't appropriate right?", "session_id": 10662, "sequence_id": 81, "annotations": []}
{"role": "volunteer", "content": "Yes, why is choice D valid though?", "session_id": 10662, "sequence_id": 82, "annotations": []}
{"role": "volunteer", "content": "Recall, what does the slope tell us?", "session_id": 10662, "sequence_id": 83, "annotations": []}
{"role": "student", "content": "it tells is the amount that y changes when we increase x", "session_id": 10662, "sequence_id": 84, "annotations": []}
{"role": "volunteer", "content": "Also if at any point you want some more clarification on anything, please let me know.\n\nEspecially for a class like AP Stats, it's very concept based.", "session_id": 10662, "sequence_id": 85, "annotations": []}
{"role": "volunteer", "content": "Great, so what does the slope being 0.95597 tell us in this situation regarding the property values", "session_id": 10662, "sequence_id": 86, "annotations": []}
{"role": "student", "content": "It tells us that for every 1 thousand dollar increase in Old Property  value the new property value increases by 0.95597", "session_id": 10662, "sequence_id": 87, "annotations": []}
{"role": "volunteer", "content": "0.95597 thousand right?", "session_id": 10662, "sequence_id": 88, "annotations": []}
{"role": "student", "content": "yes", "session_id": 10662, "sequence_id": 89, "annotations": []}
{"role": "volunteer", "content": "So, it's saying for every $1000 increase, the new property value will increase $955.97", "session_id": 10662, "sequence_id": 90, "annotations": []}
{"role": "volunteer", "content": "Which is exactly what choice D is saying", "session_id": 10662, "sequence_id": 91, "annotations": []}
{"role": "student", "content": "Yes so it's an  appropriate  description of the data in the sample", "session_id": 10662, "sequence_id": 92, "annotations": []}
{"role": "volunteer", "content": "Yes, would you like to go over the other answer choices or just do the next question?", "session_id": 10662, "sequence_id": 93, "annotations": []}
{"role": "student", "content": "I kinda don't understand option E", "session_id": 10662, "sequence_id": 94, "annotations": []}
{"role": "student", "content": "But I get the rest", "session_id": 10662, "sequence_id": 95, "annotations": []}
{"role": "volunteer", "content": "Okay, another thing you will need from this computer output is the S in the bottom left corner.", "session_id": 10662, "sequence_id": 96, "annotations": []}
{"role": "volunteer", "content": "This S is the standard deviation of the residuals.", "session_id": 10662, "sequence_id": 97, "annotations": []}
{"role": "volunteer", "content": "Which basically means, how far did the observed values differ from the expected values.", "session_id": 10662, "sequence_id": 98, "annotations": []}
{"role": "volunteer", "content": "Because the line of best fit lets us predict values right?", "session_id": 10662, "sequence_id": 99, "annotations": []}
{"role": "student", "content": "what's the line of best fit", "session_id": 10662, "sequence_id": 100, "annotations": []}
{"role": "volunteer", "content": "The line of best fit, is the line that represents all the points together", "session_id": 10662, "sequence_id": 101, "annotations": []}
{"role": "volunteer", "content": "Look at the graph, the line of best fit is drawn there for you", "session_id": 10662, "sequence_id": 102, "annotations": []}
{"role": "student", "content": "oh ok I see", "session_id": 10662, "sequence_id": 103, "annotations": []}
{"role": "volunteer", "content": "In the question, they took a sample of 25 properties right", "session_id": 10662, "sequence_id": 104, "annotations": []}
{"role": "volunteer", "content": "Each dot point on the graph represents on of the properties that they took data from", "session_id": 10662, "sequence_id": 105, "annotations": []}
{"role": "volunteer", "content": "So, right after getting this data", "session_id": 10662, "sequence_id": 106, "annotations": []}
{"role": "volunteer", "content": "They put it all on one graph", "session_id": 10662, "sequence_id": 107, "annotations": []}
{"role": "volunteer", "content": "And now, they wanted to know,\n\nHow could I guess the approximate value of something at this point?", "session_id": 10662, "sequence_id": 108, "annotations": []}
{"role": "volunteer", "content": "Which they do, by finding the line of best fit, which REPRESENTS all of the points ALTOGETHER", "session_id": 10662, "sequence_id": 109, "annotations": []}
{"role": "volunteer", "content": "So, now if I want to estimate how much my y value is at a certain x value", "session_id": 10662, "sequence_id": 110, "annotations": []}
{"role": "volunteer", "content": "I can just use this line of best fit", "session_id": 10662, "sequence_id": 111, "annotations": []}
{"role": "volunteer", "content": "For example, If I want to estimate the y value at x=50 on this line of best fit", "session_id": 10662, "sequence_id": 112, "annotations": []}
{"role": "volunteer", "content": "I can just find the y value on the line", "session_id": 10662, "sequence_id": 113, "annotations": []}
{"role": "volunteer", "content": "Just to make sure, do you want any clarification on that? This isn't exactly too big and is more of just a deeper understanding thing", "session_id": 10662, "sequence_id": 114, "annotations": []}
{"role": "student", "content": "Is that line called the least square regression line", "session_id": 10662, "sequence_id": 115, "annotations": []}
{"role": "student", "content": "I think I get it", "session_id": 10662, "sequence_id": 116, "annotations": []}
{"role": "volunteer", "content": "Yes, that is another name for it", "session_id": 10662, "sequence_id": 117, "annotations": []}
{"role": "volunteer", "content": "But, now recall", "session_id": 10662, "sequence_id": 118, "annotations": []}
{"role": "volunteer", "content": "Initially we only took a sample of data right?", "session_id": 10662, "sequence_id": 119, "annotations": []}
{"role": "student", "content": "yes", "session_id": 10662, "sequence_id": 120, "annotations": []}
{"role": "volunteer", "content": "So, if I draw this line", "session_id": 10662, "sequence_id": 121, "annotations": []}
{"role": "volunteer", "content": "Some of the ACTUAL data that I got from my sample will probably not be EXACTLY on the line right?", "session_id": 10662, "sequence_id": 122, "annotations": []}
{"role": "student", "content": "yes", "session_id": 10662, "sequence_id": 123, "annotations": []}
{"role": "volunteer", "content": "Because my line is an estimation of all the points altogether, which means not all of them fall directly on it.", "session_id": 10662, "sequence_id": 124, "annotations": []}
{"role": "volunteer", "content": "So, my standard deviation of the residuals tells me on average, approximately, how far was the data I GOT from the value I can ESTIMATE it to be using my line of best fit", "session_id": 10662, "sequence_id": 125, "annotations": []}
{"role": "student", "content": "Ok", "session_id": 10662, "sequence_id": 126, "annotations": []}
{"role": "student", "content": "I think I get it", "session_id": 10662, "sequence_id": 127, "annotations": []}
{"role": "volunteer", "content": "So, here our standard deviation is 7.53867 right?", "session_id": 10662, "sequence_id": 128, "annotations": []}
{"role": "student", "content": "yes", "session_id": 10662, "sequence_id": 129, "annotations": []}
{"role": "volunteer", "content": "It is saying on average, the new property values they DOCUMENTED FROM THE SAMPLE were about $7,539 from what the line of best fit told them it would be.", "session_id": 10662, "sequence_id": 130, "annotations": []}
{"role": "student", "content": "Ok it makes much more sense now thanks", "session_id": 10662, "sequence_id": 131, "annotations": []}
{"role": "volunteer", "content": "Alright, is there any question of the entire practice test you really wanted to look over, in case we aren't able to do all of it?", "session_id": 10662, "sequence_id": 132, "annotations": []}
{"role": "student", "content": "Yes the FRQs", "session_id": 10662, "sequence_id": 133, "annotations": []}
{"role": "volunteer", "content": "Alright, whenever you are ready, you can put it up", "session_id": 10662, "sequence_id": 134, "annotations": []}
{"role": "student", "content": "It has part c d and e too", "session_id": 10662, "sequence_id": 135, "annotations": []}
{"role": "volunteer", "content": "First, what did the newspaper claim about the number of semesters and starting salary?", "session_id": 10662, "sequence_id": 136, "annotations": []}
{"role": "student", "content": "The newspaper claims that the more semesters needed to complete an academic program the greater the starting salary of the first year  job will be", "session_id": 10662, "sequence_id": 137, "annotations": []}
{"role": "volunteer", "content": "So, in simple terms, as semesters increased, starting salary did too right?", "session_id": 10662, "sequence_id": 138, "annotations": []}
{"role": "volunteer", "content": "So, what does the graph show us?", "session_id": 10662, "sequence_id": 139, "annotations": []}
{"role": "student", "content": "The graph shows us a positive linear relationship ?", "session_id": 10662, "sequence_id": 140, "annotations": []}
{"role": "volunteer", "content": "Could you draw directly on the graph, what you think the line of best fit looks like", "session_id": 10662, "sequence_id": 141, "annotations": []}
{"role": "volunteer", "content": "Exactly! So there is a positive linear relationship, and based on the data points as the number of semesters increased the starting salary increased right?", "session_id": 10662, "sequence_id": 142, "annotations": []}
{"role": "student", "content": "ye", "session_id": 10662, "sequence_id": 143, "annotations": []}
{"role": "volunteer", "content": "This was something you picked up on immediately basically with the line of best fit.", "session_id": 10662, "sequence_id": 144, "annotations": []}
{"role": "volunteer", "content": "The line goes up and tells us how they relate", "session_id": 10662, "sequence_id": 145, "annotations": []}
{"role": "volunteer", "content": "So, we say the scatterplot does support the newspaper's claim.\nWhy?", "session_id": 10662, "sequence_id": 146, "annotations": []}
{"role": "student", "content": "The scatter plot supports the newspapers claim because the data shows a positive association between the two variables", "session_id": 10662, "sequence_id": 147, "annotations": []}
{"role": "volunteer", "content": "Perfect! You actually got it right on.", "session_id": 10662, "sequence_id": 148, "annotations": []}
{"role": "volunteer", "content": "This is another really important thing about the AP Stats curriculum, in the explanations it is mainly vocabulary based, because you have use the right statistical words in your answer.\n\nHere you just had to talk about there being a positive association.", "session_id": 10662, "sequence_id": 149, "annotations": []}
{"role": "volunteer", "content": "However, one thing, is you should ALWAYS put thing into context", "session_id": 10662, "sequence_id": 150, "annotations": []}
{"role": "volunteer", "content": "Never say anything like \"between the two variables.\"", "session_id": 10662, "sequence_id": 151, "annotations": []}
{"role": "student", "content": "ok", "session_id": 10662, "sequence_id": 152, "annotations": []}
{"role": "volunteer", "content": "You will lose a point for this on some questions in the FRQ, and you likely have or will see the FRQ rubric, but losing a SINGLE FRQ point is crucial because of how they grade.", "session_id": 10662, "sequence_id": 153, "annotations": []}
{"role": "volunteer", "content": "So, here, you would say \"between the number of semesters and starting salary.\"", "session_id": 10662, "sequence_id": 154, "annotations": []}
{"role": "student", "content": "what does a perfect answer would look like then", "session_id": 10662, "sequence_id": 155, "annotations": []}
{"role": "volunteer", "content": "The scatter plot supports the newspapers claim because the data shows a positive association between the number of semesters and starting salary.", "session_id": 10662, "sequence_id": 156, "annotations": []}
{"role": "volunteer", "content": "On the rubric, they will literally have a bullet point that say \"Student explained in the proper context\" for these explanation questions", "session_id": 10662, "sequence_id": 157, "annotations": []}
{"role": "volunteer", "content": "Though your teacher may or may not be extremely strict about it, this is something that is on the AP exam, so just always know to do this for FRQ questions in this class", "session_id": 10662, "sequence_id": 158, "annotations": []}
{"role": "student", "content": "Ok  thanks I actually had no idea about the rubric and  how the AP exam works since this is the first AP class ive ever taken", "session_id": 10662, "sequence_id": 159, "annotations": []}
{"role": "student", "content": "But I will try to pay attention to those details", "session_id": 10662, "sequence_id": 160, "annotations": []}
{"role": "volunteer", "content": "Yes, sometimes they will occasionally say to explain it in the context, but sometimes they won't but they still expect you to.", "session_id": 10662, "sequence_id": 161, "annotations": []}
{"role": "volunteer", "content": "For part b, what is the slope?", "session_id": 10662, "sequence_id": 162, "annotations": []}
{"role": "student", "content": "1.1594", "session_id": 10662, "sequence_id": 163, "annotations": []}
{"role": "volunteer", "content": "Great, I just realized too, notice it says to explain in context, you will definitely lose a point here if you don't use the right language.", "session_id": 10662, "sequence_id": 164, "annotations": []}
{"role": "volunteer", "content": "So, going back to how we interpreted the slope before, how would you interpret the slope here?", "session_id": 10662, "sequence_id": 165, "annotations": []}
{"role": "volunteer", "content": "Remember, follow the basis \"As x increase by 1, y increase by this.\"\nBut you have to explain using the words from the situation", "session_id": 10662, "sequence_id": 166, "annotations": []}
{"role": "student", "content": "The slope is 1.1594, for every additional semester needed to complete an academic program the starting salary is expected to increase", "session_id": 10662, "sequence_id": 167, "annotations": []}
{"role": "volunteer", "content": "Almost, you want to include the numbers in there as well.", "session_id": 10662, "sequence_id": 168, "annotations": []}
{"role": "volunteer", "content": "So, you'd want to say something like\n\nThe slope is 1.1594. For every additional semester needed to complete an academic program the starting salary is expected to increase 1.1594 thousand dollars.", "session_id": 10662, "sequence_id": 169, "annotations": []}
{"role": "student", "content": "would it be thousand dollars or euros", "session_id": 10662, "sequence_id": 170, "annotations": []}
{"role": "volunteer", "content": "Euros, I didn't read the actual scale, you're right though", "session_id": 10662, "sequence_id": 171, "annotations": []}
{"role": "volunteer", "content": "These are very slight nitpicks, but this skill of interpretation is EXTREMELY important for the exam.", "session_id": 10662, "sequence_id": 172, "annotations": []}
{"role": "student", "content": "Do we have to say what the slope is at the start of our sentence", "session_id": 10662, "sequence_id": 173, "annotations": []}
{"role": "volunteer", "content": "You just have to identify somewhere in your answer, since it tells you to identify it.", "session_id": 10662, "sequence_id": 174, "annotations": []}
{"role": "student", "content": "ok", "session_id": 10662, "sequence_id": 175, "annotations": []}
{"role": "volunteer", "content": "But, you already did, but when it tells you to interpret slope, you HAVE TO say\n\n\"the y value is expected to increase\"\n\n\"the y value increased on average by\"\n\nyou CANNOT SAY \"the y value will increase by\"", "session_id": 10662, "sequence_id": 176, "annotations": []}
{"role": "volunteer", "content": "Remember, the line of best fit is an ESTIMATE of the y value. It DOES NOT TELL us the y value we ACTUALLY documented from our sample. \nIt tells us the EXPECTED VALUE", "session_id": 10662, "sequence_id": 177, "annotations": []}
{"role": "student", "content": "okk", "session_id": 10662, "sequence_id": 178, "annotations": []}
{"role": "volunteer", "content": "Very annoyingly, if you accidentally forget to include that one part about the slope they will also take a point off on the exam, because it is technically wrong", "session_id": 10662, "sequence_id": 179, "annotations": []}
{"role": "volunteer", "content": "If you'd like to do the other parts, you could put those up too now.", "session_id": 10662, "sequence_id": 180, "annotations": []}
{"role": "student", "content": "I think my teacher took my points off because of a few small mistakes like that in my last test", "session_id": 10662, "sequence_id": 181, "annotations": []}
{"role": "student", "content": "Where can I put it the board is full", "session_id": 10662, "sequence_id": 182, "annotations": []}
{"role": "volunteer", "content": "Yes, it's because a lot of the things in AP stats do not DEFINITIVELY tell you something, so you always have to be explicit with your language because the numbers you get in this class tell you one specific thing, not about everything", "session_id": 10662, "sequence_id": 183, "annotations": []}
{"role": "volunteer", "content": "I'm going to get rid of question 2 is that alright?", "session_id": 10662, "sequence_id": 184, "annotations": []}
{"role": "volunteer", "content": "Since, it's so similar to the FRQ", "session_id": 10662, "sequence_id": 185, "annotations": []}
{"role": "student", "content": "yes", "session_id": 10662, "sequence_id": 186, "annotations": []}
{"role": "volunteer", "content": "Alright, what on the graph is it telling you to focus on here?", "session_id": 10662, "sequence_id": 187, "annotations": []}
{"role": "volunteer", "content": "What group of people?", "session_id": 10662, "sequence_id": 188, "annotations": []}
{"role": "student", "content": "people who have business majors ?", "session_id": 10662, "sequence_id": 189, "annotations": []}
{"role": "volunteer", "content": "Exactly! Could you circle on the graph where those points are?", "session_id": 10662, "sequence_id": 190, "annotations": []}
{"role": "volunteer", "content": "Great, so what the association between those points look like?", "session_id": 10662, "sequence_id": 191, "annotations": []}
{"role": "volunteer", "content": "Remember to use proper context and sentence structure", "session_id": 10662, "sequence_id": 192, "annotations": []}
{"role": "student", "content": "The lesser the number of semesters the higher the starting salary..?", "session_id": 10662, "sequence_id": 193, "annotations": []}
{"role": "volunteer", "content": "Yes, but to put it in clearer terms, first, could you draw the approximate line of best fit for the business majors", "session_id": 10662, "sequence_id": 194, "annotations": []}
{"role": "student", "content": "would it be like that", "session_id": 10662, "sequence_id": 195, "annotations": []}
{"role": "volunteer", "content": "Exactly, just draw something that looks like it represents all the points.", "session_id": 10662, "sequence_id": 196, "annotations": []}
{"role": "volunteer", "content": "But now we can see, as they took more semesters, their starting salary decreased right?", "session_id": 10662, "sequence_id": 197, "annotations": []}
{"role": "student", "content": "yes", "session_id": 10662, "sequence_id": 198, "annotations": []}
{"role": "volunteer", "content": "And remember, association is about how closely the points are to each other.", "session_id": 10662, "sequence_id": 199, "annotations": []}
{"role": "volunteer", "content": "So are they very close or very far?", "session_id": 10662, "sequence_id": 200, "annotations": []}
{"role": "student", "content": "very close", "session_id": 10662, "sequence_id": 201, "annotations": []}
{"role": "volunteer", "content": "And the line of best fit is aimed downwards,\n\nSo, we can say, there is a strong negative association between them right?", "session_id": 10662, "sequence_id": 202, "annotations": []}
{"role": "student", "content": "yes", "session_id": 10662, "sequence_id": 203, "annotations": []}
{"role": "volunteer", "content": "Now, try framing this in the context of the problem for full credit", "session_id": 10662, "sequence_id": 204, "annotations": []}
{"role": "volunteer", "content": "Remember, you need vocabulary + context.\n\nHere your vocabulary is just to mention association, its direction, its strength.\n\nAnd the context is the situation being asked about", "session_id": 10662, "sequence_id": 205, "annotations": []}
{"role": "student", "content": "There is a  strong negative  association between starting salary and number of semesters for the business major", "session_id": 10662, "sequence_id": 206, "annotations": []}
{"role": "volunteer", "content": "Great!", "session_id": 10662, "sequence_id": 207, "annotations": []}
{"role": "student", "content": "direction  is about whether its positive or negative right", "session_id": 10662, "sequence_id": 208, "annotations": []}
{"role": "volunteer", "content": "Yes, that all I meant by it", "session_id": 10662, "sequence_id": 209, "annotations": []}
{"role": "volunteer", "content": "Now, for part d, what is the median of a data set?", "session_id": 10662, "sequence_id": 210, "annotations": []}
{"role": "student", "content": "I actually dont know", "session_id": 10662, "sequence_id": 211, "annotations": []}
{"role": "volunteer", "content": "That's alright! The median is just the middle number of a data set.", "session_id": 10662, "sequence_id": 212, "annotations": []}
{"role": "volunteer", "content": "So if I give you a data set like,\n\n1, 2, 2, 3, 4", "session_id": 10662, "sequence_id": 213, "annotations": []}
{"role": "volunteer", "content": "What number is in the middle?", "session_id": 10662, "sequence_id": 214, "annotations": []}
{"role": "student", "content": "2", "session_id": 10662, "sequence_id": 215, "annotations": []}
{"role": "volunteer", "content": "Great, so 2 is the median of the data set.", "session_id": 10662, "sequence_id": 216, "annotations": []}
{"role": "volunteer", "content": "If I give you a data set like \n\n1, 2, 3, 4, 5, 8", "session_id": 10662, "sequence_id": 217, "annotations": []}
{"role": "volunteer", "content": "There is no middle number so right?", "session_id": 10662, "sequence_id": 218, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 10662, "sequence_id": 219, "annotations": []}
{"role": "volunteer", "content": "But, 3 and 4 are in the middle together, so instead we just add them together and divide by two", "session_id": 10662, "sequence_id": 220, "annotations": []}
{"role": "volunteer", "content": "So (3+4)/2 will be 3.5", "session_id": 10662, "sequence_id": 221, "annotations": []}
{"role": "volunteer", "content": "Which is our median for that data set.", "session_id": 10662, "sequence_id": 222, "annotations": []}
{"role": "volunteer", "content": "You don't really need to know that for this question, but you just need to know, the median is the middle number.", "session_id": 10662, "sequence_id": 223, "annotations": []}
{"role": "student", "content": "ok", "session_id": 10662, "sequence_id": 224, "annotations": []}
{"role": "volunteer", "content": "Great! I was actually just about to tell you to do that", "session_id": 10662, "sequence_id": 225, "annotations": []}
{"role": "volunteer", "content": "So, this question is quite simple isn't it?", "session_id": 10662, "sequence_id": 226, "annotations": []}
{"role": "student", "content": "yes", "session_id": 10662, "sequence_id": 227, "annotations": []}
{"role": "volunteer", "content": "Clearly, the Chemistry one is higher than the physics one, and the business one is lower than physics", "session_id": 10662, "sequence_id": 228, "annotations": []}
{"role": "volunteer", "content": "Getting this question right is all about vocabulary and context", "session_id": 10662, "sequence_id": 229, "annotations": []}
{"role": "volunteer", "content": "For vocabulary, always remember, if it tells you to compare some values, ALWAYS use comparative language. You have to EXPLICITLY use words like \"greater than,\" \"less than,\" \"equal to.\"", "session_id": 10662, "sequence_id": 230, "annotations": []}
{"role": "student", "content": "Ok, so for the answer do we just say which median is higher for which major  or is there supposed to be numbers", "session_id": 10662, "sequence_id": 231, "annotations": []}
{"role": "volunteer", "content": "You just say which is higher than which.", "session_id": 10662, "sequence_id": 232, "annotations": []}
{"role": "volunteer", "content": "You can't really calculate the numbers exactly, since you just have a graph.", "session_id": 10662, "sequence_id": 233, "annotations": []}
{"role": "student", "content": "I was confused because when we were going over  this in class today my teacher had values for the median for each major", "session_id": 10662, "sequence_id": 234, "annotations": []}
{"role": "volunteer", "content": "Perhaps your teacher guessed a random value. Here we could approximate the median though.", "session_id": 10662, "sequence_id": 235, "annotations": []}
{"role": "volunteer", "content": "Let's look at the graph then, if you're teacher probably approximated it", "session_id": 10662, "sequence_id": 236, "annotations": []}
{"role": "volunteer", "content": "The median will be the middle number right?", "session_id": 10662, "sequence_id": 237, "annotations": []}
{"role": "student", "content": "yes", "session_id": 10662, "sequence_id": 238, "annotations": []}
{"role": "volunteer", "content": "How many chemistry data points are there?", "session_id": 10662, "sequence_id": 239, "annotations": []}
{"role": "student", "content": "8", "session_id": 10662, "sequence_id": 240, "annotations": []}
{"role": "volunteer", "content": "So, let's think if I give you a set of 8 numbers\n1, 2, 3, 4, 5, 6, 7, 8", "session_id": 10662, "sequence_id": 241, "annotations": []}
{"role": "volunteer", "content": "To find the median, you have to average the 4th and 5th largest values right?", "session_id": 10662, "sequence_id": 242, "annotations": []}
{"role": "volunteer", "content": "You would add (4+5)/2, which is equal to 4.5", "session_id": 10662, "sequence_id": 243, "annotations": []}
{"role": "student", "content": "yes", "session_id": 10662, "sequence_id": 244, "annotations": []}
{"role": "volunteer", "content": "So, here what data points look like they have the 4th and 5th highest base salary", "session_id": 10662, "sequence_id": 245, "annotations": []}
{"role": "student", "content": "that one?", "session_id": 10662, "sequence_id": 246, "annotations": []}
{"role": "volunteer", "content": "Remember, we have 8 data points, so we need to find the 4th AND 5th largest", "session_id": 10662, "sequence_id": 247, "annotations": []}
{"role": "volunteer", "content": "So we should have two points in mind, not just one", "session_id": 10662, "sequence_id": 248, "annotations": []}
{"role": "student", "content": "those two ?", "session_id": 10662, "sequence_id": 249, "annotations": []}
{"role": "volunteer", "content": "Great, so the median will be the average of those two points right?", "session_id": 10662, "sequence_id": 250, "annotations": []}
{"role": "student", "content": "yes", "session_id": 10662, "sequence_id": 251, "annotations": []}
{"role": "volunteer", "content": "And it looks like it is going to be about 55,000 euros", "session_id": 10662, "sequence_id": 252, "annotations": []}
{"role": "student", "content": "yes", "session_id": 10662, "sequence_id": 253, "annotations": []}
{"role": "volunteer", "content": "Which is probably how your teacher did it.", "session_id": 10662, "sequence_id": 254, "annotations": []}
{"role": "volunteer", "content": "But, although this skill of figuring out data from a graph is kinda important, we don't need it for this question.", "session_id": 10662, "sequence_id": 255, "annotations": []}
{"role": "volunteer", "content": "Just say, this median is higher than this, and this one is lower than this, and this one is in between.", "session_id": 10662, "sequence_id": 256, "annotations": []}
{"role": "student", "content": "ok", "session_id": 10662, "sequence_id": 257, "annotations": []}
{"role": "volunteer", "content": "So, try to frame your answer for full credit here.", "session_id": 10662, "sequence_id": 258, "annotations": []}
{"role": "volunteer", "content": "At least, on the AP exam, you would never need exact values like this, perhaps if your teacher taught it this way, maybe she specifically wants to see you approximate it.", "session_id": 10662, "sequence_id": 259, "annotations": []}
{"role": "student", "content": "Business majors have the lowest median followed by physics major  and chemistry being the one with the highest.", "session_id": 10662, "sequence_id": 260, "annotations": []}
{"role": "student", "content": "Ok", "session_id": 10662, "sequence_id": 261, "annotations": []}
{"role": "student", "content": "would it be something like this", "session_id": 10662, "sequence_id": 262, "annotations": []}
{"role": "volunteer", "content": "Yes, that would likely get full credit, the hardest thing about a question like this honestly is trying to make it sound decent. \n\nBut, if you are ever low on time, just know, you don't need to write in proper English to get full points.", "session_id": 10662, "sequence_id": 263, "annotations": []}
{"role": "volunteer", "content": "Well you do need proper English, I mean you don't need to make it sound nice by trying to not use the same exact words and using \"and\" a lot of times", "session_id": 10662, "sequence_id": 264, "annotations": []}
{"role": "student", "content": "Ok I will try to keep that in mind thanks!", "session_id": 10662, "sequence_id": 265, "annotations": []}
{"role": "volunteer", "content": "Now for part e, what did the newspaper report say initally?", "session_id": 10662, "sequence_id": 266, "annotations": []}
{"role": "volunteer", "content": "Look at the initial graph, do you remember what the line of best fit you drew for it looked like?", "session_id": 10662, "sequence_id": 267, "annotations": []}
{"role": "volunteer", "content": "If not, go back to the original graph and graph the approximate line of best fit", "session_id": 10662, "sequence_id": 268, "annotations": []}
{"role": "volunteer", "content": "Great! Do you see how different these graphs are when they present their data.", "session_id": 10662, "sequence_id": 269, "annotations": []}
{"role": "student", "content": "Is it that basically the more number of semesters that you take the more starting salary you will have", "session_id": 10662, "sequence_id": 270, "annotations": []}
{"role": "volunteer", "content": "Exactly, this first graph makes you think taking more semesters led to a higher starting salary right?", "session_id": 10662, "sequence_id": 271, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 10662, "sequence_id": 272, "annotations": []}
{"role": "student", "content": "For e I have like a hard time understanding what the question is asking me just by reading it", "session_id": 10662, "sequence_id": 273, "annotations": []}
{"role": "volunteer", "content": "It's basically saying, \n\n\"What's wrong with the newspaper's claim?\" And it wants you to explain the data more accurately.", "session_id": 10662, "sequence_id": 274, "annotations": []}
{"role": "volunteer", "content": "Do you see how it's asking you to do that?", "session_id": 10662, "sequence_id": 275, "annotations": []}
{"role": "student", "content": "ye", "session_id": 10662, "sequence_id": 276, "annotations": []}
{"role": "volunteer", "content": "Alright, now look at your second graph", "session_id": 10662, "sequence_id": 277, "annotations": []}
{"role": "volunteer", "content": "For each major, draw a line of best fit", "session_id": 10662, "sequence_id": 278, "annotations": []}
{"role": "volunteer", "content": "If you want as well, there should be a shape icon on the bottom of the whiteboard where you could just put a straight line on the graph", "session_id": 10662, "sequence_id": 279, "annotations": []}
{"role": "student", "content": "Oh I see I didn't know that", "session_id": 10662, "sequence_id": 280, "annotations": []}
{"role": "student", "content": "Thanks", "session_id": 10662, "sequence_id": 281, "annotations": []}
{"role": "volunteer", "content": "But, can you immediately see how different these graphs are?", "session_id": 10662, "sequence_id": 282, "annotations": []}
{"role": "volunteer", "content": "Now, our line of best fit is saying the exact opposite is it not?", "session_id": 10662, "sequence_id": 283, "annotations": []}
{"role": "volunteer", "content": "They are all saying as you take more semesters, the starting salary actually decreases.", "session_id": 10662, "sequence_id": 284, "annotations": []}
{"role": "volunteer", "content": "But, what made it look like it increased?", "session_id": 10662, "sequence_id": 285, "annotations": []}
{"role": "student", "content": "yes", "session_id": 10662, "sequence_id": 286, "annotations": []}
{"role": "student", "content": "was it looking at the whole data together", "session_id": 10662, "sequence_id": 287, "annotations": []}
{"role": "volunteer", "content": "Exactly, but what did we split the data into?", "session_id": 10662, "sequence_id": 288, "annotations": []}
{"role": "student", "content": "3 majors", "session_id": 10662, "sequence_id": 289, "annotations": []}
{"role": "volunteer", "content": "Exactly!", "session_id": 10662, "sequence_id": 290, "annotations": []}
{"role": "volunteer", "content": "And after splitting the data, we can see that actually", "session_id": 10662, "sequence_id": 291, "annotations": []}
{"role": "volunteer", "content": "All the data points from the original graph that made the most money were Chemistry majors", "session_id": 10662, "sequence_id": 292, "annotations": []}
{"role": "volunteer", "content": "All the data points from the original graph that made the least money were business majors", "session_id": 10662, "sequence_id": 293, "annotations": []}
{"role": "volunteer", "content": "But, without categorizing them by major, we couldn't tell them apart, and it looked like as you took more semesters you had a higher starting salary.", "session_id": 10662, "sequence_id": 294, "annotations": []}
{"role": "volunteer", "content": "Because clearly, based on the second, more detailed graph, the more semesters you take, the less your starting salary.\n\nThe thing that increased your starting salary the most, was the major you were in right>?", "session_id": 10662, "sequence_id": 295, "annotations": []}
{"role": "student", "content": "yes", "session_id": 10662, "sequence_id": 296, "annotations": []}
{"role": "volunteer", "content": "So, what could you say about the number of semesters and starting salary?\n\n(Include something about how major affects starting salary)", "session_id": 10662, "sequence_id": 297, "annotations": []}
{"role": "volunteer", "content": "Also, I understand this is a lot probably, the analysis question of the FRQs is always the hardest because you have to put it all together,\n\nSo, if there is something you want to go over, let me know", "session_id": 10662, "sequence_id": 298, "annotations": []}
{"role": "student", "content": "The newspaper report should be modified to account majors, since overall the majors that tend to take a long time to complete have higher starting salaries", "session_id": 10662, "sequence_id": 299, "annotations": []}
{"role": "student", "content": "I don't know if that makes sense or answers the question", "session_id": 10662, "sequence_id": 300, "annotations": []}
{"role": "volunteer", "content": "I'm gonna be honest, I would have written an extremely long response to this and I thought you had it wrong, but it seems like you summarized it all perfectly.", "session_id": 10662, "sequence_id": 301, "annotations": []}
{"role": "volunteer", "content": "However, I think you could get full credit for that response, because it does answer everything, but I would just elaborate and call back to the data that they gave you", "session_id": 10662, "sequence_id": 302, "annotations": []}
{"role": "volunteer", "content": "Actually wait, not necessarily.", "session_id": 10662, "sequence_id": 303, "annotations": []}
{"role": "volunteer", "content": "Make sure you do call back explicitly to the graph.", "session_id": 10662, "sequence_id": 304, "annotations": []}
{"role": "volunteer", "content": "By explaining all 3 majors, business, chemistry, and Physics, all showed that as the number of semesters taken increased in their major, their starting salary decreased.", "session_id": 10662, "sequence_id": 305, "annotations": []}
{"role": "student", "content": "would I include that in my answer", "session_id": 10662, "sequence_id": 306, "annotations": []}
{"role": "student", "content": "oh ook I see", "session_id": 10662, "sequence_id": 307, "annotations": []}
{"role": "student", "content": "i'll take note for that part", "session_id": 10662, "sequence_id": 308, "annotations": []}
{"role": "volunteer", "content": "Yes, for the analysis question try to always explain your answer, this question is intended to be the hardest because it wants you to show you are thorough and fully understand", "session_id": 10662, "sequence_id": 309, "annotations": []}
{"role": "volunteer", "content": "Then you'd mention how the major in general led to a higher starting salary.", "session_id": 10662, "sequence_id": 310, "annotations": []}
{"role": "volunteer", "content": "For these analysis questions, they want to see a deep, thorough analysis, so when going through your answer, just think to yourself, \n\"Did I give a thorough analysis\"", "session_id": 10662, "sequence_id": 311, "annotations": []}
{"role": "student", "content": "okk", "session_id": 10662, "sequence_id": 312, "annotations": []}
{"role": "student", "content": "I will combine all that and include it in my answer for this part of the question", "session_id": 10662, "sequence_id": 313, "annotations": []}
{"role": "volunteer", "content": "Yes, it would be a pretty long response, but that is exactly what they expect for this question.", "session_id": 10662, "sequence_id": 314, "annotations": []}
{"role": "student", "content": "ok", "session_id": 10662, "sequence_id": 315, "annotations": []}
{"role": "student", "content": "Do you perhaps have time for one more question this one is on the shorter side", "session_id": 10662, "sequence_id": 316, "annotations": []}
{"role": "volunteer", "content": "But overall, this FRQ question is really simple actually isn't it? Maybe except part E. \n\nIn part A you just had to look at the graph and see that as the x value increased, the y value did too\n\nIn part B, you just had to read the number from the graph and talk about it\n\nIn part C, you had to isolate each major and look and see, in this group, did y increase or decrease as x increased?\n\nIn part D, you just had to compare three numbers where you could easily determine which was bigger or smaller \n\nIn part E, you had to combine all the concepts together and think about the situation in a realistic standard.\n\nThe majority of the difficulty in this FRQ was the writing and getting full points for each response though, otherwise, the curriculum knowledge needed is really standard.", "session_id": 10662, "sequence_id": 317, "annotations": []}
{"role": "volunteer", "content": "Yes, we could definitely do one more question.", "session_id": 10662, "sequence_id": 318, "annotations": []}
{"role": "student", "content": "Ok thank u so much", "session_id": 10662, "sequence_id": 319, "annotations": []}
{"role": "volunteer", "content": "I would likely have to go after as I have a lot of homework in some other AP classes", "session_id": 10662, "sequence_id": 320, "annotations": []}
{"role": "volunteer", "content": "I'm going to remove question 1 to make room, is that alright>?", "session_id": 10662, "sequence_id": 321, "annotations": []}
{"role": "student", "content": "yes", "session_id": 10662, "sequence_id": 322, "annotations": []}
{"role": "volunteer", "content": "Whenever you are ready, you can put it up", "session_id": 10662, "sequence_id": 323, "annotations": []}
{"role": "volunteer", "content": "Okay, here you want to make sure you have a ruler", "session_id": 10662, "sequence_id": 324, "annotations": []}
{"role": "volunteer", "content": "What is the equation for the line of best fit", "session_id": 10662, "sequence_id": 325, "annotations": []}
{"role": "student", "content": "ok", "session_id": 10662, "sequence_id": 326, "annotations": []}
{"role": "volunteer", "content": "Did you approximate that line?", "session_id": 10662, "sequence_id": 327, "annotations": []}
{"role": "student", "content": "I don't know how to do that", "session_id": 10662, "sequence_id": 328, "annotations": []}
{"role": "volunteer", "content": "As in, did you just look at the points and guess what the line would look like?", "session_id": 10662, "sequence_id": 329, "annotations": []}
{"role": "student", "content": "oh ye", "session_id": 10662, "sequence_id": 330, "annotations": []}
{"role": "volunteer", "content": "Here, you have to do it differently as it actually tells you he equation for the line of best fit", "session_id": 10662, "sequence_id": 331, "annotations": []}
{"role": "volunteer", "content": "What is the equation for the line of best fit here?", "session_id": 10662, "sequence_id": 332, "annotations": []}
{"role": "volunteer", "content": "So, our equation is y = 35.1 + 0.427x", "session_id": 10662, "sequence_id": 333, "annotations": []}
{"role": "volunteer", "content": "Could you plug in two values from the graph here and give me two\nx,y coordinates", "session_id": 10662, "sequence_id": 334, "annotations": []}
{"role": "student", "content": "What two values would I use", "session_id": 10662, "sequence_id": 335, "annotations": []}
{"role": "volunteer", "content": "Any value you see on the x-axis, you can plug into the equation", "session_id": 10662, "sequence_id": 336, "annotations": []}
{"role": "volunteer", "content": "Then take another value from the x-axis and plug it into the equation", "session_id": 10662, "sequence_id": 337, "annotations": []}
{"role": "volunteer", "content": "You maybe want to use a calculator for this", "session_id": 10662, "sequence_id": 338, "annotations": []}
{"role": "student", "content": "ok", "session_id": 10662, "sequence_id": 339, "annotations": []}
{"role": "student", "content": "can I use 50", "session_id": 10662, "sequence_id": 340, "annotations": []}
{"role": "volunteer", "content": "Ye, it just needs to be on the x-axis", "session_id": 10662, "sequence_id": 341, "annotations": []}
{"role": "volunteer", "content": "So we have the coordinate (50, 56.45)", "session_id": 10662, "sequence_id": 342, "annotations": []}
{"role": "volunteer", "content": "Now we need a second coordinate to help us draw our line", "session_id": 10662, "sequence_id": 343, "annotations": []}
{"role": "student", "content": "would whatever coordinate u used be y and what u got from the equation be x", "session_id": 10662, "sequence_id": 344, "annotations": []}
{"role": "volunteer", "content": "Actually, it would be the other way around. Remember, in an equation, you plug in an x value and the equation will return you a y value", "session_id": 10662, "sequence_id": 345, "annotations": []}
{"role": "student", "content": "ohh ok", "session_id": 10662, "sequence_id": 346, "annotations": []}
{"role": "student", "content": "so if there is an equation with the question do you automatically find the x and  y coordinates", "session_id": 10662, "sequence_id": 347, "annotations": []}
{"role": "volunteer", "content": "Did you use another coordinate to help you draw that line?", "session_id": 10662, "sequence_id": 348, "annotations": []}
{"role": "volunteer", "content": "Say I want you to graph a line right", "session_id": 10662, "sequence_id": 349, "annotations": []}
{"role": "volunteer", "content": "I can find two coordinate from the line", "session_id": 10662, "sequence_id": 350, "annotations": []}
{"role": "volunteer", "content": "Say, I find them and they are there and there right?", "session_id": 10662, "sequence_id": 351, "annotations": []}
{"role": "volunteer", "content": "Now, to graph my line", "session_id": 10662, "sequence_id": 352, "annotations": []}
{"role": "volunteer", "content": "I can just draw a line through them both", "session_id": 10662, "sequence_id": 353, "annotations": []}
{"role": "student", "content": "so I should find two coordinates before drawing my line", "session_id": 10662, "sequence_id": 354, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 10662, "sequence_id": 355, "annotations": []}
{"role": "volunteer", "content": "And plot them somewhere on your graph", "session_id": 10662, "sequence_id": 356, "annotations": []}
{"role": "volunteer", "content": "Then, when you are taking your exam on paper probably, you can use a ruler to draw a straight line through them both", "session_id": 10662, "sequence_id": 357, "annotations": []}
{"role": "student", "content": "would that work", "session_id": 10662, "sequence_id": 358, "annotations": []}
{"role": "volunteer", "content": "Yes, now you would have to plot that point on the graph", "session_id": 10662, "sequence_id": 359, "annotations": []}
{"role": "volunteer", "content": "I have absolutely no idea how you just drew a perfect line like that on the whiteboard", "session_id": 10662, "sequence_id": 360, "annotations": []}
{"role": "volunteer", "content": "But you would do exactly that on paper", "session_id": 10662, "sequence_id": 361, "annotations": []}
{"role": "volunteer", "content": "I was literally just about to type \"it's probably gonna be hard to draw a perfect line through those points on here but it'll be easier on paper\"", "session_id": 10662, "sequence_id": 362, "annotations": []}
{"role": "volunteer", "content": "Anyways, that is exactly how you graph this line", "session_id": 10662, "sequence_id": 363, "annotations": []}
{"role": "student", "content": "Ye", "session_id": 10662, "sequence_id": 364, "annotations": []}
{"role": "student", "content": "So that would be it for drawing the least squares regression line", "session_id": 10662, "sequence_id": 365, "annotations": []}
{"role": "volunteer", "content": "Yes, you just need to find two points and draw a straight line through them", "session_id": 10662, "sequence_id": 366, "annotations": []}
{"role": "student", "content": "For this question that was the only part I was confused about for part b and c it was pretty easy", "session_id": 10662, "sequence_id": 367, "annotations": []}
{"role": "volunteer", "content": "Unfortunately, I understand this is an FRQ, but this session has been going on for really long... and I have a lot of homework due tonight.", "session_id": 10662, "sequence_id": 368, "annotations": []}
{"role": "student", "content": "Yes that was the last part", "session_id": 10662, "sequence_id": 369, "annotations": []}
{"role": "student", "content": "Thank you so much for your time", "session_id": 10662, "sequence_id": 370, "annotations": []}
{"role": "student", "content": "I really appreciate it", "session_id": 10662, "sequence_id": 371, "annotations": []}
{"role": "student", "content": "I learned a lot and will definitely use those tips", "session_id": 10662, "sequence_id": 372, "annotations": []}
{"role": "volunteer", "content": "That sounds great! I hope our session helped out, most of AP Stats is concept based so don't get too caught by actual number knowledge, because it's mainly just knowing what's happening in the situation.\n\nMake sure to include proper vocabulary and context in your FRQ responses as well, especially for this unit.", "session_id": 10662, "sequence_id": 373, "annotations": []}
{"role": "student", "content": "I will most definitely do that thanks again!!", "session_id": 10662, "sequence_id": 374, "annotations": []}
{"role": "student", "content": "Have a great rest of your day", "session_id": 10662, "sequence_id": 375, "annotations": []}
{"role": "volunteer", "content": "Goodbye!", "session_id": 10662, "sequence_id": 376, "annotations": []}
{"role": "student", "content": "hello", "session_id": 11448, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "hi", "session_id": 11448, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "problems, now please", "session_id": 11448, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "I need help on my homework", "session_id": 11448, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "there", "session_id": 11448, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "Which problems", "session_id": 11448, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "can you do 26 questions with me 5-30", "session_id": 11448, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "are you able to", "session_id": 11448, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "I'll see what I can do", "session_id": 11448, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "ok", "session_id": 11448, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "number 5", "session_id": 11448, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "subtract 9.18 from 20", "session_id": 11448, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "ok", "session_id": 11448, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "o.182", "session_id": 11448, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "0.182?", "session_id": 11448, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "10.82", "session_id": 11448, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "You keep the decimal point in line", "session_id": 11448, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "since there a 4 decimal places", "session_id": 11448, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "No there are 2", "session_id": 11448, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "that's what I learned today", "session_id": 11448, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "by my teacher", "session_id": 11448, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "or is that just in sales tax", "session_id": 11448, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "No your teacher is wrong", "session_id": 11448, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "this problem has 2 decimals", "session_id": 11448, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "can we go on to the next probelm", "session_id": 11448, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "oh", "session_id": 11448, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "ya", "session_id": 11448, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "For number 6, divide 288 by 16", "session_id": 11448, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "ok", "session_id": 11448, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "so 18?", "session_id": 11448, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 11448, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "ok next", "session_id": 11448, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "question 6 actually", "session_id": 11448, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "its", "session_id": 11448, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "Number 7 Number 7", "session_id": 11448, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "were on question 6", "session_id": 11448, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "it's 18", "session_id": 11448, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "oh nevermind", "session_id": 11448, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "hold up", "session_id": 11448, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "ok", "session_id": 11448, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "I gave you the next few answers", "session_id": 11448, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "ok", "session_id": 11448, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "um I did it", "session_id": 11448, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "For number 10, a prime number is a number that is only divisible by itself and 1", "session_id": 11448, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "you got everything?", "session_id": 11448, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "can you show work again for 8", "session_id": 11448, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "reallyy quick", "session_id": 11448, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "up", "session_id": 11448, "sequence_id": 47, "annotations": []}
{"role": "student", "content": "press Ctrl z", "session_id": 11448, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "rlq", "session_id": 11448, "sequence_id": 49, "annotations": []}
{"role": "student", "content": "oh its 5", "session_id": 11448, "sequence_id": 50, "annotations": []}
{"role": "student", "content": "ok", "session_id": 11448, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "just making sure", "session_id": 11448, "sequence_id": 52, "annotations": []}
{"role": "student", "content": "ok", "session_id": 11448, "sequence_id": 53, "annotations": []}
{"role": "student", "content": "ok so I did the work and is it d?", "session_id": 11448, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "#11? Yes", "session_id": 11448, "sequence_id": 55, "annotations": []}
{"role": "student", "content": "yesss", "session_id": 11448, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "Want me to explain", "session_id": 11448, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "?", "session_id": 11448, "sequence_id": 58, "annotations": []}
{"role": "student", "content": "wait was it wrong", "session_id": 11448, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "No, I want to explain it to you", "session_id": 11448, "sequence_id": 60, "annotations": []}
{"role": "student", "content": "oh ok", "session_id": 11448, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "go over this for a few minutes", "session_id": 11448, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "I'm getting water", "session_id": 11448, "sequence_id": 63, "annotations": []}
{"role": "student", "content": "ok", "session_id": 11448, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "The kitchen", "session_id": 11448, "sequence_id": 65, "annotations": [{"pii_type": "LOCATION", "surrogate": "The kitchen", "start": 0, "end": 11}]}
{"role": "volunteer", "content": "Let's continue", "session_id": 11448, "sequence_id": 66, "annotations": []}
{"role": "student", "content": "that's 11", "session_id": 11448, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "That's actually #12", "session_id": 11448, "sequence_id": 68, "annotations": []}
{"role": "student", "content": "i mean 12", "session_id": 11448, "sequence_id": 69, "annotations": []}
{"role": "student", "content": "its right?", "session_id": 11448, "sequence_id": 70, "annotations": []}
{"role": "student", "content": "Im sure", "session_id": 11448, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "Yessir", "session_id": 11448, "sequence_id": 72, "annotations": []}
{"role": "student", "content": "ok", "session_id": 11448, "sequence_id": 73, "annotations": []}
{"role": "student", "content": "number 13", "session_id": 11448, "sequence_id": 74, "annotations": []}
{"role": "volunteer", "content": "I'm sure it's 56", "session_id": 11448, "sequence_id": 75, "annotations": []}
{"role": "student", "content": "got that to", "session_id": 11448, "sequence_id": 76, "annotations": []}
{"role": "student", "content": "15 is is 90", "session_id": 11448, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "no", "session_id": 11448, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "B) 45", "session_id": 11448, "sequence_id": 79, "annotations": []}
{"role": "student", "content": "oh ok", "session_id": 11448, "sequence_id": 80, "annotations": []}
{"role": "student", "content": "got it", "session_id": 11448, "sequence_id": 81, "annotations": []}
{"role": "student", "content": "let me read 18", "session_id": 11448, "sequence_id": 82, "annotations": []}
{"role": "student", "content": "read it", "session_id": 11448, "sequence_id": 83, "annotations": []}
{"role": "student", "content": "is that 80.90", "session_id": 11448, "sequence_id": 84, "annotations": []}
{"role": "student", "content": "is that = 80.90", "session_id": 11448, "sequence_id": 85, "annotations": []}
{"role": "student", "content": "oh yeah it is", "session_id": 11448, "sequence_id": 86, "annotations": []}
{"role": "volunteer", "content": "0.90", "session_id": 11448, "sequence_id": 87, "annotations": []}
{"role": "student", "content": "oh", "session_id": 11448, "sequence_id": 88, "annotations": []}
{"role": "student", "content": "ok", "session_id": 11448, "sequence_id": 89, "annotations": []}
{"role": "volunteer", "content": "hold on", "session_id": 11448, "sequence_id": 90, "annotations": []}
{"role": "student", "content": "alright", "session_id": 11448, "sequence_id": 91, "annotations": []}
{"role": "student", "content": "hello", "session_id": 11448, "sequence_id": 92, "annotations": []}
{"role": "volunteer", "content": "hey", "session_id": 11448, "sequence_id": 93, "annotations": []}
{"role": "student", "content": "number 19 is", "session_id": 11448, "sequence_id": 94, "annotations": []}
{"role": "student", "content": "first part is 0.09 second part is $0.90", "session_id": 11448, "sequence_id": 95, "annotations": []}
{"role": "student", "content": "right?", "session_id": 11448, "sequence_id": 96, "annotations": []}
{"role": "volunteer", "content": "eys", "session_id": 11448, "sequence_id": 97, "annotations": []}
{"role": "student", "content": "yes", "session_id": 11448, "sequence_id": 98, "annotations": []}
{"role": "student", "content": "perfect", "session_id": 11448, "sequence_id": 99, "annotations": []}
{"role": "student", "content": "is the reciprocal 3/2", "session_id": 11448, "sequence_id": 100, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 11448, "sequence_id": 101, "annotations": []}
{"role": "student", "content": "yes", "session_id": 11448, "sequence_id": 102, "annotations": []}
{"role": "student", "content": "number 21", "session_id": 11448, "sequence_id": 103, "annotations": []}
{"role": "volunteer", "content": "divide both sides by 7", "session_id": 11448, "sequence_id": 104, "annotations": []}
{"role": "student", "content": "can you show the equation", "session_id": 11448, "sequence_id": 105, "annotations": []}
{"role": "student", "content": "pls", "session_id": 11448, "sequence_id": 106, "annotations": []}
{"role": "student", "content": "can you do it with me", "session_id": 11448, "sequence_id": 107, "annotations": []}
{"role": "student", "content": "oh ok", "session_id": 11448, "sequence_id": 108, "annotations": []}
{"role": "student", "content": "number 22", "session_id": 11448, "sequence_id": 109, "annotations": []}
{"role": "student", "content": "let me read it", "session_id": 11448, "sequence_id": 110, "annotations": []}
{"role": "student", "content": "I read it", "session_id": 11448, "sequence_id": 111, "annotations": []}
{"role": "student", "content": "I got 6.15", "session_id": 11448, "sequence_id": 112, "annotations": []}
{"role": "volunteer", "content": "??", "session_id": 11448, "sequence_id": 113, "annotations": []}
{"role": "student", "content": "oh ok", "session_id": 11448, "sequence_id": 114, "annotations": []}
{"role": "student", "content": "ya I see it", "session_id": 11448, "sequence_id": 115, "annotations": []}
{"role": "student", "content": "got it", "session_id": 11448, "sequence_id": 116, "annotations": []}
{"role": "student", "content": "got that", "session_id": 11448, "sequence_id": 117, "annotations": []}
{"role": "student", "content": "next question", "session_id": 11448, "sequence_id": 118, "annotations": []}
{"role": "student", "content": "hello", "session_id": 11448, "sequence_id": 119, "annotations": []}
{"role": "volunteer", "content": "oh sorry", "session_id": 11448, "sequence_id": 120, "annotations": []}
{"role": "student", "content": "its alright", "session_id": 11448, "sequence_id": 121, "annotations": []}
{"role": "student", "content": "is that a +", "session_id": 11448, "sequence_id": 122, "annotations": []}
{"role": "student", "content": "oh ya", "session_id": 11448, "sequence_id": 123, "annotations": []}
{"role": "volunteer", "content": "number 27 is 0", "session_id": 11448, "sequence_id": 124, "annotations": []}
{"role": "student", "content": "oh", "session_id": 11448, "sequence_id": 125, "annotations": []}
{"role": "student", "content": "wait is 26 6 1/2", "session_id": 11448, "sequence_id": 126, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 11448, "sequence_id": 127, "annotations": []}
{"role": "student", "content": "ok", "session_id": 11448, "sequence_id": 128, "annotations": []}
{"role": "student", "content": "alright 28 is 1/2 right", "session_id": 11448, "sequence_id": 129, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 11448, "sequence_id": 130, "annotations": []}
{"role": "student", "content": "ok", "session_id": 11448, "sequence_id": 131, "annotations": []}
{"role": "student", "content": "two more", "session_id": 11448, "sequence_id": 132, "annotations": []}
{"role": "volunteer", "content": "number 29 is 36", "session_id": 11448, "sequence_id": 133, "annotations": []}
{"role": "student", "content": "ok", "session_id": 11448, "sequence_id": 134, "annotations": []}
{"role": "student", "content": "now last one", "session_id": 11448, "sequence_id": 135, "annotations": []}
{"role": "student", "content": "lets right the equation", "session_id": 11448, "sequence_id": 136, "annotations": []}
{"role": "student", "content": "down together", "session_id": 11448, "sequence_id": 137, "annotations": []}
{"role": "student", "content": "ok", "session_id": 11448, "sequence_id": 138, "annotations": []}
{"role": "student", "content": "lets do 30 now", "session_id": 11448, "sequence_id": 139, "annotations": []}
{"role": "volunteer", "content": "How should we go about this?", "session_id": 11448, "sequence_id": 140, "annotations": []}
{"role": "student", "content": "ooh I'm kinda confused", "session_id": 11448, "sequence_id": 141, "annotations": []}
{"role": "student", "content": "can you help", "session_id": 11448, "sequence_id": 142, "annotations": []}
{"role": "student", "content": "maybe", "session_id": 11448, "sequence_id": 143, "annotations": []}
{"role": "volunteer", "content": "Ohh", "session_id": 11448, "sequence_id": 144, "annotations": []}
{"role": "student", "content": "ok", "session_id": 11448, "sequence_id": 145, "annotations": []}
{"role": "student", "content": "we got this", "session_id": 11448, "sequence_id": 146, "annotations": []}
{"role": "student", "content": "you got this", "session_id": 11448, "sequence_id": 147, "annotations": []}
{"role": "student", "content": "wooo", "session_id": 11448, "sequence_id": 148, "annotations": []}
{"role": "student", "content": "that's the final answe", "session_id": 11448, "sequence_id": 149, "annotations": []}
{"role": "student", "content": "r", "session_id": 11448, "sequence_id": 150, "annotations": []}
{"role": "volunteer", "content": "Yay!!", "session_id": 11448, "sequence_id": 151, "annotations": []}
{"role": "student", "content": "$2.88", "session_id": 11448, "sequence_id": 152, "annotations": []}
{"role": "student", "content": "wait can you check two questions I did by myself rlq", "session_id": 11448, "sequence_id": 153, "annotations": []}
{"role": "volunteer", "content": "hurr y up cos I gotta sleep", "session_id": 11448, "sequence_id": 154, "annotations": []}
{"role": "student", "content": "that's it", "session_id": 11448, "sequence_id": 155, "annotations": []}
{"role": "student", "content": "just see rlq", "session_id": 11448, "sequence_id": 156, "annotations": []}
{"role": "student", "content": "you don't have to do the problem", "session_id": 11448, "sequence_id": 157, "annotations": []}
{"role": "student", "content": "for 1 is it 20% for to is it 0.69 cents", "session_id": 11448, "sequence_id": 158, "annotations": []}
{"role": "volunteer", "content": "which one?", "session_id": 11448, "sequence_id": 159, "annotations": []}
{"role": "student", "content": "number 1 20%", "session_id": 11448, "sequence_id": 160, "annotations": []}
{"role": "student", "content": "number2 0.69 cents", "session_id": 11448, "sequence_id": 161, "annotations": []}
{"role": "student", "content": "is it right", "session_id": 11448, "sequence_id": 162, "annotations": []}
{"role": "volunteer", "content": "written plractice? #1 is 16", "session_id": 11448, "sequence_id": 163, "annotations": []}
{"role": "student", "content": "no homework", "session_id": 11448, "sequence_id": 164, "annotations": []}
{"role": "student", "content": "those two", "session_id": 11448, "sequence_id": 165, "annotations": []}
{"role": "student", "content": "1 and two", "session_id": 11448, "sequence_id": 166, "annotations": []}
{"role": "student", "content": "#1 and #2", "session_id": 11448, "sequence_id": 167, "annotations": []}
{"role": "volunteer", "content": "Yeah, #1 is 16", "session_id": 11448, "sequence_id": 168, "annotations": []}
{"role": "volunteer", "content": "For #2, Im putting it on the board", "session_id": 11448, "sequence_id": 169, "annotations": []}
{"role": "volunteer", "content": "#2 is 68 cents", "session_id": 11448, "sequence_id": 170, "annotations": []}
{"role": "student", "content": "ok well good night to you", "session_id": 11448, "sequence_id": 171, "annotations": []}
{"role": "student", "content": "bye", "session_id": 11448, "sequence_id": 172, "annotations": []}
{"role": "volunteer", "content": "Hi Leo! My name is Ava. What can I help with today? :)", "session_id": 12151, "sequence_id": 0, "annotations": [{"pii_type": "PERSON", "surrogate": "Leo", "start": 3, "end": 6}, {"pii_type": "PERSON", "surrogate": "Ava", "start": 19, "end": 22}]}
{"role": "student", "content": "the picture on the graph", "session_id": 12151, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "Can you enlarge the picture, please?", "session_id": 12151, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "I did", "session_id": 12151, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "Okay! How do you think we should start?", "session_id": 12151, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "I don't understand it", "session_id": 12151, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "Can you put the picture back please?", "session_id": 12151, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "I did", "session_id": 12151, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "do you see the picture", "session_id": 12151, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "No, I do not.", "session_id": 12151, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "do you see the picture now", "session_id": 12151, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "Yes!", "session_id": 12151, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "ok", "session_id": 12151, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "So the two triangles would be related by a postulate or theorem, correct?", "session_id": 12151, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "yes", "session_id": 12151, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "So we have one angle that is congruent. There are also two different sides that are congruent to the same side on the other triangle.", "session_id": 12151, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "What postulate or theorem would this be?", "session_id": 12151, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "I think theo0", "session_id": 12151, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "think theorem", "session_id": 12151, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "Which theorem?", "session_id": 12151, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "Like SAS, SSS, SSA?", "session_id": 12151, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "would it be sss", "session_id": 12151, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "Good try! But there is a congruent angle in between the two sides! Which theorem would it be then?", "session_id": 12151, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "SSA", "session_id": 12151, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "would it be SSA?", "session_id": 12151, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "Give me one moment.", "session_id": 12151, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "ok", "session_id": 12151, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "Good try! But it's actually SAS!", "session_id": 12151, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "The angle is in between the two congruent sides, so it's SAS!", "session_id": 12151, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "Okay okay I get it", "session_id": 12151, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "Do you need help with anything else? :)", "session_id": 12151, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "I need help on this one", "session_id": 12151, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "Okay! Try using the knowledge I gave you with the last problem to try to figure it out!", "session_id": 12151, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "k", "session_id": 12151, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "What postulate or theorem are you thinking it is?", "session_id": 12151, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "The angle is in between the two congruent sides so...", "session_id": 12151, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "Leo?", "session_id": 12151, "sequence_id": 36, "annotations": [{"pii_type": "PERSON", "surrogate": "Leo", "start": 0, "end": 3}]}
{"role": "student", "content": "Hi", "session_id": 18827, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "Happy Friday!", "session_id": 18827, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "Happy friday", "session_id": 18827, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "So what help do you need", "session_id": 18827, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "I need help determining if a point goes through the origin", "session_id": 18827, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "Hello?", "session_id": 18827, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "That depends. What's the full problem", "session_id": 18827, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "The expression y=5x", "session_id": 18827, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "That's it?", "session_id": 18827, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "And y=3x", "session_id": 18827, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "That\u2019s the equations", "session_id": 18827, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "In that case, yes, it's more than safe to say that both lines go through the origin. Want an explanation?", "session_id": 18827, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "Yes how?", "session_id": 18827, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "I can\u2019t tell", "session_id": 18827, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "Okay, so the slope of a line is y=mx+b. A line goes through the origin if it has a b-value of 0.", "session_id": 18827, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "What\u2019s b?", "session_id": 18827, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "It's the y-intercept.", "session_id": 18827, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "You can also determine this by substituting the origin's coordinates (0, 0) into the original equation. If equation fits, then the line passes through the origin.", "session_id": 18827, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "What\u2019s m and x", "session_id": 18827, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "m=slope\nx=x-coordinate", "session_id": 18827, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "Ok", "session_id": 18827, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "Well in the original equation, y=3x = 9 and y=10x equals 10", "session_id": 18827, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "That doesn\u2019t make sense", "session_id": 18827, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "Wait what", "session_id": 18827, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "Or does the equation have to follow a logical path?", "session_id": 18827, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "I tried solving the equation and I got 9", "session_id": 18827, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "And 10", "session_id": 18827, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "You gave me y=3x, right?", "session_id": 18827, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 18827, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "Well then it should go through the origin. The only way y=9, is if x=3.", "session_id": 18827, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "Check the board", "session_id": 18827, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "Oh", "session_id": 18827, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "The problem says 3 pizzas and the number of pizzas is 32", "session_id": 18827, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "3", "session_id": 18827, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "Yeah, the Gonzalez family's graph would be represented by y=8x", "session_id": 18827, "sequence_id": 34, "annotations": [{"pii_type": "PERSON", "surrogate": "Gonzalez", "start": 10, "end": 18}]}
{"role": "volunteer", "content": "because 24 divided by 3 equally is 8", "session_id": 18827, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "8x3=24 so it is proportional", "session_id": 18827, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "ye", "session_id": 18827, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "And 10x3=30 slices", "session_id": 18827, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "So it is proportional", "session_id": 18827, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "Yes!", "session_id": 18827, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "Hey, are you there? Cause if not, I'll end our session", "session_id": 18827, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "Bye", "session_id": 18827, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "Emily", "session_id": 1311, "sequence_id": 0, "annotations": [{"pii_type": "PERSON", "surrogate": "Emily", "start": 0, "end": 5}]}
{"role": "student", "content": "hey", "session_id": 1311, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "And how are you doing today, Emily?", "session_id": 1311, "sequence_id": 2, "annotations": [{"pii_type": "PERSON", "surrogate": "Emily", "start": 29, "end": 34}]}
{"role": "student", "content": "I\u2019m doing good , and you ?", "session_id": 1311, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "Thank you", "session_id": 1311, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "That's very kind", "session_id": 1311, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "And do you have some maths homework, geometry homework for us to do today.", "session_id": 1311, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "you\u2019re welcome!", "session_id": 1311, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "yes , geometry is kicking my butt !!\ud83d\ude2d\ud83d\ude2d\ud83d\ude2d", "session_id": 1311, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "You'll be OK", "session_id": 1311, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "we\u2019re working on translate right now and special right triangle ,45-45-90 and 30-60-90", "session_id": 1311, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "Working on translating", "session_id": 1311, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "yeah, vectors, translation of vectors", "session_id": 1311, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "and special right-angled triangles", "session_id": 1311, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "Amazing", "session_id": 1311, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "Yep", "session_id": 1311, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "Good. Can you draw us a right-angle triangle, please, on the board.", "session_id": 1311, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "sure!", "session_id": 1311, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "You can use the shapes button to help you.", "session_id": 1311, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "Can you see my triangle", "session_id": 1311, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "ok!", "session_id": 1311, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "I'm going to adjust my triangle.", "session_id": 1311, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "so", "session_id": 1311, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "yes!", "session_id": 1311, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "it looks like a right-angled one.", "session_id": 1311, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "Then I got to rotate it so it sits.", "session_id": 1311, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "on the base", "session_id": 1311, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "Can you try that as well for me? Use your shakes to to help you out with this. neat drawing.", "session_id": 1311, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "Have you found the triangle button?", "session_id": 1311, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "ok", "session_id": 1311, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "Good", "session_id": 1311, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "yes", "session_id": 1311, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "i\u2019m on my phone", "session_id": 1311, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "OK. We'll take that as a good example of a right angle triangle. Could you put a little square in the corner where the right angle is.", "session_id": 1311, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "Yes, they're lovely", "session_id": 1311, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "yes", "session_id": 1311, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "And have you got a ruler with you?", "session_id": 1311, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "no \ud83d\ude2d", "session_id": 1311, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "Ah, that's all right.", "session_id": 1311, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "So I'd like you to use the", "session_id": 1311, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "grid lines to help you work out the distances.", "session_id": 1311, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "So", "session_id": 1311, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "make a triangle", "session_id": 1311, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "using the shapes", "session_id": 1311, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "menu for me", "session_id": 1311, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "Can you click on the Shapes menu?", "session_id": 1311, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "That's it", "session_id": 1311, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "And then rotate your triangle.", "session_id": 1311, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "Yeah, you have to try and adjust the lengths", "session_id": 1311, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "using the handles when you select it, you should see some dots that will help you.", "session_id": 1311, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "what sort of triangle have you got at the moment, Emily?", "session_id": 1311, "sequence_id": 50, "annotations": [{"pii_type": "PERSON", "surrogate": "Emily", "start": 50, "end": 55}]}
{"role": "volunteer", "content": "Is it a right-angled or an acute angle?", "session_id": 1311, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "Are there any right angles in your triangle at the moment?", "session_id": 1311, "sequence_id": 52, "annotations": []}
{"role": "student", "content": "it\u2019s kinda hard ", "session_id": 1311, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "It's kind of hard. I, I understand.", "session_id": 1311, "sequence_id": 54, "annotations": []}
{"role": "student", "content": "sorta\ud83d\ude2d\ud83d\ude2d", "session_id": 1311, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "So we'll use my one then as an example for now.", "session_id": 1311, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "my green triangle", "session_id": 1311, "sequence_id": 57, "annotations": []}
{"role": "student", "content": "ok!", "session_id": 1311, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "and will use some", "session_id": 1311, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "axis as well to help us out? Do you know about the Y axis and the X axis.", "session_id": 1311, "sequence_id": 60, "annotations": []}
{"role": "student", "content": "I forgot \ud83d\ude2d", "session_id": 1311, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "That's OK", "session_id": 1311, "sequence_id": 62, "annotations": []}
{"role": "student", "content": "I do not like math \ud83d\ude2d\ud83d\ude2d", "session_id": 1311, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "So the X axis is horizontal one. Can you see after all you?", "session_id": 1311, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "an X and a Y axis at the moment.", "session_id": 1311, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "And along the x-axis,", "session_id": 1311, "sequence_id": 66, "annotations": []}
{"role": "student", "content": "ok!", "session_id": 1311, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "we have a certain side, we can call them, yeah, but certain letters if you want. So of course at the crossover point we have what's known as the origin.", "session_id": 1311, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "of the graph.", "session_id": 1311, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "Let's put that in. That's normally.", "session_id": 1311, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "00 mark, where the two axes cross over.", "session_id": 1311, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "That's the origin. And then we can call the other two corners.", "session_id": 1311, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "A", "session_id": 1311, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "corner A and corner B.", "session_id": 1311, "sequence_id": 74, "annotations": []}
{"role": "volunteer", "content": "Can you label your triangle as well, somehow?", "session_id": 1311, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "Put letter O at the corner at the right-angled corner.", "session_id": 1311, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "and A and B on the other two corners.", "session_id": 1311, "sequence_id": 77, "annotations": []}
{"role": "student", "content": "ok", "session_id": 1311, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "Yeah, so the right angle corner is the one with that little square that I've put in on the green triangle. Put an Oix so that little square.", "session_id": 1311, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "Yeah, and then put", "session_id": 1311, "sequence_id": 80, "annotations": []}
{"role": "volunteer", "content": "A and B opposite", "session_id": 1311, "sequence_id": 81, "annotations": []}
{"role": "volunteer", "content": "on the long side", "session_id": 1311, "sequence_id": 82, "annotations": []}
{"role": "student", "content": "both ?", "session_id": 1311, "sequence_id": 83, "annotations": []}
{"role": "volunteer", "content": "Yeah, you need to put, yeah, 3 corners in for your triangle. The corner O", "session_id": 1311, "sequence_id": 84, "annotations": []}
{"role": "volunteer", "content": "which is the right angle corner.", "session_id": 1311, "sequence_id": 85, "annotations": []}
{"role": "volunteer", "content": "and the other two corners you can label A and B.", "session_id": 1311, "sequence_id": 86, "annotations": []}
{"role": "volunteer", "content": "That's it", "session_id": 1311, "sequence_id": 87, "annotations": []}
{"role": "volunteer", "content": "And put in the third corner, call it letter O.", "session_id": 1311, "sequence_id": 88, "annotations": []}
{"role": "volunteer", "content": "Like I've done on my triangle.", "session_id": 1311, "sequence_id": 89, "annotations": []}
{"role": "volunteer", "content": "That's good. So we have got", "session_id": 1311, "sequence_id": 90, "annotations": []}
{"role": "volunteer", "content": "33 sides, and the three sides are what sides? Side", "session_id": 1311, "sequence_id": 91, "annotations": []}
{"role": "volunteer", "content": "OA", "session_id": 1311, "sequence_id": 92, "annotations": []}
{"role": "volunteer", "content": "Can you tell me the other two", "session_id": 1311, "sequence_id": 93, "annotations": []}
{"role": "volunteer", "content": "This side OB and they form", "session_id": 1311, "sequence_id": 94, "annotations": []}
{"role": "volunteer", "content": "the right angle", "session_id": 1311, "sequence_id": 95, "annotations": []}
{"role": "volunteer", "content": "And of course, opposite the right angle corner we have side", "session_id": 1311, "sequence_id": 96, "annotations": []}
{"role": "volunteer", "content": "What do we have? Side.", "session_id": 1311, "sequence_id": 97, "annotations": []}
{"role": "volunteer", "content": "A B", "session_id": 1311, "sequence_id": 98, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 1311, "sequence_id": 99, "annotations": []}
{"role": "volunteer", "content": "I'll be back in about half an hour, Emily. So do look out for me when I come back online.", "session_id": 1311, "sequence_id": 100, "annotations": [{"pii_type": "PERSON", "surrogate": "Emily", "start": 36, "end": 41}]}
{"role": "student", "content": "can we do with the letters like 4 on the hypotenuse and find the short side ", "session_id": 1311, "sequence_id": 101, "annotations": []}
{"role": "volunteer", "content": "and practice measuring your sides, cause my sides measure", "session_id": 1311, "sequence_id": 102, "annotations": []}
{"role": "student", "content": "phhh", "session_id": 1311, "sequence_id": 103, "annotations": []}
{"role": "volunteer", "content": "12.", "session_id": 1311, "sequence_id": 104, "annotations": []}
{"role": "student", "content": "ok", "session_id": 1311, "sequence_id": 105, "annotations": []}
{"role": "volunteer", "content": "9.5 on this side.", "session_id": 1311, "sequence_id": 106, "annotations": []}
{"role": "volunteer", "content": "9.5 units, and the same on the other side, 9.5 units. So I've got a right, a right angle isosceles triangle here.", "session_id": 1311, "sequence_id": 107, "annotations": []}
{"role": "volunteer", "content": "because it's got two equal sides.", "session_id": 1311, "sequence_id": 108, "annotations": []}
{"role": "student", "content": "Hi", "session_id": 2885, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "Hello", "session_id": 2885, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "How can I help?", "session_id": 2885, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "this is Emily mom", "session_id": 2885, "sequence_id": 3, "annotations": [{"pii_type": "PERSON", "surrogate": "Emily", "start": 8, "end": 13}]}
{"role": "student", "content": "I have her math assignment that I need you to have her read and answer 15 questions herself please", "session_id": 2885, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "if she does not get it right please correct and explain", "session_id": 2885, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "Okay, no problem.", "session_id": 2885, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "I need to convert the pdf to picture", "session_id": 2885, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "as you do not support pdf right?", "session_id": 2885, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "No, we do not.", "session_id": 2885, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "Can you take a screenshot or type the question?", "session_id": 2885, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "i will", "session_id": 2885, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "one sec please", "session_id": 2885, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "Take your time :)", "session_id": 2885, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "i shared you 15 questions", "session_id": 2885, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "please have her do her own", "session_id": 2885, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "thanks", "session_id": 2885, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "lets me know when you want me turn on the audio", "session_id": 2885, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "plesae tell her do not use calculator", "session_id": 2885, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "Sounds good.", "session_id": 2885, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "Let's start with the first question.", "session_id": 2885, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "Hello?", "session_id": 2885, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "Hello.", "session_id": 2885, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "Oh, I'll make this to me. I can't hear you.", "session_id": 2885, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "Can you turn on the button right of you?", "session_id": 2885, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "um.", "session_id": 2885, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "Sorry, my mic doesn't work.", "session_id": 2885, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "she does not know how to type keyboard", "session_id": 2885, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "we can try a different tutor sorry", "session_id": 2885, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "Oh", "session_id": 2885, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "Is there uh then", "session_id": 2885, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "oh.", "session_id": 2885, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "then and go and like bingo are big boy.", "session_id": 2885, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "to", "session_id": 2885, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "That's okay, feel feel to speak. I will answer using the chat.", "session_id": 2885, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "sorry we can try a different tutor", "session_id": 2885, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "as she will need to get explain too", "session_id": 2885, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "i gotta leave the room", "session_id": 2885, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "Alright, have a nice day.", "session_id": 2885, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "thank you for your time", "session_id": 2885, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "No problem. Good luck :)", "session_id": 2885, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "Hi!", "session_id": 624, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "Hello! nice to meet you", "session_id": 624, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "What are we working on today?", "session_id": 624, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "So I am currently studying/practicing by doing problems that I've already done on homework but doing them again with different numbers but same format for some extra practice I made it into a pdf so I can see how the problem is solved in case i forget etc", "session_id": 624, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "ok sounds great! is there a way you can screen share or take a screen shot of the questions and share that?", "session_id": 624, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "sure", "session_id": 624, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "your work looks perfect!", "session_id": 624, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "Yeah but im saying", "session_id": 624, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "I did the homework with how to solve it some written by a past coach to use for practice", "session_id": 624, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "But I want the problem rewritten with different numbers but same format, does that make sense?", "session_id": 624, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "yes that make sense let me come up with a quick problem.", "session_id": 624, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "kk", "session_id": 624, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "Is that the kind of problem you wanted?", "session_id": 624, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "yes im writing on paper rn", "session_id": 624, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "well il solve on board first", "session_id": 624, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "this/", "session_id": 624, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "?", "session_id": 624, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "can you circle your answer?Im sorry I cant tell which numbers you set as your final answer.", "session_id": 624, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "hi there, I'm Alex I can help you with your math!", "session_id": 4055, "sequence_id": 0, "annotations": [{"pii_type": "LOCATION", "surrogate": "there", "start": 3, "end": 8}, {"pii_type": "PERSON", "surrogate": "Alex", "start": 14, "end": 18}]}
{"role": "student", "content": "Hello I need to study for my algebra final", "session_id": 4055, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "great! I can help you with that! Do you have questions that we can work though?", "session_id": 4055, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "I will try to upload my study guide", "session_id": 4055, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "That would be perfect! Feel free to ask any questions you may have:)", "session_id": 4055, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "I'm sorry but I'm having very much trouble understanding almost everything that's in the packet. So I'm gonna need thorough help and I will be paying attention very well.", "session_id": 4055, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "I would also appreciate it if we went step by step.", "session_id": 4055, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "And if you don't mind turning your camera on so I can understand it more, feel free, but if you don't feel comfortable, that's totally fine.", "session_id": 4055, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "Sounds good! lets start from the beginning! I'm in a quiet spot so I can't turn on my camera :(", "session_id": 4055, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "It looks like formulas are going to be really important for this!", "session_id": 4055, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "Yes, and my teacher did make us, um.", "session_id": 4055, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "make flashcards for the formula, so I do have them in flash cards. If you would just give me a second to go get them. I can go get them.", "session_id": 4055, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "Thats great!", "session_id": 4055, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "yes, we will need to start with the formula for circumference if you can find it :)", "session_id": 4055, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "Will you have access to the formulas for the final, or do they need to be memorized?", "session_id": 4055, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "Memorized", "session_id": 4055, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "to the circumference formula is", "session_id": 4055, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "pi times diameter", "session_id": 4055, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "2 times pi times R", "session_id": 4055, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "or it's 2 pi times are.", "session_id": 4055, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "thats correct! so can you identify which parts of the first problem will be used for this?", "session_id": 4055, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "We'd have to figure out that diameter first to multiply it by", "session_id": 4055, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "pi", "session_id": 4055, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "That is one good way of doing it:) remember that there are two formulas that you can use, in this case since you already have radius it might be easier to use 2*pi*r", "session_id": 4055, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "so multiply 2 times pi and then multiply that by 9.", "session_id": 4055, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "Thats right!!!", "session_id": 4055, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "6.28", "session_id": 4055, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "times 9", "session_id": 4055, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "yess!!!", "session_id": 4055, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "If it was 5652, where would we put the decimal?", "session_id": 4055, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "Would it still be between 56 and 60.", "session_id": 4055, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "Oh wait.", "session_id": 4055, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "between 56 and 60", "session_id": 4055, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "or would it be between", "session_id": 4055, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "5 and 6", "session_id": 4055, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "ahh i see what your saying, you can think of it as 628*9 and then you have to divide 628 by 100 to get the correct answer, basically move the decimal 2 spots", "session_id": 4055, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "Oh, I see, but what the ending answer Stoy.", "session_id": 4055, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "5,652 inches.", "session_id": 4055, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "not quite, if you move it two places, you would get 56.52 :)", "session_id": 4055, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "great work with the label!!", "session_id": 4055, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "Well, when you move the", "session_id": 4055, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "decimal two spots", "session_id": 4055, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "from 6.28, then there would be no decimal.", "session_id": 4055, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "sorry, I might have confused you, when you got 5652, that is from multiplying 628*9 which is 100 times bigger than 6.28*9 so 5,652.0   move the decimal twice to get 56.52", "session_id": 4055, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "sorry if this is confusing by typing", "session_id": 4055, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "Oh, so it was twice forward, not backwards.", "session_id": 4055, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "Exactly!!!!", "session_id": 4055, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "you can think of it as dividing is making the number smaller", "session_id": 4055, "sequence_id": 47, "annotations": []}
{"role": "student", "content": "We can work on #2.", "session_id": 4055, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "Formula for area of a circle is pi times R", "session_id": 4055, "sequence_id": 49, "annotations": []}
{"role": "student", "content": "2", "session_id": 4055, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "ooo this is a good problem", "session_id": 4055, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "yes! great work with the formula", "session_id": 4055, "sequence_id": 52, "annotations": []}
{"role": "student", "content": "So we have to figure out the area based on the diameter.", "session_id": 4055, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "yes!!!", "session_id": 4055, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "remember that the formula for area usually requires the radius, so it will be helpful to quickly convert that", "session_id": 4055, "sequence_id": 55, "annotations": []}
{"role": "student", "content": "So we have to figure out the area first, for I meant the radius.", "session_id": 4055, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "yes! do you remember how to convert between them?", "session_id": 4055, "sequence_id": 57, "annotations": []}
{"role": "student", "content": "no i am sorry", "session_id": 4055, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "no worries, I'm going to try to find a good picture quick", "session_id": 4055, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "I think this helps see that the radius is 1/2 the diameter and the diameter is 2 times the radius", "session_id": 4055, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "r=d/2", "session_id": 4055, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "d=2r", "session_id": 4055, "sequence_id": 62, "annotations": []}
{"role": "student", "content": "yes", "session_id": 4055, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "Do you have any questions about getting the radius?", "session_id": 4055, "sequence_id": 64, "annotations": []}
{"role": "student", "content": "\ud83d\udc4d\ud83c\udffc", "session_id": 4055, "sequence_id": 65, "annotations": []}
{"role": "student", "content": "can you just go step by step with me", "session_id": 4055, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "Yeah, I can help get you started, I want to make sure you know what the steps are:)", "session_id": 4055, "sequence_id": 67, "annotations": []}
{"role": "student", "content": "So radius equals 4.", "session_id": 4055, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "yes!!!", "session_id": 4055, "sequence_id": 69, "annotations": []}
{"role": "student", "content": "and then 4 times 4 is 16, so the area 16.", "session_id": 4055, "sequence_id": 70, "annotations": []}
{"role": "student", "content": "Wait, but we'd still have to do something with pie, right?", "session_id": 4055, "sequence_id": 71, "annotations": []}
{"role": "student", "content": "16 times 3.14 is.", "session_id": 4055, "sequence_id": 72, "annotations": []}
{"role": "student", "content": "2178", "session_id": 4055, "sequence_id": 73, "annotations": []}
{"role": "student", "content": "c square.", "session_id": 4055, "sequence_id": 74, "annotations": []}
{"role": "volunteer", "content": "I think you might have made a mistake in that multiplication, we can work through it if you need", "session_id": 4055, "sequence_id": 75, "annotations": []}
{"role": "student", "content": "Yes, please. Thank you.", "session_id": 4055, "sequence_id": 76, "annotations": []}
{"role": "student", "content": "Oh, I forgot to put the 2 on top of the 1 and I was multiplying.", "session_id": 4055, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "so you understand it from here?", "session_id": 4055, "sequence_id": 78, "annotations": []}
{"role": "student", "content": "So the answer would then be 50.24 cm squared.", "session_id": 4055, "sequence_id": 79, "annotations": []}
{"role": "student", "content": "The weird thing about me is", "session_id": 4055, "sequence_id": 80, "annotations": []}
{"role": "student", "content": "it's kind of sad because my teachers won't be able to do this in the finals, but", "session_id": 4055, "sequence_id": 81, "annotations": []}
{"role": "student", "content": "my mind doesn't work like that because I feel like someone needs to lay it out for me and then I go on from there, but I need to learn how to do it all myself.", "session_id": 4055, "sequence_id": 82, "annotations": []}
{"role": "student", "content": "Can I do number 3 by myself.", "session_id": 4055, "sequence_id": 83, "annotations": []}
{"role": "student", "content": "and then when I'm done, maybe you could, we could go over it together and see what I did, write what I did wrong, what I didn't understand, and what I could do better on.", "session_id": 4055, "sequence_id": 84, "annotations": []}
{"role": "volunteer", "content": "yes, you will need to know for the final, but working through these problems is a great way of learning!", "session_id": 4055, "sequence_id": 85, "annotations": []}
{"role": "volunteer", "content": "Of course, that is a great idea", "session_id": 4055, "sequence_id": 86, "annotations": []}
{"role": "student", "content": "diameter is", "session_id": 4055, "sequence_id": 87, "annotations": []}
{"role": "student", "content": "I think it's", "session_id": 4055, "sequence_id": 88, "annotations": []}
{"role": "student", "content": "well, radius is half of that diameter", "session_id": 4055, "sequence_id": 89, "annotations": []}
{"role": "student", "content": "and diameter is", "session_id": 4055, "sequence_id": 90, "annotations": []}
{"role": "student", "content": "from the right side to the left side of the shape and radius is the middle of the shape to the right side of the shape.", "session_id": 4055, "sequence_id": 91, "annotations": []}
{"role": "volunteer", "content": "yesss!!! great work:)", "session_id": 4055, "sequence_id": 92, "annotations": []}
{"role": "student", "content": "Formula for trapezoid is base times height", "session_id": 4055, "sequence_id": 93, "annotations": []}
{"role": "student", "content": "um or base one plus base 2 times height.", "session_id": 4055, "sequence_id": 94, "annotations": []}
{"role": "volunteer", "content": "the only thing that I will add is that the radius does not have to be to the right of the circle, but it can be to any point", "session_id": 4055, "sequence_id": 95, "annotations": []}
{"role": "student", "content": "Oh, OK, thank you", "session_id": 4055, "sequence_id": 96, "annotations": []}
{"role": "student", "content": "Oh, I see. But", "session_id": 4055, "sequence_id": 97, "annotations": []}
{"role": "student", "content": "would it be the same thing like if there was point A and point.", "session_id": 4055, "sequence_id": 98, "annotations": []}
{"role": "student", "content": "D, and they were all the way across equally from the shape, would that then be the diameter", "session_id": 4055, "sequence_id": 99, "annotations": []}
{"role": "volunteer", "content": "yes, as long as it is all of the way across, like the furthest distance, I will try to draw it the best I can", "session_id": 4055, "sequence_id": 100, "annotations": []}
{"role": "volunteer", "content": "for example, the black line is diameter that goes through the center, while the red line is not because it does not pass through the center", "session_id": 4055, "sequence_id": 101, "annotations": []}
{"role": "volunteer", "content": "do you have any questions?", "session_id": 4055, "sequence_id": 102, "annotations": []}
{"role": "student", "content": "Oh, I see", "session_id": 4055, "sequence_id": 103, "annotations": []}
{"role": "student", "content": "I'm having a little trouble understanding the fourth question.", "session_id": 4055, "sequence_id": 104, "annotations": []}
{"role": "volunteer", "content": "ahh I see, that one can be a little tricky because of the way that it is worded.", "session_id": 4055, "sequence_id": 105, "annotations": []}
{"role": "volunteer", "content": "Drawing the picture will help, ill try to import a picture", "session_id": 4055, "sequence_id": 106, "annotations": []}
{"role": "student", "content": "Is the image in red a trapezoid?", "session_id": 4055, "sequence_id": 107, "annotations": []}
{"role": "volunteer", "content": "Yes!!", "session_id": 4055, "sequence_id": 108, "annotations": []}
{"role": "volunteer", "content": "I believe the definition is exactly one set of parallel lines", "session_id": 4055, "sequence_id": 109, "annotations": []}
{"role": "student", "content": "So what we do both of the bases, add them together, then multiply them by 3 because the the", "session_id": 4055, "sequence_id": 110, "annotations": []}
{"role": "student", "content": "the formula for a trapezoid is", "session_id": 4055, "sequence_id": 111, "annotations": []}
{"role": "student", "content": "base times height, but then you would do basic", "session_id": 4055, "sequence_id": 112, "annotations": []}
{"role": "student", "content": "plus base 2 times the height.", "session_id": 4055, "sequence_id": 113, "annotations": []}
{"role": "volunteer", "content": "I think that you were very close, but remember the strategy is to add the bases together and divide by 2", "session_id": 4055, "sequence_id": 114, "annotations": []}
{"role": "volunteer", "content": "it might be helpful to think of that as turning the shape into a rectangle of sorts", "session_id": 4055, "sequence_id": 115, "annotations": []}
{"role": "student", "content": "Why would we divide by 2.", "session_id": 4055, "sequence_id": 116, "annotations": []}
{"role": "student", "content": "Is it because there", "session_id": 4055, "sequence_id": 117, "annotations": []}
{"role": "student", "content": "bases", "session_id": 4055, "sequence_id": 118, "annotations": []}
{"role": "student", "content": "two bases.", "session_id": 4055, "sequence_id": 119, "annotations": []}
{"role": "volunteer", "content": "so if you look at just the part that I put into parentheses, what it is essentially doing is making the bases the same length so that we can use the A=b*h formula. Sorry if this is confusing to read", "session_id": 4055, "sequence_id": 120, "annotations": []}
{"role": "student", "content": "What do you mean make the two bases the same? Like how would we do that?", "session_id": 4055, "sequence_id": 121, "annotations": []}
{"role": "student", "content": "They're different numbers. They can both be divided by 2, but how would that make them the same number.", "session_id": 4055, "sequence_id": 122, "annotations": []}
{"role": "volunteer", "content": "my picture of it is very bad, but adding and dividing by two gives an average length of the sides, so you can think of it as taking the extra from the bottom and transforming it to the top that turns it into a parallellagram", "session_id": 4055, "sequence_id": 123, "annotations": []}
{"role": "student", "content": "So we're taking 2 from 6", "session_id": 4055, "sequence_id": 124, "annotations": []}
{"role": "student", "content": "wait", "session_id": 4055, "sequence_id": 125, "annotations": []}
{"role": "student", "content": "I'm so sorry. I don't really understand.", "session_id": 4055, "sequence_id": 126, "annotations": []}
{"role": "volunteer", "content": "okay, don't worry!!!!", "session_id": 4055, "sequence_id": 127, "annotations": []}
{"role": "volunteer", "content": "lets try a different strategy that might make it make more sense", "session_id": 4055, "sequence_id": 128, "annotations": []}
{"role": "student", "content": "ok", "session_id": 4055, "sequence_id": 129, "annotations": []}
{"role": "volunteer", "content": "we normally think of a trapezoid like the one in the red, but we can also write it like the teal version, and think of it as a rectangle and a square", "session_id": 4055, "sequence_id": 130, "annotations": []}
{"role": "student", "content": "xfcxfxxxxxxxxx", "session_id": 4055, "sequence_id": 131, "annotations": []}
{"role": "student", "content": "Oh, sorry, I did not mean to do that.", "session_id": 4055, "sequence_id": 132, "annotations": []}
{"role": "volunteer", "content": "sorry rectangle and triangle", "session_id": 4055, "sequence_id": 133, "annotations": []}
{"role": "volunteer", "content": "are you familiar with area of rectangles and triangles?", "session_id": 4055, "sequence_id": 134, "annotations": []}
{"role": "student", "content": "Yes, area of triangle is base times height divided by 2, and area of rectangle is the length times width.", "session_id": 4055, "sequence_id": 135, "annotations": []}
{"role": "volunteer", "content": "PERFECT!!!!!!!", "session_id": 4055, "sequence_id": 136, "annotations": []}
{"role": "volunteer", "content": "Does my diagram make sense, or would you like me to explain it further?", "session_id": 4055, "sequence_id": 137, "annotations": []}
{"role": "student", "content": "How did you get the 2?", "session_id": 4055, "sequence_id": 138, "annotations": []}
{"role": "volunteer", "content": "on the left, we know that the whole base is equal to six, and the top base is equal to 4. So when we turn it into a rectangle, we know that side must equal 4 (because it needs to be equal to its opposite side) and the remaining length is 2", "session_id": 4055, "sequence_id": 139, "annotations": []}
{"role": "student", "content": "Oh, so you split it up", "session_id": 4055, "sequence_id": 140, "annotations": []}
{"role": "volunteer", "content": "yes!!! that way we can find the area of the rectangle and the triangle, and then we can add them together", "session_id": 4055, "sequence_id": 141, "annotations": []}
{"role": "student", "content": "Um, if we were to do, um, 3 times 2 divided by", "session_id": 4055, "sequence_id": 142, "annotations": []}
{"role": "student", "content": "2, it would just go back to 3. So with the triangle be 3?", "session_id": 4055, "sequence_id": 143, "annotations": []}
{"role": "volunteer", "content": "yes!!!!!", "session_id": 4055, "sequence_id": 144, "annotations": []}
{"role": "student", "content": "And then for the rectangle, the formula is length times width, so", "session_id": 4055, "sequence_id": 145, "annotations": []}
{"role": "student", "content": "would we just do 3 times", "session_id": 4055, "sequence_id": 146, "annotations": []}
{"role": "student", "content": "which is 12", "session_id": 4055, "sequence_id": 147, "annotations": []}
{"role": "volunteer", "content": "perfect :)", "session_id": 4055, "sequence_id": 148, "annotations": []}
{"role": "volunteer", "content": "and then dont forget to add them together!", "session_id": 4055, "sequence_id": 149, "annotations": []}
{"role": "student", "content": "3 + 12 is 15.", "session_id": 4055, "sequence_id": 150, "annotations": []}
{"role": "student", "content": "If the question, question 4 doesn't give a unit, um, so", "session_id": 4055, "sequence_id": 151, "annotations": []}
{"role": "volunteer", "content": "Great work!!!", "session_id": 4055, "sequence_id": 152, "annotations": []}
{"role": "student", "content": "and if it's area, then I would put unit squared, but I don't know what the unit is", "session_id": 4055, "sequence_id": 153, "annotations": []}
{"role": "student", "content": "to me if I'm wrong, I don't see any unit.", "session_id": 4055, "sequence_id": 154, "annotations": []}
{"role": "volunteer", "content": "that usually depends on the teacher, my teachers always wanted me to just put units squared in that case", "session_id": 4055, "sequence_id": 155, "annotations": []}
{"role": "student", "content": "OK, thank you", "session_id": 4055, "sequence_id": 156, "annotations": []}
{"role": "student", "content": "Number 5", "session_id": 4055, "sequence_id": 157, "annotations": []}
{"role": "student", "content": "This one looks pretty difficult.", "session_id": 4055, "sequence_id": 158, "annotations": []}
{"role": "student", "content": "in my opinion", "session_id": 4055, "sequence_id": 159, "annotations": []}
{"role": "student", "content": "Oh, and there's two parts.", "session_id": 4055, "sequence_id": 160, "annotations": []}
{"role": "student", "content": "So in this case, would the scale be diameter or radius?", "session_id": 4055, "sequence_id": 161, "annotations": []}
{"role": "volunteer", "content": "yes, I think that part a will actually help us with part b", "session_id": 4055, "sequence_id": 162, "annotations": []}
{"role": "volunteer", "content": "this is separate from radius and diameter though", "session_id": 4055, "sequence_id": 163, "annotations": []}
{"role": "student", "content": "Oh", "session_id": 4055, "sequence_id": 164, "annotations": []}
{"role": "student", "content": "So what it means scale, it's kind of confusing to me because I don't know what formula to use, so, and that's where we start with, and that's what's confusing to me like what formula do I use because I don't really have", "session_id": 4055, "sequence_id": 165, "annotations": []}
{"role": "student", "content": "like the information that I would use, like find the radius or find the diameter or the circumference.", "session_id": 4055, "sequence_id": 166, "annotations": []}
{"role": "volunteer", "content": "this one doesnt really start with a formula, it is a way of using a ratio to find distance", "session_id": 4055, "sequence_id": 167, "annotations": []}
{"role": "volunteer", "content": "so its saying that one inch on the map is 45 miles in real life", "session_id": 4055, "sequence_id": 168, "annotations": []}
{"role": "student", "content": "Isn't a ratio just like a fraction.", "session_id": 4055, "sequence_id": 169, "annotations": []}
{"role": "volunteer", "content": "yes!!!! that is the best way to solve them is to write it as a fraction", "session_id": 4055, "sequence_id": 170, "annotations": []}
{"role": "student", "content": "So underlined and red would be 145th of a mile.", "session_id": 4055, "sequence_id": 171, "annotations": []}
{"role": "student", "content": "45/1ths or 1/45ths", "session_id": 4055, "sequence_id": 172, "annotations": []}
{"role": "volunteer", "content": "oh, I see what you are asking", "session_id": 4055, "sequence_id": 173, "annotations": []}
{"role": "volunteer", "content": "the ratio itself would be written as 1/45", "session_id": 4055, "sequence_id": 174, "annotations": []}
{"role": "student", "content": "And the 5.5 would not be a ratio, right?", "session_id": 4055, "sequence_id": 175, "annotations": []}
{"role": "student", "content": "But that can also be the confusing part for me, like there's one that's not a ratio and one that is a ratio slash.", "session_id": 4055, "sequence_id": 176, "annotations": []}
{"role": "student", "content": "um fraction.", "session_id": 4055, "sequence_id": 177, "annotations": []}
{"role": "volunteer", "content": "nope, 5.5 is used for part b have you used ratio tables yet?", "session_id": 4055, "sequence_id": 178, "annotations": []}
{"role": "student", "content": "I don't think I'm familiar about ratio tables. Can you show me to refamiliarize myself if I or we have seen it before.", "session_id": 4055, "sequence_id": 179, "annotations": []}
{"role": "volunteer", "content": "yes, it is just like using fractions, and its really the only way I know how to teach this unfortunately", "session_id": 4055, "sequence_id": 180, "annotations": []}
{"role": "volunteer", "content": "Im happy to walk you through this one!", "session_id": 4055, "sequence_id": 181, "annotations": []}
{"role": "student", "content": "Thank you", "session_id": 4055, "sequence_id": 182, "annotations": []}
{"role": "volunteer", "content": "Okay, I did this upside down, but it doesn't really matter in the end. Using the ratio table, it is all multiplication of fractions left to right, but it is really useful to to be able to cross out the labels to make sure that we are doing it correctly", "session_id": 4055, "sequence_id": 183, "annotations": []}
{"role": "student", "content": "What numbers did you multiply cause I'm pretty sure 45 times 5.5 is.", "session_id": 4055, "sequence_id": 184, "annotations": []}
{"role": "student", "content": "50.5", "session_id": 4055, "sequence_id": 185, "annotations": []}
{"role": "volunteer", "content": "you are correct, it is multiplying 45 and 5.5, but I think you made a mistake in the multiplication. Sorry, I just used my calculator", "session_id": 4055, "sequence_id": 186, "annotations": []}
{"role": "student", "content": "Oh, I actually did aition instead of multiplication.", "session_id": 4055, "sequence_id": 187, "annotations": []}
{"role": "volunteer", "content": "ahh no worries, just remember that ratio tables always use multiplication", "session_id": 4055, "sequence_id": 188, "annotations": []}
{"role": "student", "content": "it is 247.5 iam so sorry", "session_id": 4055, "sequence_id": 189, "annotations": []}
{"role": "volunteer", "content": "no worries :)", "session_id": 4055, "sequence_id": 190, "annotations": []}
{"role": "student", "content": "So does the end answer of Part A equal", "session_id": 4055, "sequence_id": 191, "annotations": []}
{"role": "student", "content": "247.5.", "session_id": 4055, "sequence_id": 192, "annotations": []}
{"role": "student", "content": "miles", "session_id": 4055, "sequence_id": 193, "annotations": []}
{"role": "volunteer", "content": "yes!! we can tell because the inches crossed out (because they were divided by themselves) and miles was the label that was left", "session_id": 4055, "sequence_id": 194, "annotations": []}
{"role": "volunteer", "content": "knowing how this works, do you know the answer to part a", "session_id": 4055, "sequence_id": 195, "annotations": []}
{"role": "student", "content": "I'm sorry, but I don't really understand what", "session_id": 4055, "sequence_id": 196, "annotations": []}
{"role": "student", "content": "you just said. Can you rephrase it in a different way? I'm sorry.", "session_id": 4055, "sequence_id": 197, "annotations": []}
{"role": "student", "content": "Oh, and so they total answer would not be 24, 7.5 miles.", "session_id": 4055, "sequence_id": 198, "annotations": []}
{"role": "volunteer", "content": "no worries! thanks for letting me know", "session_id": 4055, "sequence_id": 199, "annotations": []}
{"role": "volunteer", "content": "the answer is 247.5 so in this case it is like dividing inches/inches so like any other number, when you divide by itself you get 1", "session_id": 4055, "sequence_id": 200, "annotations": []}
{"role": "student", "content": "I am so sorry. I just accidentally deleted the picture, reloaded it, so nothing on there was", "session_id": 4055, "sequence_id": 201, "annotations": []}
{"role": "student", "content": "well, I think before that was on there is now on there, but I have it on my paper. So", "session_id": 4055, "sequence_id": 202, "annotations": []}
{"role": "student", "content": "yeah, but we're on part of the problem.", "session_id": 4055, "sequence_id": 203, "annotations": []}
{"role": "volunteer", "content": "okay thats good!", "session_id": 4055, "sequence_id": 204, "annotations": []}
{"role": "student", "content": "Sorry, I meant, can we work on part B now.", "session_id": 4055, "sequence_id": 205, "annotations": []}
{"role": "volunteer", "content": "oh sorry, the ratio table and the 247.5 answer was for part b", "session_id": 4055, "sequence_id": 206, "annotations": []}
{"role": "student", "content": "So then what would the", "session_id": 4055, "sequence_id": 207, "annotations": []}
{"role": "student", "content": "answer for part AB because I don't think I caught that.", "session_id": 4055, "sequence_id": 208, "annotations": []}
{"role": "volunteer", "content": "part a is a written response, just analyzing what 1inch:45miles means", "session_id": 4055, "sequence_id": 209, "annotations": []}
{"role": "student", "content": "So I would just say it means", "session_id": 4055, "sequence_id": 210, "annotations": []}
{"role": "student", "content": "um", "session_id": 4055, "sequence_id": 211, "annotations": []}
{"role": "volunteer", "content": "do you understand? It is hard for me to say more without giving the answer", "session_id": 4055, "sequence_id": 212, "annotations": []}
{"role": "student", "content": "1 45th.", "session_id": 4055, "sequence_id": 213, "annotations": []}
{"role": "volunteer", "content": "kind of!! that is another way or writing it.", "session_id": 4055, "sequence_id": 214, "annotations": []}
{"role": "volunteer", "content": "I think of it as meaning that one inch on the map means 45 miles in real life", "session_id": 4055, "sequence_id": 215, "annotations": []}
{"role": "student", "content": "Oh, I see. Well, that's all for my first page, um, I really appreciate all your help", "session_id": 4055, "sequence_id": 216, "annotations": []}
{"role": "student", "content": "to, yeah, all your help with me and", "session_id": 4055, "sequence_id": 217, "annotations": []}
{"role": "student", "content": "you really pushed me to", "session_id": 4055, "sequence_id": 218, "annotations": []}
{"role": "student", "content": "learn more things and understand what I didn't understand before. Thank you so much.", "session_id": 4055, "sequence_id": 219, "annotations": []}
{"role": "volunteer", "content": "No problem, good luck on the final!! you got this!!", "session_id": 4055, "sequence_id": 220, "annotations": []}
{"role": "volunteer", "content": "Hellooo", "session_id": 8233, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "hiiiii", "session_id": 8233, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "What do you need help with today?", "session_id": 8233, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "I need help with my math homework", "session_id": 8233, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "Okayyy, do you have any examples ?", "session_id": 8233, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "would you like me to put it up on the bored?", "session_id": 8233, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "yeah of course", "session_id": 8233, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "can you see it?", "session_id": 8233, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "yup", "session_id": 8233, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "alright what do you think your first step would be for number 7?", "session_id": 8233, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "or a guess anything is fine", "session_id": 8233, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "[ don't the steps may we start from scratch", "session_id": 8233, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "yeah of course no problem", "session_id": 8233, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "okay ty", "session_id": 8233, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "so for 7 , you would 430/500", "session_id": 8233, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "think about 500 being 100% and the part inside that percentage", "session_id": 8233, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "430/500 will be the answer", "session_id": 8233, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "does that make sense?", "session_id": 8233, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "a little yeah", "session_id": 8233, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "if you want i can go more into depth", "session_id": 8233, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "yes pls", "session_id": 8233, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "alright so ima make a drawing of this", "session_id": 8233, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "okay", "session_id": 8233, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "alright so the whole circle 500 voters", "session_id": 8233, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "imagine we take a big slice of it", "session_id": 8233, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "that slice being 430 voters", "session_id": 8233, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "and we want to figure out how what is the percentage we took out", "session_id": 8233, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "okay", "session_id": 8233, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "a percentage is a same thing as fraction. we can relate this chart to a simpler chart like this one:", "session_id": 8233, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "okay", "session_id": 8233, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "so notice that we have 3 slices colored out of the 4 slices", "session_id": 8233, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "which represents the fraction 3/4", "session_id": 8233, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "its the same thing for our other chart", "session_id": 8233, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "i dont see your drawing", "session_id": 8233, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "scroll down", "session_id": 8233, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "sorry", "session_id": 8233, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "now you see it?", "session_id": 8233, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "no", "session_id": 8233, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "okay im going to try just explaining in text then", "session_id": 8233, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "ok", "session_id": 8233, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "okay how about this do you see my image?", "session_id": 8233, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "no", "session_id": 8233, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "alright then, well what im trying to describe is the reason we 430/500 voters is because a fraction is the same as percentage", "session_id": 8233, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "you know how 50/100 is 50%", "session_id": 8233, "sequence_id": 43, "annotations": []}
{"role": "student", "content": "yes", "session_id": 8233, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "or 30/100 is 30%", "session_id": 8233, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "yes", "session_id": 8233, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "same applies 430/500, you plug it into a calculator it is 86%", "session_id": 8233, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "does that make more sense?", "session_id": 8233, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "yes", "session_id": 8233, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "alright ready for the next one?", "session_id": 8233, "sequence_id": 50, "annotations": []}
{"role": "student", "content": "yes", "session_id": 8233, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "this time ima try to focus more on how they did it on the paper", "session_id": 8233, "sequence_id": 52, "annotations": []}
{"role": "student", "content": "ok", "session_id": 8233, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "what number would be the \"part\"?", "session_id": 8233, "sequence_id": 54, "annotations": []}
{"role": "student", "content": "5%", "session_id": 8233, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "close that would be the percentage", "session_id": 8233, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "since it has a percent sign next to it", "session_id": 8233, "sequence_id": 57, "annotations": []}
{"role": "student", "content": "so 40", "session_id": 8233, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "yup yup", "session_id": 8233, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "because 40 is \"part\" of the whole", "session_id": 8233, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "so now you have 40=5% times \"whole", "session_id": 8233, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "40=5%*whole", "session_id": 8233, "sequence_id": 62, "annotations": []}
{"role": "student", "content": "okay can you explain that part", "session_id": 8233, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "like how i got that or how to solve it", "session_id": 8233, "sequence_id": 64, "annotations": []}
{"role": "student", "content": "oh nvm i get it", "session_id": 8233, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "okok", "session_id": 8233, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "so what do i need to do to get the whole? we have 40=5%*whole and want whole by itself, so how can i get rid of that 5% next to \"whole\"?", "session_id": 8233, "sequence_id": 67, "annotations": []}
{"role": "student", "content": "can you explain?", "session_id": 8233, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "of course\ud83d\ude4f, so when we have number multplied by a variable in this case \"whole\" we do the opposite of multiplication which is?", "session_id": 8233, "sequence_id": 69, "annotations": []}
{"role": "student", "content": "division", "session_id": 8233, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "yuppp, and in an equation we do it on both sides of it so our left side is part, and our right side is 5%*\"whole\". The reason we are dividing is because we dont want 5% next to \"whole\"", "session_id": 8233, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "so now that we know to divide", "session_id": 8233, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "what do i divide the equation by?hint is the number next to whole", "session_id": 8233, "sequence_id": 73, "annotations": []}
{"role": "student", "content": "5%", "session_id": 8233, "sequence_id": 74, "annotations": []}
{"role": "volunteer", "content": "yupp, this is the cool part, the 5% next to \"whole\" will just cancel out because 5%/5% equals 1", "session_id": 8233, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "so now we have 5%*part=whole", "session_id": 8233, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "oh wait sorry", "session_id": 8233, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "part/5%=whole", "session_id": 8233, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "r equals whole by the way i just noted that from the homework problem", "session_id": 8233, "sequence_id": 79, "annotations": []}
{"role": "student", "content": "oh okay you reedy to do the next one", "session_id": 8233, "sequence_id": 80, "annotations": []}
{"role": "volunteer", "content": "yupp", "session_id": 8233, "sequence_id": 81, "annotations": []}
{"role": "student", "content": "okay can you see it", "session_id": 8233, "sequence_id": 82, "annotations": []}
{"role": "volunteer", "content": "yup", "session_id": 8233, "sequence_id": 83, "annotations": []}
{"role": "volunteer", "content": "problem number 9 is pretty similar to number 7, you want to try to do that one?", "session_id": 8233, "sequence_id": 84, "annotations": []}
{"role": "student", "content": "yeah but can you help me", "session_id": 8233, "sequence_id": 85, "annotations": []}
{"role": "volunteer", "content": "of course just shoot me a question if you get stuck", "session_id": 8233, "sequence_id": 86, "annotations": []}
{"role": "student", "content": "ok", "session_id": 8233, "sequence_id": 87, "annotations": []}
{"role": "volunteer", "content": "Hello?", "session_id": 8233, "sequence_id": 88, "annotations": []}
{"role": "student", "content": "sorry ive got the rest of it thank you for the help have a good night", "session_id": 8233, "sequence_id": 89, "annotations": []}
{"role": "volunteer", "content": "Oh its okay of course, good night!", "session_id": 8233, "sequence_id": 90, "annotations": []}
{"role": "volunteer", "content": "Hi Alex, I'm Ben how can I help?", "session_id": 2822, "sequence_id": 0, "annotations": [{"pii_type": "PERSON", "surrogate": "Alex", "start": 3, "end": 7}, {"pii_type": "PERSON", "surrogate": "Ben", "start": 13, "end": 16}]}
{"role": "student", "content": "Hello, I am currently doing some SAT review questions and was wondering if you would be able to check/let me know whether I am doing correctly or not.", "session_id": 2822, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "Sounds good, I see you've solved 14", "session_id": 2822, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "Correct.", "session_id": 2822, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "Yep, looks good", "session_id": 2822, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "and now you're working on 17?", "session_id": 2822, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "Yes,", "session_id": 2822, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "Yep, nice job sticking with it!", "session_id": 2822, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "Not quite", "session_id": 2822, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "DE and GH gives us SSA", "session_id": 2822, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "which does not prove congruence", "session_id": 2822, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "or similarity", "session_id": 2822, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "similarity needs SAS, or AA", "session_id": 2822, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "Ben, so for similarity, we need either: AA, SSS, or SAS", "session_id": 2822, "sequence_id": 13, "annotations": [{"pii_type": "PERSON", "surrogate": "Ben", "start": 0, "end": 3}]}
{"role": "volunteer", "content": "oh yeah SSS too", "session_id": 2822, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "OK, let me redo this", "session_id": 2822, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "it might help to make the triangles a little bigger to see the angles", "session_id": 2822, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "Yep!", "session_id": 2822, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "I didn't check the calculator portion but the algebra is right", "session_id": 2822, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "and if a is 12.25 that part is right", "session_id": 2822, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "Correct!!", "session_id": 2822, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "Yep 12.25 is right!", "session_id": 2822, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "Do you have any other problems or is that all?", "session_id": 2822, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "Just to confirm: \nFor proving similarity, it could be through~ AA(A), SAS, or SSS. \nFor proving congruence, it could be through~ SAS, SSS, AAS, or ASA. Correct?", "session_id": 2822, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "Yep!", "session_id": 2822, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "OK", "session_id": 2822, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "wait what are you doing now?", "session_id": 2822, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "you found it", "session_id": 2822, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "What do you mean?", "session_id": 2822, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "it's asking for the height", "session_id": 2822, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "what are you calculating now?", "session_id": 2822, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "Okay, oops, I had calculated the area", "session_id": 2822, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "Yeah lol all good", "session_id": 2822, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "doing a little extra", "session_id": 2822, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "this is a fun problem", "session_id": 2822, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "Yep!", "session_id": 2822, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "Nice", "session_id": 2822, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "That one was a little simpler", "session_id": 2822, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 2822, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "how did you find B was 20 degrees?", "session_id": 2822, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "oh wait", "session_id": 2822, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "isosceles", "session_id": 2822, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "super good", "session_id": 2822, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 2822, "sequence_id": 43, "annotations": []}
{"role": "student", "content": "because the two sides are congruent, the opposite angles must be the same", "session_id": 2822, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "Yeah did you do that in your head?", "session_id": 2822, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "Yep", "session_id": 2822, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "Want a tip for this one?", "session_id": 2822, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "Nevermind lol", "session_id": 2822, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "you got it", "session_id": 2822, "sequence_id": 49, "annotations": []}
{"role": "student", "content": "OK, let me skip number 5", "session_id": 2822, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "yeah this one is just pythagorean", "session_id": 2822, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "I didn't do the calculator stuff but I trust that's right", "session_id": 2822, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "Yep!", "session_id": 2822, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "Not quite", "session_id": 2822, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "what if x was 1", "session_id": 2822, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "oh wait are you crossing out or underlining d", "session_id": 2822, "sequence_id": 56, "annotations": []}
{"role": "student", "content": "I am canceling out D", "session_id": 2822, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "nvm", "session_id": 2822, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "keep going mb", "session_id": 2822, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "Yep", "session_id": 2822, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "I think you're overthinking this one a little bit", "session_id": 2822, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "Yeah that's how i would do it", "session_id": 2822, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "Yep!", "session_id": 2822, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "I'm sorry I have to go after this one", "session_id": 2822, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "Good luck on the SAT :)", "session_id": 2822, "sequence_id": 65, "annotations": []}
{"role": "student", "content": "Sure,", "session_id": 2822, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "Perfect!", "session_id": 2822, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "See you, feel free to make another session with a different tutor", "session_id": 2822, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "Bye!", "session_id": 2822, "sequence_id": 69, "annotations": []}
{"role": "student", "content": "hi", "session_id": 3333, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "Hi Ben! How are you today?", "session_id": 3333, "sequence_id": 1, "annotations": [{"pii_type": "PERSON", "surrogate": "Ben", "start": 3, "end": 6}]}
{"role": "student", "content": "Oh I'm great", "session_id": 3333, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "And you", "session_id": 3333, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "I'm doing good! :)", "session_id": 3333, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "Shall we get started?", "session_id": 3333, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "Can I write some problems on the board", "session_id": 3333, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "Yes! Of course", "session_id": 3333, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "oki", "session_id": 3333, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "OK This is what I'm working on in class right now", "session_id": 3333, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "Okay :)!", "session_id": 3333, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "Is there anything in this problem that you can do on your own? It's okay if you don't!", "session_id": 3333, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "I think so", "session_id": 3333, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "I can try and solve it and you correct me in my errors", "session_id": 3333, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "Mhm! Of course :D", "session_id": 3333, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "done", "session_id": 3333, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "i will brb", "session_id": 3333, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "Okay! So far you did very well! Specifically on the exponents and the addition! One thing that got you that led to the wrong answer would be the division in the parentheses; would you like me to help you on that?", "session_id": 3333, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "Okay!", "session_id": 3333, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 3333, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "Okay!", "session_id": 3333, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "Looking at your work I'm happy to see that you know PEMDAS :D", "session_id": 3333, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "But on the second step, labeled G, the first step to solving this problem is P for parentheses.", "session_id": 3333, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "i do'", "session_id": 3333, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "Hehe I'm happy :D", "session_id": 3333, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "My teacher calls it gems because parentheses is basically groupings", "session_id": 3333, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "Oh okay! I like that term for parentheses :o", "session_id": 3333, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "Okay! so working on the grouping, inside it says 3 divided by 7", "session_id": 3333, "sequence_id": 27, "annotations": []}
{"role": "student", "content": ":)", "session_id": 3333, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "right", "session_id": 3333, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "When dividing number where the second number can't fit into the other number in a whole number it's best to write it as a fraction!", "session_id": 3333, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "I didn't know that", "session_id": 3333, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "I will write it on the side for you!", "session_id": 3333, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "Hehe, It's okay! I'm glad to be teaching you it now since division is difficult!", "session_id": 3333, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "It really is", "session_id": 3333, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "Let me write it on the bottom actually!", "session_id": 3333, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "OK", "session_id": 3333, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "Yes :(", "session_id": 3333, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "Like that!", "session_id": 3333, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "First number is the numerator, second number is the denominator!", "session_id": 3333, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "OK I got that doesn't seem too complicated", "session_id": 3333, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "Yay!! :DD", "session_id": 3333, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "Okay! now that you know that, should we try the problem again?", "session_id": 3333, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "hm, How about a different one if that is OK with you", "session_id": 3333, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "Yes! Okay!", "session_id": 3333, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "How is this", "session_id": 3333, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "Similar to last time you made a tiny mistake on the grouping part, 3 divided by 6 should be 3/6! However, after that all of your work besides the mistake, you followed the PEMDAS method perfectly :D!!", "session_id": 3333, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "Do you want to help you on the parentheses part?", "session_id": 3333, "sequence_id": 47, "annotations": []}
{"role": "student", "content": "Yippee!!!", "session_id": 3333, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "Yay yay!!b:DD", "session_id": 3333, "sequence_id": 49, "annotations": []}
{"role": "student", "content": "OK to you I don't understand how to like add The Fraction entered a problem because I don't know how to add it in with the other stuff", "session_id": 3333, "sequence_id": 50, "annotations": []}
{"role": "student", "content": "You know what I'm saying", "session_id": 3333, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "As in write the fraction in the equation?", "session_id": 3333, "sequence_id": 52, "annotations": []}
{"role": "student", "content": "No I understand how to do that I mean like how do I add it with the other stuff like add it to the problem", "session_id": 3333, "sequence_id": 53, "annotations": []}
{"role": "student", "content": "mix it in with the other equations", "session_id": 3333, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "Oh yes! I can help you with that!", "session_id": 3333, "sequence_id": 55, "annotations": []}
{"role": "student", "content": "OK", "session_id": 3333, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "If you have a calculator with you, we can simply turn the fraction into a decimal form!", "session_id": 3333, "sequence_id": 57, "annotations": []}
{"role": "student", "content": "I have one in my dresser I'll look at it see if it's not dead", "session_id": 3333, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "Okay!", "session_id": 3333, "sequence_id": 59, "annotations": []}
{"role": "student", "content": "It's it's solar powered so it's kind of dead", "session_id": 3333, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "If you calculator can't do it, I will teach you a different way then!", "session_id": 3333, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "Awe! It's okay!", "session_id": 3333, "sequence_id": 62, "annotations": []}
{"role": "student", "content": "Let me see I have one on my phone", "session_id": 3333, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "Okay!", "session_id": 3333, "sequence_id": 64, "annotations": []}
{"role": "student", "content": "OK so how do I turn it into decimal on the calculator", "session_id": 3333, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "Okay so in the problem we just did, input 3 divided by 6!", "session_id": 3333, "sequence_id": 66, "annotations": []}
{"role": "student", "content": "It's one half", "session_id": 3333, "sequence_id": 67, "annotations": []}
{"role": "student", "content": "or 0.5", "session_id": 3333, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "Okay! Great!", "session_id": 3333, "sequence_id": 69, "annotations": []}
{"role": "student", "content": "By the way how long has this session been", "session_id": 3333, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "So instead of writing it as a fraction make it 0.5!", "session_id": 3333, "sequence_id": 71, "annotations": []}
{"role": "student", "content": "Sorry I know it's off topic", "session_id": 3333, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "It's okay don't worry!", "session_id": 3333, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "We started around 7:19!", "session_id": 3333, "sequence_id": 74, "annotations": []}
{"role": "student", "content": "You Geometry 201", "session_id": 3333, "sequence_id": 75, "annotations": [{"pii_type": "COURSE", "surrogate": "Geometry 201", "start": 4, "end": 16}]}
{"role": "student", "content": "So it's almost been an hour", "session_id": 3333, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "Oh yes!", "session_id": 3333, "sequence_id": 77, "annotations": []}
{"role": "student", "content": "oki lets continue this lesson'", "session_id": 3333, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "Okay! So, whenever you see fraction thing try and see if you can put it into decimal format!", "session_id": 3333, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "Yes!", "session_id": 3333, "sequence_id": 80, "annotations": []}
{"role": "volunteer", "content": "However sometimes the decimal format might be very long, so would you like me to teach you what to do if that happens?", "session_id": 3333, "sequence_id": 81, "annotations": []}
{"role": "volunteer", "content": "It's okay if you don't want too! :D", "session_id": 3333, "sequence_id": 82, "annotations": []}
{"role": "student", "content": "Yeah I'm up for anything as long as I get my math grades up", "session_id": 3333, "sequence_id": 83, "annotations": []}
{"role": "volunteer", "content": "Okay!", "session_id": 3333, "sequence_id": 84, "annotations": []}
{"role": "volunteer", "content": "Let me select a part from one of your problems!", "session_id": 3333, "sequence_id": 85, "annotations": []}
{"role": "student", "content": "okay", "session_id": 3333, "sequence_id": 86, "annotations": []}
{"role": "volunteer", "content": "I wrote it on the bottom and added a 2 if that's okay!", "session_id": 3333, "sequence_id": 87, "annotations": []}
{"role": "student", "content": "Yeah that's OK", "session_id": 3333, "sequence_id": 88, "annotations": []}
{"role": "volunteer", "content": "Okay!", "session_id": 3333, "sequence_id": 89, "annotations": []}
{"role": "volunteer", "content": "Firstly, we will start with the grouping!", "session_id": 3333, "sequence_id": 90, "annotations": []}
{"role": "student", "content": "okay", "session_id": 3333, "sequence_id": 91, "annotations": []}
{"role": "volunteer", "content": "Okay! to add the 2 with the 3/7 we want to make 2 to be in similar terms of 3/7. What I mean by this is to get 2 to have a denominator of 2!", "session_id": 3333, "sequence_id": 92, "annotations": []}
{"role": "student", "content": "ok", "session_id": 3333, "sequence_id": 93, "annotations": []}
{"role": "volunteer", "content": "I will write it on the top since there isn't space!", "session_id": 3333, "sequence_id": 94, "annotations": []}
{"role": "student", "content": "okii", "session_id": 3333, "sequence_id": 95, "annotations": []}
{"role": "volunteer", "content": "Okay! If you look up, I wrote the 2!", "session_id": 3333, "sequence_id": 96, "annotations": []}
{"role": "volunteer", "content": "In math, below the 2 there is always an invisible /1 below it!", "session_id": 3333, "sequence_id": 97, "annotations": []}
{"role": "volunteer", "content": "I will write this in pink!", "session_id": 3333, "sequence_id": 98, "annotations": []}
{"role": "student", "content": "oh yay", "session_id": 3333, "sequence_id": 99, "annotations": []}
{"role": "student", "content": "okay", "session_id": 3333, "sequence_id": 100, "annotations": []}
{"role": "volunteer", "content": "Okay, now that we have that we need to get to 7, we know that 1 times 7 will get us 7 :D!", "session_id": 3333, "sequence_id": 101, "annotations": []}
{"role": "student", "content": "oh yay :D", "session_id": 3333, "sequence_id": 102, "annotations": []}
{"role": "student", "content": "That makes a lot more sense", "session_id": 3333, "sequence_id": 103, "annotations": []}
{"role": "volunteer", "content": "Yes! I will write what I do in teal!", "session_id": 3333, "sequence_id": 104, "annotations": []}
{"role": "volunteer", "content": "Yes, okay! :DDD!!", "session_id": 3333, "sequence_id": 105, "annotations": []}
{"role": "student", "content": "OK look I'm really sorry I have to go though", "session_id": 3333, "sequence_id": 106, "annotations": []}
{"role": "student", "content": "for dinner", "session_id": 3333, "sequence_id": 107, "annotations": []}
{"role": "volunteer", "content": "It's okay don't worry!", "session_id": 3333, "sequence_id": 108, "annotations": []}
{"role": "volunteer", "content": "Please enjoy dinner!", "session_id": 3333, "sequence_id": 109, "annotations": []}
{"role": "student", "content": "I appreciate and thank you for helping me today", "session_id": 3333, "sequence_id": 110, "annotations": []}
{"role": "student", "content": "Have a good night", "session_id": 3333, "sequence_id": 111, "annotations": []}
{"role": "volunteer", "content": "You're so very welcome!", "session_id": 3333, "sequence_id": 112, "annotations": []}
{"role": "volunteer", "content": "Thank you hehe!", "session_id": 3333, "sequence_id": 113, "annotations": []}
{"role": "volunteer", "content": "Great work :DD", "session_id": 3333, "sequence_id": 114, "annotations": []}
{"role": "student", "content": "OK bye bye", "session_id": 3333, "sequence_id": 115, "annotations": []}
{"role": "volunteer", "content": "Bye bye!!", "session_id": 3333, "sequence_id": 116, "annotations": []}
{"role": "volunteer", "content": "To finish off, with the 14/7 use that and add that with 3/7.", "session_id": 3333, "sequence_id": 117, "annotations": []}
{"role": "volunteer", "content": "14/7 plus 3/7 is equal to 17/7", "session_id": 3333, "sequence_id": 118, "annotations": []}
{"role": "volunteer", "content": "Keep denominators, add numerators!", "session_id": 3333, "sequence_id": 119, "annotations": []}
{"role": "volunteer", "content": "Hello, what can I help you with today?", "session_id": 3592, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "Good afternoon Elara", "session_id": 3592, "sequence_id": 1, "annotations": [{"pii_type": "PERSON", "surrogate": "Elara", "start": 15, "end": 20}]}
{"role": "student", "content": "I need help understanding the interval notation", "session_id": 3592, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "Okay sure, do you have a problem you are working on or would you like me just to explain it?", "session_id": 3592, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "I have 2 problems", "session_id": 3592, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "Okay sounds good", "session_id": 3592, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "Okay so first should we look at the domain>", "session_id": 3592, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "ok", "session_id": 3592, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "So for interval notation do you know the differences between ( ) and [ ]", "session_id": 3592, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "yes", "session_id": 3592, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "() means that it isn't included and [] means it is included", "session_id": 3592, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "Yes so for domain where does it start?", "session_id": 3592, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "and is that number included or not", "session_id": 3592, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "So the domain starts at -8 or -9 (can't tell from the numbers being squished) and its not included", "session_id": 3592, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "Yes thats correct, i think its -8", "session_id": 3592, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "Actually its -8 from looking at the lines", "session_id": 3592, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "Yes, so would that be a ( or [", "session_id": 3592, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "It would be a (", "session_id": 3592, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "Exactly thats right so lets look at where it ends", "session_id": 3592, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "So based on the function", "session_id": 3592, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "it ends at 9", "session_id": 3592, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "Yup, and what is the bracket for the endpoint", "session_id": 3592, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "The bracket for the end point would be ] as its included", "session_id": 3592, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "Yes great job, so now for domain we have (-8, 9]", "session_id": 3592, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "Do you want to try the range?", "session_id": 3592, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "Yea", "session_id": 3592, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "so the range is the opposite as the domain correct?", "session_id": 3592, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "Yes its y's", "session_id": 3592, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "okay", "session_id": 3592, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "so the range is (-3, 4) because they are the lowest and highest points on the Y axis", "session_id": 3592, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "I think the lowest might be -4 but your highest is correct", "session_id": 3592, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "But since 4 is included it should be ]", "session_id": 3592, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "points on the line are included", "session_id": 3592, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "oh", "session_id": 3592, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "Does that make sense?", "session_id": 3592, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "yea", "session_id": 3592, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "Wait", "session_id": 3592, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "so if the line crosses over the point its included?", "session_id": 3592, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "Yes its more like since were in the middle of the line and theres no open/closed circle and no endpoint its included", "session_id": 3592, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "Because its on that point", "session_id": 3592, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "Did that help explain it?", "session_id": 3592, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "yes", "session_id": 3592, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "Ok great", "session_id": 3592, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "Lets do increasing and decreasing now", "session_id": 3592, "sequence_id": 43, "annotations": []}
{"role": "student", "content": "ok", "session_id": 3592, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "So for increasing we want to find the x values for when it increases up to a point", "session_id": 3592, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "So where does it start to increase and is it included?", "session_id": 3592, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "well it starts to increase at -5 which isn't included", "session_id": 3592, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "Close i think it starts to increase at -8, where the line starts", "session_id": 3592, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "Like from that point up to the peak it is going up right?", "session_id": 3592, "sequence_id": 49, "annotations": []}
{"role": "student", "content": "Based on how my teacher explains it", "session_id": 3592, "sequence_id": 50, "annotations": []}
{"role": "student", "content": "the interval of increase would be the next point on the x axis it increases", "session_id": 3592, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "Yes that is right, but the main idea of increase and decrease is to look at the lines/points going left to right", "session_id": 3592, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "so you start at the leftmost part of the line", "session_id": 3592, "sequence_id": 53, "annotations": []}
{"role": "student", "content": "ah", "session_id": 3592, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "And so if we start at -8 we increase until what point?", "session_id": 3592, "sequence_id": 55, "annotations": []}
{"role": "student", "content": "positive 1", "session_id": 3592, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "Yes and so what would our interval for increase look like?", "session_id": 3592, "sequence_id": 57, "annotations": []}
{"role": "student", "content": "(-8, 1) I think", "session_id": 3592, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "Yes", "session_id": 3592, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "So now were at 1 which is the peak", "session_id": 3592, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "So we start from there to find the decreasing interval", "session_id": 3592, "sequence_id": 61, "annotations": []}
{"role": "student", "content": "Well I know this one", "session_id": 3592, "sequence_id": 62, "annotations": []}
{"role": "student", "content": "(1, 9)", "session_id": 3592, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "Yes but 9 has a closed circle so it should be (1,9]", "session_id": 3592, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "Great job though!", "session_id": 3592, "sequence_id": 65, "annotations": []}
{"role": "student", "content": "Just realized", "session_id": 3592, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "Its okay", "session_id": 3592, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "Now we have avg rate of change", "session_id": 3592, "sequence_id": 68, "annotations": []}
{"role": "student", "content": "So how do we find the rate of change?", "session_id": 3592, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "So the formula for rate of change for the whole domain is: change y/ change in x", "session_id": 3592, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "so the changes in x and y is (largest x - smallest x)", "session_id": 3592, "sequence_id": 71, "annotations": []}
{"role": "student", "content": "oh", "session_id": 3592, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "Does that kinda make sense", "session_id": 3592, "sequence_id": 73, "annotations": []}
{"role": "student", "content": "so would we have to use the idea of finding the slope?", "session_id": 3592, "sequence_id": 74, "annotations": []}
{"role": "student", "content": "or is it different", "session_id": 3592, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "Its kind of similar it depends on the graph", "session_id": 3592, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "So for this one lets start with change of y values", "session_id": 3592, "sequence_id": 77, "annotations": []}
{"role": "student", "content": "ok", "session_id": 3592, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "We can take the largest y - smallest y", "session_id": 3592, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "What would these 2 values be?", "session_id": 3592, "sequence_id": 80, "annotations": []}
{"role": "student", "content": "4 - (-4)", "session_id": 3592, "sequence_id": 81, "annotations": []}
{"role": "volunteer", "content": "Yes", "session_id": 3592, "sequence_id": 82, "annotations": []}
{"role": "student", "content": "so its realistically 8", "session_id": 3592, "sequence_id": 83, "annotations": []}
{"role": "volunteer", "content": "Yup", "session_id": 3592, "sequence_id": 84, "annotations": []}
{"role": "volunteer", "content": "Now for x's?", "session_id": 3592, "sequence_id": 85, "annotations": []}
{"role": "student", "content": "9 - (-8)", "session_id": 3592, "sequence_id": 86, "annotations": []}
{"role": "student", "content": "which is 17", "session_id": 3592, "sequence_id": 87, "annotations": []}
{"role": "volunteer", "content": "Yes", "session_id": 3592, "sequence_id": 88, "annotations": []}
{"role": "volunteer", "content": "So now we write it as change in y / change in x", "session_id": 3592, "sequence_id": 89, "annotations": []}
{"role": "volunteer", "content": "So our form is = 8/17", "session_id": 3592, "sequence_id": 90, "annotations": []}
{"role": "student", "content": "so this is our avg rate of change?", "session_id": 3592, "sequence_id": 91, "annotations": []}
{"role": "volunteer", "content": "Yes", "session_id": 3592, "sequence_id": 92, "annotations": []}
{"role": "student", "content": "Alright", "session_id": 3592, "sequence_id": 93, "annotations": []}
{"role": "student", "content": "that seems easy", "session_id": 3592, "sequence_id": 94, "annotations": []}
{"role": "volunteer", "content": "Yes you got it", "session_id": 3592, "sequence_id": 95, "annotations": []}
{"role": "student", "content": "so", "session_id": 3592, "sequence_id": 96, "annotations": []}
{"role": "student", "content": "what if its a graph?", "session_id": 3592, "sequence_id": 97, "annotations": []}
{"role": "volunteer", "content": "For avg rate of change?", "session_id": 3592, "sequence_id": 98, "annotations": []}
{"role": "volunteer", "content": "Or are we looking at the table now", "session_id": 3592, "sequence_id": 99, "annotations": []}
{"role": "student", "content": "Well I put a new equation", "session_id": 3592, "sequence_id": 100, "annotations": []}
{"role": "student", "content": "its the table", "session_id": 3592, "sequence_id": 101, "annotations": []}
{"role": "volunteer", "content": "Ok lets see", "session_id": 3592, "sequence_id": 102, "annotations": []}
{"role": "volunteer", "content": "Sorry one second I was looking at my work and i think we messed up one part for the avg rate of change", "session_id": 3592, "sequence_id": 103, "annotations": []}
{"role": "student", "content": "which was?", "session_id": 3592, "sequence_id": 104, "annotations": []}
{"role": "volunteer", "content": "For the y values we take the y values at each of the endpoints not the peak and min value", "session_id": 3592, "sequence_id": 105, "annotations": []}
{"role": "student", "content": "oh", "session_id": 3592, "sequence_id": 106, "annotations": []}
{"role": "volunteer", "content": "So for the max y it would be the y at the closed dot", "session_id": 3592, "sequence_id": 107, "annotations": []}
{"role": "volunteer", "content": "and the min y would be at the open dot", "session_id": 3592, "sequence_id": 108, "annotations": []}
{"role": "volunteer", "content": "Sorry for this", "session_id": 3592, "sequence_id": 109, "annotations": []}
{"role": "student", "content": "wait so you mean that its supposed to be", "session_id": 3592, "sequence_id": 110, "annotations": []}
{"role": "student", "content": "-1 - (-4)", "session_id": 3592, "sequence_id": 111, "annotations": []}
{"role": "volunteer", "content": "Yes it think its -2 -(-4) though", "session_id": 3592, "sequence_id": 112, "annotations": []}
{"role": "student", "content": "Ah", "session_id": 3592, "sequence_id": 113, "annotations": []}
{"role": "volunteer", "content": "So then its 2/17", "session_id": 3592, "sequence_id": 114, "annotations": []}
{"role": "volunteer", "content": "our x's were right", "session_id": 3592, "sequence_id": 115, "annotations": []}
{"role": "volunteer", "content": "Does this make sense?", "session_id": 3592, "sequence_id": 116, "annotations": []}
{"role": "student", "content": "yes", "session_id": 3592, "sequence_id": 117, "annotations": []}
{"role": "volunteer", "content": "Okay then lets look at the table question", "session_id": 3592, "sequence_id": 118, "annotations": []}
{"role": "volunteer", "content": "So its the same idea for domain and range, except we do a set of values", "session_id": 3592, "sequence_id": 119, "annotations": []}
{"role": "volunteer", "content": "Have you learn how to write that with { }", "session_id": 3592, "sequence_id": 120, "annotations": []}
{"role": "student", "content": "Actually no", "session_id": 3592, "sequence_id": 121, "annotations": []}
{"role": "student", "content": "but I assume its the same as regular brackets", "session_id": 3592, "sequence_id": 122, "annotations": []}
{"role": "volunteer", "content": "Yes pretty much, but for this problem does it say to use interval notation?", "session_id": 3592, "sequence_id": 123, "annotations": []}
{"role": "student", "content": "Well it doesn't say", "session_id": 3592, "sequence_id": 124, "annotations": []}
{"role": "student", "content": "but I think it wants you to do so", "session_id": 3592, "sequence_id": 125, "annotations": []}
{"role": "volunteer", "content": "Alright then, i think we can just write it as a list because it doesn't make sense to do interval notation", "session_id": 3592, "sequence_id": 126, "annotations": []}
{"role": "volunteer", "content": "Because we don't know if the endpoints are included or not if that makes sense", "session_id": 3592, "sequence_id": 127, "annotations": []}
{"role": "student", "content": "well doesn't matter then", "session_id": 3592, "sequence_id": 128, "annotations": []}
{"role": "volunteer", "content": "So for listing the domain and ranges of tables you can just do { all x values } and same for range and y", "session_id": 3592, "sequence_id": 129, "annotations": []}
{"role": "student", "content": "guess we could say they are all included since they are all listed", "session_id": 3592, "sequence_id": 130, "annotations": []}
{"role": "volunteer", "content": "Yes", "session_id": 3592, "sequence_id": 131, "annotations": []}
{"role": "student", "content": "well using the same knowledge", "session_id": 3592, "sequence_id": 132, "annotations": []}
{"role": "student", "content": "the domain is {-2, 7}", "session_id": 3592, "sequence_id": 133, "annotations": []}
{"role": "volunteer", "content": "With the sets you usually have to write all the numbers in between, so it will be kind of long", "session_id": 3592, "sequence_id": 134, "annotations": []}
{"role": "student", "content": "oh", "session_id": 3592, "sequence_id": 135, "annotations": []}
{"role": "volunteer", "content": "Yes but its pretty straight forward so x is like {-2,-1,0,1,2,3,4,5,6,7}", "session_id": 3592, "sequence_id": 136, "annotations": []}
{"role": "volunteer", "content": "and we can just do the same for the range", "session_id": 3592, "sequence_id": 137, "annotations": []}
{"role": "volunteer", "content": "You don't have to type it on here though since its a lot of numbers", "session_id": 3592, "sequence_id": 138, "annotations": []}
{"role": "volunteer", "content": "Just let me know if you have any questions with those t", "session_id": 3592, "sequence_id": 139, "annotations": []}
{"role": "student", "content": "alright so on paper you would have to write all of them out or no?", "session_id": 3592, "sequence_id": 140, "annotations": []}
{"role": "volunteer", "content": "Yes write them all out", "session_id": 3592, "sequence_id": 141, "annotations": []}
{"role": "volunteer", "content": "If your teachers instructions are different though then i would follow what that is", "session_id": 3592, "sequence_id": 142, "annotations": []}
{"role": "student", "content": "ok", "session_id": 3592, "sequence_id": 143, "annotations": []}
{"role": "volunteer", "content": "But for this problem it doesn't specify anything different", "session_id": 3592, "sequence_id": 144, "annotations": []}
{"role": "volunteer", "content": "So let me know when we should move on to increase and decrease", "session_id": 3592, "sequence_id": 145, "annotations": []}
{"role": "student", "content": "we can move on now", "session_id": 3592, "sequence_id": 146, "annotations": []}
{"role": "volunteer", "content": "Okay", "session_id": 3592, "sequence_id": 147, "annotations": []}
{"role": "volunteer", "content": "So same thing lets look at the x values to find the increase and decrease", "session_id": 3592, "sequence_id": 148, "annotations": []}
{"role": "student", "content": "well", "session_id": 3592, "sequence_id": 149, "annotations": []}
{"role": "student", "content": "that means", "session_id": 3592, "sequence_id": 150, "annotations": []}
{"role": "student", "content": "actually wait a sec", "session_id": 3592, "sequence_id": 151, "annotations": []}
{"role": "student", "content": "the y axis and the x axis are confusing me", "session_id": 3592, "sequence_id": 152, "annotations": []}
{"role": "volunteer", "content": "Yes so lets look at it point by point, because since all the x's are increasing the y's change", "session_id": 3592, "sequence_id": 153, "annotations": []}
{"role": "volunteer", "content": "So for -2 -> -1 it goes from 10 to 7 and it keeps decreasing for a couple more points", "session_id": 3592, "sequence_id": 154, "annotations": []}
{"role": "volunteer", "content": "what x value does the y stop decreasing", "session_id": 3592, "sequence_id": 155, "annotations": []}
{"role": "student", "content": "at x value 2", "session_id": 3592, "sequence_id": 156, "annotations": []}
{"role": "volunteer", "content": "Yes", "session_id": 3592, "sequence_id": 157, "annotations": []}
{"role": "student", "content": "and it becomes a constant", "session_id": 3592, "sequence_id": 158, "annotations": []}
{"role": "volunteer", "content": "So we can say it decrease from x= -2 to x=2 or just -2 to 2", "session_id": 3592, "sequence_id": 159, "annotations": []}
{"role": "student", "content": "alright", "session_id": 3592, "sequence_id": 160, "annotations": []}
{"role": "volunteer", "content": "Now after that where does it start to increase", "session_id": 3592, "sequence_id": 161, "annotations": []}
{"role": "student", "content": "at x value 5", "session_id": 3592, "sequence_id": 162, "annotations": []}
{"role": "student", "content": "then 6", "session_id": 3592, "sequence_id": 163, "annotations": []}
{"role": "volunteer", "content": "Yes up to 7 right?", "session_id": 3592, "sequence_id": 164, "annotations": []}
{"role": "student", "content": "yes", "session_id": 3592, "sequence_id": 165, "annotations": []}
{"role": "volunteer", "content": "and i think we should include (4,2) in this because at this point it increase to (5,12)", "session_id": 3592, "sequence_id": 166, "annotations": []}
{"role": "volunteer", "content": "so how can we write it with just the x's", "session_id": 3592, "sequence_id": 167, "annotations": []}
{"role": "student", "content": "4,5", "session_id": 3592, "sequence_id": 168, "annotations": []}
{"role": "volunteer", "content": "Well lets include up to the max x because its still increasing", "session_id": 3592, "sequence_id": 169, "annotations": []}
{"role": "student", "content": "well from what I see", "session_id": 3592, "sequence_id": 170, "annotations": []}
{"role": "student", "content": "it actually slightly decreases", "session_id": 3592, "sequence_id": 171, "annotations": []}
{"role": "volunteer", "content": "Yes at what point", "session_id": 3592, "sequence_id": 172, "annotations": []}
{"role": "student", "content": "7,13", "session_id": 3592, "sequence_id": 173, "annotations": []}
{"role": "volunteer", "content": "Yeah so right now we have it dec from -2 to 2 then inc from 4 to what", "session_id": 3592, "sequence_id": 174, "annotations": []}
{"role": "volunteer", "content": "after that point it dec again", "session_id": 3592, "sequence_id": 175, "annotations": []}
{"role": "student", "content": "well wouldn't there be 3 intervals of increase", "session_id": 3592, "sequence_id": 176, "annotations": []}
{"role": "volunteer", "content": "Wait let me see again", "session_id": 3592, "sequence_id": 177, "annotations": []}
{"role": "volunteer", "content": "it dec from -2 to 1 then again at 6 to 7, and it inc from 4 to 6", "session_id": 3592, "sequence_id": 178, "annotations": []}
{"role": "student", "content": "ok", "session_id": 3592, "sequence_id": 179, "annotations": []}
{"role": "volunteer", "content": "but then at 1 to 2 i think it increases again right?", "session_id": 3592, "sequence_id": 180, "annotations": []}
{"role": "volunteer", "content": "Sorry I keep confusing myself", "session_id": 3592, "sequence_id": 181, "annotations": []}
{"role": "student", "content": "its fine", "session_id": 3592, "sequence_id": 182, "annotations": []}
{"role": "volunteer", "content": "At point (1,-3) it goes to (2,2) so it increases there aswell", "session_id": 3592, "sequence_id": 183, "annotations": []}
{"role": "volunteer", "content": "So inc you can write it as the points or just the x values, what do you prefer?", "session_id": 3592, "sequence_id": 184, "annotations": []}
{"role": "student", "content": "Ok wait", "session_id": 3592, "sequence_id": 185, "annotations": []}
{"role": "student", "content": "there is only 2 intervals of increase actually", "session_id": 3592, "sequence_id": 186, "annotations": []}
{"role": "volunteer", "content": "Yes i think so", "session_id": 3592, "sequence_id": 187, "annotations": []}
{"role": "student", "content": "-2,2 and 4,6", "session_id": 3592, "sequence_id": 188, "annotations": []}
{"role": "volunteer", "content": "Thats for decrease actually", "session_id": 3592, "sequence_id": 189, "annotations": []}
{"role": "student", "content": "wait a sec", "session_id": 3592, "sequence_id": 190, "annotations": []}
{"role": "student", "content": "1,2", "session_id": 3592, "sequence_id": 191, "annotations": []}
{"role": "student", "content": "since technically it finishes decreasing there", "session_id": 3592, "sequence_id": 192, "annotations": []}
{"role": "volunteer", "content": "Yes", "session_id": 3592, "sequence_id": 193, "annotations": []}
{"role": "volunteer", "content": "Sorry lets just write each one, one at a time", "session_id": 3592, "sequence_id": 194, "annotations": []}
{"role": "volunteer", "content": "So decreasing", "session_id": 3592, "sequence_id": 195, "annotations": []}
{"role": "volunteer", "content": "-2 to 1 and 6 to 7", "session_id": 3592, "sequence_id": 196, "annotations": []}
{"role": "volunteer", "content": "does that seem right?", "session_id": 3592, "sequence_id": 197, "annotations": []}
{"role": "student", "content": "yes", "session_id": 3592, "sequence_id": 198, "annotations": []}
{"role": "volunteer", "content": "Okay so increasing", "session_id": 3592, "sequence_id": 199, "annotations": []}
{"role": "volunteer", "content": "1 to 2 and 4 to 6", "session_id": 3592, "sequence_id": 200, "annotations": []}
{"role": "volunteer", "content": "That one too?", "session_id": 3592, "sequence_id": 201, "annotations": []}
{"role": "student", "content": "yes", "session_id": 3592, "sequence_id": 202, "annotations": []}
{"role": "volunteer", "content": "Alright, did this all make sense i know its kind of confusing", "session_id": 3592, "sequence_id": 203, "annotations": []}
{"role": "student", "content": "constant is 2,4", "session_id": 3592, "sequence_id": 204, "annotations": []}
{"role": "volunteer", "content": "Yup", "session_id": 3592, "sequence_id": 205, "annotations": []}
{"role": "student", "content": "so now its just the average rate of change", "session_id": 3592, "sequence_id": 206, "annotations": []}
{"role": "volunteer", "content": "Yes and it says only from 0<x<6", "session_id": 3592, "sequence_id": 207, "annotations": []}
{"role": "volunteer", "content": "So its the same formula we use, change in y / change in x", "session_id": 3592, "sequence_id": 208, "annotations": []}
{"role": "student", "content": "alr", "session_id": 3592, "sequence_id": 209, "annotations": []}
{"role": "student", "content": "so this would be", "session_id": 3592, "sequence_id": 210, "annotations": []}
{"role": "student", "content": "13 - (-3)", "session_id": 3592, "sequence_id": 211, "annotations": []}
{"role": "volunteer", "content": "it is <6 so we should use 12 i think", "session_id": 3592, "sequence_id": 212, "annotations": []}
{"role": "volunteer", "content": "because that would be at 7", "session_id": 3592, "sequence_id": 213, "annotations": []}
{"role": "volunteer", "content": "So 12 - (-3) right?", "session_id": 3592, "sequence_id": 214, "annotations": []}
{"role": "student", "content": "yes", "session_id": 3592, "sequence_id": 215, "annotations": []}
{"role": "volunteer", "content": "Now for the x's", "session_id": 3592, "sequence_id": 216, "annotations": []}
{"role": "student", "content": "I just realized that I said 13 instead of 14", "session_id": 3592, "sequence_id": 217, "annotations": []}
{"role": "student", "content": "anywho", "session_id": 3592, "sequence_id": 218, "annotations": []}
{"role": "volunteer", "content": "Its fine", "session_id": 3592, "sequence_id": 219, "annotations": []}
{"role": "student", "content": "5 - (-2) I think", "session_id": 3592, "sequence_id": 220, "annotations": []}
{"role": "student", "content": "since its less than 6", "session_id": 3592, "sequence_id": 221, "annotations": []}
{"role": "volunteer", "content": "they said for the x values between 0 and 6, 0<x<6", "session_id": 3592, "sequence_id": 222, "annotations": []}
{"role": "volunteer", "content": "So everthing in between", "session_id": 3592, "sequence_id": 223, "annotations": []}
{"role": "student", "content": "oh", "session_id": 3592, "sequence_id": 224, "annotations": []}
{"role": "student", "content": "5 - 1", "session_id": 3592, "sequence_id": 225, "annotations": []}
{"role": "volunteer", "content": "Good", "session_id": 3592, "sequence_id": 226, "annotations": []}
{"role": "volunteer", "content": "So what do we have now?", "session_id": 3592, "sequence_id": 227, "annotations": []}
{"role": "student", "content": "calculating", "session_id": 3592, "sequence_id": 228, "annotations": []}
{"role": "volunteer", "content": "Alright", "session_id": 3592, "sequence_id": 229, "annotations": []}
{"role": "student", "content": "15/4", "session_id": 3592, "sequence_id": 230, "annotations": []}
{"role": "student", "content": "or 3.76", "session_id": 3592, "sequence_id": 231, "annotations": []}
{"role": "student", "content": "3.75*", "session_id": 3592, "sequence_id": 232, "annotations": []}
{"role": "volunteer", "content": "Yes looks good to me", "session_id": 3592, "sequence_id": 233, "annotations": []}
{"role": "volunteer", "content": "I think its fine to keep it as whatever", "session_id": 3592, "sequence_id": 234, "annotations": []}
{"role": "volunteer", "content": "Did everything make sense for this?", "session_id": 3592, "sequence_id": 235, "annotations": []}
{"role": "student", "content": "yes", "session_id": 3592, "sequence_id": 236, "annotations": []}
{"role": "student", "content": "thank you for your time Elara", "session_id": 3592, "sequence_id": 237, "annotations": [{"pii_type": "PERSON", "surrogate": "Elara", "start": 24, "end": 29}]}
{"role": "student", "content": "it really helped me better understand", "session_id": 3592, "sequence_id": 238, "annotations": []}
{"role": "volunteer", "content": "Yea no problem, have a wonderful rest of your day!", "session_id": 3592, "sequence_id": 239, "annotations": []}
{"role": "volunteer", "content": "Great job today!", "session_id": 3592, "sequence_id": 240, "annotations": []}
{"role": "student", "content": "Thanks!", "session_id": 3592, "sequence_id": 241, "annotations": []}
{"role": "volunteer", "content": "Hi Leo", "session_id": 4252, "sequence_id": 0, "annotations": [{"pii_type": "PERSON", "surrogate": "Leo", "start": 3, "end": 6}]}
{"role": "student", "content": "hello how are you", "session_id": 4252, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "I'm well, thanks. How are you doing?", "session_id": 4252, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "I am doing well", "session_id": 4252, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "i have more related rates problems", "session_id": 4252, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "OK. I have about 30 minutes this morning.", "session_id": 4252, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "ok i will be quick", "session_id": 4252, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "i am posting a problem", "session_id": 4252, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "I'm reading...", "session_id": 4252, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "Are you able to upload the figure mentioned in the problem?", "session_id": 4252, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "I see it. Are we starting with question (a) asking for the volume V ?", "session_id": 4252, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "yes", "session_id": 4252, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "The first step is to find the relationship between \"r\" and \"h\". Can you do it?", "session_id": 4252, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "is this fora", "session_id": 4252, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "a", "session_id": 4252, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "bc don't i just have to plg in 5", "session_id": 4252, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "You'll need to plug in 5, but we don't know the value of \"r\" yet. That's why we need the relationship. Hint: use similar triangles.", "session_id": 4252, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "Do you see the similar triangles?", "session_id": 4252, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "yes", "session_id": 4252, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "They are similar because all the angles are the same in both triangles. Therefore, the ratios of their side lengths are all the same.", "session_id": 4252, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "OK so far?", "session_id": 4252, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "yes", "session_id": 4252, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "Now that we have the relationship: r = (5/10)*h = h/2, we can take the formula for the volume V and replace r with h/2.", "session_id": 4252, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "is that right", "session_id": 4252, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "Correct. That's the answer for (a).", "session_id": 4252, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "For (b), replace \"r\" with \"h/2\" in the formula for \"V\", then differentiate with respect to \"t\". Can you do it?", "session_id": 4252, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "i think so", "session_id": 4252, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "Not quite correct. I'll show you on the board.", "session_id": 4252, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "ok", "session_id": 4252, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "Can you differentiate the expression I wrote in blue with respect to \"t\" ?", "session_id": 4252, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "As a rule, it's good to simplify an expression *before* you differentiate, as I did.", "session_id": 4252, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "Now it's correct.", "session_id": 4252, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "Plug in the values of h and dh/dt, and that will answer question (b).", "session_id": 4252, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "Your answer is correct, but they may want an \"exact\" answer, -15\u03c0/8 after simplification.", "session_id": 4252, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "ok", "session_id": 4252, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "We can move on to (c). Can you write the expression for the surface area of water, as a function of \"h\" ?", "session_id": 4252, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "Hint: the water surface is a circle of radius \"r\".", "session_id": 4252, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "is there a formula for that", "session_id": 4252, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "surface area of water", "session_id": 4252, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "I'll write it on the board.", "session_id": 4252, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "I have only 5 minutes. I'll show you the last step.", "session_id": 4252, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "OK so far?", "session_id": 4252, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "yes", "session_id": 4252, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "I'm showing the constant of propoertionality in pink color.", "session_id": 4252, "sequence_id": 43, "annotations": []}
{"role": "student", "content": "is that the answer", "session_id": 4252, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "Yes. dV/dt = constant * A, so it's directly propoertional. And the constant is dh/dt = -3/10.", "session_id": 4252, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "yes it makes sense thanks for your help", "session_id": 4252, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "You're welcome. Enjoy your day.", "session_id": 4252, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "hello what do you need help in", "session_id": 4455, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "hi i need help with exploring similar triangles and slope", "session_id": 4455, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "ok, do have a example problem", "session_id": 4455, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "oh and also dilation sorry", "session_id": 4455, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "ok so should i explain the topic or a problem", "session_id": 4455, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "the topic then a problem", "session_id": 4455, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 4455, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "two triangles similar if they have the same shape, through proporitnate sides or 2 same angles", "session_id": 4455, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "ok", "session_id": 4455, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "does the diagram help?", "session_id": 4455, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "yes", "session_id": 4455, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "there are 3 ways to check similarty", "session_id": 4455, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "AA, if two angles are the same", "session_id": 4455, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "SSS, if all sides are proporntate", "session_id": 4455, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "ok", "session_id": 4455, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "SAS, if two sides are proprtiante and include an angle", "session_id": 4455, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "Slope", "session_id": 4455, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "right", "session_id": 4455, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "Slope is rise over run, which is y sub 2- y sub 1 over x sub 2 - y sub 1", "session_id": 4455, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "it tells how steep a line is", "session_id": 4455, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "right", "session_id": 4455, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "if the slope is - then it will go down", "session_id": 4455, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "if not it will go up", "session_id": 4455, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "slope of 0 is a horiziaontal line", "session_id": 4455, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "undifined is vertical line", "session_id": 4455, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "so it will go down not up ?", "session_id": 4455, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "I am sorry if it is unclear, if the slope is - it will go downwards, if it is postitive it will go up", "session_id": 4455, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "ok i understand", "session_id": 4455, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "good", "session_id": 4455, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "Dialation is resizing a shape either bigger or smaller with chagning the shape of the shap if you get me", "session_id": 4455, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "Scale factors tells you how big or small it gets", "session_id": 4455, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "scale factor of 2 doubles the sides", "session_id": 4455, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "scale factor of 0.5 cuts the sides in half", "session_id": 4455, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "it is related to similar triangles", "session_id": 4455, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "do you understand", "session_id": 4455, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "yes sorry im just taking notes", "session_id": 4455, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "ok cool", "session_id": 4455, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "so basically, to sum it all up dilation is a transformation that changes the size of a figure but not its shape and slope is a measure of how steep a line is right", "session_id": 4455, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "i am not sure if AA SSS SAS will be covered in 9th grade", "session_id": 4455, "sequence_id": 38, "annotations": [{"pii_type": "GRADE_LEVEL", "surrogate": "9th grade", "start": 47, "end": 56}]}
{"role": "volunteer", "content": "yes", "session_id": 4455, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "i have not heard my techers say that so i don't know", "session_id": 4455, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "ok you can ask your teacher later to confrim", "session_id": 4455, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "i can give you problems now if you want", "session_id": 4455, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "yes", "session_id": 4455, "sequence_id": 43, "annotations": []}
{"role": "student", "content": "only two though because i have to join my other session", "session_id": 4455, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "Triangle ABC has sides 3, 4, 5 and Triangle DEF has sides 6,8,10 are they similar i will draw the diagram if you want to more speficy the sides", "session_id": 4455, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "i will do it quickly", "session_id": 4455, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "Slope question", "session_id": 4455, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "Find the slope of the line that passes through the points (2,5) and (6,13) the x values are 6 and 2 and the y values are 13 and 5", "session_id": 4455, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "ok", "session_id": 4455, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "i make a dialtion question that you can work on later", "session_id": 4455, "sequence_id": 50, "annotations": []}
{"role": "student", "content": "ok", "session_id": 4455, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "A triangle has sides 4, 6, and 8 which are dialted by a scale factor of 1.5. what are the new side lentghs of the triangle?", "session_id": 4455, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "tell me the answers after your done", "session_id": 4455, "sequence_id": 53, "annotations": []}
{"role": "student", "content": "ok", "session_id": 4455, "sequence_id": 54, "annotations": []}
{"role": "student", "content": "for the first question i said yes because i used the sss method and all the corresponding sides have the same ratio which is 1/2", "session_id": 4455, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "so it isn't because in the diagram more spefecily, 3 coressponds to 6 which is 1/2 so u are right for that, but 5 coressponds to 8 not 10, and 5/8 is not 1/2 and 4 corresspodsn with 10 making it 2/5 which is alos not 1/2. This is because the angle helps determine the corresspsoded angles.", "session_id": 4455, "sequence_id": 56, "annotations": []}
{"role": "student", "content": "oh ok", "session_id": 4455, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "but you can use SSS to prove that aren't similar, so you were on the right track", "session_id": 4455, "sequence_id": 58, "annotations": []}
{"role": "student", "content": "ok im working on the second question", "session_id": 4455, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "cool", "session_id": 4455, "sequence_id": 60, "annotations": []}
{"role": "student", "content": "the second one is 2 i think", "session_id": 4455, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "nice you got it right!", "session_id": 4455, "sequence_id": 62, "annotations": []}
{"role": "student", "content": "yes!", "session_id": 4455, "sequence_id": 63, "annotations": []}
{"role": "student", "content": "ok and the new side lengths for the last one is 6,9 and 12 i know this because the scale factor is 1.5 so i multiplied 4 by 1.5 and got 6 i did 6 by 1.5 and got 9 i did 8 by 1.5 and got 12 so thats the new lengths", "session_id": 4455, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "correct!", "session_id": 4455, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "Is it time for the other session?", "session_id": 4455, "sequence_id": 66, "annotations": []}
{"role": "student", "content": "yes", "session_id": 4455, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "ok goodbye and have a good weekend.", "session_id": 4455, "sequence_id": 68, "annotations": []}
{"role": "student", "content": "ok see ya! and you have a good weekend, i had a very good time and you did a great job teaching me", "session_id": 4455, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "nice", "session_id": 4455, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "thank you", "session_id": 4455, "sequence_id": 71, "annotations": []}
{"role": "student", "content": "the math festival!!", "session_id": 4455, "sequence_id": 72, "annotations": [{"pii_type": "LOCATION", "surrogate": "the math festival", "start": 0, "end": 17}]}
{"role": "volunteer", "content": "bye!", "session_id": 4455, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "I am getting notifications from a student, are you the person?", "session_id": 4455, "sequence_id": 74, "annotations": []}
{"role": "volunteer", "content": "I can help if its you.", "session_id": 4455, "sequence_id": 75, "annotations": []}
{"role": "student", "content": "no its not me", "session_id": 4455, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "ok sorry", "session_id": 4455, "sequence_id": 77, "annotations": []}
{"role": "student", "content": "its ok i might need help later", "session_id": 4455, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 4455, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "hi Ben", "session_id": 4727, "sequence_id": 0, "annotations": [{"pii_type": "PERSON", "surrogate": "Ben", "start": 3, "end": 6}]}
{"role": "volunteer", "content": "are you here?", "session_id": 4727, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "yes!", "session_id": 4727, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "how are you? ill post my question on the board now", "session_id": 4727, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "I'm fine. Thanks for asking. How are you?", "session_id": 4727, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "not too bad myself!", "session_id": 4727, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "hmmm, this requires some thought", "session_id": 4727, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "did u want me to seek another tutor?", "session_id": 4727, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "I'm having a hard time seeing that shape as a single quadratic function", "session_id": 4727, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "oh, wait", "session_id": 4727, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "it's not quadratic", "session_id": 4727, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "there are exponents to be found", "session_id": 4727, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "yeahhhh", "session_id": 4727, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "and a polynomial can have n-2 inflection points, where n is the degree of the polynomial", "session_id": 4727, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "so the degree is 3", "session_id": 4727, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "how many inflection points do you see?", "session_id": 4727, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "2", "session_id": 4727, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "I think that makes the degree 4", "session_id": 4727, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "hmmm", "session_id": 4727, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "it has to be in this format", "session_id": 4727, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "4th degree, and 4-2 inflection points", "session_id": 4727, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "yeah it looks like 2 or 3 hills its hard to tell", "session_id": 4727, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "and the function has the same value for x=110 and x=200", "session_id": 4727, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "yeah thats the baseline", "session_id": 4727, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "also since at (110,80) the line crosses the mutliplicity is odd", "session_id": 4727, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "which we could just say one", "session_id": 4727, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "r u there", "session_id": 4727, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "function is convex opening down until (170, 100), then convex opening up until (200, 80), then convex opening down again after that", "session_id": 4727, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "2 inflection points", "session_id": 4727, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "ok", "session_id": 4727, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "so 2 extrema which makes a degree 3", "session_id": 4727, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "can't be degree 3. end behavior is the same at both ends", "session_id": 4727, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "ok so what degree would it be", "session_id": 4727, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "4", "session_id": 4727, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "plug 1 for x 2 for y to find a", "session_id": 4727, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "wait", "session_id": 4727, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "for (200,80) it bounces so it would be an exponent of 3", "session_id": 4727, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "not 2", "session_id": 4727, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "so exponents 1 and 3?", "session_id": 4727, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 4727, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "do u know the odd and even multiplicity rule", "session_id": 4727, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "no", "session_id": 4727, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "oh ok", "session_id": 4727, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "can you solve for a im gonna put this in my notes rq", "session_id": 4727, "sequence_id": 43, "annotations": []}
{"role": "student", "content": "?", "session_id": 4727, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "something's not right", "session_id": 4727, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "i'm getting a to be a small, positive number", "session_id": 4727, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "it has to be negative", "session_id": 4727, "sequence_id": 47, "annotations": []}
{"role": "student", "content": "hmm", "session_id": 4727, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "lets leave it a fraction", "session_id": 4727, "sequence_id": 49, "annotations": []}
{"role": "student", "content": "i tihnk thats what my class would want", "session_id": 4727, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "but a has to be negative for the function to open downward", "session_id": 4727, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 4727, "sequence_id": 52, "annotations": []}
{"role": "student", "content": "where did you get,00 i got 81,000", "session_id": 4727, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "810,000", "session_id": 4727, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "still not negative", "session_id": 4727, "sequence_id": 55, "annotations": []}
{"role": "student", "content": "20/1620,000 is 1/81,000", "session_id": 4727, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "oh, right, it's 20, not 2", "session_id": 4727, "sequence_id": 57, "annotations": []}
{"role": "student", "content": "haha", "session_id": 4727, "sequence_id": 58, "annotations": []}
{"role": "student", "content": "lets just put a negative symbol its fine", "session_id": 4727, "sequence_id": 59, "annotations": []}
{"role": "student", "content": "so now we can write this out", "session_id": 4727, "sequence_id": 60, "annotations": []}
{"role": "student", "content": "now we have to find the max height", "session_id": 4727, "sequence_id": 61, "annotations": []}
{"role": "student", "content": "how do we do that?", "session_id": 4727, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "let me figure that out", "session_id": 4727, "sequence_id": 63, "annotations": []}
{"role": "student", "content": "kk", "session_id": 4727, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "the \"simple\" answer involves taking a derivative. this is pre-calculus. have you covered derivatives?", "session_id": 4727, "sequence_id": 65, "annotations": []}
{"role": "student", "content": "hmm no i havent", "session_id": 4727, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "let me see if there is another way", "session_id": 4727, "sequence_id": 67, "annotations": []}
{"role": "student", "content": "ok", "session_id": 4727, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "the only other thing I'm finding is to use a graphing calculator", "session_id": 4727, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "I don't coach calculus, but I know how to take a simple derivative.", "session_id": 4727, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "should we try that?", "session_id": 4727, "sequence_id": 71, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 4727, "sequence_id": 72, "annotations": []}
{"role": "student", "content": "lets graph it", "session_id": 4727, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "also, I think our 80 is wrong, since we had to make a negative", "session_id": 4727, "sequence_id": 74, "annotations": []}
{"role": "volunteer", "content": "no, still 80", "session_id": 4727, "sequence_id": 75, "annotations": []}
{"role": "student", "content": "Michael", "session_id": 4727, "sequence_id": 76, "annotations": [{"pii_type": "PERSON", "surrogate": "Michael", "start": 0, "end": 7}]}
{"role": "volunteer", "content": "the derivative of (x-b)^n is n(x-b)^n-1", "session_id": 4727, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "derivative of a constant is 0", "session_id": 4727, "sequence_id": 78, "annotations": []}
{"role": "student", "content": "ok", "session_id": 4727, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "I keep wanting it to be 810,000, LOL", "session_id": 4727, "sequence_id": 80, "annotations": []}
{"role": "student", "content": "LOLL", "session_id": 4727, "sequence_id": 81, "annotations": []}
{"role": "student", "content": "ur good  \ud83e\udd23\ud83e\udd23", "session_id": 4727, "sequence_id": 82, "annotations": []}
{"role": "student", "content": "whats after this", "session_id": 4727, "sequence_id": 83, "annotations": []}
{"role": "volunteer", "content": "sorry, that much is not right", "session_id": 4727, "sequence_id": 84, "annotations": []}
{"role": "student", "content": "oh", "session_id": 4727, "sequence_id": 85, "annotations": []}
{"role": "volunteer", "content": "Ugly!!!!", "session_id": 4727, "sequence_id": 86, "annotations": []}
{"role": "volunteer", "content": "we would have to expand that out and find the roots", "session_id": 4727, "sequence_id": 87, "annotations": []}
{"role": "student", "content": "oh boyyy!!", "session_id": 4727, "sequence_id": 88, "annotations": []}
{"role": "volunteer", "content": "let me search one more time", "session_id": 4727, "sequence_id": 89, "annotations": []}
{"role": "student", "content": "kk!!!", "session_id": 4727, "sequence_id": 90, "annotations": []}
{"role": "student", "content": "WAIT", "session_id": 4727, "sequence_id": 91, "annotations": []}
{"role": "volunteer", "content": "sorry, everything I'm seeing is either set the derivative = 0 or use graphing calculator.", "session_id": 4727, "sequence_id": 92, "annotations": []}
{"role": "volunteer", "content": "what idea did you get?", "session_id": 4727, "sequence_id": 93, "annotations": []}
{"role": "student", "content": "my teacher informed us that for the maximum point we're actually using the graphing calculator for that and we're gonna round the decimal whatever we get for the y value", "session_id": 4727, "sequence_id": 94, "annotations": []}
{"role": "volunteer", "content": "oh", "session_id": 4727, "sequence_id": 95, "annotations": []}
{"role": "student", "content": "i just looked back at my teachers notes LOL", "session_id": 4727, "sequence_id": 96, "annotations": []}
{"role": "volunteer", "content": "like I said, derivative = 0 or graphing calculator", "session_id": 4727, "sequence_id": 97, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 4727, "sequence_id": 98, "annotations": []}
{"role": "student", "content": "sooo how would we put this in a graphing calculator", "session_id": 4727, "sequence_id": 99, "annotations": []}
{"role": "volunteer", "content": "make sure you put in 81,000, 20,000, LOL", "session_id": 4727, "sequence_id": 100, "annotations": []}
{"role": "student", "content": "OKAY", "session_id": 4727, "sequence_id": 101, "annotations": []}
{"role": "volunteer", "content": "Back in my day, we were still using slide rules, not calculators", "session_id": 4727, "sequence_id": 102, "annotations": []}
{"role": "volunteer", "content": "I can use a scientific calculator, but never used a graphing calculator. can't help you there", "session_id": 4727, "sequence_id": 103, "annotations": []}
{"role": "volunteer", "content": "put in the equation or the 3 points, I guess", "session_id": 4727, "sequence_id": 104, "annotations": []}
{"role": "student", "content": "its sad and unfortunate that i have to learn through calculators and not do the work myself", "session_id": 4727, "sequence_id": 105, "annotations": []}
{"role": "student", "content": "ok let me try", "session_id": 4727, "sequence_id": 106, "annotations": []}
{"role": "volunteer", "content": "it is", "session_id": 4727, "sequence_id": 107, "annotations": []}
{"role": "student", "content": "even for exams they let us use a ti84 calculator which is literally like a smart phone you get the answers by just putting in the equation", "session_id": 4727, "sequence_id": 108, "annotations": []}
{"role": "student", "content": "i got.3 for the max height", "session_id": 4727, "sequence_id": 109, "annotations": []}
{"role": "student", "content": "20.4.4", "session_id": 4727, "sequence_id": 110, "annotations": []}
{"role": "volunteer", "content": "sounds about right", "session_id": 4727, "sequence_id": 111, "annotations": []}
{"role": "student", "content": "ok", "session_id": 4727, "sequence_id": 112, "annotations": []}
{"role": "student", "content": "Michael, can you stay for one more question? if not I understand", "session_id": 4727, "sequence_id": 113, "annotations": [{"pii_type": "PERSON", "surrogate": "Michael", "start": 0, "end": 7}]}
{"role": "volunteer", "content": "I can only help you get started", "session_id": 4727, "sequence_id": 114, "annotations": []}
{"role": "student", "content": "Michael", "session_id": 4727, "sequence_id": 115, "annotations": [{"pii_type": "PERSON", "surrogate": "Michael", "start": 0, "end": 7}]}
{"role": "volunteer", "content": "I would start with graphing calculator", "session_id": 4727, "sequence_id": 116, "annotations": []}
{"role": "volunteer", "content": "what will you look for to see if roller coaster goes below ground?", "session_id": 4727, "sequence_id": 117, "annotations": []}
{"role": "student", "content": "hmmm", "session_id": 4727, "sequence_id": 118, "annotations": []}
{"role": "student", "content": "i would look for where it crosses the x axis?", "session_id": 4727, "sequence_id": 119, "annotations": []}
{"role": "volunteer", "content": "yeah", "session_id": 4727, "sequence_id": 120, "annotations": []}
{"role": "volunteer", "content": "that will give you the decimal approximation", "session_id": 4727, "sequence_id": 121, "annotations": []}
{"role": "student", "content": "ok", "session_id": 4727, "sequence_id": 122, "annotations": []}
{"role": "volunteer", "content": "the exact value requires that you find the exact root", "session_id": 4727, "sequence_id": 123, "annotations": []}
{"role": "volunteer", "content": "the only way I can think of for that is to guess at a root, and use synthetic division", "session_id": 4727, "sequence_id": 124, "annotations": []}
{"role": "student", "content": "ok", "session_id": 4727, "sequence_id": 125, "annotations": []}
{"role": "student", "content": "im putting it in graph calculator now", "session_id": 4727, "sequence_id": 126, "annotations": []}
{"role": "student", "content": "look", "session_id": 4727, "sequence_id": 127, "annotations": []}
{"role": "student", "content": "can u see", "session_id": 4727, "sequence_id": 128, "annotations": []}
{"role": "volunteer", "content": "we only look at 140 feet", "session_id": 4727, "sequence_id": 129, "annotations": []}
{"role": "volunteer", "content": "are you sure you got the equation in correctly?", "session_id": 4727, "sequence_id": 130, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 4727, "sequence_id": 131, "annotations": []}
{"role": "student", "content": "let me check", "session_id": 4727, "sequence_id": 132, "annotations": []}
{"role": "student", "content": "look", "session_id": 4727, "sequence_id": 133, "annotations": []}
{"role": "student", "content": "it doesnt go under it seems like", "session_id": 4727, "sequence_id": 134, "annotations": []}
{"role": "volunteer", "content": "silly to ask you where it crosses x-axis when it never crosses", "session_id": 4727, "sequence_id": 135, "annotations": []}
{"role": "student", "content": "yeahhh", "session_id": 4727, "sequence_id": 136, "annotations": []}
{"role": "student", "content": "frrr", "session_id": 4727, "sequence_id": 137, "annotations": []}
{"role": "student", "content": "and wouldnt 140 be the relative maximum", "session_id": 4727, "sequence_id": 138, "annotations": []}
{"role": "volunteer", "content": "you can estimate where it crosses at around 137 ft and 150 ft, and point out that neither of them is between 140 and 160", "session_id": 4727, "sequence_id": 139, "annotations": []}
{"role": "volunteer", "content": "(140, 40) is the relative maximum", "session_id": 4727, "sequence_id": 140, "annotations": []}
{"role": "volunteer", "content": "how about relative min?", "session_id": 4727, "sequence_id": 141, "annotations": []}
{"role": "volunteer", "content": "are you still here?", "session_id": 4727, "sequence_id": 142, "annotations": []}
{"role": "student", "content": "ok", "session_id": 4727, "sequence_id": 143, "annotations": []}
{"role": "student", "content": "yes my bad", "session_id": 4727, "sequence_id": 144, "annotations": []}
{"role": "volunteer", "content": "min?", "session_id": 4727, "sequence_id": 145, "annotations": []}
{"role": "volunteer", "content": "yeah", "session_id": 4727, "sequence_id": 146, "annotations": []}
{"role": "student", "content": "the min would (170,0", "session_id": 4727, "sequence_id": 147, "annotations": []}
{"role": "volunteer", "content": "I've got to go now", "session_id": 4727, "sequence_id": 148, "annotations": []}
{"role": "student", "content": "thanks for ALL your help!!!\ntake care", "session_id": 4727, "sequence_id": 149, "annotations": []}
{"role": "volunteer", "content": "yw. bye", "session_id": 4727, "sequence_id": 150, "annotations": []}
{"role": "volunteer", "content": "hi Jamie", "session_id": 5342, "sequence_id": 0, "annotations": [{"pii_type": "PERSON", "surrogate": "Jamie", "start": 3, "end": 8}]}
{"role": "student", "content": "Hello!", "session_id": 5342, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "i needed help checking my answers!", "session_id": 5342, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 5342, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "looks good, but I think you should label 1, 2 and 3", "session_id": 5342, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "okis!", "session_id": 5342, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "do you think those labels are correct?", "session_id": 5342, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "yes", "session_id": 5342, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "did you draw those graphs, or somebody else did?", "session_id": 5342, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "i used desmos", "session_id": 5342, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "and i did", "session_id": 5342, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "#1 has two roots. which curve crosses the x-axis twice?", "session_id": 5342, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "3", "session_id": 5342, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "so 3 should be labeled 1, right?", "session_id": 5342, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "ohhh I'm sorry i did the backwards and yes it should be labeled 1", "session_id": 5342, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "3 doesn't even touch the x-axis. which graph should that be?", "session_id": 5342, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "2", "session_id": 5342, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "yeah", "session_id": 5342, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "that leaves 2, with one root. it touches the x-axis, but doesn't cross it", "session_id": 5342, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "doesn't that make more sense?", "session_id": 5342, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "yes it does", "session_id": 5342, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "do you have time for 9 questions?", "session_id": 5342, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "depends on how long it takes", "session_id": 5342, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "we'll see how far we get", "session_id": 5342, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "okay so im all good for this question right?", "session_id": 5342, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 5342, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "correct", "session_id": 5342, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "yayy", "session_id": 5342, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "correct", "session_id": 5342, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "6 correct", "session_id": 5342, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "6?", "session_id": 5342, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "problem 6", "session_id": 5342, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "I'm doing 7 now", "session_id": 5342, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "ohhhh", "session_id": 5342, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "7 is also correct", "session_id": 5342, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "yayy", "session_id": 5342, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "correct", "session_id": 5342, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "funny that they used the plural \"What are the x-coordinates\"", "session_id": 5342, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "correct answer, though, (singular)", "session_id": 5342, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "looking at the next one", "session_id": 5342, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "lol yayy ok I think like 4 more are left", "session_id": 5342, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "I don't remember what quadratic regression is. I'll have to look it up.", "session_id": 5342, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "i used like the a+b+c thing", "session_id": 5342, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "I don't know that, either. why don't you show me your work on the board?", "session_id": 5342, "sequence_id": 43, "annotations": []}
{"role": "student", "content": "umm it might take a long time but ill have to re write it", "session_id": 5342, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "nvm", "session_id": 5342, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "I found a quadratic regression calculator online", "session_id": 5342, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "it gave me: y = 2x2 + 3x + 1.9993", "session_id": 5342, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "that's 2x^2", "session_id": 5342, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "so a=2", "session_id": 5342, "sequence_id": 49, "annotations": []}
{"role": "student", "content": "yay but lol I did all that work, I could've done it on a calculator", "session_id": 5342, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "I think it is actually 2x^2+3x+2", "session_id": 5342, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "oh", "session_id": 5342, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "still a=2", "session_id": 5342, "sequence_id": 53, "annotations": []}
{"role": "student", "content": "oh okk", "session_id": 5342, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "I found an equation for the parabola. (4, 4) is not on it", "session_id": 5342, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "hmmm, I don't think any of the points is on that parabola I found", "session_id": 5342, "sequence_id": 56, "annotations": []}
{"role": "student", "content": "hmm", "session_id": 5342, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "did you find an equation for the parabola?", "session_id": 5342, "sequence_id": 58, "annotations": []}
{"role": "student", "content": "no i jdid  2 + 2, 1 + 3", "session_id": 5342, "sequence_id": 59, "annotations": []}
{"role": "student", "content": "i just*", "session_id": 5342, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "but graphing gave me (4, 4)", "session_id": 5342, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "yeah, 2 to the left of vertex and 2 to the right have the same y", "session_id": 5342, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "so  (4, 4)", "session_id": 5342, "sequence_id": 63, "annotations": []}
{"role": "student", "content": "yaa", "session_id": 5342, "sequence_id": 64, "annotations": []}
{"role": "student", "content": "yay*", "session_id": 5342, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "Question 2 is correct", "session_id": 5342, "sequence_id": 66, "annotations": []}
{"role": "student", "content": "okayy", "session_id": 5342, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "that one is also correct", "session_id": 5342, "sequence_id": 68, "annotations": []}
{"role": "student", "content": "yayy that was the last one", "session_id": 5342, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "we got through all of them!", "session_id": 5342, "sequence_id": 70, "annotations": []}
{"role": "student", "content": "yayy thank you so much for your help thank you for helping me understand!", "session_id": 5342, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "yw", "session_id": 5342, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "bye", "session_id": 5342, "sequence_id": 73, "annotations": []}
{"role": "student", "content": "byee", "session_id": 5342, "sequence_id": 74, "annotations": []}
{"role": "volunteer", "content": "Hi", "session_id": 6027, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "Hello", "session_id": 6027, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "Um", "session_id": 6027, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "so I just need a", "session_id": 6027, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "like help on", "session_id": 6027, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "reviewing for a test tomorrow.", "session_id": 6027, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "and you can't use a calculator.", "session_id": 6027, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "So, uh, I just have like.", "session_id": 6027, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "I think like 4 problems to go over.", "session_id": 6027, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "Oh yeah, this is the first one. It says find X and Y.", "session_id": 6027, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "Hello?", "session_id": 6027, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "Yeah wait please", "session_id": 6027, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "Wait please", "session_id": 6027, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "I need a new board", "session_id": 6027, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "Ok!", "session_id": 6027, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "I dont know how to clear the board", "session_id": 6027, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "Can you do this for me", "session_id": 6027, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "Yeah thanks", "session_id": 6027, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "Do you get it", "session_id": 6027, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "hi", "session_id": 7405, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "hi", "session_id": 7405, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "wdy need help with td?", "session_id": 7405, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "can I put it up on the board?", "session_id": 7405, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "yep", "session_id": 7405, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "ok so first we see paranthesis and thats our first step to do distribtuibe property and multiply -6 by (-6c+8)", "session_id": 7405, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "i think i accidently erased the photo...", "session_id": 7405, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "Im mostly confused about where the signs go and what goes in the final expression. I understand the concept of keeping the sign with the number but I am making a mistake somewhere in the process", "session_id": 7405, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "ok try working that out what i wrote out", "session_id": 7405, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "ok ur close but remember its -6 times -6c", "session_id": 7405, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "so -6 times -6 which is 36 since negatives cancel out so you have 36c", "session_id": 7405, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "but can't you only combine like terms", "session_id": 7405, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "when given distirbutive property and its multiplication like this, inorder to actually combine (add or substract) you have to get rid of the parenthesis and use multiplication", "session_id": 7405, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "so now when we combine like terms we only combine the terms that have the same variable so -8c and 36c", "session_id": 7405, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "and we also combine the whole numbers: 7-6-48", "session_id": 7405, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "but If you have just a normal number, Can you multiply it by a number with a term", "session_id": 7405, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "yep", "session_id": 7405, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "ohh", "session_id": 7405, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "ok", "session_id": 7405, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "so like 5 and 5c can be multiplied to get 25c", "session_id": 7405, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "thats just an example", "session_id": 7405, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "ya it makes more sense noe", "session_id": 7405, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "now", "session_id": 7405, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "oh ok good", "session_id": 7405, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "so whats ur final asnwer", "session_id": 7405, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "44", "session_id": 7405, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "c", "session_id": 7405, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "-44c", "session_id": 7405, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "-8+36?", "session_id": 7405, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "-8+36 would be 28", "session_id": 7405, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "cuz remember like a number line", "session_id": 7405, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "yep I did not see the negative sign", "session_id": 7405, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "ok yeah and then dont forget to combine your whole numbers: 7-6-48 bc thats part of the final asnwer", "session_id": 7405, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "why is it - 48 and not +48", "session_id": 7405, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "-6(-6c+8) right and then -6 times positive 8", "session_id": 7405, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "oh", "session_id": 7405, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "would just be -48, negatives dont cancel since there is only one negative", "session_id": 7405, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "ya", "session_id": 7405, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "so final answer would be -47+28c", "session_id": 7405, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "you dont combine those two numbers since those arent like terms", "session_id": 7405, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "7-6-48=-47", "session_id": 7405, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "that makes a lot more sense", "session_id": 7405, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "but wasnt the 8 8c", "session_id": 7405, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "no bc in the equation in the pic we see 7 - 8c -6 so -8c not 8c", "session_id": 7405, "sequence_id": 43, "annotations": []}
{"role": "student", "content": "that is making sense", "session_id": 7405, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "yep", "session_id": 7405, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "ok I submitted it and it said it was wrong", "session_id": 7405, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "what did you put", "session_id": 7405, "sequence_id": 47, "annotations": []}
{"role": "student", "content": "so now I have a new question", "session_id": 7405, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "oh wait i realized my mistake im sorry nvm", "session_id": 7405, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "i accidently put -6 in the final equation but that was already distributed sorry", "session_id": 7405, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "sorry", "session_id": 7405, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "its ok", "session_id": 7405, "sequence_id": 52, "annotations": []}
{"role": "student", "content": "can we try another", "session_id": 7405, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "ok so i have to actually go study now im sorry but you can always find another tutor", "session_id": 7405, "sequence_id": 54, "annotations": []}
{"role": "student", "content": "that's ok", "session_id": 7405, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "do you understand this better though even if i ot it wrong, sorrry again", "session_id": 7405, "sequence_id": 56, "annotations": []}
{"role": "student", "content": "yes", "session_id": 7405, "sequence_id": 57, "annotations": []}
{"role": "student", "content": "bye", "session_id": 7405, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "Hi!", "session_id": 10556, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "Hello! I got my test back, and I saw that the \u201cR\u201d means revise, so it\u2019s partially correct. I\u2019d like to know what my mistake was so I can fix it, and then I\u2019d like to try a similar problem with different numbers for extra practice before I retake the test and redo those sections. I am currently on page 2 problem 4. Here\u2019s the link to the PDF: https://example.com/document.pdf", "session_id": 10556, "sequence_id": 1, "annotations": [{"pii_type": "URL", "surrogate": "https://example.com/document.pdf", "start": 344, "end": 376}]}
{"role": "volunteer", "content": "okay iwill check it", "session_id": 10556, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "kk!", "session_id": 10556, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "could u plz wait me a moment? i need to change my classroom:(", "session_id": 10556, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "Yes!", "session_id": 10556, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "I hate school:(", "session_id": 10556, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "Lol", "session_id": 10556, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "so for the first one it's -3+5=2", "session_id": 10556, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "No", "session_id": 10556, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "I know that", "session_id": 10556, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "I am on page 2 problm 4", "session_id": 10556, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "oo sorry", "session_id": 10556, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "its ok", "session_id": 10556, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "is it bc i put 2 instead of 4", "session_id": 10556, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "yes i think so", "session_id": 10556, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "Hi do you know how to do proofs?", "session_id": 11135, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "Hey", "session_id": 11135, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "Yes go ahead", "session_id": 11135, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "Especially parallel lines?", "session_id": 11135, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "Hello, Leo. Can you hear me?", "session_id": 11135, "sequence_id": 4, "annotations": [{"pii_type": "PERSON", "surrogate": "Leo", "start": 7, "end": 10}]}
{"role": "student", "content": "Yes", "session_id": 11135, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "Um, OK, so.", "session_id": 11135, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "uh, all right. Let's look at this question together. We give that line AB is parallel to CD and that angle one is concrete to angle too. What we need to do is prove that AD is parallel to BC.", "session_id": 11135, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "So let's write with Leo, which is statement one", "session_id": 11135, "sequence_id": 8, "annotations": [{"pii_type": "PERSON", "surrogate": "Leo", "start": 20, "end": 23}]}
{"role": "volunteer", "content": "A, B, D, C, and let's write this first.", "session_id": 11135, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "Wait what write what", "session_id": 11135, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 11135, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "of OK if you don't understand, we'll start from the first place, um, let's look at the question together. The question is we're given that line AB is parallel to CD, and that ankle one is concreent to angle II.", "session_id": 11135, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "What we need to do is prove that AD is parallel to BC.", "session_id": 11135, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "So luck you've written the statement one, and the reason is given. Now look at the diagram. since AB is parallel to CD, the angles that are", "session_id": 11135, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "on opposite sides of a transversal are called alternate anterior ankles, that mean that 1 and 3 are alternate interior angles, so they must be they must be congruent.", "session_id": 11135, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "So the statement too, let me write it for you.", "session_id": 11135, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "Where did you write it?", "session_id": 11135, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "And the reason for the first one is given for the 2nd statement, if finds the reason is if lines are parallel, alternate interior angles are congruent. OK, now we note that.", "session_id": 11135, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "uh one equals 2 or 2 from that is given, and we've also found that the reason for the second statement, if angle I equals both of them, and then that's called the transversive property of concurrence, the soul statement 3.", "session_id": 11135, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "Oh, would you like me to write a statement one for you?", "session_id": 11135, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "Didn\u2019t I already write statement 1", "session_id": 11135, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "Um yeah, that's why what I'm saying, like you asked where do you write it?", "session_id": 11135, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "Which one is angle 3", "session_id": 11135, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "Uh, what, uh, which, what are you talking about? Where I was what?", "session_id": 11135, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "Oh I see it now before I didn\u2019t see it", "session_id": 11135, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "But uh um I'm sorry if you uh if you have any questions, ask me or you haven't understood what I've I've been saying. If you want I can start over or I can just keep going from State 3.", "session_id": 11135, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "Which angel is angel 3?", "session_id": 11135, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "which angle is angle 3? OK, good question. So Ankle 3 is the one down here at the bottom right? It's a front line D and C meetss BC.", "session_id": 11135, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "Let me point it out for you.", "session_id": 11135, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "You see how line AB is parallel to a CD and Li B cuts across both of them that makes Ale I and angle 3 alternate interior angles. They're inside the two parallel lines, but on opposite sides of the transversal, so angle I as at the top right.", "session_id": 11135, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "and Ankle 3 is directly below the um bottom right.", "session_id": 11135, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "Think of it like this if you trace down from angle I along the line BC. The next angle you reach at the bottom is angle 3. That's how you remember which one it is.", "session_id": 11135, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "Is angle 3 vertical angle of 2?", "session_id": 11135, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "Um, good questions but a good question, but no. Ankle II is not the vertical angle of angle II.", "session_id": 11135, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "Angle II is down here on the left side between line A AD and uh and BC.", "session_id": 11135, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "Oh", "session_id": 11135, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "this, well, let me show you.", "session_id": 11135, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "Ankle a 3 is on the right side between the lines CD and BC. They both, ah, along the same line AD, but they're on different sides of it, and they're not formed by the same intersecting gang a lines so they can't be vertical angles like you asked.", "session_id": 11135, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "Vertical angles happen when two lines cross each other, and the opposite angles they form are equal, but here angle 2 and angle 3 and from the same intersections, they're formed by two different pairs of lines, so instead of being vertical lines angle 2 and angle 3 are actually alternate interior angles, like I said before, and, and that's why they're conquered in this roof.", "session_id": 11135, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "So the red circle is angle 3?", "session_id": 11135, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "Um, uh, if you don't understand, uh, think of it like this. Vertical angles are across from each other at one intersections, but angle 2 and angle 3 are at different corners of the shape, so they can't be vertical angles.", "session_id": 11135, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "Um no. Uh, that's not a a Ankle II. You asked the angle a 3 if angle 3 vertical angle of 2, I just want to show you that um uh and go to BC angle 2 not 3.", "session_id": 11135, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "Um angle 2 is labeled on the right side tho", "session_id": 11135, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "Oh, sorry. Good observation. Um, uh, in the diagramangle 2 is actually on the right side, not the left. So look, an angle one is at the top left, where lines AB and AD meet. That's a cool one. Ankle 2 is at the bottom right, where lines CD and BC meat and angle ui is right next to it, not next to Angle B. It's at the top right where uh lines A, B, and", "session_id": 11135, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "BC meet", "session_id": 11135, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "Ohh", "session_id": 11135, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "Is that it? You have another problem.", "session_id": 11135, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "or or question", "session_id": 11135, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "No", "session_id": 11135, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "Alright hope I helped", "session_id": 11135, "sequence_id": 50, "annotations": []}
{"role": "student", "content": "Wait so", "session_id": 11135, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "Go on", "session_id": 11135, "sequence_id": 52, "annotations": []}
{"role": "student", "content": "I just say angel 2 is congruent angel 3 and angel 1 is congruent to angel 3", "session_id": 11135, "sequence_id": 53, "annotations": []}
{"role": "student", "content": "Wait no", "session_id": 11135, "sequence_id": 54, "annotations": []}
{"role": "student", "content": "Okay thank you I have to go", "session_id": 11135, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "hi", "session_id": 11508, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "OK", "session_id": 11508, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "share your Qs", "session_id": 11508, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "I am happy to help", "session_id": 11508, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "ok", "session_id": 11508, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "volume?", "session_id": 11508, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 11508, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "I need help finding the LCM", "session_id": 11508, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "Also the the total of the cubic inches", "session_id": 11508, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "LCM or volume", "session_id": 11508, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "both", "session_id": 11508, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "volume is len x width x height", "session_id": 11508, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "width = 3/2", "session_id": 11508, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "1 + (1/2) = (2 + 1)/2", "session_id": 11508, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "good?", "session_id": 11508, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "does that answer your Q?", "session_id": 11508, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "are you there?", "session_id": 11508, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "hello", "session_id": 3296, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "can you help me solve this", "session_id": 3296, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "Hi Alex,  what do you think?", "session_id": 3296, "sequence_id": 2, "annotations": [{"pii_type": "PERSON", "surrogate": "Alex", "start": 3, "end": 7}]}
{"role": "student", "content": "i already know how to solve the frist part which is pluggin in -1 into the eqaution", "session_id": 3296, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "but the other is what im having trouble with", "session_id": 3296, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "Good, what is j(-1)?", "session_id": 3296, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "0", "session_id": 3296, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "Good, if j(-1) = 0, what does that tell you about x+1 being a factor?", "session_id": 3296, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "it is the factor", "session_id": 3296, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "Yes.  Do you  want to verify that?", "session_id": 3296, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "um sure", "session_id": 3296, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "Have you learned synthetic division or polynomial division?", "session_id": 3296, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "yes i did", "session_id": 3296, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "In order to find the remaining zeros, we need to factor the resulting polynomial after dividing by x+1, correct?", "session_id": 3296, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "yes", "session_id": 3296, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "Or find the remaining factors.", "session_id": 3296, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "Which do you prefer, long division or synthetic division?", "session_id": 3296, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "synthetic", "session_id": 3296, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "OK so far?", "session_id": 3296, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "yes", "session_id": 3296, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "What does that tell us?", "session_id": 3296, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "not sure:(", "session_id": 3296, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "Because the remainder is 0, x+1 is indeed a factor.", "session_id": 3296, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "ahhh got it", "session_id": 3296, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "What is the polynomial after factoring out x+1?", "session_id": 3296, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "2?", "session_id": 3296, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "The remaining polynomial is what I have drawn in red, yes?", "session_id": 3296, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "im a little lost", "session_id": 3296, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "oh", "session_id": 3296, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "48 is canceled", "session_id": 3296, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "i see", "session_id": 3296, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "Now we need to find a factor of 2x^3-x^2-35x+16", "session_id": 3296, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "do we do synthetic division again?", "session_id": 3296, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "Yes, but what factor do we test?", "session_id": 3296, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "Do you know how to find all the potential factors?", "session_id": 3296, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "no i dont think so", "session_id": 3296, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "Potential zeroes are the factors of 16/factors of 2, remember?", "session_id": 3296, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "Uhhh", "session_id": 3296, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "demonstration maybe?", "session_id": 3296, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "What are the factors of 16?", "session_id": 3296, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "4", "session_id": 3296, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "All the potential factors", "session_id": 3296, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "1,2,3,4,8 ans 16", "session_id": 3296, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "16,8,4,2,1 plus and minus...", "session_id": 3296, "sequence_id": 43, "annotations": []}
{"role": "student", "content": "not 3", "session_id": 3296, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "yea", "session_id": 3296, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "3 is not a factor of 16, that is correct", "session_id": 3296, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "What about the factors of 2?", "session_id": 3296, "sequence_id": 47, "annotations": []}
{"role": "student", "content": "2", "session_id": 3296, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "1", "session_id": 3296, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "2 and 1, yes", "session_id": 3296, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "So the possible factors of our cubic polynomial are 16,8,4,2,1, plus or minus", "session_id": 3296, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "ok", "session_id": 3296, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "Which one to try first?  Or use DESMOS?", "session_id": 3296, "sequence_id": 53, "annotations": []}
{"role": "student", "content": "16", "session_id": 3296, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "Plus or minus?", "session_id": 3296, "sequence_id": 55, "annotations": []}
{"role": "student", "content": "plus", "session_id": 3296, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "OK?", "session_id": 3296, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "OOPS", "session_id": 3296, "sequence_id": 58, "annotations": []}
{"role": "student", "content": "i have a question if i have to do all the numbers one by one with plus and minuses it will take a long time right", "session_id": 3296, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "Yes it could, but you can stop when you find one zero.", "session_id": 3296, "sequence_id": 60, "annotations": []}
{"role": "student", "content": "but dont i need to find all the zeros?", "session_id": 3296, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "Yes, but once you find one, you will be left with a quadratic (power of 2) which is easier to solve.", "session_id": 3296, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "I made a mistake.  The polynomial after division is at the bottom.", "session_id": 3296, "sequence_id": 63, "annotations": []}
{"role": "student", "content": "is the other division easier for this eqaution", "session_id": 3296, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "Synthetic division is usually quicker.", "session_id": 3296, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "The polynomial after division by x+1 is 2x^3-3x^2-32x+48", "session_id": 3296, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "So unfortunately there are MORE possible zeroes.", "session_id": 3296, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "Have you learned about DESMOS?", "session_id": 3296, "sequence_id": 68, "annotations": []}
{"role": "student", "content": "nope we dont use desmos in class", "session_id": 3296, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "Too bad, that would make this easier.  Maybe next year.", "session_id": 3296, "sequence_id": 70, "annotations": []}
{"role": "student", "content": "hopefully", "session_id": 3296, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "The possible zeroes are the factors of 48/factors of 2", "session_id": 3296, "sequence_id": 72, "annotations": []}
{"role": "student", "content": "but how do you know", "session_id": 3296, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "48 has lots of factors", "session_id": 3296, "sequence_id": 74, "annotations": []}
{"role": "volunteer", "content": "The possible factors of a polynomial are the factors of the constant term divided by the factors of the most significant coefficient.  48 and 2 in this case.  plus and minus", "session_id": 3296, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "Have you learned this?", "session_id": 3296, "sequence_id": 76, "annotations": []}
{"role": "student", "content": "now im not sure", "session_id": 3296, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "If not, how would you find the possible zeroes?", "session_id": 3296, "sequence_id": 78, "annotations": []}
{"role": "student", "content": "umm by using synthetic division again", "session_id": 3296, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "Synthetic division will test a possible zero and determine for sure if it is or isn't a zero.", "session_id": 3296, "sequence_id": 80, "annotations": []}
{"role": "volunteer", "content": "But to identify possible zeroes, you use the factors.", "session_id": 3296, "sequence_id": 81, "annotations": []}
{"role": "student", "content": "oh so we need to find the factors of 48 and 2", "session_id": 3296, "sequence_id": 82, "annotations": []}
{"role": "volunteer", "content": "Yes, do you have the time for this?", "session_id": 3296, "sequence_id": 83, "annotations": []}
{"role": "student", "content": "not really but can you show me for at least 2 factors if you have the time", "session_id": 3296, "sequence_id": 84, "annotations": []}
{"role": "student", "content": "or one", "session_id": 3296, "sequence_id": 85, "annotations": []}
{"role": "volunteer", "content": "Using DESMOS, -4 and +4 are zeroes so x+4 and x-4 are factors.", "session_id": 3296, "sequence_id": 86, "annotations": []}
{"role": "volunteer", "content": "Which one do you want to try using synthetic division?", "session_id": 3296, "sequence_id": 87, "annotations": []}
{"role": "student", "content": "6", "session_id": 3296, "sequence_id": 88, "annotations": []}
{"role": "volunteer", "content": "Your choices are +4 and -4  :)", "session_id": 3296, "sequence_id": 89, "annotations": []}
{"role": "student", "content": "oh", "session_id": 3296, "sequence_id": 90, "annotations": []}
{"role": "student", "content": "4", "session_id": 3296, "sequence_id": 91, "annotations": []}
{"role": "volunteer", "content": "Does the synthetic division make sense?", "session_id": 3296, "sequence_id": 92, "annotations": []}
{"role": "student", "content": "where did you get 8, 20 and -48", "session_id": 3296, "sequence_id": 93, "annotations": []}
{"role": "student", "content": "ahh", "session_id": 3296, "sequence_id": 94, "annotations": []}
{"role": "student", "content": "oh ok it make sense", "session_id": 3296, "sequence_id": 95, "annotations": []}
{"role": "volunteer", "content": "4 times 2 is 8, 5 times 4 is 20, and -13 times 4 is -48", "session_id": 3296, "sequence_id": 96, "annotations": []}
{"role": "volunteer", "content": "-12 times 4 is 48", "session_id": 3296, "sequence_id": 97, "annotations": []}
{"role": "student", "content": "where did you get the bottom numbers", "session_id": 3296, "sequence_id": 98, "annotations": []}
{"role": "volunteer", "content": "Adding the columns", "session_id": 3296, "sequence_id": 99, "annotations": []}
{"role": "volunteer", "content": "bring down the 2, -3 +8 =5 etc", "session_id": 3296, "sequence_id": 100, "annotations": []}
{"role": "student", "content": "ahh", "session_id": 3296, "sequence_id": 101, "annotations": []}
{"role": "student", "content": "ok it make sense", "session_id": 3296, "sequence_id": 102, "annotations": []}
{"role": "volunteer", "content": "2x^2+5x-12 is the remaining polynomial", "session_id": 3296, "sequence_id": 103, "annotations": []}
{"role": "student", "content": "do you think there is an easier way to do this problem on a test", "session_id": 3296, "sequence_id": 104, "annotations": []}
{"role": "volunteer", "content": "Can you find the zeroes?", "session_id": 3296, "sequence_id": 105, "annotations": []}
{"role": "volunteer", "content": "Hopefully your teacher won't give you a problem this long on a test.", "session_id": 3296, "sequence_id": 106, "annotations": []}
{"role": "student", "content": "this is on the review sheet ;(", "session_id": 3296, "sequence_id": 107, "annotations": []}
{"role": "volunteer", "content": "If you can do this problem, you could do any reasonable test problem.", "session_id": 3296, "sequence_id": 108, "annotations": []}
{"role": "student", "content": "then im falling this test:)", "session_id": 3296, "sequence_id": 109, "annotations": []}
{"role": "student", "content": "Im joking", "session_id": 3296, "sequence_id": 110, "annotations": []}
{"role": "volunteer", "content": "Good.  I said reasonable", "session_id": 3296, "sequence_id": 111, "annotations": []}
{"role": "student", "content": "so the zeros for this problem is -4 and 4?", "session_id": 3296, "sequence_id": 112, "annotations": []}
{"role": "volunteer", "content": "and -1 from the start and one more", "session_id": 3296, "sequence_id": 113, "annotations": []}
{"role": "volunteer", "content": "1.5 according to DESMOS", "session_id": 3296, "sequence_id": 114, "annotations": []}
{"role": "volunteer", "content": "-4, -1, 1.5 and 4", "session_id": 3296, "sequence_id": 115, "annotations": []}
{"role": "student", "content": "okk i think i understand", "session_id": 3296, "sequence_id": 116, "annotations": []}
{"role": "student", "content": "tyyy", "session_id": 3296, "sequence_id": 117, "annotations": []}
{"role": "student", "content": "sorry for taking so long", "session_id": 3296, "sequence_id": 118, "annotations": []}
{"role": "volunteer", "content": "You're welcome, don't be sorry this is kind of complicated stuff.", "session_id": 3296, "sequence_id": 119, "annotations": []}
{"role": "student", "content": "have a good night", "session_id": 3296, "sequence_id": 120, "annotations": []}
{"role": "volunteer", "content": "You too Ben", "session_id": 3296, "sequence_id": 121, "annotations": [{"pii_type": "PERSON", "surrogate": "Ben", "start": 8, "end": 11}]}
{"role": "volunteer", "content": "Hi Sarah!", "session_id": 8484, "sequence_id": 0, "annotations": [{"pii_type": "PERSON", "surrogate": "Sarah", "start": 3, "end": 8}]}
{"role": "volunteer", "content": "How can i help", "session_id": 8484, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "I need some clarification on how to do this problem", "session_id": 8484, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "Of course", "session_id": 8484, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "find the distance between the line and the point", "session_id": 8484, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "Could you give me some context on this problem?", "session_id": 8484, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "Oh ok", "session_id": 8484, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "All right lets get started", "session_id": 8484, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "Can you tell me what you know about solving for distance between point and line on the basic level?", "session_id": 8484, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "You need to use distance formula", "session_id": 8484, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "yes that is one of the steps", "session_id": 8484, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "could you write the distance formula on the whiteboard for me", "session_id": 8484, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "That's right!", "session_id": 8484, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "This helps you find the distance between two points", "session_id": 8484, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "Now, there are two ways you can approach this problem", "session_id": 8484, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "You can find the line perpendicular through the point, find the intersection and use the distance formula between the two points", "session_id": 8484, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "the second one uses a formula that calculates the whole thing for you. have you learned that formula yet?", "session_id": 8484, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "but one is a line", "session_id": 8484, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "Yes, it's for point and line", "session_id": 8484, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "ok", "session_id": 8484, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "This is the most useful formula to find the distance between point and line without doing multiple equations:\n\n |ax+by+c| over sqrt of (a^2 + b^2) \n\nwhere ax + by + c = 0 is the equation of the given line, you identify the values of a, b, and c, and you substitute the point into the equation on the numerator.", "session_id": 8484, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "Does that make sense?", "session_id": 8484, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "I put it on the whiteboard", "session_id": 8484, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "y=ok", "session_id": 8484, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "ok", "session_id": 8484, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "who where do you sub", "session_id": 8484, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "x and y?", "session_id": 8484, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "if we convert y=x+1 into the standard form", "session_id": 8484, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "you get x-y+1", "session_id": 8484, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "so what are the values of a, b, and c", "session_id": 8484, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "then you substitute those values into the formula, and then you put 2 and 2 in place of x and y", "session_id": 8484, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "so how do you find a, b and c then", "session_id": 8484, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "well if the formula for standard form is ax+by+c", "session_id": 8484, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "and your equation is x-y+1", "session_id": 8484, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "what are the a b and c values in this case?", "session_id": 8484, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "well is c=1", "session_id": 8484, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "?", "session_id": 8484, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "Yes", "session_id": 8484, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "Absolutely!", "session_id": 8484, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "And what about a and b?", "session_id": 8484, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "wouldn't it just be 2", "session_id": 8484, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "Not quite", "session_id": 8484, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "what multiplied by x gives us x", "session_id": 8484, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "and what multiplied by y gives us -y", "session_id": 8484, "sequence_id": 43, "annotations": []}
{"role": "student", "content": "there is a one next to the x and y variables", "session_id": 8484, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "Yes", "session_id": 8484, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "x=1 and y=-1", "session_id": 8484, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "Sorry, a=1 and b=-1", "session_id": 8484, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "Now can you substitute all these values into the formula?", "session_id": 8484, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "is that right?", "session_id": 8484, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "Yes but remember a=1 and b=-1 so that also applies for the denominator", "session_id": 8484, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "not 2", "session_id": 8484, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "ok", "session_id": 8484, "sequence_id": 52, "annotations": []}
{"role": "student", "content": "is that good", "session_id": 8484, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "Yes~", "session_id": 8484, "sequence_id": 54, "annotations": []}
{"role": "student", "content": "so now what", "session_id": 8484, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "now you substitute x and y as your point", "session_id": 8484, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "2 and 2", "session_id": 8484, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "and then simplify the whole equation", "session_id": 8484, "sequence_id": 58, "annotations": []}
{"role": "student", "content": "i got 0.71", "session_id": 8484, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "Yes that's correct!", "session_id": 8484, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "Just note that even if you leave the answer as sqrt of 2 over 2 it is absolutely correct too", "session_id": 8484, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "Do you have any other questions?", "session_id": 8484, "sequence_id": 62, "annotations": []}
{"role": "student", "content": "ok thanks so much", "session_id": 8484, "sequence_id": 63, "annotations": []}
{"role": "student", "content": "I will save equation for later so helpful", "session_id": 8484, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "You're welcome!", "session_id": 8484, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "If you have any other questions don't hesitate to let me or other tutors know, remember we are available 24/7!", "session_id": 8484, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "Have a wonderful day!", "session_id": 8484, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "Hello!", "session_id": 8517, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "Hi", "session_id": 8517, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "I have a Algebra Test on Thursday and I dont think im going to do well.", "session_id": 8517, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "hmmm, well hopefully I can help you understand some more before Thursday", "session_id": 8517, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "do you have some review problems to post?", "session_id": 8517, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "uhhh I have topics that I dont understand", "session_id": 8517, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "ok, what are they? maybe we can do some examples", "session_id": 8517, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "quadratic formulas", "session_id": 8517, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "and those things that are negative square roots where you get the i, I need help with them and simplifing them in a quaratic formula", "session_id": 8517, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "ok. I am guessing that you know the formula?", "session_id": 8517, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 8517, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "oh and determining the mising square roots", "session_id": 8517, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "not sure what you mean by determining the missing square https://example.comn you give me an example? Also, do you want to try and solve this equation?", "session_id": 8517, "sequence_id": 12, "annotations": [{"pii_type": "URL", "surrogate": "https://example.com", "start": 57, "end": 76}]}
{"role": "student", "content": "yes i will solve it then give you an example", "session_id": 8517, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 8517, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "is that right?", "session_id": 8517, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "its close, but the negative in front of the first 4 should not be there, then you should simplify what you have (it can be reduced)", "session_id": 8517, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "all 3 of your numbers can be reduced by 2", "session_id": 8517, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "that's it", "session_id": 8517, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "yay", "session_id": 8517, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "for your next problem, you probably learned that radical answers come in conjugate pairs", "session_id": 8517, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "see what I wrote? does that make sense?", "session_id": 8517, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "can you explain it  more", "session_id": 8517, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "if we are given that square root of 5 is a root, we automatically know that negative square root of 5 is a root. have you noticed that when you use the quadratic formula, when you get answers with radicals there is always a plus and a minus?", "session_id": 8517, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "oh", "session_id": 8517, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "so the missing root is", "session_id": 8517, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "- square root of 5", "session_id": 8517, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "right", "session_id": 8517, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "good!", "session_id": 8517, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "I am guessing you have to multiply it out? not sure what your teacher expects", "session_id": 8517, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "i have no clue, i took a test on this today but its gonna be on the test on thursday", "session_id": 8517, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "i think mulitply it out to find the degree", "session_id": 8517, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "yes, so go ahead and I will let you know if its right", "session_id": 8517, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "ok", "session_id": 8517, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "is that right so far?", "session_id": 8517, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "the part I underlined is not correct", "session_id": 8517, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "do you know the term FOIL?", "session_id": 8517, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "kinda", "session_id": 8517, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "i use the box method to multiply it out", "session_id": 8517, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "https://example.orgtice when you multiply the terms I marked in red, they will cancel out since they are opposite signs", "session_id": 8517, "sequence_id": 39, "annotations": [{"pii_type": "URL", "surrogate": "https://example.org", "start": 0, "end": 19}]}
{"role": "volunteer", "content": "ok, but what is square root of 25?", "session_id": 8517, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 8517, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "now you get to multiply that stuff", "session_id": 8517, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "good!", "session_id": 8517, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "what is the degree?", "session_id": 8517, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "4 is correct", "session_id": 8517, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "what do you want to work on next?", "session_id": 8517, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "im looking for questions from past tests", "session_id": 8517, "sequence_id": 47, "annotations": []}
{"role": "student", "content": "dividing polynomials", "session_id": 8517, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "and remainder theorm", "session_id": 8517, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "wanna try this one? can you do synthetic division?", "session_id": 8517, "sequence_id": 50, "annotations": []}
{"role": "student", "content": "sort of", "session_id": 8517, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "do i muliply or add", "session_id": 8517, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "bring the 3 down first, then do 2 times 3 and add to the -6", "session_id": 8517, "sequence_id": 53, "annotations": []}
{"role": "student", "content": "help", "session_id": 8517, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "make sense?", "session_id": 8517, "sequence_id": 55, "annotations": []}
{"role": "student", "content": "yes", "session_id": 8517, "sequence_id": 56, "annotations": []}
{"role": "student", "content": "can you give me another one", "session_id": 8517, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "sure", "session_id": 8517, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "hang on a sec", "session_id": 8517, "sequence_id": 59, "annotations": []}
{"role": "student", "content": "okay", "session_id": 8517, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "good", "session_id": 8517, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "so could you say that x+2 is a factor of the original polynomial?", "session_id": 8517, "sequence_id": 62, "annotations": []}
{"role": "student", "content": "no", "session_id": 8517, "sequence_id": 63, "annotations": []}
{"role": "student", "content": "because it has remainder", "session_id": 8517, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "exactly (you basically just used the remainder theorem)", "session_id": 8517, "sequence_id": 65, "annotations": []}
{"role": "student", "content": "okay perfect", "session_id": 8517, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "on that first problem up above, can we say that x-2 is a factor?", "session_id": 8517, "sequence_id": 67, "annotations": []}
{"role": "student", "content": "yes", "session_id": 8517, "sequence_id": 68, "annotations": []}
{"role": "student", "content": "because no remainder", "session_id": 8517, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "right. and then we can also say that 2 is a root or zero of that polynomial since x-2 was a factor", "session_id": 8517, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "that's basically the \"factor theorem\"", "session_id": 8517, "sequence_id": 71, "annotations": []}
{"role": "student", "content": "okay. i understanfd", "session_id": 8517, "sequence_id": 72, "annotations": []}
{"role": "student", "content": "understand", "session_id": 8517, "sequence_id": 73, "annotations": []}
{"role": "student", "content": "what about how do you determine whether or not its positve by the degree and if the function is even or odd", "session_id": 8517, "sequence_id": 74, "annotations": []}
{"role": "volunteer", "content": "not sure what you mean by the first part of your question (positive by degree?). but to tell if a function is even or odd you have to find f(-x) and compare to your function to see if you get the same thing or the opposite. I will do an example on the board.", "session_id": 8517, "sequence_id": 75, "annotations": []}
{"role": "student", "content": "okay", "session_id": 8517, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "see how we got the opposite of f(x) when we found f(-x)?", "session_id": 8517, "sequence_id": 77, "annotations": []}
{"role": "student", "content": "yes", "session_id": 8517, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "this means we have an odd function", "session_id": 8517, "sequence_id": 79, "annotations": []}
{"role": "student", "content": "okay", "session_id": 8517, "sequence_id": 80, "annotations": []}
{"role": "volunteer", "content": "here is example of even", "session_id": 8517, "sequence_id": 81, "annotations": []}
{"role": "volunteer", "content": "does that make sense?", "session_id": 8517, "sequence_id": 82, "annotations": []}
{"role": "student", "content": "yes", "session_id": 8517, "sequence_id": 83, "annotations": []}
{"role": "volunteer", "content": "so you have to remember to replace x with -x in your function, work it out, then compare with the original.", "session_id": 8517, "sequence_id": 84, "annotations": []}
{"role": "student", "content": "okay i got it", "session_id": 8517, "sequence_id": 85, "annotations": []}
{"role": "volunteer", "content": "as far as \"positive\" and degree, are you referring to end behavior of a graph?", "session_id": 8517, "sequence_id": 86, "annotations": []}
{"role": "student", "content": "yes!", "session_id": 8517, "sequence_id": 87, "annotations": []}
{"role": "volunteer", "content": "can i clear the board?", "session_id": 8517, "sequence_id": 88, "annotations": []}
{"role": "student", "content": "yes", "session_id": 8517, "sequence_id": 89, "annotations": []}
{"role": "volunteer", "content": "can you tell me the degree of this polynomial and whether the lead coefficient is pos or neg?", "session_id": 8517, "sequence_id": 90, "annotations": []}
{"role": "student", "content": "degree is 4", "session_id": 8517, "sequence_id": 91, "annotations": []}
{"role": "student", "content": "leading is pos", "session_id": 8517, "sequence_id": 92, "annotations": []}
{"role": "volunteer", "content": "yes. so we can just focus on the x^4 part and think about what happens to the y values if we plug in large negative numbers....will the y's be positive or negative?", "session_id": 8517, "sequence_id": 93, "annotations": []}
{"role": "volunteer", "content": "yes, and if you plug in large positive values?", "session_id": 8517, "sequence_id": 94, "annotations": []}
{"role": "volunteer", "content": "I think you are saying positive infinity for both, right?", "session_id": 8517, "sequence_id": 95, "annotations": []}
{"role": "student", "content": "yes", "session_id": 8517, "sequence_id": 96, "annotations": []}
{"role": "volunteer", "content": "ok. so notice when we have positive lead coefficient and even degree, the left and right behaviors are both going to pos infinity", "session_id": 8517, "sequence_id": 97, "annotations": []}
{"role": "volunteer", "content": "if we had a negative lead coefficient, how would that affect the end behavior?", "session_id": 8517, "sequence_id": 98, "annotations": []}
{"role": "student", "content": "it would make it negative infinty", "session_id": 8517, "sequence_id": 99, "annotations": []}
{"role": "volunteer", "content": "right", "session_id": 8517, "sequence_id": 100, "annotations": []}
{"role": "volunteer", "content": "what do you think end behavior is for this one", "session_id": 8517, "sequence_id": 101, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 8517, "sequence_id": 102, "annotations": []}
{"role": "volunteer", "content": "odd degree always has opposite behavios", "session_id": 8517, "sequence_id": 103, "annotations": []}
{"role": "volunteer", "content": "r", "session_id": 8517, "sequence_id": 104, "annotations": []}
{"role": "student", "content": "yes", "session_id": 8517, "sequence_id": 105, "annotations": []}
{"role": "volunteer", "content": "I have a few more minutes...what else do you want to ask?", "session_id": 8517, "sequence_id": 106, "annotations": []}
{"role": "student", "content": "i think thats everything thank you so much for helping me!", "session_id": 8517, "sequence_id": 107, "annotations": []}
{"role": "volunteer", "content": "ok, you are welcome! good luck on Thursday!", "session_id": 8517, "sequence_id": 108, "annotations": []}
{"role": "student", "content": "thank you!", "session_id": 8517, "sequence_id": 109, "annotations": []}
{"role": "student", "content": "have a good night", "session_id": 8517, "sequence_id": 110, "annotations": []}
{"role": "volunteer", "content": "you too", "session_id": 8517, "sequence_id": 111, "annotations": []}
{"role": "student", "content": "Hello! I would like some help on my assignment please", "session_id": 5993, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "hi Lily, how can i help?", "session_id": 5993, "sequence_id": 1, "annotations": [{"pii_type": "PERSON", "surrogate": "Lily", "start": 3, "end": 7}]}
{"role": "student", "content": "I would like help on my ixl assignment please", "session_id": 5993, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "statement 3 and 4 have a lot like the choices and I couldn't screenshot it", "session_id": 5993, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "but let me do it in pieces", "session_id": 5993, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "OK, so you want to start with #3?", "session_id": 5993, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "I'm not sure what your available options are but...", "session_id": 5993, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "let me put them on the board", "session_id": 5993, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "those are the options", "session_id": 5993, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "and those are the same for statement 4 too", "session_id": 5993, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "i sort of see it...  for #3 I think you want something like SSS", "session_id": 5993, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "sorry Mr. Smith gotta go, have a nice day!", "session_id": 5993, "sequence_id": 11, "annotations": [{"pii_type": "PERSON", "surrogate": "Mr. Smith", "start": 6, "end": 15}]}
{"role": "volunteer", "content": "its the vertical angle theorem", "session_id": 5993, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "Hey", "session_id": 6440, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "Hi", "session_id": 6440, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "I just want to check an answer real quick", "session_id": 6440, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "Sure", "session_id": 6440, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "I got 21", "session_id": 6440, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "Thats perfect. Do you have questions on how to get that or did you just want to confirm the answer?", "session_id": 6440, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "Yea I'm kinda confused on how I got that when I don't really understand it much", "session_id": 6440, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "I assume the confusing part is writing out the percentage as a fraction.", "session_id": 6440, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "Yea", "session_id": 6440, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "I meant decimal... but percent is written as \"hundredths\". for example 37% = 37 hundredths which is 0.37 The 1/2 adds the confusion probably", "session_id": 6440, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "With the 1/2, we know we are halfway between 0.37 (37%) and 0.38 (38%)", "session_id": 6440, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "So it's 0.5", "session_id": 6440, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "Since percentages are in \"hundredths\", its actually half a \"hundredth\" with is 0.005 (1 hundredth is 0.01, so half is 0.005)", "session_id": 6440, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "Ohh so that's why the 5 was in the 0.001 spot", "session_id": 6440, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "Yep, a little confusing, but each percent = 0.01 in decimal, so a half percent is 0.005", "session_id": 6440, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "That makes more sense now", "session_id": 6440, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "Did you want to try another similar one, or do you have other questions?", "session_id": 6440, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "No I think I'm good on the questions", "session_id": 6440, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "And thanks for showing me/explaining it better", "session_id": 6440, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "No problem, hope it helped. You got this.", "session_id": 6440, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "Thank you", "session_id": 6440, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "Have a wonderful day!", "session_id": 6440, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "You too", "session_id": 6440, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "Howdy !", "session_id": 10390, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "hi", "session_id": 10390, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "So you've some math stuff to work on?", "session_id": 10390, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "yea", "session_id": 10390, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "my internet might be rlly slow tho", "session_id": 10390, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "Is it something you can type in this dialog box?", "session_id": 10390, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "yea ill put it on the board", "session_id": 10390, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "Okey dokey.", "session_id": 10390, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "So you are to graph this line?", "session_id": 10390, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "yea", "session_id": 10390, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "So there are a couple ways to do this...", "session_id": 10390, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "1. Find two points on the line and then \"connect the dots\"", "session_id": 10390, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "2. Use the point-slope format of y = mx + b and sketch the line based on the values of m and b.", "session_id": 10390, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "Which way you wanna do this?", "session_id": 10390, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "i think it would be easier to find the two points :)", "session_id": 10390, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "Yup, that's what I normally do (but sometimes the teacher wants something else).", "session_id": 10390, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "Okay, so let's write a little table on the board like this:", "session_id": 10390, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "So the idea here is to pick a few points for x (values of x to be precise).", "session_id": 10390, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "Then we plug those into that equation and find the resulting y value.", "session_id": 10390, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "And we'll have our first point (x,y) to plot.", "session_id": 10390, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "So you can pick any value of x but I would keep the number less than 10 since that's all the paper we have on the graph.", "session_id": 10390, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "How about x = 0 ???", "session_id": 10390, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "oki", "session_id": 10390, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "So when you plug in 0 for x, what do you get for y ?", "session_id": 10390, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "would it be based on the y = 9/4x - 1 or just in general?", "session_id": 10390, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "Yes, it's based on that equation.", "session_id": 10390, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "oki", "session_id": 10390, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "You plug in zero for x like this...", "session_id": 10390, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "oki", "session_id": 10390, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "So we've got our first point - yippee !", "session_id": 10390, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "I'm gonna plot it in red.", "session_id": 10390, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "oki", "session_id": 10390, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "Okay so far?", "session_id": 10390, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "yea", "session_id": 10390, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "Now let's pick another value of x (again between -10 and +10).", "session_id": 10390, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "I'd recommend 4 - is that okay?", "session_id": 10390, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "yea", "session_id": 10390, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "You'll see why in a minute.  Some of the choices of x will make our lives easier.", "session_id": 10390, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "oki", "session_id": 10390, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "Yippee !!!", "session_id": 10390, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "Point # 2", "session_id": 10390, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "So now I'll connect the dots and we're DUN.", "session_id": 10390, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "oki :)", "session_id": 10390, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "Something like that.", "session_id": 10390, "sequence_id": 43, "annotations": []}
{"role": "student", "content": "alr", "session_id": 10390, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "Anything else for today or are you all set?", "session_id": 10390, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "yea i have a few more graphing ones", "session_id": 10390, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "Can I erase?", "session_id": 10390, "sequence_id": 47, "annotations": []}
{"role": "student", "content": "yea", "session_id": 10390, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "So connect the dot method again?", "session_id": 10390, "sequence_id": 49, "annotations": []}
{"role": "student", "content": "yea", "session_id": 10390, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "So I'm just gonna plug thru it, same as last time.", "session_id": 10390, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "Hollar if you get confused but I don't think you will.", "session_id": 10390, "sequence_id": 52, "annotations": []}
{"role": "student", "content": "when we do this should we always start with zero ?", "session_id": 10390, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "I'd recommend that as it's usually an easy choice (again, let's make our lives easy).", "session_id": 10390, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "And the second guess for x on this one is gonna be 4 again just because we have a fraction in front of the x term with a 4 in the denominator.", "session_id": 10390, "sequence_id": 55, "annotations": []}
{"role": "student", "content": "oki\ud83d\udc4d", "session_id": 10390, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "Yeah, something like that.", "session_id": 10390, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "Still making sense?", "session_id": 10390, "sequence_id": 58, "annotations": []}
{"role": "student", "content": "yea", "session_id": 10390, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "You wanna try the next one, or are you done for now?", "session_id": 10390, "sequence_id": 60, "annotations": []}
{"role": "student", "content": "i have 2 more", "session_id": 10390, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "So make your table and find your points.", "session_id": 10390, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "Again, I'd recommend to use x = 0 and also x = 4", "session_id": 10390, "sequence_id": 63, "annotations": []}
{"role": "student", "content": "oki\ud83d\udc4d", "session_id": 10390, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "I have the hardest time writing on this whiteboard too - it's like writing with a crayon stuck between your toes.", "session_id": 10390, "sequence_id": 65, "annotations": []}
{"role": "student", "content": "ik", "session_id": 10390, "sequence_id": 66, "annotations": []}
{"role": "student", "content": "it rlly sucks :(", "session_id": 10390, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "Perfect.", "session_id": 10390, "sequence_id": 68, "annotations": []}
{"role": "student", "content": "so the 4's cross cancel right ?", "session_id": 10390, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "Yep.", "session_id": 10390, "sequence_id": 70, "annotations": []}
{"role": "student", "content": "so then i do -11 + 2", "session_id": 10390, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "Yep.", "session_id": 10390, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "Perfect.", "session_id": 10390, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "You're crushing it.", "session_id": 10390, "sequence_id": 74, "annotations": []}
{"role": "student", "content": "\ud83d\udc4d", "session_id": 10390, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "Well done !!!", "session_id": 10390, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "Wanna do the last one?", "session_id": 10390, "sequence_id": 77, "annotations": []}
{"role": "student", "content": "sure", "session_id": 10390, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": ":-)", "session_id": 10390, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": ":-)", "session_id": 10390, "sequence_id": 80, "annotations": []}
{"role": "volunteer", "content": "Perfect !!!", "session_id": 10390, "sequence_id": 81, "annotations": []}
{"role": "student", "content": "\ud83d\udc4d", "session_id": 10390, "sequence_id": 82, "annotations": []}
{"role": "volunteer", "content": "Now you're probably bored with these...", "session_id": 10390, "sequence_id": 83, "annotations": []}
{"role": "student", "content": "not rlly i just wanted to finish these ones on my math book :)", "session_id": 10390, "sequence_id": 84, "annotations": []}
{"role": "volunteer", "content": "Well you're doing great.", "session_id": 10390, "sequence_id": 85, "annotations": []}
{"role": "volunteer", "content": "Best of luck to you...", "session_id": 10390, "sequence_id": 86, "annotations": []}
{"role": "student", "content": "u too :)", "session_id": 10390, "sequence_id": 87, "annotations": []}
{"role": "volunteer", "content": "Take care.", "session_id": 10390, "sequence_id": 88, "annotations": []}
{"role": "student", "content": "Hi Liam", "session_id": 10571, "sequence_id": 0, "annotations": [{"pii_type": "PERSON", "surrogate": "Liam", "start": 3, "end": 7}]}
{"role": "volunteer", "content": "Hi", "session_id": 10571, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "What do you need help with", "session_id": 10571, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "can you help me what is on the whiteboard", "session_id": 10571, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "Which one", "session_id": 10571, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "all of them we are plugging them in", "session_id": 10571, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "Okay", "session_id": 10571, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "where should we start", "session_id": 10571, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "you tell me", "session_id": 10571, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "okay lets start here", "session_id": 10571, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "perfect", "session_id": 10571, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "what do you think this is", "session_id": 10571, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "linear change", "session_id": 10571, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "Correct", "session_id": 10571, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "yessss", "session_id": 10571, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "ok anything else i need to add", "session_id": 10571, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "Try this one", "session_id": 10571, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "Actually your first one is not linear", "session_id": 10571, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "It it exponential", "session_id": 10571, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "sorry about that", "session_id": 10571, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "yes i was going to say", "session_id": 10571, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "What about the one i just underlined", "session_id": 10571, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "i just said my answer", "session_id": 10571, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "which is?", "session_id": 10571, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "the oen with arrow", "session_id": 10571, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "The graph", "session_id": 10571, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "oh ok", "session_id": 10571, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "The table shows that every month it is increasing by 25, not 50", "session_id": 10571, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "so this is correct", "session_id": 10571, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "Not quite", "session_id": 10571, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "listen you have to help i can't keep guessing meaning that you have to at least show me", "session_id": 10571, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "Yes, I am wondering your thought process so I can help you", "session_id": 10571, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "yes not going to keep guessing as i stated", "session_id": 10571, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "Okay highlight, the question you would like to solve and we can go through it", "session_id": 10571, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "nvm", "session_id": 10571, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "Hi Sarah!", "session_id": 11098, "sequence_id": 0, "annotations": [{"pii_type": "PERSON", "surrogate": "Sarah", "start": 3, "end": 8}]}
{"role": "volunteer", "content": "What do you need help with?", "session_id": 11098, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "hello", "session_id": 11098, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "can u see board", "session_id": 11098, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "Yes!", "session_id": 11098, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "Do you need help with the first question?", "session_id": 11098, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "yes all", "session_id": 11098, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "i got c", "session_id": 11098, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "for first one", "session_id": 11098, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "Yes! There is also another one that can be right.", "session_id": 11098, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "Do you know which one?", "session_id": 11098, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "hmmmm no", "session_id": 11098, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "Not sure", "session_id": 11098, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "Ok, so the term X 1 and X 2 can be used interchangeably as long as they stay with their corresponding Y value", "session_id": 11098, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "Ok", "session_id": 11098, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "Let's go through them in order", "session_id": 11098, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "For A", "session_id": 11098, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "ok", "session_id": 11098, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "Do you know what the two points would be for A?", "session_id": 11098, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "like (x,y)", "session_id": 11098, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "like (x1, y1) and then (x2,y2)", "session_id": 11098, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "well for x 14 y 5", "session_id": 11098, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "-7 9", "session_id": 11098, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "x", "session_id": 11098, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "Yep! For A, the first pair would be (-7,9) and the second pair would be (-14,-5)", "session_id": 11098, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "It doesn't matter if the order doesn't match the order they give you as long as they are the same two points", "session_id": 11098, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "So that would also be correct", "session_id": 11098, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "Ohh ok", "session_id": 11098, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "Those are your two correct choices for the first question", "session_id": 11098, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "Does that make sense?", "session_id": 11098, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "Yes kinda so my answer c was correct", "session_id": 11098, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "C and A", "session_id": 11098, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "because A is the same thing as C, but the order of the points were switched", "session_id": 11098, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "ohhhhhhh", "session_id": 11098, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "C is (-14, -5) and then (-7,9)", "session_id": 11098, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "A is the same thing but it is (-7,9) and then (-14,-5)", "session_id": 11098, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "does that make sense?", "session_id": 11098, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "yes", "session_id": 11098, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "for theslope", "session_id": 11098, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "we do y2-y1", "session_id": 11098, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "x2-x1", "session_id": 11098, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "right", "session_id": 11098, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "Yep!", "session_id": 11098, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "And you divide y2-y1 by x2 -x1", "session_id": 11098, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "Let me know what you get!", "session_id": 11098, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "ok", "session_id": 11098, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "i got -12/-5", "session_id": 11098, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "am i wrong", "session_id": 11098, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "What did you plug in?", "session_id": 11098, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "-7-5 and 9-14", "session_id": 11098, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "Okay so for your x and y values that you are plugging in, let's use the answer we got for the last question", "session_id": 11098, "sequence_id": 50, "annotations": []}
{"role": "student", "content": "ok", "session_id": 11098, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "So using the x1 and y1 and x2 and y2 from C", "session_id": 11098, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "let me know what you get", "session_id": 11098, "sequence_id": 53, "annotations": []}
{"role": "student", "content": "ohh i was just using it as thr pojtns", "session_id": 11098, "sequence_id": 54, "annotations": []}
{"role": "student", "content": "abouve", "session_id": 11098, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "You can use the points above too! This just simplifies the process cause you already found out what you are plugging in", "session_id": 11098, "sequence_id": 56, "annotations": []}
{"role": "student", "content": "qair si now ut 9-5", "session_id": 11098, "sequence_id": 57, "annotations": []}
{"role": "student", "content": "and -7-14", "session_id": 11098, "sequence_id": 58, "annotations": []}
{"role": "student", "content": "right", "session_id": 11098, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "Because you have to do y2 - y1", "session_id": 11098, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "9 - (-5)", "session_id": 11098, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "would be 9+5", "session_id": 11098, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "Cause the negatives cancel", "session_id": 11098, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "does that make sense?", "session_id": 11098, "sequence_id": 64, "annotations": []}
{"role": "student", "content": "so 14/-21", "session_id": 11098, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "The same thing happens to the bottom so it would -7 - (-14)", "session_id": 11098, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "does that make sense?", "session_id": 11098, "sequence_id": 67, "annotations": []}
{"role": "student", "content": "yes dont leave though", "session_id": 11098, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "I won't!", "session_id": 11098, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "What did you get for your slope?", "session_id": 11098, "sequence_id": 70, "annotations": []}
{"role": "student", "content": "i got 7", "session_id": 11098, "sequence_id": 71, "annotations": []}
{"role": "student", "content": "so 14/7", "session_id": 11098, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "Yep!", "session_id": 11098, "sequence_id": 73, "annotations": []}
{"role": "student", "content": "ohhh", "session_id": 11098, "sequence_id": 74, "annotations": []}
{"role": "student", "content": "i know your good at this just wanna make sure cause my homeowrk will make me restart if it wrong but i get it", "session_id": 11098, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "No, you are okay! I understand", "session_id": 11098, "sequence_id": 76, "annotations": []}
{"role": "student", "content": "ok", "session_id": 11098, "sequence_id": 77, "annotations": []}
{"role": "student", "content": "the line goona rise", "session_id": 11098, "sequence_id": 78, "annotations": []}
{"role": "student", "content": "left to right", "session_id": 11098, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "Yes!", "session_id": 11098, "sequence_id": 80, "annotations": []}
{"role": "student", "content": "should i simplfiy it", "session_id": 11098, "sequence_id": 81, "annotations": []}
{"role": "student", "content": "so 2", "session_id": 11098, "sequence_id": 82, "annotations": []}
{"role": "student", "content": "instead of 14/7", "session_id": 11098, "sequence_id": 83, "annotations": []}
{"role": "volunteer", "content": "Yeah, I would simplify just to be safe", "session_id": 11098, "sequence_id": 84, "annotations": []}
{"role": "student", "content": "ok", "session_id": 11098, "sequence_id": 85, "annotations": []}
{"role": "student", "content": "i will be right back gotta go", "session_id": 11098, "sequence_id": 86, "annotations": []}
{"role": "student", "content": "if u loeave it ok im gonna request again can u try to click e", "session_id": 11098, "sequence_id": 87, "annotations": []}
{"role": "volunteer", "content": "Okay! I will try to stay on, but if I leave I will try and click you again", "session_id": 11098, "sequence_id": 88, "annotations": []}
{"role": "volunteer", "content": "Hey, I have to leave in fifteen minutes", "session_id": 11098, "sequence_id": 89, "annotations": []}
{"role": "volunteer", "content": "Just like a quick heads up", "session_id": 11098, "sequence_id": 90, "annotations": []}
{"role": "student", "content": "ok im back", "session_id": 11098, "sequence_id": 91, "annotations": []}
{"role": "volunteer", "content": "Ok! Is there another question you need help with?", "session_id": 11098, "sequence_id": 92, "annotations": []}
{"role": "student", "content": "thus", "session_id": 11098, "sequence_id": 93, "annotations": []}
{"role": "volunteer", "content": "Okay, do you know slope intercept form?", "session_id": 11098, "sequence_id": 94, "annotations": []}
{"role": "student", "content": "isnt it y=5/1x plus 10", "session_id": 11098, "sequence_id": 95, "annotations": []}
{"role": "student", "content": "or no", "session_id": 11098, "sequence_id": 96, "annotations": []}
{"role": "volunteer", "content": "Slope intercept form is y=mx+b and you are on the right track for the question", "session_id": 11098, "sequence_id": 97, "annotations": []}
{"role": "student", "content": "ok", "session_id": 11098, "sequence_id": 98, "annotations": []}
{"role": "volunteer", "content": "it would be y= (-10-x)/5", "session_id": 11098, "sequence_id": 99, "annotations": []}
{"role": "volunteer", "content": "because you have to isolate the y so you would subtract the x", "session_id": 11098, "sequence_id": 100, "annotations": []}
{"role": "volunteer", "content": "over to the other side", "session_id": 11098, "sequence_id": 101, "annotations": []}
{"role": "student", "content": "ohhhh I see", "session_id": 11098, "sequence_id": 102, "annotations": []}
{"role": "volunteer", "content": "does that make sense? I can like write it out if that would make more sense", "session_id": 11098, "sequence_id": 103, "annotations": []}
{"role": "student", "content": "like dis", "session_id": 11098, "sequence_id": 104, "annotations": []}
{"role": "student", "content": "ohhh", "session_id": 11098, "sequence_id": 105, "annotations": []}
{"role": "volunteer", "content": "and then you would simplify", "session_id": 11098, "sequence_id": 106, "annotations": []}
{"role": "student", "content": "i got -11/", "session_id": 11098, "sequence_id": 107, "annotations": []}
{"role": "student", "content": "5", "session_id": 11098, "sequence_id": 108, "annotations": []}
{"role": "volunteer", "content": "wait what", "session_id": 11098, "sequence_id": 109, "annotations": []}
{"role": "student", "content": "i tgought u subtract the -10-x", "session_id": 11098, "sequence_id": 110, "annotations": []}
{"role": "student", "content": "then over 5", "session_id": 11098, "sequence_id": 111, "annotations": []}
{"role": "volunteer", "content": "Ohh I see what you are doing", "session_id": 11098, "sequence_id": 112, "annotations": []}
{"role": "volunteer", "content": "y= (-10-x )/5 is slope intercept form", "session_id": 11098, "sequence_id": 113, "annotations": []}
{"role": "student", "content": "ohhh", "session_id": 11098, "sequence_id": 114, "annotations": []}
{"role": "volunteer", "content": "you can also write x/5 as 1/5 x", "session_id": 11098, "sequence_id": 115, "annotations": []}
{"role": "student", "content": "ohhh i didnt", "session_id": 11098, "sequence_id": 116, "annotations": []}
{"role": "volunteer", "content": "and slope intercept form is y=mx +b", "session_id": 11098, "sequence_id": 117, "annotations": []}
{"role": "volunteer", "content": "and in that m is your slope", "session_id": 11098, "sequence_id": 118, "annotations": []}
{"role": "volunteer", "content": "so the number thats with the x", "session_id": 11098, "sequence_id": 119, "annotations": []}
{"role": "volunteer", "content": "is your slope", "session_id": 11098, "sequence_id": 120, "annotations": []}
{"role": "student", "content": "ohhh", "session_id": 11098, "sequence_id": 121, "annotations": []}
{"role": "volunteer", "content": "does that make sense?", "session_id": 11098, "sequence_id": 122, "annotations": []}
{"role": "student", "content": "yea u divided -10/5", "session_id": 11098, "sequence_id": 123, "annotations": []}
{"role": "student", "content": "so -1/5x -2", "session_id": 11098, "sequence_id": 124, "annotations": []}
{"role": "student", "content": "y-=-1/5x-2", "session_id": 11098, "sequence_id": 125, "annotations": []}
{"role": "student", "content": "or plus 2", "session_id": 11098, "sequence_id": 126, "annotations": []}
{"role": "volunteer", "content": "yeah but the slope is just the m value", "session_id": 11098, "sequence_id": 127, "annotations": []}
{"role": "student", "content": "ohhh", "session_id": 11098, "sequence_id": 128, "annotations": []}
{"role": "volunteer", "content": "so if the equation is y = mx + b", "session_id": 11098, "sequence_id": 129, "annotations": []}
{"role": "volunteer", "content": "do you know what m would be in this case?", "session_id": 11098, "sequence_id": 130, "annotations": []}
{"role": "volunteer", "content": "what is attached to your x?", "session_id": 11098, "sequence_id": 131, "annotations": []}
{"role": "student", "content": "the the -2", "session_id": 11098, "sequence_id": 132, "annotations": []}
{"role": "volunteer", "content": "try again, what is like right next to the x in the equation", "session_id": 11098, "sequence_id": 133, "annotations": []}
{"role": "volunteer", "content": "yep!", "session_id": 11098, "sequence_id": 134, "annotations": []}
{"role": "volunteer", "content": "That's your answer", "session_id": 11098, "sequence_id": 135, "annotations": []}
{"role": "volunteer", "content": "does that make sense?", "session_id": 11098, "sequence_id": 136, "annotations": []}
{"role": "student", "content": "yes ima graph it", "session_id": 11098, "sequence_id": 137, "annotations": []}
{"role": "student", "content": "and then the -2 is the x right", "session_id": 11098, "sequence_id": 138, "annotations": []}
{"role": "student", "content": "i mean y", "session_id": 11098, "sequence_id": 139, "annotations": []}
{"role": "volunteer", "content": "that's your y intercept", "session_id": 11098, "sequence_id": 140, "annotations": []}
{"role": "volunteer", "content": "so when x = 0", "session_id": 11098, "sequence_id": 141, "annotations": []}
{"role": "volunteer", "content": "your y = -2", "session_id": 11098, "sequence_id": 142, "annotations": []}
{"role": "volunteer", "content": "If you ever need to find slope, isolate the y value so you can get it in slope intercept form and then the number in front of your x would be your slope", "session_id": 11098, "sequence_id": 143, "annotations": []}
{"role": "volunteer", "content": "and the number behind it would be your y intercept", "session_id": 11098, "sequence_id": 144, "annotations": []}
{"role": "student", "content": "ok", "session_id": 11098, "sequence_id": 145, "annotations": []}
{"role": "volunteer", "content": "does that make sense?", "session_id": 11098, "sequence_id": 146, "annotations": []}
{"role": "student", "content": "do i just put the -1.5 for slope or the  whole answerr", "session_id": 11098, "sequence_id": 147, "annotations": []}
{"role": "student", "content": "yes", "session_id": 11098, "sequence_id": 148, "annotations": []}
{"role": "volunteer", "content": "just -1.5", "session_id": 11098, "sequence_id": 149, "annotations": []}
{"role": "volunteer", "content": "hey heads up I have to leave in 5 minutes", "session_id": 11098, "sequence_id": 150, "annotations": []}
{"role": "student", "content": "ok", "session_id": 11098, "sequence_id": 151, "annotations": []}
{"role": "student", "content": "is my graph right", "session_id": 11098, "sequence_id": 152, "annotations": []}
{"role": "student", "content": "ohhh waiy", "session_id": 11098, "sequence_id": 153, "annotations": []}
{"role": "volunteer", "content": "this is because it intersects the y axis at -2", "session_id": 11098, "sequence_id": 154, "annotations": []}
{"role": "volunteer", "content": "that's what the -2 is for", "session_id": 11098, "sequence_id": 155, "annotations": []}
{"role": "volunteer", "content": "and the slope goes down 1 and over 5", "session_id": 11098, "sequence_id": 156, "annotations": []}
{"role": "student", "content": "yea i see whe i msedd up", "session_id": 11098, "sequence_id": 157, "annotations": []}
{"role": "volunteer", "content": "yep! you got it", "session_id": 11098, "sequence_id": 158, "annotations": []}
{"role": "student", "content": "ok", "session_id": 11098, "sequence_id": 159, "annotations": []}
{"role": "volunteer", "content": "okay so if x+7 =0", "session_id": 11098, "sequence_id": 160, "annotations": []}
{"role": "volunteer", "content": "what does x =?", "session_id": 11098, "sequence_id": 161, "annotations": []}
{"role": "student", "content": "ummm 7", "session_id": 11098, "sequence_id": 162, "annotations": []}
{"role": "student", "content": "i think", "session_id": 11098, "sequence_id": 163, "annotations": []}
{"role": "student", "content": "we subtract right", "session_id": 11098, "sequence_id": 164, "annotations": []}
{"role": "volunteer", "content": "yep", "session_id": 11098, "sequence_id": 165, "annotations": []}
{"role": "volunteer", "content": "close, remember your signs", "session_id": 11098, "sequence_id": 166, "annotations": []}
{"role": "volunteer", "content": "it wouldn't be +7", "session_id": 11098, "sequence_id": 167, "annotations": []}
{"role": "volunteer", "content": "but instead...", "session_id": 11098, "sequence_id": 168, "annotations": []}
{"role": "student", "content": "-7", "session_id": 11098, "sequence_id": 169, "annotations": []}
{"role": "volunteer", "content": "right!", "session_id": 11098, "sequence_id": 170, "annotations": []}
{"role": "student", "content": "(-7,0)", "session_id": 11098, "sequence_id": 171, "annotations": []}
{"role": "volunteer", "content": "yep", "session_id": 11098, "sequence_id": 172, "annotations": []}
{"role": "student", "content": "here no slope so udnefined", "session_id": 11098, "sequence_id": 173, "annotations": []}
{"role": "student", "content": "then how do we make one on graphb'", "session_id": 11098, "sequence_id": 174, "annotations": []}
{"role": "student", "content": "graph", "session_id": 11098, "sequence_id": 175, "annotations": []}
{"role": "volunteer", "content": "exactly", "session_id": 11098, "sequence_id": 176, "annotations": []}
{"role": "volunteer", "content": "for the graph it would be a straight line", "session_id": 11098, "sequence_id": 177, "annotations": []}
{"role": "volunteer", "content": "cause no matter what y is x will always be 7", "session_id": 11098, "sequence_id": 178, "annotations": []}
{"role": "volunteer", "content": "-7", "session_id": 11098, "sequence_id": 179, "annotations": []}
{"role": "volunteer", "content": "does that make sense?", "session_id": 11098, "sequence_id": 180, "annotations": []}
{"role": "student", "content": "yes", "session_id": 11098, "sequence_id": 181, "annotations": []}
{"role": "student", "content": "like  this", "session_id": 11098, "sequence_id": 182, "annotations": []}
{"role": "volunteer", "content": "Yepp!", "session_id": 11098, "sequence_id": 183, "annotations": []}
{"role": "volunteer", "content": "I hope that helped, I have to go now!", "session_id": 11098, "sequence_id": 184, "annotations": []}
{"role": "student", "content": "can i requst you again", "session_id": 11098, "sequence_id": 185, "annotations": []}
{"role": "volunteer", "content": "Have a great day/night!", "session_id": 11098, "sequence_id": 186, "annotations": []}
{"role": "volunteer", "content": "Sure, if I am free", "session_id": 11098, "sequence_id": 187, "annotations": []}
{"role": "volunteer", "content": "I will definitely help out", "session_id": 11098, "sequence_id": 188, "annotations": []}
{"role": "volunteer", "content": "I hope that helped", "session_id": 11098, "sequence_id": 189, "annotations": []}
{"role": "volunteer", "content": "Hey, I'm Sarah, how are you?", "session_id": 10691, "sequence_id": 0, "annotations": [{"pii_type": "PERSON", "surrogate": "Sarah", "start": 9, "end": 14}]}
{"role": "student", "content": "Hello", "session_id": 10691, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "I'm good, how are you?", "session_id": 10691, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "I'm good, are you just trying to solve for the zeroes here?", "session_id": 10691, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "Yeah, I'm trying to solve this equation. I know it's non-factorabnle and I have to use quadratic formula.", "session_id": 10691, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "Great! What do you think we should do first?", "session_id": 10691, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "Great, so first we move everything to one side to set our equation to zero", "session_id": 10691, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "Alright", "session_id": 10691, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "What are our a, b, and c values for the quadratic equation now?", "session_id": 10691, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "So, now we can just plug them into the quadratic formula right?", "session_id": 10691, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "Yep!", "session_id": 10691, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "I'll calculate these right now", "session_id": 10691, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "360 doesn't square root evenly.", "session_id": 10691, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "But we can simplify the radical right?", "session_id": 10691, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "Yep, I'm confused how to", "session_id": 10691, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "That's alright! Let's look at how we can do this", "session_id": 10691, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "First, we should pull out our radical -1", "session_id": 10691, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "And always remember radical -1 can be written as i", "session_id": 10691, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "You got i by multiplying 360 by -1 right?", "session_id": 10691, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "-360*", "session_id": 10691, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "I got i by splitting radical -360 into radical 360 times radical -1", "session_id": 10691, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "Ohhh, okay", "session_id": 10691, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "Anytime you want any further clarification on anything, please just let me know btw.\n\nBut just always remember when you have a radical -1, it's the same as i", "session_id": 10691, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "Now, what perfect square number can I pull out of radical 360?", "session_id": 10691, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "Okay, thank you for clarification I get that part now.", "session_id": 10691, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "Hmmm", "session_id": 10691, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "36", "session_id": 10691, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "Perfect!", "session_id": 10691, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "What does this leave us with?", "session_id": 10691, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "What is radical 36 equal to?", "session_id": 10691, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "6", "session_id": 10691, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "So I can rewrite this as 6 times i times radical 10 right?", "session_id": 10691, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "Yes!", "session_id": 10691, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "Now, there isn't anymore perfect squares to pull out of 10, so we have fully simplified our radical", "session_id": 10691, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "Do we go back to the quadratic formula now?", "session_id": 10691, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "Yes! Now we can rewrite 6i radical 10 in for our radical -360.", "session_id": 10691, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "Okay! What is next?", "session_id": 10691, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "Well, is there any way we can simplify our fraction?", "session_id": 10691, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "I think we should divide by 2", "session_id": 10691, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "For 22 and 6i", "session_id": 10691, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "Exactly! Every number is divisible by 2 right?", "session_id": 10691, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "Don't forget though, you also have to do it to the 6", "session_id": 10691, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "The 6 that's before the plus-minus sign?", "session_id": 10691, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "Perfect, so that is our final answer", "session_id": 10691, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "However, just as a side note, you may see in some questions it's written differently a little", "session_id": 10691, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "Ohhh okay, I understand it better now", "session_id": 10691, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "Like that instead", "session_id": 10691, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "Ohhh", "session_id": 10691, "sequence_id": 47, "annotations": []}
{"role": "student", "content": "Thank you a lot! That made it easier for me.", "session_id": 10691, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "Of course, do you have another question you want to try?", "session_id": 10691, "sequence_id": 49, "annotations": []}
{"role": "student", "content": "I have one more that looks a bit harder, but I have to leave class on 10 minutes so not much time :(", "session_id": 10691, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "Oh alright, that's okay, if you want to put it to just see what we can get through you could. \n\nIf not, just remember you always pull out radical -1 as i when simplifying, and then pull out your perfect squares.", "session_id": 10691, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "Alright, thank you! I understand it now, so I can do it later. But I'll keep those in mind.", "session_id": 10691, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "Great! You can end the session whenever you're ready.\n\nGoodbye!", "session_id": 10691, "sequence_id": 53, "annotations": []}
{"role": "student", "content": "Thanks, Bye!", "session_id": 10691, "sequence_id": 54, "annotations": []}
{"role": "student", "content": "hello i have atest tmr and there just some questions that i dont get at all", "session_id": 11426, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "and ineed help really understanding them before my test tmr", "session_id": 11426, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "Hello", "session_id": 11426, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "Which questions?", "session_id": 11426, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "this question", "session_id": 11426, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "can yu see it", "session_id": 11426, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "hello", "session_id": 11426, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "Yes", "session_id": 11426, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "How do you understand this exercise?", "session_id": 11426, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "What are they wanting from  you?", "session_id": 11426, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "to find out howmany were red and the howw many were blue", "session_id": 11426, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "Okay", "session_id": 11426, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "How write ratio?", "session_id": 11426, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "like this?", "session_id": 11426, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "Okay,good:)", "session_id": 11426, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "When we have ratio what do we?", "session_id": 11426, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "??", "session_id": 11426, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "im not sure what to d after this", "session_id": 11426, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "Let's meet show to you", "session_id": 11426, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "okk", "session_id": 11426, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "Me*", "session_id": 11426, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "what is this", "session_id": 11426, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "We have rule", "session_id": 11426, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "rule ?", "session_id": 11426, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "how would we solve for pink on the right side", "session_id": 11426, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "Yes the product of the numerator and the denominator is equal to the product of the numerator and the denominator", "session_id": 11426, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "Rule of ratio", "session_id": 11426, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "ive never heard of that be used for theses type of question", "session_id": 11426, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "You have r,what will you do?", "session_id": 11426, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "Ratio a:b=c:d the product of the middle terms is equal to the product of the extreme terms", "session_id": 11426, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "And we can ratio like fraction", "session_id": 11426, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "would i multiply by 7/1 to both sides", "session_id": 11426, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "im not sure  what to do", "session_id": 11426, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "You will have the same thing", "session_id": 11426, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "But with the rule of ratio it is more easier", "session_id": 11426, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "?", "session_id": 11426, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "Are you understand about ratio?", "session_id": 11426, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "coudl you show bc i dont understand youinstrucctions", "session_id": 11426, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "Ratio a:b=c:d the product of the middle terms is equal to the product of the extreme terms", "session_id": 11426, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "msybe if you visually show me i might understand better", "session_id": 11426, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "And we can write  ratio like fraction", "session_id": 11426, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "Okay,sure", "session_id": 11426, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "Unfortunately, I am on phone", "session_id": 11426, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "i see", "session_id": 11426, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "I am sorry,I don't expected that", "session_id": 11426, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "okay maybe we can skip this problem i ts kinda late and i wanna gi over some other problems", "session_id": 11426, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "oh no your good its fine", "session_id": 11426, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "Thanks for your understanding", "session_id": 11426, "sequence_id": 47, "annotations": []}
{"role": "student", "content": "yea of course", "session_id": 11426, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "If you have time please send request again after 1 hour", "session_id": 11426, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "I will help you on my pc", "session_id": 11426, "sequence_id": 50, "annotations": []}
{"role": "student", "content": "sure will do", "session_id": 11426, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "so aorund 2 then", "session_id": 11426, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "Okay:)", "session_id": 11426, "sequence_id": 53, "annotations": []}
{"role": "student", "content": "okay then bye for now ill come back in 1 hour at 2 am", "session_id": 11426, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "Okay, thanks", "session_id": 11426, "sequence_id": 55, "annotations": []}
{"role": "student", "content": "I need help solving one specific problem ", "session_id": 9140, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "Hi. I will try my best!", "session_id": 9140, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "Ima put it on the white board ", "session_id": 9140, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "looks like we have a quadratic equation to solve", "session_id": 9140, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "what do you think the first step should be?", "session_id": 9140, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "Subtract x squared", "session_id": 9140, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "ok, good start", "session_id": 9140, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "what next?", "session_id": 9140, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "Subtract 7 to get the x squared by itself", "session_id": 9140, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "no", "session_id": 9140, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "Add 8x and equal it to 0", "session_id": 9140, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 9140, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "good! and now?", "session_id": 9140, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "Split it into (x+1) and (x+7)", "session_id": 9140, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 9140, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "great job!", "session_id": 9140, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "Thank you", "session_id": 9140, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "any other questions?", "session_id": 9140, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "Yea", "session_id": 9140, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "How do I do it in this", "session_id": 9140, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "?", "session_id": 9140, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "I\u2019m trying to get the photo to load in the whiteboard. It\u2019s not working.", "session_id": 9140, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "oh", "session_id": 9140, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "It says given triangle ADC is congruent to triangle CBA solved for X", "session_id": 9140, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "Sorry my triangles bad", "session_id": 9140, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "That's ok. So you are supposed to solve for x, right?", "session_id": 9140, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "Yes but he wants me to type it in. I don\u2019t know which x she wants.", "session_id": 9140, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "I see. Let's try both and see if they both work. Try x=-1 first.", "session_id": 9140, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "9 seems small for an angle measure, doesn't it?", "session_id": 9140, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 9140, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "105 seems more reasonable", "session_id": 9140, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "do you know which x to choose now?", "session_id": 9140, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "Yea", "session_id": 9140, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "Thank u", "session_id": 9140, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "youre welcome!", "session_id": 9140, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "\ud83d\udc4b ", "session_id": 9140, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "hello", "session_id": 11597, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "How may I help you?", "session_id": 11597, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "hello", "session_id": 11597, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "I get lost here", "session_id": 11597, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "You used 12 twice", "session_id": 11597, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "do i need to divide or just simplify the fractions", "session_id": 11597, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "You need to figure out if those are all the same ratio.", "session_id": 11597, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "for example, does 15/20 =12/30?", "session_id": 11597, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "theyre not", "session_id": 11597, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "*they arent", "session_id": 11597, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "Then the triangles are not similar", "session_id": 11597, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "ah okay", "session_id": 11597, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "Are you all set or did you have another question?", "session_id": 11597, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "im set", "session_id": 11597, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "thank you", "session_id": 11597, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "hi", "session_id": 10537, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "how can i help you?", "session_id": 10537, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "Evergreen High course challenge and i have no idea what anything is so i want some help to understand how to solve and answer the question how are you?", "session_id": 10537, "sequence_id": 2, "annotations": [{"pii_type": "SCHOOL", "surrogate": "Evergreen High", "start": 0, "end": 14}]}
{"role": "student", "content": "Also what do you want me to call you by", "session_id": 10537, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "Maya", "session_id": 10537, "sequence_id": 4, "annotations": [{"pii_type": "PERSON", "surrogate": "Maya", "start": 0, "end": 4}]}
{"role": "student", "content": "ok", "session_id": 10537, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "ok Maya how do you solve this", "session_id": 10537, "sequence_id": 6, "annotations": [{"pii_type": "PERSON", "surrogate": "Maya", "start": 3, "end": 7}]}
{"role": "volunteer", "content": "you have form of c *(ai+b) schematically. How to make this expression look like a + bi?", "session_id": 10537, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "divide c", "session_id": 10537, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "no, I mean schematically", "session_id": 10537, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "it could be any number like f * (ri + d)", "session_id": 10537, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "and you need to have a + bi", "session_id": 10537, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "divide outside variable?", "session_id": 10537, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "Does it make sense?", "session_id": 10537, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "so 72+2i", "session_id": 10537, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "eh, why?", "session_id": 10537, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "idk", "session_id": 10537, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "Maya", "session_id": 10537, "sequence_id": 17, "annotations": [{"pii_type": "PERSON", "surrogate": "Maya", "start": 0, "end": 4}]}
{"role": "student", "content": "a=72", "session_id": 10537, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "b=2", "session_id": 10537, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "so 72+2i", "session_id": 10537, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "Well yeah it is equation of this form. But you need to translate your equation to this form", "session_id": 10537, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "divide 7", "session_id": 10537, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "you cannot divide for no reason", "session_id": 10537, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "divide 7 to make a+bi by itself", "session_id": 10537, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "okay imagine the expression 2+2 which is obviously will be 4, but you say, what if I just divide it by 7. This is not correct and unreasonable. For our expression you just need to multiply seven on your brackets", "session_id": 10537, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "can you divide 7 to get rid of it on the outside", "session_id": 10537, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "ok its that easy?", "session_id": 10537, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 10537, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "oh ok sorry im in 10th Grade dont know i thought it is some complex formula or somethint", "session_id": 10537, "sequence_id": 29, "annotations": [{"pii_type": "GRADE_LEVEL", "surrogate": "10th Grade", "start": 18, "end": 28}]}
{"role": "volunteer", "content": "that's okay. Evergreen High high math", "session_id": 10537, "sequence_id": 30, "annotations": [{"pii_type": "SCHOOL", "surrogate": "Evergreen High", "start": 13, "end": 27}]}
{"role": "student", "content": "ok", "session_id": 10537, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "is that right", "session_id": 10537, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "frick i did it harder way", "session_id": 10537, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "wait", "session_id": 10537, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "well we are both wrong", "session_id": 10537, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "why", "session_id": 10537, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "because this is geometry progression", "session_id": 10537, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "what", "session_id": 10537, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "progression?", "session_id": 10537, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "Can you enter answer multiple times?", "session_id": 10537, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "1138", "session_id": 10537, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "yeah", "session_id": 10537, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "how this q", "session_id": 10537, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "can you solve it?", "session_id": 10537, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "that it?", "session_id": 10537, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "what?", "session_id": 10537, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "the answer", "session_id": 10537, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "i cannot see it", "session_id": 10537, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "yeah right", "session_id": 10537, "sequence_id": 49, "annotations": []}
{"role": "student", "content": "huh", "session_id": 10537, "sequence_id": 50, "annotations": []}
{"role": "student", "content": "is it right?", "session_id": 10537, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 10537, "sequence_id": 52, "annotations": []}
{"role": "student", "content": "how do i solve", "session_id": 10537, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "can you solve ln5 and ln8?", "session_id": 10537, "sequence_id": 54, "annotations": []}
{"role": "student", "content": "whats ln", "session_id": 10537, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "natural logarithm", "session_id": 10537, "sequence_id": 56, "annotations": []}
{"role": "student", "content": "ln^-3?", "session_id": 10537, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "no", "session_id": 10537, "sequence_id": 58, "annotations": []}
{"role": "student", "content": "how to solve", "session_id": 10537, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "you can express any logariphm as a division of logariphm with any base what you need", "session_id": 10537, "sequence_id": 60, "annotations": []}
{"role": "student", "content": "8^5", "session_id": 10537, "sequence_id": 61, "annotations": []}
{"role": "student", "content": "?", "session_id": 10537, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "and we use natural logariphm which we now solutions of", "session_id": 10537, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "ln5 = 1.609 and ln8 = 2.079", "session_id": 10537, "sequence_id": 64, "annotations": []}
{"role": "student", "content": "how", "session_id": 10537, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "open the calculator", "session_id": 10537, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "you have numbers neat to log", "session_id": 10537, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "near*", "session_id": 10537, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "ln5 and ln8", "session_id": 10537, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "ln(5) just write it", "session_id": 10537, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "doing good?", "session_id": 10537, "sequence_id": 71, "annotations": []}
{"role": "student", "content": "ye", "session_id": 10537, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "ln5 and ln8 are just constant numbers. you divide one constant number on another and get constant number", "session_id": 10537, "sequence_id": 73, "annotations": []}
{"role": "student", "content": "ok", "session_id": 10537, "sequence_id": 74, "annotations": []}
{"role": "volunteer", "content": "so what the answer?", "session_id": 10537, "sequence_id": 75, "annotations": []}
{"role": "student", "content": "0.77", "session_id": 10537, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "yes, good", "session_id": 10537, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "that's okay when will do another similar, you will do it much easier", "session_id": 10537, "sequence_id": 78, "annotations": []}
{"role": "student", "content": "ok im done for today", "session_id": 10537, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "cool, have a good day", "session_id": 10537, "sequence_id": 80, "annotations": []}
{"role": "student", "content": "i give up today", "session_id": 10537, "sequence_id": 81, "annotations": []}
{"role": "student", "content": "thanks for helping", "session_id": 10537, "sequence_id": 82, "annotations": []}
{"role": "student", "content": "bye", "session_id": 10537, "sequence_id": 83, "annotations": []}
{"role": "volunteer", "content": "bye", "session_id": 10537, "sequence_id": 84, "annotations": []}
{"role": "volunteer", "content": "you did great", "session_id": 10537, "sequence_id": 85, "annotations": []}
{"role": "student", "content": "Hi there!", "session_id": 10579, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "hi", "session_id": 10579, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "I need help checking my math homework please", "session_id": 10579, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "yes i can help you", "session_id": 10579, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "do you want to write it on the board", "session_id": 10579, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "I'll put a picture of it on the board, gimmie a second", "session_id": 10579, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "ok take  your time", "session_id": 10579, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "There we go", "session_id": 10579, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "ok let me look at it", "session_id": 10579, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "the answers you put are correct", "session_id": 10579, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "Awesome", "session_id": 10579, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "Here is the next one", "session_id": 10579, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "i think r=8", "session_id": 10579, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "Okay", "session_id": 10579, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "let me explsin it", "session_id": 10579, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "on the board", "session_id": 10579, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "do you understand it", "session_id": 10579, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "Yes I got it", "session_id": 10579, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "Here is the next one", "session_id": 10579, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 10579, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "yes your correct", "session_id": 10579, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "good job", "session_id": 10579, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "Great", "session_id": 10579, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "here's the next one", "session_id": 10579, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "ok let me check it", "session_id": 10579, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "your correct on this one too", "session_id": 10579, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "Thanks", "session_id": 10579, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "Okay here is the next question", "session_id": 10579, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "how many more do we have to check so i can go faster if it takes long", "session_id": 10579, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "I have a lot of questions lol", "session_id": 10579, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "let me see", "session_id": 10579, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "its ok", "session_id": 10579, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "I have like 20 more", "session_id": 10579, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "if that's okay", "session_id": 10579, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 10579, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "yea i have time", "session_id": 10579, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "this one is correct", "session_id": 10579, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "okay good", "session_id": 10579, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "next", "session_id": 10579, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "wait did I just do this one?", "session_id": 10579, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 10579, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "sorry let me get the next one", "session_id": 10579, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "its ok", "session_id": 10579, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "wouldntit be -2", "session_id": 10579, "sequence_id": 43, "annotations": []}
{"role": "student", "content": "This question had me a bit confused lol, so probably", "session_id": 10579, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "yeaits -2 because thats where the grahp has the same pojnt", "session_id": 10579, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "its basically where they intersect", "session_id": 10579, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "Ohhhh gotcha", "session_id": 10579, "sequence_id": 47, "annotations": []}
{"role": "student", "content": "here's the next one", "session_id": 10579, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "your correct on this", "session_id": 10579, "sequence_id": 49, "annotations": []}
{"role": "student", "content": "Yay", "session_id": 10579, "sequence_id": 50, "annotations": []}
{"role": "student", "content": "here is the next question", "session_id": 10579, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "can you make it bigger", "session_id": 10579, "sequence_id": 52, "annotations": []}
{"role": "student", "content": "sorry", "session_id": 10579, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "its the last one actually", "session_id": 10579, "sequence_id": 54, "annotations": []}
{"role": "student", "content": "ooooh", "session_id": 10579, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "do you understand the work i did to get the answer?", "session_id": 10579, "sequence_id": 56, "annotations": []}
{"role": "student", "content": "yes", "session_id": 10579, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "because i want you to understnd it", "session_id": 10579, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "ok good", "session_id": 10579, "sequence_id": 59, "annotations": []}
{"role": "student", "content": "Lol", "session_id": 10579, "sequence_id": 60, "annotations": []}
{"role": "student", "content": "here is the next one", "session_id": 10579, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "i have to go in a bit but i can help you again after 30 mins", "session_id": 10579, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "ill help you with this last one", "session_id": 10579, "sequence_id": 63, "annotations": []}
{"role": "student", "content": "Okay!", "session_id": 10579, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "it should be the second one with -2 and 2", "session_id": 10579, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "do you understadn what i did", "session_id": 10579, "sequence_id": 66, "annotations": []}
{"role": "student", "content": "yes yes", "session_id": 10579, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "you bascially take the negative and positive 2 and divide it on the other side", "session_id": 10579, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "i can answer one more", "session_id": 10579, "sequence_id": 69, "annotations": []}
{"role": "student", "content": "okaaays", "session_id": 10579, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "its the one with 4 and 6", "session_id": 10579, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "ok bye", "session_id": 10579, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "hello", "session_id": 11162, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "Hello!", "session_id": 11162, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "I\u2019d like to get some extra practice in, so I was wondering if you could rewrite the problems with different numbers but keep the same concept. I\u2019d like to start from Objective 9. Here's the link to the PDF: https://example.com/math_problems.pdf", "session_id": 11162, "sequence_id": 2, "annotations": [{"pii_type": "URL", "surrogate": "https://example.com/math_problems.pdf", "start": 207, "end": 244}]}
{"role": "student", "content": "I currently need a problem that is like c of obj 9", "session_id": 11162, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "okay", "session_id": 11162, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "I'm not able to open that source for some reason", "session_id": 11162, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "Try now", "session_id": 11162, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "Click the link on the whiteboard twice & then copy and paste it", "session_id": 11162, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "I know but it doesn't work. Can you provide me one of the equation that you're working on?", "session_id": 11162, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "(2p^3-2m)^2", "session_id": 11162, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "Give me some time to make the high quality questions", "session_id": 11162, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "ok you can also use chatgpt to generate one for you", "session_id": 11162, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "(3X^2-4y)^2", "session_id": 11162, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "kk", "session_id": 11162, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "(5a^3+2b)^2", "session_id": 11162, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "sorry about that i'm back now", "session_id": 11162, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "can you write them on the whiteboard", "session_id": 11162, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "I wrote it on the whiteboard", "session_id": 11162, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "the answer is 9x^4-24x^2y+16y^2 for the first one", "session_id": 11162, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "for the 5a^3 problem is the anwer 25a^6+12a^3b+4b^2", "session_id": 11162, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "Yes", "session_id": 11162, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "kk", "session_id": 11162, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "now one like d", "session_id": 11162, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "What do you mean?", "session_id": 11162, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "You want more practice problems?", "session_id": 11162, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "for letter d of obj 9", "session_id": 11162, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "onlny need two", "session_id": 11162, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "I don't know which one are you talking about", "session_id": 11162, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "letter d", "session_id": 11162, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "oh i forgot u dont have access to the pdf", "session_id": 11162, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "2t(3t+5)(2t+1)", "session_id": 11162, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "okay", "session_id": 11162, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "So just do the (3t+5)(2t+1) before you do", "session_id": 11162, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "no im saying rewrite one uot like that", "session_id": 11162, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "hello", "session_id": 11162, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "Hello Alex!", "session_id": 792, "sequence_id": 0, "annotations": [{"pii_type": "PERSON", "surrogate": "Alex", "start": 6, "end": 10}]}
{"role": "volunteer", "content": "I see that this is your first session, welcome to Mathville Academy!!! :)", "session_id": 792, "sequence_id": 1, "annotations": [{"pii_type": "SCHOOL", "surrogate": "Mathville Academy", "start": 50, "end": 67}]}
{"role": "volunteer", "content": "Let me know if you need any help with the platform!", "session_id": 792, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "Hi!!!!!! thank you!!!!", "session_id": 792, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "this platform looks really cool thank u!!", "session_id": 792, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "I would like to learn more about piecewise functions if you know about thaattt :)", "session_id": 792, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "Yup, I do! :)", "session_id": 792, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "Is there a specific problem you\u2019d like me to help walk you through?", "session_id": 792, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "You can paste images onto the whiteboard by clicking on the picture icon with the small upwards arrow!", "session_id": 792, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "oh okay! please give me a moment to find the problem ^_^", "session_id": 792, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "No problem, take your time! :)", "session_id": 792, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "okay, there's the image!!!!!", "session_id": 792, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "could you walk me through this problem if u don't mind??", "session_id": 792, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "I see it! :)", "session_id": 792, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "Yup, of course!", "session_id": 792, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "yay, thank you!!!!", "session_id": 792, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "The stuff underlined in blue are the equations you\u2019ll graph, and the stuff in pink is the restrictions!", "session_id": 792, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "ohhh wait what are restrictions if you don't mind me asking???", "session_id": 792, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "wait this is such a dumb question I'm sorry Mr. Lee", "session_id": 792, "sequence_id": 18, "annotations": [{"pii_type": "PERSON", "surrogate": "Mr. Lee", "start": 44, "end": 51}]}
{"role": "volunteer", "content": "In this case, they are domain restrictions! So you\u2019re cutting off parts of the graph, if that makes sense, I can draw it out", "session_id": 792, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "No, it\u2019s not a dumb question, learning takes time! When I was learning piecewise functions, it took some time before it clicked, and that\u2019s totally ok! :)", "session_id": 792, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "yeah please draw it out if you don't mind!!! I'm more of a visual learner heh", "session_id": 792, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "The black line I drew is the equations you\u2019ll graph y = x", "session_id": 792, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "If I restrict the domain (x values)\u2026 (I\u2019ll write it on the board)", "session_id": 792, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "That pink thing I wrote is basically saying, I only want the points of that line (y = x) to have its x-coordinates be between 1 and 5, does that make sense?", "session_id": 792, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "yeah it make sense a little!!!! so I'm graphing the black line you drew?", "session_id": 792, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "I'm a little slow eee", "session_id": 792, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "For example, the green dot I plotted is OUTSIDE of this restriction, because it\u2019s coordinate point is (7,7)", "session_id": 792, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "And 7 is not between 1 and 5!", "session_id": 792, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "Let me know if it doesn\u2019t make sense, I\u2019ll adjust my explanations!", "session_id": 792, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "ohhh I see!! I understand, thank you!!!", "session_id": 792, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "And the y = x is just an example, you\u2019ll be graphing y = -x + 4 and y = 1/2x + 4", "session_id": 792, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "f(x) is basically the same as y, just a side note!", "session_id": 792, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "ohhh I see !!! so I'm just graphing the two equations at the top right?", "session_id": 792, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "Yep! And you\u2019re \u201ccutting\u201d those graphs based on the restrictions (underlined in pink)", "session_id": 792, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "Those equations* not graphs I mean", "session_id": 792, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "oh I see !! so what's the next step? how do I solve it", "session_id": 792, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "also maybe you could solve this for me and like I could solve another one by myself following your steps", "session_id": 792, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "Ok, I\u2019ll guide you through it!", "session_id": 792, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "thank you!!", "session_id": 792, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "Have you seen unfilled dots and filled dots in piecewise functions?", "session_id": 792, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "wait arent those called like \"closed\" or \"open\"", "session_id": 792, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "I forgot the name for it but I have seen it before", "session_id": 792, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "Oh yes, I\u2019m sorry! They are called closed and opened", "session_id": 792, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "What do the closed dots tell you?", "session_id": 792, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "oh yeah! don't the closed dots tell you like . if the inequality has a line under it, it's closed or smth like that????? like if \">\" had a line under it ,, and if it has no line its open???????", "session_id": 792, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "I think I'm not sure", "session_id": 792, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "That\u2019s right!! More precisely, closed dots indicate that the value is APART of the piecewise function. So in this case, for the bottom restriction, it\u2019s saying that x = 6 is INCLUDED in the piecewise function.", "session_id": 792, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "Open dots indicate that the value isn\u2019t apart of the piecewise function, and that there\u2019s a \u201chole\u201d in the piecewise function", "session_id": 792, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "So in the top redirection, it\u2019s saying that -3 and 2 are NOT apart of the piecewise function", "session_id": 792, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "Top restriction*", "session_id": 792, "sequence_id": 50, "annotations": []}
{"role": "student", "content": "ohhh because they don't have lines under their equality okay I get it!!", "session_id": 792, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "so 2 and 6 are included because its closed right??", "session_id": 792, "sequence_id": 52, "annotations": []}
{"role": "student", "content": "for the second one", "session_id": 792, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "You\u2019re really close! 6 is included for the second restriction\u2026 but 2 isn\u2019t!", "session_id": 792, "sequence_id": 54, "annotations": []}
{"role": "student", "content": "wait omg I'm slow nevermind I forgot there wasn't a line there", "session_id": 792, "sequence_id": 55, "annotations": []}
{"role": "student", "content": "okay so we include 6??", "session_id": 792, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "For now, can you graph the equation y= -x + 4 for me? And then I can help you figure out what parts of that line to erase!", "session_id": 792, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "Yeah, I think this will make more sense once you graph it!", "session_id": 792, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "And it\u2019s okay, you\u2019re not slow!! Learning takes time, be kind to yourself :)", "session_id": 792, "sequence_id": 59, "annotations": []}
{"role": "student", "content": "wait could you hold on for a few seconds? I'll graph it in a few secs wait !!", "session_id": 792, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "No problem, I have a lot of free time today! :) take your time, no pressure!", "session_id": 792, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "Let me know if you\u2019re having trouble with the whiteboard!", "session_id": 792, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "I can also help you graph the lines, if you\u2019d like? :)", "session_id": 792, "sequence_id": 63, "annotations": []}
{"role": "student", "content": "ok I'm back !!! and sure! I can try to graph the equation and you can just point out any mistakes I make if you want :)", "session_id": 792, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "Alrighty!", "session_id": 792, "sequence_id": 65, "annotations": []}
{"role": "student", "content": "ok I'm sorry if I make any mistakess", "session_id": 792, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "Mistakes are how everyone learns, no worries!", "session_id": 792, "sequence_id": 67, "annotations": []}
{"role": "student", "content": "is it correct to put a dot at (0,4) first Mr. Lee am I not on the right track", "session_id": 792, "sequence_id": 68, "annotations": [{"pii_type": "PERSON", "surrogate": "Mr. Lee", "start": 42, "end": 49}]}
{"role": "volunteer", "content": "That\u2019s correct! We\u2019ll check the restrictions later, let\u2019s focus on graphing the lines first!", "session_id": 792, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "It\u2019s correct because that\u2019s the y-intercept!", "session_id": 792, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "Of the first equation", "session_id": 792, "sequence_id": 71, "annotations": []}
{"role": "student", "content": "oh okay thank you!! I was just afraid of messing up, I'll start graphing", "session_id": 792, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "And the second equation, but we\u2019ll worry about that later haha", "session_id": 792, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "Looks good!", "session_id": 792, "sequence_id": 74, "annotations": []}
{"role": "student", "content": "wait do you want me to draw a line through the dots as well", "session_id": 792, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "Yep! Both of these equations are lines :)", "session_id": 792, "sequence_id": 76, "annotations": []}
{"role": "student", "content": "okayyy!", "session_id": 792, "sequence_id": 77, "annotations": []}
{"role": "student", "content": "I'm sorry the line looks so bad haha I tried", "session_id": 792, "sequence_id": 78, "annotations": []}
{"role": "student", "content": "wait there's more dots I have to put right", "session_id": 792, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "No, it looks fine! Yes, could you extend it? Then I\u2019ll show you how the domain restrictions make you \u201ccut\u201d the line apart!", "session_id": 792, "sequence_id": 80, "annotations": []}
{"role": "student", "content": "uhhh wait I'm a little confused I'm afraid I'm gonna mess up", "session_id": 792, "sequence_id": 81, "annotations": []}
{"role": "student", "content": "I feel like I'm overthinking hel", "session_id": 792, "sequence_id": 82, "annotations": []}
{"role": "volunteer", "content": "Ok I\u2019ll guide you through it! That\u2019s totally okay!", "session_id": 792, "sequence_id": 83, "annotations": []}
{"role": "volunteer", "content": "In f(x) = -x + 4, what\u2019s the slope?", "session_id": 792, "sequence_id": 84, "annotations": []}
{"role": "student", "content": "isn't it -1?", "session_id": 792, "sequence_id": 85, "annotations": []}
{"role": "volunteer", "content": "Yeah!!! Here\u2019s a way of thinking about it (I\u2019ll write it in red on the whiteboard!)", "session_id": 792, "sequence_id": 86, "annotations": []}
{"role": "student", "content": "okay thank you!!!", "session_id": 792, "sequence_id": 87, "annotations": []}
{"role": "volunteer", "content": "Slope is rise over run!", "session_id": 792, "sequence_id": 88, "annotations": []}
{"role": "volunteer", "content": "So a slope of -1 is telling me to move down 1 unit as I go to the right one unit!", "session_id": 792, "sequence_id": 89, "annotations": []}
{"role": "student", "content": "so do I move down from (0,4) or?", "session_id": 792, "sequence_id": 90, "annotations": []}
{"role": "volunteer", "content": "So you did a great job, to extend it, continue this pattern of moving down 1 unit WHILE also moving 1 unit to the right!", "session_id": 792, "sequence_id": 91, "annotations": []}
{"role": "student", "content": "ohhhhhhh okokwait", "session_id": 792, "sequence_id": 92, "annotations": []}
{"role": "volunteer", "content": "It\u2019s a little cramped on the whiteboard, but you see how I\u2019m following this pattern?", "session_id": 792, "sequence_id": 93, "annotations": []}
{"role": "volunteer", "content": "When I move one unit to the right, I\u2019ll move down one unit! Because the slope is -1!", "session_id": 792, "sequence_id": 94, "annotations": []}
{"role": "student", "content": "do I put a dot at (1,3) ?", "session_id": 792, "sequence_id": 95, "annotations": []}
{"role": "student", "content": "wait", "session_id": 792, "sequence_id": 96, "annotations": []}
{"role": "volunteer", "content": "We\u2019ll get to that later, let\u2019s focus on graphing most of the line, and then later we\u2019ll slice the line apart based on the domain restrictions!", "session_id": 792, "sequence_id": 97, "annotations": []}
{"role": "volunteer", "content": "Right now our line is at (2,2), to continue it\u2026 let\u2019s move to the right one unit AND down 1 unit!", "session_id": 792, "sequence_id": 98, "annotations": []}
{"role": "student", "content": "ohhhhhhh wait hold up I'm gonna try to graph", "session_id": 792, "sequence_id": 99, "annotations": []}
{"role": "volunteer", "content": "Go ahead! :) let me know whenever you need help!", "session_id": 792, "sequence_id": 100, "annotations": []}
{"role": "student", "content": "like that???? or", "session_id": 792, "sequence_id": 101, "annotations": []}
{"role": "student", "content": "should it be at (3,1) ?", "session_id": 792, "sequence_id": 102, "annotations": []}
{"role": "volunteer", "content": "Yep!", "session_id": 792, "sequence_id": 103, "annotations": []}
{"role": "student", "content": "I was thinking that but I thought I was wrong", "session_id": 792, "sequence_id": 104, "annotations": []}
{"role": "volunteer", "content": "It\u2019s correct because the slope is -1, which is telling us that, as we move one unit to the right, we move down 1!", "session_id": 792, "sequence_id": 105, "annotations": []}
{"role": "student", "content": "okay thank you! do I keep continuing this pattern or is that all?", "session_id": 792, "sequence_id": 106, "annotations": []}
{"role": "volunteer", "content": "Let me clarify what I\u2019m trying to do here: I want you to graph the full lines, so you can later see how the domain restrictions guide you to cut the line apart! That\u2019s why I want you to continue the pattern to make the line longer", "session_id": 792, "sequence_id": 107, "annotations": []}
{"role": "volunteer", "content": "Can you extend the line to the left a little more? :)", "session_id": 792, "sequence_id": 108, "annotations": []}
{"role": "student", "content": "oh okay wait !!", "session_id": 792, "sequence_id": 109, "annotations": []}
{"role": "student", "content": "wait did I do it rigjht ...", "session_id": 792, "sequence_id": 110, "annotations": []}
{"role": "volunteer", "content": "Yeah, you did! As long as you follow what the slope is telling you, you\u2019re good! You extended the line more to the RIGHT, but could you extend it more to the LEFT now?", "session_id": 792, "sequence_id": 111, "annotations": []}
{"role": "volunteer", "content": "I\u2019ll give a little hint!", "session_id": 792, "sequence_id": 112, "annotations": []}
{"role": "volunteer", "content": "When you\u2019re extending to the left, you kind of have to think backwards to ensure you follow the pattern of moving down one unit while moving to the right one unit!", "session_id": 792, "sequence_id": 113, "annotations": []}
{"role": "student", "content": "wait I'm gonna try to attempt this hold on", "session_id": 792, "sequence_id": 114, "annotations": []}
{"role": "volunteer", "content": "Sure thing!", "session_id": 792, "sequence_id": 115, "annotations": []}
{"role": "student", "content": "wait I think I'm doing it wrong NVM nvm help", "session_id": 792, "sequence_id": 116, "annotations": []}
{"role": "student", "content": "do I have to move left and up move up now or??", "session_id": 792, "sequence_id": 117, "annotations": []}
{"role": "volunteer", "content": "That\u2019s alright! When I say I want you to extend the line to the left, I mean I want you to continue the line, starting at (-1, 5), which I already graphed for you!", "session_id": 792, "sequence_id": 118, "annotations": []}
{"role": "volunteer", "content": "So you have to kind of think backwards, to make sure you continue following the pattern!", "session_id": 792, "sequence_id": 119, "annotations": []}
{"role": "volunteer", "content": "See what I added to the graph? I thought backwards to figure out how to continue the pattern of moving down one unit WHILE ALSO moving to the right one unit", "session_id": 792, "sequence_id": 120, "annotations": []}
{"role": "volunteer", "content": "How would you rate your confidence level at graphing equations? Would you like to go over the basics again?", "session_id": 792, "sequence_id": 121, "annotations": []}
{"role": "student", "content": "maybe .. I think its because of the fact I don't really graph equations that much like by scratch and I usually just use desmos for equations and stuff haha so I kind of forgot all of this stuff imsorryyy\n\nlike I don't usually draw the lines and stuff, if I am given a graph its usually already numbered and laid out for me heh", "session_id": 792, "sequence_id": 122, "annotations": []}
{"role": "volunteer", "content": "Ohhh yeah, that makes sense! That\u2019s totally ok! I\u2019m asking you to graph by hand because you might have tests in the future where they don\u2019t let you use calculators \ud83d\ude05", "session_id": 792, "sequence_id": 123, "annotations": []}
{"role": "student", "content": "I'm trying to figure it out though, its just I'm really slow, not to bring myself down but I do think slowly compared to others and I need it breaken down a lot for me to fully understand siiiighhh", "session_id": 792, "sequence_id": 124, "annotations": []}
{"role": "volunteer", "content": "That\u2019s ok, is the fact that the slope is negative throwing you off?", "session_id": 792, "sequence_id": 125, "annotations": []}
{"role": "student", "content": "yeahhhhhhh that's mainly it", "session_id": 792, "sequence_id": 126, "annotations": []}
{"role": "volunteer", "content": "Ok! I\u2019ll write out some positive slope equations, can you graph those for me? Negative and positive slope equations are very similar thankfully! :)", "session_id": 792, "sequence_id": 127, "annotations": []}
{"role": "student", "content": "okay I'll try my best wait!", "session_id": 792, "sequence_id": 128, "annotations": []}
{"role": "volunteer", "content": "Alrighty, You\u2019re doing great!!!", "session_id": 792, "sequence_id": 129, "annotations": []}
{"role": "student", "content": "hmm is the second dot right", "session_id": 792, "sequence_id": 130, "annotations": []}
{"role": "volunteer", "content": "Looking good!", "session_id": 792, "sequence_id": 131, "annotations": []}
{"role": "volunteer", "content": "Yes!", "session_id": 792, "sequence_id": 132, "annotations": []}
{"role": "volunteer", "content": "The slope is 2, so you have a rise of 2 and a run of 1 unit", "session_id": 792, "sequence_id": 133, "annotations": []}
{"role": "student", "content": "oh okay do I keep going or do I draw the line ..", "session_id": 792, "sequence_id": 134, "annotations": []}
{"role": "volunteer", "content": "Yes, I\u2019d like it if you could make the line longer!", "session_id": 792, "sequence_id": 135, "annotations": []}
{"role": "volunteer", "content": "Keep following the pattern that the slope is telling you to move!", "session_id": 792, "sequence_id": 136, "annotations": []}
{"role": "volunteer", "content": "Third point looks great!!!", "session_id": 792, "sequence_id": 137, "annotations": []}
{"role": "volunteer", "content": "Yup!!", "session_id": 792, "sequence_id": 138, "annotations": []}
{"role": "student", "content": "do you want me to add another one or is that good", "session_id": 792, "sequence_id": 139, "annotations": []}
{"role": "volunteer", "content": "You\u2019ve been extending the line to the right, can you extend the line to the left now? :)", "session_id": 792, "sequence_id": 140, "annotations": []}
{"role": "student", "content": "I'll tryyy, do I start from (0,2) ?", "session_id": 792, "sequence_id": 141, "annotations": []}
{"role": "volunteer", "content": "Yep!", "session_id": 792, "sequence_id": 142, "annotations": []}
{"role": "volunteer", "content": "Hopefully this explanation makes sense: you\u2019ve been moving from left to right. But right now, I\u2019m asking you to move right to left! So you have to think backwards:", "session_id": 792, "sequence_id": 143, "annotations": []}
{"role": "volunteer", "content": "Normally, you move up 2, and right 1!", "session_id": 792, "sequence_id": 144, "annotations": []}
{"role": "volunteer", "content": "But if you want to extend the line to the left, you\u2019ll have to move down 2 and left 1!", "session_id": 792, "sequence_id": 145, "annotations": []}
{"role": "volunteer", "content": "Because later when you check if you graphed correctly, you can see if you continuously followed the pattern of moving 1 unit to the right and 2 units up!", "session_id": 792, "sequence_id": 146, "annotations": []}
{"role": "volunteer", "content": "(-1,0) is correct!! :)", "session_id": 792, "sequence_id": 147, "annotations": []}
{"role": "student", "content": "OHHHH Mr. Lee I get it now wait", "session_id": 792, "sequence_id": 148, "annotations": [{"pii_type": "PERSON", "surrogate": "Mr. Lee", "start": 6, "end": 13}]}
{"role": "student", "content": "wait...... I'm moving from (-1,0) right? wait so wouldn't that be below the numbers am I doing this right", "session_id": 792, "sequence_id": 149, "annotations": []}
{"role": "volunteer", "content": "Yep! That\u2019s okay because technically, lines go FOREVER and forever!", "session_id": 792, "sequence_id": 150, "annotations": []}
{"role": "volunteer", "content": "Have you heard of how there\u2019s 4 quadrants on a graph?", "session_id": 792, "sequence_id": 151, "annotations": []}
{"role": "volunteer", "content": "You put the point in the correct spots!!! Nice job!!!", "session_id": 792, "sequence_id": 152, "annotations": []}
{"role": "student", "content": "omg I've actually never heard that but thank you for the new information", "session_id": 792, "sequence_id": 153, "annotations": []}
{"role": "student", "content": "I was mainly just overthinking the whole time but thank u !!!", "session_id": 792, "sequence_id": 154, "annotations": []}
{"role": "volunteer", "content": "You\u2019ll learn more about the quadrants as you take more math classes! :)", "session_id": 792, "sequence_id": 155, "annotations": []}
{"role": "volunteer", "content": "Of course! Can you plot one more point, and then I\u2019ll show you how y = -2x + 2 looks like?", "session_id": 792, "sequence_id": 156, "annotations": []}
{"role": "student", "content": "okay!!", "session_id": 792, "sequence_id": 157, "annotations": []}
{"role": "volunteer", "content": "Very nice!!!", "session_id": 792, "sequence_id": 158, "annotations": []}
{"role": "student", "content": "yay thank u!!", "session_id": 792, "sequence_id": 159, "annotations": []}
{"role": "volunteer", "content": "See how you\u2019re following what the slope is telling you? (I\u2019ll write in blue)", "session_id": 792, "sequence_id": 160, "annotations": []}
{"role": "volunteer", "content": "That\u2019s how the slope changes a line!", "session_id": 792, "sequence_id": 161, "annotations": []}
{"role": "student", "content": "ohhh I get it now thank you!!!", "session_id": 792, "sequence_id": 162, "annotations": []}
{"role": "volunteer", "content": "I\u2019m glad! :)", "session_id": 792, "sequence_id": 163, "annotations": []}
{"role": "volunteer", "content": "So for y = -2x + 2, the y-intercept is the same (0,2)", "session_id": 792, "sequence_id": 164, "annotations": []}
{"role": "student", "content": "oh so its -2 this time?", "session_id": 792, "sequence_id": 165, "annotations": []}
{"role": "volunteer", "content": "You\u2019re basically using the same process as you did for y =2x + 2! :) yes, you\u2019re moving DOWN 2 units while moving right 1 unit!", "session_id": 792, "sequence_id": 166, "annotations": []}
{"role": "student", "content": "ohhhhhhh okay I get it !!", "session_id": 792, "sequence_id": 167, "annotations": []}
{"role": "volunteer", "content": "Yep! could you continue the y = -x + 4 graph? :)", "session_id": 792, "sequence_id": 168, "annotations": []}
{"role": "student", "content": "you're taking about the graph at the top?", "session_id": 792, "sequence_id": 169, "annotations": []}
{"role": "student", "content": "talking*", "session_id": 792, "sequence_id": 170, "annotations": []}
{"role": "volunteer", "content": "Yep, I want to make sure I do help you solve the problem you originally wanted help on haha", "session_id": 792, "sequence_id": 171, "annotations": []}
{"role": "volunteer", "content": "it does let you scroll up and down the whiteboard, it\u2019s this skinny grey line at the right side of the screen!", "session_id": 792, "sequence_id": 172, "annotations": []}
{"role": "student", "content": "oh okay I see !! where am I starting from?", "session_id": 792, "sequence_id": 173, "annotations": []}
{"role": "volunteer", "content": "I\u2019m on iPad, so it\u2019s also possible to scroll by just using two fingers and moving them up and down", "session_id": 792, "sequence_id": 174, "annotations": []}
{"role": "volunteer", "content": "I want you to continue the line starting at (-2,6)", "session_id": 792, "sequence_id": 175, "annotations": []}
{"role": "volunteer", "content": "I noticed that you\u2019re great at figuring out a point\u2019s coordinates! :)", "session_id": 792, "sequence_id": 176, "annotations": []}
{"role": "student", "content": "omg thank you I don't know if I did that one right though", "session_id": 792, "sequence_id": 177, "annotations": []}
{"role": "volunteer", "content": "Fantastic!!!", "session_id": 792, "sequence_id": 178, "annotations": []}
{"role": "student", "content": "oh YAY!", "session_id": 792, "sequence_id": 179, "annotations": []}
{"role": "volunteer", "content": "You did do it correct! :)", "session_id": 792, "sequence_id": 180, "annotations": []}
{"role": "student", "content": "do I keep going?", "session_id": 792, "sequence_id": 181, "annotations": []}
{"role": "volunteer", "content": "Technically, you\u2019ve graphed enough if we take a look at the domain restrictions now!", "session_id": 792, "sequence_id": 182, "annotations": []}
{"role": "volunteer", "content": "I\u2019m gonna erase a bit so that there\u2019s more space, one sec", "session_id": 792, "sequence_id": 183, "annotations": []}
{"role": "student", "content": "okay !!!", "session_id": 792, "sequence_id": 184, "annotations": []}
{"role": "volunteer", "content": "Ok, so the restriction for the top part is -3 < x < 2!", "session_id": 792, "sequence_id": 185, "annotations": []}
{"role": "volunteer", "content": "So, should we use an open dot or a closed dot at x = -3?", "session_id": 792, "sequence_id": 186, "annotations": []}
{"role": "student", "content": "open!!!!!", "session_id": 792, "sequence_id": 187, "annotations": []}
{"role": "volunteer", "content": "Yep! I\u2019ll draw that on. How about x =2?", "session_id": 792, "sequence_id": 188, "annotations": []}
{"role": "student", "content": "closed?", "session_id": 792, "sequence_id": 189, "annotations": []}
{"role": "student", "content": "wait there's no inequality there I'm not sure", "session_id": 792, "sequence_id": 190, "annotations": []}
{"role": "volunteer", "content": "Oh, I see your confusion! One sec!", "session_id": 792, "sequence_id": 191, "annotations": []}
{"role": "volunteer", "content": "So - 3 < x < 2 is telling me that at x = -3 is an open dot, because I see that the inequality sign has no line! So what about at x = 2?", "session_id": 792, "sequence_id": 192, "annotations": []}
{"role": "student", "content": "ahh wait open then?", "session_id": 792, "sequence_id": 193, "annotations": []}
{"role": "volunteer", "content": "Yep!!", "session_id": 792, "sequence_id": 194, "annotations": []}
{"role": "volunteer", "content": "(2,2) is a normally point on y = -x + 4. BUT because the domain (x-values) restrictions DON\u2019T include 2 as being apart of the piecewise function, this problem is asking us to go to where x = 2 is and put an open dot!", "session_id": 792, "sequence_id": 195, "annotations": []}
{"role": "volunteer", "content": "If the restrictions say that only the x values between -3 and 2 are included, would (4,0) be included in this piecewise function? :)", "session_id": 792, "sequence_id": 196, "annotations": []}
{"role": "student", "content": "I don't think it would because 4 is bigger than 2 ... and its not between -3 and 2 I think..", "session_id": 792, "sequence_id": 197, "annotations": []}
{"role": "student", "content": "wait I might be wrong wait", "session_id": 792, "sequence_id": 198, "annotations": []}
{"role": "volunteer", "content": "Yay, you\u2019re correct!!", "session_id": 792, "sequence_id": 199, "annotations": []}
{"role": "student", "content": "oh YAY!!!", "session_id": 792, "sequence_id": 200, "annotations": []}
{"role": "volunteer", "content": "4 is indeed bigger than 2! Same with 3! So I\u2019ll be erasing those parts of the line.", "session_id": 792, "sequence_id": 201, "annotations": []}
{"role": "student", "content": "okok!!!", "session_id": 792, "sequence_id": 202, "annotations": []}
{"role": "volunteer", "content": "We\u2019re now done with graphing the top equation! We successfully graphed y = -x +4, then we successfully followed the domain restrictions!", "session_id": 792, "sequence_id": 203, "annotations": []}
{"role": "volunteer", "content": "-3 < x < 2 is saying that the points with an x-coordinate between -3 and 2 ARE included in this piecewise function!", "session_id": 792, "sequence_id": 204, "annotations": []}
{"role": "volunteer", "content": "Now we\u2019ll have to graph f(x) = 1/2x + 4. Can you try it? :)", "session_id": 792, "sequence_id": 205, "annotations": []}
{"role": "student", "content": "do you want me to graph it on the same graph or?", "session_id": 792, "sequence_id": 206, "annotations": []}
{"role": "volunteer", "content": "Yep!", "session_id": 792, "sequence_id": 207, "annotations": []}
{"role": "volunteer", "content": "Also, you\u2019re doing great! I love how you\u2019re thinking through this problem :)", "session_id": 792, "sequence_id": 208, "annotations": []}
{"role": "volunteer", "content": "You can change the colors of your pen by clicking on the paint palette icon, that might visually help you graph!", "session_id": 792, "sequence_id": 209, "annotations": []}
{"role": "volunteer", "content": "When graphing, I would look at the slope! What is the slope of y = 1/2x + 4, and how much does it want you to move right and up?", "session_id": 792, "sequence_id": 210, "annotations": []}
{"role": "student", "content": "is the slope 1/2?", "session_id": 792, "sequence_id": 211, "annotations": []}
{"role": "volunteer", "content": "Yes!! :) these equations are written in slope intercept form, y = mx + b, so you\u2019re right!", "session_id": 792, "sequence_id": 212, "annotations": []}
{"role": "student", "content": "and do I plot a point at (0,4) ?", "session_id": 792, "sequence_id": 213, "annotations": []}
{"role": "volunteer", "content": "Yes, because the y-intercept is (0,4) :)", "session_id": 792, "sequence_id": 214, "annotations": []}
{"role": "student", "content": "I'm kinda overthinking I don't want to make a mistake SORR", "session_id": 792, "sequence_id": 215, "annotations": []}
{"role": "student", "content": "Mr. Lee", "session_id": 792, "sequence_id": 216, "annotations": [{"pii_type": "PERSON", "surrogate": "Mr. Lee", "start": 0, "end": 7}]}
{"role": "volunteer", "content": "That\u2019s totally ok!!! Remember, mistakes are apart of learning :)", "session_id": 792, "sequence_id": 217, "annotations": []}
{"role": "volunteer", "content": "YAYYY!! Looking great!!", "session_id": 792, "sequence_id": 218, "annotations": []}
{"role": "student", "content": "I keep going up? or do I go left now", "session_id": 792, "sequence_id": 219, "annotations": []}
{"role": "volunteer", "content": "Keep going up for two more points, and then go left please :)", "session_id": 792, "sequence_id": 220, "annotations": []}
{"role": "student", "content": "Mr. Lee thank youuuuuu!!", "session_id": 792, "sequence_id": 221, "annotations": [{"pii_type": "PERSON", "surrogate": "Mr. Lee", "start": 0, "end": 7}]}
{"role": "volunteer", "content": "No problem!! :)", "session_id": 792, "sequence_id": 222, "annotations": []}
{"role": "student", "content": "is that good", "session_id": 792, "sequence_id": 223, "annotations": []}
{"role": "volunteer", "content": "Yep!", "session_id": 792, "sequence_id": 224, "annotations": []}
{"role": "volunteer", "content": "Please extend the line to the left now :)", "session_id": 792, "sequence_id": 225, "annotations": []}
{"role": "student", "content": "do I start from (0,5) ?", "session_id": 792, "sequence_id": 226, "annotations": []}
{"role": "volunteer", "content": "Close! The y-intercept is (0,4), so start from (0,4)! :)", "session_id": 792, "sequence_id": 227, "annotations": []}
{"role": "student", "content": "OH oh that's what I meant to say I mixed it up sorry heh", "session_id": 792, "sequence_id": 228, "annotations": []}
{"role": "student", "content": "okay I'm gonna try now", "session_id": 792, "sequence_id": 229, "annotations": []}
{"role": "volunteer", "content": "No problem, it\u2019s okay! :) thank you for being so hardworking!", "session_id": 792, "sequence_id": 230, "annotations": []}
{"role": "volunteer", "content": "Nice! Can you connect them now? :)", "session_id": 792, "sequence_id": 231, "annotations": []}
{"role": "student", "content": "ok !!", "session_id": 792, "sequence_id": 232, "annotations": []}
{"role": "student", "content": "im sorry the line looks so bad", "session_id": 792, "sequence_id": 233, "annotations": []}
{"role": "volunteer", "content": "It\u2019s a perfectly great line! :)", "session_id": 792, "sequence_id": 234, "annotations": []}
{"role": "volunteer", "content": "Ok, let\u2019s take a look at the domain restrictions!", "session_id": 792, "sequence_id": 235, "annotations": []}
{"role": "volunteer", "content": "So at x = 2, will we have a closed dot or an open dot?", "session_id": 792, "sequence_id": 236, "annotations": []}
{"role": "student", "content": "open????", "session_id": 792, "sequence_id": 237, "annotations": []}
{"role": "volunteer", "content": "Yes! The domain restrictions for this second line is 2 < x <(with a line) 6, so it\u2019s saying that the point at x = 2 IS NOT included in the piecewise function!", "session_id": 792, "sequence_id": 238, "annotations": []}
{"role": "student", "content": "ohh okay!!", "session_id": 792, "sequence_id": 239, "annotations": []}
{"role": "volunteer", "content": "I will add a open circle on the point that\u2019s on x = 2!", "session_id": 792, "sequence_id": 240, "annotations": []}
{"role": "volunteer", "content": "Now, what about the point that\u2019s on x = 6? Would that be an open dot or a closed dot, when you look at the restrictions, 2 < x <(has line underneath) 6", "session_id": 792, "sequence_id": 241, "annotations": []}
{"role": "student", "content": "closed!!!", "session_id": 792, "sequence_id": 242, "annotations": []}
{"role": "volunteer", "content": "Yes, because the point at x = 6 IS apart of the piecewise function! I\u2019ll add a closed dot :)", "session_id": 792, "sequence_id": 243, "annotations": []}
{"role": "volunteer", "content": "(8,8) is a point on y = 1/2x + 4, but is that point included in the domain restriction of 2 < x <(with line underneath) 6?", "session_id": 792, "sequence_id": 244, "annotations": []}
{"role": "student", "content": "no I don't think its included because doesnt x have to be between 2 and 6 , and 8 goes over 6 so it isn't In the domain?? and 8 is bigger than 6 so its not included in the restrict domain right???", "session_id": 792, "sequence_id": 245, "annotations": []}
{"role": "student", "content": "ithink", "session_id": 792, "sequence_id": 246, "annotations": []}
{"role": "volunteer", "content": "Yes, that\u2019s a fantastic explanation!!> amazing job Alex!!! :)", "session_id": 792, "sequence_id": 247, "annotations": [{"pii_type": "PERSON", "surrogate": "Alex", "start": 51, "end": 55}]}
{"role": "student", "content": "omg THANK YOU!!", "session_id": 792, "sequence_id": 248, "annotations": []}
{"role": "volunteer", "content": "Can I also erase the point at x = 7, based on those domain restrictions? :)", "session_id": 792, "sequence_id": 249, "annotations": []}
{"role": "student", "content": "yes ! because 7 is bigger than 6 right?", "session_id": 792, "sequence_id": 250, "annotations": []}
{"role": "volunteer", "content": "Yep! I\u2019ll erase it now!", "session_id": 792, "sequence_id": 251, "annotations": []}
{"role": "volunteer", "content": "How about the point at x = -1? Is that included in the piecewise function, when you look at the domain restrictions?", "session_id": 792, "sequence_id": 252, "annotations": []}
{"role": "student", "content": "yes it is because -1 is between -3 and 2 I think.. wait are you talking about both of them or just \"2<x< (closed) 6 \" hel", "session_id": 792, "sequence_id": 253, "annotations": []}
{"role": "volunteer", "content": "One sec, I\u2019ll clarify!", "session_id": 792, "sequence_id": 254, "annotations": []}
{"role": "volunteer", "content": "So the circled green domain restriction at the top ONLY applies to f(x) = -x + 4. The circled RED domain restriction ONLY applies to f(x) = 1/2x + 4.", "session_id": 792, "sequence_id": 255, "annotations": []}
{"role": "volunteer", "content": "So you have to make sure you look at them separately, if that makes sense :)", "session_id": 792, "sequence_id": 256, "annotations": []}
{"role": "volunteer", "content": "Right now, we\u2019re only looking at y = 1/2x + 4! So we\u2019re only looking at its domain restriction, not the top equation\u2019s domain restriction!", "session_id": 792, "sequence_id": 257, "annotations": []}
{"role": "student", "content": "oh okay then !! well since -1 Is less than 2 I don't think it fits in that domain.. ithink", "session_id": 792, "sequence_id": 258, "annotations": []}
{"role": "volunteer", "content": "Yes, you\u2019re right!!! So I\u2019ll erase away that part as well!", "session_id": 792, "sequence_id": 259, "annotations": []}
{"role": "volunteer", "content": "What about the point at x = 1?", "session_id": 792, "sequence_id": 260, "annotations": []}
{"role": "student", "content": "nope because 1 is less than 2 right ..?", "session_id": 792, "sequence_id": 261, "annotations": []}
{"role": "volunteer", "content": "Yes, you\u2019re right!!! So I\u2019m gonna erase that part of the line", "session_id": 792, "sequence_id": 262, "annotations": []}
{"role": "volunteer", "content": "We\u2019re done! We\u2019ve successfully graphed the whole problem!! YAY!!!", "session_id": 792, "sequence_id": 263, "annotations": []}
{"role": "student", "content": "OMG YAY!!!!", "session_id": 792, "sequence_id": 264, "annotations": []}
{"role": "volunteer", "content": "Now we have to find f(2)!", "session_id": 792, "sequence_id": 265, "annotations": []}
{"role": "student", "content": "OH", "session_id": 792, "sequence_id": 266, "annotations": []}
{"role": "volunteer", "content": "But\u2026 let\u2019s look at the domain restrictions.. \ud83e\udd14\ud83e\udd14\ud83e\udd14", "session_id": 792, "sequence_id": 267, "annotations": []}
{"role": "volunteer", "content": "Is there a point at where x = 2, or are there only holes?", "session_id": 792, "sequence_id": 268, "annotations": []}
{"role": "volunteer", "content": "Also, Alex) is basically asking for the output for when you plug in x = 2 in one of those equations equations!", "session_id": 792, "sequence_id": 269, "annotations": [{"pii_type": "PERSON", "surrogate": "Alex", "start": 6, "end": 10}]}
{"role": "student", "content": "uhhh I think there's a point at x=2 ..", "session_id": 792, "sequence_id": 270, "annotations": []}
{"role": "student", "content": "WAIT nvm maybe not I'm confused", "session_id": 792, "sequence_id": 271, "annotations": []}
{"role": "volunteer", "content": "The correct answer is no, there\u2019s not a point at x = 2! Because the open dots indicate that there\u2019s a hole in this piecewise function, there\u2019s no point that exists at x = 2!", "session_id": 792, "sequence_id": 272, "annotations": []}
{"role": "volunteer", "content": "Another way to think about it is: look at the domain restrictions. The < sign DON\u2019T include x = 2!", "session_id": 792, "sequence_id": 273, "annotations": []}
{"role": "student", "content": "ohhhhhhh I see !!!!", "session_id": 792, "sequence_id": 274, "annotations": []}
{"role": "volunteer", "content": "So, f(2) =undefined! Because no points exist at x = 2!", "session_id": 792, "sequence_id": 275, "annotations": []}
{"role": "volunteer", "content": "If both domain restrictions don\u2019t include x =2 to be apart of the piecewise function, then the point at x = 2 is undefined in this piecewise function!", "session_id": 792, "sequence_id": 276, "annotations": []}
{"role": "volunteer", "content": "Does this help? :)", "session_id": 792, "sequence_id": 277, "annotations": []}
{"role": "student", "content": "oh yeah it does but it was a lot for me to process haha", "session_id": 792, "sequence_id": 278, "annotations": []}
{"role": "volunteer", "content": "Yeah, piecewise functions are a lot to get used to! \ud83d\ude05 they have a lot of parts to consider!", "session_id": 792, "sequence_id": 279, "annotations": []}
{"role": "volunteer", "content": "I\u2019ll have to go soon, but if you need more help, you can always request a new session!", "session_id": 792, "sequence_id": 280, "annotations": []}
{"role": "volunteer", "content": "And if a tutor isn\u2019t available, Khan Academy is a fantastic resource, I\u2019m sure they have videos on piecewise functions! :)", "session_id": 792, "sequence_id": 281, "annotations": [{"pii_type": "SCHOOL", "surrogate": "Khan Academy", "start": 32, "end": 44}]}
{"role": "volunteer", "content": "You did REALLY amazing today, thanks for sticking with me and not giving up on the problem! Remember to be kind to yourself, you\u2019re a great student! :)", "session_id": 792, "sequence_id": 282, "annotations": []}
{"role": "student", "content": "okay thank you so much for helping me today !!!! I appreciate your help!!!!!! you're so nice!!!!", "session_id": 792, "sequence_id": 283, "annotations": []}
{"role": "volunteer", "content": "You\u2019ll get better the more you practice these problems, I promise :)", "session_id": 792, "sequence_id": 284, "annotations": []}
{"role": "volunteer", "content": "Of course, have a great rest of your day Alex! :)", "session_id": 792, "sequence_id": 285, "annotations": [{"pii_type": "PERSON", "surrogate": "Alex", "start": 41, "end": 45}]}
{"role": "student", "content": "you too !!!!!!", "session_id": 792, "sequence_id": 286, "annotations": []}
{"role": "volunteer", "content": "Hi!", "session_id": 1005, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "Hope you are doing well today", "session_id": 1005, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "What do you need help with?", "session_id": 1005, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "Hello! Im good tysm for asking, how are you?\ud83d\ude01", "session_id": 1005, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "Im great", "session_id": 1005, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "can you see when I draw?", "session_id": 1005, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "Great to hear! May you please help me with this question?", "session_id": 1005, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "Yep", "session_id": 1005, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "Ok!", "session_id": 1005, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "So we are trying to find least to greatest", "session_id": 1005, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "\ud83d\udc4d", "session_id": 1005, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "A strategy I use when calculating these problems is", "session_id": 1005, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "converting everything to decimals", "session_id": 1005, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "Do you want to try that?", "session_id": 1005, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "I think there is a typo tho. Bc for 2 of the questions it says -2/5 and the other 2 questions it says 2/5", "session_id": 1005, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "Yea I do!", "session_id": 1005, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "Ok Leo great!", "session_id": 1005, "sequence_id": 16, "annotations": [{"pii_type": "PERSON", "surrogate": "Leo", "start": 3, "end": 6}]}
{"role": "volunteer", "content": "There is no typo", "session_id": 1005, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "On problems like these, there will always be different sets of numbers", "session_id": 1005, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "So ready to start", "session_id": 1005, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "Oh ok yes", "session_id": 1005, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "ok!", "session_id": 1005, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "First, do you know how to turn fractions into decimals?", "session_id": 1005, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "Do you want me to start off with the first problem and convert all the values into decimals?", "session_id": 1005, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "I do", "session_id": 1005, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "Ok great!", "session_id": 1005, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "we an turn everything into decimals then", "session_id": 1005, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "Ok", "session_id": 1005, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "lets start with !.", "session_id": 1005, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "A.", "session_id": 1005, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "Ok!", "session_id": 1005, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "-2/5 would be -0.4", "session_id": 1005, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "Great!", "session_id": 1005, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "what is -1/2", "session_id": 1005, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "-1/2 would be 0.5", "session_id": 1005, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "0.5?", "session_id": 1005, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "remeber there is a - behind 1/2", "session_id": 1005, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "Sorry I meant -0.5", "session_id": 1005, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "No problem!", "session_id": 1005, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "Then 0 would js be 0", "session_id": 1005, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "Is this correctlt organized from least to greatest?", "session_id": 1005, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "One sec", "session_id": 1005, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 1005, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "can you see my typing?", "session_id": 1005, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "on the whiteboard", "session_id": 1005, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "It\u2019s not", "session_id": 1005, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "oh..", "session_id": 1005, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "can you see now?", "session_id": 1005, "sequence_id": 47, "annotations": []}
{"role": "student", "content": "Sorry I meant like it\u2019s not correct", "session_id": 1005, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "The question", "session_id": 1005, "sequence_id": 49, "annotations": []}
{"role": "student", "content": "I can see your screen tho", "session_id": 1005, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "ok great!", "session_id": 1005, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "you got that right", "session_id": 1005, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "so it would not be A", "session_id": 1005, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "lets check Leo", "session_id": 1005, "sequence_id": 54, "annotations": [{"pii_type": "PERSON", "surrogate": "Leo", "start": 11, "end": 14}]}
{"role": "student", "content": "Yes", "session_id": 1005, "sequence_id": 55, "annotations": []}
{"role": "student", "content": "Ok", "session_id": 1005, "sequence_id": 56, "annotations": []}
{"role": "student", "content": "-1/2 is -0.5", "session_id": 1005, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 1005, "sequence_id": 58, "annotations": []}
{"role": "student", "content": "And 2/5 would be 0.4", "session_id": 1005, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "So does b make sense?", "session_id": 1005, "sequence_id": 60, "annotations": []}
{"role": "student", "content": "Yes ma\u2019am", "session_id": 1005, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "I'm a boy", "session_id": 1005, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "Hehe", "session_id": 1005, "sequence_id": 63, "annotations": []}
{"role": "student", "content": "Oh shoot sorry", "session_id": 1005, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "No it's fine", "session_id": 1005, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "and also I don't think i'm any older than u are", "session_id": 1005, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "so anyway, is this answer right?", "session_id": 1005, "sequence_id": 67, "annotations": []}
{"role": "student", "content": "Oh", "session_id": 1005, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "if it is, then you have you correct answer", "session_id": 1005, "sequence_id": 69, "annotations": []}
{"role": "student", "content": "I think it\u2019s correct", "session_id": 1005, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "Then you are right the answer is B", "session_id": 1005, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "!", "session_id": 1005, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "Is there anythign else you need help with", "session_id": 1005, "sequence_id": 73, "annotations": []}
{"role": "student", "content": "Nope Mr. David! Have a good evening.", "session_id": 1005, "sequence_id": 74, "annotations": [{"pii_type": "PERSON", "surrogate": "Mr. David", "start": 5, "end": 14}]}
{"role": "volunteer", "content": "You too!", "session_id": 1005, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "bye!", "session_id": 1005, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "Hi Liam!", "session_id": 1266, "sequence_id": 0, "annotations": [{"pii_type": "PERSON", "surrogate": "Liam", "start": 3, "end": 7}]}
{"role": "student", "content": "Hireonal weathercraft took off on a.", "session_id": 1266, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "Don't mind that. That was for my TV.", "session_id": 1266, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "I'm sorry I can't hear your audio", "session_id": 1266, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "we still don't have.", "session_id": 1266, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "Do you speak English and Spanish.", "session_id": 1266, "sequence_id": 5, "annotations": [{"pii_type": "NRP", "surrogate": "Spanish", "start": 25, "end": 32}]}
{"role": "volunteer", "content": "yes!", "session_id": 1266, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "I can hear you now", "session_id": 1266, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "I'm gonna address the problem on the board.", "session_id": 1266, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "sounds great!", "session_id": 1266, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "Can you see the problem on the board?", "session_id": 1266, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "yes!", "session_id": 1266, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "Can you try to talk to me through your mic?", "session_id": 1266, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "sure! give me a second please", "session_id": 1266, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "Oh, OK", "session_id": 1266, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "I", "session_id": 1266, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 1266, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "everything.", "session_id": 1266, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "OK. So", "session_id": 1266, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "the side here is the side, right?", "session_id": 1266, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "Say that again. Sorry.", "session_id": 1266, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "The side over here is the side we're trying to bend. Is that right?", "session_id": 1266, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "OK. The side over here.", "session_id": 1266, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "I repeat that again, sorry. Hang on, give me a second.", "session_id": 1266, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "say that again", "session_id": 1266, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "Hi, the side over here is the side that we're trying to get right?", "session_id": 1266, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "that that's, that's exceeding the limit. It's about to see the limit, uh.", "session_id": 1266, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "Can you hear me", "session_id": 1266, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "do you think you can hear me?", "session_id": 1266, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "yes but my volume is down low", "session_id": 1266, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "would you still like me to explain it to you verbally or through chat?", "session_id": 1266, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "verbally", "session_id": 1266, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 1266, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "do you mind responding in the chat if you are comfortable then?", "session_id": 1266, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "sure", "session_id": 1266, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "great thanks!", "session_id": 1266, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "you can still talk to me through your mic", "session_id": 1266, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "yup!", "session_id": 1266, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "So, um,", "session_id": 1266, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "have you learned about trigonometric functions like sine, cosine, tangent.", "session_id": 1266, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "yes we just started that today", "session_id": 1266, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "OK, that's great. So,", "session_id": 1266, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "um", "session_id": 1266, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "why don't we start out by writing like the formulas for sine and cosine, and tangent. So,", "session_id": 1266, "sequence_id": 43, "annotations": []}
{"role": "student", "content": "you speak in English, right?", "session_id": 1266, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "yeah", "session_id": 1266, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "Just making sure.", "session_id": 1266, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "So, do you know what the sign of X is equal to, like in terms of ratio.", "session_id": 1266, "sequence_id": 47, "annotations": []}
{"role": "student", "content": "Not exactly, yeah, I kind of forgot that one.", "session_id": 1266, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "That's OK. Um, so the side effects is opposite", "session_id": 1266, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "over hypotenuse.", "session_id": 1266, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "and", "session_id": 1266, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "the cosine of X is equal to adjacent.", "session_id": 1266, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "over hypotenuse", "session_id": 1266, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "and then the tangent of X.", "session_id": 1266, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "is opposite over a she.", "session_id": 1266, "sequence_id": 55, "annotations": []}
{"role": "student", "content": "Is the drawing in the way?", "session_id": 1266, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "No, that's OK", "session_id": 1266, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "I can move this one", "session_id": 1266, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "OK, so, so far, do you understand?", "session_id": 1266, "sequence_id": 59, "annotations": []}
{"role": "student", "content": "Yeah, so I, when I saw for X, I had to find a way to decimal I have to run into the nearest tent.", "session_id": 1266, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 1266, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "Um, so for this one, we're gonna try and use the Engle 37. So everything", "session_id": 1266, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "is oriented to the angle of 37, which means that this is the opposite side.", "session_id": 1266, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "Oh my God", "session_id": 1266, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "Just give me a second", "session_id": 1266, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "And do you know what this side of X is?", "session_id": 1266, "sequence_id": 66, "annotations": []}
{"role": "student", "content": "partners.", "session_id": 1266, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "That's right.", "session_id": 1266, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "This is the hypotenuse", "session_id": 1266, "sequence_id": 69, "annotations": []}
{"role": "student", "content": "I actually got that right. Wow.", "session_id": 1266, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 1266, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "you're doing great. And then,", "session_id": 1266, "sequence_id": 72, "annotations": []}
{"role": "student", "content": "that there might be something.", "session_id": 1266, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "you know what this side of 48 is.", "session_id": 1266, "sequence_id": 74, "annotations": []}
{"role": "student", "content": "on that exactly.", "session_id": 1266, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "So we have the hypotenuse and the opposite, and if you look in like the sign, cosine and tangent form.", "session_id": 1266, "sequence_id": 76, "annotations": []}
{"role": "student", "content": "you said?", "session_id": 1266, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "Yeah, that's, that's right. It's the adjacent side.", "session_id": 1266, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "So, then we need to use one of the sign, cosine, or tangent functions to find the hypotenuse, which is X Can you see any function like sign, cosine, or tangent that involves the hypotenuse and the adjacent.", "session_id": 1266, "sequence_id": 79, "annotations": []}
{"role": "student", "content": "Um, let's see.", "session_id": 1266, "sequence_id": 80, "annotations": []}
{"role": "student", "content": "Not exactly.", "session_id": 1266, "sequence_id": 81, "annotations": []}
{"role": "volunteer", "content": "OK, so here the sign involves the opposite side, sign of X involves the opposite side and the hypotenuse. The cosine of effect involves the adjacent side and the hypotenuse, and the tangent of involves the opposite side and the adjacent. Can you maybe see which one of them has hypotenuse and adjacent.", "session_id": 1266, "sequence_id": 82, "annotations": []}
{"role": "student", "content": "X and 48.", "session_id": 1266, "sequence_id": 83, "annotations": []}
{"role": "volunteer", "content": "Yeah, so we're trying to use X and 48, which is basically the high pot news and the adjacent. And do you see that the cosine function has the adjacent and the hypotenuse.", "session_id": 1266, "sequence_id": 84, "annotations": []}
{"role": "student", "content": "Yeah, can I ask you a question?", "session_id": 1266, "sequence_id": 85, "annotations": []}
{"role": "volunteer", "content": "Of course", "session_id": 1266, "sequence_id": 86, "annotations": []}
{"role": "student", "content": "Are you a student or are you a teacher?", "session_id": 1266, "sequence_id": 87, "annotations": []}
{"role": "volunteer", "content": "Um, I'm a student currently.", "session_id": 1266, "sequence_id": 88, "annotations": []}
{"role": "volunteer", "content": "OK, let's get back on track.", "session_id": 1266, "sequence_id": 89, "annotations": []}
{"role": "volunteer", "content": "So", "session_id": 1266, "sequence_id": 90, "annotations": []}
{"role": "volunteer", "content": "you see that cosine has both adjacent and hypotenuse, right?", "session_id": 1266, "sequence_id": 91, "annotations": []}
{"role": "student", "content": "Yeah.", "session_id": 1266, "sequence_id": 92, "annotations": []}
{"role": "volunteer", "content": "So we want to use cosine. So", "session_id": 1266, "sequence_id": 93, "annotations": []}
{"role": "volunteer", "content": "here we're gonna write cosine of something equals. Can you tell me what the adjacent side is here in the triangle.", "session_id": 1266, "sequence_id": 94, "annotations": []}
{"role": "student", "content": "48?", "session_id": 1266, "sequence_id": 95, "annotations": []}
{"role": "volunteer", "content": "That's right. 48 divided by, can you tell me the hypotenuse?", "session_id": 1266, "sequence_id": 96, "annotations": []}
{"role": "student", "content": "X.", "session_id": 1266, "sequence_id": 97, "annotations": []}
{"role": "volunteer", "content": "Yeah, so the co-sign of something is 48 divided by x. Now we said we were going to use a specific angle to start with to orient ourselves. And what do you think that angle is?", "session_id": 1266, "sequence_id": 98, "annotations": []}
{"role": "student", "content": "What grade are you in? I'm just curious.", "session_id": 1266, "sequence_id": 99, "annotations": []}
{"role": "volunteer", "content": "I'm sorry, I can't answer those questions right now, but", "session_id": 1266, "sequence_id": 100, "annotations": []}
{"role": "student", "content": "like", "session_id": 1266, "sequence_id": 101, "annotations": []}
{"role": "student", "content": "I", "session_id": 1266, "sequence_id": 102, "annotations": []}
{"role": "volunteer", "content": "can you maybe tell me the angle?", "session_id": 1266, "sequence_id": 103, "annotations": []}
{"role": "student", "content": "Yes, sorry. Um, what's the question again?", "session_id": 1266, "sequence_id": 104, "annotations": []}
{"role": "volunteer", "content": "So we", "session_id": 1266, "sequence_id": 105, "annotations": []}
{"role": "volunteer", "content": "need to find the angle that goes in the cosine function, and", "session_id": 1266, "sequence_id": 106, "annotations": []}
{"role": "volunteer", "content": "we", "session_id": 1266, "sequence_id": 107, "annotations": []}
{"role": "volunteer", "content": "said that we were gonna look at one angle and orient ourselves around that angle? Do you remember what that angle is?", "session_id": 1266, "sequence_id": 108, "annotations": []}
{"role": "student", "content": "90?", "session_id": 1266, "sequence_id": 109, "annotations": []}
{"role": "volunteer", "content": "Close, it's very close. Yeah, 90 is one of the known angles. What other angle", "session_id": 1266, "sequence_id": 110, "annotations": []}
{"role": "volunteer", "content": "do we know currently", "session_id": 1266, "sequence_id": 111, "annotations": []}
{"role": "student", "content": "48.", "session_id": 1266, "sequence_id": 112, "annotations": []}
{"role": "volunteer", "content": "That is a side that we know. What about this angle of 37.", "session_id": 1266, "sequence_id": 113, "annotations": []}
{"role": "student", "content": "37", "session_id": 1266, "sequence_id": 114, "annotations": []}
{"role": "volunteer", "content": "Yep.", "session_id": 1266, "sequence_id": 115, "annotations": []}
{"role": "student", "content": "right", "session_id": 1266, "sequence_id": 116, "annotations": []}
{"role": "student", "content": "like", "session_id": 1266, "sequence_id": 117, "annotations": []}
{"role": "volunteer", "content": "We're choosing 37 because we", "session_id": 1266, "sequence_id": 118, "annotations": []}
{"role": "student", "content": "so they they look or they, they slow the.", "session_id": 1266, "sequence_id": 119, "annotations": []}
{"role": "student", "content": "time.", "session_id": 1266, "sequence_id": 120, "annotations": []}
{"role": "volunteer", "content": "we said that this side is the opposite and this side is the hypotenuse and this side is the adjacent based on the location of the angle that we oriented ourselves from, OK?", "session_id": 1266, "sequence_id": 121, "annotations": []}
{"role": "student", "content": "this airplane.", "session_id": 1266, "sequence_id": 122, "annotations": []}
{"role": "volunteer", "content": "So we have an equation that we can solve, cosine of 37 equals 48 over x.", "session_id": 1266, "sequence_id": 123, "annotations": []}
{"role": "volunteer", "content": "and", "session_id": 1266, "sequence_id": 124, "annotations": []}
{"role": "volunteer", "content": "can you maybe move X so that it's alone, like apart from the 48, and then", "session_id": 1266, "sequence_id": 125, "annotations": []}
{"role": "volunteer", "content": "yeah, let's, let's do it. Let's start from there. Can you isolate the eggs?", "session_id": 1266, "sequence_id": 126, "annotations": []}
{"role": "student", "content": "How do I do that exactly?", "session_id": 1266, "sequence_id": 127, "annotations": []}
{"role": "volunteer", "content": "OK, let's walk through this together.", "session_id": 1266, "sequence_id": 128, "annotations": []}
{"role": "volunteer", "content": "So the cosine of 37.", "session_id": 1266, "sequence_id": 129, "annotations": []}
{"role": "volunteer", "content": "equals 40", "session_id": 1266, "sequence_id": 130, "annotations": []}
{"role": "volunteer", "content": "8", "session_id": 1266, "sequence_id": 131, "annotations": []}
{"role": "volunteer", "content": "over", "session_id": 1266, "sequence_id": 132, "annotations": []}
{"role": "volunteer", "content": "X", "session_id": 1266, "sequence_id": 133, "annotations": []}
{"role": "volunteer", "content": "and we want to get X all alone by its side.", "session_id": 1266, "sequence_id": 134, "annotations": []}
{"role": "volunteer", "content": "So", "session_id": 1266, "sequence_id": 135, "annotations": []}
{"role": "student", "content": "I", "session_id": 1266, "sequence_id": 136, "annotations": []}
{"role": "volunteer", "content": "first of all, we don't like that X is in the denominator of the fraction, right?", "session_id": 1266, "sequence_id": 137, "annotations": []}
{"role": "student", "content": "Wait a second fuel on board. I'm gonna land with a higher la", "session_id": 1266, "sequence_id": 138, "annotations": []}
{"role": "student", "content": "picker.", "session_id": 1266, "sequence_id": 139, "annotations": []}
{"role": "volunteer", "content": "OK, are you still with me", "session_id": 1266, "sequence_id": 140, "annotations": []}
{"role": "student", "content": "program, but this guy's, um, so can't you put divide under divided by one under the coach 37.", "session_id": 1266, "sequence_id": 141, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 1266, "sequence_id": 142, "annotations": []}
{"role": "volunteer", "content": "We can absolutely do that. And then the you know cross multiplication?", "session_id": 1266, "sequence_id": 143, "annotations": []}
{"role": "student", "content": "yes", "session_id": 1266, "sequence_id": 144, "annotations": []}
{"role": "volunteer", "content": "OK, so then it would be X.", "session_id": 1266, "sequence_id": 145, "annotations": []}
{"role": "volunteer", "content": "times cosine of 37 equals 48. Is this right?", "session_id": 1266, "sequence_id": 146, "annotations": []}
{"role": "student", "content": "Let me write this down for a second. Give me a second.", "session_id": 1266, "sequence_id": 147, "annotations": []}
{"role": "student", "content": "Say that again, I couldn't hear you.", "session_id": 1266, "sequence_id": 148, "annotations": []}
{"role": "volunteer", "content": "So if we do cross multiplication, like", "session_id": 1266, "sequence_id": 149, "annotations": []}
{"role": "student", "content": "Can I write this down first?", "session_id": 1266, "sequence_id": 150, "annotations": []}
{"role": "volunteer", "content": "of course", "session_id": 1266, "sequence_id": 151, "annotations": []}
{"role": "student", "content": "okay", "session_id": 1266, "sequence_id": 152, "annotations": []}
{"role": "volunteer", "content": "OK, so X times cosine of 37 equals 48, and we want to get X all by itself, that it's, that it turns out that x equals something. And so", "session_id": 1266, "sequence_id": 153, "annotations": []}
{"role": "volunteer", "content": "we don't really want this co-sign of 37 multiplied, 2 x. Do you know maybe how to get rid of the cosine of 37, that's multiplied to X.", "session_id": 1266, "sequence_id": 154, "annotations": []}
{"role": "student", "content": "Divide.", "session_id": 1266, "sequence_id": 155, "annotations": []}
{"role": "volunteer", "content": "That's absolutely right. So we divide by cosine of 37, which gives us X equals 48 divided by cosine of 37, and then", "session_id": 1266, "sequence_id": 156, "annotations": []}
{"role": "volunteer", "content": "we just put that into the calculator and round it.", "session_id": 1266, "sequence_id": 157, "annotations": []}
{"role": "student", "content": "You're smart.", "session_id": 1266, "sequence_id": 158, "annotations": []}
{"role": "volunteer", "content": "I mean, thank you for following along. I feel like you did a great job today.", "session_id": 1266, "sequence_id": 159, "annotations": []}
{"role": "student", "content": "I'Northwood High School and geometry is not my favorite thing.", "session_id": 1266, "sequence_id": 160, "annotations": [{"pii_type": "SCHOOL", "surrogate": "Northwood High School", "start": 2, "end": 23}]}
{"role": "student", "content": "I", "session_id": 1266, "sequence_id": 161, "annotations": []}
{"role": "volunteer", "content": "Can you say that one more", "session_id": 1266, "sequence_id": 162, "annotations": []}
{"role": "volunteer", "content": "time?", "session_id": 1266, "sequence_id": 163, "annotations": []}
{"role": "student", "content": "my TV at my TV. If I'm above 400 ft", "session_id": 1266, "sequence_id": 164, "annotations": []}
{"role": "student", "content": "but not quite up to the", "session_id": 1266, "sequence_id": 165, "annotations": []}
{"role": "student", "content": "No, that's from my TV, don't mind that.", "session_id": 1266, "sequence_id": 166, "annotations": []}
{"role": "volunteer", "content": "That's OK. Um, so yeah, this question is basically solved. Um, how do you feel about it?", "session_id": 1266, "sequence_id": 167, "annotations": []}
{"role": "student", "content": "What is X equal?", "session_id": 1266, "sequence_id": 168, "annotations": []}
{"role": "volunteer", "content": "X equals to 48 divided by the cosine of 37, which you can put it into a calculator and it'll basically give you a number.", "session_id": 1266, "sequence_id": 169, "annotations": []}
{"role": "student", "content": "Give me one second, let me do that.", "session_id": 1266, "sequence_id": 170, "annotations": []}
{"role": "student", "content": "I got 1.29.", "session_id": 1266, "sequence_id": 171, "annotations": []}
{"role": "volunteer", "content": "OK, I didn't check", "session_id": 1266, "sequence_id": 172, "annotations": []}
{"role": "student", "content": "You're smart.", "session_id": 1266, "sequence_id": 173, "annotations": []}
{"role": "volunteer", "content": "Thank you", "session_id": 1266, "sequence_id": 174, "annotations": []}
{"role": "volunteer", "content": "So for my calculator, I got something like 60.", "session_id": 1266, "sequence_id": 175, "annotations": []}
{"role": "volunteer", "content": "60.45", "session_id": 1266, "sequence_id": 176, "annotations": []}
{"role": "volunteer", "content": "or exactly this number.", "session_id": 1266, "sequence_id": 177, "annotations": []}
{"role": "volunteer", "content": "and it might be maybe a syntax error or um it was typed in a little funkily or something like that.", "session_id": 1266, "sequence_id": 178, "annotations": []}
{"role": "student", "content": "I'm using the demo's graphing calculator.", "session_id": 1266, "sequence_id": 179, "annotations": []}
{"role": "volunteer", "content": "Oh,", "session_id": 1266, "sequence_id": 180, "annotations": []}
{"role": "volunteer", "content": "are you on a computer right now?", "session_id": 1266, "sequence_id": 181, "annotations": []}
{"role": "student", "content": "Yeah, I'm always going to device.", "session_id": 1266, "sequence_id": 182, "annotations": []}
{"role": "volunteer", "content": "Um, if you like just open a new tab and then type in 48 divided by cosine of 37. It's gonna be um", "session_id": 1266, "sequence_id": 183, "annotations": []}
{"role": "volunteer", "content": "that's gonna be the right answer because Desmos might be using radiance instead of degrees.", "session_id": 1266, "sequence_id": 184, "annotations": []}
{"role": "volunteer", "content": "Did it give you something like 60.45mething.", "session_id": 1266, "sequence_id": 185, "annotations": []}
{"role": "student", "content": "I'm back. Sorry, I lost you", "session_id": 1266, "sequence_id": 186, "annotations": []}
{"role": "volunteer", "content": "Oh, so if you plug it into like a regular calculator and not into decimels, you should get something like 60.45mething.", "session_id": 1266, "sequence_id": 187, "annotations": []}
{"role": "student", "content": "Yeah, I did. I did it.", "session_id": 1266, "sequence_id": 188, "annotations": []}
{"role": "volunteer", "content": "OK, that's great. And that's the answer.", "session_id": 1266, "sequence_id": 189, "annotations": []}
{"role": "volunteer", "content": "Do you feel good about this problem now?", "session_id": 1266, "sequence_id": 190, "annotations": []}
{"role": "student", "content": "Yeah, I think I can handle the rest of it.", "session_id": 1266, "sequence_id": 191, "annotations": []}
{"role": "volunteer", "content": "That's great. Well, it was so nice meeting you. Great job today.", "session_id": 1266, "sequence_id": 192, "annotations": []}
{"role": "student", "content": "Thanks.", "session_id": 1266, "sequence_id": 193, "annotations": []}
{"role": "volunteer", "content": "Bye-bye", "session_id": 1266, "sequence_id": 194, "annotations": []}
{"role": "student", "content": "OK", "session_id": 1266, "sequence_id": 195, "annotations": []}
{"role": "volunteer", "content": "Hi, how are you", "session_id": 1441, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "I've got my mic on if you want to put yours on.", "session_id": 1441, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "Hello", "session_id": 1441, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "Hi, how are you tonight", "session_id": 1441, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "Um, pretty good. How are you?", "session_id": 1441, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "OK. All right", "session_id": 1441, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "So I see you have your problem up here.", "session_id": 1441, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 1441, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 1441, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "So", "session_id": 1441, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "So I, I tried to solve it because I know that usually when it's a fraction, you equal the denominator equal to 0, but it's wrong.", "session_id": 1441, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "OK. Well, that's one of the conditions and you're exactly right. It can't be -6 for sure, because", "session_id": 1441, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "division by zero is not in", "session_id": 1441, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "the domain, not allowed. Um, the other part which", "session_id": 1441, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "uh you need to be aware of is you can't have any square roots that are less than 0 in the real", "session_id": 1441, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "mind.", "session_id": 1441, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "So", "session_id": 1441, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "anything", "session_id": 1441, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "where X is", "session_id": 1441, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "less than -6.", "session_id": 1441, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "is not gonna be", "session_id": 1441, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "oh, not gonna work either.", "session_id": 1441, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "So, -6 won't work, and 6, anything lower than -6.", "session_id": 1441, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "um,", "session_id": 1441, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "will not work. So", "session_id": 1441, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "um, we're just supposed to find the domain.", "session_id": 1441, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "and let's see what your choices are.", "session_id": 1441, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "So, I think all real numbers", "session_id": 1441, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "such that X is greater than -6 will work for that.", "session_id": 1441, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "Do you see what I was saying about", "session_id": 1441, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "square roots of negative numbers.", "session_id": 1441, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "Yeah, yeah, cuz you can't have negatives in square roots.", "session_id": 1441, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "but you were right to say that 6 can't be it. -6 would be OK for the numerator.", "session_id": 1441, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "because that would be 0 in the square root of 0 is 0, so that's no problem, but", "session_id": 1441, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "um", "session_id": 1441, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "when you have -6", "session_id": 1441, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "Mhm.", "session_id": 1441, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "anything below -6 would be the square root of a negative number. So that's why", "session_id": 1441, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "all real numbers X such that X is greater than 6, looks like the answer.", "session_id": 1441, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "Oh, OK. OK. That makes sense.", "session_id": 1441, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "But you were right about -6 because that's included in that answer.", "session_id": 1441, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "Mm", "session_id": 1441, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "Yes, I was right.", "session_id": 1441, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "Um", "session_id": 1441, "sequence_id": 43, "annotations": []}
{"role": "student", "content": "now the other one I was having trouble with, it's, it's super complicated. There's, but it's good it's, it's so many words like.", "session_id": 1441, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "but", "session_id": 1441, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "Does it have something you can put out there on the whiteboard? OK.", "session_id": 1441, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "Yes, yes, it's", "session_id": 1441, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 1441, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "There we", "session_id": 1441, "sequence_id": 49, "annotations": []}
{"role": "student", "content": "that there's so many steps.", "session_id": 1441, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "All right, I see it. Thank you", "session_id": 1441, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "Mhm", "session_id": 1441, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "I'm gonna read it out loud an open box of maximum volume is to be made from a square piece of material, 24 centimeters on a side, OK.", "session_id": 1441, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "By cutting equal squares from the corners and turning up the sides as shown below.", "session_id": 1441, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 1441, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "So cutting equals squares. OK.", "session_id": 1441, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "The table shows the volume and cubic centimeters of the box for various heights", "session_id": 1441, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "X and centimeters. Use the table to estimate the maximum volume.", "session_id": 1441, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "So we really don't have to do anything but look", "session_id": 1441, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "um", "session_id": 1441, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "they're giving us a table, which had already has", "session_id": 1441, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "the answer in it.", "session_id": 1441, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "cause you the table to estimate the maximum volume.", "session_id": 1441, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "So it looks like the maximum volume", "session_id": 1441, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "it's somewhere around, well, the biggest one is 1,024.", "session_id": 1441, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "um", "session_id": 1441, "sequence_id": 66, "annotations": []}
{"role": "student", "content": "00 yeah.", "session_id": 1441, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "so", "session_id": 1441, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "um, one answer would be just to pick", "session_id": 1441, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "1,024", "session_id": 1441, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "without really doing any math about it.", "session_id": 1441, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "Um,", "session_id": 1441, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "let me think about this a minute", "session_id": 1441, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "So it's just saying to use the table, um.", "session_id": 1441, "sequence_id": 74, "annotations": []}
{"role": "volunteer", "content": "so my initial thought is just to put in 1,024", "session_id": 1441, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "What do you think", "session_id": 1441, "sequence_id": 76, "annotations": []}
{"role": "student", "content": "Mm, but don't I have to estimate it?", "session_id": 1441, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "Well, yeah, it says use the table to estimate, so it's not asking us to actually do", "session_id": 1441, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "the calculation. We could go ahead and", "session_id": 1441, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "come up with", "session_id": 1441, "sequence_id": 80, "annotations": []}
{"role": "volunteer", "content": "So, um", "session_id": 1441, "sequence_id": 81, "annotations": []}
{"role": "volunteer", "content": "down below, they're asking us to write the function.", "session_id": 1441, "sequence_id": 82, "annotations": []}
{"role": "student", "content": "Mm", "session_id": 1441, "sequence_id": 83, "annotations": []}
{"role": "volunteer", "content": "like down on C, which is what we would get into if we were to do that. But I think that might be jumping the gun a little bit.", "session_id": 1441, "sequence_id": 84, "annotations": []}
{"role": "volunteer", "content": "Um", "session_id": 1441, "sequence_id": 85, "annotations": []}
{"role": "volunteer", "content": "which we will do", "session_id": 1441, "sequence_id": 86, "annotations": []}
{"role": "volunteer", "content": "If V is a function of X right the function and v is no. OK.", "session_id": 1441, "sequence_id": 87, "annotations": []}
{"role": "volunteer", "content": "So, um", "session_id": 1441, "sequence_id": 88, "annotations": []}
{"role": "volunteer", "content": "do you lose points if you, if you get things wrong here, do you", "session_id": 1441, "sequence_id": 89, "annotations": []}
{"role": "student", "content": "I have 5 chances.", "session_id": 1441, "sequence_id": 90, "annotations": []}
{"role": "volunteer", "content": "per each, each problem or just each each sub", "session_id": 1441, "sequence_id": 91, "annotations": []}
{"role": "student", "content": "for like this whole this whole problem.", "session_id": 1441, "sequence_id": 92, "annotations": []}
{"role": "volunteer", "content": "OK. Well, I think we should follow the directions and so it says just use the table.", "session_id": 1441, "sequence_id": 93, "annotations": []}
{"role": "volunteer", "content": "um use the table to estimate the maximum volume, we would say 1,024 based on nothing but just the table. So let's go ahead and give it a try.", "session_id": 1441, "sequence_id": 94, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 1441, "sequence_id": 95, "annotations": []}
{"role": "student", "content": "And I check it?", "session_id": 1441, "sequence_id": 96, "annotations": []}
{"role": "student", "content": "because it'll check it for like, uh,", "session_id": 1441, "sequence_id": 97, "annotations": []}
{"role": "student", "content": "all the", "session_id": 1441, "sequence_id": 98, "annotations": []}
{"role": "student", "content": "like the whole question", "session_id": 1441, "sequence_id": 99, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 1441, "sequence_id": 100, "annotations": []}
{"role": "volunteer", "content": "Oh, for the whole question, you have to go through everything. Oh, I see. OK, well, let's put that one as our answer for A.", "session_id": 1441, "sequence_id": 101, "annotations": []}
{"role": "student", "content": "OK", "session_id": 1441, "sequence_id": 102, "annotations": []}
{"role": "volunteer", "content": "OK, it says plot the points", "session_id": 1441, "sequence_id": 103, "annotations": []}
{"role": "volunteer", "content": "actually be in from the table and party. Does the relation defined by the order prepares represent a function of X.", "session_id": 1441, "sequence_id": 104, "annotations": []}
{"role": "volunteer", "content": "So", "session_id": 1441, "sequence_id": 105, "annotations": []}
{"role": "volunteer", "content": "we could", "session_id": 1441, "sequence_id": 106, "annotations": []}
{"role": "volunteer", "content": "we can make a plot of it, but it looks like", "session_id": 1441, "sequence_id": 107, "annotations": []}
{"role": "volunteer", "content": "every time X goes up,", "session_id": 1441, "sequence_id": 108, "annotations": []}
{"role": "volunteer", "content": "Y goes up to a certain point and then it starts going down again.", "session_id": 1441, "sequence_id": 109, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 1441, "sequence_id": 110, "annotations": []}
{"role": "volunteer", "content": "Mm.", "session_id": 1441, "sequence_id": 111, "annotations": []}
{"role": "volunteer", "content": "So", "session_id": 1441, "sequence_id": 112, "annotations": []}
{"role": "volunteer", "content": "when we have a function, we're, we're saying that", "session_id": 1441, "sequence_id": 113, "annotations": []}
{"role": "volunteer", "content": "um", "session_id": 1441, "sequence_id": 114, "annotations": []}
{"role": "student", "content": "Do the X doesn't repeat", "session_id": 1441, "sequence_id": 115, "annotations": []}
{"role": "volunteer", "content": "yeah, it sort of doesn't repeat, um, although one of them comes close.", "session_id": 1441, "sequence_id": 116, "annotations": []}
{"role": "volunteer", "content": "to 1, uh, 980.", "session_id": 1441, "sequence_id": 117, "annotations": []}
{"role": "volunteer", "content": "but", "session_id": 1441, "sequence_id": 118, "annotations": []}
{"role": "volunteer", "content": "let's, let's just do, let's just do, can I write on here a little bit? Well.", "session_id": 1441, "sequence_id": 119, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 1441, "sequence_id": 120, "annotations": []}
{"role": "student", "content": "Mhm", "session_id": 1441, "sequence_id": 121, "annotations": []}
{"role": "volunteer", "content": "you OK? So, maybe I'll go down below so I don't mess up the whole problem.", "session_id": 1441, "sequence_id": 122, "annotations": []}
{"role": "student", "content": "OK", "session_id": 1441, "sequence_id": 123, "annotations": []}
{"role": "volunteer", "content": "So if I was just doing a crude", "session_id": 1441, "sequence_id": 124, "annotations": []}
{"role": "volunteer", "content": "on the uh", "session_id": 1441, "sequence_id": 125, "annotations": []}
{"role": "volunteer", "content": "just do a crude plot them.", "session_id": 1441, "sequence_id": 126, "annotations": []}
{"role": "volunteer", "content": "I'm not gonna be very exact in this.", "session_id": 1441, "sequence_id": 127, "annotations": []}
{"role": "student", "content": "Mhm", "session_id": 1441, "sequence_id": 128, "annotations": []}
{"role": "volunteer", "content": "So,", "session_id": 1441, "sequence_id": 129, "annotations": []}
{"role": "volunteer", "content": "at", "session_id": 1441, "sequence_id": 130, "annotations": []}
{"role": "volunteer", "content": "I'd say that's one", "session_id": 1441, "sequence_id": 131, "annotations": []}
{"role": "volunteer", "content": "uh, it's 400", "session_id": 1441, "sequence_id": 132, "annotations": []}
{"role": "volunteer", "content": "84 It's like", "session_id": 1441, "sequence_id": 133, "annotations": []}
{"role": "volunteer", "content": "somewhere around here", "session_id": 1441, "sequence_id": 134, "annotations": []}
{"role": "volunteer", "content": "And then let's just go a couple over and that's 2.", "session_id": 1441, "sequence_id": 135, "annotations": []}
{"role": "volunteer", "content": "and it's 800", "session_id": 1441, "sequence_id": 136, "annotations": []}
{"role": "volunteer", "content": "so", "session_id": 1441, "sequence_id": 137, "annotations": []}
{"role": "volunteer", "content": "maybe that's something like right around here", "session_id": 1441, "sequence_id": 138, "annotations": []}
{"role": "volunteer", "content": "and we go to 3", "session_id": 1441, "sequence_id": 139, "annotations": []}
{"role": "volunteer", "content": "you know, we're 960", "session_id": 1441, "sequence_id": 140, "annotations": []}
{"role": "volunteer", "content": "Oh maybe that's", "session_id": 1441, "sequence_id": 141, "annotations": []}
{"role": "volunteer", "content": "kind of there", "session_id": 1441, "sequence_id": 142, "annotations": []}
{"role": "volunteer", "content": "And then we go to 4", "session_id": 1441, "sequence_id": 143, "annotations": []}
{"role": "volunteer", "content": "This is really just kind of", "session_id": 1441, "sequence_id": 144, "annotations": []}
{"role": "volunteer", "content": "you know, not being real exact, there's score.", "session_id": 1441, "sequence_id": 145, "annotations": []}
{"role": "volunteer", "content": "and 5", "session_id": 1441, "sequence_id": 146, "annotations": []}
{"role": "volunteer", "content": "were down back down 900.", "session_id": 1441, "sequence_id": 147, "annotations": []}
{"role": "volunteer", "content": "let's say somewhere.", "session_id": 1441, "sequence_id": 148, "annotations": []}
{"role": "volunteer", "content": "like there", "session_id": 1441, "sequence_id": 149, "annotations": []}
{"role": "volunteer", "content": "and then 6", "session_id": 1441, "sequence_id": 150, "annotations": []}
{"role": "volunteer", "content": "we're 700", "session_id": 1441, "sequence_id": 151, "annotations": []}
{"role": "volunteer", "content": "so maybe", "session_id": 1441, "sequence_id": 152, "annotations": []}
{"role": "volunteer", "content": "something like that", "session_id": 1441, "sequence_id": 153, "annotations": []}
{"role": "volunteer", "content": "So", "session_id": 1441, "sequence_id": 154, "annotations": []}
{"role": "volunteer", "content": "if we make it a continuous function, it will be something.", "session_id": 1441, "sequence_id": 155, "annotations": []}
{"role": "volunteer", "content": "like that", "session_id": 1441, "sequence_id": 156, "annotations": []}
{"role": "volunteer", "content": "Now", "session_id": 1441, "sequence_id": 157, "annotations": []}
{"role": "student", "content": "OK", "session_id": 1441, "sequence_id": 158, "annotations": []}
{"role": "volunteer", "content": "um, if we do something called the vertical line test.", "session_id": 1441, "sequence_id": 159, "annotations": []}
{"role": "volunteer", "content": "Have you ever heard of that", "session_id": 1441, "sequence_id": 160, "annotations": []}
{"role": "student", "content": "Mhm", "session_id": 1441, "sequence_id": 161, "annotations": []}
{"role": "volunteer", "content": "What if we, if we draw a line through the plot,", "session_id": 1441, "sequence_id": 162, "annotations": []}
{"role": "volunteer", "content": "we don't", "session_id": 1441, "sequence_id": 163, "annotations": []}
{"role": "volunteer", "content": "we don't get two values for an X. An X kind of", "session_id": 1441, "sequence_id": 164, "annotations": []}
{"role": "volunteer", "content": "goes to only one value. So that's a good", "session_id": 1441, "sequence_id": 165, "annotations": []}
{"role": "volunteer", "content": "sign that it is a function", "session_id": 1441, "sequence_id": 166, "annotations": []}
{"role": "student", "content": "Mhm", "session_id": 1441, "sequence_id": 167, "annotations": []}
{"role": "volunteer", "content": "So", "session_id": 1441, "sequence_id": 168, "annotations": []}
{"role": "volunteer", "content": "my", "session_id": 1441, "sequence_id": 169, "annotations": []}
{"role": "volunteer", "content": "feeling is, uh, does the relation defined by the ordered pairs represent a function of x, and I think we can say yes, because", "session_id": 1441, "sequence_id": 170, "annotations": []}
{"role": "volunteer", "content": "the vertical line test says, do, if I had like a volume 3 and I had 2 values for it.", "session_id": 1441, "sequence_id": 171, "annotations": []}
{"role": "volunteer", "content": "then I", "session_id": 1441, "sequence_id": 172, "annotations": []}
{"role": "volunteer", "content": "then I wouldn't, would fail that test", "session_id": 1441, "sequence_id": 173, "annotations": []}
{"role": "student", "content": "Mhm", "session_id": 1441, "sequence_id": 174, "annotations": []}
{"role": "volunteer", "content": "but I only have one value for every X. So I think we can say based on that that it is a function. What do you think?", "session_id": 1441, "sequence_id": 175, "annotations": []}
{"role": "student", "content": "Yeah. And uh since we plotted it, then and it's a parabola, then", "session_id": 1441, "sequence_id": 176, "annotations": []}
{"role": "student", "content": "it's", "session_id": 1441, "sequence_id": 177, "annotations": []}
{"role": "student", "content": "we know that it's our real number, so it's not see.", "session_id": 1441, "sequence_id": 178, "annotations": []}
{"role": "student", "content": "and does not be", "session_id": 1441, "sequence_id": 179, "annotations": []}
{"role": "volunteer", "content": "Um", "session_id": 1441, "sequence_id": 180, "annotations": []}
{"role": "student", "content": "for the, for the last one.", "session_id": 1441, "sequence_id": 181, "annotations": []}
{"role": "volunteer", "content": "oh", "session_id": 1441, "sequence_id": 182, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 1441, "sequence_id": 183, "annotations": []}
{"role": "volunteer", "content": "uh, well, let's wait until we get down to that one. But yeah.", "session_id": 1441, "sequence_id": 184, "annotations": []}
{"role": "student", "content": "Right", "session_id": 1441, "sequence_id": 185, "annotations": []}
{"role": "volunteer", "content": "I think it is gonna be a parabola, you're right.", "session_id": 1441, "sequence_id": 186, "annotations": []}
{"role": "volunteer", "content": "And when a parabola is the function.", "session_id": 1441, "sequence_id": 187, "annotations": []}
{"role": "volunteer", "content": "um,", "session_id": 1441, "sequence_id": 188, "annotations": []}
{"role": "volunteer", "content": "at least the one that we're showing here, and again, I'm kind of", "session_id": 1441, "sequence_id": 189, "annotations": []}
{"role": "volunteer", "content": "messed up when I drew it there, but it's something like that.", "session_id": 1441, "sequence_id": 190, "annotations": []}
{"role": "student", "content": "Mhm", "session_id": 1441, "sequence_id": 191, "annotations": []}
{"role": "volunteer", "content": "pointing down. So we know that it has a maximum", "session_id": 1441, "sequence_id": 192, "annotations": []}
{"role": "volunteer", "content": "You're right, it is a parabola.", "session_id": 1441, "sequence_id": 193, "annotations": []}
{"role": "volunteer", "content": "but we know it has a maximum and therefore, that's a good sign that", "session_id": 1441, "sequence_id": 194, "annotations": []}
{"role": "volunteer", "content": "um", "session_id": 1441, "sequence_id": 195, "annotations": []}
{"role": "volunteer", "content": "it's a function", "session_id": 1441, "sequence_id": 196, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 1441, "sequence_id": 197, "annotations": []}
{"role": "student", "content": "OK", "session_id": 1441, "sequence_id": 198, "annotations": []}
{"role": "volunteer", "content": "So then we go to Part C, right?", "session_id": 1441, "sequence_id": 199, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 1441, "sequence_id": 200, "annotations": []}
{"role": "volunteer", "content": "Now, we look at that, if we look at the little diagram on the right. I like that one, where it shows the box", "session_id": 1441, "sequence_id": 201, "annotations": []}
{"role": "volunteer", "content": "We know, do you, do you know how to find the volume of the box just in general?", "session_id": 1441, "sequence_id": 202, "annotations": []}
{"role": "student", "content": "Um, is it like the side times the side?", "session_id": 1441, "sequence_id": 203, "annotations": []}
{"role": "volunteer", "content": "Well, that's an area, so.", "session_id": 1441, "sequence_id": 204, "annotations": []}
{"role": "student", "content": "Not in that area, right? But", "session_id": 1441, "sequence_id": 205, "annotations": []}
{"role": "volunteer", "content": "but then if you multiply it again by a third side, you would have volume, right?", "session_id": 1441, "sequence_id": 206, "annotations": []}
{"role": "student", "content": "volume", "session_id": 1441, "sequence_id": 207, "annotations": []}
{"role": "volunteer", "content": "So, if I, if I am a", "session_id": 1441, "sequence_id": 208, "annotations": []}
{"role": "volunteer", "content": "let's just say, uh, a sugar cube, right? Something very small. Let's say it's", "session_id": 1441, "sequence_id": 209, "annotations": []}
{"role": "volunteer", "content": "uh 0.5 inch on the side for sugar cube. I don't know if that's right, but we would say that the volume of the sugar cube would be 0 times 5 times a half, right?", "session_id": 1441, "sequence_id": 210, "annotations": []}
{"role": "student", "content": "Oh, OK.", "session_id": 1441, "sequence_id": 211, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 1441, "sequence_id": 212, "annotations": []}
{"role": "volunteer", "content": "The length times the width times the height. So actually this may turn out to be a cubic function rather than a parabola.", "session_id": 1441, "sequence_id": 213, "annotations": []}
{"role": "volunteer", "content": "It may turn out to be", "session_id": 1441, "sequence_id": 214, "annotations": []}
{"role": "volunteer", "content": "it may be to the third power, OK?", "session_id": 1441, "sequence_id": 215, "annotations": []}
{"role": "student", "content": "OK", "session_id": 1441, "sequence_id": 216, "annotations": []}
{"role": "volunteer", "content": "Because we're gonna be multiplying the length times the width times the height, and we can see", "session_id": 1441, "sequence_id": 217, "annotations": []}
{"role": "volunteer", "content": "on that one side", "session_id": 1441, "sequence_id": 218, "annotations": []}
{"role": "volunteer", "content": "of the box that they labeled there", "session_id": 1441, "sequence_id": 219, "annotations": []}
{"role": "volunteer", "content": "We say that the area", "session_id": 1441, "sequence_id": 220, "annotations": []}
{"role": "volunteer", "content": "of the face would be X times 24 minus 2 x, right?", "session_id": 1441, "sequence_id": 221, "annotations": []}
{"role": "student", "content": "Mhm", "session_id": 1441, "sequence_id": 222, "annotations": []}
{"role": "volunteer", "content": "Because that would be the length times the width.", "session_id": 1441, "sequence_id": 223, "annotations": []}
{"role": "volunteer", "content": "and the hype happens to also", "session_id": 1441, "sequence_id": 224, "annotations": []}
{"role": "volunteer", "content": "um", "session_id": 1441, "sequence_id": 225, "annotations": []}
{"role": "volunteer", "content": "well, let's think about that", "session_id": 1441, "sequence_id": 226, "annotations": []}
{"role": "volunteer", "content": "So", "session_id": 1441, "sequence_id": 227, "annotations": []}
{"role": "volunteer", "content": "if we had the base, the area of the base would be just 24 minus 2 x times 24 minus 2 X, OK?", "session_id": 1441, "sequence_id": 228, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 1441, "sequence_id": 229, "annotations": []}
{"role": "volunteer", "content": "It's kind of a square", "session_id": 1441, "sequence_id": 230, "annotations": []}
{"role": "volunteer", "content": "but then we would need to multiply by X", "session_id": 1441, "sequence_id": 231, "annotations": []}
{"role": "volunteer", "content": "to get the, the volume.", "session_id": 1441, "sequence_id": 232, "annotations": []}
{"role": "volunteer", "content": "So again, let me go back up.", "session_id": 1441, "sequence_id": 233, "annotations": []}
{"role": "volunteer", "content": "just to make sure you, you get what I'm talking about.", "session_id": 1441, "sequence_id": 234, "annotations": []}
{"role": "student", "content": "Mm", "session_id": 1441, "sequence_id": 235, "annotations": []}
{"role": "volunteer", "content": "They, they have the 24 minus 2x on this side. It's also on this side, 24 minus 2 X, OK?", "session_id": 1441, "sequence_id": 236, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 1441, "sequence_id": 237, "annotations": []}
{"role": "volunteer", "content": "And then the height of the box is only X, right?", "session_id": 1441, "sequence_id": 238, "annotations": []}
{"role": "student", "content": "Mhm", "session_id": 1441, "sequence_id": 239, "annotations": []}
{"role": "volunteer", "content": "So", "session_id": 1441, "sequence_id": 240, "annotations": []}
{"role": "volunteer", "content": "we could write", "session_id": 1441, "sequence_id": 241, "annotations": []}
{"role": "volunteer", "content": "do you want to write down for meion right below my graph.", "session_id": 1441, "sequence_id": 242, "annotations": []}
{"role": "volunteer", "content": "See if you can rank the B, what the volume is.", "session_id": 1441, "sequence_id": 243, "annotations": []}
{"role": "student", "content": "Uh", "session_id": 1441, "sequence_id": 244, "annotations": []}
{"role": "student", "content": "Oh, OK, I'll do it. But.", "session_id": 1441, "sequence_id": 245, "annotations": []}
{"role": "volunteer", "content": "You know, way down there, yeah, right down there. That's good", "session_id": 1441, "sequence_id": 246, "annotations": []}
{"role": "volunteer", "content": "So say B B of X or B equals", "session_id": 1441, "sequence_id": 247, "annotations": []}
{"role": "volunteer", "content": "what are you gonna put in there?", "session_id": 1441, "sequence_id": 248, "annotations": []}
{"role": "volunteer", "content": "Yup, so what", "session_id": 1441, "sequence_id": 249, "annotations": []}
{"role": "student", "content": "What times the line comes right? Oh, but like, so 2 eggs, or was it 2 1st?", "session_id": 1441, "sequence_id": 250, "annotations": []}
{"role": "student", "content": "It was 24 minus 2 X.", "session_id": 1441, "sequence_id": 251, "annotations": []}
{"role": "student", "content": "Mm.", "session_id": 1441, "sequence_id": 252, "annotations": []}
{"role": "volunteer", "content": "OK, put that in parentheses first.", "session_id": 1441, "sequence_id": 253, "annotations": []}
{"role": "student", "content": "OK", "session_id": 1441, "sequence_id": 254, "annotations": []}
{"role": "volunteer", "content": "Good.", "session_id": 1441, "sequence_id": 255, "annotations": []}
{"role": "volunteer", "content": "And we're gonna, we're gonna multiply that again, aren't we? Because", "session_id": 1441, "sequence_id": 256, "annotations": []}
{"role": "volunteer", "content": "we want the kind of the area of the base.", "session_id": 1441, "sequence_id": 257, "annotations": []}
{"role": "volunteer", "content": "of the thing, so", "session_id": 1441, "sequence_id": 258, "annotations": []}
{"role": "volunteer", "content": "good", "session_id": 1441, "sequence_id": 259, "annotations": []}
{"role": "student", "content": "Right. So I foiled that?", "session_id": 1441, "sequence_id": 260, "annotations": []}
{"role": "volunteer", "content": "Well, not yet. Let's just leave it like this for a while for now.", "session_id": 1441, "sequence_id": 261, "annotations": []}
{"role": "student", "content": "OK", "session_id": 1441, "sequence_id": 262, "annotations": []}
{"role": "volunteer", "content": "parentheses, and what are we gonna put for our third", "session_id": 1441, "sequence_id": 263, "annotations": []}
{"role": "volunteer", "content": "Good.", "session_id": 1441, "sequence_id": 264, "annotations": []}
{"role": "student", "content": "X.", "session_id": 1441, "sequence_id": 265, "annotations": []}
{"role": "volunteer", "content": "So, without having to do anything simplifying or anything, we think that's the volume", "session_id": 1441, "sequence_id": 266, "annotations": []}
{"role": "volunteer", "content": "um", "session_id": 1441, "sequence_id": 267, "annotations": []}
{"role": "volunteer", "content": "they didn't say to simplify it.", "session_id": 1441, "sequence_id": 268, "annotations": []}
{"role": "volunteer", "content": "but one way we could do a little simplification would be to simply say it's X times 24 minus", "session_id": 1441, "sequence_id": 269, "annotations": []}
{"role": "volunteer", "content": "2 2X.", "session_id": 1441, "sequence_id": 270, "annotations": []}
{"role": "volunteer", "content": "right?", "session_id": 1441, "sequence_id": 271, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 1441, "sequence_id": 272, "annotations": []}
{"role": "volunteer", "content": "And if we wanted to, we could", "session_id": 1441, "sequence_id": 273, "annotations": []}
{"role": "volunteer", "content": "I, I like leaving it that way if they accept that as an answer.", "session_id": 1441, "sequence_id": 274, "annotations": []}
{"role": "volunteer", "content": "because I don't", "session_id": 1441, "sequence_id": 275, "annotations": []}
{"role": "volunteer", "content": "I don't know that we", "session_id": 1441, "sequence_id": 276, "annotations": []}
{"role": "volunteer", "content": "really need to go through all that when this is pretty", "session_id": 1441, "sequence_id": 277, "annotations": []}
{"role": "volunteer", "content": "straightforward", "session_id": 1441, "sequence_id": 278, "annotations": []}
{"role": "student", "content": "Mhm", "session_id": 1441, "sequence_id": 279, "annotations": []}
{"role": "volunteer", "content": "So depending on what answer they require", "session_id": 1441, "sequence_id": 280, "annotations": []}
{"role": "volunteer", "content": "we, we could foil it out and combine like terms and", "session_id": 1441, "sequence_id": 281, "annotations": []}
{"role": "volunteer", "content": "so forth, but", "session_id": 1441, "sequence_id": 282, "annotations": []}
{"role": "volunteer", "content": "um", "session_id": 1441, "sequence_id": 283, "annotations": []}
{"role": "volunteer", "content": "that, that is one answer that works for me. I don't know if it'll work for the answer, but", "session_id": 1441, "sequence_id": 284, "annotations": []}
{"role": "student", "content": "Mm", "session_id": 1441, "sequence_id": 285, "annotations": []}
{"role": "volunteer", "content": "sometimes computer-based", "session_id": 1441, "sequence_id": 286, "annotations": []}
{"role": "volunteer", "content": "answers are kind of hard to fathom, but that should be an acceptable answer.", "session_id": 1441, "sequence_id": 287, "annotations": []}
{"role": "student", "content": "OK", "session_id": 1441, "sequence_id": 288, "annotations": []}
{"role": "student", "content": "So", "session_id": 1441, "sequence_id": 289, "annotations": []}
{"role": "volunteer", "content": "So, go ahead", "session_id": 1441, "sequence_id": 290, "annotations": []}
{"role": "student", "content": "um, so then, since the", "session_id": 1441, "sequence_id": 291, "annotations": []}
{"role": "student", "content": "the function is squared, then it's not a cubic.", "session_id": 1441, "sequence_id": 292, "annotations": []}
{"role": "student", "content": "Oh wait.", "session_id": 1441, "sequence_id": 293, "annotations": []}
{"role": "volunteer", "content": "It is cubic because it is cubic because what if you were to, like you said, if you were to foil that out.", "session_id": 1441, "sequence_id": 294, "annotations": []}
{"role": "volunteer", "content": "you would get squared terms.", "session_id": 1441, "sequence_id": 295, "annotations": []}
{"role": "volunteer", "content": "and X terms", "session_id": 1441, "sequence_id": 296, "annotations": []}
{"role": "volunteer", "content": "but then you'd have to multiply that by X, wouldn't you?", "session_id": 1441, "sequence_id": 297, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 1441, "sequence_id": 298, "annotations": []}
{"role": "volunteer", "content": "So you would end up with some cubic", "session_id": 1441, "sequence_id": 299, "annotations": []}
{"role": "volunteer", "content": "Let's go, we'll go ahead and boil it out just to, I'll go ahead and do that for you here.", "session_id": 1441, "sequence_id": 300, "annotations": []}
{"role": "volunteer", "content": "So, here I go", "session_id": 1441, "sequence_id": 301, "annotations": []}
{"role": "volunteer", "content": "uh 24 times 24, what is that? Let's see.", "session_id": 1441, "sequence_id": 302, "annotations": []}
{"role": "student", "content": "Um", "session_id": 1441, "sequence_id": 303, "annotations": []}
{"role": "volunteer", "content": "576, I think.", "session_id": 1441, "sequence_id": 304, "annotations": []}
{"role": "student", "content": "it's, yeah, 576.", "session_id": 1441, "sequence_id": 305, "annotations": []}
{"role": "volunteer", "content": "576", "session_id": 1441, "sequence_id": 306, "annotations": []}
{"role": "volunteer", "content": "we would have", "session_id": 1441, "sequence_id": 307, "annotations": []}
{"role": "volunteer", "content": "minus", "session_id": 1441, "sequence_id": 308, "annotations": []}
{"role": "volunteer", "content": "48 X", "session_id": 1441, "sequence_id": 309, "annotations": []}
{"role": "volunteer", "content": "minus another 48 X if we were to foil that, right?", "session_id": 1441, "sequence_id": 310, "annotations": []}
{"role": "volunteer", "content": "We, if we were to go first,", "session_id": 1441, "sequence_id": 311, "annotations": []}
{"role": "volunteer", "content": "first,", "session_id": 1441, "sequence_id": 312, "annotations": []}
{"role": "volunteer", "content": "outer, inner", "session_id": 1441, "sequence_id": 313, "annotations": []}
{"role": "volunteer", "content": "we would get -48 x minus", "session_id": 1441, "sequence_id": 314, "annotations": []}
{"role": "volunteer", "content": "48 X, and then finally we would have a plus", "session_id": 1441, "sequence_id": 315, "annotations": []}
{"role": "volunteer", "content": "4 x 2", "session_id": 1441, "sequence_id": 316, "annotations": []}
{"role": "volunteer", "content": "right?", "session_id": 1441, "sequence_id": 317, "annotations": []}
{"role": "student", "content": "Yes.", "session_id": 1441, "sequence_id": 318, "annotations": []}
{"role": "volunteer", "content": "OK, so we keep simplifying", "session_id": 1441, "sequence_id": 319, "annotations": []}
{"role": "volunteer", "content": "uh let's combine, let's keep it this way.", "session_id": 1441, "sequence_id": 320, "annotations": []}
{"role": "volunteer", "content": "576", "session_id": 1441, "sequence_id": 321, "annotations": []}
{"role": "volunteer", "content": "minus 96 X.", "session_id": 1441, "sequence_id": 322, "annotations": []}
{"role": "volunteer", "content": "+ 4 4X^2.", "session_id": 1441, "sequence_id": 323, "annotations": []}
{"role": "volunteer", "content": "and now we can", "session_id": 1441, "sequence_id": 324, "annotations": []}
{"role": "volunteer", "content": "multiply through by X.", "session_id": 1441, "sequence_id": 325, "annotations": []}
{"role": "volunteer", "content": "and if we wanted to rewrite it nice,", "session_id": 1441, "sequence_id": 326, "annotations": []}
{"role": "volunteer", "content": "we would say", "session_id": 1441, "sequence_id": 327, "annotations": []}
{"role": "volunteer", "content": "OX cubed", "session_id": 1441, "sequence_id": 328, "annotations": []}
{"role": "volunteer", "content": "minus 96 x 2.", "session_id": 1441, "sequence_id": 329, "annotations": []}
{"role": "volunteer", "content": "+ 576 X.", "session_id": 1441, "sequence_id": 330, "annotations": []}
{"role": "volunteer", "content": "Um.", "session_id": 1441, "sequence_id": 331, "annotations": []}
{"role": "volunteer", "content": "So I, I guess", "session_id": 1441, "sequence_id": 332, "annotations": []}
{"role": "volunteer", "content": "you know, we can put that answer into, put that one in and if you like that one better.", "session_id": 1441, "sequence_id": 333, "annotations": []}
{"role": "student", "content": "OK", "session_id": 1441, "sequence_id": 334, "annotations": []}
{"role": "student", "content": "If those one marks it wrong, then I, I'll put that on.", "session_id": 1441, "sequence_id": 335, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 1441, "sequence_id": 336, "annotations": []}
{"role": "student", "content": "And so, so then it is cubic, then it's a squealy line on a graph.", "session_id": 1441, "sequence_id": 337, "annotations": []}
{"role": "volunteer", "content": "Yeah, I have", "session_id": 1441, "sequence_id": 338, "annotations": []}
{"role": "volunteer", "content": "um, but it does have a, it does have a quad uh", "session_id": 1441, "sequence_id": 339, "annotations": []}
{"role": "volunteer", "content": "quadratic term or an X squared term in there as well, so.", "session_id": 1441, "sequence_id": 340, "annotations": []}
{"role": "volunteer", "content": "um,", "session_id": 1441, "sequence_id": 341, "annotations": []}
{"role": "volunteer", "content": "anyhow, we can actually", "session_id": 1441, "sequence_id": 342, "annotations": []}
{"role": "volunteer", "content": "just for the heck of it, I'm gonna", "session_id": 1441, "sequence_id": 343, "annotations": []}
{"role": "volunteer", "content": "put in 4 in my calculator and let it calculate", "session_id": 1441, "sequence_id": 344, "annotations": []}
{"role": "volunteer", "content": "what that is. The 4", "session_id": 1441, "sequence_id": 345, "annotations": []}
{"role": "volunteer", "content": "X cubed", "session_id": 1441, "sequence_id": 346, "annotations": []}
{"role": "volunteer", "content": "minus 96", "session_id": 1441, "sequence_id": 347, "annotations": []}
{"role": "volunteer", "content": "96X^2", "session_id": 1441, "sequence_id": 348, "annotations": []}
{"role": "volunteer", "content": "+ 576", "session_id": 1441, "sequence_id": 349, "annotations": []}
{"role": "volunteer", "content": "Oh, darn it I have to start over, sorry.", "session_id": 1441, "sequence_id": 350, "annotations": []}
{"role": "volunteer", "content": "I blew my", "session_id": 1441, "sequence_id": 351, "annotations": []}
{"role": "volunteer", "content": "let me try that again", "session_id": 1441, "sequence_id": 352, "annotations": []}
{"role": "volunteer", "content": "you minus 96.", "session_id": 1441, "sequence_id": 353, "annotations": []}
{"role": "volunteer", "content": "X^2", "session_id": 1441, "sequence_id": 354, "annotations": []}
{"role": "volunteer", "content": "576X X.", "session_id": 1441, "sequence_id": 355, "annotations": []}
{"role": "volunteer", "content": "and I'm gonna try that for a value of 4 just for the heck of it, or", "session_id": 1441, "sequence_id": 356, "annotations": []}
{"role": "volunteer", "content": "stored in X.", "session_id": 1441, "sequence_id": 357, "annotations": []}
{"role": "volunteer", "content": "and", "session_id": 1441, "sequence_id": 358, "annotations": []}
{"role": "volunteer", "content": "So when you", "session_id": 1441, "sequence_id": 359, "annotations": []}
{"role": "volunteer", "content": "Hiller, when you uh put in 4 into that function, guess what? We get 1,024, which gives us a warm fuzzy feeling of", "session_id": 1441, "sequence_id": 360, "annotations": []}
{"role": "student", "content": "Yeah.", "session_id": 1441, "sequence_id": 361, "annotations": []}
{"role": "volunteer", "content": "that we're on the right track", "session_id": 1441, "sequence_id": 362, "annotations": []}
{"role": "student", "content": "Mhm.", "session_id": 1441, "sequence_id": 363, "annotations": []}
{"role": "volunteer", "content": "OK, so", "session_id": 1441, "sequence_id": 364, "annotations": []}
{"role": "volunteer", "content": "moving down to the", "session_id": 1441, "sequence_id": 365, "annotations": []}
{"role": "volunteer", "content": "deter determine the domain of the function.", "session_id": 1441, "sequence_id": 366, "annotations": []}
{"role": "volunteer", "content": "um", "session_id": 1441, "sequence_id": 367, "annotations": []}
{"role": "volunteer", "content": "what do you think", "session_id": 1441, "sequence_id": 368, "annotations": []}
{"role": "student", "content": "Mm. Well, since we got a maximum, and I, like, not from graphin, but we have a maximum, so I know it's a parabola, so it's, so it's not", "session_id": 1441, "sequence_id": 369, "annotations": []}
{"role": "student", "content": "see", "session_id": 1441, "sequence_id": 370, "annotations": []}
{"role": "student", "content": "mm", "session_id": 1441, "sequence_id": 371, "annotations": []}
{"role": "student", "content": "it's", "session_id": 1441, "sequence_id": 372, "annotations": []}
{"role": "volunteer", "content": "So remember, remember we're dealing in the physical world here. So,", "session_id": 1441, "sequence_id": 373, "annotations": []}
{"role": "student", "content": "oh right", "session_id": 1441, "sequence_id": 374, "annotations": []}
{"role": "student", "content": "right", "session_id": 1441, "sequence_id": 375, "annotations": []}
{"role": "volunteer", "content": "go back to, go back to the original one we did where we did 24 minus 2 X.", "session_id": 1441, "sequence_id": 376, "annotations": []}
{"role": "volunteer", "content": "times 24 minus 2 X.", "session_id": 1441, "sequence_id": 377, "annotations": []}
{"role": "volunteer", "content": "times X", "session_id": 1441, "sequence_id": 378, "annotations": []}
{"role": "student", "content": "Mhm", "session_id": 1441, "sequence_id": 379, "annotations": []}
{"role": "volunteer", "content": "Can X be 0", "session_id": 1441, "sequence_id": 380, "annotations": []}
{"role": "student", "content": "No", "session_id": 1441, "sequence_id": 381, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 1441, "sequence_id": 382, "annotations": []}
{"role": "volunteer", "content": "Because we have a volume of 0, wouldn't we? Because 0 times anything, so that we know that it can't be negative, and we know that it", "session_id": 1441, "sequence_id": 383, "annotations": []}
{"role": "volunteer", "content": "can't be zero. And then if you actually looked at one of our 24 minus 2 X's in our first, the first time we wrote down the function, if we had X", "session_id": 1441, "sequence_id": 384, "annotations": []}
{"role": "volunteer", "content": "greater than 12", "session_id": 1441, "sequence_id": 385, "annotations": []}
{"role": "volunteer", "content": "we would have 0 again.", "session_id": 1441, "sequence_id": 386, "annotations": []}
{"role": "volunteer", "content": "Do you see that", "session_id": 1441, "sequence_id": 387, "annotations": []}
{"role": "student", "content": "Yeah, yeah, cause", "session_id": 1441, "sequence_id": 388, "annotations": []}
{"role": "volunteer", "content": "Going back, going back to our original one where we wrote it as 24 minus 2 x times 24 minus 2x, if we had X, anything bigger than, or 12 or greater.", "session_id": 1441, "sequence_id": 389, "annotations": []}
{"role": "volunteer", "content": "it would be", "session_id": 1441, "sequence_id": 390, "annotations": []}
{"role": "student", "content": "Mhm.", "session_id": 1441, "sequence_id": 391, "annotations": []}
{"role": "volunteer", "content": "0 or negative even, which would make no sense.", "session_id": 1441, "sequence_id": 392, "annotations": []}
{"role": "volunteer", "content": "So", "session_id": 1441, "sequence_id": 393, "annotations": []}
{"role": "volunteer", "content": "what it kind of says is,", "session_id": 1441, "sequence_id": 394, "annotations": []}
{"role": "volunteer", "content": "um", "session_id": 1441, "sequence_id": 395, "annotations": []}
{"role": "volunteer", "content": "we're looking at that", "session_id": 1441, "sequence_id": 396, "annotations": []}
{"role": "volunteer", "content": "middle answer being pretty attractive, right?", "session_id": 1441, "sequence_id": 397, "annotations": []}
{"role": "volunteer", "content": "Because", "session_id": 1441, "sequence_id": 398, "annotations": []}
{"role": "student", "content": "Yeah. No one that I kept on trying to take out, but that makes sense cause it's not, can't be a negative and it can't be 12 or or greater 12.", "session_id": 1441, "sequence_id": 399, "annotations": []}
{"role": "volunteer", "content": "yeah, 1212 plugged into our original formula gives us a volume of 0 again.", "session_id": 1441, "sequence_id": 400, "annotations": []}
{"role": "student", "content": "Mm, OK", "session_id": 1441, "sequence_id": 401, "annotations": []}
{"role": "volunteer", "content": "because if you put it in, I like going back to that original", "session_id": 1441, "sequence_id": 402, "annotations": []}
{"role": "volunteer", "content": "um, the one that you wrote at the, you know, right below the graph.", "session_id": 1441, "sequence_id": 403, "annotations": []}
{"role": "student", "content": "Uh-huh", "session_id": 1441, "sequence_id": 404, "annotations": []}
{"role": "volunteer", "content": "That, that is more clear than the one where we expanded it out.", "session_id": 1441, "sequence_id": 405, "annotations": []}
{"role": "volunteer", "content": "because", "session_id": 1441, "sequence_id": 406, "annotations": []}
{"role": "volunteer", "content": "you can easily see", "session_id": 1441, "sequence_id": 407, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 1441, "sequence_id": 408, "annotations": []}
{"role": "volunteer", "content": "that if X is 0, the volume is 0, because 0 times anything is 0. And if you plugged in 12", "session_id": 1441, "sequence_id": 409, "annotations": []}
{"role": "volunteer", "content": "the volume would be 0 as well, because", "session_id": 1441, "sequence_id": 410, "annotations": []}
{"role": "volunteer", "content": "24 minus 2 times 12 is 0.", "session_id": 1441, "sequence_id": 411, "annotations": []}
{"role": "volunteer", "content": "right?", "session_id": 1441, "sequence_id": 412, "annotations": []}
{"role": "student", "content": "Right. Mhm.", "session_id": 1441, "sequence_id": 413, "annotations": []}
{"role": "volunteer", "content": "So you can't have 12 and you can't have anything greater than 12 or the volume starts", "session_id": 1441, "sequence_id": 414, "annotations": []}
{"role": "volunteer", "content": "you start getting negative numbers for the length and the width which you're just kind of crazy.", "session_id": 1441, "sequence_id": 415, "annotations": []}
{"role": "volunteer", "content": "not real", "session_id": 1441, "sequence_id": 416, "annotations": []}
{"role": "student", "content": "OK", "session_id": 1441, "sequence_id": 417, "annotations": []}
{"role": "student", "content": "Oh, so especially not that hard. It's just there's so much, there's so much to it. It makes it confusing.", "session_id": 1441, "sequence_id": 418, "annotations": []}
{"role": "volunteer", "content": "Well, I know, I'm, I understand and you know", "session_id": 1441, "sequence_id": 419, "annotations": []}
{"role": "volunteer", "content": "you.", "session_id": 1441, "sequence_id": 420, "annotations": []}
{"role": "volunteer", "content": "this is how you learn, but", "session_id": 1441, "sequence_id": 421, "annotations": []}
{"role": "volunteer", "content": "sometimes, um, yeah, it takes a while for things to sink in. Do you have, does it sort of make sense to you?", "session_id": 1441, "sequence_id": 422, "annotations": []}
{"role": "student", "content": "Mhm.", "session_id": 1441, "sequence_id": 423, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 1441, "sequence_id": 424, "annotations": []}
{"role": "student", "content": "Yes, this makes sense now.", "session_id": 1441, "sequence_id": 425, "annotations": []}
{"role": "volunteer", "content": "OK. So, um", "session_id": 1441, "sequence_id": 426, "annotations": []}
{"role": "volunteer", "content": "yeah, I mean", "session_id": 1441, "sequence_id": 427, "annotations": []}
{"role": "volunteer", "content": "it's easy for me because I've, I've done it before, but, you know,", "session_id": 1441, "sequence_id": 428, "annotations": []}
{"role": "volunteer", "content": "students have to learn the hard way.", "session_id": 1441, "sequence_id": 429, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 1441, "sequence_id": 430, "annotations": []}
{"role": "volunteer", "content": "Mhm.", "session_id": 1441, "sequence_id": 431, "annotations": []}
{"role": "student", "content": "Yeah, I mean, once you, once you teach it so many times, you, you just.", "session_id": 1441, "sequence_id": 432, "annotations": []}
{"role": "volunteer", "content": "Right, cause, you know, it sometimes you may be in awe of a teacher who doesn't, but remember they've been doing it for years and they've been working the same problems for a year or so.", "session_id": 1441, "sequence_id": 433, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 1441, "sequence_id": 434, "annotations": []}
{"role": "volunteer", "content": "anyhow.", "session_id": 1441, "sequence_id": 435, "annotations": []}
{"role": "volunteer", "content": "Um", "session_id": 1441, "sequence_id": 436, "annotations": []}
{"role": "student", "content": "um", "session_id": 1441, "sequence_id": 437, "annotations": []}
{"role": "student", "content": "the, the squared one was right.", "session_id": 1441, "sequence_id": 438, "annotations": []}
{"role": "student", "content": "Not the forward one", "session_id": 1441, "sequence_id": 439, "annotations": []}
{"role": "volunteer", "content": "not the what", "session_id": 1441, "sequence_id": 440, "annotations": []}
{"role": "student", "content": "Not the foiled one, like the 5 cents.", "session_id": 1441, "sequence_id": 441, "annotations": []}
{"role": "volunteer", "content": "Yeah, I like this, I like the squared one better.", "session_id": 1441, "sequence_id": 442, "annotations": []}
{"role": "student", "content": "Mhm.", "session_id": 1441, "sequence_id": 443, "annotations": []}
{"role": "volunteer", "content": "or even the first one where you wrote it right out because it very clear what what's going on there.", "session_id": 1441, "sequence_id": 444, "annotations": []}
{"role": "student", "content": "Yeah. Um", "session_id": 1441, "sequence_id": 445, "annotations": []}
{"role": "student", "content": "and so", "session_id": 1441, "sequence_id": 446, "annotations": []}
{"role": "student", "content": "this next one is just", "session_id": 1441, "sequence_id": 447, "annotations": []}
{"role": "student", "content": "a word problem.", "session_id": 1441, "sequence_id": 448, "annotations": []}
{"role": "volunteer", "content": "OK.", "session_id": 1441, "sequence_id": 449, "annotations": []}
{"role": "student", "content": "which are the worst kinds.", "session_id": 1441, "sequence_id": 450, "annotations": []}
{"role": "volunteer", "content": "I right", "session_id": 1441, "sequence_id": 451, "annotations": []}
{"role": "student", "content": "I don't know how to take, oh, OK.", "session_id": 1441, "sequence_id": 452, "annotations": []}
{"role": "student", "content": "That it's, oh wait, I think I'll put it too or another.", "session_id": 1441, "sequence_id": 453, "annotations": []}
{"role": "volunteer", "content": "I'm considered. That's good", "session_id": 1441, "sequence_id": 454, "annotations": []}
{"role": "student", "content": "OK", "session_id": 1441, "sequence_id": 455, "annotations": []}
{"role": "volunteer", "content": "I'm gonna read it out loud", "session_id": 1441, "sequence_id": 456, "annotations": []}
{"role": "student", "content": "Great", "session_id": 1441, "sequence_id": 457, "annotations": []}
{"role": "volunteer", "content": "A company produces a product for which the variable cost is $12.80 1 cents per unit, and the fixed costs are $92,000. The product sells for $17.66.", "session_id": 1441, "sequence_id": 458, "annotations": []}
{"role": "volunteer", "content": "So let X be the number of units produced and sold.", "session_id": 1441, "sequence_id": 459, "annotations": []}
{"role": "volunteer", "content": "The total cost for a business", "session_id": 1441, "sequence_id": 460, "annotations": []}
{"role": "volunteer", "content": "is the sum of the variable in the fixed cost.", "session_id": 1441, "sequence_id": 461, "annotations": []}
{"role": "volunteer", "content": "like the total cost", "session_id": 1441, "sequence_id": 462, "annotations": []}
{"role": "volunteer", "content": "C as a function of the number of units produced.", "session_id": 1441, "sequence_id": 463, "annotations": []}
{"role": "volunteer", "content": "So", "session_id": 1441, "sequence_id": 464, "annotations": []}
{"role": "volunteer", "content": "just imagine you're, you have a factory", "session_id": 1441, "sequence_id": 465, "annotations": []}
{"role": "volunteer", "content": "and", "session_id": 1441, "sequence_id": 466, "annotations": []}
{"role": "volunteer", "content": "you wanna figure out how much it costs for any number of units that you produce.", "session_id": 1441, "sequence_id": 467, "annotations": []}
{"role": "volunteer", "content": "So we're gonna write a function C", "session_id": 1441, "sequence_id": 468, "annotations": []}
{"role": "volunteer", "content": "of X or C", "session_id": 1441, "sequence_id": 469, "annotations": []}
{"role": "volunteer", "content": "equals something", "session_id": 1441, "sequence_id": 470, "annotations": []}
{"role": "volunteer", "content": "And what do you think would be", "session_id": 1441, "sequence_id": 471, "annotations": []}
{"role": "volunteer", "content": "a good way to represent that. If you let X be the number of units produced.", "session_id": 1441, "sequence_id": 472, "annotations": []}
{"role": "student", "content": "She is the total cost and number of units produced?", "session_id": 1441, "sequence_id": 473, "annotations": []}
{"role": "volunteer", "content": "So go ahead, let me um", "session_id": 1441, "sequence_id": 474, "annotations": []}
{"role": "volunteer", "content": "let me see where I'm at", "session_id": 1441, "sequence_id": 475, "annotations": []}
{"role": "student", "content": "12.81 X.", "session_id": 1441, "sequence_id": 476, "annotations": []}
{"role": "volunteer", "content": "Why don't you write it right below", "session_id": 1441, "sequence_id": 477, "annotations": []}
{"role": "volunteer", "content": "the problem there and we'll", "session_id": 1441, "sequence_id": 478, "annotations": []}
{"role": "volunteer", "content": "so", "session_id": 1441, "sequence_id": 479, "annotations": []}
{"role": "student", "content": "+ 92,000.", "session_id": 1441, "sequence_id": 480, "annotations": []}
{"role": "volunteer", "content": "good", "session_id": 1441, "sequence_id": 481, "annotations": []}
{"role": "student", "content": "OK", "session_id": 1441, "sequence_id": 482, "annotations": []}
{"role": "volunteer", "content": "good.", "session_id": 1441, "sequence_id": 483, "annotations": []}
{"role": "volunteer", "content": "OK, great. So that's what your C function is. If I produce one unit", "session_id": 1441, "sequence_id": 484, "annotations": []}
{"role": "volunteer", "content": "it's gonna cost me $12.81 plus $92,000.", "session_id": 1441, "sequence_id": 485, "annotations": []}
{"role": "volunteer", "content": "If I produce two", "session_id": 1441, "sequence_id": 486, "annotations": []}
{"role": "volunteer", "content": "units, it'll be", "session_id": 1441, "sequence_id": 487, "annotations": []}
{"role": "volunteer", "content": "you know, 2 times", "session_id": 1441, "sequence_id": 488, "annotations": []}
{"role": "volunteer", "content": "1281. If I produce 100 units, it's going to be $1,281 plus $92,000 and so forth. So you got see that's", "session_id": 1441, "sequence_id": 489, "annotations": []}
{"role": "volunteer", "content": "um", "session_id": 1441, "sequence_id": 490, "annotations": []}
{"role": "volunteer", "content": "C is", "session_id": 1441, "sequence_id": 491, "annotations": []}
{"role": "volunteer", "content": "uh the, what you've got there is the answer for box one there.", "session_id": 1441, "sequence_id": 492, "annotations": []}
{"role": "student", "content": "Oh, OK", "session_id": 1441, "sequence_id": 493, "annotations": []}
{"role": "volunteer", "content": "That's very good", "session_id": 1441, "sequence_id": 494, "annotations": []}
{"role": "student", "content": "Wow", "session_id": 1441, "sequence_id": 495, "annotations": []}
{"role": "student", "content": "OK", "session_id": 1441, "sequence_id": 496, "annotations": []}
{"role": "student", "content": "And then", "session_id": 1441, "sequence_id": 497, "annotations": []}
{"role": "volunteer", "content": "Now, what about, what about for the revenue, how would you find out how much money you got coming in?", "session_id": 1441, "sequence_id": 498, "annotations": []}
{"role": "volunteer", "content": "If you sell that stuff", "session_id": 1441, "sequence_id": 499, "annotations": []}
{"role": "volunteer", "content": "how, what would be the function that would tell us how much money you would get for for the X number of units.", "session_id": 1441, "sequence_id": 500, "annotations": []}
{"role": "student", "content": "17.66X.666.", "session_id": 1441, "sequence_id": 501, "annotations": []}
{"role": "student", "content": "Oh", "session_id": 1441, "sequence_id": 502, "annotations": []}
{"role": "volunteer", "content": "You got it. That's all there is to it. So that's your revenue, that's gonna be your revenue.", "session_id": 1441, "sequence_id": 503, "annotations": []}
{"role": "volunteer", "content": "So that'll be R equals 1766.", "session_id": 1441, "sequence_id": 504, "annotations": []}
{"role": "volunteer", "content": "X.", "session_id": 1441, "sequence_id": 505, "annotations": []}
{"role": "student", "content": "Wow", "session_id": 1441, "sequence_id": 506, "annotations": []}
{"role": "student", "content": "I think I just overcomplicate this.", "session_id": 1441, "sequence_id": 507, "annotations": []}
{"role": "volunteer", "content": "No, you're, you're doing great", "session_id": 1441, "sequence_id": 508, "annotations": []}
{"role": "student", "content": "OK", "session_id": 1441, "sequence_id": 509, "annotations": []}
{"role": "volunteer", "content": "All right", "session_id": 1441, "sequence_id": 510, "annotations": []}
{"role": "student", "content": "Hm", "session_id": 1441, "sequence_id": 511, "annotations": []}
{"role": "volunteer", "content": "Now we're ready to finish it off because the profit is simply", "session_id": 1441, "sequence_id": 512, "annotations": []}
{"role": "volunteer", "content": "the, the", "session_id": 1441, "sequence_id": 513, "annotations": []}
{"role": "volunteer", "content": "um", "session_id": 1441, "sequence_id": 514, "annotations": []}
{"role": "volunteer", "content": "second one subtracted from, I'm sorry, the first one subtracted from the second one. So what you're gonna put in there", "session_id": 1441, "sequence_id": 515, "annotations": []}
{"role": "volunteer", "content": "we can simplify it probably.", "session_id": 1441, "sequence_id": 516, "annotations": []}
{"role": "volunteer", "content": "um", "session_id": 1441, "sequence_id": 517, "annotations": []}
{"role": "volunteer", "content": "so", "session_id": 1441, "sequence_id": 518, "annotations": []}
{"role": "volunteer", "content": "we're gonna have", "session_id": 1441, "sequence_id": 519, "annotations": []}
{"role": "volunteer", "content": "the", "session_id": 1441, "sequence_id": 520, "annotations": []}
{"role": "volunteer", "content": "equals", "session_id": 1441, "sequence_id": 521, "annotations": []}
{"role": "volunteer", "content": "17", "session_id": 1441, "sequence_id": 522, "annotations": []}
{"role": "volunteer", "content": "66", "session_id": 1441, "sequence_id": 523, "annotations": []}
{"role": "volunteer", "content": "X", "session_id": 1441, "sequence_id": 524, "annotations": []}
{"role": "volunteer", "content": "minus", "session_id": 1441, "sequence_id": 525, "annotations": []}
{"role": "volunteer", "content": "the cost of the set which produce FX.", "session_id": 1441, "sequence_id": 526, "annotations": []}
{"role": "volunteer", "content": "So.", "session_id": 1441, "sequence_id": 527, "annotations": []}
{"role": "volunteer", "content": "now we can subtract", "session_id": 1441, "sequence_id": 528, "annotations": []}
{"role": "volunteer", "content": "since we got common X's there, right?", "session_id": 1441, "sequence_id": 529, "annotations": []}
{"role": "student", "content": "Mhm", "session_id": 1441, "sequence_id": 530, "annotations": []}
{"role": "volunteer", "content": "Uh let me see, 17.", "session_id": 1441, "sequence_id": 531, "annotations": []}
{"role": "volunteer", "content": "66 minus", "session_id": 1441, "sequence_id": 532, "annotations": []}
{"role": "volunteer", "content": "12", "session_id": 1441, "sequence_id": 533, "annotations": []}
{"role": "volunteer", "content": "81", "session_id": 1441, "sequence_id": 534, "annotations": []}
{"role": "volunteer", "content": "and we get", "session_id": 1441, "sequence_id": 535, "annotations": []}
{"role": "volunteer", "content": "$4 and", "session_id": 1441, "sequence_id": 536, "annotations": []}
{"role": "volunteer", "content": "85, I think it is.", "session_id": 1441, "sequence_id": 537, "annotations": []}
{"role": "student", "content": "Yes. Yeah, that's what my company says.", "session_id": 1441, "sequence_id": 538, "annotations": []}
{"role": "volunteer", "content": "OK, good", "session_id": 1441, "sequence_id": 539, "annotations": []}
{"role": "volunteer", "content": "And we're gonna subtract 92,000.", "session_id": 1441, "sequence_id": 540, "annotations": []}
{"role": "volunteer", "content": "because that we have to kind of distribute that negative sign, right?", "session_id": 1441, "sequence_id": 541, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 1441, "sequence_id": 542, "annotations": []}
{"role": "volunteer", "content": "So that's, that's what our profit function will, will be.", "session_id": 1441, "sequence_id": 543, "annotations": []}
{"role": "volunteer", "content": "So it's gonna take you, it's gonna take us quite a few units before we break even, even, right?", "session_id": 1441, "sequence_id": 544, "annotations": []}
{"role": "student", "content": "Mhm", "session_id": 1441, "sequence_id": 545, "annotations": []}
{"role": "volunteer", "content": "We lose money until there's a certain point where it'll be 0 and then it'll start making money after we cover all our fixed costs.", "session_id": 1441, "sequence_id": 546, "annotations": []}
{"role": "volunteer", "content": "where they are.", "session_id": 1441, "sequence_id": 547, "annotations": []}
{"role": "student", "content": "All right", "session_id": 1441, "sequence_id": 548, "annotations": []}
{"role": "student", "content": "9", "session_id": 1441, "sequence_id": 549, "annotations": []}
{"role": "volunteer", "content": "But they don't ask us to solve it in this one anyhow, maybe in the next.", "session_id": 1441, "sequence_id": 550, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 1441, "sequence_id": 551, "annotations": []}
{"role": "student", "content": "Awesome", "session_id": 1441, "sequence_id": 552, "annotations": []}
{"role": "student", "content": "I think now that we did that one, I think this one's easier.", "session_id": 1441, "sequence_id": 553, "annotations": []}
{"role": "student", "content": "Wait, let me clear this.", "session_id": 1441, "sequence_id": 554, "annotations": []}
{"role": "volunteer", "content": "Take your time", "session_id": 1441, "sequence_id": 555, "annotations": []}
{"role": "student", "content": "OK", "session_id": 1441, "sequence_id": 556, "annotations": []}
{"role": "volunteer", "content": "OK, the inventor of a new game believes that the variable cost for producing the game is 75 cents per unit.", "session_id": 1441, "sequence_id": 557, "annotations": []}
{"role": "volunteer", "content": "and the fixed costs are $6500.", "session_id": 1441, "sequence_id": 558, "annotations": []}
{"role": "volunteer", "content": "The inventor sells each game for $1.99.", "session_id": 1441, "sequence_id": 559, "annotations": []}
{"role": "volunteer", "content": "Let X be the number of games sold, the total cost for a business is the sum of the variable cost and the fixed cost.", "session_id": 1441, "sequence_id": 560, "annotations": []}
{"role": "volunteer", "content": "right, the total cost function as the number of games. Why don't you write it in below.", "session_id": 1441, "sequence_id": 561, "annotations": []}
{"role": "volunteer", "content": "based on your experience with the first one.", "session_id": 1441, "sequence_id": 562, "annotations": []}
{"role": "student", "content": "OK", "session_id": 1441, "sequence_id": 563, "annotations": []}
{"role": "volunteer", "content": "Awesome, you got it", "session_id": 1441, "sequence_id": 564, "annotations": []}
{"role": "volunteer", "content": "That's great", "session_id": 1441, "sequence_id": 565, "annotations": []}
{"role": "volunteer", "content": "So", "session_id": 1441, "sequence_id": 566, "annotations": []}
{"role": "volunteer", "content": "um", "session_id": 1441, "sequence_id": 567, "annotations": []}
{"role": "volunteer", "content": "we got the", "session_id": 1441, "sequence_id": 568, "annotations": []}
{"role": "volunteer", "content": "variable cost and the fixed costs, so that's the total cost.", "session_id": 1441, "sequence_id": 569, "annotations": []}
{"role": "volunteer", "content": "So that answers the first one, A.", "session_id": 1441, "sequence_id": 570, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 1441, "sequence_id": 571, "annotations": []}
{"role": "volunteer", "content": "Now it says write the average cost per unit, see bar.", "session_id": 1441, "sequence_id": 572, "annotations": []}
{"role": "volunteer", "content": "as C over X", "session_id": 1441, "sequence_id": 573, "annotations": []}
{"role": "volunteer", "content": "So I wanted to see if you can", "session_id": 1441, "sequence_id": 574, "annotations": []}
{"role": "volunteer", "content": "just write what C bar equals.", "session_id": 1441, "sequence_id": 575, "annotations": []}
{"role": "volunteer", "content": "right below what you did", "session_id": 1441, "sequence_id": 576, "annotations": []}
{"role": "student", "content": "So is it", "session_id": 1441, "sequence_id": 577, "annotations": []}
{"role": "student", "content": "that one", "session_id": 1441, "sequence_id": 578, "annotations": []}
{"role": "student", "content": "over", "session_id": 1441, "sequence_id": 579, "annotations": []}
{"role": "student", "content": "1.99? Or is it is sex?", "session_id": 1441, "sequence_id": 580, "annotations": []}
{"role": "volunteer", "content": "We just, just, just X, right?", "session_id": 1441, "sequence_id": 581, "annotations": []}
{"role": "student", "content": "Mm", "session_id": 1441, "sequence_id": 582, "annotations": []}
{"role": "volunteer", "content": "So, all they're saying is if we wanted to figure out the how much the average cost is, we would just.", "session_id": 1441, "sequence_id": 583, "annotations": []}
{"role": "volunteer", "content": "take the number of units and", "session_id": 1441, "sequence_id": 584, "annotations": []}
{"role": "volunteer", "content": "whatever it is, X is, let's say it is 200, we would plug a 100 in and that this will give us the average cost that it takes to produce those 100 units.", "session_id": 1441, "sequence_id": 585, "annotations": []}
{"role": "volunteer", "content": "which is", "session_id": 1441, "sequence_id": 586, "annotations": []}
{"role": "student", "content": "So that's it.", "session_id": 1441, "sequence_id": 587, "annotations": []}
{"role": "volunteer", "content": "you can, you can also divide that X.", "session_id": 1441, "sequence_id": 588, "annotations": []}
{"role": "volunteer", "content": "You can leave it this way or you can say it's", "session_id": 1441, "sequence_id": 589, "annotations": []}
{"role": "volunteer", "content": "uh, I'm just writing it below.", "session_id": 1441, "sequence_id": 590, "annotations": []}
{"role": "volunteer", "content": "Or you can simplify it as", "session_id": 1441, "sequence_id": 591, "annotations": []}
{"role": "volunteer", "content": "you can do that as well", "session_id": 1441, "sequence_id": 592, "annotations": []}
{"role": "volunteer", "content": "Either way", "session_id": 1441, "sequence_id": 593, "annotations": []}
{"role": "student", "content": "Mm", "session_id": 1441, "sequence_id": 594, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 1441, "sequence_id": 595, "annotations": []}
{"role": "volunteer", "content": "Um, really what that's saying is that", "session_id": 1441, "sequence_id": 596, "annotations": []}
{"role": "volunteer", "content": "the cost, the average cost to produce it is 75 cents for each one, but then we've got to take our overhead", "session_id": 1441, "sequence_id": 597, "annotations": []}
{"role": "volunteer", "content": "like that could be renting a building to do it or whatever.", "session_id": 1441, "sequence_id": 598, "annotations": []}
{"role": "volunteer", "content": "we would", "session_id": 1441, "sequence_id": 599, "annotations": []}
{"role": "volunteer", "content": "that, that's some kind of fixed cost. We would just", "session_id": 1441, "sequence_id": 600, "annotations": []}
{"role": "volunteer", "content": "take that fixed cost of", "session_id": 1441, "sequence_id": 601, "annotations": []}
{"role": "volunteer", "content": "6500, not 65,000. Whoops.", "session_id": 1441, "sequence_id": 602, "annotations": []}
{"role": "volunteer", "content": "Um.", "session_id": 1441, "sequence_id": 603, "annotations": []}
{"role": "volunteer", "content": "we would just take the cost of the building rent, let's just say, and divide it by the number of units we produced that month.", "session_id": 1441, "sequence_id": 604, "annotations": []}
{"role": "volunteer", "content": "or something like that. But", "session_id": 1441, "sequence_id": 605, "annotations": []}
{"role": "volunteer", "content": "so either one will give us the same answer.", "session_id": 1441, "sequence_id": 606, "annotations": []}
{"role": "student", "content": "Mm, how do, or why you cancel out the eggs on the top.", "session_id": 1441, "sequence_id": 607, "annotations": []}
{"role": "volunteer", "content": "OK, because when I divide, so when I am a fraction like this with a 2 numerators and one denominator, I'm allowed to break it", "session_id": 1441, "sequence_id": 608, "annotations": []}
{"role": "volunteer", "content": "I'm allowed to break it into 22 parts.", "session_id": 1441, "sequence_id": 609, "annotations": []}
{"role": "volunteer", "content": "So I'm allowed to", "session_id": 1441, "sequence_id": 610, "annotations": []}
{"role": "volunteer", "content": "take the first part", "session_id": 1441, "sequence_id": 611, "annotations": []}
{"role": "volunteer", "content": "and then I'm allowed to take the second part.", "session_id": 1441, "sequence_id": 612, "annotations": []}
{"role": "volunteer", "content": "Now notice that when I have 0.75 x divided by X, it cancels the X out, OK?", "session_id": 1441, "sequence_id": 613, "annotations": []}
{"role": "student", "content": "Hm, oh, OK. Yeah, I understand.", "session_id": 1441, "sequence_id": 614, "annotations": []}
{"role": "volunteer", "content": "So, sometimes students get confused, but if you have one denominator", "session_id": 1441, "sequence_id": 615, "annotations": []}
{"role": "volunteer", "content": "and many numerators, you're allowed to break it up into individual fractions, OK?", "session_id": 1441, "sequence_id": 616, "annotations": []}
{"role": "student", "content": "Mhm", "session_id": 1441, "sequence_id": 617, "annotations": []}
{"role": "volunteer", "content": "But if you only have one numerator and lots of denominators, you're not allowed to do that.", "session_id": 1441, "sequence_id": 618, "annotations": []}
{"role": "student", "content": "OK", "session_id": 1441, "sequence_id": 619, "annotations": []}
{"role": "volunteer", "content": "So that's sort of just kind of", "session_id": 1441, "sequence_id": 620, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 1441, "sequence_id": 621, "annotations": []}
{"role": "volunteer", "content": "something they don't really tell you too much about in school, but you learn the hard way. When you have a fraction", "session_id": 1441, "sequence_id": 622, "annotations": []}
{"role": "volunteer", "content": "if, as long as you, you're allowed to break it up.", "session_id": 1441, "sequence_id": 623, "annotations": []}
{"role": "volunteer", "content": "based on the denominator.", "session_id": 1441, "sequence_id": 624, "annotations": []}
{"role": "volunteer", "content": "but if it was flipped, you couldn't take X over 0.75.", "session_id": 1441, "sequence_id": 625, "annotations": []}
{"role": "volunteer", "content": "So, anyhow, I'm just", "session_id": 1441, "sequence_id": 626, "annotations": []}
{"role": "volunteer", "content": "hopefully that answers your question.", "session_id": 1441, "sequence_id": 627, "annotations": []}
{"role": "student", "content": "Mhm", "session_id": 1441, "sequence_id": 628, "annotations": []}
{"role": "student", "content": "Yeah, that was pretty, that was in California.", "session_id": 1441, "sequence_id": 629, "annotations": [{"pii_type": "LOCATION", "surrogate": "California", "start": 35, "end": 45}]}
{"role": "volunteer", "content": "Good. Yeah, you did great.", "session_id": 1441, "sequence_id": 630, "annotations": []}
{"role": "student", "content": "OK", "session_id": 1441, "sequence_id": 631, "annotations": []}
{"role": "student", "content": "This one", "session_id": 1441, "sequence_id": 632, "annotations": []}
{"role": "student", "content": "is", "session_id": 1441, "sequence_id": 633, "annotations": []}
{"role": "student", "content": "I don't get it just because when I see it, it's, it's giving um", "session_id": 1441, "sequence_id": 634, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 1441, "sequence_id": 635, "annotations": []}
{"role": "student", "content": "something from geometry, the, the treadmill thing.", "session_id": 1441, "sequence_id": 636, "annotations": []}
{"role": "volunteer", "content": "Great.", "session_id": 1441, "sequence_id": 637, "annotations": []}
{"role": "student", "content": "But I know that that's not what you're supposed to do.", "session_id": 1441, "sequence_id": 638, "annotations": []}
{"role": "volunteer", "content": "OK, let's read it. I, I like reading a lot to kind of give my brain a chance to get around it.", "session_id": 1441, "sequence_id": 639, "annotations": []}
{"role": "student", "content": "Mhm", "session_id": 1441, "sequence_id": 640, "annotations": []}
{"role": "volunteer", "content": "So balloon carrying a transmitter ascends", "session_id": 1441, "sequence_id": 641, "annotations": []}
{"role": "volunteer", "content": "vertically from a 0.3000 ft above.", "session_id": 1441, "sequence_id": 642, "annotations": []}
{"role": "volunteer", "content": "the receiving station", "session_id": 1441, "sequence_id": 643, "annotations": []}
{"role": "volunteer", "content": "OK.", "session_id": 1441, "sequence_id": 644, "annotations": []}
{"role": "volunteer", "content": "Draw a diagram that gives a visual representation of the problem. Let H represent the height of the balloon and let D represent the distance between the balloon and the receiving station. So they drew that", "session_id": 1441, "sequence_id": 645, "annotations": []}
{"role": "volunteer", "content": "they drew that for you pretty much, um.", "session_id": 1441, "sequence_id": 646, "annotations": []}
{"role": "volunteer", "content": "uh", "session_id": 1441, "sequence_id": 647, "annotations": []}
{"role": "volunteer", "content": "so I'm not understanding why they're asking you, oh,", "session_id": 1441, "sequence_id": 648, "annotations": []}
{"role": "volunteer", "content": "let's see.", "session_id": 1441, "sequence_id": 649, "annotations": []}
{"role": "student", "content": "Yeah, cause the, it's missing a value.", "session_id": 1441, "sequence_id": 650, "annotations": []}
{"role": "volunteer", "content": "Oh, that's a, OK, so you're gonna stick the value in, and you got A done, right?", "session_id": 1441, "sequence_id": 651, "annotations": []}
{"role": "volunteer", "content": "So,", "session_id": 1441, "sequence_id": 652, "annotations": []}
{"role": "volunteer", "content": "we're gonna put 3000 there and you'll be done with part A.", "session_id": 1441, "sequence_id": 653, "annotations": []}
{"role": "student", "content": "Oh", "session_id": 1441, "sequence_id": 654, "annotations": []}
{"role": "volunteer", "content": "I think that's all that they're, oh, wait a minute, I'm sorry, that may not be true.", "session_id": 1441, "sequence_id": 655, "annotations": []}
{"role": "volunteer", "content": "3000", "session_id": 1441, "sequence_id": 656, "annotations": []}
{"role": "volunteer", "content": "feet", "session_id": 1441, "sequence_id": 657, "annotations": []}
{"role": "volunteer", "content": "is the height", "session_id": 1441, "sequence_id": 658, "annotations": []}
{"role": "volunteer", "content": "of dry day let H represent and let D represent the distance between the balloon and the receiving station.", "session_id": 1441, "sequence_id": 659, "annotations": []}
{"role": "volunteer", "content": "OK, I get that", "session_id": 1441, "sequence_id": 660, "annotations": []}
{"role": "volunteer", "content": "So they already drew it for you. So what are they asking us here?", "session_id": 1441, "sequence_id": 661, "annotations": []}
{"role": "volunteer", "content": "So do you have to answer something on this?", "session_id": 1441, "sequence_id": 662, "annotations": []}
{"role": "volunteer", "content": "Oh.", "session_id": 1441, "sequence_id": 663, "annotations": []}
{"role": "student", "content": "Yeah, this one.", "session_id": 1441, "sequence_id": 664, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 1441, "sequence_id": 665, "annotations": []}
{"role": "volunteer", "content": "Oh, I guess they're asking for that part. OK, so,", "session_id": 1441, "sequence_id": 666, "annotations": []}
{"role": "volunteer", "content": "all right, so", "session_id": 1441, "sequence_id": 667, "annotations": []}
{"role": "volunteer", "content": "let's see here. Um", "session_id": 1441, "sequence_id": 668, "annotations": []}
{"role": "volunteer", "content": "we know", "session_id": 1441, "sequence_id": 669, "annotations": []}
{"role": "volunteer", "content": "that", "session_id": 1441, "sequence_id": 670, "annotations": []}
{"role": "volunteer", "content": "the bottom", "session_id": 1441, "sequence_id": 671, "annotations": []}
{"role": "volunteer", "content": "part of the triangle, the base of the triangle 3000, right?", "session_id": 1441, "sequence_id": 672, "annotations": []}
{"role": "volunteer", "content": "Because the", "session_id": 1441, "sequence_id": 673, "annotations": []}
{"role": "student", "content": "The", "session_id": 1441, "sequence_id": 674, "annotations": []}
{"role": "volunteer", "content": "we know that is it the height that's 3000 or?", "session_id": 1441, "sequence_id": 675, "annotations": []}
{"role": "student", "content": "It just says that it ascends vertically.", "session_id": 1441, "sequence_id": 676, "annotations": []}
{"role": "volunteer", "content": "OK. So I'm gonna write on", "session_id": 1441, "sequence_id": 677, "annotations": []}
{"role": "volunteer", "content": "I'm if I", "session_id": 1441, "sequence_id": 678, "annotations": []}
{"role": "volunteer", "content": "so", "session_id": 1441, "sequence_id": 679, "annotations": []}
{"role": "volunteer", "content": "that base 3000, right?", "session_id": 1441, "sequence_id": 680, "annotations": []}
{"role": "volunteer", "content": "Because", "session_id": 1441, "sequence_id": 681, "annotations": []}
{"role": "volunteer", "content": "they're saying that", "session_id": 1441, "sequence_id": 682, "annotations": []}
{"role": "volunteer", "content": "from 0. 3000 from the station. So", "session_id": 1441, "sequence_id": 683, "annotations": []}
{"role": "volunteer", "content": "DNH we don't know what they are.", "session_id": 1441, "sequence_id": 684, "annotations": []}
{"role": "volunteer", "content": "but we do know that the base of the triangle 3000.", "session_id": 1441, "sequence_id": 685, "annotations": []}
{"role": "volunteer", "content": "So I think what you're all you're doing is you're putting 3000 in for", "session_id": 1441, "sequence_id": 686, "annotations": []}
{"role": "volunteer", "content": "that little box", "session_id": 1441, "sequence_id": 687, "annotations": []}
{"role": "student", "content": "OK", "session_id": 1441, "sequence_id": 688, "annotations": []}
{"role": "volunteer", "content": "Do you see what I mean", "session_id": 1441, "sequence_id": 689, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 1441, "sequence_id": 690, "annotations": []}
{"role": "student", "content": "Yeah, cause we've just been putting", "session_id": 1441, "sequence_id": 691, "annotations": []}
{"role": "volunteer", "content": "You're just inpointing how long that is.", "session_id": 1441, "sequence_id": 692, "annotations": []}
{"role": "student", "content": "right", "session_id": 1441, "sequence_id": 693, "annotations": []}
{"role": "volunteer", "content": "OK. Hopefully, that's right. Uh.", "session_id": 1441, "sequence_id": 694, "annotations": []}
{"role": "volunteer", "content": "Now, let's see what they're saying here. Right at the height of the balloon as a function of D", "session_id": 1441, "sequence_id": 695, "annotations": []}
{"role": "volunteer", "content": "OK.", "session_id": 1441, "sequence_id": 696, "annotations": []}
{"role": "volunteer", "content": "So do you remember Pythagoras's theorem?", "session_id": 1441, "sequence_id": 697, "annotations": []}
{"role": "student", "content": "A", "session_id": 1441, "sequence_id": 698, "annotations": []}
{"role": "student", "content": "B", "session_id": 1441, "sequence_id": 699, "annotations": []}
{"role": "volunteer", "content": "Did, did you take any geometry?", "session_id": 1441, "sequence_id": 700, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 1441, "sequence_id": 701, "annotations": []}
{"role": "student", "content": "Yes. Is it like", "session_id": 1441, "sequence_id": 702, "annotations": []}
{"role": "student", "content": "3 + B squared + C.", "session_id": 1441, "sequence_id": 703, "annotations": []}
{"role": "volunteer", "content": "So it's close, uh, C squared equals A squared + B squared.", "session_id": 1441, "sequence_id": 704, "annotations": []}
{"role": "student", "content": "Oh OK", "session_id": 1441, "sequence_id": 705, "annotations": []}
{"role": "volunteer", "content": "So we're saying that, that if you have a right triangle,", "session_id": 1441, "sequence_id": 706, "annotations": []}
{"role": "volunteer", "content": "then your hypotenuse squared equals the sum of the side squared. So you probably saw it as a A squared equals B squared + C squared.", "session_id": 1441, "sequence_id": 707, "annotations": []}
{"role": "volunteer", "content": "So in this example", "session_id": 1441, "sequence_id": 708, "annotations": []}
{"role": "volunteer", "content": "Tala,", "session_id": 1441, "sequence_id": 709, "annotations": []}
{"role": "student", "content": "Mhm", "session_id": 1441, "sequence_id": 710, "annotations": []}
{"role": "volunteer", "content": "I'm gonna write down below", "session_id": 1441, "sequence_id": 711, "annotations": []}
{"role": "volunteer", "content": "below all the problem. I'm just gonna write", "session_id": 1441, "sequence_id": 712, "annotations": []}
{"role": "volunteer", "content": "what we would have for Pythagorean's theorem, if we had this", "session_id": 1441, "sequence_id": 713, "annotations": []}
{"role": "volunteer", "content": "so we would say the hypotenuse square, which is D,", "session_id": 1441, "sequence_id": 714, "annotations": []}
{"role": "volunteer", "content": "equals the sum of the side squared.", "session_id": 1441, "sequence_id": 715, "annotations": []}
{"role": "volunteer", "content": "Well, we know one side 3000.", "session_id": 1441, "sequence_id": 716, "annotations": []}
{"role": "volunteer", "content": "and we know the other side is H.", "session_id": 1441, "sequence_id": 717, "annotations": []}
{"role": "volunteer", "content": "So, whoop", "session_id": 1441, "sequence_id": 718, "annotations": []}
{"role": "volunteer", "content": "the other side is 8. So what we're doing, all we're doing is writing Pythagorean's theorem for the problem because it's a right triangle", "session_id": 1441, "sequence_id": 719, "annotations": []}
{"role": "volunteer", "content": "and if you just remember the theorem is the hypotenuse square equals the sum of the side squared.", "session_id": 1441, "sequence_id": 720, "annotations": []}
{"role": "volunteer", "content": "That's Pythagoras' theorem", "session_id": 1441, "sequence_id": 721, "annotations": []}
{"role": "student", "content": "Mm", "session_id": 1441, "sequence_id": 722, "annotations": []}
{"role": "volunteer", "content": "So", "session_id": 1441, "sequence_id": 723, "annotations": []}
{"role": "volunteer", "content": "can you solve for H for me, and that problem.", "session_id": 1441, "sequence_id": 724, "annotations": []}
{"role": "student", "content": "8 square?", "session_id": 1441, "sequence_id": 725, "annotations": []}
{"role": "volunteer", "content": "Yeah, so, so I wrote an equation down there, Pythagoras's theorem based on our problem. Can you solve for H? What would you do?", "session_id": 1441, "sequence_id": 726, "annotations": []}
{"role": "volunteer", "content": "If you don't know it's OK", "session_id": 1441, "sequence_id": 727, "annotations": []}
{"role": "student", "content": "I don't know", "session_id": 1441, "sequence_id": 728, "annotations": []}
{"role": "volunteer", "content": "OK, so all I would do is I would", "session_id": 1441, "sequence_id": 729, "annotations": []}
{"role": "volunteer", "content": "let me write it as", "session_id": 1441, "sequence_id": 730, "annotations": []}
{"role": "volunteer", "content": "82", "session_id": 1441, "sequence_id": 731, "annotations": []}
{"role": "volunteer", "content": "+ 3000 square.", "session_id": 1441, "sequence_id": 732, "annotations": []}
{"role": "volunteer", "content": "equals D squared", "session_id": 1441, "sequence_id": 733, "annotations": []}
{"role": "volunteer", "content": "right?", "session_id": 1441, "sequence_id": 734, "annotations": []}
{"role": "student", "content": "Mhm", "session_id": 1441, "sequence_id": 735, "annotations": []}
{"role": "volunteer", "content": "So I'm actually just gonna subtract 3000 squared from both sides.", "session_id": 1441, "sequence_id": 736, "annotations": []}
{"role": "volunteer", "content": "minus", "session_id": 1441, "sequence_id": 737, "annotations": []}
{"role": "volunteer", "content": "3000 square.", "session_id": 1441, "sequence_id": 738, "annotations": []}
{"role": "volunteer", "content": "So I end up with 8 squad.", "session_id": 1441, "sequence_id": 739, "annotations": []}
{"role": "volunteer", "content": "equals H squared.", "session_id": 1441, "sequence_id": 740, "annotations": []}
{"role": "volunteer", "content": "minus 3000 square.", "session_id": 1441, "sequence_id": 741, "annotations": []}
{"role": "volunteer", "content": "That's", "session_id": 1441, "sequence_id": 742, "annotations": []}
{"role": "volunteer", "content": "make sure you understand everything that we've done so far.", "session_id": 1441, "sequence_id": 743, "annotations": []}
{"role": "volunteer", "content": "So getting back to the problem, do you, do you see a", "session_id": 1441, "sequence_id": 744, "annotations": []}
{"role": "volunteer", "content": "do you remember that Pythagoras theorem is, you know, basically what I'm saying is the hypotenuse of the right triangle is the sum of this", "session_id": 1441, "sequence_id": 745, "annotations": []}
{"role": "volunteer", "content": "hypotenus squared equals the sum of the side squared, OK?", "session_id": 1441, "sequence_id": 746, "annotations": []}
{"role": "student", "content": "Mhm", "session_id": 1441, "sequence_id": 747, "annotations": []}
{"role": "volunteer", "content": "So then all I did was I plugged in the names of the variables that we have and what we know.", "session_id": 1441, "sequence_id": 748, "annotations": []}
{"role": "volunteer", "content": "That's where this first equation came from D squared equals 3000 2 + H squared.", "session_id": 1441, "sequence_id": 749, "annotations": []}
{"role": "volunteer", "content": "right?", "session_id": 1441, "sequence_id": 750, "annotations": []}
{"role": "student", "content": "Yes.", "session_id": 1441, "sequence_id": 751, "annotations": []}
{"role": "volunteer", "content": "I just turned it around and wrote it the other way in the second step.", "session_id": 1441, "sequence_id": 752, "annotations": []}
{"role": "volunteer", "content": "And then I decided to try to solve for H.", "session_id": 1441, "sequence_id": 753, "annotations": []}
{"role": "volunteer", "content": "because they're asking about age, so I subtracted 3000 square from both sides.", "session_id": 1441, "sequence_id": 754, "annotations": []}
{"role": "volunteer", "content": "I get 82 equals D squared minus 3,0002, OK?", "session_id": 1441, "sequence_id": 755, "annotations": []}
{"role": "volunteer", "content": "How would I get H if I have H squared.", "session_id": 1441, "sequence_id": 756, "annotations": []}
{"role": "student", "content": "Uh, square root", "session_id": 1441, "sequence_id": 757, "annotations": []}
{"role": "volunteer", "content": "You got it. So if I take the square root of both sides.", "session_id": 1441, "sequence_id": 758, "annotations": []}
{"role": "volunteer", "content": "Oops.", "session_id": 1441, "sequence_id": 759, "annotations": []}
{"role": "volunteer", "content": "So I get", "session_id": 1441, "sequence_id": 760, "annotations": []}
{"role": "volunteer", "content": "D squared minus 3000.", "session_id": 1441, "sequence_id": 761, "annotations": []}
{"role": "volunteer", "content": "square", "session_id": 1441, "sequence_id": 762, "annotations": []}
{"role": "volunteer", "content": "So, we have done it, whether that's, I don't know how you enter that in your", "session_id": 1441, "sequence_id": 763, "annotations": []}
{"role": "volunteer", "content": "if they give you a square root and squares and", "session_id": 1441, "sequence_id": 764, "annotations": []}
{"role": "volunteer", "content": "um", "session_id": 1441, "sequence_id": 765, "annotations": []}
{"role": "student", "content": "Yeah, there's um", "session_id": 1441, "sequence_id": 766, "annotations": []}
{"role": "student", "content": "an option to do that", "session_id": 1441, "sequence_id": 767, "annotations": []}
{"role": "volunteer", "content": "OK, so hopefully", "session_id": 1441, "sequence_id": 768, "annotations": []}
{"role": "volunteer", "content": "let's just do some geometry when you took that.", "session_id": 1441, "sequence_id": 769, "annotations": []}
{"role": "volunteer", "content": "Um,", "session_id": 1441, "sequence_id": 770, "annotations": []}
{"role": "volunteer", "content": "hopefully, that", "session_id": 1441, "sequence_id": 771, "annotations": []}
{"role": "student", "content": "Great", "session_id": 1441, "sequence_id": 772, "annotations": []}
{"role": "volunteer", "content": "makes all sense, makes sense to you.", "session_id": 1441, "sequence_id": 773, "annotations": []}
{"role": "student", "content": "square roots, Student.", "session_id": 1441, "sequence_id": 774, "annotations": [{"pii_type": "PERSON", "surrogate": "Student", "start": 14, "end": 21}]}
{"role": "volunteer", "content": "OK, what do we know about square roots, Student.", "session_id": 1441, "sequence_id": 775, "annotations": [{"pii_type": "PERSON", "surrogate": "Student", "start": 40, "end": 47}]}
{"role": "volunteer", "content": "what", "session_id": 1441, "sequence_id": 776, "annotations": []}
{"role": "student", "content": "Um, to change it.", "session_id": 1441, "sequence_id": 777, "annotations": []}
{"role": "student", "content": "to change it from uh, to take away the square root. I can just multiply by 2.", "session_id": 1441, "sequence_id": 778, "annotations": []}
{"role": "volunteer", "content": "Yeah, we can, uh, we can square, but, but", "session_id": 1441, "sequence_id": 779, "annotations": []}
{"role": "volunteer", "content": "when we were discussing domains before Leo at the beginning. Remember, we can never have a square root of a negative number, right?", "session_id": 1441, "sequence_id": 780, "annotations": [{"pii_type": "PERSON", "surrogate": "Leo", "start": 39, "end": 42}]}
{"role": "student", "content": "Oh yes", "session_id": 1441, "sequence_id": 781, "annotations": []}
{"role": "volunteer", "content": "So think about this. If B is anything", "session_id": 1441, "sequence_id": 782, "annotations": []}
{"role": "volunteer", "content": "if D is anything", "session_id": 1441, "sequence_id": 783, "annotations": []}
{"role": "volunteer", "content": "um", "session_id": 1441, "sequence_id": 784, "annotations": []}
{"role": "volunteer", "content": "greater than", "session_id": 1441, "sequence_id": 785, "annotations": []}
{"role": "volunteer", "content": "3000 or greater.", "session_id": 1441, "sequence_id": 786, "annotations": []}
{"role": "volunteer", "content": "we got a problem", "session_id": 1441, "sequence_id": 787, "annotations": []}
{"role": "volunteer", "content": "We cannot", "session_id": 1441, "sequence_id": 788, "annotations": []}
{"role": "volunteer", "content": "be", "session_id": 1441, "sequence_id": 789, "annotations": []}
{"role": "volunteer", "content": "3000 or greater.", "session_id": 1441, "sequence_id": 790, "annotations": []}
{"role": "volunteer", "content": "because if it is", "session_id": 1441, "sequence_id": 791, "annotations": []}
{"role": "volunteer", "content": "I'm sorry, less than 3000.", "session_id": 1441, "sequence_id": 792, "annotations": []}
{"role": "volunteer", "content": "I got that backwards", "session_id": 1441, "sequence_id": 793, "annotations": []}
{"role": "student", "content": "cannot be less than", "session_id": 1441, "sequence_id": 794, "annotations": []}
{"role": "volunteer", "content": "Less than or equal 3000.", "session_id": 1441, "sequence_id": 795, "annotations": []}
{"role": "volunteer", "content": "But it can be greater than or equal to 3000, right?", "session_id": 1441, "sequence_id": 796, "annotations": []}
{"role": "student", "content": "Right", "session_id": 1441, "sequence_id": 797, "annotations": []}
{"role": "volunteer", "content": "Because if it's less than or equal to 3000, and we start getting into", "session_id": 1441, "sequence_id": 798, "annotations": []}
{"role": "volunteer", "content": "um,", "session_id": 1441, "sequence_id": 799, "annotations": []}
{"role": "volunteer", "content": "heights of zero and negative heights or the square root of negative heights, and that's not going to work.", "session_id": 1441, "sequence_id": 800, "annotations": []}
{"role": "volunteer", "content": "So", "session_id": 1441, "sequence_id": 801, "annotations": []}
{"role": "volunteer", "content": "that's why", "session_id": 1441, "sequence_id": 802, "annotations": []}
{"role": "volunteer", "content": "um", "session_id": 1441, "sequence_id": 803, "annotations": []}
{"role": "volunteer", "content": "D", "session_id": 1441, "sequence_id": 804, "annotations": []}
{"role": "volunteer", "content": "D is our variable that will", "session_id": 1441, "sequence_id": 805, "annotations": []}
{"role": "volunteer", "content": "we're using as our independent variable, that's what they call it. The one that's very and it's, it's gotta be greater than our equal 3000 squared, OK?", "session_id": 1441, "sequence_id": 806, "annotations": []}
{"role": "student", "content": "Square", "session_id": 1441, "sequence_id": 807, "annotations": []}
{"role": "volunteer", "content": "Square.", "session_id": 1441, "sequence_id": 808, "annotations": []}
{"role": "volunteer", "content": "So", "session_id": 1441, "sequence_id": 809, "annotations": []}
{"role": "student", "content": "Oh, right, square, yes.", "session_id": 1441, "sequence_id": 810, "annotations": []}
{"role": "volunteer", "content": "because, because we're subtracting 3000 square. We could convert that to some big giant number.", "session_id": 1441, "sequence_id": 811, "annotations": []}
{"role": "volunteer", "content": "but there's no need to, we, we're not asked to do that here. So that's why", "session_id": 1441, "sequence_id": 812, "annotations": []}
{"role": "volunteer", "content": "um,", "session_id": 1441, "sequence_id": 813, "annotations": []}
{"role": "volunteer", "content": "it has to be greater than or equal 3000 squared.", "session_id": 1441, "sequence_id": 814, "annotations": []}
{"role": "volunteer", "content": "I'm sorry", "session_id": 1441, "sequence_id": 815, "annotations": []}
{"role": "volunteer", "content": "I gotta be careful what I'm saying.", "session_id": 1441, "sequence_id": 816, "annotations": []}
{"role": "volunteer", "content": "Um.", "session_id": 1441, "sequence_id": 817, "annotations": []}
{"role": "volunteer", "content": "actually, D must be greater than or equal to 3000.", "session_id": 1441, "sequence_id": 818, "annotations": []}
{"role": "volunteer", "content": "3000 squared. That was tricky.", "session_id": 1441, "sequence_id": 819, "annotations": []}
{"role": "volunteer", "content": "So the D itself has to 3000 or greater, OK?", "session_id": 1441, "sequence_id": 820, "annotations": []}
{"role": "volunteer", "content": "Not the square", "session_id": 1441, "sequence_id": 821, "annotations": []}
{"role": "volunteer", "content": "Well", "session_id": 1441, "sequence_id": 822, "annotations": []}
{"role": "student", "content": "Wait, why not square and", "session_id": 1441, "sequence_id": 823, "annotations": []}
{"role": "volunteer", "content": "uh, it doesn't really talk about these squared, it only talks about D", "session_id": 1441, "sequence_id": 824, "annotations": []}
{"role": "volunteer", "content": "So", "session_id": 1441, "sequence_id": 825, "annotations": []}
{"role": "volunteer", "content": "if I try to 3000 in for D, I get 0, OK?", "session_id": 1441, "sequence_id": 826, "annotations": []}
{"role": "student", "content": "Mhm", "session_id": 1441, "sequence_id": 827, "annotations": []}
{"role": "volunteer", "content": "If I try to plug anything greater than the", "session_id": 1441, "sequence_id": 828, "annotations": []}
{"role": "volunteer", "content": "less less <COURSE>, I get the square root of a negative number., I get the square root of a negative number.", "session_id": 1441, "sequence_id": 829, "annotations": []}
{"role": "volunteer", "content": "So d, not d squad.", "session_id": 1441, "sequence_id": 830, "annotations": []}
{"role": "volunteer", "content": "D must D must <COURSE> or greater. or greater.", "session_id": 1441, "sequence_id": 831, "annotations": []}
{"role": "volunteer", "content": "But let it sink in a little bit.", "session_id": 1441, "sequence_id": 832, "annotations": []}
{"role": "volunteer", "content": "Just look at our formula right here.", "session_id": 1441, "sequence_id": 833, "annotations": []}
{"role": "volunteer", "content": "about for H", "session_id": 1441, "sequence_id": 834, "annotations": []}
{"role": "volunteer", "content": "Don't think of D^2, think of Don't think of <US_DRIVER_LICENSE>, think of <NRP>", "session_id": 1441, "sequence_id": 835, "annotations": []}
{"role": "student", "content": "OK", "session_id": 1441, "sequence_id": 836, "annotations": []}
{"role": "volunteer", "content": "DD has to be, if D 3000, that would 3000 square minus 3000 squared, wouldn't it?", "session_id": 1441, "sequence_id": 837, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 1441, "sequence_id": 838, "annotations": []}
{"role": "student", "content": "OK", "session_id": 1441, "sequence_id": 839, "annotations": []}
{"role": "volunteer", "content": "Which would be 0, and that would mean that the height", "session_id": 1441, "sequence_id": 840, "annotations": []}
{"role": "student", "content": "OK", "session_id": 1441, "sequence_id": 841, "annotations": []}
{"role": "volunteer", "content": "of the balloon is zero. That's not what", "session_id": 1441, "sequence_id": 842, "annotations": []}
{"role": "volunteer", "content": "And in fact, anything less than", "session_id": 1441, "sequence_id": 843, "annotations": []}
{"role": "volunteer", "content": "3000 gives us nonsensical like the square root of negative numbers for our height. We can't do that.", "session_id": 1441, "sequence_id": 844, "annotations": []}
{"role": "volunteer", "content": "So this 1 may take you some time just to be thinking about. I'm not, I, I hope", "session_id": 1441, "sequence_id": 845, "annotations": []}
{"role": "volunteer", "content": "you're getting it, but", "session_id": 1441, "sequence_id": 846, "annotations": []}
{"role": "volunteer", "content": "sometimes it answers a little tricky.", "session_id": 1441, "sequence_id": 847, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 1441, "sequence_id": 848, "annotations": []}
{"role": "volunteer", "content": "As long as you follow", "session_id": 1441, "sequence_id": 849, "annotations": []}
{"role": "volunteer", "content": "how we came up with our formula for H.", "session_id": 1441, "sequence_id": 850, "annotations": []}
{"role": "volunteer", "content": "It's just strictly Pythagorean's theorem.", "session_id": 1441, "sequence_id": 851, "annotations": []}
{"role": "student", "content": "OK", "session_id": 1441, "sequence_id": 852, "annotations": []}
{"role": "student", "content": "And then there", "session_id": 1441, "sequence_id": 853, "annotations": []}
{"role": "student", "content": "OK", "session_id": 1441, "sequence_id": 854, "annotations": []}
{"role": "volunteer", "content": "I detect the nebula that you're a little confused by it, but", "session_id": 1441, "sequence_id": 855, "annotations": []}
{"role": "volunteer", "content": "ask any questions if you don't feel bad to ask", "session_id": 1441, "sequence_id": 856, "annotations": []}
{"role": "student", "content": "Mhm", "session_id": 1441, "sequence_id": 857, "annotations": []}
{"role": "volunteer", "content": "questions. There's", "session_id": 1441, "sequence_id": 858, "annotations": []}
{"role": "student", "content": "So", "session_id": 1441, "sequence_id": 859, "annotations": []}
{"role": "student", "content": "um", "session_id": 1441, "sequence_id": 860, "annotations": []}
{"role": "student", "content": "it was, it can't be greater 3000.", "session_id": 1441, "sequence_id": 861, "annotations": []}
{"role": "volunteer", "content": "it can be greater 3000.", "session_id": 1441, "sequence_id": 862, "annotations": []}
{"role": "student", "content": "00, OK, I can, I can.", "session_id": 1441, "sequence_id": 863, "annotations": []}
{"role": "volunteer", "content": "D D can be greater than or equal to 30 not equal 3000. It's got to be greater is 3000.", "session_id": 1441, "sequence_id": 864, "annotations": []}
{"role": "volunteer", "content": "because that's what, if you 3000 in, you would get 0, wouldn't you?", "session_id": 1441, "sequence_id": 865, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 1441, "sequence_id": 866, "annotations": []}
{"role": "volunteer", "content": "Because 3000 squared would be what the first term would be under the square root sign. It would be 3000 square minus 3000 square, which is 0.", "session_id": 1441, "sequence_id": 867, "annotations": []}
{"role": "volunteer", "content": "Well, that, that's not", "session_id": 1441, "sequence_id": 868, "annotations": []}
{"role": "volunteer", "content": "legit. And if anything less 3000, it would be.", "session_id": 1441, "sequence_id": 869, "annotations": []}
{"role": "volunteer", "content": "also not good", "session_id": 1441, "sequence_id": 870, "annotations": []}
{"role": "volunteer", "content": "It would be at the squire of a negative number. We can't have a height that's a square root of a negative number.", "session_id": 1441, "sequence_id": 871, "annotations": []}
{"role": "student", "content": "Oh, yeah, that's true", "session_id": 1441, "sequence_id": 872, "annotations": []}
{"role": "student", "content": "Mhm.", "session_id": 1441, "sequence_id": 873, "annotations": []}
{"role": "volunteer", "content": "So that's why the last answer is the one that makes sense for the domain.", "session_id": 1441, "sequence_id": 874, "annotations": []}
{"role": "volunteer", "content": "The domain means the set of all possible valid values for input, OK?", "session_id": 1441, "sequence_id": 875, "annotations": []}
{"role": "student", "content": "Mhm.", "session_id": 1441, "sequence_id": 876, "annotations": []}
{"role": "volunteer", "content": "What are my input valid values.", "session_id": 1441, "sequence_id": 877, "annotations": []}
{"role": "volunteer", "content": "0, 3000", "session_id": 1441, "sequence_id": 878, "annotations": []}
{"role": "volunteer", "content": "or greater basically is allowed. 3000 would give us a height of zero. OK, it could be sitting on the ground.", "session_id": 1441, "sequence_id": 879, "annotations": []}
{"role": "volunteer", "content": "Um, I guess that's possible, but anything greater than 3000 is fine.", "session_id": 1441, "sequence_id": 880, "annotations": []}
{"role": "volunteer", "content": "for D", "session_id": 1441, "sequence_id": 881, "annotations": []}
{"role": "volunteer", "content": "But if it's", "session_id": 1441, "sequence_id": 882, "annotations": []}
{"role": "volunteer", "content": "less than 3000, then", "session_id": 1441, "sequence_id": 883, "annotations": []}
{"role": "volunteer", "content": "it's not valid. So that's why the last one", "session_id": 1441, "sequence_id": 884, "annotations": []}
{"role": "volunteer", "content": "is the one that makes sense", "session_id": 1441, "sequence_id": 885, "annotations": []}
{"role": "student", "content": "Yeah, yeah, I get it cause anything less time would be like 0 or negative.", "session_id": 1441, "sequence_id": 886, "annotations": []}
{"role": "volunteer", "content": "Negative, right", "session_id": 1441, "sequence_id": 887, "annotations": []}
{"role": "volunteer", "content": "Good", "session_id": 1441, "sequence_id": 888, "annotations": []}
{"role": "student", "content": "OK. I understand. OK.", "session_id": 1441, "sequence_id": 889, "annotations": []}
{"role": "student", "content": "Mm, so I run out of paper. Let me find some paper.", "session_id": 1441, "sequence_id": 890, "annotations": []}
{"role": "volunteer", "content": "Mhm", "session_id": 1441, "sequence_id": 891, "annotations": []}
{"role": "student", "content": "OK. OK on paper.", "session_id": 1441, "sequence_id": 892, "annotations": []}
{"role": "student", "content": "OK", "session_id": 1441, "sequence_id": 893, "annotations": []}
{"role": "student", "content": "So I got, I got to show my work scratch work.", "session_id": 1441, "sequence_id": 894, "annotations": []}
{"role": "volunteer", "content": "Sure, yeah, take your time.", "session_id": 1441, "sequence_id": 895, "annotations": []}
{"role": "student", "content": "OK. Well, I, I got it.", "session_id": 1441, "sequence_id": 896, "annotations": []}
{"role": "student", "content": "So I'll take this off.", "session_id": 1441, "sequence_id": 897, "annotations": []}
{"role": "student", "content": "Um", "session_id": 1441, "sequence_id": 898, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 1441, "sequence_id": 899, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 1441, "sequence_id": 900, "annotations": []}
{"role": "student", "content": "these, this is the 2nd to last one, but both of them are almost the same. So I, I was never taught this because we didn't fix the notes, we ran out of time.", "session_id": 1441, "sequence_id": 901, "annotations": []}
{"role": "volunteer", "content": "All right. So let's go through it. It's not that hard.", "session_id": 1441, "sequence_id": 902, "annotations": []}
{"role": "volunteer", "content": "So whenever you have a function of any variable,", "session_id": 1441, "sequence_id": 903, "annotations": []}
{"role": "volunteer", "content": "when we say FX equals something, that means we're gonna do something to X.", "session_id": 1441, "sequence_id": 904, "annotations": []}
{"role": "volunteer", "content": "think of it as a machine. We're gonna plug in X into the formula.", "session_id": 1441, "sequence_id": 905, "annotations": []}
{"role": "volunteer", "content": "So, they give, they tell us what the formula is with the function there. That's the first equation they gave us, F X equals X squared minus X + 7.", "session_id": 1441, "sequence_id": 906, "annotations": []}
{"role": "volunteer", "content": "Now what they want you to do is instead of X to plug in", "session_id": 1441, "sequence_id": 907, "annotations": []}
{"role": "volunteer", "content": "7 + H", "session_id": 1441, "sequence_id": 908, "annotations": []}
{"role": "volunteer", "content": "then they want you to do it again and just plug in 7.", "session_id": 1441, "sequence_id": 909, "annotations": []}
{"role": "volunteer", "content": "And then they want you to divide by H.", "session_id": 1441, "sequence_id": 910, "annotations": []}
{"role": "volunteer", "content": "So,", "session_id": 1441, "sequence_id": 911, "annotations": []}
{"role": "volunteer", "content": "again, don't", "session_id": 1441, "sequence_id": 912, "annotations": []}
{"role": "volunteer", "content": "be afraid of", "session_id": 1441, "sequence_id": 913, "annotations": []}
{"role": "student", "content": "Um", "session_id": 1441, "sequence_id": 914, "annotations": []}
{"role": "volunteer", "content": "this is just notation. So", "session_id": 1441, "sequence_id": 915, "annotations": []}
{"role": "volunteer", "content": "think of FOX as a machine, and we're gonna plug in", "session_id": 1441, "sequence_id": 916, "annotations": []}
{"role": "volunteer", "content": "Efax", "session_id": 1441, "sequence_id": 917, "annotations": []}
{"role": "volunteer", "content": "So if I wrote F of", "session_id": 1441, "sequence_id": 918, "annotations": []}
{"role": "volunteer", "content": "7 + H", "session_id": 1441, "sequence_id": 919, "annotations": []}
{"role": "volunteer", "content": "all I'm going to do is", "session_id": 1441, "sequence_id": 920, "annotations": []}
{"role": "volunteer", "content": "plug 7+ H in for X", "session_id": 1441, "sequence_id": 921, "annotations": []}
{"role": "student", "content": "Mm", "session_id": 1441, "sequence_id": 922, "annotations": []}
{"role": "volunteer", "content": "So that'll be 7", "session_id": 1441, "sequence_id": 923, "annotations": []}
{"role": "volunteer", "content": "plus H.", "session_id": 1441, "sequence_id": 924, "annotations": []}
{"role": "volunteer", "content": "minus", "session_id": 1441, "sequence_id": 925, "annotations": []}
{"role": "volunteer", "content": "7 + H.", "session_id": 1441, "sequence_id": 926, "annotations": []}
{"role": "volunteer", "content": "+ 2", "session_id": 1441, "sequence_id": 927, "annotations": []}
{"role": "volunteer", "content": "So again", "session_id": 1441, "sequence_id": 928, "annotations": []}
{"role": "volunteer", "content": "all we're doing", "session_id": 1441, "sequence_id": 929, "annotations": []}
{"role": "volunteer", "content": "excuse me, I got a problem with my screen here. There we go.", "session_id": 1441, "sequence_id": 930, "annotations": []}
{"role": "volunteer", "content": "Um.", "session_id": 1441, "sequence_id": 931, "annotations": []}
{"role": "volunteer", "content": "all we're doing when we say F of something.", "session_id": 1441, "sequence_id": 932, "annotations": []}
{"role": "volunteer", "content": "is we're just taking the rule for F of X and we're instead of X, we're going to put in whatever they tell us.", "session_id": 1441, "sequence_id": 933, "annotations": []}
{"role": "student", "content": "OK", "session_id": 1441, "sequence_id": 934, "annotations": []}
{"role": "volunteer", "content": "So now, we have something we can, we can figure out what F of 7 + H is because we're", "session_id": 1441, "sequence_id": 935, "annotations": []}
{"role": "volunteer", "content": "good at foiling, right", "session_id": 1441, "sequence_id": 936, "annotations": []}
{"role": "student", "content": "Mm.", "session_id": 1441, "sequence_id": 937, "annotations": []}
{"role": "volunteer", "content": "So what would I get if I foil 7 + H times, you know, 7 + H.", "session_id": 1441, "sequence_id": 938, "annotations": []}
{"role": "student", "content": "It's 82 + 14H +49.", "session_id": 1441, "sequence_id": 939, "annotations": []}
{"role": "volunteer", "content": "Good.", "session_id": 1441, "sequence_id": 940, "annotations": []}
{"role": "volunteer", "content": "So I'm gonna write that here", "session_id": 1441, "sequence_id": 941, "annotations": []}
{"role": "volunteer", "content": "Good. And then I'm gonna subtract, I got to distribute that negative sign over, right?", "session_id": 1441, "sequence_id": 942, "annotations": []}
{"role": "student", "content": "Mhm.", "session_id": 1441, "sequence_id": 943, "annotations": []}
{"role": "volunteer", "content": "So I'm gonna subtract 7 and subtract 8, and then", "session_id": 1441, "sequence_id": 944, "annotations": []}
{"role": "volunteer", "content": "add 2", "session_id": 1441, "sequence_id": 945, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 1441, "sequence_id": 946, "annotations": []}
{"role": "volunteer", "content": "So", "session_id": 1441, "sequence_id": 947, "annotations": []}
{"role": "volunteer", "content": "we're just following", "session_id": 1441, "sequence_id": 948, "annotations": []}
{"role": "volunteer", "content": "algebra", "session_id": 1441, "sequence_id": 949, "annotations": []}
{"role": "volunteer", "content": "for what F of 7 + 8 means.", "session_id": 1441, "sequence_id": 950, "annotations": []}
{"role": "volunteer", "content": "We're gonna combine like terms.", "session_id": 1441, "sequence_id": 951, "annotations": []}
{"role": "volunteer", "content": "to how many H's do I have?", "session_id": 1441, "sequence_id": 952, "annotations": []}
{"role": "student", "content": "Um.", "session_id": 1441, "sequence_id": 953, "annotations": []}
{"role": "volunteer", "content": "Right?", "session_id": 1441, "sequence_id": 954, "annotations": []}
{"role": "student", "content": "+ 13.", "session_id": 1441, "sequence_id": 955, "annotations": []}
{"role": "volunteer", "content": "And we got H squared, let's see, 49 minus 7 is", "session_id": 1441, "sequence_id": 956, "annotations": []}
{"role": "volunteer", "content": "42 + 2 would be 44, right?", "session_id": 1441, "sequence_id": 957, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 1441, "sequence_id": 958, "annotations": []}
{"role": "volunteer", "content": "All right, so", "session_id": 1441, "sequence_id": 959, "annotations": []}
{"role": "volunteer", "content": "what we've done so far is we're, we're computing this thing", "session_id": 1441, "sequence_id": 960, "annotations": []}
{"role": "volunteer", "content": "but we only have the first piece of it. So we gotta keep going with the next piece.", "session_id": 1441, "sequence_id": 961, "annotations": []}
{"role": "volunteer", "content": "Oh.", "session_id": 1441, "sequence_id": 962, "annotations": []}
{"role": "volunteer", "content": "So when I say F of H or H of 7, what would I do? Here is", "session_id": 1441, "sequence_id": 963, "annotations": []}
{"role": "volunteer", "content": "I'm gonna write H of 7", "session_id": 1441, "sequence_id": 964, "annotations": []}
{"role": "volunteer", "content": "What would age of 7 be?", "session_id": 1441, "sequence_id": 965, "annotations": []}
{"role": "student", "content": "age of 7", "session_id": 1441, "sequence_id": 966, "annotations": []}
{"role": "volunteer", "content": "I'm sorry, it's F of 7, not H.", "session_id": 1441, "sequence_id": 967, "annotations": []}
{"role": "student", "content": "OK", "session_id": 1441, "sequence_id": 968, "annotations": []}
{"role": "volunteer", "content": "That's no wonder you're confused.", "session_id": 1441, "sequence_id": 969, "annotations": []}
{"role": "student", "content": "Um.", "session_id": 1441, "sequence_id": 970, "annotations": []}
{"role": "volunteer", "content": "F of 7. So if I'm using", "session_id": 1441, "sequence_id": 971, "annotations": []}
{"role": "volunteer", "content": "if I have to plug 7 in for X, what am I gonna get?", "session_id": 1441, "sequence_id": 972, "annotations": []}
{"role": "student", "content": "07 square minus 7 + 2.", "session_id": 1441, "sequence_id": 973, "annotations": []}
{"role": "volunteer", "content": "Excellent", "session_id": 1441, "sequence_id": 974, "annotations": []}
{"role": "volunteer", "content": "And that is equal to 49", "session_id": 1441, "sequence_id": 975, "annotations": []}
{"role": "volunteer", "content": "minus 5, right?", "session_id": 1441, "sequence_id": 976, "annotations": []}
{"role": "student", "content": "Mine is what?", "session_id": 1441, "sequence_id": 977, "annotations": []}
{"role": "volunteer", "content": "-7 + 2, so it would be minus 5, I believe.", "session_id": 1441, "sequence_id": 978, "annotations": []}
{"role": "student", "content": "Oh yeah", "session_id": 1441, "sequence_id": 979, "annotations": []}
{"role": "student", "content": "Mine is", "session_id": 1441, "sequence_id": 980, "annotations": []}
{"role": "volunteer", "content": "is 44.", "session_id": 1441, "sequence_id": 981, "annotations": []}
{"role": "volunteer", "content": "All right.", "session_id": 1441, "sequence_id": 982, "annotations": []}
{"role": "volunteer", "content": "So what we've done is we've gotten two pieces of", "session_id": 1441, "sequence_id": 983, "annotations": []}
{"role": "volunteer", "content": "the thing and we're", "session_id": 1441, "sequence_id": 984, "annotations": []}
{"role": "volunteer", "content": "um, we're", "session_id": 1441, "sequence_id": 985, "annotations": []}
{"role": "volunteer", "content": "we're ready to do what they asked us to do. They want us to take F of 7 + H.", "session_id": 1441, "sequence_id": 986, "annotations": []}
{"role": "volunteer", "content": "Well, we already know what that is", "session_id": 1441, "sequence_id": 987, "annotations": []}
{"role": "volunteer", "content": "So I'm just gonna put", "session_id": 1441, "sequence_id": 988, "annotations": []}
{"role": "volunteer", "content": "on this side answer", "session_id": 1441, "sequence_id": 989, "annotations": []}
{"role": "volunteer", "content": "now because we're gonna do what they said", "session_id": 1441, "sequence_id": 990, "annotations": []}
{"role": "volunteer", "content": "We're gonna take F of 7 + H, which is 82.", "session_id": 1441, "sequence_id": 991, "annotations": []}
{"role": "volunteer", "content": "+ 13H.", "session_id": 1441, "sequence_id": 992, "annotations": []}
{"role": "volunteer", "content": "+ 44", "session_id": 1441, "sequence_id": 993, "annotations": []}
{"role": "volunteer", "content": "We're gonna subtract 44 from it.", "session_id": 1441, "sequence_id": 994, "annotations": []}
{"role": "volunteer", "content": "and then we're gonna divide by H.", "session_id": 1441, "sequence_id": 995, "annotations": []}
{"role": "volunteer", "content": "and we're going to simplify that a little bit.", "session_id": 1441, "sequence_id": 996, "annotations": []}
{"role": "volunteer", "content": "and we would get 82.", "session_id": 1441, "sequence_id": 997, "annotations": []}
{"role": "volunteer", "content": "plus 13.8", "session_id": 1441, "sequence_id": 998, "annotations": []}
{"role": "volunteer", "content": "H.", "session_id": 1441, "sequence_id": 999, "annotations": []}
{"role": "volunteer", "content": "over 8", "session_id": 1441, "sequence_id": 1000, "annotations": []}
{"role": "student", "content": "Can you sit reflections there?", "session_id": 1441, "sequence_id": 1001, "annotations": []}
{"role": "volunteer", "content": "Sorry", "session_id": 1441, "sequence_id": 1002, "annotations": []}
{"role": "student", "content": "Can you can you separate the fractions there?", "session_id": 1441, "sequence_id": 1003, "annotations": []}
{"role": "volunteer", "content": "We can't because we have one denominator, excellent.", "session_id": 1441, "sequence_id": 1004, "annotations": []}
{"role": "volunteer", "content": "So what would I get for the final answer?", "session_id": 1441, "sequence_id": 1005, "annotations": []}
{"role": "student", "content": "Mm, it's weird.", "session_id": 1441, "sequence_id": 1006, "annotations": []}
{"role": "student", "content": "Um", "session_id": 1441, "sequence_id": 1007, "annotations": []}
{"role": "student", "content": "A", "session_id": 1441, "sequence_id": 1008, "annotations": []}
{"role": "student", "content": "actually, I don't know.", "session_id": 1441, "sequence_id": 1009, "annotations": []}
{"role": "volunteer", "content": "H + 13, right?", "session_id": 1441, "sequence_id": 1010, "annotations": []}
{"role": "volunteer", "content": "So I take the first part.", "session_id": 1441, "sequence_id": 1011, "annotations": []}
{"role": "volunteer", "content": "82 over h is just H, right?", "session_id": 1441, "sequence_id": 1012, "annotations": []}
{"role": "student", "content": "Right", "session_id": 1441, "sequence_id": 1013, "annotations": []}
{"role": "volunteer", "content": "If I am 82 divided by H, it's just H.", "session_id": 1441, "sequence_id": 1014, "annotations": []}
{"role": "student", "content": "Mm", "session_id": 1441, "sequence_id": 1015, "annotations": []}
{"role": "volunteer", "content": "because the, one of the H is canceled, and then if I have 13 H divided by H, the H is canceled and I'm just", "session_id": 1441, "sequence_id": 1016, "annotations": []}
{"role": "volunteer", "content": "left with 13", "session_id": 1441, "sequence_id": 1017, "annotations": []}
{"role": "student", "content": "Mm", "session_id": 1441, "sequence_id": 1018, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 1441, "sequence_id": 1019, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 1441, "sequence_id": 1020, "annotations": []}
{"role": "volunteer", "content": "So", "session_id": 1441, "sequence_id": 1021, "annotations": []}
{"role": "volunteer", "content": "our answer is H + 13. We did the problem.", "session_id": 1441, "sequence_id": 1022, "annotations": []}
{"role": "student", "content": "Wow", "session_id": 1441, "sequence_id": 1023, "annotations": []}
{"role": "student", "content": "OK", "session_id": 1441, "sequence_id": 1024, "annotations": []}
{"role": "volunteer", "content": "and whenever you take calculus, you'll see why you do these problems, but that's for the reason why you do it is not important now, but this is practice", "session_id": 1441, "sequence_id": 1025, "annotations": []}
{"role": "volunteer", "content": "for future courses", "session_id": 1441, "sequence_id": 1026, "annotations": []}
{"role": "student", "content": "OK", "session_id": 1441, "sequence_id": 1027, "annotations": []}
{"role": "student", "content": "OK", "session_id": 1441, "sequence_id": 1028, "annotations": []}
{"role": "volunteer", "content": "That's all, so remember, when you have a function", "session_id": 1441, "sequence_id": 1029, "annotations": []}
{"role": "volunteer", "content": "and they ask you to do something to that function like they did in this example. You just plug in, instead of X, you just use whatever they tell you to plug in. That's all we're doing.", "session_id": 1441, "sequence_id": 1030, "annotations": []}
{"role": "student", "content": "Mm, OK", "session_id": 1441, "sequence_id": 1031, "annotations": []}
{"role": "volunteer", "content": "and we're just simplifying", "session_id": 1441, "sequence_id": 1032, "annotations": []}
{"role": "student", "content": "OK, awesome", "session_id": 1441, "sequence_id": 1033, "annotations": []}
{"role": "volunteer", "content": "Good", "session_id": 1441, "sequence_id": 1034, "annotations": []}
{"role": "student", "content": "OK. I think I can do this next one on my own then.", "session_id": 1441, "sequence_id": 1035, "annotations": []}
{"role": "volunteer", "content": "All righty", "session_id": 1441, "sequence_id": 1036, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 1441, "sequence_id": 1037, "annotations": []}
{"role": "volunteer", "content": "Well, you're doing really well. You're patiently hung in there, so.", "session_id": 1441, "sequence_id": 1038, "annotations": []}
{"role": "volunteer", "content": "you have a good evening", "session_id": 1441, "sequence_id": 1039, "annotations": []}
{"role": "student", "content": "Yes, likewise, thank you so much for your help.", "session_id": 1441, "sequence_id": 1040, "annotations": []}
{"role": "volunteer", "content": "You're welcome. Bye-bye.", "session_id": 1441, "sequence_id": 1041, "annotations": []}
{"role": "student", "content": "Michael", "session_id": 1517, "sequence_id": 0, "annotations": [{"pii_type": "PERSON", "surrogate": "Michael", "start": 0, "end": 7}]}
{"role": "volunteer", "content": "hello", "session_id": 1517, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "how are you", "session_id": 1517, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "part", "session_id": 1517, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "Are you ready for the first question?", "session_id": 1517, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "good.  Yes!", "session_id": 1517, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "Because there's a total of 16 questions.", "session_id": 1517, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "OK, I will go ahead and give you the first question then.", "session_id": 1517, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "OK", "session_id": 1517, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 1517, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "OK, the first part, it says solve for X Heals.", "session_id": 1517, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "I hope you don't", "session_id": 1517, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "x=2x--7=11", "session_id": 1517, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "That's the first question.", "session_id": 1517, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "i messed up on the 7 its supost to be -7", "session_id": 1517, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "ok great.", "session_id": 1517, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "I just want to make sure we are writing it correctly.", "session_id": 1517, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "Is the question \"solve for x when 2x-7 =-14 11\"?", "session_id": 1517, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "oops sorry I meant", "session_id": 1517, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "\"solve for x when 2x-7 =-14 11\"", "session_id": 1517, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "I don't know why that -14 keeps appearing let me write it on the board", "session_id": 1517, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "Is the question the way I show it now on the board?", "session_id": 1517, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "Is that what we need to work on?", "session_id": 1517, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "YES", "session_id": 1517, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "great", "session_id": 1517, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "(sorry about those typos!)", "session_id": 1517, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "Do you have any thoughts on maybe how we could start?", "session_id": 1517, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "hey your fine everyone makes mastakes", "session_id": 1517, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "very true", "session_id": 1517, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "That's how it's actually supposed to work. I forgot the other eggs. My bad.", "session_id": 1517, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "I've got the other x", "session_id": 1517, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "I forgot my bad. My bad.", "session_id": 1517, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "Men, I hate all these typepers.", "session_id": 1517, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "you good", "session_id": 1517, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "i think we want to start by getting that -7 out of there", "session_id": 1517, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "OK That's fine.", "session_id": 1517, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "How about we add 7 to both sides", "session_id": 1517, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "OK, you're the teacher.", "session_id": 1517, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "Can you take the next step?", "session_id": 1517, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "we add", "session_id": 1517, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "right", "session_id": 1517, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 1517, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "ok", "session_id": 1517, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "one sec", "session_id": 1517, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "So to the right of the equal sign it is 11 plus 7", "session_id": 1517, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "lets start there", "session_id": 1517, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "18", "session_id": 1517, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "right", "session_id": 1517, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "perfect", "session_id": 1517, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "now to the left of the equal sign", "session_id": 1517, "sequence_id": 49, "annotations": []}
{"role": "student", "content": "14 correct", "session_id": 1517, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "that 2x stays just like it is", "session_id": 1517, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "what about minus 7 plus 7 what does that equal?", "session_id": 1517, "sequence_id": 52, "annotations": []}
{"role": "student", "content": "-14 maybe", "session_id": 1517, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "If I gave you 7 dollars and then said hey can you give me seven dollars what are you left with?", "session_id": 1517, "sequence_id": 54, "annotations": []}
{"role": "student", "content": "0", "session_id": 1517, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "you git it", "session_id": 1517, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "*got", "session_id": 1517, "sequence_id": 57, "annotations": []}
{"role": "student", "content": "ohhhhh ok", "session_id": 1517, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "2x plus zero becomes what?", "session_id": 1517, "sequence_id": 59, "annotations": []}
{"role": "student", "content": "2x", "session_id": 1517, "sequence_id": 60, "annotations": []}
{"role": "student", "content": "right", "session_id": 1517, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 1517, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "Ok now we want to be left with just the x", "session_id": 1517, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "That 2 needs to get out of there", "session_id": 1517, "sequence_id": 64, "annotations": []}
{"role": "student", "content": "yes sir", "session_id": 1517, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "any thoughts on how we make it go away?", "session_id": 1517, "sequence_id": 66, "annotations": []}
{"role": "student", "content": "divide to both sides.", "session_id": 1517, "sequence_id": 67, "annotations": []}
{"role": "student", "content": "Maybe question mark.", "session_id": 1517, "sequence_id": 68, "annotations": []}
{"role": "student", "content": "I meant add 2 to both sides.", "session_id": 1517, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "I think you had it the first time", "session_id": 1517, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "divide by 2 on both sides", "session_id": 1517, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "that will get that 2 out of there", "session_id": 1517, "sequence_id": 72, "annotations": []}
{"role": "student", "content": "OK", "session_id": 1517, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "what is next on both sides?", "session_id": 1517, "sequence_id": 74, "annotations": []}
{"role": "student", "content": "a 2 ??", "session_id": 1517, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "lets start on the right side of the equal sign", "session_id": 1517, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "18 divided by 9 is what?", "session_id": 1517, "sequence_id": 77, "annotations": []}
{"role": "student", "content": "2", "session_id": 1517, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "oops I meant 18 divided by 2", "session_id": 1517, "sequence_id": 79, "annotations": []}
{"role": "student", "content": "??", "session_id": 1517, "sequence_id": 80, "annotations": []}
{"role": "student", "content": "9", "session_id": 1517, "sequence_id": 81, "annotations": []}
{"role": "volunteer", "content": "you got it", "session_id": 1517, "sequence_id": 82, "annotations": []}
{"role": "volunteer", "content": "we just have to get that 2x divided by 2 now", "session_id": 1517, "sequence_id": 83, "annotations": []}
{"role": "student", "content": "1 ??", "session_id": 1517, "sequence_id": 84, "annotations": []}
{"role": "volunteer", "content": "The x can stay all alone.  What is 2 divided by 2?", "session_id": 1517, "sequence_id": 85, "annotations": []}
{"role": "student", "content": "1", "session_id": 1517, "sequence_id": 86, "annotations": []}
{"role": "volunteer", "content": "what is 1 times x ?", "session_id": 1517, "sequence_id": 87, "annotations": []}
{"role": "volunteer", "content": "(what is 1 times anything?)", "session_id": 1517, "sequence_id": 88, "annotations": []}
{"role": "student", "content": "be right back im going to get me somethin to drink", "session_id": 1517, "sequence_id": 89, "annotations": []}
{"role": "student", "content": "ok im. b ack", "session_id": 1517, "sequence_id": 90, "annotations": []}
{"role": "volunteer", "content": "we were at 1 times x", "session_id": 1517, "sequence_id": 91, "annotations": []}
{"role": "student", "content": "ok", "session_id": 1517, "sequence_id": 92, "annotations": []}
{"role": "volunteer", "content": "what is that?", "session_id": 1517, "sequence_id": 93, "annotations": []}
{"role": "student", "content": "ummm", "session_id": 1517, "sequence_id": 94, "annotations": []}
{"role": "volunteer", "content": "1 times anything is always what you start with", "session_id": 1517, "sequence_id": 95, "annotations": []}
{"role": "volunteer", "content": "so 1 times x is", "session_id": 1517, "sequence_id": 96, "annotations": []}
{"role": "student", "content": "1 right", "session_id": 1517, "sequence_id": 97, "annotations": []}
{"role": "volunteer", "content": "x", "session_id": 1517, "sequence_id": 98, "annotations": []}
{"role": "student", "content": "ohhhh", "session_id": 1517, "sequence_id": 99, "annotations": []}
{"role": "volunteer", "content": "x=9", "session_id": 1517, "sequence_id": 100, "annotations": []}
{"role": "student", "content": "oh ok", "session_id": 1517, "sequence_id": 101, "annotations": []}
{"role": "student", "content": "you ready for the next one", "session_id": 1517, "sequence_id": 102, "annotations": []}
{"role": "volunteer", "content": "Yes - I won't be able to do all 16 but lets try another", "session_id": 1517, "sequence_id": 103, "annotations": []}
{"role": "student", "content": "ok thats fine", "session_id": 1517, "sequence_id": 104, "annotations": []}
{"role": "student", "content": "-5x=20", "session_id": 1517, "sequence_id": 105, "annotations": []}
{"role": "volunteer", "content": "OK so if you look above at the last problem there is a step we took that we can take in this problem", "session_id": 1517, "sequence_id": 106, "annotations": []}
{"role": "student", "content": "ok", "session_id": 1517, "sequence_id": 107, "annotations": []}
{"role": "volunteer", "content": "Remember I said \"lets get that x all by itself\"?", "session_id": 1517, "sequence_id": 108, "annotations": []}
{"role": "student", "content": "yea", "session_id": 1517, "sequence_id": 109, "annotations": []}
{"role": "volunteer", "content": "How could we get x all by itself this time?", "session_id": 1517, "sequence_id": 110, "annotations": []}
{"role": "student", "content": "ummm", "session_id": 1517, "sequence_id": 111, "annotations": []}
{"role": "volunteer", "content": "we could divide both sides by something", "session_id": 1517, "sequence_id": 112, "annotations": []}
{"role": "student", "content": "oh yea", "session_id": 1517, "sequence_id": 113, "annotations": []}
{"role": "volunteer", "content": "what could we divide by?", "session_id": 1517, "sequence_id": 114, "annotations": []}
{"role": "student", "content": "both", "session_id": 1517, "sequence_id": 115, "annotations": []}
{"role": "student", "content": "sides", "session_id": 1517, "sequence_id": 116, "annotations": []}
{"role": "student", "content": "??\\", "session_id": 1517, "sequence_id": 117, "annotations": []}
{"role": "volunteer", "content": "yes exactly", "session_id": 1517, "sequence_id": 118, "annotations": []}
{"role": "volunteer", "content": "but what number could we divide each side by", "session_id": 1517, "sequence_id": 119, "annotations": []}
{"role": "student", "content": "5", "session_id": 1517, "sequence_id": 120, "annotations": []}
{"role": "student", "content": "??", "session_id": 1517, "sequence_id": 121, "annotations": []}
{"role": "volunteer", "content": "ok lets try that", "session_id": 1517, "sequence_id": 122, "annotations": []}
{"role": "volunteer", "content": "what do we get on the right side of the equal sign", "session_id": 1517, "sequence_id": 123, "annotations": []}
{"role": "student", "content": "divid???", "session_id": 1517, "sequence_id": 124, "annotations": []}
{"role": "student", "content": "maybe", "session_id": 1517, "sequence_id": 125, "annotations": []}
{"role": "volunteer", "content": "yes what is 20 divided by 5?", "session_id": 1517, "sequence_id": 126, "annotations": []}
{"role": "student", "content": "4", "session_id": 1517, "sequence_id": 127, "annotations": []}
{"role": "volunteer", "content": "great", "session_id": 1517, "sequence_id": 128, "annotations": []}
{"role": "volunteer", "content": "now we need to get that x all by itself on the left side", "session_id": 1517, "sequence_id": 129, "annotations": []}
{"role": "student", "content": "di9vid", "session_id": 1517, "sequence_id": 130, "annotations": []}
{"role": "volunteer", "content": "so what is minus 5 divided by 5", "session_id": 1517, "sequence_id": 131, "annotations": []}
{"role": "student", "content": "divid", "session_id": 1517, "sequence_id": 132, "annotations": []}
{"role": "student", "content": "-1???", "session_id": 1517, "sequence_id": 133, "annotations": []}
{"role": "volunteer", "content": "you got it", "session_id": 1517, "sequence_id": 134, "annotations": []}
{"role": "volunteer", "content": "But that minus 1 in front of x is annoying", "session_id": 1517, "sequence_id": 135, "annotations": []}
{"role": "volunteer", "content": "lets get it out of there", "session_id": 1517, "sequence_id": 136, "annotations": []}
{"role": "volunteer", "content": "-1 times what is 1?", "session_id": 1517, "sequence_id": 137, "annotations": []}
{"role": "student", "content": "1", "session_id": 1517, "sequence_id": 138, "annotations": []}
{"role": "volunteer", "content": "its actually minus 1.  A minus times a minus is a plus.  So -1 times -1 is 1.", "session_id": 1517, "sequence_id": 139, "annotations": []}
{"role": "student", "content": "oh my bad", "session_id": 1517, "sequence_id": 140, "annotations": []}
{"role": "volunteer", "content": "I am running out of room so I will go back up top", "session_id": 1517, "sequence_id": 141, "annotations": []}
{"role": "student", "content": "ok", "session_id": 1517, "sequence_id": 142, "annotations": []}
{"role": "student", "content": "ok", "session_id": 1517, "sequence_id": 143, "annotations": []}
{"role": "volunteer", "content": "what is minus 1 times 4?", "session_id": 1517, "sequence_id": 144, "annotations": []}
{"role": "volunteer", "content": "are you still there?", "session_id": 1517, "sequence_id": 145, "annotations": []}
{"role": "volunteer", "content": "I am going to end the session.  You can submit a new request later when you are back.", "session_id": 1517, "sequence_id": 146, "annotations": []}
{"role": "student", "content": "kk", "session_id": 1517, "sequence_id": 147, "annotations": []}
{"role": "volunteer", "content": "Hey Maya! How are you?", "session_id": 1780, "sequence_id": 0, "annotations": [{"pii_type": "PERSON", "surrogate": "Maya", "start": 4, "end": 8}]}
{"role": "student", "content": "I am good.  How about you", "session_id": 1780, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "Doing good as well! What do you need help with?", "session_id": 1780, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "I need help with my homework. Would it be possible to speak?", "session_id": 1780, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "Sure we can do that", "session_id": 1780, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "How do I turn on my mic?", "session_id": 1780, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "should be in the top right of this chat window", "session_id": 1780, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "Hello", "session_id": 1780, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "Are you able to hear me", "session_id": 1780, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "Oh hey, yes, I'm able to hear him.", "session_id": 1780, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "Oh, OK. Um", "session_id": 1780, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "I have a question", "session_id": 1780, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "about", "session_id": 1780, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "a homework assignment we're doing right now because I don't understand the topic that well.", "session_id": 1780, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "Mm, sure, yeah, let, let me know what that is, uh, if you want, you can attach like the salmon here.", "session_id": 1780, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "like as a picture or write it down, whichever uh works for you.", "session_id": 1780, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "Um, so like right now we're factoring polynomials and um", "session_id": 1780, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "I just don't understand like how to do it. Here, I'll write down and", "session_id": 1780, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "um", "session_id": 1780, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "oh, this is a question I have the inclusion on it.", "session_id": 1780, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "uh.", "session_id": 1780, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "and there's like more questions like this on my statement.", "session_id": 1780, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "OK, yeah, we can definitely go uh over this one. So, uh, did you already start it or uh this year just now starting with it.", "session_id": 1780, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "Oh.", "session_id": 1780, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "I already started it. I like pop the GCF. It's just, I don't understand um", "session_id": 1780, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "and then I tried like doing the diamond method to like simplify any further, but then I don't understand what to do afterwards.", "session_id": 1780, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "Mhm", "session_id": 1780, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "OK, yeah. Um,", "session_id": 1780, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "uh, write it down what you have after you", "session_id": 1780, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "uh get the GCF. What, what would the equation be?", "session_id": 1780, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "Um", "session_id": 1780, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "when you factor out the GCF.", "session_id": 1780, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 1780, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "So, after this, I got confused because I didn't understand and like why I was like um", "session_id": 1780, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "the researching or not researching but like cooking for the answer. Like it was a totally different thing than the original equation", "session_id": 1780, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "thought it was", "session_id": 1780, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "OK, yeah, that makes sense.", "session_id": 1780, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "Uh, so for this one, you were, you got this part.", "session_id": 1780, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "um, correct?", "session_id": 1780, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "So it will be", "session_id": 1780, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "uh, like this, like you factored out the GCF correctly.", "session_id": 1780, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "Um, I believe, and then", "session_id": 1780, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "uh what you can do", "session_id": 1780, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "after that is", "session_id": 1780, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "um", "session_id": 1780, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "like", "session_id": 1780, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "substitute, like, do you know", "session_id": 1780, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "uh have you heard of, uh, have you done", "session_id": 1780, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "like you substitution.", "session_id": 1780, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "Yeah, we've done substitution.", "session_id": 1780, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "Uh, so", "session_id": 1780, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "uh, with you substitution, you're basically uh replace", "session_id": 1780, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "uh x squared right here.", "session_id": 1780, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "with uh the letter U", "session_id": 1780, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "and that would later help you out with like factoring it.", "session_id": 1780, "sequence_id": 54, "annotations": []}
{"role": "student", "content": "Um, what's the point of", "session_id": 1780, "sequence_id": 55, "annotations": []}
{"role": "student", "content": "you?", "session_id": 1780, "sequence_id": 56, "annotations": []}
{"role": "student", "content": "Um", "session_id": 1780, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "Uh, basically, the idea is that it's easier uh to like factor that way. I mean, I can explain it in more detail and it's gonna be like easier to understand.", "session_id": 1780, "sequence_id": 58, "annotations": []}
{"role": "student", "content": "Sure", "session_id": 1780, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "So basically, you would have uh", "session_id": 1780, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "you would just uh take this term that's inside the parentheses.", "session_id": 1780, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "So then you'd have", "session_id": 1780, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "2 you", "session_id": 1780, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "squad", "session_id": 1780, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "minus", "session_id": 1780, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "U.", "session_id": 1780, "sequence_id": 66, "annotations": []}
{"role": "student", "content": "Mm", "session_id": 1780, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "minus", "session_id": 1780, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "3", "session_id": 1780, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "Uh-huh", "session_id": 1780, "sequence_id": 70, "annotations": []}
{"role": "student", "content": "Um, I have a question. Why do you change the two X, like 4 to 40", "session_id": 1780, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "yeah,", "session_id": 1780, "sequence_id": 72, "annotations": []}
{"role": "student", "content": "what.", "session_id": 1780, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "So the, uh, we, we figured out like we said, you equal to x 2.", "session_id": 1780, "sequence_id": 74, "annotations": []}
{"role": "volunteer", "content": "So for this 1, 2x the 4th.", "session_id": 1780, "sequence_id": 75, "annotations": []}
{"role": "student", "content": "Oh, OK.", "session_id": 1780, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "Yeah, yeah, it's like 2 times x squared times x^2. That's how, uh, that's like the logic there, that makes sense.", "session_id": 1780, "sequence_id": 77, "annotations": []}
{"role": "student", "content": "Uh, I have another question then.", "session_id": 1780, "sequence_id": 78, "annotations": []}
{"role": "student", "content": "What would you do for the 3 because like wouldn't you, like if you're gonna divide by you, like you like um.", "session_id": 1780, "sequence_id": 79, "annotations": []}
{"role": "student", "content": "wouldn't you also like change", "session_id": 1780, "sequence_id": 80, "annotations": []}
{"role": "volunteer", "content": "Uh-huh", "session_id": 1780, "sequence_id": 81, "annotations": []}
{"role": "student", "content": "the minus 3 people.", "session_id": 1780, "sequence_id": 82, "annotations": []}
{"role": "volunteer", "content": "Yeah, so the three senses already like outside of the parentheses and it's like the GCF. We would just include in the final equation, but we don't really uh need to do anything else with it. If all you need to do is just like factor it.", "session_id": 1780, "sequence_id": 83, "annotations": []}
{"role": "student", "content": "Um, no, no, no. I'm not the 3 on the outside, like the 3 on the inside with the parabola.", "session_id": 1780, "sequence_id": 84, "annotations": []}
{"role": "volunteer", "content": "Oh, the, oh, this one you mean, uh.", "session_id": 1780, "sequence_id": 85, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 1780, "sequence_id": 86, "annotations": []}
{"role": "volunteer", "content": "yeah, so since that one doesn't have like an X squared.", "session_id": 1780, "sequence_id": 87, "annotations": []}
{"role": "volunteer", "content": "Uh, we don't really do anything with it.", "session_id": 1780, "sequence_id": 88, "annotations": []}
{"role": "volunteer", "content": "So we would just like transfer it over like right here.", "session_id": 1780, "sequence_id": 89, "annotations": []}
{"role": "student", "content": "OK, so we just like leave it alone.", "session_id": 1780, "sequence_id": 90, "annotations": []}
{"role": "volunteer", "content": "Yeah, so what we do is just like take what's inside the parentheses and then for x squared we do the u. and now it's like in a simple quadratic.", "session_id": 1780, "sequence_id": 91, "annotations": []}
{"role": "volunteer", "content": "uh way that it's written.", "session_id": 1780, "sequence_id": 92, "annotations": []}
{"role": "volunteer", "content": "So now we can just uh factor it.", "session_id": 1780, "sequence_id": 93, "annotations": []}
{"role": "volunteer", "content": "kind of like uh normal.", "session_id": 1780, "sequence_id": 94, "annotations": []}
{"role": "student", "content": "Um", "session_id": 1780, "sequence_id": 95, "annotations": []}
{"role": "volunteer", "content": "Yeah.", "session_id": 1780, "sequence_id": 96, "annotations": []}
{"role": "student", "content": "cause then you, I can use the dime. One more question, sorry, I was a bit confused when you were speaking about the 3 x square. Well, why again would it not be included because like it's not like", "session_id": 1780, "sequence_id": 97, "annotations": []}
{"role": "student", "content": "in the like parabula, so it's like outside of it.", "session_id": 1780, "sequence_id": 98, "annotations": []}
{"role": "volunteer", "content": "Yeah, it's, it's not in the parentheses and like it's a GCF so we just like factor it out and we uh don't really need it anymore for like this part.", "session_id": 1780, "sequence_id": 99, "annotations": []}
{"role": "student", "content": "Wouldn't you need to like re-multply it back in though.", "session_id": 1780, "sequence_id": 100, "annotations": []}
{"role": "volunteer", "content": "Uh, not actually because your goal is to factor and to factor is like to break it down. But if you were to like multiply it, then", "session_id": 1780, "sequence_id": 101, "annotations": []}
{"role": "volunteer", "content": "you'll just get back to this like original 4 on the equation.", "session_id": 1780, "sequence_id": 102, "annotations": []}
{"role": "student", "content": "Oh", "session_id": 1780, "sequence_id": 103, "annotations": []}
{"role": "volunteer", "content": "But when it's asking you to factor, uh, you, it's asking you to like break it down into terms.", "session_id": 1780, "sequence_id": 104, "annotations": []}
{"role": "volunteer", "content": "basically", "session_id": 1780, "sequence_id": 105, "annotations": []}
{"role": "volunteer", "content": "So if you were to multiply all those factors, you get the same form as this one right here. Well, that's this whole thing.", "session_id": 1780, "sequence_id": 106, "annotations": []}
{"role": "student", "content": "OK", "session_id": 1780, "sequence_id": 107, "annotations": []}
{"role": "volunteer", "content": "So that's kind of the idea behind it. So I mean, you can think of it, or you can think of this one.", "session_id": 1780, "sequence_id": 108, "annotations": []}
{"role": "volunteer", "content": "uh, like the normal 2 x 2", "session_id": 1780, "sequence_id": 109, "annotations": []}
{"role": "volunteer", "content": "m in 2x squared X minus 3", "session_id": 1780, "sequence_id": 110, "annotations": []}
{"role": "volunteer", "content": "You don't have to think of like you, whichever is helpful, and then you can do like the diamond method from there.", "session_id": 1780, "sequence_id": 111, "annotations": []}
{"role": "student", "content": "Um, OK, if my little finger when you know, there's one thing that I don't, uh, doesn't make sense. So when in the parentheses what we're gonna do is like we're just dividing it by x squared to get.", "session_id": 1780, "sequence_id": 112, "annotations": []}
{"role": "student", "content": "it to a simpler", "session_id": 1780, "sequence_id": 113, "annotations": []}
{"role": "student", "content": "way.", "session_id": 1780, "sequence_id": 114, "annotations": []}
{"role": "volunteer", "content": "Uh, not exactly dividing, but like we, we substitute you for x squared, basically.", "session_id": 1780, "sequence_id": 115, "annotations": []}
{"role": "student", "content": "Mm, and then afterwards you substitute mu, you change it back to a X and uh.", "session_id": 1780, "sequence_id": 116, "annotations": []}
{"role": "student", "content": "it's the same thing, it's just you tuned to the x squared", "session_id": 1780, "sequence_id": 117, "annotations": []}
{"role": "volunteer", "content": "Yeah, yeah, we changed the you back to x squared.", "session_id": 1780, "sequence_id": 118, "annotations": []}
{"role": "volunteer", "content": "And so you would get two fact uh you get like two factors from this. So you have like parentheses like this and parentheses like this.", "session_id": 1780, "sequence_id": 119, "annotations": []}
{"role": "volunteer", "content": "And then you would add your 3 X, well, just", "session_id": 1780, "sequence_id": 120, "annotations": []}
{"role": "volunteer", "content": "uh as the like the third factor, and that would be like your final answer.", "session_id": 1780, "sequence_id": 121, "annotations": []}
{"role": "student", "content": "OK. So", "session_id": 1780, "sequence_id": 122, "annotations": []}
{"role": "student", "content": "then we can do the diamond on this, so it'd be like -3.", "session_id": 1780, "sequence_id": 123, "annotations": []}
{"role": "student", "content": "everything", "session_id": 1780, "sequence_id": 124, "annotations": []}
{"role": "volunteer", "content": "Uh-huh.", "session_id": 1780, "sequence_id": 125, "annotations": []}
{"role": "volunteer", "content": "Yeah.", "session_id": 1780, "sequence_id": 126, "annotations": []}
{"role": "volunteer", "content": "You're on the right track", "session_id": 1780, "sequence_id": 127, "annotations": []}
{"role": "student", "content": "So", "session_id": 1780, "sequence_id": 128, "annotations": []}
{"role": "student", "content": "negative", "session_id": 1780, "sequence_id": 129, "annotations": []}
{"role": "student", "content": "3", "session_id": 1780, "sequence_id": 130, "annotations": []}
{"role": "student", "content": "no", "session_id": 1780, "sequence_id": 131, "annotations": []}
{"role": "student", "content": "would I multiply the two times the negative?", "session_id": 1780, "sequence_id": 132, "annotations": []}
{"role": "volunteer", "content": "Uh, yeah, yeah, it will be 2 times -3.", "session_id": 1780, "sequence_id": 133, "annotations": []}
{"role": "student", "content": "Oh", "session_id": 1780, "sequence_id": 134, "annotations": []}
{"role": "volunteer", "content": "for your uh diamond. Yeah, yeah, exactly.", "session_id": 1780, "sequence_id": 135, "annotations": []}
{"role": "student", "content": "and then I would have like -3 and 2, so", "session_id": 1780, "sequence_id": 136, "annotations": []}
{"role": "volunteer", "content": "Yeah.", "session_id": 1780, "sequence_id": 137, "annotations": []}
{"role": "student", "content": "um, but then after that, wouldn't I just write like", "session_id": 1780, "sequence_id": 138, "annotations": []}
{"role": "student", "content": "then I'm confused, what would I write as though because like", "session_id": 1780, "sequence_id": 139, "annotations": []}
{"role": "student", "content": "uh", "session_id": 1780, "sequence_id": 140, "annotations": []}
{"role": "student", "content": "I already", "session_id": 1780, "sequence_id": 141, "annotations": []}
{"role": "volunteer", "content": "Yeah, no, no worries, no worries.", "session_id": 1780, "sequence_id": 142, "annotations": []}
{"role": "volunteer", "content": "So", "session_id": 1780, "sequence_id": 143, "annotations": []}
{"role": "volunteer", "content": "um, you already know that it's gonna be, like you said,", "session_id": 1780, "sequence_id": 144, "annotations": []}
{"role": "volunteer", "content": "negative -3.", "session_id": 1780, "sequence_id": 145, "annotations": []}
{"role": "student", "content": "yeah,", "session_id": 1780, "sequence_id": 146, "annotations": []}
{"role": "volunteer", "content": "and uh", "session_id": 1780, "sequence_id": 147, "annotations": []}
{"role": "volunteer", "content": "positive 2", "session_id": 1780, "sequence_id": 148, "annotations": []}
{"role": "volunteer", "content": "So", "session_id": 1780, "sequence_id": 149, "annotations": []}
{"role": "volunteer", "content": "uh, you would basically just", "session_id": 1780, "sequence_id": 150, "annotations": []}
{"role": "volunteer", "content": "uh use those things", "session_id": 1780, "sequence_id": 151, "annotations": []}
{"role": "volunteer", "content": "to break down", "session_id": 1780, "sequence_id": 152, "annotations": []}
{"role": "volunteer", "content": "uh, like the middle term.", "session_id": 1780, "sequence_id": 153, "annotations": []}
{"role": "student", "content": "the middle", "session_id": 1780, "sequence_id": 154, "annotations": []}
{"role": "student", "content": "what do you mean by middle?", "session_id": 1780, "sequence_id": 155, "annotations": []}
{"role": "volunteer", "content": "uh, the middle term is like in, in this one.", "session_id": 1780, "sequence_id": 156, "annotations": []}
{"role": "student", "content": "Mm.", "session_id": 1780, "sequence_id": 157, "annotations": []}
{"role": "volunteer", "content": "uh in 2U2 minusu minus 3. We have 3 terms, right? So the first term is 2U2. Second term is negative u and the third one is", "session_id": 1780, "sequence_id": 158, "annotations": []}
{"role": "volunteer", "content": "-3. That's what I meant.", "session_id": 1780, "sequence_id": 159, "annotations": []}
{"role": "student", "content": "How would you", "session_id": 1780, "sequence_id": 160, "annotations": []}
{"role": "volunteer", "content": "So the middle term would be the second one.", "session_id": 1780, "sequence_id": 161, "annotations": []}
{"role": "student", "content": "um, yeah, but how would you use like -3 and +2 to right length and middle term.", "session_id": 1780, "sequence_id": 162, "annotations": []}
{"role": "volunteer", "content": "Uh-huh, yeah. So,", "session_id": 1780, "sequence_id": 163, "annotations": []}
{"role": "volunteer", "content": "uh, we know that that what's the, what's the coefficient of negative u.", "session_id": 1780, "sequence_id": 164, "annotations": []}
{"role": "student", "content": "Um", "session_id": 1780, "sequence_id": 165, "annotations": []}
{"role": "student", "content": "one", "session_id": 1780, "sequence_id": 166, "annotations": []}
{"role": "volunteer", "content": "Yeah, 1, but if it's negative u, it's going to be -1.", "session_id": 1780, "sequence_id": 167, "annotations": []}
{"role": "student", "content": "Oh yeah, I", "session_id": 1780, "sequence_id": 168, "annotations": []}
{"role": "volunteer", "content": "So, and what, what does this add up to?", "session_id": 1780, "sequence_id": 169, "annotations": []}
{"role": "student", "content": "um, negative 1", "session_id": 1780, "sequence_id": 170, "annotations": []}
{"role": "volunteer", "content": "Yeah, -1. So you see the align. So the way we would write it is we would uh break down negativeu into -3U.", "session_id": 1780, "sequence_id": 171, "annotations": []}
{"role": "volunteer", "content": "plus 2U", "session_id": 1780, "sequence_id": 172, "annotations": []}
{"role": "volunteer", "content": "and that would be equal to the negative u.", "session_id": 1780, "sequence_id": 173, "annotations": []}
{"role": "volunteer", "content": "So that's how we split it down, like, uh, yeah.", "session_id": 1780, "sequence_id": 174, "annotations": []}
{"role": "volunteer", "content": "like break it down kind of", "session_id": 1780, "sequence_id": 175, "annotations": []}
{"role": "student", "content": "So you would write like um", "session_id": 1780, "sequence_id": 176, "annotations": []}
{"role": "student", "content": "-3", "session_id": 1780, "sequence_id": 177, "annotations": []}
{"role": "student", "content": "plus.", "session_id": 1780, "sequence_id": 178, "annotations": []}
{"role": "student", "content": "2", "session_id": 1780, "sequence_id": 179, "annotations": []}
{"role": "volunteer", "content": "So, so it would be -3U plus 2U. But first, we need to uh write the other terms. So you would still write the two u squared.", "session_id": 1780, "sequence_id": 180, "annotations": []}
{"role": "volunteer", "content": "from this equation, like the", "session_id": 1780, "sequence_id": 181, "annotations": []}
{"role": "volunteer", "content": "the original", "session_id": 1780, "sequence_id": 182, "annotations": []}
{"role": "volunteer", "content": "And now you can write a -3U.", "session_id": 1780, "sequence_id": 183, "annotations": []}
{"role": "volunteer", "content": "plus", "session_id": 1780, "sequence_id": 184, "annotations": []}
{"role": "volunteer", "content": "2U", "session_id": 1780, "sequence_id": 185, "annotations": []}
{"role": "volunteer", "content": "Uh", "session_id": 1780, "sequence_id": 186, "annotations": []}
{"role": "volunteer", "content": "and then bring down the last term.", "session_id": 1780, "sequence_id": 187, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 1780, "sequence_id": 188, "annotations": []}
{"role": "volunteer", "content": "Yeah, minus 3, exactly", "session_id": 1780, "sequence_id": 189, "annotations": []}
{"role": "volunteer", "content": "You got it.", "session_id": 1780, "sequence_id": 190, "annotations": []}
{"role": "student", "content": "Uh, um", "session_id": 1780, "sequence_id": 191, "annotations": []}
{"role": "student", "content": "uh, but like, how would you", "session_id": 1780, "sequence_id": 192, "annotations": []}
{"role": "student", "content": "I don't understand how to factor it, like, um,", "session_id": 1780, "sequence_id": 193, "annotations": []}
{"role": "volunteer", "content": "After, after this form, you mean?", "session_id": 1780, "sequence_id": 194, "annotations": []}
{"role": "student", "content": "like, yeah, because, uh, since we can, we bring the two of you down and then we just have like the middle term in there we we substitute this, and then the minus 3, and then afterwards we", "session_id": 1780, "sequence_id": 195, "annotations": []}
{"role": "student", "content": "yeah, afterwards, what would we do, do we like divide it by 2 U.", "session_id": 1780, "sequence_id": 196, "annotations": []}
{"role": "volunteer", "content": "Um, so we would factor", "session_id": 1780, "sequence_id": 197, "annotations": []}
{"role": "volunteer", "content": "uh these groups separately, so it's splits", "session_id": 1780, "sequence_id": 198, "annotations": []}
{"role": "volunteer", "content": "uh this into like group one, and then you split this into like group 2.", "session_id": 1780, "sequence_id": 199, "annotations": []}
{"role": "volunteer", "content": "and we would find the GCF for each of them.", "session_id": 1780, "sequence_id": 200, "annotations": []}
{"role": "student", "content": "Oh", "session_id": 1780, "sequence_id": 201, "annotations": []}
{"role": "volunteer", "content": "So what will be the GCF for the first one, for the first group.", "session_id": 1780, "sequence_id": 202, "annotations": []}
{"role": "student", "content": "-3 and 1 and", "session_id": 1780, "sequence_id": 203, "annotations": []}
{"role": "student", "content": "or 3 and -1 and um", "session_id": 1780, "sequence_id": 204, "annotations": []}
{"role": "student", "content": "21", "session_id": 1780, "sequence_id": 205, "annotations": []}
{"role": "student", "content": "3 and 91", "session_id": 1780, "sequence_id": 206, "annotations": []}
{"role": "volunteer", "content": "Mhm", "session_id": 1780, "sequence_id": 207, "annotations": []}
{"role": "student", "content": "So then I would just write like", "session_id": 1780, "sequence_id": 208, "annotations": []}
{"role": "student", "content": "um, but don't I still need to have like the beginning number, like the 3 X from the uh well 3 squared from the left.", "session_id": 1780, "sequence_id": 209, "annotations": []}
{"role": "volunteer", "content": "Yeah, we, we will bring it down all the way at the end.", "session_id": 1780, "sequence_id": 210, "annotations": []}
{"role": "student", "content": "So then I just have like 3", "session_id": 1780, "sequence_id": 211, "annotations": []}
{"role": "student", "content": "um", "session_id": 1780, "sequence_id": 212, "annotations": []}
{"role": "student", "content": "wait, when I'm like dividing or like when I'm factoring this out, I also want to make sure that they use like add up right? so that way like when you like multiply it like", "session_id": 1780, "sequence_id": 213, "annotations": []}
{"role": "student", "content": "it becomes like you square and then like you, so.", "session_id": 1780, "sequence_id": 214, "annotations": []}
{"role": "student", "content": "I.", "session_id": 1780, "sequence_id": 215, "annotations": []}
{"role": "volunteer", "content": "Yeah, so basically you look uh like currently, just look at this first group.", "session_id": 1780, "sequence_id": 216, "annotations": []}
{"role": "volunteer", "content": "right? Uh, and you have the terms 2 U square, and you have the term -3U.", "session_id": 1780, "sequence_id": 217, "annotations": []}
{"role": "volunteer", "content": "So now think what do both of these divide by?", "session_id": 1780, "sequence_id": 218, "annotations": []}
{"role": "student", "content": "Oh no, you just you.", "session_id": 1780, "sequence_id": 219, "annotations": []}
{"role": "volunteer", "content": "Yeah, just you, so that exactly, that would be a factor for the first group.", "session_id": 1780, "sequence_id": 220, "annotations": []}
{"role": "student", "content": "So I would just write", "session_id": 1780, "sequence_id": 221, "annotations": []}
{"role": "student", "content": "30 or you", "session_id": 1780, "sequence_id": 222, "annotations": []}
{"role": "student", "content": "minus", "session_id": 1780, "sequence_id": 223, "annotations": []}
{"role": "student", "content": "3", "session_id": 1780, "sequence_id": 224, "annotations": []}
{"role": "student", "content": "or", "session_id": 1780, "sequence_id": 225, "annotations": []}
{"role": "volunteer", "content": "uh, close, but like you do, you do it similar how you do it with 3 X squared. So you'd have the u on the outside.", "session_id": 1780, "sequence_id": 226, "annotations": []}
{"role": "volunteer", "content": "Um, so like this.", "session_id": 1780, "sequence_id": 227, "annotations": []}
{"role": "volunteer", "content": "uh, or like on the outside of the parentheses, I mean.", "session_id": 1780, "sequence_id": 228, "annotations": []}
{"role": "volunteer", "content": "and then", "session_id": 1780, "sequence_id": 229, "annotations": []}
{"role": "volunteer", "content": "uh, now if you factor out the U from 2 U square, what would, what would you have remaining?", "session_id": 1780, "sequence_id": 230, "annotations": []}
{"role": "student", "content": "The 2 u minus 3.", "session_id": 1780, "sequence_id": 231, "annotations": []}
{"role": "volunteer", "content": "Yeah, exactly", "session_id": 1780, "sequence_id": 232, "annotations": []}
{"role": "volunteer", "content": "You got it.", "session_id": 1780, "sequence_id": 233, "annotations": []}
{"role": "student", "content": "And then I just write 2 you minus 3.", "session_id": 1780, "sequence_id": 234, "annotations": []}
{"role": "volunteer", "content": "Yes", "session_id": 1780, "sequence_id": 235, "annotations": []}
{"role": "student", "content": "Oh, that's", "session_id": 1780, "sequence_id": 236, "annotations": []}
{"role": "student", "content": "but wouldn't I simplify this further or?", "session_id": 1780, "sequence_id": 237, "annotations": []}
{"role": "volunteer", "content": "Uh, no, because that, that's like all the way you can uh break it down.", "session_id": 1780, "sequence_id": 238, "annotations": []}
{"role": "student", "content": "Mm, but doesn't like, um, if I do like designing method where I get like", "session_id": 1780, "sequence_id": 239, "annotations": []}
{"role": "student", "content": "uh negative 3 or.", "session_id": 1780, "sequence_id": 240, "annotations": []}
{"role": "student", "content": "3 times -1 was like.", "session_id": 1780, "sequence_id": 241, "annotations": []}
{"role": "student", "content": "like uh", "session_id": 1780, "sequence_id": 242, "annotations": []}
{"role": "student", "content": "since like", "session_id": 1780, "sequence_id": 243, "annotations": []}
{"role": "student", "content": "3 times like -1 would give me like -3, and if I add like 3 plus 1, it would give me 2. Can't I like doctor that even more.", "session_id": 1780, "sequence_id": 244, "annotations": []}
{"role": "volunteer", "content": "Mhm.", "session_id": 1780, "sequence_id": 245, "annotations": []}
{"role": "volunteer", "content": "We actually, uh, can you give me one second just to double check. I'll write it down on paper.", "session_id": 1780, "sequence_id": 246, "annotations": []}
{"role": "volunteer", "content": "OK.", "session_id": 1780, "sequence_id": 247, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 1780, "sequence_id": 248, "annotations": []}
{"role": "volunteer", "content": "All right, I wrote it down again. Are you there?", "session_id": 1780, "sequence_id": 249, "annotations": []}
{"role": "student", "content": "OK, so, um", "session_id": 1780, "sequence_id": 250, "annotations": []}
{"role": "student", "content": "what I, um", "session_id": 1780, "sequence_id": 251, "annotations": []}
{"role": "student", "content": "like back down even more where I would like.", "session_id": 1780, "sequence_id": 252, "annotations": []}
{"role": "student", "content": "since like um 3 times -1 -3 and 3 cosmeer1 equals 2.", "session_id": 1780, "sequence_id": 253, "annotations": []}
{"role": "student", "content": "OK", "session_id": 1780, "sequence_id": 254, "annotations": []}
{"role": "volunteer", "content": "Yeah, so like, I mean,", "session_id": 1780, "sequence_id": 255, "annotations": []}
{"role": "volunteer", "content": "I guess you can do it, but I, I, I figured out the way to like uh get it", "session_id": 1780, "sequence_id": 256, "annotations": []}
{"role": "volunteer", "content": "to do this one faster", "session_id": 1780, "sequence_id": 257, "annotations": []}
{"role": "volunteer", "content": "Because like, if you look at this um", "session_id": 1780, "sequence_id": 258, "annotations": []}
{"role": "volunteer", "content": "this whole thing to you square minus 3U.", "session_id": 1780, "sequence_id": 259, "annotations": []}
{"role": "volunteer", "content": "plus 2 u minus 3, we can actually just like rearrange the terms so that we have like the ones with the coefficient of 2 in the beginning, and then with the 3 in the end and then we can just like get the GCF there a lot easier, rather than like doing it in this order.", "session_id": 1780, "sequence_id": 260, "annotations": []}
{"role": "student", "content": "OK", "session_id": 1780, "sequence_id": 261, "annotations": []}
{"role": "student", "content": "uh", "session_id": 1780, "sequence_id": 262, "annotations": []}
{"role": "volunteer", "content": "Do you know what, do you know what I mean? So we would have to you squared plus 2 U.", "session_id": 1780, "sequence_id": 263, "annotations": []}
{"role": "volunteer", "content": "There you have the 3s uh", "session_id": 1780, "sequence_id": 264, "annotations": []}
{"role": "volunteer", "content": "in the end there", "session_id": 1780, "sequence_id": 265, "annotations": []}
{"role": "student", "content": "wait, no, I don't understand.", "session_id": 1780, "sequence_id": 266, "annotations": []}
{"role": "volunteer", "content": "OK, yeah, yeah, no worries. Uh,", "session_id": 1780, "sequence_id": 267, "annotations": []}
{"role": "volunteer", "content": "I'll just write it down so it's, it makes more sense. So", "session_id": 1780, "sequence_id": 268, "annotations": []}
{"role": "volunteer", "content": "if you look at this, uh,", "session_id": 1780, "sequence_id": 269, "annotations": []}
{"role": "volunteer", "content": "this uh equation", "session_id": 1780, "sequence_id": 270, "annotations": []}
{"role": "volunteer", "content": "uh, we can change the order of those terms, so we would just do", "session_id": 1780, "sequence_id": 271, "annotations": []}
{"role": "volunteer", "content": "uh to you", "session_id": 1780, "sequence_id": 272, "annotations": []}
{"role": "volunteer", "content": "plus 2 you", "session_id": 1780, "sequence_id": 273, "annotations": []}
{"role": "student", "content": "But um, you can't add them though, cause like they have a degree, so.", "session_id": 1780, "sequence_id": 274, "annotations": []}
{"role": "volunteer", "content": "Yeah, we, we, we can't add them. Uh, I just wanted to rearrange them. That way we can like split this into group one.", "session_id": 1780, "sequence_id": 275, "annotations": []}
{"role": "student", "content": "Oh", "session_id": 1780, "sequence_id": 276, "annotations": []}
{"role": "volunteer", "content": "and then uh the threes are going to be in group 2, and then we can get the GCF a lot easier.", "session_id": 1780, "sequence_id": 277, "annotations": []}
{"role": "student", "content": "E. OK, I feel", "session_id": 1780, "sequence_id": 278, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 1780, "sequence_id": 279, "annotations": []}
{"role": "volunteer", "content": "Yeah, yeah, that was kind of the idea. So what will be the next, uh, the second group.", "session_id": 1780, "sequence_id": 280, "annotations": []}
{"role": "student", "content": "It would just be uh", "session_id": 1780, "sequence_id": 281, "annotations": []}
{"role": "student", "content": "negative3U-3.", "session_id": 1780, "sequence_id": 282, "annotations": []}
{"role": "volunteer", "content": "Yeah.", "session_id": 1780, "sequence_id": 283, "annotations": []}
{"role": "student", "content": "And then afterwards I just like simplify this so it won't be.", "session_id": 1780, "sequence_id": 284, "annotations": []}
{"role": "student", "content": "too", "session_id": 1780, "sequence_id": 285, "annotations": []}
{"role": "student", "content": "more.", "session_id": 1780, "sequence_id": 286, "annotations": []}
{"role": "volunteer", "content": "over here.", "session_id": 1780, "sequence_id": 287, "annotations": []}
{"role": "volunteer", "content": "uh, to do a plus", "session_id": 1780, "sequence_id": 288, "annotations": []}
{"role": "student", "content": "Um.", "session_id": 1780, "sequence_id": 289, "annotations": []}
{"role": "student", "content": "and then um", "session_id": 1780, "sequence_id": 290, "annotations": []}
{"role": "volunteer", "content": "Well, actually, here, you can uh", "session_id": 1780, "sequence_id": 291, "annotations": []}
{"role": "volunteer", "content": "um", "session_id": 1780, "sequence_id": 292, "annotations": []}
{"role": "volunteer", "content": "do the GCF for both of them. So yeah, like you did to you.", "session_id": 1780, "sequence_id": 293, "annotations": []}
{"role": "volunteer", "content": "uh you plus one", "session_id": 1780, "sequence_id": 294, "annotations": []}
{"role": "student", "content": "and", "session_id": 1780, "sequence_id": 295, "annotations": []}
{"role": "volunteer", "content": "Yeah, that's right", "session_id": 1780, "sequence_id": 296, "annotations": []}
{"role": "volunteer", "content": "And then it will be for the second one.", "session_id": 1780, "sequence_id": 297, "annotations": []}
{"role": "student", "content": "maybe", "session_id": 1780, "sequence_id": 298, "annotations": []}
{"role": "volunteer", "content": "Can you say it again, please?", "session_id": 1780, "sequence_id": 299, "annotations": []}
{"role": "student", "content": "that negative um", "session_id": 1780, "sequence_id": 300, "annotations": []}
{"role": "student", "content": "what do you? Thank you. Uh, -3", "session_id": 1780, "sequence_id": 301, "annotations": []}
{"role": "volunteer", "content": "Yes", "session_id": 1780, "sequence_id": 302, "annotations": []}
{"role": "student", "content": "5 U", "session_id": 1780, "sequence_id": 303, "annotations": []}
{"role": "student", "content": "uh", "session_id": 1780, "sequence_id": 304, "annotations": []}
{"role": "student", "content": "plus one, right?", "session_id": 1780, "sequence_id": 305, "annotations": []}
{"role": "volunteer", "content": "Yup", "session_id": 1780, "sequence_id": 306, "annotations": []}
{"role": "volunteer", "content": "because, uh, 3 times + 1 is gonna be -3. So yeah, you got it.", "session_id": 1780, "sequence_id": 307, "annotations": []}
{"role": "student", "content": "And then how would um I include the 3 X squared. And wait, would I still have the plus sign over here like in in between them both.", "session_id": 1780, "sequence_id": 308, "annotations": []}
{"role": "student", "content": "right?", "session_id": 1780, "sequence_id": 309, "annotations": []}
{"role": "volunteer", "content": "Uh, because, uh,", "session_id": 1780, "sequence_id": 310, "annotations": []}
{"role": "volunteer", "content": "we didn't have them as like mul multiplied. We had them written down with the plus here as well.", "session_id": 1780, "sequence_id": 311, "annotations": []}
{"role": "student", "content": "Mm", "session_id": 1780, "sequence_id": 312, "annotations": []}
{"role": "volunteer", "content": "Yeah, so, so you would, uh, still have the plus sign.", "session_id": 1780, "sequence_id": 313, "annotations": []}
{"role": "volunteer", "content": "And now, as you can see,", "session_id": 1780, "sequence_id": 314, "annotations": []}
{"role": "volunteer", "content": "uh this parentheses and this parentheses have the same thing inside.", "session_id": 1780, "sequence_id": 315, "annotations": []}
{"role": "student", "content": "00 yeah, you're right. So then I would do 2 U.", "session_id": 1780, "sequence_id": 316, "annotations": []}
{"role": "student", "content": "+ 3 as one of the parentheses, and then the other one would be one.", "session_id": 1780, "sequence_id": 317, "annotations": []}
{"role": "volunteer", "content": "Yes, exactly", "session_id": 1780, "sequence_id": 318, "annotations": []}
{"role": "student", "content": "And then I would have the 3 X.", "session_id": 1780, "sequence_id": 319, "annotations": []}
{"role": "student", "content": "uh square on the.", "session_id": 1780, "sequence_id": 320, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 1780, "sequence_id": 321, "annotations": []}
{"role": "volunteer", "content": "But the the the other thing is that don't forget that here it's not a plus anymore because here you have -3.", "session_id": 1780, "sequence_id": 322, "annotations": []}
{"role": "student", "content": "Oh no, you're right", "session_id": 1780, "sequence_id": 323, "annotations": []}
{"role": "volunteer", "content": "Yeah.", "session_id": 1780, "sequence_id": 324, "annotations": []}
{"role": "volunteer", "content": "And then uh the last thing you'd have to do after that.", "session_id": 1780, "sequence_id": 325, "annotations": []}
{"role": "volunteer", "content": "is uh plug in x squared back into U.", "session_id": 1780, "sequence_id": 326, "annotations": []}
{"role": "student", "content": "Oh yeah, cause I had to change it to.", "session_id": 1780, "sequence_id": 327, "annotations": []}
{"role": "volunteer", "content": "Yep.", "session_id": 1780, "sequence_id": 328, "annotations": []}
{"role": "student", "content": "Oh, so then when I change it, it would um", "session_id": 1780, "sequence_id": 329, "annotations": []}
{"role": "student", "content": "since U equals x squared.", "session_id": 1780, "sequence_id": 330, "annotations": []}
{"role": "student", "content": "it would just be x squared for both of them, right? Yeah.", "session_id": 1780, "sequence_id": 331, "annotations": []}
{"role": "volunteer", "content": "Yes", "session_id": 1780, "sequence_id": 332, "annotations": []}
{"role": "student", "content": "OK", "session_id": 1780, "sequence_id": 333, "annotations": []}
{"role": "student", "content": "Uh, this would be the final answer.", "session_id": 1780, "sequence_id": 334, "annotations": []}
{"role": "volunteer", "content": "Yes, and uh that would be your final answer. 3 x squared plus times 2x2 minus 3 times x^2 + 1.", "session_id": 1780, "sequence_id": 335, "annotations": []}
{"role": "student", "content": "OK. Thank you", "session_id": 1780, "sequence_id": 336, "annotations": []}
{"role": "volunteer", "content": "Yeah, you got it. Good job", "session_id": 1780, "sequence_id": 337, "annotations": []}
{"role": "student", "content": "Yeah, thank you so much. I was like that this really helped. I was so confused before I was like", "session_id": 1780, "sequence_id": 338, "annotations": []}
{"role": "student", "content": "I.", "session_id": 1780, "sequence_id": 339, "annotations": []}
{"role": "student", "content": "Yeah, and", "session_id": 1780, "sequence_id": 340, "annotations": []}
{"role": "volunteer", "content": "Yeah, no worries. Hope hopefully it makes sense now how like you is helpful, uh, because if you had it as like x squared, it would be very uh.", "session_id": 1780, "sequence_id": 341, "annotations": []}
{"role": "student", "content": "challenging you.", "session_id": 1780, "sequence_id": 342, "annotations": []}
{"role": "volunteer", "content": "yeah, very challenging", "session_id": 1780, "sequence_id": 343, "annotations": []}
{"role": "volunteer", "content": "Exactly", "session_id": 1780, "sequence_id": 344, "annotations": []}
{"role": "student", "content": "because I was like looking in um like Google also recommended like you, but I didn't understand what like he was because you didn't like go over that well. I was like learning it. So like we just did it like a different way. I think we just did it with like David and I was like wait.", "session_id": 1780, "sequence_id": 345, "annotations": [{"pii_type": "PERSON", "surrogate": "David", "start": 258, "end": 263}]}
{"role": "student", "content": "OK.", "session_id": 1780, "sequence_id": 346, "annotations": []}
{"role": "volunteer", "content": "Yeah, I mean there are definitely other ways to do it. This is just like my preferred way and I think it, it kind of makes sense.", "session_id": 1780, "sequence_id": 347, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 1780, "sequence_id": 348, "annotations": []}
{"role": "volunteer", "content": "Uh, that's why I've been, uh, kind of suggesting it.", "session_id": 1780, "sequence_id": 349, "annotations": []}
{"role": "student", "content": "Yeah, it does", "session_id": 1780, "sequence_id": 350, "annotations": []}
{"role": "volunteer", "content": "But yeah, I mean, whichever way works for you, obviously.", "session_id": 1780, "sequence_id": 351, "annotations": []}
{"role": "volunteer", "content": "Mhm.", "session_id": 1780, "sequence_id": 352, "annotations": []}
{"role": "student", "content": "Yeah, I, it really makes sense. Thank you. Yeah, this like this like a lot.", "session_id": 1780, "sequence_id": 353, "annotations": []}
{"role": "student", "content": "Thank you", "session_id": 1780, "sequence_id": 354, "annotations": []}
{"role": "volunteer", "content": "Of course, yeah. Uh, let me know if you have any other questions or, uh, we can end the session", "session_id": 1780, "sequence_id": 355, "annotations": []}
{"role": "volunteer", "content": "if that's, if that was it", "session_id": 1780, "sequence_id": 356, "annotations": []}
{"role": "student", "content": "Yeah, I think we can end the session. Thank you so much.", "session_id": 1780, "sequence_id": 357, "annotations": []}
{"role": "volunteer", "content": "All right", "session_id": 1780, "sequence_id": 358, "annotations": []}
{"role": "volunteer", "content": "See you", "session_id": 1780, "sequence_id": 359, "annotations": []}
{"role": "student", "content": "Have a good day", "session_id": 1780, "sequence_id": 360, "annotations": []}
{"role": "volunteer", "content": "Bye.", "session_id": 1780, "sequence_id": 361, "annotations": []}
{"role": "student", "content": "You too", "session_id": 1780, "sequence_id": 362, "annotations": []}
{"role": "volunteer", "content": "You too.", "session_id": 1780, "sequence_id": 363, "annotations": []}
{"role": "student", "content": "Hi Daniel I need help with a couple problems please", "session_id": 2090, "sequence_id": 0, "annotations": [{"pii_type": "PERSON", "surrogate": "Daniel", "start": 3, "end": 9}]}
{"role": "volunteer", "content": "absolutely! Do you think you could screenshot them and put them on the whiteboard for me?", "session_id": 2090, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "6, 10, and 11 please", "session_id": 2090, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "sounds good. let's start with six", "session_id": 2090, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "so the first thing we want to do is make sure we put all the info we have in this diagram", "session_id": 2090, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "if angle ACB is a right angle can you mark what that means on the diagram?", "session_id": 2090, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "close! can you mark specifically what it means that the angle is a right angle?", "session_id": 2090, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "yes nice job. Ok so we know that it's an isosceles triangle also so now let's go through the answer choices and see which ones are right or wrong", "session_id": 2090, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "can choice a be true?", "session_id": 2090, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "no", "session_id": 2090, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "what about b", "session_id": 2090, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "yes?", "session_id": 2090, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "it could be true, but we don't know for sure so in this case that means it can't be the answer", "session_id": 2090, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "what about c?", "session_id": 2090, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "no", "session_id": 2090, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "the answer is actually c", "session_id": 2090, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "The reason is because of something special about isosceles triangles", "session_id": 2090, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "since AC makes a right angle with the base, it has a special name. Do you know what it's called?", "session_id": 2090, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "im not sure", "session_id": 2090, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "it's an altitude. The thing about isosceles triangles is that because the two sides are equal, there's only one line that can be an altitude, and that line is the perpendicular bisector. Not only does the perpendicular bisector make a right angle, it also splits the top angle (BAD in this case) in half and splits the base in half as well", "session_id": 2090, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "so because AC is an altitude, C is also the midpoint of BD, meaning CB and DC have the same length", "session_id": 2090, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "got it", "session_id": 2090, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "ok then let's move onto 10", "session_id": 2090, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "so again the first thing you want to do is mark the diagram with the information given", "session_id": 2090, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "great. So for this problem, there's a property of rectangles that would be super helpful to remember", "session_id": 2090, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "what do you think it might be?", "session_id": 2090, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "mp=on", "session_id": 2090, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "yes exactly", "session_id": 2090, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "0.3x=x-21", "session_id": 2090, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "mhm", "session_id": 2090, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "21=x-0.3x", "session_id": 2090, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "21=0.7x", "session_id": 2090, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "x=21/0.7", "session_id": 2090, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "x=30", "session_id": 2090, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "is this ok so far", "session_id": 2090, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "Mhm! \\", "session_id": 2090, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "just one more thing to remember. What does the problem ask for?", "session_id": 2090, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "mp=0.3x", "session_id": 2090, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "mp=0.3(30)", "session_id": 2090, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "+9", "session_id": 2090, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "mp=9", "session_id": 2090, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "yep! Nice job", "session_id": 2090, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "yayy", "session_id": 2090, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "for 11 I have no idea", "session_id": 2090, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "ok so remember what our goal is with these. Mark up the diagram, then try to start eliminating answers", "session_id": 2090, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "okayyyy", "session_id": 2090, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "c?", "session_id": 2090, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "yes but I'm not sure how you got that", "session_id": 2090, "sequence_id": 47, "annotations": []}
{"role": "student", "content": "for me that one didn't make sense", "session_id": 2090, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "like it didn't look true", "session_id": 2090, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "ok. good intuition but that's not always going to work. let's try this with process of elimination", "session_id": 2090, "sequence_id": 50, "annotations": []}
{"role": "student", "content": "you're right", "session_id": 2090, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "okay", "session_id": 2090, "sequence_id": 52, "annotations": []}
{"role": "student", "content": "so D is true", "session_id": 2090, "sequence_id": 53, "annotations": []}
{"role": "student", "content": "ik that", "session_id": 2090, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "mhm", "session_id": 2090, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "what about a?", "session_id": 2090, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "OM and OA are a special kind of line in the circle, what kind of line are they?", "session_id": 2090, "sequence_id": 57, "annotations": []}
{"role": "student", "content": "radii", "session_id": 2090, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "yes! and what do we know about all radii", "session_id": 2090, "sequence_id": 59, "annotations": []}
{"role": "student", "content": "congruent", "session_id": 2090, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "right. So then OAM is an isosceles triangle, and angle OAM and OMP are base angles of an isosceles triangle. What does that mean about them?", "session_id": 2090, "sequence_id": 61, "annotations": []}
{"role": "student", "content": "corresponding angles", "session_id": 2090, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "they're base angles of an isosceles triangle. That means they''re congurent!", "session_id": 2090, "sequence_id": 63, "annotations": []}
{"role": "student", "content": "oh ok", "session_id": 2090, "sequence_id": 64, "annotations": []}
{"role": "student", "content": "that makes sense", "session_id": 2090, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "why is b not the answer?", "session_id": 2090, "sequence_id": 66, "annotations": []}
{"role": "student", "content": "they are congruent", "session_id": 2090, "sequence_id": 67, "annotations": []}
{"role": "student", "content": "arcs", "session_id": 2090, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "yes, so that leaves you with c as the final answer. Any other questions?", "session_id": 2090, "sequence_id": 69, "annotations": []}
{"role": "student", "content": "I have 3 more is that fine", "session_id": 2090, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "sure", "session_id": 2090, "sequence_id": 71, "annotations": []}
{"role": "student", "content": "ok thanks one second", "session_id": 2090, "sequence_id": 72, "annotations": []}
{"role": "student", "content": "is this A", "session_id": 2090, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "yes! can you explain why?", "session_id": 2090, "sequence_id": 74, "annotations": []}
{"role": "student", "content": "the line AB is in plane k and passes through D", "session_id": 2090, "sequence_id": 75, "annotations": []}
{"role": "student", "content": "BD is also in plane k", "session_id": 2090, "sequence_id": 76, "annotations": []}
{"role": "student", "content": "and passes through d", "session_id": 2090, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "wait hold on", "session_id": 2090, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "the answer is d", "session_id": 2090, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "because a line is perpendicular to a plane if it\u2019s perpendicular to two intersecting lines in that plane through the point of intersection", "session_id": 2090, "sequence_id": 80, "annotations": []}
{"role": "student", "content": "oh really", "session_id": 2090, "sequence_id": 81, "annotations": []}
{"role": "volunteer", "content": "we already know ad and dc are perpendicular", "session_id": 2090, "sequence_id": 82, "annotations": []}
{"role": "volunteer", "content": "so ADC is a right angle", "session_id": 2090, "sequence_id": 83, "annotations": []}
{"role": "volunteer", "content": "and so if DAB and DAC are similar, then ADB and ADC are congruent. That means AD and BD are also congruent, and AD has to be perpendicular to k", "session_id": 2090, "sequence_id": 84, "annotations": []}
{"role": "volunteer", "content": "does that make sense?", "session_id": 2090, "sequence_id": 85, "annotations": []}
{"role": "student", "content": "yes it does", "session_id": 2090, "sequence_id": 86, "annotations": []}
{"role": "volunteer", "content": "nice", "session_id": 2090, "sequence_id": 87, "annotations": []}
{"role": "student", "content": "thanks", "session_id": 2090, "sequence_id": 88, "annotations": []}
{"role": "volunteer", "content": "ok so with number 1 what does that weird notation mean", "session_id": 2090, "sequence_id": 89, "annotations": []}
{"role": "student", "content": "intersection of B and C", "session_id": 2090, "sequence_id": 90, "annotations": []}
{"role": "volunteer", "content": "yeah so the answer is A nice job", "session_id": 2090, "sequence_id": 91, "annotations": []}
{"role": "student", "content": "great", "session_id": 2090, "sequence_id": 92, "annotations": []}
{"role": "volunteer", "content": "so for 4 what are we trying to find here", "session_id": 2090, "sequence_id": 93, "annotations": []}
{"role": "student", "content": "the inequality", "session_id": 2090, "sequence_id": 94, "annotations": []}
{"role": "volunteer", "content": "right, but like what specifically? What is the reason for there being an open dot and a closed dot", "session_id": 2090, "sequence_id": 95, "annotations": []}
{"role": "student", "content": "open circle x=-4", "session_id": 2090, "sequence_id": 96, "annotations": []}
{"role": "student", "content": "closed circle x=-2", "session_id": 2090, "sequence_id": 97, "annotations": []}
{"role": "volunteer", "content": "right, what does that open circle represent?", "session_id": 2090, "sequence_id": 98, "annotations": []}
{"role": "volunteer", "content": "and be careful is the closed circle x = -2?", "session_id": 2090, "sequence_id": 99, "annotations": []}
{"role": "student", "content": "cannot equal -4", "session_id": 2090, "sequence_id": 100, "annotations": []}
{"role": "student", "content": "2.5", "session_id": 2090, "sequence_id": 101, "annotations": []}
{"role": "volunteer", "content": "mhm. What does it mean if the inequality can't have x = -4?", "session_id": 2090, "sequence_id": 102, "annotations": []}
{"role": "student", "content": "-2.5", "session_id": 2090, "sequence_id": 103, "annotations": []}
{"role": "student", "content": "x<-4", "session_id": 2090, "sequence_id": 104, "annotations": []}
{"role": "volunteer", "content": "well what does it specifically mean that x cannot be -4? remember what happens if you divide by 0", "session_id": 2090, "sequence_id": 105, "annotations": []}
{"role": "student", "content": "undefined", "session_id": 2090, "sequence_id": 106, "annotations": []}
{"role": "volunteer", "content": "mhm. so the inequality is undefined when x = -4, because of the closed circle. Which answers is that true for?", "session_id": 2090, "sequence_id": 107, "annotations": []}
{"role": "student", "content": "NONE", "session_id": 2090, "sequence_id": 108, "annotations": []}
{"role": "student", "content": "?", "session_id": 2090, "sequence_id": 109, "annotations": []}
{"role": "volunteer", "content": "try plugging in x = 4 for a and b", "session_id": 2090, "sequence_id": 110, "annotations": []}
{"role": "student", "content": "ok", "session_id": 2090, "sequence_id": 111, "annotations": []}
{"role": "volunteer", "content": "w'hat happens when you plug in x = -4", "session_id": 2090, "sequence_id": 112, "annotations": []}
{"role": "student", "content": "b", "session_id": 2090, "sequence_id": 113, "annotations": []}
{"role": "student", "content": "is the answer", "session_id": 2090, "sequence_id": 114, "annotations": []}
{"role": "volunteer", "content": "yeah nice job today Chloe", "session_id": 2090, "sequence_id": 115, "annotations": [{"pii_type": "PERSON", "surrogate": "Chloe", "start": 20, "end": 25}]}
{"role": "volunteer", "content": "good luck with your classes", "session_id": 2090, "sequence_id": 116, "annotations": []}
{"role": "student", "content": "thank you so much I really appreciate it", "session_id": 2090, "sequence_id": 117, "annotations": []}
{"role": "student", "content": "byee", "session_id": 2090, "sequence_id": 118, "annotations": []}
{"role": "volunteer", "content": "Hey! How can I help you?", "session_id": 2107, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "Hi I need some help with a couple of questions ", "session_id": 2107, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "For sure! Can you paste a picture of the problem/write it out onto the board? We can work through them together", "session_id": 2107, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "Ok perfect! Do you want to start with 11?", "session_id": 2107, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "Yes please", "session_id": 2107, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "Alright! Ok, so just looking at the question - we're looking for the number of squares in the 5th step of the pattern. The first thing we can do is figure out what the pattern is. Can you try to describe it for me?", "session_id": 2107, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "Also, if you have any questions about anything or are unsure of an answer, that's totally fine - no big deal and just let me know. it's just even if you give it a guess, we can work from that lol to make it make sense", "session_id": 2107, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "So I think that it\u2019s basically like 1 to the power of 2 and like 2 to the power of 2 and etc", "session_id": 2107, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "Yes, exactly!", "session_id": 2107, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "So using that, can you figure out how many squares are in the fifth step?", "session_id": 2107, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "I think it\u2019s 25 squares", "session_id": 2107, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "yes, you got it!", "session_id": 2107, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "any questions with that, or do you want to move onto the next one?", "session_id": 2107, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "Umm I get it, could we maybe move onto number 13", "session_id": 2107, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "yeah for sure.", "session_id": 2107, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "ok, so we know we have to find FG and we're given a lot of information here about a line and some points on it. for a problem like this (and many geometry problems), it helps to draw a diagram using the info they give to figure out what to do next. can you draw one for this problem?", "session_id": 2107, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "and if you're unsure, that's fine", "session_id": 2107, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "Like that??", "session_id": 2107, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "Yes, that's good! So you got the line segments labeled. is that all the info they gave, or is there anything else we can add here?", "session_id": 2107, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "That good?", "session_id": 2107, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "ok awesome, that's perfect. so they're asking us to find FG. any ideas on how we might be able to do that, given what we have by looking at this diagram?", "session_id": 2107, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "Subtract 2 from 14", "session_id": 2107, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "yes!", "session_id": 2107, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "so FG would be 12", "session_id": 2107, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "any questions there or did that all make sense and we can move on", "session_id": 2107, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "That made sense ", "session_id": 2107, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "Could we do 14 now??", "session_id": 2107, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "yup!", "session_id": 2107, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "this one can def be tricky. i always like to start by looking at what I know and thinking about what I need to find, and then using all that to figure out what's missing to get to my answer.", "session_id": 2107, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "so for this one, they're asking us to find the equation of a line and giving as a point and a slope.", "session_id": 2107, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "what's the general form for the equation of a line?", "session_id": 2107, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "Y-(-5)=-2 (x-(-4))", "session_id": 2107, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "yes!", "session_id": 2107, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "ok so usually they want this in the form y = mx + b, so assuming that's what we need to do, the second part is just rearranging what you wrote into that form", "session_id": 2107, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "can you expand this so we have something like that?", "session_id": 2107, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "Umm I don\u2019t really know what you mean could you possibly walk me through step by step? ", "session_id": 2107, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "yes for sure!!", "session_id": 2107, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "ok so let me write out on the whiteboard what you just told me so we can start there", "session_id": 2107, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "alright, so what you have right now is totally fine in point slope form. but usually the equation of the line looks like y = mx + b, so we should probably rearrange this equation to match that.", "session_id": 2107, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "the first step is just getting rid of the double negative to make it look a bit better, so i'll start with that and then you let me know if that makes sense so far", "session_id": 2107, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "Ok", "session_id": 2107, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "is that good? or any questions", "session_id": 2107, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "I understand ", "session_id": 2107, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "alright perfect. so next, we see on the right we have -2(x+4). to do y = mx + b, we don't want to have the parentheses, so we need to distribute.", "session_id": 2107, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "let's leave the left side alone for now though", "session_id": 2107, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "Ok", "session_id": 2107, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "ok, can you try expanding the right side?", "session_id": 2107, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "perfect", "session_id": 2107, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "ok and then the last step is we want y to be isolated on the left side.", "session_id": 2107, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "can you do that and write it out?", "session_id": 2107, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "perfect!! and that's your answer!", "session_id": 2107, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "any questions on this one? if not did you want to solve any other problems?", "session_id": 2107, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "I understand it thanks, could you help me with the number 6 question in the image I just attached?", "session_id": 2107, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "yes! ok, so they're asking you to prove the lines are parallel. that's a pretty big statement. do you know/have a guess as to how you should prove this? like what property should be satisfied for these two lines that proves they're parallel?\nhint: they've given you angle measurements for a reason. is there a property about angle measurements for parallel lines?", "session_id": 2107, "sequence_id": 53, "annotations": []}
{"role": "student", "content": "Do I need to add something maybe the 2 degrees??", "session_id": 2107, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "not quite, but good guess. have you learned about corresponding angles/alternate interior angles/alternate exterior angles?", "session_id": 2107, "sequence_id": 55, "annotations": []}
{"role": "student", "content": "Yeah I have", "session_id": 2107, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "ok. so with the setup you have here, there are lines that are being intersected by a third. there is a theorem that basically states that if those two lines have equal corresponding angles or equal alt interior/exterior angles, they are congruent.", "session_id": 2107, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "does that make sense?", "session_id": 2107, "sequence_id": 58, "annotations": []}
{"role": "student", "content": "Yea", "session_id": 2107, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "alr great. so maybe we can do the corresponding angles one, it'll be easiest. can you show me a set of corresponding angles on this diagram?", "session_id": 2107, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "like i just drew an angle in red, can you do the corresponding angle for that", "session_id": 2107, "sequence_id": 61, "annotations": []}
{"role": "student", "content": "Like that", "session_id": 2107, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "awesome!", "session_id": 2107, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "so we know the black one is 45 degrees since they told us that already.", "session_id": 2107, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "how can we calculate the red angle?", "session_id": 2107, "sequence_id": 65, "annotations": []}
{"role": "student", "content": "Maybe by subtracting 45 degrees 180 degrees", "session_id": 2107, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "very close! so you're totally right about 180 degrees - we do need to subtract something from it. but if we're trying to calculate the red angle, and you know the whole line is 180 degrees, we should subtract 135 from it to figure out the red measure, right?", "session_id": 2107, "sequence_id": 67, "annotations": []}
{"role": "student", "content": "Ohhh yeah I understand it thanks for explaining ", "session_id": 2107, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "np!", "session_id": 2107, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "ok so with that youd find that the red angle is 45 and with 2 congruent angles you have now proven a and b are parallel", "session_id": 2107, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "i unfortunately do have to go now, but if you need more help please feel free to request another tutor! you're pretty spot on with your intuition, be confident in your work :) you got this", "session_id": 2107, "sequence_id": 71, "annotations": []}
{"role": "student", "content": "Ok bye thanks for the help!! :)", "session_id": 2107, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "no problem!", "session_id": 2107, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "have a great rest of your day!", "session_id": 2107, "sequence_id": 74, "annotations": []}
{"role": "student", "content": "Hello", "session_id": 2350, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "Hello!", "session_id": 2350, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "I need help with this concept", "session_id": 2350, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "Could we use voice chat because it helps me understand better", "session_id": 2350, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "Sure one second!", "session_id": 2350, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "Let me read first!", "session_id": 2350, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "Alright", "session_id": 2350, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "Ah Ok I get it", "session_id": 2350, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "do you have questions to work with this concept", "session_id": 2350, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "Yes but first I want to understand", "session_id": 2350, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "Ok sure I will explain let me turn on my mic one second", "session_id": 2350, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "Uh hello, can you hear me?", "session_id": 2350, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "Yeah, I can hear you.", "session_id": 2350, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "Oh, wait, let me turn on speaker.", "session_id": 2350, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "OK, OK, great. So, OK, this is just about slope. OK. So, OK, there are many everyday steps that have a special meaning in mathematics. I'm just gonna read it and then explain each sentence in a simpler way because this one is like um they overcomplicated it, so I'm just gonna simplify it, OK?", "session_id": 2350, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "OK", "session_id": 2350, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "OK. So let's see. Um, there are many everyday terms, blah, blah blah. OK, OK. So when they, you know, OK, I'm gonna draw a little mountain. When they say a mountain is steep, where there are really saying is like, do you know what the word steep is or not?", "session_id": 2350, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "Like deep", "session_id": 2350, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "like something that's", "session_id": 2350, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "No", "session_id": 2350, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "No.", "session_id": 2350, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "going down or", "session_id": 2350, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "No, not, not exactly, but OK, something that's steep is uh look, something that's steep is", "session_id": 2350, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "so I drew a little marker. Imagine this is a hill. See how this is hard to climb like do if I were like if I'm, uh, let's say, um, I drew, there's a little guy down here trying to climb it. It'll be difficult to climb cause it's very steep, but something that's not steep would be this, like anybody could climb this, anybody could climb the mountain. So I'm just gonna draw something.", "session_id": 2350, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "The mountain in pink is not steep. The mountain is green, uh, yeah, the mountain in green is steep, OK? Do you get it?", "session_id": 2350, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 2350, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 2350, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "So now", "session_id": 2350, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "it says a person is a um.", "session_id": 2350, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "OK, so they, they, um,", "session_id": 2350, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "oh, and one last thing, a steep could go both ways. So look, I want you to tell me which one is more steep. This is, um, it's the same thing, except the hill is going down, but it's still the same thing. So let's say I draw a hill like this. This one is steep, uh, and then wait, OK. So yeah, out of these two, which one is more steep?", "session_id": 2350, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "Um, the one that's going up.", "session_id": 2350, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "this one.", "session_id": 2350, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "Uh, wait, which one? Just like the left or the right?", "session_id": 2350, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "this one, right", "session_id": 2350, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "this", "session_id": 2350, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "Yeah, mhm. It's, even though it's going down, it's still steep cause imagine I'm trying to climb in from the right. It'll still be steep. OK. So that's what they're saying. So here,", "session_id": 2350, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "when they say, hey, consider the word steepness in the fourth line, that, that's all they're saying it because Sarah is kind of related to slope, OK.", "session_id": 2350, "sequence_id": 37, "annotations": [{"pii_type": "PERSON", "surrogate": "Sarah", "start": 111, "end": 116}]}
{"role": "volunteer", "content": "So, now, a person is at either position A or position B. OK. But, OK, this is a lot of blur, but here they say, I position A, whoa, they say at position A, the climb is definitely steeper than the one at B.", "session_id": 2350, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "Um, that's actually not the best example, but.", "session_id": 2350, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "I mean, yeah, so I'm gonna show you something. Which one is more steep? From", "session_id": 2350, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "G from going from G to uh going from", "session_id": 2350, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "actually, yeah, which one is more steep? Going from B to C.", "session_id": 2350, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "or from A to B. Which one is more steep?", "session_id": 2350, "sequence_id": 43, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 2350, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "I recommend you draw the lines out and see, but yeah, which one is.", "session_id": 2350, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 2350, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "and like that", "session_id": 2350, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "Oh wait, what do you got? One second.", "session_id": 2350, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "Yeah.", "session_id": 2350, "sequence_id": 49, "annotations": []}
{"role": "student", "content": "It's A2B Max", "session_id": 2350, "sequence_id": 50, "annotations": [{"pii_type": "PERSON", "surrogate": "Max", "start": 9, "end": 12}]}
{"role": "volunteer", "content": "Yeah. Well, which one, which one is more steep? The B to C, or A to B?", "session_id": 2350, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "B", "session_id": 2350, "sequence_id": 52, "annotations": []}
{"role": "student", "content": "B2C", "session_id": 2350, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "Very good. OK. So now you got", "session_id": 2350, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "right", "session_id": 2350, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "So that's uh, that's honestly, it's not very important, but your work or your like, um, I guess course wanted you to cover what it means to be steep. So I guess", "session_id": 2350, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "um, OK, sure. Now", "session_id": 2350, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "uh, uh, uh, I'm gonna keep reading on the other hand, the sweetness of the line is the same.", "session_id": 2350, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "OK, so when they say the steepness of the line", "session_id": 2350, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "it is this pretty much, it's the same thing as the slope of the line, OK? So look", "session_id": 2350, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "OK, the slope of one, so, uh, I'm gonna draw something. OK.", "session_id": 2350, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "Look at what I'm drawing in blue, so.", "session_id": 2350, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "I'm gonna draw something in blue.", "session_id": 2350, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "OK, this is the XY, this is just a simple XY plan. So, uh, when you're drawing a line, I'm gonna put in black enough. When you're drawing a line, sometimes you will see lines like these. This is, um, they call it, see how this is pretty steep. They, it's like steep with uh, they call it slope, OK, steep.", "session_id": 2350, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "kind of equal slope according to your course. I'll just teach you as your courses. Uh, steepness equals a slope, right? So this is the entire idea of um steness, so when you see a line on the XY plane, it's Steveness, the number of Steveness is this low. So now I'm gonna teach you how to calculate it's um steepness, so look.", "session_id": 2350, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "it says right here, in the adjacent diagram. So when they say adjacent, it means next to. So in the diagram, next to the test, next to the text that I circled in blue", "session_id": 2350, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "So, uh I circled in black, OK.", "session_id": 2350, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "So, and the adjacent diagram, meaning the diagram right next to.", "session_id": 2350, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "Um, to move from A to B, which they plot out, so A to B, a horizontal displacement of two units in a verse.", "session_id": 2350, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "OK, so this is they actually taught it like extremely", "session_id": 2350, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "bad, but I, OK, I'll teach you how to do it. I'm gonna draw the exact line, give me", "session_id": 2350, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "uh, give me one moment. Um, I'm gonna share a screen in just a second. So,", "session_id": 2350, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "let me see. This is definitely Y equals to x + 1. OK", "session_id": 2350, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 2350, "sequence_id": 74, "annotations": []}
{"role": "volunteer", "content": "Now, I'm gonna grab this. OK.", "session_id": 2350, "sequence_id": 75, "annotations": []}
{"role": "student", "content": "hope of the non-vertical line.", "session_id": 2350, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "Uh, sorry, repeat that?", "session_id": 2350, "sequence_id": 77, "annotations": []}
{"role": "student", "content": "It says slope of a non-vertical line.", "session_id": 2350, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "Oh, I, I'll put that in a second once, uh, I'm just pulling up a screenshot, but it said, well, where, it's a slope of a non-vertical line.", "session_id": 2350, "sequence_id": 79, "annotations": []}
{"role": "student", "content": "Yeah, what does that", "session_id": 2350, "sequence_id": 80, "annotations": []}
{"role": "volunteer", "content": "Um", "session_id": 2350, "sequence_id": 81, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 2350, "sequence_id": 82, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 2350, "sequence_id": 83, "annotations": []}
{"role": "volunteer", "content": "slope of a non-vertical line. Oh, sorry. Oh, that all that means is, oh shoot. So what it means for something to be vertical, vertical is this, and when a line is directly up. Horizonts is when something's like this. When it says non-vertical, it's basically sent any time the line is not straight, uh, strictly up, right? So it could be like this, it could be like this, it could be like this. As long as it's", "session_id": 2350, "sequence_id": 84, "annotations": []}
{"role": "volunteer", "content": "not directly up, OK?", "session_id": 2350, "sequence_id": 85, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 2350, "sequence_id": 86, "annotations": []}
{"role": "volunteer", "content": "OK. So that's what non-vertical. Vertical is directly up, non-vertical, anything but directly up. OK, so in the, in the diagram, when I was talking about A and B.", "session_id": 2350, "sequence_id": 87, "annotations": []}
{"role": "volunteer", "content": "I drew the exact line. I have a program to draw the exact line. It's called desmos. So I drew the exact line just so I can make it bigger.", "session_id": 2350, "sequence_id": 88, "annotations": []}
{"role": "volunteer", "content": "So here's how you would do it. Uh, you know what, I'm", "session_id": 2350, "sequence_id": 89, "annotations": []}
{"role": "volunteer", "content": "um, maybe I can, I need you to think. How would I do this? OK.", "session_id": 2350, "sequence_id": 90, "annotations": []}
{"role": "volunteer", "content": "I'm gonna do another screenshot.", "session_id": 2350, "sequence_id": 91, "annotations": []}
{"role": "volunteer", "content": "OK. Now, I, I got it. I'm actually gonna put in a new screenshot that way you can best understand. OK, so I'm now I'm gonna teach you how to calculate a slope of a line, so", "session_id": 2350, "sequence_id": 92, "annotations": []}
{"role": "volunteer", "content": "check the new image I uh checked the new image I just pasted. So", "session_id": 2350, "sequence_id": 93, "annotations": []}
{"role": "volunteer", "content": "this", "session_id": 2350, "sequence_id": 94, "annotations": []}
{"role": "volunteer", "content": "uh, see, the things in, I'm gonna put it in green. OK. So the thing I circled in green", "session_id": 2350, "sequence_id": 95, "annotations": []}
{"role": "volunteer", "content": "and the fungi also circled in green are the exact same line, OK? There's the exact one, right?", "session_id": 2350, "sequence_id": 96, "annotations": []}
{"role": "volunteer", "content": "So", "session_id": 2350, "sequence_id": 97, "annotations": []}
{"role": "volunteer", "content": "with", "session_id": 2350, "sequence_id": 98, "annotations": []}
{"role": "volunteer", "content": "how you would calculate the slope of the line. So first,", "session_id": 2350, "sequence_id": 99, "annotations": []}
{"role": "volunteer", "content": "they overcomplicated it, but you would take 2 points on any line. So look.", "session_id": 2350, "sequence_id": 100, "annotations": []}
{"role": "volunteer", "content": "see how in the graph I drew, so, uh, you see there's these little boxes, right? These little boxes and I circled in green, oh shoot", "session_id": 2350, "sequence_id": 101, "annotations": []}
{"role": "volunteer", "content": "I, I boxed in green. So see these little boxes?", "session_id": 2350, "sequence_id": 102, "annotations": []}
{"role": "volunteer", "content": "I'm kind of bad at tracing them, but you see these little boxes?", "session_id": 2350, "sequence_id": 103, "annotations": []}
{"role": "student", "content": "Oh", "session_id": 2350, "sequence_id": 104, "annotations": []}
{"role": "student", "content": "Yeah.", "session_id": 2350, "sequence_id": 105, "annotations": []}
{"role": "volunteer", "content": "Yeah, yeah", "session_id": 2350, "sequence_id": 106, "annotations": []}
{"role": "volunteer", "content": "Yeah, OK. So, you see the same boxes right here, right? So, whenever the line dropped, that whenever the line perfectly crosses the boxes. So let's say I'm gonna draw a point where it crosses a box perfectly. So see here, it, uh, I, I, I'll put it in black. OK. So see here, it perfectly crosses, crosses the line right here, right? The, the line crosses a box perfectly right here. You see that, right?", "session_id": 2350, "sequence_id": 107, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 2350, "sequence_id": 108, "annotations": []}
{"role": "volunteer", "content": "It crosses the corner of the box perfectly as a cross the corner of the box perfectly. See how right here, it doesn't cross the corner of a box. It crosses the middle of the box. That doesn't count, OK? It has to cross the corner. So let's see how to calculate the slope of line, you take 2 points that cross the box of the, that cro, you take 2 points of a line that perfectly cross the corner of the box. So I'll draw", "session_id": 2350, "sequence_id": 109, "annotations": []}
{"role": "volunteer", "content": "I'm, you know what, I'm gonna draw points. Tell me if they're perfectly crosses the corner of the box, OK?", "session_id": 2350, "sequence_id": 110, "annotations": []}
{"role": "student", "content": "OK", "session_id": 2350, "sequence_id": 111, "annotations": []}
{"role": "volunteer", "content": "Uh, let's do this one. There's a cross perfectly.", "session_id": 2350, "sequence_id": 112, "annotations": []}
{"role": "volunteer", "content": "Good.", "session_id": 2350, "sequence_id": 113, "annotations": []}
{"role": "student", "content": "No. No.", "session_id": 2350, "sequence_id": 114, "annotations": []}
{"role": "volunteer", "content": "OK, good. Does this one crossed perfectly.", "session_id": 2350, "sequence_id": 115, "annotations": []}
{"role": "student", "content": "No", "session_id": 2350, "sequence_id": 116, "annotations": []}
{"role": "volunteer", "content": "Does this one, well, this one crossed perfectly.", "session_id": 2350, "sequence_id": 117, "annotations": []}
{"role": "student", "content": "No", "session_id": 2350, "sequence_id": 118, "annotations": []}
{"role": "volunteer", "content": "It does. Look, look, cause.", "session_id": 2350, "sequence_id": 119, "annotations": []}
{"role": "student", "content": "I can't really see cause it's I'm using my phone.", "session_id": 2350, "sequence_id": 120, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 2350, "sequence_id": 121, "annotations": []}
{"role": "volunteer", "content": "OK, but you know, you get the idea of if it crosses the core of the loss. OK, look, now.", "session_id": 2350, "sequence_id": 122, "annotations": []}
{"role": "student", "content": "Please", "session_id": 2350, "sequence_id": 123, "annotations": []}
{"role": "student", "content": "OK", "session_id": 2350, "sequence_id": 124, "annotations": []}
{"role": "volunteer", "content": "OK.", "session_id": 2350, "sequence_id": 125, "annotations": []}
{"role": "volunteer", "content": "So you're gonna take 2 points that cross the corner of the box, so I chose this, uh, I, I'm gonna mark it in red, you know, I will mark it in red.", "session_id": 2350, "sequence_id": 126, "annotations": []}
{"role": "volunteer", "content": "So this one", "session_id": 2350, "sequence_id": 127, "annotations": []}
{"role": "volunteer", "content": "and this one, OK. These cross the box perfectly, right?", "session_id": 2350, "sequence_id": 128, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 2350, "sequence_id": 129, "annotations": []}
{"role": "volunteer", "content": "OK. So now, you're gonna go from the one at the top, OK? You're gonna go from the one above and you have to climb down, so.", "session_id": 2350, "sequence_id": 130, "annotations": []}
{"role": "volunteer", "content": "look, I take the one from above, the one that's higher, right? So see how this one is higher than this one. That means I'm gonna start from going above. So I'm starting from, I'm a market in green. I'm going to start, or I'm marking the right thing. I'm a.", "session_id": 2350, "sequence_id": 131, "annotations": []}
{"role": "student", "content": "The one that's like higher at top.", "session_id": 2350, "sequence_id": 132, "annotations": []}
{"role": "volunteer", "content": "yeah, the one that", "session_id": 2350, "sequence_id": 133, "annotations": []}
{"role": "student", "content": "Yeah.", "session_id": 2350, "sequence_id": 134, "annotations": []}
{"role": "volunteer", "content": "yeah, the ones that are good. So I'll mark it in green. So this one is higher, right? So it's, it's this, let me do this. OK. If this one is higher, no, you're gonna start here. Now, you're just gonna climb down. So I'm gonna, uh, you, you want, all you wanna do, you wanna get the other, you start from the dot, that's higher. And you wanna get to the other corner. So to get to the other corner, you have to go", "session_id": 2350, "sequence_id": 135, "annotations": []}
{"role": "volunteer", "content": "down one", "session_id": 2350, "sequence_id": 136, "annotations": []}
{"role": "volunteer", "content": "2, I have to go down 2, so I'm gonna write that in black.", "session_id": 2350, "sequence_id": 137, "annotations": []}
{"role": "volunteer", "content": "I have to go down to", "session_id": 2350, "sequence_id": 138, "annotations": []}
{"role": "volunteer", "content": "and then next step, I have to go.", "session_id": 2350, "sequence_id": 139, "annotations": []}
{"role": "volunteer", "content": "I have to go", "session_id": 2350, "sequence_id": 140, "annotations": []}
{"role": "volunteer", "content": "only one tile to the side. I have to only go one tile to the side. So the slope is 2/1.", "session_id": 2350, "sequence_id": 141, "annotations": []}
{"role": "volunteer", "content": "AK just 2. So the slope of this line is 2. So go back to your worksheet as you can see, this method works. So, you have a scope of two. Now,", "session_id": 2350, "sequence_id": 142, "annotations": []}
{"role": "volunteer", "content": "I'm gonna delete everything really quick. One second.", "session_id": 2350, "sequence_id": 143, "annotations": []}
{"role": "volunteer", "content": "Do you get it? Uh, you, you'll get it. You'll get it. So one second, I need to delete literally everything. OK.", "session_id": 2350, "sequence_id": 144, "annotations": []}
{"role": "student", "content": "like dividing.", "session_id": 2350, "sequence_id": 145, "annotations": []}
{"role": "volunteer", "content": "Yeah, the vibe. So, you first, uh, just to summarize, you get the higher point. After getting the higher point, you just go from the higher point to the lower point. You'll, you'll see. So, go back to your worksheet. So, graphs A and B, right? The graph A and B, right?", "session_id": 2350, "sequence_id": 146, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 2350, "sequence_id": 147, "annotations": []}
{"role": "volunteer", "content": "Um, see how A and B are perfectly crossing the corners.", "session_id": 2350, "sequence_id": 148, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 2350, "sequence_id": 149, "annotations": []}
{"role": "volunteer", "content": "Great. So which is higher, A or B?", "session_id": 2350, "sequence_id": 150, "annotations": []}
{"role": "student", "content": "B.", "session_id": 2350, "sequence_id": 151, "annotations": []}
{"role": "volunteer", "content": "Good. So you're gonna start from B. So, we're uh just a reminder, I want you to try to calculate the slope on your own. So just to remind you, here's how you do it. First, you start from B. You have to see how many tiles, how many boxes it takes to go down to A.", "session_id": 2350, "sequence_id": 152, "annotations": []}
{"role": "volunteer", "content": "and then that's the top part of the fraction. Then, how many tiles to the side, you need to go to A. That's the bottom part of the fraction. So try it. How would you do? Just try it. I'll help you out.", "session_id": 2350, "sequence_id": 153, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 2350, "sequence_id": 154, "annotations": []}
{"role": "student", "content": "Yeah, you go, it's first start at B and then go down 4 steps and then go to like last two steps and then the", "session_id": 2350, "sequence_id": 155, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 2350, "sequence_id": 156, "annotations": []}
{"role": "student", "content": "will divide by 2, and that's 2.", "session_id": 2350, "sequence_id": 157, "annotations": []}
{"role": "volunteer", "content": "Yeah, that's how you get the slope. So yeah, good job. So you said you go down 4, which is why 4 is on the top, then you go to the side too, and then you, uh, that'll be 4 divided by 2, which is 2, right? OK. So do you wanna try the questions now?", "session_id": 2350, "sequence_id": 158, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 2350, "sequence_id": 159, "annotations": []}
{"role": "student", "content": "Yeah, let me just skip through real quick.", "session_id": 2350, "sequence_id": 160, "annotations": []}
{"role": "volunteer", "content": "OK. And I have to teach you one more concept after this, but yeah.", "session_id": 2350, "sequence_id": 161, "annotations": []}
{"role": "volunteer", "content": "OK, so can I ask you the questions?", "session_id": 2350, "sequence_id": 162, "annotations": []}
{"role": "student", "content": "It's on the activity, right?", "session_id": 2350, "sequence_id": 163, "annotations": []}
{"role": "volunteer", "content": "Uh, oh, the line drawn to.", "session_id": 2350, "sequence_id": 164, "annotations": []}
{"role": "student", "content": "Yeah.", "session_id": 2350, "sequence_id": 165, "annotations": []}
{"role": "volunteer", "content": "that's, that's the question", "session_id": 2350, "sequence_id": 166, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 2350, "sequence_id": 167, "annotations": []}
{"role": "volunteer", "content": "Uh, 01. OK. Well, you know, wait, the activity is exactly like the one on the right.", "session_id": 2350, "sequence_id": 168, "annotations": []}
{"role": "volunteer", "content": "Wait, OK", "session_id": 2350, "sequence_id": 169, "annotations": []}
{"role": "student", "content": "We could do that", "session_id": 2350, "sequence_id": 170, "annotations": []}
{"role": "student", "content": "too", "session_id": 2350, "sequence_id": 171, "annotations": []}
{"role": "volunteer", "content": "Yeah, OK, we already did do, OK, sure. So, oh, and one more thing. I, I wanna teach you something. So, this method works. OK, first, you have to identify something.", "session_id": 2350, "sequence_id": 172, "annotations": []}
{"role": "volunteer", "content": "Is the, so see, I, I drew a line right here. You see the line I just drew.", "session_id": 2350, "sequence_id": 173, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 2350, "sequence_id": 174, "annotations": []}
{"role": "volunteer", "content": "This line will continue to go up, right? That means the slope is positive. But let's say the, the line, let's say this, OK? Is the slope gonna be negative or positive? It's going down.", "session_id": 2350, "sequence_id": 175, "annotations": []}
{"role": "student", "content": "Negative", "session_id": 2350, "sequence_id": 176, "annotations": []}
{"role": "volunteer", "content": "Yes, it's very good. So look, for negative slopes, it's still the same thing like, oh, let's say down 3 tiles to the side two tiles, the slope is 3/2. The only difference is, you just add the minus sign. So I'm gonna give you um, you know what, I'm gonna give you, I'm gonna make my own questions, OK? So you're gonna fully understand. So look,", "session_id": 2350, "sequence_id": 177, "annotations": []}
{"role": "volunteer", "content": "I'm gonna ask, I'm gonna draw a line. OK, I drew a line. So it's a slow pause on this positive or negative.", "session_id": 2350, "sequence_id": 178, "annotations": []}
{"role": "student", "content": "hotline, um, positive.", "session_id": 2350, "sequence_id": 179, "annotations": []}
{"role": "volunteer", "content": "Good. I, uh, this a slow positive or negative?", "session_id": 2350, "sequence_id": 180, "annotations": []}
{"role": "student", "content": "um, negative.", "session_id": 2350, "sequence_id": 181, "annotations": []}
{"role": "volunteer", "content": "Is this low positive or negative?", "session_id": 2350, "sequence_id": 182, "annotations": []}
{"role": "student", "content": "positive", "session_id": 2350, "sequence_id": 183, "annotations": []}
{"role": "volunteer", "content": "All right, a few more. Is this one, I'm gonna do the 5 more. All right. Is this one's positive or negative?", "session_id": 2350, "sequence_id": 184, "annotations": []}
{"role": "student", "content": "negative", "session_id": 2350, "sequence_id": 185, "annotations": []}
{"role": "volunteer", "content": "Is this one positive or negative?", "session_id": 2350, "sequence_id": 186, "annotations": []}
{"role": "student", "content": "positive", "session_id": 2350, "sequence_id": 187, "annotations": []}
{"role": "volunteer", "content": "All right, 2 more. Is this one positive or negative?", "session_id": 2350, "sequence_id": 188, "annotations": []}
{"role": "student", "content": "negative", "session_id": 2350, "sequence_id": 189, "annotations": []}
{"role": "volunteer", "content": "Is this one positive or negative?", "session_id": 2350, "sequence_id": 190, "annotations": []}
{"role": "student", "content": "negative", "session_id": 2350, "sequence_id": 191, "annotations": []}
{"role": "volunteer", "content": "Oh, yes, because, because if I continue to go, it'll keep on going down, right? OK, good. So, uh,", "session_id": 2350, "sequence_id": 192, "annotations": []}
{"role": "student", "content": "You go up", "session_id": 2350, "sequence_id": 193, "annotations": []}
{"role": "student", "content": "for some of them and just go up.", "session_id": 2350, "sequence_id": 194, "annotations": []}
{"role": "student", "content": "if you", "session_id": 2350, "sequence_id": 195, "annotations": []}
{"role": "volunteer", "content": "wait, what do you mean? Look, whenever, yeah.", "session_id": 2350, "sequence_id": 196, "annotations": []}
{"role": "student", "content": "make it", "session_id": 2350, "sequence_id": 197, "annotations": []}
{"role": "volunteer", "content": "if you meet the positive, I mean, yeah, I'm just, uh, just to let, I'm just gonna look then, put tire point of that is to just for you to make sure.", "session_id": 2350, "sequence_id": 198, "annotations": []}
{"role": "volunteer", "content": "um, which ones you have to put the mio on and which one you don't. For example, if the slope is negative, then you're gonna still do the tile trick like, 02 down, uh, 3 to the right, 2/3. But since the slope is negative, all you're doing is a minus sign. If the slope is positive, you just keep it as is. OK. So do you see the little boxes on UPG, the little tile boxes are actually, you know what, never mind, I'm gonna make my own bro, OK. So 4", "session_id": 2350, "sequence_id": 199, "annotations": []}
{"role": "volunteer", "content": "I want you to try", "session_id": 2350, "sequence_id": 200, "annotations": []}
{"role": "volunteer", "content": "I'm gonna give you a screenshot. Try to see if you can solve this, OK?", "session_id": 2350, "sequence_id": 201, "annotations": []}
{"role": "student", "content": "OK", "session_id": 2350, "sequence_id": 202, "annotations": []}
{"role": "volunteer", "content": "If you can, yeah, OK.", "session_id": 2350, "sequence_id": 203, "annotations": []}
{"role": "volunteer", "content": "Um, OK.", "session_id": 2350, "sequence_id": 204, "annotations": []}
{"role": "volunteer", "content": "I just pieced something. How would you do this? How would you do this? Um, I'll put it right here. OK, how do you do this", "session_id": 2350, "sequence_id": 205, "annotations": []}
{"role": "volunteer", "content": "You, first, I'll tell you what you should do. You have to mark two points on this slime.", "session_id": 2350, "sequence_id": 206, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 2350, "sequence_id": 207, "annotations": []}
{"role": "volunteer", "content": "Rachel points. So what two points would you mark? Remember, it has to be on the corner of the boxes, OK, mark 2 points on this line.", "session_id": 2350, "sequence_id": 208, "annotations": [{"pii_type": "PERSON", "surrogate": "Rachel", "start": 0, "end": 6}]}
{"role": "student", "content": "like any points", "session_id": 2350, "sequence_id": 209, "annotations": []}
{"role": "volunteer", "content": "Yeah, any point, no, any point that crosses the corner of the box, yeah.", "session_id": 2350, "sequence_id": 210, "annotations": []}
{"role": "student", "content": "Oh, wait, it's kind of hard to do on my phone, but.", "session_id": 2350, "sequence_id": 211, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 2350, "sequence_id": 212, "annotations": []}
{"role": "student", "content": "Can you see", "session_id": 2350, "sequence_id": 213, "annotations": []}
{"role": "volunteer", "content": "Um", "session_id": 2350, "sequence_id": 214, "annotations": []}
{"role": "volunteer", "content": "well, yeah, but that doesn't exactly cross a corner of the box.", "session_id": 2350, "sequence_id": 215, "annotations": []}
{"role": "student", "content": "oh", "session_id": 2350, "sequence_id": 216, "annotations": []}
{"role": "volunteer", "content": "You have to do one that perfectly crosses the corner of the box.", "session_id": 2350, "sequence_id": 217, "annotations": []}
{"role": "student", "content": "it's kind of hard to do all my", "session_id": 2350, "sequence_id": 218, "annotations": []}
{"role": "student", "content": "phone, but", "session_id": 2350, "sequence_id": 219, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 2350, "sequence_id": 220, "annotations": []}
{"role": "volunteer", "content": "Wait, OK, you don't ask my deal. Can you see, uh, wait, uh, one second, one second. I'm gonna drop points and you tell me if you want to use them. AK, you have to tell me if they're on the corner of the boxes or not. OK. So", "session_id": 2350, "sequence_id": 221, "annotations": []}
{"role": "volunteer", "content": "this let's do this one.", "session_id": 2350, "sequence_id": 222, "annotations": []}
{"role": "student", "content": "wait", "session_id": 2350, "sequence_id": 223, "annotations": []}
{"role": "student", "content": "um, wait, let me just zoom in. Oh.", "session_id": 2350, "sequence_id": 224, "annotations": []}
{"role": "student", "content": "vertical", "session_id": 2350, "sequence_id": 225, "annotations": []}
{"role": "student", "content": "Yeah, you can use that", "session_id": 2350, "sequence_id": 226, "annotations": []}
{"role": "volunteer", "content": "OK, good. Can I use this one.", "session_id": 2350, "sequence_id": 227, "annotations": []}
{"role": "volunteer", "content": "Uh, sorry, this one.", "session_id": 2350, "sequence_id": 228, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 2350, "sequence_id": 229, "annotations": []}
{"role": "volunteer", "content": "No, no, remember, I can't", "session_id": 2350, "sequence_id": 230, "annotations": []}
{"role": "volunteer", "content": "huh?", "session_id": 2350, "sequence_id": 231, "annotations": []}
{"role": "student", "content": "Wait, which one? Wait", "session_id": 2350, "sequence_id": 232, "annotations": []}
{"role": "student", "content": "No, you can't", "session_id": 2350, "sequence_id": 233, "annotations": []}
{"role": "volunteer", "content": "Can I, I'm gonna mark it in pink. Can I use this one?", "session_id": 2350, "sequence_id": 234, "annotations": []}
{"role": "student", "content": "No", "session_id": 2350, "sequence_id": 235, "annotations": []}
{"role": "volunteer", "content": "Can I use", "session_id": 2350, "sequence_id": 236, "annotations": []}
{"role": "volunteer", "content": "uh, can I use", "session_id": 2350, "sequence_id": 237, "annotations": []}
{"role": "volunteer", "content": "this one", "session_id": 2350, "sequence_id": 238, "annotations": []}
{"role": "volunteer", "content": "Uh, this one", "session_id": 2350, "sequence_id": 239, "annotations": []}
{"role": "volunteer", "content": "Right, let me make it more clear. It's in, it's in pink. So can I use um?", "session_id": 2350, "sequence_id": 240, "annotations": []}
{"role": "student", "content": "No", "session_id": 2350, "sequence_id": 241, "annotations": []}
{"role": "volunteer", "content": "Good. Can I use this one. It's in the pink, well, yeah.", "session_id": 2350, "sequence_id": 242, "annotations": []}
{"role": "student", "content": "Yeah, you can use that.", "session_id": 2350, "sequence_id": 243, "annotations": []}
{"role": "volunteer", "content": "Nice. Can I, this is a bit of a trick. Can I use this one?", "session_id": 2350, "sequence_id": 244, "annotations": []}
{"role": "volunteer", "content": "or, uh, wait", "session_id": 2350, "sequence_id": 245, "annotations": []}
{"role": "volunteer", "content": "this one", "session_id": 2350, "sequence_id": 246, "annotations": []}
{"role": "student", "content": "No", "session_id": 2350, "sequence_id": 247, "annotations": []}
{"role": "volunteer", "content": "How about this one", "session_id": 2350, "sequence_id": 248, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 2350, "sequence_id": 249, "annotations": []}
{"role": "volunteer", "content": "OK, good. So now you understand. So I'm gonna use two corners of the boxes. I will pick", "session_id": 2350, "sequence_id": 250, "annotations": []}
{"role": "student", "content": "Yeah.", "session_id": 2350, "sequence_id": 251, "annotations": []}
{"role": "volunteer", "content": "this one and this one, OK? These are both perfect corners of the boxes, right?", "session_id": 2350, "sequence_id": 252, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 2350, "sequence_id": 253, "annotations": []}
{"role": "volunteer", "content": "Now, calculate the slope. Now up it's up to you to calculate the slope.", "session_id": 2350, "sequence_id": 254, "annotations": []}
{"role": "student", "content": "04, so 4 steps down.", "session_id": 2350, "sequence_id": 255, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 2350, "sequence_id": 256, "annotations": []}
{"role": "volunteer", "content": "Yes", "session_id": 2350, "sequence_id": 257, "annotations": []}
{"role": "student", "content": "and then 1 step to like the left, so it's just 4.", "session_id": 2350, "sequence_id": 258, "annotations": []}
{"role": "student", "content": "Yeah.", "session_id": 2350, "sequence_id": 259, "annotations": []}
{"role": "volunteer", "content": "Yup, the slope is 4. So, what I would do, I wouldn't try to, I wouldn't say 4 down and 1 left like be specific up, left down, because that could confuse you a little bit. Just, uh, you know, OK, that's fine, but all you have to, you don't have to say it was specifically left or right. You just have to be careful of whether it's plus or minus. So you got the slope is 4. It's this is the low, is a low positive for or negative 4?", "session_id": 2350, "sequence_id": 260, "annotations": []}
{"role": "student", "content": "it", "session_id": 2350, "sequence_id": 261, "annotations": []}
{"role": "student", "content": "ne", "session_id": 2350, "sequence_id": 262, "annotations": []}
{"role": "volunteer", "content": "things. Very good.", "session_id": 2350, "sequence_id": 263, "annotations": []}
{"role": "student", "content": "Great.", "session_id": 2350, "sequence_id": 264, "annotations": []}
{"role": "student", "content": "It's going down", "session_id": 2350, "sequence_id": 265, "annotations": []}
{"role": "volunteer", "content": "No, no, the line is going up. Look, I drew, it's this, it's basically this, the line of phone.", "session_id": 2350, "sequence_id": 266, "annotations": []}
{"role": "student", "content": "Oh, it's", "session_id": 2350, "sequence_id": 267, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 2350, "sequence_id": 268, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 2350, "sequence_id": 269, "annotations": []}
{"role": "volunteer", "content": "So I'm gonna, I'm gonna do a bit of a, uh, uh, weirder one. OK.", "session_id": 2350, "sequence_id": 270, "annotations": []}
{"role": "volunteer", "content": "I want you to", "session_id": 2350, "sequence_id": 271, "annotations": []}
{"role": "student", "content": "repeat the activity cause um I also wanna learn like the slope formula.", "session_id": 2350, "sequence_id": 272, "annotations": []}
{"role": "volunteer", "content": "that, that is a slow formula. Look, OK, OK. OK, look, I'll, I'll teach you. So you see the slope of a non-vertical line, right?", "session_id": 2350, "sequence_id": 273, "annotations": []}
{"role": "volunteer", "content": "You, you see the part where it says slope of a non-vertical.", "session_id": 2350, "sequence_id": 274, "annotations": []}
{"role": "volunteer", "content": "slope of a non or vertical line, right?", "session_id": 2350, "sequence_id": 275, "annotations": []}
{"role": "student", "content": "Yeah, but there's like a page it says uh.", "session_id": 2350, "sequence_id": 276, "annotations": []}
{"role": "volunteer", "content": "Hmm", "session_id": 2350, "sequence_id": 277, "annotations": []}
{"role": "student", "content": "should I send the page, the other one?", "session_id": 2350, "sequence_id": 278, "annotations": []}
{"role": "volunteer", "content": "Yeah, otherwise, I can't see. Yeah, OK, yeah, send it.", "session_id": 2350, "sequence_id": 279, "annotations": []}
{"role": "volunteer", "content": "There's another way to do slope. There's a, oh, it says, try reuploading the image. It says as the student's image cannot be uploaded.", "session_id": 2350, "sequence_id": 280, "annotations": []}
{"role": "student", "content": "Oh.", "session_id": 2350, "sequence_id": 281, "annotations": []}
{"role": "volunteer", "content": "Um, OK.", "session_id": 2350, "sequence_id": 282, "annotations": []}
{"role": "volunteer", "content": "Yeah, I don't know. I keep saying the student's image cannot be uploaded. Does it allow you to share a screen?", "session_id": 2350, "sequence_id": 283, "annotations": []}
{"role": "volunteer", "content": "Oh yeah, it does allow you to share a screen. Try, try sharing a screen.", "session_id": 2350, "sequence_id": 284, "annotations": []}
{"role": "student", "content": "wait, it showed", "session_id": 2350, "sequence_id": 285, "annotations": []}
{"role": "volunteer", "content": "Uh, 00, it's finally loaded. OK.", "session_id": 2350, "sequence_id": 286, "annotations": []}
{"role": "student", "content": "Yeah.", "session_id": 2350, "sequence_id": 287, "annotations": []}
{"role": "volunteer", "content": "Good. So, so slow formula. OK, look, so for the slope formula, um,", "session_id": 2350, "sequence_id": 288, "annotations": []}
{"role": "student", "content": "I first solved the activity.", "session_id": 2350, "sequence_id": 289, "annotations": []}
{"role": "volunteer", "content": "uh, you mean the activity number one.", "session_id": 2350, "sequence_id": 290, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 2350, "sequence_id": 291, "annotations": []}
{"role": "volunteer", "content": "We already did, but sure, OK.", "session_id": 2350, "sequence_id": 292, "annotations": []}
{"role": "volunteer", "content": "Oh", "session_id": 2350, "sequence_id": 293, "annotations": []}
{"role": "volunteer", "content": "We already did. So", "session_id": 2350, "sequence_id": 294, "annotations": []}
{"role": "volunteer", "content": "um", "session_id": 2350, "sequence_id": 295, "annotations": []}
{"role": "volunteer", "content": "so, OK, look, it says there, um, the line drawn at 2/3. So right here.", "session_id": 2350, "sequence_id": 296, "annotations": []}
{"role": "volunteer", "content": "We already did solve it, but sure. This is David at -2/3 and all one. So these two points, right?", "session_id": 2350, "sequence_id": 297, "annotations": [{"pii_type": "PERSON", "surrogate": "David", "start": 43, "end": 48}]}
{"role": "student", "content": "Right, yeah", "session_id": 2350, "sequence_id": 298, "annotations": []}
{"role": "volunteer", "content": "Uh, yep", "session_id": 2350, "sequence_id": 299, "annotations": []}
{"role": "student", "content": "and", "session_id": 2350, "sequence_id": 300, "annotations": []}
{"role": "student", "content": "OK, let me just", "session_id": 2350, "sequence_id": 301, "annotations": []}
{"role": "student", "content": "OK", "session_id": 2350, "sequence_id": 302, "annotations": []}
{"role": "volunteer", "content": "OK. Oh, yeah. So", "session_id": 2350, "sequence_id": 303, "annotations": []}
{"role": "volunteer", "content": "look, you go, now try. Exactly, you Math 101, you go 4 down, then 2 to the side, even for activity number one, right? So, yeah, that's how you do.", "session_id": 2350, "sequence_id": 304, "annotations": [{"pii_type": "COURSE", "surrogate": "Math 101", "start": 36, "end": 44}]}
{"role": "volunteer", "content": "Yeah", "session_id": 2350, "sequence_id": 305, "annotations": []}
{"role": "volunteer", "content": "Now, for the formula method. OK, so you got activity one, like we did the question, right?", "session_id": 2350, "sequence_id": 306, "annotations": []}
{"role": "student", "content": "Yeah, wait, let me Alg 201.", "session_id": 2350, "sequence_id": 307, "annotations": [{"pii_type": "COURSE", "surrogate": "Alg 201", "start": 19, "end": 26}]}
{"role": "student", "content": "Wait, so", "session_id": 2350, "sequence_id": 308, "annotations": []}
{"role": "volunteer", "content": "But", "session_id": 2350, "sequence_id": 309, "annotations": []}
{"role": "student", "content": "uh", "session_id": 2350, "sequence_id": 310, "annotations": []}
{"role": "volunteer", "content": "for activity", "session_id": 2350, "sequence_id": 311, "annotations": []}
{"role": "volunteer", "content": "uh for activity one,", "session_id": 2350, "sequence_id": 312, "annotations": []}
{"role": "student", "content": "2", "session_id": 2350, "sequence_id": 313, "annotations": []}
{"role": "volunteer", "content": "it's just not true. Yeah, the slope is 2. The slope is, yeah, the slope is different.", "session_id": 2350, "sequence_id": 314, "annotations": []}
{"role": "student", "content": "Oh", "session_id": 2350, "sequence_id": 315, "annotations": []}
{"role": "volunteer", "content": "OK.", "session_id": 2350, "sequence_id": 316, "annotations": []}
{"role": "volunteer", "content": "Now, the formula way to do it, do you wanna learn the formula way?", "session_id": 2350, "sequence_id": 317, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 2350, "sequence_id": 318, "annotations": []}
{"role": "volunteer", "content": "OK, look, so", "session_id": 2350, "sequence_id": 319, "annotations": []}
{"role": "volunteer", "content": "uh, OK, so now the formal way to do it. Look, so you have to take 2 points, still on, still on the box, right? You have to make a sail on the box, but", "session_id": 2350, "sequence_id": 320, "annotations": []}
{"role": "volunteer", "content": "for the formula, you take 2 points. Do you know how to find the cord in that of a point, the coordinate like.", "session_id": 2350, "sequence_id": 321, "annotations": []}
{"role": "student", "content": "wait", "session_id": 2350, "sequence_id": 322, "annotations": []}
{"role": "student", "content": "OK", "session_id": 2350, "sequence_id": 323, "annotations": []}
{"role": "volunteer", "content": "OK, yeah, yeah, go, go. So, um, OK.", "session_id": 2350, "sequence_id": 324, "annotations": []}
{"role": "volunteer", "content": "OK, so for the formula, right? Let's say you have 22 points. You have 2 points. Um, I'm gonna write them down here.", "session_id": 2350, "sequence_id": 325, "annotations": []}
{"role": "volunteer", "content": "Um, I wrote, I'm writing it below the images, 02, wait, oh, I'm playing black, OK.", "session_id": 2350, "sequence_id": 326, "annotations": []}
{"role": "volunteer", "content": "02 and", "session_id": 2350, "sequence_id": 327, "annotations": []}
{"role": "volunteer", "content": "and they use, they use 24, so sure. 24. OK. Let's say you have these two points", "session_id": 2350, "sequence_id": 328, "annotations": []}
{"role": "volunteer", "content": "Do you know which one is a Y coordinate and which one is the X-cornet?", "session_id": 2350, "sequence_id": 329, "annotations": []}
{"role": "student", "content": "Yeah, um, the X coordinates are 0 and 2", "session_id": 2350, "sequence_id": 330, "annotations": []}
{"role": "student", "content": "from like", "session_id": 2350, "sequence_id": 331, "annotations": []}
{"role": "volunteer", "content": "So", "session_id": 2350, "sequence_id": 332, "annotations": []}
{"role": "volunteer", "content": "that", "session_id": 2350, "sequence_id": 333, "annotations": []}
{"role": "student", "content": "oh", "session_id": 2350, "sequence_id": 334, "annotations": []}
{"role": "student", "content": "and", "session_id": 2350, "sequence_id": 335, "annotations": []}
{"role": "volunteer", "content": "yeah, I", "session_id": 2350, "sequence_id": 336, "annotations": []}
{"role": "student", "content": "Y coordinates are 2 and 4.", "session_id": 2350, "sequence_id": 337, "annotations": []}
{"role": "volunteer", "content": "OK, so, uh, the ones I'm circling are the X corner, right? Lisa", "session_id": 2350, "sequence_id": 338, "annotations": [{"pii_type": "PERSON", "surrogate": "Lisa", "start": 59, "end": 63}]}
{"role": "student", "content": "Yeah.", "session_id": 2350, "sequence_id": 339, "annotations": []}
{"role": "volunteer", "content": "OK, good", "session_id": 2350, "sequence_id": 340, "annotations": []}
{"role": "volunteer", "content": "So yeah, oh shoot, with the X cornice, all you're doing, so now you're subtracting the uh uh so I, what I do, I'd write it on top of each other like I just did.", "session_id": 2350, "sequence_id": 341, "annotations": []}
{"role": "volunteer", "content": "So now what you should do,", "session_id": 2350, "sequence_id": 342, "annotations": []}
{"role": "volunteer", "content": "you do", "session_id": 2350, "sequence_id": 343, "annotations": []}
{"role": "volunteer", "content": "um, you're gonna add a minus right here. So now, first", "session_id": 2350, "sequence_id": 344, "annotations": []}
{"role": "volunteer", "content": "you do the X coordinates go on the bar. So 0 minus 2", "session_id": 2350, "sequence_id": 345, "annotations": []}
{"role": "volunteer", "content": "go on the bottom, and then", "session_id": 2350, "sequence_id": 346, "annotations": []}
{"role": "volunteer", "content": "2 minus 4.", "session_id": 2350, "sequence_id": 347, "annotations": []}
{"role": "volunteer", "content": "go on the top, right? So that's what I, that's how the slow formula. So, you first list the two points.", "session_id": 2350, "sequence_id": 348, "annotations": []}
{"role": "volunteer", "content": "after listing the two points, subtract the X's and then subtract the wise. So now let's do it. So what is 2 minus 42 minus 4.", "session_id": 2350, "sequence_id": 349, "annotations": []}
{"role": "student", "content": "2", "session_id": 2350, "sequence_id": 350, "annotations": []}
{"role": "volunteer", "content": "Very good. What is 0 minus 2?", "session_id": 2350, "sequence_id": 351, "annotations": []}
{"role": "student", "content": "ne", "session_id": 2350, "sequence_id": 352, "annotations": []}
{"role": "volunteer", "content": "Or, yeah, what is this", "session_id": 2350, "sequence_id": 353, "annotations": []}
{"role": "student", "content": "2", "session_id": 2350, "sequence_id": 354, "annotations": []}
{"role": "volunteer", "content": "math too. So what is -2 over -2?", "session_id": 2350, "sequence_id": 355, "annotations": []}
{"role": "volunteer", "content": "2 divide by 2", "session_id": 2350, "sequence_id": 356, "annotations": []}
{"role": "student", "content": "1", "session_id": 2350, "sequence_id": 357, "annotations": []}
{"role": "volunteer", "content": "Very good. OK. So now you have the slope of this land is one. But one thing, look, you have to write it in a very specific order. Look, I wrote the two points. After writing the two points, what goes on the bar? What goes on the bomb, the X or the Y?", "session_id": 2350, "sequence_id": 358, "annotations": []}
{"role": "volunteer", "content": "for the former", "session_id": 2350, "sequence_id": 359, "annotations": []}
{"role": "student", "content": "we", "session_id": 2350, "sequence_id": 360, "annotations": []}
{"role": "student", "content": "the for the top", "session_id": 2350, "sequence_id": 361, "annotations": []}
{"role": "volunteer", "content": "Sure, the top, yeah. What goes on the top?", "session_id": 2350, "sequence_id": 362, "annotations": []}
{"role": "volunteer", "content": "Yeah.", "session_id": 2350, "sequence_id": 363, "annotations": []}
{"role": "student", "content": "the Y coordinates, 2 and 4 and 4.", "session_id": 2350, "sequence_id": 364, "annotations": []}
{"role": "volunteer", "content": "Now, for this formula, let's say you do 2 minus 4, then you have to do 0 minus 2 and not 2 minus 0. Some people, they do 2 minus 0. Why you have to do 0 minus 2 because if you're choosing to subtract the top one buys a, if you're choosing to subtract the top Y coordinate minus a bottom white cornet, then you have to do the top X coordinate minus the bottom x coin. So, OK, I", "session_id": 2350, "sequence_id": 365, "annotations": []}
{"role": "volunteer", "content": "' m gonna give you another example. You'll get it", "session_id": 2350, "sequence_id": 366, "annotations": []}
{"role": "volunteer", "content": "Calculate the slope of 1 and 3 and 4 and um 4 in.", "session_id": 2350, "sequence_id": 367, "annotations": []}
{"role": "volunteer", "content": "8.", "session_id": 2350, "sequence_id": 368, "annotations": []}
{"role": "volunteer", "content": "Calculate the slope of this.", "session_id": 2350, "sequence_id": 369, "annotations": []}
{"role": "student", "content": "OK, wait, let me just write it down.", "session_id": 2350, "sequence_id": 370, "annotations": []}
{"role": "student", "content": "Wait, sorry, what were the coordinates?", "session_id": 2350, "sequence_id": 371, "annotations": []}
{"role": "volunteer", "content": "Oh, you know what, sorry, one second. So, 1 and 3 and then 4 and 91 and 34 and 9.", "session_id": 2350, "sequence_id": 372, "annotations": []}
{"role": "student", "content": "OK", "session_id": 2350, "sequence_id": 373, "annotations": []}
{"role": "student", "content": "4 and", "session_id": 2350, "sequence_id": 374, "annotations": []}
{"role": "student", "content": "uh", "session_id": 2350, "sequence_id": 375, "annotations": []}
{"role": "volunteer", "content": "OK. 2 points. How are you doing?", "session_id": 2350, "sequence_id": 376, "annotations": []}
{"role": "student", "content": "so first", "session_id": 2350, "sequence_id": 377, "annotations": []}
{"role": "student", "content": "the Y coordinates, there, I could do 9.", "session_id": 2350, "sequence_id": 378, "annotations": []}
{"role": "student", "content": "minus 3.", "session_id": 2350, "sequence_id": 379, "annotations": []}
{"role": "volunteer", "content": "OK, uh, on the top or on the bottom?", "session_id": 2350, "sequence_id": 380, "annotations": []}
{"role": "student", "content": "on the top", "session_id": 2350, "sequence_id": 381, "annotations": []}
{"role": "volunteer", "content": "Very good. OK, next", "session_id": 2350, "sequence_id": 382, "annotations": []}
{"role": "student", "content": "4 minus 1.", "session_id": 2350, "sequence_id": 383, "annotations": []}
{"role": "student", "content": "and then", "session_id": 2350, "sequence_id": 384, "annotations": []}
{"role": "student", "content": "that's", "session_id": 2350, "sequence_id": 385, "annotations": []}
{"role": "student", "content": "3", "session_id": 2350, "sequence_id": 386, "annotations": []}
{"role": "student", "content": "over 3, and that's 1.", "session_id": 2350, "sequence_id": 387, "annotations": []}
{"role": "volunteer", "content": "Close, but the answer is 2. So 9 minus 3. What is 9 minus 3? Let's see what you did wrong. What is 9 minus 3?", "session_id": 2350, "sequence_id": 388, "annotations": []}
{"role": "student", "content": "3.", "session_id": 2350, "sequence_id": 389, "annotations": []}
{"role": "student", "content": "I know. Oh, wait, I timed it. Oh no, it's it.", "session_id": 2350, "sequence_id": 390, "annotations": []}
{"role": "student", "content": "6", "session_id": 2350, "sequence_id": 391, "annotations": []}
{"role": "student", "content": "so it's", "session_id": 2350, "sequence_id": 392, "annotations": []}
{"role": "volunteer", "content": "Yes, yes, good. So the whole thing is 6/3, which gives you a slope of two. OK, very good.", "session_id": 2350, "sequence_id": 393, "annotations": []}
{"role": "student", "content": "should I solve the example on the um like the page.", "session_id": 2350, "sequence_id": 394, "annotations": []}
{"role": "student", "content": "What", "session_id": 2350, "sequence_id": 395, "annotations": []}
{"role": "volunteer", "content": "Yeah, sure. Now you can try. So now you have the formula method and you have the little like, uh, 4 down, 4, you know what I mean. So now you have both.", "session_id": 2350, "sequence_id": 396, "annotations": []}
{"role": "student", "content": "like, why isn't it the same thing?", "session_id": 2350, "sequence_id": 397, "annotations": []}
{"role": "volunteer", "content": "uh yeah, they both calculated the slope. It's just two different methods, but the point method, the little formula method, although it's longer, it's, I guess, more teachers would recommend using the formal method. So if you want, do the formula method. But", "session_id": 2350, "sequence_id": 398, "annotations": []}
{"role": "volunteer", "content": "uh, one thing. So let's say you have a graph and you want to find the slope, you could do the which point is higher corner of the boxes, you know what I mean, but if you want to do the formula method even when you have a graph, you have to see when it crosses uh, when it crosses the corner of the boxes.", "session_id": 2350, "sequence_id": 399, "annotations": []}
{"role": "volunteer", "content": "Take your two points and then do the formula. So, let's say, you know the activity one, you'd have to, you'd have to say, oh, B is located in coordinates 13, and A is located in in an x-coordinate, 1, and then be the former. So yeah, you could do both methods, they will give you the same thing most of the time. Uh, unless, but the problem with the uh up and down method", "session_id": 2350, "sequence_id": 400, "annotations": []}
{"role": "volunteer", "content": "is in some special, special graphs. It won't give you this look. And some special graphs, it will give you the slope. So I guess if you want, even though it takes longer, you should do the slow form up. The, it'll never be wrong unless you mess something up. So yeah.", "session_id": 2350, "sequence_id": 401, "annotations": []}
{"role": "student", "content": "Wait so it could be wrong, like I do the other way.", "session_id": 2350, "sequence_id": 402, "annotations": []}
{"role": "volunteer", "content": "it's, it's pretty rare, but they're in special and special um tables, it could, it's like, like I think 9 out of 10 times it'll work. You know when it won't work? OK. I'll show you one of, or when it won't work.", "session_id": 2350, "sequence_id": 403, "annotations": []}
{"role": "volunteer", "content": "So, OK", "session_id": 2350, "sequence_id": 404, "annotations": []}
{"role": "volunteer", "content": "I, I'll show you when it one work. You'll, you'll, you'll get why it won't work. So", "session_id": 2350, "sequence_id": 405, "annotations": []}
{"role": "volunteer", "content": "I'm gonna show you a very special example.", "session_id": 2350, "sequence_id": 406, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 2350, "sequence_id": 407, "annotations": []}
{"role": "volunteer", "content": "Let's say", "session_id": 2350, "sequence_id": 408, "annotations": []}
{"role": "volunteer", "content": "uh, I'm, I'm uploading something right now, but you get both message. You get both methods, right?", "session_id": 2350, "sequence_id": 409, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 2350, "sequence_id": 410, "annotations": []}
{"role": "volunteer", "content": "OK, perfect. So you learned actually a pretty Chem 300, so, OK, look, very good. So here is an example of where it wouldn't work. So, the problem with this is", "session_id": 2350, "sequence_id": 411, "annotations": [{"pii_type": "COURSE", "surrogate": "Chem 300", "start": 46, "end": 54}]}
{"role": "volunteer", "content": "uh, I mean, you know what, it, it, it actually might work here. I don't know, let me see.", "session_id": 2350, "sequence_id": 412, "annotations": []}
{"role": "volunteer", "content": "Oh", "session_id": 2350, "sequence_id": 413, "annotations": []}
{"role": "volunteer", "content": "uh, actually, I think we just still work here?", "session_id": 2350, "sequence_id": 414, "annotations": []}
{"role": "student", "content": "very", "session_id": 2350, "sequence_id": 415, "annotations": []}
{"role": "volunteer", "content": "Oh, let me see. So,", "session_id": 2350, "sequence_id": 416, "annotations": []}
{"role": "volunteer", "content": "it, it would work here, wow, huh, so that's surprising. Actually, OK, no, it works most of, most of the time. That's uh.", "session_id": 2350, "sequence_id": 417, "annotations": []}
{"role": "student", "content": "but some people might just like mix it up, right?", "session_id": 2350, "sequence_id": 418, "annotations": []}
{"role": "student", "content": "Right", "session_id": 2350, "sequence_id": 419, "annotations": []}
{"role": "volunteer", "content": "yeah, they cook fish though.", "session_id": 2350, "sequence_id": 420, "annotations": []}
{"role": "student", "content": "OK", "session_id": 2350, "sequence_id": 421, "annotations": []}
{"role": "volunteer", "content": "Oh, no, actually, it actually works almost every time. So mine is 45.", "session_id": 2350, "sequence_id": 422, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 2350, "sequence_id": 423, "annotations": []}
{"role": "volunteer", "content": "Oh no, it works, it works, no, no, OK. Uh, you know, you know when the, when work, I forgot, I forgot. It actually works most of the time, but I had it one time, a teacher, she used a bad, um, you see how I'm using a program to generate graphs for for me, like these lines. I'm using a program. They use the bad program one time and the the graph was like off, like there was something wrong with the graph. I don't know how to explain it.", "session_id": 2350, "sequence_id": 424, "annotations": []}
{"role": "volunteer", "content": "So when the graph is like slightly wrong or it could be demonstrated better, you have to use the points, but I mean, yeah. No, it works most of the time like", "session_id": 2350, "sequence_id": 425, "annotations": []}
{"role": "volunteer", "content": "yeah, no, it works most of the time. You could have, what I'd suggest for you,", "session_id": 2350, "sequence_id": 426, "annotations": []}
{"role": "volunteer", "content": "first, you do the, the graph method, and then you check using the formula method. Just double check. You could double check both ones. OK, so do you wanna do the activity number like tuna.", "session_id": 2350, "sequence_id": 427, "annotations": []}
{"role": "student", "content": "Yeah, I already solved it.", "session_id": 2350, "sequence_id": 428, "annotations": []}
{"role": "volunteer", "content": "OK. Can you tell me how you solved it?", "session_id": 2350, "sequence_id": 429, "annotations": []}
{"role": "student", "content": "Yeah, so first,", "session_id": 2350, "sequence_id": 430, "annotations": []}
{"role": "student", "content": "um, the Y coordinates, um, I would, I did 5 minus 1.", "session_id": 2350, "sequence_id": 431, "annotations": []}
{"role": "volunteer", "content": "which is what", "session_id": 2350, "sequence_id": 432, "annotations": []}
{"role": "student", "content": "6.", "session_id": 2350, "sequence_id": 433, "annotations": []}
{"role": "volunteer", "content": "done", "session_id": 2350, "sequence_id": 434, "annotations": []}
{"role": "student", "content": "and then 4 minus 2, which is 2, and then that equals to 3.", "session_id": 2350, "sequence_id": 435, "annotations": []}
{"role": "volunteer", "content": "OK, you fully understand now. Very good. OK. So, I mean,", "session_id": 2350, "sequence_id": 436, "annotations": []}
{"role": "student", "content": "What about horizontal lines like the bottom what it says on the", "session_id": 2350, "sequence_id": 437, "annotations": []}
{"role": "volunteer", "content": "oh", "session_id": 2350, "sequence_id": 438, "annotations": []}
{"role": "volunteer", "content": "for um", "session_id": 2350, "sequence_id": 439, "annotations": []}
{"role": "student", "content": "I also have the, wait, examples", "session_id": 2350, "sequence_id": 440, "annotations": []}
{"role": "volunteer", "content": "Yeah, so, look, OK, OK, OK. For horizontal lines, you know how you're like course was trying to teach you about steepness", "session_id": 2350, "sequence_id": 441, "annotations": []}
{"role": "student", "content": "What", "session_id": 2350, "sequence_id": 442, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 2350, "sequence_id": 443, "annotations": []}
{"role": "volunteer", "content": "You know, your, how your entire course was trying to teach you about teness. Look, so in the horizontal line, how I drew exactly horizontal line. How steep do you think this is?", "session_id": 2350, "sequence_id": 444, "annotations": []}
{"role": "student", "content": "Yeah.", "session_id": 2350, "sequence_id": 445, "annotations": []}
{"role": "volunteer", "content": "Uh, I'm just gonna spoil the answer. It's 0. It's not steep at all. Meaning the slope is zero, OK? I'm I'm just gonna spoil it. The slope is 0 because the horizontal line, it's not steep at all. Like a mile, m, like 3 year old, like a 3 year old could crawl over this. It's, it's, yeah, the steepness is zero, meaning the slope is zero, OK?", "session_id": 2350, "sequence_id": 446, "annotations": []}
{"role": "student", "content": "Yeah, yeah, that makes sense.", "session_id": 2350, "sequence_id": 447, "annotations": []}
{"role": "volunteer", "content": "So any horizontal line will have a zero steepness, OK?", "session_id": 2350, "sequence_id": 448, "annotations": []}
{"role": "student", "content": "OK", "session_id": 2350, "sequence_id": 449, "annotations": []}
{"role": "volunteer", "content": "All right. Good. So, is there anything else?", "session_id": 2350, "sequence_id": 450, "annotations": []}
{"role": "student", "content": "Uh", "session_id": 2350, "sequence_id": 451, "annotations": []}
{"role": "student", "content": "Uh", "session_id": 2350, "sequence_id": 452, "annotations": []}
{"role": "student", "content": "Yeah, could we um solve like the examples and activities that I sent about the horizontal lens.", "session_id": 2350, "sequence_id": 453, "annotations": []}
{"role": "volunteer", "content": "Um, which one? Can you circle them?", "session_id": 2350, "sequence_id": 454, "annotations": []}
{"role": "student", "content": "uh here", "session_id": 2350, "sequence_id": 455, "annotations": []}
{"role": "student", "content": "Can you see it now, or", "session_id": 2350, "sequence_id": 456, "annotations": []}
{"role": "student", "content": "it's on the bottom.", "session_id": 2350, "sequence_id": 457, "annotations": []}
{"role": "volunteer", "content": "Oh, so, uh, OK, OK, OK, sure.", "session_id": 2350, "sequence_id": 458, "annotations": []}
{"role": "volunteer", "content": "Uh.", "session_id": 2350, "sequence_id": 459, "annotations": []}
{"role": "student", "content": "The, uh, example, uh, to an activity 3.", "session_id": 2350, "sequence_id": 460, "annotations": []}
{"role": "volunteer", "content": "OK. Example 2. I'm gonna read it. In each case, to determine whether there's a line passing through the pair of points is horizontal. How, OK, I'm gonna teach you how you do this. You have to calculate the, uh, you look, OK, so", "session_id": 2350, "sequence_id": 461, "annotations": []}
{"role": "volunteer", "content": "I'm gonna try, do you want me to explain to you how to do this or do you wanna try on your own?", "session_id": 2350, "sequence_id": 462, "annotations": []}
{"role": "student", "content": "I'll try on my own cause isn't it the same thing as the slope formula?", "session_id": 2350, "sequence_id": 463, "annotations": []}
{"role": "student", "content": "Yeah.", "session_id": 2350, "sequence_id": 464, "annotations": []}
{"role": "volunteer", "content": "Yes, um, you know, I'm just gonna, I'm OK. Yeah, yeah. Tre try it completely on your own. Yeah, try it completely on your own.", "session_id": 2350, "sequence_id": 465, "annotations": []}
{"role": "student", "content": "And I'll tell you what I'm doing while I'm solving.", "session_id": 2350, "sequence_id": 466, "annotations": []}
{"role": "volunteer", "content": "Sure.", "session_id": 2350, "sequence_id": 467, "annotations": []}
{"role": "student", "content": "So first, I rewrote the numbers, so it's like more clear to see.", "session_id": 2350, "sequence_id": 468, "annotations": []}
{"role": "student", "content": "and then", "session_id": 2350, "sequence_id": 469, "annotations": []}
{"role": "student", "content": "I labeled them, so why too, which is, uh, I did 3,", "session_id": 2350, "sequence_id": 470, "annotations": []}
{"role": "student", "content": "minus 3 and then I did 0 minus 6 and then I go to", "session_id": 2350, "sequence_id": 471, "annotations": []}
{"role": "student", "content": "it.", "session_id": 2350, "sequence_id": 472, "annotations": []}
{"role": "student", "content": "-6", "session_id": 2350, "sequence_id": 473, "annotations": []}
{"role": "student", "content": "which is", "session_id": 2350, "sequence_id": 474, "annotations": []}
{"role": "student", "content": "-1", "session_id": 2350, "sequence_id": 475, "annotations": []}
{"role": "volunteer", "content": "Yup, good", "session_id": 2350, "sequence_id": 476, "annotations": []}
{"role": "student", "content": "and that", "session_id": 2350, "sequence_id": 477, "annotations": []}
{"role": "student", "content": "that's not horizontal because it's not equal to 0.", "session_id": 2350, "sequence_id": 478, "annotations": []}
{"role": "volunteer", "content": "Yes, very good. Yes, yes.", "session_id": 2350, "sequence_id": 479, "annotations": []}
{"role": "student", "content": "Part B", "session_id": 2350, "sequence_id": 480, "annotations": []}
{"role": "student", "content": "Uh", "session_id": 2350, "sequence_id": 481, "annotations": []}
{"role": "volunteer", "content": "OK. So now, calculate the slope of um uh auction B.", "session_id": 2350, "sequence_id": 482, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 2350, "sequence_id": 483, "annotations": []}
{"role": "student", "content": "Um, it's 0", "session_id": 2350, "sequence_id": 484, "annotations": []}
{"role": "student", "content": "over 4. But like, and it's equal to 0, but um, every time it's like", "session_id": 2350, "sequence_id": 485, "annotations": []}
{"role": "student", "content": "if it's 0 and then something's under it, it's always 0, right?", "session_id": 2350, "sequence_id": 486, "annotations": []}
{"role": "volunteer", "content": "Yeah, yes, good, but if it's 0 on the, OK, yeah, yeah. Basically, if it's 0 on the top", "session_id": 2350, "sequence_id": 487, "annotations": []}
{"role": "volunteer", "content": "any number, uh, on the bottom, no matter what, it's gonna equal 0. Unless, unless if it's 0 divided by 0.", "session_id": 2350, "sequence_id": 488, "annotations": []}
{"role": "student", "content": "Oh", "session_id": 2350, "sequence_id": 489, "annotations": []}
{"role": "volunteer", "content": "there's a special rule. There's many special rules. If it's anything divided by 0. When, when 0 is on the bottom part, it's called undefined, OK? That's what they call it. They say it's the fun, but you're, you might, you might not see that yet, so yeah, and 0 divided by anything is 0.", "session_id": 2350, "sequence_id": 490, "annotations": []}
{"role": "student", "content": "Yeah, um", "session_id": 2350, "sequence_id": 491, "annotations": []}
{"role": "volunteer", "content": "Yeah.", "session_id": 2350, "sequence_id": 492, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 2350, "sequence_id": 493, "annotations": []}
{"role": "student", "content": "should I so 33.", "session_id": 2350, "sequence_id": 494, "annotations": []}
{"role": "volunteer", "content": "Did you solve activity 3, in each case, yeah, OK, that it's the same thing, but sure, I mean, yeah, if you want, sure.", "session_id": 2350, "sequence_id": 495, "annotations": []}
{"role": "student", "content": "Do you still have like time", "session_id": 2350, "sequence_id": 496, "annotations": []}
{"role": "volunteer", "content": "Yeah, I know, I have time, that's fine", "session_id": 2350, "sequence_id": 497, "annotations": []}
{"role": "student", "content": "Are you like a math teacher or?", "session_id": 2350, "sequence_id": 498, "annotations": []}
{"role": "volunteer", "content": "Um, uh, I, I actually wanna be, I actually want to be, but yeah, I know, I, I want to be. I'm kind of studying to book homework, but yeah, I, I have, I have like up to, I have basically up to Calc 201, so yeah.", "session_id": 2350, "sequence_id": 499, "annotations": [{"pii_type": "COURSE", "surrogate": "Calc 201", "start": 192, "end": 200}]}
{"role": "student", "content": "help.", "session_id": 2350, "sequence_id": 500, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 2350, "sequence_id": 501, "annotations": []}
{"role": "volunteer", "content": "OK. So, yeah, dissolve and, yeah, OK. Should be good.", "session_id": 2350, "sequence_id": 502, "annotations": []}
{"role": "student", "content": "I got um 04 and that's 0. So it is horizontal for part A.", "session_id": 2350, "sequence_id": 503, "annotations": []}
{"role": "volunteer", "content": "So, uh do you use the 0s 24, and -24, is that one?", "session_id": 2350, "sequence_id": 504, "annotations": []}
{"role": "student", "content": "Yeah.", "session_id": 2350, "sequence_id": 505, "annotations": []}
{"role": "student", "content": "Oh yeah", "session_id": 2350, "sequence_id": 506, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 2350, "sequence_id": 507, "annotations": []}
{"role": "volunteer", "content": "Uh, double check. Can I, can I ask you what you did? Cause I didn't get, wait, let me, let me see, um, so, so why it's going on top? Oh yeah, no, you're right. Sorry, yeah, why is going top yeah. OK.", "session_id": 2350, "sequence_id": 508, "annotations": []}
{"role": "volunteer", "content": "Mhm. Yeah, you're right, sorry.", "session_id": 2350, "sequence_id": 509, "annotations": []}
{"role": "volunteer", "content": "OK, so, yeah, 24 and -24. The slope is 0. Yeah, you're right. OK.", "session_id": 2350, "sequence_id": 510, "annotations": []}
{"role": "volunteer", "content": "Now for B, OK, so you got that right. Now for B, just let me know what you got.", "session_id": 2350, "sequence_id": 511, "annotations": []}
{"role": "student", "content": "right", "session_id": 2350, "sequence_id": 512, "annotations": []}
{"role": "student", "content": "OK um", "session_id": 2350, "sequence_id": 513, "annotations": []}
{"role": "student", "content": "OK, so I got -1 and that's not horizontal.", "session_id": 2350, "sequence_id": 514, "annotations": []}
{"role": "volunteer", "content": "Uh yes, -1 is the right slow. Good job. OK. Yup.", "session_id": 2350, "sequence_id": 515, "annotations": []}
{"role": "volunteer", "content": "OK. So now you're at example 3.", "session_id": 2350, "sequence_id": 516, "annotations": []}
{"role": "student", "content": "Yeah.", "session_id": 2350, "sequence_id": 517, "annotations": []}
{"role": "student", "content": "that's", "session_id": 2350, "sequence_id": 518, "annotations": []}
{"role": "volunteer", "content": "Um", "session_id": 2350, "sequence_id": 519, "annotations": []}
{"role": "student", "content": "a binding the slope of an oblique line from the relation.", "session_id": 2350, "sequence_id": 520, "annotations": []}
{"role": "volunteer", "content": "Oh, OK", "session_id": 2350, "sequence_id": 521, "annotations": []}
{"role": "volunteer", "content": "Ah shoot, OK. So this is a, a new concept. OK. Right. OK, that's fine. So now I have to teach uh a new concept, so uh", "session_id": 2350, "sequence_id": 522, "annotations": []}
{"role": "volunteer", "content": "they for see when the lines are straight, whenever a line is perfectly straight", "session_id": 2350, "sequence_id": 523, "annotations": []}
{"role": "volunteer", "content": "like, um, you know, this is perfectly straight. Oh, like account from Ironing. I'm literally drawing on a finger, but you know what I mean? Like this is straight, this is straight, um, this is straight, like these are all straight lines, right?", "session_id": 2350, "sequence_id": 524, "annotations": []}
{"role": "student", "content": "Yeah.", "session_id": 2350, "sequence_id": 525, "annotations": []}
{"role": "volunteer", "content": "They call that a linear line, like line, they spell like this, Linear. They pronounce it linear, but it's spelled line A R, which just means it's a straight line, OK? John straight line", "session_id": 2350, "sequence_id": 526, "annotations": [{"pii_type": "PERSON", "surrogate": "John", "start": 167, "end": 171}]}
{"role": "volunteer", "content": "but OK. So now they say the graph of a linear relation", "session_id": 2350, "sequence_id": 527, "annotations": []}
{"role": "volunteer", "content": "of the form whoa, OK, they're overcomplicating it, but they, the formula to any line is written like this. So why?", "session_id": 2350, "sequence_id": 528, "annotations": []}
{"role": "volunteer", "content": "which just means, uh, I don't know how to explain it, but like, why it just means the graph. So Y equals that you see how your courses end.", "session_id": 2350, "sequence_id": 529, "annotations": []}
{"role": "volunteer", "content": "X", "session_id": 2350, "sequence_id": 530, "annotations": []}
{"role": "volunteer", "content": "+", "session_id": 2350, "sequence_id": 531, "annotations": []}
{"role": "volunteer", "content": "B, OK? Now, you seem, you see M right here?", "session_id": 2350, "sequence_id": 532, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 2350, "sequence_id": 533, "annotations": []}
{"role": "volunteer", "content": "Whatever you see there is a slope. So if one, if 1/3 is right behind the X, that means 1/3 is the slope. In the course,", "session_id": 2350, "sequence_id": 534, "annotations": []}
{"role": "volunteer", "content": "in the course, it says, Y equals 2 x + 10.", "session_id": 2350, "sequence_id": 535, "annotations": []}
{"role": "student", "content": "So she was", "session_id": 2350, "sequence_id": 536, "annotations": []}
{"role": "volunteer", "content": "meaning what? Yes, very good. 2 is a slope. Now, you might be wondering what is the 10? I am actually gonna, I'm gonna share a screen right now. Hold on. Alex, I'm gonna show you also my program that I'm using. It's called.", "session_id": 2350, "sequence_id": 537, "annotations": [{"pii_type": "PERSON", "surrogate": "Alex", "start": 154, "end": 158}]}
{"role": "student", "content": "then", "session_id": 2350, "sequence_id": 538, "annotations": []}
{"role": "volunteer", "content": "Yeah, I'm gonna wait, hopefully I can share a screen, uh, I accept this. OK, sure.", "session_id": 2350, "sequence_id": 539, "annotations": []}
{"role": "volunteer", "content": "OK, do you see my screen", "session_id": 2350, "sequence_id": 540, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 2350, "sequence_id": 541, "annotations": []}
{"role": "volunteer", "content": "Do you see uh what I'm typing right now.", "session_id": 2350, "sequence_id": 542, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 2350, "sequence_id": 543, "annotations": []}
{"role": "student", "content": "Yeah.", "session_id": 2350, "sequence_id": 544, "annotations": []}
{"role": "volunteer", "content": "OK, good. So Y equals MX + B. I will put 9. I will put Y equals 9 X. uh yep, y equals 9. What is my slope? What is my slope?", "session_id": 2350, "sequence_id": 545, "annotations": []}
{"role": "student", "content": "9", "session_id": 2350, "sequence_id": 546, "annotations": []}
{"role": "volunteer", "content": "Good. Now, you, you might be wondering what is the B part? Like what is plus B? where is + B, right?", "session_id": 2350, "sequence_id": 547, "annotations": []}
{"role": "volunteer", "content": "So you see how in your course it says the formula is Y equals mx + B, right?", "session_id": 2350, "sequence_id": 548, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 2350, "sequence_id": 549, "annotations": []}
{"role": "volunteer", "content": "So, N is the slope and uh let's say it's OK, in the courses they use 2. So we're gonna graph that. We're gonna put 2, but do you know what, what the why intercept is? You know what a Y intercept is or not? It's, it's OK, it's not, I will teach you in like 2 seconds.", "session_id": 2350, "sequence_id": 550, "annotations": []}
{"role": "student", "content": "Uh, that is", "session_id": 2350, "sequence_id": 551, "annotations": []}
{"role": "volunteer", "content": "Yeah, OK, it's fine. So you see in um look at uh you upchi or whatever. So you see it, the, the XY plane, they call it the XY plane, this.", "session_id": 2350, "sequence_id": 552, "annotations": []}
{"role": "volunteer", "content": "like,", "session_id": 2350, "sequence_id": 553, "annotations": []}
{"role": "volunteer", "content": "or you can look at my screen, you see this little like plus side, this big cross basically. This, you see this big cross?", "session_id": 2350, "sequence_id": 554, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 2350, "sequence_id": 555, "annotations": []}
{"role": "student", "content": "Uh", "session_id": 2350, "sequence_id": 556, "annotations": []}
{"role": "volunteer", "content": "OK. In this big cross, you see which one is the Y axis, or which one is the Y? Is it the one going from left to right? or is it the one going up and down? Which one is the Y?", "session_id": 2350, "sequence_id": 557, "annotations": []}
{"role": "student", "content": "down", "session_id": 2350, "sequence_id": 558, "annotations": []}
{"role": "volunteer", "content": "Yes, good. So when they say the Y intercept, you see this big bolded line when X is 0", "session_id": 2350, "sequence_id": 559, "annotations": []}
{"role": "volunteer", "content": "uh, this, and you have, you, when X is 0, you have this big bolded line.", "session_id": 2350, "sequence_id": 560, "annotations": []}
{"role": "volunteer", "content": "Wherever this bordered line crosses is a beat. So let's say B is 1, see how now not only, look, I'm gonna show you one thing. I have a slope of two, see? So I go down one.", "session_id": 2350, "sequence_id": 561, "annotations": []}
{"role": "volunteer", "content": "uh, I go, uh, I have two points. I have 2 points perfectly crossing the boxes. I have to go down 1.", "session_id": 2350, "sequence_id": 562, "annotations": []}
{"role": "volunteer", "content": "2.", "session_id": 2350, "sequence_id": 563, "annotations": []}
{"role": "volunteer", "content": "and then I have to go to the side one. So the slope is 2, and as you can see, see here how the slope is too. Like everything is matching together, right? You get it?", "session_id": 2350, "sequence_id": 564, "annotations": []}
{"role": "student", "content": "Yeah, she'll be wait.", "session_id": 2350, "sequence_id": 565, "annotations": []}
{"role": "volunteer", "content": "Yeah, I, I, just, just gonna recap. So all I'm saying, all I'm saying is see how when I put Y equals 2 x + 1, I get a perfect line of where the slope is to. See, down one, down 2, so it's 2, divided by and then to the side one, so the slope is definitely too, so yeah, see, whenever I put uh whenever I say hey, hey, I'm gonna put M equals 2. I, I got a perfect relationship. So now", "session_id": 2350, "sequence_id": 566, "annotations": []}
{"role": "volunteer", "content": "for the Y axis part, see how it crosses the Y-axis. I'm gonna show you something.", "session_id": 2350, "sequence_id": 567, "annotations": []}
{"role": "volunteer", "content": "I crosses Y equals m x + B. Wherever my B is, so M is 2, wherever my beat is, it crosses the y axis there. So see how it crosses this big black line in the middle, right here, at one, at 0.1.", "session_id": 2350, "sequence_id": 568, "annotations": []}
{"role": "student", "content": "Yeah.", "session_id": 2350, "sequence_id": 569, "annotations": []}
{"role": "volunteer", "content": "That means my B is one. So in your example, it says, uh, let me see what your example says. I'm gonna delete this.", "session_id": 2350, "sequence_id": 570, "annotations": []}
{"role": "volunteer", "content": "Um.", "session_id": 2350, "sequence_id": 571, "annotations": []}
{"role": "volunteer", "content": "OK. Consider the one whose equation is Y equals 2 x + 10. I wanna ask you something.", "session_id": 2350, "sequence_id": 572, "annotations": []}
{"role": "volunteer", "content": "What um", "session_id": 2350, "sequence_id": 573, "annotations": []}
{"role": "volunteer", "content": "Y equals 2 x + 10. OK. So what is the slope in that? Y equals 2 x + 1? What is the slope?", "session_id": 2350, "sequence_id": 574, "annotations": []}
{"role": "student", "content": "2", "session_id": 2350, "sequence_id": 575, "annotations": []}
{"role": "volunteer", "content": "What is the Y intercept here.", "session_id": 2350, "sequence_id": 576, "annotations": []}
{"role": "volunteer", "content": "And the equation Y equals 2 x + 10. What's the Yer set?", "session_id": 2350, "sequence_id": 577, "annotations": []}
{"role": "student", "content": "3", "session_id": 2350, "sequence_id": 578, "annotations": []}
{"role": "student", "content": "10", "session_id": 2350, "sequence_id": 579, "annotations": []}
{"role": "volunteer", "content": "Yes, very good. So, the entire equation, when you have Y equals m x + B, it's just the slope is right behind the X", "session_id": 2350, "sequence_id": 580, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 2350, "sequence_id": 581, "annotations": []}
{"role": "volunteer", "content": "and then the Y intercept is on its own. So, I want, I'm gonna ask you uh question. So if we, what is the Y intercept in this equation. Uh, I, in this equation I drew.", "session_id": 2350, "sequence_id": 582, "annotations": []}
{"role": "student", "content": "it", "session_id": 2350, "sequence_id": 583, "annotations": []}
{"role": "volunteer", "content": "uh on my screen, in the screen share.", "session_id": 2350, "sequence_id": 584, "annotations": []}
{"role": "student", "content": "a careful", "session_id": 2350, "sequence_id": 585, "annotations": []}
{"role": "volunteer", "content": "What", "session_id": 2350, "sequence_id": 586, "annotations": []}
{"role": "volunteer", "content": "Oh", "session_id": 2350, "sequence_id": 587, "annotations": []}
{"role": "student", "content": "wait, oh, YCX 45, is that it get free?", "session_id": 2350, "sequence_id": 588, "annotations": []}
{"role": "student", "content": "That stay slow", "session_id": 2350, "sequence_id": 589, "annotations": []}
{"role": "volunteer", "content": "Yeah, 3 is the slope. Now, what is a Y intercept?", "session_id": 2350, "sequence_id": 590, "annotations": []}
{"role": "student", "content": "5", "session_id": 2350, "sequence_id": 591, "annotations": []}
{"role": "volunteer", "content": "Yes, good. Now, in this, um, OK, I'm gonna actually hide. I'm gonna put 1 2nd, 1 2nd.", "session_id": 2350, "sequence_id": 592, "annotations": []}
{"role": "volunteer", "content": "So can I hide this somehow?", "session_id": 2350, "sequence_id": 593, "annotations": []}
{"role": "volunteer", "content": "OK, good. One second, I'm gonna put this.", "session_id": 2350, "sequence_id": 594, "annotations": []}
{"role": "volunteer", "content": "OK, now,", "session_id": 2350, "sequence_id": 595, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 2350, "sequence_id": 596, "annotations": []}
{"role": "volunteer", "content": "let's see.", "session_id": 2350, "sequence_id": 597, "annotations": []}
{"role": "volunteer", "content": "Can I", "session_id": 2350, "sequence_id": 598, "annotations": []}
{"role": "volunteer", "content": "OK. What is the Y intercept in this equation. The, the Y intercept. You know what?", "session_id": 2350, "sequence_id": 599, "annotations": []}
{"role": "volunteer", "content": "I, I have a, I'm giving you a line right here. OK. Now, what I want you to do.", "session_id": 2350, "sequence_id": 600, "annotations": []}
{"role": "volunteer", "content": "I want you to fir, I want, you know what?", "session_id": 2350, "sequence_id": 601, "annotations": []}
{"role": "volunteer", "content": "I want you", "session_id": 2350, "sequence_id": 602, "annotations": []}
{"role": "volunteer", "content": "to completely tell me the equation of the line. So what I'm gonna recap one thing. The linear functions are defined. This is a linear function. It's a straight line, correct? So they call a straight line a linear function, correct?", "session_id": 2350, "sequence_id": 603, "annotations": []}
{"role": "volunteer", "content": "Uh hello", "session_id": 2350, "sequence_id": 604, "annotations": []}
{"role": "student", "content": "Hello, yeah, I can hear you.", "session_id": 2350, "sequence_id": 605, "annotations": []}
{"role": "volunteer", "content": "Yeah. So, yeah, they call a straight line, a linear function, correct?", "session_id": 2350, "sequence_id": 606, "annotations": []}
{"role": "student", "content": "Yeah.", "session_id": 2350, "sequence_id": 607, "annotations": []}
{"role": "student", "content": "Yeah.", "session_id": 2350, "sequence_id": 608, "annotations": []}
{"role": "volunteer", "content": "So", "session_id": 2350, "sequence_id": 609, "annotations": []}
{"role": "volunteer", "content": "y=Emily", "session_id": 2350, "sequence_id": 610, "annotations": [{"pii_type": "PERSON", "surrogate": "Emily", "start": 2, "end": 7}]}
{"role": "volunteer", "content": "and they say the formula of the linear function is Y equals mx + B, right?", "session_id": 2350, "sequence_id": 611, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 2350, "sequence_id": 612, "annotations": []}
{"role": "volunteer", "content": "All right, great. Tell me the exact", "session_id": 2350, "sequence_id": 613, "annotations": []}
{"role": "volunteer", "content": "formula. I'm gonna do, I'm gonna draw a line. I want you to tell me the form of it.", "session_id": 2350, "sequence_id": 614, "annotations": []}
{"role": "volunteer", "content": "So let's see, um.", "session_id": 2350, "sequence_id": 615, "annotations": []}
{"role": "volunteer", "content": "OK, I want you to tell me the formula of", "session_id": 2350, "sequence_id": 616, "annotations": []}
{"role": "volunteer", "content": "this uh actually you know.", "session_id": 2350, "sequence_id": 617, "annotations": []}
{"role": "volunteer", "content": "One second, you know, I want you to tell me the formula of this one, but I want you to tell me how you got it, OK? How you got it. So, you know what, I'll take a screenshot of it and I'll paste it in UP chief, so you can uh tell me how you would do it, OK?", "session_id": 2350, "sequence_id": 618, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 2350, "sequence_id": 619, "annotations": []}
{"role": "volunteer", "content": "OK. If you can do this, that means you fully mastered the topic, OK?", "session_id": 2350, "sequence_id": 620, "annotations": []}
{"role": "volunteer", "content": "Um, uh, but, you know, mastering a topic is pretty difficult, but, OK.", "session_id": 2350, "sequence_id": 621, "annotations": []}
{"role": "volunteer", "content": "Here, I will, uh, one second, I need to change a few settings. Uh, I'm actually gonna stop screeching, so bam I'm gone.", "session_id": 2350, "sequence_id": 622, "annotations": []}
{"role": "student", "content": "Oh", "session_id": 2350, "sequence_id": 623, "annotations": []}
{"role": "volunteer", "content": "Now I have my graph here. I'm gonna post.", "session_id": 2350, "sequence_id": 624, "annotations": []}
{"role": "volunteer", "content": "OK, move. How would you solve", "session_id": 2350, "sequence_id": 625, "annotations": []}
{"role": "volunteer", "content": "for this one? First, let me see. Is this possible? Yes, it's possible. OK. How would you so for you, I want you to tell me the formal of the line. So I'll give you a hint. Y equals MX + B, OK? Yeah, uh, I want you to tell me the formula of the line. So, in my program, all I did, I entered the equation of Y equals x + B, but instead of NX + B, I give a specific numbers. I want you to basically guess the numbers I put, so yeah.", "session_id": 2350, "sequence_id": 626, "annotations": []}
{"role": "volunteer", "content": "Y equals NX + B", "session_id": 2350, "sequence_id": 627, "annotations": []}
{"role": "volunteer", "content": "All right, I'm gonna give you my only hint is obviously the formula since it's a straight line, it's Y equals x + B.", "session_id": 2350, "sequence_id": 628, "annotations": []}
{"role": "volunteer", "content": "Go ahead and try to solve this, OK?", "session_id": 2350, "sequence_id": 629, "annotations": []}
{"role": "student", "content": "Oh.", "session_id": 2350, "sequence_id": 630, "annotations": []}
{"role": "volunteer", "content": "OK.", "session_id": 2350, "sequence_id": 631, "annotations": []}
{"role": "volunteer", "content": "Let me know um if you need help. Yeah, let me know if you need anything. If you want, I can give you small hints. So if", "session_id": 2350, "sequence_id": 632, "annotations": []}
{"role": "student", "content": "they have", "session_id": 2350, "sequence_id": 633, "annotations": []}
{"role": "student", "content": "do I find like well", "session_id": 2350, "sequence_id": 634, "annotations": []}
{"role": "volunteer", "content": "the happy", "session_id": 2350, "sequence_id": 635, "annotations": []}
{"role": "student", "content": "coordinate", "session_id": 2350, "sequence_id": 636, "annotations": []}
{"role": "volunteer", "content": "So, OK, how do you find the slope? Well, there's 2, well, there's two ways. One, the little drop down method like 12.", "session_id": 2350, "sequence_id": 637, "annotations": []}
{"role": "student", "content": "Yeah, but, um, where's like the coordinate, like the point.", "session_id": 2350, "sequence_id": 638, "annotations": []}
{"role": "volunteer", "content": "OK, if you don't wanna do the dropdown methods, let's say you want to double check.", "session_id": 2350, "sequence_id": 639, "annotations": []}
{"role": "volunteer", "content": "Sometimes, you're not exactly given corner. So you have to do, you will have to locate corners, OK, locate corners, so it's", "session_id": 2350, "sequence_id": 640, "annotations": []}
{"role": "student", "content": "I can use like my own points.", "session_id": 2350, "sequence_id": 641, "annotations": []}
{"role": "student", "content": "Yeah.", "session_id": 2350, "sequence_id": 642, "annotations": []}
{"role": "volunteer", "content": "yeah, you can choose, you can literally choose any point on the graph, except it has to cross a corner, OK? It has to cross a corner, but yes, you can use your own points, OK?", "session_id": 2350, "sequence_id": 643, "annotations": []}
{"role": "volunteer", "content": "So, you should definitely be getting the slope right, OK? Cause you have one, you have the dropdown method, and 2, you have the formula. So you choose your own points, you cho you, the most important thing, choose the correct corners and then you're fine, OK? You should definitely be getting the slow part right. So yeah, just do it really quick.", "session_id": 2350, "sequence_id": 644, "annotations": []}
{"role": "volunteer", "content": "Let me know if you need more help", "session_id": 2350, "sequence_id": 645, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 2350, "sequence_id": 646, "annotations": []}
{"role": "student", "content": "Is it 2? The slope is 2.", "session_id": 2350, "sequence_id": 647, "annotations": []}
{"role": "volunteer", "content": "Uh, can you tell me how you got, can you tell me how you got it? Uh, I wanna just see.", "session_id": 2350, "sequence_id": 648, "annotations": []}
{"role": "student", "content": "I located", "session_id": 2350, "sequence_id": 649, "annotations": []}
{"role": "student", "content": "-1", "session_id": 2350, "sequence_id": 650, "annotations": []}
{"role": "student", "content": "and then 2", "session_id": 2350, "sequence_id": 651, "annotations": []}
{"role": "student", "content": "0.", "session_id": 2350, "sequence_id": 652, "annotations": []}
{"role": "student", "content": "and then 0", "session_id": 2350, "sequence_id": 653, "annotations": []}
{"role": "volunteer", "content": "OK. I, I, oh, very good. Wait, let me just write that down. -1 and 2, OK. Yes, you.", "session_id": 2350, "sequence_id": 654, "annotations": []}
{"role": "student", "content": "4", "session_id": 2350, "sequence_id": 655, "annotations": []}
{"role": "volunteer", "content": "0 and 4.", "session_id": 2350, "sequence_id": 656, "annotations": []}
{"role": "volunteer", "content": "0 and 4. So, the good news is", "session_id": 2350, "sequence_id": 657, "annotations": []}
{"role": "volunteer", "content": "um, wait, yeah, you located", "session_id": 2350, "sequence_id": 658, "annotations": []}
{"role": "volunteer", "content": "OK, very good. You located the right ones. Good.", "session_id": 2350, "sequence_id": 659, "annotations": []}
{"role": "volunteer", "content": "So", "session_id": 2350, "sequence_id": 660, "annotations": []}
{"role": "volunteer", "content": "now", "session_id": 2350, "sequence_id": 661, "annotations": []}
{"role": "volunteer", "content": "oh, OK, yeah, so nice, you got it. OK, nice. You, you got it. That's great. So, yeah, OK, great. Now what, now what is a B? So you got a slope, sure, what is B? What is B in this one?", "session_id": 2350, "sequence_id": 662, "annotations": []}
{"role": "student", "content": "Um", "session_id": 2350, "sequence_id": 663, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 2350, "sequence_id": 664, "annotations": []}
{"role": "student", "content": "That's kind of hard.", "session_id": 2350, "sequence_id": 665, "annotations": []}
{"role": "student", "content": "OK", "session_id": 2350, "sequence_id": 666, "annotations": []}
{"role": "student", "content": "Is it a", "session_id": 2350, "sequence_id": 667, "annotations": []}
{"role": "volunteer", "content": "Wait, what did you say? Is it what?", "session_id": 2350, "sequence_id": 668, "annotations": []}
{"role": "student", "content": "I'm kind of confused.", "session_id": 2350, "sequence_id": 669, "annotations": []}
{"role": "volunteer", "content": "OK, look, for finding B, all it is, you see this little big bold line, it's just 4. like it's just wherever it crosses a y-axis.", "session_id": 2350, "sequence_id": 670, "annotations": []}
{"role": "volunteer", "content": "Wherever the line crosses the y axis, it's the Y intercept, OK? Do you get it?", "session_id": 2350, "sequence_id": 671, "annotations": []}
{"role": "student", "content": "What do you mean cross", "session_id": 2350, "sequence_id": 672, "annotations": []}
{"role": "volunteer", "content": "Oh, OK, look, I'm gonna share the screen again and you're gonna get it. I'm gonna give you so many examples you're gonna get, all right? Look, I, I want you to see the pattern, OK? Olivia. I'm gonna open demos. OK, so I have, look at my screen share, Y equals 3 X + 4. So just a reminder, what is the slope in this one? What is the slope?", "session_id": 2350, "sequence_id": 673, "annotations": [{"pii_type": "PERSON", "surrogate": "Olivia", "start": 181, "end": 187}]}
{"role": "student", "content": "say?", "session_id": 2350, "sequence_id": 674, "annotations": []}
{"role": "volunteer", "content": "3?", "session_id": 2350, "sequence_id": 675, "annotations": []}
{"role": "student", "content": "3, yeah", "session_id": 2350, "sequence_id": 676, "annotations": []}
{"role": "volunteer", "content": "What is the winner? Uh, I do use, I give you this time. It's right here. So where's the wire and stuff.", "session_id": 2350, "sequence_id": 677, "annotations": []}
{"role": "student", "content": "4", "session_id": 2350, "sequence_id": 678, "annotations": []}
{"role": "volunteer", "content": "Yeah, but let's say, in the question I just gave you, for example, the one where you find the slope was too. I can give you, I, I didn't tell you what B was. I told you to find B yourself. See, it's right here. It crosses the Y-axis at 4. So let's say it's 5 now, let's say it's 5. See, it crosses the axis at 5. Now, let me put it out one, now we'll cross it at one. I'll.", "session_id": 2350, "sequence_id": 679, "annotations": []}
{"role": "student", "content": "uh", "session_id": 2350, "sequence_id": 680, "annotations": []}
{"role": "volunteer", "content": "I'll put it online. That's how it works. Now you get it, right? 3. Now I put it at 2.", "session_id": 2350, "sequence_id": 681, "annotations": []}
{"role": "volunteer", "content": "Oh wait, sorry, I'll put out tuna", "session_id": 2350, "sequence_id": 682, "annotations": []}
{"role": "volunteer", "content": "Bam, there you go. So now, if I go back to this question, what is a winner?", "session_id": 2350, "sequence_id": 683, "annotations": []}
{"role": "student", "content": "wait, let me see, um, 4.", "session_id": 2350, "sequence_id": 684, "annotations": []}
{"role": "volunteer", "content": "Very good. So now you have the formula was Y equals 2 x + 4, which is what I put. So now you have it. So now we could go back to the activity. But now the, the thing is you're, you're better than the activity like.", "session_id": 2350, "sequence_id": 685, "annotations": []}
{"role": "volunteer", "content": "I don't know how to explain it, but you're, you're too Bio 101, like, you know, you already know what it's teaching, but sure, OK, try. You just yeah.", "session_id": 2350, "sequence_id": 686, "annotations": [{"pii_type": "COURSE", "surrogate": "Bio 101", "start": 55, "end": 62}]}
{"role": "volunteer", "content": "So it says consider the line whose equation is Y equals to x + 10, which means the slope is 2, and the line intercept is 10, finds 3 points that belong to them in the line and use them in pairs.", "session_id": 2350, "sequence_id": 687, "annotations": []}
{"role": "volunteer", "content": "to find the slope 3 times.", "session_id": 2350, "sequence_id": 688, "annotations": []}
{"role": "volunteer", "content": "OK. So 53 points that belong to the line and use them in the pairs to find the slope 3 times, ha.", "session_id": 2350, "sequence_id": 689, "annotations": []}
{"role": "volunteer", "content": "Whoa, whoa, I don't know what that.", "session_id": 2350, "sequence_id": 690, "annotations": []}
{"role": "volunteer", "content": "really means about, oh, I get it, OK.", "session_id": 2350, "sequence_id": 691, "annotations": []}
{"role": "volunteer", "content": "find 3 points and use them in pairs to find the slope 3 times.", "session_id": 2350, "sequence_id": 692, "annotations": []}
{"role": "volunteer", "content": "Right, OK.", "session_id": 2350, "sequence_id": 693, "annotations": []}
{"role": "volunteer", "content": "So look, I'm gonna teach you one last thing, and then you fully mastered it. OK.", "session_id": 2350, "sequence_id": 694, "annotations": []}
{"role": "volunteer", "content": "Wow, this is like teachers really usually save this for last.", "session_id": 2350, "sequence_id": 695, "annotations": []}
{"role": "volunteer", "content": "but your course brought it in the middle, but OK. Uh, this is pretty much the last thing you need though. Do you still see my screen?", "session_id": 2350, "sequence_id": 696, "annotations": []}
{"role": "student", "content": "Yeah, I still see", "session_id": 2350, "sequence_id": 697, "annotations": []}
{"role": "volunteer", "content": "Yeah, so", "session_id": 2350, "sequence_id": 698, "annotations": []}
{"role": "volunteer", "content": "here, wherever it crosses the corner of the bus. So, it crosses a corner of the box right here.", "session_id": 2350, "sequence_id": 699, "annotations": []}
{"role": "volunteer", "content": "or yeah, right here", "session_id": 2350, "sequence_id": 700, "annotations": []}
{"role": "volunteer", "content": "So right here where it crosses the corner of the box. It says, What is my X cordate and what is my Y cordinate?", "session_id": 2350, "sequence_id": 701, "annotations": []}
{"role": "student", "content": "X corner. Wait", "session_id": 2350, "sequence_id": 702, "annotations": []}
{"role": "student", "content": "the X", "session_id": 2350, "sequence_id": 703, "annotations": []}
{"role": "volunteer", "content": "Yeah, where's my S coordinate here? The, I, I highlighted the", "session_id": 2350, "sequence_id": 704, "annotations": []}
{"role": "student", "content": "The 0.4", "session_id": 2350, "sequence_id": 705, "annotations": []}
{"role": "volunteer", "content": "4. Good. So you're saying X is -4.", "session_id": 2350, "sequence_id": 706, "annotations": []}
{"role": "volunteer", "content": "And uh X equals -4. OK, yeah. So my ex cornea here is X equals -4. And my wife when has uh is, where's my wife y-coordinate and the point I just highlighted.", "session_id": 2350, "sequence_id": 707, "annotations": []}
{"role": "student", "content": "Why coney um 2.", "session_id": 2350, "sequence_id": 708, "annotations": []}
{"role": "volunteer", "content": "So now we have the Cornet X equals -4 and Y equals 2. This", "session_id": 2350, "sequence_id": 709, "annotations": []}
{"role": "volunteer", "content": "Now, this cornet is located, let's say you had a question like, oh, the line is Y equals 2 x + 10.", "session_id": 2350, "sequence_id": 710, "annotations": []}
{"role": "volunteer", "content": "Is the coordinate minus 42, located on this line.", "session_id": 2350, "sequence_id": 711, "annotations": []}
{"role": "volunteer", "content": "Is it?", "session_id": 2350, "sequence_id": 712, "annotations": []}
{"role": "student", "content": "Wait", "session_id": 2350, "sequence_id": 713, "annotations": []}
{"role": "student", "content": "why", "session_id": 2350, "sequence_id": 714, "annotations": []}
{"role": "volunteer", "content": "Uh, I'm asking you, uh, it's actually a quite a simple question. Uh, I'm telling you, the line is 2 x + 10, which I drew, is a coronet-42 on this line.", "session_id": 2350, "sequence_id": 715, "annotations": []}
{"role": "student", "content": "let me just see.", "session_id": 2350, "sequence_id": 716, "annotations": []}
{"role": "student", "content": "Yeah.", "session_id": 2350, "sequence_id": 717, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 2350, "sequence_id": 718, "annotations": []}
{"role": "student", "content": "is it? Yeah", "session_id": 2350, "sequence_id": 719, "annotations": []}
{"role": "volunteer", "content": "you were able to tell because you have the line. But now, what if I completely remove this slam. You might say, well, isn't that like impossible to tell. Well, look, here's how you would do it. You'd plug in", "session_id": 2350, "sequence_id": 720, "annotations": []}
{"role": "volunteer", "content": "you'd have to do this. Let's say you have this line and you're given. It's -42 on this line. You'd have to rewrite. First, the Y coordinate here is 2, right?", "session_id": 2350, "sequence_id": 721, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 2350, "sequence_id": 722, "annotations": []}
{"role": "volunteer", "content": "OK. So you see how it says Y equals. I'm gonna replace the Y by 2. Now 2 equals 2 x + 10. Now, uh, uh, what do you think the next step is? Well, replaces.", "session_id": 2350, "sequence_id": 723, "annotations": []}
{"role": "student", "content": "I'm 94.", "session_id": 2350, "sequence_id": 724, "annotations": []}
{"role": "volunteer", "content": "Yes, now we replace it by -4. Now, as we can see, 2 times 4 is -8. 8 + 10 is 2. So see how both sides equal each other. That means this point is on this line, OK?", "session_id": 2350, "sequence_id": 725, "annotations": []}
{"role": "volunteer", "content": "Now, going back to your question,", "session_id": 2350, "sequence_id": 726, "annotations": []}
{"role": "volunteer", "content": "what they wanted you to do for whose equation is Y equals 2 x + 10. They want you to find 3 points, OK, they gave you 3 points, but what I want you to do, find 3 points on this line. How I'd recommend for you to do that. Plug in a random number for X. Let's say you plug in one. Plug in 1 for X, see what the Y value gives you. And then when the Y value gives you, that's the point number one, OK? So find", "session_id": 2350, "sequence_id": 727, "annotations": []}
{"role": "volunteer", "content": "3 points on the line of 2 x + 10, OK? Fi 3 points.", "session_id": 2350, "sequence_id": 728, "annotations": []}
{"role": "volunteer", "content": "I'll give you", "session_id": 2350, "sequence_id": 729, "annotations": []}
{"role": "volunteer", "content": "I'll give you 2, I'll give you 3 minutes, and once you find 3 points, tell me how you did it, OK?", "session_id": 2350, "sequence_id": 730, "annotations": []}
{"role": "student", "content": "OK", "session_id": 2350, "sequence_id": 731, "annotations": []}
{"role": "student", "content": "Um, they're all equal to 2, so the slope is like.", "session_id": 2350, "sequence_id": 732, "annotations": []}
{"role": "student", "content": "a block.", "session_id": 2350, "sequence_id": 733, "annotations": []}
{"role": "volunteer", "content": "Yeah, the", "session_id": 2350, "sequence_id": 734, "annotations": []}
{"role": "student", "content": "yeah.", "session_id": 2350, "sequence_id": 735, "annotations": []}
{"role": "volunteer", "content": "OK, yeah, but what points did you find that on the line? Do you know how to, how would, yeah, uh, what points did you?", "session_id": 2350, "sequence_id": 736, "annotations": []}
{"role": "student", "content": "So first I did 0 and 10 and 1 and 8.", "session_id": 2350, "sequence_id": 737, "annotations": []}
{"role": "student", "content": "-1 and 8", "session_id": 2350, "sequence_id": 738, "annotations": []}
{"role": "volunteer", "content": "OK. Uh, OK, sure. Yeah, a third point. OK, get a 3rd.", "session_id": 2350, "sequence_id": 739, "annotations": []}
{"role": "student", "content": "I think 8 minus 10, which is -3, and then I did", "session_id": 2350, "sequence_id": 740, "annotations": []}
{"role": "student", "content": "um", "session_id": 2350, "sequence_id": 741, "annotations": []}
{"role": "student", "content": "negative 1 minus 0, which is -1 and then", "session_id": 2350, "sequence_id": 742, "annotations": []}
{"role": "student", "content": "divided by -1, not 2.", "session_id": 2350, "sequence_id": 743, "annotations": []}
{"role": "volunteer", "content": "Yeah, OK, good, good. OK. Can you find me a point on this. Can you find me? A point on this one that's not shown on the example, OK? Find me a point on the line that's not shown in the example.", "session_id": 2350, "sequence_id": 744, "annotations": []}
{"role": "student", "content": "Wait, what", "session_id": 2350, "sequence_id": 745, "annotations": []}
{"role": "volunteer", "content": "Um, find me a point that's located on this line of 2 x + 10", "session_id": 2350, "sequence_id": 746, "annotations": []}
{"role": "volunteer", "content": "that isn't shown in the example, so you can't use these three points. Tell me, another point located on the line.", "session_id": 2350, "sequence_id": 747, "annotations": []}
{"role": "student", "content": "Oh, OK", "session_id": 2350, "sequence_id": 748, "annotations": []}
{"role": "student", "content": "Do I have to like guess?", "session_id": 2350, "sequence_id": 749, "annotations": []}
{"role": "volunteer", "content": "Uh for this one, if I were you, I'd just plug in a random number for X, like let's say plugin 2 and then whatever Y value I get, so I plug in 2 for X, I will get, I, I just hope that I'll understand, OK? If I do that, then I know this is a point on the line, OK? But that's how you determine, uh, just a random one. So that's all this exercise wants you to do is find the point on the line, which you can do by plugging in", "session_id": 2350, "sequence_id": 750, "annotations": []}
{"role": "volunteer", "content": "any, I'm not even exaggerating. You can plug in any number for X, solve for the Y, and that's the point on the line, OK? You can plug in literally any number pricks. So all I did, uh, all the exercise wanted you to do is plug in um a number for X, like they just wanted you to find 3 points. How do you find the 3 points? Plugging in 3 different numbers for X, solving for the wise, and then those are your three points. And then make sure", "session_id": 2350, "sequence_id": 751, "annotations": []}
{"role": "volunteer", "content": "you have 3 correct points by finding the slope between each of the points.", "session_id": 2350, "sequence_id": 752, "annotations": []}
{"role": "volunteer", "content": "OK, that's all they wanted you to do. So yeah, do you, do you get everything?", "session_id": 2350, "sequence_id": 753, "annotations": []}
{"role": "student", "content": "Yeah.", "session_id": 2350, "sequence_id": 754, "annotations": []}
{"role": "volunteer", "content": "OK, good. So, do you have any more or is that a?", "session_id": 2350, "sequence_id": 755, "annotations": []}
{"role": "student", "content": "Um, I don't think they're really gonna ask like about that though, like guessing the slope.", "session_id": 2350, "sequence_id": 756, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 2350, "sequence_id": 757, "annotations": []}
{"role": "student", "content": "like guessing the equip like the points.", "session_id": 2350, "sequence_id": 758, "annotations": []}
{"role": "volunteer", "content": "I mean, uh, now that you know how to do it, I mean, just better safe than sorry. I mean, look, this is what they just did is a fun, well, they just ask you to find 3 points. So like, look, if you didn't have a solution, and that I'm gonna cross out the solution. Read the example. It literally tells you to find 3 points that belong to the line. In that case, all you have to do is guess a question is guess a number per X, I mean, well, they did just quiz you", "session_id": 2350, "sequence_id": 759, "annotations": []}
{"role": "volunteer", "content": "on, so yeah", "session_id": 2350, "sequence_id": 760, "annotations": []}
{"role": "student", "content": "So", "session_id": 2350, "sequence_id": 761, "annotations": []}
{"role": "volunteer", "content": "That's", "session_id": 2350, "sequence_id": 762, "annotations": []}
{"role": "student", "content": "I could use like whatever number.", "session_id": 2350, "sequence_id": 763, "annotations": []}
{"role": "volunteer", "content": "Yeah, you could use whatever number for X, and so for the Y. OK, say a random number. Say a random number.", "session_id": 2350, "sequence_id": 764, "annotations": []}
{"role": "student", "content": "OK, I can do that. I can find 3 points.", "session_id": 2350, "sequence_id": 765, "annotations": []}
{"role": "volunteer", "content": "OK, that, yeah, try", "session_id": 2350, "sequence_id": 766, "annotations": []}
{"role": "student", "content": "That it makes sense to say uh 10, and I did -10 and 1 for x, and then I'll just plug that in, -2 + 10, which is", "session_id": 2350, "sequence_id": 767, "annotations": []}
{"role": "student", "content": "uh 8", "session_id": 2350, "sequence_id": 768, "annotations": []}
{"role": "student", "content": "and then", "session_id": 2350, "sequence_id": 769, "annotations": []}
{"role": "volunteer", "content": "Yeah, can you plug in, can you plug in 3 fres? I see, can you plug in 3 racks?", "session_id": 2350, "sequence_id": 770, "annotations": []}
{"role": "student", "content": "3, OK", "session_id": 2350, "sequence_id": 771, "annotations": []}
{"role": "student", "content": "Wouldn't that be 16?", "session_id": 2350, "sequence_id": 772, "annotations": []}
{"role": "student", "content": "Yeah.", "session_id": 2350, "sequence_id": 773, "annotations": []}
{"role": "student", "content": "Could we take", "session_id": 2350, "sequence_id": 774, "annotations": []}
{"role": "volunteer", "content": "Yes, you would get the 16. Phys 200 is a point on this line. Now, uh, yeah, that's it. That's all they want you to do, OK? Yeah, you can see any points. OK. All right.", "session_id": 2350, "sequence_id": 775, "annotations": [{"pii_type": "COURSE", "surrogate": "Phys 200", "start": 27, "end": 35}]}
{"role": "student", "content": "activity?", "session_id": 2350, "sequence_id": 776, "annotations": []}
{"role": "volunteer", "content": "so we do that the knee, yeah, sure. Uh, I don't see it, but yeah, just send the Ensure.", "session_id": 2350, "sequence_id": 777, "annotations": []}
{"role": "student", "content": "Wait, you still have time, right?", "session_id": 2350, "sequence_id": 778, "annotations": []}
{"role": "volunteer", "content": "Yeah, yeah, so, uh, I still have, yeah, yeah, I still have time. Mhm.", "session_id": 2350, "sequence_id": 779, "annotations": []}
{"role": "volunteer", "content": "Uh, it says that failed top. I don't know why. Oh, no, I see, I see, I see. OK. I see it", "session_id": 2350, "sequence_id": 780, "annotations": []}
{"role": "volunteer", "content": "OK. Uh,", "session_id": 2350, "sequence_id": 781, "annotations": []}
{"role": "volunteer", "content": "OK, yeah, they just do actively number 4. It's the same thing. All right, yup.", "session_id": 2350, "sequence_id": 782, "annotations": []}
{"role": "student", "content": "So I'll just do for X, I'll just like great.", "session_id": 2350, "sequence_id": 783, "annotations": []}
{"role": "student", "content": "on -10 and 1, cause that's really easy to.", "session_id": 2350, "sequence_id": 784, "annotations": []}
{"role": "volunteer", "content": "Yeah, that's, those are the easiest ones, yeah, the drop.", "session_id": 2350, "sequence_id": 785, "annotations": []}
{"role": "student", "content": "And then that would be uh", "session_id": 2350, "sequence_id": 786, "annotations": []}
{"role": "student", "content": "so for -1, why would be 11?", "session_id": 2350, "sequence_id": 787, "annotations": []}
{"role": "volunteer", "content": "Yeah, good job. Keep going.", "session_id": 2350, "sequence_id": 788, "annotations": []}
{"role": "student", "content": "And then for 0, it would be", "session_id": 2350, "sequence_id": 789, "annotations": []}
{"role": "volunteer", "content": "Yup", "session_id": 2350, "sequence_id": 790, "annotations": []}
{"role": "student", "content": "and then for 10, uh for 1, it would be, wait.", "session_id": 2350, "sequence_id": 791, "annotations": []}
{"role": "student", "content": "31", "session_id": 2350, "sequence_id": 792, "annotations": []}
{"role": "student", "content": "Yeah.", "session_id": 2350, "sequence_id": 793, "annotations": []}
{"role": "volunteer", "content": "Yeah, and then when they say find the slope 3 times, all they're asking, so you have 3 points, right? They want you to find the slope between two of the points, then two of the other points, and then you should get 10 every time between the slope, but if you want, yeah, OK, you don't have to do that because you know how, um, OK, consider the line whose equation is Y equals -2. OK.", "session_id": 2350, "sequence_id": 794, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 2350, "sequence_id": 795, "annotations": []}
{"role": "volunteer", "content": "Oh, I get it. Uh, that's, OK.", "session_id": 2350, "sequence_id": 796, "annotations": []}
{"role": "volunteer", "content": "OK. So you know the formula, Y equals mx + B.", "session_id": 2350, "sequence_id": 797, "annotations": []}
{"role": "student", "content": "Yeah, I remember that, yeah.", "session_id": 2350, "sequence_id": 798, "annotations": []}
{"role": "volunteer", "content": "OK, so here you only have, you only have the B, look", "session_id": 2350, "sequence_id": 799, "annotations": []}
{"role": "volunteer", "content": "uh, in example, an example, wow, they keep, they, the course is not the best, but you see it, they teach you, uh, they only give you the B, right? They only give you -2. Well, it's because the slope is zero. Let's say I put 0 for M. Well, 0 times X is just 0. So it cancels it out. Now, you only have Y minus 2. So that's why, so when you have Y minus 2, it's uh what type of one? It's a vertical or horizontal?", "session_id": 2350, "sequence_id": 800, "annotations": []}
{"role": "student", "content": "Wait, what", "session_id": 2350, "sequence_id": 801, "annotations": []}
{"role": "student", "content": "Yeah.", "session_id": 2350, "sequence_id": 802, "annotations": []}
{"role": "volunteer", "content": "OK, look, so you see when you only have 1 minus 2 and there's no X. Well, there's no X.", "session_id": 2350, "sequence_id": 803, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 2350, "sequence_id": 804, "annotations": []}
{"role": "volunteer", "content": "That means there's no slope. There's, that means that not, not there's no slope, but it means that the slope is zero. And do you know why it means that? I can tell you why", "session_id": 2350, "sequence_id": 805, "annotations": []}
{"role": "volunteer", "content": "because it means that because, look, if I plug in 0 for M, it'll cancel out the X. So look, let's, I, I'm, I'm, I wrote something down. Y equals MX", "session_id": 2350, "sequence_id": 806, "annotations": []}
{"role": "student", "content": "Yeah.", "session_id": 2350, "sequence_id": 807, "annotations": []}
{"role": "volunteer", "content": "minus 2. If I were a plug in 0 for m which happens here, 0 times X is just 0.", "session_id": 2350, "sequence_id": 808, "annotations": []}
{"role": "volunteer", "content": "So yeah, 0 minus 2 is -2. Then you have Y equals -2. So whenever you see something like this, that means that the slope is 0, OK?", "session_id": 2350, "sequence_id": 809, "annotations": []}
{"role": "volunteer", "content": "And if the slope is zero, meaning the steepness is 0 and that the steepness is 0, that means it's horizontal. It's flat, OK?", "session_id": 2350, "sequence_id": 810, "annotations": []}
{"role": "student", "content": "So I could like pick random numbers.", "session_id": 2350, "sequence_id": 811, "annotations": []}
{"role": "volunteer", "content": "Uh, yeah, I mean, yeah. So just find 2 points that belong to this horizontal line.", "session_id": 2350, "sequence_id": 812, "annotations": []}
{"role": "student", "content": "um", "session_id": 2350, "sequence_id": 813, "annotations": []}
{"role": "student", "content": "Yeah.", "session_id": 2350, "sequence_id": 814, "annotations": []}
{"role": "volunteer", "content": "Yeah, and just remember, the formula is Y equals m x + B, which is Y equals 0 x minus 2. So yeah, that's uh how you would do it. If you want, I can, you know what, should I solve this? I'm gonna solve this one for you because after the activity class is the same thing. So they will, OK, example 4, they want", "session_id": 2350, "sequence_id": 815, "annotations": []}
{"role": "volunteer", "content": "2 points, and they won the slope. We already know the slope. Since there's no, if there's no X, that means the slope is zero, OK?", "session_id": 2350, "sequence_id": 816, "annotations": []}
{"role": "student", "content": "OK", "session_id": 2350, "sequence_id": 817, "annotations": []}
{"role": "volunteer", "content": "So we already know, we have half of the problem done. Now they want 2 points, so we know the formula is Y equals 0 x minus 2, right?", "session_id": 2350, "sequence_id": 818, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 2350, "sequence_id": 819, "annotations": []}
{"role": "student", "content": "Yeah.", "session_id": 2350, "sequence_id": 820, "annotations": []}
{"role": "volunteer", "content": "So if it's that, well, I'm gonna plug in.", "session_id": 2350, "sequence_id": 821, "annotations": []}
{"role": "student", "content": "OK", "session_id": 2350, "sequence_id": 822, "annotations": []}
{"role": "volunteer", "content": "I'm gonna plug in one for X and 0 for X. I plug in 1 for X, 0 times 1 is 0. So Y is -2. So, one point is 1 minus 2. Now,", "session_id": 2350, "sequence_id": 823, "annotations": []}
{"role": "student", "content": "is", "session_id": 2350, "sequence_id": 824, "annotations": []}
{"role": "student", "content": "like", "session_id": 2350, "sequence_id": 825, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 2350, "sequence_id": 826, "annotations": []}
{"role": "student", "content": "like", "session_id": 2350, "sequence_id": 827, "annotations": []}
{"role": "volunteer", "content": "So sorry", "session_id": 2350, "sequence_id": 828, "annotations": []}
{"role": "student", "content": "why is why is like on the other side.", "session_id": 2350, "sequence_id": 829, "annotations": []}
{"role": "volunteer", "content": "Yeah, but look, if I plug in one for X, if I plug in 1 for X, I get 1 times 0, which is 00 minus 2 is Y equals -2, which gives me 1 minus 2. I just found a point.", "session_id": 2350, "sequence_id": 830, "annotations": []}
{"role": "student", "content": "Oh.", "session_id": 2350, "sequence_id": 831, "annotations": []}
{"role": "volunteer", "content": "OK. Now I plug in 0 for X, 0 times 00 minus 2. So now, another point is 0 minus 2.", "session_id": 2350, "sequence_id": 832, "annotations": []}
{"role": "volunteer", "content": "So this is how you do it. And I'm gonna, you know, I'm gonna share a screen and show you my little program so you can see what I mean. So look, you basically have this. These are the, OK, do you see my screen?", "session_id": 2350, "sequence_id": 833, "annotations": []}
{"role": "student", "content": "Yeah.", "session_id": 2350, "sequence_id": 834, "annotations": []}
{"role": "volunteer", "content": "You have Y is -2, and look, it's horizontal and it's the same thing as writing.", "session_id": 2350, "sequence_id": 835, "annotations": []}
{"role": "volunteer", "content": "Y minus 2 and Y equals 0 x minus 2. See, they're the exact same thing. They're the exact same line.", "session_id": 2350, "sequence_id": 836, "annotations": []}
{"role": "volunteer", "content": "0X minus 2, there's the exact same one, right? So", "session_id": 2350, "sequence_id": 837, "annotations": []}
{"role": "volunteer", "content": "not only, so yeah, that's it. And I, I just said, oh, I have 2 points on this line, 0 minus 2, and", "session_id": 2350, "sequence_id": 838, "annotations": []}
{"role": "volunteer", "content": "let's see", "session_id": 2350, "sequence_id": 839, "annotations": []}
{"role": "volunteer", "content": "1 minus 2. See, these are all, uh, that's, these are two points on this line, OK?", "session_id": 2350, "sequence_id": 840, "annotations": []}
{"role": "student", "content": "Hmm, OK", "session_id": 2350, "sequence_id": 841, "annotations": []}
{"role": "volunteer", "content": "Why, try the next one on your own. So, I'll give you a, do you want a tiny, tiny hint?", "session_id": 2350, "sequence_id": 842, "annotations": []}
{"role": "volunteer", "content": "or do you want uh completely on your own?", "session_id": 2350, "sequence_id": 843, "annotations": []}
{"role": "student", "content": "Which question?", "session_id": 2350, "sequence_id": 844, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 2350, "sequence_id": 845, "annotations": []}
{"role": "volunteer", "content": "After 55, at 55, it's the same thing as exemption.", "session_id": 2350, "sequence_id": 846, "annotations": []}
{"role": "student", "content": "I", "session_id": 2350, "sequence_id": 847, "annotations": []}
{"role": "volunteer", "content": "You know what, yeah, that activity 5 on your own. It's a, it's the exact same thing as example for, OK? Yeah.", "session_id": 2350, "sequence_id": 848, "annotations": []}
{"role": "student", "content": "why is the", "session_id": 2350, "sequence_id": 849, "annotations": []}
{"role": "student", "content": "M X", "session_id": 2350, "sequence_id": 850, "annotations": []}
{"role": "student", "content": "uh", "session_id": 2350, "sequence_id": 851, "annotations": []}
{"role": "student", "content": "minus 3.", "session_id": 2350, "sequence_id": 852, "annotations": []}
{"role": "student", "content": "plus minus 5, and that's just why he put to explain is fine.", "session_id": 2350, "sequence_id": 853, "annotations": []}
{"role": "student", "content": "but then", "session_id": 2350, "sequence_id": 854, "annotations": []}
{"role": "student", "content": "the because it's like the slope is like not given, it's zero, so it's 0 x minus 5 Y is equal to and now I could just do one in -5.", "session_id": 2350, "sequence_id": 855, "annotations": []}
{"role": "student", "content": "and I could do 2 in -5.", "session_id": 2350, "sequence_id": 856, "annotations": []}
{"role": "student", "content": "Can I do, uh, 1 and -5.", "session_id": 2350, "sequence_id": 857, "annotations": []}
{"role": "volunteer", "content": "Oh yes, that's, that's one solution. Good. OK.", "session_id": 2350, "sequence_id": 858, "annotations": []}
{"role": "volunteer", "content": "OK, that's one point. Great. And now just find another point.", "session_id": 2350, "sequence_id": 859, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 2350, "sequence_id": 860, "annotations": []}
{"role": "student", "content": "yeah.", "session_id": 2350, "sequence_id": 861, "annotations": []}
{"role": "student", "content": "yeah.", "session_id": 2350, "sequence_id": 862, "annotations": []}
{"role": "volunteer", "content": "Oh, you already did. You, you said 21-5 and 1 in 5, right? OK. Yeah, those are both two points on the line. See, I even drew it for you. So you have 1 -5.", "session_id": 2350, "sequence_id": 863, "annotations": []}
{"role": "volunteer", "content": "and 25. Great. OK. And then they say find the slope, which is obviously zero. OK. So is there any more? Cause they, I think that's it.", "session_id": 2350, "sequence_id": 864, "annotations": []}
{"role": "student", "content": "Uh, no, that's it, but, um.", "session_id": 2350, "sequence_id": 865, "annotations": []}
{"role": "student", "content": "there's also like one example left, but I don't know if you have time.", "session_id": 2350, "sequence_id": 866, "annotations": []}
{"role": "volunteer", "content": "You know, I have time. Yeah, that's fine. One more is fine, sure.", "session_id": 2350, "sequence_id": 867, "annotations": []}
{"role": "student", "content": "It's about likely, uh, oh, let me just share. Oh yeah, at the bottom part, and then there's like an example.", "session_id": 2350, "sequence_id": 868, "annotations": []}
{"role": "volunteer", "content": "Oh.", "session_id": 2350, "sequence_id": 869, "annotations": []}
{"role": "student", "content": "here", "session_id": 2350, "sequence_id": 870, "annotations": []}
{"role": "volunteer", "content": "wait, is that activity, 00 no, never mind, it's loading. One second.", "session_id": 2350, "sequence_id": 871, "annotations": []}
{"role": "volunteer", "content": "Your image is low", "session_id": 2350, "sequence_id": 872, "annotations": []}
{"role": "student", "content": "The bottom part, there's like a mountain mountain and that's like explaining it. And then the examples are like on, I'm uploading them right now, so.", "session_id": 2350, "sequence_id": 873, "annotations": []}
{"role": "volunteer", "content": "OK, sure", "session_id": 2350, "sequence_id": 874, "annotations": []}
{"role": "student", "content": "there.", "session_id": 2350, "sequence_id": 875, "annotations": []}
{"role": "volunteer", "content": "Uh, oh, is it? OK, wait. Oh, it's lagging that. OK, I'll, I'll wait for it to low oh, example 5 and Activity 6.", "session_id": 2350, "sequence_id": 876, "annotations": []}
{"role": "student", "content": "Yeah.", "session_id": 2350, "sequence_id": 877, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 2350, "sequence_id": 878, "annotations": []}
{"role": "volunteer", "content": "Sure", "session_id": 2350, "sequence_id": 879, "annotations": []}
{"role": "volunteer", "content": "Well", "session_id": 2350, "sequence_id": 880, "annotations": []}
{"role": "student", "content": "Wait, what happened", "session_id": 2350, "sequence_id": 881, "annotations": []}
{"role": "student", "content": "Oh", "session_id": 2350, "sequence_id": 882, "annotations": []}
{"role": "student", "content": "Oh no.", "session_id": 2350, "sequence_id": 883, "annotations": []}
{"role": "student", "content": "Oh.", "session_id": 2350, "sequence_id": 884, "annotations": []}
{"role": "volunteer", "content": "this", "session_id": 2350, "sequence_id": 885, "annotations": []}
{"role": "student", "content": "my screen", "session_id": 2350, "sequence_id": 886, "annotations": []}
{"role": "volunteer", "content": "so I'm lagging badly. OK. Uh, you know, I'm gonna put this, OK, I'm actually gonna save us the lag.", "session_id": 2350, "sequence_id": 887, "annotations": []}
{"role": "student", "content": "Wait, wait", "session_id": 2350, "sequence_id": 888, "annotations": []}
{"role": "volunteer", "content": "Once I can he, I, I.", "session_id": 2350, "sequence_id": 889, "annotations": []}
{"role": "student", "content": "raise it", "session_id": 2350, "sequence_id": 890, "annotations": []}
{"role": "student", "content": "Yeah.", "session_id": 2350, "sequence_id": 891, "annotations": []}
{"role": "volunteer", "content": "wait, sorry", "session_id": 2350, "sequence_id": 892, "annotations": []}
{"role": "volunteer", "content": "May", "session_id": 2350, "sequence_id": 893, "annotations": []}
{"role": "student", "content": "I'll just raise every", "session_id": 2350, "sequence_id": 894, "annotations": []}
{"role": "volunteer", "content": "Yeah, OK, yeah, and just reop, yeah, OK.", "session_id": 2350, "sequence_id": 895, "annotations": []}
{"role": "student", "content": "I wanted to learn this before school starts.", "session_id": 2350, "sequence_id": 896, "annotations": []}
{"role": "volunteer", "content": "Yeah, no, it's fine. Yeah, just.", "session_id": 2350, "sequence_id": 897, "annotations": []}
{"role": "volunteer", "content": "All right. Um, now you have a very good idea.", "session_id": 2350, "sequence_id": 898, "annotations": []}
{"role": "volunteer", "content": "of how to do it", "session_id": 2350, "sequence_id": 899, "annotations": []}
{"role": "volunteer", "content": "So let's see", "session_id": 2350, "sequence_id": 900, "annotations": []}
{"role": "volunteer", "content": "where uh", "session_id": 2350, "sequence_id": 901, "annotations": []}
{"role": "student", "content": "The bottom part and then like that's the bottom part is like explaining like, you know, where it has like a mountain.", "session_id": 2350, "sequence_id": 902, "annotations": []}
{"role": "student", "content": "and that", "session_id": 2350, "sequence_id": 903, "annotations": []}
{"role": "volunteer", "content": "yeah, yeah, I know.", "session_id": 2350, "sequence_id": 904, "annotations": []}
{"role": "student", "content": "the examples are uploading.", "session_id": 2350, "sequence_id": 905, "annotations": []}
{"role": "volunteer", "content": "Mhm", "session_id": 2350, "sequence_id": 906, "annotations": []}
{"role": "student", "content": "Did you upload though", "session_id": 2350, "sequence_id": 907, "annotations": []}
{"role": "volunteer", "content": "Well, I don't see it yet.", "session_id": 2350, "sequence_id": 908, "annotations": []}
{"role": "volunteer", "content": "Oh, I, it's going on.", "session_id": 2350, "sequence_id": 909, "annotations": []}
{"role": "student", "content": "It's here", "session_id": 2350, "sequence_id": 910, "annotations": []}
{"role": "student", "content": "Oh, there's 2 of them", "session_id": 2350, "sequence_id": 911, "annotations": []}
{"role": "volunteer", "content": "Um", "session_id": 2350, "sequence_id": 912, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 2350, "sequence_id": 913, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 2350, "sequence_id": 914, "annotations": []}
{"role": "volunteer", "content": "Uh, OK, yeah, I see the", "session_id": 2350, "sequence_id": 915, "annotations": []}
{"role": "volunteer", "content": "All right, great. So,", "session_id": 2350, "sequence_id": 916, "annotations": []}
{"role": "volunteer", "content": "in each case, we find the slope of the line given by the relation.", "session_id": 2350, "sequence_id": 917, "annotations": []}
{"role": "volunteer", "content": "OK.", "session_id": 2350, "sequence_id": 918, "annotations": []}
{"role": "volunteer", "content": "Oh man, this is rough. OK, what's the slope of the first one?", "session_id": 2350, "sequence_id": 919, "annotations": []}
{"role": "student", "content": "2", "session_id": 2350, "sequence_id": 920, "annotations": []}
{"role": "volunteer", "content": "What's the slope of the second one", "session_id": 2350, "sequence_id": 921, "annotations": []}
{"role": "student", "content": "Uh", "session_id": 2350, "sequence_id": 922, "annotations": []}
{"role": "student", "content": "0", "session_id": 2350, "sequence_id": 923, "annotations": []}
{"role": "volunteer", "content": "The", "session_id": 2350, "sequence_id": 924, "annotations": []}
{"role": "volunteer", "content": "Uh, I'm gonna skip this one for now because this is a, a bit too difficult. Like, we're learning this all in one hour. Your teacher might, it's gonna take probably a week to cover it. But uh, uh, that's a good thing. So we're going ahead. Let's see, where is the slope of this one? Uh, below offices.", "session_id": 2350, "sequence_id": 925, "annotations": []}
{"role": "student", "content": "It", "session_id": 2350, "sequence_id": 926, "annotations": []}
{"role": "volunteer", "content": "often see", "session_id": 2350, "sequence_id": 927, "annotations": []}
{"role": "student", "content": "I'll just make it like different like into like the Y form.", "session_id": 2350, "sequence_id": 928, "annotations": []}
{"role": "volunteer", "content": "Oh yeah, good. Yes, very good, very good. That's how you do it. OK, nice. Yeah, you don't do that then, do that first. Oh shoot. Yeah, do that first.", "session_id": 2350, "sequence_id": 929, "annotations": []}
{"role": "volunteer", "content": "I'm thinking you, OK, yeah, great. So you're smart. OK, yeah, do that. Mhm.", "session_id": 2350, "sequence_id": 930, "annotations": []}
{"role": "student", "content": "So it's, wait.", "session_id": 2350, "sequence_id": 931, "annotations": []}
{"role": "student", "content": "negative 5.", "session_id": 2350, "sequence_id": 932, "annotations": []}
{"role": "student", "content": "the slope", "session_id": 2350, "sequence_id": 933, "annotations": []}
{"role": "student", "content": "and we could just go on to the activities.", "session_id": 2350, "sequence_id": 934, "annotations": []}
{"role": "student", "content": "So.", "session_id": 2350, "sequence_id": 935, "annotations": []}
{"role": "student", "content": "it's the same thing", "session_id": 2350, "sequence_id": 936, "annotations": []}
{"role": "student", "content": "I'll just do that real quick", "session_id": 2350, "sequence_id": 937, "annotations": []}
{"role": "volunteer", "content": "Wait, wait, wait, when you say alopas?", "session_id": 2350, "sequence_id": 938, "annotations": []}
{"role": "student", "content": "-2.5.", "session_id": 2350, "sequence_id": 939, "annotations": []}
{"role": "volunteer", "content": "uh, neh is 2.5. Yes, I think that's right. Is that right?", "session_id": 2350, "sequence_id": 940, "annotations": []}
{"role": "volunteer", "content": "So, uh, let me, OK, yeah, I, yeah, that's", "session_id": 2350, "sequence_id": 941, "annotations": []}
{"role": "volunteer", "content": "wait, 2.4", "session_id": 2350, "sequence_id": 942, "annotations": []}
{"role": "volunteer", "content": "sorry, I, I didn't even solving myself again. So I have those two points and then, OK.", "session_id": 2350, "sequence_id": 943, "annotations": []}
{"role": "volunteer", "content": "I think that's yeah, 2.5, yeah, yeah, mhm.", "session_id": 2350, "sequence_id": 944, "annotations": []}
{"role": "student", "content": "And then for activity, the slope is 5, 10 for part A.", "session_id": 2350, "sequence_id": 945, "annotations": []}
{"role": "volunteer", "content": "The slope for activity 5 when we saw it. So why was, ah, blah blah.", "session_id": 2350, "sequence_id": 946, "annotations": []}
{"role": "volunteer", "content": "Yes, I think so.", "session_id": 2350, "sequence_id": 947, "annotations": []}
{"role": "volunteer", "content": "Uh-huh, yeah", "session_id": 2350, "sequence_id": 948, "annotations": []}
{"role": "volunteer", "content": "Good. Wait, 10? Yeah, 10. I got 10. OK, good.", "session_id": 2350, "sequence_id": 949, "annotations": []}
{"role": "student", "content": "then uh", "session_id": 2350, "sequence_id": 950, "annotations": []}
{"role": "student", "content": "for the part B, I think it's 0.", "session_id": 2350, "sequence_id": 951, "annotations": []}
{"role": "volunteer", "content": "Very good. Yes, you fall for good.", "session_id": 2350, "sequence_id": 952, "annotations": []}
{"role": "volunteer", "content": "Cause yeah, you get Y equals minus 6, which is still 0.", "session_id": 2350, "sequence_id": 953, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 2350, "sequence_id": 954, "annotations": []}
{"role": "student", "content": "and then", "session_id": 2350, "sequence_id": 955, "annotations": []}
{"role": "student", "content": "it's", "session_id": 2350, "sequence_id": 956, "annotations": []}
{"role": "volunteer", "content": "Uh, this easy one", "session_id": 2350, "sequence_id": 957, "annotations": []}
{"role": "student", "content": "uh", "session_id": 2350, "sequence_id": 958, "annotations": []}
{"role": "volunteer", "content": "It, yeah, 3, go.", "session_id": 2350, "sequence_id": 959, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 2350, "sequence_id": 960, "annotations": []}
{"role": "student", "content": "Mm.", "session_id": 2350, "sequence_id": 961, "annotations": []}
{"role": "volunteer", "content": "3. OK. Yup. So we're done.", "session_id": 2350, "sequence_id": 962, "annotations": []}
{"role": "volunteer", "content": "Yeah, we're good. Good job.", "session_id": 2350, "sequence_id": 963, "annotations": []}
{"role": "student", "content": "OK", "session_id": 2350, "sequence_id": 964, "annotations": []}
{"role": "student", "content": "I finished like the whole week and.", "session_id": 2350, "sequence_id": 965, "annotations": []}
{"role": "student", "content": "how many like one hour.", "session_id": 2350, "sequence_id": 966, "annotations": []}
{"role": "volunteer", "content": "Yeah, yeah, good job", "session_id": 2350, "sequence_id": 967, "annotations": []}
{"role": "volunteer", "content": "Yeah. Oh, it's gonna be easy when you get back to school. OK. Anything.", "session_id": 2350, "sequence_id": 968, "annotations": []}
{"role": "student", "content": "You're", "session_id": 2350, "sequence_id": 969, "annotations": []}
{"role": "student", "content": "' re actually such a good, like I actually understood.", "session_id": 2350, "sequence_id": 970, "annotations": []}
{"role": "volunteer", "content": "Yes, I know. Thank you, man. Thank you, thank you.", "session_id": 2350, "sequence_id": 971, "annotations": []}
{"role": "volunteer", "content": "Um, yeah", "session_id": 2350, "sequence_id": 972, "annotations": []}
{"role": "student", "content": "5 stars", "session_id": 2350, "sequence_id": 973, "annotations": []}
{"role": "volunteer", "content": "OK, thank you. Yeah, I'll really appreciate that. And yeah, you're a good student too, you're very smart. Thank you, ma'am.", "session_id": 2350, "sequence_id": 974, "annotations": []}
{"role": "student", "content": "Oh, thank you so much for this session and I hope you have a good day. Bye.", "session_id": 2350, "sequence_id": 975, "annotations": []}
{"role": "volunteer", "content": "Bye, you too", "session_id": 2350, "sequence_id": 976, "annotations": []}
{"role": "volunteer", "content": "Hello", "session_id": 2983, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "How can I help you", "session_id": 2983, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "?", "session_id": 2983, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "hi! i was wondering if you could help me with my geometry homework?", "session_id": 2983, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "Sure", "session_id": 2983, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "Ok sure, one second", "session_id": 2983, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "can you see my screen?", "session_id": 2983, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "Yes I will solve right now", "session_id": 2983, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "okay", "session_id": 2983, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "by the way have you used deltamath before?", "session_id": 2983, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "Ahhhh\"", "session_id": 2983, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "yes yes i have used delta math", "session_id": 2983, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "but not for this exercise", "session_id": 2983, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "but lets see ok", "session_id": 2983, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "ok so click compass", "session_id": 2983, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "Under the question it says compass right?", "session_id": 2983, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "So click that", "session_id": 2983, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "Hello?", "session_id": 2983, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "yes sorry", "session_id": 2983, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "i was reading what you were typing", "session_id": 2983, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "it says click and drag to draw a circle", "session_id": 2983, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "huh ok now drag near the dot", "session_id": 2983, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "wait what dot", "session_id": 2983, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "Yes draw a circle", "session_id": 2983, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "like you did before", "session_id": 2983, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "this exercise is weird", "session_id": 2983, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "here look one second", "session_id": 2983, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "how big?", "session_id": 2983, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "Look at the board this is what the answer is supposed ot be but idk how to draw the line", "session_id": 2983, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "circle can be any size", "session_id": 2983, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "delta mat is strange", "session_id": 2983, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "but i think i know how so draw a circle", "session_id": 2983, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "using the compass", "session_id": 2983, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "and draw it on the dot", "session_id": 2983, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "oh", "session_id": 2983, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "ok drag the dot u put on the black like to the right", "session_id": 2983, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "there??", "session_id": 2983, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "nonono like as in dont pt it on the line", "session_id": 2983, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "see on the board i drew a blacker line", "session_id": 2983, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "a more bolded one", "session_id": 2983, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "imagine that was there put it on tha tline basically", "session_id": 2983, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "cuz this answer is the corrcet answer but delta is weird", "session_id": 2983, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "oh", "session_id": 2983, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "look at the board do this", "session_id": 2983, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "drag that dot somewher there", "session_id": 2983, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "ok", "session_id": 2983, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "there?", "session_id": 2983, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "ok now click the line buttob", "session_id": 2983, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "button", "session_id": 2983, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "ok", "session_id": 2983, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "ahhh ok yes now draw a line that looks exactly like whats ont he boardrn", "session_id": 2983, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "ok now draw a line", "session_id": 2983, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "that looksjust like", "session_id": 2983, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "the one on the board", "session_id": 2983, "sequence_id": 53, "annotations": []}
{"role": "student", "content": "wait how", "session_id": 2983, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "Ok wait give me soemtime to understna dhow this delta works im gonig to pull up the exact assignment", "session_id": 2983, "sequence_id": 55, "annotations": []}
{"role": "student", "content": "ok", "session_id": 2983, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "because we have the answer we just dont know how to draw it on this program", "session_id": 2983, "sequence_id": 57, "annotations": []}
{"role": "student", "content": "oh", "session_id": 2983, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "unfortunately I dont have access to this program but I can explain on hw you regularly do it manually with a real compass may be you can replicate", "session_id": 2983, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "you take a point on the line", "session_id": 2983, "sequence_id": 60, "annotations": []}
{"role": "student", "content": "ok", "session_id": 2983, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "we call it A", "session_id": 2983, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "we take another one", "session_id": 2983, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "we cann it B", "session_id": 2983, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "Step 1: you point the compass pointy end on A and open it so that the other end touches C so pening measure is a", "session_id": 2983, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "Are you following or do you think it does not match the program feature", "session_id": 2983, "sequence_id": 66, "annotations": []}
{"role": "student", "content": "oh", "session_id": 2983, "sequence_id": 67, "annotations": []}
{"role": "student", "content": "wait give me a sec", "session_id": 2983, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "https://www.example.com", "session_id": 2983, "sequence_id": 69, "annotations": [{"pii_type": "URL", "surrogate": "https://www.example.com", "start": 0, "end": 23}]}
{"role": "volunteer", "content": "Ok I found a video here on how they specifically do it", "session_id": 2983, "sequence_id": 70, "annotations": []}
{"role": "student", "content": "wait i cant copy it", "session_id": 2983, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "Ok I will explain if you cant copy it", "session_id": 2983, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "Ok so step 1:", "session_id": 2983, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "Click compass", "session_id": 2983, "sequence_id": 74, "annotations": []}
{"role": "volunteer", "content": "Hello?", "session_id": 2983, "sequence_id": 75, "annotations": []}
{"role": "student", "content": "ok", "session_id": 2983, "sequence_id": 76, "annotations": []}
{"role": "student", "content": "wait", "session_id": 2983, "sequence_id": 77, "annotations": []}
{"role": "student", "content": "do u want me to do it all over again", "session_id": 2983, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "So click compass and draw ont point on the line and one on the point", "session_id": 2983, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "yesyes", "session_id": 2983, "sequence_id": 80, "annotations": []}
{"role": "student", "content": "okk", "session_id": 2983, "sequence_id": 81, "annotations": []}
{"role": "volunteer", "content": "I cant see your screen", "session_id": 2983, "sequence_id": 82, "annotations": []}
{"role": "student", "content": "what do i do now", "session_id": 2983, "sequence_id": 83, "annotations": []}
{"role": "student", "content": "u can't see my screen??", "session_id": 2983, "sequence_id": 84, "annotations": []}
{"role": "volunteer", "content": "yes reshare", "session_id": 2983, "sequence_id": 85, "annotations": []}
{"role": "student", "content": "okk", "session_id": 2983, "sequence_id": 86, "annotations": []}
{"role": "student", "content": "do u see it now?", "session_id": 2983, "sequence_id": 87, "annotations": []}
{"role": "volunteer", "content": "No shoot", "session_id": 2983, "sequence_id": 88, "annotations": []}
{"role": "volunteer", "content": "ok it fine its fine", "session_id": 2983, "sequence_id": 89, "annotations": []}
{"role": "student", "content": "can u see it now??", "session_id": 2983, "sequence_id": 90, "annotations": []}
{"role": "volunteer", "content": "So look at the board right", "session_id": 2983, "sequence_id": 91, "annotations": []}
{"role": "student", "content": "wait", "session_id": 2983, "sequence_id": 92, "annotations": []}
{"role": "volunteer", "content": "Still no", "session_id": 2983, "sequence_id": 93, "annotations": []}
{"role": "student", "content": "let me know if you see it", "session_id": 2983, "sequence_id": 94, "annotations": []}
{"role": "student", "content": "okay wait", "session_id": 2983, "sequence_id": 95, "annotations": []}
{"role": "volunteer", "content": "ok so you have this right something like thsi", "session_id": 2983, "sequence_id": 96, "annotations": []}
{"role": "student", "content": "there?", "session_id": 2983, "sequence_id": 97, "annotations": []}
{"role": "volunteer", "content": "Still dont see it", "session_id": 2983, "sequence_id": 98, "annotations": []}
{"role": "volunteer", "content": "but look at the board u have this right", "session_id": 2983, "sequence_id": 99, "annotations": []}
{"role": "student", "content": "then thats on your end", "session_id": 2983, "sequence_id": 100, "annotations": []}
{"role": "volunteer", "content": "on the program*", "session_id": 2983, "sequence_id": 101, "annotations": []}
{"role": "student", "content": "yes", "session_id": 2983, "sequence_id": 102, "annotations": []}
{"role": "volunteer", "content": "but anyways see the baord", "session_id": 2983, "sequence_id": 103, "annotations": []}
{"role": "volunteer", "content": "board", "session_id": 2983, "sequence_id": 104, "annotations": []}
{"role": "student", "content": "ok", "session_id": 2983, "sequence_id": 105, "annotations": []}
{"role": "volunteer", "content": "look this is your problem right", "session_id": 2983, "sequence_id": 106, "annotations": []}
{"role": "volunteer", "content": "ok click compass and click these", "session_id": 2983, "sequence_id": 107, "annotations": []}
{"role": "volunteer", "content": "u should have something like this", "session_id": 2983, "sequence_id": 108, "annotations": []}
{"role": "student", "content": "ok", "session_id": 2983, "sequence_id": 109, "annotations": []}
{"role": "volunteer", "content": "u have something like this right?", "session_id": 2983, "sequence_id": 110, "annotations": []}
{"role": "student", "content": "yea", "session_id": 2983, "sequence_id": 111, "annotations": []}
{"role": "student", "content": "lemme take a screenshot", "session_id": 2983, "sequence_id": 112, "annotations": []}
{"role": "volunteer", "content": "fix that point and put itthere", "session_id": 2983, "sequence_id": 113, "annotations": []}
{"role": "volunteer", "content": "did you do that?", "session_id": 2983, "sequence_id": 114, "annotations": []}
{"role": "volunteer", "content": "yes?", "session_id": 2983, "sequence_id": 115, "annotations": []}
{"role": "student", "content": "where do i put it?", "session_id": 2983, "sequence_id": 116, "annotations": []}
{"role": "volunteer", "content": "look at the board", "session_id": 2983, "sequence_id": 117, "annotations": []}
{"role": "volunteer", "content": "i drew arrows", "session_id": 2983, "sequence_id": 118, "annotations": []}
{"role": "student", "content": "like that???", "session_id": 2983, "sequence_id": 119, "annotations": []}
{"role": "volunteer", "content": "yes good", "session_id": 2983, "sequence_id": 120, "annotations": []}
{"role": "student", "content": "ok", "session_id": 2983, "sequence_id": 121, "annotations": []}
{"role": "volunteer", "content": "ok now", "session_id": 2983, "sequence_id": 122, "annotations": []}
{"role": "volunteer", "content": "with the pencil feature do this", "session_id": 2983, "sequence_id": 123, "annotations": []}
{"role": "volunteer", "content": "draw this", "session_id": 2983, "sequence_id": 124, "annotations": []}
{"role": "student", "content": "ok", "session_id": 2983, "sequence_id": 125, "annotations": []}
{"role": "student", "content": "pencil feature?", "session_id": 2983, "sequence_id": 126, "annotations": []}
{"role": "student", "content": "theres no pencil feature in deltamath", "session_id": 2983, "sequence_id": 127, "annotations": []}
{"role": "volunteer", "content": "there is like hover over that area", "session_id": 2983, "sequence_id": 128, "annotations": []}
{"role": "volunteer", "content": "and", "session_id": 2983, "sequence_id": 129, "annotations": []}
{"role": "volunteer", "content": "like read the red text", "session_id": 2983, "sequence_id": 130, "annotations": []}
{"role": "volunteer", "content": "\"you must draw arcs along the circle by clicking and dragging\"", "session_id": 2983, "sequence_id": 131, "annotations": []}
{"role": "student", "content": "huh", "session_id": 2983, "sequence_id": 132, "annotations": []}
{"role": "student", "content": "how do i draw it again", "session_id": 2983, "sequence_id": 133, "annotations": []}
{"role": "volunteer", "content": "you have to draw those arcs by hovering over that area anddragging", "session_id": 2983, "sequence_id": 134, "annotations": []}
{"role": "student", "content": "here", "session_id": 2983, "sequence_id": 135, "annotations": [{"pii_type": "LOCATION", "surrogate": "here", "start": 0, "end": 4}]}
{"role": "volunteer", "content": "clicking and dragging over the area i put on the board", "session_id": 2983, "sequence_id": 136, "annotations": []}
{"role": "student", "content": "ok but like", "session_id": 2983, "sequence_id": 137, "annotations": []}
{"role": "student", "content": "what do i draw", "session_id": 2983, "sequence_id": 138, "annotations": []}
{"role": "student", "content": "im confused rn", "session_id": 2983, "sequence_id": 139, "annotations": []}
{"role": "volunteer", "content": "ok look at the board \\", "session_id": 2983, "sequence_id": 140, "annotations": []}
{"role": "volunteer", "content": "all you do", "session_id": 2983, "sequence_id": 141, "annotations": []}
{"role": "student", "content": "i did", "session_id": 2983, "sequence_id": 142, "annotations": []}
{"role": "volunteer", "content": "click and drag this aare", "session_id": 2983, "sequence_id": 143, "annotations": []}
{"role": "volunteer", "content": "area", "session_id": 2983, "sequence_id": 144, "annotations": []}
{"role": "volunteer", "content": "ok did you do it?", "session_id": 2983, "sequence_id": 145, "annotations": []}
{"role": "student", "content": "like thta?", "session_id": 2983, "sequence_id": 146, "annotations": []}
{"role": "volunteer", "content": "Yes good now wait", "session_id": 2983, "sequence_id": 147, "annotations": []}
{"role": "student", "content": "ok", "session_id": 2983, "sequence_id": 148, "annotations": []}
{"role": "volunteer", "content": "wait you know what make the circle a little smaller this program cant fit it", "session_id": 2983, "sequence_id": 149, "annotations": []}
{"role": "volunteer", "content": "make it slightly smaller", "session_id": 2983, "sequence_id": 150, "annotations": []}
{"role": "volunteer", "content": "sorry this program is so bad", "session_id": 2983, "sequence_id": 151, "annotations": []}
{"role": "student", "content": "there", "session_id": 2983, "sequence_id": 152, "annotations": []}
{"role": "volunteer", "content": "slightly smaller", "session_id": 2983, "sequence_id": 153, "annotations": []}
{"role": "volunteer", "content": "and then itll only take like aminute from there", "session_id": 2983, "sequence_id": 154, "annotations": []}
{"role": "student", "content": "theree", "session_id": 2983, "sequence_id": 155, "annotations": []}
{"role": "volunteer", "content": "k draw an arc here", "session_id": 2983, "sequence_id": 156, "annotations": []}
{"role": "student", "content": "how did u do it", "session_id": 2983, "sequence_id": 157, "annotations": []}
{"role": "volunteer", "content": "just click and drag", "session_id": 2983, "sequence_id": 158, "annotations": []}
{"role": "student", "content": "an arc", "session_id": 2983, "sequence_id": 159, "annotations": []}
{"role": "volunteer", "content": "yes just click and drag over the area i put in the board", "session_id": 2983, "sequence_id": 160, "annotations": []}
{"role": "student", "content": "theree!", "session_id": 2983, "sequence_id": 161, "annotations": []}
{"role": "volunteer", "content": "yes good", "session_id": 2983, "sequence_id": 162, "annotations": []}
{"role": "volunteer", "content": "draw an arc there", "session_id": 2983, "sequence_id": 163, "annotations": []}
{"role": "volunteer", "content": "scroll up in the program if you need to", "session_id": 2983, "sequence_id": 164, "annotations": []}
{"role": "volunteer", "content": "cuz its blocked a little", "session_id": 2983, "sequence_id": 165, "annotations": []}
{"role": "volunteer", "content": "to solve this question you need to draw the full arc there but i dont know if the program lets you", "session_id": 2983, "sequence_id": 166, "annotations": []}
{"role": "student", "content": "it doesnt let me", "session_id": 2983, "sequence_id": 167, "annotations": []}
{"role": "volunteer", "content": "why is this program sooo bad ok make the circle smaller and make the same arcs", "session_id": 2983, "sequence_id": 168, "annotations": []}
{"role": "student", "content": "ugh what", "session_id": 2983, "sequence_id": 169, "annotations": []}
{"role": "student", "content": "bro..", "session_id": 2983, "sequence_id": 170, "annotations": []}
{"role": "volunteer", "content": "nothing to do unfortunately i tried looking online if theres any solutions and there isnt really anything to do", "session_id": 2983, "sequence_id": 171, "annotations": []}
{"role": "student", "content": "man", "session_id": 2983, "sequence_id": 172, "annotations": []}
{"role": "student", "content": "so what do i do now", "session_id": 2983, "sequence_id": 173, "annotations": []}
{"role": "volunteer", "content": "I will  share my screen of some guy  online doing it", "session_id": 2983, "sequence_id": 174, "annotations": []}
{"role": "student", "content": "ok", "session_id": 2983, "sequence_id": 175, "annotations": []}
{"role": "volunteer", "content": "try replicating his but the only thing his point is located somewhere and he has more space", "session_id": 2983, "sequence_id": 176, "annotations": []}
{"role": "volunteer", "content": "my point is his has more space and ours doesnt but here look imma share screen", "session_id": 2983, "sequence_id": 177, "annotations": []}
{"role": "student", "content": "ok", "session_id": 2983, "sequence_id": 178, "annotations": []}
{"role": "volunteer", "content": "for some reason he has space to draw this arc and we dont", "session_id": 2983, "sequence_id": 179, "annotations": []}
{"role": "volunteer", "content": "are you sure you cant draw the arc try again", "session_id": 2983, "sequence_id": 180, "annotations": []}
{"role": "student", "content": "whats an arc", "session_id": 2983, "sequence_id": 181, "annotations": []}
{"role": "volunteer", "content": "you see the little pencil thing where you click and drag", "session_id": 2983, "sequence_id": 182, "annotations": []}
{"role": "volunteer", "content": "the segment u draw is called na arc", "session_id": 2983, "sequence_id": 183, "annotations": []}
{"role": "volunteer", "content": "so the portion you draw is called an arc", "session_id": 2983, "sequence_id": 184, "annotations": []}
{"role": "student", "content": "okk", "session_id": 2983, "sequence_id": 185, "annotations": []}
{"role": "volunteer", "content": "he is able to draw this arc somehow so try drawing this arc", "session_id": 2983, "sequence_id": 186, "annotations": []}
{"role": "volunteer", "content": "draw an arc right thereeee", "session_id": 2983, "sequence_id": 187, "annotations": []}
{"role": "student", "content": "where", "session_id": 2983, "sequence_id": 188, "annotations": []}
{"role": "student", "content": "use adifferent color", "session_id": 2983, "sequence_id": 189, "annotations": []}
{"role": "volunteer", "content": "right there", "session_id": 2983, "sequence_id": 190, "annotations": []}
{"role": "volunteer", "content": "look at the green", "session_id": 2983, "sequence_id": 191, "annotations": []}
{"role": "student", "content": "okk", "session_id": 2983, "sequence_id": 192, "annotations": []}
{"role": "volunteer", "content": "were you able to draw it", "session_id": 2983, "sequence_id": 193, "annotations": []}
{"role": "student", "content": "no", "session_id": 2983, "sequence_id": 194, "annotations": []}
{"role": "volunteer", "content": "good ok nice", "session_id": 2983, "sequence_id": 195, "annotations": []}
{"role": "volunteer", "content": "ok now", "session_id": 2983, "sequence_id": 196, "annotations": []}
{"role": "volunteer", "content": "may i use voice chat", "session_id": 2983, "sequence_id": 197, "annotations": []}
{"role": "student", "content": "yes", "session_id": 2983, "sequence_id": 198, "annotations": []}
{"role": "student", "content": "u dont have to ask me u can use it its okay :)", "session_id": 2983, "sequence_id": 199, "annotations": []}
{"role": "volunteer", "content": "oh my microphone doesnt wor but anyways drag the point", "session_id": 2983, "sequence_id": 200, "annotations": []}
{"role": "volunteer", "content": "you see the point on c", "session_id": 2983, "sequence_id": 201, "annotations": []}
{"role": "volunteer", "content": "drag it to here", "session_id": 2983, "sequence_id": 202, "annotations": []}
{"role": "volunteer", "content": "Uh, can you hear me?", "session_id": 2983, "sequence_id": 203, "annotations": []}
{"role": "volunteer", "content": "So if you can hear me, just hold the, the point C and drag it to the point on the line.", "session_id": 2983, "sequence_id": 204, "annotations": []}
{"role": "volunteer", "content": "just like what's displayed on the board. So hold point C, and then drag it to the arc we built, and the point on where it intersects the line.", "session_id": 2983, "sequence_id": 205, "annotations": []}
{"role": "student", "content": "ok wait", "session_id": 2983, "sequence_id": 206, "annotations": []}
{"role": "student", "content": "can i use voicechat too?", "session_id": 2983, "sequence_id": 207, "annotations": []}
{"role": "volunteer", "content": "sure", "session_id": 2983, "sequence_id": 208, "annotations": []}
{"role": "volunteer", "content": "ok my speaker is on i should be able to hear now", "session_id": 2983, "sequence_id": 209, "annotations": []}
{"role": "student", "content": "What hello", "session_id": 2983, "sequence_id": 210, "annotations": []}
{"role": "student", "content": "I.", "session_id": 2983, "sequence_id": 211, "annotations": []}
{"role": "volunteer", "content": "yes i can hear", "session_id": 2983, "sequence_id": 212, "annotations": []}
{"role": "student", "content": "Hello? Can you hear me?", "session_id": 2983, "sequence_id": 213, "annotations": []}
{"role": "volunteer", "content": "Yeah, I can hear you", "session_id": 2983, "sequence_id": 214, "annotations": []}
{"role": "student", "content": "OK, yeah, so I don't know how to like really do this. Can you see my screen?", "session_id": 2983, "sequence_id": 215, "annotations": []}
{"role": "volunteer", "content": "Uh, for some reason, I can't see your.", "session_id": 2983, "sequence_id": 216, "annotations": []}
{"role": "student", "content": "Wait, I'm sharing it now. I just shared it.", "session_id": 2983, "sequence_id": 217, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 2983, "sequence_id": 218, "annotations": []}
{"role": "volunteer", "content": "OK, now I can see it. So,", "session_id": 2983, "sequence_id": 219, "annotations": []}
{"role": "student", "content": "OK, that's good cause I would, uh, I just shared it.", "session_id": 2983, "sequence_id": 220, "annotations": []}
{"role": "volunteer", "content": "Oh, OK, OK. Good. So you see the, see where it says see", "session_id": 2983, "sequence_id": 221, "annotations": []}
{"role": "student", "content": "Let's see, yeah", "session_id": 2983, "sequence_id": 222, "annotations": []}
{"role": "volunteer", "content": "Yeah, yeah, you hold, hold the blue like circle.", "session_id": 2983, "sequence_id": 223, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 2983, "sequence_id": 224, "annotations": []}
{"role": "volunteer", "content": "and drag it", "session_id": 2983, "sequence_id": 225, "annotations": []}
{"role": "student", "content": "This one or that one", "session_id": 2983, "sequence_id": 226, "annotations": []}
{"role": "volunteer", "content": "Oh no, the one where it says C.", "session_id": 2983, "sequence_id": 227, "annotations": []}
{"role": "student", "content": "OK", "session_id": 2983, "sequence_id": 228, "annotations": []}
{"role": "volunteer", "content": "Drag it to the little like arc on the line. Uh, yeah, dragon, uh, no, below, below.", "session_id": 2983, "sequence_id": 229, "annotations": []}
{"role": "student", "content": "Which one? This one", "session_id": 2983, "sequence_id": 230, "annotations": []}
{"role": "volunteer", "content": "uh below, yeah, there, right there. Oh.", "session_id": 2983, "sequence_id": 231, "annotations": []}
{"role": "volunteer", "content": "yes.", "session_id": 2983, "sequence_id": 232, "annotations": []}
{"role": "volunteer", "content": "right there. OK.", "session_id": 2983, "sequence_id": 233, "annotations": []}
{"role": "student", "content": "Oh my god, wait, and now, wait.", "session_id": 2983, "sequence_id": 234, "annotations": []}
{"role": "volunteer", "content": "Now, OK, OK.", "session_id": 2983, "sequence_id": 235, "annotations": []}
{"role": "volunteer", "content": "So now, OK, what you wanna do", "session_id": 2983, "sequence_id": 236, "annotations": []}
{"role": "volunteer", "content": "click the um", "session_id": 2983, "sequence_id": 237, "annotations": []}
{"role": "student", "content": "wait.", "session_id": 2983, "sequence_id": 238, "annotations": []}
{"role": "student", "content": "How can I stop from getting like notifications from here because like I feel like every time you talk, like, I keep getting notifications, but how do I stop?", "session_id": 2983, "sequence_id": 239, "annotations": []}
{"role": "volunteer", "content": "Oh", "session_id": 2983, "sequence_id": 240, "annotations": []}
{"role": "student", "content": "Yeah, like the little sound.", "session_id": 2983, "sequence_id": 241, "annotations": []}
{"role": "volunteer", "content": "uh, I, I don't know how you, I don't know how to fix that. No, I'm, I'm sorry, I don't know how to fix that.", "session_id": 2983, "sequence_id": 242, "annotations": []}
{"role": "student", "content": "It's so good, it's OK", "session_id": 2983, "sequence_id": 243, "annotations": []}
{"role": "volunteer", "content": "OK. So after that, the next step, OK, hopefully this program works.", "session_id": 2983, "sequence_id": 244, "annotations": []}
{"role": "volunteer", "content": "Now, you draw uh an arc", "session_id": 2983, "sequence_id": 245, "annotations": []}
{"role": "volunteer", "content": "right? OK, so, OK, drawn arc, so move your mouse a bit to the left, a bit to the left.", "session_id": 2983, "sequence_id": 246, "annotations": []}
{"role": "student", "content": "Mm.", "session_id": 2983, "sequence_id": 247, "annotations": []}
{"role": "volunteer", "content": "You see how we, right, yes, right there, uh, till it crosses the line, till it crosses the line.", "session_id": 2983, "sequence_id": 248, "annotations": []}
{"role": "student", "content": "There", "session_id": 2983, "sequence_id": 249, "annotations": []}
{"role": "volunteer", "content": "Do, yeah, should work.", "session_id": 2983, "sequence_id": 250, "annotations": []}
{"role": "student", "content": "More? Do I drive more or?", "session_id": 2983, "sequence_id": 251, "annotations": []}
{"role": "volunteer", "content": "No, that's it, that's it, that's it", "session_id": 2983, "sequence_id": 252, "annotations": []}
{"role": "volunteer", "content": "OK, now, draw, uh, hopefully this, well, hopefully this program works. So now you see the blue circle in the middle.", "session_id": 2983, "sequence_id": 253, "annotations": []}
{"role": "student", "content": "Uh, this one", "session_id": 2983, "sequence_id": 254, "annotations": []}
{"role": "volunteer", "content": "Yeah, move it to the new arc you just drew.", "session_id": 2983, "sequence_id": 255, "annotations": []}
{"role": "volunteer", "content": "Yes, yes, right there. Perfect. OK. Let go. So now,", "session_id": 2983, "sequence_id": 256, "annotations": []}
{"role": "student", "content": "It's like", "session_id": 2983, "sequence_id": 257, "annotations": []}
{"role": "volunteer", "content": "uh let's see, what button do you click? OK. Draw, uh, hopefully this works. OK, she has a top of your new compass. There's the um at the top of, no, don't, no, don't click any of those buttons yet. Draw, you see the at the top of the little circle it has, there's your little gray lines from earlier, right?", "session_id": 2983, "sequence_id": 258, "annotations": []}
{"role": "student", "content": "that one?", "session_id": 2983, "sequence_id": 259, "annotations": []}
{"role": "volunteer", "content": "Yeah, uh-huh. Draw in the arc passing it. Just draw an arc passing it. Yeah, yeah.", "session_id": 2983, "sequence_id": 260, "annotations": []}
{"role": "student", "content": "Like that", "session_id": 2983, "sequence_id": 261, "annotations": []}
{"role": "volunteer", "content": "Uh-huh.", "session_id": 2983, "sequence_id": 262, "annotations": []}
{"role": "student", "content": "OK", "session_id": 2983, "sequence_id": 263, "annotations": []}
{"role": "volunteer", "content": "Good. Now,", "session_id": 2983, "sequence_id": 264, "annotations": []}
{"role": "volunteer", "content": "I think now, so click the line button.", "session_id": 2983, "sequence_id": 265, "annotations": []}
{"role": "volunteer", "content": "so", "session_id": 2983, "sequence_id": 266, "annotations": []}
{"role": "student", "content": "OK", "session_id": 2983, "sequence_id": 267, "annotations": []}
{"role": "volunteer", "content": "uh OK. Now, I think you just, so after clicking the line button, you", "session_id": 2983, "sequence_id": 268, "annotations": []}
{"role": "volunteer", "content": "click on click on C.", "session_id": 2983, "sequence_id": 269, "annotations": []}
{"role": "student", "content": "OK", "session_id": 2983, "sequence_id": 270, "annotations": []}
{"role": "volunteer", "content": "click on C", "session_id": 2983, "sequence_id": 271, "annotations": []}
{"role": "volunteer", "content": "uh, and then do it, uh, you see on the top left where the two arcs intersect.", "session_id": 2983, "sequence_id": 272, "annotations": []}
{"role": "student", "content": "That one", "session_id": 2983, "sequence_id": 273, "annotations": []}
{"role": "volunteer", "content": "uh and they keep going and keep going.", "session_id": 2983, "sequence_id": 274, "annotations": []}
{"role": "student", "content": "Oh.", "session_id": 2983, "sequence_id": 275, "annotations": []}
{"role": "volunteer", "content": "No top complete move your mouse, oh, OK, uh, up, up.", "session_id": 2983, "sequence_id": 276, "annotations": []}
{"role": "volunteer", "content": "OK, OK. You see the gray lines.", "session_id": 2983, "sequence_id": 277, "annotations": []}
{"role": "student", "content": "wait, more", "session_id": 2983, "sequence_id": 278, "annotations": []}
{"role": "volunteer", "content": "no up go, yes, right there directly up, go directly up, move your mouse directly up.", "session_id": 2983, "sequence_id": 279, "annotations": []}
{"role": "volunteer", "content": "Uh, no, OK, how can I, um,", "session_id": 2983, "sequence_id": 280, "annotations": []}
{"role": "student", "content": "Wait", "session_id": 2983, "sequence_id": 281, "annotations": []}
{"role": "volunteer", "content": "OK.", "session_id": 2983, "sequence_id": 282, "annotations": []}
{"role": "volunteer", "content": "Can you, do you still have, do you still have access to the board?", "session_id": 2983, "sequence_id": 283, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 2983, "sequence_id": 284, "annotations": []}
{"role": "volunteer", "content": "I want to draw, OK, look, look at the board. I want your mouse to be somewhere in this area, right? Somewhere in this area.", "session_id": 2983, "sequence_id": 285, "annotations": []}
{"role": "student", "content": "Wait, where, wait.", "session_id": 2983, "sequence_id": 286, "annotations": []}
{"role": "student", "content": "Where?", "session_id": 2983, "sequence_id": 287, "annotations": []}
{"role": "volunteer", "content": "Where the, where you have two arcs like in inside each other.", "session_id": 2983, "sequence_id": 288, "annotations": []}
{"role": "volunteer", "content": "intersecting each other.", "session_id": 2983, "sequence_id": 289, "annotations": []}
{"role": "student", "content": "I can't see you're drawing the line though.", "session_id": 2983, "sequence_id": 290, "annotations": []}
{"role": "volunteer", "content": "OK, I'll draw it in a, I'll draw in a different color", "session_id": 2983, "sequence_id": 291, "annotations": []}
{"role": "volunteer", "content": "OK, where you see pink, where you see, uh, where you see pink is where your mouse should be.", "session_id": 2983, "sequence_id": 292, "annotations": []}
{"role": "student", "content": "Uh, like, oh, OK.", "session_id": 2983, "sequence_id": 293, "annotations": []}
{"role": "student", "content": "But that's where the line should be.", "session_id": 2983, "sequence_id": 294, "annotations": []}
{"role": "student", "content": "OK,", "session_id": 2983, "sequence_id": 295, "annotations": []}
{"role": "volunteer", "content": "Yeah, so look, so click OK, go back to the delta, click line on C, and put the click on C.", "session_id": 2983, "sequence_id": 296, "annotations": []}
{"role": "student", "content": "Wait, there", "session_id": 2983, "sequence_id": 297, "annotations": []}
{"role": "volunteer", "content": "and then you see, OK, yeah, right there, right there. Oh, you had it, you had it for like a split second. What was that, no, where the two arcs are, yes, right there.", "session_id": 2983, "sequence_id": 298, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 2983, "sequence_id": 299, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 2983, "sequence_id": 300, "annotations": []}
{"role": "volunteer", "content": "Why why does it say to click and drag another line.", "session_id": 2983, "sequence_id": 301, "annotations": []}
{"role": "student", "content": "I think we can just submit there.", "session_id": 2983, "sequence_id": 302, "annotations": []}
{"role": "volunteer", "content": "Uh, yeah, try it. Hopefully it works.", "session_id": 2983, "sequence_id": 303, "annotations": []}
{"role": "student", "content": "Oh yeah, it was correct. Yeah.", "session_id": 2983, "sequence_id": 304, "annotations": []}
{"role": "student", "content": "OK", "session_id": 2983, "sequence_id": 305, "annotations": []}
{"role": "volunteer", "content": "Oh, OK, so now I figured out how this program works. OK. So next problem.", "session_id": 2983, "sequence_id": 306, "annotations": []}
{"role": "volunteer", "content": "construct, uh, OK, let's see again, so, OK, now I got it. OK, so click compass.", "session_id": 2983, "sequence_id": 307, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 2983, "sequence_id": 308, "annotations": []}
{"role": "student", "content": "There", "session_id": 2983, "sequence_id": 309, "annotations": []}
{"role": "volunteer", "content": "uh on Y yeah, draw draw circle, like, uh, through the lines.", "session_id": 2983, "sequence_id": 310, "annotations": []}
{"role": "volunteer", "content": "Sure, mhm", "session_id": 2983, "sequence_id": 311, "annotations": []}
{"role": "student", "content": "OK", "session_id": 2983, "sequence_id": 312, "annotations": []}
{"role": "student", "content": "OK", "session_id": 2983, "sequence_id": 313, "annotations": []}
{"role": "volunteer", "content": "OK, now, oh wait. OK.", "session_id": 2983, "sequence_id": 314, "annotations": []}
{"role": "volunteer", "content": "No, actually, make it slightly bigger, make it slightly bigger, like, put it to the left, uh, no, OK, to the left, to the left.", "session_id": 2983, "sequence_id": 315, "annotations": []}
{"role": "student", "content": "OK", "session_id": 2983, "sequence_id": 316, "annotations": []}
{"role": "volunteer", "content": "Make sure that blue circle is on the line, uh, is right on the line. Yes, like sure there, yeah, that works. OK.", "session_id": 2983, "sequence_id": 317, "annotations": []}
{"role": "volunteer", "content": "Now, after you do that,", "session_id": 2983, "sequence_id": 318, "annotations": []}
{"role": "volunteer", "content": "you're gonna", "session_id": 2983, "sequence_id": 319, "annotations": []}
{"role": "student", "content": "Thank you.", "session_id": 2983, "sequence_id": 320, "annotations": []}
{"role": "volunteer", "content": "All right, now draw an arc, right, um, at the bottom right of the circle, at the bottom right of the circle, yes, yeah, 3 goes 2 lines. Good, good, good.", "session_id": 2983, "sequence_id": 321, "annotations": []}
{"role": "student", "content": "I have to go through these lines.", "session_id": 2983, "sequence_id": 322, "annotations": []}
{"role": "volunteer", "content": "Yeah, good. OK.", "session_id": 2983, "sequence_id": 323, "annotations": []}
{"role": "student", "content": "OK", "session_id": 2983, "sequence_id": 324, "annotations": []}
{"role": "volunteer", "content": "After that, draw um draw, I, I, hopefully I can annotate. OK, you know what, I'll just try to explain it. So, you see the complete left of the compass circle, the complete left of the compass circle.", "session_id": 2983, "sequence_id": 325, "annotations": []}
{"role": "student", "content": "This side?", "session_id": 2983, "sequence_id": 326, "annotations": []}
{"role": "volunteer", "content": "Yes, this side, draw that side, draw an arc through uh a small arc through um through that, through the middle of it, not up.", "session_id": 2983, "sequence_id": 327, "annotations": []}
{"role": "student", "content": "Here?", "session_id": 2983, "sequence_id": 328, "annotations": []}
{"role": "volunteer", "content": "Yes", "session_id": 2983, "sequence_id": 329, "annotations": []}
{"role": "student", "content": "There", "session_id": 2983, "sequence_id": 330, "annotations": []}
{"role": "volunteer", "content": "Uh, a bit bigger", "session_id": 2983, "sequence_id": 331, "annotations": []}
{"role": "volunteer", "content": "OK, good. And now me, yes, OK.", "session_id": 2983, "sequence_id": 332, "annotations": []}
{"role": "volunteer", "content": "who that, yeah, that, that, that'll work. OK, that'll work. A little bit bigger.", "session_id": 2983, "sequence_id": 333, "annotations": []}
{"role": "student", "content": "More bigger, I can make it more bigger, I think.", "session_id": 2983, "sequence_id": 334, "annotations": []}
{"role": "volunteer", "content": "Yeah, yeah, bigger.", "session_id": 2983, "sequence_id": 335, "annotations": []}
{"role": "volunteer", "content": "Oh.", "session_id": 2983, "sequence_id": 336, "annotations": []}
{"role": "student", "content": "there.", "session_id": 2983, "sequence_id": 337, "annotations": []}
{"role": "volunteer", "content": "I, I'll down, yeah, up and down, bigger both up and down.", "session_id": 2983, "sequence_id": 338, "annotations": []}
{"role": "volunteer", "content": "OK, yes, good, that'll work", "session_id": 2983, "sequence_id": 339, "annotations": []}
{"role": "student", "content": "OK", "session_id": 2983, "sequence_id": 340, "annotations": []}
{"role": "volunteer", "content": "Yeah. Now, after that,", "session_id": 2983, "sequence_id": 341, "annotations": []}
{"role": "volunteer", "content": "OK, now after that, you are gonna move the, you see the blue circle at the Y.", "session_id": 2983, "sequence_id": 342, "annotations": []}
{"role": "student", "content": "this one, yeah.", "session_id": 2983, "sequence_id": 343, "annotations": []}
{"role": "volunteer", "content": "Yeah, move it.", "session_id": 2983, "sequence_id": 344, "annotations": []}
{"role": "volunteer", "content": "Move it right to the arc intersecting the line.", "session_id": 2983, "sequence_id": 345, "annotations": []}
{"role": "student", "content": "Just wait", "session_id": 2983, "sequence_id": 346, "annotations": []}
{"role": "volunteer", "content": "Yes, right, uh, right at the point. Yes, good, good, good. OK. So after that, you're gonna draw, you see at the left side, the compass circle is intersecting the line, right?", "session_id": 2983, "sequence_id": 347, "annotations": []}
{"role": "volunteer", "content": "At the left side, the er.", "session_id": 2983, "sequence_id": 348, "annotations": []}
{"role": "volunteer", "content": "Yes.", "session_id": 2983, "sequence_id": 349, "annotations": []}
{"role": "student", "content": "Well, wait, wait, this one or that.", "session_id": 2983, "sequence_id": 350, "annotations": []}
{"role": "volunteer", "content": "Yes, Draw notes there. Yeah, draw an arc right there.", "session_id": 2983, "sequence_id": 351, "annotations": []}
{"role": "student", "content": "like intersecting this side.", "session_id": 2983, "sequence_id": 352, "annotations": []}
{"role": "volunteer", "content": "Mhm, yeah", "session_id": 2983, "sequence_id": 353, "annotations": []}
{"role": "student", "content": "like that", "session_id": 2983, "sequence_id": 354, "annotations": []}
{"role": "volunteer", "content": "OK, good", "session_id": 2983, "sequence_id": 355, "annotations": []}
{"role": "volunteer", "content": "Now, uh, again, hold the blue circle in the middle to the arc you just drew.", "session_id": 2983, "sequence_id": 356, "annotations": []}
{"role": "student", "content": "like that", "session_id": 2983, "sequence_id": 357, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 2983, "sequence_id": 358, "annotations": []}
{"role": "volunteer", "content": "Oh, OK. Now, uh, I think, I, I think you just click the line, you click the line feature.", "session_id": 2983, "sequence_id": 359, "annotations": []}
{"role": "student", "content": "OK", "session_id": 2983, "sequence_id": 360, "annotations": []}
{"role": "volunteer", "content": "and then you click from, oh wait, not yet, sorry, sorry, go back to Compass.", "session_id": 2983, "sequence_id": 361, "annotations": []}
{"role": "student", "content": "OK", "session_id": 2983, "sequence_id": 362, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 2983, "sequence_id": 363, "annotations": []}
{"role": "student", "content": "OK", "session_id": 2983, "sequence_id": 364, "annotations": []}
{"role": "volunteer", "content": "So, oh wait, let me remember, after what you do, so you drew the line there. Ah, and then I remember, OK, so go back to Compass. Oh yeah. Now, you see the, there's an arc in the middle of the black line.", "session_id": 2983, "sequence_id": 365, "annotations": []}
{"role": "student", "content": "This one.", "session_id": 2983, "sequence_id": 366, "annotations": []}
{"role": "volunteer", "content": "Yes, yes, that one, yeah.", "session_id": 2983, "sequence_id": 367, "annotations": []}
{"role": "volunteer", "content": "OK. Now,", "session_id": 2983, "sequence_id": 368, "annotations": []}
{"role": "volunteer", "content": "OK, yeah, put a compass on that line.", "session_id": 2983, "sequence_id": 369, "annotations": []}
{"role": "student", "content": "Wait, like that", "session_id": 2983, "sequence_id": 370, "annotations": []}
{"role": "volunteer", "content": "Yeah, no, not like that. Oh, OK, no, that'll work. Sure, that'll work.", "session_id": 2983, "sequence_id": 371, "annotations": []}
{"role": "student", "content": "Yeah.", "session_id": 2983, "sequence_id": 372, "annotations": []}
{"role": "volunteer", "content": "Uh, wait, OK, hm.", "session_id": 2983, "sequence_id": 373, "annotations": []}
{"role": "volunteer", "content": "Wait, uhm, we had, oh, just one second. Let me check something.", "session_id": 2983, "sequence_id": 374, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 2983, "sequence_id": 375, "annotations": []}
{"role": "volunteer", "content": "All right, so, OK, yeah, put the", "session_id": 2983, "sequence_id": 376, "annotations": []}
{"role": "volunteer", "content": "compass", "session_id": 2983, "sequence_id": 377, "annotations": []}
{"role": "volunteer", "content": "So put the, OK, put the this blue line as a middle uh", "session_id": 2983, "sequence_id": 378, "annotations": []}
{"role": "volunteer", "content": "up", "session_id": 2983, "sequence_id": 379, "annotations": []}
{"role": "volunteer", "content": "OK, put the bottom blue circle on the line.", "session_id": 2983, "sequence_id": 380, "annotations": []}
{"role": "student", "content": "We", "session_id": 2983, "sequence_id": 381, "annotations": []}
{"role": "student", "content": "wait, what'd you say?", "session_id": 2983, "sequence_id": 382, "annotations": []}
{"role": "volunteer", "content": "OK, so you see the blue circle, not the yat, yeah, that one. Put it right as a complete right side, sorry, not the middle, the right, uh, that's left, that's left.", "session_id": 2983, "sequence_id": 383, "annotations": []}
{"role": "student", "content": "Oh wait, sorry", "session_id": 2983, "sequence_id": 384, "annotations": []}
{"role": "volunteer", "content": "Yeah, and the right arc, at the right arc, not, yes, right there.", "session_id": 2983, "sequence_id": 385, "annotations": []}
{"role": "volunteer", "content": "right there", "session_id": 2983, "sequence_id": 386, "annotations": []}
{"role": "volunteer", "content": "Now, OK, now, uh, let go of the compass for a sec.", "session_id": 2983, "sequence_id": 387, "annotations": []}
{"role": "student", "content": "OK. Wait, like that", "session_id": 2983, "sequence_id": 388, "annotations": []}
{"role": "volunteer", "content": "Yeah, like that", "session_id": 2983, "sequence_id": 389, "annotations": []}
{"role": "volunteer", "content": "OK.", "session_id": 2983, "sequence_id": 390, "annotations": []}
{"role": "volunteer", "content": "OK. Now, uh, double click, just click compass one more time.", "session_id": 2983, "sequence_id": 391, "annotations": []}
{"role": "volunteer", "content": "Click Compass one more time. OK, good. Now click Compass again.", "session_id": 2983, "sequence_id": 392, "annotations": []}
{"role": "volunteer", "content": "Now, uh, go back to the, not, not there, go back to the uh arc on the right.", "session_id": 2983, "sequence_id": 393, "annotations": []}
{"role": "volunteer", "content": "Yeah, and now draw a compass. Yeah, hold it.", "session_id": 2983, "sequence_id": 394, "annotations": []}
{"role": "volunteer", "content": "Draw, keep going, keep, uh, to the arc in the middle.", "session_id": 2983, "sequence_id": 395, "annotations": []}
{"role": "volunteer", "content": "to the arc", "session_id": 2983, "sequence_id": 396, "annotations": []}
{"role": "student", "content": "Wait, oh wait, oh wait", "session_id": 2983, "sequence_id": 397, "annotations": []}
{"role": "volunteer", "content": "Yeah.", "session_id": 2983, "sequence_id": 398, "annotations": []}
{"role": "student", "content": "wait", "session_id": 2983, "sequence_id": 399, "annotations": []}
{"role": "volunteer", "content": "Yeah, put it to the.", "session_id": 2983, "sequence_id": 400, "annotations": []}
{"role": "student", "content": "I just do it online, how do I undo it?", "session_id": 2983, "sequence_id": 401, "annotations": []}
{"role": "volunteer", "content": "No, it's fine. You don't need to do it. It it'll work, it'll work right as a right there. Yes, good, OK, OK.", "session_id": 2983, "sequence_id": 402, "annotations": []}
{"role": "volunteer", "content": "Now, you see the blue circle in the middle.", "session_id": 2983, "sequence_id": 403, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 2983, "sequence_id": 404, "annotations": []}
{"role": "volunteer", "content": "Drag it to the, drag it to the ark, drag it to the ark.", "session_id": 2983, "sequence_id": 405, "annotations": []}
{"role": "volunteer", "content": "Yes, OK. Finally, now, draw an arc, see the top left, there's this big gray line at the top left.", "session_id": 2983, "sequence_id": 406, "annotations": []}
{"role": "student", "content": "Wait", "session_id": 2983, "sequence_id": 407, "annotations": []}
{"role": "student", "content": "Oh wait, this one", "session_id": 2983, "sequence_id": 408, "annotations": []}
{"role": "volunteer", "content": "Top left, yes. Yeah, yeah, draw an arc there.", "session_id": 2983, "sequence_id": 409, "annotations": []}
{"role": "student", "content": "Here, like that.", "session_id": 2983, "sequence_id": 410, "annotations": []}
{"role": "volunteer", "content": "Yeah, crossing it, crossing it.", "session_id": 2983, "sequence_id": 411, "annotations": []}
{"role": "student", "content": "like that.", "session_id": 2983, "sequence_id": 412, "annotations": []}
{"role": "volunteer", "content": "Now", "session_id": 2983, "sequence_id": 413, "annotations": []}
{"role": "volunteer", "content": "Yeah, I think, do you click line here? Yeah, I think you just click line here.", "session_id": 2983, "sequence_id": 414, "annotations": []}
{"role": "student", "content": "OK", "session_id": 2983, "sequence_id": 415, "annotations": []}
{"role": "volunteer", "content": "Uh, yeah, from option Y or like do Y, yeah. 2.", "session_id": 2983, "sequence_id": 416, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 2983, "sequence_id": 417, "annotations": []}
{"role": "student", "content": "like that.", "session_id": 2983, "sequence_id": 418, "annotations": []}
{"role": "volunteer", "content": "2 to the intersection of the arcs at the top left, right there, uh, yeah, it should work.", "session_id": 2983, "sequence_id": 419, "annotations": []}
{"role": "volunteer", "content": "Uh, OK, I don't know what it's talking about.", "session_id": 2983, "sequence_id": 420, "annotations": []}
{"role": "volunteer", "content": "That's fine OK.", "session_id": 2983, "sequence_id": 421, "annotations": []}
{"role": "student", "content": "with words, we don't we don't.", "session_id": 2983, "sequence_id": 422, "annotations": []}
{"role": "student", "content": "Can you help me with this one", "session_id": 2983, "sequence_id": 423, "annotations": []}
{"role": "volunteer", "content": "OK, yeah, the other ones should be easy, hopefully. Copy is.", "session_id": 2983, "sequence_id": 424, "annotations": []}
{"role": "volunteer", "content": "Uh, sure, this should be, um, OK, yeah, sure, this should be easy. So what is that asking us? Um", "session_id": 2983, "sequence_id": 425, "annotations": []}
{"role": "volunteer", "content": "there", "session_id": 2983, "sequence_id": 426, "annotations": [{"pii_type": "LOCATION", "surrogate": "there", "start": 0, "end": 5}]}
{"role": "volunteer", "content": "gray or sigma. OK, so they want uh to use a compass to straight edge. OK, uh, I know how to do this one. So,", "session_id": 2983, "sequence_id": 427, "annotations": []}
{"role": "volunteer", "content": "OK, finally, I understand the program. So what you're gonna do, I think first step", "session_id": 2983, "sequence_id": 428, "annotations": []}
{"role": "volunteer", "content": "I, I mean, I think, let me, oh, I got a notification. um", "session_id": 2983, "sequence_id": 429, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 2983, "sequence_id": 430, "annotations": []}
{"role": "volunteer", "content": "where is that", "session_id": 2983, "sequence_id": 431, "annotations": []}
{"role": "volunteer", "content": "All right.", "session_id": 2983, "sequence_id": 432, "annotations": []}
{"role": "volunteer", "content": "So, let me mute something.", "session_id": 2983, "sequence_id": 433, "annotations": []}
{"role": "student", "content": "It's OK. It's OK", "session_id": 2983, "sequence_id": 434, "annotations": []}
{"role": "volunteer", "content": "Let me mute something", "session_id": 2983, "sequence_id": 435, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 2983, "sequence_id": 436, "annotations": []}
{"role": "volunteer", "content": "OK, put a compass", "session_id": 2983, "sequence_id": 437, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 2983, "sequence_id": 438, "annotations": []}
{"role": "student", "content": "Oh, adrenaline, a primal thing.", "session_id": 2983, "sequence_id": 439, "annotations": []}
{"role": "volunteer", "content": "Put a compass from uh point A, no, sorry, sorry, that, yeah, that, yeah, the A in the lungs, the A in the line.", "session_id": 2983, "sequence_id": 440, "annotations": []}
{"role": "volunteer", "content": "to the B in the line.", "session_id": 2983, "sequence_id": 441, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 2983, "sequence_id": 442, "annotations": []}
{"role": "volunteer", "content": "OK. After that, uh, let me think. I think, yeah, just draw an arquette. Let's see, just draw an arquet B, hopefully. Yeah, just draw on an arc", "session_id": 2983, "sequence_id": 443, "annotations": []}
{"role": "student", "content": "like that", "session_id": 2983, "sequence_id": 444, "annotations": []}
{"role": "student", "content": "OK", "session_id": 2983, "sequence_id": 445, "annotations": []}
{"role": "volunteer", "content": "Yeah, good, very good. OK. Now, I, I mean, I guess you could, let me do it on paper really quick. Oh, OK.", "session_id": 2983, "sequence_id": 446, "annotations": []}
{"role": "volunteer", "content": "Oh, no, I actually, it might be easier than I think. You see the middle circle at A.", "session_id": 2983, "sequence_id": 447, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 2983, "sequence_id": 448, "annotations": []}
{"role": "student", "content": "Wait, this one", "session_id": 2983, "sequence_id": 449, "annotations": []}
{"role": "volunteer", "content": "Uh, no, the, the other one, the blue circlelae.", "session_id": 2983, "sequence_id": 450, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 2983, "sequence_id": 451, "annotations": []}
{"role": "volunteer", "content": "drag that to another spot.", "session_id": 2983, "sequence_id": 452, "annotations": [{"pii_type": "LOCATION", "surrogate": "another spot", "start": 13, "end": 25}]}
{"role": "student", "content": "Oh, right", "session_id": 2983, "sequence_id": 453, "annotations": []}
{"role": "volunteer", "content": "OK, yup. Now draw an arc as the other blue line, the one that's not a a", "session_id": 2983, "sequence_id": 454, "annotations": []}
{"role": "student", "content": "excuse me.", "session_id": 2983, "sequence_id": 455, "annotations": []}
{"role": "volunteer", "content": "Yes, yeah", "session_id": 2983, "sequence_id": 456, "annotations": []}
{"role": "volunteer", "content": "after that", "session_id": 2983, "sequence_id": 457, "annotations": []}
{"role": "volunteer", "content": "I think you just", "session_id": 2983, "sequence_id": 458, "annotations": []}
{"role": "volunteer", "content": "draw a segment", "session_id": 2983, "sequence_id": 459, "annotations": []}
{"role": "volunteer", "content": "I think you just draw a segment", "session_id": 2983, "sequence_id": 460, "annotations": []}
{"role": "volunteer", "content": "to, yeah, draw a segment from A", "session_id": 2983, "sequence_id": 461, "annotations": []}
{"role": "volunteer", "content": "to like is a tall, no, to that to the arc above it.", "session_id": 2983, "sequence_id": 462, "annotations": []}
{"role": "student", "content": "like that", "session_id": 2983, "sequence_id": 463, "annotations": []}
{"role": "volunteer", "content": "it", "session_id": 2983, "sequence_id": 464, "annotations": []}
{"role": "volunteer", "content": "uh, a bit to the right", "session_id": 2983, "sequence_id": 465, "annotations": []}
{"role": "volunteer", "content": "a bit to, well no, uh, yeah, now put that, you put your cursor directly on the dark.", "session_id": 2983, "sequence_id": 466, "annotations": []}
{"role": "student", "content": "like, wait, is that?", "session_id": 2983, "sequence_id": 467, "annotations": []}
{"role": "volunteer", "content": "But uh", "session_id": 2983, "sequence_id": 468, "annotations": []}
{"role": "volunteer", "content": "uh, yeah, no, but on the arc, yours is above the arc. Yes, right there.", "session_id": 2983, "sequence_id": 469, "annotations": []}
{"role": "volunteer", "content": "Yeah.", "session_id": 2983, "sequence_id": 470, "annotations": []}
{"role": "student", "content": "Oh, on the ark", "session_id": 2983, "sequence_id": 471, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 2983, "sequence_id": 472, "annotations": []}
{"role": "volunteer", "content": "Oh, submit answer. Hopefully that works.", "session_id": 2983, "sequence_id": 473, "annotations": []}
{"role": "student", "content": "It worked", "session_id": 2983, "sequence_id": 474, "annotations": []}
{"role": "volunteer", "content": "OK, great. Now, OK, oh my gosh, that was rough.", "session_id": 2983, "sequence_id": 475, "annotations": []}
{"role": "student", "content": "I'm sorry, like this.", "session_id": 2983, "sequence_id": 476, "annotations": []}
{"role": "volunteer", "content": "Yeah, I know, I know. I", "session_id": 2983, "sequence_id": 477, "annotations": []}
{"role": "student", "content": "it's a lot like I couldn't understand it and", "session_id": 2983, "sequence_id": 478, "annotations": []}
{"role": "volunteer", "content": "Yeah, it's, it's fine, it's fine. I've used, I, I had this exact program. It's not the best, but", "session_id": 2983, "sequence_id": 479, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 2983, "sequence_id": 480, "annotations": []}
{"role": "volunteer", "content": "I.", "session_id": 2983, "sequence_id": 481, "annotations": []}
{"role": "volunteer", "content": "so now", "session_id": 2983, "sequence_id": 482, "annotations": []}
{"role": "volunteer", "content": "let's see. Uh, what is this use a compass to", "session_id": 2983, "sequence_id": 483, "annotations": []}
{"role": "volunteer", "content": "use a compass to conceal", "session_id": 2983, "sequence_id": 484, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 2983, "sequence_id": 485, "annotations": []}
{"role": "volunteer", "content": "Uh, perpendicular. Do you have a, OK, OK, I get it, I get it. So how you would do this?", "session_id": 2983, "sequence_id": 486, "annotations": []}
{"role": "volunteer", "content": "First, let me do on paper. Let me think.", "session_id": 2983, "sequence_id": 487, "annotations": []}
{"role": "student", "content": "I", "session_id": 2983, "sequence_id": 488, "annotations": []}
{"role": "volunteer", "content": "OK, OK. Yeah, OK. So draw a compass from", "session_id": 2983, "sequence_id": 489, "annotations": []}
{"role": "volunteer", "content": "from, I guess, uh W.", "session_id": 2983, "sequence_id": 490, "annotations": []}
{"role": "student", "content": "OK", "session_id": 2983, "sequence_id": 491, "annotations": []}
{"role": "volunteer", "content": "to like right below X", "session_id": 2983, "sequence_id": 492, "annotations": []}
{"role": "student", "content": "Wait, 00, like that.", "session_id": 2983, "sequence_id": 493, "annotations": []}
{"role": "volunteer", "content": "to like right below, like no, yeah, but um, yeah, yeah, sure, that works. Then, oh, yeah, OK. Draw an arc", "session_id": 2983, "sequence_id": 494, "annotations": []}
{"role": "volunteer", "content": "draw an arc like, let me think, like, OK, yeah. Draw an arc, so go to the top left of the circle.", "session_id": 2983, "sequence_id": 495, "annotations": []}
{"role": "volunteer", "content": "Draw, OK, you see the middle, the blue circle on the top.", "session_id": 2983, "sequence_id": 496, "annotations": []}
{"role": "student", "content": "This one", "session_id": 2983, "sequence_id": 497, "annotations": []}
{"role": "volunteer", "content": "Yeah, draw a big arc, uh, passing through it. That doesn't go through, yes, from there, uh-huh.", "session_id": 2983, "sequence_id": 498, "annotations": []}
{"role": "student", "content": "Like that", "session_id": 2983, "sequence_id": 499, "annotations": []}
{"role": "volunteer", "content": "Yeah.", "session_id": 2983, "sequence_id": 500, "annotations": []}
{"role": "volunteer", "content": "Sure. Uh, yeah, now make it bigger on both sides.", "session_id": 2983, "sequence_id": 501, "annotations": []}
{"role": "student", "content": "here too", "session_id": 2983, "sequence_id": 502, "annotations": []}
{"role": "volunteer", "content": "No, no, no, just on the top, make it bigger on both sides. It should be a little bigger than that.", "session_id": 2983, "sequence_id": 503, "annotations": []}
{"role": "student", "content": "Oh, like uh more bigger.", "session_id": 2983, "sequence_id": 504, "annotations": []}
{"role": "volunteer", "content": "Yeah.", "session_id": 2983, "sequence_id": 505, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 2983, "sequence_id": 506, "annotations": []}
{"role": "student", "content": "Oh my god, wait, I wait, I let it go away.", "session_id": 2983, "sequence_id": 507, "annotations": []}
{"role": "student", "content": "Like that.", "session_id": 2983, "sequence_id": 508, "annotations": []}
{"role": "volunteer", "content": "It's one, it's one, this one. It is the same thing, yes.", "session_id": 2983, "sequence_id": 509, "annotations": []}
{"role": "volunteer", "content": "Uh, yeah, on the other side too, on the other side too, it should be like symmetrical.", "session_id": 2983, "sequence_id": 510, "annotations": []}
{"role": "volunteer", "content": "So on the left side, now on", "session_id": 2983, "sequence_id": 511, "annotations": []}
{"role": "student", "content": "Wait, this one too.", "session_id": 2983, "sequence_id": 512, "annotations": []}
{"role": "volunteer", "content": "no, just on the right side, your arc is slightly bigger than the left, like, just make it a bit bigger on the left.", "session_id": 2983, "sequence_id": 513, "annotations": []}
{"role": "volunteer", "content": "Yeah, yeah, yeah, a little bit there, good. OK, that, that, that will do. So now,", "session_id": 2983, "sequence_id": 514, "annotations": []}
{"role": "volunteer", "content": "uh, I think, oh yeah, you take the one at W, you, you drag the blue thing at W.", "session_id": 2983, "sequence_id": 515, "annotations": []}
{"role": "student", "content": "This one, wait, this one.", "session_id": 2983, "sequence_id": 516, "annotations": []}
{"role": "volunteer", "content": "Uh, the one on the bottom, no, the one at the bottom, the one that's on W and you drag it to X.", "session_id": 2983, "sequence_id": 517, "annotations": []}
{"role": "volunteer", "content": "uh uh no, above that, above that, drag it to the one that's on X, yeah.", "session_id": 2983, "sequence_id": 518, "annotations": []}
{"role": "student", "content": "Oh, no", "session_id": 2983, "sequence_id": 519, "annotations": []}
{"role": "volunteer", "content": "good", "session_id": 2983, "sequence_id": 520, "annotations": []}
{"role": "volunteer", "content": "Now, draw an arc, or yeah, draw an arc at the bottom, you see it. You see, um, yeah, from there, yeah, from there.", "session_id": 2983, "sequence_id": 521, "annotations": []}
{"role": "volunteer", "content": "Yeah, from there to there, yeah, good, good, good.", "session_id": 2983, "sequence_id": 522, "annotations": []}
{"role": "student", "content": "It has to intersect.", "session_id": 2983, "sequence_id": 523, "annotations": []}
{"role": "volunteer", "content": "Yeah, it has to intersect, yes", "session_id": 2983, "sequence_id": 524, "annotations": []}
{"role": "volunteer", "content": "All right. Oh, fun. OK, good. After that, after that, let me think, I do on paper.", "session_id": 2983, "sequence_id": 525, "annotations": []}
{"role": "student", "content": "Sarah", "session_id": 2983, "sequence_id": 526, "annotations": [{"pii_type": "PERSON", "surrogate": "Sarah", "start": 0, "end": 5}]}
{"role": "student", "content": "you", "session_id": 2983, "sequence_id": 527, "annotations": []}
{"role": "volunteer", "content": "OK, yeah, so now you draw a click line", "session_id": 2983, "sequence_id": 528, "annotations": []}
{"role": "student", "content": "Oh, OK", "session_id": 2983, "sequence_id": 529, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 2983, "sequence_id": 530, "annotations": []}
{"role": "volunteer", "content": "So you do do you see where the two arcs are intersecting as you see there's like an, yes, yes, yes, yes, right there.", "session_id": 2983, "sequence_id": 531, "annotations": []}
{"role": "student", "content": "Do I make a line there?", "session_id": 2983, "sequence_id": 532, "annotations": []}
{"role": "volunteer", "content": "Yeah, and you may go on there.", "session_id": 2983, "sequence_id": 533, "annotations": []}
{"role": "student", "content": "Like that", "session_id": 2983, "sequence_id": 534, "annotations": []}
{"role": "volunteer", "content": "Yes", "session_id": 2983, "sequence_id": 535, "annotations": []}
{"role": "volunteer", "content": "Uh, I, yeah, is that it? I, I think that's", "session_id": 2983, "sequence_id": 536, "annotations": []}
{"role": "student", "content": "Do you want me to submit or?", "session_id": 2983, "sequence_id": 537, "annotations": []}
{"role": "volunteer", "content": "um, yeah, now it's ready, so just submit.", "session_id": 2983, "sequence_id": 538, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 2983, "sequence_id": 539, "annotations": []}
{"role": "student", "content": "It's correct", "session_id": 2983, "sequence_id": 540, "annotations": []}
{"role": "volunteer", "content": "All right", "session_id": 2983, "sequence_id": 541, "annotations": []}
{"role": "student", "content": "Like", "session_id": 2983, "sequence_id": 542, "annotations": []}
{"role": "volunteer", "content": "How many more? So it's probably like 33 questions.", "session_id": 2983, "sequence_id": 543, "annotations": []}
{"role": "student", "content": "yeah, we got this.", "session_id": 2983, "sequence_id": 544, "annotations": []}
{"role": "volunteer", "content": "All right. Perpendicular line through a point, OK.", "session_id": 2983, "sequence_id": 545, "annotations": []}
{"role": "student", "content": "Mhm", "session_id": 2983, "sequence_id": 546, "annotations": []}
{"role": "volunteer", "content": "Oh, OK, off online. hmm. OK. Oh, OK. I think this is a, isn't this, I think this is the exact same, right? Now, almost the exact same, OK.", "session_id": 2983, "sequence_id": 547, "annotations": []}
{"role": "student", "content": "Kind of", "session_id": 2983, "sequence_id": 548, "annotations": []}
{"role": "volunteer", "content": "Let me, yeah, OK, OK, let me yeah, let me go on paper really quick, um.", "session_id": 2983, "sequence_id": 549, "annotations": []}
{"role": "student", "content": "It's OK, it's OK", "session_id": 2983, "sequence_id": 550, "annotations": []}
{"role": "volunteer", "content": "yeah.", "session_id": 2983, "sequence_id": 551, "annotations": []}
{"role": "student", "content": "Beta.", "session_id": 2983, "sequence_id": 552, "annotations": []}
{"role": "student", "content": "well.", "session_id": 2983, "sequence_id": 553, "annotations": []}
{"role": "student", "content": "e kwondo. Hey, man, but there mepicabelo you gonna I want then I think it's vinitomirapevino.", "session_id": 2983, "sequence_id": 554, "annotations": [{"pii_type": "LOCATION", "surrogate": "there", "start": 24, "end": 29}]}
{"role": "volunteer", "content": "OK, um, so click, all right, click Compass, click compass.", "session_id": 2983, "sequence_id": 555, "annotations": []}
{"role": "student", "content": "OK", "session_id": 2983, "sequence_id": 556, "annotations": []}
{"role": "volunteer", "content": "uh, click A.", "session_id": 2983, "sequence_id": 557, "annotations": []}
{"role": "student", "content": "The good", "session_id": 2983, "sequence_id": 558, "annotations": []}
{"role": "student", "content": "OK", "session_id": 2983, "sequence_id": 559, "annotations": []}
{"role": "volunteer", "content": "Uh, draw it like below the line, like right below the line, not, not in the, yeah, uh, no, oh, but like that's above, drop below.", "session_id": 2983, "sequence_id": 560, "annotations": []}
{"role": "student", "content": "Oh", "session_id": 2983, "sequence_id": 561, "annotations": []}
{"role": "volunteer", "content": "OK. Yeah, yeah, that sure, that'll work.", "session_id": 2983, "sequence_id": 562, "annotations": []}
{"role": "student", "content": "I", "session_id": 2983, "sequence_id": 563, "annotations": []}
{"role": "student", "content": "I", "session_id": 2983, "sequence_id": 564, "annotations": []}
{"role": "volunteer", "content": "OK. Now, let me think, use a, OK, cool. So yeah, you do that now, is that you're a little compass circle intersects the line at two points, draw arcs as a as a parts that the compass circle intersects, small, small arcs, small arcs on each side.", "session_id": 2983, "sequence_id": 565, "annotations": []}
{"role": "student", "content": "Wait", "session_id": 2983, "sequence_id": 566, "annotations": []}
{"role": "student", "content": "Where do we draws again?", "session_id": 2983, "sequence_id": 567, "annotations": []}
{"role": "volunteer", "content": "Oh, where the compass circle intersects the black line.", "session_id": 2983, "sequence_id": 568, "annotations": []}
{"role": "student", "content": "Oh, small circles.", "session_id": 2983, "sequence_id": 569, "annotations": []}
{"role": "volunteer", "content": "Yeah, small arcs, yeah", "session_id": 2983, "sequence_id": 570, "annotations": []}
{"role": "student", "content": "This one?", "session_id": 2983, "sequence_id": 571, "annotations": []}
{"role": "volunteer", "content": "Yeah.", "session_id": 2983, "sequence_id": 572, "annotations": []}
{"role": "volunteer", "content": "And then as that side too", "session_id": 2983, "sequence_id": 573, "annotations": []}
{"role": "student", "content": "Yes.", "session_id": 2983, "sequence_id": 574, "annotations": []}
{"role": "volunteer", "content": "OK, good. After that, you drag, I, I guess you could", "session_id": 2983, "sequence_id": 575, "annotations": []}
{"role": "volunteer", "content": "OK.", "session_id": 2983, "sequence_id": 576, "annotations": []}
{"role": "student", "content": "With the ball and not not myseo.", "session_id": 2983, "sequence_id": 577, "annotations": []}
{"role": "volunteer", "content": "Mm, let me see. Let me do my paper.", "session_id": 2983, "sequence_id": 578, "annotations": []}
{"role": "student", "content": "they don't you know.", "session_id": 2983, "sequence_id": 579, "annotations": []}
{"role": "student", "content": "I'm glossy", "session_id": 2983, "sequence_id": 580, "annotations": []}
{"role": "student", "content": "Don't need to say.", "session_id": 2983, "sequence_id": 581, "annotations": []}
{"role": "volunteer", "content": "OK. So now, draw, uh, you see the blue circle at A?", "session_id": 2983, "sequence_id": 582, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 2983, "sequence_id": 583, "annotations": []}
{"role": "volunteer", "content": "move that to the arc on the right.", "session_id": 2983, "sequence_id": 584, "annotations": []}
{"role": "student", "content": "OK", "session_id": 2983, "sequence_id": 585, "annotations": []}
{"role": "volunteer", "content": "OK, sure, something like that. Now, OK, I think", "session_id": 2983, "sequence_id": 586, "annotations": []}
{"role": "volunteer", "content": "you let me think, uh, let me do a double check on paper. So after you do that,", "session_id": 2983, "sequence_id": 587, "annotations": []}
{"role": "volunteer", "content": "OK, I", "session_id": 2983, "sequence_id": 588, "annotations": []}
{"role": "volunteer", "content": "think", "session_id": 2983, "sequence_id": 589, "annotations": []}
{"role": "student", "content": "I mean somebody has", "session_id": 2983, "sequence_id": 590, "annotations": []}
{"role": "student", "content": "too", "session_id": 2983, "sequence_id": 591, "annotations": []}
{"role": "volunteer", "content": "you draw, you draw an arc.", "session_id": 2983, "sequence_id": 592, "annotations": []}
{"role": "volunteer", "content": "of", "session_id": 2983, "sequence_id": 593, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 2983, "sequence_id": 594, "annotations": []}
{"role": "student", "content": "Taparejo wait, sorry, I'm sorry.", "session_id": 2983, "sequence_id": 595, "annotations": []}
{"role": "volunteer", "content": "No, I'll go, all good. So there's two blue, blue circles, right? One's on the line and one isn't, right?", "session_id": 2983, "sequence_id": 596, "annotations": []}
{"role": "volunteer", "content": "Yeah, yeah.", "session_id": 2983, "sequence_id": 597, "annotations": []}
{"role": "student", "content": "Well, yeah, there's like two circus once, yeah, one on the line and one is a yeah.", "session_id": 2983, "sequence_id": 598, "annotations": []}
{"role": "student", "content": "Wait", "session_id": 2983, "sequence_id": 599, "annotations": []}
{"role": "volunteer", "content": "So the one that's not on the line. Draw like a big arc to the left of it, to the left of it, but make sure it doesn't intersect the line.", "session_id": 2983, "sequence_id": 600, "annotations": []}
{"role": "student", "content": "wait over", "session_id": 2983, "sequence_id": 601, "annotations": []}
{"role": "volunteer", "content": "Yeah, so that blue circle, drawn arc to the oh", "session_id": 2983, "sequence_id": 602, "annotations": []}
{"role": "volunteer", "content": "oh, don't, don't move it, don't move it.", "session_id": 2983, "sequence_id": 603, "annotations": []}
{"role": "volunteer", "content": "Let me, uh, wait, shoot. OK, OK, 1 2nd, 1 2nd, I don't know.", "session_id": 2983, "sequence_id": 604, "annotations": []}
{"role": "student", "content": "Wait, oh my God, I'm sorry.", "session_id": 2983, "sequence_id": 605, "annotations": []}
{"role": "volunteer", "content": "No, it's not that big of a deal. I think, uh", "session_id": 2983, "sequence_id": 606, "annotations": []}
{"role": "student", "content": "I'm sorry. Oh my god. I was trying to like make the arc, but.", "session_id": 2983, "sequence_id": 607, "annotations": []}
{"role": "volunteer", "content": "OK, it's fine, it's fine. I guess the only way to do it is, OK, double click uh Compass, double click compass, it should be fine.", "session_id": 2983, "sequence_id": 608, "annotations": []}
{"role": "volunteer", "content": "Double click compass", "session_id": 2983, "sequence_id": 609, "annotations": []}
{"role": "student", "content": "OK", "session_id": 2983, "sequence_id": 610, "annotations": []}
{"role": "volunteer", "content": "uh click compass, uh, wait, yeah.", "session_id": 2983, "sequence_id": 611, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 2983, "sequence_id": 612, "annotations": []}
{"role": "volunteer", "content": "OK, now click A, click A.", "session_id": 2983, "sequence_id": 613, "annotations": []}
{"role": "student", "content": "OK", "session_id": 2983, "sequence_id": 614, "annotations": []}
{"role": "volunteer", "content": "Draw, yeah, click A.", "session_id": 2983, "sequence_id": 615, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 2983, "sequence_id": 616, "annotations": []}
{"role": "volunteer", "content": "Draw, do the same thing where you draw below the line. Oh.", "session_id": 2983, "sequence_id": 617, "annotations": []}
{"role": "volunteer", "content": "below the line", "session_id": 2983, "sequence_id": 618, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 2983, "sequence_id": 619, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 2983, "sequence_id": 620, "annotations": []}
{"role": "volunteer", "content": "All right, sure, something like that. Yeah, OK. Now, draw uh arcs, draw arcs, to where it intersects the lines, small arcs.", "session_id": 2983, "sequence_id": 621, "annotations": []}
{"role": "student", "content": "Oh", "session_id": 2983, "sequence_id": 622, "annotations": []}
{"role": "volunteer", "content": "No, yeah, like that", "session_id": 2983, "sequence_id": 623, "annotations": []}
{"role": "student", "content": "like that", "session_id": 2983, "sequence_id": 624, "annotations": []}
{"role": "volunteer", "content": "Yup, and on the left side too.", "session_id": 2983, "sequence_id": 625, "annotations": []}
{"role": "volunteer", "content": "Now, the Blue circle at A move it to the right, uh, to the right arc.", "session_id": 2983, "sequence_id": 626, "annotations": []}
{"role": "student", "content": "This one.", "session_id": 2983, "sequence_id": 627, "annotations": []}
{"role": "volunteer", "content": "Yes, good. So after that,", "session_id": 2983, "sequence_id": 628, "annotations": []}
{"role": "volunteer", "content": "uh draw uh see the blue circle at the bottom?", "session_id": 2983, "sequence_id": 629, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 2983, "sequence_id": 630, "annotations": []}
{"role": "volunteer", "content": "Draw an arc to the left of it.", "session_id": 2983, "sequence_id": 631, "annotations": []}
{"role": "student", "content": "like that.", "session_id": 2983, "sequence_id": 632, "annotations": []}
{"role": "volunteer", "content": "Yeah, not intersecting the line, a bit bigger, a bit bigger. Yes, sure, right there. OK. Right there will work. After that", "session_id": 2983, "sequence_id": 633, "annotations": []}
{"role": "volunteer", "content": "I uh grabs the blue circle in the middle.", "session_id": 2983, "sequence_id": 634, "annotations": []}
{"role": "student", "content": "This one", "session_id": 2983, "sequence_id": 635, "annotations": []}
{"role": "volunteer", "content": "Yeah, and move it all the way to the arc on the left, the arc that's intersecting the line on the left.", "session_id": 2983, "sequence_id": 636, "annotations": []}
{"role": "student", "content": "Wait, this one.", "session_id": 2983, "sequence_id": 637, "annotations": []}
{"role": "volunteer", "content": "Yes", "session_id": 2983, "sequence_id": 638, "annotations": []}
{"role": "volunteer", "content": "OK. After that,", "session_id": 2983, "sequence_id": 639, "annotations": []}
{"role": "volunteer", "content": "uh, let me think.", "session_id": 2983, "sequence_id": 640, "annotations": []}
{"role": "volunteer", "content": "You draw? OK, see that big like see below the line, the big arc you drew below the line.", "session_id": 2983, "sequence_id": 641, "annotations": []}
{"role": "student", "content": "This one", "session_id": 2983, "sequence_id": 642, "annotations": []}
{"role": "volunteer", "content": "Yes, draw an arc intersecting that on the compass circle.", "session_id": 2983, "sequence_id": 643, "annotations": []}
{"role": "student", "content": "like this way, this way?", "session_id": 2983, "sequence_id": 644, "annotations": []}
{"role": "volunteer", "content": "Yeah, oh yeah, yeah, mhm, smaller, uh, small, make it, OK, it's fine, it's fine. That'll work.", "session_id": 2983, "sequence_id": 645, "annotations": []}
{"role": "volunteer", "content": "OK. OK, yeah, release? OK, good, that'll work. Now, you, I think you draw a line from A to where the arcs intersect. So yeah.", "session_id": 2983, "sequence_id": 646, "annotations": []}
{"role": "student", "content": "I click line", "session_id": 2983, "sequence_id": 647, "annotations": []}
{"role": "volunteer", "content": "I, I think you, I think you click on the line.", "session_id": 2983, "sequence_id": 648, "annotations": []}
{"role": "volunteer", "content": "Yeah, OK, try clicking online.", "session_id": 2983, "sequence_id": 649, "annotations": []}
{"role": "volunteer", "content": "Yeah, drop", "session_id": 2983, "sequence_id": 650, "annotations": []}
{"role": "volunteer", "content": "a line from A to where the arcs intersect.", "session_id": 2983, "sequence_id": 651, "annotations": []}
{"role": "student", "content": "Like that", "session_id": 2983, "sequence_id": 652, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 2983, "sequence_id": 653, "annotations": []}
{"role": "volunteer", "content": "I", "session_id": 2983, "sequence_id": 654, "annotations": []}
{"role": "student", "content": "doesn't", "session_id": 2983, "sequence_id": 655, "annotations": []}
{"role": "volunteer", "content": "I think that's it. It should just submit, we'll see.", "session_id": 2983, "sequence_id": 656, "annotations": []}
{"role": "student", "content": "No, it's", "session_id": 2983, "sequence_id": 657, "annotations": []}
{"role": "student", "content": "it was", "session_id": 2983, "sequence_id": 658, "annotations": []}
{"role": "student", "content": "OK, OK", "session_id": 2983, "sequence_id": 659, "annotations": []}
{"role": "volunteer", "content": "Yeah, oh yeah, it, it, it's purple on the, yeah, cause it's purple on the", "session_id": 2983, "sequence_id": 660, "annotations": []}
{"role": "student", "content": "right", "session_id": 2983, "sequence_id": 661, "annotations": []}
{"role": "volunteer", "content": "OK.", "session_id": 2983, "sequence_id": 662, "annotations": []}
{"role": "student", "content": "I unamal.", "session_id": 2983, "sequence_id": 663, "annotations": []}
{"role": "student", "content": "wait, I think I have to go to sleep soon.", "session_id": 2983, "sequence_id": 664, "annotations": []}
{"role": "volunteer", "content": "OK, we'll finish.", "session_id": 2983, "sequence_id": 665, "annotations": []}
{"role": "volunteer", "content": "Yeah, we have 2 more questions.", "session_id": 2983, "sequence_id": 666, "annotations": []}
{"role": "student", "content": "Well, it's OK, it's OK. We're almost done, but my mom just telling me that I have to go to sleep.", "session_id": 2983, "sequence_id": 667, "annotations": []}
{"role": "volunteer", "content": "OK, OK. Uh, all right. I'll do it my, the instructions fast, so try to um", "session_id": 2983, "sequence_id": 668, "annotations": []}
{"role": "student", "content": "No, it's OK. It's OK.", "session_id": 2983, "sequence_id": 669, "annotations": []}
{"role": "volunteer", "content": "right.", "session_id": 2983, "sequence_id": 670, "annotations": []}
{"role": "volunteer", "content": "right, I'll try to go, I'm, I'm gonna go fast, try keeping of the. OK, Compass on uh S do Compass on S.", "session_id": 2983, "sequence_id": 671, "annotations": []}
{"role": "student", "content": "OK", "session_id": 2983, "sequence_id": 672, "annotations": []}
{"role": "volunteer", "content": "and draw like um draw, sure, yeah, release it right there. Release it right there.", "session_id": 2983, "sequence_id": 673, "annotations": []}
{"role": "volunteer", "content": "OK. After that, draw an arc right below the uh draw arcs on where the line intersects at.", "session_id": 2983, "sequence_id": 674, "annotations": []}
{"role": "student", "content": "Oh, here", "session_id": 2983, "sequence_id": 675, "annotations": []}
{"role": "volunteer", "content": "on where the circle intersected lot, yeah, yeah, there.", "session_id": 2983, "sequence_id": 676, "annotations": []}
{"role": "volunteer", "content": "and the other spot", "session_id": 2983, "sequence_id": 677, "annotations": []}
{"role": "volunteer", "content": "OK, so after that", "session_id": 2983, "sequence_id": 678, "annotations": []}
{"role": "volunteer", "content": "uh let me uh, OK, OK, that's fine.", "session_id": 2983, "sequence_id": 679, "annotations": []}
{"role": "volunteer", "content": "Grab the blue circle at S.", "session_id": 2983, "sequence_id": 680, "annotations": []}
{"role": "student", "content": "This one", "session_id": 2983, "sequence_id": 681, "annotations": []}
{"role": "volunteer", "content": "It's like, yeah, the one in the middle and drag it to the arc, like to the top right of it.", "session_id": 2983, "sequence_id": 682, "annotations": []}
{"role": "volunteer", "content": "Yeah. Now,", "session_id": 2983, "sequence_id": 683, "annotations": []}
{"role": "volunteer", "content": "make the blue circle on the top left.", "session_id": 2983, "sequence_id": 684, "annotations": []}
{"role": "volunteer", "content": "uh, the top left blue circle.", "session_id": 2983, "sequence_id": 685, "annotations": []}
{"role": "volunteer", "content": "bigger, just uh move it a bit more, just make it bigger, like top move it top left, yeah, bigger, bigger, good, right there.", "session_id": 2983, "sequence_id": 686, "annotations": []}
{"role": "volunteer", "content": "Oh no, smaller, smaller, smaller, has to be, no, smaller, smaller.", "session_id": 2983, "sequence_id": 687, "annotations": []}
{"role": "volunteer", "content": "No, yeah, right there, right there, right there, good. OK. Now, after that, draw an arc uh draw an arc um, can I sketch this? OK, fine. Draw an arc, right above that blue line?", "session_id": 2983, "sequence_id": 688, "annotations": []}
{"role": "student", "content": "Uh, wait", "session_id": 2983, "sequence_id": 689, "annotations": []}
{"role": "student", "content": "wait", "session_id": 2983, "sequence_id": 690, "annotations": []}
{"role": "volunteer", "content": "Right above the blue cir um top left.", "session_id": 2983, "sequence_id": 691, "annotations": []}
{"role": "volunteer", "content": "OK.", "session_id": 2983, "sequence_id": 692, "annotations": []}
{"role": "student", "content": "here", "session_id": 2983, "sequence_id": 693, "annotations": []}
{"role": "volunteer", "content": "No, from, from the right where your mouse is like right there.", "session_id": 2983, "sequence_id": 694, "annotations": []}
{"role": "volunteer", "content": "Wait.", "session_id": 2983, "sequence_id": 695, "annotations": []}
{"role": "volunteer", "content": "OK, so see the, see the circle on the top left, blue circle on the top left.", "session_id": 2983, "sequence_id": 696, "annotations": []}
{"role": "student", "content": "Oh this one.", "session_id": 2983, "sequence_id": 697, "annotations": []}
{"role": "volunteer", "content": "Yes, right, move your mouse like right above it on the compass circle.", "session_id": 2983, "sequence_id": 698, "annotations": []}
{"role": "volunteer", "content": "Yeah, from, uh, there.", "session_id": 2983, "sequence_id": 699, "annotations": []}
{"role": "volunteer", "content": "draw and arc all the way, intersecting the line from there.", "session_id": 2983, "sequence_id": 700, "annotations": []}
{"role": "student", "content": "Like that", "session_id": 2983, "sequence_id": 701, "annotations": []}
{"role": "volunteer", "content": "passing the blue circle, passing the blue circle, no other way around, other way around.", "session_id": 2983, "sequence_id": 702, "annotations": []}
{"role": "student", "content": "Wait, how do I delete that one?", "session_id": 2983, "sequence_id": 703, "annotations": []}
{"role": "volunteer", "content": "Uh, no, on the above, it says undo. There's an undo bun.", "session_id": 2983, "sequence_id": 704, "annotations": []}
{"role": "volunteer", "content": "Hopefully that will work. On the um", "session_id": 2983, "sequence_id": 705, "annotations": []}
{"role": "student", "content": "This one.", "session_id": 2983, "sequence_id": 706, "annotations": []}
{"role": "volunteer", "content": "yeah.", "session_id": 2983, "sequence_id": 707, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 2983, "sequence_id": 708, "annotations": []}
{"role": "volunteer", "content": "OK, good. Now.", "session_id": 2983, "sequence_id": 709, "annotations": []}
{"role": "student", "content": "OK, this, this side", "session_id": 2983, "sequence_id": 710, "annotations": []}
{"role": "volunteer", "content": "Yes, but it has to pass the blue circle. So, yeah, right above that.", "session_id": 2983, "sequence_id": 711, "annotations": []}
{"role": "student", "content": "OK, so like this, like that.", "session_id": 2983, "sequence_id": 712, "annotations": []}
{"role": "volunteer", "content": "OK, uh, no, it's a bit smaller, a bit smaller.", "session_id": 2983, "sequence_id": 713, "annotations": []}
{"role": "student", "content": "wait", "session_id": 2983, "sequence_id": 714, "annotations": []}
{"role": "student", "content": "let me undo it", "session_id": 2983, "sequence_id": 715, "annotations": []}
{"role": "volunteer", "content": "OK.", "session_id": 2983, "sequence_id": 716, "annotations": []}
{"role": "volunteer", "content": "A bit uh bigger, slightly bigger", "session_id": 2983, "sequence_id": 717, "annotations": []}
{"role": "volunteer", "content": "bigger", "session_id": 2983, "sequence_id": 718, "annotations": []}
{"role": "student", "content": "OK", "session_id": 2983, "sequence_id": 719, "annotations": []}
{"role": "volunteer", "content": "uh slightly bigger, like, slight, yes, right there, right there, that's fine, that's good. Now, right crossing the top left blue circle, now crossing the top left blue circle.", "session_id": 2983, "sequence_id": 720, "annotations": []}
{"role": "student", "content": "Wait", "session_id": 2983, "sequence_id": 721, "annotations": []}
{"role": "volunteer", "content": "On the top left, just crossing the blue circle on the top left.", "session_id": 2983, "sequence_id": 722, "annotations": []}
{"role": "student", "content": "wait", "session_id": 2983, "sequence_id": 723, "annotations": []}
{"role": "volunteer", "content": "The", "session_id": 2983, "sequence_id": 724, "annotations": []}
{"role": "student", "content": "wait, wait. What? Like, I, I think it like that too, or?", "session_id": 2983, "sequence_id": 725, "annotations": []}
{"role": "volunteer", "content": "no, OK, OK. See how the arc you just drew, right?", "session_id": 2983, "sequence_id": 726, "annotations": []}
{"role": "student", "content": "OK", "session_id": 2983, "sequence_id": 727, "annotations": []}
{"role": "student", "content": "Oh, wait, I move it.", "session_id": 2983, "sequence_id": 728, "annotations": []}
{"role": "volunteer", "content": "They, no, no, don't, don't, don't, no, don't do anything. So, OK, you see the blue circle, the blue circle on the top left.", "session_id": 2983, "sequence_id": 729, "annotations": []}
{"role": "student", "content": "Oh, wait, this one", "session_id": 2983, "sequence_id": 730, "annotations": []}
{"role": "student", "content": "OK", "session_id": 2983, "sequence_id": 731, "annotations": []}
{"role": "volunteer", "content": "Yes, draw an arc cross connect the the archi, the big arc you you just drew, and slightly crossed it. Like, yes, from there.", "session_id": 2983, "sequence_id": 732, "annotations": []}
{"role": "volunteer", "content": "no other way, otherwise.", "session_id": 2983, "sequence_id": 733, "annotations": []}
{"role": "student", "content": "This, this way or this, this way.", "session_id": 2983, "sequence_id": 734, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 2983, "sequence_id": 735, "annotations": []}
{"role": "student", "content": "things like so connecting like that.", "session_id": 2983, "sequence_id": 736, "annotations": []}
{"role": "volunteer", "content": "Yes, yes", "session_id": 2983, "sequence_id": 737, "annotations": []}
{"role": "student", "content": "OK, like that", "session_id": 2983, "sequence_id": 738, "annotations": []}
{"role": "volunteer", "content": "Yeah, and now do that above, like above, like.", "session_id": 2983, "sequence_id": 739, "annotations": []}
{"role": "student", "content": "Wait, do I keep doing it, or?", "session_id": 2983, "sequence_id": 740, "annotations": []}
{"role": "volunteer", "content": "more. No, go, OK, move your mouse up", "session_id": 2983, "sequence_id": 741, "annotations": []}
{"role": "volunteer", "content": "up.", "session_id": 2983, "sequence_id": 742, "annotations": []}
{"role": "volunteer", "content": "Yes, the below the stop, stop, stop. Go.", "session_id": 2983, "sequence_id": 743, "annotations": []}
{"role": "student", "content": "do I do it", "session_id": 2983, "sequence_id": 744, "annotations": []}
{"role": "volunteer", "content": "OK, no, you're not leave it, leave it, leave it, it's fine. OK.", "session_id": 2983, "sequence_id": 745, "annotations": []}
{"role": "volunteer", "content": "Now, let me remember. What's the final step? OK, so the, you see the blue circle in the middle.", "session_id": 2983, "sequence_id": 746, "annotations": []}
{"role": "student", "content": "OK", "session_id": 2983, "sequence_id": 747, "annotations": []}
{"role": "volunteer", "content": "Drag it, uh, to the arc on the complete bottom. The arc intersecting the line at the complete bottom.", "session_id": 2983, "sequence_id": 748, "annotations": []}
{"role": "student", "content": "That one.", "session_id": 2983, "sequence_id": 749, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 2983, "sequence_id": 750, "annotations": []}
{"role": "volunteer", "content": "Yes, yes, right there.", "session_id": 2983, "sequence_id": 751, "annotations": []}
{"role": "volunteer", "content": "Uh-huh", "session_id": 2983, "sequence_id": 752, "annotations": []}
{"role": "student", "content": "OK", "session_id": 2983, "sequence_id": 753, "annotations": []}
{"role": "student", "content": "Wait", "session_id": 2983, "sequence_id": 754, "annotations": []}
{"role": "volunteer", "content": "Now, draw last step, draw an arc, crossing, um, draw up OK, draw an arc. Yes, right there. Oh, you had, yes, crossing this, yes, yes, yes.", "session_id": 2983, "sequence_id": 755, "annotations": []}
{"role": "student", "content": "Like intersecting it.", "session_id": 2983, "sequence_id": 756, "annotations": []}
{"role": "volunteer", "content": "Yeah.", "session_id": 2983, "sequence_id": 757, "annotations": []}
{"role": "student", "content": "Like, oh my god, wait", "session_id": 2983, "sequence_id": 758, "annotations": []}
{"role": "volunteer", "content": "He stopped. 00, more than that, yeah, more than that.", "session_id": 2983, "sequence_id": 759, "annotations": []}
{"role": "student", "content": "Wait, can I do it?", "session_id": 2983, "sequence_id": 760, "annotations": []}
{"role": "student", "content": "So I", "session_id": 2983, "sequence_id": 761, "annotations": []}
{"role": "volunteer", "content": "No, that's fine. You don't need to, you don't need to, uh, yeah.", "session_id": 2983, "sequence_id": 762, "annotations": []}
{"role": "volunteer", "content": "Yes, mhm", "session_id": 2983, "sequence_id": 763, "annotations": []}
{"role": "student", "content": "I just continue from here. OK.", "session_id": 2983, "sequence_id": 764, "annotations": []}
{"role": "volunteer", "content": "Good, stop, stop. OK, stop.", "session_id": 2983, "sequence_id": 765, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 2983, "sequence_id": 766, "annotations": []}
{"role": "volunteer", "content": "Now, oh, OK, I think we're, OK, now do a line from S", "session_id": 2983, "sequence_id": 767, "annotations": []}
{"role": "volunteer", "content": "Wait, let me delete what's on my screen. OK, yeah, line from S", "session_id": 2983, "sequence_id": 768, "annotations": []}
{"role": "volunteer", "content": "do you", "session_id": 2983, "sequence_id": 769, "annotations": []}
{"role": "student", "content": "Wait, are you using the whiteboard?", "session_id": 2983, "sequence_id": 770, "annotations": []}
{"role": "volunteer", "content": "No, no, sorry, sorry, sorry, click line. No, I", "session_id": 2983, "sequence_id": 771, "annotations": []}
{"role": "volunteer", "content": "yeah.", "session_id": 2983, "sequence_id": 772, "annotations": []}
{"role": "student", "content": "00, wait, wait, blind. OK.", "session_id": 2983, "sequence_id": 773, "annotations": []}
{"role": "volunteer", "content": "Yeah, because I was drawing something, OK, not nothing. All right, so line on S", "session_id": 2983, "sequence_id": 774, "annotations": []}
{"role": "volunteer", "content": "click on S, boom.", "session_id": 2983, "sequence_id": 775, "annotations": []}
{"role": "student", "content": "OK. Oh, wait, like that.", "session_id": 2983, "sequence_id": 776, "annotations": []}
{"role": "volunteer", "content": "Yes, yes, yes, yes", "session_id": 2983, "sequence_id": 777, "annotations": []}
{"role": "student", "content": "Like, wait, like that", "session_id": 2983, "sequence_id": 778, "annotations": []}
{"role": "volunteer", "content": "because it's parapo are clear. Yes, yes, good job.", "session_id": 2983, "sequence_id": 779, "annotations": []}
{"role": "volunteer", "content": "OK, yeah, hopefully.", "session_id": 2983, "sequence_id": 780, "annotations": []}
{"role": "volunteer", "content": "Summit, yep", "session_id": 2983, "sequence_id": 781, "annotations": []}
{"role": "volunteer", "content": "Uh, one more, one more.", "session_id": 2983, "sequence_id": 782, "annotations": []}
{"role": "student", "content": "With yes. OK, one more.", "session_id": 2983, "sequence_id": 783, "annotations": []}
{"role": "volunteer", "content": "So what is it, constructing an angle bisector. OK.", "session_id": 2983, "sequence_id": 784, "annotations": []}
{"role": "volunteer", "content": "OK. So, use a compass to straight at, oh.", "session_id": 2983, "sequence_id": 785, "annotations": []}
{"role": "volunteer", "content": "OK. Uh, it should be easy. OK, I think I know how to do this. OK, uh, let me just, OK, Draw a, yeah, yeah, draw.", "session_id": 2983, "sequence_id": 786, "annotations": []}
{"role": "student", "content": "By the way, I have a question. Um, by the way, um, how do you, um, become a, a tutor.", "session_id": 2983, "sequence_id": 787, "annotations": []}
{"role": "volunteer", "content": "Um, how do you become a tutor? I", "session_id": 2983, "sequence_id": 788, "annotations": []}
{"role": "volunteer", "content": "Yeah, so", "session_id": 2983, "sequence_id": 789, "annotations": []}
{"role": "student", "content": "Like, do you need like a degree or do you need to be like a teacher or like", "session_id": 2983, "sequence_id": 790, "annotations": []}
{"role": "volunteer", "content": "for, for, um, for, for this specific website, you need to pass a test. So let's say, OK, in your case, if you wanted to tutor 6th graders in math, you would need to pass a 10th grade math test and earn a degree for, let's say for geometry, I had to pass the test to become a geometry tutor, but yeah, that's how it works. You have to kind", "session_id": 2983, "sequence_id": 791, "annotations": [{"pii_type": "GRADE_LEVEL", "surrogate": "10th grade", "start": 172, "end": 182}]}
{"role": "student", "content": "do they have um like chemistry or like anything related to like science.", "session_id": 2983, "sequence_id": 792, "annotations": []}
{"role": "volunteer", "content": "Yes, they have biology, chemistry, I think physics too. They have a lot of signs.", "session_id": 2983, "sequence_id": 793, "annotations": []}
{"role": "student", "content": "cause I'm really good at chemistry and I feel like I would like to tutor either chemistry or English.", "session_id": 2983, "sequence_id": 794, "annotations": []}
{"role": "volunteer", "content": "Yeah, sure, you could, uh, you need to make a tutoring account. You'd need to pass a test in chemistry, and then", "session_id": 2983, "sequence_id": 795, "annotations": []}
{"role": "volunteer", "content": "you", "session_id": 2983, "sequence_id": 796, "annotations": []}
{"role": "student", "content": "Well, do you take it in person or how, like how, how does it work? Do you know?", "session_id": 2983, "sequence_id": 797, "annotations": []}
{"role": "volunteer", "content": "no, you, you take it, you take it online, but some you take a 10 question test and you need to get an AD.", "session_id": 2983, "sequence_id": 798, "annotations": []}
{"role": "student", "content": "Well, it's only 10 questions.", "session_id": 2983, "sequence_id": 799, "annotations": []}
{"role": "volunteer", "content": "Yeah, it's like 10 to 14, something like that. But like, uh, the thing is, don't cheat cause that kind of screws up the people you're tutoring, but yeah, it's only like 10 to 14 questions.", "session_id": 2983, "sequence_id": 800, "annotations": []}
{"role": "student", "content": "Oh, OK, OK.", "session_id": 2983, "sequence_id": 801, "annotations": []}
{"role": "volunteer", "content": "Yeah, but I", "session_id": 2983, "sequence_id": 802, "annotations": []}
{"role": "student", "content": "Yeah, no, cause I was talking to this one girl, like, on the um https://www.example.org, and she told me that um it, it also comes for like, um, volunteer hours or something.", "session_id": 2983, "sequence_id": 803, "annotations": [{"pii_type": "URL", "surrogate": "https://www.example.org", "start": 64, "end": 87}]}
{"role": "volunteer", "content": "it does, it does. It, you know, for every, like you, they call, if you pass chemistry, you get a degree for chemistry. Uh, every degree you get, you also get you.", "session_id": 2983, "sequence_id": 804, "annotations": []}
{"role": "student", "content": "Wait, for, for this website or like?", "session_id": 2983, "sequence_id": 805, "annotations": []}
{"role": "volunteer", "content": "no for this website, for this website. For every like certification you get, they count at one hour volunteering, for some reason. So I have, um, I have like 7 certifications. Most of them are in math. And so since I have 7 certifications. They give me 7 volunteer hours plus the amount I tutor, so yeah.", "session_id": 2983, "sequence_id": 806, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 2983, "sequence_id": 807, "annotations": []}
{"role": "student", "content": "Oh wow. No cause when the girl told me all they give 3 hours. That was really interesting cause I, I really want tutoring, like I want a volunteer hours.", "session_id": 2983, "sequence_id": 808, "annotations": []}
{"role": "volunteer", "content": "Yeah, OK. Yeah, you could, you could definitely do.", "session_id": 2983, "sequence_id": 809, "annotations": []}
{"role": "student", "content": "But like how, like, uh, do you know like how to sign up or where to sign up. It's like in the website or is it like here?", "session_id": 2983, "sequence_id": 810, "annotations": []}
{"role": "volunteer", "content": "yeah, no, I, uh, on Google, I mean, I, I, I think on Google, I searched up UP Chief tutoring account sign up, and then I click the first option. So that's how you do it.", "session_id": 2983, "sequence_id": 811, "annotations": []}
{"role": "volunteer", "content": "But OK", "session_id": 2983, "sequence_id": 812, "annotations": []}
{"role": "student", "content": "Oh, OK, OK, thank you.", "session_id": 2983, "sequence_id": 813, "annotations": []}
{"role": "student", "content": "It's OK", "session_id": 2983, "sequence_id": 814, "annotations": []}
{"role": "volunteer", "content": "OK. Oh wait, yeah, of course. So, uh, sorry, my, I backtracked. So, OK, for, yeah, for the question, click Compass.", "session_id": 2983, "sequence_id": 815, "annotations": []}
{"role": "volunteer", "content": "click V", "session_id": 2983, "sequence_id": 816, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 2983, "sequence_id": 817, "annotations": []}
{"role": "volunteer", "content": "or I can't, yeah, that's a V. Um just draw one like slightly, like it's in the middle of the line.", "session_id": 2983, "sequence_id": 818, "annotations": []}
{"role": "volunteer", "content": "Uh, OK, no, you see your cursor, put it in the middle of the line, each line.", "session_id": 2983, "sequence_id": 819, "annotations": []}
{"role": "student", "content": "Oh, wait", "session_id": 2983, "sequence_id": 820, "annotations": []}
{"role": "student", "content": "wait.", "session_id": 2983, "sequence_id": 821, "annotations": []}
{"role": "student", "content": "Like that.", "session_id": 2983, "sequence_id": 822, "annotations": []}
{"role": "volunteer", "content": "Yeah, a bit, a bit higher, a bit higher.", "session_id": 2983, "sequence_id": 823, "annotations": []}
{"role": "volunteer", "content": "Yeah, sure, that'll work", "session_id": 2983, "sequence_id": 824, "annotations": []}
{"role": "volunteer", "content": "OK. Now, draw an arc on each point while where it's intersecting.", "session_id": 2983, "sequence_id": 825, "annotations": []}
{"role": "student", "content": "Like", "session_id": 2983, "sequence_id": 826, "annotations": []}
{"role": "student", "content": "huh?", "session_id": 2983, "sequence_id": 827, "annotations": []}
{"role": "volunteer", "content": "Yes, mhm", "session_id": 2983, "sequence_id": 828, "annotations": []}
{"role": "volunteer", "content": "And yes, there.", "session_id": 2983, "sequence_id": 829, "annotations": []}
{"role": "volunteer", "content": "Uh, then you drag the blue circle on the V.", "session_id": 2983, "sequence_id": 830, "annotations": []}
{"role": "student", "content": "The wait, oh.", "session_id": 2983, "sequence_id": 831, "annotations": []}
{"role": "student", "content": "wait, this one", "session_id": 2983, "sequence_id": 832, "annotations": []}
{"role": "student", "content": "Wait.", "session_id": 2983, "sequence_id": 833, "annotations": []}
{"role": "volunteer", "content": "uh is uh one on the bottom, the one that's V, yeah, and you drag it up, up, up, yes, right there.", "session_id": 2983, "sequence_id": 834, "annotations": []}
{"role": "volunteer", "content": "OK, so after that,", "session_id": 2983, "sequence_id": 835, "annotations": []}
{"role": "volunteer", "content": "after that, you draw and yeah, you draw an arc", "session_id": 2983, "sequence_id": 836, "annotations": []}
{"role": "volunteer", "content": "to the right of the middle of the, OK, she's a blue circle in the middle.", "session_id": 2983, "sequence_id": 837, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 2983, "sequence_id": 838, "annotations": []}
{"role": "volunteer", "content": "Draw an arc to the right, yes, right there.", "session_id": 2983, "sequence_id": 839, "annotations": []}
{"role": "volunteer", "content": "Yes, yes", "session_id": 2983, "sequence_id": 840, "annotations": []}
{"role": "volunteer", "content": "OK, good", "session_id": 2983, "sequence_id": 841, "annotations": []}
{"role": "student", "content": "Oh", "session_id": 2983, "sequence_id": 842, "annotations": []}
{"role": "volunteer", "content": "More, actually a bit more, like, yes.", "session_id": 2983, "sequence_id": 843, "annotations": []}
{"role": "volunteer", "content": "Uh-huh, yes, good. OK, that'll work. Now, draw, drag, sorry, drag the middle blue circle.", "session_id": 2983, "sequence_id": 844, "annotations": []}
{"role": "volunteer", "content": "to the other arc intersecting.", "session_id": 2983, "sequence_id": 845, "annotations": []}
{"role": "student", "content": "wait, this, this one", "session_id": 2983, "sequence_id": 846, "annotations": []}
{"role": "volunteer", "content": "Yes", "session_id": 2983, "sequence_id": 847, "annotations": []}
{"role": "volunteer", "content": "Now, uh, I think all you do, you just draw, OK, see the uh the other blue circles, the, the one that's intersecting an arc.", "session_id": 2983, "sequence_id": 848, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 2983, "sequence_id": 849, "annotations": []}
{"role": "volunteer", "content": "Don't drag it, don't drag it, don't drag it. Draw an arc intersecting that basically. So draw an arc, yes.", "session_id": 2983, "sequence_id": 850, "annotations": []}
{"role": "student", "content": "Oh, like, like that.", "session_id": 2983, "sequence_id": 851, "annotations": []}
{"role": "volunteer", "content": "Mhm.", "session_id": 2983, "sequence_id": 852, "annotations": []}
{"role": "student", "content": "Like that.", "session_id": 2983, "sequence_id": 853, "annotations": []}
{"role": "volunteer", "content": "Yeah, like that, and then all you do, I think you do a click array. I I hope it was, yeah, bisector. So yeah, you click uh array from V.", "session_id": 2983, "sequence_id": 854, "annotations": []}
{"role": "volunteer", "content": "to where the two arcs are intersected.", "session_id": 2983, "sequence_id": 855, "annotations": []}
{"role": "student", "content": "OK", "session_id": 2983, "sequence_id": 856, "annotations": []}
{"role": "volunteer", "content": "That's yeah", "session_id": 2983, "sequence_id": 857, "annotations": []}
{"role": "volunteer", "content": "And that should be it. All right, then.", "session_id": 2983, "sequence_id": 858, "annotations": []}
{"role": "student", "content": "Oh, thank you. Thank you so much.", "session_id": 2983, "sequence_id": 859, "annotations": []}
{"role": "volunteer", "content": "Yeah, all right, no problem. So, yeah, for the tutoring though, uh, before you end, for signing up, just one thing to keep in mind, there's other websites other than UP Chief for chemistry, you know, I can see which uh students are available and for which subjects. I don't have a chemistry degree, but", "session_id": 2983, "sequence_id": 860, "annotations": []}
{"role": "student", "content": "But you also tutor chemistry too?", "session_id": 2983, "sequence_id": 861, "annotations": []}
{"role": "volunteer", "content": "No, I don't. I don't have a chemistry degree, but it still shows me when somebody needs chemistry, and chemistry, it is, it shows up, but it is kind of rare. But chemistry and bio, they do kind of show up, but yeah, keep that in mind. So for you.", "session_id": 2983, "sequence_id": 862, "annotations": []}
{"role": "student", "content": "For up for upchi or what other website.", "session_id": 2983, "sequence_id": 863, "annotations": []}
{"role": "volunteer", "content": "I, I don't, for you, for up to you specifically, there's like occasionally there's chemistry, but it's not too often, so, yeah.", "session_id": 2983, "sequence_id": 864, "annotations": []}
{"role": "student", "content": "Wait, what's the most common one for UpT? And then like geometry or math.", "session_id": 2983, "sequence_id": 865, "annotations": []}
{"role": "volunteer", "content": "Wait, what did you say?", "session_id": 2983, "sequence_id": 866, "annotations": []}
{"role": "student", "content": "was like, um, like what's so often one, the students.", "session_id": 2983, "sequence_id": 867, "annotations": []}
{"role": "volunteer", "content": "The", "session_id": 2983, "sequence_id": 868, "annotations": []}
{"role": "volunteer", "content": "I, I, I think the most often one is, it's just called for some reason, it's called Reading, uh, yeah, it's just called reading.", "session_id": 2983, "sequence_id": 869, "annotations": []}
{"role": "student", "content": "Oh, so it's mostly for like reading or language arts.", "session_id": 2983, "sequence_id": 870, "annotations": []}
{"role": "volunteer", "content": "Yeah, no, it for UPG for online, it's reading and and 7th to 12th grade, um, 7th to 12th grade math, and some algebra levels, like algebra, 7th to 11th grade math and reading.", "session_id": 2983, "sequence_id": 871, "annotations": [{"pii_type": "LOCATION", "surrogate": "online", "start": 25, "end": 31}, {"pii_type": "GRADE_LEVEL", "surrogate": "12th grade", "start": 61, "end": 71}, {"pii_type": "GRADE_LEVEL", "surrogate": "12th grade", "start": 84, "end": 94}]}
{"role": "student", "content": "Oh, OK, OK.", "session_id": 2983, "sequence_id": 872, "annotations": []}
{"role": "student", "content": "Wait, by the way, um, can you also tutor, do you know https://www.study.com?", "session_id": 2983, "sequence_id": 873, "annotations": [{"pii_type": "URL", "surrogate": "https://www.study.com", "start": 54, "end": 75}]}
{"role": "volunteer", "content": "Uh, https://www.study.com. I've heard of it. Yeah, wait, let me, I, uh, there's a lot of websites, yeah, https://www.study.com, yeah, I've I've seen this.", "session_id": 2983, "sequence_id": 874, "annotations": [{"pii_type": "URL", "surrogate": "https://www.study.com", "start": 4, "end": 25}, {"pii_type": "URL", "surrogate": "https://www.study.com", "start": 105, "end": 126}]}
{"role": "volunteer", "content": "Do I", "session_id": 2983, "sequence_id": 875, "annotations": []}
{"role": "student", "content": "Can you, can you, um, like sign up for that too? Do you know or this is the only one that you're signed up for.", "session_id": 2983, "sequence_id": 876, "annotations": []}
{"role": "volunteer", "content": "um, for tutoring, oh, this is all right now, this is the", "session_id": 2983, "sequence_id": 877, "annotations": []}
{"role": "volunteer", "content": "uh only website I I signed up on because I, I, it's actually, it's very easy, like this, this website is easy to sign up for. It's really easy, but I think in like, I think soon I'm gonna sign up for more extensive websites other than.", "session_id": 2983, "sequence_id": 878, "annotations": []}
{"role": "student", "content": "Yeah, cause I've been like trying to like find how to sign up for like up to or like more like um volunteer hours or tutoring and stuff like that.", "session_id": 2983, "sequence_id": 879, "annotations": []}
{"role": "volunteer", "content": "OK, I, I, I can try.", "session_id": 2983, "sequence_id": 880, "annotations": []}
{"role": "volunteer", "content": "Uh, I will try to find, ah, I, I find, I found the, where you can sign up for UP Chief, or yeah.", "session_id": 2983, "sequence_id": 881, "annotations": [{"pii_type": "LOCATION", "surrogate": "UP Chief", "start": 78, "end": 86}]}
{"role": "student", "content": "Wait, how can you, like, how can you sign up?", "session_id": 2983, "sequence_id": 882, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 2983, "sequence_id": 883, "annotations": []}
{"role": "student", "content": "OK", "session_id": 2983, "sequence_id": 884, "annotations": []}
{"role": "volunteer", "content": "What you do, you search up on Google, on, on, I use Google. I searched up, um, up, I searched up UP Chief volunteer as a coach. You search up UP Chief volunteer as a coach, and first options that er", "session_id": 2983, "sequence_id": 885, "annotations": [{"pii_type": "LOCATION", "surrogate": "UP Chief", "start": 97, "end": 105}, {"pii_type": "LOCATION", "surrogate": "UP Chief", "start": 142, "end": 150}]}
{"role": "volunteer", "content": "yeah, clicks, OK, you know.", "session_id": 2983, "sequence_id": 886, "annotations": []}
{"role": "student", "content": "Wait, can you see my screen", "session_id": 2983, "sequence_id": 887, "annotations": []}
{"role": "volunteer", "content": "Oh yeah, uh, can I, let me see.", "session_id": 2983, "sequence_id": 888, "annotations": []}
{"role": "student", "content": "Wait, I, I'm gonna share it. Wait, let me, let me share my screen.", "session_id": 2983, "sequence_id": 889, "annotations": []}
{"role": "volunteer", "content": "Sure.", "session_id": 2983, "sequence_id": 890, "annotations": []}
{"role": "student", "content": "Can you see my screen?", "session_id": 2983, "sequence_id": 891, "annotations": []}
{"role": "volunteer", "content": "see", "session_id": 2983, "sequence_id": 892, "annotations": []}
{"role": "volunteer", "content": "Oh, I see your, yeah, scroll down.", "session_id": 2983, "sequence_id": 893, "annotations": []}
{"role": "volunteer", "content": "Uh, I, I, yeah, I think it's the second one, volunteer as a tutor.", "session_id": 2983, "sequence_id": 894, "annotations": []}
{"role": "volunteer", "content": "Start your journey", "session_id": 2983, "sequence_id": 895, "annotations": []}
{"role": "volunteer", "content": "He clicks start your journey.", "session_id": 2983, "sequence_id": 896, "annotations": []}
{"role": "student", "content": "I did", "session_id": 2983, "sequence_id": 897, "annotations": []}
{"role": "volunteer", "content": "Oh, your screen is frozen. Oh wait, is it not doing anything?", "session_id": 2983, "sequence_id": 898, "annotations": []}
{"role": "student", "content": "No, wait", "session_id": 2983, "sequence_id": 899, "annotations": []}
{"role": "student", "content": "wait, let me, let me see again.", "session_id": 2983, "sequence_id": 900, "annotations": []}
{"role": "student", "content": "Yeah, bring it to me here. I don't know why.", "session_id": 2983, "sequence_id": 901, "annotations": []}
{"role": "volunteer", "content": "Oh, let's", "session_id": 2983, "sequence_id": 902, "annotations": []}
{"role": "student", "content": "I don't, I don't think I can sign up for it, but cause it keeps bringing me to like,", "session_id": 2983, "sequence_id": 903, "annotations": []}
{"role": "volunteer", "content": "Wait, where is it bringing you? It doesn't tell me. Where is it bringing you?", "session_id": 2983, "sequence_id": 904, "annotations": []}
{"role": "student", "content": "oh it's not, oh, it's telling me to like, um, you know where like you want to achieve and they say, oh, hello, Jane, and like,", "session_id": 2983, "sequence_id": 905, "annotations": [{"pii_type": "PERSON", "surrogate": "Jane", "start": 111, "end": 115}]}
{"role": "student", "content": "the subjects I", "session_id": 2983, "sequence_id": 906, "annotations": []}
{"role": "volunteer", "content": "Oh, you know why? I'm guessing since you, it's trying to auto log in, uh, I get it, because you're a student, it doesn't let you. So I guess you'd have to click the sign up button. So go back to the start your journey instead of clicking that, click sign up.", "session_id": 2983, "sequence_id": 907, "annotations": []}
{"role": "student", "content": "Oh, OK. Can you see my screen?", "session_id": 2983, "sequence_id": 908, "annotations": []}
{"role": "volunteer", "content": "Yeah, I still see it, sign up.", "session_id": 2983, "sequence_id": 909, "annotations": []}
{"role": "student", "content": "Oh, no, it still keeps ringing me here. I don't know why.", "session_id": 2983, "sequence_id": 910, "annotations": []}
{"role": "volunteer", "content": "Huh. Yes, cause it's trying to automatically log into your student account.", "session_id": 2983, "sequence_id": 911, "annotations": []}
{"role": "student", "content": "Yeah, uh, it's OK.", "session_id": 2983, "sequence_id": 912, "annotations": []}
{"role": "volunteer", "content": "Uh, you're doing the same for me, OK, yeah, I for so just you, how you do this, if you don't have Jane's account on a different device, next time, go to a different device and sign a go to a different device where you don't have Jane logged in on, and then you click sign up and then it won't automatically log you in.", "session_id": 2983, "sequence_id": 913, "annotations": [{"pii_type": "PERSON", "surrogate": "Jane's account", "start": 98, "end": 112}, {"pii_type": "PERSON", "surrogate": "Jane", "start": 229, "end": 233}]}
{"role": "student", "content": "Oh, OK, OK. So I have to do it from another device?", "session_id": 2983, "sequence_id": 914, "annotations": []}
{"role": "volunteer", "content": "Yeah. Yeah, you know why? Because when you click sign up, it's just automatically logging into your student account. If you were to do it on a different device, it doesn't know your, like, it doesn't know you're Jane. It has no idea, so it thinks you're a different tutor. So yeah, go on a different device.", "session_id": 2983, "sequence_id": 915, "annotations": [{"pii_type": "PERSON", "surrogate": "Jane", "start": 212, "end": 216}]}
{"role": "student", "content": "Oh, yeah. I mean, I don't have my phone right now. My mom has it, so", "session_id": 2983, "sequence_id": 916, "annotations": []}
{"role": "student", "content": "yeah, I mean, I'm gonna try maybe tomorrow.", "session_id": 2983, "sequence_id": 917, "annotations": []}
{"role": "volunteer", "content": "Oh, OK. All right.", "session_id": 2983, "sequence_id": 918, "annotations": []}
{"role": "student", "content": "But thank you", "session_id": 2983, "sequence_id": 919, "annotations": []}
{"role": "volunteer", "content": "Yeah, all right, no problem", "session_id": 2983, "sequence_id": 920, "annotations": []}
{"role": "student", "content": "Also, I have one question. I'm sorry. Um, do they also have like um volunteer for like, um, like driver's ed or anything like that cause I've been having trouble with that.", "session_id": 2983, "sequence_id": 921, "annotations": []}
{"role": "volunteer", "content": "Oh, driver's edd for, for UP for for UP Chief specifically?", "session_id": 2983, "sequence_id": 922, "annotations": []}
{"role": "student", "content": "Um, well, yeah, well, not to be a tutor because I've, I've been having like trouble like.", "session_id": 2983, "sequence_id": 923, "annotations": []}
{"role": "volunteer", "content": "You mean to, to be tutored, to be tutored.", "session_id": 2983, "sequence_id": 924, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 2983, "sequence_id": 925, "annotations": []}
{"role": "student", "content": "Yeah, to be tutored, yeah, to be tutored.", "session_id": 2983, "sequence_id": 926, "annotations": []}
{"role": "volunteer", "content": "for, for up she is not, no, no, no, definitely not.", "session_id": 2983, "sequence_id": 927, "annotations": []}
{"role": "student", "content": "No", "session_id": 2983, "sequence_id": 928, "annotations": []}
{"role": "student", "content": "Uh", "session_id": 2983, "sequence_id": 929, "annotations": []}
{"role": "volunteer", "content": "Oh, let me check. No, it's not in my pen. I can, I can sign up. I can train for degrees, but it's no, it's not here, it's in none of the options.", "session_id": 2983, "sequence_id": 930, "annotations": []}
{"role": "student", "content": "uh, OK, it's OK.", "session_id": 2983, "sequence_id": 931, "annotations": []}
{"role": "volunteer", "content": "right", "session_id": 2983, "sequence_id": 932, "annotations": []}
{"role": "student", "content": "Thank you.", "session_id": 2983, "sequence_id": 933, "annotations": []}
{"role": "volunteer", "content": "Yeah, no problem", "session_id": 2983, "sequence_id": 934, "annotations": []}
{"role": "volunteer", "content": "All right", "session_id": 2983, "sequence_id": 935, "annotations": []}
{"role": "student", "content": "Have a nice day", "session_id": 2983, "sequence_id": 936, "annotations": []}
{"role": "volunteer", "content": "Yeah, you too. Bye", "session_id": 2983, "sequence_id": 937, "annotations": []}
{"role": "student", "content": "Bye", "session_id": 2983, "sequence_id": 938, "annotations": []}
{"role": "volunteer", "content": "Hello!", "session_id": 3253, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "hello!!", "session_id": 3253, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "I will share my screen and this is homework, not a test", "session_id": 3253, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "Okay! It seems you have the correct answer what is it that you need help with?", "session_id": 3253, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "oops i meant to tell you that i alreday did the first one and if you could check it, my bad", "session_id": 3253, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "Oh sorry! That's okay.", "session_id": 3253, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "no you're fine, you have nothing to be sorry for", "session_id": 3253, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "Thank you. For this question since it's asking for non-linear it needs to have a non-straight path. Meaning that it needs to go up and down or down and up. If it were asking for linear it would only go up or down.", "session_id": 3253, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "So let's start with the first one", "session_id": 3253, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "oki", "session_id": 3253, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "it goes down first, then up the next two times", "session_id": 3253, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "You can also find this by taking two of the points and using slope intercept form to see if the slopes are consistent.", "session_id": 3253, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "Yes, good point. It seems that all of these follow a rigid line of being positive or negative so there is likely a differentiation between slopes.", "session_id": 3253, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "Do you remember the formula to find slope?", "session_id": 3253, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "(y2-y1)/(x2-x1)--", "session_id": 3253, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "Great! Now we can apply that to our numbers in answer choice A.", "session_id": 3253, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "Can you see outside of the screenshare?", "session_id": 3253, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "could I do the positive ones?", "session_id": 3253, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "yes", "session_id": 3253, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "You could but it's best to compare two points so you can see the difference between slopes if there is one. If there is a difference it would mean it's nonlinear", "session_id": 3253, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "So what would the slope be here?", "session_id": 3253, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "umm", "session_id": 3253, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "can you help me?", "session_id": 3253, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "Sure!", "session_id": 3253, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "Since there is two negatives we could add them as positives.", "session_id": 3253, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "what is 1+9", "session_id": 3253, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "10", "session_id": 3253, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "and 4 minus two is 2", "session_id": 3253, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "and 10/2 would be?", "session_id": 3253, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "5", "session_id": 3253, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "Okay so we have that slope between two points", "session_id": 3253, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "now we can take another two points and compare them", "session_id": 3253, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "6,11?", "session_id": 3253, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "Yes exactly!", "session_id": 3253, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "by the first one?", "session_id": 3253, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "Yes as long as you don't use the same two points it will work.", "session_id": 3253, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "so what would this be equal to?", "session_id": 3253, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "5", "session_id": 3253, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "And for the other slope we got 5 as well, that means that it can't be A since both the slopes are the same.", "session_id": 3253, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "Does that concept make sense to you?", "session_id": 3253, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "yes", "session_id": 3253, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "It would be similar throughout the rest of the answer choices you would go through and do the same until they have differing slopes which would make it non-linear and you would have your answer.", "session_id": 3253, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "Do you want to go over the rest or do you think you understand?", "session_id": 3253, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "go over the rest", "session_id": 3253, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "Okay! Of course.", "session_id": 3253, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "Let's move to answer choice B.", "session_id": 3253, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "What two points do you want to use here?", "session_id": 3253, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "i already wrote it on the board", "session_id": 3253, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "Oh sorry. I was zoomed into the wrong portion", "session_id": 3253, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "Yes great work! Now you can take another two points as long as they are not exactly the same and find the slope for that as well.", "session_id": 3253, "sequence_id": 49, "annotations": []}
{"role": "student", "content": "not this one either", "session_id": 3253, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "Good work!", "session_id": 3253, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "Now we can move to answer choice C.", "session_id": 3253, "sequence_id": 52, "annotations": []}
{"role": "student", "content": "is that right?", "session_id": 3253, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "Try double checking your math on it what would be 6/2?", "session_id": 3253, "sequence_id": 54, "annotations": []}
{"role": "student", "content": "3", "session_id": 3253, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "Exactly so it should be 3", "session_id": 3253, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "Great now you can grab another two points and do the same thing", "session_id": 3253, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "Okay and since the slopes are different what would that mean for the question?", "session_id": 3253, "sequence_id": 58, "annotations": []}
{"role": "student", "content": "this is my answer", "session_id": 3253, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "Yes good work.", "session_id": 3253, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "Did doing that make sense?", "session_id": 3253, "sequence_id": 61, "annotations": []}
{"role": "student", "content": "yes", "session_id": 3253, "sequence_id": 62, "annotations": []}
{"role": "student", "content": "but this one i am stuck on just by reading it", "session_id": 3253, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "Okay so do you remember the formula for a linear function?", "session_id": 3253, "sequence_id": 64, "annotations": []}
{"role": "student", "content": "no", "session_id": 3253, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "Okay it is y=mx + b", "session_id": 3253, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "where m is the slope", "session_id": 3253, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "and b is the y intercept", "session_id": 3253, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "All linear functions", "session_id": 3253, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "Are capable of being arranged into this formula", "session_id": 3253, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "Your answer should be whichever one is NOT capable of being arranged into this formula.", "session_id": 3253, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "Does that make sense so far?", "session_id": 3253, "sequence_id": 72, "annotations": []}
{"role": "student", "content": "right, it does", "session_id": 3253, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "Great So we can start with answer choice A and attempt to get it into y=mx + b", "session_id": 3253, "sequence_id": 74, "annotations": []}
{"role": "volunteer", "content": "What should we do first?", "session_id": 3253, "sequence_id": 75, "annotations": []}
{"role": "student", "content": "isolate the y", "session_id": 3253, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "now we have to determine if this works as a line", "session_id": 3253, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "does this follow the format of y = mx + b?", "session_id": 3253, "sequence_id": 78, "annotations": []}
{"role": "student", "content": "yes?....", "session_id": 3253, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "Yes great! Glad that you noticed that, I know that it can be a little confusing at times but I want you to understand that with an equation like this the slope would actually be 0", "session_id": 3253, "sequence_id": 80, "annotations": []}
{"role": "volunteer", "content": "I could rewrite it like this if it makes more sense", "session_id": 3253, "sequence_id": 81, "annotations": []}
{"role": "student", "content": "oh okki", "session_id": 3253, "sequence_id": 82, "annotations": []}
{"role": "volunteer", "content": "So now that we know that A is linear we can move to answer choice B.", "session_id": 3253, "sequence_id": 83, "annotations": []}
{"role": "student", "content": "oki", "session_id": 3253, "sequence_id": 84, "annotations": []}
{"role": "volunteer", "content": "how would we start?", "session_id": 3253, "sequence_id": 85, "annotations": []}
{"role": "student", "content": "isolating just like last time", "session_id": 3253, "sequence_id": 86, "annotations": []}
{"role": "volunteer", "content": "Now we have to question does this follow linear solution format", "session_id": 3253, "sequence_id": 87, "annotations": []}
{"role": "volunteer", "content": "What do you think?", "session_id": 3253, "sequence_id": 88, "annotations": []}
{"role": "student", "content": "it is also linear", "session_id": 3253, "sequence_id": 89, "annotations": []}
{"role": "volunteer", "content": "Great!", "session_id": 3253, "sequence_id": 90, "annotations": []}
{"role": "volunteer", "content": "Now we can move on to answer choice C.", "session_id": 3253, "sequence_id": 91, "annotations": []}
{"role": "student", "content": "now we isolate the y again", "session_id": 3253, "sequence_id": 92, "annotations": []}
{"role": "volunteer", "content": "The y is already isolated here, now this is just the concept of truly understanding the linear function.", "session_id": 3253, "sequence_id": 93, "annotations": []}
{"role": "volunteer", "content": "What do you think? Linear or non-linear?", "session_id": 3253, "sequence_id": 94, "annotations": []}
{"role": "student", "content": "linear", "session_id": 3253, "sequence_id": 95, "annotations": []}
{"role": "volunteer", "content": "It would actually be non-linear.", "session_id": 3253, "sequence_id": 96, "annotations": []}
{"role": "student", "content": "ohh", "session_id": 3253, "sequence_id": 97, "annotations": []}
{"role": "volunteer", "content": "With the equation y=mx + b", "session_id": 3253, "sequence_id": 98, "annotations": []}
{"role": "volunteer", "content": "you cannot have an exponent associated with your x", "session_id": 3253, "sequence_id": 99, "annotations": []}
{"role": "volunteer", "content": "the x should not be changed at all realistically", "session_id": 3253, "sequence_id": 100, "annotations": []}
{"role": "volunteer", "content": "Sorry, have to tend to something I'll be right back.", "session_id": 3253, "sequence_id": 101, "annotations": []}
{"role": "volunteer", "content": "Hello I am back now", "session_id": 3253, "sequence_id": 102, "annotations": []}
{"role": "student", "content": "hello", "session_id": 3253, "sequence_id": 103, "annotations": []}
{"role": "student", "content": "i went to the next one", "session_id": 3253, "sequence_id": 104, "annotations": []}
{"role": "volunteer", "content": "Okay that's fine! Seems to be a similar question so we will handle it in a similar fashion", "session_id": 3253, "sequence_id": 105, "annotations": []}
{"role": "volunteer", "content": "Let's start with answer choice A.", "session_id": 3253, "sequence_id": 106, "annotations": []}
{"role": "student", "content": "this one is nonlinear", "session_id": 3253, "sequence_id": 107, "annotations": []}
{"role": "volunteer", "content": "Great! How are you able to tell?", "session_id": 3253, "sequence_id": 108, "annotations": []}
{"role": "student", "content": "it has a exponet on the x", "session_id": 3253, "sequence_id": 109, "annotations": []}
{"role": "volunteer", "content": "Good noticing!", "session_id": 3253, "sequence_id": 110, "annotations": []}
{"role": "student", "content": "so is b, because we look for isolating the y, not the x", "session_id": 3253, "sequence_id": 111, "annotations": []}
{"role": "volunteer", "content": "Awesome great work. Yes the answer is B as it's the only answer without an exponent on the x.", "session_id": 3253, "sequence_id": 112, "annotations": []}
{"role": "volunteer", "content": "This one is purely visual as it does not give us points to use.", "session_id": 3253, "sequence_id": 113, "annotations": []}
{"role": "volunteer", "content": "Based off of what you can see what do you think the one that increased the slowest would be?", "session_id": 3253, "sequence_id": 114, "annotations": []}
{"role": "volunteer", "content": "Keep in mind that the flatter they look the slower they increased", "session_id": 3253, "sequence_id": 115, "annotations": []}
{"role": "student", "content": "e", "session_id": 3253, "sequence_id": 116, "annotations": []}
{"role": "student", "content": "then b", "session_id": 3253, "sequence_id": 117, "annotations": []}
{"role": "volunteer", "content": "Yes great.", "session_id": 3253, "sequence_id": 118, "annotations": []}
{"role": "volunteer", "content": "Great work!", "session_id": 3253, "sequence_id": 119, "annotations": []}
{"role": "student", "content": "Thank you", "session_id": 3253, "sequence_id": 120, "annotations": []}
{"role": "student", "content": "YES!!!!!", "session_id": 3253, "sequence_id": 121, "annotations": []}
{"role": "volunteer", "content": "Good job!", "session_id": 3253, "sequence_id": 122, "annotations": []}
{"role": "student", "content": "I appreciate your help", "session_id": 3253, "sequence_id": 123, "annotations": []}
{"role": "volunteer", "content": "Of course no problem glad you were able to understand more.", "session_id": 3253, "sequence_id": 124, "annotations": []}
{"role": "student", "content": "yep. I f do not talk to you again soon, then have a great new year and merry christmas", "session_id": 3253, "sequence_id": 125, "annotations": []}
{"role": "student", "content": "if if", "session_id": 3253, "sequence_id": 126, "annotations": []}
{"role": "volunteer", "content": "You as well, wish you the best. Bye bye and good luck!", "session_id": 3253, "sequence_id": 127, "annotations": []}
{"role": "student", "content": "you too!", "session_id": 3253, "sequence_id": 128, "annotations": []}
{"role": "student", "content": "hello!", "session_id": 3287, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "Hi Emily.", "session_id": 3287, "sequence_id": 1, "annotations": [{"pii_type": "PERSON", "surrogate": "Emily", "start": 3, "end": 8}]}
{"role": "volunteer", "content": "How can I help.", "session_id": 3287, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "so i need help with inequalities, mostly wor problems", "session_id": 3287, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "word*", "session_id": 3287, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "So do you mean these <>", "session_id": 3287, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "yes", "session_id": 3287, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "So think of these symbols as mouthed pacman.", "session_id": 3287, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "This is one example", "session_id": 3287, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "7>6", "session_id": 3287, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "7 would be eaten because it is bigger", "session_id": 3287, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "So 7>", "session_id": 3287, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "Apart from 6", "session_id": 3287, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "You can see it this way.", "session_id": 3287, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "And if it is underlined", "session_id": 3287, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "Remember that is less than more than or equal", "session_id": 3287, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "sorry i am on >= and <=", "session_id": 3287, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "Right", "session_id": 3287, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "It means either more than or equal to", "session_id": 3287, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "yes", "session_id": 3287, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "So do you have ques about those?", "session_id": 3287, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "These are straightforward", "session_id": 3287, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "i do", "session_id": 3287, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "i know how to o them its just the wor problems", "session_id": 3287, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "Hey Maria! How are you?", "session_id": 3404, "sequence_id": 0, "annotations": [{"pii_type": "PERSON", "surrogate": "Maria", "start": 4, "end": 9}]}
{"role": "student", "content": "Hello, can you hear me?", "session_id": 3404, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "Hello", "session_id": 3404, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "Hey, yes I can", "session_id": 3404, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "Hello, I need help with some problems that my teacher provided prior to our test that will be taking place tomorrow and the teacher said that the questions on these then the sheet that he provided will be very similar to the ones on our test. So I need help understanding and deepening my knowledge on this topics and different scenarios and how different equations would apply to these. So I can do well on my test. Would you please be able to explain this throughout your mic because I tend to understand it better. Thank you so much.", "session_id": 3404, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "Sure yeah we can do that", "session_id": 3404, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "Great.", "session_id": 3404, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "just to clarify, have you already solved these or you want to solve them now with my help if needed?", "session_id": 3404, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "No, I haven't solved any of the problems. I don't know how to do them and I need help learning how to do them.", "session_id": 3404, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "I'm actually can we start from problem 5 because I already did number, I mean, can we start from number 6.", "session_id": 3404, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "Ok got it, no worries", "session_id": 3404, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "Yeah we can start from 6", "session_id": 3404, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "so first, it's a good idea to define the variables here", "session_id": 3404, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "Would you be able to use your mic throughout the the explanation cause I tend to understand a better daily.", "session_id": 3404, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "Yeah one second", "session_id": 3404, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "Hey, can you hear me?", "session_id": 3404, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "Yeah, I can hear you", "session_id": 3404, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "OK, awesome. Um, so,", "session_id": 3404, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "for the, for problem 6.", "session_id": 3404, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "uh, first, it's a good idea, like the way you solve it is to", "session_id": 3404, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "uh define the variables, so like you determine what variable is like your cost of slice of pizza, which variables like uh cost of one drink. That's a good way to start.", "session_id": 3404, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "OK", "session_id": 3404, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "So you can have like uh P, variable P equal to like the cost of one slice of pizza. And then like D is the cost of one drink. And then you can use that to like make an equation.", "session_id": 3404, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "Does that make kind of make sense", "session_id": 3404, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "So like that", "session_id": 3404, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "Yeah, so, so you got the equations correctly.", "session_id": 3404, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "Um, now, what do, what do you think the next step is here?", "session_id": 3404, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "Um, do we solve them?", "session_id": 3404, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "Yeah.", "session_id": 3404, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "And what, do you know which method you're gonna use for solving it?", "session_id": 3404, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "No, I'm not sure", "session_id": 3404, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "Mm.", "session_id": 3404, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "OK, no worries", "session_id": 3404, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "Um", "session_id": 3404, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "do you have an idea? Maybe you wanna do like uh substitution or like elimination.", "session_id": 3404, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "Do you, um,", "session_id": 3404, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "illumination.", "session_id": 3404, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "Yeah, elimination is the right choice.", "session_id": 3404, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "OK", "session_id": 3404, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "OK, so we can do that.", "session_id": 3404, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 3404, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "Feel free to write it down and we'll see.", "session_id": 3404, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "I actually went there that", "session_id": 3404, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "I'm sorry, could you just write that because I'm not really sure how I would do that.", "session_id": 3404, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "Yeah, so you'd want, uh, one of your like variables to be uh the same.", "session_id": 3404, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "together with the term. So you want both of these to become like uh 12%. That's how like elimination works. You want them to be the same and then you can like kind of cross them out. So basically, the way you would do it is like", "session_id": 3404, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "uh you'd multiply this first equation by 3.", "session_id": 3404, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "and you'd multiply the second one by 2.", "session_id": 3404, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "and then that way 3 times 4p is going to be 12p and then 2 times 6p is gonna be also 12p. and then you can kind of like cancel them out. And you would multiply 3 by 60 and 33 as well and do the same for the second equation. Does that make sense?", "session_id": 3404, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "Yeah, it's kind of making sense.", "session_id": 3404, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "OK. Well, that's good.", "session_id": 3404, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "That would be nice", "session_id": 3404, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "Do you think you'll be able to uh write it down here, what you would get.", "session_id": 3404, "sequence_id": 52, "annotations": []}
{"role": "student", "content": "bro.", "session_id": 3404, "sequence_id": 53, "annotations": []}
{"role": "student", "content": "Um, yeah, I'm gonna try it on my paper first and then I'll write the process down. Would that be OK?", "session_id": 3404, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "Yeah.", "session_id": 3404, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "Or you, or you can just tell me what you wrote down, uh, we can work that way. If you don't wanna like copy it to the whiteboard.", "session_id": 3404, "sequence_id": 56, "annotations": []}
{"role": "student", "content": "Oh yeah, OK, that would be good.", "session_id": 3404, "sequence_id": 57, "annotations": []}
{"role": "student", "content": "OK, I feel like I'm doing something wrong because I multiplied it by a ne so since we want to eliminate the pee. I multiply it by negative to for the bottom equation to get negative 12 of P so it would cancel each other out and then I for the other ones I got um 12. I got 8 Y equals -74 and then for the top equation, I got 18 equals 9099. And when um", "session_id": 3404, "sequence_id": 58, "annotations": []}
{"role": "student", "content": "I, I subtracted the negative 88Y from 18Y I received a 10 y which equals to 25 after subtracting the 74 from 99 and the 10 and 25 wouldn't go together, so I feel like I'm doing something wrong because for these kinds of problems, I'm pretty sure you're not meant to get a decimal.", "session_id": 3404, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "Oh, I think you actually got it right here because um", "session_id": 3404, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "it was supposed to be 10 equals 25.", "session_id": 3404, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "So I think you got that right", "session_id": 3404, "sequence_id": 62, "annotations": []}
{"role": "student", "content": "So what about the decimal?", "session_id": 3404, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "Yeah, so you have 10 equals 25.", "session_id": 3404, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "and you just want to like have the DB alone. So what you would do is just like divide both sides by 10 to get rid of that 10 on the left side.", "session_id": 3404, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "But instead of a decimal, you can just write it as a fraction. Typically, that's what they want you to do in those tests.", "session_id": 3404, "sequence_id": 66, "annotations": []}
{"role": "student", "content": "Mm", "session_id": 3404, "sequence_id": 67, "annotations": []}
{"role": "student", "content": "Yeah, OK. Since we're talking about money so it can be 2.5, you're right.", "session_id": 3404, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "Yeah, I mean, I mean, it is 2.5 just most of the time they want you to just like simplify the fraction, not write as, as a decimal. So.", "session_id": 3404, "sequence_id": 69, "annotations": []}
{"role": "student", "content": "Mm.", "session_id": 3404, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "what, what, how would you simplify a 25 or 10? What, what would you get?", "session_id": 3404, "sequence_id": 71, "annotations": []}
{"role": "student", "content": "Let me just.", "session_id": 3404, "sequence_id": 72, "annotations": []}
{"role": "student", "content": "you would get 2 and then 1 over 2.", "session_id": 3404, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "Mm, not exactly 1 or 2 because, uh, what are you gonna divide both sides by.", "session_id": 3404, "sequence_id": 74, "annotations": []}
{"role": "student", "content": "5", "session_id": 3404, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "Yeah, by 5. So 25 divided above 5, what would that be?", "session_id": 3404, "sequence_id": 76, "annotations": []}
{"role": "student", "content": "5", "session_id": 3404, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "Yeah, so, uh, it will be 5/2, no, 1/2.", "session_id": 3404, "sequence_id": 78, "annotations": []}
{"role": "student", "content": "Uh-huh, OK", "session_id": 3404, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "OK.", "session_id": 3404, "sequence_id": 80, "annotations": []}
{"role": "volunteer", "content": "1/2. Let me just write it down.", "session_id": 3404, "sequence_id": 81, "annotations": []}
{"role": "volunteer", "content": "So that would be your D", "session_id": 3404, "sequence_id": 82, "annotations": []}
{"role": "volunteer", "content": "um", "session_id": 3404, "sequence_id": 83, "annotations": []}
{"role": "volunteer", "content": "and now, how do you think we get the P.", "session_id": 3404, "sequence_id": 84, "annotations": []}
{"role": "student", "content": "Um, do we, um, put the D", "session_id": 3404, "sequence_id": 85, "annotations": []}
{"role": "student", "content": "for the place of the pea. Oh wait, no, wait, wait, sorry, let me just do my calculations.", "session_id": 3404, "sequence_id": 86, "annotations": []}
{"role": "volunteer", "content": "Yeah, I mean, you're right, actually, you just uh plug in the D into any of these equations and then uh you can solve for P.", "session_id": 3404, "sequence_id": 87, "annotations": []}
{"role": "student", "content": "OK, let me just see", "session_id": 3404, "sequence_id": 88, "annotations": []}
{"role": "volunteer", "content": "Sure", "session_id": 3404, "sequence_id": 89, "annotations": []}
{"role": "student", "content": "Sorry, could you guide me through this one cause I'm confused.", "session_id": 3404, "sequence_id": 90, "annotations": []}
{"role": "volunteer", "content": "Yeah, no worries. So, uh, like I said, so you, you, you determined that D is equal to 1/2, right?", "session_id": 3404, "sequence_id": 91, "annotations": []}
{"role": "student", "content": "Right.", "session_id": 3404, "sequence_id": 92, "annotations": []}
{"role": "volunteer", "content": "Yeah, so", "session_id": 3404, "sequence_id": 93, "annotations": []}
{"role": "volunteer", "content": "now you, now that you know what D is equal to, you can just plug it into uh whichever equation, oh, sorry, uh whichever equation, and then, uh, the only unknown variable that you have is P. So you can just solve for P and you'll get the answer.", "session_id": 3404, "sequence_id": 94, "annotations": []}
{"role": "volunteer", "content": "Does that make sense, kind of", "session_id": 3404, "sequence_id": 95, "annotations": []}
{"role": "volunteer", "content": "If not, then uh I can explain again. No worries.", "session_id": 3404, "sequence_id": 96, "annotations": []}
{"role": "student", "content": "Yeah, I'm not getting it. Sorry. Could you", "session_id": 3404, "sequence_id": 97, "annotations": []}
{"role": "volunteer", "content": "You want me to, to explain again", "session_id": 3404, "sequence_id": 98, "annotations": []}
{"role": "student", "content": "Yeah, sorry. I thought my mic was on and I was sucking. Yeah, I'm confused. I'm not getting it.", "session_id": 3404, "sequence_id": 99, "annotations": []}
{"role": "volunteer", "content": "OK. So", "session_id": 3404, "sequence_id": 100, "annotations": []}
{"role": "volunteer", "content": "you know, uh, the value of D right now, you know, it's 1/2. And then you have your two equations that are uh 4P plus 6D equals 33, and then you have the 6P plus uh 4D equals 37. So, you can just plug it, now that you know the D, you can just plug it in into any of these equations.", "session_id": 3404, "sequence_id": 101, "annotations": []}
{"role": "volunteer", "content": "And then uh you just have to solve for P, and that's how you'd find out the value for P.", "session_id": 3404, "sequence_id": 102, "annotations": []}
{"role": "volunteer", "content": "Then you have two of your uh variables.", "session_id": 3404, "sequence_id": 103, "annotations": []}
{"role": "student", "content": "Oh", "session_id": 3404, "sequence_id": 104, "annotations": []}
{"role": "volunteer", "content": "which will help you get to the answer.", "session_id": 3404, "sequence_id": 105, "annotations": []}
{"role": "student", "content": "OK, I'm gonna try doing that and see what I get and then", "session_id": 3404, "sequence_id": 106, "annotations": []}
{"role": "student", "content": "you can like see if I'm right or wrong.", "session_id": 3404, "sequence_id": 107, "annotations": []}
{"role": "volunteer", "content": "Yeah, sure. That sounds good.", "session_id": 3404, "sequence_id": 108, "annotations": []}
{"role": "volunteer", "content": "But you don't necessarily uh have to use like the version that you made after multiplying. You can just use like the original one. That way you don't like work with bigger numbers if that makes sense.", "session_id": 3404, "sequence_id": 109, "annotations": []}
{"role": "student", "content": "Yeah, OK", "session_id": 3404, "sequence_id": 110, "annotations": []}
{"role": "volunteer", "content": "OK, let me know once you're done.", "session_id": 3404, "sequence_id": 111, "annotations": []}
{"role": "student", "content": "I got 7.5.", "session_id": 3404, "sequence_id": 112, "annotations": []}
{"role": "volunteer", "content": "OK, so I don't think it's gonna be um 7.5, but can you walk me through, uh, well, uh, actually 7.5 for what? Is that what you got for P?", "session_id": 3404, "sequence_id": 113, "annotations": []}
{"role": "student", "content": "Yeah, I got", "session_id": 3404, "sequence_id": 114, "annotations": []}
{"role": "student", "content": "I got 4 P equal I got 4. Yeah, for P, I got 7.5 because what I", "session_id": 3404, "sequence_id": 115, "annotations": []}
{"role": "student", "content": "so I um did what you said. I put the 1/2 in.", "session_id": 3404, "sequence_id": 116, "annotations": []}
{"role": "student", "content": "Gosh, I put it um instead of the D and then I did the thing on my calculator, so I got 4 X and then 6 times 1/2, I got a 3 and then so 4 x + 3 equals 33 and subtracted the three on both sides which give me 4 x equals 30 and then when I divide it by 4 on both sides it it gave me 7.5.", "session_id": 3404, "sequence_id": 117, "annotations": []}
{"role": "volunteer", "content": "Mm, OK", "session_id": 3404, "sequence_id": 118, "annotations": []}
{"role": "volunteer", "content": "Um", "session_id": 3404, "sequence_id": 119, "annotations": []}
{"role": "volunteer", "content": "but you said you did 6 times, 1 or 2, OK.", "session_id": 3404, "sequence_id": 120, "annotations": []}
{"role": "volunteer", "content": "Uh, wait one sec, let me double check.", "session_id": 3404, "sequence_id": 121, "annotations": []}
{"role": "volunteer", "content": "something here", "session_id": 3404, "sequence_id": 122, "annotations": []}
{"role": "volunteer", "content": "Oh, I, I'm sorry. I, I wrote it as one or two, but it's uh 5 or 2. We determined that we, my bad, um, so you're gonna have to do it again, unfortunately.", "session_id": 3404, "sequence_id": 123, "annotations": []}
{"role": "volunteer", "content": "That was my fault. Sorry about that.", "session_id": 3404, "sequence_id": 124, "annotations": []}
{"role": "student", "content": "OK, I'll just redo it.", "session_id": 3404, "sequence_id": 125, "annotations": []}
{"role": "volunteer", "content": "Yeah.", "session_id": 3404, "sequence_id": 126, "annotations": []}
{"role": "student", "content": "OK, so this time for the final answer I got um a 4.5.", "session_id": 3404, "sequence_id": 127, "annotations": []}
{"role": "volunteer", "content": "Yeah, that, that would be correct.", "session_id": 3404, "sequence_id": 128, "annotations": []}
{"role": "volunteer", "content": "Or you can also uh write it down as 9/2 if you just want like a fraction.", "session_id": 3404, "sequence_id": 129, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 3404, "sequence_id": 130, "annotations": []}
{"role": "volunteer", "content": "So now that you know, uh, the values for D, and you know the value for P, uh, what do you think the next step here is?", "session_id": 3404, "sequence_id": 131, "annotations": []}
{"role": "student", "content": "I don't know. I.", "session_id": 3404, "sequence_id": 132, "annotations": []}
{"role": "volunteer", "content": "No worries. So, you know that pes like the price of uh one slice of pizza. So, and it has, it's asking you the price of 3 slices of pizza. So what do you think you can do here?", "session_id": 3404, "sequence_id": 133, "annotations": []}
{"role": "student", "content": "to", "session_id": 3404, "sequence_id": 134, "annotations": []}
{"role": "student", "content": "Um, doing we multiply by 3?", "session_id": 3404, "sequence_id": 135, "annotations": []}
{"role": "volunteer", "content": "Yeah, you just multiply by 3 and then multiply the D by 5.", "session_id": 3404, "sequence_id": 136, "annotations": []}
{"role": "volunteer", "content": "And then you get like the total cost.", "session_id": 3404, "sequence_id": 137, "annotations": []}
{"role": "student", "content": "Uh, OK, I'm gonna do that real quick.", "session_id": 3404, "sequence_id": 138, "annotations": []}
{"role": "volunteer", "content": "Of course", "session_id": 3404, "sequence_id": 139, "annotations": []}
{"role": "student", "content": "OK, so for a while, I mean for", "session_id": 3404, "sequence_id": 140, "annotations": []}
{"role": "student", "content": "for, um, D, I got 3 equals 7.5, and then for pizzas, I got equals 13.5.", "session_id": 3404, "sequence_id": 141, "annotations": []}
{"role": "volunteer", "content": "Mhm. OK. So", "session_id": 3404, "sequence_id": 142, "annotations": []}
{"role": "volunteer", "content": "uh, for D, you said you got uh 3", "session_id": 3404, "sequence_id": 143, "annotations": []}
{"role": "volunteer", "content": "7.5 forbid you. So for the pizzas, it would be 13.5, so, uh, good job on that, but I think you need to double check, um, what you got out for the drinks. Can, can you tell me what, uh, we did for the drinks.", "session_id": 3404, "sequence_id": 144, "annotations": []}
{"role": "student", "content": "Um for the drinks, I got 7.5.", "session_id": 3404, "sequence_id": 145, "annotations": []}
{"role": "volunteer", "content": "Mhm. So that's, so it doesn't seem to be exactly right. What did you multiply, uh, to get, to get 7.5.", "session_id": 3404, "sequence_id": 146, "annotations": []}
{"role": "student", "content": "I multiplied 2.5 x 3.", "session_id": 3404, "sequence_id": 147, "annotations": []}
{"role": "volunteer", "content": "So it wouldn't be x 3 because for the drinks, uh, it's, it wants you to do 5 drinks here.", "session_id": 3404, "sequence_id": 148, "annotations": []}
{"role": "volunteer", "content": "not 3", "session_id": 3404, "sequence_id": 149, "annotations": []}
{"role": "volunteer", "content": "So you got the pizzas, uh, correct.", "session_id": 3404, "sequence_id": 150, "annotations": []}
{"role": "volunteer", "content": "on tricks.", "session_id": 3404, "sequence_id": 151, "annotations": []}
{"role": "student", "content": "000, OK, OK, OK, OK, OK.", "session_id": 3404, "sequence_id": 152, "annotations": []}
{"role": "volunteer", "content": "Yup.", "session_id": 3404, "sequence_id": 153, "annotations": []}
{"role": "student", "content": "So", "session_id": 3404, "sequence_id": 154, "annotations": []}
{"role": "student", "content": "OK, I got it.", "session_id": 3404, "sequence_id": 155, "annotations": []}
{"role": "volunteer", "content": "Yeah, that, that's uh correct value.", "session_id": 3404, "sequence_id": 156, "annotations": []}
{"role": "volunteer", "content": "Um, so now, uh, I'm, I guess you need to just add them to get the final cost.", "session_id": 3404, "sequence_id": 157, "annotations": []}
{"role": "volunteer", "content": "What would that mean", "session_id": 3404, "sequence_id": 158, "annotations": []}
{"role": "student", "content": "26.", "session_id": 3404, "sequence_id": 159, "annotations": []}
{"role": "volunteer", "content": "Yup, that's right", "session_id": 3404, "sequence_id": 160, "annotations": []}
{"role": "student", "content": "It's.", "session_id": 3404, "sequence_id": 161, "annotations": []}
{"role": "volunteer", "content": "So yeah, the uh final answer would be 26, so good job on that.", "session_id": 3404, "sequence_id": 162, "annotations": []}
{"role": "student", "content": "OK. OK, I got that. Um, we can go to question 7.", "session_id": 3404, "sequence_id": 163, "annotations": []}
{"role": "volunteer", "content": "Yeah, sure. Um, do you think you know what the first step here is?", "session_id": 3404, "sequence_id": 164, "annotations": []}
{"role": "student", "content": "The first step would be um", "session_id": 3404, "sequence_id": 165, "annotations": []}
{"role": "student", "content": "let me just read it first", "session_id": 3404, "sequence_id": 166, "annotations": []}
{"role": "student", "content": "Oh, elimination method, I think, yeah, 00, are we him? Yeah.", "session_id": 3404, "sequence_id": 167, "annotations": []}
{"role": "volunteer", "content": "Mm, so kind of, so usually you wants to have the equation in a form of like Y equals mx + B.", "session_id": 3404, "sequence_id": 168, "annotations": []}
{"role": "volunteer", "content": "uh, and, and you can notice here that", "session_id": 3404, "sequence_id": 169, "annotations": []}
{"role": "volunteer", "content": "um", "session_id": 3404, "sequence_id": 170, "annotations": []}
{"role": "volunteer", "content": "you have two next to the Y, and you can actually divide all these terms by 2.", "session_id": 3404, "sequence_id": 171, "annotations": []}
{"role": "volunteer", "content": "and uh then you can get an equation.", "session_id": 3404, "sequence_id": 172, "annotations": []}
{"role": "volunteer", "content": "And also you'd have to move the ax to the other side of the equal sign, and that's kind of how you can uh solve it or like simplify it. Maybe that's the correct uh term.", "session_id": 3404, "sequence_id": 173, "annotations": []}
{"role": "student", "content": "Sorry, why are we dividing it by 2?", "session_id": 3404, "sequence_id": 174, "annotations": []}
{"role": "volunteer", "content": "Yeah, we can, we can divide it by 2. It's just like a shortcut because you see that the 2 is next to the Y.", "session_id": 3404, "sequence_id": 175, "annotations": []}
{"role": "student", "content": "Mhm", "session_id": 3404, "sequence_id": 176, "annotations": []}
{"role": "volunteer", "content": "Um, so", "session_id": 3404, "sequence_id": 177, "annotations": []}
{"role": "volunteer", "content": "uh, basically, it's gonna be the same exact equation if you divide by the two, but that way if you do that, um, then you just have that you you can just have the equation in the form of like Y equals MX + B.", "session_id": 3404, "sequence_id": 178, "annotations": []}
{"role": "student", "content": "So if on the test, I get like another problem, I can just divide it by 2.", "session_id": 3404, "sequence_id": 179, "annotations": []}
{"role": "volunteer", "content": "Yeah, as, I mean, uh, not always by 2. It's because here the coefficient of the wise too because it's too wide here and all the terms divide by 2. So yeah, you can do that if uh", "session_id": 3404, "sequence_id": 180, "annotations": []}
{"role": "volunteer", "content": "if that works for a particular scenario.", "session_id": 3404, "sequence_id": 181, "annotations": []}
{"role": "student", "content": "OK. OK, so how would we solve it in another way if we're not dividing it by 2.", "session_id": 3404, "sequence_id": 182, "annotations": []}
{"role": "volunteer", "content": "Uh, if you're not dividing my two, you can just um", "session_id": 3404, "sequence_id": 183, "annotations": []}
{"role": "volunteer", "content": "move the 4 X to the other side, so then you have like two Y equals -4 x + 10.", "session_id": 3404, "sequence_id": 184, "annotations": []}
{"role": "volunteer", "content": "And then I mean, then you would still have to divide by 2 because you want to isolate the Y, so, uh, either way, you're gonna have to divide by 2 because that's the coefficient.", "session_id": 3404, "sequence_id": 185, "annotations": []}
{"role": "volunteer", "content": "of uh Y", "session_id": 3404, "sequence_id": 186, "annotations": []}
{"role": "volunteer", "content": "and you want to isolate the why", "session_id": 3404, "sequence_id": 187, "annotations": []}
{"role": "volunteer", "content": "So you want to leave it alone, basically.", "session_id": 3404, "sequence_id": 188, "annotations": []}
{"role": "student", "content": "OK, so I did that and I got, so I got Y equals -2 x + 5, and then under it I got 2y equals 4x plus. So do we um add the wise or do we like leave it alone?", "session_id": 3404, "sequence_id": 189, "annotations": []}
{"role": "volunteer", "content": "OK, you got, you said you go for the second one, to Y equals equals what?", "session_id": 3404, "sequence_id": 190, "annotations": []}
{"role": "student", "content": "-4 x + 10.", "session_id": 3404, "sequence_id": 191, "annotations": []}
{"role": "volunteer", "content": "Yeah, that's correct. So now, uh, now that you have that form, you want to go from 2Y to just uh Y So that means you're still going to have to divide both sides by two.", "session_id": 3404, "sequence_id": 192, "annotations": []}
{"role": "student", "content": "OK", "session_id": 3404, "sequence_id": 193, "annotations": []}
{"role": "volunteer", "content": "because you want the equation to be in the form of just like y equals to something.", "session_id": 3404, "sequence_id": 194, "annotations": []}
{"role": "student", "content": "OK, OK.", "session_id": 3404, "sequence_id": 195, "annotations": []}
{"role": "volunteer", "content": "and have like go fishing next to it.", "session_id": 3404, "sequence_id": 196, "annotations": []}
{"role": "student", "content": "So", "session_id": 3404, "sequence_id": 197, "annotations": []}
{"role": "student", "content": "So I got um Y equals -2 x + 5.", "session_id": 3404, "sequence_id": 198, "annotations": []}
{"role": "volunteer", "content": "Yeah, that's the correct answer. So as you can see, like either way you'd have to divide by 2 just whichever one you want to do first. Uh, but if you can notice something odd here is that it's, you got the same exact equation as the first one.", "session_id": 3404, "sequence_id": 199, "annotations": []}
{"role": "student", "content": "Um", "session_id": 3404, "sequence_id": 200, "annotations": []}
{"role": "volunteer", "content": "you know, uh, what that means.", "session_id": 3404, "sequence_id": 201, "annotations": []}
{"role": "student", "content": "that means I might", "session_id": 3404, "sequence_id": 202, "annotations": []}
{"role": "volunteer", "content": "Well, yeah, uh, yeah, but also, um, since, since you got the second equation the same as the first one.", "session_id": 3404, "sequence_id": 203, "annotations": []}
{"role": "volunteer", "content": "Uh, it means that this uh system is gonna have infinitely many solutions because, uh, two equations that are the same.", "session_id": 3404, "sequence_id": 204, "annotations": []}
{"role": "volunteer", "content": "because they have the same slope, same wide intercepts, so just gonna be like the same line.", "session_id": 3404, "sequence_id": 205, "annotations": []}
{"role": "student", "content": "OK, OK, OK.", "session_id": 3404, "sequence_id": 206, "annotations": []}
{"role": "volunteer", "content": "Yeah.", "session_id": 3404, "sequence_id": 207, "annotations": []}
{"role": "volunteer", "content": "You wanna go to uh", "session_id": 3404, "sequence_id": 208, "annotations": []}
{"role": "volunteer", "content": "#8 now", "session_id": 3404, "sequence_id": 209, "annotations": []}
{"role": "student", "content": "Yeah, yeah, yeah", "session_id": 3404, "sequence_id": 210, "annotations": []}
{"role": "volunteer", "content": "OK.", "session_id": 3404, "sequence_id": 211, "annotations": []}
{"role": "volunteer", "content": "Let me read it first now", "session_id": 3404, "sequence_id": 212, "annotations": []}
{"role": "student", "content": "So I read the question, so point Q represents that she has to pay for it if she goes there for 35 days, right?", "session_id": 3404, "sequence_id": 213, "annotations": []}
{"role": "volunteer", "content": "Uh, yes, that's uh correct.", "session_id": 3404, "sequence_id": 214, "annotations": []}
{"role": "student", "content": "OK, so was that all for this question, right?", "session_id": 3404, "sequence_id": 215, "annotations": []}
{"role": "volunteer", "content": "Uh hm. Wait, let me double check actually, one second.", "session_id": 3404, "sequence_id": 216, "annotations": []}
{"role": "student", "content": "OK", "session_id": 3404, "sequence_id": 217, "annotations": []}
{"role": "student", "content": "Oh.", "session_id": 3404, "sequence_id": 218, "annotations": []}
{"role": "volunteer", "content": "Yeah, so, uh, the way it's worded here is, um, kind of odd, but uh yeah, it does look like the, like you said", "session_id": 3404, "sequence_id": 219, "annotations": []}
{"role": "volunteer", "content": "um, that she has to pay $175 if she goes to the gym 35 times.", "session_id": 3404, "sequence_id": 220, "annotations": []}
{"role": "volunteer", "content": "uh, under the", "session_id": 3404, "sequence_id": 221, "annotations": []}
{"role": "volunteer", "content": "$5 per month plan of under 5 for the $5 per visit plan. I mean,", "session_id": 3404, "sequence_id": 222, "annotations": []}
{"role": "volunteer", "content": "with no annual fee", "session_id": 3404, "sequence_id": 223, "annotations": []}
{"role": "volunteer", "content": "So", "session_id": 3404, "sequence_id": 224, "annotations": []}
{"role": "student", "content": "OK", "session_id": 3404, "sequence_id": 225, "annotations": []}
{"role": "student", "content": "So that's it for that problem then?", "session_id": 3404, "sequence_id": 226, "annotations": []}
{"role": "volunteer", "content": "Yeah, it's gonna all that they", "session_id": 3404, "sequence_id": 227, "annotations": []}
{"role": "volunteer", "content": "did such a long problem description for a relatively simple question, but that seems to be it, I think.", "session_id": 3404, "sequence_id": 228, "annotations": []}
{"role": "student", "content": "OK, so we can move on to number 9.", "session_id": 3404, "sequence_id": 229, "annotations": []}
{"role": "volunteer", "content": "Yeah.", "session_id": 3404, "sequence_id": 230, "annotations": []}
{"role": "student", "content": "OK, so I read the question and we can start working on it.", "session_id": 3404, "sequence_id": 231, "annotations": []}
{"role": "volunteer", "content": "OK. So, um, what do you think the first step can be here?", "session_id": 3404, "sequence_id": 232, "annotations": []}
{"role": "student", "content": "Um, the first step is to identify the problems.", "session_id": 3404, "sequence_id": 233, "annotations": []}
{"role": "volunteer", "content": "Mhm", "session_id": 3404, "sequence_id": 234, "annotations": []}
{"role": "volunteer", "content": "Yeah, well, um", "session_id": 3404, "sequence_id": 235, "annotations": []}
{"role": "volunteer", "content": "I guess you identify", "session_id": 3404, "sequence_id": 236, "annotations": []}
{"role": "volunteer", "content": "uh and write down the equations for Maya and Ethan the linear equations", "session_id": 3404, "sequence_id": 237, "annotations": [{"pii_type": "PERSON", "surrogate": "Maya", "start": 36, "end": 40}, {"pii_type": "PERSON", "surrogate": "Ethan", "start": 45, "end": 50}]}
{"role": "volunteer", "content": "Could you go ahead and do that", "session_id": 3404, "sequence_id": 238, "annotations": []}
{"role": "student", "content": "sorry would you excuse me for a few minutes there is some disturbance", "session_id": 3404, "sequence_id": 239, "annotations": []}
{"role": "volunteer", "content": "yeah, no worries", "session_id": 3404, "sequence_id": 240, "annotations": []}
{"role": "volunteer", "content": "let me know when you are back", "session_id": 3404, "sequence_id": 241, "annotations": []}
{"role": "student", "content": "OK, sorry about that. Um,", "session_id": 3404, "sequence_id": 242, "annotations": []}
{"role": "student", "content": "we can continue.", "session_id": 3404, "sequence_id": 243, "annotations": []}
{"role": "volunteer", "content": "All right, yeah. So, um, could you please write the equations for my and for Ethan.", "session_id": 3404, "sequence_id": 244, "annotations": [{"pii_type": "PERSON", "surrogate": "Ethan", "start": 77, "end": 82}]}
{"role": "volunteer", "content": "OK, so let's close, but it, it would not be", "session_id": 3404, "sequence_id": 245, "annotations": []}
{"role": "volunteer", "content": "um", "session_id": 3404, "sequence_id": 246, "annotations": []}
{"role": "volunteer", "content": "it would not be", "session_id": 3404, "sequence_id": 247, "annotations": []}
{"role": "volunteer", "content": "12 X", "session_id": 3404, "sequence_id": 248, "annotations": []}
{"role": "volunteer", "content": "and it wouldn't be 4 X.", "session_id": 3404, "sequence_id": 249, "annotations": []}
{"role": "volunteer", "content": "because those are fixed costs.", "session_id": 3404, "sequence_id": 250, "annotations": []}
{"role": "student", "content": "So", "session_id": 3404, "sequence_id": 251, "annotations": []}
{"role": "student", "content": "so they would just be 12 and 4?", "session_id": 3404, "sequence_id": 252, "annotations": []}
{"role": "volunteer", "content": "Yeah.", "session_id": 3404, "sequence_id": 253, "annotations": []}
{"role": "volunteer", "content": "And uh that's because you, you're just calculating the monthly cost. So, uh, it's always gonna be for one month. So there's nothing that you're gonna have to plug in here if uh that makes sense. If it was yearly, then, uh, yeah, but you just have to plug in for this one, just the number of devices, not the number of ones.", "session_id": 3404, "sequence_id": 254, "annotations": []}
{"role": "volunteer", "content": "So that's why, uh, there's no variable there.", "session_id": 3404, "sequence_id": 255, "annotations": []}
{"role": "student", "content": "OK", "session_id": 3404, "sequence_id": 256, "annotations": []}
{"role": "student", "content": "So how would we solve this?", "session_id": 3404, "sequence_id": 257, "annotations": []}
{"role": "volunteer", "content": "Yeah, so, uh, as you can see here, it's saying that Maya streamed on 4 devices.", "session_id": 3404, "sequence_id": 258, "annotations": [{"pii_type": "PERSON", "surrogate": "Maya", "start": 52, "end": 56}]}
{"role": "volunteer", "content": "So, uh, now that we know she used 4 devices. Do you think there is something that we can do with this number.", "session_id": 3404, "sequence_id": 259, "annotations": []}
{"role": "student", "content": "Can we multiply it? Like, can we put", "session_id": 3404, "sequence_id": 260, "annotations": []}
{"role": "student", "content": "can we put the 4 like plug it in in the Y part.", "session_id": 3404, "sequence_id": 261, "annotations": []}
{"role": "volunteer", "content": "Yeah, but actually, I, I'd suggest this replacing the Y with the X here. That way it's like simpler. And then this would be like Y equals 2.", "session_id": 3404, "sequence_id": 262, "annotations": []}
{"role": "volunteer", "content": "Uh", "session_id": 3404, "sequence_id": 263, "annotations": []}
{"role": "volunteer", "content": "but I mean, in this particular scenario, it doesn't really matter, but yeah, you would plug in the 4 into here.", "session_id": 3404, "sequence_id": 264, "annotations": []}
{"role": "volunteer", "content": "and then you would uh get the", "session_id": 3404, "sequence_id": 265, "annotations": []}
{"role": "volunteer", "content": "number", "session_id": 3404, "sequence_id": 266, "annotations": []}
{"role": "volunteer", "content": "for Maya", "session_id": 3404, "sequence_id": 267, "annotations": [{"pii_type": "PERSON", "surrogate": "Maya", "start": 4, "end": 8}]}
{"role": "student", "content": "OK, I'm gonna do that.", "session_id": 3404, "sequence_id": 268, "annotations": []}
{"role": "volunteer", "content": "Oh, what I mean is just you can do like, uh, just the next year. So it'd be like here 4 + 7X for example.", "session_id": 3404, "sequence_id": 269, "annotations": []}
{"role": "volunteer", "content": "And here will be 12+, uh.", "session_id": 3404, "sequence_id": 270, "annotations": []}
{"role": "volunteer", "content": "5X", "session_id": 3404, "sequence_id": 271, "annotations": []}
{"role": "volunteer", "content": "So it'll be like this", "session_id": 3404, "sequence_id": 272, "annotations": []}
{"role": "volunteer", "content": "and then you can label it here like this is for my uh oh well.", "session_id": 3404, "sequence_id": 273, "annotations": []}
{"role": "volunteer", "content": "I don't know how to mark it, but like that, I guess.", "session_id": 3404, "sequence_id": 274, "annotations": []}
{"role": "volunteer", "content": "Ethan", "session_id": 3404, "sequence_id": 275, "annotations": [{"pii_type": "PERSON", "surrogate": "Ethan", "start": 0, "end": 5}]}
{"role": "volunteer", "content": "or something", "session_id": 3404, "sequence_id": 276, "annotations": []}
{"role": "student", "content": "Sorry, I'm just so confused cause I don't know what we're doing at this point.", "session_id": 3404, "sequence_id": 277, "annotations": []}
{"role": "volunteer", "content": "Yeah, no, no worries, no worries at all. So,", "session_id": 3404, "sequence_id": 278, "annotations": []}
{"role": "volunteer", "content": "uh, for this, you don't really need the Y equals urge, it's kind of just like there as a reminder.", "session_id": 3404, "sequence_id": 279, "annotations": []}
{"role": "volunteer", "content": "But, um, pretty much, you just plug in the 4.", "session_id": 3404, "sequence_id": 280, "annotations": []}
{"role": "volunteer", "content": "uh into for your ex, basically, and that would give you uh the cost for Maya that she pays uh monthly per 4 devices.", "session_id": 3404, "sequence_id": 281, "annotations": [{"pii_type": "PERSON", "surrogate": "Maya", "start": 72, "end": 76}]}
{"role": "volunteer", "content": "Does that make sense", "session_id": 3404, "sequence_id": 282, "annotations": []}
{"role": "volunteer", "content": "So you just have 12 + 5 times 4.", "session_id": 3404, "sequence_id": 283, "annotations": []}
{"role": "volunteer", "content": "Then you get like a number here.", "session_id": 3404, "sequence_id": 284, "annotations": []}
{"role": "student", "content": "OK, yeah, that makes sense.", "session_id": 3404, "sequence_id": 285, "annotations": []}
{"role": "volunteer", "content": "Awesome. So you got that right. That would be 32.", "session_id": 3404, "sequence_id": 286, "annotations": []}
{"role": "volunteer", "content": "Um", "session_id": 3404, "sequence_id": 287, "annotations": []}
{"role": "volunteer", "content": "and now", "session_id": 3404, "sequence_id": 288, "annotations": []}
{"role": "volunteer", "content": "you can, uh, set this equation for Ethan, uh, 2:32 as well.", "session_id": 3404, "sequence_id": 289, "annotations": [{"pii_type": "PERSON", "surrogate": "Ethan", "start": 35, "end": 40}]}
{"role": "student", "content": "okay i got 30?", "session_id": 3404, "sequence_id": 290, "annotations": []}
{"role": "volunteer", "content": "So it, it would not be 30.", "session_id": 3404, "sequence_id": 291, "annotations": []}
{"role": "volunteer", "content": "um, because here you would just set", "session_id": 3404, "sequence_id": 292, "annotations": []}
{"role": "volunteer", "content": "the basically 32.", "session_id": 3404, "sequence_id": 293, "annotations": []}
{"role": "volunteer", "content": "equal to this equation.", "session_id": 3404, "sequence_id": 294, "annotations": []}
{"role": "volunteer", "content": "So here you're just right, 32.", "session_id": 3404, "sequence_id": 295, "annotations": []}
{"role": "volunteer", "content": "Uh, and that's because it is asking you, it's saying last month Maya streamed on 4 devices. So now you got the amount that she paid, which is $32.", "session_id": 3404, "sequence_id": 296, "annotations": [{"pii_type": "PERSON", "surrogate": "Maya", "start": 64, "end": 68}]}
{"role": "volunteer", "content": "And then it's asking you what is the number of streaming devices that Ethan could stream, uh, for their monthly cost to be the same.", "session_id": 3404, "sequence_id": 297, "annotations": [{"pii_type": "PERSON", "surrogate": "Ethan", "start": 70, "end": 75}]}
{"role": "volunteer", "content": "So what that would mean is, uh, you take the 32, and then you set it equal to Chloe's equation, and that would allow you to get the X, which would be the number of streaming devices that he could use, uh, for that same amount of money, if that makes sense.", "session_id": 3404, "sequence_id": 298, "annotations": [{"pii_type": "PERSON", "surrogate": "Chloe", "start": 78, "end": 83}]}
{"role": "volunteer", "content": "And then here you would sold for X just like uh the regular equations.", "session_id": 3404, "sequence_id": 299, "annotations": []}
{"role": "volunteer", "content": "Yeah, that's right", "session_id": 3404, "sequence_id": 300, "annotations": []}
{"role": "volunteer", "content": "Yup. That's exactly what we're gonna do.", "session_id": 3404, "sequence_id": 301, "annotations": []}
{"role": "volunteer", "content": "Awesome. So, uh, yeah, the ax would be equals 4. that's the correct answer. So, um, that would be the number of streaming devices that Ethan could, um, stream", "session_id": 3404, "sequence_id": 302, "annotations": [{"pii_type": "PERSON", "surrogate": "Ethan", "start": 135, "end": 140}]}
{"role": "volunteer", "content": "for their costs to be the same", "session_id": 3404, "sequence_id": 303, "annotations": []}
{"role": "student", "content": "OK", "session_id": 3404, "sequence_id": 304, "annotations": []}
{"role": "student", "content": "OK, I'm gonna upload my next image.", "session_id": 3404, "sequence_id": 305, "annotations": []}
{"role": "volunteer", "content": "Sure", "session_id": 3404, "sequence_id": 306, "annotations": []}
{"role": "volunteer", "content": "I hope that um clear up some things up for you.", "session_id": 3404, "sequence_id": 307, "annotations": []}
{"role": "volunteer", "content": "practice.", "session_id": 3404, "sequence_id": 308, "annotations": []}
{"role": "student", "content": "Oh yeah, I'm, I'm getting it.", "session_id": 3404, "sequence_id": 309, "annotations": []}
{"role": "volunteer", "content": "That's good", "session_id": 3404, "sequence_id": 310, "annotations": []}
{"role": "student", "content": "OK, can you see the image", "session_id": 3404, "sequence_id": 311, "annotations": []}
{"role": "volunteer", "content": "Yeah, you know", "session_id": 3404, "sequence_id": 312, "annotations": []}
{"role": "volunteer", "content": "Thanks for rotating it.", "session_id": 3404, "sequence_id": 313, "annotations": []}
{"role": "student", "content": "Mhm", "session_id": 3404, "sequence_id": 314, "annotations": []}
{"role": "student", "content": "OK", "session_id": 3404, "sequence_id": 315, "annotations": []}
{"role": "volunteer", "content": "So for the first one, it, it doesn't have any, any shadings, right?", "session_id": 3404, "sequence_id": 316, "annotations": []}
{"role": "student", "content": "All right, here it's kind of dark, like right over here.", "session_id": 3404, "sequence_id": 317, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 3404, "sequence_id": 318, "annotations": []}
{"role": "volunteer", "content": "Yeah, I kinda saw it, but it's not super clear in the picture.", "session_id": 3404, "sequence_id": 319, "annotations": []}
{"role": "volunteer", "content": "Yeah, that would be helpful", "session_id": 3404, "sequence_id": 320, "annotations": []}
{"role": "volunteer", "content": "Yeah.", "session_id": 3404, "sequence_id": 321, "annotations": []}
{"role": "volunteer", "content": "So I'll just shade it a little bit for myself because I don't get confused.", "session_id": 3404, "sequence_id": 322, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 3404, "sequence_id": 323, "annotations": []}
{"role": "volunteer", "content": "OK, so we know that that area is shaded.", "session_id": 3404, "sequence_id": 324, "annotations": []}
{"role": "volunteer", "content": "Um.", "session_id": 3404, "sequence_id": 325, "annotations": []}
{"role": "volunteer", "content": "so what do, what do you think the first step would be here for this one.", "session_id": 3404, "sequence_id": 326, "annotations": []}
{"role": "volunteer", "content": "10", "session_id": 3404, "sequence_id": 327, "annotations": []}
{"role": "student", "content": "OK, I'm gonna read this question.", "session_id": 3404, "sequence_id": 328, "annotations": []}
{"role": "volunteer", "content": "Sure.", "session_id": 3404, "sequence_id": 329, "annotations": []}
{"role": "student", "content": "So we will find like two points on this.", "session_id": 3404, "sequence_id": 330, "annotations": []}
{"role": "volunteer", "content": "Uh, so not exactly two points, but you're on the right track. We'd have to find that to.", "session_id": 3404, "sequence_id": 331, "annotations": []}
{"role": "volunteer", "content": "ways.", "session_id": 3404, "sequence_id": 332, "annotations": []}
{"role": "volunteer", "content": "and the equations for them", "session_id": 3404, "sequence_id": 333, "annotations": []}
{"role": "student", "content": "00, OK.", "session_id": 3404, "sequence_id": 334, "annotations": []}
{"role": "volunteer", "content": "and that will help us, um,", "session_id": 3404, "sequence_id": 335, "annotations": []}
{"role": "student", "content": "Smoking up", "session_id": 3404, "sequence_id": 336, "annotations": []}
{"role": "volunteer", "content": "figure out the system. Yup, the intercept is the right, uh.", "session_id": 3404, "sequence_id": 337, "annotations": []}
{"role": "volunteer", "content": "way to start it", "session_id": 3404, "sequence_id": 338, "annotations": []}
{"role": "volunteer", "content": "You can start uh identifying them.", "session_id": 3404, "sequence_id": 339, "annotations": []}
{"role": "student", "content": "OK", "session_id": 3404, "sequence_id": 340, "annotations": []}
{"role": "volunteer", "content": "and maybe write it, write it down if that's what you want.", "session_id": 3404, "sequence_id": 341, "annotations": []}
{"role": "student", "content": "Hi.", "session_id": 3404, "sequence_id": 342, "annotations": []}
{"role": "volunteer", "content": "Yeah.", "session_id": 3404, "sequence_id": 343, "annotations": []}
{"role": "student", "content": "So the Y intercept is 4, and then the slope intercept is", "session_id": 3404, "sequence_id": 344, "annotations": []}
{"role": "student", "content": "3/1", "session_id": 3404, "sequence_id": 345, "annotations": []}
{"role": "volunteer", "content": "yeah, you did the rise overrun.", "session_id": 3404, "sequence_id": 346, "annotations": []}
{"role": "student", "content": "Mhm", "session_id": 3404, "sequence_id": 347, "annotations": []}
{"role": "volunteer", "content": "OK, good job. Yeah. So, um", "session_id": 3404, "sequence_id": 348, "annotations": []}
{"role": "volunteer", "content": "but you wouldn't call it slope intercept. It would just be slope.", "session_id": 3404, "sequence_id": 349, "annotations": []}
{"role": "student", "content": "slow", "session_id": 3404, "sequence_id": 350, "annotations": []}
{"role": "volunteer", "content": "Uh, slope intercept is what you call the form of like Y equals x + b.", "session_id": 3404, "sequence_id": 351, "annotations": []}
{"role": "student", "content": "Oh, OK", "session_id": 3404, "sequence_id": 352, "annotations": []}
{"role": "volunteer", "content": "Uh, but yeah, OK, you got that right. Now, so now you can use that to write the equation, then you'd already have the equation for the first line.", "session_id": 3404, "sequence_id": 353, "annotations": []}
{"role": "volunteer", "content": "But you also need to figure out what the sign is.", "session_id": 3404, "sequence_id": 354, "annotations": []}
{"role": "volunteer", "content": "for your inequality.", "session_id": 3404, "sequence_id": 355, "annotations": []}
{"role": "student", "content": "Is it um", "session_id": 3404, "sequence_id": 356, "annotations": []}
{"role": "student", "content": "um, more or more than, right?", "session_id": 3404, "sequence_id": 357, "annotations": []}
{"role": "volunteer", "content": "Yeah, it's gonna be more because uh this is above your line. And then this is below your line. So you know it's more than because uh the shaded areas above this line.", "session_id": 3404, "sequence_id": 358, "annotations": []}
{"role": "volunteer", "content": "So yeah, that's correct", "session_id": 3404, "sequence_id": 359, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 3404, "sequence_id": 360, "annotations": []}
{"role": "student", "content": "So like this kind of.", "session_id": 3404, "sequence_id": 361, "annotations": []}
{"role": "volunteer", "content": "Yeah.", "session_id": 3404, "sequence_id": 362, "annotations": []}
{"role": "student", "content": "OK", "session_id": 3404, "sequence_id": 363, "annotations": []}
{"role": "volunteer", "content": "But um", "session_id": 3404, "sequence_id": 364, "annotations": []}
{"role": "volunteer", "content": "uh, keep in mind you still need the X here.", "session_id": 3404, "sequence_id": 365, "annotations": []}
{"role": "student", "content": "Oh", "session_id": 3404, "sequence_id": 366, "annotations": []}
{"role": "volunteer", "content": "because you want it and uh MX + B form. Yeah.", "session_id": 3404, "sequence_id": 367, "annotations": []}
{"role": "volunteer", "content": "And then, uh, 3/1, uh, you can just simplify it to 3.", "session_id": 3404, "sequence_id": 368, "annotations": []}
{"role": "volunteer", "content": "So it's divided by 1, it's just uh gonna give you the same number.", "session_id": 3404, "sequence_id": 369, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 3404, "sequence_id": 370, "annotations": []}
{"role": "student", "content": "Hey.", "session_id": 3404, "sequence_id": 371, "annotations": []}
{"role": "volunteer", "content": "If you want, I can move it for you.", "session_id": 3404, "sequence_id": 372, "annotations": []}
{"role": "volunteer", "content": "3", "session_id": 3404, "sequence_id": 373, "annotations": []}
{"role": "volunteer", "content": "OK.", "session_id": 3404, "sequence_id": 374, "annotations": []}
{"role": "volunteer", "content": "Should be fine", "session_id": 3404, "sequence_id": 375, "annotations": []}
{"role": "volunteer", "content": "OK. Uh, so that would be your", "session_id": 3404, "sequence_id": 376, "annotations": []}
{"role": "volunteer", "content": "your first equation.", "session_id": 3404, "sequence_id": 377, "annotations": []}
{"role": "volunteer", "content": "a first inequality, sorry", "session_id": 3404, "sequence_id": 378, "annotations": []}
{"role": "volunteer", "content": "And then", "session_id": 3404, "sequence_id": 379, "annotations": []}
{"role": "volunteer", "content": "I do the second one.", "session_id": 3404, "sequence_id": 380, "annotations": []}
{"role": "volunteer", "content": "The same principle", "session_id": 3404, "sequence_id": 381, "annotations": []}
{"role": "student", "content": "OK, so for the second equation I got Y is less than or equal to 1/2 x + 8.", "session_id": 3404, "sequence_id": 382, "annotations": []}
{"role": "volunteer", "content": "Mm, OK, yeah, I think that's good. But are you sure uh that it's 8?", "session_id": 3404, "sequence_id": 383, "annotations": []}
{"role": "volunteer", "content": "here?", "session_id": 3404, "sequence_id": 384, "annotations": []}
{"role": "volunteer", "content": "Let's look at the wine Intercept.", "session_id": 3404, "sequence_id": 385, "annotations": []}
{"role": "student", "content": "Is it not 8?", "session_id": 3404, "sequence_id": 386, "annotations": []}
{"role": "volunteer", "content": "You know, because I think, I think it's 7 because 8 is right here, 6 is right here, and this is in between.", "session_id": 3404, "sequence_id": 387, "annotations": []}
{"role": "student", "content": "Oh yeah, OK, yeah.", "session_id": 3404, "sequence_id": 388, "annotations": []}
{"role": "volunteer", "content": "So I think it would be a 7", "session_id": 3404, "sequence_id": 389, "annotations": []}
{"role": "volunteer", "content": "I think because you had that line and it, it might have confused you a little bit.", "session_id": 3404, "sequence_id": 390, "annotations": []}
{"role": "student", "content": "OK, so just", "session_id": 3404, "sequence_id": 391, "annotations": []}
{"role": "volunteer", "content": "It it confused me a bit as well, so it's OK.", "session_id": 3404, "sequence_id": 392, "annotations": []}
{"role": "student", "content": "OK, yeah, it's good if there's 7.", "session_id": 3404, "sequence_id": 393, "annotations": []}
{"role": "student", "content": "OK", "session_id": 3404, "sequence_id": 394, "annotations": []}
{"role": "volunteer", "content": "Awesome. So those would be your, uh, two inequalities. And then", "session_id": 3404, "sequence_id": 395, "annotations": []}
{"role": "student", "content": "So", "session_id": 3404, "sequence_id": 396, "annotations": []}
{"role": "volunteer", "content": "the last step that you can do is like format them.", "session_id": 3404, "sequence_id": 397, "annotations": []}
{"role": "volunteer", "content": "uh, like this.", "session_id": 3404, "sequence_id": 398, "annotations": []}
{"role": "volunteer", "content": "and just move this one", "session_id": 3404, "sequence_id": 399, "annotations": []}
{"role": "volunteer", "content": "away", "session_id": 3404, "sequence_id": 400, "annotations": []}
{"role": "volunteer", "content": "How can I do it?", "session_id": 3404, "sequence_id": 401, "annotations": []}
{"role": "student", "content": "So do we need to solve this or like we we were just supposed to like find equations, right?", "session_id": 3404, "sequence_id": 402, "annotations": []}
{"role": "student", "content": "quickly.", "session_id": 3404, "sequence_id": 403, "annotations": []}
{"role": "volunteer", "content": "Yeah, we just find the system, um, but the last thing you can do is um to make sure that it's correct. It's just to plug in a number, uh, like anything inside the shaded region and test whether your equation is like true or not.", "session_id": 3404, "sequence_id": 404, "annotations": []}
{"role": "volunteer", "content": "So you can plug in something easy like 00, and then see if it's uh false or if it's true.", "session_id": 3404, "sequence_id": 405, "annotations": []}
{"role": "student", "content": "OK, since, OK. OK, we can move on to the next problem.", "session_id": 3404, "sequence_id": 406, "annotations": []}
{"role": "volunteer", "content": "Sure", "session_id": 3404, "sequence_id": 407, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 3404, "sequence_id": 408, "annotations": []}
{"role": "volunteer", "content": "Um", "session_id": 3404, "sequence_id": 409, "annotations": []}
{"role": "volunteer", "content": "we're following", "session_id": 3404, "sequence_id": 410, "annotations": []}
{"role": "student", "content": "OK, so,", "session_id": 3404, "sequence_id": 411, "annotations": []}
{"role": "student", "content": "OK, let me just try it in my mind because it", "session_id": 3404, "sequence_id": 412, "annotations": []}
{"role": "student", "content": "sick.", "session_id": 3404, "sequence_id": 413, "annotations": []}
{"role": "student", "content": "OK, so I received um", "session_id": 3404, "sequence_id": 414, "annotations": []}
{"role": "student", "content": "6, I mean,", "session_id": 3404, "sequence_id": 415, "annotations": []}
{"role": "student", "content": "yeah, so I received why is more than or equal to 2 to", "session_id": 3404, "sequence_id": 416, "annotations": []}
{"role": "student", "content": "to 2 plus um.", "session_id": 3404, "sequence_id": 417, "annotations": []}
{"role": "student", "content": "one", "session_id": 3404, "sequence_id": 418, "annotations": []}
{"role": "student", "content": "over 2 eggs.", "session_id": 3404, "sequence_id": 419, "annotations": []}
{"role": "volunteer", "content": "Uh, why is more than or equal to", "session_id": 3404, "sequence_id": 420, "annotations": []}
{"role": "volunteer", "content": "2 + 1/2 X.", "session_id": 3404, "sequence_id": 421, "annotations": []}
{"role": "volunteer", "content": "That's what you got", "session_id": 3404, "sequence_id": 422, "annotations": []}
{"role": "student", "content": "Oh, no, not more than or equality. I just got is.", "session_id": 3404, "sequence_id": 423, "annotations": []}
{"role": "student", "content": "and why is", "session_id": 3404, "sequence_id": 424, "annotations": []}
{"role": "student", "content": "yeah, why is more than than 2", "session_id": 3404, "sequence_id": 425, "annotations": []}
{"role": "student", "content": "and then plus 1/2 X.", "session_id": 3404, "sequence_id": 426, "annotations": []}
{"role": "volunteer", "content": "Mhm, OK. So, um, you're correct about the", "session_id": 3404, "sequence_id": 427, "annotations": []}
{"role": "volunteer", "content": "uh 2", "session_id": 3404, "sequence_id": 428, "annotations": []}
{"role": "volunteer", "content": "but double check, so the B is correct, but double check the sign and then double check your", "session_id": 3404, "sequence_id": 429, "annotations": []}
{"role": "volunteer", "content": "uh slope", "session_id": 3404, "sequence_id": 430, "annotations": []}
{"role": "student", "content": "Is the sign? How is like, how like, wait, what about for the design over here, it doesn't have like an", "session_id": 3404, "sequence_id": 431, "annotations": []}
{"role": "student", "content": "a underlying under.", "session_id": 3404, "sequence_id": 432, "annotations": []}
{"role": "volunteer", "content": "Yeah, the underline just means that um", "session_id": 3404, "sequence_id": 433, "annotations": []}
{"role": "volunteer", "content": "I, uh, it just means that, uh, whether something is equal to or not, so it's either like the solid line or the dashed line, so, um, the underline just basically means it's gonna be equal to or not. But what I meant by checking the sign is, it's not gonna be uh why is more than, uh, and that's because, uh, why, uh, because of the less than is facing the Y basically.", "session_id": 3404, "sequence_id": 434, "annotations": []}
{"role": "volunteer", "content": "So it's gonna be why is less than, not wise is more than.", "session_id": 3404, "sequence_id": 435, "annotations": []}
{"role": "volunteer", "content": "Does that make sense", "session_id": 3404, "sequence_id": 436, "annotations": []}
{"role": "student", "content": "So could you explain to me how you did the problem?", "session_id": 3404, "sequence_id": 437, "annotations": []}
{"role": "volunteer", "content": "Yeah, sure. So", "session_id": 3404, "sequence_id": 438, "annotations": []}
{"role": "volunteer", "content": "um, you would", "session_id": 3404, "sequence_id": 439, "annotations": []}
{"role": "volunteer", "content": "divide both sides by 6.", "session_id": 3404, "sequence_id": 440, "annotations": []}
{"role": "volunteer", "content": "and so", "session_id": 3404, "sequence_id": 441, "annotations": []}
{"role": "volunteer", "content": "you would get", "session_id": 3404, "sequence_id": 442, "annotations": []}
{"role": "volunteer", "content": "here you would get 2 +", "session_id": 3404, "sequence_id": 443, "annotations": []}
{"role": "volunteer", "content": "9.", "session_id": 3404, "sequence_id": 444, "annotations": []}
{"role": "volunteer", "content": "over 6.", "session_id": 3404, "sequence_id": 445, "annotations": []}
{"role": "volunteer", "content": "X", "session_id": 3404, "sequence_id": 446, "annotations": []}
{"role": "volunteer", "content": "", "session_id": 3404, "sequence_id": 447, "annotations": []}
{"role": "volunteer", "content": "Is that what you got or you got something else?", "session_id": 3404, "sequence_id": 448, "annotations": []}
{"role": "volunteer", "content": "Like in your intermediate stuff.", "session_id": 3404, "sequence_id": 449, "annotations": []}
{"role": "student", "content": "Yeah, cause they did a whole another different way.", "session_id": 3404, "sequence_id": 450, "annotations": []}
{"role": "student", "content": "That's why I mixed them up. So let me just copy this.", "session_id": 3404, "sequence_id": 451, "annotations": []}
{"role": "volunteer", "content": "No worries", "session_id": 3404, "sequence_id": 452, "annotations": []}
{"role": "volunteer", "content": "Yeah, so typically when solving this, your main goal is usually just like isolating the Y. So if you have something like X uh sorry, like 6 Y.", "session_id": 3404, "sequence_id": 453, "annotations": []}
{"role": "volunteer", "content": "You want it to just be Y and you, you, you do anything in your power to like get rid of anything else that's like next to the Y and that's how you sold those types of problems, usually.", "session_id": 3404, "sequence_id": 454, "annotations": []}
{"role": "student", "content": "OK", "session_id": 3404, "sequence_id": 455, "annotations": []}
{"role": "volunteer", "content": "Yeah.", "session_id": 3404, "sequence_id": 456, "annotations": []}
{"role": "volunteer", "content": "So if you keep this in mind for like the future.", "session_id": 3404, "sequence_id": 457, "annotations": []}
{"role": "volunteer", "content": "uh it'll be like super helpful for you.", "session_id": 3404, "sequence_id": 458, "annotations": []}
{"role": "volunteer", "content": "just like a tip", "session_id": 3404, "sequence_id": 459, "annotations": []}
{"role": "student", "content": "OK, I'll keep that one in mind.", "session_id": 3404, "sequence_id": 460, "annotations": []}
{"role": "student", "content": "OK, we can move on to problem number 12.", "session_id": 3404, "sequence_id": 461, "annotations": []}
{"role": "volunteer", "content": "Way, but for this one, you're not uh fully done yet.", "session_id": 3404, "sequence_id": 462, "annotations": []}
{"role": "student", "content": "00, my back", "session_id": 3404, "sequence_id": 463, "annotations": []}
{"role": "volunteer", "content": "Because uh you still need to graph it and also you can um simplify the 9/6.", "session_id": 3404, "sequence_id": 464, "annotations": []}
{"role": "student", "content": "So 90 6.", "session_id": 3404, "sequence_id": 465, "annotations": []}
{"role": "volunteer", "content": "And also you can rewrite it where like Y is on the left side.", "session_id": 3404, "sequence_id": 466, "annotations": []}
{"role": "student", "content": "OK", "session_id": 3404, "sequence_id": 467, "annotations": []}
{"role": "volunteer", "content": "So it's uh easier.", "session_id": 3404, "sequence_id": 468, "annotations": []}
{"role": "volunteer", "content": "So that's in, and that's why it's in the traditional like sult interce form.", "session_id": 3404, "sequence_id": 469, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 3404, "sequence_id": 470, "annotations": []}
{"role": "volunteer", "content": "So what I think, uh, no over sexual simplified too.", "session_id": 3404, "sequence_id": 471, "annotations": []}
{"role": "student", "content": "Can it simplify one?", "session_id": 3404, "sequence_id": 472, "annotations": []}
{"role": "volunteer", "content": "Uh, what do you mean simplified to one?", "session_id": 3404, "sequence_id": 473, "annotations": []}
{"role": "student", "content": "Cause", "session_id": 3404, "sequence_id": 474, "annotations": []}
{"role": "student", "content": "9 can be divided by 39 divided by 3 would be", "session_id": 3404, "sequence_id": 475, "annotations": []}
{"role": "student", "content": "3", "session_id": 3404, "sequence_id": 476, "annotations": []}
{"role": "volunteer", "content": "Yup.", "session_id": 3404, "sequence_id": 477, "annotations": []}
{"role": "student", "content": "and then", "session_id": 3404, "sequence_id": 478, "annotations": []}
{"role": "student", "content": "6", "session_id": 3404, "sequence_id": 479, "annotations": []}
{"role": "student", "content": "and then we got 6, and then we can multiply 6 by 2, and then if we multiply, and if we divide, I mean, if we divide 6 by 2, we get 3 and then 3/3 is 1.", "session_id": 3404, "sequence_id": 480, "annotations": []}
{"role": "volunteer", "content": "Yeah, but, uh, you wouldn't divide 6 by 2, you divide 6 by 3.", "session_id": 3404, "sequence_id": 481, "annotations": []}
{"role": "student", "content": "Oh", "session_id": 3404, "sequence_id": 482, "annotations": []}
{"role": "volunteer", "content": "Because, uh, because you divided the 9 by 3, so you divide the 6 by 3 as well.", "session_id": 3404, "sequence_id": 483, "annotations": []}
{"role": "student", "content": "Mm, OK.", "session_id": 3404, "sequence_id": 484, "annotations": []}
{"role": "student", "content": "So 2", "session_id": 3404, "sequence_id": 485, "annotations": []}
{"role": "volunteer", "content": "I think while you're confused is because um 6 divided by 3 is 2, so maybe that's why you got, uh.", "session_id": 3404, "sequence_id": 486, "annotations": []}
{"role": "volunteer", "content": "thrown off there but", "session_id": 3404, "sequence_id": 487, "annotations": []}
{"role": "student", "content": "Oh, OK. So 3/2?", "session_id": 3404, "sequence_id": 488, "annotations": []}
{"role": "student", "content": "like that", "session_id": 3404, "sequence_id": 489, "annotations": []}
{"role": "volunteer", "content": "Yeah, it would be 3/2", "session_id": 3404, "sequence_id": 490, "annotations": []}
{"role": "volunteer", "content": "X", "session_id": 3404, "sequence_id": 491, "annotations": []}
{"role": "student", "content": "Uh", "session_id": 3404, "sequence_id": 492, "annotations": []}
{"role": "student", "content": "I", "session_id": 3404, "sequence_id": 493, "annotations": []}
{"role": "student", "content": "I", "session_id": 3404, "sequence_id": 494, "annotations": []}
{"role": "student", "content": "I", "session_id": 3404, "sequence_id": 495, "annotations": []}
{"role": "student", "content": "I", "session_id": 3404, "sequence_id": 496, "annotations": []}
{"role": "student", "content": "I", "session_id": 3404, "sequence_id": 497, "annotations": []}
{"role": "student", "content": "I", "session_id": 3404, "sequence_id": 498, "annotations": []}
{"role": "student", "content": "I", "session_id": 3404, "sequence_id": 499, "annotations": []}
{"role": "student", "content": "OK, so like that.", "session_id": 3404, "sequence_id": 500, "annotations": []}
{"role": "volunteer", "content": "Yeah, and then which area would you be shading?", "session_id": 3404, "sequence_id": 501, "annotations": []}
{"role": "student", "content": "The area that I will be shading", "session_id": 3404, "sequence_id": 502, "annotations": []}
{"role": "student", "content": "Over here?", "session_id": 3404, "sequence_id": 503, "annotations": []}
{"role": "volunteer", "content": "No, it would, it would not be over there because you need to look at where uh the sign is pointing.", "session_id": 3404, "sequence_id": 504, "annotations": []}
{"role": "student", "content": "Morning", "session_id": 3404, "sequence_id": 505, "annotations": []}
{"role": "volunteer", "content": "It is pointing more than to this portion of the equation, but you need to look at uh the, how it looks like from the Y side.", "session_id": 3404, "sequence_id": 506, "annotations": []}
{"role": "student", "content": "Oh, so last time like you.", "session_id": 3404, "sequence_id": 507, "annotations": []}
{"role": "volunteer", "content": "You see that Y is less than.", "session_id": 3404, "sequence_id": 508, "annotations": []}
{"role": "volunteer", "content": "Yup, yeah, it would be like that", "session_id": 3404, "sequence_id": 509, "annotations": []}
{"role": "volunteer", "content": "So if you wanted to, you could just like rewrite it as uh", "session_id": 3404, "sequence_id": 510, "annotations": []}
{"role": "volunteer", "content": "this so that you wouldn't get confused for like next time.", "session_id": 3404, "sequence_id": 511, "annotations": []}
{"role": "volunteer", "content": "And uh original like uh sloping yourself for.", "session_id": 3404, "sequence_id": 512, "annotations": []}
{"role": "volunteer", "content": "Cause you look at where like the beak is pointing to.", "session_id": 3404, "sequence_id": 513, "annotations": []}
{"role": "volunteer", "content": "the greater or less sign.", "session_id": 3404, "sequence_id": 514, "annotations": []}
{"role": "student", "content": "OK", "session_id": 3404, "sequence_id": 515, "annotations": []}
{"role": "volunteer", "content": "And yeah it would be the dash line. So good job on that.", "session_id": 3404, "sequence_id": 516, "annotations": []}
{"role": "student", "content": "OK, sir, would you give me", "session_id": 3404, "sequence_id": 517, "annotations": []}
{"role": "student", "content": "some water? I'll be right back.", "session_id": 3404, "sequence_id": 518, "annotations": []}
{"role": "volunteer", "content": "Sure.", "session_id": 3404, "sequence_id": 519, "annotations": []}
{"role": "student", "content": "OK, sorry about that. We can continue.", "session_id": 3404, "sequence_id": 520, "annotations": []}
{"role": "volunteer", "content": "Yeah, OK. Sounds good. Um, so here we need to graft the system of equations so", "session_id": 3404, "sequence_id": 521, "annotations": []}
{"role": "volunteer", "content": "uh", "session_id": 3404, "sequence_id": 522, "annotations": []}
{"role": "volunteer", "content": "you can go ahead", "session_id": 3404, "sequence_id": 523, "annotations": []}
{"role": "volunteer", "content": "What do you think the first step here is", "session_id": 3404, "sequence_id": 524, "annotations": []}
{"role": "student", "content": "Just uh for this one, to get the, sorry, to get um", "session_id": 3404, "sequence_id": 525, "annotations": []}
{"role": "student", "content": "so we would", "session_id": 3404, "sequence_id": 526, "annotations": []}
{"role": "student", "content": "subtract eggs to get over here, I think.", "session_id": 3404, "sequence_id": 527, "annotations": []}
{"role": "volunteer", "content": "Mhm. Yeah, that's right", "session_id": 3404, "sequence_id": 528, "annotations": []}
{"role": "volunteer", "content": "Yeah, so that's uh", "session_id": 3404, "sequence_id": 529, "annotations": []}
{"role": "volunteer", "content": "correct. Now I just need to isolate the Y.", "session_id": 3404, "sequence_id": 530, "annotations": []}
{"role": "volunteer", "content": "Yeah, that's right", "session_id": 3404, "sequence_id": 531, "annotations": []}
{"role": "volunteer", "content": "Um, you can also ride the 2.5 as uh 5 or 2.", "session_id": 3404, "sequence_id": 532, "annotations": []}
{"role": "volunteer", "content": "But yeah, whichever uh works.", "session_id": 3404, "sequence_id": 533, "annotations": []}
{"role": "volunteer", "content": "So now it's time to plot", "session_id": 3404, "sequence_id": 534, "annotations": []}
{"role": "volunteer", "content": "We'll actually do the second one as well.", "session_id": 3404, "sequence_id": 535, "annotations": []}
{"role": "volunteer", "content": "Uh, and then you can plot it.", "session_id": 3404, "sequence_id": 536, "annotations": []}
{"role": "volunteer", "content": "You can make it a bit smaller so you got more space.", "session_id": 3404, "sequence_id": 537, "annotations": []}
{"role": "volunteer", "content": "something like that", "session_id": 3404, "sequence_id": 538, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 3404, "sequence_id": 539, "annotations": []}
{"role": "volunteer", "content": "Um", "session_id": 3404, "sequence_id": 540, "annotations": []}
{"role": "volunteer", "content": "why it's more than", "session_id": 3404, "sequence_id": 541, "annotations": []}
{"role": "volunteer", "content": "Mhm. So it would not be, uh, exactly that.", "session_id": 3404, "sequence_id": 542, "annotations": []}
{"role": "volunteer", "content": "Uh, and I think in this case, it's gonna be simpler to just like, uh, subtract the two eggs from this side, and that would be it.", "session_id": 3404, "sequence_id": 543, "annotations": []}
{"role": "volunteer", "content": "Um.", "session_id": 3404, "sequence_id": 544, "annotations": []}
{"role": "volunteer", "content": "so, uh, from both sides.", "session_id": 3404, "sequence_id": 545, "annotations": []}
{"role": "volunteer", "content": "to Y like that.", "session_id": 3404, "sequence_id": 546, "annotations": []}
{"role": "volunteer", "content": "And then you would just have the Y and the left and", "session_id": 3404, "sequence_id": 547, "annotations": []}
{"role": "volunteer", "content": "the rest would be on the right", "session_id": 3404, "sequence_id": 548, "annotations": []}
{"role": "student", "content": "Oh, OK, cool", "session_id": 3404, "sequence_id": 549, "annotations": []}
{"role": "student", "content": "So,", "session_id": 3404, "sequence_id": 550, "annotations": []}
{"role": "student", "content": "God.", "session_id": 3404, "sequence_id": 551, "annotations": []}
{"role": "student", "content": "I", "session_id": 3404, "sequence_id": 552, "annotations": []}
{"role": "student", "content": "I", "session_id": 3404, "sequence_id": 553, "annotations": []}
{"role": "student", "content": "Hm.", "session_id": 3404, "sequence_id": 554, "annotations": []}
{"role": "volunteer", "content": "Yeah, so it will be uh wise more than", "session_id": 3404, "sequence_id": 555, "annotations": []}
{"role": "volunteer", "content": "-2 x + 3.", "session_id": 3404, "sequence_id": 556, "annotations": []}
{"role": "volunteer", "content": "So I could start uh graphing it now.", "session_id": 3404, "sequence_id": 557, "annotations": []}
{"role": "volunteer", "content": "Is that the first line that you graphing right now?", "session_id": 3404, "sequence_id": 558, "annotations": []}
{"role": "student", "content": "Sorry if my lines were not straight, but yeah, that was supposed to be the first line going going through these points.", "session_id": 3404, "sequence_id": 559, "annotations": []}
{"role": "volunteer", "content": "Mhm. But I think you", "session_id": 3404, "sequence_id": 560, "annotations": []}
{"role": "volunteer", "content": "I think you got the wine Intercept, not graphed correctly here, though.", "session_id": 3404, "sequence_id": 561, "annotations": []}
{"role": "student", "content": "Oh", "session_id": 3404, "sequence_id": 562, "annotations": []}
{"role": "volunteer", "content": "Because, uh, double check it's", "session_id": 3404, "sequence_id": 563, "annotations": []}
{"role": "volunteer", "content": "-2.5.", "session_id": 3404, "sequence_id": 564, "annotations": []}
{"role": "volunteer", "content": "But your slope does look correct. It's just that you have to shift the line.", "session_id": 3404, "sequence_id": 565, "annotations": []}
{"role": "student", "content": "OK. How do I", "session_id": 3404, "sequence_id": 566, "annotations": []}
{"role": "student", "content": "like that?", "session_id": 3404, "sequence_id": 567, "annotations": []}
{"role": "volunteer", "content": "Oh, I don't think I see it yet.", "session_id": 3404, "sequence_id": 568, "annotations": []}
{"role": "student", "content": "Um", "session_id": 3404, "sequence_id": 569, "annotations": []}
{"role": "student", "content": "Uh", "session_id": 3404, "sequence_id": 570, "annotations": []}
{"role": "volunteer", "content": "It still looks like, uh, that it is where it was before for me.", "session_id": 3404, "sequence_id": 571, "annotations": []}
{"role": "volunteer", "content": "Like, I'm, I'm talking about this slide that you have here.", "session_id": 3404, "sequence_id": 572, "annotations": []}
{"role": "student", "content": "Oh, I'm, I'm trying to like erase this line, but then if I erase it, it's gonna erase the whole thing.", "session_id": 3404, "sequence_id": 573, "annotations": []}
{"role": "volunteer", "content": "Oh, OK. Yeah, no worries. I mean, there's a tool here. I don't know if you have it or not. Uh, it's like the 3rd 1 from the left is like a square and um mouse.", "session_id": 3404, "sequence_id": 574, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 3404, "sequence_id": 575, "annotations": []}
{"role": "volunteer", "content": "and you can use that to like pick it up and move it. But let me know where you wanna move it to, and I can do it for you.", "session_id": 3404, "sequence_id": 576, "annotations": []}
{"role": "student", "content": "OK, so", "session_id": 3404, "sequence_id": 577, "annotations": []}
{"role": "volunteer", "content": "OK, it looks like you already got rid of it. No worries.", "session_id": 3404, "sequence_id": 578, "annotations": []}
{"role": "student", "content": "Oh no, it's.", "session_id": 3404, "sequence_id": 579, "annotations": []}
{"role": "volunteer", "content": "OK, almost there. So you got the Y intercept, right? Um, but the second dot would have to be a little bit more to the right um", "session_id": 3404, "sequence_id": 580, "annotations": []}
{"role": "volunteer", "content": "you're going one up and then 2 to the right, but you went a one up and one to the right.", "session_id": 3404, "sequence_id": 581, "annotations": []}
{"role": "student", "content": "OK", "session_id": 3404, "sequence_id": 582, "annotations": []}
{"role": "volunteer", "content": "Do you need to, need to move this second dot a bit, uh, to the right, so that it's on X equals 2.", "session_id": 3404, "sequence_id": 583, "annotations": []}
{"role": "student", "content": "5.", "session_id": 3404, "sequence_id": 584, "annotations": []}
{"role": "volunteer", "content": "So be somewhere around here.", "session_id": 3404, "sequence_id": 585, "annotations": []}
{"role": "student", "content": "I know", "session_id": 3404, "sequence_id": 586, "annotations": []}
{"role": "volunteer", "content": "I believe.", "session_id": 3404, "sequence_id": 587, "annotations": []}
{"role": "student", "content": "long.", "session_id": 3404, "sequence_id": 588, "annotations": []}
{"role": "student", "content": "have people", "session_id": 3404, "sequence_id": 589, "annotations": []}
{"role": "student", "content": "is pretty", "session_id": 3404, "sequence_id": 590, "annotations": []}
{"role": "student", "content": "wrong about you", "session_id": 3404, "sequence_id": 591, "annotations": []}
{"role": "student", "content": "and I have", "session_id": 3404, "sequence_id": 592, "annotations": []}
{"role": "student", "content": "living room area. It's a studio apartment.", "session_id": 3404, "sequence_id": 593, "annotations": []}
{"role": "volunteer", "content": "OK, yeah, it does look uh correct.", "session_id": 3404, "sequence_id": 594, "annotations": []}
{"role": "volunteer", "content": "Now you can graft the second equation.", "session_id": 3404, "sequence_id": 595, "annotations": []}
{"role": "student", "content": "So something like this.", "session_id": 3404, "sequence_id": 596, "annotations": []}
{"role": "volunteer", "content": "Uh, one sec, I'm checking. OK. Yeah, that, that is, uh, that looks correct.", "session_id": 3404, "sequence_id": 597, "annotations": []}
{"role": "volunteer", "content": "You have the slope and uh well, the Y intercept in the slope correct, so that's good.", "session_id": 3404, "sequence_id": 598, "annotations": []}
{"role": "volunteer", "content": "Uh, so now all you have to do is just to shade uh the right area, so.", "session_id": 3404, "sequence_id": 599, "annotations": []}
{"role": "volunteer", "content": "But also think whether this line um is gonna be solid or dashed.", "session_id": 3404, "sequence_id": 600, "annotations": []}
{"role": "volunteer", "content": "Yup.", "session_id": 3404, "sequence_id": 601, "annotations": []}
{"role": "volunteer", "content": "this one", "session_id": 3404, "sequence_id": 602, "annotations": []}
{"role": "volunteer", "content": "Well, the other one is not gonna be dashed because uh this one has the equal.", "session_id": 3404, "sequence_id": 603, "annotations": []}
{"role": "volunteer", "content": "uh or equal to sine as the underline.", "session_id": 3404, "sequence_id": 604, "annotations": []}
{"role": "volunteer", "content": "So, uh, it's only the 2nd 1 that's gonna be uh the dashed, yeah.", "session_id": 3404, "sequence_id": 605, "annotations": []}
{"role": "volunteer", "content": "And then the first song is going to be solid.", "session_id": 3404, "sequence_id": 606, "annotations": []}
{"role": "student", "content": "So this part is gonna be like the", "session_id": 3404, "sequence_id": 607, "annotations": []}
{"role": "student", "content": "point like where they both crossover shades.", "session_id": 3404, "sequence_id": 608, "annotations": []}
{"role": "student", "content": "withdraw a little bit", "session_id": 3404, "sequence_id": 609, "annotations": []}
{"role": "student", "content": "later.", "session_id": 3404, "sequence_id": 610, "annotations": []}
{"role": "volunteer", "content": "And so, um, not exactly because I think you might have", "session_id": 3404, "sequence_id": 611, "annotations": []}
{"role": "volunteer", "content": "I think you might have confused them.", "session_id": 3404, "sequence_id": 612, "annotations": []}
{"role": "volunteer", "content": "Wait, actually, 11 sec.", "session_id": 3404, "sequence_id": 613, "annotations": []}
{"role": "volunteer", "content": "Yeah because", "session_id": 3404, "sequence_id": 614, "annotations": []}
{"role": "volunteer", "content": "this is your 2nd equation.", "session_id": 3404, "sequence_id": 615, "annotations": []}
{"role": "volunteer", "content": "and then", "session_id": 3404, "sequence_id": 616, "annotations": []}
{"role": "volunteer", "content": "this is your first.", "session_id": 3404, "sequence_id": 617, "annotations": []}
{"role": "volunteer", "content": "So", "session_id": 3404, "sequence_id": 618, "annotations": []}
{"role": "volunteer", "content": "uh", "session_id": 3404, "sequence_id": 619, "annotations": []}
{"role": "volunteer", "content": "the first equation, what sign does it have?", "session_id": 3404, "sequence_id": 620, "annotations": []}
{"role": "student", "content": "It has a, it has a, um, more than or equal to?", "session_id": 3404, "sequence_id": 621, "annotations": []}
{"role": "volunteer", "content": "Yeah, and since this is the first equation.", "session_id": 3404, "sequence_id": 622, "annotations": []}
{"role": "volunteer", "content": "uh, it means it can only be above. It can only be this one, or it can be this area. So everything above, so.", "session_id": 3404, "sequence_id": 623, "annotations": []}
{"role": "volunteer", "content": "everything here. And now we need to check for the 2nd equation. Uh, what sign does it have?", "session_id": 3404, "sequence_id": 624, "annotations": []}
{"role": "student", "content": "Um, more than.", "session_id": 3404, "sequence_id": 625, "annotations": []}
{"role": "volunteer", "content": "Yeah, it has the more then, so, uh, think which er it's gonna be. It's either this one or this one.", "session_id": 3404, "sequence_id": 626, "annotations": []}
{"role": "volunteer", "content": "More area, uh sorry, more than, doesn't mean it's above the line or below the line?", "session_id": 3404, "sequence_id": 627, "annotations": []}
{"role": "student", "content": "Above the line", "session_id": 3404, "sequence_id": 628, "annotations": []}
{"role": "volunteer", "content": "Yeah, above the line. So now think which area for the second equation is above the line. It's both above the first line and above the second line. Which one would it be?", "session_id": 3404, "sequence_id": 629, "annotations": []}
{"role": "student", "content": "Above the first line.", "session_id": 3404, "sequence_id": 630, "annotations": []}
{"role": "student", "content": "Oh", "session_id": 3404, "sequence_id": 631, "annotations": []}
{"role": "volunteer", "content": "Yeah, but, uh, figure out which, which of these areas is going to be the one that's above both of them.", "session_id": 3404, "sequence_id": 632, "annotations": []}
{"role": "student", "content": "OK, so,", "session_id": 3404, "sequence_id": 633, "annotations": []}
{"role": "student", "content": "OK, it's just a little bit messy. I'm just gonna try to clean it out.", "session_id": 3404, "sequence_id": 634, "annotations": []}
{"role": "volunteer", "content": "Yeah, I can.", "session_id": 3404, "sequence_id": 635, "annotations": []}
{"role": "volunteer", "content": "try to help you, maybe", "session_id": 3404, "sequence_id": 636, "annotations": []}
{"role": "volunteer", "content": "OK.", "session_id": 3404, "sequence_id": 637, "annotations": []}
{"role": "student", "content": "Mhm.", "session_id": 3404, "sequence_id": 638, "annotations": []}
{"role": "volunteer", "content": "right", "session_id": 3404, "sequence_id": 639, "annotations": []}
{"role": "student", "content": "Oh", "session_id": 3404, "sequence_id": 640, "annotations": []}
{"role": "volunteer", "content": "Yeah, that was closed, but remember, yeah, yeah, that's correct.", "session_id": 3404, "sequence_id": 641, "annotations": []}
{"role": "volunteer", "content": "CA it's gonna be above this line, above this line.", "session_id": 3404, "sequence_id": 642, "annotations": []}
{"role": "volunteer", "content": "Because if you had it like this, it would only be above the first line but not above the second line. So yeah, you got that right.", "session_id": 3404, "sequence_id": 643, "annotations": []}
{"role": "volunteer", "content": "You'll be that region", "session_id": 3404, "sequence_id": 644, "annotations": []}
{"role": "volunteer", "content": "So yeah, I think you are done with this page.", "session_id": 3404, "sequence_id": 645, "annotations": []}
{"role": "student", "content": "Yup, OK. I still got a", "session_id": 3404, "sequence_id": 646, "annotations": []}
{"role": "student", "content": "few more sections.", "session_id": 3404, "sequence_id": 647, "annotations": []}
{"role": "student", "content": "I don't know if you would have time because I'm pretty sure my teacher said there's gonna be like let me check how much more problems I have.", "session_id": 3404, "sequence_id": 648, "annotations": []}
{"role": "student", "content": "OK, so I have 16 more problems.", "session_id": 3404, "sequence_id": 649, "annotations": []}
{"role": "volunteer", "content": "Hm.", "session_id": 3404, "sequence_id": 650, "annotations": []}
{"role": "student", "content": "I don't know if you have time or not.", "session_id": 3404, "sequence_id": 651, "annotations": []}
{"role": "volunteer", "content": "Yeah I'm not sure if I'm gonna be able to do all of them. Um, I'm probably gonna, I have like around 30 more minutes.", "session_id": 3404, "sequence_id": 652, "annotations": []}
{"role": "volunteer", "content": "and then you might have to try and connect with somebody else after that.", "session_id": 3404, "sequence_id": 653, "annotations": []}
{"role": "student", "content": "OK, yeah.", "session_id": 3404, "sequence_id": 654, "annotations": []}
{"role": "volunteer", "content": "Yeah, that works right", "session_id": 3404, "sequence_id": 655, "annotations": []}
{"role": "student", "content": "Mm.", "session_id": 3404, "sequence_id": 656, "annotations": []}
{"role": "student", "content": "Great", "session_id": 3404, "sequence_id": 657, "annotations": []}
{"role": "student", "content": "It's like a", "session_id": 3404, "sequence_id": 658, "annotations": []}
{"role": "student", "content": "that", "session_id": 3404, "sequence_id": 659, "annotations": []}
{"role": "student", "content": "before we graduate you to a remov", "session_id": 3404, "sequence_id": 660, "annotations": []}
{"role": "student", "content": "partial denture which is like the one with metal.", "session_id": 3404, "sequence_id": 661, "annotations": []}
{"role": "student", "content": "So OK, so we can start with question one to an IPD.", "session_id": 3404, "sequence_id": 662, "annotations": []}
{"role": "student", "content": "So this is my first", "session_id": 3404, "sequence_id": 663, "annotations": []}
{"role": "volunteer", "content": "All right, yeah", "session_id": 3404, "sequence_id": 664, "annotations": []}
{"role": "student", "content": "week ever", "session_id": 3404, "sequence_id": 665, "annotations": []}
{"role": "student", "content": "not watch it", "session_id": 3404, "sequence_id": 666, "annotations": []}
{"role": "volunteer", "content": "Let's read it", "session_id": 3404, "sequence_id": 667, "annotations": []}
{"role": "volunteer", "content": "Be good contains", "session_id": 3404, "sequence_id": 668, "annotations": []}
{"role": "volunteer", "content": "pain.", "session_id": 3404, "sequence_id": 669, "annotations": []}
{"role": "volunteer", "content": "OK, so this looks like we just need to make, well, you just need to um", "session_id": 3404, "sequence_id": 670, "annotations": []}
{"role": "volunteer", "content": "right uh linear equation for this, so.", "session_id": 3404, "sequence_id": 671, "annotations": []}
{"role": "volunteer", "content": "um", "session_id": 3404, "sequence_id": 672, "annotations": []}
{"role": "volunteer", "content": "if you want, you can go ahead and let me know your thoughts.", "session_id": 3404, "sequence_id": 673, "annotations": []}
{"role": "student", "content": "OK, I'm gonna attempt the problem.", "session_id": 3404, "sequence_id": 674, "annotations": []}
{"role": "student", "content": "Good morning", "session_id": 3404, "sequence_id": 675, "annotations": []}
{"role": "student", "content": "So.", "session_id": 3404, "sequence_id": 676, "annotations": []}
{"role": "student", "content": "in the morning I look for a state station so", "session_id": 3404, "sequence_id": 677, "annotations": []}
{"role": "student", "content": "I'm comfortable I worried about how.", "session_id": 3404, "sequence_id": 678, "annotations": []}
{"role": "student", "content": "I", "session_id": 3404, "sequence_id": 679, "annotations": []}
{"role": "student", "content": "a.", "session_id": 3404, "sequence_id": 680, "annotations": []}
{"role": "student", "content": "I", "session_id": 3404, "sequence_id": 681, "annotations": []}
{"role": "student", "content": "I", "session_id": 3404, "sequence_id": 682, "annotations": []}
{"role": "student", "content": "the", "session_id": 3404, "sequence_id": 683, "annotations": []}
{"role": "student", "content": "finding", "session_id": 3404, "sequence_id": 684, "annotations": []}
{"role": "student", "content": "you", "session_id": 3404, "sequence_id": 685, "annotations": []}
{"role": "student", "content": "line, so", "session_id": 3404, "sequence_id": 686, "annotations": []}
{"role": "student", "content": "the area we see that line", "session_id": 3404, "sequence_id": 687, "annotations": []}
{"role": "student", "content": "is where", "session_id": 3404, "sequence_id": 688, "annotations": []}
{"role": "student", "content": "um how he was going. So how", "session_id": 3404, "sequence_id": 689, "annotations": []}
{"role": "student", "content": "would be.", "session_id": 3404, "sequence_id": 690, "annotations": []}
{"role": "student", "content": "we need to.", "session_id": 3404, "sequence_id": 691, "annotations": []}
{"role": "student", "content": "so we're gonna", "session_id": 3404, "sequence_id": 692, "annotations": []}
{"role": "student", "content": "do", "session_id": 3404, "sequence_id": 693, "annotations": []}
{"role": "student", "content": "uh pre binding and I'll", "session_id": 3404, "sequence_id": 694, "annotations": []}
{"role": "student", "content": "also take", "session_id": 3404, "sequence_id": 695, "annotations": []}
{"role": "student", "content": "I feel like", "session_id": 3404, "sequence_id": 696, "annotations": []}
{"role": "student", "content": "so", "session_id": 3404, "sequence_id": 697, "annotations": []}
{"role": "student", "content": "or.", "session_id": 3404, "sequence_id": 698, "annotations": []}
{"role": "student", "content": "Is that correct?", "session_id": 3404, "sequence_id": 699, "annotations": []}
{"role": "volunteer", "content": "4 months", "session_id": 3404, "sequence_id": 700, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 3404, "sequence_id": 701, "annotations": []}
{"role": "volunteer", "content": "OK.", "session_id": 3404, "sequence_id": 702, "annotations": []}
{"role": "student", "content": "Right.", "session_id": 3404, "sequence_id": 703, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 3404, "sequence_id": 704, "annotations": []}
{"role": "student", "content": "that.", "session_id": 3404, "sequence_id": 705, "annotations": []}
{"role": "volunteer", "content": "So, um, that is super close, but remember that you need the X.", "session_id": 3404, "sequence_id": 706, "annotations": []}
{"role": "student", "content": "so", "session_id": 3404, "sequence_id": 707, "annotations": []}
{"role": "volunteer", "content": "since it's a linear equation, you need to", "session_id": 3404, "sequence_id": 708, "annotations": []}
{"role": "volunteer", "content": "variable.", "session_id": 3404, "sequence_id": 709, "annotations": []}
{"role": "volunteer", "content": "So think where you need to play sax. Yup, that's right.", "session_id": 3404, "sequence_id": 710, "annotations": []}
{"role": "volunteer", "content": "Well, actually, in this case, instead of X, I think they want you to use an H.", "session_id": 3404, "sequence_id": 711, "annotations": []}
{"role": "volunteer", "content": "Um, so", "session_id": 3404, "sequence_id": 712, "annotations": []}
{"role": "student", "content": "no", "session_id": 3404, "sequence_id": 713, "annotations": []}
{"role": "volunteer", "content": "you can write down", "session_id": 3404, "sequence_id": 714, "annotations": []}
{"role": "student", "content": "I", "session_id": 3404, "sequence_id": 715, "annotations": []}
{"role": "student", "content": "watch TV", "session_id": 3404, "sequence_id": 716, "annotations": []}
{"role": "volunteer", "content": "And then here instead of the 4,", "session_id": 3404, "sequence_id": 717, "annotations": []}
{"role": "volunteer", "content": "it's just gonna be H because you're writing the FOH function.", "session_id": 3404, "sequence_id": 718, "annotations": []}
{"role": "student", "content": "I", "session_id": 3404, "sequence_id": 719, "annotations": []}
{"role": "student", "content": "all.", "session_id": 3404, "sequence_id": 720, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 3404, "sequence_id": 721, "annotations": []}
{"role": "student", "content": "hm.", "session_id": 3404, "sequence_id": 722, "annotations": []}
{"role": "student", "content": "and and uh", "session_id": 3404, "sequence_id": 723, "annotations": []}
{"role": "student", "content": "So", "session_id": 3404, "sequence_id": 724, "annotations": []}
{"role": "student", "content": "I", "session_id": 3404, "sequence_id": 725, "annotations": []}
{"role": "student", "content": "know", "session_id": 3404, "sequence_id": 726, "annotations": []}
{"role": "volunteer", "content": "because you're not plugging for, you're just writing the function for H and then the person can uh plug in whatever number they want.", "session_id": 3404, "sequence_id": 727, "annotations": []}
{"role": "student", "content": "OK, so like this.", "session_id": 3404, "sequence_id": 728, "annotations": []}
{"role": "volunteer", "content": "The OF of H equals to 4 minus 0.5H.", "session_id": 3404, "sequence_id": 729, "annotations": []}
{"role": "volunteer", "content": "So you're done with the first part now.", "session_id": 3404, "sequence_id": 730, "annotations": []}
{"role": "student", "content": "Mhm", "session_id": 3404, "sequence_id": 731, "annotations": []}
{"role": "volunteer", "content": "Uh, now, I just find them out after 2 hours.", "session_id": 3404, "sequence_id": 732, "annotations": []}
{"role": "student", "content": "Mm", "session_id": 3404, "sequence_id": 733, "annotations": []}
{"role": "volunteer", "content": "So, uh here it would not be", "session_id": 3404, "sequence_id": 734, "annotations": []}
{"role": "volunteer", "content": "uh this, it would be something else.", "session_id": 3404, "sequence_id": 735, "annotations": []}
{"role": "student", "content": "So, how do we get the", "session_id": 3404, "sequence_id": 736, "annotations": []}
{"role": "student", "content": "do we multiply something by 2 or", "session_id": 3404, "sequence_id": 737, "annotations": []}
{"role": "volunteer", "content": "Uh, not multiply because you already figured out the function FOH equals 4 minus 0.5H. So that means you can plug in whatever number of hours that you want.", "session_id": 3404, "sequence_id": 738, "annotations": []}
{"role": "volunteer", "content": "and you would get the", "session_id": 3404, "sequence_id": 739, "annotations": []}
{"role": "volunteer", "content": "uh amount of paint left over. So this is asking you to uh find the amount of paint after 2 hours, so you would just plug in the 2 and you would calculate f of 2.", "session_id": 3404, "sequence_id": 740, "annotations": []}
{"role": "volunteer", "content": "Yeah, so it would be uh 3 L, that would be your answer. But I think one small suggestion I'll make is um instead of formatting it like this with like parentheses, um, cause it looks a bit uh confusing here. Uh, I, I would just write it down as just F of", "session_id": 3404, "sequence_id": 741, "annotations": []}
{"role": "volunteer", "content": "2", "session_id": 3404, "sequence_id": 742, "annotations": []}
{"role": "student", "content": "Sorry something just came up! I might need to leave early today, but thank you so much for your help today! Have a good night/day!", "session_id": 3404, "sequence_id": 743, "annotations": []}
{"role": "volunteer", "content": "equals", "session_id": 3404, "sequence_id": 744, "annotations": []}
{"role": "volunteer", "content": "let me just write your original equation 4 minus", "session_id": 3404, "sequence_id": 745, "annotations": []}
{"role": "volunteer", "content": "0.5.", "session_id": 3404, "sequence_id": 746, "annotations": []}
{"role": "volunteer", "content": "and then it would be", "session_id": 3404, "sequence_id": 747, "annotations": []}
{"role": "volunteer", "content": "times 2.", "session_id": 3404, "sequence_id": 748, "annotations": []}
{"role": "volunteer", "content": "Oh, it, it doesn't fit, but I think you get my point.", "session_id": 3404, "sequence_id": 749, "annotations": []}
{"role": "volunteer", "content": "Uh, it will be times", "session_id": 3404, "sequence_id": 750, "annotations": []}
{"role": "volunteer", "content": "2 here.", "session_id": 3404, "sequence_id": 751, "annotations": []}
{"role": "volunteer", "content": "I just need to move it", "session_id": 3404, "sequence_id": 752, "annotations": []}
{"role": "volunteer", "content": "Oh", "session_id": 3404, "sequence_id": 753, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 3404, "sequence_id": 754, "annotations": []}
{"role": "volunteer", "content": "Yeah, I think, I think you know what I mean. So just put like uh times 2, but that would be.", "session_id": 3404, "sequence_id": 755, "annotations": []}
{"role": "volunteer", "content": "uh up here because I'm running out of space.", "session_id": 3404, "sequence_id": 756, "annotations": []}
{"role": "volunteer", "content": "So I'll write it in the chat", "session_id": 3404, "sequence_id": 757, "annotations": []}
{"role": "student", "content": "hello", "session_id": 3641, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "Hello! How can I help?", "session_id": 3641, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "will you help me with this", "session_id": 3641, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "Sure!", "session_id": 3641, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "This requires implicit differentiation", "session_id": 3641, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "ohh what i did so far is find dy/dx", "session_id": 3641, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "what did you get ?", "session_id": 3641, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "e^x+y -1/(1-e^x+y)", "session_id": 3641, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "yaa so i have a final soon for calc bc (basically all ab review) for frqs", "session_id": 3641, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "I see", "session_id": 3641, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "idk how to study for it i feel lost", "session_id": 3641, "sequence_id": 10, "annotations": []}
{"role": "student", "content": ":(", "session_id": 3641, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "Its all good", "session_id": 3641, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "You got the right expression", "session_id": 3641, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "What did you get when you plugged in the point 1/2 , 1/2", "session_id": 3641, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "oh so i didnt know what to do after i did that lol", "session_id": 3641, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "all good lol", "session_id": 3641, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "you just plug it in?", "session_id": 3641, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "the point is just the x, y coords", "session_id": 3641, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "yes!", "session_id": 3641, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "yay i got that too!!!", "session_id": 3641, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "its just i didnt really know how to get about this problem", "session_id": 3641, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "my foundation is not very good...", "session_id": 3641, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "I see", "session_id": 3641, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "For every problem", "session_id": 3641, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "If it says dy/dx or f'(x), you wont be far off the solution if you just take a derivative if you go from there", "session_id": 3641, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "dy/dx will need a point because your statement will likely have x and y in it", "session_id": 3641, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "ohhh okay", "session_id": 3641, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "f'(x) or dy/dx in terms of x will only need x", "session_id": 3641, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "As far as I'm aware, Taking Derivatives, Basic Limits, Second Derivatives, Optimization, Abs Min and Absolute Maximum, Local Min and Local Maximum will be the majority of the test for AB especially in your case if you haven't learned integrals", "session_id": 3641, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "yet", "session_id": 3641, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "i seeeee", "session_id": 3641, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "can we work on this one now", "session_id": 3641, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "I can give some tricky problems from my tests years ago if you like!", "session_id": 3641, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "sure", "session_id": 3641, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "sure! but i want to work on porblems from my study guide first", "session_id": 3641, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "Do you want to do it here and me check it or do you want me to continue doing it", "session_id": 3641, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "got it!", "session_id": 3641, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "uhhh can you work on it and explain each step?", "session_id": 3641, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "sure!", "session_id": 3641, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "ohhh that was easy", "session_id": 3641, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "yep!", "session_id": 3641, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "uhhh i want to work on 3 more and then can we do an actual ap frq?", "session_id": 3641, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "sure!", "session_id": 3641, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "hate this problem lol", "session_id": 3641, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "lollll yeah i dont get this one", "session_id": 3641, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "will you explain what you did", "session_id": 3641, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "i dont get what the problem is asking", "session_id": 3641, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "ofc", "session_id": 3641, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "1 sec", "session_id": 3641, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "trying to skip out on algebra here I apologize", "session_id": 3641, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "ahh i made a mistake sorry", "session_id": 3641, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "ohhh its okay", "session_id": 3641, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "I kind of skipped out on the algebra part bc I keep making mistakes somewhere but Ill restart explaining each step", "session_id": 3641, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "Based on the question, we have acceleration and position change", "session_id": 3641, "sequence_id": 54, "annotations": []}
{"role": "student", "content": "yes", "session_id": 3641, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "we know that the integral of v = x so int of v from 2 to 6 should equal x(6) - x(2) based on the fundamental theorem of calculus", "session_id": 3641, "sequence_id": 56, "annotations": []}
{"role": "student", "content": "yes", "session_id": 3641, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "If I find v by integrating a, I am not given an initial velocity for the plus C", "session_id": 3641, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "regardless, I can still integrate it because I am given the evaluated integral to equal 10", "session_id": 3641, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "I can use that to find C", "session_id": 3641, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "In the exam, this is too lengthy for me so I'd rather look at the options", "session_id": 3641, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "Based on the options its either A or B, for the v(t)", "session_id": 3641, "sequence_id": 62, "annotations": []}
{"role": "student", "content": "ohhhh", "session_id": 3641, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "because they only differ by the initial velocity", "session_id": 3641, "sequence_id": 64, "annotations": []}
{"role": "student", "content": "this is a tricky one", "session_id": 3641, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "yeah", "session_id": 3641, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "What i'd do is right here, bc im between 2 options", "session_id": 3641, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "I would integrate A)", "session_id": 3641, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "from 2 to 6", "session_id": 3641, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "if that gives me 10", "session_id": 3641, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "its A", "session_id": 3641, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "if not it has to be B", "session_id": 3641, "sequence_id": 72, "annotations": []}
{"role": "student", "content": "ohhh so its like testing", "session_id": 3641, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "yeah", "session_id": 3641, "sequence_id": 74, "annotations": []}
{"role": "student", "content": "yup", "session_id": 3641, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "you can integrate with the plus C and FIND c", "session_id": 3641, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "to get 7/6", "session_id": 3641, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "but its too long and prone to mistakes", "session_id": 3641, "sequence_id": 78, "annotations": []}
{"role": "student", "content": "wait what do you mean by that", "session_id": 3641, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "because we don't know the initial velocity we cant just plug in C", "session_id": 3641, "sequence_id": 80, "annotations": []}
{"role": "volunteer", "content": "but we can still integrate V(t) with C in it to see what value of C would give 10", "session_id": 3641, "sequence_id": 81, "annotations": []}
{"role": "volunteer", "content": "Ill show the other way as well 1 sec", "session_id": 3641, "sequence_id": 82, "annotations": []}
{"role": "student", "content": "lOl i think the other way of testing is easier", "session_id": 3641, "sequence_id": 83, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 3641, "sequence_id": 84, "annotations": []}
{"role": "student", "content": "but this method is ncie to see", "session_id": 3641, "sequence_id": 85, "annotations": []}
{"role": "volunteer", "content": "There", "session_id": 3641, "sequence_id": 86, "annotations": []}
{"role": "volunteer", "content": "c = 7/6", "session_id": 3641, "sequence_id": 87, "annotations": []}
{"role": "student", "content": "Oh", "session_id": 3641, "sequence_id": 88, "annotations": []}
{"role": "student", "content": "thank you", "session_id": 3641, "sequence_id": 89, "annotations": []}
{"role": "volunteer", "content": "No problem!", "session_id": 3641, "sequence_id": 90, "annotations": []}
{"role": "student", "content": "you do everything so cleanly!!", "session_id": 3641, "sequence_id": 91, "annotations": []}
{"role": "volunteer", "content": "Appreciate it!", "session_id": 3641, "sequence_id": 92, "annotations": []}
{"role": "student", "content": "wait can you just sum up how to approach this problem>", "session_id": 3641, "sequence_id": 93, "annotations": []}
{"role": "student", "content": "?", "session_id": 3641, "sequence_id": 94, "annotations": []}
{"role": "volunteer", "content": "Sure!", "session_id": 3641, "sequence_id": 95, "annotations": []}
{"role": "student", "content": "i thin kwhat i have the trouble most is jus reading what the probelm wants", "session_id": 3641, "sequence_id": 96, "annotations": []}
{"role": "volunteer", "content": "We are given a(t) and x(6) - x(2)", "session_id": 3641, "sequence_id": 97, "annotations": []}
{"role": "student", "content": "btw i have been copying down things", "session_id": 3641, "sequence_id": 98, "annotations": []}
{"role": "volunteer", "content": "Great! its good to refer to", "session_id": 3641, "sequence_id": 99, "annotations": []}
{"role": "volunteer", "content": "based on the question we need to find v(t)", "session_id": 3641, "sequence_id": 100, "annotations": []}
{"role": "volunteer", "content": "its easy to find v(t) if we are given an initial condition, because we can use it to find C", "session_id": 3641, "sequence_id": 101, "annotations": []}
{"role": "student", "content": "mmmhm", "session_id": 3641, "sequence_id": 102, "annotations": []}
{"role": "student", "content": "what does initial condition mean?", "session_id": 3641, "sequence_id": 103, "annotations": []}
{"role": "volunteer", "content": "in this case however, we aren't given a simple v(1) = 0 or a point for v", "session_id": 3641, "sequence_id": 104, "annotations": []}
{"role": "volunteer", "content": "initial condition is any point for v(t)", "session_id": 3641, "sequence_id": 105, "annotations": []}
{"role": "volunteer", "content": "we can use it to solve for C", "session_id": 3641, "sequence_id": 106, "annotations": []}
{"role": "volunteer", "content": "like if v(1)) = 0, C = 0", "session_id": 3641, "sequence_id": 107, "annotations": []}
{"role": "volunteer", "content": "if they said v(1) = 1, then we would do 1 = 1^2 - 4(1) + C", "session_id": 3641, "sequence_id": 108, "annotations": []}
{"role": "student", "content": "ohhhh", "session_id": 3641, "sequence_id": 109, "annotations": []}
{"role": "volunteer", "content": "C = 4", "session_id": 3641, "sequence_id": 110, "annotations": []}
{"role": "student", "content": "i see isee", "session_id": 3641, "sequence_id": 111, "annotations": []}
{"role": "volunteer", "content": "without that we can't say what C can be", "session_id": 3641, "sequence_id": 112, "annotations": []}
{"role": "student", "content": "Got it", "session_id": 3641, "sequence_id": 113, "annotations": []}
{"role": "volunteer", "content": "in this case we are given the integral of v(t) from 2 to 6 through x(6) - x(2)", "session_id": 3641, "sequence_id": 114, "annotations": []}
{"role": "volunteer", "content": "recognizing this is the most important parat", "session_id": 3641, "sequence_id": 115, "annotations": []}
{"role": "volunteer", "content": "part*", "session_id": 3641, "sequence_id": 116, "annotations": []}
{"role": "student", "content": "yaeahhh", "session_id": 3641, "sequence_id": 117, "annotations": []}
{"role": "volunteer", "content": "based on integrating with the plus C alone, you should be eliminating C D and E", "session_id": 3641, "sequence_id": 118, "annotations": []}
{"role": "student", "content": "how did you know?", "session_id": 3641, "sequence_id": 119, "annotations": []}
{"role": "volunteer", "content": "Because the integral we found WITH the C was x^2 - 4t + C", "session_id": 3641, "sequence_id": 120, "annotations": []}
{"role": "volunteer", "content": "C can be anything", "session_id": 3641, "sequence_id": 121, "annotations": []}
{"role": "volunteer", "content": "but the other terms have to be exact", "session_id": 3641, "sequence_id": 122, "annotations": []}
{"role": "volunteer", "content": "for A. C would be 0, for B. C would be 7/6", "session_id": 3641, "sequence_id": 123, "annotations": []}
{"role": "volunteer", "content": "For everything else, you NEED to have a t^2 -4t the same", "session_id": 3641, "sequence_id": 124, "annotations": []}
{"role": "volunteer", "content": "i meant t^2 not x^2 my apologies", "session_id": 3641, "sequence_id": 125, "annotations": []}
{"role": "student", "content": "ohhhhh", "session_id": 3641, "sequence_id": 126, "annotations": []}
{"role": "student", "content": "and so basically b already gives it away", "session_id": 3641, "sequence_id": 127, "annotations": []}
{"role": "student", "content": "b and a", "session_id": 3641, "sequence_id": 128, "annotations": []}
{"role": "volunteer", "content": "yeah", "session_id": 3641, "sequence_id": 129, "annotations": []}
{"role": "volunteer", "content": "you still dont know for sure between them unless you find plus C OR you do the integral assuming C = 0 for A", "session_id": 3641, "sequence_id": 130, "annotations": []}
{"role": "volunteer", "content": "and see if that equals 10", "session_id": 3641, "sequence_id": 131, "annotations": []}
{"role": "volunteer", "content": "if it does then its A, if not its B", "session_id": 3641, "sequence_id": 132, "annotations": []}
{"role": "student", "content": "okay so you do the integral of a", "session_id": 3641, "sequence_id": 133, "annotations": []}
{"role": "student", "content": "and make it equal to 10-", "session_id": 3641, "sequence_id": 134, "annotations": []}
{"role": "student", "content": "can you do the integral of b and it would equal 10? then", "session_id": 3641, "sequence_id": 135, "annotations": []}
{"role": "volunteer", "content": "absolutely!", "session_id": 3641, "sequence_id": 136, "annotations": []}
{"role": "volunteer", "content": "wanna try it out here?", "session_id": 3641, "sequence_id": 137, "annotations": []}
{"role": "student", "content": "i can try doing it", "session_id": 3641, "sequence_id": 138, "annotations": []}
{"role": "volunteer", "content": "Go for it!", "session_id": 3641, "sequence_id": 139, "annotations": []}
{"role": "student", "content": "wait is that right", "session_id": 3641, "sequence_id": 140, "annotations": []}
{"role": "volunteer", "content": "close", "session_id": 3641, "sequence_id": 141, "annotations": []}
{"role": "volunteer", "content": "what is the derivative of t^2/4", "session_id": 3641, "sequence_id": 142, "annotations": []}
{"role": "student", "content": "errrrr", "session_id": 3641, "sequence_id": 143, "annotations": []}
{"role": "volunteer", "content": "its just slight algebra mistakes", "session_id": 3641, "sequence_id": 144, "annotations": []}
{"role": "volunteer", "content": "if it makes it easier, for such integral evaluation things", "session_id": 3641, "sequence_id": 145, "annotations": []}
{"role": "volunteer", "content": "do each term separately", "session_id": 3641, "sequence_id": 146, "annotations": []}
{"role": "student", "content": "hmmm where did i do it wrong", "session_id": 3641, "sequence_id": 147, "annotations": []}
{"role": "volunteer", "content": "like instead of plugging in 6 everywhere and then subtracting the 2 plugged in everywhere", "session_id": 3641, "sequence_id": 148, "annotations": []}
{"role": "student", "content": "lol....", "session_id": 3641, "sequence_id": 149, "annotations": []}
{"role": "volunteer", "content": "did you multiply the minus sign??", "session_id": 3641, "sequence_id": 150, "annotations": []}
{"role": "student", "content": "oops", "session_id": 3641, "sequence_id": 151, "annotations": []}
{"role": "volunteer", "content": "yeah", "session_id": 3641, "sequence_id": 152, "annotations": []}
{"role": "volunteer", "content": "and 7/6 should be +", "session_id": 3641, "sequence_id": 153, "annotations": []}
{"role": "volunteer", "content": "simplify as you go!", "session_id": 3641, "sequence_id": 154, "annotations": []}
{"role": "student", "content": "Aha!", "session_id": 3641, "sequence_id": 155, "annotations": []}
{"role": "student", "content": "thank you!", "session_id": 3641, "sequence_id": 156, "annotations": []}
{"role": "volunteer", "content": ":)", "session_id": 3641, "sequence_id": 157, "annotations": []}
{"role": "student", "content": "can we work on these two", "session_id": 3641, "sequence_id": 158, "annotations": []}
{"role": "student", "content": "?", "session_id": 3641, "sequence_id": 159, "annotations": []}
{"role": "volunteer", "content": "yes!", "session_id": 3641, "sequence_id": 160, "annotations": []}
{"role": "student", "content": "same process as eariler!", "session_id": 3641, "sequence_id": 161, "annotations": []}
{"role": "volunteer", "content": "Do you know how to bound integrals?", "session_id": 3641, "sequence_id": 162, "annotations": []}
{"role": "volunteer", "content": "I personally hate +c if you want me to do it that way I will if not Ill bound it so we don't have to deal with it", "session_id": 3641, "sequence_id": 163, "annotations": []}
{"role": "student", "content": "LOL whatever method is easiest\\", "session_id": 3641, "sequence_id": 164, "annotations": []}
{"role": "volunteer", "content": "Indeed!", "session_id": 3641, "sequence_id": 165, "annotations": []}
{"role": "student", "content": "yaaa i was confused why that is a 1", "session_id": 3641, "sequence_id": 166, "annotations": []}
{"role": "volunteer", "content": "Dumb mistake :(", "session_id": 3641, "sequence_id": 167, "annotations": []}
{"role": "volunteer", "content": "Ill write it out a little bit better sorry", "session_id": 3641, "sequence_id": 168, "annotations": []}
{"role": "volunteer", "content": "There are other ways to do this, but in my opinion bounding just makes it easier", "session_id": 3641, "sequence_id": 169, "annotations": []}
{"role": "volunteer", "content": "if you didn't bound you can do the same thing except put + C, plug in 1 for x and e for y", "session_id": 3641, "sequence_id": 170, "annotations": []}
{"role": "volunteer", "content": "and find C", "session_id": 3641, "sequence_id": 171, "annotations": []}
{"role": "volunteer", "content": "and then plug in 2 for x to solve y(2)", "session_id": 3641, "sequence_id": 172, "annotations": []}
{"role": "volunteer", "content": "or just bound it here to find y(2) directly", "session_id": 3641, "sequence_id": 173, "annotations": []}
{"role": "student", "content": "ahhhh okay", "session_id": 3641, "sequence_id": 174, "annotations": []}
{"role": "student", "content": "i see i see", "session_id": 3641, "sequence_id": 175, "annotations": []}
{"role": "student", "content": "will you explain each step and what the probelm is asking for", "session_id": 3641, "sequence_id": 176, "annotations": []}
{"role": "volunteer", "content": "sure!", "session_id": 3641, "sequence_id": 177, "annotations": []}
{"role": "volunteer", "content": "the problem gave a random function y's derivative in form of dy/dx", "session_id": 3641, "sequence_id": 178, "annotations": []}
{"role": "volunteer", "content": "we need to find y(2) given y(1) =  e", "session_id": 3641, "sequence_id": 179, "annotations": []}
{"role": "volunteer", "content": "y' = dy/dx so asking anything about y means we have to 'integrate'", "session_id": 3641, "sequence_id": 180, "annotations": []}
{"role": "volunteer", "content": "based on the point y(1) = e, x = 1 and y = e", "session_id": 3641, "sequence_id": 181, "annotations": []}
{"role": "volunteer", "content": "we can make that the lower bound for both integrals", "session_id": 3641, "sequence_id": 182, "annotations": []}
{"role": "volunteer", "content": "upper bound will be what we NEED to find in this case y(2)", "session_id": 3641, "sequence_id": 183, "annotations": []}
{"role": "student", "content": "ooooh okay", "session_id": 3641, "sequence_id": 184, "annotations": []}
{"role": "student", "content": "so integrate and then plug in", "session_id": 3641, "sequence_id": 185, "annotations": []}
{"role": "volunteer", "content": "before that you can multiply dx to the other side and put all x terms on one side and y terms on the other", "session_id": 3641, "sequence_id": 186, "annotations": []}
{"role": "volunteer", "content": "yep!", "session_id": 3641, "sequence_id": 187, "annotations": []}
{"role": "volunteer", "content": "at the end just exponentiate to get rid of ln", "session_id": 3641, "sequence_id": 188, "annotations": []}
{"role": "volunteer", "content": "let me know when I should start with 5", "session_id": 3641, "sequence_id": 189, "annotations": []}
{"role": "student", "content": "yes! sorry im reviewing it rn", "session_id": 3641, "sequence_id": 190, "annotations": []}
{"role": "volunteer", "content": "no worries go ahead take your time", "session_id": 3641, "sequence_id": 191, "annotations": []}
{"role": "student", "content": "how did you know to pick the boundfs?", "session_id": 3641, "sequence_id": 192, "annotations": []}
{"role": "volunteer", "content": "If they EVER give you an initial conditions I always make bounds", "session_id": 3641, "sequence_id": 193, "annotations": []}
{"role": "volunteer", "content": "It doesn't matter if they ask you find y(2) or y(x) even", "session_id": 3641, "sequence_id": 194, "annotations": []}
{"role": "volunteer", "content": "+c is generally more annoying", "session_id": 3641, "sequence_id": 195, "annotations": []}
{"role": "volunteer", "content": "for instance if the question asked you to find y or y(x)", "session_id": 3641, "sequence_id": 196, "annotations": []}
{"role": "volunteer", "content": "instead of plugging in the top bound as y(2) just plug in y", "session_id": 3641, "sequence_id": 197, "annotations": []}
{"role": "student", "content": "ahhh okay how did you know its not just 1 anD 2", "session_id": 3641, "sequence_id": 198, "annotations": []}
{"role": "volunteer", "content": "and for x just plug in x", "session_id": 3641, "sequence_id": 199, "annotations": []}
{"role": "student", "content": "but its y(1)", "session_id": 3641, "sequence_id": 200, "annotations": []}
{"role": "student", "content": "im sorry if im asking stupid questions LOL", "session_id": 3641, "sequence_id": 201, "annotations": []}
{"role": "volunteer", "content": "wdym?", "session_id": 3641, "sequence_id": 202, "annotations": []}
{"role": "student", "content": "oh nvm you transitioned it", "session_id": 3641, "sequence_id": 203, "annotations": []}
{"role": "student", "content": "to 2 and 1", "session_id": 3641, "sequence_id": 204, "annotations": []}
{"role": "volunteer", "content": "yep", "session_id": 3641, "sequence_id": 205, "annotations": []}
{"role": "student", "content": "yayya okay we good for 5 now", "session_id": 3641, "sequence_id": 206, "annotations": []}
{"role": "volunteer", "content": "Great!", "session_id": 3641, "sequence_id": 207, "annotations": []}
{"role": "student", "content": "will you explain this one too?", "session_id": 3641, "sequence_id": 208, "annotations": []}
{"role": "volunteer", "content": "sure!", "session_id": 3641, "sequence_id": 209, "annotations": []}
{"role": "volunteer", "content": "we are given velocity as a function of time", "session_id": 3641, "sequence_id": 210, "annotations": []}
{"role": "volunteer", "content": "and are asked to find a position at a time", "session_id": 3641, "sequence_id": 211, "annotations": []}
{"role": "volunteer", "content": "given a singular value of position at a time", "session_id": 3641, "sequence_id": 212, "annotations": []}
{"role": "volunteer", "content": "what you could do is integrate to find x(t), put a plus C, plug in t = 0 to get a value for C. this would give you x(t)", "session_id": 3641, "sequence_id": 213, "annotations": []}
{"role": "volunteer", "content": "and then you can plug in t = -3", "session_id": 3641, "sequence_id": 214, "annotations": []}
{"role": "volunteer", "content": "in this bounded way", "session_id": 3641, "sequence_id": 215, "annotations": []}
{"role": "volunteer", "content": "you can bound v(t) from t = 0 to t = 2", "session_id": 3641, "sequence_id": 216, "annotations": []}
{"role": "volunteer", "content": "the bottom value should be the value you KNOW for x", "session_id": 3641, "sequence_id": 217, "annotations": []}
{"role": "volunteer", "content": "the top value should be the value you WANT to find", "session_id": 3641, "sequence_id": 218, "annotations": []}
{"role": "student", "content": "what do you mean?", "session_id": 3641, "sequence_id": 219, "annotations": []}
{"role": "volunteer", "content": "or the time of the value you need to find", "session_id": 3641, "sequence_id": 220, "annotations": []}
{"role": "volunteer", "content": "t = 0, we know x = -3", "session_id": 3641, "sequence_id": 221, "annotations": []}
{"role": "volunteer", "content": "thats my lower bound for v(t)", "session_id": 3641, "sequence_id": 222, "annotations": []}
{"role": "volunteer", "content": "using FTC we would get x(top bound) - x(0)", "session_id": 3641, "sequence_id": 223, "annotations": []}
{"role": "student", "content": "ahhhh okay", "session_id": 3641, "sequence_id": 224, "annotations": []}
{"role": "volunteer", "content": "x(0) = -3 so x(top bound) - (-3) = x(top bound) + 3", "session_id": 3641, "sequence_id": 225, "annotations": []}
{"role": "volunteer", "content": "the top bound will be the value we need to find", "session_id": 3641, "sequence_id": 226, "annotations": []}
{"role": "volunteer", "content": "here we are asked to find x at t = 2", "session_id": 3641, "sequence_id": 227, "annotations": []}
{"role": "student", "content": "yessss okay", "session_id": 3641, "sequence_id": 228, "annotations": []}
{"role": "student", "content": "so -3 at the bottom", "session_id": 3641, "sequence_id": 229, "annotations": []}
{"role": "student", "content": "?", "session_id": 3641, "sequence_id": 230, "annotations": []}
{"role": "volunteer", "content": "nono", "session_id": 3641, "sequence_id": 231, "annotations": []}
{"role": "volunteer", "content": "-3 is the value of x", "session_id": 3641, "sequence_id": 232, "annotations": []}
{"role": "volunteer", "content": "we need to bound the t", "session_id": 3641, "sequence_id": 233, "annotations": []}
{"role": "student", "content": "Sorry im just a bit confiuesd", "session_id": 3641, "sequence_id": 234, "annotations": []}
{"role": "volunteer", "content": "at t = 0 x = -3", "session_id": 3641, "sequence_id": 235, "annotations": []}
{"role": "volunteer", "content": "allg!", "session_id": 3641, "sequence_id": 236, "annotations": []}
{"role": "student", "content": "why is b 2?", "session_id": 3641, "sequence_id": 237, "annotations": []}
{"role": "volunteer", "content": "because b is the time we want to find", "session_id": 3641, "sequence_id": 238, "annotations": []}
{"role": "volunteer", "content": "a should be the time value you know", "session_id": 3641, "sequence_id": 239, "annotations": []}
{"role": "volunteer", "content": "b should be the time value for whose x position we need to find", "session_id": 3641, "sequence_id": 240, "annotations": []}
{"role": "student", "content": "ohhh", "session_id": 3641, "sequence_id": 241, "annotations": []}
{"role": "student", "content": "and we only know t-0", "session_id": 3641, "sequence_id": 242, "annotations": []}
{"role": "student", "content": "t=0", "session_id": 3641, "sequence_id": 243, "annotations": []}
{"role": "volunteer", "content": "you can do b = 0, and a = 2", "session_id": 3641, "sequence_id": 244, "annotations": []}
{"role": "volunteer", "content": "if you want", "session_id": 3641, "sequence_id": 245, "annotations": []}
{"role": "volunteer", "content": "that would give you x(0) - x(2)", "session_id": 3641, "sequence_id": 246, "annotations": []}
{"role": "volunteer", "content": "same thing but a little weird", "session_id": 3641, "sequence_id": 247, "annotations": []}
{"role": "student", "content": "okay so we are trying to find t=2", "session_id": 3641, "sequence_id": 248, "annotations": []}
{"role": "student", "content": "so that goes atthe to[", "session_id": 3641, "sequence_id": 249, "annotations": []}
{"role": "volunteer", "content": "yep!", "session_id": 3641, "sequence_id": 250, "annotations": []}
{"role": "student", "content": "and t=0 is what we know", "session_id": 3641, "sequence_id": 251, "annotations": []}
{"role": "volunteer", "content": "exactly", "session_id": 3641, "sequence_id": 252, "annotations": []}
{"role": "volunteer", "content": "use FTC", "session_id": 3641, "sequence_id": 253, "annotations": []}
{"role": "volunteer", "content": "if you are confused by bounds let me know", "session_id": 3641, "sequence_id": 254, "annotations": []}
{"role": "volunteer", "content": "Ill do it the other way", "session_id": 3641, "sequence_id": 255, "annotations": []}
{"role": "volunteer", "content": "lil longer but may be easier to follow", "session_id": 3641, "sequence_id": 256, "annotations": []}
{"role": "student", "content": "nono i like this method more but there are so mnay little things", "session_id": 3641, "sequence_id": 257, "annotations": []}
{"role": "student", "content": "that i need to understand", "session_id": 3641, "sequence_id": 258, "annotations": []}
{"role": "volunteer", "content": "yeah", "session_id": 3641, "sequence_id": 259, "annotations": []}
{"role": "student", "content": "wait but what was the sign for you to know you had to integrate", "session_id": 3641, "sequence_id": 260, "annotations": []}
{"role": "volunteer", "content": "good question", "session_id": 3641, "sequence_id": 261, "annotations": []}
{"role": "volunteer", "content": "if you are given x and we need to find v", "session_id": 3641, "sequence_id": 262, "annotations": []}
{"role": "volunteer", "content": "you need to take the derivate", "session_id": 3641, "sequence_id": 263, "annotations": []}
{"role": "volunteer", "content": "derivative", "session_id": 3641, "sequence_id": 264, "annotations": []}
{"role": "volunteer", "content": "if you are given v and you need to find x, you need to do the opposite so integrate", "session_id": 3641, "sequence_id": 265, "annotations": []}
{"role": "volunteer", "content": "x -> v -> a (derivative) for every step", "session_id": 3641, "sequence_id": 266, "annotations": []}
{"role": "volunteer", "content": "a -> v -> x for every step integrate", "session_id": 3641, "sequence_id": 267, "annotations": []}
{"role": "student", "content": "ahhh okay", "session_id": 3641, "sequence_id": 268, "annotations": []}
{"role": "student", "content": "a few mins to write notes", "session_id": 3641, "sequence_id": 269, "annotations": []}
{"role": "volunteer", "content": "go ahead", "session_id": 3641, "sequence_id": 270, "annotations": []}
{"role": "volunteer", "content": "I do need to leave soon so I might not be able to do another problem unfortunately", "session_id": 3641, "sequence_id": 271, "annotations": []}
{"role": "student", "content": "ohhhh do you think i can contact you through the chat?", "session_id": 3641, "sequence_id": 272, "annotations": []}
{"role": "student", "content": "i really learned a lot through this session", "session_id": 3641, "sequence_id": 273, "annotations": []}
{"role": "volunteer", "content": "Im not sure", "session_id": 3641, "sequence_id": 274, "annotations": []}
{"role": "volunteer", "content": "Im glad you learned though!", "session_id": 3641, "sequence_id": 275, "annotations": []}
{"role": "volunteer", "content": "I can help you tomorrow if I do see you requesting again at a similar time", "session_id": 3641, "sequence_id": 276, "annotations": []}
{"role": "student", "content": "okay!!!", "session_id": 3641, "sequence_id": 277, "annotations": []}
{"role": "student", "content": "do you have any final tips", "session_id": 3641, "sequence_id": 278, "annotations": []}
{"role": "student", "content": "for my exam....", "session_id": 3641, "sequence_id": 279, "annotations": []}
{"role": "student", "content": "also on particle motion", "session_id": 3641, "sequence_id": 280, "annotations": []}
{"role": "student", "content": "wait what are these letters", "session_id": 3641, "sequence_id": 281, "annotations": []}
{"role": "volunteer", "content": "Bounding is key to solve problems fast, knowing when to take a derivative or integrating should be second nature based on the a -> I sent above. If you do that, bound correctly, go step by step on the algebra similar to how I bounded here instead of bounding a number for all of it then subtracting it would be easier on you for simplifying", "session_id": 3641, "sequence_id": 282, "annotations": []}
{"role": "volunteer", "content": "its just a curvy x lol", "session_id": 3641, "sequence_id": 283, "annotations": []}
{"role": "volunteer", "content": "I do have to leave so If you can please take a screenshot", "session_id": 3641, "sequence_id": 284, "annotations": []}
{"role": "student", "content": "okay!!!", "session_id": 3641, "sequence_id": 285, "annotations": []}
{"role": "volunteer", "content": "I apologize for the inconvenience", "session_id": 3641, "sequence_id": 286, "annotations": []}
{"role": "student", "content": "thank you so much for helpinh me today i really appreciate it", "session_id": 3641, "sequence_id": 287, "annotations": []}
{"role": "student", "content": "have a goodnight", "session_id": 3641, "sequence_id": 288, "annotations": []}
{"role": "volunteer", "content": "you 2!", "session_id": 3641, "sequence_id": 289, "annotations": []}
{"role": "volunteer", "content": "Hi!", "session_id": 3766, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "Hello!", "session_id": 3766, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "How can I help you today?", "session_id": 3766, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "I have this geometric sequence problem that I got stuck on, I have an idea of what to do it's just I don't know how to set the knowledge in motion", "session_id": 3766, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "I was wondering if you could guide me through the question", "session_id": 3766, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "yeah of course", "session_id": 3766, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "whats the question", "session_id": 3766, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "I'll type it on here", "session_id": 3766, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "Let gn be a geometric sequence where g_1=-5 and g_3=-45. Which of the following could be r?", "session_id": 3766, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "I. r=-3  II. r=3  III. r=9", "session_id": 3766, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "Answer options are", "session_id": 3766, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "(a) I only  (b)  II only  (c) III only  (d)  I and II", "session_id": 3766, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "ok so for a geometric sequence do you know the formula?", "session_id": 3766, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "There are 2 but idk which one to use", "session_id": 3766, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "gn=g0r^n or gn=gkr^(n-k)", "session_id": 3766, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "It looks weird typed out let me kinda draw it for a better view-", "session_id": 3766, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "ok so for this problem you would use the second formula", "session_id": 3766, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "now you are given two values, g_1 and g_3", "session_id": 3766, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "so do you have an idea of how to plug these into the formula to solve for r?", "session_id": 3766, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "Yes I do!", "session_id": 3766, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "Would I have to use g_n or g_k tho", "session_id": 3766, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "so what you want to do here is to think of each of them as a different one, so gn should be one of them and gk should be the other", "session_id": 3766, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "try to get rid of all the variables in the formula other than r", "session_id": 3766, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "OHH", "session_id": 3766, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "So soul it be this (drawing it out)", "session_id": 3766, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "would*", "session_id": 3766, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "yes!", "session_id": 3766, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "you got it", "session_id": 3766, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "YAY", "session_id": 3766, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "now you can plug in the values for g_1 and g_3 to solve for r", "session_id": 3766, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "Aight let me solve it on paper", "session_id": 3766, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 3766, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "Ok I got r=3", "session_id": 3766, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "Do I have to do anything else?-", "session_id": 3766, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "ok so I think you missed one part when solving", "session_id": 3766, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "let me do it on the board", "session_id": 3766, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "k!", "session_id": 3766, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "I'll write my steps on here-", "session_id": 3766, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "oh wait nvm (First time using this-)", "session_id": 3766, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "I think when you did the square root, you missed the negative answer for it", "session_id": 3766, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "Ohhh, I forgot about that answer", "session_id": 3766, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "but basically since both 3 and -3 squared equals nine, they are both a possible answer for r", "session_id": 3766, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "So the answer is (d) I and II", "session_id": 3766, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "yep!", "session_id": 3766, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "good job", "session_id": 3766, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "Thank youuuu!", "session_id": 3766, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "of course!", "session_id": 3766, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "is there anything else you needed help on or was that it", "session_id": 3766, "sequence_id": 47, "annotations": []}
{"role": "student", "content": "Well already the Next problem is scaring me so yes-", "session_id": 3766, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "ok lol", "session_id": 3766, "sequence_id": 49, "annotations": []}
{"role": "student", "content": "\"Let an and gn be an arithmetic and geometric sequence with a_1 = g_1 = -1 and a_4 = g_4 = 8. What is the value of a_5-g_5?\"", "session_id": 3766, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "ok so what you want to do is figure out the formula for each one separately first", "session_id": 3766, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "lets start with an", "session_id": 3766, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "since you are given two values you can use the same technique as last time", "session_id": 3766, "sequence_id": 53, "annotations": []}
{"role": "student", "content": "So we use the 2nd arith formula?", "session_id": 3766, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "yeah", "session_id": 3766, "sequence_id": 55, "annotations": []}
{"role": "student", "content": "Do we worry about d?", "session_id": 3766, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "yeah so you want to solve for d here", "session_id": 3766, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "so you can get your equation for the arithmetic sequence", "session_id": 3766, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "great so now plug d into your formula along with ak to get the formula for an", "session_id": 3766, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "use a_1, its easier", "session_id": 3766, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "yeah", "session_id": 3766, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "almost", "session_id": 3766, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "make sure you keep the n as a variable here", "session_id": 3766, "sequence_id": 63, "annotations": []}
{"role": "student", "content": "Woops", "session_id": 3766, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "ok so that is your equation for the arith sequence", "session_id": 3766, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "now do the same thing basically for the geometric one", "session_id": 3766, "sequence_id": 66, "annotations": []}
{"role": "student", "content": "Aight", "session_id": 3766, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "ok so now same thing plug in the r value and g_1 into the formula to get your equation for gn", "session_id": 3766, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "wait you went too far", "session_id": 3766, "sequence_id": 69, "annotations": []}
{"role": "student", "content": "Er", "session_id": 3766, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "thats the equation", "session_id": 3766, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "you can multiply them since one has the exponent", "session_id": 3766, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "ok so now since you have both the equations", "session_id": 3766, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "solve each of them for the terms", "session_id": 3766, "sequence_id": 74, "annotations": []}
{"role": "volunteer", "content": "almost but make sure you do the exponent first before multiplying  here", "session_id": 3766, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "so do (-2)^4 before you multiply that by -1", "session_id": 3766, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 3766, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "so now just subtract a_5-g_5 for your answer", "session_id": 3766, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "yes!", "session_id": 3766, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "you got it", "session_id": 3766, "sequence_id": 80, "annotations": []}
{"role": "student", "content": "Thank you ever so for helping me!", "session_id": 3766, "sequence_id": 81, "annotations": []}
{"role": "volunteer", "content": "no problem!", "session_id": 3766, "sequence_id": 82, "annotations": []}
{"role": "volunteer", "content": "is there anything else?", "session_id": 3766, "sequence_id": 83, "annotations": []}
{"role": "student", "content": "Nope, I'm set!", "session_id": 3766, "sequence_id": 84, "annotations": []}
{"role": "volunteer", "content": "great", "session_id": 3766, "sequence_id": 85, "annotations": []}
{"role": "volunteer", "content": "have a good day!", "session_id": 3766, "sequence_id": 86, "annotations": []}
{"role": "student", "content": "You too!!", "session_id": 3766, "sequence_id": 87, "annotations": []}
{"role": "student", "content": "hi", "session_id": 3962, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "hi", "session_id": 3962, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "i have a geometry test tomorrow and nedded some help on some questions", "session_id": 3962, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 3962, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "im still pasting in more questions hold on", "session_id": 3962, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "okay done", "session_id": 3962, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "can u turn on ur mic, i feel like it would be easier and help me better that way", "session_id": 3962, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "is that ok", "session_id": 3962, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "Q' is the mirror image", "session_id": 3962, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "are u able to turn on your mic???", "session_id": 3962, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "Hello, can you hear me?", "session_id": 3962, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "Uh, yeah, I could hear you.", "session_id": 3962, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "OK, cool", "session_id": 3962, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "The Q is 1.5.", "session_id": 3962, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "R", "session_id": 3962, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "3", "session_id": 3962, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "1.", "session_id": 3962, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "Are you able to plot this already?", "session_id": 3962, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "Um", "session_id": 3962, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "no, those are already like there for like the question for number 4.", "session_id": 3962, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 3962, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "I'm just confused on like how I'm supposed to find the answer with RY equals -2. Like, is there like a um", "session_id": 3962, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "it's like equation I have to use. Like, I don't know.", "session_id": 3962, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "Um, so it's basically", "session_id": 3962, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "telling that", "session_id": 3962, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "that uh", "session_id": 3962, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "that the TT is minus, sorry, I'm just plotting here as well. Uh, minus 2.3.", "session_id": 3962, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "1.5.", "session_id": 3962, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "minus 2 X.", "session_id": 3962, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "must be", "session_id": 3962, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "and", "session_id": 3962, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "-2 this year.", "session_id": 3962, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "Yeah, so if you plot this, essentially it shows you like a", "session_id": 3962, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "quadrilateral", "session_id": 3962, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "figure", "session_id": 3962, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "and then what you need to do is are Y equal to minus 2 essentially is telling you that you want to find a reflection of this", "session_id": 3962, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "OK, so how would I use Y equals -2 to find my answer.", "session_id": 3962, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "Yeah, so you'll have", "session_id": 3962, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "basically why to -2 is anchored.", "session_id": 3962, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "at the point T. If you see T, T has X", "session_id": 3962, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "Sorry, uh, Y is equal to -2, right? So Y is equal to -2.", "session_id": 3962, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "will be", "session_id": 3962, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "on the Y-axis.", "session_id": 3962, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "at -2", "session_id": 3962, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "We need to find the reflections of each of these.", "session_id": 3962, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "Have you, have you studied reflection, dilation, translation.", "session_id": 3962, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "Like a little, yeah, but like I don't usually plot it like we have to, like, I'm pretty sure we have to just like", "session_id": 3962, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "use um", "session_id": 3962, "sequence_id": 47, "annotations": []}
{"role": "student", "content": "an equation to find the answer like without plotting it.", "session_id": 3962, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "Hello", "session_id": 3962, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "sorry we got disconnected", "session_id": 3962, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "for e.g. Q's y coordinate is at 5 and is  7 points away from -2 | so he reflection would be -2 -7 = -9 for Q' i.e. Q'(1,-9) | R ( 3, -3), S (0,-4) , T(-2, -7). That is the answer. I will be online if you can rejoin", "session_id": 3962, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "Hello How are you?", "session_id": 4234, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "Hello", "session_id": 4234, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "I\u2019m good", "session_id": 4234, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "How can I help?", "session_id": 4234, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "I was hoping if you could help me revise for my exam that\u2019s tomorrow", "session_id": 4234, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 4234, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "do u mean review?", "session_id": 4234, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 4234, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "Could we use voice chat because it helps me understand better", "session_id": 4234, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "OK pls wait", "session_id": 4234, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "Okay", "session_id": 4234, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "OK, I'm talking now. Can you hear me?", "session_id": 4234, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "Yeah, I can hear you", "session_id": 4234, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "OK, I'm gonna just turn down the volume. Is my volume OK?", "session_id": 4234, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 4234, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "All right, I'm gonna turn down the uh you're a little loud. Don't, don't, don't change any. I, I'll change the volume here.", "session_id": 4234, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 4234, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "All right, so how can I help now?", "session_id": 4234, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "Um, so", "session_id": 4234, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "I was hoping if we could like review this.", "session_id": 4234, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 4234, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "Uh, do you have specific questions or should we go over what's on this sheet or what would you like to do?", "session_id": 4234, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "Um", "session_id": 4234, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "I was like", "session_id": 4234, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "if we, if I could like solve it.", "session_id": 4234, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 4234, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "check if it's like cracked.", "session_id": 4234, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "OK, yeah, yeah, OK. I'm, I'm going to uh just give me a minute. I'm gonna look, uh, I'm gonna move this picture to another screen here so it'll be a little bit bigger.", "session_id": 4234, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "and then we can go from", "session_id": 4234, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "there.", "session_id": 4234, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 4234, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "All right", "session_id": 4234, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "So OK, so we're looking at example number one, is that right?", "session_id": 4234, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 4234, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "Yeah, so, should I try to explain it to you?", "session_id": 4234, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "Yes, yes, that's a good idea, yes.", "session_id": 4234, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "So, we're gonna talk about the coordinate plane now, and it's a", "session_id": 4234, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 4234, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "um", "session_id": 4234, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "when one is drawn horizontally and the other is like vertically.", "session_id": 4234, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "Yes", "session_id": 4234, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "The horizontal is like daxaxis and the vertical line is the y axis and", "session_id": 4234, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "it, um", "session_id": 4234, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "And, and what about where they cross? What do we call that?", "session_id": 4234, "sequence_id": 43, "annotations": []}
{"role": "student", "content": "oh, the origin?", "session_id": 4234, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "That's right. That's right. Yes.", "session_id": 4234, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "and then", "session_id": 4234, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "the pear X and Y, it's like the ordered pair.", "session_id": 4234, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "That's right", "session_id": 4234, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "and then the first number is the horizon to vault.", "session_id": 4234, "sequence_id": 49, "annotations": []}
{"role": "student", "content": "x-axis", "session_id": 4234, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "Yes, or X value, yeah.", "session_id": 4234, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "and then the vertical is like the", "session_id": 4234, "sequence_id": 52, "annotations": []}
{"role": "student", "content": "Y value", "session_id": 4234, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 4234, "sequence_id": 54, "annotations": []}
{"role": "student", "content": "Um, should I do example one now or?", "session_id": 4234, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "Yeah, if you'd like to, yeah.", "session_id": 4234, "sequence_id": 56, "annotations": []}
{"role": "student", "content": "So first, I'll draw a coordinate plan.", "session_id": 4234, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 4234, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "So now you're gonna draw this on the whiteboard.", "session_id": 4234, "sequence_id": 59, "annotations": []}
{"role": "student", "content": "Um, I don't think I can cause I'm using my phone right now.", "session_id": 4234, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "OK, OK. Uh, so", "session_id": 4234, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "you're gonna just draw it on paper and then tell me what you did. Is that the plan?", "session_id": 4234, "sequence_id": 62, "annotations": []}
{"role": "student", "content": "Yeah.", "session_id": 4234, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "OK.", "session_id": 4234, "sequence_id": 64, "annotations": []}
{"role": "student", "content": "Oh.", "session_id": 4234, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "Do you have some graph paper?", "session_id": 4234, "sequence_id": 66, "annotations": []}
{"role": "student", "content": "What? Sorry. Um", "session_id": 4234, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "I do.", "session_id": 4234, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "I, I mean, you can draw the grid, you know, but I mean if if you have graph paper, you know, it already has a grid on it, as I just don't know if you have that.", "session_id": 4234, "sequence_id": 69, "annotations": []}
{"role": "student", "content": "oh, I don't have that", "session_id": 4234, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "OK, OK", "session_id": 4234, "sequence_id": 71, "annotations": []}
{"role": "student", "content": "I'm using my whiteboard right now.", "session_id": 4234, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "Oh, I see. You, you have a whiteboard where you can uh", "session_id": 4234, "sequence_id": 73, "annotations": []}
{"role": "student", "content": "Yeah.", "session_id": 4234, "sequence_id": 74, "annotations": []}
{"role": "volunteer", "content": "write with, with, with, with markers and things.", "session_id": 4234, "sequence_id": 75, "annotations": []}
{"role": "student", "content": "Yeah.", "session_id": 4234, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 4234, "sequence_id": 77, "annotations": []}
{"role": "student", "content": "So I drew the coordinate plan, so now we're gonna locate a", "session_id": 4234, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "Yeah, OK", "session_id": 4234, "sequence_id": 79, "annotations": []}
{"role": "student", "content": "so", "session_id": 4234, "sequence_id": 80, "annotations": []}
{"role": "student", "content": "we have to do 2, which is on the x axis because the first number is always on the x-axis.", "session_id": 4234, "sequence_id": 81, "annotations": []}
{"role": "volunteer", "content": "Yeah, that's right", "session_id": 4234, "sequence_id": 82, "annotations": []}
{"role": "student", "content": "So we go to 2.", "session_id": 4234, "sequence_id": 83, "annotations": []}
{"role": "volunteer", "content": "Right.", "session_id": 4234, "sequence_id": 84, "annotations": []}
{"role": "student", "content": "We start at 0 and then we go to 2, and then we go up.", "session_id": 4234, "sequence_id": 85, "annotations": []}
{"role": "student", "content": "to 3", "session_id": 4234, "sequence_id": 86, "annotations": []}
{"role": "volunteer", "content": "That's right", "session_id": 4234, "sequence_id": 87, "annotations": []}
{"role": "student", "content": "So it should be like", "session_id": 4234, "sequence_id": 88, "annotations": []}
{"role": "student", "content": "I don't really know how to explain where it is, but", "session_id": 4234, "sequence_id": 89, "annotations": []}
{"role": "volunteer", "content": "Well, you could just look at example 3 and, and", "session_id": 4234, "sequence_id": 90, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 4234, "sequence_id": 91, "annotations": []}
{"role": "volunteer", "content": "see if you agree with where they put it. You see, they already have it there, so", "session_id": 4234, "sequence_id": 92, "annotations": []}
{"role": "student", "content": "I got the same thing", "session_id": 4234, "sequence_id": 93, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 4234, "sequence_id": 94, "annotations": []}
{"role": "volunteer", "content": "All right, so now, uh, how about you do B?", "session_id": 4234, "sequence_id": 95, "annotations": []}
{"role": "volunteer", "content": "Yeah.", "session_id": 4234, "sequence_id": 96, "annotations": []}
{"role": "student", "content": "B, you start at 0 and then", "session_id": 4234, "sequence_id": 97, "annotations": []}
{"role": "student", "content": "you go left.", "session_id": 4234, "sequence_id": 98, "annotations": []}
{"role": "student", "content": "to -3", "session_id": 4234, "sequence_id": 99, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 4234, "sequence_id": 100, "annotations": []}
{"role": "student", "content": "Um", "session_id": 4234, "sequence_id": 101, "annotations": []}
{"role": "volunteer", "content": "That's right. That's correct. I shouldn't say right because this graph", "session_id": 4234, "sequence_id": 102, "annotations": []}
{"role": "volunteer", "content": "That's correct", "session_id": 4234, "sequence_id": 103, "annotations": []}
{"role": "volunteer", "content": "and that", "session_id": 4234, "sequence_id": 104, "annotations": []}
{"role": "student", "content": "And then", "session_id": 4234, "sequence_id": 105, "annotations": []}
{"role": "student", "content": "OK", "session_id": 4234, "sequence_id": 106, "annotations": []}
{"role": "student", "content": "to 3", "session_id": 4234, "sequence_id": 107, "annotations": []}
{"role": "volunteer", "content": "uh, that's, yes, that's correct.", "session_id": 4234, "sequence_id": 108, "annotations": []}
{"role": "student", "content": "And then C, we start at 0, go left.", "session_id": 4234, "sequence_id": 109, "annotations": []}
{"role": "student", "content": "and then go up, no, go down to -3.", "session_id": 4234, "sequence_id": 110, "annotations": []}
{"role": "volunteer", "content": "Yeah.", "session_id": 4234, "sequence_id": 111, "annotations": []}
{"role": "student", "content": "and then D", "session_id": 4234, "sequence_id": 112, "annotations": []}
{"role": "student", "content": "which is you start at 0 and then go to 3 and then go down to -4.", "session_id": 4234, "sequence_id": 113, "annotations": []}
{"role": "student", "content": "And", "session_id": 4234, "sequence_id": 114, "annotations": []}
{"role": "volunteer", "content": "That's right", "session_id": 4234, "sequence_id": 115, "annotations": []}
{"role": "student", "content": "Yeah.", "session_id": 4234, "sequence_id": 116, "annotations": []}
{"role": "volunteer", "content": "That's good. So what you have should", "session_id": 4234, "sequence_id": 117, "annotations": []}
{"role": "volunteer", "content": "it looks, look essentially like what they're showing is the solution here, OK?", "session_id": 4234, "sequence_id": 118, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 4234, "sequence_id": 119, "annotations": []}
{"role": "volunteer", "content": "Now, have you heard about the quadrants, you may not learn about those until late.", "session_id": 4234, "sequence_id": 120, "annotations": []}
{"role": "student", "content": "Oh yeah.", "session_id": 4234, "sequence_id": 121, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 4234, "sequence_id": 122, "annotations": []}
{"role": "student", "content": "5", "session_id": 4234, "sequence_id": 123, "annotations": []}
{"role": "volunteer", "content": "So, so what quadrant is A in?", "session_id": 4234, "sequence_id": 124, "annotations": []}
{"role": "student", "content": "A is in quadrant 1.", "session_id": 4234, "sequence_id": 125, "annotations": []}
{"role": "volunteer", "content": "OK, and B", "session_id": 4234, "sequence_id": 126, "annotations": []}
{"role": "student", "content": "quadrant 2.", "session_id": 4234, "sequence_id": 127, "annotations": []}
{"role": "volunteer", "content": "yeah, and C", "session_id": 4234, "sequence_id": 128, "annotations": []}
{"role": "student", "content": "quadrant 3", "session_id": 4234, "sequence_id": 129, "annotations": []}
{"role": "volunteer", "content": "OK, and D", "session_id": 4234, "sequence_id": 130, "annotations": []}
{"role": "student", "content": "quadrant 4", "session_id": 4234, "sequence_id": 131, "annotations": []}
{"role": "volunteer", "content": "Yeah, so we, we go around counter-clockwise. Do you know what that means?", "session_id": 4234, "sequence_id": 132, "annotations": []}
{"role": "student", "content": "Yeah.", "session_id": 4234, "sequence_id": 133, "annotations": []}
{"role": "volunteer", "content": "Yeah, OK", "session_id": 4234, "sequence_id": 134, "annotations": []}
{"role": "volunteer", "content": "With digital clocks, some people don't know what counterclockwise means.", "session_id": 4234, "sequence_id": 135, "annotations": []}
{"role": "student", "content": "Oh", "session_id": 4234, "sequence_id": 136, "annotations": []}
{"role": "volunteer", "content": "Oh wait, I have a phone call here. Just give me a second here. It's probably a scam at this point.", "session_id": 4234, "sequence_id": 137, "annotations": []}
{"role": "volunteer", "content": "Hello", "session_id": 4234, "sequence_id": 138, "annotations": []}
{"role": "volunteer", "content": "Hello", "session_id": 4234, "sequence_id": 139, "annotations": []}
{"role": "volunteer", "content": "I'm back. It was a scam. Health insurance.", "session_id": 4234, "sequence_id": 140, "annotations": []}
{"role": "student", "content": "well", "session_id": 4234, "sequence_id": 141, "annotations": []}
{"role": "volunteer", "content": "just goes on and on", "session_id": 4234, "sequence_id": 142, "annotations": []}
{"role": "volunteer", "content": "OK, so we've done the example one now.", "session_id": 4234, "sequence_id": 143, "annotations": []}
{"role": "volunteer", "content": "what should we do next", "session_id": 4234, "sequence_id": 144, "annotations": []}
{"role": "student", "content": "um, the activity.", "session_id": 4234, "sequence_id": 145, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 4234, "sequence_id": 146, "annotations": []}
{"role": "student", "content": "OK, did it upload or? OK.", "session_id": 4234, "sequence_id": 147, "annotations": []}
{"role": "volunteer", "content": "Uh, it's coming up uh", "session_id": 4234, "sequence_id": 148, "annotations": []}
{"role": "volunteer", "content": "uh", "session_id": 4234, "sequence_id": 149, "annotations": []}
{"role": "volunteer", "content": "let me see if I can find it. I think it's, uh, I'm gonna move it a little bit cause I think it's under what we already have.", "session_id": 4234, "sequence_id": 150, "annotations": []}
{"role": "volunteer", "content": "Oh, wait a minute, let me move things around here.", "session_id": 4234, "sequence_id": 151, "annotations": []}
{"role": "volunteer", "content": "OK, I'm gonna make it a little bigger and then I'm gonna copy it over to my other screen, so.", "session_id": 4234, "sequence_id": 152, "annotations": []}
{"role": "volunteer", "content": "bear with me here", "session_id": 4234, "sequence_id": 153, "annotations": []}
{"role": "volunteer", "content": "OK, so I'm going", "session_id": 4234, "sequence_id": 154, "annotations": []}
{"role": "volunteer", "content": "to select this, select this.", "session_id": 4234, "sequence_id": 155, "annotations": []}
{"role": "volunteer", "content": "select this", "session_id": 4234, "sequence_id": 156, "annotations": []}
{"role": "volunteer", "content": "and we'll do that.", "session_id": 4234, "sequence_id": 157, "annotations": []}
{"role": "volunteer", "content": "OK, so I'm looking at an activity one.", "session_id": 4234, "sequence_id": 158, "annotations": []}
{"role": "student", "content": "Mm.", "session_id": 4234, "sequence_id": 159, "annotations": []}
{"role": "volunteer", "content": "and magnified here.", "session_id": 4234, "sequence_id": 160, "annotations": []}
{"role": "volunteer", "content": "I'll magnify it a little more", "session_id": 4234, "sequence_id": 161, "annotations": []}
{"role": "volunteer", "content": "OK, so", "session_id": 4234, "sequence_id": 162, "annotations": []}
{"role": "volunteer", "content": "I see. So this one", "session_id": 4234, "sequence_id": 163, "annotations": []}
{"role": "volunteer", "content": "uh, it looks like, let me see if I'm correct here.", "session_id": 4234, "sequence_id": 164, "annotations": []}
{"role": "volunteer", "content": "Yes, it looks like they don't, oh, wait a minute, maybe they do.", "session_id": 4234, "sequence_id": 165, "annotations": []}
{"role": "volunteer", "content": "I'm a, I'm a little", "session_id": 4234, "sequence_id": 166, "annotations": []}
{"role": "volunteer", "content": "OK, it looks", "session_id": 4234, "sequence_id": 167, "annotations": []}
{"role": "volunteer", "content": "oh, I see, it looks like an activity one.", "session_id": 4234, "sequence_id": 168, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 4234, "sequence_id": 169, "annotations": []}
{"role": "volunteer", "content": "Yeah, they, they, they, they don't show them.", "session_id": 4234, "sequence_id": 170, "annotations": []}
{"role": "student", "content": "Oh yeah, there's no coordinate plan.", "session_id": 4234, "sequence_id": 171, "annotations": []}
{"role": "volunteer", "content": "Well, I see a coordinate plane, that's the thing.", "session_id": 4234, "sequence_id": 172, "annotations": []}
{"role": "volunteer", "content": "And then I see a K and an I. I.", "session_id": 4234, "sequence_id": 173, "annotations": []}
{"role": "student", "content": "Oh no, that's the other.", "session_id": 4234, "sequence_id": 174, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 4234, "sequence_id": 175, "annotations": []}
{"role": "volunteer", "content": "Oh, OK, OK, I see that's another reason OK, OK. I, I see. Yeah, OK, I got it. So that, that doesn't apply, OK.", "session_id": 4234, "sequence_id": 176, "annotations": []}
{"role": "volunteer", "content": "All right. So, um", "session_id": 4234, "sequence_id": 177, "annotations": []}
{"role": "volunteer", "content": "right, here's what I'll tell you what I'm gonna do on the whiteboard, I will draw", "session_id": 4234, "sequence_id": 178, "annotations": []}
{"role": "volunteer", "content": "and, and you can tell, you, you can tell me where to put the points, OK?", "session_id": 4234, "sequence_id": 179, "annotations": []}
{"role": "student", "content": "OK, yeah", "session_id": 4234, "sequence_id": 180, "annotations": []}
{"role": "volunteer", "content": "So I'm gonna draw some axes here. Now,", "session_id": 4234, "sequence_id": 181, "annotations": []}
{"role": "volunteer", "content": "let me just think about this. One of the problems is", "session_id": 4234, "sequence_id": 182, "annotations": []}
{"role": "volunteer", "content": "that these um", "session_id": 4234, "sequence_id": 183, "annotations": []}
{"role": "volunteer", "content": "right", "session_id": 4234, "sequence_id": 184, "annotations": []}
{"role": "volunteer", "content": "so do you see the uh let me try to make it straighter here. You see that black line? That's the x-axis.", "session_id": 4234, "sequence_id": 185, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 4234, "sequence_id": 186, "annotations": []}
{"role": "volunteer", "content": "See, it doesn't, doesn't let me move it.", "session_id": 4234, "sequence_id": 187, "annotations": []}
{"role": "volunteer", "content": "Yeah, yeah, I used to let me move and see, I'm trying to get it, all right, well.", "session_id": 4234, "sequence_id": 188, "annotations": []}
{"role": "volunteer", "content": "I'll do my best and uh there we go, OK, and now I will put a Y-axis.", "session_id": 4234, "sequence_id": 189, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 4234, "sequence_id": 190, "annotations": []}
{"role": "volunteer", "content": "Now, let's try this.", "session_id": 4234, "sequence_id": 191, "annotations": []}
{"role": "volunteer", "content": "um", "session_id": 4234, "sequence_id": 192, "annotations": []}
{"role": "volunteer", "content": "let me think about this.", "session_id": 4234, "sequence_id": 193, "annotations": []}
{"role": "volunteer", "content": "OK, that's all right. Each little square is gonna be one. They're, they're kind of close together, but I think we can live with that. So we're going to start with T. So tell me how I should get to pee and I will put a dot there, OK?", "session_id": 4234, "sequence_id": 194, "annotations": []}
{"role": "student", "content": "OK", "session_id": 4234, "sequence_id": 195, "annotations": []}
{"role": "student", "content": "Um.", "session_id": 4234, "sequence_id": 196, "annotations": []}
{"role": "volunteer", "content": "Or I should say I will try to put a dot there. I never know.", "session_id": 4234, "sequence_id": 197, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 4234, "sequence_id": 198, "annotations": []}
{"role": "student", "content": "P, um, is start at 0 and then go to the left 4 steps.", "session_id": 4234, "sequence_id": 199, "annotations": []}
{"role": "volunteer", "content": "OK. Can you see my cursor?", "session_id": 4234, "sequence_id": 200, "annotations": []}
{"role": "student", "content": "What", "session_id": 4234, "sequence_id": 201, "annotations": []}
{"role": "volunteer", "content": "Do you see my cursor on the screen?", "session_id": 4234, "sequence_id": 202, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 4234, "sequence_id": 203, "annotations": []}
{"role": "volunteer", "content": "OK, so I moved it to the left for I think, but my eyes aren't so good, so it could be 5,", "session_id": 4234, "sequence_id": 204, "annotations": []}
{"role": "volunteer", "content": "well, it looks like 4, no, well, you count them. Does it look like 4?", "session_id": 4234, "sequence_id": 205, "annotations": []}
{"role": "student", "content": "but", "session_id": 4234, "sequence_id": 206, "annotations": []}
{"role": "volunteer", "content": "or is it 5? No, I think it's 5. OK, I'm moving over to 4.", "session_id": 4234, "sequence_id": 207, "annotations": []}
{"role": "volunteer", "content": "OK, so there's, wait, no, that's 3.", "session_id": 4234, "sequence_id": 208, "annotations": []}
{"role": "student", "content": "one", "session_id": 4234, "sequence_id": 209, "annotations": []}
{"role": "volunteer", "content": "OK, something's weird here.", "session_id": 4234, "sequence_id": 210, "annotations": []}
{"role": "student", "content": "I think it's their way.", "session_id": 4234, "sequence_id": 211, "annotations": []}
{"role": "volunteer", "content": "OK, OK", "session_id": 4234, "sequence_id": 212, "annotations": []}
{"role": "student", "content": "wait, should I turn", "session_id": 4234, "sequence_id": 213, "annotations": []}
{"role": "student", "content": "here?", "session_id": 4234, "sequence_id": 214, "annotations": []}
{"role": "volunteer", "content": "12, yeah, right there, that's it. OK. And then we go, now what do we do here we go up one.", "session_id": 4234, "sequence_id": 215, "annotations": []}
{"role": "student", "content": "and then, yeah, go up one step.", "session_id": 4234, "sequence_id": 216, "annotations": []}
{"role": "volunteer", "content": "OK, so I will put a dot.", "session_id": 4234, "sequence_id": 217, "annotations": []}
{"role": "volunteer", "content": "OK, well, it's a little bit big, but that pink dot is it, OK?", "session_id": 4234, "sequence_id": 218, "annotations": []}
{"role": "student", "content": "Yeah.", "session_id": 4234, "sequence_id": 219, "annotations": []}
{"role": "volunteer", "content": "I'm not very good at putting them, but OK. So that we're taking care of P. Now tell me what to do about cure.", "session_id": 4234, "sequence_id": 220, "annotations": []}
{"role": "student", "content": "2 OK", "session_id": 4234, "sequence_id": 221, "annotations": []}
{"role": "volunteer", "content": "and I'll use it, I'll use it to try to use a different color, you know.", "session_id": 4234, "sequence_id": 222, "annotations": []}
{"role": "student", "content": "start at 0 and then go 3 steps to the right.", "session_id": 4234, "sequence_id": 223, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 4234, "sequence_id": 224, "annotations": []}
{"role": "volunteer", "content": "So", "session_id": 4234, "sequence_id": 225, "annotations": []}
{"role": "volunteer", "content": "12, does that look right? 12, feel my cursor is.", "session_id": 4234, "sequence_id": 226, "annotations": []}
{"role": "student", "content": "123, yeah.", "session_id": 4234, "sequence_id": 227, "annotations": []}
{"role": "volunteer", "content": "OK, and then what do we do", "session_id": 4234, "sequence_id": 228, "annotations": []}
{"role": "student", "content": "um", "session_id": 4234, "sequence_id": 229, "annotations": []}
{"role": "student", "content": "5 steps up.", "session_id": 4234, "sequence_id": 230, "annotations": []}
{"role": "volunteer", "content": "So that's 3 steps, 4 steps, 5 steps, so I'll put a thing that", "session_id": 4234, "sequence_id": 231, "annotations": []}
{"role": "volunteer", "content": "and you see that, oh, well.", "session_id": 4234, "sequence_id": 232, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 4234, "sequence_id": 233, "annotations": []}
{"role": "volunteer", "content": "All right, I'll, I'll try. All right, well, yeah, I think you guys pretty close", "session_id": 4234, "sequence_id": 234, "annotations": []}
{"role": "volunteer", "content": "Uh, OK, let me try one more time, see if I can do a little better.", "session_id": 4234, "sequence_id": 235, "annotations": []}
{"role": "volunteer", "content": "I think that's blue though. I thought it was supposed to be green. All right, 12.", "session_id": 4234, "sequence_id": 236, "annotations": []}
{"role": "volunteer", "content": "3, and then I go up.", "session_id": 4234, "sequence_id": 237, "annotations": []}
{"role": "volunteer", "content": "12", "session_id": 4234, "sequence_id": 238, "annotations": []}
{"role": "volunteer", "content": "3,", "session_id": 4234, "sequence_id": 239, "annotations": []}
{"role": "volunteer", "content": "Right, how does it, well, OK, the top of that, the top of that thing I drew there, that should be the point, OK?", "session_id": 4234, "sequence_id": 240, "annotations": []}
{"role": "student", "content": "Yeah.", "session_id": 4234, "sequence_id": 241, "annotations": []}
{"role": "volunteer", "content": "OK. All right. So now we've got R", "session_id": 4234, "sequence_id": 242, "annotations": []}
{"role": "student", "content": "R", "session_id": 4234, "sequence_id": 243, "annotations": []}
{"role": "volunteer", "content": "so tell me what, I'm gonna try a different color, but tell me what to do for R", "session_id": 4234, "sequence_id": 244, "annotations": []}
{"role": "student", "content": "OK, so start at 0 and then", "session_id": 4234, "sequence_id": 245, "annotations": []}
{"role": "volunteer", "content": "Yeah, OK", "session_id": 4234, "sequence_id": 246, "annotations": []}
{"role": "student", "content": "6 steps to the", "session_id": 4234, "sequence_id": 247, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 4234, "sequence_id": 248, "annotations": []}
{"role": "student", "content": "right", "session_id": 4234, "sequence_id": 249, "annotations": []}
{"role": "volunteer", "content": "Let's do 4", "session_id": 4234, "sequence_id": 250, "annotations": []}
{"role": "volunteer", "content": "OK. I think I'm at 6 to the right, and then what do we do?", "session_id": 4234, "sequence_id": 251, "annotations": []}
{"role": "student", "content": "And then um", "session_id": 4234, "sequence_id": 252, "annotations": []}
{"role": "student", "content": "go", "session_id": 4234, "sequence_id": 253, "annotations": []}
{"role": "student", "content": "2 steps down.", "session_id": 4234, "sequence_id": 254, "annotations": []}
{"role": "volunteer", "content": "OK. And I'm gonna put a red mark there, I hope.", "session_id": 4234, "sequence_id": 255, "annotations": []}
{"role": "volunteer", "content": "Oops, well", "session_id": 4234, "sequence_id": 256, "annotations": []}
{"role": "volunteer", "content": "OK, so", "session_id": 4234, "sequence_id": 257, "annotations": []}
{"role": "volunteer", "content": "but let me try again.", "session_id": 4234, "sequence_id": 258, "annotations": []}
{"role": "volunteer", "content": "I'm trying to make a little mark, but it doesn't let me make little tiny marks.", "session_id": 4234, "sequence_id": 259, "annotations": []}
{"role": "volunteer", "content": "OK, how's that? Does that look about right?", "session_id": 4234, "sequence_id": 260, "annotations": []}
{"role": "student", "content": "Yeah.", "session_id": 4234, "sequence_id": 261, "annotations": []}
{"role": "volunteer", "content": "One time we count", "session_id": 4234, "sequence_id": 262, "annotations": []}
{"role": "volunteer", "content": "1234.", "session_id": 4234, "sequence_id": 263, "annotations": []}
{"role": "volunteer", "content": "00 yeah", "session_id": 4234, "sequence_id": 264, "annotations": []}
{"role": "volunteer", "content": "I just wanna be sure that's 6.", "session_id": 4234, "sequence_id": 265, "annotations": []}
{"role": "volunteer", "content": "OK, I guess it is. Yeah, OK.", "session_id": 4234, "sequence_id": 266, "annotations": []}
{"role": "student", "content": "Oh", "session_id": 4234, "sequence_id": 267, "annotations": []}
{"role": "volunteer", "content": "All right. So now we've got one more to go, right? That's 5.", "session_id": 4234, "sequence_id": 268, "annotations": []}
{"role": "volunteer", "content": "But you see, we've, we've got 4 quadrants taking, I think they put, oh wait a minute, wait a minute.", "session_id": 4234, "sequence_id": 269, "annotations": []}
{"role": "student", "content": "Oh.", "session_id": 4234, "sequence_id": 270, "annotations": []}
{"role": "volunteer", "content": "wait a minute.", "session_id": 4234, "sequence_id": 271, "annotations": []}
{"role": "volunteer", "content": "I'm", "session_id": 4234, "sequence_id": 272, "annotations": []}
{"role": "volunteer", "content": "a little confused. Oh", "session_id": 4234, "sequence_id": 273, "annotations": []}
{"role": "volunteer", "content": "Yeah, OK, yeah, the next one's gonna be in quadrant 3. OK. So what should I do for the, for S?", "session_id": 4234, "sequence_id": 274, "annotations": []}
{"role": "student", "content": "Oh, wait, let me just, OK, so 0 and then go 4 steps, 3 left.", "session_id": 4234, "sequence_id": 275, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 4234, "sequence_id": 276, "annotations": []}
{"role": "volunteer", "content": "So we go", "session_id": 4234, "sequence_id": 277, "annotations": []}
{"role": "volunteer", "content": "OK, now that's the same as I mean he was 4 steps to the left, so that'll be there. Then what do I do?", "session_id": 4234, "sequence_id": 278, "annotations": []}
{"role": "student", "content": "and then", "session_id": 4234, "sequence_id": 279, "annotations": []}
{"role": "volunteer", "content": "Then I go", "session_id": 4234, "sequence_id": 280, "annotations": []}
{"role": "student", "content": "4 steps down", "session_id": 4234, "sequence_id": 281, "annotations": []}
{"role": "volunteer", "content": "12", "session_id": 4234, "sequence_id": 282, "annotations": []}
{"role": "volunteer", "content": "34, and this one will be blue.", "session_id": 4234, "sequence_id": 283, "annotations": []}
{"role": "volunteer", "content": "But while I thought it was gonna be blue. OK, it's red.", "session_id": 4234, "sequence_id": 284, "annotations": []}
{"role": "volunteer", "content": "So, OK, so, so now we've got all 4 of them, and they seemed to", "session_id": 4234, "sequence_id": 285, "annotations": []}
{"role": "volunteer", "content": "usually do one in each quadrant, OK?", "session_id": 4234, "sequence_id": 286, "annotations": []}
{"role": "student", "content": "Yeah.", "session_id": 4234, "sequence_id": 287, "annotations": []}
{"role": "volunteer", "content": "All right. So now,", "session_id": 4234, "sequence_id": 288, "annotations": []}
{"role": "volunteer", "content": "we've taken care of that now.", "session_id": 4234, "sequence_id": 289, "annotations": []}
{"role": "volunteer", "content": "I'm a little con 00, I see, and my eyes aren't so good. OK, so the next thing, should we look at activity 2.", "session_id": 4234, "sequence_id": 290, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 4234, "sequence_id": 291, "annotations": []}
{"role": "volunteer", "content": "OK, let me", "session_id": 4234, "sequence_id": 292, "annotations": []}
{"role": "volunteer", "content": "all right, wait a minute, wait a minute. Uh OK, draw one.", "session_id": 4234, "sequence_id": 293, "annotations": []}
{"role": "volunteer", "content": "OK, here's what I'll do", "session_id": 4234, "sequence_id": 294, "annotations": []}
{"role": "volunteer", "content": "Uh, OK, let's try to use the same coordinate plane, and I'll try to", "session_id": 4234, "sequence_id": 295, "annotations": []}
{"role": "volunteer", "content": "put dots like maybe we'll use different colors for these. So the first one now, the new P is what P.", "session_id": 4234, "sequence_id": 296, "annotations": []}
{"role": "volunteer", "content": "So is it all right if I put them on the same plane here?", "session_id": 4234, "sequence_id": 297, "annotations": []}
{"role": "student", "content": "Wait, let me", "session_id": 4234, "sequence_id": 298, "annotations": []}
{"role": "student", "content": "Yeah we should.", "session_id": 4234, "sequence_id": 299, "annotations": []}
{"role": "student", "content": "beros", "session_id": 4234, "sequence_id": 300, "annotations": []}
{"role": "volunteer", "content": "I'm sorry, I didn't hear you", "session_id": 4234, "sequence_id": 301, "annotations": []}
{"role": "student", "content": "Should I like raise it or I raised them.", "session_id": 4234, "sequence_id": 302, "annotations": []}
{"role": "volunteer", "content": "Oh, all right, all right. If you want to erase it, all right. Yeah, I can erase some too. OK, all right. I will, uh", "session_id": 4234, "sequence_id": 303, "annotations": []}
{"role": "volunteer", "content": "wait a minute, let me fix that. I think I can fix. OK.", "session_id": 4234, "sequence_id": 304, "annotations": []}
{"role": "volunteer", "content": "All right, yeah, erase that too and I'll try to fix the gap.", "session_id": 4234, "sequence_id": 305, "annotations": []}
{"role": "student", "content": "OK", "session_id": 4234, "sequence_id": 306, "annotations": []}
{"role": "volunteer", "content": "Uh, uh, OK, let me, uh", "session_id": 4234, "sequence_id": 307, "annotations": []}
{"role": "volunteer", "content": "let me try this here.", "session_id": 4234, "sequence_id": 308, "annotations": []}
{"role": "volunteer", "content": "Let's draw a line here.", "session_id": 4234, "sequence_id": 309, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 4234, "sequence_id": 310, "annotations": []}
{"role": "student", "content": "Yeah.", "session_id": 4234, "sequence_id": 311, "annotations": []}
{"role": "volunteer", "content": "All right, that's pretty good. OK. Uh, now, we'll just ignore that, that black dot, OK? And I will use", "session_id": 4234, "sequence_id": 312, "annotations": []}
{"role": "volunteer", "content": "red for now", "session_id": 4234, "sequence_id": 313, "annotations": []}
{"role": "volunteer", "content": "Oh, OK", "session_id": 4234, "sequence_id": 314, "annotations": []}
{"role": "volunteer", "content": "All right. So, what's the first one, the new P, what's the value?", "session_id": 4234, "sequence_id": 315, "annotations": []}
{"role": "student", "content": "So first we start at 0 and then go 5 units to the left.", "session_id": 4234, "sequence_id": 316, "annotations": []}
{"role": "volunteer", "content": "And then what do we do", "session_id": 4234, "sequence_id": 317, "annotations": []}
{"role": "student", "content": "And then you can't really go up and down so it is.", "session_id": 4234, "sequence_id": 318, "annotations": []}
{"role": "volunteer", "content": "That's right. So how about when that red mark is, does that look good?", "session_id": 4234, "sequence_id": 319, "annotations": []}
{"role": "student", "content": "Yeah.", "session_id": 4234, "sequence_id": 320, "annotations": []}
{"role": "volunteer", "content": "OK. All right. So now the next one", "session_id": 4234, "sequence_id": 321, "annotations": []}
{"role": "student", "content": "Mhm.", "session_id": 4234, "sequence_id": 322, "annotations": []}
{"role": "volunteer", "content": "is Q, so what do we do for that?", "session_id": 4234, "sequence_id": 323, "annotations": []}
{"role": "student", "content": "We start at 0 and that's", "session_id": 4234, "sequence_id": 324, "annotations": []}
{"role": "student", "content": "well, that's the thing we get in that.", "session_id": 4234, "sequence_id": 325, "annotations": []}
{"role": "volunteer", "content": "But that's 1234. OK. So, I'll put a red mark.", "session_id": 4234, "sequence_id": 326, "annotations": []}
{"role": "volunteer", "content": "there. How's that? Well, OK. I think you get the idea that the red marks a little too big, but OK.", "session_id": 4234, "sequence_id": 327, "annotations": []}
{"role": "volunteer", "content": "All right. I've got one, another phone call. Just bear with me.", "session_id": 4234, "sequence_id": 328, "annotations": []}
{"role": "volunteer", "content": "OK, I'm back. That was another scam call. I'm going to mute the phone, just bear with me here. This phone, I have two phones, I can't mute the other one.", "session_id": 4234, "sequence_id": 329, "annotations": []}
{"role": "volunteer", "content": "OK. All right. So now we've got two red marks. What's the next thing we're gonna do here?", "session_id": 4234, "sequence_id": 330, "annotations": []}
{"role": "student", "content": "and then um R", "session_id": 4234, "sequence_id": 331, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 4234, "sequence_id": 332, "annotations": []}
{"role": "student", "content": "which is 0 and then go down.", "session_id": 4234, "sequence_id": 333, "annotations": []}
{"role": "student", "content": "it", "session_id": 4234, "sequence_id": 334, "annotations": []}
{"role": "volunteer", "content": "OK. So, OK, yeah, so we go down to.", "session_id": 4234, "sequence_id": 335, "annotations": []}
{"role": "student", "content": "-2 and then", "session_id": 4234, "sequence_id": 336, "annotations": []}
{"role": "volunteer", "content": "OK, you see the red dot there?", "session_id": 4234, "sequence_id": 337, "annotations": []}
{"role": "student", "content": "yeah.", "session_id": 4234, "sequence_id": 338, "annotations": []}
{"role": "volunteer", "content": "Is that good", "session_id": 4234, "sequence_id": 339, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 4234, "sequence_id": 340, "annotations": []}
{"role": "volunteer", "content": "OK, so now we have one more, and what's that?", "session_id": 4234, "sequence_id": 341, "annotations": []}
{"role": "student", "content": "Um, you start at 0 and then go to 4 and then stays there.", "session_id": 4234, "sequence_id": 342, "annotations": []}
{"role": "volunteer", "content": "OK, so I will", "session_id": 4234, "sequence_id": 343, "annotations": []}
{"role": "volunteer", "content": "how's that", "session_id": 4234, "sequence_id": 344, "annotations": []}
{"role": "student", "content": "Yeah.", "session_id": 4234, "sequence_id": 345, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 4234, "sequence_id": 346, "annotations": []}
{"role": "volunteer", "content": "Now, suppose we wanted to make", "session_id": 4234, "sequence_id": 347, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 4234, "sequence_id": 348, "annotations": []}
{"role": "volunteer", "content": "make a square", "session_id": 4234, "sequence_id": 349, "annotations": []}
{"role": "volunteer", "content": "How, how could we change these like, you see, it looks like", "session_id": 4234, "sequence_id": 350, "annotations": []}
{"role": "volunteer", "content": "Q and S", "session_id": 4234, "sequence_id": 351, "annotations": []}
{"role": "student", "content": "Mm.", "session_id": 4234, "sequence_id": 352, "annotations": []}
{"role": "volunteer", "content": "are OK if we wanted to make a square with a side, oh no, that one,", "session_id": 4234, "sequence_id": 353, "annotations": []}
{"role": "volunteer", "content": "Well, if we wanted to make a square", "session_id": 4234, "sequence_id": 354, "annotations": []}
{"role": "volunteer", "content": "if we, since Q and S both have 4s, what will we do with the G and the P to make this thing square.", "session_id": 4234, "sequence_id": 355, "annotations": []}
{"role": "volunteer", "content": "You know, what we could change", "session_id": 4234, "sequence_id": 356, "annotations": []}
{"role": "student", "content": "Mm", "session_id": 4234, "sequence_id": 357, "annotations": []}
{"role": "student", "content": "You could", "session_id": 4234, "sequence_id": 358, "annotations": []}
{"role": "student", "content": "um,", "session_id": 4234, "sequence_id": 359, "annotations": []}
{"role": "volunteer", "content": "Well, I, I, I'll show you. I'm gonna use, um, let me pick a different, I'm gonna use like a pinkish color. It's uh, I, I think it's called Fuchsia or something, but", "session_id": 4234, "sequence_id": 360, "annotations": []}
{"role": "volunteer", "content": "I'm gonna put a dot", "session_id": 4234, "sequence_id": 361, "annotations": []}
{"role": "volunteer", "content": "right.", "session_id": 4234, "sequence_id": 362, "annotations": []}
{"role": "volunteer", "content": "there", "session_id": 4234, "sequence_id": 363, "annotations": []}
{"role": "volunteer", "content": "See that? Well, it looks kind of red, but I think it's a different color and then I'm gonna put it that", "session_id": 4234, "sequence_id": 364, "annotations": []}
{"role": "volunteer", "content": "right there. You see now they're all", "session_id": 4234, "sequence_id": 365, "annotations": []}
{"role": "volunteer", "content": "they're all poor and now I will draw some lines", "session_id": 4234, "sequence_id": 366, "annotations": []}
{"role": "volunteer", "content": "and I", "session_id": 4234, "sequence_id": 367, "annotations": []}
{"role": "volunteer", "content": "will use black", "session_id": 4234, "sequence_id": 368, "annotations": []}
{"role": "volunteer", "content": "well, I'll use uh blue for the lines.", "session_id": 4234, "sequence_id": 369, "annotations": []}
{"role": "volunteer", "content": "So", "session_id": 4234, "sequence_id": 370, "annotations": []}
{"role": "student", "content": "he couldn't you just connect it and make it a square?", "session_id": 4234, "sequence_id": 371, "annotations": []}
{"role": "volunteer", "content": "that's what I'm doing", "session_id": 4234, "sequence_id": 372, "annotations": []}
{"role": "student", "content": "Oh", "session_id": 4234, "sequence_id": 373, "annotations": []}
{"role": "volunteer", "content": "You see, but I move, I moved them so that they all have, they're all a distance for from the um", "session_id": 4234, "sequence_id": 374, "annotations": []}
{"role": "student", "content": "OK", "session_id": 4234, "sequence_id": 375, "annotations": []}
{"role": "volunteer", "content": "from the origin. Now we have a square", "session_id": 4234, "sequence_id": 376, "annotations": []}
{"role": "student", "content": "Hm, that makes sense.", "session_id": 4234, "sequence_id": 377, "annotations": []}
{"role": "volunteer", "content": "It's actually looks like a diamond, but if we", "session_id": 4234, "sequence_id": 378, "annotations": []}
{"role": "volunteer", "content": "I didn't draw it very well, but it really is a square, I think.", "session_id": 4234, "sequence_id": 379, "annotations": []}
{"role": "student", "content": "Yeah, it is", "session_id": 4234, "sequence_id": 380, "annotations": []}
{"role": "volunteer", "content": "OK. Now, let me just ask you this, this, you may not have had this in your class yet, but", "session_id": 4234, "sequence_id": 381, "annotations": []}
{"role": "volunteer", "content": "if we wanted to find the length of the side of one of these squares. Do you know how to do that?", "session_id": 4234, "sequence_id": 382, "annotations": []}
{"role": "student", "content": "Mm", "session_id": 4234, "sequence_id": 383, "annotations": []}
{"role": "volunteer", "content": "Have you heard of the Pythagorean the?", "session_id": 4234, "sequence_id": 384, "annotations": []}
{"role": "student", "content": "no", "session_id": 4234, "sequence_id": 385, "annotations": []}
{"role": "volunteer", "content": "No, OK, well, you'll have that next year.", "session_id": 4234, "sequence_id": 386, "annotations": []}
{"role": "volunteer", "content": "Have you taken geometry", "session_id": 4234, "sequence_id": 387, "annotations": []}
{"role": "student", "content": "Yeah, I'm taking geometry right now, but", "session_id": 4234, "sequence_id": 388, "annotations": []}
{"role": "student", "content": "we haven't.", "session_id": 4234, "sequence_id": 389, "annotations": []}
{"role": "volunteer", "content": "Oh, you are", "session_id": 4234, "sequence_id": 390, "annotations": []}
{"role": "volunteer", "content": "So you, so you're taking algebra 2 also, angioometry?", "session_id": 4234, "sequence_id": 391, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 4234, "sequence_id": 392, "annotations": []}
{"role": "volunteer", "content": "Wow, that's so you have two math courses", "session_id": 4234, "sequence_id": 393, "annotations": []}
{"role": "student", "content": "Yep", "session_id": 4234, "sequence_id": 394, "annotations": []}
{"role": "volunteer", "content": "My goodness, wow", "session_id": 4234, "sequence_id": 395, "annotations": []}
{"role": "volunteer", "content": "You're a busy, uh, a busy student.", "session_id": 4234, "sequence_id": 396, "annotations": []}
{"role": "volunteer", "content": "OK, well, using the Pythagorean theorem, we could find the length of the sides of this square, but you'll probably learn that in a few weeks. OK.", "session_id": 4234, "sequence_id": 397, "annotations": []}
{"role": "student", "content": "Wait, I wanna learn about it, kind of um.", "session_id": 4234, "sequence_id": 398, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 4234, "sequence_id": 399, "annotations": []}
{"role": "volunteer", "content": "OK. What, what other courses are you taking?", "session_id": 4234, "sequence_id": 400, "annotations": []}
{"role": "student", "content": "what?", "session_id": 4234, "sequence_id": 401, "annotations": []}
{"role": "volunteer", "content": "What, uh, you have geometry and algebra 2. What other courses do you, are you taking?", "session_id": 4234, "sequence_id": 402, "annotations": []}
{"role": "student", "content": "Um, I'm taking physics. Well, it's just like pre like the introductory.", "session_id": 4234, "sequence_id": 403, "annotations": []}
{"role": "volunteer", "content": "Right, right, right, yes, yes", "session_id": 4234, "sequence_id": 404, "annotations": []}
{"role": "student", "content": "and", "session_id": 4234, "sequence_id": 405, "annotations": []}
{"role": "student", "content": "well", "session_id": 4234, "sequence_id": 406, "annotations": []}
{"role": "volunteer", "content": "You must, uh, do you have an English course?", "session_id": 4234, "sequence_id": 407, "annotations": []}
{"role": "volunteer", "content": "Yes.", "session_id": 4234, "sequence_id": 408, "annotations": []}
{"role": "student", "content": "English, English is basically just writing.", "session_id": 4234, "sequence_id": 409, "annotations": []}
{"role": "volunteer", "content": "Right, he's no, yeah, yeah. OK. And about history or geography or anything like that?", "session_id": 4234, "sequence_id": 410, "annotations": []}
{"role": "student", "content": "Um, I'm doing history right now about Ancient Greece.", "session_id": 4234, "sequence_id": 411, "annotations": [{"pii_type": "LOCATION", "surrogate": "Ancient Greece", "start": 38, "end": 52}]}
{"role": "volunteer", "content": "00 OK. Well, that's interesting. OK.", "session_id": 4234, "sequence_id": 412, "annotations": []}
{"role": "volunteer", "content": "And what grade are you in", "session_id": 4234, "sequence_id": 413, "annotations": []}
{"role": "student", "content": "Seventh grade", "session_id": 4234, "sequence_id": 414, "annotations": [{"pii_type": "GRADE_LEVEL", "surrogate": "Seventh grade", "start": 0, "end": 13}]}
{"role": "volunteer", "content": "8th? OK.", "session_id": 4234, "sequence_id": 415, "annotations": []}
{"role": "student", "content": "Yeah.", "session_id": 4234, "sequence_id": 416, "annotations": []}
{"role": "volunteer", "content": "Uh, you're doing quite well. OK. All right. So what should we do next here?", "session_id": 4234, "sequence_id": 417, "annotations": []}
{"role": "volunteer", "content": "Would you like me to give you a question?", "session_id": 4234, "sequence_id": 418, "annotations": []}
{"role": "student", "content": "Wait, but um", "session_id": 4234, "sequence_id": 419, "annotations": []}
{"role": "student", "content": "wait, you said the Pythagorean theorem.", "session_id": 4234, "sequence_id": 420, "annotations": []}
{"role": "volunteer", "content": "Oh Pythagorean theorem, yeah.", "session_id": 4234, "sequence_id": 421, "annotations": []}
{"role": "volunteer", "content": "OK, well, you want me to show you the theorem there.", "session_id": 4234, "sequence_id": 422, "annotations": []}
{"role": "student", "content": "Yeah, just like, so I'm preparing so.", "session_id": 4234, "sequence_id": 423, "annotations": []}
{"role": "volunteer", "content": "OK, well, down below this, I'm gonna draw a triangle, OK?", "session_id": 4234, "sequence_id": 424, "annotations": []}
{"role": "volunteer", "content": "It's a right triangle. Do you know what that means? It means", "session_id": 4234, "sequence_id": 425, "annotations": []}
{"role": "student", "content": "yeah, you're right", "session_id": 4234, "sequence_id": 426, "annotations": []}
{"role": "volunteer", "content": "OK, one of, one of the angles is a right angle, so there's", "session_id": 4234, "sequence_id": 427, "annotations": []}
{"role": "volunteer", "content": "one side is black", "session_id": 4234, "sequence_id": 428, "annotations": []}
{"role": "volunteer", "content": "OK, now the next side if I'm, if I do this right, the next side will be red.", "session_id": 4234, "sequence_id": 429, "annotations": []}
{"role": "volunteer", "content": "OK.", "session_id": 4234, "sequence_id": 430, "annotations": []}
{"role": "volunteer", "content": "So the next side is red. I need to move that over a little bit.", "session_id": 4234, "sequence_id": 431, "annotations": []}
{"role": "volunteer", "content": "Oops, well, all right, I'm gonna try to move it again. It's not so easy to move these things.", "session_id": 4234, "sequence_id": 432, "annotations": []}
{"role": "volunteer", "content": "All right, that's pretty good. And now, the next slide I'll make uh", "session_id": 4234, "sequence_id": 433, "annotations": []}
{"role": "student", "content": "OK", "session_id": 4234, "sequence_id": 434, "annotations": []}
{"role": "volunteer", "content": "green.", "session_id": 4234, "sequence_id": 435, "annotations": []}
{"role": "volunteer", "content": "Well, no, I'll make it sort of this pink color here.", "session_id": 4234, "sequence_id": 436, "annotations": []}
{"role": "volunteer", "content": "I try this", "session_id": 4234, "sequence_id": 437, "annotations": []}
{"role": "volunteer", "content": "OK, so that's a right triangle, and do you know what we call the, the long side there, the pink side, do you know what we call that?", "session_id": 4234, "sequence_id": 438, "annotations": []}
{"role": "volunteer", "content": "We call that the hypotenuse.", "session_id": 4234, "sequence_id": 439, "annotations": []}
{"role": "volunteer", "content": "OK.", "session_id": 4234, "sequence_id": 440, "annotations": []}
{"role": "volunteer", "content": "But I'm gonna label these sides with letters, I hope.", "session_id": 4234, "sequence_id": 441, "annotations": []}
{"role": "volunteer", "content": "Let me see if I can pull that off.", "session_id": 4234, "sequence_id": 442, "annotations": []}
{"role": "volunteer", "content": "OK, so", "session_id": 4234, "sequence_id": 443, "annotations": []}
{"role": "volunteer", "content": "the bottom side is a, you see the A?", "session_id": 4234, "sequence_id": 444, "annotations": []}
{"role": "student", "content": "Yeah.", "session_id": 4234, "sequence_id": 445, "annotations": []}
{"role": "volunteer", "content": "And then", "session_id": 4234, "sequence_id": 446, "annotations": []}
{"role": "volunteer", "content": "the red side. I'll see if it'll let me do this in red.", "session_id": 4234, "sequence_id": 447, "annotations": []}
{"role": "volunteer", "content": "maybe.", "session_id": 4234, "sequence_id": 448, "annotations": []}
{"role": "volunteer", "content": "Red side is B.", "session_id": 4234, "sequence_id": 449, "annotations": []}
{"role": "volunteer", "content": "and", "session_id": 4234, "sequence_id": 450, "annotations": []}
{"role": "volunteer", "content": "the hypotenuse will call C.", "session_id": 4234, "sequence_id": 451, "annotations": []}
{"role": "volunteer", "content": "let me see if I let me do this here. OK.", "session_id": 4234, "sequence_id": 452, "annotations": []}
{"role": "volunteer", "content": "Oh, OK. Well, the sea came out red. It's supposed to be pink, but", "session_id": 4234, "sequence_id": 453, "annotations": []}
{"role": "volunteer", "content": "came out red. OK, so now", "session_id": 4234, "sequence_id": 454, "annotations": []}
{"role": "volunteer", "content": "um,", "session_id": 4234, "sequence_id": 455, "annotations": []}
{"role": "volunteer", "content": "all right, I, I, I, um, you know, right, I'm gonna type this my, my stylist is not working right now. So here's what the Pythagorean theorem says, it says that a^2.", "session_id": 4234, "sequence_id": 456, "annotations": []}
{"role": "volunteer", "content": "equals", "session_id": 4234, "sequence_id": 457, "annotations": []}
{"role": "volunteer", "content": "b^2", "session_id": 4234, "sequence_id": 458, "annotations": []}
{"role": "volunteer", "content": "oops I didn't do that right.", "session_id": 4234, "sequence_id": 459, "annotations": []}
{"role": "volunteer", "content": "You know what square means for squaring numbers?", "session_id": 4234, "sequence_id": 460, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 4234, "sequence_id": 461, "annotations": []}
{"role": "student", "content": "Yeah, isn't it like the uh powers and", "session_id": 4234, "sequence_id": 462, "annotations": []}
{"role": "student", "content": "like the power", "session_id": 4234, "sequence_id": 463, "annotations": []}
{"role": "student", "content": "or", "session_id": 4234, "sequence_id": 464, "annotations": []}
{"role": "volunteer", "content": "Right. And I wrote, I, you see that little arrow carrot thing or that means.", "session_id": 4234, "sequence_id": 465, "annotations": []}
{"role": "student", "content": "Yeah.", "session_id": 4234, "sequence_id": 466, "annotations": []}
{"role": "volunteer", "content": "OK, so that's the Pythagorean theorem. It says if we have a right triangle,", "session_id": 4234, "sequence_id": 467, "annotations": []}
{"role": "volunteer", "content": "the square of the hypotenuse, which is c squad, equals a^2 + b^2.", "session_id": 4234, "sequence_id": 468, "annotations": []}
{"role": "student", "content": "that's.", "session_id": 4234, "sequence_id": 469, "annotations": []}
{"role": "volunteer", "content": "I'll move it a little bit, OK?", "session_id": 4234, "sequence_id": 470, "annotations": []}
{"role": "volunteer", "content": "Have you ever seen that before?", "session_id": 4234, "sequence_id": 471, "annotations": []}
{"role": "student", "content": "oh like the equation.", "session_id": 4234, "sequence_id": 472, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 4234, "sequence_id": 473, "annotations": []}
{"role": "student", "content": "Um, I've seen them with numbers but not letters.", "session_id": 4234, "sequence_id": 474, "annotations": []}
{"role": "volunteer", "content": "Yeah, yeah. OK, OK.", "session_id": 4234, "sequence_id": 475, "annotations": []}
{"role": "volunteer", "content": "So, OK, well, let's just", "session_id": 4234, "sequence_id": 476, "annotations": []}
{"role": "volunteer", "content": "um", "session_id": 4234, "sequence_id": 477, "annotations": []}
{"role": "volunteer", "content": "OK. I think maybe we'll leave it at that because you haven't really had that yet, but that's yagor. Well, we can try an example, but let's, let me, let's say that um", "session_id": 4234, "sequence_id": 478, "annotations": []}
{"role": "volunteer", "content": "I will write on here, let's say, let me see if I can go on it. I mean, any, any number will work, but some of them work out nicely. Let me think if I, OK, so let's say that A equals", "session_id": 4234, "sequence_id": 479, "annotations": []}
{"role": "volunteer", "content": "4", "session_id": 4234, "sequence_id": 480, "annotations": []}
{"role": "volunteer", "content": "and B", "session_id": 4234, "sequence_id": 481, "annotations": []}
{"role": "volunteer", "content": "Let me see if I can do this here.", "session_id": 4234, "sequence_id": 482, "annotations": []}
{"role": "volunteer", "content": "Maybe it won't let me", "session_id": 4234, "sequence_id": 483, "annotations": []}
{"role": "volunteer", "content": "Let me try. OK, B", "session_id": 4234, "sequence_id": 484, "annotations": []}
{"role": "volunteer", "content": "No, it's not being cooperative here. There, there's a bug in this thing.", "session_id": 4234, "sequence_id": 485, "annotations": []}
{"role": "volunteer", "content": "See, I can move see, but I can't figure out how to move the bee.", "session_id": 4234, "sequence_id": 486, "annotations": []}
{"role": "volunteer", "content": "Oh, there we go. I, I sort of, all right.", "session_id": 4234, "sequence_id": 487, "annotations": []}
{"role": "volunteer", "content": "I'm gonna try to edit the.", "session_id": 4234, "sequence_id": 488, "annotations": []}
{"role": "volunteer", "content": "doesn't seem to like one", "session_id": 4234, "sequence_id": 489, "annotations": []}
{"role": "volunteer", "content": "All right, wait a minute, wait a minute.", "session_id": 4234, "sequence_id": 490, "annotations": []}
{"role": "volunteer", "content": "use", "session_id": 4234, "sequence_id": 491, "annotations": []}
{"role": "volunteer", "content": "I'm gonna do this", "session_id": 4234, "sequence_id": 492, "annotations": []}
{"role": "volunteer", "content": "get this right", "session_id": 4234, "sequence_id": 493, "annotations": []}
{"role": "volunteer", "content": "All right, there we go", "session_id": 4234, "sequence_id": 494, "annotations": []}
{"role": "volunteer", "content": "All right, now I'm gonna give B a value here, don't let me.", "session_id": 4234, "sequence_id": 495, "annotations": []}
{"role": "volunteer", "content": "uh let's try", "session_id": 4234, "sequence_id": 496, "annotations": []}
{"role": "volunteer", "content": "this", "session_id": 4234, "sequence_id": 497, "annotations": []}
{"role": "volunteer", "content": "All right. So B equals 3.", "session_id": 4234, "sequence_id": 498, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 4234, "sequence_id": 499, "annotations": []}
{"role": "volunteer", "content": "So now", "session_id": 4234, "sequence_id": 500, "annotations": []}
{"role": "volunteer", "content": "if, if, if A equals 4, what's a squad?", "session_id": 4234, "sequence_id": 501, "annotations": []}
{"role": "student", "content": "Oh, so 4 squared.", "session_id": 4234, "sequence_id": 502, "annotations": []}
{"role": "student", "content": "So 4 times 4", "session_id": 4234, "sequence_id": 503, "annotations": []}
{"role": "volunteer", "content": "And 4 squared is what, 16?", "session_id": 4234, "sequence_id": 504, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 4234, "sequence_id": 505, "annotations": []}
{"role": "volunteer", "content": "OK, so we have", "session_id": 4234, "sequence_id": 506, "annotations": []}
{"role": "volunteer", "content": "um 16", "session_id": 4234, "sequence_id": 507, "annotations": []}
{"role": "volunteer", "content": "plus and what's uh 3 squared?", "session_id": 4234, "sequence_id": 508, "annotations": []}
{"role": "student", "content": "plus 9", "session_id": 4234, "sequence_id": 509, "annotations": []}
{"role": "volunteer", "content": "9, and what does that equal?", "session_id": 4234, "sequence_id": 510, "annotations": []}
{"role": "student", "content": "the", "session_id": 4234, "sequence_id": 511, "annotations": []}
{"role": "student", "content": "square", "session_id": 4234, "sequence_id": 512, "annotations": []}
{"role": "volunteer", "content": "OK, but what, what is 16 + 9?", "session_id": 4234, "sequence_id": 513, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 4234, "sequence_id": 514, "annotations": []}
{"role": "student", "content": "25", "session_id": 4234, "sequence_id": 515, "annotations": []}
{"role": "student", "content": "Oh.", "session_id": 4234, "sequence_id": 516, "annotations": []}
{"role": "volunteer", "content": "OK. So that is c^2. I, I'll, I'll try to write that here in the text box.", "session_id": 4234, "sequence_id": 517, "annotations": []}
{"role": "student", "content": "c^2 is 25.", "session_id": 4234, "sequence_id": 518, "annotations": []}
{"role": "student", "content": "right?", "session_id": 4234, "sequence_id": 519, "annotations": []}
{"role": "volunteer", "content": "Right, so what do you, so what do you think C is if c^2 is 25.", "session_id": 4234, "sequence_id": 520, "annotations": []}
{"role": "student", "content": "5", "session_id": 4234, "sequence_id": 521, "annotations": []}
{"role": "volunteer", "content": "Yes, that's right. So that's a sort of famous triangle, 345 right triangle.", "session_id": 4234, "sequence_id": 522, "annotations": []}
{"role": "student", "content": "That's, that's actually easier than I", "session_id": 4234, "sequence_id": 523, "annotations": []}
{"role": "student", "content": "thought, I thought that", "session_id": 4234, "sequence_id": 524, "annotations": []}
{"role": "volunteer", "content": "Well, that's good", "session_id": 4234, "sequence_id": 525, "annotations": []}
{"role": "student", "content": "it.", "session_id": 4234, "sequence_id": 526, "annotations": []}
{"role": "student", "content": "kind of hard", "session_id": 4234, "sequence_id": 527, "annotations": []}
{"role": "volunteer", "content": "Yeah, it's a lot of times, you know, these things have big names, so they seem hard, but they're not, they're not as difficult as you might think.", "session_id": 4234, "sequence_id": 528, "annotations": []}
{"role": "volunteer", "content": "OK. So what would you like to do next?", "session_id": 4234, "sequence_id": 529, "annotations": []}
{"role": "student", "content": "Um, the terminology in the four quadrants.", "session_id": 4234, "sequence_id": 530, "annotations": []}
{"role": "volunteer", "content": "Terminology in the OK. Now, where do I look for, let me see if I can.", "session_id": 4234, "sequence_id": 531, "annotations": []}
{"role": "volunteer", "content": "is that", "session_id": 4234, "sequence_id": 532, "annotations": []}
{"role": "student", "content": "The bottom.", "session_id": 4234, "sequence_id": 533, "annotations": []}
{"role": "volunteer", "content": "Oh, OK, let me make a copy. I apparently, I didn't, did I not copy that?", "session_id": 4234, "sequence_id": 534, "annotations": []}
{"role": "volunteer", "content": "Oh, I see it. OK. Terminology in the 4th quadrant, OK.", "session_id": 4234, "sequence_id": 535, "annotations": []}
{"role": "student", "content": "If I explain it in my own ways, so.", "session_id": 4234, "sequence_id": 536, "annotations": []}
{"role": "volunteer", "content": "Yeah, yeah, go ahead. Yes, yes.", "session_id": 4234, "sequence_id": 537, "annotations": []}
{"role": "student", "content": "So the first member of like the ordered parrots, the abscessa.", "session_id": 4234, "sequence_id": 538, "annotations": []}
{"role": "volunteer", "content": "Yeah, that's right", "session_id": 4234, "sequence_id": 539, "annotations": []}
{"role": "student", "content": "And then the second one is The Ordinate.", "session_id": 4234, "sequence_id": 540, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 4234, "sequence_id": 541, "annotations": []}
{"role": "student", "content": "And both of them, they're referred to as coordinates of the point.", "session_id": 4234, "sequence_id": 542, "annotations": []}
{"role": "volunteer", "content": "Yes, OK", "session_id": 4234, "sequence_id": 543, "annotations": []}
{"role": "student", "content": "And", "session_id": 4234, "sequence_id": 544, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 4234, "sequence_id": 545, "annotations": []}
{"role": "student", "content": "so basically ordered pears, whose abscissae and ordinates, they're both positive cause like in sense why it's in the first quadrant because", "session_id": 4234, "sequence_id": 546, "annotations": []}
{"role": "student", "content": "it makes sense cause", "session_id": 4234, "sequence_id": 547, "annotations": []}
{"role": "volunteer", "content": "Right", "session_id": 4234, "sequence_id": 548, "annotations": []}
{"role": "student", "content": "you can look at the coordinate plane, and they're both positive.", "session_id": 4234, "sequence_id": 549, "annotations": []}
{"role": "volunteer", "content": "Right. So that's the first quadrant, OK.", "session_id": 4234, "sequence_id": 550, "annotations": []}
{"role": "student", "content": "And then the second quadrant is the abscesses are negative, while the ordinates are positive because", "session_id": 4234, "sequence_id": 551, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 4234, "sequence_id": 552, "annotations": []}
{"role": "student", "content": "you look at the corner.", "session_id": 4234, "sequence_id": 553, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 4234, "sequence_id": 554, "annotations": []}
{"role": "student", "content": "tonight", "session_id": 4234, "sequence_id": 555, "annotations": []}
{"role": "student", "content": "so", "session_id": 4234, "sequence_id": 556, "annotations": []}
{"role": "student", "content": "and then the third quadrant, it's one, both of them are negative cause", "session_id": 4234, "sequence_id": 557, "annotations": []}
{"role": "student", "content": "again you can look at the coordinate plan and it makes sense.", "session_id": 4234, "sequence_id": 558, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 4234, "sequence_id": 559, "annotations": []}
{"role": "student", "content": "And then the 4th quadrant is when the abscessa is positive and the ordinate is negative.", "session_id": 4234, "sequence_id": 560, "annotations": []}
{"role": "volunteer", "content": "Yeah, that's right", "session_id": 4234, "sequence_id": 561, "annotations": []}
{"role": "student", "content": "And then we have the", "session_id": 4234, "sequence_id": 562, "annotations": []}
{"role": "volunteer", "content": "And", "session_id": 4234, "sequence_id": 563, "annotations": []}
{"role": "student", "content": "and why", "session_id": 4234, "sequence_id": 564, "annotations": []}
{"role": "student", "content": "axis", "session_id": 4234, "sequence_id": 565, "annotations": []}
{"role": "student", "content": "which are.", "session_id": 4234, "sequence_id": 566, "annotations": []}
{"role": "volunteer", "content": "oh", "session_id": 4234, "sequence_id": 567, "annotations": []}
{"role": "volunteer", "content": "yes, that's, that's a good point. The axes don't belong to any of these quadrants. That's right.", "session_id": 4234, "sequence_id": 568, "annotations": []}
{"role": "volunteer", "content": "There's some name for that in trigonometry, but I can't remember, but yes, because they're on the borderline.", "session_id": 4234, "sequence_id": 569, "annotations": []}
{"role": "student", "content": "Um", "session_id": 4234, "sequence_id": 570, "annotations": []}
{"role": "student", "content": "oh, there's an activity on the next page. Let me just send that.", "session_id": 4234, "sequence_id": 571, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 4234, "sequence_id": 572, "annotations": []}
{"role": "volunteer", "content": "this.", "session_id": 4234, "sequence_id": 573, "annotations": []}
{"role": "student", "content": "I think I've had you as my tutor before.", "session_id": 4234, "sequence_id": 574, "annotations": []}
{"role": "volunteer", "content": "um", "session_id": 4234, "sequence_id": 575, "annotations": []}
{"role": "volunteer", "content": "that's possible, although my records, let me check through, I have a spreadsheet here. I don't, I'll see if I can find your name.", "session_id": 4234, "sequence_id": 576, "annotations": []}
{"role": "volunteer", "content": "November 18th", "session_id": 4234, "sequence_id": 577, "annotations": []}
{"role": "volunteer", "content": "dividing numbers with scientific notation.", "session_id": 4234, "sequence_id": 578, "annotations": []}
{"role": "volunteer", "content": "Yeah.", "session_id": 4234, "sequence_id": 579, "annotations": []}
{"role": "student", "content": "Yeah, I remember.", "session_id": 4234, "sequence_id": 580, "annotations": []}
{"role": "volunteer", "content": "that's good", "session_id": 4234, "sequence_id": 581, "annotations": []}
{"role": "volunteer", "content": "I didn't remember, but you're on my sheet. I've done, I've, I've almost five hundred sessions. I'm getting close.", "session_id": 4234, "sequence_id": 582, "annotations": []}
{"role": "student", "content": "That's a lot.", "session_id": 4234, "sequence_id": 583, "annotations": []}
{"role": "volunteer", "content": "Well, I started in the", "session_id": 4234, "sequence_id": 584, "annotations": []}
{"role": "volunteer", "content": "I started about 6 years ago.", "session_id": 4234, "sequence_id": 585, "annotations": []}
{"role": "student", "content": "Oh", "session_id": 4234, "sequence_id": 586, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 4234, "sequence_id": 587, "annotations": []}
{"role": "volunteer", "content": "When I started, there were hardly anybody on", "session_id": 4234, "sequence_id": 588, "annotations": []}
{"role": "volunteer", "content": "Sarah actually", "session_id": 4234, "sequence_id": 589, "annotations": [{"pii_type": "PERSON", "surrogate": "Sarah", "start": 0, "end": 5}]}
{"role": "student", "content": "Should I try to explain the example?", "session_id": 4234, "sequence_id": 590, "annotations": []}
{"role": "student", "content": "Oh", "session_id": 4234, "sequence_id": 591, "annotations": []}
{"role": "volunteer", "content": "Uh, yeah, well, let me see if I can find it first with, did you upload it?", "session_id": 4234, "sequence_id": 592, "annotations": []}
{"role": "student", "content": "yeah, it's", "session_id": 4234, "sequence_id": 593, "annotations": []}
{"role": "student", "content": "uh", "session_id": 4234, "sequence_id": 594, "annotations": []}
{"role": "volunteer", "content": "Uh, is this example two?", "session_id": 4234, "sequence_id": 595, "annotations": []}
{"role": "student", "content": "yes", "session_id": 4234, "sequence_id": 596, "annotations": []}
{"role": "volunteer", "content": "OK, let me, let me move things around so I can see it, OK.", "session_id": 4234, "sequence_id": 597, "annotations": []}
{"role": "volunteer", "content": "All right. I'm going to um", "session_id": 4234, "sequence_id": 598, "annotations": []}
{"role": "volunteer", "content": "I'm gonna take a screenshot and then I put it on my other monitor so it's bigger. So let me just do that.", "session_id": 4234, "sequence_id": 599, "annotations": []}
{"role": "volunteer", "content": "That way I can magnify it.", "session_id": 4234, "sequence_id": 600, "annotations": []}
{"role": "volunteer", "content": "OK, so we've got that and I will look at it here.", "session_id": 4234, "sequence_id": 601, "annotations": []}
{"role": "volunteer", "content": "you see", "session_id": 4234, "sequence_id": 602, "annotations": []}
{"role": "volunteer", "content": "OK, I've got it I'm just gonna make it bigger so I can read it better.", "session_id": 4234, "sequence_id": 603, "annotations": []}
{"role": "volunteer", "content": "Let's zoom in.", "session_id": 4234, "sequence_id": 604, "annotations": []}
{"role": "volunteer", "content": "%", "session_id": 4234, "sequence_id": 605, "annotations": []}
{"role": "volunteer", "content": "All right, that's good. OK. So, yes, why don't you explain it and I'll see what you have to say here.", "session_id": 4234, "sequence_id": 606, "annotations": []}
{"role": "student", "content": "OK. So, what I like to do is I like to make a table because", "session_id": 4234, "sequence_id": 607, "annotations": []}
{"role": "student", "content": "it's more clear", "session_id": 4234, "sequence_id": 608, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 4234, "sequence_id": 609, "annotations": []}
{"role": "student", "content": "So I do points and then I write the obsesses", "session_id": 4234, "sequence_id": 610, "annotations": []}
{"role": "student", "content": "like.", "session_id": 4234, "sequence_id": 611, "annotations": []}
{"role": "volunteer", "content": "OK.", "session_id": 4234, "sequence_id": 612, "annotations": []}
{"role": "student", "content": "coordinates", "session_id": 4234, "sequence_id": 613, "annotations": []}
{"role": "student", "content": "and then the quadrant, it belongs to.", "session_id": 4234, "sequence_id": 614, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 4234, "sequence_id": 615, "annotations": []}
{"role": "student", "content": "And then", "session_id": 4234, "sequence_id": 616, "annotations": []}
{"role": "student", "content": "the first", "session_id": 4234, "sequence_id": 617, "annotations": []}
{"role": "student", "content": "OK, I'll write all the points, 3.", "session_id": 4234, "sequence_id": 618, "annotations": []}
{"role": "student", "content": "and 2A, which and then", "session_id": 4234, "sequence_id": 619, "annotations": []}
{"role": "student", "content": "B", "session_id": 4234, "sequence_id": 620, "annotations": []}
{"role": "student", "content": "and you have 2 and 0.", "session_id": 4234, "sequence_id": 621, "annotations": []}
{"role": "volunteer", "content": "OK, OK", "session_id": 4234, "sequence_id": 622, "annotations": []}
{"role": "student", "content": "E", "session_id": 4234, "sequence_id": 623, "annotations": []}
{"role": "student", "content": "4 and -2", "session_id": 4234, "sequence_id": 624, "annotations": []}
{"role": "student", "content": "Wait, oh, I think I have to make it smaller.", "session_id": 4234, "sequence_id": 625, "annotations": []}
{"role": "student", "content": "0 and 3", "session_id": 4234, "sequence_id": 626, "annotations": []}
{"role": "student", "content": "Excuse", "session_id": 4234, "sequence_id": 627, "annotations": []}
{"role": "student", "content": "And then the abscess stuff for point A is -3", "session_id": 4234, "sequence_id": 628, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 4234, "sequence_id": 629, "annotations": []}
{"role": "student", "content": "Yep.", "session_id": 4234, "sequence_id": 630, "annotations": []}
{"role": "student", "content": "for point B is -2.", "session_id": 4234, "sequence_id": 631, "annotations": []}
{"role": "student", "content": "The obsessive for point C is for the abscessa 4 point D is 0.", "session_id": 4234, "sequence_id": 632, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 4234, "sequence_id": 633, "annotations": []}
{"role": "student", "content": "And then the ordinate 4. A is", "session_id": 4234, "sequence_id": 634, "annotations": []}
{"role": "volunteer", "content": "Yeah.", "session_id": 4234, "sequence_id": 635, "annotations": []}
{"role": "student", "content": "still theorate for", "session_id": 4234, "sequence_id": 636, "annotations": []}
{"role": "student", "content": "2 and then negative.", "session_id": 4234, "sequence_id": 637, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 4234, "sequence_id": 638, "annotations": []}
{"role": "student", "content": "OK, now", "session_id": 4234, "sequence_id": 639, "annotations": []}
{"role": "student", "content": "um", "session_id": 4234, "sequence_id": 640, "annotations": []}
{"role": "student", "content": "it's not really necessary to write the", "session_id": 4234, "sequence_id": 641, "annotations": []}
{"role": "student", "content": "coordinate plane", "session_id": 4234, "sequence_id": 642, "annotations": []}
{"role": "student", "content": "if you know it", "session_id": 4234, "sequence_id": 643, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 4234, "sequence_id": 644, "annotations": []}
{"role": "student", "content": "it.", "session_id": 4234, "sequence_id": 645, "annotations": []}
{"role": "student", "content": "So I like to think in my head.", "session_id": 4234, "sequence_id": 646, "annotations": []}
{"role": "student", "content": "that I have a coordinate plane, so I don't really like waste my time on doing that.", "session_id": 4234, "sequence_id": 647, "annotations": []}
{"role": "volunteer", "content": "OK, OK.", "session_id": 4234, "sequence_id": 648, "annotations": []}
{"role": "student", "content": "And then um", "session_id": 4234, "sequence_id": 649, "annotations": []}
{"role": "student", "content": "so I see that the", "session_id": 4234, "sequence_id": 650, "annotations": []}
{"role": "student", "content": "negative 3 is to be left.", "session_id": 4234, "sequence_id": 651, "annotations": []}
{"role": "student", "content": "and then it's going up. So that's the 2nd quadrant.", "session_id": 4234, "sequence_id": 652, "annotations": []}
{"role": "volunteer", "content": "Yeah, I agree. OK.", "session_id": 4234, "sequence_id": 653, "annotations": []}
{"role": "student", "content": "And then", "session_id": 4234, "sequence_id": 654, "annotations": []}
{"role": "student", "content": "we have -2 to the left and then it stays there, so", "session_id": 4234, "sequence_id": 655, "annotations": []}
{"role": "student", "content": "that's the X-axis.", "session_id": 4234, "sequence_id": 656, "annotations": []}
{"role": "volunteer", "content": "That's right, yeah", "session_id": 4234, "sequence_id": 657, "annotations": []}
{"role": "student", "content": "And then, yeah, 4 to the right and then go down.", "session_id": 4234, "sequence_id": 658, "annotations": []}
{"role": "student", "content": "which is the", "session_id": 4234, "sequence_id": 659, "annotations": []}
{"role": "student", "content": "um quadrant.", "session_id": 4234, "sequence_id": 660, "annotations": []}
{"role": "student", "content": "or.", "session_id": 4234, "sequence_id": 661, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 4234, "sequence_id": 662, "annotations": []}
{"role": "student", "content": "and then", "session_id": 4234, "sequence_id": 663, "annotations": []}
{"role": "student", "content": "we start at 0 and go down to -3, which is the y-axis.", "session_id": 4234, "sequence_id": 664, "annotations": []}
{"role": "volunteer", "content": "Yeah, OK", "session_id": 4234, "sequence_id": 665, "annotations": []}
{"role": "volunteer", "content": "OK. Now, 11 thing you should uh I mean, you did fine. You should just keep in mind that the quadrant names are usually given in", "session_id": 4234, "sequence_id": 666, "annotations": []}
{"role": "student", "content": "I did", "session_id": 4234, "sequence_id": 667, "annotations": []}
{"role": "volunteer", "content": "uh Roman numerals. You see them here? So like", "session_id": 4234, "sequence_id": 668, "annotations": []}
{"role": "student", "content": "you know", "session_id": 4234, "sequence_id": 669, "annotations": []}
{"role": "student", "content": "knows", "session_id": 4234, "sequence_id": 670, "annotations": []}
{"role": "volunteer", "content": "I'm sorry, say that again", "session_id": 4234, "sequence_id": 671, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 4234, "sequence_id": 672, "annotations": []}
{"role": "volunteer", "content": "I, I missed what you said, but, but I think you see that it's just", "session_id": 4234, "sequence_id": 673, "annotations": []}
{"role": "volunteer", "content": "um,", "session_id": 4234, "sequence_id": 674, "annotations": []}
{"role": "student", "content": "uh", "session_id": 4234, "sequence_id": 675, "annotations": []}
{"role": "student", "content": "like.", "session_id": 4234, "sequence_id": 676, "annotations": []}
{"role": "volunteer", "content": "I guess you could, you could write 4 F O U R T H, but they, they always seem to use Roman numerals for the quadrants.", "session_id": 4234, "sequence_id": 677, "annotations": []}
{"role": "student", "content": "it kicked me out for some reason.", "session_id": 4234, "sequence_id": 678, "annotations": []}
{"role": "volunteer", "content": "It does what", "session_id": 4234, "sequence_id": 679, "annotations": []}
{"role": "student", "content": "It kicked me out for some reason.", "session_id": 4234, "sequence_id": 680, "annotations": []}
{"role": "volunteer", "content": "It kicked you out? Oh.", "session_id": 4234, "sequence_id": 681, "annotations": []}
{"role": "volunteer", "content": "Oh, I don't know why. Maybe the battery is low on your computer or something.", "session_id": 4234, "sequence_id": 682, "annotations": []}
{"role": "student", "content": "I don't know.", "session_id": 4234, "sequence_id": 683, "annotations": []}
{"role": "volunteer", "content": "Or maybe you, maybe, maybe there's a time limit. I don't know.", "session_id": 4234, "sequence_id": 684, "annotations": []}
{"role": "student", "content": "Oh really", "session_id": 4234, "sequence_id": 685, "annotations": []}
{"role": "volunteer", "content": "I, I, no, no, no. Uchie doesn't have one, but maybe the something else does, I don't know.", "session_id": 4234, "sequence_id": 686, "annotations": []}
{"role": "student", "content": "I think I missed accidentally clicked something.", "session_id": 4234, "sequence_id": 687, "annotations": []}
{"role": "student", "content": "Oh OK", "session_id": 4234, "sequence_id": 688, "annotations": []}
{"role": "volunteer", "content": "Oh maybe, maybe. But I, but I have to go pretty soon, so is there some something you'd like to do uh", "session_id": 4234, "sequence_id": 689, "annotations": []}
{"role": "volunteer", "content": "for a final exercise.", "session_id": 4234, "sequence_id": 690, "annotations": []}
{"role": "student", "content": "Uh hm", "session_id": 4234, "sequence_id": 691, "annotations": []}
{"role": "student", "content": "No, I think it's fine. If you have to go like it's.", "session_id": 4234, "sequence_id": 692, "annotations": []}
{"role": "student", "content": "OK", "session_id": 4234, "sequence_id": 693, "annotations": []}
{"role": "volunteer", "content": "OK. All right. I have to clean up this room, otherwise my wife will be very upset, so, so I better go. OK.", "session_id": 4234, "sequence_id": 694, "annotations": []}
{"role": "student", "content": "Yeah.", "session_id": 4234, "sequence_id": 695, "annotations": []}
{"role": "volunteer", "content": "All right, well", "session_id": 4234, "sequence_id": 696, "annotations": []}
{"role": "volunteer", "content": "yeah, you have a good day too. It's nice to see you again, maybe, or, you know, see you speaking loosely. Maybe I'll see you again. You seem to be doing very well. I'm quite, uh", "session_id": 4234, "sequence_id": 697, "annotations": []}
{"role": "volunteer", "content": "I, I would say you're doing fine. uh", "session_id": 4234, "sequence_id": 698, "annotations": []}
{"role": "volunteer", "content": "and also when you get to the Pythagorean theorem, you'll know that you've already seen it.", "session_id": 4234, "sequence_id": 699, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 4234, "sequence_id": 700, "annotations": []}
{"role": "student", "content": "and I can", "session_id": 4234, "sequence_id": 701, "annotations": []}
{"role": "volunteer", "content": "It also, you, you could look on the web. I mean, if you search for Pythagorean theorem, I'm sure you'll find many, many examples of it on the internet.", "session_id": 4234, "sequence_id": 702, "annotations": []}
{"role": "student", "content": "yeah, now I'm gonna like impress my teacher by already knowing it.", "session_id": 4234, "sequence_id": 703, "annotations": []}
{"role": "volunteer", "content": "Yeah, OK, that's Pythagorean, that's PY T H A G O R E A N, Pythagorean. OK.", "session_id": 4234, "sequence_id": 704, "annotations": []}
{"role": "volunteer", "content": "Uh, but if you misspell it, um, the, the, the internet will probably fix it anyway.", "session_id": 4234, "sequence_id": 705, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 4234, "sequence_id": 706, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 4234, "sequence_id": 707, "annotations": []}
{"role": "student", "content": "and yeah", "session_id": 4234, "sequence_id": 708, "annotations": []}
{"role": "volunteer", "content": "All right. Well, I hope to see you again and, and, and good luck.", "session_id": 4234, "sequence_id": 709, "annotations": []}
{"role": "student", "content": "Thank you. Have a good day.", "session_id": 4234, "sequence_id": 710, "annotations": []}
{"role": "volunteer", "content": "You too. Bye-bye", "session_id": 4234, "sequence_id": 711, "annotations": []}
{"role": "student", "content": "Bye", "session_id": 4234, "sequence_id": 712, "annotations": []}
{"role": "volunteer", "content": "Bye", "session_id": 4234, "sequence_id": 713, "annotations": []}
{"role": "student", "content": "Well you not letting me know.", "session_id": 4234, "sequence_id": 714, "annotations": []}
{"role": "student", "content": "hi!", "session_id": 4307, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "hello??", "session_id": 4307, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "Hello, what do you need help with today?", "session_id": 4307, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "this!", "session_id": 4307, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "Okay, what do you know about the problem first?", "session_id": 4307, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "um ik the circle standard formula", "session_id": 4307, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "Thats good, ill write it out", "session_id": 4307, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "So the problems says that the C can be written as kpi", "session_id": 4307, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "meaning that we need to find 2(r)", "session_id": 4307, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "no lets look at the circle and I want you to kind of draw a circle that goes through those points", "session_id": 4307, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "because we need to find the radius", "session_id": 4307, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "can we use mic?", "session_id": 4307, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "I cannot use mic at the moment", "session_id": 4307, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "I apologize", "session_id": 4307, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "oh ok can i", "session_id": 4307, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "Sure", "session_id": 4307, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "So I don't really understand what we're supposed to do first, so now I know some conferences are, but um, you said that we need to draw a circle that goes to these points.", "session_id": 4307, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "So.", "session_id": 4307, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "Yes thats good", "session_id": 4307, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "Okay so do you know what the radius of a circle is?", "session_id": 4307, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "Yeah, so a radius is halfway through the circle.", "session_id": 4307, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "How many units is that?", "session_id": 4307, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "Let me see some.", "session_id": 4307, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "8 is the diameter, so the radius is 4.", "session_id": 4307, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "Yup thats good", "session_id": 4307, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "So to find this some conference we would just do 2 pie.", "session_id": 4307, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "4", "session_id": 4307, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "There was some conference of the circle is pi.", "session_id": 4307, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "It's the value of k", "session_id": 4307, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "OK, is that good?", "session_id": 4307, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "Yes so now that you have 2pi(4)", "session_id": 4307, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "U can multiply 2 and 4 together", "session_id": 4307, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "so itll be 8pi", "session_id": 4307, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "And we would have 8 pie.", "session_id": 4307, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 4307, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "and that means the value of KS 8.", "session_id": 4307, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "yup", "session_id": 4307, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 4307, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "Thank you. I have more questions.", "session_id": 4307, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "Okay send them over", "session_id": 4307, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "OK, so we has to be the 90 degree one. Since there's 90 degrees, does that mean that this is a right triangle and the hypottenus has to be the longest side.", "session_id": 4307, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "Yes thats true", "session_id": 4307, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "Or does this not have to be a right triangle.", "session_id": 4307, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "If B is a 90 deg angle then yes it is a right triangle", "session_id": 4307, "sequence_id": 43, "annotations": []}
{"role": "student", "content": "OK, so now I'm confused if A is the hypotenuse or C is.", "session_id": 4307, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "or like what's a pup for it.", "session_id": 4307, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "What is the questions asking?", "session_id": 4307, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "The questions asking what's the value of k, so I have to figure that out, but first we have to put our angle A and angle C somewhere, right? Or no?", "session_id": 4307, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 4307, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "does it give you angle A or C", "session_id": 4307, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "?", "session_id": 4307, "sequence_id": 50, "annotations": []}
{"role": "student", "content": "Yeah, so Angle A is 54 and Angle C is K over 2.", "session_id": 4307, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "Ohh I see", "session_id": 4307, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "Okay so lets say '", "session_id": 4307, "sequence_id": 53, "annotations": []}
{"role": "student", "content": "Here I made the question beggar.", "session_id": 4307, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "Okay so remember all triangles", "session_id": 4307, "sequence_id": 55, "annotations": []}
{"role": "student", "content": "Oh wait, I understand.", "session_id": 4307, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "their angles have to add up to 180", "session_id": 4307, "sequence_id": 57, "annotations": []}
{"role": "student", "content": "It doesn't matter because it's sight, not side linked, this angle, so it doesn't matter where we put them.", "session_id": 4307, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 4307, "sequence_id": 59, "annotations": []}
{"role": "student", "content": "OK, so this one would be", "session_id": 4307, "sequence_id": 60, "annotations": []}
{"role": "student", "content": "K", "session_id": 4307, "sequence_id": 61, "annotations": []}
{"role": "student", "content": "over 2.", "session_id": 4307, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "So you can make an equation", "session_id": 4307, "sequence_id": 63, "annotations": []}
{"role": "student", "content": "So then we would have to find the value of K, so couldn't we do 90 + 54 minus 180.", "session_id": 4307, "sequence_id": 64, "annotations": []}
{"role": "student", "content": "180 minus 54.", "session_id": 4307, "sequence_id": 65, "annotations": []}
{"role": "student", "content": "So then we can do 36 times 2.", "session_id": 4307, "sequence_id": 66, "annotations": []}
{"role": "student", "content": "or whatever", "session_id": 4307, "sequence_id": 67, "annotations": []}
{"role": "student", "content": "And our final answer would be 72.", "session_id": 4307, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "Yup thats correct", "session_id": 4307, "sequence_id": 69, "annotations": []}
{"role": "student", "content": "Really, I just guessed, but I'm happy it's correct.", "session_id": 4307, "sequence_id": 70, "annotations": []}
{"role": "student", "content": "I wasn't sure the method, so I just used my gut feeling.", "session_id": 4307, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "Thats correct", "session_id": 4307, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "all angles add up to 180 so u do", "session_id": 4307, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "90 + 54 + (k/2) = 180 and just solve for k", "session_id": 4307, "sequence_id": 74, "annotations": []}
{"role": "student", "content": "is it like this?", "session_id": 4307, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "Close but not quite there let me draw it for you", "session_id": 4307, "sequence_id": 76, "annotations": []}
{"role": "student", "content": "alright!", "session_id": 4307, "sequence_id": 77, "annotations": []}
{"role": "student", "content": "?", "session_id": 4307, "sequence_id": 78, "annotations": []}
{"role": "student", "content": "whatstht", "session_id": 4307, "sequence_id": 79, "annotations": []}
{"role": "student", "content": "that", "session_id": 4307, "sequence_id": 80, "annotations": []}
{"role": "volunteer", "content": "Its honestly a bit weird that they put BD as the altitude", "session_id": 4307, "sequence_id": 81, "annotations": []}
{"role": "volunteer", "content": "ut", "session_id": 4307, "sequence_id": 82, "annotations": []}
{"role": "volunteer", "content": "but", "session_id": 4307, "sequence_id": 83, "annotations": []}
{"role": "volunteer", "content": "just know that BD is the height", "session_id": 4307, "sequence_id": 84, "annotations": []}
{"role": "student", "content": "where's d", "session_id": 4307, "sequence_id": 85, "annotations": []}
{"role": "student", "content": "oh but then where do we see it", "session_id": 4307, "sequence_id": 86, "annotations": []}
{"role": "student", "content": "on the triangle", "session_id": 4307, "sequence_id": 87, "annotations": []}
{"role": "student", "content": "or we don't?", "session_id": 4307, "sequence_id": 88, "annotations": []}
{"role": "volunteer", "content": "I don't think we need it", "session_id": 4307, "sequence_id": 89, "annotations": []}
{"role": "student", "content": "how would we find bc nd bd", "session_id": 4307, "sequence_id": 90, "annotations": []}
{"role": "volunteer", "content": "Give me a second", "session_id": 4307, "sequence_id": 91, "annotations": []}
{"role": "volunteer", "content": "Okay nevermind I figured it out", "session_id": 4307, "sequence_id": 92, "annotations": []}
{"role": "volunteer", "content": "You need to use the altitude theorem", "session_id": 4307, "sequence_id": 93, "annotations": []}
{"role": "student", "content": "oh no", "session_id": 4307, "sequence_id": 94, "annotations": []}
{"role": "volunteer", "content": "So BD = leg(other leg) / hypotenuse", "session_id": 4307, "sequence_id": 95, "annotations": []}
{"role": "student", "content": "oh that's not bad", "session_id": 4307, "sequence_id": 96, "annotations": []}
{"role": "volunteer", "content": "let me redraw it I drew it wrong at first my bad", "session_id": 4307, "sequence_id": 97, "annotations": []}
{"role": "student", "content": "np!", "session_id": 4307, "sequence_id": 98, "annotations": []}
{"role": "student", "content": "where is c", "session_id": 4307, "sequence_id": 99, "annotations": []}
{"role": "student", "content": "why is it inside", "session_id": 4307, "sequence_id": 100, "annotations": []}
{"role": "volunteer", "content": "abc is the angles", "session_id": 4307, "sequence_id": 101, "annotations": []}
{"role": "student", "content": "oh so we know angle b but not a and c", "session_id": 4307, "sequence_id": 102, "annotations": []}
{"role": "student", "content": "so were solving for angle?", "session_id": 4307, "sequence_id": 103, "annotations": []}
{"role": "volunteer", "content": "Give me a second, the wording of this problem is very confusing", "session_id": 4307, "sequence_id": 104, "annotations": []}
{"role": "volunteer", "content": "did i not come with a photo?", "session_id": 4307, "sequence_id": 105, "annotations": []}
{"role": "student", "content": "huh", "session_id": 4307, "sequence_id": 106, "annotations": []}
{"role": "volunteer", "content": "did the problem not come with a drawing?", "session_id": 4307, "sequence_id": 107, "annotations": []}
{"role": "student", "content": "no but there is a explanation", "session_id": 4307, "sequence_id": 108, "annotations": []}
{"role": "volunteer", "content": "Ok i understand it now just let me write out the work", "session_id": 4307, "sequence_id": 109, "annotations": []}
{"role": "volunteer", "content": "Okay yeah so u need the altitude postulate", "session_id": 4307, "sequence_id": 110, "annotations": []}
{"role": "volunteer", "content": "BD = Leg (other leg) / hypotenuse", "session_id": 4307, "sequence_id": 111, "annotations": []}
{"role": "volunteer", "content": "it says that AC is 23 greater then AB", "session_id": 4307, "sequence_id": 112, "annotations": []}
{"role": "volunteer", "content": "so 15 + 23 = 38", "session_id": 4307, "sequence_id": 113, "annotations": []}
{"role": "volunteer", "content": "now you have to rearrange that postulate in order to get BC/BD", "session_id": 4307, "sequence_id": 114, "annotations": []}
{"role": "volunteer", "content": "its some algebra manipulation do u understand?", "session_id": 4307, "sequence_id": 115, "annotations": []}
{"role": "volunteer", "content": "U first need to cross multiply", "session_id": 4307, "sequence_id": 116, "annotations": []}
{"role": "volunteer", "content": "So its BD(AC) = AB(BC)", "session_id": 4307, "sequence_id": 117, "annotations": []}
{"role": "volunteer", "content": "Then u divide by BD on both sides and its", "session_id": 4307, "sequence_id": 118, "annotations": []}
{"role": "volunteer", "content": "AC = AB(BC)/BD", "session_id": 4307, "sequence_id": 119, "annotations": []}
{"role": "volunteer", "content": "and u want just BC/BD", "session_id": 4307, "sequence_id": 120, "annotations": []}
{"role": "volunteer", "content": "so you divide by AB on both sides", "session_id": 4307, "sequence_id": 121, "annotations": []}
{"role": "volunteer", "content": "and BC/BD = AC/AB", "session_id": 4307, "sequence_id": 122, "annotations": []}
{"role": "volunteer", "content": "do you kinda understand?", "session_id": 4307, "sequence_id": 123, "annotations": []}
{"role": "student", "content": "great ill write it out", "session_id": 4307, "sequence_id": 124, "annotations": []}
{"role": "volunteer", "content": "the worrding of the problem is a bit confusing I apologize", "session_id": 4307, "sequence_id": 125, "annotations": []}
{"role": "student", "content": "OK, so I'm kind of confused. What do I fill in now for like", "session_id": 4307, "sequence_id": 126, "annotations": []}
{"role": "student", "content": "this looks like, but this is VD and um what do I feel for the leg leg hypotenuse.", "session_id": 4307, "sequence_id": 127, "annotations": []}
{"role": "volunteer", "content": "Okay so one leg is AB and one leg is BC", "session_id": 4307, "sequence_id": 128, "annotations": []}
{"role": "volunteer", "content": "as u can see in the drawing", "session_id": 4307, "sequence_id": 129, "annotations": []}
{"role": "student", "content": "One leg is AB and the other leg is PC.", "session_id": 4307, "sequence_id": 130, "annotations": []}
{"role": "volunteer", "content": "yeah", "session_id": 4307, "sequence_id": 131, "annotations": []}
{"role": "student", "content": "Yeah, cause we can't use the AC cause that's a hypotenus, so", "session_id": 4307, "sequence_id": 132, "annotations": []}
{"role": "student", "content": "a B.", "session_id": 4307, "sequence_id": 133, "annotations": []}
{"role": "student", "content": "times BC", "session_id": 4307, "sequence_id": 134, "annotations": []}
{"role": "student", "content": "over", "session_id": 4307, "sequence_id": 135, "annotations": []}
{"role": "student", "content": "AC", "session_id": 4307, "sequence_id": 136, "annotations": []}
{"role": "student", "content": "So then we would multiply it.", "session_id": 4307, "sequence_id": 137, "annotations": []}
{"role": "student", "content": "And then what would we get?", "session_id": 4307, "sequence_id": 138, "annotations": []}
{"role": "volunteer", "content": "so u cross multiply", "session_id": 4307, "sequence_id": 139, "annotations": []}
{"role": "volunteer", "content": "do you remmeber that like cross multiplying ratios", "session_id": 4307, "sequence_id": 140, "annotations": []}
{"role": "student", "content": "Yeah, I know how to do that. So it would be BDAC.", "session_id": 4307, "sequence_id": 141, "annotations": []}
{"role": "student", "content": "and then it would just be ABBC.", "session_id": 4307, "sequence_id": 142, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 4307, "sequence_id": 143, "annotations": []}
{"role": "student", "content": "Can you write that?", "session_id": 4307, "sequence_id": 144, "annotations": []}
{"role": "student", "content": "so I can like see how to write it.", "session_id": 4307, "sequence_id": 145, "annotations": []}
{"role": "volunteer", "content": "there u go", "session_id": 4307, "sequence_id": 146, "annotations": []}
{"role": "student", "content": "Now do we distribute", "session_id": 4307, "sequence_id": 147, "annotations": []}
{"role": "volunteer", "content": "You cannot distribute because each side is like its own unit", "session_id": 4307, "sequence_id": 148, "annotations": []}
{"role": "volunteer", "content": "So remember", "session_id": 4307, "sequence_id": 149, "annotations": []}
{"role": "student", "content": "so it wouldn't just be BDAC.", "session_id": 4307, "sequence_id": 150, "annotations": []}
{"role": "volunteer", "content": "u want BC / BD", "session_id": 4307, "sequence_id": 151, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 4307, "sequence_id": 152, "annotations": []}
{"role": "student", "content": "So I would divide", "session_id": 4307, "sequence_id": 153, "annotations": []}
{"role": "student", "content": "with, I'm saying like", "session_id": 4307, "sequence_id": 154, "annotations": []}
{"role": "student", "content": "after that, would the answer be like this?", "session_id": 4307, "sequence_id": 155, "annotations": []}
{"role": "student", "content": "or no", "session_id": 4307, "sequence_id": 156, "annotations": []}
{"role": "volunteer", "content": "No you cannot do that", "session_id": 4307, "sequence_id": 157, "annotations": []}
{"role": "student", "content": "Oh, OK", "session_id": 4307, "sequence_id": 158, "annotations": []}
{"role": "volunteer", "content": "think of each side like", "session_id": 4307, "sequence_id": 159, "annotations": []}
{"role": "volunteer", "content": "its own variable", "session_id": 4307, "sequence_id": 160, "annotations": []}
{"role": "student", "content": "Yeah, you can't", "session_id": 4307, "sequence_id": 161, "annotations": []}
{"role": "student", "content": "add unlike variables.", "session_id": 4307, "sequence_id": 162, "annotations": []}
{"role": "volunteer", "content": "its like (y)(z) = (c)(a)", "session_id": 4307, "sequence_id": 163, "annotations": []}
{"role": "volunteer", "content": "if that makes sense", "session_id": 4307, "sequence_id": 164, "annotations": []}
{"role": "student", "content": "OK, so we would have to get", "session_id": 4307, "sequence_id": 165, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 4307, "sequence_id": 166, "annotations": []}
{"role": "student", "content": "what is it BC over BD cause that's what the question I asked for. So this is multiplication, so we could just divide it.", "session_id": 4307, "sequence_id": 167, "annotations": []}
{"role": "student", "content": "So we have", "session_id": 4307, "sequence_id": 168, "annotations": []}
{"role": "student", "content": "this on the other side.", "session_id": 4307, "sequence_id": 169, "annotations": []}
{"role": "student", "content": "There we go", "session_id": 4307, "sequence_id": 170, "annotations": []}
{"role": "volunteer", "content": "yup", "session_id": 4307, "sequence_id": 171, "annotations": []}
{"role": "volunteer", "content": "and know u just plug in ac and ab", "session_id": 4307, "sequence_id": 172, "annotations": []}
{"role": "student", "content": "What is the value of BC over BD, so it's just AC over AB.", "session_id": 4307, "sequence_id": 173, "annotations": []}
{"role": "student", "content": "So I would have to plug in", "session_id": 4307, "sequence_id": 174, "annotations": []}
{"role": "student", "content": "38", "session_id": 4307, "sequence_id": 175, "annotations": []}
{"role": "student", "content": "over 5", "session_id": 4307, "sequence_id": 176, "annotations": []}
{"role": "student", "content": "BC over BBC", "session_id": 4307, "sequence_id": 177, "annotations": []}
{"role": "student", "content": "um", "session_id": 4307, "sequence_id": 178, "annotations": []}
{"role": "student", "content": "I don't know what to do for.", "session_id": 4307, "sequence_id": 179, "annotations": []}
{"role": "student", "content": "BC over BD. I already found AC over AP.", "session_id": 4307, "sequence_id": 180, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 4307, "sequence_id": 181, "annotations": []}
{"role": "volunteer", "content": "thats all you need", "session_id": 4307, "sequence_id": 182, "annotations": []}
{"role": "volunteer", "content": "because the expresisn", "session_id": 4307, "sequence_id": 183, "annotations": []}
{"role": "student", "content": "Also they're the same", "session_id": 4307, "sequence_id": 184, "annotations": []}
{"role": "volunteer", "content": "is saying that they are equivalent", "session_id": 4307, "sequence_id": 185, "annotations": []}
{"role": "student", "content": "Oh wait, that's 15, not 5.", "session_id": 4307, "sequence_id": 186, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 4307, "sequence_id": 187, "annotations": []}
{"role": "volunteer", "content": "yes BC/BD = AC/AB", "session_id": 4307, "sequence_id": 188, "annotations": []}
{"role": "student", "content": "yeah, I got it.", "session_id": 4307, "sequence_id": 189, "annotations": []}
{"role": "volunteer", "content": "so BC/BD = 38/15", "session_id": 4307, "sequence_id": 190, "annotations": []}
{"role": "volunteer", "content": "any more problems?", "session_id": 4307, "sequence_id": 191, "annotations": []}
{"role": "student", "content": "one moment im writing the formula", "session_id": 4307, "sequence_id": 192, "annotations": []}
{"role": "student", "content": "ok im uploading the nect", "session_id": 4307, "sequence_id": 193, "annotations": []}
{"role": "volunteer", "content": "lets clear the board first", "session_id": 4307, "sequence_id": 194, "annotations": []}
{"role": "volunteer", "content": "please add the questions", "session_id": 4307, "sequence_id": 195, "annotations": []}
{"role": "volunteer", "content": "the answer choices", "session_id": 4307, "sequence_id": 196, "annotations": []}
{"role": "volunteer", "content": "Okay give me a second to solve it", "session_id": 4307, "sequence_id": 197, "annotations": []}
{"role": "volunteer", "content": "Okay so first", "session_id": 4307, "sequence_id": 198, "annotations": []}
{"role": "volunteer", "content": "X and Y are same-side interior angles", "session_id": 4307, "sequence_id": 199, "annotations": []}
{"role": "volunteer", "content": "have you learned that?", "session_id": 4307, "sequence_id": 200, "annotations": []}
{"role": "student", "content": "yes", "session_id": 4307, "sequence_id": 201, "annotations": []}
{"role": "student", "content": "so we set them =", "session_id": 4307, "sequence_id": 202, "annotations": []}
{"role": "volunteer", "content": "No they arent equal to each other", "session_id": 4307, "sequence_id": 203, "annotations": []}
{"role": "volunteer", "content": "They are supplementary", "session_id": 4307, "sequence_id": 204, "annotations": []}
{"role": "student", "content": "oh", "session_id": 4307, "sequence_id": 205, "annotations": []}
{"role": "volunteer", "content": "x + y = 180", "session_id": 4307, "sequence_id": 206, "annotations": []}
{"role": "student", "content": "are they coressponding", "session_id": 4307, "sequence_id": 207, "annotations": []}
{"role": "student", "content": "?", "session_id": 4307, "sequence_id": 208, "annotations": []}
{"role": "volunteer", "content": "No they are not corresponding", "session_id": 4307, "sequence_id": 209, "annotations": []}
{"role": "volunteer", "content": "Well think about it like this", "session_id": 4307, "sequence_id": 210, "annotations": []}
{"role": "volunteer", "content": "that angle across from y is equal to y", "session_id": 4307, "sequence_id": 211, "annotations": []}
{"role": "volunteer", "content": "and remember two angles create that straight line", "session_id": 4307, "sequence_id": 212, "annotations": []}
{"role": "volunteer", "content": "so y + x = 180", "session_id": 4307, "sequence_id": 213, "annotations": []}
{"role": "volunteer", "content": "Okay now you know that y < 65", "session_id": 4307, "sequence_id": 214, "annotations": []}
{"role": "volunteer", "content": "so 180 - 65 = 115 then that means", "session_id": 4307, "sequence_id": 215, "annotations": []}
{"role": "volunteer", "content": "x has to be greater than 115", "session_id": 4307, "sequence_id": 216, "annotations": []}
{"role": "volunteer", "content": "because they need to add up to 180", "session_id": 4307, "sequence_id": 217, "annotations": []}
{"role": "volunteer", "content": "do you understand", "session_id": 4307, "sequence_id": 218, "annotations": []}
{"role": "student", "content": "OK, I learned this before, but I learned it when it gave us one number, so it would give us like a number and we would subtract it from 180 to get like the answer.", "session_id": 4307, "sequence_id": 219, "annotations": []}
{"role": "student", "content": "and then we would use the theorems to find out which one is which, but this one, it doesn't give us like any angle.", "session_id": 4307, "sequence_id": 220, "annotations": []}
{"role": "volunteer", "content": "is it okay if i talk on the mic?", "session_id": 4307, "sequence_id": 221, "annotations": []}
{"role": "student", "content": "Yeah, of course", "session_id": 4307, "sequence_id": 222, "annotations": []}
{"role": "volunteer", "content": "Hello, can you hear", "session_id": 4307, "sequence_id": 223, "annotations": []}
{"role": "volunteer", "content": "Can you hear me", "session_id": 4307, "sequence_id": 224, "annotations": []}
{"role": "student", "content": "yes", "session_id": 4307, "sequence_id": 225, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 4307, "sequence_id": 226, "annotations": []}
{"role": "volunteer", "content": "OK, so basically, the 65 is the angle that's given.", "session_id": 4307, "sequence_id": 227, "annotations": []}
{"role": "student", "content": "Oh, OK", "session_id": 4307, "sequence_id": 228, "annotations": []}
{"role": "volunteer", "content": "So if Y", "session_id": 4307, "sequence_id": 229, "annotations": []}
{"role": "student", "content": "But that says it's less than 65.", "session_id": 4307, "sequence_id": 230, "annotations": []}
{"role": "volunteer", "content": "yeah, it's less than the stress, so it's kind of like a weird um", "session_id": 4307, "sequence_id": 231, "annotations": []}
{"role": "volunteer", "content": "concept that you need to learn. So", "session_id": 4307, "sequence_id": 232, "annotations": []}
{"role": "volunteer", "content": "basically, uh, if you know that X and Y need to equal 180.", "session_id": 4307, "sequence_id": 233, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 4307, "sequence_id": 234, "annotations": []}
{"role": "volunteer", "content": "We're gonna pretend, we're gonna pretend that like, say why is equal to 65.", "session_id": 4307, "sequence_id": 235, "annotations": []}
{"role": "volunteer", "content": "All right, we're gonna pretend. So X is gonna be equal to 180.", "session_id": 4307, "sequence_id": 236, "annotations": []}
{"role": "volunteer", "content": "minus 65", "session_id": 4307, "sequence_id": 237, "annotations": []}
{"role": "volunteer", "content": "So X is gonna have to be equal to 115, right?", "session_id": 4307, "sequence_id": 238, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 4307, "sequence_id": 239, "annotations": []}
{"role": "volunteer", "content": "But um", "session_id": 4307, "sequence_id": 240, "annotations": []}
{"role": "volunteer", "content": "says it's not actually good to 65. You know that it's gonna be all the numbers less than 65, you kinda", "session_id": 4307, "sequence_id": 241, "annotations": []}
{"role": "volunteer", "content": "you, do you understand that", "session_id": 4307, "sequence_id": 242, "annotations": []}
{"role": "student", "content": "Yeah, no, that makes sense.", "session_id": 4307, "sequence_id": 243, "annotations": []}
{"role": "volunteer", "content": "And if you, so say you shrink down, so say you shrink down, so say if you go wise is less than 65, what say you say why 64, right? Cause it could be 64. That means X would need to be greater than 116.", "session_id": 4307, "sequence_id": 244, "annotations": []}
{"role": "student", "content": "So it has to be just greater.", "session_id": 4307, "sequence_id": 245, "annotations": []}
{"role": "volunteer", "content": "greater than 115, yeah", "session_id": 4307, "sequence_id": 246, "annotations": []}
{"role": "volunteer", "content": "So it's", "session_id": 4307, "sequence_id": 247, "annotations": []}
{"role": "student", "content": "OK, yeah, that makes sense to me.", "session_id": 4307, "sequence_id": 248, "annotations": []}
{"role": "volunteer", "content": "yeah, yeah, yeah.", "session_id": 4307, "sequence_id": 249, "annotations": []}
{"role": "volunteer", "content": "it's a little it's a little confusing", "session_id": 4307, "sequence_id": 250, "annotations": []}
{"role": "volunteer", "content": "but um", "session_id": 4307, "sequence_id": 251, "annotations": []}
{"role": "volunteer", "content": "that's kind of the way that I would think about it.", "session_id": 4307, "sequence_id": 252, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 4307, "sequence_id": 253, "annotations": []}
{"role": "volunteer", "content": "Um.", "session_id": 4307, "sequence_id": 254, "annotations": []}
{"role": "volunteer", "content": "Yeah. Do you have any other problems", "session_id": 4307, "sequence_id": 255, "annotations": []}
{"role": "student", "content": "Yeah, I do, but I kind of like wanna talk about it.", "session_id": 4307, "sequence_id": 256, "annotations": []}
{"role": "student", "content": "like, OK, so", "session_id": 4307, "sequence_id": 257, "annotations": []}
{"role": "student", "content": "you know, we do 180 and then it says why is less than 65, so you can do that and then do 180 minus 65.", "session_id": 4307, "sequence_id": 258, "annotations": []}
{"role": "student", "content": "So that's what", "session_id": 4307, "sequence_id": 259, "annotations": []}
{"role": "student", "content": "X is, cause that's what we have left.", "session_id": 4307, "sequence_id": 260, "annotations": []}
{"role": "student", "content": "and it's bigger than that", "session_id": 4307, "sequence_id": 261, "annotations": []}
{"role": "student", "content": "and then", "session_id": 4307, "sequence_id": 262, "annotations": []}
{"role": "student", "content": "X just has to be greater than 115.", "session_id": 4307, "sequence_id": 263, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 4307, "sequence_id": 264, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 4307, "sequence_id": 265, "annotations": []}
{"role": "volunteer", "content": "That, that's, that's, that's basically what it.", "session_id": 4307, "sequence_id": 266, "annotations": []}
{"role": "student", "content": "I have another one.", "session_id": 4307, "sequence_id": 267, "annotations": []}
{"role": "student", "content": "So like if you wanna", "session_id": 4307, "sequence_id": 268, "annotations": []}
{"role": "student", "content": "the board", "session_id": 4307, "sequence_id": 269, "annotations": []}
{"role": "volunteer", "content": "Yeah, the", "session_id": 4307, "sequence_id": 270, "annotations": []}
{"role": "student", "content": "OK", "session_id": 4307, "sequence_id": 271, "annotations": []}
{"role": "student", "content": "So", "session_id": 4307, "sequence_id": 272, "annotations": []}
{"role": "volunteer", "content": "OK, yeah.", "session_id": 4307, "sequence_id": 273, "annotations": []}
{"role": "student", "content": "I forgot how big a rectangle can be.", "session_id": 4307, "sequence_id": 274, "annotations": []}
{"role": "volunteer", "content": "Um.", "session_id": 4307, "sequence_id": 275, "annotations": []}
{"role": "volunteer", "content": "you actually don't even these ankles to the", "session_id": 4307, "sequence_id": 276, "annotations": []}
{"role": "volunteer", "content": "small.", "session_id": 4307, "sequence_id": 277, "annotations": []}
{"role": "student", "content": "But like how", "session_id": 4307, "sequence_id": 278, "annotations": []}
{"role": "student", "content": "how big is a rectangle supposed to be? Because I know, uh triangle is supposed to add up to 180.", "session_id": 4307, "sequence_id": 279, "annotations": []}
{"role": "volunteer", "content": "Um, basically", "session_id": 4307, "sequence_id": 280, "annotations": []}
{"role": "volunteer", "content": "the, the angles, well, it's, it's not how big it is, like length or width or anything like that. It's the", "session_id": 4307, "sequence_id": 281, "annotations": []}
{"role": "volunteer", "content": "all the angles within a rectangle add up to 360, and then all the angles are gonna try and go out of 40, but for this problem, you actually don't need to be able at all.", "session_id": 4307, "sequence_id": 282, "annotations": []}
{"role": "volunteer", "content": "Do you understand?", "session_id": 4307, "sequence_id": 283, "annotations": []}
{"role": "student", "content": "So wait, do I understand that um all of rectangles add up to 360.", "session_id": 4307, "sequence_id": 284, "annotations": []}
{"role": "volunteer", "content": "Uh, 360, but no, uh no, I'm asking, do you understand like.", "session_id": 4307, "sequence_id": 285, "annotations": []}
{"role": "volunteer", "content": "uh", "session_id": 4307, "sequence_id": 286, "annotations": []}
{"role": "volunteer", "content": "do you, this problem doesn't need the because", "session_id": 4307, "sequence_id": 287, "annotations": []}
{"role": "volunteer", "content": "talking about the area", "session_id": 4307, "sequence_id": 288, "annotations": []}
{"role": "student", "content": "Oh, OK", "session_id": 4307, "sequence_id": 289, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 4307, "sequence_id": 290, "annotations": []}
{"role": "volunteer", "content": "but yeah, basically you can also just remember like for any other songs that you.", "session_id": 4307, "sequence_id": 291, "annotations": []}
{"role": "student", "content": "Wait, is it because the area is inside and then the like", "session_id": 4307, "sequence_id": 292, "annotations": []}
{"role": "student", "content": "it", "session_id": 4307, "sequence_id": 293, "annotations": []}
{"role": "student", "content": "the um what is it? It's outside.", "session_id": 4307, "sequence_id": 294, "annotations": []}
{"role": "volunteer", "content": "Mhm.", "session_id": 4307, "sequence_id": 295, "annotations": []}
{"role": "volunteer", "content": "The angle", "session_id": 4307, "sequence_id": 296, "annotations": []}
{"role": "student", "content": "Yeah, yeah. OK, wait, I understand cause this is talking about the outside.", "session_id": 4307, "sequence_id": 297, "annotations": []}
{"role": "student", "content": "right?", "session_id": 4307, "sequence_id": 298, "annotations": []}
{"role": "student", "content": "So it can be more than 360 degrees.", "session_id": 4307, "sequence_id": 299, "annotations": []}
{"role": "volunteer", "content": "Yeah, yeah, like the length and this is, yeah.", "session_id": 4307, "sequence_id": 300, "annotations": []}
{"role": "volunteer", "content": "we're, um, OK, but let me, here, let me draw it out for you", "session_id": 4307, "sequence_id": 301, "annotations": []}
{"role": "volunteer", "content": "OK, so we're gonna draw ABCD, so A.", "session_id": 4307, "sequence_id": 302, "annotations": []}
{"role": "volunteer", "content": "E.", "session_id": 4307, "sequence_id": 303, "annotations": []}
{"role": "volunteer", "content": "C.", "session_id": 4307, "sequence_id": 304, "annotations": []}
{"role": "student", "content": "Are you like walking home? What does that sound?", "session_id": 4307, "sequence_id": 305, "annotations": []}
{"role": "volunteer", "content": "um", "session_id": 4307, "sequence_id": 306, "annotations": []}
{"role": "volunteer", "content": "no, I'm", "session_id": 4307, "sequence_id": 307, "annotations": []}
{"role": "volunteer", "content": "I", "session_id": 4307, "sequence_id": 308, "annotations": []}
{"role": "volunteer", "content": "It's my um audio", "session_id": 4307, "sequence_id": 309, "annotations": []}
{"role": "volunteer", "content": "better?", "session_id": 4307, "sequence_id": 310, "annotations": []}
{"role": "volunteer", "content": "I apologize", "session_id": 4307, "sequence_id": 311, "annotations": []}
{"role": "student", "content": "Yeah, now it is. It was like scratching like it sounded like it was raining.", "session_id": 4307, "sequence_id": 312, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 4307, "sequence_id": 313, "annotations": []}
{"role": "student", "content": "or something", "session_id": 4307, "sequence_id": 314, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 4307, "sequence_id": 315, "annotations": []}
{"role": "student", "content": "No, no, no, no, you're fine. Like I was just like, what was that?", "session_id": 4307, "sequence_id": 316, "annotations": []}
{"role": "volunteer", "content": "OK, so this is ABCD. So we're gonna read the poem. So, ABCD is similar to EFGH. So let's draw both, both of them.", "session_id": 4307, "sequence_id": 317, "annotations": []}
{"role": "student", "content": "again", "session_id": 4307, "sequence_id": 318, "annotations": []}
{"role": "volunteer", "content": "Uh", "session_id": 4307, "sequence_id": 319, "annotations": []}
{"role": "volunteer", "content": "G", "session_id": 4307, "sequence_id": 320, "annotations": []}
{"role": "volunteer", "content": "H", "session_id": 4307, "sequence_id": 321, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 4307, "sequence_id": 322, "annotations": []}
{"role": "volunteer", "content": "So", "session_id": 4307, "sequence_id": 323, "annotations": []}
{"role": "volunteer", "content": "when I was talking about the angles, so all these angles right here, you see how these are all right angles?", "session_id": 4307, "sequence_id": 324, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 4307, "sequence_id": 325, "annotations": []}
{"role": "volunteer", "content": "So that means it's 9090, 90, 90. So they all add up to their 60.", "session_id": 4307, "sequence_id": 326, "annotations": []}
{"role": "volunteer", "content": "you understand", "session_id": 4307, "sequence_id": 327, "annotations": []}
{"role": "volunteer", "content": "But it's for both of them, no matter, no matter the length of any um", "session_id": 4307, "sequence_id": 328, "annotations": []}
{"role": "volunteer", "content": "of of the width or the length, no matter that, the angles are always gonna add up to 360.", "session_id": 4307, "sequence_id": 329, "annotations": []}
{"role": "volunteer", "content": "So like you could have", "session_id": 4307, "sequence_id": 330, "annotations": []}
{"role": "student", "content": "So in a triangle, why do we only add up to 180. And here, why do we have like 4 90s.", "session_id": 4307, "sequence_id": 331, "annotations": []}
{"role": "volunteer", "content": "I get, well, basically, so say there's the rectangle right here", "session_id": 4307, "sequence_id": 332, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 4307, "sequence_id": 333, "annotations": []}
{"role": "volunteer", "content": "Like what you, you'll see watch. So say", "session_id": 4307, "sequence_id": 334, "annotations": []}
{"role": "volunteer", "content": "if we just cut this in half, sorry, it's a bad line, but if you just cut this in half, then you can see it's two triangles, right?", "session_id": 4307, "sequence_id": 335, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 4307, "sequence_id": 336, "annotations": []}
{"role": "volunteer", "content": "And", "session_id": 4307, "sequence_id": 337, "annotations": []}
{"role": "volunteer", "content": "if you like, pretend that there's these, the 90s here, right? Or will they, there will be, right? But if you couldn't have, you see how there's two trials that you could see how there's two 180s right here.", "session_id": 4307, "sequence_id": 338, "annotations": []}
{"role": "student", "content": "Oh.", "session_id": 4307, "sequence_id": 339, "annotations": []}
{"role": "student", "content": "OK", "session_id": 4307, "sequence_id": 340, "annotations": []}
{"role": "student", "content": "Well, my question is why did we put those though?", "session_id": 4307, "sequence_id": 341, "annotations": []}
{"role": "student", "content": "Oh", "session_id": 4307, "sequence_id": 342, "annotations": []}
{"role": "volunteer", "content": "Well, you, you don't, I was just trying to explain to you how they are always equal to 180. For this problem that you have, you actually don't need the angles at all.", "session_id": 4307, "sequence_id": 343, "annotations": []}
{"role": "student", "content": "Yeah, OK, wait, that makes sense. OK, I understand now.", "session_id": 4307, "sequence_id": 344, "annotations": []}
{"role": "volunteer", "content": "OK. Um, OK. So it's uh, it tells you that the area for ABCD is 648, um.", "session_id": 4307, "sequence_id": 345, "annotations": []}
{"role": "volunteer", "content": "right? And do you know, do you, have you learned about similar triangles in your class?", "session_id": 4307, "sequence_id": 346, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 4307, "sequence_id": 347, "annotations": []}
{"role": "student", "content": "so it says ABCD is 648.", "session_id": 4307, "sequence_id": 348, "annotations": []}
{"role": "volunteer", "content": "Yeah, the area, so", "session_id": 4307, "sequence_id": 349, "annotations": []}
{"role": "student", "content": "So area is a length times width, so the outside, not the inside.", "session_id": 4307, "sequence_id": 350, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 4307, "sequence_id": 351, "annotations": []}
{"role": "student", "content": "So", "session_id": 4307, "sequence_id": 352, "annotations": []}
{"role": "volunteer", "content": "Well", "session_id": 4307, "sequence_id": 353, "annotations": []}
{"role": "student", "content": "that just means we need to find the length and width.", "session_id": 4307, "sequence_id": 354, "annotations": []}
{"role": "volunteer", "content": "um", "session_id": 4307, "sequence_id": 355, "annotations": []}
{"role": "volunteer", "content": "kind of, this problem is more like a a ratio's problem because", "session_id": 4307, "sequence_id": 356, "annotations": []}
{"role": "volunteer", "content": "it's saying that EFGH and ABCD are similar, and you know how similar means like", "session_id": 4307, "sequence_id": 357, "annotations": []}
{"role": "volunteer", "content": "if", "session_id": 4307, "sequence_id": 358, "annotations": []}
{"role": "student", "content": "Two are the same", "session_id": 4307, "sequence_id": 359, "annotations": []}
{"role": "volunteer", "content": "um", "session_id": 4307, "sequence_id": 360, "annotations": []}
{"role": "student", "content": "like 2 parts are the same.", "session_id": 4307, "sequence_id": 361, "annotations": []}
{"role": "volunteer", "content": "not that they're the same, but like, OK, so say you have 22 recti 22 rectangles.", "session_id": 4307, "sequence_id": 362, "annotations": []}
{"role": "student", "content": "They're the same shape, different size.", "session_id": 4307, "sequence_id": 363, "annotations": []}
{"role": "volunteer", "content": "Yeah, like that, it's kind of like that, kind of like that. I'll, I'll actually you'll see, uh, you'll see how it connects a little bit more as I write it out.", "session_id": 4307, "sequence_id": 364, "annotations": []}
{"role": "volunteer", "content": "So just give me a sec. So, OK, and then the area for this one is 72.", "session_id": 4307, "sequence_id": 365, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 4307, "sequence_id": 366, "annotations": []}
{"role": "volunteer", "content": "OK, and then this is the longest side of ABCD is 36. So would you say that CD right here is 36.", "session_id": 4307, "sequence_id": 367, "annotations": []}
{"role": "student", "content": "OK", "session_id": 4307, "sequence_id": 368, "annotations": []}
{"role": "volunteer", "content": "And then we'll say that the, you know how it says the long, what is the length and inches of the longest side?", "session_id": 4307, "sequence_id": 369, "annotations": []}
{"role": "volunteer", "content": "of EV we'll just say that's GH.", "session_id": 4307, "sequence_id": 370, "annotations": []}
{"role": "student", "content": "Oh, OK.", "session_id": 4307, "sequence_id": 371, "annotations": []}
{"role": "volunteer", "content": "So we're gonna make that X right here, because that's what we're trying to find.", "session_id": 4307, "sequence_id": 372, "annotations": []}
{"role": "student", "content": "OK, wait, I think I have an idea on how to solve it.", "session_id": 4307, "sequence_id": 373, "annotations": []}
{"role": "volunteer", "content": "Yeah.", "session_id": 4307, "sequence_id": 374, "annotations": []}
{"role": "volunteer", "content": "OK, let's see", "session_id": 4307, "sequence_id": 375, "annotations": []}
{"role": "student", "content": "So I'm just gonna do this.", "session_id": 4307, "sequence_id": 376, "annotations": []}
{"role": "student", "content": "OK, now I have to fill out one more piece of information. Oh yeah, that's 36, so.", "session_id": 4307, "sequence_id": 377, "annotations": []}
{"role": "student", "content": "OK", "session_id": 4307, "sequence_id": 378, "annotations": []}
{"role": "student", "content": "36, and now I'll just cross and multiply it. So.", "session_id": 4307, "sequence_id": 379, "annotations": []}
{"role": "student", "content": "72 x 36 is 25", "session_id": 4307, "sequence_id": 380, "annotations": []}
{"role": "student", "content": "92", "session_id": 4307, "sequence_id": 381, "annotations": []}
{"role": "student", "content": "and then we would divide it by 648 to get X", "session_id": 4307, "sequence_id": 382, "annotations": []}
{"role": "student", "content": "So", "session_id": 4307, "sequence_id": 383, "annotations": []}
{"role": "student", "content": "and I got 4. So the shortest side is 4.", "session_id": 4307, "sequence_id": 384, "annotations": []}
{"role": "volunteer", "content": "Um, yeah, that's correct", "session_id": 4307, "sequence_id": 385, "annotations": []}
{"role": "student", "content": "I mean, the longest side for EFGH is for, yeah.", "session_id": 4307, "sequence_id": 386, "annotations": []}
{"role": "volunteer", "content": "That's correct", "session_id": 4307, "sequence_id": 387, "annotations": []}
{"role": "student", "content": "OK, I have another one.", "session_id": 4307, "sequence_id": 388, "annotations": []}
{"role": "volunteer", "content": "OK, I'll clear the book", "session_id": 4307, "sequence_id": 389, "annotations": []}
{"role": "student", "content": "So are you a teacher?", "session_id": 4307, "sequence_id": 390, "annotations": []}
{"role": "volunteer", "content": "No, I'm not a teacher", "session_id": 4307, "sequence_id": 391, "annotations": []}
{"role": "student", "content": "Oh, you'at Lincoln High??", "session_id": 4307, "sequence_id": 392, "annotations": [{"pii_type": "SCHOOL", "surrogate": "at Lincoln High?", "start": 8, "end": 24}]}
{"role": "volunteer", "content": "Um, no", "session_id": 4307, "sequence_id": 393, "annotations": []}
{"role": "student", "content": "Oh.", "session_id": 4307, "sequence_id": 394, "annotations": []}
{"role": "student", "content": "Westwood Academy?", "session_id": 4307, "sequence_id": 395, "annotations": [{"pii_type": "SCHOOL", "surrogate": "Westwood Academy?", "start": 0, "end": 17}]}
{"role": "volunteer", "content": "No, I'm", "session_id": 4307, "sequence_id": 396, "annotations": []}
{"role": "volunteer", "content": "I'attend College Prep, but I've taken these classes before, so I know how to do them.", "session_id": 4307, "sequence_id": 397, "annotations": [{"pii_type": "SCHOOL", "surrogate": "attend College Prep", "start": 2, "end": 21}]}
{"role": "student", "content": "Oh, you're smart", "session_id": 4307, "sequence_id": 398, "annotations": []}
{"role": "volunteer", "content": "OK, this one's kind of weird. OK. Um, yeah, let's try it out.", "session_id": 4307, "sequence_id": 399, "annotations": []}
{"role": "volunteer", "content": "OK. So you see a corresponds to D and C and F are the right angles.", "session_id": 4307, "sequence_id": 400, "annotations": []}
{"role": "volunteer", "content": "So", "session_id": 4307, "sequence_id": 401, "annotations": []}
{"role": "volunteer", "content": "um", "session_id": 4307, "sequence_id": 402, "annotations": []}
{"role": "volunteer", "content": "let me think, so", "session_id": 4307, "sequence_id": 403, "annotations": []}
{"role": "student", "content": "Yeah, I know", "session_id": 4307, "sequence_id": 404, "annotations": []}
{"role": "volunteer", "content": "you know, do you know tangent sign, sign, OK. So tangi A is 21/20. So opposite.", "session_id": 4307, "sequence_id": 405, "annotations": []}
{"role": "volunteer", "content": "yeah", "session_id": 4307, "sequence_id": 406, "annotations": []}
{"role": "volunteer", "content": "yep", "session_id": 4307, "sequence_id": 407, "annotations": []}
{"role": "student", "content": "So it's just, so it's opposite, so that's 21. And then adjacent, so that's 20.", "session_id": 4307, "sequence_id": 408, "annotations": []}
{"role": "volunteer", "content": "And then once signed B, so that's uh adjacent with.", "session_id": 4307, "sequence_id": 409, "annotations": []}
{"role": "student", "content": "the same cause they're similar, so 21 and 20.", "session_id": 4307, "sequence_id": 410, "annotations": []}
{"role": "student", "content": "right.", "session_id": 4307, "sequence_id": 411, "annotations": []}
{"role": "volunteer", "content": "No, no, no, no, they're not the same. The, the, so, OK, when similar, similar means?", "session_id": 4307, "sequence_id": 412, "annotations": []}
{"role": "student", "content": "Oh, wait, wait, yeah, it's signed, not tan, so it", "session_id": 4307, "sequence_id": 413, "annotations": []}
{"role": "student", "content": "wouldn't it be opposite over hypotenus?", "session_id": 4307, "sequence_id": 414, "annotations": []}
{"role": "volunteer", "content": "Yeah, so it'd be this FE down here over this XFL.", "session_id": 4307, "sequence_id": 415, "annotations": []}
{"role": "student", "content": "So it'd be 21 over X.", "session_id": 4307, "sequence_id": 416, "annotations": []}
{"role": "volunteer", "content": "um", "session_id": 4307, "sequence_id": 417, "annotations": []}
{"role": "student", "content": "for sin D", "session_id": 4307, "sequence_id": 418, "annotations": []}
{"role": "student", "content": "Uh.", "session_id": 4307, "sequence_id": 419, "annotations": []}
{"role": "volunteer", "content": "no, cause it's, it, it, they can't be the same because look, it says that AB is 2.9 X, and DE is X. So similar doesn't mean they're equal. Similar does not mean equal. It means that the ratios of their side lengths are the same.", "session_id": 4307, "sequence_id": 420, "annotations": []}
{"role": "student", "content": "So what does that mean? Does that mean only one length is the same.", "session_id": 4307, "sequence_id": 421, "annotations": []}
{"role": "volunteer", "content": "No, I'll explain. So here, I'll, we're just gonna go away from the problem real quick and I'll show you this like little example. So these two triangles, I'm going to say that they're similar. So if one side is 10,", "session_id": 4307, "sequence_id": 422, "annotations": []}
{"role": "volunteer", "content": "this is the longest side. This side will be 5, and save this one is", "session_id": 4307, "sequence_id": 423, "annotations": []}
{"role": "volunteer", "content": "uh 8. This one is 4. These triangles are similar.", "session_id": 4307, "sequence_id": 424, "annotations": []}
{"role": "student", "content": "So they're common factors.", "session_id": 4307, "sequence_id": 425, "annotations": []}
{"role": "volunteer", "content": "Kind of, yeah, like that, kind of like that.", "session_id": 4307, "sequence_id": 426, "annotations": []}
{"role": "student", "content": "OK", "session_id": 4307, "sequence_id": 427, "annotations": []}
{"role": "volunteer", "content": "And then, so you see how 10, and then when I said that the side lengths, the ratio is the same, this this long, this is say this is the um short leg right here, 8, this is the short legs, so we'll say S and it's the long leg. The L over S is equal to this one, L over S like this one over here L overs.", "session_id": 4307, "sequence_id": 428, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 4307, "sequence_id": 429, "annotations": []}
{"role": "volunteer", "content": "So 10/8, the ratio of 10/8 is equal to 5/4 you know simplifying fractions. So you see how, you see that, you see that connection right there?", "session_id": 4307, "sequence_id": 430, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 4307, "sequence_id": 431, "annotations": []}
{"role": "student", "content": "So that's what similar means.", "session_id": 4307, "sequence_id": 432, "annotations": []}
{"role": "volunteer", "content": "Yeah, that's a similar", "session_id": 4307, "sequence_id": 433, "annotations": []}
{"role": "volunteer", "content": "So they don't have, how", "session_id": 4307, "sequence_id": 434, "annotations": []}
{"role": "student", "content": "So then how would we get this one?", "session_id": 4307, "sequence_id": 435, "annotations": []}
{"role": "volunteer", "content": "yeah, yeah, this one, OK, this one's a little weird. You're gonna have to like", "session_id": 4307, "sequence_id": 436, "annotations": []}
{"role": "volunteer", "content": "so first let's know, we're gonna know that sine D", "session_id": 4307, "sequence_id": 437, "annotations": []}
{"role": "volunteer", "content": "is equal to opposite overhypani, so it's FE over X.", "session_id": 4307, "sequence_id": 438, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 4307, "sequence_id": 439, "annotations": []}
{"role": "volunteer", "content": "right? And since a corresponds to angle D, we're gonna do sine A. So sine A is equal to 21", "session_id": 4307, "sequence_id": 440, "annotations": []}
{"role": "volunteer", "content": "to sin", "session_id": 4307, "sequence_id": 441, "annotations": []}
{"role": "volunteer", "content": "A is equal to 21 over 2.9x. You don't actually need to know X yet.", "session_id": 4307, "sequence_id": 442, "annotations": []}
{"role": "volunteer", "content": "cause", "session_id": 4307, "sequence_id": 443, "annotations": []}
{"role": "volunteer", "content": "you'll see", "session_id": 4307, "sequence_id": 444, "annotations": []}
{"role": "volunteer", "content": "Soy is 2.9", "session_id": 4307, "sequence_id": 445, "annotations": []}
{"role": "volunteer", "content": "over", "session_id": 4307, "sequence_id": 446, "annotations": []}
{"role": "volunteer", "content": "X", "session_id": 4307, "sequence_id": 447, "annotations": []}
{"role": "volunteer", "content": "So 21", "session_id": 4307, "sequence_id": 448, "annotations": []}
{"role": "volunteer", "content": "since they're similar, you can set the ratios equal to each other.", "session_id": 4307, "sequence_id": 449, "annotations": []}
{"role": "student", "content": "Why did we do sign in?", "session_id": 4307, "sequence_id": 450, "annotations": []}
{"role": "volunteer", "content": "because um", "session_id": 4307, "sequence_id": 451, "annotations": []}
{"role": "volunteer", "content": "I'm trying to show you that like", "session_id": 4307, "sequence_id": 452, "annotations": []}
{"role": "student", "content": "Oh, so we have to do sign sin D.", "session_id": 4307, "sequence_id": 453, "annotations": []}
{"role": "volunteer", "content": "so sign D is this FE right here over x. Sign A is 21 hour plan.", "session_id": 4307, "sequence_id": 454, "annotations": []}
{"role": "volunteer", "content": "Yeah.", "session_id": 4307, "sequence_id": 455, "annotations": []}
{"role": "volunteer", "content": "OK, so this is kind of the, the, this is what you have here and then", "session_id": 4307, "sequence_id": 456, "annotations": []}
{"role": "volunteer", "content": "let me, let me think", "session_id": 4307, "sequence_id": 457, "annotations": []}
{"role": "volunteer", "content": "OK, uh, there's one more thing that we need to solve for.", "session_id": 4307, "sequence_id": 458, "annotations": []}
{"role": "volunteer", "content": "So you see how um", "session_id": 4307, "sequence_id": 459, "annotations": []}
{"role": "volunteer", "content": "we, we, we, we need, honestly, because this is 2.9 X, but we need to find this length right here.", "session_id": 4307, "sequence_id": 460, "annotations": []}
{"role": "volunteer", "content": "We need to find the hypotenuse of the AECD.", "session_id": 4307, "sequence_id": 461, "annotations": []}
{"role": "volunteer", "content": "or ABC", "session_id": 4307, "sequence_id": 462, "annotations": []}
{"role": "student", "content": "So that means we need to find.", "session_id": 4307, "sequence_id": 463, "annotations": []}
{"role": "volunteer", "content": "Um, yeah, you could find, yeah, basically, but you can just do it like this watch. So, so first you're gonna find the hypotenuse of", "session_id": 4307, "sequence_id": 464, "annotations": []}
{"role": "volunteer", "content": "of this, so", "session_id": 4307, "sequence_id": 465, "annotations": []}
{"role": "student", "content": "Can we do it by Pythagorean theorem?", "session_id": 4307, "sequence_id": 466, "annotations": []}
{"role": "volunteer", "content": "Yeah, petalgra theorem, so do that.", "session_id": 4307, "sequence_id": 467, "annotations": []}
{"role": "student", "content": "Oh, OK, I know that", "session_id": 4307, "sequence_id": 468, "annotations": []}
{"role": "student", "content": "It would", "session_id": 4307, "sequence_id": 469, "annotations": []}
{"role": "student", "content": "square plus", "session_id": 4307, "sequence_id": 470, "annotations": []}
{"role": "student", "content": "2", "session_id": 4307, "sequence_id": 471, "annotations": []}
{"role": "student", "content": "1 square.", "session_id": 4307, "sequence_id": 472, "annotations": []}
{"role": "student", "content": "equals the hypotenuse squared.", "session_id": 4307, "sequence_id": 473, "annotations": []}
{"role": "student", "content": "So", "session_id": 4307, "sequence_id": 474, "annotations": []}
{"role": "student", "content": "OK, for my hypotenus I got um 29.", "session_id": 4307, "sequence_id": 475, "annotations": []}
{"role": "volunteer", "content": "That", "session_id": 4307, "sequence_id": 476, "annotations": []}
{"role": "student", "content": "So", "session_id": 4307, "sequence_id": 477, "annotations": []}
{"role": "volunteer", "content": "this right here is 29.", "session_id": 4307, "sequence_id": 478, "annotations": []}
{"role": "volunteer", "content": "This whole thing, AB is 29, the length.", "session_id": 4307, "sequence_id": 479, "annotations": []}
{"role": "student", "content": "mm, why is it 2.9 x over 29. Isn't it just 29?", "session_id": 4307, "sequence_id": 480, "annotations": []}
{"role": "volunteer", "content": "No, no, no, it's, uh, it's not. I'm sorry. I just, I just wrote it under it. It's, it's", "session_id": 4307, "sequence_id": 481, "annotations": []}
{"role": "volunteer", "content": "s yeah, yeah.", "session_id": 4307, "sequence_id": 482, "annotations": []}
{"role": "volunteer", "content": "But", "session_id": 4307, "sequence_id": 483, "annotations": []}
{"role": "student", "content": "Oh, OK. Uh, oh no, my bad. I was like.", "session_id": 4307, "sequence_id": 484, "annotations": []}
{"role": "volunteer", "content": "it's good", "session_id": 4307, "sequence_id": 485, "annotations": []}
{"role": "student", "content": "So that means.", "session_id": 4307, "sequence_id": 486, "annotations": []}
{"role": "student", "content": "this", "session_id": 4307, "sequence_id": 487, "annotations": []}
{"role": "student", "content": "hotness.", "session_id": 4307, "sequence_id": 488, "annotations": []}
{"role": "student", "content": "right", "session_id": 4307, "sequence_id": 489, "annotations": []}
{"role": "volunteer", "content": "But let's just go back", "session_id": 4307, "sequence_id": 490, "annotations": []}
{"role": "volunteer", "content": "like kind of ratio we have right here", "session_id": 4307, "sequence_id": 491, "annotations": []}
{"role": "volunteer", "content": "So", "session_id": 4307, "sequence_id": 492, "annotations": []}
{"role": "volunteer", "content": "let me just um", "session_id": 4307, "sequence_id": 493, "annotations": []}
{"role": "volunteer", "content": "OK, so", "session_id": 4307, "sequence_id": 494, "annotations": []}
{"role": "volunteer", "content": "21, OK, since we already know that it's 29, we don't need this 2.9X anymore because we know it's 29, so it's 21/29. So sine is 21/29.", "session_id": 4307, "sequence_id": 495, "annotations": []}
{"role": "volunteer", "content": "and that is going to be equal to", "session_id": 4307, "sequence_id": 496, "annotations": []}
{"role": "volunteer", "content": "is equal to sine D", "session_id": 4307, "sequence_id": 497, "annotations": []}
{"role": "volunteer", "content": "Do you understand?", "session_id": 4307, "sequence_id": 498, "annotations": []}
{"role": "volunteer", "content": "They", "session_id": 4307, "sequence_id": 499, "annotations": []}
{"role": "volunteer", "content": "I can go back. Let me just go, let me explain this one thing that", "session_id": 4307, "sequence_id": 500, "annotations": []}
{"role": "volunteer", "content": "corresponding angles in similar triangles are equal.", "session_id": 4307, "sequence_id": 501, "annotations": []}
{"role": "volunteer", "content": "So just because", "session_id": 4307, "sequence_id": 502, "annotations": []}
{"role": "student", "content": "Oh", "session_id": 4307, "sequence_id": 503, "annotations": []}
{"role": "volunteer", "content": "the sides are equal.", "session_id": 4307, "sequence_id": 504, "annotations": []}
{"role": "volunteer", "content": "The they what I was saying how the ratio. So time A is the price.", "session_id": 4307, "sequence_id": 505, "annotations": []}
{"role": "student", "content": "OK", "session_id": 4307, "sequence_id": 506, "annotations": []}
{"role": "volunteer", "content": "So", "session_id": 4307, "sequence_id": 507, "annotations": []}
{"role": "student", "content": "So 21/29 is our answer.", "session_id": 4307, "sequence_id": 508, "annotations": []}
{"role": "volunteer", "content": "yeah, that's what", "session_id": 4307, "sequence_id": 509, "annotations": []}
{"role": "volunteer", "content": "um", "session_id": 4307, "sequence_id": 510, "annotations": []}
{"role": "student", "content": "But um, I have a question. So, like, then why do they say it's 2.9 times the length of DE.", "session_id": 4307, "sequence_id": 511, "annotations": []}
{"role": "student", "content": "right?", "session_id": 4307, "sequence_id": 512, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 4307, "sequence_id": 513, "annotations": []}
{"role": "student", "content": "That's like so confusing", "session_id": 4307, "sequence_id": 514, "annotations": []}
{"role": "volunteer", "content": "it, it adds that, but honestly, you don't really even need it. I, I mean, you could like if you wanted to, you could find out what X is.", "session_id": 4307, "sequence_id": 515, "annotations": []}
{"role": "student", "content": "Oh yeah, cause it was confusing me because it was basically like", "session_id": 4307, "sequence_id": 516, "annotations": []}
{"role": "student", "content": "yeah, but", "session_id": 4307, "sequence_id": 517, "annotations": []}
{"role": "student", "content": "just to focus on the sign.", "session_id": 4307, "sequence_id": 518, "annotations": []}
{"role": "student", "content": "right", "session_id": 4307, "sequence_id": 519, "annotations": []}
{"role": "volunteer", "content": "Yeah, that's like the postpartum part.", "session_id": 4307, "sequence_id": 520, "annotations": []}
{"role": "student", "content": "Cause like this is sign these's answer, right?", "session_id": 4307, "sequence_id": 521, "annotations": []}
{"role": "volunteer", "content": "Yeah.", "session_id": 4307, "sequence_id": 522, "annotations": []}
{"role": "student", "content": "21/29.", "session_id": 4307, "sequence_id": 523, "annotations": []}
{"role": "volunteer", "content": "Yeah.", "session_id": 4307, "sequence_id": 524, "annotations": []}
{"role": "student", "content": "So like, to get this right, I think like.", "session_id": 4307, "sequence_id": 525, "annotations": []}
{"role": "student", "content": "what was I gonna say", "session_id": 4307, "sequence_id": 526, "annotations": []}
{"role": "student", "content": "You need to like do this one.", "session_id": 4307, "sequence_id": 527, "annotations": []}
{"role": "student", "content": "And like if you try and go to this one, you'll get it wrong.", "session_id": 4307, "sequence_id": 528, "annotations": []}
{"role": "volunteer", "content": "Yeah, cause you don't really have a lot of information of that one, of that triangle, um, so it's the best thing for you to do", "session_id": 4307, "sequence_id": 529, "annotations": []}
{"role": "volunteer", "content": "your sense are similar, you wanna make sure you know everything about one triangle at least.", "session_id": 4307, "sequence_id": 530, "annotations": []}
{"role": "student", "content": "Uh, all right.", "session_id": 4307, "sequence_id": 531, "annotations": []}
{"role": "volunteer", "content": "So that's why you'll, you'll so for the hypotenuse, you figure out the hypoiss, and since you know that the ratios are equal. You can just find", "session_id": 4307, "sequence_id": 532, "annotations": []}
{"role": "volunteer", "content": "I'm sorry, I'm back. OK. So, since you know that the hypois right here is", "session_id": 4307, "sequence_id": 533, "annotations": []}
{"role": "volunteer", "content": "29. You just, you know that the ratios are equal so fine a plan.", "session_id": 4307, "sequence_id": 534, "annotations": []}
{"role": "student", "content": "Yeah, and then, OK, ABC is in like the same", "session_id": 4307, "sequence_id": 535, "annotations": []}
{"role": "student", "content": "or as DES", "session_id": 4307, "sequence_id": 536, "annotations": []}
{"role": "volunteer", "content": "got you", "session_id": 4307, "sequence_id": 537, "annotations": []}
{"role": "volunteer", "content": "have to make sure", "session_id": 4307, "sequence_id": 538, "annotations": []}
{"role": "student", "content": "So you could just use this, and that's why it's equal.", "session_id": 4307, "sequence_id": 539, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 4307, "sequence_id": 540, "annotations": []}
{"role": "volunteer", "content": "yeah, you have to make sure that the order's right. It's honestly kind of weird. Usually I'm used to using the right angle", "session_id": 4307, "sequence_id": 541, "annotations": []}
{"role": "volunteer", "content": "about it.", "session_id": 4307, "sequence_id": 542, "annotations": []}
{"role": "volunteer", "content": "but they say that a corresponds to D A and B, I think, and yeah, after the wedding.", "session_id": 4307, "sequence_id": 543, "annotations": []}
{"role": "student", "content": "Yeah, so that's why you don't have to solve for this one cause they're in the same angle, meaning they're the same thing and equal.", "session_id": 4307, "sequence_id": 544, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 4307, "sequence_id": 545, "annotations": []}
{"role": "student", "content": "OK. Do you wanna do another one?", "session_id": 4307, "sequence_id": 546, "annotations": []}
{"role": "volunteer", "content": "Um, how many do you have left", "session_id": 4307, "sequence_id": 547, "annotations": []}
{"role": "student", "content": "Ah.", "session_id": 4307, "sequence_id": 548, "annotations": []}
{"role": "student", "content": "I have like a few left, like it doesn't really matter", "session_id": 4307, "sequence_id": 549, "annotations": []}
{"role": "student", "content": "cause like I do like them", "session_id": 4307, "sequence_id": 550, "annotations": []}
{"role": "student", "content": "every day.", "session_id": 4307, "sequence_id": 551, "annotations": []}
{"role": "volunteer", "content": "Um, we can do one more.", "session_id": 4307, "sequence_id": 552, "annotations": []}
{"role": "student", "content": "OK", "session_id": 4307, "sequence_id": 553, "annotations": []}
{"role": "student", "content": "OK", "session_id": 4307, "sequence_id": 554, "annotations": []}
{"role": "student", "content": "I uploaded it.", "session_id": 4307, "sequence_id": 555, "annotations": []}
{"role": "volunteer", "content": "OK, so first we can just grasp it.", "session_id": 4307, "sequence_id": 556, "annotations": []}
{"role": "volunteer", "content": "or grapple we know", "session_id": 4307, "sequence_id": 557, "annotations": []}
{"role": "student", "content": "OK", "session_id": 4307, "sequence_id": 558, "annotations": []}
{"role": "student", "content": "By the way, like the background noise is like, I can hear it.", "session_id": 4307, "sequence_id": 559, "annotations": []}
{"role": "volunteer", "content": "OK, is it fixed", "session_id": 4307, "sequence_id": 560, "annotations": []}
{"role": "student", "content": "Uh, yeah, it's better now.", "session_id": 4307, "sequence_id": 561, "annotations": []}
{"role": "student", "content": "It was like, it's like sounded like really like.", "session_id": 4307, "sequence_id": 562, "annotations": []}
{"role": "student", "content": "loud, like loud static.", "session_id": 4307, "sequence_id": 563, "annotations": []}
{"role": "volunteer", "content": "I apologize, my microphone isn't the best.", "session_id": 4307, "sequence_id": 564, "annotations": []}
{"role": "student", "content": "Oh, no, no, no, you're fine, you're fine.", "session_id": 4307, "sequence_id": 565, "annotations": []}
{"role": "student", "content": "Oh, so we graphed this one.", "session_id": 4307, "sequence_id": 566, "annotations": []}
{"role": "volunteer", "content": "kind of. So it said that the center is at -1.", "session_id": 4307, "sequence_id": 567, "annotations": []}
{"role": "volunteer", "content": "1", "session_id": 4307, "sequence_id": 568, "annotations": []}
{"role": "volunteer", "content": "and it says that line T is tangent to the circle.", "session_id": 4307, "sequence_id": 569, "annotations": []}
{"role": "student", "content": "That's so confusing", "session_id": 4307, "sequence_id": 570, "annotations": []}
{"role": "volunteer", "content": "I, I know. So basically,", "session_id": 4307, "sequence_id": 571, "annotations": []}
{"role": "volunteer", "content": "here, let me", "session_id": 4307, "sequence_id": 572, "annotations": []}
{"role": "volunteer", "content": "let me try to", "session_id": 4307, "sequence_id": 573, "annotations": []}
{"role": "volunteer", "content": "Oh, this is a really weird problem.", "session_id": 4307, "sequence_id": 574, "annotations": []}
{"role": "volunteer", "content": "Have you, have you learned this in your class yet or no?", "session_id": 4307, "sequence_id": 575, "annotations": []}
{"role": "student", "content": "No, but do you want like um the uh explanation.", "session_id": 4307, "sequence_id": 576, "annotations": []}
{"role": "student", "content": "Ah", "session_id": 4307, "sequence_id": 577, "annotations": []}
{"role": "volunteer", "content": "No, I, I understand, I understand it, but I'm, it's, it's it's a little bit difficult. I don't", "session_id": 4307, "sequence_id": 578, "annotations": []}
{"role": "student", "content": "OK, no, I haven't learned it before.", "session_id": 4307, "sequence_id": 579, "annotations": []}
{"role": "volunteer", "content": "you haven't learned it", "session_id": 4307, "sequence_id": 580, "annotations": []}
{"role": "student", "content": "No", "session_id": 4307, "sequence_id": 581, "annotations": []}
{"role": "volunteer", "content": "OK, so", "session_id": 4307, "sequence_id": 582, "annotations": []}
{"role": "volunteer", "content": "pretend you have this er this right here is the", "session_id": 4307, "sequence_id": 583, "annotations": []}
{"role": "volunteer", "content": "the um", "session_id": 4307, "sequence_id": 584, "annotations": []}
{"role": "student", "content": "Centerpoint", "session_id": 4307, "sequence_id": 585, "annotations": []}
{"role": "volunteer", "content": "yeah, that's the center point of the circle.", "session_id": 4307, "sequence_id": 586, "annotations": []}
{"role": "volunteer", "content": "So because the, the, the, the line or the line is tangi, that means that it's like", "session_id": 4307, "sequence_id": 587, "annotations": []}
{"role": "volunteer", "content": "it's kind of like", "session_id": 4307, "sequence_id": 588, "annotations": []}
{"role": "volunteer", "content": "like that", "session_id": 4307, "sequence_id": 589, "annotations": []}
{"role": "volunteer", "content": "and this is really bad.", "session_id": 4307, "sequence_id": 590, "annotations": []}
{"role": "student", "content": "Oh, should I use a graphing calculator.", "session_id": 4307, "sequence_id": 591, "annotations": []}
{"role": "volunteer", "content": "you know, it's, it's, it's OK. Like just like", "session_id": 4307, "sequence_id": 592, "annotations": []}
{"role": "volunteer", "content": "here, I'll draw it a little bit.", "session_id": 4307, "sequence_id": 593, "annotations": []}
{"role": "student", "content": "A tangent just means circle", "session_id": 4307, "sequence_id": 594, "annotations": []}
{"role": "volunteer", "content": "Now tangi tangent means", "session_id": 4307, "sequence_id": 595, "annotations": []}
{"role": "volunteer", "content": "tangent means that it's on the circle at", "session_id": 4307, "sequence_id": 596, "annotations": []}
{"role": "volunteer", "content": "this point, but it's like, it's only on this circle right here. It's just right here.", "session_id": 4307, "sequence_id": 597, "annotations": []}
{"role": "student", "content": "Like it's the circle only touches it on the edge of it.", "session_id": 4307, "sequence_id": 598, "annotations": []}
{"role": "volunteer", "content": "Yeah, right, like right there, yeah", "session_id": 4307, "sequence_id": 599, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 4307, "sequence_id": 600, "annotations": []}
{"role": "volunteer", "content": "OK. So first is you need to find this slope.", "session_id": 4307, "sequence_id": 601, "annotations": []}
{"role": "volunteer", "content": "You need to find the slope between these two points, cause that will give you", "session_id": 4307, "sequence_id": 602, "annotations": []}
{"role": "volunteer", "content": "that, that will give you the slope of the radius. Do you see?", "session_id": 4307, "sequence_id": 603, "annotations": []}
{"role": "student", "content": "And how do we find the soul of the two points.", "session_id": 4307, "sequence_id": 604, "annotations": []}
{"role": "volunteer", "content": "You haven't done slope yet", "session_id": 4307, "sequence_id": 605, "annotations": []}
{"role": "volunteer", "content": "in your life?", "session_id": 4307, "sequence_id": 606, "annotations": []}
{"role": "student", "content": "Oh yeah, I know how to do the slope, but um", "session_id": 4307, "sequence_id": 607, "annotations": []}
{"role": "volunteer", "content": "You just, yeah", "session_id": 4307, "sequence_id": 608, "annotations": []}
{"role": "student", "content": "oh, OK, yeah, I know this. It's k 0 no y2 minus y1 over x2 minus x1.", "session_id": 4307, "sequence_id": 609, "annotations": []}
{"role": "volunteer", "content": "Yeah.", "session_id": 4307, "sequence_id": 610, "annotations": []}
{"role": "student", "content": "OK", "session_id": 4307, "sequence_id": 611, "annotations": []}
{"role": "student", "content": "So", "session_id": 4307, "sequence_id": 612, "annotations": []}
{"role": "student", "content": "hold on", "session_id": 4307, "sequence_id": 613, "annotations": []}
{"role": "student", "content": "OK, is that right", "session_id": 4307, "sequence_id": 614, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 4307, "sequence_id": 615, "annotations": []}
{"role": "student", "content": "And", "session_id": 4307, "sequence_id": 616, "annotations": []}
{"role": "volunteer", "content": "OK. And then when it says which of the following points also line on line T. Line T is this line right here.", "session_id": 4307, "sequence_id": 617, "annotations": []}
{"role": "volunteer", "content": "It's since it's tangent, like, I mean, you haven't learned about perpendicular lines yet, but that's how you'll know. It goes through this one point on the circle and it's tangi right here.", "session_id": 4307, "sequence_id": 618, "annotations": []}
{"role": "student", "content": "um, what math are you in?", "session_id": 4307, "sequence_id": 619, "annotations": []}
{"role": "volunteer", "content": "Calculus", "session_id": 4307, "sequence_id": 620, "annotations": []}
{"role": "student", "content": "Oh", "session_id": 4307, "sequence_id": 621, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 4307, "sequence_id": 622, "annotations": []}
{"role": "volunteer", "content": "So", "session_id": 4307, "sequence_id": 623, "annotations": []}
{"role": "volunteer", "content": "do you see how these two lines right here are perpendicular.", "session_id": 4307, "sequence_id": 624, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 4307, "sequence_id": 625, "annotations": []}
{"role": "volunteer", "content": "and says it's perpendicular, the slope of this line T right here is, do you know that like that rule that slope of lines that are perpendicular is the negative reciprocal.", "session_id": 4307, "sequence_id": 626, "annotations": []}
{"role": "student", "content": "Oh yeah, I know. So it's -1 over that slope.", "session_id": 4307, "sequence_id": 627, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 4307, "sequence_id": 628, "annotations": []}
{"role": "student", "content": "So I do -1 over 56, right?", "session_id": 4307, "sequence_id": 629, "annotations": []}
{"role": "student", "content": "Wait, why are we doing the perpendicular slope again?", "session_id": 4307, "sequence_id": 630, "annotations": []}
{"role": "volunteer", "content": "because it basically, when it says which of the following points also lies on line T. It wants you to find line T. That's like the, the best. It wants you to find the equation of line t.", "session_id": 4307, "sequence_id": 631, "annotations": []}
{"role": "volunteer", "content": "So you need to find the slope of this line.", "session_id": 4307, "sequence_id": 632, "annotations": []}
{"role": "student", "content": "and said", "session_id": 4307, "sequence_id": 633, "annotations": []}
{"role": "student", "content": "So I literally got 6/5.", "session_id": 4307, "sequence_id": 634, "annotations": []}
{"role": "student", "content": "So is that lime tea", "session_id": 4307, "sequence_id": 635, "annotations": []}
{"role": "volunteer", "content": "That's, that's, that's the slope.", "session_id": 4307, "sequence_id": 636, "annotations": []}
{"role": "student", "content": "Yeah, no, I did the perpendicular slope.", "session_id": 4307, "sequence_id": 637, "annotations": []}
{"role": "volunteer", "content": "Yeah, yeah, yeah. So, um, do you know about Point slope formula?", "session_id": 4307, "sequence_id": 638, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 4307, "sequence_id": 639, "annotations": []}
{"role": "volunteer", "content": "Yeah, Y minus Y1 equals the slope", "session_id": 4307, "sequence_id": 640, "annotations": []}
{"role": "volunteer", "content": "times X minus X1.", "session_id": 4307, "sequence_id": 641, "annotations": []}
{"role": "volunteer", "content": "So you know that the line is changed to the05-4. So that's gonna be your point, and then you already know the slope", "session_id": 4307, "sequence_id": 642, "annotations": []}
{"role": "volunteer", "content": "which is 6/5.", "session_id": 4307, "sequence_id": 643, "annotations": []}
{"role": "volunteer", "content": "So now", "session_id": 4307, "sequence_id": 644, "annotations": []}
{"role": "student", "content": "They asked us for the perpendicular slope, right?", "session_id": 4307, "sequence_id": 645, "annotations": []}
{"role": "volunteer", "content": "yeah", "session_id": 4307, "sequence_id": 646, "annotations": []}
{"role": "volunteer", "content": "Well, it basically", "session_id": 4307, "sequence_id": 647, "annotations": []}
{"role": "volunteer", "content": "no um", "session_id": 4307, "sequence_id": 648, "annotations": []}
{"role": "volunteer", "content": "it", "session_id": 4307, "sequence_id": 649, "annotations": []}
{"role": "volunteer", "content": "when you draw this out and it says that it has a center at -11, and it's tangent at 54.", "session_id": 4307, "sequence_id": 650, "annotations": []}
{"role": "volunteer", "content": "You know that this like radius right here is this line right here, right?", "session_id": 4307, "sequence_id": 651, "annotations": []}
{"role": "volunteer", "content": "You are kind of I'm pointing to", "session_id": 4307, "sequence_id": 652, "annotations": []}
{"role": "student", "content": "Mhm", "session_id": 4307, "sequence_id": 653, "annotations": []}
{"role": "volunteer", "content": "And then it says that it's tangent. So the best way for you to think about tangent is is like", "session_id": 4307, "sequence_id": 654, "annotations": []}
{"role": "volunteer", "content": "draw the point that's on the circle.", "session_id": 4307, "sequence_id": 655, "annotations": []}
{"role": "volunteer", "content": "and then just like pretend that there's a line going through that point along the circle.", "session_id": 4307, "sequence_id": 656, "annotations": []}
{"role": "student", "content": "Um", "session_id": 4307, "sequence_id": 657, "annotations": []}
{"role": "volunteer", "content": "Yeah, and then you can just see right here that this line, this line right here, and this line right here, it's they're perpendicular to each other. So since you know the slope of this line, you want to find the slope of this line and you know that it's this, the slope of T", "session_id": 4307, "sequence_id": 658, "annotations": []}
{"role": "volunteer", "content": "is the negative reciprocal of the slope of this of the radius of the circle.", "session_id": 4307, "sequence_id": 659, "annotations": []}
{"role": "student", "content": "OK", "session_id": 4307, "sequence_id": 660, "annotations": []}
{"role": "volunteer", "content": "So you know that the radius, I mean, you know that the slope is 6/5.", "session_id": 4307, "sequence_id": 661, "annotations": []}
{"role": "volunteer", "content": "You have the 0.5 -4, which is on t.", "session_id": 4307, "sequence_id": 662, "annotations": []}
{"role": "volunteer", "content": "and you're now you have to find the equation of INT. So, do you know how to do that?", "session_id": 4307, "sequence_id": 663, "annotations": []}
{"role": "student", "content": "Yeah, I would just plug it in, right?", "session_id": 4307, "sequence_id": 664, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 4307, "sequence_id": 665, "annotations": []}
{"role": "student", "content": "so", "session_id": 4307, "sequence_id": 666, "annotations": []}
{"role": "student", "content": "um", "session_id": 4307, "sequence_id": 667, "annotations": []}
{"role": "student", "content": "what points would I use again to plug it in?", "session_id": 4307, "sequence_id": 668, "annotations": []}
{"role": "volunteer", "content": "54, cause that's on the", "session_id": 4307, "sequence_id": 669, "annotations": []}
{"role": "volunteer", "content": "line of teeth", "session_id": 4307, "sequence_id": 670, "annotations": []}
{"role": "student", "content": "Yeah, but no, we need, so this is one, and like I also need", "session_id": 4307, "sequence_id": 671, "annotations": []}
{"role": "volunteer", "content": "You go", "session_id": 4307, "sequence_id": 672, "annotations": []}
{"role": "student", "content": "another cod in it, right? Because there are like two whites here.", "session_id": 4307, "sequence_id": 673, "annotations": []}
{"role": "volunteer", "content": "you don't", "session_id": 4307, "sequence_id": 674, "annotations": []}
{"role": "volunteer", "content": "you don't need another coordinate to find the equation.", "session_id": 4307, "sequence_id": 675, "annotations": []}
{"role": "student", "content": "Wait, so it would be just Y minus Y phosphor.", "session_id": 4307, "sequence_id": 676, "annotations": []}
{"role": "student", "content": "equals 6.", "session_id": 4307, "sequence_id": 677, "annotations": []}
{"role": "student", "content": "over 5", "session_id": 4307, "sequence_id": 678, "annotations": []}
{"role": "student", "content": "That's 5", "session_id": 4307, "sequence_id": 679, "annotations": []}
{"role": "student", "content": "Is that right", "session_id": 4307, "sequence_id": 680, "annotations": []}
{"role": "volunteer", "content": "Well, is that -1", "session_id": 4307, "sequence_id": 681, "annotations": []}
{"role": "volunteer", "content": "No", "session_id": 4307, "sequence_id": 682, "annotations": []}
{"role": "student", "content": "Yeah, it's 5 minus 1.", "session_id": 4307, "sequence_id": 683, "annotations": []}
{"role": "volunteer", "content": "No, no, you leave X", "session_id": 4307, "sequence_id": 684, "annotations": []}
{"role": "student", "content": "Um", "session_id": 4307, "sequence_id": 685, "annotations": []}
{"role": "student", "content": "OK", "session_id": 4307, "sequence_id": 686, "annotations": []}
{"role": "volunteer", "content": "Oh sorry, I wrote that wrong. My, um, I'm sorry, here, right here, it's X minus y1.", "session_id": 4307, "sequence_id": 687, "annotations": []}
{"role": "student", "content": "OK", "session_id": 4307, "sequence_id": 688, "annotations": []}
{"role": "volunteer", "content": "Sorry, now, um.", "session_id": 4307, "sequence_id": 689, "annotations": []}
{"role": "volunteer", "content": "so", "session_id": 4307, "sequence_id": 690, "annotations": []}
{"role": "volunteer", "content": "what is it called? So Y1 is just negative 4 right here and next one is this. So let me just", "session_id": 4307, "sequence_id": 691, "annotations": []}
{"role": "volunteer", "content": "that means that the equation", "session_id": 4307, "sequence_id": 692, "annotations": []}
{"role": "volunteer", "content": "Y + 4 is equals to 6/5 times", "session_id": 4307, "sequence_id": 693, "annotations": []}
{"role": "volunteer", "content": "y + 4 = 6/5(x-5)", "session_id": 4307, "sequence_id": 694, "annotations": []}
{"role": "volunteer", "content": "X minus 5. That's the equation.", "session_id": 4307, "sequence_id": 695, "annotations": []}
{"role": "volunteer", "content": "I text, I typed it in the chat.", "session_id": 4307, "sequence_id": 696, "annotations": []}
{"role": "volunteer", "content": "Do you understand", "session_id": 4307, "sequence_id": 697, "annotations": []}
{"role": "student", "content": "Um", "session_id": 4307, "sequence_id": 698, "annotations": []}
{"role": "student", "content": "yeah, kind of. Oh wait, let me just recap. So first what we did was, um, we marked the center point and then the um", "session_id": 4307, "sequence_id": 699, "annotations": []}
{"role": "student", "content": "54, which is our tangent. So then we drew a circle right around that.", "session_id": 4307, "sequence_id": 700, "annotations": []}
{"role": "student", "content": "and", "session_id": 4307, "sequence_id": 701, "annotations": []}
{"role": "student", "content": "then", "session_id": 4307, "sequence_id": 702, "annotations": []}
{"role": "student", "content": "we drew a line", "session_id": 4307, "sequence_id": 703, "annotations": []}
{"role": "student", "content": "from the slope formula and we got um", "session_id": 4307, "sequence_id": 704, "annotations": []}
{"role": "volunteer", "content": "Yeah, this is a rate which is.", "session_id": 4307, "sequence_id": 705, "annotations": []}
{"role": "student", "content": "-5/6. And then for some reason, I forgot why we did the", "session_id": 4307, "sequence_id": 706, "annotations": []}
{"role": "student", "content": "made it perpendica. Why did we make it perpendicular again?", "session_id": 4307, "sequence_id": 707, "annotations": []}
{"role": "volunteer", "content": "OK, so", "session_id": 4307, "sequence_id": 708, "annotations": []}
{"role": "volunteer", "content": "the, the 5/6", "session_id": 4307, "sequence_id": 709, "annotations": []}
{"role": "student", "content": "Yeah.", "session_id": 4307, "sequence_id": 710, "annotations": []}
{"role": "volunteer", "content": "is the slope of the radius of this circle.", "session_id": 4307, "sequence_id": 711, "annotations": []}
{"role": "student", "content": "right", "session_id": 4307, "sequence_id": 712, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 4307, "sequence_id": 713, "annotations": []}
{"role": "volunteer", "content": "So you see how the radius is -11, and we know that 54 is also a point in the circle, and it's a point on the line, like this is the point of this uh on the circle, and the line is going through just that one point on the circle.", "session_id": 4307, "sequence_id": 714, "annotations": []}
{"role": "volunteer", "content": "if, if that makes sense", "session_id": 4307, "sequence_id": 715, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 4307, "sequence_id": 716, "annotations": []}
{"role": "volunteer", "content": "So, we found the slope of the radius, which is -5/6.", "session_id": 4307, "sequence_id": 717, "annotations": []}
{"role": "volunteer", "content": "right?", "session_id": 4307, "sequence_id": 718, "annotations": []}
{"role": "student", "content": "Yeah, wait, so how is that the slope of the radius, though, like, isn't it just like we were solving this look. Is it radius because like we did it with these two coordinates, and those two coordinates are half of the circle.", "session_id": 4307, "sequence_id": 719, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 4307, "sequence_id": 720, "annotations": []}
{"role": "volunteer", "content": "Yeah.", "session_id": 4307, "sequence_id": 721, "annotations": []}
{"role": "student", "content": "OK, so that's why it's the slope. So we found the slope of the radius and then", "session_id": 4307, "sequence_id": 722, "annotations": []}
{"role": "volunteer", "content": "And then in order to find the slope of this line, because the question is asking which of the following points also lies on line T. So you could literally, so it, you know, your question is probably giving you a bunch of answer choices, right?", "session_id": 4307, "sequence_id": 723, "annotations": []}
{"role": "volunteer", "content": "And it's like coordinates", "session_id": 4307, "sequence_id": 724, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 4307, "sequence_id": 725, "annotations": []}
{"role": "volunteer", "content": "So it basically says like line T", "session_id": 4307, "sequence_id": 726, "annotations": []}
{"role": "volunteer", "content": "does it have any of these other points?", "session_id": 4307, "sequence_id": 727, "annotations": []}
{"role": "volunteer", "content": "So in order to find that out, you need to know the equation of line t.", "session_id": 4307, "sequence_id": 728, "annotations": []}
{"role": "student", "content": "So we're finding the slope of Late.", "session_id": 4307, "sequence_id": 729, "annotations": []}
{"role": "volunteer", "content": "The slope of IT and then using that slope of line T, then we're finding the equation of life.", "session_id": 4307, "sequence_id": 730, "annotations": []}
{"role": "student", "content": "So the sofa of line T is 6/5, so it's over 5.", "session_id": 4307, "sequence_id": 731, "annotations": []}
{"role": "volunteer", "content": "Yes, cause you could see that they're it's perpendicular to the slope of the radius.", "session_id": 4307, "sequence_id": 732, "annotations": []}
{"role": "student", "content": "Oh, OK", "session_id": 4307, "sequence_id": 733, "annotations": []}
{"role": "student", "content": "What does perpendicular mean again?", "session_id": 4307, "sequence_id": 734, "annotations": []}
{"role": "volunteer", "content": "Um, so like say you have a straight line.", "session_id": 4307, "sequence_id": 735, "annotations": []}
{"role": "student", "content": "Yeah.", "session_id": 4307, "sequence_id": 736, "annotations": []}
{"role": "volunteer", "content": "Perpendicular is like the opposite direction. So like it's a horizontal line.", "session_id": 4307, "sequence_id": 737, "annotations": []}
{"role": "student", "content": "Oh, so they intersect with each other.", "session_id": 4307, "sequence_id": 738, "annotations": []}
{"role": "volunteer", "content": "kind of, yeah. So like, look down here. So say I have this line right here. This is like a line.", "session_id": 4307, "sequence_id": 739, "annotations": []}
{"role": "volunteer", "content": "And then the another line that would be perpendicular to this line, it would just cross it like", "session_id": 4307, "sequence_id": 740, "annotations": []}
{"role": "volunteer", "content": "it would be", "session_id": 4307, "sequence_id": 741, "annotations": []}
{"role": "volunteer", "content": "like", "session_id": 4307, "sequence_id": 742, "annotations": []}
{"role": "volunteer", "content": "it would be going the opposite direction kind, you know what I mean.", "session_id": 4307, "sequence_id": 743, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 4307, "sequence_id": 744, "annotations": []}
{"role": "volunteer", "content": "Like it's like a cross, so like he have a they will they'll end up making a cross.", "session_id": 4307, "sequence_id": 745, "annotations": []}
{"role": "student", "content": "OK, so we found the perpendicular line and then we use slow point formula.", "session_id": 4307, "sequence_id": 746, "annotations": []}
{"role": "volunteer", "content": "Be point formula, yes, to find the equation of line c. And we found the equation of IT, which is why + 4.", "session_id": 4307, "sequence_id": 747, "annotations": []}
{"role": "volunteer", "content": "is equal to the slope, and which is 6/5.", "session_id": 4307, "sequence_id": 748, "annotations": []}
{"role": "volunteer", "content": "times X minus X1, which is 5.", "session_id": 4307, "sequence_id": 749, "annotations": []}
{"role": "volunteer", "content": "because you know that if it's tangent at 5 comma -4. That means it's touching that point. It has that point on its line.", "session_id": 4307, "sequence_id": 750, "annotations": []}
{"role": "volunteer", "content": "So now that you have this point, um, or you have this, you could simplify it a little bit more.", "session_id": 4307, "sequence_id": 751, "annotations": []}
{"role": "volunteer", "content": "So like do you know how to simplify this equation right here?", "session_id": 4307, "sequence_id": 752, "annotations": []}
{"role": "volunteer", "content": "To make it into like Y equals MX + B, you can do that.", "session_id": 4307, "sequence_id": 753, "annotations": []}
{"role": "volunteer", "content": "to make it more simple", "session_id": 4307, "sequence_id": 754, "annotations": []}
{"role": "student", "content": "OK", "session_id": 4307, "sequence_id": 755, "annotations": []}
{"role": "volunteer", "content": "Hello", "session_id": 4307, "sequence_id": 756, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 4307, "sequence_id": 757, "annotations": []}
{"role": "student", "content": "I'm trying to solve", "session_id": 4307, "sequence_id": 758, "annotations": []}
{"role": "student", "content": "the um", "session_id": 4307, "sequence_id": 759, "annotations": []}
{"role": "student", "content": "thing right now, this one.", "session_id": 4307, "sequence_id": 760, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 4307, "sequence_id": 761, "annotations": []}
{"role": "student", "content": "So like I'm just distributing 65 now.", "session_id": 4307, "sequence_id": 762, "annotations": []}
{"role": "volunteer", "content": "I can write it out", "session_id": 4307, "sequence_id": 763, "annotations": []}
{"role": "student", "content": "Oh, it's fine. I'll just do it and", "session_id": 4307, "sequence_id": 764, "annotations": []}
{"role": "student", "content": "OK, I solved it", "session_id": 4307, "sequence_id": 765, "annotations": []}
{"role": "student", "content": "Um", "session_id": 4307, "sequence_id": 766, "annotations": []}
{"role": "student", "content": "OK, I'll just say it because it's going to take me a while to write it. So Y equals 6/5 x minus 10.", "session_id": 4307, "sequence_id": 767, "annotations": []}
{"role": "volunteer", "content": "Yeah, that's right", "session_id": 4307, "sequence_id": 768, "annotations": []}
{"role": "volunteer", "content": "OK.", "session_id": 4307, "sequence_id": 769, "annotations": []}
{"role": "student", "content": "OK. And then is that the answer?", "session_id": 4307, "sequence_id": 770, "annotations": []}
{"role": "student", "content": "So -10", "session_id": 4307, "sequence_id": 771, "annotations": []}
{"role": "volunteer", "content": "Well, that's the equation. And then um your, your problem says we should the following points also lies on line T, and it's probably give you a list.", "session_id": 4307, "sequence_id": 772, "annotations": []}
{"role": "volunteer", "content": "It's probably giving you a list of coordinates, and do you, do you now, you just have to see which one follows that equation.", "session_id": 4307, "sequence_id": 773, "annotations": []}
{"role": "student", "content": "So it has to match my why.", "session_id": 4307, "sequence_id": 774, "annotations": []}
{"role": "student", "content": "and my", "session_id": 4307, "sequence_id": 775, "annotations": []}
{"role": "student", "content": "I mean, it has to match my slope and my X intercept.", "session_id": 4307, "sequence_id": 776, "annotations": []}
{"role": "volunteer", "content": "Yeah, can you, can you upload a photo of the answer choices?", "session_id": 4307, "sequence_id": 777, "annotations": []}
{"role": "student", "content": "Yeah, can you feel the board a little bit? There's like a lot of stuff on there.", "session_id": 4307, "sequence_id": 778, "annotations": []}
{"role": "volunteer", "content": "I'm not, I can't make my eraser bigger. So I'm just gonna clar some pages.", "session_id": 4307, "sequence_id": 779, "annotations": []}
{"role": "student", "content": "Oh, OK, I'll just", "session_id": 4307, "sequence_id": 780, "annotations": []}
{"role": "student", "content": "hold on.", "session_id": 4307, "sequence_id": 781, "annotations": []}
{"role": "volunteer", "content": "Oh, actually, no, wait, I can't, I got this", "session_id": 4307, "sequence_id": 782, "annotations": []}
{"role": "volunteer", "content": "There you go.", "session_id": 4307, "sequence_id": 783, "annotations": []}
{"role": "student", "content": "bro, there's so much stuff on this board.", "session_id": 4307, "sequence_id": 784, "annotations": []}
{"role": "volunteer", "content": "Yeah I'm just gonna erase everything.", "session_id": 4307, "sequence_id": 785, "annotations": []}
{"role": "student", "content": "OK", "session_id": 4307, "sequence_id": 786, "annotations": []}
{"role": "volunteer", "content": "he said so", "session_id": 4307, "sequence_id": 787, "annotations": []}
{"role": "student", "content": "How do you erase everything", "session_id": 4307, "sequence_id": 788, "annotations": []}
{"role": "volunteer", "content": "I, I have an option that allows me to erase it. I'm not sure why if you have it too.", "session_id": 4307, "sequence_id": 789, "annotations": []}
{"role": "student", "content": "OK, so hold on.", "session_id": 4307, "sequence_id": 790, "annotations": []}
{"role": "student", "content": "OK, it's Y equals", "session_id": 4307, "sequence_id": 791, "annotations": []}
{"role": "student", "content": "6/5 x minus 10.", "session_id": 4307, "sequence_id": 792, "annotations": []}
{"role": "student", "content": "And of course, now it's not uploading.", "session_id": 4307, "sequence_id": 793, "annotations": []}
{"role": "student", "content": "I'm just gonna write it out because", "session_id": 4307, "sequence_id": 794, "annotations": []}
{"role": "student", "content": "it's not working", "session_id": 4307, "sequence_id": 795, "annotations": []}
{"role": "volunteer", "content": "The answer choices", "session_id": 4307, "sequence_id": 796, "annotations": []}
{"role": "student", "content": "Yeah, it's not uploading, so I'm just going to take them.", "session_id": 4307, "sequence_id": 797, "annotations": []}
{"role": "volunteer", "content": "OK.", "session_id": 4307, "sequence_id": 798, "annotations": []}
{"role": "student", "content": "0, 6/5 b. 4,7 c. 10,2 d. 11,1", "session_id": 4307, "sequence_id": 799, "annotations": []}
{"role": "student", "content": "OK, those are the answer choices.", "session_id": 4307, "sequence_id": 800, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 4307, "sequence_id": 801, "annotations": []}
{"role": "volunteer", "content": "0645.", "session_id": 4307, "sequence_id": 802, "annotations": []}
{"role": "volunteer", "content": "171", "session_id": 4307, "sequence_id": 803, "annotations": []}
{"role": "volunteer", "content": "1", "session_id": 4307, "sequence_id": 804, "annotations": []}
{"role": "volunteer", "content": "OK, so you're just gonna", "session_id": 4307, "sequence_id": 805, "annotations": []}
{"role": "student", "content": "Oh, I can't hear you. Your mic is muting.", "session_id": 4307, "sequence_id": 806, "annotations": []}
{"role": "volunteer", "content": "uh, I know, I know. Uh, I'm, I'm just thinking.", "session_id": 4307, "sequence_id": 807, "annotations": []}
{"role": "student", "content": "You can just type it", "session_id": 4307, "sequence_id": 808, "annotations": []}
{"role": "volunteer", "content": "Are you sure those are the points", "session_id": 4307, "sequence_id": 809, "annotations": []}
{"role": "student", "content": "Yeah, I'm sure", "session_id": 4307, "sequence_id": 810, "annotations": []}
{"role": "student", "content": "Here, I'll read them out.", "session_id": 4307, "sequence_id": 811, "annotations": []}
{"role": "student", "content": "06/5.", "session_id": 4307, "sequence_id": 812, "annotations": []}
{"role": "student", "content": "4/7", "session_id": 4307, "sequence_id": 813, "annotations": []}
{"role": "student", "content": "10, 2, and 11,1.", "session_id": 4307, "sequence_id": 814, "annotations": []}
{"role": "volunteer", "content": "Is it 4/7 or 47?", "session_id": 4307, "sequence_id": 815, "annotations": []}
{"role": "student", "content": "Oh wait, yeah, it's 47.", "session_id": 4307, "sequence_id": 816, "annotations": []}
{"role": "volunteer", "content": "OK, OK", "session_id": 4307, "sequence_id": 817, "annotations": []}
{"role": "volunteer", "content": "So for, for what I would do if I got this, I would just plug in all those X values, and then see if it gets the right Y value cause, you know, you're trying to find which of these points matches up.", "session_id": 4307, "sequence_id": 818, "annotations": []}
{"role": "student", "content": "R R Y value is -10, right?", "session_id": 4307, "sequence_id": 819, "annotations": []}
{"role": "volunteer", "content": "That's the Y intercept.", "session_id": 4307, "sequence_id": 820, "annotations": []}
{"role": "student", "content": "Oh, what's our Y value? Is it the, um,", "session_id": 4307, "sequence_id": 821, "annotations": []}
{"role": "volunteer", "content": "No, no, like you see how these, these, these are all write them out.", "session_id": 4307, "sequence_id": 822, "annotations": []}
{"role": "student", "content": "is there Y value -4?", "session_id": 4307, "sequence_id": 823, "annotations": []}
{"role": "volunteer", "content": "No, we don't it when you graph this line, there's an infinite amount of Y values.", "session_id": 4307, "sequence_id": 824, "annotations": []}
{"role": "volunteer", "content": "You're just trying to find which of these points that the question is giving you is also on this line.", "session_id": 4307, "sequence_id": 825, "annotations": []}
{"role": "student", "content": "Oh, OK. So it has to match. So if I plugged in 4/7, the Y would have to um be 7.", "session_id": 4307, "sequence_id": 826, "annotations": []}
{"role": "volunteer", "content": "equals 7, yes", "session_id": 4307, "sequence_id": 827, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 4307, "sequence_id": 828, "annotations": []}
{"role": "volunteer", "content": "So you can let's just go through all of them.", "session_id": 4307, "sequence_id": 829, "annotations": []}
{"role": "student", "content": "So that means the answer would have to equal 7.", "session_id": 4307, "sequence_id": 830, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 4307, "sequence_id": 831, "annotations": []}
{"role": "student", "content": "So, I'm gonna try it now.", "session_id": 4307, "sequence_id": 832, "annotations": []}
{"role": "volunteer", "content": "You can try all of them until you get the, the right one.", "session_id": 4307, "sequence_id": 833, "annotations": []}
{"role": "volunteer", "content": "Yup.", "session_id": 4307, "sequence_id": 834, "annotations": []}
{"role": "student", "content": "OK, it's this one, cause I got um 2 for the answer, and then 2 is the why.", "session_id": 4307, "sequence_id": 835, "annotations": []}
{"role": "volunteer", "content": "That's correct", "session_id": 4307, "sequence_id": 836, "annotations": []}
{"role": "student", "content": "OK, well, you have to go now, right?", "session_id": 4307, "sequence_id": 837, "annotations": []}
{"role": "volunteer", "content": "Yes, I do", "session_id": 4307, "sequence_id": 838, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 4307, "sequence_id": 839, "annotations": []}
{"role": "student", "content": "OK, well, thank you so much.", "session_id": 4307, "sequence_id": 840, "annotations": []}
{"role": "student", "content": "Have a good day", "session_id": 4307, "sequence_id": 841, "annotations": []}
{"role": "volunteer", "content": "You too.", "session_id": 4307, "sequence_id": 842, "annotations": []}
{"role": "volunteer", "content": "Hlo", "session_id": 4409, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "hii", "session_id": 4409, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "Could you upload the problem again? Sorry for that", "session_id": 4409, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "Do you need to just draw it?", "session_id": 4409, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "no", "session_id": 4409, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "i js need to anwser the component", "session_id": 4409, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "and magnitude", "session_id": 4409, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "R you familiar with the graphing system", "session_id": 4409, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "and direction of v", "session_id": 4409, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "i already graphed it", "session_id": 4409, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "Do you know the formula of magnitude?", "session_id": 4409, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "radical a^2 +b^2", "session_id": 4409, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "It's actually", "session_id": 4409, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "well thats what we learned", "session_id": 4409, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "(x2-x1)^2 + (y2-y1)^2", "session_id": 4409, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "Then the root of this value", "session_id": 4409, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "(2,4), (-4,5)", "session_id": 4409, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "thats for vector", "session_id": 4409, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "Not only for vectors", "session_id": 4409, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "Its the same formula for any two points", "session_id": 4409, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "(-4-2)^2+ (5-4)^2", "session_id": 4409, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "36+1", "session_id": 4409, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "\u221a37", "session_id": 4409, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "so is our compenent form not -6, 1?", "session_id": 4409, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "Yes the component is <-6,1>", "session_id": 4409, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "and our direction of v is what?", "session_id": 4409, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "170.5\u00b0 approximately", "session_id": 4409, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "it says wrong", "session_id": 4409, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "What says wrong", "session_id": 4409, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "the problem?", "session_id": 4409, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "you gave me", "session_id": 4409, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "idk what exactly is wrong", "session_id": 4409, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "The magnitude", "session_id": 4409, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "i put 37", "session_id": 4409, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "U wrote 35", "session_id": 4409, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "radical 37", "session_id": 4409, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "Its 37", "session_id": 4409, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "yeah i changed it", "session_id": 4409, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "but the direction of v in s nearest negree", "session_id": 4409, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "degree", "session_id": 4409, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "so no .5", "session_id": 4409, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "but i already tried", "session_id": 4409, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "Try", "session_id": 4409, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "that", "session_id": 4409, "sequence_id": 43, "annotations": []}
{"role": "student", "content": "are u sure", "session_id": 4409, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "this is my last try", "session_id": 4409, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "before it marks it wrong", "session_id": 4409, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "Give it a try", "session_id": 4409, "sequence_id": 47, "annotations": []}
{"role": "student", "content": "Mark it worked thank uu", "session_id": 4409, "sequence_id": 48, "annotations": [{"pii_type": "PERSON", "surrogate": "Mark", "start": 0, "end": 4}]}
{"role": "volunteer", "content": "Hi", "session_id": 5908, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "Hello! Im confused on one of my math problems. I understand this topic, but since this topic comes in so many different formats, I always get confused, and it results me in not doing so well at all.", "session_id": 5908, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "k", "session_id": 5908, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "let's take it one step at a time", "session_id": 5908, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "we know that BD is parallel to AE", "session_id": 5908, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "let's mark that dpwn", "session_id": 5908, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "BF bisects ABD", "session_id": 5908, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "yes,", "session_id": 5908, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "so that means the two parts around it are equal", "session_id": 5908, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "right?", "session_id": 5908, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "yes!", "session_id": 5908, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "we need to find angle E", "session_id": 5908, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "to find this angle, we need the other two angles of the biggest triangle", "session_id": 5908, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "make sense?", "session_id": 5908, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "because they add 180", "session_id": 5908, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "yes, I think so.", "session_id": 5908, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 5908, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "so we can 180-160?", "session_id": 5908, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "116.", "session_id": 5908, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "not yet", "session_id": 5908, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "lets jot down the numbers we know for sure right now", "session_id": 5908, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "okay", "session_id": 5908, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "we know that angle C is 85 degrees", "session_id": 5908, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "we know only need angle A, right?", "session_id": 5908, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "so we can subtract both 180", "session_id": 5908, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "to get E", "session_id": 5908, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "angle A is inside of a smaller triangle as well, and we know that one of the angles 180-116", "session_id": 5908, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "what is that?", "session_id": 5908, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "64", "session_id": 5908, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "yep", "session_id": 5908, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "so A is also 64, since 2 sides are the same?", "session_id": 5908, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "I would look at it this way; since BD and AE are parallel, we know that the alternate interior angle of BF is also 64", "session_id": 5908, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "exactly", "session_id": 5908, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "and since we know BF bisects, we know that angle at B is also 64", "session_id": 5908, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "so we can find A", "session_id": 5908, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "right, 180-64-64", "session_id": 5908, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "yep", "session_id": 5908, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "52", "session_id": 5908, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "now we have all we need", "session_id": 5908, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "to find E", "session_id": 5908, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "so now we 180-85-52", "session_id": 5908, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "180-85-52", "session_id": 5908, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "yup", "session_id": 5908, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "43", "session_id": 5908, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "yeah", "session_id": 5908, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "Thanks, I understand it.", "session_id": 5908, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "these problems take a bit of time", "session_id": 5908, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "you need to go one step at a time", "session_id": 5908, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "or you might mix up values", "session_id": 5908, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "but I can tell that you're starting to get the hang of it", "session_id": 5908, "sequence_id": 49, "annotations": []}
{"role": "student", "content": "Thanks! I have one more, can we try it?", "session_id": 5908, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "sure", "session_id": 5908, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "try to go through the steps in chat and I can correct you along the way", "session_id": 5908, "sequence_id": 52, "annotations": []}
{"role": "student", "content": "okay!", "session_id": 5908, "sequence_id": 53, "annotations": []}
{"role": "student", "content": "So we know that", "session_id": 5908, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "start with instructions above", "session_id": 5908, "sequence_id": 55, "annotations": []}
{"role": "student", "content": "B is congruent to BAD which is also congruent to ADC. Which Im pretty sure is marked already", "session_id": 5908, "sequence_id": 56, "annotations": []}
{"role": "student", "content": "We also know that D is 80", "session_id": 5908, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "you sure?", "session_id": 5908, "sequence_id": 58, "annotations": []}
{"role": "student", "content": "And we need to solve for C. Im pretty sure that this shape 360 degrees", "session_id": 5908, "sequence_id": 59, "annotations": []}
{"role": "student", "content": "ADE I meant", "session_id": 5908, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "why is D 80 degrees?", "session_id": 5908, "sequence_id": 61, "annotations": []}
{"role": "student", "content": "ADE = 80", "session_id": 5908, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "yep", "session_id": 5908, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "what does this tells you about D though", "session_id": 5908, "sequence_id": 64, "annotations": []}
{"role": "student", "content": "That 180 degrees", "session_id": 5908, "sequence_id": 65, "annotations": []}
{"role": "student", "content": "Its straight", "session_id": 5908, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "almost", "session_id": 5908, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "ADE+D=180", "session_id": 5908, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "because it's a line", "session_id": 5908, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "right?", "session_id": 5908, "sequence_id": 70, "annotations": []}
{"role": "student", "content": "yes", "session_id": 5908, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "remember that", "session_id": 5908, "sequence_id": 72, "annotations": []}
{"role": "student", "content": "So we can say that ADC is 100", "session_id": 5908, "sequence_id": 73, "annotations": []}
{"role": "student", "content": "Since their congruent would that mean that they are the same values?", "session_id": 5908, "sequence_id": 74, "annotations": []}
{"role": "volunteer", "content": "yep", "session_id": 5908, "sequence_id": 75, "annotations": []}
{"role": "student", "content": "360-100-100-100", "session_id": 5908, "sequence_id": 76, "annotations": []}
{"role": "student", "content": "60?", "session_id": 5908, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "awesome job", "session_id": 5908, "sequence_id": 78, "annotations": []}
{"role": "student", "content": "Thanks! :)", "session_id": 5908, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "any other questions?", "session_id": 5908, "sequence_id": 80, "annotations": []}
{"role": "student", "content": "No, Thats all the problems I have left to solve. But thanks! You helped a lot!", "session_id": 5908, "sequence_id": 81, "annotations": []}
{"role": "volunteer", "content": "it was great working with you, have a good one!", "session_id": 5908, "sequence_id": 82, "annotations": []}
{"role": "student", "content": "You too, goodbye", "session_id": 5908, "sequence_id": 83, "annotations": []}
{"role": "volunteer", "content": "Hi, how can I help you today?", "session_id": 5965, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "Hi!", "session_id": 5965, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "Is there anything you need help with today?", "session_id": 5965, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "I have one question on parrellograms that requires a written answer. But I am not allowed to get help on the specific question so can I please put up the quesition and you make an example just like my question and help me solve the example", "session_id": 5965, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "Sure, sounds good!", "session_id": 5965, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "Thank  you, I will put it up", "session_id": 5965, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "Just to let you know I am kind of in a rush", "session_id": 5965, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "Ok! I'll go as fast as I can!", "session_id": 5965, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "Let me know when you need to go", "session_id": 5965, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "Thank you!", "session_id": 5965, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "Can you see it?", "session_id": 5965, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "Yes!", "session_id": 5965, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "Ok, let's start by annotating what we know", "session_id": 5965, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "Can you label angles TUV and TVU with their angle measures?", "session_id": 5965, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "ok", "session_id": 5965, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "wait where do I put each one", "session_id": 5965, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "These are the two angles!", "session_id": 5965, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "thank you", "session_id": 5965, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "The middle letter tells you where the angle will be (so TVU has a center at V, for example)", "session_id": 5965, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "Ok, perfect!", "session_id": 5965, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "Now, let's identify angle SRV. can you label that one in a different color, please?", "session_id": 5965, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 5965, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "is that right", "session_id": 5965, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "Ok, perfect!", "session_id": 5965, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "Do you have any ideas about how we could find SRV?", "session_id": 5965, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "well we know that v has to be the same distance from R and T and the same distance from S and U so we could maybe use that knowledge", "session_id": 5965, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "That's true! But those are side lengths, and we want to focus more on the angles", "session_id": 5965, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "One important part of this problem is that RS and RU are parallel, because RSTU is a parallelogram!", "session_id": 5965, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "oh yeah", "session_id": 5965, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "Does that help with an idea of how to start?", "session_id": 5965, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "well is side TU 78 degrees?", "session_id": 5965, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "Side TU? A side can't be in degrees!", "session_id": 5965, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "Angle TUV is 78 degrees", "session_id": 5965, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "yeah sorry that's what I meant but I still don't now how to start, sorry", "session_id": 5965, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "That's fine!", "session_id": 5965, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "I'll walk you through it!", "session_id": 5965, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "RS and RU are parallel", "session_id": 5965, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "Do you remember the opposite and same side angle theorems?", "session_id": 5965, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "no", "session_id": 5965, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "Ok, let me draw a diagram!", "session_id": 5965, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "ok", "session_id": 5965, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "Do you see how that kind of looks like our parallelogram, with RT as the line going down the middle?", "session_id": 5965, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "When two lines are parallel like that and they have a line (called a transversal) going through them, their angles have special properties", "session_id": 5965, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 5965, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "For example, when their angles are on opposite sides of the interior (like the green ones I drew), those angles have the same measure!", "session_id": 5965, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "So those two green angles would have the same measure!", "session_id": 5965, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "Do you remember doing this in class?", "session_id": 5965, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "yeah now i do", "session_id": 5965, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "Ok!", "session_id": 5965, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "So back to our parallelogram", "session_id": 5965, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "We have two sets of parallel lines", "session_id": 5965, "sequence_id": 50, "annotations": []}
{"role": "student", "content": "wqat would angle r be equal to angle v?", "session_id": 5965, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "Close!", "session_id": 5965, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "It would be equal to angle UTV!", "session_id": 5965, "sequence_id": 53, "annotations": []}
{"role": "student", "content": "oh cause they are both on the end", "session_id": 5965, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "Do you see how they're on opposite sides of RT, and they both touch the parallel lines RS and RU?", "session_id": 5965, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "Yes, exactly!", "session_id": 5965, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "So now, we need to find the measure of angle UTV, because we know it's equal to SRV!", "session_id": 5965, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "Do you see how we got there?", "session_id": 5965, "sequence_id": 58, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 5965, "sequence_id": 59, "annotations": []}
{"role": "student", "content": "would angle UTV be 78 degrees", "session_id": 5965, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "Can you tell me how you got 78?", "session_id": 5965, "sequence_id": 61, "annotations": []}
{"role": "student", "content": "well if point U is 78 degrees and TU are part of the same side and point T touches side ST and point U touches side RU and those sides are parallel", "session_id": 5965, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "TU and RS aren't parallel! ST and UR are parallel, and RS and UT are parallel, but those are two different pairs of lines", "session_id": 5965, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "In order to find the measure of angle UTV, we need to realize that UTV is a triangle, so the sum of all its angles = 180", "session_id": 5965, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "This means that 54+78+UTV=180", "session_id": 5965, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "Does that make sense?", "session_id": 5965, "sequence_id": 66, "annotations": []}
{"role": "student", "content": "oh yeah", "session_id": 5965, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "Can you try to solve that?", "session_id": 5965, "sequence_id": 68, "annotations": []}
{"role": "student", "content": "so UTV is 48", "session_id": 5965, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "Perfect!", "session_id": 5965, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "So what is the measure of angle SRV?", "session_id": 5965, "sequence_id": 71, "annotations": []}
{"role": "student", "content": "48", "session_id": 5965, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "Perfect!", "session_id": 5965, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "Do you have any other questions about this problem?", "session_id": 5965, "sequence_id": 74, "annotations": []}
{"role": "student", "content": "well I do't really know how to explain my work of show my steps", "session_id": 5965, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "Do you want me to walk you through it, but faster?", "session_id": 5965, "sequence_id": 76, "annotations": []}
{"role": "student", "content": "yes please", "session_id": 5965, "sequence_id": 77, "annotations": []}
{"role": "student", "content": "I get what we did just not how to explain t", "session_id": 5965, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "Sure!", "session_id": 5965, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "Ok, so we said that RS and UT are parallel, and so are ST and RU", "session_id": 5965, "sequence_id": 80, "annotations": []}
{"role": "volunteer", "content": "(stop me if you have any questions)", "session_id": 5965, "sequence_id": 81, "annotations": []}
{"role": "student", "content": "ok i get it so far", "session_id": 5965, "sequence_id": 82, "annotations": []}
{"role": "volunteer", "content": "Good to hear! Because RS and UT are parallel, angle SRV = angle VTR", "session_id": 5965, "sequence_id": 83, "annotations": []}
{"role": "student", "content": "ok", "session_id": 5965, "sequence_id": 84, "annotations": []}
{"role": "volunteer", "content": "To find VTR, we know that all the angles in the triangle it's in add up 180", "session_id": 5965, "sequence_id": 85, "annotations": []}
{"role": "volunteer", "content": "Which means that 54 + 78 + angle UTV = 180", "session_id": 5965, "sequence_id": 86, "annotations": []}
{"role": "volunteer", "content": "Which means angle UTV = 48", "session_id": 5965, "sequence_id": 87, "annotations": []}
{"role": "volunteer", "content": "And since SRV = UTV, SRV also = 48", "session_id": 5965, "sequence_id": 88, "annotations": []}
{"role": "student", "content": "ok", "session_id": 5965, "sequence_id": 89, "annotations": []}
{"role": "student", "content": "thank you", "session_id": 5965, "sequence_id": 90, "annotations": []}
{"role": "volunteer", "content": "No problem!", "session_id": 5965, "sequence_id": 91, "annotations": []}
{"role": "student", "content": "have a great day!", "session_id": 5965, "sequence_id": 92, "annotations": []}
{"role": "volunteer", "content": "You too, hope you ace your homework!", "session_id": 5965, "sequence_id": 93, "annotations": []}
{"role": "student", "content": "thank you", "session_id": 5965, "sequence_id": 94, "annotations": []}
{"role": "volunteer", "content": "No problem!", "session_id": 5965, "sequence_id": 95, "annotations": []}
{"role": "volunteer", "content": "hi", "session_id": 6194, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "hi", "session_id": 6194, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "I am glad you signed on.", "session_id": 6194, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "How can I help?", "session_id": 6194, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "Hello", "session_id": 6194, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "Hello", "session_id": 6194, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "Can you hear me", "session_id": 6194, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 6194, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "How can I help, Emily?", "session_id": 6194, "sequence_id": 8, "annotations": [{"pii_type": "PERSON", "surrogate": "Emily", "start": 16, "end": 21}]}
{"role": "student", "content": "Oh, good evening, sir. This is Emily's, uh, dad.", "session_id": 6194, "sequence_id": 9, "annotations": [{"pii_type": "PERSON", "surrogate": "Emily", "start": 31, "end": 36}]}
{"role": "volunteer", "content": "Pardon", "session_id": 6194, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "This is Emily's job", "session_id": 6194, "sequence_id": 11, "annotations": [{"pii_type": "PERSON", "surrogate": "Emily", "start": 8, "end": 13}]}
{"role": "volunteer", "content": "Oh yes", "session_id": 6194, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "to", "session_id": 6194, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "Yes, that's fine.", "session_id": 6194, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "Yes. So, we just signed up.", "session_id": 6194, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "so", "session_id": 6194, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "Good, yes", "session_id": 6194, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "for subject areas that she has issues that she needs help, so we just signed up, so", "session_id": 6194, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "she said uh geometry is one of the areas, so", "session_id": 6194, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "you can continue to.", "session_id": 6194, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "OK, I can do this. Yes.", "session_id": 6194, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "You're welcome", "session_id": 6194, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "Thank you very much. I'm leaving you with Emily now.", "session_id": 6194, "sequence_id": 23, "annotations": [{"pii_type": "LOCATION", "surrogate": "Emily", "start": 42, "end": 47}]}
{"role": "student", "content": "All right, well.", "session_id": 6194, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "Hello", "session_id": 6194, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "Hi", "session_id": 6194, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "We can do this, can't we?", "session_id": 6194, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "Yeah.", "session_id": 6194, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "Well, I have 2 problems. The one is uh", "session_id": 6194, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "with the types of triangles.", "session_id": 6194, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "where", "session_id": 6194, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "Types of triangles, OK.", "session_id": 6194, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "yeah where there's.", "session_id": 6194, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "the Ioli", "session_id": 6194, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "um", "session_id": 6194, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "the natural and the scaling triangle.", "session_id": 6194, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "OK. Can you draw me, are there two triangles?", "session_id": 6194, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "No, that's the, there's a collateral isosceles and sing.", "session_id": 6194, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "Yeah.", "session_id": 6194, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "Bilateral, asociles, and scale.", "session_id": 6194, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 6194, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "And do you know the differences?", "session_id": 6194, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 6194, "sequence_id": 43, "annotations": []}
{"role": "student", "content": "a collateral half the congruent sites.", "session_id": 6194, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "Right", "session_id": 6194, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "and isosceles has you and, and then scalene has 0.", "session_id": 6194, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "Right, right.", "session_id": 6194, "sequence_id": 47, "annotations": []}
{"role": "student", "content": "I", "session_id": 6194, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "So if I drew something like that, it would be assosceles.", "session_id": 6194, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "You know, with these two are marked equal.", "session_id": 6194, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "Ah.", "session_id": 6194, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "like that", "session_id": 6194, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "would be scaling probably.", "session_id": 6194, "sequence_id": 53, "annotations": []}
{"role": "student", "content": "Uh, so what if, what if it has like uh", "session_id": 6194, "sequence_id": 54, "annotations": []}
{"role": "student", "content": "like something like this at the, at the bottom, at the top.", "session_id": 6194, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "I'm sorry, curvy like that?", "session_id": 6194, "sequence_id": 56, "annotations": []}
{"role": "student", "content": "What if she has, yeah.", "session_id": 6194, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "I wouldn't be a triangle.", "session_id": 6194, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "OK.", "session_id": 6194, "sequence_id": 59, "annotations": []}
{"role": "student", "content": "No, like, OK, let me do your, so you can see.", "session_id": 6194, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "I have to give my dog a treat, OK, I see it.", "session_id": 6194, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "Is it hurt like this on it?", "session_id": 6194, "sequence_id": 62, "annotations": []}
{"role": "student", "content": "And then, yeah.", "session_id": 6194, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "And that's a saucily.", "session_id": 6194, "sequence_id": 64, "annotations": []}
{"role": "student", "content": "Oh, OK. OK.", "session_id": 6194, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "Two sides are equal", "session_id": 6194, "sequence_id": 66, "annotations": []}
{"role": "student", "content": "um", "session_id": 6194, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "If they mark the angle.", "session_id": 6194, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "if they mark the angle, that means this side is equal.", "session_id": 6194, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "to this side", "session_id": 6194, "sequence_id": 70, "annotations": []}
{"role": "student", "content": "Yeah.", "session_id": 6194, "sequence_id": 71, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 6194, "sequence_id": 72, "annotations": []}
{"role": "student", "content": "So", "session_id": 6194, "sequence_id": 73, "annotations": []}
{"role": "student", "content": "so", "session_id": 6194, "sequence_id": 74, "annotations": []}
{"role": "student", "content": "Can you, um, do like one problem.", "session_id": 6194, "sequence_id": 75, "annotations": []}
{"role": "student", "content": "so I can like try do it.", "session_id": 6194, "sequence_id": 76, "annotations": []}
{"role": "student", "content": "So?", "session_id": 6194, "sequence_id": 77, "annotations": []}
{"role": "student", "content": "Just because it was normal. That's why you did.", "session_id": 6194, "sequence_id": 78, "annotations": []}
{"role": "student", "content": "Yeah.", "session_id": 6194, "sequence_id": 79, "annotations": []}
{"role": "student", "content": "the whole", "session_id": 6194, "sequence_id": 80, "annotations": []}
{"role": "student", "content": "that.", "session_id": 6194, "sequence_id": 81, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 6194, "sequence_id": 82, "annotations": []}
{"role": "student", "content": "So.", "session_id": 6194, "sequence_id": 83, "annotations": []}
{"role": "student", "content": "Oh, it's", "session_id": 6194, "sequence_id": 84, "annotations": []}
{"role": "student", "content": "you", "session_id": 6194, "sequence_id": 85, "annotations": []}
{"role": "student", "content": "you", "session_id": 6194, "sequence_id": 86, "annotations": []}
{"role": "volunteer", "content": "So sometimes you're gonna have information about the angles that help you about the size.", "session_id": 6194, "sequence_id": 87, "annotations": []}
{"role": "student", "content": "I had to take her.", "session_id": 6194, "sequence_id": 88, "annotations": []}
{"role": "volunteer", "content": "But if you can draw it", "session_id": 6194, "sequence_id": 89, "annotations": []}
{"role": "student", "content": "what", "session_id": 6194, "sequence_id": 90, "annotations": []}
{"role": "volunteer", "content": "we can look at it", "session_id": 6194, "sequence_id": 91, "annotations": []}
{"role": "student", "content": "OK", "session_id": 6194, "sequence_id": 92, "annotations": []}
{"role": "student", "content": "OK. So you want me to give like a problem?", "session_id": 6194, "sequence_id": 93, "annotations": []}
{"role": "volunteer", "content": "Yes", "session_id": 6194, "sequence_id": 94, "annotations": []}
{"role": "student", "content": "OK, got you.", "session_id": 6194, "sequence_id": 95, "annotations": []}
{"role": "student", "content": "even if they don't use it almost a thing because I like you said, well I have to do more. I stay close to me. I'm OK.", "session_id": 6194, "sequence_id": 96, "annotations": []}
{"role": "student", "content": "I just.", "session_id": 6194, "sequence_id": 97, "annotations": []}
{"role": "student", "content": "I I don't wanna go outside, you know.", "session_id": 6194, "sequence_id": 98, "annotations": []}
{"role": "student", "content": "With a heart OK.", "session_id": 6194, "sequence_id": 99, "annotations": []}
{"role": "student", "content": "Hey.", "session_id": 6194, "sequence_id": 100, "annotations": []}
{"role": "student", "content": "Mhm", "session_id": 6194, "sequence_id": 101, "annotations": []}
{"role": "student", "content": "We actually did this in school today, and", "session_id": 6194, "sequence_id": 102, "annotations": []}
{"role": "volunteer", "content": "Mhm", "session_id": 6194, "sequence_id": 103, "annotations": []}
{"role": "student", "content": "it was it was kinda confusing.", "session_id": 6194, "sequence_id": 104, "annotations": []}
{"role": "student", "content": "think.", "session_id": 6194, "sequence_id": 105, "annotations": []}
{"role": "student", "content": "Oh", "session_id": 6194, "sequence_id": 106, "annotations": []}
{"role": "student", "content": "no", "session_id": 6194, "sequence_id": 107, "annotations": []}
{"role": "volunteer", "content": "Oh, you got numbers. OK.", "session_id": 6194, "sequence_id": 108, "annotations": []}
{"role": "student", "content": "Yeah.", "session_id": 6194, "sequence_id": 109, "annotations": []}
{"role": "volunteer", "content": "So this is 54.", "session_id": 6194, "sequence_id": 110, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 6194, "sequence_id": 111, "annotations": []}
{"role": "student", "content": "And that's too sorry. Uh, it, it's hard to.", "session_id": 6194, "sequence_id": 112, "annotations": []}
{"role": "student", "content": "just", "session_id": 6194, "sequence_id": 113, "annotations": []}
{"role": "volunteer", "content": "How much is this one", "session_id": 6194, "sequence_id": 114, "annotations": []}
{"role": "student", "content": "Yeah, that's supposed to be 2 like you.", "session_id": 6194, "sequence_id": 115, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 6194, "sequence_id": 116, "annotations": []}
{"role": "volunteer", "content": "62 or 52?", "session_id": 6194, "sequence_id": 117, "annotations": []}
{"role": "student", "content": "No, that's just 2", "session_id": 6194, "sequence_id": 118, "annotations": []}
{"role": "volunteer", "content": "2", "session_id": 6194, "sequence_id": 119, "annotations": []}
{"role": "student", "content": "Yeah.", "session_id": 6194, "sequence_id": 120, "annotations": []}
{"role": "volunteer", "content": "angle 2", "session_id": 6194, "sequence_id": 121, "annotations": []}
{"role": "student", "content": "Yeah, and he has a number, um, has X +61 here.", "session_id": 6194, "sequence_id": 122, "annotations": []}
{"role": "volunteer", "content": "Is that 61 how X plus 6, how long this is?", "session_id": 6194, "sequence_id": 123, "annotations": []}
{"role": "student", "content": "Um, it has had the volume of X.", "session_id": 6194, "sequence_id": 124, "annotations": []}
{"role": "volunteer", "content": "OK. Do they have any information about this angle at the top?", "session_id": 6194, "sequence_id": 125, "annotations": []}
{"role": "student", "content": "Um, it's this", "session_id": 6194, "sequence_id": 126, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 6194, "sequence_id": 127, "annotations": []}
{"role": "student", "content": "And this is what it says at the top", "session_id": 6194, "sequence_id": 128, "annotations": []}
{"role": "student", "content": "This, oh sorry.", "session_id": 6194, "sequence_id": 129, "annotations": []}
{"role": "volunteer", "content": "I've seen that the measure of ankle, I think the measure of angle 2 is X + 6.", "session_id": 6194, "sequence_id": 130, "annotations": []}
{"role": "volunteer", "content": "or X + 621.", "session_id": 6194, "sequence_id": 131, "annotations": []}
{"role": "student", "content": "Yeah, X 61.", "session_id": 6194, "sequence_id": 132, "annotations": []}
{"role": "volunteer", "content": "are they telling us", "session_id": 6194, "sequence_id": 133, "annotations": []}
{"role": "volunteer", "content": "that this angle", "session_id": 6194, "sequence_id": 134, "annotations": []}
{"role": "volunteer", "content": "and this angle are the same.", "session_id": 6194, "sequence_id": 135, "annotations": []}
{"role": "student", "content": "Um,", "session_id": 6194, "sequence_id": 136, "annotations": []}
{"role": "student", "content": "I, I, I, I, uh", "session_id": 6194, "sequence_id": 137, "annotations": []}
{"role": "student", "content": "It has to with the placeholders.", "session_id": 6194, "sequence_id": 138, "annotations": []}
{"role": "student", "content": "and I'll, I'll get that.", "session_id": 6194, "sequence_id": 139, "annotations": []}
{"role": "volunteer", "content": "I'm trying, OK, X was 61 is angle 2.", "session_id": 6194, "sequence_id": 140, "annotations": []}
{"role": "volunteer", "content": "What is the question", "session_id": 6194, "sequence_id": 141, "annotations": []}
{"role": "student", "content": "That's it. That's the whole thing.", "session_id": 6194, "sequence_id": 142, "annotations": []}
{"role": "volunteer", "content": "No, no, did they ask what kind of?", "session_id": 6194, "sequence_id": 143, "annotations": []}
{"role": "student", "content": "Oh, find the volume of X.", "session_id": 6194, "sequence_id": 144, "annotations": []}
{"role": "volunteer", "content": "find the value of eggs.", "session_id": 6194, "sequence_id": 145, "annotations": []}
{"role": "student", "content": "So, yeah, the body effects.", "session_id": 6194, "sequence_id": 146, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 6194, "sequence_id": 147, "annotations": []}
{"role": "volunteer", "content": "Now, you drew the arrows.", "session_id": 6194, "sequence_id": 148, "annotations": []}
{"role": "student", "content": "Wrong. That's a that's.", "session_id": 6194, "sequence_id": 149, "annotations": []}
{"role": "volunteer", "content": "Are the arrows there to help us?", "session_id": 6194, "sequence_id": 150, "annotations": []}
{"role": "student", "content": "I think", "session_id": 6194, "sequence_id": 151, "annotations": []}
{"role": "volunteer", "content": "OK. I'm gonna draw what I think is happening.", "session_id": 6194, "sequence_id": 152, "annotations": []}
{"role": "volunteer", "content": "that this angle is 54 degrees.", "session_id": 6194, "sequence_id": 153, "annotations": []}
{"role": "volunteer", "content": "and this angle is X", "session_id": 6194, "sequence_id": 154, "annotations": []}
{"role": "volunteer", "content": "+61.", "session_id": 6194, "sequence_id": 155, "annotations": []}
{"role": "volunteer", "content": "Now, am I missing anything that they put on the picture.", "session_id": 6194, "sequence_id": 156, "annotations": []}
{"role": "student", "content": "Yeah, the 2, which is the placeholder.", "session_id": 6194, "sequence_id": 157, "annotations": []}
{"role": "volunteer", "content": "What's a placeholder", "session_id": 6194, "sequence_id": 158, "annotations": []}
{"role": "student", "content": "I I don't know. She, my teacher just put it there. And so", "session_id": 6194, "sequence_id": 159, "annotations": []}
{"role": "student", "content": "it's", "session_id": 6194, "sequence_id": 160, "annotations": []}
{"role": "student", "content": "So how do you get it to how's the place over there?", "session_id": 6194, "sequence_id": 161, "annotations": []}
{"role": "volunteer", "content": "Did they put, did they put any marks like this, the green marks.", "session_id": 6194, "sequence_id": 162, "annotations": []}
{"role": "student", "content": "Yes. Yes.", "session_id": 6194, "sequence_id": 163, "annotations": []}
{"role": "volunteer", "content": "Then you have to share that with me.", "session_id": 6194, "sequence_id": 164, "annotations": []}
{"role": "student", "content": "Of course", "session_id": 6194, "sequence_id": 165, "annotations": []}
{"role": "volunteer", "content": "So, the green mark says this is an assosceles triangle.", "session_id": 6194, "sequence_id": 166, "annotations": []}
{"role": "student", "content": "Well I do, it means to come.", "session_id": 6194, "sequence_id": 167, "annotations": []}
{"role": "volunteer", "content": "in an assosceles triangle.", "session_id": 6194, "sequence_id": 168, "annotations": []}
{"role": "volunteer", "content": "If these two sides are equal.", "session_id": 6194, "sequence_id": 169, "annotations": []}
{"role": "volunteer", "content": "then these two angles are equal.", "session_id": 6194, "sequence_id": 170, "annotations": []}
{"role": "student", "content": "I see, yes", "session_id": 6194, "sequence_id": 171, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 6194, "sequence_id": 172, "annotations": []}
{"role": "student", "content": "OK", "session_id": 6194, "sequence_id": 173, "annotations": []}
{"role": "volunteer", "content": "Which means X +61 equals 54.", "session_id": 6194, "sequence_id": 174, "annotations": []}
{"role": "volunteer", "content": "Can you write that equation?", "session_id": 6194, "sequence_id": 175, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 6194, "sequence_id": 176, "annotations": []}
{"role": "volunteer", "content": "Good. How do we solve for X?", "session_id": 6194, "sequence_id": 177, "annotations": []}
{"role": "volunteer", "content": "Good", "session_id": 6194, "sequence_id": 178, "annotations": []}
{"role": "student", "content": "We subtract like6 to 1", "session_id": 6194, "sequence_id": 179, "annotations": []}
{"role": "student", "content": "61", "session_id": 6194, "sequence_id": 180, "annotations": []}
{"role": "student", "content": "The, yeah, they make it sound.", "session_id": 6194, "sequence_id": 181, "annotations": []}
{"role": "student", "content": "Do you want me to continue?", "session_id": 6194, "sequence_id": 182, "annotations": []}
{"role": "volunteer", "content": "Sure", "session_id": 6194, "sequence_id": 183, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 6194, "sequence_id": 184, "annotations": []}
{"role": "student", "content": "All right", "session_id": 6194, "sequence_id": 185, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 6194, "sequence_id": 186, "annotations": []}
{"role": "student", "content": "um", "session_id": 6194, "sequence_id": 187, "annotations": []}
{"role": "student", "content": "they don't have a calculator on this thing.", "session_id": 6194, "sequence_id": 188, "annotations": []}
{"role": "volunteer", "content": "OK, we can do it here. 61.", "session_id": 6194, "sequence_id": 189, "annotations": []}
{"role": "volunteer", "content": "tract 54.", "session_id": 6194, "sequence_id": 190, "annotations": []}
{"role": "student", "content": "Um, that", "session_id": 6194, "sequence_id": 191, "annotations": []}
{"role": "student", "content": "oh, I thought we do 54 minus 61.", "session_id": 6194, "sequence_id": 192, "annotations": []}
{"role": "volunteer", "content": "Well, you have to put the larger number on top, even though it's negative.", "session_id": 6194, "sequence_id": 193, "annotations": []}
{"role": "student", "content": "Um", "session_id": 6194, "sequence_id": 194, "annotations": []}
{"role": "student", "content": "my teacher, um, she put it like that, and we got a negative. I don't know.", "session_id": 6194, "sequence_id": 195, "annotations": []}
{"role": "volunteer", "content": "Right, you're gonna get negative.", "session_id": 6194, "sequence_id": 196, "annotations": []}
{"role": "student", "content": "I'll be a -7.", "session_id": 6194, "sequence_id": 197, "annotations": []}
{"role": "volunteer", "content": "7, yes, X equals -7. Good.", "session_id": 6194, "sequence_id": 198, "annotations": []}
{"role": "volunteer", "content": "That's right", "session_id": 6194, "sequence_id": 199, "annotations": []}
{"role": "volunteer", "content": "Because we had information saying this is an assosceles triangle.", "session_id": 6194, "sequence_id": 200, "annotations": []}
{"role": "student", "content": "I.", "session_id": 6194, "sequence_id": 201, "annotations": []}
{"role": "student", "content": "Yeah.", "session_id": 6194, "sequence_id": 202, "annotations": []}
{"role": "volunteer", "content": "with slides are equal, that means the angles.", "session_id": 6194, "sequence_id": 203, "annotations": []}
{"role": "volunteer", "content": "opposite those sides are equal.", "session_id": 6194, "sequence_id": 204, "annotations": []}
{"role": "student", "content": "So let me get this is only, um, isosceles triangles have like the same diagram.", "session_id": 6194, "sequence_id": 205, "annotations": []}
{"role": "volunteer", "content": "Right, now", "session_id": 6194, "sequence_id": 206, "annotations": []}
{"role": "student", "content": "So what will", "session_id": 6194, "sequence_id": 207, "annotations": []}
{"role": "volunteer", "content": "times, sometimes they might draw it like this.", "session_id": 6194, "sequence_id": 208, "annotations": []}
{"role": "volunteer", "content": "And this is marked equal.", "session_id": 6194, "sequence_id": 209, "annotations": []}
{"role": "volunteer", "content": "Do you know which angles are equal if I turn the triangle a little bit wacky.", "session_id": 6194, "sequence_id": 210, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 6194, "sequence_id": 211, "annotations": []}
{"role": "volunteer", "content": "Which angles are equal", "session_id": 6194, "sequence_id": 212, "annotations": []}
{"role": "student", "content": "So", "session_id": 6194, "sequence_id": 213, "annotations": []}
{"role": "student", "content": "it's, this hurts.", "session_id": 6194, "sequence_id": 214, "annotations": []}
{"role": "student", "content": "Yes, and, and this mean taking it up.", "session_id": 6194, "sequence_id": 215, "annotations": []}
{"role": "volunteer", "content": "If this", "session_id": 6194, "sequence_id": 216, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 6194, "sequence_id": 217, "annotations": []}
{"role": "student", "content": "This one and this.", "session_id": 6194, "sequence_id": 218, "annotations": []}
{"role": "volunteer", "content": "go opposite", "session_id": 6194, "sequence_id": 219, "annotations": []}
{"role": "volunteer", "content": "go opposite", "session_id": 6194, "sequence_id": 220, "annotations": []}
{"role": "student", "content": "let me see.", "session_id": 6194, "sequence_id": 221, "annotations": []}
{"role": "volunteer", "content": "These are the two angles they're equal.", "session_id": 6194, "sequence_id": 222, "annotations": []}
{"role": "student", "content": "Hm", "session_id": 6194, "sequence_id": 223, "annotations": []}
{"role": "volunteer", "content": "So it might not always be sitting like this.", "session_id": 6194, "sequence_id": 224, "annotations": []}
{"role": "volunteer", "content": "Sometimes the triangle can be sideways.", "session_id": 6194, "sequence_id": 225, "annotations": []}
{"role": "student", "content": "Mhm.", "session_id": 6194, "sequence_id": 226, "annotations": []}
{"role": "student", "content": "OK", "session_id": 6194, "sequence_id": 227, "annotations": []}
{"role": "student", "content": "What if it's a uh", "session_id": 6194, "sequence_id": 228, "annotations": []}
{"role": "student", "content": "equilateral triangle, like with the same example, would it be something like this", "session_id": 6194, "sequence_id": 229, "annotations": []}
{"role": "student", "content": "and", "session_id": 6194, "sequence_id": 230, "annotations": []}
{"role": "student", "content": "um", "session_id": 6194, "sequence_id": 231, "annotations": []}
{"role": "volunteer", "content": "All the sides are equal, and guess what, all the angles are equal.", "session_id": 6194, "sequence_id": 232, "annotations": []}
{"role": "student", "content": "Now, would there be something like this?", "session_id": 6194, "sequence_id": 233, "annotations": []}
{"role": "volunteer", "content": "Oh.", "session_id": 6194, "sequence_id": 234, "annotations": []}
{"role": "volunteer", "content": "Now", "session_id": 6194, "sequence_id": 235, "annotations": []}
{"role": "volunteer", "content": "wait a minute", "session_id": 6194, "sequence_id": 236, "annotations": []}
{"role": "volunteer", "content": "You drew a triangle.", "session_id": 6194, "sequence_id": 237, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 6194, "sequence_id": 238, "annotations": []}
{"role": "volunteer", "content": "and you put two marks here or 3 marks?", "session_id": 6194, "sequence_id": 239, "annotations": []}
{"role": "student", "content": "See.", "session_id": 6194, "sequence_id": 240, "annotations": []}
{"role": "volunteer", "content": "And you put 3 marks here.", "session_id": 6194, "sequence_id": 241, "annotations": []}
{"role": "student", "content": "Yeah.", "session_id": 6194, "sequence_id": 242, "annotations": []}
{"role": "student", "content": "Yeah, would you have like the uh", "session_id": 6194, "sequence_id": 243, "annotations": []}
{"role": "volunteer", "content": "Which angles are gonna be equal.", "session_id": 6194, "sequence_id": 244, "annotations": []}
{"role": "student", "content": "OK. I, I don't know. I just made that up.", "session_id": 6194, "sequence_id": 245, "annotations": []}
{"role": "volunteer", "content": "Oh, you made it up, watch.", "session_id": 6194, "sequence_id": 246, "annotations": []}
{"role": "volunteer", "content": "this angle", "session_id": 6194, "sequence_id": 247, "annotations": []}
{"role": "student", "content": "Oh.", "session_id": 6194, "sequence_id": 248, "annotations": []}
{"role": "volunteer", "content": "and that angle", "session_id": 6194, "sequence_id": 249, "annotations": []}
{"role": "student", "content": "I", "session_id": 6194, "sequence_id": 250, "annotations": []}
{"role": "student", "content": "Oh, so the opposite side is gonna be equal.", "session_id": 6194, "sequence_id": 251, "annotations": []}
{"role": "volunteer", "content": "Yes, that's right.", "session_id": 6194, "sequence_id": 252, "annotations": []}
{"role": "student", "content": "OK", "session_id": 6194, "sequence_id": 253, "annotations": []}
{"role": "volunteer", "content": "So it's not gonna always be like this one.", "session_id": 6194, "sequence_id": 254, "annotations": []}
{"role": "student", "content": "OK", "session_id": 6194, "sequence_id": 255, "annotations": []}
{"role": "volunteer", "content": "It can be like this.", "session_id": 6194, "sequence_id": 256, "annotations": []}
{"role": "volunteer", "content": "Yeah.", "session_id": 6194, "sequence_id": 257, "annotations": []}
{"role": "student", "content": "And it'll be like the same solution.", "session_id": 6194, "sequence_id": 258, "annotations": []}
{"role": "volunteer", "content": "Mhm. That's right.", "session_id": 6194, "sequence_id": 259, "annotations": []}
{"role": "volunteer", "content": "Now, sometimes", "session_id": 6194, "sequence_id": 260, "annotations": []}
{"role": "volunteer", "content": "they're gonna tell you this angle.", "session_id": 6194, "sequence_id": 261, "annotations": []}
{"role": "volunteer", "content": "and ask you to find this angle.", "session_id": 6194, "sequence_id": 262, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 6194, "sequence_id": 263, "annotations": []}
{"role": "student", "content": "Can you help me with that", "session_id": 6194, "sequence_id": 264, "annotations": []}
{"role": "volunteer", "content": "Here's the deal", "session_id": 6194, "sequence_id": 265, "annotations": []}
{"role": "volunteer", "content": "this angle", "session_id": 6194, "sequence_id": 266, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 6194, "sequence_id": 267, "annotations": []}
{"role": "volunteer", "content": "and this angle are equal, aren't they?", "session_id": 6194, "sequence_id": 268, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 6194, "sequence_id": 269, "annotations": []}
{"role": "volunteer", "content": "That makes this angle X because it's supposed to be the same as that one.", "session_id": 6194, "sequence_id": 270, "annotations": []}
{"role": "student", "content": "Mhm", "session_id": 6194, "sequence_id": 271, "annotations": []}
{"role": "volunteer", "content": "And then my equation would be all three ankles.", "session_id": 6194, "sequence_id": 272, "annotations": []}
{"role": "volunteer", "content": "all three angles add up", "session_id": 6194, "sequence_id": 273, "annotations": []}
{"role": "volunteer", "content": "to what? Hmm.", "session_id": 6194, "sequence_id": 274, "annotations": []}
{"role": "student", "content": "40", "session_id": 6194, "sequence_id": 275, "annotations": []}
{"role": "student", "content": "Oh", "session_id": 6194, "sequence_id": 276, "annotations": []}
{"role": "volunteer", "content": "No, what did the angles in one triangle add up to?", "session_id": 6194, "sequence_id": 277, "annotations": []}
{"role": "student", "content": "180", "session_id": 6194, "sequence_id": 278, "annotations": []}
{"role": "volunteer", "content": "There you go. I've added all three angles.", "session_id": 6194, "sequence_id": 279, "annotations": []}
{"role": "volunteer", "content": "angle 1, angle 2, angle 3.", "session_id": 6194, "sequence_id": 280, "annotations": []}
{"role": "student", "content": "So will that be 2 eggs plus 40 equals.", "session_id": 6194, "sequence_id": 281, "annotations": []}
{"role": "volunteer", "content": "Hm, mhm.", "session_id": 6194, "sequence_id": 282, "annotations": []}
{"role": "student", "content": "That would be 2x + 40 = 180.", "session_id": 6194, "sequence_id": 283, "annotations": []}
{"role": "student", "content": "OK, so you're just gonna OK. That'll be too ex40.", "session_id": 6194, "sequence_id": 284, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 6194, "sequence_id": 285, "annotations": []}
{"role": "student", "content": "Oh, we have to put this scriber. It starts at 4:10, but We did this, um,", "session_id": 6194, "sequence_id": 286, "annotations": []}
{"role": "student", "content": "I don't know my teacher said you can also use that like where you put the eggs.", "session_id": 6194, "sequence_id": 287, "annotations": []}
{"role": "student", "content": "um", "session_id": 6194, "sequence_id": 288, "annotations": []}
{"role": "volunteer", "content": "OK, that's square root. We're not working with that right now, but did you have some of those?", "session_id": 6194, "sequence_id": 289, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 6194, "sequence_id": 290, "annotations": []}
{"role": "volunteer", "content": "Like the square root is 16 is 4.", "session_id": 6194, "sequence_id": 291, "annotations": []}
{"role": "student", "content": "Mhm.", "session_id": 6194, "sequence_id": 292, "annotations": []}
{"role": "volunteer", "content": "We you", "session_id": 6194, "sequence_id": 293, "annotations": []}
{"role": "volunteer", "content": "you working with", "session_id": 6194, "sequence_id": 294, "annotations": []}
{"role": "volunteer", "content": "a", "session_id": 6194, "sequence_id": 295, "annotations": []}
{"role": "student", "content": "I had that in a.", "session_id": 6194, "sequence_id": 296, "annotations": []}
{"role": "volunteer", "content": "were you working with a right triangle when you did that?", "session_id": 6194, "sequence_id": 297, "annotations": []}
{"role": "student", "content": "Yeah.", "session_id": 6194, "sequence_id": 298, "annotations": []}
{"role": "volunteer", "content": "You're probably using Pythagorean which says leg squared.", "session_id": 6194, "sequence_id": 299, "annotations": []}
{"role": "volunteer", "content": "just", "session_id": 6194, "sequence_id": 300, "annotations": []}
{"role": "volunteer", "content": "like", "session_id": 6194, "sequence_id": 301, "annotations": []}
{"role": "student", "content": "It's must be a.", "session_id": 6194, "sequence_id": 302, "annotations": []}
{"role": "volunteer", "content": "equals a hot mood squared, and the hypotenuse is the side opposite", "session_id": 6194, "sequence_id": 303, "annotations": []}
{"role": "volunteer", "content": "the right angle", "session_id": 6194, "sequence_id": 304, "annotations": []}
{"role": "student", "content": "But how do you know, how do you know, um, what led to the exes, or you can just put any letter for it.", "session_id": 6194, "sequence_id": 305, "annotations": []}
{"role": "volunteer", "content": "Right, um", "session_id": 6194, "sequence_id": 306, "annotations": []}
{"role": "volunteer", "content": "let me erase that for a minute. Um,", "session_id": 6194, "sequence_id": 307, "annotations": []}
{"role": "volunteer", "content": "OK. So if we have a triangle.", "session_id": 6194, "sequence_id": 308, "annotations": []}
{"role": "volunteer", "content": "Oops, terrible", "session_id": 6194, "sequence_id": 309, "annotations": []}
{"role": "student", "content": "I.", "session_id": 6194, "sequence_id": 310, "annotations": []}
{"role": "volunteer", "content": "This 3 and this is 4, and I want you to find X. You're really looking for the sea, aren't you?", "session_id": 6194, "sequence_id": 311, "annotations": []}
{"role": "student", "content": "Yeah.", "session_id": 6194, "sequence_id": 312, "annotations": []}
{"role": "volunteer", "content": "X and C is the same thing.", "session_id": 6194, "sequence_id": 313, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 6194, "sequence_id": 314, "annotations": []}
{"role": "volunteer", "content": "Does it matter if I do 3 squad or do I have to start with 4 squared.", "session_id": 6194, "sequence_id": 315, "annotations": []}
{"role": "student", "content": "Uh, I think it doesn't matter.", "session_id": 6194, "sequence_id": 316, "annotations": []}
{"role": "volunteer", "content": "It doesn't matter, right?", "session_id": 6194, "sequence_id": 317, "annotations": []}
{"role": "student", "content": "No", "session_id": 6194, "sequence_id": 318, "annotations": []}
{"role": "volunteer", "content": "The legs are the part that", "session_id": 6194, "sequence_id": 319, "annotations": []}
{"role": "volunteer", "content": "make the right angle.", "session_id": 6194, "sequence_id": 320, "annotations": []}
{"role": "student", "content": "OK", "session_id": 6194, "sequence_id": 321, "annotations": []}
{"role": "student", "content": "Oh, you get this one to go.", "session_id": 6194, "sequence_id": 322, "annotations": []}
{"role": "volunteer", "content": "OK. What is 3 squad?", "session_id": 6194, "sequence_id": 323, "annotations": []}
{"role": "student", "content": "Tabina", "session_id": 6194, "sequence_id": 324, "annotations": []}
{"role": "volunteer", "content": "and 42.", "session_id": 6194, "sequence_id": 325, "annotations": []}
{"role": "student", "content": "Um, 8, I", "session_id": 6194, "sequence_id": 326, "annotations": []}
{"role": "volunteer", "content": "not today, not today. Of course times 4.", "session_id": 6194, "sequence_id": 327, "annotations": []}
{"role": "volunteer", "content": "plus 9 + 16.", "session_id": 6194, "sequence_id": 328, "annotations": []}
{"role": "volunteer", "content": "Mhm", "session_id": 6194, "sequence_id": 329, "annotations": []}
{"role": "student", "content": "25.", "session_id": 6194, "sequence_id": 330, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 6194, "sequence_id": 331, "annotations": []}
{"role": "volunteer", "content": "You have 25. Do you do this?", "session_id": 6194, "sequence_id": 332, "annotations": []}
{"role": "volunteer", "content": "That's right", "session_id": 6194, "sequence_id": 333, "annotations": []}
{"role": "student", "content": "OK. So that'll be 5 acres.", "session_id": 6194, "sequence_id": 334, "annotations": []}
{"role": "volunteer", "content": "Am I change the numbers, OK?", "session_id": 6194, "sequence_id": 335, "annotations": []}
{"role": "student", "content": "OK. She gave us um one example where this, uh, where the X was like", "session_id": 6194, "sequence_id": 336, "annotations": []}
{"role": "student", "content": "A so, can I go like grab it quick?", "session_id": 6194, "sequence_id": 337, "annotations": []}
{"role": "volunteer", "content": "Sure", "session_id": 6194, "sequence_id": 338, "annotations": []}
{"role": "volunteer", "content": "I", "session_id": 6194, "sequence_id": 339, "annotations": []}
{"role": "volunteer", "content": "I", "session_id": 6194, "sequence_id": 340, "annotations": []}
{"role": "volunteer", "content": "I", "session_id": 6194, "sequence_id": 341, "annotations": []}
{"role": "volunteer", "content": "I", "session_id": 6194, "sequence_id": 342, "annotations": []}
{"role": "volunteer", "content": "I", "session_id": 6194, "sequence_id": 343, "annotations": []}
{"role": "volunteer", "content": "I", "session_id": 6194, "sequence_id": 344, "annotations": []}
{"role": "volunteer", "content": "I", "session_id": 6194, "sequence_id": 345, "annotations": []}
{"role": "volunteer", "content": "I", "session_id": 6194, "sequence_id": 346, "annotations": []}
{"role": "volunteer", "content": "I", "session_id": 6194, "sequence_id": 347, "annotations": []}
{"role": "volunteer", "content": "I", "session_id": 6194, "sequence_id": 348, "annotations": []}
{"role": "volunteer", "content": "I", "session_id": 6194, "sequence_id": 349, "annotations": []}
{"role": "volunteer", "content": "I", "session_id": 6194, "sequence_id": 350, "annotations": []}
{"role": "volunteer", "content": "I", "session_id": 6194, "sequence_id": 351, "annotations": []}
{"role": "student", "content": "I think she didn't get it yet. So I didn't get it back, but it was like this.", "session_id": 6194, "sequence_id": 352, "annotations": []}
{"role": "volunteer", "content": "I", "session_id": 6194, "sequence_id": 353, "annotations": []}
{"role": "student", "content": "It was something like this and then it had the numbers.", "session_id": 6194, "sequence_id": 354, "annotations": []}
{"role": "student", "content": "but", "session_id": 6194, "sequence_id": 355, "annotations": []}
{"role": "student", "content": "oh, what did I do?", "session_id": 6194, "sequence_id": 356, "annotations": []}
{"role": "volunteer", "content": "I", "session_id": 6194, "sequence_id": 357, "annotations": []}
{"role": "student", "content": "And then the sea wasn't um the, the number, the X was a C. It was like A.", "session_id": 6194, "sequence_id": 358, "annotations": []}
{"role": "student", "content": "I", "session_id": 6194, "sequence_id": 359, "annotations": []}
{"role": "student", "content": "I", "session_id": 6194, "sequence_id": 360, "annotations": []}
{"role": "student", "content": "I", "session_id": 6194, "sequence_id": 361, "annotations": []}
{"role": "student", "content": "That's what it was like.", "session_id": 6194, "sequence_id": 362, "annotations": []}
{"role": "student", "content": "The X wasn't The X wasn't, it wasn't um see it was A", "session_id": 6194, "sequence_id": 363, "annotations": []}
{"role": "volunteer", "content": "The capital letters named the vertex.", "session_id": 6194, "sequence_id": 364, "annotations": []}
{"role": "volunteer", "content": "The capital letters named the vertex.", "session_id": 6194, "sequence_id": 365, "annotations": []}
{"role": "volunteer", "content": "So are you saying", "session_id": 6194, "sequence_id": 366, "annotations": []}
{"role": "volunteer", "content": "this was an A right here?", "session_id": 6194, "sequence_id": 367, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 6194, "sequence_id": 368, "annotations": []}
{"role": "volunteer", "content": "So it's, it could be a", "session_id": 6194, "sequence_id": 369, "annotations": []}
{"role": "volunteer", "content": "it could be X, it could be C.", "session_id": 6194, "sequence_id": 370, "annotations": []}
{"role": "volunteer", "content": "You're still gonna write.", "session_id": 6194, "sequence_id": 371, "annotations": []}
{"role": "volunteer", "content": "flag squared.", "session_id": 6194, "sequence_id": 372, "annotations": []}
{"role": "student", "content": "All right.", "session_id": 6194, "sequence_id": 373, "annotations": []}
{"role": "volunteer", "content": "plus legs squared.", "session_id": 6194, "sequence_id": 374, "annotations": []}
{"role": "volunteer", "content": "equals", "session_id": 6194, "sequence_id": 375, "annotations": []}
{"role": "volunteer", "content": "hypotenuse squared.", "session_id": 6194, "sequence_id": 376, "annotations": []}
{"role": "student", "content": "No.", "session_id": 6194, "sequence_id": 377, "annotations": []}
{"role": "volunteer", "content": "Would you like to try one?", "session_id": 6194, "sequence_id": 378, "annotations": []}
{"role": "student", "content": "Yes, please", "session_id": 6194, "sequence_id": 379, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 6194, "sequence_id": 380, "annotations": []}
{"role": "student", "content": "Ito is having it.", "session_id": 6194, "sequence_id": 381, "annotations": []}
{"role": "student", "content": "Oh you can", "session_id": 6194, "sequence_id": 382, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 6194, "sequence_id": 383, "annotations": []}
{"role": "volunteer", "content": "I'm gonna put different numbers.", "session_id": 6194, "sequence_id": 384, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 6194, "sequence_id": 385, "annotations": []}
{"role": "student", "content": "Oh.", "session_id": 6194, "sequence_id": 386, "annotations": []}
{"role": "volunteer", "content": "I can call it A. I can call it X. It's what you're solving for, right?", "session_id": 6194, "sequence_id": 387, "annotations": []}
{"role": "student", "content": "Yes.", "session_id": 6194, "sequence_id": 388, "annotations": []}
{"role": "volunteer", "content": "Well", "session_id": 6194, "sequence_id": 389, "annotations": []}
{"role": "student", "content": "But um what would be the A no number.", "session_id": 6194, "sequence_id": 390, "annotations": []}
{"role": "student", "content": "So just", "session_id": 6194, "sequence_id": 391, "annotations": []}
{"role": "student", "content": "I", "session_id": 6194, "sequence_id": 392, "annotations": []}
{"role": "volunteer", "content": "you're so, you're solving that.", "session_id": 6194, "sequence_id": 393, "annotations": []}
{"role": "student", "content": "um, some, OK.", "session_id": 6194, "sequence_id": 394, "annotations": []}
{"role": "student", "content": "Oh.", "session_id": 6194, "sequence_id": 395, "annotations": []}
{"role": "student", "content": "Oh, I'm kind of confused.", "session_id": 6194, "sequence_id": 396, "annotations": []}
{"role": "volunteer", "content": "OK.", "session_id": 6194, "sequence_id": 397, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 6194, "sequence_id": 398, "annotations": []}
{"role": "student", "content": "because there's no number for the A, so I, I, there's nothing for me to put for the.", "session_id": 6194, "sequence_id": 399, "annotations": []}
{"role": "volunteer", "content": "OK. The, the formula says", "session_id": 6194, "sequence_id": 400, "annotations": []}
{"role": "volunteer", "content": "if I don't say A, B, C, I could say leg squared.", "session_id": 6194, "sequence_id": 401, "annotations": []}
{"role": "student", "content": "OK", "session_id": 6194, "sequence_id": 402, "annotations": []}
{"role": "volunteer", "content": "plus leg square equals hypotenuse squared, right?", "session_id": 6194, "sequence_id": 403, "annotations": []}
{"role": "student", "content": "Mhm", "session_id": 6194, "sequence_id": 404, "annotations": []}
{"role": "volunteer", "content": "So", "session_id": 6194, "sequence_id": 405, "annotations": []}
{"role": "volunteer", "content": "this is a leg", "session_id": 6194, "sequence_id": 406, "annotations": []}
{"role": "volunteer", "content": "Where's the other leg", "session_id": 6194, "sequence_id": 407, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 6194, "sequence_id": 408, "annotations": []}
{"role": "student", "content": "And then this one.", "session_id": 6194, "sequence_id": 409, "annotations": []}
{"role": "volunteer", "content": "This is the leg", "session_id": 6194, "sequence_id": 410, "annotations": []}
{"role": "student", "content": "I", "session_id": 6194, "sequence_id": 411, "annotations": []}
{"role": "volunteer", "content": "This is a leg", "session_id": 6194, "sequence_id": 412, "annotations": []}
{"role": "student", "content": "no.", "session_id": 6194, "sequence_id": 413, "annotations": []}
{"role": "student", "content": "thing about this and you say So the family will be a^2 + b^2 to c^2.", "session_id": 6194, "sequence_id": 414, "annotations": []}
{"role": "volunteer", "content": "Mhm", "session_id": 6194, "sequence_id": 415, "annotations": []}
{"role": "student", "content": "Oh, OK. That's how soon she is.", "session_id": 6194, "sequence_id": 416, "annotations": []}
{"role": "volunteer", "content": "And what", "session_id": 6194, "sequence_id": 417, "annotations": []}
{"role": "student", "content": "I thought I'll have to go that way.", "session_id": 6194, "sequence_id": 418, "annotations": []}
{"role": "volunteer", "content": "and what is 6 squad?", "session_id": 6194, "sequence_id": 419, "annotations": []}
{"role": "student", "content": "36", "session_id": 6194, "sequence_id": 420, "annotations": []}
{"role": "volunteer", "content": "What is 82.", "session_id": 6194, "sequence_id": 421, "annotations": []}
{"role": "student", "content": "um 64.", "session_id": 6194, "sequence_id": 422, "annotations": []}
{"role": "volunteer", "content": "We still keep our equation.", "session_id": 6194, "sequence_id": 423, "annotations": []}
{"role": "volunteer", "content": "36 + 64.", "session_id": 6194, "sequence_id": 424, "annotations": []}
{"role": "student", "content": "That would be 100.", "session_id": 6194, "sequence_id": 425, "annotations": []}
{"role": "volunteer", "content": "100", "session_id": 6194, "sequence_id": 426, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 6194, "sequence_id": 427, "annotations": []}
{"role": "volunteer", "content": "equals C^2.", "session_id": 6194, "sequence_id": 428, "annotations": []}
{"role": "student", "content": "Good.", "session_id": 6194, "sequence_id": 429, "annotations": []}
{"role": "volunteer", "content": "And so when we have that little square thing.", "session_id": 6194, "sequence_id": 430, "annotations": []}
{"role": "volunteer", "content": "We draw the square root.", "session_id": 6194, "sequence_id": 431, "annotations": []}
{"role": "volunteer", "content": "What's the square root of 100?", "session_id": 6194, "sequence_id": 432, "annotations": []}
{"role": "student", "content": "OK", "session_id": 6194, "sequence_id": 433, "annotations": []}
{"role": "volunteer", "content": "So the whole partners is 10.", "session_id": 6194, "sequence_id": 434, "annotations": []}
{"role": "student", "content": "So 10 res A. So it's based on what the", "session_id": 6194, "sequence_id": 435, "annotations": []}
{"role": "student", "content": "what this is. That's how it had this, we have to set the uh the formula.", "session_id": 6194, "sequence_id": 436, "annotations": []}
{"role": "volunteer", "content": "Yes", "session_id": 6194, "sequence_id": 437, "annotations": []}
{"role": "student", "content": "OK", "session_id": 6194, "sequence_id": 438, "annotations": []}
{"role": "volunteer", "content": "Now, sometimes you're not gonna be asked.", "session_id": 6194, "sequence_id": 439, "annotations": []}
{"role": "volunteer", "content": "to find", "session_id": 6194, "sequence_id": 440, "annotations": []}
{"role": "volunteer", "content": "Oh, that's terrible. I gotta draw that in.", "session_id": 6194, "sequence_id": 441, "annotations": []}
{"role": "student", "content": "Then.", "session_id": 6194, "sequence_id": 442, "annotations": []}
{"role": "student", "content": "the", "session_id": 6194, "sequence_id": 443, "annotations": []}
{"role": "volunteer", "content": "This is the hypotenuse, isn't it?", "session_id": 6194, "sequence_id": 444, "annotations": []}
{"role": "student", "content": "Mhm", "session_id": 6194, "sequence_id": 445, "annotations": []}
{"role": "volunteer", "content": "And the other two parts are the leg.", "session_id": 6194, "sequence_id": 446, "annotations": []}
{"role": "student", "content": "Yeah, that's true.", "session_id": 6194, "sequence_id": 447, "annotations": []}
{"role": "volunteer", "content": "So what would be our equation this time.", "session_id": 6194, "sequence_id": 448, "annotations": []}
{"role": "student", "content": "Mhm", "session_id": 6194, "sequence_id": 449, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 6194, "sequence_id": 450, "annotations": []}
{"role": "volunteer", "content": "Which parts of the triangle.", "session_id": 6194, "sequence_id": 451, "annotations": []}
{"role": "volunteer", "content": "are legs.", "session_id": 6194, "sequence_id": 452, "annotations": []}
{"role": "student", "content": "Mhm.", "session_id": 6194, "sequence_id": 453, "annotations": []}
{"role": "volunteer", "content": "But wait a minute. All right, hold on.", "session_id": 6194, "sequence_id": 454, "annotations": []}
{"role": "volunteer", "content": "This is C", "session_id": 6194, "sequence_id": 455, "annotations": []}
{"role": "volunteer", "content": "If you're doing ABC", "session_id": 6194, "sequence_id": 456, "annotations": []}
{"role": "volunteer", "content": "side opposite the right angle is always C.", "session_id": 6194, "sequence_id": 457, "annotations": []}
{"role": "student", "content": "Oh", "session_id": 6194, "sequence_id": 458, "annotations": []}
{"role": "student", "content": "I thought it, it didn't matter. I can just put a.", "session_id": 6194, "sequence_id": 459, "annotations": []}
{"role": "volunteer", "content": "Doesn't matter about the A and the B.", "session_id": 6194, "sequence_id": 460, "annotations": []}
{"role": "student", "content": "OK", "session_id": 6194, "sequence_id": 461, "annotations": []}
{"role": "volunteer", "content": "You still would have A and B, OK?", "session_id": 6194, "sequence_id": 462, "annotations": []}
{"role": "student", "content": "I.", "session_id": 6194, "sequence_id": 463, "annotations": []}
{"role": "student", "content": "Um", "session_id": 6194, "sequence_id": 464, "annotations": []}
{"role": "student", "content": "Yeah.", "session_id": 6194, "sequence_id": 465, "annotations": []}
{"role": "student", "content": "It's kind of confusing for me when I put the eggs before the other numbers.", "session_id": 6194, "sequence_id": 466, "annotations": []}
{"role": "student", "content": "Is it", "session_id": 6194, "sequence_id": 467, "annotations": []}
{"role": "volunteer", "content": "And I can, yeah, this can be egg or B or whatever variable they're drawing on the board.", "session_id": 6194, "sequence_id": 468, "annotations": []}
{"role": "student", "content": "So if I do it like this? If I uh do the formula like this.", "session_id": 6194, "sequence_id": 469, "annotations": []}
{"role": "volunteer", "content": "You just can't put C here.", "session_id": 6194, "sequence_id": 470, "annotations": []}
{"role": "student", "content": "OK", "session_id": 6194, "sequence_id": 471, "annotations": []}
{"role": "volunteer", "content": "C is always the hypotenuse.", "session_id": 6194, "sequence_id": 472, "annotations": []}
{"role": "student", "content": "Just.", "session_id": 6194, "sequence_id": 473, "annotations": []}
{"role": "volunteer", "content": "and it's gonna be by itself.", "session_id": 6194, "sequence_id": 474, "annotations": []}
{"role": "volunteer", "content": "over here", "session_id": 6194, "sequence_id": 475, "annotations": []}
{"role": "student", "content": "OK", "session_id": 6194, "sequence_id": 476, "annotations": []}
{"role": "student", "content": "I.", "session_id": 6194, "sequence_id": 477, "annotations": []}
{"role": "volunteer", "content": "Good", "session_id": 6194, "sequence_id": 478, "annotations": []}
{"role": "volunteer", "content": "That's right", "session_id": 6194, "sequence_id": 479, "annotations": []}
{"role": "student", "content": "I", "session_id": 6194, "sequence_id": 480, "annotations": []}
{"role": "student", "content": "I", "session_id": 6194, "sequence_id": 481, "annotations": []}
{"role": "volunteer", "content": "12 x 12.", "session_id": 6194, "sequence_id": 482, "annotations": []}
{"role": "student", "content": "I", "session_id": 6194, "sequence_id": 483, "annotations": []}
{"role": "volunteer", "content": "12 times 12.", "session_id": 6194, "sequence_id": 484, "annotations": []}
{"role": "volunteer", "content": "It's 144.", "session_id": 6194, "sequence_id": 485, "annotations": []}
{"role": "student", "content": "I keep added that my phone.", "session_id": 6194, "sequence_id": 486, "annotations": []}
{"role": "volunteer", "content": "That's 169.", "session_id": 6194, "sequence_id": 487, "annotations": []}
{"role": "student", "content": "OK", "session_id": 6194, "sequence_id": 488, "annotations": []}
{"role": "volunteer", "content": "Good", "session_id": 6194, "sequence_id": 489, "annotations": []}
{"role": "volunteer", "content": "Good", "session_id": 6194, "sequence_id": 490, "annotations": []}
{"role": "student", "content": "Oh, the", "session_id": 6194, "sequence_id": 491, "annotations": []}
{"role": "student", "content": "Do I have to do like this?", "session_id": 6194, "sequence_id": 492, "annotations": []}
{"role": "volunteer", "content": "Subtract 144", "session_id": 6194, "sequence_id": 493, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 6194, "sequence_id": 494, "annotations": []}
{"role": "volunteer", "content": "And I will tell you, you usually will put", "session_id": 6194, "sequence_id": 495, "annotations": []}
{"role": "volunteer", "content": "the line", "session_id": 6194, "sequence_id": 496, "annotations": []}
{"role": "volunteer", "content": "underneath", "session_id": 6194, "sequence_id": 497, "annotations": []}
{"role": "volunteer", "content": "the negative. You're not going to put um", "session_id": 6194, "sequence_id": 498, "annotations": []}
{"role": "volunteer", "content": "the line here", "session_id": 6194, "sequence_id": 499, "annotations": []}
{"role": "student", "content": "OK", "session_id": 6194, "sequence_id": 500, "annotations": []}
{"role": "student", "content": "One", "session_id": 6194, "sequence_id": 501, "annotations": []}
{"role": "volunteer", "content": "That would work if you were dividing, OK?", "session_id": 6194, "sequence_id": 502, "annotations": []}
{"role": "student", "content": "OK", "session_id": 6194, "sequence_id": 503, "annotations": []}
{"role": "volunteer", "content": "OK, wait a minute. Wait a minute, wait a minute.", "session_id": 6194, "sequence_id": 504, "annotations": []}
{"role": "volunteer", "content": "I got to draw a line in the middle.", "session_id": 6194, "sequence_id": 505, "annotations": []}
{"role": "volunteer", "content": "I got to draw a line down the middle.", "session_id": 6194, "sequence_id": 506, "annotations": []}
{"role": "volunteer", "content": "We're doing the same thing to the left side that we're doing to the right side.", "session_id": 6194, "sequence_id": 507, "annotations": []}
{"role": "student", "content": "I.", "session_id": 6194, "sequence_id": 508, "annotations": []}
{"role": "volunteer", "content": "I know what you did. It's not illegal, OK? I just wanted you to realize", "session_id": 6194, "sequence_id": 509, "annotations": []}
{"role": "student", "content": "Mhm", "session_id": 6194, "sequence_id": 510, "annotations": []}
{"role": "volunteer", "content": "if I'm following the format", "session_id": 6194, "sequence_id": 511, "annotations": []}
{"role": "student", "content": "Mm.", "session_id": 6194, "sequence_id": 512, "annotations": []}
{"role": "volunteer", "content": "the right-hand side is 25, isn't it?", "session_id": 6194, "sequence_id": 513, "annotations": []}
{"role": "student", "content": "Mhm. Oh, thanks.", "session_id": 6194, "sequence_id": 514, "annotations": []}
{"role": "student", "content": "I", "session_id": 6194, "sequence_id": 515, "annotations": []}
{"role": "student", "content": "Do I still have to put the XO, OK.", "session_id": 6194, "sequence_id": 516, "annotations": []}
{"role": "student", "content": "To be X Aro.", "session_id": 6194, "sequence_id": 517, "annotations": []}
{"role": "student", "content": "I'm sure you're lucky to be around a forest.", "session_id": 6194, "sequence_id": 518, "annotations": []}
{"role": "volunteer", "content": "There we go", "session_id": 6194, "sequence_id": 519, "annotations": []}
{"role": "volunteer", "content": "That's correct", "session_id": 6194, "sequence_id": 520, "annotations": []}
{"role": "student", "content": "that", "session_id": 6194, "sequence_id": 521, "annotations": []}
{"role": "volunteer", "content": "Mm.", "session_id": 6194, "sequence_id": 522, "annotations": []}
{"role": "student", "content": "Despite still confused me, though.", "session_id": 6194, "sequence_id": 523, "annotations": []}
{"role": "student", "content": "Like despot.", "session_id": 6194, "sequence_id": 524, "annotations": []}
{"role": "volunteer", "content": "OK. Let me throw another one and you just write the equation.", "session_id": 6194, "sequence_id": 525, "annotations": []}
{"role": "student", "content": "I", "session_id": 6194, "sequence_id": 526, "annotations": []}
{"role": "student", "content": "just", "session_id": 6194, "sequence_id": 527, "annotations": []}
{"role": "student", "content": "with", "session_id": 6194, "sequence_id": 528, "annotations": []}
{"role": "student", "content": "improvement", "session_id": 6194, "sequence_id": 529, "annotations": []}
{"role": "volunteer", "content": "What would be the equation.", "session_id": 6194, "sequence_id": 530, "annotations": []}
{"role": "student", "content": "probably", "session_id": 6194, "sequence_id": 531, "annotations": []}
{"role": "student", "content": "I", "session_id": 6194, "sequence_id": 532, "annotations": []}
{"role": "volunteer", "content": "You know, some people", "session_id": 6194, "sequence_id": 533, "annotations": []}
{"role": "student", "content": "I", "session_id": 6194, "sequence_id": 534, "annotations": []}
{"role": "student", "content": "I", "session_id": 6194, "sequence_id": 535, "annotations": []}
{"role": "volunteer", "content": "some people", "session_id": 6194, "sequence_id": 536, "annotations": []}
{"role": "student", "content": "I", "session_id": 6194, "sequence_id": 537, "annotations": []}
{"role": "volunteer", "content": "OK, that's a.", "session_id": 6194, "sequence_id": 538, "annotations": []}
{"role": "student", "content": "I", "session_id": 6194, "sequence_id": 539, "annotations": []}
{"role": "student", "content": "I say.", "session_id": 6194, "sequence_id": 540, "annotations": []}
{"role": "volunteer", "content": "That's B", "session_id": 6194, "sequence_id": 541, "annotations": []}
{"role": "student", "content": "Mm", "session_id": 6194, "sequence_id": 542, "annotations": []}
{"role": "volunteer", "content": "and that's C", "session_id": 6194, "sequence_id": 543, "annotations": []}
{"role": "student", "content": "Let's see.", "session_id": 6194, "sequence_id": 544, "annotations": []}
{"role": "student", "content": "um", "session_id": 6194, "sequence_id": 545, "annotations": []}
{"role": "student", "content": "hm", "session_id": 6194, "sequence_id": 546, "annotations": []}
{"role": "student", "content": "and you see that", "session_id": 6194, "sequence_id": 547, "annotations": []}
{"role": "student", "content": "and", "session_id": 6194, "sequence_id": 548, "annotations": []}
{"role": "student", "content": "uh", "session_id": 6194, "sequence_id": 549, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 6194, "sequence_id": 550, "annotations": []}
{"role": "student", "content": "I", "session_id": 6194, "sequence_id": 551, "annotations": []}
{"role": "student", "content": "you", "session_id": 6194, "sequence_id": 552, "annotations": []}
{"role": "student", "content": "I.", "session_id": 6194, "sequence_id": 553, "annotations": []}
{"role": "student", "content": "I", "session_id": 6194, "sequence_id": 554, "annotations": []}
{"role": "student", "content": "I", "session_id": 6194, "sequence_id": 555, "annotations": []}
{"role": "student", "content": "I", "session_id": 6194, "sequence_id": 556, "annotations": []}
{"role": "student", "content": "I", "session_id": 6194, "sequence_id": 557, "annotations": []}
{"role": "student", "content": "I.", "session_id": 6194, "sequence_id": 558, "annotations": []}
{"role": "student", "content": "I feel like I did something right.", "session_id": 6194, "sequence_id": 559, "annotations": []}
{"role": "student", "content": "I got him the", "session_id": 6194, "sequence_id": 560, "annotations": []}
{"role": "student", "content": "Yeah, to is it's supposed to have this.", "session_id": 6194, "sequence_id": 561, "annotations": []}
{"role": "student", "content": "Hm.", "session_id": 6194, "sequence_id": 562, "annotations": []}
{"role": "student", "content": "OK", "session_id": 6194, "sequence_id": 563, "annotations": []}
{"role": "student", "content": "I", "session_id": 6194, "sequence_id": 564, "annotations": []}
{"role": "student", "content": "I", "session_id": 6194, "sequence_id": 565, "annotations": []}
{"role": "student", "content": "I", "session_id": 6194, "sequence_id": 566, "annotations": []}
{"role": "student", "content": "Oh", "session_id": 6194, "sequence_id": 567, "annotations": []}
{"role": "volunteer", "content": "I changed the numbers. What would you be putting in the blue spots?", "session_id": 6194, "sequence_id": 568, "annotations": []}
{"role": "student", "content": "the", "session_id": 6194, "sequence_id": 569, "annotations": []}
{"role": "student", "content": "uh", "session_id": 6194, "sequence_id": 570, "annotations": []}
{"role": "volunteer", "content": "Good", "session_id": 6194, "sequence_id": 571, "annotations": []}
{"role": "student", "content": "and", "session_id": 6194, "sequence_id": 572, "annotations": []}
{"role": "volunteer", "content": "Right", "session_id": 6194, "sequence_id": 573, "annotations": []}
{"role": "volunteer", "content": "That's how you do it", "session_id": 6194, "sequence_id": 574, "annotations": []}
{"role": "student", "content": "So", "session_id": 6194, "sequence_id": 575, "annotations": []}
{"role": "volunteer", "content": "Yeah, the square root of 676 is 26. That was the previous one.", "session_id": 6194, "sequence_id": 576, "annotations": []}
{"role": "student", "content": "Mhm", "session_id": 6194, "sequence_id": 577, "annotations": []}
{"role": "volunteer", "content": "So, yes.", "session_id": 6194, "sequence_id": 578, "annotations": []}
{"role": "volunteer", "content": "The parts that make up", "session_id": 6194, "sequence_id": 579, "annotations": []}
{"role": "volunteer", "content": "the legs are A and B.", "session_id": 6194, "sequence_id": 580, "annotations": []}
{"role": "student", "content": "Mhm", "session_id": 6194, "sequence_id": 581, "annotations": []}
{"role": "volunteer", "content": "and the part over there across from the right angle is always safe.", "session_id": 6194, "sequence_id": 582, "annotations": []}
{"role": "student", "content": "I can't take it out.", "session_id": 6194, "sequence_id": 583, "annotations": []}
{"role": "student", "content": "I. It can take forever.", "session_id": 6194, "sequence_id": 584, "annotations": []}
{"role": "student", "content": "I", "session_id": 6194, "sequence_id": 585, "annotations": []}
{"role": "student", "content": "I", "session_id": 6194, "sequence_id": 586, "annotations": []}
{"role": "student", "content": "I", "session_id": 6194, "sequence_id": 587, "annotations": []}
{"role": "student", "content": "I", "session_id": 6194, "sequence_id": 588, "annotations": []}
{"role": "student", "content": "I", "session_id": 6194, "sequence_id": 589, "annotations": []}
{"role": "student", "content": "and", "session_id": 6194, "sequence_id": 590, "annotations": []}
{"role": "student", "content": "I", "session_id": 6194, "sequence_id": 591, "annotations": []}
{"role": "student", "content": "I", "session_id": 6194, "sequence_id": 592, "annotations": []}
{"role": "student", "content": "Mhm.", "session_id": 6194, "sequence_id": 593, "annotations": []}
{"role": "volunteer", "content": "Good", "session_id": 6194, "sequence_id": 594, "annotations": []}
{"role": "student", "content": "I", "session_id": 6194, "sequence_id": 595, "annotations": []}
{"role": "student", "content": "Oh", "session_id": 6194, "sequence_id": 596, "annotations": []}
{"role": "volunteer", "content": "Good", "session_id": 6194, "sequence_id": 597, "annotations": []}
{"role": "volunteer", "content": "I think I gave you one that doesn't come out right.", "session_id": 6194, "sequence_id": 598, "annotations": []}
{"role": "volunteer", "content": "You might have some of those.", "session_id": 6194, "sequence_id": 599, "annotations": []}
{"role": "volunteer", "content": "Yeah.", "session_id": 6194, "sequence_id": 600, "annotations": []}
{"role": "volunteer", "content": "Yeah. It's gonna be the square root of 189.", "session_id": 6194, "sequence_id": 601, "annotations": []}
{"role": "student", "content": "I", "session_id": 6194, "sequence_id": 602, "annotations": []}
{"role": "student", "content": "I", "session_id": 6194, "sequence_id": 603, "annotations": []}
{"role": "student", "content": "I", "session_id": 6194, "sequence_id": 604, "annotations": []}
{"role": "student", "content": "I", "session_id": 6194, "sequence_id": 605, "annotations": []}
{"role": "student", "content": "I", "session_id": 6194, "sequence_id": 606, "annotations": []}
{"role": "student", "content": "I", "session_id": 6194, "sequence_id": 607, "annotations": []}
{"role": "student", "content": "I", "session_id": 6194, "sequence_id": 608, "annotations": []}
{"role": "student", "content": "I", "session_id": 6194, "sequence_id": 609, "annotations": []}
{"role": "student", "content": "I", "session_id": 6194, "sequence_id": 610, "annotations": []}
{"role": "volunteer", "content": "So sometimes they want it to the nearest tent.", "session_id": 6194, "sequence_id": 611, "annotations": []}
{"role": "volunteer", "content": "So like 13.7.", "session_id": 6194, "sequence_id": 612, "annotations": []}
{"role": "student", "content": "So it's OK to have a decimal.", "session_id": 6194, "sequence_id": 613, "annotations": []}
{"role": "volunteer", "content": "Yes, and some say leave it like that. So,", "session_id": 6194, "sequence_id": 614, "annotations": []}
{"role": "student", "content": "Is it wrong if I don't like round it up?", "session_id": 6194, "sequence_id": 615, "annotations": []}
{"role": "volunteer", "content": "you, you have to follow the instructions on the", "session_id": 6194, "sequence_id": 616, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 6194, "sequence_id": 617, "annotations": []}
{"role": "volunteer", "content": "paper", "session_id": 6194, "sequence_id": 618, "annotations": []}
{"role": "student", "content": "What if it doesn't say Rounded up not, I just leave it like that.", "session_id": 6194, "sequence_id": 619, "annotations": []}
{"role": "volunteer", "content": "Then you could do 13.4 or whatever I said, 13.4, 13.7.", "session_id": 6194, "sequence_id": 620, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 6194, "sequence_id": 621, "annotations": []}
{"role": "student", "content": "Yeah.", "session_id": 6194, "sequence_id": 622, "annotations": []}
{"role": "volunteer", "content": "189, 13.7, that's 13.7.", "session_id": 6194, "sequence_id": 623, "annotations": []}
{"role": "volunteer", "content": "Yeah, I, that's what happens when I make things up. I don't always get them perfect.", "session_id": 6194, "sequence_id": 624, "annotations": []}
{"role": "student", "content": "That's OK", "session_id": 6194, "sequence_id": 625, "annotations": []}
{"role": "volunteer", "content": "Now, so if we have", "session_id": 6194, "sequence_id": 626, "annotations": []}
{"role": "volunteer", "content": "triangle like this,", "session_id": 6194, "sequence_id": 627, "annotations": []}
{"role": "volunteer", "content": "what kind of triangle is that?", "session_id": 6194, "sequence_id": 628, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 6194, "sequence_id": 629, "annotations": []}
{"role": "student", "content": "That would be a sausage. No, no, no, no, no. That'll be um e collateral.", "session_id": 6194, "sequence_id": 630, "annotations": []}
{"role": "volunteer", "content": "Right", "session_id": 6194, "sequence_id": 631, "annotations": []}
{"role": "volunteer", "content": "Do you know how much the angles are?", "session_id": 6194, "sequence_id": 632, "annotations": []}
{"role": "volunteer", "content": "in equilateral triangle.", "session_id": 6194, "sequence_id": 633, "annotations": []}
{"role": "student", "content": "Um", "session_id": 6194, "sequence_id": 634, "annotations": []}
{"role": "volunteer", "content": "How much is all three angles in any triangle.", "session_id": 6194, "sequence_id": 635, "annotations": []}
{"role": "student", "content": "Isn't it gonna be 60-60 and 60.", "session_id": 6194, "sequence_id": 636, "annotations": []}
{"role": "volunteer", "content": "Yes, yes, because", "session_id": 6194, "sequence_id": 637, "annotations": []}
{"role": "volunteer", "content": "all three angles", "session_id": 6194, "sequence_id": 638, "annotations": []}
{"role": "volunteer", "content": "tangles have to be the same.", "session_id": 6194, "sequence_id": 639, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 6194, "sequence_id": 640, "annotations": []}
{"role": "student", "content": "It's a whole angles 180, and if you divide by 3, that'll be.", "session_id": 6194, "sequence_id": 641, "annotations": []}
{"role": "volunteer", "content": "And then, so 2x equals 60, doesn't it?", "session_id": 6194, "sequence_id": 642, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 6194, "sequence_id": 643, "annotations": []}
{"role": "volunteer", "content": "How about that", "session_id": 6194, "sequence_id": 644, "annotations": []}
{"role": "volunteer", "content": "Or somebody else might say, oh, it's 2 X 2 X 2 X, and they would add it all up at 6 X equals 180.", "session_id": 6194, "sequence_id": 645, "annotations": []}
{"role": "volunteer", "content": "There are two ways to do that.", "session_id": 6194, "sequence_id": 646, "annotations": []}
{"role": "student", "content": "How did you get the 30", "session_id": 6194, "sequence_id": 647, "annotations": []}
{"role": "volunteer", "content": "I, I, it's an equilateral triangle.", "session_id": 6194, "sequence_id": 648, "annotations": []}
{"role": "student", "content": "Oh, you divide by 2.", "session_id": 6194, "sequence_id": 649, "annotations": []}
{"role": "student", "content": "30.", "session_id": 6194, "sequence_id": 650, "annotations": []}
{"role": "volunteer", "content": "Yes, with two X is 60.", "session_id": 6194, "sequence_id": 651, "annotations": []}
{"role": "volunteer", "content": "and X is", "session_id": 6194, "sequence_id": 652, "annotations": []}
{"role": "volunteer", "content": "30", "session_id": 6194, "sequence_id": 653, "annotations": []}
{"role": "student", "content": "OK", "session_id": 6194, "sequence_id": 654, "annotations": []}
{"role": "volunteer", "content": "In the right triangle.", "session_id": 6194, "sequence_id": 655, "annotations": []}
{"role": "volunteer", "content": "if I tell you this one is 20 degrees. How much is this one?", "session_id": 6194, "sequence_id": 656, "annotations": []}
{"role": "student", "content": "Mm", "session_id": 6194, "sequence_id": 657, "annotations": []}
{"role": "student", "content": "I think.", "session_id": 6194, "sequence_id": 658, "annotations": []}
{"role": "volunteer", "content": "Where did I get 90 from?", "session_id": 6194, "sequence_id": 659, "annotations": []}
{"role": "student", "content": "Huh", "session_id": 6194, "sequence_id": 660, "annotations": []}
{"role": "volunteer", "content": "Where did I get 90 from", "session_id": 6194, "sequence_id": 661, "annotations": []}
{"role": "student", "content": "From this the I think you.", "session_id": 6194, "sequence_id": 662, "annotations": []}
{"role": "volunteer", "content": "And if, if a triangle has 180 degrees and I use 90 right here, that leaves 90 for the other two ankles.", "session_id": 6194, "sequence_id": 663, "annotations": []}
{"role": "volunteer", "content": "So 90 minus 20.", "session_id": 6194, "sequence_id": 664, "annotations": []}
{"role": "volunteer", "content": "would be 70", "session_id": 6194, "sequence_id": 665, "annotations": []}
{"role": "student", "content": "Mm", "session_id": 6194, "sequence_id": 666, "annotations": []}
{"role": "student", "content": "Mm.", "session_id": 6194, "sequence_id": 667, "annotations": []}
{"role": "volunteer", "content": "These two angles in a right triangle add up to 90.", "session_id": 6194, "sequence_id": 668, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 6194, "sequence_id": 669, "annotations": []}
{"role": "student", "content": "Mm", "session_id": 6194, "sequence_id": 670, "annotations": []}
{"role": "volunteer", "content": "Yeah.", "session_id": 6194, "sequence_id": 671, "annotations": []}
{"role": "student", "content": "Is it possible for the 20 to be here and I have to find this.", "session_id": 6194, "sequence_id": 672, "annotations": []}
{"role": "volunteer", "content": "Mhm, mhm.", "session_id": 6194, "sequence_id": 673, "annotations": []}
{"role": "volunteer", "content": "Typically, the smallest angle has the smallest side.", "session_id": 6194, "sequence_id": 674, "annotations": []}
{"role": "volunteer", "content": "you know, so if I drew something like this", "session_id": 6194, "sequence_id": 675, "annotations": []}
{"role": "volunteer", "content": "the 20 would be here.", "session_id": 6194, "sequence_id": 676, "annotations": []}
{"role": "student", "content": "Mhm", "session_id": 6194, "sequence_id": 677, "annotations": []}
{"role": "volunteer", "content": "and the 70 would be here.", "session_id": 6194, "sequence_id": 678, "annotations": []}
{"role": "student", "content": "I", "session_id": 6194, "sequence_id": 679, "annotations": []}
{"role": "volunteer", "content": "It's 70.", "session_id": 6194, "sequence_id": 680, "annotations": []}
{"role": "student", "content": "I", "session_id": 6194, "sequence_id": 681, "annotations": []}
{"role": "volunteer", "content": "So this is", "session_id": 6194, "sequence_id": 682, "annotations": []}
{"role": "student", "content": "I", "session_id": 6194, "sequence_id": 683, "annotations": []}
{"role": "student", "content": "I", "session_id": 6194, "sequence_id": 684, "annotations": []}
{"role": "volunteer", "content": "my side in the twenties left with the little short side.", "session_id": 6194, "sequence_id": 685, "annotations": []}
{"role": "student", "content": "I", "session_id": 6194, "sequence_id": 686, "annotations": []}
{"role": "student", "content": "I", "session_id": 6194, "sequence_id": 687, "annotations": []}
{"role": "student", "content": "I", "session_id": 6194, "sequence_id": 688, "annotations": []}
{"role": "student", "content": "I", "session_id": 6194, "sequence_id": 689, "annotations": []}
{"role": "volunteer", "content": "What do you think happens if I draw in assosceles right triangle.", "session_id": 6194, "sequence_id": 690, "annotations": []}
{"role": "student", "content": "I", "session_id": 6194, "sequence_id": 691, "annotations": []}
{"role": "volunteer", "content": "That means this and this are equal.", "session_id": 6194, "sequence_id": 692, "annotations": []}
{"role": "student", "content": "I", "session_id": 6194, "sequence_id": 693, "annotations": []}
{"role": "student", "content": "I", "session_id": 6194, "sequence_id": 694, "annotations": []}
{"role": "volunteer", "content": "So if this is 4", "session_id": 6194, "sequence_id": 695, "annotations": []}
{"role": "student", "content": "I", "session_id": 6194, "sequence_id": 696, "annotations": []}
{"role": "volunteer", "content": "this is 4", "session_id": 6194, "sequence_id": 697, "annotations": []}
{"role": "student", "content": "I", "session_id": 6194, "sequence_id": 698, "annotations": []}
{"role": "volunteer", "content": "and then I could find C.", "session_id": 6194, "sequence_id": 699, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 6194, "sequence_id": 700, "annotations": []}
{"role": "student", "content": "Um", "session_id": 6194, "sequence_id": 701, "annotations": []}
{"role": "student", "content": "IBX + 4 + 4.", "session_id": 6194, "sequence_id": 702, "annotations": []}
{"role": "student", "content": "Mm.", "session_id": 6194, "sequence_id": 703, "annotations": []}
{"role": "student", "content": "I", "session_id": 6194, "sequence_id": 704, "annotations": []}
{"role": "student", "content": "I'll be 6 to 16.", "session_id": 6194, "sequence_id": 705, "annotations": []}
{"role": "student", "content": "I 32 equals to say square.", "session_id": 6194, "sequence_id": 706, "annotations": []}
{"role": "student", "content": "That's gonna have a decimal.", "session_id": 6194, "sequence_id": 707, "annotations": []}
{"role": "volunteer", "content": "right", "session_id": 6194, "sequence_id": 708, "annotations": []}
{"role": "student", "content": "gonna be 5.6.", "session_id": 6194, "sequence_id": 709, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 6194, "sequence_id": 710, "annotations": []}
{"role": "volunteer", "content": "Mhm", "session_id": 6194, "sequence_id": 711, "annotations": []}
{"role": "volunteer", "content": "You know, some teachers", "session_id": 6194, "sequence_id": 712, "annotations": []}
{"role": "volunteer", "content": "will work with the square root of 32 and break it factor it down. So I'm not sure if you work with that.", "session_id": 6194, "sequence_id": 713, "annotations": []}
{"role": "student", "content": "You know", "session_id": 6194, "sequence_id": 714, "annotations": []}
{"role": "volunteer", "content": "So they'll probably go with decimals.", "session_id": 6194, "sequence_id": 715, "annotations": []}
{"role": "volunteer", "content": "Mhm", "session_id": 6194, "sequence_id": 716, "annotations": []}
{"role": "student", "content": "I", "session_id": 6194, "sequence_id": 717, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 6194, "sequence_id": 718, "annotations": []}
{"role": "volunteer", "content": "Put some numbers on my, on the right triangle and let me write an equation.", "session_id": 6194, "sequence_id": 719, "annotations": []}
{"role": "volunteer", "content": "I need 2 numbers and I need a variable, right?", "session_id": 6194, "sequence_id": 720, "annotations": []}
{"role": "student", "content": "Oh.", "session_id": 6194, "sequence_id": 721, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 6194, "sequence_id": 722, "annotations": []}
{"role": "volunteer", "content": "So you're asking me to find the hypotenuse, so I'm squaring the other numbers, the legs are getting squared.", "session_id": 6194, "sequence_id": 723, "annotations": []}
{"role": "volunteer", "content": "and that's gonna equal X^2.", "session_id": 6194, "sequence_id": 724, "annotations": []}
{"role": "volunteer", "content": "and this kind of numbers easy too.", "session_id": 6194, "sequence_id": 725, "annotations": []}
{"role": "volunteer", "content": "square", "session_id": 6194, "sequence_id": 726, "annotations": []}
{"role": "student", "content": "That's a big number.", "session_id": 6194, "sequence_id": 727, "annotations": []}
{"role": "student", "content": "times", "session_id": 6194, "sequence_id": 728, "annotations": []}
{"role": "volunteer", "content": "Almost forgot the X on it.", "session_id": 6194, "sequence_id": 729, "annotations": []}
{"role": "volunteer", "content": "Um.", "session_id": 6194, "sequence_id": 730, "annotations": []}
{"role": "volunteer", "content": "squari of that might not be an even number.", "session_id": 6194, "sequence_id": 731, "annotations": []}
{"role": "volunteer", "content": "No", "session_id": 6194, "sequence_id": 732, "annotations": []}
{"role": "student", "content": "It's the best.", "session_id": 6194, "sequence_id": 733, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 6194, "sequence_id": 734, "annotations": []}
{"role": "student", "content": "I hope it's 62.2.", "session_id": 6194, "sequence_id": 735, "annotations": []}
{"role": "volunteer", "content": "Good", "session_id": 6194, "sequence_id": 736, "annotations": []}
{"role": "volunteer", "content": "So even though it's big numbers", "session_id": 6194, "sequence_id": 737, "annotations": []}
{"role": "volunteer", "content": "this is a", "session_id": 6194, "sequence_id": 738, "annotations": []}
{"role": "volunteer", "content": "this is B, and I'm looking for C, but you know, you could have made it a K.", "session_id": 6194, "sequence_id": 739, "annotations": []}
{"role": "volunteer", "content": "I would still know", "session_id": 6194, "sequence_id": 740, "annotations": []}
{"role": "volunteer", "content": "the K goes over here by itself.", "session_id": 6194, "sequence_id": 741, "annotations": []}
{"role": "student", "content": "Mm", "session_id": 6194, "sequence_id": 742, "annotations": []}
{"role": "volunteer", "content": "And sometimes you're looking through the leg.", "session_id": 6194, "sequence_id": 743, "annotations": []}
{"role": "student", "content": "So it can be any letter, it just has to be opposite with the B.", "session_id": 6194, "sequence_id": 744, "annotations": []}
{"role": "volunteer", "content": "So", "session_id": 6194, "sequence_id": 745, "annotations": []}
{"role": "volunteer", "content": "I could say this is X.", "session_id": 6194, "sequence_id": 746, "annotations": []}
{"role": "volunteer", "content": "and this is 3, and this is 7.", "session_id": 6194, "sequence_id": 747, "annotations": []}
{"role": "student", "content": "Mm", "session_id": 6194, "sequence_id": 748, "annotations": []}
{"role": "student", "content": "I", "session_id": 6194, "sequence_id": 749, "annotations": []}
{"role": "volunteer", "content": "The 7 is the hypotenuse, the 7 is the.", "session_id": 6194, "sequence_id": 750, "annotations": []}
{"role": "volunteer", "content": "and the other two parts.", "session_id": 6194, "sequence_id": 751, "annotations": []}
{"role": "volunteer", "content": "are the legs", "session_id": 6194, "sequence_id": 752, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 6194, "sequence_id": 753, "annotations": []}
{"role": "student", "content": "I", "session_id": 6194, "sequence_id": 754, "annotations": []}
{"role": "volunteer", "content": "Now, I never would have atriangle that would say this is 3 and this is 7. Do you know why?", "session_id": 6194, "sequence_id": 755, "annotations": []}
{"role": "student", "content": "Why? No, I don't.", "session_id": 6194, "sequence_id": 756, "annotations": []}
{"role": "volunteer", "content": "Because the hypotenuse is always the longest leg.", "session_id": 6194, "sequence_id": 757, "annotations": []}
{"role": "volunteer", "content": "You can't have the leg longer than the hypotenuse.", "session_id": 6194, "sequence_id": 758, "annotations": []}
{"role": "volunteer", "content": "So if somebody puts a 3 there.", "session_id": 6194, "sequence_id": 759, "annotations": []}
{"role": "volunteer", "content": "this number has to be 89, 10. It can't be 6 or 5 or 3 or 2.", "session_id": 6194, "sequence_id": 760, "annotations": []}
{"role": "student", "content": "I.", "session_id": 6194, "sequence_id": 761, "annotations": []}
{"role": "volunteer", "content": "The longest side is the hypotus.", "session_id": 6194, "sequence_id": 762, "annotations": []}
{"role": "volunteer", "content": "Lots of information.", "session_id": 6194, "sequence_id": 763, "annotations": []}
{"role": "student", "content": "I", "session_id": 6194, "sequence_id": 764, "annotations": []}
{"role": "student", "content": "I", "session_id": 6194, "sequence_id": 765, "annotations": []}
{"role": "student", "content": "I", "session_id": 6194, "sequence_id": 766, "annotations": []}
{"role": "volunteer", "content": "Are there any other questions in your homework or paperwork or school work?", "session_id": 6194, "sequence_id": 767, "annotations": []}
{"role": "student", "content": "Mhm", "session_id": 6194, "sequence_id": 768, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 6194, "sequence_id": 769, "annotations": []}
{"role": "student", "content": "No, that's basically it.", "session_id": 6194, "sequence_id": 770, "annotations": []}
{"role": "student", "content": "But I'm uh", "session_id": 6194, "sequence_id": 771, "annotations": []}
{"role": "student", "content": "I don't know if it's, if it's gonna be you again tomorrow, but we, I think we're gonna be doing something like that tomorrow.", "session_id": 6194, "sequence_id": 772, "annotations": []}
{"role": "student", "content": "And then", "session_id": 6194, "sequence_id": 773, "annotations": []}
{"role": "volunteer", "content": "Well, one of the other questions is", "session_id": 6194, "sequence_id": 774, "annotations": []}
{"role": "volunteer", "content": "if you're given", "session_id": 6194, "sequence_id": 775, "annotations": []}
{"role": "volunteer", "content": "3 numbers, you might be asked, Is this a right triangle.", "session_id": 6194, "sequence_id": 776, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 6194, "sequence_id": 777, "annotations": []}
{"role": "volunteer", "content": "And so I'm gonna do a^2 + b^2.", "session_id": 6194, "sequence_id": 778, "annotations": []}
{"role": "volunteer", "content": "Does it equal", "session_id": 6194, "sequence_id": 779, "annotations": []}
{"role": "student", "content": "really.", "session_id": 6194, "sequence_id": 780, "annotations": []}
{"role": "volunteer", "content": "C^2", "session_id": 6194, "sequence_id": 781, "annotations": []}
{"role": "student", "content": "Mhm", "session_id": 6194, "sequence_id": 782, "annotations": []}
{"role": "volunteer", "content": "and the largest number is always what's going to be over here, isn't it?", "session_id": 6194, "sequence_id": 783, "annotations": []}
{"role": "student", "content": "OK", "session_id": 6194, "sequence_id": 784, "annotations": []}
{"role": "student", "content": "I", "session_id": 6194, "sequence_id": 785, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 6194, "sequence_id": 786, "annotations": []}
{"role": "volunteer", "content": "So 4 square + 5 squad. Does it equal", "session_id": 6194, "sequence_id": 787, "annotations": []}
{"role": "student", "content": "no", "session_id": 6194, "sequence_id": 788, "annotations": []}
{"role": "student", "content": "no", "session_id": 6194, "sequence_id": 789, "annotations": []}
{"role": "volunteer", "content": "7 squared.", "session_id": 6194, "sequence_id": 790, "annotations": []}
{"role": "student", "content": "yeah.", "session_id": 6194, "sequence_id": 791, "annotations": []}
{"role": "student", "content": "I said this. Mhm.", "session_id": 6194, "sequence_id": 792, "annotations": []}
{"role": "student", "content": "My, my, my.", "session_id": 6194, "sequence_id": 793, "annotations": []}
{"role": "student", "content": "blood pressure blood pressure.", "session_id": 6194, "sequence_id": 794, "annotations": []}
{"role": "volunteer", "content": "It doesn't equal, does it?", "session_id": 6194, "sequence_id": 795, "annotations": []}
{"role": "student", "content": "no", "session_id": 6194, "sequence_id": 796, "annotations": []}
{"role": "volunteer", "content": "So this is not a right triangle.", "session_id": 6194, "sequence_id": 797, "annotations": []}
{"role": "volunteer", "content": "41 doesn't equal 49. It will make a triangle, but it won't make a right triangle.", "session_id": 6194, "sequence_id": 798, "annotations": []}
{"role": "student", "content": "Mhm", "session_id": 6194, "sequence_id": 799, "annotations": []}
{"role": "student", "content": "Mm", "session_id": 6194, "sequence_id": 800, "annotations": []}
{"role": "student", "content": "I", "session_id": 6194, "sequence_id": 801, "annotations": []}
{"role": "volunteer", "content": "So you might be using that, you might not.", "session_id": 6194, "sequence_id": 802, "annotations": []}
{"role": "volunteer", "content": "So if somebody gives you 3 numbers, the biggest number is the C part, and the other two numbers can go for the A and the B.", "session_id": 6194, "sequence_id": 803, "annotations": []}
{"role": "student", "content": "Mhm", "session_id": 6194, "sequence_id": 804, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 6194, "sequence_id": 805, "annotations": []}
{"role": "volunteer", "content": "If it doesn't equal, then it's not a right triangle.", "session_id": 6194, "sequence_id": 806, "annotations": []}
{"role": "student", "content": "OK", "session_id": 6194, "sequence_id": 807, "annotations": []}
{"role": "volunteer", "content": "It is equal, then it is the right triangle.", "session_id": 6194, "sequence_id": 808, "annotations": []}
{"role": "student", "content": "but", "session_id": 6194, "sequence_id": 809, "annotations": []}
{"role": "student", "content": "I see.", "session_id": 6194, "sequence_id": 810, "annotations": []}
{"role": "volunteer", "content": "And you might not get me, you might get someone else, but there's lots of", "session_id": 6194, "sequence_id": 811, "annotations": []}
{"role": "volunteer", "content": "Sure", "session_id": 6194, "sequence_id": 812, "annotations": []}
{"role": "student", "content": "I have a question.", "session_id": 6194, "sequence_id": 813, "annotations": []}
{"role": "student", "content": "What if all the numbers are equal, like what if you had numbers 5, 5, 5 and all the sides.", "session_id": 6194, "sequence_id": 814, "annotations": []}
{"role": "volunteer", "content": "Then, then it's an equilateral triangle.", "session_id": 6194, "sequence_id": 815, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 6194, "sequence_id": 816, "annotations": []}
{"role": "volunteer", "content": "If all the sides have the same number, it's equilateral, isn't it? It's not a right triangle.", "session_id": 6194, "sequence_id": 817, "annotations": []}
{"role": "volunteer", "content": "Same thing if you had 10, 10, 10, 10.", "session_id": 6194, "sequence_id": 818, "annotations": []}
{"role": "volunteer", "content": "All the sides are equal", "session_id": 6194, "sequence_id": 819, "annotations": []}
{"role": "student", "content": "So I just have to list can be a right angle, a scale can be a rectangle also, OK.", "session_id": 6194, "sequence_id": 820, "annotations": []}
{"role": "volunteer", "content": "So if you give me 5, 5, 5, it's equilateral, and it cannot be a right triangle.", "session_id": 6194, "sequence_id": 821, "annotations": []}
{"role": "student", "content": "No, I'm talking about isosceles and", "session_id": 6194, "sequence_id": 822, "annotations": []}
{"role": "student", "content": "excuse me, that have color.", "session_id": 6194, "sequence_id": 823, "annotations": []}
{"role": "volunteer", "content": "Well, 555 is automatically collateral, but if he gave me 4, 4, 6", "session_id": 6194, "sequence_id": 824, "annotations": []}
{"role": "volunteer", "content": "that would be assosceles.", "session_id": 6194, "sequence_id": 825, "annotations": []}
{"role": "student", "content": "Mhm", "session_id": 6194, "sequence_id": 826, "annotations": []}
{"role": "volunteer", "content": "And you had 4", "session_id": 6194, "sequence_id": 827, "annotations": []}
{"role": "volunteer", "content": "4.", "session_id": 6194, "sequence_id": 828, "annotations": []}
{"role": "volunteer", "content": "6. That's associles.", "session_id": 6194, "sequence_id": 829, "annotations": []}
{"role": "student", "content": "So which is", "session_id": 6194, "sequence_id": 830, "annotations": []}
{"role": "volunteer", "content": "You, but if you had 5, 5, 5", "session_id": 6194, "sequence_id": 831, "annotations": []}
{"role": "volunteer", "content": "it's equilateral.", "session_id": 6194, "sequence_id": 832, "annotations": []}
{"role": "student", "content": "What if you have 14, 6, and 12.", "session_id": 6194, "sequence_id": 833, "annotations": []}
{"role": "student", "content": "That would be scale like.", "session_id": 6194, "sequence_id": 834, "annotations": []}
{"role": "volunteer", "content": "not a triangle, but it might be a right triangle.", "session_id": 6194, "sequence_id": 835, "annotations": []}
{"role": "student", "content": "But it's also scaly triangle.", "session_id": 6194, "sequence_id": 836, "annotations": []}
{"role": "volunteer", "content": "Right, it's a scaling triangle.", "session_id": 6194, "sequence_id": 837, "annotations": []}
{"role": "student", "content": "So the, so they built like share.", "session_id": 6194, "sequence_id": 838, "annotations": []}
{"role": "volunteer", "content": "All the sides are different? Yes, it's scaling.", "session_id": 6194, "sequence_id": 839, "annotations": []}
{"role": "student", "content": "OK", "session_id": 6194, "sequence_id": 840, "annotations": []}
{"role": "volunteer", "content": "The site is open 24/7.", "session_id": 6194, "sequence_id": 841, "annotations": []}
{"role": "volunteer", "content": "So some people I know at midnight or 2:00 a.m.", "session_id": 6194, "sequence_id": 842, "annotations": []}
{"role": "volunteer", "content": "or 5 a.m.", "session_id": 6194, "sequence_id": 843, "annotations": []}
{"role": "student", "content": "OK", "session_id": 6194, "sequence_id": 844, "annotations": []}
{"role": "volunteer", "content": "cause there, there may be less people to answer the questions at that time.", "session_id": 6194, "sequence_id": 845, "annotations": []}
{"role": "student", "content": "But it's not possible to have the same patient every day.", "session_id": 6194, "sequence_id": 846, "annotations": []}
{"role": "volunteer", "content": "Right, right", "session_id": 6194, "sequence_id": 847, "annotations": []}
{"role": "student", "content": "OK", "session_id": 6194, "sequence_id": 848, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 6194, "sequence_id": 849, "annotations": []}
{"role": "student", "content": "Yeah.", "session_id": 6194, "sequence_id": 850, "annotations": []}
{"role": "volunteer", "content": "Because some people like myself, uh, I was getting ready to watch some TV and I said, let me go see if there's someone who needs a math help.", "session_id": 6194, "sequence_id": 851, "annotations": []}
{"role": "student", "content": "That's very nice", "session_id": 6194, "sequence_id": 852, "annotations": []}
{"role": "volunteer", "content": "I enjoy it because I don't want you to struggle and get", "session_id": 6194, "sequence_id": 853, "annotations": []}
{"role": "volunteer", "content": "frustrated or think you're not smart. Geometry.", "session_id": 6194, "sequence_id": 854, "annotations": []}
{"role": "volunteer", "content": "is a different math", "session_id": 6194, "sequence_id": 855, "annotations": []}
{"role": "student", "content": "That's true. I'll find it hard.", "session_id": 6194, "sequence_id": 856, "annotations": []}
{"role": "volunteer", "content": "and it uses, yeah, it uses some algebra, you know, when we have X", "session_id": 6194, "sequence_id": 857, "annotations": []}
{"role": "volunteer", "content": "+44 equals 61.", "session_id": 6194, "sequence_id": 858, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 6194, "sequence_id": 859, "annotations": []}
{"role": "volunteer", "content": "We're using geometry algebra.", "session_id": 6194, "sequence_id": 860, "annotations": []}
{"role": "volunteer", "content": "and then you've been introduced to the X squad.", "session_id": 6194, "sequence_id": 861, "annotations": []}
{"role": "volunteer", "content": "um, but geometry is about the shapes", "session_id": 6194, "sequence_id": 862, "annotations": []}
{"role": "volunteer", "content": "and the relationships.", "session_id": 6194, "sequence_id": 863, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 6194, "sequence_id": 864, "annotations": []}
{"role": "volunteer", "content": "It will not be easy", "session_id": 6194, "sequence_id": 865, "annotations": []}
{"role": "volunteer", "content": "but you have a tool. You have up achieved to sign on whether it's one question or 3 questions.", "session_id": 6194, "sequence_id": 866, "annotations": []}
{"role": "student", "content": "Do you, at this subject to its geometry.", "session_id": 6194, "sequence_id": 867, "annotations": []}
{"role": "volunteer", "content": "Say again", "session_id": 6194, "sequence_id": 868, "annotations": []}
{"role": "student", "content": "Do you do other subjects?", "session_id": 6194, "sequence_id": 869, "annotations": []}
{"role": "student", "content": "OK", "session_id": 6194, "sequence_id": 870, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 6194, "sequence_id": 871, "annotations": []}
{"role": "student", "content": "uh", "session_id": 6194, "sequence_id": 872, "annotations": []}
{"role": "volunteer", "content": "Oh yes, I do the algebra and uh algebra 2. There's um there'high school math.", "session_id": 6194, "sequence_id": 873, "annotations": []}
{"role": "student", "content": "OK", "session_id": 6194, "sequence_id": 874, "annotations": []}
{"role": "volunteer", "content": "Um, I can do SAT math.", "session_id": 6194, "sequence_id": 875, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 6194, "sequence_id": 876, "annotations": []}
{"role": "volunteer", "content": "Uh, some people do history and environmental science.", "session_id": 6194, "sequence_id": 877, "annotations": []}
{"role": "student", "content": "Mhm.", "session_id": 6194, "sequence_id": 878, "annotations": []}
{"role": "volunteer", "content": "or uh reading comprehension and things like that, and there'other applications as so many, many.", "session_id": 6194, "sequence_id": 879, "annotations": []}
{"role": "volunteer", "content": "subjects that are covered.", "session_id": 6194, "sequence_id": 880, "annotations": []}
{"role": "student", "content": "right", "session_id": 6194, "sequence_id": 881, "annotations": []}
{"role": "student", "content": "OK, thanks for your help.", "session_id": 6194, "sequence_id": 882, "annotations": []}
{"role": "volunteer", "content": "You're welcome, and the, the microphone is new before that we typed everything, but it's hard to type sometimes, isn't it?", "session_id": 6194, "sequence_id": 883, "annotations": []}
{"role": "student", "content": "Mhm", "session_id": 6194, "sequence_id": 884, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 6194, "sequence_id": 885, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 6194, "sequence_id": 886, "annotations": []}
{"role": "volunteer", "content": "But again, you can sign on right before a quiz and go over some review questions. Again, it might be, you only need help for 5 minutes.", "session_id": 6194, "sequence_id": 887, "annotations": []}
{"role": "volunteer", "content": "or", "session_id": 6194, "sequence_id": 888, "annotations": []}
{"role": "volunteer", "content": "20 minutes", "session_id": 6194, "sequence_id": 889, "annotations": []}
{"role": "volunteer", "content": "whatever you need. Now, some people", "session_id": 6194, "sequence_id": 890, "annotations": []}
{"role": "volunteer", "content": "like I signed on tonight.", "session_id": 6194, "sequence_id": 891, "annotations": []}
{"role": "volunteer", "content": "and I might have said, oh, it's almost past my bedtime, so some people might have to stop after 20 minutes.", "session_id": 6194, "sequence_id": 892, "annotations": []}
{"role": "student", "content": "You were way too.", "session_id": 6194, "sequence_id": 893, "annotations": []}
{"role": "volunteer", "content": "Then you get to sign on again and get another coach.", "session_id": 6194, "sequence_id": 894, "annotations": []}
{"role": "student", "content": "OK", "session_id": 6194, "sequence_id": 895, "annotations": []}
{"role": "student", "content": "So I can just like end the session or you have to end it.", "session_id": 6194, "sequence_id": 896, "annotations": []}
{"role": "volunteer", "content": "Yeah, we usually say thank you and have a nice day", "session_id": 6194, "sequence_id": 897, "annotations": []}
{"role": "student", "content": "Thank you", "session_id": 6194, "sequence_id": 898, "annotations": []}
{"role": "volunteer", "content": "And you're welcome.", "session_id": 6194, "sequence_id": 899, "annotations": []}
{"role": "student", "content": "Have a good night.", "session_id": 6194, "sequence_id": 900, "annotations": []}
{"role": "volunteer", "content": "And it was uh a pleasure talking with you and working with you.", "session_id": 6194, "sequence_id": 901, "annotations": []}
{"role": "student", "content": "You too", "session_id": 6194, "sequence_id": 902, "annotations": []}
{"role": "volunteer", "content": "So sign on again. Don't hesitate.", "session_id": 6194, "sequence_id": 903, "annotations": []}
{"role": "student", "content": "OK", "session_id": 6194, "sequence_id": 904, "annotations": []}
{"role": "volunteer", "content": "It's a very, very safe site.", "session_id": 6194, "sequence_id": 905, "annotations": []}
{"role": "volunteer", "content": "and the rest of us are volunteers. all age, and so there's different ages helping.", "session_id": 6194, "sequence_id": 906, "annotations": []}
{"role": "student", "content": "OK. Thank you again. It's nice.", "session_id": 6194, "sequence_id": 907, "annotations": []}
{"role": "volunteer", "content": "You, you're welcome. It's good to meet you.", "session_id": 6194, "sequence_id": 908, "annotations": []}
{"role": "student", "content": "Have a good night", "session_id": 6194, "sequence_id": 909, "annotations": []}
{"role": "volunteer", "content": "Good night", "session_id": 6194, "sequence_id": 910, "annotations": []}
{"role": "student", "content": "hi", "session_id": 6266, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "Hi, tell me what you need help with today", "session_id": 6266, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "Sarah needs to shade 1/5 of the 20 small squares in the grid what should Sarah do to correct her work?", "session_id": 6266, "sequence_id": 2, "annotations": [{"pii_type": "PERSON", "surrogate": "Sarah", "start": 0, "end": 5}, {"pii_type": "PERSON", "surrogate": "Sarah", "start": 73, "end": 78}]}
{"role": "volunteer", "content": "Do you want me to do the exercise on the board, or is there something specific you don't understand?", "session_id": 6266, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "board", "session_id": 6266, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "Do you understand the reason for the exercise I'm doing on the board?", "session_id": 6266, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "I think.", "session_id": 6266, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "Okay, let me explain. Since we have 20 squares and we need to know how many there are in 1/5, we have to multiply them first so we can then divide.", "session_id": 6266, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "is it 5", "session_id": 6266, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "The answer no, but we can divide it by 5", "session_id": 6266, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "Aw man", "session_id": 6266, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "I got it. I got the right answer.", "session_id": 6266, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "Can you tell what is it so i can confirm it", "session_id": 6266, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "Correct, good job", "session_id": 6266, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "Thank you.", "session_id": 6266, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "you are welcome", "session_id": 6266, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "Do you need help with anything else?", "session_id": 6266, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "David needs to shade 1/4 of the 24 small squares in the grid. David's work is shown. what should David do to correct his work?", "session_id": 6266, "sequence_id": 17, "annotations": [{"pii_type": "PERSON", "surrogate": "David", "start": 0, "end": 5}, {"pii_type": "PERSON", "surrogate": "David", "start": 62, "end": 67}, {"pii_type": "PERSON", "surrogate": "David", "start": 97, "end": 102}]}
{"role": "volunteer", "content": "This exercise is very similar to the previous one; do you want to do it or should I", "session_id": 6266, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "you", "session_id": 6266, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "sorry", "session_id": 6266, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "It's Okay don't worry", "session_id": 6266, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "I was trying to write the line there.", "session_id": 6266, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "Don't worry, it's fine; in fact, it only shows that you understand the topic that is very good", "session_id": 6266, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "So, what would the answer be based on that procedure?", "session_id": 6266, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "fast", "session_id": 6384, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "Hi.  How are you?", "session_id": 6384, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "Mr. Maya, can you please turn on your mic so I can talk to you. I'm Amy.", "session_id": 6384, "sequence_id": 2, "annotations": [{"pii_type": "PERSON", "surrogate": "Maya", "start": 4, "end": 8}, {"pii_type": "PERSON", "surrogate": "Amy", "start": 68, "end": 71}]}
{"role": "volunteer", "content": "Give m a minute.", "session_id": 6384, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "So I, I'm here to review, um, a chapter in statistics. It's called Making Sense of the statistical significance.", "session_id": 6384, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "I would exam tomorrow.", "session_id": 6384, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "Can you hear me?", "session_id": 6384, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "Yes, sir", "session_id": 6384, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 6384, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "Can you hear me", "session_id": 6384, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "Yes, I hear you", "session_id": 6384, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "No, I wanted to ask, are you familiar with um like um what determines the power of a study and", "session_id": 6384, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "stuff like that", "session_id": 6384, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "Um, how I've, I'm, I'm not intimately familiar with it.", "session_id": 6384, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "Is that, that's one of the statistics that to determine how", "session_id": 6384, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "good the the test is, right?", "session_id": 6384, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "Yeah, like, um, it has like several, what did, what determines the study's power.", "session_id": 6384, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "Yeah. Um", "session_id": 6384, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "I can try to work with it, uh", "session_id": 6384, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "through with you, um, it's been some time since I've, I know it has to do with the", "session_id": 6384, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "type uh er the error types, right?", "session_id": 6384, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "Yes, sir. So I also have a question about that.", "session_id": 6384, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "OK. Um, let me see what I, give me a minute to see if I have some notes here", "session_id": 6384, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "that I could look at. Um, to be honest, I'm not that good at it if, you know, there's somebody else that might be", "session_id": 6384, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "um", "session_id": 6384, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "better at that, more familiar with it.", "session_id": 6384, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "Yeah.", "session_id": 6384, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "You know what? No, sir. So I have been looking at different tutors, and I can barely find a tutor who knows of anything about this topic, like, at least you know type 1 and type 2 errors, right?", "session_id": 6384, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "Yeah, I, I, I definitely understand type one of", "session_id": 6384, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "yeah, if I, if I have it in front of me, to be honest, let me go see if I", "session_id": 6384, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "have a little material here that I could look at", "session_id": 6384, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 6384, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "Hold on please", "session_id": 6384, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 6384, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "OK, so kinda trying to help myself review a little bit.", "session_id": 6384, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "Let's see", "session_id": 6384, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "see", "session_id": 6384, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "There are two types of important types of mistakes that can be made when reaching a decision on the basis of a hypothesis test.", "session_id": 6384, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "Rejecting the null hypothesis when it is true, is called a type one error.", "session_id": 6384, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "not rejecting the no hypothesis hypothesis when the alternative hypothesis is true, it's called a type 2 error.", "session_id": 6384, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "No, no, no. For me, I see it as so the type one error is when I reject the non hypothesis when it's true, and the type 2, it's failing to reject the all hypothesis when it's false.", "session_id": 6384, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "Correct", "session_id": 6384, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "Yeah.", "session_id": 6384, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 6384, "sequence_id": 43, "annotations": []}
{"role": "student", "content": "I'm a, I'm a copy a table.", "session_id": 6384, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 6384, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "Yeah.", "session_id": 6384, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "Yeah, this stuff is rather, rather hard to get in your brain, my brain anyhow.", "session_id": 6384, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "So are you getting something", "session_id": 6384, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "are you loading something?", "session_id": 6384, "sequence_id": 49, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 6384, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "OK.", "session_id": 6384, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "I'm trying my best to cop it. I hope it comes up, but it's not coming up. So my table that I have um and I do", "session_id": 6384, "sequence_id": 52, "annotations": []}
{"role": "student", "content": "for, so I was doing some practice problems and stuff.", "session_id": 6384, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "Mhm.", "session_id": 6384, "sequence_id": 54, "annotations": []}
{"role": "student", "content": "So", "session_id": 6384, "sequence_id": 55, "annotations": []}
{"role": "student", "content": "um", "session_id": 6384, "sequence_id": 56, "annotations": []}
{"role": "student", "content": "the, um,", "session_id": 6384, "sequence_id": 57, "annotations": []}
{"role": "student", "content": "you want me to tell you the, the statements.", "session_id": 6384, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "OK, I guess, um", "session_id": 6384, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "yeah, you can, you can do that.", "session_id": 6384, "sequence_id": 60, "annotations": []}
{"role": "student", "content": "I'm gonna read it from the textbook because my publisher doesn't allow me to paste and copy or whatever, so I won't be able to do that.", "session_id": 6384, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "All righty", "session_id": 6384, "sequence_id": 62, "annotations": []}
{"role": "student", "content": "So, the problem is saying, um.", "session_id": 6384, "sequence_id": 63, "annotations": []}
{"role": "student", "content": "so", "session_id": 6384, "sequence_id": 64, "annotations": []}
{"role": "student", "content": "And are you familiar with meta-analysis and stuff too.", "session_id": 6384, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "Meta-analysis? No, I'm sorry. That doesn't ring a bell at all.", "session_id": 6384, "sequence_id": 66, "annotations": []}
{"role": "student", "content": "Mhm.", "session_id": 6384, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "I hate to say", "session_id": 6384, "sequence_id": 68, "annotations": []}
{"role": "student", "content": "OK. OK, so the, um, so it says, um, a study of whether colorbrine individuals can distinguish gray shades better than the population at large.", "session_id": 6384, "sequence_id": 69, "annotations": []}
{"role": "student", "content": "Hello", "session_id": 6384, "sequence_id": 70, "annotations": []}
{"role": "student", "content": "David.", "session_id": 6384, "sequence_id": 71, "annotations": [{"pii_type": "PERSON", "surrogate": "David", "start": 0, "end": 5}]}
{"role": "student", "content": "I scream out David.", "session_id": 6384, "sequence_id": 72, "annotations": [{"pii_type": "PERSON", "surrogate": "David", "start": 13, "end": 18}]}
{"role": "student", "content": "Mm, OK", "session_id": 6384, "sequence_id": 73, "annotations": []}
{"role": "student", "content": "Uh, hi.", "session_id": 6384, "sequence_id": 74, "annotations": []}
{"role": "student", "content": "sir.", "session_id": 6384, "sequence_id": 75, "annotations": []}
{"role": "student", "content": "W", "session_id": 6384, "sequence_id": 76, "annotations": []}
{"role": "student", "content": "The", "session_id": 6384, "sequence_id": 77, "annotations": []}
{"role": "student", "content": "Hello", "session_id": 6384, "sequence_id": 78, "annotations": []}
{"role": "student", "content": "Vanillano", "session_id": 6384, "sequence_id": 79, "annotations": []}
{"role": "student", "content": "fleon.", "session_id": 6384, "sequence_id": 80, "annotations": []}
{"role": "student", "content": "David.", "session_id": 6384, "sequence_id": 81, "annotations": [{"pii_type": "PERSON", "surrogate": "David", "start": 0, "end": 5}]}
{"role": "student", "content": "strawberry strawberry, strawberry only. No.", "session_id": 6384, "sequence_id": 82, "annotations": []}
{"role": "student", "content": "Yes, my age.", "session_id": 6384, "sequence_id": 83, "annotations": []}
{"role": "student", "content": "vanilla do But Ramanandabiche Are they all around you?", "session_id": 6384, "sequence_id": 84, "annotations": []}
{"role": "student", "content": "Ah, what, just a second, sir. I'm on a phone.", "session_id": 6384, "sequence_id": 85, "annotations": []}
{"role": "volunteer", "content": "That's fine. Don't worry. You're fine.", "session_id": 6384, "sequence_id": 86, "annotations": []}
{"role": "volunteer", "content": "I'm still here", "session_id": 6384, "sequence_id": 87, "annotations": []}
{"role": "student", "content": "Yes, yes, yes. So the question, um, so the core is saying that", "session_id": 6384, "sequence_id": 88, "annotations": []}
{"role": "student", "content": "a study of whether color blind individuals can distinguish gray shades better than the the population at large.", "session_id": 6384, "sequence_id": 89, "annotations": []}
{"role": "volunteer", "content": "OK.", "session_id": 6384, "sequence_id": 90, "annotations": []}
{"role": "student", "content": "and what I thought, so for my type one, where I'm rejecting the no hypothesis when the known hypothesis is true. I put color blind individuals can distinguish gray shades better than the population at large, which is not true, like it's incorrect.", "session_id": 6384, "sequence_id": 91, "annotations": []}
{"role": "volunteer", "content": "OK, so the null hypothesis is always basically the status quo, which says the null hypothesis would say, I'm just saying this to get my understanding correct. The null hypothesis would say that colorblind individuals", "session_id": 6384, "sequence_id": 92, "annotations": []}
{"role": "volunteer", "content": "aren't any better than", "session_id": 6384, "sequence_id": 93, "annotations": []}
{"role": "volunteer", "content": "the normal population at distinguishing grade, right? That would be", "session_id": 6384, "sequence_id": 94, "annotations": []}
{"role": "volunteer", "content": "the null hypothesis", "session_id": 6384, "sequence_id": 95, "annotations": []}
{"role": "volunteer", "content": "Repeat your statement again what you said.", "session_id": 6384, "sequence_id": 96, "annotations": []}
{"role": "volunteer", "content": "for", "session_id": 6384, "sequence_id": 97, "annotations": []}
{"role": "student", "content": "I said color blind individuals can distinguish gray shades better than population at large, which is not true.", "session_id": 6384, "sequence_id": 98, "annotations": []}
{"role": "volunteer", "content": "um", "session_id": 6384, "sequence_id": 99, "annotations": []}
{"role": "volunteer", "content": "when you say which is not true, what do you, what are you saying with that last little statement?", "session_id": 6384, "sequence_id": 100, "annotations": []}
{"role": "student", "content": "No, I put, so I put like color blind individuals can", "session_id": 6384, "sequence_id": 101, "annotations": []}
{"role": "volunteer", "content": "Oh.", "session_id": 6384, "sequence_id": 102, "annotations": []}
{"role": "student", "content": "distinguish gray shades better than the population at large, and then I put a not true like that's not a true statement.", "session_id": 6384, "sequence_id": 103, "annotations": []}
{"role": "volunteer", "content": "yeah", "session_id": 6384, "sequence_id": 104, "annotations": []}
{"role": "volunteer", "content": "So again, I, in that way I would say it is", "session_id": 6384, "sequence_id": 105, "annotations": []}
{"role": "volunteer", "content": "um,", "session_id": 6384, "sequence_id": 106, "annotations": []}
{"role": "volunteer", "content": "there is no difference between color blind people's ability to distinguish gray color.", "session_id": 6384, "sequence_id": 107, "annotations": []}
{"role": "volunteer", "content": "between them and the norm and the overall population, so.", "session_id": 6384, "sequence_id": 108, "annotations": []}
{"role": "volunteer", "content": "um, or the", "session_id": 6384, "sequence_id": 109, "annotations": []}
{"role": "student", "content": "There will be, that would be in my correct decisions, right? Where I said no difference.", "session_id": 6384, "sequence_id": 110, "annotations": []}
{"role": "volunteer", "content": "right, there is no difference between the two is the null hypothesis.", "session_id": 6384, "sequence_id": 111, "annotations": []}
{"role": "volunteer", "content": "There is no difference between color blind people", "session_id": 6384, "sequence_id": 112, "annotations": []}
{"role": "volunteer", "content": "and non-color blind people.", "session_id": 6384, "sequence_id": 113, "annotations": []}
{"role": "volunteer", "content": "with respect to distinguishing gray", "session_id": 6384, "sequence_id": 114, "annotations": []}
{"role": "volunteer", "content": "colors, gray shades.", "session_id": 6384, "sequence_id": 115, "annotations": []}
{"role": "volunteer", "content": "There is no difference. That would be the no hypothesis.", "session_id": 6384, "sequence_id": 116, "annotations": []}
{"role": "student", "content": "No, that would be my correct decision though.", "session_id": 6384, "sequence_id": 117, "annotations": []}
{"role": "volunteer", "content": "So,", "session_id": 6384, "sequence_id": 118, "annotations": []}
{"role": "volunteer", "content": "um", "session_id": 6384, "sequence_id": 119, "annotations": []}
{"role": "student", "content": "Cause I thought so for the type one, I just put like um the color blind individuals can distinguish gray shades better than the population at large, which is a which is an incorrect statement. That's my type *****.", "session_id": 6384, "sequence_id": 120, "annotations": []}
{"role": "volunteer", "content": "right, so if um", "session_id": 6384, "sequence_id": 121, "annotations": []}
{"role": "volunteer", "content": "if we", "session_id": 6384, "sequence_id": 122, "annotations": []}
{"role": "volunteer", "content": "if we performed it, I'm just doing this for my own benefit more than anything. If we", "session_id": 6384, "sequence_id": 123, "annotations": []}
{"role": "volunteer", "content": "we do the calculation and we find the P value", "session_id": 6384, "sequence_id": 124, "annotations": []}
{"role": "volunteer", "content": "to be, we would find the p-value to be", "session_id": 6384, "sequence_id": 125, "annotations": []}
{"role": "volunteer", "content": "a small number, and it would put it in the range", "session_id": 6384, "sequence_id": 126, "annotations": []}
{"role": "volunteer", "content": "where we would", "session_id": 6384, "sequence_id": 127, "annotations": []}
{"role": "volunteer", "content": "um", "session_id": 6384, "sequence_id": 128, "annotations": []}
{"role": "volunteer", "content": "we", "session_id": 6384, "sequence_id": 129, "annotations": []}
{"role": "volunteer", "content": "um", "session_id": 6384, "sequence_id": 130, "annotations": []}
{"role": "volunteer", "content": "it, it would be smaller than our significance level.", "session_id": 6384, "sequence_id": 131, "annotations": []}
{"role": "volunteer", "content": "and we would um", "session_id": 6384, "sequence_id": 132, "annotations": []}
{"role": "volunteer", "content": "but we would go ahead and um reject", "session_id": 6384, "sequence_id": 133, "annotations": []}
{"role": "volunteer", "content": "the null hypothesis will be rejected in that point.", "session_id": 6384, "sequence_id": 134, "annotations": []}
{"role": "volunteer", "content": "even though that would be a mistake.", "session_id": 6384, "sequence_id": 135, "annotations": []}
{"role": "student", "content": "Yeah. So what I said for my type one error is correct, right?", "session_id": 6384, "sequence_id": 136, "annotations": []}
{"role": "volunteer", "content": "Say it one more time for me, please.", "session_id": 6384, "sequence_id": 137, "annotations": []}
{"role": "student", "content": "I said color blind individuals can distinguish gray shades better than the population at large, which is not true. It's an incorrect statement.", "session_id": 6384, "sequence_id": 138, "annotations": []}
{"role": "volunteer", "content": "OK. So, it sounds", "session_id": 6384, "sequence_id": 139, "annotations": []}
{"role": "volunteer", "content": "that sounds right to me, to what you said.", "session_id": 6384, "sequence_id": 140, "annotations": []}
{"role": "student", "content": "And then my correct decisions would be that there is no difference between color blind individuals and the population and non non color blind individuals, um", "session_id": 6384, "sequence_id": 141, "annotations": []}
{"role": "volunteer", "content": "So", "session_id": 6384, "sequence_id": 142, "annotations": []}
{"role": "volunteer", "content": "and that", "session_id": 6384, "sequence_id": 143, "annotations": []}
{"role": "student", "content": "no, no, no. Let me, let me, let me rephrase it.", "session_id": 6384, "sequence_id": 144, "annotations": []}
{"role": "volunteer", "content": "that, that is the, that is the no, that is the no hypothesis is what you just said.", "session_id": 6384, "sequence_id": 145, "annotations": []}
{"role": "student", "content": "No, I was saying my correct decision. I told you my type one error, which is that color blind individuals can distinguish gray shades better than population at large, which is an incorrect statement, but then my correct decision in the next box is saying um there is no difference between color blind individuals, and the population at large at distinguishing", "session_id": 6384, "sequence_id": 146, "annotations": []}
{"role": "student", "content": "gray shades", "session_id": 6384, "sequence_id": 147, "annotations": []}
{"role": "volunteer", "content": "OK. I'm, I'm, yeah, I, I know you're trying to fill out a paper and I", "session_id": 6384, "sequence_id": 148, "annotations": []}
{"role": "volunteer", "content": "So I, I, I agree with what you're saying.", "session_id": 6384, "sequence_id": 149, "annotations": []}
{"role": "volunteer", "content": "best as I can determine.", "session_id": 6384, "sequence_id": 150, "annotations": []}
{"role": "volunteer", "content": "So you're, you're filling out a like uh", "session_id": 6384, "sequence_id": 151, "annotations": []}
{"role": "volunteer", "content": "these are correct", "session_id": 6384, "sequence_id": 152, "annotations": []}
{"role": "student", "content": "I'm, I'm doing like a practice thing.", "session_id": 6384, "sequence_id": 153, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 6384, "sequence_id": 154, "annotations": []}
{"role": "volunteer", "content": "All right", "session_id": 6384, "sequence_id": 155, "annotations": []}
{"role": "volunteer", "content": "Sounds, sounds good to me", "session_id": 6384, "sequence_id": 156, "annotations": []}
{"role": "student", "content": "All I could say for my correct decision, like there is no difference between color blind individuals, um, being able to distinguish gray shades better than the population at large.", "session_id": 6384, "sequence_id": 157, "annotations": []}
{"role": "volunteer", "content": "Mhm", "session_id": 6384, "sequence_id": 158, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 6384, "sequence_id": 159, "annotations": []}
{"role": "student", "content": "And then my type 2 error, I said color blind individuals can distinguish gray shades better than the population at large, and this is also an incorrect statement.", "session_id": 6384, "sequence_id": 160, "annotations": []}
{"role": "volunteer", "content": "Right", "session_id": 6384, "sequence_id": 161, "annotations": []}
{"role": "volunteer", "content": "Sounds, sounds correct", "session_id": 6384, "sequence_id": 162, "annotations": []}
{"role": "student", "content": "OK. So my correct decision would be when I retain the no hypothesis when the no hypothesis is true that there is a difference between color blind individuals and", "session_id": 6384, "sequence_id": 163, "annotations": []}
{"role": "volunteer", "content": "Yeah, the, um", "session_id": 6384, "sequence_id": 164, "annotations": []}
{"role": "student", "content": "there's a difference between color blind individuals and the um who can distinguish gray shades better than the population at large.", "session_id": 6384, "sequence_id": 165, "annotations": []}
{"role": "volunteer", "content": "right, that would be", "session_id": 6384, "sequence_id": 166, "annotations": []}
{"role": "volunteer", "content": "right, the essentially the alternative", "session_id": 6384, "sequence_id": 167, "annotations": []}
{"role": "volunteer", "content": "uh", "session_id": 6384, "sequence_id": 168, "annotations": []}
{"role": "volunteer", "content": "the alternative hypothesis is true.", "session_id": 6384, "sequence_id": 169, "annotations": []}
{"role": "volunteer", "content": "Yeah.", "session_id": 6384, "sequence_id": 170, "annotations": []}
{"role": "student", "content": "Do you want me to tell you the next one. I have one more.", "session_id": 6384, "sequence_id": 171, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 6384, "sequence_id": 172, "annotations": []}
{"role": "student", "content": "OK, so it says a study comparing individuals who have never been in psychotherapy to the general public to see if there are more talented of other people's to save their more tolerant of other people's upsets, then is the general population.", "session_id": 6384, "sequence_id": 173, "annotations": []}
{"role": "volunteer", "content": "Read it to me one more time, please. I'm sorry.", "session_id": 6384, "sequence_id": 174, "annotations": []}
{"role": "student", "content": "A study comparing individuals who have ever been in psychotherapy to the general public to see if there are more tolerant of other people's upset, then is the general population.", "session_id": 6384, "sequence_id": 175, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 6384, "sequence_id": 176, "annotations": []}
{"role": "volunteer", "content": "Psychotherapy, was that what", "session_id": 6384, "sequence_id": 177, "annotations": []}
{"role": "volunteer", "content": "you said?", "session_id": 6384, "sequence_id": 178, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 6384, "sequence_id": 179, "annotations": []}
{"role": "volunteer", "content": "Who, who, who have been in psychotherapy to see if they're more tolerant, OK.", "session_id": 6384, "sequence_id": 180, "annotations": []}
{"role": "student", "content": "So my type one error I wrote individuals who have been in psychotherapy or more tolerant of other people's upsets than the general population, which is an incorrect statement.", "session_id": 6384, "sequence_id": 181, "annotations": []}
{"role": "volunteer", "content": "So you're type one error, say again one more time, please.", "session_id": 6384, "sequence_id": 182, "annotations": []}
{"role": "student", "content": "I said, Individuals who have been in psychotherapy are more tolerant of other people's upsets than the general population.", "session_id": 6384, "sequence_id": 183, "annotations": []}
{"role": "student", "content": "and it's an incorrect statement.", "session_id": 6384, "sequence_id": 184, "annotations": []}
{"role": "volunteer", "content": "Right.", "session_id": 6384, "sequence_id": 185, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 6384, "sequence_id": 186, "annotations": []}
{"role": "student", "content": "So then it would be like there is no difference between individuals who have been in psychotherapy that are more tolerant", "session_id": 6384, "sequence_id": 187, "annotations": []}
{"role": "student", "content": "of other people's upsets than the population at, um, then the general population, correct?", "session_id": 6384, "sequence_id": 188, "annotations": []}
{"role": "volunteer", "content": "That's the type 2.", "session_id": 6384, "sequence_id": 189, "annotations": []}
{"role": "student", "content": "No, no, no, I'm talking about my correct decision.", "session_id": 6384, "sequence_id": 190, "annotations": []}
{"role": "volunteer", "content": "Oh, OK", "session_id": 6384, "sequence_id": 191, "annotations": []}
{"role": "student", "content": "What would it be? Would it be something like there is no difference between individuals who have been in psychotherapy that are more tolerant of other people's upsets, then the population in general.", "session_id": 6384, "sequence_id": 192, "annotations": []}
{"role": "volunteer", "content": "Yes, I agree. There, there would be no difference.", "session_id": 6384, "sequence_id": 193, "annotations": []}
{"role": "volunteer", "content": "if, if, yeah, that's saying that the no hypothesis weren't, was in fact true.", "session_id": 6384, "sequence_id": 194, "annotations": []}
{"role": "volunteer", "content": "that there is no difference. Yeah, I agree with what you said. That's a rather", "session_id": 6384, "sequence_id": 195, "annotations": []}
{"role": "volunteer", "content": "cumbersome thing to", "session_id": 6384, "sequence_id": 196, "annotations": []}
{"role": "volunteer", "content": "put on a problem.", "session_id": 6384, "sequence_id": 197, "annotations": []}
{"role": "volunteer", "content": "They're really", "session_id": 6384, "sequence_id": 198, "annotations": []}
{"role": "volunteer", "content": "a lot of words there, but um, yes, I agree with what you just said.", "session_id": 6384, "sequence_id": 199, "annotations": []}
{"role": "student", "content": "And then my type 2 error. Are you ready?", "session_id": 6384, "sequence_id": 200, "annotations": []}
{"role": "volunteer", "content": "Mhm.", "session_id": 6384, "sequence_id": 201, "annotations": []}
{"role": "student", "content": "Individuals who have been in psychotherapy are more tolerant of other people's upsets, then the general population is incorrect.", "session_id": 6384, "sequence_id": 202, "annotations": []}
{"role": "volunteer", "content": "Mhm", "session_id": 6384, "sequence_id": 203, "annotations": []}
{"role": "student", "content": "So my correct decision, I would say there's a difference between individuals who have been in psychotherapy that they are, they are more tolerant of other people's upsets, then the general population.", "session_id": 6384, "sequence_id": 204, "annotations": []}
{"role": "volunteer", "content": "Yes", "session_id": 6384, "sequence_id": 205, "annotations": []}
{"role": "volunteer", "content": "that would be the true statement, right?", "session_id": 6384, "sequence_id": 206, "annotations": []}
{"role": "student", "content": "Yeah, am I correct decision?", "session_id": 6384, "sequence_id": 207, "annotations": []}
{"role": "volunteer", "content": "Yes.", "session_id": 6384, "sequence_id": 208, "annotations": []}
{"role": "volunteer", "content": "So, the way I'm just um I have to try to", "session_id": 6384, "sequence_id": 209, "annotations": []}
{"role": "volunteer", "content": "keep this in my mind", "session_id": 6384, "sequence_id": 210, "annotations": []}
{"role": "volunteer", "content": "kind of with the tests that are performed. I'm just talking here for my own benefit.", "session_id": 6384, "sequence_id": 211, "annotations": []}
{"role": "volunteer", "content": "So the way you get a type one error", "session_id": 6384, "sequence_id": 212, "annotations": []}
{"role": "volunteer", "content": "is you have a certain significance level", "session_id": 6384, "sequence_id": 213, "annotations": []}
{"role": "volunteer", "content": "like 5%", "session_id": 6384, "sequence_id": 214, "annotations": []}
{"role": "volunteer", "content": "significance level. So you've got a little area on your normal curve", "session_id": 6384, "sequence_id": 215, "annotations": []}
{"role": "volunteer", "content": "and you find out that your p-value is less than that number", "session_id": 6384, "sequence_id": 216, "annotations": []}
{"role": "volunteer", "content": "Well, in that case, you're, you're rejecting the null hypothesis, even though it was true.", "session_id": 6384, "sequence_id": 217, "annotations": []}
{"role": "volunteer", "content": "That, that's how you make that type one error. Yeah, I'm just thinking about", "session_id": 6384, "sequence_id": 218, "annotations": []}
{"role": "volunteer", "content": "calculation here, which helps me understand it. So if I look at the normal curve and I'm all, let's just say", "session_id": 6384, "sequence_id": 219, "annotations": []}
{"role": "volunteer", "content": "I'm looking at one side where there's a 5%", "session_id": 6384, "sequence_id": 220, "annotations": []}
{"role": "volunteer", "content": "um", "session_id": 6384, "sequence_id": 221, "annotations": []}
{"role": "volunteer", "content": "area there, and I, I do a test and I get a a P value that's 0.02, let's say. So I'm in that critical region and therefore, I think there's a difference that, that the no hydro hypothesis is, is not true, but in fact it is true. That's how I make a type one error. That's the way I think of it.", "session_id": 6384, "sequence_id": 222, "annotations": []}
{"role": "volunteer", "content": "Did you?", "session_id": 6384, "sequence_id": 223, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 6384, "sequence_id": 224, "annotations": []}
{"role": "volunteer", "content": "so", "session_id": 6384, "sequence_id": 225, "annotations": []}
{"role": "volunteer", "content": "Mhm mhm", "session_id": 6384, "sequence_id": 226, "annotations": []}
{"role": "student", "content": "This confusing for me. I just think of it as like, um, I just write down the whole statement, kind of, and then I just put a knot through like that's not a true statement.", "session_id": 6384, "sequence_id": 227, "annotations": []}
{"role": "volunteer", "content": "OK. Yeah, I, I, I get it. OK.", "session_id": 6384, "sequence_id": 228, "annotations": []}
{"role": "volunteer", "content": "Right", "session_id": 6384, "sequence_id": 229, "annotations": []}
{"role": "student", "content": "Yeah, because I look at it as rejecting the no hypothesis when the no hypothesis is in fact true and then type 2, I look at it as failing to reject the no hypothesis. In fact, when it's false.", "session_id": 6384, "sequence_id": 230, "annotations": []}
{"role": "volunteer", "content": "Failing to reject the null hypothesis when it is false.", "session_id": 6384, "sequence_id": 231, "annotations": []}
{"role": "volunteer", "content": "Um, the, the first one you the type one error you defined exactly right.", "session_id": 6384, "sequence_id": 232, "annotations": []}
{"role": "volunteer", "content": "Um.", "session_id": 6384, "sequence_id": 233, "annotations": []}
{"role": "volunteer", "content": "the type 2 error, say, say your definition of the type 2 error again.", "session_id": 6384, "sequence_id": 234, "annotations": []}
{"role": "student", "content": "It's for failing to reject the no hypothesis when the nuhapothesis is false.", "session_id": 6384, "sequence_id": 235, "annotations": []}
{"role": "volunteer", "content": "Correct. I get it. Yup. That sounds, yeah. I like your definitions there and you've tried to adhere to them.", "session_id": 6384, "sequence_id": 236, "annotations": []}
{"role": "volunteer", "content": "in these problems that we discussed.", "session_id": 6384, "sequence_id": 237, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 6384, "sequence_id": 238, "annotations": []}
{"role": "student", "content": "Mm", "session_id": 6384, "sequence_id": 239, "annotations": []}
{"role": "volunteer", "content": "So, you have a test on this tomorrow. Is that correct?", "session_id": 6384, "sequence_id": 240, "annotations": []}
{"role": "student", "content": "Yes, and, um, yeah.", "session_id": 6384, "sequence_id": 241, "annotations": []}
{"role": "volunteer", "content": "OK.", "session_id": 6384, "sequence_id": 242, "annotations": []}
{"role": "volunteer", "content": "And it doesn't, is it involving more just stating this stuff, or do you actually get", "session_id": 6384, "sequence_id": 243, "annotations": []}
{"role": "volunteer", "content": "will you actually be getting", "session_id": 6384, "sequence_id": 244, "annotations": []}
{"role": "student", "content": "That's, that's, this is all I had to do. I had to use like a teeth teacher like, yeah, and I to why the things in 4 boxes.", "session_id": 6384, "sequence_id": 245, "annotations": []}
{"role": "volunteer", "content": "OK. Well", "session_id": 6384, "sequence_id": 246, "annotations": []}
{"role": "volunteer", "content": "it sounds like you've got it to me, got it down, and they must be taking things very slowly here, just trying to get you to work with the null hypothesis and the alternative hypothesis and understand", "session_id": 6384, "sequence_id": 247, "annotations": []}
{"role": "volunteer", "content": "what these errors are", "session_id": 6384, "sequence_id": 248, "annotations": []}
{"role": "volunteer", "content": "by stating them in, in verbiage, right?", "session_id": 6384, "sequence_id": 249, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 6384, "sequence_id": 250, "annotations": []}
{"role": "volunteer", "content": "Yeah.", "session_id": 6384, "sequence_id": 251, "annotations": []}
{"role": "volunteer", "content": "Mhm", "session_id": 6384, "sequence_id": 252, "annotations": []}
{"role": "student", "content": "And I wanted to ask you one more question, if you don't mind.", "session_id": 6384, "sequence_id": 253, "annotations": []}
{"role": "volunteer", "content": "I'll try", "session_id": 6384, "sequence_id": 254, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 6384, "sequence_id": 255, "annotations": []}
{"role": "volunteer", "content": "Yes", "session_id": 6384, "sequence_id": 256, "annotations": []}
{"role": "volunteer", "content": "Yes", "session_id": 6384, "sequence_id": 257, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 6384, "sequence_id": 258, "annotations": []}
{"role": "student", "content": "So are you are you familiar with the empirical rule like the, the normal curve, like 34%, 14%, and 2%, it's divided like that on both sides.", "session_id": 6384, "sequence_id": 259, "annotations": []}
{"role": "volunteer", "content": "right", "session_id": 6384, "sequence_id": 260, "annotations": []}
{"role": "volunteer", "content": "Yes, I am familiar with", "session_id": 6384, "sequence_id": 261, "annotations": []}
{"role": "volunteer", "content": "that.", "session_id": 6384, "sequence_id": 262, "annotations": []}
{"role": "student", "content": "Familiar with it, right", "session_id": 6384, "sequence_id": 263, "annotations": []}
{"role": "volunteer", "content": "Yes", "session_id": 6384, "sequence_id": 264, "annotations": []}
{"role": "student", "content": "I have a question like a part of a question that you, I want you to explain it to me.", "session_id": 6384, "sequence_id": 265, "annotations": []}
{"role": "volunteer", "content": "OK.", "session_id": 6384, "sequence_id": 266, "annotations": []}
{"role": "student", "content": "It's, it's from a test.", "session_id": 6384, "sequence_id": 267, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 6384, "sequence_id": 268, "annotations": []}
{"role": "student", "content": "Let me get it", "session_id": 6384, "sequence_id": 269, "annotations": []}
{"role": "volunteer", "content": "Sure.", "session_id": 6384, "sequence_id": 270, "annotations": []}
{"role": "student", "content": "It's saying um", "session_id": 6384, "sequence_id": 271, "annotations": []}
{"role": "student", "content": "So, the problem says a business uses a 7 point scale about satisfaction with services it provides to clients. The ratings are normally distributed with a mean of 4.8, and a standard deviation of 0.5. What percentage.", "session_id": 6384, "sequence_id": 272, "annotations": []}
{"role": "volunteer", "content": "Hold on a 2nd. 448, 4.8 is the mean.", "session_id": 6384, "sequence_id": 273, "annotations": []}
{"role": "student", "content": "Yes.", "session_id": 6384, "sequence_id": 274, "annotations": []}
{"role": "volunteer", "content": "and the standard deviation is what?", "session_id": 6384, "sequence_id": 275, "annotations": []}
{"role": "student", "content": "0.5", "session_id": 6384, "sequence_id": 276, "annotations": []}
{"role": "volunteer", "content": "0.5. OK", "session_id": 6384, "sequence_id": 277, "annotations": []}
{"role": "student", "content": "What percentage of clients weighed their satisfaction above a 5, above a 6, above a 4, and below 4.", "session_id": 6384, "sequence_id": 278, "annotations": []}
{"role": "volunteer", "content": "OK, so you're supposed to use the empirical rule to solve this.", "session_id": 6384, "sequence_id": 279, "annotations": []}
{"role": "volunteer", "content": "OK, so", "session_id": 6384, "sequence_id": 280, "annotations": []}
{"role": "student", "content": "Yes, um, it says use the normal code table and include a sketch for each.", "session_id": 6384, "sequence_id": 281, "annotations": []}
{"role": "volunteer", "content": "OK, is it the empirical rule or the normal?", "session_id": 6384, "sequence_id": 282, "annotations": []}
{"role": "volunteer", "content": "curve? Did it say empirical rule or did it say?", "session_id": 6384, "sequence_id": 283, "annotations": []}
{"role": "student", "content": "It says bolt.", "session_id": 6384, "sequence_id": 284, "annotations": []}
{"role": "volunteer", "content": "OK.", "session_id": 6384, "sequence_id": 285, "annotations": []}
{"role": "volunteer", "content": "So", "session_id": 6384, "sequence_id": 286, "annotations": []}
{"role": "volunteer", "content": "um", "session_id": 6384, "sequence_id": 287, "annotations": []}
{"role": "student", "content": "It says one of them, but I have to use both.", "session_id": 6384, "sequence_id": 288, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 6384, "sequence_id": 289, "annotations": []}
{"role": "volunteer", "content": "Um, so, I, you gave me the mean and the standard deviation and ask me the first question again. What is, what is the question, first question that I'm supposed to.", "session_id": 6384, "sequence_id": 290, "annotations": []}
{"role": "volunteer", "content": "we're supposed to", "session_id": 6384, "sequence_id": 291, "annotations": []}
{"role": "student", "content": "Like, first part is above a 5.", "session_id": 6384, "sequence_id": 292, "annotations": []}
{"role": "volunteer", "content": "Above a 5. OK, so I'm going to draw myself a little picture here.", "session_id": 6384, "sequence_id": 293, "annotations": []}
{"role": "volunteer", "content": "448.", "session_id": 6384, "sequence_id": 294, "annotations": []}
{"role": "student", "content": "And then I, I actually solve the first part of it, and I got a Z equals 0.4.", "session_id": 6384, "sequence_id": 295, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 6384, "sequence_id": 296, "annotations": []}
{"role": "volunteer", "content": "So", "session_id": 6384, "sequence_id": 297, "annotations": []}
{"role": "volunteer", "content": "what we're gonna do is we're gonna take 5", "session_id": 6384, "sequence_id": 298, "annotations": []}
{"role": "student", "content": "minus", "session_id": 6384, "sequence_id": 299, "annotations": []}
{"role": "volunteer", "content": "0 minus 4.8.", "session_id": 6384, "sequence_id": 300, "annotations": []}
{"role": "student", "content": "Yes.", "session_id": 6384, "sequence_id": 301, "annotations": []}
{"role": "volunteer", "content": "and divided by 0.5.", "session_id": 6384, "sequence_id": 302, "annotations": []}
{"role": "volunteer", "content": "And let me do that on my calculator here.", "session_id": 6384, "sequence_id": 303, "annotations": []}
{"role": "volunteer", "content": "So that's 0.2", "session_id": 6384, "sequence_id": 304, "annotations": []}
{"role": "volunteer", "content": "divided by 0.5, right?", "session_id": 6384, "sequence_id": 305, "annotations": []}
{"role": "volunteer", "content": "So", "session_id": 6384, "sequence_id": 306, "annotations": []}
{"role": "student", "content": "Yeah.", "session_id": 6384, "sequence_id": 307, "annotations": []}
{"role": "volunteer", "content": "are we supposed to find above or below that value.", "session_id": 6384, "sequence_id": 308, "annotations": []}
{"role": "student", "content": "Above a 5", "session_id": 6384, "sequence_id": 309, "annotations": []}
{"role": "volunteer", "content": "OK.", "session_id": 6384, "sequence_id": 310, "annotations": []}
{"role": "volunteer", "content": "So the Z value is 0.4.", "session_id": 6384, "sequence_id": 311, "annotations": []}
{"role": "volunteer", "content": "So I'm gonna go into my calculator, which has the normal", "session_id": 6384, "sequence_id": 312, "annotations": []}
{"role": "volunteer", "content": "um", "session_id": 6384, "sequence_id": 313, "annotations": []}
{"role": "volunteer", "content": "distribution", "session_id": 6384, "sequence_id": 314, "annotations": []}
{"role": "volunteer", "content": "Yeah.", "session_id": 6384, "sequence_id": 315, "annotations": []}
{"role": "student", "content": "I just want you to like do one or two with me so I can understand what you do.", "session_id": 6384, "sequence_id": 316, "annotations": []}
{"role": "volunteer", "content": "OK, hold on, please", "session_id": 6384, "sequence_id": 317, "annotations": []}
{"role": "volunteer", "content": "OK, so", "session_id": 6384, "sequence_id": 318, "annotations": []}
{"role": "volunteer", "content": "just taking the uh the amount above 5, it's about", "session_id": 6384, "sequence_id": 319, "annotations": []}
{"role": "volunteer", "content": "if I use the exact values.", "session_id": 6384, "sequence_id": 320, "annotations": []}
{"role": "volunteer", "content": "it comes out to 0.3446.", "session_id": 6384, "sequence_id": 321, "annotations": []}
{"role": "volunteer", "content": "3", "session_id": 6384, "sequence_id": 322, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 6384, "sequence_id": 323, "annotations": []}
{"role": "student", "content": "Yes. How did you, but how did you get that value from the normal co table. That's what I'm trying to figure out. How is it?", "session_id": 6384, "sequence_id": 324, "annotations": []}
{"role": "volunteer", "content": "OK, do you actually, do you actually have to use a paper table or do you get to use a calculator.", "session_id": 6384, "sequence_id": 325, "annotations": []}
{"role": "volunteer", "content": "OK.", "session_id": 6384, "sequence_id": 326, "annotations": []}
{"role": "student", "content": "I had to use a paper table, like it's on.", "session_id": 6384, "sequence_id": 327, "annotations": []}
{"role": "volunteer", "content": "they all have a little bit of different instructions. I don't, I always use a calculator now.", "session_id": 6384, "sequence_id": 328, "annotations": []}
{"role": "volunteer", "content": "but um you have to look at whatever instructions that are on your", "session_id": 6384, "sequence_id": 329, "annotations": []}
{"role": "volunteer", "content": "um", "session_id": 6384, "sequence_id": 330, "annotations": []}
{"role": "volunteer", "content": "some of them, let me", "session_id": 6384, "sequence_id": 331, "annotations": []}
{"role": "student", "content": "I'm, I'm asking like um how did you get the 34.46%.", "session_id": 6384, "sequence_id": 332, "annotations": []}
{"role": "volunteer", "content": "OK. So what I did", "session_id": 6384, "sequence_id": 333, "annotations": []}
{"role": "volunteer", "content": "was I used the calculator", "session_id": 6384, "sequence_id": 334, "annotations": []}
{"role": "volunteer", "content": "and", "session_id": 6384, "sequence_id": 335, "annotations": []}
{"role": "student", "content": "But do you know how to look it up on the paper table?", "session_id": 6384, "sequence_id": 336, "annotations": []}
{"role": "volunteer", "content": "well, the, do you have", "session_id": 6384, "sequence_id": 337, "annotations": []}
{"role": "volunteer", "content": "some they're, they're, they're very", "session_id": 6384, "sequence_id": 338, "annotations": []}
{"role": "volunteer", "content": "some of them.", "session_id": 6384, "sequence_id": 339, "annotations": []}
{"role": "student", "content": "I do have a paper table.", "session_id": 6384, "sequence_id": 340, "annotations": []}
{"role": "volunteer", "content": "So when, when you answer these que questions.", "session_id": 6384, "sequence_id": 341, "annotations": []}
{"role": "volunteer", "content": "how are you supposed to do it if you don't have a table.", "session_id": 6384, "sequence_id": 342, "annotations": []}
{"role": "student", "content": "I do have a paper table.", "session_id": 6384, "sequence_id": 343, "annotations": []}
{"role": "volunteer", "content": "Oh, OK. Can, can you, can't show that on the screen, can you?", "session_id": 6384, "sequence_id": 344, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 6384, "sequence_id": 345, "annotations": []}
{"role": "volunteer", "content": "Um", "session_id": 6384, "sequence_id": 346, "annotations": []}
{"role": "student", "content": "No, my textbook wouldn't, it doesn't allow me to copy, but I can tell you the heading of the table.", "session_id": 6384, "sequence_id": 347, "annotations": []}
{"role": "volunteer", "content": "OK, go ahead", "session_id": 6384, "sequence_id": 348, "annotations": []}
{"role": "student", "content": "Mhm", "session_id": 6384, "sequence_id": 349, "annotations": []}
{"role": "student", "content": "The table is um normal cold areas, percentage of the normal curve between the mean and the Z scores shown and percentage of scores in the tail for disease scores shown.", "session_id": 6384, "sequence_id": 350, "annotations": []}
{"role": "volunteer", "content": "OK. So in this case", "session_id": 6384, "sequence_id": 351, "annotations": []}
{"role": "student", "content": "So when I go to", "session_id": 6384, "sequence_id": 352, "annotations": []}
{"role": "volunteer", "content": "so just, let's just stop there. We, we computed the Z score, which you agree is 0.4, right?", "session_id": 6384, "sequence_id": 353, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 6384, "sequence_id": 354, "annotations": []}
{"role": "volunteer", "content": "So I, I think what I'm hearing is you have an entry for the tail of that.", "session_id": 6384, "sequence_id": 355, "annotations": []}
{"role": "volunteer", "content": "for the tail, right", "session_id": 6384, "sequence_id": 356, "annotations": []}
{"role": "volunteer", "content": "So if you look up, the Z score of 0.4 in your paper table.", "session_id": 6384, "sequence_id": 357, "annotations": []}
{"role": "student", "content": "Oh", "session_id": 6384, "sequence_id": 358, "annotations": []}
{"role": "volunteer", "content": "Do you see an uh a tail", "session_id": 6384, "sequence_id": 359, "annotations": []}
{"role": "volunteer", "content": "value?", "session_id": 6384, "sequence_id": 360, "annotations": []}
{"role": "student", "content": "Yeah, person intel. Oh, I see how, how, how that person came.", "session_id": 6384, "sequence_id": 361, "annotations": []}
{"role": "volunteer", "content": "0.344", "session_id": 6384, "sequence_id": 362, "annotations": []}
{"role": "volunteer", "content": "6.", "session_id": 6384, "sequence_id": 363, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 6384, "sequence_id": 364, "annotations": []}
{"role": "volunteer", "content": "Good. So that, that explains that problem anyhow. So what you're doing is you're, your Z score normalizes it to a", "session_id": 6384, "sequence_id": 365, "annotations": []}
{"role": "volunteer", "content": "a, a mean of zero", "session_id": 6384, "sequence_id": 366, "annotations": []}
{"role": "volunteer", "content": "and a standard deviation of one.", "session_id": 6384, "sequence_id": 367, "annotations": []}
{"role": "volunteer", "content": "And then you're just looking at the area", "session_id": 6384, "sequence_id": 368, "annotations": []}
{"role": "volunteer", "content": "since they asked for the percent above the Z value, above the", "session_id": 6384, "sequence_id": 369, "annotations": []}
{"role": "volunteer", "content": "um", "session_id": 6384, "sequence_id": 370, "annotations": []}
{"role": "volunteer", "content": "5 in this case", "session_id": 6384, "sequence_id": 371, "annotations": []}
{"role": "volunteer", "content": "Um", "session_id": 6384, "sequence_id": 372, "annotations": []}
{"role": "volunteer", "content": "we, we looked at that tail", "session_id": 6384, "sequence_id": 373, "annotations": []}
{"role": "volunteer", "content": "above the Z value, and you see your 0.344", "session_id": 6384, "sequence_id": 374, "annotations": []}
{"role": "volunteer", "content": "6.", "session_id": 6384, "sequence_id": 375, "annotations": []}
{"role": "volunteer", "content": "So that explains", "session_id": 6384, "sequence_id": 376, "annotations": []}
{"role": "student", "content": "Yeah. Let me, cause for now B says Part B", "session_id": 6384, "sequence_id": 377, "annotations": []}
{"role": "volunteer", "content": "mhm", "session_id": 6384, "sequence_id": 378, "annotations": []}
{"role": "student", "content": "it says above 6, and I have a Z value of positive 2.4.", "session_id": 6384, "sequence_id": 379, "annotations": []}
{"role": "volunteer", "content": "OK, so we would just take 6 minus 4.8, which would be 1.2.", "session_id": 6384, "sequence_id": 380, "annotations": []}
{"role": "volunteer", "content": "and divide it by", "session_id": 6384, "sequence_id": 381, "annotations": []}
{"role": "volunteer", "content": "0.5", "session_id": 6384, "sequence_id": 382, "annotations": []}
{"role": "volunteer", "content": "and you would get", "session_id": 6384, "sequence_id": 383, "annotations": []}
{"role": "volunteer", "content": "2.4, right", "session_id": 6384, "sequence_id": 384, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 6384, "sequence_id": 385, "annotations": []}
{"role": "volunteer", "content": "So you look in your tail end again.", "session_id": 6384, "sequence_id": 386, "annotations": []}
{"role": "volunteer", "content": "and what you get for 2.4.", "session_id": 6384, "sequence_id": 387, "annotations": []}
{"role": "volunteer", "content": "which I can do on my calculator. Let me go ahead and do that.", "session_id": 6384, "sequence_id": 388, "annotations": []}
{"role": "volunteer", "content": "All right.", "session_id": 6384, "sequence_id": 389, "annotations": []}
{"role": "volunteer", "content": "One second", "session_id": 6384, "sequence_id": 390, "annotations": []}
{"role": "volunteer", "content": "Distribution", "session_id": 6384, "sequence_id": 391, "annotations": []}
{"role": "student", "content": "Oh, I see.", "session_id": 6384, "sequence_id": 392, "annotations": []}
{"role": "volunteer", "content": "Hold on, please", "session_id": 6384, "sequence_id": 393, "annotations": []}
{"role": "volunteer", "content": "So we're gonna look for", "session_id": 6384, "sequence_id": 394, "annotations": []}
{"role": "volunteer", "content": "what was the Z value? I said, I'm sorry, I forgotten. 2.4?", "session_id": 6384, "sequence_id": 395, "annotations": []}
{"role": "student", "content": "The Z value is 2.4.", "session_id": 6384, "sequence_id": 396, "annotations": []}
{"role": "volunteer", "content": "2.4", "session_id": 6384, "sequence_id": 397, "annotations": []}
{"role": "volunteer", "content": "And anything above that", "session_id": 6384, "sequence_id": 398, "annotations": []}
{"role": "volunteer", "content": "So what did you get", "session_id": 6384, "sequence_id": 399, "annotations": []}
{"role": "student", "content": "I got 0.82.", "session_id": 6384, "sequence_id": 400, "annotations": []}
{"role": "volunteer", "content": "OK, it should be 0.0082.", "session_id": 6384, "sequence_id": 401, "annotations": []}
{"role": "student", "content": "No, I actually, I actually, well, 0.82%.", "session_id": 6384, "sequence_id": 402, "annotations": []}
{"role": "volunteer", "content": "Well, that doesn't make sense because it's very far in the tail.", "session_id": 6384, "sequence_id": 403, "annotations": []}
{"role": "volunteer", "content": "So you're 6", "session_id": 6384, "sequence_id": 404, "annotations": []}
{"role": "volunteer", "content": "6 and above, right? That's what we're looking for.", "session_id": 6384, "sequence_id": 405, "annotations": []}
{"role": "volunteer", "content": "Um", "session_id": 6384, "sequence_id": 406, "annotations": []}
{"role": "volunteer", "content": "so", "session_id": 6384, "sequence_id": 407, "annotations": []}
{"role": "student", "content": "Above a 6", "session_id": 6384, "sequence_id": 408, "annotations": []}
{"role": "volunteer", "content": "yeah, 6 minus 4.8 is 1.2", "session_id": 6384, "sequence_id": 409, "annotations": []}
{"role": "volunteer", "content": "1.2 divided by 0.5 gives us a value of 2.4.", "session_id": 6384, "sequence_id": 410, "annotations": []}
{"role": "volunteer", "content": "Now, if you take the area in the tail above 2.4, it's only 0.0082.", "session_id": 6384, "sequence_id": 411, "annotations": []}
{"role": "volunteer", "content": "It's very small", "session_id": 6384, "sequence_id": 412, "annotations": []}
{"role": "student", "content": "Yeah, that's what I got.", "session_id": 6384, "sequence_id": 413, "annotations": []}
{"role": "volunteer", "content": "Oh, I thought you said 0.82. You mean 0.0082.", "session_id": 6384, "sequence_id": 414, "annotations": []}
{"role": "student", "content": "Mm, but my, but my like my thing is saying 0.82.", "session_id": 6384, "sequence_id": 415, "annotations": []}
{"role": "volunteer", "content": "No, it, it, it's 00.00. Um, so you're looking at a, a paper", "session_id": 6384, "sequence_id": 416, "annotations": []}
{"role": "volunteer", "content": "you're looking at a paper", "session_id": 6384, "sequence_id": 417, "annotations": []}
{"role": "student", "content": "Yes, it's because it's a paper table.", "session_id": 6384, "sequence_id": 418, "annotations": []}
{"role": "volunteer", "content": "Yeah.", "session_id": 6384, "sequence_id": 419, "annotations": []}
{"role": "volunteer", "content": "So", "session_id": 6384, "sequence_id": 420, "annotations": []}
{"role": "volunteer", "content": "like was the last one.", "session_id": 6384, "sequence_id": 421, "annotations": []}
{"role": "volunteer", "content": "we, we know that we got an answer correct on the last one. Now we're even further along", "session_id": 6384, "sequence_id": 422, "annotations": []}
{"role": "volunteer", "content": "on the tail end of the curve because we're way above", "session_id": 6384, "sequence_id": 423, "annotations": []}
{"role": "volunteer", "content": "you know, 6 is way above um 5.", "session_id": 6384, "sequence_id": 424, "annotations": []}
{"role": "volunteer", "content": "So we're, we know that the area is going to be less", "session_id": 6384, "sequence_id": 425, "annotations": []}
{"role": "volunteer", "content": "And when you say 0.82", "session_id": 6384, "sequence_id": 426, "annotations": []}
{"role": "volunteer", "content": "you're, you're saying it's more area than the first example, which can't be true.", "session_id": 6384, "sequence_id": 427, "annotations": []}
{"role": "volunteer", "content": "So, it, it's kind of funny that you're saying it's 0.82 when the answer is 0.0082.", "session_id": 6384, "sequence_id": 428, "annotations": []}
{"role": "student", "content": "But that's what my paper table says.", "session_id": 6384, "sequence_id": 429, "annotations": []}
{"role": "volunteer", "content": "Well, there's something funny going, does it have any instructions like divide by two or something like that.", "session_id": 6384, "sequence_id": 430, "annotations": []}
{"role": "volunteer", "content": "you don't see", "session_id": 6384, "sequence_id": 431, "annotations": []}
{"role": "student", "content": "No, no, no, we don't divide by two.", "session_id": 6384, "sequence_id": 432, "annotations": []}
{"role": "volunteer", "content": "I know, I know", "session_id": 6384, "sequence_id": 433, "annotations": []}
{"role": "volunteer", "content": "Um, that doesn't make sense to me. I'm sorry. I'm just trying to be", "session_id": 6384, "sequence_id": 434, "annotations": []}
{"role": "volunteer", "content": "So think about this", "session_id": 6384, "sequence_id": 435, "annotations": []}
{"role": "volunteer", "content": "for a minute", "session_id": 6384, "sequence_id": 436, "annotations": []}
{"role": "volunteer", "content": "If", "session_id": 6384, "sequence_id": 437, "annotations": []}
{"role": "volunteer", "content": "if your area was", "session_id": 6384, "sequence_id": 438, "annotations": []}
{"role": "volunteer", "content": "about 30", "session_id": 6384, "sequence_id": 439, "annotations": []}
{"role": "volunteer", "content": "5 % before.", "session_id": 6384, "sequence_id": 440, "annotations": []}
{"role": "volunteer", "content": "and now you're asking just for the amount that's above", "session_id": 6384, "sequence_id": 441, "annotations": []}
{"role": "volunteer", "content": "uh", "session_id": 6384, "sequence_id": 442, "annotations": []}
{"role": "volunteer", "content": "6 instead of above 5.", "session_id": 6384, "sequence_id": 443, "annotations": []}
{"role": "volunteer", "content": "you're gonna have less area than your first answer. There will be less tail on the curve.", "session_id": 6384, "sequence_id": 444, "annotations": []}
{"role": "volunteer", "content": "Um.", "session_id": 6384, "sequence_id": 445, "annotations": []}
{"role": "volunteer", "content": "so I don't, I'm not sure what the misunderstanding or problem is here. Um,", "session_id": 6384, "sequence_id": 446, "annotations": []}
{"role": "volunteer", "content": "just", "session_id": 6384, "sequence_id": 447, "annotations": []}
{"role": "student", "content": "OK", "session_id": 6384, "sequence_id": 448, "annotations": []}
{"role": "volunteer", "content": "hm", "session_id": 6384, "sequence_id": 449, "annotations": []}
{"role": "student", "content": "OK, can you, do we want to move on to the next part, um, next part.", "session_id": 6384, "sequence_id": 450, "annotations": []}
{"role": "volunteer", "content": "OK, we'll try. Yeah, let's, what's going on.", "session_id": 6384, "sequence_id": 451, "annotations": []}
{"role": "student", "content": "It says a bottle 4. I get a Z value of -1.6.", "session_id": 6384, "sequence_id": 452, "annotations": []}
{"role": "volunteer", "content": "It says above 4 now.", "session_id": 6384, "sequence_id": 453, "annotations": []}
{"role": "student", "content": "Yeah.", "session_id": 6384, "sequence_id": 454, "annotations": []}
{"role": "volunteer", "content": "OK, so let me", "session_id": 6384, "sequence_id": 455, "annotations": []}
{"role": "student", "content": "And that is the value of 1.6.", "session_id": 6384, "sequence_id": 456, "annotations": []}
{"role": "volunteer", "content": "OK, so let's", "session_id": 6384, "sequence_id": 457, "annotations": []}
{"role": "volunteer", "content": "so what we're gonna do is we're gonna do a Z value of 4 minus 4.8.", "session_id": 6384, "sequence_id": 458, "annotations": []}
{"role": "volunteer", "content": "divided by 0.5.", "session_id": 6384, "sequence_id": 459, "annotations": []}
{"role": "volunteer", "content": "we would get", "session_id": 6384, "sequence_id": 460, "annotations": []}
{"role": "volunteer", "content": "negative", "session_id": 6384, "sequence_id": 461, "annotations": []}
{"role": "volunteer", "content": "8", "session_id": 6384, "sequence_id": 462, "annotations": []}
{"role": "volunteer", "content": "over 0.5", "session_id": 6384, "sequence_id": 463, "annotations": []}
{"role": "volunteer", "content": "and that would be -1.6", "session_id": 6384, "sequence_id": 464, "annotations": []}
{"role": "volunteer", "content": "Do you agree with the Z value?", "session_id": 6384, "sequence_id": 465, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 6384, "sequence_id": 466, "annotations": []}
{"role": "volunteer", "content": "So we're looking for anything above that, is that what you said?", "session_id": 6384, "sequence_id": 467, "annotations": []}
{"role": "volunteer", "content": "or below neck", "session_id": 6384, "sequence_id": 468, "annotations": []}
{"role": "student", "content": "Yeah, above a 4.", "session_id": 6384, "sequence_id": 469, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 6384, "sequence_id": 470, "annotations": []}
{"role": "volunteer", "content": "So", "session_id": 6384, "sequence_id": 471, "annotations": []}
{"role": "volunteer", "content": "let me um let me go ahead and do the cat.", "session_id": 6384, "sequence_id": 472, "annotations": []}
{"role": "student", "content": "And I got a, I got a value of, um.", "session_id": 6384, "sequence_id": 473, "annotations": []}
{"role": "volunteer", "content": "Don't tell me, don't tell me yet. Let me come up with my own, so I", "session_id": 6384, "sequence_id": 474, "annotations": []}
{"role": "volunteer", "content": "don't get", "session_id": 6384, "sequence_id": 475, "annotations": []}
{"role": "volunteer", "content": "um", "session_id": 6384, "sequence_id": 476, "annotations": []}
{"role": "volunteer", "content": "influenced hearing them", "session_id": 6384, "sequence_id": 477, "annotations": []}
{"role": "volunteer", "content": "So we're gonna go above 4", "session_id": 6384, "sequence_id": 478, "annotations": []}
{"role": "volunteer", "content": "OK, you can tell me what you got now.", "session_id": 6384, "sequence_id": 479, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 6384, "sequence_id": 480, "annotations": []}
{"role": "student", "content": "Um, I don't know value of 44.52, but then I add the other side, so 44.52 plus plus 50, it would equal to 94.52%.", "session_id": 6384, "sequence_id": 481, "annotations": []}
{"role": "volunteer", "content": "That is correct. That's the same answer I'm getting. Yes.", "session_id": 6384, "sequence_id": 482, "annotations": []}
{"role": "volunteer", "content": "So that one, that one works out.", "session_id": 6384, "sequence_id": 483, "annotations": []}
{"role": "student", "content": "So for that particular problem, I wasn't supposed to be looking at the person it tail section, right?", "session_id": 6384, "sequence_id": 484, "annotations": []}
{"role": "volunteer", "content": "Um", "session_id": 6384, "sequence_id": 485, "annotations": []}
{"role": "volunteer", "content": "well, I mean, it's all to the right", "session_id": 6384, "sequence_id": 486, "annotations": []}
{"role": "volunteer", "content": "It, um, so again, using your, I think the problem comes down to how you use that table that you're looking at.", "session_id": 6384, "sequence_id": 487, "annotations": []}
{"role": "volunteer", "content": "Um.", "session_id": 6384, "sequence_id": 488, "annotations": []}
{"role": "student", "content": "Cause for the previous 3, previous um two problems. We looked at the person in tail. That's how I got my 34.46 and my um", "session_id": 6384, "sequence_id": 489, "annotations": []}
{"role": "student", "content": "0.00282.", "session_id": 6384, "sequence_id": 490, "annotations": []}
{"role": "volunteer", "content": "you said that time you said it the way I had it, 0.0082.", "session_id": 6384, "sequence_id": 491, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 6384, "sequence_id": 492, "annotations": []}
{"role": "volunteer", "content": "That's what I, that's what I had. So I agree with that. I thought you were saying 0.8", "session_id": 6384, "sequence_id": 493, "annotations": []}
{"role": "volunteer", "content": "82 but you're saying 0.0082, right?", "session_id": 6384, "sequence_id": 494, "annotations": []}
{"role": "student", "content": "Yeah, my, my answer, my table showed me like 0.82, so that's what I put but I guess I have to agree with you.", "session_id": 6384, "sequence_id": 495, "annotations": []}
{"role": "volunteer", "content": "Yeah, um", "session_id": 6384, "sequence_id": 496, "annotations": []}
{"role": "volunteer", "content": "the problem, I, why I don't like the tables, I mean, they're, they're fine and for the day, but", "session_id": 6384, "sequence_id": 497, "annotations": []}
{"role": "volunteer", "content": "it's much more", "session_id": 6384, "sequence_id": 498, "annotations": []}
{"role": "volunteer", "content": "it's much easier to use a calculator, of course, but you're not you're not allowed to do that, right? And your", "session_id": 6384, "sequence_id": 499, "annotations": []}
{"role": "student", "content": "No, we don't have it on, on our calculator link.", "session_id": 6384, "sequence_id": 500, "annotations": []}
{"role": "volunteer", "content": "I see. OK", "session_id": 6384, "sequence_id": 501, "annotations": []}
{"role": "volunteer", "content": "Yeah, tables are a little bit kind of obsolete nowadays, but that's what you have to deal with in your class. So, um,", "session_id": 6384, "sequence_id": 502, "annotations": []}
{"role": "volunteer", "content": "so it's really making, do they show like a picture of you, uh, you know, a picture of the normal curve above the table, kind of", "session_id": 6384, "sequence_id": 503, "annotations": []}
{"role": "volunteer", "content": "telling you how to", "session_id": 6384, "sequence_id": 504, "annotations": []}
{"role": "volunteer", "content": "how to compute it", "session_id": 6384, "sequence_id": 505, "annotations": []}
{"role": "student", "content": "Yeah, it does say it's, it says um um percent mean hui and percent in 2.", "session_id": 6384, "sequence_id": 506, "annotations": []}
{"role": "volunteer", "content": "present, say the first one again.", "session_id": 6384, "sequence_id": 507, "annotations": []}
{"role": "student", "content": "Percent me, me, and person intel.", "session_id": 6384, "sequence_id": 508, "annotations": []}
{"role": "volunteer", "content": "Percent in mean", "session_id": 6384, "sequence_id": 509, "annotations": []}
{"role": "student", "content": "No person mean to Z.", "session_id": 6384, "sequence_id": 510, "annotations": []}
{"role": "volunteer", "content": "Oh, mean to Z", "session_id": 6384, "sequence_id": 511, "annotations": []}
{"role": "volunteer", "content": "OK. So that's from the center to Z.", "session_id": 6384, "sequence_id": 512, "annotations": []}
{"role": "volunteer", "content": "OK.", "session_id": 6384, "sequence_id": 513, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 6384, "sequence_id": 514, "annotations": []}
{"role": "volunteer", "content": "And then the tail. Well, the two of them", "session_id": 6384, "sequence_id": 515, "annotations": []}
{"role": "volunteer", "content": "um,", "session_id": 6384, "sequence_id": 516, "annotations": []}
{"role": "volunteer", "content": "two of them together, it seems to me would add up to 5%.", "session_id": 6384, "sequence_id": 517, "annotations": []}
{"role": "volunteer", "content": "if I understand what you're saying there. The percent", "session_id": 6384, "sequence_id": 518, "annotations": []}
{"role": "volunteer", "content": "from the mean to Z.", "session_id": 6384, "sequence_id": 519, "annotations": []}
{"role": "volunteer", "content": "is one piece of it and then the tail was the rest of it.", "session_id": 6384, "sequence_id": 520, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 6384, "sequence_id": 521, "annotations": []}
{"role": "volunteer", "content": "So", "session_id": 6384, "sequence_id": 522, "annotations": []}
{"role": "volunteer", "content": "um", "session_id": 6384, "sequence_id": 523, "annotations": []}
{"role": "volunteer", "content": "when you had the negative value", "session_id": 6384, "sequence_id": 524, "annotations": []}
{"role": "volunteer", "content": "we were down, we actually had", "session_id": 6384, "sequence_id": 525, "annotations": []}
{"role": "volunteer", "content": "a whole, we were actually", "session_id": 6384, "sequence_id": 526, "annotations": []}
{"role": "volunteer", "content": "had a a whole half of the curve plus some", "session_id": 6384, "sequence_id": 527, "annotations": []}
{"role": "volunteer", "content": "to the left", "session_id": 6384, "sequence_id": 528, "annotations": []}
{"role": "volunteer", "content": "So yeah, um", "session_id": 6384, "sequence_id": 529, "annotations": []}
{"role": "volunteer", "content": "I think you've got the right answers, right? Each time, do you, do you understand", "session_id": 6384, "sequence_id": 530, "annotations": []}
{"role": "volunteer", "content": "The only one that, the second one seemed like we were, we were having some problems, but you managed to come to the number somehow.", "session_id": 6384, "sequence_id": 531, "annotations": []}
{"role": "student", "content": "OK", "session_id": 6384, "sequence_id": 532, "annotations": []}
{"role": "student", "content": "OK", "session_id": 6384, "sequence_id": 533, "annotations": []}
{"role": "volunteer", "content": "I'm sorry.", "session_id": 6384, "sequence_id": 534, "annotations": []}
{"role": "volunteer", "content": "below.", "session_id": 6384, "sequence_id": 535, "annotations": []}
{"role": "student", "content": "And the last one, it says below 4, and I have a Z value of again 1.6.", "session_id": 6384, "sequence_id": 536, "annotations": []}
{"role": "volunteer", "content": "So, yeah, and then we would, let me, let me go ahead and, and do that and see if I get the same answer that you do.", "session_id": 6384, "sequence_id": 537, "annotations": []}
{"role": "volunteer", "content": "So I got about", "session_id": 6384, "sequence_id": 538, "annotations": []}
{"role": "volunteer", "content": "0.0548.", "session_id": 6384, "sequence_id": 539, "annotations": []}
{"role": "volunteer", "content": "below that was below -1.6, right?", "session_id": 6384, "sequence_id": 540, "annotations": []}
{"role": "student", "content": "Yeah, yeah, yeah. That's what I got. 5.48%.", "session_id": 6384, "sequence_id": 541, "annotations": []}
{"role": "volunteer", "content": "5.48% is right, yes.", "session_id": 6384, "sequence_id": 542, "annotations": []}
{"role": "student", "content": "OK, so that's how I figure out the um the area of, of the once I get my Z scores, right?", "session_id": 6384, "sequence_id": 543, "annotations": []}
{"role": "volunteer", "content": "Right.", "session_id": 6384, "sequence_id": 544, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 6384, "sequence_id": 545, "annotations": []}
{"role": "student", "content": "I have to look that, look at the thing, like person in the till.", "session_id": 6384, "sequence_id": 546, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 6384, "sequence_id": 547, "annotations": []}
{"role": "volunteer", "content": "You, you think, you seem to be", "session_id": 6384, "sequence_id": 548, "annotations": []}
{"role": "student", "content": "OK, because it was confusing for me on the exam.", "session_id": 6384, "sequence_id": 549, "annotations": []}
{"role": "volunteer", "content": "yeah,", "session_id": 6384, "sequence_id": 550, "annotations": []}
{"role": "student", "content": "I didn't know", "session_id": 6384, "sequence_id": 551, "annotations": []}
{"role": "student", "content": "how I got percentages.", "session_id": 6384, "sequence_id": 552, "annotations": []}
{"role": "student", "content": "I felt lost", "session_id": 6384, "sequence_id": 553, "annotations": []}
{"role": "volunteer", "content": "Well, you seem to get all the answers this time. I, I guess they", "session_id": 6384, "sequence_id": 554, "annotations": []}
{"role": "student", "content": "Yeah, yeah, and now I understand.", "session_id": 6384, "sequence_id": 555, "annotations": []}
{"role": "volunteer", "content": "Well, sometimes that's what happens with tests, right? Unfortunately, we, we make a mistake and then it", "session_id": 6384, "sequence_id": 556, "annotations": []}
{"role": "volunteer", "content": "the bell, the bell lights up or the light turns on and we understand", "session_id": 6384, "sequence_id": 557, "annotations": []}
{"role": "volunteer", "content": "So maybe when you were taking it, you were", "session_id": 6384, "sequence_id": 558, "annotations": []}
{"role": "volunteer", "content": "confused by the table or something like that.", "session_id": 6384, "sequence_id": 559, "annotations": []}
{"role": "student", "content": "cause I got this Dails correct, but the areas they were hard to find because the first one was 0.4. So I was actually looking at um", "session_id": 6384, "sequence_id": 560, "annotations": []}
{"role": "student", "content": "the Z score of um", "session_id": 6384, "sequence_id": 561, "annotations": []}
{"role": "student", "content": "0.04.", "session_id": 6384, "sequence_id": 562, "annotations": []}
{"role": "volunteer", "content": "Uh.", "session_id": 6384, "sequence_id": 563, "annotations": []}
{"role": "volunteer", "content": "Yes, that would do it to you, yes.", "session_id": 6384, "sequence_id": 564, "annotations": []}
{"role": "student", "content": "Oh, it was tricky. But I understand now it's 0.4.", "session_id": 6384, "sequence_id": 565, "annotations": []}
{"role": "volunteer", "content": "Mhm", "session_id": 6384, "sequence_id": 566, "annotations": []}
{"role": "student", "content": "0 got.", "session_id": 6384, "sequence_id": 567, "annotations": []}
{"role": "volunteer", "content": "Yeah, I think you, you've, you've got all the answers, so whatever you're doing to read the table now and your Z values are fine.", "session_id": 6384, "sequence_id": 568, "annotations": []}
{"role": "volunteer", "content": "Just keep doing what you just did here tonight and you should be good.", "session_id": 6384, "sequence_id": 569, "annotations": []}
{"role": "student", "content": "Yeah. This was just from another exam. That's it.", "session_id": 6384, "sequence_id": 570, "annotations": []}
{"role": "volunteer", "content": "I get, I get it, yeah", "session_id": 6384, "sequence_id": 571, "annotations": []}
{"role": "volunteer", "content": "Yeah, we all hate to take an exam and then find out.", "session_id": 6384, "sequence_id": 572, "annotations": []}
{"role": "volunteer", "content": "oh, I understand it, but at the time, you know, something happened, which is", "session_id": 6384, "sequence_id": 573, "annotations": []}
{"role": "volunteer", "content": "normal to happen. I mean, it, it's", "session_id": 6384, "sequence_id": 574, "annotations": []}
{"role": "volunteer", "content": "it's", "session_id": 6384, "sequence_id": 575, "annotations": []}
{"role": "volunteer", "content": "that's sometimes how we learn things.", "session_id": 6384, "sequence_id": 576, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 6384, "sequence_id": 577, "annotations": []}
{"role": "student", "content": "Yeah, yeah, yeah", "session_id": 6384, "sequence_id": 578, "annotations": []}
{"role": "student", "content": "I understand", "session_id": 6384, "sequence_id": 579, "annotations": []}
{"role": "volunteer", "content": "This is a, you know, the hypothesis testing, and I've always found, you know, unless I sit down again", "session_id": 6384, "sequence_id": 580, "annotations": []}
{"role": "volunteer", "content": "cause I'm, I'm", "session_id": 6384, "sequence_id": 581, "annotations": []}
{"role": "volunteer", "content": "uh", "session_id": 6384, "sequence_id": 582, "annotations": []}
{"role": "volunteer", "content": "I'graduated for", "session_id": 6384, "sequence_id": 583, "annotations": [{"pii_type": "SCHOOL", "surrogate": "graduated", "start": 2, "end": 11}]}
{"role": "volunteer", "content": "55 years, so it's, it's been a long time. Um,", "session_id": 6384, "sequence_id": 584, "annotations": []}
{"role": "volunteer", "content": "but you", "session_id": 6384, "sequence_id": 585, "annotations": []}
{"role": "student", "content": "No, you were a professor?", "session_id": 6384, "sequence_id": 586, "annotations": []}
{"role": "volunteer", "content": "excuse me", "session_id": 6384, "sequence_id": 587, "annotations": []}
{"role": "student", "content": "University professor?", "session_id": 6384, "sequence_id": 588, "annotations": [{"pii_type": "SCHOOL", "surrogate": "University", "start": 0, "end": 10}]}
{"role": "volunteer", "content": "No, no, no, I'd just say I went to", "session_id": 6384, "sequence_id": 589, "annotations": []}
{"role": "student", "content": "Oh", "session_id": 6384, "sequence_id": 590, "annotations": []}
{"role": "volunteer", "content": "my undergraduate, like 55 years ago, so.", "session_id": 6384, "sequence_id": 591, "annotations": []}
{"role": "volunteer", "content": "it's not, and then this was not one of my favorite things, hypothesis testing, so it never really um", "session_id": 6384, "sequence_id": 592, "annotations": []}
{"role": "volunteer", "content": "you know, it, it doesn't, never sunk in all those years. So every time somebody talks about it, I have to go get out of", "session_id": 6384, "sequence_id": 593, "annotations": []}
{"role": "volunteer", "content": "uh statistics book and look at it again, trying to understand it for the umpteenth time, you know.", "session_id": 6384, "sequence_id": 594, "annotations": []}
{"role": "student", "content": "Yeah, yeah, yeah. I, I get it.", "session_id": 6384, "sequence_id": 595, "annotations": []}
{"role": "volunteer", "content": "The hypothesis that I, you know, the hypothesis testing is kind of mysterious and that, I guess they're, they're making it, they're walking, which is good, they're walking you through it slowly.", "session_id": 6384, "sequence_id": 596, "annotations": []}
{"role": "volunteer", "content": "and surely, so the concentrate on the statements, which is what you're kind of doing right now and the errors that", "session_id": 6384, "sequence_id": 597, "annotations": []}
{"role": "volunteer", "content": "you know, the hypothesis, no hypothesis and the alternative hypothesis and the type one error in the type 2 error.", "session_id": 6384, "sequence_id": 598, "annotations": []}
{"role": "volunteer", "content": "and trying to make sure that you can understand", "session_id": 6384, "sequence_id": 599, "annotations": []}
{"role": "volunteer", "content": "the definitions of all those so that when you actually", "session_id": 6384, "sequence_id": 600, "annotations": []}
{"role": "volunteer", "content": "um compute some statistics and", "session_id": 6384, "sequence_id": 601, "annotations": []}
{"role": "volunteer", "content": "get into the P values.", "session_id": 6384, "sequence_id": 602, "annotations": []}
{"role": "volunteer", "content": "which I assume you haven't done yet. Uh, when you do, it'll all fall right into place.", "session_id": 6384, "sequence_id": 603, "annotations": []}
{"role": "student", "content": "Yeah, we do use the critical values, P-values.", "session_id": 6384, "sequence_id": 604, "annotations": []}
{"role": "volunteer", "content": "Right? You have, we, you, I assume you will be at some point, right?", "session_id": 6384, "sequence_id": 605, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 6384, "sequence_id": 606, "annotations": []}
{"role": "volunteer", "content": "Well, I hope I haven't confused you in any way.", "session_id": 6384, "sequence_id": 607, "annotations": []}
{"role": "student", "content": "No, no, no, I understand all of it.", "session_id": 6384, "sequence_id": 608, "annotations": []}
{"role": "volunteer", "content": "OK, good", "session_id": 6384, "sequence_id": 609, "annotations": []}
{"role": "student", "content": "And um do you understand, um, so do you know, like, are you familiar with what determines a study's power", "session_id": 6384, "sequence_id": 610, "annotations": []}
{"role": "volunteer", "content": "Well, there's a definition, let me get it out here. Um, again, like I said,", "session_id": 6384, "sequence_id": 611, "annotations": []}
{"role": "student", "content": "I have the I have the definition of statistical power, which is the probability that um a study will produce a significant result if the research hypothesis is true, like the alternative hypothesis.", "session_id": 6384, "sequence_id": 612, "annotations": []}
{"role": "volunteer", "content": "the alternative or yeah.", "session_id": 6384, "sequence_id": 613, "annotations": []}
{"role": "volunteer", "content": "Let me, let me just look up what I have here. Hold on, please.", "session_id": 6384, "sequence_id": 614, "annotations": []}
{"role": "volunteer", "content": "Again, that's not something that I", "session_id": 6384, "sequence_id": 615, "annotations": []}
{"role": "volunteer", "content": "remember all that well too", "session_id": 6384, "sequence_id": 616, "annotations": []}
{"role": "volunteer", "content": "266 power or section.", "session_id": 6384, "sequence_id": 617, "annotations": []}
{"role": "volunteer", "content": "So it says this is from my", "session_id": 6384, "sequence_id": 618, "annotations": []}
{"role": "volunteer", "content": "statistics book", "session_id": 6384, "sequence_id": 619, "annotations": []}
{"role": "volunteer", "content": "The Power of the Test", "session_id": 6384, "sequence_id": 620, "annotations": []}
{"role": "volunteer", "content": "is defined to be the probability that the null hypothesis", "session_id": 6384, "sequence_id": 621, "annotations": []}
{"role": "volunteer", "content": "will be rejected", "session_id": 6384, "sequence_id": 622, "annotations": []}
{"role": "volunteer", "content": "when uh", "session_id": 6384, "sequence_id": 623, "annotations": []}
{"role": "volunteer", "content": "mean is are the", "session_id": 6384, "sequence_id": 624, "annotations": []}
{"role": "volunteer", "content": "alternative is true, I guess.", "session_id": 6384, "sequence_id": 625, "annotations": []}
{"role": "student", "content": "Yeah, something like that. I have it as, it's a, it's a probability that the um study will produce a significant result. If the alternative hypothesis is um true.", "session_id": 6384, "sequence_id": 626, "annotations": []}
{"role": "volunteer", "content": "Right, the alternative hypothesis is true", "session_id": 6384, "sequence_id": 627, "annotations": []}
{"role": "volunteer", "content": "um,", "session_id": 6384, "sequence_id": 628, "annotations": []}
{"role": "volunteer", "content": "probability that the no", "session_id": 6384, "sequence_id": 629, "annotations": []}
{"role": "volunteer", "content": "alternative hypothesis is true and you're rejecting", "session_id": 6384, "sequence_id": 630, "annotations": []}
{"role": "volunteer", "content": "80, right", "session_id": 6384, "sequence_id": 631, "annotations": []}
{"role": "student", "content": "I don't know, but I just go.", "session_id": 6384, "sequence_id": 632, "annotations": []}
{"role": "volunteer", "content": "The power, the power of the test is the probability that the null hypothesis", "session_id": 6384, "sequence_id": 633, "annotations": []}
{"role": "volunteer", "content": "will be rejected when", "session_id": 6384, "sequence_id": 634, "annotations": []}
{"role": "volunteer", "content": "um", "session_id": 6384, "sequence_id": 635, "annotations": []}
{"role": "volunteer", "content": "the", "session_id": 6384, "sequence_id": 636, "annotations": []}
{"role": "volunteer", "content": "um boy", "session_id": 6384, "sequence_id": 637, "annotations": []}
{"role": "volunteer", "content": "Anyhow, I don't wanna confuse you anymore.", "session_id": 6384, "sequence_id": 638, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 6384, "sequence_id": 639, "annotations": []}
{"role": "student", "content": "I, I appreciate this children.", "session_id": 6384, "sequence_id": 640, "annotations": []}
{"role": "volunteer", "content": "OK, I'm, I'm sorry that there's nobody who really, I'm, I'm sorry to hear there's nobody that really uh has great understanding", "session_id": 6384, "sequence_id": 641, "annotations": []}
{"role": "volunteer", "content": "Uh, I kind of", "session_id": 6384, "sequence_id": 642, "annotations": []}
{"role": "volunteer", "content": "certain parts of", "session_id": 6384, "sequence_id": 643, "annotations": []}
{"role": "volunteer", "content": "probability, I, I do very well at. The statistics part, when we start getting into this", "session_id": 6384, "sequence_id": 644, "annotations": []}
{"role": "volunteer", "content": "is a bit murky for me, but I, I think we slugged through some stuff. At least you understood um.", "session_id": 6384, "sequence_id": 645, "annotations": []}
{"role": "volunteer", "content": "the um mistake you had on your test. So that, that's one good thing.", "session_id": 6384, "sequence_id": 646, "annotations": []}
{"role": "volunteer", "content": "Um", "session_id": 6384, "sequence_id": 647, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 6384, "sequence_id": 648, "annotations": []}
{"role": "volunteer", "content": "and you're, you sound like you've got these statements down correctly from what I can grasp.", "session_id": 6384, "sequence_id": 649, "annotations": []}
{"role": "student", "content": "Yeah, yeah, yeah, yeah", "session_id": 6384, "sequence_id": 650, "annotations": []}
{"role": "student", "content": "My God", "session_id": 6384, "sequence_id": 651, "annotations": []}
{"role": "student", "content": "OK, thank you.", "session_id": 6384, "sequence_id": 652, "annotations": []}
{"role": "student", "content": "Bye", "session_id": 6384, "sequence_id": 653, "annotations": []}
{"role": "volunteer", "content": "You take, take care and good luck tomorrow.", "session_id": 6384, "sequence_id": 654, "annotations": []}
{"role": "student", "content": "Thank you", "session_id": 6384, "sequence_id": 655, "annotations": []}
{"role": "volunteer", "content": "Bye-bye.", "session_id": 6384, "sequence_id": 656, "annotations": []}
{"role": "volunteer", "content": "Hello", "session_id": 6637, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "hello", "session_id": 6637, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "Are you there?", "session_id": 6637, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 6637, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "What can I do you for?", "session_id": 6637, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "Talk to me", "session_id": 6637, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "ok mb", "session_id": 6637, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "so there's this question i need you to help me with", "session_id": 6637, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "Okay, here to help", "session_id": 6637, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "next round follow the three clues to find a hidden treasure write each answer as a mixed number", "session_id": 6637, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "thats the question", "session_id": 6637, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "This isn't a complete question. Is there a picture or something?", "session_id": 6637, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "wait", "session_id": 6637, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "If there's a picture, upload it here", "session_id": 6637, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "clue 1 start at 3 and add 2/5", "session_id": 6637, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "Come to the board, let me solve there", "session_id": 6637, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "Are you at the board?", "session_id": 6637, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "Done on the board", "session_id": 6637, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "Based on clue 1, answer is 3\u00b2/5", "session_id": 6637, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 6637, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "hello  there", "session_id": 6637, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "\\", "session_id": 6637, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "]\\", "session_id": 6637, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "67", "session_id": 6637, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "What did you type?", "session_id": 6637, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "can you say 67", "session_id": 6637, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "You know, you shouldn't be saying that. Why do you kids keep saying that? You think it's funny?", "session_id": 6637, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "ok i am sorry", "session_id": 6637, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "Hi Chloe!", "session_id": 6857, "sequence_id": 0, "annotations": [{"pii_type": "PERSON", "surrogate": "Chloe", "start": 3, "end": 8}]}
{"role": "volunteer", "content": "How are you?", "session_id": 6857, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "good", "session_id": 6857, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "I need help with my work on Springfield math", "session_id": 6857, "sequence_id": 3, "annotations": [{"pii_type": "LOCATION", "surrogate": "Springfield", "start": 28, "end": 39}]}
{"role": "volunteer", "content": "Okay, are there any specific problems you would like help with?", "session_id": 6857, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "yes", "session_id": 6857, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "this the first question", "session_id": 6857, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "Yeah.", "session_id": 6857, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "It's the first question.", "session_id": 6857, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "Now is the time to check your", "session_id": 6857, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "Okay I see it. So in this case, we have a reflection over the line y = -1. This means that the new figure will be above the line, and you get this by changing the sign of the y-coordinate.", "session_id": 6857, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "Can you do that with the points of the figure?", "session_id": 6857, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "yes", "session_id": 6857, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "is there any way u can talk so u can help me with steps and how to due this", "session_id": 6857, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "Sure!", "session_id": 6857, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "thanks", "session_id": 6857, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "Hello, can you hear me?", "session_id": 6857, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "I can", "session_id": 6857, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 6857, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "Um, so you want me to explain just how to get the points.", "session_id": 6857, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "Yes, and I had to do it like I'm not good at this though.", "session_id": 6857, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "Mm, OK. Um, yeah, basically just change the sign of the white cornet for every point, so like, um, I'll give you like, I'll show you how to do one of them and then hold on, so.", "session_id": 6857, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "for example, we have like 8 and 2, so to get the reflected point, we change 2 to 2, so it would be like", "session_id": 6857, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "right here", "session_id": 6857, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "currently?", "session_id": 6857, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "It would be, do you see that, like that point I plotted?", "session_id": 6857, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "I do.", "session_id": 6857, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "Oh wait, no, no, not right there. It would be, no, wait. It's actually, sorry, I", "session_id": 6857, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "Very good", "session_id": 6857, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "wrong advice. Um, so it's actually not this, it's.", "session_id": 6857, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "OK", "session_id": 6857, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "because that's for the Y axis, not, not, um, going on. For Y equals 1 or -1, it's just basically like um", "session_id": 6857, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "the distance from the point to the the line cause you see it's like one unit, like from 2 to -1.", "session_id": 6857, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 6857, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "It, um, so then you took, so if we go one more unit, we would be at 80, so it'd be", "session_id": 6857, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "here", "session_id": 6857, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "You see that", "session_id": 6857, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "I do", "session_id": 6857, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "Does that make sense? Like the way I explained it.", "session_id": 6857, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "Oh yes", "session_id": 6857, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "OK, do you think you can do that for all the other points?", "session_id": 6857, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "Um, this is my first time doing this, so.", "session_id": 6857, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "So like what I suppose.", "session_id": 6857, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "Uh, like I said, you know, like,", "session_id": 6857, "sequence_id": 43, "annotations": []}
{"role": "student", "content": "to learn", "session_id": 6857, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "Oh, OK, OK.", "session_id": 6857, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "um, so you count like how many units um the pains away, so it's, so it's like 12, for 2 units away, so you just count 3 units again, and then you just, yeah, do you get the gist?", "session_id": 6857, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "I, I see what you're saying. So basically, he said, 123. And so I just go up there on, on the axis.", "session_id": 6857, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "Yeah.", "session_id": 6857, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "uh, 12, so go right here.", "session_id": 6857, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "All close, it's um that's 4 units from the line, not from the axis.", "session_id": 6857, "sequence_id": 50, "annotations": []}
{"role": "student", "content": "Oh", "session_id": 6857, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "So, so it's 4.", "session_id": 6857, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "No, I meant like what you did was for, but that's not what you're supposed to do cause it, it's 3, so like", "session_id": 6857, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "from the line Y equals -1, not from like the white actor from the X-axis.", "session_id": 6857, "sequence_id": 54, "annotations": []}
{"role": "student", "content": "Oh, that's.", "session_id": 6857, "sequence_id": 55, "annotations": []}
{"role": "student", "content": "So you said", "session_id": 6857, "sequence_id": 56, "annotations": []}
{"role": "student", "content": "12, so it's 3, right?", "session_id": 6857, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "Mhm.", "session_id": 6857, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "3 units", "session_id": 6857, "sequence_id": 59, "annotations": []}
{"role": "student", "content": "So 12 race right here.", "session_id": 6857, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "Yeah, right, right here", "session_id": 6857, "sequence_id": 61, "annotations": []}
{"role": "student", "content": "Oh.", "session_id": 6857, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "Oh no, not there, cause it's, yeah, it's from the, yeah.", "session_id": 6857, "sequence_id": 63, "annotations": []}
{"role": "student", "content": "OK", "session_id": 6857, "sequence_id": 64, "annotations": []}
{"role": "student", "content": "So I, so I can feel like the *****'s not right, they go right.", "session_id": 6857, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "Mhm, yeah, just", "session_id": 6857, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "yeah.", "session_id": 6857, "sequence_id": 67, "annotations": []}
{"role": "student", "content": "I got you", "session_id": 6857, "sequence_id": 68, "annotations": []}
{"role": "student", "content": "So 12345.", "session_id": 6857, "sequence_id": 69, "annotations": []}
{"role": "student", "content": "67", "session_id": 6857, "sequence_id": 70, "annotations": []}
{"role": "student", "content": "8", "session_id": 6857, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "Mhm", "session_id": 6857, "sequence_id": 72, "annotations": []}
{"role": "student", "content": "sneak it into me every week.", "session_id": 6857, "sequence_id": 73, "annotations": []}
{"role": "student", "content": "It ain't much good, but it's.", "session_id": 6857, "sequence_id": 74, "annotations": []}
{"role": "volunteer", "content": "Uh close but not quite.", "session_id": 6857, "sequence_id": 75, "annotations": []}
{"role": "student", "content": "It's supposed to be on 2", "session_id": 6857, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "No, I mean, um, like.", "session_id": 6857, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "it's so you, what you're doing is you're like counting um like", "session_id": 6857, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "it, uh, so the 8 units don't start from like right here, they start from right here. So you're going from this 0.8 units upwards, so you're at 7", "session_id": 6857, "sequence_id": 79, "annotations": []}
{"role": "student", "content": "Oh, OK, I got you.", "session_id": 6857, "sequence_id": 80, "annotations": []}
{"role": "volunteer", "content": "Yeah, so let me just like erase these points.", "session_id": 6857, "sequence_id": 81, "annotations": []}
{"role": "student", "content": "the point, and it so I just put it right here.", "session_id": 6857, "sequence_id": 82, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 6857, "sequence_id": 83, "annotations": []}
{"role": "student", "content": "Right", "session_id": 6857, "sequence_id": 84, "annotations": []}
{"role": "student", "content": "Do I do the same way for us all.", "session_id": 6857, "sequence_id": 85, "annotations": []}
{"role": "student", "content": "through.", "session_id": 6857, "sequence_id": 86, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 6857, "sequence_id": 87, "annotations": []}
{"role": "student", "content": "Um,", "session_id": 6857, "sequence_id": 88, "annotations": []}
{"role": "student", "content": "What is wrong on 23, 05, 67.", "session_id": 6857, "sequence_id": 89, "annotations": []}
{"role": "student", "content": "8, so it's 8 for next, right?", "session_id": 6857, "sequence_id": 90, "annotations": []}
{"role": "volunteer", "content": "Oh, for this point, yes.", "session_id": 6857, "sequence_id": 91, "annotations": []}
{"role": "student", "content": "Oh.", "session_id": 6857, "sequence_id": 92, "annotations": []}
{"role": "volunteer", "content": "It's also a", "session_id": 6857, "sequence_id": 93, "annotations": []}
{"role": "student", "content": "You said 8?", "session_id": 6857, "sequence_id": 94, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 6857, "sequence_id": 95, "annotations": []}
{"role": "student", "content": "All right", "session_id": 6857, "sequence_id": 96, "annotations": []}
{"role": "student", "content": "So 12346, sorry.", "session_id": 6857, "sequence_id": 97, "annotations": []}
{"role": "volunteer", "content": "No, not quite. Um, make sure, OK, so when you're like counting um", "session_id": 6857, "sequence_id": 98, "annotations": []}
{"role": "student", "content": "Why", "session_id": 6857, "sequence_id": 99, "annotations": []}
{"role": "volunteer", "content": "like upward, make sure you're on the same, uh, like X value you.", "session_id": 6857, "sequence_id": 100, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 6857, "sequence_id": 101, "annotations": []}
{"role": "volunteer", "content": "cause you tend to like drift a little further away.", "session_id": 6857, "sequence_id": 102, "annotations": []}
{"role": "student", "content": "Oh, got you.1, 2, so it should be right here.", "session_id": 6857, "sequence_id": 103, "annotations": []}
{"role": "volunteer", "content": "Um", "session_id": 6857, "sequence_id": 104, "annotations": []}
{"role": "volunteer", "content": "yeah, like in this area", "session_id": 6857, "sequence_id": 105, "annotations": []}
{"role": "student", "content": "Um.", "session_id": 6857, "sequence_id": 106, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 6857, "sequence_id": 107, "annotations": []}
{"role": "student", "content": "There you go", "session_id": 6857, "sequence_id": 108, "annotations": []}
{"role": "volunteer", "content": "Well, yeah, like", "session_id": 6857, "sequence_id": 109, "annotations": []}
{"role": "volunteer", "content": "yeah.", "session_id": 6857, "sequence_id": 110, "annotations": []}
{"role": "student", "content": "All right.", "session_id": 6857, "sequence_id": 111, "annotations": []}
{"role": "volunteer", "content": "Yeah, OK", "session_id": 6857, "sequence_id": 112, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 6857, "sequence_id": 113, "annotations": []}
{"role": "student", "content": "That's, that's 4 points.", "session_id": 6857, "sequence_id": 114, "annotations": []}
{"role": "student", "content": "All right. I kind of do get more so is that fun?", "session_id": 6857, "sequence_id": 115, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 6857, "sequence_id": 116, "annotations": []}
{"role": "volunteer", "content": "That's OK with me", "session_id": 6857, "sequence_id": 117, "annotations": []}
{"role": "student", "content": "All right", "session_id": 6857, "sequence_id": 118, "annotations": []}
{"role": "student", "content": "But this is only the first question. I got 4 more.", "session_id": 6857, "sequence_id": 119, "annotations": []}
{"role": "volunteer", "content": "OK. Uh, uh, excuse me one second.", "session_id": 6857, "sequence_id": 120, "annotations": []}
{"role": "student", "content": "All right.", "session_id": 6857, "sequence_id": 121, "annotations": []}
{"role": "student", "content": "Uh", "session_id": 6857, "sequence_id": 122, "annotations": []}
{"role": "student", "content": "see", "session_id": 6857, "sequence_id": 123, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 6857, "sequence_id": 124, "annotations": []}
{"role": "student", "content": "And uh she said 37.", "session_id": 6857, "sequence_id": 125, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 6857, "sequence_id": 126, "annotations": []}
{"role": "volunteer", "content": "OK, I'm back", "session_id": 6857, "sequence_id": 127, "annotations": []}
{"role": "student", "content": "All right.", "session_id": 6857, "sequence_id": 128, "annotations": []}
{"role": "volunteer", "content": "So, um", "session_id": 6857, "sequence_id": 129, "annotations": []}
{"role": "volunteer", "content": "we moved on to the next problem.", "session_id": 6857, "sequence_id": 130, "annotations": []}
{"role": "student", "content": "All right, so like how delete the picture?", "session_id": 6857, "sequence_id": 131, "annotations": []}
{"role": "volunteer", "content": "Oh, I can delete it. Um.", "session_id": 6857, "sequence_id": 132, "annotations": []}
{"role": "student", "content": "All right.", "session_id": 6857, "sequence_id": 133, "annotations": []}
{"role": "volunteer", "content": "you know, just", "session_id": 6857, "sequence_id": 134, "annotations": []}
{"role": "student", "content": "This is my first time using this.", "session_id": 6857, "sequence_id": 135, "annotations": []}
{"role": "volunteer", "content": "oh it's cool, yeah.", "session_id": 6857, "sequence_id": 136, "annotations": []}
{"role": "student", "content": "All right, here's the signal.", "session_id": 6857, "sequence_id": 137, "annotations": []}
{"role": "student", "content": "Girl", "session_id": 6857, "sequence_id": 138, "annotations": []}
{"role": "volunteer", "content": "Hm", "session_id": 6857, "sequence_id": 139, "annotations": []}
{"role": "volunteer", "content": "I got the same line. OK. So,", "session_id": 6857, "sequence_id": 140, "annotations": []}
{"role": "volunteer", "content": "yeah, just um", "session_id": 6857, "sequence_id": 141, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 6857, "sequence_id": 142, "annotations": []}
{"role": "volunteer", "content": "same thing", "session_id": 6857, "sequence_id": 143, "annotations": []}
{"role": "student", "content": "All right", "session_id": 6857, "sequence_id": 144, "annotations": []}
{"role": "volunteer", "content": "just with a different shape, so.", "session_id": 6857, "sequence_id": 145, "annotations": []}
{"role": "student", "content": "I got you.", "session_id": 6857, "sequence_id": 146, "annotations": []}
{"role": "volunteer", "content": "Mhm", "session_id": 6857, "sequence_id": 147, "annotations": []}
{"role": "student", "content": "Sorry, so for negative 4. I just go up.", "session_id": 6857, "sequence_id": 148, "annotations": []}
{"role": "volunteer", "content": "Yeah, and then you yeah, you count the units um to negative", "session_id": 6857, "sequence_id": 149, "annotations": []}
{"role": "student", "content": "Alright", "session_id": 6857, "sequence_id": 150, "annotations": []}
{"role": "student", "content": "So", "session_id": 6857, "sequence_id": 151, "annotations": []}
{"role": "student", "content": "to, so it's 3, so it'll be on 2, right?", "session_id": 6857, "sequence_id": 152, "annotations": []}
{"role": "volunteer", "content": "Um, yeah", "session_id": 6857, "sequence_id": 153, "annotations": []}
{"role": "student", "content": "All right. Oh, look.", "session_id": 6857, "sequence_id": 154, "annotations": []}
{"role": "student", "content": "So let's put it right here.", "session_id": 6857, "sequence_id": 155, "annotations": []}
{"role": "volunteer", "content": "Oh, no, I mean, it's on the negative 2 like.", "session_id": 6857, "sequence_id": 156, "annotations": []}
{"role": "student", "content": "Oh God, so it's been on one.", "session_id": 6857, "sequence_id": 157, "annotations": []}
{"role": "volunteer", "content": "for the X axis or from um on the X, but like for why you're still like, you know, going 123 units, um", "session_id": 6857, "sequence_id": 158, "annotations": []}
{"role": "volunteer", "content": "one more, 2.", "session_id": 6857, "sequence_id": 159, "annotations": []}
{"role": "student", "content": "All right, 2 of my favorite", "session_id": 6857, "sequence_id": 160, "annotations": []}
{"role": "volunteer", "content": "Yeah, 123 units and 3 units. So like right.", "session_id": 6857, "sequence_id": 161, "annotations": []}
{"role": "student", "content": "Alright", "session_id": 6857, "sequence_id": 162, "annotations": []}
{"role": "volunteer", "content": "here", "session_id": 6857, "sequence_id": 163, "annotations": []}
{"role": "student", "content": "I got you", "session_id": 6857, "sequence_id": 164, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 6857, "sequence_id": 165, "annotations": []}
{"role": "volunteer", "content": "Mhm", "session_id": 6857, "sequence_id": 166, "annotations": []}
{"role": "student", "content": "No, so I do the same one for the rest of them, right?", "session_id": 6857, "sequence_id": 167, "annotations": []}
{"role": "student", "content": "All right, so 12", "session_id": 6857, "sequence_id": 168, "annotations": []}
{"role": "volunteer", "content": "Mhm.", "session_id": 6857, "sequence_id": 169, "annotations": []}
{"role": "student", "content": "so it'll be 3 right for the same.", "session_id": 6857, "sequence_id": 170, "annotations": []}
{"role": "student", "content": "Uh.", "session_id": 6857, "sequence_id": 171, "annotations": []}
{"role": "student", "content": "so sorry here.", "session_id": 6857, "sequence_id": 172, "annotations": []}
{"role": "volunteer", "content": "Um, little bit lower.", "session_id": 6857, "sequence_id": 173, "annotations": []}
{"role": "student", "content": "Right here.", "session_id": 6857, "sequence_id": 174, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 6857, "sequence_id": 175, "annotations": []}
{"role": "student", "content": "All right", "session_id": 6857, "sequence_id": 176, "annotations": []}
{"role": "student", "content": "I do, oh.", "session_id": 6857, "sequence_id": 177, "annotations": []}
{"role": "student", "content": "OK. So, 1234 saving.", "session_id": 6857, "sequence_id": 178, "annotations": []}
{"role": "student", "content": "So I go 3 and they go up 7.", "session_id": 6857, "sequence_id": 179, "annotations": []}
{"role": "student", "content": "Look", "session_id": 6857, "sequence_id": 180, "annotations": []}
{"role": "volunteer", "content": "Yeah, and you go up 7, but remember to do it from Y equals -1, not from when Y equals 0 on because you, you see the blue line? Like, that's where the reflection is over. So you start from that line when you count.", "session_id": 6857, "sequence_id": 181, "annotations": []}
{"role": "student", "content": "Oh, OK, I appreciate.", "session_id": 6857, "sequence_id": 182, "annotations": []}
{"role": "volunteer", "content": "Mm. Just, yeah, keep that in mind.", "session_id": 6857, "sequence_id": 183, "annotations": []}
{"role": "student", "content": "Why, 2, sorry.", "session_id": 6857, "sequence_id": 184, "annotations": []}
{"role": "volunteer", "content": "Mm", "session_id": 6857, "sequence_id": 185, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 6857, "sequence_id": 186, "annotations": []}
{"role": "student", "content": "I'm a little songs. All righty. Mm.", "session_id": 6857, "sequence_id": 187, "annotations": []}
{"role": "student", "content": "I'm going to one.", "session_id": 6857, "sequence_id": 188, "annotations": []}
{"role": "student", "content": "Uh", "session_id": 6857, "sequence_id": 189, "annotations": []}
{"role": "student", "content": "so it can be 6", "session_id": 6857, "sequence_id": 190, "annotations": []}
{"role": "volunteer", "content": "Yes.", "session_id": 6857, "sequence_id": 191, "annotations": []}
{"role": "student", "content": "Um, so.", "session_id": 6857, "sequence_id": 192, "annotations": []}
{"role": "student", "content": "It's right here", "session_id": 6857, "sequence_id": 193, "annotations": []}
{"role": "volunteer", "content": "Mm", "session_id": 6857, "sequence_id": 194, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 6857, "sequence_id": 195, "annotations": []}
{"role": "student", "content": "Appreciate it. 2345, let's see.", "session_id": 6857, "sequence_id": 196, "annotations": []}
{"role": "student", "content": "So here for this for last night.", "session_id": 6857, "sequence_id": 197, "annotations": []}
{"role": "volunteer", "content": "Wait, hold on, let", "session_id": 6857, "sequence_id": 198, "annotations": []}
{"role": "volunteer", "content": "me verify", "session_id": 6857, "sequence_id": 199, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 6857, "sequence_id": 200, "annotations": []}
{"role": "volunteer", "content": "Wait a minute. Oh, yeah, yeah, that's right.", "session_id": 6857, "sequence_id": 201, "annotations": []}
{"role": "student", "content": "All right, so I do a thing with mouth real quick. But I think I understand it now too.", "session_id": 6857, "sequence_id": 202, "annotations": []}
{"role": "student", "content": "So appreciate it too.", "session_id": 6857, "sequence_id": 203, "annotations": []}
{"role": "volunteer", "content": "Um", "session_id": 6857, "sequence_id": 204, "annotations": []}
{"role": "volunteer", "content": "I'm happy to help", "session_id": 6857, "sequence_id": 205, "annotations": []}
{"role": "volunteer", "content": "Oh, you too. Thank you.", "session_id": 6857, "sequence_id": 206, "annotations": []}
{"role": "volunteer", "content": "Bye.", "session_id": 6857, "sequence_id": 207, "annotations": []}
{"role": "student", "content": "hi", "session_id": 7278, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "hello!", "session_id": 7278, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "What do you need help with today?", "session_id": 7278, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "I need help with this question", "session_id": 7278, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "Okay! Give me a minute to read the question", "session_id": 7278, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "ok", "session_id": 7278, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "I can't see the full question. Could you move the screen a little to the right?", "session_id": 7278, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "thank you!", "session_id": 7278, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "First, do you know the formula for continuous exponential decay?", "session_id": 7278, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 7278, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "In the formula, you will plug a as the initial population which is a", "session_id": 7278, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "and t = time taken which is 12 minutes", "session_id": 7278, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "question a is just asking you to write the formula", "session_id": 7278, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "For question b, you need to find r", "session_id": 7278, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "ok", "session_id": 7278, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "53", "session_id": 7278, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "Did you get 53 for r?", "session_id": 7278, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "yes", "session_id": 7278, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "r is not 53.", "session_id": 7278, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "First you have to plug in your numbers in the formula, a=400, y=140, t=12 minutes in the formula y=ae^rt", "session_id": 7278, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "did you plug in your values?", "session_id": 7278, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "yes", "session_id": 7278, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "can you show me your equation?", "session_id": 7278, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "Do you need help building your equation Maya?", "session_id": 7278, "sequence_id": 23, "annotations": [{"pii_type": "PERSON", "surrogate": "Maya", "start": 40, "end": 44}]}
{"role": "student", "content": "yes", "session_id": 7278, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "Okay. For y, we will substitute the value 140. Can you write y equal 140?", "session_id": 7278, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "We do the same with a =400, and t = 12. Don't focus on question b yet. We are trying to find r", "session_id": 7278, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "Great job Maya! That's the first step", "session_id": 7278, "sequence_id": 27, "annotations": [{"pii_type": "PERSON", "surrogate": "Maya", "start": 10, "end": 14}]}
{"role": "volunteer", "content": "The next step is to divide both sides by 400. Can you do that for me?", "session_id": 7278, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "Great! So what will our equation look like now?", "session_id": 7278, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "Let's write it on the graph", "session_id": 7278, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "So we can have more space!", "session_id": 7278, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "This is what our equation looks like now. Can you see it on your screen Maya?", "session_id": 7278, "sequence_id": 32, "annotations": [{"pii_type": "PERSON", "surrogate": "Maya", "start": 72, "end": 76}]}
{"role": "student", "content": "yes", "session_id": 7278, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "good! You can reqrite 140/400 as 7/20", "session_id": 7278, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "rewrite*", "session_id": 7278, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "Now we take the natural log on both sides.", "session_id": 7278, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "Did you do that Maya?", "session_id": 7278, "sequence_id": 37, "annotations": [{"pii_type": "PERSON", "surrogate": "Maya", "start": 16, "end": 20}]}
{"role": "student", "content": "yes", "session_id": 7278, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "So do you know what the equation will look like now?", "session_id": 7278, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "no", "session_id": 7278, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "That's totally fine!", "session_id": 7278, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "Once we take the natural log on both sides the equation will look like this", "session_id": 7278, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "Did you get that?", "session_id": 7278, "sequence_id": 43, "annotations": []}
{"role": "student", "content": "yes", "session_id": 7278, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "What would you do next?", "session_id": 7278, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "If you are not sure that is fine! Just let me know", "session_id": 7278, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "not sure", "session_id": 7278, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "Thats okay!", "session_id": 7278, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "Since we are finding r, we need r by itself.", "session_id": 7278, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "So we divide both sides by 12 to get r by itself", "session_id": 7278, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "We found r! Great job!", "session_id": 7278, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "So now we have all the values we need for question b", "session_id": 7278, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "we need a=400 and r=(ln(7/20))/12", "session_id": 7278, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "Question be asks us how many bacteria there are 23 minutes after the beginning of the study. So we would substitute t with 23.", "session_id": 7278, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "Do you know how to write the equation?", "session_id": 7278, "sequence_id": 55, "annotations": []}
{"role": "student", "content": "no", "session_id": 7278, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "thats okay.", "session_id": 7278, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "I will write the new equation in pink.", "session_id": 7278, "sequence_id": 58, "annotations": []}
{"role": "student", "content": "ok", "session_id": 7278, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "this is what our new equation will look like", "session_id": 7278, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "then we simplify our esponent", "session_id": 7278, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "exponent*", "session_id": 7278, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "You can rewrite this as", "session_id": 7278, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "and since e^ln(a)= a, we can rewrite that as 7/20", "session_id": 7278, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "Do you know what to do next?", "session_id": 7278, "sequence_id": 65, "annotations": []}
{"role": "student", "content": "plug in 23", "session_id": 7278, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "we've already plugged in 23!", "session_id": 7278, "sequence_id": 67, "annotations": []}
{"role": "student", "content": "oh", "session_id": 7278, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "We now compute!", "session_id": 7278, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "7/20 as a decimal is 0.35", "session_id": 7278, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "so we will write it like this", "session_id": 7278, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "since we rewrote it, we have to compute the exponent.", "session_id": 7278, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "23/12 as a decimal is 1.9167", "session_id": 7278, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "so we will write it like this", "session_id": 7278, "sequence_id": 74, "annotations": []}
{"role": "volunteer", "content": "that will get us this", "session_id": 7278, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "So now we can get our final answer!", "session_id": 7278, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "Do you know what to do next?", "session_id": 7278, "sequence_id": 77, "annotations": []}
{"role": "student", "content": "multiply", "session_id": 7278, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "yes! tell me what you get as the answer", "session_id": 7278, "sequence_id": 79, "annotations": []}
{"role": "student", "content": "53.6", "session_id": 7278, "sequence_id": 80, "annotations": []}
{"role": "volunteer", "content": "Yes, now round your answer to the nearest whole number", "session_id": 7278, "sequence_id": 81, "annotations": []}
{"role": "student", "content": "54", "session_id": 7278, "sequence_id": 82, "annotations": []}
{"role": "volunteer", "content": "Correct! That is your final answe!", "session_id": 7278, "sequence_id": 83, "annotations": []}
{"role": "volunteer", "content": "Is that all Maya?", "session_id": 7278, "sequence_id": 84, "annotations": [{"pii_type": "PERSON", "surrogate": "Maya", "start": 12, "end": 16}]}
{"role": "student", "content": "I have another problem", "session_id": 7278, "sequence_id": 85, "annotations": []}
{"role": "volunteer", "content": "Okay!", "session_id": 7278, "sequence_id": 86, "annotations": []}
{"role": "volunteer", "content": "will you show me your problem?", "session_id": 7278, "sequence_id": 87, "annotations": []}
{"role": "student", "content": "ok", "session_id": 7278, "sequence_id": 88, "annotations": []}
{"role": "volunteer", "content": "Give me a minute to look over the problem", "session_id": 7278, "sequence_id": 89, "annotations": []}
{"role": "volunteer", "content": "So first we write the formula", "session_id": 7278, "sequence_id": 90, "annotations": []}
{"role": "volunteer", "content": "We plug in the numbers. the initial amount 5800 kg. So we plug in a =5800, y =1856, and t=9", "session_id": 7278, "sequence_id": 91, "annotations": []}
{"role": "volunteer", "content": "Can you write the equation for me?", "session_id": 7278, "sequence_id": 92, "annotations": []}
{"role": "volunteer", "content": "Yes! Perfect! Let's write on the graph!", "session_id": 7278, "sequence_id": 93, "annotations": []}
{"role": "volunteer", "content": "What do you do next?", "session_id": 7278, "sequence_id": 94, "annotations": []}
{"role": "volunteer", "content": "Great job! Keep going Maya!", "session_id": 7278, "sequence_id": 95, "annotations": [{"pii_type": "PERSON", "surrogate": "Maya", "start": 22, "end": 26}]}
{"role": "volunteer", "content": "Lets go down to the graph", "session_id": 7278, "sequence_id": 96, "annotations": []}
{"role": "student", "content": "ok", "session_id": 7278, "sequence_id": 97, "annotations": []}
{"role": "volunteer", "content": "after dividing both sides by 5800, we will get an euation that looks like this", "session_id": 7278, "sequence_id": 98, "annotations": []}
{"role": "volunteer", "content": "when simplifying the fraction, you can 464/1460", "session_id": 7278, "sequence_id": 99, "annotations": []}
{"role": "volunteer", "content": "1450*", "session_id": 7278, "sequence_id": 100, "annotations": []}
{"role": "volunteer", "content": "We take the natural log on both sides", "session_id": 7278, "sequence_id": 101, "annotations": []}
{"role": "volunteer", "content": "To find r, we need to get r by itself.", "session_id": 7278, "sequence_id": 102, "annotations": []}
{"role": "volunteer", "content": "So now we plug it back into the model!", "session_id": 7278, "sequence_id": 103, "annotations": []}
{"role": "volunteer", "content": "that is part a in blue!", "session_id": 7278, "sequence_id": 104, "annotations": []}
{"role": "volunteer", "content": "Now shall we move onto part b?", "session_id": 7278, "sequence_id": 105, "annotations": []}
{"role": "student", "content": "yes", "session_id": 7278, "sequence_id": 106, "annotations": []}
{"role": "volunteer", "content": "Okay we will move on to part b", "session_id": 7278, "sequence_id": 107, "annotations": []}
{"role": "volunteer", "content": "Maya, I will end the session at 5:05!", "session_id": 7278, "sequence_id": 108, "annotations": [{"pii_type": "PERSON", "surrogate": "Maya", "start": 0, "end": 4}]}
{"role": "student", "content": "ok", "session_id": 7278, "sequence_id": 109, "annotations": []}
{"role": "volunteer", "content": "We substitute t with 15", "session_id": 7278, "sequence_id": 110, "annotations": []}
{"role": "volunteer", "content": "Part b will be in pink", "session_id": 7278, "sequence_id": 111, "annotations": []}
{"role": "volunteer", "content": "we are simplifying the expoinent", "session_id": 7278, "sequence_id": 112, "annotations": []}
{"role": "volunteer", "content": "Now we will compute", "session_id": 7278, "sequence_id": 113, "annotations": []}
{"role": "volunteer", "content": "you can write 1856/5800 as 0.32", "session_id": 7278, "sequence_id": 114, "annotations": []}
{"role": "volunteer", "content": "15./9 as 1.", "session_id": 7278, "sequence_id": 115, "annotations": []}
{"role": "volunteer", "content": "1.6*", "session_id": 7278, "sequence_id": 116, "annotations": []}
{"role": "volunteer", "content": "15/9=1.6*", "session_id": 7278, "sequence_id": 117, "annotations": []}
{"role": "volunteer", "content": "ln (0.32) = -1.1394", "session_id": 7278, "sequence_id": 118, "annotations": []}
{"role": "volunteer", "content": "And 1.6667 x (-1.1394)=-1.899", "session_id": 7278, "sequence_id": 119, "annotations": []}
{"role": "volunteer", "content": "Multiplying 5800 x 0.150 gives you approximately 870.", "session_id": 7278, "sequence_id": 120, "annotations": []}
{"role": "volunteer", "content": "870 will be the answer!", "session_id": 7278, "sequence_id": 121, "annotations": []}
{"role": "volunteer", "content": "I hope this session helped you Maya!", "session_id": 7278, "sequence_id": 122, "annotations": [{"pii_type": "PERSON", "surrogate": "Maya", "start": 31, "end": 35}]}
{"role": "student", "content": "thank you", "session_id": 7278, "sequence_id": 123, "annotations": []}
{"role": "volunteer", "content": "You're absolutely welcome! Have a great day!", "session_id": 7278, "sequence_id": 124, "annotations": []}
{"role": "student", "content": "Chloe", "session_id": 8276, "sequence_id": 0, "annotations": [{"pii_type": "PERSON", "surrogate": "Chloe", "start": 0, "end": 5}]}
{"role": "volunteer", "content": "oh hi Chloe its you again haha", "session_id": 8276, "sequence_id": 1, "annotations": [{"pii_type": "PERSON", "surrogate": "Chloe", "start": 6, "end": 11}]}
{"role": "student", "content": "hey", "session_id": 8276, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "haha", "session_id": 8276, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "what do you need help withhh?", "session_id": 8276, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "this", "session_id": 8276, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "okay you need to multiply 3/4 with 6/5", "session_id": 8276, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "because when you divide by a fraction, you multiply by its reciprocal.", "session_id": 8276, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "18/20", "session_id": 8276, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "yupppp", "session_id": 8276, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "simplify that", "session_id": 8276, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "2/4", "session_id": 8276, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "nope, not quitee", "session_id": 8276, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "ok", "session_id": 8276, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "try again", "session_id": 8276, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "uhh ok", "session_id": 8276, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "remember to find the GCF first", "session_id": 8276, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "what's the GCF?", "session_id": 8276, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "of what", "session_id": 8276, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "3 and 6", "session_id": 8276, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "of 18 and 20", "session_id": 8276, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "nope its 2", "session_id": 8276, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "so divide 18 and 20 by 2, then you get the simplified form", "session_id": 8276, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "ok", "session_id": 8276, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "what's the simplified form?", "session_id": 8276, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "idk", "session_id": 8276, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "here let me write it down", "session_id": 8276, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "answer that", "session_id": 8276, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "9 and 10", "session_id": 8276, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 8276, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "so the simplified version of 18/20 is 9/10", "session_id": 8276, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "ok", "session_id": 8276, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "yaa", "session_id": 8276, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "do you need anything else?", "session_id": 8276, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "yes", "session_id": 8276, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "okay sure", "session_id": 8276, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "show me", "session_id": 8276, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "ok", "session_id": 8276, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "wait can you show that again", "session_id": 8276, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "I couldn't see properly sorry", "session_id": 8276, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "yea", "session_id": 8276, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "okay so the first step is to make the mixed number an improper fraction", "session_id": 8276, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "do you know how to do that?", "session_id": 8276, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "I'm lagging", "session_id": 8276, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "its okay take your time", "session_id": 8276, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "here", "session_id": 8276, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "okay so the first step is to make the mixed number an improper fraction", "session_id": 8276, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "there", "session_id": 8276, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "do you know how to do that?", "session_id": 8276, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "no", "session_id": 8276, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "do you know what a mixed number is?", "session_id": 8276, "sequence_id": 50, "annotations": []}
{"role": "student", "content": "yea when it's a whole number next to a fraction", "session_id": 8276, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "okay good", "session_id": 8276, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "how about improper?", "session_id": 8276, "sequence_id": 53, "annotations": []}
{"role": "student", "content": "A improper is when the bigger number is on top and the smaller number is on the bottom", "session_id": 8276, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "yes thats right!!", "session_id": 8276, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "so to start with this question", "session_id": 8276, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "we need to make 1 1/2 an improper fraction", "session_id": 8276, "sequence_id": 57, "annotations": []}
{"role": "student", "content": "W", "session_id": 8276, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "ill show you how on the whiteboard", "session_id": 8276, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "soo", "session_id": 8276, "sequence_id": 60, "annotations": []}
{"role": "student", "content": "11/2", "session_id": 8276, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "to get it, we multiply 2 by the whole number, then we add the numerator", "session_id": 8276, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "nope, its not 11/2", "session_id": 8276, "sequence_id": 63, "annotations": []}
{"role": "student", "content": "2", "session_id": 8276, "sequence_id": 64, "annotations": []}
{"role": "student", "content": "L", "session_id": 8276, "sequence_id": 65, "annotations": []}
{"role": "student", "content": "2", "session_id": 8276, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 8276, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "then you add 1", "session_id": 8276, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "what do you get?", "session_id": 8276, "sequence_id": 69, "annotations": []}
{"role": "student", "content": "yaa", "session_id": 8276, "sequence_id": 70, "annotations": []}
{"role": "student", "content": "nope .-.", "session_id": 8276, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "no", "session_id": 8276, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "its not done yet Chloe", "session_id": 8276, "sequence_id": 73, "annotations": [{"pii_type": "PERSON", "surrogate": "Chloe", "start": 17, "end": 22}]}
{"role": "student", "content": "ok", "session_id": 8276, "sequence_id": 74, "annotations": []}
{"role": "volunteer", "content": "there are more steps", "session_id": 8276, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "so what's 2 x 1 + 1?", "session_id": 8276, "sequence_id": 76, "annotations": []}
{"role": "student", "content": ":(", "session_id": 8276, "sequence_id": 77, "annotations": []}
{"role": "student", "content": "3", "session_id": 8276, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "its okay its easy", "session_id": 8276, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "okay so", "session_id": 8276, "sequence_id": 80, "annotations": []}
{"role": "volunteer", "content": "the numerator of the improper fraction will be 3, while the denominator will stay as 2", "session_id": 8276, "sequence_id": 81, "annotations": []}
{"role": "student", "content": ".-.:)", "session_id": 8276, "sequence_id": 82, "annotations": []}
{"role": "student", "content": "ok", "session_id": 8276, "sequence_id": 83, "annotations": []}
{"role": "volunteer", "content": "so the improper fraction is 3/2", "session_id": 8276, "sequence_id": 84, "annotations": []}
{"role": "volunteer", "content": "can you show me the whole problem again?", "session_id": 8276, "sequence_id": 85, "annotations": []}
{"role": "student", "content": "yea", "session_id": 8276, "sequence_id": 86, "annotations": []}
{"role": "volunteer", "content": "okay so now it is 1/4 divided by 3/2", "session_id": 8276, "sequence_id": 87, "annotations": []}
{"role": "volunteer", "content": "the first step is to make it a multiplication expression", "session_id": 8276, "sequence_id": 88, "annotations": []}
{"role": "volunteer", "content": "do you remember how to do that?", "session_id": 8276, "sequence_id": 89, "annotations": []}
{"role": "volunteer", "content": "what does 3/2 become?", "session_id": 8276, "sequence_id": 90, "annotations": []}
{"role": "student", "content": "idk", "session_id": 8276, "sequence_id": 91, "annotations": []}
{"role": "volunteer", "content": "you just flip the numbers", "session_id": 8276, "sequence_id": 92, "annotations": []}
{"role": "volunteer", "content": "what does it become when you flip 3/2?", "session_id": 8276, "sequence_id": 93, "annotations": []}
{"role": "student", "content": "", "session_id": 8276, "sequence_id": 94, "annotations": []}
{"role": "student", "content": "2/3", "session_id": 8276, "sequence_id": 95, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 8276, "sequence_id": 96, "annotations": []}
{"role": "volunteer", "content": "so now u multiply", "session_id": 8276, "sequence_id": 97, "annotations": []}
{"role": "volunteer", "content": "1/4 x 2/3", "session_id": 8276, "sequence_id": 98, "annotations": []}
{"role": "volunteer", "content": "what's the answer?", "session_id": 8276, "sequence_id": 99, "annotations": []}
{"role": "student", "content": "2/12", "session_id": 8276, "sequence_id": 100, "annotations": []}
{"role": "volunteer", "content": "yess that's right!!!", "session_id": 8276, "sequence_id": 101, "annotations": []}
{"role": "volunteer", "content": "now you need to simplify once again", "session_id": 8276, "sequence_id": 102, "annotations": []}
{"role": "volunteer", "content": "what's the GCF of 2 and 12?", "session_id": 8276, "sequence_id": 103, "annotations": []}
{"role": "student", "content": "uhhh", "session_id": 8276, "sequence_id": 104, "annotations": []}
{"role": "student", "content": "1", "session_id": 8276, "sequence_id": 105, "annotations": []}
{"role": "volunteer", "content": "greatest common factor", "session_id": 8276, "sequence_id": 106, "annotations": []}
{"role": "volunteer", "content": "nope", "session_id": 8276, "sequence_id": 107, "annotations": []}
{"role": "student", "content": "2", "session_id": 8276, "sequence_id": 108, "annotations": []}
{"role": "volunteer", "content": "yes!", "session_id": 8276, "sequence_id": 109, "annotations": []}
{"role": "student", "content": "6", "session_id": 8276, "sequence_id": 110, "annotations": []}
{"role": "volunteer", "content": "its", "session_id": 8276, "sequence_id": 111, "annotations": []}
{"role": "volunteer", "content": "2", "session_id": 8276, "sequence_id": 112, "annotations": []}
{"role": "student", "content": "ok", "session_id": 8276, "sequence_id": 113, "annotations": []}
{"role": "volunteer", "content": "so you divide both numbers by 2", "session_id": 8276, "sequence_id": 114, "annotations": []}
{"role": "volunteer", "content": "2 divided by 2 and 12 divided by 2", "session_id": 8276, "sequence_id": 115, "annotations": []}
{"role": "volunteer", "content": "what's the answer for both?", "session_id": 8276, "sequence_id": 116, "annotations": []}
{"role": "student", "content": "Ifg (I forgot)", "session_id": 8276, "sequence_id": 117, "annotations": []}
{"role": "volunteer", "content": "okay", "session_id": 8276, "sequence_id": 118, "annotations": []}
{"role": "volunteer", "content": "what's 2 divided by 2?", "session_id": 8276, "sequence_id": 119, "annotations": []}
{"role": "student", "content": "1", "session_id": 8276, "sequence_id": 120, "annotations": []}
{"role": "volunteer", "content": "okay so that's our numerator", "session_id": 8276, "sequence_id": 121, "annotations": []}
{"role": "volunteer", "content": "what's 12 divided by 2?", "session_id": 8276, "sequence_id": 122, "annotations": []}
{"role": "student", "content": "6", "session_id": 8276, "sequence_id": 123, "annotations": []}
{"role": "volunteer", "content": "okay good, that's our denominator", "session_id": 8276, "sequence_id": 124, "annotations": []}
{"role": "volunteer", "content": "so the final answer is..?", "session_id": 8276, "sequence_id": 125, "annotations": []}
{"role": "student", "content": "2/6", "session_id": 8276, "sequence_id": 126, "annotations": []}
{"role": "volunteer", "content": "nope, what's 2 divided by 2 again?", "session_id": 8276, "sequence_id": 127, "annotations": []}
{"role": "volunteer", "content": "its not 2", "session_id": 8276, "sequence_id": 128, "annotations": []}
{"role": "student", "content": "1/6", "session_id": 8276, "sequence_id": 129, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 8276, "sequence_id": 130, "annotations": []}
{"role": "volunteer", "content": "good job", "session_id": 8276, "sequence_id": 131, "annotations": []}
{"role": "volunteer", "content": "that's the final answer", "session_id": 8276, "sequence_id": 132, "annotations": []}
{"role": "student", "content": "1/6", "session_id": 8276, "sequence_id": 133, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 8276, "sequence_id": 134, "annotations": []}
{"role": "volunteer", "content": "good job Chloe!!", "session_id": 8276, "sequence_id": 135, "annotations": [{"pii_type": "PERSON", "surrogate": "Chloe", "start": 9, "end": 14}]}
{"role": "volunteer", "content": "do you need anything else?", "session_id": 8276, "sequence_id": 136, "annotations": []}
{"role": "student", "content": "idk", "session_id": 8276, "sequence_id": 137, "annotations": []}
{"role": "student", "content": "let me see", "session_id": 8276, "sequence_id": 138, "annotations": []}
{"role": "volunteer", "content": "huh", "session_id": 8276, "sequence_id": 139, "annotations": []}
{"role": "volunteer", "content": "do you have anymore questions?", "session_id": 8276, "sequence_id": 140, "annotations": []}
{"role": "student", "content": "yea", "session_id": 8276, "sequence_id": 141, "annotations": []}
{"role": "student", "content": "this", "session_id": 8276, "sequence_id": 142, "annotations": []}
{"role": "volunteer", "content": "okayyy", "session_id": 8276, "sequence_id": 143, "annotations": []}
{"role": "student", "content": "this", "session_id": 8276, "sequence_id": 144, "annotations": []}
{"role": "volunteer", "content": "2 1/2 divided by 1/5?", "session_id": 8276, "sequence_id": 145, "annotations": []}
{"role": "student", "content": "tea", "session_id": 8276, "sequence_id": 146, "annotations": []}
{"role": "student", "content": "yea", "session_id": 8276, "sequence_id": 147, "annotations": []}
{"role": "volunteer", "content": "okayy", "session_id": 8276, "sequence_id": 148, "annotations": []}
{"role": "volunteer", "content": "so like I taught earlier, how do you convert this into an improper fraction?", "session_id": 8276, "sequence_id": 149, "annotations": []}
{"role": "student", "content": "3", "session_id": 8276, "sequence_id": 150, "annotations": []}
{"role": "student", "content": "5", "session_id": 8276, "sequence_id": 151, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 8276, "sequence_id": 152, "annotations": []}
{"role": "volunteer", "content": "5 over what?", "session_id": 8276, "sequence_id": 153, "annotations": []}
{"role": "volunteer", "content": "5/?", "session_id": 8276, "sequence_id": 154, "annotations": []}
{"role": "student", "content": "because 2x2 is 5 and 1 is 5", "session_id": 8276, "sequence_id": 155, "annotations": []}
{"role": "student", "content": "uhhhh", "session_id": 8276, "sequence_id": 156, "annotations": []}
{"role": "student", "content": "5/1", "session_id": 8276, "sequence_id": 157, "annotations": []}
{"role": "volunteer", "content": "noo", "session_id": 8276, "sequence_id": 158, "annotations": []}
{"role": "student", "content": "I have to go", "session_id": 8276, "sequence_id": 159, "annotations": []}
{"role": "volunteer", "content": "oh okay", "session_id": 8276, "sequence_id": 160, "annotations": []}
{"role": "volunteer", "content": "bye Chloe", "session_id": 8276, "sequence_id": 161, "annotations": [{"pii_type": "PERSON", "surrogate": "Chloe", "start": 4, "end": 9}]}
{"role": "student", "content": "bye you are my faver", "session_id": 8276, "sequence_id": 162, "annotations": []}
{"role": "volunteer", "content": "Hi Alex. Good morning, Alex.", "session_id": 8297, "sequence_id": 0, "annotations": [{"pii_type": "PERSON", "surrogate": "Alex", "start": 3, "end": 7}, {"pii_type": "PERSON", "surrogate": "Alex", "start": 23, "end": 27}]}
{"role": "volunteer", "content": "How are you today", "session_id": 8297, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "Hi.", "session_id": 8297, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 8297, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "Do you have any problem that", "session_id": 8297, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "you need to help you today?", "session_id": 8297, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "I need help with degrees and leading coefficents", "session_id": 8297, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "And you have", "session_id": 8297, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "that you have problem with the degree and leadinguiwe or polynomial. Am I correct?", "session_id": 8297, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 8297, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "OK. So wait a second, OK?", "session_id": 8297, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "I dont have a specifi  problem so.", "session_id": 8297, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "So here is the principle, OK. Uh, so you need to memorize only 4 situations, 1234. So the first one is like this, OK.", "session_id": 8297, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "Um", "session_id": 8297, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "so here", "session_id": 8297, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "so this is the first one. So let's say, Y equal to X^22. Am I correct? Yes.", "session_id": 8297, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "OK. So this one is 22 is actually even am I yes or no?", "session_id": 8297, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "Yes, right. And here, so here, uh, so that's it. I put in 2 you say, but, OK, so this is what they call the leading coefficient, right? And this one is positive, it's not positive.", "session_id": 8297, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "Can you follow me?", "session_id": 8297, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "yes", "session_id": 8297, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "Right? It doesn't make any difference for the timing here, uh, the value of this one here, you can say that well, Y equal to 4 x 2 here, whatever here as long as it is positive.", "session_id": 8297, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "that's good. OK. And then this one here is even, right? So we got even and positive. So whenever you have even and positive here, even the degree is even, positive is the coefficient", "session_id": 8297, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "positive coefficient.", "session_id": 8297, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "OK, and then even power, then the graph is gonna be the graph is gonna look like this.", "session_id": 8297, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "You see", "session_id": 8297, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "Yes. And again here, you can extend further say that well, why here equal to 4 and then X square here plus 2 X and then plus 4, let's say. So this one is the same thing here.", "session_id": 8297, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "All you have to do is just go ahead focusing on this leading term here. So you do not have to worry about the 2nd and the 3rd 1. So all you have to do is just focusing on the leading term. So this is what we call the leading.", "session_id": 8297, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "the leading term", "session_id": 8297, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "Right, so the leading, leading term here has a power of even, right? And then the call is not positive, that it's gonna be, it's gonna be like this.", "session_id": 8297, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "right, so let's say", "session_id": 8297, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "let's say if you have, if you have Y equal to let's say 2 here and let's say act to the 4 songs, songs on here. Then here, then the graphics are more or less look like this.", "session_id": 8297, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "Yes. So this is the first, this is the left, this is the left.", "session_id": 8297, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "pale. This is the left pale.", "session_id": 8297, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "and this one is the right tail.", "session_id": 8297, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "But, so the right and the left tail are all pointing up, pointing up here to the same location pointing up.", "session_id": 8297, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "Sounds good. OK.", "session_id": 8297, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "I mean again here that, uh, so you can expand the example further here. So let's why he equal to let's say, uh, uh, 21, OK, 21 is an act to the 6 here. So so what here is going to be more or less going to be like this.", "session_id": 8297, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "it might be possible there is a different here, but", "session_id": 8297, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "generally the textbook is always, always asking only the left, the left.", "session_id": 8297, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "the left pale and the right pale.", "session_id": 8297, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "The left and right is again pointing up.", "session_id": 8297, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "Yes, but now what happened here, if you have, if you have, let's say, why here equal to let's say 20", "session_id": 8297, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "Well, so this time around here, so let's say, so this one is positive, am I correct? So I said this time around here, I'm going to put the negative, negative X square here. So in this case, so this one is even, but this one here is negative, am I correct? And again, I don't care about what is the number, but I care only if it is positive or negative. In this case, it is negative. Am I correct, Alex?", "session_id": 8297, "sequence_id": 42, "annotations": [{"pii_type": "PERSON", "surrogate": "Alex", "start": 397, "end": 401}]}
{"role": "volunteer", "content": "Can you follow me", "session_id": 8297, "sequence_id": 43, "annotations": []}
{"role": "student", "content": "yes.", "session_id": 8297, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "Am I talking too fast, Alex?", "session_id": 8297, "sequence_id": 45, "annotations": [{"pii_type": "PERSON", "surrogate": "Alex", "start": 23, "end": 27}]}
{"role": "student", "content": "no.", "session_id": 8297, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "But", "session_id": 8297, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "OK, so in this case, remember this is negative, so negative is gonna be is going to be like this year.", "session_id": 8297, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "So this is the left, am I correct? And this is the right. OK.", "session_id": 8297, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "Yes, so if it is negative, then can be down. So it's going to be pointing down, pointing down. Remember here I'm still talking about that the power is even. So likewise, you can say, why here equal to let's say minus 11 here, OK.", "session_id": 8297, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "That's at 11/2. I don't care because I can only if it is negative or positive, and this one is negative. Yes, so we got a here so let's say, let's say the 4 here. So in this case, the graph is gonna be more or less gonna be like this.", "session_id": 8297, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "Right, OK, so that is if this one is even now. So let's talk about the other way around that what happened here if this one is", "session_id": 8297, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "odd, yes. So the good example is that once it's gonna be like, Y here equal to. So let's say 2 here this one is still positive, but here this is, this is like a cube. So cube is on, am I correct? And this one is even. So the graph is gonna look like this.", "session_id": 8297, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "Yes, so instead of pointing up or pointing down together. So this time around here we got a situation in which that they are actually pointing to a different direction. So this one to the top. This is the right hand side, the right", "session_id": 8297, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "the right pa and it's on his left, yes.", "session_id": 8297, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "Yes, and this one is the Y exist and this is the X axis.", "session_id": 8297, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "Yes, and again here, it is also happened this happened like this year. So when I why he equal to let's say, well, so we got 3, OK, that's it A here, that's a cube + 2 X + 1.", "session_id": 8297, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "OK, so I don't care about the second one and the 3rd 1. OK. I can only about this one because this is what they call the leading term, yes, so you need to focus your attention only to the leading term. That's it.", "session_id": 8297, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "That what the graph looks like, the graphs coming, it's gonna be, it's gonna be like this.", "session_id": 8297, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "Right, OK, now, so let's talk about something else. So let's talk about what Taiwani if you have Y equal to let say minus 12 here and then act here so let's say cue? Yes, so this is negative and this one is", "session_id": 8297, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "oh, am I right? And this is what they call the leading term, OK.", "session_id": 8297, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "So in this case, what you're looking at is going to be instead of this is the first quarter, am I correct? And this is the 3rd quarter. Instead of first and quote quote on here, then you will be looking like this.", "session_id": 8297, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "So this is the 2nd codon, and this is the 4th codon.", "session_id": 8297, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "Sounds good, right", "session_id": 8297, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "So", "session_id": 8297, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "so this is the first cordon and this is the", "session_id": 8297, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "3rd quarter, am I right? But here, whenever it is negative and then out here, so you're looking at, well, the, the 2nd quarter, I'm sorry, the 2nd quarter and the 4th quarter.", "session_id": 8297, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "Yes. So in summary here, you can just go ahead, uh, write it down on your", "session_id": 8297, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "note here, class note, something like this. OK.", "session_id": 8297, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "OK. Can you write it down on your class note here because this is very important. This is a very, very good summary of the idea we just talked about.", "session_id": 8297, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "OK, so here, so this one here is", "session_id": 8297, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "so let's say,", "session_id": 8297, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "this one is all about power.", "session_id": 8297, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "I'm talking about leading power, leading power, am I right?", "session_id": 8297, "sequence_id": 74, "annotations": []}
{"role": "volunteer", "content": "Yes. And here across here, I'm talking about the leading coalition.", "session_id": 8297, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "I'm sorry", "session_id": 8297, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "I call Abian. OK, so L thankful leading, leading. This is leading power. This is leading cos yes, and here, so we're talking about even.", "session_id": 8297, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "and here we are talking about on.", "session_id": 8297, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "right", "session_id": 8297, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "Like this and here leading coalition here we are talking about positive and here we are talking about negative. Remember here, I don't care about the value. I care only either positive or negative. Am I right?", "session_id": 8297, "sequence_id": 80, "annotations": []}
{"role": "volunteer", "content": "Yes, so here, for example, even positive, let's say this is the very simple example and in fact in your textbook here that well", "session_id": 8297, "sequence_id": 81, "annotations": []}
{"role": "volunteer", "content": "uh, the textbook asking you to memorize this one because this one here is", "session_id": 8297, "sequence_id": 82, "annotations": []}
{"role": "volunteer", "content": "considered as", "session_id": 8297, "sequence_id": 83, "annotations": []}
{"role": "volunteer", "content": "part of the library of graph that you need to memorize. So the graph is gonna look like this.", "session_id": 8297, "sequence_id": 84, "annotations": []}
{"role": "volunteer", "content": "Right? So this one is Y and this one is. Now, so what happened if you haven't even leading power, but", "session_id": 8297, "sequence_id": 85, "annotations": []}
{"role": "volunteer", "content": "negative", "session_id": 8297, "sequence_id": 86, "annotations": []}
{"role": "volunteer", "content": "leading collab. So we got Y here equal to let's say minus X^2 here. So in this case, OK, so it's gonna be like this.", "session_id": 8297, "sequence_id": 87, "annotations": []}
{"role": "volunteer", "content": "Am I gonna", "session_id": 8297, "sequence_id": 88, "annotations": []}
{"role": "volunteer", "content": "OK, so keep in mind here, do you still remember something about the vertical reflection.", "session_id": 8297, "sequence_id": 89, "annotations": []}
{"role": "volunteer", "content": "band.", "session_id": 8297, "sequence_id": 90, "annotations": []}
{"role": "volunteer", "content": "you still remember", "session_id": 8297, "sequence_id": 91, "annotations": []}
{"role": "volunteer", "content": "like, uh, neck vertical reflection. This is actually from here to here is", "session_id": 8297, "sequence_id": 92, "annotations": []}
{"role": "volunteer", "content": "the case of", "session_id": 8297, "sequence_id": 93, "annotations": []}
{"role": "volunteer", "content": "vertical reflection.", "session_id": 8297, "sequence_id": 94, "annotations": []}
{"role": "volunteer", "content": "OK, now, so here, here we're talking about on here, on the second no so we get why here equal to x here cube. Am I correct?", "session_id": 8297, "sequence_id": 95, "annotations": []}
{"role": "volunteer", "content": "Yes. So this one is odd, am I right?", "session_id": 8297, "sequence_id": 96, "annotations": []}
{"role": "volunteer", "content": "here and then as far as the coy is concerned, is a positive. Yes, so we are looking at the glove that looks like this.", "session_id": 8297, "sequence_id": 97, "annotations": []}
{"role": "volunteer", "content": "Right, so this one is white and this one is ac.", "session_id": 8297, "sequence_id": 98, "annotations": []}
{"role": "volunteer", "content": "right? And here what happened here if you have that", "session_id": 8297, "sequence_id": 99, "annotations": []}
{"role": "volunteer", "content": "the power is on, but the cofi is negative. It's minus X cube here, then the graph is gonna look like this.", "session_id": 8297, "sequence_id": 100, "annotations": []}
{"role": "volunteer", "content": "Sounds good, right, so you have to memorize this one then, because this summarize everything the concept about polynomial with respect to the leading power and leading coop and positive, negative, or even. Sounds good.", "session_id": 8297, "sequence_id": 101, "annotations": []}
{"role": "volunteer", "content": "Do you have anything else, Alex?", "session_id": 8297, "sequence_id": 102, "annotations": [{"pii_type": "PERSON", "surrogate": "Alex", "start": 27, "end": 31}]}
{"role": "student", "content": "nope.", "session_id": 8297, "sequence_id": 103, "annotations": []}
{"role": "volunteer", "content": "OK, so I hope this session is very useful for you.", "session_id": 8297, "sequence_id": 104, "annotations": []}
{"role": "volunteer", "content": "One question, Alex, if you will, I'm just curious here. Are you logging in from your school or from your home?", "session_id": 8297, "sequence_id": 105, "annotations": [{"pii_type": "PERSON", "surrogate": "Alex", "start": 14, "end": 18}]}
{"role": "student", "content": "home", "session_id": 8297, "sequence_id": 106, "annotations": []}
{"role": "volunteer", "content": "OK, so you are not going to school? Are you homeschooling?", "session_id": 8297, "sequence_id": 107, "annotations": []}
{"role": "student", "content": "no", "session_id": 8297, "sequence_id": 108, "annotations": []}
{"role": "volunteer", "content": "OK.", "session_id": 8297, "sequence_id": 109, "annotations": []}
{"role": "volunteer", "content": "OK then. So I assume that you are homeschooling with your parents?", "session_id": 8297, "sequence_id": 110, "annotations": []}
{"role": "student", "content": "No i go to school.", "session_id": 8297, "sequence_id": 111, "annotations": []}
{"role": "volunteer", "content": "OK then. OK then. So if you don't have anything else, then I'm going to close this session again. I hope this session is very useful. And then here, I wish you a good day, a successful day today in your school. Thank you so much and say hello to your parents.", "session_id": 8297, "sequence_id": 112, "annotations": []}
{"role": "student", "content": "Bye", "session_id": 8297, "sequence_id": 113, "annotations": []}
{"role": "volunteer", "content": "Bye-bye", "session_id": 8297, "sequence_id": 114, "annotations": []}
{"role": "volunteer", "content": "Hi.  How are you?", "session_id": 8595, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "I'm fine and you?", "session_id": 8595, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "Good.  How can I help?", "session_id": 8595, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "I want to work on related rates stuff cause i'm having a little trouble with it", "session_id": 8595, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "Ok.  I am going to put my mic and speaker on.  You can if you want to or are able to.", "session_id": 8595, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "All right, I've got my mic and speaker on", "session_id": 8595, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "helps me free up a little bit", "session_id": 8595, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "Do you have a specific example of a problem you would like to work?", "session_id": 8595, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "Yeah, I'll put on the board.", "session_id": 8595, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "OK.", "session_id": 8595, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "Can you see it", "session_id": 8595, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "Yeah, I haven't seen it yet, not yet.", "session_id": 8595, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "It's not showing up", "session_id": 8595, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "Not yet. I'm looking", "session_id": 8595, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "not seeing it anywhere", "session_id": 8595, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "Sometimes it takes a little while to load.", "session_id": 8595, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "Mhm", "session_id": 8595, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "There it is", "session_id": 8595, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "So let me read this", "session_id": 8595, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 8595, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "So I'm getting a picture of a rocket going up.", "session_id": 8595, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "Mhm", "session_id": 8595, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "Camera 5000 ft away.", "session_id": 8595, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "when the rocket 1000 ft above the launch pad, its velocity 600 ft per second. Find the necessary rate of change of the camera's angle.", "session_id": 8595, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "as a function of time.", "session_id": 8595, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "so that it stays focused on the rocket.", "session_id": 8595, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "So", "session_id": 8595, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "do you want to try to draw a little picture of it.", "session_id": 8595, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "or would you like me to take a shot at it?", "session_id": 8595, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "Yeah, I tried to picture part.", "session_id": 8595, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "You said you already did that", "session_id": 8595, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "No, I said no, you can try it.", "session_id": 8595, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "OK. So here I go.", "session_id": 8595, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "All right.", "session_id": 8595, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "I'm having trouble. Hold on, please.", "session_id": 8595, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "Nope.", "session_id": 8595, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "All right. It's very crude.", "session_id": 8595, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "All right, so", "session_id": 8595, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "here's our angle theta.", "session_id": 8595, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "Uh, we'5000 ft away.", "session_id": 8595, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "and", "session_id": 8595, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "at the moment", "session_id": 8595, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "that we're looking at it", "session_id": 8595, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "the rocket 1000 ft above the launch pad.", "session_id": 8595, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "It's up there", "session_id": 8595, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "and it's going up 600 ft per second.", "session_id": 8595, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "So we could say that the tangent of the angle is always", "session_id": 8595, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "the opposite", "session_id": 8595, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "over the adjacent", "session_id": 8595, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "Yeah.", "session_id": 8595, "sequence_id": 49, "annotations": []}
{"role": "student", "content": "All right, can I stop you for a second?", "session_id": 8595, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 8595, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "Yeah, so basically, in the drawing, where is the camera?", "session_id": 8595, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "The cameras", "session_id": 8595, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "right over on the right here", "session_id": 8595, "sequence_id": 54, "annotations": []}
{"role": "student", "content": "OK. And where's the launch pad?", "session_id": 8595, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "Launch pads right over here.", "session_id": 8595, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "on the left", "session_id": 8595, "sequence_id": 57, "annotations": []}
{"role": "student", "content": "OK. So", "session_id": 8595, "sequence_id": 58, "annotations": []}
{"role": "student", "content": "when it says a camera is positioned 5000 ft from the launch pad. That means like from the right side or left side.", "session_id": 8595, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "It doesn't really matter. I drew it, I drew it on the right side, but it could be on the left side.", "session_id": 8595, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "It really wouldn't matter", "session_id": 8595, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "Either way would be kind of a right triangle, right?", "session_id": 8595, "sequence_id": 62, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 8595, "sequence_id": 63, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 8595, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "So you're, your cameras were, we're not gonna, we're gonna assume that the camera is on the ground and it doesn't have any height.", "session_id": 8595, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "right", "session_id": 8595, "sequence_id": 66, "annotations": []}
{"role": "student", "content": "Mm", "session_id": 8595, "sequence_id": 67, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 8595, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "So we've got a little right triangle. I put it", "session_id": 8595, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "on the right, the camera, but it could have been on the left.", "session_id": 8595, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "and", "session_id": 8595, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "at any moment in time,", "session_id": 8595, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "if we think about the tangent of that angle", "session_id": 8595, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "that would be", "session_id": 8595, "sequence_id": 74, "annotations": []}
{"role": "volunteer", "content": "the way to", "session_id": 8595, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "the way to try to track", "session_id": 8595, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "um", "session_id": 8595, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "the, the rate of change in the camera's angle.", "session_id": 8595, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "We would want to come up with something like the theta DT.", "session_id": 8595, "sequence_id": 79, "annotations": []}
{"role": "student", "content": "OK", "session_id": 8595, "sequence_id": 80, "annotations": []}
{"role": "volunteer", "content": "Does that make sense", "session_id": 8595, "sequence_id": 81, "annotations": []}
{"role": "student", "content": "Yeah, and then, um,", "session_id": 8595, "sequence_id": 82, "annotations": []}
{"role": "volunteer", "content": "Well", "session_id": 8595, "sequence_id": 83, "annotations": []}
{"role": "student", "content": "looking at it without the like data stuff, I might just assume that uh the formula for this one could be, uh, the pothagram theorem so a^2 + b^2 + c^2. Like, how did you come up with the whole data thing.", "session_id": 8595, "sequence_id": 84, "annotations": []}
{"role": "volunteer", "content": "so what we're, we're asked for, we are asked for the rate of change of the angle, right?", "session_id": 8595, "sequence_id": 85, "annotations": []}
{"role": "volunteer", "content": "So", "session_id": 8595, "sequence_id": 86, "annotations": []}
{"role": "volunteer", "content": "I'm not really sure that the Pythagoras theorem", "session_id": 8595, "sequence_id": 87, "annotations": []}
{"role": "volunteer", "content": "is, well, we'll have to see, but", "session_id": 8595, "sequence_id": 88, "annotations": []}
{"role": "volunteer", "content": "if we could come up with a, a formula for the tangent of the angle.", "session_id": 8595, "sequence_id": 89, "annotations": []}
{"role": "volunteer", "content": "as a function of time, then we would have it.", "session_id": 8595, "sequence_id": 90, "annotations": []}
{"role": "volunteer", "content": "So, it may be that the Pythagorean theorem comes into play here.", "session_id": 8595, "sequence_id": 91, "annotations": []}
{"role": "volunteer", "content": "but not necessarily.", "session_id": 8595, "sequence_id": 92, "annotations": []}
{"role": "volunteer", "content": "um because we really can't", "session_id": 8595, "sequence_id": 93, "annotations": []}
{"role": "volunteer", "content": "do much with the angle with the Pythagorean theorem. Do you see that?", "session_id": 8595, "sequence_id": 94, "annotations": []}
{"role": "student", "content": "Yeah, I'm just trying to understand like when do I know to use the thagran theory and when do I need to use like tricks.", "session_id": 8595, "sequence_id": 95, "annotations": []}
{"role": "volunteer", "content": "Right. So let's just say the problem was how fast is the distance between the rocket and the camera changing, OK?", "session_id": 8595, "sequence_id": 96, "annotations": []}
{"role": "student", "content": "OK", "session_id": 8595, "sequence_id": 97, "annotations": []}
{"role": "volunteer", "content": "That would be the more typical problem that you would see is, you know, the rockets going up", "session_id": 8595, "sequence_id": 98, "annotations": []}
{"role": "volunteer", "content": "and it", "session_id": 8595, "sequence_id": 99, "annotations": []}
{"role": "volunteer", "content": "and 5000 ft away and the rocket's traveling 600 ft per second and it's going up and up and up.", "session_id": 8595, "sequence_id": 100, "annotations": []}
{"role": "student", "content": "Mhm", "session_id": 8595, "sequence_id": 101, "annotations": []}
{"role": "volunteer", "content": "then definite, so if we were asked how fast is the rocket's distance changing from the camera, then we would definitely use the Pythagorean theorem.", "session_id": 8595, "sequence_id": 102, "annotations": []}
{"role": "volunteer", "content": "to come up with that, that distance.", "session_id": 8595, "sequence_id": 103, "annotations": []}
{"role": "student", "content": "OK", "session_id": 8595, "sequence_id": 104, "annotations": []}
{"role": "volunteer", "content": "as a function of time. But in this case", "session_id": 8595, "sequence_id": 105, "annotations": []}
{"role": "volunteer", "content": "they're actually focusing in on the angle, and I'm not so sure that the Pythagorean theorem is really gonna help us.", "session_id": 8595, "sequence_id": 106, "annotations": []}
{"role": "volunteer", "content": "Uh, we may need it, but", "session_id": 8595, "sequence_id": 107, "annotations": []}
{"role": "volunteer", "content": "if we really wanna solve the problem. I think we have to focus on the angle this time, and it may not be", "session_id": 8595, "sequence_id": 108, "annotations": []}
{"role": "volunteer", "content": "um,", "session_id": 8595, "sequence_id": 109, "annotations": []}
{"role": "volunteer", "content": "able to be expressed", "session_id": 8595, "sequence_id": 110, "annotations": []}
{"role": "volunteer", "content": "with the Pythagorean theorem because that really just relates the sides of a right triangle to the hypotenuse.", "session_id": 8595, "sequence_id": 111, "annotations": []}
{"role": "student", "content": "Oh, so like by camera angle, they mean like right here.", "session_id": 8595, "sequence_id": 112, "annotations": []}
{"role": "volunteer", "content": "I'll mark it", "session_id": 8595, "sequence_id": 113, "annotations": []}
{"role": "student", "content": "Wait, let me show you, like right here, right.", "session_id": 8595, "sequence_id": 114, "annotations": []}
{"role": "volunteer", "content": "Yes, that's it, Theta. Yeah, I should, you're right, exactly.", "session_id": 8595, "sequence_id": 115, "annotations": []}
{"role": "volunteer", "content": "So", "session_id": 8595, "sequence_id": 116, "annotations": []}
{"role": "volunteer", "content": "yeah, because", "session_id": 8595, "sequence_id": 117, "annotations": []}
{"role": "student", "content": "OK, now it makes sense. Since they're like showing you that small part, that's why if they're talking about this like whole line right here, then it would have been like the pathography.", "session_id": 8595, "sequence_id": 118, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 8595, "sequence_id": 119, "annotations": []}
{"role": "volunteer", "content": "yes, if they were saying how fast does the distance between the camera and the rocket changing, you would definitely, and that's the more typical problem that you would see.", "session_id": 8595, "sequence_id": 120, "annotations": []}
{"role": "volunteer", "content": "Um,", "session_id": 8595, "sequence_id": 121, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 8595, "sequence_id": 122, "annotations": []}
{"role": "volunteer", "content": "you nor more typical problem would be something like that.", "session_id": 8595, "sequence_id": 123, "annotations": []}
{"role": "volunteer", "content": "So,", "session_id": 8595, "sequence_id": 124, "annotations": []}
{"role": "volunteer", "content": "but it, but unfortunately or unfort unfortunately, it's not that simple when you talk about the angle, but you'll notice that", "session_id": 8595, "sequence_id": 125, "annotations": []}
{"role": "volunteer", "content": "um with these problems, when they talk about angles, usually trying to use the tangent is pretty helpful.", "session_id": 8595, "sequence_id": 126, "annotations": []}
{"role": "volunteer", "content": "because", "session_id": 8595, "sequence_id": 127, "annotations": []}
{"role": "volunteer", "content": "um if we can express the tangent of that angle.", "session_id": 8595, "sequence_id": 128, "annotations": []}
{"role": "volunteer", "content": "as a function of time that we pretty much have it", "session_id": 8595, "sequence_id": 129, "annotations": []}
{"role": "student", "content": "Mhm.", "session_id": 8595, "sequence_id": 130, "annotations": []}
{"role": "volunteer", "content": "So, I'm gonna think about this for a minute, but the tangent of the angle is always the opposite.", "session_id": 8595, "sequence_id": 131, "annotations": []}
{"role": "volunteer", "content": "is always the opposite over the adjacent side, right?", "session_id": 8595, "sequence_id": 132, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 8595, "sequence_id": 133, "annotations": []}
{"role": "volunteer", "content": "And we know the adjacent side is always going to 5000.", "session_id": 8595, "sequence_id": 134, "annotations": []}
{"role": "student", "content": "OK", "session_id": 8595, "sequence_id": 135, "annotations": []}
{"role": "volunteer", "content": "feet because that's not gonna change.", "session_id": 8595, "sequence_id": 136, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 8595, "sequence_id": 137, "annotations": []}
{"role": "volunteer", "content": "So now the question is, can we come up with an expression for the numerator or the opposite side.", "session_id": 8595, "sequence_id": 138, "annotations": []}
{"role": "volunteer", "content": "And we know that it started out 1000 ft.", "session_id": 8595, "sequence_id": 139, "annotations": []}
{"role": "volunteer", "content": "So I'm thinking 1000", "session_id": 8595, "sequence_id": 140, "annotations": []}
{"role": "volunteer", "content": "+", "session_id": 8595, "sequence_id": 141, "annotations": []}
{"role": "volunteer", "content": "um", "session_id": 8595, "sequence_id": 142, "annotations": []}
{"role": "volunteer", "content": "600", "session_id": 8595, "sequence_id": 143, "annotations": []}
{"role": "volunteer", "content": "right", "session_id": 8595, "sequence_id": 144, "annotations": []}
{"role": "volunteer", "content": "We", "session_id": 8595, "sequence_id": 145, "annotations": []}
{"role": "volunteer", "content": "to kind of", "session_id": 8595, "sequence_id": 146, "annotations": []}
{"role": "student", "content": "Are you writing down the board?", "session_id": 8595, "sequence_id": 147, "annotations": []}
{"role": "student", "content": "OK", "session_id": 8595, "sequence_id": 148, "annotations": []}
{"role": "volunteer", "content": "I will in a minute. I'm just kind of talking, talking through it right now. So I'm gonna write it on the board in a minute.", "session_id": 8595, "sequence_id": 149, "annotations": []}
{"role": "student", "content": "OK", "session_id": 8595, "sequence_id": 150, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 8595, "sequence_id": 151, "annotations": []}
{"role": "volunteer", "content": "Um, so let me go ahead and do that and we'll see what we think this is right. So I'm gonna go down a little further now.", "session_id": 8595, "sequence_id": 152, "annotations": []}
{"role": "volunteer", "content": "and please stop me because, you know, there's always", "session_id": 8595, "sequence_id": 153, "annotations": []}
{"role": "volunteer", "content": "many chances for error.", "session_id": 8595, "sequence_id": 154, "annotations": []}
{"role": "student", "content": "OK", "session_id": 8595, "sequence_id": 155, "annotations": []}
{"role": "volunteer", "content": "But let's go ahead here", "session_id": 8595, "sequence_id": 156, "annotations": []}
{"role": "student", "content": "Mhm", "session_id": 8595, "sequence_id": 157, "annotations": []}
{"role": "volunteer", "content": "tangent offain, I apologize for my handwriting. I've got a", "session_id": 8595, "sequence_id": 158, "annotations": []}
{"role": "student", "content": "OK", "session_id": 8595, "sequence_id": 159, "annotations": []}
{"role": "volunteer", "content": "kind of a tremor thing going on. So that's always the opposite.", "session_id": 8595, "sequence_id": 160, "annotations": []}
{"role": "volunteer", "content": "over the adjacent", "session_id": 8595, "sequence_id": 161, "annotations": []}
{"role": "student", "content": "Mhm", "session_id": 8595, "sequence_id": 162, "annotations": []}
{"role": "volunteer", "content": "and the adjacent is gonna 5000. We'll keep it in feet.", "session_id": 8595, "sequence_id": 163, "annotations": []}
{"role": "volunteer", "content": "And the opposite is always gonna 1000 + 600T.", "session_id": 8595, "sequence_id": 164, "annotations": []}
{"role": "volunteer", "content": "Oops, no, I have to reset.", "session_id": 8595, "sequence_id": 165, "annotations": []}
{"role": "volunteer", "content": "Excuse me here, let me see if I can do it again.", "session_id": 8595, "sequence_id": 166, "annotations": []}
{"role": "volunteer", "content": "No", "session_id": 8595, "sequence_id": 167, "annotations": []}
{"role": "volunteer", "content": "I'm sorry", "session_id": 8595, "sequence_id": 168, "annotations": []}
{"role": "volunteer", "content": "One more time with feeling", "session_id": 8595, "sequence_id": 169, "annotations": []}
{"role": "student", "content": "So", "session_id": 8595, "sequence_id": 170, "annotations": []}
{"role": "volunteer", "content": "Let me lengthen this", "session_id": 8595, "sequence_id": 171, "annotations": []}
{"role": "volunteer", "content": "1000", "session_id": 8595, "sequence_id": 172, "annotations": []}
{"role": "volunteer", "content": "I can't write very well, 5000.", "session_id": 8595, "sequence_id": 173, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 8595, "sequence_id": 174, "annotations": []}
{"role": "student", "content": "OK", "session_id": 8595, "sequence_id": 175, "annotations": []}
{"role": "volunteer", "content": "So if we think about it", "session_id": 8595, "sequence_id": 176, "annotations": []}
{"role": "volunteer", "content": "iste as the number of seconds that go by. We started at 0.", "session_id": 8595, "sequence_id": 177, "annotations": []}
{"role": "volunteer", "content": "then the tangent of the angle is going to be 15%, right?", "session_id": 8595, "sequence_id": 178, "annotations": []}
{"role": "volunteer", "content": "1000 /.", "session_id": 8595, "sequence_id": 179, "annotations": []}
{"role": "volunteer", "content": "5000", "session_id": 8595, "sequence_id": 180, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 8595, "sequence_id": 181, "annotations": []}
{"role": "volunteer", "content": "As, as each second picks by.", "session_id": 8595, "sequence_id": 182, "annotations": []}
{"role": "volunteer", "content": "the the tangent of the angle is gonna get bigger and bigger.", "session_id": 8595, "sequence_id": 183, "annotations": []}
{"role": "student", "content": "Mm", "session_id": 8595, "sequence_id": 184, "annotations": []}
{"role": "volunteer", "content": "um after 1 2nd, it'll be 1600 over", "session_id": 8595, "sequence_id": 185, "annotations": []}
{"role": "volunteer", "content": "5000. 2 seconds, it'll be", "session_id": 8595, "sequence_id": 186, "annotations": []}
{"role": "volunteer", "content": "2200", "session_id": 8595, "sequence_id": 187, "annotations": []}
{"role": "volunteer", "content": "/5000 and on up, right?", "session_id": 8595, "sequence_id": 188, "annotations": []}
{"role": "student", "content": "Mm", "session_id": 8595, "sequence_id": 189, "annotations": []}
{"role": "volunteer", "content": "Does that make sense to you", "session_id": 8595, "sequence_id": 190, "annotations": []}
{"role": "student", "content": "You mean?", "session_id": 8595, "sequence_id": 191, "annotations": []}
{"role": "volunteer", "content": "I'm sorry", "session_id": 8595, "sequence_id": 192, "annotations": []}
{"role": "student", "content": "You mean? What, what did you mean?", "session_id": 8595, "sequence_id": 193, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 8595, "sequence_id": 194, "annotations": []}
{"role": "volunteer", "content": "So let's, let's just look at this expression.", "session_id": 8595, "sequence_id": 195, "annotations": []}
{"role": "volunteer", "content": "tangent of the angle  = . I, I'm sorry about my writing. It's 1000 + 600T / 5000.", "session_id": 8595, "sequence_id": 196, "annotations": []}
{"role": "volunteer", "content": "So at time equals 0", "session_id": 8595, "sequence_id": 197, "annotations": []}
{"role": "student", "content": "Mm.", "session_id": 8595, "sequence_id": 198, "annotations": []}
{"role": "volunteer", "content": "if T is equal to 0, 600 times 0 is 0, and we would end up 1000 /, 5000, excuse me.", "session_id": 8595, "sequence_id": 199, "annotations": []}
{"role": "student", "content": "Mhm", "session_id": 8595, "sequence_id": 200, "annotations": []}
{"role": "volunteer", "content": "If it at time T equals 1 2nd, we would be 1600 /", "session_id": 8595, "sequence_id": 201, "annotations": []}
{"role": "volunteer", "content": "5000, right?", "session_id": 8595, "sequence_id": 202, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 8595, "sequence_id": 203, "annotations": []}
{"role": "volunteer", "content": "At time T equals 2 seconds, we would be at", "session_id": 8595, "sequence_id": 204, "annotations": []}
{"role": "volunteer", "content": "2200 / 5000, and so forth.", "session_id": 8595, "sequence_id": 205, "annotations": []}
{"role": "student", "content": "Yup", "session_id": 8595, "sequence_id": 206, "annotations": []}
{"role": "volunteer", "content": "So we have a, we now have an expression, if we've done this correctly", "session_id": 8595, "sequence_id": 207, "annotations": []}
{"role": "volunteer", "content": "of the tangent of the angle", "session_id": 8595, "sequence_id": 208, "annotations": []}
{"role": "volunteer", "content": "in terms of tea", "session_id": 8595, "sequence_id": 209, "annotations": []}
{"role": "volunteer", "content": "And that's pretty good because now we can use our", "session_id": 8595, "sequence_id": 210, "annotations": []}
{"role": "volunteer", "content": "knowledge of derivatives", "session_id": 8595, "sequence_id": 211, "annotations": []}
{"role": "volunteer", "content": "to find the theta DT.", "session_id": 8595, "sequence_id": 212, "annotations": []}
{"role": "student", "content": "All right, real quick, can we, can I ask, wait, why, why is it plus and not like times?", "session_id": 8595, "sequence_id": 213, "annotations": []}
{"role": "volunteer", "content": "It is time", "session_id": 8595, "sequence_id": 214, "annotations": []}
{"role": "volunteer", "content": "but we're starting out in", "session_id": 8595, "sequence_id": 215, "annotations": []}
{"role": "student", "content": "Don't 1000 + 600.", "session_id": 8595, "sequence_id": 216, "annotations": []}
{"role": "volunteer", "content": "Yeah, I'm sorry about my writing. I really apologize.", "session_id": 8595, "sequence_id": 217, "annotations": []}
{"role": "volunteer", "content": "It's a 1000 + 600T.", "session_id": 8595, "sequence_id": 218, "annotations": []}
{"role": "volunteer", "content": "Can you see that or", "session_id": 8595, "sequence_id": 219, "annotations": []}
{"role": "student", "content": "No, I can see that I'm just saying like why is it that way?", "session_id": 8595, "sequence_id": 220, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 8595, "sequence_id": 221, "annotations": []}
{"role": "volunteer", "content": "So think about that angle", "session_id": 8595, "sequence_id": 222, "annotations": []}
{"role": "student", "content": "Mhm.", "session_id": 8595, "sequence_id": 223, "annotations": []}
{"role": "volunteer", "content": "If we're just starting out", "session_id": 8595, "sequence_id": 224, "annotations": []}
{"role": "volunteer", "content": "do you agree that the angle, the tangent of the angle is 1000 / 5000.", "session_id": 8595, "sequence_id": 225, "annotations": []}
{"role": "student", "content": "Yes, I agree", "session_id": 8595, "sequence_id": 226, "annotations": []}
{"role": "volunteer", "content": "OK.", "session_id": 8595, "sequence_id": 227, "annotations": []}
{"role": "volunteer", "content": "If you, if you plug in T equals 0 into the formula, we would get 600 times 0, right?", "session_id": 8595, "sequence_id": 228, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 8595, "sequence_id": 229, "annotations": []}
{"role": "volunteer", "content": "And we would end up 1000 / 5000 when we're starting.", "session_id": 8595, "sequence_id": 230, "annotations": []}
{"role": "volunteer", "content": "After 1 2nd", "session_id": 8595, "sequence_id": 231, "annotations": []}
{"role": "volunteer", "content": "if we just choose an arbitrary value 1 2nd.", "session_id": 8595, "sequence_id": 232, "annotations": []}
{"role": "volunteer", "content": "what would the numerator be?", "session_id": 8595, "sequence_id": 233, "annotations": []}
{"role": "volunteer", "content": "if I plug in 1 2nd", "session_id": 8595, "sequence_id": 234, "annotations": []}
{"role": "student", "content": "led to 1600", "session_id": 8595, "sequence_id": 235, "annotations": []}
{"role": "volunteer", "content": "adding to 1000, yes, 1000 + 600 times 1 2nd, right?", "session_id": 8595, "sequence_id": 236, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 8595, "sequence_id": 237, "annotations": []}
{"role": "volunteer", "content": "So we would end up 1600, correct?", "session_id": 8595, "sequence_id": 238, "annotations": []}
{"role": "student", "content": "Yeah, I'll get that part. I'm just saying like the 1000 + 600. Like why is 1000 + 600 and now 1000 times 600.", "session_id": 8595, "sequence_id": 239, "annotations": []}
{"role": "volunteer", "content": "OK.", "session_id": 8595, "sequence_id": 240, "annotations": []}
{"role": "volunteer", "content": "So that", "session_id": 8595, "sequence_id": 241, "annotations": []}
{"role": "volunteer", "content": "we're, we're gonna", "session_id": 8595, "sequence_id": 242, "annotations": []}
{"role": "student", "content": "or minus 600", "session_id": 8595, "sequence_id": 243, "annotations": []}
{"role": "volunteer", "content": "we're, we're, the rocket is going up.", "session_id": 8595, "sequence_id": 244, "annotations": []}
{"role": "student", "content": "Mhm", "session_id": 8595, "sequence_id": 245, "annotations": []}
{"role": "volunteer", "content": "We have to multiply by the 6 6001 times the tea, if that helps clear that up. So,", "session_id": 8595, "sequence_id": 246, "annotations": []}
{"role": "student", "content": "Yeah, that part is clear", "session_id": 8595, "sequence_id": 247, "annotations": []}
{"role": "volunteer", "content": "OK.", "session_id": 8595, "sequence_id": 248, "annotations": []}
{"role": "volunteer", "content": "So", "session_id": 8595, "sequence_id": 249, "annotations": []}
{"role": "volunteer", "content": "if you think about where the rocket is vertically.", "session_id": 8595, "sequence_id": 250, "annotations": []}
{"role": "volunteer", "content": "We can't multiply 600T. It's starting out 1000 ft.", "session_id": 8595, "sequence_id": 251, "annotations": []}
{"role": "student", "content": "Mm", "session_id": 8595, "sequence_id": 252, "annotations": []}
{"role": "volunteer", "content": "So we always just start out 1000 ft.", "session_id": 8595, "sequence_id": 253, "annotations": []}
{"role": "student", "content": "Mhm", "session_id": 8595, "sequence_id": 254, "annotations": []}
{"role": "volunteer", "content": "and after what, after 1 2nd for for example, we will be 1600 ft. Do you agree with that?", "session_id": 8595, "sequence_id": 255, "annotations": []}
{"role": "student", "content": "Right", "session_id": 8595, "sequence_id": 256, "annotations": []}
{"role": "volunteer", "content": "and the way I got that was after 1 2nd", "session_id": 8595, "sequence_id": 257, "annotations": []}
{"role": "volunteer", "content": "the velocity 600 ft per second.", "session_id": 8595, "sequence_id": 258, "annotations": []}
{"role": "volunteer", "content": "times the time", "session_id": 8595, "sequence_id": 259, "annotations": []}
{"role": "volunteer", "content": "is 1 2nd", "session_id": 8595, "sequence_id": 260, "annotations": []}
{"role": "volunteer", "content": "So that's 600 ft that we would have after it would have climbed 600 ft", "session_id": 8595, "sequence_id": 261, "annotations": []}
{"role": "volunteer", "content": "after 1 2nd", "session_id": 8595, "sequence_id": 262, "annotations": []}
{"role": "student", "content": "Mhm.", "session_id": 8595, "sequence_id": 263, "annotations": []}
{"role": "student", "content": "Yeah, I see.", "session_id": 8595, "sequence_id": 264, "annotations": []}
{"role": "volunteer", "content": "climbed 600 ft above 1000.", "session_id": 8595, "sequence_id": 265, "annotations": []}
{"role": "volunteer", "content": "OK.", "session_id": 8595, "sequence_id": 266, "annotations": []}
{"role": "student", "content": "Yeah, perfect.", "session_id": 8595, "sequence_id": 267, "annotations": []}
{"role": "volunteer", "content": "So as we can, we can see that the expression works.", "session_id": 8595, "sequence_id": 268, "annotations": []}
{"role": "volunteer", "content": "for any time T after t equals 0.", "session_id": 8595, "sequence_id": 269, "annotations": []}
{"role": "volunteer", "content": "if we had at 2 seconds", "session_id": 8595, "sequence_id": 270, "annotations": []}
{"role": "student", "content": "Mhm.", "session_id": 8595, "sequence_id": 271, "annotations": []}
{"role": "volunteer", "content": "the rocket should be 1000 +", "session_id": 8595, "sequence_id": 272, "annotations": []}
{"role": "volunteer", "content": "600 times 2 seconds.", "session_id": 8595, "sequence_id": 273, "annotations": []}
{"role": "volunteer", "content": "which would 2200 ft.", "session_id": 8595, "sequence_id": 274, "annotations": []}
{"role": "volunteer", "content": "so we would 2200 ft where the rocket is at 2 seconds.", "session_id": 8595, "sequence_id": 275, "annotations": []}
{"role": "volunteer", "content": "over.", "session_id": 8595, "sequence_id": 276, "annotations": []}
{"role": "volunteer", "content": "502,200 divided by would be the tangent of the angle.", "session_id": 8595, "sequence_id": 277, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 8595, "sequence_id": 278, "annotations": []}
{"role": "volunteer", "content": "So I, I detected", "session_id": 8595, "sequence_id": 279, "annotations": []}
{"role": "volunteer", "content": "I", "session_id": 8595, "sequence_id": 280, "annotations": []}
{"role": "volunteer", "content": "please ask again if I'm, if it's not clear, um,", "session_id": 8595, "sequence_id": 281, "annotations": []}
{"role": "student", "content": "No, it's really clear", "session_id": 8595, "sequence_id": 282, "annotations": []}
{"role": "volunteer", "content": "so I think we've got the hardest part done here because", "session_id": 8595, "sequence_id": 283, "annotations": []}
{"role": "volunteer", "content": "now", "session_id": 8595, "sequence_id": 284, "annotations": []}
{"role": "volunteer", "content": "we have an expression for the tangent of the angle, and it's in terms of time", "session_id": 8595, "sequence_id": 285, "annotations": []}
{"role": "volunteer", "content": "So what we can do is we can", "session_id": 8595, "sequence_id": 286, "annotations": []}
{"role": "volunteer", "content": "use", "session_id": 8595, "sequence_id": 287, "annotations": []}
{"role": "volunteer", "content": "to differentiate both sides of this equation by", "session_id": 8595, "sequence_id": 288, "annotations": []}
{"role": "volunteer", "content": "time.", "session_id": 8595, "sequence_id": 289, "annotations": []}
{"role": "volunteer", "content": "and we should be able to get how that angle", "session_id": 8595, "sequence_id": 290, "annotations": []}
{"role": "volunteer", "content": "changes with respect to time.", "session_id": 8595, "sequence_id": 291, "annotations": []}
{"role": "student", "content": "OK", "session_id": 8595, "sequence_id": 292, "annotations": []}
{"role": "volunteer", "content": "Hey", "session_id": 8595, "sequence_id": 293, "annotations": []}
{"role": "volunteer", "content": "we ask more questions if, if I'm", "session_id": 8595, "sequence_id": 294, "annotations": []}
{"role": "volunteer", "content": "if it's not clear", "session_id": 8595, "sequence_id": 295, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 8595, "sequence_id": 296, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 8595, "sequence_id": 297, "annotations": []}
{"role": "volunteer", "content": "So now", "session_id": 8595, "sequence_id": 298, "annotations": []}
{"role": "volunteer", "content": "um what would be the", "session_id": 8595, "sequence_id": 299, "annotations": []}
{"role": "volunteer", "content": "so if I'm differentiating the tangent of theta, what would I get if I'm differentiating that with respect to time.", "session_id": 8595, "sequence_id": 300, "annotations": []}
{"role": "student", "content": "If you're what", "session_id": 8595, "sequence_id": 301, "annotations": []}
{"role": "volunteer", "content": "So if I take the derivative of the tangent function, what would I get?", "session_id": 8595, "sequence_id": 302, "annotations": []}
{"role": "volunteer", "content": "What, what kind of", "session_id": 8595, "sequence_id": 303, "annotations": []}
{"role": "student", "content": "Um,", "session_id": 8595, "sequence_id": 304, "annotations": []}
{"role": "student", "content": "uh, 2 square.", "session_id": 8595, "sequence_id": 305, "annotations": []}
{"role": "volunteer", "content": "beautiful", "session_id": 8595, "sequence_id": 306, "annotations": []}
{"role": "volunteer", "content": "So, if I can write without", "session_id": 8595, "sequence_id": 307, "annotations": []}
{"role": "volunteer", "content": "messing this up here", "session_id": 8595, "sequence_id": 308, "annotations": []}
{"role": "volunteer", "content": "you're exactly right", "session_id": 8595, "sequence_id": 309, "annotations": []}
{"role": "volunteer", "content": "We would have", "session_id": 8595, "sequence_id": 310, "annotations": []}
{"role": "volunteer", "content": "sink and square theta.", "session_id": 8595, "sequence_id": 311, "annotations": []}
{"role": "volunteer", "content": "and by the chain rule, since we're", "session_id": 8595, "sequence_id": 312, "annotations": []}
{"role": "volunteer", "content": "multiplying, we're differentiating with respect to time. We must say the theta DT.", "session_id": 8595, "sequence_id": 313, "annotations": []}
{"role": "student", "content": "Mhm", "session_id": 8595, "sequence_id": 314, "annotations": []}
{"role": "volunteer", "content": "So we've, we've taken that", "session_id": 8595, "sequence_id": 315, "annotations": []}
{"role": "volunteer", "content": "derivative with respect to time on that side. And now we need to do the same thing on the right side.", "session_id": 8595, "sequence_id": 316, "annotations": []}
{"role": "volunteer", "content": "And if we do that", "session_id": 8595, "sequence_id": 317, "annotations": []}
{"role": "volunteer", "content": "we actually see", "session_id": 8595, "sequence_id": 318, "annotations": []}
{"role": "volunteer", "content": "we could use the um", "session_id": 8595, "sequence_id": 319, "annotations": []}
{"role": "volunteer", "content": "see the best way to do it", "session_id": 8595, "sequence_id": 320, "annotations": []}
{"role": "volunteer", "content": "Several ways to do that", "session_id": 8595, "sequence_id": 321, "annotations": []}
{"role": "volunteer", "content": "We could just, um, simplify this as", "session_id": 8595, "sequence_id": 322, "annotations": []}
{"role": "volunteer", "content": "if we wanted to, probably the easiest would be to have it as 15th", "session_id": 8595, "sequence_id": 323, "annotations": []}
{"role": "volunteer", "content": "We want to take the derivative with respect to time. I'm gonna have to raise.", "session_id": 8595, "sequence_id": 324, "annotations": []}
{"role": "volunteer", "content": "All right, we've got an expression which has a denominator 5000.", "session_id": 8595, "sequence_id": 325, "annotations": []}
{"role": "volunteer", "content": "So,", "session_id": 8595, "sequence_id": 326, "annotations": []}
{"role": "volunteer", "content": "I want to take the derivative with respect to time.", "session_id": 8595, "sequence_id": 327, "annotations": []}
{"role": "volunteer", "content": "If I do, I can break this into two", "session_id": 8595, "sequence_id": 328, "annotations": []}
{"role": "volunteer", "content": "variables", "session_id": 8595, "sequence_id": 329, "annotations": []}
{"role": "volunteer", "content": "The first one will be just 1/5.", "session_id": 8595, "sequence_id": 330, "annotations": []}
{"role": "volunteer", "content": "and the second one would be", "session_id": 8595, "sequence_id": 331, "annotations": []}
{"role": "volunteer", "content": "um", "session_id": 8595, "sequence_id": 332, "annotations": []}
{"role": "student", "content": "I", "session_id": 8595, "sequence_id": 333, "annotations": []}
{"role": "volunteer", "content": "6600 over 5000, which would be 6/50.", "session_id": 8595, "sequence_id": 334, "annotations": []}
{"role": "volunteer", "content": "times T", "session_id": 8595, "sequence_id": 335, "annotations": []}
{"role": "volunteer", "content": "So all I did was just divide", "session_id": 8595, "sequence_id": 336, "annotations": []}
{"role": "volunteer", "content": "I took the numerator and broke it into two parts.", "session_id": 8595, "sequence_id": 337, "annotations": []}
{"role": "student", "content": "say you have to brush your teeth.", "session_id": 8595, "sequence_id": 338, "annotations": []}
{"role": "volunteer", "content": "So far, so good", "session_id": 8595, "sequence_id": 339, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 8595, "sequence_id": 340, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 8595, "sequence_id": 341, "annotations": []}
{"role": "student", "content": "was my teeth", "session_id": 8595, "sequence_id": 342, "annotations": []}
{"role": "volunteer", "content": "All right.", "session_id": 8595, "sequence_id": 343, "annotations": []}
{"role": "volunteer", "content": "Now if we take", "session_id": 8595, "sequence_id": 344, "annotations": []}
{"role": "student", "content": "Sorry about the", "session_id": 8595, "sequence_id": 345, "annotations": []}
{"role": "volunteer", "content": "oh, you're fine", "session_id": 8595, "sequence_id": 346, "annotations": []}
{"role": "volunteer", "content": "All right, let's just rewrite what we have on the left. Sekin square.", "session_id": 8595, "sequence_id": 347, "annotations": []}
{"role": "volunteer", "content": "beta", "session_id": 8595, "sequence_id": 348, "annotations": []}
{"role": "volunteer", "content": "the theta DT.", "session_id": 8595, "sequence_id": 349, "annotations": []}
{"role": "volunteer", "content": "and the derivative of a constant is zero. What would I get for the derivative of the second term?", "session_id": 8595, "sequence_id": 350, "annotations": []}
{"role": "student", "content": "Um, you would get, wait, let me see. God bless your teeth.", "session_id": 8595, "sequence_id": 351, "annotations": []}
{"role": "student", "content": "What do you want?", "session_id": 8595, "sequence_id": 352, "annotations": []}
{"role": "volunteer", "content": "That's it", "session_id": 8595, "sequence_id": 353, "annotations": []}
{"role": "student", "content": "OK, so you would get um 6/50 and then", "session_id": 8595, "sequence_id": 354, "annotations": []}
{"role": "student", "content": "yeah, the DT well the time?", "session_id": 8595, "sequence_id": 355, "annotations": []}
{"role": "volunteer", "content": "Say it again, please", "session_id": 8595, "sequence_id": 356, "annotations": []}
{"role": "volunteer", "content": "Yeah.", "session_id": 8595, "sequence_id": 357, "annotations": []}
{"role": "student", "content": "Wait, is the tea the time right?", "session_id": 8595, "sequence_id": 358, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 8595, "sequence_id": 359, "annotations": []}
{"role": "volunteer", "content": "So", "session_id": 8595, "sequence_id": 360, "annotations": []}
{"role": "volunteer", "content": "what we have is we're saying sequin squared theta d theta dt.", "session_id": 8595, "sequence_id": 361, "annotations": []}
{"role": "volunteer", "content": "equals", "session_id": 8595, "sequence_id": 362, "annotations": []}
{"role": "volunteer", "content": "6/50", "session_id": 8595, "sequence_id": 363, "annotations": []}
{"role": "student", "content": "Mhm", "session_id": 8595, "sequence_id": 364, "annotations": []}
{"role": "volunteer", "content": "right?", "session_id": 8595, "sequence_id": 365, "annotations": []}
{"role": "volunteer", "content": "All right", "session_id": 8595, "sequence_id": 366, "annotations": []}
{"role": "student", "content": "Mhm", "session_id": 8595, "sequence_id": 367, "annotations": []}
{"role": "volunteer", "content": "Um", "session_id": 8595, "sequence_id": 368, "annotations": []}
{"role": "volunteer", "content": "now", "session_id": 8595, "sequence_id": 369, "annotations": []}
{"role": "volunteer", "content": "the question is, how could, if we solve for the theta dT, which is what they're asking for in the problem.", "session_id": 8595, "sequence_id": 370, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 8595, "sequence_id": 371, "annotations": []}
{"role": "volunteer", "content": "we", "session_id": 8595, "sequence_id": 372, "annotations": []}
{"role": "volunteer", "content": "um, we, we would take 6", "session_id": 8595, "sequence_id": 373, "annotations": []}
{"role": "volunteer", "content": "um", "session_id": 8595, "sequence_id": 374, "annotations": []}
{"role": "volunteer", "content": "so hold on a minute, let me think about this.", "session_id": 8595, "sequence_id": 375, "annotations": []}
{"role": "volunteer", "content": "So we still have to divide by", "session_id": 8595, "sequence_id": 376, "annotations": []}
{"role": "volunteer", "content": "we saw for uh defeated DP.", "session_id": 8595, "sequence_id": 377, "annotations": []}
{"role": "volunteer", "content": "um, seeking to", "session_id": 8595, "sequence_id": 378, "annotations": []}
{"role": "volunteer", "content": "one over cosign, right", "session_id": 8595, "sequence_id": 379, "annotations": []}
{"role": "student", "content": "Mhm.", "session_id": 8595, "sequence_id": 380, "annotations": []}
{"role": "volunteer", "content": "So we would have", "session_id": 8595, "sequence_id": 381, "annotations": []}
{"role": "volunteer", "content": "um", "session_id": 8595, "sequence_id": 382, "annotations": []}
{"role": "volunteer", "content": "so now the question becomes, how do I find out what sequin squared theta is.", "session_id": 8595, "sequence_id": 383, "annotations": []}
{"role": "volunteer", "content": "What", "session_id": 8595, "sequence_id": 384, "annotations": []}
{"role": "student", "content": "So we can't let our um answer with chicken squirt. Oh no, because you want the DDT on its own.", "session_id": 8595, "sequence_id": 385, "annotations": []}
{"role": "volunteer", "content": "right, exactly", "session_id": 8595, "sequence_id": 386, "annotations": []}
{"role": "student", "content": "Right.", "session_id": 8595, "sequence_id": 387, "annotations": []}
{"role": "volunteer", "content": "So now the the problem we're facing is what is sequin squared beta.", "session_id": 8595, "sequence_id": 388, "annotations": []}
{"role": "volunteer", "content": "Um", "session_id": 8595, "sequence_id": 389, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 8595, "sequence_id": 390, "annotations": []}
{"role": "volunteer", "content": "it, yeah.", "session_id": 8595, "sequence_id": 391, "annotations": []}
{"role": "volunteer", "content": "well, it", "session_id": 8595, "sequence_id": 392, "annotations": []}
{"role": "volunteer", "content": "skin square theta times def theta dt is 6/50.", "session_id": 8595, "sequence_id": 393, "annotations": []}
{"role": "student", "content": "I", "session_id": 8595, "sequence_id": 394, "annotations": []}
{"role": "volunteer", "content": "Um.", "session_id": 8595, "sequence_id": 395, "annotations": []}
{"role": "volunteer", "content": "so I've, now we need to think about what sequin squared theta, if there's anything we can do to get that to some kind of", "session_id": 8595, "sequence_id": 396, "annotations": []}
{"role": "volunteer", "content": "expression", "session_id": 8595, "sequence_id": 397, "annotations": []}
{"role": "volunteer", "content": "Um", "session_id": 8595, "sequence_id": 398, "annotations": []}
{"role": "volunteer", "content": "so, let me think here a minute.", "session_id": 8595, "sequence_id": 399, "annotations": []}
{"role": "student", "content": "Yeah.", "session_id": 8595, "sequence_id": 400, "annotations": []}
{"role": "volunteer", "content": "So this may be where we might have to", "session_id": 8595, "sequence_id": 401, "annotations": []}
{"role": "volunteer", "content": "use a little", "session_id": 8595, "sequence_id": 402, "annotations": []}
{"role": "volunteer", "content": "Pythagorean theorem. So,", "session_id": 8595, "sequence_id": 403, "annotations": []}
{"role": "volunteer", "content": "take is", "session_id": 8595, "sequence_id": 404, "annotations": []}
{"role": "volunteer", "content": "one over cosine, right?", "session_id": 8595, "sequence_id": 405, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 8595, "sequence_id": 406, "annotations": []}
{"role": "volunteer", "content": "So", "session_id": 8595, "sequence_id": 407, "annotations": []}
{"role": "volunteer", "content": "the cosine squared of", "session_id": 8595, "sequence_id": 408, "annotations": []}
{"role": "volunteer", "content": "So if we saw for the fatedta DT.", "session_id": 8595, "sequence_id": 409, "annotations": []}
{"role": "volunteer", "content": "equals 6/50.", "session_id": 8595, "sequence_id": 410, "annotations": []}
{"role": "volunteer", "content": "times", "session_id": 8595, "sequence_id": 411, "annotations": []}
{"role": "volunteer", "content": "cosine square", "session_id": 8595, "sequence_id": 412, "annotations": []}
{"role": "volunteer", "content": "theta", "session_id": 8595, "sequence_id": 413, "annotations": []}
{"role": "student", "content": "Wait,", "session_id": 8595, "sequence_id": 414, "annotations": []}
{"role": "student", "content": "Well, so what did you do on the left side? Did you divide by 2 square?", "session_id": 8595, "sequence_id": 415, "annotations": []}
{"role": "volunteer", "content": "Right, exactly right.", "session_id": 8595, "sequence_id": 416, "annotations": []}
{"role": "student", "content": "So you divide it by, OK, you divide a second square and you divide it on the other side.", "session_id": 8595, "sequence_id": 417, "annotations": []}
{"role": "volunteer", "content": "So if I divide both sides by seek and squared.", "session_id": 8595, "sequence_id": 418, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 8595, "sequence_id": 419, "annotations": []}
{"role": "volunteer", "content": "I get", "session_id": 8595, "sequence_id": 420, "annotations": []}
{"role": "volunteer", "content": "the theta ET equals 6/50 times the cosine squared of theta.", "session_id": 8595, "sequence_id": 421, "annotations": []}
{"role": "volunteer", "content": "right?", "session_id": 8595, "sequence_id": 422, "annotations": []}
{"role": "volunteer", "content": "If I haven't made a mistake", "session_id": 8595, "sequence_id": 423, "annotations": []}
{"role": "volunteer", "content": "um", "session_id": 8595, "sequence_id": 424, "annotations": []}
{"role": "student", "content": "Well, let me think about it for a second.", "session_id": 8595, "sequence_id": 425, "annotations": []}
{"role": "volunteer", "content": "Sure, let me think as well because we need, we need to make sure.", "session_id": 8595, "sequence_id": 426, "annotations": []}
{"role": "student", "content": "Yeah, cause 6 or 50 divided by 1 over cosine is um", "session_id": 8595, "sequence_id": 427, "annotations": []}
{"role": "student", "content": "5000 times co-signed over 1.", "session_id": 8595, "sequence_id": 428, "annotations": []}
{"role": "student", "content": "So it's basically 6500 co-sign.", "session_id": 8595, "sequence_id": 429, "annotations": []}
{"role": "volunteer", "content": "co-sign", "session_id": 8595, "sequence_id": 430, "annotations": []}
{"role": "student", "content": "Cosine squad", "session_id": 8595, "sequence_id": 431, "annotations": []}
{"role": "volunteer", "content": "right", "session_id": 8595, "sequence_id": 432, "annotations": []}
{"role": "volunteer", "content": "So now this", "session_id": 8595, "sequence_id": 433, "annotations": []}
{"role": "student", "content": "So, yeah.", "session_id": 8595, "sequence_id": 434, "annotations": []}
{"role": "volunteer", "content": "is, this is starting, starting to come back to what you were talking about. Do I need to", "session_id": 8595, "sequence_id": 435, "annotations": []}
{"role": "volunteer", "content": "I, do I, what, how am I gonna figure out how, what the cosine square", "session_id": 8595, "sequence_id": 436, "annotations": []}
{"role": "volunteer", "content": "is doing", "session_id": 8595, "sequence_id": 437, "annotations": []}
{"role": "volunteer", "content": "Um", "session_id": 8595, "sequence_id": 438, "annotations": []}
{"role": "volunteer", "content": "so let me think as well for a minute here. Divative tangent sequin square.", "session_id": 8595, "sequence_id": 439, "annotations": []}
{"role": "volunteer", "content": "faded deeply", "session_id": 8595, "sequence_id": 440, "annotations": []}
{"role": "student", "content": "But before you think for a second, I just wanna know why are we like changing it to one of our cos I, we can't just keep that again square.", "session_id": 8595, "sequence_id": 441, "annotations": []}
{"role": "volunteer", "content": "Well, if you want to, you could use 5000 divided by sequin squares, right?", "session_id": 8595, "sequence_id": 442, "annotations": []}
{"role": "student", "content": "Oh, but it's just like the vision, right? That's why we don't want that.", "session_id": 8595, "sequence_id": 443, "annotations": []}
{"role": "volunteer", "content": "Right, you, if we divide both sides by sequin squared theta.", "session_id": 8595, "sequence_id": 444, "annotations": []}
{"role": "volunteer", "content": "then we get defeta DT on the left.", "session_id": 8595, "sequence_id": 445, "annotations": []}
{"role": "volunteer", "content": "\"6/50\"", "session_id": 8595, "sequence_id": 446, "annotations": []}
{"role": "volunteer", "content": "divided by sequin square", "session_id": 8595, "sequence_id": 447, "annotations": []}
{"role": "volunteer", "content": "which should be cosine square.", "session_id": 8595, "sequence_id": 448, "annotations": []}
{"role": "student", "content": "OK", "session_id": 8595, "sequence_id": 449, "annotations": []}
{"role": "volunteer", "content": "Um", "session_id": 8595, "sequence_id": 450, "annotations": []}
{"role": "volunteer", "content": "Correct me if I'm wrong", "session_id": 8595, "sequence_id": 451, "annotations": []}
{"role": "volunteer", "content": "1 over cosigners seekin, right?", "session_id": 8595, "sequence_id": 452, "annotations": []}
{"role": "volunteer", "content": "Sometimes I get that", "session_id": 8595, "sequence_id": 453, "annotations": []}
{"role": "student", "content": "Yeah, it's.", "session_id": 8595, "sequence_id": 454, "annotations": []}
{"role": "volunteer", "content": "All right", "session_id": 8595, "sequence_id": 455, "annotations": []}
{"role": "student", "content": "it is.", "session_id": 8595, "sequence_id": 456, "annotations": []}
{"role": "volunteer", "content": "Um", "session_id": 8595, "sequence_id": 457, "annotations": []}
{"role": "volunteer", "content": "so we, we have a problem still because we don't know what cosine square to theta is as a function of time.", "session_id": 8595, "sequence_id": 458, "annotations": []}
{"role": "volunteer", "content": "And", "session_id": 8595, "sequence_id": 459, "annotations": []}
{"role": "volunteer", "content": "it would be nice", "session_id": 8595, "sequence_id": 460, "annotations": []}
{"role": "volunteer", "content": "and we should be able to", "session_id": 8595, "sequence_id": 461, "annotations": []}
{"role": "volunteer", "content": "we need to really", "session_id": 8595, "sequence_id": 462, "annotations": []}
{"role": "volunteer", "content": "get that as a function of time so that we can finish the problem, right?", "session_id": 8595, "sequence_id": 463, "annotations": []}
{"role": "student", "content": "Yeah.", "session_id": 8595, "sequence_id": 464, "annotations": []}
{"role": "volunteer", "content": "So if we look at that angle, the cosine has always got an adjacent side 5000.", "session_id": 8595, "sequence_id": 465, "annotations": []}
{"role": "volunteer", "content": "Um", "session_id": 8595, "sequence_id": 466, "annotations": []}
{"role": "volunteer", "content": "so that, and then it would be over the hypotenuse, which is", "session_id": 8595, "sequence_id": 467, "annotations": []}
{"role": "volunteer", "content": "changing according to Pythagorean's theorem, right?", "session_id": 8595, "sequence_id": 468, "annotations": []}
{"role": "student", "content": "Mhm", "session_id": 8595, "sequence_id": 469, "annotations": []}
{"role": "volunteer", "content": "And that would be", "session_id": 8595, "sequence_id": 470, "annotations": []}
{"role": "volunteer", "content": "the hypotenuse of that would be the square root.", "session_id": 8595, "sequence_id": 471, "annotations": []}
{"role": "volunteer", "content": "I'm just thinking out loud here now.", "session_id": 8595, "sequence_id": 472, "annotations": []}
{"role": "volunteer", "content": "of 5000, I 5000 square.", "session_id": 8595, "sequence_id": 473, "annotations": []}
{"role": "volunteer", "content": "plus the same old number we had 1000 + 600T", "session_id": 8595, "sequence_id": 474, "annotations": []}
{"role": "volunteer", "content": "times", "session_id": 8595, "sequence_id": 475, "annotations": []}
{"role": "volunteer", "content": "T", "session_id": 8595, "sequence_id": 476, "annotations": []}
{"role": "volunteer", "content": "So I'm gonna write this in here for cosine squared.", "session_id": 8595, "sequence_id": 477, "annotations": []}
{"role": "volunteer", "content": "cosine", "session_id": 8595, "sequence_id": 478, "annotations": []}
{"role": "volunteer", "content": "beta", "session_id": 8595, "sequence_id": 479, "annotations": []}
{"role": "volunteer", "content": "and then I'm gonna write it for cosine square data.", "session_id": 8595, "sequence_id": 480, "annotations": []}
{"role": "volunteer", "content": "So just bear with me for a minute here.", "session_id": 8595, "sequence_id": 481, "annotations": []}
{"role": "student", "content": "Yeah, no problem", "session_id": 8595, "sequence_id": 482, "annotations": []}
{"role": "volunteer", "content": "So I'm gonna write cosine theta", "session_id": 8595, "sequence_id": 483, "annotations": []}
{"role": "volunteer", "content": "5000", "session_id": 8595, "sequence_id": 484, "annotations": []}
{"role": "volunteer", "content": "over", "session_id": 8595, "sequence_id": 485, "annotations": []}
{"role": "volunteer", "content": "the square root of 5000", "session_id": 8595, "sequence_id": 486, "annotations": []}
{"role": "volunteer", "content": "square", "session_id": 8595, "sequence_id": 487, "annotations": []}
{"role": "volunteer", "content": "plus", "session_id": 8595, "sequence_id": 488, "annotations": []}
{"role": "volunteer", "content": "1000", "session_id": 8595, "sequence_id": 489, "annotations": []}
{"role": "volunteer", "content": "squared", "session_id": 8595, "sequence_id": 490, "annotations": []}
{"role": "volunteer", "content": "Do you see that", "session_id": 8595, "sequence_id": 491, "annotations": []}
{"role": "student", "content": "OK", "session_id": 8595, "sequence_id": 492, "annotations": []}
{"role": "volunteer", "content": "If you can read my writing", "session_id": 8595, "sequence_id": 493, "annotations": []}
{"role": "student", "content": "I can see.", "session_id": 8595, "sequence_id": 494, "annotations": []}
{"role": "volunteer", "content": "I'm gonna fix this part here, it's too messy.", "session_id": 8595, "sequence_id": 495, "annotations": []}
{"role": "student", "content": "Mhm", "session_id": 8595, "sequence_id": 496, "annotations": []}
{"role": "volunteer", "content": "We're almost done", "session_id": 8595, "sequence_id": 497, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 8595, "sequence_id": 498, "annotations": []}
{"role": "student", "content": "All right", "session_id": 8595, "sequence_id": 499, "annotations": []}
{"role": "volunteer", "content": "as good as I can do. So do you see that the cosine theta", "session_id": 8595, "sequence_id": 500, "annotations": []}
{"role": "volunteer", "content": "is always gonna be 5000, which is the adjacent side over the hypotenuse.", "session_id": 8595, "sequence_id": 501, "annotations": []}
{"role": "volunteer", "content": "which will be using the Pythagorean theorem.", "session_id": 8595, "sequence_id": 502, "annotations": []}
{"role": "volunteer", "content": "5000 square plus, that should be (1000 + 600T)^2, that should be (1000 + 600T)^2, shouldn't it, not a 1000 tea.", "session_id": 8595, "sequence_id": 503, "annotations": []}
{"role": "volunteer", "content": "I'm sorry", "session_id": 8595, "sequence_id": 504, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 8595, "sequence_id": 505, "annotations": []}
{"role": "volunteer", "content": "That should be", "session_id": 8595, "sequence_id": 506, "annotations": []}
{"role": "volunteer", "content": "that I've, I've got, I haven't completely written the expression properly. I got we race here.", "session_id": 8595, "sequence_id": 507, "annotations": []}
{"role": "volunteer", "content": "I've got a", "session_id": 8595, "sequence_id": 508, "annotations": []}
{"role": "student", "content": "Well, would that be (1000 + 600T)^2", "session_id": 8595, "sequence_id": 509, "annotations": []}
{"role": "student", "content": "or would it just be", "session_id": 8595, "sequence_id": 510, "annotations": []}
{"role": "volunteer", "content": "it would be the same thing that we used before, 6", "session_id": 8595, "sequence_id": 511, "annotations": []}
{"role": "student", "content": "1000 + 600 tea.", "session_id": 8595, "sequence_id": 512, "annotations": []}
{"role": "volunteer", "content": "1000 + 6600", "session_id": 8595, "sequence_id": 513, "annotations": []}
{"role": "volunteer", "content": "Yeah.", "session_id": 8595, "sequence_id": 514, "annotations": []}
{"role": "volunteer", "content": "So let me just kind of write that", "session_id": 8595, "sequence_id": 515, "annotations": []}
{"role": "volunteer", "content": "up.", "session_id": 8595, "sequence_id": 516, "annotations": []}
{"role": "volunteer", "content": "Yeah, I need to erase.", "session_id": 8595, "sequence_id": 517, "annotations": []}
{"role": "volunteer", "content": "I do apologize. I, I have a problem writing.", "session_id": 8595, "sequence_id": 518, "annotations": []}
{"role": "volunteer", "content": "and", "session_id": 8595, "sequence_id": 519, "annotations": []}
{"role": "student", "content": "No product. It's not a problem.", "session_id": 8595, "sequence_id": 520, "annotations": []}
{"role": "volunteer", "content": "but I think, I think the reasoning is all solid that we've, we've got here.", "session_id": 8595, "sequence_id": 521, "annotations": []}
{"role": "volunteer", "content": "All right", "session_id": 8595, "sequence_id": 522, "annotations": []}
{"role": "volunteer", "content": "I don't really have room, so I'm gonna need to.", "session_id": 8595, "sequence_id": 523, "annotations": []}
{"role": "volunteer", "content": "waste a little bit more", "session_id": 8595, "sequence_id": 524, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 8595, "sequence_id": 525, "annotations": []}
{"role": "volunteer", "content": "It's it kinda looks complicated, but it's really not something that we're gonna have to simplify it all.", "session_id": 8595, "sequence_id": 526, "annotations": []}
{"role": "volunteer", "content": "cause we'll just plug this right in after we square it.", "session_id": 8595, "sequence_id": 527, "annotations": []}
{"role": "volunteer", "content": "So this is gonna be", "session_id": 8595, "sequence_id": 528, "annotations": []}
{"role": "volunteer", "content": "this is gonna be 5000", "session_id": 8595, "sequence_id": 529, "annotations": []}
{"role": "volunteer", "content": "/", "session_id": 8595, "sequence_id": 530, "annotations": []}
{"role": "volunteer", "content": "No, it's a 1000 + 600T, right?", "session_id": 8595, "sequence_id": 531, "annotations": []}
{"role": "student", "content": "Mm", "session_id": 8595, "sequence_id": 532, "annotations": []}
{"role": "volunteer", "content": "Um", "session_id": 8595, "sequence_id": 533, "annotations": []}
{"role": "volunteer", "content": "600", "session_id": 8595, "sequence_id": 534, "annotations": []}
{"role": "volunteer", "content": "+ 1000", "session_id": 8595, "sequence_id": 535, "annotations": []}
{"role": "volunteer", "content": "tea.", "session_id": 8595, "sequence_id": 536, "annotations": []}
{"role": "volunteer", "content": "square", "session_id": 8595, "sequence_id": 537, "annotations": []}
{"role": "volunteer", "content": "It's 1000 + 600T, isn't it?", "session_id": 8595, "sequence_id": 538, "annotations": []}
{"role": "student", "content": "Yup, it is", "session_id": 8595, "sequence_id": 539, "annotations": []}
{"role": "volunteer", "content": "I can't turn to write that properly. Let me try one more time.", "session_id": 8595, "sequence_id": 540, "annotations": []}
{"role": "student", "content": "Do you want me to write it for you?", "session_id": 8595, "sequence_id": 541, "annotations": []}
{"role": "volunteer", "content": "If you can", "session_id": 8595, "sequence_id": 542, "annotations": []}
{"role": "volunteer", "content": "it would be helpful", "session_id": 8595, "sequence_id": 543, "annotations": []}
{"role": "student", "content": "OK, I'll write.", "session_id": 8595, "sequence_id": 544, "annotations": []}
{"role": "student", "content": "I", "session_id": 8595, "sequence_id": 545, "annotations": []}
{"role": "student", "content": "I", "session_id": 8595, "sequence_id": 546, "annotations": []}
{"role": "volunteer", "content": "Since I've done it wrong about 3 times now.", "session_id": 8595, "sequence_id": 547, "annotations": []}
{"role": "student", "content": "It's OK", "session_id": 8595, "sequence_id": 548, "annotations": []}
{"role": "volunteer", "content": "Yeah, that's much better", "session_id": 8595, "sequence_id": 549, "annotations": []}
{"role": "volunteer", "content": "Great.", "session_id": 8595, "sequence_id": 550, "annotations": []}
{"role": "volunteer", "content": "So we now have an expression for cosine of theta.", "session_id": 8595, "sequence_id": 551, "annotations": []}
{"role": "student", "content": "Mhm", "session_id": 8595, "sequence_id": 552, "annotations": []}
{"role": "volunteer", "content": "and it's based on the same logic that we were using for how tall the", "session_id": 8595, "sequence_id": 553, "annotations": []}
{"role": "volunteer", "content": "you know, the rock, how high up the rocket is at any time. It's the same thing.", "session_id": 8595, "sequence_id": 554, "annotations": []}
{"role": "volunteer", "content": "But we now have an expression for cosine theta and thus we have an expression for cosine squared of theta.", "session_id": 8595, "sequence_id": 555, "annotations": []}
{"role": "student", "content": "Mhm", "session_id": 8595, "sequence_id": 556, "annotations": []}
{"role": "volunteer", "content": "which we could just square the numerator and denominator.", "session_id": 8595, "sequence_id": 557, "annotations": []}
{"role": "volunteer", "content": "we would get", "session_id": 8595, "sequence_id": 558, "annotations": []}
{"role": "volunteer", "content": "5000 squared on the numerator and we would remove the radical sign from the denominator.", "session_id": 8595, "sequence_id": 559, "annotations": []}
{"role": "volunteer", "content": "and we would be done", "session_id": 8595, "sequence_id": 560, "annotations": []}
{"role": "volunteer", "content": "So we would have the complete expression for defatedta DT.", "session_id": 8595, "sequence_id": 561, "annotations": []}
{"role": "volunteer", "content": "6/50 times", "session_id": 8595, "sequence_id": 562, "annotations": []}
{"role": "volunteer", "content": "what I just said", "session_id": 8595, "sequence_id": 563, "annotations": []}
{"role": "volunteer", "content": "cosine theta squared, which is that mess there.", "session_id": 8595, "sequence_id": 564, "annotations": []}
{"role": "volunteer", "content": "squared.", "session_id": 8595, "sequence_id": 565, "annotations": []}
{"role": "student", "content": "Also, everything's squared, like the whole 5000 over those things square.", "session_id": 8595, "sequence_id": 566, "annotations": []}
{"role": "volunteer", "content": "Yes, so what you would do is", "session_id": 8595, "sequence_id": 567, "annotations": []}
{"role": "volunteer", "content": "I can try to write it", "session_id": 8595, "sequence_id": 568, "annotations": []}
{"role": "volunteer", "content": "or you can", "session_id": 8595, "sequence_id": 569, "annotations": []}
{"role": "student", "content": "Uh", "session_id": 8595, "sequence_id": 570, "annotations": []}
{"role": "student", "content": "right", "session_id": 8595, "sequence_id": 571, "annotations": []}
{"role": "volunteer", "content": "Since that's cosine theta.", "session_id": 8595, "sequence_id": 572, "annotations": []}
{"role": "volunteer", "content": "cosine squared", "session_id": 8595, "sequence_id": 573, "annotations": []}
{"role": "volunteer", "content": "which 5, let me see times pounds 5000 is, make sure I don't mess that up.", "session_id": 8595, "sequence_id": 574, "annotations": []}
{"role": "volunteer", "content": "5000 squared is", "session_id": 8595, "sequence_id": 575, "annotations": []}
{"role": "volunteer", "content": "a big number", "session_id": 8595, "sequence_id": 576, "annotations": []}
{"role": "volunteer", "content": "25 million", "session_id": 8595, "sequence_id": 577, "annotations": []}
{"role": "volunteer", "content": "might be best just to leave it this way.", "session_id": 8595, "sequence_id": 578, "annotations": []}
{"role": "volunteer", "content": "Leave it 5000 squared over, and we would simply remove the radical sign from the denominator.", "session_id": 8595, "sequence_id": 579, "annotations": []}
{"role": "volunteer", "content": "right?", "session_id": 8595, "sequence_id": 580, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 8595, "sequence_id": 581, "annotations": []}
{"role": "volunteer", "content": "So our final answer, um, I guess I'll try to write it here.", "session_id": 8595, "sequence_id": 582, "annotations": []}
{"role": "volunteer", "content": "See if I can do this without messing up too bad.", "session_id": 8595, "sequence_id": 583, "annotations": []}
{"role": "volunteer", "content": "The beta DT", "session_id": 8595, "sequence_id": 584, "annotations": []}
{"role": "volunteer", "content": "is", "session_id": 8595, "sequence_id": 585, "annotations": []}
{"role": "volunteer", "content": "650", "session_id": 8595, "sequence_id": 586, "annotations": []}
{"role": "volunteer", "content": "times", "session_id": 8595, "sequence_id": 587, "annotations": []}
{"role": "student", "content": "Mhm.", "session_id": 8595, "sequence_id": 588, "annotations": []}
{"role": "volunteer", "content": "5000 square.", "session_id": 8595, "sequence_id": 589, "annotations": []}
{"role": "volunteer", "content": "over", "session_id": 8595, "sequence_id": 590, "annotations": []}
{"role": "volunteer", "content": "5000 square.", "session_id": 8595, "sequence_id": 591, "annotations": []}
{"role": "volunteer", "content": "plus", "session_id": 8595, "sequence_id": 592, "annotations": []}
{"role": "volunteer", "content": "1000", "session_id": 8595, "sequence_id": 593, "annotations": []}
{"role": "volunteer", "content": "600", "session_id": 8595, "sequence_id": 594, "annotations": []}
{"role": "volunteer", "content": "P", "session_id": 8595, "sequence_id": 595, "annotations": []}
{"role": "volunteer", "content": "where", "session_id": 8595, "sequence_id": 596, "annotations": []}
{"role": "volunteer", "content": "So that's our answer", "session_id": 8595, "sequence_id": 597, "annotations": []}
{"role": "student", "content": "Mhm", "session_id": 8595, "sequence_id": 598, "annotations": []}
{"role": "volunteer", "content": "Now express the angle as a function of time.", "session_id": 8595, "sequence_id": 599, "annotations": []}
{"role": "volunteer", "content": "at 6:50", "session_id": 8595, "sequence_id": 600, "annotations": []}
{"role": "volunteer", "content": "times", "session_id": 8595, "sequence_id": 601, "annotations": []}
{"role": "volunteer", "content": "fraction 5000 squared / 5000 square + 1000 + 600 t squared.", "session_id": 8595, "sequence_id": 602, "annotations": []}
{"role": "volunteer", "content": "I don't know if you have", "session_id": 8595, "sequence_id": 603, "annotations": []}
{"role": "volunteer", "content": "an answer somewhere, but", "session_id": 8595, "sequence_id": 604, "annotations": []}
{"role": "volunteer", "content": "yeah", "session_id": 8595, "sequence_id": 605, "annotations": []}
{"role": "student", "content": "Yeah, there's the answer key", "session_id": 8595, "sequence_id": 606, "annotations": []}
{"role": "volunteer", "content": "So whether it looks like that or not, I guess we'll find out. Um", "session_id": 8595, "sequence_id": 607, "annotations": []}
{"role": "student", "content": "OK, let me go check.", "session_id": 8595, "sequence_id": 608, "annotations": []}
{"role": "student", "content": "OK, looking at the answer, he, it looks like they did, there's a little bit different than how we did ours.", "session_id": 8595, "sequence_id": 609, "annotations": []}
{"role": "volunteer", "content": "Mhm", "session_id": 8595, "sequence_id": 610, "annotations": []}
{"role": "student", "content": "and which like it's really a lot, but like that ends the insure that they got was 3/26. rats per second.", "session_id": 8595, "sequence_id": 611, "annotations": []}
{"role": "volunteer", "content": "So we need", "session_id": 8595, "sequence_id": 612, "annotations": []}
{"role": "student", "content": "I can", "session_id": 8595, "sequence_id": 613, "annotations": []}
{"role": "student", "content": "yeah, I can send the thing on here so you can look at it.", "session_id": 8595, "sequence_id": 614, "annotations": []}
{"role": "volunteer", "content": "OK.", "session_id": 8595, "sequence_id": 615, "annotations": []}
{"role": "volunteer", "content": "um", "session_id": 8595, "sequence_id": 616, "annotations": []}
{"role": "volunteer", "content": "so they did a radiant per second and they actually came up with a number, right?", "session_id": 8595, "sequence_id": 617, "annotations": []}
{"role": "student", "content": "Yeah, they came in", "session_id": 8595, "sequence_id": 618, "annotations": []}
{"role": "volunteer", "content": "So", "session_id": 8595, "sequence_id": 619, "annotations": []}
{"role": "volunteer", "content": "um", "session_id": 8595, "sequence_id": 620, "annotations": []}
{"role": "volunteer", "content": "what", "session_id": 8595, "sequence_id": 621, "annotations": []}
{"role": "student", "content": "So do you want me to send the thing here so you can see like the steps that you.", "session_id": 8595, "sequence_id": 622, "annotations": []}
{"role": "volunteer", "content": "Sure, um, what I don't understand on their answer though is", "session_id": 8595, "sequence_id": 623, "annotations": []}
{"role": "volunteer", "content": "the angle changes as time changes and in the, in the question it said", "session_id": 8595, "sequence_id": 624, "annotations": []}
{"role": "volunteer", "content": "as a function of time, OK?", "session_id": 8595, "sequence_id": 625, "annotations": []}
{"role": "student", "content": "Mhm.", "session_id": 8595, "sequence_id": 626, "annotations": []}
{"role": "volunteer", "content": "But you're, you're just giving me a, a number", "session_id": 8595, "sequence_id": 627, "annotations": []}
{"role": "volunteer", "content": "one number for radiance per second, right?", "session_id": 8595, "sequence_id": 628, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 8595, "sequence_id": 629, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 8595, "sequence_id": 630, "annotations": []}
{"role": "volunteer", "content": "So that bothers me because", "session_id": 8595, "sequence_id": 631, "annotations": []}
{"role": "volunteer", "content": "the angles changing as a function of time. If they said after 1 2nd or after 2 seconds what, then I could understand, you would, we would plug in and we would get radiants per second.", "session_id": 8595, "sequence_id": 632, "annotations": []}
{"role": "volunteer", "content": "But", "session_id": 8595, "sequence_id": 633, "annotations": []}
{"role": "volunteer", "content": "I don't, I don't see any problem where they um", "session_id": 8595, "sequence_id": 634, "annotations": []}
{"role": "volunteer", "content": "said what time they wanted to have", "session_id": 8595, "sequence_id": 635, "annotations": []}
{"role": "volunteer", "content": "um, so", "session_id": 8595, "sequence_id": 636, "annotations": []}
{"role": "volunteer", "content": "anyhow, yeah, I'd be happy to look at it, but I'm", "session_id": 8595, "sequence_id": 637, "annotations": []}
{"role": "volunteer", "content": "I feel like there's a", "session_id": 8595, "sequence_id": 638, "annotations": []}
{"role": "volunteer", "content": "little piece of information missing like at what time do they want to see how fast it's changing.", "session_id": 8595, "sequence_id": 639, "annotations": []}
{"role": "volunteer", "content": "anyhow.", "session_id": 8595, "sequence_id": 640, "annotations": []}
{"role": "student", "content": "Um", "session_id": 8595, "sequence_id": 641, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 8595, "sequence_id": 642, "annotations": []}
{"role": "student", "content": "wait, let me just send it to you so you can look at it, OK.", "session_id": 8595, "sequence_id": 643, "annotations": []}
{"role": "volunteer", "content": "Is it gonna be below all the stuff we wrote or?", "session_id": 8595, "sequence_id": 644, "annotations": []}
{"role": "student", "content": "Yeah, uh, it's probably gonna pop up up on top.", "session_id": 8595, "sequence_id": 645, "annotations": []}
{"role": "volunteer", "content": "OK, whatever", "session_id": 8595, "sequence_id": 646, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 8595, "sequence_id": 647, "annotations": []}
{"role": "volunteer", "content": "Hopefully", "session_id": 8595, "sequence_id": 648, "annotations": []}
{"role": "student", "content": "Actually ended up being below", "session_id": 8595, "sequence_id": 649, "annotations": []}
{"role": "volunteer", "content": "OK, that's fine. Let me get down there.", "session_id": 8595, "sequence_id": 650, "annotations": []}
{"role": "volunteer", "content": "Oops.", "session_id": 8595, "sequence_id": 651, "annotations": []}
{"role": "volunteer", "content": "OK, so", "session_id": 8595, "sequence_id": 652, "annotations": []}
{"role": "volunteer", "content": "um", "session_id": 8595, "sequence_id": 653, "annotations": []}
{"role": "volunteer", "content": "so, so they did, they did set it up a little different. It's the same idea.", "session_id": 8595, "sequence_id": 654, "annotations": []}
{"role": "student", "content": "Well, can you see or do I need to like zoom out a little bit.", "session_id": 8595, "sequence_id": 655, "annotations": []}
{"role": "volunteer", "content": "I, I can see it", "session_id": 8595, "sequence_id": 656, "annotations": []}
{"role": "student", "content": "OK", "session_id": 8595, "sequence_id": 657, "annotations": []}
{"role": "volunteer", "content": "I can read it OK", "session_id": 8595, "sequence_id": 658, "annotations": []}
{"role": "volunteer", "content": "Um", "session_id": 8595, "sequence_id": 659, "annotations": []}
{"role": "volunteer", "content": "so they're saying", "session_id": 8595, "sequence_id": 660, "annotations": []}
{"role": "volunteer", "content": "the tangent is the high.", "session_id": 8595, "sequence_id": 661, "annotations": []}
{"role": "volunteer", "content": "and", "session_id": 8595, "sequence_id": 662, "annotations": []}
{"role": "volunteer", "content": "they did the same thing we did.", "session_id": 8595, "sequence_id": 663, "annotations": []}
{"role": "volunteer", "content": "um", "session_id": 8595, "sequence_id": 664, "annotations": []}
{"role": "volunteer", "content": "so I", "session_id": 8595, "sequence_id": 665, "annotations": []}
{"role": "volunteer", "content": "see what they did", "session_id": 8595, "sequence_id": 666, "annotations": []}
{"role": "volunteer", "content": "OK, notice that when they", "session_id": 8595, "sequence_id": 667, "annotations": []}
{"role": "volunteer", "content": "they said when when H equals 1000.", "session_id": 8595, "sequence_id": 668, "annotations": []}
{"role": "volunteer", "content": "when the height 1000, which is at times 0, OK?", "session_id": 8595, "sequence_id": 669, "annotations": []}
{"role": "student", "content": "Mhm", "session_id": 8595, "sequence_id": 670, "annotations": []}
{"role": "volunteer", "content": "So they're actually, they're actually taking", "session_id": 8595, "sequence_id": 671, "annotations": []}
{"role": "volunteer", "content": "um", "session_id": 8595, "sequence_id": 672, "annotations": []}
{"role": "volunteer", "content": "they're actually kind of setting the time equal to 0, if I'm, when I'm looking at this,", "session_id": 8595, "sequence_id": 673, "annotations": []}
{"role": "student", "content": "So we missed that part", "session_id": 8595, "sequence_id": 674, "annotations": []}
{"role": "volunteer", "content": "I think they missed it, but let, let me just say why I think that", "session_id": 8595, "sequence_id": 675, "annotations": []}
{"role": "volunteer", "content": "So the problem", "session_id": 8595, "sequence_id": 676, "annotations": []}
{"role": "volunteer", "content": "as you put it up there at the beginning,", "session_id": 8595, "sequence_id": 677, "annotations": []}
{"role": "volunteer", "content": "it said", "session_id": 8595, "sequence_id": 678, "annotations": []}
{"role": "volunteer", "content": "let me go all the way, I have to go all the way back to the original statement, but", "session_id": 8595, "sequence_id": 679, "annotations": []}
{"role": "volunteer", "content": "um,", "session_id": 8595, "sequence_id": 680, "annotations": []}
{"role": "student", "content": "OK", "session_id": 8595, "sequence_id": 681, "annotations": []}
{"role": "volunteer", "content": "this is", "session_id": 8595, "sequence_id": 682, "annotations": []}
{"role": "volunteer", "content": "in my opinion,", "session_id": 8595, "sequence_id": 683, "annotations": []}
{"role": "volunteer", "content": "this is actually just showing it at that initial 2 at time equals 0.", "session_id": 8595, "sequence_id": 684, "annotations": []}
{"role": "volunteer", "content": "Um.", "session_id": 8595, "sequence_id": 685, "annotations": []}
{"role": "volunteer", "content": "but it doesn't answer the question as, as", "session_id": 8595, "sequence_id": 686, "annotations": []}
{"role": "volunteer", "content": "when time equals other values, OK?", "session_id": 8595, "sequence_id": 687, "annotations": []}
{"role": "student", "content": "Mm", "session_id": 8595, "sequence_id": 688, "annotations": []}
{"role": "volunteer", "content": "Do you see that", "session_id": 8595, "sequence_id": 689, "annotations": []}
{"role": "volunteer", "content": "See what I'm saying", "session_id": 8595, "sequence_id": 690, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 8595, "sequence_id": 691, "annotations": []}
{"role": "volunteer", "content": "The question didn't say what was the rate of change at time equals 0. It just said come up with an expression", "session_id": 8595, "sequence_id": 692, "annotations": []}
{"role": "volunteer", "content": "for it. So if we actually plug time equals 0 in", "session_id": 8595, "sequence_id": 693, "annotations": []}
{"role": "volunteer", "content": "to our", "session_id": 8595, "sequence_id": 694, "annotations": []}
{"role": "volunteer", "content": "um", "session_id": 8595, "sequence_id": 695, "annotations": []}
{"role": "volunteer", "content": "we should get the same answer", "session_id": 8595, "sequence_id": 696, "annotations": []}
{"role": "volunteer", "content": "Do you see what I'm, I'm questioning there.", "session_id": 8595, "sequence_id": 697, "annotations": []}
{"role": "student", "content": "Yeah, I see what you're trying to say.", "session_id": 8595, "sequence_id": 698, "annotations": []}
{"role": "volunteer", "content": "Because", "session_id": 8595, "sequence_id": 699, "annotations": []}
{"role": "student", "content": "I'm", "session_id": 8595, "sequence_id": 700, "annotations": []}
{"role": "volunteer", "content": "it said come up with it, with it as an expression of um", "session_id": 8595, "sequence_id": 701, "annotations": []}
{"role": "volunteer", "content": "with respect to time", "session_id": 8595, "sequence_id": 702, "annotations": []}
{"role": "volunteer", "content": "Well", "session_id": 8595, "sequence_id": 703, "annotations": []}
{"role": "volunteer", "content": "it's fine if we plugged in t equals 0.", "session_id": 8595, "sequence_id": 704, "annotations": []}
{"role": "volunteer", "content": "then it just becomes", "session_id": 8595, "sequence_id": 705, "annotations": []}
{"role": "volunteer", "content": "5000 squared / 5000 square, doesn't it?", "session_id": 8595, "sequence_id": 706, "annotations": []}
{"role": "volunteer", "content": "Um", "session_id": 8595, "sequence_id": 707, "annotations": []}
{"role": "volunteer", "content": "no, becomes, becomes 5000 squared over", "session_id": 8595, "sequence_id": 708, "annotations": []}
{"role": "volunteer", "content": "5000 square + 1000 square.", "session_id": 8595, "sequence_id": 709, "annotations": []}
{"role": "volunteer", "content": "So all I'm saying", "session_id": 8595, "sequence_id": 710, "annotations": []}
{"role": "volunteer", "content": "is", "session_id": 8595, "sequence_id": 711, "annotations": []}
{"role": "volunteer", "content": "their, their answer is right.", "session_id": 8595, "sequence_id": 712, "annotations": []}
{"role": "volunteer", "content": "for", "session_id": 8595, "sequence_id": 713, "annotations": []}
{"role": "volunteer", "content": "if you're just looking at the point where the rocket's just starting the launch, that the rate of change", "session_id": 8595, "sequence_id": 714, "annotations": []}
{"role": "volunteer", "content": "is", "session_id": 8595, "sequence_id": 715, "annotations": []}
{"role": "volunteer", "content": "going to be at that point", "session_id": 8595, "sequence_id": 716, "annotations": []}
{"role": "volunteer", "content": "But if you wanted to find out what the rate of change is of the angle at other times, it would be a different answer.", "session_id": 8595, "sequence_id": 717, "annotations": []}
{"role": "volunteer", "content": "Go ahead and plug in T equals 0 into what we did at the very bottom and see if I get the same answer as they did, OK?", "session_id": 8595, "sequence_id": 718, "annotations": []}
{"role": "student", "content": "OK", "session_id": 8595, "sequence_id": 719, "annotations": []}
{"role": "volunteer", "content": "Do you, do you see what I'm saying?", "session_id": 8595, "sequence_id": 720, "annotations": []}
{"role": "student", "content": "Yeah, I see what you're saying", "session_id": 8595, "sequence_id": 721, "annotations": []}
{"role": "volunteer", "content": "OK, so I'm going to", "session_id": 8595, "sequence_id": 722, "annotations": []}
{"role": "volunteer", "content": "get my calculator out here.", "session_id": 8595, "sequence_id": 723, "annotations": []}
{"role": "volunteer", "content": "I'm gonna do a fraction", "session_id": 8595, "sequence_id": 724, "annotations": []}
{"role": "volunteer", "content": "the 2nd 1, 2nd fraction first there.", "session_id": 8595, "sequence_id": 725, "annotations": []}
{"role": "volunteer", "content": "I'm gonna use 1000 square.", "session_id": 8595, "sequence_id": 726, "annotations": []}
{"role": "volunteer", "content": "divided by", "session_id": 8595, "sequence_id": 727, "annotations": []}
{"role": "volunteer", "content": "5000 square", "session_id": 8595, "sequence_id": 728, "annotations": []}
{"role": "volunteer", "content": "plus", "session_id": 8595, "sequence_id": 729, "annotations": []}
{"role": "volunteer", "content": "and since time equals 0, it would be 1000 square.", "session_id": 8595, "sequence_id": 730, "annotations": []}
{"role": "volunteer", "content": "So 1000", "session_id": 8595, "sequence_id": 731, "annotations": []}
{"role": "volunteer", "content": "square", "session_id": 8595, "sequence_id": 732, "annotations": []}
{"role": "volunteer", "content": "and I get 25, 26, which is exactly", "session_id": 8595, "sequence_id": 733, "annotations": []}
{"role": "volunteer", "content": "well, let's", "session_id": 8595, "sequence_id": 734, "annotations": []}
{"role": "volunteer", "content": "so 25, 26 for that answer times 650.", "session_id": 8595, "sequence_id": 735, "annotations": []}
{"role": "volunteer", "content": "So I'm gonna take times", "session_id": 8595, "sequence_id": 736, "annotations": []}
{"role": "volunteer", "content": "6", "session_id": 8595, "sequence_id": 737, "annotations": []}
{"role": "volunteer", "content": "50", "session_id": 8595, "sequence_id": 738, "annotations": []}
{"role": "volunteer", "content": "and", "session_id": 8595, "sequence_id": 739, "annotations": []}
{"role": "volunteer", "content": "so", "session_id": 8595, "sequence_id": 740, "annotations": []}
{"role": "volunteer", "content": "our answer is exactly the same as theirs", "session_id": 8595, "sequence_id": 741, "annotations": []}
{"role": "volunteer", "content": "when you plug in T equals 0.", "session_id": 8595, "sequence_id": 742, "annotations": []}
{"role": "volunteer", "content": "I, I worked through the math, OK?", "session_id": 8595, "sequence_id": 743, "annotations": []}
{"role": "volunteer", "content": "You get, you get the exact same radiance per second.", "session_id": 8595, "sequence_id": 744, "annotations": []}
{"role": "volunteer", "content": "Are you still there", "session_id": 8595, "sequence_id": 745, "annotations": []}
{"role": "student", "content": "Yeah, I'm here", "session_id": 8595, "sequence_id": 746, "annotations": []}
{"role": "volunteer", "content": "OK. So if you plug in T equals 0 into what we did.", "session_id": 8595, "sequence_id": 747, "annotations": []}
{"role": "volunteer", "content": "It gives it, it gives the same answer they get.", "session_id": 8595, "sequence_id": 748, "annotations": []}
{"role": "student", "content": "OK", "session_id": 8595, "sequence_id": 749, "annotations": []}
{"role": "volunteer", "content": "But this, this answer that you and I worked on is", "session_id": 8595, "sequence_id": 750, "annotations": []}
{"role": "volunteer", "content": "far better", "session_id": 8595, "sequence_id": 751, "annotations": []}
{"role": "volunteer", "content": "because it allows you to", "session_id": 8595, "sequence_id": 752, "annotations": []}
{"role": "volunteer", "content": "find out the rate of change of the angle", "session_id": 8595, "sequence_id": 753, "annotations": []}
{"role": "volunteer", "content": "at any time after", "session_id": 8595, "sequence_id": 754, "annotations": []}
{"role": "volunteer", "content": "the launch", "session_id": 8595, "sequence_id": 755, "annotations": []}
{"role": "student", "content": "Sure.", "session_id": 8595, "sequence_id": 756, "annotations": []}
{"role": "volunteer", "content": "Their answer is only for the", "session_id": 8595, "sequence_id": 757, "annotations": []}
{"role": "volunteer", "content": "for", "session_id": 8595, "sequence_id": 758, "annotations": []}
{"role": "volunteer", "content": "at the instant of the launch, how fast does the angle changing?", "session_id": 8595, "sequence_id": 759, "annotations": []}
{"role": "volunteer", "content": "But if you wanted to find how fast the angle was changing after 1 2nd, you would have to plug in one into our", "session_id": 8595, "sequence_id": 760, "annotations": []}
{"role": "volunteer", "content": "formula.", "session_id": 8595, "sequence_id": 761, "annotations": []}
{"role": "volunteer", "content": "If you wanted to find out how fast the angle is changing after 2 seconds, you would have to plug", "session_id": 8595, "sequence_id": 762, "annotations": []}
{"role": "volunteer", "content": "2 into our formula and so forth.", "session_id": 8595, "sequence_id": 763, "annotations": []}
{"role": "student", "content": "OK. Here's how I see that the, maybe the problem will also saying that already, but we just maybe didn't catch it because it says when the rocket 1000 ft above the launch pad.", "session_id": 8595, "sequence_id": 764, "annotations": []}
{"role": "student", "content": "find the necessary rate of change. So maybe that when.", "session_id": 8595, "sequence_id": 765, "annotations": []}
{"role": "volunteer", "content": "Ah, you're right", "session_id": 8595, "sequence_id": 766, "annotations": []}
{"role": "student", "content": "is when you're trying to tell us, yeah.", "session_id": 8595, "sequence_id": 767, "annotations": []}
{"role": "volunteer", "content": "Very good, very good. So", "session_id": 8595, "sequence_id": 768, "annotations": []}
{"role": "volunteer", "content": "I, I still like our", "session_id": 8595, "sequence_id": 769, "annotations": []}
{"role": "volunteer", "content": "I still like our solution though.", "session_id": 8595, "sequence_id": 770, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 8595, "sequence_id": 771, "annotations": []}
{"role": "volunteer", "content": "because it's more general, but you're right that I think you've gotten the reason why it's at T equals 0.", "session_id": 8595, "sequence_id": 772, "annotations": []}
{"role": "volunteer", "content": "So,", "session_id": 8595, "sequence_id": 773, "annotations": []}
{"role": "volunteer", "content": "yes, it would have been easier to do it their way.", "session_id": 8595, "sequence_id": 774, "annotations": []}
{"role": "volunteer", "content": "but I find", "session_id": 8595, "sequence_id": 775, "annotations": []}
{"role": "volunteer", "content": "our way or this way to be much more gratifying or", "session_id": 8595, "sequence_id": 776, "annotations": []}
{"role": "volunteer", "content": "um helping and understanding, because if you think about it intuitively, you know that angle is going to", "session_id": 8595, "sequence_id": 777, "annotations": []}
{"role": "volunteer", "content": "increase", "session_id": 8595, "sequence_id": 778, "annotations": []}
{"role": "volunteer", "content": "um", "session_id": 8595, "sequence_id": 779, "annotations": []}
{"role": "volunteer", "content": "you, you know the angle's gonna be changing as time changes, and we came up with an expression", "session_id": 8595, "sequence_id": 780, "annotations": []}
{"role": "volunteer", "content": "that", "session_id": 8595, "sequence_id": 781, "annotations": []}
{"role": "volunteer", "content": "gives the rate of change of the angle with respect to time. That's radiance per second", "session_id": 8595, "sequence_id": 782, "annotations": []}
{"role": "volunteer", "content": "But.", "session_id": 8595, "sequence_id": 783, "annotations": []}
{"role": "student", "content": "Mm", "session_id": 8595, "sequence_id": 784, "annotations": []}
{"role": "volunteer", "content": "this, this allows you to, to find it at any time, not just at the launch time, but", "session_id": 8595, "sequence_id": 785, "annotations": []}
{"role": "volunteer", "content": "anyhow,", "session_id": 8595, "sequence_id": 786, "annotations": []}
{"role": "volunteer", "content": "um, I hope", "session_id": 8595, "sequence_id": 787, "annotations": []}
{"role": "volunteer", "content": "I hope I haven't led you into too much extra time or work on this, but", "session_id": 8595, "sequence_id": 788, "annotations": []}
{"role": "volunteer", "content": "um,", "session_id": 8595, "sequence_id": 789, "annotations": []}
{"role": "volunteer", "content": "I, I think both answers are right", "session_id": 8595, "sequence_id": 790, "annotations": []}
{"role": "volunteer", "content": "Um.", "session_id": 8595, "sequence_id": 791, "annotations": []}
{"role": "volunteer", "content": "they get to it quicker", "session_id": 8595, "sequence_id": 792, "annotations": []}
{"role": "volunteer", "content": "because they didn't really", "session_id": 8595, "sequence_id": 793, "annotations": []}
{"role": "volunteer", "content": "do a general solution to it, but", "session_id": 8595, "sequence_id": 794, "annotations": []}
{"role": "volunteer", "content": "anyhow.", "session_id": 8595, "sequence_id": 795, "annotations": []}
{"role": "student", "content": "Yeah, no problem.", "session_id": 8595, "sequence_id": 796, "annotations": []}
{"role": "volunteer", "content": "Do you, do you", "session_id": 8595, "sequence_id": 797, "annotations": []}
{"role": "volunteer", "content": "follow everything we did because if you did, you're doing great", "session_id": 8595, "sequence_id": 798, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 8595, "sequence_id": 799, "annotations": []}
{"role": "student", "content": "Do you, do you have time or you gotta go.", "session_id": 8595, "sequence_id": 800, "annotations": []}
{"role": "volunteer", "content": "I have time. Um", "session_id": 8595, "sequence_id": 801, "annotations": []}
{"role": "volunteer", "content": "do", "session_id": 8595, "sequence_id": 802, "annotations": []}
{"role": "volunteer", "content": "so, um, getting back to your original question,", "session_id": 8595, "sequence_id": 803, "annotations": []}
{"role": "volunteer", "content": "you know, how come it", "session_id": 8595, "sequence_id": 804, "annotations": []}
{"role": "volunteer", "content": "we didn't use Pythagorean serum.", "session_id": 8595, "sequence_id": 805, "annotations": []}
{"role": "volunteer", "content": "We did a little bit on the", "session_id": 8595, "sequence_id": 806, "annotations": []}
{"role": "volunteer", "content": "on the cosine part, but", "session_id": 8595, "sequence_id": 807, "annotations": []}
{"role": "volunteer", "content": "again", "session_id": 8595, "sequence_id": 808, "annotations": []}
{"role": "volunteer", "content": "for this problem, the main trick is to, to look at the tangent of the angle.", "session_id": 8595, "sequence_id": 809, "annotations": []}
{"role": "volunteer", "content": "and do", "session_id": 8595, "sequence_id": 810, "annotations": []}
{"role": "volunteer", "content": "be able to solve the problem.", "session_id": 8595, "sequence_id": 811, "annotations": []}
{"role": "student", "content": "Sorry, give me one minute. I'll paste the next one.", "session_id": 8595, "sequence_id": 812, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 8595, "sequence_id": 813, "annotations": []}
{"role": "student", "content": "And uh", "session_id": 8595, "sequence_id": 814, "annotations": []}
{"role": "volunteer", "content": "Do we want to clear the board altogether?", "session_id": 8595, "sequence_id": 815, "annotations": []}
{"role": "student", "content": "excuse me", "session_id": 8595, "sequence_id": 816, "annotations": []}
{"role": "volunteer", "content": "I can erase it", "session_id": 8595, "sequence_id": 817, "annotations": []}
{"role": "volunteer", "content": "Do you want me to clear the board altogether or do, do you have what we did save some", "session_id": 8595, "sequence_id": 818, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 8595, "sequence_id": 819, "annotations": []}
{"role": "volunteer", "content": "So would you like me to do just clear the board altogether a whiteboard?", "session_id": 8595, "sequence_id": 820, "annotations": []}
{"role": "student", "content": "Yeah, you can", "session_id": 8595, "sequence_id": 821, "annotations": []}
{"role": "volunteer", "content": "OK.", "session_id": 8595, "sequence_id": 822, "annotations": []}
{"role": "volunteer", "content": "There you go", "session_id": 8595, "sequence_id": 823, "annotations": []}
{"role": "student", "content": "Can you see the next one", "session_id": 8595, "sequence_id": 824, "annotations": []}
{"role": "volunteer", "content": "Yeah, I see it. Thank you", "session_id": 8595, "sequence_id": 825, "annotations": []}
{"role": "student", "content": "OK", "session_id": 8595, "sequence_id": 826, "annotations": []}
{"role": "volunteer", "content": "All right. So,", "session_id": 8595, "sequence_id": 827, "annotations": []}
{"role": "student", "content": "Wait, do you want me to kinda like start it so that like to make sure that I'm getting it because I have a test on condition", "session_id": 8595, "sequence_id": 828, "annotations": []}
{"role": "student", "content": "and you can", "session_id": 8595, "sequence_id": 829, "annotations": []}
{"role": "volunteer", "content": "yeah.", "session_id": 8595, "sequence_id": 830, "annotations": []}
{"role": "student", "content": "me and correct me and stuff", "session_id": 8595, "sequence_id": 831, "annotations": []}
{"role": "volunteer", "content": "Yeah, uh, it is better if you do it, especially since my", "session_id": 8595, "sequence_id": 832, "annotations": []}
{"role": "volunteer", "content": "penmanship and etc. is awful. Why don't you draw a picture of what, why don't you draw a picture of a cone upside down.", "session_id": 8595, "sequence_id": 833, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 8595, "sequence_id": 834, "annotations": []}
{"role": "volunteer", "content": "that will be the good first starting.", "session_id": 8595, "sequence_id": 835, "annotations": []}
{"role": "student", "content": "Mhm", "session_id": 8595, "sequence_id": 836, "annotations": []}
{"role": "volunteer", "content": "just a nice cone upside down, would be great.", "session_id": 8595, "sequence_id": 837, "annotations": []}
{"role": "student", "content": "I would be nice, but", "session_id": 8595, "sequence_id": 838, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 8595, "sequence_id": 839, "annotations": []}
{"role": "volunteer", "content": "Do it as a side view, just, you know, like a, uh, you don't even need, well, you can do it that way, whatever.", "session_id": 8595, "sequence_id": 840, "annotations": []}
{"role": "volunteer", "content": "OK, that's good", "session_id": 8595, "sequence_id": 841, "annotations": []}
{"role": "volunteer", "content": "Um.", "session_id": 8595, "sequence_id": 842, "annotations": []}
{"role": "student", "content": "Wait, what do you want me to do", "session_id": 8595, "sequence_id": 843, "annotations": []}
{"role": "volunteer", "content": "you're, you're OK", "session_id": 8595, "sequence_id": 844, "annotations": []}
{"role": "volunteer", "content": "Um", "session_id": 8595, "sequence_id": 845, "annotations": []}
{"role": "student", "content": "OK", "session_id": 8595, "sequence_id": 846, "annotations": []}
{"role": "volunteer", "content": "all right", "session_id": 8595, "sequence_id": 847, "annotations": []}
{"role": "volunteer", "content": "So, water is draining around the height of the funnel is 2 ft.", "session_id": 8595, "sequence_id": 848, "annotations": []}
{"role": "student", "content": "OK, so the high, so this right here, right?", "session_id": 8595, "sequence_id": 849, "annotations": []}
{"role": "volunteer", "content": "Yes, that's exactly right.", "session_id": 8595, "sequence_id": 850, "annotations": []}
{"role": "volunteer", "content": "And that would be 2 ft.", "session_id": 8595, "sequence_id": 851, "annotations": []}
{"role": "student", "content": "And", "session_id": 8595, "sequence_id": 852, "annotations": []}
{"role": "volunteer", "content": "and the radius of the top is 1 ft, so we can, we have a 1 ft radius.", "session_id": 8595, "sequence_id": 853, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 8595, "sequence_id": 854, "annotations": []}
{"role": "student", "content": "and", "session_id": 8595, "sequence_id": 855, "annotations": []}
{"role": "volunteer", "content": "So at what rate is the height of the water funnel changing when the height of the water.", "session_id": 8595, "sequence_id": 856, "annotations": []}
{"role": "volunteer", "content": "So we want", "session_id": 8595, "sequence_id": 857, "annotations": []}
{"role": "student", "content": "So we're trying to find the DH", "session_id": 8595, "sequence_id": 858, "annotations": []}
{"role": "student", "content": "B T right", "session_id": 8595, "sequence_id": 859, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 8595, "sequence_id": 860, "annotations": []}
{"role": "student", "content": "When", "session_id": 8595, "sequence_id": 861, "annotations": []}
{"role": "student", "content": "it is one hat.", "session_id": 8595, "sequence_id": 862, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 8595, "sequence_id": 863, "annotations": []}
{"role": "volunteer", "content": "So I think the key to this problem is probably gonna be something that might surprise you like similar triangles.", "session_id": 8595, "sequence_id": 864, "annotations": []}
{"role": "volunteer", "content": "Um", "session_id": 8595, "sequence_id": 865, "annotations": []}
{"role": "volunteer", "content": "so", "session_id": 8595, "sequence_id": 866, "annotations": []}
{"role": "volunteer", "content": "if you think about it", "session_id": 8595, "sequence_id": 867, "annotations": []}
{"role": "volunteer", "content": "um", "session_id": 8595, "sequence_id": 868, "annotations": []}
{"role": "student", "content": "Oh, we're missing something. So what are you gonna not do it. So we have that 0.", "session_id": 8595, "sequence_id": 869, "annotations": []}
{"role": "student", "content": "03 ft.", "session_id": 8595, "sequence_id": 870, "annotations": []}
{"role": "student", "content": "This looks like it could be the volume.", "session_id": 8595, "sequence_id": 871, "annotations": []}
{"role": "volunteer", "content": "the water is draining from the bottom of the cone at a rate of", "session_id": 8595, "sequence_id": 872, "annotations": []}
{"role": "volunteer", "content": "cubic feet per second, right?", "session_id": 8595, "sequence_id": 873, "annotations": []}
{"role": "student", "content": "Is this the volume", "session_id": 8595, "sequence_id": 874, "annotations": []}
{"role": "volunteer", "content": "That's volume, yes", "session_id": 8595, "sequence_id": 875, "annotations": []}
{"role": "volunteer", "content": "So the volume", "session_id": 8595, "sequence_id": 876, "annotations": []}
{"role": "student", "content": "Yeah, cause I thought you.", "session_id": 8595, "sequence_id": 877, "annotations": []}
{"role": "volunteer", "content": "so what, what, let's see, the volume of a cone, you can help me out here, is it uh 1/3", "session_id": 8595, "sequence_id": 878, "annotations": []}
{"role": "volunteer", "content": "1/3 pie", "session_id": 8595, "sequence_id": 879, "annotations": []}
{"role": "volunteer", "content": "R2H, I believe, 13R2 H.", "session_id": 8595, "sequence_id": 880, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 8595, "sequence_id": 881, "annotations": []}
{"role": "volunteer", "content": "Right", "session_id": 8595, "sequence_id": 882, "annotations": []}
{"role": "student", "content": "Something I need to like remember and learn, or it's definitely the formulas of these like shapes cuz I really have no idea like on any of them. I don't think they're gonna give us a formula sheet, so you have to remember all that.", "session_id": 8595, "sequence_id": 883, "annotations": []}
{"role": "volunteer", "content": "Right", "session_id": 8595, "sequence_id": 884, "annotations": []}
{"role": "volunteer", "content": "Um", "session_id": 8595, "sequence_id": 885, "annotations": []}
{"role": "volunteer", "content": "I'm", "session_id": 8595, "sequence_id": 886, "annotations": []}
{"role": "volunteer", "content": "I'm pretty sure the volume of a cone, I'm gonna check", "session_id": 8595, "sequence_id": 887, "annotations": []}
{"role": "volunteer", "content": "give me a minute to check for the formula. I'll be right back.", "session_id": 8595, "sequence_id": 888, "annotations": []}
{"role": "student", "content": "Mhm", "session_id": 8595, "sequence_id": 889, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 8595, "sequence_id": 890, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 8595, "sequence_id": 891, "annotations": []}
{"role": "student", "content": "Well, so it's, it's, what did you say it was?", "session_id": 8595, "sequence_id": 892, "annotations": []}
{"role": "volunteer", "content": "It's out, I'll write it out there for us.", "session_id": 8595, "sequence_id": 893, "annotations": []}
{"role": "student", "content": "OK", "session_id": 8595, "sequence_id": 894, "annotations": []}
{"role": "volunteer", "content": "try not to mess it up", "session_id": 8595, "sequence_id": 895, "annotations": []}
{"role": "volunteer", "content": "up too fine too fine here. So,", "session_id": 8595, "sequence_id": 896, "annotations": []}
{"role": "volunteer", "content": "volume", "session_id": 8595, "sequence_id": 897, "annotations": []}
{"role": "volunteer", "content": "is 1/3", "session_id": 8595, "sequence_id": 898, "annotations": []}
{"role": "volunteer", "content": "I", "session_id": 8595, "sequence_id": 899, "annotations": []}
{"role": "volunteer", "content": "r^2", "session_id": 8595, "sequence_id": 900, "annotations": []}
{"role": "volunteer", "content": "H.", "session_id": 8595, "sequence_id": 901, "annotations": []}
{"role": "volunteer", "content": "So that's a critical", "session_id": 8595, "sequence_id": 902, "annotations": []}
{"role": "volunteer", "content": "critical formula for us", "session_id": 8595, "sequence_id": 903, "annotations": []}
{"role": "student", "content": "What does it look like H has some feet and it's working.", "session_id": 8595, "sequence_id": 904, "annotations": []}
{"role": "volunteer", "content": "because I'm really terrible.", "session_id": 8595, "sequence_id": 905, "annotations": []}
{"role": "student", "content": "No, it's OK.", "session_id": 8595, "sequence_id": 906, "annotations": []}
{"role": "volunteer", "content": "But thanks for the humor. I, I need it.", "session_id": 8595, "sequence_id": 907, "annotations": []}
{"role": "student", "content": "Yeah.", "session_id": 8595, "sequence_id": 908, "annotations": []}
{"role": "volunteer", "content": "OK, so", "session_id": 8595, "sequence_id": 909, "annotations": []}
{"role": "volunteer", "content": "we can see that um", "session_id": 8595, "sequence_id": 910, "annotations": []}
{"role": "volunteer", "content": "BV", "session_id": 8595, "sequence_id": 911, "annotations": []}
{"role": "volunteer", "content": "so we know that DV", "session_id": 8595, "sequence_id": 912, "annotations": []}
{"role": "volunteer", "content": "DT", "session_id": 8595, "sequence_id": 913, "annotations": []}
{"role": "volunteer", "content": "cause", "session_id": 8595, "sequence_id": 914, "annotations": []}
{"role": "student", "content": "Mhm", "session_id": 8595, "sequence_id": 915, "annotations": []}
{"role": "volunteer", "content": "negative", "session_id": 8595, "sequence_id": 916, "annotations": []}
{"role": "volunteer", "content": "0.03", "session_id": 8595, "sequence_id": 917, "annotations": []}
{"role": "volunteer", "content": "feet per cubic second.", "session_id": 8595, "sequence_id": 918, "annotations": []}
{"role": "volunteer", "content": "DV", "session_id": 8595, "sequence_id": 919, "annotations": []}
{"role": "volunteer", "content": "So that's interesting information. And so", "session_id": 8595, "sequence_id": 920, "annotations": []}
{"role": "volunteer", "content": "um,", "session_id": 8595, "sequence_id": 921, "annotations": []}
{"role": "volunteer", "content": "if we're trying to find the rate, the height of the water is changing when the height is 15. We could solve for", "session_id": 8595, "sequence_id": 922, "annotations": []}
{"role": "volunteer", "content": "H", "session_id": 8595, "sequence_id": 923, "annotations": []}
{"role": "volunteer", "content": "Well, let's think about this", "session_id": 8595, "sequence_id": 924, "annotations": []}
{"role": "volunteer", "content": "If we took the derivative of both sides of the equation with respect to time.", "session_id": 8595, "sequence_id": 925, "annotations": []}
{"role": "student", "content": "Do you want me to take the derivative of it?", "session_id": 8595, "sequence_id": 926, "annotations": []}
{"role": "volunteer", "content": "Well, not quite, but I'm still kind of thinking for a second here.", "session_id": 8595, "sequence_id": 927, "annotations": []}
{"role": "volunteer", "content": "So,", "session_id": 8595, "sequence_id": 928, "annotations": []}
{"role": "volunteer", "content": "um", "session_id": 8595, "sequence_id": 929, "annotations": []}
{"role": "volunteer", "content": "so we have one problem", "session_id": 8595, "sequence_id": 930, "annotations": []}
{"role": "volunteer", "content": "Not only is H changing", "session_id": 8595, "sequence_id": 931, "annotations": []}
{"role": "volunteer", "content": "but R is changing as well.", "session_id": 8595, "sequence_id": 932, "annotations": []}
{"role": "volunteer", "content": "So if you think about it", "session_id": 8595, "sequence_id": 933, "annotations": []}
{"role": "volunteer", "content": "when, when the water starts going down,", "session_id": 8595, "sequence_id": 934, "annotations": []}
{"role": "student", "content": "Mhm", "session_id": 8595, "sequence_id": 935, "annotations": []}
{"role": "volunteer", "content": "the radius is, the radius is 1 ft at the top when it's full, right?", "session_id": 8595, "sequence_id": 936, "annotations": []}
{"role": "student", "content": "Mhm", "session_id": 8595, "sequence_id": 937, "annotations": []}
{"role": "volunteer", "content": "But when it, when it goes down, not only is the height changing", "session_id": 8595, "sequence_id": 938, "annotations": []}
{"role": "volunteer", "content": "but the radius is also changing.", "session_id": 8595, "sequence_id": 939, "annotations": []}
{"role": "student", "content": "Right", "session_id": 8595, "sequence_id": 940, "annotations": []}
{"role": "volunteer", "content": "So what we need is we, we can't just go willy-nilly off into the", "session_id": 8595, "sequence_id": 941, "annotations": []}
{"role": "volunteer", "content": "um", "session_id": 8595, "sequence_id": 942, "annotations": []}
{"role": "volunteer", "content": "we, we need to have, be able to account for that.", "session_id": 8595, "sequence_id": 943, "annotations": []}
{"role": "volunteer", "content": "in our", "session_id": 8595, "sequence_id": 944, "annotations": []}
{"role": "volunteer", "content": "in our calculations.", "session_id": 8595, "sequence_id": 945, "annotations": []}
{"role": "student", "content": "OK", "session_id": 8595, "sequence_id": 946, "annotations": []}
{"role": "volunteer", "content": "Well, one little trick, one little trick here is", "session_id": 8595, "sequence_id": 947, "annotations": []}
{"role": "volunteer", "content": "that if we look at the side view of um", "session_id": 8595, "sequence_id": 948, "annotations": []}
{"role": "volunteer", "content": "give me a minute here to kind of work this out.", "session_id": 8595, "sequence_id": 949, "annotations": []}
{"role": "volunteer", "content": "But if we looked at the side view", "session_id": 8595, "sequence_id": 950, "annotations": []}
{"role": "volunteer", "content": "we know at the top", "session_id": 8595, "sequence_id": 951, "annotations": []}
{"role": "volunteer", "content": "it's got a radius of", "session_id": 8595, "sequence_id": 952, "annotations": []}
{"role": "volunteer", "content": "1 ft", "session_id": 8595, "sequence_id": 953, "annotations": []}
{"role": "volunteer", "content": "When the height is", "session_id": 8595, "sequence_id": 954, "annotations": []}
{"role": "volunteer", "content": "2 ft", "session_id": 8595, "sequence_id": 955, "annotations": []}
{"role": "volunteer", "content": "but when", "session_id": 8595, "sequence_id": 956, "annotations": []}
{"role": "volunteer", "content": "we're at any other time", "session_id": 8595, "sequence_id": 957, "annotations": []}
{"role": "volunteer", "content": "uh", "session_id": 8595, "sequence_id": 958, "annotations": []}
{"role": "volunteer", "content": "or height", "session_id": 8595, "sequence_id": 959, "annotations": []}
{"role": "volunteer", "content": "it's going to be different, and there's a relationship between", "session_id": 8595, "sequence_id": 960, "annotations": []}
{"role": "volunteer", "content": "the height and the radius.", "session_id": 8595, "sequence_id": 961, "annotations": []}
{"role": "volunteer", "content": "And once we get that, we'll have, we'll be able to solve this problem.", "session_id": 8595, "sequence_id": 962, "annotations": []}
{"role": "volunteer", "content": "because again, the radius is changing", "session_id": 8595, "sequence_id": 963, "annotations": []}
{"role": "volunteer", "content": "and", "session_id": 8595, "sequence_id": 964, "annotations": []}
{"role": "volunteer", "content": "what we can say is", "session_id": 8595, "sequence_id": 965, "annotations": []}
{"role": "volunteer", "content": "1/2", "session_id": 8595, "sequence_id": 966, "annotations": []}
{"role": "volunteer", "content": "is equal to", "session_id": 8595, "sequence_id": 967, "annotations": []}
{"role": "volunteer", "content": "R over H", "session_id": 8595, "sequence_id": 968, "annotations": []}
{"role": "volunteer", "content": "I'm gonna write this down right here.", "session_id": 8595, "sequence_id": 969, "annotations": []}
{"role": "volunteer", "content": "You'll kind of see what I'm talking about.", "session_id": 8595, "sequence_id": 970, "annotations": []}
{"role": "volunteer", "content": "So if I, I'm not gonna destroy your nice drawing, but", "session_id": 8595, "sequence_id": 971, "annotations": []}
{"role": "volunteer", "content": "if I have a side view,", "session_id": 8595, "sequence_id": 972, "annotations": []}
{"role": "volunteer", "content": "of this cone", "session_id": 8595, "sequence_id": 973, "annotations": []}
{"role": "volunteer", "content": "we know that the radios up the top is one.", "session_id": 8595, "sequence_id": 974, "annotations": []}
{"role": "volunteer", "content": "when the height is", "session_id": 8595, "sequence_id": 975, "annotations": []}
{"role": "volunteer", "content": "2", "session_id": 8595, "sequence_id": 976, "annotations": []}
{"role": "volunteer", "content": "But when we're at another", "session_id": 8595, "sequence_id": 977, "annotations": []}
{"role": "volunteer", "content": "height,", "session_id": 8595, "sequence_id": 978, "annotations": []}
{"role": "volunteer", "content": "the radius is something else.", "session_id": 8595, "sequence_id": 979, "annotations": []}
{"role": "volunteer", "content": "when the height is", "session_id": 8595, "sequence_id": 980, "annotations": []}
{"role": "volunteer", "content": "say 1.5", "session_id": 8595, "sequence_id": 981, "annotations": []}
{"role": "student", "content": "Mhm", "session_id": 8595, "sequence_id": 982, "annotations": []}
{"role": "volunteer", "content": "So it's a little bit of a proportion.", "session_id": 8595, "sequence_id": 983, "annotations": []}
{"role": "volunteer", "content": "Um.", "session_id": 8595, "sequence_id": 984, "annotations": []}
{"role": "volunteer", "content": "the radius to the height is always R over H and because", "session_id": 8595, "sequence_id": 985, "annotations": []}
{"role": "volunteer", "content": "we have", "session_id": 8595, "sequence_id": 986, "annotations": []}
{"role": "volunteer", "content": "kind of similar triangles working out. We can always say that the radius to the height", "session_id": 8595, "sequence_id": 987, "annotations": []}
{"role": "volunteer", "content": "will always be 1/2.", "session_id": 8595, "sequence_id": 988, "annotations": []}
{"role": "student", "content": "You said the radius would always be 1/2.", "session_id": 8595, "sequence_id": 989, "annotations": []}
{"role": "volunteer", "content": "The radius to the height, the ratio of the radius to the height will always be 1/2.", "session_id": 8595, "sequence_id": 990, "annotations": []}
{"role": "volunteer", "content": "So if you look at the, if you look at the big triangle", "session_id": 8595, "sequence_id": 991, "annotations": []}
{"role": "student", "content": "Mhm", "session_id": 8595, "sequence_id": 992, "annotations": []}
{"role": "volunteer", "content": "or the, the big triangle, the whole cone looked at from the side.", "session_id": 8595, "sequence_id": 993, "annotations": []}
{"role": "student", "content": "Mm", "session_id": 8595, "sequence_id": 994, "annotations": []}
{"role": "volunteer", "content": "We know that the radius is one", "session_id": 8595, "sequence_id": 995, "annotations": []}
{"role": "volunteer", "content": "over the height is 2.", "session_id": 8595, "sequence_id": 996, "annotations": []}
{"role": "volunteer", "content": "If you look at", "session_id": 8595, "sequence_id": 997, "annotations": []}
{"role": "student", "content": "Mm", "session_id": 8595, "sequence_id": 998, "annotations": []}
{"role": "volunteer", "content": "when the water's lower, the radius is going to be something else.", "session_id": 8595, "sequence_id": 999, "annotations": []}
{"role": "student", "content": "Mhm.", "session_id": 8595, "sequence_id": 1000, "annotations": []}
{"role": "volunteer", "content": "and the height is gonna be something else, but they're always", "session_id": 8595, "sequence_id": 1001, "annotations": []}
{"role": "volunteer", "content": "they're always gonna be in proportion of 1 to 2, because they're corresponding parts of similar triangles.", "session_id": 8595, "sequence_id": 1002, "annotations": []}
{"role": "volunteer", "content": "Do you see what I'm saying", "session_id": 8595, "sequence_id": 1003, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 8595, "sequence_id": 1004, "annotations": []}
{"role": "volunteer", "content": "So, if you look at, look at the whole big triangle, which is the cone looked at from the side.", "session_id": 8595, "sequence_id": 1005, "annotations": []}
{"role": "volunteer", "content": "The radius is one and the height is 2.", "session_id": 8595, "sequence_id": 1006, "annotations": []}
{"role": "volunteer", "content": "When we look at", "session_id": 8595, "sequence_id": 1007, "annotations": []}
{"role": "volunteer", "content": "when the water's lower", "session_id": 8595, "sequence_id": 1008, "annotations": []}
{"role": "volunteer", "content": "the radius is gonna be something smaller, and the height's gonna be something smaller, but they'll be in proportion of 1 to 2 because they're", "session_id": 8595, "sequence_id": 1009, "annotations": []}
{"role": "volunteer", "content": "it's a similar triangle to the one that's", "session_id": 8595, "sequence_id": 1010, "annotations": []}
{"role": "volunteer", "content": "the big one", "session_id": 8595, "sequence_id": 1011, "annotations": []}
{"role": "student", "content": "OK", "session_id": 8595, "sequence_id": 1012, "annotations": []}
{"role": "volunteer", "content": "Do you kind of see what I'm saying", "session_id": 8595, "sequence_id": 1013, "annotations": []}
{"role": "student", "content": "Yup", "session_id": 8595, "sequence_id": 1014, "annotations": []}
{"role": "volunteer", "content": "So if you believe in your geometry, which you", "session_id": 8595, "sequence_id": 1015, "annotations": []}
{"role": "volunteer", "content": "I'm sure you had at some point. We know that corresponding parts of similar triangles are in proportion.", "session_id": 8595, "sequence_id": 1016, "annotations": []}
{"role": "volunteer", "content": "So", "session_id": 8595, "sequence_id": 1017, "annotations": []}
{"role": "volunteer", "content": "because we look looking at the side, we can see that", "session_id": 8595, "sequence_id": 1018, "annotations": []}
{"role": "volunteer", "content": "the small triangle when the water is lower", "session_id": 8595, "sequence_id": 1019, "annotations": []}
{"role": "volunteer", "content": "is a similar triangle to the big", "session_id": 8595, "sequence_id": 1020, "annotations": []}
{"role": "volunteer", "content": "cones", "session_id": 8595, "sequence_id": 1021, "annotations": []}
{"role": "volunteer", "content": "triangle, the, the when it's filled up with water, and the ROH will always be 1/2 in this case.", "session_id": 8595, "sequence_id": 1022, "annotations": []}
{"role": "student", "content": "Mm", "session_id": 8595, "sequence_id": 1023, "annotations": []}
{"role": "volunteer", "content": "So that is the trick to making beer this whole thing work because if we didn't know how the radius changed.", "session_id": 8595, "sequence_id": 1024, "annotations": []}
{"role": "volunteer", "content": "with respect to the height, we'd be missing a critical bit of information.", "session_id": 8595, "sequence_id": 1025, "annotations": []}
{"role": "volunteer", "content": "So what we really want to do", "session_id": 8595, "sequence_id": 1026, "annotations": []}
{"role": "volunteer", "content": "just bear with me a little bit more here before we, we're ready to solve this.", "session_id": 8595, "sequence_id": 1027, "annotations": []}
{"role": "volunteer", "content": "We can solve for our", "session_id": 8595, "sequence_id": 1028, "annotations": []}
{"role": "student", "content": "I think ours is like 14.", "session_id": 8595, "sequence_id": 1029, "annotations": []}
{"role": "volunteer", "content": "so 2R", "session_id": 8595, "sequence_id": 1030, "annotations": []}
{"role": "student", "content": "1/4", "session_id": 8595, "sequence_id": 1031, "annotations": []}
{"role": "volunteer", "content": "hold on a sec. 2 R equals H.", "session_id": 8595, "sequence_id": 1032, "annotations": []}
{"role": "volunteer", "content": "So an R is", "session_id": 8595, "sequence_id": 1033, "annotations": []}
{"role": "volunteer", "content": "H over 2, right? Oh, we don't want to sour our, we want to sulfur H, so.", "session_id": 8595, "sequence_id": 1034, "annotations": []}
{"role": "student", "content": "Yeah, 1 is over 8", "session_id": 8595, "sequence_id": 1035, "annotations": []}
{"role": "volunteer", "content": "So H is 2R.", "session_id": 8595, "sequence_id": 1036, "annotations": []}
{"role": "volunteer", "content": "The height is always 2 times the radius.", "session_id": 8595, "sequence_id": 1037, "annotations": []}
{"role": "volunteer", "content": "but R is alwaysh over 2 as well.", "session_id": 8595, "sequence_id": 1038, "annotations": []}
{"role": "volunteer", "content": "So if we substitute H over 2 into our formula for volume.", "session_id": 8595, "sequence_id": 1039, "annotations": []}
{"role": "volunteer", "content": "You're right, you", "session_id": 8595, "sequence_id": 1040, "annotations": []}
{"role": "volunteer", "content": "will get one, like a 1/4th factor. So what we wanna do is we want to take H over 2 and plug it in for RR.", "session_id": 8595, "sequence_id": 1041, "annotations": []}
{"role": "volunteer", "content": "So we get volume equals 1/3", "session_id": 8595, "sequence_id": 1042, "annotations": []}
{"role": "volunteer", "content": "I.", "session_id": 8595, "sequence_id": 1043, "annotations": []}
{"role": "volunteer", "content": "H/2^2 will be H^2 over 4, right?", "session_id": 8595, "sequence_id": 1044, "annotations": []}
{"role": "student", "content": "I think before like plugging stuff in, we need to like differentiate it and then we can plug it in at the end.", "session_id": 8595, "sequence_id": 1045, "annotations": []}
{"role": "volunteer", "content": "Um", "session_id": 8595, "sequence_id": 1046, "annotations": []}
{"role": "volunteer", "content": "well, you only want to differentiate with respect to 1 to 1 variable. You don't want to have two of them like R and H, OK?", "session_id": 8595, "sequence_id": 1047, "annotations": []}
{"role": "volunteer", "content": "You", "session_id": 8595, "sequence_id": 1048, "annotations": []}
{"role": "student", "content": "OK", "session_id": 8595, "sequence_id": 1049, "annotations": []}
{"role": "volunteer", "content": "you see what I'm saying", "session_id": 8595, "sequence_id": 1050, "annotations": []}
{"role": "volunteer", "content": "I'm gonna let you write this out cause I'm not doing very well", "session_id": 8595, "sequence_id": 1051, "annotations": []}
{"role": "volunteer", "content": "So what I would", "session_id": 8595, "sequence_id": 1052, "annotations": []}
{"role": "student", "content": "Mm.", "session_id": 8595, "sequence_id": 1053, "annotations": []}
{"role": "volunteer", "content": "what I would like if you would do for us and then you can", "session_id": 8595, "sequence_id": 1054, "annotations": []}
{"role": "volunteer", "content": "continue and finish the problem, which won't be too bad.", "session_id": 8595, "sequence_id": 1055, "annotations": []}
{"role": "volunteer", "content": "is what we want to do is we want to say,", "session_id": 8595, "sequence_id": 1056, "annotations": []}
{"role": "volunteer", "content": "V equals 1/3 pi R2H, but instead of R, we want to put H over 2 in there.", "session_id": 8595, "sequence_id": 1057, "annotations": []}
{"role": "student", "content": "Well, you said to do what, like B equals 1/3 pi.", "session_id": 8595, "sequence_id": 1058, "annotations": []}
{"role": "volunteer", "content": "So", "session_id": 8595, "sequence_id": 1059, "annotations": []}
{"role": "student", "content": "instead of R, we put", "session_id": 8595, "sequence_id": 1060, "annotations": []}
{"role": "volunteer", "content": "H instead of", "session_id": 8595, "sequence_id": 1061, "annotations": []}
{"role": "volunteer", "content": "So if you could write that out, that would be great.", "session_id": 8595, "sequence_id": 1062, "annotations": []}
{"role": "student", "content": "Mhm.", "session_id": 8595, "sequence_id": 1063, "annotations": []}
{"role": "volunteer", "content": "just below my stuff or whatever.", "session_id": 8595, "sequence_id": 1064, "annotations": []}
{"role": "student", "content": "So", "session_id": 8595, "sequence_id": 1065, "annotations": []}
{"role": "student", "content": "I", "session_id": 8595, "sequence_id": 1066, "annotations": []}
{"role": "student", "content": "I", "session_id": 8595, "sequence_id": 1067, "annotations": []}
{"role": "student", "content": "I", "session_id": 8595, "sequence_id": 1068, "annotations": []}
{"role": "student", "content": "We was the age over 2.", "session_id": 8595, "sequence_id": 1069, "annotations": []}
{"role": "volunteer", "content": "OK, let's get back to the side view of the cone.", "session_id": 8595, "sequence_id": 1070, "annotations": []}
{"role": "volunteer", "content": "So,", "session_id": 8595, "sequence_id": 1071, "annotations": []}
{"role": "student", "content": "I thought it would be 1/4.", "session_id": 8595, "sequence_id": 1072, "annotations": []}
{"role": "student", "content": "with R", "session_id": 8595, "sequence_id": 1073, "annotations": []}
{"role": "volunteer", "content": "well, it will, you put an, OK.", "session_id": 8595, "sequence_id": 1074, "annotations": []}
{"role": "volunteer", "content": "if you put", "session_id": 8595, "sequence_id": 1075, "annotations": []}
{"role": "volunteer", "content": "we saw, we saw that there are similar triangles", "session_id": 8595, "sequence_id": 1076, "annotations": []}
{"role": "student", "content": "Mhm", "session_id": 8595, "sequence_id": 1077, "annotations": []}
{"role": "volunteer", "content": "The radius to the height will always be 1/2.", "session_id": 8595, "sequence_id": 1078, "annotations": []}
{"role": "volunteer", "content": "right?", "session_id": 8595, "sequence_id": 1079, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 8595, "sequence_id": 1080, "annotations": []}
{"role": "volunteer", "content": "Therefore", "session_id": 8595, "sequence_id": 1081, "annotations": []}
{"role": "volunteer", "content": "the radius is always half of the height.", "session_id": 8595, "sequence_id": 1082, "annotations": []}
{"role": "student", "content": "Mhm", "session_id": 8595, "sequence_id": 1083, "annotations": []}
{"role": "volunteer", "content": "So just plug in H/2 for R", "session_id": 8595, "sequence_id": 1084, "annotations": []}
{"role": "volunteer", "content": "So instead of 1/3 pie, you got 1/3 pie", "session_id": 8595, "sequence_id": 1085, "annotations": []}
{"role": "volunteer", "content": "Now, x will be", "session_id": 8595, "sequence_id": 1086, "annotations": []}
{"role": "volunteer", "content": "R^2 over 4.", "session_id": 8595, "sequence_id": 1087, "annotations": []}
{"role": "volunteer", "content": "So the next thing after your pie, put in parentheses 82/4.", "session_id": 8595, "sequence_id": 1088, "annotations": []}
{"role": "volunteer", "content": "Yeah, but we", "session_id": 8595, "sequence_id": 1089, "annotations": []}
{"role": "student", "content": "So we don't wanna plug for HA? Is that what you're saying? Cause we already know what H is. We're trying to find age at 15.", "session_id": 8595, "sequence_id": 1090, "annotations": []}
{"role": "volunteer", "content": "yes, I understand, but we need to get the right, we need to get volume as a function of height so that we can differentiate", "session_id": 8595, "sequence_id": 1091, "annotations": []}
{"role": "volunteer", "content": "If we don't plug in for R right now.", "session_id": 8595, "sequence_id": 1092, "annotations": []}
{"role": "volunteer", "content": "So r over 2 square.", "session_id": 8595, "sequence_id": 1093, "annotations": []}
{"role": "volunteer", "content": "right? Just put a little square good, and now put", "session_id": 8595, "sequence_id": 1094, "annotations": []}
{"role": "volunteer", "content": "H again", "session_id": 8595, "sequence_id": 1095, "annotations": []}
{"role": "volunteer", "content": "after that", "session_id": 8595, "sequence_id": 1096, "annotations": []}
{"role": "volunteer", "content": "Now, stop right there because that's beautiful.", "session_id": 8595, "sequence_id": 1097, "annotations": []}
{"role": "volunteer", "content": "We're saying that the volume", "session_id": 8595, "sequence_id": 1098, "annotations": []}
{"role": "volunteer", "content": "in this particular instance is as a function of height, and we can simplify this a little bit, but it's 1/3 pie, R2H.", "session_id": 8595, "sequence_id": 1099, "annotations": []}
{"role": "volunteer", "content": "But we now have everything in terms of age rather than R If we try to differentiate before we do this,", "session_id": 8595, "sequence_id": 1100, "annotations": []}
{"role": "volunteer", "content": "we won't, we'll have a much more complicated problem.", "session_id": 8595, "sequence_id": 1101, "annotations": []}
{"role": "volunteer", "content": "because we'll have several variables. We're only interested in volume as a function of height, not as a function of the radius.", "session_id": 8595, "sequence_id": 1102, "annotations": []}
{"role": "volunteer", "content": "Am I making sense there", "session_id": 8595, "sequence_id": 1103, "annotations": []}
{"role": "student", "content": "Yeah.", "session_id": 8595, "sequence_id": 1104, "annotations": []}
{"role": "volunteer", "content": "So let's simplify that. Why don't you go ahead and write it as B equals 1/3.", "session_id": 8595, "sequence_id": 1105, "annotations": []}
{"role": "volunteer", "content": "high", "session_id": 8595, "sequence_id": 1106, "annotations": []}
{"role": "volunteer", "content": "below there, just write V equals 1/3 pi.", "session_id": 8595, "sequence_id": 1107, "annotations": []}
{"role": "student", "content": "Mhm", "session_id": 8595, "sequence_id": 1108, "annotations": []}
{"role": "volunteer", "content": "and we'll have H cubed", "session_id": 8595, "sequence_id": 1109, "annotations": []}
{"role": "volunteer", "content": "over 4", "session_id": 8595, "sequence_id": 1110, "annotations": []}
{"role": "volunteer", "content": "and we can really say that and just put another set of equal signs.", "session_id": 8595, "sequence_id": 1111, "annotations": []}
{"role": "volunteer", "content": "equals", "session_id": 8595, "sequence_id": 1112, "annotations": []}
{"role": "volunteer", "content": "high over 12", "session_id": 8595, "sequence_id": 1113, "annotations": []}
{"role": "volunteer", "content": "H cubed", "session_id": 8595, "sequence_id": 1114, "annotations": []}
{"role": "volunteer", "content": "So", "session_id": 8595, "sequence_id": 1115, "annotations": []}
{"role": "student", "content": "Pytol", "session_id": 8595, "sequence_id": 1116, "annotations": []}
{"role": "volunteer", "content": "by over 12", "session_id": 8595, "sequence_id": 1117, "annotations": []}
{"role": "volunteer", "content": "HQ", "session_id": 8595, "sequence_id": 1118, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 8595, "sequence_id": 1119, "annotations": []}
{"role": "volunteer", "content": "Now", "session_id": 8595, "sequence_id": 1120, "annotations": []}
{"role": "volunteer", "content": "I, I know that was a lot to go through, but if you followed it,", "session_id": 8595, "sequence_id": 1121, "annotations": []}
{"role": "volunteer", "content": "you now have V as a function of H only, as opposed to RNH, OK?", "session_id": 8595, "sequence_id": 1122, "annotations": []}
{"role": "student", "content": "Mm", "session_id": 8595, "sequence_id": 1123, "annotations": []}
{"role": "volunteer", "content": "If we try, if we try to do it with the R in there", "session_id": 8595, "sequence_id": 1124, "annotations": []}
{"role": "volunteer", "content": "we would be", "session_id": 8595, "sequence_id": 1125, "annotations": []}
{"role": "volunteer", "content": "unable to solve the problem", "session_id": 8595, "sequence_id": 1126, "annotations": []}
{"role": "volunteer", "content": "All right.", "session_id": 8595, "sequence_id": 1127, "annotations": []}
{"role": "volunteer", "content": "So getting back to the", "session_id": 8595, "sequence_id": 1128, "annotations": []}
{"role": "volunteer", "content": "now we can go ahead and start differentiating", "session_id": 8595, "sequence_id": 1129, "annotations": []}
{"role": "volunteer", "content": "We can take DVDT, right?", "session_id": 8595, "sequence_id": 1130, "annotations": []}
{"role": "student", "content": "OK", "session_id": 8595, "sequence_id": 1131, "annotations": []}
{"role": "volunteer", "content": "I'm glad I've got somebody who can", "session_id": 8595, "sequence_id": 1132, "annotations": []}
{"role": "volunteer", "content": "use the board.", "session_id": 8595, "sequence_id": 1133, "annotations": []}
{"role": "volunteer", "content": "So", "session_id": 8595, "sequence_id": 1134, "annotations": []}
{"role": "student", "content": "Mhm", "session_id": 8595, "sequence_id": 1135, "annotations": []}
{"role": "volunteer", "content": "what will we get when we differentiate H with respect to T.", "session_id": 8595, "sequence_id": 1136, "annotations": []}
{"role": "student", "content": "OK", "session_id": 8595, "sequence_id": 1137, "annotations": []}
{"role": "student", "content": "Um", "session_id": 8595, "sequence_id": 1138, "annotations": []}
{"role": "student", "content": "3 pie H^2.", "session_id": 8595, "sequence_id": 1139, "annotations": []}
{"role": "volunteer", "content": "Good.", "session_id": 8595, "sequence_id": 1140, "annotations": []}
{"role": "student", "content": "DHDT.", "session_id": 8595, "sequence_id": 1141, "annotations": []}
{"role": "volunteer", "content": "DHDT", "session_id": 8595, "sequence_id": 1142, "annotations": []}
{"role": "student", "content": "8", "session_id": 8595, "sequence_id": 1143, "annotations": []}
{"role": "volunteer", "content": "Does that make sense to you", "session_id": 8595, "sequence_id": 1144, "annotations": []}
{"role": "student", "content": "Yup", "session_id": 8595, "sequence_id": 1145, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 8595, "sequence_id": 1146, "annotations": []}
{"role": "volunteer", "content": "Now", "session_id": 8595, "sequence_id": 1147, "annotations": []}
{"role": "volunteer", "content": "we know that we were given DVDT.", "session_id": 8595, "sequence_id": 1148, "annotations": []}
{"role": "volunteer", "content": "I forgot what it is, what was it?", "session_id": 8595, "sequence_id": 1149, "annotations": []}
{"role": "volunteer", "content": "Point", "session_id": 8595, "sequence_id": 1150, "annotations": []}
{"role": "student", "content": "Uh 0.03 ft.", "session_id": 8595, "sequence_id": 1151, "annotations": []}
{"role": "volunteer", "content": "Yeah, let's, let's right below that -0.03", "session_id": 8595, "sequence_id": 1152, "annotations": []}
{"role": "volunteer", "content": "for DVVT", "session_id": 8595, "sequence_id": 1153, "annotations": []}
{"role": "volunteer", "content": "equals 1", "session_id": 8595, "sequence_id": 1154, "annotations": []}
{"role": "volunteer", "content": "we can say 1/4 pie.", "session_id": 8595, "sequence_id": 1155, "annotations": []}
{"role": "volunteer", "content": "312 would be 14 5.", "session_id": 8595, "sequence_id": 1156, "annotations": []}
{"role": "volunteer", "content": "before, whichever way one.", "session_id": 8595, "sequence_id": 1157, "annotations": []}
{"role": "volunteer", "content": "Good.", "session_id": 8595, "sequence_id": 1158, "annotations": []}
{"role": "volunteer", "content": "H^2 DHDT", "session_id": 8595, "sequence_id": 1159, "annotations": []}
{"role": "student", "content": "But can we just not substitute already.", "session_id": 8595, "sequence_id": 1160, "annotations": []}
{"role": "volunteer", "content": "Well, I", "session_id": 8595, "sequence_id": 1161, "annotations": []}
{"role": "volunteer", "content": "I", "session_id": 8595, "sequence_id": 1162, "annotations": []}
{"role": "volunteer", "content": "um I don't know, I don't, I don't know about that.", "session_id": 8595, "sequence_id": 1163, "annotations": []}
{"role": "volunteer", "content": "but", "session_id": 8595, "sequence_id": 1164, "annotations": []}
{"role": "student", "content": "Oh, OK", "session_id": 8595, "sequence_id": 1165, "annotations": []}
{"role": "volunteer", "content": "you can't, you, yeah, you can, so that, that's one, it was one half, right?", "session_id": 8595, "sequence_id": 1166, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 8595, "sequence_id": 1167, "annotations": []}
{"role": "volunteer", "content": "They", "session_id": 8595, "sequence_id": 1168, "annotations": []}
{"role": "volunteer", "content": "So you go ahead and put 1/2 squared, right?", "session_id": 8595, "sequence_id": 1169, "annotations": []}
{"role": "student", "content": "Yup", "session_id": 8595, "sequence_id": 1170, "annotations": []}
{"role": "volunteer", "content": "OK, beautiful", "session_id": 8595, "sequence_id": 1171, "annotations": []}
{"role": "volunteer", "content": "So square", "session_id": 8595, "sequence_id": 1172, "annotations": []}
{"role": "volunteer", "content": "and then DHDT, right?", "session_id": 8595, "sequence_id": 1173, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 8595, "sequence_id": 1174, "annotations": []}
{"role": "volunteer", "content": "Beautiful.", "session_id": 8595, "sequence_id": 1175, "annotations": []}
{"role": "volunteer", "content": "All right, let's", "session_id": 8595, "sequence_id": 1176, "annotations": []}
{"role": "volunteer", "content": "let's solve, uh, simplify a little bit more, so negative point.0.", "session_id": 8595, "sequence_id": 1177, "annotations": []}
{"role": "volunteer", "content": "0.", "session_id": 8595, "sequence_id": 1178, "annotations": []}
{"role": "volunteer", "content": "03 equals", "session_id": 8595, "sequence_id": 1179, "annotations": []}
{"role": "volunteer", "content": "looks like pie over", "session_id": 8595, "sequence_id": 1180, "annotations": []}
{"role": "volunteer", "content": "16", "session_id": 8595, "sequence_id": 1181, "annotations": []}
{"role": "volunteer", "content": "(1/4)H^2, right", "session_id": 8595, "sequence_id": 1182, "annotations": []}
{"role": "volunteer", "content": "Time DHDT", "session_id": 8595, "sequence_id": 1183, "annotations": []}
{"role": "student", "content": "Mhm", "session_id": 8595, "sequence_id": 1184, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 8595, "sequence_id": 1185, "annotations": []}
{"role": "volunteer", "content": "we should be able", "session_id": 8595, "sequence_id": 1186, "annotations": []}
{"role": "volunteer", "content": "we're asked to find, we're asked to find DHDT. So,", "session_id": 8595, "sequence_id": 1187, "annotations": []}
{"role": "volunteer", "content": "let me go", "session_id": 8595, "sequence_id": 1188, "annotations": []}
{"role": "student", "content": "So we divide the pyro", "session_id": 8595, "sequence_id": 1189, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 8595, "sequence_id": 1190, "annotations": []}
{"role": "student", "content": "Actually we're multiply 16 over pi.", "session_id": 8595, "sequence_id": 1191, "annotations": []}
{"role": "volunteer", "content": "right", "session_id": 8595, "sequence_id": 1192, "annotations": []}
{"role": "student", "content": "to both sides", "session_id": 8595, "sequence_id": 1193, "annotations": []}
{"role": "volunteer", "content": "exactly right. I'll go ahead and do it on my calculator. You might want to go ahead and do it whatever way you wanna.", "session_id": 8595, "sequence_id": 1194, "annotations": []}
{"role": "student", "content": "OK", "session_id": 8595, "sequence_id": 1195, "annotations": []}
{"role": "volunteer", "content": "and 0", "session_id": 8595, "sequence_id": 1196, "annotations": []}
{"role": "volunteer", "content": "OK, I got an answer. Let's see if we get the same.", "session_id": 8595, "sequence_id": 1197, "annotations": []}
{"role": "student", "content": "I don't think we need to plug for pie.", "session_id": 8595, "sequence_id": 1198, "annotations": []}
{"role": "volunteer", "content": "OK, um, you can do that or not. I did plug it for pie and I got", "session_id": 8595, "sequence_id": 1199, "annotations": []}
{"role": "volunteer", "content": "negative 0.15", "session_id": 8595, "sequence_id": 1200, "annotations": []}
{"role": "volunteer", "content": "2728", "session_id": 8595, "sequence_id": 1201, "annotations": []}
{"role": "volunteer", "content": "but depending on what your answer key shows, um.", "session_id": 8595, "sequence_id": 1202, "annotations": []}
{"role": "student", "content": "Yeah, the answer key uh shows -0.48 over pi and it shows equals -0.153 ft per second.", "session_id": 8595, "sequence_id": 1203, "annotations": []}
{"role": "volunteer", "content": "that's exactly the same thing I got.", "session_id": 8595, "sequence_id": 1204, "annotations": []}
{"role": "volunteer", "content": "Awesome", "session_id": 8595, "sequence_id": 1205, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 8595, "sequence_id": 1206, "annotations": []}
{"role": "volunteer", "content": "Awesome, awesome, awesome", "session_id": 8595, "sequence_id": 1207, "annotations": []}
{"role": "volunteer", "content": "Very nice job", "session_id": 8595, "sequence_id": 1208, "annotations": []}
{"role": "student", "content": "Right", "session_id": 8595, "sequence_id": 1209, "annotations": []}
{"role": "volunteer", "content": "So", "session_id": 8595, "sequence_id": 1210, "annotations": []}
{"role": "volunteer", "content": "you might say", "session_id": 8595, "sequence_id": 1211, "annotations": []}
{"role": "volunteer", "content": "you know, the, the I, the only reason I know", "session_id": 8595, "sequence_id": 1212, "annotations": []}
{"role": "volunteer", "content": "that I had to get rid of the R", "session_id": 8595, "sequence_id": 1213, "annotations": []}
{"role": "volunteer", "content": "is because of experience.", "session_id": 8595, "sequence_id": 1214, "annotations": []}
{"role": "volunteer", "content": "So there's always a little trick to these problems.", "session_id": 8595, "sequence_id": 1215, "annotations": []}
{"role": "volunteer", "content": "In this case, it's similar triangles.", "session_id": 8595, "sequence_id": 1216, "annotations": []}
{"role": "volunteer", "content": "where you're trying to", "session_id": 8595, "sequence_id": 1217, "annotations": []}
{"role": "volunteer", "content": "get rid of the R variable so that you just have things in terms of age.", "session_id": 8595, "sequence_id": 1218, "annotations": []}
{"role": "student", "content": "Mhm", "session_id": 8595, "sequence_id": 1219, "annotations": []}
{"role": "volunteer", "content": "but it's not really", "session_id": 8595, "sequence_id": 1220, "annotations": []}
{"role": "volunteer", "content": "necessarily gonna come always without experiencing the, you know, these problems.", "session_id": 8595, "sequence_id": 1221, "annotations": []}
{"role": "volunteer", "content": "just working them. That's like the tangent of the angle when we did on the last problem.", "session_id": 8595, "sequence_id": 1222, "annotations": []}
{"role": "volunteer", "content": "You know, you're only gonna know to do that after you work a few and you say, oh yeah.", "session_id": 8595, "sequence_id": 1223, "annotations": []}
{"role": "volunteer", "content": "but", "session_id": 8595, "sequence_id": 1224, "annotations": []}
{"role": "volunteer", "content": "anyhow", "session_id": 8595, "sequence_id": 1225, "annotations": []}
{"role": "student", "content": "OK, I had a question about like the units cause we definitely have to put you in my gift points up. And the last one, it was Radiance per second, but like on the", "session_id": 8595, "sequence_id": 1226, "annotations": []}
{"role": "volunteer", "content": "Yes.", "session_id": 8595, "sequence_id": 1227, "annotations": []}
{"role": "student", "content": "on the problem, there was nothing like that said that ever said radiance. So does that mean that for every trach functions like we use like the answer always have like radius for like seconds, minutes, whatever.", "session_id": 8595, "sequence_id": 1228, "annotations": []}
{"role": "student", "content": "OK", "session_id": 8595, "sequence_id": 1229, "annotations": []}
{"role": "volunteer", "content": "So when you're dealing with angles", "session_id": 8595, "sequence_id": 1230, "annotations": []}
{"role": "volunteer", "content": "and you're dealing in calculus.", "session_id": 8595, "sequence_id": 1231, "annotations": []}
{"role": "student", "content": "OK", "session_id": 8595, "sequence_id": 1232, "annotations": []}
{"role": "volunteer", "content": "Radiance is a sort of a natural unit of measure.", "session_id": 8595, "sequence_id": 1233, "annotations": []}
{"role": "student", "content": "OK", "session_id": 8595, "sequence_id": 1234, "annotations": []}
{"role": "volunteer", "content": "that", "session_id": 8595, "sequence_id": 1235, "annotations": []}
{"role": "volunteer", "content": "is used, degrees do not mean anything in this, in this world.", "session_id": 8595, "sequence_id": 1236, "annotations": []}
{"role": "volunteer", "content": "So whenever you're, you're solving for something defeta ET or, you know, just solving for an angle, and you get number, it's always gonna be in radiance.", "session_id": 8595, "sequence_id": 1237, "annotations": []}
{"role": "volunteer", "content": "It's sort of the natural", "session_id": 8595, "sequence_id": 1238, "annotations": []}
{"role": "volunteer", "content": "measure of an angle", "session_id": 8595, "sequence_id": 1239, "annotations": []}
{"role": "volunteer", "content": "Um", "session_id": 8595, "sequence_id": 1240, "annotations": []}
{"role": "volunteer", "content": "so", "session_id": 8595, "sequence_id": 1241, "annotations": []}
{"role": "volunteer", "content": "yeah, it'll always be, when you do get answers, you should plug in pi and you could always get answers in radios and", "session_id": 8595, "sequence_id": 1242, "annotations": []}
{"role": "volunteer", "content": "degrees do not", "session_id": 8595, "sequence_id": 1243, "annotations": []}
{"role": "volunteer", "content": "ever come into play really, unless you're just converting from one to the other to give it in, in that", "session_id": 8595, "sequence_id": 1244, "annotations": []}
{"role": "volunteer", "content": "angle.", "session_id": 8595, "sequence_id": 1245, "annotations": []}
{"role": "volunteer", "content": "measurable like degree measurement.", "session_id": 8595, "sequence_id": 1246, "annotations": []}
{"role": "student", "content": "OK, so do you still have time or you gotta go?", "session_id": 8595, "sequence_id": 1247, "annotations": []}
{"role": "volunteer", "content": "Uh, I got time for a little more.", "session_id": 8595, "sequence_id": 1248, "annotations": []}
{"role": "volunteer", "content": "I, I hope", "session_id": 8595, "sequence_id": 1249, "annotations": []}
{"role": "volunteer", "content": "you know, you're kind of getting", "session_id": 8595, "sequence_id": 1250, "annotations": []}
{"role": "volunteer", "content": "getting the idea. It's really not that difficult, but like I said, there's", "session_id": 8595, "sequence_id": 1251, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 8595, "sequence_id": 1252, "annotations": []}
{"role": "volunteer", "content": "tricks to every one of these, and that's the hard part. Don't know what the trick is.", "session_id": 8595, "sequence_id": 1253, "annotations": []}
{"role": "student", "content": "OK, let me go on to something.", "session_id": 8595, "sequence_id": 1254, "annotations": []}
{"role": "volunteer", "content": "I'm gonna", "session_id": 8595, "sequence_id": 1255, "annotations": []}
{"role": "volunteer", "content": "take a break for a minute and I'll be right back, OK?", "session_id": 8595, "sequence_id": 1256, "annotations": []}
{"role": "student", "content": "Yeah, you can take a break", "session_id": 8595, "sequence_id": 1257, "annotations": []}
{"role": "volunteer", "content": "I'll be back in about 2 minutes.", "session_id": 8595, "sequence_id": 1258, "annotations": []}
{"role": "student", "content": "OK, no problem", "session_id": 8595, "sequence_id": 1259, "annotations": []}
{"role": "volunteer", "content": "OK, I'm back", "session_id": 8595, "sequence_id": 1260, "annotations": []}
{"role": "student", "content": "All right. Can you um delete the board?", "session_id": 8595, "sequence_id": 1261, "annotations": []}
{"role": "volunteer", "content": "Sure", "session_id": 8595, "sequence_id": 1262, "annotations": []}
{"role": "student", "content": "OK, so I found the like cause I told you I already have a big test coming up like give out, um, related rates and um global minimums and maximums and stuff. But um since we're, we're working with like related rates today, I found like a midterm, like a, like a sample.", "session_id": 8595, "sequence_id": 1263, "annotations": []}
{"role": "student", "content": "Uh, so", "session_id": 8595, "sequence_id": 1264, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 8595, "sequence_id": 1265, "annotations": []}
{"role": "student", "content": "but he has like different parts to it. So this is like the first part. It has like the", "session_id": 8595, "sequence_id": 1266, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 8595, "sequence_id": 1267, "annotations": []}
{"role": "student", "content": "question and he has like stuff that we have to go through like questions you have like", "session_id": 8595, "sequence_id": 1268, "annotations": []}
{"role": "student", "content": "letters A to", "session_id": 8595, "sequence_id": 1269, "annotations": []}
{"role": "volunteer", "content": "Go", "session_id": 8595, "sequence_id": 1270, "annotations": []}
{"role": "student", "content": "E. OK, but they're not like a lot, so.", "session_id": 8595, "sequence_id": 1271, "annotations": []}
{"role": "volunteer", "content": "I'm, yeah, I think it, it seems similar.", "session_id": 8595, "sequence_id": 1272, "annotations": []}
{"role": "student", "content": "for the first one to read and I read.", "session_id": 8595, "sequence_id": 1273, "annotations": []}
{"role": "volunteer", "content": "I'm sorry, say again", "session_id": 8595, "sequence_id": 1274, "annotations": []}
{"role": "student", "content": "No, you can go ahead", "session_id": 8595, "sequence_id": 1275, "annotations": []}
{"role": "volunteer", "content": "Anyhow, it's, it's not unlike what we were just doing.", "session_id": 8595, "sequence_id": 1276, "annotations": []}
{"role": "volunteer", "content": "from the looks of it", "session_id": 8595, "sequence_id": 1277, "annotations": []}
{"role": "volunteer", "content": "We're, we're", "session_id": 8595, "sequence_id": 1278, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 8595, "sequence_id": 1279, "annotations": []}
{"role": "volunteer", "content": "it's, it's very similar to the problem we just", "session_id": 8595, "sequence_id": 1280, "annotations": []}
{"role": "volunteer", "content": "did, and they're all kind of have a theme to them.", "session_id": 8595, "sequence_id": 1281, "annotations": []}
{"role": "volunteer", "content": "So let me see what this one says.", "session_id": 8595, "sequence_id": 1282, "annotations": []}
{"role": "volunteer", "content": "Mhm", "session_id": 8595, "sequence_id": 1283, "annotations": []}
{"role": "volunteer", "content": "Right", "session_id": 8595, "sequence_id": 1284, "annotations": []}
{"role": "volunteer", "content": "Right", "session_id": 8595, "sequence_id": 1285, "annotations": []}
{"role": "student", "content": "OK, but on this one, since, uh, I kind of want you to like, I kind of want myself to go through like everything and then uh whenever like I'm make a mistake, then you can be like, oh, that's not correct. Uh, and then if I have a question, I'll just ask you, but I really want to go through all of them.", "session_id": 8595, "sequence_id": 1286, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 8595, "sequence_id": 1287, "annotations": []}
{"role": "volunteer", "content": "Yeah, definitely, uh, definitely.", "session_id": 8595, "sequence_id": 1288, "annotations": []}
{"role": "volunteer", "content": "So, I'm just gonna read the first part here.", "session_id": 8595, "sequence_id": 1289, "annotations": []}
{"role": "student", "content": "Yeah, I'll read it", "session_id": 8595, "sequence_id": 1290, "annotations": []}
{"role": "volunteer", "content": "OK.", "session_id": 8595, "sequence_id": 1291, "annotations": []}
{"role": "volunteer", "content": "I'll read it out loud. The cylinder is changing size in such a way that the volume remains constant 12 pi cubic meters.", "session_id": 8595, "sequence_id": 1292, "annotations": []}
{"role": "volunteer", "content": "Denote the radius of the cylinder by R and the height of the cylinder by H.", "session_id": 8595, "sequence_id": 1293, "annotations": []}
{"role": "volunteer", "content": "and the area of the circle at the top of the cylinder", "session_id": 8595, "sequence_id": 1294, "annotations": []}
{"role": "volunteer", "content": "by", "session_id": 8595, "sequence_id": 1295, "annotations": []}
{"role": "student", "content": "OK", "session_id": 8595, "sequence_id": 1296, "annotations": []}
{"role": "volunteer", "content": "kind of stops there. That's kind of weird.", "session_id": 8595, "sequence_id": 1297, "annotations": []}
{"role": "volunteer", "content": "OK.", "session_id": 8595, "sequence_id": 1298, "annotations": []}
{"role": "volunteer", "content": "by A. OK, I see it.", "session_id": 8595, "sequence_id": 1299, "annotations": []}
{"role": "volunteer", "content": "All right.", "session_id": 8595, "sequence_id": 1300, "annotations": []}
{"role": "volunteer", "content": "So", "session_id": 8595, "sequence_id": 1301, "annotations": []}
{"role": "volunteer", "content": "I'll let you go ahead and", "session_id": 8595, "sequence_id": 1302, "annotations": []}
{"role": "student", "content": "OK", "session_id": 8595, "sequence_id": 1303, "annotations": []}
{"role": "volunteer", "content": "go ahead and uh", "session_id": 8595, "sequence_id": 1304, "annotations": []}
{"role": "volunteer", "content": "start working it", "session_id": 8595, "sequence_id": 1305, "annotations": []}
{"role": "student", "content": "OK, so for letter H, turn this back, it says that uh live with the diagram with the length R and H so draw something on the diagram.", "session_id": 8595, "sequence_id": 1306, "annotations": []}
{"role": "volunteer", "content": "Mhm.", "session_id": 8595, "sequence_id": 1307, "annotations": []}
{"role": "student", "content": "It's kind of small here but", "session_id": 8595, "sequence_id": 1308, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 8595, "sequence_id": 1309, "annotations": []}
{"role": "student", "content": "OK it says RNH do I also have to like add the volume, I mean, the the values or no? Just keep it at that.", "session_id": 8595, "sequence_id": 1310, "annotations": []}
{"role": "volunteer", "content": "Say again, ask that again, please.", "session_id": 8595, "sequence_id": 1311, "annotations": []}
{"role": "student", "content": "So I'm saying like it says labels with links R and H, so doesn't want me to also add the", "session_id": 8595, "sequence_id": 1312, "annotations": []}
{"role": "student", "content": "the, the, the values of the age.", "session_id": 8595, "sequence_id": 1313, "annotations": []}
{"role": "volunteer", "content": "Um, I don't think so.", "session_id": 8595, "sequence_id": 1314, "annotations": []}
{"role": "volunteer", "content": "at this point", "session_id": 8595, "sequence_id": 1315, "annotations": []}
{"role": "student", "content": "Yeah, since you said RNA.", "session_id": 8595, "sequence_id": 1316, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 8595, "sequence_id": 1317, "annotations": []}
{"role": "volunteer", "content": "So you did that just fine, yeah.", "session_id": 8595, "sequence_id": 1318, "annotations": []}
{"role": "student", "content": "OK", "session_id": 8595, "sequence_id": 1319, "annotations": []}
{"role": "student", "content": "OK, I'll just write what we know because it makes it easier. So we know the volume", "session_id": 8595, "sequence_id": 1320, "annotations": []}
{"role": "student", "content": "Oh sure.", "session_id": 8595, "sequence_id": 1321, "annotations": []}
{"role": "student", "content": "By the way, you can stop me whenever I'm doing something wrong.", "session_id": 8595, "sequence_id": 1322, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 8595, "sequence_id": 1323, "annotations": []}
{"role": "volunteer", "content": "So", "session_id": 8595, "sequence_id": 1324, "annotations": []}
{"role": "student", "content": "So", "session_id": 8595, "sequence_id": 1325, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 8595, "sequence_id": 1326, "annotations": []}
{"role": "volunteer", "content": "um", "session_id": 8595, "sequence_id": 1327, "annotations": []}
{"role": "volunteer", "content": "what you're doing is fine, but if you're going down to point B, I", "session_id": 8595, "sequence_id": 1328, "annotations": []}
{"role": "volunteer", "content": "you know, that's what the next step they tell you to do, right? So.", "session_id": 8595, "sequence_id": 1329, "annotations": []}
{"role": "volunteer", "content": "Exactly. That's great", "session_id": 8595, "sequence_id": 1330, "annotations": []}
{"role": "volunteer", "content": "Yup", "session_id": 8595, "sequence_id": 1331, "annotations": []}
{"role": "student", "content": "Yeah, I'm just writing it down so like I have it in my head and I can see I can picture it cause that's what the pro uh it uh the teacher also tells us to do.", "session_id": 8595, "sequence_id": 1332, "annotations": []}
{"role": "volunteer", "content": "Mhm", "session_id": 8595, "sequence_id": 1333, "annotations": []}
{"role": "student", "content": "OK, since I see that we have the like the volume. I'm guessing that for the formula, we're gonna have to find like the.", "session_id": 8595, "sequence_id": 1334, "annotations": []}
{"role": "student", "content": "something um either with the volume or the area cause we're trying to find the", "session_id": 8595, "sequence_id": 1335, "annotations": []}
{"role": "student", "content": "area, but we had the volume, so maybe you need to find like both um formulas and like introduce it, if you get what I'm saying.", "session_id": 8595, "sequence_id": 1336, "annotations": []}
{"role": "volunteer", "content": "Yes", "session_id": 8595, "sequence_id": 1337, "annotations": []}
{"role": "student", "content": "OK, I for I forget what the um formula of the um volume for the cylinders. Is it H times", "session_id": 8595, "sequence_id": 1338, "annotations": []}
{"role": "student", "content": "uh", "session_id": 8595, "sequence_id": 1339, "annotations": []}
{"role": "student", "content": "it's.", "session_id": 8595, "sequence_id": 1340, "annotations": []}
{"role": "student", "content": "pi R", "session_id": 8595, "sequence_id": 1341, "annotations": []}
{"role": "volunteer", "content": "I heard you say it", "session_id": 8595, "sequence_id": 1342, "annotations": []}
{"role": "volunteer", "content": "Yup", "session_id": 8595, "sequence_id": 1343, "annotations": []}
{"role": "student", "content": "2 times age.", "session_id": 8595, "sequence_id": 1344, "annotations": []}
{"role": "volunteer", "content": "So think of it as slight, think of that as a as a piece of cheese around cylindrical piece of cheese.", "session_id": 8595, "sequence_id": 1345, "annotations": []}
{"role": "volunteer", "content": "You, you have cross sections which are circles, right?", "session_id": 8595, "sequence_id": 1346, "annotations": []}
{"role": "student", "content": "Yeah.", "session_id": 8595, "sequence_id": 1347, "annotations": []}
{"role": "volunteer", "content": "And if you, if you slice it", "session_id": 8595, "sequence_id": 1348, "annotations": []}
{"role": "volunteer", "content": "you could just", "session_id": 8595, "sequence_id": 1349, "annotations": []}
{"role": "volunteer", "content": "think of multiplying", "session_id": 8595, "sequence_id": 1350, "annotations": []}
{"role": "volunteer", "content": "the height times the area.", "session_id": 8595, "sequence_id": 1351, "annotations": []}
{"role": "volunteer", "content": "sort of uh, but that's the same thing as piR2H and so I think", "session_id": 8595, "sequence_id": 1352, "annotations": []}
{"role": "volunteer", "content": "you're", "session_id": 8595, "sequence_id": 1353, "annotations": []}
{"role": "volunteer", "content": "you will have no problem remembering that.", "session_id": 8595, "sequence_id": 1354, "annotations": []}
{"role": "student", "content": "I hope.", "session_id": 8595, "sequence_id": 1355, "annotations": []}
{"role": "volunteer", "content": "Mhm", "session_id": 8595, "sequence_id": 1356, "annotations": []}
{"role": "student", "content": "Mm", "session_id": 8595, "sequence_id": 1357, "annotations": []}
{"role": "student", "content": "OK, so do we also have to know the um", "session_id": 8595, "sequence_id": 1358, "annotations": []}
{"role": "student", "content": "the area of a cylinder, like the formula of the area of a cylinder.", "session_id": 8595, "sequence_id": 1359, "annotations": []}
{"role": "volunteer", "content": "Well", "session_id": 8595, "sequence_id": 1360, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 8595, "sequence_id": 1361, "annotations": []}
{"role": "volunteer", "content": "So why don't you just write down", "session_id": 8595, "sequence_id": 1362, "annotations": []}
{"role": "volunteer", "content": "the what under B, why don't you go ahead and write down what you just said. Volume equals", "session_id": 8595, "sequence_id": 1363, "annotations": []}
{"role": "volunteer", "content": "the formula", "session_id": 8595, "sequence_id": 1364, "annotations": []}
{"role": "student", "content": "like here", "session_id": 8595, "sequence_id": 1365, "annotations": []}
{"role": "volunteer", "content": "right, right under B there.", "session_id": 8595, "sequence_id": 1366, "annotations": []}
{"role": "volunteer", "content": "first line under B", "session_id": 8595, "sequence_id": 1367, "annotations": []}
{"role": "volunteer", "content": "where it says 4 points", "session_id": 8595, "sequence_id": 1368, "annotations": []}
{"role": "student", "content": "Here.", "session_id": 8595, "sequence_id": 1369, "annotations": []}
{"role": "volunteer", "content": "You, you just told me what the bit volume of", "session_id": 8595, "sequence_id": 1370, "annotations": []}
{"role": "volunteer", "content": "the cylinder is. So write that down as your first step.", "session_id": 8595, "sequence_id": 1371, "annotations": []}
{"role": "volunteer", "content": "Beautiful.", "session_id": 8595, "sequence_id": 1372, "annotations": []}
{"role": "volunteer", "content": "Oh.", "session_id": 8595, "sequence_id": 1373, "annotations": []}
{"role": "volunteer", "content": "but what did they tell you the volume was?", "session_id": 8595, "sequence_id": 1374, "annotations": []}
{"role": "student", "content": "They said the volume 100 cubic units.", "session_id": 8595, "sequence_id": 1375, "annotations": []}
{"role": "volunteer", "content": "Right.", "session_id": 8595, "sequence_id": 1376, "annotations": []}
{"role": "volunteer", "content": "So", "session_id": 8595, "sequence_id": 1377, "annotations": []}
{"role": "student", "content": "So do you just write it down on the formula?", "session_id": 8595, "sequence_id": 1378, "annotations": []}
{"role": "volunteer", "content": "just say another equal sign.", "session_id": 8595, "sequence_id": 1379, "annotations": []}
{"role": "volunteer", "content": "after the pyR 28 and put it right there.", "session_id": 8595, "sequence_id": 1380, "annotations": []}
{"role": "volunteer", "content": "It's always gonna be 12 pie, so.", "session_id": 8595, "sequence_id": 1381, "annotations": []}
{"role": "volunteer", "content": "right.", "session_id": 8595, "sequence_id": 1382, "annotations": []}
{"role": "student", "content": "Yeah, cause it's constant.", "session_id": 8595, "sequence_id": 1383, "annotations": []}
{"role": "volunteer", "content": "All right, now you can go ahead and", "session_id": 8595, "sequence_id": 1384, "annotations": []}
{"role": "volunteer", "content": "solve for", "session_id": 8595, "sequence_id": 1385, "annotations": []}
{"role": "volunteer", "content": "sulfur H", "session_id": 8595, "sequence_id": 1386, "annotations": []}
{"role": "volunteer", "content": "right?", "session_id": 8595, "sequence_id": 1387, "annotations": []}
{"role": "student", "content": "We, we can't solve for age, but like the problem is we, we're trying to find the DADT and on our formula right now we don't have anything a related.", "session_id": 8595, "sequence_id": 1388, "annotations": []}
{"role": "volunteer", "content": "OK, but if we're just following the, the problems instructions.", "session_id": 8595, "sequence_id": 1389, "annotations": []}
{"role": "volunteer", "content": "which", "session_id": 8595, "sequence_id": 1390, "annotations": []}
{"role": "volunteer", "content": "you know", "session_id": 8595, "sequence_id": 1391, "annotations": []}
{"role": "volunteer", "content": "that, that, this is saying, asking you to find a formula that relates height with radius.", "session_id": 8595, "sequence_id": 1392, "annotations": []}
{"role": "volunteer", "content": "So don't you think", "session_id": 8595, "sequence_id": 1393, "annotations": []}
{"role": "volunteer", "content": "if you saw for H here that you would be doing what they're asking you to do. It's worth 4 points, right?", "session_id": 8595, "sequence_id": 1394, "annotations": []}
{"role": "volunteer", "content": "So", "session_id": 8595, "sequence_id": 1395, "annotations": []}
{"role": "student", "content": "Yeah. So that, that means for B we're already good then", "session_id": 8595, "sequence_id": 1396, "annotations": []}
{"role": "student", "content": "so we're on C", "session_id": 8595, "sequence_id": 1397, "annotations": []}
{"role": "volunteer", "content": "well you haven't finished it quite because you haven't solved for H. It says find a formula that relates height with the radius. So you've got it down there, sulfurH and you'll be done with that section, with that.", "session_id": 8595, "sequence_id": 1398, "annotations": []}
{"role": "student", "content": "OK", "session_id": 8595, "sequence_id": 1399, "annotations": []}
{"role": "volunteer", "content": "part.", "session_id": 8595, "sequence_id": 1400, "annotations": []}
{"role": "volunteer", "content": "So", "session_id": 8595, "sequence_id": 1401, "annotations": []}
{"role": "volunteer", "content": "yeah", "session_id": 8595, "sequence_id": 1402, "annotations": []}
{"role": "volunteer", "content": "Mhm", "session_id": 8595, "sequence_id": 1403, "annotations": []}
{"role": "student", "content": "So, but I don't think we plugged the R yet, right? So do we just keep it this way?", "session_id": 8595, "sequence_id": 1404, "annotations": []}
{"role": "volunteer", "content": "keep it this way because they're asking, so cancel the pies because they wanted a numerator, one of the denominator, right?", "session_id": 8595, "sequence_id": 1405, "annotations": []}
{"role": "student", "content": "Mhm. So.", "session_id": 8595, "sequence_id": 1406, "annotations": []}
{"role": "volunteer", "content": "And just, you, now you can write H equals 12 overr squared and you're done with Part B.", "session_id": 8595, "sequence_id": 1407, "annotations": []}
{"role": "volunteer", "content": "So, you know, when you get these kind of problems, you're trying to follow what they're asking you.", "session_id": 8595, "sequence_id": 1408, "annotations": []}
{"role": "student", "content": "OK", "session_id": 8595, "sequence_id": 1409, "annotations": []}
{"role": "volunteer", "content": "I", "session_id": 8595, "sequence_id": 1410, "annotations": []}
{"role": "volunteer", "content": "you, you did that one and so", "session_id": 8595, "sequence_id": 1411, "annotations": []}
{"role": "volunteer", "content": "all right.", "session_id": 8595, "sequence_id": 1412, "annotations": []}
{"role": "volunteer", "content": "let's see what she says.", "session_id": 8595, "sequence_id": 1413, "annotations": []}
{"role": "student", "content": "OK, so, first of all, A equals the area of a cylinder is", "session_id": 8595, "sequence_id": 1414, "annotations": []}
{"role": "student", "content": "um", "session_id": 8595, "sequence_id": 1415, "annotations": []}
{"role": "volunteer", "content": "OK, so", "session_id": 8595, "sequence_id": 1416, "annotations": []}
{"role": "student", "content": "I don't know.", "session_id": 8595, "sequence_id": 1417, "annotations": []}
{"role": "volunteer", "content": "yeah, this is a little", "session_id": 8595, "sequence_id": 1418, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 8595, "sequence_id": 1419, "annotations": []}
{"role": "student", "content": "I think we need to find out every about cylinder like the formula for that.", "session_id": 8595, "sequence_id": 1420, "annotations": []}
{"role": "volunteer", "content": "Find the one that relates A and H, which does not involve d", "session_id": 8595, "sequence_id": 1421, "annotations": []}
{"role": "volunteer", "content": "Um.", "session_id": 8595, "sequence_id": 1422, "annotations": []}
{"role": "volunteer", "content": "if you think about it", "session_id": 8595, "sequence_id": 1423, "annotations": []}
{"role": "volunteer", "content": "again, kind of going back to the", "session_id": 8595, "sequence_id": 1424, "annotations": []}
{"role": "volunteer", "content": "the idea of a", "session_id": 8595, "sequence_id": 1425, "annotations": []}
{"role": "volunteer", "content": "it's a, it's a cheese and you're slicing it horizontally.", "session_id": 8595, "sequence_id": 1426, "annotations": []}
{"role": "student", "content": "OK", "session_id": 8595, "sequence_id": 1427, "annotations": []}
{"role": "volunteer", "content": "If you think about it", "session_id": 8595, "sequence_id": 1428, "annotations": []}
{"role": "volunteer", "content": "V equals piR2 H like we said, but it also", "session_id": 8595, "sequence_id": 1429, "annotations": []}
{"role": "volunteer", "content": "V equals AH", "session_id": 8595, "sequence_id": 1430, "annotations": []}
{"role": "volunteer", "content": "right?", "session_id": 8595, "sequence_id": 1431, "annotations": []}
{"role": "volunteer", "content": "It's the same thing", "session_id": 8595, "sequence_id": 1432, "annotations": []}
{"role": "student", "content": "Oh, OK", "session_id": 8595, "sequence_id": 1433, "annotations": []}
{"role": "volunteer", "content": "because if, if you think about what that formula is saying V equals prior or squad H, it's saying it's the area of the circle", "session_id": 8595, "sequence_id": 1434, "annotations": []}
{"role": "volunteer", "content": "times H", "session_id": 8595, "sequence_id": 1435, "annotations": []}
{"role": "volunteer", "content": "So", "session_id": 8595, "sequence_id": 1436, "annotations": []}
{"role": "volunteer", "content": "really this is kind of", "session_id": 8595, "sequence_id": 1437, "annotations": []}
{"role": "volunteer", "content": "it, it just asking you to say, I, I don't", "session_id": 8595, "sequence_id": 1438, "annotations": []}
{"role": "volunteer", "content": "I put words in your mouth. So what would you write down for this one?", "session_id": 8595, "sequence_id": 1439, "annotations": []}
{"role": "student", "content": "Oh, then you will write down", "session_id": 8595, "sequence_id": 1440, "annotations": []}
{"role": "student", "content": "that's what you said because.", "session_id": 8595, "sequence_id": 1441, "annotations": []}
{"role": "student", "content": "A H.", "session_id": 8595, "sequence_id": 1442, "annotations": []}
{"role": "volunteer", "content": "Yeah, it's, it's really", "session_id": 8595, "sequence_id": 1443, "annotations": []}
{"role": "volunteer", "content": "it's really the same thing as the previous one, but you're not putting the pi R squared in there, right?", "session_id": 8595, "sequence_id": 1444, "annotations": []}
{"role": "student", "content": "Mhm", "session_id": 8595, "sequence_id": 1445, "annotations": []}
{"role": "student", "content": "Yeah.", "session_id": 8595, "sequence_id": 1446, "annotations": []}
{"role": "volunteer", "content": "So we're just kind of following, we're, we're kind of playing dumb here and", "session_id": 8595, "sequence_id": 1447, "annotations": []}
{"role": "volunteer", "content": "um", "session_id": 8595, "sequence_id": 1448, "annotations": []}
{"role": "student", "content": "So does that mean then HE +", "session_id": 8595, "sequence_id": 1449, "annotations": []}
{"role": "volunteer", "content": "right", "session_id": 8595, "sequence_id": 1450, "annotations": []}
{"role": "student", "content": "I mean, A equals V over H.", "session_id": 8595, "sequence_id": 1451, "annotations": []}
{"role": "volunteer", "content": "Exactly. So we're, we're not really sure if, if we're just playing along with, with their", "session_id": 8595, "sequence_id": 1452, "annotations": []}
{"role": "volunteer", "content": "idea here", "session_id": 8595, "sequence_id": 1453, "annotations": []}
{"role": "volunteer", "content": "We're just answering their questions, and they're giving you credit for each one that you do, so.", "session_id": 8595, "sequence_id": 1454, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 8595, "sequence_id": 1455, "annotations": []}
{"role": "volunteer", "content": "I think so far you're right on track, right?", "session_id": 8595, "sequence_id": 1456, "annotations": []}
{"role": "student", "content": "OK, I'll, I'll put the next um part.", "session_id": 8595, "sequence_id": 1457, "annotations": []}
{"role": "volunteer", "content": "OK.", "session_id": 8595, "sequence_id": 1458, "annotations": []}
{"role": "volunteer", "content": "So I think we've done, we've done fine", "session_id": 8595, "sequence_id": 1459, "annotations": []}
{"role": "student", "content": "OK, I uploaded it, but it's like a little bit like below.", "session_id": 8595, "sequence_id": 1460, "annotations": []}
{"role": "volunteer", "content": "OK, so here's the final, this is part D, right?", "session_id": 8595, "sequence_id": 1461, "annotations": []}
{"role": "volunteer", "content": "Oh", "session_id": 8595, "sequence_id": 1462, "annotations": []}
{"role": "student", "content": "Yeah, that's the final two.", "session_id": 8595, "sequence_id": 1463, "annotations": []}
{"role": "volunteer", "content": "OK, so the final two.", "session_id": 8595, "sequence_id": 1464, "annotations": []}
{"role": "volunteer", "content": "So,", "session_id": 8595, "sequence_id": 1465, "annotations": []}
{"role": "volunteer", "content": "they asked you to do", "session_id": 8595, "sequence_id": 1466, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 8595, "sequence_id": 1467, "annotations": []}
{"role": "volunteer", "content": "they asked you to do a couple of things here. You've got two formulas you came up with.", "session_id": 8595, "sequence_id": 1468, "annotations": []}
{"role": "student", "content": "Mhm", "session_id": 8595, "sequence_id": 1469, "annotations": []}
{"role": "volunteer", "content": "I'm just kind of speaking out loud for my own.", "session_id": 8595, "sequence_id": 1470, "annotations": []}
{"role": "volunteer", "content": "benefit too. You got 8 equals 12 over y.", "session_id": 8595, "sequence_id": 1471, "annotations": []}
{"role": "volunteer", "content": "and you've got A equals V over H, right?", "session_id": 8595, "sequence_id": 1472, "annotations": []}
{"role": "student", "content": "Mhm", "session_id": 8595, "sequence_id": 1473, "annotations": []}
{"role": "volunteer", "content": "So", "session_id": 8595, "sequence_id": 1474, "annotations": []}
{"role": "volunteer", "content": "um", "session_id": 8595, "sequence_id": 1475, "annotations": []}
{"role": "volunteer", "content": "it seems to me that they're kind of", "session_id": 8595, "sequence_id": 1476, "annotations": []}
{"role": "volunteer", "content": "you want, they want you to", "session_id": 8595, "sequence_id": 1477, "annotations": []}
{"role": "student", "content": "No.", "session_id": 8595, "sequence_id": 1478, "annotations": []}
{"role": "volunteer", "content": "find the value of DADT.", "session_id": 8595, "sequence_id": 1479, "annotations": []}
{"role": "volunteer", "content": "and", "session_id": 8595, "sequence_id": 1480, "annotations": []}
{"role": "volunteer", "content": "you already sawurH.", "session_id": 8595, "sequence_id": 1481, "annotations": []}
{"role": "volunteer", "content": "Um, let's see", "session_id": 8595, "sequence_id": 1482, "annotations": []}
{"role": "volunteer", "content": "at Boston.", "session_id": 8595, "sequence_id": 1483, "annotations": [{"pii_type": "LOCATION", "surrogate": "Boston", "start": 3, "end": 9}]}
{"role": "student", "content": "So, are you, so do we basically like now differentiate the A over VH or over h.", "session_id": 8595, "sequence_id": 1484, "annotations": []}
{"role": "volunteer", "content": "Um", "session_id": 8595, "sequence_id": 1485, "annotations": []}
{"role": "volunteer", "content": "that's what it looks like", "session_id": 8595, "sequence_id": 1486, "annotations": []}
{"role": "volunteer", "content": "So I think we just follow our noses and try to do what they're saying, right?", "session_id": 8595, "sequence_id": 1487, "annotations": []}
{"role": "student", "content": "Mhm", "session_id": 8595, "sequence_id": 1488, "annotations": []}
{"role": "volunteer", "content": "So", "session_id": 8595, "sequence_id": 1489, "annotations": []}
{"role": "volunteer", "content": "um", "session_id": 8595, "sequence_id": 1490, "annotations": []}
{"role": "volunteer", "content": "we are given", "session_id": 8595, "sequence_id": 1491, "annotations": []}
{"role": "volunteer", "content": "they're saying add H equals 3, right?", "session_id": 8595, "sequence_id": 1492, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 8595, "sequence_id": 1493, "annotations": []}
{"role": "student", "content": "Well, so do you want me to do it", "session_id": 8595, "sequence_id": 1494, "annotations": []}
{"role": "volunteer", "content": "Well, I'm thinking about what", "session_id": 8595, "sequence_id": 1495, "annotations": []}
{"role": "volunteer", "content": "uh, I'm thinking about what", "session_id": 8595, "sequence_id": 1496, "annotations": []}
{"role": "volunteer", "content": "the step is here. So let, let me take a couple of minutes and just think about this.", "session_id": 8595, "sequence_id": 1497, "annotations": []}
{"role": "student", "content": "OK", "session_id": 8595, "sequence_id": 1498, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 8595, "sequence_id": 1499, "annotations": []}
{"role": "volunteer", "content": "So I think you have everything", "session_id": 8595, "sequence_id": 1500, "annotations": []}
{"role": "volunteer", "content": "that you need, but it may not seem so obvious.", "session_id": 8595, "sequence_id": 1501, "annotations": []}
{"role": "student", "content": "OK", "session_id": 8595, "sequence_id": 1502, "annotations": []}
{"role": "volunteer", "content": "So if we just follow, we just follow um", "session_id": 8595, "sequence_id": 1503, "annotations": []}
{"role": "volunteer", "content": "the formula that you got A equals V over H.", "session_id": 8595, "sequence_id": 1504, "annotations": []}
{"role": "volunteer", "content": "What would you do to find DADT?", "session_id": 8595, "sequence_id": 1505, "annotations": []}
{"role": "student", "content": "We repeat that for a second, sorry.", "session_id": 8595, "sequence_id": 1506, "annotations": []}
{"role": "volunteer", "content": "So, so you, you solved, you did Part C and you got A equals", "session_id": 8595, "sequence_id": 1507, "annotations": []}
{"role": "volunteer", "content": "B over H, right", "session_id": 8595, "sequence_id": 1508, "annotations": []}
{"role": "volunteer", "content": "B over 8", "session_id": 8595, "sequence_id": 1509, "annotations": []}
{"role": "volunteer", "content": "right?", "session_id": 8595, "sequence_id": 1510, "annotations": []}
{"role": "student", "content": "Yeah, be over age, yeah.", "session_id": 8595, "sequence_id": 1511, "annotations": []}
{"role": "volunteer", "content": "OK, so now we want to go ahead and compute the ADT, right?", "session_id": 8595, "sequence_id": 1512, "annotations": []}
{"role": "student", "content": "Right", "session_id": 8595, "sequence_id": 1513, "annotations": []}
{"role": "volunteer", "content": "Now,", "session_id": 8595, "sequence_id": 1514, "annotations": []}
{"role": "volunteer", "content": "what's interesting is that both the volume", "session_id": 8595, "sequence_id": 1515, "annotations": []}
{"role": "volunteer", "content": "well, let's see, do they tell us", "session_id": 8595, "sequence_id": 1516, "annotations": []}
{"role": "volunteer", "content": "at the beginning", "session_id": 8595, "sequence_id": 1517, "annotations": []}
{"role": "volunteer", "content": "volume stays constant. That's interesting.", "session_id": 8595, "sequence_id": 1518, "annotations": []}
{"role": "volunteer", "content": "OK.", "session_id": 8595, "sequence_id": 1519, "annotations": []}
{"role": "volunteer", "content": "Um", "session_id": 8595, "sequence_id": 1520, "annotations": []}
{"role": "volunteer", "content": "so", "session_id": 8595, "sequence_id": 1521, "annotations": []}
{"role": "volunteer", "content": "if, if we were just doing a math problem, and we had A equals V over H and we take a derivative with respect to time.", "session_id": 8595, "sequence_id": 1522, "annotations": []}
{"role": "volunteer", "content": "What formula would you use if you have that?", "session_id": 8595, "sequence_id": 1523, "annotations": []}
{"role": "volunteer", "content": "in front of you? What, what would you", "session_id": 8595, "sequence_id": 1524, "annotations": []}
{"role": "volunteer", "content": "remember VNH are", "session_id": 8595, "sequence_id": 1525, "annotations": []}
{"role": "volunteer", "content": "um", "session_id": 8595, "sequence_id": 1526, "annotations": []}
{"role": "volunteer", "content": "let's just think of it as variables.", "session_id": 8595, "sequence_id": 1527, "annotations": []}
{"role": "volunteer", "content": "Well, I'm gonna make it, I'm gonna make it simpler than that", "session_id": 8595, "sequence_id": 1528, "annotations": []}
{"role": "volunteer", "content": "I don't need to make this complicated for you.", "session_id": 8595, "sequence_id": 1529, "annotations": []}
{"role": "volunteer", "content": "So don't, don't they tell us", "session_id": 8595, "sequence_id": 1530, "annotations": []}
{"role": "volunteer", "content": "that", "session_id": 8595, "sequence_id": 1531, "annotations": []}
{"role": "volunteer", "content": "well", "session_id": 8595, "sequence_id": 1532, "annotations": []}
{"role": "volunteer", "content": "I can kind of tell you what to do, I guess. You got to take the derivative of A with respect to T, right?", "session_id": 8595, "sequence_id": 1533, "annotations": []}
{"role": "student", "content": "Right", "session_id": 8595, "sequence_id": 1534, "annotations": []}
{"role": "volunteer", "content": "So, you're looking at this", "session_id": 8595, "sequence_id": 1535, "annotations": []}
{"role": "volunteer", "content": "if those are what when you use the quotient rule to determine DADT.", "session_id": 8595, "sequence_id": 1536, "annotations": []}
{"role": "student", "content": "Mhm", "session_id": 8595, "sequence_id": 1537, "annotations": []}
{"role": "volunteer", "content": "denominator times derivative numerator minus numerators, temperature.", "session_id": 8595, "sequence_id": 1538, "annotations": []}
{"role": "student", "content": "Yeah, I know that much", "session_id": 8595, "sequence_id": 1539, "annotations": []}
{"role": "volunteer", "content": "denominator, all of the denominating square. So that's the way I was thinking of it of answering.", "session_id": 8595, "sequence_id": 1540, "annotations": []}
{"role": "volunteer", "content": "So we could go ahead and do that", "session_id": 8595, "sequence_id": 1541, "annotations": []}
{"role": "volunteer", "content": "um,", "session_id": 8595, "sequence_id": 1542, "annotations": []}
{"role": "volunteer", "content": "and see what we get and then hopefully we'll be able to plug in and get the answer.", "session_id": 8595, "sequence_id": 1543, "annotations": []}
{"role": "student", "content": "Uh", "session_id": 8595, "sequence_id": 1544, "annotations": []}
{"role": "student", "content": "Mhm", "session_id": 8595, "sequence_id": 1545, "annotations": []}
{"role": "volunteer", "content": "Excellent", "session_id": 8595, "sequence_id": 1546, "annotations": []}
{"role": "volunteer", "content": "All right, now the question is, do we have everything we need here to answer to plug in, right?", "session_id": 8595, "sequence_id": 1547, "annotations": []}
{"role": "volunteer", "content": "So we'll", "session_id": 8595, "sequence_id": 1548, "annotations": []}
{"role": "student", "content": "Yeah, let's see. So we do have the H, which is the 3.", "session_id": 8595, "sequence_id": 1549, "annotations": []}
{"role": "volunteer", "content": "good", "session_id": 8595, "sequence_id": 1550, "annotations": []}
{"role": "volunteer", "content": "So we know that", "session_id": 8595, "sequence_id": 1551, "annotations": []}
{"role": "student", "content": "And then, yeah, we have the", "session_id": 8595, "sequence_id": 1552, "annotations": []}
{"role": "student", "content": "oh", "session_id": 8595, "sequence_id": 1553, "annotations": []}
{"role": "student", "content": "We don't have the DVDT.", "session_id": 8595, "sequence_id": 1554, "annotations": []}
{"role": "volunteer", "content": "Yeah, we do, but it's kind of hidden.", "session_id": 8595, "sequence_id": 1555, "annotations": []}
{"role": "volunteer", "content": "So what do you think the", "session_id": 8595, "sequence_id": 1556, "annotations": []}
{"role": "volunteer", "content": "go back to the problem and read what it, like one of the first things it says there.", "session_id": 8595, "sequence_id": 1557, "annotations": []}
{"role": "student", "content": "OK", "session_id": 8595, "sequence_id": 1558, "annotations": []}
{"role": "volunteer", "content": "FIFA kind of", "session_id": 8595, "sequence_id": 1559, "annotations": []}
{"role": "student", "content": "The top *****, uh, the 12 5 cubic centimeters. Isn't that the B?", "session_id": 8595, "sequence_id": 1560, "annotations": []}
{"role": "volunteer", "content": "I'm sorry, say again", "session_id": 8595, "sequence_id": 1561, "annotations": []}
{"role": "student", "content": "The uh 12 cubic centimeters.", "session_id": 8595, "sequence_id": 1562, "annotations": []}
{"role": "volunteer", "content": "So it is, let me go back up to the top and read it with you.", "session_id": 8595, "sequence_id": 1563, "annotations": []}
{"role": "volunteer", "content": "So the volume remains constant at 12 pi cubic meters.", "session_id": 8595, "sequence_id": 1564, "annotations": []}
{"role": "volunteer", "content": "So what does that say about DVDT?", "session_id": 8595, "sequence_id": 1565, "annotations": []}
{"role": "student", "content": "Uh, that is constant. It's 0.", "session_id": 8595, "sequence_id": 1566, "annotations": []}
{"role": "volunteer", "content": "Yes, that's the key right there. So that's a little bit of a trick.", "session_id": 8595, "sequence_id": 1567, "annotations": []}
{"role": "volunteer", "content": "DVDT is 0 because they're telling you that it is a constant.", "session_id": 8595, "sequence_id": 1568, "annotations": []}
{"role": "student", "content": "No", "session_id": 8595, "sequence_id": 1569, "annotations": []}
{"role": "volunteer", "content": "And we know that the derivative of a constant is zero, so that first term", "session_id": 8595, "sequence_id": 1570, "annotations": []}
{"role": "volunteer", "content": "gets blown away, right", "session_id": 8595, "sequence_id": 1571, "annotations": []}
{"role": "student", "content": "Right", "session_id": 8595, "sequence_id": 1572, "annotations": []}
{"role": "volunteer", "content": "OK, let's see how we're doing. So you already know you got age. Let's see, what do we have V and DHBT?", "session_id": 8595, "sequence_id": 1573, "annotations": []}
{"role": "student", "content": "The position is negative, um, 1 m. So just -1.", "session_id": 8595, "sequence_id": 1574, "annotations": []}
{"role": "volunteer", "content": "Um", "session_id": 8595, "sequence_id": 1575, "annotations": []}
{"role": "volunteer", "content": "right, shrinking. And what is", "session_id": 8595, "sequence_id": 1576, "annotations": []}
{"role": "volunteer", "content": "uh B", "session_id": 8595, "sequence_id": 1577, "annotations": []}
{"role": "student", "content": "And then the V is the 12 pi.", "session_id": 8595, "sequence_id": 1578, "annotations": []}
{"role": "volunteer", "content": "You got it. So let's plug in and see what you get for t at.", "session_id": 8595, "sequence_id": 1579, "annotations": []}
{"role": "volunteer", "content": "as the A equals.", "session_id": 8595, "sequence_id": 1580, "annotations": []}
{"role": "student", "content": "OK", "session_id": 8595, "sequence_id": 1581, "annotations": []}
{"role": "student", "content": "Mm", "session_id": 8595, "sequence_id": 1582, "annotations": []}
{"role": "student", "content": "I'll just write it on here", "session_id": 8595, "sequence_id": 1583, "annotations": []}
{"role": "student", "content": "OK", "session_id": 8595, "sequence_id": 1584, "annotations": []}
{"role": "student", "content": "over", "session_id": 8595, "sequence_id": 1585, "annotations": []}
{"role": "student", "content": "So is it basically to for high overnight.", "session_id": 8595, "sequence_id": 1586, "annotations": []}
{"role": "volunteer", "content": "Mhm.", "session_id": 8595, "sequence_id": 1587, "annotations": []}
{"role": "student", "content": "You have to fur further, yeah, we can further do it but I really.", "session_id": 8595, "sequence_id": 1588, "annotations": []}
{"role": "volunteer", "content": "Mhm.", "session_id": 8595, "sequence_id": 1589, "annotations": []}
{"role": "student", "content": "free and cover.", "session_id": 8595, "sequence_id": 1590, "annotations": []}
{"role": "student", "content": "and then", "session_id": 8595, "sequence_id": 1591, "annotations": []}
{"role": "student", "content": "not forgetting the", "session_id": 8595, "sequence_id": 1592, "annotations": []}
{"role": "student", "content": "so.", "session_id": 8595, "sequence_id": 1593, "annotations": []}
{"role": "student", "content": "need", "session_id": 8595, "sequence_id": 1594, "annotations": []}
{"role": "student", "content": "ter s and meters", "session_id": 8595, "sequence_id": 1595, "annotations": []}
{"role": "student", "content": "That.", "session_id": 8595, "sequence_id": 1596, "annotations": []}
{"role": "volunteer", "content": "So let's see what you you're talking the BOD things so", "session_id": 8595, "sequence_id": 1597, "annotations": []}
{"role": "volunteer", "content": "everything's in uh", "session_id": 8595, "sequence_id": 1598, "annotations": []}
{"role": "volunteer", "content": "square meters, right?", "session_id": 8595, "sequence_id": 1599, "annotations": []}
{"role": "student", "content": "per hour", "session_id": 8595, "sequence_id": 1600, "annotations": []}
{"role": "volunteer", "content": "Um", "session_id": 8595, "sequence_id": 1601, "annotations": []}
{"role": "student", "content": "square meters", "session_id": 8595, "sequence_id": 1602, "annotations": []}
{"role": "volunteer", "content": "let's see", "session_id": 8595, "sequence_id": 1603, "annotations": []}
{"role": "volunteer", "content": "We, let's see what they say.", "session_id": 8595, "sequence_id": 1604, "annotations": []}
{"role": "volunteer", "content": "Yeah, meters and square meters per", "session_id": 8595, "sequence_id": 1605, "annotations": []}
{"role": "volunteer", "content": "uh", "session_id": 8595, "sequence_id": 1606, "annotations": []}
{"role": "student", "content": "per hour I mean", "session_id": 8595, "sequence_id": 1607, "annotations": []}
{"role": "volunteer", "content": "where did they say the time?", "session_id": 8595, "sequence_id": 1608, "annotations": []}
{"role": "volunteer", "content": "Oh, I'm gonna", "session_id": 8595, "sequence_id": 1609, "annotations": []}
{"role": "student", "content": "like just below", "session_id": 8595, "sequence_id": 1610, "annotations": []}
{"role": "student", "content": "where it says um", "session_id": 8595, "sequence_id": 1611, "annotations": []}
{"role": "volunteer", "content": "call per hour, I see, right.", "session_id": 8595, "sequence_id": 1612, "annotations": []}
{"role": "student", "content": "yeah, for uh", "session_id": 8595, "sequence_id": 1613, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 8595, "sequence_id": 1614, "annotations": []}
{"role": "volunteer", "content": "So the square meters per hour, right?", "session_id": 8595, "sequence_id": 1615, "annotations": []}
{"role": "student", "content": "And it is square meters because we're finding that DADT, which is the derivative of the uh area, right?", "session_id": 8595, "sequence_id": 1616, "annotations": []}
{"role": "volunteer", "content": "Correct", "session_id": 8595, "sequence_id": 1617, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 8595, "sequence_id": 1618, "annotations": []}
{"role": "volunteer", "content": "So that's kind of what we're just basing it on, yeah.", "session_id": 8595, "sequence_id": 1619, "annotations": []}
{"role": "volunteer", "content": "So", "session_id": 8595, "sequence_id": 1620, "annotations": []}
{"role": "volunteer", "content": "let me just step back for a minute and think about what you got here.", "session_id": 8595, "sequence_id": 1621, "annotations": []}
{"role": "volunteer", "content": "So we know that if the if the height is shrinking", "session_id": 8595, "sequence_id": 1622, "annotations": []}
{"role": "student", "content": "Mhm", "session_id": 8595, "sequence_id": 1623, "annotations": []}
{"role": "volunteer", "content": "and the thing is staying constant. I'm just thinking out loud here. The area must be going up and you have a positive area, right?", "session_id": 8595, "sequence_id": 1624, "annotations": []}
{"role": "volunteer", "content": "Cause", "session_id": 8595, "sequence_id": 1625, "annotations": []}
{"role": "volunteer", "content": "so what I'm, I'm just thinking intuitively about your answer, which I think it makes sense.", "session_id": 8595, "sequence_id": 1626, "annotations": []}
{"role": "volunteer", "content": "Um.", "session_id": 8595, "sequence_id": 1627, "annotations": []}
{"role": "student", "content": "OK", "session_id": 8595, "sequence_id": 1628, "annotations": []}
{"role": "volunteer", "content": "they're telling you that the volume is constant", "session_id": 8595, "sequence_id": 1629, "annotations": []}
{"role": "volunteer", "content": "but that the height is shrinking.", "session_id": 8595, "sequence_id": 1630, "annotations": []}
{"role": "volunteer", "content": "Therefore, it seems logical that the area is increasing or the radius, you know, radius and area are increasing, and that's what you came up with. You came up", "session_id": 8595, "sequence_id": 1631, "annotations": []}
{"role": "volunteer", "content": "with the fact that", "session_id": 8595, "sequence_id": 1632, "annotations": []}
{"role": "volunteer", "content": "in order for the volume", "session_id": 8595, "sequence_id": 1633, "annotations": []}
{"role": "student", "content": "Well sorry you like the little Betty didn't hear what you say.", "session_id": 8595, "sequence_id": 1634, "annotations": []}
{"role": "volunteer", "content": "you want me to start over", "session_id": 8595, "sequence_id": 1635, "annotations": []}
{"role": "volunteer", "content": "Oh, OK", "session_id": 8595, "sequence_id": 1636, "annotations": []}
{"role": "volunteer", "content": "Um", "session_id": 8595, "sequence_id": 1637, "annotations": []}
{"role": "volunteer", "content": "so I'm just looking at your answer, which I believe is correct.", "session_id": 8595, "sequence_id": 1638, "annotations": []}
{"role": "volunteer", "content": "Reme I'm just thinking about what the whole problem says, which could be uh", "session_id": 8595, "sequence_id": 1639, "annotations": []}
{"role": "volunteer", "content": "could be kind of the answer to part E here, but", "session_id": 8595, "sequence_id": 1640, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 8595, "sequence_id": 1641, "annotations": []}
{"role": "volunteer", "content": "um", "session_id": 8595, "sequence_id": 1642, "annotations": []}
{"role": "volunteer", "content": "so they told you the volume was constant.", "session_id": 8595, "sequence_id": 1643, "annotations": []}
{"role": "volunteer", "content": "in the problem", "session_id": 8595, "sequence_id": 1644, "annotations": []}
{"role": "volunteer", "content": "But yet they told you the height was shrinking.", "session_id": 8595, "sequence_id": 1645, "annotations": []}
{"role": "volunteer", "content": "right?", "session_id": 8595, "sequence_id": 1646, "annotations": []}
{"role": "volunteer", "content": "But", "session_id": 8595, "sequence_id": 1647, "annotations": []}
{"role": "student", "content": "Mhm. Yeah.", "session_id": 8595, "sequence_id": 1648, "annotations": []}
{"role": "volunteer", "content": "so that means in order for the volume to be to be constant and the high shrinking that the area, the cross-sectional areas must be getting bigger, right?", "session_id": 8595, "sequence_id": 1649, "annotations": []}
{"role": "student", "content": "Yeah.", "session_id": 8595, "sequence_id": 1650, "annotations": []}
{"role": "volunteer", "content": "And that's what your answer your answer says, the areas", "session_id": 8595, "sequence_id": 1651, "annotations": []}
{"role": "volunteer", "content": "increasing", "session_id": 8595, "sequence_id": 1652, "annotations": []}
{"role": "volunteer", "content": "even though the, the height is decreasing at 1 m per second", "session_id": 8595, "sequence_id": 1653, "annotations": []}
{"role": "volunteer", "content": "or per hour", "session_id": 8595, "sequence_id": 1654, "annotations": []}
{"role": "volunteer", "content": "The area is increasing at 45/3 square meters per hour.", "session_id": 8595, "sequence_id": 1655, "annotations": []}
{"role": "volunteer", "content": "So.", "session_id": 8595, "sequence_id": 1656, "annotations": []}
{"role": "volunteer", "content": "So first of all, can you, do you know what the answer to this question is or this one?", "session_id": 8595, "sequence_id": 1657, "annotations": []}
{"role": "student", "content": "Yeah, there's a, it's I can check it.", "session_id": 8595, "sequence_id": 1658, "annotations": []}
{"role": "volunteer", "content": "Yeah, let's make sure we're", "session_id": 8595, "sequence_id": 1659, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 8595, "sequence_id": 1660, "annotations": []}
{"role": "volunteer", "content": "mhm.", "session_id": 8595, "sequence_id": 1661, "annotations": []}
{"role": "student", "content": "I", "session_id": 8595, "sequence_id": 1662, "annotations": []}
{"role": "student", "content": "what you", "session_id": 8595, "sequence_id": 1663, "annotations": []}
{"role": "student", "content": "OK, let's go through it. So basically for B, what they did is they did V equals pi R2H and it just did.", "session_id": 8595, "sequence_id": 1664, "annotations": []}
{"role": "student", "content": "12 pi equals pi R2H and is divided the pi on both sides. So the formula for B was R2H", "session_id": 8595, "sequence_id": 1665, "annotations": []}
{"role": "student", "content": "equals 12.", "session_id": 8595, "sequence_id": 1666, "annotations": []}
{"role": "volunteer", "content": "Same thing that you did, really. Uh.", "session_id": 8595, "sequence_id": 1667, "annotations": []}
{"role": "volunteer", "content": "I don't really see any difference. Yours just says H equals 12 overr 2.", "session_id": 8595, "sequence_id": 1668, "annotations": []}
{"role": "volunteer", "content": "but", "session_id": 8595, "sequence_id": 1669, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 8595, "sequence_id": 1670, "annotations": []}
{"role": "student", "content": "So when they say they want a formula that relates H and R, do they mean that they want the HNR to be on one side, basically.", "session_id": 8595, "sequence_id": 1671, "annotations": []}
{"role": "volunteer", "content": "Well, I, I, I think both answers", "session_id": 8595, "sequence_id": 1672, "annotations": []}
{"role": "volunteer", "content": "are correct", "session_id": 8595, "sequence_id": 1673, "annotations": []}
{"role": "student", "content": "OK", "session_id": 8595, "sequence_id": 1674, "annotations": []}
{"role": "volunteer", "content": "I", "session_id": 8595, "sequence_id": 1675, "annotations": []}
{"role": "volunteer", "content": "find a formula that relates the height and the radius. Yours did that, and theirs does. I mean, both of them are really saying the same thing.", "session_id": 8595, "sequence_id": 1676, "annotations": []}
{"role": "student", "content": "Uh", "session_id": 8595, "sequence_id": 1677, "annotations": []}
{"role": "volunteer", "content": "They're the same equation that's written a little differently.", "session_id": 8595, "sequence_id": 1678, "annotations": []}
{"role": "volunteer", "content": "One says 12 equals hr squared and yours, we just decided.", "session_id": 8595, "sequence_id": 1679, "annotations": []}
{"role": "volunteer", "content": "you know, to say that H equals 12 over r squared. So I, I would assume that either answer would be acceptable.", "session_id": 8595, "sequence_id": 1680, "annotations": []}
{"role": "volunteer", "content": "I, I thought this answered it a little more directly by just solving for H, but", "session_id": 8595, "sequence_id": 1681, "annotations": []}
{"role": "student", "content": "OK. Yes, it's OK. And then for C, they did um", "session_id": 8595, "sequence_id": 1682, "annotations": []}
{"role": "student", "content": "instead of what we did, we, we looked at the volume. They never really look at the volume here like yet what they did was they did a equals pi k and then the um, they changed the art.", "session_id": 8595, "sequence_id": 1683, "annotations": []}
{"role": "student", "content": "to 12/8.", "session_id": 8595, "sequence_id": 1684, "annotations": []}
{"role": "student", "content": "and it is said that the area was 12 over h. So they then", "session_id": 8595, "sequence_id": 1685, "annotations": []}
{"role": "volunteer", "content": "Well, OK, so", "session_id": 8595, "sequence_id": 1686, "annotations": []}
{"role": "volunteer", "content": "um,", "session_id": 8595, "sequence_id": 1687, "annotations": []}
{"role": "student", "content": "at your age", "session_id": 8595, "sequence_id": 1688, "annotations": []}
{"role": "volunteer", "content": "they're, they're, they're basically putting in the constant right there. They they just decided", "session_id": 8595, "sequence_id": 1689, "annotations": []}
{"role": "student", "content": "Yeah right there", "session_id": 8595, "sequence_id": 1690, "annotations": []}
{"role": "volunteer", "content": "to put it right there", "session_id": 8595, "sequence_id": 1691, "annotations": []}
{"role": "volunteer", "content": "Again, any, anybody that would take off for what", "session_id": 8595, "sequence_id": 1692, "annotations": []}
{"role": "volunteer", "content": "you answered here", "session_id": 8595, "sequence_id": 1693, "annotations": []}
{"role": "volunteer", "content": "would be way off mark, I think.", "session_id": 8595, "sequence_id": 1694, "annotations": []}
{"role": "volunteer", "content": "They didn't say, you know, they did.", "session_id": 8595, "sequence_id": 1695, "annotations": []}
{"role": "volunteer", "content": "Anyhow", "session_id": 8595, "sequence_id": 1696, "annotations": []}
{"role": "volunteer", "content": "I find", "session_id": 8595, "sequence_id": 1697, "annotations": []}
{"role": "volunteer", "content": "the V over h to be a little more", "session_id": 8595, "sequence_id": 1698, "annotations": []}
{"role": "student", "content": "Yeah.", "session_id": 8595, "sequence_id": 1699, "annotations": []}
{"role": "volunteer", "content": "bright, but if you wanted to plug in the constant, you could right away and", "session_id": 8595, "sequence_id": 1700, "annotations": []}
{"role": "volunteer", "content": "with equivalent, in my opinion.", "session_id": 8595, "sequence_id": 1701, "annotations": []}
{"role": "volunteer", "content": "So.", "session_id": 8595, "sequence_id": 1702, "annotations": []}
{"role": "volunteer", "content": "hopefully", "session_id": 8595, "sequence_id": 1703, "annotations": []}
{"role": "volunteer", "content": "whoever looks at, you know, grading stuff like this, if you're writing it out, says, yeah, that's right.", "session_id": 8595, "sequence_id": 1704, "annotations": []}
{"role": "volunteer", "content": "So", "session_id": 8595, "sequence_id": 1705, "annotations": []}
{"role": "student", "content": "OK", "session_id": 8595, "sequence_id": 1706, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 8595, "sequence_id": 1707, "annotations": []}
{"role": "student", "content": "Yeah, and then the answer was right for uh", "session_id": 8595, "sequence_id": 1708, "annotations": []}
{"role": "volunteer", "content": "So I don't think it's reasonable to expect to get the answer.", "session_id": 8595, "sequence_id": 1709, "annotations": []}
{"role": "student", "content": "and, but for like part E, what do you say?", "session_id": 8595, "sequence_id": 1710, "annotations": []}
{"role": "volunteer", "content": "Well, what, what I was saying there", "session_id": 8595, "sequence_id": 1711, "annotations": []}
{"role": "volunteer", "content": "is", "session_id": 8595, "sequence_id": 1712, "annotations": []}
{"role": "volunteer", "content": "I'm kind of repeating, but", "session_id": 8595, "sequence_id": 1713, "annotations": []}
{"role": "volunteer", "content": "I just stepped back from it and looked at your answers.", "session_id": 8595, "sequence_id": 1714, "annotations": []}
{"role": "volunteer", "content": "What does it mean about the cylinder?", "session_id": 8595, "sequence_id": 1715, "annotations": []}
{"role": "volunteer", "content": "Um,", "session_id": 8595, "sequence_id": 1716, "annotations": []}
{"role": "volunteer", "content": "the rate says that", "session_id": 8595, "sequence_id": 1717, "annotations": []}
{"role": "volunteer", "content": "the area must be increasing.", "session_id": 8595, "sequence_id": 1718, "annotations": []}
{"role": "volunteer", "content": "at a because the height is decreasing to give a constant volume.", "session_id": 8595, "sequence_id": 1719, "annotations": []}
{"role": "volunteer", "content": "So,", "session_id": 8595, "sequence_id": 1720, "annotations": []}
{"role": "volunteer", "content": "all I'm saying is, if the volume is to remain constant of the cylinder.", "session_id": 8595, "sequence_id": 1721, "annotations": []}
{"role": "volunteer", "content": "and the height is", "session_id": 8595, "sequence_id": 1722, "annotations": []}
{"role": "volunteer", "content": "decreasing", "session_id": 8595, "sequence_id": 1723, "annotations": []}
{"role": "volunteer", "content": "then", "session_id": 8595, "sequence_id": 1724, "annotations": []}
{"role": "volunteer", "content": "the area must be increasing.", "session_id": 8595, "sequence_id": 1725, "annotations": []}
{"role": "volunteer", "content": "And we computed it as 4 pi over 3 square meters.", "session_id": 8595, "sequence_id": 1726, "annotations": []}
{"role": "volunteer", "content": "per hour", "session_id": 8595, "sequence_id": 1727, "annotations": []}
{"role": "student", "content": "OK", "session_id": 8595, "sequence_id": 1728, "annotations": []}
{"role": "volunteer", "content": "That would be what I would say, write a sentence to explain what the **** found in DADT means about the cylinder. It just means", "session_id": 8595, "sequence_id": 1729, "annotations": []}
{"role": "volunteer", "content": "clearly, if you have a", "session_id": 8595, "sequence_id": 1730, "annotations": []}
{"role": "volunteer", "content": "constant volume", "session_id": 8595, "sequence_id": 1731, "annotations": []}
{"role": "volunteer", "content": "and your height is decreasing, then your cross-sectional area must be increasing.", "session_id": 8595, "sequence_id": 1732, "annotations": []}
{"role": "student", "content": "Right", "session_id": 8595, "sequence_id": 1733, "annotations": []}
{"role": "student", "content": "So, basically, if I think about it like visually, in the cylinder as like since the volume is staying the same, it's constant, but then since the height is like um", "session_id": 8595, "sequence_id": 1734, "annotations": []}
{"role": "student", "content": "is decreasing, right?", "session_id": 8595, "sequence_id": 1735, "annotations": []}
{"role": "volunteer", "content": "Yeah, and so the whole thing is getting fat, right? Because this thing", "session_id": 8595, "sequence_id": 1736, "annotations": []}
{"role": "student", "content": "It's basically in squished, right? But the area is increasing.", "session_id": 8595, "sequence_id": 1737, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 8595, "sequence_id": 1738, "annotations": []}
{"role": "volunteer", "content": "exactly. If you sat on it, you're exactly right that you're thinking right. If you sat on it, what would happen? It would squish and it would get wider, right?", "session_id": 8595, "sequence_id": 1739, "annotations": []}
{"role": "student", "content": "Right", "session_id": 8595, "sequence_id": 1740, "annotations": []}
{"role": "volunteer", "content": "So,", "session_id": 8595, "sequence_id": 1741, "annotations": []}
{"role": "volunteer", "content": "that you can say that exact kind of thing in your explanation I'd give it a 5 out of 5, you know.", "session_id": 8595, "sequence_id": 1742, "annotations": []}
{"role": "student", "content": "Mhm", "session_id": 8595, "sequence_id": 1743, "annotations": []}
{"role": "volunteer", "content": "Anyhow", "session_id": 8595, "sequence_id": 1744, "annotations": []}
{"role": "volunteer", "content": "one thing I always have a problem with is", "session_id": 8595, "sequence_id": 1745, "annotations": []}
{"role": "volunteer", "content": "teachers and our students who think that the book is always the correct right answer.", "session_id": 8595, "sequence_id": 1746, "annotations": []}
{"role": "volunteer", "content": "you know.", "session_id": 8595, "sequence_id": 1747, "annotations": []}
{"role": "volunteer", "content": "Sometimes it's in a different way or a different form.", "session_id": 8595, "sequence_id": 1748, "annotations": []}
{"role": "volunteer", "content": "uh, you know, it's not exactly the same ex written down. I mean, it, it's not, that's really not what's important. And the importance is that you get to the same answer with logic.", "session_id": 8595, "sequence_id": 1749, "annotations": []}
{"role": "volunteer", "content": "So", "session_id": 8595, "sequence_id": 1750, "annotations": []}
{"role": "student", "content": "Right", "session_id": 8595, "sequence_id": 1751, "annotations": []}
{"role": "volunteer", "content": "get hung up. Oh, the book says this, you know, well.", "session_id": 8595, "sequence_id": 1752, "annotations": []}
{"role": "volunteer", "content": "it, it's OK", "session_id": 8595, "sequence_id": 1753, "annotations": []}
{"role": "volunteer", "content": "There's other ways to say it.", "session_id": 8595, "sequence_id": 1754, "annotations": []}
{"role": "student", "content": "Right", "session_id": 8595, "sequence_id": 1755, "annotations": []}
{"role": "volunteer", "content": "All right", "session_id": 8595, "sequence_id": 1756, "annotations": []}
{"role": "student", "content": "OK", "session_id": 8595, "sequence_id": 1757, "annotations": []}
{"role": "volunteer", "content": "Well, I hope you do well and you got an exam coming, right?", "session_id": 8595, "sequence_id": 1758, "annotations": []}
{"role": "student", "content": "Right. It's on tomorrow.", "session_id": 8595, "sequence_id": 1759, "annotations": []}
{"role": "volunteer", "content": "All right. Well", "session_id": 8595, "sequence_id": 1760, "annotations": []}
{"role": "volunteer", "content": "good luck with all of that. You did great.", "session_id": 8595, "sequence_id": 1761, "annotations": []}
{"role": "student", "content": "Thank you", "session_id": 8595, "sequence_id": 1762, "annotations": []}
{"role": "volunteer", "content": "Thanks for hanging through my sloppy", "session_id": 8595, "sequence_id": 1763, "annotations": []}
{"role": "volunteer", "content": "penmanship", "session_id": 8595, "sequence_id": 1764, "annotations": []}
{"role": "student", "content": "No, it's OK", "session_id": 8595, "sequence_id": 1765, "annotations": []}
{"role": "volunteer", "content": "All right", "session_id": 8595, "sequence_id": 1766, "annotations": []}
{"role": "student", "content": "Thanks for your help", "session_id": 8595, "sequence_id": 1767, "annotations": []}
{"role": "volunteer", "content": "You have a great day", "session_id": 8595, "sequence_id": 1768, "annotations": []}
{"role": "student", "content": "Have a good day", "session_id": 8595, "sequence_id": 1769, "annotations": []}
{"role": "volunteer", "content": "Bye-bye.", "session_id": 8595, "sequence_id": 1770, "annotations": []}
{"role": "student", "content": "You too", "session_id": 8595, "sequence_id": 1771, "annotations": []}
{"role": "volunteer", "content": "Hi, how can i help you?", "session_id": 9012, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "Hello. Nice to meet you. Can you hear me?", "session_id": 9012, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "I don't, I cannot hear you.", "session_id": 9012, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "I can hear you \ud83d\udc4d\ud83c\udffe", "session_id": 9012, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "I, um, but I can't hear you.", "session_id": 9012, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "Sorry, my mic doesn\u2019t work well", "session_id": 9012, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "It's OK. Let's do this, let's get started then.", "session_id": 9012, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "Ok \ud83d\udc4d\ud83c\udffe", "session_id": 9012, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "I'll put the question on the board.", "session_id": 9012, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "1 2nd", "session_id": 9012, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "OK", "session_id": 9012, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "Let me put it on the board.", "session_id": 9012, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "Can you see it", "session_id": 9012, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "I can see it", "session_id": 9012, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "OK", "session_id": 9012, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "I", "session_id": 9012, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "So what do I do? How do I solve this?", "session_id": 9012, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "So for this problem, you\u2019d first have to find the corresponding Z-score score. We want the value x such that 4% of items last less than x so P( Z<z)=0.04 which is equal to -1.75", "session_id": 9012, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "Oh.", "session_id": 9012, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "Then you convert the Z-score score into a raw score which would be x = 12 + (-1.75)(2.9).", "session_id": 9012, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "After that, you\u2019d compute: (-1.75)(2.9) = -5.075\nx = 12 - 5.075 = 6.925 is your final answer", "session_id": 9012, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "6.295", "session_id": 9012, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "6.925", "session_id": 9012, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "Exactly", "session_id": 9012, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "I just saw confetti on my screen. What, what was that?", "session_id": 9012, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "It happens when you get an answer correct", "session_id": 9012, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "Wow, that's new. I never I never saw that before.", "session_id": 9012, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "So the answer is 6.925.", "session_id": 9012, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "Yes \ud83d\udc4d\ud83c\udffe", "session_id": 9012, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "OK", "session_id": 9012, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "Awesome", "session_id": 9012, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "Let me put that down.", "session_id": 9012, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "Wait, I want the confetti again.", "session_id": 9012, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "Great \ud83d\udc4d\ud83c\udffe, ok \ud83d\ude02", "session_id": 9012, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "Thank you.", "session_id": 9012, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "No problem", "session_id": 9012, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "OK, let me put the answer.", "session_id": 9012, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "hi", "session_id": 9182, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "how was your day", "session_id": 9182, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "are you a real person or AI", "session_id": 9182, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "I am real person=))", "session_id": 9182, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "why", "session_id": 9182, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "just asking", "session_id": 9182, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "okay do you have questions for me about your math", "session_id": 9182, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "I `-Ready", "session_id": 9182, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "okay can you show a question in board for me", "session_id": 9182, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "can i share my screen", "session_id": 9182, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "I think so", "session_id": 9182, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "if you can't share your screen just take a picture and paste it in a table", "session_id": 9182, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 9182, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "I see it", "session_id": 9182, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "this is my screen", "session_id": 9182, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "it quiz or test?", "session_id": 9182, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "just a lesson", "session_id": 9182, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "not a quiz or test", "session_id": 9182, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 9182, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "just for sure", "session_id": 9182, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "ok call the missing place is x", "session_id": 9182, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "do you see what I writting", "session_id": 9182, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "hi", "session_id": 9182, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "yes", "session_id": 9182, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 9182, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "x/10", "session_id": 9182, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "is also 1/10 time x", "session_id": 9182, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "you will change 1/10 to another side", "session_id": 9182, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "The A is the real denominator.", "session_id": 9182, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 9182, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "4/5 time 1/10 is", "session_id": 9182, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "sorry did not mean to say that", "session_id": 9182, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "it's fine", "session_id": 9182, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "4/5 divide 1/10 is", "session_id": 9182, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "do you have calculator with you", "session_id": 9182, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "yes", "session_id": 9182, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "ok 4/5 divide 1/10", "session_id": 9182, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "can you get that", "session_id": 9182, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "or you need me help", "session_id": 9182, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "yes i got the anwer", "session_id": 9182, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "what is your answere", "session_id": 9182, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "8", "session_id": 9182, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 9182, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "so just put 8 in missing place", "session_id": 9182, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "it is your answer", "session_id": 9182, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "anything else you want to ask me", "session_id": 9182, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "hello", "session_id": 9182, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "hi", "session_id": 9248, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "Hello ,", "session_id": 9248, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "i need help with paralelograms", "session_id": 9248, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "about the areas or perimeters?", "session_id": 9248, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "areas", "session_id": 9248, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "its confusing", "session_id": 9248, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "mr David", "session_id": 9248, "sequence_id": 6, "annotations": [{"pii_type": "PERSON", "surrogate": "David", "start": 3, "end": 8}]}
{"role": "volunteer", "content": "Uh, hi Maria", "session_id": 9248, "sequence_id": 7, "annotations": [{"pii_type": "PERSON", "surrogate": "Maria", "start": 7, "end": 12}]}
{"role": "volunteer", "content": "I just want to explain this to you, uh", "session_id": 9248, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "uh very shortly.", "session_id": 9248, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "to the area of uh parallelogram is found.", "session_id": 9248, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "by multiplying that", "session_id": 9248, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "base at the height. So the diagram I've drawn on the right.", "session_id": 9248, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "uh you can use the height. So we'll multiply 3 times 2.", "session_id": 9248, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "and", "session_id": 9248, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "and", "session_id": 9248, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "and you get 6.", "session_id": 9248, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "So if you sick", "session_id": 9248, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "6 square centimeters.", "session_id": 9248, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "I hope you have understood that.", "session_id": 9248, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "can you say it again please", "session_id": 9248, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "i was puting headphones on", "session_id": 9248, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 9248, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "OK, so, uh, I've drawn, uh, a diagram on the whiteboard.", "session_id": 9248, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "and it shows a parallelogram.", "session_id": 9248, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "So to find the area of", "session_id": 9248, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "uh the parallelogram.", "session_id": 9248, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "we are going to multiply the base.", "session_id": 9248, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "by its height.", "session_id": 9248, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "So when you look at our para parallelogram on the board.", "session_id": 9248, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "the base is 3 and the height is 2.", "session_id": 9248, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "So we multiply 3 by 2.", "session_id": 9248, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "and you get 6 square centimeters. So that is our area", "session_id": 9248, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "ok", "session_id": 9248, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "So the height can sometimes be, be given on this other end, like,", "session_id": 9248, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "uh, we have 2 here.", "session_id": 9248, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "So this land is the same as as at length.", "session_id": 9248, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "this land. So it's still the same. We are going to use 3 and 2. So you must", "session_id": 9248, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "the height and that will give you the area. I think, uh, you've understood it well", "session_id": 9248, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "ok", "session_id": 9248, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "thanks can i try", "session_id": 9248, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "maybe you can draw one and we navigate that together", "session_id": 9248, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "Hi, how can I help?", "session_id": 9320, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "Hii, So I have a test For AP Calc and I need help going over the review question", "session_id": 9320, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "Sounds good. I can help with that. Could you put the question on the board?", "session_id": 9320, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "I meant question(S)", "session_id": 9320, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "But I'll put up the first one here", "session_id": 9320, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "Good idea", "session_id": 9320, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "Do you know how to approach these?", "session_id": 9320, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "Or this one in particular?", "session_id": 9320, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "To be honest I am completely clueless about how to solve these", "session_id": 9320, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "We all start somewhere, that's fine. Do you know how to differentiate a polynomial, like -6x^2+4x-8?", "session_id": 9320, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "yes", "session_id": 9320, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "Do you know how to use chain rule?", "session_id": 9320, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "no", "session_id": 9320, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "Then let's go over that first", "session_id": 9320, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "alright", "session_id": 9320, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "Do you know the formula for chain rule?", "session_id": 9320, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "I don't memeorize it but i do get the idea of it", "session_id": 9320, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "like when to use", "session_id": 9320, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "For your test, and the Math Fundamentals Final exam, it will be a good idea to memorize it. You can use it whenever you see something that you could express in the form of f(g(x)), a function composition.", "session_id": 9320, "sequence_id": 18, "annotations": [{"pii_type": "COURSE", "surrogate": "Math Fundamentals Final", "start": 23, "end": 46}]}
{"role": "volunteer", "content": "For the function in the problem, can you identify the outer and inner functions?", "session_id": 9320, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "yes", "session_id": 9320, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "Let's start there", "session_id": 9320, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "would it look like something like this", "session_id": 9320, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "You're really close", "session_id": 9320, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "The -12x and the 4 are correct, but multiplying them isn't really right", "session_id": 9320, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "Also, I think you missed the 5 in the front", "session_id": 9320, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "Oh wait never mind", "session_id": 9320, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "That part is good", "session_id": 9320, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "I just didn't realize you canceled them already", "session_id": 9320, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 9320, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "But the (-12x)(4) is still not quite right", "session_id": 9320, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "How could we fix it?", "session_id": 9320, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "do i times them to each other?", "session_id": 9320, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "That's what you have here", "session_id": 9320, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "There's one formula that will help: the derivative of f(x)+g(x) is f'(x)+g'(x)", "session_id": 9320, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "Can you identify f and g in the case of -6x^2+4x?", "session_id": 9320, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "I might have confused you a bit with using the same variables for both", "session_id": 9320, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "Those are the outer and inner functions", "session_id": 9320, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "I'll explain with a and b so as not to confuse you", "session_id": 9320, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "The derivative of a(x)+b(x) is a'(x)+b'(x)", "session_id": 9320, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "Can you identify a and b in -6x^2+4x-8?", "session_id": 9320, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "ohh okay", "session_id": 9320, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "Perfect!", "session_id": 9320, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "so then i add them", "session_id": 9320, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "Yes", "session_id": 9320, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "That is right", "session_id": 9320, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "ao it would be -8x", "session_id": 9320, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "Not quite", "session_id": 9320, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "-12x+4 is just -12x+4, you can't combine like terms because 4 doesn't have an x in it", "session_id": 9320, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "-12x+4x would be -8x", "session_id": 9320, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "-12x+4 is just -12x+4", "session_id": 9320, "sequence_id": 50, "annotations": []}
{"role": "student", "content": "okay okay yeah that's true", "session_id": 9320, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "ok so let me simplify it", "session_id": 9320, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "Don't simplify at all, now or on the Geometry Midterm", "session_id": 9320, "sequence_id": 53, "annotations": [{"pii_type": "COURSE", "surrogate": "Geometry Midterm", "start": 37, "end": 53}]}
{"role": "student", "content": "ohh so it's just this then?", "session_id": 9320, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "Yes but with one fix", "session_id": 9320, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "I'll show you", "session_id": 9320, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "Otherwise it looks like you're adding the 4 on afterwards", "session_id": 9320, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "Another way to do it would have been to skip one set of parentheses in the first place (I'll color them red)", "session_id": 9320, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "Or I guess orange", "session_id": 9320, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "But on the Algebra Quiz, don't simplify either numbers or expressions unless it's an MCQ and your answer isn't one of the ones listed", "session_id": 9320, "sequence_id": 60, "annotations": [{"pii_type": "COURSE", "surrogate": "Algebra Quiz", "start": 11, "end": 23}]}
{"role": "volunteer", "content": "*multiple choice question", "session_id": 9320, "sequence_id": 61, "annotations": []}
{"role": "student", "content": "alright", "session_id": 9320, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "Do you want to move on to the second one now?", "session_id": 9320, "sequence_id": 63, "annotations": []}
{"role": "student", "content": "wait but what about the exponent do i leave that to a negative", "session_id": 9320, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "Yes if you want", "session_id": 9320, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "You can also make it a fraction and use the formula a^(-b) = 1/(a^b)", "session_id": 9320, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "But it", "session_id": 9320, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "'s not necessary", "session_id": 9320, "sequence_id": 68, "annotations": []}
{"role": "student", "content": "because i do have the answer key for the review sheet but it simplified it when i just looked at it", "session_id": 9320, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "Are the 2 equivalent?", "session_id": 9320, "sequence_id": 70, "annotations": []}
{"role": "student", "content": "what do you mean", "session_id": 9320, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "Can your answer be simplified to match theirs?", "session_id": 9320, "sequence_id": 72, "annotations": []}
{"role": "student", "content": "yes", "session_id": 9320, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "Then you're good", "session_id": 9320, "sequence_id": 74, "annotations": []}
{"role": "student", "content": "but could you show me how it would look like when i simplify it please", "session_id": 9320, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "Okay, if you want", "session_id": 9320, "sequence_id": 76, "annotations": []}
{"role": "student", "content": "like the process", "session_id": 9320, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "Sure", "session_id": 9320, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "So you have a negative exponent", "session_id": 9320, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "How you would deal with that is make it a fraction", "session_id": 9320, "sequence_id": 80, "annotations": []}
{"role": "student", "content": "make it over 1", "session_id": 9320, "sequence_id": 81, "annotations": []}
{"role": "volunteer", "content": "I think you might be able to figure out the rest", "session_id": 9320, "sequence_id": 82, "annotations": []}
{"role": "volunteer", "content": "You distribute the 2", "session_id": 9320, "sequence_id": 83, "annotations": []}
{"role": "volunteer", "content": "Then put the polynomial in the numerator of the fraciton", "session_id": 9320, "sequence_id": 84, "annotations": []}
{"role": "volunteer", "content": "That might be what's on the answer key", "session_id": 9320, "sequence_id": 85, "annotations": []}
{"role": "student", "content": "yes", "session_id": 9320, "sequence_id": 86, "annotations": []}
{"role": "student", "content": "alright thank youuuu", "session_id": 9320, "sequence_id": 87, "annotations": []}
{"role": "student", "content": "okay let me but the second question", "session_id": 9320, "sequence_id": 88, "annotations": []}
{"role": "volunteer", "content": "Sounds good", "session_id": 9320, "sequence_id": 89, "annotations": []}
{"role": "student", "content": "okay is it like the same thing as the chain rule", "session_id": 9320, "sequence_id": 90, "annotations": []}
{"role": "volunteer", "content": "Yes", "session_id": 9320, "sequence_id": 91, "annotations": []}
{"role": "volunteer", "content": "Exactly right", "session_id": 9320, "sequence_id": 92, "annotations": []}
{"role": "student", "content": "ohh okay", "session_id": 9320, "sequence_id": 93, "annotations": []}
{"role": "student", "content": "that was easier than i thought", "session_id": 9320, "sequence_id": 94, "annotations": []}
{"role": "volunteer", "content": "Good!", "session_id": 9320, "sequence_id": 95, "annotations": []}
{"role": "student", "content": "here is the enxt one", "session_id": 9320, "sequence_id": 96, "annotations": []}
{"role": "student", "content": "same thing?", "session_id": 9320, "sequence_id": 97, "annotations": []}
{"role": "volunteer", "content": "Yes, but you might find a challenge differentiating the inner function without a next step, try though", "session_id": 9320, "sequence_id": 98, "annotations": []}
{"role": "volunteer", "content": "Not quite right", "session_id": 9320, "sequence_id": 99, "annotations": []}
{"role": "student", "content": "wait wait", "session_id": 9320, "sequence_id": 100, "annotations": []}
{"role": "volunteer", "content": "Still not quite", "session_id": 9320, "sequence_id": 101, "annotations": []}
{"role": "student", "content": "yeah i figured", "session_id": 9320, "sequence_id": 102, "annotations": []}
{"role": "volunteer", "content": "I can help if you're confused", "session_id": 9320, "sequence_id": 103, "annotations": []}
{"role": "student", "content": "yes please", "session_id": 9320, "sequence_id": 104, "annotations": []}
{"role": "volunteer", "content": "You were correct to add the parentheses", "session_id": 9320, "sequence_id": 105, "annotations": []}
{"role": "volunteer", "content": "What is the outer function", "session_id": 9320, "sequence_id": 106, "annotations": []}
{"role": "volunteer", "content": "?", "session_id": 9320, "sequence_id": 107, "annotations": []}
{"role": "student", "content": "it's sin^2", "session_id": 9320, "sequence_id": 108, "annotations": []}
{"role": "volunteer", "content": "Yes, but we don't know how to differentiate that", "session_id": 9320, "sequence_id": 109, "annotations": []}
{"role": "volunteer", "content": "What's the outer function within sin^2?", "session_id": 9320, "sequence_id": 110, "annotations": []}
{"role": "student", "content": "sin", "session_id": 9320, "sequence_id": 111, "annotations": []}
{"role": "volunteer", "content": "That's the inner function", "session_id": 9320, "sequence_id": 112, "annotations": []}
{"role": "student", "content": "i am confused", "session_id": 9320, "sequence_id": 113, "annotations": []}
{"role": "student", "content": "confuse by the question? isn't sin^2 one function", "session_id": 9320, "sequence_id": 114, "annotations": []}
{"role": "volunteer", "content": "Yes, sin^2 is one function, but it means (sin(x))^2", "session_id": 9320, "sequence_id": 115, "annotations": []}
{"role": "volunteer", "content": "It is something squared", "session_id": 9320, "sequence_id": 116, "annotations": []}
{"role": "student", "content": "okay", "session_id": 9320, "sequence_id": 117, "annotations": []}
{"role": "volunteer", "content": "What do you think the outer function is for sin^2(x)?", "session_id": 9320, "sequence_id": 118, "annotations": []}
{"role": "student", "content": "sin^2", "session_id": 9320, "sequence_id": 119, "annotations": []}
{"role": "student", "content": "and the x is the inner function", "session_id": 9320, "sequence_id": 120, "annotations": []}
{"role": "volunteer", "content": "That's true but it won't help you", "session_id": 9320, "sequence_id": 121, "annotations": []}
{"role": "volunteer", "content": "What if instead of sin(x)^2 it was (2x+1)^2?", "session_id": 9320, "sequence_id": 122, "annotations": []}
{"role": "student", "content": "then would it be (2x+1)", "session_id": 9320, "sequence_id": 123, "annotations": []}
{"role": "student", "content": "or like an invisible 1", "session_id": 9320, "sequence_id": 124, "annotations": []}
{"role": "volunteer", "content": "2x+1 would be the inner function", "session_id": 9320, "sequence_id": 125, "annotations": []}
{"role": "volunteer", "content": "The outer function is some function w(x) such that w(2x+1)=(2x+1)^2", "session_id": 9320, "sequence_id": 126, "annotations": []}
{"role": "volunteer", "content": "What do you think w(x) could be?", "session_id": 9320, "sequence_id": 127, "annotations": []}
{"role": "volunteer", "content": "Maybe I should give this one to you", "session_id": 9320, "sequence_id": 128, "annotations": []}
{"role": "student", "content": "2x", "session_id": 9320, "sequence_id": 129, "annotations": []}
{"role": "volunteer", "content": "Close", "session_id": 9320, "sequence_id": 130, "annotations": []}
{"role": "volunteer", "content": "If w(x) was 2x, it would be 2(2x+1) not (2x+1)^2", "session_id": 9320, "sequence_id": 131, "annotations": []}
{"role": "student", "content": "ohh maybe x", "session_id": 9320, "sequence_id": 132, "annotations": []}
{"role": "volunteer", "content": "No", "session_id": 9320, "sequence_id": 133, "annotations": []}
{"role": "volunteer", "content": "I might just need to tell you this one", "session_id": 9320, "sequence_id": 134, "annotations": []}
{"role": "student", "content": "yes please", "session_id": 9320, "sequence_id": 135, "annotations": []}
{"role": "volunteer", "content": "x^3", "session_id": 9320, "sequence_id": 136, "annotations": []}
{"role": "volunteer", "content": "^2", "session_id": 9320, "sequence_id": 137, "annotations": []}
{"role": "volunteer", "content": "Sorry, it's x^2, that was a typo", "session_id": 9320, "sequence_id": 138, "annotations": []}
{"role": "volunteer", "content": "If x is replaced with y) for our example, we get (sin(x))^2", "session_id": 9320, "sequence_id": 139, "annotations": []}
{"role": "volunteer", "content": "Which is sin^2(x)", "session_id": 9320, "sequence_id": 140, "annotations": []}
{"role": "volunteer", "content": "For the other example with 2x+1, if we replace x in x^2 with 2x+1, we get (2x+1)^2", "session_id": 9320, "sequence_id": 141, "annotations": []}
{"role": "student", "content": "could you write it on the board so i can visualize it more", "session_id": 9320, "sequence_id": 142, "annotations": []}
{"role": "volunteer", "content": "Does that help?", "session_id": 9320, "sequence_id": 143, "annotations": []}
{"role": "volunteer", "content": "We could try a table if not", "session_id": 9320, "sequence_id": 144, "annotations": []}
{"role": "student", "content": "to be honest not really but it's okay we could move on to the next question just because there is a lot and i don't wanna get stuck on one quesiton", "session_id": 9320, "sequence_id": 145, "annotations": []}
{"role": "volunteer", "content": "Fine", "session_id": 9320, "sequence_id": 146, "annotations": []}
{"role": "volunteer", "content": "I can show you the process if you want instead of just skipping it though", "session_id": 9320, "sequence_id": 147, "annotations": []}
{"role": "student", "content": "sure, ill put it up again", "session_id": 9320, "sequence_id": 148, "annotations": []}
{"role": "volunteer", "content": "I can just do it without it", "session_id": 9320, "sequence_id": 149, "annotations": []}
{"role": "student", "content": "okay", "session_id": 9320, "sequence_id": 150, "annotations": []}
{"role": "volunteer", "content": "Does that make any sense?", "session_id": 9320, "sequence_id": 151, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 9320, "sequence_id": 152, "annotations": []}
{"role": "volunteer", "content": "Good enough then", "session_id": 9320, "sequence_id": 153, "annotations": []}
{"role": "volunteer", "content": "We can move on now", "session_id": 9320, "sequence_id": 154, "annotations": []}
{"role": "student", "content": "alright", "session_id": 9320, "sequence_id": 155, "annotations": []}
{"role": "volunteer", "content": "Although I might have to go soon", "session_id": 9320, "sequence_id": 156, "annotations": []}
{"role": "volunteer", "content": "We can start", "session_id": 9320, "sequence_id": 157, "annotations": []}
{"role": "student", "content": "alright", "session_id": 9320, "sequence_id": 158, "annotations": []}
{"role": "student", "content": "how long you staying?", "session_id": 9320, "sequence_id": 159, "annotations": []}
{"role": "volunteer", "content": "Probably ~10-15 minutes", "session_id": 9320, "sequence_id": 160, "annotations": []}
{"role": "student", "content": "okay", "session_id": 9320, "sequence_id": 161, "annotations": []}
{"role": "student", "content": "so for this i know to trun the sqare into another form idk what it' called", "session_id": 9320, "sequence_id": 162, "annotations": []}
{"role": "student", "content": "so i was stuck here", "session_id": 9320, "sequence_id": 163, "annotations": []}
{"role": "volunteer", "content": "Start with product rule", "session_id": 9320, "sequence_id": 164, "annotations": []}
{"role": "volunteer", "content": "If you're not confident with that I can help", "session_id": 9320, "sequence_id": 165, "annotations": []}
{"role": "student", "content": "i know that one the most", "session_id": 9320, "sequence_id": 166, "annotations": []}
{"role": "volunteer", "content": "Just write d/dx(something) for now", "session_id": 9320, "sequence_id": 167, "annotations": []}
{"role": "volunteer", "content": "We can differentiate later", "session_id": 9320, "sequence_id": 168, "annotations": []}
{"role": "student", "content": "okay", "session_id": 9320, "sequence_id": 169, "annotations": []}
{"role": "student", "content": "wait what do mean by that acutally", "session_id": 9320, "sequence_id": 170, "annotations": []}
{"role": "volunteer", "content": "So normally you might multiply 2x^4 by the derivative of something", "session_id": 9320, "sequence_id": 171, "annotations": []}
{"role": "volunteer", "content": "Now, I want you to just say \"the derivative of this thing will go here later\" and we can do the rest", "session_id": 9320, "sequence_id": 172, "annotations": []}
{"role": "volunteer", "content": "On the next line, we'll go back and differentiate it", "session_id": 9320, "sequence_id": 173, "annotations": []}
{"role": "volunteer", "content": "Are you confident on d/dx notation?", "session_id": 9320, "sequence_id": 174, "annotations": []}
{"role": "student", "content": "what is that", "session_id": 9320, "sequence_id": 175, "annotations": []}
{"role": "volunteer", "content": "If I write d/dx(something) it's the same as saying \"the derivative of [something]\"", "session_id": 9320, "sequence_id": 176, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 9320, "sequence_id": 177, "annotations": []}
{"role": "volunteer", "content": "That's not quite right", "session_id": 9320, "sequence_id": 178, "annotations": []}
{"role": "volunteer", "content": "I maybe should have been a bit clearer", "session_id": 9320, "sequence_id": 179, "annotations": []}
{"role": "volunteer", "content": "Instead of finding g' and writing it, you can just leave it as g' so we can resolve it after", "session_id": 9320, "sequence_id": 180, "annotations": []}
{"role": "volunteer", "content": "As of now, your g' is incorrect", "session_id": 9320, "sequence_id": 181, "annotations": []}
{"role": "student", "content": "so you want me to write this on th board: d/dx=fg'+f'g", "session_id": 9320, "sequence_id": 182, "annotations": []}
{"role": "student", "content": "??", "session_id": 9320, "sequence_id": 183, "annotations": []}
{"role": "volunteer", "content": "No, just do what you normally would except we'll differentiate g later", "session_id": 9320, "sequence_id": 184, "annotations": []}
{"role": "volunteer", "content": "So you do what you normally would but when it's time to expand g' you can literally just keep it as g' until we do that on the next line", "session_id": 9320, "sequence_id": 185, "annotations": []}
{"role": "volunteer", "content": "That way you can do one thing at a time and don't have to try to do chain rule and product rule at the same time", "session_id": 9320, "sequence_id": 186, "annotations": []}
{"role": "student", "content": "i am just doing product rule right now", "session_id": 9320, "sequence_id": 187, "annotations": []}
{"role": "volunteer", "content": "Yes, but g(x) is (2+x^3)^1/2", "session_id": 9320, "sequence_id": 188, "annotations": []}
{"role": "volunteer", "content": "When you try to write g', you'll have to do chain rule", "session_id": 9320, "sequence_id": 189, "annotations": []}
{"role": "volunteer", "content": "We don't want to do both at the same time", "session_id": 9320, "sequence_id": 190, "annotations": []}
{"role": "student", "content": "alright got it", "session_id": 9320, "sequence_id": 191, "annotations": []}
{"role": "volunteer", "content": "I have to go now", "session_id": 9320, "sequence_id": 192, "annotations": []}
{"role": "volunteer", "content": "Sorry", "session_id": 9320, "sequence_id": 193, "annotations": []}
{"role": "volunteer", "content": "Good luck on your exam", "session_id": 9320, "sequence_id": 194, "annotations": []}
{"role": "student", "content": "ohh it's alright thank uuu sooo much", "session_id": 9320, "sequence_id": 195, "annotations": []}
{"role": "volunteer", "content": "Hello!", "session_id": 9501, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "hi", "session_id": 9501, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "I need help", "session_id": 9501, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "with my work", "session_id": 9501, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "Of course!", "session_id": 9501, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "What is it that you are working on?", "session_id": 9501, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "i am working on math", "session_id": 9501, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "here", "session_id": 9501, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "Maria is trying to x\u00f742.\nSince 160\u00f740=4, she estimates the quotient is around 4.\nCheck Maria's estimate. How should she adjust her estimate?\nAdjust Maria's estimate as needed and find the quotient.\n168\u00f742=", "session_id": 9501, "sequence_id": 8, "annotations": [{"pii_type": "PERSON", "surrogate": "Maria", "start": 0, "end": 5}, {"pii_type": "PERSON", "surrogate": "Maria", "start": 87, "end": 92}, {"pii_type": "PERSON", "surrogate": "Maria", "start": 148, "end": 153}]}
{"role": "volunteer", "content": "Okay!", "session_id": 9501, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "can you please write it on the board", "session_id": 9501, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "Well, Oh Lord, la la la la", "session_id": 9501, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "Ah.", "session_id": 9501, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "She cries very man", "session_id": 9501, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "Yeah.", "session_id": 9501, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "my life. Christ be magnified.", "session_id": 9501, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "oh", "session_id": 9501, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "and.", "session_id": 9501, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "and", "session_id": 9501, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "and", "session_id": 9501, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "in.", "session_id": 9501, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "in", "session_id": 9501, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "in", "session_id": 9501, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "me, in, in in in me, in me me me me me me me. I", "session_id": 9501, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "Wow! You like singing!", "session_id": 9501, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "yes", "session_id": 9501, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "Oh, cries", "session_id": 9501, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "me", "session_id": 9501, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "Okay 40 is closer 42", "session_id": 9501, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "of my life.", "session_id": 9501, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "cause my", "session_id": 9501, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "Oh.", "session_id": 9501, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "I feel", "session_id": 9501, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "of my life. Christ be magnified me", "session_id": 9501, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "Oh, cries be magnified.", "session_id": 9501, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "The chair of my", "session_id": 9501, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "life, see.", "session_id": 9501, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "Oh Lord, Lord, Lord, Lord, Lord, Lord, Lord, Lord, do, uh", "session_id": 9501, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "uh.", "session_id": 9501, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "You try to work", "session_id": 9501, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "How to find it. Oh.", "session_id": 9501, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "Uh", "session_id": 9501, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "what", "session_id": 9501, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "Does this make sense?", "session_id": 9501, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "Hi Alex. Welcome to Tutor Provider.", "session_id": 10538, "sequence_id": 0, "annotations": [{"pii_type": "PERSON", "surrogate": "Alex", "start": 3, "end": 7}]}
{"role": "volunteer", "content": "Do you have an assignment or problem you'd like to work on or are you just exploring the platform?", "session_id": 10538, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "hi Mr. Davis .. this is my first time to log on this platform, I do not have good grades at math and I want to improve it", "session_id": 10538, "sequence_id": 2, "annotations": [{"pii_type": "PERSON", "surrogate": "Davis", "start": 7, "end": 12}]}
{"role": "volunteer", "content": "It's great you want to work on improving your understanding! What are you working on now?", "session_id": 10538, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "Plotting negative number including decimal, fraction, and percents", "session_id": 10538, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "OK. We can work on any of those, your choice.", "session_id": 10538, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "Just so you know you can also upload screenshots or photos of problems.", "session_id": 10538, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "Or share your screen.", "session_id": 10538, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "lets first work on plotting decimals", "session_id": 10538, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "Plotting on a graph?", "session_id": 10538, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "A numberline", "session_id": 10538, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "do you understand decimals?", "session_id": 10538, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "kinda", "session_id": 10538, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "Where would you plot 1 1/2?", "session_id": 10538, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "you will use mic or just graph?", "session_id": 10538, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "You want to use voice you mean?", "session_id": 10538, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "I want to listen to the explanation", "session_id": 10538, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "if possible", "session_id": 10538, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "Can you hear me now", "session_id": 10538, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "You can talk too if you turn on your microphone.", "session_id": 10538, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "Uh hello", "session_id": 10538, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "Hi", "session_id": 10538, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "Do you want me to answer the question?", "session_id": 10538, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "Yeah, we're, well, you can just use the pen and mark the point on the pin on the number line.", "session_id": 10538, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "What", "session_id": 10538, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "There's a pen tool", "session_id": 10538, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "it's", "session_id": 10538, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "uh", "session_id": 10538, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "right around here. Looks like a pen or a pencil.", "session_id": 10538, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "You would plot it uh", "session_id": 10538, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "right.", "session_id": 10538, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "Oh I", "session_id": 10538, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "Yeah, yeah. You use the eraser, but that's", "session_id": 10538, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "Yeah, right here.", "session_id": 10538, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "that's it. OK.", "session_id": 10538, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "So", "session_id": 10538, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "what is the decimal for 1. 1.5.", "session_id": 10538, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "1.5.", "session_id": 10538, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "Right.", "session_id": 10538, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "So if they said plot 1.5 on the number line, that's where you applaud it.", "session_id": 10538, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "OK", "session_id": 10538, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "And it's always going to be guessing unless they have the", "session_id": 10538, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "the decimal points marked on the line.", "session_id": 10538, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "But like if they said 2.1.", "session_id": 10538, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "then", "session_id": 10538, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "you might say it's about here.", "session_id": 10538, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "and 3.9 might be around here like that.", "session_id": 10538, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "OK", "session_id": 10538, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "So you, um", "session_id": 10538, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "you said you kind of understand decimals", "session_id": 10538, "sequence_id": 49, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 10538, "sequence_id": 50, "annotations": []}
{"role": "student", "content": "Can you also work on uh negatives.", "session_id": 10538, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "on negatives", "session_id": 10538, "sequence_id": 52, "annotations": []}
{"role": "student", "content": "Yeah, negative decimals.", "session_id": 10538, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "When negative decimals are", "session_id": 10538, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "gonna be, let me move all of this a little bit.", "session_id": 10538, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "and extend the number line.", "session_id": 10538, "sequence_id": 56, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 10538, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "so we need a 0.", "session_id": 10538, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 10538, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "Now, let's see", "session_id": 10538, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "So the negatives", "session_id": 10538, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "are going", "session_id": 10538, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "down from 0, right", "session_id": 10538, "sequence_id": 63, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 10538, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "So", "session_id": 10538, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "like", "session_id": 10538, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "uh, OK.", "session_id": 10538, "sequence_id": 67, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 10538, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "writing.", "session_id": 10538, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "1/2.", "session_id": 10538, "sequence_id": 70, "annotations": []}
{"role": "student", "content": "Mhm", "session_id": 10538, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "Now that would be minus 1/2 and", "session_id": 10538, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "down on the", "session_id": 10538, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "2 and 3 would be minus 2.5.", "session_id": 10538, "sequence_id": 74, "annotations": []}
{"role": "volunteer", "content": "because it's halfway between -2 and -3.", "session_id": 10538, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "or decimals, the same as decimals. So it'd be minus 2.5 minus 1.5", "session_id": 10538, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "and so on", "session_id": 10538, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "because the larger the when it's negative", "session_id": 10538, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "the, the numbers that look larger are smaller, right?", "session_id": 10538, "sequence_id": 79, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 10538, "sequence_id": 80, "annotations": []}
{"role": "volunteer", "content": "So", "session_id": 10538, "sequence_id": 81, "annotations": []}
{"role": "volunteer", "content": "minus 2.5 1.5", "session_id": 10538, "sequence_id": 82, "annotations": []}
{"role": "volunteer", "content": "minus 0.5.", "session_id": 10538, "sequence_id": 83, "annotations": []}
{"role": "student", "content": "Mm", "session_id": 10538, "sequence_id": 84, "annotations": []}
{"role": "volunteer", "content": "So it looks something like that", "session_id": 10538, "sequence_id": 85, "annotations": []}
{"role": "student", "content": "Uh, can you give me one second? I need to go get my headphones.", "session_id": 10538, "sequence_id": 86, "annotations": []}
{"role": "volunteer", "content": "Sure.", "session_id": 10538, "sequence_id": 87, "annotations": []}
{"role": "student", "content": "OK", "session_id": 10538, "sequence_id": 88, "annotations": []}
{"role": "volunteer", "content": "right", "session_id": 10538, "sequence_id": 89, "annotations": []}
{"role": "volunteer", "content": "So does this all make sense?", "session_id": 10538, "sequence_id": 90, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 10538, "sequence_id": 91, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 10538, "sequence_id": 92, "annotations": []}
{"role": "volunteer", "content": "Let's see. What else you", "session_id": 10538, "sequence_id": 93, "annotations": []}
{"role": "volunteer", "content": "uh,", "session_id": 10538, "sequence_id": 94, "annotations": []}
{"role": "volunteer", "content": "you said negative numbers, fractions and percents, oh.", "session_id": 10538, "sequence_id": 95, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 10538, "sequence_id": 96, "annotations": []}
{"role": "volunteer", "content": "So if you take a percent is just a way of", "session_id": 10538, "sequence_id": 97, "annotations": []}
{"role": "volunteer", "content": "talking about any number.", "session_id": 10538, "sequence_id": 98, "annotations": []}
{"role": "volunteer", "content": "It's not something different.", "session_id": 10538, "sequence_id": 99, "annotations": []}
{"role": "volunteer", "content": "and", "session_id": 10538, "sequence_id": 100, "annotations": []}
{"role": "volunteer", "content": "a percent is 0.01 times whatever number you're talking about.", "session_id": 10538, "sequence_id": 101, "annotations": []}
{"role": "student", "content": "Mhm", "session_id": 10538, "sequence_id": 102, "annotations": []}
{"role": "volunteer", "content": "So if our number is", "session_id": 10538, "sequence_id": 103, "annotations": []}
{"role": "volunteer", "content": "1", "session_id": 10538, "sequence_id": 104, "annotations": []}
{"role": "volunteer", "content": "then that makes 100%.", "session_id": 10538, "sequence_id": 105, "annotations": []}
{"role": "volunteer", "content": "and 0.1", "session_id": 10538, "sequence_id": 106, "annotations": []}
{"role": "student", "content": "OK", "session_id": 10538, "sequence_id": 107, "annotations": []}
{"role": "volunteer", "content": "is gonna be what, that's 100 times 0.1.", "session_id": 10538, "sequence_id": 108, "annotations": []}
{"role": "student", "content": "0, 1%", "session_id": 10538, "sequence_id": 109, "annotations": []}
{"role": "volunteer", "content": "Well, at", "session_id": 10538, "sequence_id": 110, "annotations": []}
{"role": "volunteer", "content": "0.1 means a 10th, right?", "session_id": 10538, "sequence_id": 111, "annotations": []}
{"role": "student", "content": "Wait", "session_id": 10538, "sequence_id": 112, "annotations": []}
{"role": "student", "content": "10%", "session_id": 10538, "sequence_id": 113, "annotations": []}
{"role": "volunteer", "content": "Right.", "session_id": 10538, "sequence_id": 114, "annotations": []}
{"role": "volunteer", "content": "So whatever you have on, like, if you had 0.01, that means 1% because you have to multiply it by 100.", "session_id": 10538, "sequence_id": 115, "annotations": []}
{"role": "student", "content": "Mhm", "session_id": 10538, "sequence_id": 116, "annotations": []}
{"role": "volunteer", "content": "And that's uh", "session_id": 10538, "sequence_id": 117, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 10538, "sequence_id": 118, "annotations": []}
{"role": "volunteer", "content": "So if you had, if, if you divided say", "session_id": 10538, "sequence_id": 119, "annotations": []}
{"role": "volunteer", "content": "1/3", "session_id": 10538, "sequence_id": 120, "annotations": []}
{"role": "volunteer", "content": "you get 0.3333.", "session_id": 10538, "sequence_id": 121, "annotations": []}
{"role": "volunteer", "content": "repeating", "session_id": 10538, "sequence_id": 122, "annotations": []}
{"role": "volunteer", "content": "How many% would that be?", "session_id": 10538, "sequence_id": 123, "annotations": []}
{"role": "student", "content": "Uh, 33.3%.", "session_id": 10538, "sequence_id": 124, "annotations": []}
{"role": "volunteer", "content": "Right?", "session_id": 10538, "sequence_id": 125, "annotations": []}
{"role": "volunteer", "content": "You got it", "session_id": 10538, "sequence_id": 126, "annotations": []}
{"role": "volunteer", "content": "So, you know, if it, if you're taking parts of a whole", "session_id": 10538, "sequence_id": 127, "annotations": []}
{"role": "volunteer", "content": "that's often what percents are used for. They mean parts of a whole. So,", "session_id": 10538, "sequence_id": 128, "annotations": []}
{"role": "volunteer", "content": "half of a pizza is going to be 50% and a quarter is going to be 25% and so on.", "session_id": 10538, "sequence_id": 129, "annotations": []}
{"role": "volunteer", "content": "If they say 25% of the people", "session_id": 10538, "sequence_id": 130, "annotations": []}
{"role": "volunteer", "content": "have red hair, then that means 1 quarter.", "session_id": 10538, "sequence_id": 131, "annotations": []}
{"role": "volunteer", "content": "25 out of every 100.", "session_id": 10538, "sequence_id": 132, "annotations": []}
{"role": "student", "content": "Mhm", "session_id": 10538, "sequence_id": 133, "annotations": []}
{"role": "volunteer", "content": "And so to get, if you, if they ask you", "session_id": 10538, "sequence_id": 134, "annotations": []}
{"role": "volunteer", "content": "um", "session_id": 10538, "sequence_id": 135, "annotations": []}
{"role": "volunteer", "content": "this", "session_id": 10538, "sequence_id": 136, "annotations": []}
{"role": "volunteer", "content": "if they ask you like", "session_id": 10538, "sequence_id": 137, "annotations": []}
{"role": "volunteer", "content": "what is", "session_id": 10538, "sequence_id": 138, "annotations": []}
{"role": "volunteer", "content": "5% of 250.", "session_id": 10538, "sequence_id": 139, "annotations": []}
{"role": "volunteer", "content": "you", "session_id": 10538, "sequence_id": 140, "annotations": []}
{"role": "volunteer", "content": "it's the same, it's multiplying", "session_id": 10538, "sequence_id": 141, "annotations": []}
{"role": "volunteer", "content": "point", "session_id": 10538, "sequence_id": 142, "annotations": []}
{"role": "volunteer", "content": "05 times 2", "session_id": 10538, "sequence_id": 143, "annotations": []}
{"role": "volunteer", "content": "50", "session_id": 10538, "sequence_id": 144, "annotations": []}
{"role": "volunteer", "content": "or", "session_id": 10538, "sequence_id": 145, "annotations": []}
{"role": "volunteer", "content": "you can also say", "session_id": 10538, "sequence_id": 146, "annotations": []}
{"role": "volunteer", "content": "5% is 5 divided by 100.", "session_id": 10538, "sequence_id": 147, "annotations": []}
{"role": "volunteer", "content": "So 5.", "session_id": 10538, "sequence_id": 148, "annotations": []}
{"role": "volunteer", "content": "it's 250 divided by 100.", "session_id": 10538, "sequence_id": 149, "annotations": []}
{"role": "volunteer", "content": "So you can either use, sometimes it's easy to use the divided 100.", "session_id": 10538, "sequence_id": 150, "annotations": []}
{"role": "volunteer", "content": "It means the same thing. Sometimes it's easier to just type out on your calculator 0.05.", "session_id": 10538, "sequence_id": 151, "annotations": []}
{"role": "volunteer", "content": "If you, if you look at this problem", "session_id": 10538, "sequence_id": 152, "annotations": []}
{"role": "volunteer", "content": "since I'm multiplied by 100 and divide by 100.", "session_id": 10538, "sequence_id": 153, "annotations": []}
{"role": "volunteer", "content": "I can take off", "session_id": 10538, "sequence_id": 154, "annotations": []}
{"role": "volunteer", "content": "I can take out", "session_id": 10538, "sequence_id": 155, "annotations": []}
{"role": "volunteer", "content": "two of the zeros", "session_id": 10538, "sequence_id": 156, "annotations": []}
{"role": "volunteer", "content": "You can take", "session_id": 10538, "sequence_id": 157, "annotations": []}
{"role": "volunteer", "content": "I can divide that by that.", "session_id": 10538, "sequence_id": 158, "annotations": []}
{"role": "volunteer", "content": "So it means it's 100", "session_id": 10538, "sequence_id": 159, "annotations": []}
{"role": "volunteer", "content": "25", "session_id": 10538, "sequence_id": 160, "annotations": []}
{"role": "volunteer", "content": "5 times 25", "session_id": 10538, "sequence_id": 161, "annotations": []}
{"role": "volunteer", "content": "How are you OK with your multiplication tables?", "session_id": 10538, "sequence_id": 162, "annotations": []}
{"role": "student", "content": "Uh, I'm not the best, but I'm pretty good, I think.", "session_id": 10538, "sequence_id": 163, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 10538, "sequence_id": 164, "annotations": []}
{"role": "volunteer", "content": "Yeah, that's one where you can have fun and learn at the same time by finding a good game that.", "session_id": 10538, "sequence_id": 165, "annotations": []}
{"role": "volunteer", "content": "you do your multiplication tables.", "session_id": 10538, "sequence_id": 166, "annotations": []}
{"role": "volunteer", "content": "like shooting down the alien spaceships if you get the right answer. It go as fast as you can.", "session_id": 10538, "sequence_id": 167, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 10538, "sequence_id": 168, "annotations": []}
{"role": "volunteer", "content": "because a lot of these problems, you'll see things like 5:25 and you'll just know", "session_id": 10538, "sequence_id": 169, "annotations": []}
{"role": "volunteer", "content": "from practice", "session_id": 10538, "sequence_id": 170, "annotations": []}
{"role": "volunteer", "content": "what it is", "session_id": 10538, "sequence_id": 171, "annotations": []}
{"role": "volunteer", "content": "Anyway, so that's percents.", "session_id": 10538, "sequence_id": 172, "annotations": []}
{"role": "volunteer", "content": "They can ask you what's 5% of something, or they can ask you.", "session_id": 10538, "sequence_id": 173, "annotations": []}
{"role": "volunteer", "content": "what percent, let me type that another problem. So what you saying?", "session_id": 10538, "sequence_id": 174, "annotations": []}
{"role": "volunteer", "content": "it said 14 students.", "session_id": 10538, "sequence_id": 175, "annotations": []}
{"role": "volunteer", "content": "kind of pencils", "session_id": 10538, "sequence_id": 176, "annotations": []}
{"role": "volunteer", "content": "of 24.", "session_id": 10538, "sequence_id": 177, "annotations": []}
{"role": "volunteer", "content": "OK, can you answer that one?", "session_id": 10538, "sequence_id": 178, "annotations": []}
{"role": "student", "content": "shouldn't have", "session_id": 10538, "sequence_id": 179, "annotations": []}
{"role": "student", "content": "24.", "session_id": 10538, "sequence_id": 180, "annotations": []}
{"role": "student", "content": "of pencils.", "session_id": 10538, "sequence_id": 181, "annotations": []}
{"role": "student", "content": "Um,", "session_id": 10538, "sequence_id": 182, "annotations": []}
{"role": "student", "content": "7%?", "session_id": 10538, "sequence_id": 183, "annotations": []}
{"role": "volunteer", "content": "Um, no. What, how did you do it? What did you do first?", "session_id": 10538, "sequence_id": 184, "annotations": []}
{"role": "student", "content": "I don't know. I just don't understand it.", "session_id": 10538, "sequence_id": 185, "annotations": []}
{"role": "volunteer", "content": "OK, yeah, so, yes, don't guess.", "session_id": 10538, "sequence_id": 186, "annotations": []}
{"role": "student", "content": "you know", "session_id": 10538, "sequence_id": 187, "annotations": []}
{"role": "volunteer", "content": "You would, you're looking for a fraction.", "session_id": 10538, "sequence_id": 188, "annotations": []}
{"role": "volunteer", "content": "The fraction would be 14 divided by 24, right?", "session_id": 10538, "sequence_id": 189, "annotations": []}
{"role": "student", "content": "Mhm", "session_id": 10538, "sequence_id": 190, "annotations": []}
{"role": "volunteer", "content": "So 14", "session_id": 10538, "sequence_id": 191, "annotations": []}
{"role": "volunteer", "content": "let's see, 14 divided by 24 is 7", "session_id": 10538, "sequence_id": 192, "annotations": []}
{"role": "volunteer", "content": "divided by 12", "session_id": 10538, "sequence_id": 193, "annotations": []}
{"role": "student", "content": "Good.", "session_id": 10538, "sequence_id": 194, "annotations": []}
{"role": "volunteer", "content": "and I would use my calculators to go fast, sell them to.", "session_id": 10538, "sequence_id": 195, "annotations": []}
{"role": "volunteer", "content": "by 12 is 0.58.", "session_id": 10538, "sequence_id": 196, "annotations": []}
{"role": "volunteer", "content": "So if you do the division", "session_id": 10538, "sequence_id": 197, "annotations": []}
{"role": "volunteer", "content": "it's 0.58.", "session_id": 10538, "sequence_id": 198, "annotations": []}
{"role": "student", "content": "Oh.", "session_id": 10538, "sequence_id": 199, "annotations": []}
{"role": "volunteer", "content": "So what percentage? That's not the answer, that's the fraction. What percent is that?", "session_id": 10538, "sequence_id": 200, "annotations": []}
{"role": "volunteer", "content": "Remember you just multiplied by 100.", "session_id": 10538, "sequence_id": 201, "annotations": []}
{"role": "volunteer", "content": "You still there", "session_id": 10538, "sequence_id": 202, "annotations": []}
{"role": "student", "content": "Can we get one more example?", "session_id": 10538, "sequence_id": 203, "annotations": []}
{"role": "volunteer", "content": "Yeah, well, let's finish this one.", "session_id": 10538, "sequence_id": 204, "annotations": []}
{"role": "volunteer", "content": "If, if 14/24 is 0.58. What percent is that?", "session_id": 10538, "sequence_id": 205, "annotations": []}
{"role": "student", "content": "58%", "session_id": 10538, "sequence_id": 206, "annotations": []}
{"role": "volunteer", "content": "Right, OK", "session_id": 10538, "sequence_id": 207, "annotations": []}
{"role": "volunteer", "content": "One more example. Basically, you can just change the numbers and", "session_id": 10538, "sequence_id": 208, "annotations": []}
{"role": "student", "content": "How do you con how do you convert fractions to uh decimals or percentages.", "session_id": 10538, "sequence_id": 209, "annotations": []}
{"role": "volunteer", "content": "Well, can you, are you talking about doing it on paper, or with a calculator?", "session_id": 10538, "sequence_id": 210, "annotations": []}
{"role": "student", "content": "Oh, paper.", "session_id": 10538, "sequence_id": 211, "annotations": []}
{"role": "volunteer", "content": "Do you do long division", "session_id": 10538, "sequence_id": 212, "annotations": []}
{"role": "student", "content": "I do", "session_id": 10538, "sequence_id": 213, "annotations": []}
{"role": "student", "content": "can", "session_id": 10538, "sequence_id": 214, "annotations": []}
{"role": "volunteer", "content": "OK, so you just, you divide.", "session_id": 10538, "sequence_id": 215, "annotations": []}
{"role": "volunteer", "content": "and then multiply by 100", "session_id": 10538, "sequence_id": 216, "annotations": []}
{"role": "student", "content": "buy the multiply 100. OK.", "session_id": 10538, "sequence_id": 217, "annotations": []}
{"role": "student", "content": "Mhm", "session_id": 10538, "sequence_id": 218, "annotations": []}
{"role": "volunteer", "content": "So if we do", "session_id": 10538, "sequence_id": 219, "annotations": []}
{"role": "volunteer", "content": "what's the percent of 1/14?", "session_id": 10538, "sequence_id": 220, "annotations": []}
{"role": "student", "content": "Prea of 1/14.", "session_id": 10538, "sequence_id": 221, "annotations": []}
{"role": "volunteer", "content": "Divide 1 by 14.", "session_id": 10538, "sequence_id": 222, "annotations": []}
{"role": "student", "content": "OK", "session_id": 10538, "sequence_id": 223, "annotations": []}
{"role": "volunteer", "content": "right", "session_id": 10538, "sequence_id": 224, "annotations": []}
{"role": "student", "content": "Wait, one divided by 14?", "session_id": 10538, "sequence_id": 225, "annotations": []}
{"role": "student", "content": "0.", "session_id": 10538, "sequence_id": 226, "annotations": []}
{"role": "student", "content": "0714.", "session_id": 10538, "sequence_id": 227, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 10538, "sequence_id": 228, "annotations": []}
{"role": "volunteer", "content": "You didn't do that on paper though, did you?", "session_id": 10538, "sequence_id": 229, "annotations": []}
{"role": "volunteer", "content": "No.", "session_id": 10538, "sequence_id": 230, "annotations": []}
{"role": "student", "content": "No, I use my calculator.", "session_id": 10538, "sequence_id": 231, "annotations": []}
{"role": "student", "content": "Yeah.", "session_id": 10538, "sequence_id": 232, "annotations": []}
{"role": "volunteer", "content": "But you could. It would take a while.", "session_id": 10538, "sequence_id": 233, "annotations": []}
{"role": "volunteer", "content": "So, so you've got the 0.0714, you multiply that by 100, so you just move the decimal 0.2 to the right.", "session_id": 10538, "sequence_id": 234, "annotations": []}
{"role": "volunteer", "content": "So it's 7.1.", "session_id": 10538, "sequence_id": 235, "annotations": []}
{"role": "volunteer", "content": "7.14%", "session_id": 10538, "sequence_id": 236, "annotations": []}
{"role": "student", "content": "So", "session_id": 10538, "sequence_id": 237, "annotations": []}
{"role": "student", "content": "OK", "session_id": 10538, "sequence_id": 238, "annotations": []}
{"role": "volunteer", "content": "Now, some of them", "session_id": 10538, "sequence_id": 239, "annotations": []}
{"role": "volunteer", "content": "some of them you", "session_id": 10538, "sequence_id": 240, "annotations": []}
{"role": "volunteer", "content": "just can know automatically, like what's 11 half, how many is that?", "session_id": 10538, "sequence_id": 241, "annotations": []}
{"role": "student", "content": "1/2, that's 50%.", "session_id": 10538, "sequence_id": 242, "annotations": []}
{"role": "volunteer", "content": "Right? And what's 1 quarter?", "session_id": 10538, "sequence_id": 243, "annotations": []}
{"role": "student", "content": "25%?", "session_id": 10538, "sequence_id": 244, "annotations": []}
{"role": "volunteer", "content": "and 15th", "session_id": 10538, "sequence_id": 245, "annotations": []}
{"role": "student", "content": "Um, 20%.", "session_id": 10538, "sequence_id": 246, "annotations": []}
{"role": "volunteer", "content": "Good. Um,", "session_id": 10538, "sequence_id": 247, "annotations": []}
{"role": "volunteer", "content": "and of course, 1/10 is 10%.", "session_id": 10538, "sequence_id": 248, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 10538, "sequence_id": 249, "annotations": []}
{"role": "volunteer", "content": "So you also see then, then, so what's 120th?", "session_id": 10538, "sequence_id": 250, "annotations": []}
{"role": "student", "content": "5%", "session_id": 10538, "sequence_id": 251, "annotations": []}
{"role": "volunteer", "content": "Good", "session_id": 10538, "sequence_id": 252, "annotations": []}
{"role": "volunteer", "content": "Now, that's, so you've got a good set of benchmarks there's for estimating and then you can learn", "session_id": 10538, "sequence_id": 253, "annotations": []}
{"role": "volunteer", "content": "that 16", "session_id": 10538, "sequence_id": 254, "annotations": []}
{"role": "volunteer", "content": "because once 1/6 is 1 is 0.16666, right?", "session_id": 10538, "sequence_id": 255, "annotations": []}
{"role": "volunteer", "content": "Let me write it down. I don't want you to get all confused, but", "session_id": 10538, "sequence_id": 256, "annotations": []}
{"role": "volunteer", "content": "16 equals 0.16666 equals", "session_id": 10538, "sequence_id": 257, "annotations": []}
{"role": "student", "content": "OK", "session_id": 10538, "sequence_id": 258, "annotations": []}
{"role": "volunteer", "content": "16, but I say you can remember 16, but it's closer to 17%.", "session_id": 10538, "sequence_id": 259, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 10538, "sequence_id": 260, "annotations": []}
{"role": "volunteer", "content": "17 we just figured out is 14%.", "session_id": 10538, "sequence_id": 261, "annotations": []}
{"role": "volunteer", "content": "1 point, what was it? 1.", "session_id": 10538, "sequence_id": 262, "annotations": []}
{"role": "volunteer", "content": "4142", "session_id": 10538, "sequence_id": 263, "annotations": []}
{"role": "volunteer", "content": "But it's roughly", "session_id": 10538, "sequence_id": 264, "annotations": []}
{"role": "volunteer", "content": "but these are just rough estimations.", "session_id": 10538, "sequence_id": 265, "annotations": []}
{"role": "volunteer", "content": "18 is 0.125.", "session_id": 10538, "sequence_id": 266, "annotations": []}
{"role": "volunteer", "content": "And so if you have those, you can kinda quickly do some calculations.", "session_id": 10538, "sequence_id": 267, "annotations": []}
{"role": "student", "content": "Mhm", "session_id": 10538, "sequence_id": 268, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 10538, "sequence_id": 269, "annotations": []}
{"role": "volunteer", "content": "because 7 and 14 go together, right? 2 x 7 is 14, so you can remember when 7 is 14, and the 6th", "session_id": 10538, "sequence_id": 270, "annotations": []}
{"role": "volunteer", "content": "16th.", "session_id": 10538, "sequence_id": 271, "annotations": []}
{"role": "student", "content": "Mm.", "session_id": 10538, "sequence_id": 272, "annotations": []}
{"role": "volunteer", "content": "That means 16th is also 6%. OK, so those are the percents. If you can divide then the percents aren't hard.", "session_id": 10538, "sequence_id": 273, "annotations": []}
{"role": "volunteer", "content": "Just move that decimal point.", "session_id": 10538, "sequence_id": 274, "annotations": []}
{"role": "student", "content": "OK", "session_id": 10538, "sequence_id": 275, "annotations": []}
{"role": "student", "content": "divide", "session_id": 10538, "sequence_id": 276, "annotations": []}
{"role": "student", "content": "wait", "session_id": 10538, "sequence_id": 277, "annotations": []}
{"role": "student", "content": "What do you want me to do?", "session_id": 10538, "sequence_id": 278, "annotations": []}
{"role": "volunteer", "content": "Oh, no, I was, I was, didn't have a question.", "session_id": 10538, "sequence_id": 279, "annotations": []}
{"role": "student", "content": "Oh.", "session_id": 10538, "sequence_id": 280, "annotations": []}
{"role": "volunteer", "content": "It's your turn. Do you have a question?", "session_id": 10538, "sequence_id": 281, "annotations": []}
{"role": "student", "content": "Uh,", "session_id": 10538, "sequence_id": 282, "annotations": []}
{"role": "volunteer", "content": "Yeah.", "session_id": 10538, "sequence_id": 283, "annotations": []}
{"role": "student", "content": "no. Can you, can we also work on something else, uh, like, like absolute value.", "session_id": 10538, "sequence_id": 284, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 10538, "sequence_id": 285, "annotations": []}
{"role": "volunteer", "content": "Let's erase this. and let's, we don't have to erase it, we can go down. I'm gonna scroll down.", "session_id": 10538, "sequence_id": 286, "annotations": []}
{"role": "volunteer", "content": "So", "session_id": 10538, "sequence_id": 287, "annotations": []}
{"role": "volunteer", "content": "an absolute value.", "session_id": 10538, "sequence_id": 288, "annotations": []}
{"role": "volunteer", "content": "is", "session_id": 10538, "sequence_id": 289, "annotations": []}
{"role": "volunteer", "content": "a number without any direction.", "session_id": 10538, "sequence_id": 290, "annotations": []}
{"role": "student", "content": "I", "session_id": 10538, "sequence_id": 291, "annotations": []}
{"role": "volunteer", "content": "The number line", "session_id": 10538, "sequence_id": 292, "annotations": []}
{"role": "volunteer", "content": "on a number line", "session_id": 10538, "sequence_id": 293, "annotations": []}
{"role": "volunteer", "content": "the numbers are either below or above.", "session_id": 10538, "sequence_id": 294, "annotations": []}
{"role": "volunteer", "content": "0, right", "session_id": 10538, "sequence_id": 295, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 10538, "sequence_id": 296, "annotations": []}
{"role": "volunteer", "content": "So we have minus", "session_id": 10538, "sequence_id": 297, "annotations": []}
{"role": "volunteer", "content": "4, -3", "session_id": 10538, "sequence_id": 298, "annotations": []}
{"role": "volunteer", "content": "-2", "session_id": 10538, "sequence_id": 299, "annotations": []}
{"role": "student", "content": "suspension", "session_id": 10538, "sequence_id": 300, "annotations": []}
{"role": "student", "content": "Oh, sorry.", "session_id": 10538, "sequence_id": 301, "annotations": []}
{"role": "volunteer", "content": "1", "session_id": 10538, "sequence_id": 302, "annotations": []}
{"role": "volunteer", "content": "That's OK", "session_id": 10538, "sequence_id": 303, "annotations": []}
{"role": "student", "content": "I", "session_id": 10538, "sequence_id": 304, "annotations": []}
{"role": "volunteer", "content": "1", "session_id": 10538, "sequence_id": 305, "annotations": []}
{"role": "student", "content": "E.", "session_id": 10538, "sequence_id": 306, "annotations": []}
{"role": "volunteer", "content": "OK, so", "session_id": 10538, "sequence_id": 307, "annotations": []}
{"role": "student", "content": "uh.", "session_id": 10538, "sequence_id": 308, "annotations": []}
{"role": "volunteer", "content": "so", "session_id": 10538, "sequence_id": 309, "annotations": []}
{"role": "volunteer", "content": "3", "session_id": 10538, "sequence_id": 310, "annotations": []}
{"role": "volunteer", "content": "is", "session_id": 10538, "sequence_id": 311, "annotations": []}
{"role": "student", "content": "and", "session_id": 10538, "sequence_id": 312, "annotations": []}
{"role": "volunteer", "content": "a distance of 3 in one direction, right?", "session_id": 10538, "sequence_id": 313, "annotations": []}
{"role": "student", "content": "OK", "session_id": 10538, "sequence_id": 314, "annotations": []}
{"role": "volunteer", "content": "And -3", "session_id": 10538, "sequence_id": 315, "annotations": []}
{"role": "volunteer", "content": "is", "session_id": 10538, "sequence_id": 316, "annotations": []}
{"role": "volunteer", "content": "the same distance, but in the opposite direction.", "session_id": 10538, "sequence_id": 317, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 10538, "sequence_id": 318, "annotations": []}
{"role": "volunteer", "content": "And if you add them up, you get 0. There's 31 way and 3 the other way, you get 0.", "session_id": 10538, "sequence_id": 319, "annotations": []}
{"role": "volunteer", "content": "The absolute value means just how far it is, how great it is without any.", "session_id": 10538, "sequence_id": 320, "annotations": []}
{"role": "volunteer", "content": "infection.", "session_id": 10538, "sequence_id": 321, "annotations": []}
{"role": "student", "content": "I.", "session_id": 10538, "sequence_id": 322, "annotations": []}
{"role": "volunteer", "content": "without any signs", "session_id": 10538, "sequence_id": 323, "annotations": []}
{"role": "student", "content": "OK", "session_id": 10538, "sequence_id": 324, "annotations": []}
{"role": "volunteer", "content": "So the sign absolute value of minus 5 is 5.", "session_id": 10538, "sequence_id": 325, "annotations": []}
{"role": "volunteer", "content": "and the absolute value of 5 is 5.", "session_id": 10538, "sequence_id": 326, "annotations": []}
{"role": "volunteer", "content": "Yeah.", "session_id": 10538, "sequence_id": 327, "annotations": []}
{"role": "student", "content": "Uh, can you give me one second?", "session_id": 10538, "sequence_id": 328, "annotations": []}
{"role": "volunteer", "content": "Hm", "session_id": 10538, "sequence_id": 329, "annotations": []}
{"role": "student", "content": "Oh, OK, I'm back.", "session_id": 10538, "sequence_id": 330, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 10538, "sequence_id": 331, "annotations": []}
{"role": "volunteer", "content": "So for example,", "session_id": 10538, "sequence_id": 332, "annotations": []}
{"role": "volunteer", "content": "what if you're", "session_id": 10538, "sequence_id": 333, "annotations": []}
{"role": "volunteer", "content": "putting bags into a cart.", "session_id": 10538, "sequence_id": 334, "annotations": []}
{"role": "volunteer", "content": "If you put in", "session_id": 10538, "sequence_id": 335, "annotations": []}
{"role": "volunteer", "content": "if you put in", "session_id": 10538, "sequence_id": 336, "annotations": []}
{"role": "volunteer", "content": "5 bags, and then you take out 5 bags.", "session_id": 10538, "sequence_id": 337, "annotations": []}
{"role": "volunteer", "content": "What's the overall effect?", "session_id": 10538, "sequence_id": 338, "annotations": []}
{"role": "student", "content": "0", "session_id": 10538, "sequence_id": 339, "annotations": []}
{"role": "volunteer", "content": "0. But I couldn't say you didn't, you did zero work.", "session_id": 10538, "sequence_id": 340, "annotations": []}
{"role": "volunteer", "content": "because the work you did is like the absolute value of", "session_id": 10538, "sequence_id": 341, "annotations": []}
{"role": "volunteer", "content": "carrying the bags, whether you're going one direction or the other direction.", "session_id": 10538, "sequence_id": 342, "annotations": []}
{"role": "volunteer", "content": "So", "session_id": 10538, "sequence_id": 343, "annotations": []}
{"role": "volunteer", "content": "sometimes you want to use the actual number.", "session_id": 10538, "sequence_id": 344, "annotations": []}
{"role": "volunteer", "content": "That's when you add up things, um, to find out the overall result.", "session_id": 10538, "sequence_id": 345, "annotations": []}
{"role": "volunteer", "content": "But if you're just looking at", "session_id": 10538, "sequence_id": 346, "annotations": []}
{"role": "volunteer", "content": "how much was done", "session_id": 10538, "sequence_id": 347, "annotations": []}
{"role": "volunteer", "content": "Like if you drive from where you live to Springfield, and then you drive back", "session_id": 10538, "sequence_id": 348, "annotations": [{"pii_type": "LOCATION", "surrogate": "Springfield", "start": 41, "end": 52}]}
{"role": "volunteer", "content": "the overall result is 0.", "session_id": 10538, "sequence_id": 349, "annotations": []}
{"role": "volunteer", "content": "but you drove the absolute value of 1000 miles and then you rove the absolute value of minus 1000 miles, so it's still 2000 miles.", "session_id": 10538, "sequence_id": 350, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 10538, "sequence_id": 351, "annotations": []}
{"role": "volunteer", "content": "That's the usefulness of them. But all you have to remember for your class for now is that", "session_id": 10538, "sequence_id": 352, "annotations": []}
{"role": "volunteer", "content": "the absolute values are always the positive number.", "session_id": 10538, "sequence_id": 353, "annotations": []}
{"role": "volunteer", "content": "of a positive or negative number.", "session_id": 10538, "sequence_id": 354, "annotations": []}
{"role": "volunteer", "content": "Does that make sense?", "session_id": 10538, "sequence_id": 355, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 10538, "sequence_id": 356, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 10538, "sequence_id": 357, "annotations": []}
{"role": "volunteer", "content": "An absolute value of zero is also 0.", "session_id": 10538, "sequence_id": 358, "annotations": []}
{"role": "student", "content": "Mhm", "session_id": 10538, "sequence_id": 359, "annotations": []}
{"role": "volunteer", "content": "Now it seem like you're really catching up. I think you know more than you think.", "session_id": 10538, "sequence_id": 360, "annotations": []}
{"role": "student", "content": "Thank you", "session_id": 10538, "sequence_id": 361, "annotations": []}
{"role": "volunteer", "content": "What kind of trouble do you think you're having? You said you were having trouble in math.", "session_id": 10538, "sequence_id": 362, "annotations": []}
{"role": "student", "content": "It's just", "session_id": 10538, "sequence_id": 363, "annotations": []}
{"role": "student", "content": "um, sometimes I get messed up with uh", "session_id": 10538, "sequence_id": 364, "annotations": []}
{"role": "student", "content": "like questions because", "session_id": 10538, "sequence_id": 365, "annotations": []}
{"role": "student", "content": "it's like I don't process it all the way and I can't like understand it fully, so I do half of it.", "session_id": 10538, "sequence_id": 366, "annotations": []}
{"role": "volunteer", "content": "Is it, is it more word problems or just the number problems?", "session_id": 10538, "sequence_id": 367, "annotations": []}
{"role": "student", "content": "It's like", "session_id": 10538, "sequence_id": 368, "annotations": []}
{"role": "student", "content": "my last quiz, it was like something like with negative and positives.", "session_id": 10538, "sequence_id": 369, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 10538, "sequence_id": 370, "annotations": []}
{"role": "volunteer", "content": "Right.", "session_id": 10538, "sequence_id": 371, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 10538, "sequence_id": 372, "annotations": []}
{"role": "student", "content": "It included fractions, decimals, and percentages, and with with negative numbers, it's a label all of those from least to greatest.", "session_id": 10538, "sequence_id": 373, "annotations": []}
{"role": "volunteer", "content": "Do you think you could answer them pretty well now?", "session_id": 10538, "sequence_id": 374, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 10538, "sequence_id": 375, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 10538, "sequence_id": 376, "annotations": []}
{"role": "volunteer", "content": "Well, that's good", "session_id": 10538, "sequence_id": 377, "annotations": []}
{"role": "volunteer", "content": "So with this platform Uchie, we have people 24/7", "session_id": 10538, "sequence_id": 378, "annotations": []}
{"role": "volunteer", "content": "Now, it might be hard to find somebody at midnight on Sunday, but I don't know. You can try.", "session_id": 10538, "sequence_id": 379, "annotations": []}
{"role": "volunteer", "content": "We also have", "session_id": 10538, "sequence_id": 380, "annotations": []}
{"role": "volunteer", "content": "you see that little green person in the menu.", "session_id": 10538, "sequence_id": 381, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 10538, "sequence_id": 382, "annotations": []}
{"role": "volunteer", "content": "If you click on it, I'll click on it for you, and you can also click on it and see. You can ask questions like", "session_id": 10538, "sequence_id": 383, "annotations": []}
{"role": "volunteer", "content": "explain", "session_id": 10538, "sequence_id": 384, "annotations": []}
{"role": "volunteer", "content": "Come on, it's supposed to be faster than this. There you go.", "session_id": 10538, "sequence_id": 385, "annotations": []}
{"role": "student", "content": "Oh", "session_id": 10538, "sequence_id": 386, "annotations": []}
{"role": "student", "content": "gave a whole", "session_id": 10538, "sequence_id": 387, "annotations": []}
{"role": "student", "content": "us.", "session_id": 10538, "sequence_id": 388, "annotations": []}
{"role": "volunteer", "content": "Usually you won't have trouble in the day getting", "session_id": 10538, "sequence_id": 389, "annotations": []}
{"role": "volunteer", "content": "a coach because there are lots of people waiting.", "session_id": 10538, "sequence_id": 390, "annotations": []}
{"role": "volunteer", "content": "But if you do have to wait, you can use this bot", "session_id": 10538, "sequence_id": 391, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 10538, "sequence_id": 392, "annotations": []}
{"role": "volunteer", "content": "It, it'll even give you examples. Yes, I say, yes, give me.", "session_id": 10538, "sequence_id": 393, "annotations": []}
{"role": "volunteer", "content": "one problem", "session_id": 10538, "sequence_id": 394, "annotations": []}
{"role": "volunteer", "content": "Whoa", "session_id": 10538, "sequence_id": 395, "annotations": []}
{"role": "student", "content": "OK", "session_id": 10538, "sequence_id": 396, "annotations": []}
{"role": "volunteer", "content": "Now you have to do two things. Find the value of absolute value of -7 + 4. What would that be?", "session_id": 10538, "sequence_id": 397, "annotations": []}
{"role": "student", "content": "That'll be", "session_id": 10538, "sequence_id": 398, "annotations": []}
{"role": "student", "content": "11", "session_id": 10538, "sequence_id": 399, "annotations": []}
{"role": "volunteer", "content": "Right", "session_id": 10538, "sequence_id": 400, "annotations": []}
{"role": "volunteer", "content": "So I'll", "session_id": 10538, "sequence_id": 401, "annotations": []}
{"role": "volunteer", "content": "just type in 11", "session_id": 10538, "sequence_id": 402, "annotations": []}
{"role": "volunteer", "content": "and I'll put a question mark because we're not sure and and see what it says.", "session_id": 10538, "sequence_id": 403, "annotations": []}
{"role": "volunteer", "content": "Actually, I wrote the absolute value x, which is also true.", "session_id": 10538, "sequence_id": 404, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 10538, "sequence_id": 405, "annotations": []}
{"role": "volunteer", "content": "So anything else you want to work on right now?", "session_id": 10538, "sequence_id": 406, "annotations": []}
{"role": "volunteer", "content": "OK.", "session_id": 10538, "sequence_id": 407, "annotations": []}
{"role": "student", "content": "Uh, no. That's all.", "session_id": 10538, "sequence_id": 408, "annotations": []}
{"role": "volunteer", "content": "See, if you have a quiz like that or if you have a worksheet before your test.", "session_id": 10538, "sequence_id": 409, "annotations": []}
{"role": "volunteer", "content": "then you can upload it to the screen here, the board.", "session_id": 10538, "sequence_id": 410, "annotations": []}
{"role": "volunteer", "content": "and we can look at your", "session_id": 10538, "sequence_id": 411, "annotations": []}
{"role": "volunteer", "content": "answers you got right, the answers you got wrong, and work on them.", "session_id": 10538, "sequence_id": 412, "annotations": []}
{"role": "student", "content": "OK", "session_id": 10538, "sequence_id": 413, "annotations": []}
{"role": "volunteer", "content": "Get you ready for the next one.", "session_id": 10538, "sequence_id": 414, "annotations": []}
{"role": "student", "content": "OK, thank you", "session_id": 10538, "sequence_id": 415, "annotations": []}
{"role": "volunteer", "content": "OK. Have a good day.", "session_id": 10538, "sequence_id": 416, "annotations": []}
{"role": "volunteer", "content": "Bye", "session_id": 10538, "sequence_id": 417, "annotations": []}
{"role": "student", "content": "Should I click uh end session.", "session_id": 10538, "sequence_id": 418, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 10538, "sequence_id": 419, "annotations": []}
{"role": "student", "content": "OK", "session_id": 10538, "sequence_id": 420, "annotations": []}
{"role": "volunteer", "content": "Hey, I'm Emily, how are you?", "session_id": 11236, "sequence_id": 0, "annotations": [{"pii_type": "PERSON", "surrogate": "Emily", "start": 9, "end": 14}]}
{"role": "student", "content": "Hello! I a doing well. How are you?", "session_id": 11236, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "I'm doing good, let's break this question down.", "session_id": 11236, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "Do you know what 35 - x represents here?", "session_id": 11236, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "Well 35 is the amount of time Sarah will use, and x how much faster Sarah can wash the car. Maybe the fractional part of the job that she completes?", "session_id": 11236, "sequence_id": 4, "annotations": [{"pii_type": "PERSON", "surrogate": "Sarah", "start": 30, "end": 35}, {"pii_type": "PERSON", "surrogate": "Sarah", "start": 68, "end": 73}]}
{"role": "volunteer", "content": "Great! Not exactly, the fractional part of the job, since we are just looking at the denominator, but almost. \n\nIf Sarah takes 35 minutes, and David is faster than Sarah by x minutes. Then David can do it 35 - x minutes.", "session_id": 11236, "sequence_id": 5, "annotations": [{"pii_type": "PERSON", "surrogate": "Sarah", "start": 115, "end": 120}, {"pii_type": "PERSON", "surrogate": "David", "start": 143, "end": 148}, {"pii_type": "PERSON", "surrogate": "Sarah", "start": 164, "end": 169}, {"pii_type": "PERSON", "surrogate": "David", "start": 189, "end": 194}]}
{"role": "volunteer", "content": "So Sarah can wash a car in 35 minutes, and David can in 35 - x minutes right?\n\nIf you want any clarification on anything throughout this session please let me know as well!", "session_id": 11236, "sequence_id": 6, "annotations": [{"pii_type": "PERSON", "surrogate": "Sarah", "start": 3, "end": 8}, {"pii_type": "PERSON", "surrogate": "David", "start": 43, "end": 48}]}
{"role": "student", "content": "Okay, thank you! Could you please expand a bit on how we know that 35-x would represent the amount of time it would take her? It is taking a bit for me to understand, sorry", "session_id": 11236, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "Say you can bake a cake in 45 minutes right?", "session_id": 11236, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "If I can do it 5 minutes faster, how long will it take me to bake it?", "session_id": 11236, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "40?", "session_id": 11236, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "Exactly! I am 5 minutes faster than you, so you can figure out how long I will take by using the expression \n45 - 5", "session_id": 11236, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "Let's say now I don't know how much faster I am, but I am faster than you. It's the same exact thing right?", "session_id": 11236, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "Right!", "session_id": 11236, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "You can figure out how long it takes me by doing\n45 - (How much faster I am)\n\nOr \n\n45 - x", "session_id": 11236, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "So, here the denominator 35 - x represents how fast David can wash a car", "session_id": 11236, "sequence_id": 15, "annotations": [{"pii_type": "PERSON", "surrogate": "David", "start": 52, "end": 57}]}
{"role": "student", "content": "That makes more sense, thank you!", "session_id": 11236, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "Now, If I say it takes me and you 50 minutes to bake a cake, how can you figure out how much of it I did?", "session_id": 11236, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "I think I could start with x+y=50?", "session_id": 11236, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "And what would x and y represent?", "session_id": 11236, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "x could be amount of time it took me, and y could be the amount of time it took you", "session_id": 11236, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "Going back to our cake example, how long did it take you and how long did it take me?", "session_id": 11236, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "I think it took me 45 minutes, and you 40 minutes", "session_id": 11236, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "Wait, I'm sorry, please scrap what I've said, I have explained this very poorly.", "session_id": 11236, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "What do you think y represents here?", "session_id": 11236, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "I had a slight misunderstanding about the problem earlier", "session_id": 11236, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "No worries", "session_id": 11236, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "What do you think y represents here?", "session_id": 11236, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "I think it would relate to the cars, maybe how many they can wash together?", "session_id": 11236, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "Not exactly, when looking at a problem like this, always try to refer to what it's asking you.", "session_id": 11236, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "Here, we know 35 - x is the speed Sarah can wash a car right?", "session_id": 11236, "sequence_id": 30, "annotations": [{"pii_type": "PERSON", "surrogate": "Sarah", "start": 34, "end": 39}]}
{"role": "student", "content": "Yes", "session_id": 11236, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "So, we are dividing something by her speed", "session_id": 11236, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "So, let's say y represented the number of cars they washed together", "session_id": 11236, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "We would be doing\n\nNumbers of cars / Times it takes for Sarah", "session_id": 11236, "sequence_id": 34, "annotations": [{"pii_type": "PERSON", "surrogate": "Sarah", "start": 56, "end": 61}]}
{"role": "volunteer", "content": "Now, that may seem very confusing, so let's plug in some random numbers. \nLet's say they wash 1 car and Sarah takes 30 minutes to wash one car", "session_id": 11236, "sequence_id": 35, "annotations": [{"pii_type": "PERSON", "surrogate": "Sarah", "start": 104, "end": 109}]}
{"role": "volunteer", "content": "So we are trying to divide \n1 car by 30 minutes per car wash", "session_id": 11236, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "Which doesn't really solve for anything", "session_id": 11236, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "Essentially, just plug in what you think it's saying, and if it doesn't make sense, it probably isn't right.", "session_id": 11236, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "Something that would make sense is doing something like\nLet's say I washed 3 cars in 30 minutes.\n\nI could say I did \n3 cars / 30 minutes\nWhich tells me I can do 3 cars every 30 minutes", "session_id": 11236, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "In this case, I can wash one car every 10 minutes right?", "session_id": 11236, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "Right", "session_id": 11236, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "So the rate at which I wash a car is 10 minutes per car.\n\nIf I now tried to divide the amount of cars by the rate that I can wash cars, I would be trying to do\n\n3 cars / 10 minutes per car", "session_id": 11236, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "Which, you wouldn't divide by the rate here, you would multiply \n3 times 10 instead right?", "session_id": 11236, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "To backtrack the amount of time, you would do 3 X 10 right? Not 3/10 .", "session_id": 11236, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "I think so?", "session_id": 11236, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "This probably is very confusing, but, essentially, it's not the total amount.", "session_id": 11236, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "Just know, because you are dividing by the speed Sarah takes, the top can't the total number of cars", "session_id": 11236, "sequence_id": 47, "annotations": [{"pii_type": "PERSON", "surrogate": "Sarah", "start": 49, "end": 54}]}
{"role": "student", "content": "Got it", "session_id": 11236, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "It may not make sense now, but this will just make sense as you do more of these problems. \nIt's much more intuitive than something you can put in words, I'm honestly genuinely sorry I just put you through that", "session_id": 11236, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "Anyways", "session_id": 11236, "sequence_id": 50, "annotations": []}
{"role": "student", "content": "That's okay", "session_id": 11236, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "For a question like this, just think what can I plug into the top of the equation, to actually solve for something.", "session_id": 11236, "sequence_id": 52, "annotations": []}
{"role": "student", "content": "Okay, I will keep that in mind. Thank you.", "session_id": 11236, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "So, if y represented the total amount of time it took them to wash a car, what do you think dividing by the Sarah's speed would do?", "session_id": 11236, "sequence_id": 54, "annotations": [{"pii_type": "PERSON", "surrogate": "Sarah", "start": 108, "end": 113}]}
{"role": "volunteer", "content": "To put it in words, I am doing\nTotal time / Sarah's speed", "session_id": 11236, "sequence_id": 55, "annotations": [{"pii_type": "PERSON", "surrogate": "Sarah", "start": 44, "end": 49}]}
{"role": "volunteer", "content": "What do you think that would tell us?", "session_id": 11236, "sequence_id": 56, "annotations": []}
{"role": "student", "content": "I'm not too sure, because we already know Sarah's time, I don't think we are multiplying  anything by Sarah's time to get the total?", "session_id": 11236, "sequence_id": 57, "annotations": [{"pii_type": "PERSON", "surrogate": "Sarah", "start": 42, "end": 47}, {"pii_type": "PERSON", "surrogate": "Sarah", "start": 102, "end": 107}]}
{"role": "volunteer", "content": "Okay, let's refer back to the situation first, Sarah and David are washing this car together right?", "session_id": 11236, "sequence_id": 58, "annotations": [{"pii_type": "PERSON", "surrogate": "Sarah", "start": 47, "end": 52}, {"pii_type": "PERSON", "surrogate": "David", "start": 57, "end": 62}]}
{"role": "student", "content": "Yes", "session_id": 11236, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "Now, remember, you take 45 minutes to bake a cake and I take 40 minutes to bake a cake.", "session_id": 11236, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "Now let's say we took 20 minutes to bake a single cake", "session_id": 11236, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "If I want to find the proportion of the job that I did I would divide the time it took for us by our speed right?", "session_id": 11236, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "I have a really good way to demonstrate this now.", "session_id": 11236, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "Let's say it takes us some time to bake a cake together right?", "session_id": 11236, "sequence_id": 64, "annotations": []}
{"role": "student", "content": "Right", "session_id": 11236, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "You take 45 minutes", "session_id": 11236, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "I take 40 minutes", "session_id": 11236, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "But altogether, the amounts of the job that we did totaled to ONE cake right?", "session_id": 11236, "sequence_id": 68, "annotations": []}
{"role": "student", "content": "Right", "session_id": 11236, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "So, the fraction of work you did plus the fraction of work I did equaled the one cake", "session_id": 11236, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "But, if I want to figure out what fraction of the work I did or you did, I could take our total time spent together divided by our speed right?", "session_id": 11236, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "Look at the equation I have up", "session_id": 11236, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "The total time we took together divided by my speed", "session_id": 11236, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "Plus the total time it took together divided by the time it takes me", "session_id": 11236, "sequence_id": 74, "annotations": []}
{"role": "volunteer", "content": "Gave us that one cake", "session_id": 11236, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "Basically, the fraction of your work in the job was\n\nTotal time / How long it takes you to make a cake", "session_id": 11236, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "Does that part make sense?", "session_id": 11236, "sequence_id": 77, "annotations": []}
{"role": "student", "content": "I think so, yes", "session_id": 11236, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "So the fraction of work that you did is \nt / 45\n\nI can do the same for the fraction of work I did which is\nt / 40", "session_id": 11236, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "Now the work we put into the job is made us ONE cake right?", "session_id": 11236, "sequence_id": 80, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 11236, "sequence_id": 81, "annotations": []}
{"role": "volunteer", "content": "Now, let's go back, imagine you don't know how much faster I am than you when it comes to making a cake", "session_id": 11236, "sequence_id": 82, "annotations": []}
{"role": "volunteer", "content": "My speed in making a cake could be represented by \n45 - x", "session_id": 11236, "sequence_id": 83, "annotations": []}
{"role": "student", "content": "Okay", "session_id": 11236, "sequence_id": 84, "annotations": []}
{"role": "volunteer", "content": "So, now my fraction of work in baking the cake is\n\nt / (45 - x)", "session_id": 11236, "sequence_id": 85, "annotations": []}
{"role": "volunteer", "content": "So, in this situation where we are working on together and we know both our speeds, \ntaking the total time it took us to do a job divided by how fast we normally do a job, gives us our fraction of work in the job", "session_id": 11236, "sequence_id": 86, "annotations": []}
{"role": "student", "content": "Okay", "session_id": 11236, "sequence_id": 87, "annotations": []}
{"role": "student", "content": "That makes sense", "session_id": 11236, "sequence_id": 88, "annotations": []}
{"role": "volunteer", "content": "Okay, I'm honestly really sorry for this, this question is purely conceptual, I honestly think it's stupid that they ask a question like this, but I guess I just cannot seem to explain it clearly.", "session_id": 11236, "sequence_id": 89, "annotations": []}
{"role": "volunteer", "content": "Going back to our original problem\n\nWe are dividing by Sarah's speed right?", "session_id": 11236, "sequence_id": 90, "annotations": [{"pii_type": "PERSON", "surrogate": "Sarah", "start": 55, "end": 60}]}
{"role": "student", "content": "Yes, we are. And that's okay, I appreciate you trying your best to explain it", "session_id": 11236, "sequence_id": 91, "annotations": []}
{"role": "volunteer", "content": "So, if we are dividing by Sarah's speed, in a situation where people are working on a job together, it would make sense to have the total time it took altogether as the numerator right?", "session_id": 11236, "sequence_id": 92, "annotations": [{"pii_type": "PERSON", "surrogate": "Sarah", "start": 26, "end": 31}]}
{"role": "student", "content": "Yes", "session_id": 11236, "sequence_id": 93, "annotations": []}
{"role": "volunteer", "content": "And dividing this total time together by Sarah's speed will give us Sarah's part in the job", "session_id": 11236, "sequence_id": 94, "annotations": [{"pii_type": "PERSON", "surrogate": "Sarah", "start": 41, "end": 46}, {"pii_type": "PERSON", "surrogate": "Sarah", "start": 68, "end": 73}]}
{"role": "volunteer", "content": "In this situation, how could you represent Sarah's fraction of work in the job?", "session_id": 11236, "sequence_id": 95, "annotations": [{"pii_type": "PERSON", "surrogate": "Sarah", "start": 43, "end": 48}]}
{"role": "student", "content": "We could do the total amount, t over 35?", "session_id": 11236, "sequence_id": 96, "annotations": []}
{"role": "volunteer", "content": "Exactly,", "session_id": 11236, "sequence_id": 97, "annotations": []}
{"role": "volunteer", "content": "If we added their fractional amounts of work together, what should we get as well?", "session_id": 11236, "sequence_id": 98, "annotations": []}
{"role": "student", "content": "The total amount of time it takes for 1 car?", "session_id": 11236, "sequence_id": 99, "annotations": []}
{"role": "volunteer", "content": "Not exactly, we were using the total amount of time it took together to figure out how much of the job they did right?", "session_id": 11236, "sequence_id": 100, "annotations": []}
{"role": "volunteer", "content": "By doing \nt / 35\nt / (35-x)", "session_id": 11236, "sequence_id": 101, "annotations": []}
{"role": "volunteer", "content": "Or, in this case, y, I mean", "session_id": 11236, "sequence_id": 102, "annotations": []}
{"role": "volunteer", "content": "But we know if they both did some amount of work in this car wash, together, they washed one car right?", "session_id": 11236, "sequence_id": 103, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 11236, "sequence_id": 104, "annotations": []}
{"role": "volunteer", "content": "Basically, the work of Sarah and David together in this car wash, washed the car", "session_id": 11236, "sequence_id": 105, "annotations": [{"pii_type": "PERSON", "surrogate": "Sarah", "start": 23, "end": 28}, {"pii_type": "PERSON", "surrogate": "David", "start": 33, "end": 38}]}
{"role": "volunteer", "content": "So, the fractional amount of work that Sarah did y / 35 plus the fractional amount of work David did y / (35 - x)\n\nshould equal 1 because they washed one car together?", "session_id": 11236, "sequence_id": 106, "annotations": [{"pii_type": "PERSON", "surrogate": "Sarah", "start": 39, "end": 44}, {"pii_type": "PERSON", "surrogate": "David", "start": 91, "end": 96}]}
{"role": "student", "content": "Yes", "session_id": 11236, "sequence_id": 107, "annotations": []}
{"role": "volunteer", "content": "This is mostly unrelated to the problem, but I just want to reword everything into the context of the situation", "session_id": 11236, "sequence_id": 108, "annotations": []}
{"role": "volunteer", "content": "Have you already answered the initial problem or do you want to finally go through it?", "session_id": 11236, "sequence_id": 109, "annotations": []}
{"role": "student", "content": "I think I understand it, I just need to fill in the blanks.", "session_id": 11236, "sequence_id": 110, "annotations": []}
{"role": "student", "content": "I got it, thank you!", "session_id": 11236, "sequence_id": 111, "annotations": []}
{"role": "volunteer", "content": "Okay, once again, I'm very sorry for how I explained this.\nFeel free to leave whenever you are ready unless you have another question...\nBut questions like these all just require you to understand what's happening in the situation.", "session_id": 11236, "sequence_id": 112, "annotations": []}
{"role": "student", "content": "That's okay! Is it okay if we try another?", "session_id": 11236, "sequence_id": 113, "annotations": []}
{"role": "volunteer", "content": "Sure, just put it up whenever!", "session_id": 11236, "sequence_id": 114, "annotations": []}
{"role": "volunteer", "content": "Okay, here let's focus exclusively on Liam", "session_id": 11236, "sequence_id": 115, "annotations": [{"pii_type": "PERSON", "surrogate": "Liam", "start": 38, "end": 42}]}
{"role": "volunteer", "content": "What would doing 450 / x do", "session_id": 11236, "sequence_id": 116, "annotations": []}
{"role": "volunteer", "content": "What is x?", "session_id": 11236, "sequence_id": 117, "annotations": []}
{"role": "student", "content": "The amount of time it takes Liam to plant 450 bulbs?", "session_id": 11236, "sequence_id": 118, "annotations": [{"pii_type": "PERSON", "surrogate": "Liam", "start": 28, "end": 32}]}
{"role": "volunteer", "content": "Yes, so doing 450 / the time it takes Sarah is like doing\n450 / Minutes used", "session_id": 11236, "sequence_id": 119, "annotations": [{"pii_type": "PERSON", "surrogate": "Sarah", "start": 38, "end": 43}]}
{"role": "volunteer", "content": "Which should tell us how many bulbs she can plant per minute right?", "session_id": 11236, "sequence_id": 120, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 11236, "sequence_id": 121, "annotations": []}
{"role": "volunteer", "content": "So, here in this context, they tell us Liam also planted 450 bulbs right?", "session_id": 11236, "sequence_id": 122, "annotations": [{"pii_type": "PERSON", "surrogate": "Liam", "start": 39, "end": 43}]}
{"role": "student", "content": "Yes, but he took 25 more minutes than Liam?", "session_id": 11236, "sequence_id": 123, "annotations": [{"pii_type": "PERSON", "surrogate": "Liam", "start": 38, "end": 42}]}
{"role": "volunteer", "content": "Exactly! Great observation!", "session_id": 11236, "sequence_id": 124, "annotations": []}
{"role": "volunteer", "content": "Doing 450 / x tells us Liam's rate", "session_id": 11236, "sequence_id": 125, "annotations": [{"pii_type": "PERSON", "surrogate": "Liam", "start": 23, "end": 27}]}
{"role": "volunteer", "content": "Where x was our time for Liam", "session_id": 11236, "sequence_id": 126, "annotations": [{"pii_type": "PERSON", "surrogate": "Liam", "start": 25, "end": 29}]}
{"role": "volunteer", "content": "So now, it seems like he took 25 minutes more than Liam", "session_id": 11236, "sequence_id": 127, "annotations": [{"pii_type": "PERSON", "surrogate": "Liam", "start": 51, "end": 55}]}
{"role": "student", "content": "Okay, so that means 450/x+25 would be his rate?", "session_id": 11236, "sequence_id": 128, "annotations": []}
{"role": "volunteer", "content": "Exactly! That is the meaning of the entire rational expression", "session_id": 11236, "sequence_id": 129, "annotations": []}
{"role": "volunteer", "content": "So the denominator is Noah's time", "session_id": 11236, "sequence_id": 130, "annotations": [{"pii_type": "PERSON", "surrogate": "Noah", "start": 22, "end": 26}]}
{"role": "volunteer", "content": "And Noah took more time than Liam", "session_id": 11236, "sequence_id": 131, "annotations": [{"pii_type": "PERSON", "surrogate": "Noah", "start": 4, "end": 8}, {"pii_type": "PERSON", "surrogate": "Liam", "start": 29, "end": 33}]}
{"role": "volunteer", "content": "And the rational expression is his rate right?", "session_id": 11236, "sequence_id": 132, "annotations": []}
{"role": "student", "content": "Right!", "session_id": 11236, "sequence_id": 133, "annotations": []}
{"role": "volunteer", "content": "Do you want to do one more? I will have to go though after as it is currently 1:13 A.M for me and I have to be up in a couple hours.", "session_id": 11236, "sequence_id": 134, "annotations": []}
{"role": "student", "content": "No, that's okay then. We can end it here.", "session_id": 11236, "sequence_id": 135, "annotations": []}
{"role": "student", "content": "Thank you so much for your help ant patience!", "session_id": 11236, "sequence_id": 136, "annotations": []}
{"role": "volunteer", "content": "Okay, I hope I helped in some way despite my really poorly made, complex explanations, whenever you are ready, you can leave.", "session_id": 11236, "sequence_id": 137, "annotations": []}
{"role": "student", "content": "You definitely helped, thanks! Have a great night!", "session_id": 11236, "sequence_id": 138, "annotations": []}
{"role": "student", "content": "Hellooo", "session_id": 11999, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "?", "session_id": 11999, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "Hi!", "session_id": 11999, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "What do you need help with today?", "session_id": 11999, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "I need help with graphing quadratics in vertex form", "session_id": 11999, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "Ok", "session_id": 11999, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "Is there a specific question you want to solve?", "session_id": 11999, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "I would !like to upload it", "session_id": 11999, "sequence_id": 7, "annotations": [{"pii_type": "PERSON", "surrogate": "like", "start": 9, "end": 13}]}
{"role": "volunteer", "content": "Ok!", "session_id": 11999, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "Let me see if I can", "session_id": 11999, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "There!", "session_id": 11999, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "Ok! Let me take a look at it", "session_id": 11999, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "Could you hear me", "session_id": 11999, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "Yes, I can", "session_id": 11999, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "OK, that's good", "session_id": 11999, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "Ok, so let's start at the top", "session_id": 11999, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "I", "session_id": 11999, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "Oh, I can hear you too.", "session_id": 11999, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "Oh ok", "session_id": 11999, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "Do you want me to speak or just chat", "session_id": 11999, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "Uh, you can, you can, um", "session_id": 11999, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "you can talk so it can be much easier for me to understand.", "session_id": 11999, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "OK, hi, can you hear me", "session_id": 11999, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "Thank you", "session_id": 11999, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "Yeah. Oh, I like your voice. You're welcome.", "session_id": 11999, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "OK, so", "session_id": 11999, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "um, do you just wanna start at the top.", "session_id": 11999, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "Uh yeah", "session_id": 11999, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "OK, so do you know the equation of the graph at the top.", "session_id": 11999, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "Uh", "session_id": 11999, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "which equation", "session_id": 11999, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "Like it says the parent quadratic function is.", "session_id": 11999, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "Oh yeah", "session_id": 11999, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "OK, so do you know what the apparent quadratic function is.", "session_id": 11999, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "Uh no", "session_id": 11999, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "OK, that's fine. Um, so basically, it's F of X equals x squared.", "session_id": 11999, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "Now, let me type it", "session_id": 11999, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "f(x) = x\u00b2", "session_id": 11999, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "So that's what the parent quadratic function is.", "session_id": 11999, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "And basically everything below is just transformations of the parent quadratic function.", "session_id": 11999, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "Does that make sense?", "session_id": 11999, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 11999, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 11999, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "So", "session_id": 11999, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "um, the U-shaped graph of a quadratic function. Do you know what that's called?", "session_id": 11999, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "Uh, parabola, parabola, right?", "session_id": 11999, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "Yeah, parabola", "session_id": 11999, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "Um", "session_id": 11999, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "and then the line that divides the parabola into two mirror images. Do you know what that's called?", "session_id": 11999, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "Axis symmetry.", "session_id": 11999, "sequence_id": 49, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 11999, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "Yeah, OK", "session_id": 11999, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "OK", "session_id": 11999, "sequence_id": 52, "annotations": []}
{"role": "student", "content": "OK", "session_id": 11999, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "And then um the point at which the problem meets the axis of symmetry. Do you know what that is?", "session_id": 11999, "sequence_id": 54, "annotations": []}
{"role": "student", "content": "OK", "session_id": 11999, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "Yeah.", "session_id": 11999, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "So", "session_id": 11999, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "now for the first one, it's a reflection", "session_id": 11999, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "so", "session_id": 11999, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "basically", "session_id": 11999, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "um, since it's negative, it would be a less than 0. So if you add like", "session_id": 11999, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "um a reflection is like a negative sign. So if you add that, it just flips the parabola.", "session_id": 11999, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "Does that make sense", "session_id": 11999, "sequence_id": 63, "annotations": []}
{"role": "student", "content": "Do you have an example? sorry.", "session_id": 11999, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "Oh yeah, that's fine. Um", "session_id": 11999, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "OK, yeah, I can show you an example, one sec.", "session_id": 11999, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "I can just like do it below.", "session_id": 11999, "sequence_id": 67, "annotations": []}
{"role": "student", "content": "OK", "session_id": 11999, "sequence_id": 68, "annotations": []}
{"role": "student", "content": "I'll write it down also.", "session_id": 11999, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "OK, um, wait.", "session_id": 11999, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "Wait, actually, I think the thing below it is the example. So like, um, if you have Y equals x squared or no, if you have Y equals x^2, and then you add a negative sign, so it becomes y equals x^2 + 3, then it would flip the parabola upside down.", "session_id": 11999, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "Like, does that make sense? Like, basically at the top, you have um Y equals x squared, and then in the place where it says Reflection, you have Y equals ax^2. So it like flips the parabola, so now it's upside down. So basically like reflects it.", "session_id": 11999, "sequence_id": 72, "annotations": []}
{"role": "student", "content": "Oh, OK, OK.", "session_id": 11999, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "Yeah. So it would be", "session_id": 11999, "sequence_id": 74, "annotations": []}
{"role": "volunteer", "content": "um A is less than 0. And then a stretch is", "session_id": 11999, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "um, basically, it's a vertical stretch, so if you add, like, before the x squared, if you add like a number, like 2, it would make the parabola like", "session_id": 11999, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "you know, extra stretch closer to the axis.", "session_id": 11999, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "Um, and that's called a vertical stretch.", "session_id": 11999, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "So if it's a stretch, it would be a greater than 0.", "session_id": 11999, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "So, like originally the dotted one is Y equals x squared, and then Y equals 2x2 would be a stretch of two, so it like stretches the parabola toward the axis. Does that make sense?", "session_id": 11999, "sequence_id": 80, "annotations": []}
{"role": "student", "content": "A little, yeah.", "session_id": 11999, "sequence_id": 81, "annotations": []}
{"role": "volunteer", "content": "Yeah, um", "session_id": 11999, "sequence_id": 82, "annotations": []}
{"role": "volunteer", "content": "I think it might make more sense what we, once we do the examples that basically if you add like a number um before the X squared. It's called a stretched, and the number has to be greater than 0.", "session_id": 11999, "sequence_id": 83, "annotations": []}
{"role": "volunteer", "content": "OK, and then a compression is basically the number has to be between 0 and 1. So it", "session_id": 11999, "sequence_id": 84, "annotations": []}
{"role": "volunteer", "content": "um, a compression is when it moves farther from the Y-axis. So like you can see it becomes wider.", "session_id": 11999, "sequence_id": 85, "annotations": []}
{"role": "volunteer", "content": "So basically, if the numbers like", "session_id": 11999, "sequence_id": 86, "annotations": []}
{"role": "volunteer", "content": "between 0 and 1, it would become wider.", "session_id": 11999, "sequence_id": 87, "annotations": []}
{"role": "volunteer", "content": "Does that make sense", "session_id": 11999, "sequence_id": 88, "annotations": []}
{"role": "student", "content": "Yeah, I get it.", "session_id": 11999, "sequence_id": 89, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 11999, "sequence_id": 90, "annotations": []}
{"role": "volunteer", "content": "Yeah. Um", "session_id": 11999, "sequence_id": 91, "annotations": []}
{"role": "volunteer", "content": "so", "session_id": 11999, "sequence_id": 92, "annotations": []}
{"role": "volunteer", "content": "do you just wanna do the example, or if you have any questions, you can ask that.", "session_id": 11999, "sequence_id": 93, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 11999, "sequence_id": 94, "annotations": []}
{"role": "volunteer", "content": "Um", "session_id": 11999, "sequence_id": 95, "annotations": []}
{"role": "student", "content": "I have", "session_id": 11999, "sequence_id": 96, "annotations": []}
{"role": "volunteer", "content": "yeah, what were you saying", "session_id": 11999, "sequence_id": 97, "annotations": []}
{"role": "student", "content": "is it", "session_id": 11999, "sequence_id": 98, "annotations": []}
{"role": "student", "content": "um", "session_id": 11999, "sequence_id": 99, "annotations": []}
{"role": "student", "content": "you and I, so I cut the screenshot doesn't show like the other half, but I have the other screenshot.", "session_id": 11999, "sequence_id": 100, "annotations": []}
{"role": "volunteer", "content": "OK. Yeah, that's fine. Maybe you can just put like the other screenshot.", "session_id": 11999, "sequence_id": 101, "annotations": []}
{"role": "student", "content": "OK", "session_id": 11999, "sequence_id": 102, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 11999, "sequence_id": 103, "annotations": []}
{"role": "volunteer", "content": "OK. So for the first one,", "session_id": 11999, "sequence_id": 104, "annotations": []}
{"role": "volunteer", "content": "Y equals -x squared. So how do you think the parabola would look?", "session_id": 11999, "sequence_id": 105, "annotations": []}
{"role": "student", "content": "Um", "session_id": 11999, "sequence_id": 106, "annotations": []}
{"role": "student", "content": "I think you add like, since there's no other numbers, but like, uh, negative x squared, you add like a 0 and like a 1.", "session_id": 11999, "sequence_id": 107, "annotations": []}
{"role": "student", "content": "like a 1x and then square.", "session_id": 11999, "sequence_id": 108, "annotations": []}
{"role": "volunteer", "content": "Yeah, yeah, it would be Y equals -1 x squared.", "session_id": 11999, "sequence_id": 109, "annotations": []}
{"role": "volunteer", "content": "So like on the graph,", "session_id": 11999, "sequence_id": 110, "annotations": []}
{"role": "volunteer", "content": "um,", "session_id": 11999, "sequence_id": 111, "annotations": []}
{"role": "volunteer", "content": "like, how do you think the parabola would look on the graph.", "session_id": 11999, "sequence_id": 112, "annotations": []}
{"role": "student", "content": "like plotting", "session_id": 11999, "sequence_id": 113, "annotations": []}
{"role": "volunteer", "content": "Yeah.", "session_id": 11999, "sequence_id": 114, "annotations": []}
{"role": "student", "content": "Uh, I think you start by, you start by, uh, 0.", "session_id": 11999, "sequence_id": 115, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 11999, "sequence_id": 116, "annotations": []}
{"role": "student", "content": "underground", "session_id": 11999, "sequence_id": 117, "annotations": []}
{"role": "volunteer", "content": "Um", "session_id": 11999, "sequence_id": 118, "annotations": []}
{"role": "student", "content": "and then", "session_id": 11999, "sequence_id": 119, "annotations": []}
{"role": "student", "content": "and then you moved.", "session_id": 11999, "sequence_id": 120, "annotations": []}
{"role": "student", "content": "you move one.", "session_id": 11999, "sequence_id": 121, "annotations": []}
{"role": "student", "content": "down like to the left.", "session_id": 11999, "sequence_id": 122, "annotations": []}
{"role": "volunteer", "content": "yeah", "session_id": 11999, "sequence_id": 123, "annotations": []}
{"role": "volunteer", "content": "OK. Yeah, so, um, to graph it, we can just like", "session_id": 11999, "sequence_id": 124, "annotations": []}
{"role": "volunteer", "content": "uh start", "session_id": 11999, "sequence_id": 125, "annotations": []}
{"role": "volunteer", "content": "um plotting like the points. So,", "session_id": 11999, "sequence_id": 126, "annotations": []}
{"role": "volunteer", "content": "um we can start with X equals 0.", "session_id": 11999, "sequence_id": 127, "annotations": []}
{"role": "volunteer", "content": "So if X equals 0, what would Y be?", "session_id": 11999, "sequence_id": 128, "annotations": []}
{"role": "student", "content": "-1", "session_id": 11999, "sequence_id": 129, "annotations": []}
{"role": "volunteer", "content": "Um", "session_id": 11999, "sequence_id": 130, "annotations": []}
{"role": "volunteer", "content": "so X equals 0, we can just like", "session_id": 11999, "sequence_id": 131, "annotations": []}
{"role": "volunteer", "content": "um if we have like the X value and we wanna see what why is. You can just plug it in.", "session_id": 11999, "sequence_id": 132, "annotations": []}
{"role": "volunteer", "content": "So it would be like", "session_id": 11999, "sequence_id": 133, "annotations": []}
{"role": "volunteer", "content": "we just plug the 0 in instead of an X. So,", "session_id": 11999, "sequence_id": 134, "annotations": []}
{"role": "volunteer", "content": "um 0 times anything is 0.", "session_id": 11999, "sequence_id": 135, "annotations": []}
{"role": "volunteer", "content": "So, basically,", "session_id": 11999, "sequence_id": 136, "annotations": []}
{"role": "volunteer", "content": "if we did hear 0 times 0, it would just be 0 and then 0 times -1 would also be easier.", "session_id": 11999, "sequence_id": 137, "annotations": []}
{"role": "volunteer", "content": "So what would the Y value be?", "session_id": 11999, "sequence_id": 138, "annotations": []}
{"role": "student", "content": "0", "session_id": 11999, "sequence_id": 139, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 11999, "sequence_id": 140, "annotations": []}
{"role": "volunteer", "content": "Um, OK. So basically, the first point would be 00. OK.", "session_id": 11999, "sequence_id": 141, "annotations": []}
{"role": "volunteer", "content": "Yeah, and then", "session_id": 11999, "sequence_id": 142, "annotations": []}
{"role": "volunteer", "content": "if we have one, what would 5 be?", "session_id": 11999, "sequence_id": 143, "annotations": []}
{"role": "student", "content": "We live to get um", "session_id": 11999, "sequence_id": 144, "annotations": []}
{"role": "student", "content": "we to get um one positive one from.", "session_id": 11999, "sequence_id": 145, "annotations": []}
{"role": "volunteer", "content": "Um,", "session_id": 11999, "sequence_id": 146, "annotations": []}
{"role": "volunteer", "content": "oh, where did I get it from?", "session_id": 11999, "sequence_id": 147, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 11999, "sequence_id": 148, "annotations": []}
{"role": "volunteer", "content": "Um, so, basically, I'm just trying to grasp the parabola, so I'm just like choosing random like X values, and then I'm trying to figure out what the Y value is. So if, if we have an X value and a y value, we have 1 point. So then um if we have like a bunch of different points, we can graph therabola. So I'm just like choosing random numbers to find the points.", "session_id": 11999, "sequence_id": 149, "annotations": []}
{"role": "student", "content": "Oh, OK, OK.", "session_id": 11999, "sequence_id": 150, "annotations": []}
{"role": "volunteer", "content": "Yeah.", "session_id": 11999, "sequence_id": 151, "annotations": []}
{"role": "volunteer", "content": "So", "session_id": 11999, "sequence_id": 152, "annotations": []}
{"role": "volunteer", "content": "um, I'm just choosing Xalues and then if you have an X value and you want to find what y is, you can use the equation, so you can just plug in the X value, and then solve it, and then you can get the Y value. And then if you have X, Y, you have a point, so you can just graph it.", "session_id": 11999, "sequence_id": 153, "annotations": []}
{"role": "student", "content": "OK", "session_id": 11999, "sequence_id": 154, "annotations": []}
{"role": "volunteer", "content": "So, um, if we had", "session_id": 11999, "sequence_id": 155, "annotations": []}
{"role": "volunteer", "content": "if the X value is 1, then what do you think the Y value would be?", "session_id": 11999, "sequence_id": 156, "annotations": []}
{"role": "student", "content": "Uh, negative 1.", "session_id": 11999, "sequence_id": 157, "annotations": []}
{"role": "volunteer", "content": "Yeah, so then we would have one common negative one. So then that would be over here.", "session_id": 11999, "sequence_id": 158, "annotations": []}
{"role": "volunteer", "content": "OK. Um, OK, now let's do", "session_id": 11999, "sequence_id": 159, "annotations": []}
{"role": "volunteer", "content": "2", "session_id": 11999, "sequence_id": 160, "annotations": []}
{"role": "volunteer", "content": "Um", "session_id": 11999, "sequence_id": 161, "annotations": []}
{"role": "volunteer", "content": "so if we add 2, then what would the XB?", "session_id": 11999, "sequence_id": 162, "annotations": []}
{"role": "student", "content": "negative 2", "session_id": 11999, "sequence_id": 163, "annotations": []}
{"role": "volunteer", "content": "Um, so,", "session_id": 11999, "sequence_id": 164, "annotations": []}
{"role": "volunteer", "content": "because the equation is squared, we would have to do 2 squared and then multiply it by -1.", "session_id": 11999, "sequence_id": 165, "annotations": []}
{"role": "student", "content": "Oh it's uh 4.", "session_id": 11999, "sequence_id": 166, "annotations": []}
{"role": "volunteer", "content": "22 is 4, but then it's negative 22.", "session_id": 11999, "sequence_id": 167, "annotations": []}
{"role": "volunteer", "content": "Does that make sense", "session_id": 11999, "sequence_id": 168, "annotations": []}
{"role": "student", "content": "I", "session_id": 11999, "sequence_id": 169, "annotations": []}
{"role": "student", "content": "No, I'm sorry.", "session_id": 11999, "sequence_id": 170, "annotations": []}
{"role": "volunteer", "content": "Oh no, it's that. Um, OK, so basically, um, like,", "session_id": 11999, "sequence_id": 171, "annotations": []}
{"role": "volunteer", "content": "we're just like", "session_id": 11999, "sequence_id": 172, "annotations": []}
{"role": "volunteer", "content": "trying to graph it", "session_id": 11999, "sequence_id": 173, "annotations": []}
{"role": "volunteer", "content": "So we have like", "session_id": 11999, "sequence_id": 174, "annotations": []}
{"role": "volunteer", "content": "wait, yeah, we have um like different points to graph on the graph. So, um, I'm trying to find like what why would be if X was 2.", "session_id": 11999, "sequence_id": 175, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 11999, "sequence_id": 176, "annotations": []}
{"role": "volunteer", "content": "So you see how like the equation is Y equals -x squared.", "session_id": 11999, "sequence_id": 177, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 11999, "sequence_id": 178, "annotations": []}
{"role": "volunteer", "content": "So basically", "session_id": 11999, "sequence_id": 179, "annotations": []}
{"role": "volunteer", "content": "like let's say X was 2.", "session_id": 11999, "sequence_id": 180, "annotations": []}
{"role": "volunteer", "content": "then um instead of wait,", "session_id": 11999, "sequence_id": 181, "annotations": []}
{"role": "volunteer", "content": "oops, OK. Instead of having Y equals x squared, we can um have Y equals -22.", "session_id": 11999, "sequence_id": 182, "annotations": []}
{"role": "volunteer", "content": "and then, so it would look like", "session_id": 11999, "sequence_id": 183, "annotations": []}
{"role": "volunteer", "content": "this. Wait, can you see like the writing below.", "session_id": 11999, "sequence_id": 184, "annotations": []}
{"role": "student", "content": "Yeah, I can see, I can see.", "session_id": 11999, "sequence_id": 185, "annotations": []}
{"role": "volunteer", "content": "OK. Yeah. So basically", "session_id": 11999, "sequence_id": 186, "annotations": []}
{"role": "volunteer", "content": "um we would have Y equals 22, and then we're just trying to simplify it. So 2 squared would be 4. So then we would have -4. So then why would just be negative for it.", "session_id": 11999, "sequence_id": 187, "annotations": []}
{"role": "volunteer", "content": "Does that make sense", "session_id": 11999, "sequence_id": 188, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 11999, "sequence_id": 189, "annotations": []}
{"role": "volunteer", "content": "OK, just um ask me if you have any questions.", "session_id": 11999, "sequence_id": 190, "annotations": []}
{"role": "student", "content": "OK", "session_id": 11999, "sequence_id": 191, "annotations": []}
{"role": "volunteer", "content": "So, um, then we have 24. So that would be over here.", "session_id": 11999, "sequence_id": 192, "annotations": []}
{"role": "volunteer", "content": "OK, so, you know what the axis of symmetry is, right?", "session_id": 11999, "sequence_id": 193, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 11999, "sequence_id": 194, "annotations": []}
{"role": "volunteer", "content": "OK. So", "session_id": 11999, "sequence_id": 195, "annotations": []}
{"role": "volunteer", "content": "um", "session_id": 11999, "sequence_id": 196, "annotations": []}
{"role": "volunteer", "content": "where would the axis of symmetry be here?", "session_id": 11999, "sequence_id": 197, "annotations": []}
{"role": "student", "content": "Like", "session_id": 11999, "sequence_id": 198, "annotations": []}
{"role": "student", "content": "the 0", "session_id": 11999, "sequence_id": 199, "annotations": []}
{"role": "volunteer", "content": "Yeah, it would be at X equals 0.", "session_id": 11999, "sequence_id": 200, "annotations": []}
{"role": "volunteer", "content": "So it would just be like in the middle for this graph.", "session_id": 11999, "sequence_id": 201, "annotations": []}
{"role": "volunteer", "content": "So basically the axis is symmetry is like, it means that any points on the right are just like", "session_id": 11999, "sequence_id": 202, "annotations": []}
{"role": "volunteer", "content": "um symmetrical to the points on the left.", "session_id": 11999, "sequence_id": 203, "annotations": []}
{"role": "volunteer", "content": "So since we have points on the right, we can just do the same like points on the other side. So like this,", "session_id": 11999, "sequence_id": 204, "annotations": []}
{"role": "volunteer", "content": "and then um once we have enough points, we can connect all of them and then we have the parabola.", "session_id": 11999, "sequence_id": 205, "annotations": []}
{"role": "volunteer", "content": "So.", "session_id": 11999, "sequence_id": 206, "annotations": []}
{"role": "volunteer", "content": "it'd be like this", "session_id": 11999, "sequence_id": 207, "annotations": []}
{"role": "volunteer", "content": "So that's basically how the graph would look like.", "session_id": 11999, "sequence_id": 208, "annotations": []}
{"role": "student", "content": "Oh, OK, OK.", "session_id": 11999, "sequence_id": 209, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 11999, "sequence_id": 210, "annotations": []}
{"role": "student", "content": "Mm", "session_id": 11999, "sequence_id": 211, "annotations": []}
{"role": "volunteer", "content": "So, do you have any questions", "session_id": 11999, "sequence_id": 212, "annotations": []}
{"role": "student", "content": "OK", "session_id": 11999, "sequence_id": 213, "annotations": []}
{"role": "student", "content": "No", "session_id": 11999, "sequence_id": 214, "annotations": []}
{"role": "volunteer", "content": "OK.", "session_id": 11999, "sequence_id": 215, "annotations": []}
{"role": "student", "content": "OK", "session_id": 11999, "sequence_id": 216, "annotations": []}
{"role": "student", "content": "which um", "session_id": 11999, "sequence_id": 217, "annotations": []}
{"role": "student", "content": "yeah, let's try the other one.", "session_id": 11999, "sequence_id": 218, "annotations": []}
{"role": "volunteer", "content": "OK. Um, we", "session_id": 11999, "sequence_id": 219, "annotations": []}
{"role": "student", "content": "I think I understand a little bit.", "session_id": 11999, "sequence_id": 220, "annotations": []}
{"role": "volunteer", "content": "OK, that's good", "session_id": 11999, "sequence_id": 221, "annotations": []}
{"role": "volunteer", "content": "Um", "session_id": 11999, "sequence_id": 222, "annotations": []}
{"role": "volunteer", "content": "OK let's just try the other.", "session_id": 11999, "sequence_id": 223, "annotations": []}
{"role": "volunteer", "content": "OK, so now we have F of X equals 3x2. So basically we can, we can just do the same thing. So let's say X was 0, then what would Y be?", "session_id": 11999, "sequence_id": 224, "annotations": []}
{"role": "student", "content": "3", "session_id": 11999, "sequence_id": 225, "annotations": []}
{"role": "volunteer", "content": "Um, OK, wait. I think it's like easier to write the equation out.", "session_id": 11999, "sequence_id": 226, "annotations": []}
{"role": "volunteer", "content": "So basically we'd have 30 square.", "session_id": 11999, "sequence_id": 227, "annotations": []}
{"role": "volunteer", "content": "So", "session_id": 11999, "sequence_id": 228, "annotations": []}
{"role": "volunteer", "content": "what's 02?", "session_id": 11999, "sequence_id": 229, "annotations": []}
{"role": "student", "content": "0", "session_id": 11999, "sequence_id": 230, "annotations": []}
{"role": "volunteer", "content": "Yeah, and then it's 0 times 3.", "session_id": 11999, "sequence_id": 231, "annotations": []}
{"role": "student", "content": "0", "session_id": 11999, "sequence_id": 232, "annotations": []}
{"role": "volunteer", "content": "Yeah, so basically what I would then be there.", "session_id": 11999, "sequence_id": 233, "annotations": []}
{"role": "volunteer", "content": "Do you have any questions", "session_id": 11999, "sequence_id": 234, "annotations": []}
{"role": "student", "content": "Um, I'm just at home. I have to write it down", "session_id": 11999, "sequence_id": 235, "annotations": []}
{"role": "volunteer", "content": "OK, yeah", "session_id": 11999, "sequence_id": 236, "annotations": []}
{"role": "volunteer", "content": "OK, tell me, like when you want to move on.", "session_id": 11999, "sequence_id": 237, "annotations": []}
{"role": "student", "content": "OK", "session_id": 11999, "sequence_id": 238, "annotations": []}
{"role": "student", "content": "E", "session_id": 11999, "sequence_id": 239, "annotations": []}
{"role": "student", "content": "Oh, I did that by accident.", "session_id": 11999, "sequence_id": 240, "annotations": []}
{"role": "student", "content": "OK I'm them", "session_id": 11999, "sequence_id": 241, "annotations": []}
{"role": "volunteer", "content": "OK, yeah, it's fine. Um, OK", "session_id": 11999, "sequence_id": 242, "annotations": []}
{"role": "volunteer", "content": "So now we have the 0.00. So we can just graph, like plot it on the graph, so it would be over there.", "session_id": 11999, "sequence_id": 243, "annotations": []}
{"role": "volunteer", "content": "Um, and then we can find another point. So, for example, one, something, so this would mean X is 1, and then we would have to find the why. So,", "session_id": 11999, "sequence_id": 244, "annotations": []}
{"role": "volunteer", "content": "um,", "session_id": 11999, "sequence_id": 245, "annotations": []}
{"role": "volunteer", "content": "if X was one, then what do you think Y would be?", "session_id": 11999, "sequence_id": 246, "annotations": []}
{"role": "student", "content": "3", "session_id": 11999, "sequence_id": 247, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 11999, "sequence_id": 248, "annotations": []}
{"role": "student", "content": "Let's see", "session_id": 11999, "sequence_id": 249, "annotations": []}
{"role": "volunteer", "content": "OK. So then you would have 13.", "session_id": 11999, "sequence_id": 250, "annotations": []}
{"role": "volunteer", "content": "Does that make sense", "session_id": 11999, "sequence_id": 251, "annotations": []}
{"role": "student", "content": "I", "session_id": 11999, "sequence_id": 252, "annotations": []}
{"role": "student", "content": "Oh, you're just putting random numbers onto the first side, like the first number.", "session_id": 11999, "sequence_id": 253, "annotations": []}
{"role": "volunteer", "content": "Yeah, the first, yeah, the first number is the X value. So it would be like everything on the X-axis, which is over here. So I'm just like choosing random points on the X-axis and then we can find the Y one and then we can plot the points.", "session_id": 11999, "sequence_id": 254, "annotations": []}
{"role": "student", "content": "Oh OK", "session_id": 11999, "sequence_id": 255, "annotations": []}
{"role": "student", "content": "OK. OK, thank you.", "session_id": 11999, "sequence_id": 256, "annotations": []}
{"role": "volunteer", "content": "Yeah, OK", "session_id": 11999, "sequence_id": 257, "annotations": []}
{"role": "volunteer", "content": "Um", "session_id": 11999, "sequence_id": 258, "annotations": []}
{"role": "student", "content": "And", "session_id": 11999, "sequence_id": 259, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 11999, "sequence_id": 260, "annotations": []}
{"role": "volunteer", "content": "OK, so basically we would have 13, which should be over here.", "session_id": 11999, "sequence_id": 261, "annotations": []}
{"role": "volunteer", "content": "OK. Does that make sense?", "session_id": 11999, "sequence_id": 262, "annotations": []}
{"role": "student", "content": "Yeah, I understand it", "session_id": 11999, "sequence_id": 263, "annotations": []}
{"role": "volunteer", "content": "OK, that's good. Um, OK, so now I just find like one more point. So maybe to", "session_id": 11999, "sequence_id": 264, "annotations": []}
{"role": "volunteer", "content": "mama something. So", "session_id": 11999, "sequence_id": 265, "annotations": []}
{"role": "student", "content": "I'm sorry", "session_id": 11999, "sequence_id": 266, "annotations": []}
{"role": "volunteer", "content": "it's fine.", "session_id": 11999, "sequence_id": 267, "annotations": []}
{"role": "student", "content": "Mm", "session_id": 11999, "sequence_id": 268, "annotations": []}
{"role": "volunteer", "content": "OK, one sec", "session_id": 11999, "sequence_id": 269, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 11999, "sequence_id": 270, "annotations": []}
{"role": "volunteer", "content": "OK. So,", "session_id": 11999, "sequence_id": 271, "annotations": []}
{"role": "volunteer", "content": "if, I mean, if X was 2, then what would Y be?", "session_id": 11999, "sequence_id": 272, "annotations": []}
{"role": "student", "content": "Mm", "session_id": 11999, "sequence_id": 273, "annotations": []}
{"role": "student", "content": "6", "session_id": 11999, "sequence_id": 274, "annotations": []}
{"role": "student", "content": "32.", "session_id": 11999, "sequence_id": 275, "annotations": []}
{"role": "volunteer", "content": "So it would be like 2 squad and then you multiply it by 3.", "session_id": 11999, "sequence_id": 276, "annotations": []}
{"role": "volunteer", "content": "Does that make sense", "session_id": 11999, "sequence_id": 277, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 11999, "sequence_id": 278, "annotations": []}
{"role": "volunteer", "content": "OK, so what", "session_id": 11999, "sequence_id": 279, "annotations": []}
{"role": "volunteer", "content": "OK, so what is 2 squad?", "session_id": 11999, "sequence_id": 280, "annotations": []}
{"role": "student", "content": "4", "session_id": 11999, "sequence_id": 281, "annotations": []}
{"role": "volunteer", "content": "Yeah, and then 4 x 3.", "session_id": 11999, "sequence_id": 282, "annotations": []}
{"role": "student", "content": "12", "session_id": 11999, "sequence_id": 283, "annotations": []}
{"role": "volunteer", "content": "OK, yeah. So basically, why would be 12. So you'd have to comma as well.", "session_id": 11999, "sequence_id": 284, "annotations": []}
{"role": "student", "content": "OK", "session_id": 11999, "sequence_id": 285, "annotations": []}
{"role": "volunteer", "content": "Does that make sense? or do you have any questions?", "session_id": 11999, "sequence_id": 286, "annotations": []}
{"role": "volunteer", "content": "Yes.", "session_id": 11999, "sequence_id": 287, "annotations": []}
{"role": "student", "content": "Yeah, um, it makes sense. It makes sense.", "session_id": 11999, "sequence_id": 288, "annotations": []}
{"role": "volunteer", "content": "Mhm", "session_id": 11999, "sequence_id": 289, "annotations": []}
{"role": "volunteer", "content": "So", "session_id": 11999, "sequence_id": 290, "annotations": []}
{"role": "volunteer", "content": "um, if we try to like graph to 12, it's like outside of the graph because 12 is like pretty big. So,", "session_id": 11999, "sequence_id": 291, "annotations": []}
{"role": "volunteer", "content": "um I don't think we can grasp that, but we can just graph the points on the other side. So", "session_id": 11999, "sequence_id": 292, "annotations": []}
{"role": "volunteer", "content": "the axis of symmetries, like in the middle, so um", "session_id": 11999, "sequence_id": 293, "annotations": []}
{"role": "volunteer", "content": "we can just like plot the same points and then you can like draw the para", "session_id": 11999, "sequence_id": 294, "annotations": []}
{"role": "volunteer", "content": "bo", "session_id": 11999, "sequence_id": 295, "annotations": []}
{"role": "student", "content": "Wait, what? I'm sorry.", "session_id": 11999, "sequence_id": 296, "annotations": []}
{"role": "volunteer", "content": "Oh, that's fine. Um, OK, so you know the axis of symmetry, right?", "session_id": 11999, "sequence_id": 297, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 11999, "sequence_id": 298, "annotations": []}
{"role": "volunteer", "content": "Yeah. So, um, where would it be in this graph?", "session_id": 11999, "sequence_id": 299, "annotations": []}
{"role": "student", "content": "At the serum", "session_id": 11999, "sequence_id": 300, "annotations": []}
{"role": "volunteer", "content": "Yeah, so", "session_id": 11999, "sequence_id": 301, "annotations": []}
{"role": "volunteer", "content": "um, it would be like in the middle, and then", "session_id": 11999, "sequence_id": 302, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 11999, "sequence_id": 303, "annotations": []}
{"role": "student", "content": "but the", "session_id": 11999, "sequence_id": 304, "annotations": []}
{"role": "volunteer", "content": "remember how I said like", "session_id": 11999, "sequence_id": 305, "annotations": []}
{"role": "student", "content": "I'm sorry, I'm sorry.", "session_id": 11999, "sequence_id": 306, "annotations": []}
{"role": "volunteer", "content": "Oh no, no, it's fine. Do you have a question?", "session_id": 11999, "sequence_id": 307, "annotations": []}
{"role": "student", "content": "I was gonna say like the the uh the axis sym symmetry is like in the middle, like the street line, right?", "session_id": 11999, "sequence_id": 308, "annotations": []}
{"role": "student", "content": "OK", "session_id": 11999, "sequence_id": 309, "annotations": []}
{"role": "volunteer", "content": "Um, yeah, so for all graphs, it's not always in the middle, but for these graphs that we're doing, they're in the middle.", "session_id": 11999, "sequence_id": 310, "annotations": []}
{"role": "student", "content": "OK", "session_id": 11999, "sequence_id": 311, "annotations": []}
{"role": "volunteer", "content": "Yeah.", "session_id": 11999, "sequence_id": 312, "annotations": []}
{"role": "volunteer", "content": "Um", "session_id": 11999, "sequence_id": 313, "annotations": []}
{"role": "volunteer", "content": "so basically, for the axis of symmetry, the points to the right of it are like.", "session_id": 11999, "sequence_id": 314, "annotations": []}
{"role": "volunteer", "content": "symmetrical to the points on the left. So we can just draw the points that are symmetrical, so we would also have a point over here. Does that make sense?", "session_id": 11999, "sequence_id": 315, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 11999, "sequence_id": 316, "annotations": []}
{"role": "volunteer", "content": "OK. And then, since we have like enough points, we can just connect all the points and then draw a parabola.", "session_id": 11999, "sequence_id": 317, "annotations": []}
{"role": "volunteer", "content": "So we could just do like something like that.", "session_id": 11999, "sequence_id": 318, "annotations": []}
{"role": "volunteer", "content": "Does that make sense?", "session_id": 11999, "sequence_id": 319, "annotations": []}
{"role": "student", "content": "Yeah, it makes sense.", "session_id": 11999, "sequence_id": 320, "annotations": []}
{"role": "volunteer", "content": "Yeah.", "session_id": 11999, "sequence_id": 321, "annotations": []}
{"role": "volunteer", "content": "Um, OK", "session_id": 11999, "sequence_id": 322, "annotations": []}
{"role": "volunteer", "content": "OK. Um, we can just do number 3 now.", "session_id": 11999, "sequence_id": 323, "annotations": []}
{"role": "volunteer", "content": "Mm", "session_id": 11999, "sequence_id": 324, "annotations": []}
{"role": "student", "content": "OK", "session_id": 11999, "sequence_id": 325, "annotations": []}
{"role": "volunteer", "content": "OK. So we, we can just do like the same thing. So let's just start with 0.", "session_id": 11999, "sequence_id": 326, "annotations": []}
{"role": "volunteer", "content": "Um", "session_id": 11999, "sequence_id": 327, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 11999, "sequence_id": 328, "annotations": []}
{"role": "volunteer", "content": "So", "session_id": 11999, "sequence_id": 329, "annotations": []}
{"role": "volunteer", "content": "so if X is 0, then what would Y be?", "session_id": 11999, "sequence_id": 330, "annotations": []}
{"role": "student", "content": "Uh, I think it's, uh, 33.", "session_id": 11999, "sequence_id": 331, "annotations": []}
{"role": "student", "content": "and", "session_id": 11999, "sequence_id": 332, "annotations": []}
{"role": "volunteer", "content": "Mm.", "session_id": 11999, "sequence_id": 333, "annotations": []}
{"role": "volunteer", "content": "So,", "session_id": 11999, "sequence_id": 334, "annotations": []}
{"role": "student", "content": "6", "session_id": 11999, "sequence_id": 335, "annotations": []}
{"role": "volunteer", "content": "OK, what would 02 be?", "session_id": 11999, "sequence_id": 336, "annotations": []}
{"role": "student", "content": "0", "session_id": 11999, "sequence_id": 337, "annotations": []}
{"role": "volunteer", "content": "Yeah, and then basically 0, it would be like 0 times 1/3.", "session_id": 11999, "sequence_id": 338, "annotations": []}
{"role": "volunteer", "content": "but 0 times anything is just 0. So it would just be 0. Does that make sense?", "session_id": 11999, "sequence_id": 339, "annotations": []}
{"role": "student", "content": "Yeah.", "session_id": 11999, "sequence_id": 340, "annotations": []}
{"role": "volunteer", "content": "OK, yeah", "session_id": 11999, "sequence_id": 341, "annotations": []}
{"role": "volunteer", "content": "So", "session_id": 11999, "sequence_id": 342, "annotations": []}
{"role": "volunteer", "content": "then we have 0.0, which is the first point.", "session_id": 11999, "sequence_id": 343, "annotations": []}
{"role": "volunteer", "content": "Do you want time to like write it down", "session_id": 11999, "sequence_id": 344, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 11999, "sequence_id": 345, "annotations": []}
{"role": "volunteer", "content": "OK, and ask me if you have any questions.", "session_id": 11999, "sequence_id": 346, "annotations": []}
{"role": "student", "content": "OK", "session_id": 11999, "sequence_id": 347, "annotations": []}
{"role": "student", "content": "OK, I'm good", "session_id": 11999, "sequence_id": 348, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 11999, "sequence_id": 349, "annotations": []}
{"role": "volunteer", "content": "So now let's do", "session_id": 11999, "sequence_id": 350, "annotations": []}
{"role": "volunteer", "content": "one something.", "session_id": 11999, "sequence_id": 351, "annotations": []}
{"role": "volunteer", "content": "So if X is 1, what would y be?", "session_id": 11999, "sequence_id": 352, "annotations": []}
{"role": "student", "content": "Uh, when", "session_id": 11999, "sequence_id": 353, "annotations": []}
{"role": "volunteer", "content": "So this is like a bit more complicated because it's a fraction.", "session_id": 11999, "sequence_id": 354, "annotations": []}
{"role": "volunteer", "content": "So first, what would one squared be?", "session_id": 11999, "sequence_id": 355, "annotations": []}
{"role": "student", "content": "Uh, one square is one.", "session_id": 11999, "sequence_id": 356, "annotations": []}
{"role": "student", "content": "yeah, just one", "session_id": 11999, "sequence_id": 357, "annotations": []}
{"role": "volunteer", "content": "Yeah, so then we'd have to do 1/3.", "session_id": 11999, "sequence_id": 358, "annotations": []}
{"role": "volunteer", "content": "times 1. So what would 1/3 times 1 be?", "session_id": 11999, "sequence_id": 359, "annotations": []}
{"role": "student", "content": "One", "session_id": 11999, "sequence_id": 360, "annotations": []}
{"role": "volunteer", "content": "Um", "session_id": 11999, "sequence_id": 361, "annotations": []}
{"role": "volunteer", "content": "so", "session_id": 11999, "sequence_id": 362, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 11999, "sequence_id": 363, "annotations": []}
{"role": "volunteer", "content": "basically, if you have like a number,", "session_id": 11999, "sequence_id": 364, "annotations": []}
{"role": "volunteer", "content": "the number is equal to that number over 1. Wait, let me just show you an example.", "session_id": 11999, "sequence_id": 365, "annotations": []}
{"role": "volunteer", "content": "So like if you have 5,", "session_id": 11999, "sequence_id": 366, "annotations": []}
{"role": "volunteer", "content": "5 would be equal to 5/1. Like it's like the same thing. Does that make sense?", "session_id": 11999, "sequence_id": 367, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 11999, "sequence_id": 368, "annotations": []}
{"role": "volunteer", "content": "Yeah, so basically I have one here. So one would be the same as 1/1.", "session_id": 11999, "sequence_id": 369, "annotations": []}
{"role": "volunteer", "content": "And then if you're multiplying a fraction first to multiply the numerator and then you multiply the denominator. So what would 1 times 1 be?", "session_id": 11999, "sequence_id": 370, "annotations": []}
{"role": "student", "content": "Uh, one", "session_id": 11999, "sequence_id": 371, "annotations": []}
{"role": "volunteer", "content": "Yeah, and then what would 3 times 1 be?", "session_id": 11999, "sequence_id": 372, "annotations": []}
{"role": "student", "content": "3", "session_id": 11999, "sequence_id": 373, "annotations": []}
{"role": "volunteer", "content": "Yeah, so basically 1/3 times 1 is just 1/3.", "session_id": 11999, "sequence_id": 374, "annotations": []}
{"role": "student", "content": "OK", "session_id": 11999, "sequence_id": 375, "annotations": []}
{"role": "volunteer", "content": "Yeah.", "session_id": 11999, "sequence_id": 376, "annotations": []}
{"role": "volunteer", "content": "OK. Um, so then our next point would be", "session_id": 11999, "sequence_id": 377, "annotations": []}
{"role": "volunteer", "content": "um", "session_id": 11999, "sequence_id": 378, "annotations": []}
{"role": "volunteer", "content": "11/3.", "session_id": 11999, "sequence_id": 379, "annotations": []}
{"role": "student", "content": "Oh, let me write that down.", "session_id": 11999, "sequence_id": 380, "annotations": []}
{"role": "volunteer", "content": "OK, yeah", "session_id": 11999, "sequence_id": 381, "annotations": []}
{"role": "student", "content": "All right", "session_id": 11999, "sequence_id": 382, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 11999, "sequence_id": 383, "annotations": []}
{"role": "volunteer", "content": "OK, great. So now we can choose", "session_id": 11999, "sequence_id": 384, "annotations": []}
{"role": "volunteer", "content": "um", "session_id": 11999, "sequence_id": 385, "annotations": []}
{"role": "volunteer", "content": "one more point. Wait, first let me graph11/3.", "session_id": 11999, "sequence_id": 386, "annotations": []}
{"role": "volunteer", "content": "It'd be like over there", "session_id": 11999, "sequence_id": 387, "annotations": []}
{"role": "volunteer", "content": "Um", "session_id": 11999, "sequence_id": 388, "annotations": []}
{"role": "student", "content": "So it's in between", "session_id": 11999, "sequence_id": 389, "annotations": []}
{"role": "volunteer", "content": "huh", "session_id": 11999, "sequence_id": 390, "annotations": []}
{"role": "student", "content": "It's in between the graph, like in between", "session_id": 11999, "sequence_id": 391, "annotations": []}
{"role": "student", "content": "days.", "session_id": 11999, "sequence_id": 392, "annotations": []}
{"role": "volunteer", "content": "Yeah, um, basically, um", "session_id": 11999, "sequence_id": 393, "annotations": []}
{"role": "volunteer", "content": "each like", "session_id": 11999, "sequence_id": 394, "annotations": []}
{"role": "volunteer", "content": "we're graphing it so that each unit on the graph is one. So basically, this would be 0 and then this is 1, and then 2", "session_id": 11999, "sequence_id": 395, "annotations": []}
{"role": "volunteer", "content": "3", "session_id": 11999, "sequence_id": 396, "annotations": []}
{"role": "volunteer", "content": "456. So since 1/3 is like between 0 and 1. it's gonna be like between", "session_id": 11999, "sequence_id": 397, "annotations": []}
{"role": "volunteer", "content": "like this, um, between both of those points. Does that make sense?", "session_id": 11999, "sequence_id": 398, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 11999, "sequence_id": 399, "annotations": []}
{"role": "volunteer", "content": "OK.", "session_id": 11999, "sequence_id": 400, "annotations": []}
{"role": "volunteer", "content": "OK, so", "session_id": 11999, "sequence_id": 401, "annotations": []}
{"role": "student", "content": "Sorry", "session_id": 11999, "sequence_id": 402, "annotations": []}
{"role": "volunteer", "content": "um, OK, now let's choose a new point. So", "session_id": 11999, "sequence_id": 403, "annotations": []}
{"role": "volunteer", "content": "let's do", "session_id": 11999, "sequence_id": 404, "annotations": []}
{"role": "volunteer", "content": "um 2", "session_id": 11999, "sequence_id": 405, "annotations": []}
{"role": "volunteer", "content": "something", "session_id": 11999, "sequence_id": 406, "annotations": []}
{"role": "volunteer", "content": "OK.", "session_id": 11999, "sequence_id": 407, "annotations": []}
{"role": "volunteer", "content": "So,", "session_id": 11999, "sequence_id": 408, "annotations": []}
{"role": "volunteer", "content": "um,", "session_id": 11999, "sequence_id": 409, "annotations": []}
{"role": "volunteer", "content": "now X is gonna be 2. So if X is 2, what would Y be?", "session_id": 11999, "sequence_id": 410, "annotations": []}
{"role": "student", "content": "Um", "session_id": 11999, "sequence_id": 411, "annotations": []}
{"role": "student", "content": "uh", "session_id": 11999, "sequence_id": 412, "annotations": []}
{"role": "student", "content": "is it the same thing, same thing like uh last time.", "session_id": 11999, "sequence_id": 413, "annotations": []}
{"role": "student", "content": "I was gonna.", "session_id": 11999, "sequence_id": 414, "annotations": []}
{"role": "volunteer", "content": "Oh yeah, it's always just like.", "session_id": 11999, "sequence_id": 415, "annotations": []}
{"role": "volunteer", "content": "Yeah, what were you saying", "session_id": 11999, "sequence_id": 416, "annotations": []}
{"role": "student", "content": "uh, I was gonna like say 4.", "session_id": 11999, "sequence_id": 417, "annotations": []}
{"role": "student", "content": "because I'm too squared is 4, and then", "session_id": 11999, "sequence_id": 418, "annotations": []}
{"role": "student", "content": "I think you, you said multiply it.", "session_id": 11999, "sequence_id": 419, "annotations": []}
{"role": "student", "content": "by", "session_id": 11999, "sequence_id": 420, "annotations": []}
{"role": "student", "content": "1/3", "session_id": 11999, "sequence_id": 421, "annotations": []}
{"role": "volunteer", "content": "No", "session_id": 11999, "sequence_id": 422, "annotations": []}
{"role": "student", "content": "That I might be wrong cause I'm not sure.", "session_id": 11999, "sequence_id": 423, "annotations": []}
{"role": "volunteer", "content": "Yeah, you're right. Um, it's like", "session_id": 11999, "sequence_id": 424, "annotations": []}
{"role": "volunteer", "content": "Yeah, it's um 2 squared, it's gonna be 4, and then since this time you're multiplying it by 1/3 instead of 3, so you do 4 times 1/3, and then you get the answer. So", "session_id": 11999, "sequence_id": 425, "annotations": []}
{"role": "volunteer", "content": "um, what do you think 1/3 times 4 is.", "session_id": 11999, "sequence_id": 426, "annotations": []}
{"role": "student", "content": "43", "session_id": 11999, "sequence_id": 427, "annotations": []}
{"role": "volunteer", "content": "Yeah, that's right", "session_id": 11999, "sequence_id": 428, "annotations": []}
{"role": "volunteer", "content": "Mm", "session_id": 11999, "sequence_id": 429, "annotations": []}
{"role": "student", "content": "Oh, OK. OK.", "session_id": 11999, "sequence_id": 430, "annotations": []}
{"role": "volunteer", "content": "It's just like one times 4 is 4 and then 3 times 1 is 3, so.", "session_id": 11999, "sequence_id": 431, "annotations": []}
{"role": "student", "content": "OK, OK.", "session_id": 11999, "sequence_id": 432, "annotations": []}
{"role": "volunteer", "content": "yeah, so you would have to", "session_id": 11999, "sequence_id": 433, "annotations": []}
{"role": "volunteer", "content": "karma for 3 and 4/3 is like", "session_id": 11999, "sequence_id": 434, "annotations": []}
{"role": "volunteer", "content": "an improper fraction, so it would be the same as 1 and 1/3.", "session_id": 11999, "sequence_id": 435, "annotations": []}
{"role": "volunteer", "content": "So you'd have 21 and 1/3. Does that make sense?", "session_id": 11999, "sequence_id": 436, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 11999, "sequence_id": 437, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 11999, "sequence_id": 438, "annotations": []}
{"role": "student", "content": "Let me write that one down to.", "session_id": 11999, "sequence_id": 439, "annotations": []}
{"role": "volunteer", "content": "OK, yeah", "session_id": 11999, "sequence_id": 440, "annotations": []}
{"role": "student", "content": "And then wait", "session_id": 11999, "sequence_id": 441, "annotations": []}
{"role": "student", "content": "Oh never mind", "session_id": 11999, "sequence_id": 442, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 11999, "sequence_id": 443, "annotations": []}
{"role": "volunteer", "content": "Um", "session_id": 11999, "sequence_id": 444, "annotations": []}
{"role": "volunteer", "content": "OK, so now you have 2 and 1 and 1/3. Do you have any questions, by the way?", "session_id": 11999, "sequence_id": 445, "annotations": []}
{"role": "student", "content": "Mm", "session_id": 11999, "sequence_id": 446, "annotations": []}
{"role": "student", "content": "we are he's just like, OK, so the other, the one that", "session_id": 11999, "sequence_id": 447, "annotations": []}
{"role": "student", "content": "can I like circle your", "session_id": 11999, "sequence_id": 448, "annotations": []}
{"role": "volunteer", "content": "Yeah, you can", "session_id": 11999, "sequence_id": 449, "annotations": []}
{"role": "student", "content": "eye", "session_id": 11999, "sequence_id": 450, "annotations": []}
{"role": "student", "content": "I don't wanna mess up your um", "session_id": 11999, "sequence_id": 451, "annotations": []}
{"role": "volunteer", "content": "It's OK.", "session_id": 11999, "sequence_id": 452, "annotations": []}
{"role": "student", "content": "I don't wanna miss anything out though. OK, let me try", "session_id": 11999, "sequence_id": 453, "annotations": []}
{"role": "volunteer", "content": "It's OK", "session_id": 11999, "sequence_id": 454, "annotations": []}
{"role": "student", "content": "I I", "session_id": 11999, "sequence_id": 455, "annotations": []}
{"role": "volunteer", "content": "We can just like fix it later.", "session_id": 11999, "sequence_id": 456, "annotations": []}
{"role": "student", "content": "uh, you put this into like", "session_id": 11999, "sequence_id": 457, "annotations": []}
{"role": "student", "content": "oops", "session_id": 11999, "sequence_id": 458, "annotations": []}
{"role": "student", "content": "OK, so the one that I circle, you just add it to the end, the answer that we just did.", "session_id": 11999, "sequence_id": 459, "annotations": []}
{"role": "volunteer", "content": "Um, no, wait, so, basically we have 1 1/3, which is", "session_id": 11999, "sequence_id": 460, "annotations": []}
{"role": "volunteer", "content": "this point that I graph. Do you see that?", "session_id": 11999, "sequence_id": 461, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 11999, "sequence_id": 462, "annotations": []}
{"role": "volunteer", "content": "Yeah, so then we found um a new point. So basically, it is 2 4/3.", "session_id": 11999, "sequence_id": 463, "annotations": []}
{"role": "volunteer", "content": "um, and this is like the new point, but I just um wrote 4/3 is in like improper fraction, right?", "session_id": 11999, "sequence_id": 464, "annotations": []}
{"role": "student", "content": "Mhm.", "session_id": 11999, "sequence_id": 465, "annotations": []}
{"role": "volunteer", "content": "So I just wrote 4/3 as 1 and 1/3.", "session_id": 11999, "sequence_id": 466, "annotations": []}
{"role": "volunteer", "content": "So 24/3 is the same as 21 and 1/3.", "session_id": 11999, "sequence_id": 467, "annotations": []}
{"role": "volunteer", "content": "Does that make sense? Like, there's still", "session_id": 11999, "sequence_id": 468, "annotations": []}
{"role": "volunteer", "content": "like both of these are like separate points.", "session_id": 11999, "sequence_id": 469, "annotations": []}
{"role": "volunteer", "content": "Um, this is like the same thing as 2 and 24/3.", "session_id": 11999, "sequence_id": 470, "annotations": []}
{"role": "student", "content": "has", "session_id": 11999, "sequence_id": 471, "annotations": []}
{"role": "student", "content": "one", "session_id": 11999, "sequence_id": 472, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 11999, "sequence_id": 473, "annotations": []}
{"role": "student", "content": "and 1/3", "session_id": 11999, "sequence_id": 474, "annotations": []}
{"role": "volunteer", "content": "yeah.", "session_id": 11999, "sequence_id": 475, "annotations": []}
{"role": "volunteer", "content": "It's like um uh like,", "session_id": 11999, "sequence_id": 476, "annotations": []}
{"role": "volunteer", "content": "mixed fraction", "session_id": 11999, "sequence_id": 477, "annotations": []}
{"role": "student", "content": "I understand it a little bit.", "session_id": 11999, "sequence_id": 478, "annotations": []}
{"role": "volunteer", "content": "OK, wait, um", "session_id": 11999, "sequence_id": 479, "annotations": []}
{"role": "volunteer", "content": "OK, so basically, we found um 1 1/3 by like", "session_id": 11999, "sequence_id": 480, "annotations": []}
{"role": "volunteer", "content": "using the one as an X, right?", "session_id": 11999, "sequence_id": 481, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 11999, "sequence_id": 482, "annotations": []}
{"role": "volunteer", "content": "Yeah, and then we got like that point.", "session_id": 11999, "sequence_id": 483, "annotations": []}
{"role": "volunteer", "content": "And then we basically wanted to find two, something.", "session_id": 11999, "sequence_id": 484, "annotations": []}
{"role": "volunteer", "content": "So then that's what we did below, right?", "session_id": 11999, "sequence_id": 485, "annotations": []}
{"role": "volunteer", "content": "Like the", "session_id": 11999, "sequence_id": 486, "annotations": []}
{"role": "volunteer", "content": "ones on the left are the X values.", "session_id": 11999, "sequence_id": 487, "annotations": []}
{"role": "volunteer", "content": "So first we did X is 0 and then we got Y is 0, so we're like.", "session_id": 11999, "sequence_id": 488, "annotations": []}
{"role": "volunteer", "content": "choosing different X values and trying to find um a", "session_id": 11999, "sequence_id": 489, "annotations": []}
{"role": "volunteer", "content": "Y value for each one.", "session_id": 11999, "sequence_id": 490, "annotations": []}
{"role": "volunteer", "content": "So first we had 0 as our x value.", "session_id": 11999, "sequence_id": 491, "annotations": []}
{"role": "volunteer", "content": "And then we um plugged in the 0.", "session_id": 11999, "sequence_id": 492, "annotations": []}
{"role": "volunteer", "content": "and we got Y equals 0.", "session_id": 11999, "sequence_id": 493, "annotations": []}
{"role": "volunteer", "content": "right?", "session_id": 11999, "sequence_id": 494, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 11999, "sequence_id": 495, "annotations": []}
{"role": "volunteer", "content": "Yeah, and then we did the same thing for the one, so we did.", "session_id": 11999, "sequence_id": 496, "annotations": []}
{"role": "volunteer", "content": "Y equals 1/3.", "session_id": 11999, "sequence_id": 497, "annotations": []}
{"role": "volunteer", "content": "times 12, and then we got 1/3, right?", "session_id": 11999, "sequence_id": 498, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 11999, "sequence_id": 499, "annotations": []}
{"role": "volunteer", "content": "Yeah, and then we're doing the same thing for the two, so we're doing Y equals 1/3 times 22. And then remember how we got 4/3 for that.", "session_id": 11999, "sequence_id": 500, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 11999, "sequence_id": 501, "annotations": []}
{"role": "volunteer", "content": "So then that would mean that this point is 24/3.", "session_id": 11999, "sequence_id": 502, "annotations": []}
{"role": "volunteer", "content": "Right.", "session_id": 11999, "sequence_id": 503, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 11999, "sequence_id": 504, "annotations": []}
{"role": "student", "content": "Yeah, yeah. I understand. Yeah, I understand.", "session_id": 11999, "sequence_id": 505, "annotations": []}
{"role": "volunteer", "content": "Yeah, so then basically what I did is I just did", "session_id": 11999, "sequence_id": 506, "annotations": []}
{"role": "volunteer", "content": "like 4/3 is the same thing as 1 and 1/3, like it's equivalent.", "session_id": 11999, "sequence_id": 507, "annotations": []}
{"role": "volunteer", "content": "to that.", "session_id": 11999, "sequence_id": 508, "annotations": []}
{"role": "student", "content": "OK", "session_id": 11999, "sequence_id": 509, "annotations": []}
{"role": "volunteer", "content": "So then I got to comma 1 and 1/3. Does that make sense?", "session_id": 11999, "sequence_id": 510, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 11999, "sequence_id": 511, "annotations": []}
{"role": "volunteer", "content": "OK.", "session_id": 11999, "sequence_id": 512, "annotations": []}
{"role": "student", "content": "So", "session_id": 11999, "sequence_id": 513, "annotations": []}
{"role": "volunteer", "content": "So", "session_id": 11999, "sequence_id": 514, "annotations": []}
{"role": "student", "content": "you, sorry, you", "session_id": 11999, "sequence_id": 515, "annotations": []}
{"role": "student", "content": "you just, uh, OK, so the, the, this is a 2 is the X of the um.", "session_id": 11999, "sequence_id": 516, "annotations": []}
{"role": "student", "content": "2 is the X.", "session_id": 11999, "sequence_id": 517, "annotations": []}
{"role": "volunteer", "content": "yeah, 2 is the X of 4/3.", "session_id": 11999, "sequence_id": 518, "annotations": []}
{"role": "student", "content": "And then you, you just put, you just find any number on the on the graph, like any number on the X.", "session_id": 11999, "sequence_id": 519, "annotations": []}
{"role": "student", "content": "Um", "session_id": 11999, "sequence_id": 520, "annotations": []}
{"role": "student", "content": "value", "session_id": 11999, "sequence_id": 521, "annotations": []}
{"role": "volunteer", "content": "Yeah.", "session_id": 11999, "sequence_id": 522, "annotations": []}
{"role": "student", "content": "OK, I unders. OK.", "session_id": 11999, "sequence_id": 523, "annotations": []}
{"role": "volunteer", "content": "Yeah, you can, yeah, you just choose any number on the X axis, and then we can find a number for the Y.", "session_id": 11999, "sequence_id": 524, "annotations": []}
{"role": "student", "content": "OK", "session_id": 11999, "sequence_id": 525, "annotations": []}
{"role": "volunteer", "content": "Yeah.", "session_id": 11999, "sequence_id": 526, "annotations": []}
{"role": "volunteer", "content": "OK. Um", "session_id": 11999, "sequence_id": 527, "annotations": []}
{"role": "volunteer", "content": "so", "session_id": 11999, "sequence_id": 528, "annotations": []}
{"role": "volunteer", "content": "then we can just", "session_id": 11999, "sequence_id": 529, "annotations": []}
{"role": "volunteer", "content": "we, we can just graph 2 and 2 and 4/3.", "session_id": 11999, "sequence_id": 530, "annotations": []}
{"role": "volunteer", "content": "So then we would get the point over there.", "session_id": 11999, "sequence_id": 531, "annotations": []}
{"role": "volunteer", "content": "Does that make sense", "session_id": 11999, "sequence_id": 532, "annotations": []}
{"role": "student", "content": "What did you say? I'm sorry", "session_id": 11999, "sequence_id": 533, "annotations": []}
{"role": "volunteer", "content": "Yeah, um, so I just graphed the point 24/3.", "session_id": 11999, "sequence_id": 534, "annotations": []}
{"role": "student", "content": "Mm", "session_id": 11999, "sequence_id": 535, "annotations": []}
{"role": "volunteer", "content": "Like a graphed the point over here.", "session_id": 11999, "sequence_id": 536, "annotations": []}
{"role": "volunteer", "content": "Wait", "session_id": 11999, "sequence_id": 537, "annotations": []}
{"role": "volunteer", "content": "over here", "session_id": 11999, "sequence_id": 538, "annotations": []}
{"role": "student", "content": "All right, good. Oh", "session_id": 11999, "sequence_id": 539, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 11999, "sequence_id": 540, "annotations": []}
{"role": "volunteer", "content": "I, I plotted it. I plotted it on the graph.", "session_id": 11999, "sequence_id": 541, "annotations": []}
{"role": "volunteer", "content": "Does that make sense", "session_id": 11999, "sequence_id": 542, "annotations": []}
{"role": "student", "content": "we", "session_id": 11999, "sequence_id": 543, "annotations": []}
{"role": "student", "content": "uh, which point is that?", "session_id": 11999, "sequence_id": 544, "annotations": []}
{"role": "volunteer", "content": "Um, it's", "session_id": 11999, "sequence_id": 545, "annotations": []}
{"role": "volunteer", "content": "so this is", "session_id": 11999, "sequence_id": 546, "annotations": []}
{"role": "volunteer", "content": "this point", "session_id": 11999, "sequence_id": 547, "annotations": []}
{"role": "volunteer", "content": "over there", "session_id": 11999, "sequence_id": 548, "annotations": []}
{"role": "student", "content": "And then you point me to for like between 43, we went to x and y between 2, right?", "session_id": 11999, "sequence_id": 549, "annotations": []}
{"role": "volunteer", "content": "Yeah, we plotted it.", "session_id": 11999, "sequence_id": 550, "annotations": []}
{"role": "student", "content": "OK", "session_id": 11999, "sequence_id": 551, "annotations": []}
{"role": "volunteer", "content": "Yeah.", "session_id": 11999, "sequence_id": 552, "annotations": []}
{"role": "volunteer", "content": "OK. Do you have any, do you have any questions?", "session_id": 11999, "sequence_id": 553, "annotations": []}
{"role": "student", "content": "No.", "session_id": 11999, "sequence_id": 554, "annotations": []}
{"role": "volunteer", "content": "OK.", "session_id": 11999, "sequence_id": 555, "annotations": []}
{"role": "volunteer", "content": "So", "session_id": 11999, "sequence_id": 556, "annotations": []}
{"role": "volunteer", "content": "now", "session_id": 11999, "sequence_id": 557, "annotations": []}
{"role": "volunteer", "content": "we can do the same thing with the axis of symmetry. So where would that be? Here.", "session_id": 11999, "sequence_id": 558, "annotations": []}
{"role": "student", "content": "Sorry", "session_id": 11999, "sequence_id": 559, "annotations": []}
{"role": "volunteer", "content": "It's", "session_id": 11999, "sequence_id": 560, "annotations": []}
{"role": "student", "content": "What, what, what was your question?", "session_id": 11999, "sequence_id": 561, "annotations": []}
{"role": "volunteer", "content": "Um, so where would the axis of symmetry be here?", "session_id": 11999, "sequence_id": 562, "annotations": []}
{"role": "volunteer", "content": "Remember like the um online.", "session_id": 11999, "sequence_id": 563, "annotations": []}
{"role": "volunteer", "content": "down the middle that", "session_id": 11999, "sequence_id": 564, "annotations": []}
{"role": "volunteer", "content": "we like the um", "session_id": 11999, "sequence_id": 565, "annotations": []}
{"role": "volunteer", "content": "the points were like symmetrical and everything.", "session_id": 11999, "sequence_id": 566, "annotations": []}
{"role": "student", "content": "Uh, at the 0", "session_id": 11999, "sequence_id": 567, "annotations": []}
{"role": "volunteer", "content": "Yeah.", "session_id": 11999, "sequence_id": 568, "annotations": []}
{"role": "volunteer", "content": "So then", "session_id": 11999, "sequence_id": 569, "annotations": []}
{"role": "volunteer", "content": "we here", "session_id": 11999, "sequence_id": 570, "annotations": []}
{"role": "student", "content": "I'm just looking for", "session_id": 11999, "sequence_id": 571, "annotations": []}
{"role": "volunteer", "content": "Yeah, what were you saying", "session_id": 11999, "sequence_id": 572, "annotations": []}
{"role": "student", "content": "I have notes from my school. I'm just looking at my notes so they can help me on it.", "session_id": 11999, "sequence_id": 573, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 11999, "sequence_id": 574, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 11999, "sequence_id": 575, "annotations": []}
{"role": "student", "content": "Is that OK", "session_id": 11999, "sequence_id": 576, "annotations": []}
{"role": "volunteer", "content": "Yeah, that's fine", "session_id": 11999, "sequence_id": 577, "annotations": []}
{"role": "student", "content": "OK", "session_id": 11999, "sequence_id": 578, "annotations": []}
{"role": "volunteer", "content": "OK. Um", "session_id": 11999, "sequence_id": 579, "annotations": []}
{"role": "volunteer", "content": "so now we can just", "session_id": 11999, "sequence_id": 580, "annotations": []}
{"role": "volunteer", "content": "plot the points and symmetrical.", "session_id": 11999, "sequence_id": 581, "annotations": []}
{"role": "volunteer", "content": "So, the points on the right would be symmetrical to the points on the left of the axis of symmetry.", "session_id": 11999, "sequence_id": 582, "annotations": []}
{"role": "volunteer", "content": "So", "session_id": 11999, "sequence_id": 583, "annotations": []}
{"role": "volunteer", "content": "you would", "session_id": 11999, "sequence_id": 584, "annotations": []}
{"role": "volunteer", "content": "it would be like", "session_id": 11999, "sequence_id": 585, "annotations": []}
{"role": "volunteer", "content": "over there. Does that make sense?", "session_id": 11999, "sequence_id": 586, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 11999, "sequence_id": 587, "annotations": []}
{"role": "student", "content": "So we just copying", "session_id": 11999, "sequence_id": 588, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 11999, "sequence_id": 589, "annotations": []}
{"role": "student", "content": "the other side", "session_id": 11999, "sequence_id": 590, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 11999, "sequence_id": 591, "annotations": []}
{"role": "student", "content": "OK, it makes sense.", "session_id": 11999, "sequence_id": 592, "annotations": []}
{"role": "volunteer", "content": "Yeah. OK, and then we can draw the parabola.", "session_id": 11999, "sequence_id": 593, "annotations": []}
{"role": "volunteer", "content": "through all of the points", "session_id": 11999, "sequence_id": 594, "annotations": []}
{"role": "volunteer", "content": "So it'd be like that", "session_id": 11999, "sequence_id": 595, "annotations": []}
{"role": "student", "content": "Well, I think I understand you a little bit.", "session_id": 11999, "sequence_id": 596, "annotations": []}
{"role": "volunteer", "content": "OK, that's great", "session_id": 11999, "sequence_id": 597, "annotations": []}
{"role": "volunteer", "content": "Um, OK. Do you have any more questions?", "session_id": 11999, "sequence_id": 598, "annotations": []}
{"role": "student", "content": "Uh no", "session_id": 11999, "sequence_id": 599, "annotations": []}
{"role": "volunteer", "content": "OK, great", "session_id": 11999, "sequence_id": 600, "annotations": []}
{"role": "volunteer", "content": "Um", "session_id": 11999, "sequence_id": 601, "annotations": []}
{"role": "volunteer", "content": "hm.", "session_id": 11999, "sequence_id": 602, "annotations": []}
{"role": "volunteer", "content": "OK. Are there any more problems that you wanna do?", "session_id": 11999, "sequence_id": 603, "annotations": []}
{"role": "student", "content": "I was gonna do some tomorrow, but I'm not sure if we're gonna like have it together to um", "session_id": 11999, "sequence_id": 604, "annotations": []}
{"role": "student", "content": "again with they said um on the website it said I can like", "session_id": 11999, "sequence_id": 605, "annotations": []}
{"role": "student", "content": "um make you my favorite.", "session_id": 11999, "sequence_id": 606, "annotations": []}
{"role": "student", "content": "So in the future, you can come again, if that makes sense.", "session_id": 11999, "sequence_id": 607, "annotations": []}
{"role": "volunteer", "content": "Oh yeah, um, you can, yeah, you can like, if you favorite me, I think that.", "session_id": 11999, "sequence_id": 608, "annotations": []}
{"role": "volunteer", "content": "I will like get all of your requests.", "session_id": 11999, "sequence_id": 609, "annotations": []}
{"role": "volunteer", "content": "Um, so you can do that and then if we like, if I don't get it, then I can message you myself.", "session_id": 11999, "sequence_id": 610, "annotations": []}
{"role": "student", "content": "Message me", "session_id": 11999, "sequence_id": 611, "annotations": []}
{"role": "volunteer", "content": "Yeah, like on the website, um, I can", "session_id": 11999, "sequence_id": 612, "annotations": []}
{"role": "volunteer", "content": "like, you know the chat that we have here.", "session_id": 11999, "sequence_id": 613, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 11999, "sequence_id": 614, "annotations": []}
{"role": "volunteer", "content": "Yeah, I can like, um, you can like", "session_id": 11999, "sequence_id": 615, "annotations": []}
{"role": "volunteer", "content": "go back to like your old chats, so I can message you on this chat too.", "session_id": 11999, "sequence_id": 616, "annotations": []}
{"role": "volunteer", "content": "Yeah.", "session_id": 11999, "sequence_id": 617, "annotations": []}
{"role": "student", "content": "Oh, that's cool. OK.", "session_id": 11999, "sequence_id": 618, "annotations": []}
{"role": "volunteer", "content": "But you should probably like um", "session_id": 11999, "sequence_id": 619, "annotations": []}
{"role": "volunteer", "content": "so if you favorite me, and then tomorrow you put in a new request and I'll probably see it.", "session_id": 11999, "sequence_id": 620, "annotations": []}
{"role": "student", "content": "OK", "session_id": 11999, "sequence_id": 621, "annotations": []}
{"role": "volunteer", "content": "Um, OK. So, are you like gonna do that around like the same time?", "session_id": 11999, "sequence_id": 622, "annotations": []}
{"role": "student", "content": "Like now, I would do it after. I'll do it when", "session_id": 11999, "sequence_id": 623, "annotations": []}
{"role": "student", "content": "when we end this session, I'll do it.", "session_id": 11999, "sequence_id": 624, "annotations": []}
{"role": "volunteer", "content": "Oh yeah, but, OK, wait, so you wanted to do the other problems tomorrow, right?", "session_id": 11999, "sequence_id": 625, "annotations": []}
{"role": "student", "content": "Yeah, that, the other problems is um", "session_id": 11999, "sequence_id": 626, "annotations": []}
{"role": "student", "content": "uh ex graphing graphymo points.", "session_id": 11999, "sequence_id": 627, "annotations": []}
{"role": "volunteer", "content": "OK, yeah. So tomorrow, do you like just wanna um do this like at the same time.", "session_id": 11999, "sequence_id": 628, "annotations": []}
{"role": "student", "content": "Yeah, at the same time it'll be fine.", "session_id": 11999, "sequence_id": 629, "annotations": []}
{"role": "volunteer", "content": "OK, so maybe you can like put in a request around this time, and then I can check.", "session_id": 11999, "sequence_id": 630, "annotations": []}
{"role": "student", "content": "OK", "session_id": 11999, "sequence_id": 631, "annotations": []}
{"role": "volunteer", "content": "OK.", "session_id": 11999, "sequence_id": 632, "annotations": []}
{"role": "student", "content": "I'm gonna do more, I'm gonna do more practice problems on my own, to see if I can get it.", "session_id": 11999, "sequence_id": 633, "annotations": []}
{"role": "volunteer", "content": "Yeah, OK", "session_id": 11999, "sequence_id": 634, "annotations": []}
{"role": "student", "content": "All right, thank you so much.", "session_id": 11999, "sequence_id": 635, "annotations": []}
{"role": "volunteer", "content": "OK, yeah. You're welcome. Have a great day.", "session_id": 11999, "sequence_id": 636, "annotations": []}
{"role": "student", "content": "All right", "session_id": 11999, "sequence_id": 637, "annotations": []}
{"role": "volunteer", "content": "Thank", "session_id": 11999, "sequence_id": 638, "annotations": []}
{"role": "student", "content": "Have a good night and good day.", "session_id": 11999, "sequence_id": 639, "annotations": []}
{"role": "volunteer", "content": "OK. OK, you too. Bye.", "session_id": 11999, "sequence_id": 640, "annotations": []}
{"role": "student", "content": "Bye", "session_id": 11999, "sequence_id": 641, "annotations": []}
{"role": "volunteer", "content": "good morning", "session_id": 12175, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "where are you located, i'm in Houston", "session_id": 12175, "sequence_id": 1, "annotations": [{"pii_type": "LOCATION", "surrogate": "Houston", "start": 30, "end": 37}]}
{"role": "volunteer", "content": "what is the problem you are working on", "session_id": 12175, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "hai", "session_id": 12175, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "im from  Seattle", "session_id": 12175, "sequence_id": 4, "annotations": [{"pii_type": "LOCATION", "surrogate": "Seattle", "start": 9, "end": 16}]}
{"role": "student", "content": "and i have a problem/ assignment", "session_id": 12175, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "this is a sample solution", "session_id": 12175, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "we do f-h\\", "session_id": 12175, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "but different like", "session_id": 12175, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "ano", "session_id": 12175, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "dimensions", "session_id": 12175, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "what problem are you struggling with, should we turn on the mics", "session_id": 12175, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "Ah, and", "session_id": 12175, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "I", "session_id": 12175, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "we", "session_id": 12175, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "you know, hi, the notion that we were given was basically, wait.", "session_id": 12175, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "I lost it. I had a screenshot of there's a why is it so lucky. 0, 14 by 13. OK. I guess we do have", "session_id": 12175, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "OK, uh,", "session_id": 12175, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 12175, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "OK", "session_id": 12175, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "hold on a minute, hold on a minute. OK, so, um", "session_id": 12175, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "you got 2 sheets here. I can't kind of read. OK, you have um", "session_id": 12175, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "sketch the rectangular material, I can see 10 inches by 6 inches.", "session_id": 12175, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "Um, but like where the box is like part C. I can't really see the labels here. Um,", "session_id": 12175, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "Yeah, see, I can't.", "session_id": 12175, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "Can you zoom", "session_id": 12175, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "OK, I'm going to try to, wait, where forboy. Oh, we don't really, uh, oh, we don't really mind cause my partner already did this. I will just like we will just prioritize doing the like the solving for volume until sketching cause my partner, they did it, she just needs confirmation because she was uh kind of", "session_id": 12175, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "paranoid and are like.", "session_id": 12175, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "the thing that we're now wait,", "session_id": 12175, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "the.", "session_id": 12175, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "oh my, why is the deadline next week. It's 14 by 13 inch.", "session_id": 12175, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "OK, I think we can.", "session_id": 12175, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "OK, just maybe zoom in on the problem that you want me to solve. That way you wanna work on.", "session_id": 12175, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "OK. Uh, we just use like the", "session_id": 12175, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "like the polynomial, so it becomes the of Sarah. It's just like 14.", "session_id": 12175, "sequence_id": 34, "annotations": [{"pii_type": "PERSON", "surrogate": "Sarah", "start": 42, "end": 47}]}
{"role": "student", "content": "14 minus 2 x 1314 by 13 so to go, yeah, 13", "session_id": 12175, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "minus 2 X.", "session_id": 12175, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "then", "session_id": 12175, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "which", "session_id": 12175, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "v(x)=(14-2x)(13-2x)(x)", "session_id": 12175, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 12175, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "X now, then we, we, the thing that I said, we solved it to become a polynomial, and then we, then we find the zeros of it and then we use, we find the turning points of the graph the using the quadratic formula, and then we do substitution in a way. OK.", "session_id": 12175, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "OK, so", "session_id": 12175, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "Let's cook. So the first thing we have to go.", "session_id": 12175, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 12175, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "yeah, the. I'm, I'm sorry.", "session_id": 12175, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "uh", "session_id": 12175, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "OK, so I see you, you look like you have this so for the zeros or 03, and 5. I'm just looking at your sheet.", "session_id": 12175, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "Um", "session_id": 12175, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "Nope", "session_id": 12175, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "now, what's uh, so what is the problem actually? What are we, I'm still not sure which, which you", "session_id": 12175, "sequence_id": 50, "annotations": []}
{"role": "student", "content": "Oh, the problem, what we're gonna do is basically our math teacher, our Ms. Davis, she gave us like a set of dimensions, and then we turned those dimensions and we make it into a graph and then our teacher just said to make it into the, to like the solution, we just have like the length and the width minus 2 X is like the function that I gave earlier that I texted.", "session_id": 12175, "sequence_id": 51, "annotations": [{"pii_type": "PERSON", "surrogate": "Ms. Davis", "start": 72, "end": 81}]}
{"role": "student", "content": "Yeah.", "session_id": 12175, "sequence_id": 52, "annotations": []}
{"role": "student", "content": "Yeah.", "session_id": 12175, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "uh, OK, so, so let me understand. So you, you, what you, what you put in front of me is exa is an example for a rectangle 10 inches by 6. But now you're gonna, but now you have a new, you have a new dimension and you want to rework this problem with new dimensions. Is that right?", "session_id": 12175, "sequence_id": 54, "annotations": []}
{"role": "student", "content": "Yes, this is like a reference solution that our teacher wants, and this is kind of like our, our big project that's due next week because we're gonna use a dimension that we just had and we're gonna start is gonna our Ms. Davis is gonna give us, give us the X so that like we could actually construct the box, but our teacher wants us to prioritize the graph graphing until next week. I think it's like due on Tuesday, but", "session_id": 12175, "sequence_id": 55, "annotations": [{"pii_type": "PERSON", "surrogate": "Ms. Davis", "start": 218, "end": 227}]}
{"role": "student", "content": "uh it's good that we did it early cause this was given yesterday. I'm gonna speak, let's speed run this.", "session_id": 12175, "sequence_id": 56, "annotations": []}
{"role": "student", "content": "mhm", "session_id": 12175, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 12175, "sequence_id": 58, "annotations": []}
{"role": "student", "content": "Yeah.", "session_id": 12175, "sequence_id": 59, "annotations": []}
{"role": "student", "content": "So", "session_id": 12175, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "All right. So do you want to work through this problem with new dimensions? Is that what you wanna do?", "session_id": 12175, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "Yeah, I get it", "session_id": 12175, "sequence_id": 62, "annotations": []}
{"role": "student", "content": "yes, that's basically what our teacher wanted to do, and this is kind of like me, what the heck? This is kind of like the sum this kind of like the sample solution that they sent and this is a picture of like my", "session_id": 12175, "sequence_id": 63, "annotations": []}
{"role": "student", "content": "this is kind of the picture that I had cause the sheets actually with me.", "session_id": 12175, "sequence_id": 64, "annotations": []}
{"role": "student", "content": "I have it with me", "session_id": 12175, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 12175, "sequence_id": 66, "annotations": []}
{"role": "student", "content": "as you can hear. I'm just gonna", "session_id": 12175, "sequence_id": 67, "annotations": []}
{"role": "student", "content": "gonna get", "session_id": 12175, "sequence_id": 68, "annotations": []}
{"role": "student", "content": "I'm gonna copy", "session_id": 12175, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "This", "session_id": 12175, "sequence_id": 70, "annotations": []}
{"role": "student", "content": "and uh learn from this so the polynomial function that monos the volume of the box. So, uh,", "session_id": 12175, "sequence_id": 71, "annotations": []}
{"role": "student", "content": "we just did", "session_id": 12175, "sequence_id": 72, "annotations": []}
{"role": "student", "content": "so what we do is the, oh God, why is it falling? We do the anno, right? Oh my god.", "session_id": 12175, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "OK, uh", "session_id": 12175, "sequence_id": 74, "annotations": []}
{"role": "student", "content": "v(x)=(14-2x)(13-2x)(x)", "session_id": 12175, "sequence_id": 75, "annotations": []}
{"role": "student", "content": "We do the thing that I sent, like the 14 minus 2 x, 3 minus 2 x, and x, if I'm not mistaken, but", "session_id": 12175, "sequence_id": 76, "annotations": []}
{"role": "student", "content": "Yes.", "session_id": 12175, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "Yeah, I think we, let's, let's make some draw. Let's do some drawings together, OK? And", "session_id": 12175, "sequence_id": 78, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 12175, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "let's, let's, uh, what, what's the, what's the size of your paper?", "session_id": 12175, "sequence_id": 80, "annotations": []}
{"role": "student", "content": "Uh, the, the size of paper that we have is a short sized one, I think it's a letter, letter sized bond, but sir, our miss actually, uh, doesn't mind what she's the paper that we submit and as long as it's just a square of a box with the correct labels because the actual like box that we're making is next week", "session_id": 12175, "sequence_id": 81, "annotations": []}
{"role": "student", "content": "Yeah, so let's start.", "session_id": 12175, "sequence_id": 82, "annotations": []}
{"role": "student", "content": "We have the box. I'm drawing the box.", "session_id": 12175, "sequence_id": 83, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 12175, "sequence_id": 84, "annotations": []}
{"role": "volunteer", "content": "Where's the, uh, where's the where you draw all you're down there drawing it. OK.", "session_id": 12175, "sequence_id": 85, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 12175, "sequence_id": 86, "annotations": []}
{"role": "student", "content": "Yeah, and, and then um. So", "session_id": 12175, "sequence_id": 87, "annotations": []}
{"role": "student", "content": "as like", "session_id": 12175, "sequence_id": 88, "annotations": []}
{"role": "student", "content": "earlier", "session_id": 12175, "sequence_id": 89, "annotations": []}
{"role": "student", "content": "we have the", "session_id": 12175, "sequence_id": 90, "annotations": []}
{"role": "student", "content": "I'm very, very", "session_id": 12175, "sequence_id": 91, "annotations": []}
{"role": "volunteer", "content": "Yeah, you got to cut out", "session_id": 12175, "sequence_id": 92, "annotations": []}
{"role": "student", "content": "Yeah, and this is kind of", "session_id": 12175, "sequence_id": 93, "annotations": []}
{"role": "volunteer", "content": "Those are, are those supposed to be squares you're cutting out.", "session_id": 12175, "sequence_id": 94, "annotations": []}
{"role": "student", "content": "Yeah, yeah. I'm gonna make it more accurate when uh", "session_id": 12175, "sequence_id": 95, "annotations": []}
{"role": "volunteer", "content": "Yeah, that's, I, I get it, X and X, yeah, yeah, yeah, OK.", "session_id": 12175, "sequence_id": 96, "annotations": []}
{"role": "volunteer", "content": "Yeah.", "session_id": 12175, "sequence_id": 97, "annotations": []}
{"role": "student", "content": "X and X and wait, let me see, the thing that I sent for", "session_id": 12175, "sequence_id": 98, "annotations": []}
{"role": "student", "content": "was.", "session_id": 12175, "sequence_id": 99, "annotations": []}
{"role": "volunteer", "content": "14", "session_id": 12175, "sequence_id": 100, "annotations": []}
{"role": "student", "content": "14 minus 2X.", "session_id": 12175, "sequence_id": 101, "annotations": []}
{"role": "volunteer", "content": "2 X, yeah, yeah.", "session_id": 12175, "sequence_id": 102, "annotations": []}
{"role": "student", "content": "1113", "session_id": 12175, "sequence_id": 103, "annotations": []}
{"role": "student", "content": "minus 2X.", "session_id": 12175, "sequence_id": 104, "annotations": []}
{"role": "student", "content": "OK", "session_id": 12175, "sequence_id": 105, "annotations": []}
{"role": "volunteer", "content": "OK, so your paper, your paper is 14 by 13.", "session_id": 12175, "sequence_id": 106, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 12175, "sequence_id": 107, "annotations": []}
{"role": "volunteer", "content": "and you're gonna make a box", "session_id": 12175, "sequence_id": 108, "annotations": []}
{"role": "volunteer", "content": "that's uh", "session_id": 12175, "sequence_id": 109, "annotations": []}
{"role": "volunteer", "content": "sure.", "session_id": 12175, "sequence_id": 110, "annotations": []}
{"role": "student", "content": "Yes, we're, we're gonna make a box out of this. So what we can do is that we do this with polyfunction, so 40 minus, I'm gonna solve this in my iPad and I'm gonna, I'm gonna tell you my answer and if, and let's compare.", "session_id": 12175, "sequence_id": 111, "annotations": []}
{"role": "volunteer", "content": "So are you trying to calculate volume here.", "session_id": 12175, "sequence_id": 112, "annotations": []}
{"role": "student", "content": "Yes, actually, yes, yes, we're gonna.", "session_id": 12175, "sequence_id": 113, "annotations": []}
{"role": "volunteer", "content": "volume of the box. OK, so what's the, what's the formula, what's the formula for volume?", "session_id": 12175, "sequence_id": 114, "annotations": []}
{"role": "student", "content": "oh, without looking, LWH", "session_id": 12175, "sequence_id": 115, "annotations": []}
{"role": "volunteer", "content": "Yeah, I mean, it's the length times width times height, right?", "session_id": 12175, "sequence_id": 116, "annotations": []}
{"role": "volunteer", "content": "Yeah.", "session_id": 12175, "sequence_id": 117, "annotations": []}
{"role": "student", "content": "With them height. Yeah, OK.", "session_id": 12175, "sequence_id": 118, "annotations": []}
{"role": "volunteer", "content": "So break down the", "session_id": 12175, "sequence_id": 119, "annotations": []}
{"role": "student", "content": "Uh, this is just basically uh multiplying polynomials. It's OK. I will speak and.", "session_id": 12175, "sequence_id": 120, "annotations": []}
{"role": "volunteer", "content": "yeah, so what's your, uh, so write, write down your formula for if I did this V", "session_id": 12175, "sequence_id": 121, "annotations": []}
{"role": "volunteer", "content": "of X", "session_id": 12175, "sequence_id": 122, "annotations": []}
{"role": "volunteer", "content": "So your formula", "session_id": 12175, "sequence_id": 123, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 12175, "sequence_id": 124, "annotations": []}
{"role": "volunteer", "content": "for the volume based on X.", "session_id": 12175, "sequence_id": 125, "annotations": []}
{"role": "volunteer", "content": "is equal to what?", "session_id": 12175, "sequence_id": 126, "annotations": []}
{"role": "volunteer", "content": "2 x", "session_id": 12175, "sequence_id": 127, "annotations": []}
{"role": "student", "content": "14 times 1314.", "session_id": 12175, "sequence_id": 128, "annotations": []}
{"role": "student", "content": "15 times.", "session_id": 12175, "sequence_id": 129, "annotations": []}
{"role": "student", "content": "OK", "session_id": 12175, "sequence_id": 130, "annotations": []}
{"role": "student", "content": "Mhm", "session_id": 12175, "sequence_id": 131, "annotations": []}
{"role": "volunteer", "content": "right? What's the next factor?", "session_id": 12175, "sequence_id": 132, "annotations": []}
{"role": "volunteer", "content": "right", "session_id": 12175, "sequence_id": 133, "annotations": []}
{"role": "student", "content": "Uh, 13 minus 2x trying to also do it myself. I have a calculator with me right now. 40 times 3, it's easier when I do it in", "session_id": 12175, "sequence_id": 134, "annotations": []}
{"role": "volunteer", "content": "OK, what's the next, what's the other factor?", "session_id": 12175, "sequence_id": 135, "annotations": []}
{"role": "student", "content": "An X", "session_id": 12175, "sequence_id": 136, "annotations": []}
{"role": "volunteer", "content": "That's right. OK.", "session_id": 12175, "sequence_id": 137, "annotations": []}
{"role": "volunteer", "content": "Let", "session_id": 12175, "sequence_id": 138, "annotations": []}
{"role": "student", "content": "OK, let's go on. 40 times 13 X and 14 times 2 is 28, and since the act.", "session_id": 12175, "sequence_id": 139, "annotations": []}
{"role": "volunteer", "content": "Well, let, let me ask you this. Why, why do we need to, um, what are we trying to do with this volume? I, I, are we trying to optimize something or what do you wanna do?", "session_id": 12175, "sequence_id": 140, "annotations": []}
{"role": "student", "content": "yeah, or tried to optimize this so we can find the 0 so that we can transform into a graph.", "session_id": 12175, "sequence_id": 141, "annotations": []}
{"role": "student", "content": "as seen in the 2nd.", "session_id": 12175, "sequence_id": 142, "annotations": []}
{"role": "volunteer", "content": "OK, well, we, we've already, OK, this box right here.", "session_id": 12175, "sequence_id": 143, "annotations": []}
{"role": "volunteer", "content": "don't, don't we know the zeros of it already?", "session_id": 12175, "sequence_id": 144, "annotations": []}
{"role": "student", "content": "Oh, but that's a required thing that they want.", "session_id": 12175, "sequence_id": 145, "annotations": []}
{"role": "student", "content": "on form.", "session_id": 12175, "sequence_id": 146, "annotations": []}
{"role": "volunteer", "content": "See what's the um there there's 30s here, right? How, how does, how can VFX equal to 0. Well, this could be 0.", "session_id": 12175, "sequence_id": 147, "annotations": []}
{"role": "volunteer", "content": "What does, what do you need X to be for that to be equal to 0, the first box.", "session_id": 12175, "sequence_id": 148, "annotations": []}
{"role": "student", "content": "What? Can you rephrase the statement, please, 21.", "session_id": 12175, "sequence_id": 149, "annotations": []}
{"role": "student", "content": "Mm.", "session_id": 12175, "sequence_id": 150, "annotations": []}
{"role": "volunteer", "content": "OK. All right, let me, let me undo this, this, um,", "session_id": 12175, "sequence_id": 151, "annotations": []}
{"role": "volunteer", "content": "I'm trying to find the zeros of this", "session_id": 12175, "sequence_id": 152, "annotations": []}
{"role": "volunteer", "content": "polynomial, right", "session_id": 12175, "sequence_id": 153, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 12175, "sequence_id": 154, "annotations": []}
{"role": "volunteer", "content": "OK, so in order for this to be zero", "session_id": 12175, "sequence_id": 155, "annotations": []}
{"role": "volunteer", "content": "uh, a couple things", "session_id": 12175, "sequence_id": 156, "annotations": []}
{"role": "volunteer", "content": "OK, let me, let me switch colors.", "session_id": 12175, "sequence_id": 157, "annotations": []}
{"role": "student", "content": "Mm", "session_id": 12175, "sequence_id": 158, "annotations": []}
{"role": "volunteer", "content": "This factor could be 0.", "session_id": 12175, "sequence_id": 159, "annotations": []}
{"role": "volunteer", "content": "right? Or", "session_id": 12175, "sequence_id": 160, "annotations": []}
{"role": "volunteer", "content": "this factor could be 0, right? Or this factor, you see how there's 3 parts, 123.", "session_id": 12175, "sequence_id": 161, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 12175, "sequence_id": 162, "annotations": []}
{"role": "volunteer", "content": "What, what is the 0? What makes this factor zero.", "session_id": 12175, "sequence_id": 163, "annotations": []}
{"role": "volunteer", "content": "How does 14 minus 2x, how can that be equal to zero? What is X?", "session_id": 12175, "sequence_id": 164, "annotations": []}
{"role": "student", "content": "Um", "session_id": 12175, "sequence_id": 165, "annotations": []}
{"role": "student", "content": "For it to be 0.", "session_id": 12175, "sequence_id": 166, "annotations": []}
{"role": "student", "content": "for", "session_id": 12175, "sequence_id": 167, "annotations": []}
{"role": "student", "content": "um", "session_id": 12175, "sequence_id": 168, "annotations": []}
{"role": "student", "content": "if you make to 0, it would still be 14.", "session_id": 12175, "sequence_id": 169, "annotations": []}
{"role": "student", "content": "It would be, if you subsequent", "session_id": 12175, "sequence_id": 170, "annotations": []}
{"role": "student", "content": "OK", "session_id": 12175, "sequence_id": 171, "annotations": []}
{"role": "volunteer", "content": "No, no, no, no. I say, how, how do I make, how do I make 14 minus 2 x equal to zero. I want the whole thing. I want this, so I want this.", "session_id": 12175, "sequence_id": 172, "annotations": []}
{"role": "volunteer", "content": "14", "session_id": 12175, "sequence_id": 173, "annotations": []}
{"role": "volunteer", "content": "minus", "session_id": 12175, "sequence_id": 174, "annotations": []}
{"role": "volunteer", "content": "2 X.", "session_id": 12175, "sequence_id": 175, "annotations": []}
{"role": "volunteer", "content": "to be equal to", "session_id": 12175, "sequence_id": 176, "annotations": []}
{"role": "volunteer", "content": "0", "session_id": 12175, "sequence_id": 177, "annotations": []}
{"role": "student", "content": "Oh, that's gone. We transpose you to additive inverse, additive inverse method. Then we did then we divide it.", "session_id": 12175, "sequence_id": 178, "annotations": []}
{"role": "student", "content": "so positive to x over 14, and then we just divide it so x equals 7.", "session_id": 12175, "sequence_id": 179, "annotations": []}
{"role": "volunteer", "content": "Yeah, OK, so X equals 7 is a 0.", "session_id": 12175, "sequence_id": 180, "annotations": []}
{"role": "student", "content": "Oh.", "session_id": 12175, "sequence_id": 181, "annotations": []}
{"role": "volunteer", "content": "OK, so you just said X equal to 7, that's 10.", "session_id": 12175, "sequence_id": 182, "annotations": []}
{"role": "volunteer", "content": "right?", "session_id": 12175, "sequence_id": 183, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 12175, "sequence_id": 184, "annotations": []}
{"role": "student", "content": "Oh", "session_id": 12175, "sequence_id": 185, "annotations": []}
{"role": "volunteer", "content": "You see that if that's equal to 0, then that'll be, it forces the whole thing to be zero. OK, what's the second? What, what's, uh, how do I make this, this factor equal to zero. Same thing. 13 minus 2 X.", "session_id": 12175, "sequence_id": 186, "annotations": []}
{"role": "student", "content": "So 2 X divided by 13 and oh, we just flip it. It's 13/2.", "session_id": 12175, "sequence_id": 187, "annotations": []}
{"role": "student", "content": "We don't even need to solve. Oh, OK, um.", "session_id": 12175, "sequence_id": 188, "annotations": []}
{"role": "student", "content": "I", "session_id": 12175, "sequence_id": 189, "annotations": []}
{"role": "volunteer", "content": "Yeah, so that's X equal to 6.5, right?", "session_id": 12175, "sequence_id": 190, "annotations": []}
{"role": "student", "content": "Yeah, 6.5.", "session_id": 12175, "sequence_id": 191, "annotations": []}
{"role": "student", "content": "OK", "session_id": 12175, "sequence_id": 192, "annotations": []}
{"role": "volunteer", "content": "Or you could say, yeah, 6.5 or 13.", "session_id": 12175, "sequence_id": 193, "annotations": []}
{"role": "student", "content": "Did you actually doesn't mind if we answer it infraction, but she said the play it safe, you can just add the decimal or in the fraction to to play it safe.", "session_id": 12175, "sequence_id": 194, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 12175, "sequence_id": 195, "annotations": []}
{"role": "volunteer", "content": "Yeah, so you, you could say at 13/2 or 6.5. OK, what's, how about this? What's this? How does X equal to zero? What's that?", "session_id": 12175, "sequence_id": 196, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 12175, "sequence_id": 197, "annotations": []}
{"role": "student", "content": "X equals 0 cause you can't transport, you can't have to additive inverse.", "session_id": 12175, "sequence_id": 198, "annotations": []}
{"role": "volunteer", "content": "OK, so", "session_id": 12175, "sequence_id": 199, "annotations": []}
{"role": "student", "content": "props to organic chem through their doer for teaching goodness. I, I actually", "session_id": 12175, "sequence_id": 200, "annotations": []}
{"role": "student", "content": "more", "session_id": 12175, "sequence_id": 201, "annotations": []}
{"role": "volunteer", "content": "so this is, you know what a 3rd degree polynomial is.", "session_id": 12175, "sequence_id": 202, "annotations": []}
{"role": "student", "content": "Yeah, a 3rd degree polynomial and it has a degree of 3 when its power is 3 fe'm not mistaken.", "session_id": 12175, "sequence_id": 203, "annotations": []}
{"role": "volunteer", "content": "Right. So this, so it has 30s. So we found the 30s, right?", "session_id": 12175, "sequence_id": 204, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 12175, "sequence_id": 205, "annotations": []}
{"role": "student", "content": "continue", "session_id": 12175, "sequence_id": 206, "annotations": []}
{"role": "volunteer", "content": "OK.", "session_id": 12175, "sequence_id": 207, "annotations": []}
{"role": "volunteer", "content": "So now what do you want? I'm, I don't quite under what, what do you wanna do with this? You wanna graph it?", "session_id": 12175, "sequence_id": 208, "annotations": []}
{"role": "student", "content": "Uh, essentially", "session_id": 12175, "sequence_id": 209, "annotations": []}
{"role": "student", "content": "yes, but then we have the table of values, but then we have to find uh the turning points of the graph.", "session_id": 12175, "sequence_id": 210, "annotations": []}
{"role": "student", "content": "We essentially have to find the turning points of the graph. Like turning points of the graphic letter G, we essentially do from what I've understand like the quadratic form, the quadratic formula, and then after that, we use those answers and we substitute it to the formula that you originally get from the polynomial function that you being solved from the 14 minus 2 X and the 13 x min is 2 x thing. So we actually have to get the formula so we can substit", "session_id": 12175, "sequence_id": 211, "annotations": []}
{"role": "student", "content": "ute it.", "session_id": 12175, "sequence_id": 212, "annotations": []}
{"role": "student", "content": "We have to actually get.", "session_id": 12175, "sequence_id": 213, "annotations": []}
{"role": "volunteer", "content": "See, I don't know why you need the quadratic formula because we've already got the quadratic formula finds the zeros.", "session_id": 12175, "sequence_id": 214, "annotations": []}
{"role": "volunteer", "content": "We've already found the zeros, right? Boom.", "session_id": 12175, "sequence_id": 215, "annotations": []}
{"role": "student", "content": "Oh, but the thing is, what's here is to find the turning points of the graph.", "session_id": 12175, "sequence_id": 216, "annotations": []}
{"role": "student", "content": "We already have the extra, we need to find the turning points and", "session_id": 12175, "sequence_id": 217, "annotations": []}
{"role": "student", "content": "we need to use", "session_id": 12175, "sequence_id": 218, "annotations": []}
{"role": "student", "content": "oh yeah", "session_id": 12175, "sequence_id": 219, "annotations": []}
{"role": "volunteer", "content": "Oh, so you're gonna take a derivative. Oh, you want to take a derivative. All right. So you want to find maximum points.", "session_id": 12175, "sequence_id": 220, "annotations": []}
{"role": "volunteer", "content": "Are you doing little calc you know how to take a derivative? Is this calculus?", "session_id": 12175, "sequence_id": 221, "annotations": []}
{"role": "student", "content": "Yes, this is a, this is AB cup where this is like our AP family.", "session_id": 12175, "sequence_id": 222, "annotations": []}
{"role": "volunteer", "content": "Oh you, oh, you're an AP count. OK. OK, I used to teach that. All right, so you want to find the, uh, what I would call um the minimum and maximums.", "session_id": 12175, "sequence_id": 223, "annotations": []}
{"role": "student", "content": "Oh yeah, I do know what the meaning of a maximum is.", "session_id": 12175, "sequence_id": 224, "annotations": []}
{"role": "volunteer", "content": "OK, so you're doing, this is AP calculus. All right, so you're trying to figure out what the maximum volume in the box could be.", "session_id": 12175, "sequence_id": 225, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 12175, "sequence_id": 226, "annotations": []}
{"role": "volunteer", "content": "OK. All right. So, all right. Well, that's a whole different story than now, so you don't really need the", "session_id": 12175, "sequence_id": 227, "annotations": []}
{"role": "volunteer", "content": "you know, this, I mean, you could put 0. 1st of all, let's, let's, uh, can you multiply out via X and then we'll take a derivative. Or do you know what the product rule is?", "session_id": 12175, "sequence_id": 228, "annotations": []}
{"role": "student", "content": "Yeah, but like our sir asked us to find the turning points of the graph and finding like the X for the X coordinates for each of these points by using the formula and I think it's the best way that we follow, we follow the formula along, we follow this.", "session_id": 12175, "sequence_id": 229, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 12175, "sequence_id": 230, "annotations": []}
{"role": "volunteer", "content": "All right. Let's see, let me look at what she saw.", "session_id": 12175, "sequence_id": 231, "annotations": []}
{"role": "volunteer", "content": "volume", "session_id": 12175, "sequence_id": 232, "annotations": []}
{"role": "volunteer", "content": "the zeros or X intercepts. All right, so we found the zeros. All right. Now let's multiply out via vaccine.", "session_id": 12175, "sequence_id": 233, "annotations": []}
{"role": "student", "content": "OK", "session_id": 12175, "sequence_id": 234, "annotations": []}
{"role": "volunteer", "content": "Let's, let, let's multiply that. Once you multiply that out.", "session_id": 12175, "sequence_id": 235, "annotations": []}
{"role": "student", "content": "Uh, I have it in my notebook. 14 x 13 X to 14 minus 2 x is 28 X, and 2 x 2 x times 3 digit.", "session_id": 12175, "sequence_id": 236, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 12175, "sequence_id": 237, "annotations": []}
{"role": "volunteer", "content": "Well, well, let's just, can you, uh, can you write it down? Yeah, I, you know what, I have a special", "session_id": 12175, "sequence_id": 238, "annotations": []}
{"role": "volunteer", "content": "I just, let me try my stylist here, and I'll write it down so we can see it. I think I", "session_id": 12175, "sequence_id": 239, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 12175, "sequence_id": 240, "annotations": []}
{"role": "volunteer", "content": "I had trouble writing with my um", "session_id": 12175, "sequence_id": 241, "annotations": []}
{"role": "student", "content": "Um,", "session_id": 12175, "sequence_id": 242, "annotations": []}
{"role": "student", "content": "OK", "session_id": 12175, "sequence_id": 243, "annotations": []}
{"role": "volunteer", "content": "I have trouble riding with, OK, let's see it here.", "session_id": 12175, "sequence_id": 244, "annotations": []}
{"role": "student", "content": "40 times. What's the special, oh my God, I hate this house. 14 x 13 X. 0 my God.", "session_id": 12175, "sequence_id": 245, "annotations": []}
{"role": "volunteer", "content": "Yeah, here, let, let me, um, if you, if you gave me this, uh, well, I'll tell you what, you put it down. I'll, I'll calculate it too.", "session_id": 12175, "sequence_id": 246, "annotations": []}
{"role": "student", "content": "I", "session_id": 12175, "sequence_id": 247, "annotations": []}
{"role": "student", "content": "s", "session_id": 12175, "sequence_id": 248, "annotations": []}
{"role": "volunteer", "content": "OK.", "session_id": 12175, "sequence_id": 249, "annotations": []}
{"role": "student", "content": "182", "session_id": 12175, "sequence_id": 250, "annotations": []}
{"role": "student", "content": "um", "session_id": 12175, "sequence_id": 251, "annotations": []}
{"role": "student", "content": "this", "session_id": 12175, "sequence_id": 252, "annotations": []}
{"role": "volunteer", "content": "14 times 13.", "session_id": 12175, "sequence_id": 253, "annotations": []}
{"role": "student", "content": "So negative 50", "session_id": 12175, "sequence_id": 254, "annotations": []}
{"role": "student", "content": "5 X. On ale", "session_id": 12175, "sequence_id": 255, "annotations": []}
{"role": "student", "content": "It's not 3.", "session_id": 12175, "sequence_id": 256, "annotations": []}
{"role": "student", "content": "Oh", "session_id": 12175, "sequence_id": 257, "annotations": []}
{"role": "student", "content": "and then you had an X.", "session_id": 12175, "sequence_id": 258, "annotations": []}
{"role": "student", "content": "Oh.", "session_id": 12175, "sequence_id": 259, "annotations": []}
{"role": "student", "content": "and", "session_id": 12175, "sequence_id": 260, "annotations": []}
{"role": "volunteer", "content": "Hmm.", "session_id": 12175, "sequence_id": 261, "annotations": []}
{"role": "student", "content": "Wow", "session_id": 12175, "sequence_id": 262, "annotations": []}
{"role": "volunteer", "content": "What's 14", "session_id": 12175, "sequence_id": 263, "annotations": []}
{"role": "student", "content": "it's", "session_id": 12175, "sequence_id": 264, "annotations": []}
{"role": "student", "content": "Mhm.", "session_id": 12175, "sequence_id": 265, "annotations": []}
{"role": "volunteer", "content": "What'd you say 14 times 13 X.", "session_id": 12175, "sequence_id": 266, "annotations": []}
{"role": "student", "content": "Oh, it equals", "session_id": 12175, "sequence_id": 267, "annotations": []}
{"role": "student", "content": "It's.", "session_id": 12175, "sequence_id": 268, "annotations": []}
{"role": "volunteer", "content": "Oh yeah, 182", "session_id": 12175, "sequence_id": 269, "annotations": []}
{"role": "volunteer", "content": "minus 27 X plus.", "session_id": 12175, "sequence_id": 270, "annotations": []}
{"role": "volunteer", "content": "4 X", "session_id": 12175, "sequence_id": 271, "annotations": []}
{"role": "volunteer", "content": "So it's gonna be", "session_id": 12175, "sequence_id": 272, "annotations": []}
{"role": "student", "content": "Mhm", "session_id": 12175, "sequence_id": 273, "annotations": []}
{"role": "student", "content": "108.", "session_id": 12175, "sequence_id": 274, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 12175, "sequence_id": 275, "annotations": []}
{"role": "volunteer", "content": "OK, so what was your", "session_id": 12175, "sequence_id": 276, "annotations": []}
{"role": "student", "content": "Hm, I'm not it", "session_id": 12175, "sequence_id": 277, "annotations": []}
{"role": "volunteer", "content": "what was your answer? Uh, it should be.", "session_id": 12175, "sequence_id": 278, "annotations": []}
{"role": "student", "content": "it", "session_id": 12175, "sequence_id": 279, "annotations": []}
{"role": "volunteer", "content": "let me do this cause it's a hard trouble reading. Um,", "session_id": 12175, "sequence_id": 280, "annotations": []}
{"role": "student", "content": "but", "session_id": 12175, "sequence_id": 281, "annotations": []}
{"role": "volunteer", "content": "is that, uh, are you getting like", "session_id": 12175, "sequence_id": 282, "annotations": []}
{"role": "volunteer", "content": "4 X", "session_id": 12175, "sequence_id": 283, "annotations": []}
{"role": "volunteer", "content": "uh, cute.", "session_id": 12175, "sequence_id": 284, "annotations": []}
{"role": "volunteer", "content": "minus 27 X.", "session_id": 12175, "sequence_id": 285, "annotations": []}
{"role": "student", "content": "you like, and so my hands so I can. I'm not yet done. I, I only have the base like for the for the what they call again for the", "session_id": 12175, "sequence_id": 286, "annotations": []}
{"role": "student", "content": "uh", "session_id": 12175, "sequence_id": 287, "annotations": []}
{"role": "student", "content": "I only have the one for the foilat and I did not multiply it with axia, 4x2positsia, I mean, why am I speaking my native language and I stress. OK. Uh, 4 X cubes minus 54 X^2 minus NO + 182 X I correct?", "session_id": 12175, "sequence_id": 288, "annotations": []}
{"role": "student", "content": "I will write this. 4 X raise a power of 3 minus 54 X^2 54 x squad.", "session_id": 12175, "sequence_id": 289, "annotations": []}
{"role": "student", "content": "U", "session_id": 12175, "sequence_id": 290, "annotations": []}
{"role": "volunteer", "content": "OK. I don't", "session_id": 12175, "sequence_id": 291, "annotations": []}
{"role": "student", "content": "you to um.", "session_id": 12175, "sequence_id": 292, "annotations": []}
{"role": "volunteer", "content": "I don't have 54X. Let me, um,", "session_id": 12175, "sequence_id": 293, "annotations": []}
{"role": "student", "content": "whoa", "session_id": 12175, "sequence_id": 294, "annotations": []}
{"role": "student", "content": "let me redo this then", "session_id": 12175, "sequence_id": 295, "annotations": []}
{"role": "volunteer", "content": "I, I have 27, I have 27X. I don't know.", "session_id": 12175, "sequence_id": 296, "annotations": []}
{"role": "student", "content": "like 26. I have 54 cause like when you multiply 14 times to x.", "session_id": 12175, "sequence_id": 297, "annotations": []}
{"role": "student", "content": "It's negative 28.", "session_id": 12175, "sequence_id": 298, "annotations": []}
{"role": "volunteer", "content": "Oh, you're right, you're right, you're right, you're right. You're absolutely right. 54, you're right.", "session_id": 12175, "sequence_id": 299, "annotations": []}
{"role": "volunteer", "content": "You you are correct", "session_id": 12175, "sequence_id": 300, "annotations": []}
{"role": "student", "content": "Oh yeah, OK.", "session_id": 12175, "sequence_id": 301, "annotations": []}
{"role": "volunteer", "content": "OK, well, let's um", "session_id": 12175, "sequence_id": 302, "annotations": []}
{"role": "student", "content": "They are coolly. OK. The next part is since we already have the formula and then we just extract the zeros.", "session_id": 12175, "sequence_id": 303, "annotations": []}
{"role": "volunteer", "content": "let's make sure we, let's write down the formula for volume. Let, let me see if I can do this.", "session_id": 12175, "sequence_id": 304, "annotations": []}
{"role": "student", "content": "4x^3 -54x^2+182x", "session_id": 12175, "sequence_id": 305, "annotations": []}
{"role": "volunteer", "content": "I got this uh pad here. Let's see how this works.", "session_id": 12175, "sequence_id": 306, "annotations": []}
{"role": "volunteer", "content": "Um", "session_id": 12175, "sequence_id": 307, "annotations": []}
{"role": "student", "content": "OK, let's go.", "session_id": 12175, "sequence_id": 308, "annotations": []}
{"role": "student", "content": "OK", "session_id": 12175, "sequence_id": 309, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 12175, "sequence_id": 310, "annotations": []}
{"role": "volunteer", "content": "I go up here, I'd say V(X), oops.", "session_id": 12175, "sequence_id": 311, "annotations": []}
{"role": "volunteer", "content": "Nope, that's not working here.", "session_id": 12175, "sequence_id": 312, "annotations": []}
{"role": "volunteer", "content": "Is that you oh", "session_id": 12175, "sequence_id": 313, "annotations": []}
{"role": "student", "content": "Oh my God", "session_id": 12175, "sequence_id": 314, "annotations": []}
{"role": "volunteer", "content": "Mm", "session_id": 12175, "sequence_id": 315, "annotations": []}
{"role": "student", "content": "And", "session_id": 12175, "sequence_id": 316, "annotations": []}
{"role": "student", "content": "then", "session_id": 12175, "sequence_id": 317, "annotations": []}
{"role": "volunteer", "content": "Mm, my thing's not working. Let's see.", "session_id": 12175, "sequence_id": 318, "annotations": []}
{"role": "student", "content": "uh, it's OK. I will do it.", "session_id": 12175, "sequence_id": 319, "annotations": []}
{"role": "volunteer", "content": "Oh", "session_id": 12175, "sequence_id": 320, "annotations": []}
{"role": "volunteer", "content": "oops.", "session_id": 12175, "sequence_id": 321, "annotations": []}
{"role": "student", "content": "I will do it, where is the formula, or X-rays to the plow up the minus", "session_id": 12175, "sequence_id": 322, "annotations": []}
{"role": "student", "content": "X. 820.", "session_id": 12175, "sequence_id": 323, "annotations": []}
{"role": "student", "content": "So then maybe help", "session_id": 12175, "sequence_id": 324, "annotations": []}
{"role": "volunteer", "content": "Yeah. Yeah, that's right. That's correct.", "session_id": 12175, "sequence_id": 325, "annotations": []}
{"role": "student", "content": "based from this like, since we already have the formulas at the zeros, what we can do with the, this uh formula is that we can make it into the quadratic formula.", "session_id": 12175, "sequence_id": 326, "annotations": []}
{"role": "student", "content": "We can, we can quadratic, we can make the formula to sign.", "session_id": 12175, "sequence_id": 327, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 12175, "sequence_id": 328, "annotations": []}
{"role": "volunteer", "content": "Well, first thing you need to do is take a derivative of it, right? You're trying to, if you, we know the zeros of the graph, we know it", "session_id": 12175, "sequence_id": 329, "annotations": []}
{"role": "volunteer", "content": "Now we, if you want to find", "session_id": 12175, "sequence_id": 330, "annotations": []}
{"role": "volunteer", "content": "you know, the maxes and men's are gonna happen right between them.", "session_id": 12175, "sequence_id": 331, "annotations": []}
{"role": "volunteer", "content": "But", "session_id": 12175, "sequence_id": 332, "annotations": []}
{"role": "volunteer", "content": "how do you take", "session_id": 12175, "sequence_id": 333, "annotations": []}
{"role": "volunteer", "content": "I think your paper up here said", "session_id": 12175, "sequence_id": 334, "annotations": []}
{"role": "volunteer", "content": "yeah", "session_id": 12175, "sequence_id": 335, "annotations": []}
{"role": "student", "content": "first therariation, the the variation. Oh my gosh.", "session_id": 12175, "sequence_id": 336, "annotations": []}
{"role": "volunteer", "content": "Yeah, so you take a derivative.", "session_id": 12175, "sequence_id": 337, "annotations": []}
{"role": "student", "content": "The thing was, I remembered our our teacher submitting like uh, like from a shared like classroom from another like uh from another class that had APA. They had this, they had this thing like the shared like like uh like what do you mean 3rd grading recorded, uh, for this", "session_id": 12175, "sequence_id": 338, "annotations": []}
{"role": "student", "content": "but then I can't find, I can't find the file that had", "session_id": 12175, "sequence_id": 339, "annotations": []}
{"role": "student", "content": "had had this, wait, uh, let me find the dress.", "session_id": 12175, "sequence_id": 340, "annotations": []}
{"role": "volunteer", "content": "Does this notation, let me ask you this, do you know what this notation means for derivative.", "session_id": 12175, "sequence_id": 341, "annotations": []}
{"role": "student", "content": "find the", "session_id": 12175, "sequence_id": 342, "annotations": []}
{"role": "volunteer", "content": "So if I go, I want you to take the derivative, right?", "session_id": 12175, "sequence_id": 343, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 12175, "sequence_id": 344, "annotations": []}
{"role": "volunteer", "content": "Do you know how to take the derivative of this function.", "session_id": 12175, "sequence_id": 345, "annotations": []}
{"role": "student", "content": "uh, I, I, I know it cause I seen my teacher done it, but I'm not that confident doing it in school.", "session_id": 12175, "sequence_id": 346, "annotations": []}
{"role": "volunteer", "content": "OK, I'll, I'll show you. It's called the Power rule, right?", "session_id": 12175, "sequence_id": 347, "annotations": []}
{"role": "student", "content": "one the probably", "session_id": 12175, "sequence_id": 348, "annotations": []}
{"role": "volunteer", "content": "So I basically", "session_id": 12175, "sequence_id": 349, "annotations": []}
{"role": "volunteer", "content": "I take the, I take whatever so I take", "session_id": 12175, "sequence_id": 350, "annotations": []}
{"role": "volunteer", "content": "the power roll says I take whatever power is. I multiply it out front and I reduce this. So this becomes", "session_id": 12175, "sequence_id": 351, "annotations": []}
{"role": "volunteer", "content": "3", "session_id": 12175, "sequence_id": 352, "annotations": []}
{"role": "volunteer", "content": "times 4", "session_id": 12175, "sequence_id": 353, "annotations": []}
{"role": "volunteer", "content": "X", "session_id": 12175, "sequence_id": 354, "annotations": []}
{"role": "volunteer", "content": "2", "session_id": 12175, "sequence_id": 355, "annotations": []}
{"role": "student", "content": "OK", "session_id": 12175, "sequence_id": 356, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 12175, "sequence_id": 357, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 12175, "sequence_id": 358, "annotations": []}
{"role": "volunteer", "content": "So, you know, the power role.", "session_id": 12175, "sequence_id": 359, "annotations": []}
{"role": "volunteer", "content": "Power roll is the following. If F of X", "session_id": 12175, "sequence_id": 360, "annotations": []}
{"role": "volunteer", "content": "this is really the only, there's a lot of diff F ofvax.", "session_id": 12175, "sequence_id": 361, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 12175, "sequence_id": 362, "annotations": []}
{"role": "volunteer", "content": "You do you know what F of X is? Like a functional notation. Are you comfortable? OK.", "session_id": 12175, "sequence_id": 363, "annotations": []}
{"role": "student", "content": "Yeah.", "session_id": 12175, "sequence_id": 364, "annotations": []}
{"role": "volunteer", "content": "If uh if E of X equals X.", "session_id": 12175, "sequence_id": 365, "annotations": []}
{"role": "volunteer", "content": "to the N", "session_id": 12175, "sequence_id": 366, "annotations": []}
{"role": "volunteer", "content": "right", "session_id": 12175, "sequence_id": 367, "annotations": []}
{"role": "volunteer", "content": "F", "session_id": 12175, "sequence_id": 368, "annotations": []}
{"role": "volunteer", "content": "X", "session_id": 12175, "sequence_id": 369, "annotations": []}
{"role": "volunteer", "content": "E", "session_id": 12175, "sequence_id": 370, "annotations": []}
{"role": "student", "content": "Oh, wait. Oh, this is like what I", "session_id": 12175, "sequence_id": 371, "annotations": []}
{"role": "student", "content": "um", "session_id": 12175, "sequence_id": 372, "annotations": []}
{"role": "volunteer", "content": "F of X equals N", "session_id": 12175, "sequence_id": 373, "annotations": []}
{"role": "volunteer", "content": "right? The N comes down", "session_id": 12175, "sequence_id": 374, "annotations": []}
{"role": "volunteer", "content": "times X", "session_id": 12175, "sequence_id": 375, "annotations": []}
{"role": "student", "content": "you know", "session_id": 12175, "sequence_id": 376, "annotations": []}
{"role": "volunteer", "content": "times N", "session_id": 12175, "sequence_id": 377, "annotations": []}
{"role": "volunteer", "content": "minus 1.", "session_id": 12175, "sequence_id": 378, "annotations": []}
{"role": "volunteer", "content": "So that's what I did over here, right? I took the 3", "session_id": 12175, "sequence_id": 379, "annotations": []}
{"role": "student", "content": "Oh", "session_id": 12175, "sequence_id": 380, "annotations": []}
{"role": "volunteer", "content": "put it out front, but I have to multiply it by the 4, then I took X^2, right? So that's gonna be.", "session_id": 12175, "sequence_id": 381, "annotations": []}
{"role": "student", "content": "Oh", "session_id": 12175, "sequence_id": 382, "annotations": []}
{"role": "volunteer", "content": "so this is gonna be equal to 12.", "session_id": 12175, "sequence_id": 383, "annotations": []}
{"role": "volunteer", "content": "x", "session_id": 12175, "sequence_id": 384, "annotations": []}
{"role": "student", "content": "Oh, well X^2.", "session_id": 12175, "sequence_id": 385, "annotations": []}
{"role": "student", "content": "Oh.", "session_id": 12175, "sequence_id": 386, "annotations": []}
{"role": "volunteer", "content": "2. OK. So what's the next um what's the next factor?", "session_id": 12175, "sequence_id": 387, "annotations": []}
{"role": "student", "content": "54 x 2. So it's uh from what I've understand negative. We, my nose, we have", "session_id": 12175, "sequence_id": 388, "annotations": []}
{"role": "student", "content": "2", "session_id": 12175, "sequence_id": 389, "annotations": []}
{"role": "student", "content": "times 54 and 2 minus 1 is 1, so it's just two times 54 and", "session_id": 12175, "sequence_id": 390, "annotations": []}
{"role": "student", "content": "2 times 54 X.", "session_id": 12175, "sequence_id": 391, "annotations": []}
{"role": "student", "content": "Am I correct", "session_id": 12175, "sequence_id": 392, "annotations": []}
{"role": "volunteer", "content": "Not, yeah, yeah, yep, so that's gonna be minus", "session_id": 12175, "sequence_id": 393, "annotations": []}
{"role": "student", "content": "100 and", "session_id": 12175, "sequence_id": 394, "annotations": []}
{"role": "volunteer", "content": "108", "session_id": 12175, "sequence_id": 395, "annotations": []}
{"role": "student", "content": "And then 182.", "session_id": 12175, "sequence_id": 396, "annotations": []}
{"role": "volunteer", "content": "OK, what's, uh, what, what happens to X?", "session_id": 12175, "sequence_id": 397, "annotations": []}
{"role": "student", "content": "X becomes a 1 because it it was a minus.", "session_id": 12175, "sequence_id": 398, "annotations": []}
{"role": "volunteer", "content": "No, it goes from x, it goes to X to the 1, right? Because", "session_id": 12175, "sequence_id": 399, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 12175, "sequence_id": 400, "annotations": []}
{"role": "student", "content": "it was suggested", "session_id": 12175, "sequence_id": 401, "annotations": []}
{"role": "volunteer", "content": "next to the one goes to.", "session_id": 12175, "sequence_id": 402, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 12175, "sequence_id": 403, "annotations": []}
{"role": "volunteer", "content": "no X^2 becomes X, right? 2 becomes 2 minus 1, so this should be X, right?", "session_id": 12175, "sequence_id": 404, "annotations": []}
{"role": "student", "content": "Oh yeah, I forgot. 108, I, I forgot, but I did follow the rule now X becomes one.", "session_id": 12175, "sequence_id": 405, "annotations": []}
{"role": "student", "content": "one", "session_id": 12175, "sequence_id": 406, "annotations": []}
{"role": "volunteer", "content": "OK, how about do do this next factor. What 182X become?", "session_id": 12175, "sequence_id": 407, "annotations": []}
{"role": "student", "content": "Um", "session_id": 12175, "sequence_id": 408, "annotations": []}
{"role": "student", "content": "wait", "session_id": 12175, "sequence_id": 409, "annotations": []}
{"role": "student", "content": "OK about it. There's nothing really much to wait, I mean.", "session_id": 12175, "sequence_id": 410, "annotations": []}
{"role": "student", "content": "think", "session_id": 12175, "sequence_id": 411, "annotations": []}
{"role": "student", "content": "It just becomes one.", "session_id": 12175, "sequence_id": 412, "annotations": []}
{"role": "student", "content": "and 182", "session_id": 12175, "sequence_id": 413, "annotations": []}
{"role": "student", "content": "then X-ray 1 minus 1 to 0. So it's just 182", "session_id": 12175, "sequence_id": 414, "annotations": []}
{"role": "volunteer", "content": "Yeah, what's what's X to the 0 equal to?", "session_id": 12175, "sequence_id": 415, "annotations": []}
{"role": "student", "content": "uh", "session_id": 12175, "sequence_id": 416, "annotations": []}
{"role": "student", "content": "X-rays the part of 0.", "session_id": 12175, "sequence_id": 417, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 12175, "sequence_id": 418, "annotations": []}
{"role": "student", "content": "is basically, wait, let me think. It's just 0, so it's just cancel.", "session_id": 12175, "sequence_id": 419, "annotations": []}
{"role": "volunteer", "content": "No", "session_id": 12175, "sequence_id": 420, "annotations": []}
{"role": "volunteer", "content": "Now what's up? OK, actually, let me do this. Think about this. What's um", "session_id": 12175, "sequence_id": 421, "annotations": []}
{"role": "volunteer", "content": "here", "session_id": 12175, "sequence_id": 422, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 12175, "sequence_id": 423, "annotations": []}
{"role": "volunteer", "content": "I'm trying to get my stylist back. This is.", "session_id": 12175, "sequence_id": 424, "annotations": []}
{"role": "student", "content": "uh", "session_id": 12175, "sequence_id": 425, "annotations": []}
{"role": "volunteer", "content": "this is a little hard. OK, what's um", "session_id": 12175, "sequence_id": 426, "annotations": []}
{"role": "student", "content": "is it", "session_id": 12175, "sequence_id": 427, "annotations": []}
{"role": "volunteer", "content": "let's do it this way. I wish I could", "session_id": 12175, "sequence_id": 428, "annotations": []}
{"role": "volunteer", "content": "Let's just", "session_id": 12175, "sequence_id": 429, "annotations": []}
{"role": "volunteer", "content": "Yes", "session_id": 12175, "sequence_id": 430, "annotations": []}
{"role": "student", "content": "is it basically become 182, because when I need 2 times off, I knew it.", "session_id": 12175, "sequence_id": 431, "annotations": []}
{"role": "volunteer", "content": "Yeah, because X to the zeros, they go to the 1, right? 2 to the 0 is equal to 13 of the zero secrets, so it's 182, right?", "session_id": 12175, "sequence_id": 432, "annotations": []}
{"role": "volunteer", "content": "OK, so this", "session_id": 12175, "sequence_id": 433, "annotations": []}
{"role": "volunteer", "content": "so now we got the derivative.", "session_id": 12175, "sequence_id": 434, "annotations": []}
{"role": "student", "content": "OK. Since we have this, we can do the one.", "session_id": 12175, "sequence_id": 435, "annotations": []}
{"role": "volunteer", "content": "Yeah.", "session_id": 12175, "sequence_id": 436, "annotations": []}
{"role": "student", "content": "You can finally do the formula. Finally,", "session_id": 12175, "sequence_id": 437, "annotations": []}
{"role": "volunteer", "content": "There's 12", "session_id": 12175, "sequence_id": 438, "annotations": []}
{"role": "volunteer", "content": "There's 12 go X^2.", "session_id": 12175, "sequence_id": 439, "annotations": []}
{"role": "volunteer", "content": "Anyway, you can do the quadratic formula, but", "session_id": 12175, "sequence_id": 440, "annotations": []}
{"role": "volunteer", "content": "it might be easier if you factor out a 12.", "session_id": 12175, "sequence_id": 441, "annotations": []}
{"role": "volunteer", "content": "This 12 times 10. It's not, no it doesn't. No.", "session_id": 12175, "sequence_id": 442, "annotations": []}
{"role": "volunteer", "content": "You're just gonna have to do the quad, you can do the quadratic formula and find the zeros here.", "session_id": 12175, "sequence_id": 443, "annotations": []}
{"role": "student", "content": "What's the difference for X_1 and X sub 2.", "session_id": 12175, "sequence_id": 444, "annotations": []}
{"role": "student", "content": "like", "session_id": 12175, "sequence_id": 445, "annotations": []}
{"role": "student", "content": "how", "session_id": 12175, "sequence_id": 446, "annotations": []}
{"role": "student", "content": "it's basically the same deep plug and the same things. How do they get like different answers to have.", "session_id": 12175, "sequence_id": 447, "annotations": []}
{"role": "student", "content": "Let me see.", "session_id": 12175, "sequence_id": 448, "annotations": []}
{"role": "volunteer", "content": "I don't know X of one. I, I don't know what you're talking about. You mean to the power.", "session_id": 12175, "sequence_id": 449, "annotations": []}
{"role": "student", "content": "No, it's up in", "session_id": 12175, "sequence_id": 450, "annotations": []}
{"role": "student", "content": "it's, yeah", "session_id": 12175, "sequence_id": 451, "annotations": []}
{"role": "student", "content": "It's, there's a in the solution, I know, for the solution of huge choratic formula to determine the x guardian of the of the of the each turning point and then uh above the substitution for saltfur white, there is 4.12 and 1.21.", "session_id": 12175, "sequence_id": 452, "annotations": []}
{"role": "student", "content": "So that's what we're trying to find.", "session_id": 12175, "sequence_id": 453, "annotations": []}
{"role": "volunteer", "content": "Well, OK, we're trying to find the zeros of this derivative, right?", "session_id": 12175, "sequence_id": 454, "annotations": []}
{"role": "volunteer", "content": "And what's the", "session_id": 12175, "sequence_id": 455, "annotations": []}
{"role": "volunteer", "content": "what we", "session_id": 12175, "sequence_id": 456, "annotations": []}
{"role": "student", "content": "Oh, it's, it's just the same thing, but they, ah yes, the evil twin analogy where you just change this, oh, OK, you just did that, but you changed the signs, OK. Let's do this. OK, what is RB equal to. value?", "session_id": 12175, "sequence_id": 457, "annotations": []}
{"role": "student", "content": "-108 + minus", "session_id": 12175, "sequence_id": 458, "annotations": []}
{"role": "volunteer", "content": "No, wait, wait a minute, what is um what is B equal to?", "session_id": 12175, "sequence_id": 459, "annotations": []}
{"role": "student", "content": "So", "session_id": 12175, "sequence_id": 460, "annotations": []}
{"role": "volunteer", "content": "Is it negative or positive?", "session_id": 12175, "sequence_id": 461, "annotations": []}
{"role": "student", "content": "Z", "session_id": 12175, "sequence_id": 462, "annotations": []}
{"role": "volunteer", "content": "Yeah, what's B", "session_id": 12175, "sequence_id": 463, "annotations": []}
{"role": "student", "content": "B is negative. RB from the ABC, B is -108, so it will basically become like positive.", "session_id": 12175, "sequence_id": 464, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 12175, "sequence_id": 465, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 12175, "sequence_id": 466, "annotations": []}
{"role": "student", "content": "I, yeah, from negative multiplied by riety of negative is positive. Is there say the positive and positive trans negative is positive. Uh,", "session_id": 12175, "sequence_id": 467, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 12175, "sequence_id": 468, "annotations": []}
{"role": "volunteer", "content": "Yeah, I'm just looking at the uh", "session_id": 12175, "sequence_id": 469, "annotations": []}
{"role": "student", "content": "That's it. I'm gonna write the formula first.", "session_id": 12175, "sequence_id": 470, "annotations": []}
{"role": "volunteer", "content": "right, so it should be it's negative B, so it should be 108, not -108.", "session_id": 12175, "sequence_id": 471, "annotations": []}
{"role": "volunteer", "content": "Negative B plus or minus.", "session_id": 12175, "sequence_id": 472, "annotations": []}
{"role": "student", "content": "Yeah, wait, negative B plus one. I'm gonna write the form that I want B square minus 4AC over", "session_id": 12175, "sequence_id": 473, "annotations": []}
{"role": "volunteer", "content": "Yeah, 2A.", "session_id": 12175, "sequence_id": 474, "annotations": []}
{"role": "student", "content": "2 weeks34C.", "session_id": 12175, "sequence_id": 475, "annotations": []}
{"role": "student", "content": "like", "session_id": 12175, "sequence_id": 476, "annotations": []}
{"role": "student", "content": "like", "session_id": 12175, "sequence_id": 477, "annotations": []}
{"role": "student", "content": "Oh my God", "session_id": 12175, "sequence_id": 478, "annotations": []}
{"role": "volunteer", "content": "I think the whole thing's over 2A, not just the uh", "session_id": 12175, "sequence_id": 479, "annotations": []}
{"role": "volunteer", "content": "square root, right", "session_id": 12175, "sequence_id": 480, "annotations": []}
{"role": "student", "content": "I, I can't. OK. I give up", "session_id": 12175, "sequence_id": 481, "annotations": []}
{"role": "student", "content": "I just remembered that, uh, the plus minus thing because I think of it kind of like an evil twin where it has two answers. Now, it will be plus the square root and plus the minus RB is 1-1, 0 my God, I.", "session_id": 12175, "sequence_id": 482, "annotations": []}
{"role": "volunteer", "content": "Yeah, those are big numbers.", "session_id": 12175, "sequence_id": 483, "annotations": []}
{"role": "student", "content": "That's it. I'm, I'm, I'm using, I'm using this. I'm using the system.", "session_id": 12175, "sequence_id": 484, "annotations": []}
{"role": "volunteer", "content": "Yeah, 108 2 minus 4AC.", "session_id": 12175, "sequence_id": 485, "annotations": []}
{"role": "student", "content": "for", "session_id": 12175, "sequence_id": 486, "annotations": []}
{"role": "student", "content": "Yeah.", "session_id": 12175, "sequence_id": 487, "annotations": []}
{"role": "volunteer", "content": "What's a, so B, B is 10 at minus 108, right? What's A equal to? What's A?", "session_id": 12175, "sequence_id": 488, "annotations": []}
{"role": "student", "content": "It is 12.", "session_id": 12175, "sequence_id": 489, "annotations": []}
{"role": "volunteer", "content": "12, and what's C?", "session_id": 12175, "sequence_id": 490, "annotations": []}
{"role": "student", "content": "C is 182.", "session_id": 12175, "sequence_id": 491, "annotations": []}
{"role": "volunteer", "content": "182, right.", "session_id": 12175, "sequence_id": 492, "annotations": []}
{"role": "student", "content": "I had an advanced, like, like", "session_id": 12175, "sequence_id": 493, "annotations": []}
{"role": "student", "content": "we had this in our Junior year. I kinda took uh kind of took a kind of loaded on my AP last year's for for this.", "session_id": 12175, "sequence_id": 494, "annotations": [{"pii_type": "GRADE_LEVEL", "surrogate": "Junior", "start": 19, "end": 25}]}
{"role": "student", "content": "um", "session_id": 12175, "sequence_id": 495, "annotations": []}
{"role": "student", "content": "and", "session_id": 12175, "sequence_id": 496, "annotations": []}
{"role": "volunteer", "content": "Yeah, these are big numbers", "session_id": 12175, "sequence_id": 497, "annotations": []}
{"role": "student", "content": "for", "session_id": 12175, "sequence_id": 498, "annotations": []}
{"role": "student", "content": "On I only got one.", "session_id": 12175, "sequence_id": 499, "annotations": []}
{"role": "student", "content": "of over", "session_id": 12175, "sequence_id": 500, "annotations": []}
{"role": "volunteer", "content": "I know what the answers are.", "session_id": 12175, "sequence_id": 501, "annotations": []}
{"role": "student", "content": "He", "session_id": 12175, "sequence_id": 502, "annotations": []}
{"role": "student", "content": "well", "session_id": 12175, "sequence_id": 503, "annotations": []}
{"role": "student", "content": "4580", "session_id": 12175, "sequence_id": 504, "annotations": []}
{"role": "student", "content": "I want this right.", "session_id": 12175, "sequence_id": 505, "annotations": []}
{"role": "student", "content": "Uh, 2 x 12 is 34.", "session_id": 12175, "sequence_id": 506, "annotations": []}
{"role": "student", "content": "I can write down here.", "session_id": 12175, "sequence_id": 507, "annotations": []}
{"role": "student", "content": "OK, that's it. I'm using this as a cycle", "session_id": 12175, "sequence_id": 508, "annotations": []}
{"role": "student", "content": "So", "session_id": 12175, "sequence_id": 509, "annotations": []}
{"role": "volunteer", "content": "I remember 108 gets divided by 24/2, right?", "session_id": 12175, "sequence_id": 510, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 12175, "sequence_id": 511, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 12175, "sequence_id": 512, "annotations": []}
{"role": "volunteer", "content": "The whole, the whole plant, I can't.", "session_id": 12175, "sequence_id": 513, "annotations": []}
{"role": "volunteer", "content": "All right.", "session_id": 12175, "sequence_id": 514, "annotations": []}
{"role": "student", "content": "Yeah, the whole thing is divided by 24. OK, so negative 108 squad.", "session_id": 12175, "sequence_id": 515, "annotations": []}
{"role": "student", "content": "is", "session_id": 12175, "sequence_id": 516, "annotations": []}
{"role": "volunteer", "content": "Yeah, it's so they", "session_id": 12175, "sequence_id": 517, "annotations": []}
{"role": "volunteer", "content": "use", "session_id": 12175, "sequence_id": 518, "annotations": []}
{"role": "student", "content": "11,000. 0 my God, I'm gonna do it straight -4, 12, and z is negative20. 0 my god, 20,000, 2,000,400. Can you confirm this for me, please?", "session_id": 12175, "sequence_id": 519, "annotations": []}
{"role": "student", "content": "I am having a psycho. If you have a additional calculator, can you check it for me please?", "session_id": 12175, "sequence_id": 520, "annotations": []}
{"role": "volunteer", "content": "Um, well, first of all, first of all, when you put in a, it's the whole negative 108.", "session_id": 12175, "sequence_id": 521, "annotations": []}
{"role": "volunteer", "content": "uh becomes when you square it, it becomes a positive number, right?", "session_id": 12175, "sequence_id": 522, "annotations": []}
{"role": "volunteer", "content": "So it should be -1082, but negative times the negative is a positive, so.", "session_id": 12175, "sequence_id": 523, "annotations": []}
{"role": "student", "content": "There's a class of food.", "session_id": 12175, "sequence_id": 524, "annotations": []}
{"role": "volunteer", "content": "so it's really, I, I get the whole thing as being 29", "session_id": 12175, "sequence_id": 525, "annotations": []}
{"role": "student", "content": "Um.", "session_id": 12175, "sequence_id": 526, "annotations": []}
{"role": "volunteer", "content": "2928.", "session_id": 12175, "sequence_id": 527, "annotations": []}
{"role": "volunteer", "content": "So you're, you're having two negative numbers, nega. This is a, this right here", "session_id": 12175, "sequence_id": 528, "annotations": []}
{"role": "student", "content": "Mm", "session_id": 12175, "sequence_id": 529, "annotations": []}
{"role": "volunteer", "content": "That's a positive number.", "session_id": 12175, "sequence_id": 530, "annotations": []}
{"role": "student", "content": "I'm gonna redo this. Oh, it's 4384. I had another, I have another answer with my, with my psychar right now. I probably did it wrong. I did not, uh, bracket it correctly.", "session_id": 12175, "sequence_id": 531, "annotations": []}
{"role": "volunteer", "content": "Yeah, sure.", "session_id": 12175, "sequence_id": 532, "annotations": []}
{"role": "student", "content": "Can you recheck, can you recheck it, please, if it's 48.", "session_id": 12175, "sequence_id": 533, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 12175, "sequence_id": 534, "annotations": []}
{"role": "volunteer", "content": "OK, 108 squared.", "session_id": 12175, "sequence_id": 535, "annotations": []}
{"role": "volunteer", "content": "is equal to 11,64, then minus", "session_id": 12175, "sequence_id": 536, "annotations": []}
{"role": "volunteer", "content": "4 times 12 is 48.", "session_id": 12175, "sequence_id": 537, "annotations": []}
{"role": "volunteer", "content": "times 182, is what? Is that correct? 182.", "session_id": 12175, "sequence_id": 538, "annotations": []}
{"role": "student", "content": "Yes.", "session_id": 12175, "sequence_id": 539, "annotations": []}
{"role": "volunteer", "content": "Yeah, I got the answer is 2.", "session_id": 12175, "sequence_id": 540, "annotations": []}
{"role": "volunteer", "content": "uh, in the radical,", "session_id": 12175, "sequence_id": 541, "annotations": []}
{"role": "student", "content": "Mm", "session_id": 12175, "sequence_id": 542, "annotations": []}
{"role": "volunteer", "content": "underneath the radical is 29", "session_id": 12175, "sequence_id": 543, "annotations": []}
{"role": "volunteer", "content": "I got this", "session_id": 12175, "sequence_id": 544, "annotations": []}
{"role": "volunteer", "content": "10", "session_id": 12175, "sequence_id": 545, "annotations": []}
{"role": "volunteer", "content": "8", "session_id": 12175, "sequence_id": 546, "annotations": []}
{"role": "volunteer", "content": "+ or minus", "session_id": 12175, "sequence_id": 547, "annotations": []}
{"role": "volunteer", "content": "radical.", "session_id": 12175, "sequence_id": 548, "annotations": []}
{"role": "student", "content": "But that square rooting it yet.", "session_id": 12175, "sequence_id": 549, "annotations": []}
{"role": "volunteer", "content": "what", "session_id": 12175, "sequence_id": 550, "annotations": []}
{"role": "student", "content": "We're not square rooting it. We're, we're just prioritizing the inside of the bracket.", "session_id": 12175, "sequence_id": 551, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 12175, "sequence_id": 552, "annotations": []}
{"role": "volunteer", "content": "Yeah, I know. Inside of the brac, well, I'm doing this. I don't know what you wanted, but then this is all over 24.", "session_id": 12175, "sequence_id": 553, "annotations": []}
{"role": "student", "content": "Mm", "session_id": 12175, "sequence_id": 554, "annotations": []}
{"role": "student", "content": "It's prioritize what's inside the", "session_id": 12175, "sequence_id": 555, "annotations": []}
{"role": "student", "content": "the boxing. Can you reconfirm the thing inside the bracket like for a square of 43.", "session_id": 12175, "sequence_id": 556, "annotations": []}
{"role": "student", "content": "4", "session_id": 12175, "sequence_id": 557, "annotations": []}
{"role": "student", "content": "38", "session_id": 12175, "sequence_id": 558, "annotations": []}
{"role": "volunteer", "content": "Well, I did, I did this, this whole thing here", "session_id": 12175, "sequence_id": 559, "annotations": []}
{"role": "student", "content": "Oh", "session_id": 12175, "sequence_id": 560, "annotations": []}
{"role": "student", "content": "Oh.", "session_id": 12175, "sequence_id": 561, "annotations": []}
{"role": "volunteer", "content": "that's equal 2928.", "session_id": 12175, "sequence_id": 562, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 12175, "sequence_id": 563, "annotations": []}
{"role": "volunteer", "content": "because this, this is square, right? You should have a, it's really minus 1.", "session_id": 12175, "sequence_id": 564, "annotations": []}
{"role": "volunteer", "content": "What, what number did you get? 45?", "session_id": 12175, "sequence_id": 565, "annotations": []}
{"role": "student", "content": "not 45 it. It's still oh, I actually was wrong.", "session_id": 12175, "sequence_id": 566, "annotations": []}
{"role": "student", "content": "What", "session_id": 12175, "sequence_id": 567, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 12175, "sequence_id": 568, "annotations": []}
{"role": "student", "content": "What the freak is", "session_id": 12175, "sequence_id": 569, "annotations": []}
{"role": "student", "content": "wrong with the calculator? Why is it giving me multiple", "session_id": 12175, "sequence_id": 570, "annotations": []}
{"role": "student", "content": "answers. I think.", "session_id": 12175, "sequence_id": 571, "annotations": []}
{"role": "volunteer", "content": "OK, just give me uh 22 numbers here. So", "session_id": 12175, "sequence_id": 572, "annotations": []}
{"role": "volunteer", "content": "this", "session_id": 12175, "sequence_id": 573, "annotations": []}
{"role": "student", "content": "2928", "session_id": 12175, "sequence_id": 574, "annotations": []}
{"role": "volunteer", "content": "yeah", "session_id": 12175, "sequence_id": 575, "annotations": []}
{"role": "student", "content": "It's officially 29", "session_id": 12175, "sequence_id": 576, "annotations": []}
{"role": "student", "content": "28", "session_id": 12175, "sequence_id": 577, "annotations": []}
{"role": "student", "content": "So we're both right. Oh my god, oh, I didn't see cause I didn't move. I only saw the 28, 0, OK, I see it now, great. We're gonna do the evil twin thing next.", "session_id": 12175, "sequence_id": 578, "annotations": []}
{"role": "student", "content": "y over to 4. We do this for positive.", "session_id": 12175, "sequence_id": 579, "annotations": []}
{"role": "student", "content": "OK", "session_id": 12175, "sequence_id": 580, "annotations": []}
{"role": "student", "content": "hm.", "session_id": 12175, "sequence_id": 581, "annotations": []}
{"role": "student", "content": "to", "session_id": 12175, "sequence_id": 582, "annotations": []}
{"role": "volunteer", "content": "that's just", "session_id": 12175, "sequence_id": 583, "annotations": []}
{"role": "student", "content": "OK. Oh my God, this is the pains of having a oh my God.", "session_id": 12175, "sequence_id": 584, "annotations": []}
{"role": "student", "content": "But 8 over so.", "session_id": 12175, "sequence_id": 585, "annotations": []}
{"role": "student", "content": "OK", "session_id": 12175, "sequence_id": 586, "annotations": []}
{"role": "student", "content": "Cancer can be. OK, I'm gonna do this, uh, fracture, 108 minus square root of square root of tuna to 8 over to 4.", "session_id": 12175, "sequence_id": 587, "annotations": []}
{"role": "student", "content": "Let's reconfirm is 2.2", "session_id": 12175, "sequence_id": 588, "annotations": []}
{"role": "student", "content": "and this", "session_id": 12175, "sequence_id": 589, "annotations": []}
{"role": "student", "content": "when you add this, it is a different number. It is 6.7.", "session_id": 12175, "sequence_id": 590, "annotations": []}
{"role": "student", "content": "I will redo it. The manual calculation.", "session_id": 12175, "sequence_id": 591, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 12175, "sequence_id": 592, "annotations": []}
{"role": "volunteer", "content": "Well, OK, you got two answers here, right? It's plus or minus. So there's two, you're finding two zeros of this. Remember what we're doing.", "session_id": 12175, "sequence_id": 593, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 12175, "sequence_id": 594, "annotations": []}
{"role": "volunteer", "content": "We're finding the Max and Min points of this.", "session_id": 12175, "sequence_id": 595, "annotations": []}
{"role": "volunteer", "content": "um", "session_id": 12175, "sequence_id": 596, "annotations": []}
{"role": "volunteer", "content": "derivative", "session_id": 12175, "sequence_id": 597, "annotations": []}
{"role": "student", "content": "I have to think through", "session_id": 12175, "sequence_id": 598, "annotations": []}
{"role": "student", "content": "108 + 2928 and spirit of to", "session_id": 12175, "sequence_id": 599, "annotations": []}
{"role": "student", "content": "Then then until square root. OK, 2928 and we divide this one.", "session_id": 12175, "sequence_id": 600, "annotations": []}
{"role": "student", "content": "6.7. OK. This is boat right. Let's, let's continue. So since we have both of these, that's subject to this from the original number that we had. I'm not really urgent number, the original like I know.", "session_id": 12175, "sequence_id": 601, "annotations": []}
{"role": "volunteer", "content": "OK, so I got just uh let's to clarify, I'm kinda um", "session_id": 12175, "sequence_id": 602, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 12175, "sequence_id": 603, "annotations": []}
{"role": "volunteer", "content": "I got these answers to be", "session_id": 12175, "sequence_id": 604, "annotations": []}
{"role": "volunteer", "content": "the two answers are about", "session_id": 12175, "sequence_id": 605, "annotations": []}
{"role": "volunteer", "content": "um", "session_id": 12175, "sequence_id": 606, "annotations": []}
{"role": "volunteer", "content": "let's see, 6.", "session_id": 12175, "sequence_id": 607, "annotations": []}
{"role": "volunteer", "content": "7256", "session_id": 12175, "sequence_id": 608, "annotations": []}
{"role": "volunteer", "content": "equals", "session_id": 12175, "sequence_id": 609, "annotations": []}
{"role": "volunteer", "content": "6.", "session_id": 12175, "sequence_id": 610, "annotations": []}
{"role": "volunteer", "content": "7", "session_id": 12175, "sequence_id": 611, "annotations": []}
{"role": "volunteer", "content": "um", "session_id": 12175, "sequence_id": 612, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 12175, "sequence_id": 613, "annotations": []}
{"role": "student", "content": "Mhm", "session_id": 12175, "sequence_id": 614, "annotations": []}
{"role": "volunteer", "content": "5", "session_id": 12175, "sequence_id": 615, "annotations": []}
{"role": "volunteer", "content": "5. OK. And then I also had 4.5, that'd be about, it's about 2.", "session_id": 12175, "sequence_id": 616, "annotations": []}
{"role": "volunteer", "content": "24", "session_id": 12175, "sequence_id": 617, "annotations": []}
{"role": "student", "content": "Oh, OK. And m is 6.75. I just wanna do it full bar.", "session_id": 12175, "sequence_id": 618, "annotations": []}
{"role": "volunteer", "content": "I'm, I'm um", "session_id": 12175, "sequence_id": 619, "annotations": []}
{"role": "volunteer", "content": "let's see, it's a little bit too.", "session_id": 12175, "sequence_id": 620, "annotations": []}
{"role": "student", "content": "very, but still, speaking of two decimals, OK, 2524. What we can do is that we can substitute this with the original formula with the formula, I'm gonna pull this up. The formula that we originally had uh for X-rays the part of 3.", "session_id": 12175, "sequence_id": 621, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 12175, "sequence_id": 622, "annotations": []}
{"role": "student", "content": "minus 3", "session_id": 12175, "sequence_id": 623, "annotations": []}
{"role": "student", "content": "4.", "session_id": 12175, "sequence_id": 624, "annotations": []}
{"role": "volunteer", "content": "Yeah, you could, yeah, you can do that. Let me show you, let me look at their solution a little more cause we're getting caught up in a lot of numbers.", "session_id": 12175, "sequence_id": 625, "annotations": []}
{"role": "student", "content": "Yes, we are.", "session_id": 12175, "sequence_id": 626, "annotations": []}
{"role": "student", "content": "Uh.", "session_id": 12175, "sequence_id": 627, "annotations": []}
{"role": "volunteer", "content": "And uh there's, there's easier ways to do this, and I just want to see what they've taught you. Can you um", "session_id": 12175, "sequence_id": 628, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 12175, "sequence_id": 629, "annotations": []}
{"role": "volunteer", "content": "can you bring this, can you pull this sheet over here so I could see it a little more.", "session_id": 12175, "sequence_id": 630, "annotations": []}
{"role": "volunteer", "content": "Mm", "session_id": 12175, "sequence_id": 631, "annotations": []}
{"role": "student", "content": "Oh, wait, where, where are you?", "session_id": 12175, "sequence_id": 632, "annotations": []}
{"role": "student", "content": "Are you going you up again.", "session_id": 12175, "sequence_id": 633, "annotations": []}
{"role": "volunteer", "content": "Up to the original problem.", "session_id": 12175, "sequence_id": 634, "annotations": []}
{"role": "volunteer", "content": "um,", "session_id": 12175, "sequence_id": 635, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 12175, "sequence_id": 636, "annotations": []}
{"role": "student", "content": "I, I think I can move this.", "session_id": 12175, "sequence_id": 637, "annotations": []}
{"role": "student", "content": "OK", "session_id": 12175, "sequence_id": 638, "annotations": []}
{"role": "volunteer", "content": "can you move it, move it to the left cause I, so I can see it. I, I wanna see what they're", "session_id": 12175, "sequence_id": 639, "annotations": []}
{"role": "student", "content": "OK, here. It's much enlarged right now.", "session_id": 12175, "sequence_id": 640, "annotations": []}
{"role": "volunteer", "content": "OK, where did you put it? Down farther? I can't.", "session_id": 12175, "sequence_id": 641, "annotations": []}
{"role": "student", "content": "Yeah, it's much bigger.", "session_id": 12175, "sequence_id": 642, "annotations": []}
{"role": "volunteer", "content": "It's", "session_id": 12175, "sequence_id": 643, "annotations": []}
{"role": "volunteer", "content": "mm", "session_id": 12175, "sequence_id": 644, "annotations": []}
{"role": "student", "content": "You just subs substitution and then you just make the box of X and Y.", "session_id": 12175, "sequence_id": 645, "annotations": []}
{"role": "volunteer", "content": "I don't, I don't see it. Let's see.", "session_id": 12175, "sequence_id": 646, "annotations": []}
{"role": "student", "content": "because they can always, uh", "session_id": 12175, "sequence_id": 647, "annotations": []}
{"role": "volunteer", "content": "I still don't, I don't see the second sheet.", "session_id": 12175, "sequence_id": 648, "annotations": []}
{"role": "student", "content": "Oh", "session_id": 12175, "sequence_id": 649, "annotations": []}
{"role": "volunteer", "content": "Can you just put it on top of the first sheet because I can", "session_id": 12175, "sequence_id": 650, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 12175, "sequence_id": 651, "annotations": []}
{"role": "student", "content": "OK, OK. It's, oh my God, can you see it?", "session_id": 12175, "sequence_id": 652, "annotations": []}
{"role": "student", "content": "I", "session_id": 12175, "sequence_id": 653, "annotations": []}
{"role": "volunteer", "content": "OK, now I see it. I see it. That's good, that's good. 00, move it back to the, OK, I can kinda", "session_id": 12175, "sequence_id": 654, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 12175, "sequence_id": 655, "annotations": []}
{"role": "student", "content": "that", "session_id": 12175, "sequence_id": 656, "annotations": []}
{"role": "student", "content": "s", "session_id": 12175, "sequence_id": 657, "annotations": []}
{"role": "volunteer", "content": "yeah, move it left over the top of the other one, OK.", "session_id": 12175, "sequence_id": 658, "annotations": []}
{"role": "student", "content": "and", "session_id": 12175, "sequence_id": 659, "annotations": []}
{"role": "volunteer", "content": "All right, use the quadratic.", "session_id": 12175, "sequence_id": 660, "annotations": []}
{"role": "volunteer", "content": "So they call it a turning point. Yeah, I would, I'd call it.", "session_id": 12175, "sequence_id": 661, "annotations": []}
{"role": "volunteer", "content": "maximum. OK, that's fine.", "session_id": 12175, "sequence_id": 662, "annotations": []}
{"role": "volunteer", "content": "Well.", "session_id": 12175, "sequence_id": 663, "annotations": []}
{"role": "student", "content": "We solved the quadratic formula.", "session_id": 12175, "sequence_id": 664, "annotations": []}
{"role": "volunteer", "content": "it's the box, the box is in the way now. OK.", "session_id": 12175, "sequence_id": 665, "annotations": []}
{"role": "volunteer", "content": "That's OK. I, uh, no.", "session_id": 12175, "sequence_id": 666, "annotations": []}
{"role": "student", "content": "but on the way. We, this is how she", "session_id": 12175, "sequence_id": 667, "annotations": []}
{"role": "student", "content": "now.", "session_id": 12175, "sequence_id": 668, "annotations": []}
{"role": "student", "content": "I'm in. Here, I think you can see it better. There is no solution blocking it.", "session_id": 12175, "sequence_id": 669, "annotations": []}
{"role": "volunteer", "content": "I sure, I, I still can't, I can't see it. I wish I could. Can you move it this way?", "session_id": 12175, "sequence_id": 670, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 12175, "sequence_id": 671, "annotations": []}
{"role": "volunteer", "content": "Do that. Let me just look at it a little bit.", "session_id": 12175, "sequence_id": 672, "annotations": []}
{"role": "student", "content": "Suitated. OK.", "session_id": 12175, "sequence_id": 673, "annotations": []}
{"role": "student", "content": "I don't know how we do it myself. OK.", "session_id": 12175, "sequence_id": 674, "annotations": []}
{"role": "student", "content": "the numbers.", "session_id": 12175, "sequence_id": 675, "annotations": []}
{"role": "volunteer", "content": "Oh jeez", "session_id": 12175, "sequence_id": 676, "annotations": []}
{"role": "student", "content": "down. Wait.", "session_id": 12175, "sequence_id": 677, "annotations": []}
{"role": "student", "content": "what", "session_id": 12175, "sequence_id": 678, "annotations": []}
{"role": "volunteer", "content": "Do you mind if we clear all the work we have now, we can just delete it or do you need to save this?", "session_id": 12175, "sequence_id": 679, "annotations": []}
{"role": "student", "content": "And you say there's no. Oh wait, no, I, we still need to do the substitution and I need to do the drafting, but", "session_id": 12175, "sequence_id": 680, "annotations": []}
{"role": "volunteer", "content": "OK, OK. Um", "session_id": 12175, "sequence_id": 681, "annotations": []}
{"role": "volunteer", "content": "um", "session_id": 12175, "sequence_id": 682, "annotations": []}
{"role": "student", "content": "like", "session_id": 12175, "sequence_id": 683, "annotations": []}
{"role": "student", "content": "Yes, times", "session_id": 12175, "sequence_id": 684, "annotations": []}
{"role": "volunteer", "content": "All right, all right. Well, I guess you can, you can plug these numbers into this equation and get V of X, but let's do a little, let's get a little graph going, huh?", "session_id": 12175, "sequence_id": 685, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 12175, "sequence_id": 686, "annotations": []}
{"role": "volunteer", "content": "Let's start. Let's get a little graph before you plug in these numbers.", "session_id": 12175, "sequence_id": 687, "annotations": []}
{"role": "student", "content": "OK", "session_id": 12175, "sequence_id": 688, "annotations": []}
{"role": "volunteer", "content": "Now let's go down to the bottom.", "session_id": 12175, "sequence_id": 689, "annotations": []}
{"role": "student", "content": "Let, yeah, let's go down to the very bottom.", "session_id": 12175, "sequence_id": 690, "annotations": []}
{"role": "student", "content": "here.", "session_id": 12175, "sequence_id": 691, "annotations": []}
{"role": "student", "content": "of the grass", "session_id": 12175, "sequence_id": 692, "annotations": []}
{"role": "volunteer", "content": "Let's go to the bottom of the page. I'm just gonna guess that they", "session_id": 12175, "sequence_id": 693, "annotations": []}
{"role": "volunteer", "content": "um", "session_id": 12175, "sequence_id": 694, "annotations": []}
{"role": "volunteer", "content": "I still need more. We're kind of running out of space. Do we have any more space?", "session_id": 12175, "sequence_id": 695, "annotations": []}
{"role": "student", "content": "but we are. OK. Uh, I can, I think I can make the", "session_id": 12175, "sequence_id": 696, "annotations": []}
{"role": "student", "content": "uh", "session_id": 12175, "sequence_id": 697, "annotations": []}
{"role": "volunteer", "content": "Can you make a new page, or let's, let's", "session_id": 12175, "sequence_id": 698, "annotations": []}
{"role": "student", "content": "No, it's, it's down. It's very down.", "session_id": 12175, "sequence_id": 699, "annotations": []}
{"role": "volunteer", "content": "Yeah, pretty new", "session_id": 12175, "sequence_id": 700, "annotations": []}
{"role": "student", "content": "Uh, you see, the thing that I'm drawing", "session_id": 12175, "sequence_id": 701, "annotations": []}
{"role": "student", "content": "ah", "session_id": 12175, "sequence_id": 702, "annotations": []}
{"role": "student", "content": "it's something", "session_id": 12175, "sequence_id": 703, "annotations": []}
{"role": "student", "content": "Oh yeah, here.", "session_id": 12175, "sequence_id": 704, "annotations": []}
{"role": "volunteer", "content": "Let's let's um delete all this stuff, man, let's try to erase this, maybe, maybe this is what we need to.", "session_id": 12175, "sequence_id": 705, "annotations": []}
{"role": "volunteer", "content": "do", "session_id": 12175, "sequence_id": 706, "annotations": []}
{"role": "student", "content": "Here.", "session_id": 12175, "sequence_id": 707, "annotations": []}
{"role": "volunteer", "content": "Let's just erase this because this is just work. This is scrap work here.", "session_id": 12175, "sequence_id": 708, "annotations": []}
{"role": "student", "content": "No, this is kind of like the solution that our teachers finding. We can do like the, the thing down. You can do the thing down long. It starts.", "session_id": 12175, "sequence_id": 709, "annotations": []}
{"role": "volunteer", "content": "OK, can you check, can you take the page lower? I can't see. I can't work. I got no spot to work.", "session_id": 12175, "sequence_id": 710, "annotations": []}
{"role": "student", "content": "Oh, is that", "session_id": 12175, "sequence_id": 711, "annotations": []}
{"role": "student", "content": "you can scroll it down, it's quite slower actually here.", "session_id": 12175, "sequence_id": 712, "annotations": []}
{"role": "volunteer", "content": "Mm, really", "session_id": 12175, "sequence_id": 713, "annotations": []}
{"role": "student", "content": "Yeah, there's more, there's more space actually in the whiteboard if you, if you just scroll down.", "session_id": 12175, "sequence_id": 714, "annotations": []}
{"role": "student", "content": "OK", "session_id": 12175, "sequence_id": 715, "annotations": []}
{"role": "student", "content": "Yeah.", "session_id": 12175, "sequence_id": 716, "annotations": []}
{"role": "volunteer", "content": "I tried to, what's this do? The 4 screen share, OK.", "session_id": 12175, "sequence_id": 717, "annotations": []}
{"role": "student", "content": "I.", "session_id": 12175, "sequence_id": 718, "annotations": []}
{"role": "volunteer", "content": "Go back. OK. What's this?", "session_id": 12175, "sequence_id": 719, "annotations": []}
{"role": "student", "content": "If you, if you scroll down, there's infinitely more space.", "session_id": 12175, "sequence_id": 720, "annotations": []}
{"role": "volunteer", "content": "Yeah, mine doesn't, mine doesn't seem to let me do it.", "session_id": 12175, "sequence_id": 721, "annotations": []}
{"role": "student", "content": "Oh, what device are you using? I'm just, I'm using, I'm using, I'm using a Chromebook right now.", "session_id": 12175, "sequence_id": 722, "annotations": []}
{"role": "volunteer", "content": "Upload vote. Oh, I got a um", "session_id": 12175, "sequence_id": 723, "annotations": []}
{"role": "volunteer", "content": "laptop", "session_id": 12175, "sequence_id": 724, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 12175, "sequence_id": 725, "annotations": []}
{"role": "volunteer", "content": "Well, I don't know. I mean, I", "session_id": 12175, "sequence_id": 726, "annotations": []}
{"role": "volunteer", "content": "I guess I could work it on a piece of paper and upload a photograph", "session_id": 12175, "sequence_id": 727, "annotations": []}
{"role": "student", "content": "OK, OK, OK", "session_id": 12175, "sequence_id": 728, "annotations": []}
{"role": "student", "content": "Uh, for the", "session_id": 12175, "sequence_id": 729, "annotations": []}
{"role": "student", "content": "yeah,", "session_id": 12175, "sequence_id": 730, "annotations": []}
{"role": "volunteer", "content": "So I'm running out of I'm running out a little bit of time here. But let me, give me those, I'm gonna give, I'm gonna draw a picture and upload it in a paper in front of me, OK?", "session_id": 12175, "sequence_id": 731, "annotations": []}
{"role": "volunteer", "content": "So can you give me the zeros that you have?", "session_id": 12175, "sequence_id": 732, "annotations": []}
{"role": "volunteer", "content": "Uh", "session_id": 12175, "sequence_id": 733, "annotations": []}
{"role": "student", "content": "Uh, desserts that we have is just", "session_id": 12175, "sequence_id": 734, "annotations": []}
{"role": "student", "content": "uh 0.", "session_id": 12175, "sequence_id": 735, "annotations": []}
{"role": "volunteer", "content": "There was one at 0. We, what, what was the other zero of the polynomial 6.5 and 7, right?", "session_id": 12175, "sequence_id": 736, "annotations": []}
{"role": "student", "content": "Yeah, 6 and 6.5 and 7 and 0 and 0. Wait, 0 and 0.", "session_id": 12175, "sequence_id": 737, "annotations": []}
{"role": "volunteer", "content": "Now, this is only 30s, 20, 6.5, and 7.", "session_id": 12175, "sequence_id": 738, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 12175, "sequence_id": 739, "annotations": []}
{"role": "volunteer", "content": "And can you give me the uh what's the formula for VFX again?", "session_id": 12175, "sequence_id": 740, "annotations": []}
{"role": "student", "content": "Uh LWH land with height.", "session_id": 12175, "sequence_id": 741, "annotations": []}
{"role": "student", "content": "What?", "session_id": 12175, "sequence_id": 742, "annotations": []}
{"role": "volunteer", "content": "Yeah, I know, no, I mean the, the V(X), we got, we got a polynomial up here. I'll scroll up. We, we calculated something.", "session_id": 12175, "sequence_id": 743, "annotations": []}
{"role": "volunteer", "content": "This is, this is hard. I need a better way to", "session_id": 12175, "sequence_id": 744, "annotations": []}
{"role": "student", "content": "A woman", "session_id": 12175, "sequence_id": 745, "annotations": []}
{"role": "volunteer", "content": "OK, V(X) is equal to 4 X cubed, right?", "session_id": 12175, "sequence_id": 746, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 12175, "sequence_id": 747, "annotations": []}
{"role": "volunteer", "content": "minus", "session_id": 12175, "sequence_id": 748, "annotations": []}
{"role": "volunteer", "content": "54 X.", "session_id": 12175, "sequence_id": 749, "annotations": []}
{"role": "volunteer", "content": "square", "session_id": 12175, "sequence_id": 750, "annotations": []}
{"role": "student", "content": "4 y + 182.", "session_id": 12175, "sequence_id": 751, "annotations": []}
{"role": "volunteer", "content": "Calculus X. OK.", "session_id": 12175, "sequence_id": 752, "annotations": []}
{"role": "volunteer", "content": "So", "session_id": 12175, "sequence_id": 753, "annotations": []}
{"role": "volunteer", "content": "um", "session_id": 12175, "sequence_id": 754, "annotations": []}
{"role": "volunteer", "content": "at one", "session_id": 12175, "sequence_id": 755, "annotations": []}
{"role": "student", "content": "OK", "session_id": 12175, "sequence_id": 756, "annotations": []}
{"role": "student", "content": "Continue", "session_id": 12175, "sequence_id": 757, "annotations": []}
{"role": "student", "content": "uh", "session_id": 12175, "sequence_id": 758, "annotations": []}
{"role": "student", "content": "uh, we already have the X. I think the reason why they wanted us to substitute after was that we can make like the turning points for the Y.", "session_id": 12175, "sequence_id": 759, "annotations": []}
{"role": "student", "content": "let me", "session_id": 12175, "sequence_id": 760, "annotations": []}
{"role": "volunteer", "content": "Yeah, yeah, I, I got, I'm giving you a picture here. Um", "session_id": 12175, "sequence_id": 761, "annotations": []}
{"role": "volunteer", "content": "this point here is", "session_id": 12175, "sequence_id": 762, "annotations": []}
{"role": "volunteer", "content": "2.", "session_id": 12175, "sequence_id": 763, "annotations": []}
{"role": "student", "content": "OK, uh, let me speak from there. 6.75.", "session_id": 12175, "sequence_id": 764, "annotations": []}
{"role": "student", "content": "46175.", "session_id": 12175, "sequence_id": 765, "annotations": []}
{"role": "student", "content": "minus 54, 6.75 square. Yeah, I think 6175. For the first, the first turning point for X with the with the uh 6.75 for the first turning point, if, uh, for the 6.75.", "session_id": 12175, "sequence_id": 766, "annotations": []}
{"role": "student", "content": "Can you see what I've, oh wait, can you scroll up back up where you had your, I don't know, I can't change colors. The one where you had, you wrote in red the matching thingy. Why is it like this.", "session_id": 12175, "sequence_id": 767, "annotations": []}
{"role": "student", "content": "I", "session_id": 12175, "sequence_id": 768, "annotations": []}
{"role": "student", "content": "I see a but.", "session_id": 12175, "sequence_id": 769, "annotations": []}
{"role": "volunteer", "content": "Shouldn't Geometry", "session_id": 12175, "sequence_id": 770, "annotations": []}
{"role": "student", "content": "Wait,", "session_id": 12175, "sequence_id": 771, "annotations": []}
{"role": "student", "content": "uh", "session_id": 12175, "sequence_id": 772, "annotations": []}
{"role": "student", "content": "Now how are", "session_id": 12175, "sequence_id": 773, "annotations": []}
{"role": "student", "content": "How are you graft this.", "session_id": 12175, "sequence_id": 774, "annotations": []}
{"role": "student", "content": "God is so big.", "session_id": 12175, "sequence_id": 775, "annotations": []}
{"role": "volunteer", "content": "OK, your maximum volume's got, OK, I'm gonna take", "session_id": 12175, "sequence_id": 776, "annotations": []}
{"role": "volunteer", "content": "this", "session_id": 12175, "sequence_id": 777, "annotations": []}
{"role": "student", "content": "Oh", "session_id": 12175, "sequence_id": 778, "annotations": []}
{"role": "volunteer", "content": "Let's see how, I don't know how exactly I'm gonna do this, but how do I say this is so difficult to work with.", "session_id": 12175, "sequence_id": 779, "annotations": []}
{"role": "volunteer", "content": "Yeah.", "session_id": 12175, "sequence_id": 780, "annotations": []}
{"role": "student", "content": "If you do the substitution for the 6.75 is 1.6.", "session_id": 12175, "sequence_id": 781, "annotations": []}
{"role": "student", "content": "still 1.6", "session_id": 12175, "sequence_id": 782, "annotations": []}
{"role": "volunteer", "content": "It could be a negative. I think if you put in a", "session_id": 12175, "sequence_id": 783, "annotations": []}
{"role": "volunteer", "content": "from my graphs, if you put in 6.75, you should get a negative result.", "session_id": 12175, "sequence_id": 784, "annotations": []}
{"role": "student", "content": "Yes, that's right. I just forgot to mention the negative when I wrote it in the board, it is negative though.", "session_id": 12175, "sequence_id": 785, "annotations": []}
{"role": "volunteer", "content": "And then when you put in 2.5, you get the maximum. That should be a positive number.", "session_id": 12175, "sequence_id": 786, "annotations": []}
{"role": "student", "content": "Wait, yeah, 2.2", "session_id": 12175, "sequence_id": 787, "annotations": []}
{"role": "student", "content": "5", "session_id": 12175, "sequence_id": 788, "annotations": []}
{"role": "student", "content": "2.25.", "session_id": 12175, "sequence_id": 789, "annotations": []}
{"role": "student", "content": "Oh my God.", "session_id": 12175, "sequence_id": 790, "annotations": []}
{"role": "student", "content": "25", "session_id": 12175, "sequence_id": 791, "annotations": []}
{"role": "student", "content": "Uh, the Quran, it's a positive 181?", "session_id": 12175, "sequence_id": 792, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 12175, "sequence_id": 793, "annotations": []}
{"role": "student", "content": "and it's not that bad.", "session_id": 12175, "sequence_id": 794, "annotations": []}
{"role": "volunteer", "content": "Yeah, that, that could be right.", "session_id": 12175, "sequence_id": 795, "annotations": []}
{"role": "volunteer", "content": "I'm gonna", "session_id": 12175, "sequence_id": 796, "annotations": []}
{"role": "student", "content": "Can you", "session_id": 12175, "sequence_id": 797, "annotations": []}
{"role": "student", "content": "can", "session_id": 12175, "sequence_id": 798, "annotations": []}
{"role": "student", "content": "can you double check on my word, uh, when you sensitive it.", "session_id": 12175, "sequence_id": 799, "annotations": []}
{"role": "volunteer", "content": "uh I'm gonna, well, OK, let me just, um, I'm uploading a photo. This is", "session_id": 12175, "sequence_id": 800, "annotations": []}
{"role": "volunteer", "content": "I'm taking it on my phone and then I got a upload.", "session_id": 12175, "sequence_id": 801, "annotations": []}
{"role": "volunteer", "content": "kind of a", "session_id": 12175, "sequence_id": 802, "annotations": []}
{"role": "student", "content": "OK", "session_id": 12175, "sequence_id": 803, "annotations": []}
{"role": "volunteer", "content": "convoluted way of doing it, but I would try.", "session_id": 12175, "sequence_id": 804, "annotations": []}
{"role": "volunteer", "content": "I'll try to get you a picture here.", "session_id": 12175, "sequence_id": 805, "annotations": []}
{"role": "student", "content": "Oh", "session_id": 12175, "sequence_id": 806, "annotations": []}
{"role": "volunteer", "content": "cause I'm kind of learning how to use this interface. I've only been doing this tutoring thing for", "session_id": 12175, "sequence_id": 807, "annotations": []}
{"role": "student", "content": "Oh, did you realize in this interface, you can, if you have the mass, you, you have a mouse with you, right?", "session_id": 12175, "sequence_id": 808, "annotations": []}
{"role": "volunteer", "content": "Yeah, I have a mouse. I also have a style that. What else can I do? I'm just learning this.", "session_id": 12175, "sequence_id": 809, "annotations": []}
{"role": "student", "content": "Oh, basically in this app, like in, you know the thing in between the miles from the left and the right, there's the whey thing, right? You, instead of scrolling like up and down, you kind of use it like uh MS paint where you just long press it and you can just move up and down.", "session_id": 12175, "sequence_id": 810, "annotations": []}
{"role": "student", "content": "You long wait", "session_id": 12175, "sequence_id": 811, "annotations": []}
{"role": "volunteer", "content": "Well, I know how to do, I know how to move the cursor up and down. I can move the page up and down. I can't move it left, right.", "session_id": 12175, "sequence_id": 812, "annotations": []}
{"role": "volunteer", "content": "Um, but here, I'm gonna try this now.", "session_id": 12175, "sequence_id": 813, "annotations": []}
{"role": "student", "content": "No, like, like what you can basically do is like the thing in between the scroll up, like the thing in between the left and the right, and I Lenovo like maspa right now what we can do is that, like you hear the song, like it clicks like.", "session_id": 12175, "sequence_id": 814, "annotations": []}
{"role": "student", "content": "your long press it and that's how you can like move up and down.", "session_id": 12175, "sequence_id": 815, "annotations": []}
{"role": "volunteer", "content": "Are you long press it on your left mouse button? Oh, right now.", "session_id": 12175, "sequence_id": 816, "annotations": []}
{"role": "student", "content": "If you hear the click click", "session_id": 12175, "sequence_id": 817, "annotations": []}
{"role": "student", "content": "that's the sound when you realize that you can, you can move it.", "session_id": 12175, "sequence_id": 818, "annotations": []}
{"role": "volunteer", "content": "Oh yeah, I got, I got a, I, I got a wheel. I can", "session_id": 12175, "sequence_id": 819, "annotations": []}
{"role": "volunteer", "content": "I can do that. What I'd like to, I'd like to be able to draw better, but yeah, I can't. I got a stylist, but it's hard.", "session_id": 12175, "sequence_id": 820, "annotations": []}
{"role": "student", "content": "Um, yeah, uh.", "session_id": 12175, "sequence_id": 821, "annotations": []}
{"role": "volunteer", "content": "All right, let me continue this", "session_id": 12175, "sequence_id": 822, "annotations": []}
{"role": "student", "content": "OK", "session_id": 12175, "sequence_id": 823, "annotations": []}
{"role": "volunteer", "content": "Let me send you this picture and we can talk about it, OK? I think that's maybe, I think it's maybe my best.", "session_id": 12175, "sequence_id": 824, "annotations": []}
{"role": "volunteer", "content": "way to do this", "session_id": 12175, "sequence_id": 825, "annotations": []}
{"role": "student", "content": "So", "session_id": 12175, "sequence_id": 826, "annotations": []}
{"role": "volunteer", "content": "I'll send you the", "session_id": 12175, "sequence_id": 827, "annotations": []}
{"role": "student", "content": "Well", "session_id": 12175, "sequence_id": 828, "annotations": []}
{"role": "volunteer", "content": "uh", "session_id": 12175, "sequence_id": 829, "annotations": []}
{"role": "volunteer", "content": "come on.", "session_id": 12175, "sequence_id": 830, "annotations": []}
{"role": "student", "content": "when", "session_id": 12175, "sequence_id": 831, "annotations": []}
{"role": "student", "content": "and looking around.", "session_id": 12175, "sequence_id": 832, "annotations": []}
{"role": "student", "content": "and", "session_id": 12175, "sequence_id": 833, "annotations": []}
{"role": "student", "content": "Uh so.", "session_id": 12175, "sequence_id": 834, "annotations": []}
{"role": "student", "content": "go up in the player.", "session_id": 12175, "sequence_id": 835, "annotations": []}
{"role": "student", "content": "yeah.", "session_id": 12175, "sequence_id": 836, "annotations": []}
{"role": "student", "content": "and.", "session_id": 12175, "sequence_id": 837, "annotations": []}
{"role": "student", "content": "but it was a picture", "session_id": 12175, "sequence_id": 838, "annotations": []}
{"role": "student", "content": "Never mind.", "session_id": 12175, "sequence_id": 839, "annotations": []}
{"role": "student", "content": "I.", "session_id": 12175, "sequence_id": 840, "annotations": []}
{"role": "student", "content": "again.", "session_id": 12175, "sequence_id": 841, "annotations": []}
{"role": "student", "content": "So", "session_id": 12175, "sequence_id": 842, "annotations": []}
{"role": "student", "content": "Let me", "session_id": 12175, "sequence_id": 843, "annotations": []}
{"role": "student", "content": "see.", "session_id": 12175, "sequence_id": 844, "annotations": []}
{"role": "volunteer", "content": "OK, let's see. I don't know if this is gonna, how this is gonna work, but", "session_id": 12175, "sequence_id": 845, "annotations": []}
{"role": "student", "content": "Oh, how are you gonna", "session_id": 12175, "sequence_id": 846, "annotations": []}
{"role": "volunteer", "content": "I'm trying to, I'm trying to upload.", "session_id": 12175, "sequence_id": 847, "annotations": []}
{"role": "student", "content": "upload photos beside the band", "session_id": 12175, "sequence_id": 848, "annotations": []}
{"role": "student", "content": "Mm.", "session_id": 12175, "sequence_id": 849, "annotations": []}
{"role": "volunteer", "content": "I'm trying to upload an image.", "session_id": 12175, "sequence_id": 850, "annotations": []}
{"role": "volunteer", "content": "um, but I don't know, I've never tried this.", "session_id": 12175, "sequence_id": 851, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 12175, "sequence_id": 852, "annotations": []}
{"role": "student", "content": "Oh, you know where, where the button to upload this.", "session_id": 12175, "sequence_id": 853, "annotations": []}
{"role": "volunteer", "content": "Do you see the image I uploaded sideways. I can't rotate it. Well.", "session_id": 12175, "sequence_id": 854, "annotations": []}
{"role": "student", "content": "Oh, I will, I'll, I'll rotate it. I have, I have been", "session_id": 12175, "sequence_id": 855, "annotations": []}
{"role": "volunteer", "content": "Can you, can you rotate that?", "session_id": 12175, "sequence_id": 856, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 12175, "sequence_id": 857, "annotations": []}
{"role": "volunteer", "content": "I wanna just show you what we're", "session_id": 12175, "sequence_id": 858, "annotations": []}
{"role": "student", "content": "You did though.", "session_id": 12175, "sequence_id": 859, "annotations": []}
{"role": "student", "content": "yeah.", "session_id": 12175, "sequence_id": 860, "annotations": []}
{"role": "student", "content": "um", "session_id": 12175, "sequence_id": 861, "annotations": []}
{"role": "volunteer", "content": "I want you to, I want to show you what we're doing before you", "session_id": 12175, "sequence_id": 862, "annotations": []}
{"role": "student", "content": "2.5.", "session_id": 12175, "sequence_id": 863, "annotations": []}
{"role": "student", "content": "fact.", "session_id": 12175, "sequence_id": 864, "annotations": []}
{"role": "student", "content": "I'm gonna, I'm gonna rotate it myself.", "session_id": 12175, "sequence_id": 865, "annotations": []}
{"role": "student", "content": "Oh", "session_id": 12175, "sequence_id": 866, "annotations": []}
{"role": "student", "content": "I like to talk", "session_id": 12175, "sequence_id": 867, "annotations": []}
{"role": "volunteer", "content": "or I could, yeah, there you go, there you go. How did, how did you do that? How do I do that?", "session_id": 12175, "sequence_id": 868, "annotations": []}
{"role": "student", "content": "You do the long press technique that I told you earlier, the thing in between where you make the really like when you push it really hard and, and the, and the screen like the, the, I'm gonna draw it for you. When this like.", "session_id": 12175, "sequence_id": 869, "annotations": []}
{"role": "student", "content": "yeah.", "session_id": 12175, "sequence_id": 870, "annotations": []}
{"role": "student", "content": "when the", "session_id": 12175, "sequence_id": 871, "annotations": []}
{"role": "volunteer", "content": "OK, I see it now. I can do it. All right, I got it. I got it. Trust it, you press it hard.", "session_id": 12175, "sequence_id": 872, "annotations": []}
{"role": "student", "content": "uh basically becomes like when it becomes like a grab handle thing like a glove.", "session_id": 12175, "sequence_id": 873, "annotations": []}
{"role": "student", "content": "that", "session_id": 12175, "sequence_id": 874, "annotations": []}
{"role": "volunteer", "content": "Yeah, I just like Photoshop.", "session_id": 12175, "sequence_id": 875, "annotations": []}
{"role": "student", "content": "' s when you learn how to rotate it.", "session_id": 12175, "sequence_id": 876, "annotations": []}
{"role": "student", "content": "Oh, also, I also, I've been on this app for like for like once for like a semester already here.", "session_id": 12175, "sequence_id": 877, "annotations": []}
{"role": "student", "content": "I really needed free tutoring.", "session_id": 12175, "sequence_id": 878, "annotations": []}
{"role": "student", "content": "Yes, I'll, I'll continue out to then.", "session_id": 12175, "sequence_id": 879, "annotations": []}
{"role": "volunteer", "content": "OK, can you keep rotating that for me. That will just, let me talk about, I'll talk about the answer and then I'm gonna sign off here.", "session_id": 12175, "sequence_id": 880, "annotations": []}
{"role": "student", "content": "OK, I'll continue roating this, um", "session_id": 12175, "sequence_id": 881, "annotations": []}
{"role": "student", "content": "OK", "session_id": 12175, "sequence_id": 882, "annotations": []}
{"role": "student", "content": "that.", "session_id": 12175, "sequence_id": 883, "annotations": []}
{"role": "volunteer", "content": "So if you do a long press, you get new options is what you're saying.", "session_id": 12175, "sequence_id": 884, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 12175, "sequence_id": 885, "annotations": []}
{"role": "student", "content": "Wait", "session_id": 12175, "sequence_id": 886, "annotations": []}
{"role": "student", "content": "OK, I found the green locator me", "session_id": 12175, "sequence_id": 887, "annotations": []}
{"role": "student", "content": "That's right. I got it. Here", "session_id": 12175, "sequence_id": 888, "annotations": []}
{"role": "student", "content": "I, oh my god.", "session_id": 12175, "sequence_id": 889, "annotations": []}
{"role": "student", "content": "I got it. I actually got it", "session_id": 12175, "sequence_id": 890, "annotations": []}
{"role": "student", "content": "Can you see it now?", "session_id": 12175, "sequence_id": 891, "annotations": []}
{"role": "volunteer", "content": "I don't know. Let me try out.", "session_id": 12175, "sequence_id": 892, "annotations": []}
{"role": "student", "content": "I, I rotated it already.", "session_id": 12175, "sequence_id": 893, "annotations": []}
{"role": "volunteer", "content": "I, I, I can't see it.", "session_id": 12175, "sequence_id": 894, "annotations": []}
{"role": "volunteer", "content": "I can't sit.", "session_id": 12175, "sequence_id": 895, "annotations": []}
{"role": "volunteer", "content": "I, you, you're looking at a different", "session_id": 12175, "sequence_id": 896, "annotations": []}
{"role": "volunteer", "content": "spot than me. I don't know. I, I can't see what you're seeing.", "session_id": 12175, "sequence_id": 897, "annotations": []}
{"role": "student", "content": "Oh, try scrolling down. We find you.", "session_id": 12175, "sequence_id": 898, "annotations": []}
{"role": "volunteer", "content": "OK, home messages, uh.", "session_id": 12175, "sequence_id": 899, "annotations": []}
{"role": "student", "content": "I you.", "session_id": 12175, "sequence_id": 900, "annotations": []}
{"role": "volunteer", "content": "all right", "session_id": 12175, "sequence_id": 901, "annotations": []}
{"role": "student", "content": "OK", "session_id": 12175, "sequence_id": 902, "annotations": []}
{"role": "volunteer", "content": "OK, well, if you can see it, if you can see it, I, I know what I put on there. So let me just talk to it, OK?", "session_id": 12175, "sequence_id": 903, "annotations": []}
{"role": "student", "content": "OK, OK.", "session_id": 12175, "sequence_id": 904, "annotations": []}
{"role": "student", "content": "Mm", "session_id": 12175, "sequence_id": 905, "annotations": []}
{"role": "student", "content": "Mm", "session_id": 12175, "sequence_id": 906, "annotations": []}
{"role": "volunteer", "content": "OK, so you see what I, what, what is, what is this picture? What is this graph? What is the graph represent?", "session_id": 12175, "sequence_id": 907, "annotations": []}
{"role": "student", "content": "The graph is being represented by like, uh, it's, it's basically like a half W, the best, the best way I can describe is like a house.", "session_id": 12175, "sequence_id": 908, "annotations": []}
{"role": "volunteer", "content": "Yeah, it's a, it's a, it's a polynomial of 3rd degree, OK? It's VFX. I've just grabbed the the YX is is Y(X).", "session_id": 12175, "sequence_id": 909, "annotations": []}
{"role": "volunteer", "content": "OK. It's the volume as a function of X.", "session_id": 12175, "sequence_id": 910, "annotations": []}
{"role": "volunteer", "content": "All right", "session_id": 12175, "sequence_id": 911, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 12175, "sequence_id": 912, "annotations": []}
{"role": "volunteer", "content": "Now notice we found the 30s. You see the 30s of VFX.", "session_id": 12175, "sequence_id": 913, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 12175, "sequence_id": 914, "annotations": []}
{"role": "volunteer", "content": "They're at 0, they're at X equal to 0, X equal to 6.5 and X equal to 7.", "session_id": 12175, "sequence_id": 915, "annotations": []}
{"role": "student", "content": "Yeah, I can see it.", "session_id": 12175, "sequence_id": 916, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 12175, "sequence_id": 917, "annotations": []}
{"role": "student", "content": "2.5 6.57.", "session_id": 12175, "sequence_id": 918, "annotations": []}
{"role": "student", "content": "It just runs a couple of you.", "session_id": 12175, "sequence_id": 919, "annotations": []}
{"role": "volunteer", "content": "Yeah, this doesn't", "session_id": 12175, "sequence_id": 920, "annotations": []}
{"role": "student", "content": "It forms adult from that I've seen.", "session_id": 12175, "sequence_id": 921, "annotations": []}
{"role": "student", "content": "it basically forms a duct.", "session_id": 12175, "sequence_id": 922, "annotations": []}
{"role": "volunteer", "content": "4.5 minus", "session_id": 12175, "sequence_id": 923, "annotations": []}
{"role": "student", "content": "W", "session_id": 12175, "sequence_id": 924, "annotations": []}
{"role": "volunteer", "content": "OK, then, OK, so then,", "session_id": 12175, "sequence_id": 925, "annotations": []}
{"role": "volunteer", "content": "uh those are the three 0s. Now, notice what 2.25 is where we took the derivative and we found out where the maximum was.", "session_id": 12175, "sequence_id": 926, "annotations": []}
{"role": "student", "content": "Yes, that's like the turning point where it rises.", "session_id": 12175, "sequence_id": 927, "annotations": []}
{"role": "volunteer", "content": "Right, and you", "session_id": 12175, "sequence_id": 928, "annotations": []}
{"role": "volunteer", "content": "and when you", "session_id": 12175, "sequence_id": 929, "annotations": []}
{"role": "student", "content": "this, it basically rises because if it's even if it rises. So we have like", "session_id": 12175, "sequence_id": 930, "annotations": []}
{"role": "volunteer", "content": "and when you plugged in", "session_id": 12175, "sequence_id": 931, "annotations": []}
{"role": "student", "content": "uh like a table for that.", "session_id": 12175, "sequence_id": 932, "annotations": []}
{"role": "volunteer", "content": "when you plugged in 2.25", "session_id": 12175, "sequence_id": 933, "annotations": []}
{"role": "volunteer", "content": "to that polynomial. You said it was is that. I'll, I'll give you a number. Let me just finish, I'll do this, I'll check your number a little bit here.", "session_id": 12175, "sequence_id": 934, "annotations": []}
{"role": "volunteer", "content": "I don't really like 2.25, but I'm gonna", "session_id": 12175, "sequence_id": 935, "annotations": []}
{"role": "volunteer", "content": "let's see, let me pull my calculator up", "session_id": 12175, "sequence_id": 936, "annotations": []}
{"role": "volunteer", "content": "OK, 2.54", "session_id": 12175, "sequence_id": 937, "annotations": []}
{"role": "volunteer", "content": "I'm gonna put another decimal point on it that I want to do", "session_id": 12175, "sequence_id": 938, "annotations": []}
{"role": "volunteer", "content": "I wanna", "session_id": 12175, "sequence_id": 939, "annotations": []}
{"role": "volunteer", "content": "X to the 3.", "session_id": 12175, "sequence_id": 940, "annotations": []}
{"role": "volunteer", "content": "OK.", "session_id": 12175, "sequence_id": 941, "annotations": []}
{"role": "volunteer", "content": "OK, minus 54 times.", "session_id": 12175, "sequence_id": 942, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 12175, "sequence_id": 943, "annotations": []}
{"role": "volunteer", "content": "2.254 squared.", "session_id": 12175, "sequence_id": 944, "annotations": []}
{"role": "volunteer", "content": "plus 82 times", "session_id": 12175, "sequence_id": 945, "annotations": []}
{"role": "volunteer", "content": "2.25.", "session_id": 12175, "sequence_id": 946, "annotations": []}
{"role": "volunteer", "content": "4", "session_id": 12175, "sequence_id": 947, "annotations": []}
{"role": "student", "content": "Oh we her a message AC.", "session_id": 12175, "sequence_id": 948, "annotations": []}
{"role": "volunteer", "content": "Uh", "session_id": 12175, "sequence_id": 949, "annotations": []}
{"role": "student", "content": "Oh", "session_id": 12175, "sequence_id": 950, "annotations": []}
{"role": "student", "content": "Oh, I, I'm starting to get it now", "session_id": 12175, "sequence_id": 951, "annotations": []}
{"role": "student", "content": "I pray for protection.", "session_id": 12175, "sequence_id": 952, "annotations": []}
{"role": "student", "content": "The calamities", "session_id": 12175, "sequence_id": 953, "annotations": []}
{"role": "student", "content": "right", "session_id": 12175, "sequence_id": 954, "annotations": []}
{"role": "volunteer", "content": "Is it m-54 or is it + 54", "session_id": 12175, "sequence_id": 955, "annotations": []}
{"role": "volunteer", "content": "It's minus 54.", "session_id": 12175, "sequence_id": 956, "annotations": []}
{"role": "student", "content": "Yeah, signs 53", "session_id": 12175, "sequence_id": 957, "annotations": []}
{"role": "volunteer", "content": "Yeah, I'm getting", "session_id": 12175, "sequence_id": 958, "annotations": []}
{"role": "volunteer", "content": "oh, wait a minute", "session_id": 12175, "sequence_id": 959, "annotations": []}
{"role": "student", "content": "I", "session_id": 12175, "sequence_id": 960, "annotations": []}
{"role": "student", "content": "I'm looking and.", "session_id": 12175, "sequence_id": 961, "annotations": []}
{"role": "student", "content": "pass on the person.", "session_id": 12175, "sequence_id": 962, "annotations": []}
{"role": "student", "content": "was", "session_id": 12175, "sequence_id": 963, "annotations": []}
{"role": "student", "content": "both", "session_id": 12175, "sequence_id": 964, "annotations": []}
{"role": "student", "content": "huh", "session_id": 12175, "sequence_id": 965, "annotations": []}
{"role": "student", "content": "Oh", "session_id": 12175, "sequence_id": 966, "annotations": []}
{"role": "student", "content": "send you.", "session_id": 12175, "sequence_id": 967, "annotations": []}
{"role": "student", "content": "I'm just looking at my Google Classroom. There's spanning something one,", "session_id": 12175, "sequence_id": 968, "annotations": []}
{"role": "student", "content": "if you", "session_id": 12175, "sequence_id": 969, "annotations": []}
{"role": "student", "content": "what is this project?", "session_id": 12175, "sequence_id": 970, "annotations": []}
{"role": "student", "content": "me to", "session_id": 12175, "sequence_id": 971, "annotations": []}
{"role": "student", "content": "this, did you meet a table up and I'll do it myself.", "session_id": 12175, "sequence_id": 972, "annotations": []}
{"role": "student", "content": "I'll do it myself. OK. Can you please continue doing I know", "session_id": 12175, "sequence_id": 973, "annotations": []}
{"role": "student", "content": "the math", "session_id": 12175, "sequence_id": 974, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 12175, "sequence_id": 975, "annotations": []}
{"role": "volunteer", "content": "Anyway, so that's the um", "session_id": 12175, "sequence_id": 976, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 12175, "sequence_id": 977, "annotations": []}
{"role": "volunteer", "content": "I am not quite", "session_id": 12175, "sequence_id": 978, "annotations": []}
{"role": "volunteer", "content": "I'm not quite getting", "session_id": 12175, "sequence_id": 979, "annotations": []}
{"role": "volunteer", "content": "I put in", "session_id": 12175, "sequence_id": 980, "annotations": []}
{"role": "volunteer", "content": "one.", "session_id": 12175, "sequence_id": 981, "annotations": []}
{"role": "student", "content": "I called.", "session_id": 12175, "sequence_id": 982, "annotations": []}
{"role": "volunteer", "content": "Mm.", "session_id": 12175, "sequence_id": 983, "annotations": []}
{"role": "student", "content": "3", "session_id": 12175, "sequence_id": 984, "annotations": []}
{"role": "student", "content": "1234.", "session_id": 12175, "sequence_id": 985, "annotations": []}
{"role": "student", "content": "There is no pa.", "session_id": 12175, "sequence_id": 986, "annotations": []}
{"role": "student", "content": "What the", "session_id": 12175, "sequence_id": 987, "annotations": []}
{"role": "student", "content": "hell.", "session_id": 12175, "sequence_id": 988, "annotations": []}
{"role": "student", "content": "You guysration. Can you continue, like what were you talking about you would", "session_id": 12175, "sequence_id": 989, "annotations": []}
{"role": "volunteer", "content": "Yeah, yeah, I'm just trying to, I'm trying to check your, at 2.25, what did you get it should be?", "session_id": 12175, "sequence_id": 990, "annotations": []}
{"role": "student", "content": "uh 2.25 for me, like what I mentioned earlier, wait, let me go up. It was negative", "session_id": 12175, "sequence_id": 991, "annotations": []}
{"role": "student", "content": "1.08 and the other one k.", "session_id": 12175, "sequence_id": 992, "annotations": []}
{"role": "volunteer", "content": "So you 0.5", "session_id": 12175, "sequence_id": 993, "annotations": []}
{"role": "student", "content": "For 2.5, it 1.5.", "session_id": 12175, "sequence_id": 994, "annotations": []}
{"role": "volunteer", "content": "Yeah, it's like my graph is wrong.", "session_id": 12175, "sequence_id": 995, "annotations": []}
{"role": "volunteer", "content": "Um", "session_id": 12175, "sequence_id": 996, "annotations": []}
{"role": "student", "content": "C", "session_id": 12175, "sequence_id": 997, "annotations": []}
{"role": "student", "content": "see.", "session_id": 12175, "sequence_id": 998, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 12175, "sequence_id": 999, "annotations": []}
{"role": "student", "content": "it's not correct. Uh.", "session_id": 12175, "sequence_id": 1000, "annotations": []}
{"role": "volunteer", "content": "yeah, some, something seems wrong.", "session_id": 12175, "sequence_id": 1001, "annotations": []}
{"role": "student", "content": "Good, good today", "session_id": 12175, "sequence_id": 1002, "annotations": []}
{"role": "volunteer", "content": "Do you have the answer", "session_id": 12175, "sequence_id": 1003, "annotations": []}
{"role": "student", "content": "I'm weird", "session_id": 12175, "sequence_id": 1004, "annotations": []}
{"role": "student", "content": "huh", "session_id": 12175, "sequence_id": 1005, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 12175, "sequence_id": 1006, "annotations": []}
{"role": "student", "content": "I am for, for, uh", "session_id": 12175, "sequence_id": 1007, "annotations": []}
{"role": "student", "content": "2.5, it was 181 and 6.75 was -1.6.", "session_id": 12175, "sequence_id": 1008, "annotations": []}
{"role": "volunteer", "content": "Yeah, that, that would be, that sounds right, but I'm not able, are you", "session_id": 12175, "sequence_id": 1009, "annotations": []}
{"role": "volunteer", "content": "am I plugging into the wrong formula here? What do I got? Is that 4X", "session_id": 12175, "sequence_id": 1010, "annotations": []}
{"role": "volunteer", "content": "What's V of X? Let's make sure I got that right.", "session_id": 12175, "sequence_id": 1011, "annotations": []}
{"role": "student", "content": "OK", "session_id": 12175, "sequence_id": 1012, "annotations": []}
{"role": "volunteer", "content": "Is it 4 x cubed?", "session_id": 12175, "sequence_id": 1013, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 12175, "sequence_id": 1014, "annotations": []}
{"role": "student", "content": "The VLX like the formula that we bought.", "session_id": 12175, "sequence_id": 1015, "annotations": []}
{"role": "volunteer", "content": "Yeah, OK, it's the same, yeah. I don't know why, um", "session_id": 12175, "sequence_id": 1016, "annotations": []}
{"role": "volunteer", "content": "2", "session_id": 12175, "sequence_id": 1017, "annotations": []}
{"role": "student", "content": "OK, it's the same, let's go. OK, so what we can do is that we just grab it.", "session_id": 12175, "sequence_id": 1018, "annotations": []}
{"role": "student", "content": "Since it's a 10", "session_id": 12175, "sequence_id": 1019, "annotations": []}
{"role": "volunteer", "content": "Yeah, I did, I did draft it for you.", "session_id": 12175, "sequence_id": 1020, "annotations": []}
{"role": "volunteer", "content": "That should be right.", "session_id": 12175, "sequence_id": 1021, "annotations": []}
{"role": "student", "content": "but there's a missing 108", "session_id": 12175, "sequence_id": 1022, "annotations": []}
{"role": "student", "content": "Wait, what am I gonna wanna wait.", "session_id": 12175, "sequence_id": 1023, "annotations": []}
{"role": "volunteer", "content": "Do you have a graphing calculator?", "session_id": 12175, "sequence_id": 1024, "annotations": []}
{"role": "student", "content": "I unfortunately do not. I just have the regular caso the, the 9 ADS, the FX 9 ADS. I don't.", "session_id": 12175, "sequence_id": 1025, "annotations": []}
{"role": "volunteer", "content": "Uh, if you're doing, if you're doing AP calculus, are you doing AP calculus? Is that what you said?", "session_id": 12175, "sequence_id": 1026, "annotations": []}
{"role": "student", "content": "Yeah, I'm doing APL.", "session_id": 12175, "sequence_id": 1027, "annotations": []}
{"role": "volunteer", "content": "Well then you probably need the uh graphing calculator, don't you?", "session_id": 12175, "sequence_id": 1028, "annotations": []}
{"role": "student", "content": "We, we just, we actually just", "session_id": 12175, "sequence_id": 1029, "annotations": []}
{"role": "student", "content": "started and", "session_id": 12175, "sequence_id": 1030, "annotations": []}
{"role": "student", "content": "I'm not really started, but this is my first time and like I actually did have a graphing calculator, but", "session_id": 12175, "sequence_id": 1031, "annotations": []}
{"role": "student", "content": "I left it at school and I only have my backup calculator with me, the SCO one. But yeah, I will make, I will get my other girl. I'll get my other graphing calculators, so we can check for this. In the meantime, since there is online graphing calculators.", "session_id": 12175, "sequence_id": 1032, "annotations": []}
{"role": "student", "content": "Sarah, yeah, there's a that was all my calculator. Let's see, let's see what we can do with this.", "session_id": 12175, "sequence_id": 1033, "annotations": [{"pii_type": "PERSON", "surrogate": "Sarah", "start": 0, "end": 5}]}
{"role": "volunteer", "content": "Yeah, online graphing calculator. Good idea, good idea. Very good idea.", "session_id": 12175, "sequence_id": 1034, "annotations": []}
{"role": "student", "content": "For X-rays at 53.", "session_id": 12175, "sequence_id": 1035, "annotations": []}
{"role": "volunteer", "content": "Because I'm", "session_id": 12175, "sequence_id": 1036, "annotations": []}
{"role": "student", "content": "94 and then they X-ray the power of 2.", "session_id": 12175, "sequence_id": 1037, "annotations": []}
{"role": "student", "content": "and there we get a negative, oh my God.", "session_id": 12175, "sequence_id": 1038, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 12175, "sequence_id": 1039, "annotations": []}
{"role": "student", "content": "see", "session_id": 12175, "sequence_id": 1040, "annotations": []}
{"role": "volunteer", "content": "I'm just, so when I plug into my calculator, I'm just not getting. My my uh", "session_id": 12175, "sequence_id": 1041, "annotations": []}
{"role": "student", "content": "Oh, that's so cool. I'm right. It reached out.", "session_id": 12175, "sequence_id": 1042, "annotations": []}
{"role": "student", "content": "It's 30", "session_id": 12175, "sequence_id": 1043, "annotations": []}
{"role": "student", "content": "3", "session_id": 12175, "sequence_id": 1044, "annotations": []}
{"role": "student", "content": "I wait", "session_id": 12175, "sequence_id": 1045, "annotations": []}
{"role": "student", "content": "wait", "session_id": 12175, "sequence_id": 1046, "annotations": []}
{"role": "student", "content": "I mean is the right formula or my speaking. Oh my God, you use 0, you use the wrong, uh no, you use the wrong formula for the graph. It's not 82, it's 182.", "session_id": 12175, "sequence_id": 1047, "annotations": []}
{"role": "volunteer", "content": "Oh, it's 182.", "session_id": 12175, "sequence_id": 1048, "annotations": []}
{"role": "student", "content": "Ah,", "session_id": 12175, "sequence_id": 1049, "annotations": []}
{"role": "volunteer", "content": "Oops", "session_id": 12175, "sequence_id": 1050, "annotations": []}
{"role": "student", "content": "Ah, it's, it's like a house shape", "session_id": 12175, "sequence_id": 1051, "annotations": []}
{"role": "student", "content": "I", "session_id": 12175, "sequence_id": 1052, "annotations": []}
{"role": "student", "content": "from using things that you might understand.", "session_id": 12175, "sequence_id": 1053, "annotations": []}
{"role": "volunteer", "content": "OK, it's 182. OK, that, that's probably that's why my numbers were wrong, right. So change my pic", "session_id": 12175, "sequence_id": 1054, "annotations": []}
{"role": "student", "content": "Also think", "session_id": 12175, "sequence_id": 1055, "annotations": []}
{"role": "volunteer", "content": "Everything else about the graph is right except the coefficient.", "session_id": 12175, "sequence_id": 1056, "annotations": []}
{"role": "volunteer", "content": "So if you put in 4 X.", "session_id": 12175, "sequence_id": 1057, "annotations": []}
{"role": "student", "content": "yeah, it's one, it's that so", "session_id": 12175, "sequence_id": 1058, "annotations": []}
{"role": "student", "content": "cool.", "session_id": 12175, "sequence_id": 1059, "annotations": []}
{"role": "student", "content": "It was very 2.24 181, which is really, oh wait, what did I, what did I write? Wait, I made a mistake, but this is somethingsomethingmething, so which means that I was really close, so at least we can round up the 1 to the 0 and we.", "session_id": 12175, "sequence_id": 1060, "annotations": []}
{"role": "volunteer", "content": "Well, remember, remember, you didn't have the, their, the actual 0 is like 2.254.", "session_id": 12175, "sequence_id": 1061, "annotations": []}
{"role": "student", "content": "huh", "session_id": 12175, "sequence_id": 1062, "annotations": []}
{"role": "volunteer", "content": "So", "session_id": 12175, "sequence_id": 1063, "annotations": []}
{"role": "student", "content": "2.254. 0 yeah, it is, it is.", "session_id": 12175, "sequence_id": 1064, "annotations": []}
{"role": "volunteer", "content": "yeah, yeah, you gotta go back to the quadratic. It wasn't exactly 2.5.", "session_id": 12175, "sequence_id": 1065, "annotations": []}
{"role": "volunteer", "content": "2. It was, it was 2.254, not 2.25, you know, it was a.", "session_id": 12175, "sequence_id": 1066, "annotations": []}
{"role": "student", "content": "Yeah, I'm sorry. Yeah, but at least the difference is that", "session_id": 12175, "sequence_id": 1067, "annotations": []}
{"role": "student", "content": "oh, yeah, it that doesn't excuse it. 2, but like", "session_id": 12175, "sequence_id": 1068, "annotations": []}
{"role": "student", "content": "it still is this", "session_id": 12175, "sequence_id": 1069, "annotations": []}
{"role": "student", "content": "actually", "session_id": 12175, "sequence_id": 1070, "annotations": []}
{"role": "student", "content": "I was mistaken. 180", "session_id": 12175, "sequence_id": 1071, "annotations": []}
{"role": "student", "content": "181, 2.25", "session_id": 12175, "sequence_id": 1072, "annotations": []}
{"role": "student", "content": "2.", "session_id": 12175, "sequence_id": 1073, "annotations": []}
{"role": "student", "content": "the decimals actually had", "session_id": 12175, "sequence_id": 1074, "annotations": []}
{"role": "student", "content": "2.245. It's reversed like, let me check. OK.", "session_id": 12175, "sequence_id": 1075, "annotations": []}
{"role": "volunteer", "content": "I", "session_id": 12175, "sequence_id": 1076, "annotations": []}
{"role": "volunteer", "content": "uh.", "session_id": 12175, "sequence_id": 1077, "annotations": []}
{"role": "student", "content": "108.", "session_id": 12175, "sequence_id": 1078, "annotations": []}
{"role": "volunteer", "content": "Oh", "session_id": 12175, "sequence_id": 1079, "annotations": []}
{"role": "student", "content": "what this my nose? what?.", "session_id": 12175, "sequence_id": 1080, "annotations": []}
{"role": "student", "content": "don't, don't know the area. I know", "session_id": 12175, "sequence_id": 1081, "annotations": []}
{"role": "student", "content": "so he always 24.", "session_id": 12175, "sequence_id": 1082, "annotations": []}
{"role": "student", "content": "So, uh, 2.2. 0, we rigged it wrong. Oh my god, they did it wrong.", "session_id": 12175, "sequence_id": 1083, "annotations": []}
{"role": "volunteer", "content": "No, we didn't", "session_id": 12175, "sequence_id": 1084, "annotations": []}
{"role": "student", "content": "Oh.", "session_id": 12175, "sequence_id": 1085, "annotations": []}
{"role": "volunteer", "content": "I think", "session_id": 12175, "sequence_id": 1086, "annotations": []}
{"role": "student", "content": "I'm so blind.", "session_id": 12175, "sequence_id": 1087, "annotations": []}
{"role": "volunteer", "content": "I think uh you got pretty good answer. What's, what's the problem?", "session_id": 12175, "sequence_id": 1088, "annotations": []}
{"role": "student", "content": "OK, we actually did it, oh my god, we did", "session_id": 12175, "sequence_id": 1089, "annotations": []}
{"role": "student", "content": "it, OK, I'm free. Thank you.", "session_id": 12175, "sequence_id": 1090, "annotations": []}
{"role": "student", "content": "Thank you", "session_id": 12175, "sequence_id": 1091, "annotations": []}
{"role": "volunteer", "content": "Yeah, you got the right answer. That's right. The only thing, if you look at my my picture, um,", "session_id": 12175, "sequence_id": 1092, "annotations": []}
{"role": "student", "content": "Yeah.", "session_id": 12175, "sequence_id": 1093, "annotations": []}
{"role": "volunteer", "content": "it should not be 82. See, I was trying to plug into my", "session_id": 12175, "sequence_id": 1094, "annotations": []}
{"role": "volunteer", "content": "equation that was wrong. It Pre-Calculus. I didn't, I didn't copy the one, OK, because I can't really everything's, I can't really see stuff. It's hard to see.", "session_id": 12175, "sequence_id": 1095, "annotations": []}
{"role": "student", "content": "Mm", "session_id": 12175, "sequence_id": 1096, "annotations": []}
{"role": "volunteer", "content": "But you got all the, you, you understand what we did there.", "session_id": 12175, "sequence_id": 1097, "annotations": []}
{"role": "student", "content": "Yeah. Oh my God. I hope I can favorite you as a teacher so that we have more probabilities of meeting again cause this is our final project, but we still hadn't had our finals yet and basically what we've covered is basically long division of polynomials for like calculus itself.", "session_id": 12175, "sequence_id": 1098, "annotations": []}
{"role": "student", "content": "for long division of polynomials. We had synthetic and then uh going closer to the graphing of the actual graph itself was actually like", "session_id": 12175, "sequence_id": 1099, "annotations": []}
{"role": "student", "content": "uh", "session_id": 12175, "sequence_id": 1100, "annotations": []}
{"role": "student", "content": "uh finding all rational routes, finding rational routes and the kind of the rational root theorem and then the last thing we did was graphing, which correlates to our final project, but actually the thing is our teacher never actually thought us about derivatives until our final project, so, uh, I just saw it on a video because we were, they just sent it as a video.", "session_id": 12175, "sequence_id": 1101, "annotations": []}
{"role": "student", "content": "They never actually thought us after to they never taught us face to face cause", "session_id": 12175, "sequence_id": 1102, "annotations": []}
{"role": "student", "content": "it", "session_id": 12175, "sequence_id": 1103, "annotations": []}
{"role": "student", "content": "Yeah.", "session_id": 12175, "sequence_id": 1104, "annotations": []}
{"role": "volunteer", "content": "Uh, so you never, you never learned the product rule. Yeah, you need to learn, you need to, in order to take derivatives, there's a whole bunch of rules you gotta learn, so", "session_id": 12175, "sequence_id": 1105, "annotations": []}
{"role": "student", "content": "Oh", "session_id": 12175, "sequence_id": 1106, "annotations": []}
{"role": "student", "content": "she", "session_id": 12175, "sequence_id": 1107, "annotations": []}
{"role": "volunteer", "content": "But anyway, let me just remind, yeah, so I just gave you, that was a simplest derivative rule was the one I gave you. The, that was called the Power world.", "session_id": 12175, "sequence_id": 1108, "annotations": []}
{"role": "student", "content": "Oh, yeah, that's easier.", "session_id": 12175, "sequence_id": 1109, "annotations": []}
{"role": "student", "content": "Yes.", "session_id": 12175, "sequence_id": 1110, "annotations": []}
{"role": "student", "content": "Very good. OK.", "session_id": 12175, "sequence_id": 1111, "annotations": []}
{"role": "volunteer", "content": "Now, so what did we find out? What, what, what, uh, if you wanna maximize the volume in the box.", "session_id": 12175, "sequence_id": 1112, "annotations": []}
{"role": "volunteer", "content": "What do you", "session_id": 12175, "sequence_id": 1113, "annotations": []}
{"role": "student", "content": "What? OK, you wanna maximize the volume in the box.", "session_id": 12175, "sequence_id": 1114, "annotations": []}
{"role": "volunteer", "content": "have", "session_id": 12175, "sequence_id": 1115, "annotations": []}
{"role": "student", "content": "Where do you find it? We, we, we, I thought we", "session_id": 12175, "sequence_id": 1116, "annotations": []}
{"role": "student", "content": "saw it", "session_id": 12175, "sequence_id": 1117, "annotations": []}
{"role": "volunteer", "content": "We did, we did, we did. I just want to know what value of X and what value of X does the box volume get maximized?", "session_id": 12175, "sequence_id": 1118, "annotations": []}
{"role": "student", "content": "Why is it turning? Wait, let me", "session_id": 12175, "sequence_id": 1119, "annotations": []}
{"role": "student", "content": "the grass", "session_id": 12175, "sequence_id": 1120, "annotations": []}
{"role": "student", "content": "the graph where the circum.", "session_id": 12175, "sequence_id": 1121, "annotations": []}
{"role": "volunteer", "content": "So I'm I'm asking you to interpret. I'm asking you to interpret what the graph means now.", "session_id": 12175, "sequence_id": 1122, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 12175, "sequence_id": 1123, "annotations": []}
{"role": "student", "content": "OK", "session_id": 12175, "sequence_id": 1124, "annotations": []}
{"role": "volunteer", "content": "You're, you're trying to remember what we're trying to do? You're making", "session_id": 12175, "sequence_id": 1125, "annotations": []}
{"role": "student", "content": "6.5, 5.", "session_id": 12175, "sequence_id": 1126, "annotations": []}
{"role": "volunteer", "content": "um", "session_id": 12175, "sequence_id": 1127, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 12175, "sequence_id": 1128, "annotations": []}
{"role": "volunteer", "content": "hold on a sec. um", "session_id": 12175, "sequence_id": 1129, "annotations": []}
{"role": "volunteer", "content": "you're trying to maximize the.", "session_id": 12175, "sequence_id": 1130, "annotations": []}
{"role": "student", "content": "Actually, I think it made kind of a mistake with", "session_id": 12175, "sequence_id": 1131, "annotations": []}
{"role": "student", "content": "108", "session_id": 12175, "sequence_id": 1132, "annotations": []}
{"role": "volunteer", "content": "No, there's no mistake. I think we got it. I just want you to understand what you did.", "session_id": 12175, "sequence_id": 1133, "annotations": []}
{"role": "student", "content": "2 divided by 24.", "session_id": 12175, "sequence_id": 1134, "annotations": []}
{"role": "student", "content": "6.7", "session_id": 12175, "sequence_id": 1135, "annotations": []}
{"role": "student", "content": "No", "session_id": 12175, "sequence_id": 1136, "annotations": []}
{"role": "volunteer", "content": "Now, you see the graph.", "session_id": 12175, "sequence_id": 1137, "annotations": []}
{"role": "student", "content": "Oh wait", "session_id": 12175, "sequence_id": 1138, "annotations": []}
{"role": "student", "content": "wait, 6.6.7.", "session_id": 12175, "sequence_id": 1139, "annotations": []}
{"role": "student", "content": "6.75. 0 yeah, 108. I was right. I, I mean one.", "session_id": 12175, "sequence_id": 1140, "annotations": []}
{"role": "student", "content": "I probably wrote this 1 1.68 but then I thought the 6 was a 00 my god, I guess.", "session_id": 12175, "sequence_id": 1141, "annotations": []}
{"role": "student", "content": "up.", "session_id": 12175, "sequence_id": 1142, "annotations": []}
{"role": "volunteer", "content": "A uh Uh *****, I got a", "session_id": 12175, "sequence_id": 1143, "annotations": [{"pii_type": "NRP", "surrogate": "Uh", "start": 5, "end": 7}]}
{"role": "student", "content": "Yeah", "session_id": 12175, "sequence_id": 1144, "annotations": []}
{"role": "volunteer", "content": "I gotta go here. I just, my last thing was uh", "session_id": 12175, "sequence_id": 1145, "annotations": []}
{"role": "student", "content": "Thank you so much for this though.", "session_id": 12175, "sequence_id": 1146, "annotations": []}
{"role": "volunteer", "content": "um, listen, if you look at the graph, you see how the, the graph is at its maximum at what when X is equal to 2.54.", "session_id": 12175, "sequence_id": 1147, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 12175, "sequence_id": 1148, "annotations": []}
{"role": "volunteer", "content": "So when, when X, when you make a fold in the box of access 2.254 inches.", "session_id": 12175, "sequence_id": 1149, "annotations": []}
{"role": "student", "content": "Oh, she, she.", "session_id": 12175, "sequence_id": 1150, "annotations": []}
{"role": "volunteer", "content": "You, you're actually maximizing the volume of the box.", "session_id": 12175, "sequence_id": 1151, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 12175, "sequence_id": 1152, "annotations": []}
{"role": "student", "content": "Oh, OK. Oh, OK. Thank you so much for this and for", "session_id": 12175, "sequence_id": 1153, "annotations": []}
{"role": "volunteer", "content": "OK. All right. Have a good day. Have a good day.", "session_id": 12175, "sequence_id": 1154, "annotations": []}
{"role": "volunteer", "content": "Bye-bye", "session_id": 12175, "sequence_id": 1155, "annotations": []}
{"role": "student", "content": "Thank you. Have a good day too. OK. Bye-bye.", "session_id": 12175, "sequence_id": 1156, "annotations": []}
{"role": "volunteer", "content": "Hello How are you?", "session_id": 12649, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "I am doing fine, thanks", "session_id": 12649, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "How can I help?", "session_id": 12649, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "I need help with unit 1.5 Of precalc sort of confused", "session_id": 12649, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "I do no tknow th eunit numbers but I can help", "session_id": 12649, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "Alright, the unit is polynomials", "session_id": 12649, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 12649, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "could I send you a photo? would that help?", "session_id": 12649, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "Do u have specifci questions?", "session_id": 12649, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "Yes", "session_id": 12649, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "How do I do that", "session_id": 12649, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "OK You should see an icon that", "session_id": 12649, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "looks like a mountain and a sun with an up arrow", "session_id": 12649, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "Ah got it, thanks", "session_id": 12649, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 12649, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "OK I see", "session_id": 12649, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "it", "session_id": 12649, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "Great!", "session_id": 12649, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "I will copy to 2nd sreen pls wait", "session_id": 12649, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "got it", "session_id": 12649, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "OK What questions can I hep with?", "session_id": 12649, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "1)a", "session_id": 12649, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 12649, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "I just dont undertand the concept", "session_id": 12649, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "understand", "session_id": 12649, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "do u know the deifntions for even odd and \"none\"?", "session_id": 12649, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "for Alex", "session_id": 12649, "sequence_id": 26, "annotations": [{"pii_type": "PERSON", "surrogate": "Alex", "start": 4, "end": 8}]}
{"role": "student", "content": "Yeah if f(-x)=-f(x) it is odd if it f(-x)=f(x) it is even I forgot how to input that", "session_id": 12649, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "OK good", "session_id": 12649, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "Now look at 1 a)", "session_id": 12649, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "if you replace x by -x then what happens?", "session_id": 12649, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "you would multiply it by the fourth power and it would become even?", "session_id": 12649, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "sorry", "session_id": 12649, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "postive", "session_id": 12649, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "OK yes", "session_id": 12649, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "let us nack up", "session_id": 12649, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "1 a) has only even powers do u agree?", "session_id": 12649, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "Yeah, because when you input the negative the outcome is positive?", "session_id": 12649, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "Yes", "session_id": 12649, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "for example 3^2 = 9 and so does (-3)^2", "session_id": 12649, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 12649, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "And that works for all the terms in 1 a) I guess we could write the 5 as 5*x^0", "session_id": 12649, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "OK?", "session_id": 12649, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "yes", "session_id": 12649, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "Also IF you grpah the function", "session_id": 12649, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "it whould have a \"mirror image\" across the y axis", "session_id": 12649, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "Oh. That makes sense", "session_id": 12649, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "Now in 1 b)", "session_id": 12649, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "the powers 3 and 1 are odd BUT I think the  -1 means we have \"none\"", "session_id": 12649, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "or \"neither\"", "session_id": 12649, "sequence_id": 49, "annotations": []}
{"role": "student", "content": "well why would it be none", "session_id": 12649, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "OK I will check but here is what I think", "session_id": 12649, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "for x^3 id we change to -x we change the sign do u garee?", "session_id": 12649, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "if*", "session_id": 12649, "sequence_id": 53, "annotations": []}
{"role": "student", "content": "yes", "session_id": 12649, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "and for x^1 also but I htink we can think of the -1 as -1*x^0", "session_id": 12649, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "and that does not change see what I mean?", "session_id": 12649, "sequence_id": 56, "annotations": []}
{"role": "student", "content": "Oh yeah I can sort of undertand that", "session_id": 12649, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "OK good", "session_id": 12649, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "do you use Sarah and/or a habdheld cacluator gor grpahing?", "session_id": 12649, "sequence_id": 59, "annotations": [{"pii_type": "PERSON", "surrogate": "Sarah", "start": 11, "end": 16}]}
{"role": "volunteer", "content": "handheld*", "session_id": 12649, "sequence_id": 60, "annotations": []}
{"role": "student", "content": "I dont have a graphing calc, I do have demos tho", "session_id": 12649, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "OK well after we are done try grpahing 1b) and then remove the -1 and grpah it agian", "session_id": 12649, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "I have onle 15 more minutes,", "session_id": 12649, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "so do that later OK?", "session_id": 12649, "sequence_id": 64, "annotations": []}
{"role": "student", "content": "Ok", "session_id": 12649, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "now in 1 c) we have a grpah", "session_id": 12649, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "Is there also an equation?", "session_id": 12649, "sequence_id": 67, "annotations": []}
{"role": "student", "content": "No my teacher  didnt provide one", "session_id": 12649, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "OK I see", "session_id": 12649, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "well do you notice that in 1 c)  the graph is sort of \"reflected\" thru the origin on each side of th y-axis?", "session_id": 12649, "sequence_id": 70, "annotations": []}
{"role": "student", "content": "1,-3 and, -1,3", "session_id": 12649, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "let me think", "session_id": 12649, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 12649, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "1 -> -3", "session_id": 12649, "sequence_id": 74, "annotations": []}
{"role": "volunteer", "content": "now if we change 1 to -1  -1 -> 3", "session_id": 12649, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "so f(-x) = -f(x)", "session_id": 12649, "sequence_id": 76, "annotations": []}
{"role": "student", "content": "Ohh", "session_id": 12649, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "so that type of symmetry in a grpah indicates an odd function", "session_id": 12649, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "excuse my poor typing", "session_id": 12649, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "I falied a typing class a long time becuase I was bsuy trying to take aprt the typewriter", "session_id": 12649, "sequence_id": 80, "annotations": []}
{"role": "student", "content": "No worries, I understand that, I sucked at middle school typing", "session_id": 12649, "sequence_id": 81, "annotations": [{"pii_type": "GRADE_LEVEL", "surrogate": "middle school", "start": 43, "end": 56}]}
{"role": "volunteer", "content": "OK", "session_id": 12649, "sequence_id": 82, "annotations": []}
{"role": "volunteer", "content": "Now in 1 d) I see no symmetry", "session_id": 12649, "sequence_id": 83, "annotations": []}
{"role": "volunteer", "content": "so what do u htink abotu 1 d)?", "session_id": 12649, "sequence_id": 84, "annotations": []}
{"role": "student", "content": "well there are no points that are really like inverse to each other so it cant be odd", "session_id": 12649, "sequence_id": 85, "annotations": []}
{"role": "student", "content": "and  its not exactly like similar to eachother", "session_id": 12649, "sequence_id": 86, "annotations": []}
{"role": "volunteer", "content": "I agree", "session_id": 12649, "sequence_id": 87, "annotations": []}
{"role": "student", "content": "so I doubt its even", "session_id": 12649, "sequence_id": 88, "annotations": []}
{"role": "volunteer", "content": "Yes it is neither", "session_id": 12649, "sequence_id": 89, "annotations": []}
{"role": "volunteer", "content": "and I added some confetti !", "session_id": 12649, "sequence_id": 90, "annotations": []}
{"role": "student", "content": "Lol!", "session_id": 12649, "sequence_id": 91, "annotations": []}
{"role": "volunteer", "content": "OK Now suppose we shifted the entire 1 d) grpah left by one unit (on the x -axis) what Alex think that would do?", "session_id": 12649, "sequence_id": 92, "annotations": [{"pii_type": "PERSON", "surrogate": "Alex", "start": 87, "end": 91}]}
{"role": "student", "content": "it would be symmetrical", "session_id": 12649, "sequence_id": 93, "annotations": []}
{"role": "volunteer", "content": "Yes", "session_id": 12649, "sequence_id": 94, "annotations": []}
{"role": "student", "content": "so it would be even than", "session_id": 12649, "sequence_id": 95, "annotations": []}
{"role": "student", "content": "then", "session_id": 12649, "sequence_id": 96, "annotations": []}
{"role": "volunteer", "content": "Yes I agree", "session_id": 12649, "sequence_id": 97, "annotations": []}
{"role": "student", "content": "yay", "session_id": 12649, "sequence_id": 98, "annotations": []}
{"role": "volunteer", "content": "More confetti LOL", "session_id": 12649, "sequence_id": 99, "annotations": []}
{"role": "student", "content": "Lol!", "session_id": 12649, "sequence_id": 100, "annotations": []}
{"role": "volunteer", "content": "I have about ten more minutes", "session_id": 12649, "sequence_id": 101, "annotations": []}
{"role": "student", "content": "idk if its possible but could we go over 1 more thing", "session_id": 12649, "sequence_id": 102, "annotations": []}
{"role": "volunteer", "content": "Yes", "session_id": 12649, "sequence_id": 103, "annotations": []}
{"role": "student", "content": "alright", "session_id": 12649, "sequence_id": 104, "annotations": []}
{"role": "volunteer", "content": "OK I will copy", "session_id": 12649, "sequence_id": 105, "annotations": []}
{"role": "volunteer", "content": "pls wait", "session_id": 12649, "sequence_id": 106, "annotations": []}
{"role": "student", "content": "sounds good", "session_id": 12649, "sequence_id": 107, "annotations": []}
{"role": "volunteer", "content": "Got it now I will read it", "session_id": 12649, "sequence_id": 108, "annotations": []}
{"role": "student", "content": "got it", "session_id": 12649, "sequence_id": 109, "annotations": []}
{"role": "volunteer", "content": "OK I was taught to think of domain as the entryway", "session_id": 12649, "sequence_id": 110, "annotations": []}
{"role": "volunteer", "content": "becasue it is the nubmer that can go *in* i.e. the allowed x vales", "session_id": 12649, "sequence_id": 111, "annotations": []}
{"role": "volunteer", "content": "So what do you think the domin is for this funcion?", "session_id": 12649, "sequence_id": 112, "annotations": []}
{"role": "student", "content": "so like infinity to- infinity?", "session_id": 12649, "sequence_id": 113, "annotations": []}
{"role": "volunteer", "content": "Yes I agree", "session_id": 12649, "sequence_id": 114, "annotations": []}
{"role": "volunteer", "content": "tho I would put the - first", "session_id": 12649, "sequence_id": 115, "annotations": []}
{"role": "student", "content": "ohhhh yeah", "session_id": 12649, "sequence_id": 116, "annotations": []}
{"role": "student", "content": "-infinity-inifity", "session_id": 12649, "sequence_id": 117, "annotations": []}
{"role": "student", "content": "I ment to use the one in the middle as a coma srry", "session_id": 12649, "sequence_id": 118, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 12649, "sequence_id": 119, "annotations": []}
{"role": "volunteer", "content": "I got it", "session_id": 12649, "sequence_id": 120, "annotations": []}
{"role": "volunteer", "content": "Now how about the zeros?", "session_id": 12649, "sequence_id": 121, "annotations": []}
{"role": "student", "content": "-5,-2,2", "session_id": 12649, "sequence_id": 122, "annotations": []}
{"role": "student", "content": "bcuz y is 0 there", "session_id": 12649, "sequence_id": 123, "annotations": []}
{"role": "volunteer", "content": "ok and their multiplicities?", "session_id": 12649, "sequence_id": 124, "annotations": []}
{"role": "student", "content": "I think the first 1 is 1 and 2nd is 1 and 2 is 2", "session_id": 12649, "sequence_id": 125, "annotations": []}
{"role": "student", "content": "could be wrong", "session_id": 12649, "sequence_id": 126, "annotations": []}
{"role": "volunteer", "content": "I agre with you", "session_id": 12649, "sequence_id": 127, "annotations": []}
{"role": "student", "content": "awesome", "session_id": 12649, "sequence_id": 128, "annotations": []}
{"role": "volunteer", "content": "and d)?", "session_id": 12649, "sequence_id": 129, "annotations": []}
{"role": "student", "content": "-4,-2 and 1, infiity", "session_id": 12649, "sequence_id": 130, "annotations": []}
{"role": "volunteer", "content": "I agree", "session_id": 12649, "sequence_id": 131, "annotations": []}
{"role": "volunteer", "content": "but the -4 looks like -4.1 but my eyes are not so good", "session_id": 12649, "sequence_id": 132, "annotations": []}
{"role": "volunteer", "content": "How about decreasaes?", "session_id": 12649, "sequence_id": 133, "annotations": []}
{"role": "student", "content": "oh yeah, id say -infinity ,-3.5, -2,1", "session_id": 12649, "sequence_id": 134, "annotations": []}
{"role": "volunteer", "content": "I agree", "session_id": 12649, "sequence_id": 135, "annotations": []}
{"role": "volunteer", "content": "but the 1 lloks like .9 ot my eyes", "session_id": 12649, "sequence_id": 136, "annotations": []}
{"role": "volunteer", "content": "Alas, I msut go now", "session_id": 12649, "sequence_id": 137, "annotations": []}
{"role": "student", "content": "yeah I think It is", "session_id": 12649, "sequence_id": 138, "annotations": []}
{"role": "student", "content": "aw thanks so much", "session_id": 12649, "sequence_id": 139, "annotations": []}
{"role": "volunteer", "content": "You seem to be getting this materail now", "session_id": 12649, "sequence_id": 140, "annotations": []}
{"role": "volunteer", "content": "I hope this helped", "session_id": 12649, "sequence_id": 141, "annotations": []}
{"role": "student", "content": "yeah I needed to look over it again, thanks!", "session_id": 12649, "sequence_id": 142, "annotations": []}
{"role": "volunteer", "content": "OK and try some gaphs in Sam if you have time", "session_id": 12649, "sequence_id": 143, "annotations": [{"pii_type": "PERSON", "surrogate": "Sam", "start": 25, "end": 28}]}
{"role": "student", "content": "ty i will", "session_id": 12649, "sequence_id": 144, "annotations": []}
{"role": "volunteer", "content": "OK Bye for now", "session_id": 12649, "sequence_id": 145, "annotations": []}
{"role": "student", "content": "bye!", "session_id": 12649, "sequence_id": 146, "annotations": []}
{"role": "volunteer", "content": "hello, how are you doing today?", "session_id": 12860, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "Hello, I am doing great, how are you? I have 10 questions to ask today on a doc I would like to screenshare. Is that okay?", "session_id": 12860, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "that would be fine", "session_id": 12860, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "alright, I just resized the screenshare", "session_id": 12860, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "im not allowed to use a graphing calculator so I am having a hard time with tan, sec, sin ext", "session_id": 12860, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "oh alright", "session_id": 12860, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "real quick, can you show me tan, cot, sec, and csc in forms of cosine and sine", "session_id": 12860, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "I think I gave confusing instructions", "session_id": 12860, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "for example, tanx is sinx/cosx", "session_id": 12860, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "oh", "session_id": 12860, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "thats kinda the way that I want those functions", "session_id": 12860, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "Sorry trig is confusing for me", "session_id": 12860, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "thats fine, its probably the most annoying part in calculus", "session_id": 12860, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "ah one second", "session_id": 12860, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "i see how you got 1 over cosine", "session_id": 12860, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "but cscx is actually 1/sinx", "session_id": 12860, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "the co things is kinda confusing", "session_id": 12860, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "great!", "session_id": 12860, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "now how much do you know about the unit circle?", "session_id": 12860, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "not much, im pretty bad at it", "session_id": 12860, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "thats fine", "session_id": 12860, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "so ill just draw it rq", "session_id": 12860, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "a trick that we can use is that we only need to memorize the first quadrant", "session_id": 12860, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "and then flip the sin and cos values based on the theta values that are given", "session_id": 12860, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "so do you know the values in the first quadrant?", "session_id": 12860, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "not quite", "session_id": 12860, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "so ill write them out for you", "session_id": 12860, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "so when getting sin and cos", "session_id": 12860, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "think sin as y value", "session_id": 12860, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "and cos as x value", "session_id": 12860, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "those are the values of theta", "session_id": 12860, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "so if you put cos(ppi/6)", "session_id": 12860, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "you would get sqrt(3)/2", "session_id": 12860, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "and if you put sin(pi/6) you would get .5", "session_id": 12860, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "sorry i just couldnt tell what values were under pi", "session_id": 12860, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "so another thing you can use is that cos and sin will either be sqrt(3)/2 or 1/2 as long as the denominator is not 4", "session_id": 12860, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "oh ok", "session_id": 12860, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "thank you sorry", "session_id": 12860, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "no worries, if something isnt clear feel free to tell me", "session_id": 12860, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "if the denominator is 4 for the theta value, then the value of sin and cos will either be -sqty(2)/2 or sqrt(2)/2", "session_id": 12860, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "an example would be theta = 5pi/4", "session_id": 12860, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "or this line", "session_id": 12860, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "what we can do to think about the sin and cos values would be flipping the line theta = pi/4 over the y axis", "session_id": 12860, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "then flip it again over the x axis", "session_id": 12860, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "if you flip over the x axis, you multiply the y value by -1", "session_id": 12860, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "and if you flip over the y axis, you multiply the x value by -1", "session_id": 12860, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "does that kind of make sense", "session_id": 12860, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "yes", "session_id": 12860, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "great!", "session_id": 12860, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "now once we get our sin and/or cos value, we can plug them into the other trig functons", "session_id": 12860, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "so how about you try question 50?", "session_id": 12860, "sequence_id": 50, "annotations": []}
{"role": "student", "content": "ok", "session_id": 12860, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "how are you doing so far with this question?", "session_id": 12860, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "oh sorry i didnt see you work down there", "session_id": 12860, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "alright, so not quite", "session_id": 12860, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "do you remember what happens if we raise something to the power of 0?", "session_id": 12860, "sequence_id": 55, "annotations": []}
{"role": "student", "content": "it turns into 0", "session_id": 12860, "sequence_id": 56, "annotations": []}
{"role": "student", "content": "o wait 1", "session_id": 12860, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "yeaa", "session_id": 12860, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "also, is tanx = (cosx/sinx)?", "session_id": 12860, "sequence_id": 59, "annotations": []}
{"role": "student", "content": "no.... :( sin(x)/cos(x)", "session_id": 12860, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "yeaa", "session_id": 12860, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "lets go back to the unit circle rq", "session_id": 12860, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "can you use a colored line to show where theta= 0 is", "session_id": 12860, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "nicee", "session_id": 12860, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "so what would the cos value be?", "session_id": 12860, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "yup", "session_id": 12860, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "now if cos 0 is 1, what is sin0", "session_id": 12860, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "yup", "session_id": 12860, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "so using that, what would sec0 be and what would tan0 be", "session_id": 12860, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "tan0 is correct", "session_id": 12860, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "but lets check sec again", "session_id": 12860, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "what is secx?", "session_id": 12860, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "now what would we get if we put in 0 for secx", "session_id": 12860, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "yeaa", "session_id": 12860, "sequence_id": 74, "annotations": []}
{"role": "volunteer", "content": "so what is our final answeR>", "session_id": 12860, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "answer?*", "session_id": 12860, "sequence_id": 76, "annotations": []}
{"role": "student", "content": "4?", "session_id": 12860, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "nice!", "session_id": 12860, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "do you want to try 49?", "session_id": 12860, "sequence_id": 79, "annotations": []}
{"role": "student", "content": "yes please", "session_id": 12860, "sequence_id": 80, "annotations": []}
{"role": "student", "content": "i will take a second", "session_id": 12860, "sequence_id": 81, "annotations": []}
{"role": "volunteer", "content": "looks right to me", "session_id": 12860, "sequence_id": 82, "annotations": []}
{"role": "volunteer", "content": "is it fine if I erase the board?", "session_id": 12860, "sequence_id": 83, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 12860, "sequence_id": 84, "annotations": []}
{"role": "volunteer", "content": "great", "session_id": 12860, "sequence_id": 85, "annotations": []}
{"role": "volunteer", "content": "now lets move onto 52", "session_id": 12860, "sequence_id": 86, "annotations": []}
{"role": "volunteer", "content": "let me work it out myself then ill get back to you", "session_id": 12860, "sequence_id": 87, "annotations": []}
{"role": "student", "content": "ok", "session_id": 12860, "sequence_id": 88, "annotations": []}
{"role": "volunteer", "content": "sorry for the wait", "session_id": 12860, "sequence_id": 89, "annotations": []}
{"role": "student", "content": "that totally ok", "session_id": 12860, "sequence_id": 90, "annotations": []}
{"role": "volunteer", "content": "did you try while i was solving it?", "session_id": 12860, "sequence_id": 91, "annotations": []}
{"role": "student", "content": "*is", "session_id": 12860, "sequence_id": 92, "annotations": []}
{"role": "student", "content": "kinda", "session_id": 12860, "sequence_id": 93, "annotations": []}
{"role": "volunteer", "content": "alright", "session_id": 12860, "sequence_id": 94, "annotations": []}
{"role": "volunteer", "content": "so I did this in a more complex way than needed, but I think I know the easier way", "session_id": 12860, "sequence_id": 95, "annotations": []}
{"role": "volunteer", "content": "so what was your first step?", "session_id": 12860, "sequence_id": 96, "annotations": []}
{"role": "student", "content": "my teacher said it was wrong", "session_id": 12860, "sequence_id": 97, "annotations": []}
{"role": "volunteer", "content": "said what was wrong?", "session_id": 12860, "sequence_id": 98, "annotations": []}
{"role": "student", "content": "and after that i had no idea what to do", "session_id": 12860, "sequence_id": 99, "annotations": []}
{"role": "student", "content": "my answer to this question", "session_id": 12860, "sequence_id": 100, "annotations": []}
{"role": "volunteer", "content": "ah", "session_id": 12860, "sequence_id": 101, "annotations": []}
{"role": "student", "content": "its an old test im looking over", "session_id": 12860, "sequence_id": 102, "annotations": []}
{"role": "volunteer", "content": "well it would help to see exactly where you got it wrong so that we can fix that error", "session_id": 12860, "sequence_id": 103, "annotations": []}
{"role": "student", "content": "here I can upload it onto my screen really quick", "session_id": 12860, "sequence_id": 104, "annotations": []}
{"role": "volunteer", "content": "alright", "session_id": 12860, "sequence_id": 105, "annotations": []}
{"role": "student", "content": "its on there, but I can't rotate it", "session_id": 12860, "sequence_id": 106, "annotations": []}
{"role": "volunteer", "content": "i see the question, but II dont see your work", "session_id": 12860, "sequence_id": 107, "annotations": []}
{"role": "volunteer", "content": "ah i see", "session_id": 12860, "sequence_id": 108, "annotations": []}
{"role": "volunteer", "content": "you put in 2 instead of a", "session_id": 12860, "sequence_id": 109, "annotations": []}
{"role": "volunteer", "content": "since the limit was where x goes to a", "session_id": 12860, "sequence_id": 110, "annotations": []}
{"role": "volunteer", "content": "also with substitution, you got 0/0 which is an indeterminate form", "session_id": 12860, "sequence_id": 111, "annotations": []}
{"role": "student", "content": "the pencil is me and the blue -2 and slash mark are from my teachers", "session_id": 12860, "sequence_id": 112, "annotations": []}
{"role": "student", "content": "*teacher", "session_id": 12860, "sequence_id": 113, "annotations": []}
{"role": "volunteer", "content": "good to know", "session_id": 12860, "sequence_id": 114, "annotations": []}
{"role": "volunteer", "content": "I do see that you subbed in 2 for x though", "session_id": 12860, "sequence_id": 115, "annotations": []}
{"role": "student", "content": "?", "session_id": 12860, "sequence_id": 116, "annotations": []}
{"role": "volunteer", "content": "oh sorry", "session_id": 12860, "sequence_id": 117, "annotations": []}
{"role": "student", "content": "thats how my As look", "session_id": 12860, "sequence_id": 118, "annotations": []}
{"role": "student", "content": "sorry", "session_id": 12860, "sequence_id": 119, "annotations": []}
{"role": "volunteer", "content": "i read your a as 2", "session_id": 12860, "sequence_id": 120, "annotations": []}
{"role": "volunteer", "content": "myf", "session_id": 12860, "sequence_id": 121, "annotations": []}
{"role": "volunteer", "content": "no i just read it wrong", "session_id": 12860, "sequence_id": 122, "annotations": []}
{"role": "volunteer", "content": "not ur mistake", "session_id": 12860, "sequence_id": 123, "annotations": []}
{"role": "volunteer", "content": "so the problem here is that when subbing in a, we get an inderminate form", "session_id": 12860, "sequence_id": 124, "annotations": []}
{"role": "volunteer", "content": "0/0", "session_id": 12860, "sequence_id": 125, "annotations": []}
{"role": "volunteer", "content": "that means that we need to do some algebra to get our answer", "session_id": 12860, "sequence_id": 126, "annotations": []}
{"role": "volunteer", "content": "how can we simplify the denominator?", "session_id": 12860, "sequence_id": 127, "annotations": []}
{"role": "student", "content": "oh... i guess i just gave up and said 0", "session_id": 12860, "sequence_id": 128, "annotations": []}
{"role": "student", "content": "cross the a's out", "session_id": 12860, "sequence_id": 129, "annotations": []}
{"role": "volunteer", "content": "well these types of limits are the harder ones so no worries", "session_id": 12860, "sequence_id": 130, "annotations": []}
{"role": "volunteer", "content": "well we cant quite cross out a", "session_id": 12860, "sequence_id": 131, "annotations": []}
{"role": "volunteer", "content": "since we are subtracting a in the top and adding a in the bottom", "session_id": 12860, "sequence_id": 132, "annotations": []}
{"role": "volunteer", "content": "if they were both subtracting or both adding we could cancel both of those terms entirely", "session_id": 12860, "sequence_id": 133, "annotations": []}
{"role": "volunteer", "content": "but we cant do that here", "session_id": 12860, "sequence_id": 134, "annotations": []}
{"role": "volunteer", "content": "instead, why dont we multiply the denominator and numerator by (x+a)/(x-a)", "session_id": 12860, "sequence_id": 135, "annotations": []}
{"role": "volunteer", "content": "that would get rid of the denominator completely", "session_id": 12860, "sequence_id": 136, "annotations": []}
{"role": "volunteer", "content": "yup!", "session_id": 12860, "sequence_id": 137, "annotations": []}
{"role": "volunteer", "content": "now we can do one more thing to make our work easier", "session_id": 12860, "sequence_id": 138, "annotations": []}
{"role": "student", "content": "foil?", "session_id": 12860, "sequence_id": 139, "annotations": []}
{"role": "volunteer", "content": "thats one method", "session_id": 12860, "sequence_id": 140, "annotations": []}
{"role": "volunteer", "content": "but not quite fiol", "session_id": 12860, "sequence_id": 141, "annotations": []}
{"role": "volunteer", "content": "its more like distribution", "session_id": 12860, "sequence_id": 142, "annotations": []}
{"role": "volunteer", "content": "since its just one big term", "session_id": 12860, "sequence_id": 143, "annotations": []}
{"role": "volunteer", "content": "but we can do this another way to avoid messy work", "session_id": 12860, "sequence_id": 144, "annotations": []}
{"role": "volunteer", "content": "do you think you can see it?", "session_id": 12860, "sequence_id": 145, "annotations": []}
{"role": "volunteer", "content": "if not just tell me, its all fine", "session_id": 12860, "sequence_id": 146, "annotations": []}
{"role": "student", "content": "yes", "session_id": 12860, "sequence_id": 147, "annotations": []}
{"role": "volunteer", "content": "not quite", "session_id": 12860, "sequence_id": 148, "annotations": []}
{"role": "volunteer", "content": "what I saw is that we can combine x/a and -1 into one fraction", "session_id": 12860, "sequence_id": 149, "annotations": []}
{"role": "volunteer", "content": "do you think that could be useful for our expression?", "session_id": 12860, "sequence_id": 150, "annotations": []}
{"role": "student", "content": "yes", "session_id": 12860, "sequence_id": 151, "annotations": []}
{"role": "volunteer", "content": "great! show me how this could be sued", "session_id": 12860, "sequence_id": 152, "annotations": []}
{"role": "volunteer", "content": "used*", "session_id": 12860, "sequence_id": 153, "annotations": []}
{"role": "volunteer", "content": "yea!!!", "session_id": 12860, "sequence_id": 154, "annotations": []}
{"role": "volunteer", "content": "well", "session_id": 12860, "sequence_id": 155, "annotations": []}
{"role": "volunteer", "content": "dont forget about the a at the bottom", "session_id": 12860, "sequence_id": 156, "annotations": []}
{"role": "volunteer", "content": "nice!", "session_id": 12860, "sequence_id": 157, "annotations": []}
{"role": "volunteer", "content": "now one more thing", "session_id": 12860, "sequence_id": 158, "annotations": []}
{"role": "volunteer", "content": "what are we missing on our expression?", "session_id": 12860, "sequence_id": 159, "annotations": []}
{"role": "volunteer", "content": "oh we cant cancel out our a", "session_id": 12860, "sequence_id": 160, "annotations": []}
{"role": "volunteer", "content": "the reason being is that the term on the top is x + a and at the bottom it is a", "session_id": 12860, "sequence_id": 161, "annotations": []}
{"role": "volunteer", "content": "there is no factor of a on both bottom and top", "session_id": 12860, "sequence_id": 162, "annotations": []}
{"role": "volunteer", "content": "so nothing is cancelable", "session_id": 12860, "sequence_id": 163, "annotations": []}
{"role": "volunteer", "content": "but we are missing something important", "session_id": 12860, "sequence_id": 164, "annotations": []}
{"role": "volunteer", "content": "hint: look at the left of the expression in the original expression", "session_id": 12860, "sequence_id": 165, "annotations": []}
{"role": "student", "content": "a negative", "session_id": 12860, "sequence_id": 166, "annotations": []}
{"role": "volunteer", "content": "not really", "session_id": 12860, "sequence_id": 167, "annotations": []}
{"role": "volunteer", "content": "its a shortened version of an english words", "session_id": 12860, "sequence_id": 168, "annotations": []}
{"role": "volunteer", "content": "word*", "session_id": 12860, "sequence_id": 169, "annotations": []}
{"role": "student", "content": "can you see what i wrote in orange a little lowr?", "session_id": 12860, "sequence_id": 170, "annotations": []}
{"role": "volunteer", "content": "oh i see it now", "session_id": 12860, "sequence_id": 171, "annotations": []}
{"role": "volunteer", "content": "yea thats right!", "session_id": 12860, "sequence_id": 172, "annotations": []}
{"role": "volunteer", "content": "so what would that be?", "session_id": 12860, "sequence_id": 173, "annotations": []}
{"role": "student", "content": "isnt that all I have to do?", "session_id": 12860, "sequence_id": 174, "annotations": []}
{"role": "volunteer", "content": "well we have to find the actual value", "session_id": 12860, "sequence_id": 175, "annotations": []}
{"role": "volunteer", "content": "since its asking for the limit", "session_id": 12860, "sequence_id": 176, "annotations": []}
{"role": "student", "content": "do I just make up a number", "session_id": 12860, "sequence_id": 177, "annotations": []}
{"role": "student", "content": "or put 0?", "session_id": 12860, "sequence_id": 178, "annotations": []}
{"role": "volunteer", "content": "well no, we can use substitution here", "session_id": 12860, "sequence_id": 179, "annotations": []}
{"role": "student", "content": "with the a?", "session_id": 12860, "sequence_id": 180, "annotations": []}
{"role": "volunteer", "content": "reason being is that when we plug in a, we dont get an indeterminate form", "session_id": 12860, "sequence_id": 181, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 12860, "sequence_id": 182, "annotations": []}
{"role": "student", "content": "but wouldn't it be the same.", "session_id": 12860, "sequence_id": 183, "annotations": []}
{"role": "volunteer", "content": "wdym", "session_id": 12860, "sequence_id": 184, "annotations": []}
{"role": "student", "content": "ohhh! pput the a into the x", "session_id": 12860, "sequence_id": 185, "annotations": []}
{"role": "volunteer", "content": "yea", "session_id": 12860, "sequence_id": 186, "annotations": []}
{"role": "volunteer", "content": "u got it!", "session_id": 12860, "sequence_id": 187, "annotations": []}
{"role": "volunteer", "content": "since we subbed in a for x, we no longer need the limit notation", "session_id": 12860, "sequence_id": 188, "annotations": []}
{"role": "volunteer", "content": "also what is 2a/a simplified?", "session_id": 12860, "sequence_id": 189, "annotations": []}
{"role": "student", "content": "1?", "session_id": 12860, "sequence_id": 190, "annotations": []}
{"role": "student", "content": "2", "session_id": 12860, "sequence_id": 191, "annotations": []}
{"role": "volunteer", "content": "yeaa", "session_id": 12860, "sequence_id": 192, "annotations": []}
{"role": "volunteer", "content": "so our final answer would be 2", "session_id": 12860, "sequence_id": 193, "annotations": []}
{"role": "student", "content": "can I write this down super quick", "session_id": 12860, "sequence_id": 194, "annotations": []}
{"role": "volunteer", "content": "write what down?", "session_id": 12860, "sequence_id": 195, "annotations": []}
{"role": "student", "content": "oh just onto a notebook so I don't forget", "session_id": 12860, "sequence_id": 196, "annotations": []}
{"role": "volunteer", "content": "oh yea", "session_id": 12860, "sequence_id": 197, "annotations": []}
{"role": "volunteer", "content": "go for it", "session_id": 12860, "sequence_id": 198, "annotations": []}
{"role": "volunteer", "content": "I can do one more question and then I will have to leave btw", "session_id": 12860, "sequence_id": 199, "annotations": []}
{"role": "student", "content": "could we do 19 then?", "session_id": 12860, "sequence_id": 200, "annotations": []}
{"role": "student", "content": "i put it at the top", "session_id": 12860, "sequence_id": 201, "annotations": []}
{"role": "volunteer", "content": "sure", "session_id": 12860, "sequence_id": 202, "annotations": []}
{"role": "volunteer", "content": "can i eras the whiteboard?", "session_id": 12860, "sequence_id": 203, "annotations": []}
{"role": "student", "content": "yes please", "session_id": 12860, "sequence_id": 204, "annotations": []}
{"role": "volunteer", "content": "great", "session_id": 12860, "sequence_id": 205, "annotations": []}
{"role": "volunteer", "content": "let me write down g(x) rq", "session_id": 12860, "sequence_id": 206, "annotations": []}
{"role": "student", "content": "i got the reduced form, but not the other parts", "session_id": 12860, "sequence_id": 207, "annotations": []}
{"role": "volunteer", "content": "alright", "session_id": 12860, "sequence_id": 208, "annotations": []}
{"role": "volunteer", "content": "so ill just simplify rq", "session_id": 12860, "sequence_id": 209, "annotations": []}
{"role": "volunteer", "content": "alright", "session_id": 12860, "sequence_id": 210, "annotations": []}
{"role": "volunteer", "content": "so where does the y intercept occur?", "session_id": 12860, "sequence_id": 211, "annotations": []}
{"role": "student", "content": "when x=0", "session_id": 12860, "sequence_id": 212, "annotations": []}
{"role": "volunteer", "content": "great!", "session_id": 12860, "sequence_id": 213, "annotations": []}
{"role": "volunteer", "content": "so how can we find the y intercept using this knowledge?", "session_id": 12860, "sequence_id": 214, "annotations": []}
{"role": "student", "content": "do we plug it into the orginal form?", "session_id": 12860, "sequence_id": 215, "annotations": []}
{"role": "student", "content": "0 for x i mean", "session_id": 12860, "sequence_id": 216, "annotations": []}
{"role": "volunteer", "content": "yup, but its best to plug it into the reduced form", "session_id": 12860, "sequence_id": 217, "annotations": []}
{"role": "volunteer", "content": "so what is our y-intercept?", "session_id": 12860, "sequence_id": 218, "annotations": []}
{"role": "student", "content": "0?", "session_id": 12860, "sequence_id": 219, "annotations": []}
{"role": "volunteer", "content": "yup!", "session_id": 12860, "sequence_id": 220, "annotations": []}
{"role": "volunteer", "content": "so what is that as a coordinate?", "session_id": 12860, "sequence_id": 221, "annotations": []}
{"role": "student", "content": "0,0", "session_id": 12860, "sequence_id": 222, "annotations": []}
{"role": "volunteer", "content": "there you go!", "session_id": 12860, "sequence_id": 223, "annotations": []}
{"role": "volunteer", "content": "now lets move onto x intercepts", "session_id": 12860, "sequence_id": 224, "annotations": []}
{"role": "volunteer", "content": "where are x intercepts?", "session_id": 12860, "sequence_id": 225, "annotations": []}
{"role": "student", "content": "when y=0", "session_id": 12860, "sequence_id": 226, "annotations": []}
{"role": "volunteer", "content": "nice!", "session_id": 12860, "sequence_id": 227, "annotations": []}
{"role": "volunteer", "content": "or in other words g(x)=0 right?", "session_id": 12860, "sequence_id": 228, "annotations": []}
{"role": "student", "content": "yes", "session_id": 12860, "sequence_id": 229, "annotations": []}
{"role": "volunteer", "content": "so do you think you can find where the x intercepts are?", "session_id": 12860, "sequence_id": 230, "annotations": []}
{"role": "student", "content": "yes, one second", "session_id": 12860, "sequence_id": 231, "annotations": []}
{"role": "volunteer", "content": "of course", "session_id": 12860, "sequence_id": 232, "annotations": []}
{"role": "student", "content": "do we only want the numerator?", "session_id": 12860, "sequence_id": 233, "annotations": []}
{"role": "student", "content": "to equal zero?", "session_id": 12860, "sequence_id": 234, "annotations": []}
{"role": "volunteer", "content": "yea", "session_id": 12860, "sequence_id": 235, "annotations": []}
{"role": "volunteer", "content": "can you tell me why though", "session_id": 12860, "sequence_id": 236, "annotations": []}
{"role": "student", "content": "because if it turns out to be a zero everything doesn't blow up?", "session_id": 12860, "sequence_id": 237, "annotations": []}
{"role": "volunteer", "content": "yup", "session_id": 12860, "sequence_id": 238, "annotations": []}
{"role": "volunteer", "content": "or since you multiply the denominator to 0", "session_id": 12860, "sequence_id": 239, "annotations": []}
{"role": "volunteer", "content": "so what are the x intercepts as coordinates?", "session_id": 12860, "sequence_id": 240, "annotations": []}
{"role": "student", "content": "x=1,1,2/3,2/3,2/3", "session_id": 12860, "sequence_id": 241, "annotations": []}
{"role": "student", "content": "?", "session_id": 12860, "sequence_id": 242, "annotations": []}
{"role": "student", "content": "or (1,0), (1,0), (1,0)", "session_id": 12860, "sequence_id": 243, "annotations": []}
{"role": "student", "content": "and (2/3,0)", "session_id": 12860, "sequence_id": 244, "annotations": []}
{"role": "student", "content": "3times", "session_id": 12860, "sequence_id": 245, "annotations": []}
{"role": "volunteer", "content": "can you show me how you got that?", "session_id": 12860, "sequence_id": 246, "annotations": []}
{"role": "student", "content": "one second let me put it on the shared screen", "session_id": 12860, "sequence_id": 247, "annotations": []}
{"role": "volunteer", "content": "alright", "session_id": 12860, "sequence_id": 248, "annotations": []}
{"role": "volunteer", "content": "rq can you confirm if the expression i wrote at the top is correct before reducing", "session_id": 12860, "sequence_id": 249, "annotations": []}
{"role": "student", "content": "where?", "session_id": 12860, "sequence_id": 250, "annotations": []}
{"role": "volunteer", "content": "i circled it on the whiteboard", "session_id": 12860, "sequence_id": 251, "annotations": []}
{"role": "student", "content": "looks right to me", "session_id": 12860, "sequence_id": 252, "annotations": []}
{"role": "student", "content": "its what I have on my paper", "session_id": 12860, "sequence_id": 253, "annotations": []}
{"role": "volunteer", "content": "alright", "session_id": 12860, "sequence_id": 254, "annotations": []}
{"role": "volunteer", "content": "then I believe you reduced something wrong", "session_id": 12860, "sequence_id": 255, "annotations": []}
{"role": "volunteer", "content": "since we have different expressions", "session_id": 12860, "sequence_id": 256, "annotations": []}
{"role": "volunteer", "content": "for solving for x intercepts", "session_id": 12860, "sequence_id": 257, "annotations": []}
{"role": "student", "content": "was I supposed to take the numerator of the reduced form?", "session_id": 12860, "sequence_id": 258, "annotations": []}
{"role": "volunteer", "content": "numerator of reduced form", "session_id": 12860, "sequence_id": 259, "annotations": []}
{"role": "volunteer", "content": "you onyl put each point once btw", "session_id": 12860, "sequence_id": 260, "annotations": []}
{"role": "student", "content": "oh.... I took it from the orginial", "session_id": 12860, "sequence_id": 261, "annotations": []}
{"role": "volunteer", "content": "you are right that the multiplicity of the point is greater than 1 tho", "session_id": 12860, "sequence_id": 262, "annotations": []}
{"role": "volunteer", "content": "but it wasnt asking for that in the question", "session_id": 12860, "sequence_id": 263, "annotations": []}
{"role": "student", "content": "is it just (2/3,0)", "session_id": 12860, "sequence_id": 264, "annotations": []}
{"role": "volunteer", "content": "yup", "session_id": 12860, "sequence_id": 265, "annotations": []}
{"role": "volunteer", "content": "and one more", "session_id": 12860, "sequence_id": 266, "annotations": []}
{"role": "student", "content": "0,0", "session_id": 12860, "sequence_id": 267, "annotations": []}
{"role": "volunteer", "content": "nice!!", "session_id": 12860, "sequence_id": 268, "annotations": []}
{"role": "volunteer", "content": "is that all in that question?", "session_id": 12860, "sequence_id": 269, "annotations": []}
{"role": "student", "content": "I also need to find the HA", "session_id": 12860, "sequence_id": 270, "annotations": []}
{"role": "volunteer", "content": "ah ok", "session_id": 12860, "sequence_id": 271, "annotations": []}
{"role": "student", "content": "so end behaviours", "session_id": 12860, "sequence_id": 272, "annotations": []}
{"role": "volunteer", "content": "so we would need to use the reduced form", "session_id": 12860, "sequence_id": 273, "annotations": []}
{"role": "volunteer", "content": "as otherwise we would be dealing with holes", "session_id": 12860, "sequence_id": 274, "annotations": []}
{"role": "student", "content": "are the all odd", "session_id": 12860, "sequence_id": 275, "annotations": []}
{"role": "volunteer", "content": "move to the top of the whiteboard please", "session_id": 12860, "sequence_id": 276, "annotations": []}
{"role": "volunteer", "content": "wdym by odd", "session_id": 12860, "sequence_id": 277, "annotations": []}
{"role": "student", "content": "nevermind", "session_id": 12860, "sequence_id": 278, "annotations": []}
{"role": "volunteer", "content": "alright", "session_id": 12860, "sequence_id": 279, "annotations": []}
{"role": "volunteer", "content": "so what we do here is expand our denominator and numerator", "session_id": 12860, "sequence_id": 280, "annotations": []}
{"role": "volunteer", "content": "do you think you can find the HA from here?", "session_id": 12860, "sequence_id": 281, "annotations": []}
{"role": "student", "content": "is it 3", "session_id": 12860, "sequence_id": 282, "annotations": []}
{"role": "volunteer", "content": "yup", "session_id": 12860, "sequence_id": 283, "annotations": []}
{"role": "student", "content": "from the ratio of coeff", "session_id": 12860, "sequence_id": 284, "annotations": []}
{"role": "volunteer", "content": "correct!", "session_id": 12860, "sequence_id": 285, "annotations": []}
{"role": "volunteer", "content": "is that all for this question?", "session_id": 12860, "sequence_id": 286, "annotations": []}
{"role": "student", "content": "yes! thank you so much!!", "session_id": 12860, "sequence_id": 287, "annotations": []}
{"role": "student", "content": "bye", "session_id": 12860, "sequence_id": 288, "annotations": []}
{"role": "volunteer", "content": "np", "session_id": 12860, "sequence_id": 289, "annotations": []}
{"role": "volunteer", "content": "have a great day/night!!", "session_id": 12860, "sequence_id": 290, "annotations": []}
{"role": "student", "content": "you too", "session_id": 12860, "sequence_id": 291, "annotations": []}
{"role": "volunteer", "content": "Hi Jamie", "session_id": 12941, "sequence_id": 0, "annotations": [{"pii_type": "PERSON", "surrogate": "Jamie", "start": 3, "end": 8}]}
{"role": "student", "content": "Hi", "session_id": 12941, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "I just need to go over points of concurrency", "session_id": 12941, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "sure", "session_id": 12941, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "I understand it but I just want to go over for a test tomorrow", "session_id": 12941, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "do you have a problem to work on?", "session_id": 12941, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "Yeah let me put it on the whiteboard", "session_id": 12941, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 12941, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "How do you memorize the terms", "session_id": 12941, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "that's a hard one", "session_id": 12941, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "for circumcenter, I will circle", "session_id": 12941, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "My teacher had a phrase he said", "session_id": 12941, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "okay", "session_id": 12941, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "what's the phrase", "session_id": 12941, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "I forgot", "session_id": 12941, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "no problme", "session_id": 12941, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "it is rather intuitive", "session_id": 12941, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "circumcenter", "session_id": 12941, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "must be related to a circle", "session_id": 12941, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "Oh wait all of my children are bringing in peanut butter cookies", "session_id": 12941, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "oh I see", "session_id": 12941, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "how is this related to all the points of concurrencies", "session_id": 12941, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "Let me put it on the whiteboard", "session_id": 12941, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "I see", "session_id": 12941, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "I think this makes things unnecessarily complicated", "session_id": 12941, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "centroid --> mid point", "session_id": 12941, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "Orthocenter --> Perpendicular", "session_id": 12941, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "circumcenter --> circle", "session_id": 12941, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "Yeah my teacher said it and I was still confused but I understand it", "session_id": 12941, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "I was confused on memorizing it", "session_id": 12941, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "So the circumcenter is", "session_id": 12941, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "I don't think you should try to remember this", "session_id": 12941, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "Yeah I think your right", "session_id": 12941, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "do you want to work on these 3 problems now?", "session_id": 12941, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "Sure", "session_id": 12941, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "oka", "session_id": 12941, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "okay.", "session_id": 12941, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "Circumcenter is perpendicular bisect or", "session_id": 12941, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "So like the midpoint and slope of the line", "session_id": 12941, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "yes!", "session_id": 12941, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "So I\u2019ll just solve it out first then", "session_id": 12941, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "let's find the equation for two perpendicular bisectors", "session_id": 12941, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "Okay", "session_id": 12941, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "So I\u2019ll write it out?", "session_id": 12941, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "you can work on a piece of paper, we can then compare numbers", "session_id": 12941, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "Yeah sure", "session_id": 12941, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "Sorry I just started", "session_id": 12941, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "no problem. I am also kind of slow", "session_id": 12941, "sequence_id": 47, "annotations": []}
{"role": "student", "content": "Wait I think I did it wrong", "session_id": 12941, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "I got 14 for x", "session_id": 12941, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "is it possible for x to be that big?", "session_id": 12941, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "the maximum of x is 6 for the 3 vertices", "session_id": 12941, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "I did this in class with someone else and got it right", "session_id": 12941, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "let me work on the board", "session_id": 12941, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "to make sure", "session_id": 12941, "sequence_id": 54, "annotations": []}
{"role": "student", "content": "I know the answer was def not 14", "session_id": 12941, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "exactly", "session_id": 12941, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "let me graph it so you can get a sense on what x can be", "session_id": 12941, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "I will work on the algebra on the board", "session_id": 12941, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "does this make sense?", "session_id": 12941, "sequence_id": 59, "annotations": []}
{"role": "student", "content": "I got the same slope but for the mid point I got (2,3)", "session_id": 12941, "sequence_id": 60, "annotations": []}
{"role": "student", "content": "Let me check", "session_id": 12941, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 12941, "sequence_id": 62, "annotations": []}
{"role": "student", "content": "Yeah it makes sense", "session_id": 12941, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "let's continue", "session_id": 12941, "sequence_id": 64, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 12941, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "I used the point-slope form", "session_id": 12941, "sequence_id": 66, "annotations": []}
{"role": "student", "content": "Yeah same", "session_id": 12941, "sequence_id": 67, "annotations": []}
{"role": "student", "content": "That\u2019s how my teacher taught it", "session_id": 12941, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "great", "session_id": 12941, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "next, let's do AC?", "session_id": 12941, "sequence_id": 70, "annotations": []}
{"role": "student", "content": "I did cb", "session_id": 12941, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "no problem. I will be cb as well", "session_id": 12941, "sequence_id": 72, "annotations": []}
{"role": "student", "content": "Oh yeah I got the slope wrong", "session_id": 12941, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "I see", "session_id": 12941, "sequence_id": 74, "annotations": []}
{"role": "volunteer", "content": "it is very easy to make a mistake", "session_id": 12941, "sequence_id": 75, "annotations": []}
{"role": "student", "content": "Wait is it suppose to be positive", "session_id": 12941, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "you are right!!!", "session_id": 12941, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "so the slope for the perp bisector will be -2", "session_id": 12941, "sequence_id": 78, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 12941, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "how do you solve this system of equations?", "session_id": 12941, "sequence_id": 80, "annotations": []}
{"role": "student", "content": "You simpfly it and make it equal to each other", "session_id": 12941, "sequence_id": 81, "annotations": []}
{"role": "volunteer", "content": "great", "session_id": 12941, "sequence_id": 82, "annotations": []}
{"role": "volunteer", "content": "yes!", "session_id": 12941, "sequence_id": 83, "annotations": []}
{"role": "volunteer", "content": "we can also subtract one from the other to get rid of y", "session_id": 12941, "sequence_id": 84, "annotations": []}
{"role": "student", "content": "Oh yeah", "session_id": 12941, "sequence_id": 85, "annotations": []}
{"role": "volunteer", "content": "this is what I got", "session_id": 12941, "sequence_id": 86, "annotations": []}
{"role": "student", "content": "Let me solve it out", "session_id": 12941, "sequence_id": 87, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 12941, "sequence_id": 88, "annotations": []}
{"role": "student", "content": "Do you have to distribute?", "session_id": 12941, "sequence_id": 89, "annotations": []}
{"role": "volunteer", "content": "I did", "session_id": 12941, "sequence_id": 90, "annotations": []}
{"role": "student", "content": "Yeah it is 19/7", "session_id": 12941, "sequence_id": 91, "annotations": []}
{"role": "volunteer", "content": "great", "session_id": 12941, "sequence_id": 92, "annotations": []}
{"role": "volunteer", "content": "now you can compute y", "session_id": 12941, "sequence_id": 93, "annotations": []}
{"role": "student", "content": "Idk why it\u2019s not letting me write", "session_id": 12941, "sequence_id": 94, "annotations": []}
{"role": "student", "content": "Oh nvm", "session_id": 12941, "sequence_id": 95, "annotations": []}
{"role": "volunteer", "content": "that's what I got as well", "session_id": 12941, "sequence_id": 96, "annotations": []}
{"role": "volunteer", "content": "so it should be right.", "session_id": 12941, "sequence_id": 97, "annotations": []}
{"role": "student", "content": "Yeah i have the answer key", "session_id": 12941, "sequence_id": 98, "annotations": []}
{"role": "volunteer", "content": "cool", "session_id": 12941, "sequence_id": 99, "annotations": []}
{"role": "volunteer", "content": "you want to work on the 2nd one?", "session_id": 12941, "sequence_id": 100, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 12941, "sequence_id": 101, "annotations": []}
{"role": "volunteer", "content": "ok. let's work on paper first", "session_id": 12941, "sequence_id": 102, "annotations": []}
{"role": "volunteer", "content": "and then compare numbers", "session_id": 12941, "sequence_id": 103, "annotations": []}
{"role": "student", "content": "Sure", "session_id": 12941, "sequence_id": 104, "annotations": []}
{"role": "student", "content": "I got x right", "session_id": 12941, "sequence_id": 105, "annotations": []}
{"role": "volunteer", "content": "great", "session_id": 12941, "sequence_id": 106, "annotations": []}
{"role": "volunteer", "content": "13/4?", "session_id": 12941, "sequence_id": 107, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 12941, "sequence_id": 108, "annotations": []}
{"role": "volunteer", "content": "great. y is relatively easy", "session_id": 12941, "sequence_id": 109, "annotations": []}
{"role": "volunteer", "content": "once x is correct.", "session_id": 12941, "sequence_id": 110, "annotations": []}
{"role": "student", "content": "Oh yeah", "session_id": 12941, "sequence_id": 111, "annotations": []}
{"role": "student", "content": "11/2", "session_id": 12941, "sequence_id": 112, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 12941, "sequence_id": 113, "annotations": []}
{"role": "volunteer", "content": "you are good!", "session_id": 12941, "sequence_id": 114, "annotations": []}
{"role": "volunteer", "content": "for the centroid, there is actually a simple formula", "session_id": 12941, "sequence_id": 115, "annotations": []}
{"role": "student", "content": "Omg really", "session_id": 12941, "sequence_id": 116, "annotations": []}
{"role": "volunteer", "content": "x=1/3(x1+x2+x3)", "session_id": 12941, "sequence_id": 117, "annotations": []}
{"role": "volunteer", "content": "y=1/3(y1+y2+y3)", "session_id": 12941, "sequence_id": 118, "annotations": []}
{"role": "volunteer", "content": ":)", "session_id": 12941, "sequence_id": 119, "annotations": []}
{"role": "student", "content": "I will use that to check my work", "session_id": 12941, "sequence_id": 120, "annotations": []}
{"role": "volunteer", "content": "yes please", "session_id": 12941, "sequence_id": 121, "annotations": []}
{"role": "student", "content": "thank you so much :)", "session_id": 12941, "sequence_id": 122, "annotations": []}
{"role": "volunteer", "content": "you are very welcome.", "session_id": 12941, "sequence_id": 123, "annotations": []}
{"role": "volunteer", "content": "I actually have to drop, but I think you are in great shape.", "session_id": 12941, "sequence_id": 124, "annotations": []}
{"role": "student", "content": "Okay thank you so much", "session_id": 12941, "sequence_id": 125, "annotations": []}
{"role": "volunteer", "content": "you are very welcome.", "session_id": 12941, "sequence_id": 126, "annotations": []}
{"role": "volunteer", "content": "bye", "session_id": 12941, "sequence_id": 127, "annotations": []}
{"role": "student", "content": "Bye", "session_id": 12941, "sequence_id": 128, "annotations": []}
{"role": "student", "content": "Hi Ben", "session_id": 13418, "sequence_id": 0, "annotations": [{"pii_type": "PERSON", "surrogate": "Ben", "start": 3, "end": 6}]}
{"role": "volunteer", "content": "hey, again", "session_id": 13418, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "Hey sorry abt last time", "session_id": 13418, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "It was just last minute", "session_id": 13418, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "and i had to do a couple things", "session_id": 13418, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "what happened last time?", "session_id": 13418, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "I had to go bc my mom was coming", "session_id": 13418, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "remember?", "session_id": 13418, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "oh", "session_id": 13418, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "i got to go sorry my moms coming\nbyee", "session_id": 13418, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 13418, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "no problem", "session_id": 13418, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "hey i had a question", "session_id": 13418, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "moms have priority over tutors", "session_id": 13418, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 13418, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "what's your question?", "session_id": 13418, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "is it about holy water?", "session_id": 13418, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "no lol", "session_id": 13418, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "if student could favorite coaches, can coaches favorite students?", "session_id": 13418, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "no.", "session_id": 13418, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "oh", "session_id": 13418, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "but I maintain my own spreadsheet of all the kids I tutor.", "session_id": 13418, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "oh", "session_id": 13418, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "They get a checkmark or an X", "session_id": 13418, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "that's cool", "session_id": 13418, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "oh did i get and X", "session_id": 13418, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "I don't pick up the session if I see an X by their name", "session_id": 13418, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "I'm here, aren't I?", "session_id": 13418, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "oh ok yay", "session_id": 13418, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "I think i favotited you", "session_id": 13418, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "students who tell me jokes usually get checkmarks", "session_id": 13418, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "lol", "session_id": 13418, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "favoriting doesn't do much of anything", "session_id": 13418, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "oh the bot says you get them if you favorite them", "session_id": 13418, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "but i guess it lied", "session_id": 13418, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "when you request a coach, every coach certified in your requested subject still sees your request as soon as you make it", "session_id": 13418, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "coaches who have set up available time intervals get text notifications when a request comes in.", "session_id": 13418, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "I have a question, do you know any other coaches?", "session_id": 13418, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "they get those texts a few minutes before coaches who aren't favorited", "session_id": 13418, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "or are you not allowed to tell me", "session_id": 13418, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "oh oki", "session_id": 13418, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "I've had conversations with some other coaches. we have a slack website with different topics of interest to coaches.", "session_id": 13418, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "oh ok :)", "session_id": 13418, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "but I've never met any of them and don't really know any of them.", "session_id": 13418, "sequence_id": 43, "annotations": []}
{"role": "student", "content": "have you talked to any of them?", "session_id": 13418, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "no", "session_id": 13418, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "just text conversations via slack", "session_id": 13418, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "oh ok", "session_id": 13418, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "and not many of those", "session_id": 13418, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "oh", "session_id": 13418, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "lots of new coaches go to the Introductions channel in slack and talk about how excited they are to join our community/team. Looking forward to working with us.", "session_id": 13418, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "We don't really work together. We work with the students.", "session_id": 13418, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "oh is there a chance that some of them go back to school and aren't coaches anymore", "session_id": 13418, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "If a coach goes to the Math channel with a problem he/she can't solve, I'll often offer assistance.", "session_id": 13418, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "Most of the coaches seem to be students. I think a lot of them sign up, then lose interest pretty quickly.", "session_id": 13418, "sequence_id": 54, "annotations": []}
{"role": "student", "content": "oh so they just quit?", "session_id": 13418, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "they just stop logging in, I guess.", "session_id": 13418, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "there's no real quitting process", "session_id": 13418, "sequence_id": 57, "annotations": []}
{"role": "student", "content": "oh", "session_id": 13418, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "it's not like we're paid or anything", "session_id": 13418, "sequence_id": 59, "annotations": []}
{"role": "student", "content": "i was jus gonna say that", "session_id": 13418, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "we're all just volunteers", "session_id": 13418, "sequence_id": 61, "annotations": []}
{"role": "student", "content": "yeah u do it bc u want to", "session_id": 13418, "sequence_id": 62, "annotations": []}
{"role": "student", "content": "right?", "session_id": 13418, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "we tutor when we want to", "session_id": 13418, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "yeah, or because it is court ordered", "session_id": 13418, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "(just kidding)", "session_id": 13418, "sequence_id": 66, "annotations": []}
{"role": "student", "content": "bro i thought it was a punnishment or somthing", "session_id": 13418, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "a lot of kids tutor to get volunteer hours for school", "session_id": 13418, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "I don't care about the hours", "session_id": 13418, "sequence_id": 69, "annotations": []}
{"role": "student", "content": "oh that makes you awesome!", "session_id": 13418, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "I've got almost 1214 hours", "session_id": 13418, "sequence_id": 71, "annotations": []}
{"role": "student", "content": "wow sounds like my Xp in duolingo", "session_id": 13418, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "in almost 4 years", "session_id": 13418, "sequence_id": 73, "annotations": []}
{"role": "student", "content": "oh", "session_id": 13418, "sequence_id": 74, "annotations": []}
{"role": "student", "content": "4 YEARS!", "session_id": 13418, "sequence_id": 75, "annotations": []}
{"role": "student", "content": "thats a lot of time", "session_id": 13418, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "yeah. probably 4 years in December", "session_id": 13418, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "I'm one of the oldest coaches here, in more ways than one", "session_id": 13418, "sequence_id": 78, "annotations": []}
{"role": "student", "content": "Thats pretty cool", "session_id": 13418, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "yeah", "session_id": 13418, "sequence_id": 80, "annotations": []}
{"role": "volunteer", "content": "I'm just here to help kids like you", "session_id": 13418, "sequence_id": 81, "annotations": []}
{"role": "volunteer", "content": "need math help?", "session_id": 13418, "sequence_id": 82, "annotations": []}
{"role": "student", "content": "Do you know any famous old people?", "session_id": 13418, "sequence_id": 83, "annotations": []}
{"role": "volunteer", "content": "no", "session_id": 13418, "sequence_id": 84, "annotations": []}
{"role": "student", "content": "lol", "session_id": 13418, "sequence_id": 85, "annotations": []}
{"role": "volunteer", "content": "I've seen a few", "session_id": 13418, "sequence_id": 86, "annotations": []}
{"role": "student", "content": "so cool", "session_id": 13418, "sequence_id": 87, "annotations": []}
{"role": "student", "content": "ive never met a famous person in my life", "session_id": 13418, "sequence_id": 88, "annotations": []}
{"role": "volunteer", "content": "was a few feet away from Oprah Winfrey", "session_id": 13418, "sequence_id": 89, "annotations": [{"pii_type": "PERSON", "surrogate": "Oprah Winfrey", "start": 25, "end": 38}]}
{"role": "student", "content": "Om goodness", "session_id": 13418, "sequence_id": 90, "annotations": []}
{"role": "student", "content": "thats cool", "session_id": 13418, "sequence_id": 91, "annotations": []}
{"role": "student", "content": "Being rich comes at a cost tho", "session_id": 13418, "sequence_id": 92, "annotations": []}
{"role": "student", "content": "bc if your rich ur famous", "session_id": 13418, "sequence_id": 93, "annotations": []}
{"role": "student", "content": "being famous means not being able to go anywhere without being bothered", "session_id": 13418, "sequence_id": 94, "annotations": []}
{"role": "student", "content": "so thats why i think poor life is pretty good", "session_id": 13418, "sequence_id": 95, "annotations": []}
{"role": "student", "content": "you can afford the things you need and you dont get botherd 24/7", "session_id": 13418, "sequence_id": 96, "annotations": []}
{"role": "volunteer", "content": "listen to the song \"If I Were a Rich Man\"", "session_id": 13418, "sequence_id": 97, "annotations": []}
{"role": "student", "content": "why?", "session_id": 13418, "sequence_id": 98, "annotations": []}
{"role": "student", "content": "is it a country song?", "session_id": 13418, "sequence_id": 99, "annotations": []}
{"role": "volunteer", "content": "no", "session_id": 13418, "sequence_id": 100, "annotations": []}
{"role": "student", "content": "oh good", "session_id": 13418, "sequence_id": 101, "annotations": []}
{"role": "student", "content": "i dont like country songs", "session_id": 13418, "sequence_id": 102, "annotations": []}
{"role": "volunteer", "content": "song from Tevye on the Roof about wanting to be rich", "session_id": 13418, "sequence_id": 103, "annotations": [{"pii_type": "PERSON", "surrogate": "Tevye", "start": 10, "end": 15}]}
{"role": "student", "content": "why would someone want to be rich", "session_id": 13418, "sequence_id": 104, "annotations": []}
{"role": "student", "content": "nevermind", "session_id": 13418, "sequence_id": 105, "annotations": []}
{"role": "student", "content": "i know why", "session_id": 13418, "sequence_id": 106, "annotations": []}
{"role": "volunteer", "content": "it has its advantages", "session_id": 13418, "sequence_id": 107, "annotations": []}
{"role": "volunteer", "content": "want to do math?", "session_id": 13418, "sequence_id": 108, "annotations": []}
{"role": "student", "content": "but it also has disadvantages", "session_id": 13418, "sequence_id": 109, "annotations": []}
{"role": "student", "content": "not really", "session_id": 13418, "sequence_id": 110, "annotations": []}
{"role": "volunteer", "content": "LOL", "session_id": 13418, "sequence_id": 111, "annotations": []}
{"role": "volunteer", "content": "that's why I'm here", "session_id": 13418, "sequence_id": 112, "annotations": []}
{"role": "student", "content": "ive done a lot of math since 5:00", "session_id": 13418, "sequence_id": 113, "annotations": []}
{"role": "student", "content": "sorry yeah one question", "session_id": 13418, "sequence_id": 114, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 13418, "sequence_id": 115, "annotations": []}
{"role": "student", "content": "i will put it on the board", "session_id": 13418, "sequence_id": 116, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 13418, "sequence_id": 117, "annotations": []}
{"role": "student", "content": "hey before we start", "session_id": 13418, "sequence_id": 118, "annotations": []}
{"role": "student", "content": "do you know anything about being a doctor", "session_id": 13418, "sequence_id": 119, "annotations": []}
{"role": "volunteer", "content": "no", "session_id": 13418, "sequence_id": 120, "annotations": []}
{"role": "student", "content": "i will listen to the song \"If I Were a Rich Man\"", "session_id": 13418, "sequence_id": 121, "annotations": []}
{"role": "student", "content": "but you have to watch a video if you have a tv", "session_id": 13418, "sequence_id": 122, "annotations": []}
{"role": "volunteer", "content": "watch a video to see Tevye dance while singing it", "session_id": 13418, "sequence_id": 123, "annotations": []}
{"role": "student", "content": "what?", "session_id": 13418, "sequence_id": 124, "annotations": []}
{"role": "volunteer", "content": "the character who sings it is named Tevye", "session_id": 13418, "sequence_id": 125, "annotations": []}
{"role": "student", "content": "oh ok", "session_id": 13418, "sequence_id": 126, "annotations": []}
{"role": "volunteer", "content": "and he dances while singing", "session_id": 13418, "sequence_id": 127, "annotations": []}
{"role": "student", "content": "wow", "session_id": 13418, "sequence_id": 128, "annotations": []}
{"role": "volunteer", "content": "Fiddler on the Roof is my favorite musical", "session_id": 13418, "sequence_id": 129, "annotations": []}
{"role": "student", "content": "cool", "session_id": 13418, "sequence_id": 130, "annotations": []}
{"role": "student", "content": "So you use youtube/", "session_id": 13418, "sequence_id": 131, "annotations": []}
{"role": "student", "content": "*?", "session_id": 13418, "sequence_id": 132, "annotations": []}
{"role": "volunteer", "content": "some, not much", "session_id": 13418, "sequence_id": 133, "annotations": []}
{"role": "volunteer", "content": "math?", "session_id": 13418, "sequence_id": 134, "annotations": []}
{"role": "student", "content": "Watch a video by Sal Khan", "session_id": 13418, "sequence_id": 135, "annotations": [{"pii_type": "PERSON", "surrogate": "Sal Khan", "start": 17, "end": 25}]}
{"role": "student", "content": "yes math now lol", "session_id": 13418, "sequence_id": 136, "annotations": []}
{"role": "student", "content": "ok the problem says solve for x", "session_id": 13418, "sequence_id": 137, "annotations": []}
{"role": "volunteer", "content": "pretty easy", "session_id": 13418, "sequence_id": 138, "annotations": []}
{"role": "volunteer", "content": "I just marked 2 angles", "session_id": 13418, "sequence_id": 139, "annotations": []}
{"role": "volunteer", "content": "what can you tell me about them?", "session_id": 13418, "sequence_id": 140, "annotations": []}
{"role": "student", "content": "ok first can i guess that x = 62 degrees?", "session_id": 13418, "sequence_id": 141, "annotations": []}
{"role": "volunteer", "content": "no", "session_id": 13418, "sequence_id": 142, "annotations": []}
{"role": "student", "content": "oh man", "session_id": 13418, "sequence_id": 143, "annotations": []}
{"role": "volunteer", "content": "well, you can, but it's wrong", "session_id": 13418, "sequence_id": 144, "annotations": []}
{"role": "student", "content": "oh", "session_id": 13418, "sequence_id": 145, "annotations": []}
{"role": "volunteer", "content": "what about those 2 angles?", "session_id": 13418, "sequence_id": 146, "annotations": []}
{"role": "student", "content": "are they vertical angles?", "session_id": 13418, "sequence_id": 147, "annotations": []}
{"role": "volunteer", "content": "when I grew up, those were called opposite angles, because they were opposite each other where 2 lines cross. name makes more sense.", "session_id": 13418, "sequence_id": 148, "annotations": []}
{"role": "volunteer", "content": "now they call them vertical angles", "session_id": 13418, "sequence_id": 149, "annotations": []}
{"role": "volunteer", "content": "do you know anything about vertical angles?", "session_id": 13418, "sequence_id": 150, "annotations": []}
{"role": "student", "content": "bro are you Geometry or something?", "session_id": 13418, "sequence_id": 151, "annotations": []}
{"role": "volunteer", "content": "much earlier than that", "session_id": 13418, "sequence_id": 152, "annotations": []}
{"role": "student", "content": "lol", "session_id": 13418, "sequence_id": 153, "annotations": []}
{"role": "student", "content": "oh", "session_id": 13418, "sequence_id": 154, "annotations": []}
{"role": "student", "content": "oki", "session_id": 13418, "sequence_id": 155, "annotations": []}
{"role": "volunteer", "content": "let's just say I'Westwood High School reunion", "session_id": 13418, "sequence_id": 156, "annotations": [{"pii_type": "SCHOOL", "surrogate": "Westwood High School", "start": 17, "end": 37}]}
{"role": "student", "content": "my birthday is in 9 days", "session_id": 13418, "sequence_id": 157, "annotations": []}
{"role": "student", "content": "but im not that excited", "session_id": 13418, "sequence_id": 158, "annotations": []}
{"role": "volunteer", "content": "what can you tell me about vertical angles?", "session_id": 13418, "sequence_id": 159, "annotations": []}
{"role": "student", "content": "anyway", "session_id": 13418, "sequence_id": 160, "annotations": []}
{"role": "student", "content": "yeah um nothing", "session_id": 13418, "sequence_id": 161, "annotations": []}
{"role": "student", "content": "cause idk abt them", "session_id": 13418, "sequence_id": 162, "annotations": []}
{"role": "volunteer", "content": "they are congruent", "session_id": 13418, "sequence_id": 163, "annotations": []}
{"role": "volunteer", "content": "what does that mean to you?", "session_id": 13418, "sequence_id": 164, "annotations": []}
{"role": "student", "content": "o yea", "session_id": 13418, "sequence_id": 165, "annotations": []}
{"role": "student", "content": "um they intersect", "session_id": 13418, "sequence_id": 166, "annotations": []}
{"role": "volunteer", "content": "no", "session_id": 13418, "sequence_id": 167, "annotations": []}
{"role": "volunteer", "content": "congruent means same", "session_id": 13418, "sequence_id": 168, "annotations": []}
{"role": "volunteer", "content": "measures are equal", "session_id": 13418, "sequence_id": 169, "annotations": []}
{"role": "student", "content": "oh yeah", "session_id": 13418, "sequence_id": 170, "annotations": []}
{"role": "student", "content": "vertical angles are the angles formed by two intersecting lines (they basically point at each other!)", "session_id": 13418, "sequence_id": 171, "annotations": []}
{"role": "volunteer", "content": "write an equation that says that", "session_id": 13418, "sequence_id": 172, "annotations": []}
{"role": "student", "content": "oh", "session_id": 13418, "sequence_id": 173, "annotations": []}
{"role": "student", "content": "um", "session_id": 13418, "sequence_id": 174, "annotations": []}
{"role": "student", "content": "ok", "session_id": 13418, "sequence_id": 175, "annotations": []}
{"role": "student", "content": "idk one", "session_id": 13418, "sequence_id": 176, "annotations": []}
{"role": "volunteer", "content": "you have two angles", "session_id": 13418, "sequence_id": 177, "annotations": []}
{"role": "student", "content": "ok", "session_id": 13418, "sequence_id": 178, "annotations": []}
{"role": "volunteer", "content": "you have an expression for each one", "session_id": 13418, "sequence_id": 179, "annotations": []}
{"role": "student", "content": "ok", "session_id": 13418, "sequence_id": 180, "annotations": []}
{"role": "volunteer", "content": "and they equal each other", "session_id": 13418, "sequence_id": 181, "annotations": []}
{"role": "student", "content": "ok", "session_id": 13418, "sequence_id": 182, "annotations": []}
{"role": "volunteer", "content": "say that in an equation", "session_id": 13418, "sequence_id": 183, "annotations": []}
{"role": "student", "content": "wait can you gimme a sec ill be right back", "session_id": 13418, "sequence_id": 184, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 13418, "sequence_id": 185, "annotations": []}
{"role": "student", "content": "ok im back", "session_id": 13418, "sequence_id": 186, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 13418, "sequence_id": 187, "annotations": []}
{"role": "volunteer", "content": "equation?", "session_id": 13418, "sequence_id": 188, "annotations": []}
{"role": "student", "content": "oh yeah that", "session_id": 13418, "sequence_id": 189, "annotations": []}
{"role": "volunteer", "content": "thing on left equals thing on right?", "session_id": 13418, "sequence_id": 190, "annotations": []}
{"role": "student", "content": "oh we are talking about congruent?", "session_id": 13418, "sequence_id": 191, "annotations": []}
{"role": "volunteer", "content": "uh, yeah. vertical angles and all", "session_id": 13418, "sequence_id": 192, "annotations": []}
{"role": "student", "content": "oh i though we were talking about what i said lol", "session_id": 13418, "sequence_id": 193, "annotations": []}
{"role": "volunteer", "content": "how about that equation?", "session_id": 13418, "sequence_id": 194, "annotations": []}
{"role": "student", "content": "do we have to divide 3 by x", "session_id": 13418, "sequence_id": 195, "annotations": []}
{"role": "volunteer", "content": "pretty simple, eh?", "session_id": 13418, "sequence_id": 196, "annotations": []}
{"role": "student", "content": "kinda", "session_id": 13418, "sequence_id": 197, "annotations": []}
{"role": "volunteer", "content": "we have to get rid of everything that is not x on the left side, starting with 2", "session_id": 13418, "sequence_id": 198, "annotations": []}
{"role": "student", "content": "ok", "session_id": 13418, "sequence_id": 199, "annotations": []}
{"role": "volunteer", "content": "no", "session_id": 13418, "sequence_id": 200, "annotations": []}
{"role": "volunteer", "content": "do you know the steps in solving an equation?", "session_id": 13418, "sequence_id": 201, "annotations": []}
{"role": "student", "content": "if there were parenthesis we would solve those first which is kinda what we are doin", "session_id": 13418, "sequence_id": 202, "annotations": []}
{"role": "volunteer", "content": "this is not about PEMDAS", "session_id": 13418, "sequence_id": 203, "annotations": []}
{"role": "student", "content": "oh", "session_id": 13418, "sequence_id": 204, "annotations": []}
{"role": "student", "content": "sorry", "session_id": 13418, "sequence_id": 205, "annotations": []}
{"role": "volunteer", "content": "solving an equation means isolating the variable (which is x here) on one side of the = sign", "session_id": 13418, "sequence_id": 206, "annotations": []}
{"role": "volunteer", "content": "which means getting rid of everything that is not x so that only x is left", "session_id": 13418, "sequence_id": 207, "annotations": []}
{"role": "volunteer", "content": "here we start with 2", "session_id": 13418, "sequence_id": 208, "annotations": []}
{"role": "volunteer", "content": "2 is added to 3x, right?", "session_id": 13418, "sequence_id": 209, "annotations": []}
{"role": "student", "content": "yeah so 5x?", "session_id": 13418, "sequence_id": 210, "annotations": []}
{"role": "volunteer", "content": "no, you can't combine them", "session_id": 13418, "sequence_id": 211, "annotations": []}
{"role": "student", "content": "oh", "session_id": 13418, "sequence_id": 212, "annotations": []}
{"role": "student", "content": "so 2x3x?", "session_id": 13418, "sequence_id": 213, "annotations": []}
{"role": "student", "content": "jk", "session_id": 13418, "sequence_id": 214, "annotations": []}
{"role": "volunteer", "content": "to \"get rid of\" something you always do the opposite math operation, and do it to both sides", "session_id": 13418, "sequence_id": 215, "annotations": []}
{"role": "volunteer", "content": "what is the opposite of adding", "session_id": 13418, "sequence_id": 216, "annotations": []}
{"role": "volunteer", "content": "?", "session_id": 13418, "sequence_id": 217, "annotations": []}
{"role": "student", "content": "so you subtract 2 from 62?", "session_id": 13418, "sequence_id": 218, "annotations": []}
{"role": "volunteer", "content": "you subtract 2 from both sides", "session_id": 13418, "sequence_id": 219, "annotations": []}
{"role": "student", "content": "yes! so it cancels out the two!", "session_id": 13418, "sequence_id": 220, "annotations": []}
{"role": "volunteer", "content": "write the next line", "session_id": 13418, "sequence_id": 221, "annotations": []}
{"role": "volunteer", "content": "yes! opposite operations always cancel", "session_id": 13418, "sequence_id": 222, "annotations": []}
{"role": "volunteer", "content": "3 is multiplied times x. what opposite operation will cancel 3?", "session_id": 13418, "sequence_id": 223, "annotations": []}
{"role": "student", "content": "now do we divide 3 by x", "session_id": 13418, "sequence_id": 224, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 13418, "sequence_id": 225, "annotations": []}
{"role": "volunteer", "content": "draw a line through the 3's. that's the most fun part of this.", "session_id": 13418, "sequence_id": 226, "annotations": []}
{"role": "volunteer", "content": "like I did with the 2's above it", "session_id": 13418, "sequence_id": 227, "annotations": []}
{"role": "volunteer", "content": "good", "session_id": 13418, "sequence_id": 228, "annotations": []}
{"role": "volunteer", "content": "all you have left now is x", "session_id": 13418, "sequence_id": 229, "annotations": []}
{"role": "volunteer", "content": "and x=20", "session_id": 13418, "sequence_id": 230, "annotations": []}
{"role": "volunteer", "content": "your math teacher (mom) should have taught you this", "session_id": 13418, "sequence_id": 231, "annotations": []}
{"role": "student", "content": "oh", "session_id": 13418, "sequence_id": 232, "annotations": []}
{"role": "student", "content": "she not really our teacher", "session_id": 13418, "sequence_id": 233, "annotations": []}
{"role": "student", "content": "we don't have math class", "session_id": 13418, "sequence_id": 234, "annotations": []}
{"role": "student", "content": "thats why we use upchive to do one question and learn from it", "session_id": 13418, "sequence_id": 235, "annotations": []}
{"role": "volunteer", "content": "doesn't sound like a good method to make sure you learn what you need about math to me", "session_id": 13418, "sequence_id": 236, "annotations": []}
{"role": "student", "content": "i know", "session_id": 13418, "sequence_id": 237, "annotations": []}
{"role": "student", "content": "Do you know what TCTC is?", "session_id": 13418, "sequence_id": 238, "annotations": []}
{"role": "volunteer", "content": "no", "session_id": 13418, "sequence_id": 239, "annotations": []}
{"role": "student", "content": "its like a trade school", "session_id": 13418, "sequence_id": 240, "annotations": []}
{"role": "volunteer", "content": "home trade school?", "session_id": 13418, "sequence_id": 241, "annotations": []}
{"role": "student", "content": "we were supposed to go but she keeps avoiding it", "session_id": 13418, "sequence_id": 242, "annotations": []}
{"role": "student", "content": "it's not at home its public", "session_id": 13418, "sequence_id": 243, "annotations": []}
{"role": "student", "content": "we agreed to do half year homeschool and half year TCTC", "session_id": 13418, "sequence_id": 244, "annotations": []}
{"role": "student", "content": "but everytime i bring it up she changes the subject", "session_id": 13418, "sequence_id": 245, "annotations": []}
{"role": "volunteer", "content": "isn't Freshman a bit young for trade school. Harmony High", "session_id": 13418, "sequence_id": 246, "annotations": [{"pii_type": "GRADE_LEVEL", "surrogate": "Freshman", "start": 6, "end": 14}, {"pii_type": "SCHOOL", "surrogate": "Harmony High", "start": 45, "end": 57}]}
{"role": "student", "content": "what do you mean 9th grade", "session_id": 13418, "sequence_id": 247, "annotations": [{"pii_type": "GRADE_LEVEL", "surrogate": "9th grade", "start": 17, "end": 26}]}
{"role": "student", "content": "im in Sophomore", "session_id": 13418, "sequence_id": 248, "annotations": [{"pii_type": "GRADE_LEVEL", "surrogate": "Sophomore", "start": 6, "end": 15}]}
{"role": "volunteer", "content": "about the session says you are in Junior", "session_id": 13418, "sequence_id": 249, "annotations": [{"pii_type": "GRADE_LEVEL", "surrogate": "Junior", "start": 34, "end": 40}]}
{"role": "student", "content": "no", "session_id": 13418, "sequence_id": 250, "annotations": []}
{"role": "volunteer", "content": "check your profile", "session_id": 13418, "sequence_id": 251, "annotations": []}
{"role": "volunteer", "content": "cause that's what the platform is telling me", "session_id": 13418, "sequence_id": 252, "annotations": []}
{"role": "student", "content": "oh its probably my mom", "session_id": 13418, "sequence_id": 253, "annotations": []}
{"role": "student", "content": "she created my account", "session_id": 13418, "sequence_id": 254, "annotations": []}
{"role": "volunteer", "content": "she doesn't want you to grow up", "session_id": 13418, "sequence_id": 255, "annotations": []}
{"role": "student", "content": "and she wants to put me in a lower math grade", "session_id": 13418, "sequence_id": 256, "annotations": []}
{"role": "volunteer", "content": "and once your grade is entered, it increases by 1 every year", "session_id": 13418, "sequence_id": 257, "annotations": []}
{"role": "student", "content": "she wants me to be \"the doctor of the family\"", "session_id": 13418, "sequence_id": 258, "annotations": []}
{"role": "volunteer", "content": "you'Harvard University, then go to medical school", "session_id": 13418, "sequence_id": 259, "annotations": [{"pii_type": "SCHOOL", "surrogate": "Harvard University", "start": 4, "end": 22}]}
{"role": "student", "content": "I don't want to sound rude but she wants me to choose the career she has always wanted", "session_id": 13418, "sequence_id": 260, "annotations": []}
{"role": "volunteer", "content": "that's not for her to decide", "session_id": 13418, "sequence_id": 261, "annotations": []}
{"role": "student", "content": "ik", "session_id": 13418, "sequence_id": 262, "annotations": []}
{"role": "volunteer", "content": "you have to live your own life", "session_id": 13418, "sequence_id": 263, "annotations": []}
{"role": "volunteer", "content": "Public School education, she should put you back in school", "session_id": 13418, "sequence_id": 264, "annotations": [{"pii_type": "SCHOOL", "surrogate": "Public School", "start": 0, "end": 13}]}
{"role": "student", "content": "I have wanted to be a police officer for almost 7 years now", "session_id": 13418, "sequence_id": 265, "annotations": []}
{"role": "student", "content": "i just cant imagine myself as a doctor", "session_id": 13418, "sequence_id": 266, "annotations": []}
{"role": "student", "content": "It just doesn't fit in place for me", "session_id": 13418, "sequence_id": 267, "annotations": []}
{"role": "volunteer", "content": "you won't be happy as a doctor if you want to be a police officer", "session_id": 13418, "sequence_id": 268, "annotations": []}
{"role": "student", "content": "i know", "session_id": 13418, "sequence_id": 269, "annotations": []}
{"role": "student", "content": "she says that its dangerous to be a police officer", "session_id": 13418, "sequence_id": 270, "annotations": []}
{"role": "volunteer", "content": "it is", "session_id": 13418, "sequence_id": 271, "annotations": []}
{"role": "volunteer", "content": "I wouldn't want to be one", "session_id": 13418, "sequence_id": 272, "annotations": []}
{"role": "student", "content": "i think she is just looking out for me", "session_id": 13418, "sequence_id": 273, "annotations": []}
{"role": "volunteer", "content": "I wouldn't' want my daughter to be one", "session_id": 13418, "sequence_id": 274, "annotations": []}
{"role": "student", "content": "and i appreciate it", "session_id": 13418, "sequence_id": 275, "annotations": []}
{"role": "volunteer", "content": "and would try to talk her out of it", "session_id": 13418, "sequence_id": 276, "annotations": []}
{"role": "volunteer", "content": "but wouldn't make her do something else if I failed to convince her", "session_id": 13418, "sequence_id": 277, "annotations": []}
{"role": "student", "content": "After my dad heard that i wanted to be a police officer he started watching these videos about currupt cops", "session_id": 13418, "sequence_id": 278, "annotations": []}
{"role": "volunteer", "content": "doctor is a much, much better career, but a much harder path to get there", "session_id": 13418, "sequence_id": 279, "annotations": []}
{"role": "student", "content": "and now he just makes fun of me", "session_id": 13418, "sequence_id": 280, "annotations": []}
{"role": "student", "content": "he is always sayin how when i become a cop that im going to pull over my brother and arrest him for stupid things", "session_id": 13418, "sequence_id": 281, "annotations": []}
{"role": "student", "content": "he just doesn't understand", "session_id": 13418, "sequence_id": 282, "annotations": []}
{"role": "student", "content": "im sorry", "session_id": 13418, "sequence_id": 283, "annotations": []}
{"role": "student", "content": "for putting all this on your shoulder", "session_id": 13418, "sequence_id": 284, "annotations": []}
{"role": "student", "content": "but thanks for the advice", "session_id": 13418, "sequence_id": 285, "annotations": []}
{"role": "volunteer", "content": "good luck dealing with your parents", "session_id": 13418, "sequence_id": 286, "annotations": []}
{"role": "student", "content": "I like to think my dad dosen't make fun of me i just think he doesn't want me to be like those people and he wants me to know the amendments", "session_id": 13418, "sequence_id": 287, "annotations": []}
{"role": "student", "content": "and follow the law", "session_id": 13418, "sequence_id": 288, "annotations": []}
{"role": "volunteer", "content": "there are corrupt cops, but they make up a very small percentage of cops, in general.", "session_id": 13418, "sequence_id": 289, "annotations": []}
{"role": "student", "content": "every officer that my mother has told i wanted to be a cop they always say how they can see that in me", "session_id": 13418, "sequence_id": 290, "annotations": []}
{"role": "student", "content": "I have just always looked up to cop i just think they are cool", "session_id": 13418, "sequence_id": 291, "annotations": []}
{"role": "student", "content": "i mean most of them of course", "session_id": 13418, "sequence_id": 292, "annotations": []}
{"role": "student", "content": "*cops", "session_id": 13418, "sequence_id": 293, "annotations": []}
{"role": "volunteer", "content": "I've got to go. I wish you luck.", "session_id": 13418, "sequence_id": 294, "annotations": []}
{"role": "student", "content": "byee thanks for everything", "session_id": 13418, "sequence_id": 295, "annotations": []}
{"role": "volunteer", "content": "don't worry, you still have a checkmark", "session_id": 13418, "sequence_id": 296, "annotations": []}
{"role": "student", "content": "thanks nice talking to you", "session_id": 13418, "sequence_id": 297, "annotations": []}
{"role": "volunteer", "content": "same", "session_id": 13418, "sequence_id": 298, "annotations": []}
{"role": "volunteer", "content": "bye", "session_id": 13418, "sequence_id": 299, "annotations": []}
{"role": "student", "content": "bye", "session_id": 13418, "sequence_id": 300, "annotations": []}
{"role": "volunteer", "content": "hi", "session_id": 13553, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "hi", "session_id": 13553, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "Do you prefer typing or speech", "session_id": 13553, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "either is OK", "session_id": 13553, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "ok", "session_id": 13553, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "Can we talk then?", "session_id": 13553, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "I just find it faster", "session_id": 13553, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "Hello", "session_id": 13553, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "Alright, yeah, go ahead. Uh, can you hear me now?", "session_id": 13553, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "Hello", "session_id": 13553, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "Oh yeah, I, I forgot to, uh, unmute, I think.", "session_id": 13553, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "Yeah, no worries. Uh, do you want to share the questions on the screen and uh we can go from there.", "session_id": 13553, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "Yeah, um, I had tutor before, but she didn't really get it.", "session_id": 13553, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "like", "session_id": 13553, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "it's, we have like a really weird", "session_id": 13553, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "way our school makes us do math, I guess.", "session_id": 13553, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "But", "session_id": 13553, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "So if it's a messy, but I mean, they were writing really quickly, to be honest.", "session_id": 13553, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "Which one are you doing? Are we doing the first one?", "session_id": 13553, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "Um", "session_id": 13553, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "or that's the only one", "session_id": 13553, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "first one or second one, either one that you've like they're the same concept, but", "session_id": 13553, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "it's like I just don't really get what's what I'm looking at.", "session_id": 13553, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "or like how to do this or like replicate it by myself.", "session_id": 13553, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "Where is the second one, sorry? Why is the", "session_id": 13553, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "product ACX. oh, that one, OK, got it.", "session_id": 13553, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "Me either one. I have a screenshots of both if you want the other one.", "session_id": 13553, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "OK OK.", "session_id": 13553, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "No, that's fine. Um, so let's, how do you want me to help you, like, uh, do you want me to walk you through how they solve this?", "session_id": 13553, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "Uh, I mean", "session_id": 13553, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "basically, like, yeah, I, I just don't really get like why they did some of the things", "session_id": 13553, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "and just title like", "session_id": 13553, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "did I like cut off for a second?", "session_id": 13553, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "or", "session_id": 13553, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 13553, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "No, no, you're good. I'm just trying to uh", "session_id": 13553, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "for this", "session_id": 13553, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "Yeah.", "session_id": 13553, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "on a page, so.", "session_id": 13553, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "I'm just kinda", "session_id": 13553, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "so this is about factorize. This is about factorization, right?", "session_id": 13553, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 13553, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "Yeah, so simple method here is", "session_id": 13553, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "mhm", "session_id": 13553, "sequence_id": 43, "annotations": []}
{"role": "student", "content": "No, but like they don't want us to use the quadratics. That's the thing. They want us to do it like the way that it's written there, and that's the problem. Like I've, like I, when I, I had to search up like the answer online because I just wasn't getting getting how to do it, but then I saw that they were using the quadratic or, I think that's what it is, right?", "session_id": 13553, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "And", "session_id": 13553, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 13553, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "yeah, and like", "session_id": 13553, "sequence_id": 47, "annotations": []}
{"role": "student", "content": "they just look super different from what we were doing in class, and they were like, oh, you have to use the table and this and that. I was like, what?", "session_id": 13553, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "There are two approaches to it. One is to find uh using the", "session_id": 13553, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "equation, right, where you're able to identify the value of uh X with the formula minus B+ or minus square root or b^2 and 40 see that one, right?", "session_id": 13553, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "Do you know that", "session_id": 13553, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "Hm.", "session_id": 13553, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "Have you, have you guys been taught that?", "session_id": 13553, "sequence_id": 53, "annotations": []}
{"role": "student", "content": "What, like the", "session_id": 13553, "sequence_id": 54, "annotations": []}
{"role": "student", "content": "standard for", "session_id": 13553, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "The formula to find the value of X.", "session_id": 13553, "sequence_id": 56, "annotations": []}
{"role": "student", "content": "Uh", "session_id": 13553, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "OK. All right, let me.", "session_id": 13553, "sequence_id": 58, "annotations": []}
{"role": "student", "content": "not necessarily. Like I don't really know if we have or not at this point, like, like formula, do you mean sorry?", "session_id": 13553, "sequence_id": 59, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 13553, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "let me go through this first one and then I'll, I can show you the alternate one also. So, uh, and stop me if there's not what you're looking for.", "session_id": 13553, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "So do you see the reion on the board already? That's typed in.", "session_id": 13553, "sequence_id": 62, "annotations": []}
{"role": "student", "content": "Uh", "session_id": 13553, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "I, I wrote, rewrote the equation basically.", "session_id": 13553, "sequence_id": 64, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 13553, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "here.", "session_id": 13553, "sequence_id": 66, "annotations": []}
{"role": "student", "content": "Mhm", "session_id": 13553, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 13553, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "Um, so this is the solids factorization, right? So you essentially are trying to break this down into two factors and make it a multiplication.", "session_id": 13553, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "Correct?", "session_id": 13553, "sequence_id": 70, "annotations": []}
{"role": "student", "content": "Uh, yeah, I think so cause that's at least what I think they maybe does do.", "session_id": 13553, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "Yeah, yeah", "session_id": 13553, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "So that's the idea here. Um, so whenever you see this, you can ignore the first portion of it, which is this section that I just typed. Do you see 3 X square and I type?", "session_id": 13553, "sequence_id": 73, "annotations": []}
{"role": "student", "content": "Mhm", "session_id": 13553, "sequence_id": 74, "annotations": []}
{"role": "volunteer", "content": "So you ignore that and then you think about how do I break this?", "session_id": 13553, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "12 down as a multiplication.", "session_id": 13553, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "so that", "session_id": 13553, "sequence_id": 77, "annotations": []}
{"role": "student", "content": "But, so, uh, hold on, like,", "session_id": 13553, "sequence_id": 78, "annotations": []}
{"role": "student", "content": "are you saying like we're just gonna ignore the 3X square for a little while or", "session_id": 13553, "sequence_id": 79, "annotations": []}
{"role": "student", "content": "cause like, are you saying like should we just find the factors of C?", "session_id": 13553, "sequence_id": 80, "annotations": []}
{"role": "student", "content": "So", "session_id": 13553, "sequence_id": 81, "annotations": []}
{"role": "volunteer", "content": "yeah, yeah, yeah. So we just hold, hold off on that.", "session_id": 13553, "sequence_id": 82, "annotations": []}
{"role": "volunteer", "content": "Um, the first portion.", "session_id": 13553, "sequence_id": 83, "annotations": []}
{"role": "student", "content": "OK", "session_id": 13553, "sequence_id": 84, "annotations": []}
{"role": "student", "content": "um, may you want me to like just start listing factors and stuff or?", "session_id": 13553, "sequence_id": 85, "annotations": []}
{"role": "student", "content": "I", "session_id": 13553, "sequence_id": 86, "annotations": []}
{"role": "volunteer", "content": "No, no, so, but the idea is that how does this become a sum?", "session_id": 13553, "sequence_id": 87, "annotations": []}
{"role": "volunteer", "content": "such that the product", "session_id": 13553, "sequence_id": 88, "annotations": []}
{"role": "volunteer", "content": "is 12", "session_id": 13553, "sequence_id": 89, "annotations": []}
{"role": "volunteer", "content": "You see what I'm saying", "session_id": 13553, "sequence_id": 90, "annotations": []}
{"role": "student", "content": "Uh, not really. Um", "session_id": 13553, "sequence_id": 91, "annotations": []}
{"role": "student", "content": "wait, so that bee becomes the sun so that the", "session_id": 13553, "sequence_id": 92, "annotations": []}
{"role": "student", "content": "product is 12 or?", "session_id": 13553, "sequence_id": 93, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 13553, "sequence_id": 94, "annotations": []}
{"role": "volunteer", "content": "exactly", "session_id": 13553, "sequence_id": 95, "annotations": []}
{"role": "student", "content": "uh", "session_id": 13553, "sequence_id": 96, "annotations": []}
{"role": "student", "content": "oh, so then that would just be 2 and 18, no?", "session_id": 13553, "sequence_id": 97, "annotations": []}
{"role": "student", "content": "Yeah.", "session_id": 13553, "sequence_id": 98, "annotations": []}
{"role": "student", "content": "Right. Actually, no", "session_id": 13553, "sequence_id": 99, "annotations": []}
{"role": "volunteer", "content": "No, so 43 is 12.", "session_id": 13553, "sequence_id": 100, "annotations": []}
{"role": "volunteer", "content": "Uh, hold on, something's off here.", "session_id": 13553, "sequence_id": 101, "annotations": []}
{"role": "student", "content": "Uh oh", "session_id": 13553, "sequence_id": 102, "annotations": []}
{"role": "student", "content": "Cause there's like two X values though, so.", "session_id": 13553, "sequence_id": 103, "annotations": []}
{"role": "student", "content": "I mean.", "session_id": 13553, "sequence_id": 104, "annotations": []}
{"role": "student", "content": "like there's no way to just find like", "session_id": 13553, "sequence_id": 105, "annotations": []}
{"role": "student", "content": "one value of X, I don't think.", "session_id": 13553, "sequence_id": 106, "annotations": []}
{"role": "student", "content": "Yeah, yeah", "session_id": 13553, "sequence_id": 107, "annotations": []}
{"role": "volunteer", "content": "No, there are two values that actually you need to find, but I am trying to figure out the best way to do this. It's like 12, 3:36.", "session_id": 13553, "sequence_id": 108, "annotations": []}
{"role": "volunteer", "content": "36, uh", "session_id": 13553, "sequence_id": 109, "annotations": []}
{"role": "volunteer", "content": "is 20. When X?", "session_id": 13553, "sequence_id": 110, "annotations": []}
{"role": "volunteer", "content": "Um", "session_id": 13553, "sequence_id": 111, "annotations": []}
{"role": "student", "content": "It's like", "session_id": 13553, "sequence_id": 112, "annotations": []}
{"role": "student", "content": "hm", "session_id": 13553, "sequence_id": 113, "annotations": []}
{"role": "volunteer", "content": "hold on, let, OK, before we jump into this, let me maybe, do you know the basic way of doing this? So for example,", "session_id": 13553, "sequence_id": 114, "annotations": []}
{"role": "volunteer", "content": "X + uh", "session_id": 13553, "sequence_id": 115, "annotations": []}
{"role": "volunteer", "content": "3", "session_id": 13553, "sequence_id": 116, "annotations": []}
{"role": "volunteer", "content": "you know this method, right? So 3 to 6. So if I say X", "session_id": 13553, "sequence_id": 117, "annotations": []}
{"role": "volunteer", "content": "right", "session_id": 13553, "sequence_id": 118, "annotations": []}
{"role": "student", "content": "were you writing that?", "session_id": 13553, "sequence_id": 119, "annotations": []}
{"role": "volunteer", "content": "plus 6, you see this?", "session_id": 13553, "sequence_id": 120, "annotations": []}
{"role": "student", "content": "Uh, oh yeah, no I see it's OK.", "session_id": 13553, "sequence_id": 121, "annotations": []}
{"role": "student", "content": "Um", "session_id": 13553, "sequence_id": 122, "annotations": []}
{"role": "student", "content": "not really.", "session_id": 13553, "sequence_id": 123, "annotations": []}
{"role": "volunteer", "content": "So do you know how to solve this? Like, let me just type it properly, yeah. Do you notice all this", "session_id": 13553, "sequence_id": 124, "annotations": []}
{"role": "student", "content": "Uh", "session_id": 13553, "sequence_id": 125, "annotations": []}
{"role": "volunteer", "content": "How to factorize this. So this is all like this, so you do X to the part 2.", "session_id": 13553, "sequence_id": 126, "annotations": []}
{"role": "volunteer", "content": "then you do + 3X minus 2 X.", "session_id": 13553, "sequence_id": 127, "annotations": []}
{"role": "volunteer", "content": "and then", "session_id": 13553, "sequence_id": 128, "annotations": []}
{"role": "volunteer", "content": "the multiplication of", "session_id": 13553, "sequence_id": 129, "annotations": []}
{"role": "volunteer", "content": "+ 3", "session_id": 13553, "sequence_id": 130, "annotations": []}
{"role": "volunteer", "content": "multiplied by -2.", "session_id": 13553, "sequence_id": 131, "annotations": []}
{"role": "volunteer", "content": "Let me put a dot so that it doesn't seem like two multiplications. You see this now?", "session_id": 13553, "sequence_id": 132, "annotations": []}
{"role": "student", "content": "Mhm", "session_id": 13553, "sequence_id": 133, "annotations": []}
{"role": "volunteer", "content": "So what is happening is 3 multi blood by 22 is -6, and 33 x minus 2 x is X.", "session_id": 13553, "sequence_id": 134, "annotations": []}
{"role": "student", "content": "Me what? Wait, hold on. OK, so", "session_id": 13553, "sequence_id": 135, "annotations": []}
{"role": "student", "content": "OK, but then what was the point of that one.", "session_id": 13553, "sequence_id": 136, "annotations": []}
{"role": "student", "content": "Alex goes off", "session_id": 13553, "sequence_id": 137, "annotations": [{"pii_type": "PERSON", "surrogate": "Alex", "start": 0, "end": 4}]}
{"role": "volunteer", "content": "Oh, sorry. So what I'm saying is that you break this down, the X in such a way that 3x minus 2 X gives you the X, correct?", "session_id": 13553, "sequence_id": 138, "annotations": []}
{"role": "student", "content": "Mhm", "session_id": 13553, "sequence_id": 139, "annotations": []}
{"role": "volunteer", "content": "We found the factors of 6, such that the addition gives you the coefficient for the X and the multiplication gives you uh the coefficient, the", "session_id": 13553, "sequence_id": 140, "annotations": []}
{"role": "volunteer", "content": "the", "session_id": 13553, "sequence_id": 141, "annotations": []}
{"role": "volunteer", "content": "the last C number basically.", "session_id": 13553, "sequence_id": 142, "annotations": []}
{"role": "student", "content": "Mhm", "session_id": 13553, "sequence_id": 143, "annotations": []}
{"role": "volunteer", "content": "right? So when you do this, you are able to break this into two factors, which is", "session_id": 13553, "sequence_id": 144, "annotations": []}
{"role": "volunteer", "content": "X.", "session_id": 13553, "sequence_id": 145, "annotations": []}
{"role": "volunteer", "content": "multiplied by", "session_id": 13553, "sequence_id": 146, "annotations": []}
{"role": "student", "content": "Oh, so you're doing like the 2 is in common, right?", "session_id": 13553, "sequence_id": 147, "annotations": []}
{"role": "volunteer", "content": "X + 3. Correct, yeah, yeah, you're right.", "session_id": 13553, "sequence_id": 148, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 13553, "sequence_id": 149, "annotations": []}
{"role": "volunteer", "content": "And then you take the -2 out.", "session_id": 13553, "sequence_id": 150, "annotations": []}
{"role": "volunteer", "content": "and then you'll get the X + 3 inside.", "session_id": 13553, "sequence_id": 151, "annotations": []}
{"role": "volunteer", "content": "So then you have two factors, X minus 2 and X + 3. So X is equal to 2 or X is equal to -3. Does that make sense?", "session_id": 13553, "sequence_id": 152, "annotations": []}
{"role": "student", "content": "No, I got a second.", "session_id": 13553, "sequence_id": 153, "annotations": []}
{"role": "student", "content": "uh", "session_id": 13553, "sequence_id": 154, "annotations": []}
{"role": "student", "content": "um, but.", "session_id": 13553, "sequence_id": 155, "annotations": []}
{"role": "student", "content": "um", "session_id": 13553, "sequence_id": 156, "annotations": []}
{"role": "student", "content": "not", "session_id": 13553, "sequence_id": 157, "annotations": []}
{"role": "volunteer", "content": "Did you, did you understand that or, or slow down.", "session_id": 13553, "sequence_id": 158, "annotations": []}
{"role": "student", "content": "no, sorry.", "session_id": 13553, "sequence_id": 159, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 13553, "sequence_id": 160, "annotations": []}
{"role": "student", "content": "OK", "session_id": 13553, "sequence_id": 161, "annotations": []}
{"role": "volunteer", "content": "So what is happening here? Um, so because I'm, I'm sharing this because this should will make the other one easier for you. That's why I'm trying to break down here, OK? And then we'll go to that one.", "session_id": 13553, "sequence_id": 162, "annotations": []}
{"role": "volunteer", "content": "Uh", "session_id": 13553, "sequence_id": 163, "annotations": []}
{"role": "volunteer", "content": "so do, should I write the next step then?", "session_id": 13553, "sequence_id": 164, "annotations": []}
{"role": "student", "content": "Um, could you like explain", "session_id": 13553, "sequence_id": 165, "annotations": []}
{"role": "volunteer", "content": "Are, are you on the same page to? I'm sorry, go ahead.", "session_id": 13553, "sequence_id": 166, "annotations": []}
{"role": "student", "content": "could you explain like the third line, like", "session_id": 13553, "sequence_id": 167, "annotations": []}
{"role": "student", "content": "pretty much", "session_id": 13553, "sequence_id": 168, "annotations": []}
{"role": "volunteer", "content": "The third line? OK, sure, yeah, the third line, right? So what we're doing is", "session_id": 13553, "sequence_id": 169, "annotations": []}
{"role": "volunteer", "content": "let me add a new line, so maybe that's easier than, you know, X is X, correct?", "session_id": 13553, "sequence_id": 170, "annotations": []}
{"role": "student", "content": "Mhm.", "session_id": 13553, "sequence_id": 171, "annotations": []}
{"role": "volunteer", "content": "So what I did here is, if you multiply these two axes, you'll get the X X and X, right?", "session_id": 13553, "sequence_id": 172, "annotations": []}
{"role": "volunteer", "content": "The same thing as that", "session_id": 13553, "sequence_id": 173, "annotations": []}
{"role": "student", "content": "Mhm", "session_id": 13553, "sequence_id": 174, "annotations": []}
{"role": "volunteer", "content": "with me", "session_id": 13553, "sequence_id": 175, "annotations": []}
{"role": "student", "content": "Mm", "session_id": 13553, "sequence_id": 176, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 13553, "sequence_id": 177, "annotations": []}
{"role": "volunteer", "content": "And I'm putting dots. That doesn't mean it's decimal, it's just multiplication.", "session_id": 13553, "sequence_id": 178, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 13553, "sequence_id": 179, "annotations": []}
{"role": "volunteer", "content": "OK. So this is X and if you multiply this 3 with that X, you get 3 X, correct?", "session_id": 13553, "sequence_id": 180, "annotations": []}
{"role": "student", "content": "Uh, yeah, but like", "session_id": 13553, "sequence_id": 181, "annotations": []}
{"role": "student", "content": "aren't you doing X basically times", "session_id": 13553, "sequence_id": 182, "annotations": []}
{"role": "student", "content": "X cause where does the other X go?", "session_id": 13553, "sequence_id": 183, "annotations": []}
{"role": "volunteer", "content": "Which one, sorry? Are you, are you pointing to this?", "session_id": 13553, "sequence_id": 184, "annotations": []}
{"role": "student", "content": "Like", "session_id": 13553, "sequence_id": 185, "annotations": []}
{"role": "student", "content": "is there like a pointer on this, like you can see.", "session_id": 13553, "sequence_id": 186, "annotations": []}
{"role": "volunteer", "content": "Yeah, yeah, I can see, I can see your name on the pointer.", "session_id": 13553, "sequence_id": 187, "annotations": []}
{"role": "student", "content": "OK, OK. So, I know like this is X times X.", "session_id": 13553, "sequence_id": 188, "annotations": []}
{"role": "student", "content": "but I don't know like how this is", "session_id": 13553, "sequence_id": 189, "annotations": []}
{"role": "student", "content": "broken up. Like I know like this, basically.", "session_id": 13553, "sequence_id": 190, "annotations": []}
{"role": "student", "content": "these two", "session_id": 13553, "sequence_id": 191, "annotations": []}
{"role": "student", "content": "convert into", "session_id": 13553, "sequence_id": 192, "annotations": []}
{"role": "volunteer", "content": "Oh, this means 3 daughters. Do you know that?", "session_id": 13553, "sequence_id": 193, "annotations": []}
{"role": "student", "content": "Yeah, I know, I don't means that 3 times X, but", "session_id": 13553, "sequence_id": 194, "annotations": []}
{"role": "volunteer", "content": "Correct, correct", "session_id": 13553, "sequence_id": 195, "annotations": []}
{"role": "student", "content": "uh, like", "session_id": 13553, "sequence_id": 196, "annotations": []}
{"role": "student", "content": "why does it go to X + 3.", "session_id": 13553, "sequence_id": 197, "annotations": []}
{"role": "student", "content": "or", "session_id": 13553, "sequence_id": 198, "annotations": []}
{"role": "volunteer", "content": "OK, let me show it. So it's 33 x, right? Let me write it. Correct?", "session_id": 13553, "sequence_id": 199, "annotations": []}
{"role": "student", "content": "Oh, wait, wait, wait, no, no, no, yeah, I, I see that like it's cause I mean if you just think about it, you can, it, this just becomes X^2 + 3 x, if you think about it, yeah, yeah.", "session_id": 13553, "sequence_id": 200, "annotations": []}
{"role": "volunteer", "content": "Correct. Correct, correct. Exactly, you got it.", "session_id": 13553, "sequence_id": 201, "annotations": []}
{"role": "volunteer", "content": "And the same where I now, now I know one factor is explicitly already, right? Because that's what I got.", "session_id": 13553, "sequence_id": 202, "annotations": []}
{"role": "student", "content": "Mhm", "session_id": 13553, "sequence_id": 203, "annotations": []}
{"role": "volunteer", "content": "So essentially, you need to make sure how do you get the other one is X + 3. So if you take -2 out as common.", "session_id": 13553, "sequence_id": 204, "annotations": []}
{"role": "volunteer", "content": "then you see this is minus to X and this is", "session_id": 13553, "sequence_id": 205, "annotations": []}
{"role": "volunteer", "content": "-6 + 3 minus 2.", "session_id": 13553, "sequence_id": 206, "annotations": []}
{"role": "volunteer", "content": "Oops", "session_id": 13553, "sequence_id": 207, "annotations": []}
{"role": "volunteer", "content": "I got something", "session_id": 13553, "sequence_id": 208, "annotations": []}
{"role": "student", "content": "OK. And I like consistently do this without like, like I know how to work back from the last form, but I don't know how to work to it exactly. Or at least not like quickly.", "session_id": 13553, "sequence_id": 209, "annotations": []}
{"role": "volunteer", "content": "All right, so we go there, that's the next step, that's the next step.", "session_id": 13553, "sequence_id": 210, "annotations": []}
{"role": "volunteer", "content": "Uh, so way of doing this is, do you know factorization of numbers like you, how do you do this? So let me just try it and, and then you can tell me. So this is 6", "session_id": 13553, "sequence_id": 211, "annotations": []}
{"role": "volunteer", "content": "correct?", "session_id": 13553, "sequence_id": 212, "annotations": []}
{"role": "student", "content": "Mhm.", "session_id": 13553, "sequence_id": 213, "annotations": []}
{"role": "volunteer", "content": "You take a prime number. So prime number, you know, 2357, stuff like that, right?", "session_id": 13553, "sequence_id": 214, "annotations": []}
{"role": "student", "content": "mhm", "session_id": 13553, "sequence_id": 215, "annotations": []}
{"role": "volunteer", "content": "So you just say, OK, my first smallest brand number is 2. Good.", "session_id": 13553, "sequence_id": 216, "annotations": []}
{"role": "volunteer", "content": "Then I get a 3 year, correct?", "session_id": 13553, "sequence_id": 217, "annotations": []}
{"role": "student", "content": "Mhm", "session_id": 13553, "sequence_id": 218, "annotations": []}
{"role": "volunteer", "content": "What's my next plan number? 3", "session_id": 13553, "sequence_id": 219, "annotations": []}
{"role": "volunteer", "content": "I got a 1 here and I stop.", "session_id": 13553, "sequence_id": 220, "annotations": []}
{"role": "volunteer", "content": "So now you know your two factors of these 3 and 2.", "session_id": 13553, "sequence_id": 221, "annotations": []}
{"role": "volunteer", "content": "You just sort of walk signs now.", "session_id": 13553, "sequence_id": 222, "annotations": []}
{"role": "student", "content": "Do what? could you", "session_id": 13553, "sequence_id": 223, "annotations": []}
{"role": "student", "content": "All right, so why are we doing uh", "session_id": 13553, "sequence_id": 224, "annotations": []}
{"role": "student", "content": "that", "session_id": 13553, "sequence_id": 225, "annotations": []}
{"role": "student", "content": "I mean", "session_id": 13553, "sequence_id": 226, "annotations": []}
{"role": "volunteer", "content": "Why are you doing that? So you look at this number 6 here, um.", "session_id": 13553, "sequence_id": 227, "annotations": []}
{"role": "volunteer", "content": "you know, this number 6 here.", "session_id": 13553, "sequence_id": 228, "annotations": []}
{"role": "volunteer", "content": "in the equation, right", "session_id": 13553, "sequence_id": 229, "annotations": []}
{"role": "student", "content": "uh-huh", "session_id": 13553, "sequence_id": 230, "annotations": []}
{"role": "volunteer", "content": "So that's the reason we're doing 6. Is that the question? Why did we pick 6?", "session_id": 13553, "sequence_id": 231, "annotations": []}
{"role": "student", "content": "Yeah, but like, why are we finding then the prime number of 6.", "session_id": 13553, "sequence_id": 232, "annotations": []}
{"role": "student", "content": "or like the prime", "session_id": 13553, "sequence_id": 233, "annotations": []}
{"role": "volunteer", "content": "You, you could use anything but Prime makes it easier to search for them.", "session_id": 13553, "sequence_id": 234, "annotations": []}
{"role": "volunteer", "content": "I mean, if you, if you have a better way of doing it, we can do 6 multiplied by 1 S 6, but then it won't give you the factor of, you know, so let's do that. Let me try, try doing the other one.", "session_id": 13553, "sequence_id": 235, "annotations": []}
{"role": "student", "content": "Oh, so you're doing, like you have like for me when I look, what I'm looking at is like it's 2 and then basically that corresponds with 6.", "session_id": 13553, "sequence_id": 236, "annotations": []}
{"role": "student", "content": "I that", "session_id": 13553, "sequence_id": 237, "annotations": []}
{"role": "volunteer", "content": "Yeah, yeah, you can think of it that way, but you know, it, it works for this problem. It may not work everywhere.", "session_id": 13553, "sequence_id": 238, "annotations": []}
{"role": "student", "content": "Yeah, like you don't, you have to change uh 6 or", "session_id": 13553, "sequence_id": 239, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 13553, "sequence_id": 240, "annotations": []}
{"role": "student", "content": "Mhm.", "session_id": 13553, "sequence_id": 241, "annotations": []}
{"role": "volunteer", "content": "So it, it may get uh complicated. So let's take this for example, the problem that we had in hand.", "session_id": 13553, "sequence_id": 242, "annotations": []}
{"role": "volunteer", "content": "So do you, you understand prime factors, right? Is this very clear, uh, the one here in this", "session_id": 13553, "sequence_id": 243, "annotations": []}
{"role": "student", "content": "uh", "session_id": 13553, "sequence_id": 244, "annotations": []}
{"role": "student", "content": "yeah, but like you could also use like for 6 you could do 1", "session_id": 13553, "sequence_id": 245, "annotations": []}
{"role": "student", "content": "well no", "session_id": 13553, "sequence_id": 246, "annotations": []}
{"role": "student", "content": "one is in prime, right", "session_id": 13553, "sequence_id": 247, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 13553, "sequence_id": 248, "annotations": []}
{"role": "volunteer", "content": "Yeah, you could do 1 and 6, for example, if I draw this one more time. Let's do this, uh.", "session_id": 13553, "sequence_id": 249, "annotations": []}
{"role": "volunteer", "content": "I could do it this way, I call it.", "session_id": 13553, "sequence_id": 250, "annotations": []}
{"role": "student", "content": "Like 2 and 3, right", "session_id": 13553, "sequence_id": 251, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 13553, "sequence_id": 252, "annotations": []}
{"role": "volunteer", "content": "Yeah, yeah. Yeah, it's 2 and 3, right? That's what we're doing 2 and 3.", "session_id": 13553, "sequence_id": 253, "annotations": []}
{"role": "volunteer", "content": "Mhm", "session_id": 13553, "sequence_id": 254, "annotations": []}
{"role": "student", "content": "So then the two in like the 3 that's on the bottom goes basically to the 6 and it's connected to it.", "session_id": 13553, "sequence_id": 255, "annotations": []}
{"role": "student", "content": "or is it connected just to the three basically.", "session_id": 13553, "sequence_id": 256, "annotations": []}
{"role": "student", "content": "Like,", "session_id": 13553, "sequence_id": 257, "annotations": []}
{"role": "student", "content": "Hm.", "session_id": 13553, "sequence_id": 258, "annotations": []}
{"role": "volunteer", "content": "No, no, so this will be a factorization. What factorization means is, uh, so let me explain what is done here. So suppose if I have 27, for example, right? So does that, is it duzzled by 2? No, right?", "session_id": 13553, "sequence_id": 259, "annotations": []}
{"role": "student", "content": "So 3", "session_id": 13553, "sequence_id": 260, "annotations": []}
{"role": "volunteer", "content": "It's 3. So you do 3", "session_id": 13553, "sequence_id": 261, "annotations": []}
{"role": "volunteer", "content": "927, correct?", "session_id": 13553, "sequence_id": 262, "annotations": []}
{"role": "volunteer", "content": "Three multivitamins 27, correct?", "session_id": 13553, "sequence_id": 263, "annotations": []}
{"role": "student", "content": "Yeah, but why do you, so the way you're doing that is like you're multiplying", "session_id": 13553, "sequence_id": 264, "annotations": []}
{"role": "student", "content": "you're putting the number that's multiplied by", "session_id": 13553, "sequence_id": 265, "annotations": []}
{"role": "student", "content": "below the number you're getting.", "session_id": 13553, "sequence_id": 266, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 13553, "sequence_id": 267, "annotations": []}
{"role": "student", "content": "and then you're finding the factors of that number you multiply by.", "session_id": 13553, "sequence_id": 268, "annotations": []}
{"role": "volunteer", "content": "Then I, yes, correct", "session_id": 13553, "sequence_id": 269, "annotations": []}
{"role": "volunteer", "content": "That's a method of finding factors.", "session_id": 13553, "sequence_id": 270, "annotations": []}
{"role": "student", "content": "OK", "session_id": 13553, "sequence_id": 271, "annotations": []}
{"role": "volunteer", "content": "So you could do this like 3 and then 3 is 9, correct? These two multiply gives you 9.", "session_id": 13553, "sequence_id": 272, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 13553, "sequence_id": 273, "annotations": []}
{"role": "volunteer", "content": "and then 3, multiplied by 1.", "session_id": 13553, "sequence_id": 274, "annotations": []}
{"role": "volunteer", "content": "uses that 3", "session_id": 13553, "sequence_id": 275, "annotations": []}
{"role": "volunteer", "content": "So the factors of 27 are 3 by 3, by 3.", "session_id": 13553, "sequence_id": 276, "annotations": []}
{"role": "student", "content": "Oh, so like the smallest, so that's the smallest possible thing.", "session_id": 13553, "sequence_id": 277, "annotations": []}
{"role": "volunteer", "content": "Correct, the smallest possible you start and you start with something that's smallest but prime.", "session_id": 13553, "sequence_id": 278, "annotations": []}
{"role": "student", "content": "OK. But then couldn't, and then this could also work though if you", "session_id": 13553, "sequence_id": 279, "annotations": []}
{"role": "student", "content": "just", "session_id": 13553, "sequence_id": 280, "annotations": []}
{"role": "student", "content": "like with any other number, right?", "session_id": 13553, "sequence_id": 281, "annotations": []}
{"role": "volunteer", "content": "Yeah, it can work any number that has factors. So sometimes, for example, if this is, this is 29 for some reason. It won't work, right?", "session_id": 13553, "sequence_id": 282, "annotations": []}
{"role": "student", "content": "Yeah, but there won't be any factors and it'll just be 29.", "session_id": 13553, "sequence_id": 283, "annotations": []}
{"role": "volunteer", "content": "Exactly, that's fine, correct. Exactly.", "session_id": 13553, "sequence_id": 284, "annotations": []}
{"role": "student", "content": "And then this goes into the problem so that, I mean, I know it's like to find the factors, but like,", "session_id": 13553, "sequence_id": 285, "annotations": []}
{"role": "volunteer", "content": "Yeah, the idea is you're able to find the factors for 6 here quickly, but you know, this was easy, but if it's a complicated one.", "session_id": 13553, "sequence_id": 286, "annotations": []}
{"role": "student", "content": "oh, wait, wait, wait. So, the reason we found the factors was just so that we know what numbers we can multiaby to get the 6.", "session_id": 13553, "sequence_id": 287, "annotations": []}
{"role": "student", "content": "OK", "session_id": 13553, "sequence_id": 288, "annotations": []}
{"role": "volunteer", "content": "Correct, exactly. X gives you 6, and then you use the signs here, minus and plus to get us this number, which is an addition, right? So if I use both as positive, 3 + 2 is 5.", "session_id": 13553, "sequence_id": 289, "annotations": []}
{"role": "volunteer", "content": "So that doesn't work", "session_id": 13553, "sequence_id": 290, "annotations": []}
{"role": "volunteer", "content": "If it is negative, then it has to be -3 and +2.", "session_id": 13553, "sequence_id": 291, "annotations": []}
{"role": "volunteer", "content": "Correct?", "session_id": 13553, "sequence_id": 292, "annotations": []}
{"role": "student", "content": "Oh I did. So, we, why are we doing the addition and it's", "session_id": 13553, "sequence_id": 293, "annotations": []}
{"role": "volunteer", "content": "Because if you add", "session_id": 13553, "sequence_id": 294, "annotations": []}
{"role": "volunteer", "content": "suppose if we add 2 and 3.", "session_id": 13553, "sequence_id": 295, "annotations": []}
{"role": "volunteer", "content": "what do we get here?", "session_id": 13553, "sequence_id": 296, "annotations": []}
{"role": "student", "content": "you would get 5, but like.", "session_id": 13553, "sequence_id": 297, "annotations": []}
{"role": "volunteer", "content": "Right, but we don't want the 5, right?", "session_id": 13553, "sequence_id": 298, "annotations": []}
{"role": "volunteer", "content": "What you want is plus one", "session_id": 13553, "sequence_id": 299, "annotations": []}
{"role": "student", "content": "Oh, wait, wait.", "session_id": 13553, "sequence_id": 300, "annotations": []}
{"role": "volunteer", "content": "You want the one here, right", "session_id": 13553, "sequence_id": 301, "annotations": []}
{"role": "student", "content": "01, like you want a one in front of, like, do you, like, you want a 1 for B, right?", "session_id": 13553, "sequence_id": 302, "annotations": []}
{"role": "volunteer", "content": "Correct. You want to be equal to 1, exactly.", "session_id": 13553, "sequence_id": 303, "annotations": []}
{"role": "student", "content": "Because that matches the equation.", "session_id": 13553, "sequence_id": 304, "annotations": []}
{"role": "volunteer", "content": "Exactly", "session_id": 13553, "sequence_id": 305, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 13553, "sequence_id": 306, "annotations": []}
{"role": "volunteer", "content": "So you have to think in such a way that how do I take this, now I found a factor that multiplies to 6, that is 2 and 3. We know that. So now the next step is, after we have checked for this, you have to check for this one. OK, now I want something that adds to one. So what can I add to one? If, if it is both positive, it adds to 5.", "session_id": 13553, "sequence_id": 307, "annotations": []}
{"role": "volunteer", "content": "If it is", "session_id": 13553, "sequence_id": 308, "annotations": []}
{"role": "student", "content": "Should we do mm", "session_id": 13553, "sequence_id": 309, "annotations": []}
{"role": "volunteer", "content": "yeah, but", "session_id": 13553, "sequence_id": 310, "annotations": []}
{"role": "student", "content": "I mean, you would do a 3 minus 2.", "session_id": 13553, "sequence_id": 311, "annotations": []}
{"role": "volunteer", "content": "These are your three options, right?", "session_id": 13553, "sequence_id": 312, "annotations": []}
{"role": "student", "content": "Yeah, OK, so you just figure out which one matches to get what I want.", "session_id": 13553, "sequence_id": 313, "annotations": []}
{"role": "volunteer", "content": "Which one works for you. Correct, correct. So this one works for you basically at this point here. + 3 minus 2.", "session_id": 13553, "sequence_id": 314, "annotations": []}
{"role": "student", "content": "OK, some something similar than in the past where I just find the factors", "session_id": 13553, "sequence_id": 315, "annotations": []}
{"role": "student", "content": "like if you scroll down", "session_id": 13553, "sequence_id": 316, "annotations": []}
{"role": "student", "content": "um, oh wait, I don't actually have it on this one, but like I would add the different values together and at least on like later assignments I would do like 1 minus 36, 1 + 36, and then 36 minus 1.", "session_id": 13553, "sequence_id": 317, "annotations": []}
{"role": "student", "content": "to get the 3 versions", "session_id": 13553, "sequence_id": 318, "annotations": []}
{"role": "volunteer", "content": "Yeah, yeah, that works. Yeah, those are the simpler versions. I think now it's getting complicated.", "session_id": 13553, "sequence_id": 319, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 13553, "sequence_id": 320, "annotations": []}
{"role": "volunteer", "content": "So coming back to this one, let me just delete what I've written here.", "session_id": 13553, "sequence_id": 321, "annotations": []}
{"role": "volunteer", "content": "OK, let me just uh get fixed this. All right, there you go. So what now, now that we understand the the things on the right. Let me just, uh, maybe add one more color on the thing on the right.", "session_id": 13553, "sequence_id": 322, "annotations": []}
{"role": "volunteer", "content": "So what you're essentially doing is you're also solving for the one which is here. So you see this?", "session_id": 13553, "sequence_id": 323, "annotations": []}
{"role": "volunteer", "content": "You understand there is a one ahead of X, right?", "session_id": 13553, "sequence_id": 324, "annotations": []}
{"role": "volunteer", "content": "Like there's a one ahead of you", "session_id": 13553, "sequence_id": 325, "annotations": []}
{"role": "student", "content": "Uh, yeah, that's A, no?", "session_id": 13553, "sequence_id": 326, "annotations": []}
{"role": "volunteer", "content": "Correct? Yeah, that's A. So A is equal to 1 and then C is equal to 6, and you always turn to the factors of a multiplied by C.", "session_id": 13553, "sequence_id": 327, "annotations": []}
{"role": "student", "content": "Wait, wait, uh, C would be, why is it 6 or 6. It's just like", "session_id": 13553, "sequence_id": 328, "annotations": []}
{"role": "student", "content": "is this the standard like equation just minus 6 or", "session_id": 13553, "sequence_id": 329, "annotations": []}
{"role": "volunteer", "content": "It could, yeah, it is -6. Let's see equal to -6. You're right.", "session_id": 13553, "sequence_id": 330, "annotations": []}
{"role": "student", "content": "like minus, I mean", "session_id": 13553, "sequence_id": 331, "annotations": []}
{"role": "volunteer", "content": "C is -6, C is equal.", "session_id": 13553, "sequence_id": 332, "annotations": []}
{"role": "student", "content": "uh or like does it just not matter that much?", "session_id": 13553, "sequence_id": 333, "annotations": []}
{"role": "volunteer", "content": "No, no, let's, let's stick to that. That's fine.", "session_id": 13553, "sequence_id": 334, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 13553, "sequence_id": 335, "annotations": []}
{"role": "volunteer", "content": "All right. Uh, my, so similarly, you need to find out what's here. A is equal to", "session_id": 13553, "sequence_id": 336, "annotations": []}
{"role": "volunteer", "content": "3, correct", "session_id": 13553, "sequence_id": 337, "annotations": []}
{"role": "student", "content": "All right. Also, is it like, is it like A times C equals B or?", "session_id": 13553, "sequence_id": 338, "annotations": []}
{"role": "volunteer", "content": "Yeah, so you need to do the, what you did the factor for 6 years is A times C.", "session_id": 13553, "sequence_id": 339, "annotations": []}
{"role": "volunteer", "content": "So you need to do A times C is 12 times 3.", "session_id": 13553, "sequence_id": 340, "annotations": []}
{"role": "volunteer", "content": "So we need factors of 36.", "session_id": 13553, "sequence_id": 341, "annotations": []}
{"role": "student", "content": "No, wait. So A times C is B, right?", "session_id": 13553, "sequence_id": 342, "annotations": []}
{"role": "volunteer", "content": "No, no, not 8 times is", "session_id": 13553, "sequence_id": 343, "annotations": []}
{"role": "volunteer", "content": "not going to be", "session_id": 13553, "sequence_id": 344, "annotations": []}
{"role": "student", "content": "OK, so", "session_id": 13553, "sequence_id": 345, "annotations": []}
{"role": "student", "content": "that it's just saying that earlier. OK. Well, um", "session_id": 13553, "sequence_id": 346, "annotations": []}
{"role": "student", "content": "yeah,", "session_id": 13553, "sequence_id": 347, "annotations": []}
{"role": "student", "content": "OK", "session_id": 13553, "sequence_id": 348, "annotations": []}
{"role": "volunteer", "content": "Hidden is not going to be, so did I say that, uh, yeah, no, no, I, I didn't mean to say that. 8 times he is not equal to B. What, what, what is happening is the factors have to add up to give you the bean.", "session_id": 13553, "sequence_id": 349, "annotations": []}
{"role": "volunteer", "content": "like you did here, right", "session_id": 13553, "sequence_id": 350, "annotations": []}
{"role": "volunteer", "content": "Sure.", "session_id": 13553, "sequence_id": 351, "annotations": []}
{"role": "student", "content": "factors to add up to you be. OK, so then, yeah, like 3 minus 2.", "session_id": 13553, "sequence_id": 352, "annotations": []}
{"role": "volunteer", "content": "Got it, got", "session_id": 13553, "sequence_id": 353, "annotations": []}
{"role": "student", "content": "And then", "session_id": 13553, "sequence_id": 354, "annotations": []}
{"role": "student", "content": "OK, yeah.", "session_id": 13553, "sequence_id": 355, "annotations": []}
{"role": "volunteer", "content": "So if you take 36 and apply the same method we did, so the smallest prime number is 2, correct?", "session_id": 13553, "sequence_id": 356, "annotations": []}
{"role": "student", "content": "And we're doing 36 because", "session_id": 13553, "sequence_id": 357, "annotations": []}
{"role": "student", "content": "oh yeah, so we're just multiplying A times c to get 36.", "session_id": 13553, "sequence_id": 358, "annotations": []}
{"role": "volunteer", "content": "Correct.", "session_id": 13553, "sequence_id": 359, "annotations": []}
{"role": "student", "content": "Uh", "session_id": 13553, "sequence_id": 360, "annotations": []}
{"role": "volunteer", "content": "Here also multiplied it by uh A C, but the CA is 1, so it didn't matter.", "session_id": 13553, "sequence_id": 361, "annotations": []}
{"role": "student", "content": "OK", "session_id": 13553, "sequence_id": 362, "annotations": []}
{"role": "volunteer", "content": "So you do the smallest factor 2 and if you do 2, you get 18, correct?", "session_id": 13553, "sequence_id": 363, "annotations": []}
{"role": "student", "content": "Uh, OK, so like,", "session_id": 13553, "sequence_id": 364, "annotations": []}
{"role": "student", "content": "so the verb, no, no, no, because they have that on the work too.", "session_id": 13553, "sequence_id": 365, "annotations": []}
{"role": "student", "content": "Ben, I have it on like the right side. It's", "session_id": 13553, "sequence_id": 366, "annotations": [{"pii_type": "PERSON", "surrogate": "Ben", "start": 0, "end": 3}]}
{"role": "student", "content": "it's like Ax C equals 3 times 12. He was 36.", "session_id": 13553, "sequence_id": 367, "annotations": []}
{"role": "student", "content": "And then it's 2 times 18 and the sum of that is 20. So the sum, the sum of the factory.", "session_id": 13553, "sequence_id": 368, "annotations": []}
{"role": "student", "content": "where", "session_id": 13553, "sequence_id": 369, "annotations": []}
{"role": "volunteer", "content": "Yes, so you don't need to break it down any for correct, correct. You don't need to break it down any further now because, you know, it to and 18 using the 20.", "session_id": 13553, "sequence_id": 370, "annotations": []}
{"role": "student", "content": "I could have a second, uh", "session_id": 13553, "sequence_id": 371, "annotations": []}
{"role": "volunteer", "content": "Sure.", "session_id": 13553, "sequence_id": 372, "annotations": []}
{"role": "student", "content": "I see that do my. Sorry.", "session_id": 13553, "sequence_id": 373, "annotations": []}
{"role": "student", "content": "I'm doing tutoring.", "session_id": 13553, "sequence_id": 374, "annotations": []}
{"role": "volunteer", "content": "Let me know when you're back", "session_id": 13553, "sequence_id": 375, "annotations": []}
{"role": "student", "content": "Hello", "session_id": 13553, "sequence_id": 376, "annotations": []}
{"role": "student", "content": "He", "session_id": 13553, "sequence_id": 377, "annotations": []}
{"role": "volunteer", "content": "Yeah, I'll be back", "session_id": 13553, "sequence_id": 378, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 13553, "sequence_id": 379, "annotations": []}
{"role": "volunteer", "content": "OK. So I've written down the equation based on the two factors that he shared, the 18 and the 2.", "session_id": 13553, "sequence_id": 380, "annotations": []}
{"role": "student", "content": "Mm", "session_id": 13553, "sequence_id": 381, "annotations": []}
{"role": "volunteer", "content": "You see this", "session_id": 13553, "sequence_id": 382, "annotations": []}
{"role": "student", "content": "OK, so", "session_id": 13553, "sequence_id": 383, "annotations": []}
{"role": "student", "content": "you", "session_id": 13553, "sequence_id": 384, "annotations": []}
{"role": "volunteer", "content": "The 18 + 2 is 20, correct?", "session_id": 13553, "sequence_id": 385, "annotations": []}
{"role": "student", "content": "Wait, wait, so we did a 3 X squad.", "session_id": 13553, "sequence_id": 386, "annotations": []}
{"role": "student", "content": "or 3 times y + 18 x + 2 X.", "session_id": 13553, "sequence_id": 387, "annotations": []}
{"role": "student", "content": "+ 12", "session_id": 13553, "sequence_id": 388, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 13553, "sequence_id": 389, "annotations": []}
{"role": "student", "content": "OK", "session_id": 13553, "sequence_id": 390, "annotations": []}
{"role": "volunteer", "content": "So what we did is we took the 2 and the 18 that uses 36, right? So 18 + 2 is 20.", "session_id": 13553, "sequence_id": 391, "annotations": []}
{"role": "student", "content": "Mhm", "session_id": 13553, "sequence_id": 392, "annotations": []}
{"role": "student", "content": "Wait, so what's", "session_id": 13553, "sequence_id": 393, "annotations": []}
{"role": "volunteer", "content": "And we know that uh mhm.", "session_id": 13553, "sequence_id": 394, "annotations": []}
{"role": "student", "content": "that the slat eagle's beak.", "session_id": 13553, "sequence_id": 395, "annotations": []}
{"role": "student", "content": "18 + 2 equals B then.", "session_id": 13553, "sequence_id": 396, "annotations": []}
{"role": "volunteer", "content": "Correct, correct", "session_id": 13553, "sequence_id": 397, "annotations": []}
{"role": "student", "content": "So.", "session_id": 13553, "sequence_id": 398, "annotations": []}
{"role": "student", "content": "Yeah, so the, what was it again?", "session_id": 13553, "sequence_id": 399, "annotations": []}
{"role": "student", "content": "was", "session_id": 13553, "sequence_id": 400, "annotations": []}
{"role": "student", "content": "the fact, yeah, those are like 2 and 18 are the factors of", "session_id": 13553, "sequence_id": 401, "annotations": []}
{"role": "student", "content": "A times C that are equal to B.", "session_id": 13553, "sequence_id": 402, "annotations": []}
{"role": "student", "content": "right? Yeah", "session_id": 13553, "sequence_id": 403, "annotations": []}
{"role": "volunteer", "content": "Correct. That's what we got here.", "session_id": 13553, "sequence_id": 404, "annotations": []}
{"role": "student", "content": "It could", "session_id": 13553, "sequence_id": 405, "annotations": []}
{"role": "student", "content": "could I like just like write a note like above.", "session_id": 13553, "sequence_id": 406, "annotations": []}
{"role": "student", "content": "So", "session_id": 13553, "sequence_id": 407, "annotations": []}
{"role": "volunteer", "content": "Sure, this, I think the link is gonna get forwarded to you on email.", "session_id": 13553, "sequence_id": 408, "annotations": []}
{"role": "student", "content": "Oh, OK, OK.", "session_id": 13553, "sequence_id": 409, "annotations": []}
{"role": "volunteer", "content": "But yeah, if you wanna write notes and it'll be, it'll be on that link. Nothing's gonna go.", "session_id": 13553, "sequence_id": 410, "annotations": []}
{"role": "student", "content": "Right.", "session_id": 13553, "sequence_id": 411, "annotations": []}
{"role": "volunteer", "content": "So, 36 U 18 and 2, and now you break it down, right? So 3, you can, as common, X is common, the 3 eggs.", "session_id": 13553, "sequence_id": 412, "annotations": []}
{"role": "volunteer", "content": "and then what do you put in the bracket is X.", "session_id": 13553, "sequence_id": 413, "annotations": []}
{"role": "volunteer", "content": "+6", "session_id": 13553, "sequence_id": 414, "annotations": []}
{"role": "volunteer", "content": "Are you with me so far", "session_id": 13553, "sequence_id": 415, "annotations": []}
{"role": "student", "content": "Um, yeah, so that would be 3 x + 18 x.", "session_id": 13553, "sequence_id": 416, "annotations": []}
{"role": "volunteer", "content": "Correct.", "session_id": 13553, "sequence_id": 417, "annotations": []}
{"role": "student", "content": "And then where's the 2 X? You're just adding it after?", "session_id": 13553, "sequence_id": 418, "annotations": []}
{"role": "volunteer", "content": "No, and then you do the 2 common", "session_id": 13553, "sequence_id": 419, "annotations": []}
{"role": "volunteer", "content": "because you want the X + 6 to repeat itself now on this side, right?", "session_id": 13553, "sequence_id": 420, "annotations": []}
{"role": "volunteer", "content": "So you take the 2 out and then the X + 6 will repeat itself.", "session_id": 13553, "sequence_id": 421, "annotations": []}
{"role": "student", "content": "OK", "session_id": 13553, "sequence_id": 422, "annotations": []}
{"role": "volunteer", "content": "11, right?", "session_id": 13553, "sequence_id": 423, "annotations": []}
{"role": "student", "content": "Yeah, so it's equal now", "session_id": 13553, "sequence_id": 424, "annotations": []}
{"role": "volunteer", "content": "Now it's equal", "session_id": 13553, "sequence_id": 425, "annotations": []}
{"role": "student", "content": "But uh, like I have it like for the other one, like where I normally do it, it's A times the parentheses the parentheses like there's no like in between number.", "session_id": 13553, "sequence_id": 426, "annotations": []}
{"role": "volunteer", "content": "Uh", "session_id": 13553, "sequence_id": 427, "annotations": []}
{"role": "volunteer", "content": "yeah, yeah, that'll, that'll happen now. So the next step is", "session_id": 13553, "sequence_id": 428, "annotations": []}
{"role": "volunteer", "content": "I'm just breaking it down for you. Um, so between in this equation what is common now? The X + 6 is common, right?", "session_id": 13553, "sequence_id": 429, "annotations": []}
{"role": "student", "content": "Mhm", "session_id": 13553, "sequence_id": 430, "annotations": []}
{"role": "volunteer", "content": "So when you pull extra seats out from here, you get 3 X's left, correct?", "session_id": 13553, "sequence_id": 431, "annotations": []}
{"role": "student", "content": "Oh, it's, so", "session_id": 13553, "sequence_id": 432, "annotations": []}
{"role": "student", "content": "um", "session_id": 13553, "sequence_id": 433, "annotations": []}
{"role": "volunteer", "content": "That's", "session_id": 13553, "sequence_id": 434, "annotations": []}
{"role": "student", "content": "OK", "session_id": 13553, "sequence_id": 435, "annotations": []}
{"role": "volunteer", "content": "I just clipped it", "session_id": 13553, "sequence_id": 436, "annotations": []}
{"role": "student", "content": "Yes, you just inverted it, right?", "session_id": 13553, "sequence_id": 437, "annotations": []}
{"role": "volunteer", "content": "Correct, correct", "session_id": 13553, "sequence_id": 438, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 13553, "sequence_id": 439, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 13553, "sequence_id": 440, "annotations": []}
{"role": "volunteer", "content": "Just flipped it over and you take the X + 6 out here.", "session_id": 13553, "sequence_id": 441, "annotations": []}
{"role": "volunteer", "content": "and you get the 2 out here", "session_id": 13553, "sequence_id": 442, "annotations": []}
{"role": "student", "content": "Um", "session_id": 13553, "sequence_id": 443, "annotations": []}
{"role": "student", "content": "uh", "session_id": 13553, "sequence_id": 444, "annotations": []}
{"role": "volunteer", "content": "So 3 X X + 6 multiplied by 3 X, which is what you have here.", "session_id": 13553, "sequence_id": 445, "annotations": []}
{"role": "student", "content": "Yeah, so you're doing, yeah, but then you're doing also", "session_id": 13553, "sequence_id": 446, "annotations": []}
{"role": "volunteer", "content": "And then you have the two muddy bad bags, the X + 6, which is the second part here.", "session_id": 13553, "sequence_id": 447, "annotations": []}
{"role": "student", "content": "OK", "session_id": 13553, "sequence_id": 448, "annotations": []}
{"role": "student", "content": "Yeah, like the way they would make us do that that is like you do.", "session_id": 13553, "sequence_id": 449, "annotations": []}
{"role": "student", "content": "like right something quickly.", "session_id": 13553, "sequence_id": 450, "annotations": []}
{"role": "volunteer", "content": "Correct", "session_id": 13553, "sequence_id": 451, "annotations": []}
{"role": "student", "content": "Uh", "session_id": 13553, "sequence_id": 452, "annotations": []}
{"role": "student", "content": "uh", "session_id": 13553, "sequence_id": 453, "annotations": []}
{"role": "student", "content": "zoom in. I know you can't zoom in.", "session_id": 13553, "sequence_id": 454, "annotations": []}
{"role": "student", "content": "How do you, yeah.", "session_id": 13553, "sequence_id": 455, "annotations": []}
{"role": "volunteer", "content": "And it is it", "session_id": 13553, "sequence_id": 456, "annotations": []}
{"role": "student", "content": "Uh, yeah.", "session_id": 13553, "sequence_id": 457, "annotations": []}
{"role": "volunteer", "content": "Do you wanna erase the line or?", "session_id": 13553, "sequence_id": 458, "annotations": []}
{"role": "student", "content": "Yeah, yeah", "session_id": 13553, "sequence_id": 459, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 13553, "sequence_id": 460, "annotations": []}
{"role": "student", "content": "had you like erased the whole line?", "session_id": 13553, "sequence_id": 461, "annotations": []}
{"role": "volunteer", "content": "So you just click on it, so you have, uh, you have a bot, right? Bot.", "session_id": 13553, "sequence_id": 462, "annotations": []}
{"role": "student", "content": "Yeah.", "session_id": 13553, "sequence_id": 463, "annotations": []}
{"role": "volunteer", "content": "Go to the right of that you have this dotted square.", "session_id": 13553, "sequence_id": 464, "annotations": []}
{"role": "volunteer", "content": "You click that and you select.", "session_id": 13553, "sequence_id": 465, "annotations": []}
{"role": "student", "content": "OK", "session_id": 13553, "sequence_id": 466, "annotations": []}
{"role": "volunteer", "content": "like I did right now", "session_id": 13553, "sequence_id": 467, "annotations": []}
{"role": "student", "content": "OK", "session_id": 13553, "sequence_id": 468, "annotations": []}
{"role": "student", "content": "OK, so XM 6 times.", "session_id": 13553, "sequence_id": 469, "annotations": []}
{"role": "student", "content": "move", "session_id": 13553, "sequence_id": 470, "annotations": []}
{"role": "student", "content": "What, how is it right like that?", "session_id": 13553, "sequence_id": 471, "annotations": []}
{"role": "student", "content": "It's not good", "session_id": 13553, "sequence_id": 472, "annotations": []}
{"role": "volunteer", "content": "What is that? Sorry", "session_id": 13553, "sequence_id": 473, "annotations": []}
{"role": "student", "content": "Yeah, it just doesn't like", "session_id": 13553, "sequence_id": 474, "annotations": []}
{"role": "volunteer", "content": "No, so here what you're doing is that this whole equation is equal to 0, so X has two values essentially.", "session_id": 13553, "sequence_id": 475, "annotations": []}
{"role": "volunteer", "content": "So the first value is -6.", "session_id": 13553, "sequence_id": 476, "annotations": []}
{"role": "volunteer", "content": "and the other value X can have is", "session_id": 13553, "sequence_id": 477, "annotations": []}
{"role": "volunteer", "content": "-2 x 3", "session_id": 13553, "sequence_id": 478, "annotations": []}
{"role": "volunteer", "content": "So if you put 6 in here plus 6 right, minus 6 + 6 is 0, right?", "session_id": 13553, "sequence_id": 479, "annotations": []}
{"role": "student", "content": "OK, wait, wait. So", "session_id": 13553, "sequence_id": 480, "annotations": []}
{"role": "student", "content": "look, yeah, I'm pretty sure like they are", "session_id": 13553, "sequence_id": 481, "annotations": []}
{"role": "student", "content": "like they are equivalent, but, uh,", "session_id": 13553, "sequence_id": 482, "annotations": []}
{"role": "student", "content": "Chex, yeah", "session_id": 13553, "sequence_id": 483, "annotations": []}
{"role": "volunteer", "content": "Yeah.", "session_id": 13553, "sequence_id": 484, "annotations": []}
{"role": "student", "content": "Yeah, OK. Because I don't know what you, how you did the X's negative.", "session_id": 13553, "sequence_id": 485, "annotations": []}
{"role": "volunteer", "content": "because", "session_id": 13553, "sequence_id": 486, "annotations": []}
{"role": "volunteer", "content": "yeah.", "session_id": 13553, "sequence_id": 487, "annotations": []}
{"role": "student", "content": "60, OK, OK. So you're like figuring out", "session_id": 13553, "sequence_id": 488, "annotations": []}
{"role": "student", "content": "basically if", "session_id": 13553, "sequence_id": 489, "annotations": []}
{"role": "student", "content": "like what X would be if X + 6 equals 0, right?", "session_id": 13553, "sequence_id": 490, "annotations": []}
{"role": "volunteer", "content": "Exactly. So when you're multiplying either any one of the numbers is 0, the multiplication is 0, right? So the first assumption is that X + 6 is 0.", "session_id": 13553, "sequence_id": 491, "annotations": []}
{"role": "volunteer", "content": "then the whole thing will be 0", "session_id": 13553, "sequence_id": 492, "annotations": []}
{"role": "volunteer", "content": "So that's when you get X is equal to -6. And the second assumption is 3 x + 2 equal to 0.", "session_id": 13553, "sequence_id": 493, "annotations": []}
{"role": "volunteer", "content": "So in that case, X will be minus 2 by 3.", "session_id": 13553, "sequence_id": 494, "annotations": []}
{"role": "volunteer", "content": "-2 divided by 3", "session_id": 13553, "sequence_id": 495, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 13553, "sequence_id": 496, "annotations": []}
{"role": "volunteer", "content": "or 2/3", "session_id": 13553, "sequence_id": 497, "annotations": []}
{"role": "student", "content": "And then that's it, huh", "session_id": 13553, "sequence_id": 498, "annotations": []}
{"role": "volunteer", "content": "That's it. So you have two values when the whole equation will be equal to zero and you solved it.", "session_id": 13553, "sequence_id": 499, "annotations": []}
{"role": "student", "content": "Oh my God. That's so long.", "session_id": 13553, "sequence_id": 500, "annotations": []}
{"role": "volunteer", "content": "Easy peasy, you", "session_id": 13553, "sequence_id": 501, "annotations": []}
{"role": "student", "content": "So long and so short", "session_id": 13553, "sequence_id": 502, "annotations": []}
{"role": "student", "content": "OK", "session_id": 13553, "sequence_id": 503, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 13553, "sequence_id": 504, "annotations": []}
{"role": "volunteer", "content": "Yeah. The key is to figure out the factors, so you know you do more practice and then you figure out the factors more quickly, um.", "session_id": 13553, "sequence_id": 505, "annotations": []}
{"role": "student", "content": "It's just like", "session_id": 13553, "sequence_id": 506, "annotations": []}
{"role": "student", "content": "with the work they gave us like", "session_id": 13553, "sequence_id": 507, "annotations": []}
{"role": "student", "content": "what uh", "session_id": 13553, "sequence_id": 508, "annotations": []}
{"role": "student", "content": "I think is like gluing out.", "session_id": 13553, "sequence_id": 509, "annotations": []}
{"role": "volunteer", "content": "yeah.", "session_id": 13553, "sequence_id": 510, "annotations": []}
{"role": "student", "content": "But it's like on a full gray screen. What do I do?", "session_id": 13553, "sequence_id": 511, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 13553, "sequence_id": 512, "annotations": []}
{"role": "student", "content": "Oh, never mind. OK.", "session_id": 13553, "sequence_id": 513, "annotations": []}
{"role": "student", "content": "Um, but like, did you get what was on the page?", "session_id": 13553, "sequence_id": 514, "annotations": []}
{"role": "volunteer", "content": "Yeah, so in that they are um", "session_id": 13553, "sequence_id": 515, "annotations": []}
{"role": "volunteer", "content": "doing the same things but trying to figure out the factors. That's what they're doing.", "session_id": 13553, "sequence_id": 516, "annotations": []}
{"role": "student", "content": "OK, so, so can you give, so give me like, could you give me like a quick thing on just what all the steps are?", "session_id": 13553, "sequence_id": 517, "annotations": []}
{"role": "student", "content": "Like quickly, so like first", "session_id": 13553, "sequence_id": 518, "annotations": []}
{"role": "volunteer", "content": "Like what they're doing", "session_id": 13553, "sequence_id": 519, "annotations": []}
{"role": "student", "content": "actually, no, I'll try to do that and then you just like, could you like tell me like if I have something wrong?", "session_id": 13553, "sequence_id": 520, "annotations": []}
{"role": "volunteer", "content": "Oh, for which one, sorry", "session_id": 13553, "sequence_id": 521, "annotations": []}
{"role": "volunteer", "content": "The second one", "session_id": 13553, "sequence_id": 522, "annotations": []}
{"role": "student", "content": "No, no, no, like, so.", "session_id": 13553, "sequence_id": 523, "annotations": []}
{"role": "student", "content": "no, I guess both, but", "session_id": 13553, "sequence_id": 524, "annotations": []}
{"role": "volunteer", "content": "I think we just did the first one.", "session_id": 13553, "sequence_id": 525, "annotations": []}
{"role": "student", "content": "the first, yeah.", "session_id": 13553, "sequence_id": 526, "annotations": []}
{"role": "student", "content": "Mm", "session_id": 13553, "sequence_id": 527, "annotations": []}
{"role": "student", "content": "OK. Um", "session_id": 13553, "sequence_id": 528, "annotations": []}
{"role": "student", "content": "for the second one", "session_id": 13553, "sequence_id": 529, "annotations": []}
{"role": "volunteer", "content": "Are you asking that you want to do the second one and I should take a look, is that what you're saying?", "session_id": 13553, "sequence_id": 530, "annotations": []}
{"role": "student", "content": "I don't know, like I just like list the steps quickly cause the problem is just necessarily like the actual work but more so just the steps cause the actual work itself isn't that hard.", "session_id": 13553, "sequence_id": 531, "annotations": []}
{"role": "volunteer", "content": "Oh, OK, OK, I see your point.", "session_id": 13553, "sequence_id": 532, "annotations": []}
{"role": "volunteer", "content": "Uh,", "session_id": 13553, "sequence_id": 533, "annotations": []}
{"role": "student", "content": "OK", "session_id": 13553, "sequence_id": 534, "annotations": []}
{"role": "volunteer", "content": "yeah, I think that steps is this, um, I need to dial out a bit, so that's why I'm gonna type it out to you and see if you understand it. So step one is uh do uh A.C.", "session_id": 13553, "sequence_id": 535, "annotations": []}
{"role": "volunteer", "content": "Correct", "session_id": 13553, "sequence_id": 536, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 13553, "sequence_id": 537, "annotations": []}
{"role": "student", "content": "Well", "session_id": 13553, "sequence_id": 538, "annotations": []}
{"role": "volunteer", "content": "Mm", "session_id": 13553, "sequence_id": 539, "annotations": []}
{"role": "student", "content": "I thought it was like actually um you just convert it into the", "session_id": 13553, "sequence_id": 540, "annotations": []}
{"role": "student", "content": "parentheses parentheses form first.", "session_id": 13553, "sequence_id": 541, "annotations": []}
{"role": "student", "content": "or do you need to do 8 times C first and then do the.", "session_id": 13553, "sequence_id": 542, "annotations": []}
{"role": "volunteer", "content": "No, you won't get the pans until you find the factors.", "session_id": 13553, "sequence_id": 543, "annotations": []}
{"role": "student", "content": "OK, OK", "session_id": 13553, "sequence_id": 544, "annotations": []}
{"role": "student", "content": "So", "session_id": 13553, "sequence_id": 545, "annotations": []}
{"role": "volunteer", "content": "You need to do the A or C first, so you get the 36, right in the example.", "session_id": 13553, "sequence_id": 546, "annotations": []}
{"role": "student", "content": "OK", "session_id": 13553, "sequence_id": 547, "annotations": []}
{"role": "volunteer", "content": "Then you find factors of", "session_id": 13553, "sequence_id": 548, "annotations": []}
{"role": "volunteer", "content": "8 or 6", "session_id": 13553, "sequence_id": 549, "annotations": []}
{"role": "student", "content": "So for that one, it would be like", "session_id": 13553, "sequence_id": 550, "annotations": []}
{"role": "student", "content": "AC", "session_id": 13553, "sequence_id": 551, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 13553, "sequence_id": 552, "annotations": []}
{"role": "student", "content": "It's like lagging know for", "session_id": 13553, "sequence_id": 553, "annotations": []}
{"role": "student", "content": "10", "session_id": 13553, "sequence_id": 554, "annotations": []}
{"role": "student", "content": "right", "session_id": 13553, "sequence_id": 555, "annotations": []}
{"role": "volunteer", "content": "Step 1;  a.c\nstep2:  factors of a.c using prime numbers", "session_id": 13553, "sequence_id": 556, "annotations": []}
{"role": "student", "content": "Let me see. Yeah, OK. So then", "session_id": 13553, "sequence_id": 557, "annotations": []}
{"role": "volunteer", "content": "Yeah, I'm writing practice for here it is. Step 1 is A or C. See, you see that? I just wrote it.", "session_id": 13553, "sequence_id": 558, "annotations": []}
{"role": "student", "content": "they were", "session_id": 13553, "sequence_id": 559, "annotations": []}
{"role": "volunteer", "content": "You can see on the chart, you can see it", "session_id": 13553, "sequence_id": 560, "annotations": []}
{"role": "student", "content": "Oh, OK, OK.", "session_id": 13553, "sequence_id": 561, "annotations": []}
{"role": "volunteer", "content": "The step one is ARC. Step 2 is factors of ARC using prime numbers.", "session_id": 13553, "sequence_id": 562, "annotations": []}
{"role": "volunteer", "content": "and then step 3.", "session_id": 13553, "sequence_id": 563, "annotations": []}
{"role": "volunteer", "content": "is uh A", "session_id": 13553, "sequence_id": 564, "annotations": []}
{"role": "student", "content": "So a little bit some like a notes thing quickly.", "session_id": 13553, "sequence_id": 565, "annotations": []}
{"role": "student", "content": "So", "session_id": 13553, "sequence_id": 566, "annotations": []}
{"role": "volunteer", "content": "Yeah, B is equal to", "session_id": 13553, "sequence_id": 567, "annotations": []}
{"role": "volunteer", "content": "addition", "session_id": 13553, "sequence_id": 568, "annotations": []}
{"role": "volunteer", "content": "of factors of ARC.", "session_id": 13553, "sequence_id": 569, "annotations": []}
{"role": "volunteer", "content": "step3: b = addition of factors of a.c", "session_id": 13553, "sequence_id": 570, "annotations": []}
{"role": "volunteer", "content": "And that's it.", "session_id": 13553, "sequence_id": 571, "annotations": []}
{"role": "student", "content": "so 8 times C and then the factors.", "session_id": 13553, "sequence_id": 572, "annotations": []}
{"role": "student", "content": "of the", "session_id": 13553, "sequence_id": 573, "annotations": []}
{"role": "student", "content": "times C", "session_id": 13553, "sequence_id": 574, "annotations": []}
{"role": "student", "content": "and then", "session_id": 13553, "sequence_id": 575, "annotations": []}
{"role": "student", "content": "sum should equal B", "session_id": 13553, "sequence_id": 576, "annotations": []}
{"role": "student", "content": "right", "session_id": 13553, "sequence_id": 577, "annotations": []}
{"role": "student", "content": "Wait", "session_id": 13553, "sequence_id": 578, "annotations": []}
{"role": "volunteer", "content": "Be because of some factors of ARC and that's it.", "session_id": 13553, "sequence_id": 579, "annotations": []}
{"role": "student", "content": "some of the factors of A, let's see.", "session_id": 13553, "sequence_id": 580, "annotations": []}
{"role": "volunteer", "content": "Yup", "session_id": 13553, "sequence_id": 581, "annotations": []}
{"role": "student", "content": "equals B", "session_id": 13553, "sequence_id": 582, "annotations": []}
{"role": "student", "content": "and then", "session_id": 13553, "sequence_id": 583, "annotations": []}
{"role": "student", "content": "you would just find then uh", "session_id": 13553, "sequence_id": 584, "annotations": []}
{"role": "student", "content": "but after that you would get like, for example, the other problem it would be 2 and 18 or 18 and 2.", "session_id": 13553, "sequence_id": 585, "annotations": []}
{"role": "student", "content": "Uh.", "session_id": 13553, "sequence_id": 586, "annotations": []}
{"role": "volunteer", "content": "Yeah, that is like I mean it's, it's be straightforward.", "session_id": 13553, "sequence_id": 587, "annotations": []}
{"role": "student", "content": "So then I, but then wouldn't it be a problem though, or", "session_id": 13553, "sequence_id": 588, "annotations": []}
{"role": "volunteer", "content": "Sorry", "session_id": 13553, "sequence_id": 589, "annotations": []}
{"role": "student", "content": "wouldn't there be a problem though? Cause right now, cause it's like you're doing 18 X + 2 x or 2 x + 18 X.", "session_id": 13553, "sequence_id": 590, "annotations": []}
{"role": "volunteer", "content": "Yeah, it's the same", "session_id": 13553, "sequence_id": 591, "annotations": []}
{"role": "student", "content": "So it's fine then, no?", "session_id": 13553, "sequence_id": 592, "annotations": []}
{"role": "volunteer", "content": "https://math.example.com/algebra-practice", "session_id": 13553, "sequence_id": 593, "annotations": []}
{"role": "volunteer", "content": "Yeah. So, yeah, yeah, that's your work. So I'm gonna share a link here. You can refer this as an example. I never dial out, sorry.", "session_id": 13553, "sequence_id": 594, "annotations": []}
{"role": "volunteer", "content": "Do you see the link?", "session_id": 13553, "sequence_id": 595, "annotations": []}
{"role": "student", "content": "Uh, well.", "session_id": 13553, "sequence_id": 596, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 13553, "sequence_id": 597, "annotations": []}
{"role": "volunteer", "content": "Uh, I can put it here too on the chat. Do you see it now?", "session_id": 13553, "sequence_id": 598, "annotations": []}
{"role": "volunteer", "content": "I put it on the board too", "session_id": 13553, "sequence_id": 599, "annotations": []}
{"role": "student", "content": "Oh yeah", "session_id": 13553, "sequence_id": 600, "annotations": []}
{"role": "student", "content": "Wait, can I like", "session_id": 13553, "sequence_id": 601, "annotations": []}
{"role": "student", "content": "OK, yeah, I can", "session_id": 13553, "sequence_id": 602, "annotations": []}
{"role": "volunteer", "content": "You can copy on the board, yeah.", "session_id": 13553, "sequence_id": 603, "annotations": []}
{"role": "student", "content": "Can I open the thing up", "session_id": 13553, "sequence_id": 604, "annotations": []}
{"role": "student", "content": "Yeah.", "session_id": 13553, "sequence_id": 605, "annotations": []}
{"role": "volunteer", "content": "Uh, you learn to copy paste it", "session_id": 13553, "sequence_id": 606, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 13553, "sequence_id": 607, "annotations": []}
{"role": "student", "content": "No, like I already like copy and pasted it.", "session_id": 13553, "sequence_id": 608, "annotations": []}
{"role": "volunteer", "content": "Oh, OK, yeah, you can open it up. So it, it gives an explanation of how to solve it also.", "session_id": 13553, "sequence_id": 609, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 13553, "sequence_id": 610, "annotations": []}
{"role": "student", "content": "Yeah, but why aren't they making us do the quadratic.", "session_id": 13553, "sequence_id": 611, "annotations": []}
{"role": "student", "content": "Like it seems weird, no? Or", "session_id": 13553, "sequence_id": 612, "annotations": []}
{"role": "volunteer", "content": "What do you mean? Why they're doing the", "session_id": 13553, "sequence_id": 613, "annotations": []}
{"role": "student", "content": "like why don't, why don't they just let us do the quadratic formula, so just to get uh both versions of X", "session_id": 13553, "sequence_id": 614, "annotations": []}
{"role": "volunteer", "content": "I didn't get the question, sorry", "session_id": 13553, "sequence_id": 615, "annotations": []}
{"role": "student", "content": "Wait, like, cause in this, they're making us do like all of that stuff.", "session_id": 13553, "sequence_id": 616, "annotations": []}
{"role": "student", "content": "But like we can also use the quadratic formula to get X on", "session_id": 13553, "sequence_id": 617, "annotations": []}
{"role": "volunteer", "content": "So you're saying that can we use the other method like the formula that you already have.", "session_id": 13553, "sequence_id": 618, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 13553, "sequence_id": 619, "annotations": []}
{"role": "volunteer", "content": "Yeah, yeah, you can use that too. Uh, that's the other way. So if you see.", "session_id": 13553, "sequence_id": 620, "annotations": []}
{"role": "volunteer", "content": "I think the equation is", "session_id": 13553, "sequence_id": 621, "annotations": []}
{"role": "student", "content": "Like I was just like saying that because like it seemed like it could be simpler to do that.", "session_id": 13553, "sequence_id": 622, "annotations": []}
{"role": "student", "content": "Like the math might not be as simple, but like I just feel like the process is like", "session_id": 13553, "sequence_id": 623, "annotations": []}
{"role": "student", "content": "it's less", "session_id": 13553, "sequence_id": 624, "annotations": []}
{"role": "student", "content": "like complicated I guess", "session_id": 13553, "sequence_id": 625, "annotations": []}
{"role": "volunteer", "content": "x = [-b \u00b1 \u221a(b^2 - 4ac)]/2a", "session_id": 13553, "sequence_id": 626, "annotations": []}
{"role": "volunteer", "content": "Yeah, yeah, I mean, you can use, if you want to use the roots, that's fine because, but you need to figure out then the like you're talking about this one, right? I just typed it on the screen.", "session_id": 13553, "sequence_id": 627, "annotations": []}
{"role": "volunteer", "content": "Do you see it?", "session_id": 13553, "sequence_id": 628, "annotations": []}
{"role": "student", "content": "Mhm. Yeah", "session_id": 13553, "sequence_id": 629, "annotations": []}
{"role": "volunteer", "content": "Is that the one you're referring to", "session_id": 13553, "sequence_id": 630, "annotations": []}
{"role": "student", "content": "Uh, see, yeah.", "session_id": 13553, "sequence_id": 631, "annotations": []}
{"role": "student", "content": "Well", "session_id": 13553, "sequence_id": 632, "annotations": []}
{"role": "volunteer", "content": "Oxycod minus B, that one.", "session_id": 13553, "sequence_id": 633, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 13553, "sequence_id": 634, "annotations": []}
{"role": "volunteer", "content": "Yeah, yeah, yeah, you can use that too. I mean, uh, if that's easier for you, that's a quick way of solving as well.", "session_id": 13553, "sequence_id": 635, "annotations": []}
{"role": "volunteer", "content": "But I, I think they're trying to show you alternate methods of the same thing because if you just put a formula, you don't know what you're really doing, right? But if you, if you do it this way, that you know you know that your factorizing.", "session_id": 13553, "sequence_id": 636, "annotations": []}
{"role": "volunteer", "content": "the quarter day equation", "session_id": 13553, "sequence_id": 637, "annotations": []}
{"role": "student", "content": "Oh, no, no, I don't, I don't forget it either way.", "session_id": 13553, "sequence_id": 638, "annotations": []}
{"role": "student", "content": "I'm just like trying to figure out", "session_id": 13553, "sequence_id": 639, "annotations": []}
{"role": "student", "content": "how to like remember how to do this, but like, once I do it more, I, I think I will try to, or like I will start understanding it though.", "session_id": 13553, "sequence_id": 640, "annotations": []}
{"role": "student", "content": "It's like I've only done it once.", "session_id": 13553, "sequence_id": 641, "annotations": []}
{"role": "student", "content": "like", "session_id": 13553, "sequence_id": 642, "annotations": []}
{"role": "volunteer", "content": "Yeah, yeah, I mean, once you start doing factorization, I think you will continue doing this and you will not go back to that uh formula.", "session_id": 13553, "sequence_id": 643, "annotations": []}
{"role": "student", "content": "becomes more fun.", "session_id": 13553, "sequence_id": 644, "annotations": []}
{"role": "student", "content": "OK", "session_id": 13553, "sequence_id": 645, "annotations": []}
{"role": "volunteer", "content": "because this becomes more fun, I think, at least in my mind, but yeah, give it a shot and see if it works for you, because putting the formula is more mechanical, you know, you're not applying your brand.", "session_id": 13553, "sequence_id": 646, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 13553, "sequence_id": 647, "annotations": []}
{"role": "volunteer", "content": "But if you like that, that's the way to go to.", "session_id": 13553, "sequence_id": 648, "annotations": []}
{"role": "student", "content": "OK, so", "session_id": 13553, "sequence_id": 649, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 13553, "sequence_id": 650, "annotations": []}
{"role": "volunteer", "content": "Because sometimes when you go to trigonometry, you will start applying this formulas. You won't be applying, uh, you know, methodology.", "session_id": 13553, "sequence_id": 651, "annotations": []}
{"role": "volunteer", "content": "So yeah.", "session_id": 13553, "sequence_id": 652, "annotations": []}
{"role": "student", "content": "So you get the similar factors of a times c which", "session_id": 13553, "sequence_id": 653, "annotations": []}
{"role": "student", "content": "uh in that, in the first problem would be 20, and then", "session_id": 13553, "sequence_id": 654, "annotations": []}
{"role": "student", "content": "hm", "session_id": 13553, "sequence_id": 655, "annotations": []}
{"role": "student", "content": "20", "session_id": 13553, "sequence_id": 656, "annotations": []}
{"role": "volunteer", "content": "Yeah, in the second one, if you wanna talk through it, that's fine too. I can, I think I have some time now, um.", "session_id": 13553, "sequence_id": 657, "annotations": []}
{"role": "student", "content": "wait", "session_id": 13553, "sequence_id": 658, "annotations": []}
{"role": "student", "content": "cause you do like uh 3", "session_id": 13553, "sequence_id": 659, "annotations": []}
{"role": "student", "content": "X and then X or entheses X + 6 + 2", "session_id": 13553, "sequence_id": 660, "annotations": []}
{"role": "volunteer", "content": "Mhm.", "session_id": 13553, "sequence_id": 661, "annotations": []}
{"role": "student", "content": "times X plus or minus + -6 and then you convert that into", "session_id": 13553, "sequence_id": 662, "annotations": []}
{"role": "student", "content": "X + 6 times 3 X plus 2.", "session_id": 13553, "sequence_id": 663, "annotations": []}
{"role": "student", "content": "But uh where does the the 18 come in? Like", "session_id": 13553, "sequence_id": 664, "annotations": []}
{"role": "volunteer", "content": "18 and 2 in the addition that makes it 20.", "session_id": 13553, "sequence_id": 665, "annotations": []}
{"role": "student", "content": "yeah, oh, OK, OK. But", "session_id": 13553, "sequence_id": 666, "annotations": []}
{"role": "student", "content": "why is it actually matter that we do that then because couldn't we just", "session_id": 13553, "sequence_id": 667, "annotations": []}
{"role": "volunteer", "content": "Otherwise, you won't be", "session_id": 13553, "sequence_id": 668, "annotations": []}
{"role": "student", "content": "oh wait wait, cause you're", "session_id": 13553, "sequence_id": 669, "annotations": []}
{"role": "student", "content": "we", "session_id": 13553, "sequence_id": 670, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 13553, "sequence_id": 671, "annotations": []}
{"role": "student", "content": "Yeah, yeah, OK, cause you're converting the 3 X", "session_id": 13553, "sequence_id": 672, "annotations": []}
{"role": "student", "content": "2 plus 18x, and then you're converting that into", "session_id": 13553, "sequence_id": 673, "annotations": []}
{"role": "volunteer", "content": "yeah", "session_id": 13553, "sequence_id": 674, "annotations": []}
{"role": "student", "content": "yeah, OK, OK, I see what you're doing, you know, cause the plus is still in the parentheses. So you're basically just simplifying X. You're basically just doing um", "session_id": 13553, "sequence_id": 675, "annotations": []}
{"role": "volunteer", "content": "I'm factor that factor.", "session_id": 13553, "sequence_id": 676, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 13553, "sequence_id": 677, "annotations": []}
{"role": "volunteer", "content": "Right.", "session_id": 13553, "sequence_id": 678, "annotations": []}
{"role": "student", "content": "3, yeah, yeah, you're doing, yeah, you're factorizing it. You're just doing 3 X X plus 6, which is the same thing as 3 X plus H X. OK.", "session_id": 13553, "sequence_id": 679, "annotations": []}
{"role": "volunteer", "content": "right", "session_id": 13553, "sequence_id": 680, "annotations": []}
{"role": "student", "content": "clear", "session_id": 13553, "sequence_id": 681, "annotations": []}
{"role": "volunteer", "content": "So the same way you should think about this A.CS 40, I think you started writing that. So A.C is -10 and 4 is 40.", "session_id": 13553, "sequence_id": 682, "annotations": []}
{"role": "volunteer", "content": "And, and", "session_id": 13553, "sequence_id": 683, "annotations": []}
{"role": "student", "content": "I'm gonna dig a screenshot of the, of the beautiful work.", "session_id": 13553, "sequence_id": 684, "annotations": []}
{"role": "student", "content": "OK", "session_id": 13553, "sequence_id": 685, "annotations": []}
{"role": "student", "content": "Hm", "session_id": 13553, "sequence_id": 686, "annotations": []}
{"role": "student", "content": "OK. And that's X", "session_id": 13553, "sequence_id": 687, "annotations": []}
{"role": "student", "content": "And then", "session_id": 13553, "sequence_id": 688, "annotations": []}
{"role": "volunteer", "content": "Mhm", "session_id": 13553, "sequence_id": 689, "annotations": []}
{"role": "student", "content": "one last thing before we go. So for question 2, I just want to do that really quickly. Like, so 8, some of the factors for it", "session_id": 13553, "sequence_id": 690, "annotations": []}
{"role": "student", "content": "A times C.", "session_id": 13553, "sequence_id": 691, "annotations": []}
{"role": "student", "content": "So you would do AC that would be -40, and then the factors", "session_id": 13553, "sequence_id": 692, "annotations": []}
{"role": "volunteer", "content": "Mm", "session_id": 13553, "sequence_id": 693, "annotations": []}
{"role": "student", "content": "that would be equal to actually question now, would they be equal to 3 or -3, 3, right?", "session_id": 13553, "sequence_id": 694, "annotations": []}
{"role": "volunteer", "content": "I mean, I mean just, yeah, I mean, forget the negative, positive for now. Uh, you, you can just think about the signs later. Just think about how do you break down 40", "session_id": 13553, "sequence_id": 695, "annotations": []}
{"role": "volunteer", "content": "so that you can get a 3.", "session_id": 13553, "sequence_id": 696, "annotations": []}
{"role": "student", "content": "Oh, OK", "session_id": 13553, "sequence_id": 697, "annotations": []}
{"role": "student", "content": "But like consider them like when you're looking through each of them to get to the actual being.", "session_id": 13553, "sequence_id": 698, "annotations": []}
{"role": "volunteer", "content": "Yeah, at that time you'll make signs. You're right, you're right.", "session_id": 13553, "sequence_id": 699, "annotations": []}
{"role": "student", "content": "OK, so", "session_id": 13553, "sequence_id": 700, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 13553, "sequence_id": 701, "annotations": []}
{"role": "student", "content": "1 in 40 will never work. 220", "session_id": 13553, "sequence_id": 702, "annotations": []}
{"role": "student", "content": "that work", "session_id": 13553, "sequence_id": 703, "annotations": []}
{"role": "volunteer", "content": "Mhm", "session_id": 13553, "sequence_id": 704, "annotations": []}
{"role": "student", "content": "Uh, 4:10", "session_id": 13553, "sequence_id": 705, "annotations": []}
{"role": "student", "content": "no", "session_id": 13553, "sequence_id": 706, "annotations": []}
{"role": "student", "content": "You know, that wouldn't work cause", "session_id": 13553, "sequence_id": 707, "annotations": []}
{"role": "student", "content": "OK", "session_id": 13553, "sequence_id": 708, "annotations": []}
{"role": "volunteer", "content": "Yeah, think, think prime numbers. It's easier to think prime numbers.", "session_id": 13553, "sequence_id": 709, "annotations": []}
{"role": "student", "content": "Oh, yeah, from phone numbers.", "session_id": 13553, "sequence_id": 710, "annotations": []}
{"role": "student", "content": "uh", "session_id": 13553, "sequence_id": 711, "annotations": []}
{"role": "volunteer", "content": "So 2 then work, 3 didn't work. What about 5?", "session_id": 13553, "sequence_id": 712, "annotations": []}
{"role": "student", "content": "50 yeah, the first prime number.", "session_id": 13553, "sequence_id": 713, "annotations": []}
{"role": "volunteer", "content": "Mhm", "session_id": 13553, "sequence_id": 714, "annotations": []}
{"role": "student", "content": "Uh, OK.", "session_id": 13553, "sequence_id": 715, "annotations": []}
{"role": "volunteer", "content": "Yup.", "session_id": 13553, "sequence_id": 716, "annotations": []}
{"role": "volunteer", "content": "That's", "session_id": 13553, "sequence_id": 717, "annotations": []}
{"role": "student", "content": "So that would be 5 and 8. Yeah, I'm going to do some of the prime factors. So are they just normally like the right ones?", "session_id": 13553, "sequence_id": 718, "annotations": []}
{"role": "student", "content": "go with", "session_id": 13553, "sequence_id": 719, "annotations": []}
{"role": "volunteer", "content": "more likely or not because you don't want it to uh", "session_id": 13553, "sequence_id": 720, "annotations": []}
{"role": "volunteer", "content": "uh, yeah, no more than uh more, more likely than not. Let me say it that way. If not, you know, if you there may be a case where we have to multiply a couple of those prime factors, but it's always the cleanest way.", "session_id": 13553, "sequence_id": 721, "annotations": []}
{"role": "student", "content": "OK, fine. I'm sick writing this and basically we find the", "session_id": 13553, "sequence_id": 722, "annotations": []}
{"role": "student", "content": "prime factors of B, which is equal to AC.", "session_id": 13553, "sequence_id": 723, "annotations": []}
{"role": "student", "content": "OK", "session_id": 13553, "sequence_id": 724, "annotations": []}
{"role": "volunteer", "content": "So you got 55 and 8, right? So does 5 and 8 work?", "session_id": 13553, "sequence_id": 725, "annotations": []}
{"role": "student", "content": "Uh, 5 and 8, yeah, it works because you're doing 5 minus 80 equals -3.", "session_id": 13553, "sequence_id": 726, "annotations": []}
{"role": "volunteer", "content": "There you go", "session_id": 13553, "sequence_id": 727, "annotations": []}
{"role": "student", "content": "OK, so then the equation would be", "session_id": 13553, "sequence_id": 728, "annotations": []}
{"role": "student", "content": "you would basically do uh I mean they write it down, it's gonna be like annoying.", "session_id": 13553, "sequence_id": 729, "annotations": []}
{"role": "volunteer", "content": "Yeah, it's gonna be -8 X +.", "session_id": 13553, "sequence_id": 730, "annotations": []}
{"role": "student", "content": "Yeah.", "session_id": 13553, "sequence_id": 731, "annotations": []}
{"role": "volunteer", "content": "5.", "session_id": 13553, "sequence_id": 732, "annotations": []}
{"role": "volunteer", "content": "OK.", "session_id": 13553, "sequence_id": 733, "annotations": []}
{"role": "student", "content": "really, I gotta convert it. You're too too smart for me.", "session_id": 13553, "sequence_id": 734, "annotations": []}
{"role": "volunteer", "content": "No, no, that's fine. It will take time.", "session_id": 13553, "sequence_id": 735, "annotations": []}
{"role": "volunteer", "content": "know.", "session_id": 13553, "sequence_id": 736, "annotations": []}
{"role": "student", "content": "Corax square +", "session_id": 13553, "sequence_id": 737, "annotations": []}
{"role": "student", "content": "5 X minus 8 X.", "session_id": 13553, "sequence_id": 738, "annotations": []}
{"role": "student", "content": "minus 10, no? And then cause that that'd be the same thing.", "session_id": 13553, "sequence_id": 739, "annotations": []}
{"role": "student", "content": "And then you basically just convert that to a simpler form. So,", "session_id": 13553, "sequence_id": 740, "annotations": []}
{"role": "student", "content": "would do for X", "session_id": 13553, "sequence_id": 741, "annotations": []}
{"role": "student", "content": "We, yeah, 4 X X plus", "session_id": 13553, "sequence_id": 742, "annotations": []}
{"role": "student", "content": "1.25.", "session_id": 13553, "sequence_id": 743, "annotations": []}
{"role": "student", "content": "Could you do that", "session_id": 13553, "sequence_id": 744, "annotations": []}
{"role": "volunteer", "content": "Core, sorry, what did, uh.", "session_id": 13553, "sequence_id": 745, "annotations": []}
{"role": "student", "content": "A 4 x times entheses X + 1.25.", "session_id": 13553, "sequence_id": 746, "annotations": []}
{"role": "volunteer", "content": "why do you do that", "session_id": 13553, "sequence_id": 747, "annotations": []}
{"role": "volunteer", "content": "Yeah.", "session_id": 13553, "sequence_id": 748, "annotations": []}
{"role": "student", "content": "because, uh, 4 x times X would be 4 x squad, which is", "session_id": 13553, "sequence_id": 749, "annotations": []}
{"role": "student", "content": "A x1 and then 4 x 1.25 would just be 5 X.", "session_id": 13553, "sequence_id": 750, "annotations": []}
{"role": "volunteer", "content": "No, no, no, no, no, no. I think you're missing something up. Why don't you use the 8?", "session_id": 13553, "sequence_id": 751, "annotations": []}
{"role": "student", "content": "and then", "session_id": 13553, "sequence_id": 752, "annotations": []}
{"role": "student", "content": "hm", "session_id": 13553, "sequence_id": 753, "annotations": []}
{"role": "volunteer", "content": "No, no, use the 8. Why are you using the 5?", "session_id": 13553, "sequence_id": 754, "annotations": []}
{"role": "student", "content": "Uh", "session_id": 13553, "sequence_id": 755, "annotations": []}
{"role": "student", "content": "Oh, wait, so you can use, wait, can you just use either one then, just whichever makes more sense.", "session_id": 13553, "sequence_id": 756, "annotations": []}
{"role": "volunteer", "content": "Yeah, yeah, you need to use the one that, that gives you the clean factor.", "session_id": 13553, "sequence_id": 757, "annotations": []}
{"role": "student", "content": "So the negative 8 X + 5 X.", "session_id": 13553, "sequence_id": 758, "annotations": []}
{"role": "volunteer", "content": "Yup", "session_id": 13553, "sequence_id": 759, "annotations": []}
{"role": "student", "content": "minus 10. OK. So then 4 x parentheses X + 42.", "session_id": 13553, "sequence_id": 760, "annotations": []}
{"role": "volunteer", "content": "Yup.", "session_id": 13553, "sequence_id": 761, "annotations": []}
{"role": "student", "content": "or 2", "session_id": 13553, "sequence_id": 762, "annotations": []}
{"role": "student", "content": "cause it's minus 8X, right?", "session_id": 13553, "sequence_id": 763, "annotations": []}
{"role": "volunteer", "content": "Mhm", "session_id": 13553, "sequence_id": 764, "annotations": []}
{"role": "student", "content": "or", "session_id": 13553, "sequence_id": 765, "annotations": []}
{"role": "student", "content": "plus or times", "session_id": 13553, "sequence_id": 766, "annotations": []}
{"role": "student", "content": "Uh", "session_id": 13553, "sequence_id": 767, "annotations": []}
{"role": "student", "content": "oh", "session_id": 13553, "sequence_id": 768, "annotations": []}
{"role": "volunteer", "content": "So you already got X minus 2, right? So the second factor should also give you next minute too.", "session_id": 13553, "sequence_id": 769, "annotations": []}
{"role": "volunteer", "content": "Yeah.", "session_id": 13553, "sequence_id": 770, "annotations": []}
{"role": "volunteer", "content": "So the X minus 2 should repeat itself. Otherwise, you cannot take it as common on your next step, right?", "session_id": 13553, "sequence_id": 771, "annotations": []}
{"role": "student", "content": "Well, I just disconnected. Uh, you hear me?", "session_id": 13553, "sequence_id": 772, "annotations": []}
{"role": "volunteer", "content": "Yeah, I can hear you", "session_id": 13553, "sequence_id": 773, "annotations": []}
{"role": "student", "content": "And my fingers stillleted, but I remember so much, uh, so it, it was 4 X X minus 2, right?", "session_id": 13553, "sequence_id": 774, "annotations": []}
{"role": "volunteer", "content": "Yeah.", "session_id": 13553, "sequence_id": 775, "annotations": []}
{"role": "student", "content": "4 square minus 2. OK, and then so above it", "session_id": 13553, "sequence_id": 776, "annotations": []}
{"role": "student", "content": "was", "session_id": 13553, "sequence_id": 777, "annotations": []}
{"role": "student", "content": "the rest of the stuff was 5 x minus 10. OK.", "session_id": 13553, "sequence_id": 778, "annotations": []}
{"role": "student", "content": "So 4", "session_id": 13553, "sequence_id": 779, "annotations": []}
{"role": "volunteer", "content": "No, no, so hold on, 5 x minus 10 will, you can take the 5 common, right? And then that would be.", "session_id": 13553, "sequence_id": 780, "annotations": []}
{"role": "volunteer", "content": "X + 2", "session_id": 13553, "sequence_id": 781, "annotations": []}
{"role": "student", "content": "Oh, because I was just writing down what was left from before.", "session_id": 13553, "sequence_id": 782, "annotations": []}
{"role": "volunteer", "content": "Oh yeah, yeah, OK, good, good", "session_id": 13553, "sequence_id": 783, "annotations": []}
{"role": "volunteer", "content": "Sure, sure", "session_id": 13553, "sequence_id": 784, "annotations": []}
{"role": "student", "content": "like the like the whole thing was 4 x squared minus 8 X + 5 x minus 10.", "session_id": 13553, "sequence_id": 785, "annotations": []}
{"role": "volunteer", "content": "Got it", "session_id": 13553, "sequence_id": 786, "annotations": []}
{"role": "student", "content": "And then I got that down to 4 x x minus 2, and then just parenthe again, no? Or", "session_id": 13553, "sequence_id": 787, "annotations": []}
{"role": "volunteer", "content": "Uh no, just + 5.", "session_id": 13553, "sequence_id": 788, "annotations": []}
{"role": "student", "content": "oh wait, yeah, so then plus", "session_id": 13553, "sequence_id": 789, "annotations": []}
{"role": "student", "content": "oh OK", "session_id": 13553, "sequence_id": 790, "annotations": []}
{"role": "student", "content": "plus 5 x minus 2 again because that'd be 5 minus 10.", "session_id": 13553, "sequence_id": 791, "annotations": []}
{"role": "volunteer", "content": "and a plus 5 parenthesis X minus 2.", "session_id": 13553, "sequence_id": 792, "annotations": []}
{"role": "volunteer", "content": "Yeah.", "session_id": 13553, "sequence_id": 793, "annotations": []}
{"role": "student", "content": "Yeah, yeah, yeah, that's, yeah, that's what I meant.", "session_id": 13553, "sequence_id": 794, "annotations": []}
{"role": "volunteer", "content": "Yeah, yeah", "session_id": 13553, "sequence_id": 795, "annotations": []}
{"role": "student", "content": "OK, and then", "session_id": 13553, "sequence_id": 796, "annotations": []}
{"role": "student", "content": "hm.", "session_id": 13553, "sequence_id": 797, "annotations": []}
{"role": "student", "content": "what did you do then? You would you just as so.", "session_id": 13553, "sequence_id": 798, "annotations": []}
{"role": "volunteer", "content": "Now I minus 2 is common, right? You have 2 X minus 2s, so you take that one out and then put the rest in the parenthesis.", "session_id": 13553, "sequence_id": 799, "annotations": []}
{"role": "student", "content": "So you remove the common factors?", "session_id": 13553, "sequence_id": 800, "annotations": []}
{"role": "volunteer", "content": "Yeah, take the compactor out.", "session_id": 13553, "sequence_id": 801, "annotations": []}
{"role": "student", "content": "OK. OK. It's equal to AC and then", "session_id": 13553, "sequence_id": 802, "annotations": []}
{"role": "student", "content": "right", "session_id": 13553, "sequence_id": 803, "annotations": []}
{"role": "student", "content": "Uh, just give me a second writing this down in my precious notes.", "session_id": 13553, "sequence_id": 804, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 13553, "sequence_id": 805, "annotations": []}
{"role": "volunteer", "content": "No, good, good. That's, that's good. You're diligent.", "session_id": 13553, "sequence_id": 806, "annotations": []}
{"role": "student", "content": "factors.", "session_id": 13553, "sequence_id": 807, "annotations": []}
{"role": "student", "content": "What", "session_id": 13553, "sequence_id": 808, "annotations": []}
{"role": "student", "content": "Uh", "session_id": 13553, "sequence_id": 809, "annotations": []}
{"role": "student", "content": "OK. 3 X is like the equivalent sign.", "session_id": 13553, "sequence_id": 810, "annotations": []}
{"role": "student", "content": "it's like a version.", "session_id": 13553, "sequence_id": 811, "annotations": []}
{"role": "student", "content": "that you might see", "session_id": 13553, "sequence_id": 812, "annotations": []}
{"role": "student", "content": "like.", "session_id": 13553, "sequence_id": 813, "annotations": []}
{"role": "student", "content": "like seeing streets.", "session_id": 13553, "sequence_id": 814, "annotations": []}
{"role": "student", "content": "So.", "session_id": 13553, "sequence_id": 815, "annotations": []}
{"role": "student", "content": "That's what I said. You just gave an example.", "session_id": 13553, "sequence_id": 816, "annotations": []}
{"role": "student", "content": "in both circumstance.", "session_id": 13553, "sequence_id": 817, "annotations": []}
{"role": "student", "content": "frontage than right.", "session_id": 13553, "sequence_id": 818, "annotations": []}
{"role": "student", "content": "In fact they get So you have to avoid decimals.", "session_id": 13553, "sequence_id": 819, "annotations": []}
{"role": "student", "content": "right", "session_id": 13553, "sequence_id": 820, "annotations": []}
{"role": "volunteer", "content": "What's that", "session_id": 13553, "sequence_id": 821, "annotations": []}
{"role": "student", "content": "So you have to avoid decimals, right?", "session_id": 13553, "sequence_id": 822, "annotations": []}
{"role": "student", "content": "Yeah, so just", "session_id": 13553, "sequence_id": 823, "annotations": []}
{"role": "volunteer", "content": "Yeah, I mean, mostly inquire, you'll get clean factors. You'll never get fractions. Are you, yeah.", "session_id": 13553, "sequence_id": 824, "annotations": []}
{"role": "student", "content": "so what about if we like avoid dusts if you can, but if you can't, you just end up with decimals, no?", "session_id": 13553, "sequence_id": 825, "annotations": []}
{"role": "student", "content": "Or is it like you never do?", "session_id": 13553, "sequence_id": 826, "annotations": []}
{"role": "volunteer", "content": "Uh, so, no, no, no, no. Let's, let's just think about the other way. The idea is to find that common factor like the X minus 2 that you found here, right?", "session_id": 13553, "sequence_id": 827, "annotations": []}
{"role": "volunteer", "content": "So", "session_id": 13553, "sequence_id": 828, "annotations": []}
{"role": "student", "content": "No, I was like talking about um like I don't know if you were like talking about just action, but", "session_id": 13553, "sequence_id": 829, "annotations": []}
{"role": "student", "content": "like for the 4 x 2 minus 8 x + 5 x, like you have to avoid doing 5x minus 8 X because you you end up with the decimal like you end up with like", "session_id": 13553, "sequence_id": 830, "annotations": []}
{"role": "volunteer", "content": "yeah, yeah, I, I see, I understand your question. What I'm trying to say is that instead of thinking about it that way, that you need to avoid decimals. The way to think about it is", "session_id": 13553, "sequence_id": 831, "annotations": []}
{"role": "volunteer", "content": "how do I find a factor that'll be common for both the 1st 2 and the 2nd 2.", "session_id": 13553, "sequence_id": 832, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 13553, "sequence_id": 833, "annotations": []}
{"role": "volunteer", "content": "You know what I mean", "session_id": 13553, "sequence_id": 834, "annotations": []}
{"role": "student", "content": "OK", "session_id": 13553, "sequence_id": 835, "annotations": []}
{"role": "volunteer", "content": "So when I say first two is that these two, right? I'm just trying to write here. So you'll see the blue color pen.", "session_id": 13553, "sequence_id": 836, "annotations": []}
{"role": "student", "content": "Uh, yeah, so the reason is they result in", "session_id": 13553, "sequence_id": 837, "annotations": []}
{"role": "student", "content": "uh in similar", "session_id": 13553, "sequence_id": 838, "annotations": []}
{"role": "student", "content": "factors which can be canceled out.", "session_id": 13553, "sequence_id": 839, "annotations": []}
{"role": "student", "content": "simplifying the expression.", "session_id": 13553, "sequence_id": 840, "annotations": []}
{"role": "volunteer", "content": "which can be pulled out as a common factor, not cancer yet, but pulled out of a common factor.", "session_id": 13553, "sequence_id": 841, "annotations": []}
{"role": "student", "content": "or yeah", "session_id": 13553, "sequence_id": 842, "annotations": []}
{"role": "student", "content": "It's like the", "session_id": 13553, "sequence_id": 843, "annotations": []}
{"role": "volunteer", "content": "because what will happen if you do the 5 X, then you will get like a random 5 x 4 or something.", "session_id": 13553, "sequence_id": 844, "annotations": []}
{"role": "volunteer", "content": "And then if you go on the other side, you will get like a random, uh, what is it? Again, again, a fiber. Actually, that works actually, I think, right? No, no, you get a 5 by 4.", "session_id": 13553, "sequence_id": 845, "annotations": []}
{"role": "volunteer", "content": "You don't get a 5x 4 there. You get, uh, what?", "session_id": 13553, "sequence_id": 846, "annotations": []}
{"role": "volunteer", "content": "2, you get something else altogether. So you get", "session_id": 13553, "sequence_id": 847, "annotations": []}
{"role": "volunteer", "content": "you kind of stalled", "session_id": 13553, "sequence_id": 848, "annotations": []}
{"role": "student", "content": "OK", "session_id": 13553, "sequence_id": 849, "annotations": []}
{"role": "volunteer", "content": "Actually, let's try it. what happens? I never tried it.", "session_id": 13553, "sequence_id": 850, "annotations": []}
{"role": "student", "content": "Well, well,", "session_id": 13553, "sequence_id": 851, "annotations": []}
{"role": "volunteer", "content": "You ask me some questions. OK, so you put this 5 x 4 on this side.", "session_id": 13553, "sequence_id": 852, "annotations": []}
{"role": "volunteer", "content": "And then I get a 10 x 8 on the other side.", "session_id": 13553, "sequence_id": 853, "annotations": []}
{"role": "volunteer", "content": "OK.", "session_id": 13553, "sequence_id": 854, "annotations": []}
{"role": "student", "content": "Wait, a question with the negative 2 though, before we do that, um, so the negative 2 you can basically do what exactly we can basically like cross it out or?", "session_id": 13553, "sequence_id": 855, "annotations": []}
{"role": "volunteer", "content": "No, no, no, you cannot, you should not cross anything out. You're factorizing it, so you take that factor out.", "session_id": 13553, "sequence_id": 856, "annotations": []}
{"role": "student", "content": "So, like you have the negative2 in both, meaning what exactly like.", "session_id": 13553, "sequence_id": 857, "annotations": []}
{"role": "volunteer", "content": "Are you saying, uh talking about the X minus 2?", "session_id": 13553, "sequence_id": 858, "annotations": []}
{"role": "student", "content": "Yeah, cause that's in like both of them. Like do", "session_id": 13553, "sequence_id": 859, "annotations": []}
{"role": "volunteer", "content": "Yeah, yeah, so you take that X minus 2 hours. I'm writing it where your cursor is.", "session_id": 13553, "sequence_id": 860, "annotations": []}
{"role": "volunteer", "content": "and then you put the rest in the bracket.", "session_id": 13553, "sequence_id": 861, "annotations": []}
{"role": "student", "content": "OK, so you can do X minus 2 and then 4 x plus 5,?", "session_id": 13553, "sequence_id": 862, "annotations": []}
{"role": "volunteer", "content": "Correct.", "session_id": 13553, "sequence_id": 863, "annotations": []}
{"role": "student", "content": "OK", "session_id": 13553, "sequence_id": 864, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 13553, "sequence_id": 865, "annotations": []}
{"role": "student", "content": "And then you'll get it to that form again, yeah. OK, so it turns into", "session_id": 13553, "sequence_id": 866, "annotations": []}
{"role": "volunteer", "content": "And then all of that equates to zero, which you have not written anywhere yet, but the idea is to", "session_id": 13553, "sequence_id": 867, "annotations": []}
{"role": "volunteer", "content": "find the factors", "session_id": 13553, "sequence_id": 868, "annotations": []}
{"role": "student", "content": "births to X minus", "session_id": 13553, "sequence_id": 869, "annotations": []}
{"role": "student", "content": "X minus 2, and", "session_id": 13553, "sequence_id": 870, "annotations": []}
{"role": "student", "content": "4 x plus 5.", "session_id": 13553, "sequence_id": 871, "annotations": []}
{"role": "student", "content": "Forest is 5.", "session_id": 13553, "sequence_id": 872, "annotations": []}
{"role": "student", "content": "but", "session_id": 13553, "sequence_id": 873, "annotations": []}
{"role": "student", "content": "my word be like", "session_id": 13553, "sequence_id": 874, "annotations": []}
{"role": "student", "content": "to", "session_id": 13553, "sequence_id": 875, "annotations": []}
{"role": "student", "content": "X minus 2", "session_id": 13553, "sequence_id": 876, "annotations": []}
{"role": "student", "content": "+ 4 x + 5 cause there's, or right now.", "session_id": 13553, "sequence_id": 877, "annotations": []}
{"role": "student", "content": "It's like because you're", "session_id": 13553, "sequence_id": 878, "annotations": []}
{"role": "student", "content": "you have two of the times x minus 2 in there. So I was just", "session_id": 13553, "sequence_id": 879, "annotations": []}
{"role": "student", "content": "confused like", "session_id": 13553, "sequence_id": 880, "annotations": []}
{"role": "student", "content": "how you deal with that", "session_id": 13553, "sequence_id": 881, "annotations": []}
{"role": "volunteer", "content": "Yeah, you take it out, this and this.", "session_id": 13553, "sequence_id": 882, "annotations": []}
{"role": "volunteer", "content": "and you put it under this umbrella right here.", "session_id": 13553, "sequence_id": 883, "annotations": []}
{"role": "student", "content": "Yeah, but like", "session_id": 13553, "sequence_id": 884, "annotations": []}
{"role": "volunteer", "content": "And then one greens is the + 5.", "session_id": 13553, "sequence_id": 885, "annotations": []}
{"role": "volunteer", "content": "that is here", "session_id": 13553, "sequence_id": 886, "annotations": []}
{"role": "volunteer", "content": "And then what remains is the horax.", "session_id": 13553, "sequence_id": 887, "annotations": []}
{"role": "volunteer", "content": "So now if you multiply it, it'll be like, you know.", "session_id": 13553, "sequence_id": 888, "annotations": []}
{"role": "volunteer", "content": "X for x square, right?", "session_id": 13553, "sequence_id": 889, "annotations": []}
{"role": "student", "content": "OK. Yeah, I was just asking like why.", "session_id": 13553, "sequence_id": 890, "annotations": []}
{"role": "student", "content": "it would, like it just, like it would result like when you combine the X-y this twos together, it would still be x minus 2.", "session_id": 13553, "sequence_id": 891, "annotations": []}
{"role": "volunteer", "content": "And, and", "session_id": 13553, "sequence_id": 892, "annotations": []}
{"role": "student", "content": "No, I was just confused a lot.", "session_id": 13553, "sequence_id": 893, "annotations": []}
{"role": "volunteer", "content": "I don't understand. So why are you saying this X minus 2 will remain as X minus 2 here?", "session_id": 13553, "sequence_id": 894, "annotations": []}
{"role": "student", "content": "Yeah, cause you're, cause you're like combining both of them.", "session_id": 13553, "sequence_id": 895, "annotations": []}
{"role": "volunteer", "content": "So", "session_id": 13553, "sequence_id": 896, "annotations": []}
{"role": "student", "content": "or", "session_id": 13553, "sequence_id": 897, "annotations": []}
{"role": "volunteer", "content": "forget about the X minus 2. If this was 8th year.", "session_id": 13553, "sequence_id": 898, "annotations": []}
{"role": "student", "content": "Mhm", "session_id": 13553, "sequence_id": 899, "annotations": []}
{"role": "volunteer", "content": "if X minus 2 is 8 and X minus 2 here is 8.", "session_id": 13553, "sequence_id": 900, "annotations": []}
{"role": "student", "content": "Mhm", "session_id": 13553, "sequence_id": 901, "annotations": []}
{"role": "volunteer", "content": "Would it change", "session_id": 13553, "sequence_id": 902, "annotations": []}
{"role": "student", "content": "Oh, so then we're just saying basically like that's", "session_id": 13553, "sequence_id": 903, "annotations": []}
{"role": "student", "content": "you're doing", "session_id": 13553, "sequence_id": 904, "annotations": []}
{"role": "volunteer", "content": "Think of it just like a number. Yeah, I just.", "session_id": 13553, "sequence_id": 905, "annotations": []}
{"role": "student", "content": "like it's like why", "session_id": 13553, "sequence_id": 906, "annotations": []}
{"role": "student", "content": "right?", "session_id": 13553, "sequence_id": 907, "annotations": []}
{"role": "volunteer", "content": "Yeah, exactly. You just pull it out. That's it.", "session_id": 13553, "sequence_id": 908, "annotations": []}
{"role": "student", "content": "So you're basically doing 4xs Y + 5Y.", "session_id": 13553, "sequence_id": 909, "annotations": []}
{"role": "volunteer", "content": "Correct, exactly", "session_id": 13553, "sequence_id": 910, "annotations": []}
{"role": "student", "content": "OK. Even then though, like you combine them, I was just like confused like where the other why goes cause", "session_id": 13553, "sequence_id": 911, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 13553, "sequence_id": 912, "annotations": []}
{"role": "student", "content": "By y plus something multiplied by y. I was just like confused cause and the second one you're doing only one thing multiplied by y, not", "session_id": 13553, "sequence_id": 913, "annotations": []}
{"role": "student", "content": "Oh wait, wait, wait, because you're multiplying both of them by y.", "session_id": 13553, "sequence_id": 914, "annotations": []}
{"role": "volunteer", "content": "Exactly, yeah, yeah.", "session_id": 13553, "sequence_id": 915, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 13553, "sequence_id": 916, "annotations": []}
{"role": "student", "content": "OK. So, OK, here. Yeah, you're just basically combining them because you're just doing", "session_id": 13553, "sequence_id": 917, "annotations": []}
{"role": "student", "content": "like 4X for example, let's just say that's 4 and then 5.", "session_id": 13553, "sequence_id": 918, "annotations": []}
{"role": "student", "content": "is", "session_id": 13553, "sequence_id": 919, "annotations": []}
{"role": "student", "content": "5", "session_id": 13553, "sequence_id": 920, "annotations": []}
{"role": "student", "content": "Yeah.", "session_id": 13553, "sequence_id": 921, "annotations": []}
{"role": "volunteer", "content": "Yeah, it's like basically doing this to uh to multiply it by 5 + 3, for example.", "session_id": 13553, "sequence_id": 922, "annotations": []}
{"role": "student", "content": "Yeah, like just", "session_id": 13553, "sequence_id": 923, "annotations": []}
{"role": "student", "content": "OK", "session_id": 13553, "sequence_id": 924, "annotations": []}
{"role": "volunteer", "content": "So 52 is 10.", "session_id": 13553, "sequence_id": 925, "annotations": []}
{"role": "student", "content": "And plus 6", "session_id": 13553, "sequence_id": 926, "annotations": []}
{"role": "volunteer", "content": "and 6. Yeah.", "session_id": 13553, "sequence_id": 927, "annotations": []}
{"role": "student", "content": "16", "session_id": 13553, "sequence_id": 928, "annotations": []}
{"role": "volunteer", "content": "Yeah.", "session_id": 13553, "sequence_id": 929, "annotations": []}
{"role": "student", "content": "And then in the other one, if you did the same thing", "session_id": 13553, "sequence_id": 930, "annotations": []}
{"role": "student", "content": "wait, uh, whatever.", "session_id": 13553, "sequence_id": 931, "annotations": []}
{"role": "student", "content": "OK", "session_id": 13553, "sequence_id": 932, "annotations": []}
{"role": "volunteer", "content": "Yeah, yeah, this is 10 + 6 is 16, or you can do 5 + 3 is 8, multiply by 2 is 16. Both are 16, both are 16.", "session_id": 13553, "sequence_id": 933, "annotations": []}
{"role": "student", "content": "makes more sense now", "session_id": 13553, "sequence_id": 934, "annotations": []}
{"role": "student", "content": "And then", "session_id": 13553, "sequence_id": 935, "annotations": []}
{"role": "student", "content": "defined X, you would just", "session_id": 13553, "sequence_id": 936, "annotations": []}
{"role": "student", "content": "com, you would assume.", "session_id": 13553, "sequence_id": 937, "annotations": []}
{"role": "student", "content": "uh equal to zero. So", "session_id": 13553, "sequence_id": 938, "annotations": []}
{"role": "student", "content": "right?", "session_id": 13553, "sequence_id": 939, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 13553, "sequence_id": 940, "annotations": []}
{"role": "student", "content": "like you would assume X minus 2 equals 0, right?", "session_id": 13553, "sequence_id": 941, "annotations": []}
{"role": "volunteer", "content": "Yup", "session_id": 13553, "sequence_id": 942, "annotations": []}
{"role": "student", "content": "Each parenthesis", "session_id": 13553, "sequence_id": 943, "annotations": []}
{"role": "student", "content": "equals 0", "session_id": 13553, "sequence_id": 944, "annotations": []}
{"role": "student", "content": "X", "session_id": 13553, "sequence_id": 945, "annotations": []}
{"role": "student", "content": "uh", "session_id": 13553, "sequence_id": 946, "annotations": []}
{"role": "student", "content": "X minus 2 equals 0.", "session_id": 13553, "sequence_id": 947, "annotations": []}
{"role": "student", "content": "So then that would mean X", "session_id": 13553, "sequence_id": 948, "annotations": []}
{"role": "student", "content": "equals 2", "session_id": 13553, "sequence_id": 949, "annotations": []}
{"role": "student", "content": "And then for", "session_id": 13553, "sequence_id": 950, "annotations": []}
{"role": "student", "content": "uh, 4x plus 5 equals 0.", "session_id": 13553, "sequence_id": 951, "annotations": []}
{"role": "student", "content": "4", "session_id": 13553, "sequence_id": 952, "annotations": []}
{"role": "student", "content": "equals 0", "session_id": 13553, "sequence_id": 953, "annotations": []}
{"role": "student", "content": "then X would be.", "session_id": 13553, "sequence_id": 954, "annotations": []}
{"role": "student", "content": "5 equals maybe 4 X and now be just 1.25.", "session_id": 13553, "sequence_id": 955, "annotations": []}
{"role": "student", "content": "Oh wait, no, 1.125.", "session_id": 13553, "sequence_id": 956, "annotations": []}
{"role": "student", "content": "Wait, but you have negative 1.25 again, no?", "session_id": 13553, "sequence_id": 957, "annotations": []}
{"role": "student", "content": "from before", "session_id": 13553, "sequence_id": 958, "annotations": []}
{"role": "student", "content": "or is it unrelated", "session_id": 13553, "sequence_id": 959, "annotations": []}
{"role": "student", "content": "Cause you know how like from before,", "session_id": 13553, "sequence_id": 960, "annotations": []}
{"role": "student", "content": "um I got 1.25.", "session_id": 13553, "sequence_id": 961, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 13553, "sequence_id": 962, "annotations": []}
{"role": "student", "content": "like 1 point, yeah.", "session_id": 13553, "sequence_id": 963, "annotations": []}
{"role": "student", "content": "Is that like", "session_id": 13553, "sequence_id": 964, "annotations": []}
{"role": "volunteer", "content": "Yeah, yeah, so that should work because I was gonna say that, yeah. So it shouldn't matter, but uh", "session_id": 13553, "sequence_id": 965, "annotations": []}
{"role": "student", "content": "which just makes it more complicated.", "session_id": 13553, "sequence_id": 966, "annotations": []}
{"role": "volunteer", "content": "it'll make it more complicated, correct.", "session_id": 13553, "sequence_id": 967, "annotations": []}
{"role": "student", "content": "OK", "session_id": 13553, "sequence_id": 968, "annotations": []}
{"role": "student", "content": "Um, I'll put that in the orange.", "session_id": 13553, "sequence_id": 969, "annotations": []}
{"role": "volunteer", "content": "because what we'll get is you'll get like a random X + 5 by 4 X something like that.", "session_id": 13553, "sequence_id": 970, "annotations": []}
{"role": "student", "content": "OK", "session_id": 13553, "sequence_id": 971, "annotations": []}
{"role": "volunteer", "content": "But yeah, that should work though. It should not give you any any other uh answer. The answer should always be the same, then how you approach it.", "session_id": 13553, "sequence_id": 972, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 13553, "sequence_id": 973, "annotations": []}
{"role": "student", "content": "Actually", "session_id": 13553, "sequence_id": 974, "annotations": []}
{"role": "volunteer", "content": "All right. Hopefully that was helpful.", "session_id": 13553, "sequence_id": 975, "annotations": []}
{"role": "student", "content": "yeah.", "session_id": 13553, "sequence_id": 976, "annotations": []}
{"role": "volunteer", "content": "We just need a couple of more practice problems and you should be good to go.", "session_id": 13553, "sequence_id": 977, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 13553, "sequence_id": 978, "annotations": []}
{"role": "student", "content": "That's like the homework that I was, that I have later.", "session_id": 13553, "sequence_id": 979, "annotations": []}
{"role": "student", "content": "cause I just didn't get it and I was like, oh my God, I, I don't get it.", "session_id": 13553, "sequence_id": 980, "annotations": []}
{"role": "student", "content": "OK", "session_id": 13553, "sequence_id": 981, "annotations": []}
{"role": "volunteer", "content": "Oh, OK. So this is, is the phone book or is it still the class work? You still, you do the homework?", "session_id": 13553, "sequence_id": 982, "annotations": []}
{"role": "student", "content": "Uh, like a class work.", "session_id": 13553, "sequence_id": 983, "annotations": []}
{"role": "volunteer", "content": "Well, this was the homework", "session_id": 13553, "sequence_id": 984, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 13553, "sequence_id": 985, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 13553, "sequence_id": 986, "annotations": []}
{"role": "student", "content": "No, no, no, this was like the classwork a few days ago where they modeled that, they modeled out how to do it, but I didn't get what they did, so.", "session_id": 13553, "sequence_id": 987, "annotations": []}
{"role": "student", "content": "yeah.", "session_id": 13553, "sequence_id": 988, "annotations": []}
{"role": "volunteer", "content": "Got it, got it. OK, got it", "session_id": 13553, "sequence_id": 989, "annotations": []}
{"role": "student", "content": "Um", "session_id": 13553, "sequence_id": 990, "annotations": []}
{"role": "volunteer", "content": "But go through the link if you forget it, the link I shared, I think that should also give, you know, additional color and some practice problems you like.", "session_id": 13553, "sequence_id": 991, "annotations": []}
{"role": "student", "content": "OK. But also, like how would we use the table thing like with the cross on.", "session_id": 13553, "sequence_id": 992, "annotations": []}
{"role": "student", "content": "or is that or or the way we did it, it's like you can't really use it.", "session_id": 13553, "sequence_id": 993, "annotations": []}
{"role": "volunteer", "content": "The table thing is also trying to find factors.", "session_id": 13553, "sequence_id": 994, "annotations": []}
{"role": "student", "content": "that", "session_id": 13553, "sequence_id": 995, "annotations": []}
{"role": "student", "content": "No, no, no, like the cross, like the, the one at the top where it's like 3 X plus W times whatever.", "session_id": 13553, "sequence_id": 996, "annotations": []}
{"role": "volunteer", "content": "Mhm.", "session_id": 13553, "sequence_id": 997, "annotations": []}
{"role": "student", "content": "Like, um, how would we use legends that", "session_id": 13553, "sequence_id": 998, "annotations": []}
{"role": "volunteer", "content": "Oh, you mean the graph", "session_id": 13553, "sequence_id": 999, "annotations": []}
{"role": "student", "content": "Yeah, the grasser", "session_id": 13553, "sequence_id": 1000, "annotations": []}
{"role": "student", "content": "Or is that just like", "session_id": 13553, "sequence_id": 1001, "annotations": []}
{"role": "volunteer", "content": "I don't know", "session_id": 13553, "sequence_id": 1002, "annotations": []}
{"role": "volunteer", "content": "what we're doing there. Oh, you're, you're talking about the area method.", "session_id": 13553, "sequence_id": 1003, "annotations": []}
{"role": "student", "content": "The what now", "session_id": 13553, "sequence_id": 1004, "annotations": []}
{"role": "volunteer", "content": "So there is something called the area method, so let me", "session_id": 13553, "sequence_id": 1005, "annotations": []}
{"role": "volunteer", "content": "show you what. So your answer is X minus 2 and 4 x + 5, right?", "session_id": 13553, "sequence_id": 1006, "annotations": []}
{"role": "student", "content": "Uh", "session_id": 13553, "sequence_id": 1007, "annotations": []}
{"role": "volunteer", "content": "This, this, uh.", "session_id": 13553, "sequence_id": 1008, "annotations": []}
{"role": "student", "content": "Oh yeah, yeah, yeah.", "session_id": 13553, "sequence_id": 1009, "annotations": []}
{"role": "student", "content": "Yeah.", "session_id": 13553, "sequence_id": 1010, "annotations": []}
{"role": "volunteer", "content": "check, check by my markers I'm gonna write something in blue. This one, right?", "session_id": 13553, "sequence_id": 1011, "annotations": []}
{"role": "student", "content": "uh Wait, where are you at the bottom?", "session_id": 13553, "sequence_id": 1012, "annotations": []}
{"role": "volunteer", "content": "Yeah, you scroll down to the bottom.", "session_id": 13553, "sequence_id": 1013, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 13553, "sequence_id": 1014, "annotations": []}
{"role": "volunteer", "content": "See my cursor?", "session_id": 13553, "sequence_id": 1015, "annotations": []}
{"role": "student", "content": "It's just got more lay over time.", "session_id": 13553, "sequence_id": 1016, "annotations": []}
{"role": "volunteer", "content": "It shouldn't", "session_id": 13553, "sequence_id": 1017, "annotations": []}
{"role": "student", "content": "Oh, a computer slow.", "session_id": 13553, "sequence_id": 1018, "annotations": []}
{"role": "student", "content": "Uh, yeah, I have at the bottom.", "session_id": 13553, "sequence_id": 1019, "annotations": []}
{"role": "volunteer", "content": "Yeah, you see my cursor, yeah, good. I see yours now. OK, now, so what, so the, what they're saying is essentially this, uh, bear with me for a second.", "session_id": 13553, "sequence_id": 1020, "annotations": []}
{"role": "student", "content": "Dear.", "session_id": 13553, "sequence_id": 1021, "annotations": []}
{"role": "volunteer", "content": "So think about this as 4 rectangles. Do you see it?", "session_id": 13553, "sequence_id": 1022, "annotations": []}
{"role": "student", "content": "Yeah.", "session_id": 13553, "sequence_id": 1023, "annotations": []}
{"role": "volunteer", "content": "What they're saying is that one rectangle, you put X, X, and then you put 2 here.", "session_id": 13553, "sequence_id": 1024, "annotations": []}
{"role": "student", "content": "Like I don't have like a basic area model works, but", "session_id": 13553, "sequence_id": 1025, "annotations": []}
{"role": "volunteer", "content": "Oh, that's what they're saying, I think. No?", "session_id": 13553, "sequence_id": 1026, "annotations": []}
{"role": "student", "content": "but none like the way they're doing it is like they're converting it into this form and that format. I just don't really get why they're doing with some of that.", "session_id": 13553, "sequence_id": 1027, "annotations": []}
{"role": "volunteer", "content": "I don't know, what you think.", "session_id": 13553, "sequence_id": 1028, "annotations": []}
{"role": "student", "content": "or even like what it does.", "session_id": 13553, "sequence_id": 1029, "annotations": []}
{"role": "volunteer", "content": "Yeah, I don't understand what they're trying to do there then maybe if you're talking about this on the rough work, they did some, you know, factors. Do you see that?", "session_id": 13553, "sequence_id": 1030, "annotations": []}
{"role": "volunteer", "content": "The 36 is 36 multiplied by 1, 18 multiplied by 2, 12. Do you, are you asking that question?", "session_id": 13553, "sequence_id": 1031, "annotations": []}
{"role": "volunteer", "content": "No right", "session_id": 13553, "sequence_id": 1032, "annotations": []}
{"role": "student", "content": "No", "session_id": 13553, "sequence_id": 1033, "annotations": []}
{"role": "volunteer", "content": "I, you.", "session_id": 13553, "sequence_id": 1034, "annotations": []}
{"role": "student", "content": "I mean, I'll just, I'll just ask my teacher if it's fine if I don't use it because the way you told me isn't that complicated. It's", "session_id": 13553, "sequence_id": 1035, "annotations": []}
{"role": "student", "content": "uh", "session_id": 13553, "sequence_id": 1036, "annotations": []}
{"role": "volunteer", "content": "Yeah, I, I don't understand what he's trying to be trying to communicate there.", "session_id": 13553, "sequence_id": 1037, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 13553, "sequence_id": 1038, "annotations": []}
{"role": "student", "content": "Well, I think that's it then.", "session_id": 13553, "sequence_id": 1039, "annotations": []}
{"role": "volunteer", "content": "but", "session_id": 13553, "sequence_id": 1040, "annotations": []}
{"role": "student", "content": "So I have to do the homework", "session_id": 13553, "sequence_id": 1041, "annotations": []}
{"role": "student", "content": "a look", "session_id": 13553, "sequence_id": 1042, "annotations": []}
{"role": "volunteer", "content": "All right, good luck with the homework. I think this should be easy now that you have this.", "session_id": 13553, "sequence_id": 1043, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 13553, "sequence_id": 1044, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 13553, "sequence_id": 1045, "annotations": []}
{"role": "volunteer", "content": "All right, have a good evening", "session_id": 13553, "sequence_id": 1046, "annotations": []}
{"role": "student", "content": "but", "session_id": 13553, "sequence_id": 1047, "annotations": []}
{"role": "volunteer", "content": "Yeah, bye", "session_id": 13553, "sequence_id": 1048, "annotations": []}
{"role": "volunteer", "content": "Hello", "session_id": 13654, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "Hello Emily, how are you?", "session_id": 13654, "sequence_id": 1, "annotations": [{"pii_type": "PERSON", "surrogate": "Emily", "start": 6, "end": 11}]}
{"role": "volunteer", "content": "I am fine, how are you?", "session_id": 13654, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "I'm fine thanks", "session_id": 13654, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "so we started a topic called higher order derivatives and graphs and I'm kind of confused, so I wanted to see if you could maybe help", "session_id": 13654, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "do you have a question that you are working on?", "session_id": 13654, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "Yes, but do you know what they are?", "session_id": 13654, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "Yes, I know what higher order derivatives are.", "session_id": 13654, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "okay, I'll put something on the board", "session_id": 13654, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "first question", "session_id": 13654, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "how do you find the derivative of e with that big number 2470", "session_id": 13654, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "what is f' ?", "session_id": 13654, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "not f' f''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''", "session_id": 13654, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "basically f(2470)", "session_id": 13654, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "I am asking you to first find f'", "session_id": 13654, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "do you know how to do that?", "session_id": 13654, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "2e^(2x)", "session_id": 13654, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "OK, what is f\"", "session_id": 13654, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "4e^2x", "session_id": 13654, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "Yes, but let's write it a bit differently", "session_id": 13654, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "What is the third derivative?", "session_id": 13654, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "2^3e^2x", "session_id": 13654, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "what is f(4)?", "session_id": 13654, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "do you see the pattern?", "session_id": 13654, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "is all you are trying to say is that whenever you are trying to find such a big derivative for the power of e^smth, all you do is keep the 2 and just put the big number to the power of it?", "session_id": 13654, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "I am asking if you see a pattern?", "session_id": 13654, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "yes, that's what I was explaining", "session_id": 13654, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "good.", "session_id": 13654, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "Any questions about that?", "session_id": 13654, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "no i guess we can move on", "session_id": 13654, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "there is the next one", "session_id": 13654, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "I wrote the answer, just to make sure.", "session_id": 13654, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "ok", "session_id": 13654, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "Is that the graph of y=f(x)?", "session_id": 13654, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "i guess", "session_id": 13654, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "this is a different question", "session_id": 13654, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "It should say in the problem. Is it the graph of f(x) or f'(x)?", "session_id": 13654, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "it's f(x) since in the answer it's asking for f'(x) and f''(x)", "session_id": 13654, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "Well, that's not actually true, but let's assume that it's f(x)", "session_id": 13654, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "ok", "session_id": 13654, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "Assuming that the graph is f(x), is f'(a) >0  or <0  ?", "session_id": 13654, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "i wanna say >0", "session_id": 13654, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "You don't sound very sure. Why is f' >0 at that point?", "session_id": 13654, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "i am sure, it's bc the slope of the tangent line is increasing and looks higher than 0", "session_id": 13654, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "You mean that the tangent line has a positive slope.  That's right.  Also, even without thinking about the tangent line, you can see that the function is increasing at that point.  If a function is increasing then f' >0", "session_id": 13654, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "How about f\" ?", "session_id": 13654, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "but on the notes he was confusing us saying that for example(watch what I'm doing on the board) is increasing", "session_id": 13654, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "how to know that a function is increasing?", "session_id": 13654, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "He is not talking about the function increasing.", "session_id": 13654, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "we will get to that.", "session_id": 13654, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "at the blue point, is the curve concave up or concave down?", "session_id": 13654, "sequence_id": 50, "annotations": []}
{"role": "student", "content": "Right now I'm not talking about the concavity yet, I'm just talking about that portion, but ok", "session_id": 13654, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "down", "session_id": 13654, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "When a curve is concave down, is f\"  >0 or <0 ?", "session_id": 13654, "sequence_id": 53, "annotations": []}
{"role": "student", "content": "that Idk sorry", "session_id": 13654, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "OK, you haven't learned that yet.", "session_id": 13654, "sequence_id": 55, "annotations": []}
{"role": "student", "content": "as I said, he did talk about it, but I'm js so confused with his explanations", "session_id": 13654, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "I drew three tangent lines, A B and C", "session_id": 13654, "sequence_id": 57, "annotations": []}
{"role": "student", "content": "ok", "session_id": 13654, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "what might be an estimate for the slope of A, just roughly?", "session_id": 13654, "sequence_id": 59, "annotations": []}
{"role": "student", "content": "-2, maybe?", "session_id": 13654, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 13654, "sequence_id": 61, "annotations": []}
{"role": "student", "content": "0", "session_id": 13654, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "How about at B?", "session_id": 13654, "sequence_id": 63, "annotations": []}
{"role": "student", "content": "1.7", "session_id": 13654, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "OK, so is the f',  the first derivative, increasing of decreasing over that interval (we would call the curve there concave up, because it is facing up", "session_id": 13654, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "Again, as we go from A to B to C, is f' increasing or decreasing", "session_id": 13654, "sequence_id": 66, "annotations": []}
{"role": "student", "content": "it's increasing", "session_id": 13654, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "right.", "session_id": 13654, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "Now, f\", the second derivative, is the derivative of f', right?", "session_id": 13654, "sequence_id": 69, "annotations": []}
{"role": "student", "content": "yes", "session_id": 13654, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "so if f' is increasiing as you go from A to C, would you expect f\" to be >0 or <0?", "session_id": 13654, "sequence_id": 71, "annotations": []}
{"role": "student", "content": "to find that out should I draw a second graph based on the estimated slopes we found or is there an easier way?", "session_id": 13654, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "the point is that the derivative tells us if a function is increasing or decreasing.  f' is itself a function.  If you tell me that f' is increasing over an interval, then that means that the derivative of f' should be>0, and the derivative of f' is f\".", "session_id": 13654, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "so if f' is increasing over an interval, then f\" on that interval would be >0", "session_id": 13654, "sequence_id": 74, "annotations": []}
{"role": "student", "content": "so that make sense, if f' isincreasing on that interval then f'' is also increasing on that interval?", "session_id": 13654, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "Exactly.", "session_id": 13654, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "no, sorry", "session_id": 13654, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "f\" is positive over that interval.", "session_id": 13654, "sequence_id": 78, "annotations": []}
{"role": "student", "content": "wym no sorry?", "session_id": 13654, "sequence_id": 79, "annotations": []}
{"role": "student", "content": "so f'' is not increasing?", "session_id": 13654, "sequence_id": 80, "annotations": []}
{"role": "volunteer", "content": "f\">0,  being >0 is not the same thing as increasing.", "session_id": 13654, "sequence_id": 81, "annotations": []}
{"role": "volunteer", "content": "Using a similar argument, we can see that f\" <0 where the blue point is, where the curve is facing down.", "session_id": 13654, "sequence_id": 82, "annotations": []}
{"role": "student", "content": "okay how to know smth is positive vs increasing", "session_id": 13654, "sequence_id": 83, "annotations": []}
{"role": "volunteer", "content": "In this case, they just want to know if f\" is <0 or >0  at the blue point.", "session_id": 13654, "sequence_id": 84, "annotations": []}
{"role": "student", "content": "I'm asking just in case in the future I'm asked that", "session_id": 13654, "sequence_id": 85, "annotations": []}
{"role": "volunteer", "content": "Something happened to the site. Are you still there?", "session_id": 13654, "sequence_id": 86, "annotations": []}
{"role": "volunteer", "content": "but since you can see that on the left f\" >0 and on the right f\"<0, then that that means that as you move from from A to the blue point, f\" must be decreasing", "session_id": 13654, "sequence_id": 87, "annotations": []}
{"role": "volunteer", "content": "Hello?", "session_id": 13654, "sequence_id": 88, "annotations": []}
{"role": "student", "content": "sorry", "session_id": 13654, "sequence_id": 89, "annotations": []}
{"role": "student", "content": "I got disconnected for a long time and js got back :(", "session_id": 13654, "sequence_id": 90, "annotations": []}
{"role": "volunteer", "content": "Do you understand this question now?", "session_id": 13654, "sequence_id": 91, "annotations": []}
{"role": "student", "content": "okay so let me recap and tell me if I'm correct", "session_id": 13654, "sequence_id": 92, "annotations": []}
{"role": "student", "content": "so where the blue point is f' is decreasing because the slopes around that curve are going from estimate 1.7, 0 to -2, and this then means that f'' is <0", "session_id": 13654, "sequence_id": 93, "annotations": []}
{"role": "volunteer", "content": "yes, that's right.   It's the fact that f' is decreasing (which means f\" <0) that gives the curve that concave/facing downward look.", "session_id": 13654, "sequence_id": 94, "annotations": []}
{"role": "volunteer", "content": "concave down/facing downwards", "session_id": 13654, "sequence_id": 95, "annotations": []}
{"role": "student", "content": "does being concave up or down say anything at all?", "session_id": 13654, "sequence_id": 96, "annotations": []}
{"role": "volunteer", "content": "They describe the shape of the graph.  That's something you couldn't do as well with just algebra", "session_id": 13654, "sequence_id": 97, "annotations": []}
{"role": "student", "content": "what I'm asking is does the graph being concave up or down tell us that it's increasing, decreasing, positive or negative?", "session_id": 13654, "sequence_id": 98, "annotations": []}
{"role": "student", "content": "at all?", "session_id": 13654, "sequence_id": 99, "annotations": []}
{"role": "volunteer", "content": "It tells the shape, as I drew on the board. Do you see that?", "session_id": 13654, "sequence_id": 100, "annotations": []}
{"role": "student", "content": "yes i see", "session_id": 13654, "sequence_id": 101, "annotations": []}
{"role": "volunteer", "content": "It wouldn't tell if the function is positive or negative.  the curve could be above or below the x axis. it could be anywhere", "session_id": 13654, "sequence_id": 102, "annotations": []}
{"role": "student", "content": "ok", "session_id": 13654, "sequence_id": 103, "annotations": []}
{"role": "student", "content": "another question i have is f' or f'' being <0 or >0, does that say if it's positive or negative?", "session_id": 13654, "sequence_id": 104, "annotations": []}
{"role": "volunteer", "content": "Numbers that are <0 are negative and numbers that are >0 are positive", "session_id": 13654, "sequence_id": 105, "annotations": []}
{"role": "volunteer", "content": "Are you all set now?", "session_id": 13654, "sequence_id": 106, "annotations": []}
{"role": "student", "content": "okay that makes so much sense thx", "session_id": 13654, "sequence_id": 107, "annotations": []}
{"role": "student", "content": "Do you have to go or you got a little bit of time?", "session_id": 13654, "sequence_id": 108, "annotations": []}
{"role": "volunteer", "content": "I can do another question.", "session_id": 13654, "sequence_id": 109, "annotations": []}
{"role": "student", "content": "okay thx one min", "session_id": 13654, "sequence_id": 110, "annotations": []}
{"role": "volunteer", "content": "what do you think?", "session_id": 13654, "sequence_id": 111, "annotations": []}
{"role": "volunteer", "content": "hello, are you there?", "session_id": 13654, "sequence_id": 112, "annotations": []}
{"role": "student", "content": "sorry", "session_id": 13654, "sequence_id": 113, "annotations": []}
{"role": "student", "content": "Do we have to create our own graph?", "session_id": 13654, "sequence_id": 114, "annotations": []}
{"role": "volunteer", "content": "You can, but it's not necessary", "session_id": 13654, "sequence_id": 115, "annotations": []}
{"role": "student", "content": "okay, so what do we do then?", "session_id": 13654, "sequence_id": 116, "annotations": []}
{"role": "volunteer", "content": "First of all, is f'(2)) most likely postive or negative?", "session_id": 13654, "sequence_id": 117, "annotations": []}
{"role": "student", "content": "maybe positive??", "session_id": 13654, "sequence_id": 118, "annotations": []}
{"role": "volunteer", "content": "what does a derivative >0 mean for a graph?", "session_id": 13654, "sequence_id": 119, "annotations": []}
{"role": "student", "content": "increasing", "session_id": 13654, "sequence_id": 120, "annotations": []}
{"role": "volunteer", "content": "Yes. It is important to remember that.  Does it look like the function is increasing?", "session_id": 13654, "sequence_id": 121, "annotations": []}
{"role": "student", "content": "no it's decreasing", "session_id": 13654, "sequence_id": 122, "annotations": []}
{"role": "volunteer", "content": "Yes.  For a fn to be increasing, that means that as x increases (as you move left), f(x) would go up,  But here, it looks like f(x) is going down, so f(x) is most likely decreasing.", "session_id": 13654, "sequence_id": 123, "annotations": []}
{"role": "student", "content": "yes", "session_id": 13654, "sequence_id": 124, "annotations": []}
{"role": "volunteer", "content": "We can estimate the slopes of the tangent lines at x =2, 2.1, 2.2", "session_id": 13654, "sequence_id": 125, "annotations": []}
{"role": "volunteer", "content": "we can do that by figuring out the rate of change between the points that they give us.", "session_id": 13654, "sequence_id": 126, "annotations": []}
{"role": "volunteer", "content": "What is the rate of change (the slope of the line) between (2,3) and (2.1,2.7) ?", "session_id": 13654, "sequence_id": 127, "annotations": []}
{"role": "volunteer", "content": "That average rate of change gives us a rough estimate of the slope of the tangent line at x =2", "session_id": 13654, "sequence_id": 128, "annotations": []}
{"role": "volunteer", "content": "Now let's move to the right.", "session_id": 13654, "sequence_id": 129, "annotations": []}
{"role": "volunteer", "content": "let's get the rate of change between the next two points", "session_id": 13654, "sequence_id": 130, "annotations": []}
{"role": "volunteer", "content": "One more", "session_id": 13654, "sequence_id": 131, "annotations": []}
{"role": "volunteer", "content": "Good work.  So, does it look like f' is increasing or decreasing over the interval from x =2 to x =2.3?", "session_id": 13654, "sequence_id": 132, "annotations": []}
{"role": "student", "content": "it's increasing", "session_id": 13654, "sequence_id": 133, "annotations": []}
{"role": "volunteer", "content": "Yes", "session_id": 13654, "sequence_id": 134, "annotations": []}
{"role": "volunteer", "content": "so will this curve be concave up (f\">0)  or concave down (f\"<0)?", "session_id": 13654, "sequence_id": 135, "annotations": []}
{"role": "student", "content": "this will be concave up", "session_id": 13654, "sequence_id": 136, "annotations": []}
{"role": "volunteer", "content": "that's right.", "session_id": 13654, "sequence_id": 137, "annotations": []}
{"role": "volunteer", "content": "I also plotted them on Desmos, so you can see.", "session_id": 13654, "sequence_id": 138, "annotations": []}
{"role": "volunteer", "content": "I think you can see that the curve looks concave up.", "session_id": 13654, "sequence_id": 139, "annotations": []}
{"role": "student", "content": "yope", "session_id": 13654, "sequence_id": 140, "annotations": []}
{"role": "student", "content": "to recap, first we found out that f(x) was decreasing, then we looked for the slopes and found out that f'(x) is increase which led us to the knowledge that f\" is concave up or >0, correct?", "session_id": 13654, "sequence_id": 141, "annotations": []}
{"role": "volunteer", "content": "yes, that's right", "session_id": 13654, "sequence_id": 142, "annotations": []}
{"role": "volunteer", "content": "We used the average rate of change over small intervals to estimate the slope of the tangents lines", "session_id": 13654, "sequence_id": 143, "annotations": []}
{"role": "student", "content": "okay now questions time, first question why did we need to find out if f(x) was increasing or decreasing?", "session_id": 13654, "sequence_id": 144, "annotations": []}
{"role": "volunteer", "content": "because the question asked if f'(2)) most likely >0 or <0.  If f(x) is increasing that means f'(2)) >0 and if f(x) is decreasing that means that f'(2) <0", "session_id": 13654, "sequence_id": 145, "annotations": []}
{"role": "student", "content": "wait so the shape of f(x) helps us know the answer for f'(x) and the shape of f'(x) helps us know the answer for f''(x)?", "session_id": 13654, "sequence_id": 146, "annotations": []}
{"role": "volunteer", "content": "The shape of f(x) helps you to know both f' and f\".", "session_id": 13654, "sequence_id": 147, "annotations": []}
{"role": "volunteer", "content": "if f(x) is increasing over an interval, then f' will be >0 over the that interval.", "session_id": 13654, "sequence_id": 148, "annotations": []}
{"role": "volunteer", "content": "if f(x) is concave up over an interval, then f\" will be >0 over that interval", "session_id": 13654, "sequence_id": 149, "annotations": []}
{"role": "volunteer", "content": "You don't have the graph of f' ( although you will be given graphs to f' to analyze at some point).", "session_id": 13654, "sequence_id": 150, "annotations": []}
{"role": "student", "content": "so if f(x) tell us both f'(x) and f''(x) what will the graph of f'(x) help with?", "session_id": 13654, "sequence_id": 151, "annotations": []}
{"role": "volunteer", "content": "You will eventually get questions asking you to analyze graphs of f'.  I wouldn't worry about that right now.  A graph of velocity is a graph of f'", "session_id": 13654, "sequence_id": 152, "annotations": []}
{"role": "student", "content": "oh okay so, just tell me everything i need to know then, and then I'll let you go, When I have either a graph or a table, what are the steps I should take in order to find the right answer?", "session_id": 13654, "sequence_id": 153, "annotations": []}
{"role": "volunteer", "content": "I am not sure what you are asking.  We just did a question with table.  If you look at a part of a graph where the curve is concave up, f\" will be >0 there", "session_id": 13654, "sequence_id": 154, "annotations": []}
{"role": "student", "content": "i was basically just asking you to recap our session in your own words meaning, just tell me first thing you look at is blah blah then it's this and that and to finish this and that, that's it", "session_id": 13654, "sequence_id": 155, "annotations": []}
{"role": "volunteer", "content": "The most important thing is to remember that the derivative is a slope, the slope of a tangent line at a point. So if a fn is increasing, then f' will be positive.  if f' is itself increasing over an interval, meaning the slopes are increasing, which means the second derivative will be >0, and that makes the curve look concave up.", "session_id": 13654, "sequence_id": 156, "annotations": []}
{"role": "volunteer", "content": "This should all become clearer as you do more problems.", "session_id": 13654, "sequence_id": 157, "annotations": []}
{"role": "student", "content": "okay thank you!", "session_id": 13654, "sequence_id": 158, "annotations": []}
{"role": "volunteer", "content": "You are very welcome.", "session_id": 13654, "sequence_id": 159, "annotations": []}
{"role": "volunteer", "content": "Have a good rest of the day!", "session_id": 13654, "sequence_id": 160, "annotations": []}
{"role": "student", "content": "YOu too!", "session_id": 13654, "sequence_id": 161, "annotations": []}
{"role": "volunteer", "content": "bye", "session_id": 13654, "sequence_id": 162, "annotations": []}
{"role": "volunteer", "content": "hello", "session_id": 13878, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "Greetings, Mr. David!", "session_id": 13878, "sequence_id": 1, "annotations": [{"pii_type": "PERSON", "surrogate": "Mr. David", "start": 11, "end": 20}]}
{"role": "student", "content": "How are you doing today?", "session_id": 13878, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "ok,!,..what are we doin?", "session_id": 13878, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "Awesome!", "session_id": 13878, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "So, I have a Geometry assignment I have to complete.", "session_id": 13878, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "It shouldn't take that long.", "session_id": 13878, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "It's only a few questions.", "session_id": 13878, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "famous last words", "session_id": 13878, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "?", "session_id": 13878, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "being funny", "session_id": 13878, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "I did the rest of my HW earlier.", "session_id": 13878, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "oh", "session_id": 13878, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "haha", "session_id": 13878, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "May I post my assignment on the board", "session_id": 13878, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 13878, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "Mr. David", "session_id": 13878, "sequence_id": 16, "annotations": [{"pii_type": "PERSON", "surrogate": "Mr. David", "start": 0, "end": 9}]}
{"role": "student", "content": "also", "session_id": 13878, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "just letting u know", "session_id": 13878, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "my computer may freeze at times", "session_id": 13878, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "my head may freeze too", "session_id": 13878, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "(It hasnt happened so far)", "session_id": 13878, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "oh lol", "session_id": 13878, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "same", "session_id": 13878, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "so i hope it wont happen", "session_id": 13878, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "and when my computer freezes it takes me like 10 minsfor it to work again", "session_id": 13878, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "ok", "session_id": 13878, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "one sec", "session_id": 13878, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "so before we assume", "session_id": 13878, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "my teacher wants us to do odds (thank god)", "session_id": 13878, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "k", "session_id": 13878, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "whats the question on 43?", "session_id": 13878, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "so i have to do 43, 47, 49", "session_id": 13878, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "and 53 and 54 (will post after)", "session_id": 13878, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "Mr. David", "session_id": 13878, "sequence_id": 34, "annotations": [{"pii_type": "PERSON", "surrogate": "Mr. David", "start": 0, "end": 9}]}
{"role": "student", "content": "so 5 problems", "session_id": 13878, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "thank*", "session_id": 13878, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "oops", "session_id": 13878, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 13878, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "the question", "session_id": 13878, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "Determine which line passing through the given points has a steeper slope.", "session_id": 13878, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "thats the question", "session_id": 13878, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "ok so lets find the slopes of each using the y2-y1/x2-x1 method", "session_id": 13878, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "can ya?", "session_id": 13878, "sequence_id": 43, "annotations": []}
{"role": "student", "content": "yea", "session_id": 13878, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "0+4/7+9", "session_id": 13878, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "this slope is horizontal mu m=0", "session_id": 13878, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "no", "session_id": 13878, "sequence_id": 47, "annotations": []}
{"role": "student", "content": "nevermind", "session_id": 13878, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "its not", "session_id": 13878, "sequence_id": 49, "annotations": []}
{"role": "student", "content": "haha", "session_id": 13878, "sequence_id": 50, "annotations": []}
{"role": "student", "content": "its 1/4", "session_id": 13878, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "for line 1", "session_id": 13878, "sequence_id": 52, "annotations": []}
{"role": "student", "content": "for line 2", "session_id": 13878, "sequence_id": 53, "annotations": []}
{"role": "student", "content": "4-1/7-0", "session_id": 13878, "sequence_id": 54, "annotations": []}
{"role": "student", "content": "3/7 is the slope", "session_id": 13878, "sequence_id": 55, "annotations": []}
{"role": "student", "content": "line 2 has a steeper slope right", "session_id": 13878, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "yes, 3/7 is bigger that 1/4", "session_id": 13878, "sequence_id": 57, "annotations": []}
{"role": "student", "content": "yay", "session_id": 13878, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "assuming you did it right, ha", "session_id": 13878, "sequence_id": 59, "annotations": []}
{"role": "student", "content": "i did it mentally lol", "session_id": 13878, "sequence_id": 60, "annotations": []}
{"role": "student", "content": "im in Grade 10 honors", "session_id": 13878, "sequence_id": 61, "annotations": [{"pii_type": "GRADE_LEVEL", "surrogate": "Grade 10 honors", "start": 6, "end": 21}]}
{"role": "volunteer", "content": "ok", "session_id": 13878, "sequence_id": 62, "annotations": []}
{"role": "student", "content": "im confused on 47", "session_id": 13878, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "hows about 47", "session_id": 13878, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "ill set it uyp", "session_id": 13878, "sequence_id": 65, "annotations": []}
{"role": "student", "content": "ill find the slope on the first line", "session_id": 13878, "sequence_id": 66, "annotations": []}
{"role": "student", "content": "-3/4", "session_id": 13878, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "ok and set that equal to the next line slope form", "session_id": 13878, "sequence_id": 68, "annotations": []}
{"role": "student", "content": "i dont quite get it", "session_id": 13878, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "ok, see board", "session_id": 13878, "sequence_id": 70, "annotations": []}
{"role": "student", "content": "yes", "session_id": 13878, "sequence_id": 71, "annotations": []}
{"role": "student", "content": "-8", "session_id": 13878, "sequence_id": 72, "annotations": []}
{"role": "student", "content": "y=-8?", "session_id": 13878, "sequence_id": 73, "annotations": []}
{"role": "student", "content": "i did that off the top of my head", "session_id": 13878, "sequence_id": 74, "annotations": []}
{"role": "volunteer", "content": "yes!!!!!!!!!!!!!!!!!!!!", "session_id": 13878, "sequence_id": 75, "annotations": []}
{"role": "student", "content": "YAY", "session_id": 13878, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "same thing for question 49", "session_id": 13878, "sequence_id": 77, "annotations": []}
{"role": "student", "content": "could you show me how to do the work", "session_id": 13878, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "only now they are negative reciprocals", "session_id": 13878, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "k", "session_id": 13878, "sequence_id": 80, "annotations": []}
{"role": "student", "content": "instead of doing it in your head", "session_id": 13878, "sequence_id": 81, "annotations": []}
{"role": "volunteer", "content": "i simplifiy first", "session_id": 13878, "sequence_id": 82, "annotations": []}
{"role": "volunteer", "content": "first ill get the slope of the other and flip it and - it", "session_id": 13878, "sequence_id": 83, "annotations": []}
{"role": "volunteer", "content": "oh wait ,...we are doing the two //", "session_id": 13878, "sequence_id": 84, "annotations": []}
{"role": "volunteer", "content": "i was looking at 48, duh", "session_id": 13878, "sequence_id": 85, "annotations": []}
{"role": "student", "content": "ok", "session_id": 13878, "sequence_id": 86, "annotations": []}
{"role": "volunteer", "content": "ok, so we gotta make them equal", "session_id": 13878, "sequence_id": 87, "annotations": []}
{"role": "student", "content": "ok", "session_id": 13878, "sequence_id": 88, "annotations": []}
{"role": "volunteer", "content": "if you solve for y,www.mathsolver.com get y = 0", "session_id": 13878, "sequence_id": 89, "annotations": [{"pii_type": "URL", "surrogate": "www.mathsolver.com", "start": 19, "end": 37}]}
{"role": "volunteer", "content": "see?", "session_id": 13878, "sequence_id": 90, "annotations": []}
{"role": "student", "content": "yes", "session_id": 13878, "sequence_id": 91, "annotations": []}
{"role": "volunteer", "content": "just did the algebra to get y=0", "session_id": 13878, "sequence_id": 92, "annotations": []}
{"role": "student", "content": "i thought y was 8", "session_id": 13878, "sequence_id": 93, "annotations": []}
{"role": "volunteer", "content": "tricky lil question", "session_id": 13878, "sequence_id": 94, "annotations": []}
{"role": "student", "content": "im confused", "session_id": 13878, "sequence_id": 95, "annotations": []}
{"role": "volunteer", "content": "how I got zero?", "session_id": 13878, "sequence_id": 96, "annotations": []}
{"role": "student", "content": "yea", "session_id": 13878, "sequence_id": 97, "annotations": []}
{"role": "student", "content": "and how you got 3/2", "session_id": 13878, "sequence_id": 98, "annotations": []}
{"role": "volunteer", "content": "made y=0", "session_id": 13878, "sequence_id": 99, "annotations": []}
{"role": "volunteer", "content": "0+3/2", "session_id": 13878, "sequence_id": 100, "annotations": []}
{"role": "student", "content": "ohhh", "session_id": 13878, "sequence_id": 101, "annotations": []}
{"role": "volunteer", "content": "and 0 +6/4 = 6/4", "session_id": 13878, "sequence_id": 102, "annotations": []}
{"role": "volunteer", "content": "i didnt see it till i solved for y though", "session_id": 13878, "sequence_id": 103, "annotations": []}
{"role": "volunteer", "content": "need me to show you that?", "session_id": 13878, "sequence_id": 104, "annotations": []}
{"role": "student", "content": "but i also got 8", "session_id": 13878, "sequence_id": 105, "annotations": []}
{"role": "student", "content": "is the answer 3/2 or 8", "session_id": 13878, "sequence_id": 106, "annotations": []}
{"role": "volunteer", "content": "3/2", "session_id": 13878, "sequence_id": 107, "annotations": []}
{"role": "volunteer", "content": "ill do it on board", "session_id": 13878, "sequence_id": 108, "annotations": []}
{"role": "volunteer", "content": "cross multiply", "session_id": 13878, "sequence_id": 109, "annotations": []}
{"role": "student", "content": "`ok", "session_id": 13878, "sequence_id": 110, "annotations": []}
{"role": "student", "content": "oh", "session_id": 13878, "sequence_id": 111, "annotations": []}
{"role": "student", "content": "so 2(y+6)", "session_id": 13878, "sequence_id": 112, "annotations": []}
{"role": "student", "content": "ohhhhhhhhhhhhhhhhhh", "session_id": 13878, "sequence_id": 113, "annotations": []}
{"role": "student", "content": "i get it now", "session_id": 13878, "sequence_id": 114, "annotations": []}
{"role": "student", "content": "and then u plug 0 back in right", "session_id": 13878, "sequence_id": 115, "annotations": []}
{"role": "volunteer", "content": "yup", "session_id": 13878, "sequence_id": 116, "annotations": []}
{"role": "student", "content": "and also", "session_id": 13878, "sequence_id": 117, "annotations": []}
{"role": "student", "content": "how did you get y--3/3-1", "session_id": 13878, "sequence_id": 118, "annotations": []}
{"role": "student", "content": "and y--6/9-5", "session_id": 13878, "sequence_id": 119, "annotations": []}
{"role": "volunteer", "content": "the slope form of the lines", "session_id": 13878, "sequence_id": 120, "annotations": []}
{"role": "volunteer", "content": "y2-y1/x2-x1", "session_id": 13878, "sequence_id": 121, "annotations": []}
{"role": "volunteer", "content": "==slope", "session_id": 13878, "sequence_id": 122, "annotations": []}
{"role": "student", "content": "ohhh i see", "session_id": 13878, "sequence_id": 123, "annotations": []}
{"role": "volunteer", "content": "we ok?", "session_id": 13878, "sequence_id": 124, "annotations": []}
{"role": "student", "content": "so its 4,3/2 right", "session_id": 13878, "sequence_id": 125, "annotations": []}
{"role": "volunteer", "content": "y=0", "session_id": 13878, "sequence_id": 126, "annotations": []}
{"role": "student", "content": "4,0", "session_id": 13878, "sequence_id": 127, "annotations": []}
{"role": "volunteer", "content": "they want the value of y", "session_id": 13878, "sequence_id": 128, "annotations": []}
{"role": "student", "content": "then what do we do with 3/2", "session_id": 13878, "sequence_id": 129, "annotations": []}
{"role": "student", "content": "and in the other equation -8", "session_id": 13878, "sequence_id": 130, "annotations": []}
{"role": "volunteer", "content": "just the two slopes have to be equal to be parallel", "session_id": 13878, "sequence_id": 131, "annotations": []}
{"role": "volunteer", "content": "if y is zero, we get equal slopes", "session_id": 13878, "sequence_id": 132, "annotations": []}
{"role": "student", "content": "ok", "session_id": 13878, "sequence_id": 133, "annotations": []}
{"role": "student", "content": "so y is 0", "session_id": 13878, "sequence_id": 134, "annotations": []}
{"role": "volunteer", "content": "yup", "session_id": 13878, "sequence_id": 135, "annotations": []}
{"role": "student", "content": "ok and thats the final answer", "session_id": 13878, "sequence_id": 136, "annotations": []}
{"role": "volunteer", "content": "yes, you sound like the guy on \"Who wants to be a millionaire\"", "session_id": 13878, "sequence_id": 137, "annotations": []}
{"role": "student", "content": "HA", "session_id": 13878, "sequence_id": 138, "annotations": []}
{"role": "student", "content": "HA", "session_id": 13878, "sequence_id": 139, "annotations": []}
{"role": "student", "content": "HA", "session_id": 13878, "sequence_id": 140, "annotations": []}
{"role": "student", "content": "HA", "session_id": 13878, "sequence_id": 141, "annotations": []}
{"role": "volunteer", "content": "what else,...we got", "session_id": 13878, "sequence_id": 142, "annotations": []}
{"role": "student", "content": "49", "session_id": 13878, "sequence_id": 143, "annotations": []}
{"role": "student", "content": "53", "session_id": 13878, "sequence_id": 144, "annotations": []}
{"role": "student", "content": "and 54", "session_id": 13878, "sequence_id": 145, "annotations": []}
{"role": "student", "content": "ill post 53 and 54 after 49", "session_id": 13878, "sequence_id": 146, "annotations": []}
{"role": "volunteer", "content": "we just did 49", "session_id": 13878, "sequence_id": 147, "annotations": []}
{"role": "volunteer", "content": "k", "session_id": 13878, "sequence_id": 148, "annotations": []}
{"role": "student", "content": "we did?", "session_id": 13878, "sequence_id": 149, "annotations": []}
{"role": "student", "content": "i thought we did 47 just now", "session_id": 13878, "sequence_id": 150, "annotations": []}
{"role": "student", "content": "im so confused", "session_id": 13878, "sequence_id": 151, "annotations": []}
{"role": "volunteer", "content": "we did 47 above", "session_id": 13878, "sequence_id": 152, "annotations": []}
{"role": "volunteer", "content": "you found it y to be -8", "session_id": 13878, "sequence_id": 153, "annotations": []}
{"role": "student", "content": "oh", "session_id": 13878, "sequence_id": 154, "annotations": []}
{"role": "student", "content": "and 49 is 0 right", "session_id": 13878, "sequence_id": 155, "annotations": []}
{"role": "volunteer", "content": "hey Im supposed to  be the old one losing memory", "session_id": 13878, "sequence_id": 156, "annotations": []}
{"role": "volunteer", "content": "yup", "session_id": 13878, "sequence_id": 157, "annotations": []}
{"role": "student", "content": "im just tired", "session_id": 13878, "sequence_id": 158, "annotations": []}
{"role": "student", "content": "lol", "session_id": 13878, "sequence_id": 159, "annotations": []}
{"role": "volunteer", "content": "i gotta go soon", "session_id": 13878, "sequence_id": 160, "annotations": []}
{"role": "student", "content": "bro i overslepped and skipped 25 mins of class today (biology)", "session_id": 13878, "sequence_id": 161, "annotations": []}
{"role": "student", "content": "anyways", "session_id": 13878, "sequence_id": 162, "annotations": []}
{"role": "student", "content": "we are almost done", "session_id": 13878, "sequence_id": 163, "annotations": []}
{"role": "student", "content": "I think Mr. David is right", "session_id": 13878, "sequence_id": 164, "annotations": [{"pii_type": "PERSON", "surrogate": "Mr. David", "start": 8, "end": 17}]}
{"role": "student", "content": "becaue he did y2-y1/x2-x1", "session_id": 13878, "sequence_id": 165, "annotations": []}
{"role": "student", "content": "and Ms. Green did y2-y1/x2-<US_DRIVER_LICENSE>", "session_id": 13878, "sequence_id": 166, "annotations": [{"pii_type": "PERSON", "surrogate": "Ms. Green", "start": 4, "end": 13}]}
{"role": "student", "content": "which is wrong", "session_id": 13878, "sequence_id": 167, "annotations": []}
{"role": "student", "content": "riht", "session_id": 13878, "sequence_id": 168, "annotations": []}
{"role": "student", "content": "right*", "session_id": 13878, "sequence_id": 169, "annotations": []}
{"role": "volunteer", "content": "yea", "session_id": 13878, "sequence_id": 170, "annotations": []}
{"role": "student", "content": "yay", "session_id": 13878, "sequence_id": 171, "annotations": []}
{"role": "student", "content": "and last one", "session_id": 13878, "sequence_id": 172, "annotations": []}
{"role": "student", "content": "i can do 54a with a grphing calculator", "session_id": 13878, "sequence_id": 173, "annotations": []}
{"role": "student", "content": "one sec", "session_id": 13878, "sequence_id": 174, "annotations": []}
{"role": "volunteer", "content": "coordinates of B and D", "session_id": 13878, "sequence_id": 175, "annotations": []}
{"role": "volunteer", "content": "I have it on board", "session_id": 13878, "sequence_id": 176, "annotations": []}
{"role": "student", "content": "(2,4) is b", "session_id": 13878, "sequence_id": 177, "annotations": []}
{"role": "student", "content": "(10,-4) is d", "session_id": 13878, "sequence_id": 178, "annotations": []}
{"role": "student", "content": "right", "session_id": 13878, "sequence_id": 179, "annotations": []}
{"role": "volunteer", "content": "horizontal line has slope of zero", "session_id": 13878, "sequence_id": 180, "annotations": []}
{"role": "volunteer", "content": "vertical lines have undefined slope cuz we cant divide by zero", "session_id": 13878, "sequence_id": 181, "annotations": []}
{"role": "volunteer", "content": "are we good?", "session_id": 13878, "sequence_id": 182, "annotations": []}
{"role": "student", "content": "yea", "session_id": 13878, "sequence_id": 183, "annotations": []}
{"role": "volunteer", "content": "cool", "session_id": 13878, "sequence_id": 184, "annotations": []}
{"role": "volunteer", "content": "good luck!!", "session_id": 13878, "sequence_id": 185, "annotations": []}
{"role": "student", "content": "what do u mean good luck", "session_id": 13878, "sequence_id": 186, "annotations": []}
{"role": "volunteer", "content": "just a phrase", "session_id": 13878, "sequence_id": 187, "annotations": []}
{"role": "student", "content": "oh i thought u were leaving for a sec", "session_id": 13878, "sequence_id": 188, "annotations": []}
{"role": "volunteer", "content": "i thought we were", "session_id": 13878, "sequence_id": 189, "annotations": []}
{"role": "student", "content": "?", "session_id": 13878, "sequence_id": 190, "annotations": []}
{"role": "student", "content": "is a correct", "session_id": 13878, "sequence_id": 191, "annotations": []}
{"role": "student", "content": "the points i got", "session_id": 13878, "sequence_id": 192, "annotations": []}
{"role": "volunteer", "content": "yes see mine also on board?", "session_id": 13878, "sequence_id": 193, "annotations": []}
{"role": "student", "content": "i did not notice that lol", "session_id": 13878, "sequence_id": 194, "annotations": []}
{"role": "volunteer", "content": "ha, once again,...good luck!", "session_id": 13878, "sequence_id": 195, "annotations": []}
{"role": "student", "content": "so how do we show that ad is parallel to ab", "session_id": 13878, "sequence_id": 196, "annotations": []}
{"role": "student", "content": "nevermind", "session_id": 13878, "sequence_id": 197, "annotations": []}
{"role": "student", "content": "i meant ad and bc", "session_id": 13878, "sequence_id": 198, "annotations": []}
{"role": "student", "content": "and ab and CD", "session_id": 13878, "sequence_id": 199, "annotations": []}
{"role": "volunteer", "content": "remember, we show the lines are //", "session_id": 13878, "sequence_id": 200, "annotations": []}
{"role": "volunteer", "content": "same slopes", "session_id": 13878, "sequence_id": 201, "annotations": []}
{"role": "student", "content": "so both of their slopes are 0", "session_id": 13878, "sequence_id": 202, "annotations": []}
{"role": "student", "content": "or yeah", "session_id": 13878, "sequence_id": 203, "annotations": []}
{"role": "student", "content": "have the same slope", "session_id": 13878, "sequence_id": 204, "annotations": []}
{"role": "volunteer", "content": "as I said,.....if you do the slope form", "session_id": 13878, "sequence_id": 205, "annotations": []}
{"role": "volunteer", "content": "vertical lines have undefined slope cuz we cant divide by zero", "session_id": 13878, "sequence_id": 206, "annotations": []}
{"role": "volunteer", "content": "and horizontal lines slope is zero", "session_id": 13878, "sequence_id": 207, "annotations": []}
{"role": "volunteer", "content": "just do the slope form for the // lines", "session_id": 13878, "sequence_id": 208, "annotations": []}
{"role": "volunteer", "content": "same thing we have been doing", "session_id": 13878, "sequence_id": 209, "annotations": []}
{"role": "student", "content": "ok", "session_id": 13878, "sequence_id": 210, "annotations": []}
{"role": "student", "content": "and c", "session_id": 13878, "sequence_id": 211, "annotations": []}
{"role": "student", "content": "final question", "session_id": 13878, "sequence_id": 212, "annotations": []}
{"role": "volunteer", "content": "show the perpindicular lines have slopes that are negative reciprocals", "session_id": 13878, "sequence_id": 213, "annotations": []}
{"role": "volunteer", "content": "AB perpindicular to BC", "session_id": 13878, "sequence_id": 214, "annotations": []}
{"role": "volunteer", "content": "vertical line undefined slope", "session_id": 13878, "sequence_id": 215, "annotations": []}
{"role": "volunteer", "content": "but if you flip the verticl line slope over its not dividing by zero anymore, its just zero", "session_id": 13878, "sequence_id": 216, "annotations": []}
{"role": "volunteer", "content": "and zero is slope of horizontal line", "session_id": 13878, "sequence_id": 217, "annotations": []}
{"role": "volunteer", "content": "thats all", "session_id": 13878, "sequence_id": 218, "annotations": []}
{"role": "student", "content": "oh ok", "session_id": 13878, "sequence_id": 219, "annotations": []}
{"role": "student", "content": "and thats it", "session_id": 13878, "sequence_id": 220, "annotations": []}
{"role": "volunteer", "content": "yup", "session_id": 13878, "sequence_id": 221, "annotations": []}
{"role": "student", "content": "yayyyyyyyyyyyyy", "session_id": 13878, "sequence_id": 222, "annotations": []}
{"role": "student", "content": "thank you so much for helping me", "session_id": 13878, "sequence_id": 223, "annotations": []}
{"role": "student", "content": ":D", "session_id": 13878, "sequence_id": 224, "annotations": []}
{"role": "student", "content": "Have a great night! :)))))))))))))))))))))))))", "session_id": 13878, "sequence_id": 225, "annotations": []}
{"role": "volunteer", "content": "sure,adios", "session_id": 13878, "sequence_id": 226, "annotations": []}
{"role": "volunteer", "content": "ditto", "session_id": 13878, "sequence_id": 227, "annotations": []}
{"role": "student", "content": "Ciao", "session_id": 13878, "sequence_id": 228, "annotations": []}
{"role": "student", "content": ":)", "session_id": 13878, "sequence_id": 229, "annotations": []}
{"role": "student", "content": "ill leave u a good review", "session_id": 13878, "sequence_id": 230, "annotations": []}
{"role": "student", "content": "cyaa", "session_id": 13878, "sequence_id": 231, "annotations": []}
{"role": "student", "content": "bye", "session_id": 13878, "sequence_id": 232, "annotations": []}
{"role": "student", "content": ":)", "session_id": 13878, "sequence_id": 233, "annotations": []}
{"role": "student", "content": ":D", "session_id": 13878, "sequence_id": 234, "annotations": []}
{"role": "student", "content": "Triangle S has an area of 50 square units. \nBen drew a scaled version of Triangle .\nHe labeled it Triangle T (shown here).\nWhat scale factor did Ben use to go \nfrom Triangle S to Triangle T?", "session_id": 14847, "sequence_id": 0, "annotations": [{"pii_type": "PERSON", "surrogate": "Ben", "start": 44, "end": 47}, {"pii_type": "PERSON", "surrogate": "Ben", "start": 145, "end": 148}]}
{"role": "volunteer", "content": "Hello", "session_id": 14847, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "hello", "session_id": 14847, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "can u please show me the problem", "session_id": 14847, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "the problem is  Triangle S has an area of 50 square units. \nBen drew a scaled version of Triangle .\nHe labeled it Triangle T (shown here).\nWhat scale factor did Ben use to go \nfrom Triangle S to Triangle T?\nthis", "session_id": 14847, "sequence_id": 4, "annotations": [{"pii_type": "PERSON", "surrogate": "Ben", "start": 60, "end": 63}, {"pii_type": "PERSON", "surrogate": "Ben", "start": 161, "end": 164}]}
{"role": "volunteer", "content": "isn't there a drawing?", "session_id": 14847, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "imma post it", "session_id": 14847, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "k", "session_id": 14847, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "I haven't see anything yet", "session_id": 14847, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "im trying to uploAD IT my computer isn't screen shotting", "session_id": 14847, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "what kind of computer do u have..a chromebook?", "session_id": 14847, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "lenovo", "session_id": 14847, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "perhaps u can draw it", "session_id": 14847, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "ok", "session_id": 14847, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "can you help me know", "session_id": 14847, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "now", "session_id": 14847, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "Triangle S has an area of 50 square units. \nBen drew a scaled version of Triangle .\nHe labeled it Triangle T (shown here).\nWhat scale factor did Ben use to go \nfrom Triangle S to Triangle T?", "session_id": 14847, "sequence_id": 16, "annotations": [{"pii_type": "PERSON", "surrogate": "Ben", "start": 44, "end": 47}, {"pii_type": "PERSON", "surrogate": "Ben", "start": 145, "end": 148}]}
{"role": "volunteer", "content": "do u have any dimensions for the smaller triangle?", "session_id": 14847, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "this is the question btw", "session_id": 14847, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "i dont have", "session_id": 14847, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "so can you help me find the anwser or", "session_id": 14847, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "so is there a picture of two triangles or one?", "session_id": 14847, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "there is only one on the assignment", "session_id": 14847, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "and 50 is the only number you are given?", "session_id": 14847, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "so triange T has a height of 5 suare units and a width of 4 square units", "session_id": 14847, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "yes 50 is the only number", "session_id": 14847, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "ok..u know the height and width are important for this problem too", "session_id": 14847, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "ik", "session_id": 14847, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "do you know the formula for a triangle?", "session_id": 14847, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "no", "session_id": 14847, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "im in 8th grade", "session_id": 14847, "sequence_id": 30, "annotations": [{"pii_type": "GRADE_LEVEL", "surrogate": "8th grade", "start": 6, "end": 15}]}
{"role": "volunteer", "content": "do you know the formula for a square?", "session_id": 14847, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "how do you find the area of a square?", "session_id": 14847, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "multiplication", "session_id": 14847, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "of what?", "session_id": 14847, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "say if you have two sides, a and b..what is the formula for a square?", "session_id": 14847, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "that how u find the area through multiplication", "session_id": 14847, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "what a formula", "session_id": 14847, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "can you explain", "session_id": 14847, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "what is the area of this square?", "session_id": 14847, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "Whatat I drew", "session_id": 14847, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "the square is the question", "session_id": 14847, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "i dont", "session_id": 14847, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "a x b = the anwser", "session_id": 14847, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "correct", "session_id": 14847, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "oh", "session_id": 14847, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "so i have to find the two number that give 50 on the question", "session_id": 14847, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "would that be 10 x 5", "session_id": 14847, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "if u cut up the square into two..what do you get? ....what shape?", "session_id": 14847, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "rectangle", "session_id": 14847, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "Thatat is one shape", "session_id": 14847, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "say if u cut the square diagonally..what shape do u get?", "session_id": 14847, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "triangle", "session_id": 14847, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "correct", "session_id": 14847, "sequence_id": 53, "annotations": []}
{"role": "student", "content": "so how am i solving this question Triangle S has an area of 50 square units. \nBen drew a scaled version of Triangle .\nHe labeled it Triangle T (shown here).\nWhat scale factor did Ben use to go \nfrom Triangle S to Triangle T?", "session_id": 14847, "sequence_id": 54, "annotations": [{"pii_type": "PERSON", "surrogate": "Ben", "start": 78, "end": 81}, {"pii_type": "PERSON", "surrogate": "Ben", "start": 179, "end": 182}]}
{"role": "volunteer", "content": "please be patient", "session_id": 14847, "sequence_id": 55, "annotations": []}
{"role": "student", "content": "ok", "session_id": 14847, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "so two triangles make a square right?", "session_id": 14847, "sequence_id": 57, "annotations": []}
{"role": "student", "content": "yes", "session_id": 14847, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "so if u cut the area of a square into   two...u get the following formula (a*b)/2...which is the formula for the area of a triangle", "session_id": 14847, "sequence_id": 59, "annotations": []}
{"role": "student", "content": "h x w", "session_id": 14847, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "so what now is the area of the triangle for the dimensions u gave me?", "session_id": 14847, "sequence_id": 61, "annotations": []}
{"role": "student", "content": "50 for the first one", "session_id": 14847, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 14847, "sequence_id": 63, "annotations": []}
{"role": "student", "content": "20 for the second im sure ?", "session_id": 14847, "sequence_id": 64, "annotations": []}
{"role": "student", "content": "is that correct", "session_id": 14847, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "no", "session_id": 14847, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "using the formula I gave u ..what is the correct answer?", "session_id": 14847, "sequence_id": 67, "annotations": []}
{"role": "student", "content": "it would be 10", "session_id": 14847, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "exactly", "session_id": 14847, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "very good", "session_id": 14847, "sequence_id": 70, "annotations": []}
{"role": "student", "content": "oh", "session_id": 14847, "sequence_id": 71, "annotations": []}
{"role": "student", "content": "so the sf would 10", "session_id": 14847, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "now the bigger triangle has an area of 50 and the smaller triangle has an area of 10", "session_id": 14847, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "how many times is bigger one bigger?", "session_id": 14847, "sequence_id": 74, "annotations": []}
{"role": "student", "content": "no the smaller traingle should have a area of 20", "session_id": 14847, "sequence_id": 75, "annotations": []}
{"role": "student", "content": "for area you do height times width which was 5 x 4", "session_id": 14847, "sequence_id": 76, "annotations": []}
{"role": "student", "content": "there is no divison", "session_id": 14847, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "why should the smaller triangle have an area of 20", "session_id": 14847, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "remember, the formula for a triangle is (a*b)/2", "session_id": 14847, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "5 x 4 is the area of a square", "session_id": 14847, "sequence_id": 80, "annotations": []}
{"role": "volunteer", "content": "we don't want the area of a square", "session_id": 14847, "sequence_id": 81, "annotations": []}
{"role": "student", "content": "no it isnt", "session_id": 14847, "sequence_id": 82, "annotations": []}
{"role": "student", "content": "Triangle S has an area of 50 square units. \nBen drew a scaled version of Triangle .\nHe labeled it Triangle T (shown here).\nWhat scale factor did Ben use to go \nfrom Triangle S to Triangle T?", "session_id": 14847, "sequence_id": 83, "annotations": [{"pii_type": "PERSON", "surrogate": "Ben", "start": 44, "end": 47}, {"pii_type": "PERSON", "surrogate": "Ben", "start": 145, "end": 148}]}
{"role": "student", "content": "the picture i have", "session_id": 14847, "sequence_id": 84, "annotations": []}
{"role": "student", "content": "states  5 x 4", "session_id": 14847, "sequence_id": 85, "annotations": []}
{"role": "student", "content": "hello", "session_id": 14847, "sequence_id": 86, "annotations": []}
{"role": "volunteer", "content": "yeah...", "session_id": 14847, "sequence_id": 87, "annotations": []}
{"role": "volunteer", "content": "height is 5", "session_id": 14847, "sequence_id": 88, "annotations": []}
{"role": "student", "content": "so what sf did Ben you", "session_id": 14847, "sequence_id": 89, "annotations": [{"pii_type": "PERSON", "surrogate": "Ben", "start": 15, "end": 18}]}
{"role": "volunteer", "content": "width is 4?", "session_id": 14847, "sequence_id": 90, "annotations": []}
{"role": "student", "content": "yes", "session_id": 14847, "sequence_id": 91, "annotations": []}
{"role": "student", "content": "Ben use ?", "session_id": 14847, "sequence_id": 92, "annotations": [{"pii_type": "PERSON", "surrogate": "Ben", "start": 0, "end": 3}]}
{"role": "volunteer", "content": "what is the area of the smaller triangle?", "session_id": 14847, "sequence_id": 93, "annotations": []}
{"role": "student", "content": "the smaller triangle area is 20", "session_id": 14847, "sequence_id": 94, "annotations": []}
{"role": "student", "content": "and the bigger triangle area is 50", "session_id": 14847, "sequence_id": 95, "annotations": []}
{"role": "volunteer", "content": "height x width will give u the area for a nott a triangle", "session_id": 14847, "sequence_id": 96, "annotations": []}
{"role": "volunteer", "content": "so u have to divide by 2", "session_id": 14847, "sequence_id": 97, "annotations": []}
{"role": "student", "content": "oh mb u right", "session_id": 14847, "sequence_id": 98, "annotations": []}
{"role": "student", "content": "so what the sf now", "session_id": 14847, "sequence_id": 99, "annotations": []}
{"role": "volunteer", "content": "what is the area of the square that I drew?", "session_id": 14847, "sequence_id": 100, "annotations": []}
{"role": "student", "content": "20", "session_id": 14847, "sequence_id": 101, "annotations": []}
{"role": "student", "content": "but it is a triangle with the same numbers", "session_id": 14847, "sequence_id": 102, "annotations": []}
{"role": "student", "content": "since we are dividing it it would be 10", "session_id": 14847, "sequence_id": 103, "annotations": []}
{"role": "student", "content": "so the area of both shapes is 10,50", "session_id": 14847, "sequence_id": 104, "annotations": []}
{"role": "volunteer", "content": "it doesn't mean they can have the same numbers", "session_id": 14847, "sequence_id": 105, "annotations": []}
{"role": "student", "content": "ok", "session_id": 14847, "sequence_id": 106, "annotations": []}
{"role": "volunteer", "content": "if I cut the square in half and ask you what the area of the shaded area is..what would it be???", "session_id": 14847, "sequence_id": 107, "annotations": []}
{"role": "student", "content": "10", "session_id": 14847, "sequence_id": 108, "annotations": []}
{"role": "volunteer", "content": "correct", "session_id": 14847, "sequence_id": 109, "annotations": []}
{"role": "student", "content": "ok what is the scale factor Ben uses", "session_id": 14847, "sequence_id": 110, "annotations": [{"pii_type": "PERSON", "surrogate": "Ben", "start": 28, "end": 31}]}
{"role": "volunteer", "content": "so we are looking at half a square which is a triangle", "session_id": 14847, "sequence_id": 111, "annotations": []}
{"role": "student", "content": "yes", "session_id": 14847, "sequence_id": 112, "annotations": []}
{"role": "volunteer", "content": "so how many times do I have to increase the smaller area to get to the bigger area", "session_id": 14847, "sequence_id": 113, "annotations": []}
{"role": "volunteer", "content": "?", "session_id": 14847, "sequence_id": 114, "annotations": []}
{"role": "student", "content": "for the 50 area triangle", "session_id": 14847, "sequence_id": 115, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 14847, "sequence_id": 116, "annotations": []}
{"role": "volunteer", "content": "how many 10 (area triangles) fit in a 50 (area triangle)?", "session_id": 14847, "sequence_id": 117, "annotations": []}
{"role": "student", "content": "5", "session_id": 14847, "sequence_id": 118, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 14847, "sequence_id": 119, "annotations": []}
{"role": "volunteer", "content": "so your scaling factor would be 5", "session_id": 14847, "sequence_id": 120, "annotations": []}
{"role": "volunteer", "content": "the bigger one is 5 times bigger than the smaller one", "session_id": 14847, "sequence_id": 121, "annotations": []}
{"role": "volunteer", "content": "make sense?", "session_id": 14847, "sequence_id": 122, "annotations": []}
{"role": "student", "content": "ok", "session_id": 14847, "sequence_id": 123, "annotations": []}
{"role": "student", "content": "thx", "session_id": 14847, "sequence_id": 124, "annotations": []}
{"role": "volunteer", "content": "your welcome..enjoy the rest of your day.ep up the good work", "session_id": 14847, "sequence_id": 125, "annotations": []}
{"role": "volunteer", "content": "make sure you understand the difference between the area of a triangle and a square", "session_id": 14847, "sequence_id": 126, "annotations": []}
{"role": "student", "content": "hello", "session_id": 14899, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "Hello, how can I help you today?", "session_id": 14899, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "i have a homework assignment i need help on", "session_id": 14899, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "sure put it up whenever ready", "session_id": 14899, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "which ones do you need help with?", "session_id": 14899, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "all but first 1", "session_id": 14899, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "everything except number 1?", "session_id": 14899, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "i meant lets start with one", "session_id": 14899, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "ok then", "session_id": 14899, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "do you know how to solve for slope?", "session_id": 14899, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "y-two - y-one / x-two - x-one", "session_id": 14899, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "yes", "session_id": 14899, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "ok then for number one lets label our points", "session_id": 14899, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "2 is our x-one, 6 is our y-one. 5 is our x-two, and 1 is our y-two", "session_id": 14899, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "so you would do 1 - 6 / 5 - 2", "session_id": 14899, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "and our slope for number one would be -5/3", "session_id": 14899, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "it says simplify", "session_id": 14899, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "yea so for number one thats all you can do. you cant simplify it anymore", "session_id": 14899, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "oh okay", "session_id": 14899, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "should we move onto number 2?", "session_id": 14899, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "yes", "session_id": 14899, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "ok so for number 2", "session_id": 14899, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "3 is our x-one and 8 is our y-one. -1 is our x-two and -4 is our y-two", "session_id": 14899, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "so you would do", "session_id": 14899, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "-4 - 8 / -1 - 3", "session_id": 14899, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "to get -12/-4", "session_id": 14899, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "and when you simplify it you get 3", "session_id": 14899, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "so the answer for number 2 is 3", "session_id": 14899, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "how do u get 3 from -12/-4", "session_id": 14899, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "-12 divided by -4 equals positive 3", "session_id": 14899, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "negative and negative equals positive", "session_id": 14899, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "okay", "session_id": 14899, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "should we move onto number 3?", "session_id": 14899, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "yes", "session_id": 14899, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "ok then for number 3", "session_id": 14899, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "5.4 is x-one and 2.9 is y-one. 3.7 is x-two and 4.1 is y-two", "session_id": 14899, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "so you would do", "session_id": 14899, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "4.1 - 2.9 / 3.7 - 5.4", "session_id": 14899, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "to get 1.2/-1.7", "session_id": 14899, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "any simplifying?", "session_id": 14899, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "probably mot", "session_id": 14899, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "okay", "session_id": 14899, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "number 4", "session_id": 14899, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "ok then", "session_id": 14899, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "for this one", "session_id": 14899, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "2b is x-one and 2c is y-one", "session_id": 14899, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "b is x-two and c is y-two", "session_id": 14899, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "so we do c - 2c / b - 2b", "session_id": 14899, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "to get -1c / -1b", "session_id": 14899, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "then simplified it would be", "session_id": 14899, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "c/b", "session_id": 14899, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "because the -1 cancel out", "session_id": 14899, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "okay i understand", "session_id": 14899, "sequence_id": 52, "annotations": []}
{"role": "student", "content": "number 5", "session_id": 14899, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "ok then", "session_id": 14899, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "5 is x-one and 5 - t is y-one", "session_id": 14899, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "3 - t is x-two and 4 - t is y-two", "session_id": 14899, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "4 - t - 5 - t / 3 - t - 5", "session_id": 14899, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "which becomes -1 - 2t / -2 - t", "session_id": 14899, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "which simplifies", "session_id": 14899, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "to", "session_id": 14899, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "1 + 2t / 2 + t", "session_id": 14899, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "because the negatives cancel out", "session_id": 14899, "sequence_id": 62, "annotations": []}
{"role": "student", "content": "that one is confusing", "session_id": 14899, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "yea it has a bunch of variables but it is about the same", "session_id": 14899, "sequence_id": 64, "annotations": []}
{"role": "student", "content": "yea", "session_id": 14899, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "number 6 then?", "session_id": 14899, "sequence_id": 66, "annotations": []}
{"role": "student", "content": "yes", "session_id": 14899, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "5 is x-one and 7 is y-one", "session_id": 14899, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "17 is x-two and 7 is y-two", "session_id": 14899, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "7 - 7 / 17 - 5", "session_id": 14899, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "which is", "session_id": 14899, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "0 / 12", "session_id": 14899, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "and if you divide anything by 0 it is 0", "session_id": 14899, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "so for this one simplified", "session_id": 14899, "sequence_id": 74, "annotations": []}
{"role": "volunteer", "content": "is 0", "session_id": 14899, "sequence_id": 75, "annotations": []}
{"role": "student", "content": "okay", "session_id": 14899, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 14899, "sequence_id": 77, "annotations": []}
{"role": "student", "content": "7", "session_id": 14899, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "ok then", "session_id": 14899, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "6 is x-one and 0 is y-one", "session_id": 14899, "sequence_id": 80, "annotations": []}
{"role": "volunteer", "content": "15 is x-two is and y is y-two", "session_id": 14899, "sequence_id": 81, "annotations": []}
{"role": "volunteer", "content": "so you do y - 0 / 15 - 6", "session_id": 14899, "sequence_id": 82, "annotations": []}
{"role": "volunteer", "content": "= 2/3", "session_id": 14899, "sequence_id": 83, "annotations": []}
{"role": "student", "content": "how is y-0= 2?", "session_id": 14899, "sequence_id": 84, "annotations": []}
{"role": "volunteer", "content": "we are solving for y", "session_id": 14899, "sequence_id": 85, "annotations": []}
{"role": "volunteer", "content": "so you have the equation of y - 0 = 2", "session_id": 14899, "sequence_id": 86, "annotations": []}
{"role": "volunteer", "content": "y = 2", "session_id": 14899, "sequence_id": 87, "annotations": []}
{"role": "volunteer", "content": "once done solving", "session_id": 14899, "sequence_id": 88, "annotations": []}
{"role": "volunteer", "content": "so the answer for 7 is y = 2", "session_id": 14899, "sequence_id": 89, "annotations": []}
{"role": "volunteer", "content": "nvm", "session_id": 14899, "sequence_id": 90, "annotations": []}
{"role": "volunteer", "content": "y = 2 is the beginning", "session_id": 14899, "sequence_id": 91, "annotations": []}
{"role": "volunteer", "content": "since we know that 15 - 6 = 9", "session_id": 14899, "sequence_id": 92, "annotations": []}
{"role": "volunteer", "content": "and 9 divided by 3 is 3", "session_id": 14899, "sequence_id": 93, "annotations": []}
{"role": "volunteer", "content": "we need to multiply the 2 by 3", "session_id": 14899, "sequence_id": 94, "annotations": []}
{"role": "volunteer", "content": "to get 6/9", "session_id": 14899, "sequence_id": 95, "annotations": []}
{"role": "volunteer", "content": "so y = 6", "session_id": 14899, "sequence_id": 96, "annotations": []}
{"role": "student", "content": "im confused im sorry can u write the equation on the assignment i sent u", "session_id": 14899, "sequence_id": 97, "annotations": []}
{"role": "student", "content": "Hi", "session_id": 15035, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "Hello. Hi, Michael", "session_id": 15035, "sequence_id": 1, "annotations": [{"pii_type": "PERSON", "surrogate": "Michael", "start": 11, "end": 18}]}
{"role": "student", "content": "I", "session_id": 15035, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "Well, not on the face. Hello.", "session_id": 15035, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "Hi", "session_id": 15035, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 15035, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "Good. Uh, do you have a, a certain question for us to do here today?", "session_id": 15035, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "Uh, yeah, I do have a question.", "session_id": 15035, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "Yeah, go ahead, Michael. I'm listening to your question.", "session_id": 15035, "sequence_id": 8, "annotations": [{"pii_type": "PERSON", "surrogate": "Michael", "start": 16, "end": 23}]}
{"role": "student", "content": "So it's like a problem about um applying properties and like uh uh additive inverses.", "session_id": 15035, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "Excuse me, I was just unmuting the mic. So can you just let me hear that again, please? Run me run it by me again. Thanks.", "session_id": 15035, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "So, uh, I have a question about like applying property stuff.", "session_id": 15035, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "Mhm", "session_id": 15035, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "OK, good", "session_id": 15035, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "and uh", "session_id": 15035, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "Can you write down your question, please.", "session_id": 15035, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "yeah. OK.", "session_id": 15035, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "Yeah, and what happened to the question? Mhm.", "session_id": 15035, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "Yeah, so I have to figure out the reason why you have to uh use uh why I have these additive inverse before we like properties.", "session_id": 15035, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "Yeah, yeah, that's good. And have you got a question that you've been given to answer with you now?", "session_id": 15035, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "Yes.", "session_id": 15035, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "Oh, lovely. Good. Can you, um, maybe put it on the board for us? Is it, is it possible to put the the image up for us to see or copy and paste it into the chats, it's fine.", "session_id": 15035, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 15035, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "That will be grand", "session_id": 15035, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "There's the question", "session_id": 15035, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "There's the question, isn't it? Let me have a look now for it. Is it on the board?", "session_id": 15035, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "Oh yeah, yeah, it's just about loading for me now. Thank you.", "session_id": 15035, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "I'm gonna scroll up", "session_id": 15035, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "Mhm", "session_id": 15035, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "Lovely. So, um,", "session_id": 15035, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "Michael, I'm gonna ask you, um, did I say Alex? Emily, sorry, but could you read out the question for us, please. Thank you.", "session_id": 15035, "sequence_id": 30, "annotations": [{"pii_type": "PERSON", "surrogate": "Michael", "start": 0, "end": 7}, {"pii_type": "PERSON", "surrogate": "Alex", "start": 42, "end": 46}, {"pii_type": "PERSON", "surrogate": "Emily", "start": 48, "end": 53}]}
{"role": "student", "content": "Oh, OK then. So one use the expression 6-9-12 + 22 defining his profit for days 2 and 3. He rewrote the expression as 16 + 9 + 12 + 22. he can use the associative in the community of properties where we write the expression again. Explain why he had to use out of an inverse before she could use these properties.", "session_id": 15035, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 15035, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "Um, so you're not really asked to do an answer, but just to explain the answer then.", "session_id": 15035, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "Yes, so we have a hard time.", "session_id": 15035, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "Yeah, I'll check, yeah.", "session_id": 15035, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "Do you have a heart", "session_id": 15035, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "I have a hard time explaining the answer.", "session_id": 15035, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "I'll explain you so good, good, good.", "session_id": 15035, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "All right. Do you have any, uh, notes on this topic that you'll teacher's been going through with you?", "session_id": 15035, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "Yes.", "session_id": 15035, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "OK. Would you mind, would you like to just read us out a portion of that, just the part that's connected to the question not only.", "session_id": 15035, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "Uh, OK. So the additive property is subtraction and community of property, A + B equals B + A 5 minus 44 minus 51 it's not equal one, but 5 plus 4 plus 4 + 5 equals 1 equals 1.", "session_id": 15035, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "Oh", "session_id": 15035, "sequence_id": 43, "annotations": []}
{"role": "student", "content": "And so, yes.", "session_id": 15035, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "That's really a lot of notes you've been taking down. Well done, um, Michael.", "session_id": 15035, "sequence_id": 45, "annotations": [{"pii_type": "PERSON", "surrogate": "Michael", "start": 69, "end": 76}]}
{"role": "student", "content": "Yeah", "session_id": 15035, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "OK. So", "session_id": 15035, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "OK, so", "session_id": 15035, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "what was the", "session_id": 15035, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "additive inverse that was used in this question. Could you give us one of the examples of an additive inverse in this question.", "session_id": 15035, "sequence_id": 50, "annotations": []}
{"role": "student", "content": "Um, so like I didn't she's basically just the opposite of just the opposite of a, of a quest of a question like example.", "session_id": 15035, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "of a value", "session_id": 15035, "sequence_id": 52, "annotations": []}
{"role": "student", "content": "6 minus 9 equals 6 + -9.", "session_id": 15035, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "Yes, yes, good. So that's a good example. Yeah, could you use the question itself then to give us another example of an additive inverse now", "session_id": 15035, "sequence_id": 54, "annotations": []}
{"role": "student", "content": "OK, yeah, so 9 minus 12 equals we, what they're getting 9 plus.", "session_id": 15035, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "So", "session_id": 15035, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "uh.", "session_id": 15035, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "Instead of saying", "session_id": 15035, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "16", "session_id": 15035, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "add", "session_id": 15035, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "a 9", "session_id": 15035, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "Is that right? You need to use 16, add the negative inverse of 9.", "session_id": 15035, "sequence_id": 62, "annotations": []}
{"role": "student", "content": "It's just an example", "session_id": 15035, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "Oh, we, we had the connection timed out for a bit. So I can just about hear you. You were saying, what's the example again?", "session_id": 15035, "sequence_id": 64, "annotations": []}
{"role": "student", "content": "The example 16 minus 9 equals 16 + -9.", "session_id": 15035, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "Yes. So, you have used", "session_id": 15035, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "an inverse of 9, which is -9.", "session_id": 15035, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "Yeah.", "session_id": 15035, "sequence_id": 68, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 15035, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "And why did it, yeah, that's it. So you've got the answer. Why didn't he use just uh straightforward 9, and he", "session_id": 15035, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "um, to do the quest to to get the expression correct? Why did he have to use, um, the neck, the, the negative of 9 or in at the inverse of 9 instead of straightforward and a 9 on its own.", "session_id": 15035, "sequence_id": 71, "annotations": []}
{"role": "student", "content": "Um brex and best sense and yeah.", "session_id": 15035, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "because that's what they want to know", "session_id": 15035, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "Oh, OK", "session_id": 15035, "sequence_id": 74, "annotations": []}
{"role": "student", "content": "is because it was like, it would sound confusing for the question and plus, so they would have to simplify", "session_id": 15035, "sequence_id": 75, "annotations": []}
{"role": "student", "content": "in order for it to fit the actual question.", "session_id": 15035, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "Mm.", "session_id": 15035, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "Yes, in a sense, um, what's the meaning of the word inverse?", "session_id": 15035, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "Michael", "session_id": 15035, "sequence_id": 79, "annotations": [{"pii_type": "PERSON", "surrogate": "Michael", "start": 0, "end": 7}]}
{"role": "student", "content": "like the opposite of something.", "session_id": 15035, "sequence_id": 80, "annotations": []}
{"role": "volunteer", "content": "Yes. So, what's the inverse of", "session_id": 15035, "sequence_id": 81, "annotations": []}
{"role": "volunteer", "content": "uh, profits that you make.", "session_id": 15035, "sequence_id": 82, "annotations": []}
{"role": "volunteer", "content": "What's the", "session_id": 15035, "sequence_id": 83, "annotations": []}
{"role": "volunteer", "content": "reverse or the inverse of a prophet.", "session_id": 15035, "sequence_id": 84, "annotations": []}
{"role": "student", "content": "He reversed, she's like the debt.", "session_id": 15035, "sequence_id": 85, "annotations": []}
{"role": "volunteer", "content": "Prophet", "session_id": 15035, "sequence_id": 86, "annotations": []}
{"role": "student", "content": "OK", "session_id": 15035, "sequence_id": 87, "annotations": []}
{"role": "volunteer", "content": "A debt, that's good. Debt. So they're saying that if you had", "session_id": 15035, "sequence_id": 88, "annotations": []}
{"role": "volunteer", "content": "written + 9 that would be referring to", "session_id": 15035, "sequence_id": 89, "annotations": []}
{"role": "volunteer", "content": "a prophet", "session_id": 15035, "sequence_id": 90, "annotations": []}
{"role": "volunteer", "content": "not a debt", "session_id": 15035, "sequence_id": 91, "annotations": []}
{"role": "student", "content": "Oh no", "session_id": 15035, "sequence_id": 92, "annotations": []}
{"role": "volunteer", "content": "because you need to show, yes.", "session_id": 15035, "sequence_id": 93, "annotations": []}
{"role": "student", "content": "Yeah, I, I know now.", "session_id": 15035, "sequence_id": 94, "annotations": []}
{"role": "student", "content": "Because you need to show a", "session_id": 15035, "sequence_id": 95, "annotations": []}
{"role": "volunteer", "content": "You got it, yeah. You, you, you need to show that", "session_id": 15035, "sequence_id": 96, "annotations": []}
{"role": "volunteer", "content": "a that, that, that's it, that's it.", "session_id": 15035, "sequence_id": 97, "annotations": []}
{"role": "volunteer", "content": "which is the inverse of a profit. Is that right?", "session_id": 15035, "sequence_id": 98, "annotations": []}
{"role": "student", "content": "Yes.", "session_id": 15035, "sequence_id": 99, "annotations": []}
{"role": "volunteer", "content": "Yeah, that's the reason for the negativity. That's the reason negativity so coming up or the additive inverses we need.", "session_id": 15035, "sequence_id": 100, "annotations": []}
{"role": "volunteer", "content": "Don't add on", "session_id": 15035, "sequence_id": 101, "annotations": []}
{"role": "student", "content": "I'm not back yet. Oh, because of you.", "session_id": 15035, "sequence_id": 102, "annotations": []}
{"role": "volunteer", "content": "Yes", "session_id": 15035, "sequence_id": 103, "annotations": []}
{"role": "volunteer", "content": "If you didn't, if you use um the number without", "session_id": 15035, "sequence_id": 104, "annotations": []}
{"role": "volunteer", "content": "the um inverse sign. We're talking about a profit, and we don't want to be talking about a profit for those values. We want to talk about that, debt or a loss.", "session_id": 15035, "sequence_id": 105, "annotations": []}
{"role": "volunteer", "content": "Yay. So, you got that one right?", "session_id": 15035, "sequence_id": 106, "annotations": []}
{"role": "volunteer", "content": "Brick.", "session_id": 15035, "sequence_id": 107, "annotations": []}
{"role": "volunteer", "content": "Right.", "session_id": 15035, "sequence_id": 108, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 15035, "sequence_id": 109, "annotations": []}
{"role": "volunteer", "content": "Oh, that's lovely. Uh, can you tell us, uh, have you got any other questions apart from this one? You, you can, OK, can you go back over how, how do you explain the answer? Why didn't he have to use an additive inverse, instead of a straightforward value, um, positive value.", "session_id": 15035, "sequence_id": 110, "annotations": []}
{"role": "student", "content": "Now that's gonna get you and it's just the same way.", "session_id": 15035, "sequence_id": 111, "annotations": []}
{"role": "volunteer", "content": "You're looking.", "session_id": 15035, "sequence_id": 112, "annotations": []}
{"role": "student", "content": "Oh sorry, um, sorry, David, it's because, um, uh, it's because like it's supposed to represent dead and not like an increase in that you.", "session_id": 15035, "sequence_id": 113, "annotations": [{"pii_type": "PERSON", "surrogate": "David", "start": 21, "end": 26}]}
{"role": "student", "content": "I like the same value.", "session_id": 15035, "sequence_id": 114, "annotations": []}
{"role": "volunteer", "content": "That's correct.", "session_id": 15035, "sequence_id": 115, "annotations": []}
{"role": "volunteer", "content": "Yeah, yeah, because if you'd use the same sign, it would have meant you were talking about a prophet, not a debt or a loss. That's the reason. Because you need to use an inverse", "session_id": 15035, "sequence_id": 116, "annotations": []}
{"role": "volunteer", "content": "on opposite sign to show that you're talking about that. True.", "session_id": 15035, "sequence_id": 117, "annotations": []}
{"role": "student", "content": "OK", "session_id": 15035, "sequence_id": 118, "annotations": []}
{"role": "volunteer", "content": "OK, let's", "session_id": 15035, "sequence_id": 119, "annotations": []}
{"role": "volunteer", "content": "Well done, well done, Michael. Great work from you here today.", "session_id": 15035, "sequence_id": 120, "annotations": [{"pii_type": "PERSON", "surrogate": "Michael", "start": 22, "end": 29}]}
{"role": "volunteer", "content": "Yeah", "session_id": 15035, "sequence_id": 121, "annotations": []}
{"role": "volunteer", "content": "And um", "session_id": 15035, "sequence_id": 122, "annotations": []}
{"role": "volunteer", "content": "could you tell us a bit more about what you've been doing on this topic.", "session_id": 15035, "sequence_id": 123, "annotations": []}
{"role": "volunteer", "content": "Right", "session_id": 15035, "sequence_id": 124, "annotations": []}
{"role": "volunteer", "content": "Mhm", "session_id": 15035, "sequence_id": 125, "annotations": []}
{"role": "student", "content": "I have just been eating a I, I have been um doing like, like how I like to track like, um, uh, integers and stuff.", "session_id": 15035, "sequence_id": 126, "annotations": []}
{"role": "volunteer", "content": "Yes, right. So can you give us a little question on that um section that you've been doing as well.", "session_id": 15035, "sequence_id": 127, "annotations": []}
{"role": "student", "content": "For example, uh", "session_id": 15035, "sequence_id": 128, "annotations": []}
{"role": "volunteer", "content": "Yeah, give us some other questions. OK.", "session_id": 15035, "sequence_id": 129, "annotations": []}
{"role": "volunteer", "content": "Mhm", "session_id": 15035, "sequence_id": 130, "annotations": []}
{"role": "student", "content": "a 5 minus 3, and I would have to use a number line, and if I use the number line, then it would be it would be.", "session_id": 15035, "sequence_id": 131, "annotations": []}
{"role": "student", "content": "negative -8.", "session_id": 15035, "sequence_id": 132, "annotations": []}
{"role": "volunteer", "content": "That's correct. Yeah. Could you draw a number line on the board, please?", "session_id": 15035, "sequence_id": 133, "annotations": []}
{"role": "volunteer", "content": "and show us -5", "session_id": 15035, "sequence_id": 134, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 15035, "sequence_id": 135, "annotations": []}
{"role": "volunteer", "content": "minus 3 on it", "session_id": 15035, "sequence_id": 136, "annotations": []}
{"role": "student", "content": "Yes.", "session_id": 15035, "sequence_id": 137, "annotations": []}
{"role": "volunteer", "content": "Thank you. That's lovely. You break.", "session_id": 15035, "sequence_id": 138, "annotations": []}
{"role": "student", "content": "So, uh, 5 is over here, -5. It's supposed to be over here then", "session_id": 15035, "sequence_id": 139, "annotations": []}
{"role": "student", "content": "if I move it by 3, it would then be able to truck. I'm like just adding -5 to 3, which is -2 wait a minute, wrong way. I'm sorry about that. 123. It will go -8. This means -5-3 equals -8.", "session_id": 15035, "sequence_id": 140, "annotations": []}
{"role": "student", "content": "It's basically just addition but going the opposite way.", "session_id": 15035, "sequence_id": 141, "annotations": []}
{"role": "student", "content": "I I think", "session_id": 15035, "sequence_id": 142, "annotations": []}
{"role": "volunteer", "content": "Hello, are we back on?", "session_id": 15035, "sequence_id": 143, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 15035, "sequence_id": 144, "annotations": []}
{"role": "student", "content": "you know", "session_id": 15035, "sequence_id": 145, "annotations": []}
{"role": "volunteer", "content": "Oh, that's lovely. So you were saying that to do, you're doing another question just then.", "session_id": 15035, "sequence_id": 146, "annotations": []}
{"role": "volunteer", "content": "Which question was it? You were doing work", "session_id": 15035, "sequence_id": 147, "annotations": []}
{"role": "student", "content": "It was 5 minus 3.", "session_id": 15035, "sequence_id": 148, "annotations": []}
{"role": "volunteer", "content": "053.", "session_id": 15035, "sequence_id": 149, "annotations": []}
{"role": "student", "content": "-5 minus the same.", "session_id": 15035, "sequence_id": 150, "annotations": []}
{"role": "volunteer", "content": "OK, yeah, I got you.", "session_id": 15035, "sequence_id": 151, "annotations": []}
{"role": "student", "content": "No, -5 minus 3.", "session_id": 15035, "sequence_id": 152, "annotations": []}
{"role": "volunteer", "content": "OK, good. I think you put something on the board for me, let me see what it is. OK.", "session_id": 15035, "sequence_id": 153, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 15035, "sequence_id": 154, "annotations": []}
{"role": "volunteer", "content": "Uh, yes, I mean I see if I can move the canvas of this, yeah, I can move it to. So I can see, yeah, you've got your jumps going on, your, what is the um direction", "session_id": 15035, "sequence_id": 155, "annotations": []}
{"role": "volunteer", "content": "um", "session_id": 15035, "sequence_id": 156, "annotations": []}
{"role": "student", "content": "Oh.", "session_id": 15035, "sequence_id": 157, "annotations": []}
{"role": "volunteer", "content": "on the, on the number line. Um how is it linked to the sign? How is the direction you're traveling linked to the sign of your number.", "session_id": 15035, "sequence_id": 158, "annotations": []}
{"role": "volunteer", "content": "Mhm", "session_id": 15035, "sequence_id": 159, "annotations": []}
{"role": "student", "content": "so it really depends on the sign, like if it's an addition, then you move right because the right represents the positive side. And if you move towards the left, you, it's like subtraction because you're moving towards the negative side.", "session_id": 15035, "sequence_id": 160, "annotations": []}
{"role": "volunteer", "content": "That is so good. Well done. Thanks, Michael. That is so good. So you've understood about um how the numbers are linked to the direction of travel, the sign of the numbers in, yeah. So a negative3 means you're going 3 units to the left, like you said.", "session_id": 15035, "sequence_id": 161, "annotations": [{"pii_type": "PERSON", "surrogate": "Michael", "start": 36, "end": 43}]}
{"role": "student", "content": "And uh yeah, that's great.", "session_id": 15035, "sequence_id": 162, "annotations": []}
{"role": "volunteer", "content": "So you've shown, you've shown me 3 jumps to the left. That's good for -3. And, of course, -5 means you need to go another 5 jumps to the left, and you'll end up doing 8 jumps to the left in total. That is so good", "session_id": 15035, "sequence_id": 163, "annotations": []}
{"role": "volunteer", "content": "which gives you the right answer of?", "session_id": 15035, "sequence_id": 164, "annotations": []}
{"role": "volunteer", "content": "-8. Let's see if we can, um, change some colors on here. Yeah. I'm gonna put a big tick for you.", "session_id": 15035, "sequence_id": 165, "annotations": []}
{"role": "volunteer", "content": "next to your, if you'll let me know.", "session_id": 15035, "sequence_id": 166, "annotations": []}
{"role": "volunteer", "content": "do that good", "session_id": 15035, "sequence_id": 167, "annotations": []}
{"role": "volunteer", "content": "Yeah, thank you for that. Lovely work.", "session_id": 15035, "sequence_id": 168, "annotations": []}
{"role": "volunteer", "content": "And what um", "session_id": 15035, "sequence_id": 169, "annotations": []}
{"role": "volunteer", "content": "sort of exams are you're going to be doing?", "session_id": 15035, "sequence_id": 170, "annotations": []}
{"role": "volunteer", "content": "this time, do you know", "session_id": 15035, "sequence_id": 171, "annotations": []}
{"role": "student", "content": "Um, maybe it's, maybe an exam that includes uh subtracting integers and maybe finding out like, like I was crying like the distributive property and like not not sur for communities or associated properties.", "session_id": 15035, "sequence_id": 172, "annotations": []}
{"role": "volunteer", "content": "I say a prophecy as there we go.", "session_id": 15035, "sequence_id": 173, "annotations": []}
{"role": "volunteer", "content": "So I want you to use some algebra on it this time.", "session_id": 15035, "sequence_id": 174, "annotations": []}
{"role": "volunteer", "content": "we have um", "session_id": 15035, "sequence_id": 175, "annotations": []}
{"role": "volunteer", "content": "say, minus, can you write on the board, minus 8A.", "session_id": 15035, "sequence_id": 176, "annotations": []}
{"role": "volunteer", "content": "plus 15A.", "session_id": 15035, "sequence_id": 177, "annotations": []}
{"role": "volunteer", "content": "and give us an answer", "session_id": 15035, "sequence_id": 178, "annotations": []}
{"role": "student", "content": "Uh OK", "session_id": 15035, "sequence_id": 179, "annotations": []}
{"role": "volunteer", "content": "So this is your question. We, mhm.", "session_id": 15035, "sequence_id": 180, "annotations": []}
{"role": "student", "content": "A a.", "session_id": 15035, "sequence_id": 181, "annotations": []}
{"role": "student", "content": "Wait, 15A. So, uh,", "session_id": 15035, "sequence_id": 182, "annotations": []}
{"role": "volunteer", "content": "-8 a add 15A.", "session_id": 15035, "sequence_id": 183, "annotations": []}
{"role": "student", "content": "is not.", "session_id": 15035, "sequence_id": 184, "annotations": []}
{"role": "student", "content": "OK, I, so I got the, I got the equation on the board.", "session_id": 15035, "sequence_id": 185, "annotations": []}
{"role": "volunteer", "content": "Mhm. Let me check for it now.", "session_id": 15035, "sequence_id": 186, "annotations": []}
{"role": "student", "content": "on top of that you get So the answer", "session_id": 15035, "sequence_id": 187, "annotations": []}
{"role": "student", "content": "so uh", "session_id": 15035, "sequence_id": 188, "annotations": []}
{"role": "volunteer", "content": "Yeah, yeah", "session_id": 15035, "sequence_id": 189, "annotations": []}
{"role": "student", "content": "vocal the vari variables are A, so it's, so it doesn't really matter. The very, the variables don't really matter at this scenario. We just have to focus on the, the integers.", "session_id": 15035, "sequence_id": 190, "annotations": []}
{"role": "volunteer", "content": "Yes, yes", "session_id": 15035, "sequence_id": 191, "annotations": []}
{"role": "student", "content": "So then, uh, parking.", "session_id": 15035, "sequence_id": 192, "annotations": []}
{"role": "student", "content": "Uh", "session_id": 15035, "sequence_id": 193, "annotations": []}
{"role": "student", "content": "but you have a So if I use the number line.", "session_id": 15035, "sequence_id": 194, "annotations": []}
{"role": "student", "content": "I'm gonna have to clear all this out.", "session_id": 15035, "sequence_id": 195, "annotations": []}
{"role": "student", "content": "I'm gonna have to cut all this off.", "session_id": 15035, "sequence_id": 196, "annotations": []}
{"role": "volunteer", "content": "Yes. You can", "session_id": 15035, "sequence_id": 197, "annotations": []}
{"role": "student", "content": "So for you.", "session_id": 15035, "sequence_id": 198, "annotations": []}
{"role": "volunteer", "content": "Yeah, that's fine. I've seen that and it's all good.", "session_id": 15035, "sequence_id": 199, "annotations": []}
{"role": "student", "content": "by uh", "session_id": 15035, "sequence_id": 200, "annotations": []}
{"role": "volunteer", "content": "Mhm", "session_id": 15035, "sequence_id": 201, "annotations": []}
{"role": "volunteer", "content": "Mhm.", "session_id": 15035, "sequence_id": 202, "annotations": []}
{"role": "student", "content": "use the number line then uh I will move neg if I will move apes units to their left, and I would move 15 to the right, and if I do that math, that's the same thing as 55 minus 8.", "session_id": 15035, "sequence_id": 203, "annotations": []}
{"role": "volunteer", "content": "Mhm.", "session_id": 15035, "sequence_id": 204, "annotations": []}
{"role": "student", "content": "So then, um, 15 minus 8, that is equal to", "session_id": 15035, "sequence_id": 205, "annotations": []}
{"role": "volunteer", "content": "Mhm", "session_id": 15035, "sequence_id": 206, "annotations": []}
{"role": "student", "content": "it will, it will be equal to 7, so the answer would be 7A.", "session_id": 15035, "sequence_id": 207, "annotations": []}
{"role": "volunteer", "content": "Exactly right. Thank you. This is good. Thank you for that. Um,", "session_id": 15035, "sequence_id": 208, "annotations": []}
{"role": "volunteer", "content": "Michael. So can you try us a bit of the distributive method as well. So we're gonna try", "session_id": 15035, "sequence_id": 209, "annotations": [{"pii_type": "PERSON", "surrogate": "Michael", "start": 0, "end": 7}]}
{"role": "volunteer", "content": "the brackets method", "session_id": 15035, "sequence_id": 210, "annotations": []}
{"role": "volunteer", "content": "Yeah, can you do me the answer to -3.", "session_id": 15035, "sequence_id": 211, "annotations": []}
{"role": "volunteer", "content": "open brackets", "session_id": 15035, "sequence_id": 212, "annotations": []}
{"role": "volunteer", "content": "3A", "session_id": 15035, "sequence_id": 213, "annotations": []}
{"role": "volunteer", "content": "plus 7", "session_id": 15035, "sequence_id": 214, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 15035, "sequence_id": 215, "annotations": []}
{"role": "student", "content": "Well, wait, hold on, there's something let me write on the board. Oh, wait, never mind. So 8A.", "session_id": 15035, "sequence_id": 216, "annotations": []}
{"role": "volunteer", "content": "Yes, start with a -3 in front of brackets.", "session_id": 15035, "sequence_id": 217, "annotations": []}
{"role": "student", "content": "to stop and do it.", "session_id": 15035, "sequence_id": 218, "annotations": []}
{"role": "student", "content": "Oh wait, um, sorry about that. Wait.", "session_id": 15035, "sequence_id": 219, "annotations": []}
{"role": "student", "content": "OK, so 3 is now on the brackets.", "session_id": 15035, "sequence_id": 220, "annotations": []}
{"role": "volunteer", "content": "Yeah, it needs to be actually in front of it. Let me see if I can write it as well for you.", "session_id": 15035, "sequence_id": 221, "annotations": []}
{"role": "volunteer", "content": "Yeah.", "session_id": 15035, "sequence_id": 222, "annotations": []}
{"role": "volunteer", "content": "The minus 3 in front of the, and then you open the brackets after that.", "session_id": 15035, "sequence_id": 223, "annotations": []}
{"role": "volunteer", "content": "Yeah, and then you can finish writing the question", "session_id": 15035, "sequence_id": 224, "annotations": []}
{"role": "volunteer", "content": "for us", "session_id": 15035, "sequence_id": 225, "annotations": []}
{"role": "student", "content": "So what was the question again?", "session_id": 15035, "sequence_id": 226, "annotations": []}
{"role": "volunteer", "content": "Yeah, I've put the question on the board for you, but.", "session_id": 15035, "sequence_id": 227, "annotations": []}
{"role": "volunteer", "content": "In green writing.", "session_id": 15035, "sequence_id": 228, "annotations": []}
{"role": "volunteer", "content": "Can you see it now", "session_id": 15035, "sequence_id": 229, "annotations": []}
{"role": "volunteer", "content": "I can see you on the board now.", "session_id": 15035, "sequence_id": 230, "annotations": []}
{"role": "student", "content": "Uh, yeah.", "session_id": 15035, "sequence_id": 231, "annotations": []}
{"role": "volunteer", "content": "Hm", "session_id": 15035, "sequence_id": 232, "annotations": []}
{"role": "volunteer", "content": "So, you understand the distributive property as well, because I, I can see you've mastered the associative and commutative properties quite well.", "session_id": 15035, "sequence_id": 233, "annotations": []}
{"role": "volunteer", "content": "Good.", "session_id": 15035, "sequence_id": 234, "annotations": []}
{"role": "volunteer", "content": "Good", "session_id": 15035, "sequence_id": 235, "annotations": []}
{"role": "student", "content": "Yes, you know how to use the just distributive property as well. So it's like -33A plus 3 times 7.", "session_id": 15035, "sequence_id": 236, "annotations": []}
{"role": "volunteer", "content": "Yeah. Can you simplify for us?", "session_id": 15035, "sequence_id": 237, "annotations": []}
{"role": "student", "content": "Well, um,", "session_id": 15035, "sequence_id": 238, "annotations": []}
{"role": "student", "content": "OK, I can try. Well,", "session_id": 15035, "sequence_id": 239, "annotations": []}
{"role": "volunteer", "content": "Mhm", "session_id": 15035, "sequence_id": 240, "annotations": []}
{"role": "volunteer", "content": "Just remember to do what you had to do with the first question you, you had, you put up on the book. You might need to blend some of the signs together when you simplifying a plus times a minus can be blended together.", "session_id": 15035, "sequence_id": 241, "annotations": []}
{"role": "student", "content": "OK", "session_id": 15035, "sequence_id": 242, "annotations": []}
{"role": "volunteer", "content": "And the brackets is shorthand for which, um, operation.", "session_id": 15035, "sequence_id": 243, "annotations": []}
{"role": "volunteer", "content": "You can actually replace brackets by", "session_id": 15035, "sequence_id": 244, "annotations": []}
{"role": "volunteer", "content": "which operation or sign?", "session_id": 15035, "sequence_id": 245, "annotations": []}
{"role": "student", "content": "Um", "session_id": 15035, "sequence_id": 246, "annotations": []}
{"role": "student", "content": "uh", "session_id": 15035, "sequence_id": 247, "annotations": []}
{"role": "volunteer", "content": "A time sign", "session_id": 15035, "sequence_id": 248, "annotations": []}
{"role": "volunteer", "content": "Hm", "session_id": 15035, "sequence_id": 249, "annotations": []}
{"role": "volunteer", "content": "So you could actually put in", "session_id": 15035, "sequence_id": 250, "annotations": []}
{"role": "volunteer", "content": "minus 3 times 3A.", "session_id": 15035, "sequence_id": 251, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 15035, "sequence_id": 252, "annotations": []}
{"role": "volunteer", "content": "Yeah, that's what you could replace the brackets by a time sum. Good. And the same happens with the other term plus minus 3", "session_id": 15035, "sequence_id": 253, "annotations": []}
{"role": "volunteer", "content": "times an 7.", "session_id": 15035, "sequence_id": 254, "annotations": []}
{"role": "student", "content": "I", "session_id": 15035, "sequence_id": 255, "annotations": []}
{"role": "volunteer", "content": "Now you can simplify for us. Thanks.", "session_id": 15035, "sequence_id": 256, "annotations": []}
{"role": "student", "content": "OK", "session_id": 15035, "sequence_id": 257, "annotations": []}
{"role": "volunteer", "content": "What is the answer for minus 3 times 3A.", "session_id": 15035, "sequence_id": 258, "annotations": []}
{"role": "student", "content": "Um", "session_id": 15035, "sequence_id": 259, "annotations": []}
{"role": "volunteer", "content": "OK, what we'll do is we'll, we'll, we'll do another easy question to start with.", "session_id": 15035, "sequence_id": 260, "annotations": []}
{"role": "volunteer", "content": "Right.", "session_id": 15035, "sequence_id": 261, "annotations": []}
{"role": "student", "content": "oh OK", "session_id": 15035, "sequence_id": 262, "annotations": []}
{"role": "volunteer", "content": "Yeah, we'll do some plain numbers.", "session_id": 15035, "sequence_id": 263, "annotations": []}
{"role": "volunteer", "content": "Yeah, we'll do some pain numbers. So this time, can you do minus 3", "session_id": 15035, "sequence_id": 264, "annotations": []}
{"role": "volunteer", "content": "times", "session_id": 15035, "sequence_id": 265, "annotations": []}
{"role": "volunteer", "content": "brackets", "session_id": 15035, "sequence_id": 266, "annotations": []}
{"role": "volunteer", "content": "12", "session_id": 15035, "sequence_id": 267, "annotations": []}
{"role": "volunteer", "content": "+ 32.", "session_id": 15035, "sequence_id": 268, "annotations": []}
{"role": "volunteer", "content": "Can you give us the answer?", "session_id": 15035, "sequence_id": 269, "annotations": []}
{"role": "volunteer", "content": "to -3", "session_id": 15035, "sequence_id": 270, "annotations": []}
{"role": "volunteer", "content": "in brackets 12 + 32.", "session_id": 15035, "sequence_id": 271, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 15035, "sequence_id": 272, "annotations": []}
{"role": "volunteer", "content": "Very good", "session_id": 15035, "sequence_id": 273, "annotations": []}
{"role": "student", "content": "OK, so first what you gotta do is you have to find out the meaning of of three square, which is uh 9, so it's 12 + 9, and that is equal to 21 and 21D 3 times 3 times 21, uh equal to uh um", "session_id": 15035, "sequence_id": 274, "annotations": []}
{"role": "student", "content": "um.", "session_id": 15035, "sequence_id": 275, "annotations": []}
{"role": "student", "content": "hold up", "session_id": 15035, "sequence_id": 276, "annotations": []}
{"role": "volunteer", "content": "Yeah, that's going well. Thank you. Mhm.", "session_id": 15035, "sequence_id": 277, "annotations": []}
{"role": "student", "content": "It's, it's probably equal to uh, I know.", "session_id": 15035, "sequence_id": 278, "annotations": []}
{"role": "student", "content": "basically just 21 times 3, but negative.", "session_id": 15035, "sequence_id": 279, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 15035, "sequence_id": 280, "annotations": []}
{"role": "volunteer", "content": "Yeah, so you can add up 21 3 times. Can you add it on them onto each other. 21 + 21 is?", "session_id": 15035, "sequence_id": 281, "annotations": []}
{"role": "student", "content": "Uh, it's 42.", "session_id": 15035, "sequence_id": 282, "annotations": []}
{"role": "volunteer", "content": "Good. And 42 out of the 21 is", "session_id": 15035, "sequence_id": 283, "annotations": []}
{"role": "student", "content": "63", "session_id": 15035, "sequence_id": 284, "annotations": []}
{"role": "volunteer", "content": "Thank you, that's really well done, Michael. Have you got any questions in your, uh, school book?", "session_id": 15035, "sequence_id": 285, "annotations": [{"pii_type": "PERSON", "surrogate": "Michael", "start": 36, "end": 43}]}
{"role": "volunteer", "content": "on the distributive properties for us to do.", "session_id": 15035, "sequence_id": 286, "annotations": []}
{"role": "volunteer", "content": "Yeah, give us one moment", "session_id": 15035, "sequence_id": 287, "annotations": []}
{"role": "student", "content": "Well, I do have questions, but uh they're already answered. Just that I do have", "session_id": 15035, "sequence_id": 288, "annotations": []}
{"role": "volunteer", "content": "Oh, there you know good, good, good.", "session_id": 15035, "sequence_id": 289, "annotations": []}
{"role": "volunteer", "content": "Mhm", "session_id": 15035, "sequence_id": 290, "annotations": []}
{"role": "student", "content": "yeah, they're already answered.", "session_id": 15035, "sequence_id": 291, "annotations": []}
{"role": "volunteer", "content": "OK then. Thanks so much for being such a, a great, great, um,", "session_id": 15035, "sequence_id": 292, "annotations": []}
{"role": "volunteer", "content": "proactive student today. And do enjoy the rest of your, uh, studies in free algebra.", "session_id": 15035, "sequence_id": 293, "annotations": []}
{"role": "student", "content": "OK, bye.", "session_id": 15035, "sequence_id": 294, "annotations": []}
{"role": "volunteer", "content": "I don't know.", "session_id": 15035, "sequence_id": 295, "annotations": []}
{"role": "student", "content": "Bye", "session_id": 15035, "sequence_id": 296, "annotations": []}
{"role": "volunteer", "content": "one", "session_id": 15035, "sequence_id": 297, "annotations": []}
{"role": "volunteer", "content": "I didn't like that", "session_id": 15035, "sequence_id": 298, "annotations": []}
{"role": "volunteer", "content": "Hi", "session_id": 15082, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "Morning! How are you?", "session_id": 15082, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "I am well", "session_id": 15082, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "how are you?", "session_id": 15082, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "How was your weekend?", "session_id": 15082, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "I'm good. It was good.", "session_id": 15082, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "how about you>", "session_id": 15082, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "It was good. It was good, just um", "session_id": 15082, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "was calm, just what I, I prefer.", "session_id": 15082, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "Excitement gets to be too much.", "session_id": 15082, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "Awesome!", "session_id": 15082, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "Man, I am so out of practice.", "session_id": 15082, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "these intervals", "session_id": 15082, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "integrals.", "session_id": 15082, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "Oh, the, what did I do that?", "session_id": 15082, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "Anyway,", "session_id": 15082, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "um", "session_id": 15082, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "have you been able to", "session_id": 15082, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "or let's see, where, where did we leave? Actually, did you want to start with anything?", "session_id": 15082, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "Any comments or questions or", "session_id": 15082, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "hope I didn't lose you", "session_id": 15082, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "let's start with last topic", "session_id": 15082, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "where we left you", "session_id": 15082, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "Where we left me", "session_id": 15082, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "ohh, sorry, off**", "session_id": 15082, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "let's see, where did we leave me last time?", "session_id": 15082, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "Right", "session_id": 15082, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "So, last time we had glossed over.", "session_id": 15082, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "the various", "session_id": 15082, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "um forms of integration by fractions.", "session_id": 15082, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "mainly this table.", "session_id": 15082, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "which just covers like the form of the restroom, but you notice that they don't really go beyond um 3rd degree polynomials here.", "session_id": 15082, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "Um, that is because", "session_id": 15082, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "you can typically", "session_id": 15082, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "uh", "session_id": 15082, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "rewrite", "session_id": 15082, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "the expression", "session_id": 15082, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "um for a higher norm for a higher-order polynomial.", "session_id": 15082, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "If you can, if you can't if you can factor it and then kind of rewrite it as um", "session_id": 15082, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "a group of smaller polynomials.", "session_id": 15082, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "or lesser order polynomials that preach you the best way to go.", "session_id": 15082, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "But I think, and I also don't think they're gonna give you", "session_id": 15082, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "they're gonna have you do problems that are", "session_id": 15082, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "higher order than 3,", "session_id": 15082, "sequence_id": 43, "annotations": []}
{"role": "student", "content": "right,", "session_id": 15082, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "right, but I, I don't think we actually did any problems.", "session_id": 15082, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "Um", "session_id": 15082, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "let's see, what do we cover last time? We had finished doing", "session_id": 15082, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "the particular", "session_id": 15082, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "um the previous chapter covered", "session_id": 15082, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "particular integrals", "session_id": 15082, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "which involved", "session_id": 15082, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "um", "session_id": 15082, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "just in just trig properties.", "session_id": 15082, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "and logarithmic properties, right? We had this table, which I really wished they would have gave this its own table.", "session_id": 15082, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "rather than the way they have it written out.", "session_id": 15082, "sequence_id": 55, "annotations": []}
{"role": "student", "content": "yeah, that would have been very helpful", "session_id": 15082, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "Uh, but again, these are all just various um", "session_id": 15082, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "various forms.", "session_id": 15082, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "that I borrowed that are already known, they've been proven, we've seen them proven. Um, they just kind of help the integration process.", "session_id": 15082, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "right? So that we, so that we can get whatever problems we have, we can just, if we can figure out how to write them, um, typically by substitution, if we can figure out how to write them in the forms that we know, basically, uh, um, these", "session_id": 15082, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "uh", "session_id": 15082, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "forms which are, uh, derivatives of either 2nd order or 1st order.", "session_id": 15082, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "um, polynomials", "session_id": 15082, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "Well, square rooted second-ordered polynomials.", "session_id": 15082, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "Um.", "session_id": 15082, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "then these already have known solutions.", "session_id": 15082, "sequence_id": 66, "annotations": []}
{"role": "student", "content": "yes right", "session_id": 15082, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "and then it just becomes a form of, you know, how do you apply it?", "session_id": 15082, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "right? And then now we get to, well, what happens if we have", "session_id": 15082, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "um rational", "session_id": 15082, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "expressions with", "session_id": 15082, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "polynomials and denominator, as always, partial fresh, where um", "session_id": 15082, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "they do, they have a B term in the middle.", "session_id": 15082, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "right, because the previous polynomials were always x-a minus x, right, which could be", "session_id": 15082, "sequence_id": 74, "annotations": []}
{"role": "volunteer", "content": "factored into um X + A or X minus A or so on and so forth.", "session_id": 15082, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "but never really, um,", "session_id": 15082, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "the full expanded form didn't cover having an uh", "session_id": 15082, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "an X term in the second-order polynomial. Now we're covering that other aspect where now, OK, we have", "session_id": 15082, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "a second-order polynomials that can be factored into two different expressions, but have this um", "session_id": 15082, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "what is this? A + B term?", "session_id": 15082, "sequence_id": 80, "annotations": []}
{"role": "volunteer", "content": "for X", "session_id": 15082, "sequence_id": 81, "annotations": []}
{"role": "volunteer", "content": "or even 3 or polynomials.", "session_id": 15082, "sequence_id": 82, "annotations": []}
{"role": "volunteer", "content": "Um.", "session_id": 15082, "sequence_id": 83, "annotations": []}
{"role": "volunteer", "content": "which I think actually", "session_id": 15082, "sequence_id": 84, "annotations": []}
{"role": "volunteer", "content": "the last few polyno the last few expressions also covered that.", "session_id": 15082, "sequence_id": 85, "annotations": []}
{"role": "volunteer", "content": "Where is it", "session_id": 15082, "sequence_id": 86, "annotations": []}
{"role": "volunteer", "content": "Yes, here", "session_id": 15082, "sequence_id": 87, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 15082, "sequence_id": 88, "annotations": []}
{"role": "volunteer", "content": "wild", "session_id": 15082, "sequence_id": 89, "annotations": []}
{"role": "volunteer", "content": "Wild.", "session_id": 15082, "sequence_id": 90, "annotations": []}
{"role": "volunteer", "content": "Anyway, so logically", "session_id": 15082, "sequence_id": 91, "annotations": []}
{"role": "volunteer", "content": "you can kind of see um the progression. It's just typically as these things go, that, you know, integration is a skill.", "session_id": 15082, "sequence_id": 92, "annotations": []}
{"role": "volunteer", "content": "Um.", "session_id": 15082, "sequence_id": 93, "annotations": []}
{"role": "volunteer", "content": "and only we get better, if you get better at a scale is to just keep practicing.", "session_id": 15082, "sequence_id": 94, "annotations": []}
{"role": "volunteer", "content": "So", "session_id": 15082, "sequence_id": 95, "annotations": []}
{"role": "volunteer", "content": "that is", "session_id": 15082, "sequence_id": 96, "annotations": []}
{"role": "volunteer", "content": "kind of what I've planned today.", "session_id": 15082, "sequence_id": 97, "annotations": []}
{"role": "volunteer", "content": "um, unless you've already practiced, done problems. We can go over the example problems", "session_id": 15082, "sequence_id": 98, "annotations": []}
{"role": "volunteer", "content": "Um,", "session_id": 15082, "sequence_id": 99, "annotations": []}
{"role": "volunteer", "content": "if not, then we can move on to", "session_id": 15082, "sequence_id": 100, "annotations": []}
{"role": "volunteer", "content": "if you have done them, then we can move on to um", "session_id": 15082, "sequence_id": 101, "annotations": []}
{"role": "student", "content": "I did 7.4", "session_id": 15082, "sequence_id": 102, "annotations": []}
{"role": "volunteer", "content": "integration by parts.", "session_id": 15082, "sequence_id": 103, "annotations": []}
{"role": "volunteer", "content": "You did 7.4. OK. So you haven't done 7.5.", "session_id": 15082, "sequence_id": 104, "annotations": []}
{"role": "volunteer", "content": "So we can go through the example problems and then move on to actual problems. And then, um, touch on, actually, you'll probably have time to do integration by parts depending on how", "session_id": 15082, "sequence_id": 105, "annotations": []}
{"role": "volunteer", "content": "many practice problems we do.", "session_id": 15082, "sequence_id": 106, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 15082, "sequence_id": 107, "annotations": []}
{"role": "volunteer", "content": "Yeah, and I need to practice. I was trying to do 7.5.", "session_id": 15082, "sequence_id": 108, "annotations": []}
{"role": "volunteer", "content": "and kind of hit a wall right away.", "session_id": 15082, "sequence_id": 109, "annotations": []}
{"role": "volunteer", "content": "That's why I said I'm", "session_id": 15082, "sequence_id": 110, "annotations": []}
{"role": "volunteer", "content": "I need to practice.", "session_id": 15082, "sequence_id": 111, "annotations": []}
{"role": "volunteer", "content": "Most of this stuff should be obvious, but", "session_id": 15082, "sequence_id": 112, "annotations": []}
{"role": "volunteer", "content": "OK, so", "session_id": 15082, "sequence_id": 113, "annotations": []}
{"role": "volunteer", "content": "can you, um, do I need to zoom in or anything? I don't think I can zoom in comfortably.", "session_id": 15082, "sequence_id": 114, "annotations": []}
{"role": "volunteer", "content": "and very tight", "session_id": 15082, "sequence_id": 115, "annotations": []}
{"role": "volunteer", "content": "There we go", "session_id": 15082, "sequence_id": 116, "annotations": []}
{"role": "volunteer", "content": "All right. So do we need any", "session_id": 15082, "sequence_id": 117, "annotations": []}
{"role": "volunteer", "content": "well, let's just go through the theory.", "session_id": 15082, "sequence_id": 118, "annotations": []}
{"role": "volunteer", "content": "It always helps", "session_id": 15082, "sequence_id": 119, "annotations": []}
{"role": "student", "content": "yes", "session_id": 15082, "sequence_id": 120, "annotations": []}
{"role": "volunteer", "content": "Hopefully it won't confuse us", "session_id": 15082, "sequence_id": 121, "annotations": []}
{"role": "volunteer", "content": "So recall that a rational fraction is function as a fraction, function is defined as a ratio of 2 polynomials.", "session_id": 15082, "sequence_id": 122, "annotations": []}
{"role": "volunteer", "content": "in the form of PPX divided by Q x.", "session_id": 15082, "sequence_id": 123, "annotations": []}
{"role": "volunteer", "content": "or P and Q are polynomials in X and PFU obviously can't, can't be have a root, can't have a root.", "session_id": 15082, "sequence_id": 124, "annotations": []}
{"role": "volunteer", "content": "that will um", "session_id": 15082, "sequence_id": 125, "annotations": []}
{"role": "volunteer", "content": "affect the expression.", "session_id": 15082, "sequence_id": 126, "annotations": []}
{"role": "volunteer", "content": "Actually, that's not right. I can't say it can't have fruits it's just that it, we don't consider", "session_id": 15082, "sequence_id": 127, "annotations": []}
{"role": "volunteer", "content": "the times when uh P(x) has the root. We just don't include that in our domain.", "session_id": 15082, "sequence_id": 128, "annotations": []}
{"role": "volunteer", "content": "cause we know that they'll be undefined.", "session_id": 15082, "sequence_id": 129, "annotations": []}
{"role": "volunteer", "content": "Um, and this is assuming you can't just", "session_id": 15082, "sequence_id": 130, "annotations": []}
{"role": "volunteer", "content": "factor out and then get rid of the term.", "session_id": 15082, "sequence_id": 131, "annotations": []}
{"role": "volunteer", "content": "It just won't be, it just be irrational at that point.", "session_id": 15082, "sequence_id": 132, "annotations": []}
{"role": "volunteer", "content": "So you can factor out and get rid of the roots.", "session_id": 15082, "sequence_id": 133, "annotations": []}
{"role": "student", "content": "oh okay", "session_id": 15082, "sequence_id": 134, "annotations": []}
{"role": "volunteer", "content": "Anyway.", "session_id": 15082, "sequence_id": 135, "annotations": []}
{"role": "volunteer", "content": "Um, so if the degree of PF X", "session_id": 15082, "sequence_id": 136, "annotations": []}
{"role": "volunteer", "content": "is less than q of x.", "session_id": 15082, "sequence_id": 137, "annotations": []}
{"role": "volunteer", "content": "the rational fraction is called proper.", "session_id": 15082, "sequence_id": 138, "annotations": []}
{"role": "volunteer", "content": "Right, because just like we have our um", "session_id": 15082, "sequence_id": 139, "annotations": []}
{"role": "volunteer", "content": "fractions by itself, when we have a fraction that is, that has a numerator that is smaller than the denominator, we call that a proper fraction.", "session_id": 15082, "sequence_id": 140, "annotations": []}
{"role": "volunteer", "content": "right? Because you can't divide anymore.", "session_id": 15082, "sequence_id": 141, "annotations": []}
{"role": "student", "content": "right", "session_id": 15082, "sequence_id": 142, "annotations": []}
{"role": "volunteer", "content": "Whereas if the numerator is greater than the the denominator, then you have an improper fraction because then you can", "session_id": 15082, "sequence_id": 143, "annotations": []}
{"role": "volunteer", "content": "pull it out like, you know, 4/3, something like that, and you can, it's like 1 and 1/3, um", "session_id": 15082, "sequence_id": 144, "annotations": []}
{"role": "volunteer", "content": "you get the point", "session_id": 15082, "sequence_id": 145, "annotations": []}
{"role": "volunteer", "content": "So the improper, so it's otherwise, OK, the improper or rational facts could be reduced to the proper rational right.", "session_id": 15082, "sequence_id": 146, "annotations": []}
{"role": "volunteer", "content": "Function by long division process. Thus, if POX is improper, then P over Q is equal tot of X + R(x) over Q of X.", "session_id": 15082, "sequence_id": 147, "annotations": []}
{"role": "volunteer", "content": "which is um realizing now important.", "session_id": 15082, "sequence_id": 148, "annotations": []}
{"role": "volunteer", "content": "I was trying to do a problem and it gave me this and I", "session_id": 15082, "sequence_id": 149, "annotations": []}
{"role": "volunteer", "content": "feel like I applied it wrong.", "session_id": 15082, "sequence_id": 150, "annotations": []}
{"role": "volunteer", "content": "Anyway.", "session_id": 15082, "sequence_id": 151, "annotations": []}
{"role": "volunteer", "content": "TFX is a polynomial in X and", "session_id": 15082, "sequence_id": 152, "annotations": []}
{"role": "volunteer", "content": "R(x) over Qx is a proper rational fraction.", "session_id": 15082, "sequence_id": 153, "annotations": []}
{"role": "volunteer", "content": "as we know how to integrate polynomials, the integration of any rational function is reduced to the integration of a proper rational function.", "session_id": 15082, "sequence_id": 154, "annotations": []}
{"role": "volunteer", "content": "So basically, if you get a", "session_id": 15082, "sequence_id": 155, "annotations": []}
{"role": "volunteer", "content": "um", "session_id": 15082, "sequence_id": 156, "annotations": []}
{"role": "volunteer", "content": "rational function", "session_id": 15082, "sequence_id": 157, "annotations": []}
{"role": "volunteer", "content": "and you find that the degree of the enumerator is greater than the degree of the denominator", "session_id": 15082, "sequence_id": 158, "annotations": []}
{"role": "volunteer", "content": "Then you perform long division.", "session_id": 15082, "sequence_id": 159, "annotations": []}
{"role": "volunteer", "content": "to get a form.", "session_id": 15082, "sequence_id": 160, "annotations": []}
{"role": "volunteer", "content": "um to get a uh", "session_id": 15082, "sequence_id": 161, "annotations": []}
{"role": "volunteer", "content": "the function into a form of a proper function.", "session_id": 15082, "sequence_id": 162, "annotations": []}
{"role": "volunteer", "content": "right? So that PE is always equal to or less than q. The the degree, I'm sorry.", "session_id": 15082, "sequence_id": 163, "annotations": []}
{"role": "volunteer", "content": "I think specifically it has to be", "session_id": 15082, "sequence_id": 164, "annotations": []}
{"role": "volunteer", "content": "it doesn't say what happens when the degrees are equal to each other.", "session_id": 15082, "sequence_id": 165, "annotations": []}
{"role": "volunteer", "content": "We're just assuming from the table", "session_id": 15082, "sequence_id": 166, "annotations": []}
{"role": "volunteer", "content": "that", "session_id": 15082, "sequence_id": 167, "annotations": []}
{"role": "student", "content": "wait, can i get 5 mins pls", "session_id": 15082, "sequence_id": 168, "annotations": []}
{"role": "volunteer", "content": "the degree of the numerator", "session_id": 15082, "sequence_id": 169, "annotations": []}
{"role": "volunteer", "content": "yeah", "session_id": 15082, "sequence_id": 170, "annotations": []}
{"role": "volunteer", "content": "take your time", "session_id": 15082, "sequence_id": 171, "annotations": []}
{"role": "volunteer", "content": "Mhm", "session_id": 15082, "sequence_id": 172, "annotations": []}
{"role": "student", "content": "i'm back", "session_id": 15082, "sequence_id": 173, "annotations": []}
{"role": "volunteer", "content": "Welcome back.", "session_id": 15082, "sequence_id": 174, "annotations": []}
{"role": "student", "content": "thank you!", "session_id": 15082, "sequence_id": 175, "annotations": []}
{"role": "volunteer", "content": "Hm", "session_id": 15082, "sequence_id": 176, "annotations": []}
{"role": "student", "content": "let's continue", "session_id": 15082, "sequence_id": 177, "annotations": []}
{"role": "volunteer", "content": "Yeah, um.", "session_id": 15082, "sequence_id": 178, "annotations": []}
{"role": "volunteer", "content": "so", "session_id": 15082, "sequence_id": 179, "annotations": []}
{"role": "volunteer", "content": "what um", "session_id": 15082, "sequence_id": 180, "annotations": []}
{"role": "volunteer", "content": "so I said, I, I went right where we left off. So thus, if P over q is improper, i.e.", "session_id": 15082, "sequence_id": 181, "annotations": []}
{"role": "volunteer", "content": "that", "session_id": 15082, "sequence_id": 182, "annotations": []}
{"role": "volunteer", "content": "um", "session_id": 15082, "sequence_id": 183, "annotations": []}
{"role": "volunteer", "content": "if", "session_id": 15082, "sequence_id": 184, "annotations": []}
{"role": "volunteer", "content": "oh, OK, if, if the degree of P", "session_id": 15082, "sequence_id": 185, "annotations": []}
{"role": "volunteer", "content": "is greater than or equal to", "session_id": 15082, "sequence_id": 186, "annotations": []}
{"role": "volunteer", "content": "the degree of Q", "session_id": 15082, "sequence_id": 187, "annotations": []}
{"role": "volunteer", "content": "then their function is called proper.", "session_id": 15082, "sequence_id": 188, "annotations": []}
{"role": "volunteer", "content": "and if it's improper", "session_id": 15082, "sequence_id": 189, "annotations": []}
{"role": "volunteer", "content": "then we need to um", "session_id": 15082, "sequence_id": 190, "annotations": []}
{"role": "volunteer", "content": "do long division to make sure that P over q is improper, which means that", "session_id": 15082, "sequence_id": 191, "annotations": []}
{"role": "volunteer", "content": "even if P has the same degree as Q.", "session_id": 15082, "sequence_id": 192, "annotations": []}
{"role": "volunteer", "content": "you have to perform long you have to perform long division to get", "session_id": 15082, "sequence_id": 193, "annotations": []}
{"role": "volunteer", "content": "this form", "session_id": 15082, "sequence_id": 194, "annotations": []}
{"role": "volunteer", "content": "to be able to make it um", "session_id": 15082, "sequence_id": 195, "annotations": []}
{"role": "volunteer", "content": "integradable, eat more or, or be able to redefine it such that it's easier to integrate.", "session_id": 15082, "sequence_id": 196, "annotations": []}
{"role": "student", "content": "convert into mixed fraction?", "session_id": 15082, "sequence_id": 197, "annotations": []}
{"role": "volunteer", "content": "kind of", "session_id": 15082, "sequence_id": 198, "annotations": []}
{"role": "volunteer", "content": "Yeah, you want to convert it into mixed fraction, basically.", "session_id": 15082, "sequence_id": 199, "annotations": []}
{"role": "student", "content": "okay", "session_id": 15082, "sequence_id": 200, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 15082, "sequence_id": 201, "annotations": []}
{"role": "volunteer", "content": "Um", "session_id": 15082, "sequence_id": 202, "annotations": []}
{"role": "volunteer", "content": "yeah, it's, and then, uh, let's see. And R(x) is a polynomial inex.", "session_id": 15082, "sequence_id": 203, "annotations": []}
{"role": "volunteer", "content": "P Q y over Q is a proper rational function, as we know how to integrate polynomials, integration of inter rational function is reduced to the integration of a proper rational function.", "session_id": 15082, "sequence_id": 204, "annotations": []}
{"role": "volunteer", "content": "So they're saying that integration of any rational function.", "session_id": 15082, "sequence_id": 205, "annotations": []}
{"role": "volunteer", "content": "can be reduced to the innovation of a proper rational function or saying more than likely that they're saying that you pretty much have to do it.", "session_id": 15082, "sequence_id": 206, "annotations": []}
{"role": "volunteer", "content": "The rational fractions, which", "session_id": 15082, "sequence_id": 207, "annotations": []}
{"role": "volunteer", "content": "we shall consider here for integration purposes will be those whose denominators can be factored into linear and quadratic factors.", "session_id": 15082, "sequence_id": 208, "annotations": []}
{"role": "volunteer", "content": "So it's saying right here that the ones that they will consider, means that there are other forms with higher degree denominators, but they're just only considering linear and 1st and 2nd order.", "session_id": 15082, "sequence_id": 209, "annotations": []}
{"role": "volunteer", "content": "denominators", "session_id": 15082, "sequence_id": 210, "annotations": []}
{"role": "student", "content": "ohh okay", "session_id": 15082, "sequence_id": 211, "annotations": []}
{"role": "volunteer", "content": "And then assuming we want to evaluate where P overq is a proper rational function it's always possible to write the innergra.", "session_id": 15082, "sequence_id": 212, "annotations": []}
{"role": "volunteer", "content": "as the sum of simpler rational functions by using partial fraction decomposition, which is basically what you're saying.", "session_id": 15082, "sequence_id": 213, "annotations": []}
{"role": "volunteer", "content": "Um, kind of", "session_id": 15082, "sequence_id": 214, "annotations": []}
{"role": "volunteer", "content": "you know, if it's greater, then you have to kind of mixed fractions, um, but", "session_id": 15082, "sequence_id": 215, "annotations": []}
{"role": "volunteer", "content": "just trying to write it as something that's more understandable.", "session_id": 15082, "sequence_id": 216, "annotations": []}
{"role": "volunteer", "content": "Then after this, the integration could be carried out easily using the already known methods, and that's the", "session_id": 15082, "sequence_id": 217, "annotations": []}
{"role": "volunteer", "content": "big thing here, the past few chapters, it's just they've been giving you known methods.", "session_id": 15082, "sequence_id": 218, "annotations": []}
{"role": "volunteer", "content": "right? All these different tools", "session_id": 15082, "sequence_id": 219, "annotations": []}
{"role": "volunteer", "content": "so if you can figure out how", "session_id": 15082, "sequence_id": 220, "annotations": []}
{"role": "volunteer", "content": "the, the square peg can fit this can fit the whole.", "session_id": 15082, "sequence_id": 221, "annotations": []}
{"role": "volunteer", "content": "then, you know", "session_id": 15082, "sequence_id": 222, "annotations": []}
{"role": "volunteer", "content": "it certainly helps to", "session_id": 15082, "sequence_id": 223, "annotations": []}
{"role": "volunteer", "content": "uh solve the problem.", "session_id": 15082, "sequence_id": 224, "annotations": []}
{"role": "volunteer", "content": "Cause I mean, you know, when you look at a problem like, oh, if I can just rewrite this to be like a square hole, then I can use the square peg.", "session_id": 15082, "sequence_id": 225, "annotations": []}
{"role": "volunteer", "content": "or something else", "session_id": 15082, "sequence_id": 226, "annotations": []}
{"role": "student", "content": "right", "session_id": 15082, "sequence_id": 227, "annotations": []}
{"role": "volunteer", "content": "Um, and then the following table 7.2 indicates a type of simpl fractions that are being associated.", "session_id": 15082, "sequence_id": 228, "annotations": []}
{"role": "volunteer", "content": "associated with various kinds of rational fractions.", "session_id": 15082, "sequence_id": 229, "annotations": []}
{"role": "volunteer", "content": "All right, so here", "session_id": 15082, "sequence_id": 230, "annotations": []}
{"role": "volunteer", "content": "we have", "session_id": 15082, "sequence_id": 231, "annotations": []}
{"role": "volunteer", "content": "um this first stipulation threw me off for a I I rethink about it. I don't know why, but", "session_id": 15082, "sequence_id": 232, "annotations": []}
{"role": "volunteer", "content": "give me one sec", "session_id": 15082, "sequence_id": 233, "annotations": []}
{"role": "student", "content": "sure", "session_id": 15082, "sequence_id": 234, "annotations": []}
{"role": "volunteer", "content": "Right, I think I just assumed it said A cannot equal zero, and I was throwing me off.", "session_id": 15082, "sequence_id": 235, "annotations": []}
{"role": "volunteer", "content": "Um, but this first one", "session_id": 15082, "sequence_id": 236, "annotations": []}
{"role": "volunteer", "content": "this saying that A cannot equal zero,", "session_id": 15082, "sequence_id": 237, "annotations": []}
{"role": "volunteer", "content": "it's kind of an important s uh stipulation.", "session_id": 15082, "sequence_id": 238, "annotations": []}
{"role": "volunteer", "content": "because if, if A equals 0, then we'd just be left with x^2 - a^2 minus x minus x1, which is already given in the previous chapter.", "session_id": 15082, "sequence_id": 239, "annotations": []}
{"role": "student", "content": "ohh right, we have directly formula for it", "session_id": 15082, "sequence_id": 240, "annotations": []}
{"role": "volunteer", "content": "So they're just, yeah.", "session_id": 15082, "sequence_id": 241, "annotations": []}
{"role": "volunteer", "content": "right now they, they're just kind of", "session_id": 15082, "sequence_id": 242, "annotations": []}
{"role": "volunteer", "content": "stipulating that they have to be, just so that we have, we already, we already solved the other one we care about when these are the other cases of um", "session_id": 15082, "sequence_id": 243, "annotations": []}
{"role": "volunteer", "content": "the denominator being different of the denominator being different, right? You already solved x^2 - a^2 minus a. Now we care about when it's", "session_id": 15082, "sequence_id": 244, "annotations": []}
{"role": "volunteer", "content": "X minus A and X + X minus B. And one thing you notice, um", "session_id": 15082, "sequence_id": 245, "annotations": []}
{"role": "volunteer", "content": "is, there is no coefficient for X, it's just 1.", "session_id": 15082, "sequence_id": 246, "annotations": []}
{"role": "volunteer", "content": "All the everything the denominator has no eco efficient, which means that whatever form you get, you have to factor out", "session_id": 15082, "sequence_id": 247, "annotations": []}
{"role": "volunteer", "content": "the coefficients", "session_id": 15082, "sequence_id": 248, "annotations": []}
{"role": "student", "content": "right", "session_id": 15082, "sequence_id": 249, "annotations": []}
{"role": "volunteer", "content": "um and pull them out of the inner grand. I mean, you don't have to pull them out of the innergra, but you do have to pull them out", "session_id": 15082, "sequence_id": 250, "annotations": []}
{"role": "volunteer", "content": "um,", "session_id": 15082, "sequence_id": 251, "annotations": []}
{"role": "volunteer", "content": "of the expression", "session_id": 15082, "sequence_id": 252, "annotations": []}
{"role": "student", "content": "gotcha!", "session_id": 15082, "sequence_id": 253, "annotations": []}
{"role": "volunteer", "content": "cause it may be useful to pull, to pull it out of the denometer and then you kind of", "session_id": 15082, "sequence_id": 254, "annotations": []}
{"role": "volunteer", "content": "can reduce the numerator, but sometimes it won't happen, so you may just have to pull it out of the inner grand entirely.", "session_id": 15082, "sequence_id": 255, "annotations": []}
{"role": "volunteer", "content": "So one thing that's interesting is", "session_id": 15082, "sequence_id": 256, "annotations": []}
{"role": "volunteer", "content": "this um", "session_id": 15082, "sequence_id": 257, "annotations": []}
{"role": "volunteer", "content": "squared term in the bottom x minus a square.", "session_id": 15082, "sequence_id": 258, "annotations": []}
{"role": "volunteer", "content": "where it actually comes out to these two forms here.", "session_id": 15082, "sequence_id": 259, "annotations": []}
{"role": "volunteer", "content": "the kind of X over A over X minus A and then big B over X minus B / (x-a)^2.", "session_id": 15082, "sequence_id": 260, "annotations": []}
{"role": "volunteer", "content": "That's interesting", "session_id": 15082, "sequence_id": 261, "annotations": []}
{"role": "student", "content": "yeah, they took it like that so that lcm can be (x-a)^a", "session_id": 15082, "sequence_id": 262, "annotations": []}
{"role": "student", "content": "2*", "session_id": 15082, "sequence_id": 263, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 15082, "sequence_id": 264, "annotations": []}
{"role": "volunteer", "content": "yeah", "session_id": 15082, "sequence_id": 265, "annotations": []}
{"role": "volunteer", "content": "um", "session_id": 15082, "sequence_id": 266, "annotations": []}
{"role": "volunteer", "content": "he's got multiple, yeah. Um", "session_id": 15082, "sequence_id": 267, "annotations": []}
{"role": "volunteer", "content": "another thing here is that, you know, using, oh jeez, what? I don't want to talk to co-pilot. Jeez, go away.", "session_id": 15082, "sequence_id": 268, "annotations": []}
{"role": "volunteer", "content": "Um", "session_id": 15082, "sequence_id": 269, "annotations": []}
{"role": "volunteer", "content": "sorry, I'm just being harassed by", "session_id": 15082, "sequence_id": 270, "annotations": []}
{"role": "volunteer", "content": "Microsoft, uh", "session_id": 15082, "sequence_id": 271, "annotations": []}
{"role": "volunteer", "content": "and one thing, you know, using this method, you will", "session_id": 15082, "sequence_id": 272, "annotations": []}
{"role": "volunteer", "content": "get um", "session_id": 15082, "sequence_id": 273, "annotations": []}
{"role": "volunteer", "content": "A, B, or C, you will get fractions.", "session_id": 15082, "sequence_id": 274, "annotations": []}
{"role": "volunteer", "content": "because you will have, because you do have to pull out the coefficients for X, you will more than likely have fractions like X minus 1/2, you know, X minus 2/3, you know, so on and so forth. So just", "session_id": 15082, "sequence_id": 275, "annotations": []}
{"role": "volunteer", "content": "kind of be mindful of that.", "session_id": 15082, "sequence_id": 276, "annotations": []}
{"role": "volunteer", "content": "Then", "session_id": 15082, "sequence_id": 277, "annotations": []}
{"role": "student", "content": "yeah, right", "session_id": 15082, "sequence_id": 278, "annotations": []}
{"role": "volunteer", "content": "here's another one", "session_id": 15082, "sequence_id": 279, "annotations": []}
{"role": "volunteer", "content": "right.", "session_id": 15082, "sequence_id": 280, "annotations": []}
{"role": "volunteer", "content": "LCM here.", "session_id": 15082, "sequence_id": 281, "annotations": []}
{"role": "volunteer", "content": "and just added a separate term.", "session_id": 15082, "sequence_id": 282, "annotations": []}
{"role": "volunteer", "content": "but this is a third-order cubic function in the bottom.", "session_id": 15082, "sequence_id": 283, "annotations": []}
{"role": "volunteer", "content": "and same here.", "session_id": 15082, "sequence_id": 284, "annotations": []}
{"role": "volunteer", "content": "It says we're Ax^2 + BX + C cannot be factorized further.", "session_id": 15082, "sequence_id": 285, "annotations": []}
{"role": "volunteer", "content": "Right? Cause if you did, then you just have", "session_id": 15082, "sequence_id": 286, "annotations": []}
{"role": "volunteer", "content": "um 3 then.", "session_id": 15082, "sequence_id": 287, "annotations": []}
{"role": "volunteer", "content": "OK, that's the theory.", "session_id": 15082, "sequence_id": 288, "annotations": []}
{"role": "volunteer", "content": "Now for example.", "session_id": 15082, "sequence_id": 289, "annotations": []}
{"role": "volunteer", "content": "Um", "session_id": 15082, "sequence_id": 290, "annotations": []}
{"role": "volunteer", "content": "I kind of want to screenshot this.", "session_id": 15082, "sequence_id": 291, "annotations": []}
{"role": "volunteer", "content": "Do you know how to just take a pic, uh, take a screenshot of the tab", "session_id": 15082, "sequence_id": 292, "annotations": []}
{"role": "volunteer", "content": "I forget how to do that", "session_id": 15082, "sequence_id": 293, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 15082, "sequence_id": 294, "annotations": []}
{"role": "student", "content": "you can take snip", "session_id": 15082, "sequence_id": 295, "annotations": []}
{"role": "volunteer", "content": "Oh yeah, snippy snip", "session_id": 15082, "sequence_id": 296, "annotations": []}
{"role": "student", "content": "it's win + shift + s", "session_id": 15082, "sequence_id": 297, "annotations": []}
{"role": "volunteer", "content": "When shift", "session_id": 15082, "sequence_id": 298, "annotations": []}
{"role": "volunteer", "content": "S", "session_id": 15082, "sequence_id": 299, "annotations": []}
{"role": "volunteer", "content": "Hm", "session_id": 15082, "sequence_id": 300, "annotations": []}
{"role": "volunteer", "content": "Actually, you know what? I wanna take a snippy snip of the previous ones too.", "session_id": 15082, "sequence_id": 301, "annotations": []}
{"role": "volunteer", "content": "Oh, why did they separate these? Why couldn't they just have a nice table?", "session_id": 15082, "sequence_id": 302, "annotations": []}
{"role": "volunteer", "content": "Girl?", "session_id": 15082, "sequence_id": 303, "annotations": []}
{"role": "volunteer", "content": "Gir.", "session_id": 15082, "sequence_id": 304, "annotations": []}
{"role": "volunteer", "content": "Oh, wind shift S, sorry you had to be here to watch this.", "session_id": 15082, "sequence_id": 305, "annotations": []}
{"role": "volunteer", "content": "Just some housekeeping.", "session_id": 15082, "sequence_id": 306, "annotations": []}
{"role": "volunteer", "content": "Um.", "session_id": 15082, "sequence_id": 307, "annotations": []}
{"role": "volunteer", "content": "not this.", "session_id": 15082, "sequence_id": 308, "annotations": []}
{"role": "volunteer", "content": "Just snipping crazy.", "session_id": 15082, "sequence_id": 309, "annotations": []}
{"role": "student", "content": "you can zoom out a bit, to add that one in", "session_id": 15082, "sequence_id": 310, "annotations": []}
{"role": "volunteer", "content": "Um, I, are there any other forms?", "session_id": 15082, "sequence_id": 311, "annotations": []}
{"role": "volunteer", "content": "Well, I guess I could have", "session_id": 15082, "sequence_id": 312, "annotations": []}
{"role": "volunteer", "content": "Mm, lean out.", "session_id": 15082, "sequence_id": 313, "annotations": []}
{"role": "volunteer", "content": "Hit that page divider", "session_id": 15082, "sequence_id": 314, "annotations": []}
{"role": "volunteer", "content": "I'm sorry, hate is a strong word. I dislike it.", "session_id": 15082, "sequence_id": 315, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 15082, "sequence_id": 316, "annotations": []}
{"role": "volunteer", "content": "Um, let's see. Are there any other forms", "session_id": 15082, "sequence_id": 317, "annotations": []}
{"role": "volunteer", "content": "that I think it's", "session_id": 15082, "sequence_id": 318, "annotations": []}
{"role": "volunteer", "content": "True identities", "session_id": 15082, "sequence_id": 319, "annotations": []}
{"role": "student", "content": "you have to save this snips too, if wanna see them later", "session_id": 15082, "sequence_id": 320, "annotations": []}
{"role": "volunteer", "content": "cause I'm too lazy", "session_id": 15082, "sequence_id": 321, "annotations": []}
{"role": "volunteer", "content": "Oh shoot, did I not save them?", "session_id": 15082, "sequence_id": 322, "annotations": []}
{"role": "volunteer", "content": "No, I think they're saved.", "session_id": 15082, "sequence_id": 323, "annotations": []}
{"role": "volunteer", "content": "or they're", "session_id": 15082, "sequence_id": 324, "annotations": []}
{"role": "volunteer", "content": "screenshot copied the clipboard.", "session_id": 15082, "sequence_id": 325, "annotations": []}
{"role": "volunteer", "content": "automatically saved to screenshots folder.", "session_id": 15082, "sequence_id": 326, "annotations": []}
{"role": "volunteer", "content": "trying to scare me", "session_id": 15082, "sequence_id": 327, "annotations": []}
{"role": "volunteer", "content": "I'm on to you", "session_id": 15082, "sequence_id": 328, "annotations": []}
{"role": "student", "content": "they are save to clipboard", "session_id": 15082, "sequence_id": 329, "annotations": []}
{"role": "student", "content": "not folder", "session_id": 15082, "sequence_id": 330, "annotations": []}
{"role": "volunteer", "content": "They said, well, my tab said they're safe to automatically save to screenshots folder.", "session_id": 15082, "sequence_id": 331, "annotations": []}
{"role": "volunteer", "content": "So I would have to", "session_id": 15082, "sequence_id": 332, "annotations": []}
{"role": "volunteer", "content": "let me verify, is it Windows E? Yeah.", "session_id": 15082, "sequence_id": 333, "annotations": []}
{"role": "volunteer", "content": "Um, search, uh, screenshots.", "session_id": 15082, "sequence_id": 334, "annotations": []}
{"role": "student", "content": "\ud83d\ude2f", "session_id": 15082, "sequence_id": 335, "annotations": []}
{"role": "volunteer", "content": "No, yeah, they're saved to my screenshots folder.", "session_id": 15082, "sequence_id": 336, "annotations": []}
{"role": "volunteer", "content": "just to prove a point.", "session_id": 15082, "sequence_id": 337, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 15082, "sequence_id": 338, "annotations": []}
{"role": "volunteer", "content": "is", "session_id": 15082, "sequence_id": 339, "annotations": []}
{"role": "volunteer", "content": "here's image.", "session_id": 15082, "sequence_id": 340, "annotations": []}
{"role": "volunteer", "content": "there", "session_id": 15082, "sequence_id": 341, "annotations": []}
{"role": "volunteer", "content": "Can you see it", "session_id": 15082, "sequence_id": 342, "annotations": []}
{"role": "student", "content": "what?", "session_id": 15082, "sequence_id": 343, "annotations": []}
{"role": "volunteer", "content": "I put it on the board, one of the screenshots.", "session_id": 15082, "sequence_id": 344, "annotations": []}
{"role": "student", "content": "ohh, i see it.", "session_id": 15082, "sequence_id": 345, "annotations": []}
{"role": "volunteer", "content": "And then I can toss this other one up there too.", "session_id": 15082, "sequence_id": 346, "annotations": []}
{"role": "volunteer", "content": "Boom", "session_id": 15082, "sequence_id": 347, "annotations": []}
{"role": "student", "content": "i have to save them myself", "session_id": 15082, "sequence_id": 348, "annotations": []}
{"role": "volunteer", "content": "No, I feel like I could have just used the other screenshots, this page divide is annoying.", "session_id": 15082, "sequence_id": 349, "annotations": []}
{"role": "volunteer", "content": "Do you really", "session_id": 15082, "sequence_id": 350, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 15082, "sequence_id": 351, "annotations": []}
{"role": "volunteer", "content": "Um, if you want, let me", "session_id": 15082, "sequence_id": 352, "annotations": []}
{"role": "volunteer", "content": "if you want to be, if you want to be able to", "session_id": 15082, "sequence_id": 353, "annotations": []}
{"role": "volunteer", "content": "screenshot it yourself.", "session_id": 15082, "sequence_id": 354, "annotations": []}
{"role": "volunteer", "content": "We can just make this window", "session_id": 15082, "sequence_id": 355, "annotations": []}
{"role": "volunteer", "content": "so no, I guess it doesn't work. Never mind.", "session_id": 15082, "sequence_id": 356, "annotations": []}
{"role": "volunteer", "content": "You have to screenshot of a screenshot, I guess.", "session_id": 15082, "sequence_id": 357, "annotations": []}
{"role": "volunteer", "content": "Can you actually save", "session_id": 15082, "sequence_id": 358, "annotations": []}
{"role": "volunteer", "content": "the", "session_id": 15082, "sequence_id": 359, "annotations": []}
{"role": "volunteer", "content": "if I upload something, can you actually save it?", "session_id": 15082, "sequence_id": 360, "annotations": []}
{"role": "volunteer", "content": "I mean, I guess you could save the image.", "session_id": 15082, "sequence_id": 361, "annotations": []}
{"role": "student", "content": "no", "session_id": 15082, "sequence_id": 362, "annotations": []}
{"role": "volunteer", "content": "No, I never thought of that", "session_id": 15082, "sequence_id": 363, "annotations": []}
{"role": "volunteer", "content": "You can't save it", "session_id": 15082, "sequence_id": 364, "annotations": []}
{"role": "volunteer", "content": "question mark", "session_id": 15082, "sequence_id": 365, "annotations": []}
{"role": "student", "content": "no ican't", "session_id": 15082, "sequence_id": 366, "annotations": []}
{"role": "volunteer", "content": "Mhm. Um.", "session_id": 15082, "sequence_id": 367, "annotations": []}
{"role": "volunteer", "content": "let me, can you take a snip of", "session_id": 15082, "sequence_id": 368, "annotations": []}
{"role": "volunteer", "content": "the screen share", "session_id": 15082, "sequence_id": 369, "annotations": []}
{"role": "volunteer", "content": "yourself", "session_id": 15082, "sequence_id": 370, "annotations": []}
{"role": "student", "content": "yes", "session_id": 15082, "sequence_id": 371, "annotations": []}
{"role": "volunteer", "content": "I mean, actually you have the textbooks", "session_id": 15082, "sequence_id": 372, "annotations": []}
{"role": "volunteer", "content": "might be more", "session_id": 15082, "sequence_id": 373, "annotations": []}
{"role": "volunteer", "content": "easier for you then they just go into the textbook and scre and snip it.", "session_id": 15082, "sequence_id": 374, "annotations": []}
{"role": "volunteer", "content": "I keep forgetting you're the source.", "session_id": 15082, "sequence_id": 375, "annotations": []}
{"role": "student", "content": "yeah, i can do that too", "session_id": 15082, "sequence_id": 376, "annotations": []}
{"role": "student", "content": "good point", "session_id": 15082, "sequence_id": 377, "annotations": []}
{"role": "student", "content": "done!", "session_id": 15082, "sequence_id": 378, "annotations": []}
{"role": "volunteer", "content": "All right", "session_id": 15082, "sequence_id": 379, "annotations": []}
{"role": "volunteer", "content": "You're gonna start remembering these pages, this page 45, um, this page 47, Pre-Calculus. I think I prefer the", "session_id": 15082, "sequence_id": 380, "annotations": []}
{"role": "volunteer", "content": "document page rather than the textbook page.", "session_id": 15082, "sequence_id": 381, "annotations": []}
{"role": "volunteer", "content": "cause you can't really navigate using a textbook page. Oh, stop. Co-pilot, stop harassing me. How do I turn you off?", "session_id": 15082, "sequence_id": 382, "annotations": []}
{"role": "volunteer", "content": "I want to figure it out in my own time how to turn off co-pilot because this is just harassment.", "session_id": 15082, "sequence_id": 383, "annotations": []}
{"role": "volunteer", "content": "OK, well", "session_id": 15082, "sequence_id": 384, "annotations": []}
{"role": "volunteer", "content": "let's do some examples", "session_id": 15082, "sequence_id": 385, "annotations": []}
{"role": "student", "content": "yes", "session_id": 15082, "sequence_id": 386, "annotations": []}
{"role": "volunteer", "content": "So, feel free to go ahead and tackle", "session_id": 15082, "sequence_id": 387, "annotations": []}
{"role": "volunteer", "content": "for example 11", "session_id": 15082, "sequence_id": 388, "annotations": []}
{"role": "student", "content": "okay", "session_id": 15082, "sequence_id": 389, "annotations": []}
{"role": "volunteer", "content": "I have problem 6 is just beating me up.", "session_id": 15082, "sequence_id": 390, "annotations": []}
{"role": "volunteer", "content": "Sorry, I scrolled down, let me.", "session_id": 15082, "sequence_id": 391, "annotations": []}
{"role": "volunteer", "content": "put it back", "session_id": 15082, "sequence_id": 392, "annotations": []}
{"role": "student", "content": "done", "session_id": 15082, "sequence_id": 393, "annotations": []}
{"role": "volunteer", "content": "All right, let's see. Did you get", "session_id": 15082, "sequence_id": 394, "annotations": []}
{"role": "volunteer", "content": "a log of X + 1 over X + 2.", "session_id": 15082, "sequence_id": 395, "annotations": []}
{"role": "volunteer", "content": "I mean, I got natural log.", "session_id": 15082, "sequence_id": 396, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 15082, "sequence_id": 397, "annotations": []}
{"role": "volunteer", "content": "I keep forgetting I like to use log.", "session_id": 15082, "sequence_id": 398, "annotations": []}
{"role": "volunteer", "content": "They like to use log. That's annoying.", "session_id": 15082, "sequence_id": 399, "annotations": []}
{"role": "volunteer", "content": "Um, I don't know what they mean by log. I don't think they're saying log base 10 or log base E, I guess it's logbase 10, but I don't think", "session_id": 15082, "sequence_id": 400, "annotations": []}
{"role": "student", "content": "i used ln too", "session_id": 15082, "sequence_id": 401, "annotations": []}
{"role": "volunteer", "content": "um hold on one sec. What's the derivative of log space 10.", "session_id": 15082, "sequence_id": 402, "annotations": []}
{"role": "volunteer", "content": "Yeah, 1 over X natural log of 10. Yes, so what it is natural log. I don't know why they keep using log", "session_id": 15082, "sequence_id": 403, "annotations": []}
{"role": "volunteer", "content": "dummies", "session_id": 15082, "sequence_id": 404, "annotations": []}
{"role": "volunteer", "content": "dumb, dumb dummies.", "session_id": 15082, "sequence_id": 405, "annotations": []}
{"role": "volunteer", "content": "All right.", "session_id": 15082, "sequence_id": 406, "annotations": []}
{"role": "volunteer", "content": "We can move on to example 12.", "session_id": 15082, "sequence_id": 407, "annotations": []}
{"role": "volunteer", "content": "Now we have", "session_id": 15082, "sequence_id": 408, "annotations": []}
{"role": "volunteer", "content": "um", "session_id": 15082, "sequence_id": 409, "annotations": []}
{"role": "student", "content": "this is different than what we did last exercise", "session_id": 15082, "sequence_id": 410, "annotations": []}
{"role": "volunteer", "content": "what is different", "session_id": 15082, "sequence_id": 411, "annotations": []}
{"role": "volunteer", "content": "Sorry, I talked to myself too fast and I forgot what point we were", "session_id": 15082, "sequence_id": 412, "annotations": []}
{"role": "student", "content": "there is no differentiation for denominator", "session_id": 15082, "sequence_id": 413, "annotations": []}
{"role": "volunteer", "content": "and for what point you're trying to, there's no differentiation for denominator.", "session_id": 15082, "sequence_id": 414, "annotations": []}
{"role": "volunteer", "content": "That is because there is no coefficient.", "session_id": 15082, "sequence_id": 415, "annotations": []}
{"role": "volunteer", "content": "for X", "session_id": 15082, "sequence_id": 416, "annotations": []}
{"role": "volunteer", "content": "They do have a differentiate for denominator, but the coefficient is what? Oh, I see what you're saying.", "session_id": 15082, "sequence_id": 417, "annotations": []}
{"role": "volunteer", "content": "No, it's still the same thing cause the coefficient of", "session_id": 15082, "sequence_id": 418, "annotations": []}
{"role": "volunteer", "content": "um", "session_id": 15082, "sequence_id": 419, "annotations": []}
{"role": "volunteer", "content": "of actually of the coefficient is still one. So technically you do have differentiation, but it's just one, so it doesn't matter.", "session_id": 15082, "sequence_id": 420, "annotations": []}
{"role": "volunteer", "content": "But they didn't feel the need to ride it out.", "session_id": 15082, "sequence_id": 421, "annotations": []}
{"role": "volunteer", "content": "to write it out, right.", "session_id": 15082, "sequence_id": 422, "annotations": []}
{"role": "volunteer", "content": "Cause we can go back", "session_id": 15082, "sequence_id": 423, "annotations": []}
{"role": "volunteer", "content": "we have here", "session_id": 15082, "sequence_id": 424, "annotations": []}
{"role": "student", "content": "if we do, 1 = a [(x+1) (x+2)] + b, will we get same thing?", "session_id": 15082, "sequence_id": 425, "annotations": []}
{"role": "volunteer", "content": "right there", "session_id": 15082, "sequence_id": 426, "annotations": []}
{"role": "volunteer", "content": "I think we will", "session_id": 15082, "sequence_id": 427, "annotations": []}
{"role": "volunteer", "content": "Um, actually, I think you would need more", "session_id": 15082, "sequence_id": 428, "annotations": []}
{"role": "volunteer", "content": "I mean, I think we will get the same thing just because, you know, we're still talking about, for example, an apple", "session_id": 15082, "sequence_id": 429, "annotations": []}
{"role": "volunteer", "content": "right, we're still talking about the same thing. We're just kind of trying to rewrite it differently.", "session_id": 15082, "sequence_id": 430, "annotations": []}
{"role": "volunteer", "content": "but I think we'd still end up with the same result.", "session_id": 15082, "sequence_id": 431, "annotations": []}
{"role": "volunteer", "content": "Like if you were to", "session_id": 15082, "sequence_id": 432, "annotations": []}
{"role": "volunteer", "content": "divide it all out, you'd still get the same thing.", "session_id": 15082, "sequence_id": 433, "annotations": []}
{"role": "volunteer", "content": "Um", "session_id": 15082, "sequence_id": 434, "annotations": []}
{"role": "volunteer", "content": "one equals A, let me go back.", "session_id": 15082, "sequence_id": 435, "annotations": []}
{"role": "volunteer", "content": "I'm jumping too much", "session_id": 15082, "sequence_id": 436, "annotations": []}
{"role": "volunteer", "content": "Too many hoops. There we go.", "session_id": 15082, "sequence_id": 437, "annotations": []}
{"role": "volunteer", "content": "So you said", "session_id": 15082, "sequence_id": 438, "annotations": []}
{"role": "volunteer", "content": "1 equals", "session_id": 15082, "sequence_id": 439, "annotations": []}
{"role": "volunteer", "content": "A X + 1, X + 2 + B. So you're saying, what if we didn't separate the denominator?", "session_id": 15082, "sequence_id": 440, "annotations": []}
{"role": "volunteer", "content": "Actually, let's do it your way. Do it on the board.", "session_id": 15082, "sequence_id": 441, "annotations": []}
{"role": "volunteer", "content": "Let's see if you can prove that they're the same.", "session_id": 15082, "sequence_id": 442, "annotations": []}
{"role": "volunteer", "content": "When in doubt, do it out", "session_id": 15082, "sequence_id": 443, "annotations": []}
{"role": "student", "content": "okay", "session_id": 15082, "sequence_id": 444, "annotations": []}
{"role": "volunteer", "content": "You have the board", "session_id": 15082, "sequence_id": 445, "annotations": []}
{"role": "volunteer", "content": "You can't see me, but I'm flourishing my hand as a showman.", "session_id": 15082, "sequence_id": 446, "annotations": []}
{"role": "volunteer", "content": "Did you get 2 x + 3?", "session_id": 15082, "sequence_id": 447, "annotations": []}
{"role": "volunteer", "content": "Where did you get it", "session_id": 15082, "sequence_id": 448, "annotations": []}
{"role": "volunteer", "content": "Uh, yes, yes, yes, yes, yes, yes, I see it.", "session_id": 15082, "sequence_id": 449, "annotations": []}
{"role": "volunteer", "content": "Continue, please", "session_id": 15082, "sequence_id": 450, "annotations": []}
{"role": "volunteer", "content": "Wait, wait, wait. Wouldn't it be the other way around? Wouldn't it be 3X?", "session_id": 15082, "sequence_id": 451, "annotations": []}
{"role": "volunteer", "content": "Ah no, you're right. I'm sorry, I'm sorry. I'm way off.", "session_id": 15082, "sequence_id": 452, "annotations": []}
{"role": "volunteer", "content": "No, you can be 01", "session_id": 15082, "sequence_id": 453, "annotations": []}
{"role": "volunteer", "content": "not 0", "session_id": 15082, "sequence_id": 454, "annotations": []}
{"role": "student", "content": "it became problem", "session_id": 15082, "sequence_id": 455, "annotations": []}
{"role": "volunteer", "content": "Right", "session_id": 15082, "sequence_id": 456, "annotations": []}
{"role": "volunteer", "content": "So now you see why they did it the way they did.", "session_id": 15082, "sequence_id": 457, "annotations": []}
{"role": "volunteer", "content": "because really the only way to do it", "session_id": 15082, "sequence_id": 458, "annotations": []}
{"role": "student", "content": "right", "session_id": 15082, "sequence_id": 459, "annotations": []}
{"role": "volunteer", "content": "Or, I mean, you would, you would need", "session_id": 15082, "sequence_id": 460, "annotations": []}
{"role": "volunteer", "content": "more variables if you're doing it your way.", "session_id": 15082, "sequence_id": 461, "annotations": []}
{"role": "volunteer", "content": "But you have too many equations.", "session_id": 15082, "sequence_id": 462, "annotations": []}
{"role": "volunteer", "content": "I'm sorry, too little equations", "session_id": 15082, "sequence_id": 463, "annotations": []}
{"role": "volunteer", "content": "but it is what it is. So, it's good exercise.", "session_id": 15082, "sequence_id": 464, "annotations": []}
{"role": "student", "content": "b needs a equation", "session_id": 15082, "sequence_id": 465, "annotations": []}
{"role": "student", "content": "yeah, understood", "session_id": 15082, "sequence_id": 466, "annotations": []}
{"role": "volunteer", "content": "I mean, technically, you have what, 12,", "session_id": 15082, "sequence_id": 467, "annotations": []}
{"role": "volunteer", "content": "you have 3 equations, technically.", "session_id": 15082, "sequence_id": 468, "annotations": []}
{"role": "volunteer", "content": "cause you have a", "session_id": 15082, "sequence_id": 469, "annotations": []}
{"role": "volunteer", "content": "you have the X square term, you have the X term, and then you have the X to the 0 term. So you have 3 equations technically. So you could, you could have up to 3.", "session_id": 15082, "sequence_id": 470, "annotations": []}
{"role": "volunteer", "content": "um, variables.", "session_id": 15082, "sequence_id": 471, "annotations": []}
{"role": "volunteer", "content": "All right, that was fun", "session_id": 15082, "sequence_id": 472, "annotations": []}
{"role": "volunteer", "content": "Now we can do", "session_id": 15082, "sequence_id": 473, "annotations": []}
{"role": "volunteer", "content": "um", "session_id": 15082, "sequence_id": 474, "annotations": []}
{"role": "volunteer", "content": "an improper fraction.", "session_id": 15082, "sequence_id": 475, "annotations": []}
{"role": "volunteer", "content": "So example 12 is", "session_id": 15082, "sequence_id": 476, "annotations": []}
{"role": "volunteer", "content": "an improper fraction", "session_id": 15082, "sequence_id": 477, "annotations": []}
{"role": "volunteer", "content": "Oh, I'm sorry, can you see the screen?", "session_id": 15082, "sequence_id": 478, "annotations": []}
{"role": "volunteer", "content": "Actually, are you ready to move on? Do you have any more questions?", "session_id": 15082, "sequence_id": 479, "annotations": []}
{"role": "volunteer", "content": "um, about why they're not using the previous chapter's methodology. Actually, let me go back.", "session_id": 15082, "sequence_id": 480, "annotations": []}
{"role": "volunteer", "content": "We we were talking about it so much. Why don't they have DX in there?", "session_id": 15082, "sequence_id": 481, "annotations": []}
{"role": "volunteer", "content": "Um", "session_id": 15082, "sequence_id": 482, "annotations": []}
{"role": "volunteer", "content": "um, so if you go back", "session_id": 15082, "sequence_id": 483, "annotations": []}
{"role": "volunteer", "content": "or if you're looking at the screen, you see in the integral", "session_id": 15082, "sequence_id": 484, "annotations": []}
{"role": "volunteer", "content": "integral DX over AX2 + BX + C, and you see that you have all these coefficients, right?", "session_id": 15082, "sequence_id": 485, "annotations": []}
{"role": "volunteer", "content": "But what's the first thing they do?", "session_id": 15082, "sequence_id": 486, "annotations": []}
{"role": "student", "content": "right", "session_id": 15082, "sequence_id": 487, "annotations": []}
{"role": "volunteer", "content": "is they factor out A", "session_id": 15082, "sequence_id": 488, "annotations": []}
{"role": "volunteer", "content": "and you know, why is this important?", "session_id": 15082, "sequence_id": 489, "annotations": []}
{"role": "volunteer", "content": "Well", "session_id": 15082, "sequence_id": 490, "annotations": []}
{"role": "volunteer", "content": "if they didn't factor out A", "session_id": 15082, "sequence_id": 491, "annotations": []}
{"role": "volunteer", "content": "and you have this um", "session_id": 15082, "sequence_id": 492, "annotations": []}
{"role": "volunteer", "content": "AX", "session_id": 15082, "sequence_id": 493, "annotations": []}
{"role": "volunteer", "content": "you try to rewrite, and you try to rewrite these expressions, you'd have, like, as you have here, um", "session_id": 15082, "sequence_id": 494, "annotations": []}
{"role": "volunteer", "content": "yeah, if you have A piece and you try to", "session_id": 15082, "sequence_id": 495, "annotations": []}
{"role": "volunteer", "content": "uh factor it", "session_id": 15082, "sequence_id": 496, "annotations": []}
{"role": "volunteer", "content": "you would still end up with this kind of A over B and, and sorry B over A and C over A, um.", "session_id": 15082, "sequence_id": 497, "annotations": []}
{"role": "volunteer", "content": "then when you do your substitution for tea.", "session_id": 15082, "sequence_id": 498, "annotations": []}
{"role": "volunteer", "content": "right? And you had this AX term here.", "session_id": 15082, "sequence_id": 499, "annotations": []}
{"role": "volunteer", "content": "then your", "session_id": 15082, "sequence_id": 500, "annotations": []}
{"role": "volunteer", "content": "you, then you'd end up with A times DX equals dT. So you don't have to worry about this 1/8 term again and again.", "session_id": 15082, "sequence_id": 501, "annotations": []}
{"role": "volunteer", "content": "which would, which would result in this", "session_id": 15082, "sequence_id": 502, "annotations": []}
{"role": "volunteer", "content": "but they just find it easier to have", "session_id": 15082, "sequence_id": 503, "annotations": []}
{"role": "volunteer", "content": "um DX equals DT straight up, but you already have this 1/8 term that they factored out. So it, it's, it'd be the same.", "session_id": 15082, "sequence_id": 504, "annotations": []}
{"role": "volunteer", "content": "They just um find it easier to do it.", "session_id": 15082, "sequence_id": 505, "annotations": []}
{"role": "volunteer", "content": "this way", "session_id": 15082, "sequence_id": 506, "annotations": []}
{"role": "volunteer", "content": "or they just prefer, I'm not sorry, not easy, they prefer to do it this way.", "session_id": 15082, "sequence_id": 507, "annotations": []}
{"role": "volunteer", "content": "So they're already accounting for this one over a term.", "session_id": 15082, "sequence_id": 508, "annotations": []}
{"role": "student", "content": "yeah, right", "session_id": 15082, "sequence_id": 509, "annotations": []}
{"role": "volunteer", "content": "Yeah, and the method they used here was completing the squares.", "session_id": 15082, "sequence_id": 510, "annotations": []}
{"role": "volunteer", "content": "not like um", "session_id": 15082, "sequence_id": 511, "annotations": []}
{"role": "volunteer", "content": "the chapter we're on, which they don't use completing the squares, they prefer", "session_id": 15082, "sequence_id": 512, "annotations": []}
{"role": "volunteer", "content": "having two separate terms, two separate expressions.", "session_id": 15082, "sequence_id": 513, "annotations": []}
{"role": "volunteer", "content": "right? X minus A, X minus B.", "session_id": 15082, "sequence_id": 514, "annotations": []}
{"role": "volunteer", "content": "So that's another difference", "session_id": 15082, "sequence_id": 515, "annotations": []}
{"role": "student", "content": "this also kinda easy too", "session_id": 15082, "sequence_id": 516, "annotations": []}
{"role": "volunteer", "content": "I mean", "session_id": 15082, "sequence_id": 517, "annotations": []}
{"role": "volunteer", "content": "don't speak too soon", "session_id": 15082, "sequence_id": 518, "annotations": []}
{"role": "volunteer", "content": "All right. You haven't, we haven't really done many problems.", "session_id": 15082, "sequence_id": 519, "annotations": []}
{"role": "volunteer", "content": "But the methodology, I guess, is simpler. You don't have to carry about the", "session_id": 15082, "sequence_id": 520, "annotations": []}
{"role": "volunteer", "content": "um substitution method", "session_id": 15082, "sequence_id": 521, "annotations": []}
{"role": "student", "content": "yeah,", "session_id": 15082, "sequence_id": 522, "annotations": []}
{"role": "volunteer", "content": "So that is, but that is a little easier, but you do have to do more, um, yeah, I guess you don't have to think as much.", "session_id": 15082, "sequence_id": 523, "annotations": []}
{"role": "volunteer", "content": "But you do have to do more um", "session_id": 15082, "sequence_id": 524, "annotations": []}
{"role": "volunteer", "content": "computations", "session_id": 15082, "sequence_id": 525, "annotations": []}
{"role": "student", "content": "right", "session_id": 15082, "sequence_id": 526, "annotations": []}
{"role": "volunteer", "content": "You know, I'm trying to think of", "session_id": 15082, "sequence_id": 527, "annotations": []}
{"role": "volunteer", "content": "what would you say, knowing what you know now, what would you say", "session_id": 15082, "sequence_id": 528, "annotations": []}
{"role": "volunteer", "content": "is the difference or hm how do I say this?", "session_id": 15082, "sequence_id": 529, "annotations": []}
{"role": "volunteer", "content": "or how do I ask this", "session_id": 15082, "sequence_id": 530, "annotations": []}
{"role": "volunteer", "content": "No, I guess, I just be kind of, what kind of summary would you say between these two methods? Like what's the purpose of substitution method.", "session_id": 15082, "sequence_id": 531, "annotations": []}
{"role": "volunteer", "content": "Um, what's the purpose of", "session_id": 15082, "sequence_id": 532, "annotations": []}
{"role": "volunteer", "content": "the partial fraction decomposition.", "session_id": 15082, "sequence_id": 533, "annotations": []}
{"role": "volunteer", "content": "you know, why are um", "session_id": 15082, "sequence_id": 534, "annotations": []}
{"role": "volunteer", "content": "why do we need them", "session_id": 15082, "sequence_id": 535, "annotations": []}
{"role": "volunteer", "content": "What's the", "session_id": 15082, "sequence_id": 536, "annotations": []}
{"role": "volunteer", "content": "the purpose of the methodology.", "session_id": 15082, "sequence_id": 537, "annotations": []}
{"role": "volunteer", "content": "I know it's kind of a loaded question.", "session_id": 15082, "sequence_id": 538, "annotations": []}
{"role": "volunteer", "content": "but I just kind of want you thinking like", "session_id": 15082, "sequence_id": 539, "annotations": []}
{"role": "volunteer", "content": "you know, what's, you know, why are we even bothering?", "session_id": 15082, "sequence_id": 540, "annotations": []}
{"role": "student", "content": "for every method we discussed", "session_id": 15082, "sequence_id": 541, "annotations": []}
{"role": "volunteer", "content": "And why are we using these methods versus some other", "session_id": 15082, "sequence_id": 542, "annotations": []}
{"role": "volunteer", "content": "imaginary method that we haven't thought of.", "session_id": 15082, "sequence_id": 543, "annotations": []}
{"role": "volunteer", "content": "Maybe not for every method we discuss, just kind of in general.", "session_id": 15082, "sequence_id": 544, "annotations": []}
{"role": "volunteer", "content": "I just wanted to kind of have you conceptualize and crystallize", "session_id": 15082, "sequence_id": 545, "annotations": []}
{"role": "volunteer", "content": "your thought processes regarding these um", "session_id": 15082, "sequence_id": 546, "annotations": []}
{"role": "volunteer", "content": "methodologies", "session_id": 15082, "sequence_id": 547, "annotations": []}
{"role": "volunteer", "content": "so that you know kind of like, not only when to use them, but why.", "session_id": 15082, "sequence_id": 548, "annotations": []}
{"role": "volunteer", "content": "and which method", "session_id": 15082, "sequence_id": 549, "annotations": []}
{"role": "volunteer", "content": "you know, over another, cause you may have", "session_id": 15082, "sequence_id": 550, "annotations": []}
{"role": "volunteer", "content": "problems that um", "session_id": 15082, "sequence_id": 551, "annotations": []}
{"role": "volunteer", "content": "kind of overlap", "session_id": 15082, "sequence_id": 552, "annotations": []}
{"role": "volunteer", "content": "and you can use one over the other.", "session_id": 15082, "sequence_id": 553, "annotations": []}
{"role": "volunteer", "content": "And it, it might come down to preference, but you could also have um", "session_id": 15082, "sequence_id": 554, "annotations": []}
{"role": "volunteer", "content": "you know, you want the solution of a certain form.", "session_id": 15082, "sequence_id": 555, "annotations": []}
{"role": "volunteer", "content": "So you would use one over the other and just kind of like when, like why and when would you do that?", "session_id": 15082, "sequence_id": 556, "annotations": []}
{"role": "volunteer", "content": "I know this is a, this is a lot to ask. Um, if you don't feel comfortable answering, just, just kind of be like uh.", "session_id": 15082, "sequence_id": 557, "annotations": []}
{"role": "volunteer", "content": "and just say, you know, because they tell me to, but I just wanted you to um", "session_id": 15082, "sequence_id": 558, "annotations": []}
{"role": "volunteer", "content": "kind of think critically", "session_id": 15082, "sequence_id": 559, "annotations": []}
{"role": "volunteer", "content": "about these methods", "session_id": 15082, "sequence_id": 560, "annotations": []}
{"role": "volunteer", "content": "and, you know, the rationale behind them.", "session_id": 15082, "sequence_id": 561, "annotations": []}
{"role": "student", "content": "okay, lemme think", "session_id": 15082, "sequence_id": 562, "annotations": []}
{"role": "volunteer", "content": "Of course, take all the time you need", "session_id": 15082, "sequence_id": 563, "annotations": []}
{"role": "student", "content": "it depends upon the question. there can be multiple way to solve a prob, i'll go for the shorter one", "session_id": 15082, "sequence_id": 564, "annotations": []}
{"role": "volunteer", "content": "True.", "session_id": 15082, "sequence_id": 565, "annotations": []}
{"role": "volunteer", "content": "It's very pragmatic", "session_id": 15082, "sequence_id": 566, "annotations": []}
{"role": "student", "content": "yeah, i need a quick way for exam.", "session_id": 15082, "sequence_id": 567, "annotations": []}
{"role": "volunteer", "content": "True", "session_id": 15082, "sequence_id": 568, "annotations": []}
{"role": "volunteer", "content": "Right, for your needs, yeah.", "session_id": 15082, "sequence_id": 569, "annotations": []}
{"role": "volunteer", "content": "OK. Well, we got that out the way.", "session_id": 15082, "sequence_id": 570, "annotations": []}
{"role": "volunteer", "content": "So we can move on to", "session_id": 15082, "sequence_id": 571, "annotations": []}
{"role": "volunteer", "content": "for example 12", "session_id": 15082, "sequence_id": 572, "annotations": []}
{"role": "volunteer", "content": "Unless you have more to say", "session_id": 15082, "sequence_id": 573, "annotations": []}
{"role": "student", "content": "that was it? i thought it was like a conceptual like \"why would you\" question", "session_id": 15082, "sequence_id": 574, "annotations": []}
{"role": "volunteer", "content": "I mean", "session_id": 15082, "sequence_id": 575, "annotations": []}
{"role": "volunteer", "content": "it was", "session_id": 15082, "sequence_id": 576, "annotations": []}
{"role": "volunteer", "content": "but then I realized that you're um", "session_id": 15082, "sequence_id": 577, "annotations": []}
{"role": "volunteer", "content": "you're more only doing this because you have to.", "session_id": 15082, "sequence_id": 578, "annotations": []}
{"role": "volunteer", "content": "Um", "session_id": 15082, "sequence_id": 579, "annotations": []}
{"role": "volunteer", "content": "but it was like", "session_id": 15082, "sequence_id": 580, "annotations": []}
{"role": "volunteer", "content": "I was thinking more along the lines of like", "session_id": 15082, "sequence_id": 581, "annotations": []}
{"role": "volunteer", "content": "substitution method.", "session_id": 15082, "sequence_id": 582, "annotations": []}
{"role": "volunteer", "content": "is", "session_id": 15082, "sequence_id": 583, "annotations": []}
{"role": "volunteer", "content": "a way of", "session_id": 15082, "sequence_id": 584, "annotations": []}
{"role": "volunteer", "content": "defining what we don't know.", "session_id": 15082, "sequence_id": 585, "annotations": []}
{"role": "volunteer", "content": "right", "session_id": 15082, "sequence_id": 586, "annotations": []}
{"role": "volunteer", "content": "Where", "session_id": 15082, "sequence_id": 587, "annotations": []}
{"role": "volunteer", "content": "if we see something, if we can redefine it.", "session_id": 15082, "sequence_id": 588, "annotations": []}
{"role": "volunteer", "content": "right, the in a grant, the, the integral, if we can re redefine it as something we know.", "session_id": 15082, "sequence_id": 589, "annotations": []}
{"role": "volunteer", "content": "or an expression we know, then this allows us to", "session_id": 15082, "sequence_id": 590, "annotations": []}
{"role": "volunteer", "content": "work with, work with it", "session_id": 15082, "sequence_id": 591, "annotations": []}
{"role": "volunteer", "content": "because we, we've turned, we've turned unknowns into knowns.", "session_id": 15082, "sequence_id": 592, "annotations": []}
{"role": "volunteer", "content": "right? And it's essentially like", "session_id": 15082, "sequence_id": 593, "annotations": []}
{"role": "volunteer", "content": "dissecting it, dissecting the problem by looking at it, by kind of forcing it through a different lens.", "session_id": 15082, "sequence_id": 594, "annotations": []}
{"role": "volunteer", "content": "and this allows us to work with it.", "session_id": 15082, "sequence_id": 595, "annotations": []}
{"role": "volunteer", "content": "um,", "session_id": 15082, "sequence_id": 596, "annotations": []}
{"role": "volunteer", "content": "where previously it was unworkable.", "session_id": 15082, "sequence_id": 597, "annotations": []}
{"role": "volunteer", "content": "right? But the reason why we're using substitution method is because the, we can't integrate normally.", "session_id": 15082, "sequence_id": 598, "annotations": []}
{"role": "volunteer", "content": "We take in something that's kind of unworkable, and we've turned it into something", "session_id": 15082, "sequence_id": 599, "annotations": []}
{"role": "volunteer", "content": "um", "session_id": 15082, "sequence_id": 600, "annotations": []}
{"role": "volunteer", "content": "just by looking at it differently.", "session_id": 15082, "sequence_id": 601, "annotations": []}
{"role": "volunteer", "content": "rewriting the expression, right, the expression itself hasn't the problem itself hasn't changed. All we're doing is changing how we're looking at it.", "session_id": 15082, "sequence_id": 602, "annotations": []}
{"role": "volunteer", "content": "right? We're redefining the problem.", "session_id": 15082, "sequence_id": 603, "annotations": []}
{"role": "volunteer", "content": "and working it and working it that way.", "session_id": 15082, "sequence_id": 604, "annotations": []}
{"role": "volunteer", "content": "versus um", "session_id": 15082, "sequence_id": 605, "annotations": []}
{"role": "volunteer", "content": "you know, partial fracture decomposition.", "session_id": 15082, "sequence_id": 606, "annotations": []}
{"role": "volunteer", "content": "where", "session_id": 15082, "sequence_id": 607, "annotations": []}
{"role": "volunteer", "content": "you have this expression that you know all about", "session_id": 15082, "sequence_id": 608, "annotations": []}
{"role": "volunteer", "content": "um", "session_id": 15082, "sequence_id": 609, "annotations": []}
{"role": "volunteer", "content": "thanks to all the work we did and uh pre-calc, you know, that there's asintose, there's this, there's that.", "session_id": 15082, "sequence_id": 610, "annotations": []}
{"role": "volunteer", "content": "Um", "session_id": 15082, "sequence_id": 611, "annotations": []}
{"role": "volunteer", "content": "but then, you know, how does that relate to integration, it's like how do you find", "session_id": 15082, "sequence_id": 612, "annotations": []}
{"role": "volunteer", "content": "Now, what does the area under the curve mean and all that. Um, we'll say, well, we can", "session_id": 15082, "sequence_id": 613, "annotations": []}
{"role": "volunteer", "content": "redefine this", "session_id": 15082, "sequence_id": 614, "annotations": []}
{"role": "volunteer", "content": "If we can divide it all out.", "session_id": 15082, "sequence_id": 615, "annotations": []}
{"role": "volunteer", "content": "right? We've taken this", "session_id": 15082, "sequence_id": 616, "annotations": []}
{"role": "volunteer", "content": "proper function. We've taken this function and turned it into like a", "session_id": 15082, "sequence_id": 617, "annotations": []}
{"role": "volunteer", "content": "a proper function", "session_id": 15082, "sequence_id": 618, "annotations": []}
{"role": "volunteer", "content": "right, which seems kind of silly that we, we've done all this in like algebra.", "session_id": 15082, "sequence_id": 619, "annotations": []}
{"role": "volunteer", "content": "and done this sort of", "session_id": 15082, "sequence_id": 620, "annotations": []}
{"role": "volunteer", "content": "silly methodology", "session_id": 15082, "sequence_id": 621, "annotations": []}
{"role": "volunteer", "content": "and we get something that's actually workable.", "session_id": 15082, "sequence_id": 622, "annotations": []}
{"role": "volunteer", "content": "Um, surprisingly, almost.", "session_id": 15082, "sequence_id": 623, "annotations": []}
{"role": "volunteer", "content": "and come out with these, you know,", "session_id": 15082, "sequence_id": 624, "annotations": []}
{"role": "volunteer", "content": "typically we're going to get log results, natural log results.", "session_id": 15082, "sequence_id": 625, "annotations": []}
{"role": "volunteer", "content": "um, which, you know, isn't, it comes out kind of clean sometimes and then you, you're dealing with libra properties. But that's kind of like", "session_id": 15082, "sequence_id": 626, "annotations": []}
{"role": "volunteer", "content": "you know, it's, it's interesting", "session_id": 15082, "sequence_id": 627, "annotations": []}
{"role": "volunteer", "content": "how we, how you can do that cause technically you can", "session_id": 15082, "sequence_id": 628, "annotations": []}
{"role": "volunteer", "content": "go use, if we went back to um", "session_id": 15082, "sequence_id": 629, "annotations": []}
{"role": "volunteer", "content": "the rig identities", "session_id": 15082, "sequence_id": 630, "annotations": []}
{"role": "volunteer", "content": "where are they? Technically we could use substitution method in partial fraction decomposition.", "session_id": 15082, "sequence_id": 631, "annotations": []}
{"role": "volunteer", "content": "um if there's a denominator. Um", "session_id": 15082, "sequence_id": 632, "annotations": []}
{"role": "volunteer", "content": "and solve it that way, you know.", "session_id": 15082, "sequence_id": 633, "annotations": []}
{"role": "volunteer", "content": "And it's not, it's another thing that you can only use", "session_id": 15082, "sequence_id": 634, "annotations": []}
{"role": "volunteer", "content": "partial fashion decomposition when you have um", "session_id": 15082, "sequence_id": 635, "annotations": []}
{"role": "volunteer", "content": "A denominator that is not that simple.", "session_id": 15082, "sequence_id": 636, "annotations": []}
{"role": "student", "content": "numerator", "session_id": 15082, "sequence_id": 637, "annotations": []}
{"role": "volunteer", "content": "right? The deno where the denominator is not just a constant. You actually have an expression as your denominator.", "session_id": 15082, "sequence_id": 638, "annotations": []}
{"role": "volunteer", "content": "Oh man, I got all these eraser crumbs on me.", "session_id": 15082, "sequence_id": 639, "annotations": []}
{"role": "volunteer", "content": "The numerator", "session_id": 15082, "sequence_id": 640, "annotations": []}
{"role": "volunteer", "content": "Well, I mean, partial fraction and composition is when you have", "session_id": 15082, "sequence_id": 641, "annotations": []}
{"role": "volunteer", "content": "an", "session_id": 15082, "sequence_id": 642, "annotations": []}
{"role": "volunteer", "content": "expression in the denominator that is non-constant.", "session_id": 15082, "sequence_id": 643, "annotations": []}
{"role": "volunteer", "content": "right? We actually have", "session_id": 15082, "sequence_id": 644, "annotations": []}
{"role": "volunteer", "content": "X terms or cosine terms that just that uh polynomial of the degree than one.", "session_id": 15082, "sequence_id": 645, "annotations": []}
{"role": "volunteer", "content": "which you technically do for", "session_id": 15082, "sequence_id": 646, "annotations": []}
{"role": "volunteer", "content": "trig functions as well. Say you have tangent or something.", "session_id": 15082, "sequence_id": 647, "annotations": []}
{"role": "volunteer", "content": "but that's not", "session_id": 15082, "sequence_id": 648, "annotations": []}
{"role": "volunteer", "content": "a whole expression.", "session_id": 15082, "sequence_id": 649, "annotations": []}
{"role": "volunteer", "content": "Where is the trigger identities?", "session_id": 15082, "sequence_id": 650, "annotations": []}
{"role": "volunteer", "content": "I am just", "session_id": 15082, "sequence_id": 651, "annotations": []}
{"role": "volunteer", "content": "I'm lost", "session_id": 15082, "sequence_id": 652, "annotations": []}
{"role": "volunteer", "content": "at sea. Yeah, I think we're passed it.", "session_id": 15082, "sequence_id": 653, "annotations": []}
{"role": "volunteer", "content": "I think it was 7.3.", "session_id": 15082, "sequence_id": 654, "annotations": []}
{"role": "volunteer", "content": "Yeah, I think it was 7.3 immigration by substitution. Oh, substitution.", "session_id": 15082, "sequence_id": 655, "annotations": []}
{"role": "volunteer", "content": "uh", "session_id": 15082, "sequence_id": 656, "annotations": []}
{"role": "volunteer", "content": "true identities", "session_id": 15082, "sequence_id": 657, "annotations": []}
{"role": "student", "content": "after 7.3 i guess", "session_id": 15082, "sequence_id": 658, "annotations": []}
{"role": "volunteer", "content": "Right, cause you could, you could solve this.", "session_id": 15082, "sequence_id": 659, "annotations": []}
{"role": "volunteer", "content": "Um, it is 7.3.2, right? Cause there's problems you can solve just using substitution, right? Same thing here, substitution, um, kind of substitution.", "session_id": 15082, "sequence_id": 660, "annotations": []}
{"role": "volunteer", "content": "actually won't be as clean.", "session_id": 15082, "sequence_id": 661, "annotations": []}
{"role": "volunteer", "content": "But they're all just", "session_id": 15082, "sequence_id": 662, "annotations": []}
{"role": "volunteer", "content": "ways of", "session_id": 15082, "sequence_id": 663, "annotations": []}
{"role": "volunteer", "content": "defining the undefined.", "session_id": 15082, "sequence_id": 664, "annotations": []}
{"role": "volunteer", "content": "which actually let me not use undefined because that", "session_id": 15082, "sequence_id": 665, "annotations": []}
{"role": "volunteer", "content": "assumes that", "session_id": 15082, "sequence_id": 666, "annotations": []}
{"role": "volunteer", "content": "in math terms, that's like infinity, you're dividing by zero or something. It's, it's a way of kind of grasping at the unknown.", "session_id": 15082, "sequence_id": 667, "annotations": []}
{"role": "volunteer", "content": "right? We're just like, we have this object, um, it looks like other objects.", "session_id": 15082, "sequence_id": 668, "annotations": []}
{"role": "volunteer", "content": "um, and we can make it look like other objects if we kind of", "session_id": 15082, "sequence_id": 669, "annotations": []}
{"role": "volunteer", "content": "work it, if we look at it a certain way or we handle it a certain way or like a Rubik's cube you can kind of play with it a certain way.", "session_id": 15082, "sequence_id": 670, "annotations": []}
{"role": "volunteer", "content": "Um, and then using", "session_id": 15082, "sequence_id": 671, "annotations": []}
{"role": "volunteer", "content": "these tactics", "session_id": 15082, "sequence_id": 672, "annotations": []}
{"role": "volunteer", "content": "substitution method, um, you know, trig methods, trick identities.", "session_id": 15082, "sequence_id": 673, "annotations": []}
{"role": "volunteer", "content": "partial fraction decomposition.", "session_id": 15082, "sequence_id": 674, "annotations": []}
{"role": "volunteer", "content": "then we can", "session_id": 15082, "sequence_id": 675, "annotations": []}
{"role": "volunteer", "content": "solve them. They're basically algorithms.", "session_id": 15082, "sequence_id": 676, "annotations": []}
{"role": "volunteer", "content": "Actually, they are algorithms. They're just methods.", "session_id": 15082, "sequence_id": 677, "annotations": []}
{"role": "student", "content": "right", "session_id": 15082, "sequence_id": 678, "annotations": []}
{"role": "volunteer", "content": "right? Um", "session_id": 15082, "sequence_id": 679, "annotations": []}
{"role": "volunteer", "content": "OK. Well, that's", "session_id": 15082, "sequence_id": 680, "annotations": []}
{"role": "volunteer", "content": "are you, do you have any more questions on that topic or anything you wanna", "session_id": 15082, "sequence_id": 681, "annotations": []}
{"role": "volunteer", "content": "consider", "session_id": 15082, "sequence_id": 682, "annotations": []}
{"role": "volunteer", "content": "before we move on", "session_id": 15082, "sequence_id": 683, "annotations": []}
{"role": "volunteer", "content": "Sorry if I got all of a sudden, so", "session_id": 15082, "sequence_id": 684, "annotations": []}
{"role": "volunteer", "content": "not philosophical, but", "session_id": 15082, "sequence_id": 685, "annotations": []}
{"role": "student", "content": "no, i don't any questions right now.", "session_id": 15082, "sequence_id": 686, "annotations": []}
{"role": "student", "content": "It was mathematically conceptual.", "session_id": 15082, "sequence_id": 687, "annotations": []}
{"role": "student", "content": "i guess, idk", "session_id": 15082, "sequence_id": 688, "annotations": []}
{"role": "volunteer", "content": "I mean, think about it. What is, what, what is an integral?", "session_id": 15082, "sequence_id": 689, "annotations": []}
{"role": "volunteer", "content": "um", "session_id": 15082, "sequence_id": 690, "annotations": []}
{"role": "volunteer", "content": "kind of crudely, it's like the area under the curve.", "session_id": 15082, "sequence_id": 691, "annotations": []}
{"role": "volunteer", "content": "right.", "session_id": 15082, "sequence_id": 692, "annotations": []}
{"role": "volunteer", "content": "Um, but what does that mean?", "session_id": 15082, "sequence_id": 693, "annotations": []}
{"role": "volunteer", "content": "It's", "session_id": 15082, "sequence_id": 694, "annotations": []}
{"role": "volunteer", "content": "I like to think of it as um integration as increasing dimensions.", "session_id": 15082, "sequence_id": 695, "annotations": []}
{"role": "volunteer", "content": "where if you have", "session_id": 15082, "sequence_id": 696, "annotations": []}
{"role": "volunteer", "content": "a length and you integrate it", "session_id": 15082, "sequence_id": 697, "annotations": []}
{"role": "volunteer", "content": "it becomes an area. If you have an area, you integrate it, it becomes volume.", "session_id": 15082, "sequence_id": 698, "annotations": []}
{"role": "volunteer", "content": "Um", "session_id": 15082, "sequence_id": 699, "annotations": []}
{"role": "volunteer", "content": "and then", "session_id": 15082, "sequence_id": 700, "annotations": []}
{"role": "volunteer", "content": "I don't know what the fourth dimensional form of volume is", "session_id": 15082, "sequence_id": 701, "annotations": []}
{"role": "volunteer", "content": "the same thing for like acceleration, the velocity you're kind of adding these", "session_id": 15082, "sequence_id": 702, "annotations": []}
{"role": "volunteer", "content": "dimensions", "session_id": 15082, "sequence_id": 703, "annotations": []}
{"role": "volunteer", "content": "and for derivatives, it's the opposite. You're kind of taking away dimensions with like what if you consider it with respect to", "session_id": 15082, "sequence_id": 704, "annotations": []}
{"role": "volunteer", "content": "time and then space and", "session_id": 15082, "sequence_id": 705, "annotations": []}
{"role": "volunteer", "content": "you know, how do you", "session_id": 15082, "sequence_id": 706, "annotations": []}
{"role": "volunteer", "content": "use these", "session_id": 15082, "sequence_id": 707, "annotations": []}
{"role": "volunteer", "content": "their tools, but you're just kind of, you're, you're kind of changing", "session_id": 15082, "sequence_id": 708, "annotations": []}
{"role": "volunteer", "content": "time and space as you use them, because really all you have to integrate with this time and space, or you could have units, you could have um", "session_id": 15082, "sequence_id": 709, "annotations": []}
{"role": "volunteer", "content": "different, different things, but now you're adding these", "session_id": 15082, "sequence_id": 710, "annotations": []}
{"role": "volunteer", "content": "um characteristics, sort of kind of getting meta with it when you have these real world applications.", "session_id": 15082, "sequence_id": 711, "annotations": []}
{"role": "volunteer", "content": "and these, these methodologies substitution and everything.", "session_id": 15082, "sequence_id": 712, "annotations": []}
{"role": "volunteer", "content": "are", "session_id": 15082, "sequence_id": 713, "annotations": []}
{"role": "volunteer", "content": "kind of", "session_id": 15082, "sequence_id": 714, "annotations": []}
{"role": "volunteer", "content": "keys to unlocking these dimensions.", "session_id": 15082, "sequence_id": 715, "annotations": []}
{"role": "volunteer", "content": "I think I can end on that. That was cool.", "session_id": 15082, "sequence_id": 716, "annotations": []}
{"role": "student", "content": "i saw 4d in dr strange", "session_id": 15082, "sequence_id": 717, "annotations": []}
{"role": "volunteer", "content": "Did you really", "session_id": 15082, "sequence_id": 718, "annotations": []}
{"role": "volunteer", "content": "The movie or", "session_id": 15082, "sequence_id": 719, "annotations": []}
{"role": "volunteer", "content": "I think, was there a show for Doctor Strange?", "session_id": 15082, "sequence_id": 720, "annotations": []}
{"role": "student", "content": "movie", "session_id": 15082, "sequence_id": 721, "annotations": []}
{"role": "volunteer", "content": "Invented to Cumbretch is a movie actor, not a", "session_id": 15082, "sequence_id": 722, "annotations": []}
{"role": "student", "content": "marvel", "session_id": 15082, "sequence_id": 723, "annotations": []}
{"role": "volunteer", "content": "TV. Well, I guess he did do, yeah, yeah, he did do a show.", "session_id": 15082, "sequence_id": 724, "annotations": []}
{"role": "volunteer", "content": "um Sherlock", "session_id": 15082, "sequence_id": 725, "annotations": []}
{"role": "volunteer", "content": "which I highly recommend. Great show.", "session_id": 15082, "sequence_id": 726, "annotations": []}
{"role": "volunteer", "content": "with Sherlock with candidate Benedict was great.", "session_id": 15082, "sequence_id": 727, "annotations": [{"pii_type": "PERSON", "surrogate": "Benedict", "start": 29, "end": 37}]}
{"role": "student", "content": "sherlock homles?", "session_id": 15082, "sequence_id": 728, "annotations": []}
{"role": "volunteer", "content": "though strap in because", "session_id": 15082, "sequence_id": 729, "annotations": []}
{"role": "volunteer", "content": "it's they", "session_id": 15082, "sequence_id": 730, "annotations": []}
{"role": "volunteer", "content": "each episode is like an hour and a half. Each episode is a movie in itself.", "session_id": 15082, "sequence_id": 731, "annotations": []}
{"role": "volunteer", "content": "but it is good.", "session_id": 15082, "sequence_id": 732, "annotations": []}
{"role": "volunteer", "content": "Yes, Sherlock Holmes", "session_id": 15082, "sequence_id": 733, "annotations": []}
{"role": "volunteer", "content": "I think it's just called Sherlock, the show.", "session_id": 15082, "sequence_id": 734, "annotations": []}
{"role": "volunteer", "content": "It was on Netflix, I don't know where it is now.", "session_id": 15082, "sequence_id": 735, "annotations": []}
{"role": "volunteer", "content": "originally streamed on Netflix", "session_id": 15082, "sequence_id": 736, "annotations": []}
{"role": "student", "content": "ohh, i'll check it out. i had a book of sherlock homles", "session_id": 15082, "sequence_id": 737, "annotations": []}
{"role": "volunteer", "content": "Did you really", "session_id": 15082, "sequence_id": 738, "annotations": []}
{"role": "volunteer", "content": "With Moriarty and", "session_id": 15082, "sequence_id": 739, "annotations": [{"pii_type": "PERSON", "surrogate": "Moriarty", "start": 5, "end": 13}]}
{"role": "volunteer", "content": "I can't there he had other nemesis", "session_id": 15082, "sequence_id": 740, "annotations": []}
{"role": "volunteer", "content": "the villains, but I think Moriarty was like his main nemesis.", "session_id": 15082, "sequence_id": 741, "annotations": [{"pii_type": "PERSON", "surrogate": "Moriarty", "start": 26, "end": 34}]}
{"role": "volunteer", "content": "And then you have the offshoots with um", "session_id": 15082, "sequence_id": 742, "annotations": []}
{"role": "volunteer", "content": "Eurus, the sister", "session_id": 15082, "sequence_id": 743, "annotations": [{"pii_type": "PERSON", "surrogate": "Eurus", "start": 0, "end": 5}]}
{"role": "volunteer", "content": "and the brother, they actually have the brother in the show.", "session_id": 15082, "sequence_id": 744, "annotations": []}
{"role": "volunteer", "content": "the older brother", "session_id": 15082, "sequence_id": 745, "annotations": []}
{"role": "volunteer", "content": "Well they have a tumultuous relationship.", "session_id": 15082, "sequence_id": 746, "annotations": []}
{"role": "student", "content": "i tried to read, couldn't finish it", "session_id": 15082, "sequence_id": 747, "annotations": []}
{"role": "volunteer", "content": "I'm pretty sure the", "session_id": 15082, "sequence_id": 748, "annotations": []}
{"role": "volunteer", "content": "girl from Stranger Things did Enola.", "session_id": 15082, "sequence_id": 749, "annotations": [{"pii_type": "PERSON", "surrogate": "Enola", "start": 30, "end": 35}]}
{"role": "volunteer", "content": "Yeah, I", "session_id": 15082, "sequence_id": 750, "annotations": []}
{"role": "volunteer", "content": "I'm imagine that the tough read.", "session_id": 15082, "sequence_id": 751, "annotations": []}
{"role": "volunteer", "content": "though I'm sure it's engaging once you get", "session_id": 15082, "sequence_id": 752, "annotations": []}
{"role": "volunteer", "content": "to a certain point", "session_id": 15082, "sequence_id": 753, "annotations": []}
{"role": "volunteer", "content": "That's how I found Lord of the Rings. It was, man, it was a tough to read, but then once you get past a certain point, it just, oh.", "session_id": 15082, "sequence_id": 754, "annotations": []}
{"role": "volunteer", "content": "gets exciting", "session_id": 15082, "sequence_id": 755, "annotations": []}
{"role": "student", "content": "ohh lord rings, is hard to watch. i can't imagine read it. but that's great, you did it", "session_id": 15082, "sequence_id": 756, "annotations": []}
{"role": "volunteer", "content": "Was it really hard to watch what's so difficult about it.", "session_id": 15082, "sequence_id": 757, "annotations": []}
{"role": "volunteer", "content": "Um", "session_id": 15082, "sequence_id": 758, "annotations": []}
{"role": "student", "content": "it was 4hrs long!!", "session_id": 15082, "sequence_id": 759, "annotations": []}
{"role": "volunteer", "content": "Yes, yes, it is.", "session_id": 15082, "sequence_id": 760, "annotations": []}
{"role": "volunteer", "content": "I mean, it's more like 3 something, but yes.", "session_id": 15082, "sequence_id": 761, "annotations": []}
{"role": "volunteer", "content": "That's because they've condensed so much.", "session_id": 15082, "sequence_id": 762, "annotations": []}
{"role": "volunteer", "content": "your", "session_id": 15082, "sequence_id": 763, "annotations": []}
{"role": "volunteer", "content": "chronicling", "session_id": 15082, "sequence_id": 764, "annotations": []}
{"role": "volunteer", "content": "a massive story arc like that it's an era, you're chronicling.", "session_id": 15082, "sequence_id": 765, "annotations": []}
{"role": "volunteer", "content": "I mean, imagine", "session_id": 15082, "sequence_id": 766, "annotations": []}
{"role": "volunteer", "content": "trying to condense an era into", "session_id": 15082, "sequence_id": 767, "annotations": []}
{"role": "volunteer", "content": "10 hours", "session_id": 15082, "sequence_id": 768, "annotations": []}
{"role": "volunteer", "content": "A grand adventure.", "session_id": 15082, "sequence_id": 769, "annotations": []}
{"role": "volunteer", "content": "with kind of a massive cast.", "session_id": 15082, "sequence_id": 770, "annotations": []}
{"role": "volunteer", "content": "I mean, imagine if Star Wars was a book.", "session_id": 15082, "sequence_id": 771, "annotations": []}
{"role": "volunteer", "content": "was a series of books, right?", "session_id": 15082, "sequence_id": 772, "annotations": []}
{"role": "volunteer", "content": "be massive", "session_id": 15082, "sequence_id": 773, "annotations": []}
{"role": "volunteer", "content": "I mean, Silmarillion itself, there's a lot of", "session_id": 15082, "sequence_id": 774, "annotations": [{"pii_type": "PERSON", "surrogate": "Silmarillion", "start": 8, "end": 20}]}
{"role": "student", "content": "right, i don't mind watching lond movie series. but i don't have much interst in history", "session_id": 15082, "sequence_id": 775, "annotations": []}
{"role": "volunteer", "content": "examples that the books can go into", "session_id": 15082, "sequence_id": 776, "annotations": []}
{"role": "student", "content": "long**", "session_id": 15082, "sequence_id": 777, "annotations": []}
{"role": "volunteer", "content": "uh history, which is more um", "session_id": 15082, "sequence_id": 778, "annotations": []}
{"role": "volunteer", "content": "you know, speaking of books, it's more the lore.", "session_id": 15082, "sequence_id": 779, "annotations": []}
{"role": "volunteer", "content": "The lore is kind of the history and the world building.", "session_id": 15082, "sequence_id": 780, "annotations": []}
{"role": "volunteer", "content": "which kind of, which gives it substance.", "session_id": 15082, "sequence_id": 781, "annotations": []}
{"role": "volunteer", "content": "and gives meaning", "session_id": 15082, "sequence_id": 782, "annotations": []}
{"role": "volunteer", "content": "right? Now, instead of watching just a character", "session_id": 15082, "sequence_id": 783, "annotations": []}
{"role": "volunteer", "content": "do something", "session_id": 15082, "sequence_id": 784, "annotations": []}
{"role": "volunteer", "content": "you have more of the background of the character and now what they're doing has more meaning.", "session_id": 15082, "sequence_id": 785, "annotations": []}
{"role": "volunteer", "content": "because now you have this, instead of a character, just kind of picking up a flower and then just tossing it aside. Now you have this forlorn character who's", "session_id": 15082, "sequence_id": 786, "annotations": []}
{"role": "volunteer", "content": "been beriddled by loss and", "session_id": 15082, "sequence_id": 787, "annotations": []}
{"role": "volunteer", "content": "detachment and more loss cause you just can't seem to stop attaching themselves to others and searching for", "session_id": 15082, "sequence_id": 788, "annotations": []}
{"role": "volunteer", "content": "companionship in life and", "session_id": 15082, "sequence_id": 789, "annotations": []}
{"role": "volunteer", "content": "losing it because either he's bad luck or he just", "session_id": 15082, "sequence_id": 790, "annotations": []}
{"role": "volunteer", "content": "keeps attaching to characters that are soon to be lost.", "session_id": 15082, "sequence_id": 791, "annotations": []}
{"role": "volunteer", "content": "and finds this flower", "session_id": 15082, "sequence_id": 792, "annotations": []}
{"role": "volunteer", "content": "that reminds him of his mother.", "session_id": 15082, "sequence_id": 793, "annotations": []}
{"role": "volunteer", "content": "and to see it tossed aside.", "session_id": 15082, "sequence_id": 794, "annotations": []}
{"role": "volunteer", "content": "as a way of forgetting his own history.", "session_id": 15082, "sequence_id": 795, "annotations": []}
{"role": "volunteer", "content": "Right now you've added gravitas to the scene, just by adding this lore, his background story", "session_id": 15082, "sequence_id": 796, "annotations": []}
{"role": "volunteer", "content": "Anyway, that's", "session_id": 15082, "sequence_id": 797, "annotations": []}
{"role": "volunteer", "content": "the arts", "session_id": 15082, "sequence_id": 798, "annotations": []}
{"role": "student", "content": "yeah, that kind of history is interesting.", "session_id": 15082, "sequence_id": 799, "annotations": []}
{"role": "volunteer", "content": "But Lord of the Rings has a lot of um", "session_id": 15082, "sequence_id": 800, "annotations": []}
{"role": "volunteer", "content": "a lot of lore. It has its own collection of books that are just", "session_id": 15082, "sequence_id": 801, "annotations": []}
{"role": "volunteer", "content": "giving", "session_id": 15082, "sequence_id": 802, "annotations": []}
{"role": "volunteer", "content": "the lore, the background, the world.", "session_id": 15082, "sequence_id": 803, "annotations": []}
{"role": "volunteer", "content": "because the Lord of the Rings itself is only covering", "session_id": 15082, "sequence_id": 804, "annotations": []}
{"role": "volunteer", "content": "um", "session_id": 15082, "sequence_id": 805, "annotations": []}
{"role": "volunteer", "content": "I forget what the name of the age is. I don't know if it's a dark age or the middle age.", "session_id": 15082, "sequence_id": 806, "annotations": []}
{"role": "volunteer", "content": "because I know Valinor is", "session_id": 15082, "sequence_id": 807, "annotations": [{"pii_type": "LOCATION", "surrogate": "Valinor", "start": 15, "end": 22}]}
{"role": "volunteer", "content": "Anyway, but there's more background, there's the whole story of how Morgoth came to be when we originally this um", "session_id": 15082, "sequence_id": 808, "annotations": [{"pii_type": "PERSON", "surrogate": "Morgoth", "start": 68, "end": 75}]}
{"role": "volunteer", "content": "advisor to this corrupt king, not this evil king who was also creating an empire of evil, um, but then that king was defeated in Sauron created, like, how they created the orcs, which were defiled elves and", "session_id": 15082, "sequence_id": 809, "annotations": [{"pii_type": "PERSON", "surrogate": "Sauron", "start": 129, "end": 135}]}
{"role": "volunteer", "content": "um elves were these like sort of immortal beings that were among the people and", "session_id": 15082, "sequence_id": 810, "annotations": []}
{"role": "volunteer", "content": "the corrupt king was actually amassing the um", "session_id": 15082, "sequence_id": 811, "annotations": []}
{"role": "volunteer", "content": "all the humans together became king of the humans to attack the elves, and there was this great standoff. Then you have the dwarves and there's dragons and", "session_id": 15082, "sequence_id": 812, "annotations": []}
{"role": "volunteer", "content": "there's a lot going on", "session_id": 15082, "sequence_id": 813, "annotations": []}
{"role": "volunteer", "content": "Dragon trolls and", "session_id": 15082, "sequence_id": 814, "annotations": []}
{"role": "volunteer", "content": "Anyway, that's", "session_id": 15082, "sequence_id": 815, "annotations": []}
{"role": "volunteer", "content": "that's geek, that's nerd talk.", "session_id": 15082, "sequence_id": 816, "annotations": []}
{"role": "student", "content": "yeah right", "session_id": 15082, "sequence_id": 817, "annotations": []}
{"role": "volunteer", "content": "with me geeking out over.", "session_id": 15082, "sequence_id": 818, "annotations": []}
{"role": "volunteer", "content": "Um", "session_id": 15082, "sequence_id": 819, "annotations": []}
{"role": "volunteer", "content": "anyway, Sherlock is a good show to get back to originally, and then we can work on for example 12.", "session_id": 15082, "sequence_id": 820, "annotations": [{"pii_type": "PERSON", "surrogate": "Sherlock", "start": 8, "end": 16}]}
{"role": "student", "content": "okay", "session_id": 15082, "sequence_id": 821, "annotations": []}
{"role": "volunteer", "content": "Sorry. I noticed you've lost interest about 20 minutes ago. I didn't mean to go into that long.", "session_id": 15082, "sequence_id": 822, "annotations": []}
{"role": "volunteer", "content": "tirade", "session_id": 15082, "sequence_id": 823, "annotations": []}
{"role": "volunteer", "content": "Um, all right. So, example 12. Now we have um", "session_id": 15082, "sequence_id": 824, "annotations": []}
{"role": "volunteer", "content": "an improper fraction", "session_id": 15082, "sequence_id": 825, "annotations": []}
{"role": "student", "content": "yes", "session_id": 15082, "sequence_id": 826, "annotations": []}
{"role": "student", "content": "i solve it?", "session_id": 15082, "sequence_id": 827, "annotations": []}
{"role": "volunteer", "content": "Yes, you solve it.", "session_id": 15082, "sequence_id": 828, "annotations": []}
{"role": "volunteer", "content": "I feel like that's the best way to do um", "session_id": 15082, "sequence_id": 829, "annotations": []}
{"role": "volunteer", "content": "the example problems because we actually have a solution and have it all written out. I think it's best that you kind of practice it on your own.", "session_id": 15082, "sequence_id": 830, "annotations": []}
{"role": "volunteer", "content": "And then we can compare", "session_id": 15082, "sequence_id": 831, "annotations": []}
{"role": "volunteer", "content": "the methodology", "session_id": 15082, "sequence_id": 832, "annotations": []}
{"role": "student", "content": "okay, on it", "session_id": 15082, "sequence_id": 833, "annotations": []}
{"role": "volunteer", "content": "Don't forget I have the table on the board.", "session_id": 15082, "sequence_id": 834, "annotations": []}
{"role": "volunteer", "content": "So if you want to minimize the, if you want to minimize my screen to look at it.", "session_id": 15082, "sequence_id": 835, "annotations": []}
{"role": "student", "content": "yes, i m looking at it", "session_id": 15082, "sequence_id": 836, "annotations": []}
{"role": "volunteer", "content": "Oh", "session_id": 15082, "sequence_id": 837, "annotations": []}
{"role": "student", "content": "done", "session_id": 15082, "sequence_id": 838, "annotations": []}
{"role": "volunteer", "content": "All right, let's confirm.", "session_id": 15082, "sequence_id": 839, "annotations": []}
{"role": "volunteer", "content": "Did you get", "session_id": 15082, "sequence_id": 840, "annotations": []}
{"role": "volunteer", "content": "X minus 5 log.", "session_id": 15082, "sequence_id": 841, "annotations": []}
{"role": "volunteer", "content": "X minus 2 + 10 logx minus 3 natural long, of course.", "session_id": 15082, "sequence_id": 842, "annotations": []}
{"role": "student", "content": "oh no, i didn't", "session_id": 15082, "sequence_id": 843, "annotations": []}
{"role": "student", "content": "i didn't change in proper frac", "session_id": 15082, "sequence_id": 844, "annotations": []}
{"role": "volunteer", "content": "Oh, you just try to do", "session_id": 15082, "sequence_id": 845, "annotations": []}
{"role": "volunteer", "content": "straight", "session_id": 15082, "sequence_id": 846, "annotations": []}
{"role": "volunteer", "content": "X^2 + 1, try to integrate that straight.", "session_id": 15082, "sequence_id": 847, "annotations": []}
{"role": "volunteer", "content": "What did you use as", "session_id": 15082, "sequence_id": 848, "annotations": []}
{"role": "volunteer", "content": "your substitution", "session_id": 15082, "sequence_id": 849, "annotations": []}
{"role": "volunteer", "content": "or your parameter", "session_id": 15082, "sequence_id": 850, "annotations": []}
{"role": "volunteer", "content": "So that's what I was curious about", "session_id": 15082, "sequence_id": 851, "annotations": []}
{"role": "student", "content": "i directly did like last question. i did it wrong way", "session_id": 15082, "sequence_id": 852, "annotations": []}
{"role": "volunteer", "content": "Hm", "session_id": 15082, "sequence_id": 853, "annotations": []}
{"role": "volunteer", "content": "Uh, you tried to find A and B immediately.", "session_id": 15082, "sequence_id": 854, "annotations": []}
{"role": "volunteer", "content": "which you would have to do.", "session_id": 15082, "sequence_id": 855, "annotations": []}
{"role": "volunteer", "content": "A + B + C. We had to have a a C term", "session_id": 15082, "sequence_id": 856, "annotations": []}
{"role": "volunteer", "content": "cause you'd have", "session_id": 15082, "sequence_id": 857, "annotations": []}
{"role": "volunteer", "content": "you have 3 equations, right? You got", "session_id": 15082, "sequence_id": 858, "annotations": []}
{"role": "volunteer", "content": "an X^2 term, an X term and a 1 term, which doesn't really work out. And this is um", "session_id": 15082, "sequence_id": 859, "annotations": []}
{"role": "volunteer", "content": "well, when we started this morning, this is what, what I", "session_id": 15082, "sequence_id": 860, "annotations": []}
{"role": "volunteer", "content": "I was doing problems from the exercises. And there was one of them that had", "session_id": 15082, "sequence_id": 861, "annotations": []}
{"role": "volunteer", "content": "um an improper fraction like this, and I was getting stuck the same way you are.", "session_id": 15082, "sequence_id": 862, "annotations": []}
{"role": "volunteer", "content": "It wasn't until that we were reading the", "session_id": 15082, "sequence_id": 863, "annotations": []}
{"role": "volunteer", "content": "the theory that I realized why it has to be an improper fraction to use this method.", "session_id": 15082, "sequence_id": 864, "annotations": []}
{"role": "volunteer", "content": "And that we can't really", "session_id": 15082, "sequence_id": 865, "annotations": []}
{"role": "volunteer", "content": "figure out straight, like it gets more complicated, we try to just keep using substitution method to solve these kinds of", "session_id": 15082, "sequence_id": 866, "annotations": []}
{"role": "volunteer", "content": "uh improper functions.", "session_id": 15082, "sequence_id": 867, "annotations": []}
{"role": "volunteer", "content": "Anyway, um,", "session_id": 15082, "sequence_id": 868, "annotations": []}
{"role": "volunteer", "content": "I mean, you can do it the other way, but I'd recommend using", "session_id": 15082, "sequence_id": 869, "annotations": []}
{"role": "volunteer", "content": "the methodology they give cause that's what we're here to practice.", "session_id": 15082, "sequence_id": 870, "annotations": []}
{"role": "student", "content": "we can't use substitution here, bcuz how?", "session_id": 15082, "sequence_id": 871, "annotations": []}
{"role": "volunteer", "content": "You could also use your method too to practice that. But right now they're just kind of they didn't want you to practice using this methodology.", "session_id": 15082, "sequence_id": 872, "annotations": []}
{"role": "volunteer", "content": "because how we can't use substitution? Well, here's a question if we use substitution", "session_id": 15082, "sequence_id": 873, "annotations": []}
{"role": "volunteer", "content": "what would we use", "session_id": 15082, "sequence_id": 874, "annotations": []}
{"role": "volunteer", "content": "right? Because the numerator can't be", "session_id": 15082, "sequence_id": 875, "annotations": []}
{"role": "volunteer", "content": "um", "session_id": 15082, "sequence_id": 876, "annotations": []}
{"role": "volunteer", "content": "reduced any further", "session_id": 15082, "sequence_id": 877, "annotations": []}
{"role": "volunteer", "content": "The denominator can be reduced to two expressions", "session_id": 15082, "sequence_id": 878, "annotations": []}
{"role": "volunteer", "content": "and say you set T is equal to", "session_id": 15082, "sequence_id": 879, "annotations": []}
{"role": "volunteer", "content": "one of the expressions", "session_id": 15082, "sequence_id": 880, "annotations": []}
{"role": "volunteer", "content": "and you rewrote the numerator, you would still have an improper fraction.", "session_id": 15082, "sequence_id": 881, "annotations": []}
{"role": "volunteer", "content": "or say you", "session_id": 15082, "sequence_id": 882, "annotations": []}
{"role": "student", "content": "yeah, i reduced in two expression", "session_id": 15082, "sequence_id": 883, "annotations": []}
{"role": "volunteer", "content": "converted um", "session_id": 15082, "sequence_id": 884, "annotations": []}
{"role": "volunteer", "content": "say you converted this expression and instead of using tea, you decide to use a trig function.", "session_id": 15082, "sequence_id": 885, "annotations": []}
{"role": "volunteer", "content": "and then you'd have to", "session_id": 15082, "sequence_id": 886, "annotations": []}
{"role": "volunteer", "content": "try solving that way and I'd still be complicated.", "session_id": 15082, "sequence_id": 887, "annotations": []}
{"role": "volunteer", "content": "Um, because you'd have, say, say you said that um", "session_id": 15082, "sequence_id": 888, "annotations": []}
{"role": "volunteer", "content": "cosine theta is equal to X minus 2.", "session_id": 15082, "sequence_id": 889, "annotations": []}
{"role": "volunteer", "content": "right", "session_id": 15082, "sequence_id": 890, "annotations": []}
{"role": "volunteer", "content": "And then the denominator, you would have cosine, cosine theta, times, cosine plus one, right? So you'd end up with like co-signed squared plus cosine in the denominator.", "session_id": 15082, "sequence_id": 891, "annotations": []}
{"role": "volunteer", "content": "But in the numerator, you have to rewrite it.", "session_id": 15082, "sequence_id": 892, "annotations": []}
{"role": "volunteer", "content": "and it would still get complicated, right? You'd have like cosine plus something, cosine squared plus something, and", "session_id": 15082, "sequence_id": 893, "annotations": []}
{"role": "student", "content": "it will be very complicatded, bcuz now we have polynomal andtrig", "session_id": 15082, "sequence_id": 894, "annotations": []}
{"role": "volunteer", "content": "denominator cosines, cosine square plus cosine squared, and then you try to use the trigger identities and it's just too complicated.", "session_id": 15082, "sequence_id": 895, "annotations": []}
{"role": "volunteer", "content": "Yeah.", "session_id": 15082, "sequence_id": 896, "annotations": []}
{"role": "volunteer", "content": "Right. So those, cause that's just using the two methodologies that they've shown so far, right? Which would be substitution and trig identities.", "session_id": 15082, "sequence_id": 897, "annotations": []}
{"role": "volunteer", "content": "Um", "session_id": 15082, "sequence_id": 898, "annotations": []}
{"role": "volunteer", "content": "Now for the, the method they're giving here, well, I mean, I guess the other um methodology they give is just an antiderivation where you just look for", "session_id": 15082, "sequence_id": 899, "annotations": []}
{"role": "volunteer", "content": "um", "session_id": 15082, "sequence_id": 900, "annotations": []}
{"role": "volunteer", "content": "things that you know", "session_id": 15082, "sequence_id": 901, "annotations": []}
{"role": "volunteer", "content": "are the derivatives of something", "session_id": 15082, "sequence_id": 902, "annotations": []}
{"role": "volunteer", "content": "Um, but that isn't as straightforward here either.", "session_id": 15082, "sequence_id": 903, "annotations": []}
{"role": "volunteer", "content": "So, um, and if we would go back, remember?", "session_id": 15082, "sequence_id": 904, "annotations": []}
{"role": "volunteer", "content": "uh right here.", "session_id": 15082, "sequence_id": 905, "annotations": []}
{"role": "volunteer", "content": "If P over Q is improper, right? And they define", "session_id": 15082, "sequence_id": 906, "annotations": []}
{"role": "volunteer", "content": "proper fractions", "session_id": 15082, "sequence_id": 907, "annotations": []}
{"role": "volunteer", "content": "such that the degree of P is less than the degree of Q.", "session_id": 15082, "sequence_id": 908, "annotations": []}
{"role": "volunteer", "content": "right?", "session_id": 15082, "sequence_id": 909, "annotations": []}
{"role": "volunteer", "content": "Then you have to do long division.", "session_id": 15082, "sequence_id": 910, "annotations": []}
{"role": "volunteer", "content": "I know you try to do this problem without doing long division.", "session_id": 15082, "sequence_id": 911, "annotations": []}
{"role": "volunteer", "content": "And that's why I, um", "session_id": 15082, "sequence_id": 912, "annotations": []}
{"role": "volunteer", "content": "I don't know if you heard me when we were going through this, but I was kind of", "session_id": 15082, "sequence_id": 913, "annotations": []}
{"role": "volunteer", "content": "trying to emphasize, you know, how do they define what a proper and improper is.", "session_id": 15082, "sequence_id": 914, "annotations": []}
{"role": "volunteer", "content": "and, you know", "session_id": 15082, "sequence_id": 915, "annotations": []}
{"role": "volunteer", "content": "the long division process.", "session_id": 15082, "sequence_id": 916, "annotations": []}
{"role": "student", "content": "yeah, I heard you. but i didn't took notice of it in question i forgot", "session_id": 15082, "sequence_id": 917, "annotations": []}
{"role": "volunteer", "content": "Yeah, and that's one of those things that like, you don't realize is important until you start doing problems and you're like, oh, OK, I guess I do need to know why they phrase it this way or why we're using this methodology or in what conditions we use it in.", "session_id": 15082, "sequence_id": 918, "annotations": []}
{"role": "student", "content": "yes right", "session_id": 15082, "sequence_id": 919, "annotations": []}
{"role": "volunteer", "content": "Yeah, so don't, don't, don't be upset. That's the same trap that I fell into.", "session_id": 15082, "sequence_id": 920, "annotations": []}
{"role": "volunteer", "content": "And I was", "session_id": 15082, "sequence_id": 921, "annotations": []}
{"role": "volunteer", "content": "forced", "session_id": 15082, "sequence_id": 922, "annotations": []}
{"role": "volunteer", "content": "out of", "session_id": 15082, "sequence_id": 923, "annotations": []}
{"role": "volunteer", "content": "kind of frustration to go back and read the theory.", "session_id": 15082, "sequence_id": 924, "annotations": []}
{"role": "volunteer", "content": "to figure out the conditions, yeah.", "session_id": 15082, "sequence_id": 925, "annotations": []}
{"role": "volunteer", "content": "All right", "session_id": 15082, "sequence_id": 926, "annotations": []}
{"role": "student", "content": "right,", "session_id": 15082, "sequence_id": 927, "annotations": []}
{"role": "student", "content": "i'll do it again", "session_id": 15082, "sequence_id": 928, "annotations": []}
{"role": "volunteer", "content": "I believe in you", "session_id": 15082, "sequence_id": 929, "annotations": []}
{"role": "student", "content": "done", "session_id": 15082, "sequence_id": 930, "annotations": []}
{"role": "volunteer", "content": "All right, now that you get", "session_id": 15082, "sequence_id": 931, "annotations": []}
{"role": "volunteer", "content": "the expression they got.", "session_id": 15082, "sequence_id": 932, "annotations": []}
{"role": "volunteer", "content": "the solution they got", "session_id": 15082, "sequence_id": 933, "annotations": []}
{"role": "student", "content": "i have cofficient switched for log", "session_id": 15082, "sequence_id": 934, "annotations": []}
{"role": "volunteer", "content": "You mean you got", "session_id": 15082, "sequence_id": 935, "annotations": []}
{"role": "volunteer", "content": "the 5, you got the 10 going with X minus 2.", "session_id": 15082, "sequence_id": 936, "annotations": []}
{"role": "volunteer", "content": "and the 5 going with X minus 3.", "session_id": 15082, "sequence_id": 937, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 15082, "sequence_id": 938, "annotations": []}
{"role": "volunteer", "content": "OK, well, that's not right.", "session_id": 15082, "sequence_id": 939, "annotations": []}
{"role": "volunteer", "content": "I think you", "session_id": 15082, "sequence_id": 940, "annotations": []}
{"role": "volunteer", "content": "may have just I think you just may have switched your coefficients.", "session_id": 15082, "sequence_id": 941, "annotations": []}
{"role": "volunteer", "content": "cause that solution um is not the same.", "session_id": 15082, "sequence_id": 942, "annotations": []}
{"role": "volunteer", "content": "Your methodology is probably right, but I think you just", "session_id": 15082, "sequence_id": 943, "annotations": []}
{"role": "volunteer", "content": "probably switched your solutions", "session_id": 15082, "sequence_id": 944, "annotations": []}
{"role": "volunteer", "content": "So did you get something of this form?", "session_id": 15082, "sequence_id": 945, "annotations": []}
{"role": "volunteer", "content": "A over X minus 2 and B over x minus 3.", "session_id": 15082, "sequence_id": 946, "annotations": []}
{"role": "student", "content": "oh understood, i did got same form. but when integrating, i did a/x-3", "session_id": 15082, "sequence_id": 947, "annotations": []}
{"role": "volunteer", "content": "Right", "session_id": 15082, "sequence_id": 948, "annotations": []}
{"role": "volunteer", "content": "So the, remember it has to be the opposite term", "session_id": 15082, "sequence_id": 949, "annotations": []}
{"role": "volunteer", "content": "opposite expression", "session_id": 15082, "sequence_id": 950, "annotations": []}
{"role": "volunteer", "content": "Your coefficient is multiplied by the opposite expression to find what your coefficient is.", "session_id": 15082, "sequence_id": 951, "annotations": []}
{"role": "volunteer", "content": "Yeah, that's what I assumed you did. That's all you did was just swap the coefficients.", "session_id": 15082, "sequence_id": 952, "annotations": []}
{"role": "volunteer", "content": "but just know that you would get the wrong answer.", "session_id": 15082, "sequence_id": 953, "annotations": []}
{"role": "student", "content": "yeah, understood", "session_id": 15082, "sequence_id": 954, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 15082, "sequence_id": 955, "annotations": []}
{"role": "volunteer", "content": "And then we can do, how many examples are there? 1415 looks good fun.", "session_id": 15082, "sequence_id": 956, "annotations": []}
{"role": "volunteer", "content": "This is kind of what we're talking about earlier.", "session_id": 15082, "sequence_id": 957, "annotations": []}
{"role": "volunteer", "content": "rig inside our", "session_id": 15082, "sequence_id": 958, "annotations": []}
{"role": "volunteer", "content": "um inner grains", "session_id": 15082, "sequence_id": 959, "annotations": []}
{"role": "volunteer", "content": "Uh, then there's 16, so they have", "session_id": 15082, "sequence_id": 960, "annotations": []}
{"role": "volunteer", "content": "looks like they have examples for each form in the table.", "session_id": 15082, "sequence_id": 961, "annotations": []}
{"role": "volunteer", "content": "Well, close enough. They probably don't, I don't think they have one for problems too.", "session_id": 15082, "sequence_id": 962, "annotations": []}
{"role": "volunteer", "content": "but they definitely have one for 3 and", "session_id": 15082, "sequence_id": 963, "annotations": []}
{"role": "volunteer", "content": "4", "session_id": 15082, "sequence_id": 964, "annotations": []}
{"role": "volunteer", "content": "Right", "session_id": 15082, "sequence_id": 965, "annotations": []}
{"role": "volunteer", "content": "Um, I think that's enough. Well, we should have done.", "session_id": 15082, "sequence_id": 966, "annotations": []}
{"role": "volunteer", "content": "sample 15. We can do example 15.", "session_id": 15082, "sequence_id": 967, "annotations": []}
{"role": "volunteer", "content": "and then move on to, I don't know if you have time to do.", "session_id": 15082, "sequence_id": 968, "annotations": []}
{"role": "volunteer", "content": "any examples", "session_id": 15082, "sequence_id": 969, "annotations": []}
{"role": "volunteer", "content": "We can do", "session_id": 15082, "sequence_id": 970, "annotations": []}
{"role": "volunteer", "content": "I'm sorry, exercises", "session_id": 15082, "sequence_id": 971, "annotations": []}
{"role": "volunteer", "content": "Well, I guess you can work on that on your own, but", "session_id": 15082, "sequence_id": 972, "annotations": []}
{"role": "student", "content": "i'll do it", "session_id": 15082, "sequence_id": 973, "annotations": []}
{"role": "volunteer", "content": "it'll be good to handle something like", "session_id": 15082, "sequence_id": 974, "annotations": []}
{"role": "volunteer", "content": "where did they get tangent? Oh, dissolutions.", "session_id": 15082, "sequence_id": 975, "annotations": []}
{"role": "volunteer", "content": "The solution, sir. All right, so", "session_id": 15082, "sequence_id": 976, "annotations": []}
{"role": "volunteer", "content": "for example 15.", "session_id": 15082, "sequence_id": 977, "annotations": []}
{"role": "volunteer", "content": "Now we have", "session_id": 15082, "sequence_id": 978, "annotations": []}
{"role": "volunteer", "content": "expressions that need to be rewritten.", "session_id": 15082, "sequence_id": 979, "annotations": []}
{"role": "student", "content": "right, let's try it", "session_id": 15082, "sequence_id": 980, "annotations": []}
{"role": "volunteer", "content": "All right, let it rip", "session_id": 15082, "sequence_id": 981, "annotations": []}
{"role": "volunteer", "content": "Now they give you, well, I guess you don't want to look at the solution. I said they give you what", "session_id": 15082, "sequence_id": 982, "annotations": []}
{"role": "volunteer", "content": "the parameter is", "session_id": 15082, "sequence_id": 983, "annotations": []}
{"role": "volunteer", "content": "They say why here.", "session_id": 15082, "sequence_id": 984, "annotations": []}
{"role": "volunteer", "content": "By the way, this symbol", "session_id": 15082, "sequence_id": 985, "annotations": []}
{"role": "volunteer", "content": "um, with the zero with the vertical slash, it's called phi. It's a Greek letter.", "session_id": 15082, "sequence_id": 986, "annotations": [{"pii_type": "NRP", "surrogate": "Greek", "start": 67, "end": 72}]}
{"role": "volunteer", "content": "This becomes more prevalent when you start talking about um", "session_id": 15082, "sequence_id": 987, "annotations": []}
{"role": "volunteer", "content": "radio coordinates in 3 dimensions.", "session_id": 15082, "sequence_id": 988, "annotations": []}
{"role": "volunteer", "content": "They it's, I think it's actually spherical coordinates. Yeah, it's spherical coordinates.", "session_id": 15082, "sequence_id": 989, "annotations": []}
{"role": "volunteer", "content": "Anyway", "session_id": 15082, "sequence_id": 990, "annotations": []}
{"role": "student", "content": "done", "session_id": 15082, "sequence_id": 991, "annotations": []}
{"role": "student", "content": "you there?", "session_id": 15082, "sequence_id": 992, "annotations": []}
{"role": "volunteer", "content": "Oh, sorry", "session_id": 15082, "sequence_id": 993, "annotations": []}
{"role": "volunteer", "content": "I was distracted. Yeah, um, let's see. Did you get", "session_id": 15082, "sequence_id": 994, "annotations": []}
{"role": "volunteer", "content": "3 log 22 minus sign there, um, plus 4/2 minus sine theta.", "session_id": 15082, "sequence_id": 995, "annotations": []}
{"role": "volunteer", "content": "When do I have", "session_id": 15082, "sequence_id": 996, "annotations": []}
{"role": "volunteer", "content": "oh, they flipped it", "session_id": 15082, "sequence_id": 997, "annotations": []}
{"role": "volunteer", "content": "to get rid of the absolute value.", "session_id": 15082, "sequence_id": 998, "annotations": []}
{"role": "volunteer", "content": "Yeah, cause this is what I got.", "session_id": 15082, "sequence_id": 999, "annotations": []}
{"role": "student", "content": "i got sin fi - 2", "session_id": 15082, "sequence_id": 1000, "annotations": []}
{"role": "volunteer", "content": "sci 5 minus 2. Yeah, that's, that's basically this form. They just rewrote it.", "session_id": 15082, "sequence_id": 1001, "annotations": []}
{"role": "volunteer", "content": "because you have a negative term here. So they changed the Y minus 2 to 2 minusy, and they changed the absolute value here.", "session_id": 15082, "sequence_id": 1002, "annotations": []}
{"role": "volunteer", "content": "um because fee can never be greater than one.", "session_id": 15082, "sequence_id": 1003, "annotations": []}
{"role": "volunteer", "content": "They changed it to 2 minus 5.", "session_id": 15082, "sequence_id": 1004, "annotations": []}
{"role": "volunteer", "content": "just to kind of solve the absolute value.", "session_id": 15082, "sequence_id": 1005, "annotations": []}
{"role": "student", "content": "no, in log", "session_id": 15082, "sequence_id": 1006, "annotations": []}
{"role": "volunteer", "content": "So you're right", "session_id": 15082, "sequence_id": 1007, "annotations": []}
{"role": "volunteer", "content": "wait in long, yeah, yeah, 2 minus.", "session_id": 15082, "sequence_id": 1008, "annotations": []}
{"role": "volunteer", "content": "sine 5 minus 2. So the absolute value of Si phi minus 2.", "session_id": 15082, "sequence_id": 1009, "annotations": []}
{"role": "volunteer", "content": "is only ever between", "session_id": 15082, "sequence_id": 1010, "annotations": []}
{"role": "volunteer", "content": "I think, 3 and -1.", "session_id": 15082, "sequence_id": 1011, "annotations": []}
{"role": "volunteer", "content": "So", "session_id": 15082, "sequence_id": 1012, "annotations": []}
{"role": "volunteer", "content": "to change the absolute value, they distributed the negative", "session_id": 15082, "sequence_id": 1013, "annotations": []}
{"role": "volunteer", "content": "So you have 2 minus sign data sign phi, right? Sign only fluctuates between -1 and 1.", "session_id": 15082, "sequence_id": 1014, "annotations": []}
{"role": "volunteer", "content": "So 2 minus -1 is 3 and 2 minus 1 is 1, so they keep it this form to get rid of absolute value.", "session_id": 15082, "sequence_id": 1015, "annotations": []}
{"role": "volunteer", "content": "But this form is still acceptable.", "session_id": 15082, "sequence_id": 1016, "annotations": []}
{"role": "student", "content": "ohh, understood", "session_id": 15082, "sequence_id": 1017, "annotations": []}
{"role": "volunteer", "content": "Yeah.", "session_id": 15082, "sequence_id": 1018, "annotations": []}
{"role": "volunteer", "content": "Cause remember whenever we do the natural oulo that they include the absolute value because log, natural log can never be um 0 or less than 0.", "session_id": 15082, "sequence_id": 1019, "annotations": []}
{"role": "volunteer", "content": "So with the district restriction on that domain.", "session_id": 15082, "sequence_id": 1020, "annotations": []}
{"role": "volunteer", "content": "you can modify the expression.", "session_id": 15082, "sequence_id": 1021, "annotations": []}
{"role": "volunteer", "content": "cause we're considering absolute value.", "session_id": 15082, "sequence_id": 1022, "annotations": []}
{"role": "volunteer", "content": "Right? And in this instance, there's only one", "session_id": 15082, "sequence_id": 1023, "annotations": []}
{"role": "volunteer", "content": "case", "session_id": 15082, "sequence_id": 1024, "annotations": []}
{"role": "volunteer", "content": "for absolute value", "session_id": 15082, "sequence_id": 1025, "annotations": []}
{"role": "volunteer", "content": "that satisfies", "session_id": 15082, "sequence_id": 1026, "annotations": []}
{"role": "volunteer", "content": "this expression", "session_id": 15082, "sequence_id": 1027, "annotations": []}
{"role": "volunteer", "content": "So, you know, sign fee minus 2 has to be absolute value for it to be taken by log. However, 2 minus sign fee.", "session_id": 15082, "sequence_id": 1028, "annotations": []}
{"role": "volunteer", "content": "doesn't need absolute value because it's always positive.", "session_id": 15082, "sequence_id": 1029, "annotations": []}
{"role": "student", "content": "to keep it positive", "session_id": 15082, "sequence_id": 1030, "annotations": []}
{"role": "volunteer", "content": "Right, cause the range would be from -1 to 3.", "session_id": 15082, "sequence_id": 1031, "annotations": []}
{"role": "volunteer", "content": "I'm sorry, sorry. The range would be from 1 to 3. That was wrong.", "session_id": 15082, "sequence_id": 1032, "annotations": []}
{"role": "volunteer", "content": "The, the range of the expression inside the log. There we go.", "session_id": 15082, "sequence_id": 1033, "annotations": []}
{"role": "student", "content": "yeah, right", "session_id": 15082, "sequence_id": 1034, "annotations": []}
{"role": "volunteer", "content": "All right, well, that was fun", "session_id": 15082, "sequence_id": 1035, "annotations": []}
{"role": "volunteer", "content": "JK", "session_id": 15082, "sequence_id": 1036, "annotations": []}
{"role": "volunteer", "content": "Um.", "session_id": 15082, "sequence_id": 1037, "annotations": []}
{"role": "volunteer", "content": "but that's interesting", "session_id": 15082, "sequence_id": 1038, "annotations": []}
{"role": "volunteer", "content": "if you consider this problem", "session_id": 15082, "sequence_id": 1039, "annotations": []}
{"role": "volunteer", "content": "that whenever you have", "session_id": 15082, "sequence_id": 1040, "annotations": []}
{"role": "volunteer", "content": "the", "session_id": 15082, "sequence_id": 1041, "annotations": []}
{"role": "volunteer", "content": "denominator as a polynomial expansion.", "session_id": 15082, "sequence_id": 1042, "annotations": []}
{"role": "volunteer", "content": "right?", "session_id": 15082, "sequence_id": 1043, "annotations": []}
{"role": "volunteer", "content": "where it's either the squared term here.", "session_id": 15082, "sequence_id": 1044, "annotations": []}
{"role": "volunteer", "content": "you will have a solution of the form", "session_id": 15082, "sequence_id": 1045, "annotations": []}
{"role": "volunteer", "content": "naturallog", "session_id": 15082, "sequence_id": 1046, "annotations": []}
{"role": "volunteer", "content": "and one over the expression.", "session_id": 15082, "sequence_id": 1047, "annotations": []}
{"role": "volunteer", "content": "right? These two separate", "session_id": 15082, "sequence_id": 1048, "annotations": []}
{"role": "volunteer", "content": "um", "session_id": 15082, "sequence_id": 1049, "annotations": []}
{"role": "volunteer", "content": "forms", "session_id": 15082, "sequence_id": 1050, "annotations": []}
{"role": "volunteer", "content": "It'll be log of whatever the expression is, and then negative 1 over", "session_id": 15082, "sequence_id": 1051, "annotations": []}
{"role": "volunteer", "content": "whatever the expression is", "session_id": 15082, "sequence_id": 1052, "annotations": []}
{"role": "volunteer", "content": "That makes sense", "session_id": 15082, "sequence_id": 1053, "annotations": []}
{"role": "student", "content": "yes, makes sense", "session_id": 15082, "sequence_id": 1054, "annotations": []}
{"role": "volunteer", "content": "You know, I didn't think to do this earlier.", "session_id": 15082, "sequence_id": 1055, "annotations": []}
{"role": "volunteer", "content": "but if you go to the board, let's look at our table.", "session_id": 15082, "sequence_id": 1056, "annotations": []}
{"role": "volunteer", "content": "specifically the, the blue one.", "session_id": 15082, "sequence_id": 1057, "annotations": []}
{"role": "volunteer", "content": "um", "session_id": 15082, "sequence_id": 1058, "annotations": []}
{"role": "volunteer", "content": "if we look at the first form.", "session_id": 15082, "sequence_id": 1059, "annotations": []}
{"role": "volunteer", "content": "right? We got PQ over X divided by X minus A, X minus B.", "session_id": 15082, "sequence_id": 1060, "annotations": []}
{"role": "volunteer", "content": "right", "session_id": 15082, "sequence_id": 1061, "annotations": []}
{"role": "volunteer", "content": "The solution comes, the rewritten expression.", "session_id": 15082, "sequence_id": 1062, "annotations": []}
{"role": "volunteer", "content": "is a", "session_id": 15082, "sequence_id": 1063, "annotations": []}
{"role": "volunteer", "content": "improper refraction. I'm sorry, it's a proper fraction, which is a constant divided by each term, right? Each expression.", "session_id": 15082, "sequence_id": 1064, "annotations": []}
{"role": "volunteer", "content": "So our solution", "session_id": 15082, "sequence_id": 1065, "annotations": []}
{"role": "volunteer", "content": "um would actually be of the form.", "session_id": 15082, "sequence_id": 1066, "annotations": []}
{"role": "volunteer", "content": "of two logs", "session_id": 15082, "sequence_id": 1067, "annotations": []}
{"role": "volunteer", "content": "two separate logs because they cannot be", "session_id": 15082, "sequence_id": 1068, "annotations": []}
{"role": "volunteer", "content": "Actually, no, I guess they can be um", "session_id": 15082, "sequence_id": 1069, "annotations": []}
{"role": "volunteer", "content": "divided by. So you can probably combine, you can probably combine the two logs.", "session_id": 15082, "sequence_id": 1070, "annotations": []}
{"role": "volunteer", "content": "because as long as they have the same base,", "session_id": 15082, "sequence_id": 1071, "annotations": []}
{"role": "volunteer", "content": "Does that make sense", "session_id": 15082, "sequence_id": 1072, "annotations": []}
{"role": "volunteer", "content": "I don't feel like I'll lose you", "session_id": 15082, "sequence_id": 1073, "annotations": []}
{"role": "volunteer", "content": "I don't want, yeah, um, cause then you end up with some constant times log of X minus A.", "session_id": 15082, "sequence_id": 1074, "annotations": []}
{"role": "volunteer", "content": "plus.", "session_id": 15082, "sequence_id": 1075, "annotations": []}
{"role": "volunteer", "content": "B times log of x minus B.", "session_id": 15082, "sequence_id": 1076, "annotations": []}
{"role": "volunteer", "content": "and then depending on, you know, kind of the sign will determine if you combine when you combine the logs, which one's going to be on the", "session_id": 15082, "sequence_id": 1077, "annotations": []}
{"role": "volunteer", "content": "numerator and denominator and so on and so forth, or if they're both in numerator or both in denominator.", "session_id": 15082, "sequence_id": 1078, "annotations": []}
{"role": "volunteer", "content": "or if you can just leave them separated as logs.", "session_id": 15082, "sequence_id": 1079, "annotations": []}
{"role": "volunteer", "content": "I, I don't know why they didn't, um", "session_id": 15082, "sequence_id": 1080, "annotations": []}
{"role": "volunteer", "content": "where is it", "session_id": 15082, "sequence_id": 1081, "annotations": []}
{"role": "volunteer", "content": "Uh", "session_id": 15082, "sequence_id": 1082, "annotations": []}
{"role": "volunteer", "content": "yeah", "session_id": 15082, "sequence_id": 1083, "annotations": []}
{"role": "volunteer", "content": "So for example, if you look back at example 11,", "session_id": 15082, "sequence_id": 1084, "annotations": []}
{"role": "volunteer", "content": "they take", "session_id": 15082, "sequence_id": 1085, "annotations": []}
{"role": "volunteer", "content": "this", "session_id": 15082, "sequence_id": 1086, "annotations": []}
{"role": "volunteer", "content": "right, and combine it", "session_id": 15082, "sequence_id": 1087, "annotations": []}
{"role": "volunteer", "content": "Are you there? Hello", "session_id": 15082, "sequence_id": 1088, "annotations": []}
{"role": "student", "content": "yes, Im here. chat working slow", "session_id": 15082, "sequence_id": 1089, "annotations": []}
{"role": "volunteer", "content": "Oh, OK. Um, so I was trying to figure out why they", "session_id": 15082, "sequence_id": 1090, "annotations": []}
{"role": "volunteer", "content": "you know, they combine the log terms here.", "session_id": 15082, "sequence_id": 1091, "annotations": []}
{"role": "volunteer", "content": "however, they keep them separate here.", "session_id": 15082, "sequence_id": 1092, "annotations": []}
{"role": "volunteer", "content": "right?", "session_id": 15082, "sequence_id": 1093, "annotations": []}
{"role": "volunteer", "content": "And I think it's because of the coefficients.", "session_id": 15082, "sequence_id": 1094, "annotations": []}
{"role": "volunteer", "content": "because the", "session_id": 15082, "sequence_id": 1095, "annotations": []}
{"role": "volunteer", "content": "add them together is multiplication.", "session_id": 15082, "sequence_id": 1096, "annotations": []}
{"role": "volunteer", "content": "but you have separate coefficients", "session_id": 15082, "sequence_id": 1097, "annotations": []}
{"role": "volunteer", "content": "So this would actually to combine them would be log or natural log.", "session_id": 15082, "sequence_id": 1098, "annotations": []}
{"role": "volunteer", "content": "X minus 25th.", "session_id": 15082, "sequence_id": 1099, "annotations": []}
{"role": "volunteer", "content": "times", "session_id": 15082, "sequence_id": 1100, "annotations": []}
{"role": "volunteer", "content": "X minus 310 inside the same log.", "session_id": 15082, "sequence_id": 1101, "annotations": []}
{"role": "student", "content": "we can't combine log if their cofficient don't match", "session_id": 15082, "sequence_id": 1102, "annotations": []}
{"role": "volunteer", "content": "I mean, is that true? Uh", "session_id": 15082, "sequence_id": 1103, "annotations": []}
{"role": "volunteer", "content": "because the coefficient is just the exponent in on the inside.", "session_id": 15082, "sequence_id": 1104, "annotations": []}
{"role": "volunteer", "content": "For example, um,", "session_id": 15082, "sequence_id": 1105, "annotations": []}
{"role": "volunteer", "content": "let's go to the board.", "session_id": 15082, "sequence_id": 1106, "annotations": []}
{"role": "volunteer", "content": "Make some room, cause I could say", "session_id": 15082, "sequence_id": 1107, "annotations": []}
{"role": "volunteer", "content": "uh,", "session_id": 15082, "sequence_id": 1108, "annotations": []}
{"role": "volunteer", "content": "2 natural log of X.", "session_id": 15082, "sequence_id": 1109, "annotations": []}
{"role": "volunteer", "content": "minus", "session_id": 15082, "sequence_id": 1110, "annotations": []}
{"role": "volunteer", "content": "3 natural log of X.", "session_id": 15082, "sequence_id": 1111, "annotations": []}
{"role": "volunteer", "content": "Um, let me see, let me get another expression, X minus 2.", "session_id": 15082, "sequence_id": 1112, "annotations": []}
{"role": "volunteer", "content": "right", "session_id": 15082, "sequence_id": 1113, "annotations": []}
{"role": "volunteer", "content": "Technically, I could combine these.", "session_id": 15082, "sequence_id": 1114, "annotations": []}
{"role": "volunteer", "content": "right, cause this would just be natural log of X^2 minus natural log of x minus 2 cubed.", "session_id": 15082, "sequence_id": 1115, "annotations": []}
{"role": "volunteer", "content": "right, which is then becomes natural log of", "session_id": 15082, "sequence_id": 1116, "annotations": []}
{"role": "volunteer", "content": "z over x minus 2", "session_id": 15082, "sequence_id": 1117, "annotations": []}
{"role": "volunteer", "content": "cubs", "session_id": 15082, "sequence_id": 1118, "annotations": []}
{"role": "volunteer", "content": "right?", "session_id": 15082, "sequence_id": 1119, "annotations": []}
{"role": "volunteer", "content": "I just think it might be easier to leave at this expression.", "session_id": 15082, "sequence_id": 1120, "annotations": []}
{"role": "volunteer", "content": "rather than try to", "session_id": 15082, "sequence_id": 1121, "annotations": []}
{"role": "volunteer", "content": "convolute it this way", "session_id": 15082, "sequence_id": 1122, "annotations": []}
{"role": "volunteer", "content": "cause they're both equal the same thing.", "session_id": 15082, "sequence_id": 1123, "annotations": []}
{"role": "volunteer", "content": "I mean, we can take that um", "session_id": 15082, "sequence_id": 1124, "annotations": []}
{"role": "volunteer", "content": "that example 11", "session_id": 15082, "sequence_id": 1125, "annotations": []}
{"role": "volunteer", "content": "right? That solution has -5 log.", "session_id": 15082, "sequence_id": 1126, "annotations": []}
{"role": "volunteer", "content": "means natural log", "session_id": 15082, "sequence_id": 1127, "annotations": []}
{"role": "volunteer", "content": "X minus 2", "session_id": 15082, "sequence_id": 1128, "annotations": []}
{"role": "volunteer", "content": "+ 10", "session_id": 15082, "sequence_id": 1129, "annotations": []}
{"role": "volunteer", "content": "natural log", "session_id": 15082, "sequence_id": 1130, "annotations": []}
{"role": "volunteer", "content": "X minus 3.", "session_id": 15082, "sequence_id": 1131, "annotations": []}
{"role": "volunteer", "content": "right, and rewrite them as", "session_id": 15082, "sequence_id": 1132, "annotations": []}
{"role": "volunteer", "content": "um natural log. I'll skip a couple steps.", "session_id": 15082, "sequence_id": 1133, "annotations": []}
{"role": "volunteer", "content": "X minus 3 to 10th.", "session_id": 15082, "sequence_id": 1134, "annotations": []}
{"role": "volunteer", "content": "over X minus 2.", "session_id": 15082, "sequence_id": 1135, "annotations": []}
{"role": "volunteer", "content": "5th", "session_id": 15082, "sequence_id": 1136, "annotations": []}
{"role": "volunteer", "content": "right? And they're the same thing", "session_id": 15082, "sequence_id": 1137, "annotations": []}
{"role": "volunteer", "content": "It's just kind of what's easier to look at.", "session_id": 15082, "sequence_id": 1138, "annotations": []}
{"role": "volunteer", "content": "Just coefficients and expressions and natural log expressions or like a natural log of a", "session_id": 15082, "sequence_id": 1139, "annotations": []}
{"role": "volunteer", "content": "bunch of exponents", "session_id": 15082, "sequence_id": 1140, "annotations": []}
{"role": "volunteer", "content": "Anyway, that was just kind of my mental tangent. I was thinking about this earlier. Oh no, the chat, your network.", "session_id": 15082, "sequence_id": 1141, "annotations": []}
{"role": "student", "content": "i get it what you were saying. we cando like that", "session_id": 15082, "sequence_id": 1142, "annotations": []}
{"role": "volunteer", "content": "I mean, it's", "session_id": 15082, "sequence_id": 1143, "annotations": []}
{"role": "volunteer", "content": "I mean, I mean the same thing. I think they just like to use this form.", "session_id": 15082, "sequence_id": 1144, "annotations": []}
{"role": "volunteer", "content": "Um", "session_id": 15082, "sequence_id": 1145, "annotations": []}
{"role": "volunteer", "content": "anyway, um, if we go back to, we're saying uh what I was expressing is that", "session_id": 15082, "sequence_id": 1146, "annotations": []}
{"role": "volunteer", "content": "what happened to the board", "session_id": 15082, "sequence_id": 1147, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 15082, "sequence_id": 1148, "annotations": []}
{"role": "volunteer", "content": "That scared me", "session_id": 15082, "sequence_id": 1149, "annotations": []}
{"role": "volunteer", "content": "All right", "session_id": 15082, "sequence_id": 1150, "annotations": []}
{"role": "volunteer", "content": "So the", "session_id": 15082, "sequence_id": 1151, "annotations": []}
{"role": "volunteer", "content": "first form", "session_id": 15082, "sequence_id": 1152, "annotations": []}
{"role": "volunteer", "content": "will give us two natural logs.", "session_id": 15082, "sequence_id": 1153, "annotations": []}
{"role": "volunteer", "content": "The second form will give us a natural log", "session_id": 15082, "sequence_id": 1154, "annotations": []}
{"role": "student", "content": "i get what you were saying. it is property of log", "session_id": 15082, "sequence_id": 1155, "annotations": []}
{"role": "volunteer", "content": "and a um", "session_id": 15082, "sequence_id": 1156, "annotations": []}
{"role": "volunteer", "content": "yeah.", "session_id": 15082, "sequence_id": 1157, "annotations": []}
{"role": "volunteer", "content": "So I was, I was just trying to figure out their mentality on why they", "session_id": 15082, "sequence_id": 1158, "annotations": []}
{"role": "volunteer", "content": "didn't combine them.", "session_id": 15082, "sequence_id": 1159, "annotations": []}
{"role": "volunteer", "content": "um, or if you could even combine them.", "session_id": 15082, "sequence_id": 1160, "annotations": []}
{"role": "student", "content": "im sorry, can we wrap for today cuz my network seem to leave soon?", "session_id": 15082, "sequence_id": 1161, "annotations": []}
{"role": "volunteer", "content": "Reason being there isn't an exercise problem.", "session_id": 15082, "sequence_id": 1162, "annotations": []}
{"role": "volunteer", "content": "Oh, OK", "session_id": 15082, "sequence_id": 1163, "annotations": []}
{"role": "volunteer", "content": "That's fine. Um, Chris, have a good day.", "session_id": 15082, "sequence_id": 1164, "annotations": [{"pii_type": "PERSON", "surrogate": "Chris", "start": 17, "end": 22}]}
{"role": "volunteer", "content": "Bye", "session_id": 15082, "sequence_id": 1165, "annotations": []}
{"role": "student", "content": "have a good day", "session_id": 15082, "sequence_id": 1166, "annotations": []}
{"role": "student", "content": "bye", "session_id": 15082, "sequence_id": 1167, "annotations": []}
{"role": "volunteer", "content": "ready", "session_id": 15082, "sequence_id": 1168, "annotations": []}
{"role": "student", "content": "hi", "session_id": 15413, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "Hi Emily! How are you?", "session_id": 15413, "sequence_id": 1, "annotations": [{"pii_type": "PERSON", "surrogate": "Emily", "start": 3, "end": 8}]}
{"role": "student", "content": "I'm good and you", "session_id": 15413, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "I'm good as well :) How can I help you today?", "session_id": 15413, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "I need help with homework", "session_id": 15413, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "Okay! Is the screenshot your first question?", "session_id": 15413, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "yes", "session_id": 15413, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "Okay! Do you have an idea where to start?", "session_id": 15413, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "part A", "session_id": 15413, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "Do you have an idea how to start solving part A?", "session_id": 15413, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "we read the scenario", "session_id": 15413, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "to see what graph it would be", "session_id": 15413, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "Exactly! What information do we get from reading the scenario?", "session_id": 15413, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "I need help", "session_id": 15413, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "What is the ship doing during the first hour? And how close is it to shore?", "session_id": 15413, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "stop", "session_id": 15413, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "Exactly! Is the ship stopped at shore or away from shore?", "session_id": 15413, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "away", "session_id": 15413, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "excellent!", "session_id": 15413, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "So, we're looking at graphs of distance to shore vs time.", "session_id": 15413, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "During the first hour, the ship is not moving at all. Thus, its distance to shore is not changing. So what kind of line should we see on the graph over the first stretch of time?", "session_id": 15413, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "Remember, the line represents the distance from shore during that time, which is not changing", "session_id": 15413, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "constant line", "session_id": 15413, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "Very good! So, we can eliminate any possible answers that don't start their graph with a constant line", "session_id": 15413, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "yes", "session_id": 15413, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "Then, the captain starts heading back to shore and docks at shore for a while", "session_id": 15413, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "When the ship is at shore, what is the distance to shore?", "session_id": 15413, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "decrease", "session_id": 15413, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "That's right! The line should decrease. Should it decrease all the way to zero?", "session_id": 15413, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "yes", "session_id": 15413, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "very good!", "session_id": 15413, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "Which option starts with a constant line, decreases, and reaches 0?", "session_id": 15413, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "the last option", "session_id": 15413, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "yes :)", "session_id": 15413, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "Any questions on part a?", "session_id": 15413, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "no", "session_id": 15413, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "Awesome! Let's look at part b next. Here we're graphing speed vs time.", "session_id": 15413, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "So Emily begins her jogging workout by running faster and faster for about a minute. So for the first stretch of time on the graph, what should be happening to Emily's speed? What kind of line should we see?", "session_id": 15413, "sequence_id": 37, "annotations": [{"pii_type": "PERSON", "surrogate": "Emily", "start": 3, "end": 8}, {"pii_type": "PERSON", "surrogate": "Emily", "start": 160, "end": 165}]}
{"role": "student", "content": "decrease", "session_id": 15413, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "If Sarah is getting faster and faster at first, is her speed increasing or decreasing?", "session_id": 15413, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "increase", "session_id": 15413, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "exactly! Then should the graph of her speed vs time increase or decrease at first?", "session_id": 15413, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "increase", "session_id": 15413, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "yes!", "session_id": 15413, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "Then, which options can we eliminate, knowing that?", "session_id": 15413, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "very good!", "session_id": 15413, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "So after Emily gets faster for a minute, she jogs a constant pace for several minutes", "session_id": 15413, "sequence_id": 46, "annotations": [{"pii_type": "PERSON", "surrogate": "Emily", "start": 9, "end": 14}]}
{"role": "volunteer", "content": "If Emily's pace is constant next, is her speed changing?", "session_id": 15413, "sequence_id": 47, "annotations": [{"pii_type": "PERSON", "surrogate": "Emily", "start": 3, "end": 8}]}
{"role": "student", "content": "no", "session_id": 15413, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "exactly! What kind of line would we expect to see on her graph then?", "session_id": 15413, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "The graph shows how her speed changes over time and her speed is not changing", "session_id": 15413, "sequence_id": 50, "annotations": []}
{"role": "student", "content": "yes", "session_id": 15413, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "On a speed vs time graph, what kind of line indicates that speed is staying the same over time?", "session_id": 15413, "sequence_id": 52, "annotations": []}
{"role": "student", "content": "constant", "session_id": 15413, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "exactly! So we should see a constant line next", "session_id": 15413, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "Can we rule out one more option now?", "session_id": 15413, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "very good!", "session_id": 15413, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "Any other problems you'd like to go over?", "session_id": 15413, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "Or further questions on this one?", "session_id": 15413, "sequence_id": 58, "annotations": []}
{"role": "student", "content": "yes I have more", "session_id": 15413, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "okay!", "session_id": 15413, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "For part a, the scenario tells us that the pool starts half full of water and ends half full of water", "session_id": 15413, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "What does this tell us about the amount of water in the pool at the beginning and end of the stretch of time we are looking at?", "session_id": 15413, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "Should the amount of water be the same or different at the beginning and end?", "session_id": 15413, "sequence_id": 63, "annotations": []}
{"role": "student", "content": "decrease", "session_id": 15413, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "If the pool is half full at the beginning and half full at the end, is the amount of water in the pool at the beginning the same as the amount of water in the pool at the end?", "session_id": 15413, "sequence_id": 65, "annotations": []}
{"role": "student", "content": "no", "session_id": 15413, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "Why do you say that?", "session_id": 15413, "sequence_id": 67, "annotations": []}
{"role": "student", "content": "oh wait I mean yes", "session_id": 15413, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "Yeah! Then, what options can we eliminate, knowing that the start and end amount should be the same?", "session_id": 15413, "sequence_id": 69, "annotations": []}
{"role": "student", "content": "the third option", "session_id": 15413, "sequence_id": 70, "annotations": []}
{"role": "student", "content": "second option", "session_id": 15413, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "So we want to see the amount of water at time 0 be the same as the amount of water at the furthest x value", "session_id": 15413, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "Which options have that quality?", "session_id": 15413, "sequence_id": 73, "annotations": []}
{"role": "student", "content": "last option", "session_id": 15413, "sequence_id": 74, "annotations": []}
{"role": "volunteer", "content": "To me, the last option looks like at time 0, there's a lot of water and at the furthest time, there's a lot less water", "session_id": 15413, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "We want to see that y value at the beginning and end of the x range be the same", "session_id": 15413, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "In other words, if we drew a line between the beginning and end points, we should have a constant line", "session_id": 15413, "sequence_id": 77, "annotations": []}
{"role": "student", "content": "first option", "session_id": 15413, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "The first option doesn't fit that description unfortunately. The first point is the point of the line on the y axis, at time 0. The last point is the end of the graph line drawn. Does that make sense?", "session_id": 15413, "sequence_id": 79, "annotations": []}
{"role": "student", "content": "yes", "session_id": 15413, "sequence_id": 80, "annotations": []}
{"role": "volunteer", "content": "So we want to look for options where the y values of those two points are the same", "session_id": 15413, "sequence_id": 81, "annotations": []}
{"role": "volunteer", "content": "That means the amount of water in the pool started and ended at the same value because y is amount of water in the pool", "session_id": 15413, "sequence_id": 82, "annotations": []}
{"role": "volunteer", "content": "And the y values of those two points being the same means they are at the same level on the y axis :)", "session_id": 15413, "sequence_id": 83, "annotations": []}
{"role": "volunteer", "content": "If this way of looking at the problem isn't clear, there's another way we can approach this one? Would you like to try a different approach?", "session_id": 15413, "sequence_id": 84, "annotations": []}
{"role": "student", "content": "yes", "session_id": 15413, "sequence_id": 85, "annotations": []}
{"role": "volunteer", "content": "So a month ago, the pool was half full. Then, three weeks ago, the pool was filled.", "session_id": 15413, "sequence_id": 86, "annotations": []}
{"role": "volunteer", "content": "So did the amount of water in the pool increase or decrease?", "session_id": 15413, "sequence_id": 87, "annotations": []}
{"role": "student", "content": "increase", "session_id": 15413, "sequence_id": 88, "annotations": []}
{"role": "volunteer", "content": "Very good!", "session_id": 15413, "sequence_id": 89, "annotations": []}
{"role": "volunteer", "content": "Do any of the options show an increase in water level near the beginning of the month?", "session_id": 15413, "sequence_id": 90, "annotations": []}
{"role": "volunteer", "content": "We would see the line on the graph go up then because the amount of water is increasing.", "session_id": 15413, "sequence_id": 91, "annotations": []}
{"role": "volunteer", "content": "Do any of the graphs have an up line near the start?", "session_id": 15413, "sequence_id": 92, "annotations": []}
{"role": "student", "content": "yes", "session_id": 15413, "sequence_id": 93, "annotations": []}
{"role": "volunteer", "content": "Which ones/one?", "session_id": 15413, "sequence_id": 94, "annotations": []}
{"role": "student", "content": "the first, second, and last options", "session_id": 15413, "sequence_id": 95, "annotations": []}
{"role": "volunteer", "content": "Where do you see upward heading lines on those graphs?", "session_id": 15413, "sequence_id": 96, "annotations": []}
{"role": "volunteer", "content": "Could you circle those areas?", "session_id": 15413, "sequence_id": 97, "annotations": []}
{"role": "volunteer", "content": "Those lines represent that as time increases, amount of water decreases.", "session_id": 15413, "sequence_id": 98, "annotations": []}
{"role": "volunteer", "content": "We want to find a line that represents as time increases, water amount increases", "session_id": 15413, "sequence_id": 99, "annotations": []}
{"role": "volunteer", "content": "This is because the pool was filled near the beginning of the month", "session_id": 15413, "sequence_id": 100, "annotations": []}
{"role": "volunteer", "content": "Which option has an line that represents amount of water increasing as time increases?", "session_id": 15413, "sequence_id": 101, "annotations": []}
{"role": "volunteer", "content": "So as the x value, time, gets bigger, the line goes farther away from 0 on the y axis :)", "session_id": 15413, "sequence_id": 102, "annotations": []}
{"role": "volunteer", "content": "Do you understand the question? :)", "session_id": 15413, "sequence_id": 103, "annotations": []}
{"role": "student", "content": "yes", "session_id": 15413, "sequence_id": 104, "annotations": []}
{"role": "volunteer", "content": "awesome :)", "session_id": 15413, "sequence_id": 105, "annotations": []}
{"role": "volunteer", "content": "How are you feeling about this problem, Emily? I haven't heard from you in a bit.", "session_id": 15413, "sequence_id": 106, "annotations": [{"pii_type": "PERSON", "surrogate": "Emily", "start": 40, "end": 45}]}
{"role": "volunteer", "content": ":)", "session_id": 15413, "sequence_id": 107, "annotations": []}
{"role": "student", "content": "ok", "session_id": 15413, "sequence_id": 108, "annotations": []}
{"role": "volunteer", "content": "Okay! Let me know if you have any questions", "session_id": 15413, "sequence_id": 109, "annotations": []}
{"role": "student", "content": "can we work on something else", "session_id": 15413, "sequence_id": 110, "annotations": []}
{"role": "volunteer", "content": "Of course!", "session_id": 15413, "sequence_id": 111, "annotations": []}
{"role": "volunteer", "content": "What else would you like to work on?", "session_id": 15413, "sequence_id": 112, "annotations": []}
{"role": "volunteer", "content": "Do you have an idea where to start calculating f(-5)?", "session_id": 15413, "sequence_id": 113, "annotations": []}
{"role": "student", "content": "no", "session_id": 15413, "sequence_id": 114, "annotations": []}
{"role": "volunteer", "content": "So we're given the function definition for f(x)", "session_id": 15413, "sequence_id": 115, "annotations": []}
{"role": "volunteer", "content": "the parameter x can take on the value of any real number", "session_id": 15413, "sequence_id": 116, "annotations": []}
{"role": "volunteer", "content": "When we see f(-5), -5 is in the place of x. So we know this is the value of f(x) when x = -5", "session_id": 15413, "sequence_id": 117, "annotations": []}
{"role": "volunteer", "content": "Any questions so far?", "session_id": 15413, "sequence_id": 118, "annotations": []}
{"role": "student", "content": "no", "session_id": 15413, "sequence_id": 119, "annotations": []}
{"role": "volunteer", "content": "Awesome", "session_id": 15413, "sequence_id": 120, "annotations": []}
{"role": "volunteer", "content": "So the definition of function f gives us two case: 4 if x is not -2 and 2 if x is -2", "session_id": 15413, "sequence_id": 121, "annotations": []}
{"role": "volunteer", "content": "in this case, f(-5), x is -5. Which case are we in then? x is -2 or x is not -2?", "session_id": 15413, "sequence_id": 122, "annotations": []}
{"role": "student", "content": "-2", "session_id": 15413, "sequence_id": 123, "annotations": []}
{"role": "volunteer", "content": "x equals -5. Can x equal -5 and -2 at the same time?", "session_id": 15413, "sequence_id": 124, "annotations": []}
{"role": "student", "content": "no", "session_id": 15413, "sequence_id": 125, "annotations": []}
{"role": "volunteer", "content": "Then x must not equal -2", "session_id": 15413, "sequence_id": 126, "annotations": []}
{"role": "volunteer", "content": "Since x equals -5", "session_id": 15413, "sequence_id": 127, "annotations": []}
{"role": "volunteer", "content": "Thus, we are in the case if x does not equal -2", "session_id": 15413, "sequence_id": 128, "annotations": []}
{"role": "volunteer", "content": "The text I circled in green says, if x does not equal -2, f(x) equals 4", "session_id": 15413, "sequence_id": 129, "annotations": []}
{"role": "volunteer", "content": "Can you use this to evaluate f(-5)?", "session_id": 15413, "sequence_id": 130, "annotations": []}
{"role": "student", "content": "-20", "session_id": 15413, "sequence_id": 131, "annotations": []}
{"role": "volunteer", "content": "Close! But that's not correct", "session_id": 15413, "sequence_id": 132, "annotations": []}
{"role": "volunteer", "content": "f(x) can only be two values: 4 or 2", "session_id": 15413, "sequence_id": 133, "annotations": []}
{"role": "volunteer", "content": "f(x) is 4 if x does not equal -2", "session_id": 15413, "sequence_id": 134, "annotations": []}
{"role": "volunteer", "content": "f(x) is 2 if x equals -2", "session_id": 15413, "sequence_id": 135, "annotations": []}
{"role": "volunteer", "content": "Since for f(-5), x equals -5, we know x does not equal -2", "session_id": 15413, "sequence_id": 136, "annotations": []}
{"role": "volunteer", "content": "Since x does not equal -2, is f(-5) 4 or 2?", "session_id": 15413, "sequence_id": 137, "annotations": []}
{"role": "student", "content": "4", "session_id": 15413, "sequence_id": 138, "annotations": []}
{"role": "volunteer", "content": "yes!", "session_id": 15413, "sequence_id": 139, "annotations": []}
{"role": "volunteer", "content": "What do you think for f(-2)?", "session_id": 15413, "sequence_id": 140, "annotations": []}
{"role": "student", "content": "2", "session_id": 15413, "sequence_id": 141, "annotations": []}
{"role": "volunteer", "content": "yes!", "session_id": 15413, "sequence_id": 142, "annotations": []}
{"role": "volunteer", "content": "How about f(4)?", "session_id": 15413, "sequence_id": 143, "annotations": []}
{"role": "student", "content": "-5", "session_id": 15413, "sequence_id": 144, "annotations": []}
{"role": "volunteer", "content": "Why do you say that?", "session_id": 15413, "sequence_id": 145, "annotations": []}
{"role": "student", "content": "from the first part", "session_id": 15413, "sequence_id": 146, "annotations": []}
{"role": "volunteer", "content": "The first part of what?", "session_id": 15413, "sequence_id": 147, "annotations": []}
{"role": "volunteer", "content": "Remember, f(x) is defined above to only be 4 or 2", "session_id": 15413, "sequence_id": 148, "annotations": []}
{"role": "volunteer", "content": "so -5 is not correct", "session_id": 15413, "sequence_id": 149, "annotations": []}
{"role": "volunteer", "content": "f(x) is 4 when x does not equal -2 and 2 when x equals -2", "session_id": 15413, "sequence_id": 150, "annotations": []}
{"role": "volunteer", "content": "When calculating f(4), x equals 4", "session_id": 15413, "sequence_id": 151, "annotations": []}
{"role": "volunteer", "content": "Since x equals 4, does x equal -2 or not equal -2?", "session_id": 15413, "sequence_id": 152, "annotations": []}
{"role": "student", "content": "not", "session_id": 15413, "sequence_id": 153, "annotations": []}
{"role": "volunteer", "content": "exactly!", "session_id": 15413, "sequence_id": 154, "annotations": []}
{"role": "volunteer", "content": "So if x does not equal -2, what is f(x)?", "session_id": 15413, "sequence_id": 155, "annotations": []}
{"role": "student", "content": "2", "session_id": 15413, "sequence_id": 156, "annotations": []}
{"role": "volunteer", "content": "f(x) is 2 if x equals -2", "session_id": 15413, "sequence_id": 157, "annotations": []}
{"role": "volunteer", "content": "But x equals 4 not -2", "session_id": 15413, "sequence_id": 158, "annotations": []}
{"role": "volunteer", "content": "But x equals 4 not 2, I mean :)", "session_id": 15413, "sequence_id": 159, "annotations": []}
{"role": "volunteer", "content": "No x equals 4 not -2, I mean. Sorry!", "session_id": 15413, "sequence_id": 160, "annotations": []}
{"role": "volunteer", "content": "If x does not equal -2, what is f(x)?", "session_id": 15413, "sequence_id": 161, "annotations": []}
{"role": "volunteer", "content": "I have to leave at 2:15. Just a heads up :)", "session_id": 15413, "sequence_id": 162, "annotations": []}
{"role": "student", "content": "ok", "session_id": 15413, "sequence_id": 163, "annotations": []}
{"role": "volunteer", "content": "Was there anything else you wanted to ask?", "session_id": 15413, "sequence_id": 164, "annotations": []}
{"role": "student", "content": "no", "session_id": 15413, "sequence_id": 165, "annotations": []}
{"role": "volunteer", "content": "Okay! Good work today :) This is tricky stuff", "session_id": 15413, "sequence_id": 166, "annotations": []}
{"role": "volunteer", "content": "I hope you have a great day", "session_id": 15413, "sequence_id": 167, "annotations": []}
{"role": "volunteer", "content": "Hello How are you?", "session_id": 15793, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "I'm fine, hru?", "session_id": 15793, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "I am fine tnx how can I help?", "session_id": 15793, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "so basically we've been working with functions, limits, IVT, and etc... Now I will have a midterm about all of these we've been learning about and I need help getting all of these things in my head because I feel like I have some concepts done but then confused on the rest", "session_id": 15793, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "OK How can O help?", "session_id": 15793, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "I help*", "session_id": 15793, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "well, the teacher did give us 3 midterm samples and I guess we can work with that", "session_id": 15793, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "OK that sounbds like a good idea", "session_id": 15793, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "alr one min", "session_id": 15793, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 15793, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "okay let's js go step by step Sarah, I wasn't able to bring every page of it yet, but I guess we can start with page 1 which this is", "session_id": 15793, "sequence_id": 10, "annotations": [{"pii_type": "PERSON", "surrogate": "Sarah", "start": 30, "end": 35}]}
{"role": "volunteer", "content": "OK I will copy to 2nd screen Pls wait", "session_id": 15793, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "OK should we start with (a)?", "session_id": 15793, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "I see that u are typing", "session_id": 15793, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "Are you here?", "session_id": 15793, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "yea I'm here", "session_id": 15793, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 15793, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "what do u think about the intervals of continuity?", "session_id": 15793, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "there", "session_id": 15793, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "I will scroll down pls wait", "session_id": 15793, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "I think these intervals should all be in terms of x values I think I see some y values instead", "session_id": 15793, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "how? I thought i did x-values?", "session_id": 15793, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "I will circle", "session_id": 15793, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "are those really the x vlaues that u want?", "session_id": 15793, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 15793, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "I made a mistake on 0, but isn't infinity right?", "session_id": 15793, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "IMO no", "session_id": 15793, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "don't we want the x-coord of the verticla dotted line?", "session_id": 15793, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "so 5?", "session_id": 15793, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 15793, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "but doesn't the continuity line go all the way up at 5? does it mean that it stays at 5?", "session_id": 15793, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "Remeber the interval is *x* values", "session_id": 15793, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "okay", "session_id": 15793, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "y might go to inf yes but we need x values", "session_id": 15793, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "okay next one ig", "session_id": 15793, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "OK b)?", "session_id": 15793, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "Good", "session_id": 15793, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "thx", "session_id": 15793, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "for this one are we gonna start by plug 3 to f(x)?", "session_id": 15793, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "Hmm I think  not", "session_id": 15793, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "ok", "session_id": 15793, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "I think u need to ask about the lim of f(x) as x -> 3+", "session_id": 15793, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "is it 2?", "session_id": 15793, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "I think so yes", "session_id": 15793, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "now can u use that to answer this  part?", "session_id": 15793, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "like this?", "session_id": 15793, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "Yes", "session_id": 15793, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "keep going", "session_id": 15793, "sequence_id": 47, "annotations": []}
{"role": "student", "content": "ok", "session_id": 15793, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "what is the vlaue of that sin?", "session_id": 15793, "sequence_id": 49, "annotations": []}
{"role": "student", "content": "the value of that is 1", "session_id": 15793, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "I disagree", "session_id": 15793, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "I think sin(pi/2) = 1", "session_id": 15793, "sequence_id": 52, "annotations": []}
{"role": "student", "content": "that's what I said", "session_id": 15793, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "but you do not say sin(1)", "session_id": 15793, "sequence_id": 54, "annotations": []}
{"role": "student", "content": "so do I just put 1?", "session_id": 15793, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "well the answer is just the number 1", "session_id": 15793, "sequence_id": 56, "annotations": []}
{"role": "student", "content": "so the whole answer is just 1? we stop there?", "session_id": 15793, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "Yes", "session_id": 15793, "sequence_id": 58, "annotations": []}
{"role": "student", "content": "sorry", "session_id": 15793, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "No problem go ahead", "session_id": 15793, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "Yes 1", "session_id": 15793, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "Good", "session_id": 15793, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "I agree", "session_id": 15793, "sequence_id": 63, "annotations": []}
{"role": "student", "content": "do we just need to plug when the form is number over 0?", "session_id": 15793, "sequence_id": 64, "annotations": []}
{"role": "student", "content": "plug for x*", "session_id": 15793, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "well I think the lim is undefined", "session_id": 15793, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "but I am 90% sure", "session_id": 15793, "sequence_id": 67, "annotations": []}
{"role": "student", "content": "how do I get to where it tells me if it's undefined or not, do I js plug it?", "session_id": 15793, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "well nbr/0 is undefined", "session_id": 15793, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "so I think u can jsut say that", "session_id": 15793, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "in fact in this case, I think we have 1/0", "session_id": 15793, "sequence_id": 71, "annotations": []}
{"role": "student", "content": "wouldn't be 2/0?", "session_id": 15793, "sequence_id": 72, "annotations": []}
{"role": "student", "content": "since 1+1^2 is 2?", "session_id": 15793, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "I don't think so", "session_id": 15793, "sequence_id": 74, "annotations": []}
{"role": "volunteer", "content": "Liam the x^2 become 0^2 ?", "session_id": 15793, "sequence_id": 75, "annotations": [{"pii_type": "PERSON", "surrogate": "Liam", "start": 0, "end": 4}]}
{"role": "student", "content": "well x is going to 1-", "session_id": 15793, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "no", "session_id": 15793, "sequence_id": 77, "annotations": []}
{"role": "student", "content": "where did u get the 0 from?", "session_id": 15793, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "the one 1- means we are approaching +1 from the left side", "session_id": 15793, "sequence_id": 79, "annotations": []}
{"role": "student", "content": "okay so it's js zero?", "session_id": 15793, "sequence_id": 80, "annotations": []}
{"role": "volunteer", "content": "yes the x vlaue is jsut zeor", "session_id": 15793, "sequence_id": 81, "annotations": []}
{"role": "volunteer", "content": "so 1 + x^2 = 1", "session_id": 15793, "sequence_id": 82, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 15793, "sequence_id": 83, "annotations": []}
{"role": "volunteer", "content": "Now when I was in school (about 60 years ago) inf and undefined were the same but I am not so sure that is what they say now", "session_id": 15793, "sequence_id": 84, "annotations": []}
{"role": "volunteer", "content": "but u need to find thtat out", "session_id": 15793, "sequence_id": 85, "annotations": []}
{"role": "student", "content": "I think this is right", "session_id": 15793, "sequence_id": 86, "annotations": []}
{"role": "volunteer", "content": "OK It is Ok with me", "session_id": 15793, "sequence_id": 87, "annotations": []}
{"role": "volunteer", "content": "I have time for c) Then I must go", "session_id": 15793, "sequence_id": 88, "annotations": []}
{"role": "student", "content": "wait for the last one does it mean there is a vertical asymptote at x=1?", "session_id": 15793, "sequence_id": 89, "annotations": []}
{"role": "volunteer", "content": "do u mena for c) or b) iv ?", "session_id": 15793, "sequence_id": 90, "annotations": []}
{"role": "student", "content": "b) IV?", "session_id": 15793, "sequence_id": 91, "annotations": []}
{"role": "volunteer", "content": "well maybe but all we are asked for is the limit but I suspect you are right", "session_id": 15793, "sequence_id": 92, "annotations": []}
{"role": "volunteer", "content": "you see that from 0 to just beofre 1 we have a striaght line", "session_id": 15793, "sequence_id": 93, "annotations": []}
{"role": "volunteer", "content": "you culd get the eq of that lien and use it and grpah the function", "session_id": 15793, "sequence_id": 94, "annotations": []}
{"role": "student", "content": "okay Liam for see, it's asking for the inverse right?", "session_id": 15793, "sequence_id": 95, "annotations": [{"pii_type": "PERSON", "surrogate": "Liam", "start": 5, "end": 9}]}
{"role": "student", "content": "(*", "session_id": 15793, "sequence_id": 96, "annotations": []}
{"role": "volunteer", "content": "Yes", "session_id": 15793, "sequence_id": 97, "annotations": []}
{"role": "volunteer", "content": "ow would u do that?", "session_id": 15793, "sequence_id": 98, "annotations": []}
{"role": "student", "content": "doesn't js mean that we switch x and y values?", "session_id": 15793, "sequence_id": 99, "annotations": []}
{"role": "volunteer", "content": "exactly", "session_id": 15793, "sequence_id": 100, "annotations": []}
{"role": "student", "content": "like (-3,-2) becomes (-2,-3)", "session_id": 15793, "sequence_id": 101, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 15793, "sequence_id": 102, "annotations": []}
{"role": "volunteer", "content": "I will tell you another way that I like", "session_id": 15793, "sequence_id": 103, "annotations": []}
{"role": "volunteer", "content": "If you draw the graph on thin apaper that you can see thru", "session_id": 15793, "sequence_id": 104, "annotations": []}
{"role": "volunteer", "content": "you then rotate it 90 deg counter clockwise", "session_id": 15793, "sequence_id": 105, "annotations": []}
{"role": "volunteer", "content": "that makes the x acxis poitn up", "session_id": 15793, "sequence_id": 106, "annotations": []}
{"role": "volunteer", "content": "unfortuatley the y axis now points to the left", "session_id": 15793, "sequence_id": 107, "annotations": []}
{"role": "volunteer", "content": "so you must flip the paper \"around the new y axis!", "session_id": 15793, "sequence_id": 108, "annotations": []}
{"role": "volunteer", "content": "but using points the way u do is probably best", "session_id": 15793, "sequence_id": 109, "annotations": []}
{"role": "volunteer", "content": "I think the left one curves the other way I will draw", "session_id": 15793, "sequence_id": 110, "annotations": []}
{"role": "volunteer", "content": "I think that is it I may be wrong", "session_id": 15793, "sequence_id": 111, "annotations": []}
{"role": "volunteer", "content": "on the origianl what is the y vlaue when x = -2 ?", "session_id": 15793, "sequence_id": 112, "annotations": []}
{"role": "student", "content": "Np, how abt the last line, I'm having trouble drawing that", "session_id": 15793, "sequence_id": 113, "annotations": []}
{"role": "student", "content": "y=-1.5", "session_id": 15793, "sequence_id": 114, "annotations": []}
{"role": "volunteer", "content": "OK let me think I htink my pink one is worng", "session_id": 15793, "sequence_id": 115, "annotations": []}
{"role": "volunteer", "content": "but let's thiknk about the last one", "session_id": 15793, "sequence_id": 116, "annotations": []}
{"role": "volunteer", "content": "I think there will now be a horiz asy at y = 5", "session_id": 15793, "sequence_id": 117, "annotations": []}
{"role": "student", "content": "like that?", "session_id": 15793, "sequence_id": 118, "annotations": []}
{"role": "volunteer", "content": "sort of yes let  Liam", "session_id": 15793, "sequence_id": 119, "annotations": [{"pii_type": "PERSON", "surrogate": "Liam", "start": 17, "end": 21}]}
{"role": "volunteer", "content": "yes the open circle went from (3,2) to (2,3) yes", "session_id": 15793, "sequence_id": 120, "annotations": []}
{"role": "volunteer", "content": "good", "session_id": 15793, "sequence_id": 121, "annotations": []}
{"role": "volunteer", "content": "I have to go now", "session_id": 15793, "sequence_id": 122, "annotations": []}
{"role": "student", "content": "Does the graph look right to you?", "session_id": 15793, "sequence_id": 123, "annotations": []}
{"role": "volunteer", "content": "yes I mean it could be a little samoother", "session_id": 15793, "sequence_id": 124, "annotations": []}
{"role": "volunteer", "content": "that last curve should not dip down", "session_id": 15793, "sequence_id": 125, "annotations": []}
{"role": "volunteer", "content": "but it is hard to draw here", "session_id": 15793, "sequence_id": 126, "annotations": []}
{"role": "student", "content": "okay before you go, can you tell me why the pink one looks more like yours than mine? can you also arrange the last curve the way u say it?", "session_id": 15793, "sequence_id": 127, "annotations": []}
{"role": "volunteer", "content": "I now think the pink may be wrong", "session_id": 15793, "sequence_id": 128, "annotations": []}
{"role": "volunteer", "content": "let me thin", "session_id": 15793, "sequence_id": 129, "annotations": []}
{"role": "student", "content": "No you're right, i check on the answer ket", "session_id": 15793, "sequence_id": 130, "annotations": []}
{"role": "volunteer", "content": "you see in my head I first rotate the orifginal grpah 90 deg countter clockwise", "session_id": 15793, "sequence_id": 131, "annotations": []}
{"role": "volunteer", "content": "then I iamgine flipping it around the new y axis", "session_id": 15793, "sequence_id": 132, "annotations": []}
{"role": "volunteer", "content": "I think your blakc is better", "session_id": 15793, "sequence_id": 133, "annotations": []}
{"role": "student", "content": "No yours is better, I checked", "session_id": 15793, "sequence_id": 134, "annotations": []}
{"role": "volunteer", "content": "You could try to estimate y when x = -2", "session_id": 15793, "sequence_id": 135, "annotations": []}
{"role": "volunteer", "content": "then swap the coords for that point See what I mean?", "session_id": 15793, "sequence_id": 136, "annotations": []}
{"role": "student", "content": "Yea I see", "session_id": 15793, "sequence_id": 137, "annotations": []}
{"role": "volunteer", "content": "do u agree that in the original (-2, -1.4) might be close?", "session_id": 15793, "sequence_id": 138, "annotations": []}
{"role": "student", "content": "yea", "session_id": 15793, "sequence_id": 139, "annotations": []}
{"role": "volunteer", "content": "I will put a dot where I mean", "session_id": 15793, "sequence_id": 140, "annotations": []}
{"role": "volunteer", "content": "sort of the left  edge of the pink dot", "session_id": 15793, "sequence_id": 141, "annotations": []}
{"role": "volunteer", "content": "the dot is too big but I htink it would be (-2,-1.4) which woudl become (-1.4,-2)", "session_id": 15793, "sequence_id": 142, "annotations": []}
{"role": "volunteer", "content": "now wait", "session_id": 15793, "sequence_id": 143, "annotations": []}
{"role": "volunteer", "content": "for the left hand curve all the x and y in the original are negative do u agree?", "session_id": 15793, "sequence_id": 144, "annotations": []}
{"role": "student", "content": "yes", "session_id": 15793, "sequence_id": 145, "annotations": []}
{"role": "volunteer", "content": "so when you swap x and y all the new pairs whoudl have only negative x and y vlaues see what I mena?", "session_id": 15793, "sequence_id": 146, "annotations": []}
{"role": "volunteer", "content": "I will circle", "session_id": 15793, "sequence_id": 147, "annotations": []}
{"role": "student", "content": "Yea I see", "session_id": 15793, "sequence_id": 148, "annotations": []}
{"role": "volunteer", "content": "so that curve shoudl be in quadrant III", "session_id": 15793, "sequence_id": 149, "annotations": []}
{"role": "volunteer", "content": "Pls think about that", "session_id": 15793, "sequence_id": 150, "annotations": []}
{"role": "volunteer", "content": "I msut go now", "session_id": 15793, "sequence_id": 151, "annotations": []}
{"role": "volunteer", "content": "Hope to \"see\" you agian soon", "session_id": 15793, "sequence_id": 152, "annotations": []}
{"role": "student", "content": "alright bye", "session_id": 15793, "sequence_id": 153, "annotations": []}
{"role": "volunteer", "content": "BYE BYE", "session_id": 15793, "sequence_id": 154, "annotations": []}
{"role": "student", "content": "have a good night", "session_id": 15793, "sequence_id": 155, "annotations": []}
{"role": "volunteer", "content": "You too", "session_id": 15793, "sequence_id": 156, "annotations": []}
{"role": "student", "content": "thx", "session_id": 15793, "sequence_id": 157, "annotations": []}
{"role": "volunteer", "content": "Hi", "session_id": 15912, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "oh hi! how are you", "session_id": 15912, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "were you not expecting me?", "session_id": 15912, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "also did you sleep?", "session_id": 15912, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "yes! I did.", "session_id": 15912, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "I wasn't expecting you", "session_id": 15912, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "How weird is it running into each other like this.", "session_id": 15912, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "Hm", "session_id": 15912, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "yeah! we also kinda set time anyways.", "session_id": 15912, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "so, about my exam", "session_id": 15912, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "Right", "session_id": 15912, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "yeah, i think it was okay. There were questions I could do. I kind of mess up due to time bound", "session_id": 15912, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "Oh no", "session_id": 15912, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "Um, what do you mean by questions you could do?", "session_id": 15912, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "Were there a lot of questions you couldn't do?", "session_id": 15912, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "there were lot of questions, 100 questions", "session_id": 15912, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "I attempted 30  , time was over in that", "session_id": 15912, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "Oh man", "session_id": 15912, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "100 questions", "session_id": 15912, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "What, what were the top, I mean", "session_id": 15912, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "hmm,", "session_id": 15912, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "Was it just a bunch of questions you didn't understand or hadn't done yet, like integrals and", "session_id": 15912, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "um probability", "session_id": 15912, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "yeah, there were topics i didn't study", "session_id": 15912, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "lemme show you the questions", "session_id": 15912, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "Please", "session_id": 15912, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "It's not going online. I might need some more time.", "session_id": 15912, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "OK.", "session_id": 15912, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "No rush", "session_id": 15912, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "im casting it", "session_id": 15912, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "can you see it?", "session_id": 15912, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 15912, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "okay!", "session_id": 15912, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "Oh, matrices.", "session_id": 15912, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "I did #2", "session_id": 15912, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "A substances.", "session_id": 15912, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "out of this page", "session_id": 15912, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "Yeah, I'm, I'm looking at these questions and I'm thoroughly confused.", "session_id": 15912, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "What is AP and GP?", "session_id": 15912, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "arithmetic progression", "session_id": 15912, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "geometric progression", "session_id": 15912, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "All right, geometric progression and arithmetic progression.", "session_id": 15912, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "I just wasn't expecting that. Um.", "session_id": 15912, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "What did you say for the answer", "session_id": 15912, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "Uh, non-empty subsets of, of a set.", "session_id": 15912, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "and AMBC represent their compliments.", "session_id": 15912, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "Oops, um", "session_id": 15912, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "Uh, so A and B are subsets of the same set.", "session_id": 15912, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "So A, C, and BC represent their compliments.", "session_id": 15912, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "seems like i didn't attempt this one too.", "session_id": 15912, "sequence_id": 49, "annotations": []}
{"role": "student", "content": "I was confuse bcuz i was getting both statement wrong", "session_id": 15912, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "Huh. It's", "session_id": 15912, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "so all we do know is that the compliments, um", "session_id": 15912, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "A plus A C is equal to the whole set U, which is equal to B + BC.", "session_id": 15912, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "So if you subtract", "session_id": 15912, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "AC from both sides and BC from both sides, you get A minus BC is equal to B minus AC.", "session_id": 15912, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "I got 2", "session_id": 15912, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "Oh", "session_id": 15912, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "Oh, I see what you doing", "session_id": 15912, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "You just is a different color to show a B minus A.", "session_id": 15912, "sequence_id": 59, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 15912, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "Oh, I see what was wrong", "session_id": 15912, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "So the B complement", "session_id": 15912, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "Are you talking? Sorry, I don't have my microphone.", "session_id": 15912, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "where my headphones on", "session_id": 15912, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "Oh, I see what you're saying", "session_id": 15912, "sequence_id": 65, "annotations": []}
{"role": "student", "content": "I don't understand what a' - b'", "session_id": 15912, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "Basically red minus green, is that what you're saying?", "session_id": 15912, "sequence_id": 67, "annotations": []}
{"role": "student", "content": "I think 1st statement is correct", "session_id": 15912, "sequence_id": 68, "annotations": []}
{"role": "student", "content": "green line is b compliment", "session_id": 15912, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "Oh.", "session_id": 15912, "sequence_id": 70, "annotations": []}
{"role": "student", "content": "red line is a'", "session_id": 15912, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "Also green minus red", "session_id": 15912, "sequence_id": 72, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 15912, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "So it says B complement minus A complement.", "session_id": 15912, "sequence_id": 74, "annotations": []}
{"role": "volunteer", "content": "Yeah, I'd say one is the same.", "session_id": 15912, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "I'd say one is right", "session_id": 15912, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "Do you get", "session_id": 15912, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "BC minus AC.", "session_id": 15912, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "You said green minus red.", "session_id": 15912, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "and then statement 2 says,", "session_id": 15912, "sequence_id": 80, "annotations": []}
{"role": "volunteer", "content": "A minus B complement.", "session_id": 15912, "sequence_id": 81, "annotations": []}
{"role": "volunteer", "content": "is equal to", "session_id": 15912, "sequence_id": 82, "annotations": []}
{"role": "volunteer", "content": "a complement minus B.", "session_id": 15912, "sequence_id": 83, "annotations": []}
{"role": "volunteer", "content": "So A", "session_id": 15912, "sequence_id": 84, "annotations": []}
{"role": "volunteer", "content": "minus B complement.", "session_id": 15912, "sequence_id": 85, "annotations": []}
{"role": "volunteer", "content": "You just get the sliver in the middle, won't you?", "session_id": 15912, "sequence_id": 86, "annotations": []}
{"role": "student", "content": "for statement 2?", "session_id": 15912, "sequence_id": 87, "annotations": []}
{"role": "volunteer", "content": "You're just getting 0", "session_id": 15912, "sequence_id": 88, "annotations": []}
{"role": "volunteer", "content": "No, I'm sorry, that's a lie", "session_id": 15912, "sequence_id": 89, "annotations": []}
{"role": "volunteer", "content": "You get a minus B complement, which is everything around it.", "session_id": 15912, "sequence_id": 90, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 15912, "sequence_id": 91, "annotations": []}
{"role": "volunteer", "content": "including a", "session_id": 15912, "sequence_id": 92, "annotations": []}
{"role": "volunteer", "content": "A minus B. And then", "session_id": 15912, "sequence_id": 93, "annotations": []}
{"role": "volunteer", "content": "I think 2 is right.", "session_id": 15912, "sequence_id": 94, "annotations": []}
{"role": "volunteer", "content": "Could be way off. You would just get basically", "session_id": 15912, "sequence_id": 95, "annotations": []}
{"role": "volunteer", "content": "um", "session_id": 15912, "sequence_id": 96, "annotations": []}
{"role": "volunteer", "content": "kind of the universal set minus A and B.", "session_id": 15912, "sequence_id": 97, "annotations": []}
{"role": "volunteer", "content": "I should get the negative.", "session_id": 15912, "sequence_id": 98, "annotations": []}
{"role": "volunteer", "content": "All right, that's", "session_id": 15912, "sequence_id": 99, "annotations": []}
{"role": "volunteer", "content": "BC", "session_id": 15912, "sequence_id": 100, "annotations": []}
{"role": "volunteer", "content": "B complement", "session_id": 15912, "sequence_id": 101, "annotations": []}
{"role": "volunteer", "content": "in red", "session_id": 15912, "sequence_id": 102, "annotations": []}
{"role": "volunteer", "content": "He said A minus B complement you would get rid of.", "session_id": 15912, "sequence_id": 103, "annotations": []}
{"role": "volunteer", "content": "Right, but when you, oh, wouldn't you still have the overlap of A + B.", "session_id": 15912, "sequence_id": 104, "annotations": []}
{"role": "volunteer", "content": "or kind of that", "session_id": 15912, "sequence_id": 105, "annotations": []}
{"role": "volunteer", "content": "um", "session_id": 15912, "sequence_id": 106, "annotations": []}
{"role": "volunteer", "content": "convex shape", "session_id": 15912, "sequence_id": 107, "annotations": []}
{"role": "volunteer", "content": "It looks like you made a face, by the way.", "session_id": 15912, "sequence_id": 108, "annotations": []}
{"role": "student", "content": "I didn't really study this topic. I forgot it", "session_id": 15912, "sequence_id": 109, "annotations": []}
{"role": "student", "content": "I was asking is that the part is a-b'", "session_id": 15912, "sequence_id": 110, "annotations": []}
{"role": "volunteer", "content": "Mm", "session_id": 15912, "sequence_id": 111, "annotations": []}
{"role": "volunteer", "content": "I don't think that internal portion would be", "session_id": 15912, "sequence_id": 112, "annotations": []}
{"role": "volunteer", "content": "um", "session_id": 15912, "sequence_id": 113, "annotations": []}
{"role": "volunteer", "content": "A minus B complement, because B complement includes that", "session_id": 15912, "sequence_id": 114, "annotations": []}
{"role": "volunteer", "content": "a portion", "session_id": 15912, "sequence_id": 115, "annotations": []}
{"role": "volunteer", "content": "outside of the.", "session_id": 15912, "sequence_id": 116, "annotations": []}
{"role": "volunteer", "content": "So it technically cancel and you'd be left with the subset, um.", "session_id": 15912, "sequence_id": 117, "annotations": []}
{"role": "volunteer", "content": "kind of outside AMB", "session_id": 15912, "sequence_id": 118, "annotations": []}
{"role": "volunteer", "content": "and the portion inside um that overlaps between A and B.", "session_id": 15912, "sequence_id": 119, "annotations": []}
{"role": "volunteer", "content": "But if you said a complement plus B minus B.", "session_id": 15912, "sequence_id": 120, "annotations": []}
{"role": "volunteer", "content": "then you would get", "session_id": 15912, "sequence_id": 121, "annotations": []}
{"role": "volunteer", "content": "the outer", "session_id": 15912, "sequence_id": 122, "annotations": []}
{"role": "volunteer", "content": "By the way, I never, I don't, I don't think I ever really studied this either. None of this is really", "session_id": 15912, "sequence_id": 123, "annotations": []}
{"role": "volunteer", "content": "like refreshing any memories.", "session_id": 15912, "sequence_id": 124, "annotations": []}
{"role": "student", "content": "oh it's fine", "session_id": 15912, "sequence_id": 125, "annotations": []}
{"role": "volunteer", "content": "I can't, I don't even know what", "session_id": 15912, "sequence_id": 126, "annotations": []}
{"role": "student", "content": "let's move on", "session_id": 15912, "sequence_id": 127, "annotations": []}
{"role": "volunteer", "content": "course it'd be or what topic. Oh, sorry, yeah.", "session_id": 15912, "sequence_id": 128, "annotations": []}
{"role": "volunteer", "content": "I'm sure you're, I'm sure you're done with this.", "session_id": 15912, "sequence_id": 129, "annotations": []}
{"role": "volunteer", "content": "Um", "session_id": 15912, "sequence_id": 130, "annotations": []}
{"role": "volunteer", "content": "OK. That was number 2.", "session_id": 15912, "sequence_id": 131, "annotations": []}
{"role": "volunteer", "content": "Well, yeah.", "session_id": 15912, "sequence_id": 132, "annotations": []}
{"role": "volunteer", "content": "100 questions and I would, these are just the, the ones out the gate.", "session_id": 15912, "sequence_id": 133, "annotations": []}
{"role": "volunteer", "content": "Was there any more? How many terms of the", "session_id": 15912, "sequence_id": 134, "annotations": []}
{"role": "volunteer", "content": "what is number 6 say", "session_id": 15912, "sequence_id": 135, "annotations": []}
{"role": "student", "content": "i didn't any of these questions here", "session_id": 15912, "sequence_id": 136, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 15912, "sequence_id": 137, "annotations": []}
{"role": "student", "content": "you can look at them if u want", "session_id": 15912, "sequence_id": 138, "annotations": []}
{"role": "volunteer", "content": "But, and Y equal x factorial and Z equals 2 x factorial.", "session_id": 15912, "sequence_id": 139, "annotations": []}
{"role": "volunteer", "content": "So you have", "session_id": 15912, "sequence_id": 140, "annotations": []}
{"role": "volunteer", "content": "an odd, uneven factorial divided by a factorial factorial.", "session_id": 15912, "sequence_id": 141, "annotations": []}
{"role": "volunteer", "content": "where", "session_id": 15912, "sequence_id": 142, "annotations": []}
{"role": "volunteer", "content": "um I guess you'll just be left with the odd numbers.", "session_id": 15912, "sequence_id": 143, "annotations": []}
{"role": "volunteer", "content": "he said", "session_id": 15912, "sequence_id": 144, "annotations": []}
{"role": "volunteer", "content": "you know, to times 4 times 6 times 8, times 10.", "session_id": 15912, "sequence_id": 145, "annotations": []}
{"role": "volunteer", "content": "divided by 1 x 2 times.", "session_id": 15912, "sequence_id": 146, "annotations": []}
{"role": "volunteer", "content": "3 times 4 times 5.", "session_id": 15912, "sequence_id": 147, "annotations": []}
{"role": "volunteer", "content": "then 2 and 4s cancel.", "session_id": 15912, "sequence_id": 148, "annotations": []}
{"role": "volunteer", "content": "and you'd be left with 6 times 8 times 10 over.", "session_id": 15912, "sequence_id": 149, "annotations": []}
{"role": "volunteer", "content": "oops, more than that.", "session_id": 15912, "sequence_id": 150, "annotations": []}
{"role": "volunteer", "content": "I'm sorry. I don't", "session_id": 15912, "sequence_id": 151, "annotations": []}
{"role": "volunteer", "content": "if we can move on if you'd like.", "session_id": 15912, "sequence_id": 152, "annotations": []}
{"role": "student", "content": "you can try if u want.", "session_id": 15912, "sequence_id": 153, "annotations": []}
{"role": "volunteer", "content": "Yeah.", "session_id": 15912, "sequence_id": 154, "annotations": []}
{"role": "volunteer", "content": "Oh, it's 2 to the", "session_id": 15912, "sequence_id": 155, "annotations": []}
{"role": "volunteer", "content": "it's 2 to the 5th.", "session_id": 15912, "sequence_id": 156, "annotations": []}
{"role": "volunteer", "content": "Oh, so Z over Y", "session_id": 15912, "sequence_id": 157, "annotations": []}
{"role": "volunteer", "content": "is equal to 25 or 2 to the end then, whatever the factorial is.", "session_id": 15912, "sequence_id": 158, "annotations": []}
{"role": "volunteer", "content": "because for every X, you can divide two X by X.", "session_id": 15912, "sequence_id": 159, "annotations": []}
{"role": "volunteer", "content": "But a Z over N is equal CALC 201.", "session_id": 15912, "sequence_id": 160, "annotations": [{"pii_type": "COURSE", "surrogate": "CALC 201", "start": 24, "end": 32}]}
{"role": "volunteer", "content": "Um, long face, so N is equal to.", "session_id": 15912, "sequence_id": 161, "annotations": []}
{"role": "volunteer", "content": "This doesn't seem right.", "session_id": 15912, "sequence_id": 162, "annotations": []}
{"role": "volunteer", "content": "Where's my desmuss?", "session_id": 15912, "sequence_id": 163, "annotations": []}
{"role": "volunteer", "content": "6.9.", "session_id": 15912, "sequence_id": 164, "annotations": []}
{"role": "volunteer", "content": "So roughly 7", "session_id": 15912, "sequence_id": 165, "annotations": []}
{"role": "volunteer", "content": "And then what is the value of 3 of X?", "session_id": 15912, "sequence_id": 166, "annotations": []}
{"role": "volunteer", "content": "which between 3 to 7 times.", "session_id": 15912, "sequence_id": 167, "annotations": []}
{"role": "volunteer", "content": "um 7 factorial is equal to.", "session_id": 15912, "sequence_id": 168, "annotations": []}
{"role": "volunteer", "content": "And I'm wrong.", "session_id": 15912, "sequence_id": 169, "annotations": []}
{"role": "volunteer", "content": "Oh the joy", "session_id": 15912, "sequence_id": 170, "annotations": []}
{"role": "volunteer", "content": "Hm", "session_id": 15912, "sequence_id": 171, "annotations": []}
{"role": "volunteer", "content": "Is it me or does", "session_id": 15912, "sequence_id": 172, "annotations": []}
{"role": "volunteer", "content": "Yeah, I guess so", "session_id": 15912, "sequence_id": 173, "annotations": []}
{"role": "volunteer", "content": "So C is twice as D, B is twice a C, and A is twice as B.", "session_id": 15912, "sequence_id": 174, "annotations": []}
{"role": "volunteer", "content": "So really just it comes down to what um", "session_id": 15912, "sequence_id": 175, "annotations": []}
{"role": "volunteer", "content": "what could what basically what factorial you get the value for X.", "session_id": 15912, "sequence_id": 176, "annotations": []}
{"role": "volunteer", "content": "Well, I never evaluated what X was.", "session_id": 15912, "sequence_id": 177, "annotations": []}
{"role": "volunteer", "content": "That was dumb", "session_id": 15912, "sequence_id": 178, "annotations": []}
{"role": "volunteer", "content": "dumb, da dum dum dum.", "session_id": 15912, "sequence_id": 179, "annotations": []}
{"role": "volunteer", "content": "Oh wait, can't you just do", "session_id": 15912, "sequence_id": 180, "annotations": []}
{"role": "volunteer", "content": "um Y times Ethan Is that the same? X-factorial times 2 x factorial.", "session_id": 15912, "sequence_id": 181, "annotations": [{"pii_type": "PERSON", "surrogate": "Ethan", "start": 11, "end": 16}]}
{"role": "volunteer", "content": "to become a 3 X-factorial.", "session_id": 15912, "sequence_id": 182, "annotations": []}
{"role": "volunteer", "content": "No, that would give you kind of an X square factorial.", "session_id": 15912, "sequence_id": 183, "annotations": []}
{"role": "volunteer", "content": "How much time did they give you", "session_id": 15912, "sequence_id": 184, "annotations": []}
{"role": "volunteer", "content": "I can see why you", "session_id": 15912, "sequence_id": 185, "annotations": []}
{"role": "student", "content": "2 hours 30 min", "session_id": 15912, "sequence_id": 186, "annotations": []}
{"role": "volunteer", "content": "2.5 hours MATH 300 questions.", "session_id": 15912, "sequence_id": 187, "annotations": [{"pii_type": "COURSE", "surrogate": "MATH 300", "start": 10, "end": 18}]}
{"role": "volunteer", "content": "So that's", "session_id": 15912, "sequence_id": 188, "annotations": []}
{"role": "volunteer", "content": "150 minutes", "session_id": 15912, "sequence_id": 189, "annotations": []}
{"role": "volunteer", "content": "ALGEBRA 101 questions. So you basically got 90 seconds per", "session_id": 15912, "sequence_id": 190, "annotations": [{"pii_type": "COURSE", "surrogate": "ALGEBRA 101", "start": 0, "end": 11}]}
{"role": "volunteer", "content": "question", "session_id": 15912, "sequence_id": 191, "annotations": []}
{"role": "volunteer", "content": "So any confusion", "session_id": 15912, "sequence_id": 192, "annotations": []}
{"role": "volunteer", "content": "and you just gotta move on.", "session_id": 15912, "sequence_id": 193, "annotations": []}
{"role": "student", "content": "do i move on to next page or ?", "session_id": 15912, "sequence_id": 194, "annotations": []}
{"role": "volunteer", "content": "sounds sounds.", "session_id": 15912, "sequence_id": 195, "annotations": []}
{"role": "volunteer", "content": "um", "session_id": 15912, "sequence_id": 196, "annotations": []}
{"role": "volunteer", "content": "24", "session_id": 15912, "sequence_id": 197, "annotations": []}
{"role": "volunteer", "content": "120 is just 5 factorial.", "session_id": 15912, "sequence_id": 198, "annotations": []}
{"role": "volunteer", "content": "Um, let me, let me write down the question. This is gonna bother me. I'm gonna be very upset about this entire exam.", "session_id": 15912, "sequence_id": 199, "annotations": []}
{"role": "volunteer", "content": "even though I didn't take it, but living vicariously through you.", "session_id": 15912, "sequence_id": 200, "annotations": []}
{"role": "student", "content": "sure!", "session_id": 15912, "sequence_id": 201, "annotations": []}
{"role": "volunteer", "content": "OK, you can move on.", "session_id": 15912, "sequence_id": 202, "annotations": []}
{"role": "volunteer", "content": "And then what is 60? How many terms of this series of odd numbers amount to a sum equal to my goodness, look at that number.", "session_id": 15912, "sequence_id": 203, "annotations": []}
{"role": "volunteer", "content": "I don't even know what to", "session_id": 15912, "sequence_id": 204, "annotations": []}
{"role": "volunteer", "content": "what to do about that", "session_id": 15912, "sequence_id": 205, "annotations": []}
{"role": "volunteer", "content": "Oh no, what happened to the screen", "session_id": 15912, "sequence_id": 206, "annotations": []}
{"role": "volunteer", "content": "No more questions you wanted to know", "session_id": 15912, "sequence_id": 207, "annotations": []}
{"role": "volunteer", "content": "Why did I say no, I didn't say no.", "session_id": 15912, "sequence_id": 208, "annotations": []}
{"role": "volunteer", "content": "Just go over", "session_id": 15912, "sequence_id": 209, "annotations": []}
{"role": "volunteer", "content": "We can do it some other time then.", "session_id": 15912, "sequence_id": 210, "annotations": []}
{"role": "volunteer", "content": "Can you share the link for those questions?", "session_id": 15912, "sequence_id": 211, "annotations": []}
{"role": "volunteer", "content": "You mean the little in the time I have.", "session_id": 15912, "sequence_id": 212, "annotations": []}
{"role": "volunteer", "content": "free time I have", "session_id": 15912, "sequence_id": 213, "annotations": []}
{"role": "volunteer", "content": "kind of pour over those questions because they were.", "session_id": 15912, "sequence_id": 214, "annotations": []}
{"role": "volunteer", "content": "stumpers", "session_id": 15912, "sequence_id": 215, "annotations": []}
{"role": "student", "content": "it's not online. and not going on google drive either.", "session_id": 15912, "sequence_id": 216, "annotations": []}
{"role": "volunteer", "content": "Oh man", "session_id": 15912, "sequence_id": 217, "annotations": []}
{"role": "volunteer", "content": "kind of anti-tamperproof.", "session_id": 15912, "sequence_id": 218, "annotations": []}
{"role": "student", "content": "idk how to share them", "session_id": 15912, "sequence_id": 219, "annotations": []}
{"role": "student", "content": "what's that?", "session_id": 15912, "sequence_id": 220, "annotations": []}
{"role": "volunteer", "content": "I'm sorry, I just tamperproof.", "session_id": 15912, "sequence_id": 221, "annotations": []}
{"role": "volunteer", "content": "Just tamper proof", "session_id": 15912, "sequence_id": 222, "annotations": []}
{"role": "volunteer", "content": "Anyway, it's hard to share it because of the way they", "session_id": 15912, "sequence_id": 223, "annotations": []}
{"role": "volunteer", "content": "um have guarded it.", "session_id": 15912, "sequence_id": 224, "annotations": []}
{"role": "volunteer", "content": "Um, but wow, um, I forgot that you", "session_id": 15912, "sequence_id": 225, "annotations": []}
{"role": "volunteer", "content": "have to face those kinds of questions.", "session_id": 15912, "sequence_id": 226, "annotations": []}
{"role": "volunteer", "content": "That's the kind of stuff that will keep me up at night.", "session_id": 15912, "sequence_id": 227, "annotations": []}
{"role": "volunteer", "content": "set theory", "session_id": 15912, "sequence_id": 228, "annotations": []}
{"role": "student", "content": "I could have done more if i had studied more.", "session_id": 15912, "sequence_id": 229, "annotations": []}
{"role": "volunteer", "content": "You are smarter than me", "session_id": 15912, "sequence_id": 230, "annotations": []}
{"role": "student", "content": "I don't necessarily need not to do PHYSICS 205 questions. bcuz it got like criteria for passing", "session_id": 15912, "sequence_id": 231, "annotations": [{"pii_type": "COURSE", "surrogate": "PHYSICS 205", "start": 35, "end": 46}]}
{"role": "volunteer", "content": "Oh really", "session_id": 15912, "sequence_id": 232, "annotations": []}
{"role": "volunteer", "content": "So you could technically have strengths.", "session_id": 15912, "sequence_id": 233, "annotations": []}
{"role": "volunteer", "content": "like certain ones you can um", "session_id": 15912, "sequence_id": 234, "annotations": []}
{"role": "volunteer", "content": "certain topics you can only do.", "session_id": 15912, "sequence_id": 235, "annotations": []}
{"role": "volunteer", "content": "but still get enough to pass", "session_id": 15912, "sequence_id": 236, "annotations": []}
{"role": "volunteer", "content": "The Morgan's law complement laws.", "session_id": 15912, "sequence_id": 237, "annotations": []}
{"role": "student", "content": "no, I don't think so. bcuz you won't know if topic will lead the race. It's dangerous", "session_id": 15912, "sequence_id": 238, "annotations": []}
{"role": "volunteer", "content": "Oh, that is true", "session_id": 15912, "sequence_id": 239, "annotations": []}
{"role": "volunteer", "content": "Your word of warning", "session_id": 15912, "sequence_id": 240, "annotations": []}
{"role": "volunteer", "content": "old merit", "session_id": 15912, "sequence_id": 241, "annotations": []}
{"role": "volunteer", "content": "I went to the Professor Davies for set theory, trying to figure out compliments. They only made me more confused.", "session_id": 15912, "sequence_id": 242, "annotations": [{"pii_type": "PERSON", "surrogate": "Professor Davies", "start": 14, "end": 30}]}
{"role": "volunteer", "content": "Huh.", "session_id": 15912, "sequence_id": 243, "annotations": []}
{"role": "student", "content": "I think we need to attempt like 50 questions or so for okay marks. bcuz they also do negative marking", "session_id": 15912, "sequence_id": 244, "annotations": []}
{"role": "volunteer", "content": "Do they really", "session_id": 15912, "sequence_id": 245, "annotations": []}
{"role": "volunteer", "content": "Very stringent", "session_id": 15912, "sequence_id": 246, "annotations": []}
{"role": "volunteer", "content": "Hm", "session_id": 15912, "sequence_id": 247, "annotations": []}
{"role": "volunteer", "content": "I, I missed our infinity board. I don't know why they got rid of it.", "session_id": 15912, "sequence_id": 248, "annotations": []}
{"role": "volunteer", "content": "Is there any way we can ask for it back again?", "session_id": 15912, "sequence_id": 249, "annotations": []}
{"role": "volunteer", "content": "Or do you have to ask her? I don't know if I've ever been asked.", "session_id": 15912, "sequence_id": 250, "annotations": []}
{"role": "student", "content": "ask what? for infinity whiteboard?", "session_id": 15912, "sequence_id": 251, "annotations": []}
{"role": "volunteer", "content": "Yeah, Infinity whiteboard.", "session_id": 15912, "sequence_id": 252, "annotations": []}
{"role": "volunteer", "content": "You know, another thing, sorry, I'm, I'm, I'm, I'm still looking up.", "session_id": 15912, "sequence_id": 253, "annotations": []}
{"role": "volunteer", "content": "the set theory", "session_id": 15912, "sequence_id": 254, "annotations": []}
{"role": "volunteer", "content": "There's also, there was no", "session_id": 15912, "sequence_id": 255, "annotations": []}
{"role": "volunteer", "content": "nothing saying that AMB held an value set common in value, well, I'm sorry, Honey", "session_id": 15912, "sequence_id": 256, "annotations": []}
{"role": "volunteer", "content": "values", "session_id": 15912, "sequence_id": 257, "annotations": []}
{"role": "volunteer", "content": "in the set that were common", "session_id": 15912, "sequence_id": 258, "annotations": []}
{"role": "volunteer", "content": "So it could have just been two separate.", "session_id": 15912, "sequence_id": 259, "annotations": []}
{"role": "student", "content": "oh maybe have write email ?", "session_id": 15912, "sequence_id": 260, "annotations": []}
{"role": "volunteer", "content": "um", "session_id": 15912, "sequence_id": 261, "annotations": []}
{"role": "volunteer", "content": "sets", "session_id": 15912, "sequence_id": 262, "annotations": []}
{"role": "volunteer", "content": "or subsets", "session_id": 15912, "sequence_id": 263, "annotations": []}
{"role": "volunteer", "content": "Maybe they write email", "session_id": 15912, "sequence_id": 264, "annotations": []}
{"role": "volunteer", "content": "Oh, you mean like the, the AI tutor, the AI thing.", "session_id": 15912, "sequence_id": 265, "annotations": []}
{"role": "volunteer", "content": "I think if you asked him the AI chat.", "session_id": 15912, "sequence_id": 266, "annotations": []}
{"role": "volunteer", "content": "let me see", "session_id": 15912, "sequence_id": 267, "annotations": []}
{"role": "volunteer", "content": "to get infinity board back.", "session_id": 15912, "sequence_id": 268, "annotations": []}
{"role": "volunteer", "content": "By the way, can you see what I type into the UP bot whatever.", "session_id": 15912, "sequence_id": 269, "annotations": []}
{"role": "volunteer", "content": "typically click click on the whiteboard icon.", "session_id": 15912, "sequence_id": 270, "annotations": []}
{"role": "volunteer", "content": "in your toolbar or menu options.", "session_id": 15912, "sequence_id": 271, "annotations": []}
{"role": "volunteer", "content": "Toolbar", "session_id": 15912, "sequence_id": 272, "annotations": []}
{"role": "volunteer", "content": "the whiteboard", "session_id": 15912, "sequence_id": 273, "annotations": []}
{"role": "volunteer", "content": "icon", "session_id": 15912, "sequence_id": 274, "annotations": []}
{"role": "student", "content": "yes I can see", "session_id": 15912, "sequence_id": 275, "annotations": []}
{"role": "volunteer", "content": "Mm", "session_id": 15912, "sequence_id": 276, "annotations": []}
{"role": "volunteer", "content": "This, yeah, it was not very helpful.", "session_id": 15912, "sequence_id": 277, "annotations": []}
{"role": "volunteer", "content": "TODC", "session_id": 15912, "sequence_id": 278, "annotations": []}
{"role": "volunteer", "content": "O MTH that math, 44APTO. What a", "session_id": 15912, "sequence_id": 279, "annotations": []}
{"role": "volunteer", "content": "Oh, and you can't share", "session_id": 15912, "sequence_id": 280, "annotations": []}
{"role": "volunteer", "content": "PDFs too", "session_id": 15912, "sequence_id": 281, "annotations": []}
{"role": "student", "content": "my network kinda slowing down. i see in chat, u said honey. why did you say that?", "session_id": 15912, "sequence_id": 282, "annotations": []}
{"role": "volunteer", "content": "Can you upload it?", "session_id": 15912, "sequence_id": 283, "annotations": []}
{"role": "volunteer", "content": "I said, honey, did I really?", "session_id": 15912, "sequence_id": 284, "annotations": []}
{"role": "volunteer", "content": "That's a typo", "session_id": 15912, "sequence_id": 285, "annotations": []}
{"role": "volunteer", "content": "Oh jeez, yeah. It says I'm nothing saying that AMB.", "session_id": 15912, "sequence_id": 286, "annotations": []}
{"role": "volunteer", "content": "wells", "session_id": 15912, "sequence_id": 287, "annotations": []}
{"role": "volunteer", "content": "That's", "session_id": 15912, "sequence_id": 288, "annotations": []}
{"role": "volunteer", "content": "I don't remember saying, honey, I'm, I apologize if that's", "session_id": 15912, "sequence_id": 289, "annotations": []}
{"role": "volunteer", "content": "Yeah, I didn't, I didn't mean that.", "session_id": 15912, "sequence_id": 290, "annotations": []}
{"role": "volunteer", "content": "Um", "session_id": 15912, "sequence_id": 291, "annotations": []}
{"role": "volunteer", "content": "where the heck did I get that from", "session_id": 15912, "sequence_id": 292, "annotations": []}
{"role": "volunteer", "content": "Sorry, I was in between words. I gotta stop muttering into the mic.", "session_id": 15912, "sequence_id": 293, "annotations": []}
{"role": "volunteer", "content": "How did it pick? Why did, why did you even think that?", "session_id": 15912, "sequence_id": 294, "annotations": []}
{"role": "volunteer", "content": "There, there's been quite a few times where", "session_id": 15912, "sequence_id": 295, "annotations": []}
{"role": "volunteer", "content": "um I don't know where they got the words from.", "session_id": 15912, "sequence_id": 296, "annotations": []}
{"role": "volunteer", "content": "or or how the sounds I made, they chose those words for.", "session_id": 15912, "sequence_id": 297, "annotations": []}
{"role": "volunteer", "content": "This mic is dangerous.", "session_id": 15912, "sequence_id": 298, "annotations": []}
{"role": "student", "content": "yeah, okay. let's be careful", "session_id": 15912, "sequence_id": 299, "annotations": []}
{"role": "volunteer", "content": "Noted", "session_id": 15912, "sequence_id": 300, "annotations": []}
{"role": "volunteer", "content": "So what do you wanna, um,", "session_id": 15912, "sequence_id": 301, "annotations": []}
{"role": "volunteer", "content": "I don't wanna take up too much of your time. What do you, what do you wanna do today? Um, what do you want to focus on", "session_id": 15912, "sequence_id": 302, "annotations": []}
{"role": "volunteer", "content": "Do you need kind of a mental break?", "session_id": 15912, "sequence_id": 303, "annotations": []}
{"role": "volunteer", "content": "after the exam, or do you wanna focus on some questions from you. It's only 18 pages. That it'd be longer, um", "session_id": 15912, "sequence_id": 304, "annotations": []}
{"role": "volunteer", "content": "Do you wanna go back to doing intervals? Like, what do you wanna, where do you wanna go from here?", "session_id": 15912, "sequence_id": 305, "annotations": []}
{"role": "volunteer", "content": "I don't mind either or", "session_id": 15912, "sequence_id": 306, "annotations": []}
{"role": "student", "content": "let's continue with integrals.", "session_id": 15912, "sequence_id": 307, "annotations": []}
{"role": "student", "content": "These questions will take a lot of time", "session_id": 15912, "sequence_id": 308, "annotations": []}
{"role": "volunteer", "content": "That's also true.", "session_id": 15912, "sequence_id": 309, "annotations": []}
{"role": "volunteer", "content": "OK, so,", "session_id": 15912, "sequence_id": 310, "annotations": []}
{"role": "volunteer", "content": "we pick up", "session_id": 15912, "sequence_id": 311, "annotations": []}
{"role": "volunteer", "content": "where we left off.", "session_id": 15912, "sequence_id": 312, "annotations": []}
{"role": "volunteer", "content": "We were on", "session_id": 15912, "sequence_id": 313, "annotations": []}
{"role": "volunteer", "content": "um integration by substitution.", "session_id": 15912, "sequence_id": 314, "annotations": []}
{"role": "volunteer", "content": "We're going through the examples", "session_id": 15912, "sequence_id": 315, "annotations": []}
{"role": "volunteer", "content": "Um, we had", "session_id": 15912, "sequence_id": 316, "annotations": []}
{"role": "student", "content": "I completed 7.2", "session_id": 15912, "sequence_id": 317, "annotations": []}
{"role": "volunteer", "content": "we had just finished discussing why single trig, um.", "session_id": 15912, "sequence_id": 318, "annotations": []}
{"role": "volunteer", "content": "Oh, you finished 7.2", "session_id": 15912, "sequence_id": 319, "annotations": []}
{"role": "volunteer", "content": "Oh, you do the exercises", "session_id": 15912, "sequence_id": 320, "annotations": []}
{"role": "volunteer", "content": "So you wanna move on then", "session_id": 15912, "sequence_id": 321, "annotations": []}
{"role": "volunteer", "content": "How'd you find the question", "session_id": 15912, "sequence_id": 322, "annotations": []}
{"role": "student", "content": "some of them were hard", "session_id": 15912, "sequence_id": 323, "annotations": []}
{"role": "volunteer", "content": "Yeah, I bet", "session_id": 15912, "sequence_id": 324, "annotations": []}
{"role": "volunteer", "content": "Did you wanna go over some of them or just continue on?", "session_id": 15912, "sequence_id": 325, "annotations": []}
{"role": "student", "content": "Do I memorize these integrals of tanx, ...", "session_id": 15912, "sequence_id": 326, "annotations": []}
{"role": "volunteer", "content": "Um,", "session_id": 15912, "sequence_id": 327, "annotations": []}
{"role": "volunteer", "content": "I don't think you need this, you don't need the integrals of the single.", "session_id": 15912, "sequence_id": 328, "annotations": []}
{"role": "volunteer", "content": "um", "session_id": 15912, "sequence_id": 329, "annotations": []}
{"role": "volunteer", "content": "you just need to know like the standard derivatives.", "session_id": 15912, "sequence_id": 330, "annotations": []}
{"role": "volunteer", "content": "That way you can do the easy um antiderivatives for the intervals, but the other ones, you may have to like either derive on the spot.", "session_id": 15912, "sequence_id": 331, "annotations": []}
{"role": "volunteer", "content": "or just kind of like remember the tricks, cause those are the more uncommon ones.", "session_id": 15912, "sequence_id": 332, "annotations": []}
{"role": "volunteer", "content": "like the inner role of um tangent, stuff like that, where it's like log", "session_id": 15912, "sequence_id": 333, "annotations": []}
{"role": "volunteer", "content": "um, those are, those aren't very standard.", "session_id": 15912, "sequence_id": 334, "annotations": []}
{"role": "volunteer", "content": "They may be useful at one point, but it'd be kind of a niche.", "session_id": 15912, "sequence_id": 335, "annotations": []}
{"role": "volunteer", "content": "But then again, I don't like, considering what you're your exams are like, I don't think they're going to be that cut and dry.", "session_id": 15912, "sequence_id": 336, "annotations": []}
{"role": "volunteer", "content": "They're gonna be some very like", "session_id": 15912, "sequence_id": 337, "annotations": []}
{"role": "volunteer", "content": "abstract or niche thing.", "session_id": 15912, "sequence_id": 338, "annotations": []}
{"role": "volunteer", "content": "Where am I? You said you finished 7.2, or there's 7.3.", "session_id": 15912, "sequence_id": 339, "annotations": []}
{"role": "student", "content": "they not gonna ask integral of tan x, for sure", "session_id": 15912, "sequence_id": 340, "annotations": []}
{"role": "volunteer", "content": "Good. Yeah, I don't think so either.", "session_id": 15912, "sequence_id": 341, "annotations": []}
{"role": "volunteer", "content": "I, I, I hadn't like to this point, I don't think I ever knew what the inner role of tangent was.", "session_id": 15912, "sequence_id": 342, "annotations": []}
{"role": "volunteer", "content": "I mean, once I saw it, it made sense, but I didn't think I never really needed to know it.", "session_id": 15912, "sequence_id": 343, "annotations": []}
{"role": "student", "content": "okay, so I just need to know the process", "session_id": 15912, "sequence_id": 344, "annotations": []}
{"role": "volunteer", "content": "Yeah, the like,", "session_id": 15912, "sequence_id": 345, "annotations": []}
{"role": "volunteer", "content": "for the majority of this stuff.", "session_id": 15912, "sequence_id": 346, "annotations": []}
{"role": "volunteer", "content": "it's the process", "session_id": 15912, "sequence_id": 347, "annotations": []}
{"role": "volunteer", "content": "the methodology, the thinking.", "session_id": 15912, "sequence_id": 348, "annotations": []}
{"role": "volunteer", "content": "right? You don't need to know", "session_id": 15912, "sequence_id": 349, "annotations": []}
{"role": "volunteer", "content": "the knickknacks. You just need to know kind of what tools to use when.", "session_id": 15912, "sequence_id": 350, "annotations": []}
{"role": "volunteer", "content": "um", "session_id": 15912, "sequence_id": 351, "annotations": []}
{"role": "volunteer", "content": "and also like", "session_id": 15912, "sequence_id": 352, "annotations": []}
{"role": "volunteer", "content": "doing these problems helps you get used to thinking in a certain way.", "session_id": 15912, "sequence_id": 353, "annotations": []}
{"role": "volunteer", "content": "like quicker to pick up the right form of um like what tea should be or what you should be, um,", "session_id": 15912, "sequence_id": 354, "annotations": []}
{"role": "volunteer", "content": "but that just comes with practice and experience.", "session_id": 15912, "sequence_id": 355, "annotations": []}
{"role": "volunteer", "content": "just kind of seeing, you know, typically what", "session_id": 15912, "sequence_id": 356, "annotations": []}
{"role": "volunteer", "content": "becomes easier to do.", "session_id": 15912, "sequence_id": 357, "annotations": []}
{"role": "volunteer", "content": "just from doing problems that end up becoming really hard.", "session_id": 15912, "sequence_id": 358, "annotations": []}
{"role": "student", "content": "yeah, right", "session_id": 15912, "sequence_id": 359, "annotations": []}
{"role": "volunteer", "content": "OK. So if you've done 7.2 or 7.3, I guess. So now we can do um trick identities.", "session_id": 15912, "sequence_id": 360, "annotations": []}
{"role": "volunteer", "content": "Here's where you're gonna become more versed in your um", "session_id": 15912, "sequence_id": 361, "annotations": []}
{"role": "volunteer", "content": "trait intervals and derivatives.", "session_id": 15912, "sequence_id": 362, "annotations": []}
{"role": "volunteer", "content": "and just more practice with substitution.", "session_id": 15912, "sequence_id": 363, "annotations": []}
{"role": "volunteer", "content": "And um I think they use double angle and triple angles, double and half angles here.", "session_id": 15912, "sequence_id": 364, "annotations": []}
{"role": "volunteer", "content": "Imagine so", "session_id": 15912, "sequence_id": 365, "annotations": []}
{"role": "volunteer", "content": "All right, so now, um, rather than substitution,", "session_id": 15912, "sequence_id": 366, "annotations": []}
{"role": "volunteer", "content": "well, rather than that form of substitution, now we're going to just start solving using um or doing intervals just using trig identities.", "session_id": 15912, "sequence_id": 367, "annotations": []}
{"role": "student", "content": "okay", "session_id": 15912, "sequence_id": 368, "annotations": []}
{"role": "volunteer", "content": "which is an application of the chain rule.", "session_id": 15912, "sequence_id": 369, "annotations": []}
{"role": "volunteer", "content": "after you subs it up. So for the first example, did you want to try, um, we'll go through the first example.", "session_id": 15912, "sequence_id": 370, "annotations": []}
{"role": "volunteer", "content": "and then if you wanted to try to on your own, and then we can kind of go through 3.", "session_id": 15912, "sequence_id": 371, "annotations": []}
{"role": "volunteer", "content": "or you want to do 2 together, 1 and 2 together, and then go through 3.", "session_id": 15912, "sequence_id": 372, "annotations": []}
{"role": "volunteer", "content": "I'm sorry", "session_id": 15912, "sequence_id": 373, "annotations": []}
{"role": "volunteer", "content": "So these end up being pretty short.", "session_id": 15912, "sequence_id": 374, "annotations": []}
{"role": "student", "content": "yes, I can try them", "session_id": 15912, "sequence_id": 375, "annotations": []}
{"role": "volunteer", "content": "Did you at least want to try the first one together or you, you feel confident enough.", "session_id": 15912, "sequence_id": 376, "annotations": []}
{"role": "volunteer", "content": "You should.", "session_id": 15912, "sequence_id": 377, "annotations": []}
{"role": "volunteer", "content": "You're pretty. You should feel confident. I'm sorry.", "session_id": 15912, "sequence_id": 378, "annotations": []}
{"role": "volunteer", "content": "These half thoughts", "session_id": 15912, "sequence_id": 379, "annotations": []}
{"role": "student", "content": "I'll try it first. if i can't, then we can see where i mess up", "session_id": 15912, "sequence_id": 380, "annotations": []}
{"role": "volunteer", "content": "All right", "session_id": 15912, "sequence_id": 381, "annotations": []}
{"role": "volunteer", "content": "I believe in you", "session_id": 15912, "sequence_id": 382, "annotations": []}
{"role": "student", "content": "thanks! i do too", "session_id": 15912, "sequence_id": 383, "annotations": []}
{"role": "student", "content": "can you zoom in ?", "session_id": 15912, "sequence_id": 384, "annotations": []}
{"role": "student", "content": "yes! looks good", "session_id": 15912, "sequence_id": 385, "annotations": []}
{"role": "student", "content": "done!", "session_id": 15912, "sequence_id": 386, "annotations": []}
{"role": "volunteer", "content": "Good. How'd you do", "session_id": 15912, "sequence_id": 387, "annotations": []}
{"role": "student", "content": "idk if they are correct. they were moderate", "session_id": 15912, "sequence_id": 388, "annotations": []}
{"role": "volunteer", "content": "They were moderate, oh, and difficulty. Uh, we can check the first one.", "session_id": 15912, "sequence_id": 389, "annotations": []}
{"role": "volunteer", "content": "Did you get X over 2 + 1/4 2 X.", "session_id": 15912, "sequence_id": 390, "annotations": []}
{"role": "volunteer", "content": "s square", "session_id": 15912, "sequence_id": 391, "annotations": []}
{"role": "student", "content": "oh, no i forgot to divide by 2", "session_id": 15912, "sequence_id": 392, "annotations": []}
{"role": "volunteer", "content": "Yeah, 2 co-signs for X minus 1.", "session_id": 15912, "sequence_id": 393, "annotations": []}
{"role": "volunteer", "content": "Still good job though if they were only off by a factor of 5.", "session_id": 15912, "sequence_id": 394, "annotations": []}
{"role": "volunteer", "content": "Sorry.", "session_id": 15912, "sequence_id": 395, "annotations": []}
{"role": "volunteer", "content": "2", "session_id": 15912, "sequence_id": 396, "annotations": []}
{"role": "volunteer", "content": "an a factor of 5", "session_id": 15912, "sequence_id": 397, "annotations": []}
{"role": "student", "content": "factor of 2 i think?", "session_id": 15912, "sequence_id": 398, "annotations": []}
{"role": "volunteer", "content": "Oh, it is a factor of 2", "session_id": 15912, "sequence_id": 399, "annotations": []}
{"role": "volunteer", "content": "I don't know why it keeps", "session_id": 15912, "sequence_id": 400, "annotations": []}
{"role": "volunteer", "content": "saying 5 instead of half.", "session_id": 15912, "sequence_id": 401, "annotations": []}
{"role": "volunteer", "content": "Huh", "session_id": 15912, "sequence_id": 402, "annotations": []}
{"role": "student", "content": "i got this one wrong.", "session_id": 15912, "sequence_id": 403, "annotations": []}
{"role": "volunteer", "content": "Can you see the", "session_id": 15912, "sequence_id": 404, "annotations": []}
{"role": "volunteer", "content": "the UP bot when I type into it.", "session_id": 15912, "sequence_id": 405, "annotations": []}
{"role": "volunteer", "content": "It says that you should be able to.", "session_id": 15912, "sequence_id": 406, "annotations": []}
{"role": "volunteer", "content": "your student can see our chat and ask me questions too.", "session_id": 15912, "sequence_id": 407, "annotations": []}
{"role": "volunteer", "content": "It just solved the", "session_id": 15912, "sequence_id": 408, "annotations": []}
{"role": "volunteer", "content": "inner growl of cosine squared x.", "session_id": 15912, "sequence_id": 409, "annotations": []}
{"role": "volunteer", "content": "Smartypants", "session_id": 15912, "sequence_id": 410, "annotations": []}
{"role": "volunteer", "content": "chatbot showing off.", "session_id": 15912, "sequence_id": 411, "annotations": []}
{"role": "volunteer", "content": "You got the", "session_id": 15912, "sequence_id": 412, "annotations": []}
{"role": "student", "content": "I can't see", "session_id": 15912, "sequence_id": 413, "annotations": []}
{"role": "volunteer", "content": "you got the first example problem wrong, the cosine squared.", "session_id": 15912, "sequence_id": 414, "annotations": []}
{"role": "volunteer", "content": "Oh", "session_id": 15912, "sequence_id": 415, "annotations": []}
{"role": "student", "content": "yes!", "session_id": 15912, "sequence_id": 416, "annotations": []}
{"role": "volunteer", "content": "you can't see the", "session_id": 15912, "sequence_id": 417, "annotations": []}
{"role": "volunteer", "content": "chat, never mind then", "session_id": 15912, "sequence_id": 418, "annotations": []}
{"role": "volunteer", "content": "Did you want to go through it together", "session_id": 15912, "sequence_id": 419, "annotations": []}
{"role": "volunteer", "content": "Or was it just um", "session_id": 15912, "sequence_id": 420, "annotations": []}
{"role": "student", "content": "yeah!", "session_id": 15912, "sequence_id": 421, "annotations": []}
{"role": "volunteer", "content": "All right", "session_id": 15912, "sequence_id": 422, "annotations": []}
{"role": "volunteer", "content": "So", "session_id": 15912, "sequence_id": 423, "annotations": []}
{"role": "volunteer", "content": "oh, I see it on the board. I didn't see it.", "session_id": 15912, "sequence_id": 424, "annotations": []}
{"role": "volunteer", "content": "I'm sorry, I had the screen blocking the entire time.", "session_id": 15912, "sequence_id": 425, "annotations": []}
{"role": "volunteer", "content": "So you got one plus cosine 2 X.", "session_id": 15912, "sequence_id": 426, "annotations": []}
{"role": "volunteer", "content": "I think, I think you got the sign wrong. It should be 1 minus.", "session_id": 15912, "sequence_id": 427, "annotations": []}
{"role": "volunteer", "content": "Is it 1 plus?", "session_id": 15912, "sequence_id": 428, "annotations": []}
{"role": "volunteer", "content": "Yeah, I guess it is one plus", "session_id": 15912, "sequence_id": 429, "annotations": []}
{"role": "volunteer", "content": "then the half gets drawn out.", "session_id": 15912, "sequence_id": 430, "annotations": []}
{"role": "volunteer", "content": "I mean, you're off by 2, and then you skipped", "session_id": 15912, "sequence_id": 431, "annotations": []}
{"role": "volunteer", "content": "you skipped 22 should have been", "session_id": 15912, "sequence_id": 432, "annotations": []}
{"role": "volunteer", "content": "oh, I think he did them backwards", "session_id": 15912, "sequence_id": 433, "annotations": []}
{"role": "volunteer", "content": "Yeah, the second one should have been signed the third one is sine cube, but we can work on that.", "session_id": 15912, "sequence_id": 434, "annotations": []}
{"role": "student", "content": "i did 3 then 2", "session_id": 15912, "sequence_id": 435, "annotations": []}
{"role": "volunteer", "content": "So you have", "session_id": 15912, "sequence_id": 436, "annotations": []}
{"role": "volunteer", "content": "3 minus", "session_id": 15912, "sequence_id": 437, "annotations": []}
{"role": "volunteer", "content": "Oh, you actually wrote out the", "session_id": 15912, "sequence_id": 438, "annotations": []}
{"role": "volunteer", "content": "identity. You have 3 and 2, OK.", "session_id": 15912, "sequence_id": 439, "annotations": []}
{"role": "volunteer", "content": "Let's see", "session_id": 15912, "sequence_id": 440, "annotations": []}
{"role": "volunteer", "content": "well they use the identity as well.", "session_id": 15912, "sequence_id": 441, "annotations": []}
{"role": "volunteer", "content": "So yeah, 3/45 cosine x.", "session_id": 15912, "sequence_id": 442, "annotations": []}
{"role": "volunteer", "content": "Yeah, that's right", "session_id": 15912, "sequence_id": 443, "annotations": []}
{"role": "volunteer", "content": "And then question 2.", "session_id": 15912, "sequence_id": 444, "annotations": []}
{"role": "volunteer", "content": "Sign to like cosine 3X.", "session_id": 15912, "sequence_id": 445, "annotations": []}
{"role": "volunteer", "content": "times 2.", "session_id": 15912, "sequence_id": 446, "annotations": []}
{"role": "volunteer", "content": "Oh, you did 15 times 2. OK.", "session_id": 15912, "sequence_id": 447, "annotations": []}
{"role": "volunteer", "content": "Oh, I see what you did.", "session_id": 15912, "sequence_id": 448, "annotations": []}
{"role": "volunteer", "content": "Yeah, you got it right. Uh.", "session_id": 15912, "sequence_id": 449, "annotations": []}
{"role": "volunteer", "content": "You are very clever", "session_id": 15912, "sequence_id": 450, "annotations": []}
{"role": "student", "content": "\ud83c\udf8a", "session_id": 15912, "sequence_id": 451, "annotations": []}
{"role": "volunteer", "content": "I is notifications going on.", "session_id": 15912, "sequence_id": 452, "annotations": []}
{"role": "volunteer", "content": "Great job.", "session_id": 15912, "sequence_id": 453, "annotations": []}
{"role": "volunteer", "content": "Smarter than me.", "session_id": 15912, "sequence_id": 454, "annotations": []}
{"role": "student", "content": "thank you!\ud83d\ude05", "session_id": 15912, "sequence_id": 455, "annotations": []}
{"role": "volunteer", "content": "So it can be shown.", "session_id": 15912, "sequence_id": 456, "annotations": []}
{"role": "volunteer", "content": "Yeah, I don't know how much of a compliment that is.", "session_id": 15912, "sequence_id": 457, "annotations": []}
{"role": "volunteer", "content": "but to each their own. For me, it's a compliment. I hope it doesn't offend you.", "session_id": 15912, "sequence_id": 458, "annotations": []}
{"role": "volunteer", "content": "Uh.", "session_id": 15912, "sequence_id": 459, "annotations": []}
{"role": "volunteer", "content": "So a decent treatment there that both answers are.", "session_id": 15912, "sequence_id": 460, "annotations": []}
{"role": "volunteer", "content": "always talking about", "session_id": 15912, "sequence_id": 461, "annotations": []}
{"role": "volunteer", "content": "This was actually one of the um", "session_id": 15912, "sequence_id": 462, "annotations": []}
{"role": "volunteer", "content": "example problems from the previous chapter, something similar.", "session_id": 15912, "sequence_id": 463, "annotations": []}
{"role": "volunteer", "content": "which sine cubed, cosine squared.", "session_id": 15912, "sequence_id": 464, "annotations": []}
{"role": "student", "content": "i practiced these identity in trig a lot. so i kind of have them in mind", "session_id": 15912, "sequence_id": 465, "annotations": []}
{"role": "volunteer", "content": "You've done triple angles and", "session_id": 15912, "sequence_id": 466, "annotations": []}
{"role": "volunteer", "content": "other ones", "session_id": 15912, "sequence_id": 467, "annotations": []}
{"role": "volunteer", "content": "Cause those are typically aren't as memorized.", "session_id": 15912, "sequence_id": 468, "annotations": []}
{"role": "volunteer", "content": "aren't as well known, I'm sorry", "session_id": 15912, "sequence_id": 469, "annotations": []}
{"role": "student", "content": "I didn't memorize these. it's muscle memory lol", "session_id": 15912, "sequence_id": 470, "annotations": []}
{"role": "volunteer", "content": "Oh, OK", "session_id": 15912, "sequence_id": 471, "annotations": []}
{"role": "volunteer", "content": "Um, did you wanna do some actual exercises or kind of leave you on your own and we can just move on to um the next section of trig.", "session_id": 15912, "sequence_id": 472, "annotations": []}
{"role": "volunteer", "content": "which you should just kind of like,", "session_id": 15912, "sequence_id": 473, "annotations": []}
{"role": "volunteer", "content": "other, other integrals that you can kind of like just memorize.", "session_id": 15912, "sequence_id": 474, "annotations": []}
{"role": "student", "content": "let's do some hard ones", "session_id": 15912, "sequence_id": 475, "annotations": []}
{"role": "volunteer", "content": "I don't know how relevant they'd be", "session_id": 15912, "sequence_id": 476, "annotations": []}
{"role": "volunteer", "content": "You wanna do some hard ones", "session_id": 15912, "sequence_id": 477, "annotations": []}
{"role": "volunteer", "content": "Hm", "session_id": 15912, "sequence_id": 478, "annotations": []}
{"role": "student", "content": "then move on to next section. yeah", "session_id": 15912, "sequence_id": 479, "annotations": []}
{"role": "volunteer", "content": "That might be too easy.", "session_id": 15912, "sequence_id": 480, "annotations": []}
{"role": "volunteer", "content": "to incubed", "session_id": 15912, "sequence_id": 481, "annotations": []}
{"role": "volunteer", "content": "No, that's just the easy.", "session_id": 15912, "sequence_id": 482, "annotations": []}
{"role": "volunteer", "content": "substitution", "session_id": 15912, "sequence_id": 483, "annotations": []}
{"role": "volunteer", "content": "might pick, this might just be the integral of that.", "session_id": 15912, "sequence_id": 484, "annotations": []}
{"role": "volunteer", "content": "Um, let's see", "session_id": 15912, "sequence_id": 485, "annotations": []}
{"role": "volunteer", "content": "What do you think we can go with", "session_id": 15912, "sequence_id": 486, "annotations": []}
{"role": "volunteer", "content": "19.", "session_id": 15912, "sequence_id": 487, "annotations": []}
{"role": "volunteer", "content": "Oh, and 21", "session_id": 15912, "sequence_id": 488, "annotations": []}
{"role": "volunteer", "content": "So inverse", "session_id": 15912, "sequence_id": 489, "annotations": []}
{"role": "volunteer", "content": "Is that OK with you? Problems 19 and 21?", "session_id": 15912, "sequence_id": 490, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 15912, "sequence_id": 491, "annotations": []}
{"role": "student", "content": "can i try them first?", "session_id": 15912, "sequence_id": 492, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 15912, "sequence_id": 493, "annotations": []}
{"role": "volunteer", "content": "we can do them separately and then compare answers", "session_id": 15912, "sequence_id": 494, "annotations": []}
{"role": "student", "content": "ohh, sounds good!", "session_id": 15912, "sequence_id": 495, "annotations": []}
{"role": "student", "content": "is it cos^3 in 19?", "session_id": 15912, "sequence_id": 496, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 15912, "sequence_id": 497, "annotations": []}
{"role": "student", "content": "okay!", "session_id": 15912, "sequence_id": 498, "annotations": []}
{"role": "student", "content": "don't check answer right now", "session_id": 15912, "sequence_id": 499, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 15912, "sequence_id": 500, "annotations": []}
{"role": "student", "content": "can you give a little hint for 21?", "session_id": 15912, "sequence_id": 501, "annotations": []}
{"role": "volunteer", "content": "tbh I'm still working through it", "session_id": 15912, "sequence_id": 502, "annotations": []}
{"role": "volunteer", "content": "I haven't looked at the answer", "session_id": 15912, "sequence_id": 503, "annotations": []}
{"role": "student", "content": "oh, how did you start? did you let anything?", "session_id": 15912, "sequence_id": 504, "annotations": []}
{"role": "volunteer", "content": "I tried rewriting the inverse", "session_id": 15912, "sequence_id": 505, "annotations": []}
{"role": "student", "content": "how did you write the values for side?", "session_id": 15912, "sequence_id": 506, "annotations": []}
{"role": "volunteer", "content": "I'm not sure if it's actually gonna help though.", "session_id": 15912, "sequence_id": 507, "annotations": []}
{"role": "student", "content": "ohh okay! got it", "session_id": 15912, "sequence_id": 508, "annotations": []}
{"role": "volunteer", "content": "So it could be useless or not relevant.", "session_id": 15912, "sequence_id": 509, "annotations": []}
{"role": "student", "content": "let's see", "session_id": 15912, "sequence_id": 510, "annotations": []}
{"role": "volunteer", "content": "forgot square root", "session_id": 15912, "sequence_id": 511, "annotations": []}
{"role": "student", "content": "where?", "session_id": 15912, "sequence_id": 512, "annotations": []}
{"role": "student", "content": "ohh i see", "session_id": 15912, "sequence_id": 513, "annotations": []}
{"role": "student", "content": "right", "session_id": 15912, "sequence_id": 514, "annotations": []}
{"role": "student", "content": "I know how to do this, but i can't remember the right thing to let", "session_id": 15912, "sequence_id": 515, "annotations": []}
{"role": "volunteer", "content": "that's the tricky part", "session_id": 15912, "sequence_id": 516, "annotations": []}
{"role": "volunteer", "content": "That's why I said this stuff will come with time. Like it, like you know how to do it, but it's just like on the tip of your tongue.", "session_id": 15912, "sequence_id": 517, "annotations": []}
{"role": "volunteer", "content": "Man, this is a hard problem.", "session_id": 15912, "sequence_id": 518, "annotations": []}
{"role": "volunteer", "content": "It's like right there, but I just can't put my finger on it.", "session_id": 15912, "sequence_id": 519, "annotations": []}
{"role": "volunteer", "content": "So we know about theta and X is that they're", "session_id": 15912, "sequence_id": 520, "annotations": []}
{"role": "student", "content": "yeah, i just can't remember that. i almost got it", "session_id": 15912, "sequence_id": 521, "annotations": []}
{"role": "volunteer", "content": "phase shifted", "session_id": 15912, "sequence_id": 522, "annotations": []}
{"role": "volunteer", "content": "aren't so syax is equal to cosinax. I'm sorry, sin the as you go to cosinemax.", "session_id": 15912, "sequence_id": 523, "annotations": []}
{"role": "volunteer", "content": "and cosine data is equal to sin X.", "session_id": 15912, "sequence_id": 524, "annotations": []}
{"role": "volunteer", "content": "I wonder if we can use uh some", "session_id": 15912, "sequence_id": 525, "annotations": []}
{"role": "volunteer", "content": "and um", "session_id": 15912, "sequence_id": 526, "annotations": []}
{"role": "volunteer", "content": "some properties", "session_id": 15912, "sequence_id": 527, "annotations": []}
{"role": "volunteer", "content": "cause we know that", "session_id": 15912, "sequence_id": 528, "annotations": []}
{"role": "volunteer", "content": "cosine X", "session_id": 15912, "sequence_id": 529, "annotations": []}
{"role": "volunteer", "content": "is equal to, I'm sorry, we know that.", "session_id": 15912, "sequence_id": 530, "annotations": []}
{"role": "volunteer", "content": "cosine", "session_id": 15912, "sequence_id": 531, "annotations": []}
{"role": "volunteer", "content": "um let's just use X", "session_id": 15912, "sequence_id": 532, "annotations": []}
{"role": "volunteer", "content": "is equal to sin.", "session_id": 15912, "sequence_id": 533, "annotations": []}
{"role": "volunteer", "content": "X", "session_id": 15912, "sequence_id": 534, "annotations": []}
{"role": "volunteer", "content": "90 I think.", "session_id": 15912, "sequence_id": 535, "annotations": []}
{"role": "volunteer", "content": "or minus 90.", "session_id": 15912, "sequence_id": 536, "annotations": []}
{"role": "volunteer", "content": "I think that's true", "session_id": 15912, "sequence_id": 537, "annotations": []}
{"role": "volunteer", "content": "because that'd be sign X.", "session_id": 15912, "sequence_id": 538, "annotations": []}
{"role": "volunteer", "content": "times cosine of 2.", "session_id": 15912, "sequence_id": 539, "annotations": []}
{"role": "volunteer", "content": "minus", "session_id": 15912, "sequence_id": 540, "annotations": []}
{"role": "volunteer", "content": "cosine X.", "session_id": 15912, "sequence_id": 541, "annotations": []}
{"role": "volunteer", "content": "maybe.", "session_id": 15912, "sequence_id": 542, "annotations": []}
{"role": "volunteer", "content": "I guess it's pie, I guess it's plus plus 90.", "session_id": 15912, "sequence_id": 543, "annotations": []}
{"role": "volunteer", "content": "Does that help", "session_id": 15912, "sequence_id": 544, "annotations": []}
{"role": "volunteer", "content": "I think it does cause then that would rewrite the arc sign", "session_id": 15912, "sequence_id": 545, "annotations": []}
{"role": "volunteer", "content": "from cosine to sign.", "session_id": 15912, "sequence_id": 546, "annotations": []}
{"role": "volunteer", "content": "of X + 90.", "session_id": 15912, "sequence_id": 547, "annotations": []}
{"role": "volunteer", "content": "and then that will just become X + 90 or pie or 2 whatever.", "session_id": 15912, "sequence_id": 548, "annotations": []}
{"role": "volunteer", "content": "DX", "session_id": 15912, "sequence_id": 549, "annotations": []}
{"role": "volunteer", "content": "huh", "session_id": 15912, "sequence_id": 550, "annotations": []}
{"role": "volunteer", "content": "Is it really that simple", "session_id": 15912, "sequence_id": 551, "annotations": []}
{"role": "volunteer", "content": "I almost feel scared", "session_id": 15912, "sequence_id": 552, "annotations": []}
{"role": "volunteer", "content": "1/2 X. oh, I'm sorry, it's it.", "session_id": 15912, "sequence_id": 553, "annotations": []}
{"role": "volunteer", "content": "1/2 x 2 plus.", "session_id": 15912, "sequence_id": 554, "annotations": []}
{"role": "volunteer", "content": "i over 2", "session_id": 15912, "sequence_id": 555, "annotations": []}
{"role": "volunteer", "content": "X", "session_id": 15912, "sequence_id": 556, "annotations": []}
{"role": "volunteer", "content": "C", "session_id": 15912, "sequence_id": 557, "annotations": []}
{"role": "volunteer", "content": "that makes sense", "session_id": 15912, "sequence_id": 558, "annotations": []}
{"role": "volunteer", "content": "Does that make sense what I just did", "session_id": 15912, "sequence_id": 559, "annotations": []}
{"role": "volunteer", "content": "Can you see anything wrong? I can make it bigger.", "session_id": 15912, "sequence_id": 560, "annotations": []}
{"role": "volunteer", "content": "It just kind of scribbles.", "session_id": 15912, "sequence_id": 561, "annotations": []}
{"role": "student", "content": "no, I can see.", "session_id": 15912, "sequence_id": 562, "annotations": []}
{"role": "student", "content": "gimme a min", "session_id": 15912, "sequence_id": 563, "annotations": []}
{"role": "student", "content": "i can't understand this", "session_id": 15912, "sequence_id": 564, "annotations": []}
{"role": "volunteer", "content": "Oh yeah, I'm sorry. I was trying to do the um", "session_id": 15912, "sequence_id": 565, "annotations": []}
{"role": "volunteer", "content": "the summoned property. So sign, it's supposed to be signed.", "session_id": 15912, "sequence_id": 566, "annotations": []}
{"role": "volunteer", "content": "um", "session_id": 15912, "sequence_id": 567, "annotations": []}
{"role": "volunteer", "content": "A + B.", "session_id": 15912, "sequence_id": 568, "annotations": []}
{"role": "volunteer", "content": "where I said A is X and B is night is pirate 2, it should be pirate 299.", "session_id": 15912, "sequence_id": 569, "annotations": []}
{"role": "volunteer", "content": "To many scribbles. Let me try that again.", "session_id": 15912, "sequence_id": 570, "annotations": []}
{"role": "volunteer", "content": "Sign.", "session_id": 15912, "sequence_id": 571, "annotations": []}
{"role": "volunteer", "content": "I did X minus, I'll just use Pi too instead.", "session_id": 15912, "sequence_id": 572, "annotations": []}
{"role": "volunteer", "content": "I couldn't remember what the shift was.", "session_id": 15912, "sequence_id": 573, "annotations": []}
{"role": "volunteer", "content": "So I tried um", "session_id": 15912, "sequence_id": 574, "annotations": []}
{"role": "volunteer", "content": "theta plus", "session_id": 15912, "sequence_id": 575, "annotations": []}
{"role": "volunteer", "content": "Sine, cosine, cosign, sign.", "session_id": 15912, "sequence_id": 576, "annotations": []}
{"role": "volunteer", "content": "So we sign", "session_id": 15912, "sequence_id": 577, "annotations": []}
{"role": "volunteer", "content": "X cosine pi over 2.", "session_id": 15912, "sequence_id": 578, "annotations": []}
{"role": "volunteer", "content": "plus.", "session_id": 15912, "sequence_id": 579, "annotations": []}
{"role": "volunteer", "content": "cosine X sine i over 2, I ran in a room.", "session_id": 15912, "sequence_id": 580, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 15912, "sequence_id": 581, "annotations": []}
{"role": "volunteer", "content": "There we go", "session_id": 15912, "sequence_id": 582, "annotations": []}
{"role": "volunteer", "content": "And then cosiney 2 is 0, so you're just left with.", "session_id": 15912, "sequence_id": 583, "annotations": []}
{"role": "volunteer", "content": "cosine X. Sorry, I was just trying to prove, um,", "session_id": 15912, "sequence_id": 584, "annotations": []}
{"role": "volunteer", "content": "the relationship between", "session_id": 15912, "sequence_id": 585, "annotations": []}
{"role": "volunteer", "content": "sine and Cosina.", "session_id": 15912, "sequence_id": 586, "annotations": []}
{"role": "volunteer", "content": "And that um cosina and sinex are just face face shifted from each other.", "session_id": 15912, "sequence_id": 587, "annotations": []}
{"role": "volunteer", "content": "Sorry, phase", "session_id": 15912, "sequence_id": 588, "annotations": []}
{"role": "volunteer", "content": "You can't see that. Oh, I'm sorry. I keep forgetting you can't see that.", "session_id": 15912, "sequence_id": 589, "annotations": []}
{"role": "volunteer", "content": "do this", "session_id": 15912, "sequence_id": 590, "annotations": []}
{"role": "volunteer", "content": "Is that better", "session_id": 15912, "sequence_id": 591, "annotations": []}
{"role": "volunteer", "content": "Uh I really wrote small. I'm sorry.", "session_id": 15912, "sequence_id": 592, "annotations": []}
{"role": "student", "content": "oh okay, then you re write the equation?", "session_id": 15912, "sequence_id": 593, "annotations": []}
{"role": "volunteer", "content": "Yeah, and then at the bottom, I just, I, once I once I proved that cosine x is equal to sin of x + i over 2, I keep saying 90 should be pi over 2.", "session_id": 15912, "sequence_id": 594, "annotations": []}
{"role": "volunteer", "content": "Um, then I just substituted that back in for, you know, arc sign of sign, just canceled out.", "session_id": 15912, "sequence_id": 595, "annotations": []}
{"role": "student", "content": "\ud83d\ude26 it was this easy?", "session_id": 15912, "sequence_id": 596, "annotations": []}
{"role": "volunteer", "content": "Yeah, I'm almost", "session_id": 15912, "sequence_id": 597, "annotations": []}
{"role": "volunteer", "content": "I almost feel doubtful. It's OK if I look at the answers now?", "session_id": 15912, "sequence_id": 598, "annotations": []}
{"role": "volunteer", "content": "Huh, that is the answer.", "session_id": 15912, "sequence_id": 599, "annotations": []}
{"role": "volunteer", "content": "Though I got a negative somewhere wrong.", "session_id": 15912, "sequence_id": 600, "annotations": []}
{"role": "volunteer", "content": "Let me, um.", "session_id": 15912, "sequence_id": 601, "annotations": []}
{"role": "volunteer", "content": "Can you see it?", "session_id": 15912, "sequence_id": 602, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 15912, "sequence_id": 603, "annotations": []}
{"role": "volunteer", "content": "So I got", "session_id": 15912, "sequence_id": 604, "annotations": []}
{"role": "volunteer", "content": "I got the pie over 2 X, right? But I guess I got the negative", "session_id": 15912, "sequence_id": 605, "annotations": []}
{"role": "volunteer", "content": "x or 2. Where did they get the negative?", "session_id": 15912, "sequence_id": 606, "annotations": []}
{"role": "volunteer", "content": "Unless they did", "session_id": 15912, "sequence_id": 607, "annotations": []}
{"role": "volunteer", "content": "I think they did um", "session_id": 15912, "sequence_id": 608, "annotations": []}
{"role": "volunteer", "content": "sign of pie over 2 minus X.", "session_id": 15912, "sequence_id": 609, "annotations": []}
{"role": "volunteer", "content": "cause then that would cancel out too.", "session_id": 15912, "sequence_id": 610, "annotations": []}
{"role": "volunteer", "content": "But then I'd have to prove that cosine x is equal to sin of x, i over 2 minus X.", "session_id": 15912, "sequence_id": 611, "annotations": []}
{"role": "student", "content": "i think sin(x+90) should be -cosx?", "session_id": 15912, "sequence_id": 612, "annotations": []}
{"role": "volunteer", "content": "Is that right", "session_id": 15912, "sequence_id": 613, "annotations": []}
{"role": "volunteer", "content": "Would it", "session_id": 15912, "sequence_id": 614, "annotations": []}
{"role": "volunteer", "content": "do anything though? I feel like the negative should be within the phase shift.", "session_id": 15912, "sequence_id": 615, "annotations": []}
{"role": "volunteer", "content": "It would make the whole", "session_id": 15912, "sequence_id": 616, "annotations": []}
{"role": "volunteer", "content": "it would make the entire um", "session_id": 15912, "sequence_id": 617, "annotations": []}
{"role": "volunteer", "content": "thing be negative rather than just one of the values being negative.", "session_id": 15912, "sequence_id": 618, "annotations": []}
{"role": "student", "content": "oh no, that's wrong. you're right", "session_id": 15912, "sequence_id": 619, "annotations": []}
{"role": "volunteer", "content": "Anyway, looking at your 19, did you get 10 squared? I don't remember if you got 10 squared.", "session_id": 15912, "sequence_id": 620, "annotations": []}
{"role": "volunteer", "content": "You got seekin X", "session_id": 15912, "sequence_id": 621, "annotations": []}
{"role": "volunteer", "content": "log tangent you get express log tangent. So you get the log tangent, right, but you're missing the one half", "session_id": 15912, "sequence_id": 622, "annotations": []}
{"role": "volunteer", "content": "tangent square, which you got for sequent.", "session_id": 15912, "sequence_id": 623, "annotations": []}
{"role": "volunteer", "content": "We got to double back to that.", "session_id": 15912, "sequence_id": 624, "annotations": []}
{"role": "volunteer", "content": "Your work seems correct", "session_id": 15912, "sequence_id": 625, "annotations": []}
{"role": "volunteer", "content": "Oh, sorry, let's get back to 21.", "session_id": 15912, "sequence_id": 626, "annotations": []}
{"role": "volunteer", "content": "And let's prove 21.", "session_id": 15912, "sequence_id": 627, "annotations": []}
{"role": "volunteer", "content": "Um", "session_id": 15912, "sequence_id": 628, "annotations": []}
{"role": "volunteer", "content": "do you wanna work on 21 yourself? Just kind of prove where I went wrong.", "session_id": 15912, "sequence_id": 629, "annotations": []}
{"role": "volunteer", "content": "Or do you want to keep going through it together?", "session_id": 15912, "sequence_id": 630, "annotations": []}
{"role": "volunteer", "content": "Just to be honest, it's kind of helping my self-esteem after looking at your exam problems.", "session_id": 15912, "sequence_id": 631, "annotations": []}
{"role": "student", "content": "are you upset due to those problems?", "session_id": 15912, "sequence_id": 632, "annotations": []}
{"role": "volunteer", "content": "A little bit", "session_id": 15912, "sequence_id": 633, "annotations": []}
{"role": "volunteer", "content": "It may just be", "session_id": 15912, "sequence_id": 634, "annotations": []}
{"role": "volunteer", "content": "too early in the morning", "session_id": 15912, "sequence_id": 635, "annotations": []}
{"role": "volunteer", "content": "Not really, but", "session_id": 15912, "sequence_id": 636, "annotations": []}
{"role": "volunteer", "content": "um", "session_id": 15912, "sequence_id": 637, "annotations": []}
{"role": "volunteer", "content": "those are also on the tip of my tongue. I just", "session_id": 15912, "sequence_id": 638, "annotations": []}
{"role": "volunteer", "content": "anyway, I didn't, I didn't, um, I kind of followed you on the previous problem. I had no, I was so confused", "session_id": 15912, "sequence_id": 639, "annotations": []}
{"role": "volunteer", "content": "I've always struggled with the um", "session_id": 15912, "sequence_id": 640, "annotations": []}
{"role": "volunteer", "content": "with rig, uh", "session_id": 15912, "sequence_id": 641, "annotations": []}
{"role": "volunteer", "content": "with these kind of trigger identities", "session_id": 15912, "sequence_id": 642, "annotations": []}
{"role": "volunteer", "content": "or struggle is a strong word, but", "session_id": 15912, "sequence_id": 643, "annotations": []}
{"role": "volunteer", "content": "tougher than most", "session_id": 15912, "sequence_id": 644, "annotations": []}
{"role": "volunteer", "content": "I didn't really find any errors in your", "session_id": 15912, "sequence_id": 645, "annotations": []}
{"role": "volunteer", "content": "formulation for number 19.", "session_id": 15912, "sequence_id": 646, "annotations": []}
{"role": "volunteer", "content": "21. Let me", "session_id": 15912, "sequence_id": 647, "annotations": []}
{"role": "student", "content": "it's fine. there were easier problem too. you 'd plenty of them", "session_id": 15912, "sequence_id": 648, "annotations": []}
{"role": "volunteer", "content": "let me retry that property. So if we say sign of.", "session_id": 15912, "sequence_id": 649, "annotations": []}
{"role": "volunteer", "content": "you don't have to try to soothe my soap, my, my ego here. I'm fine.", "session_id": 15912, "sequence_id": 650, "annotations": []}
{"role": "volunteer", "content": "Um", "session_id": 15912, "sequence_id": 651, "annotations": []}
{"role": "volunteer", "content": "so they say 9, so you said 90, say pie or two.", "session_id": 15912, "sequence_id": 652, "annotations": []}
{"role": "volunteer", "content": "minus X Where does that come from?", "session_id": 15912, "sequence_id": 653, "annotations": []}
{"role": "volunteer", "content": "This would give us negative cosine.", "session_id": 15912, "sequence_id": 654, "annotations": []}
{"role": "volunteer", "content": "What about", "session_id": 15912, "sequence_id": 655, "annotations": []}
{"role": "volunteer", "content": "sign of", "session_id": 15912, "sequence_id": 656, "annotations": []}
{"role": "volunteer", "content": "X minus 52.", "session_id": 15912, "sequence_id": 657, "annotations": []}
{"role": "volunteer", "content": "This would also give us negative cosine.", "session_id": 15912, "sequence_id": 658, "annotations": []}
{"role": "volunteer", "content": "Does it though", "session_id": 15912, "sequence_id": 659, "annotations": []}
{"role": "volunteer", "content": "of course I your device.", "session_id": 15912, "sequence_id": 660, "annotations": []}
{"role": "volunteer", "content": "minus", "session_id": 15912, "sequence_id": 661, "annotations": []}
{"role": "student", "content": "no, really. my teacher said to us try to do easier problem, you won't able to finish all of them due to time.", "session_id": 15912, "sequence_id": 662, "annotations": []}
{"role": "volunteer", "content": "Oh, for the exam", "session_id": 15912, "sequence_id": 663, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 15912, "sequence_id": 664, "annotations": []}
{"role": "volunteer", "content": "That's basically what you do for the SATs as well. Anything that's timed really.", "session_id": 15912, "sequence_id": 665, "annotations": []}
{"role": "volunteer", "content": "You get the low hanging fruit, then you can focus on the harder problems.", "session_id": 15912, "sequence_id": 666, "annotations": []}
{"role": "volunteer", "content": "Um", "session_id": 15912, "sequence_id": 667, "annotations": []}
{"role": "volunteer", "content": "cosine is an even function.", "session_id": 15912, "sequence_id": 668, "annotations": []}
{"role": "volunteer", "content": "So this becomes", "session_id": 15912, "sequence_id": 669, "annotations": []}
{"role": "volunteer", "content": "one, so this just becomes cosine of X.", "session_id": 15912, "sequence_id": 670, "annotations": []}
{"role": "volunteer", "content": "and then co-sign 5 to 0.", "session_id": 15912, "sequence_id": 671, "annotations": []}
{"role": "volunteer", "content": "Huh", "session_id": 15912, "sequence_id": 672, "annotations": []}
{"role": "volunteer", "content": "So that's the identity. So I got it wrong.", "session_id": 15912, "sequence_id": 673, "annotations": []}
{"role": "volunteer", "content": "It's not", "session_id": 15912, "sequence_id": 674, "annotations": []}
{"role": "volunteer", "content": "um X + y or 2 should be 2 minus X.", "session_id": 15912, "sequence_id": 675, "annotations": []}
{"role": "student", "content": "i think both identities are right, but they went for second one.", "session_id": 15912, "sequence_id": 676, "annotations": []}
{"role": "volunteer", "content": "Oh yeah, you're right", "session_id": 15912, "sequence_id": 677, "annotations": []}
{"role": "volunteer", "content": "They're both right", "session_id": 15912, "sequence_id": 678, "annotations": []}
{"role": "volunteer", "content": "Well, there you go", "session_id": 15912, "sequence_id": 679, "annotations": []}
{"role": "volunteer", "content": "And I'm, I was", "session_id": 15912, "sequence_id": 680, "annotations": []}
{"role": "volunteer", "content": "also surprised on oak. Shoot, what was the page number again? It's like 32.", "session_id": 15912, "sequence_id": 681, "annotations": []}
{"role": "volunteer", "content": "Oh, so close", "session_id": 15912, "sequence_id": 682, "annotations": []}
{"role": "volunteer", "content": "Um, I was also surprised why there was only one", "session_id": 15912, "sequence_id": 683, "annotations": []}
{"role": "volunteer", "content": "inverse", "session_id": 15912, "sequence_id": 684, "annotations": []}
{"role": "volunteer", "content": "problem", "session_id": 15912, "sequence_id": 685, "annotations": []}
{"role": "volunteer", "content": "It was kind of, it, it kind of made it a little suspicious. I was like, are they just that difficult or are they that supposed to be easy?", "session_id": 15912, "sequence_id": 686, "annotations": []}
{"role": "volunteer", "content": "But it seemed it's more towards the", "session_id": 15912, "sequence_id": 687, "annotations": []}
{"role": "volunteer", "content": "easy side", "session_id": 15912, "sequence_id": 688, "annotations": []}
{"role": "volunteer", "content": "to me to scratch that. Let me not say that because this is a very, this is one problem out of, you know, however many difficult problems there are.", "session_id": 15912, "sequence_id": 689, "annotations": []}
{"role": "volunteer", "content": "may not generalize", "session_id": 15912, "sequence_id": 690, "annotations": []}
{"role": "volunteer", "content": "Let me not generalize.", "session_id": 15912, "sequence_id": 691, "annotations": []}
{"role": "student", "content": "there's another way to do it too. Gimme a min to think", "session_id": 15912, "sequence_id": 692, "annotations": []}
{"role": "volunteer", "content": "Oh, really? Oh, I wanna, I wanna see your", "session_id": 15912, "sequence_id": 693, "annotations": []}
{"role": "volunteer", "content": "Mm.", "session_id": 15912, "sequence_id": 694, "annotations": []}
{"role": "volunteer", "content": "live in this one.", "session_id": 15912, "sequence_id": 695, "annotations": []}
{"role": "volunteer", "content": "Oops sorry", "session_id": 15912, "sequence_id": 696, "annotations": []}
{"role": "student", "content": "im unable to remember it.", "session_id": 15912, "sequence_id": 697, "annotations": []}
{"role": "volunteer", "content": "What do you think it was?", "session_id": 15912, "sequence_id": 698, "annotations": []}
{"role": "volunteer", "content": "Or what did I have", "session_id": 15912, "sequence_id": 699, "annotations": []}
{"role": "volunteer", "content": "to do with", "session_id": 15912, "sequence_id": 700, "annotations": []}
{"role": "student", "content": "i think it was letting such cos theta = x", "session_id": 15912, "sequence_id": 701, "annotations": []}
{"role": "student", "content": "sin theta d theta = dx", "session_id": 15912, "sequence_id": 702, "annotations": []}
{"role": "volunteer", "content": "But then you'd be stuck with the extras sign the term.", "session_id": 15912, "sequence_id": 703, "annotations": []}
{"role": "volunteer", "content": "sine theta term.", "session_id": 15912, "sequence_id": 704, "annotations": []}
{"role": "volunteer", "content": "I saw you working earlier.", "session_id": 15912, "sequence_id": 705, "annotations": []}
{"role": "volunteer", "content": "You were um", "session_id": 15912, "sequence_id": 706, "annotations": []}
{"role": "volunteer", "content": "trying that approach, but it just kind of dead ends.", "session_id": 15912, "sequence_id": 707, "annotations": []}
{"role": "student", "content": "im not getting sin thetea in numerator", "session_id": 15912, "sequence_id": 708, "annotations": []}
{"role": "student", "content": "yeah, not seem to work", "session_id": 15912, "sequence_id": 709, "annotations": []}
{"role": "volunteer", "content": "Yeah, that's where I was getting stuck to.", "session_id": 15912, "sequence_id": 710, "annotations": []}
{"role": "volunteer", "content": "Um", "session_id": 15912, "sequence_id": 711, "annotations": []}
{"role": "volunteer", "content": "because once you have", "session_id": 15912, "sequence_id": 712, "annotations": []}
{"role": "volunteer", "content": "your, your parameter, your D parameter where you just say T equal to", "session_id": 15912, "sequence_id": 713, "annotations": []}
{"role": "volunteer", "content": "something", "session_id": 15912, "sequence_id": 714, "annotations": []}
{"role": "volunteer", "content": "DX", "session_id": 15912, "sequence_id": 715, "annotations": []}
{"role": "volunteer", "content": "If you can't rewrite this something in terms of tea.", "session_id": 15912, "sequence_id": 716, "annotations": []}
{"role": "volunteer", "content": "say GFT, then", "session_id": 15912, "sequence_id": 717, "annotations": []}
{"role": "volunteer", "content": "you can't really use it", "session_id": 15912, "sequence_id": 718, "annotations": []}
{"role": "volunteer", "content": "in your inner gra", "session_id": 15912, "sequence_id": 719, "annotations": []}
{"role": "volunteer", "content": "Ingra", "session_id": 15912, "sequence_id": 720, "annotations": []}
{"role": "student", "content": "yeah, right. we need dt", "session_id": 15912, "sequence_id": 721, "annotations": []}
{"role": "volunteer", "content": "right? And you need and you really need is um DX by itself.", "session_id": 15912, "sequence_id": 722, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 15912, "sequence_id": 723, "annotations": []}
{"role": "volunteer", "content": "because it becomes kind of useless.", "session_id": 15912, "sequence_id": 724, "annotations": []}
{"role": "volunteer", "content": "if you", "session_id": 15912, "sequence_id": 725, "annotations": []}
{"role": "volunteer", "content": "introduce this parameter term, but then you get stuck", "session_id": 15912, "sequence_id": 726, "annotations": []}
{"role": "volunteer", "content": "with some", "session_id": 15912, "sequence_id": 727, "annotations": []}
{"role": "volunteer", "content": "you know, original ex term inside your", "session_id": 15912, "sequence_id": 728, "annotations": []}
{"role": "volunteer", "content": "uh inner role when you have it defined as your parameter. Your parametric integration.", "session_id": 15912, "sequence_id": 729, "annotations": []}
{"role": "volunteer", "content": "And that's basically what the um", "session_id": 15912, "sequence_id": 730, "annotations": []}
{"role": "volunteer", "content": "not the next section, but the section after that integration by parts. That's when we start getting into", "session_id": 15912, "sequence_id": 731, "annotations": []}
{"role": "volunteer", "content": "um", "session_id": 15912, "sequence_id": 732, "annotations": []}
{"role": "volunteer", "content": "you know, how do we introduce", "session_id": 15912, "sequence_id": 733, "annotations": []}
{"role": "volunteer", "content": "you know, how do we deal with problems like that you can't just", "session_id": 15912, "sequence_id": 734, "annotations": []}
{"role": "volunteer", "content": "directly do", "session_id": 15912, "sequence_id": 735, "annotations": []}
{"role": "volunteer", "content": "one parameter.", "session_id": 15912, "sequence_id": 736, "annotations": []}
{"role": "volunteer", "content": "They would if you have to do, you have, would have to use two parameters instead.", "session_id": 15912, "sequence_id": 737, "annotations": []}
{"role": "volunteer", "content": "or more specifically, what if your um", "session_id": 15912, "sequence_id": 738, "annotations": []}
{"role": "volunteer", "content": "if you're integral kind of takes the form like X", "session_id": 15912, "sequence_id": 739, "annotations": []}
{"role": "volunteer", "content": "Y DY", "session_id": 15912, "sequence_id": 740, "annotations": []}
{"role": "volunteer", "content": "where you can create some separate um", "session_id": 15912, "sequence_id": 741, "annotations": []}
{"role": "volunteer", "content": "parameters to say U is equal to X.", "session_id": 15912, "sequence_id": 742, "annotations": []}
{"role": "volunteer", "content": "um, and YDY is equal to DV.", "session_id": 15912, "sequence_id": 743, "annotations": []}
{"role": "volunteer", "content": "Right? Cause you already know what this", "session_id": 15912, "sequence_id": 744, "annotations": []}
{"role": "volunteer", "content": "kind of like did this why crime and stuff is a derivative of.", "session_id": 15912, "sequence_id": 745, "annotations": []}
{"role": "volunteer", "content": "So you take the innergral of it", "session_id": 15912, "sequence_id": 746, "annotations": []}
{"role": "volunteer", "content": "I'm sorry, that's not right. That's", "session_id": 15912, "sequence_id": 747, "annotations": []}
{"role": "volunteer", "content": "we'll just wait till the section to get there.", "session_id": 15912, "sequence_id": 748, "annotations": []}
{"role": "volunteer", "content": "That's where it is supposed to be the integral of uv.", "session_id": 15912, "sequence_id": 749, "annotations": []}
{"role": "volunteer", "content": "That's what makes sense", "session_id": 15912, "sequence_id": 750, "annotations": []}
{"role": "volunteer", "content": "Yeah.", "session_id": 15912, "sequence_id": 751, "annotations": []}
{"role": "volunteer", "content": "where Y is some function of X.", "session_id": 15912, "sequence_id": 752, "annotations": []}
{"role": "volunteer", "content": "So that when you do this", "session_id": 15912, "sequence_id": 753, "annotations": []}
{"role": "volunteer", "content": "you get you equal to X.", "session_id": 15912, "sequence_id": 754, "annotations": []}
{"role": "volunteer", "content": "or, or whatever X term it is could be X and could be cosine x and then you have your own separate DUDX versus your second term, which we define as DV equals DY.", "session_id": 15912, "sequence_id": 755, "annotations": []}
{"role": "volunteer", "content": "Then you integrate that, you get V equal to Y of X.", "session_id": 15912, "sequence_id": 756, "annotations": []}
{"role": "volunteer", "content": "and then that has its own um kind of reverse chain rule.", "session_id": 15912, "sequence_id": 757, "annotations": []}
{"role": "volunteer", "content": "Um, it's proven, it'll, it'll show it that it proves that the, that the inner role", "session_id": 15912, "sequence_id": 758, "annotations": []}
{"role": "volunteer", "content": "of sort of um", "session_id": 15912, "sequence_id": 759, "annotations": []}
{"role": "volunteer", "content": "what is it? UDV.", "session_id": 15912, "sequence_id": 760, "annotations": []}
{"role": "volunteer", "content": "Yeah.", "session_id": 15912, "sequence_id": 761, "annotations": []}
{"role": "volunteer", "content": "is equal to", "session_id": 15912, "sequence_id": 762, "annotations": []}
{"role": "volunteer", "content": "UV +.", "session_id": 15912, "sequence_id": 763, "annotations": []}
{"role": "volunteer", "content": "the integral", "session_id": 15912, "sequence_id": 764, "annotations": []}
{"role": "volunteer", "content": "of VDU", "session_id": 15912, "sequence_id": 765, "annotations": []}
{"role": "volunteer", "content": "and this becomes like", "session_id": 15912, "sequence_id": 766, "annotations": []}
{"role": "volunteer", "content": "very important going on.", "session_id": 15912, "sequence_id": 767, "annotations": []}
{"role": "volunteer", "content": "this little property.", "session_id": 15912, "sequence_id": 768, "annotations": []}
{"role": "volunteer", "content": "because you're more likely to get problems, I think that, that you need", "session_id": 15912, "sequence_id": 769, "annotations": []}
{"role": "volunteer", "content": "um this sort of integration by parts", "session_id": 15912, "sequence_id": 770, "annotations": []}
{"role": "volunteer", "content": "then you will just a simple substitution.", "session_id": 15912, "sequence_id": 771, "annotations": []}
{"role": "volunteer", "content": "Anyway, um, hope I didn't lose you there.", "session_id": 15912, "sequence_id": 772, "annotations": []}
{"role": "volunteer", "content": "Hopefully you're still with me", "session_id": 15912, "sequence_id": 773, "annotations": []}
{"role": "student", "content": "im here. chat not working. i can hear you", "session_id": 15912, "sequence_id": 774, "annotations": []}
{"role": "volunteer", "content": "OK, good", "session_id": 15912, "sequence_id": 775, "annotations": []}
{"role": "volunteer", "content": "Um", "session_id": 15912, "sequence_id": 776, "annotations": []}
{"role": "volunteer", "content": "right, so we can move, um, are you OK with 7 section 7.3.", "session_id": 15912, "sequence_id": 777, "annotations": []}
{"role": "volunteer", "content": "with the um", "session_id": 15912, "sequence_id": 778, "annotations": []}
{"role": "volunteer", "content": "trigonometric for uh functions.", "session_id": 15912, "sequence_id": 779, "annotations": []}
{"role": "volunteer", "content": "identities", "session_id": 15912, "sequence_id": 780, "annotations": []}
{"role": "volunteer", "content": "You seem pretty strong in trig identities. This one was just more of a um", "session_id": 15912, "sequence_id": 781, "annotations": []}
{"role": "volunteer", "content": "just kind of remembering certain aspects, like certain identities.", "session_id": 15912, "sequence_id": 782, "annotations": []}
{"role": "volunteer", "content": "the phase shift and", "session_id": 15912, "sequence_id": 783, "annotations": []}
{"role": "student", "content": "yes! can we review #19, what was wrong with it?", "session_id": 15912, "sequence_id": 784, "annotations": []}
{"role": "volunteer", "content": "and how to do your, how to do your um inverse trig triangle.", "session_id": 15912, "sequence_id": 785, "annotations": []}
{"role": "volunteer", "content": "Oh yes, of course", "session_id": 15912, "sequence_id": 786, "annotations": []}
{"role": "volunteer", "content": "So", "session_id": 15912, "sequence_id": 787, "annotations": []}
{"role": "volunteer", "content": "let me clear this problem.", "session_id": 15912, "sequence_id": 788, "annotations": []}
{"role": "volunteer", "content": "So, 19, 1 over sign", "session_id": 15912, "sequence_id": 789, "annotations": []}
{"role": "volunteer", "content": "X cosine cut.", "session_id": 15912, "sequence_id": 790, "annotations": []}
{"role": "volunteer", "content": "X", "session_id": 15912, "sequence_id": 791, "annotations": []}
{"role": "volunteer", "content": "So, I see what you did. You divide, the first thing you did was to", "session_id": 15912, "sequence_id": 792, "annotations": []}
{"role": "volunteer", "content": "use the identity, um", "session_id": 15912, "sequence_id": 793, "annotations": []}
{"role": "volunteer", "content": "like the original tri I did a sin X square, sine square plus cosine squared equals 1 and you separated terms. That makes sense.", "session_id": 15912, "sequence_id": 794, "annotations": []}
{"role": "volunteer", "content": "Then you use substitution to solve the um", "session_id": 15912, "sequence_id": 795, "annotations": []}
{"role": "volunteer", "content": "kind of definite integral.", "session_id": 15912, "sequence_id": 796, "annotations": []}
{"role": "volunteer", "content": "which makes sense. It should just be C and D", "session_id": 15912, "sequence_id": 797, "annotations": []}
{"role": "student", "content": "ohh no! i just drag whole thing", "session_id": 15912, "sequence_id": 798, "annotations": []}
{"role": "volunteer", "content": "However", "session_id": 15912, "sequence_id": 799, "annotations": []}
{"role": "volunteer", "content": "well, you just dragged it where? You lost it?", "session_id": 15912, "sequence_id": 800, "annotations": []}
{"role": "volunteer", "content": "I still see it", "session_id": 15912, "sequence_id": 801, "annotations": []}
{"role": "volunteer", "content": "You, you probably hit undo", "session_id": 15912, "sequence_id": 802, "annotations": []}
{"role": "volunteer", "content": "Let me see if I can drag everything up.", "session_id": 15912, "sequence_id": 803, "annotations": []}
{"role": "volunteer", "content": "Yeah, I moved everything up.", "session_id": 15912, "sequence_id": 804, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 15912, "sequence_id": 805, "annotations": []}
{"role": "student", "content": "no, I mean like i didn't see tanxsecx", "session_id": 15912, "sequence_id": 806, "annotations": []}
{"role": "volunteer", "content": "Oh, I see what you're saying", "session_id": 15912, "sequence_id": 807, "annotations": []}
{"role": "volunteer", "content": "kind of the square root of", "session_id": 15912, "sequence_id": 808, "annotations": []}
{"role": "volunteer", "content": "the derivative of, um,", "session_id": 15912, "sequence_id": 809, "annotations": []}
{"role": "volunteer", "content": "Siganex. I'm pretty sure Seconex is just", "session_id": 15912, "sequence_id": 810, "annotations": []}
{"role": "volunteer", "content": "yeah, it's just Econex TNX.", "session_id": 15912, "sequence_id": 811, "annotations": []}
{"role": "volunteer", "content": "Is there a sign difference", "session_id": 15912, "sequence_id": 812, "annotations": []}
{"role": "volunteer", "content": "I mean, you proved the derivative of seinex tanix just by using your integration uh substitution, so that's fine.", "session_id": 15912, "sequence_id": 813, "annotations": []}
{"role": "volunteer", "content": "There's no.", "session_id": 15912, "sequence_id": 814, "annotations": []}
{"role": "volunteer", "content": "problem with that", "session_id": 15912, "sequence_id": 815, "annotations": []}
{"role": "volunteer", "content": "I just don't know where they got", "session_id": 15912, "sequence_id": 816, "annotations": []}
{"role": "volunteer", "content": "tan squared.", "session_id": 15912, "sequence_id": 817, "annotations": []}
{"role": "volunteer", "content": "1/2 10 squared. So they probably use the property.", "session_id": 15912, "sequence_id": 818, "annotations": []}
{"role": "volunteer", "content": "unless there's some tea.", "session_id": 15912, "sequence_id": 819, "annotations": []}
{"role": "volunteer", "content": "that they probably look, actually it looks like a", "session_id": 15912, "sequence_id": 820, "annotations": []}
{"role": "student", "content": "what's the answer?", "session_id": 15912, "sequence_id": 821, "annotations": []}
{"role": "volunteer", "content": "so you said sine makes you go to TE and sine X D X you go to negative BT.", "session_id": 15912, "sequence_id": 822, "annotations": []}
{"role": "volunteer", "content": "So they said", "session_id": 15912, "sequence_id": 823, "annotations": []}
{"role": "volunteer", "content": "oh sorry", "session_id": 15912, "sequence_id": 824, "annotations": []}
{"role": "volunteer", "content": "I'm not showing it", "session_id": 15912, "sequence_id": 825, "annotations": []}
{"role": "volunteer", "content": "Uh, let me show this to.", "session_id": 15912, "sequence_id": 826, "annotations": []}
{"role": "volunteer", "content": "Can you see it", "session_id": 15912, "sequence_id": 827, "annotations": []}
{"role": "volunteer", "content": "So I agree with you. I, I agree with them for the log tan. I don't know where they got the 1/10 squared.", "session_id": 15912, "sequence_id": 828, "annotations": []}
{"role": "student", "content": "right", "session_id": 15912, "sequence_id": 829, "annotations": []}
{"role": "volunteer", "content": "To, to be honest, that looks like a um", "session_id": 15912, "sequence_id": 830, "annotations": []}
{"role": "volunteer", "content": "uh, a trig identity.", "session_id": 15912, "sequence_id": 831, "annotations": []}
{"role": "volunteer", "content": "It could be", "session_id": 15912, "sequence_id": 832, "annotations": []}
{"role": "volunteer", "content": "kind of seek and squared plus 1 equals tangent squared, or it could be", "session_id": 15912, "sequence_id": 833, "annotations": []}
{"role": "volunteer", "content": "um", "session_id": 15912, "sequence_id": 834, "annotations": []}
{"role": "volunteer", "content": "kind of a half angle or double angle.", "session_id": 15912, "sequence_id": 835, "annotations": []}
{"role": "student", "content": "did you got the answer?", "session_id": 15912, "sequence_id": 836, "annotations": []}
{"role": "volunteer", "content": "No, I didn't.", "session_id": 15912, "sequence_id": 837, "annotations": []}
{"role": "volunteer", "content": "I'll be honest, I did not get it.", "session_id": 15912, "sequence_id": 838, "annotations": []}
{"role": "student", "content": "oh okay", "session_id": 15912, "sequence_id": 839, "annotations": []}
{"role": "volunteer", "content": "That's why I was getting a little frustrated. Uh", "session_id": 15912, "sequence_id": 840, "annotations": []}
{"role": "volunteer", "content": "I mean, you work", "session_id": 15912, "sequence_id": 841, "annotations": []}
{"role": "volunteer", "content": "is good", "session_id": 15912, "sequence_id": 842, "annotations": []}
{"role": "volunteer", "content": "one over.", "session_id": 15912, "sequence_id": 843, "annotations": []}
{"role": "student", "content": "i got it", "session_id": 15912, "sequence_id": 844, "annotations": []}
{"role": "volunteer", "content": "I, I", "session_id": 15912, "sequence_id": 845, "annotations": []}
{"role": "volunteer", "content": "cause one over", "session_id": 15912, "sequence_id": 846, "annotations": []}
{"role": "volunteer", "content": "signed one of sign cosine XL but I probably would have used 1/2 sign 2 theta 1 sine 2 x is what I was trying.", "session_id": 15912, "sequence_id": 847, "annotations": []}
{"role": "volunteer", "content": "I got stuck with cosine 2 theta.", "session_id": 15912, "sequence_id": 848, "annotations": []}
{"role": "volunteer", "content": "or cosine too, right, yeah, co-sequent.", "session_id": 15912, "sequence_id": 849, "annotations": []}
{"role": "volunteer", "content": "2 X", "session_id": 15912, "sequence_id": 850, "annotations": []}
{"role": "volunteer", "content": "D X", "session_id": 15912, "sequence_id": 851, "annotations": []}
{"role": "volunteer", "content": "which", "session_id": 15912, "sequence_id": 852, "annotations": []}
{"role": "volunteer", "content": "which the others, there is", "session_id": 15912, "sequence_id": 853, "annotations": []}
{"role": "volunteer", "content": "Yeah, hmm", "session_id": 15912, "sequence_id": 854, "annotations": []}
{"role": "volunteer", "content": "is a log of Marcus get X minus cotangent X.", "session_id": 15912, "sequence_id": 855, "annotations": [{"pii_type": "PERSON", "surrogate": "Marcus", "start": 12, "end": 18}]}
{"role": "volunteer", "content": "which wouldn't help us.", "session_id": 15912, "sequence_id": 856, "annotations": []}
{"role": "volunteer", "content": "TQ", "session_id": 15912, "sequence_id": 857, "annotations": []}
{"role": "volunteer", "content": "Oh, you're right", "session_id": 15912, "sequence_id": 858, "annotations": []}
{"role": "volunteer", "content": "It'd be 1/3 then", "session_id": 15912, "sequence_id": 859, "annotations": []}
{"role": "volunteer", "content": "or I'm sorry, -3", "session_id": 15912, "sequence_id": 860, "annotations": []}
{"role": "volunteer", "content": "No, you're right. I'm sorry", "session_id": 15912, "sequence_id": 861, "annotations": []}
{"role": "volunteer", "content": "Yeah, that's what it was", "session_id": 15912, "sequence_id": 862, "annotations": []}
{"role": "volunteer", "content": "Good catch", "session_id": 15912, "sequence_id": 863, "annotations": []}
{"role": "volunteer", "content": "I don't know why I didn't see it.", "session_id": 15912, "sequence_id": 864, "annotations": []}
{"role": "student", "content": "is that right now?", "session_id": 15912, "sequence_id": 865, "annotations": []}
{"role": "volunteer", "content": "Yeah, that's it. 1/2.", "session_id": 15912, "sequence_id": 866, "annotations": []}
{"role": "volunteer", "content": "Yeah, that's right.", "session_id": 15912, "sequence_id": 867, "annotations": []}
{"role": "volunteer", "content": "Wait, wait", "session_id": 15912, "sequence_id": 868, "annotations": []}
{"role": "volunteer", "content": "Yeah, cause they, the one", "session_id": 15912, "sequence_id": 869, "annotations": []}
{"role": "volunteer", "content": "the one gets included in the C, so that's right.", "session_id": 15912, "sequence_id": 870, "annotations": []}
{"role": "volunteer", "content": "All the constants just get thrown into the C term.", "session_id": 15912, "sequence_id": 871, "annotations": []}
{"role": "student", "content": "ohh", "session_id": 15912, "sequence_id": 872, "annotations": []}
{"role": "volunteer", "content": "All I care about is all you care about are the um X terms.", "session_id": 15912, "sequence_id": 873, "annotations": []}
{"role": "student", "content": "right", "session_id": 15912, "sequence_id": 874, "annotations": []}
{"role": "volunteer", "content": "cause the C is arbitrary", "session_id": 15912, "sequence_id": 875, "annotations": []}
{"role": "volunteer", "content": "without", "session_id": 15912, "sequence_id": 876, "annotations": []}
{"role": "volunteer", "content": "a specific point.", "session_id": 15912, "sequence_id": 877, "annotations": []}
{"role": "volunteer", "content": "on a function. It's arbitrary.", "session_id": 15912, "sequence_id": 878, "annotations": []}
{"role": "volunteer", "content": "or a range", "session_id": 15912, "sequence_id": 879, "annotations": []}
{"role": "volunteer", "content": "domain.", "session_id": 15912, "sequence_id": 880, "annotations": []}
{"role": "student", "content": "yeah, right", "session_id": 15912, "sequence_id": 881, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 15912, "sequence_id": 882, "annotations": []}
{"role": "volunteer", "content": "We got like", "session_id": 15912, "sequence_id": 883, "annotations": []}
{"role": "volunteer", "content": "15 minutes left.", "session_id": 15912, "sequence_id": 884, "annotations": []}
{"role": "volunteer", "content": "We can kind of ram through.", "session_id": 15912, "sequence_id": 885, "annotations": []}
{"role": "volunteer", "content": "not ram through, it's not, not the right term.", "session_id": 15912, "sequence_id": 886, "annotations": []}
{"role": "volunteer", "content": "We can address section 7.4 if you like, which just seems to be um", "session_id": 15912, "sequence_id": 887, "annotations": []}
{"role": "volunteer", "content": "some more memorization", "session_id": 15912, "sequence_id": 888, "annotations": []}
{"role": "volunteer", "content": "These examples you can kind of work through on your own, but look, they just, they just literally just give you a bunch of um", "session_id": 15912, "sequence_id": 889, "annotations": []}
{"role": "volunteer", "content": "you know, formulas to memorize.", "session_id": 15912, "sequence_id": 890, "annotations": []}
{"role": "volunteer", "content": "which I'm pretty, yeah, I'm pretty sure this is in that's inverse tangent, that's right.", "session_id": 15912, "sequence_id": 891, "annotations": []}
{"role": "volunteer", "content": "And then there's the inverse sign.", "session_id": 15912, "sequence_id": 892, "annotations": []}
{"role": "student", "content": "do i have to memorize them?", "session_id": 15912, "sequence_id": 893, "annotations": []}
{"role": "volunteer", "content": "You don't have to memorize them. They're typically like", "session_id": 15912, "sequence_id": 894, "annotations": []}
{"role": "volunteer", "content": "either in a textbook or you can just look them up.", "session_id": 15912, "sequence_id": 895, "annotations": []}
{"role": "volunteer", "content": "It's just good, it's just good to", "session_id": 15912, "sequence_id": 896, "annotations": []}
{"role": "volunteer", "content": "um", "session_id": 15912, "sequence_id": 897, "annotations": []}
{"role": "volunteer", "content": "be able to look at them and be like, hey, I think that's", "session_id": 15912, "sequence_id": 898, "annotations": []}
{"role": "volunteer", "content": "you know, if you're dealing with some", "session_id": 15912, "sequence_id": 899, "annotations": []}
{"role": "volunteer", "content": "ratio where you have x or some positive", "session_id": 15912, "sequence_id": 900, "annotations": []}
{"role": "volunteer", "content": "exponent in the bottom.", "session_id": 15912, "sequence_id": 901, "annotations": []}
{"role": "volunteer", "content": "with some um", "session_id": 15912, "sequence_id": 902, "annotations": []}
{"role": "volunteer", "content": "I forget what the term is.", "session_id": 15912, "sequence_id": 903, "annotations": []}
{"role": "volunteer", "content": "shift", "session_id": 15912, "sequence_id": 904, "annotations": []}
{"role": "volunteer", "content": "I mean, it could just be like x minus 3, that's still A could still um work that way.", "session_id": 15912, "sequence_id": 905, "annotations": []}
{"role": "volunteer", "content": "But it's just, it's just a way of knowing just like, hey, but this actually already has solutions.", "session_id": 15912, "sequence_id": 906, "annotations": []}
{"role": "volunteer", "content": "without you having to go through the whole um", "session_id": 15912, "sequence_id": 907, "annotations": []}
{"role": "volunteer", "content": "substitution, integration by substitution method.", "session_id": 15912, "sequence_id": 908, "annotations": []}
{"role": "volunteer", "content": "That's pretty much it", "session_id": 15912, "sequence_id": 909, "annotations": []}
{"role": "volunteer", "content": "which is a lot to say a little", "session_id": 15912, "sequence_id": 910, "annotations": []}
{"role": "student", "content": "okay, so i can solve without these formulas", "session_id": 15912, "sequence_id": 911, "annotations": []}
{"role": "volunteer", "content": "And then, oh, they actually used the", "session_id": 15912, "sequence_id": 912, "annotations": []}
{"role": "volunteer", "content": "innovation by part", "session_id": 15912, "sequence_id": 913, "annotations": []}
{"role": "volunteer", "content": "Yes", "session_id": 15912, "sequence_id": 914, "annotations": []}
{"role": "volunteer", "content": "All you care about is the results.", "session_id": 15912, "sequence_id": 915, "annotations": []}
{"role": "volunteer", "content": "right?", "session_id": 15912, "sequence_id": 916, "annotations": []}
{"role": "volunteer", "content": "That like the, the integral of one over x + a is just the inverse tangent.", "session_id": 15912, "sequence_id": 917, "annotations": []}
{"role": "volunteer", "content": "That's all you care about, um, stuff like that.", "session_id": 15912, "sequence_id": 918, "annotations": []}
{"role": "volunteer", "content": "Just like we used for the", "session_id": 15912, "sequence_id": 919, "annotations": []}
{"role": "volunteer", "content": "integra integral of like tangent and sequent. You didn't need to do it yourself. All you need to do is just be able to go back and refer to it. Like, basically like", "session_id": 15912, "sequence_id": 920, "annotations": []}
{"role": "volunteer", "content": "you gotta know when to use the tools.", "session_id": 15912, "sequence_id": 921, "annotations": []}
{"role": "volunteer", "content": "These, these are all just tools.", "session_id": 15912, "sequence_id": 922, "annotations": []}
{"role": "volunteer", "content": "You gotta know when to use it. That's the main thing, like the, the methodology, the process.", "session_id": 15912, "sequence_id": 923, "annotations": []}
{"role": "student", "content": "too much tools for small toolbox, they might drop out.", "session_id": 15912, "sequence_id": 924, "annotations": []}
{"role": "volunteer", "content": "when and how. I guess it's the best way to say it.", "session_id": 15912, "sequence_id": 925, "annotations": []}
{"role": "volunteer", "content": "This this is also true. This is why the textbooks are so thick.", "session_id": 15912, "sequence_id": 926, "annotations": []}
{"role": "volunteer", "content": "I mean, look at it, you have this this class 12 textbook had to be split in half and still the second book is still 540 pages. This is easily like", "session_id": 15912, "sequence_id": 927, "annotations": []}
{"role": "volunteer", "content": "700 pages of textbook.", "session_id": 15912, "sequence_id": 928, "annotations": []}
{"role": "volunteer", "content": "as a whole", "session_id": 15912, "sequence_id": 929, "annotations": []}
{"role": "volunteer", "content": "Um, I will say though, it is", "session_id": 15912, "sequence_id": 930, "annotations": []}
{"role": "volunteer", "content": "useful to know how to derive these, right, integration by substitution.", "session_id": 15912, "sequence_id": 931, "annotations": []}
{"role": "volunteer", "content": "just in case you um", "session_id": 15912, "sequence_id": 932, "annotations": []}
{"role": "volunteer", "content": "end up potentially get using um using it wrong, like getting the wrong answer somehow.", "session_id": 15912, "sequence_id": 933, "annotations": []}
{"role": "volunteer", "content": "Or more specifically, it'd be, it'd be say you're using it for data.", "session_id": 15912, "sequence_id": 934, "annotations": []}
{"role": "volunteer", "content": "and your data comes back very confusing.", "session_id": 15912, "sequence_id": 935, "annotations": []}
{"role": "volunteer", "content": "And sometimes you have to kind of go into the, get your hands dirty and do the integration yourself to kind of", "session_id": 15912, "sequence_id": 936, "annotations": []}
{"role": "volunteer", "content": "get the right formulation.", "session_id": 15912, "sequence_id": 937, "annotations": []}
{"role": "volunteer", "content": "which you may not be doing data analysis if you want to get in the in the", "session_id": 15912, "sequence_id": 938, "annotations": []}
{"role": "volunteer", "content": "cybersecurity, but um you never know.", "session_id": 15912, "sequence_id": 939, "annotations": []}
{"role": "volunteer", "content": "what skills you're gonna need until you need, until you're, until they ask you to use it.", "session_id": 15912, "sequence_id": 940, "annotations": []}
{"role": "volunteer", "content": "Oh", "session_id": 15912, "sequence_id": 941, "annotations": []}
{"role": "volunteer", "content": "control there", "session_id": 15912, "sequence_id": 942, "annotations": []}
{"role": "volunteer", "content": "Do you have something you're trying to say or you just", "session_id": 15912, "sequence_id": 943, "annotations": []}
{"role": "volunteer", "content": "says you're typing but it's been several minutes.", "session_id": 15912, "sequence_id": 944, "annotations": []}
{"role": "student", "content": "what? no, I didn't type anything", "session_id": 15912, "sequence_id": 945, "annotations": []}
{"role": "volunteer", "content": "Oh, I said that you were typing. That's why I was kind of waiting for you to", "session_id": 15912, "sequence_id": 946, "annotations": []}
{"role": "volunteer", "content": "anyway,", "session_id": 15912, "sequence_id": 947, "annotations": []}
{"role": "volunteer", "content": "um we can get back to it.", "session_id": 15912, "sequence_id": 948, "annotations": []}
{"role": "volunteer", "content": "So these are", "session_id": 15912, "sequence_id": 949, "annotations": []}
{"role": "volunteer", "content": "like I said, tools you can use and then we can kind of go.", "session_id": 15912, "sequence_id": 950, "annotations": []}
{"role": "volunteer", "content": "to the problem. I you're gonna need", "session_id": 15912, "sequence_id": 951, "annotations": []}
{"role": "volunteer", "content": "some of these tools, like for example, this", "session_id": 15912, "sequence_id": 952, "annotations": []}
{"role": "volunteer", "content": "is kind of important", "session_id": 15912, "sequence_id": 953, "annotations": []}
{"role": "volunteer", "content": "Uh", "session_id": 15912, "sequence_id": 954, "annotations": []}
{"role": "volunteer", "content": "to see what it is. I'll see it right the answer.", "session_id": 15912, "sequence_id": 955, "annotations": []}
{"role": "volunteer", "content": "reduced to the form 1/1TT. 0, it just says to use this form.", "session_id": 15912, "sequence_id": 956, "annotations": []}
{"role": "volunteer", "content": "um, by completing the square.", "session_id": 15912, "sequence_id": 957, "annotations": []}
{"role": "volunteer", "content": "So that makes sense", "session_id": 15912, "sequence_id": 958, "annotations": []}
{"role": "volunteer", "content": "but it's kind of ugly", "session_id": 15912, "sequence_id": 959, "annotations": []}
{"role": "volunteer", "content": "Um", "session_id": 15912, "sequence_id": 960, "annotations": []}
{"role": "volunteer", "content": "and then you have a square root", "session_id": 15912, "sequence_id": 961, "annotations": []}
{"role": "volunteer", "content": "mutan using a standard formulae.", "session_id": 15912, "sequence_id": 962, "annotations": []}
{"role": "volunteer", "content": "Oh, right, cause we have", "session_id": 15912, "sequence_id": 963, "annotations": []}
{"role": "volunteer", "content": "we have the solution for one over the square root of a binomial.", "session_id": 15912, "sequence_id": 964, "annotations": []}
{"role": "volunteer", "content": "which is something like this. Yeah, it's this one.", "session_id": 15912, "sequence_id": 965, "annotations": []}
{"role": "volunteer", "content": "Did you want to do some problems or do you want me to just kinda keep going through um", "session_id": 15912, "sequence_id": 966, "annotations": []}
{"role": "volunteer", "content": "each form of it", "session_id": 15912, "sequence_id": 967, "annotations": []}
{"role": "volunteer", "content": "So we can", "session_id": 15912, "sequence_id": 968, "annotations": []}
{"role": "volunteer", "content": "each", "session_id": 15912, "sequence_id": 969, "annotations": []}
{"role": "volunteer", "content": "yeah, plus C.", "session_id": 15912, "sequence_id": 970, "annotations": []}
{"role": "student", "content": "we have like 8 min left. we can't cover any topic rn", "session_id": 15912, "sequence_id": 971, "annotations": []}
{"role": "volunteer", "content": "That's also true. Um, hmm", "session_id": 15912, "sequence_id": 972, "annotations": []}
{"role": "volunteer", "content": "Do you have any more comments? I know that exam was brutal.", "session_id": 15912, "sequence_id": 973, "annotations": []}
{"role": "volunteer", "content": "Um", "session_id": 15912, "sequence_id": 974, "annotations": []}
{"role": "volunteer", "content": "Oh, how was your day going", "session_id": 15912, "sequence_id": 975, "annotations": []}
{"role": "volunteer", "content": "How is your day going?", "session_id": 15912, "sequence_id": 976, "annotations": []}
{"role": "student", "content": "I am heading over to kanji little bit", "session_id": 15912, "sequence_id": 977, "annotations": []}
{"role": "volunteer", "content": "Oh, we actually have that next or soon?", "session_id": 15912, "sequence_id": 978, "annotations": []}
{"role": "volunteer", "content": "You wanna", "session_id": 15912, "sequence_id": 979, "annotations": []}
{"role": "volunteer", "content": "kinda end it early then", "session_id": 15912, "sequence_id": 980, "annotations": []}
{"role": "volunteer", "content": "You really have enough time to cover anything.", "session_id": 15912, "sequence_id": 981, "annotations": []}
{"role": "volunteer", "content": "Um", "session_id": 15912, "sequence_id": 982, "annotations": []}
{"role": "volunteer", "content": "just kind of enjoy your day or", "session_id": 15912, "sequence_id": 983, "annotations": []}
{"role": "volunteer", "content": "hope the day gets better", "session_id": 15912, "sequence_id": 984, "annotations": []}
{"role": "volunteer", "content": "You was up early too.", "session_id": 15912, "sequence_id": 985, "annotations": []}
{"role": "student", "content": "yeah, Let's wrap up.", "session_id": 15912, "sequence_id": 986, "annotations": []}
{"role": "volunteer", "content": "All right, we're gonna wrap it up. Great job today.", "session_id": 15912, "sequence_id": 987, "annotations": []}
{"role": "volunteer", "content": "Um.", "session_id": 15912, "sequence_id": 988, "annotations": []}
{"role": "volunteer", "content": "you really had no", "session_id": 15912, "sequence_id": 989, "annotations": []}
{"role": "volunteer", "content": "issues with the questions other than", "session_id": 15912, "sequence_id": 990, "annotations": []}
{"role": "volunteer", "content": "the", "session_id": 15912, "sequence_id": 991, "annotations": []}
{"role": "volunteer", "content": "uh inverse trig", "session_id": 15912, "sequence_id": 992, "annotations": []}
{"role": "volunteer", "content": "which was just like, once you get the trick,", "session_id": 15912, "sequence_id": 993, "annotations": []}
{"role": "volunteer", "content": "that's it. You you can kind of get it, you can get the rest of them.", "session_id": 15912, "sequence_id": 994, "annotations": []}
{"role": "volunteer", "content": "just a skill", "session_id": 15912, "sequence_id": 995, "annotations": []}
{"role": "student", "content": "yeah, it slipped my mind so bad", "session_id": 15912, "sequence_id": 996, "annotations": []}
{"role": "volunteer", "content": "No, it's not that bad. It's", "session_id": 15912, "sequence_id": 997, "annotations": []}
{"role": "volunteer", "content": "you just had to prep for such an ordeal", "session_id": 15912, "sequence_id": 998, "annotations": []}
{"role": "volunteer", "content": "It's OK if one or two things slip.", "session_id": 15912, "sequence_id": 999, "annotations": []}
{"role": "volunteer", "content": "for something that's not being graded.", "session_id": 15912, "sequence_id": 1000, "annotations": []}
{"role": "student", "content": "im gonna take it again", "session_id": 15912, "sequence_id": 1001, "annotations": []}
{"role": "volunteer", "content": "Are you? When", "session_id": 15912, "sequence_id": 1002, "annotations": []}
{"role": "volunteer", "content": "They should have more practice tests, more prac I, I'm not used to seeing those kind of questions", "session_id": 15912, "sequence_id": 1003, "annotations": []}
{"role": "volunteer", "content": "to help prep you for him", "session_id": 15912, "sequence_id": 1004, "annotations": []}
{"role": "student", "content": "next year. I really want to pass it", "session_id": 15912, "sequence_id": 1005, "annotations": []}
{"role": "volunteer", "content": "Is it the exact same exam?", "session_id": 15912, "sequence_id": 1006, "annotations": []}
{"role": "student", "content": "it will be in march or april may be", "session_id": 15912, "sequence_id": 1007, "annotations": []}
{"role": "volunteer", "content": "I'm sorry", "session_id": 15912, "sequence_id": 1008, "annotations": []}
{"role": "student", "content": "yes!", "session_id": 15912, "sequence_id": 1009, "annotations": []}
{"role": "volunteer", "content": "March or April maybe. Um, is it not the exact same, I mean, um, same topics covered.", "session_id": 15912, "sequence_id": 1010, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 15912, "sequence_id": 1011, "annotations": []}
{"role": "volunteer", "content": "So we can kind of learn from this.", "session_id": 15912, "sequence_id": 1012, "annotations": []}
{"role": "volunteer", "content": "So when you say March, that's like 6 months away.", "session_id": 15912, "sequence_id": 1013, "annotations": []}
{"role": "volunteer", "content": "So we have half a year.", "session_id": 15912, "sequence_id": 1014, "annotations": []}
{"role": "volunteer", "content": "or a semester", "session_id": 15912, "sequence_id": 1015, "annotations": []}
{"role": "volunteer", "content": "Are you", "session_id": 15912, "sequence_id": 1016, "annotations": []}
{"role": "volunteer", "content": "um", "session_id": 15912, "sequence_id": 1017, "annotations": []}
{"role": "student", "content": "Yes! right.  I have to increase my speed solving questions", "session_id": 15912, "sequence_id": 1018, "annotations": []}
{"role": "volunteer", "content": "yeah, considering the type of problems you go through, like, I feel like the SATs will be like a breeze compared to it, compared to this.", "session_id": 15912, "sequence_id": 1019, "annotations": []}
{"role": "volunteer", "content": "cause SATs aren't as", "session_id": 15912, "sequence_id": 1020, "annotations": []}
{"role": "volunteer", "content": "um", "session_id": 15912, "sequence_id": 1021, "annotations": []}
{"role": "student", "content": "idk you never know", "session_id": 15912, "sequence_id": 1022, "annotations": []}
{"role": "volunteer", "content": "thought provoking. There, there are, not to say that there's no problems that aren't thought-provoking.", "session_id": 15912, "sequence_id": 1023, "annotations": []}
{"role": "volunteer", "content": "This is also true. I, I guess I don't want to give you", "session_id": 15912, "sequence_id": 1024, "annotations": []}
{"role": "volunteer", "content": "um, kind of a false sense of security.", "session_id": 15912, "sequence_id": 1025, "annotations": []}
{"role": "volunteer", "content": "Stay vigilant.", "session_id": 15912, "sequence_id": 1026, "annotations": []}
{"role": "volunteer", "content": "All right, I'll let you go", "session_id": 15912, "sequence_id": 1027, "annotations": []}
{"role": "volunteer", "content": "Have a great day", "session_id": 15912, "sequence_id": 1028, "annotations": []}
{"role": "student", "content": "yeah!", "session_id": 15912, "sequence_id": 1029, "annotations": []}
{"role": "student", "content": "have a good day.", "session_id": 15912, "sequence_id": 1030, "annotations": []}
{"role": "volunteer", "content": "Good", "session_id": 15912, "sequence_id": 1031, "annotations": []}
{"role": "volunteer", "content": "by e", "session_id": 15912, "sequence_id": 1032, "annotations": []}
{"role": "volunteer", "content": "Sayonara", "session_id": 15912, "sequence_id": 1033, "annotations": []}
{"role": "student", "content": "sayonara!", "session_id": 15912, "sequence_id": 1034, "annotations": []}
{"role": "volunteer", "content": "Sayonara", "session_id": 15912, "sequence_id": 1035, "annotations": []}
{"role": "volunteer", "content": "There you go.", "session_id": 15912, "sequence_id": 1036, "annotations": []}
{"role": "volunteer", "content": "ready", "session_id": 15912, "sequence_id": 1037, "annotations": []}
{"role": "student", "content": "Hii! sorry i missed your text. i over slept. you still there?", "session_id": 15912, "sequence_id": 1038, "annotations": []}
{"role": "volunteer", "content": "ywa", "session_id": 15912, "sequence_id": 1039, "annotations": []}
{"role": "student", "content": "okay, I need to wait 4 min before I start session.", "session_id": 15912, "sequence_id": 1040, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 15912, "sequence_id": 1041, "annotations": []}
{"role": "volunteer", "content": "Hi Clara! How are you? :)", "session_id": 15974, "sequence_id": 0, "annotations": [{"pii_type": "PERSON", "surrogate": "Clara", "start": 3, "end": 8}]}
{"role": "student", "content": "Good and you", "session_id": 15974, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "Good to hear! I'm also good, thanks! What can I help with today?", "session_id": 15974, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "2 3/5", "session_id": 15974, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "6 3/5", "session_id": 15974, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "\u00f7", "session_id": 15974, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "2 3/5 \u00f7 6 3/5 ?", "session_id": 15974, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 15974, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "Awesome! Let's work this problem out together.", "session_id": 15974, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "Ok", "session_id": 15974, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "So to make this easier we can convert these mixed numbers into fractions. Do you need me to walk you through doing that?", "session_id": 15974, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "*improper fractions", "session_id": 15974, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "Yes please ", "session_id": 15974, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "Sure! No problem.", "session_id": 15974, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "Ok thanks", "session_id": 15974, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "Ok so we have 2 wholes and 3/5 of another one for the first fraction", "session_id": 15974, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 15974, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "Do you remember the steps to change a mixed number into an improper fraction?", "session_id": 15974, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "Keep change flip?", "session_id": 15974, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "yes! We do use keep, change, flip for this problem. But first, we need to turn these back into improper fractions", "session_id": 15974, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "Ok", "session_id": 15974, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "Do you remember which one is the denominator and numerator? H", "session_id": 15974, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "One is the top and one is the bottom of a fraction!", "session_id": 15974, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "Numerator is top denominater is bottom", "session_id": 15974, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "Perfect!", "session_id": 15974, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "Thank you", "session_id": 15974, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "Mhm! First we need to Multiply the whole number (2) by the denominator (5)", "session_id": 15974, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "What would that be?", "session_id": 15974, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "10 + 1= 11", "session_id": 15974, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "Nope! 2 x 5?", "session_id": 15974, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": ":)", "session_id": 15974, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "10", "session_id": 15974, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "Perfect! And then add the numerator (3). What would that be?", "session_id": 15974, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "10 + numerator (3)", "session_id": 15974, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "13", "session_id": 15974, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "?", "session_id": 15974, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "Perfect! And then what's the denominator again?", "session_id": 15974, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "30", "session_id": 15974, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "Good try! Remember the denominator is the number on the bottom though!", "session_id": 15974, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "6 \u00d7 5= 30", "session_id": 15974, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "For the denominator on the improper fraction, we don't need to multiply :) You just switch the denominator over", "session_id": 15974, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "Like this!", "session_id": 15974, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "Does that make sense?", "session_id": 15974, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "I don't understand ", "session_id": 15974, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "Okay! One moment", "session_id": 15974, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "Ok", "session_id": 15974, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "\ud83d\ude04", "session_id": 15974, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "\u2764\ufe0f", "session_id": 15974, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": ":D", "session_id": 15974, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "Okay! Do you see what I wrote there?", "session_id": 15974, "sequence_id": 49, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 15974, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "That's how we make whole numbers into improper fractions!", "session_id": 15974, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "Ok", "session_id": 15974, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "If you write that down in your notes it'll help you to make improper fractions so we're able to divide them :D", "session_id": 15974, "sequence_id": 53, "annotations": []}
{"role": "student", "content": "Ok", "session_id": 15974, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "Okay! So now we have the first part but we still need to make 6 3/5 into an improper fraction before we can divide", "session_id": 15974, "sequence_id": 55, "annotations": []}
{"role": "student", "content": "Ok", "session_id": 15974, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "So remember we need to multiple the whole number by the denominator (bottom number)", "session_id": 15974, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "Can you do that for me? 6 x 5", "session_id": 15974, "sequence_id": 58, "annotations": []}
{"role": "student", "content": "30", "session_id": 15974, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "Awesome!", "session_id": 15974, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "And then what would that bottom number be?", "session_id": 15974, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "The denominator :)", "session_id": 15974, "sequence_id": 62, "annotations": []}
{"role": "student", "content": "5?", "session_id": 15974, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "Yes, perfect!", "session_id": 15974, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "Did that make sense?", "session_id": 15974, "sequence_id": 65, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 15974, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "Awesome!", "session_id": 15974, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "Okay! So do you know the next step? You mentioned it earlier! :)", "session_id": 15974, "sequence_id": 68, "annotations": []}
{"role": "student", "content": "Multiply both numbers", "session_id": 15974, "sequence_id": 69, "annotations": []}
{"role": "student", "content": "?", "session_id": 15974, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "Sort of, yes! But we need to keep, change, flip", "session_id": 15974, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "But yes, when we do the change, it changes to multiplication", "session_id": 15974, "sequence_id": 72, "annotations": []}
{"role": "student", "content": "Ok", "session_id": 15974, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "And then what do we do for the second fraction?", "session_id": 15974, "sequence_id": 74, "annotations": []}
{"role": "student", "content": "30/5", "session_id": 15974, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "But we need to flip! :)", "session_id": 15974, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "And don't forget about that 3 we added, so it's 33 !", "session_id": 15974, "sequence_id": 77, "annotations": []}
{"role": "student", "content": "Ok 5/30", "session_id": 15974, "sequence_id": 78, "annotations": []}
{"role": "student", "content": "33", "session_id": 15974, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "Yes! 5/33", "session_id": 15974, "sequence_id": 80, "annotations": []}
{"role": "volunteer", "content": "Awesome job!", "session_id": 15974, "sequence_id": 81, "annotations": []}
{"role": "student", "content": "Thank you", "session_id": 15974, "sequence_id": 82, "annotations": []}
{"role": "student", "content": "Thank you", "session_id": 15974, "sequence_id": 83, "annotations": []}
{"role": "volunteer", "content": "Now, we multiply! Do you know 13 x 5?", "session_id": 15974, "sequence_id": 84, "annotations": []}
{"role": "student", "content": "Orry", "session_id": 15974, "sequence_id": 85, "annotations": []}
{"role": "volunteer", "content": "No worries! :)", "session_id": 15974, "sequence_id": 86, "annotations": []}
{"role": "student", "content": "Sorry ", "session_id": 15974, "sequence_id": 87, "annotations": []}
{"role": "volunteer", "content": "Do you need some help with 13 x 5?", "session_id": 15974, "sequence_id": 88, "annotations": []}
{"role": "volunteer", "content": ":)", "session_id": 15974, "sequence_id": 89, "annotations": []}
{"role": "student", "content": "65", "session_id": 15974, "sequence_id": 90, "annotations": []}
{"role": "volunteer", "content": "Perfect! And then 5 x 33?", "session_id": 15974, "sequence_id": 91, "annotations": []}
{"role": "student", "content": "165", "session_id": 15974, "sequence_id": 92, "annotations": []}
{"role": "volunteer", "content": "Amazing, yes!", "session_id": 15974, "sequence_id": 93, "annotations": []}
{"role": "student", "content": "Nice", "session_id": 15974, "sequence_id": 94, "annotations": []}
{"role": "volunteer", "content": "Do you know the last step? :)", "session_id": 15974, "sequence_id": 95, "annotations": []}
{"role": "volunteer", "content": "It's usually the final step when it comes to fractions! ;)", "session_id": 15974, "sequence_id": 96, "annotations": []}
{"role": "student", "content": "Add?", "session_id": 15974, "sequence_id": 97, "annotations": []}
{"role": "volunteer", "content": "Close!", "session_id": 15974, "sequence_id": 98, "annotations": []}
{"role": "volunteer", "content": "Starts with an S!", "session_id": 15974, "sequence_id": 99, "annotations": []}
{"role": "student", "content": "Subtract", "session_id": 15974, "sequence_id": 100, "annotations": []}
{"role": "student", "content": "?", "session_id": 15974, "sequence_id": 101, "annotations": []}
{"role": "volunteer", "content": "Also super close! But it's simplify!", "session_id": 15974, "sequence_id": 102, "annotations": []}
{"role": "student", "content": "Ok", "session_id": 15974, "sequence_id": 103, "annotations": []}
{"role": "volunteer", "content": "Do you know how we would simplify 65/165?", "session_id": 15974, "sequence_id": 104, "annotations": []}
{"role": "student", "content": "No", "session_id": 15974, "sequence_id": 105, "annotations": []}
{"role": "volunteer", "content": "No worries!", "session_id": 15974, "sequence_id": 106, "annotations": []}
{"role": "volunteer", "content": "I can walk you through it!", "session_id": 15974, "sequence_id": 107, "annotations": []}
{"role": "student", "content": "How do you simplify things ", "session_id": 15974, "sequence_id": 108, "annotations": []}
{"role": "student", "content": "Ok", "session_id": 15974, "sequence_id": 109, "annotations": []}
{"role": "volunteer", "content": "We need to find the greatest common factor (GCF) of 65 and 165", "session_id": 15974, "sequence_id": 110, "annotations": []}
{"role": "volunteer", "content": "Do you know the factors of 65?", "session_id": 15974, "sequence_id": 111, "annotations": []}
{"role": "student", "content": "No", "session_id": 15974, "sequence_id": 112, "annotations": []}
{"role": "student", "content": "5?", "session_id": 15974, "sequence_id": 113, "annotations": []}
{"role": "volunteer", "content": "Yes! 5 would be the GCF of 65", "session_id": 15974, "sequence_id": 114, "annotations": []}
{"role": "student", "content": "Ok", "session_id": 15974, "sequence_id": 115, "annotations": []}
{"role": "volunteer", "content": "What about the GCF of 165?", "session_id": 15974, "sequence_id": 116, "annotations": []}
{"role": "student", "content": "14?", "session_id": 15974, "sequence_id": 117, "annotations": []}
{"role": "volunteer", "content": "Close! It's a pretty small number", "session_id": 15974, "sequence_id": 118, "annotations": []}
{"role": "student", "content": "Im", "session_id": 15974, "sequence_id": 119, "annotations": []}
{"role": "volunteer", "content": "Factors of 165: 1,3,5,11,15,33,55,165", "session_id": 15974, "sequence_id": 120, "annotations": []}
{"role": "volunteer", "content": "Which one does it have in common with 65?", "session_id": 15974, "sequence_id": 121, "annotations": []}
{"role": "student", "content": "Oh", "session_id": 15974, "sequence_id": 122, "annotations": []}
{"role": "student", "content": "164", "session_id": 15974, "sequence_id": 123, "annotations": []}
{"role": "student", "content": "165", "session_id": 15974, "sequence_id": 124, "annotations": []}
{"role": "student", "content": "Sorry ", "session_id": 15974, "sequence_id": 125, "annotations": []}
{"role": "volunteer", "content": "Nope! 165 isn't a factor of 65, but close!", "session_id": 15974, "sequence_id": 126, "annotations": []}
{"role": "student", "content": "Oh", "session_id": 15974, "sequence_id": 127, "annotations": []}
{"role": "volunteer", "content": "No worries! Out of these, which number do you see in both", "session_id": 15974, "sequence_id": 128, "annotations": []}
{"role": "volunteer", "content": "Factors of 65: 1,5,13, 65\nFactors of 165: 1,3,5,11,15,33,55,165", "session_id": 15974, "sequence_id": 129, "annotations": []}
{"role": "student", "content": "66", "session_id": 15974, "sequence_id": 130, "annotations": []}
{"role": "student", "content": "65", "session_id": 15974, "sequence_id": 131, "annotations": []}
{"role": "volunteer", "content": "Close! But 65 isn't a factor of 165", "session_id": 15974, "sequence_id": 132, "annotations": []}
{"role": "student", "content": "5", "session_id": 15974, "sequence_id": 133, "annotations": []}
{"role": "volunteer", "content": "Yes!!", "session_id": 15974, "sequence_id": 134, "annotations": []}
{"role": "volunteer", "content": "So we need to divide 5 by both numerator and denominator", "session_id": 15974, "sequence_id": 135, "annotations": []}
{"role": "student", "content": "Ok", "session_id": 15974, "sequence_id": 136, "annotations": []}
{"role": "volunteer", "content": "Can you do 65 divided by 5?", "session_id": 15974, "sequence_id": 137, "annotations": []}
{"role": "student", "content": "11", "session_id": 15974, "sequence_id": 138, "annotations": []}
{"role": "volunteer", "content": "Aka how many times does 5 go into 65!", "session_id": 15974, "sequence_id": 139, "annotations": []}
{"role": "volunteer", "content": "Close!", "session_id": 15974, "sequence_id": 140, "annotations": []}
{"role": "volunteer", "content": "Try one more time :)", "session_id": 15974, "sequence_id": 141, "annotations": []}
{"role": "student", "content": "13", "session_id": 15974, "sequence_id": 142, "annotations": []}
{"role": "volunteer", "content": "Yes! Now can you do the same with 165 divided by 5? :)", "session_id": 15974, "sequence_id": 143, "annotations": []}
{"role": "student", "content": "33", "session_id": 15974, "sequence_id": 144, "annotations": []}
{"role": "volunteer", "content": "Yes!!", "session_id": 15974, "sequence_id": 145, "annotations": []}
{"role": "student", "content": "Ok", "session_id": 15974, "sequence_id": 146, "annotations": []}
{"role": "volunteer", "content": "You did it! That's your final answer :)", "session_id": 15974, "sequence_id": 147, "annotations": []}
{"role": "student", "content": "Ok thank you", "session_id": 15974, "sequence_id": 148, "annotations": []}
{"role": "volunteer", "content": "Of course! Is that all for right now?", "session_id": 15974, "sequence_id": 149, "annotations": []}
{"role": "student", "content": "\u2764\ufe0f\u200d\ud83d\udd25\u2764\ufe0f\u200d\ud83e\ude79\u2764\ufe0f", "session_id": 15974, "sequence_id": 150, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 15974, "sequence_id": 151, "annotations": []}
{"role": "volunteer", "content": "Awesome! Have a great rest of your night, and feel free to request another session if you have any other questions! Great work!", "session_id": 15974, "sequence_id": 152, "annotations": []}
{"role": "student", "content": "Bye \ud83d\udc4b  thank you", "session_id": 15974, "sequence_id": 153, "annotations": []}
{"role": "volunteer", "content": "Anytime!!", "session_id": 15974, "sequence_id": 154, "annotations": []}
{"role": "volunteer", "content": "Hello How are you?", "session_id": 16108, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "hi doing good needed some help with problems", "session_id": 16108, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "OK Do u know there was famous Greek named Euclid?", "session_id": 16108, "sequence_id": 2, "annotations": [{"pii_type": "NRP", "surrogate": "Greek", "start": 30, "end": 35}, {"pii_type": "PERSON", "surrogate": "Euclid", "start": 42, "end": 48}]}
{"role": "student", "content": "no", "session_id": 16108, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "I will look for a link later.", "session_id": 16108, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "How can I help now?", "session_id": 16108, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "limits help", "session_id": 16108, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "OK I will copy to my second screen Pls wait", "session_id": 16108, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "OK Where should we start?", "session_id": 16108, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "part a", "session_id": 16108, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "OK do u know any rules for limits? Like a product of l;imits etc?", "session_id": 16108, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "not really", "session_id": 16108, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "OK wait I see", "session_id": 16108, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "it metniones the queeze theorem", "session_id": 16108, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "So I think u need to use that", "session_id": 16108, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "What can u tell me about that theorem?", "session_id": 16108, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "not sure what that is", "session_id": 16108, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "OK I will look it up and u shoudl too BUT first", "session_id": 16108, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "I will tell you what I *think* it means here", "session_id": 16108, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "what is max vlaue of x)?", "session_id": 16108, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "1", "session_id": 16108, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "OK and the min value of x)?", "session_id": 16108, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "-1", "session_id": 16108, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "OK so I *think we can say that out limit here is between the linit for -5x^2  and +5x^2 do u see why?", "session_id": 16108, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "our*", "session_id": 16108, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "yes", "session_id": 16108, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 16108, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "now what are bot of those limtis (I mean lim x -> 0 for -5x^2 and for 5x^2)?", "session_id": 16108, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "both*", "session_id": 16108, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "do i just substitute", "session_id": 16108, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "Yes for this oen yes", "session_id": 16108, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "ok now wait", "session_id": 16108, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "I think we do not the sine and here is  why I think that", "session_id": 16108, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "we know that the vlaue is squeezed between -5x^2 and 5x^2 See what I mean?", "session_id": 16108, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "yes", "session_id": 16108, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "and since the limits of those two without the sin are zero I *think* we can say that our limit is too.", "session_id": 16108, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "Now we each need to look up the squeeze theorem.", "session_id": 16108, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "It has soem other names too, but too maybe the pinch theorem", "session_id": 16108, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "Here is a video maybe you can look at it later:", "session_id": 16108, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "https://www.youtube.com/watch?v=some_math_video", "session_id": 16108, "sequence_id": 39, "annotations": [{"pii_type": "URL", "surrogate": "https://www.youtube.com/watch?v=some_math_video", "start": 0, "end": 47}]}
{"role": "student", "content": "thanks", "session_id": 16108, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "I have *not* yet looked at it but I trsut https://www.khanacademy.org/math/calculus/limits-and-continuity/squeeze-theorem/v/squeeze-theorem-intro", "session_id": 16108, "sequence_id": 41, "annotations": [{"pii_type": "URL", "surrogate": "https://www.khanacademy.org/math/calculus/limits-and-continuity/squeeze-theorem/v/squeeze-theorem-intro", "start": 42, "end": 145}]}
{"role": "volunteer", "content": "should we try b now?", "session_id": 16108, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "yes", "session_id": 16108, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "One commetn first", "session_id": 16108, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "you see we know that the lim in a is between -5x^2 and 5x^2 because the min vlaue for sin -1 and the max is 1 OK?", "session_id": 16108, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "got it", "session_id": 16108, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "OK I will ook at b now", "session_id": 16108, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "IMO b is quite simialr", "session_id": 16108, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "can u explain it?", "session_id": 16108, "sequence_id": 49, "annotations": []}
{"role": "student", "content": "is it between -3 and 3", "session_id": 16108, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 16108, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "I am looking in a book pls wait", "session_id": 16108, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "I will type on the board oK?", "session_id": 16108, "sequence_id": 53, "annotations": []}
{"role": "student", "content": "ok", "session_id": 16108, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "see that so far?", "session_id": 16108, "sequence_id": 55, "annotations": []}
{"role": "student", "content": "not really", "session_id": 16108, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "does that help?", "session_id": 16108, "sequence_id": 57, "annotations": []}
{"role": "student", "content": "yes", "session_id": 16108, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "OK so for b, x -> 0", "session_id": 16108, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "and can u tell what g(x) and h(x) are?", "session_id": 16108, "sequence_id": 60, "annotations": []}
{"role": "student", "content": "3x amd cps 2/x", "session_id": 16108, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "Student", "session_id": 16108, "sequence_id": 62, "annotations": [{"pii_type": "PERSON", "surrogate": "Student", "start": 0, "end": 7}]}
{"role": "volunteer", "content": "what does cps mean?", "session_id": 16108, "sequence_id": 63, "annotations": []}
{"role": "student", "content": "*cos", "session_id": 16108, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "I somewhat disagree", "session_id": 16108, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "I think g(x) = -3x and h(x) = 3x", "session_id": 16108, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "AND", "session_id": 16108, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "f(x) x*cox(2/x)", "session_id": 16108, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "does that help?", "session_id": 16108, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "i mean f(x) =", "session_id": 16108, "sequence_id": 70, "annotations": []}
{"role": "student", "content": "oh ok", "session_id": 16108, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "3x*cos(2/x)", "session_id": 16108, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "so we have -3x <= 3xcos(2/x) <= 3x", "session_id": 16108, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "we know that because cos max is 1 and cos min is -1", "session_id": 16108, "sequence_id": 74, "annotations": []}
{"role": "student", "content": "ok", "session_id": 16108, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "and what is the lim x-> 0 of -3x ?", "session_id": 16108, "sequence_id": 76, "annotations": []}
{"role": "student", "content": "am i substituting -3(0)cost (2/0)?", "session_id": 16108, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "no u just sub 0 in 3x", "session_id": 16108, "sequence_id": 78, "annotations": []}
{"role": "student", "content": "0", "session_id": 16108, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "ok good and what abot  lim x-> 0 of 3x ?", "session_id": 16108, "sequence_id": 80, "annotations": []}
{"role": "student", "content": "0", "session_id": 16108, "sequence_id": 81, "annotations": []}
{"role": "volunteer", "content": "good", "session_id": 16108, "sequence_id": 82, "annotations": []}
{"role": "volunteer", "content": "so limx->0 3x*cos(2/x) is smadwiched between 0 and 0 !!!!", "session_id": 16108, "sequence_id": 83, "annotations": []}
{"role": "volunteer", "content": "Good Yes", "session_id": 16108, "sequence_id": 84, "annotations": []}
{"role": "volunteer", "content": "I see what you wrote", "session_id": 16108, "sequence_id": 85, "annotations": []}
{"role": "volunteer", "content": "I will cricle in green and blue", "session_id": 16108, "sequence_id": 86, "annotations": []}
{"role": "volunteer", "content": "The limit we want is squeezed between the green and blue limits See whagt I mean?", "session_id": 16108, "sequence_id": 87, "annotations": []}
{"role": "student", "content": "so we just substite 0 for both expressions", "session_id": 16108, "sequence_id": 88, "annotations": []}
{"role": "volunteer", "content": "yes the green and blue are quite simple functions and for *those* we can jsut sub", "session_id": 16108, "sequence_id": 89, "annotations": []}
{"role": "volunteer", "content": "Student is not always true but it *is* true here", "session_id": 16108, "sequence_id": 90, "annotations": [{"pii_type": "PERSON", "surrogate": "Student", "start": 0, "end": 7}]}
{"role": "student", "content": "how to approach part c", "session_id": 16108, "sequence_id": 91, "annotations": []}
{"role": "volunteer", "content": "OK I will read it pls wait", "session_id": 16108, "sequence_id": 92, "annotations": []}
{"role": "volunteer", "content": "Interesting I am not sure but here is how I would start", "session_id": 16108, "sequence_id": 93, "annotations": []}
{"role": "volunteer", "content": "sub x = 1 for g(x) = x^3 - 3x +4", "session_id": 16108, "sequence_id": 94, "annotations": []}
{"role": "volunteer", "content": "and also in h(x) = -3x^2 +6x -1 OK?", "session_id": 16108, "sequence_id": 95, "annotations": []}
{"role": "volunteer", "content": "OK that is good for the left (g(x))", "session_id": 16108, "sequence_id": 96, "annotations": []}
{"role": "volunteer", "content": "ok so f(x) is squeezed (or sandwiche) between 2 and 2 !", "session_id": 16108, "sequence_id": 97, "annotations": []}
{"role": "volunteer", "content": "and those 2 and 2 are the limits for g(x) and h(x) so what do u think?", "session_id": 16108, "sequence_id": 98, "annotations": []}
{"role": "student", "content": "makes sense", "session_id": 16108, "sequence_id": 99, "annotations": []}
{"role": "volunteer", "content": "so what is lim x -> 1 for f(x)?", "session_id": 16108, "sequence_id": 100, "annotations": []}
{"role": "student", "content": "2", "session_id": 16108, "sequence_id": 101, "annotations": []}
{"role": "volunteer", "content": "I agree", "session_id": 16108, "sequence_id": 102, "annotations": []}
{"role": "volunteer", "content": "Now I am not sure why they give the interval you might chk with your tchr about that", "session_id": 16108, "sequence_id": 103, "annotations": []}
{"role": "student", "content": "ok", "session_id": 16108, "sequence_id": 104, "annotations": []}
{"role": "volunteer", "content": "Is this helping?", "session_id": 16108, "sequence_id": 105, "annotations": []}
{"role": "student", "content": "yes", "session_id": 16108, "sequence_id": 106, "annotations": []}
{"role": "volunteer", "content": "OK good please be aware that the squeeze theorem is sometimes called the pinch theorem and sometimes called the sandwich theorem", "session_id": 16108, "sequence_id": 107, "annotations": []}
{"role": "student", "content": "ok", "session_id": 16108, "sequence_id": 108, "annotations": []}
{"role": "volunteer", "content": "Do u have more?", "session_id": 16108, "sequence_id": 109, "annotations": []}
{"role": "student", "content": "yes", "session_id": 16108, "sequence_id": 110, "annotations": []}
{"role": "volunteer", "content": "OK first I will send another link", "session_id": 16108, "sequence_id": 111, "annotations": []}
{"role": "volunteer", "content": "This one is good but be aware that Wikipedia oftenn gets highly technical after the first few paragrpahs", "session_id": 16108, "sequence_id": 112, "annotations": []}
{"role": "volunteer", "content": "https://en.wikipedia.org/wiki/Squeeze_theorem", "session_id": 16108, "sequence_id": 113, "annotations": [{"pii_type": "URL", "surrogate": "https://en.wikipedia.org/wiki/Squeeze_theorem", "start": 0, "end": 45}]}
{"role": "volunteer", "content": "The do however, have some nice examples for this", "session_id": 16108, "sequence_id": 114, "annotations": []}
{"role": "volunteer", "content": "especially \"First example\"", "session_id": 16108, "sequence_id": 115, "annotations": []}
{"role": "volunteer", "content": "They say this too:", "session_id": 16108, "sequence_id": 116, "annotations": []}
{"role": "volunteer", "content": "Also known as the pinching theorem, the sandwich rule, the police theorem", "session_id": 16108, "sequence_id": 117, "annotations": []}
{"role": "volunteer", "content": "I never heard of the police theorem !!!", "session_id": 16108, "sequence_id": 118, "annotations": []}
{"role": "student", "content": "is part b referencing squeeze theorem or is special limits another thing", "session_id": 16108, "sequence_id": 119, "annotations": []}
{"role": "volunteer", "content": "part b from the previous group that we did?", "session_id": 16108, "sequence_id": 120, "annotations": []}
{"role": "student", "content": "on the screenshot posted now it says Special limits using special limitzs", "session_id": 16108, "sequence_id": 121, "annotations": []}
{"role": "volunteer", "content": "I do not yet see a new scrnshot", "session_id": 16108, "sequence_id": 122, "annotations": []}
{"role": "volunteer", "content": "OK I had to scroll down", "session_id": 16108, "sequence_id": 123, "annotations": []}
{"role": "volunteer", "content": "OK I think they want you to use the special limits given at the start of #2", "session_id": 16108, "sequence_id": 124, "annotations": []}
{"role": "volunteer", "content": "Thos -- I htink -- are derived using the sq. theorem", "session_id": 16108, "sequence_id": 125, "annotations": []}
{"role": "volunteer", "content": "But you need to use them as given", "session_id": 16108, "sequence_id": 126, "annotations": []}
{"role": "volunteer", "content": "Can u do (a)?", "session_id": 16108, "sequence_id": 127, "annotations": []}
{"role": "volunteer", "content": "I think what you wrote is undefined", "session_id": 16108, "sequence_id": 128, "annotations": []}
{"role": "volunteer", "content": "0/0", "session_id": 16108, "sequence_id": 129, "annotations": []}
{"role": "volunteer", "content": "I think you need to rewrite (a) using sin/cos", "session_id": 16108, "sequence_id": 130, "annotations": []}
{"role": "volunteer", "content": "then we can proceed", "session_id": 16108, "sequence_id": 131, "annotations": []}
{"role": "student", "content": "can you show me on board what you mean", "session_id": 16108, "sequence_id": 132, "annotations": []}
{"role": "volunteer", "content": "yes but pls wait while I enable stylus", "session_id": 16108, "sequence_id": 133, "annotations": []}
{"role": "volunteer", "content": "pone more minute", "session_id": 16108, "sequence_id": 134, "annotations": []}
{"role": "volunteer", "content": "See what I wrote in blue?", "session_id": 16108, "sequence_id": 135, "annotations": []}
{"role": "student", "content": "yes", "session_id": 16108, "sequence_id": 136, "annotations": []}
{"role": "volunteer", "content": "Have u seen that before?", "session_id": 16108, "sequence_id": 137, "annotations": []}
{"role": "student", "content": "i think i have", "session_id": 16108, "sequence_id": 138, "annotations": []}
{"role": "volunteer", "content": "OK u should rvw that I will go to next step now", "session_id": 16108, "sequence_id": 139, "annotations": []}
{"role": "volunteer", "content": "OK?", "session_id": 16108, "sequence_id": 140, "annotations": []}
{"role": "student", "content": "got it", "session_id": 16108, "sequence_id": 141, "annotations": []}
{"role": "volunteer", "content": "OK Now next step", "session_id": 16108, "sequence_id": 142, "annotations": []}
{"role": "volunteer", "content": "I mult by 1/x  / 1/x OK?", "session_id": 16108, "sequence_id": 143, "annotations": []}
{"role": "student", "content": "ok", "session_id": 16108, "sequence_id": 144, "annotations": []}
{"role": "volunteer", "content": "almost done", "session_id": 16108, "sequence_id": 145, "annotations": []}
{"role": "volunteer", "content": "do u follow the algegra?", "session_id": 16108, "sequence_id": 146, "annotations": []}
{"role": "volunteer", "content": "algebra", "session_id": 16108, "sequence_id": 147, "annotations": []}
{"role": "student", "content": "how do you get 1/cosx and sinx/x", "session_id": 16108, "sequence_id": 148, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 16108, "sequence_id": 149, "annotations": []}
{"role": "volunteer", "content": "I will dd soem red to previous step", "session_id": 16108, "sequence_id": 150, "annotations": []}
{"role": "volunteer", "content": "does that help?", "session_id": 16108, "sequence_id": 151, "annotations": []}
{"role": "volunteer", "content": "and I will circle in green I hope", "session_id": 16108, "sequence_id": 152, "annotations": []}
{"role": "student", "content": "yes", "session_id": 16108, "sequence_id": 153, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 16108, "sequence_id": 154, "annotations": []}
{"role": "volunteer", "content": "now we have a prpdcit", "session_id": 16108, "sequence_id": 155, "annotations": []}
{"role": "volunteer", "content": "product", "session_id": 16108, "sequence_id": 156, "annotations": []}
{"role": "volunteer", "content": "I will do next step", "session_id": 16108, "sequence_id": 157, "annotations": []}
{"role": "volunteer", "content": "Therefore if both of those limits exist (and we know their vlaues) we are done!", "session_id": 16108, "sequence_id": 158, "annotations": []}
{"role": "volunteer", "content": "I wihat is the first limit?", "session_id": 16108, "sequence_id": 159, "annotations": []}
{"role": "student", "content": "1", "session_id": 16108, "sequence_id": 160, "annotations": []}
{"role": "volunteer", "content": "good", "session_id": 16108, "sequence_id": 161, "annotations": []}
{"role": "volunteer", "content": "now for the seond one look at the limits given at start of question", "session_id": 16108, "sequence_id": 162, "annotations": []}
{"role": "volunteer", "content": "we need the one I circled in black", "session_id": 16108, "sequence_id": 163, "annotations": []}
{"role": "student", "content": "ok", "session_id": 16108, "sequence_id": 164, "annotations": []}
{"role": "volunteer", "content": "it is given in the question", "session_id": 16108, "sequence_id": 165, "annotations": []}
{"role": "student", "content": "1", "session_id": 16108, "sequence_id": 166, "annotations": []}
{"role": "volunteer", "content": "yes !!", "session_id": 16108, "sequence_id": 167, "annotations": []}
{"role": "volunteer", "content": "so what is the answer?", "session_id": 16108, "sequence_id": 168, "annotations": []}
{"role": "student", "content": "1", "session_id": 16108, "sequence_id": 169, "annotations": []}
{"role": "volunteer", "content": "yes !!!", "session_id": 16108, "sequence_id": 170, "annotations": []}
{"role": "volunteer", "content": "good", "session_id": 16108, "sequence_id": 171, "annotations": []}
{"role": "volunteer", "content": "did that all make sense?", "session_id": 16108, "sequence_id": 172, "annotations": []}
{"role": "student", "content": "yes", "session_id": 16108, "sequence_id": 173, "annotations": []}
{"role": "volunteer", "content": "good", "session_id": 16108, "sequence_id": 174, "annotations": []}
{"role": "volunteer", "content": "ready for b?", "session_id": 16108, "sequence_id": 175, "annotations": []}
{"role": "student", "content": "yes", "session_id": 16108, "sequence_id": 176, "annotations": []}
{"role": "volunteer", "content": "can I erase so work t make room?", "session_id": 16108, "sequence_id": 177, "annotations": []}
{"role": "student", "content": "yes", "session_id": 16108, "sequence_id": 178, "annotations": []}
{"role": "volunteer", "content": "OK what do u think about b?", "session_id": 16108, "sequence_id": 179, "annotations": []}
{"role": "student", "content": "substitute 0?", "session_id": 16108, "sequence_id": 180, "annotations": []}
{"role": "volunteer", "content": "well yes good start", "session_id": 16108, "sequence_id": 181, "annotations": []}
{"role": "volunteer", "content": "but what happens if you do that?", "session_id": 16108, "sequence_id": 182, "annotations": []}
{"role": "student", "content": "undefined", "session_id": 16108, "sequence_id": 183, "annotations": []}
{"role": "volunteer", "content": "I agree", "session_id": 16108, "sequence_id": 184, "annotations": []}
{"role": "volunteer", "content": "Now does b resemble anything given in the question?", "session_id": 16108, "sequence_id": 185, "annotations": []}
{"role": "student", "content": "sin x / x =1", "session_id": 16108, "sequence_id": 186, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 16108, "sequence_id": 187, "annotations": []}
{"role": "volunteer", "content": "but not exactly the same", "session_id": 16108, "sequence_id": 188, "annotations": []}
{"role": "volunteer", "content": "can u get it into a form like sinx/x ?", "session_id": 16108, "sequence_id": 189, "annotations": []}
{"role": "student", "content": "divide both sides by 3", "session_id": 16108, "sequence_id": 190, "annotations": []}
{"role": "volunteer", "content": "very clsoe", "session_id": 16108, "sequence_id": 191, "annotations": []}
{"role": "volunteer", "content": "why not replce 3 by 2*(3/2)?", "session_id": 16108, "sequence_id": 192, "annotations": []}
{"role": "volunteer", "content": "to start", "session_id": 16108, "sequence_id": 193, "annotations": []}
{"role": "volunteer", "content": "or (3/2)*2 which is the same", "session_id": 16108, "sequence_id": 194, "annotations": []}
{"role": "student", "content": "can you show on board", "session_id": 16108, "sequence_id": 195, "annotations": []}
{"role": "volunteer", "content": "Yes", "session_id": 16108, "sequence_id": 196, "annotations": []}
{"role": "volunteer", "content": "I will try to use blue", "session_id": 16108, "sequence_id": 197, "annotations": []}
{"role": "volunteer", "content": "The liitle x menas multiply OK?", "session_id": 16108, "sequence_id": 198, "annotations": []}
{"role": "student", "content": "why did we multiply by 3/2", "session_id": 16108, "sequence_id": 199, "annotations": []}
{"role": "volunteer", "content": "I will cricle and maybe u eill see why", "session_id": 16108, "sequence_id": 200, "annotations": []}
{"role": "volunteer", "content": "oops I forgot the x", "session_id": 16108, "sequence_id": 201, "annotations": []}
{"role": "volunteer", "content": "does that help?", "session_id": 16108, "sequence_id": 202, "annotations": []}
{"role": "student", "content": "wasn't the bottom 3x originally?", "session_id": 16108, "sequence_id": 203, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 16108, "sequence_id": 204, "annotations": []}
{"role": "volunteer", "content": "and it still is but in a different form!", "session_id": 16108, "sequence_id": 205, "annotations": []}
{"role": "volunteer", "content": "you see 3/2 times 2x = 3x  !!!", "session_id": 16108, "sequence_id": 206, "annotations": []}
{"role": "student", "content": "oh ok", "session_id": 16108, "sequence_id": 207, "annotations": []}
{"role": "volunteer", "content": "now the green part has exactly the same form as sin(x)/x I mean we could let big X = 2x and we would have sim(X)/X see what I mean?", "session_id": 16108, "sequence_id": 208, "annotations": []}
{"role": "student", "content": "yes", "session_id": 16108, "sequence_id": 209, "annotations": []}
{"role": "volunteer", "content": "OK so what do u think the limit is for the green part?", "session_id": 16108, "sequence_id": 210, "annotations": []}
{"role": "student", "content": "kind of stuck still", "session_id": 16108, "sequence_id": 211, "annotations": []}
{"role": "volunteer", "content": "OK two comment:", "session_id": 16108, "sequence_id": 212, "annotations": []}
{"role": "volunteer", "content": "1. I will explain what I meant 2. Your tchr may have wanted u to use a trig identity here butI do not think thaa is needed", "session_id": 16108, "sequence_id": 213, "annotations": []}
{"role": "volunteer", "content": "I will explain", "session_id": 16108, "sequence_id": 214, "annotations": []}
{"role": "volunteer", "content": "we know limit as x -> 0 sin(x)/x  is what (it is given above)?", "session_id": 16108, "sequence_id": 215, "annotations": []}
{"role": "student", "content": "yes", "session_id": 16108, "sequence_id": 216, "annotations": []}
{"role": "volunteer", "content": "so what is its vlae as given?", "session_id": 16108, "sequence_id": 217, "annotations": []}
{"role": "volunteer", "content": "for lim x -> 0 sin(x)/x ?", "session_id": 16108, "sequence_id": 218, "annotations": []}
{"role": "student", "content": "1", "session_id": 16108, "sequence_id": 219, "annotations": []}
{"role": "volunteer", "content": "it is given in the ques", "session_id": 16108, "sequence_id": 220, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 16108, "sequence_id": 221, "annotations": []}
{"role": "volunteer", "content": "OK now the green has the same *form as that", "session_id": 16108, "sequence_id": 222, "annotations": []}
{"role": "volunteer", "content": "I mean 2x can be if we cnahge it in bot num adn denom see wha I mean?", "session_id": 16108, "sequence_id": 223, "annotations": []}
{"role": "student", "content": "yes, would you continue to draw out step by step", "session_id": 16108, "sequence_id": 224, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 16108, "sequence_id": 225, "annotations": []}
{"role": "volunteer", "content": "I changed the name to w OK?", "session_id": 16108, "sequence_id": 226, "annotations": []}
{"role": "student", "content": "ok", "session_id": 16108, "sequence_id": 227, "annotations": []}
{"role": "volunteer", "content": "Now I will circle", "session_id": 16108, "sequence_id": 228, "annotations": []}
{"role": "volunteer", "content": "now from the question we know hte limit of what is in black as x -> 0 what is it?", "session_id": 16108, "sequence_id": 229, "annotations": []}
{"role": "student", "content": "1", "session_id": 16108, "sequence_id": 230, "annotations": []}
{"role": "volunteer", "content": "hint w is lust like x", "session_id": 16108, "sequence_id": 231, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 16108, "sequence_id": 232, "annotations": []}
{"role": "volunteer", "content": "and what is 1/(3/2)?", "session_id": 16108, "sequence_id": 233, "annotations": []}
{"role": "volunteer", "content": "Maybe 2/3 ?", "session_id": 16108, "sequence_id": 234, "annotations": []}
{"role": "student", "content": "yes", "session_id": 16108, "sequence_id": 235, "annotations": []}
{"role": "volunteer", "content": "and that is the answer !!!", "session_id": 16108, "sequence_id": 236, "annotations": []}
{"role": "volunteer", "content": "I thnk I can show another way if you want", "session_id": 16108, "sequence_id": 237, "annotations": []}
{"role": "student", "content": "ok thanks for all the help, makes sense now", "session_id": 16108, "sequence_id": 238, "annotations": []}
{"role": "volunteer", "content": "OK good", "session_id": 16108, "sequence_id": 239, "annotations": []}
{"role": "volunteer", "content": "these take practice", "session_id": 16108, "sequence_id": 240, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 16108, "sequence_id": 241, "annotations": []}
{"role": "volunteer", "content": "I suspect you can find more examples on the Web", "session_id": 16108, "sequence_id": 242, "annotations": []}
{"role": "student", "content": "ok", "session_id": 16108, "sequence_id": 243, "annotations": []}
{"role": "student", "content": "see you later", "session_id": 16108, "sequence_id": 244, "annotations": []}
{"role": "volunteer", "content": "pls wait I want to look up Sandwich Theorem if u have time?", "session_id": 16108, "sequence_id": 245, "annotations": []}
{"role": "student", "content": "sure", "session_id": 16108, "sequence_id": 246, "annotations": []}
{"role": "volunteer", "content": "Here it is:", "session_id": 16108, "sequence_id": 247, "annotations": []}
{"role": "volunteer", "content": "https://www.mathisfun.com/calculus/squeeze-theorem.html", "session_id": 16108, "sequence_id": 248, "annotations": [{"pii_type": "URL", "surrogate": "https://www.mathisfun.com/calculus/squeeze-theorem.html", "start": 0, "end": 55}]}
{"role": "volunteer", "content": "OK I hope all this helped and I hope I did not go too fast", "session_id": 16108, "sequence_id": 249, "annotations": []}
{"role": "student", "content": "no it was good", "session_id": 16108, "sequence_id": 250, "annotations": []}
{"role": "volunteer", "content": "Do u have a textbook for ur course?", "session_id": 16108, "sequence_id": 251, "annotations": []}
{"role": "student", "content": "yes i believe so", "session_id": 16108, "sequence_id": 252, "annotations": []}
{"role": "volunteer", "content": "OK do u know hwo the author is?", "session_id": 16108, "sequence_id": 253, "annotations": []}
{"role": "volunteer", "content": "who*", "session_id": 16108, "sequence_id": 254, "annotations": []}
{"role": "student", "content": "not sure", "session_id": 16108, "sequence_id": 255, "annotations": []}
{"role": "volunteer", "content": "OK well ur book might have moe exmaples like thoe ones we did", "session_id": 16108, "sequence_id": 256, "annotations": []}
{"role": "student", "content": "ok", "session_id": 16108, "sequence_id": 257, "annotations": []}
{"role": "volunteer", "content": "OK All set for now?", "session_id": 16108, "sequence_id": 258, "annotations": []}
{"role": "student", "content": "yes bye", "session_id": 16108, "sequence_id": 259, "annotations": []}
{"role": "volunteer", "content": "OK BYE BYE", "session_id": 16108, "sequence_id": 260, "annotations": []}
{"role": "student", "content": "hiiii", "session_id": 16133, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "how r u today", "session_id": 16133, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "I'm good!! How are you Jamie?", "session_id": 16133, "sequence_id": 2, "annotations": [{"pii_type": "PERSON", "surrogate": "Jamie", "start": 23, "end": 28}]}
{"role": "student", "content": "doing good", "session_id": 16133, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "I just need help with this problem its asking me to find AD", "session_id": 16133, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "Sure! Do you have an idea where to start?", "session_id": 16133, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "nope", "session_id": 16133, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "That's okay! Let's start by looking at the tick marks on the sides of triangle ABC", "session_id": 16133, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "Do you know what the tick marks mean?", "session_id": 16133, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "share the same length?", "session_id": 16133, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "Yes! Very good :) So triangle ABC is an equilateral triangle, a triangle where all sides are the same length.", "session_id": 16133, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "What does that say about the angles of triangle ABC?", "session_id": 16133, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "shares the same angle as the other triangle", "session_id": 16133, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "Are you saying each angle in the triangle shares the same value as the other angles?", "session_id": 16133, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "yea", "session_id": 16133, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "Yes! That's correct :) What is the value of each angle in triangle ABC then?", "session_id": 16133, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "the value?", "session_id": 16133, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "yeah, how many degrees is it?", "session_id": 16133, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "65?", "session_id": 16133, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "Close! If we add together all the angles in any triangle, we 180 degrees. Here we have 3 angles that are all equal in degree that add up 180 degrees. How can we solve for the degree of an angle in triangle ABC, x, if we know 3x = 180?", "session_id": 16133, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "60", "session_id": 16133, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "very good!", "session_id": 16133, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "So we know each angle in triangle ABC is 60 degrees. Can you find then the degree of each angle in triangle ABD?", "session_id": 16133, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "60deg , 90 deg and 45?", "session_id": 16133, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "angle A would be 30 right", "session_id": 16133, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "Yes that's correct!", "session_id": 16133, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "So...", "session_id": 16133, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "Triangle ABD is a 30-60-90 triangle because the degrees of its angles are 30, 60, and 90 degrees.", "session_id": 16133, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "gotcha", "session_id": 16133, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "Have you learned the ratios of a 30-60-90 triangles hypotenuse to its side lengths?", "session_id": 16133, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "I'm not sure", "session_id": 16133, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "We can review those ratios! They'll be important for solving this problem", "session_id": 16133, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "Any questions so far?", "session_id": 16133, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "nope", "session_id": 16133, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "Do you feel like you have an idea how to apply the ratios to your problem?", "session_id": 16133, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "sorta", "session_id": 16133, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "Do you want to give it a shot?", "session_id": 16133, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "yea", "session_id": 16133, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "Awesome! :)", "session_id": 16133, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "so would I just plug in sqrt(3) / 2 h", "session_id": 16133, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "Yeah! Except h here is 19 m", "session_id": 16133, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "ok", "session_id": 16133, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "so sqrt(3) /2 (19 ) m?", "session_id": 16133, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "Yes!", "session_id": 16133, "sequence_id": 43, "annotations": []}
{"role": "student", "content": "ok", "session_id": 16133, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "So the ratios of the hypotenuse to side lengths of a 30-60-90 triangle are good to memorize", "session_id": 16133, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "16.45 meters", "session_id": 16133, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "Same for 45-45-90 triangles. I'll put those ratios up on the board as well", "session_id": 16133, "sequence_id": 47, "annotations": []}
{"role": "student", "content": "ok", "session_id": 16133, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "Is there anything else you'd like help with? :)", "session_id": 16133, "sequence_id": 49, "annotations": []}
{"role": "student", "content": "is the answer I got correct", "session_id": 16133, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "Yes!", "session_id": 16133, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "ok thank u for ur help today", "session_id": 16133, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "No problem! :)", "session_id": 16133, "sequence_id": 53, "annotations": []}
{"role": "student", "content": "wait", "session_id": 16133, "sequence_id": 54, "annotations": []}
{"role": "student", "content": "should I round my answer", "session_id": 16133, "sequence_id": 55, "annotations": []}
{"role": "student", "content": "even tho it doesn't ask", "session_id": 16133, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "I would ask your teacher how many decimal places they want you to round too. There's not a standard, so it depends what they're looking for. Good question :)", "session_id": 16133, "sequence_id": 57, "annotations": []}
{"role": "student", "content": "ok byyyyeee", "session_id": 16133, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "bye", "session_id": 16133, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": ";)", "session_id": 16133, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "Hey Alex!", "session_id": 16292, "sequence_id": 0, "annotations": [{"pii_type": "PERSON", "surrogate": "Alex", "start": 4, "end": 8}]}
{"role": "student", "content": "hi! how are you today?", "session_id": 16292, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "Good! How are you!", "session_id": 16292, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "I'm good as well :)", "session_id": 16292, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "That's awesome!", "session_id": 16292, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "How can I help you today?", "session_id": 16292, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "could you help me with my algebra hw pls?", "session_id": 16292, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "Of course!", "session_id": 16292, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "okay give me one moment", "session_id": 16292, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "Is it ok if I use mic?", "session_id": 16292, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "yes :)", "session_id": 16292, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "OK, let me know if you can hear me.", "session_id": 16292, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "I can", "session_id": 16292, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "OK, that's good. So basically for this equation,", "session_id": 16292, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "we can see over here, um, I'm gonna annotate, OK, so we can see GFX is this, OK, we're gonna do different colors. GFX is pink.", "session_id": 16292, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "HFX is gonna be blue. And then for green", "session_id": 16292, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "I'm gonna do Ben, so we can see on the chart that we have F of X, OK? So whenever we have like a variable, like a variable is basically just the same thing as like a letter, right? So, um", "session_id": 16292, "sequence_id": 16, "annotations": [{"pii_type": "PERSON", "surrogate": "Ben", "start": 13, "end": 16}]}
{"role": "volunteer", "content": "let's use like the letter, like let's like just take explain this to you. So E of X", "session_id": 16292, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "it's just like a random number, OK, just like help you out. EFX is just the same thing as saying why, OK? And why is what we're using to define our function.", "session_id": 16292, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "OK, so why we're basically saying like everything that's equal to Y is the function, OK? So over here we have GFX, which is just another way of saying why, OK? So we're saying GFX is 1/3 of F of X. So can you use like a different color? Can you use the red and can you go to F of X on the graph and put like a little dot, so I can see that you're following along.", "session_id": 16292, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "wait on what", "session_id": 16292, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "on the F of X.", "session_id": 16292, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "like in the in the table.", "session_id": 16292, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "just like next to it or anything.", "session_id": 16292, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "Yeah, exactly. OK, perfect. So you know where the FX is, right? And", "session_id": 16292, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "over here, we see that X over here, we see the values for X are next to what we see 6, we see 0, and we see 7, OK?", "session_id": 16292, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "So these value or negative 6, sorry 6 and 7. These are the values for X. Now for F of X, the values are 18", "session_id": 16292, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "15, and 24.", "session_id": 16292, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "So, what we're gonna do is first, we're going to define that G(x) is equal to 1/3 of fx, OK? The second step", "session_id": 16292, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "1 2nd", "session_id": 16292, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "I'm trying to figure out a way to explain this like easier for you. OK.", "session_id": 16292, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "So", "session_id": 16292, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "an equation of is H X. This means that", "session_id": 16292, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "to find HFX we need to take the G of X value, make it negative, so multiply it by -1, and then we're going to add 4, OK? So we're saying, see how it's negative, we're gonna make it negative, and then we're gonna add 4, OK?", "session_id": 16292, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "And then", "session_id": 16292, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "so that's our second one. This is just like understanding the functions, OK? So we understand for GFX we're taking any value from F of X and we're dividing it by 1/3.", "session_id": 16292, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "OK? And then we see over here, for H of X,", "session_id": 16292, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "over here for H of X, we're seeing we're making the, the value for um GFX negative and then we're adding 4 to that value, OK? So our second step is going to be to calculate the GFX values. So we are given F of X values for certain x values. So we can see over here what I'm talking about. For F(x), we see these three values, right, right next to it we see -18, 15, and 24. Can you just let me know if you understand so far what I'm trying to say because I don't want you to be lost.", "session_id": 16292, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "yes", "session_id": 16292, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "OK, that's good. So we see these values for F of X, OK?", "session_id": 16292, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "So the next thing that we're gonna do,", "session_id": 16292, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "is", "session_id": 16292, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "we are going to use the formula for GFX, which is 1/3 of FFX to calculate GFX for each X. That sounds like a lot, but I'm gonna walk you through it. So first, for X equals -6, because do you see how over here we have G and then instead of the X right here, instead of the X, we're replacing it with a -6.", "session_id": 16292, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "OK, wait, sorry, one second. I just got a call from someone. I will call them back, but, so you see right here, we're gonna do G, and then we're gonna plug in the negative6, and that's going to be the same thing as doing 1/3 times F of -6. So, so to write it down underneath.", "session_id": 16292, "sequence_id": 43, "annotations": []}
{"role": "student", "content": "ok", "session_id": 16292, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "Also, I'm gonna do the first one like with you, and then for the second one, I want you to try it on your own. So,", "session_id": 16292, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "over here", "session_id": 16292, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "for GFX", "session_id": 16292, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "we would do G.", "session_id": 16292, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "times 6", "session_id": 16292, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "OK, hold on. Let me just erase all of this like Y equals stuff over here.", "session_id": 16292, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "OK, wait, I don't know why it's not letting me", "session_id": 16292, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "erase it. OK, let me just erase this right here. OK.", "session_id": 16292, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "So here we would have GF 6 is equal.", "session_id": 16292, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "1 2nd. GF 6", "session_id": 16292, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "OK, I don't know why it's not letting me draw, OK, there we go. Perfect. So we have GF 6 is equal to 1/3, because you see how the 1/3 is in the in the regular formula up here, 1/3 of F of X, so 1/3", "session_id": 16292, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "of F", "session_id": 16292, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "of F of X", "session_id": 16292, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "So 1/3 of F of -6.", "session_id": 16292, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "because you see how the 6 is at the top right here.", "session_id": 16292, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "OK, this is just gonna be the same thing.", "session_id": 16292, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "as 1/3", "session_id": 16292, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "times -18, which is just going to give us negative 6.", "session_id": 16292, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "OK. So we're saying here that G of -6 is -6.", "session_id": 16292, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "OK. So all we're doing is we're taking the value that we're given. I'm gonna do like a complete, I'm gonna do like this teal color. We're taking the value that we're giving.", "session_id": 16292, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "that we're given, and we're going to put it where the X is, OK?", "session_id": 16292, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "We're gonna put it where the X is.", "session_id": 16292, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "and we know that this this um value is gonna be equal to 15.", "session_id": 16292, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "So", "session_id": 16292, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "G 0 is going to be equal to 1/3 times F of 0.", "session_id": 16292, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "And then over here we see F of 0, right? F of 0 is going to be 15.", "session_id": 16292, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "So I'm gonna do this. I'm gonna give you 5 minutes, um, I'll be right back, because I have to go get my supplies to help you out really quick, but I will be back in just about 5 minutes, and I want you to go ahead and try these next two problems by yourself.", "session_id": 16292, "sequence_id": 71, "annotations": []}
{"role": "student", "content": "ok", "session_id": 16292, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "hi", "session_id": 16292, "sequence_id": 73, "annotations": []}
{"role": "student", "content": "hi", "session_id": 16292, "sequence_id": 74, "annotations": []}
{"role": "volunteer", "content": "OK hi. So I'm back and let me know if you have any questions or you want me to explain it", "session_id": 16292, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "cause it's a little confusing. So if you need help, I'm here to help you.", "session_id": 16292, "sequence_id": 76, "annotations": []}
{"role": "student", "content": "I got 5 and 8", "session_id": 16292, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "You got 5 and 8.", "session_id": 16292, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "Yeah.", "session_id": 16292, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "So for G(0), that is 5 great job and for GF 7 that is 8, so great job you did that right.", "session_id": 16292, "sequence_id": 80, "annotations": []}
{"role": "volunteer", "content": "So using the same pattern, do you want to go ahead and try H of X? Or do you want me to walk you through it for the first one?", "session_id": 16292, "sequence_id": 81, "annotations": []}
{"role": "student", "content": "I'll try", "session_id": 16292, "sequence_id": 82, "annotations": []}
{"role": "volunteer", "content": "OK, perfect. Let me know if you have any questions.", "session_id": 16292, "sequence_id": 83, "annotations": []}
{"role": "student", "content": "I think I need help", "session_id": 16292, "sequence_id": 84, "annotations": []}
{"role": "volunteer", "content": "ok no problem!", "session_id": 16292, "sequence_id": 85, "annotations": []}
{"role": "volunteer", "content": "what part do you need help on", "session_id": 16292, "sequence_id": 86, "annotations": []}
{"role": "student", "content": "the negative thing", "session_id": 16292, "sequence_id": 87, "annotations": []}
{"role": "volunteer", "content": "okay give me on sec!", "session_id": 16292, "sequence_id": 88, "annotations": []}
{"role": "volunteer", "content": "OK. So to approach this, the first thing that we're going to do is", "session_id": 16292, "sequence_id": 89, "annotations": []}
{"role": "volunteer", "content": "we're gonna fill out the chart for what we already know. So", "session_id": 16292, "sequence_id": 90, "annotations": []}
{"role": "volunteer", "content": "give me one second. I'm trying to make room", "session_id": 16292, "sequence_id": 91, "annotations": []}
{"role": "volunteer", "content": "um, for this. OK. So we know the answers for the G values, right? So we know that the answers are gonna be -6", "session_id": 16292, "sequence_id": 92, "annotations": []}
{"role": "volunteer", "content": "Oh, hold on one second.", "session_id": 16292, "sequence_id": 93, "annotations": []}
{"role": "volunteer", "content": "We know that the values", "session_id": 16292, "sequence_id": 94, "annotations": []}
{"role": "volunteer", "content": "I don't know why it's not letting me draw, but", "session_id": 16292, "sequence_id": 95, "annotations": []}
{"role": "volunteer", "content": "OK, we know that the values are going to be -6.", "session_id": 16292, "sequence_id": 96, "annotations": []}
{"role": "volunteer", "content": "um 5.", "session_id": 16292, "sequence_id": 97, "annotations": []}
{"role": "volunteer", "content": "and 8, right? So we know the values for these.", "session_id": 16292, "sequence_id": 98, "annotations": []}
{"role": "volunteer", "content": "Now, what we're gonna do to find the HVX for H X is that number one, we know the GFX for each value of X, so all we're going to do is we're gonna take the negative of the GFX and add 4. So, for example, if we're looking at age of 6, what we're going to do", "session_id": 16292, "sequence_id": 99, "annotations": []}
{"role": "volunteer", "content": "is we're going to just take", "session_id": 16292, "sequence_id": 100, "annotations": []}
{"role": "volunteer", "content": "-6, and we're going to multiply it by", "session_id": 16292, "sequence_id": 101, "annotations": []}
{"role": "volunteer", "content": "a negative, so basically we're replacing the X over here in the equation. So we're doing negative G of X, right? Our GFX right here, the GFX is just the value we got up here.", "session_id": 16292, "sequence_id": 102, "annotations": []}
{"role": "volunteer", "content": "So the value we got up here is -6, so we're replacing the GFX with -6, and on the outside of the GFX, do you see how we have a negative sign. So that's why I'm putting a negative sign right here. And then we're going to go ahead and add 4 to this value. So negative times the negative is always going to be a positive, so -1, because again, writing a negative sign is just the same as it meaning -1. So 1 times 6 is the same as 6.", "session_id": 16292, "sequence_id": 103, "annotations": []}
{"role": "volunteer", "content": "OK?", "session_id": 16292, "sequence_id": 104, "annotations": []}
{"role": "volunteer", "content": "Then we're gonna have more. So we're gonna have 6 + 4.", "session_id": 16292, "sequence_id": 105, "annotations": []}
{"role": "volunteer", "content": "And this is gonna go ahead and give us 10.", "session_id": 16292, "sequence_id": 106, "annotations": []}
{"role": "volunteer", "content": "OK, so that's how we got the number 10. Let me know if you understand. Let me know if you want me to walk you through the next problem. Um, or if you want to try it on your own.", "session_id": 16292, "sequence_id": 107, "annotations": []}
{"role": "student", "content": "ohhh yes I get it", "session_id": 16292, "sequence_id": 108, "annotations": []}
{"role": "volunteer", "content": "or if you have like a specific question. OK, perfect. So literally all we're doing is we're replacing the GFX with the value that we got before. So it'd be 6 for GF 65 for G of 0, and um 8 for GF 7. So we're just gonna take those values and replace it of G(x) and then just literally just do it like normal. So yeah, I think you got it. I'm gonna put a 10 here just for reference, and then move these numbers back up, so -6.", "session_id": 16292, "sequence_id": 109, "annotations": []}
{"role": "volunteer", "content": "5 and 8, and I want you to go ahead and try these last two for me and then I will check.", "session_id": 16292, "sequence_id": 110, "annotations": []}
{"role": "volunteer", "content": "your", "session_id": 16292, "sequence_id": 111, "annotations": []}
{"role": "volunteer", "content": "with mine. See if we got the same um values. Let me know when you're done.", "session_id": 16292, "sequence_id": 112, "annotations": []}
{"role": "student", "content": "is -(0)+4 right", "session_id": 16292, "sequence_id": 113, "annotations": []}
{"role": "volunteer", "content": "it would be -(5)+5! :)", "session_id": 16292, "sequence_id": 114, "annotations": []}
{"role": "volunteer", "content": "bc remeber were taking g(0) which is 5", "session_id": 16292, "sequence_id": 115, "annotations": []}
{"role": "student", "content": "I forgot what I was plugging in mb", "session_id": 16292, "sequence_id": 116, "annotations": []}
{"role": "volunteer", "content": "no worries! im here to help", "session_id": 16292, "sequence_id": 117, "annotations": []}
{"role": "student", "content": "-1 and -4", "session_id": 16292, "sequence_id": 118, "annotations": []}
{"role": "volunteer", "content": "Perfect those are correct!", "session_id": 16292, "sequence_id": 119, "annotations": []}
{"role": "volunteer", "content": "So how do you feel about the topic now?", "session_id": 16292, "sequence_id": 120, "annotations": []}
{"role": "volunteer", "content": "and is there anything else you need help with?", "session_id": 16292, "sequence_id": 121, "annotations": []}
{"role": "student", "content": "I feel good", "session_id": 16292, "sequence_id": 122, "annotations": []}
{"role": "student", "content": "could u check my answers for smth else", "session_id": 16292, "sequence_id": 123, "annotations": []}
{"role": "volunteer", "content": "Yay! Thats good", "session_id": 16292, "sequence_id": 124, "annotations": []}
{"role": "volunteer", "content": "Yep of course!", "session_id": 16292, "sequence_id": 125, "annotations": []}
{"role": "volunteer", "content": "okay !", "session_id": 16292, "sequence_id": 126, "annotations": []}
{"role": "volunteer", "content": "can you let me kow ur answer and ill check", "session_id": 16292, "sequence_id": 127, "annotations": []}
{"role": "student", "content": "I chose the second to last one", "session_id": 16292, "sequence_id": 128, "annotations": []}
{"role": "volunteer", "content": "ok lets check!", "session_id": 16292, "sequence_id": 129, "annotations": []}
{"role": "volunteer", "content": "OK, so this is inverses, um, so we know that GFX is just another way of saying why, and the H is like basically the X, right? So the first step is we're gonna flip the X and Y. So we're gonna get H", "session_id": 16292, "sequence_id": 130, "annotations": []}
{"role": "volunteer", "content": "hold on", "session_id": 16292, "sequence_id": 131, "annotations": []}
{"role": "volunteer", "content": "This pen thing always stops working.", "session_id": 16292, "sequence_id": 132, "annotations": []}
{"role": "volunteer", "content": "OK, there we go", "session_id": 16292, "sequence_id": 133, "annotations": []}
{"role": "volunteer", "content": "So", "session_id": 16292, "sequence_id": 134, "annotations": []}
{"role": "volunteer", "content": "we have um", "session_id": 16292, "sequence_id": 135, "annotations": []}
{"role": "volunteer", "content": "H is equal to 10", "session_id": 16292, "sequence_id": 136, "annotations": []}
{"role": "volunteer", "content": "um, to the square square root of", "session_id": 16292, "sequence_id": 137, "annotations": []}
{"role": "volunteer", "content": "Y, right? Because G(x) is just why.", "session_id": 16292, "sequence_id": 138, "annotations": []}
{"role": "volunteer", "content": "of why", "session_id": 16292, "sequence_id": 139, "annotations": []}
{"role": "volunteer", "content": "and then remember the minus 6 is on the outside.", "session_id": 16292, "sequence_id": 140, "annotations": []}
{"role": "volunteer", "content": "So the first thing we're gonna do is we're gonna add the 6, OK?", "session_id": 16292, "sequence_id": 141, "annotations": []}
{"role": "volunteer", "content": "So now we're gonna get, sorry, also, um, yeah, hold on. So we're gonna get the H+ 6, right? And the whole point of this is to isolate the Y. So the H+ 6 is gonna be equal to 10", "session_id": 16292, "sequence_id": 142, "annotations": []}
{"role": "volunteer", "content": "to the square root of Y. So now what we're going to do is we're going to divide both sides by 10.", "session_id": 16292, "sequence_id": 143, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 16292, "sequence_id": 144, "annotations": []}
{"role": "volunteer", "content": "So now we're gonna get H+ 6/10. And now, since we're done with the 10, we're gonna get H+ 6.", "session_id": 16292, "sequence_id": 145, "annotations": []}
{"role": "volunteer", "content": "over 10.", "session_id": 16292, "sequence_id": 146, "annotations": []}
{"role": "volunteer", "content": "is equal", "session_id": 16292, "sequence_id": 147, "annotations": []}
{"role": "volunteer", "content": "to the square root", "session_id": 16292, "sequence_id": 148, "annotations": []}
{"role": "volunteer", "content": "of Y, and how do we get rid of this square root, we're going to go ahead and square this whole side. So then this whole side would be squared.", "session_id": 16292, "sequence_id": 149, "annotations": []}
{"role": "volunteer", "content": "And now, since we got rid of the square root, it's literally just gonna be", "session_id": 16292, "sequence_id": 150, "annotations": []}
{"role": "volunteer", "content": "um, why is equal to", "session_id": 16292, "sequence_id": 151, "annotations": []}
{"role": "volunteer", "content": "H + 6/10 squared, which is exactly what you put, so great job.", "session_id": 16292, "sequence_id": 152, "annotations": []}
{"role": "volunteer", "content": "So, and also always remember like, when we're putting it in back into inverse form, we would do the same thing up here. So do you see how we have GFX. We would do the same thing except now we would do G of negative1 of H. sorry, not GFX GFH GF 1 of H, and then you also got that same input that I got. So you did it right.", "session_id": 16292, "sequence_id": 153, "annotations": []}
{"role": "student", "content": "yay", "session_id": 16292, "sequence_id": 154, "annotations": []}
{"role": "student", "content": "thank you", "session_id": 16292, "sequence_id": 155, "annotations": []}
{"role": "volunteer", "content": "Yep", "session_id": 16292, "sequence_id": 156, "annotations": []}
{"role": "volunteer", "content": "Of course. Let me know if you if you need me to check anything else or if you have any questions with anything else.", "session_id": 16292, "sequence_id": 157, "annotations": []}
{"role": "student", "content": "I have one more", "session_id": 16292, "sequence_id": 158, "annotations": []}
{"role": "volunteer", "content": "OK, perfect. Um, here, let's just erase this, and then you can put that one up for me.", "session_id": 16292, "sequence_id": 159, "annotations": []}
{"role": "student", "content": "I can", "session_id": 16292, "sequence_id": 160, "annotations": []}
{"role": "volunteer", "content": "OK, so I'm back. I'm not sure if you can hear me, but let me know, um, like your next", "session_id": 16292, "sequence_id": 161, "annotations": []}
{"role": "volunteer", "content": "thing that you need help with, and we will get started on that.", "session_id": 16292, "sequence_id": 162, "annotations": []}
{"role": "student", "content": "I chose the second one", "session_id": 16292, "sequence_id": 163, "annotations": []}
{"role": "volunteer", "content": "OK, so", "session_id": 16292, "sequence_id": 164, "annotations": []}
{"role": "volunteer", "content": "OK, suppose that F of X is equal to x + 2, and that GFX is the result of shifting F(x) down 6 units and left one unit. Which of the following is the correct equation for GF X. OK, so automatically on the first step for this is we need to note out our word translation. So we can see over here,", "session_id": 16292, "sequence_id": 165, "annotations": []}
{"role": "volunteer", "content": "um", "session_id": 16292, "sequence_id": 166, "annotations": []}
{"role": "volunteer", "content": "our translations is going down by 6, OK, and then we're going left by one. So automatically we can cross out literally.", "session_id": 16292, "sequence_id": 167, "annotations": []}
{"role": "volunteer", "content": "all of these, right? We can cross out every single one because none of these are going down by 6. And also when we're going left one, it's gonna be the opposite in the equation. Usually we would think, oh, if we're going to the left, we would do minus 1, right? Like we would do -1 inside of the parentheses, like right here.", "session_id": 16292, "sequence_id": 168, "annotations": []}
{"role": "volunteer", "content": "But no, we're always gonna do plus one, and then when we're going right, we do minus. So automatically this is really easy because you can just cancel everything out.", "session_id": 16292, "sequence_id": 169, "annotations": []}
{"role": "volunteer", "content": "to see", "session_id": 16292, "sequence_id": 170, "annotations": []}
{"role": "volunteer", "content": "OK, wait, hold on, I actually forgot about the entire first part of the equation. So actually that's my mistake.", "session_id": 16292, "sequence_id": 171, "annotations": []}
{"role": "volunteer", "content": "Since we have an x + 2, if we're going down 6, can you tell me what that would be?", "session_id": 16292, "sequence_id": 172, "annotations": []}
{"role": "volunteer", "content": "If we're doing 2-6, what would we get? See, that was actually a trick, that was a trick.", "session_id": 16292, "sequence_id": 173, "annotations": []}
{"role": "volunteer", "content": "So we can automatically actually cross that one out.", "session_id": 16292, "sequence_id": 174, "annotations": []}
{"role": "student", "content": "-4", "session_id": 16292, "sequence_id": 175, "annotations": []}
{"role": "volunteer", "content": "So can you let me know what is 2, if we have 2 and we're going down 6, what would that be?", "session_id": 16292, "sequence_id": 176, "annotations": []}
{"role": "volunteer", "content": "Yeah, perfect. -4. OK. So now with the, now that we know that we're going to be -4.", "session_id": 16292, "sequence_id": 177, "annotations": []}
{"role": "volunteer", "content": "We're going to go ahead and cross out.", "session_id": 16292, "sequence_id": 178, "annotations": []}
{"role": "volunteer", "content": "the plus 4 and the +1 and the +2. Now we have these two options to choose from, OK? So you went ahead and chose the second one. I'm just gonna go ahead and um like on a race this really quick that's just actually erased the entire thing. The reason you chose the second one is because you saw the the minus 6 and you just put down the minus 6, but that's not what we're doing. We're looking at the original equation, right, the original equation", "session_id": 16292, "sequence_id": 179, "annotations": []}
{"role": "volunteer", "content": "we're starting with the 2.", "session_id": 16292, "sequence_id": 180, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 16292, "sequence_id": 181, "annotations": []}
{"role": "volunteer", "content": "So on the original equation, we're starting with the with the plus 2, a 2. So let's say the graph is like over here + 2, OK? And it's saying, oh, we're going down by 6 units. So if we're going down by 6 units, we're gonna end up at -4. OK, so that's why we're going -4.", "session_id": 16292, "sequence_id": 182, "annotations": []}
{"role": "volunteer", "content": "because this is talking about the results of the function. So, -4, and then since we're going left by one unit again, same thing. When we're going left, we're going to do a plus one or like a plus whatever unit. So we're going left one, so that's going to be plus one. If we were going right one unit, then we would do minus 1. So do you see now how it's Y equals x + 12 minus 4. So that automatically cancels out this one and our correct answer would", "session_id": 16292, "sequence_id": 183, "annotations": []}
{"role": "volunteer", "content": "be.", "session_id": 16292, "sequence_id": 184, "annotations": []}
{"role": "volunteer", "content": "um GFX equals x + 12 minus 4.", "session_id": 16292, "sequence_id": 185, "annotations": []}
{"role": "volunteer", "content": "So the third one, do you understand or do you have any questions with that?", "session_id": 16292, "sequence_id": 186, "annotations": []}
{"role": "student", "content": "\ud83d\ude2d", "session_id": 16292, "sequence_id": 187, "annotations": []}
{"role": "student", "content": "yes I got it", "session_id": 16292, "sequence_id": 188, "annotations": []}
{"role": "volunteer", "content": "It's OK if you don't understand or, OK, that's great, that's amazing. Let me know if you need help with anything else.", "session_id": 16292, "sequence_id": 189, "annotations": []}
{"role": "volunteer", "content": "Today, this app is being really glitchy, so", "session_id": 16292, "sequence_id": 190, "annotations": []}
{"role": "volunteer", "content": "I am trying to erase everything. OK, perfect.", "session_id": 16292, "sequence_id": 191, "annotations": []}
{"role": "student", "content": "I'm good :) thank you so much for helping me tonight", "session_id": 16292, "sequence_id": 192, "annotations": []}
{"role": "student", "content": "I hope you have a great night", "session_id": 16292, "sequence_id": 193, "annotations": []}
{"role": "volunteer", "content": "Yup, of course. Um, I'm glad I could help you. And I hope you have a great night. And also always come back and let me know if you need help with anything.", "session_id": 16292, "sequence_id": 194, "annotations": []}
{"role": "student", "content": ":)", "session_id": 16292, "sequence_id": 195, "annotations": []}
{"role": "volunteer", "content": "Have a great night. Bye.", "session_id": 16292, "sequence_id": 196, "annotations": []}
{"role": "volunteer", "content": "Hello :) are you in need of assistance?", "session_id": 16453, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "Hello, can you hear me?", "session_id": 16453, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "Can you please turn on your mic so that I could learn better.", "session_id": 16453, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "yes i can hear you :)", "session_id": 16453, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "Hello", "session_id": 16453, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "Wait, are you speaking? Wait, hold on, let me turn on my volume.", "session_id": 16453, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "OK, I can hear you", "session_id": 16453, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "Yes, I'm speaking", "session_id": 16453, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "OK. Um, so, um, I have a test tomorrow.", "session_id": 16453, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "Mhm.", "session_id": 16453, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "and I'm taking APPO.", "session_id": 16453, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "Yes, I can help you with that", "session_id": 16453, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "OK. So basically, I, I'm gonna share my screen um", "session_id": 16453, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "what I'm showing you is like what is gonna be on a test. So I just need like help to like", "session_id": 16453, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "yeah.", "session_id": 16453, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "All right, no problem. Uh, allow me to, let me see if I can.", "session_id": 16453, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "Can you see my screen", "session_id": 16453, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "Yes, now I can", "session_id": 16453, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "OK", "session_id": 16453, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "So this, this the first.", "session_id": 16453, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "first, um", "session_id": 16453, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "mhm.", "session_id": 16453, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "Do you want me to screenshot it and place it in a whiteboard or you just want me to clean.", "session_id": 16453, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "No, that's fine. I can, I can see your screen now.", "session_id": 16453, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "OK", "session_id": 16453, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "OK", "session_id": 16453, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "So what is it you are looking for help with?", "session_id": 16453, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "Basically, like", "session_id": 16453, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "the topic like the entire, like, like, like guide me like as I like um answer the questions cause", "session_id": 16453, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "the type of question that is here is what's gonna be on the test.", "session_id": 16453, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "All right.", "session_id": 16453, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "Let's see.", "session_id": 16453, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "So, do you know how to turn the chat off?", "session_id": 16453, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "How to turn the chat off, I do not.", "session_id": 16453, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "Mm", "session_id": 16453, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "OK, so this is the first question.", "session_id": 16453, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "For that to below its defined such that H of X is equal to F times g.", "session_id": 16453, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "And then there's examples also that it shows.", "session_id": 16453, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "Mhm", "session_id": 16453, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "multiple", "session_id": 16453, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "0 factor X minus 8.", "session_id": 16453, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "Mhm.", "session_id": 16453, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "like I'm really bad at factoring.", "session_id": 16453, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "No problem", "session_id": 16453, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "I'm just trying to figure it out myself right now cause it's been a while since I've done this.", "session_id": 16453, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "All right. Can I see the problem?", "session_id": 16453, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "All right. So, given the function H of X is defined such that H of x is equal to FX times GX", "session_id": 16453, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "with the functions F and G given by that. What is the multiplicity of the zero x equals 6 in h x.", "session_id": 16453, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "All right", "session_id": 16453, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "So,", "session_id": 16453, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "so we would multiply FX by G of X.", "session_id": 16453, "sequence_id": 50, "annotations": []}
{"role": "student", "content": "but", "session_id": 16453, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "that's, but i", "session_id": 16453, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "Yes, I think that's what it's saying to do here.", "session_id": 16453, "sequence_id": 53, "annotations": []}
{"role": "student", "content": "so like", "session_id": 16453, "sequence_id": 54, "annotations": []}
{"role": "student", "content": "OK", "session_id": 16453, "sequence_id": 55, "annotations": []}
{"role": "student", "content": "So there's 3", "session_id": 16453, "sequence_id": 56, "annotations": []}
{"role": "student", "content": "X plus 6", "session_id": 16453, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "X minus 8", "session_id": 16453, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "and X minus 36 2.", "session_id": 16453, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "And then we'd multiply that by 4 X cubes and then all of that.", "session_id": 16453, "sequence_id": 60, "annotations": []}
{"role": "student", "content": "3", "session_id": 16453, "sequence_id": 61, "annotations": []}
{"role": "student", "content": "but we've multiply like terms first or?", "session_id": 16453, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "One moment", "session_id": 16453, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "and um", "session_id": 16453, "sequence_id": 64, "annotations": []}
{"role": "student", "content": "Hm.", "session_id": 16453, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "it's my work. All right.", "session_id": 16453, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "Hmm. So, I do not believe they want you to", "session_id": 16453, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "actually do all of this multiplication. I don't believe that would", "session_id": 16453, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "be necessary", "session_id": 16453, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "What I'm seeing right now.", "session_id": 16453, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "is there's an X minus 6 in F of X, that would make FOX 0.", "session_id": 16453, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "So it's basically saying", "session_id": 16453, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "how many of those are there.", "session_id": 16453, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "But you know what a multiplicity is, right?", "session_id": 16453, "sequence_id": 74, "annotations": []}
{"role": "student", "content": "Uh, kind of forgot", "session_id": 16453, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "No problem. A multiplicity is", "session_id": 16453, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "how many times it hits a 0.", "session_id": 16453, "sequence_id": 77, "annotations": []}
{"role": "student", "content": "Mm.", "session_id": 16453, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "on that X value. Like, if it was, like, if we're just looking at FOX right now, the multiplicity would be one, because it's X minus 6 to the one power. There's no other value there.", "session_id": 16453, "sequence_id": 79, "annotations": []}
{"role": "student", "content": "Mhm", "session_id": 16453, "sequence_id": 80, "annotations": []}
{"role": "volunteer", "content": "But if it was X minus 6 squared, it would hit that x value twice at 6.", "session_id": 16453, "sequence_id": 81, "annotations": []}
{"role": "student", "content": "So the most specific multiplicity.", "session_id": 16453, "sequence_id": 82, "annotations": []}
{"role": "student", "content": "is one", "session_id": 16453, "sequence_id": 83, "annotations": []}
{"role": "volunteer", "content": "I'm looking right now.", "session_id": 16453, "sequence_id": 84, "annotations": []}
{"role": "volunteer", "content": "I", "session_id": 16453, "sequence_id": 85, "annotations": []}
{"role": "volunteer", "content": "Oh, wait a minute, at 6 because um if you look at this value on the right.", "session_id": 16453, "sequence_id": 86, "annotations": []}
{"role": "volunteer", "content": "if you put in 6 there, it would also equal 0.", "session_id": 16453, "sequence_id": 87, "annotations": []}
{"role": "student", "content": "that would", "session_id": 16453, "sequence_id": 88, "annotations": []}
{"role": "volunteer", "content": "because it would be 36 minus", "session_id": 16453, "sequence_id": 89, "annotations": []}
{"role": "student", "content": "it's", "session_id": 16453, "sequence_id": 90, "annotations": []}
{"role": "volunteer", "content": "36. Uh, like if you look at the function F of X and look at the right", "session_id": 16453, "sequence_id": 91, "annotations": []}
{"role": "volunteer", "content": "You see that X minus 36.", "session_id": 16453, "sequence_id": 92, "annotations": []}
{"role": "student", "content": "um", "session_id": 16453, "sequence_id": 93, "annotations": []}
{"role": "volunteer", "content": "That could be X.", "session_id": 16453, "sequence_id": 94, "annotations": []}
{"role": "volunteer", "content": "basically, if you have a 6 there, it would also equal 0, right?", "session_id": 16453, "sequence_id": 95, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 16453, "sequence_id": 96, "annotations": []}
{"role": "volunteer", "content": "All right.", "session_id": 16453, "sequence_id": 97, "annotations": []}
{"role": "volunteer", "content": "Pretty sure", "session_id": 16453, "sequence_id": 98, "annotations": []}
{"role": "volunteer", "content": "So that would be", "session_id": 16453, "sequence_id": 99, "annotations": []}
{"role": "volunteer", "content": "X minus 6, and then", "session_id": 16453, "sequence_id": 100, "annotations": []}
{"role": "volunteer", "content": "X", "session_id": 16453, "sequence_id": 101, "annotations": []}
{"role": "volunteer", "content": "All right. So what are you thinking here?", "session_id": 16453, "sequence_id": 102, "annotations": []}
{"role": "student", "content": "Uh.", "session_id": 16453, "sequence_id": 103, "annotations": []}
{"role": "student", "content": "um", "session_id": 16453, "sequence_id": 104, "annotations": []}
{"role": "volunteer", "content": "So what I'm currently seeing is if you plug in X equals 6, you would have basically 3 things equaling 0.", "session_id": 16453, "sequence_id": 105, "annotations": []}
{"role": "volunteer", "content": "on X equals 6", "session_id": 16453, "sequence_id": 106, "annotations": []}
{"role": "student", "content": "if you what", "session_id": 16453, "sequence_id": 107, "annotations": []}
{"role": "student", "content": "Oh, if you plug in 6", "session_id": 16453, "sequence_id": 108, "annotations": []}
{"role": "volunteer", "content": "Oh wait, that's, yes.", "session_id": 16453, "sequence_id": 109, "annotations": []}
{"role": "student", "content": "what's the, what's the third one?", "session_id": 16453, "sequence_id": 110, "annotations": []}
{"role": "volunteer", "content": "Um, you see how it's X minus 36 2.", "session_id": 16453, "sequence_id": 111, "annotations": []}
{"role": "student", "content": "Yeah, that's, yeah, that.", "session_id": 16453, "sequence_id": 112, "annotations": []}
{"role": "volunteer", "content": "Yeah, so that would technically mean that I believe that there is 2 there.", "session_id": 16453, "sequence_id": 113, "annotations": []}
{"role": "volunteer", "content": "because that would, it would bex minus X minus 36, and then x minus 36 again.", "session_id": 16453, "sequence_id": 114, "annotations": []}
{"role": "volunteer", "content": "You understand how that works because there's two of them there.", "session_id": 16453, "sequence_id": 115, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 16453, "sequence_id": 116, "annotations": []}
{"role": "volunteer", "content": "All right. So, from looking at this currently,", "session_id": 16453, "sequence_id": 117, "annotations": []}
{"role": "volunteer", "content": "I think there are 3", "session_id": 16453, "sequence_id": 118, "annotations": []}
{"role": "volunteer", "content": "Like if, could you click show examples again?", "session_id": 16453, "sequence_id": 119, "annotations": []}
{"role": "volunteer", "content": "I'm sorry. I also have to relearn this myself.", "session_id": 16453, "sequence_id": 120, "annotations": []}
{"role": "volunteer", "content": "Could you scroll up", "session_id": 16453, "sequence_id": 121, "annotations": []}
{"role": "volunteer", "content": "I just want to look at the first part.", "session_id": 16453, "sequence_id": 122, "annotations": []}
{"role": "volunteer", "content": "So HFX is formed by multiplications, so exponents add", "session_id": 16453, "sequence_id": 123, "annotations": []}
{"role": "volunteer", "content": "so you", "session_id": 16453, "sequence_id": 124, "annotations": []}
{"role": "volunteer", "content": "X equals a factor X minus 8.", "session_id": 16453, "sequence_id": 125, "annotations": []}
{"role": "volunteer", "content": "OK, yeah. And then you find that fact. So the factor in two functions. So it'd be 3 x minus 8 cubed and then X + H.", "session_id": 16453, "sequence_id": 126, "annotations": []}
{"role": "student", "content": "I don't get this far. Like how do they, like what do they do with the functioning?", "session_id": 16453, "sequence_id": 127, "annotations": []}
{"role": "student", "content": "Is this was the original function, right?", "session_id": 16453, "sequence_id": 128, "annotations": []}
{"role": "volunteer", "content": "Um, scroll up", "session_id": 16453, "sequence_id": 129, "annotations": []}
{"role": "volunteer", "content": "Yes, that would be the original F of X and then G of X.", "session_id": 16453, "sequence_id": 130, "annotations": []}
{"role": "student", "content": "So like what is going on here?", "session_id": 16453, "sequence_id": 131, "annotations": []}
{"role": "volunteer", "content": "All right, so", "session_id": 16453, "sequence_id": 132, "annotations": []}
{"role": "student", "content": "00, GF X.", "session_id": 16453, "sequence_id": 133, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 16453, "sequence_id": 134, "annotations": []}
{"role": "student", "content": "But like, oh, the factor out this for 8.", "session_id": 16453, "sequence_id": 135, "annotations": []}
{"role": "student", "content": "M + 8", "session_id": 16453, "sequence_id": 136, "annotations": []}
{"role": "volunteer", "content": "Mhm. So,", "session_id": 16453, "sequence_id": 137, "annotations": []}
{"role": "student", "content": "Oh, OK, yeah", "session_id": 16453, "sequence_id": 138, "annotations": []}
{"role": "volunteer", "content": "if it looks like they would, you would add it together, like basically, you see how it's X minus 8 cubs.", "session_id": 16453, "sequence_id": 139, "annotations": []}
{"role": "volunteer", "content": "and then", "session_id": 16453, "sequence_id": 140, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 16453, "sequence_id": 141, "annotations": []}
{"role": "student", "content": "It's good, but I have a question. If the factor is X minus A, why are we also adding X + 8.", "session_id": 16453, "sequence_id": 142, "annotations": []}
{"role": "volunteer", "content": "Mhm.", "session_id": 16453, "sequence_id": 143, "annotations": []}
{"role": "student", "content": "because like they factored it out to be x minus A So like, why are we adding X per se with it.", "session_id": 16453, "sequence_id": 144, "annotations": []}
{"role": "volunteer", "content": "that's state X minus 14 and then X minus 8.", "session_id": 16453, "sequence_id": 145, "annotations": []}
{"role": "volunteer", "content": "331.", "session_id": 16453, "sequence_id": 146, "annotations": []}
{"role": "volunteer", "content": "Mhm.", "session_id": 16453, "sequence_id": 147, "annotations": []}
{"role": "volunteer", "content": "That is a good question.", "session_id": 16453, "sequence_id": 148, "annotations": []}
{"role": "volunteer", "content": "3 X minus 8 cubed.", "session_id": 16453, "sequence_id": 149, "annotations": []}
{"role": "volunteer", "content": "X +", "session_id": 16453, "sequence_id": 150, "annotations": []}
{"role": "volunteer", "content": "cubed", "session_id": 16453, "sequence_id": 151, "annotations": []}
{"role": "volunteer", "content": "and oh, OK, I see. So you see how", "session_id": 16453, "sequence_id": 152, "annotations": []}
{"role": "volunteer", "content": "that's just saying what it's, that's what H of X is equal to, right?", "session_id": 16453, "sequence_id": 153, "annotations": []}
{"role": "student", "content": "Right.", "session_id": 16453, "sequence_id": 154, "annotations": []}
{"role": "volunteer", "content": "But you see how we're not using that in the bottom expression.", "session_id": 16453, "sequence_id": 155, "annotations": []}
{"role": "volunteer", "content": "It would be 3 + 3.", "session_id": 16453, "sequence_id": 156, "annotations": []}
{"role": "volunteer", "content": "+ 1", "session_id": 16453, "sequence_id": 157, "annotations": []}
{"role": "volunteer", "content": "because you see how there's a, you see how the 3 is highlighted in that area, and the one has highlighted in the diagram.", "session_id": 16453, "sequence_id": 158, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 16453, "sequence_id": 159, "annotations": []}
{"role": "volunteer", "content": "So I think that would be the reason", "session_id": 16453, "sequence_id": 160, "annotations": []}
{"role": "volunteer", "content": "And then there's a 3 again in F of X.", "session_id": 16453, "sequence_id": 161, "annotations": []}
{"role": "volunteer", "content": "So you would add 3 from the F of X.", "session_id": 16453, "sequence_id": 162, "annotations": []}
{"role": "volunteer", "content": "3 from the H of X and then the 1.", "session_id": 16453, "sequence_id": 163, "annotations": []}
{"role": "student", "content": "because, oh yeah, cause it's more I fear", "session_id": 16453, "sequence_id": 164, "annotations": []}
{"role": "volunteer", "content": "Mhm.", "session_id": 16453, "sequence_id": 165, "annotations": []}
{"role": "student", "content": "when I think", "session_id": 16453, "sequence_id": 166, "annotations": []}
{"role": "student", "content": "one like here", "session_id": 16453, "sequence_id": 167, "annotations": []}
{"role": "student", "content": "Yeah, well, I just didn't understand where they got blood from.", "session_id": 16453, "sequence_id": 168, "annotations": []}
{"role": "volunteer", "content": "No problem. I also have to figure it out because I don't I don't remember doing it.", "session_id": 16453, "sequence_id": 169, "annotations": []}
{"role": "student", "content": "I need a, maybe it's an error.", "session_id": 16453, "sequence_id": 170, "annotations": []}
{"role": "student", "content": "Let me see this", "session_id": 16453, "sequence_id": 171, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 16453, "sequence_id": 172, "annotations": []}
{"role": "volunteer", "content": "All right, let's see. So we can see the X +1 in H in F of X and we see the X + 1 in G of X.", "session_id": 16453, "sequence_id": 173, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 16453, "sequence_id": 174, "annotations": []}
{"role": "volunteer", "content": "And so if we're trying to find X is equal to -1.", "session_id": 16453, "sequence_id": 175, "annotations": []}
{"role": "volunteer", "content": "Yeah, 1 + 1 equals 2. Yeah, so that one makes sense.", "session_id": 16453, "sequence_id": 176, "annotations": []}
{"role": "student", "content": "it makes sense. So this one would be like", "session_id": 16453, "sequence_id": 177, "annotations": []}
{"role": "volunteer", "content": "I think so we are finding it for X equals 6, right?", "session_id": 16453, "sequence_id": 178, "annotations": []}
{"role": "student", "content": "X minus 6, so this one.", "session_id": 16453, "sequence_id": 179, "annotations": []}
{"role": "student", "content": "And this", "session_id": 16453, "sequence_id": 180, "annotations": []}
{"role": "volunteer", "content": "So I think it would be X minus 6, that's 1, and then the y minus 36.", "session_id": 16453, "sequence_id": 181, "annotations": []}
{"role": "student", "content": "OK", "session_id": 16453, "sequence_id": 182, "annotations": []}
{"role": "student", "content": "that's", "session_id": 16453, "sequence_id": 183, "annotations": []}
{"role": "volunteer", "content": "would be", "session_id": 16453, "sequence_id": 184, "annotations": []}
{"role": "student", "content": "2", "session_id": 16453, "sequence_id": 185, "annotations": []}
{"role": "student", "content": "264", "session_id": 16453, "sequence_id": 186, "annotations": []}
{"role": "volunteer", "content": "2. So you would add those together, it would be 3.", "session_id": 16453, "sequence_id": 187, "annotations": []}
{"role": "volunteer", "content": "So try 3 1st.", "session_id": 16453, "sequence_id": 188, "annotations": []}
{"role": "volunteer", "content": "Yay", "session_id": 16453, "sequence_id": 189, "annotations": []}
{"role": "volunteer", "content": "So that was the correct answer", "session_id": 16453, "sequence_id": 190, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 16453, "sequence_id": 191, "annotations": []}
{"role": "volunteer", "content": "Good", "session_id": 16453, "sequence_id": 192, "annotations": []}
{"role": "volunteer", "content": "All right. So we", "session_id": 16453, "sequence_id": 193, "annotations": []}
{"role": "student", "content": "Coke. Oh, OK", "session_id": 16453, "sequence_id": 194, "annotations": []}
{"role": "volunteer", "content": "mhm, you see how it basically adds 3 in the", "session_id": 16453, "sequence_id": 195, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 16453, "sequence_id": 196, "annotations": []}
{"role": "volunteer", "content": "All right", "session_id": 16453, "sequence_id": 197, "annotations": []}
{"role": "volunteer", "content": "So let's go on to the next one", "session_id": 16453, "sequence_id": 198, "annotations": []}
{"role": "volunteer", "content": "OK.", "session_id": 16453, "sequence_id": 199, "annotations": []}
{"role": "student", "content": "What is the leading term of the polymomia. Oh, this is um 4.", "session_id": 16453, "sequence_id": 200, "annotations": []}
{"role": "volunteer", "content": "Are you sure", "session_id": 16453, "sequence_id": 201, "annotations": []}
{"role": "student", "content": "No, I gave 4 posts the negative one.", "session_id": 16453, "sequence_id": 202, "annotations": []}
{"role": "volunteer", "content": "Yup", "session_id": 16453, "sequence_id": 203, "annotations": []}
{"role": "volunteer", "content": "So can you explain to me why it's -1?", "session_id": 16453, "sequence_id": 204, "annotations": []}
{"role": "volunteer", "content": "Oh", "session_id": 16453, "sequence_id": 205, "annotations": []}
{"role": "student", "content": "So.", "session_id": 16453, "sequence_id": 206, "annotations": []}
{"role": "volunteer", "content": "apparently it's not negative 1. OK, let's look at it again.", "session_id": 16453, "sequence_id": 207, "annotations": []}
{"role": "volunteer", "content": "I thought it was -1", "session_id": 16453, "sequence_id": 208, "annotations": []}
{"role": "student", "content": "How is it not negative one. Whoops.", "session_id": 16453, "sequence_id": 209, "annotations": []}
{"role": "volunteer", "content": "10 + 4 X.", "session_id": 16453, "sequence_id": 210, "annotations": []}
{"role": "volunteer", "content": "minus X the 4th.", "session_id": 16453, "sequence_id": 211, "annotations": []}
{"role": "volunteer", "content": "+ 7 x cubed", "session_id": 16453, "sequence_id": 212, "annotations": []}
{"role": "volunteer", "content": "Is there", "session_id": 16453, "sequence_id": 213, "annotations": []}
{"role": "volunteer", "content": "is that a more? Is there more?", "session_id": 16453, "sequence_id": 214, "annotations": []}
{"role": "volunteer", "content": "No, that's it.", "session_id": 16453, "sequence_id": 215, "annotations": []}
{"role": "student", "content": "No, that's it, but let me see what it says.", "session_id": 16453, "sequence_id": 216, "annotations": []}
{"role": "student", "content": "Oh, it's a term, not the, oh, it's not actually", "session_id": 16453, "sequence_id": 217, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 16453, "sequence_id": 218, "annotations": []}
{"role": "student", "content": "Yeah.", "session_id": 16453, "sequence_id": 219, "annotations": []}
{"role": "student", "content": "for like", "session_id": 16453, "sequence_id": 220, "annotations": []}
{"role": "volunteer", "content": "Oh, not coefficient term. OK, that was both of our bats, but I'll, yeah, OK. So now it says, what is the leading term? and so this would be X to the 5th, good.", "session_id": 16453, "sequence_id": 221, "annotations": []}
{"role": "student", "content": "eggs, yeah", "session_id": 16453, "sequence_id": 222, "annotations": []}
{"role": "student", "content": "and those", "session_id": 16453, "sequence_id": 223, "annotations": []}
{"role": "volunteer", "content": "And then it's asking for the leading term again. And so this would be", "session_id": 16453, "sequence_id": 224, "annotations": []}
{"role": "volunteer", "content": "good.", "session_id": 16453, "sequence_id": 225, "annotations": []}
{"role": "student", "content": "oi fish. OK, now it's I can pull you pushing.", "session_id": 16453, "sequence_id": 226, "annotations": []}
{"role": "volunteer", "content": "Now it's coefficient. So what would this be? What would the highest", "session_id": 16453, "sequence_id": 227, "annotations": []}
{"role": "student", "content": "on the", "session_id": 16453, "sequence_id": 228, "annotations": []}
{"role": "volunteer", "content": "exponent be", "session_id": 16453, "sequence_id": 229, "annotations": []}
{"role": "volunteer", "content": "Yep", "session_id": 16453, "sequence_id": 230, "annotations": []}
{"role": "volunteer", "content": "Then leading coefficient again, 2. Good.", "session_id": 16453, "sequence_id": 231, "annotations": []}
{"role": "student", "content": "Did they", "session_id": 16453, "sequence_id": 232, "annotations": []}
{"role": "volunteer", "content": "So what is the highest, what is the degree of the polynomial F of X.", "session_id": 16453, "sequence_id": 233, "annotations": []}
{"role": "volunteer", "content": "And so can you tell me what", "session_id": 16453, "sequence_id": 234, "annotations": []}
{"role": "volunteer", "content": "hm?", "session_id": 16453, "sequence_id": 235, "annotations": []}
{"role": "student", "content": "it's for degree. Is it asking for eyes or like, it didn't say IS furlough, it just says.", "session_id": 16453, "sequence_id": 236, "annotations": []}
{"role": "volunteer", "content": "Well, it doesn't have to be the highest. The degree of a polynomial is the highest ex bonum.", "session_id": 16453, "sequence_id": 237, "annotations": []}
{"role": "student", "content": "Yeah, oh, OK", "session_id": 16453, "sequence_id": 238, "annotations": []}
{"role": "volunteer", "content": "So you would, so it would", "session_id": 16453, "sequence_id": 239, "annotations": []}
{"role": "volunteer", "content": "so if it, if, yes, it would be the highest numbered exponent there.", "session_id": 16453, "sequence_id": 240, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 16453, "sequence_id": 241, "annotations": []}
{"role": "student", "content": "OK", "session_id": 16453, "sequence_id": 242, "annotations": []}
{"role": "student", "content": "So it'll be 3", "session_id": 16453, "sequence_id": 243, "annotations": []}
{"role": "volunteer", "content": "Good", "session_id": 16453, "sequence_id": 244, "annotations": []}
{"role": "volunteer", "content": "Is this studying or is this an assignment?", "session_id": 16453, "sequence_id": 245, "annotations": []}
{"role": "student", "content": "It's both, but like", "session_id": 16453, "sequence_id": 246, "annotations": []}
{"role": "student", "content": "but like if you get like kind of, if you get", "session_id": 16453, "sequence_id": 247, "annotations": []}
{"role": "student", "content": "a question wrong, you could explain it to you, then you could do it over with a different question.", "session_id": 16453, "sequence_id": 248, "annotations": []}
{"role": "volunteer", "content": "All right", "session_id": 16453, "sequence_id": 249, "annotations": []}
{"role": "student", "content": "I like both", "session_id": 16453, "sequence_id": 250, "annotations": []}
{"role": "volunteer", "content": "All right, so what is, mhm, yeah, I got you. So what is the Y intercept of the polynomial? Do you know what the Y intercept is?", "session_id": 16453, "sequence_id": 251, "annotations": []}
{"role": "student", "content": "uh", "session_id": 16453, "sequence_id": 252, "annotations": []}
{"role": "student", "content": "is the EpiPen?", "session_id": 16453, "sequence_id": 253, "annotations": []}
{"role": "volunteer", "content": "Yep, so basically the Y intercept is basically where X would touch the y axis, right?", "session_id": 16453, "sequence_id": 254, "annotations": []}
{"role": "student", "content": "Mhm", "session_id": 16453, "sequence_id": 255, "annotations": []}
{"role": "volunteer", "content": "And so at the Y axis is when X equals 0.", "session_id": 16453, "sequence_id": 256, "annotations": []}
{"role": "student", "content": "Yeah. Also, uh,", "session_id": 16453, "sequence_id": 257, "annotations": []}
{"role": "volunteer", "content": "So you would plug in 0 to all of the X values, and that would be your Y intercept.", "session_id": 16453, "sequence_id": 258, "annotations": []}
{"role": "student", "content": "so F of 0, please.", "session_id": 16453, "sequence_id": 259, "annotations": []}
{"role": "student", "content": "What times 0 minus", "session_id": 16453, "sequence_id": 260, "annotations": []}
{"role": "student", "content": "0", "session_id": 16453, "sequence_id": 261, "annotations": []}
{"role": "volunteer", "content": "What do you think in here?", "session_id": 16453, "sequence_id": 262, "annotations": []}
{"role": "student", "content": "So the 0.", "session_id": 16453, "sequence_id": 263, "annotations": []}
{"role": "volunteer", "content": "That's what I got cause we would just plug in 0 for all of the X values.", "session_id": 16453, "sequence_id": 264, "annotations": []}
{"role": "student", "content": "and it's uh", "session_id": 16453, "sequence_id": 265, "annotations": []}
{"role": "volunteer", "content": "So 0 minus 0 minus 0.", "session_id": 16453, "sequence_id": 266, "annotations": []}
{"role": "volunteer", "content": "Good.", "session_id": 16453, "sequence_id": 267, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 16453, "sequence_id": 268, "annotations": []}
{"role": "volunteer", "content": "So remember that the Y intercept is just the", "session_id": 16453, "sequence_id": 269, "annotations": []}
{"role": "student", "content": "Was it always gonna be 0,000?", "session_id": 16453, "sequence_id": 270, "annotations": []}
{"role": "volunteer", "content": "it will not always be zero. Basically the Y intercept would be when X is equal to 0.", "session_id": 16453, "sequence_id": 271, "annotations": []}
{"role": "volunteer", "content": "So there are some like if there wasn't, like if there was just like a plus.", "session_id": 16453, "sequence_id": 272, "annotations": []}
{"role": "student", "content": "Oh", "session_id": 16453, "sequence_id": 273, "annotations": []}
{"role": "student", "content": "Oh yeah, yeah", "session_id": 16453, "sequence_id": 274, "annotations": []}
{"role": "volunteer", "content": "Yeah, so if there was like a +3 at the end, then it would be 3.", "session_id": 16453, "sequence_id": 275, "annotations": []}
{"role": "student", "content": "Yeah, without, without the eggs.", "session_id": 16453, "sequence_id": 276, "annotations": []}
{"role": "student", "content": "Yeah. E.", "session_id": 16453, "sequence_id": 277, "annotations": []}
{"role": "student", "content": "Oh, yeah", "session_id": 16453, "sequence_id": 278, "annotations": []}
{"role": "student", "content": "Oh yeah", "session_id": 16453, "sequence_id": 279, "annotations": []}
{"role": "student", "content": "20", "session_id": 16453, "sequence_id": 280, "annotations": []}
{"role": "volunteer", "content": "Or if it was like E to the X that to the zero, well, I'm just saying like if it was a number to the X and X is equals 0, then it would equal 1. But for the problems that have shown you so far, just remember that the Y intercept is when X, you said X equals 0.", "session_id": 16453, "sequence_id": 281, "annotations": []}
{"role": "volunteer", "content": "and it would be that value", "session_id": 16453, "sequence_id": 282, "annotations": []}
{"role": "volunteer", "content": "All right.", "session_id": 16453, "sequence_id": 283, "annotations": []}
{"role": "student", "content": "OK, I really do not like grafting.", "session_id": 16453, "sequence_id": 284, "annotations": []}
{"role": "volunteer", "content": "graph is shown below. What are all real solutions of FFX.", "session_id": 16453, "sequence_id": 285, "annotations": []}
{"role": "volunteer", "content": "equals 0", "session_id": 16453, "sequence_id": 286, "annotations": []}
{"role": "student", "content": "Would that be like the X numbers?", "session_id": 16453, "sequence_id": 287, "annotations": []}
{"role": "volunteer", "content": "Yep, it would be the X intercept.", "session_id": 16453, "sequence_id": 288, "annotations": []}
{"role": "student", "content": "Well, I, it was negative.", "session_id": 16453, "sequence_id": 289, "annotations": []}
{"role": "student", "content": "2.", "session_id": 16453, "sequence_id": 290, "annotations": []}
{"role": "volunteer", "content": "So is it asking you what are they? or is it asking you how many are there?", "session_id": 16453, "sequence_id": 291, "annotations": []}
{"role": "student", "content": "What are", "session_id": 16453, "sequence_id": 292, "annotations": []}
{"role": "volunteer", "content": "What are they? OK, so where would it cross the", "session_id": 16453, "sequence_id": 293, "annotations": []}
{"role": "volunteer", "content": "X-axis", "session_id": 16453, "sequence_id": 294, "annotations": []}
{"role": "student", "content": "negative 20, and 4.", "session_id": 16453, "sequence_id": 295, "annotations": []}
{"role": "volunteer", "content": "Good. And", "session_id": 16453, "sequence_id": 296, "annotations": []}
{"role": "volunteer", "content": "-204, you see how there's one more?", "session_id": 16453, "sequence_id": 297, "annotations": []}
{"role": "student", "content": "Oh", "session_id": 16453, "sequence_id": 298, "annotations": []}
{"role": "volunteer", "content": "Yeah, it would be every time it crosses the X axis.", "session_id": 16453, "sequence_id": 299, "annotations": []}
{"role": "student", "content": "8. I, well, I always forgetting that.", "session_id": 16453, "sequence_id": 300, "annotations": []}
{"role": "volunteer", "content": "No problem", "session_id": 16453, "sequence_id": 301, "annotations": []}
{"role": "student", "content": "OK, what is a conjugate?", "session_id": 16453, "sequence_id": 302, "annotations": []}
{"role": "volunteer", "content": "Uh, what is the conjugate of, all right, so this is for imaginary numbers, right?", "session_id": 16453, "sequence_id": 303, "annotations": []}
{"role": "student", "content": "Mhm", "session_id": 16453, "sequence_id": 304, "annotations": []}
{"role": "volunteer", "content": "So do you remember how they always come in pairs of two.", "session_id": 16453, "sequence_id": 305, "annotations": []}
{"role": "student", "content": "I kind of forgot", "session_id": 16453, "sequence_id": 306, "annotations": []}
{"role": "volunteer", "content": "No problem. So basically, when there is imaginary numbers, right? It would be a number minus that Y value and then that same number plus that, that y value.", "session_id": 16453, "sequence_id": 307, "annotations": []}
{"role": "volunteer", "content": "So", "session_id": 16453, "sequence_id": 308, "annotations": []}
{"role": "student", "content": "Hmm? Like, can you repeat that?", "session_id": 16453, "sequence_id": 309, "annotations": []}
{"role": "volunteer", "content": "yes, 4 negative numbers when they come in conjugate pairs.", "session_id": 16453, "sequence_id": 310, "annotations": []}
{"role": "student", "content": "Mm.", "session_id": 16453, "sequence_id": 311, "annotations": []}
{"role": "volunteer", "content": "Like you know how the quadratic formula is plus or minus that number.", "session_id": 16453, "sequence_id": 312, "annotations": []}
{"role": "student", "content": "Yeah.", "session_id": 16453, "sequence_id": 313, "annotations": []}
{"role": "volunteer", "content": "So it would be that's it, so like for here it's -8, right?", "session_id": 16453, "sequence_id": 314, "annotations": []}
{"role": "student", "content": "Mhm.", "session_id": 16453, "sequence_id": 315, "annotations": []}
{"role": "volunteer", "content": "So it would be -8, but then it would be plus and minus 5i. So if it's -8-5i, that would mean that there has to be a negative.", "session_id": 16453, "sequence_id": 316, "annotations": []}
{"role": "student", "content": "What?", "session_id": 16453, "sequence_id": 317, "annotations": []}
{"role": "volunteer", "content": "+5i", "session_id": 16453, "sequence_id": 318, "annotations": []}
{"role": "student", "content": "We're just changing the sign?", "session_id": 16453, "sequence_id": 319, "annotations": []}
{"role": "student", "content": "That's all it is", "session_id": 16453, "sequence_id": 320, "annotations": []}
{"role": "volunteer", "content": "Yes, you would be changing the sign of whatever value, yep.", "session_id": 16453, "sequence_id": 321, "annotations": []}
{"role": "student", "content": "Oh", "session_id": 16453, "sequence_id": 322, "annotations": []}
{"role": "volunteer", "content": "If it's a conjugate pair, it just means that", "session_id": 16453, "sequence_id": 323, "annotations": []}
{"role": "volunteer", "content": "it is", "session_id": 16453, "sequence_id": 324, "annotations": []}
{"role": "volunteer", "content": "like that", "session_id": 16453, "sequence_id": 325, "annotations": []}
{"role": "student", "content": "Mm.", "session_id": 16453, "sequence_id": 326, "annotations": []}
{"role": "student", "content": "He is scry.", "session_id": 16453, "sequence_id": 327, "annotations": []}
{"role": "volunteer", "content": "So what would this one be? -5 + 4i, that means there has to be a -5-4i. Good.", "session_id": 16453, "sequence_id": 328, "annotations": []}
{"role": "student", "content": "I hate grapping", "session_id": 16453, "sequence_id": 329, "annotations": []}
{"role": "volunteer", "content": "Oh no", "session_id": 16453, "sequence_id": 330, "annotations": []}
{"role": "student", "content": "I don't know. I don't know how to find like equations from graphs like this, like.", "session_id": 16453, "sequence_id": 331, "annotations": []}
{"role": "volunteer", "content": "Oh, no problem. Here. Uh, can I see the equation for a second? I also apologize, the laptop that I'm currently using is half broken, so I have to reserve you to one side of the screen.", "session_id": 16453, "sequence_id": 332, "annotations": []}
{"role": "student", "content": "OK", "session_id": 16453, "sequence_id": 333, "annotations": []}
{"role": "volunteer", "content": "And it can, can you scroll up so I can see the question?", "session_id": 16453, "sequence_id": 334, "annotations": []}
{"role": "volunteer", "content": "There we go. The which Aras in choice could represent the graph below. All right, so, so do you know what type of graph this is?", "session_id": 16453, "sequence_id": 335, "annotations": []}
{"role": "student", "content": "Um", "session_id": 16453, "sequence_id": 336, "annotations": []}
{"role": "student", "content": "uh, a quadratica.", "session_id": 16453, "sequence_id": 337, "annotations": []}
{"role": "volunteer", "content": "Good. So then what would it be?", "session_id": 16453, "sequence_id": 338, "annotations": []}
{"role": "volunteer", "content": "Like what would the degree be", "session_id": 16453, "sequence_id": 339, "annotations": []}
{"role": "student", "content": "2", "session_id": 16453, "sequence_id": 340, "annotations": []}
{"role": "volunteer", "content": "or the leading term be in this?", "session_id": 16453, "sequence_id": 341, "annotations": []}
{"role": "volunteer", "content": "Not 2, but you remember, so if it's a square, if it's a quadratic graph, that means the highest it goes is 2, right?", "session_id": 16453, "sequence_id": 342, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 16453, "sequence_id": 343, "annotations": []}
{"role": "volunteer", "content": "All right. So if we scroll down to the answers.", "session_id": 16453, "sequence_id": 344, "annotations": []}
{"role": "volunteer", "content": "OK, and then for this, right?", "session_id": 16453, "sequence_id": 345, "annotations": []}
{"role": "volunteer", "content": "So you see how", "session_id": 16453, "sequence_id": 346, "annotations": []}
{"role": "volunteer", "content": "you see how it crosses at -6 and then 1.", "session_id": 16453, "sequence_id": 347, "annotations": []}
{"role": "student", "content": "4", "session_id": 16453, "sequence_id": 348, "annotations": []}
{"role": "student", "content": "6", "session_id": 16453, "sequence_id": 349, "annotations": []}
{"role": "volunteer", "content": "So like if it's expanded like that, it, it basically already tells you the zeros of the function. So yeah, you would just find which ones it would equal -6 and then 1.", "session_id": 16453, "sequence_id": 350, "annotations": []}
{"role": "student", "content": "This is not part because", "session_id": 16453, "sequence_id": 351, "annotations": []}
{"role": "student", "content": "cute.", "session_id": 16453, "sequence_id": 352, "annotations": []}
{"role": "volunteer", "content": "Now, that would be a cubed graph. That would be if it also crossed at 0", "session_id": 16453, "sequence_id": 353, "annotations": []}
{"role": "volunteer", "content": "Does that make sense", "session_id": 16453, "sequence_id": 354, "annotations": []}
{"role": "student", "content": "Yes, I'm, I made a lot of sense.", "session_id": 16453, "sequence_id": 355, "annotations": []}
{"role": "volunteer", "content": "Good", "session_id": 16453, "sequence_id": 356, "annotations": []}
{"role": "volunteer", "content": "So let's have you on this one.", "session_id": 16453, "sequence_id": 357, "annotations": []}
{"role": "volunteer", "content": "So where does it cross at", "session_id": 16453, "sequence_id": 358, "annotations": []}
{"role": "student", "content": "The good face", "session_id": 16453, "sequence_id": 359, "annotations": []}
{"role": "student", "content": "8 and", "session_id": 16453, "sequence_id": 360, "annotations": []}
{"role": "student", "content": "0", "session_id": 16453, "sequence_id": 361, "annotations": []}
{"role": "volunteer", "content": "Mhm.", "session_id": 16453, "sequence_id": 362, "annotations": []}
{"role": "student", "content": "will be", "session_id": 16453, "sequence_id": 363, "annotations": []}
{"role": "student", "content": "2.", "session_id": 16453, "sequence_id": 364, "annotations": []}
{"role": "volunteer", "content": "So do you see how it says X minus 64?", "session_id": 16453, "sequence_id": 365, "annotations": []}
{"role": "student", "content": "Yeah, that's 8 and 8", "session_id": 16453, "sequence_id": 366, "annotations": []}
{"role": "volunteer", "content": "Yeah, because that would be a perfect square, right?", "session_id": 16453, "sequence_id": 367, "annotations": []}
{"role": "student", "content": "Yeah, but like,", "session_id": 16453, "sequence_id": 368, "annotations": []}
{"role": "student", "content": "what?", "session_id": 16453, "sequence_id": 369, "annotations": []}
{"role": "student", "content": "um, what's his name?", "session_id": 16453, "sequence_id": 370, "annotations": []}
{"role": "student", "content": "Like, what is this like, like why is there like, how do you find what the zero is like.", "session_id": 16453, "sequence_id": 371, "annotations": []}
{"role": "volunteer", "content": "Well, you said that it's -8 and 8, right?", "session_id": 16453, "sequence_id": 372, "annotations": []}
{"role": "student", "content": "Yeah, but the 0", "session_id": 16453, "sequence_id": 373, "annotations": []}
{"role": "volunteer", "content": "So what would the 0 be? Look on, look on the first two.", "session_id": 16453, "sequence_id": 374, "annotations": []}
{"role": "volunteer", "content": "You see how it's just X", "session_id": 16453, "sequence_id": 375, "annotations": []}
{"role": "student", "content": "Yeah, but like, wouldn't it be cute?", "session_id": 16453, "sequence_id": 376, "annotations": []}
{"role": "volunteer", "content": "Yeah, that is a cubed graph", "session_id": 16453, "sequence_id": 377, "annotations": []}
{"role": "student", "content": "Oh, this, oh.", "session_id": 16453, "sequence_id": 378, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 16453, "sequence_id": 379, "annotations": []}
{"role": "volunteer", "content": "You see how it goes up and then down and then up. You see how the, the um degree of the graph is how many times it crossed or how many times it can cross the x-axis.", "session_id": 16453, "sequence_id": 380, "annotations": []}
{"role": "student", "content": "Oh, I see um.", "session_id": 16453, "sequence_id": 381, "annotations": []}
{"role": "volunteer", "content": "So if it if it can cross the x-axis 4 times. That means it's a", "session_id": 16453, "sequence_id": 382, "annotations": []}
{"role": "student", "content": "The the", "session_id": 16453, "sequence_id": 383, "annotations": []}
{"role": "student", "content": "do more", "session_id": 16453, "sequence_id": 384, "annotations": []}
{"role": "volunteer", "content": "or power.", "session_id": 16453, "sequence_id": 385, "annotations": []}
{"role": "volunteer", "content": "But see how this can only cross 3 times, like no matter what you put it as.", "session_id": 16453, "sequence_id": 386, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 16453, "sequence_id": 387, "annotations": []}
{"role": "volunteer", "content": "Oh, it is a cubed graph", "session_id": 16453, "sequence_id": 388, "annotations": []}
{"role": "volunteer", "content": "and it crosses at 88 and then that X on the outside is 0.", "session_id": 16453, "sequence_id": 389, "annotations": []}
{"role": "volunteer", "content": "Which equation represents the graph shown below. OK, so you see how it, um, dips and then comes back up, not crossing the x-axis, but touching it.", "session_id": 16453, "sequence_id": 390, "annotations": []}
{"role": "volunteer", "content": "on -3 and 6", "session_id": 16453, "sequence_id": 391, "annotations": []}
{"role": "volunteer", "content": "you see how it like does a quadratic on top of it.", "session_id": 16453, "sequence_id": 392, "annotations": []}
{"role": "volunteer", "content": "Can you hear me", "session_id": 16453, "sequence_id": 393, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 16453, "sequence_id": 394, "annotations": []}
{"role": "volunteer", "content": "Oh, sorry. You're, it seems like your mic cut out a little bit. Can you hear me?", "session_id": 16453, "sequence_id": 395, "annotations": []}
{"role": "volunteer", "content": "Mm", "session_id": 16453, "sequence_id": 396, "annotations": []}
{"role": "volunteer", "content": "One second, I'm gonna go down.", "session_id": 16453, "sequence_id": 397, "annotations": []}
{"role": "student", "content": "Hello", "session_id": 16453, "sequence_id": 398, "annotations": []}
{"role": "volunteer", "content": "It seems to use hello. Yes, now I can hear you.", "session_id": 16453, "sequence_id": 399, "annotations": []}
{"role": "student", "content": "I might, I might cuddle.", "session_id": 16453, "sequence_id": 400, "annotations": []}
{"role": "volunteer", "content": "No, no problem. Uh, you did stop sharing your screen though.", "session_id": 16453, "sequence_id": 401, "annotations": []}
{"role": "student", "content": "Oh.", "session_id": 16453, "sequence_id": 402, "annotations": []}
{"role": "student", "content": "I mean, it's that", "session_id": 16453, "sequence_id": 403, "annotations": []}
{"role": "volunteer", "content": "So just tell me when you're sharing your screen again.", "session_id": 16453, "sequence_id": 404, "annotations": []}
{"role": "student", "content": "Hello", "session_id": 16453, "sequence_id": 405, "annotations": []}
{"role": "volunteer", "content": "Hello, I can hear you", "session_id": 16453, "sequence_id": 406, "annotations": []}
{"role": "volunteer", "content": "Oh, you are kind of muffled though.", "session_id": 16453, "sequence_id": 407, "annotations": []}
{"role": "student", "content": "Yes, I'm trying to", "session_id": 16453, "sequence_id": 408, "annotations": []}
{"role": "student", "content": "you know.", "session_id": 16453, "sequence_id": 409, "annotations": []}
{"role": "student", "content": "but it's not", "session_id": 16453, "sequence_id": 410, "annotations": []}
{"role": "student", "content": "po pp ing up.", "session_id": 16453, "sequence_id": 411, "annotations": []}
{"role": "student", "content": "s", "session_id": 16453, "sequence_id": 412, "annotations": []}
{"role": "volunteer", "content": "OK, no problem. We can do it from here. So you", "session_id": 16453, "sequence_id": 413, "annotations": []}
{"role": "student", "content": "I sit up and, and come back to it.", "session_id": 16453, "sequence_id": 414, "annotations": []}
{"role": "volunteer", "content": "mhm", "session_id": 16453, "sequence_id": 415, "annotations": []}
{"role": "volunteer", "content": "So you know how, one moment, I shall return shortly. I want to see", "session_id": 16453, "sequence_id": 416, "annotations": []}
{"role": "volunteer", "content": "if cats are OK", "session_id": 16453, "sequence_id": 417, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 16453, "sequence_id": 418, "annotations": []}
{"role": "volunteer", "content": "I'm", "session_id": 16453, "sequence_id": 419, "annotations": []}
{"role": "volunteer", "content": "interestingly", "session_id": 16453, "sequence_id": 420, "annotations": []}
{"role": "volunteer", "content": "Hello, sorry about that. I have returned.", "session_id": 16453, "sequence_id": 421, "annotations": []}
{"role": "volunteer", "content": "You know seems like you either have bad internet or like you're far away from your mic, but I do see your oh, I just want to wait, where'd your screen go?", "session_id": 16453, "sequence_id": 422, "annotations": []}
{"role": "student", "content": "Can you hear me", "session_id": 16453, "sequence_id": 423, "annotations": []}
{"role": "volunteer", "content": "Yes, now I can", "session_id": 16453, "sequence_id": 424, "annotations": []}
{"role": "student", "content": "OK. I'm", "session_id": 16453, "sequence_id": 425, "annotations": []}
{"role": "volunteer", "content": "OK, I can see your screen now. Can you try talking?", "session_id": 16453, "sequence_id": 426, "annotations": []}
{"role": "student", "content": "Yeah, can you hear me?", "session_id": 16453, "sequence_id": 427, "annotations": []}
{"role": "volunteer", "content": "Yes, now I can", "session_id": 16453, "sequence_id": 428, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 16453, "sequence_id": 429, "annotations": []}
{"role": "volunteer", "content": "OK. So you see how it does a dip and then comes back up at -3, like it's a quadratic.", "session_id": 16453, "sequence_id": 430, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 16453, "sequence_id": 431, "annotations": []}
{"role": "volunteer", "content": "All right, so basically when it", "session_id": 16453, "sequence_id": 432, "annotations": []}
{"role": "student", "content": "Wait, how is it quadratic? Isn't it exponent since like it goes like 2 times.", "session_id": 16453, "sequence_id": 433, "annotations": []}
{"role": "volunteer", "content": "Yes, this would be to the 4th.", "session_id": 16453, "sequence_id": 434, "annotations": []}
{"role": "student", "content": "24", "session_id": 16453, "sequence_id": 435, "annotations": []}
{"role": "volunteer", "content": "but you, not like that would, that's what the graph entirely would be. You see how it goes.", "session_id": 16453, "sequence_id": 436, "annotations": []}
{"role": "student", "content": "Oh he's cute.", "session_id": 16453, "sequence_id": 437, "annotations": []}
{"role": "volunteer", "content": "No, cubed only goes, um, it, it comes from down and then goes up, down up. This one goes up, down, up, down, up.", "session_id": 16453, "sequence_id": 438, "annotations": []}
{"role": "student", "content": "So.", "session_id": 16453, "sequence_id": 439, "annotations": []}
{"role": "volunteer", "content": "Like a cubed would only have it go like that once.", "session_id": 16453, "sequence_id": 440, "annotations": []}
{"role": "volunteer", "content": "But you see how at", "session_id": 16453, "sequence_id": 441, "annotations": []}
{"role": "volunteer", "content": "um -3 and 6, it does a thing like a quadratic would do.", "session_id": 16453, "sequence_id": 442, "annotations": []}
{"role": "student", "content": "such is the, the thing like this.", "session_id": 16453, "sequence_id": 443, "annotations": []}
{"role": "volunteer", "content": "Yeah, it touches the graph once and then comes back up.", "session_id": 16453, "sequence_id": 444, "annotations": []}
{"role": "student", "content": "Yeah.", "session_id": 16453, "sequence_id": 445, "annotations": []}
{"role": "volunteer", "content": "Basically, it is a quadratic at that", "session_id": 16453, "sequence_id": 446, "annotations": []}
{"role": "volunteer", "content": "location. So the multiplicity there, remember how we were talking about multiplicities before?", "session_id": 16453, "sequence_id": 447, "annotations": []}
{"role": "volunteer", "content": "What like our first question", "session_id": 16453, "sequence_id": 448, "annotations": []}
{"role": "volunteer", "content": "Uh oh.", "session_id": 16453, "sequence_id": 449, "annotations": []}
{"role": "volunteer", "content": "it appears you have", "session_id": 16453, "sequence_id": 450, "annotations": []}
{"role": "volunteer", "content": "left again", "session_id": 16453, "sequence_id": 451, "annotations": []}
{"role": "student", "content": "Hello", "session_id": 16453, "sequence_id": 452, "annotations": []}
{"role": "volunteer", "content": "Hello, I can hear you now", "session_id": 16453, "sequence_id": 453, "annotations": []}
{"role": "student", "content": "I, I don't know why. It's", "session_id": 16453, "sequence_id": 454, "annotations": []}
{"role": "student", "content": "yeah.", "session_id": 16453, "sequence_id": 455, "annotations": []}
{"role": "volunteer", "content": "No problem. But either way, I was explaining that, you know how we talked about multiplicities at the start of the session.", "session_id": 16453, "sequence_id": 456, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 16453, "sequence_id": 457, "annotations": []}
{"role": "volunteer", "content": "Well, there would be a multiplicity on those two spots, and the, it would be a multiplicity of 2.", "session_id": 16453, "sequence_id": 458, "annotations": []}
{"role": "volunteer", "content": "Basically, it would become 0 there twice, which is why it bounces up off of the graph.", "session_id": 16453, "sequence_id": 459, "annotations": []}
{"role": "volunteer", "content": "Does that make sense", "session_id": 16453, "sequence_id": 460, "annotations": []}
{"role": "student", "content": "Can you hear me", "session_id": 16453, "sequence_id": 461, "annotations": []}
{"role": "volunteer", "content": "I am. Yes, I can hear you now.", "session_id": 16453, "sequence_id": 462, "annotations": []}
{"role": "volunteer", "content": "And I have your screen again", "session_id": 16453, "sequence_id": 463, "annotations": []}
{"role": "volunteer", "content": "You are sort of muffled, however.", "session_id": 16453, "sequence_id": 464, "annotations": []}
{"role": "student", "content": "Oh wait, can you hear me now", "session_id": 16453, "sequence_id": 465, "annotations": []}
{"role": "volunteer", "content": "Yes, now I can", "session_id": 16453, "sequence_id": 466, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 16453, "sequence_id": 467, "annotations": []}
{"role": "volunteer", "content": "All right. So you see how it bounces up off of those two though?", "session_id": 16453, "sequence_id": 468, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 16453, "sequence_id": 469, "annotations": []}
{"role": "volunteer", "content": "So that would be a multiplicity of two there, because it's basically a quadratic, so it reaches zero there twice.", "session_id": 16453, "sequence_id": 470, "annotations": []}
{"role": "student", "content": "OK", "session_id": 16453, "sequence_id": 471, "annotations": []}
{"role": "volunteer", "content": "And so that's why there's a squared there, because if it bounces off of the graph like that, it means that it reaches that function as a zero twice.", "session_id": 16453, "sequence_id": 472, "annotations": []}
{"role": "volunteer", "content": "Does that make sense", "session_id": 16453, "sequence_id": 473, "annotations": []}
{"role": "student", "content": "Oh, so like, if it doesn't cross it, is what you're saying?", "session_id": 16453, "sequence_id": 474, "annotations": []}
{"role": "volunteer", "content": "Yeah. So if it doesn't cross it and it bounces back from where it came, that means there's a multiplicity there of 2.", "session_id": 16453, "sequence_id": 475, "annotations": []}
{"role": "student", "content": "So what do you mean bounce back? Like, do you mean like", "session_id": 16453, "sequence_id": 476, "annotations": []}
{"role": "volunteer", "content": "But you notice how at -3 it doesn't cross the x-axis, it goes back up afterwards.", "session_id": 16453, "sequence_id": 477, "annotations": []}
{"role": "student", "content": "Yeah, yeah. Yeah, yeah.", "session_id": 16453, "sequence_id": 478, "annotations": []}
{"role": "volunteer", "content": "That would be a bouncing back.", "session_id": 16453, "sequence_id": 479, "annotations": []}
{"role": "student", "content": "Like, like it stays like on the past like it stays on like.", "session_id": 16453, "sequence_id": 480, "annotations": []}
{"role": "student", "content": "it it didn't and it like it didn't like it doesn't cross this.", "session_id": 16453, "sequence_id": 481, "annotations": []}
{"role": "student", "content": "that", "session_id": 16453, "sequence_id": 482, "annotations": []}
{"role": "volunteer", "content": "Correct, yeah. You see how it goes back up", "session_id": 16453, "sequence_id": 483, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 16453, "sequence_id": 484, "annotations": []}
{"role": "volunteer", "content": "Yeah, so that would be why.", "session_id": 16453, "sequence_id": 485, "annotations": []}
{"role": "student", "content": "It's quadratic", "session_id": 16453, "sequence_id": 486, "annotations": []}
{"role": "student", "content": "so it's 2 times", "session_id": 16453, "sequence_id": 487, "annotations": []}
{"role": "student", "content": "Hm.", "session_id": 16453, "sequence_id": 488, "annotations": []}
{"role": "student", "content": "I can't hear you", "session_id": 16453, "sequence_id": 489, "annotations": []}
{"role": "student", "content": "Hello", "session_id": 16453, "sequence_id": 490, "annotations": []}
{"role": "student", "content": "Are you talking", "session_id": 16453, "sequence_id": 491, "annotations": []}
{"role": "student", "content": "I can't hear you", "session_id": 16453, "sequence_id": 492, "annotations": []}
{"role": "student", "content": "Uh", "session_id": 16453, "sequence_id": 493, "annotations": []}
{"role": "student", "content": "hello?", "session_id": 16453, "sequence_id": 494, "annotations": []}
{"role": "student", "content": "Can you hear me? I can't hear you.", "session_id": 16453, "sequence_id": 495, "annotations": []}
{"role": "volunteer", "content": "Hello, can you hear me", "session_id": 16453, "sequence_id": 496, "annotations": []}
{"role": "student", "content": "Yeah, yeah, now I can hear you", "session_id": 16453, "sequence_id": 497, "annotations": []}
{"role": "volunteer", "content": "OK. I, so sorry. I tried joining on my phone because the screen wasn't working, but my phone doesn't allow the mic.", "session_id": 16453, "sequence_id": 498, "annotations": []}
{"role": "volunteer", "content": "but I am back now and I have your screenish.", "session_id": 16453, "sequence_id": 499, "annotations": []}
{"role": "student", "content": "OK", "session_id": 16453, "sequence_id": 500, "annotations": []}
{"role": "student", "content": "So it will be", "session_id": 16453, "sequence_id": 501, "annotations": []}
{"role": "student", "content": "so 3 would beX + 3 and X + 6.", "session_id": 16453, "sequence_id": 502, "annotations": []}
{"role": "student", "content": "So would it", "session_id": 16453, "sequence_id": 503, "annotations": []}
{"role": "volunteer", "content": "Would it be X + X", "session_id": 16453, "sequence_id": 504, "annotations": []}
{"role": "student", "content": "oh no, X minus 6.", "session_id": 16453, "sequence_id": 505, "annotations": []}
{"role": "volunteer", "content": "Yes, and then they'd both be squared because you see how they bounce.", "session_id": 16453, "sequence_id": 506, "annotations": []}
{"role": "student", "content": "It bounces back", "session_id": 16453, "sequence_id": 507, "annotations": []}
{"role": "volunteer", "content": "Yeah.", "session_id": 16453, "sequence_id": 508, "annotations": []}
{"role": "volunteer", "content": "Good job", "session_id": 16453, "sequence_id": 509, "annotations": []}
{"role": "student", "content": "OK", "session_id": 16453, "sequence_id": 510, "annotations": []}
{"role": "student", "content": "The degree of X, bro, how do I know the degree of the headaches?", "session_id": 16453, "sequence_id": 511, "annotations": []}
{"role": "volunteer", "content": "Well, you see how, remember what I said, the degree of X is how many times it would.", "session_id": 16453, "sequence_id": 512, "annotations": []}
{"role": "volunteer", "content": "it can go across the X-axis.", "session_id": 16453, "sequence_id": 513, "annotations": []}
{"role": "volunteer", "content": "right", "session_id": 16453, "sequence_id": 514, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 16453, "sequence_id": 515, "annotations": []}
{"role": "volunteer", "content": "All right. So, can you count how many times it would? Remember to take into account that it did a bounce.", "session_id": 16453, "sequence_id": 516, "annotations": []}
{"role": "student", "content": "OK, so, first,", "session_id": 16453, "sequence_id": 517, "annotations": []}
{"role": "student", "content": "the first one", "session_id": 16453, "sequence_id": 518, "annotations": []}
{"role": "volunteer", "content": "um", "session_id": 16453, "sequence_id": 519, "annotations": []}
{"role": "student", "content": "would be twice but they will be 2. And then this a bust bag, so like,", "session_id": 16453, "sequence_id": 520, "annotations": []}
{"role": "student", "content": "was it cute", "session_id": 16453, "sequence_id": 521, "annotations": []}
{"role": "volunteer", "content": "so how many would be there. I believe that would just be squared because.", "session_id": 16453, "sequence_id": 522, "annotations": []}
{"role": "student", "content": "Yeah, cause, cause the", "session_id": 16453, "sequence_id": 523, "annotations": []}
{"role": "volunteer", "content": "if it's cubed, it would go down again.", "session_id": 16453, "sequence_id": 524, "annotations": []}
{"role": "student", "content": "OK, so this square, so", "session_id": 16453, "sequence_id": 525, "annotations": []}
{"role": "volunteer", "content": "And then", "session_id": 16453, "sequence_id": 526, "annotations": []}
{"role": "student", "content": "so what is this", "session_id": 16453, "sequence_id": 527, "annotations": []}
{"role": "student", "content": "Would it be cute", "session_id": 16453, "sequence_id": 528, "annotations": []}
{"role": "volunteer", "content": "that's just one more, isn't it? Cause it crosses it once again.", "session_id": 16453, "sequence_id": 529, "annotations": []}
{"role": "volunteer", "content": "No.", "session_id": 16453, "sequence_id": 530, "annotations": []}
{"role": "student", "content": "So like, it, it, they're all square", "session_id": 16453, "sequence_id": 531, "annotations": []}
{"role": "volunteer", "content": "No. See how, here, I don't know if I can. So you go to the first one, right?", "session_id": 16453, "sequence_id": 532, "annotations": []}
{"role": "student", "content": "Yeah.", "session_id": 16453, "sequence_id": 533, "annotations": []}
{"role": "volunteer", "content": "So that's one because it crosses the X-axis once.", "session_id": 16453, "sequence_id": 534, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 16453, "sequence_id": 535, "annotations": []}
{"role": "volunteer", "content": "and then go to the point where it crosses again, that's 2, right? Cause it just goes all the way through.", "session_id": 16453, "sequence_id": 536, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 16453, "sequence_id": 537, "annotations": []}
{"role": "volunteer", "content": "And then the third one, you see how it bounces.", "session_id": 16453, "sequence_id": 538, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 16453, "sequence_id": 539, "annotations": []}
{"role": "volunteer", "content": "So it's really going", "session_id": 16453, "sequence_id": 540, "annotations": []}
{"role": "volunteer", "content": "34", "session_id": 16453, "sequence_id": 541, "annotations": []}
{"role": "student", "content": "So it touches, oh, it touches the excesses 4 times.", "session_id": 16453, "sequence_id": 542, "annotations": []}
{"role": "volunteer", "content": "and then there's one at the end for 5.", "session_id": 16453, "sequence_id": 543, "annotations": []}
{"role": "student", "content": "Wait, so is it 1", "session_id": 16453, "sequence_id": 544, "annotations": []}
{"role": "student", "content": "2", "session_id": 16453, "sequence_id": 545, "annotations": []}
{"role": "student", "content": "3", "session_id": 16453, "sequence_id": 546, "annotations": []}
{"role": "student", "content": "45", "session_id": 16453, "sequence_id": 547, "annotations": []}
{"role": "volunteer", "content": "Yes, but I noticed you moved it a little bit for 3 and 4. I want you to know that the 3 and 4 would be the exact same point.", "session_id": 16453, "sequence_id": 548, "annotations": []}
{"role": "volunteer", "content": "But because it", "session_id": 16453, "sequence_id": 549, "annotations": []}
{"role": "student", "content": "Oh, that's why.", "session_id": 16453, "sequence_id": 550, "annotations": []}
{"role": "student", "content": "Mm.", "session_id": 16453, "sequence_id": 551, "annotations": []}
{"role": "student", "content": "Mm", "session_id": 16453, "sequence_id": 552, "annotations": []}
{"role": "volunteer", "content": "because it's X squad there, cause it's squared there, like, you know how it was -3 and 6 on the last one.", "session_id": 16453, "sequence_id": 553, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 16453, "sequence_id": 554, "annotations": []}
{"role": "volunteer", "content": "because it has a multiplicity of 2, it counts as 2.", "session_id": 16453, "sequence_id": 555, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 16453, "sequence_id": 556, "annotations": []}
{"role": "volunteer", "content": "All right, so it would be 12, and then that point in the middle would be 34, and then that 1 at the end would be 5.", "session_id": 16453, "sequence_id": 557, "annotations": []}
{"role": "volunteer", "content": "Does that make sense", "session_id": 16453, "sequence_id": 558, "annotations": []}
{"role": "student", "content": "Mhm. So what does that mean the degree is?", "session_id": 16453, "sequence_id": 559, "annotations": []}
{"role": "student", "content": "Oh", "session_id": 16453, "sequence_id": 560, "annotations": []}
{"role": "student", "content": "Oh", "session_id": 16453, "sequence_id": 561, "annotations": []}
{"role": "volunteer", "content": "So that would mean the degree is 5 because it has the potential to touch the x-axis 5 times.", "session_id": 16453, "sequence_id": 562, "annotations": []}
{"role": "student", "content": "OK", "session_id": 16453, "sequence_id": 563, "annotations": []}
{"role": "volunteer", "content": "right?", "session_id": 16453, "sequence_id": 564, "annotations": []}
{"role": "student", "content": "Yeah, hold on", "session_id": 16453, "sequence_id": 565, "annotations": []}
{"role": "volunteer", "content": "All right", "session_id": 16453, "sequence_id": 566, "annotations": []}
{"role": "student", "content": "Something is stuck in my teeth.", "session_id": 16453, "sequence_id": 567, "annotations": []}
{"role": "student", "content": "All right", "session_id": 16453, "sequence_id": 568, "annotations": []}
{"role": "student", "content": "Odd", "session_id": 16453, "sequence_id": 569, "annotations": []}
{"role": "student", "content": "And the leading toy fishing.", "session_id": 16453, "sequence_id": 570, "annotations": []}
{"role": "student", "content": "How would we know the leading coefficient is negative or positive", "session_id": 16453, "sequence_id": 571, "annotations": []}
{"role": "volunteer", "content": "Uh, let's see", "session_id": 16453, "sequence_id": 572, "annotations": []}
{"role": "volunteer", "content": "So you see how the graph is facing up towards the negative and then down towards the positive.", "session_id": 16453, "sequence_id": 573, "annotations": []}
{"role": "student", "content": "Mhm", "session_id": 16453, "sequence_id": 574, "annotations": []}
{"role": "volunteer", "content": "So if it's X the 5th.", "session_id": 16453, "sequence_id": 575, "annotations": []}
{"role": "student", "content": "Mhm", "session_id": 16453, "sequence_id": 576, "annotations": []}
{"role": "volunteer", "content": "that means that it has to be, so if it goes towards the negative.", "session_id": 16453, "sequence_id": 577, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 16453, "sequence_id": 578, "annotations": []}
{"role": "volunteer", "content": "what, what would it, what would it go to in an X 5th function.", "session_id": 16453, "sequence_id": 579, "annotations": []}
{"role": "volunteer", "content": "Normally", "session_id": 16453, "sequence_id": 580, "annotations": []}
{"role": "volunteer", "content": "if it's positive", "session_id": 16453, "sequence_id": 581, "annotations": []}
{"role": "volunteer", "content": "Like what's -1 x 5.", "session_id": 16453, "sequence_id": 582, "annotations": []}
{"role": "student", "content": "Mhm", "session_id": 16453, "sequence_id": 583, "annotations": []}
{"role": "volunteer", "content": "The answer would be -1, right? Because -1 multiplied by itself 5 times, is still -1.", "session_id": 16453, "sequence_id": 584, "annotations": []}
{"role": "student", "content": "you", "session_id": 16453, "sequence_id": 585, "annotations": []}
{"role": "volunteer", "content": "But you see how that's going to the positive direction.", "session_id": 16453, "sequence_id": 586, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 16453, "sequence_id": 587, "annotations": []}
{"role": "volunteer", "content": "So that means that it has to be negative in the front.", "session_id": 16453, "sequence_id": 588, "annotations": []}
{"role": "student", "content": "this one", "session_id": 16453, "sequence_id": 589, "annotations": []}
{"role": "volunteer", "content": "because, yeah, because you see how it's becoming positive, even though it's going in the negative direction.", "session_id": 16453, "sequence_id": 590, "annotations": []}
{"role": "student", "content": "the lead in", "session_id": 16453, "sequence_id": 591, "annotations": []}
{"role": "volunteer", "content": "Yes.", "session_id": 16453, "sequence_id": 592, "annotations": []}
{"role": "student", "content": "Which one is lead in", "session_id": 16453, "sequence_id": 593, "annotations": []}
{"role": "volunteer", "content": "The leading would be the one at the highest degree.", "session_id": 16453, "sequence_id": 594, "annotations": []}
{"role": "student", "content": "I thought they all had the same degree.", "session_id": 16453, "sequence_id": 595, "annotations": []}
{"role": "volunteer", "content": "No, because", "session_id": 16453, "sequence_id": 596, "annotations": []}
{"role": "volunteer", "content": "like you see how it would be, no, because it the maximum amount.", "session_id": 16453, "sequence_id": 597, "annotations": []}
{"role": "volunteer", "content": "of degree it can have is the amount of times it crosses the X-axis. So the highest one there has to be x 5.", "session_id": 16453, "sequence_id": 598, "annotations": []}
{"role": "student", "content": "So how would we know which one is exceed.", "session_id": 16453, "sequence_id": 599, "annotations": []}
{"role": "volunteer", "content": "You don't need to know which one's x 5.", "session_id": 16453, "sequence_id": 600, "annotations": []}
{"role": "student", "content": "Oh", "session_id": 16453, "sequence_id": 601, "annotations": []}
{"role": "volunteer", "content": "You just have to know that the entire graph, it's leading one is X.", "session_id": 16453, "sequence_id": 602, "annotations": []}
{"role": "student", "content": "Oh, so the lead coefficient would be 1.", "session_id": 16453, "sequence_id": 603, "annotations": []}
{"role": "student", "content": "So", "session_id": 16453, "sequence_id": 604, "annotations": []}
{"role": "volunteer", "content": "Well, it wouldn't be one, but it would be because I guarantee when you open that box, it's going to say positive or negative.", "session_id": 16453, "sequence_id": 605, "annotations": []}
{"role": "volunteer", "content": "Right", "session_id": 16453, "sequence_id": 606, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 16453, "sequence_id": 607, "annotations": []}
{"role": "volunteer", "content": "Open it", "session_id": 16453, "sequence_id": 608, "annotations": []}
{"role": "student", "content": "I did open it", "session_id": 16453, "sequence_id": 609, "annotations": []}
{"role": "volunteer", "content": "Oh, OK, sorry, you're slow.", "session_id": 16453, "sequence_id": 610, "annotations": []}
{"role": "student", "content": "You can't see? Oh, it's, it's lagging.", "session_id": 16453, "sequence_id": 611, "annotations": []}
{"role": "student", "content": "I'm literally opening it right now, but it does say pa positive or negative.", "session_id": 16453, "sequence_id": 612, "annotations": []}
{"role": "student", "content": "Yeah.", "session_id": 16453, "sequence_id": 613, "annotations": []}
{"role": "volunteer", "content": "Right? Yeah, so basically if it's going positive, even though it's increasing in the negative direction. What does that tell you?", "session_id": 16453, "sequence_id": 614, "annotations": []}
{"role": "student", "content": "It's positive", "session_id": 16453, "sequence_id": 615, "annotations": []}
{"role": "volunteer", "content": "It has to be negative, right?", "session_id": 16453, "sequence_id": 616, "annotations": []}
{"role": "student", "content": "Oh", "session_id": 16453, "sequence_id": 617, "annotations": []}
{"role": "student", "content": "Oh, I think", "session_id": 16453, "sequence_id": 618, "annotations": []}
{"role": "volunteer", "content": "Because the negative times negative is a positive.", "session_id": 16453, "sequence_id": 619, "annotations": []}
{"role": "student", "content": "I'm too confused. I don't get this part.", "session_id": 16453, "sequence_id": 620, "annotations": []}
{"role": "volunteer", "content": "OK, no problem. All right. So you, let's make it X cubed. Does that make it easier?", "session_id": 16453, "sequence_id": 621, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 16453, "sequence_id": 622, "annotations": []}
{"role": "volunteer", "content": "So you know how X cubs nor when it's positive, it is going down to the left and then up to the right.", "session_id": 16453, "sequence_id": 623, "annotations": []}
{"role": "student", "content": "Hey, this is.", "session_id": 16453, "sequence_id": 624, "annotations": []}
{"role": "volunteer", "content": "Yes.", "session_id": 16453, "sequence_id": 625, "annotations": []}
{"role": "volunteer", "content": "No, that's z. Go to X cube.", "session_id": 16453, "sequence_id": 626, "annotations": []}
{"role": "student", "content": "Oh.", "session_id": 16453, "sequence_id": 627, "annotations": []}
{"role": "volunteer", "content": "You notice how it is down to the left and up to the right.", "session_id": 16453, "sequence_id": 628, "annotations": []}
{"role": "student", "content": "yes.", "session_id": 16453, "sequence_id": 629, "annotations": []}
{"role": "volunteer", "content": "That is because if you plug in a negative number in X cubed, what would you get?", "session_id": 16453, "sequence_id": 630, "annotations": []}
{"role": "student", "content": "uh", "session_id": 16453, "sequence_id": 631, "annotations": []}
{"role": "volunteer", "content": "You did X to the -1", "session_id": 16453, "sequence_id": 632, "annotations": []}
{"role": "volunteer", "content": "But you see how you deduct the -3.", "session_id": 16453, "sequence_id": 633, "annotations": []}
{"role": "student", "content": "wait, oh, what do you mean plug in a negative number to X cub.", "session_id": 16453, "sequence_id": 634, "annotations": []}
{"role": "student", "content": "Like, like", "session_id": 16453, "sequence_id": 635, "annotations": []}
{"role": "volunteer", "content": "That would mean you change the X value to a negative number. So what would -5 be cubed?", "session_id": 16453, "sequence_id": 636, "annotations": []}
{"role": "volunteer", "content": "but that would be -125. So do 2 because that's easier.", "session_id": 16453, "sequence_id": 637, "annotations": []}
{"role": "student", "content": "this", "session_id": 16453, "sequence_id": 638, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 16453, "sequence_id": 639, "annotations": []}
{"role": "volunteer", "content": "-2 cub would still be -8, right?", "session_id": 16453, "sequence_id": 640, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 16453, "sequence_id": 641, "annotations": []}
{"role": "volunteer", "content": "Because it would be 2 times 2 times 2.", "session_id": 16453, "sequence_id": 642, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 16453, "sequence_id": 643, "annotations": []}
{"role": "volunteer", "content": "So you see how", "session_id": 16453, "sequence_id": 644, "annotations": []}
{"role": "student", "content": "Cause it's cubed", "session_id": 16453, "sequence_id": 645, "annotations": []}
{"role": "student", "content": "00, so like.", "session_id": 16453, "sequence_id": 646, "annotations": []}
{"role": "volunteer", "content": "yeah, he's, you see how that's a negative number.", "session_id": 16453, "sequence_id": 647, "annotations": []}
{"role": "student", "content": "yeah, cause when you do a negative number, it always ends back up negative when it's cut.", "session_id": 16453, "sequence_id": 648, "annotations": []}
{"role": "volunteer", "content": "Yeah, but you'd notice how it's going up towards the positive number when it's", "session_id": 16453, "sequence_id": 649, "annotations": []}
{"role": "volunteer", "content": "going towards the negatives.", "session_id": 16453, "sequence_id": 650, "annotations": []}
{"role": "student", "content": "Like what", "session_id": 16453, "sequence_id": 651, "annotations": []}
{"role": "volunteer", "content": "like go back to the original problem.", "session_id": 16453, "sequence_id": 652, "annotations": []}
{"role": "volunteer", "content": "You notice how it's always, you know how it's going up and not down from the negative direction.", "session_id": 16453, "sequence_id": 653, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 16453, "sequence_id": 654, "annotations": []}
{"role": "volunteer", "content": "That would mean that it has to be negative because the negative times a negative would be a positive.", "session_id": 16453, "sequence_id": 655, "annotations": []}
{"role": "student", "content": "One is going up, it's a negative.", "session_id": 16453, "sequence_id": 656, "annotations": []}
{"role": "volunteer", "content": "No, it, it would be going like the Y value, the Y value is positive.", "session_id": 16453, "sequence_id": 657, "annotations": []}
{"role": "student", "content": "Mhm", "session_id": 16453, "sequence_id": 658, "annotations": []}
{"role": "student", "content": "And the X is negative.", "session_id": 16453, "sequence_id": 659, "annotations": []}
{"role": "volunteer", "content": "That's because the negative times a negative is positive, yes.", "session_id": 16453, "sequence_id": 660, "annotations": []}
{"role": "volunteer", "content": "So if X is negative, how does a Y value become positive?", "session_id": 16453, "sequence_id": 661, "annotations": []}
{"role": "student", "content": "FX is like.", "session_id": 16453, "sequence_id": 662, "annotations": []}
{"role": "volunteer", "content": "If it's multiplied by another", "session_id": 16453, "sequence_id": 663, "annotations": []}
{"role": "volunteer", "content": "negative value", "session_id": 16453, "sequence_id": 664, "annotations": []}
{"role": "student", "content": "Yeah.", "session_id": 16453, "sequence_id": 665, "annotations": []}
{"role": "volunteer", "content": "Does that make sense", "session_id": 16453, "sequence_id": 666, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 16453, "sequence_id": 667, "annotations": []}
{"role": "volunteer", "content": "Are you sure?", "session_id": 16453, "sequence_id": 668, "annotations": []}
{"role": "student", "content": "Oh", "session_id": 16453, "sequence_id": 669, "annotations": []}
{"role": "student", "content": "a little bit", "session_id": 16453, "sequence_id": 670, "annotations": []}
{"role": "volunteer", "content": "But", "session_id": 16453, "sequence_id": 671, "annotations": []}
{"role": "student", "content": "but it's fine. I'm gonna, I'm gonna put like a just that. Well, so 30", "session_id": 16453, "sequence_id": 672, "annotations": []}
{"role": "volunteer", "content": "All right. Here, let's just finish this one. So there are, are you sure there's 5 different real zeros?", "session_id": 16453, "sequence_id": 673, "annotations": []}
{"role": "volunteer", "content": "because remember it says different, right?", "session_id": 16453, "sequence_id": 674, "annotations": []}
{"role": "student", "content": "Oh, so 4", "session_id": 16453, "sequence_id": 675, "annotations": []}
{"role": "volunteer", "content": "Yes, because one's a multiplicity.", "session_id": 16453, "sequence_id": 676, "annotations": []}
{"role": "student", "content": "And 3 relatives minimums.", "session_id": 16453, "sequence_id": 677, "annotations": []}
{"role": "volunteer", "content": "Well, let's look. So there", "session_id": 16453, "sequence_id": 678, "annotations": []}
{"role": "student", "content": "02, is it 2?", "session_id": 16453, "sequence_id": 679, "annotations": []}
{"role": "volunteer", "content": "I think it would be 2, because there'd be only two values where it's minimum.", "session_id": 16453, "sequence_id": 680, "annotations": []}
{"role": "student", "content": "It", "session_id": 16453, "sequence_id": 681, "annotations": []}
{"role": "student", "content": "I wanna try a different one", "session_id": 16453, "sequence_id": 682, "annotations": []}
{"role": "volunteer", "content": "Yay, right, so let's stay on here real quick.", "session_id": 16453, "sequence_id": 683, "annotations": []}
{"role": "student", "content": "OK", "session_id": 16453, "sequence_id": 684, "annotations": []}
{"role": "volunteer", "content": "All right, I just want, so you notice how", "session_id": 16453, "sequence_id": 685, "annotations": []}
{"role": "volunteer", "content": "uh so that's basically saying as x goes to negative infinity", "session_id": 16453, "sequence_id": 686, "annotations": []}
{"role": "volunteer", "content": "it would be going up towards positive infinity, right?", "session_id": 16453, "sequence_id": 687, "annotations": []}
{"role": "student", "content": "So", "session_id": 16453, "sequence_id": 688, "annotations": []}
{"role": "student", "content": "wait, can you resay that? Say that again.", "session_id": 16453, "sequence_id": 689, "annotations": []}
{"role": "volunteer", "content": "So if X is going towards negative infinity, basically you plug in", "session_id": 16453, "sequence_id": 690, "annotations": []}
{"role": "volunteer", "content": "all of the X values that are negative.", "session_id": 16453, "sequence_id": 691, "annotations": []}
{"role": "volunteer", "content": "You notice how Y is still increasing to positive infinity.", "session_id": 16453, "sequence_id": 692, "annotations": []}
{"role": "student", "content": "Yeah.", "session_id": 16453, "sequence_id": 693, "annotations": []}
{"role": "volunteer", "content": "So that, so if it's a positive value, like if we're going X, right?", "session_id": 16453, "sequence_id": 694, "annotations": []}
{"role": "student", "content": "Mhm.", "session_id": 16453, "sequence_id": 695, "annotations": []}
{"role": "volunteer", "content": "Like normal X to the 5th.", "session_id": 16453, "sequence_id": 696, "annotations": []}
{"role": "student", "content": "OK", "session_id": 16453, "sequence_id": 697, "annotations": []}
{"role": "volunteer", "content": "That means if we plug in a negative value, that would be a negative times a negative times a negative times a negative times a negative, which would still be a negative, right?", "session_id": 16453, "sequence_id": 698, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 16453, "sequence_id": 699, "annotations": []}
{"role": "volunteer", "content": "But that would mean the Y value has to be negative.", "session_id": 16453, "sequence_id": 700, "annotations": []}
{"role": "volunteer", "content": "But you see how it's going towards the positive direction.", "session_id": 16453, "sequence_id": 701, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 16453, "sequence_id": 702, "annotations": []}
{"role": "volunteer", "content": "That means that there's another negative to make it positive.", "session_id": 16453, "sequence_id": 703, "annotations": []}
{"role": "volunteer", "content": "because then it would be negative times and negative times and negative times and negative", "session_id": 16453, "sequence_id": 704, "annotations": []}
{"role": "volunteer", "content": "But then there would be times of negative, which would make it positive.", "session_id": 16453, "sequence_id": 705, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 16453, "sequence_id": 706, "annotations": []}
{"role": "volunteer", "content": "Does that make more sense to you?", "session_id": 16453, "sequence_id": 707, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 16453, "sequence_id": 708, "annotations": []}
{"role": "volunteer", "content": "OK, good. So", "session_id": 16453, "sequence_id": 709, "annotations": []}
{"role": "student", "content": "So the degrees odd when an arrows point opposite directions.", "session_id": 16453, "sequence_id": 710, "annotations": []}
{"role": "volunteer", "content": "yup, odd is basically one.", "session_id": 16453, "sequence_id": 711, "annotations": []}
{"role": "student", "content": "Yeah, yeah, yeah", "session_id": 16453, "sequence_id": 712, "annotations": []}
{"role": "volunteer", "content": "Yeah, basically", "session_id": 16453, "sequence_id": 713, "annotations": []}
{"role": "volunteer", "content": "and like, you know how the quadratics and like X^2 point the same direction?", "session_id": 16453, "sequence_id": 714, "annotations": []}
{"role": "student", "content": "Mhm", "session_id": 16453, "sequence_id": 715, "annotations": []}
{"role": "volunteer", "content": "Yes.", "session_id": 16453, "sequence_id": 716, "annotations": []}
{"role": "volunteer", "content": "All right, we can move on now.", "session_id": 16453, "sequence_id": 717, "annotations": []}
{"role": "student", "content": "Well, can I read this, the leading coefficient is negative.", "session_id": 16453, "sequence_id": 718, "annotations": []}
{"role": "student", "content": "when and behavior is, what did I mean write down, look up.", "session_id": 16453, "sequence_id": 719, "annotations": []}
{"role": "student", "content": "Oh. Yeah, yeah.", "session_id": 16453, "sequence_id": 720, "annotations": []}
{"role": "volunteer", "content": "You notice how the right side is pointing down, and on this side pointing out, yes.", "session_id": 16453, "sequence_id": 721, "annotations": []}
{"role": "volunteer", "content": "That's why", "session_id": 16453, "sequence_id": 722, "annotations": []}
{"role": "volunteer", "content": "Uh-huh.", "session_id": 16453, "sequence_id": 723, "annotations": []}
{"role": "student", "content": "Wait, can I, can I say one more question on this just to make sure I got it.", "session_id": 16453, "sequence_id": 724, "annotations": []}
{"role": "volunteer", "content": "This would be uh, this would be a, um, even one though.", "session_id": 16453, "sequence_id": 725, "annotations": []}
{"role": "student", "content": "So negative. So, I mean, odd.", "session_id": 16453, "sequence_id": 726, "annotations": []}
{"role": "student", "content": "since it's both like.", "session_id": 16453, "sequence_id": 727, "annotations": []}
{"role": "volunteer", "content": "So, well, first of all, let's find the degree.", "session_id": 16453, "sequence_id": 728, "annotations": []}
{"role": "student", "content": "OK", "session_id": 16453, "sequence_id": 729, "annotations": []}
{"role": "volunteer", "content": "So how many times does it cross the X-axis.", "session_id": 16453, "sequence_id": 730, "annotations": []}
{"role": "student", "content": "Um", "session_id": 16453, "sequence_id": 731, "annotations": []}
{"role": "volunteer", "content": "OK, I have noticed a new thing, so I'm just gonna tell you this now. You see how it's going into", "session_id": 16453, "sequence_id": 732, "annotations": []}
{"role": "volunteer", "content": "a", "session_id": 16453, "sequence_id": 733, "annotations": []}
{"role": "volunteer", "content": "X value at a curve.", "session_id": 16453, "sequence_id": 734, "annotations": []}
{"role": "student", "content": "right here", "session_id": 16453, "sequence_id": 735, "annotations": []}
{"role": "volunteer", "content": "Yes, that would mean that that's cubed, the multiplicity would be 3.", "session_id": 16453, "sequence_id": 736, "annotations": []}
{"role": "student", "content": "Oh.", "session_id": 16453, "sequence_id": 737, "annotations": []}
{"role": "volunteer", "content": "You see how it's going into that like swooping motion.", "session_id": 16453, "sequence_id": 738, "annotations": []}
{"role": "student", "content": "Mhm", "session_id": 16453, "sequence_id": 739, "annotations": []}
{"role": "volunteer", "content": "Yes, that would mean that the X value.", "session_id": 16453, "sequence_id": 740, "annotations": []}
{"role": "volunteer", "content": "to the power of 3", "session_id": 16453, "sequence_id": 741, "annotations": []}
{"role": "volunteer", "content": "So take that into account when you're counting the times it crosses the x-axis.", "session_id": 16453, "sequence_id": 742, "annotations": []}
{"role": "volunteer", "content": "So that", "session_id": 16453, "sequence_id": 743, "annotations": []}
{"role": "student", "content": "Oh, OK. So when", "session_id": 16453, "sequence_id": 744, "annotations": []}
{"role": "volunteer", "content": "mhm", "session_id": 16453, "sequence_id": 745, "annotations": []}
{"role": "student", "content": "2", "session_id": 16453, "sequence_id": 746, "annotations": []}
{"role": "volunteer", "content": "Good", "session_id": 16453, "sequence_id": 747, "annotations": []}
{"role": "student", "content": "3", "session_id": 16453, "sequence_id": 748, "annotations": []}
{"role": "volunteer", "content": "Yup", "session_id": 16453, "sequence_id": 749, "annotations": []}
{"role": "student", "content": "6", "session_id": 16453, "sequence_id": 750, "annotations": []}
{"role": "volunteer", "content": "Yes", "session_id": 16453, "sequence_id": 751, "annotations": []}
{"role": "student", "content": "so even", "session_id": 16453, "sequence_id": 752, "annotations": []}
{"role": "volunteer", "content": "Yup", "session_id": 16453, "sequence_id": 753, "annotations": []}
{"role": "student", "content": "The leading coefficient, uh, negative.", "session_id": 16453, "sequence_id": 754, "annotations": []}
{"role": "volunteer", "content": "Good. And do you know why it's negative?", "session_id": 16453, "sequence_id": 755, "annotations": []}
{"role": "student", "content": "cause they're facing now", "session_id": 16453, "sequence_id": 756, "annotations": []}
{"role": "volunteer", "content": "Good", "session_id": 16453, "sequence_id": 757, "annotations": []}
{"role": "student", "content": "and there are different zeros.", "session_id": 16453, "sequence_id": 758, "annotations": []}
{"role": "volunteer", "content": "Yup, because there's a multiplicity of 3", "session_id": 16453, "sequence_id": 759, "annotations": []}
{"role": "volunteer", "content": "on this", "session_id": 16453, "sequence_id": 760, "annotations": []}
{"role": "student", "content": "and to maximums.", "session_id": 16453, "sequence_id": 761, "annotations": []}
{"role": "volunteer", "content": "Is there 2? Yep.", "session_id": 16453, "sequence_id": 762, "annotations": []}
{"role": "volunteer", "content": "Good job. See, you do it.", "session_id": 16453, "sequence_id": 763, "annotations": []}
{"role": "student", "content": "Was, OK. OK, I got it. OK, so, OK.", "session_id": 16453, "sequence_id": 764, "annotations": []}
{"role": "student", "content": "So I'm, I'm trying to write this down.", "session_id": 16453, "sequence_id": 765, "annotations": []}
{"role": "volunteer", "content": "No problem. Take your time.", "session_id": 16453, "sequence_id": 766, "annotations": []}
{"role": "student", "content": "OK", "session_id": 16453, "sequence_id": 767, "annotations": []}
{"role": "volunteer", "content": "All right. So, plot the X intercepts and make a signed chart that represents the functions shown below. All right, so you see it's negative, X + 2 x minus 1.", "session_id": 16453, "sequence_id": 768, "annotations": []}
{"role": "volunteer", "content": "and x minus 6", "session_id": 16453, "sequence_id": 769, "annotations": []}
{"role": "student", "content": "a negative X minus 2.", "session_id": 16453, "sequence_id": 770, "annotations": []}
{"role": "volunteer", "content": "So what would that be", "session_id": 16453, "sequence_id": 771, "annotations": []}
{"role": "student", "content": "Would that be equals 2.", "session_id": 16453, "sequence_id": 772, "annotations": []}
{"role": "volunteer", "content": "I think so", "session_id": 16453, "sequence_id": 773, "annotations": []}
{"role": "student", "content": "or", "session_id": 16453, "sequence_id": 774, "annotations": []}
{"role": "volunteer", "content": "I've never seen it written like that, but that seems correct.", "session_id": 16453, "sequence_id": 775, "annotations": []}
{"role": "student", "content": "or X equals -2.", "session_id": 16453, "sequence_id": 776, "annotations": []}
{"role": "volunteer", "content": "Right, negative X", "session_id": 16453, "sequence_id": 777, "annotations": []}
{"role": "volunteer", "content": "minus 2", "session_id": 16453, "sequence_id": 778, "annotations": []}
{"role": "volunteer", "content": "Yes, so the X would equal 2.", "session_id": 16453, "sequence_id": 779, "annotations": []}
{"role": "student", "content": "OK, so", "session_id": 16453, "sequence_id": 780, "annotations": []}
{"role": "student", "content": "hold on", "session_id": 16453, "sequence_id": 781, "annotations": []}
{"role": "student", "content": "Well, it'll be negative too, negative X minus 2.", "session_id": 16453, "sequence_id": 782, "annotations": []}
{"role": "volunteer", "content": "Yeah, well, yeah, if you distribute the negative, it would be negative X minus 2, which would just be 2, right?", "session_id": 16453, "sequence_id": 783, "annotations": []}
{"role": "student", "content": "X minus 2", "session_id": 16453, "sequence_id": 784, "annotations": []}
{"role": "volunteer", "content": "Yep.", "session_id": 16453, "sequence_id": 785, "annotations": []}
{"role": "student", "content": "Oh, I thought it would be, um, I thought it would be.", "session_id": 16453, "sequence_id": 786, "annotations": []}
{"role": "volunteer", "content": "Well, well, what would negative X minus 2? How would negative X minus 2 equals 0.", "session_id": 16453, "sequence_id": 787, "annotations": []}
{"role": "student", "content": "1 X is.", "session_id": 16453, "sequence_id": 788, "annotations": []}
{"role": "student", "content": "2", "session_id": 16453, "sequence_id": 789, "annotations": []}
{"role": "student", "content": "Oh wait, no", "session_id": 16453, "sequence_id": 790, "annotations": []}
{"role": "volunteer", "content": "Yes", "session_id": 16453, "sequence_id": 791, "annotations": []}
{"role": "student", "content": "So it was you", "session_id": 16453, "sequence_id": 792, "annotations": []}
{"role": "volunteer", "content": "Look, because X", "session_id": 16453, "sequence_id": 793, "annotations": []}
{"role": "volunteer", "content": "minus 2", "session_id": 16453, "sequence_id": 794, "annotations": []}
{"role": "volunteer", "content": "-x - 2 = 0", "session_id": 16453, "sequence_id": 795, "annotations": []}
{"role": "volunteer", "content": "equals 0, right", "session_id": 16453, "sequence_id": 796, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 16453, "sequence_id": 797, "annotations": []}
{"role": "volunteer", "content": "And so, if X is equal to -2", "session_id": 16453, "sequence_id": 798, "annotations": []}
{"role": "volunteer", "content": "that would just be", "session_id": 16453, "sequence_id": 799, "annotations": []}
{"role": "student", "content": "Mm.", "session_id": 16453, "sequence_id": 800, "annotations": []}
{"role": "volunteer", "content": "2 minus 2 equals 0. So yeah, you would just basically ignore that negative because it's not attached to an X or anything.", "session_id": 16453, "sequence_id": 801, "annotations": []}
{"role": "student", "content": "So", "session_id": 16453, "sequence_id": 802, "annotations": []}
{"role": "volunteer", "content": "and you just focus on the functions.", "session_id": 16453, "sequence_id": 803, "annotations": []}
{"role": "student", "content": "this will be X", "session_id": 16453, "sequence_id": 804, "annotations": []}
{"role": "student", "content": "equals 1", "session_id": 16453, "sequence_id": 805, "annotations": []}
{"role": "volunteer", "content": "Yup", "session_id": 16453, "sequence_id": 806, "annotations": []}
{"role": "student", "content": "Wouldn't this be 2 times, so.", "session_id": 16453, "sequence_id": 807, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 16453, "sequence_id": 808, "annotations": []}
{"role": "volunteer", "content": "It would be a multiplicity, but I'm pretty sure if it's a number chart, you would just do it once.", "session_id": 16453, "sequence_id": 809, "annotations": []}
{"role": "volunteer", "content": "And now we do a sign chart", "session_id": 16453, "sequence_id": 810, "annotations": []}
{"role": "student", "content": "uh.", "session_id": 16453, "sequence_id": 811, "annotations": []}
{"role": "volunteer", "content": "So do you know how to do this?", "session_id": 16453, "sequence_id": 812, "annotations": []}
{"role": "student", "content": "no", "session_id": 16453, "sequence_id": 813, "annotations": []}
{"role": "volunteer", "content": "All right, so a sign chart is basically you would plug in numbers that are.", "session_id": 16453, "sequence_id": 814, "annotations": []}
{"role": "student", "content": "next one", "session_id": 16453, "sequence_id": 815, "annotations": []}
{"role": "volunteer", "content": "less than and or greater than a certain amount. So let's say, so what is the lowest value here. It would be 2, right?", "session_id": 16453, "sequence_id": 816, "annotations": []}
{"role": "student", "content": "Oh yeah", "session_id": 16453, "sequence_id": 817, "annotations": []}
{"role": "volunteer", "content": "Because X + 2.", "session_id": 16453, "sequence_id": 818, "annotations": []}
{"role": "student", "content": "Yeah. Oh wait, but I put 2 right here.", "session_id": 16453, "sequence_id": 819, "annotations": []}
{"role": "student", "content": "Is this wrong", "session_id": 16453, "sequence_id": 820, "annotations": []}
{"role": "volunteer", "content": "No, no, yes, that is wrong.", "session_id": 16453, "sequence_id": 821, "annotations": []}
{"role": "volunteer", "content": "Cause it would be negative too, right? Cause X + 2, well, how would you do that equals 0?", "session_id": 16453, "sequence_id": 822, "annotations": []}
{"role": "student", "content": "Oh, cause I was doing negative X ma'am, so.", "session_id": 16453, "sequence_id": 823, "annotations": []}
{"role": "volunteer", "content": "Yeah, no, ignore that negative sign until we do the sign chart, because if that negative sign isn't attached to anything, the zeros would be the same.", "session_id": 16453, "sequence_id": 824, "annotations": []}
{"role": "student", "content": "OK, so", "session_id": 16453, "sequence_id": 825, "annotations": []}
{"role": "volunteer", "content": "right? So if it's negative 2, that means pick any number", "session_id": 16453, "sequence_id": 826, "annotations": []}
{"role": "volunteer", "content": "that's lower than -2, and plug it into all of them, and you would just find out if it's positive or negative.", "session_id": 16453, "sequence_id": 827, "annotations": []}
{"role": "student", "content": "so negative 2, so like -4.", "session_id": 16453, "sequence_id": 828, "annotations": []}
{"role": "volunteer", "content": "Yeah, sure. But even if so, so you just know that -4 + 2 is still negative, right?", "session_id": 16453, "sequence_id": 829, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 16453, "sequence_id": 830, "annotations": []}
{"role": "student", "content": "2 negative", "session_id": 16453, "sequence_id": 831, "annotations": []}
{"role": "student", "content": "Oh.", "session_id": 16453, "sequence_id": 832, "annotations": []}
{"role": "volunteer", "content": "And then so it'd be negative and then -4 minus 1 is negative and then -4 minus 6 is still minimum, but it's squared, so that would be positive. So it would be a negative times a negative times a negative times a positive, which would be", "session_id": 16453, "sequence_id": 833, "annotations": []}
{"role": "student", "content": "So negative times the negative times the negative.", "session_id": 16453, "sequence_id": 834, "annotations": []}
{"role": "student", "content": "times a negative would be positive.", "session_id": 16453, "sequence_id": 835, "annotations": []}
{"role": "volunteer", "content": "no, it would be. Where'd you get the 4th negative from? because remember it's negative and", "session_id": 16453, "sequence_id": 836, "annotations": []}
{"role": "student", "content": "cause it's, it's squared.", "session_id": 16453, "sequence_id": 837, "annotations": []}
{"role": "volunteer", "content": "yes, which means it would be positive.", "session_id": 16453, "sequence_id": 838, "annotations": []}
{"role": "student", "content": "Well, I thought when it's squid, it's by the same thing, so right", "session_id": 16453, "sequence_id": 839, "annotations": []}
{"role": "student", "content": "oh yeah", "session_id": 16453, "sequence_id": 840, "annotations": []}
{"role": "volunteer", "content": "So then click that area.", "session_id": 16453, "sequence_id": 841, "annotations": []}
{"role": "volunteer", "content": "and then that would be minus, right?", "session_id": 16453, "sequence_id": 842, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 16453, "sequence_id": 843, "annotations": []}
{"role": "volunteer", "content": "All right, and so now choose a number between 2 and 1. I like 0.", "session_id": 16453, "sequence_id": 844, "annotations": []}
{"role": "volunteer", "content": "Yes", "session_id": 16453, "sequence_id": 845, "annotations": []}
{"role": "student", "content": "OK, I'm confused. So, from the negative2,", "session_id": 16453, "sequence_id": 846, "annotations": []}
{"role": "student", "content": "it will be minus because negative", "session_id": 16453, "sequence_id": 847, "annotations": []}
{"role": "volunteer", "content": "because we choose a number that's lower than -2, and we plug it in each functions.", "session_id": 16453, "sequence_id": 848, "annotations": []}
{"role": "student", "content": "and then when you, so it was negative here. It was negative here.", "session_id": 16453, "sequence_id": 849, "annotations": []}
{"role": "student", "content": "So was it, what was it? Was it positive here?", "session_id": 16453, "sequence_id": 850, "annotations": []}
{"role": "volunteer", "content": "Yes, because even if it's -10, the final one, it would be square, which is always positive.", "session_id": 16453, "sequence_id": 851, "annotations": []}
{"role": "student", "content": "Oh, so, oh, so was this", "session_id": 16453, "sequence_id": 852, "annotations": []}
{"role": "student", "content": "this was the first negatives", "session_id": 16453, "sequence_id": 853, "annotations": []}
{"role": "volunteer", "content": "Yep.", "session_id": 16453, "sequence_id": 854, "annotations": []}
{"role": "volunteer", "content": "yep", "session_id": 16453, "sequence_id": 855, "annotations": []}
{"role": "volunteer", "content": "yep", "session_id": 16453, "sequence_id": 856, "annotations": []}
{"role": "student", "content": "This one right here. So negative times negative times negative, times a positive positive, it's still negative.", "session_id": 16453, "sequence_id": 857, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 16453, "sequence_id": 858, "annotations": []}
{"role": "volunteer", "content": "because it would always be positive because it's squared.", "session_id": 16453, "sequence_id": 859, "annotations": []}
{"role": "student", "content": "Yeah, OK.", "session_id": 16453, "sequence_id": 860, "annotations": []}
{"role": "volunteer", "content": "All right, so what would this one be then? If so let's choose a number between 2 and 1. I like 0 because 0 is easy.", "session_id": 16453, "sequence_id": 861, "annotations": []}
{"role": "student", "content": "0, yeah", "session_id": 16453, "sequence_id": 862, "annotations": []}
{"role": "volunteer", "content": "So that would mean that if it's 0 + 2, that's positive, right?", "session_id": 16453, "sequence_id": 863, "annotations": []}
{"role": "student", "content": "Positive.", "session_id": 16453, "sequence_id": 864, "annotations": []}
{"role": "volunteer", "content": "And 0 minus 1 is negative, and then", "session_id": 16453, "sequence_id": 865, "annotations": []}
{"role": "student", "content": "negative", "session_id": 16453, "sequence_id": 866, "annotations": []}
{"role": "volunteer", "content": "X minus 6 squad is positive.", "session_id": 16453, "sequence_id": 867, "annotations": []}
{"role": "volunteer", "content": "which would be", "session_id": 16453, "sequence_id": 868, "annotations": []}
{"role": "student", "content": "So negative times of positive, times are negative, times are positive, negative.", "session_id": 16453, "sequence_id": 869, "annotations": []}
{"role": "volunteer", "content": "would it be negative", "session_id": 16453, "sequence_id": 870, "annotations": []}
{"role": "student", "content": "Would it be, would it? Cause negative times and positive is a negative.", "session_id": 16453, "sequence_id": 871, "annotations": []}
{"role": "student", "content": "and the ne.", "session_id": 16453, "sequence_id": 872, "annotations": []}
{"role": "student", "content": "positive", "session_id": 16453, "sequence_id": 873, "annotations": []}
{"role": "volunteer", "content": "But then it would be negative times a positive again, which would be a negative times a negative, which is positive.", "session_id": 16453, "sequence_id": 874, "annotations": []}
{"role": "student", "content": "times of positive, so positive.", "session_id": 16453, "sequence_id": 875, "annotations": []}
{"role": "volunteer", "content": "Yup.", "session_id": 16453, "sequence_id": 876, "annotations": []}
{"role": "student", "content": "And then we could do too.", "session_id": 16453, "sequence_id": 877, "annotations": []}
{"role": "volunteer", "content": "And now we have to choose a number between 1 and 6.", "session_id": 16453, "sequence_id": 878, "annotations": []}
{"role": "student", "content": "to, no one.", "session_id": 16453, "sequence_id": 879, "annotations": []}
{"role": "volunteer", "content": "Well, it has to be greater than one, yup.", "session_id": 16453, "sequence_id": 880, "annotations": []}
{"role": "volunteer", "content": "Yep", "session_id": 16453, "sequence_id": 881, "annotations": []}
{"role": "student", "content": "Oh, between, between. So it's 22 + 2 is 4.", "session_id": 16453, "sequence_id": 882, "annotations": []}
{"role": "student", "content": "A", "session_id": 16453, "sequence_id": 883, "annotations": []}
{"role": "student", "content": "so positive", "session_id": 16453, "sequence_id": 884, "annotations": []}
{"role": "volunteer", "content": "4, and then that would be 1, and then that has to be positive, right? So it'd be negative times positive times positive positive.", "session_id": 16453, "sequence_id": 885, "annotations": []}
{"role": "volunteer", "content": "So positive. And then the other one would also be negative times positive, positive, positive.", "session_id": 16453, "sequence_id": 886, "annotations": []}
{"role": "student", "content": "This one", "session_id": 16453, "sequence_id": 887, "annotations": []}
{"role": "volunteer", "content": "Yep.", "session_id": 16453, "sequence_id": 888, "annotations": []}
{"role": "volunteer", "content": "because it still has to be positive.", "session_id": 16453, "sequence_id": 889, "annotations": []}
{"role": "student", "content": "Oh.", "session_id": 16453, "sequence_id": 890, "annotations": []}
{"role": "student", "content": "Well, yeah", "session_id": 16453, "sequence_id": 891, "annotations": []}
{"role": "volunteer", "content": "right? So let's just plug it in. Let's plug in 10.", "session_id": 16453, "sequence_id": 892, "annotations": []}
{"role": "student", "content": "low", "session_id": 16453, "sequence_id": 893, "annotations": []}
{"role": "student", "content": "OK", "session_id": 16453, "sequence_id": 894, "annotations": []}
{"role": "student", "content": "+.", "session_id": 16453, "sequence_id": 895, "annotations": []}
{"role": "volunteer", "content": "10 + 2 is 12, positive, and then 10 minus 1 is positive and then 10 minus 6 is positive, squared is still positive.", "session_id": 16453, "sequence_id": 896, "annotations": []}
{"role": "volunteer", "content": "So it'd be negative times 3 positives would be a negative.", "session_id": 16453, "sequence_id": 897, "annotations": []}
{"role": "volunteer", "content": "Uh oh, what did I do", "session_id": 16453, "sequence_id": 898, "annotations": []}
{"role": "volunteer", "content": "Mm", "session_id": 16453, "sequence_id": 899, "annotations": []}
{"role": "student", "content": "Sure see the examples.", "session_id": 16453, "sequence_id": 900, "annotations": []}
{"role": "volunteer", "content": "wait, what? OK, so let's try it again. So", "session_id": 16453, "sequence_id": 901, "annotations": []}
{"role": "volunteer", "content": "that'd be negative times negative times the negative times a positive. So that's negative. That's right.", "session_id": 16453, "sequence_id": 902, "annotations": []}
{"role": "student", "content": "Do we get the numbers wrong", "session_id": 16453, "sequence_id": 903, "annotations": []}
{"role": "volunteer", "content": "Huh", "session_id": 16453, "sequence_id": 904, "annotations": []}
{"role": "student", "content": "Do we get like the plotting one.", "session_id": 16453, "sequence_id": 905, "annotations": []}
{"role": "volunteer", "content": "I don't believe so. You did, um, what, what, what spaces did you do it? It's too small on my screen.", "session_id": 16453, "sequence_id": 906, "annotations": []}
{"role": "student", "content": "uh we did what, right?", "session_id": 16453, "sequence_id": 907, "annotations": []}
{"role": "volunteer", "content": "-2, 1 and 6.", "session_id": 16453, "sequence_id": 908, "annotations": []}
{"role": "student", "content": "Yeah.", "session_id": 16453, "sequence_id": 909, "annotations": []}
{"role": "volunteer", "content": "Yup, that's right", "session_id": 16453, "sequence_id": 910, "annotations": []}
{"role": "volunteer", "content": "And so now let's plug in 0. So that would be", "session_id": 16453, "sequence_id": 911, "annotations": []}
{"role": "volunteer", "content": "negative times A positive times of negative times of positive. So that's positive.", "session_id": 16453, "sequence_id": 912, "annotations": []}
{"role": "volunteer", "content": "And then we plug in 3, which would be negative times of positive, times of positive, times of OK, so I see.", "session_id": 16453, "sequence_id": 913, "annotations": []}
{"role": "volunteer", "content": "So if we plug in 3 here, that'd be negative times the positive times the positive times the positive, right?", "session_id": 16453, "sequence_id": 914, "annotations": []}
{"role": "volunteer", "content": "which would still be negative", "session_id": 16453, "sequence_id": 915, "annotations": []}
{"role": "volunteer", "content": "Does that make sense", "session_id": 16453, "sequence_id": 916, "annotations": []}
{"role": "volunteer", "content": "And that's why it's also negative for the last two, because it'd be negative times the rest positive.", "session_id": 16453, "sequence_id": 917, "annotations": []}
{"role": "student", "content": "Um", "session_id": 16453, "sequence_id": 918, "annotations": []}
{"role": "volunteer", "content": "right?", "session_id": 16453, "sequence_id": 919, "annotations": []}
{"role": "student", "content": "is it a 3? You did 3, right?", "session_id": 16453, "sequence_id": 920, "annotations": []}
{"role": "volunteer", "content": "Yeah, I, I mean, yeah, 3 would, yes, 3.", "session_id": 16453, "sequence_id": 921, "annotations": []}
{"role": "student", "content": "So it'll be negative times of positive, that will be positive.", "session_id": 16453, "sequence_id": 922, "annotations": []}
{"role": "volunteer", "content": "So that", "session_id": 16453, "sequence_id": 923, "annotations": []}
{"role": "volunteer", "content": "yeah, so they'd all be positive. So that means that", "session_id": 16453, "sequence_id": 924, "annotations": []}
{"role": "student", "content": "Times are positive, that'll be positive, kinds of positive.", "session_id": 16453, "sequence_id": 925, "annotations": []}
{"role": "volunteer", "content": "so that means it's 1 x 3 positives, which is negative.", "session_id": 16453, "sequence_id": 926, "annotations": []}
{"role": "volunteer", "content": "And that's why the last two are negative.", "session_id": 16453, "sequence_id": 927, "annotations": []}
{"role": "student", "content": "Wow, I thought, how is it negative if it's one negative by 3 positives.", "session_id": 16453, "sequence_id": 928, "annotations": []}
{"role": "volunteer", "content": "because it's not multiplying itself by another negative, so it doesn't become positive.", "session_id": 16453, "sequence_id": 929, "annotations": []}
{"role": "student", "content": "So is that always the case?", "session_id": 16453, "sequence_id": 930, "annotations": []}
{"role": "volunteer", "content": "Yep", "session_id": 16453, "sequence_id": 931, "annotations": []}
{"role": "volunteer", "content": "As long as it's not a negative times a negative.", "session_id": 16453, "sequence_id": 932, "annotations": []}
{"role": "volunteer", "content": "It will never become positive.", "session_id": 16453, "sequence_id": 933, "annotations": []}
{"role": "volunteer", "content": "Like it can be a negative times 20, it would still be negative because it's not negative times a negative.", "session_id": 16453, "sequence_id": 934, "annotations": []}
{"role": "student", "content": "So", "session_id": 16453, "sequence_id": 935, "annotations": []}
{"role": "volunteer", "content": "Does that make sense? Cause if you put a negative in front of any number, it's negative, right?", "session_id": 16453, "sequence_id": 936, "annotations": []}
{"role": "student", "content": "to leave on the", "session_id": 16453, "sequence_id": 937, "annotations": []}
{"role": "student", "content": "ne g ative negative.", "session_id": 16453, "sequence_id": 938, "annotations": []}
{"role": "student", "content": "ice and they.", "session_id": 16453, "sequence_id": 939, "annotations": []}
{"role": "student", "content": "OK, let me see this one.", "session_id": 16453, "sequence_id": 940, "annotations": []}
{"role": "student", "content": "To be honest, I still don't get how this is equal to negative because if it's negative times of positive, it's positive. Times of positive is positive, times are positive.", "session_id": 16453, "sequence_id": 941, "annotations": []}
{"role": "volunteer", "content": "Now, a negative times a positive is a negative, right?", "session_id": 16453, "sequence_id": 942, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 16453, "sequence_id": 943, "annotations": []}
{"role": "volunteer", "content": "So what would be a negative times a positive.", "session_id": 16453, "sequence_id": 944, "annotations": []}
{"role": "volunteer", "content": "negative, right", "session_id": 16453, "sequence_id": 945, "annotations": []}
{"role": "student", "content": "negative", "session_id": 16453, "sequence_id": 946, "annotations": []}
{"role": "student", "content": "Oh", "session_id": 16453, "sequence_id": 947, "annotations": []}
{"role": "student", "content": "Oh", "session_id": 16453, "sequence_id": 948, "annotations": []}
{"role": "volunteer", "content": "That there would be a negative and positive, which is negative, and then negatives of positive, which is negative.", "session_id": 16453, "sequence_id": 949, "annotations": []}
{"role": "student", "content": "Oh", "session_id": 16453, "sequence_id": 950, "annotations": []}
{"role": "volunteer", "content": "Yeah, but if it was a negative times a negative times a positive would be positive.", "session_id": 16453, "sequence_id": 951, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 16453, "sequence_id": 952, "annotations": []}
{"role": "volunteer", "content": "All right", "session_id": 16453, "sequence_id": 953, "annotations": []}
{"role": "volunteer", "content": "identify the real roots of the function, then use those real roots.", "session_id": 16453, "sequence_id": 954, "annotations": []}
{"role": "volunteer", "content": "to fill in the side table below", "session_id": 16453, "sequence_id": 955, "annotations": []}
{"role": "volunteer", "content": "So you see what we plug in here.", "session_id": 16453, "sequence_id": 956, "annotations": []}
{"role": "volunteer", "content": "What would, what", "session_id": 16453, "sequence_id": 957, "annotations": []}
{"role": "student", "content": "Well,", "session_id": 16453, "sequence_id": 958, "annotations": []}
{"role": "student", "content": "only see one.", "session_id": 16453, "sequence_id": 959, "annotations": []}
{"role": "volunteer", "content": "well, let's see. So there's an X on the outside, right? So how would x equals 0?", "session_id": 16453, "sequence_id": 960, "annotations": []}
{"role": "student", "content": "huh", "session_id": 16453, "sequence_id": 961, "annotations": []}
{"role": "student", "content": "Oh", "session_id": 16453, "sequence_id": 962, "annotations": []}
{"role": "volunteer", "content": "What, well, so if there's an X on the outside, how would you equal that to 0?", "session_id": 16453, "sequence_id": 963, "annotations": []}
{"role": "student", "content": "I don't know", "session_id": 16453, "sequence_id": 964, "annotations": []}
{"role": "volunteer", "content": "X times what is 0.", "session_id": 16453, "sequence_id": 965, "annotations": []}
{"role": "student", "content": "From 0", "session_id": 16453, "sequence_id": 966, "annotations": []}
{"role": "volunteer", "content": "Yeah, so it'd be 0 there", "session_id": 16453, "sequence_id": 967, "annotations": []}
{"role": "volunteer", "content": "because you just, if X is equal to 0, that means it's equal to 0.", "session_id": 16453, "sequence_id": 968, "annotations": []}
{"role": "student", "content": "Wait, so because they're an egg from the outside.", "session_id": 16453, "sequence_id": 969, "annotations": []}
{"role": "student", "content": "that's 0", "session_id": 16453, "sequence_id": 970, "annotations": []}
{"role": "volunteer", "content": "Yeah, if there's an X on the outside, it means that the root, that one of the roots is 0.", "session_id": 16453, "sequence_id": 971, "annotations": []}
{"role": "student", "content": "Oh, OK", "session_id": 16453, "sequence_id": 972, "annotations": []}
{"role": "volunteer", "content": "because you just plug in 0 and it's 0 and a route is when X equals 0. So if the equation is X, when would it equal 0?", "session_id": 16453, "sequence_id": 973, "annotations": []}
{"role": "volunteer", "content": "0, no, no, no, no, no, no, don't, don't do it yet.", "session_id": 16453, "sequence_id": 974, "annotations": []}
{"role": "volunteer", "content": "And so the next one is 2 x + 3. What would X have to equal there for it to be 0.", "session_id": 16453, "sequence_id": 975, "annotations": []}
{"role": "student", "content": "0", "session_id": 16453, "sequence_id": 976, "annotations": []}
{"role": "volunteer", "content": "It would be", "session_id": 16453, "sequence_id": 977, "annotations": []}
{"role": "volunteer", "content": "-3 halves, right?", "session_id": 16453, "sequence_id": 978, "annotations": []}
{"role": "student", "content": "Oh yeah", "session_id": 16453, "sequence_id": 979, "annotations": []}
{"role": "volunteer", "content": "Cause", "session_id": 16453, "sequence_id": 980, "annotations": []}
{"role": "volunteer", "content": "yep", "session_id": 16453, "sequence_id": 981, "annotations": []}
{"role": "student", "content": "-3", "session_id": 16453, "sequence_id": 982, "annotations": []}
{"role": "volunteer", "content": "-3 halves", "session_id": 16453, "sequence_id": 983, "annotations": []}
{"role": "volunteer", "content": "-3 over 2, because then it would be -3 times 2, 3/2 times 2 is just -3, and the 3 + 3 is 0.", "session_id": 16453, "sequence_id": 984, "annotations": []}
{"role": "student", "content": "-3 over 2 times.", "session_id": 16453, "sequence_id": 985, "annotations": []}
{"role": "student", "content": "3/2 times 2 is 3.", "session_id": 16453, "sequence_id": 986, "annotations": []}
{"role": "volunteer", "content": "Yeah, because you see how it's divided by 2 and then multiple 2.", "session_id": 16453, "sequence_id": 987, "annotations": []}
{"role": "student", "content": "0, 1.5 plus 1.5, OK.", "session_id": 16453, "sequence_id": 988, "annotations": []}
{"role": "volunteer", "content": "Uh-huh.", "session_id": 16453, "sequence_id": 989, "annotations": []}
{"role": "student", "content": "So it'll be like, it will be 3 halves.", "session_id": 16453, "sequence_id": 990, "annotations": []}
{"role": "volunteer", "content": "yep, no, -3 halves.", "session_id": 16453, "sequence_id": 991, "annotations": []}
{"role": "student", "content": "Oh yeah", "session_id": 16453, "sequence_id": 992, "annotations": []}
{"role": "volunteer", "content": "because it's +3 still, right?", "session_id": 16453, "sequence_id": 993, "annotations": []}
{"role": "student", "content": "Mhm", "session_id": 16453, "sequence_id": 994, "annotations": []}
{"role": "student", "content": "And the last one is easy.", "session_id": 16453, "sequence_id": 995, "annotations": []}
{"role": "volunteer", "content": "Yup. So click next", "session_id": 16453, "sequence_id": 996, "annotations": []}
{"role": "volunteer", "content": "And so,", "session_id": 16453, "sequence_id": 997, "annotations": []}
{"role": "student", "content": "Oh my God, I'm not like I charts.", "session_id": 16453, "sequence_id": 998, "annotations": []}
{"role": "volunteer", "content": "what's the, what's a, what's a number less than -3 halves, 2, right?", "session_id": 16453, "sequence_id": 999, "annotations": []}
{"role": "student", "content": "Oh yeah, make sense", "session_id": 16453, "sequence_id": 1000, "annotations": []}
{"role": "volunteer", "content": "OK, so it would be, so how would you do this?", "session_id": 16453, "sequence_id": 1001, "annotations": []}
{"role": "student", "content": "So", "session_id": 16453, "sequence_id": 1002, "annotations": []}
{"role": "student", "content": "we're gonna input -2 into the function.", "session_id": 16453, "sequence_id": 1003, "annotations": []}
{"role": "student", "content": "So this will be a negative.", "session_id": 16453, "sequence_id": 1004, "annotations": []}
{"role": "volunteer", "content": "Yup", "session_id": 16453, "sequence_id": 1005, "annotations": []}
{"role": "student", "content": "So", "session_id": 16453, "sequence_id": 1006, "annotations": []}
{"role": "student", "content": "negative times to in a good 4 + 3. This will be a negative.", "session_id": 16453, "sequence_id": 1007, "annotations": []}
{"role": "volunteer", "content": "Yup", "session_id": 16453, "sequence_id": 1008, "annotations": []}
{"role": "volunteer", "content": "yup", "session_id": 16453, "sequence_id": 1009, "annotations": []}
{"role": "student", "content": "and this would be a negative. So this would be a negative.", "session_id": 16453, "sequence_id": 1010, "annotations": []}
{"role": "volunteer", "content": "Uh, yup", "session_id": 16453, "sequence_id": 1011, "annotations": []}
{"role": "student", "content": "We do always do less than.", "session_id": 16453, "sequence_id": 1012, "annotations": []}
{"role": "volunteer", "content": "because a negative times negative is a positive, negative, is negative.", "session_id": 16453, "sequence_id": 1013, "annotations": []}
{"role": "volunteer", "content": "Huh", "session_id": 16453, "sequence_id": 1014, "annotations": []}
{"role": "volunteer", "content": "Yes", "session_id": 16453, "sequence_id": 1015, "annotations": []}
{"role": "student", "content": "00, so like when it's going this way, we always do less than the number and then we do win the numbers.", "session_id": 16453, "sequence_id": 1016, "annotations": []}
{"role": "volunteer", "content": "Yup", "session_id": 16453, "sequence_id": 1017, "annotations": []}
{"role": "student", "content": "and then we do greater than the numbers.", "session_id": 16453, "sequence_id": 1018, "annotations": []}
{"role": "volunteer", "content": "Yup, because it would equal 0 at those numbers.", "session_id": 16453, "sequence_id": 1019, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 16453, "sequence_id": 1020, "annotations": []}
{"role": "student", "content": "So", "session_id": 16453, "sequence_id": 1021, "annotations": []}
{"role": "student", "content": "um this will be, so", "session_id": 16453, "sequence_id": 1022, "annotations": []}
{"role": "student", "content": "we could use one, right? No negative 1, right?", "session_id": 16453, "sequence_id": 1023, "annotations": []}
{"role": "volunteer", "content": "Yup.", "session_id": 16453, "sequence_id": 1024, "annotations": []}
{"role": "student", "content": "So negative, this will be a negative.", "session_id": 16453, "sequence_id": 1025, "annotations": []}
{"role": "volunteer", "content": "Mhm", "session_id": 16453, "sequence_id": 1026, "annotations": []}
{"role": "student", "content": "Uh", "session_id": 16453, "sequence_id": 1027, "annotations": []}
{"role": "student", "content": "this should be positive", "session_id": 16453, "sequence_id": 1028, "annotations": []}
{"role": "volunteer", "content": "Yup", "session_id": 16453, "sequence_id": 1029, "annotations": []}
{"role": "student", "content": "This would be 0", "session_id": 16453, "sequence_id": 1030, "annotations": []}
{"role": "volunteer", "content": "No, cause it's -1, -1 -1 is", "session_id": 16453, "sequence_id": 1031, "annotations": []}
{"role": "student", "content": "00, negative so, so negative.", "session_id": 16453, "sequence_id": 1032, "annotations": []}
{"role": "volunteer", "content": "yup, so what would it be", "session_id": 16453, "sequence_id": 1033, "annotations": []}
{"role": "student", "content": "So negative, positive, negative.", "session_id": 16453, "sequence_id": 1034, "annotations": []}
{"role": "volunteer", "content": "Mhm.", "session_id": 16453, "sequence_id": 1035, "annotations": []}
{"role": "student", "content": "Negative from positive is a negative so positive.", "session_id": 16453, "sequence_id": 1036, "annotations": []}
{"role": "volunteer", "content": "Yup", "session_id": 16453, "sequence_id": 1037, "annotations": []}
{"role": "volunteer", "content": "Good job.", "session_id": 16453, "sequence_id": 1038, "annotations": []}
{"role": "student", "content": "Wait, how are we gonna use a number, or do we do 0.5?", "session_id": 16453, "sequence_id": 1039, "annotations": []}
{"role": "volunteer", "content": "Between 0 and 1, 0.5 would work.", "session_id": 16453, "sequence_id": 1040, "annotations": []}
{"role": "student", "content": "Yeah.", "session_id": 16453, "sequence_id": 1041, "annotations": []}
{"role": "student", "content": "So this will be positive.", "session_id": 16453, "sequence_id": 1042, "annotations": []}
{"role": "volunteer", "content": "Yep", "session_id": 16453, "sequence_id": 1043, "annotations": []}
{"role": "student", "content": "This will be positive.", "session_id": 16453, "sequence_id": 1044, "annotations": []}
{"role": "volunteer", "content": "Uh-huh.", "session_id": 16453, "sequence_id": 1045, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 16453, "sequence_id": 1046, "annotations": []}
{"role": "volunteer", "content": "And then that number is less than 1, so that'd be negative, right?", "session_id": 16453, "sequence_id": 1047, "annotations": []}
{"role": "volunteer", "content": "So what", "session_id": 16453, "sequence_id": 1048, "annotations": []}
{"role": "student", "content": "negative, yeah, so positive and positive is a positive, some negative, it's negative.", "session_id": 16453, "sequence_id": 1049, "annotations": []}
{"role": "volunteer", "content": "Yeah, good job", "session_id": 16453, "sequence_id": 1050, "annotations": []}
{"role": "student", "content": "So", "session_id": 16453, "sequence_id": 1051, "annotations": []}
{"role": "volunteer", "content": "And so the next one is greater than one, so it would be a positive number.", "session_id": 16453, "sequence_id": 1052, "annotations": []}
{"role": "student", "content": "so this will be 2", "session_id": 16453, "sequence_id": 1053, "annotations": []}
{"role": "student", "content": "oh with these two, right? So it's 2 positive.", "session_id": 16453, "sequence_id": 1054, "annotations": []}
{"role": "student", "content": "positive", "session_id": 16453, "sequence_id": 1055, "annotations": []}
{"role": "student", "content": "and positive", "session_id": 16453, "sequence_id": 1056, "annotations": []}
{"role": "volunteer", "content": "Uh-huh", "session_id": 16453, "sequence_id": 1057, "annotations": []}
{"role": "volunteer", "content": "Good job", "session_id": 16453, "sequence_id": 1058, "annotations": []}
{"role": "student", "content": "6.", "session_id": 16453, "sequence_id": 1059, "annotations": []}
{"role": "student", "content": "Well, let me see how much I have left.", "session_id": 16453, "sequence_id": 1060, "annotations": []}
{"role": "student", "content": "bro", "session_id": 16453, "sequence_id": 1061, "annotations": []}
{"role": "volunteer", "content": "Hm", "session_id": 16453, "sequence_id": 1062, "annotations": []}
{"role": "volunteer", "content": "You seem to be doing well so far.", "session_id": 16453, "sequence_id": 1063, "annotations": []}
{"role": "student", "content": "hopefully I don't forget this on the sense.", "session_id": 16453, "sequence_id": 1064, "annotations": []}
{"role": "student", "content": "So", "session_id": 16453, "sequence_id": 1065, "annotations": []}
{"role": "student", "content": "draw a glass in the time.", "session_id": 16453, "sequence_id": 1066, "annotations": []}
{"role": "volunteer", "content": "Mm.", "session_id": 16453, "sequence_id": 1067, "annotations": []}
{"role": "student", "content": "All right. I'm just just doing this.", "session_id": 16453, "sequence_id": 1068, "annotations": []}
{"role": "volunteer", "content": "Let's see. So, draw a graph of a polynomial with the x intercept. so we know what the X intercepts are, right?", "session_id": 16453, "sequence_id": 1069, "annotations": []}
{"role": "student", "content": "Yeah.", "session_id": 16453, "sequence_id": 1070, "annotations": []}
{"role": "volunteer", "content": "So, mark those down first.", "session_id": 16453, "sequence_id": 1071, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 16453, "sequence_id": 1072, "annotations": []}
{"role": "student", "content": "oops", "session_id": 16453, "sequence_id": 1073, "annotations": []}
{"role": "volunteer", "content": "there a way you can", "session_id": 16453, "sequence_id": 1074, "annotations": []}
{"role": "volunteer", "content": "there we go", "session_id": 16453, "sequence_id": 1075, "annotations": []}
{"role": "volunteer", "content": "So what is it? 2/3?", "session_id": 16453, "sequence_id": 1076, "annotations": []}
{"role": "student", "content": "but.", "session_id": 16453, "sequence_id": 1077, "annotations": []}
{"role": "student", "content": "it's a lot of", "session_id": 16453, "sequence_id": 1078, "annotations": []}
{"role": "student", "content": "It's like you have to draw the graph, I think.", "session_id": 16453, "sequence_id": 1079, "annotations": []}
{"role": "volunteer", "content": "Yeah, but it has to be negative below that number, right?", "session_id": 16453, "sequence_id": 1080, "annotations": []}
{"role": "student", "content": "So 6", "session_id": 16453, "sequence_id": 1081, "annotations": []}
{"role": "volunteer", "content": "everywhere else", "session_id": 16453, "sequence_id": 1082, "annotations": []}
{"role": "student", "content": "So below -6 would be like", "session_id": 16453, "sequence_id": 1083, "annotations": []}
{"role": "student", "content": "and then a both father 6.", "session_id": 16453, "sequence_id": 1084, "annotations": []}
{"role": "volunteer", "content": "Wait, did we make sure that that 3rd 1 was positive.", "session_id": 16453, "sequence_id": 1085, "annotations": []}
{"role": "student", "content": "they", "session_id": 16453, "sequence_id": 1086, "annotations": []}
{"role": "student", "content": "So would it be like this?", "session_id": 16453, "sequence_id": 1087, "annotations": []}
{"role": "student", "content": "like", "session_id": 16453, "sequence_id": 1088, "annotations": []}
{"role": "student", "content": "Which one", "session_id": 16453, "sequence_id": 1089, "annotations": []}
{"role": "volunteer", "content": "Wait, are we sure that number, that 3rd number is positive. It was", "session_id": 16453, "sequence_id": 1090, "annotations": []}
{"role": "volunteer", "content": "Um, between -4 and", "session_id": 16453, "sequence_id": 1091, "annotations": []}
{"role": "volunteer", "content": "1.", "session_id": 16453, "sequence_id": 1092, "annotations": []}
{"role": "student", "content": "What", "session_id": 16453, "sequence_id": 1093, "annotations": []}
{"role": "volunteer", "content": "Oh, number one, OK. So make the X intercepts. So what would the X intercepts be here?", "session_id": 16453, "sequence_id": 1094, "annotations": []}
{"role": "student", "content": "64 and 1.", "session_id": 16453, "sequence_id": 1095, "annotations": []}
{"role": "volunteer", "content": "Mhm. And so that means it would pass through -6, right, because it's going negative to positive.", "session_id": 16453, "sequence_id": 1096, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 16453, "sequence_id": 1097, "annotations": []}
{"role": "volunteer", "content": "And then it would bounce off -4.", "session_id": 16453, "sequence_id": 1098, "annotations": []}
{"role": "volunteer", "content": "because it's positive to positive, and then it would bounce off again at one because it's positive to positive.", "session_id": 16453, "sequence_id": 1099, "annotations": []}
{"role": "volunteer", "content": "Does that make sense", "session_id": 16453, "sequence_id": 1100, "annotations": []}
{"role": "volunteer", "content": "That looks right", "session_id": 16453, "sequence_id": 1101, "annotations": []}
{"role": "volunteer", "content": "Was that not", "session_id": 16453, "sequence_id": 1102, "annotations": []}
{"role": "volunteer", "content": "It's a -6, so pass through is a -6.", "session_id": 16453, "sequence_id": 1103, "annotations": []}
{"role": "volunteer", "content": "It would bounce off at is that 4, yep, 4, bounce off.", "session_id": 16453, "sequence_id": 1104, "annotations": []}
{"role": "volunteer", "content": "And then it would bounce off again at, does that say one?", "session_id": 16453, "sequence_id": 1105, "annotations": []}
{"role": "volunteer", "content": "and then go up from there", "session_id": 16453, "sequence_id": 1106, "annotations": []}
{"role": "volunteer", "content": "That should be right. And if it's not, that's not on you.", "session_id": 16453, "sequence_id": 1107, "annotations": []}
{"role": "student", "content": "This because it's not touching before.", "session_id": 16453, "sequence_id": 1108, "annotations": []}
{"role": "student", "content": "That's why", "session_id": 16453, "sequence_id": 1109, "annotations": []}
{"role": "volunteer", "content": "You should be right there. I don't care what that says.", "session_id": 16453, "sequence_id": 1110, "annotations": []}
{"role": "student", "content": "There'll be, oh wait, what?", "session_id": 16453, "sequence_id": 1111, "annotations": []}
{"role": "volunteer", "content": "Yeah, that's", "session_id": 16453, "sequence_id": 1112, "annotations": []}
{"role": "student", "content": "It's high value", "session_id": 16453, "sequence_id": 1113, "annotations": []}
{"role": "volunteer", "content": "huh", "session_id": 16453, "sequence_id": 1114, "annotations": []}
{"role": "student", "content": "Why is there a white a white barrier.", "session_id": 16453, "sequence_id": 1115, "annotations": []}
{"role": "volunteer", "content": "I", "session_id": 16453, "sequence_id": 1116, "annotations": []}
{"role": "volunteer", "content": "don't know", "session_id": 16453, "sequence_id": 1117, "annotations": []}
{"role": "student", "content": "also neg", "session_id": 16453, "sequence_id": 1118, "annotations": []}
{"role": "student", "content": "ative", "session_id": 16453, "sequence_id": 1119, "annotations": []}
{"role": "volunteer", "content": "Yeah, you were right on the graph, so I think that was just the program being stupid.", "session_id": 16453, "sequence_id": 1120, "annotations": []}
{"role": "student", "content": "So negative 6", "session_id": 16453, "sequence_id": 1121, "annotations": []}
{"role": "student", "content": "and then neg", "session_id": 16453, "sequence_id": 1122, "annotations": []}
{"role": "student", "content": "3", "session_id": 16453, "sequence_id": 1123, "annotations": []}
{"role": "student", "content": "causes to 0", "session_id": 16453, "sequence_id": 1124, "annotations": []}
{"role": "volunteer", "content": "Mhm", "session_id": 16453, "sequence_id": 1125, "annotations": []}
{"role": "volunteer", "content": "So it would have to cross the graph at, what does that say -6?", "session_id": 16453, "sequence_id": 1126, "annotations": []}
{"role": "volunteer", "content": "And then bounce off again at -3.", "session_id": 16453, "sequence_id": 1127, "annotations": []}
{"role": "volunteer", "content": "and then cross at 0", "session_id": 16453, "sequence_id": 1128, "annotations": []}
{"role": "volunteer", "content": "Maybe make it like taller. Maybe that'll work.", "session_id": 16453, "sequence_id": 1129, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 16453, "sequence_id": 1130, "annotations": []}
{"role": "volunteer", "content": "I'm just saying that cause that's what it looks like the problem was last time.", "session_id": 16453, "sequence_id": 1131, "annotations": []}
{"role": "volunteer", "content": "So I just redo that", "session_id": 16453, "sequence_id": 1132, "annotations": []}
{"role": "volunteer", "content": "So, started off low, yep, crossed through at that point, go up at the.", "session_id": 16453, "sequence_id": 1133, "annotations": []}
{"role": "volunteer", "content": "started off low, passed through at -6.", "session_id": 16453, "sequence_id": 1134, "annotations": []}
{"role": "volunteer", "content": "bounce off at -3.", "session_id": 16453, "sequence_id": 1135, "annotations": []}
{"role": "volunteer", "content": "I just say make it like taller and bumpier", "session_id": 16453, "sequence_id": 1136, "annotations": []}
{"role": "volunteer", "content": "Yep. Oh, that's, that's good enough. And then go down, and then bump at -3.", "session_id": 16453, "sequence_id": 1137, "annotations": []}
{"role": "volunteer", "content": "Good.", "session_id": 16453, "sequence_id": 1138, "annotations": []}
{"role": "volunteer", "content": "And then pass through at 0.", "session_id": 16453, "sequence_id": 1139, "annotations": []}
{"role": "volunteer", "content": "and then pass through again at 3.", "session_id": 16453, "sequence_id": 1140, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 16453, "sequence_id": 1141, "annotations": []}
{"role": "volunteer", "content": "Does that make sense? Why we're doing that?", "session_id": 16453, "sequence_id": 1142, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 16453, "sequence_id": 1143, "annotations": []}
{"role": "student", "content": "because it says like it goes.", "session_id": 16453, "sequence_id": 1144, "annotations": []}
{"role": "volunteer", "content": "Yeah.", "session_id": 16453, "sequence_id": 1145, "annotations": []}
{"role": "volunteer", "content": "And then pass through again at 3.", "session_id": 16453, "sequence_id": 1146, "annotations": []}
{"role": "volunteer", "content": "And then go positive from there.", "session_id": 16453, "sequence_id": 1147, "annotations": []}
{"role": "volunteer", "content": "And if you're wrong, I'm blaming the website.", "session_id": 16453, "sequence_id": 1148, "annotations": []}
{"role": "volunteer", "content": "Yay", "session_id": 16453, "sequence_id": 1149, "annotations": []}
{"role": "student", "content": "since", "session_id": 16453, "sequence_id": 1150, "annotations": []}
{"role": "volunteer", "content": "OK, let's move on to the next one", "session_id": 16453, "sequence_id": 1151, "annotations": []}
{"role": "volunteer", "content": "You understand why we did that?", "session_id": 16453, "sequence_id": 1152, "annotations": []}
{"role": "volunteer", "content": "So you remember how to do the Y intercept?", "session_id": 16453, "sequence_id": 1153, "annotations": []}
{"role": "volunteer", "content": "All right", "session_id": 16453, "sequence_id": 1154, "annotations": []}
{"role": "volunteer", "content": "Would it be 0", "session_id": 16453, "sequence_id": 1155, "annotations": []}
{"role": "volunteer", "content": "Are you sure", "session_id": 16453, "sequence_id": 1156, "annotations": []}
{"role": "volunteer", "content": "It would be when X equals 0, right?", "session_id": 16453, "sequence_id": 1157, "annotations": []}
{"role": "student", "content": "there was all because of the flesh.", "session_id": 16453, "sequence_id": 1158, "annotations": []}
{"role": "volunteer", "content": "So 0 + 3", "session_id": 16453, "sequence_id": 1159, "annotations": []}
{"role": "student", "content": "3", "session_id": 16453, "sequence_id": 1160, "annotations": []}
{"role": "volunteer", "content": "times 0 minus 22.", "session_id": 16453, "sequence_id": 1161, "annotations": []}
{"role": "volunteer", "content": "times 0 minus 5.", "session_id": 16453, "sequence_id": 1162, "annotations": []}
{"role": "student", "content": "0 minus 2 is -222, no, like 2 square is 4.", "session_id": 16453, "sequence_id": 1163, "annotations": []}
{"role": "volunteer", "content": "Good. So it would be 3", "session_id": 16453, "sequence_id": 1164, "annotations": []}
{"role": "student", "content": "So if you have a 585.", "session_id": 16453, "sequence_id": 1165, "annotations": []}
{"role": "student", "content": "34-5", "session_id": 16453, "sequence_id": 1166, "annotations": []}
{"role": "student", "content": "Well.", "session_id": 16453, "sequence_id": 1167, "annotations": []}
{"role": "student", "content": "Well.", "session_id": 16453, "sequence_id": 1168, "annotations": []}
{"role": "volunteer", "content": "3 times 40 sorry, sorry, what would the function be then?", "session_id": 16453, "sequence_id": 1169, "annotations": []}
{"role": "student", "content": "12 times 5 is -60.", "session_id": 16453, "sequence_id": 1170, "annotations": []}
{"role": "volunteer", "content": "Good.", "session_id": 16453, "sequence_id": 1171, "annotations": []}
{"role": "volunteer", "content": "I think that would be the right answer.", "session_id": 16453, "sequence_id": 1172, "annotations": []}
{"role": "student", "content": "OK, so the root roots are", "session_id": 16453, "sequence_id": 1173, "annotations": []}
{"role": "student", "content": "-3", "session_id": 16453, "sequence_id": 1174, "annotations": []}
{"role": "volunteer", "content": "Good.", "session_id": 16453, "sequence_id": 1175, "annotations": []}
{"role": "student", "content": "2", "session_id": 16453, "sequence_id": 1176, "annotations": []}
{"role": "volunteer", "content": "Good", "session_id": 16453, "sequence_id": 1177, "annotations": []}
{"role": "student", "content": "and 5.", "session_id": 16453, "sequence_id": 1178, "annotations": []}
{"role": "volunteer", "content": "Good", "session_id": 16453, "sequence_id": 1179, "annotations": []}
{"role": "volunteer", "content": "Mm.", "session_id": 16453, "sequence_id": 1180, "annotations": []}
{"role": "student", "content": "Oh, bro, I hate sign charts.", "session_id": 16453, "sequence_id": 1181, "annotations": []}
{"role": "student", "content": "so less than negative, so -4 + 3 is negative.", "session_id": 16453, "sequence_id": 1182, "annotations": []}
{"role": "volunteer", "content": "Well, do you wanna know a trait?", "session_id": 16453, "sequence_id": 1183, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 16453, "sequence_id": 1184, "annotations": []}
{"role": "volunteer", "content": "If it's lower than all of the functions.", "session_id": 16453, "sequence_id": 1185, "annotations": []}
{"role": "student", "content": "So I", "session_id": 16453, "sequence_id": 1186, "annotations": []}
{"role": "volunteer", "content": "then it would be negative, right? Because all of them would have to be negative.", "session_id": 16453, "sequence_id": 1187, "annotations": []}
{"role": "student", "content": "so if it's low, it's negative for, if, if 4 is lower than 32 and 5.", "session_id": 16453, "sequence_id": 1188, "annotations": []}
{"role": "volunteer", "content": "Yeah, so basically, if it's all the way to the left, then every function is going to be negative if it isn't squared.", "session_id": 16453, "sequence_id": 1189, "annotations": []}
{"role": "volunteer", "content": "Does that make sense?", "session_id": 16453, "sequence_id": 1190, "annotations": []}
{"role": "student", "content": "So this will be negative, positive, negative.", "session_id": 16453, "sequence_id": 1191, "annotations": []}
{"role": "volunteer", "content": "So it'd be have to be negative, negative, and then positive because it's squared negative, right?", "session_id": 16453, "sequence_id": 1192, "annotations": []}
{"role": "student", "content": "Yeah, so, so negative, positive, negative.", "session_id": 16453, "sequence_id": 1193, "annotations": []}
{"role": "volunteer", "content": "Negative, negative, negative, positive.", "session_id": 16453, "sequence_id": 1194, "annotations": []}
{"role": "student", "content": "huh?", "session_id": 16453, "sequence_id": 1195, "annotations": []}
{"role": "volunteer", "content": "right?", "session_id": 16453, "sequence_id": 1196, "annotations": []}
{"role": "student", "content": "Oh, you said, you said.", "session_id": 16453, "sequence_id": 1197, "annotations": []}
{"role": "student", "content": "wait, so if this is negative,", "session_id": 16453, "sequence_id": 1198, "annotations": []}
{"role": "volunteer", "content": "Or sorry, I guess negative, negative, positive, negative.", "session_id": 16453, "sequence_id": 1199, "annotations": []}
{"role": "student", "content": "Well, yeah, but you still, you, you still quirks causes.", "session_id": 16453, "sequence_id": 1200, "annotations": []}
{"role": "student", "content": "Oh.", "session_id": 16453, "sequence_id": 1201, "annotations": []}
{"role": "volunteer", "content": "Right, cause there's a negative. Oh, sorry, that's not, I'm sorry, I, the equal sign only has like one black thing at the top. So I thought that was a negative sign. So no, it would be, yes, sorry, negative, positive, negative. So the answer would be", "session_id": 16453, "sequence_id": 1202, "annotations": []}
{"role": "student", "content": "negative, negative.", "session_id": 16453, "sequence_id": 1203, "annotations": []}
{"role": "student", "content": "positive is the negative, so positive.", "session_id": 16453, "sequence_id": 1204, "annotations": []}
{"role": "volunteer", "content": "yep.", "session_id": 16453, "sequence_id": 1205, "annotations": []}
{"role": "student", "content": "OK. So, in this", "session_id": 16453, "sequence_id": 1206, "annotations": []}
{"role": "student", "content": "in general", "session_id": 16453, "sequence_id": 1207, "annotations": []}
{"role": "volunteer", "content": "And so that one, another trick is basically, it would only change one, right? Because it's in between them.", "session_id": 16453, "sequence_id": 1208, "annotations": []}
{"role": "student", "content": "it will only change what", "session_id": 16453, "sequence_id": 1209, "annotations": []}
{"role": "volunteer", "content": "It would only change one of them negative. It would change the X minus 3 negative, right?", "session_id": 16453, "sequence_id": 1210, "annotations": []}
{"role": "volunteer", "content": "Or it would change it to a positive, right?", "session_id": 16453, "sequence_id": 1211, "annotations": []}
{"role": "volunteer", "content": "Like it would flip its sign from the last one because it's sna.", "session_id": 16453, "sequence_id": 1212, "annotations": []}
{"role": "student", "content": "What, wait, what will, what, what was the, the song?", "session_id": 16453, "sequence_id": 1213, "annotations": []}
{"role": "volunteer", "content": "because originally we're doing less than -3, right? So that would have to be negative.", "session_id": 16453, "sequence_id": 1214, "annotations": []}
{"role": "student", "content": "Oh", "session_id": 16453, "sequence_id": 1215, "annotations": []}
{"role": "volunteer", "content": "But now we're doing more than 3, so they'd have to be positive running.", "session_id": 16453, "sequence_id": 1216, "annotations": []}
{"role": "volunteer", "content": "because anything that's more than -3 + 3 is positive.", "session_id": 16453, "sequence_id": 1217, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 16453, "sequence_id": 1218, "annotations": []}
{"role": "volunteer", "content": "So that would be negative times of positive, times of positive because it's squared times a negative, which would be negative.", "session_id": 16453, "sequence_id": 1219, "annotations": []}
{"role": "student", "content": "Well, how is it negative? It's positive first, right?", "session_id": 16453, "sequence_id": 1220, "annotations": []}
{"role": "student", "content": "Oh", "session_id": 16453, "sequence_id": 1221, "annotations": []}
{"role": "volunteer", "content": "Sorry, I keep thinking that equals sign is a negative sign. So positive, positive, negative.", "session_id": 16453, "sequence_id": 1222, "annotations": []}
{"role": "student", "content": "positive, positive, negative, yeah.", "session_id": 16453, "sequence_id": 1223, "annotations": []}
{"role": "volunteer", "content": "Mhm", "session_id": 16453, "sequence_id": 1224, "annotations": []}
{"role": "volunteer", "content": "So that'd be negative, right?", "session_id": 16453, "sequence_id": 1225, "annotations": []}
{"role": "student", "content": "negative, yeah", "session_id": 16453, "sequence_id": 1226, "annotations": []}
{"role": "volunteer", "content": "And so this one, it would originally change the two, but because it's squared, it would stay positive, right? So that would be the same as the last one, would it not?", "session_id": 16453, "sequence_id": 1227, "annotations": []}
{"role": "student", "content": "Mhm", "session_id": 16453, "sequence_id": 1228, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 16453, "sequence_id": 1229, "annotations": []}
{"role": "volunteer", "content": "Good, so do that. And then it would have to be positive, positive, positive for the last one. If it's the last one, it would always be positive, or all of the ones inside of the function would be positive, right? Because it's the largest value.", "session_id": 16453, "sequence_id": 1230, "annotations": []}
{"role": "student", "content": "So negative, oh, so are the, oh the Y intercept is 60, so 60.", "session_id": 16453, "sequence_id": 1231, "annotations": []}
{"role": "student", "content": "and the roots are -3", "session_id": 16453, "sequence_id": 1232, "annotations": []}
{"role": "volunteer", "content": "Mhm. So if it's positive to negative, it would go from positive to the right.", "session_id": 16453, "sequence_id": 1233, "annotations": []}
{"role": "volunteer", "content": "go down, pass through 60 and then bounce at whatever that value is, is that 2?", "session_id": 16453, "sequence_id": 1234, "annotations": []}
{"role": "student", "content": "Yeah 2", "session_id": 16453, "sequence_id": 1235, "annotations": []}
{"role": "student", "content": "5", "session_id": 16453, "sequence_id": 1236, "annotations": []}
{"role": "student", "content": "Yeah.", "session_id": 16453, "sequence_id": 1237, "annotations": []}
{"role": "volunteer", "content": "So it bounce at 2 and then go to 5, right? And then cross the 5.", "session_id": 16453, "sequence_id": 1238, "annotations": []}
{"role": "volunteer", "content": "So do that", "session_id": 16453, "sequence_id": 1239, "annotations": []}
{"role": "student", "content": "Oh, it's, it's it.", "session_id": 16453, "sequence_id": 1240, "annotations": []}
{"role": "student", "content": "bro, which point is plotted in currently.", "session_id": 16453, "sequence_id": 1241, "annotations": []}
{"role": "volunteer", "content": "I think you just gotta make it like taller, cause it's weird like that.", "session_id": 16453, "sequence_id": 1242, "annotations": []}
{"role": "volunteer", "content": "Oh, also you're, you're doing positive 60. Remember it's -60.", "session_id": 16453, "sequence_id": 1243, "annotations": []}
{"role": "student", "content": "Oh", "session_id": 16453, "sequence_id": 1244, "annotations": []}
{"role": "student", "content": "Oh, that's fine", "session_id": 16453, "sequence_id": 1245, "annotations": []}
{"role": "student", "content": "So we're done", "session_id": 16453, "sequence_id": 1246, "annotations": []}
{"role": "student", "content": "Oh, we have to draw the graph.", "session_id": 16453, "sequence_id": 1247, "annotations": []}
{"role": "volunteer", "content": "Mhm", "session_id": 16453, "sequence_id": 1248, "annotations": []}
{"role": "student", "content": "OK, so it then will go from here.", "session_id": 16453, "sequence_id": 1249, "annotations": []}
{"role": "volunteer", "content": "Yeah, and it would cross at what number?", "session_id": 16453, "sequence_id": 1250, "annotations": []}
{"role": "student", "content": "3", "session_id": 16453, "sequence_id": 1251, "annotations": []}
{"role": "student", "content": "Wait, does it touch the Y, the Y intercept?", "session_id": 16453, "sequence_id": 1252, "annotations": []}
{"role": "volunteer", "content": "It would touch it, yeah, it would touch it at -60.", "session_id": 16453, "sequence_id": 1253, "annotations": []}
{"role": "volunteer", "content": "because that's the Y intercept. It's when X equals 0, so at x equals 0, it would be -60.", "session_id": 16453, "sequence_id": 1254, "annotations": []}
{"role": "student", "content": "processes all", "session_id": 16453, "sequence_id": 1255, "annotations": []}
{"role": "student", "content": "to 5", "session_id": 16453, "sequence_id": 1256, "annotations": []}
{"role": "volunteer", "content": "Yeah, it would bounce off there and then where to cross over at?", "session_id": 16453, "sequence_id": 1257, "annotations": []}
{"role": "volunteer", "content": "I would, wait, wait, wait, wait, wait, wait, wait.", "session_id": 16453, "sequence_id": 1258, "annotations": []}
{"role": "student", "content": "Oh.", "session_id": 16453, "sequence_id": 1259, "annotations": []}
{"role": "volunteer", "content": "I just think that's too short. I think you got to make it bumpier because the graphic is weird, right?", "session_id": 16453, "sequence_id": 1260, "annotations": []}
{"role": "student", "content": "where, where would I make a bump here", "session_id": 16453, "sequence_id": 1261, "annotations": []}
{"role": "volunteer", "content": "At the, you see where it bounced, I would just make it more obvious that it bounced.", "session_id": 16453, "sequence_id": 1262, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 16453, "sequence_id": 1263, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 16453, "sequence_id": 1264, "annotations": []}
{"role": "volunteer", "content": "So I know it's nitpicky, but I just don't want you to get it wrong and then you have to do it over again.", "session_id": 16453, "sequence_id": 1265, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 16453, "sequence_id": 1266, "annotations": []}
{"role": "student", "content": "So like, what do I do here? How do I make you bumpy?", "session_id": 16453, "sequence_id": 1267, "annotations": []}
{"role": "student", "content": "Like this", "session_id": 16453, "sequence_id": 1268, "annotations": []}
{"role": "volunteer", "content": "Uh, yeah, I always make it like more visible. Oh, no, no, no, no, no, you wouldn't like do a straight line. You do it like basically", "session_id": 16453, "sequence_id": 1269, "annotations": []}
{"role": "volunteer", "content": "you make sure it touches it and then goes back up and then you make it go across.", "session_id": 16453, "sequence_id": 1270, "annotations": []}
{"role": "volunteer", "content": "Like you want to like make sure that the bump is visible and then go up again.", "session_id": 16453, "sequence_id": 1271, "annotations": []}
{"role": "volunteer", "content": "Yep. And then touch it and then basically you go like all the way back down. They go down, no, no, no, that's a straight line, not a straight line.", "session_id": 16453, "sequence_id": 1272, "annotations": []}
{"role": "student", "content": "I'll go back. Oh.", "session_id": 16453, "sequence_id": 1273, "annotations": []}
{"role": "volunteer", "content": "You got to make it sure it touches it and then goes back down.", "session_id": 16453, "sequence_id": 1274, "annotations": []}
{"role": "volunteer", "content": "Good. And then pass through at -60.", "session_id": 16453, "sequence_id": 1275, "annotations": []}
{"role": "volunteer", "content": "and then", "session_id": 16453, "sequence_id": 1276, "annotations": []}
{"role": "volunteer", "content": "touch it", "session_id": 16453, "sequence_id": 1277, "annotations": []}
{"role": "student", "content": "I", "session_id": 16453, "sequence_id": 1278, "annotations": []}
{"role": "volunteer", "content": "and then when you touch it, go back down", "session_id": 16453, "sequence_id": 1279, "annotations": []}
{"role": "volunteer", "content": "Mm", "session_id": 16453, "sequence_id": 1280, "annotations": []}
{"role": "volunteer", "content": "like down", "session_id": 16453, "sequence_id": 1281, "annotations": []}
{"role": "volunteer", "content": "more down, like, make it, yes, and then go back up.", "session_id": 16453, "sequence_id": 1282, "annotations": []}
{"role": "volunteer", "content": "Sorry, I know that's nitpicky, but I just want it to not fail.", "session_id": 16453, "sequence_id": 1283, "annotations": []}
{"role": "volunteer", "content": "And that's like a quadratic graph, right? So turn that in.", "session_id": 16453, "sequence_id": 1284, "annotations": []}
{"role": "volunteer", "content": "Yay", "session_id": 16453, "sequence_id": 1285, "annotations": []}
{"role": "volunteer", "content": "And you see how it like went like a bump there too.", "session_id": 16453, "sequence_id": 1286, "annotations": []}
{"role": "volunteer", "content": "See, that's almost like an exact graph.", "session_id": 16453, "sequence_id": 1287, "annotations": []}
{"role": "volunteer", "content": "All right, you ready for your next one", "session_id": 16453, "sequence_id": 1288, "annotations": []}
{"role": "volunteer", "content": "Like.", "session_id": 16453, "sequence_id": 1289, "annotations": []}
{"role": "volunteer", "content": "cannot hear your mic if you're talking", "session_id": 16453, "sequence_id": 1290, "annotations": []}
{"role": "student", "content": "Hello.", "session_id": 16453, "sequence_id": 1291, "annotations": []}
{"role": "volunteer", "content": "Hello, I can hear you now", "session_id": 16453, "sequence_id": 1292, "annotations": []}
{"role": "student", "content": "so", "session_id": 16453, "sequence_id": 1293, "annotations": []}
{"role": "volunteer", "content": "All right, you know how to identify the real roots, right?", "session_id": 16453, "sequence_id": 1294, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 16453, "sequence_id": 1295, "annotations": []}
{"role": "volunteer", "content": "All right. So what would they be", "session_id": 16453, "sequence_id": 1296, "annotations": []}
{"role": "student", "content": "0 times 1 times 0 is 0, right?", "session_id": 16453, "sequence_id": 1297, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 16453, "sequence_id": 1298, "annotations": []}
{"role": "volunteer", "content": "So what would negative X have to be to equal 0.", "session_id": 16453, "sequence_id": 1299, "annotations": []}
{"role": "student", "content": "Uh", "session_id": 16453, "sequence_id": 1300, "annotations": []}
{"role": "volunteer", "content": "Where would it equals 0", "session_id": 16453, "sequence_id": 1301, "annotations": []}
{"role": "student", "content": "negative X. Well, what do you mean negative X? You mean X?", "session_id": 16453, "sequence_id": 1302, "annotations": []}
{"role": "volunteer", "content": "Well, it's negative X there, but yeah, -1 times X equals 0.", "session_id": 16453, "sequence_id": 1303, "annotations": []}
{"role": "student", "content": "Mhm", "session_id": 16453, "sequence_id": 1304, "annotations": []}
{"role": "volunteer", "content": "So what would X be", "session_id": 16453, "sequence_id": 1305, "annotations": []}
{"role": "student", "content": "0", "session_id": 16453, "sequence_id": 1306, "annotations": []}
{"role": "volunteer", "content": "Yup.", "session_id": 16453, "sequence_id": 1307, "annotations": []}
{"role": "student", "content": "OK", "session_id": 16453, "sequence_id": 1308, "annotations": []}
{"role": "volunteer", "content": "So that would be one of the routes. And then 2 x minus 7", "session_id": 16453, "sequence_id": 1309, "annotations": []}
{"role": "volunteer", "content": "what would that one have to be?", "session_id": 16453, "sequence_id": 1310, "annotations": []}
{"role": "student", "content": "OK. So,", "session_id": 16453, "sequence_id": 1311, "annotations": []}
{"role": "student", "content": "2 times.", "session_id": 16453, "sequence_id": 1312, "annotations": []}
{"role": "student", "content": "3.5", "session_id": 16453, "sequence_id": 1313, "annotations": []}
{"role": "volunteer", "content": "Yup, or, or um seven halves, either one, it's up to you.", "session_id": 16453, "sequence_id": 1314, "annotations": []}
{"role": "student", "content": "OK, so please not 5.", "session_id": 16453, "sequence_id": 1315, "annotations": []}
{"role": "student", "content": "And then this one will be", "session_id": 16453, "sequence_id": 1316, "annotations": []}
{"role": "volunteer", "content": "Is there a way you can write a route", "session_id": 16453, "sequence_id": 1317, "annotations": []}
{"role": "volunteer", "content": "like a square root", "session_id": 16453, "sequence_id": 1318, "annotations": []}
{"role": "student", "content": "I'm just writing here for now.", "session_id": 16453, "sequence_id": 1319, "annotations": []}
{"role": "volunteer", "content": "I would do the square root of 10 or, oh, actually that would be a negative number. So it says", "session_id": 16453, "sequence_id": 1320, "annotations": []}
{"role": "volunteer", "content": "Oh wait, we're identifying the Y intercept. What are we doing?", "session_id": 16453, "sequence_id": 1321, "annotations": []}
{"role": "student", "content": "Oh yeah. Oh", "session_id": 16453, "sequence_id": 1322, "annotations": []}
{"role": "student", "content": "Oh yeah", "session_id": 16453, "sequence_id": 1323, "annotations": []}
{"role": "student", "content": "So 0 times 2.", "session_id": 16453, "sequence_id": 1324, "annotations": []}
{"role": "volunteer", "content": "So", "session_id": 16453, "sequence_id": 1325, "annotations": []}
{"role": "student", "content": "So the first number X is 0, so 0. The first one is 0 plus.", "session_id": 16453, "sequence_id": 1326, "annotations": []}
{"role": "student", "content": "I mean times", "session_id": 16453, "sequence_id": 1327, "annotations": []}
{"role": "volunteer", "content": "well, no, we're, we're we're multiplying, right?", "session_id": 16453, "sequence_id": 1328, "annotations": []}
{"role": "student", "content": "Yeah, times", "session_id": 16453, "sequence_id": 1329, "annotations": []}
{"role": "volunteer", "content": "So,", "session_id": 16453, "sequence_id": 1330, "annotations": []}
{"role": "student", "content": "0 minus 7, so times -7.", "session_id": 16453, "sequence_id": 1331, "annotations": []}
{"role": "student", "content": "times 0.", "session_id": 16453, "sequence_id": 1332, "annotations": []}
{"role": "volunteer", "content": "well, times", "session_id": 16453, "sequence_id": 1333, "annotations": []}
{"role": "student", "content": "No, 10", "session_id": 16453, "sequence_id": 1334, "annotations": []}
{"role": "volunteer", "content": "+ 10. But what would 0 times anything be?", "session_id": 16453, "sequence_id": 1335, "annotations": []}
{"role": "student", "content": "0.", "session_id": 16453, "sequence_id": 1336, "annotations": []}
{"role": "volunteer", "content": "So what would the Y intercept be", "session_id": 16453, "sequence_id": 1337, "annotations": []}
{"role": "volunteer", "content": "Mhm.", "session_id": 16453, "sequence_id": 1338, "annotations": []}
{"role": "student", "content": "Oh, cause, oh, cause it starts at, at 0.", "session_id": 16453, "sequence_id": 1339, "annotations": []}
{"role": "student", "content": "Makes sense. OK, so do we.", "session_id": 16453, "sequence_id": 1340, "annotations": []}
{"role": "student", "content": "Yeah, 0", "session_id": 16453, "sequence_id": 1341, "annotations": []}
{"role": "student", "content": "225", "session_id": 16453, "sequence_id": 1342, "annotations": []}
{"role": "volunteer", "content": "So now we find the real roots. So there would be 10, right? And then one at 3.5. Now, you see how", "session_id": 16453, "sequence_id": 1343, "annotations": []}
{"role": "student", "content": "How do you meet this -10.", "session_id": 16453, "sequence_id": 1344, "annotations": []}
{"role": "volunteer", "content": "because it's", "session_id": 16453, "sequence_id": 1345, "annotations": []}
{"role": "volunteer", "content": "see, that would be an imaginary route because it would be x + 10.", "session_id": 16453, "sequence_id": 1346, "annotations": []}
{"role": "volunteer", "content": "So because it's imaginary, we wouldn't have to write it down.", "session_id": 16453, "sequence_id": 1347, "annotations": []}
{"role": "student", "content": "Oh", "session_id": 16453, "sequence_id": 1348, "annotations": []}
{"role": "volunteer", "content": "Does that make sense?", "session_id": 16453, "sequence_id": 1349, "annotations": []}
{"role": "student", "content": "Yeah, that makes sense", "session_id": 16453, "sequence_id": 1350, "annotations": []}
{"role": "volunteer", "content": "Because it can't be equal zero. It can never equal zero unless it's an imaginary number.", "session_id": 16453, "sequence_id": 1351, "annotations": []}
{"role": "student", "content": "OK", "session_id": 16453, "sequence_id": 1352, "annotations": []}
{"role": "volunteer", "content": "All right, so plug in any number that's", "session_id": 16453, "sequence_id": 1353, "annotations": []}
{"role": "volunteer", "content": "negative", "session_id": 16453, "sequence_id": 1354, "annotations": []}
{"role": "student", "content": "So you", "session_id": 16453, "sequence_id": 1355, "annotations": []}
{"role": "volunteer", "content": "Well, let's do -1 because it's easy.", "session_id": 16453, "sequence_id": 1356, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 16453, "sequence_id": 1357, "annotations": []}
{"role": "volunteer", "content": "So,", "session_id": 16453, "sequence_id": 1358, "annotations": []}
{"role": "student", "content": "omega one", "session_id": 16453, "sequence_id": 1359, "annotations": []}
{"role": "student", "content": "positive", "session_id": 16453, "sequence_id": 1360, "annotations": []}
{"role": "volunteer", "content": "yeah", "session_id": 16453, "sequence_id": 1361, "annotations": []}
{"role": "student", "content": "negative", "session_id": 16453, "sequence_id": 1362, "annotations": []}
{"role": "volunteer", "content": "Uh-huh", "session_id": 16453, "sequence_id": 1363, "annotations": []}
{"role": "student", "content": "positive", "session_id": 16453, "sequence_id": 1364, "annotations": []}
{"role": "volunteer", "content": "yep", "session_id": 16453, "sequence_id": 1365, "annotations": []}
{"role": "volunteer", "content": "So negative", "session_id": 16453, "sequence_id": 1366, "annotations": []}
{"role": "volunteer", "content": "time, sorry, positive and negative times of positive is.", "session_id": 16453, "sequence_id": 1367, "annotations": []}
{"role": "student", "content": "negative", "session_id": 16453, "sequence_id": 1368, "annotations": []}
{"role": "volunteer", "content": "Good", "session_id": 16453, "sequence_id": 1369, "annotations": []}
{"role": "student", "content": "OK, let's do one.", "session_id": 16453, "sequence_id": 1370, "annotations": []}
{"role": "student", "content": "negative", "session_id": 16453, "sequence_id": 1371, "annotations": []}
{"role": "student", "content": "negative", "session_id": 16453, "sequence_id": 1372, "annotations": []}
{"role": "student", "content": "positive", "session_id": 16453, "sequence_id": 1373, "annotations": []}
{"role": "student", "content": "right?", "session_id": 16453, "sequence_id": 1374, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 16453, "sequence_id": 1375, "annotations": []}
{"role": "student", "content": "Negative times and negative is so positive.", "session_id": 16453, "sequence_id": 1376, "annotations": []}
{"role": "volunteer", "content": "Uh-huh", "session_id": 16453, "sequence_id": 1377, "annotations": []}
{"role": "student", "content": "OK", "session_id": 16453, "sequence_id": 1378, "annotations": []}
{"role": "student", "content": "Negative", "session_id": 16453, "sequence_id": 1379, "annotations": []}
{"role": "student", "content": "negative", "session_id": 16453, "sequence_id": 1380, "annotations": []}
{"role": "student", "content": "positive", "session_id": 16453, "sequence_id": 1381, "annotations": []}
{"role": "student", "content": "OK, I have a question", "session_id": 16453, "sequence_id": 1382, "annotations": []}
{"role": "volunteer", "content": "Wait, negative. Are you sure that one's negative in the middle?", "session_id": 16453, "sequence_id": 1383, "annotations": []}
{"role": "student", "content": "This", "session_id": 16453, "sequence_id": 1384, "annotations": []}
{"role": "volunteer", "content": "No. Are you, for the last one, are you sure that 2 x minus 7? because we're using a number that's bigger than 7 halves, right?", "session_id": 16453, "sequence_id": 1385, "annotations": []}
{"role": "student", "content": "00 yeah.", "session_id": 16453, "sequence_id": 1386, "annotations": []}
{"role": "student", "content": "Oh, so next you's positive, positive.", "session_id": 16453, "sequence_id": 1387, "annotations": []}
{"role": "volunteer", "content": "So that'd be a negative kind of positive times of positive, which is right.", "session_id": 16453, "sequence_id": 1388, "annotations": []}
{"role": "volunteer", "content": "yeah", "session_id": 16453, "sequence_id": 1389, "annotations": []}
{"role": "volunteer", "content": "Uh-huh.", "session_id": 16453, "sequence_id": 1390, "annotations": []}
{"role": "student", "content": "negative. Well, I have a question. You know how you were telling me how exqui I when it's squirt, it's always a positive. Is it the same for when it's scored inside the parenthesis.", "session_id": 16453, "sequence_id": 1391, "annotations": []}
{"role": "volunteer", "content": "Yup", "session_id": 16453, "sequence_id": 1392, "annotations": []}
{"role": "student", "content": "Like one", "session_id": 16453, "sequence_id": 1393, "annotations": []}
{"role": "volunteer", "content": "because what's -12?", "session_id": 16453, "sequence_id": 1394, "annotations": []}
{"role": "student", "content": "One", "session_id": 16453, "sequence_id": 1395, "annotations": []}
{"role": "student", "content": "OK", "session_id": 16453, "sequence_id": 1396, "annotations": []}
{"role": "volunteer", "content": "Yeah, and so if it's -52, it would just be 25 plus 10, which is 35. So", "session_id": 16453, "sequence_id": 1397, "annotations": []}
{"role": "volunteer", "content": "yeah, the, if it's a, unless it's imaginary, if it's squared, it's positive.", "session_id": 16453, "sequence_id": 1398, "annotations": []}
{"role": "student", "content": "Mm", "session_id": 16453, "sequence_id": 1399, "annotations": []}
{"role": "student", "content": "it", "session_id": 16453, "sequence_id": 1400, "annotations": []}
{"role": "volunteer", "content": "So if it has an I in it, then I'd watch out cause that would be the square root of -1.", "session_id": 16453, "sequence_id": 1401, "annotations": []}
{"role": "student", "content": "oh OK", "session_id": 16453, "sequence_id": 1402, "annotations": []}
{"role": "student", "content": "It's", "session_id": 16453, "sequence_id": 1403, "annotations": []}
{"role": "student", "content": "0", "session_id": 16453, "sequence_id": 1404, "annotations": []}
{"role": "volunteer", "content": "So what's the, so we know, we know the Y intercept, right?", "session_id": 16453, "sequence_id": 1405, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 16453, "sequence_id": 1406, "annotations": []}
{"role": "student", "content": "0", "session_id": 16453, "sequence_id": 1407, "annotations": []}
{"role": "volunteer", "content": "0, and then we're looking for 3.5, right?", "session_id": 16453, "sequence_id": 1408, "annotations": []}
{"role": "volunteer", "content": "So it goes from negative to positive at 0, and then from positive back to negative at 3.5.", "session_id": 16453, "sequence_id": 1409, "annotations": []}
{"role": "student", "content": "So negative to positive.", "session_id": 16453, "sequence_id": 1410, "annotations": []}
{"role": "student", "content": "Oops, so", "session_id": 16453, "sequence_id": 1411, "annotations": []}
{"role": "student", "content": "A negative", "session_id": 16453, "sequence_id": 1412, "annotations": []}
{"role": "student", "content": "to positive as 0, right?", "session_id": 16453, "sequence_id": 1413, "annotations": []}
{"role": "volunteer", "content": "Uh-huh", "session_id": 16453, "sequence_id": 1414, "annotations": []}
{"role": "student", "content": "And then it comes", "session_id": 16453, "sequence_id": 1415, "annotations": []}
{"role": "student", "content": "here.", "session_id": 16453, "sequence_id": 1416, "annotations": []}
{"role": "volunteer", "content": "and then back to negative, right?", "session_id": 16453, "sequence_id": 1417, "annotations": []}
{"role": "volunteer", "content": "Cause it's positive to negative. Yeah, looks good to me.", "session_id": 16453, "sequence_id": 1418, "annotations": []}
{"role": "student", "content": "Yeah, I don't think I touched it though.", "session_id": 16453, "sequence_id": 1419, "annotations": []}
{"role": "volunteer", "content": "That's up to you to decide. I can't see from here.", "session_id": 16453, "sequence_id": 1420, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 16453, "sequence_id": 1421, "annotations": []}
{"role": "student", "content": "like this", "session_id": 16453, "sequence_id": 1422, "annotations": []}
{"role": "student", "content": "Oh no.", "session_id": 16453, "sequence_id": 1423, "annotations": []}
{"role": "volunteer", "content": "Yup, that looks good to me. Doesn't look good to you?", "session_id": 16453, "sequence_id": 1424, "annotations": []}
{"role": "volunteer", "content": "OK.", "session_id": 16453, "sequence_id": 1425, "annotations": []}
{"role": "student", "content": "It was crooked at, it was like straight lineup so.", "session_id": 16453, "sequence_id": 1426, "annotations": []}
{"role": "volunteer", "content": "I don't think it needs to be exact. I just think it um wants to be a bit bumpy.", "session_id": 16453, "sequence_id": 1427, "annotations": []}
{"role": "student", "content": "so.", "session_id": 16453, "sequence_id": 1428, "annotations": []}
{"role": "student", "content": "Mhm", "session_id": 16453, "sequence_id": 1429, "annotations": []}
{"role": "student", "content": "Oh", "session_id": 16453, "sequence_id": 1430, "annotations": []}
{"role": "student", "content": "Oh my gosh, I hate inequalities.", "session_id": 16453, "sequence_id": 1431, "annotations": []}
{"role": "volunteer", "content": "Let's see. What does it say? 5 X and then 2 minus 8 is less than 0 or equal to.", "session_id": 16453, "sequence_id": 1432, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 16453, "sequence_id": 1433, "annotations": []}
{"role": "volunteer", "content": "All right, so when would it equal 0?", "session_id": 16453, "sequence_id": 1434, "annotations": []}
{"role": "volunteer", "content": "At what two numbers", "session_id": 16453, "sequence_id": 1435, "annotations": []}
{"role": "student", "content": "Oh", "session_id": 16453, "sequence_id": 1436, "annotations": []}
{"role": "student", "content": "Well, it's", "session_id": 16453, "sequence_id": 1437, "annotations": []}
{"role": "volunteer", "content": "At what", "session_id": 16453, "sequence_id": 1438, "annotations": []}
{"role": "student", "content": "oh, we're trying to find the boots.", "session_id": 16453, "sequence_id": 1439, "annotations": []}
{"role": "volunteer", "content": "Yeah, we're plotting the roots. So what, what two numbers would it equal 0 at?", "session_id": 16453, "sequence_id": 1440, "annotations": []}
{"role": "student", "content": "Uh", "session_id": 16453, "sequence_id": 1441, "annotations": []}
{"role": "student", "content": "05.", "session_id": 16453, "sequence_id": 1442, "annotations": []}
{"role": "volunteer", "content": "Where'd you get -5", "session_id": 16453, "sequence_id": 1443, "annotations": []}
{"role": "student", "content": "Oh.", "session_id": 16453, "sequence_id": 1444, "annotations": []}
{"role": "student", "content": "0", "session_id": 16453, "sequence_id": 1445, "annotations": []}
{"role": "volunteer", "content": "Yeah, because 5 times what is 0.", "session_id": 16453, "sequence_id": 1446, "annotations": []}
{"role": "student", "content": "0", "session_id": 16453, "sequence_id": 1447, "annotations": []}
{"role": "volunteer", "content": "Yup", "session_id": 16453, "sequence_id": 1448, "annotations": []}
{"role": "student", "content": "And then the second one, would it be 0 or no?", "session_id": 16453, "sequence_id": 1449, "annotations": []}
{"role": "student", "content": "04,", "session_id": 16453, "sequence_id": 1450, "annotations": []}
{"role": "student", "content": "4.", "session_id": 16453, "sequence_id": 1451, "annotations": []}
{"role": "volunteer", "content": "2 X minus 8. Then with 2, yep.", "session_id": 16453, "sequence_id": 1452, "annotations": []}
{"role": "student", "content": "less than or equal to. That means it's as close.", "session_id": 16453, "sequence_id": 1453, "annotations": []}
{"role": "volunteer", "content": "Well, we are, we're just finding the roots right now.", "session_id": 16453, "sequence_id": 1454, "annotations": []}
{"role": "student", "content": "Oh yeah.", "session_id": 16453, "sequence_id": 1455, "annotations": []}
{"role": "volunteer", "content": "So", "session_id": 16453, "sequence_id": 1456, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 16453, "sequence_id": 1457, "annotations": []}
{"role": "student", "content": "side choices", "session_id": 16453, "sequence_id": 1458, "annotations": []}
{"role": "volunteer", "content": "So plug in a number less than 0.", "session_id": 16453, "sequence_id": 1459, "annotations": []}
{"role": "student", "content": "negative.", "session_id": 16453, "sequence_id": 1460, "annotations": []}
{"role": "student", "content": "OK, so this is gonna be negative.", "session_id": 16453, "sequence_id": 1461, "annotations": []}
{"role": "volunteer", "content": "Uh", "session_id": 16453, "sequence_id": 1462, "annotations": []}
{"role": "student", "content": "And then this is gonna be", "session_id": 16453, "sequence_id": 1463, "annotations": []}
{"role": "student", "content": "negative", "session_id": 16453, "sequence_id": 1464, "annotations": []}
{"role": "volunteer", "content": "yep", "session_id": 16453, "sequence_id": 1465, "annotations": []}
{"role": "student", "content": "Do we need to do this", "session_id": 16453, "sequence_id": 1466, "annotations": []}
{"role": "volunteer", "content": "Do we need to do what", "session_id": 16453, "sequence_id": 1467, "annotations": []}
{"role": "student", "content": "No", "session_id": 16453, "sequence_id": 1468, "annotations": []}
{"role": "student", "content": "Does it", "session_id": 16453, "sequence_id": 1469, "annotations": []}
{"role": "volunteer", "content": "No, I wouldn't bother with it yet cause now we're just making a sign chart.", "session_id": 16453, "sequence_id": 1470, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 16453, "sequence_id": 1471, "annotations": []}
{"role": "volunteer", "content": "Because wherever it's negative, it has to be less than 0, right?", "session_id": 16453, "sequence_id": 1472, "annotations": []}
{"role": "student", "content": "Wait, negative times negative is positive so it used to be positive.", "session_id": 16453, "sequence_id": 1473, "annotations": []}
{"role": "volunteer", "content": "Are we sure on that", "session_id": 16453, "sequence_id": 1474, "annotations": []}
{"role": "volunteer", "content": "Yup.", "session_id": 16453, "sequence_id": 1475, "annotations": []}
{"role": "student", "content": "Right? Negative times the negative.", "session_id": 16453, "sequence_id": 1476, "annotations": []}
{"role": "volunteer", "content": "I'm just asking if you're sure on that. I know it's, I know you're right.", "session_id": 16453, "sequence_id": 1477, "annotations": []}
{"role": "student", "content": "Oh", "session_id": 16453, "sequence_id": 1478, "annotations": []}
{"role": "student", "content": "OK, 1", "session_id": 16453, "sequence_id": 1479, "annotations": []}
{"role": "student", "content": "positive", "session_id": 16453, "sequence_id": 1480, "annotations": []}
{"role": "student", "content": "and um negative.", "session_id": 16453, "sequence_id": 1481, "annotations": []}
{"role": "volunteer", "content": "Yep", "session_id": 16453, "sequence_id": 1482, "annotations": []}
{"role": "volunteer", "content": "Uh-huh", "session_id": 16453, "sequence_id": 1483, "annotations": []}
{"role": "student", "content": "So negative.", "session_id": 16453, "sequence_id": 1484, "annotations": []}
{"role": "student", "content": "And then this one positive.", "session_id": 16453, "sequence_id": 1485, "annotations": []}
{"role": "student", "content": "and positive", "session_id": 16453, "sequence_id": 1486, "annotations": []}
{"role": "volunteer", "content": "Good.", "session_id": 16453, "sequence_id": 1487, "annotations": []}
{"role": "student", "content": "Oh.", "session_id": 16453, "sequence_id": 1488, "annotations": []}
{"role": "student", "content": "interval notation", "session_id": 16453, "sequence_id": 1489, "annotations": []}
{"role": "student", "content": "How do you write the answer? So let me see example.", "session_id": 16453, "sequence_id": 1490, "annotations": []}
{"role": "volunteer", "content": "Sorry.", "session_id": 16453, "sequence_id": 1491, "annotations": []}
{"role": "student", "content": "like affinity", "session_id": 16453, "sequence_id": 1492, "annotations": []}
{"role": "student", "content": "0. How do I write? You see how they're writing it and like it's about.", "session_id": 16453, "sequence_id": 1493, "annotations": []}
{"role": "volunteer", "content": "Yeah, so let's go look at our normal problem.", "session_id": 16453, "sequence_id": 1494, "annotations": []}
{"role": "student", "content": "I don't know how to write it", "session_id": 16453, "sequence_id": 1495, "annotations": []}
{"role": "volunteer", "content": "All right. So, it can't be, so it's greater than or equal to 0, right?", "session_id": 16453, "sequence_id": 1496, "annotations": []}
{"role": "student", "content": "Mhm. It's less than working.", "session_id": 16453, "sequence_id": 1497, "annotations": []}
{"role": "volunteer", "content": "So do you know how to make it, so you know um how to make inclusive brackets.", "session_id": 16453, "sequence_id": 1498, "annotations": []}
{"role": "volunteer", "content": "So you, you", "session_id": 16453, "sequence_id": 1499, "annotations": []}
{"role": "student", "content": "She what", "session_id": 16453, "sequence_id": 1500, "annotations": []}
{"role": "volunteer", "content": "you know how to use parentheses to exclude things, right?", "session_id": 16453, "sequence_id": 1501, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 16453, "sequence_id": 1502, "annotations": []}
{"role": "volunteer", "content": "So brackets would be inclusive. And so when is it um less than or equal to 0.", "session_id": 16453, "sequence_id": 1503, "annotations": []}
{"role": "student", "content": "Mhm", "session_id": 16453, "sequence_id": 1504, "annotations": []}
{"role": "volunteer", "content": "Well, positive can't be less than 0, right?", "session_id": 16453, "sequence_id": 1505, "annotations": []}
{"role": "student", "content": "Oh yeah, yeah.", "session_id": 16453, "sequence_id": 1506, "annotations": []}
{"role": "volunteer", "content": "And so, when would it be less than or equal to 0 at what numbers?", "session_id": 16453, "sequence_id": 1507, "annotations": []}
{"role": "student", "content": "Wait, what", "session_id": 16453, "sequence_id": 1508, "annotations": []}
{"role": "volunteer", "content": "Well, when does it equal to 0?", "session_id": 16453, "sequence_id": 1509, "annotations": []}
{"role": "student", "content": "Why isn't it this one?", "session_id": 16453, "sequence_id": 1510, "annotations": []}
{"role": "student", "content": "Oh", "session_id": 16453, "sequence_id": 1511, "annotations": []}
{"role": "student", "content": "what", "session_id": 16453, "sequence_id": 1512, "annotations": []}
{"role": "volunteer", "content": "And yeah, those two numbers, it's equal to 0, right?", "session_id": 16453, "sequence_id": 1513, "annotations": []}
{"role": "student", "content": "Yeah, 084", "session_id": 16453, "sequence_id": 1514, "annotations": []}
{"role": "volunteer", "content": "And then everything in between those is less than 0, right?", "session_id": 16453, "sequence_id": 1515, "annotations": []}
{"role": "student", "content": "0 and 4", "session_id": 16453, "sequence_id": 1516, "annotations": []}
{"role": "volunteer", "content": "Yeah, everything", "session_id": 16453, "sequence_id": 1517, "annotations": []}
{"role": "student", "content": "Oh, cause it's negative", "session_id": 16453, "sequence_id": 1518, "annotations": []}
{"role": "volunteer", "content": "less, yeah, because it's negative, so it'd be less than 0, right?", "session_id": 16453, "sequence_id": 1519, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 16453, "sequence_id": 1520, "annotations": []}
{"role": "volunteer", "content": "And so, if it, if we're including 0 and 4,", "session_id": 16453, "sequence_id": 1521, "annotations": []}
{"role": "volunteer", "content": "and it's everything in between there.", "session_id": 16453, "sequence_id": 1522, "annotations": []}
{"role": "volunteer", "content": "We would use the double brackets, right?", "session_id": 16453, "sequence_id": 1523, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 16453, "sequence_id": 1524, "annotations": []}
{"role": "volunteer", "content": "[", "session_id": 16453, "sequence_id": 1525, "annotations": []}
{"role": "volunteer", "content": "The bracket is this, I'm gonna send it in chat.", "session_id": 16453, "sequence_id": 1526, "annotations": []}
{"role": "volunteer", "content": "Like that's a bracket", "session_id": 16453, "sequence_id": 1527, "annotations": []}
{"role": "volunteer", "content": "[]", "session_id": 16453, "sequence_id": 1528, "annotations": []}
{"role": "student", "content": "Oh, are we thinking the double brackets because of the equal to?", "session_id": 16453, "sequence_id": 1529, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 16453, "sequence_id": 1530, "annotations": []}
{"role": "volunteer", "content": "because it's equal there at 0 and 4.", "session_id": 16453, "sequence_id": 1531, "annotations": []}
{"role": "student", "content": "I you.", "session_id": 16453, "sequence_id": 1532, "annotations": []}
{"role": "student", "content": "over", "session_id": 16453, "sequence_id": 1533, "annotations": []}
{"role": "volunteer", "content": "So it would be from, from what number to what number? Is it less than or equal to before. 0 to 4, right?", "session_id": 16453, "sequence_id": 1534, "annotations": []}
{"role": "volunteer", "content": "Good.", "session_id": 16453, "sequence_id": 1535, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 16453, "sequence_id": 1536, "annotations": []}
{"role": "student", "content": "So we just put that", "session_id": 16453, "sequence_id": 1537, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 16453, "sequence_id": 1538, "annotations": []}
{"role": "volunteer", "content": "That makes sense, right", "session_id": 16453, "sequence_id": 1539, "annotations": []}
{"role": "student", "content": "Oh", "session_id": 16453, "sequence_id": 1540, "annotations": []}
{"role": "volunteer", "content": "So do you know the roots here?", "session_id": 16453, "sequence_id": 1541, "annotations": []}
{"role": "student", "content": "If it's getting too late, you can let me know.", "session_id": 16453, "sequence_id": 1542, "annotations": []}
{"role": "volunteer", "content": "I, I know. I'll be fine. I stay up late.", "session_id": 16453, "sequence_id": 1543, "annotations": []}
{"role": "student", "content": "So.", "session_id": 16453, "sequence_id": 1544, "annotations": []}
{"role": "student", "content": "so.", "session_id": 16453, "sequence_id": 1545, "annotations": []}
{"role": "volunteer", "content": "So 2 times what the 40?", "session_id": 16453, "sequence_id": 1546, "annotations": []}
{"role": "volunteer", "content": "0, right", "session_id": 16453, "sequence_id": 1547, "annotations": []}
{"role": "volunteer", "content": "If you're talking, I can't hear you", "session_id": 16453, "sequence_id": 1548, "annotations": []}
{"role": "student", "content": "Oh", "session_id": 16453, "sequence_id": 1549, "annotations": []}
{"role": "volunteer", "content": "Hello hello.", "session_id": 16453, "sequence_id": 1550, "annotations": []}
{"role": "volunteer", "content": "Yeah, I can hear you", "session_id": 16453, "sequence_id": 1551, "annotations": []}
{"role": "student", "content": "OK, so 0. So this will be, we're trying to get 3, so.", "session_id": 16453, "sequence_id": 1552, "annotations": []}
{"role": "student", "content": "I mean, yeah, I", "session_id": 16453, "sequence_id": 1553, "annotations": []}
{"role": "volunteer", "content": "Yup, 3. So 0 and 3, right? Are they the only two roots?", "session_id": 16453, "sequence_id": 1554, "annotations": []}
{"role": "student", "content": "Why is it cubed and quadrupled.", "session_id": 16453, "sequence_id": 1555, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 16453, "sequence_id": 1556, "annotations": []}
{"role": "volunteer", "content": "Those are multiplicities, but the roots would still be the same. It just means that it equals 0 multiple times on those numbers.", "session_id": 16453, "sequence_id": 1557, "annotations": []}
{"role": "volunteer", "content": "So we're doing less than", "session_id": 16453, "sequence_id": 1558, "annotations": []}
{"role": "volunteer", "content": "0, right", "session_id": 16453, "sequence_id": 1559, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 16453, "sequence_id": 1560, "annotations": []}
{"role": "student", "content": "I guess", "session_id": 16453, "sequence_id": 1561, "annotations": []}
{"role": "volunteer", "content": "So -1", "session_id": 16453, "sequence_id": 1562, "annotations": []}
{"role": "student", "content": "negative once the 4th power.", "session_id": 16453, "sequence_id": 1563, "annotations": []}
{"role": "student", "content": "is -1", "session_id": 16453, "sequence_id": 1564, "annotations": []}
{"role": "volunteer", "content": "-1 to the 4th power", "session_id": 16453, "sequence_id": 1565, "annotations": []}
{"role": "student", "content": "No, it's 1", "session_id": 16453, "sequence_id": 1566, "annotations": []}
{"role": "student", "content": "It.", "session_id": 16453, "sequence_id": 1567, "annotations": []}
{"role": "student", "content": "positive", "session_id": 16453, "sequence_id": 1568, "annotations": []}
{"role": "volunteer", "content": "Yes, it's 1, good. So that'd be positive and then we plug in the corner to the other one would be", "session_id": 16453, "sequence_id": 1569, "annotations": []}
{"role": "student", "content": "Would this matter, the 3?", "session_id": 16453, "sequence_id": 1570, "annotations": []}
{"role": "volunteer", "content": "yep.", "session_id": 16453, "sequence_id": 1571, "annotations": []}
{"role": "student", "content": "OK, so,", "session_id": 16453, "sequence_id": 1572, "annotations": []}
{"role": "volunteer", "content": "because it'd be -8 cubed, right? And that would still end up being negative, right? Because 8 times 8 times -8 would still be negative, right? Because negative, negative, negative.", "session_id": 16453, "sequence_id": 1573, "annotations": []}
{"role": "student", "content": "oh", "session_id": 16453, "sequence_id": 1574, "annotations": []}
{"role": "student", "content": "the time, oh.", "session_id": 16453, "sequence_id": 1575, "annotations": []}
{"role": "volunteer", "content": "So if we do less than 0, that would be a positive number times a negative number.", "session_id": 16453, "sequence_id": 1576, "annotations": []}
{"role": "volunteer", "content": "Does that make sense", "session_id": 16453, "sequence_id": 1577, "annotations": []}
{"role": "student", "content": "So good", "session_id": 16453, "sequence_id": 1578, "annotations": []}
{"role": "volunteer", "content": "So negative", "session_id": 16453, "sequence_id": 1579, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 16453, "sequence_id": 1580, "annotations": []}
{"role": "volunteer", "content": "OK. And then for the middle ones, we are plugging in a number between 0 and 3.", "session_id": 16453, "sequence_id": 1581, "annotations": []}
{"role": "volunteer", "content": "So let's do 1", "session_id": 16453, "sequence_id": 1582, "annotations": []}
{"role": "volunteer", "content": "It would be", "session_id": 16453, "sequence_id": 1583, "annotations": []}
{"role": "student", "content": "OK", "session_id": 16453, "sequence_id": 1584, "annotations": []}
{"role": "volunteer", "content": "positive, right", "session_id": 16453, "sequence_id": 1585, "annotations": []}
{"role": "volunteer", "content": "And then", "session_id": 16453, "sequence_id": 1586, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 16453, "sequence_id": 1587, "annotations": []}
{"role": "volunteer", "content": "2 minus 6 is what, -4, and then 4 cubed is negative or positive.", "session_id": 16453, "sequence_id": 1588, "annotations": []}
{"role": "student", "content": "negative, right", "session_id": 16453, "sequence_id": 1589, "annotations": []}
{"role": "volunteer", "content": "Yeah, and so it would be a positive times a negative, which would be", "session_id": 16453, "sequence_id": 1590, "annotations": []}
{"role": "volunteer", "content": "good. And then if it's greater than 3", "session_id": 16453, "sequence_id": 1591, "annotations": []}
{"role": "volunteer", "content": "what would it be?", "session_id": 16453, "sequence_id": 1592, "annotations": []}
{"role": "student", "content": "This one also.", "session_id": 16453, "sequence_id": 1593, "annotations": []}
{"role": "volunteer", "content": "Positive", "session_id": 16453, "sequence_id": 1594, "annotations": []}
{"role": "volunteer", "content": "Good", "session_id": 16453, "sequence_id": 1595, "annotations": []}
{"role": "student", "content": "and this will be positive signs are positive, positive, so positive.", "session_id": 16453, "sequence_id": 1596, "annotations": []}
{"role": "volunteer", "content": "Uh-huh", "session_id": 16453, "sequence_id": 1597, "annotations": []}
{"role": "student", "content": "Oh, in Boston.", "session_id": 16453, "sequence_id": 1598, "annotations": [{"pii_type": "LOCATION", "surrogate": "Boston", "start": 7, "end": 13}]}
{"role": "student", "content": "I don't not know how to write Invernotations.", "session_id": 16453, "sequence_id": 1599, "annotations": []}
{"role": "volunteer", "content": "Well, let's submit this one first.", "session_id": 16453, "sequence_id": 1600, "annotations": []}
{"role": "student", "content": "How do we do this", "session_id": 16453, "sequence_id": 1601, "annotations": []}
{"role": "volunteer", "content": "Uh, and what was asking", "session_id": 16453, "sequence_id": 1602, "annotations": []}
{"role": "student", "content": "Inver notation", "session_id": 16453, "sequence_id": 1603, "annotations": []}
{"role": "volunteer", "content": "In", "session_id": 16453, "sequence_id": 1604, "annotations": []}
{"role": "student", "content": "Ah interval notations.", "session_id": 16453, "sequence_id": 1605, "annotations": []}
{"role": "volunteer", "content": "interval not. OK. Yeah, so.", "session_id": 16453, "sequence_id": 1606, "annotations": []}
{"role": "student", "content": "The one who didn't make the one was", "session_id": 16453, "sequence_id": 1607, "annotations": []}
{"role": "volunteer", "content": "so it's asking what is it less than 0, right, less than or equal to?", "session_id": 16453, "sequence_id": 1608, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 16453, "sequence_id": 1609, "annotations": []}
{"role": "volunteer", "content": "So when does it become", "session_id": 16453, "sequence_id": 1610, "annotations": []}
{"role": "volunteer", "content": "more than 0", "session_id": 16453, "sequence_id": 1611, "annotations": []}
{"role": "student", "content": "This one right here", "session_id": 16453, "sequence_id": 1612, "annotations": []}
{"role": "volunteer", "content": "Well, what number", "session_id": 16453, "sequence_id": 1613, "annotations": []}
{"role": "student", "content": "3", "session_id": 16453, "sequence_id": 1614, "annotations": []}
{"role": "volunteer", "content": "but it's still equal to 0 at 3, right? So we'd include 3.", "session_id": 16453, "sequence_id": 1615, "annotations": []}
{"role": "student", "content": "Oh, it's equal to.", "session_id": 16453, "sequence_id": 1616, "annotations": []}
{"role": "volunteer", "content": "Yeah, cause it's less than or equal to 0, right?", "session_id": 16453, "sequence_id": 1617, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 16453, "sequence_id": 1618, "annotations": []}
{"role": "volunteer", "content": "So it's equal to 0 at 3, right? Because it's a route.", "session_id": 16453, "sequence_id": 1619, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 16453, "sequence_id": 1620, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 16453, "sequence_id": 1621, "annotations": []}
{"role": "volunteer", "content": "So the ending point would be 3 in a bracket. Do you know what we put? cause every number before 3 is negative, right? So that'd be less than 0.", "session_id": 16453, "sequence_id": 1622, "annotations": []}
{"role": "student", "content": "I you know 43 is less than 0.", "session_id": 16453, "sequence_id": 1623, "annotations": []}
{"role": "volunteer", "content": "huh?", "session_id": 16453, "sequence_id": 1624, "annotations": []}
{"role": "student", "content": "You said every number before 3 is less than 0.", "session_id": 16453, "sequence_id": 1625, "annotations": []}
{"role": "volunteer", "content": "No", "session_id": 16453, "sequence_id": 1626, "annotations": []}
{"role": "volunteer", "content": "Uh.", "session_id": 16453, "sequence_id": 1627, "annotations": []}
{"role": "student", "content": "Yeah.", "session_id": 16453, "sequence_id": 1628, "annotations": []}
{"role": "volunteer", "content": "Yes, because if we plug in every number before 3, it's negative, right? We see that on the chart.", "session_id": 16453, "sequence_id": 1629, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 16453, "sequence_id": 1630, "annotations": []}
{"role": "volunteer", "content": "And so, what would it be if every number before 3 is equal to before is equal, is less than zero.", "session_id": 16453, "sequence_id": 1631, "annotations": []}
{"role": "student", "content": "Um, is it bracket", "session_id": 16453, "sequence_id": 1632, "annotations": []}
{"role": "volunteer", "content": "is negative infinity, right?", "session_id": 16453, "sequence_id": 1633, "annotations": []}
{"role": "volunteer", "content": "And see, actually we would put negative infinity in a parenthesis because we cannot technically reach negative infinity.", "session_id": 16453, "sequence_id": 1634, "annotations": []}
{"role": "student", "content": "I get.", "session_id": 16453, "sequence_id": 1635, "annotations": []}
{"role": "volunteer", "content": "or sorry, in a parenthesis. So it'd be parentheses and then brackets.", "session_id": 16453, "sequence_id": 1636, "annotations": []}
{"role": "student", "content": "So every time we start with negative infinity, it always has to be a parenthesis.", "session_id": 16453, "sequence_id": 1637, "annotations": []}
{"role": "volunteer", "content": "Yes, if it's going towards an infinity, it's a parentheses because we cannot technically reach infinity.", "session_id": 16453, "sequence_id": 1638, "annotations": []}
{"role": "student", "content": "OK", "session_id": 16453, "sequence_id": 1639, "annotations": []}
{"role": "student", "content": "And then this would be", "session_id": 16453, "sequence_id": 1640, "annotations": []}
{"role": "student", "content": "is it the bracket", "session_id": 16453, "sequence_id": 1641, "annotations": []}
{"role": "volunteer", "content": "And but then it would be a closed bracket, yeah, because at 3 it's still equal to 0.", "session_id": 16453, "sequence_id": 1642, "annotations": []}
{"role": "student", "content": "3, it's still equals to 0, right?", "session_id": 16453, "sequence_id": 1643, "annotations": []}
{"role": "volunteer", "content": "Yep. So that means we include it.", "session_id": 16453, "sequence_id": 1644, "annotations": []}
{"role": "student", "content": "So when will it be both, when will it be both parenthesis.", "session_id": 16453, "sequence_id": 1645, "annotations": []}
{"role": "volunteer", "content": "Um, if it's negative infinity to infinity.", "session_id": 16453, "sequence_id": 1646, "annotations": []}
{"role": "student", "content": "Um", "session_id": 16453, "sequence_id": 1647, "annotations": []}
{"role": "volunteer", "content": "or if it said it was just less than 0?", "session_id": 16453, "sequence_id": 1648, "annotations": []}
{"role": "student", "content": "OK", "session_id": 16453, "sequence_id": 1649, "annotations": []}
{"role": "volunteer", "content": "Like if it said it was just less than 0, it wouldn't equal 0 at 3, or it would equal 0 at 3, which wouldn't be less than 0, so it would be a parentheses there.", "session_id": 16453, "sequence_id": 1650, "annotations": []}
{"role": "volunteer", "content": "But because it includes the number 3", "session_id": 16453, "sequence_id": 1651, "annotations": []}
{"role": "volunteer", "content": "it would be a closed bracket.", "session_id": 16453, "sequence_id": 1652, "annotations": []}
{"role": "volunteer", "content": "Does that make sense", "session_id": 16453, "sequence_id": 1653, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 16453, "sequence_id": 1654, "annotations": []}
{"role": "volunteer", "content": "All right", "session_id": 16453, "sequence_id": 1655, "annotations": []}
{"role": "volunteer", "content": "How much more do we have", "session_id": 16453, "sequence_id": 1656, "annotations": []}
{"role": "volunteer", "content": "We got a lot, man.", "session_id": 16453, "sequence_id": 1657, "annotations": []}
{"role": "student", "content": "Mhm.", "session_id": 16453, "sequence_id": 1658, "annotations": []}
{"role": "volunteer", "content": "All right", "session_id": 16453, "sequence_id": 1659, "annotations": []}
{"role": "volunteer", "content": "You're doing well so far.", "session_id": 16453, "sequence_id": 1660, "annotations": []}
{"role": "volunteer", "content": "So plot the roots", "session_id": 16453, "sequence_id": 1661, "annotations": []}
{"role": "student", "content": "It should be 1", "session_id": 16453, "sequence_id": 1662, "annotations": []}
{"role": "volunteer", "content": "Uh-huh", "session_id": 16453, "sequence_id": 1663, "annotations": []}
{"role": "student", "content": "to get", "session_id": 16453, "sequence_id": 1664, "annotations": []}
{"role": "student", "content": "what", "session_id": 16453, "sequence_id": 1665, "annotations": []}
{"role": "volunteer", "content": "Good", "session_id": 16453, "sequence_id": 1666, "annotations": []}
{"role": "volunteer", "content": "Then make a sign chart. I'm going to leave this up to you.", "session_id": 16453, "sequence_id": 1667, "annotations": []}
{"role": "student", "content": "but.", "session_id": 16453, "sequence_id": 1668, "annotations": []}
{"role": "student", "content": "uh", "session_id": 16453, "sequence_id": 1669, "annotations": []}
{"role": "volunteer", "content": "Just making sure you're still there", "session_id": 16453, "sequence_id": 1670, "annotations": []}
{"role": "volunteer", "content": "All right, just making sure. I believe you got this.", "session_id": 16453, "sequence_id": 1671, "annotations": []}
{"role": "volunteer", "content": "Cause you gotta be able to do it on yourself on the test tomorrow.", "session_id": 16453, "sequence_id": 1672, "annotations": []}
{"role": "student", "content": "3", "session_id": 16453, "sequence_id": 1673, "annotations": []}
{"role": "volunteer", "content": "I also, your mic's cutting out so I can't hear you that well.", "session_id": 16453, "sequence_id": 1674, "annotations": []}
{"role": "student", "content": "Can you hear me now", "session_id": 16453, "sequence_id": 1675, "annotations": []}
{"role": "volunteer", "content": "A little bit, still cutting out a bit.", "session_id": 16453, "sequence_id": 1676, "annotations": []}
{"role": "student", "content": "Can you, can you hear me now", "session_id": 16453, "sequence_id": 1677, "annotations": []}
{"role": "volunteer", "content": "Yes, much better", "session_id": 16453, "sequence_id": 1678, "annotations": []}
{"role": "volunteer", "content": "All right, so what would you do next", "session_id": 16453, "sequence_id": 1679, "annotations": []}
{"role": "student", "content": "OK, so", "session_id": 16453, "sequence_id": 1680, "annotations": []}
{"role": "student", "content": "um", "session_id": 16453, "sequence_id": 1681, "annotations": []}
{"role": "student", "content": "0", "session_id": 16453, "sequence_id": 1682, "annotations": []}
{"role": "student", "content": "times 4 is 0.", "session_id": 16453, "sequence_id": 1683, "annotations": []}
{"role": "student", "content": "Those never full. So negative.", "session_id": 16453, "sequence_id": 1684, "annotations": []}
{"role": "student", "content": "0, so negative.", "session_id": 16453, "sequence_id": 1685, "annotations": []}
{"role": "student", "content": "She sounds for.", "session_id": 16453, "sequence_id": 1686, "annotations": []}
{"role": "student", "content": "positive", "session_id": 16453, "sequence_id": 1687, "annotations": []}
{"role": "student", "content": "Yay", "session_id": 16453, "sequence_id": 1688, "annotations": []}
{"role": "student", "content": "OK. Solutions that", "session_id": 16453, "sequence_id": 1689, "annotations": []}
{"role": "student", "content": "uh", "session_id": 16453, "sequence_id": 1690, "annotations": []}
{"role": "student", "content": "OK, this", "session_id": 16453, "sequence_id": 1691, "annotations": []}
{"role": "volunteer", "content": "Are you sure that last trip would be positive.", "session_id": 16453, "sequence_id": 1692, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 16453, "sequence_id": 1693, "annotations": []}
{"role": "student", "content": "right.", "session_id": 16453, "sequence_id": 1694, "annotations": []}
{"role": "volunteer", "content": "Yup, you're right", "session_id": 16453, "sequence_id": 1695, "annotations": []}
{"role": "student", "content": "Because", "session_id": 16453, "sequence_id": 1696, "annotations": []}
{"role": "student", "content": "OK", "session_id": 16453, "sequence_id": 1697, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 16453, "sequence_id": 1698, "annotations": []}
{"role": "volunteer", "content": "I'm just making sure, testing you.", "session_id": 16453, "sequence_id": 1699, "annotations": []}
{"role": "student", "content": "OK, well that I take into notation.", "session_id": 16453, "sequence_id": 1700, "annotations": []}
{"role": "volunteer", "content": "OK, I'm gonna, I think you can do this, but remember, look at the sign.", "session_id": 16453, "sequence_id": 1701, "annotations": []}
{"role": "volunteer", "content": "You see how it's not equal to zero.", "session_id": 16453, "sequence_id": 1702, "annotations": []}
{"role": "student", "content": "Oh yeah, negative infinity", "session_id": 16453, "sequence_id": 1703, "annotations": []}
{"role": "volunteer", "content": "So remember, it equals 0 at 5 and 1 or at -1 and 1. Do you know how to combine things together.", "session_id": 16453, "sequence_id": 1704, "annotations": []}
{"role": "volunteer", "content": "to combine two things together", "session_id": 16453, "sequence_id": 1705, "annotations": []}
{"role": "student", "content": "It equals your -1N1, right?", "session_id": 16453, "sequence_id": 1706, "annotations": []}
{"role": "volunteer", "content": "Oh, sorry, wait, it's looking for things greater than 0.", "session_id": 16453, "sequence_id": 1707, "annotations": []}
{"role": "student", "content": "Oh, you're miserable", "session_id": 16453, "sequence_id": 1708, "annotations": []}
{"role": "volunteer", "content": "right? And not greater than or equal to. So what would the lower number be?", "session_id": 16453, "sequence_id": 1709, "annotations": []}
{"role": "student", "content": "Negative and", "session_id": 16453, "sequence_id": 1710, "annotations": []}
{"role": "volunteer", "content": "No", "session_id": 16453, "sequence_id": 1711, "annotations": []}
{"role": "volunteer", "content": "If looking for things greater than 0, right?", "session_id": 16453, "sequence_id": 1712, "annotations": []}
{"role": "student", "content": "0", "session_id": 16453, "sequence_id": 1713, "annotations": []}
{"role": "volunteer", "content": "Would it be 0", "session_id": 16453, "sequence_id": 1714, "annotations": []}
{"role": "volunteer", "content": "When does it start becoming positive?", "session_id": 16453, "sequence_id": 1715, "annotations": []}
{"role": "student", "content": "2", "session_id": 16453, "sequence_id": 1716, "annotations": []}
{"role": "volunteer", "content": "Look at your chart", "session_id": 16453, "sequence_id": 1717, "annotations": []}
{"role": "student", "content": "6 bright clear. Isn't this one?", "session_id": 16453, "sequence_id": 1718, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 16453, "sequence_id": 1719, "annotations": []}
{"role": "student", "content": "a one", "session_id": 16453, "sequence_id": 1720, "annotations": []}
{"role": "volunteer", "content": "And you know why it's a soft bracket.", "session_id": 16453, "sequence_id": 1721, "annotations": []}
{"role": "student", "content": "Yeah, because it's not equal to.", "session_id": 16453, "sequence_id": 1722, "annotations": []}
{"role": "volunteer", "content": "Good.", "session_id": 16453, "sequence_id": 1723, "annotations": []}
{"role": "student", "content": "So one, you know, it woulder than 01 infinity.", "session_id": 16453, "sequence_id": 1724, "annotations": []}
{"role": "volunteer", "content": "Yup", "session_id": 16453, "sequence_id": 1725, "annotations": []}
{"role": "volunteer", "content": "That's what I got", "session_id": 16453, "sequence_id": 1726, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 16453, "sequence_id": 1727, "annotations": []}
{"role": "volunteer", "content": "OK, I'm gonna not say a word on this one.", "session_id": 16453, "sequence_id": 1728, "annotations": []}
{"role": "student", "content": "OK", "session_id": 16453, "sequence_id": 1729, "annotations": []}
{"role": "student", "content": "3 times, 2.", "session_id": 16453, "sequence_id": 1730, "annotations": []}
{"role": "student", "content": "it", "session_id": 16453, "sequence_id": 1731, "annotations": []}
{"role": "student", "content": "How do I do this", "session_id": 16453, "sequence_id": 1732, "annotations": []}
{"role": "volunteer", "content": "How do you do what", "session_id": 16453, "sequence_id": 1733, "annotations": []}
{"role": "student", "content": "Because it's -8. So how do I turn 5 into 8.", "session_id": 16453, "sequence_id": 1734, "annotations": []}
{"role": "volunteer", "content": "-8 + 3 is equal to 0, right?", "session_id": 16453, "sequence_id": 1735, "annotations": []}
{"role": "student", "content": "Um.", "session_id": 16453, "sequence_id": 1736, "annotations": []}
{"role": "volunteer", "content": "So what would -8 have to be multiplied by to get -3.", "session_id": 16453, "sequence_id": 1737, "annotations": []}
{"role": "student", "content": "Well, you said negative X what is there?", "session_id": 16453, "sequence_id": 1738, "annotations": []}
{"role": "volunteer", "content": "8 times what is 3, or is -3.", "session_id": 16453, "sequence_id": 1739, "annotations": []}
{"role": "volunteer", "content": "It would be a fraction", "session_id": 16453, "sequence_id": 1740, "annotations": []}
{"role": "student", "content": "810. What is -3?", "session_id": 16453, "sequence_id": 1741, "annotations": []}
{"role": "volunteer", "content": "Mhm", "session_id": 16453, "sequence_id": 1742, "annotations": []}
{"role": "student", "content": "Oh.", "session_id": 16453, "sequence_id": 1743, "annotations": []}
{"role": "volunteer", "content": "It would be 8/3, right?", "session_id": 16453, "sequence_id": 1744, "annotations": []}
{"role": "volunteer", "content": "Oh sorry, 3/8.", "session_id": 16453, "sequence_id": 1745, "annotations": []}
{"role": "volunteer", "content": "Because a divided by 8", "session_id": 16453, "sequence_id": 1746, "annotations": []}
{"role": "volunteer", "content": "times 3", "session_id": 16453, "sequence_id": 1747, "annotations": []}
{"role": "volunteer", "content": "times -1", "session_id": 16453, "sequence_id": 1748, "annotations": []}
{"role": "student", "content": "I equal negative 8", "session_id": 16453, "sequence_id": 1749, "annotations": []}
{"role": "volunteer", "content": "Uh-huh.", "session_id": 16453, "sequence_id": 1750, "annotations": []}
{"role": "volunteer", "content": "or it would equal 3/8.", "session_id": 16453, "sequence_id": 1751, "annotations": []}
{"role": "volunteer", "content": "because 3/8 times 8 is -3, right?", "session_id": 16453, "sequence_id": 1752, "annotations": []}
{"role": "student", "content": "So", "session_id": 16453, "sequence_id": 1753, "annotations": []}
{"role": "student", "content": "so how would I, so what equal eggs.", "session_id": 16453, "sequence_id": 1754, "annotations": []}
{"role": "volunteer", "content": "Hm.", "session_id": 16453, "sequence_id": 1755, "annotations": []}
{"role": "student", "content": "Would it be -38?", "session_id": 16453, "sequence_id": 1756, "annotations": []}
{"role": "volunteer", "content": "Well, it would it be -38 or 38?", "session_id": 16453, "sequence_id": 1757, "annotations": []}
{"role": "volunteer", "content": "Because it's already -8", "session_id": 16453, "sequence_id": 1758, "annotations": []}
{"role": "student", "content": "It's already +8", "session_id": 16453, "sequence_id": 1759, "annotations": []}
{"role": "volunteer", "content": "Oh, which one are you looking at", "session_id": 16453, "sequence_id": 1760, "annotations": []}
{"role": "student", "content": "This one", "session_id": 16453, "sequence_id": 1761, "annotations": []}
{"role": "volunteer", "content": "Oh, I'm sorry, I thought you were looking at the other one.", "session_id": 16453, "sequence_id": 1762, "annotations": []}
{"role": "volunteer", "content": "So, 5 X + 8", "session_id": 16453, "sequence_id": 1763, "annotations": []}
{"role": "volunteer", "content": "So 5 times what would equal -8.", "session_id": 16453, "sequence_id": 1764, "annotations": []}
{"role": "student", "content": "but it's fine", "session_id": 16453, "sequence_id": 1765, "annotations": []}
{"role": "volunteer", "content": "It would be", "session_id": 16453, "sequence_id": 1766, "annotations": []}
{"role": "volunteer", "content": "-8 over 5, right?", "session_id": 16453, "sequence_id": 1767, "annotations": []}
{"role": "volunteer", "content": "85", "session_id": 16453, "sequence_id": 1768, "annotations": []}
{"role": "volunteer", "content": "Because you would multiply", "session_id": 16453, "sequence_id": 1769, "annotations": []}
{"role": "volunteer", "content": "thought, you, you, you'd solve for it.", "session_id": 16453, "sequence_id": 1770, "annotations": []}
{"role": "volunteer", "content": "You'd have to get that equal to 0. So 5 x + 8 equals 0. Do you know how to do that?", "session_id": 16453, "sequence_id": 1771, "annotations": []}
{"role": "student", "content": "Oh yeah", "session_id": 16453, "sequence_id": 1772, "annotations": []}
{"role": "student", "content": "So.", "session_id": 16453, "sequence_id": 1773, "annotations": []}
{"role": "volunteer", "content": "Yeah, so you, you're, again, for every route, you're just finding how it equals 0.", "session_id": 16453, "sequence_id": 1774, "annotations": []}
{"role": "volunteer", "content": "So 5 x + 8 equals 0. How and what would your answer be?", "session_id": 16453, "sequence_id": 1775, "annotations": []}
{"role": "student", "content": "foods", "session_id": 16453, "sequence_id": 1776, "annotations": []}
{"role": "volunteer", "content": "85, you said?", "session_id": 16453, "sequence_id": 1777, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 16453, "sequence_id": 1778, "annotations": []}
{"role": "volunteer", "content": "Good.", "session_id": 16453, "sequence_id": 1779, "annotations": []}
{"role": "student", "content": "but all", "session_id": 16453, "sequence_id": 1780, "annotations": []}
{"role": "student", "content": "good", "session_id": 16453, "sequence_id": 1781, "annotations": []}
{"role": "volunteer", "content": "Well, 85 is slightly more than one, right? Or slightly less than -1.", "session_id": 16453, "sequence_id": 1782, "annotations": []}
{"role": "volunteer", "content": "Good.", "session_id": 16453, "sequence_id": 1783, "annotations": []}
{"role": "volunteer", "content": "And so what would that one be", "session_id": 16453, "sequence_id": 1784, "annotations": []}
{"role": "volunteer", "content": "Do you know how to solve it? You set it equals 0, right?", "session_id": 16453, "sequence_id": 1785, "annotations": []}
{"role": "student", "content": "so", "session_id": 16453, "sequence_id": 1786, "annotations": []}
{"role": "volunteer", "content": "So 8 x + 3 equals 0. Solur x.", "session_id": 16453, "sequence_id": 1787, "annotations": []}
{"role": "student", "content": "it", "session_id": 16453, "sequence_id": 1788, "annotations": []}
{"role": "volunteer", "content": "You said", "session_id": 16453, "sequence_id": 1789, "annotations": []}
{"role": "student", "content": "3 cases", "session_id": 16453, "sequence_id": 1790, "annotations": []}
{"role": "volunteer", "content": "38. Good", "session_id": 16453, "sequence_id": 1791, "annotations": []}
{"role": "student", "content": "is a 3.", "session_id": 16453, "sequence_id": 1792, "annotations": []}
{"role": "student", "content": "38", "session_id": 16453, "sequence_id": 1793, "annotations": []}
{"role": "volunteer", "content": "You did 3/8, cause 3/8 would be what, slightly less than 15, right?", "session_id": 16453, "sequence_id": 1794, "annotations": []}
{"role": "volunteer", "content": "Good.", "session_id": 16453, "sequence_id": 1795, "annotations": []}
{"role": "student", "content": "with slightly less than a half.", "session_id": 16453, "sequence_id": 1796, "annotations": []}
{"role": "volunteer", "content": "Yeah, because 3/8, cause 4/8 would be 1/2, right?", "session_id": 16453, "sequence_id": 1797, "annotations": []}
{"role": "student", "content": "Oh yeah", "session_id": 16453, "sequence_id": 1798, "annotations": []}
{"role": "student", "content": "Oh yeah", "session_id": 16453, "sequence_id": 1799, "annotations": []}
{"role": "volunteer", "content": "So 38 will be slightly less than 1/2. And then what's the last one? It would just be", "session_id": 16453, "sequence_id": 1800, "annotations": []}
{"role": "student", "content": "Um", "session_id": 16453, "sequence_id": 1801, "annotations": []}
{"role": "student", "content": "negative", "session_id": 16453, "sequence_id": 1802, "annotations": []}
{"role": "student", "content": "9", "session_id": 16453, "sequence_id": 1803, "annotations": []}
{"role": "volunteer", "content": "Yeah, good", "session_id": 16453, "sequence_id": 1804, "annotations": []}
{"role": "volunteer", "content": "And sote chart, you know how to do this.", "session_id": 16453, "sequence_id": 1805, "annotations": []}
{"role": "student", "content": "positive", "session_id": 16453, "sequence_id": 1806, "annotations": []}
{"role": "student", "content": "Oh, wait, when it's", "session_id": 16453, "sequence_id": 1807, "annotations": []}
{"role": "student", "content": "oh", "session_id": 16453, "sequence_id": 1808, "annotations": []}
{"role": "student", "content": "I forgot", "session_id": 16453, "sequence_id": 1809, "annotations": []}
{"role": "student", "content": "When, when it's um to the power of 4, is that positive as well?", "session_id": 16453, "sequence_id": 1810, "annotations": []}
{"role": "volunteer", "content": "Yeah, because it's even, right", "session_id": 16453, "sequence_id": 1811, "annotations": []}
{"role": "student", "content": "Yeah, and then negative", "session_id": 16453, "sequence_id": 1812, "annotations": []}
{"role": "volunteer", "content": "Good.", "session_id": 16453, "sequence_id": 1813, "annotations": []}
{"role": "student", "content": "So negative and positive is negative, times positive.", "session_id": 16453, "sequence_id": 1814, "annotations": []}
{"role": "student", "content": "negative. So the first one is positive.", "session_id": 16453, "sequence_id": 1815, "annotations": []}
{"role": "volunteer", "content": "Probably, I don't know", "session_id": 16453, "sequence_id": 1816, "annotations": []}
{"role": "student", "content": "Mm", "session_id": 16453, "sequence_id": 1817, "annotations": []}
{"role": "volunteer", "content": "I'm not doing it. It's up to you", "session_id": 16453, "sequence_id": 1818, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 16453, "sequence_id": 1819, "annotations": []}
{"role": "student", "content": "So", "session_id": 16453, "sequence_id": 1820, "annotations": []}
{"role": "student", "content": "mhm", "session_id": 16453, "sequence_id": 1821, "annotations": []}
{"role": "student", "content": "3.", "session_id": 16453, "sequence_id": 1822, "annotations": []}
{"role": "student", "content": "no", "session_id": 16453, "sequence_id": 1823, "annotations": []}
{"role": "student", "content": "positive", "session_id": 16453, "sequence_id": 1824, "annotations": []}
{"role": "student", "content": "positive", "session_id": 16453, "sequence_id": 1825, "annotations": []}
{"role": "student", "content": "symptoms", "session_id": 16453, "sequence_id": 1826, "annotations": []}
{"role": "student", "content": "so sometimes.", "session_id": 16453, "sequence_id": 1827, "annotations": []}
{"role": "volunteer", "content": "wow", "session_id": 16453, "sequence_id": 1828, "annotations": []}
{"role": "student", "content": "huh", "session_id": 16453, "sequence_id": 1829, "annotations": []}
{"role": "student", "content": "0 times 3 is 0, so.", "session_id": 16453, "sequence_id": 1830, "annotations": []}
{"role": "student", "content": "40", "session_id": 16453, "sequence_id": 1831, "annotations": []}
{"role": "student", "content": "3 times 20 yeah, cause if it's not greater, if it's not greater than 3.", "session_id": 16453, "sequence_id": 1832, "annotations": []}
{"role": "student", "content": "Wait, so", "session_id": 16453, "sequence_id": 1833, "annotations": []}
{"role": "volunteer", "content": "It's rarer than or equal to it looks like.", "session_id": 16453, "sequence_id": 1834, "annotations": []}
{"role": "student", "content": "Oh, if it's not greater than if it's not greater than 2.", "session_id": 16453, "sequence_id": 1835, "annotations": []}
{"role": "student", "content": "It was not greater than 2, then it can't be positive.", "session_id": 16453, "sequence_id": 1836, "annotations": []}
{"role": "student", "content": "So that's negative. This is gonna be positive.", "session_id": 16453, "sequence_id": 1837, "annotations": []}
{"role": "student", "content": "positive", "session_id": 16453, "sequence_id": 1838, "annotations": []}
{"role": "student", "content": "Mother, positive, positive.", "session_id": 16453, "sequence_id": 1839, "annotations": []}
{"role": "student", "content": "we", "session_id": 16453, "sequence_id": 1840, "annotations": []}
{"role": "student", "content": "positive", "session_id": 16453, "sequence_id": 1841, "annotations": []}
{"role": "student", "content": "such positive, positive.", "session_id": 16453, "sequence_id": 1842, "annotations": []}
{"role": "student", "content": "positive.", "session_id": 16453, "sequence_id": 1843, "annotations": []}
{"role": "student", "content": "Those nes", "session_id": 16453, "sequence_id": 1844, "annotations": []}
{"role": "student", "content": "negative.", "session_id": 16453, "sequence_id": 1845, "annotations": []}
{"role": "student", "content": "Yes, I got it right.", "session_id": 16453, "sequence_id": 1846, "annotations": []}
{"role": "student", "content": "OK, now, inequality.", "session_id": 16453, "sequence_id": 1847, "annotations": []}
{"role": "student", "content": "OK, so this will be", "session_id": 16453, "sequence_id": 1848, "annotations": []}
{"role": "student", "content": "bracket", "session_id": 16453, "sequence_id": 1849, "annotations": []}
{"role": "volunteer", "content": "Uh, you wanna look at that one more time?", "session_id": 16453, "sequence_id": 1850, "annotations": []}
{"role": "student", "content": "Um", "session_id": 16453, "sequence_id": 1851, "annotations": []}
{"role": "volunteer", "content": "It's everything to the left of 2, right? You just have to do it, um, from the lowest value to the most value. It's a like number thing.", "session_id": 16453, "sequence_id": 1852, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 16453, "sequence_id": 1853, "annotations": []}
{"role": "student", "content": "It's, is, isn't it to an infinity?", "session_id": 16453, "sequence_id": 1854, "annotations": []}
{"role": "student", "content": "Wait, is it", "session_id": 16453, "sequence_id": 1855, "annotations": []}
{"role": "volunteer", "content": "Not infinity cause you see to the right it's negative.", "session_id": 16453, "sequence_id": 1856, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 16453, "sequence_id": 1857, "annotations": []}
{"role": "volunteer", "content": "So it'd be that all the numbers leading up to 2 and then 2.", "session_id": 16453, "sequence_id": 1858, "annotations": []}
{"role": "volunteer", "content": "So what's all the numbers behind 2?", "session_id": 16453, "sequence_id": 1859, "annotations": []}
{"role": "student", "content": "Negative", "session_id": 16453, "sequence_id": 1860, "annotations": []}
{"role": "volunteer", "content": "negative", "session_id": 16453, "sequence_id": 1861, "annotations": []}
{"role": "student", "content": "00, behind that?", "session_id": 16453, "sequence_id": 1862, "annotations": []}
{"role": "volunteer", "content": "Uh-huh", "session_id": 16453, "sequence_id": 1863, "annotations": []}
{"role": "student", "content": "So like right here it's positive.", "session_id": 16453, "sequence_id": 1864, "annotations": []}
{"role": "volunteer", "content": "Yeah, cause it's positive from everything leading up to 2, you say, right?", "session_id": 16453, "sequence_id": 1865, "annotations": []}
{"role": "volunteer", "content": "So what would all those numbers be?", "session_id": 16453, "sequence_id": 1866, "annotations": []}
{"role": "volunteer", "content": "Any number lower than 2.", "session_id": 16453, "sequence_id": 1867, "annotations": []}
{"role": "student", "content": "negative", "session_id": 16453, "sequence_id": 1868, "annotations": []}
{"role": "student", "content": "No, positive", "session_id": 16453, "sequence_id": 1869, "annotations": []}
{"role": "volunteer", "content": "It would be negative infinity, right?", "session_id": 16453, "sequence_id": 1870, "annotations": []}
{"role": "student", "content": "What", "session_id": 16453, "sequence_id": 1871, "annotations": []}
{"role": "volunteer", "content": "Because all the numbers are lower than 2", "session_id": 16453, "sequence_id": 1872, "annotations": []}
{"role": "volunteer", "content": "You see, even if it's positive, the X value you're still plugging in is negative, right?", "session_id": 16453, "sequence_id": 1873, "annotations": []}
{"role": "student", "content": "Mhm.", "session_id": 16453, "sequence_id": 1874, "annotations": []}
{"role": "volunteer", "content": "So it would be", "session_id": 16453, "sequence_id": 1875, "annotations": []}
{"role": "volunteer", "content": "what's going up 22.", "session_id": 16453, "sequence_id": 1876, "annotations": []}
{"role": "student", "content": "So", "session_id": 16453, "sequence_id": 1877, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 16453, "sequence_id": 1878, "annotations": []}
{"role": "volunteer", "content": "Because if you plug in any number lower than 2, it would be positive, right?", "session_id": 16453, "sequence_id": 1879, "annotations": []}
{"role": "student", "content": "to do.", "session_id": 16453, "sequence_id": 1880, "annotations": []}
{"role": "volunteer", "content": "Sorry, repeat that", "session_id": 16453, "sequence_id": 1881, "annotations": []}
{"role": "student", "content": "greater than or equal to zero.", "session_id": 16453, "sequence_id": 1882, "annotations": []}
{"role": "volunteer", "content": "Uh-huh, that's what the equation says. So where is it showing that it's all greater than or equal to 0.", "session_id": 16453, "sequence_id": 1883, "annotations": []}
{"role": "volunteer", "content": "You see how it's positive, positive, positive, positive.", "session_id": 16453, "sequence_id": 1884, "annotations": []}
{"role": "volunteer", "content": "You see how it's positive all the way to the left.", "session_id": 16453, "sequence_id": 1885, "annotations": []}
{"role": "volunteer", "content": "That means that negative infinity.", "session_id": 16453, "sequence_id": 1886, "annotations": []}
{"role": "volunteer", "content": "up to up to 2", "session_id": 16453, "sequence_id": 1887, "annotations": []}
{"role": "volunteer", "content": "right?", "session_id": 16453, "sequence_id": 1888, "annotations": []}
{"role": "student", "content": "Mhm", "session_id": 16453, "sequence_id": 1889, "annotations": []}
{"role": "volunteer", "content": "Does that make sense", "session_id": 16453, "sequence_id": 1890, "annotations": []}
{"role": "volunteer", "content": "So what would that one be", "session_id": 16453, "sequence_id": 1891, "annotations": []}
{"role": "volunteer", "content": "Remember negative infinity has to be in a soft bracket.", "session_id": 16453, "sequence_id": 1892, "annotations": []}
{"role": "student", "content": "Oh", "session_id": 16453, "sequence_id": 1893, "annotations": []}
{"role": "volunteer", "content": "cause you can't reach infinity. And then 2 would be in a hard bracket because you can't equal zero.", "session_id": 16453, "sequence_id": 1894, "annotations": []}
{"role": "volunteer", "content": "Good", "session_id": 16453, "sequence_id": 1895, "annotations": []}
{"role": "student", "content": "OK", "session_id": 16453, "sequence_id": 1896, "annotations": []}
{"role": "volunteer", "content": "Now, I don't know if you did the top thing right. I was just helping you with the bottom one.", "session_id": 16453, "sequence_id": 1897, "annotations": []}
{"role": "volunteer", "content": "So I would check that again cause I'm not sure what you did, cause I'm not doing it.", "session_id": 16453, "sequence_id": 1898, "annotations": []}
{"role": "student", "content": "oh", "session_id": 16453, "sequence_id": 1899, "annotations": []}
{"role": "student", "content": "6", "session_id": 16453, "sequence_id": 1900, "annotations": []}
{"role": "student", "content": "positive.", "session_id": 16453, "sequence_id": 1901, "annotations": []}
{"role": "student", "content": "positive", "session_id": 16453, "sequence_id": 1902, "annotations": []}
{"role": "student", "content": "negative", "session_id": 16453, "sequence_id": 1903, "annotations": []}
{"role": "student", "content": "negative test positive.", "session_id": 16453, "sequence_id": 1904, "annotations": []}
{"role": "student", "content": "positive negative.", "session_id": 16453, "sequence_id": 1905, "annotations": []}
{"role": "student", "content": "times negative is positive.", "session_id": 16453, "sequence_id": 1906, "annotations": []}
{"role": "student", "content": "Uh", "session_id": 16453, "sequence_id": 1907, "annotations": []}
{"role": "student", "content": "one", "session_id": 16453, "sequence_id": 1908, "annotations": []}
{"role": "student", "content": "6", "session_id": 16453, "sequence_id": 1909, "annotations": []}
{"role": "student", "content": "positive", "session_id": 16453, "sequence_id": 1910, "annotations": []}
{"role": "volunteer", "content": "You're making sure to look at the squares and fours.", "session_id": 16453, "sequence_id": 1911, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 16453, "sequence_id": 1912, "annotations": []}
{"role": "student", "content": "this would be negative", "session_id": 16453, "sequence_id": 1913, "annotations": []}
{"role": "student", "content": "positive, positive, negative.", "session_id": 16453, "sequence_id": 1914, "annotations": []}
{"role": "volunteer", "content": "which would be positive, right", "session_id": 16453, "sequence_id": 1915, "annotations": []}
{"role": "student", "content": "Yeah, for all these numbers.", "session_id": 16453, "sequence_id": 1916, "annotations": []}
{"role": "student", "content": "Actually what I do", "session_id": 16453, "sequence_id": 1917, "annotations": []}
{"role": "student", "content": "So sorry", "session_id": 16453, "sequence_id": 1918, "annotations": []}
{"role": "student", "content": "actually.", "session_id": 16453, "sequence_id": 1919, "annotations": []}
{"role": "student", "content": "68 positive, positive, positive.", "session_id": 16453, "sequence_id": 1920, "annotations": []}
{"role": "student", "content": "Positive to positive response. So we, I just rechecked in and it says, and I think it's right", "session_id": 16453, "sequence_id": 1921, "annotations": []}
{"role": "volunteer", "content": "Oh, strange. Well, if you believe it's right, and then what is it you said it's negative infinity of the 2.", "session_id": 16453, "sequence_id": 1922, "annotations": []}
{"role": "student", "content": "Mhm", "session_id": 16453, "sequence_id": 1923, "annotations": []}
{"role": "volunteer", "content": "Is, is that 2? I can't see that number. Is that number", "session_id": 16453, "sequence_id": 1924, "annotations": []}
{"role": "student", "content": "Yeah, it's too", "session_id": 16453, "sequence_id": 1925, "annotations": []}
{"role": "volunteer", "content": "Well, then everything should be right.", "session_id": 16453, "sequence_id": 1926, "annotations": []}
{"role": "volunteer", "content": "So you want to submit the answer and see what you did wrong or", "session_id": 16453, "sequence_id": 1927, "annotations": []}
{"role": "volunteer", "content": "uh well.", "session_id": 16453, "sequence_id": 1928, "annotations": []}
{"role": "student", "content": "I'm just gonna restart", "session_id": 16453, "sequence_id": 1929, "annotations": []}
{"role": "volunteer", "content": "All right", "session_id": 16453, "sequence_id": 1930, "annotations": []}
{"role": "volunteer", "content": "So you got 2, right?", "session_id": 16453, "sequence_id": 1931, "annotations": []}
{"role": "student", "content": "Yeah, yeah, that's super one.", "session_id": 16453, "sequence_id": 1932, "annotations": []}
{"role": "volunteer", "content": "Go ahead. So 2 for the first one and then it's", "session_id": 16453, "sequence_id": 1933, "annotations": []}
{"role": "volunteer", "content": "8/5, right?", "session_id": 16453, "sequence_id": 1934, "annotations": []}
{"role": "student", "content": "Yeah.", "session_id": 16453, "sequence_id": 1935, "annotations": []}
{"role": "volunteer", "content": "So -8/5 is", "session_id": 16453, "sequence_id": 1936, "annotations": []}
{"role": "student", "content": "negative 1.6.", "session_id": 16453, "sequence_id": 1937, "annotations": []}
{"role": "volunteer", "content": "slightly more than -1.", "session_id": 16453, "sequence_id": 1938, "annotations": []}
{"role": "student", "content": "Oh, I think I got it wrong like right here, -1.6.", "session_id": 16453, "sequence_id": 1939, "annotations": []}
{"role": "volunteer", "content": "Is it? I don't, I don't know.", "session_id": 16453, "sequence_id": 1940, "annotations": []}
{"role": "student", "content": "Yeah, it is", "session_id": 16453, "sequence_id": 1941, "annotations": []}
{"role": "volunteer", "content": "All right, so do that", "session_id": 16453, "sequence_id": 1942, "annotations": []}
{"role": "student", "content": "It's been in -38. Well, no, it was 3 days.", "session_id": 16453, "sequence_id": 1943, "annotations": []}
{"role": "student", "content": "Yep", "session_id": 16453, "sequence_id": 1944, "annotations": []}
{"role": "volunteer", "content": "Yup, 386, right", "session_id": 16453, "sequence_id": 1945, "annotations": []}
{"role": "student", "content": "do.", "session_id": 16453, "sequence_id": 1946, "annotations": []}
{"role": "volunteer", "content": "That's just slightly less than 1/2.", "session_id": 16453, "sequence_id": 1947, "annotations": []}
{"role": "student", "content": "0.6.", "session_id": 16453, "sequence_id": 1948, "annotations": []}
{"role": "volunteer", "content": "And then the last one is just -9, right?", "session_id": 16453, "sequence_id": 1949, "annotations": []}
{"role": "student", "content": "Yeah.", "session_id": 16453, "sequence_id": 1950, "annotations": []}
{"role": "volunteer", "content": "And so,", "session_id": 16453, "sequence_id": 1951, "annotations": []}
{"role": "volunteer", "content": "but let's just look at these one more time. So if everything's", "session_id": 16453, "sequence_id": 1952, "annotations": []}
{"role": "volunteer", "content": "negative, right", "session_id": 16453, "sequence_id": 1953, "annotations": []}
{"role": "student", "content": "Mhm.", "session_id": 16453, "sequence_id": 1954, "annotations": []}
{"role": "volunteer", "content": "So that would be negative.", "session_id": 16453, "sequence_id": 1955, "annotations": []}
{"role": "volunteer", "content": "negative, which is, sorry, negative, positive.", "session_id": 16453, "sequence_id": 1956, "annotations": []}
{"role": "student", "content": "positive", "session_id": 16453, "sequence_id": 1957, "annotations": []}
{"role": "volunteer", "content": "positive", "session_id": 16453, "sequence_id": 1958, "annotations": []}
{"role": "student", "content": "negative", "session_id": 16453, "sequence_id": 1959, "annotations": []}
{"role": "volunteer", "content": "Are you sure that one's negative", "session_id": 16453, "sequence_id": 1960, "annotations": []}
{"role": "student", "content": "but it's 3 right", "session_id": 16453, "sequence_id": 1961, "annotations": []}
{"role": "volunteer", "content": "That's a 3, right", "session_id": 16453, "sequence_id": 1962, "annotations": []}
{"role": "student", "content": "Yeah, so it's negative", "session_id": 16453, "sequence_id": 1963, "annotations": []}
{"role": "volunteer", "content": "Are you sure? that's a negative X, isn't it?", "session_id": 16453, "sequence_id": 1964, "annotations": []}
{"role": "volunteer", "content": "So plug in -10", "session_id": 16453, "sequence_id": 1965, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 16453, "sequence_id": 1966, "annotations": []}
{"role": "student", "content": "0", "session_id": 16453, "sequence_id": 1967, "annotations": []}
{"role": "volunteer", "content": "What's negative, -10 minus 9.", "session_id": 16453, "sequence_id": 1968, "annotations": []}
{"role": "student", "content": "negative blood count", "session_id": 16453, "sequence_id": 1969, "annotations": []}
{"role": "student", "content": "1 cube is", "session_id": 16453, "sequence_id": 1970, "annotations": []}
{"role": "student", "content": "-6. Yeah, so it's negative.", "session_id": 16453, "sequence_id": 1971, "annotations": []}
{"role": "volunteer", "content": "Are you sure? Look, so you're, it's -9, right? Is our 0?", "session_id": 16453, "sequence_id": 1972, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 16453, "sequence_id": 1973, "annotations": []}
{"role": "volunteer", "content": "So plug in -10", "session_id": 16453, "sequence_id": 1974, "annotations": []}
{"role": "volunteer", "content": "for the last one", "session_id": 16453, "sequence_id": 1975, "annotations": []}
{"role": "student", "content": "-10? OK. So negative 10", "session_id": 16453, "sequence_id": 1976, "annotations": []}
{"role": "student", "content": "-9", "session_id": 16453, "sequence_id": 1977, "annotations": []}
{"role": "student", "content": "2", "session_id": 16453, "sequence_id": 1978, "annotations": []}
{"role": "student", "content": "6859.", "session_id": 16453, "sequence_id": 1979, "annotations": []}
{"role": "volunteer", "content": "No, because that's a negative x, isn't it?", "session_id": 16453, "sequence_id": 1980, "annotations": []}
{"role": "student", "content": "Yeah, it is", "session_id": 16453, "sequence_id": 1981, "annotations": []}
{"role": "volunteer", "content": "But if we're plugging in -10, what's -1 times -10.", "session_id": 16453, "sequence_id": 1982, "annotations": []}
{"role": "student", "content": "Oh", "session_id": 16453, "sequence_id": 1983, "annotations": []}
{"role": "volunteer", "content": "There we go.", "session_id": 16453, "sequence_id": 1984, "annotations": []}
{"role": "student", "content": "Oh, OK", "session_id": 16453, "sequence_id": 1985, "annotations": []}
{"role": "student", "content": "So", "session_id": 16453, "sequence_id": 1986, "annotations": []}
{"role": "student", "content": "the answer will be one.", "session_id": 16453, "sequence_id": 1987, "annotations": []}
{"role": "student", "content": "So this will be positive", "session_id": 16453, "sequence_id": 1988, "annotations": []}
{"role": "volunteer", "content": "Yeah, so that would mean it's", "session_id": 16453, "sequence_id": 1989, "annotations": []}
{"role": "volunteer", "content": "negative. Good", "session_id": 16453, "sequence_id": 1990, "annotations": []}
{"role": "volunteer", "content": "And so are you confident in everything else?", "session_id": 16453, "sequence_id": 1991, "annotations": []}
{"role": "student", "content": "No", "session_id": 16453, "sequence_id": 1992, "annotations": []}
{"role": "volunteer", "content": "All right, so I'll just check again.", "session_id": 16453, "sequence_id": 1993, "annotations": []}
{"role": "student", "content": "OK", "session_id": 16453, "sequence_id": 1994, "annotations": []}
{"role": "student", "content": "negative too", "session_id": 16453, "sequence_id": 1995, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 16453, "sequence_id": 1996, "annotations": []}
{"role": "student", "content": "then", "session_id": 16453, "sequence_id": 1997, "annotations": []}
{"role": "student", "content": "negative, positive, positive.", "session_id": 16453, "sequence_id": 1998, "annotations": []}
{"role": "student", "content": "-2.", "session_id": 16453, "sequence_id": 1999, "annotations": []}
{"role": "student", "content": "neg cause this is called.", "session_id": 16453, "sequence_id": 2000, "annotations": []}
{"role": "student", "content": "a little.", "session_id": 16453, "sequence_id": 2001, "annotations": []}
{"role": "student", "content": "a little", "session_id": 16453, "sequence_id": 2002, "annotations": []}
{"role": "student", "content": "pain", "session_id": 16453, "sequence_id": 2003, "annotations": []}
{"role": "student", "content": "one", "session_id": 16453, "sequence_id": 2004, "annotations": []}
{"role": "student", "content": "the", "session_id": 16453, "sequence_id": 2005, "annotations": []}
{"role": "student", "content": "3", "session_id": 16453, "sequence_id": 2006, "annotations": []}
{"role": "volunteer", "content": "So we're good for everything else", "session_id": 16453, "sequence_id": 2007, "annotations": []}
{"role": "student", "content": "So the and change", "session_id": 16453, "sequence_id": 2008, "annotations": []}
{"role": "volunteer", "content": "All right. And so what would that be if it's greater than or equal to 0.", "session_id": 16453, "sequence_id": 2009, "annotations": []}
{"role": "student", "content": "will", "session_id": 16453, "sequence_id": 2010, "annotations": []}
{"role": "volunteer", "content": "So it equals 0 at -9 and was that?", "session_id": 16453, "sequence_id": 2011, "annotations": []}
{"role": "student", "content": "worse.", "session_id": 16453, "sequence_id": 2012, "annotations": []}
{"role": "volunteer", "content": "2", "session_id": 16453, "sequence_id": 2013, "annotations": []}
{"role": "student", "content": "too", "session_id": 16453, "sequence_id": 2014, "annotations": []}
{"role": "volunteer", "content": "OK. So it would equal 0 at -2 and and negative not sorry at 2 and 9, right?", "session_id": 16453, "sequence_id": 2015, "annotations": []}
{"role": "volunteer", "content": "So would we, which brackets would we use or which parentheses would we use, hard or soft?", "session_id": 16453, "sequence_id": 2016, "annotations": []}
{"role": "volunteer", "content": "if it equals zero at 9 and 2.", "session_id": 16453, "sequence_id": 2017, "annotations": []}
{"role": "student", "content": "6", "session_id": 16453, "sequence_id": 2018, "annotations": []}
{"role": "student", "content": "parenthesis, right", "session_id": 16453, "sequence_id": 2019, "annotations": []}
{"role": "volunteer", "content": "Would it? Cause parentheses mean we don't include them.", "session_id": 16453, "sequence_id": 2020, "annotations": []}
{"role": "student", "content": "So there's one you have to sign.", "session_id": 16453, "sequence_id": 2021, "annotations": []}
{"role": "volunteer", "content": "But it's greater than or equal to 0, right?", "session_id": 16453, "sequence_id": 2022, "annotations": []}
{"role": "student", "content": "Yeah.", "session_id": 16453, "sequence_id": 2023, "annotations": []}
{"role": "volunteer", "content": "And so would we include or not include 9 and 2.", "session_id": 16453, "sequence_id": 2024, "annotations": []}
{"role": "volunteer", "content": "Sorry, repeat that", "session_id": 16453, "sequence_id": 2025, "annotations": []}
{"role": "volunteer", "content": "If you're saying things you're not", "session_id": 16453, "sequence_id": 2026, "annotations": []}
{"role": "student", "content": "Mhm.", "session_id": 16453, "sequence_id": 2027, "annotations": []}
{"role": "volunteer", "content": "or your microphone's really muffled again.", "session_id": 16453, "sequence_id": 2028, "annotations": []}
{"role": "student", "content": "Hello", "session_id": 16453, "sequence_id": 2029, "annotations": []}
{"role": "volunteer", "content": "Hello, I can hear you now", "session_id": 16453, "sequence_id": 2030, "annotations": []}
{"role": "volunteer", "content": "So, it, are we including or not including 9 and 2?", "session_id": 16453, "sequence_id": 2031, "annotations": []}
{"role": "volunteer", "content": "I can hear you", "session_id": 16453, "sequence_id": 2032, "annotations": []}
{"role": "volunteer", "content": "Oh, you want to.", "session_id": 16453, "sequence_id": 2033, "annotations": []}
{"role": "volunteer", "content": "Oh", "session_id": 16453, "sequence_id": 2034, "annotations": []}
{"role": "volunteer", "content": "Yeah.", "session_id": 16453, "sequence_id": 2035, "annotations": []}
{"role": "student", "content": "OK, can you hear me now?", "session_id": 16453, "sequence_id": 2036, "annotations": []}
{"role": "volunteer", "content": "Yes, I can hear you", "session_id": 16453, "sequence_id": 2037, "annotations": []}
{"role": "student", "content": "OK", "session_id": 16453, "sequence_id": 2038, "annotations": []}
{"role": "volunteer", "content": "So would we include or not include -2 and 9.", "session_id": 16453, "sequence_id": 2039, "annotations": []}
{"role": "student", "content": "We would include", "session_id": 16453, "sequence_id": 2040, "annotations": []}
{"role": "student", "content": "hello", "session_id": 16453, "sequence_id": 2041, "annotations": []}
{"role": "student", "content": "hello", "session_id": 16453, "sequence_id": 2042, "annotations": []}
{"role": "student", "content": "This is your microzole", "session_id": 16453, "sequence_id": 2043, "annotations": []}
{"role": "volunteer", "content": "I was sorry I was, I was muted.", "session_id": 16453, "sequence_id": 2044, "annotations": []}
{"role": "student", "content": "OK", "session_id": 16453, "sequence_id": 2045, "annotations": []}
{"role": "volunteer", "content": "So if we would include them, what, what, um, parentheses would we use?", "session_id": 16453, "sequence_id": 2046, "annotations": []}
{"role": "volunteer", "content": "Hard or small", "session_id": 16453, "sequence_id": 2047, "annotations": []}
{"role": "student", "content": "Oh", "session_id": 16453, "sequence_id": 2048, "annotations": []}
{"role": "student", "content": "we would use the brake.", "session_id": 16453, "sequence_id": 2049, "annotations": []}
{"role": "volunteer", "content": "Yep", "session_id": 16453, "sequence_id": 2050, "annotations": []}
{"role": "volunteer", "content": "And so which one would we do first if we're going from least to most", "session_id": 16453, "sequence_id": 2051, "annotations": []}
{"role": "student", "content": "Well, what happens to the -10?", "session_id": 16453, "sequence_id": 2052, "annotations": []}
{"role": "student", "content": "I mean, what most of this", "session_id": 16453, "sequence_id": 2053, "annotations": []}
{"role": "volunteer", "content": "Well, it's negative at -10, isn't it?", "session_id": 16453, "sequence_id": 2054, "annotations": []}
{"role": "student", "content": "Yeah, it is", "session_id": 16453, "sequence_id": 2055, "annotations": []}
{"role": "volunteer", "content": "So we wouldn't include it", "session_id": 16453, "sequence_id": 2056, "annotations": []}
{"role": "student", "content": "The equation", "session_id": 16453, "sequence_id": 2057, "annotations": []}
{"role": "student", "content": "Any more questions", "session_id": 16453, "sequence_id": 2058, "annotations": []}
{"role": "volunteer", "content": "So it would just be positive from 9 to 2, wouldn't it?", "session_id": 16453, "sequence_id": 2059, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 16453, "sequence_id": 2060, "annotations": []}
{"role": "volunteer", "content": "All right", "session_id": 16453, "sequence_id": 2061, "annotations": []}
{"role": "volunteer", "content": "So that would mean it would be brackets", "session_id": 16453, "sequence_id": 2062, "annotations": []}
{"role": "student", "content": "And", "session_id": 16453, "sequence_id": 2063, "annotations": []}
{"role": "volunteer", "content": "So can you do double brackets", "session_id": 16453, "sequence_id": 2064, "annotations": []}
{"role": "volunteer", "content": "I can't see if you're doing double res or not.", "session_id": 16453, "sequence_id": 2065, "annotations": []}
{"role": "student", "content": "what you can see, I can share my screen.", "session_id": 16453, "sequence_id": 2066, "annotations": []}
{"role": "volunteer", "content": "I can see", "session_id": 16453, "sequence_id": 2067, "annotations": []}
{"role": "volunteer", "content": "but I just", "session_id": 16453, "sequence_id": 2068, "annotations": []}
{"role": "volunteer", "content": "do double brackets for me, please.", "session_id": 16453, "sequence_id": 2069, "annotations": []}
{"role": "student", "content": "I do.", "session_id": 16453, "sequence_id": 2070, "annotations": []}
{"role": "student", "content": "Do you see, um, it's show, it's showing on my screen. It's lagging.", "session_id": 16453, "sequence_id": 2071, "annotations": []}
{"role": "volunteer", "content": "Uh, maybe it's just slow. All right, well, I believe you. All right, so, and then what would the numbers be inside of them?", "session_id": 16453, "sequence_id": 2072, "annotations": []}
{"role": "student", "content": "92", "session_id": 16453, "sequence_id": 2073, "annotations": []}
{"role": "volunteer", "content": "Yep", "session_id": 16453, "sequence_id": 2074, "annotations": []}
{"role": "student", "content": "Can you see my screen", "session_id": 16453, "sequence_id": 2075, "annotations": []}
{"role": "volunteer", "content": "I think it's frozen for me.", "session_id": 16453, "sequence_id": 2076, "annotations": []}
{"role": "student", "content": "I try refreshing because it works a lot.", "session_id": 16453, "sequence_id": 2077, "annotations": []}
{"role": "volunteer", "content": "All right.", "session_id": 16453, "sequence_id": 2078, "annotations": []}
{"role": "student", "content": "Hello", "session_id": 16453, "sequence_id": 2079, "annotations": []}
{"role": "student", "content": "Are you back", "session_id": 16453, "sequence_id": 2080, "annotations": []}
{"role": "volunteer", "content": "Hello, can you hear me?", "session_id": 16453, "sequence_id": 2081, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 16453, "sequence_id": 2082, "annotations": []}
{"role": "volunteer", "content": "All right, I can hear you", "session_id": 16453, "sequence_id": 2083, "annotations": []}
{"role": "volunteer", "content": "All right, I see it now", "session_id": 16453, "sequence_id": 2084, "annotations": []}
{"role": "student", "content": "Yeah.", "session_id": 16453, "sequence_id": 2085, "annotations": []}
{"role": "volunteer", "content": "So is this you want to submit?", "session_id": 16453, "sequence_id": 2086, "annotations": []}
{"role": "student", "content": "Oh, yes.", "session_id": 16453, "sequence_id": 2087, "annotations": []}
{"role": "volunteer", "content": "Good job", "session_id": 16453, "sequence_id": 2088, "annotations": []}
{"role": "student", "content": "This was so much work.", "session_id": 16453, "sequence_id": 2089, "annotations": []}
{"role": "volunteer", "content": "Yes, it is", "session_id": 16453, "sequence_id": 2090, "annotations": []}
{"role": "student", "content": "Did you take AP Calculus", "session_id": 16453, "sequence_id": 2091, "annotations": []}
{"role": "volunteer", "content": "Uh-huh", "session_id": 16453, "sequence_id": 2092, "annotations": []}
{"role": "student", "content": "Was it easy", "session_id": 16453, "sequence_id": 2093, "annotations": []}
{"role": "volunteer", "content": "Yeah, I did it about 2 years ago.", "session_id": 16453, "sequence_id": 2094, "annotations": []}
{"role": "student", "content": "You got a 5", "session_id": 16453, "sequence_id": 2095, "annotations": []}
{"role": "volunteer", "content": "Ben? Yes, it was actually the first year they did that test, so it was pretty easy. Or so they probably um graded it easily.", "session_id": 16453, "sequence_id": 2096, "annotations": [{"pii_type": "PERSON", "surrogate": "Ben", "start": 0, "end": 3}]}
{"role": "volunteer", "content": "but I did get a 5 on that exam.", "session_id": 16453, "sequence_id": 2097, "annotations": []}
{"role": "student", "content": "You", "session_id": 16453, "sequence_id": 2098, "annotations": []}
{"role": "volunteer", "content": "That was 2 years ago. Now I'm in college.", "session_id": 16453, "sequence_id": 2099, "annotations": [{"pii_type": "LOCATION", "surrogate": "college", "start": 33, "end": 40}]}
{"role": "volunteer", "content": "All right, so", "session_id": 16453, "sequence_id": 2100, "annotations": []}
{"role": "volunteer", "content": "determine whether the function", "session_id": 16453, "sequence_id": 2101, "annotations": []}
{"role": "volunteer", "content": "is even, odd, or neither. You know how to do this, right?", "session_id": 16453, "sequence_id": 2102, "annotations": []}
{"role": "volunteer", "content": "Your mic is off, by the way", "session_id": 16453, "sequence_id": 2103, "annotations": []}
{"role": "student", "content": "Do we work on this earlier", "session_id": 16453, "sequence_id": 2104, "annotations": []}
{"role": "volunteer", "content": "Oh, I can hear you", "session_id": 16453, "sequence_id": 2105, "annotations": []}
{"role": "student", "content": "Hm", "session_id": 16453, "sequence_id": 2106, "annotations": []}
{"role": "volunteer", "content": "I said I can hear you now. All right. So, is this function even, odd, or neither? Do you know how to do this?", "session_id": 16453, "sequence_id": 2107, "annotations": []}
{"role": "student", "content": "No.", "session_id": 16453, "sequence_id": 2108, "annotations": []}
{"role": "student", "content": "of", "session_id": 16453, "sequence_id": 2109, "annotations": []}
{"role": "volunteer", "content": "All right. So, to determine whether a function is even or odd.", "session_id": 16453, "sequence_id": 2110, "annotations": []}
{"role": "volunteer", "content": "So you see how the signs of them are negative, negative and positive.", "session_id": 16453, "sequence_id": 2111, "annotations": []}
{"role": "student", "content": "Yeah.", "session_id": 16453, "sequence_id": 2112, "annotations": []}
{"role": "volunteer", "content": "All right. So if it's an odd function, if you plug in", "session_id": 16453, "sequence_id": 2113, "annotations": []}
{"role": "volunteer", "content": "X, all of the values should be the same.", "session_id": 16453, "sequence_id": 2114, "annotations": []}
{"role": "volunteer", "content": "And if you plug in negative X,", "session_id": 16453, "sequence_id": 2115, "annotations": []}
{"role": "volunteer", "content": "then all of the values should change.", "session_id": 16453, "sequence_id": 2116, "annotations": []}
{"role": "student", "content": "What do you mean plug in", "session_id": 16453, "sequence_id": 2117, "annotations": []}
{"role": "volunteer", "content": "Like instead of X, uh, let's just go with -1 or let's just go with 1 because it's easier, right?", "session_id": 16453, "sequence_id": 2118, "annotations": []}
{"role": "student", "content": "Well, if you, if you plug in a positive number and then the negative.", "session_id": 16453, "sequence_id": 2119, "annotations": []}
{"role": "volunteer", "content": "But yeah, but like basically like split them up. So if you do", "session_id": 16453, "sequence_id": 2120, "annotations": []}
{"role": "volunteer", "content": "one here, it would just still be -9 cubed minus 5 plus", "session_id": 16453, "sequence_id": 2121, "annotations": []}
{"role": "volunteer", "content": "5, right", "session_id": 16453, "sequence_id": 2122, "annotations": []}
{"role": "volunteer", "content": "It would still be negative, negative, positive.", "session_id": 16453, "sequence_id": 2123, "annotations": []}
{"role": "volunteer", "content": "If we plug in a negative X", "session_id": 16453, "sequence_id": 2124, "annotations": []}
{"role": "volunteer", "content": "or sorry, if we plug in a positive X.", "session_id": 16453, "sequence_id": 2125, "annotations": []}
{"role": "student", "content": "um", "session_id": 16453, "sequence_id": 2126, "annotations": []}
{"role": "volunteer", "content": "because it would be the same function, right", "session_id": 16453, "sequence_id": 2127, "annotations": []}
{"role": "student", "content": "yeah, positive, negative", "session_id": 16453, "sequence_id": 2128, "annotations": []}
{"role": "volunteer", "content": "All right. And now if we plug in a and so if it's odd, if we plug in a negative X, every value should change sizes.", "session_id": 16453, "sequence_id": 2129, "annotations": []}
{"role": "student", "content": "so neg", "session_id": 16453, "sequence_id": 2130, "annotations": []}
{"role": "volunteer", "content": "So instead of positive X, it's a negative X. So it would be 9 X cubed minus", "session_id": 16453, "sequence_id": 2131, "annotations": []}
{"role": "volunteer", "content": "5 to the X, which is, which would be plus 5 and then plus 5 to the negative x to the 5, which would be minus X, right?", "session_id": 16453, "sequence_id": 2132, "annotations": []}
{"role": "student", "content": "probably be", "session_id": 16453, "sequence_id": 2133, "annotations": []}
{"role": "volunteer", "content": "So you see how every single sign changes.", "session_id": 16453, "sequence_id": 2134, "annotations": []}
{"role": "student", "content": "Yeah.", "session_id": 16453, "sequence_id": 2135, "annotations": []}
{"role": "volunteer", "content": "So if we plug in the normal X, everything should stay the same. If we plug in negative X every sign changes.", "session_id": 16453, "sequence_id": 2136, "annotations": []}
{"role": "volunteer", "content": "Does that make sense", "session_id": 16453, "sequence_id": 2137, "annotations": []}
{"role": "student", "content": "it", "session_id": 16453, "sequence_id": 2138, "annotations": []}
{"role": "student", "content": "I know", "session_id": 16453, "sequence_id": 2139, "annotations": []}
{"role": "volunteer", "content": "All right, so this, so that means that this function would be odd, right?", "session_id": 16453, "sequence_id": 2140, "annotations": []}
{"role": "student", "content": "because everything changed", "session_id": 16453, "sequence_id": 2141, "annotations": []}
{"role": "volunteer", "content": "Yeah, because everything changed", "session_id": 16453, "sequence_id": 2142, "annotations": []}
{"role": "student", "content": "Oh.", "session_id": 16453, "sequence_id": 2143, "annotations": []}
{"role": "volunteer", "content": "OK. And now if it's even, if you plug in a negative, everything should stay the same.", "session_id": 16453, "sequence_id": 2144, "annotations": []}
{"role": "volunteer", "content": "right?", "session_id": 16453, "sequence_id": 2145, "annotations": []}
{"role": "volunteer", "content": "No, it wouldn't be odd, because everything would stay the same, right?", "session_id": 16453, "sequence_id": 2146, "annotations": []}
{"role": "volunteer", "content": "If we plug in a negative, it's still going to be negative t, cause it's", "session_id": 16453, "sequence_id": 2147, "annotations": []}
{"role": "volunteer", "content": "basically look at the degrees", "session_id": 16453, "sequence_id": 2148, "annotations": []}
{"role": "volunteer", "content": "You see the degrees", "session_id": 16453, "sequence_id": 2149, "annotations": []}
{"role": "volunteer", "content": "Your mic is off, by the way", "session_id": 16453, "sequence_id": 2150, "annotations": []}
{"role": "student", "content": "Yes, I see that.", "session_id": 16453, "sequence_id": 2151, "annotations": []}
{"role": "volunteer", "content": "All right. So if it's all even, then, it should be", "session_id": 16453, "sequence_id": 2152, "annotations": []}
{"role": "volunteer", "content": "even if it's like 13, and 5, it should be odd. And then if it's a combination of the two, it's neither", "session_id": 16453, "sequence_id": 2153, "annotations": []}
{"role": "volunteer", "content": "That's a trick", "session_id": 16453, "sequence_id": 2154, "annotations": []}
{"role": "student", "content": "Oh", "session_id": 16453, "sequence_id": 2155, "annotations": []}
{"role": "student", "content": "donate", "session_id": 16453, "sequence_id": 2156, "annotations": []}
{"role": "volunteer", "content": "So go to the next problem for me.", "session_id": 16453, "sequence_id": 2157, "annotations": []}
{"role": "volunteer", "content": "You're confused", "session_id": 16453, "sequence_id": 2158, "annotations": []}
{"role": "student", "content": "which, yeah, cause how is this event?", "session_id": 16453, "sequence_id": 2159, "annotations": []}
{"role": "volunteer", "content": "Here, I'll show you. Go to the next problem.", "session_id": 16453, "sequence_id": 2160, "annotations": []}
{"role": "volunteer", "content": "All right, so you see how it's -4 -4 X cubed minus 2.", "session_id": 16453, "sequence_id": 2161, "annotations": []}
{"role": "student", "content": "-4", "session_id": 16453, "sequence_id": 2162, "annotations": []}
{"role": "student", "content": "It's positive 4", "session_id": 16453, "sequence_id": 2163, "annotations": []}
{"role": "volunteer", "content": "You notice how there's a degree of 4 and 3.", "session_id": 16453, "sequence_id": 2164, "annotations": []}
{"role": "volunteer", "content": "Yes, but you see how it's 4 and 3 and 2?", "session_id": 16453, "sequence_id": 2165, "annotations": []}
{"role": "student", "content": "Yeah.", "session_id": 16453, "sequence_id": 2166, "annotations": []}
{"role": "volunteer", "content": "So that means it's going to be neither, because", "session_id": 16453, "sequence_id": 2167, "annotations": []}
{"role": "volunteer", "content": "if it's even then every exponent would be even.", "session_id": 16453, "sequence_id": 2168, "annotations": []}
{"role": "volunteer", "content": "Correct.", "session_id": 16453, "sequence_id": 2169, "annotations": []}
{"role": "student", "content": "Mm.", "session_id": 16453, "sequence_id": 2170, "annotations": []}
{"role": "volunteer", "content": "Does that make sense?", "session_id": 16453, "sequence_id": 2171, "annotations": []}
{"role": "student", "content": "Oh yeah, but it's a mix of both.", "session_id": 16453, "sequence_id": 2172, "annotations": []}
{"role": "volunteer", "content": "And then if it's odd every exponent would be odd.", "session_id": 16453, "sequence_id": 2173, "annotations": []}
{"role": "volunteer", "content": "But because that has both, it would be neither.", "session_id": 16453, "sequence_id": 2174, "annotations": []}
{"role": "volunteer", "content": "And so look at this one. If it's negative 4 and 6.", "session_id": 16453, "sequence_id": 2175, "annotations": []}
{"role": "volunteer", "content": "Yup, see", "session_id": 16453, "sequence_id": 2176, "annotations": []}
{"role": "volunteer", "content": "Um, what are the options it gives you?", "session_id": 16453, "sequence_id": 2177, "annotations": []}
{"role": "student", "content": "I click the options, I think you can't see it on his face. I'm gonna say.", "session_id": 16453, "sequence_id": 2178, "annotations": []}
{"role": "volunteer", "content": "Yeah, I can't see your options.", "session_id": 16453, "sequence_id": 2179, "annotations": []}
{"role": "student", "content": "The first one is 23, and 4.", "session_id": 16453, "sequence_id": 2180, "annotations": []}
{"role": "volunteer", "content": "Mhm", "session_id": 16453, "sequence_id": 2181, "annotations": []}
{"role": "student", "content": "And the second one is", "session_id": 16453, "sequence_id": 2182, "annotations": []}
{"role": "student", "content": "first differences in Y are constant second differences in white or across 3 differences in right across it.", "session_id": 16453, "sequence_id": 2183, "annotations": []}
{"role": "student", "content": "4th differences in y are constant.", "session_id": 16453, "sequence_id": 2184, "annotations": []}
{"role": "volunteer", "content": "OK. So the function must be a degree of degree blank because over equal length x intervals.", "session_id": 16453, "sequence_id": 2185, "annotations": []}
{"role": "volunteer", "content": "I'm gonna be real, don't know this.", "session_id": 16453, "sequence_id": 2186, "annotations": []}
{"role": "student", "content": "Let me see this", "session_id": 16453, "sequence_id": 2187, "annotations": []}
{"role": "student", "content": "OK", "session_id": 16453, "sequence_id": 2188, "annotations": []}
{"role": "volunteer", "content": "So I will, I'm gonna be right back. I'm gonna use the bathroom. Well, you figured that out because I have no clue.", "session_id": 16453, "sequence_id": 2189, "annotations": []}
{"role": "student", "content": "It is negative 15.", "session_id": 16453, "sequence_id": 2190, "annotations": []}
{"role": "student", "content": "and 18.", "session_id": 16453, "sequence_id": 2191, "annotations": []}
{"role": "student", "content": "minus", "session_id": 16453, "sequence_id": 2192, "annotations": []}
{"role": "student", "content": "27", "session_id": 16453, "sequence_id": 2193, "annotations": []}
{"role": "student", "content": "I it is 2", "session_id": 16453, "sequence_id": 2194, "annotations": []}
{"role": "student", "content": "1565.", "session_id": 16453, "sequence_id": 2195, "annotations": []}
{"role": "student", "content": "47 minus 222.", "session_id": 16453, "sequence_id": 2196, "annotations": []}
{"role": "student", "content": "-175.", "session_id": 16453, "sequence_id": 2197, "annotations": []}
{"role": "student", "content": "222-591.", "session_id": 16453, "sequence_id": 2198, "annotations": []}
{"role": "student", "content": "469.", "session_id": 16453, "sequence_id": 2199, "annotations": []}
{"role": "student", "content": "1", "session_id": 16453, "sequence_id": 2200, "annotations": []}
{"role": "volunteer", "content": "Hello, I'm sorry about that.", "session_id": 16453, "sequence_id": 2201, "annotations": []}
{"role": "student", "content": "Yeah, it's OK", "session_id": 16453, "sequence_id": 2202, "annotations": []}
{"role": "volunteer", "content": "I, uh, still have no clue what's happened though. So, did you figure it out?", "session_id": 16453, "sequence_id": 2203, "annotations": []}
{"role": "student", "content": "OK, I looked at the example, kind of makes sense.", "session_id": 16453, "sequence_id": 2204, "annotations": []}
{"role": "volunteer", "content": "All right.", "session_id": 16453, "sequence_id": 2205, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 16453, "sequence_id": 2206, "annotations": []}
{"role": "student", "content": "So I'm just trying to get out and I'm gonna see if I got it.", "session_id": 16453, "sequence_id": 2207, "annotations": []}
{"role": "student", "content": "It's, it's OK", "session_id": 16453, "sequence_id": 2208, "annotations": []}
{"role": "volunteer", "content": "OK, good. Sorry, I can't help you with this one, or I, I just", "session_id": 16453, "sequence_id": 2209, "annotations": []}
{"role": "volunteer", "content": "never learned it", "session_id": 16453, "sequence_id": 2210, "annotations": []}
{"role": "student", "content": "Yeah, it's fine", "session_id": 16453, "sequence_id": 2211, "annotations": []}
{"role": "student", "content": "65", "session_id": 16453, "sequence_id": 2212, "annotations": []}
{"role": "student", "content": "That's", "session_id": 16453, "sequence_id": 2213, "annotations": []}
{"role": "volunteer", "content": "Oh, I OK, I think I remember how to do this a little bit.", "session_id": 16453, "sequence_id": 2214, "annotations": []}
{"role": "volunteer", "content": "OK, yeah, I remember how to do this now.", "session_id": 16453, "sequence_id": 2215, "annotations": []}
{"role": "student", "content": "that", "session_id": 16453, "sequence_id": 2216, "annotations": []}
{"role": "volunteer", "content": "All right. Um, can I see the original problem?", "session_id": 16453, "sequence_id": 2217, "annotations": []}
{"role": "volunteer", "content": "So they're going by ones.", "session_id": 16453, "sequence_id": 2218, "annotations": []}
{"role": "volunteer", "content": "and then it's", "session_id": 16453, "sequence_id": 2219, "annotations": []}
{"role": "volunteer", "content": "plus", "session_id": 16453, "sequence_id": 2220, "annotations": []}
{"role": "volunteer", "content": "let's 33 minus 18.", "session_id": 16453, "sequence_id": 2221, "annotations": []}
{"role": "volunteer", "content": "or", "session_id": 16453, "sequence_id": 2222, "annotations": []}
{"role": "student", "content": "33 minus 8C. I won't be the 15.", "session_id": 16453, "sequence_id": 2223, "annotations": []}
{"role": "volunteer", "content": "what's 33 minus 1815?", "session_id": 16453, "sequence_id": 2224, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 16453, "sequence_id": 2225, "annotations": []}
{"role": "volunteer", "content": "OK, so that'd be", "session_id": 16453, "sequence_id": 2226, "annotations": []}
{"role": "volunteer", "content": "plus 15 and that one's plus.", "session_id": 16453, "sequence_id": 2227, "annotations": []}
{"role": "student", "content": "65", "session_id": 16453, "sequence_id": 2228, "annotations": []}
{"role": "volunteer", "content": "65. Yeah, and then you'd do that again.", "session_id": 16453, "sequence_id": 2229, "annotations": []}
{"role": "volunteer", "content": "And then you do it again until it equals 0.", "session_id": 16453, "sequence_id": 2230, "annotations": []}
{"role": "volunteer", "content": "So I think that would be a degree of like 4, probably.", "session_id": 16453, "sequence_id": 2231, "annotations": []}
{"role": "volunteer", "content": "because over", "session_id": 16453, "sequence_id": 2232, "annotations": []}
{"role": "volunteer", "content": "intervals of whatever, it would equal 0.", "session_id": 16453, "sequence_id": 2233, "annotations": []}
{"role": "student", "content": "or so fast", "session_id": 16453, "sequence_id": 2234, "annotations": []}
{"role": "volunteer", "content": "Huh.", "session_id": 16453, "sequence_id": 2235, "annotations": []}
{"role": "student", "content": "How do you know it was forced so fast?", "session_id": 16453, "sequence_id": 2236, "annotations": []}
{"role": "volunteer", "content": "Oh, I guess, but it just looked like that was the way it was going.", "session_id": 16453, "sequence_id": 2237, "annotations": []}
{"role": "student", "content": "Oh", "session_id": 16453, "sequence_id": 2238, "annotations": []}
{"role": "volunteer", "content": "Yeah, see, you see how it's done. And basically, you would do it until it's adding the same amount to each one.", "session_id": 16453, "sequence_id": 2239, "annotations": []}
{"role": "student", "content": "yeah.", "session_id": 16453, "sequence_id": 2240, "annotations": []}
{"role": "student", "content": "So this doesn't really matter?", "session_id": 16453, "sequence_id": 2241, "annotations": []}
{"role": "volunteer", "content": "Um, I think it prob it I think it does matter, but I forget why.", "session_id": 16453, "sequence_id": 2242, "annotations": []}
{"role": "volunteer", "content": "I just remembered how to do it", "session_id": 16453, "sequence_id": 2243, "annotations": []}
{"role": "student", "content": "Yeah.", "session_id": 16453, "sequence_id": 2244, "annotations": []}
{"role": "volunteer", "content": "It, it's been uh like 2 years since I was in university or.", "session_id": 16453, "sequence_id": 2245, "annotations": [{"pii_type": "LOCATION", "surrogate": "university", "start": 45, "end": 55}]}
{"role": "volunteer", "content": "All right", "session_id": 16453, "sequence_id": 2246, "annotations": []}
{"role": "volunteer", "content": "Determine whether the degree of the function is odd or even. OK, so you know how to do this, right?", "session_id": 16453, "sequence_id": 2247, "annotations": []}
{"role": "student", "content": "Well, yeah, this is gonna be", "session_id": 16453, "sequence_id": 2248, "annotations": []}
{"role": "student", "content": "or on", "session_id": 16453, "sequence_id": 2249, "annotations": []}
{"role": "volunteer", "content": "Well, each of the arms is facing opposite directions, right?", "session_id": 16453, "sequence_id": 2250, "annotations": []}
{"role": "volunteer", "content": "Yes.", "session_id": 16453, "sequence_id": 2251, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 16453, "sequence_id": 2252, "annotations": []}
{"role": "volunteer", "content": "So then why, so what's the degree?", "session_id": 16453, "sequence_id": 2253, "annotations": []}
{"role": "volunteer", "content": "And do you remember what a function is?", "session_id": 16453, "sequence_id": 2254, "annotations": []}
{"role": "volunteer", "content": "A function basically just means that for every x value there's one y value.", "session_id": 16453, "sequence_id": 2255, "annotations": []}
{"role": "student", "content": "for", "session_id": 16453, "sequence_id": 2256, "annotations": []}
{"role": "volunteer", "content": "So I just can't overlap.", "session_id": 16453, "sequence_id": 2257, "annotations": []}
{"role": "student", "content": "Can you hear me", "session_id": 16453, "sequence_id": 2258, "annotations": []}
{"role": "volunteer", "content": "Yes", "session_id": 16453, "sequence_id": 2259, "annotations": []}
{"role": "student", "content": "It just literally took me out of screen sharing, so potentially use something flagged, so I have to re-screen share.", "session_id": 16453, "sequence_id": 2260, "annotations": []}
{"role": "volunteer", "content": "Oh, OK, no problem. Uh, it's still showing for me though.", "session_id": 16453, "sequence_id": 2261, "annotations": []}
{"role": "student", "content": "OK. So which one", "session_id": 16453, "sequence_id": 2262, "annotations": []}
{"role": "volunteer", "content": "OK. So", "session_id": 16453, "sequence_id": 2263, "annotations": []}
{"role": "student", "content": "It's, it should be an odd, right?", "session_id": 16453, "sequence_id": 2264, "annotations": []}
{"role": "volunteer", "content": "uh-huh, so that looks like a function, right? Because every X value, there's one y value.", "session_id": 16453, "sequence_id": 2265, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 16453, "sequence_id": 2266, "annotations": []}
{"role": "volunteer", "content": "passes the vertical line test.", "session_id": 16453, "sequence_id": 2267, "annotations": []}
{"role": "volunteer", "content": "Do you know what that is", "session_id": 16453, "sequence_id": 2268, "annotations": []}
{"role": "student", "content": "I go, I forgot what that was.", "session_id": 16453, "sequence_id": 2269, "annotations": []}
{"role": "volunteer", "content": "Um, basically, just a few.", "session_id": 16453, "sequence_id": 2270, "annotations": []}
{"role": "student", "content": "Is it like when, when you put a line down and it's too like", "session_id": 16453, "sequence_id": 2271, "annotations": []}
{"role": "student", "content": "make sure it passes through one time.", "session_id": 16453, "sequence_id": 2272, "annotations": []}
{"role": "volunteer", "content": "uh-huh, yup", "session_id": 16453, "sequence_id": 2273, "annotations": []}
{"role": "student", "content": "So it's", "session_id": 16453, "sequence_id": 2274, "annotations": []}
{"role": "volunteer", "content": "And so it's odd and function, right? Because there's only one X X value for every y value.", "session_id": 16453, "sequence_id": 2275, "annotations": []}
{"role": "student", "content": "so if it's an even fraction, it'll be there'll be like multiple values for one.", "session_id": 16453, "sequence_id": 2276, "annotations": []}
{"role": "volunteer", "content": "No, that would be if it's not a function.", "session_id": 16453, "sequence_id": 2277, "annotations": []}
{"role": "volunteer", "content": "If it's even, it just means that both of the lines are pointing the same direction at the end.", "session_id": 16453, "sequence_id": 2278, "annotations": []}
{"role": "student", "content": "But it's not an odd function.", "session_id": 16453, "sequence_id": 2279, "annotations": []}
{"role": "volunteer", "content": "Oh, whoops, um", "session_id": 16453, "sequence_id": 2280, "annotations": []}
{"role": "student", "content": "What is, what do you mean by, what is, what do they mean by um?", "session_id": 16453, "sequence_id": 2281, "annotations": []}
{"role": "volunteer", "content": "Oh, OK. So the point of symmetry is OK. Sure.", "session_id": 16453, "sequence_id": 2282, "annotations": []}
{"role": "volunteer", "content": "I", "session_id": 16453, "sequence_id": 2283, "annotations": []}
{"role": "student", "content": "I really don't notice what it goes like.", "session_id": 16453, "sequence_id": 2284, "annotations": []}
{"role": "volunteer", "content": "huh", "session_id": 16453, "sequence_id": 2285, "annotations": []}
{"role": "student", "content": "I don't notice, but it's fine.", "session_id": 16453, "sequence_id": 2286, "annotations": []}
{"role": "student", "content": "Mm", "session_id": 16453, "sequence_id": 2287, "annotations": []}
{"role": "volunteer", "content": "Basically, the point of symmetry is just, if, if you reflect Y equals x, it should be the same function.", "session_id": 16453, "sequence_id": 2288, "annotations": []}
{"role": "student", "content": "Oh yeah", "session_id": 16453, "sequence_id": 2289, "annotations": []}
{"role": "volunteer", "content": "But if you do it, if you flip it diagonally, it should look the same. That's why.", "session_id": 16453, "sequence_id": 2290, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 16453, "sequence_id": 2291, "annotations": []}
{"role": "student", "content": "All right, and it, it's not.", "session_id": 16453, "sequence_id": 2292, "annotations": []}
{"role": "volunteer", "content": "All right, let's go to the next one. You should be almost done.", "session_id": 16453, "sequence_id": 2293, "annotations": []}
{"role": "volunteer", "content": "Mm", "session_id": 16453, "sequence_id": 2294, "annotations": []}
{"role": "student", "content": "Yeah, got some more.", "session_id": 16453, "sequence_id": 2295, "annotations": []}
{"role": "volunteer", "content": "So you can", "session_id": 16453, "sequence_id": 2296, "annotations": []}
{"role": "student", "content": "It says how much you have right here.", "session_id": 16453, "sequence_id": 2297, "annotations": []}
{"role": "volunteer", "content": "even on or neither. What does it look like? If you flip it on its origin, it should look the same, so.", "session_id": 16453, "sequence_id": 2298, "annotations": []}
{"role": "student", "content": "So that", "session_id": 16453, "sequence_id": 2299, "annotations": []}
{"role": "student", "content": "is", "session_id": 16453, "sequence_id": 2300, "annotations": []}
{"role": "volunteer", "content": "looks odd to me.", "session_id": 16453, "sequence_id": 2301, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 16453, "sequence_id": 2302, "annotations": []}
{"role": "volunteer", "content": "and then because", "session_id": 16453, "sequence_id": 2303, "annotations": []}
{"role": "volunteer", "content": "it doesn't say if you flip it on its orig or if you flip it like y equals X or something.", "session_id": 16453, "sequence_id": 2304, "annotations": []}
{"role": "student", "content": "Um, this is what it said.", "session_id": 16453, "sequence_id": 2305, "annotations": []}
{"role": "volunteer", "content": "rotate the graph on its origin or", "session_id": 16453, "sequence_id": 2306, "annotations": []}
{"role": "volunteer", "content": "Yup.", "session_id": 16453, "sequence_id": 2307, "annotations": []}
{"role": "student", "content": "wait, it's a symmetrical about why accents.", "session_id": 16453, "sequence_id": 2308, "annotations": []}
{"role": "volunteer", "content": "that looks correctish.", "session_id": 16453, "sequence_id": 2309, "annotations": []}
{"role": "volunteer", "content": "probably", "session_id": 16453, "sequence_id": 2310, "annotations": []}
{"role": "student", "content": "is it symmetrical about the origin, symmetrical over the axis or about the origin, symmetrical.", "session_id": 16453, "sequence_id": 2311, "annotations": []}
{"role": "volunteer", "content": "I think, yeah, symmetri about the origin would be an odd function.", "session_id": 16453, "sequence_id": 2312, "annotations": []}
{"role": "volunteer", "content": "If it's symmetrical over the Y axis, it would be even.", "session_id": 16453, "sequence_id": 2313, "annotations": []}
{"role": "student", "content": "um", "session_id": 16453, "sequence_id": 2314, "annotations": []}
{"role": "student", "content": "last one", "session_id": 16453, "sequence_id": 2315, "annotations": []}
{"role": "volunteer", "content": "OK.", "session_id": 16453, "sequence_id": 2316, "annotations": []}
{"role": "volunteer", "content": "The table below shows select values from the function F, which is odd, and whose domain is all real numbers, finds negative X of -9.", "session_id": 16453, "sequence_id": 2317, "annotations": []}
{"role": "volunteer", "content": "So, let's f-9?", "session_id": 16453, "sequence_id": 2318, "annotations": []}
{"role": "student", "content": "um hmm", "session_id": 16453, "sequence_id": 2319, "annotations": []}
{"role": "volunteer", "content": "If we're finding", "session_id": 16453, "sequence_id": 2320, "annotations": []}
{"role": "student", "content": "Hello", "session_id": 16453, "sequence_id": 2321, "annotations": []}
{"role": "volunteer", "content": "hello", "session_id": 16453, "sequence_id": 2322, "annotations": []}
{"role": "student", "content": "Yeah.", "session_id": 16453, "sequence_id": 2323, "annotations": []}
{"role": "volunteer", "content": "I can hear you", "session_id": 16453, "sequence_id": 2324, "annotations": []}
{"role": "student", "content": "You said it was fine. Yeah, you said it we're finding what?", "session_id": 16453, "sequence_id": 2325, "annotations": []}
{"role": "volunteer", "content": "So we're finding negative F of -9. I would show an example because I don't know how to do this.", "session_id": 16453, "sequence_id": 2326, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 16453, "sequence_id": 2327, "annotations": []}
{"role": "volunteer", "content": "Oh, OK, because it's, I get it. So click X out.", "session_id": 16453, "sequence_id": 2328, "annotations": []}
{"role": "student", "content": "Uh-huh", "session_id": 16453, "sequence_id": 2329, "annotations": []}
{"role": "volunteer", "content": "So it's an odd function, right? Which means that it's reflected over the origin.", "session_id": 16453, "sequence_id": 2330, "annotations": []}
{"role": "student", "content": "Mhm", "session_id": 16453, "sequence_id": 2331, "annotations": []}
{"role": "volunteer", "content": "So if negative F of -9. So that means at 9 it's positive or at 9, it's positive 16, right? Because at 9, it's -16.", "session_id": 16453, "sequence_id": 2332, "annotations": []}
{"role": "volunteer", "content": "because the like just the the um symbols in front of them would switch, right?", "session_id": 16453, "sequence_id": 2333, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 16453, "sequence_id": 2334, "annotations": []}
{"role": "volunteer", "content": "So if it's negative F of -9, wouldn't it still be -16?", "session_id": 16453, "sequence_id": 2335, "annotations": []}
{"role": "volunteer", "content": "Because it would be positive 16 and the negative.", "session_id": 16453, "sequence_id": 2336, "annotations": []}
{"role": "volunteer", "content": "Does that make sense", "session_id": 16453, "sequence_id": 2337, "annotations": []}
{"role": "student", "content": "Wait, I", "session_id": 16453, "sequence_id": 2338, "annotations": []}
{"role": "student", "content": "wait", "session_id": 16453, "sequence_id": 2339, "annotations": []}
{"role": "student", "content": "How do you do negative F? I've never seen that before.", "session_id": 16453, "sequence_id": 2340, "annotations": []}
{"role": "volunteer", "content": "Uh, it would just be a negative answer of what the answer would be.", "session_id": 16453, "sequence_id": 2341, "annotations": []}
{"role": "student", "content": "Oh", "session_id": 16453, "sequence_id": 2342, "annotations": []}
{"role": "volunteer", "content": "So, OK, so you know how it's flipped over the origin, right?", "session_id": 16453, "sequence_id": 2343, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 16453, "sequence_id": 2344, "annotations": []}
{"role": "volunteer", "content": "So if the X value is equal to 9,", "session_id": 16453, "sequence_id": 2345, "annotations": []}
{"role": "student", "content": "Mm.", "session_id": 16453, "sequence_id": 2346, "annotations": []}
{"role": "volunteer", "content": "So what would be, and if it's -16, then what would it be if it equals -9", "session_id": 16453, "sequence_id": 2347, "annotations": []}
{"role": "student", "content": "9", "session_id": 16453, "sequence_id": 2348, "annotations": []}
{"role": "volunteer", "content": "No, look at the Y value now. What would the Y value be if it equals -9.", "session_id": 16453, "sequence_id": 2349, "annotations": []}
{"role": "student", "content": "Mhm.", "session_id": 16453, "sequence_id": 2350, "annotations": []}
{"role": "volunteer", "content": "You know how like the X cubed function is mirrored on both sides.", "session_id": 16453, "sequence_id": 2351, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 16453, "sequence_id": 2352, "annotations": []}
{"role": "volunteer", "content": "Yeah, so you see how X equals 9?", "session_id": 16453, "sequence_id": 2353, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 16453, "sequence_id": 2354, "annotations": []}
{"role": "volunteer", "content": "So what would be if X equals -9, it would equal 16, right?", "session_id": 16453, "sequence_id": 2355, "annotations": []}
{"role": "student", "content": "Oh, you're right here. Oh yeah, I see.", "session_id": 16453, "sequence_id": 2356, "annotations": []}
{"role": "volunteer", "content": "Yeah, that makes sense, but it's negative, so the answer would be a negative version of positive 16.", "session_id": 16453, "sequence_id": 2357, "annotations": []}
{"role": "volunteer", "content": "which is", "session_id": 16453, "sequence_id": 2358, "annotations": []}
{"role": "student", "content": "So negative?", "session_id": 16453, "sequence_id": 2359, "annotations": []}
{"role": "volunteer", "content": "-16. Yeah, that makes sense.", "session_id": 16453, "sequence_id": 2360, "annotations": []}
{"role": "volunteer", "content": "And if it isn't, the question's wrong. No.", "session_id": 16453, "sequence_id": 2361, "annotations": []}
{"role": "student", "content": "What", "session_id": 16453, "sequence_id": 2362, "annotations": []}
{"role": "volunteer", "content": "I'm kidding", "session_id": 16453, "sequence_id": 2363, "annotations": []}
{"role": "volunteer", "content": "But", "session_id": 16453, "sequence_id": 2364, "annotations": []}
{"role": "student", "content": "find F of -9.", "session_id": 16453, "sequence_id": 2365, "annotations": []}
{"role": "volunteer", "content": "uh-huh, yeah, so what would F of -9 be? If F of 9 is -16.", "session_id": 16453, "sequence_id": 2366, "annotations": []}
{"role": "student", "content": "16.", "session_id": 16453, "sequence_id": 2367, "annotations": []}
{"role": "volunteer", "content": "Yep, and so it would be negative 16 because it's negative F of -9.", "session_id": 16453, "sequence_id": 2368, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 16453, "sequence_id": 2369, "annotations": []}
{"role": "volunteer", "content": "Congratulations", "session_id": 16453, "sequence_id": 2370, "annotations": []}
{"role": "student", "content": "Thank you so much.", "session_id": 16453, "sequence_id": 2371, "annotations": []}
{"role": "volunteer", "content": "No problem.", "session_id": 16453, "sequence_id": 2372, "annotations": []}
{"role": "student", "content": "So now I gotta go practice for a push.", "session_id": 16453, "sequence_id": 2373, "annotations": []}
{"role": "volunteer", "content": "Uh, I remember a that. I did that last year.", "session_id": 16453, "sequence_id": 2374, "annotations": []}
{"role": "student", "content": "Was it easy for you", "session_id": 16453, "sequence_id": 2375, "annotations": []}
{"role": "volunteer", "content": "It Wasn't hard. I got a 4", "session_id": 16453, "sequence_id": 2376, "annotations": []}
{"role": "student", "content": "OK, I took AP Psychology last year and I got a, I got a 2.", "session_id": 16453, "sequence_id": 2377, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 16453, "sequence_id": 2378, "annotations": []}
{"role": "volunteer", "content": "Oh, I got a 5 to many people.", "session_id": 16453, "sequence_id": 2379, "annotations": []}
{"role": "student", "content": "Well, thank you so much. You", "session_id": 16453, "sequence_id": 2380, "annotations": []}
{"role": "student", "content": "you helped me a lot", "session_id": 16453, "sequence_id": 2381, "annotations": []}
{"role": "volunteer", "content": "No problem. Have a good day.", "session_id": 16453, "sequence_id": 2382, "annotations": []}
{"role": "student", "content": "You too", "session_id": 16453, "sequence_id": 2383, "annotations": []}
{"role": "student", "content": "hi:)", "session_id": 16703, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "great it worked!", "session_id": 16703, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "let's finish this homework!", "session_id": 16703, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": ":)", "session_id": 16703, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "yes:)", "session_id": 16703, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "lets do question 1", "session_id": 16703, "sequence_id": 5, "annotations": [{"pii_type": "PERSON", "surrogate": "question 1", "start": 8, "end": 18}]}
{"role": "volunteer", "content": "ok great :)", "session_id": 16703, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "so to do a percentage problem you take the percentage, turn it into a decimal, and then multiply it by the non-percentage number", "session_id": 16703, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "so it would be 18% turns into 0.18", "session_id": 16703, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "than we would multiply .18 by 500", "session_id": 16703, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "ok", "session_id": 16703, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "90", "session_id": 16703, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "yes correct!!!", "session_id": 16703, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "so it would be 18/500", "session_id": 16703, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "i meant 90/500", "session_id": 16703, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "no it would just be 90", "session_id": 16703, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "because 500 is the whole number", "session_id": 16703, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "and then we took a portion of that whole number", "session_id": 16703, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "(the portion being 18%)", "session_id": 16703, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "and then the portion of the original number ended up being 90", "session_id": 16703, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "oh okay", "session_id": 16703, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "like if 18% of the students were boys and there were 500 students in total", "session_id": 16703, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "then 90 of them would be boys", "session_id": 16703, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "does this make sense?", "session_id": 16703, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "yes it does", "session_id": 16703, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "great!", "session_id": 16703, "sequence_id": 25, "annotations": []}
{"role": "student", "content": ":)", "session_id": 16703, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "do u want to try it first or have me explain it?", "session_id": 16703, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "i can try", "session_id": 16703, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "amazing :)", "session_id": 16703, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "160", "session_id": 16703, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "almost, that is the amount that the was reduced by", "session_id": 16703, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "were looking forthe new price of the tv", "session_id": 16703, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "640", "session_id": 16703, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "yes great job!!!", "session_id": 16703, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "that is correct!!", "session_id": 16703, "sequence_id": 35, "annotations": []}
{"role": "student", "content": ":)", "session_id": 16703, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "23", "session_id": 16703, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "do u want to go first or me?", "session_id": 16703, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "i think 528", "session_id": 16703, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "i can try", "session_id": 16703, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "yes that is correct!!!", "session_id": 16703, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "great job Sarah!!", "session_id": 16703, "sequence_id": 42, "annotations": [{"pii_type": "PERSON", "surrogate": "Sarah", "start": 10, "end": 15}]}
{"role": "volunteer", "content": "you're doing so good!!", "session_id": 16703, "sequence_id": 43, "annotations": []}
{"role": "student", "content": "thanks:)", "session_id": 16703, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "question 29", "session_id": 16703, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "question 29 has to do with factoring i think", "session_id": 16703, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "let me solve it real quick and then i'll get back to u on the best way to do it", "session_id": 16703, "sequence_id": 47, "annotations": []}
{"role": "student", "content": "ok", "session_id": 16703, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "thanks", "session_id": 16703, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "ok so yes i solved this one with factoring", "session_id": 16703, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "first i moved every term to the left side so the equation would be equal to 0", "session_id": 16703, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "is that making sense so far?", "session_id": 16703, "sequence_id": 52, "annotations": []}
{"role": "student", "content": "kind of", "session_id": 16703, "sequence_id": 53, "annotations": []}
{"role": "student", "content": "what is factoring?", "session_id": 16703, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "factoring is when you take an equation and split it up so you can easily see what the solution of the equation is", "session_id": 16703, "sequence_id": 55, "annotations": []}
{"role": "student", "content": "oh ok", "session_id": 16703, "sequence_id": 56, "annotations": []}
{"role": "student", "content": "so if the answer is 0 i can just type in DNE?", "session_id": 16703, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "not necessarily, we just made it equal to zero so we can factor", "session_id": 16703, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "having the equation equal to 0 makes it easier to factor", "session_id": 16703, "sequence_id": 59, "annotations": []}
{"role": "student", "content": "ok", "session_id": 16703, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "can you see the equation i wrote on the whiteboard?", "session_id": 16703, "sequence_id": 61, "annotations": []}
{"role": "student", "content": "yes", "session_id": 16703, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "great so i'm goingto show you how to factor it", "session_id": 16703, "sequence_id": 63, "annotations": []}
{"role": "student", "content": "ok", "session_id": 16703, "sequence_id": 64, "annotations": []}
{"role": "student", "content": ":)", "session_id": 16703, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "so do u see how i labeled each term with an a, b, or c?", "session_id": 16703, "sequence_id": 66, "annotations": []}
{"role": "student", "content": "yes", "session_id": 16703, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "great!", "session_id": 16703, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "then we will draw a big X", "session_id": 16703, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "at the top of the x we will multiply the coefficient of a and c together", "session_id": 16703, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "so what is the coefficient of x^2 in the equation", "session_id": 16703, "sequence_id": 71, "annotations": []}
{"role": "student", "content": "ummmm", "session_id": 16703, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "the coefficient is the number in front of the variable", "session_id": 16703, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "and since there is no number in front of x^2", "session_id": 16703, "sequence_id": 74, "annotations": []}
{"role": "volunteer", "content": "that means the coefficient is 1", "session_id": 16703, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "is that making sense?", "session_id": 16703, "sequence_id": 76, "annotations": []}
{"role": "student", "content": "you mean the 1 written under c?", "session_id": 16703, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "not exactly, see the x^2 written under the a", "session_id": 16703, "sequence_id": 78, "annotations": []}
{"role": "student", "content": "yes i see", "session_id": 16703, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "so the coefficient for a would be the number in front of the x^2", "session_id": 16703, "sequence_id": 80, "annotations": []}
{"role": "volunteer", "content": "do we get what a coefficient is?", "session_id": 16703, "sequence_id": 81, "annotations": []}
{"role": "student", "content": "yes", "session_id": 16703, "sequence_id": 82, "annotations": []}
{"role": "student", "content": "so basically there is no number", "session_id": 16703, "sequence_id": 83, "annotations": []}
{"role": "student", "content": "so we just made it to 1?", "session_id": 16703, "sequence_id": 84, "annotations": []}
{"role": "volunteer", "content": "yes because the coeffifient is the number that is being multiplied to the variable, like how for 2x the coefficient is 2 because we are multiplying 2 and x", "session_id": 16703, "sequence_id": 85, "annotations": []}
{"role": "volunteer", "content": "the coefficient for x^2 is 1 becuase we are multiplying x^2 and 1 to get just x^2", "session_id": 16703, "sequence_id": 86, "annotations": []}
{"role": "volunteer", "content": "are we understanding?", "session_id": 16703, "sequence_id": 87, "annotations": []}
{"role": "student", "content": "ok", "session_id": 16703, "sequence_id": 88, "annotations": []}
{"role": "student", "content": "yes", "session_id": 16703, "sequence_id": 89, "annotations": []}
{"role": "volunteer", "content": "great!", "session_id": 16703, "sequence_id": 90, "annotations": []}
{"role": "volunteer", "content": "so we multiplythe coeffifient of X^2 by whatever c is", "session_id": 16703, "sequence_id": 91, "annotations": []}
{"role": "volunteer", "content": "so if the coefficient of x^2 is 1 and c is one", "session_id": 16703, "sequence_id": 92, "annotations": []}
{"role": "volunteer", "content": "then we do 1*1 which just gives us 1", "session_id": 16703, "sequence_id": 93, "annotations": []}
{"role": "volunteer", "content": "so we write 1 at the top of the big X", "session_id": 16703, "sequence_id": 94, "annotations": []}
{"role": "student", "content": "ok", "session_id": 16703, "sequence_id": 95, "annotations": []}
{"role": "student", "content": "i get it", "session_id": 16703, "sequence_id": 96, "annotations": []}
{"role": "volunteer", "content": "and then at the bottom of the big X we write the coefficient of the number under b", "session_id": 16703, "sequence_id": 97, "annotations": []}
{"role": "volunteer", "content": "which would be 2", "session_id": 16703, "sequence_id": 98, "annotations": []}
{"role": "volunteer", "content": "does it make sense how we got 2?", "session_id": 16703, "sequence_id": 99, "annotations": []}
{"role": "student", "content": "yes", "session_id": 16703, "sequence_id": 100, "annotations": []}
{"role": "volunteer", "content": "amazing!", "session_id": 16703, "sequence_id": 101, "annotations": []}
{"role": "volunteer", "content": "now for factoring", "session_id": 16703, "sequence_id": 102, "annotations": []}
{"role": "volunteer", "content": "we need to see what two numbers multiply to the number at the top of the big X and add up to the number at the bottom of the big X", "session_id": 16703, "sequence_id": 103, "annotations": []}
{"role": "volunteer", "content": "so for this question it would be 1", "session_id": 16703, "sequence_id": 104, "annotations": []}
{"role": "volunteer", "content": "because 1*1=1, which is the number at the top of the big X, and 1+1=2, which is the number at the bottom of the big X", "session_id": 16703, "sequence_id": 105, "annotations": []}
{"role": "student", "content": "ok", "session_id": 16703, "sequence_id": 106, "annotations": []}
{"role": "volunteer", "content": "is it making sense so far?", "session_id": 16703, "sequence_id": 107, "annotations": []}
{"role": "student", "content": "yes", "session_id": 16703, "sequence_id": 108, "annotations": []}
{"role": "volunteer", "content": "ok great!", "session_id": 16703, "sequence_id": 109, "annotations": []}
{"role": "volunteer", "content": "and then we take each of the 1s from the big X and bring it back to the equation", "session_id": 16703, "sequence_id": 110, "annotations": []}
{"role": "volunteer", "content": "since the 1s are positive we add them to the x", "session_id": 16703, "sequence_id": 111, "annotations": []}
{"role": "student", "content": "ok", "session_id": 16703, "sequence_id": 112, "annotations": []}
{"role": "volunteer", "content": "because if you look at the new equation if we expand it it will go back to the old equation", "session_id": 16703, "sequence_id": 113, "annotations": []}
{"role": "volunteer", "content": "so now all that is left is to solve the equation", "session_id": 16703, "sequence_id": 114, "annotations": []}
{"role": "volunteer", "content": "so for the example equation, the solution would be -1", "session_id": 16703, "sequence_id": 115, "annotations": []}
{"role": "volunteer", "content": "does it make sense how we got there?", "session_id": 16703, "sequence_id": 116, "annotations": []}
{"role": "student", "content": "kind of yes", "session_id": 16703, "sequence_id": 117, "annotations": []}
{"role": "volunteer", "content": "ok great so now i'll demonstrate it with #29", "session_id": 16703, "sequence_id": 118, "annotations": []}
{"role": "student", "content": "ok", "session_id": 16703, "sequence_id": 119, "annotations": []}
{"role": "volunteer", "content": "do we get how i got there?", "session_id": 16703, "sequence_id": 120, "annotations": []}
{"role": "student", "content": "yeah but its kind of confusing", "session_id": 16703, "sequence_id": 121, "annotations": []}
{"role": "student", "content": "but you got 0 as your answer", "session_id": 16703, "sequence_id": 122, "annotations": []}
{"role": "volunteer", "content": "my fault then i'll do it again but show u each step individually", "session_id": 16703, "sequence_id": 123, "annotations": []}
{"role": "student", "content": "no its not your fault", "session_id": 16703, "sequence_id": 124, "annotations": []}
{"role": "student", "content": "its my fault", "session_id": 16703, "sequence_id": 125, "annotations": []}
{"role": "student", "content": "but", "session_id": 16703, "sequence_id": 126, "annotations": []}
{"role": "student", "content": "can we please do a different Q", "session_id": 16703, "sequence_id": 127, "annotations": []}
{"role": "volunteer", "content": "yes of course", "session_id": 16703, "sequence_id": 128, "annotations": []}
{"role": "student", "content": "and then come back to this one later", "session_id": 16703, "sequence_id": 129, "annotations": []}
{"role": "student", "content": "thanks:)", "session_id": 16703, "sequence_id": 130, "annotations": []}
{"role": "volunteer", "content": "yup we will do whatever is good for u", "session_id": 16703, "sequence_id": 131, "annotations": []}
{"role": "student", "content": "thanks", "session_id": 16703, "sequence_id": 132, "annotations": []}
{"role": "student", "content": "question 25", "session_id": 16703, "sequence_id": 133, "annotations": []}
{"role": "volunteer", "content": "ok do u want to go first or me?", "session_id": 16703, "sequence_id": 134, "annotations": []}
{"role": "student", "content": "i can try", "session_id": 16703, "sequence_id": 135, "annotations": []}
{"role": "volunteer", "content": "yes good job!!!", "session_id": 16703, "sequence_id": 136, "annotations": []}
{"role": "volunteer", "content": "that is right so far!", "session_id": 16703, "sequence_id": 137, "annotations": []}
{"role": "volunteer", "content": "yes that is right!", "session_id": 16703, "sequence_id": 138, "annotations": []}
{"role": "volunteer", "content": "great job!!!!", "session_id": 16703, "sequence_id": 139, "annotations": []}
{"role": "student", "content": "is this one correct?", "session_id": 16703, "sequence_id": 140, "annotations": []}
{"role": "volunteer", "content": "yes that is the right set up!!!", "session_id": 16703, "sequence_id": 141, "annotations": []}
{"role": "volunteer", "content": "yes great job Sarah!!!!", "session_id": 16703, "sequence_id": 142, "annotations": [{"pii_type": "PERSON", "surrogate": "Sarah", "start": 14, "end": 19}]}
{"role": "volunteer", "content": "that is correct!!!", "session_id": 16703, "sequence_id": 143, "annotations": []}
{"role": "student", "content": ":)", "session_id": 16703, "sequence_id": 144, "annotations": []}
{"role": "student", "content": "31", "session_id": 16703, "sequence_id": 145, "annotations": []}
{"role": "volunteer", "content": "do u want totry it first or me?", "session_id": 16703, "sequence_id": 146, "annotations": []}
{"role": "student", "content": "i can try", "session_id": 16703, "sequence_id": 147, "annotations": []}
{"role": "student", "content": "is it correct?", "session_id": 16703, "sequence_id": 148, "annotations": []}
{"role": "volunteer", "content": "yes it is!!!", "session_id": 16703, "sequence_id": 149, "annotations": []}
{"role": "volunteer", "content": "great job!!!", "session_id": 16703, "sequence_id": 150, "annotations": []}
{"role": "volunteer", "content": "almost!, look at the negative sign in front of the 9", "session_id": 16703, "sequence_id": 151, "annotations": []}
{"role": "student", "content": "is it incorrect?", "session_id": 16703, "sequence_id": 152, "annotations": []}
{"role": "volunteer", "content": "it should be a positive 9", "session_id": 16703, "sequence_id": 153, "annotations": []}
{"role": "volunteer", "content": "because first we multiply 5 and -1 to get -5", "session_id": 16703, "sequence_id": 154, "annotations": []}
{"role": "volunteer", "content": "then we add 2 to get -3", "session_id": 16703, "sequence_id": 155, "annotations": []}
{"role": "volunteer", "content": "and then we do 6-(-3)", "session_id": 16703, "sequence_id": 156, "annotations": []}
{"role": "student", "content": "oh ok", "session_id": 16703, "sequence_id": 157, "annotations": []}
{"role": "volunteer", "content": "which is another way of saying 6+3=9", "session_id": 16703, "sequence_id": 158, "annotations": []}
{"role": "student", "content": "i got it", "session_id": 16703, "sequence_id": 159, "annotations": []}
{"role": "volunteer", "content": "but the denominator is correct!!!", "session_id": 16703, "sequence_id": 160, "annotations": []}
{"role": "student", "content": "so the answer is dne", "session_id": 16703, "sequence_id": 161, "annotations": []}
{"role": "volunteer", "content": "yes!!!", "session_id": 16703, "sequence_id": 162, "annotations": []}
{"role": "volunteer", "content": "great job", "session_id": 16703, "sequence_id": 163, "annotations": []}
{"role": "volunteer", "content": ":)", "session_id": 16703, "sequence_id": 164, "annotations": []}
{"role": "student", "content": ":)", "session_id": 16703, "sequence_id": 165, "annotations": []}
{"role": "student", "content": "question 32", "session_id": 16703, "sequence_id": 166, "annotations": []}
{"role": "volunteer", "content": "for #32", "session_id": 16703, "sequence_id": 167, "annotations": []}
{"role": "volunteer", "content": "t is for childrens movie tickets and n is adult movie tickets", "session_id": 16703, "sequence_id": 168, "annotations": []}
{"role": "volunteer", "content": "for each time someone buys a childrens movie ticket it is 4 dollars", "session_id": 16703, "sequence_id": 169, "annotations": []}
{"role": "volunteer", "content": "so we multiply the number of tickets bought (t) by the cost of the ticket ($4) to get 4t", "session_id": 16703, "sequence_id": 170, "annotations": []}
{"role": "volunteer", "content": "and then we do the same with the adult movie tickets 9*n to get 9n", "session_id": 16703, "sequence_id": 171, "annotations": []}
{"role": "volunteer", "content": "and then to see the total that Maya spent we add then together to get 4t+9n", "session_id": 16703, "sequence_id": 172, "annotations": [{"pii_type": "PERSON", "surrogate": "Maya", "start": 31, "end": 35}]}
{"role": "student", "content": "oh ok", "session_id": 16703, "sequence_id": 173, "annotations": []}
{"role": "volunteer", "content": "did that all make sense?", "session_id": 16703, "sequence_id": 174, "annotations": []}
{"role": "student", "content": "yes:)", "session_id": 16703, "sequence_id": 175, "annotations": []}
{"role": "volunteer", "content": "great!", "session_id": 16703, "sequence_id": 176, "annotations": []}
{"role": "student", "content": "question 20", "session_id": 16703, "sequence_id": 177, "annotations": []}
{"role": "volunteer", "content": "do u want to try first or have me explain it?", "session_id": 16703, "sequence_id": 178, "annotations": []}
{"role": "student", "content": "you can please", "session_id": 16703, "sequence_id": 179, "annotations": []}
{"role": "volunteer", "content": "ok great :)", "session_id": 16703, "sequence_id": 180, "annotations": []}
{"role": "volunteer", "content": "to start it says the quotent of so we will need to divide somewhere in the expression", "session_id": 16703, "sequence_id": 181, "annotations": []}
{"role": "student", "content": "ok", "session_id": 16703, "sequence_id": 182, "annotations": []}
{"role": "volunteer", "content": "and then it says \"16 more\" which indicates that we have to add 16", "session_id": 16703, "sequence_id": 183, "annotations": []}
{"role": "student", "content": "ok", "session_id": 16703, "sequence_id": 184, "annotations": []}
{"role": "volunteer", "content": "and then it says the cube of a number", "session_id": 16703, "sequence_id": 185, "annotations": []}
{"role": "volunteer", "content": "and for \"a number\" we will use x", "session_id": 16703, "sequence_id": 186, "annotations": []}
{"role": "volunteer", "content": "then it says \"and the number\" which means we divide by x", "session_id": 16703, "sequence_id": 187, "annotations": []}
{"role": "student", "content": "oh ok", "session_id": 16703, "sequence_id": 188, "annotations": []}
{"role": "volunteer", "content": "is that all makig sense?", "session_id": 16703, "sequence_id": 189, "annotations": []}
{"role": "student", "content": "yes", "session_id": 16703, "sequence_id": 190, "annotations": []}
{"role": "volunteer", "content": "great!", "session_id": 16703, "sequence_id": 191, "annotations": []}
{"role": "student", "content": "i accidently pressed enter", "session_id": 16703, "sequence_id": 192, "annotations": []}
{"role": "volunteer", "content": "oh no \ud83d\ude2d", "session_id": 16703, "sequence_id": 193, "annotations": []}
{"role": "student", "content": "how am i suppose to get the dividing line ?", "session_id": 16703, "sequence_id": 194, "annotations": []}
{"role": "volunteer", "content": "maybe start with the fraction button and then type the 16+x^3", "session_id": 16703, "sequence_id": 195, "annotations": []}
{"role": "student", "content": "thank you so much:)", "session_id": 16703, "sequence_id": 196, "annotations": []}
{"role": "volunteer", "content": "of course :)", "session_id": 16703, "sequence_id": 197, "annotations": []}
{"role": "student", "content": "question 18", "session_id": 16703, "sequence_id": 198, "annotations": []}
{"role": "volunteer", "content": "do u want to go first or me?", "session_id": 16703, "sequence_id": 199, "annotations": []}
{"role": "student", "content": "you please:)", "session_id": 16703, "sequence_id": 200, "annotations": []}
{"role": "volunteer", "content": "ok perfect :)", "session_id": 16703, "sequence_id": 201, "annotations": []}
{"role": "volunteer", "content": "so Alex's score is \"15 more\"", "session_id": 16703, "sequence_id": 202, "annotations": [{"pii_type": "PERSON", "surrogate": "Alex", "start": 3, "end": 7}]}
{"role": "volunteer", "content": "so we have to add 15", "session_id": 16703, "sequence_id": 203, "annotations": []}
{"role": "volunteer", "content": "and then it is 3 times more than Ben's score", "session_id": 16703, "sequence_id": 204, "annotations": [{"pii_type": "LOCATION", "surrogate": "Ben", "start": 33, "end": 36}]}
{"role": "volunteer", "content": "and Ben's score is x", "session_id": 16703, "sequence_id": 205, "annotations": [{"pii_type": "LOCATION", "surrogate": "Ben", "start": 4, "end": 7}]}
{"role": "volunteer", "content": "so 3 *x is 3x", "session_id": 16703, "sequence_id": 206, "annotations": []}
{"role": "student", "content": "ok", "session_id": 16703, "sequence_id": 207, "annotations": []}
{"role": "volunteer", "content": "and that is the expression :)", "session_id": 16703, "sequence_id": 208, "annotations": []}
{"role": "volunteer", "content": "is that makeing sense?", "session_id": 16703, "sequence_id": 209, "annotations": []}
{"role": "student", "content": "yes:)", "session_id": 16703, "sequence_id": 210, "annotations": []}
{"role": "volunteer", "content": "amazing!!", "session_id": 16703, "sequence_id": 211, "annotations": []}
{"role": "volunteer", "content": "sorry Ben's score is t", "session_id": 16703, "sequence_id": 212, "annotations": [{"pii_type": "LOCATION", "surrogate": "Ben", "start": 6, "end": 9}]}
{"role": "volunteer", "content": "so instead of x use t", "session_id": 16703, "sequence_id": 213, "annotations": []}
{"role": "student", "content": "its ok", "session_id": 16703, "sequence_id": 214, "annotations": []}
{"role": "student", "content": "question 19", "session_id": 16703, "sequence_id": 215, "annotations": []}
{"role": "volunteer", "content": "do u want to try or me?", "session_id": 16703, "sequence_id": 216, "annotations": []}
{"role": "student", "content": "i can try", "session_id": 16703, "sequence_id": 217, "annotations": []}
{"role": "student", "content": "13-y", "session_id": 16703, "sequence_id": 218, "annotations": []}
{"role": "student", "content": "is it correct?", "session_id": 16703, "sequence_id": 219, "annotations": []}
{"role": "volunteer", "content": "not quite, it says \"13 less\" so you are correct to subtract but you would subtract from the end of the equation", "session_id": 16703, "sequence_id": 220, "annotations": []}
{"role": "volunteer", "content": "since we are removing 13 from half of Chris's debt", "session_id": 16703, "sequence_id": 221, "annotations": [{"pii_type": "PERSON", "surrogate": "Chris", "start": 38, "end": 43}]}
{"role": "volunteer", "content": "and then it says \"half of Chris's debt\"", "session_id": 16703, "sequence_id": 222, "annotations": [{"pii_type": "PERSON", "surrogate": "Chris", "start": 26, "end": 31}]}
{"role": "volunteer", "content": "so we have to divide y by 2", "session_id": 16703, "sequence_id": 223, "annotations": []}
{"role": "student", "content": "oh ok", "session_id": 16703, "sequence_id": 224, "annotations": []}
{"role": "student", "content": "thanks:)", "session_id": 16703, "sequence_id": 225, "annotations": []}
{"role": "student", "content": "question 21", "session_id": 16703, "sequence_id": 226, "annotations": []}
{"role": "volunteer", "content": "do u wanna take a go at it or me?", "session_id": 16703, "sequence_id": 227, "annotations": []}
{"role": "student", "content": "you please", "session_id": 16703, "sequence_id": 228, "annotations": []}
{"role": "volunteer", "content": "ok great :)", "session_id": 16703, "sequence_id": 229, "annotations": []}
{"role": "volunteer", "content": "so it says 3 less", "session_id": 16703, "sequence_id": 230, "annotations": []}
{"role": "volunteer", "content": "so we have to subtract 3 from the end", "session_id": 16703, "sequence_id": 231, "annotations": []}
{"role": "volunteer", "content": "and then twice its width", "session_id": 16703, "sequence_id": 232, "annotations": []}
{"role": "volunteer", "content": "so we multiply the width by 2", "session_id": 16703, "sequence_id": 233, "annotations": []}
{"role": "volunteer", "content": "is this making sense?", "session_id": 16703, "sequence_id": 234, "annotations": []}
{"role": "student", "content": "yes", "session_id": 16703, "sequence_id": 235, "annotations": []}
{"role": "volunteer", "content": "yay :)", "session_id": 16703, "sequence_id": 236, "annotations": []}
{"role": "student", "content": "yay:)", "session_id": 16703, "sequence_id": 237, "annotations": []}
{"role": "student", "content": "question 2", "session_id": 16703, "sequence_id": 238, "annotations": []}
{"role": "volunteer", "content": "do u want to go first or me?", "session_id": 16703, "sequence_id": 239, "annotations": []}
{"role": "student", "content": "you :)", "session_id": 16703, "sequence_id": 240, "annotations": []}
{"role": "volunteer", "content": "ok cool :)", "session_id": 16703, "sequence_id": 241, "annotations": []}
{"role": "volunteer", "content": "so 39 is not prime because it can be divided by 3", "session_id": 16703, "sequence_id": 242, "annotations": []}
{"role": "student", "content": "so if it can be divided by 3 it is not prime?", "session_id": 16703, "sequence_id": 243, "annotations": []}
{"role": "volunteer", "content": "if a number can be divided and the answer is a whole number then it is prime", "session_id": 16703, "sequence_id": 244, "annotations": []}
{"role": "volunteer", "content": "for example 39/3=13 so it isn't prime because 3*13=39", "session_id": 16703, "sequence_id": 245, "annotations": []}
{"role": "volunteer", "content": "but for 53 there are no whole numbers that multiply together to make 53", "session_id": 16703, "sequence_id": 246, "annotations": []}
{"role": "volunteer", "content": "does that make sense?", "session_id": 16703, "sequence_id": 247, "annotations": []}
{"role": "student", "content": "if a number can be divided and the answer is a whole number then it is prime or it is not prime?", "session_id": 16703, "sequence_id": 248, "annotations": []}
{"role": "volunteer", "content": "then it is not prime", "session_id": 16703, "sequence_id": 249, "annotations": []}
{"role": "student", "content": "ok", "session_id": 16703, "sequence_id": 250, "annotations": []}
{"role": "volunteer", "content": "now for 57", "session_id": 16703, "sequence_id": 251, "annotations": []}
{"role": "volunteer", "content": "do u think it is prime or not prime", "session_id": 16703, "sequence_id": 252, "annotations": []}
{"role": "volunteer", "content": "(try dividing it by 2, 3, 4, 5, 6, 7, 8 ,9, 10, 11, 12 to see if any divide it nicely)", "session_id": 16703, "sequence_id": 253, "annotations": []}
{"role": "student", "content": "only 53 and 67", "session_id": 16703, "sequence_id": 254, "annotations": []}
{"role": "student", "content": "are prime", "session_id": 16703, "sequence_id": 255, "annotations": []}
{"role": "volunteer", "content": "yes great job!!!!", "session_id": 16703, "sequence_id": 256, "annotations": []}
{"role": "student", "content": "thanks:)", "session_id": 16703, "sequence_id": 257, "annotations": []}
{"role": "student", "content": "question 3", "session_id": 16703, "sequence_id": 258, "annotations": []}
{"role": "volunteer", "content": "do u want to go first or me?", "session_id": 16703, "sequence_id": 259, "annotations": []}
{"role": "student", "content": "you:)", "session_id": 16703, "sequence_id": 260, "annotations": []}
{"role": "volunteer", "content": "ok cool cool :)", "session_id": 16703, "sequence_id": 261, "annotations": []}
{"role": "volunteer", "content": "so to factor a number, we have to find the simplest numbers that when multiplied together they make up the number", "session_id": 16703, "sequence_id": 262, "annotations": []}
{"role": "volunteer", "content": "so we have 60", "session_id": 16703, "sequence_id": 263, "annotations": []}
{"role": "volunteer", "content": "and two numbers that make up 60 are 2 and 30", "session_id": 16703, "sequence_id": 264, "annotations": []}
{"role": "volunteer", "content": "and two numbers that make up 30 are 2 and 15", "session_id": 16703, "sequence_id": 265, "annotations": []}
{"role": "volunteer", "content": "and two numbers that make up 15 are 3 and 5", "session_id": 16703, "sequence_id": 266, "annotations": []}
{"role": "volunteer", "content": "and now you see how each number at thebottom of each arro is prime?", "session_id": 16703, "sequence_id": 267, "annotations": []}
{"role": "student", "content": "yes", "session_id": 16703, "sequence_id": 268, "annotations": []}
{"role": "volunteer", "content": "thats how you know we've factored the number enough", "session_id": 16703, "sequence_id": 269, "annotations": []}
{"role": "volunteer", "content": "and now we can count", "session_id": 16703, "sequence_id": 270, "annotations": []}
{"role": "volunteer", "content": "how many 2s are there?", "session_id": 16703, "sequence_id": 271, "annotations": []}
{"role": "student", "content": "2", "session_id": 16703, "sequence_id": 272, "annotations": []}
{"role": "volunteer", "content": "and how many 3s and how many 5s", "session_id": 16703, "sequence_id": 273, "annotations": []}
{"role": "student", "content": "there is one 3 and one 5", "session_id": 16703, "sequence_id": 274, "annotations": []}
{"role": "volunteer", "content": "yes!", "session_id": 16703, "sequence_id": 275, "annotations": []}
{"role": "volunteer", "content": "and now we simplify the equation to have 2^2 instead of 2*2", "session_id": 16703, "sequence_id": 276, "annotations": []}
{"role": "student", "content": "oh ok", "session_id": 16703, "sequence_id": 277, "annotations": []}
{"role": "volunteer", "content": "and that is how you factor a number", "session_id": 16703, "sequence_id": 278, "annotations": []}
{"role": "student", "content": "ok", "session_id": 16703, "sequence_id": 279, "annotations": []}
{"role": "student", "content": "yay:)", "session_id": 16703, "sequence_id": 280, "annotations": []}
{"role": "volunteer", "content": "yayyy :)", "session_id": 16703, "sequence_id": 281, "annotations": []}
{"role": "student", "content": "question 26", "session_id": 16703, "sequence_id": 282, "annotations": []}
{"role": "student", "content": "i can try", "session_id": 16703, "sequence_id": 283, "annotations": []}
{"role": "volunteer", "content": "great!", "session_id": 16703, "sequence_id": 284, "annotations": []}
{"role": "volunteer", "content": "yes great job Sarah!!!", "session_id": 16703, "sequence_id": 285, "annotations": [{"pii_type": "PERSON", "surrogate": "Sarah", "start": 14, "end": 19}]}
{"role": "volunteer", "content": "that is right!!!", "session_id": 16703, "sequence_id": 286, "annotations": []}
{"role": "student", "content": "yay:)", "session_id": 16703, "sequence_id": 287, "annotations": []}
{"role": "student", "content": "can you please help with question 27", "session_id": 16703, "sequence_id": 288, "annotations": []}
{"role": "volunteer", "content": "yes of course :)", "session_id": 16703, "sequence_id": 289, "annotations": []}
{"role": "student", "content": "thanks:)", "session_id": 16703, "sequence_id": 290, "annotations": []}
{"role": "volunteer", "content": "so the first one is asking which numbers from A and B are in BOTH A and B", "session_id": 16703, "sequence_id": 291, "annotations": []}
{"role": "volunteer", "content": "the second one is asking which numbers are in A or B", "session_id": 16703, "sequence_id": 292, "annotations": []}
{"role": "student", "content": "i think its the opposite", "session_id": 16703, "sequence_id": 293, "annotations": []}
{"role": "volunteer", "content": "wait you're right i'm wrong", "session_id": 16703, "sequence_id": 294, "annotations": []}
{"role": "student", "content": "its okay if you are wrong", "session_id": 16703, "sequence_id": 295, "annotations": []}
{"role": "student", "content": "you are my tezcher", "session_id": 16703, "sequence_id": 296, "annotations": []}
{"role": "student", "content": "teacher*", "session_id": 16703, "sequence_id": 297, "annotations": []}
{"role": "volunteer", "content": "yup but thank you for catching my mistake :)", "session_id": 16703, "sequence_id": 298, "annotations": []}
{"role": "student", "content": ":)", "session_id": 16703, "sequence_id": 299, "annotations": []}
{"role": "student", "content": "for a or b do i just write down one of them?", "session_id": 16703, "sequence_id": 300, "annotations": []}
{"role": "volunteer", "content": "yes you only write it once", "session_id": 16703, "sequence_id": 301, "annotations": []}
{"role": "student", "content": "ok", "session_id": 16703, "sequence_id": 302, "annotations": []}
{"role": "volunteer", "content": "don't forget the 2 in the", "session_id": 16703, "sequence_id": 303, "annotations": []}
{"role": "volunteer", "content": "and the 5", "session_id": 16703, "sequence_id": 304, "annotations": []}
{"role": "volunteer", "content": "and the 8", "session_id": 16703, "sequence_id": 305, "annotations": []}
{"role": "volunteer", "content": "great job!!!!!", "session_id": 16703, "sequence_id": 306, "annotations": []}
{"role": "student", "content": "thanks", "session_id": 16703, "sequence_id": 307, "annotations": []}
{"role": "student", "content": "can we do question 28?", "session_id": 16703, "sequence_id": 308, "annotations": []}
{"role": "volunteer", "content": "yeah of course :)", "session_id": 16703, "sequence_id": 309, "annotations": []}
{"role": "student", "content": ":)", "session_id": 16703, "sequence_id": 310, "annotations": []}
{"role": "volunteer", "content": "do u want to try first or me?", "session_id": 16703, "sequence_id": 311, "annotations": []}
{"role": "student", "content": "i can try", "session_id": 16703, "sequence_id": 312, "annotations": []}
{"role": "volunteer", "content": "great :)", "session_id": 16703, "sequence_id": 313, "annotations": []}
{"role": "student", "content": "5-4=1", "session_id": 16703, "sequence_id": 314, "annotations": []}
{"role": "volunteer", "content": "not quite, this one requires order of operations (PEMDAS) so first you have to evaluate what is inside the parentheses", "session_id": 16703, "sequence_id": 315, "annotations": []}
{"role": "volunteer", "content": "so -2-7-(5-4) becomes -2-7-(1)", "session_id": 16703, "sequence_id": 316, "annotations": []}
{"role": "volunteer", "content": "and then you can solve normally", "session_id": 16703, "sequence_id": 317, "annotations": []}
{"role": "student", "content": "yes", "session_id": 16703, "sequence_id": 318, "annotations": []}
{"role": "volunteer", "content": "wait i just realized what u meant by 5-4=1", "session_id": 16703, "sequence_id": 319, "annotations": []}
{"role": "volunteer", "content": "that is my fault", "session_id": 16703, "sequence_id": 320, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 16703, "sequence_id": 321, "annotations": []}
{"role": "student", "content": "its ok", "session_id": 16703, "sequence_id": 322, "annotations": []}
{"role": "volunteer", "content": "i thought u meant the end answer was 1", "session_id": 16703, "sequence_id": 323, "annotations": []}
{"role": "student", "content": "i am not sure what to call you", "session_id": 16703, "sequence_id": 324, "annotations": []}
{"role": "student", "content": "you can let me know please", "session_id": 16703, "sequence_id": 325, "annotations": []}
{"role": "volunteer", "content": "just Ms. Evans is fine :)", "session_id": 16703, "sequence_id": 326, "annotations": [{"pii_type": "PERSON", "surrogate": "Ms. Evans", "start": 5, "end": 14}]}
{"role": "student", "content": "no no", "session_id": 16703, "sequence_id": 327, "annotations": []}
{"role": "student", "content": "i can call you Ms. Ms. Evans instead", "session_id": 16703, "sequence_id": 328, "annotations": [{"pii_type": "PERSON", "surrogate": "Ms. Evans", "start": 19, "end": 28}]}
{"role": "volunteer", "content": "ok that works too :)", "session_id": 16703, "sequence_id": 329, "annotations": []}
{"role": "student", "content": ":)", "session_id": 16703, "sequence_id": 330, "annotations": []}
{"role": "volunteer", "content": "but anyway yes you were right\n5-4=1 :)", "session_id": 16703, "sequence_id": 331, "annotations": []}
{"role": "student", "content": "yes", "session_id": 16703, "sequence_id": 332, "annotations": []}
{"role": "student", "content": "-9", "session_id": 16703, "sequence_id": 333, "annotations": []}
{"role": "student", "content": "i think", "session_id": 16703, "sequence_id": 334, "annotations": []}
{"role": "volunteer", "content": "almost its -10", "session_id": 16703, "sequence_id": 335, "annotations": []}
{"role": "volunteer", "content": "because -2-7 is -9", "session_id": 16703, "sequence_id": 336, "annotations": []}
{"role": "volunteer", "content": "and then -9-1 is -10", "session_id": 16703, "sequence_id": 337, "annotations": []}
{"role": "student", "content": "oh ok", "session_id": 16703, "sequence_id": 338, "annotations": []}
{"role": "student", "content": "is 5 and 6 correct?", "session_id": 16703, "sequence_id": 339, "annotations": []}
{"role": "volunteer", "content": "check number 6 again", "session_id": 16703, "sequence_id": 340, "annotations": []}
{"role": "volunteer", "content": "make sure u multiplied 9*9 instead of adding them", "session_id": 16703, "sequence_id": 341, "annotations": []}
{"role": "student", "content": "now?", "session_id": 16703, "sequence_id": 342, "annotations": []}
{"role": "volunteer", "content": "can you walk me through how u did #5", "session_id": 16703, "sequence_id": 343, "annotations": []}
{"role": "volunteer", "content": "and yes 81 is right for #6 :)", "session_id": 16703, "sequence_id": 344, "annotations": []}
{"role": "student", "content": "okay", "session_id": 16703, "sequence_id": 345, "annotations": []}
{"role": "student", "content": "i know 5 is wrong:)", "session_id": 16703, "sequence_id": 346, "annotations": []}
{"role": "student", "content": "anyways i can do it now", "session_id": 16703, "sequence_id": 347, "annotations": []}
{"role": "student", "content": "2-7=-5", "session_id": 16703, "sequence_id": 348, "annotations": []}
{"role": "volunteer", "content": "yes correct!", "session_id": 16703, "sequence_id": 349, "annotations": []}
{"role": "student", "content": "-5-4=-9", "session_id": 16703, "sequence_id": 350, "annotations": []}
{"role": "volunteer", "content": "yes you're doing great!", "session_id": 16703, "sequence_id": 351, "annotations": []}
{"role": "student", "content": "-5*-9=45", "session_id": 16703, "sequence_id": 352, "annotations": []}
{"role": "volunteer", "content": "yes you're almost there!!!", "session_id": 16703, "sequence_id": 353, "annotations": []}
{"role": "student", "content": "-45", "session_id": 16703, "sequence_id": 354, "annotations": []}
{"role": "volunteer", "content": "yes amazing job!!!", "session_id": 16703, "sequence_id": 355, "annotations": []}
{"role": "volunteer", "content": "you did it all by yourself!!!", "session_id": 16703, "sequence_id": 356, "annotations": []}
{"role": "student", "content": "All because of your help:)", "session_id": 16703, "sequence_id": 357, "annotations": []}
{"role": "volunteer", "content": "aww thank you Sarah :)", "session_id": 16703, "sequence_id": 358, "annotations": [{"pii_type": "PERSON", "surrogate": "Sarah", "start": 14, "end": 19}]}
{"role": "student", "content": ":)", "session_id": 16703, "sequence_id": 359, "annotations": []}
{"role": "student", "content": "can you please check 2 and 3", "session_id": 16703, "sequence_id": 360, "annotations": []}
{"role": "volunteer", "content": "can u walkl me through how u got teh answer for #2", "session_id": 16703, "sequence_id": 361, "annotations": []}
{"role": "volunteer", "content": "and #3 is almost right just look at the negative sign :)", "session_id": 16703, "sequence_id": 362, "annotations": []}
{"role": "volunteer", "content": "hello Sarah?", "session_id": 16703, "sequence_id": 363, "annotations": [{"pii_type": "PERSON", "surrogate": "Sarah", "start": 6, "end": 11}]}
{"role": "student", "content": "yes", "session_id": 16703, "sequence_id": 364, "annotations": []}
{"role": "volunteer", "content": "sorry Sarah*", "session_id": 16703, "sequence_id": 365, "annotations": [{"pii_type": "PERSON", "surrogate": "Sarah", "start": 6, "end": 11}]}
{"role": "student", "content": "i am writing on the board", "session_id": 16703, "sequence_id": 366, "annotations": []}
{"role": "student", "content": "are you able to see", "session_id": 16703, "sequence_id": 367, "annotations": []}
{"role": "volunteer", "content": "oh my fault i didn't see it", "session_id": 16703, "sequence_id": 368, "annotations": []}
{"role": "volunteer", "content": "i was looking at the shared screen", "session_id": 16703, "sequence_id": 369, "annotations": []}
{"role": "student", "content": "its okay:)", "session_id": 16703, "sequence_id": 370, "annotations": []}
{"role": "student", "content": "this is how i got 2", "session_id": 16703, "sequence_id": 371, "annotations": []}
{"role": "volunteer", "content": "so for order of operations (PEMDAS), you have to multiply the 7 and the 9 before you do the -2", "session_id": 16703, "sequence_id": 372, "annotations": []}
{"role": "volunteer", "content": "because order of operations is \n1. parentheses\n2. exponents\n3. multiplication\n4. division\n5. addition\n6. subtraction", "session_id": 16703, "sequence_id": 373, "annotations": []}
{"role": "student", "content": "-65", "session_id": 16703, "sequence_id": 374, "annotations": []}
{"role": "student", "content": "-65?", "session_id": 16703, "sequence_id": 375, "annotations": []}
{"role": "volunteer", "content": "almost, it would be -2-7(-9) then it would be -2-(-63)", "session_id": 16703, "sequence_id": 376, "annotations": []}
{"role": "volunteer", "content": "since we multiplied the 7 and the -9", "session_id": 16703, "sequence_id": 377, "annotations": []}
{"role": "volunteer", "content": "then we would get -2+63 to give us 61", "session_id": 16703, "sequence_id": 378, "annotations": []}
{"role": "student", "content": "oh ok", "session_id": 16703, "sequence_id": 379, "annotations": []}
{"role": "student", "content": "-36 for 4?", "session_id": 16703, "sequence_id": 380, "annotations": []}
{"role": "volunteer", "content": "not quite, it would be -2(-7)-5(-4) to it would become \n-(-14)-(-20)\n14+20\n34", "session_id": 16703, "sequence_id": 381, "annotations": []}
{"role": "student", "content": "oh ok", "session_id": 16703, "sequence_id": 382, "annotations": []}
{"role": "student", "content": "yayyy:)", "session_id": 16703, "sequence_id": 383, "annotations": []}
{"role": "volunteer", "content": "yayyy :) great job for powering through", "session_id": 16703, "sequence_id": 384, "annotations": []}
{"role": "student", "content": "thanks", "session_id": 16703, "sequence_id": 385, "annotations": []}
{"role": "student", "content": "I still have 6 more questions", "session_id": 16703, "sequence_id": 386, "annotations": []}
{"role": "student", "content": "so when is the next time you are free Ms. Ms. Evans?", "session_id": 16703, "sequence_id": 387, "annotations": [{"pii_type": "PERSON", "surrogate": "Ms. Evans", "start": 42, "end": 51}]}
{"role": "volunteer", "content": "i am free all day today except from 11am-2pm", "session_id": 16703, "sequence_id": 388, "annotations": []}
{"role": "volunteer", "content": "Central time", "session_id": 16703, "sequence_id": 389, "annotations": [{"pii_type": "LOCATION", "surrogate": "Central", "start": 0, "end": 7}]}
{"role": "student", "content": "this HW is due this sunday", "session_id": 16703, "sequence_id": 390, "annotations": []}
{"role": "volunteer", "content": "so we can do another session whenever you have the time", "session_id": 16703, "sequence_id": 391, "annotations": []}
{"role": "student", "content": "so i wanna have a next session on friday", "session_id": 16703, "sequence_id": 392, "annotations": []}
{"role": "volunteer", "content": "yup that works for me :)", "session_id": 16703, "sequence_id": 393, "annotations": []}
{"role": "volunteer", "content": "what time do u want to have it?", "session_id": 16703, "sequence_id": 394, "annotations": []}
{"role": "student", "content": "around this time is okay for me", "session_id": 16703, "sequence_id": 395, "annotations": []}
{"role": "volunteer", "content": "ok so 7am on friday?", "session_id": 16703, "sequence_id": 396, "annotations": []}
{"role": "volunteer", "content": "or 9:30 am on friday?", "session_id": 16703, "sequence_id": 397, "annotations": []}
{"role": "student", "content": "oops i just remebered there is a wedding on friday", "session_id": 16703, "sequence_id": 398, "annotations": []}
{"role": "student", "content": "around this time", "session_id": 16703, "sequence_id": 399, "annotations": []}
{"role": "student", "content": "how about saturday?", "session_id": 16703, "sequence_id": 400, "annotations": []}
{"role": "volunteer", "content": "ok so 9:30am on saturady?", "session_id": 16703, "sequence_id": 401, "annotations": []}
{"role": "student", "content": "sure", "session_id": 16703, "sequence_id": 402, "annotations": []}
{"role": "volunteer", "content": "ok great i'll see you then :)", "session_id": 16703, "sequence_id": 403, "annotations": []}
{"role": "student", "content": "okay so you will messege me the same way ?", "session_id": 16703, "sequence_id": 404, "annotations": []}
{"role": "volunteer", "content": "yes i will", "session_id": 16703, "sequence_id": 405, "annotations": []}
{"role": "student", "content": "All right thank you soooo much for all your help Ms. Ms. Evans", "session_id": 16703, "sequence_id": 406, "annotations": [{"pii_type": "PERSON", "surrogate": "Ms. Evans", "start": 53, "end": 62}]}
{"role": "volunteer", "content": "of course Sarah :)", "session_id": 16703, "sequence_id": 407, "annotations": [{"pii_type": "PERSON", "surrogate": "Sarah", "start": 10, "end": 15}]}
{"role": "volunteer", "content": "i'll end the session now bye bye :)", "session_id": 16703, "sequence_id": 408, "annotations": []}
{"role": "student", "content": "I am so happy i found a tutor like you", "session_id": 16703, "sequence_id": 409, "annotations": []}
{"role": "volunteer", "content": "aww thank you :)", "session_id": 16703, "sequence_id": 410, "annotations": []}
{"role": "volunteer", "content": "bye bye now", "session_id": 16703, "sequence_id": 411, "annotations": []}
{"role": "student", "content": ":) Have a good rest of you day", "session_id": 16703, "sequence_id": 412, "annotations": []}
{"role": "student", "content": "bye:)", "session_id": 16703, "sequence_id": 413, "annotations": []}
{"role": "volunteer", "content": "hi Sarah :) i'm ready for our session when you are", "session_id": 16703, "sequence_id": 414, "annotations": [{"pii_type": "PERSON", "surrogate": "Sarah", "start": 3, "end": 8}]}
{"role": "student", "content": "hello Ms. Ms. Evans:) I am not able to join right now  so can we please do our session at 6 pm today please?", "session_id": 16703, "sequence_id": 415, "annotations": [{"pii_type": "PERSON", "surrogate": "Ms. Evans", "start": 10, "end": 19}]}
{"role": "volunteer", "content": "yup 6 works perfectly for me :)", "session_id": 16703, "sequence_id": 416, "annotations": []}
{"role": "volunteer", "content": "i'll see you then!", "session_id": 16703, "sequence_id": 417, "annotations": []}
{"role": "student", "content": "okay thank you so much Tutor Provider.orgMs. Evans", "session_id": 16703, "sequence_id": 418, "annotations": [{"pii_type": "URL", "surrogate": "Tutor Provider.org", "start": 23, "end": 35}, {"pii_type": "PERSON", "surrogate": "Ms. Evans", "start": 35, "end": 44}]}
{"role": "student", "content": "see you then", "session_id": 16703, "sequence_id": 419, "annotations": []}
{"role": "volunteer", "content": "i'm ready for our session whenever you are Sarah :)", "session_id": 16703, "sequence_id": 420, "annotations": [{"pii_type": "PERSON", "surrogate": "Sarah", "start": 43, "end": 48}]}
{"role": "student", "content": "Hi", "session_id": 16703, "sequence_id": 421, "annotations": []}
{"role": "student", "content": "am late", "session_id": 16703, "sequence_id": 422, "annotations": []}
{"role": "student", "content": "i*", "session_id": 16703, "sequence_id": 423, "annotations": []}
{"role": "volunteer", "content": "that's ok :)", "session_id": 16703, "sequence_id": 424, "annotations": []}
{"role": "student", "content": "but i am ready to start now", "session_id": 16703, "sequence_id": 425, "annotations": []}
{"role": "student", "content": ")", "session_id": 16703, "sequence_id": 426, "annotations": []}
{"role": "volunteer", "content": "ok great u can start the session and then i'll pick it up right away", "session_id": 16703, "sequence_id": 427, "annotations": []}
{"role": "student", "content": "ok i am", "session_id": 16703, "sequence_id": 428, "annotations": []}
{"role": "student", "content": "Hello Ms. Ms. Evans", "session_id": 16703, "sequence_id": 429, "annotations": [{"pii_type": "PERSON", "surrogate": "Ms. Evans", "start": 10, "end": 19}]}
{"role": "student", "content": "How are you doing?", "session_id": 16703, "sequence_id": 430, "annotations": []}
{"role": "student", "content": "I needed some help with my Homework", "session_id": 16703, "sequence_id": 431, "annotations": []}
{"role": "student", "content": "Are you available right now?", "session_id": 16703, "sequence_id": 432, "annotations": []}
{"role": "student", "content": "please let me know", "session_id": 16703, "sequence_id": 433, "annotations": []}
{"role": "student", "content": ":)", "session_id": 16703, "sequence_id": 434, "annotations": []}
{"role": "volunteer", "content": "hi Sarah :) i'm sorry but i won't be available tonight or this weekend \ud83d\ude22 i am busy moving into my dorm. but i will be available again starting monday afternoon to help you with your homework again :)", "session_id": 16703, "sequence_id": 435, "annotations": [{"pii_type": "PERSON", "surrogate": "Sarah", "start": 3, "end": 8}]}
{"role": "volunteer", "content": "however i believe in the other tutors at Tutor Provider to help you with this weeks homework so good luck :) you're a smart kid and i know you will do great", "session_id": 16703, "sequence_id": 436, "annotations": []}
{"role": "student", "content": "Okay No problem at all Ms. Ms. Evans. No worries:)\nI will go ahead and take help from the other tutors at Tutor Provider 192.168.1.1)", "session_id": 16703, "sequence_id": 437, "annotations": [{"pii_type": "PERSON", "surrogate": "Ms. Evans", "start": 27, "end": 36}, {"pii_type": "PERSON", "surrogate": "Tutor Provider", "start": 106, "end": 114}, {"pii_type": "IP_ADDRESS", "surrogate": "192.168.1.1", "start": 115, "end": 126}]}
{"role": "student", "content": "Thank you so much for replying:)", "session_id": 16703, "sequence_id": 438, "annotations": []}
{"role": "volunteer", "content": "of course good luck :)", "session_id": 16703, "sequence_id": 439, "annotations": []}
{"role": "student", "content": "Hello Ms. Ms. Evans", "session_id": 16703, "sequence_id": 440, "annotations": [{"pii_type": "PERSON", "surrogate": "Ms. Evans", "start": 10, "end": 19}]}
{"role": "student", "content": "How are you?", "session_id": 16703, "sequence_id": 441, "annotations": []}
{"role": "student", "content": "I needed some help with my homework", "session_id": 16703, "sequence_id": 442, "annotations": []}
{"role": "student", "content": "Are you available right now?", "session_id": 16703, "sequence_id": 443, "annotations": []}
{"role": "student", "content": "please let me know?", "session_id": 16703, "sequence_id": 444, "annotations": []}
{"role": "volunteer", "content": "hi Sarah :)", "session_id": 16703, "sequence_id": 445, "annotations": [{"pii_type": "PERSON", "surrogate": "Sarah", "start": 3, "end": 8}]}
{"role": "volunteer", "content": "yup i am available right now", "session_id": 16703, "sequence_id": 446, "annotations": []}
{"role": "student", "content": ":)", "session_id": 16703, "sequence_id": 447, "annotations": []}
{"role": "student", "content": "Alright", "session_id": 16703, "sequence_id": 448, "annotations": []}
{"role": "student", "content": "should i start the session please?", "session_id": 16703, "sequence_id": 449, "annotations": []}
{"role": "volunteer", "content": "yup whenever your ready", "session_id": 16703, "sequence_id": 450, "annotations": []}
{"role": "student", "content": ":) ok", "session_id": 16703, "sequence_id": 451, "annotations": []}
{"role": "student", "content": "Hello Ms. Ms. Evans", "session_id": 16703, "sequence_id": 452, "annotations": [{"pii_type": "PERSON", "surrogate": "Ms. Evans", "start": 10, "end": 19}]}
{"role": "student", "content": "How are you?", "session_id": 16703, "sequence_id": 453, "annotations": []}
{"role": "student", "content": "I need some help with my homework", "session_id": 16703, "sequence_id": 454, "annotations": []}
{"role": "student", "content": "Are you available right now?", "session_id": 16703, "sequence_id": 455, "annotations": []}
{"role": "student", "content": "please let me know", "session_id": 16703, "sequence_id": 456, "annotations": []}
{"role": "student", "content": "Hi Ms. Ms. Evans", "session_id": 16703, "sequence_id": 457, "annotations": [{"pii_type": "PERSON", "surrogate": "Ms. Evans", "start": 7, "end": 16}]}
{"role": "volunteer", "content": "hi Sarah :)", "session_id": 16703, "sequence_id": 458, "annotations": [{"pii_type": "PERSON", "surrogate": "Sarah", "start": 3, "end": 8}]}
{"role": "volunteer", "content": "i am available right not if you still need help", "session_id": 16703, "sequence_id": 459, "annotations": []}
{"role": "volunteer", "content": "right now*", "session_id": 16703, "sequence_id": 460, "annotations": []}
{"role": "student", "content": "yes Ms. Ms. Evans", "session_id": 16703, "sequence_id": 461, "annotations": [{"pii_type": "PERSON", "surrogate": "Ms. Evans", "start": 8, "end": 17}]}
{"role": "student", "content": "I was waiting", "session_id": 16703, "sequence_id": 462, "annotations": []}
{"role": "student", "content": "I still need help", "session_id": 16703, "sequence_id": 463, "annotations": []}
{"role": "volunteer", "content": "ok great :) then you can start the session and i can pick it right up", "session_id": 16703, "sequence_id": 464, "annotations": []}
{"role": "student", "content": "ok :)", "session_id": 16703, "sequence_id": 465, "annotations": []}
{"role": "student", "content": "Ms. Ms. Evans", "session_id": 16703, "sequence_id": 466, "annotations": [{"pii_type": "PERSON", "surrogate": "Ms. Evans", "start": 4, "end": 13}]}
{"role": "volunteer", "content": "im sorry Sarah i didn't pick it up fast enough", "session_id": 16703, "sequence_id": 467, "annotations": [{"pii_type": "PERSON", "surrogate": "Sarah", "start": 9, "end": 14}]}
{"role": "student", "content": "its okay I will do it again in 3 minuites", "session_id": 16703, "sequence_id": 468, "annotations": []}
{"role": "student", "content": "pick it up please:)", "session_id": 16703, "sequence_id": 469, "annotations": []}
{"role": "volunteer", "content": "ok perfect message me again when you are about to start the session", "session_id": 16703, "sequence_id": 470, "annotations": []}
{"role": "student", "content": "I meant then you can pick it up please:)", "session_id": 16703, "sequence_id": 471, "annotations": []}
{"role": "volunteer", "content": "and yes i will definitely be fast enought this time", "session_id": 16703, "sequence_id": 472, "annotations": []}
{"role": "student", "content": "okay :)", "session_id": 16703, "sequence_id": 473, "annotations": []}
{"role": "student", "content": "Okay I am starting a session now", "session_id": 16703, "sequence_id": 474, "annotations": []}
{"role": "student", "content": "is that okay?", "session_id": 16703, "sequence_id": 475, "annotations": []}
{"role": "volunteer", "content": "yup that is good :)", "session_id": 16703, "sequence_id": 476, "annotations": []}
{"role": "student", "content": "Oh now :( you didnt pick it up", "session_id": 16703, "sequence_id": 477, "annotations": []}
{"role": "volunteer", "content": "i am so sorry Sarah \ud83d\ude2dwhen i clicked on your name it said that someone else had already picked up the session", "session_id": 16703, "sequence_id": 478, "annotations": [{"pii_type": "PERSON", "surrogate": "Sarah", "start": 14, "end": 19}]}
{"role": "student", "content": "Its okay I will see how the other tutor is helping me if he is helping good than i will just work with him for today or else i will messege you again", "session_id": 16703, "sequence_id": 479, "annotations": []}
{"role": "volunteer", "content": "ok that works good with me :) good luck and i know you will do great", "session_id": 16703, "sequence_id": 480, "annotations": []}
{"role": "student", "content": "Okay Thank you so much :)", "session_id": 16703, "sequence_id": 481, "annotations": []}
{"role": "student", "content": "Hi example.comMs. Evans", "session_id": 16703, "sequence_id": 482, "annotations": [{"pii_type": "URL", "surrogate": "example.com", "start": 3, "end": 14}, {"pii_type": "PERSON", "surrogate": "Ms. Evans", "start": 14, "end": 23}]}
{"role": "student", "content": "Ms. Ms. Evans *", "session_id": 16703, "sequence_id": 483, "annotations": [{"pii_type": "PERSON", "surrogate": "Ms. Evans", "start": 4, "end": 13}]}
{"role": "student", "content": "I am back", "session_id": 16703, "sequence_id": 484, "annotations": []}
{"role": "student", "content": "Are you still available?", "session_id": 16703, "sequence_id": 485, "annotations": []}
{"role": "student", "content": "The other coach only had time to help me with one question", "session_id": 16703, "sequence_id": 486, "annotations": []}
{"role": "student", "content": "Can you please help me if you have time?", "session_id": 16703, "sequence_id": 487, "annotations": []}
{"role": "volunteer", "content": "yup i'm still available :)", "session_id": 16703, "sequence_id": 488, "annotations": []}
{"role": "volunteer", "content": "and this time i promise i will be faster and pick up the session", "session_id": 16703, "sequence_id": 489, "annotations": []}
{"role": "student", "content": "okay thanks :)", "session_id": 16703, "sequence_id": 490, "annotations": []}
{"role": "student", "content": "i am about to start the session now", "session_id": 16703, "sequence_id": 491, "annotations": []}
{"role": "student", "content": "Good Morning Ms. Ms. Evans", "session_id": 16703, "sequence_id": 492, "annotations": [{"pii_type": "PERSON", "surrogate": "Ms. Evans", "start": 17, "end": 26}]}
{"role": "student", "content": "How are you?", "session_id": 16703, "sequence_id": 493, "annotations": []}
{"role": "student", "content": "I need some help with my homework", "session_id": 16703, "sequence_id": 494, "annotations": []}
{"role": "student", "content": "Are you available to help right now?", "session_id": 16703, "sequence_id": 495, "annotations": []}
{"role": "student", "content": "please let me know", "session_id": 16703, "sequence_id": 496, "annotations": []}
{"role": "volunteer", "content": "hi haleema :) i'm sorry but i won't be able to help you today because I have class. However I will be available tomorrow and weekends. But for now I have full faith in the other tutors here at Sarah :)", "session_id": 16703, "sequence_id": 497, "annotations": [{"pii_type": "PERSON", "surrogate": "Sarah", "start": 193, "end": 198}]}
{"role": "student", "content": "Ok Ms. Ms. Evans", "session_id": 16703, "sequence_id": 498, "annotations": [{"pii_type": "PERSON", "surrogate": "Ms. Evans", "start": 7, "end": 16}]}
{"role": "student", "content": "No problem at all", "session_id": 16703, "sequence_id": 499, "annotations": []}
{"role": "student", "content": "i will see tomorrow or which other day i need help", "session_id": 16703, "sequence_id": 500, "annotations": []}
{"role": "student", "content": "i will let you know", "session_id": 16703, "sequence_id": 501, "annotations": []}
{"role": "student", "content": "No worries at all :)", "session_id": 16703, "sequence_id": 502, "annotations": []}
{"role": "student", "content": "Hi Ms. Ms. Evans", "session_id": 16703, "sequence_id": 503, "annotations": [{"pii_type": "PERSON", "surrogate": "Ms. Evans", "start": 7, "end": 16}]}
{"role": "student", "content": "How are you", "session_id": 16703, "sequence_id": 504, "annotations": []}
{"role": "student", "content": "I need some help with my homework", "session_id": 16703, "sequence_id": 505, "annotations": []}
{"role": "student", "content": "are you available to help right now?", "session_id": 16703, "sequence_id": 506, "annotations": []}
{"role": "student", "content": "please let me know", "session_id": 16703, "sequence_id": 507, "annotations": []}
{"role": "student", "content": "hello Ms. Ms. Evans", "session_id": 16703, "sequence_id": 508, "annotations": [{"pii_type": "PERSON", "surrogate": "Ms. Evans", "start": 10, "end": 19}]}
{"role": "student", "content": "how are you?", "session_id": 16703, "sequence_id": 509, "annotations": []}
{"role": "student", "content": "i need help with my homework \nare you available right now ? please let me know", "session_id": 16703, "sequence_id": 510, "annotations": []}
{"role": "volunteer", "content": "hi Sarah i'm sorry i couldn't respond to your previous messages but i'm here now and i can help you for as long as u need me to :)", "session_id": 16703, "sequence_id": 511, "annotations": [{"pii_type": "PERSON", "surrogate": "Sarah", "start": 3, "end": 8}]}
{"role": "student", "content": "No problem Ms. Ms. Evans\nis it okay after 20 minutes please ?", "session_id": 16703, "sequence_id": 512, "annotations": [{"pii_type": "PERSON", "surrogate": "Ms. Evans", "start": 15, "end": 24}]}
{"role": "student", "content": "or as soon as i am ready i will messege you please", "session_id": 16703, "sequence_id": 513, "annotations": []}
{"role": "volunteer", "content": "yeah of course :) just message me when you're ready", "session_id": 16703, "sequence_id": 514, "annotations": []}
{"role": "student", "content": "thank you so much Ms. Ms. Evans :)", "session_id": 16703, "sequence_id": 515, "annotations": [{"pii_type": "PERSON", "surrogate": "Ms. Evans", "start": 22, "end": 31}]}
{"role": "student", "content": "Ms. Ms. Evans I am ready", "session_id": 16703, "sequence_id": 516, "annotations": [{"pii_type": "PERSON", "surrogate": "Ms. Evans", "start": 4, "end": 13}]}
{"role": "student", "content": "please let me know whenever you are ready", "session_id": 16703, "sequence_id": 517, "annotations": []}
{"role": "volunteer", "content": "i'm available now too", "session_id": 16703, "sequence_id": 518, "annotations": []}
{"role": "student", "content": "thank you Ms. Ms. Evans for waiting for me i am starting a session now please answer it", "session_id": 16703, "sequence_id": 519, "annotations": [{"pii_type": "PERSON", "surrogate": "Ms. Evans", "start": 14, "end": 23}]}
{"role": "student", "content": "Please say ok whenever you are ready to answer or else someone else will pick it up", "session_id": 16703, "sequence_id": 520, "annotations": []}
{"role": "volunteer", "content": "yup i'm ready now", "session_id": 16703, "sequence_id": 521, "annotations": []}
{"role": "student", "content": "ok", "session_id": 16703, "sequence_id": 522, "annotations": []}
{"role": "student", "content": "Hello Ms. Ms. Evans :)", "session_id": 16703, "sequence_id": 523, "annotations": [{"pii_type": "PERSON", "surrogate": "Ms. Evans", "start": 10, "end": 19}]}
{"role": "student", "content": "How are you?", "session_id": 16703, "sequence_id": 524, "annotations": []}
{"role": "student", "content": "Are you available to help me right now \nPlease let me know", "session_id": 16703, "sequence_id": 525, "annotations": []}
{"role": "volunteer", "content": "hi Sarah :) i finally have my computer back so i can help you now if you still have time", "session_id": 16703, "sequence_id": 526, "annotations": [{"pii_type": "PERSON", "surrogate": "Sarah", "start": 3, "end": 8}]}
{"role": "student", "content": "yup", "session_id": 16703, "sequence_id": 527, "annotations": []}
{"role": "student", "content": "just 2 minuites please", "session_id": 16703, "sequence_id": 528, "annotations": []}
{"role": "volunteer", "content": "that's cool just start the session whenever your ready", "session_id": 16703, "sequence_id": 529, "annotations": []}
{"role": "student", "content": "yup", "session_id": 16703, "sequence_id": 530, "annotations": []}
{"role": "student", "content": "I am ready", "session_id": 16703, "sequence_id": 531, "annotations": []}
{"role": "student", "content": "i am startting now", "session_id": 16703, "sequence_id": 532, "annotations": []}
{"role": "student", "content": "Hello Ms. Ms. Evans \nHow are you doing?", "session_id": 16703, "sequence_id": 533, "annotations": [{"pii_type": "PERSON", "surrogate": "Ms. Evans", "start": 10, "end": 19}]}
{"role": "student", "content": "I need help with my homework\nare you available to help me right now", "session_id": 16703, "sequence_id": 534, "annotations": []}
{"role": "student", "content": "Please let me know", "session_id": 16703, "sequence_id": 535, "annotations": []}
{"role": "volunteer", "content": "hi Sarah :) i'm sorry for the late reply i was in class. i'm sorry but i won't be able to help you today :( but i believe in the other tutors at Tutor Provider to be able to help you :)", "session_id": 16703, "sequence_id": 536, "annotations": [{"pii_type": "PERSON", "surrogate": "Sarah", "start": 3, "end": 8}]}
{"role": "student", "content": "Okay Ms. Ms. Evans No problem at all.\nThank you for letting me know :)", "session_id": 16703, "sequence_id": 537, "annotations": [{"pii_type": "PERSON", "surrogate": "Ms. Evans", "start": 9, "end": 18}]}
{"role": "student", "content": "Hello Ms. Ms. Evans \nHow are you doing?", "session_id": 16703, "sequence_id": 538, "annotations": [{"pii_type": "PERSON", "surrogate": "Ms. Evans", "start": 10, "end": 19}]}
{"role": "student", "content": "I need some help with my homework", "session_id": 16703, "sequence_id": 539, "annotations": []}
{"role": "student", "content": "Are you available right now ?", "session_id": 16703, "sequence_id": 540, "annotations": []}
{"role": "student", "content": "please let me know :)", "session_id": 16703, "sequence_id": 541, "annotations": []}
{"role": "volunteer", "content": "hi Sarah :) i'm available now if you still have time/need help", "session_id": 16703, "sequence_id": 542, "annotations": [{"pii_type": "PERSON", "surrogate": "Sarah", "start": 3, "end": 8}]}
{"role": "student", "content": "yes pleaaase Ms. Ms. Evans I need help", "session_id": 16703, "sequence_id": 543, "annotations": [{"pii_type": "PERSON", "surrogate": "Ms. Evans", "start": 17, "end": 26}]}
{"role": "student", "content": "Should i start a session please", "session_id": 16703, "sequence_id": 544, "annotations": []}
{"role": "volunteer", "content": "yes you can start the session now :)", "session_id": 16703, "sequence_id": 545, "annotations": []}
{"role": "student", "content": "i am starting right now :0", "session_id": 16703, "sequence_id": 546, "annotations": []}
{"role": "student", "content": "Hello Ms. Ms. Evans \nHow are you?", "session_id": 16703, "sequence_id": 547, "annotations": [{"pii_type": "PERSON", "surrogate": "Ms. Evans", "start": 10, "end": 19}]}
{"role": "student", "content": "I am so sorry I wasn't able to messge you at 11:00am", "session_id": 16703, "sequence_id": 548, "annotations": []}
{"role": "student", "content": "i am actually a little busy right now \nas soon as i get free i will messege you", "session_id": 16703, "sequence_id": 549, "annotations": []}
{"role": "student", "content": "Hello Ms. Ms. Evans \nHow are you?", "session_id": 16703, "sequence_id": 550, "annotations": [{"pii_type": "PERSON", "surrogate": "Ms. Evans", "start": 10, "end": 19}]}
{"role": "student", "content": "My sister needs some help with her math homework \nare you available to help right now", "session_id": 16703, "sequence_id": 551, "annotations": []}
{"role": "student", "content": "Please let me know :)", "session_id": 16703, "sequence_id": 552, "annotations": []}
{"role": "volunteer", "content": "hi sorry i'm available now if u still have the time/need help", "session_id": 16703, "sequence_id": 553, "annotations": []}
{"role": "student", "content": "Hi Ms. Ms. Evans", "session_id": 16703, "sequence_id": 554, "annotations": [{"pii_type": "PERSON", "surrogate": "Ms. Evans", "start": 7, "end": 16}]}
{"role": "student", "content": "its okay \nBut are you availble now to help me", "session_id": 16703, "sequence_id": 555, "annotations": []}
{"role": "student", "content": "I need help right now \nPLlease let me know", "session_id": 16703, "sequence_id": 556, "annotations": []}
{"role": "volunteer", "content": "hi Sarah i'm sorry i'm here now do you still need help", "session_id": 16703, "sequence_id": 557, "annotations": [{"pii_type": "PERSON", "surrogate": "Sarah", "start": 3, "end": 8}]}
{"role": "student", "content": "I am so sorry Ms. Ms. Evans", "session_id": 16703, "sequence_id": 558, "annotations": [{"pii_type": "PERSON", "surrogate": "Ms. Evans", "start": 18, "end": 27}]}
{"role": "student", "content": "I just saw your messege, I don't need help anymore right now but i will need help later so i will messege you", "session_id": 16703, "sequence_id": 559, "annotations": []}
{"role": "volunteer", "content": "ok cool :)", "session_id": 16703, "sequence_id": 560, "annotations": []}
{"role": "student", "content": ":) thanks", "session_id": 16703, "sequence_id": 561, "annotations": []}
{"role": "student", "content": "Hello", "session_id": 16703, "sequence_id": 562, "annotations": []}
{"role": "student", "content": "Ms. Ms. Evans how are you ?", "session_id": 16703, "sequence_id": 563, "annotations": [{"pii_type": "PERSON", "surrogate": "Ms. Evans", "start": 4, "end": 13}]}
{"role": "volunteer", "content": "hi Sarah i'm doing good how are you :)", "session_id": 16703, "sequence_id": 564, "annotations": [{"pii_type": "PERSON", "surrogate": "Sarah", "start": 3, "end": 8}]}
{"role": "student", "content": "Are you availble right now to help?", "session_id": 16703, "sequence_id": 565, "annotations": []}
{"role": "student", "content": "I am good?", "session_id": 16703, "sequence_id": 566, "annotations": []}
{"role": "student", "content": "i am good :)", "session_id": 16703, "sequence_id": 567, "annotations": []}
{"role": "student", "content": "My sister needs some help with her math homework \nCan you please help her?", "session_id": 16703, "sequence_id": 568, "annotations": []}
{"role": "volunteer", "content": "yeah i can help you :)", "session_id": 16703, "sequence_id": 569, "annotations": []}
{"role": "student", "content": "Thank you so much Ms. Ms. Evans :)", "session_id": 16703, "sequence_id": 570, "annotations": [{"pii_type": "PERSON", "surrogate": "Ms. Evans", "start": 22, "end": 31}]}
{"role": "student", "content": "I am starting a session please pick it up", "session_id": 16703, "sequence_id": 571, "annotations": []}
{"role": "volunteer", "content": "of course :)", "session_id": 16703, "sequence_id": 572, "annotations": []}
{"role": "student", "content": "Hello Ms. Ms. Evans", "session_id": 16703, "sequence_id": 573, "annotations": [{"pii_type": "PERSON", "surrogate": "Ms. Evans", "start": 10, "end": 19}]}
{"role": "student", "content": "How are you?\nHow is everything?\nI need help with my Homework", "session_id": 16703, "sequence_id": 574, "annotations": []}
{"role": "student", "content": "Are you available right now?\nPlease let me know:) Thanks", "session_id": 16703, "sequence_id": 575, "annotations": []}
{"role": "volunteer", "content": "hi Sarah :) i'm sorry but i'm not available right now, but I will be available in 30 minutes if you can wait that long", "session_id": 16703, "sequence_id": 576, "annotations": [{"pii_type": "PERSON", "surrogate": "Sarah", "start": 3, "end": 8}]}
{"role": "volunteer", "content": "But i understand if you can't and I have full faith in the other tutors here at Tutor Provider :)", "session_id": 16703, "sequence_id": 577, "annotations": []}
{"role": "student", "content": "Yes No worries I can wait for 30 minutes", "session_id": 16703, "sequence_id": 578, "annotations": []}
{"role": "volunteer", "content": "HI haleema i'm so sorry to have to do this to you but i just remembered i have a prior arrangement i have to attend :( i'm so sorry", "session_id": 16703, "sequence_id": 579, "annotations": []}
{"role": "student", "content": "Its Okay no worries192.168.1.1)'", "session_id": 16703, "sequence_id": 580, "annotations": [{"pii_type": "IP_ADDRESS", "surrogate": "192.168.1.1", "start": 19, "end": 30}]}
{"role": "student", "content": "hiiiiiiii I need help with number 4 if that's okay", "session_id": 16993, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "hi, of course. give me one moment to catch up", "session_id": 16993, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "no problem take your time", "session_id": 16993, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 16993, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "im ready", "session_id": 16993, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 16993, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "okay", "session_id": 16993, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "Yeah, so", "session_id": 16993, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "um", "session_id": 16993, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "first", "session_id": 16993, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "it's good to know", "session_id": 16993, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "just what the, what are the equations, right, for the trapezoidal rule.", "session_id": 16993, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "Um, we can just say big uh is equal 2.", "session_id": 16993, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "the sum", "session_id": 16993, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "of I equals.", "session_id": 16993, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "12,", "session_id": 16993, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "N", "session_id": 16993, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "of", "session_id": 16993, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "F", "session_id": 16993, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "X", "session_id": 16993, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "I", "session_id": 16993, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "plus just the average of XI and its subsequent", "session_id": 16993, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "post one", "session_id": 16993, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "one", "session_id": 16993, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "over", "session_id": 16993, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "2", "session_id": 16993, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "uh delta X.", "session_id": 16993, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "right? So we have to um", "session_id": 16993, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "and here they basically give us the steps", "session_id": 16993, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "It's at uh 1.5 increments.", "session_id": 16993, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "So your um", "session_id": 16993, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "Delta T I guess here.", "session_id": 16993, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "is just the um", "session_id": 16993, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "the difference between", "session_id": 16993, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "these two, these two, where each increment is 1.5.", "session_id": 16993, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "So delta T would just be 1.5.", "session_id": 16993, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "right? And your small F here is just equal to your velocity.", "session_id": 16993, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "The only caveat is um", "session_id": 16993, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "they give you the starting elevation.", "session_id": 16993, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "So if we say s", "session_id": 16993, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "is the um position function.", "session_id": 16993, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "You would say F(X1) +", "session_id": 16993, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "the sum", "session_id": 16993, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "from i equals", "session_id": 16993, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "1", "session_id": 16993, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "2", "session_id": 16993, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "as we would say it was 6 steps.", "session_id": 16993, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "6 steps", "session_id": 16993, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "of", "session_id": 16993, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "I", "session_id": 16993, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "X I", "session_id": 16993, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "plus V of XI + 1.", "session_id": 16993, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "over 2", "session_id": 16993, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "Delta T", "session_id": 16993, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "T", "session_id": 16993, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "And you just have to consider each step.", "session_id": 16993, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "right? So there's", "session_id": 16993, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "one", "session_id": 16993, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "23456 steps.", "session_id": 16993, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "Does that make sense", "session_id": 16993, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "I know I went a little fast", "session_id": 16993, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "Um, if you need me to explain anything.", "session_id": 16993, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "a little bit more, I can try to give more examples. I can", "session_id": 16993, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "um,", "session_id": 16993, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "I can explain to you how the trapezoid rule is effective.", "session_id": 16993, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "you know, what's the purpose of it? How does it actually work?", "session_id": 16993, "sequence_id": 65, "annotations": []}
{"role": "student", "content": "It makes sense I just cant see the numbers on your bottow drawing good", "session_id": 16993, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "Oh, you need me to expand my formula?", "session_id": 16993, "sequence_id": 67, "annotations": []}
{"role": "student", "content": "yes please", "session_id": 16993, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "Is that better", "session_id": 16993, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "And also, I, um", "session_id": 16993, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "I see I got this, this, this X shouldn't be here. It's supposed to be a T.", "session_id": 16993, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "And let me just rewrite this.", "session_id": 16993, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "So it should be", "session_id": 16993, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "um T of I and your TI + 1, right? Basically, so it's your current, whichever um", "session_id": 16993, "sequence_id": 74, "annotations": []}
{"role": "volunteer", "content": "instance you're starting from, right, whichever, uh tea you're starting from, and then plus the next increment.", "session_id": 16993, "sequence_id": 75, "annotations": []}
{"role": "student", "content": "ok ok", "session_id": 16993, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 16993, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "If you want", "session_id": 16993, "sequence_id": 78, "annotations": []}
{"role": "student", "content": "and this is all ddor part a so fart", "session_id": 16993, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "I can also describe, that's a little too big.", "session_id": 16993, "sequence_id": 80, "annotations": []}
{"role": "student", "content": "far", "session_id": 16993, "sequence_id": 81, "annotations": []}
{"role": "volunteer", "content": "and this is all for", "session_id": 16993, "sequence_id": 82, "annotations": []}
{"role": "volunteer", "content": "parts so far. Yeah. And that's just for A. Yeah, this is just for A.", "session_id": 16993, "sequence_id": 83, "annotations": []}
{"role": "volunteer", "content": "Um.", "session_id": 16993, "sequence_id": 84, "annotations": []}
{"role": "volunteer", "content": "but if you've seen how", "session_id": 16993, "sequence_id": 85, "annotations": []}
{"role": "volunteer", "content": "the trapezoid rule works.", "session_id": 16993, "sequence_id": 86, "annotations": []}
{"role": "student", "content": "ok im just making sure bc im writing this on my paper", "session_id": 16993, "sequence_id": 87, "annotations": []}
{"role": "volunteer", "content": "um, as opposed to like a right rhyming sums or left.", "session_id": 16993, "sequence_id": 88, "annotations": []}
{"role": "volunteer", "content": "Are you sure we can", "session_id": 16993, "sequence_id": 89, "annotations": []}
{"role": "volunteer", "content": "Yeah.", "session_id": 16993, "sequence_id": 90, "annotations": []}
{"role": "volunteer", "content": "we can use", "session_id": 16993, "sequence_id": 91, "annotations": []}
{"role": "volunteer", "content": "say", "session_id": 16993, "sequence_id": 92, "annotations": []}
{"role": "volunteer", "content": "X", "session_id": 16993, "sequence_id": 93, "annotations": []}
{"role": "volunteer", "content": "I", "session_id": 16993, "sequence_id": 94, "annotations": []}
{"role": "volunteer", "content": "all the way to", "session_id": 16993, "sequence_id": 95, "annotations": []}
{"role": "volunteer", "content": "XI + 2.", "session_id": 16993, "sequence_id": 96, "annotations": []}
{"role": "volunteer", "content": "XI + 1.", "session_id": 16993, "sequence_id": 97, "annotations": []}
{"role": "volunteer", "content": "So as you know, um, or you may know that Riemann sums and trapezoid rule are all just approximations.", "session_id": 16993, "sequence_id": 98, "annotations": []}
{"role": "volunteer", "content": "right? They're just attempts to", "session_id": 16993, "sequence_id": 99, "annotations": []}
{"role": "volunteer", "content": "uh, figure out the actual value below the curve, right? The area below the curve, which is very similar to what you do with derivatives.", "session_id": 16993, "sequence_id": 100, "annotations": []}
{"role": "volunteer", "content": "Right? Derivatives we had to take the limits, right, to approximate", "session_id": 16993, "sequence_id": 101, "annotations": []}
{"role": "volunteer", "content": "uh", "session_id": 16993, "sequence_id": 102, "annotations": []}
{"role": "volunteer", "content": "well, we took uh", "session_id": 16993, "sequence_id": 103, "annotations": []}
{"role": "volunteer", "content": "steps to figure out what the", "session_id": 16993, "sequence_id": 104, "annotations": []}
{"role": "volunteer", "content": "um I don't know if you remember, if you know the air function.", "session_id": 16993, "sequence_id": 105, "annotations": []}
{"role": "volunteer", "content": "So for the dri a derivative, you would have your function and then you would", "session_id": 16993, "sequence_id": 106, "annotations": []}
{"role": "volunteer", "content": "find that you'd find a point", "session_id": 16993, "sequence_id": 107, "annotations": []}
{"role": "volunteer", "content": "you would take the tangent out of the function at that point. And then if you wanted to, based on that tangent, try to and not knowing what the actual value of what the actual function is. You just have a curve and try to approximate the next value", "session_id": 16993, "sequence_id": 108, "annotations": []}
{"role": "volunteer", "content": "on the curve", "session_id": 16993, "sequence_id": 109, "annotations": []}
{"role": "volunteer", "content": "you would have um", "session_id": 16993, "sequence_id": 110, "annotations": []}
{"role": "volunteer", "content": "uh let's say you have the function", "session_id": 16993, "sequence_id": 111, "annotations": []}
{"role": "volunteer", "content": "of X2, right, the point X1, you have X1 is your original point and you have X2 is the point you want to know.", "session_id": 16993, "sequence_id": 112, "annotations": []}
{"role": "volunteer", "content": "You could say that F of X2 is equal to F of X1.", "session_id": 16993, "sequence_id": 113, "annotations": []}
{"role": "volunteer", "content": "Um, let me get some space", "session_id": 16993, "sequence_id": 114, "annotations": []}
{"role": "volunteer", "content": "By the way, are you following along? I don't wanna just keep running and running without, you know, you kind of being with me.", "session_id": 16993, "sequence_id": 115, "annotations": []}
{"role": "volunteer", "content": "It's not really helpful to either of us.", "session_id": 16993, "sequence_id": 116, "annotations": []}
{"role": "student", "content": "no yeah im following", "session_id": 16993, "sequence_id": 117, "annotations": []}
{"role": "volunteer", "content": "right?", "session_id": 16993, "sequence_id": 118, "annotations": []}
{"role": "volunteer", "content": "So, um", "session_id": 16993, "sequence_id": 119, "annotations": []}
{"role": "volunteer", "content": "we have this approximation. What we're saying is that if we have some tangent line Y with some function F.", "session_id": 16993, "sequence_id": 120, "annotations": []}
{"role": "volunteer", "content": "right, that we could say why one", "session_id": 16993, "sequence_id": 121, "annotations": []}
{"role": "volunteer", "content": "is equal to F of X1, right? So we're saying that the tangent to the point.", "session_id": 16993, "sequence_id": 122, "annotations": []}
{"role": "volunteer", "content": "X1, F of X1.", "session_id": 16993, "sequence_id": 123, "annotations": []}
{"role": "volunteer", "content": "right?", "session_id": 16993, "sequence_id": 124, "annotations": []}
{"role": "volunteer", "content": "is, you know, that Y1 is the same at that point, right? We're saying that the tangent value is the same.", "session_id": 16993, "sequence_id": 125, "annotations": []}
{"role": "volunteer", "content": "But if we know the tangent function", "session_id": 16993, "sequence_id": 126, "annotations": []}
{"role": "volunteer", "content": "right, we say Y is equal to", "session_id": 16993, "sequence_id": 127, "annotations": []}
{"role": "volunteer", "content": "um the slope, which you can just say is M", "session_id": 16993, "sequence_id": 128, "annotations": []}
{"role": "volunteer", "content": "uh", "session_id": 16993, "sequence_id": 129, "annotations": []}
{"role": "volunteer", "content": "B +", "session_id": 16993, "sequence_id": 130, "annotations": []}
{"role": "volunteer", "content": "X", "session_id": 16993, "sequence_id": 131, "annotations": []}
{"role": "volunteer", "content": "right? So this would be the line, the tangent line.", "session_id": 16993, "sequence_id": 132, "annotations": []}
{"role": "volunteer", "content": "Actually, hold on, that's wrong.", "session_id": 16993, "sequence_id": 133, "annotations": []}
{"role": "volunteer", "content": "I forgot you got a", "session_id": 16993, "sequence_id": 134, "annotations": []}
{"role": "volunteer", "content": "you gotta take your vertices X minus X1 plus.", "session_id": 16993, "sequence_id": 135, "annotations": []}
{"role": "volunteer", "content": "Y1", "session_id": 16993, "sequence_id": 136, "annotations": []}
{"role": "volunteer", "content": "right? So this would be the tangent line", "session_id": 16993, "sequence_id": 137, "annotations": []}
{"role": "volunteer", "content": "at the point X1Y1. And this is derived from the um point form, which is Y minus Y1 is equal to MX minus X1, right? All they did was just move Y1 over.", "session_id": 16993, "sequence_id": 138, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 16993, "sequence_id": 139, "annotations": []}
{"role": "volunteer", "content": "And if we", "session_id": 16993, "sequence_id": 140, "annotations": []}
{"role": "volunteer", "content": "you know, use this funk, use this value, we would say that Y is equal to M", "session_id": 16993, "sequence_id": 141, "annotations": []}
{"role": "volunteer", "content": "X minus X1 plus F of X1.", "session_id": 16993, "sequence_id": 142, "annotations": []}
{"role": "volunteer", "content": "OK? And the next step,", "session_id": 16993, "sequence_id": 143, "annotations": []}
{"role": "volunteer", "content": "will be to try to figure out what is this M? What does that mean?", "session_id": 16993, "sequence_id": 144, "annotations": []}
{"role": "volunteer", "content": "right? So we know", "session_id": 16993, "sequence_id": 145, "annotations": []}
{"role": "volunteer", "content": "M is", "session_id": 16993, "sequence_id": 146, "annotations": []}
{"role": "volunteer", "content": "well, you know what the derivative is, but it's just the same what Delta is just the change in why.", "session_id": 16993, "sequence_id": 147, "annotations": []}
{"role": "volunteer", "content": "over the change in X.", "session_id": 16993, "sequence_id": 148, "annotations": []}
{"role": "volunteer", "content": "2 minus X1.", "session_id": 16993, "sequence_id": 149, "annotations": []}
{"role": "volunteer", "content": "And we know, and we can say", "session_id": 16993, "sequence_id": 150, "annotations": []}
{"role": "volunteer", "content": "that it's F(X2)", "session_id": 16993, "sequence_id": 151, "annotations": []}
{"role": "volunteer", "content": "minus FOX1 because Y1 is just equal to F of X1.", "session_id": 16993, "sequence_id": 152, "annotations": []}
{"role": "volunteer", "content": "over X2.", "session_id": 16993, "sequence_id": 153, "annotations": []}
{"role": "volunteer", "content": "minus X1", "session_id": 16993, "sequence_id": 154, "annotations": []}
{"role": "volunteer", "content": "right? So now the question becomes", "session_id": 16993, "sequence_id": 155, "annotations": []}
{"role": "volunteer", "content": "um, what is F of X2.", "session_id": 16993, "sequence_id": 156, "annotations": []}
{"role": "volunteer", "content": "And how is it related", "session_id": 16993, "sequence_id": 157, "annotations": []}
{"role": "volunteer", "content": "to X1? Can we use X1 to approximate F of X2 if we don't know what F of X is.", "session_id": 16993, "sequence_id": 158, "annotations": []}
{"role": "volunteer", "content": "right? Like the only, the only information we have about FFX", "session_id": 16993, "sequence_id": 159, "annotations": []}
{"role": "volunteer", "content": "is the point X1F of X1.", "session_id": 16993, "sequence_id": 160, "annotations": []}
{"role": "volunteer", "content": "and that it's occur and then we have a tangent line.", "session_id": 16993, "sequence_id": 161, "annotations": []}
{"role": "volunteer", "content": "That's the only information we have about the function F", "session_id": 16993, "sequence_id": 162, "annotations": []}
{"role": "volunteer", "content": "Um, and knowing that we want to know, is there, is it possible to find the value F of X2.", "session_id": 16993, "sequence_id": 163, "annotations": []}
{"role": "volunteer", "content": "OK.", "session_id": 16993, "sequence_id": 164, "annotations": []}
{"role": "volunteer", "content": "So going back to this equation, we say FX2 what is is equal to FFX1, which is just, you know, Y1", "session_id": 16993, "sequence_id": 165, "annotations": []}
{"role": "volunteer", "content": "We're saying plus some uh delta X", "session_id": 16993, "sequence_id": 166, "annotations": []}
{"role": "volunteer", "content": "times", "session_id": 16993, "sequence_id": 167, "annotations": []}
{"role": "volunteer", "content": "the slope", "session_id": 16993, "sequence_id": 168, "annotations": []}
{"role": "volunteer", "content": "which really is just some kind of", "session_id": 16993, "sequence_id": 169, "annotations": []}
{"role": "student", "content": "ok ok", "session_id": 16993, "sequence_id": 170, "annotations": []}
{"role": "volunteer", "content": "right, which really this, this is actually just some kind of like error function.", "session_id": 16993, "sequence_id": 171, "annotations": []}
{"role": "student", "content": "ohhh", "session_id": 16993, "sequence_id": 172, "annotations": []}
{"role": "volunteer", "content": "right? Because we know that um", "session_id": 16993, "sequence_id": 173, "annotations": []}
{"role": "volunteer", "content": "that", "session_id": 16993, "sequence_id": 174, "annotations": []}
{"role": "volunteer", "content": "Y2 cannot equal F of X2.", "session_id": 16993, "sequence_id": 175, "annotations": []}
{"role": "volunteer", "content": "because the definition of a tangent line", "session_id": 16993, "sequence_id": 176, "annotations": []}
{"role": "volunteer", "content": "means that it only intersects the function at one point.", "session_id": 16993, "sequence_id": 177, "annotations": []}
{"role": "volunteer", "content": "So by definition, Y2 can't, there can't be a second", "session_id": 16993, "sequence_id": 178, "annotations": []}
{"role": "volunteer", "content": "point", "session_id": 16993, "sequence_id": 179, "annotations": []}
{"role": "volunteer", "content": "that the tangent line touches on the function because by that point, it wouldn't be a tangent line anymore. It'd be a secant line.", "session_id": 16993, "sequence_id": 180, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 16993, "sequence_id": 181, "annotations": []}
{"role": "volunteer", "content": "right", "session_id": 16993, "sequence_id": 182, "annotations": []}
{"role": "volunteer", "content": "So, um", "session_id": 16993, "sequence_id": 183, "annotations": []}
{"role": "volunteer", "content": "and what what happens is, is that if you can approximate", "session_id": 16993, "sequence_id": 184, "annotations": []}
{"role": "volunteer", "content": "this delta X, if you take whatever step you have, you would find that, um, let's say F of X2", "session_id": 16993, "sequence_id": 185, "annotations": []}
{"role": "volunteer", "content": "is equal to Y1, right? The, the point we know about the, the height of the point we know about, plus some", "session_id": 16993, "sequence_id": 186, "annotations": []}
{"role": "volunteer", "content": "uh", "session_id": 16993, "sequence_id": 187, "annotations": []}
{"role": "volunteer", "content": "I'm sorry, let me do that again. This is actually", "session_id": 16993, "sequence_id": 188, "annotations": []}
{"role": "volunteer", "content": "not Y2. This would be Y1, right? So you say FFX2 because we know what F of X1 is in relation to why we can approximate say FFX2 is equal to Y2, let's say plus some error value.", "session_id": 16993, "sequence_id": 189, "annotations": []}
{"role": "volunteer", "content": "right? Cause we know Y2 can't equal XF X2.", "session_id": 16993, "sequence_id": 190, "annotations": []}
{"role": "volunteer", "content": "but if we, depending on how big our delta X is, we know that we can, um, kind of approximate", "session_id": 16993, "sequence_id": 191, "annotations": []}
{"role": "volunteer", "content": "this value. This in all this right here is just an approximation.", "session_id": 16993, "sequence_id": 192, "annotations": []}
{"role": "volunteer", "content": "right? Because we want to know what is this error value?", "session_id": 16993, "sequence_id": 193, "annotations": []}
{"role": "volunteer", "content": "And we say it's an error value because we know, um, if you look back at the graph", "session_id": 16993, "sequence_id": 194, "annotations": []}
{"role": "volunteer", "content": "right, we have Y2 here.", "session_id": 16993, "sequence_id": 195, "annotations": []}
{"role": "volunteer", "content": "and this is F of X2, and you see there's this gap here.", "session_id": 16993, "sequence_id": 196, "annotations": []}
{"role": "volunteer", "content": "right?", "session_id": 16993, "sequence_id": 197, "annotations": []}
{"role": "volunteer", "content": "And that gap", "session_id": 16993, "sequence_id": 198, "annotations": []}
{"role": "volunteer", "content": "I'm sorry, that's not a plus, it should be a minus then.", "session_id": 16993, "sequence_id": 199, "annotations": []}
{"role": "volunteer", "content": "Uh", "session_id": 16993, "sequence_id": 200, "annotations": []}
{"role": "volunteer", "content": "I guess it doesn't really matter", "session_id": 16993, "sequence_id": 201, "annotations": []}
{"role": "volunteer", "content": "Yeah, it's, it's a minus", "session_id": 16993, "sequence_id": 202, "annotations": []}
{"role": "volunteer", "content": "I guess the sign doesn't really matter because it could just be a negative value.", "session_id": 16993, "sequence_id": 203, "annotations": []}
{"role": "volunteer", "content": "But basically, we want to know what is um", "session_id": 16993, "sequence_id": 204, "annotations": []}
{"role": "volunteer", "content": "what is this error value", "session_id": 16993, "sequence_id": 205, "annotations": []}
{"role": "volunteer", "content": "right? What is this gap between Y2 and X2.", "session_id": 16993, "sequence_id": 206, "annotations": []}
{"role": "volunteer", "content": "And the, and the problem becomes if this gap", "session_id": 16993, "sequence_id": 207, "annotations": []}
{"role": "volunteer", "content": "is too big", "session_id": 16993, "sequence_id": 208, "annotations": []}
{"role": "volunteer", "content": "then we really have no idea what F of X2.", "session_id": 16993, "sequence_id": 209, "annotations": []}
{"role": "volunteer", "content": "is.", "session_id": 16993, "sequence_id": 210, "annotations": []}
{"role": "volunteer", "content": "right? Approximation could be way off.", "session_id": 16993, "sequence_id": 211, "annotations": []}
{"role": "volunteer", "content": "And this is, this happens when um", "session_id": 16993, "sequence_id": 212, "annotations": []}
{"role": "volunteer", "content": "this gap between X2 and X1. By the way, I didn't, I didn't explain this, but Delta X is just equal to um the difference between two points of X. So it'll be X2 minus X1, or it could just be XI + 1 minus XI, right?", "session_id": 16993, "sequence_id": 213, "annotations": []}
{"role": "volunteer", "content": "That's just what Delta X just means there's a difference.", "session_id": 16993, "sequence_id": 214, "annotations": []}
{"role": "volunteer", "content": "We're just comparing um the distance between two x values in this instance.", "session_id": 16993, "sequence_id": 215, "annotations": []}
{"role": "volunteer", "content": "OK.", "session_id": 16993, "sequence_id": 216, "annotations": []}
{"role": "volunteer", "content": "Does that make sense so far", "session_id": 16993, "sequence_id": 217, "annotations": []}
{"role": "student", "content": "yes", "session_id": 16993, "sequence_id": 218, "annotations": []}
{"role": "volunteer", "content": "I know I'm going, I'm kind of going back and repeating um information you might have already known.", "session_id": 16993, "sequence_id": 219, "annotations": []}
{"role": "volunteer", "content": "Um", "session_id": 16993, "sequence_id": 220, "annotations": []}
{"role": "volunteer", "content": "so, right, so we want to figure out", "session_id": 16993, "sequence_id": 221, "annotations": []}
{"role": "student", "content": "no no its very helpful", "session_id": 16993, "sequence_id": 222, "annotations": []}
{"role": "volunteer", "content": "so we've solved for the error value, we find that um Y2 is that the error values you go to Y1 minus", "session_id": 16993, "sequence_id": 223, "annotations": []}
{"role": "volunteer", "content": "F of X2", "session_id": 16993, "sequence_id": 224, "annotations": []}
{"role": "volunteer", "content": "right?", "session_id": 16993, "sequence_id": 225, "annotations": []}
{"role": "volunteer", "content": "And we can also say", "session_id": 16993, "sequence_id": 226, "annotations": []}
{"role": "volunteer", "content": "that Y2", "session_id": 16993, "sequence_id": 227, "annotations": []}
{"role": "volunteer", "content": "or sorry, Y of X2.", "session_id": 16993, "sequence_id": 228, "annotations": []}
{"role": "volunteer", "content": "is equal to", "session_id": 16993, "sequence_id": 229, "annotations": []}
{"role": "volunteer", "content": "M of", "session_id": 16993, "sequence_id": 230, "annotations": []}
{"role": "volunteer", "content": "X2 minus X1.", "session_id": 16993, "sequence_id": 231, "annotations": []}
{"role": "volunteer", "content": "plus Y1 based based on our uh tangent line", "session_id": 16993, "sequence_id": 232, "annotations": []}
{"role": "volunteer", "content": "right, which we have up here.", "session_id": 16993, "sequence_id": 233, "annotations": []}
{"role": "volunteer", "content": "right? All I did was plug in X2 for X.", "session_id": 16993, "sequence_id": 234, "annotations": []}
{"role": "volunteer", "content": "OK.", "session_id": 16993, "sequence_id": 235, "annotations": []}
{"role": "volunteer", "content": "But we also know that X2 minus X1 is the same as delta X, right?", "session_id": 16993, "sequence_id": 236, "annotations": []}
{"role": "volunteer", "content": "So we find that M times delta x", "session_id": 16993, "sequence_id": 237, "annotations": []}
{"role": "volunteer", "content": "+ Y1", "session_id": 16993, "sequence_id": 238, "annotations": []}
{"role": "volunteer", "content": "is equal to YX2", "session_id": 16993, "sequence_id": 239, "annotations": []}
{"role": "volunteer", "content": "So what they're saying is that Y2 is just equal to Y1", "session_id": 16993, "sequence_id": 240, "annotations": []}
{"role": "volunteer", "content": "plus the slope, right, the change.", "session_id": 16993, "sequence_id": 241, "annotations": []}
{"role": "volunteer", "content": "times the change in X", "session_id": 16993, "sequence_id": 242, "annotations": []}
{"role": "volunteer", "content": "which we also know that the slope M", "session_id": 16993, "sequence_id": 243, "annotations": []}
{"role": "volunteer", "content": "is just equal to deltay over delta X.", "session_id": 16993, "sequence_id": 244, "annotations": []}
{"role": "volunteer", "content": "right, which we found up here", "session_id": 16993, "sequence_id": 245, "annotations": []}
{"role": "volunteer", "content": "Oh, I'm sorry, the Y2 here.", "session_id": 16993, "sequence_id": 246, "annotations": []}
{"role": "volunteer", "content": "Yeah, I was a little ugly. Let me, um, you're correct, that is supposed to be Y2. The Y2 cannot equal X2", "session_id": 16993, "sequence_id": 247, "annotations": []}
{"role": "volunteer", "content": "because the definition of a tangent line means that the, the line can only intersect with a function at one point", "session_id": 16993, "sequence_id": 248, "annotations": []}
{"role": "volunteer", "content": "and we define that point as X1.", "session_id": 16993, "sequence_id": 249, "annotations": []}
{"role": "volunteer", "content": "X1Y1", "session_id": 16993, "sequence_id": 250, "annotations": []}
{"role": "student", "content": "ok ok", "session_id": 16993, "sequence_id": 251, "annotations": []}
{"role": "volunteer", "content": "Any more questions before I continue?", "session_id": 16993, "sequence_id": 252, "annotations": []}
{"role": "volunteer", "content": "That's a very good question.", "session_id": 16993, "sequence_id": 253, "annotations": []}
{"role": "student", "content": "nope", "session_id": 16993, "sequence_id": 254, "annotations": []}
{"role": "volunteer", "content": "Sorry, my handwriting can get a little bad", "session_id": 16993, "sequence_id": 255, "annotations": []}
{"role": "volunteer", "content": "Please let me know if I need to, um, kind of enlarge something.", "session_id": 16993, "sequence_id": 256, "annotations": []}
{"role": "volunteer", "content": "or rewrite it", "session_id": 16993, "sequence_id": 257, "annotations": []}
{"role": "volunteer", "content": "Um", "session_id": 16993, "sequence_id": 258, "annotations": []}
{"role": "volunteer", "content": "OK. So back to our um solution for Y2.", "session_id": 16993, "sequence_id": 259, "annotations": []}
{"role": "volunteer", "content": "OK.", "session_id": 16993, "sequence_id": 260, "annotations": []}
{"role": "volunteer", "content": "So if we remember back to our slope equation", "session_id": 16993, "sequence_id": 261, "annotations": []}
{"role": "volunteer", "content": "right? I didn't finish writing it, but you know, uh, if you look at the denominator", "session_id": 16993, "sequence_id": 262, "annotations": []}
{"role": "volunteer", "content": "this X2 minus X1. Doesn't that just look like our delta X?", "session_id": 16993, "sequence_id": 263, "annotations": []}
{"role": "student", "content": "yes", "session_id": 16993, "sequence_id": 264, "annotations": []}
{"role": "volunteer", "content": "Yeah. So we factor this back in here.", "session_id": 16993, "sequence_id": 265, "annotations": []}
{"role": "volunteer", "content": "right? So we find that M is equal to", "session_id": 16993, "sequence_id": 266, "annotations": []}
{"role": "volunteer", "content": "um we'll say Y to uh", "session_id": 16993, "sequence_id": 267, "annotations": []}
{"role": "volunteer", "content": "yeah, I will say F(X2) minus", "session_id": 16993, "sequence_id": 268, "annotations": []}
{"role": "volunteer", "content": "F of X1 over delta X.", "session_id": 16993, "sequence_id": 269, "annotations": []}
{"role": "volunteer", "content": "times delta X + F(X1)", "session_id": 16993, "sequence_id": 270, "annotations": []}
{"role": "volunteer", "content": "Um, what does that give us", "session_id": 16993, "sequence_id": 271, "annotations": []}
{"role": "volunteer", "content": "I guess it's just give us X of X1 is equal to X1, that doesn't help us.", "session_id": 16993, "sequence_id": 272, "annotations": []}
{"role": "volunteer", "content": "But I guess we can leave this", "session_id": 16993, "sequence_id": 273, "annotations": []}
{"role": "volunteer", "content": "leave that as is.", "session_id": 16993, "sequence_id": 274, "annotations": []}
{"role": "volunteer", "content": "Um, cause I, I fly plug it back in. This is just going to give me that F of X1 is equal to Y1, which we already known, doesn't really help us.", "session_id": 16993, "sequence_id": 275, "annotations": []}
{"role": "volunteer", "content": "but we could rewrite this in terms of", "session_id": 16993, "sequence_id": 276, "annotations": []}
{"role": "volunteer", "content": "uh instead of this being Y2, we can rewrite this as M delta X + F of X1.", "session_id": 16993, "sequence_id": 277, "annotations": []}
{"role": "volunteer", "content": "So that", "session_id": 16993, "sequence_id": 278, "annotations": []}
{"role": "volunteer", "content": "if we", "session_id": 16993, "sequence_id": 279, "annotations": []}
{"role": "volunteer", "content": "sorry, go ahead", "session_id": 16993, "sequence_id": 280, "annotations": []}
{"role": "volunteer", "content": "Did you have a question", "session_id": 16993, "sequence_id": 281, "annotations": []}
{"role": "volunteer", "content": "OK. So, if we leave it", "session_id": 16993, "sequence_id": 282, "annotations": []}
{"role": "volunteer", "content": "of this form", "session_id": 16993, "sequence_id": 283, "annotations": []}
{"role": "volunteer", "content": "um what Y2 is and we factor this back into our error equation.", "session_id": 16993, "sequence_id": 284, "annotations": []}
{"role": "volunteer", "content": "right? We find that", "session_id": 16993, "sequence_id": 285, "annotations": []}
{"role": "volunteer", "content": "uh", "session_id": 16993, "sequence_id": 286, "annotations": []}
{"role": "volunteer", "content": "M delta X.", "session_id": 16993, "sequence_id": 287, "annotations": []}
{"role": "volunteer", "content": "plus F of X1.", "session_id": 16993, "sequence_id": 288, "annotations": []}
{"role": "volunteer", "content": "minus F of X2, right? And then we write it all out, we find that", "session_id": 16993, "sequence_id": 289, "annotations": []}
{"role": "volunteer", "content": "um", "session_id": 16993, "sequence_id": 290, "annotations": []}
{"role": "volunteer", "content": "the error function is just the, whatever our step side is, tell them to slope.", "session_id": 16993, "sequence_id": 291, "annotations": []}
{"role": "volunteer", "content": "minus, we could say Delta F.", "session_id": 16993, "sequence_id": 292, "annotations": []}
{"role": "volunteer", "content": "right, with the actual function is actually, let me, let me just try to solve for.", "session_id": 16993, "sequence_id": 293, "annotations": []}
{"role": "volunteer", "content": "no F of X1", "session_id": 16993, "sequence_id": 294, "annotations": []}
{"role": "volunteer", "content": "Yeah, we said", "session_id": 16993, "sequence_id": 295, "annotations": []}
{"role": "volunteer", "content": "Yeah, that's fine. You can just say F of X1.", "session_id": 16993, "sequence_id": 296, "annotations": []}
{"role": "volunteer", "content": "plus F of X1.", "session_id": 16993, "sequence_id": 297, "annotations": []}
{"role": "volunteer", "content": "which is just equal to", "session_id": 16993, "sequence_id": 298, "annotations": []}
{"role": "volunteer", "content": "M delta X is equal to minus.", "session_id": 16993, "sequence_id": 299, "annotations": []}
{"role": "volunteer", "content": "RDF", "session_id": 16993, "sequence_id": 300, "annotations": []}
{"role": "volunteer", "content": "All right, which is basically just the difference in a function is equal to whatever our change in why is, whatever our slope is.", "session_id": 16993, "sequence_id": 301, "annotations": []}
{"role": "volunteer", "content": "Um.", "session_id": 16993, "sequence_id": 302, "annotations": []}
{"role": "volunteer", "content": "and", "session_id": 16993, "sequence_id": 303, "annotations": []}
{"role": "volunteer", "content": "if we can get", "session_id": 16993, "sequence_id": 304, "annotations": []}
{"role": "volunteer", "content": "this is where we start taking, yeah, sorry.", "session_id": 16993, "sequence_id": 305, "annotations": []}
{"role": "volunteer", "content": "Let me enlarge this.", "session_id": 16993, "sequence_id": 306, "annotations": []}
{"role": "volunteer", "content": "Give me one second I think. I did this, I did this exact derivation", "session_id": 16993, "sequence_id": 307, "annotations": []}
{"role": "volunteer", "content": "a couple of weeks ago. I'm think I'm trying to make sure I remember everything correctly.", "session_id": 16993, "sequence_id": 308, "annotations": []}
{"role": "volunteer", "content": "Uh, don't forget anything.", "session_id": 16993, "sequence_id": 309, "annotations": []}
{"role": "student", "content": "ok take your time]", "session_id": 16993, "sequence_id": 310, "annotations": []}
{"role": "volunteer", "content": "I found a tangent line um found the air functioning, found the error value.", "session_id": 16993, "sequence_id": 311, "annotations": []}
{"role": "volunteer", "content": "I think we just want the error value in terms of", "session_id": 16993, "sequence_id": 312, "annotations": []}
{"role": "volunteer", "content": "why one and S's.", "session_id": 16993, "sequence_id": 313, "annotations": []}
{"role": "volunteer", "content": "Yeah.", "session_id": 16993, "sequence_id": 314, "annotations": []}
{"role": "volunteer", "content": "Yeah, sorry. I feel like this delta, this, this error function is wrong.", "session_id": 16993, "sequence_id": 315, "annotations": []}
{"role": "volunteer", "content": "Somehow it's close to being around. I feel like I'm missing something.", "session_id": 16993, "sequence_id": 316, "annotations": []}
{"role": "volunteer", "content": "Cause once you consider that er cause like the air function", "session_id": 16993, "sequence_id": 317, "annotations": []}
{"role": "volunteer", "content": "if you take a limit", "session_id": 16993, "sequence_id": 318, "annotations": []}
{"role": "volunteer", "content": "as delta X", "session_id": 16993, "sequence_id": 319, "annotations": []}
{"role": "volunteer", "content": "goes to 0, right? That we make our step size infinitesimally small.", "session_id": 16993, "sequence_id": 320, "annotations": []}
{"role": "volunteer", "content": "right? We make our X2", "session_id": 16993, "sequence_id": 321, "annotations": []}
{"role": "volunteer", "content": "kind of really close to X1, right? You'll notice that our air function", "session_id": 16993, "sequence_id": 322, "annotations": []}
{"role": "volunteer", "content": "should equal 0", "session_id": 16993, "sequence_id": 323, "annotations": []}
{"role": "volunteer", "content": "right? At that, at that point, you would say that Y2 is equal to f of X2.", "session_id": 16993, "sequence_id": 324, "annotations": []}
{"role": "volunteer", "content": "right? If your, if your air function is absolutely zero. And this is where we can um", "session_id": 16993, "sequence_id": 325, "annotations": []}
{"role": "volunteer", "content": "say that our approach using the tangent line.", "session_id": 16993, "sequence_id": 326, "annotations": []}
{"role": "volunteer", "content": "is an effective approach to evaluating um", "session_id": 16993, "sequence_id": 327, "annotations": []}
{"role": "volunteer", "content": "the next values in the function, right? That it can be used effectively and if you had um", "session_id": 16993, "sequence_id": 328, "annotations": []}
{"role": "volunteer", "content": "if you had the", "session_id": 16993, "sequence_id": 329, "annotations": []}
{"role": "volunteer", "content": "tangent, if you had the slope", "session_id": 16993, "sequence_id": 330, "annotations": []}
{"role": "volunteer", "content": "at any point in X. So you had M", "session_id": 16993, "sequence_id": 331, "annotations": []}
{"role": "volunteer", "content": "for every X", "session_id": 16993, "sequence_id": 332, "annotations": []}
{"role": "volunteer", "content": "in the domain, right? All real numbers that the function lies.", "session_id": 16993, "sequence_id": 333, "annotations": []}
{"role": "volunteer", "content": "then you should be able to approximate", "session_id": 16993, "sequence_id": 334, "annotations": []}
{"role": "volunteer", "content": "all the values of F of X.", "session_id": 16993, "sequence_id": 335, "annotations": []}
{"role": "volunteer", "content": "Um, there is", "session_id": 16993, "sequence_id": 336, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 16993, "sequence_id": 337, "annotations": []}
{"role": "volunteer", "content": "All right, I'm gonna cheat", "session_id": 16993, "sequence_id": 338, "annotations": []}
{"role": "volunteer", "content": "Actually, I can't, I don't know if I can find that.", "session_id": 16993, "sequence_id": 339, "annotations": []}
{"role": "volunteer", "content": "Um.", "session_id": 16993, "sequence_id": 340, "annotations": []}
{"role": "volunteer", "content": "anyway, and if you had, and if you did the sum,", "session_id": 16993, "sequence_id": 341, "annotations": []}
{"role": "volunteer", "content": "or if you", "session_id": 16993, "sequence_id": 342, "annotations": []}
{"role": "volunteer", "content": "if you did the set of all slopes for every X.", "session_id": 16993, "sequence_id": 343, "annotations": []}
{"role": "volunteer", "content": "you would have the function F of X, which would give you all the information of the change in behavior.", "session_id": 16993, "sequence_id": 344, "annotations": []}
{"role": "volunteer", "content": "of F", "session_id": 16993, "sequence_id": 345, "annotations": []}
{"role": "volunteer", "content": "right? So what a derivative actually is", "session_id": 16993, "sequence_id": 346, "annotations": []}
{"role": "volunteer", "content": "is just, it tells you the behavior of the function F.", "session_id": 16993, "sequence_id": 347, "annotations": []}
{"role": "volunteer", "content": "which means that you know how the function is changing for any point in for any point X", "session_id": 16993, "sequence_id": 348, "annotations": []}
{"role": "volunteer", "content": "inside the function", "session_id": 16993, "sequence_id": 349, "annotations": []}
{"role": "volunteer", "content": "So you could predictively model", "session_id": 16993, "sequence_id": 350, "annotations": []}
{"role": "volunteer", "content": "you would like just with the derivative function, you would know exactly how the function is changing at any point in time.", "session_id": 16993, "sequence_id": 351, "annotations": []}
{"role": "volunteer", "content": "Yeah, that's, that's the all real numbers are.", "session_id": 16993, "sequence_id": 352, "annotations": []}
{"role": "volunteer", "content": "So this is, so this is just to prove that like, you know, it's", "session_id": 16993, "sequence_id": 353, "annotations": []}
{"role": "volunteer", "content": "an effective", "session_id": 16993, "sequence_id": 354, "annotations": []}
{"role": "volunteer", "content": "inaccurate way to predict the behavior of F.", "session_id": 16993, "sequence_id": 355, "annotations": []}
{"role": "volunteer", "content": "the function F, that this derivative, this derivative function.", "session_id": 16993, "sequence_id": 356, "annotations": []}
{"role": "volunteer", "content": "Um, all that to say is that, you know, this is what we did the derivative. Now we want to figure out what is an effective and accurate way of predicting, of knowing the behavior", "session_id": 16993, "sequence_id": 357, "annotations": []}
{"role": "volunteer", "content": "of the area under the curve, of being able to find the value under the curve.", "session_id": 16993, "sequence_id": 358, "annotations": []}
{"role": "volunteer", "content": "which you'll be able to tell us because, you know, because it's the antiderivative, this is saying that like, OK, we have this function F.", "session_id": 16993, "sequence_id": 359, "annotations": []}
{"role": "volunteer", "content": "uh, you get the", "session_id": 16993, "sequence_id": 360, "annotations": []}
{"role": "volunteer", "content": "if you go back up to the", "session_id": 16993, "sequence_id": 361, "annotations": []}
{"role": "volunteer", "content": "the first graph I did, you say we have this, we have this graph F.", "session_id": 16993, "sequence_id": 362, "annotations": []}
{"role": "volunteer", "content": "OK. We want to know, assuming this is like, let's just say this is F.", "session_id": 16993, "sequence_id": 363, "annotations": []}
{"role": "volunteer", "content": "right? This is the derivative function", "session_id": 16993, "sequence_id": 364, "annotations": []}
{"role": "volunteer", "content": "and we want to know if, since this is the, this, this tells us the change in the behavior of F. We want to know, is it possible to", "session_id": 16993, "sequence_id": 365, "annotations": []}
{"role": "volunteer", "content": "take the, like, take the and derivative, do the opposite derivative, and using the change in the behavior to be able to find out what F is.", "session_id": 16993, "sequence_id": 366, "annotations": []}
{"role": "volunteer", "content": "But we in the way we do that is we kind of take several approaches and which are just approximations and we try to see", "session_id": 16993, "sequence_id": 367, "annotations": []}
{"role": "volunteer", "content": "uh by taking the limit or by summing up all the infinitesimal values. Is this an accurate representation", "session_id": 16993, "sequence_id": 368, "annotations": []}
{"role": "volunteer", "content": "of the function", "session_id": 16993, "sequence_id": 369, "annotations": []}
{"role": "volunteer", "content": "And we know that for the derivative, any value, any Y value,", "session_id": 16993, "sequence_id": 370, "annotations": []}
{"role": "volunteer", "content": "in the derivative tells you the slope at any point in, in the origin the parent function F.", "session_id": 16993, "sequence_id": 371, "annotations": []}
{"role": "volunteer", "content": "But when we do that, we can say that the change, you go to Delta X and X", "session_id": 16993, "sequence_id": 372, "annotations": []}
{"role": "volunteer", "content": "XI and Xi + 1.", "session_id": 16993, "sequence_id": 373, "annotations": []}
{"role": "volunteer", "content": "using the trapezoid rule", "session_id": 16993, "sequence_id": 374, "annotations": []}
{"role": "volunteer", "content": "and we say", "session_id": 16993, "sequence_id": 375, "annotations": []}
{"role": "volunteer", "content": "if we find the average", "session_id": 16993, "sequence_id": 376, "annotations": []}
{"role": "volunteer", "content": "of the two, let's say, um, let's see.", "session_id": 16993, "sequence_id": 377, "annotations": []}
{"role": "volunteer", "content": "Yeah, they say average", "session_id": 16993, "sequence_id": 378, "annotations": []}
{"role": "volunteer", "content": "F, right, over some range delta X.", "session_id": 16993, "sequence_id": 379, "annotations": []}
{"role": "volunteer", "content": "right? You see how this makes little.", "session_id": 16993, "sequence_id": 380, "annotations": []}
{"role": "volunteer", "content": "Yeah, we can say that this is an approximation", "session_id": 16993, "sequence_id": 381, "annotations": []}
{"role": "volunteer", "content": "to", "session_id": 16993, "sequence_id": 382, "annotations": []}
{"role": "volunteer", "content": "the uh", "session_id": 16993, "sequence_id": 383, "annotations": []}
{"role": "volunteer", "content": "change in F.", "session_id": 16993, "sequence_id": 384, "annotations": []}
{"role": "volunteer", "content": "right?", "session_id": 16993, "sequence_id": 385, "annotations": []}
{"role": "volunteer", "content": "Because we know that um", "session_id": 16993, "sequence_id": 386, "annotations": []}
{"role": "volunteer", "content": "since the F is the slope.", "session_id": 16993, "sequence_id": 387, "annotations": []}
{"role": "volunteer", "content": "Let me try to, let me get some space. Let me move that graph a little lower.", "session_id": 16993, "sequence_id": 388, "annotations": []}
{"role": "volunteer", "content": "Oh, I can't grab everything", "session_id": 16993, "sequence_id": 389, "annotations": []}
{"role": "volunteer", "content": "I", "session_id": 16993, "sequence_id": 390, "annotations": []}
{"role": "volunteer", "content": "very frustrating", "session_id": 16993, "sequence_id": 391, "annotations": []}
{"role": "volunteer", "content": "Mm", "session_id": 16993, "sequence_id": 392, "annotations": []}
{"role": "volunteer", "content": "All right", "session_id": 16993, "sequence_id": 393, "annotations": []}
{"role": "volunteer", "content": "move this", "session_id": 16993, "sequence_id": 394, "annotations": []}
{"role": "volunteer", "content": "down so I can", "session_id": 16993, "sequence_id": 395, "annotations": []}
{"role": "volunteer", "content": "remove all of this.", "session_id": 16993, "sequence_id": 396, "annotations": []}
{"role": "volunteer", "content": "up.", "session_id": 16993, "sequence_id": 397, "annotations": []}
{"role": "volunteer", "content": "Right", "session_id": 16993, "sequence_id": 398, "annotations": []}
{"role": "volunteer", "content": "there, close enough", "session_id": 16993, "sequence_id": 399, "annotations": []}
{"role": "volunteer", "content": "right", "session_id": 16993, "sequence_id": 400, "annotations": []}
{"role": "volunteer", "content": "And you got room in the bottom", "session_id": 16993, "sequence_id": 401, "annotations": []}
{"role": "volunteer", "content": "All right. So we know", "session_id": 16993, "sequence_id": 402, "annotations": []}
{"role": "volunteer", "content": "F", "session_id": 16993, "sequence_id": 403, "annotations": []}
{"role": "volunteer", "content": "F of X, any point is just the slope M at any point X", "session_id": 16993, "sequence_id": 404, "annotations": []}
{"role": "volunteer", "content": "All right, just a slope", "session_id": 16993, "sequence_id": 405, "annotations": []}
{"role": "volunteer", "content": "And we know that the slope is just equal to our change in F, right? The change and the elevation.", "session_id": 16993, "sequence_id": 406, "annotations": []}
{"role": "volunteer", "content": "divided by the change in our X", "session_id": 16993, "sequence_id": 407, "annotations": []}
{"role": "volunteer", "content": "And we want to know, is this area under the curve? Can we approximate the area under the curve cause we want to know what Delta F is.", "session_id": 16993, "sequence_id": 408, "annotations": []}
{"role": "volunteer", "content": "because that's, that's our change in the function.", "session_id": 16993, "sequence_id": 409, "annotations": []}
{"role": "volunteer", "content": "right?", "session_id": 16993, "sequence_id": 410, "annotations": []}
{"role": "volunteer", "content": "So we do, so using the trapezoid rule, you're right, trapezoid.", "session_id": 16993, "sequence_id": 411, "annotations": []}
{"role": "volunteer", "content": "Trapezoidal rule", "session_id": 16993, "sequence_id": 412, "annotations": []}
{"role": "volunteer", "content": "right", "session_id": 16993, "sequence_id": 413, "annotations": []}
{"role": "volunteer", "content": "So we can say um using our average F, right? Over the, over the step size of Delta F.", "session_id": 16993, "sequence_id": 414, "annotations": []}
{"role": "volunteer", "content": "We say that Delta F is approximately equal to our", "session_id": 16993, "sequence_id": 415, "annotations": []}
{"role": "volunteer", "content": "average step size, which this one would be F of X_I, X of XI.", "session_id": 16993, "sequence_id": 416, "annotations": []}
{"role": "volunteer", "content": "plus F of XI + 1.", "session_id": 16993, "sequence_id": 417, "annotations": []}
{"role": "volunteer", "content": "over 2", "session_id": 16993, "sequence_id": 418, "annotations": []}
{"role": "volunteer", "content": "times our step", "session_id": 16993, "sequence_id": 419, "annotations": []}
{"role": "volunteer", "content": "right", "session_id": 16993, "sequence_id": 420, "annotations": []}
{"role": "volunteer", "content": "is approximately equal to Delta F.", "session_id": 16993, "sequence_id": 421, "annotations": []}
{"role": "volunteer", "content": "which is the area under the curve.", "session_id": 16993, "sequence_id": 422, "annotations": []}
{"role": "volunteer", "content": "like the entire, the full area under the curve from X1 to Xn.", "session_id": 16993, "sequence_id": 423, "annotations": []}
{"role": "volunteer", "content": "is what our integral would be.", "session_id": 16993, "sequence_id": 424, "annotations": []}
{"role": "volunteer", "content": "But you notice that this is missing", "session_id": 16993, "sequence_id": 425, "annotations": []}
{"role": "volunteer", "content": "Let me use a different color", "session_id": 16993, "sequence_id": 426, "annotations": []}
{"role": "volunteer", "content": "Um, like green, you know, that this is missing.", "session_id": 16993, "sequence_id": 427, "annotations": []}
{"role": "volunteer", "content": "this gap right here", "session_id": 16993, "sequence_id": 428, "annotations": []}
{"role": "volunteer", "content": "So this is our", "session_id": 16993, "sequence_id": 429, "annotations": []}
{"role": "volunteer", "content": "our error value", "session_id": 16993, "sequence_id": 430, "annotations": []}
{"role": "volunteer", "content": "right? And that's why there's Delta F remains an approximation.", "session_id": 16993, "sequence_id": 431, "annotations": []}
{"role": "volunteer", "content": "But again, if we um", "session_id": 16993, "sequence_id": 432, "annotations": []}
{"role": "volunteer", "content": "if we take the limit", "session_id": 16993, "sequence_id": 433, "annotations": []}
{"role": "volunteer", "content": "of delta X as it approaches 0, right?", "session_id": 16993, "sequence_id": 434, "annotations": []}
{"role": "volunteer", "content": "of this delta F function.", "session_id": 16993, "sequence_id": 435, "annotations": []}
{"role": "volunteer", "content": "right?", "session_id": 16993, "sequence_id": 436, "annotations": []}
{"role": "volunteer", "content": "Then we can reasonably get", "session_id": 16993, "sequence_id": 437, "annotations": []}
{"role": "volunteer", "content": "hopefully", "session_id": 16993, "sequence_id": 438, "annotations": []}
{"role": "volunteer", "content": "this, the accurate del delta F.", "session_id": 16993, "sequence_id": 439, "annotations": []}
{"role": "volunteer", "content": "right? Now you notice in the equation it's multiplied, so it'd probably be equal to 0.", "session_id": 16993, "sequence_id": 440, "annotations": []}
{"role": "volunteer", "content": "but we would, uh", "session_id": 16993, "sequence_id": 441, "annotations": []}
{"role": "volunteer", "content": "figure out, try to figure out, I guess it'd be", "session_id": 16993, "sequence_id": 442, "annotations": []}
{"role": "volunteer", "content": "the minute it goes", "session_id": 16993, "sequence_id": 443, "annotations": []}
{"role": "volunteer", "content": "as the error function goes to the, we'd be there, evaluate the error function.", "session_id": 16993, "sequence_id": 444, "annotations": []}
{"role": "volunteer", "content": "the secondary error function.", "session_id": 16993, "sequence_id": 445, "annotations": []}
{"role": "volunteer", "content": "We would want, so we, as a limit of De tax budget there are stepsize gets infinitesimally small. We want our error function.", "session_id": 16993, "sequence_id": 446, "annotations": []}
{"role": "volunteer", "content": "to be zero", "session_id": 16993, "sequence_id": 447, "annotations": []}
{"role": "volunteer", "content": "which is what this gap is, the area under the curve, and our trapezoidal rule.", "session_id": 16993, "sequence_id": 448, "annotations": []}
{"role": "volunteer", "content": "Now, there might be other instances, um, using the travel's order world, you may not have as much overlap. It might be an underestimation.", "session_id": 16993, "sequence_id": 449, "annotations": []}
{"role": "volunteer", "content": "right, depending on, depends on how the function changes.", "session_id": 16993, "sequence_id": 450, "annotations": []}
{"role": "volunteer", "content": "But, you know, using the right hand or left Riemann thumbs.", "session_id": 16993, "sequence_id": 451, "annotations": []}
{"role": "volunteer", "content": "you might, uh, one of them might be an, one of them is gonna be an overestimation", "session_id": 16993, "sequence_id": 452, "annotations": []}
{"role": "volunteer", "content": "and the other is going to be an underestimation", "session_id": 16993, "sequence_id": 453, "annotations": []}
{"role": "volunteer", "content": "of what the area under the curve is. It's not gonna, it's not going to be exact, um, because it depends on your step size. And if you notice, the bigger step size you use, right?", "session_id": 16993, "sequence_id": 454, "annotations": []}
{"role": "volunteer", "content": "Like I use, look at how big my, I only use the two steps in this function, but say I use like a, a really, really small", "session_id": 16993, "sequence_id": 455, "annotations": []}
{"role": "volunteer", "content": "Delta X", "session_id": 16993, "sequence_id": 456, "annotations": []}
{"role": "volunteer", "content": "right", "session_id": 16993, "sequence_id": 457, "annotations": []}
{"role": "volunteer", "content": "then you'd see that the error would also be smaller.", "session_id": 16993, "sequence_id": 458, "annotations": []}
{"role": "volunteer", "content": "if you can see that. Sorry, I know it's really small.", "session_id": 16993, "sequence_id": 459, "annotations": []}
{"role": "volunteer", "content": "but I was just trying to prove a point", "session_id": 16993, "sequence_id": 460, "annotations": []}
{"role": "volunteer", "content": "Anyway, that's sort of the idea", "session_id": 16993, "sequence_id": 461, "annotations": []}
{"role": "volunteer", "content": "of, you know, why we are doing", "session_id": 16993, "sequence_id": 462, "annotations": []}
{"role": "volunteer", "content": "these different methodologies, these different approaches. Like we're just trying to find", "session_id": 16993, "sequence_id": 463, "annotations": []}
{"role": "volunteer", "content": "um", "session_id": 16993, "sequence_id": 464, "annotations": []}
{"role": "volunteer", "content": "the most accurate, the exact value of what the area under the curve is.", "session_id": 16993, "sequence_id": 465, "annotations": []}
{"role": "volunteer", "content": "And these are very, and these are various attempts at approximating what it is. The left rhyming sums, the right-hand rhyming sums.", "session_id": 16993, "sequence_id": 466, "annotations": []}
{"role": "volunteer", "content": "and then the trapezoidal rule", "session_id": 16993, "sequence_id": 467, "annotations": []}
{"role": "volunteer", "content": "Now, the right, I think I didn't, I didn't show it, but", "session_id": 16993, "sequence_id": 468, "annotations": []}
{"role": "volunteer", "content": "the right rhyming sums, um,", "session_id": 16993, "sequence_id": 469, "annotations": []}
{"role": "volunteer", "content": "is to take", "session_id": 16993, "sequence_id": 470, "annotations": []}
{"role": "volunteer", "content": "the, let me do another graph.", "session_id": 16993, "sequence_id": 471, "annotations": []}
{"role": "volunteer", "content": "I don't make it too small so you can actually see me.", "session_id": 16993, "sequence_id": 472, "annotations": []}
{"role": "volunteer", "content": "Right. What is the air function? Well rather than the air function, I'd say the error value. I'm sorry.", "session_id": 16993, "sequence_id": 473, "annotations": []}
{"role": "volunteer", "content": "So the error value would be what the actual delta F is with the actual change in function is.", "session_id": 16993, "sequence_id": 474, "annotations": []}
{"role": "volunteer", "content": "um", "session_id": 16993, "sequence_id": 475, "annotations": []}
{"role": "volunteer", "content": "is equal to the uh what we found, the trap using the trapezoidal rule, we just say that, we just say F bar.", "session_id": 16993, "sequence_id": 476, "annotations": []}
{"role": "volunteer", "content": "F bar. So whenever you use bar, that means you're talking about the average", "session_id": 16993, "sequence_id": 477, "annotations": []}
{"role": "volunteer", "content": "times delta X.", "session_id": 16993, "sequence_id": 478, "annotations": []}
{"role": "volunteer", "content": "plus the error function.", "session_id": 16993, "sequence_id": 479, "annotations": []}
{"role": "volunteer", "content": "The error value", "session_id": 16993, "sequence_id": 480, "annotations": []}
{"role": "volunteer", "content": "I'm sorry, in the error value could be um I guess positive or negative.", "session_id": 16993, "sequence_id": 481, "annotations": []}
{"role": "volunteer", "content": "right? It depends on, it depends on if this value is an over overestimation or underestimation?", "session_id": 16993, "sequence_id": 482, "annotations": []}
{"role": "volunteer", "content": "right? So we evaluated for the error value, it'd be air values equal to delta", "session_id": 16993, "sequence_id": 483, "annotations": []}
{"role": "volunteer", "content": "I'm sorry", "session_id": 16993, "sequence_id": 484, "annotations": []}
{"role": "volunteer", "content": "Is that right, doctor Delta F.", "session_id": 16993, "sequence_id": 485, "annotations": []}
{"role": "volunteer", "content": "I think really what you'd want is just some kind of delta F", "session_id": 16993, "sequence_id": 486, "annotations": []}
{"role": "volunteer", "content": "minus RF.", "session_id": 16993, "sequence_id": 487, "annotations": []}
{"role": "volunteer", "content": "delta X", "session_id": 16993, "sequence_id": 488, "annotations": []}
{"role": "volunteer", "content": "right", "session_id": 16993, "sequence_id": 489, "annotations": []}
{"role": "volunteer", "content": "OK, this makes more sense", "session_id": 16993, "sequence_id": 490, "annotations": []}
{"role": "volunteer", "content": "Does it? So if Delta X goes to 0, or you'd be left with is Delta F.", "session_id": 16993, "sequence_id": 491, "annotations": []}
{"role": "volunteer", "content": "If you don't want your air, you want your air to cancel. You want these two to equal each other.", "session_id": 16993, "sequence_id": 492, "annotations": []}
{"role": "volunteer", "content": "What I'm missing", "session_id": 16993, "sequence_id": 493, "annotations": []}
{"role": "volunteer", "content": "Hm", "session_id": 16993, "sequence_id": 494, "annotations": []}
{"role": "volunteer", "content": "Oh, I'm sorry, that's not NG, that's average. That's supposed to be AVG.", "session_id": 16993, "sequence_id": 495, "annotations": []}
{"role": "volunteer", "content": "which is supposed to be just kind of F bar. I use, I remember what it was, the notation for it.", "session_id": 16993, "sequence_id": 496, "annotations": []}
{"role": "volunteer", "content": "later on.", "session_id": 16993, "sequence_id": 497, "annotations": []}
{"role": "volunteer", "content": "So yeah, sorry, not, um, I misspoke, not air function, error value.", "session_id": 16993, "sequence_id": 498, "annotations": []}
{"role": "volunteer", "content": "Um, and this value is in terms of the units of the output.", "session_id": 16993, "sequence_id": 499, "annotations": []}
{"role": "volunteer", "content": "So say you're talking about speed, then it could be, you know, the error value could be in MPH, meters per second, or whatever the", "session_id": 16993, "sequence_id": 500, "annotations": []}
{"role": "volunteer", "content": "um", "session_id": 16993, "sequence_id": 501, "annotations": []}
{"role": "volunteer", "content": "the units of the output are", "session_id": 16993, "sequence_id": 502, "annotations": []}
{"role": "volunteer", "content": "cause you wouldn't have, you wouldn't have errors in our exes.", "session_id": 16993, "sequence_id": 503, "annotations": []}
{"role": "volunteer", "content": "or our T's cause those are our inputs and we define our inputs.", "session_id": 16993, "sequence_id": 504, "annotations": []}
{"role": "volunteer", "content": "It's usually their output that we want to know.", "session_id": 16993, "sequence_id": 505, "annotations": []}
{"role": "volunteer", "content": "and that's where, um, that's where the air comes in because we're approximating our output because we don't know", "session_id": 16993, "sequence_id": 506, "annotations": []}
{"role": "volunteer", "content": "what our uh", "session_id": 16993, "sequence_id": 507, "annotations": []}
{"role": "volunteer", "content": "function is", "session_id": 16993, "sequence_id": 508, "annotations": []}
{"role": "volunteer", "content": "and our function by definition is just an order of operations.", "session_id": 16993, "sequence_id": 509, "annotations": []}
{"role": "volunteer", "content": "of", "session_id": 16993, "sequence_id": 510, "annotations": []}
{"role": "volunteer", "content": "it's an order of operations that once you put an input in, it does some magic and you get an output.", "session_id": 16993, "sequence_id": 511, "annotations": []}
{"role": "volunteer", "content": "right?", "session_id": 16993, "sequence_id": 512, "annotations": []}
{"role": "volunteer", "content": "So we want to know what is the order of operations. If we put in inputs and we get these outputs", "session_id": 16993, "sequence_id": 513, "annotations": []}
{"role": "volunteer", "content": "we want to know what the order of operation is so we can properly define, you know, what's the behavior or what's happening. But right now, when they give you, we're looking for area under the curve. They're basically telling you, hey, here's the behavior", "session_id": 16993, "sequence_id": 514, "annotations": []}
{"role": "volunteer", "content": "of this function F.", "session_id": 16993, "sequence_id": 515, "annotations": []}
{"role": "volunteer", "content": "that you don't know", "session_id": 16993, "sequence_id": 516, "annotations": []}
{"role": "volunteer", "content": "Is there any way that you can use the behavior to find out what the function is.", "session_id": 16993, "sequence_id": 517, "annotations": []}
{"role": "volunteer", "content": "And the behavior in this instance is we know what the change in F is or the rate of change of F at any point in X, any point X", "session_id": 16993, "sequence_id": 518, "annotations": []}
{"role": "volunteer", "content": "So we say, OK, we we know what the change in F is at any point in X, right? Cause that's the derivative.", "session_id": 16993, "sequence_id": 519, "annotations": []}
{"role": "volunteer", "content": "Then is there any way we can um", "session_id": 16993, "sequence_id": 520, "annotations": []}
{"role": "volunteer", "content": "for any interval of Xi to Xi + 1 or just some delta X. Can we find out what the actual change in F is.", "session_id": 16993, "sequence_id": 521, "annotations": []}
{"role": "volunteer", "content": "And with the methods we're using, we don't", "session_id": 16993, "sequence_id": 522, "annotations": []}
{"role": "volunteer", "content": "we can't be sure that they're acts that they're um", "session_id": 16993, "sequence_id": 523, "annotations": []}
{"role": "volunteer", "content": "or we know that they're just approximations.", "session_id": 16993, "sequence_id": 524, "annotations": []}
{"role": "volunteer", "content": "depending on how big our Delta X is, right? Just like a derivative. The bigger step size you take,", "session_id": 16993, "sequence_id": 525, "annotations": []}
{"role": "volunteer", "content": "the bigger the error value is going to be because you're just, you're too far away from the tangent line in terms of derivative. You're too far away from the tangent line to know", "session_id": 16993, "sequence_id": 526, "annotations": []}
{"role": "volunteer", "content": "what's going to happen to F, right? It's too much gray area.", "session_id": 16993, "sequence_id": 527, "annotations": []}
{"role": "volunteer", "content": "Um.", "session_id": 16993, "sequence_id": 528, "annotations": []}
{"role": "volunteer", "content": "So that's the kind of", "session_id": 16993, "sequence_id": 529, "annotations": []}
{"role": "volunteer", "content": "the trapezoidal rule, the the mentality behind it", "session_id": 16993, "sequence_id": 530, "annotations": []}
{"role": "volunteer", "content": "You're just taking an approach to", "session_id": 16993, "sequence_id": 531, "annotations": []}
{"role": "volunteer", "content": "evaluating the area under the curve.", "session_id": 16993, "sequence_id": 532, "annotations": []}
{"role": "volunteer", "content": "Um, oh, and you can have with the trapezoidal rule, you can't, it can't, I know I'm looking at the graph now, it looks like an under approximation.", "session_id": 16993, "sequence_id": 533, "annotations": []}
{"role": "volunteer", "content": "but that's only because the function is increasing.", "session_id": 16993, "sequence_id": 534, "annotations": []}
{"role": "volunteer", "content": "If the function were decreasing, let me show you here. Say", "session_id": 16993, "sequence_id": 535, "annotations": []}
{"role": "volunteer", "content": "like this, the function like that, and you were to do the trapezoidal rule.", "session_id": 16993, "sequence_id": 536, "annotations": []}
{"role": "volunteer", "content": "then you would find that your trapezoidal rule is an over approximation.", "session_id": 16993, "sequence_id": 537, "annotations": []}
{"role": "volunteer", "content": "right, because you'd have this", "session_id": 16993, "sequence_id": 538, "annotations": []}
{"role": "volunteer", "content": "error value here, that's too much. And this is where I said that the error value could be plus or minus.", "session_id": 16993, "sequence_id": 539, "annotations": []}
{"role": "volunteer", "content": "because it depends on if it's an overestimation or underestimation.", "session_id": 16993, "sequence_id": 540, "annotations": []}
{"role": "volunteer", "content": "But the idea is that we want", "session_id": 16993, "sequence_id": 541, "annotations": []}
{"role": "volunteer", "content": "we know that if we can um", "session_id": 16993, "sequence_id": 542, "annotations": []}
{"role": "volunteer", "content": "or we have an idea that if we can get this step size,", "session_id": 16993, "sequence_id": 543, "annotations": []}
{"role": "volunteer", "content": "to be infinitesimally small.", "session_id": 16993, "sequence_id": 544, "annotations": []}
{"role": "volunteer", "content": "then we can get our error value.", "session_id": 16993, "sequence_id": 545, "annotations": []}
{"role": "volunteer", "content": "to be infinitesimally small too.", "session_id": 16993, "sequence_id": 546, "annotations": []}
{"role": "volunteer", "content": "Infinitesimally close to zero.", "session_id": 16993, "sequence_id": 547, "annotations": []}
{"role": "volunteer", "content": "and that would mean that um", "session_id": 16993, "sequence_id": 548, "annotations": []}
{"role": "volunteer", "content": "our", "session_id": 16993, "sequence_id": 549, "annotations": []}
{"role": "volunteer", "content": "either a trapezoid rule or right rim and sums, whatever approximation method we're using would become very close", "session_id": 16993, "sequence_id": 550, "annotations": []}
{"role": "volunteer", "content": "I was like infinitesimy close to what the actual change in function is.", "session_id": 16993, "sequence_id": 551, "annotations": []}
{"role": "volunteer", "content": "Infinitesimally. There you go, cause say it properly.", "session_id": 16993, "sequence_id": 552, "annotations": []}
{"role": "volunteer", "content": "Let me give you a couple of minutes", "session_id": 16993, "sequence_id": 553, "annotations": []}
{"role": "volunteer", "content": "just to kind of mull over", "session_id": 16993, "sequence_id": 554, "annotations": []}
{"role": "volunteer", "content": "um everything we've talked about", "session_id": 16993, "sequence_id": 555, "annotations": []}
{"role": "volunteer", "content": "and, uh, give you time to kind of come up with any questions or anything you don't understand.", "session_id": 16993, "sequence_id": 556, "annotations": []}
{"role": "volunteer", "content": "And then we can go on to the practical application and just kind of working on the problem.", "session_id": 16993, "sequence_id": 557, "annotations": []}
{"role": "volunteer", "content": "and what it and what it means, what we're actually doing.", "session_id": 16993, "sequence_id": 558, "annotations": []}
{"role": "volunteer", "content": "Do you want me to keep the um", "session_id": 16993, "sequence_id": 559, "annotations": []}
{"role": "volunteer", "content": "calculations on the board or can I get rid of some stuff because we're gonna need some space later.", "session_id": 16993, "sequence_id": 560, "annotations": []}
{"role": "student", "content": "for a i is 7000.5", "session_id": 16993, "sequence_id": 561, "annotations": []}
{"role": "volunteer", "content": "Um", "session_id": 16993, "sequence_id": 562, "annotations": []}
{"role": "volunteer", "content": "I can't confirm it and I haven't actually evaluated yet. Let me, um,", "session_id": 16993, "sequence_id": 563, "annotations": []}
{"role": "student", "content": "and b i is 7000", "session_id": 16993, "sequence_id": 564, "annotations": []}
{"role": "volunteer", "content": "take a look at it. Uh.", "session_id": 16993, "sequence_id": 565, "annotations": []}
{"role": "volunteer", "content": "and B you got 6295.", "session_id": 16993, "sequence_id": 566, "annotations": []}
{"role": "volunteer", "content": "All right. Give me one moment.", "session_id": 16993, "sequence_id": 567, "annotations": []}
{"role": "volunteer", "content": "So", "session_id": 16993, "sequence_id": 568, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 16993, "sequence_id": 569, "annotations": []}
{"role": "student", "content": "yeah its good?", "session_id": 16993, "sequence_id": 570, "annotations": []}
{"role": "volunteer", "content": "I got 6625.5.5 for a", "session_id": 16993, "sequence_id": 571, "annotations": []}
{"role": "student", "content": "ummm", "session_id": 16993, "sequence_id": 572, "annotations": []}
{"role": "student", "content": "are you sure..", "session_id": 16993, "sequence_id": 573, "annotations": []}
{"role": "volunteer", "content": "can you show your work", "session_id": 16993, "sequence_id": 574, "annotations": []}
{"role": "volunteer", "content": "on the board", "session_id": 16993, "sequence_id": 575, "annotations": []}
{"role": "student", "content": "kk", "session_id": 16993, "sequence_id": 576, "annotations": []}
{"role": "volunteer", "content": "Uh", "session_id": 16993, "sequence_id": 577, "annotations": []}
{"role": "volunteer", "content": "By the way, one thing you can do for your um", "session_id": 16993, "sequence_id": 578, "annotations": []}
{"role": "volunteer", "content": "calculations", "session_id": 16993, "sequence_id": 579, "annotations": []}
{"role": "volunteer", "content": "is if you notice", "session_id": 16993, "sequence_id": 580, "annotations": []}
{"role": "volunteer", "content": "that this summation", "session_id": 16993, "sequence_id": 581, "annotations": []}
{"role": "volunteer", "content": "um for I", "session_id": 16993, "sequence_id": 582, "annotations": []}
{"role": "volunteer", "content": "that delta T is independent of I. The step size remains the same for every iteration.", "session_id": 16993, "sequence_id": 583, "annotations": []}
{"role": "volunteer", "content": "So what this means is", "session_id": 16993, "sequence_id": 584, "annotations": []}
{"role": "volunteer", "content": "is that you can factor out.", "session_id": 16993, "sequence_id": 585, "annotations": []}
{"role": "volunteer", "content": "this delta T term", "session_id": 16993, "sequence_id": 586, "annotations": []}
{"role": "volunteer", "content": "so that you just have this delta T times the sum.", "session_id": 16993, "sequence_id": 587, "annotations": []}
{"role": "volunteer", "content": "of every average value.", "session_id": 16993, "sequence_id": 588, "annotations": []}
{"role": "volunteer", "content": "over the interval", "session_id": 16993, "sequence_id": 589, "annotations": []}
{"role": "volunteer", "content": "All right? So it'll just be kind of like this delta V over 2.", "session_id": 16993, "sequence_id": 590, "annotations": []}
{"role": "volunteer", "content": "All right let me just do this. Var.", "session_id": 16993, "sequence_id": 591, "annotations": []}
{"role": "volunteer", "content": "for I", "session_id": 16993, "sequence_id": 592, "annotations": []}
{"role": "volunteer", "content": "That's a little shorthand for you", "session_id": 16993, "sequence_id": 593, "annotations": []}
{"role": "student", "content": "ok can you see my work", "session_id": 16993, "sequence_id": 594, "annotations": []}
{"role": "student", "content": "its in green at the top of the board", "session_id": 16993, "sequence_id": 595, "annotations": []}
{"role": "volunteer", "content": "i can't see it", "session_id": 16993, "sequence_id": 596, "annotations": []}
{"role": "volunteer", "content": "Let me try refreshing the page to see if that works.", "session_id": 16993, "sequence_id": 597, "annotations": []}
{"role": "student", "content": "ok lmk", "session_id": 16993, "sequence_id": 598, "annotations": []}
{"role": "volunteer", "content": "So I refreshed the page but I don't see your work. Also, I got 6295 for B.", "session_id": 16993, "sequence_id": 599, "annotations": []}
{"role": "volunteer", "content": "I can't see your work. Let me show you, let me show you mine, I guess.", "session_id": 16993, "sequence_id": 600, "annotations": []}
{"role": "volunteer", "content": "I don't know why I can't see your work", "session_id": 16993, "sequence_id": 601, "annotations": []}
{"role": "volunteer", "content": "Um, so I said that", "session_id": 16993, "sequence_id": 602, "annotations": []}
{"role": "volunteer", "content": "I said S is equal to.", "session_id": 16993, "sequence_id": 603, "annotations": []}
{"role": "volunteer", "content": "5900", "session_id": 16993, "sequence_id": 604, "annotations": []}
{"role": "volunteer", "content": "plus", "session_id": 16993, "sequence_id": 605, "annotations": []}
{"role": "volunteer", "content": "1.5", "session_id": 16993, "sequence_id": 606, "annotations": []}
{"role": "volunteer", "content": "times", "session_id": 16993, "sequence_id": 607, "annotations": []}
{"role": "volunteer", "content": "the average of", "session_id": 16993, "sequence_id": 608, "annotations": []}
{"role": "volunteer", "content": "each, so I got", "session_id": 16993, "sequence_id": 609, "annotations": []}
{"role": "volunteer", "content": "50", "session_id": 16993, "sequence_id": 610, "annotations": []}
{"role": "volunteer", "content": "+", "session_id": 16993, "sequence_id": 611, "annotations": []}
{"role": "volunteer", "content": "125 plus", "session_id": 16993, "sequence_id": 612, "annotations": []}
{"role": "volunteer", "content": "155 plus.", "session_id": 16993, "sequence_id": 613, "annotations": []}
{"role": "volunteer", "content": "140 plus.", "session_id": 16993, "sequence_id": 614, "annotations": []}
{"role": "volunteer", "content": "105 + 100.", "session_id": 16993, "sequence_id": 615, "annotations": []}
{"role": "volunteer", "content": "And that's how I got my answer", "session_id": 16993, "sequence_id": 616, "annotations": []}
{"role": "volunteer", "content": "for a", "session_id": 16993, "sequence_id": 617, "annotations": []}
{"role": "volunteer", "content": "hello?", "session_id": 16993, "sequence_id": 618, "annotations": []}
{"role": "volunteer", "content": "Hello", "session_id": 16993, "sequence_id": 619, "annotations": []}
{"role": "volunteer", "content": "Yeah, I'm not sure why you're, I can't see your work.", "session_id": 16993, "sequence_id": 620, "annotations": []}
{"role": "student", "content": "can you see my work in word form", "session_id": 16993, "sequence_id": 621, "annotations": []}
{"role": "volunteer", "content": "Oh", "session_id": 16993, "sequence_id": 622, "annotations": []}
{"role": "volunteer", "content": "never mind. I think you're right. I put in the wrong value", "session_id": 16993, "sequence_id": 623, "annotations": []}
{"role": "volunteer", "content": "I got 6625.5 instead 7000.", "session_id": 16993, "sequence_id": 624, "annotations": []}
{"role": "volunteer", "content": "because our answer is we'are 7000 off, so I think you're right. Let me see where you wrote it down.", "session_id": 16993, "sequence_id": 625, "annotations": []}
{"role": "volunteer", "content": "You got 6625.5.5. You got 6295.", "session_id": 16993, "sequence_id": 626, "annotations": []}
{"role": "volunteer", "content": "Yeah. So your A is correct.", "session_id": 16993, "sequence_id": 627, "annotations": []}
{"role": "volunteer", "content": "And what did I get for B", "session_id": 16993, "sequence_id": 628, "annotations": []}
{"role": "student", "content": "oh ok ok", "session_id": 16993, "sequence_id": 629, "annotations": []}
{"role": "volunteer", "content": "6995. So it's 2662.", "session_id": 16993, "sequence_id": 630, "annotations": []}
{"role": "volunteer", "content": "Let me double check", "session_id": 16993, "sequence_id": 631, "annotations": []}
{"role": "volunteer", "content": "Can I see your work in word form", "session_id": 16993, "sequence_id": 632, "annotations": []}
{"role": "volunteer", "content": "OK.", "session_id": 16993, "sequence_id": 633, "annotations": []}
{"role": "volunteer", "content": "I see, I see the text. I don't see all of it. I just see T equals 2", "session_id": 16993, "sequence_id": 634, "annotations": []}
{"role": "volunteer", "content": "and 1.5", "session_id": 16993, "sequence_id": 635, "annotations": []}
{"role": "volunteer", "content": "Let me double check. What did I do? So this should be", "session_id": 16993, "sequence_id": 636, "annotations": []}
{"role": "student", "content": "6295 for b", "session_id": 16993, "sequence_id": 637, "annotations": []}
{"role": "volunteer", "content": "I don't know why I got 6625.5 from. I'm just uh", "session_id": 16993, "sequence_id": 638, "annotations": []}
{"role": "volunteer", "content": "I'm kind of dyslexia", "session_id": 16993, "sequence_id": 639, "annotations": []}
{"role": "volunteer", "content": "So let me redo my maths.", "session_id": 16993, "sequence_id": 640, "annotations": []}
{"role": "student", "content": "its ok", "session_id": 16993, "sequence_id": 641, "annotations": []}
{"role": "volunteer", "content": "Yeah, I got 6625.5 for", "session_id": 16993, "sequence_id": 642, "annotations": []}
{"role": "volunteer", "content": "um it looks like A.", "session_id": 16993, "sequence_id": 643, "annotations": []}
{"role": "volunteer", "content": "and then let me look at", "session_id": 16993, "sequence_id": 644, "annotations": []}
{"role": "volunteer", "content": "Sorry for confusing you", "session_id": 16993, "sequence_id": 645, "annotations": []}
{"role": "volunteer", "content": "I", "session_id": 16993, "sequence_id": 646, "annotations": []}
{"role": "volunteer", "content": "Yeah, 6295 for me.", "session_id": 16993, "sequence_id": 647, "annotations": []}
{"role": "volunteer", "content": "I think you just, yeah", "session_id": 16993, "sequence_id": 648, "annotations": []}
{"role": "volunteer", "content": "So you're right", "session_id": 16993, "sequence_id": 649, "annotations": []}
{"role": "volunteer", "content": "I apologize", "session_id": 16993, "sequence_id": 650, "annotations": []}
{"role": "volunteer", "content": "I'm, I'm, I bow to your expertise.", "session_id": 16993, "sequence_id": 651, "annotations": []}
{"role": "volunteer", "content": "Sorry, you're returning your work in.", "session_id": 16993, "sequence_id": 652, "annotations": []}
{"role": "student", "content": "its ok haha", "session_id": 16993, "sequence_id": 653, "annotations": []}
{"role": "volunteer", "content": "Um, but did, did that make sense kind of why we're doing this kind of why they use the word approximation when they talk about this", "session_id": 16993, "sequence_id": 654, "annotations": []}
{"role": "volunteer", "content": "because there is um", "session_id": 16993, "sequence_id": 655, "annotations": []}
{"role": "student", "content": "yeah i get it", "session_id": 16993, "sequence_id": 656, "annotations": []}
{"role": "volunteer", "content": "there is an error value.", "session_id": 16993, "sequence_id": 657, "annotations": []}
{"role": "volunteer", "content": "that is entirely dependent on what your step size is.", "session_id": 16993, "sequence_id": 658, "annotations": []}
{"role": "volunteer", "content": "And the bigger your step size, you're kind of delta X or DeltaT, whatever your delta input is.", "session_id": 16993, "sequence_id": 659, "annotations": []}
{"role": "volunteer", "content": "the less accurate", "session_id": 16993, "sequence_id": 660, "annotations": []}
{"role": "volunteer", "content": "your method becomes.", "session_id": 16993, "sequence_id": 661, "annotations": []}
{"role": "volunteer", "content": "And all this stems from physics.", "session_id": 16993, "sequence_id": 662, "annotations": []}
{"role": "volunteer", "content": "like kind of observing the world and just saying that like, hey, if I know", "session_id": 16993, "sequence_id": 663, "annotations": []}
{"role": "volunteer", "content": "if I know an object either position", "session_id": 16993, "sequence_id": 664, "annotations": []}
{"role": "volunteer", "content": "Is there any way I can relate that to its philosophy or the opposite. If I knew an object's velocity,", "session_id": 16993, "sequence_id": 665, "annotations": []}
{"role": "volunteer", "content": "what is the relationship with its position.", "session_id": 16993, "sequence_id": 666, "annotations": []}
{"role": "volunteer", "content": "assuming you don't, assuming you only know one and not the other.", "session_id": 16993, "sequence_id": 667, "annotations": []}
{"role": "volunteer", "content": "And the derivatives and antiderivatives", "session_id": 16993, "sequence_id": 668, "annotations": []}
{"role": "volunteer", "content": "um were the solutions to that.", "session_id": 16993, "sequence_id": 669, "annotations": []}
{"role": "volunteer", "content": "Because knowing, like in this example, you know its velocity at any point in time.", "session_id": 16993, "sequence_id": 670, "annotations": []}
{"role": "volunteer", "content": "and now you are approximating", "session_id": 16993, "sequence_id": 671, "annotations": []}
{"role": "volunteer", "content": "its position at any point in time.", "session_id": 16993, "sequence_id": 672, "annotations": []}
{"role": "volunteer", "content": "And the smaller the step size,", "session_id": 16993, "sequence_id": 673, "annotations": []}
{"role": "volunteer", "content": "um, the more accurate you can get to what its actual position is for any point next. Right now we have a step size of like 1.5. So for every 90 seconds, you know where this object is, a hot air balloon.", "session_id": 16993, "sequence_id": 674, "annotations": []}
{"role": "volunteer", "content": "the elevation", "session_id": 16993, "sequence_id": 675, "annotations": []}
{"role": "volunteer", "content": "But in between those 90 seconds, you don't know.", "session_id": 16993, "sequence_id": 676, "annotations": []}
{"role": "volunteer", "content": "right? That's where the approximation comes in. That's the kind of gray area where we don't know what's happening", "session_id": 16993, "sequence_id": 677, "annotations": []}
{"role": "volunteer", "content": "Um, we have an idea of what's happening", "session_id": 16993, "sequence_id": 678, "annotations": []}
{"role": "volunteer", "content": "right? Based on what we can see the what the changes to the velocity.", "session_id": 16993, "sequence_id": 679, "annotations": []}
{"role": "volunteer", "content": "but we don't know what the actual values are.", "session_id": 16993, "sequence_id": 680, "annotations": []}
{"role": "student", "content": "Hello", "session_id": 17093, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "hello", "session_id": 17093, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "I want to learn geometry", "session_id": 17093, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "I am not sure what you mean?", "session_id": 17093, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "nvm I meant that I want to deepen my understanding of tenth grade geometry since I'm in tenth grade and geometry is currently a struggle for me", "session_id": 17093, "sequence_id": 4, "annotations": [{"pii_type": "GRADE_LEVEL", "surrogate": "tenth grade", "start": 54, "end": 65}, {"pii_type": "GRADE_LEVEL", "surrogate": "tenth grade", "start": 88, "end": 99}]}
{"role": "volunteer", "content": "do you have a problem that you are working on?", "session_id": 17093, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "no", "session_id": 17093, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "Is there a particular topic that you wanted to go over?", "session_id": 17093, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "yeahh", "session_id": 17093, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "what topic is that?", "session_id": 17093, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "idk how to explain the topic but I put a question on the board and that question is like the topic I sturggle", "session_id": 17093, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "I think the topic is just called lines", "session_id": 17093, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "Parallel lines", "session_id": 17093, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "You need to know what kinds of angles of equal and what kind are supplementary. Do you know what supplementary means?", "session_id": 17093, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "I think supplementary is when two angles equal 180 degrees", "session_id": 17093, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "yes.  Also, they can form a straight angle.", "session_id": 17093, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "okayy", "session_id": 17093, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "In the diagram, angles and b together form a straight angle and they add 180\u00b0", "session_id": 17093, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "gotcha", "session_id": 17093, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "angles that have the same relationship to the parallel lines and the transversal are called corresponding angles", "session_id": 17093, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "So, for example, the two red angles are both formed in the same way by the transversal and one of the parallel lines", "session_id": 17093, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "the same goes for the black angles and the green angles.", "session_id": 17093, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "do you see that?", "session_id": 17093, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "yes", "session_id": 17093, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "when you have parallel lines and a transversal, corresponding angles are equal", "session_id": 17093, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "Angles C and F are both inside the parallel lines but on opposite sides of the transversal, right?", "session_id": 17093, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "C and F are called alternate interior angles.", "session_id": 17093, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "I understand", "session_id": 17093, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "the interior means they are inside the parallel lines and the \"alternate\" means they are on opposite sides of the transversal.", "session_id": 17093, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "ok", "session_id": 17093, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "with parallel lines, alternate interior angles are equal", "session_id": 17093, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "angles A and H are also on \"alternate\" sides of the transversal, but they are outside (exterior) to the parallel lines.", "session_id": 17093, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "so A and H are alternate exterior angles", "session_id": 17093, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "when you have parallel lines. alternate exterior angles are allso equal.", "session_id": 17093, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "ok", "session_id": 17093, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "How about angles E and F. What do you think we can say about them?", "session_id": 17093, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "u want me to say the relationship between angles e and f?", "session_id": 17093, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 17093, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "aren't they like the angles a and b in the diagram that I drew above?", "session_id": 17093, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 17093, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "both angles are on a straight line", "session_id": 17093, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "so what do you think angles E and F add up to ?", "session_id": 17093, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "180", "session_id": 17093, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "degrees", "session_id": 17093, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "In the diagram for your problem, I drew in a new angle \"e\". Do you see it?", "session_id": 17093, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "yes", "session_id": 17093, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "What can you say about angles \"a\" and \"e\", do you think?", "session_id": 17093, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "not sure?", "session_id": 17093, "sequence_id": 47, "annotations": []}
{"role": "student", "content": "im confused", "session_id": 17093, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "but I think they are on the same line", "session_id": 17093, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "they are actually just like angles A and E in the big diagram below", "session_id": 17093, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "they are corresponding angles", "session_id": 17093, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "OHH I'm so dumb how didn't I notice that\\", "session_id": 17093, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "therefore, the measure of a equals the measure of e", "session_id": 17093, "sequence_id": 53, "annotations": []}
{"role": "student", "content": "bruh I should have kneww", "session_id": 17093, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "Well, you need to spend some time looking at a good diagram of parallel lines with alt interior and exterior and corresponding angles until you get used to visualizing", "session_id": 17093, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "them", "session_id": 17093, "sequence_id": 56, "annotations": []}
{"role": "student", "content": "ok", "session_id": 17093, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "now, we said that e and b add up 180 degrees, right?", "session_id": 17093, "sequence_id": 58, "annotations": []}
{"role": "student", "content": "oh yeah", "session_id": 17093, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "because they are supplementary angles", "session_id": 17093, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "they tell us that b = 2x +13, right", "session_id": 17093, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "so we can replace b with the expression 2x +13", "session_id": 17093, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "does that make sense?", "session_id": 17093, "sequence_id": 63, "annotations": []}
{"role": "student", "content": "yes", "session_id": 17093, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "they also tell us that a =3x +12", "session_id": 17093, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "but now we know that e is the same measure as a, right?", "session_id": 17093, "sequence_id": 66, "annotations": []}
{"role": "student", "content": "yup", "session_id": 17093, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "so we can replace e by 3x +12", "session_id": 17093, "sequence_id": 68, "annotations": []}
{"role": "student", "content": "ohhh and then u just combine a like terms", "session_id": 17093, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "yes, now you solve that equation for x", "session_id": 17093, "sequence_id": 70, "annotations": []}
{"role": "student", "content": "ok easy 3x + 12 + 2x + 13, 5x + 25 = 180, 180 - 25 = 155, 155 = 5x, 155/5 = 31 = x", "session_id": 17093, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "yes, very good!", "session_id": 17093, "sequence_id": 72, "annotations": []}
{"role": "student", "content": "yay", "session_id": 17093, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "Sorry, but something has come up, and I am going to have to go. Sorry.", "session_id": 17093, "sequence_id": 74, "annotations": []}
{"role": "student", "content": "it ok thanks", "session_id": 17093, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "You are very welcome.", "session_id": 17093, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "Have a good week!", "session_id": 17093, "sequence_id": 77, "annotations": []}
{"role": "student", "content": "you to", "session_id": 17093, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "bye", "session_id": 17093, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "Hello!", "session_id": 17146, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "Hello", "session_id": 17146, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "Uh, hello, Alex.", "session_id": 17146, "sequence_id": 2, "annotations": [{"pii_type": "PERSON", "surrogate": "Alex", "start": 11, "end": 15}]}
{"role": "volunteer", "content": "Can you hear me", "session_id": 17146, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "Oh yeah, no, I can hear you.", "session_id": 17146, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "Uh, um, OK. How are you doing?", "session_id": 17146, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "Good. How about you?", "session_id": 17146, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "Pretty good", "session_id": 17146, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "Um, can you tell me more about this assignment?", "session_id": 17146, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "Yeah, um", "session_id": 17146, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "so", "session_id": 17146, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "it's like with real numbers and I'm finding the difference between these two numbers on a number line.", "session_id": 17146, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "If it helps, I can write down the questions. I'll probably make more sense.", "session_id": 17146, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 17146, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "Uh, yeah, sure. So it's find the difference between two numbers on a number line.", "session_id": 17146, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "Yeah, but it's like with like these real numbers, and like I understand how to do the real numbers, but just know how to put them on the number one.", "session_id": 17146, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "Oh, I see, I see. OK, yeah.", "session_id": 17146, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 17146, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "Um", "session_id": 17146, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "so what numbers do you have?", "session_id": 17146, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "Um, I'm writing them down right now.", "session_id": 17146, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "All righty", "session_id": 17146, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "7/3, OK.", "session_id": 17146, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "And then", "session_id": 17146, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 17146, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "uh", "session_id": 17146, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "OK", "session_id": 17146, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 17146, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "Oh what", "session_id": 17146, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "you wait, this is ninth grade, Alex, where you're all wow squay already. OK.", "session_id": 17146, "sequence_id": 29, "annotations": [{"pii_type": "GRADE_LEVEL", "surrogate": "ninth grade", "start": 18, "end": 29}, {"pii_type": "PERSON", "surrogate": "Alex", "start": 31, "end": 35}]}
{"role": "volunteer", "content": "Wait, do you know what square root is?", "session_id": 17146, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 17146, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "Oh, OK", "session_id": 17146, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "Ah.", "session_id": 17146, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "Oh", "session_id": 17146, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "I honestly forgot what I first learned about square root, but that's impressive that you're already learning it.", "session_id": 17146, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 17146, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "So do you want me to solve this and then like", "session_id": 17146, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "Hm.", "session_id": 17146, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "you can help me put it on the number one.", "session_id": 17146, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "I solve it. What, wait, wait, what?", "session_id": 17146, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "So it says", "session_id": 17146, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "So it's asking you to solve the square root first and then put it on that number.", "session_id": 17146, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "find the distance between 7/3 and 25/4 on a number line.", "session_id": 17146, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "It", "session_id": 17146, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "oh", "session_id": 17146, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "Mm, OK", "session_id": 17146, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "Well, first, yeah, let's first draw the number line.", "session_id": 17146, "sequence_id": 47, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 17146, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "OK", "session_id": 17146, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 17146, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "And then", "session_id": 17146, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "root of 25/4.", "session_id": 17146, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "Oh gosh, I need a refresher on this. Um, well,", "session_id": 17146, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "try placing 7/3 on the number line first.", "session_id": 17146, "sequence_id": 54, "annotations": []}
{"role": "student", "content": "Um, OK", "session_id": 17146, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "I say just putting down a point that you call 0.", "session_id": 17146, "sequence_id": 56, "annotations": []}
{"role": "student", "content": "Huh?", "session_id": 17146, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "I just placing 0 somewhere on the number line. So you have a sense of where to push, uh, put the other numbers.", "session_id": 17146, "sequence_id": 58, "annotations": []}
{"role": "student", "content": "OK", "session_id": 17146, "sequence_id": 59, "annotations": []}
{"role": "student", "content": "Uh, jeez, um.", "session_id": 17146, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "There you go, yeah.", "session_id": 17146, "sequence_id": 61, "annotations": []}
{"role": "student", "content": "yes, or I get lost. Um.", "session_id": 17146, "sequence_id": 62, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 17146, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "You know, that's fine. So now, now you have 0. What, what should 7/3 go?", "session_id": 17146, "sequence_id": 64, "annotations": []}
{"role": "student", "content": "um", "session_id": 17146, "sequence_id": 65, "annotations": []}
{"role": "student", "content": "past the 0, so like that way.", "session_id": 17146, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "Uh, that", "session_id": 17146, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 17146, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "I'll give you a left of 0 is negative, and right of 0 is positive.", "session_id": 17146, "sequence_id": 69, "annotations": []}
{"role": "student", "content": "Oh, I didn't know that. So right.", "session_id": 17146, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "Yeah, the general rule for making a number line is the right is always the positive side or the more positive.", "session_id": 17146, "sequence_id": 71, "annotations": []}
{"role": "student", "content": "OK", "session_id": 17146, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "and the left is the more negative side.", "session_id": 17146, "sequence_id": 73, "annotations": []}
{"role": "student", "content": "OK, I remember that.", "session_id": 17146, "sequence_id": 74, "annotations": []}
{"role": "student", "content": "So, somewhere over here.", "session_id": 17146, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "Yeah.", "session_id": 17146, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "Can you start like, um, let me think.", "session_id": 17146, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "So let's ignore the root of 25/4 part and just focus on the 7/3. It is just, this was just about 7/3.", "session_id": 17146, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "How would you go about making the number line and putting it on the number line.", "session_id": 17146, "sequence_id": 79, "annotations": []}
{"role": "student", "content": "Um", "session_id": 17146, "sequence_id": 80, "annotations": []}
{"role": "student", "content": "I would", "session_id": 17146, "sequence_id": 81, "annotations": []}
{"role": "volunteer", "content": "You stuck", "session_id": 17146, "sequence_id": 82, "annotations": []}
{"role": "student", "content": "yeah, I'm terrible with number ones.", "session_id": 17146, "sequence_id": 83, "annotations": []}
{"role": "volunteer", "content": "No, don't worry. They, they take a lot for a little. Do you have any ideas?", "session_id": 17146, "sequence_id": 84, "annotations": []}
{"role": "student", "content": "Um", "session_id": 17146, "sequence_id": 85, "annotations": []}
{"role": "student", "content": "I think it would be like", "session_id": 17146, "sequence_id": 86, "annotations": []}
{"role": "student", "content": "here because like the 3 is like the denominators, so like it would go off of the denominator.", "session_id": 17146, "sequence_id": 87, "annotations": []}
{"role": "volunteer", "content": "Yeah, that's true", "session_id": 17146, "sequence_id": 88, "annotations": []}
{"role": "volunteer", "content": "We're making a number on so just point down reference numbers Algebra 101, whatever like phone numbers.", "session_id": 17146, "sequence_id": 89, "annotations": [{"pii_type": "COURSE", "surrogate": "Algebra 101", "start": 62, "end": 73}]}
{"role": "volunteer", "content": "um", "session_id": 17146, "sequence_id": 90, "annotations": []}
{"role": "volunteer", "content": "oh", "session_id": 17146, "sequence_id": 91, "annotations": []}
{"role": "volunteer", "content": "OK. Um", "session_id": 17146, "sequence_id": 92, "annotations": []}
{"role": "volunteer", "content": "you still there", "session_id": 17146, "sequence_id": 93, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 17146, "sequence_id": 94, "annotations": []}
{"role": "volunteer", "content": "OK. Did, uh, did what I said make sense or do you, do you want more explanation?", "session_id": 17146, "sequence_id": 95, "annotations": []}
{"role": "student", "content": "um, on like to put like", "session_id": 17146, "sequence_id": 96, "annotations": []}
{"role": "student", "content": "numbers, like", "session_id": 17146, "sequence_id": 97, "annotations": []}
{"role": "volunteer", "content": "Yeah, where you put, where you put 7/3.", "session_id": 17146, "sequence_id": 98, "annotations": []}
{"role": "student", "content": "yeah, like I put it here", "session_id": 17146, "sequence_id": 99, "annotations": []}
{"role": "volunteer", "content": "So this is one", "session_id": 17146, "sequence_id": 100, "annotations": []}
{"role": "volunteer", "content": "yeah.", "session_id": 17146, "sequence_id": 101, "annotations": []}
{"role": "volunteer", "content": "and then", "session_id": 17146, "sequence_id": 102, "annotations": []}
{"role": "volunteer", "content": "if that's one, then somewhere over here, what would that be?", "session_id": 17146, "sequence_id": 103, "annotations": []}
{"role": "volunteer", "content": "Nice, yeah", "session_id": 17146, "sequence_id": 104, "annotations": []}
{"role": "student", "content": "the 27 3 would be over there.", "session_id": 17146, "sequence_id": 105, "annotations": []}
{"role": "volunteer", "content": "I want the sauce.", "session_id": 17146, "sequence_id": 106, "annotations": []}
{"role": "volunteer", "content": "Oops", "session_id": 17146, "sequence_id": 107, "annotations": []}
{"role": "volunteer", "content": "I didn't mean to draw that", "session_id": 17146, "sequence_id": 108, "annotations": []}
{"role": "volunteer", "content": "Wait, how I", "session_id": 17146, "sequence_id": 109, "annotations": []}
{"role": "student", "content": "It's OK", "session_id": 17146, "sequence_id": 110, "annotations": []}
{"role": "volunteer", "content": "Wait, how do I move from side to side on this.", "session_id": 17146, "sequence_id": 111, "annotations": []}
{"role": "volunteer", "content": "whiteboard", "session_id": 17146, "sequence_id": 112, "annotations": []}
{"role": "student", "content": "Um", "session_id": 17146, "sequence_id": 113, "annotations": []}
{"role": "volunteer", "content": "anarchy.", "session_id": 17146, "sequence_id": 114, "annotations": []}
{"role": "student", "content": "I'm trying to figure that out too.", "session_id": 17146, "sequence_id": 115, "annotations": []}
{"role": "volunteer", "content": "I don't think you can", "session_id": 17146, "sequence_id": 116, "annotations": []}
{"role": "student", "content": "OK", "session_id": 17146, "sequence_id": 117, "annotations": []}
{"role": "volunteer", "content": "but this is, that's not very well designed. That's interesting.", "session_id": 17146, "sequence_id": 118, "annotations": []}
{"role": "student", "content": "I can just do this real quick.", "session_id": 17146, "sequence_id": 119, "annotations": []}
{"role": "student", "content": "1 2nd", "session_id": 17146, "sequence_id": 120, "annotations": []}
{"role": "volunteer", "content": "All right, yeah", "session_id": 17146, "sequence_id": 121, "annotations": []}
{"role": "volunteer", "content": "Is that gonna be the news er?", "session_id": 17146, "sequence_id": 122, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 17146, "sequence_id": 123, "annotations": []}
{"role": "volunteer", "content": "OK, yes, that's good, yeah.", "session_id": 17146, "sequence_id": 124, "annotations": []}
{"role": "volunteer", "content": "And then.", "session_id": 17146, "sequence_id": 125, "annotations": []}
{"role": "volunteer", "content": "um", "session_id": 17146, "sequence_id": 126, "annotations": []}
{"role": "volunteer", "content": "you know we can keep", "session_id": 17146, "sequence_id": 127, "annotations": []}
{"role": "volunteer", "content": "I think we can keep those marks there", "session_id": 17146, "sequence_id": 128, "annotations": []}
{"role": "volunteer", "content": "but we just have to renumber them", "session_id": 17146, "sequence_id": 129, "annotations": []}
{"role": "volunteer", "content": "uh, let's hope my.", "session_id": 17146, "sequence_id": 130, "annotations": []}
{"role": "student", "content": "so", "session_id": 17146, "sequence_id": 131, "annotations": []}
{"role": "volunteer", "content": "I, I", "session_id": 17146, "sequence_id": 132, "annotations": []}
{"role": "volunteer", "content": "excuse me, uh, why isn't that?", "session_id": 17146, "sequence_id": 133, "annotations": []}
{"role": "volunteer", "content": "Hm.", "session_id": 17146, "sequence_id": 134, "annotations": []}
{"role": "volunteer", "content": "Dude, I'm not even that old yet. I feel so trying to use this technology. It might be over.", "session_id": 17146, "sequence_id": 135, "annotations": []}
{"role": "student", "content": "OK", "session_id": 17146, "sequence_id": 136, "annotations": []}
{"role": "volunteer", "content": "OK, sorry, yeah, what, what would 7/3 be on the thing we have right now, the number we have right now.", "session_id": 17146, "sequence_id": 137, "annotations": []}
{"role": "student", "content": "Um", "session_id": 17146, "sequence_id": 138, "annotations": []}
{"role": "student", "content": "if it is with the denominator, then I would say it would be like", "session_id": 17146, "sequence_id": 139, "annotations": []}
{"role": "student", "content": "um", "session_id": 17146, "sequence_id": 140, "annotations": []}
{"role": "student", "content": "like over here.", "session_id": 17146, "sequence_id": 141, "annotations": []}
{"role": "volunteer", "content": "Over here", "session_id": 17146, "sequence_id": 142, "annotations": []}
{"role": "student", "content": "Yeah.", "session_id": 17146, "sequence_id": 143, "annotations": []}
{"role": "volunteer", "content": "Mm, let me think", "session_id": 17146, "sequence_id": 144, "annotations": []}
{"role": "volunteer", "content": "OK, so the thing is", "session_id": 17146, "sequence_id": 145, "annotations": []}
{"role": "volunteer", "content": "the", "session_id": 17146, "sequence_id": 146, "annotations": []}
{"role": "volunteer", "content": "denominator, uh, let me, let me try to take a way to explain this. So", "session_id": 17146, "sequence_id": 147, "annotations": []}
{"role": "volunteer", "content": "just because it's 3 on the denominator doesn't mean it's going to be bigger than 3. The for example, if you have um 3/3, right? That would be", "session_id": 17146, "sequence_id": 148, "annotations": []}
{"role": "volunteer", "content": "1/3", "session_id": 17146, "sequence_id": 149, "annotations": []}
{"role": "volunteer", "content": "and then it will be just 3 of 1/3, right?", "session_id": 17146, "sequence_id": 150, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 17146, "sequence_id": 151, "annotations": []}
{"role": "volunteer", "content": "So", "session_id": 17146, "sequence_id": 152, "annotations": []}
{"role": "volunteer", "content": "uh, what's 3 divided by 3?", "session_id": 17146, "sequence_id": 153, "annotations": []}
{"role": "student", "content": "30 divided by 3 is 1.", "session_id": 17146, "sequence_id": 154, "annotations": []}
{"role": "volunteer", "content": "Right. So one is technically also pre-divided by 3, right?", "session_id": 17146, "sequence_id": 155, "annotations": []}
{"role": "student", "content": "Yeah.", "session_id": 17146, "sequence_id": 156, "annotations": []}
{"role": "volunteer", "content": "And", "session_id": 17146, "sequence_id": 157, "annotations": []}
{"role": "volunteer", "content": "excuse me, so at 1/3 is 3.", "session_id": 17146, "sequence_id": 158, "annotations": []}
{"role": "volunteer", "content": "Wait, sorry, 3/3 is 3 times", "session_id": 17146, "sequence_id": 159, "annotations": []}
{"role": "volunteer", "content": "1/3, right? Because there's 3 of them.", "session_id": 17146, "sequence_id": 160, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 17146, "sequence_id": 161, "annotations": []}
{"role": "volunteer", "content": "that makes sense. Does that make sense to you?", "session_id": 17146, "sequence_id": 162, "annotations": []}
{"role": "student", "content": "Yeah, that makes sense. I understand.", "session_id": 17146, "sequence_id": 163, "annotations": []}
{"role": "volunteer", "content": "So,", "session_id": 17146, "sequence_id": 164, "annotations": []}
{"role": "volunteer", "content": "I'll drop this little bit for you.", "session_id": 17146, "sequence_id": 165, "annotations": []}
{"role": "volunteer", "content": "So you see how despite the 3 being on the denominator.", "session_id": 17146, "sequence_id": 166, "annotations": []}
{"role": "volunteer", "content": "That doesn't automatically mean it's going to be 3 plus something.", "session_id": 17146, "sequence_id": 167, "annotations": []}
{"role": "volunteer", "content": "because with fractions, it's actually division.", "session_id": 17146, "sequence_id": 168, "annotations": []}
{"role": "volunteer", "content": "So", "session_id": 17146, "sequence_id": 169, "annotations": []}
{"role": "volunteer", "content": "essentially, what, what this is supposed to show is the top number divided.", "session_id": 17146, "sequence_id": 170, "annotations": []}
{"role": "volunteer", "content": "by that's great", "session_id": 17146, "sequence_id": 171, "annotations": []}
{"role": "volunteer", "content": "Yeah.", "session_id": 17146, "sequence_id": 172, "annotations": []}
{"role": "student", "content": "Because the fraction sign is really just a division sign.", "session_id": 17146, "sequence_id": 173, "annotations": []}
{"role": "volunteer", "content": "Yeah, yeah, yeah, exactly, exactly. You're right. So you just take the top number and divide it by the bottom number.", "session_id": 17146, "sequence_id": 174, "annotations": []}
{"role": "volunteer", "content": "So I, I know you can't do 7/3 because that's not a whole number. But if you were to take a guest, where would that like be roughly like bigger than 2, smaller than 2?", "session_id": 17146, "sequence_id": 175, "annotations": []}
{"role": "student", "content": "Um", "session_id": 17146, "sequence_id": 176, "annotations": []}
{"role": "student", "content": "like", "session_id": 17146, "sequence_id": 177, "annotations": []}
{"role": "student", "content": "this", "session_id": 17146, "sequence_id": 178, "annotations": []}
{"role": "student", "content": "right here", "session_id": 17146, "sequence_id": 179, "annotations": []}
{"role": "volunteer", "content": "Yeah, exactly. Good job. Yeah, that's literally 7/3.", "session_id": 17146, "sequence_id": 180, "annotations": []}
{"role": "volunteer", "content": "Um, I guess another way you can look at this.", "session_id": 17146, "sequence_id": 181, "annotations": []}
{"role": "volunteer", "content": "is to see how many times 7 go into 23, without going over.", "session_id": 17146, "sequence_id": 182, "annotations": []}
{"role": "volunteer", "content": "So how many times does 7 go into 3 without going over.", "session_id": 17146, "sequence_id": 183, "annotations": []}
{"role": "student", "content": "Um, let me think.", "session_id": 17146, "sequence_id": 184, "annotations": []}
{"role": "student", "content": "010.", "session_id": 17146, "sequence_id": 185, "annotations": []}
{"role": "student", "content": "That's fine", "session_id": 17146, "sequence_id": 186, "annotations": []}
{"role": "volunteer", "content": "Oh, no, no wait, no, sorry, no, I didn't instru, I didn't, um, that wasn't a very good question.", "session_id": 17146, "sequence_id": 187, "annotations": []}
{"role": "volunteer", "content": "What what's the closest that 3 has to like", "session_id": 17146, "sequence_id": 188, "annotations": []}
{"role": "student", "content": "So, um", "session_id": 17146, "sequence_id": 189, "annotations": []}
{"role": "volunteer", "content": "what's the closest visible number.", "session_id": 17146, "sequence_id": 190, "annotations": []}
{"role": "volunteer", "content": "Yeah, sorry, what's that", "session_id": 17146, "sequence_id": 191, "annotations": []}
{"role": "student", "content": "I would say 3 times 2 gets it to 6, and that's pretty close to 7.", "session_id": 17146, "sequence_id": 192, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 17146, "sequence_id": 193, "annotations": []}
{"role": "volunteer", "content": "right, so you got 3 x 2", "session_id": 17146, "sequence_id": 194, "annotations": []}
{"role": "volunteer", "content": "and in terms of if you're running it over like, for example, you put a number over here, over 3.", "session_id": 17146, "sequence_id": 195, "annotations": []}
{"role": "volunteer", "content": "What, what would, um, what number should go up here to make something divided by 3 goes 2.", "session_id": 17146, "sequence_id": 196, "annotations": []}
{"role": "student", "content": "Um", "session_id": 17146, "sequence_id": 197, "annotations": []}
{"role": "volunteer", "content": "Something divided by 3 is equal to 2.", "session_id": 17146, "sequence_id": 198, "annotations": []}
{"role": "student", "content": "The 5th", "session_id": 17146, "sequence_id": 199, "annotations": []}
{"role": "volunteer", "content": "Well, what, yeah.", "session_id": 17146, "sequence_id": 200, "annotations": []}
{"role": "volunteer", "content": "6", "session_id": 17146, "sequence_id": 201, "annotations": []}
{"role": "volunteer", "content": "over 3", "session_id": 17146, "sequence_id": 202, "annotations": []}
{"role": "student", "content": "Oh", "session_id": 17146, "sequence_id": 203, "annotations": []}
{"role": "student", "content": "OK, cause they're not equals the 2.", "session_id": 17146, "sequence_id": 204, "annotations": []}
{"role": "volunteer", "content": "Yes, and then now you have a remainder because obviously 7", "session_id": 17146, "sequence_id": 205, "annotations": []}
{"role": "volunteer", "content": "m 16 and you have 1", "session_id": 17146, "sequence_id": 206, "annotations": []}
{"role": "volunteer", "content": "and then", "session_id": 17146, "sequence_id": 207, "annotations": []}
{"role": "volunteer", "content": "2 and 1/3 is equal to 7/3, you got, you, um, you got 6/3, and you know 6/3 is equal to 2.", "session_id": 17146, "sequence_id": 208, "annotations": []}
{"role": "student", "content": "Yeah, so it would", "session_id": 17146, "sequence_id": 209, "annotations": []}
{"role": "volunteer", "content": "And then you add, add in the, yeah.", "session_id": 17146, "sequence_id": 210, "annotations": []}
{"role": "volunteer", "content": "Does, does that help you understand fractions a little more.", "session_id": 17146, "sequence_id": 211, "annotations": []}
{"role": "student", "content": "yeah, I understand", "session_id": 17146, "sequence_id": 212, "annotations": []}
{"role": "student", "content": "Yeah, I understand that", "session_id": 17146, "sequence_id": 213, "annotations": []}
{"role": "volunteer", "content": "OK. Yeah, I'm, I'm glad you understand it. OK, so let's do a practice problem. Let me think.", "session_id": 17146, "sequence_id": 214, "annotations": []}
{"role": "student", "content": "OK", "session_id": 17146, "sequence_id": 215, "annotations": []}
{"role": "volunteer", "content": "If I were to tell you", "session_id": 17146, "sequence_id": 216, "annotations": []}
{"role": "volunteer", "content": "to put, uh, let's work with 4 this time.", "session_id": 17146, "sequence_id": 217, "annotations": []}
{"role": "volunteer", "content": "And let's say I 15/4. What would that go?", "session_id": 17146, "sequence_id": 218, "annotations": []}
{"role": "volunteer", "content": "Oh yeah, yeah", "session_id": 17146, "sequence_id": 219, "annotations": []}
{"role": "student", "content": "OK, so one question about this before. So if I'm finding the distance between two numbers, would I like find where they", "session_id": 17146, "sequence_id": 220, "annotations": []}
{"role": "student", "content": "both go and then like count how many like spaces.", "session_id": 17146, "sequence_id": 221, "annotations": []}
{"role": "volunteer", "content": "I guess you wouldn't count the spaces, you would just subtract them from each other.", "session_id": 17146, "sequence_id": 222, "annotations": []}
{"role": "student", "content": "OK", "session_id": 17146, "sequence_id": 223, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 17146, "sequence_id": 224, "annotations": []}
{"role": "volunteer", "content": "Um, do you have any other questions? Sorry, I should have asked that.", "session_id": 17146, "sequence_id": 225, "annotations": []}
{"role": "student", "content": "so that's it", "session_id": 17146, "sequence_id": 226, "annotations": []}
{"role": "volunteer", "content": "OK, OK", "session_id": 17146, "sequence_id": 227, "annotations": []}
{"role": "volunteer", "content": "So before we move on to this, you know.", "session_id": 17146, "sequence_id": 228, "annotations": []}
{"role": "volunteer", "content": "so yeah, before we move on to root 25/4, try, try putting 15/4 on the number line.", "session_id": 17146, "sequence_id": 229, "annotations": []}
{"role": "student", "content": "It.", "session_id": 17146, "sequence_id": 230, "annotations": []}
{"role": "volunteer", "content": "Just as an example or practice, I guess.", "session_id": 17146, "sequence_id": 231, "annotations": []}
{"role": "student", "content": "15/4, so.", "session_id": 17146, "sequence_id": 232, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 17146, "sequence_id": 233, "annotations": []}
{"role": "student", "content": "I first have to define.", "session_id": 17146, "sequence_id": 234, "annotations": []}
{"role": "volunteer", "content": "If you want, you can try using this method where you try to find how many times it goes into.", "session_id": 17146, "sequence_id": 235, "annotations": []}
{"role": "volunteer", "content": "And like this big number can be your basis.", "session_id": 17146, "sequence_id": 236, "annotations": []}
{"role": "volunteer", "content": "or you can use", "session_id": 17146, "sequence_id": 237, "annotations": []}
{"role": "volunteer", "content": "uh what is it? Actually, no, I think the wait, no, sorry, I'm", "session_id": 17146, "sequence_id": 238, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 17146, "sequence_id": 239, "annotations": []}
{"role": "volunteer", "content": "by the way, this is like, I think my first time teaching eighth grade math. So that would be for a little bit.", "session_id": 17146, "sequence_id": 240, "annotations": [{"pii_type": "GRADE_LEVEL", "surrogate": "eighth grade", "start": 57, "end": 69}]}
{"role": "student", "content": "It's OK", "session_id": 17146, "sequence_id": 241, "annotations": []}
{"role": "student", "content": "Um", "session_id": 17146, "sequence_id": 242, "annotations": []}
{"role": "student", "content": "so", "session_id": 17146, "sequence_id": 243, "annotations": []}
{"role": "student", "content": "wouldn't it be 3. like 7 something.", "session_id": 17146, "sequence_id": 244, "annotations": []}
{"role": "volunteer", "content": "It is somethingmething, so because um", "session_id": 17146, "sequence_id": 245, "annotations": []}
{"role": "volunteer", "content": "pre, well yeah, you, you know.", "session_id": 17146, "sequence_id": 246, "annotations": []}
{"role": "volunteer", "content": "12 goes into 43 times.", "session_id": 17146, "sequence_id": 247, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 17146, "sequence_id": 248, "annotations": []}
{"role": "volunteer", "content": "and then", "session_id": 17146, "sequence_id": 249, "annotations": []}
{"role": "volunteer", "content": "you have to, yeah, correct.", "session_id": 17146, "sequence_id": 250, "annotations": []}
{"role": "volunteer", "content": "It's", "session_id": 17146, "sequence_id": 251, "annotations": []}
{"role": "volunteer", "content": "yeah, 3.7, 3.75, which is 3 3/4.", "session_id": 17146, "sequence_id": 252, "annotations": []}
{"role": "student", "content": "OK", "session_id": 17146, "sequence_id": 253, "annotations": []}
{"role": "volunteer", "content": "So yeah, OK. So you, congratulations, you now know how to put numbers on the number line. Now, let's tackle", "session_id": 17146, "sequence_id": 254, "annotations": []}
{"role": "volunteer", "content": "this thing in my jig.", "session_id": 17146, "sequence_id": 255, "annotations": []}
{"role": "volunteer", "content": "Um, first of all, do you know what the, the little weird looking slope", "session_id": 17146, "sequence_id": 256, "annotations": []}
{"role": "volunteer", "content": "thing in my jig do", "session_id": 17146, "sequence_id": 257, "annotations": []}
{"role": "student", "content": "um", "session_id": 17146, "sequence_id": 258, "annotations": []}
{"role": "volunteer", "content": "This missable", "session_id": 17146, "sequence_id": 259, "annotations": []}
{"role": "student", "content": "uh, what is it, uh, I don't know what it's called.", "session_id": 17146, "sequence_id": 260, "annotations": []}
{"role": "student", "content": "Oh wait", "session_id": 17146, "sequence_id": 261, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 17146, "sequence_id": 262, "annotations": []}
{"role": "student", "content": "this", "session_id": 17146, "sequence_id": 263, "annotations": []}
{"role": "volunteer", "content": "No, this symbol", "session_id": 17146, "sequence_id": 264, "annotations": []}
{"role": "student", "content": "oh, I don't know what it's called, but like,", "session_id": 17146, "sequence_id": 265, "annotations": []}
{"role": "student", "content": "I know", "session_id": 17146, "sequence_id": 266, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 17146, "sequence_id": 267, "annotations": []}
{"role": "volunteer", "content": "I", "session_id": 17146, "sequence_id": 268, "annotations": []}
{"role": "student", "content": "like square root", "session_id": 17146, "sequence_id": 269, "annotations": []}
{"role": "volunteer", "content": "yeah", "session_id": 17146, "sequence_id": 270, "annotations": []}
{"role": "volunteer", "content": "or you can call it root for short. Um, so essentially, square root", "session_id": 17146, "sequence_id": 271, "annotations": []}
{"role": "volunteer", "content": "is two numbers that are the same that multiply to make the number inside the square root.", "session_id": 17146, "sequence_id": 272, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 17146, "sequence_id": 273, "annotations": []}
{"role": "student", "content": "So", "session_id": 17146, "sequence_id": 274, "annotations": []}
{"role": "volunteer", "content": "So what is, what is two numbers that are the same number that multiplies to make 4.", "session_id": 17146, "sequence_id": 275, "annotations": []}
{"role": "student", "content": "2", "session_id": 17146, "sequence_id": 276, "annotations": []}
{"role": "volunteer", "content": "Good.", "session_id": 17146, "sequence_id": 277, "annotations": []}
{"role": "volunteer", "content": "2 x 2", "session_id": 17146, "sequence_id": 278, "annotations": []}
{"role": "volunteer", "content": "Um, oh yeah, I should, uh, the dot in when you get to like higher level of maths where you start dealing with", "session_id": 17146, "sequence_id": 279, "annotations": []}
{"role": "student", "content": "because the dot means multiplying, isn't that?", "session_id": 17146, "sequence_id": 280, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 17146, "sequence_id": 281, "annotations": []}
{"role": "volunteer", "content": "Yeah, OK, OK. Yeah, it's just to clarify when you get to uh higher math, you start dealing with letters, and that's going to be pretty fun.", "session_id": 17146, "sequence_id": 282, "annotations": []}
{"role": "student", "content": "Oh", "session_id": 17146, "sequence_id": 283, "annotations": []}
{"role": "volunteer", "content": "And obviously, this is gonna be the letter X and you don't want to miss, like you don't want to misunderstood the letter X and the multiplication symbol. So when you get to higher maps, it just turns into a dot. Also, for me, it's easier to write, but sorry, that I got a little off topic there. Anyways, um", "session_id": 17146, "sequence_id": 284, "annotations": []}
{"role": "student", "content": "No, it's fine", "session_id": 17146, "sequence_id": 285, "annotations": []}
{"role": "volunteer", "content": "2 x 2, obviously good.", "session_id": 17146, "sequence_id": 286, "annotations": []}
{"role": "volunteer", "content": "actually", "session_id": 17146, "sequence_id": 287, "annotations": []}
{"role": "volunteer", "content": "you find the first part of the problem", "session_id": 17146, "sequence_id": 288, "annotations": []}
{"role": "volunteer", "content": "So when, when you write like a square, oh, I didn't mean that to go into the two whoopsies. When you write like a square root of a fraction", "session_id": 17146, "sequence_id": 289, "annotations": []}
{"role": "volunteer", "content": "in this case 25/4.", "session_id": 17146, "sequence_id": 290, "annotations": []}
{"role": "volunteer", "content": "What it's really asking you", "session_id": 17146, "sequence_id": 291, "annotations": []}
{"role": "volunteer", "content": "history of 25", "session_id": 17146, "sequence_id": 292, "annotations": []}
{"role": "volunteer", "content": "over square root of 4", "session_id": 17146, "sequence_id": 293, "annotations": []}
{"role": "student", "content": "I'll so you have to figure out the square root for both and then divide it.", "session_id": 17146, "sequence_id": 294, "annotations": []}
{"role": "volunteer", "content": "Um, figure out the screw for both, and which would give you the fraction.", "session_id": 17146, "sequence_id": 295, "annotations": []}
{"role": "volunteer", "content": "um", "session_id": 17146, "sequence_id": 296, "annotations": []}
{"role": "volunteer", "content": "so, by the way, when, when you square root, you only write down one of the number that what the ah wait, so yeah, so, security of 4.", "session_id": 17146, "sequence_id": 297, "annotations": []}
{"role": "volunteer", "content": "is 2 x 2. So you only write down 2.", "session_id": 17146, "sequence_id": 298, "annotations": []}
{"role": "volunteer", "content": "You you don't have to write anything else, just write it down, yeah.", "session_id": 17146, "sequence_id": 299, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 17146, "sequence_id": 300, "annotations": []}
{"role": "volunteer", "content": "And then scare the 5, what are 2 numbers that are the same, that multiplies up to 25.", "session_id": 17146, "sequence_id": 301, "annotations": []}
{"role": "student", "content": "Uh, 5 times 5.", "session_id": 17146, "sequence_id": 302, "annotations": []}
{"role": "volunteer", "content": "Good. And how will we read that write that?", "session_id": 17146, "sequence_id": 303, "annotations": []}
{"role": "volunteer", "content": "in this space", "session_id": 17146, "sequence_id": 304, "annotations": []}
{"role": "student", "content": "Um.", "session_id": 17146, "sequence_id": 305, "annotations": []}
{"role": "volunteer", "content": "I'll scroll down a little, sorry. Um", "session_id": 17146, "sequence_id": 306, "annotations": []}
{"role": "student", "content": "where", "session_id": 17146, "sequence_id": 307, "annotations": []}
{"role": "student", "content": "um", "session_id": 17146, "sequence_id": 308, "annotations": []}
{"role": "student", "content": "gosh, this skirt", "session_id": 17146, "sequence_id": 309, "annotations": []}
{"role": "student", "content": "Ah.", "session_id": 17146, "sequence_id": 310, "annotations": []}
{"role": "volunteer", "content": "Don't worry about it", "session_id": 17146, "sequence_id": 311, "annotations": []}
{"role": "student", "content": "I think I'm bad at technology. Uh", "session_id": 17146, "sequence_id": 312, "annotations": []}
{"role": "student", "content": "what is going on? OK.", "session_id": 17146, "sequence_id": 313, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 17146, "sequence_id": 314, "annotations": []}
{"role": "student", "content": "Like great", "session_id": 17146, "sequence_id": 315, "annotations": []}
{"role": "student", "content": "like that", "session_id": 17146, "sequence_id": 316, "annotations": []}
{"role": "volunteer", "content": "There. OK", "session_id": 17146, "sequence_id": 317, "annotations": []}
{"role": "volunteer", "content": "And", "session_id": 17146, "sequence_id": 318, "annotations": []}
{"role": "volunteer", "content": "oh, you got your fraction", "session_id": 17146, "sequence_id": 319, "annotations": []}
{"role": "student", "content": "Uh", "session_id": 17146, "sequence_id": 320, "annotations": []}
{"role": "volunteer", "content": "fraction. I don't need to write down for you. You're smart enough for that.", "session_id": 17146, "sequence_id": 321, "annotations": []}
{"role": "volunteer", "content": "Yeah, so this is your fraction", "session_id": 17146, "sequence_id": 322, "annotations": []}
{"role": "volunteer", "content": "5/2", "session_id": 17146, "sequence_id": 323, "annotations": []}
{"role": "volunteer", "content": "Ah, and well, what do you think 5 or 2 goes on the number line.", "session_id": 17146, "sequence_id": 324, "annotations": []}
{"role": "student", "content": "Um, she'd have to do", "session_id": 17146, "sequence_id": 325, "annotations": []}
{"role": "student", "content": "all right", "session_id": 17146, "sequence_id": 326, "annotations": []}
{"role": "student", "content": "uh", "session_id": 17146, "sequence_id": 327, "annotations": []}
{"role": "student", "content": "2.5.", "session_id": 17146, "sequence_id": 328, "annotations": []}
{"role": "volunteer", "content": "Yup, correct", "session_id": 17146, "sequence_id": 329, "annotations": []}
{"role": "student", "content": "So like", "session_id": 17146, "sequence_id": 330, "annotations": []}
{"role": "student", "content": "right here.", "session_id": 17146, "sequence_id": 331, "annotations": []}
{"role": "volunteer", "content": "Nice. So this is", "session_id": 17146, "sequence_id": 332, "annotations": []}
{"role": "volunteer", "content": "um", "session_id": 17146, "sequence_id": 333, "annotations": []}
{"role": "volunteer", "content": "so this number", "session_id": 17146, "sequence_id": 334, "annotations": []}
{"role": "volunteer", "content": "and", "session_id": 17146, "sequence_id": 335, "annotations": []}
{"role": "volunteer", "content": "where do we put what's 07 or 3, yeah.", "session_id": 17146, "sequence_id": 336, "annotations": []}
{"role": "volunteer", "content": "Actually, have you ever Algebra II? I don't think we have plot 7 or 3. OK, yeah, 1 was 7/3 goal on the number landed.", "session_id": 17146, "sequence_id": 337, "annotations": []}
{"role": "student", "content": "Um", "session_id": 17146, "sequence_id": 338, "annotations": []}
{"role": "student", "content": "it was right here.", "session_id": 17146, "sequence_id": 339, "annotations": []}
{"role": "student", "content": "Uh, it's the", "session_id": 17146, "sequence_id": 340, "annotations": []}
{"role": "volunteer", "content": "Right here. OK. Oh yeah, yeah, we did, we did, we did plot it, oops.", "session_id": 17146, "sequence_id": 341, "annotations": []}
{"role": "volunteer", "content": "I forgot. OK", "session_id": 17146, "sequence_id": 342, "annotations": []}
{"role": "volunteer", "content": "Now.", "session_id": 17146, "sequence_id": 343, "annotations": []}
{"role": "volunteer", "content": "um, scroll down a little past the", "session_id": 17146, "sequence_id": 344, "annotations": []}
{"role": "student", "content": "OK", "session_id": 17146, "sequence_id": 345, "annotations": []}
{"role": "volunteer", "content": "past the square root bit. So now you have 7/3.", "session_id": 17146, "sequence_id": 346, "annotations": []}
{"role": "volunteer", "content": "and you have uh what 5/2.", "session_id": 17146, "sequence_id": 347, "annotations": []}
{"role": "student", "content": "Yeah.", "session_id": 17146, "sequence_id": 348, "annotations": []}
{"role": "volunteer", "content": "Do you know how to find the difference between fractions.", "session_id": 17146, "sequence_id": 349, "annotations": []}
{"role": "student", "content": "I would think it would be the subtractive.", "session_id": 17146, "sequence_id": 350, "annotations": []}
{"role": "volunteer", "content": "Different, yeah, difference is subtracting.", "session_id": 17146, "sequence_id": 351, "annotations": []}
{"role": "student", "content": "So what you have to find like the common denominator thing.", "session_id": 17146, "sequence_id": 352, "annotations": []}
{"role": "volunteer", "content": "Yup, correct. That is the first step.", "session_id": 17146, "sequence_id": 353, "annotations": []}
{"role": "volunteer", "content": "So what's a common denominator for 3 and 2.", "session_id": 17146, "sequence_id": 354, "annotations": []}
{"role": "student", "content": "Um", "session_id": 17146, "sequence_id": 355, "annotations": []}
{"role": "volunteer", "content": "OK, yeah. All righty. I think you got this stuff. I'll let you work.", "session_id": 17146, "sequence_id": 356, "annotations": []}
{"role": "student", "content": "OK", "session_id": 17146, "sequence_id": 357, "annotations": []}
{"role": "student", "content": "OK", "session_id": 17146, "sequence_id": 358, "annotations": []}
{"role": "volunteer", "content": "Very nice", "session_id": 17146, "sequence_id": 359, "annotations": []}
{"role": "volunteer", "content": "So the difference be", "session_id": 17146, "sequence_id": 360, "annotations": []}
{"role": "student", "content": "Uh, it would be", "session_id": 17146, "sequence_id": 361, "annotations": []}
{"role": "student", "content": "-1", "session_id": 17146, "sequence_id": 362, "annotations": []}
{"role": "volunteer", "content": "No, well, it's not negative.", "session_id": 17146, "sequence_id": 363, "annotations": []}
{"role": "volunteer", "content": "but I think, I think the number you got is correct.", "session_id": 17146, "sequence_id": 364, "annotations": []}
{"role": "volunteer", "content": "But", "session_id": 17146, "sequence_id": 365, "annotations": []}
{"role": "student", "content": "So just one", "session_id": 17146, "sequence_id": 366, "annotations": []}
{"role": "volunteer", "content": "wait, wait, one?", "session_id": 17146, "sequence_id": 367, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 17146, "sequence_id": 368, "annotations": []}
{"role": "volunteer", "content": "Like, no, no fraction. Whoa, whoa, whoa, hang on. You do need a fraction.", "session_id": 17146, "sequence_id": 369, "annotations": []}
{"role": "student", "content": "Oh, that did not", "session_id": 17146, "sequence_id": 370, "annotations": []}
{"role": "student", "content": "Oh", "session_id": 17146, "sequence_id": 371, "annotations": []}
{"role": "student", "content": "so it needs to be in a", "session_id": 17146, "sequence_id": 372, "annotations": []}
{"role": "student", "content": "So I put it into two fractions.", "session_id": 17146, "sequence_id": 373, "annotations": []}
{"role": "volunteer", "content": "Yeah, there's 2 fractions", "session_id": 17146, "sequence_id": 374, "annotations": []}
{"role": "student", "content": "So don't I have to subtract them?", "session_id": 17146, "sequence_id": 375, "annotations": []}
{"role": "volunteer", "content": "Mhm, yeah", "session_id": 17146, "sequence_id": 376, "annotations": []}
{"role": "volunteer", "content": "The number is correct, but again, you don't need the negative sign. Here's the thing.", "session_id": 17146, "sequence_id": 377, "annotations": []}
{"role": "volunteer", "content": "You, you can't have negative distance.", "session_id": 17146, "sequence_id": 378, "annotations": []}
{"role": "volunteer", "content": "between two objects, right? Let's say", "session_id": 17146, "sequence_id": 379, "annotations": []}
{"role": "volunteer", "content": "there's a, um, let's say there's a lamp 1 ft across from me in my room. Let's just say for example.", "session_id": 17146, "sequence_id": 380, "annotations": []}
{"role": "student", "content": "OK", "session_id": 17146, "sequence_id": 381, "annotations": []}
{"role": "student", "content": "Yeah.", "session_id": 17146, "sequence_id": 382, "annotations": []}
{"role": "volunteer", "content": "Now, 1 ft would mean that group lamp is literally nowhere because in real life", "session_id": 17146, "sequence_id": 383, "annotations": []}
{"role": "volunteer", "content": "no matter how far away you are from an object, the distance never goes negative, right?", "session_id": 17146, "sequence_id": 384, "annotations": []}
{"role": "student", "content": "Yeah.", "session_id": 17146, "sequence_id": 385, "annotations": []}
{"role": "volunteer", "content": "As if you get, if it's like directly on top of you, then maybe it's zero distance, maybe, but.", "session_id": 17146, "sequence_id": 386, "annotations": []}
{"role": "volunteer", "content": "you can't have negative distance because that's, that's going to be inside the object is inside and um I don't think that's healthy for the human body.", "session_id": 17146, "sequence_id": 387, "annotations": []}
{"role": "student", "content": "Oh, OK", "session_id": 17146, "sequence_id": 388, "annotations": []}
{"role": "volunteer", "content": "Uh, yeah, but the main point is, if you're talking about distance, it does not go negative.", "session_id": 17146, "sequence_id": 389, "annotations": []}
{"role": "student", "content": "OK", "session_id": 17146, "sequence_id": 390, "annotations": []}
{"role": "volunteer", "content": "So 1/6 is your final answer. Good. Do you want to practice another problem like this?", "session_id": 17146, "sequence_id": 391, "annotations": []}
{"role": "student", "content": "Um, sure", "session_id": 17146, "sequence_id": 392, "annotations": []}
{"role": "volunteer", "content": "All right, wait, is there, is there any other problems in your homework though that you have to do first?", "session_id": 17146, "sequence_id": 393, "annotations": []}
{"role": "student", "content": "Um, all the rest are just the finding distance.", "session_id": 17146, "sequence_id": 394, "annotations": []}
{"role": "volunteer", "content": "Oh, OK, we can just do those then.", "session_id": 17146, "sequence_id": 395, "annotations": []}
{"role": "student", "content": "OK, I'll write down the problem.", "session_id": 17146, "sequence_id": 396, "annotations": []}
{"role": "volunteer", "content": "Do you want me to clear all the stuff we have on the uh thing, or should we just scroll down?", "session_id": 17146, "sequence_id": 397, "annotations": []}
{"role": "student", "content": "You can clear it if you want, but if it takes a while, then I can just write it.", "session_id": 17146, "sequence_id": 398, "annotations": []}
{"role": "volunteer", "content": "I can straight up delete everything, but I wonder if you need.", "session_id": 17146, "sequence_id": 399, "annotations": []}
{"role": "volunteer", "content": "like some of", "session_id": 17146, "sequence_id": 400, "annotations": []}
{"role": "volunteer", "content": "I guess", "session_id": 17146, "sequence_id": 401, "annotations": []}
{"role": "volunteer", "content": "you have a basic understanding of how", "session_id": 17146, "sequence_id": 402, "annotations": []}
{"role": "volunteer", "content": "the square root and how to plot numbers on a number line, yeah?", "session_id": 17146, "sequence_id": 403, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 17146, "sequence_id": 404, "annotations": []}
{"role": "volunteer", "content": "OK, then I'll delete everything", "session_id": 17146, "sequence_id": 405, "annotations": []}
{"role": "student", "content": "OK", "session_id": 17146, "sequence_id": 406, "annotations": []}
{"role": "volunteer", "content": "Is that 2.4?", "session_id": 17146, "sequence_id": 407, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 17146, "sequence_id": 408, "annotations": []}
{"role": "volunteer", "content": "Oh, and you have fruit of 27. 0.", "session_id": 17146, "sequence_id": 409, "annotations": []}
{"role": "volunteer", "content": "what", "session_id": 17146, "sequence_id": 410, "annotations": []}
{"role": "volunteer", "content": "Are you sure this is tenth grade math. What?", "session_id": 17146, "sequence_id": 411, "annotations": [{"pii_type": "GRADE_LEVEL", "surrogate": "tenth grade", "start": 21, "end": 32}]}
{"role": "student", "content": "Yes", "session_id": 17146, "sequence_id": 412, "annotations": []}
{"role": "volunteer", "content": "Ben, OK. Well, we're cut rooting now, so that's fun.", "session_id": 17146, "sequence_id": 413, "annotations": [{"pii_type": "PERSON", "surrogate": "Ben", "start": 0, "end": 3}]}
{"role": "student", "content": "I can do this part and", "session_id": 17146, "sequence_id": 414, "annotations": []}
{"role": "volunteer", "content": "What, OK.", "session_id": 17146, "sequence_id": 415, "annotations": []}
{"role": "volunteer", "content": "Oh", "session_id": 17146, "sequence_id": 416, "annotations": []}
{"role": "volunteer", "content": "I understand it now. OK, yeah, well, what's the key root of 27.", "session_id": 17146, "sequence_id": 417, "annotations": []}
{"role": "student", "content": "uh, give me one second.", "session_id": 17146, "sequence_id": 418, "annotations": []}
{"role": "student", "content": "Uh", "session_id": 17146, "sequence_id": 419, "annotations": []}
{"role": "volunteer", "content": "Are you putting it into calculators?", "session_id": 17146, "sequence_id": 420, "annotations": []}
{"role": "student", "content": "No, I'm just just deleting the circle, but we can, we're not allowed to use the calculator, sadly.", "session_id": 17146, "sequence_id": 421, "annotations": []}
{"role": "volunteer", "content": "Oh, I see", "session_id": 17146, "sequence_id": 422, "annotations": []}
{"role": "student", "content": "Oh", "session_id": 17146, "sequence_id": 423, "annotations": []}
{"role": "student", "content": "Oh, it's perfect", "session_id": 17146, "sequence_id": 424, "annotations": []}
{"role": "student", "content": "So it's", "session_id": 17146, "sequence_id": 425, "annotations": []}
{"role": "student", "content": "well, it's a perfect cube.", "session_id": 17146, "sequence_id": 426, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 17146, "sequence_id": 427, "annotations": []}
{"role": "student", "content": "the numbers 3.", "session_id": 17146, "sequence_id": 428, "annotations": []}
{"role": "volunteer", "content": "Mhm", "session_id": 17146, "sequence_id": 429, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 17146, "sequence_id": 430, "annotations": []}
{"role": "student", "content": "I think that's all you do for that.", "session_id": 17146, "sequence_id": 431, "annotations": []}
{"role": "volunteer", "content": "So your final answer is 3.", "session_id": 17146, "sequence_id": 432, "annotations": []}
{"role": "student", "content": "Yeah.", "session_id": 17146, "sequence_id": 433, "annotations": []}
{"role": "volunteer", "content": "That's correct? OK.", "session_id": 17146, "sequence_id": 434, "annotations": []}
{"role": "volunteer", "content": "Well", "session_id": 17146, "sequence_id": 435, "annotations": []}
{"role": "volunteer", "content": "well, wait, does it also asking you to plot on this one, or is it just finding the distance or differences.", "session_id": 17146, "sequence_id": 436, "annotations": []}
{"role": "student", "content": "I've planned the distance between 2.4 and", "session_id": 17146, "sequence_id": 437, "annotations": []}
{"role": "student", "content": "2", "session_id": 17146, "sequence_id": 438, "annotations": []}
{"role": "student", "content": "27", "session_id": 17146, "sequence_id": 439, "annotations": []}
{"role": "volunteer", "content": "Cube roots of 27, very close, you know, is this a new topic that you just learned?", "session_id": 17146, "sequence_id": 440, "annotations": []}
{"role": "student", "content": "Uh", "session_id": 17146, "sequence_id": 441, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 17146, "sequence_id": 442, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 17146, "sequence_id": 443, "annotations": []}
{"role": "volunteer", "content": "Right. Well, yeah, cure of 27, you got that native 2.4. Dance native 2.4.", "session_id": 17146, "sequence_id": 444, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 17146, "sequence_id": 445, "annotations": []}
{"role": "volunteer", "content": "Well, the", "session_id": 17146, "sequence_id": 446, "annotations": []}
{"role": "volunteer", "content": "do you not you find a distance between the two.", "session_id": 17146, "sequence_id": 447, "annotations": []}
{"role": "student", "content": "Um", "session_id": 17146, "sequence_id": 448, "annotations": []}
{"role": "student", "content": "I thought, I think it's the subtracting thing again.", "session_id": 17146, "sequence_id": 449, "annotations": []}
{"role": "volunteer", "content": "Mm.", "session_id": 17146, "sequence_id": 450, "annotations": []}
{"role": "student", "content": "but I don't know how I would check those, well,", "session_id": 17146, "sequence_id": 451, "annotations": []}
{"role": "student", "content": "uh oh.", "session_id": 17146, "sequence_id": 452, "annotations": []}
{"role": "student", "content": "it's a trap", "session_id": 17146, "sequence_id": 453, "annotations": []}
{"role": "volunteer", "content": "Well", "session_id": 17146, "sequence_id": 454, "annotations": []}
{"role": "volunteer", "content": "what, when you're finding the distance.", "session_id": 17146, "sequence_id": 455, "annotations": []}
{"role": "volunteer", "content": "um, I recommend cutting the bigger number first.", "session_id": 17146, "sequence_id": 456, "annotations": []}
{"role": "volunteer", "content": "and then subtracting it by the smaller number.", "session_id": 17146, "sequence_id": 457, "annotations": []}
{"role": "student", "content": "OK, so", "session_id": 17146, "sequence_id": 458, "annotations": []}
{"role": "volunteer", "content": "So here's here's a funny rule about mathematics. What do you think happens when you subtract an already negative number.", "session_id": 17146, "sequence_id": 459, "annotations": []}
{"role": "student", "content": "uh, I think I don't remember, but I think 2 negatives equal positive.", "session_id": 17146, "sequence_id": 460, "annotations": []}
{"role": "volunteer", "content": "Oh wow, correct. Yeah, 22 negatives equal to 1 positive.", "session_id": 17146, "sequence_id": 461, "annotations": []}
{"role": "student", "content": "So you would add them, I think.", "session_id": 17146, "sequence_id": 462, "annotations": []}
{"role": "volunteer", "content": "Yup", "session_id": 17146, "sequence_id": 463, "annotations": []}
{"role": "student", "content": "OK, so 5", "session_id": 17146, "sequence_id": 464, "annotations": []}
{"role": "student", "content": "weeks", "session_id": 17146, "sequence_id": 465, "annotations": []}
{"role": "student", "content": "4.", "session_id": 17146, "sequence_id": 466, "annotations": []}
{"role": "volunteer", "content": "Nice. Yeah. So what, what does the number 5.4 mean?", "session_id": 17146, "sequence_id": 467, "annotations": []}
{"role": "student", "content": "That's the distance between the two numbers.", "session_id": 17146, "sequence_id": 468, "annotations": []}
{"role": "volunteer", "content": "Great, yup, 5.4, you have the answer.", "session_id": 17146, "sequence_id": 469, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 17146, "sequence_id": 470, "annotations": []}
{"role": "student", "content": "Well, that's, oh", "session_id": 17146, "sequence_id": 471, "annotations": []}
{"role": "student", "content": "thank you", "session_id": 17146, "sequence_id": 472, "annotations": []}
{"role": "volunteer", "content": "Yeah. Is there any other problems you have to do?", "session_id": 17146, "sequence_id": 473, "annotations": []}
{"role": "student", "content": "Nope, that's it", "session_id": 17146, "sequence_id": 474, "annotations": []}
{"role": "volunteer", "content": "That's literally it. Do you still want to practice more or not?", "session_id": 17146, "sequence_id": 475, "annotations": []}
{"role": "student", "content": "Uh, I think I understand it.", "session_id": 17146, "sequence_id": 476, "annotations": []}
{"role": "volunteer", "content": "Yeah, yeah, honestly, I think you seem to understand it very well.", "session_id": 17146, "sequence_id": 477, "annotations": []}
{"role": "volunteer", "content": "All right, yeah. Um,", "session_id": 17146, "sequence_id": 478, "annotations": []}
{"role": "volunteer", "content": "do you, wait, do you still have any more questions?", "session_id": 17146, "sequence_id": 479, "annotations": []}
{"role": "student", "content": "Nope", "session_id": 17146, "sequence_id": 480, "annotations": []}
{"role": "volunteer", "content": "No? All righty then.", "session_id": 17146, "sequence_id": 481, "annotations": []}
{"role": "student", "content": "OK", "session_id": 17146, "sequence_id": 482, "annotations": []}
{"role": "volunteer", "content": "All right, I'll leave now. See you, take care.", "session_id": 17146, "sequence_id": 483, "annotations": []}
{"role": "student", "content": "Take care", "session_id": 17146, "sequence_id": 484, "annotations": []}
{"role": "student", "content": "hello!", "session_id": 17407, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "Hello Emily! How can I help you today?", "session_id": 17407, "sequence_id": 1, "annotations": [{"pii_type": "PERSON", "surrogate": "Emily", "start": 6, "end": 11}]}
{"role": "student", "content": "Hi, i need help with this specific problem on my AP precalc work", "session_id": 17407, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "I would be happy to help you with that.", "session_id": 17407, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "thank u!", "session_id": 17407, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "Would you like to start with a, or is there a specific one you would like clarification on?", "session_id": 17407, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "honestly the whole problem is not maaking sense bc theres no number, but i can try letter a and you can check?", "session_id": 17407, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "Sure, that sounds great!", "session_id": 17407, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "alr is a, [a,b]", "session_id": 17407, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "Exactly, that is correct!", "session_id": 17407, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "As we move from a to b, the slope is increasing, so f(x) is concave up over that interval.", "session_id": 17407, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "Do you want to try b?", "session_id": 17407, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "wait can intervals be represented in letters?", "session_id": 17407, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "Yes, in this case, instead of giving you specific x values, they are giving you letters to make the problem more general.", "session_id": 17407, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "ahhh got uuu", "session_id": 17407, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "Usually you would use numbers though", "session_id": 17407, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "okay ill try b", "session_id": 17407, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "Also, one minor thing, when we are referring to concavity, we typically use parentheses instead of brackets", "session_id": 17407, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "okkay", "session_id": 17407, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "Because nothing is happening to the slope when we are AT a or b, only the values in between", "session_id": 17407, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "alr b is (c,d)", "session_id": 17407, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "Almost! f(x) is concave down over that interval, but is there anywhere else where it is concave down as well?", "session_id": 17407, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "the ending of B?", "session_id": 17407, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "Yes, it is also concave down over (b, c)", "session_id": 17407, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "Can you explain why that is?", "session_id": 17407, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "cuz the graph starts the shift", "session_id": 17407, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "in the direction its moving", "session_id": 17407, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "like where i circles", "session_id": 17407, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "Yes, the slope starts decreasing at b", "session_id": 17407, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "At b we have a slightly positive slope, and as we move towards c it gets closer to zero", "session_id": 17407, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "correct", "session_id": 17407, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "And then after c it is still concave down because it keeps decreasing from 0 to a negative number", "session_id": 17407, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "So what would be the interval for part b?", "session_id": 17407, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "(b,d)", "session_id": 17407, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "or infinity?", "session_id": 17407, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "Great work!", "session_id": 17407, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "I would go with (b, d) because we don't know what is happening after x = d", "session_id": 17407, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "true true", "session_id": 17407, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "alr lemme try c", "session_id": 17407, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "ok does it even increase at all", "session_id": 17407, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "Yes, there is an interval where the graph increases. Remember, now we are talking about the graph f(x) increasing, not the slope increasing", "session_id": 17407, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "ok so i think im lost can you guide me to it so itll help me for d?", "session_id": 17407, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "Of course no problem!", "session_id": 17407, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "Is it ok if I erase the drawings from the picture?", "session_id": 17407, "sequence_id": 43, "annotations": []}
{"role": "student", "content": "ofccc", "session_id": 17407, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "Ok, lets start by looking at each section of the graph one by one.", "session_id": 17407, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "kk", "session_id": 17407, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "Can you circle the point on f(x) where x = a?", "session_id": 17407, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "Yup, that's the x value x = a; can you circle the point on the f(x) curve? In other words, the point at f(a)", "session_id": 17407, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "ooopsss", "session_id": 17407, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "No problem haha", "session_id": 17407, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "Can you do the same for the point on the f(x) curve where x = b", "session_id": 17407, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "Great! Looking at the two circled points, which one is greater (higher on the graph/higher y-coordinate)?", "session_id": 17407, "sequence_id": 52, "annotations": []}
{"role": "student", "content": "b ofc", "session_id": 17407, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "Right! So did the f(x) have to increase or decrease to get there?", "session_id": 17407, "sequence_id": 54, "annotations": []}
{"role": "student", "content": "increase!", "session_id": 17407, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "Yes, so (a, b) is the first increasing interval!", "session_id": 17407, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "Can you find any other increasing intervals?", "session_id": 17407, "sequence_id": 57, "annotations": []}
{"role": "student", "content": "ok imma search", "session_id": 17407, "sequence_id": 58, "annotations": []}
{"role": "student", "content": "(b,c)", "session_id": 17407, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "Awesome! So what would be the final answer for c?", "session_id": 17407, "sequence_id": 60, "annotations": []}
{"role": "student", "content": "(a,b) (b,c)", "session_id": 17407, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "Yes, and we can turn those into one interval in this case since it is increasing over all of (a, c)", "session_id": 17407, "sequence_id": 62, "annotations": []}
{"role": "student", "content": "Emily", "session_id": 17407, "sequence_id": 63, "annotations": [{"pii_type": "PERSON", "surrogate": "Emily", "start": 0, "end": 5}]}
{"role": "student", "content": "alr let me find outt", "session_id": 17407, "sequence_id": 64, "annotations": []}
{"role": "student", "content": "the decreasing", "session_id": 17407, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "Alright!", "session_id": 17407, "sequence_id": 66, "annotations": []}
{"role": "student", "content": "(c,d)", "session_id": 17407, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "Nice work! Also one more thing, does the worksheet give anymore information about f(x)?", "session_id": 17407, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "For example does it say it is a polynomial or anything else?", "session_id": 17407, "sequence_id": 69, "annotations": []}
{"role": "student", "content": "nope, shocking", "session_id": 17407, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "Ok, I just wanted to make sure that there are no assumptions about the  end behavior going to infinity or -infinity", "session_id": 17407, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "Would you like to try part e?", "session_id": 17407, "sequence_id": 72, "annotations": []}
{"role": "student", "content": "Emily", "session_id": 17407, "sequence_id": 73, "annotations": [{"pii_type": "PERSON", "surrogate": "Emily", "start": 0, "end": 5}]}
{"role": "student", "content": "would it be 1", "session_id": 17407, "sequence_id": 74, "annotations": []}
{"role": "volunteer", "content": "Not quite, the zeroes of a function refers to the points where that function equals 0. In other words, f(x), the y value on this graph, is equal to zero at what x coordinate?", "session_id": 17407, "sequence_id": 75, "annotations": []}
{"role": "student", "content": "from (b,c)", "session_id": 17407, "sequence_id": 76, "annotations": []}
{"role": "student", "content": "?", "session_id": 17407, "sequence_id": 77, "annotations": []}
{"role": "student", "content": "wait no", "session_id": 17407, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "Unlike the other questions, zeroes are at invidual points rather than intervals.", "session_id": 17407, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "Which axis would the zero of a function intersect?", "session_id": 17407, "sequence_id": 80, "annotations": []}
{"role": "student", "content": "ok umm x axis?", "session_id": 17407, "sequence_id": 81, "annotations": []}
{"role": "volunteer", "content": "Yes! Where does f(x) intersect the x-axis?", "session_id": 17407, "sequence_id": 82, "annotations": []}
{"role": "student", "content": "well at 0,0", "session_id": 17407, "sequence_id": 83, "annotations": []}
{"role": "volunteer", "content": "The x axis is the horizontal axis here. Can you circle the point where f(x) instersects that line (the x-axis)?", "session_id": 17407, "sequence_id": 84, "annotations": []}
{"role": "student", "content": "is that right?", "session_id": 17407, "sequence_id": 85, "annotations": []}
{"role": "volunteer", "content": "Nice try! f(x) refers to the curve. where do the curve and the horizontal line (the x-axis) intersect?", "session_id": 17407, "sequence_id": 86, "annotations": []}
{"role": "student", "content": "oh bumsickkless", "session_id": 17407, "sequence_id": 87, "annotations": []}
{"role": "student", "content": "that/", "session_id": 17407, "sequence_id": 88, "annotations": []}
{"role": "volunteer", "content": "There we go, nice job! \ud83c\udf89", "session_id": 17407, "sequence_id": 89, "annotations": []}
{"role": "volunteer", "content": "So that would be the zero on this graph, because it is the only place that f(x) = 0.", "session_id": 17407, "sequence_id": 90, "annotations": []}
{"role": "volunteer", "content": "Can you write the coordinate for that point?", "session_id": 17407, "sequence_id": 91, "annotations": []}
{"role": "student", "content": "it don't have numbers:(", "session_id": 17407, "sequence_id": 92, "annotations": []}
{"role": "volunteer", "content": "We can apply the same strategy we used for intervals! Instead of using numbers, we can use the letters they give us. What is the letter they give at the circled x value", "session_id": 17407, "sequence_id": 93, "annotations": []}
{"role": "student", "content": "d", "session_id": 17407, "sequence_id": 94, "annotations": []}
{"role": "volunteer", "content": "Yes, so we know our coordinate is (d, ?).", "session_id": 17407, "sequence_id": 95, "annotations": []}
{"role": "student", "content": "0?", "session_id": 17407, "sequence_id": 96, "annotations": []}
{"role": "volunteer", "content": "Awesome! The coordinate is (d, 0).", "session_id": 17407, "sequence_id": 97, "annotations": []}
{"role": "volunteer", "content": "Would you like to try another similar problem to practice?", "session_id": 17407, "sequence_id": 98, "annotations": []}
{"role": "student", "content": "sure but for the y intercept lemme find it", "session_id": 17407, "sequence_id": 99, "annotations": []}
{"role": "volunteer", "content": "Ok!", "session_id": 17407, "sequence_id": 100, "annotations": []}
{"role": "student", "content": "is that the y intercept", "session_id": 17407, "sequence_id": 101, "annotations": []}
{"role": "volunteer", "content": "Yes! What is the coordinate for that point?", "session_id": 17407, "sequence_id": 102, "annotations": []}
{"role": "student", "content": "good question lol urmmm...", "session_id": 17407, "sequence_id": 103, "annotations": []}
{"role": "student", "content": "i dont know actually", "session_id": 17407, "sequence_id": 104, "annotations": []}
{"role": "volunteer", "content": "Ok lets fill in (?, ?) one at a time. What does the x-coordinate of the y-intercept have to be?", "session_id": 17407, "sequence_id": 105, "annotations": []}
{"role": "student", "content": "0", "session_id": 17407, "sequence_id": 106, "annotations": []}
{"role": "volunteer", "content": "Right! In order for a point to intersect the y-intercept, it can't move left or right, it has to be at x = 0. We can also see this on the graph. Points to the right of the y-axis (the center vertical line) have positive x values, and points to the left have negative x values.", "session_id": 17407, "sequence_id": 107, "annotations": []}
{"role": "volunteer", "content": "So now we have (0, ?). Looking at the graph, do you see any extra information you are being given about that point?", "session_id": 17407, "sequence_id": 108, "annotations": []}
{"role": "student", "content": "the e", "session_id": 17407, "sequence_id": 109, "annotations": []}
{"role": "volunteer", "content": "Yes! They tell us that when x = 0, f(x) = e. So the final coordinate would be (0, e).", "session_id": 17407, "sequence_id": 110, "annotations": []}
{"role": "student", "content": "yerpppp", "session_id": 17407, "sequence_id": 111, "annotations": []}
{"role": "student", "content": "alr", "session_id": 17407, "sequence_id": 112, "annotations": []}
{"role": "volunteer", "content": "Awesome work on this problem! Would you like to try something similar to e and f just for practice?", "session_id": 17407, "sequence_id": 113, "annotations": []}
{"role": "student", "content": "you know what sure", "session_id": 17407, "sequence_id": 114, "annotations": []}
{"role": "student", "content": "i dont mid", "session_id": 17407, "sequence_id": 115, "annotations": []}
{"role": "student", "content": "mind", "session_id": 17407, "sequence_id": 116, "annotations": []}
{"role": "volunteer", "content": "Great!", "session_id": 17407, "sequence_id": 117, "annotations": []}
{"role": "volunteer", "content": "Ok, I put a problem below the assignment.", "session_id": 17407, "sequence_id": 118, "annotations": []}
{"role": "volunteer", "content": "Would you like to try out a?", "session_id": 17407, "sequence_id": 119, "annotations": []}
{"role": "student", "content": "ok", "session_id": 17407, "sequence_id": 120, "annotations": []}
{"role": "student", "content": "the zeroes of the function, (b,0) and (c,0)", "session_id": 17407, "sequence_id": 121, "annotations": []}
{"role": "volunteer", "content": "Super! What about part b?", "session_id": 17407, "sequence_id": 122, "annotations": []}
{"role": "student", "content": "okay imma jot thhis down in my journal! and lol where the confetti come from ahha", "session_id": 17407, "sequence_id": 123, "annotations": []}
{"role": "volunteer", "content": "I was excited for you haha Emily", "session_id": 17407, "sequence_id": 124, "annotations": [{"pii_type": "PERSON", "surrogate": "Emily", "start": 27, "end": 32}]}
{"role": "student", "content": "lol aww thanks aalr lemme figure b", "session_id": 17407, "sequence_id": 125, "annotations": []}
{"role": "student", "content": "(0,q)?", "session_id": 17407, "sequence_id": 126, "annotations": []}
{"role": "volunteer", "content": "Yes that's it nice job! Is there anything else you wanted to work on?", "session_id": 17407, "sequence_id": 127, "annotations": []}
{"role": "student", "content": "nope i Emily i've mastered this topic honestly", "session_id": 17407, "sequence_id": 128, "annotations": [{"pii_type": "PERSON", "surrogate": "Emily", "start": 7, "end": 12}]}
{"role": "student", "content": "all thanks to your help", "session_id": 17407, "sequence_id": 129, "annotations": []}
{"role": "student", "content": "are you like a professor that teaches precalc?", "session_id": 17407, "sequence_id": 130, "annotations": []}
{"role": "student", "content": "cuz how do you know it ?", "session_id": 17407, "sequence_id": 131, "annotations": []}
{"role": "volunteer", "content": "Agreed, it was great working with you, I hope to see you again soon!", "session_id": 17407, "sequence_id": 132, "annotations": []}
{"role": "volunteer", "content": "No, Northwood High School, but I just love tutoring.", "session_id": 17407, "sequence_id": 133, "annotations": [{"pii_type": "SCHOOL", "surrogate": "Northwood High School", "start": 4, "end": 25}]}
{"role": "student", "content": "wait crazy work", "session_id": 17407, "sequence_id": 134, "annotations": []}
{"role": "student", "content": "what grade?", "session_id": 17407, "sequence_id": 135, "annotations": []}
{"role": "student", "content": "if i can ask", "session_id": 17407, "sequence_id": 136, "annotations": []}
{"role": "volunteer", "content": "I'm a college freshman this year. I'm taking multivariable calculus now so I did this a few years ago.", "session_id": 17407, "sequence_id": 137, "annotations": [{"pii_type": "GRADE_LEVEL", "surrogate": "college freshman", "start": 6, "end": 22}]}
{"role": "student", "content": "oh omg u smart smart for real!", "session_id": 17407, "sequence_id": 138, "annotations": []}
{"role": "volunteer", "content": "Lol I'm just a math person I guess", "session_id": 17407, "sequence_id": 139, "annotations": []}
{"role": "student", "content": "fr like u js helped a lot, so thank you so much, have a great day!", "session_id": 17407, "sequence_id": 140, "annotations": []}
{"role": "volunteer", "content": "You too, talk to you soon hopefully!", "session_id": 17407, "sequence_id": 141, "annotations": []}
{"role": "volunteer", "content": "It was great working with you, lmk if you have any other questions!", "session_id": 17407, "sequence_id": 142, "annotations": []}
{"role": "volunteer", "content": "Hi, Alex!", "session_id": 17779, "sequence_id": 0, "annotations": [{"pii_type": "PERSON", "surrogate": "Alex", "start": 4, "end": 8}]}
{"role": "student", "content": "hi!", "session_id": 17779, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "How are you?", "session_id": 17779, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "great, you?", "session_id": 17779, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "doing very well! what are you looking for help with?", "session_id": 17779, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "i need help with some homework!", "session_id": 17779, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "can you see the screenshot?", "session_id": 17779, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "alright, perf! yeah I can see it", "session_id": 17779, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "okay if I move it a bit? my screen's a bit funny", "session_id": 17779, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "just to here", "session_id": 17779, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "yea thats fine!", "session_id": 17779, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "okay, awesome!", "session_id": 17779, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "what do you want to start with?", "session_id": 17779, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "number 9!", "session_id": 17779, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "alright! any preliminary ideas?", "session_id": 17779, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "not really.. i was sick for the lesson so i might need an extra hand", "session_id": 17779, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "okay, that's totally fine!", "session_id": 17779, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "okay, so we're trying to see how a) was transformed, or changed, to get d(x)", "session_id": 17779, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "so when we enter -1 as x for a), what do we get?", "session_id": 17779, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "-3/", "session_id": 17779, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "yep! and what about for d(x)?", "session_id": 17779, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "3", "session_id": 17779, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "hmm, so what change might we do to get from -3 to 3 (more than one right answer!)", "session_id": 17779, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "multiply with a -1", "session_id": 17779, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "yeah, great thinking!", "session_id": 17779, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "let's confirm by looking at the other values", "session_id": 17779, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "like if we put 2 in the functions, for instance, what do we get?", "session_id": 17779, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "6?", "session_id": 17779, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "yeah! and what about for d(x)?", "session_id": 17779, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "-6", "session_id": 17779, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "does that hold up with the negative one?", "session_id": 17779, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "no", "session_id": 17779, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "are you sure?", "session_id": 17779, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "what happens if you multiply 6 by -1?", "session_id": 17779, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "-6", "session_id": 17779, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "so does multiplying by -1 get you from the first function to the next?", "session_id": 17779, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "mhm!", "session_id": 17779, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "yeah! and looking at the other values, it seems to check out, right?", "session_id": 17779, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "yess", "session_id": 17779, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "okay, so that's the symbolic form of the transformation--multiplying a(x) by -1", "session_id": 17779, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "what if we think about it graphically?", "session_id": 17779, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "like this is my terrible representation of a(1) and d(1) lol", "session_id": 17779, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "so the value of k would be -1?", "session_id": 17779, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "I'm not quite sure what k means here, it seems to be specific to this worksheet or class", "session_id": 17779, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "but if it's the thing you transform by, then yeah!", "session_id": 17779, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "have you used k like this in a class before?", "session_id": 17779, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "(different classes/teachers just use different letters)", "session_id": 17779, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "uhhh to be honest im equally lost cause i was absent", "session_id": 17779, "sequence_id": 47, "annotations": []}
{"role": "student", "content": "i somehow got a 93 on the test but im so lost for thsi worksheet", "session_id": 17779, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "okay, that's fine!", "session_id": 17779, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "I would guess it would be -1, like the transforming factor", "session_id": 17779, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "but yeah I'm not fully sure bc it's not a standard math convention", "session_id": 17779, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "i realized i completely skipped number 9", "session_id": 17779, "sequence_id": 52, "annotations": []}
{"role": "student", "content": "would that be a reflection over the x axis?", "session_id": 17779, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "yes!", "session_id": 17779, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "exactly lol", "session_id": 17779, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "as displayed in my terrible drawing", "session_id": 17779, "sequence_id": 56, "annotations": []}
{"role": "student", "content": "loved that! <3", "session_id": 17779, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "okay, so now 11", "session_id": 17779, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "d(x) in terms of a(x)", "session_id": 17779, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "any preliminary thoughts?", "session_id": 17779, "sequence_id": 60, "annotations": []}
{"role": "student", "content": "maybe something with the signs..?", "session_id": 17779, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "yeah, nice thinking!", "session_id": 17779, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "we've found that multiplying a(x) by negative one gives of d(x), right?", "session_id": 17779, "sequence_id": 63, "annotations": []}
{"role": "student", "content": "mhm", "session_id": 17779, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "so could we utilize that fact to write d(x) in terms of a)?", "session_id": 17779, "sequence_id": 65, "annotations": []}
{"role": "student", "content": "would it be d(x) = -1a(x)", "session_id": 17779, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "yeah!!!!", "session_id": 17779, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "because we're just taking the outputs of a) and multiplying them by -1! nice work :)", "session_id": 17779, "sequence_id": 68, "annotations": []}
{"role": "student", "content": "so basically for that part i just need to know k in order for me to solve it", "session_id": 17779, "sequence_id": 69, "annotations": []}
{"role": "student", "content": "just add it to the beginning", "session_id": 17779, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "yes, for these types of problems!", "session_id": 17779, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "once you get to shifting up and down or left and right, you have to be more careful", "session_id": 17779, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "but for flipping or scaling up and down, you're just multiplying by one number!", "session_id": 17779, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "which is what you did here, with -1!", "session_id": 17779, "sequence_id": 74, "annotations": []}
{"role": "volunteer", "content": "and you can always double-check by plugging values back in", "session_id": 17779, "sequence_id": 75, "annotations": []}
{"role": "student", "content": "hmmm okok", "session_id": 17779, "sequence_id": 76, "annotations": []}
{"role": "student", "content": "im still kind of confused on how to solve for k but i think i briefly understand", "session_id": 17779, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "yeah, let's do the next one and try to solidify things, yeah?", "session_id": 17779, "sequence_id": 78, "annotations": []}
{"role": "student", "content": "yes!", "session_id": 17779, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "okay, so let's look at g(x) and f(x) here", "session_id": 17779, "sequence_id": 80, "annotations": []}
{"role": "volunteer", "content": "any guesses as to what might have been done to f(x) to get g(x)?", "session_id": 17779, "sequence_id": 81, "annotations": []}
{"role": "student", "content": "a stretch?", "session_id": 17779, "sequence_id": 82, "annotations": []}
{"role": "volunteer", "content": "yeah! nice intuition", "session_id": 17779, "sequence_id": 83, "annotations": []}
{"role": "volunteer", "content": "but by how much? let's look at some points", "session_id": 17779, "sequence_id": 84, "annotations": []}
{"role": "volunteer", "content": "do you see the points I marked in blue?", "session_id": 17779, "sequence_id": 85, "annotations": []}
{"role": "volunteer", "content": "(you can use any pair of points but these were on lines so they're nice!)", "session_id": 17779, "sequence_id": 86, "annotations": []}
{"role": "student", "content": "3!", "session_id": 17779, "sequence_id": 87, "annotations": []}
{"role": "volunteer", "content": "yeah, the distance between them is def 3, but for the scale factor, we can take a different approach", "session_id": 17779, "sequence_id": 88, "annotations": []}
{"role": "volunteer", "content": "nice thinking though!", "session_id": 17779, "sequence_id": 89, "annotations": []}
{"role": "volunteer", "content": "what are the coordinates of these points?", "session_id": 17779, "sequence_id": 90, "annotations": []}
{"role": "student", "content": "1,1 and 1,4", "session_id": 17779, "sequence_id": 91, "annotations": []}
{"role": "volunteer", "content": "yeah! nice job", "session_id": 17779, "sequence_id": 92, "annotations": []}
{"role": "volunteer", "content": "so if we think of these as functions, what does the x coordinate represent?", "session_id": 17779, "sequence_id": 93, "annotations": []}
{"role": "student", "content": "a vertical stretch?", "session_id": 17779, "sequence_id": 94, "annotations": []}
{"role": "volunteer", "content": "oh yeah, I mistyped, the y coordinate! and yeah, it is a vertical stretch!", "session_id": 17779, "sequence_id": 95, "annotations": []}
{"role": "volunteer", "content": "how much are you stretching by?", "session_id": 17779, "sequence_id": 96, "annotations": []}
{"role": "student", "content": "3", "session_id": 17779, "sequence_id": 97, "annotations": []}
{"role": "volunteer", "content": "alright, good thinking! but, let's try plugging it in", "session_id": 17779, "sequence_id": 98, "annotations": []}
{"role": "volunteer", "content": "here, what does f(1)) equal?", "session_id": 17779, "sequence_id": 99, "annotations": []}
{"role": "volunteer", "content": "(it's the y coordinate of the point with x coordinate 1)", "session_id": 17779, "sequence_id": 100, "annotations": []}
{"role": "student", "content": "1?", "session_id": 17779, "sequence_id": 101, "annotations": []}
{"role": "volunteer", "content": "yeah!", "session_id": 17779, "sequence_id": 102, "annotations": []}
{"role": "volunteer", "content": "and g(1)?", "session_id": 17779, "sequence_id": 103, "annotations": []}
{"role": "volunteer", "content": "(same process)", "session_id": 17779, "sequence_id": 104, "annotations": []}
{"role": "student", "content": "isnt it also 1?", "session_id": 17779, "sequence_id": 105, "annotations": []}
{"role": "volunteer", "content": "when the x coordinate of g(x) = 1, what's the y coordinate?", "session_id": 17779, "sequence_id": 106, "annotations": []}
{"role": "student", "content": "ohhh 4", "session_id": 17779, "sequence_id": 107, "annotations": []}
{"role": "volunteer", "content": "yeah! it's a bit confusing on graphs", "session_id": 17779, "sequence_id": 108, "annotations": []}
{"role": "volunteer", "content": "so scaling vertically is a multiplication transformation", "session_id": 17779, "sequence_id": 109, "annotations": []}
{"role": "volunteer", "content": "when you multiply 1 by 3, do you get 4?", "session_id": 17779, "sequence_id": 110, "annotations": []}
{"role": "student", "content": "no", "session_id": 17779, "sequence_id": 111, "annotations": []}
{"role": "volunteer", "content": "yeah! 3 would 100% work if it was an addition transformation", "session_id": 17779, "sequence_id": 112, "annotations": []}
{"role": "volunteer", "content": "but since it's a multiplication transformation, we need to figure out what to multiply 1 by to get 4", "session_id": 17779, "sequence_id": 113, "annotations": []}
{"role": "volunteer", "content": "what do we need to multiply 1 by to get 4?", "session_id": 17779, "sequence_id": 114, "annotations": []}
{"role": "student", "content": "4", "session_id": 17779, "sequence_id": 115, "annotations": []}
{"role": "volunteer", "content": "yeah!!1", "session_id": 17779, "sequence_id": 116, "annotations": []}
{"role": "volunteer", "content": "*!", "session_id": 17779, "sequence_id": 117, "annotations": []}
{"role": "volunteer", "content": "so k is?", "session_id": 17779, "sequence_id": 118, "annotations": []}
{"role": "student", "content": "okay so k = 4", "session_id": 17779, "sequence_id": 119, "annotations": []}
{"role": "volunteer", "content": "yep!", "session_id": 17779, "sequence_id": 120, "annotations": []}
{"role": "student", "content": "g(x) = 4f(x)", "session_id": 17779, "sequence_id": 121, "annotations": []}
{"role": "volunteer", "content": "exactly!", "session_id": 17779, "sequence_id": 122, "annotations": []}
{"role": "volunteer", "content": "and we can plug in 1 to see that this works-- g(1) = 4f(1) so 4 = 4*1 which is true!", "session_id": 17779, "sequence_id": 123, "annotations": []}
{"role": "volunteer", "content": "and then for 12, how would you describe the transformation?", "session_id": 17779, "sequence_id": 124, "annotations": []}
{"role": "student", "content": "vertical stretch", "session_id": 17779, "sequence_id": 125, "annotations": []}
{"role": "volunteer", "content": "yep! in my experience, teachers often like to know by how much though", "session_id": 17779, "sequence_id": 126, "annotations": []}
{"role": "volunteer", "content": "so it never hurts to add", "session_id": 17779, "sequence_id": 127, "annotations": []}
{"role": "volunteer", "content": "by what factor are you stretching?", "session_id": 17779, "sequence_id": 128, "annotations": []}
{"role": "student", "content": "4", "session_id": 17779, "sequence_id": 129, "annotations": []}
{"role": "volunteer", "content": "yeah!", "session_id": 17779, "sequence_id": 130, "annotations": []}
{"role": "volunteer", "content": "so a vertical stretch by a factor of 4", "session_id": 17779, "sequence_id": 131, "annotations": []}
{"role": "student", "content": "omggg tyyy", "session_id": 17779, "sequence_id": 132, "annotations": []}
{"role": "volunteer", "content": "amazing work, nice job solving through it!", "session_id": 17779, "sequence_id": 133, "annotations": []}
{"role": "student", "content": "thank sm lol!", "session_id": 17779, "sequence_id": 134, "annotations": []}
{"role": "volunteer", "content": "function transformations are cool but can be so annoying!", "session_id": 17779, "sequence_id": 135, "annotations": []}
{"role": "student", "content": "no frrr", "session_id": 17779, "sequence_id": 136, "annotations": []}
{"role": "student", "content": "i was absent on the worst days lol!", "session_id": 17779, "sequence_id": 137, "annotations": []}
{"role": "student", "content": "anyways those were my last two questions", "session_id": 17779, "sequence_id": 138, "annotations": []}
{"role": "student", "content": "thanks sm!", "session_id": 17779, "sequence_id": 139, "annotations": []}
{"role": "volunteer", "content": "you're welcome! have a good night :)", "session_id": 17779, "sequence_id": 140, "annotations": []}
{"role": "student", "content": "oh problem solved", "session_id": 18198, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "yes!", "session_id": 18198, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "can we use mics instead if that's okay with you.", "session_id": 18198, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "yes, of course", "session_id": 18198, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "Hello", "session_id": 18198, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "Hello", "session_id": 18198, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 18198, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "Um, I started, you want to know about the extent extend the uh polynomial, right?", "session_id": 18198, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "Um, yes", "session_id": 18198, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "OK. Uh, do you have any like material or something uh problem I can start with or you want me to find this something.", "session_id": 18198, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "Um, give me a sec.", "session_id": 18198, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "I wanna start off as a pomo, um, what is it called? Give me a sec.", "session_id": 18198, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "Sorry.", "session_id": 18198, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "Could we start by um the Panamo arithmetic.", "session_id": 18198, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "Oh yeah", "session_id": 18198, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "All right, thank you. That would be a great start.", "session_id": 18198, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 18198, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "Give me one second", "session_id": 18198, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "OK", "session_id": 18198, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "OK, I start, hey.", "session_id": 18198, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "So the basically", "session_id": 18198, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "um", "session_id": 18198, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "well, I searched some steps like how to teach child, um", "session_id": 18198, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "uh, there's some operations you need to know.", "session_id": 18198, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "addition, substruction, and multiplication and exponents.", "session_id": 18198, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "Correct. I'll teach the the um algebra one", "session_id": 18198, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 18198, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "So you understand and I, um,", "session_id": 18198, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "well, so you know the definition, I think, um, I can give you some example, um, maybe you can give me the answer like like.", "session_id": 18198, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "I try which level you guys.", "session_id": 18198, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "OK, that would be nice.", "session_id": 18198, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 18198, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "Uh, I mean, do you know some like the basic laws.", "session_id": 18198, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "like the exponent laws of", "session_id": 18198, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "Yeah, experiment and then um where", "session_id": 18198, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "the inverse and stuff, right?", "session_id": 18198, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "I've been teaching that the algebra 2, so it, it'll be very easy.", "session_id": 18198, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 18198, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "OK. So let's try this one.", "session_id": 18198, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "I", "session_id": 18198, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "I", "session_id": 18198, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "I", "session_id": 18198, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "So how do you feel this one", "session_id": 18198, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "Um, can you repeat that? I can't hear you.", "session_id": 18198, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "Uh, how do you feel this one like?", "session_id": 18198, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "this problem I typed in the whiteboard.", "session_id": 18198, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "Don't you have to um distribute, distribute.", "session_id": 18198, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 18198, "sequence_id": 47, "annotations": []}
{"role": "student", "content": "Oh, OK, so you can distribute like terms, right?", "session_id": 18198, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "yeah", "session_id": 18198, "sequence_id": 49, "annotations": []}
{"role": "student", "content": "Uh, all right.", "session_id": 18198, "sequence_id": 50, "annotations": []}
{"role": "student", "content": "Oh, that's a, that's a, um, 000 wait, I messed up.", "session_id": 18198, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "Sorry", "session_id": 18198, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "No problem", "session_id": 18198, "sequence_id": 53, "annotations": []}
{"role": "student", "content": "Is it gonna be uh 1 X X plus X will be 1 X uh PowerPoint 2, right?", "session_id": 18198, "sequence_id": 54, "annotations": []}
{"role": "student", "content": "1.", "session_id": 18198, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "Mm", "session_id": 18198, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "uh", "session_id": 18198, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "well, that's uh", "session_id": 18198, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "let's say exponential like when your times X to the power of one.", "session_id": 18198, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "X to the power of one.", "session_id": 18198, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "then it means", "session_id": 18198, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "uh cause the base uh diff", "session_id": 18198, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "the base are the same. So the base are just X and then you add the power this is to on the last one is just one.", "session_id": 18198, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "That it's not sign.", "session_id": 18198, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "It's 2 + 1.", "session_id": 18198, "sequence_id": 65, "annotations": []}
{"role": "student", "content": "OK", "session_id": 18198, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "OK. And at least it's uh", "session_id": 18198, "sequence_id": 67, "annotations": []}
{"role": "student", "content": "I", "session_id": 18198, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "product", "session_id": 18198, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "And uh when you do", "session_id": 18198, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "uh I mean divided, uh, let me think here a second. Oh, actual power divided by X to the power of one. OK.", "session_id": 18198, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "then this one just a change of sign to minus.", "session_id": 18198, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "to -1", "session_id": 18198, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "So you can use it to remember when this one is uh the, the product you just think like I where is divided you just thinking as a subject, substruct.", "session_id": 18198, "sequence_id": 74, "annotations": []}
{"role": "student", "content": "So what you're saying is first you distribute and then Ala turns and then divide, right?", "session_id": 18198, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "Uh, no, like for this one, you need to separate in two terms first, uh,", "session_id": 18198, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "so this is the first term, this is 2nd term, and then in the first term there are two things. The two things that the problem for this, you just think about like every single one you need to tap the for this one.", "session_id": 18198, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "after I", "session_id": 18198, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "Yeah.", "session_id": 18198, "sequence_id": 79, "annotations": []}
{"role": "student", "content": "Oh, so you need to, are you gonna add, or you, you're gonna multiply, right?", "session_id": 18198, "sequence_id": 80, "annotations": []}
{"role": "volunteer", "content": "Yeah, you're going to multiply, but remember you need to every single time, you know, like everyone, you can't lose anyone and uh", "session_id": 18198, "sequence_id": 81, "annotations": []}
{"role": "student", "content": "OK", "session_id": 18198, "sequence_id": 82, "annotations": []}
{"role": "volunteer", "content": "and then you just uh give for X already and then you're not thinking about it too. 2 is also the same thing like 2 times the 1st 12 times the second one, the 3rd 1.", "session_id": 18198, "sequence_id": 83, "annotations": []}
{"role": "student", "content": "OK", "session_id": 18198, "sequence_id": 84, "annotations": []}
{"role": "volunteer", "content": "And then you add them together and you see which one is similar like you add one more time to simplify it.", "session_id": 18198, "sequence_id": 85, "annotations": []}
{"role": "volunteer", "content": "Mhm", "session_id": 18198, "sequence_id": 86, "annotations": []}
{"role": "student", "content": "So, what I'm used to is um for um algebra 1, I've been taught um polymals and factoring, which is similar, right?", "session_id": 18198, "sequence_id": 87, "annotations": []}
{"role": "volunteer", "content": "Uh, yeah, similar. It's, uh, this is just the factor format, you know that.", "session_id": 18198, "sequence_id": 88, "annotations": []}
{"role": "volunteer", "content": "this is", "session_id": 18198, "sequence_id": 89, "annotations": []}
{"role": "student", "content": "The part I don't really understand is uh um the exponent between the X and the 2.", "session_id": 18198, "sequence_id": 90, "annotations": []}
{"role": "volunteer", "content": "mhm", "session_id": 18198, "sequence_id": 91, "annotations": []}
{"role": "student", "content": "When you multiply, does that change, or you have to once you multiply, does that turn into one no X PowerPoint 21, right?", "session_id": 18198, "sequence_id": 92, "annotations": []}
{"role": "volunteer", "content": "Uh, that's no change.", "session_id": 18198, "sequence_id": 93, "annotations": []}
{"role": "volunteer", "content": "Uh.", "session_id": 18198, "sequence_id": 94, "annotations": []}
{"role": "student", "content": "That, that doesn't change, that is the same.", "session_id": 18198, "sequence_id": 95, "annotations": []}
{"role": "student", "content": "So", "session_id": 18198, "sequence_id": 96, "annotations": []}
{"role": "volunteer", "content": "Yeah, but I'm a little confusing what's that meaning did you say? Like, let's true power.", "session_id": 18198, "sequence_id": 97, "annotations": []}
{"role": "student", "content": "2 to the power", "session_id": 18198, "sequence_id": 98, "annotations": []}
{"role": "volunteer", "content": "02 to the power, OK.", "session_id": 18198, "sequence_id": 99, "annotations": []}
{"role": "volunteer", "content": "So", "session_id": 18198, "sequence_id": 100, "annotations": []}
{"role": "volunteer", "content": "uh, so you, you're confused it as well there is no to before it. It's a your meaning?", "session_id": 18198, "sequence_id": 101, "annotations": []}
{"role": "student", "content": "Mm, um, so you see, um, um, in the XO what is that? I can't even see, but it's X, is it X minus what?", "session_id": 18198, "sequence_id": 102, "annotations": []}
{"role": "volunteer", "content": "Uh", "session_id": 18198, "sequence_id": 103, "annotations": []}
{"role": "volunteer", "content": "yeah", "session_id": 18198, "sequence_id": 104, "annotations": []}
{"role": "student", "content": "X ms 2 and then X PowerPoint, exponent 2 + X + 1, right?", "session_id": 18198, "sequence_id": 105, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 18198, "sequence_id": 106, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 18198, "sequence_id": 107, "annotations": []}
{"role": "student", "content": "So what I'm confused is I get the part where you have to multiply and on each of them.", "session_id": 18198, "sequence_id": 108, "annotations": []}
{"role": "student", "content": "But once I multiply the x to the x exponent too.", "session_id": 18198, "sequence_id": 109, "annotations": []}
{"role": "volunteer", "content": "Mhm", "session_id": 18198, "sequence_id": 110, "annotations": []}
{"role": "student", "content": "does that change the extra one.", "session_id": 18198, "sequence_id": 111, "annotations": []}
{"role": "volunteer", "content": "And, well, no.", "session_id": 18198, "sequence_id": 112, "annotations": []}
{"role": "volunteer", "content": "cause it's less rule you need to follow it.", "session_id": 18198, "sequence_id": 113, "annotations": []}
{"role": "student", "content": "Oh, OK, I get it.", "session_id": 18198, "sequence_id": 114, "annotations": []}
{"role": "volunteer", "content": "So, uh, the, the just a single X that means x truly power of 1.", "session_id": 18198, "sequence_id": 115, "annotations": []}
{"role": "student", "content": "OK", "session_id": 18198, "sequence_id": 116, "annotations": []}
{"role": "volunteer", "content": "And then when times adds to the power of 2, you just add them together.", "session_id": 18198, "sequence_id": 117, "annotations": []}
{"role": "student", "content": "So", "session_id": 18198, "sequence_id": 118, "annotations": []}
{"role": "volunteer", "content": "because it's a product role.", "session_id": 18198, "sequence_id": 119, "annotations": []}
{"role": "student", "content": "X is", "session_id": 18198, "sequence_id": 120, "annotations": []}
{"role": "volunteer", "content": "Uh, this is a powerful one.", "session_id": 18198, "sequence_id": 121, "annotations": []}
{"role": "volunteer", "content": "just an ax", "session_id": 18198, "sequence_id": 122, "annotations": []}
{"role": "student", "content": "X times", "session_id": 18198, "sequence_id": 123, "annotations": []}
{"role": "student", "content": "so let me change it quickly.", "session_id": 18198, "sequence_id": 124, "annotations": []}
{"role": "volunteer", "content": "Uh, you can use uh like the uppercase A and lowercase a to just a type 8.", "session_id": 18198, "sequence_id": 125, "annotations": []}
{"role": "student", "content": "OK, OK, OK", "session_id": 18198, "sequence_id": 126, "annotations": []}
{"role": "student", "content": "Oops, give me a second", "session_id": 18198, "sequence_id": 127, "annotations": []}
{"role": "student", "content": "A times A to the part 2, right?", "session_id": 18198, "sequence_id": 128, "annotations": []}
{"role": "volunteer", "content": "Uh, well, no, I mean, you can use uh the uh the keyboard like the.", "session_id": 18198, "sequence_id": 129, "annotations": []}
{"role": "student", "content": "All the text box, OK.", "session_id": 18198, "sequence_id": 130, "annotations": []}
{"role": "volunteer", "content": "the textbooks", "session_id": 18198, "sequence_id": 131, "annotations": []}
{"role": "student", "content": "I, I'm very confused because I'm new to, and I'm like.", "session_id": 18198, "sequence_id": 132, "annotations": []}
{"role": "volunteer", "content": "Yeah, no problem", "session_id": 18198, "sequence_id": 133, "annotations": []}
{"role": "student", "content": "I really need, I, I like math so much, but I just that once it becomes hard, you can't really focus on any of the units.", "session_id": 18198, "sequence_id": 134, "annotations": []}
{"role": "volunteer", "content": "Yeah, I understand", "session_id": 18198, "sequence_id": 135, "annotations": []}
{"role": "student", "content": "Um", "session_id": 18198, "sequence_id": 136, "annotations": []}
{"role": "student", "content": "give me a second. I'm using.", "session_id": 18198, "sequence_id": 137, "annotations": []}
{"role": "student", "content": "uh", "session_id": 18198, "sequence_id": 138, "annotations": []}
{"role": "student", "content": "next", "session_id": 18198, "sequence_id": 139, "annotations": []}
{"role": "student", "content": "in terms", "session_id": 18198, "sequence_id": 140, "annotations": []}
{"role": "student", "content": "So X to X is y to the", "session_id": 18198, "sequence_id": 141, "annotations": []}
{"role": "student", "content": "1 to the exponent of 2, right? I'm very confused because I don't like the X women. It confuses me very much, so.", "session_id": 18198, "sequence_id": 142, "annotations": []}
{"role": "volunteer", "content": "Oh, OK. So,", "session_id": 18198, "sequence_id": 143, "annotations": []}
{"role": "volunteer", "content": "hm", "session_id": 18198, "sequence_id": 144, "annotations": []}
{"role": "volunteer", "content": "OK, this is a single X.", "session_id": 18198, "sequence_id": 145, "annotations": []}
{"role": "student", "content": "oops.", "session_id": 18198, "sequence_id": 146, "annotations": []}
{"role": "volunteer", "content": "And then this is the X to the power of 2.", "session_id": 18198, "sequence_id": 147, "annotations": []}
{"role": "student", "content": "Mhm.", "session_id": 18198, "sequence_id": 148, "annotations": []}
{"role": "volunteer", "content": "So when your tempt them up.", "session_id": 18198, "sequence_id": 149, "annotations": []}
{"role": "volunteer", "content": "and the thing is, the rule is likely is", "session_id": 18198, "sequence_id": 150, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 18198, "sequence_id": 151, "annotations": []}
{"role": "volunteer", "content": "Is that clear", "session_id": 18198, "sequence_id": 152, "annotations": []}
{"role": "student", "content": "So what you're saying, I'm sorry because I'm very confused. I don't really understand anything about this is that I get the distributing like terms, but once you multiply the other term, once you multiply the first sum to the 2nd term, do you, um, does that change anything? Does that change the exponent?", "session_id": 18198, "sequence_id": 153, "annotations": []}
{"role": "volunteer", "content": "No, no, no. Cause it just said the same thing when you time them up. You just think about this is our 1st, 1st term, and then second term and another term, you just uh like uh you only have the X and the X to the power of two. Let is their first term to write and after light, the second term is x times X, and the third term is X times 1. And after that you think about 2.", "session_id": 18198, "sequence_id": 154, "annotations": []}
{"role": "volunteer", "content": "the two, the 2 times the first term of light.", "session_id": 18198, "sequence_id": 155, "annotations": []}
{"role": "volunteer", "content": "The 2 times X, the 2 times 1.", "session_id": 18198, "sequence_id": 156, "annotations": []}
{"role": "volunteer", "content": "and there is no change of anything is the problem given. So you won't change it. The thing you change is what you got, what you have got is the result you get.", "session_id": 18198, "sequence_id": 157, "annotations": []}
{"role": "student", "content": "So the answer is, um, one to the PowerPoint of 2, right? 1 X.", "session_id": 18198, "sequence_id": 158, "annotations": []}
{"role": "volunteer", "content": "Uh, well, no, cause you remember, uh, the, the first act, X is the one actually one power because when you test them up, you need to add them.", "session_id": 18198, "sequence_id": 159, "annotations": []}
{"role": "volunteer", "content": "Yeah, let's put that", "session_id": 18198, "sequence_id": 160, "annotations": []}
{"role": "student", "content": "X. There's a hidden exponent that you don't see when you multiply that it comes out, right?", "session_id": 18198, "sequence_id": 161, "annotations": []}
{"role": "volunteer", "content": "Yeah, cause so when when you see the axit it's X to the power of Y actually, it's not zero cause when actually zero power is equal to 1.", "session_id": 18198, "sequence_id": 162, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 18198, "sequence_id": 163, "annotations": []}
{"role": "student", "content": "So it's gonna be X or 2 of 3 of 22 of 3.", "session_id": 18198, "sequence_id": 164, "annotations": []}
{"role": "volunteer", "content": "No, 3", "session_id": 18198, "sequence_id": 165, "annotations": []}
{"role": "student", "content": "3.", "session_id": 18198, "sequence_id": 166, "annotations": []}
{"role": "student", "content": "go", "session_id": 18198, "sequence_id": 167, "annotations": []}
{"role": "volunteer", "content": "Yeah, that's 2 + 3.", "session_id": 18198, "sequence_id": 168, "annotations": []}
{"role": "student", "content": "Oh, you can add like exponents.", "session_id": 18198, "sequence_id": 169, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 18198, "sequence_id": 170, "annotations": []}
{"role": "student", "content": "OK, that's", "session_id": 18198, "sequence_id": 171, "annotations": []}
{"role": "volunteer", "content": "Yeah, cause, cause one product X is's eye because when divided is minus.", "session_id": 18198, "sequence_id": 172, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 18198, "sequence_id": 173, "annotations": []}
{"role": "student", "content": "OK, give me another problem. I'll see if I can solve that one.", "session_id": 18198, "sequence_id": 174, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 18198, "sequence_id": 175, "annotations": []}
{"role": "volunteer", "content": "Uh do you need to do a sample way of this one. I can do a sample.", "session_id": 18198, "sequence_id": 176, "annotations": []}
{"role": "volunteer", "content": "OK.", "session_id": 18198, "sequence_id": 177, "annotations": []}
{"role": "student", "content": "Yeah, yeah.", "session_id": 18198, "sequence_id": 178, "annotations": []}
{"role": "volunteer", "content": "Uh, give me one second.", "session_id": 18198, "sequence_id": 179, "annotations": []}
{"role": "student", "content": "I", "session_id": 18198, "sequence_id": 180, "annotations": []}
{"role": "student", "content": "so", "session_id": 18198, "sequence_id": 181, "annotations": []}
{"role": "student", "content": "So this is very confusing. Are the um stars multiplying, right?", "session_id": 18198, "sequence_id": 182, "annotations": []}
{"role": "volunteer", "content": "Mhm", "session_id": 18198, "sequence_id": 183, "annotations": []}
{"role": "student", "content": "OK, so X times or, oh yes, yes, I know this one's very easy.", "session_id": 18198, "sequence_id": 184, "annotations": []}
{"role": "volunteer", "content": "OK. I understand it.", "session_id": 18198, "sequence_id": 185, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 18198, "sequence_id": 186, "annotations": []}
{"role": "volunteer", "content": "OK, let's talk next step.", "session_id": 18198, "sequence_id": 187, "annotations": []}
{"role": "student", "content": "It's gonna be 3 times X to the power of 2, right?", "session_id": 18198, "sequence_id": 188, "annotations": []}
{"role": "student", "content": "The first one", "session_id": 18198, "sequence_id": 189, "annotations": []}
{"role": "volunteer", "content": "Mm, yeah, yeah, yeah", "session_id": 18198, "sequence_id": 190, "annotations": []}
{"role": "volunteer", "content": "No, well, no, cause, uh, higher power will be good first.", "session_id": 18198, "sequence_id": 191, "annotations": []}
{"role": "student", "content": "The highest power would be, um, yes, but X times X to the power plus 2", "session_id": 18198, "sequence_id": 192, "annotations": []}
{"role": "student", "content": "times X to the power of 2 when you add together it's gonna be um.", "session_id": 18198, "sequence_id": 193, "annotations": []}
{"role": "volunteer", "content": "Yeah, yeah, yeah, that's correct. Mhm.", "session_id": 18198, "sequence_id": 194, "annotations": []}
{"role": "student", "content": "is", "session_id": 18198, "sequence_id": 195, "annotations": []}
{"role": "student", "content": "me", "session_id": 18198, "sequence_id": 196, "annotations": []}
{"role": "volunteer", "content": "Yeah, let's uh first.", "session_id": 18198, "sequence_id": 197, "annotations": []}
{"role": "student", "content": "3", "session_id": 18198, "sequence_id": 198, "annotations": []}
{"role": "student", "content": "3 X to the power of 2, right?", "session_id": 18198, "sequence_id": 199, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 18198, "sequence_id": 200, "annotations": []}
{"role": "volunteer", "content": "And then there is another one also.", "session_id": 18198, "sequence_id": 201, "annotations": []}
{"role": "volunteer", "content": "Yeah.", "session_id": 18198, "sequence_id": 202, "annotations": []}
{"role": "student", "content": "OK. And the once you add all of them, you're gonna bring it down and you're going to like, you're gonna like a combine like turns, right?", "session_id": 18198, "sequence_id": 203, "annotations": []}
{"role": "volunteer", "content": "cause one they are similar, you can combine them together.", "session_id": 18198, "sequence_id": 204, "annotations": []}
{"role": "student", "content": "Yeah, OK", "session_id": 18198, "sequence_id": 205, "annotations": []}
{"role": "student", "content": "X times X is 6, it's gonna be 33 times x 3 times power to the 2, right? Power to 2.", "session_id": 18198, "sequence_id": 206, "annotations": []}
{"role": "volunteer", "content": "Mhm.", "session_id": 18198, "sequence_id": 207, "annotations": []}
{"role": "student", "content": "And then it's gonna be", "session_id": 18198, "sequence_id": 208, "annotations": []}
{"role": "student", "content": "um 3 + 3 times.", "session_id": 18198, "sequence_id": 209, "annotations": []}
{"role": "student", "content": "3 times 2.", "session_id": 18198, "sequence_id": 210, "annotations": []}
{"role": "volunteer", "content": "No", "session_id": 18198, "sequence_id": 211, "annotations": []}
{"role": "volunteer", "content": "the", "session_id": 18198, "sequence_id": 212, "annotations": []}
{"role": "student", "content": "This one", "session_id": 18198, "sequence_id": 213, "annotations": []}
{"role": "volunteer", "content": "well, there is no 3 times to cause uh another um, well,", "session_id": 18198, "sequence_id": 214, "annotations": []}
{"role": "volunteer", "content": "this is uh", "session_id": 18198, "sequence_id": 215, "annotations": []}
{"role": "volunteer", "content": "single one. There is no similar to this one because this is the third power, and this one is a constraint. You don't think about X, but there is a to the two power let's say similar and you add lukeer. Another one is just a single X tru the power of one.", "session_id": 18198, "sequence_id": 216, "annotations": []}
{"role": "volunteer", "content": "And then you add them up", "session_id": 18198, "sequence_id": 217, "annotations": []}
{"role": "volunteer", "content": "cuts there the same.", "session_id": 18198, "sequence_id": 218, "annotations": []}
{"role": "volunteer", "content": "Let's uh", "session_id": 18198, "sequence_id": 219, "annotations": []}
{"role": "volunteer", "content": "distribute", "session_id": 18198, "sequence_id": 220, "annotations": []}
{"role": "student", "content": "OK", "session_id": 18198, "sequence_id": 221, "annotations": []}
{"role": "volunteer", "content": "Yeah. So did you get whatless question will be the final result.", "session_id": 18198, "sequence_id": 222, "annotations": []}
{"role": "student", "content": "Um", "session_id": 18198, "sequence_id": 223, "annotations": []}
{"role": "student", "content": "can you repeat that", "session_id": 18198, "sequence_id": 224, "annotations": []}
{"role": "volunteer", "content": "Uh, what did you get the final result for this problem.", "session_id": 18198, "sequence_id": 225, "annotations": []}
{"role": "student", "content": "I got 33 to 2, and then I got", "session_id": 18198, "sequence_id": 226, "annotations": []}
{"role": "student", "content": "3 to the uh 3 X.", "session_id": 18198, "sequence_id": 227, "annotations": []}
{"role": "student", "content": "plus 3 X, and then I got.", "session_id": 18198, "sequence_id": 228, "annotations": []}
{"role": "student", "content": "Yeah, I'm very wrong. I was on a different side of the math. OK, I got it wrong.", "session_id": 18198, "sequence_id": 229, "annotations": []}
{"role": "student", "content": "cause I I", "session_id": 18198, "sequence_id": 230, "annotations": []}
{"role": "volunteer", "content": "No, I'm fine. You, you're correct for this too.", "session_id": 18198, "sequence_id": 231, "annotations": []}
{"role": "student", "content": "can you can't add, you cannot add X plus a number, right? You can add a um a um.", "session_id": 18198, "sequence_id": 232, "annotations": []}
{"role": "volunteer", "content": "Yeah, you just keep it. It's OK if you can't eat. Let's a problem. You don't worry about it, not very simplified, you know. If you can't simplify, just leave it.", "session_id": 18198, "sequence_id": 233, "annotations": []}
{"role": "student", "content": "OK", "session_id": 18198, "sequence_id": 234, "annotations": []}
{"role": "volunteer", "content": "Yeah, yeah they, correct. That's correct. You just uh uh cause acts to the power of 3, you just leave it right on it. It's OK.", "session_id": 18198, "sequence_id": 235, "annotations": []}
{"role": "student", "content": "OK", "session_id": 18198, "sequence_id": 236, "annotations": []}
{"role": "volunteer", "content": "Mhm", "session_id": 18198, "sequence_id": 237, "annotations": []}
{"role": "student", "content": "Thank you", "session_id": 18198, "sequence_id": 238, "annotations": []}
{"role": "student", "content": "Um, so is that all for today?", "session_id": 18198, "sequence_id": 239, "annotations": []}
{"role": "volunteer", "content": "Uh", "session_id": 18198, "sequence_id": 240, "annotations": []}
{"role": "volunteer", "content": "mm, if you can, you, you want to try another problem, I can, I can write.", "session_id": 18198, "sequence_id": 241, "annotations": []}
{"role": "student", "content": "Right", "session_id": 18198, "sequence_id": 242, "annotations": []}
{"role": "volunteer", "content": "cause uh the result set of this one, it should be X to the power of 3 + 3 times x to the power of 2 + 3 times x + 2.", "session_id": 18198, "sequence_id": 243, "annotations": []}
{"role": "volunteer", "content": "uh, which means there should be", "session_id": 18198, "sequence_id": 244, "annotations": []}
{"role": "volunteer", "content": "4 terms of the final answer.", "session_id": 18198, "sequence_id": 245, "annotations": []}
{"role": "student", "content": "OK", "session_id": 18198, "sequence_id": 246, "annotations": []}
{"role": "volunteer", "content": "Did you understand this", "session_id": 18198, "sequence_id": 247, "annotations": []}
{"role": "volunteer", "content": "Oh", "session_id": 18198, "sequence_id": 248, "annotations": []}
{"role": "student", "content": "Um, um, I just can't get along with the exponents cause that really confuses me, especially when you type it on a computer or iPad. It's good for me to do on a worksheet because I understand the symbols more, but once I do on a computer, it's the symbols are kind of different, which confuses me very much.", "session_id": 18198, "sequence_id": 249, "annotations": []}
{"role": "volunteer", "content": "Oh, OK.", "session_id": 18198, "sequence_id": 250, "annotations": []}
{"role": "volunteer", "content": "I understand you. Uh, so, so this time will be to the power, um.", "session_id": 18198, "sequence_id": 251, "annotations": []}
{"role": "volunteer", "content": "well cause I didn't use the iPad, but.", "session_id": 18198, "sequence_id": 252, "annotations": []}
{"role": "volunteer", "content": "Mhm", "session_id": 18198, "sequence_id": 253, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 18198, "sequence_id": 254, "annotations": []}
{"role": "student", "content": "OK, that makes, OK, that makes easier. OK, thank you. Um, I'm, I'm gonna go ahead and go to another classroom. Is that OK? Cause I have um used history class to attend.", "session_id": 18198, "sequence_id": 255, "annotations": []}
{"role": "volunteer", "content": "OK, OK", "session_id": 18198, "sequence_id": 256, "annotations": []}
{"role": "student", "content": "Thank you very much you're very helpful.", "session_id": 18198, "sequence_id": 257, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 18198, "sequence_id": 258, "annotations": []}
{"role": "student", "content": "It was nice having you as a teacher. Thank you.", "session_id": 18198, "sequence_id": 259, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 18198, "sequence_id": 260, "annotations": []}
{"role": "volunteer", "content": "Bye", "session_id": 18198, "sequence_id": 261, "annotations": []}
{"role": "student", "content": "Bye", "session_id": 18198, "sequence_id": 262, "annotations": []}
{"role": "volunteer", "content": "Hello! How may I help?", "session_id": 18278, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "sooo i have an assignment and i kinda know how to do it but at the same time dont", "session_id": 18278, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "Okay, mind explaining it to me and then telling me which part you get and which is confusing?", "session_id": 18278, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "okay so the first equation is write 0.6 repeating as a fraction", "session_id": 18278, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "i wasnt at the school when we learned this i do not know how to do this", "session_id": 18278, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "at all", "session_id": 18278, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "Okay well let\u2019s start by thinking about 0.6 when it isn\u2019t repeating, what would that be as a fraction?", "session_id": 18278, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "i thinnkkkk 3/5??", "session_id": 18278, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "Yes exactly", "session_id": 18278, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "Let\u2019s leave it as 6/10 though", "session_id": 18278, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "ok", "session_id": 18278, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "So we know 0.6 is 6/10 but then 0.66 is bigger than 0.6, so to make a bigger fraction we can make the denominator smaller right? We can try 6/9 or 6/8", "session_id": 18278, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "okay", "session_id": 18278, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "wait would that be the answer", "session_id": 18278, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "??", "session_id": 18278, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "Well we know the answer is a fraction a little greater than 6/10 so what do you think it is, try some out", "session_id": 18278, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "hold on i am thinkingg", "session_id": 18278, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "You can type some into a calculator and try it out to see if you get .6666 remember though the denominator is less than 10 :)", "session_id": 18278, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "And sure take your time", "session_id": 18278, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "zero point six six six repeating is two-thirds, not \u2018almost,\u2019 not \u2018kinda.\u2019  say x equals zero point six repeating, multiply it by ten and you get ten x equals six point six repeating, then subtract the first one from the second and boom ten x minus x equals six point six repeating minus zero point six repeating, the repeating junk cancels out so it\u2019s just nine x equals six, divide that out and you get x equals six over nine which is two over three, so yeah zero point six six six repeating so it isss two-thirds??", "session_id": 18278, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "this took me awhile", "session_id": 18278, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "Yesss! Sorry I didn\u2019t give you the actual formula I just haven\u2019t done it that way in so long (im in college). But super well done", "session_id": 18278, "sequence_id": 21, "annotations": [{"pii_type": "GRADE_LEVEL", "surrogate": "college", "start": 100, "end": 107}]}
{"role": "student", "content": "thank you so mucchhhh", "session_id": 18278, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "how is it in college", "session_id": 18278, "sequence_id": 23, "annotations": [{"pii_type": "GRADE_LEVEL", "surrogate": "college", "start": 13, "end": 20}]}
{"role": "volunteer", "content": "Suree! And no worries with time you\u2019ll memorize these now I literally just know the basic decimals into fractions right off the bat. college has been fine :) A lot of homework though!", "session_id": 18278, "sequence_id": 24, "annotations": [{"pii_type": "GRADE_LEVEL", "surrogate": "college", "start": 133, "end": 140}]}
{"role": "student", "content": "oh i bet in my school we have homework every night", "session_id": 18278, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "Lol homework does help you retain knowledge though so I guess it\u2019s acceptable :). Is that all you needed help on for today? If so good luck in the future and I\u2019m glad I could help today", "session_id": 18278, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "thank you and yes that is all i need byee", "session_id": 18278, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "Bye!", "session_id": 18278, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "Tommorow we have a daily quiz", "session_id": 18871, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "and its on the things we learned such as limits and such things", "session_id": 18871, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "graphically and numercially", "session_id": 18871, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "Hi Michael! How can I help you today>", "session_id": 18871, "sequence_id": 3, "annotations": [{"pii_type": "PERSON", "surrogate": "Michael", "start": 3, "end": 10}]}
{"role": "student", "content": "oh i have a test tmr", "session_id": 18871, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "in calc hons", "session_id": 18871, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "its about the things we learned", "session_id": 18871, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "what topic shall we go over?", "session_id": 18871, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "limits graphically and numercially", "session_id": 18871, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "okay!", "session_id": 18871, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "do you have any problems that your teacher assigned based on those topics?", "session_id": 18871, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "wait i think i can get the work we did in class", "session_id": 18871, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "thats great! i can help you and explain the work that you did in class!", "session_id": 18871, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "okay so how do i get it on here", "session_id": 18871, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "or do i js copy n paste", "session_id": 18871, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "if you look on the taskbar at the bottom", "session_id": 18871, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "the 5th button would be an image with an arrow", "session_id": 18871, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "you would use that to upload the photo", "session_id": 18871, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "can u see ????", "session_id": 18871, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "yes i can see thank you!", "session_id": 18871, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "okay ill point igs", "session_id": 18871, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "okay this problem", "session_id": 18871, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "okay!", "session_id": 18871, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "like how am i supposed to know which limits", "session_id": 18871, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "wait i mean domain &range", "session_id": 18871, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "for this problem you do not need a limit", "session_id": 18871, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "domain and range okay.", "session_id": 18871, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "so for the domain first we would have to factor and simplify the function", "session_id": 18871, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "as you can see the problem factored and got 3x+1/x+3", "session_id": 18871, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "ohhhh okay so how would i get the 5/3", "session_id": 18871, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "to find the range you would need to solve for x", "session_id": 18871, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "so you see how you have the function", "session_id": 18871, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "okay", "session_id": 18871, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "now HERE is where i really struggle at tbh", "session_id": 18871, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "okay which one do you need help with specifically?", "session_id": 18871, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "how would i know what to right when it says approaching from the left or right if its looks like the same thing", "session_id": 18871, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "write*", "session_id": 18871, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "for example 1", "session_id": 18871, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "so when you are approaching the limit from the right side it literally means from the right side", "session_id": 18871, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "for example for part D", "session_id": 18871, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "it says find the limit as x approaches 2 from the right", "session_id": 18871, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "you would look at the x value 2", "session_id": 18871, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "and see what y value it approaches from the right side", "session_id": 18871, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "you can see its a value of 1", "session_id": 18871, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "does that make sense?", "session_id": 18871, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "ohhhh okay so what about part L", "session_id": 18871, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "like how did we get that answer", "session_id": 18871, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "L would be 1", "session_id": 18871, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "because 1 is your limit", "session_id": 18871, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "oh wait", "session_id": 18871, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "you are talking about part L", "session_id": 18871, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "sorry i misunderstood", "session_id": 18871, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "ur good!!!", "session_id": 18871, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "okay so for part L", "session_id": 18871, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "in order for the limit to exist we have to make sure that both sides (aka limit as x approaches 5 form the left and limit as x approaches 5 from the right) are the same", "session_id": 18871, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "that way the limit as x approaches 5 can exist", "session_id": 18871, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "so if you look on the left and right side of 5 do they both approach the same value?", "session_id": 18871, "sequence_id": 56, "annotations": []}
{"role": "student", "content": "oh Okay i see so i would look at the arrow going down right?", "session_id": 18871, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "yes you would!", "session_id": 18871, "sequence_id": 58, "annotations": []}
{"role": "student", "content": "okay i think im getting the hang of it", "session_id": 18871, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "yup!", "session_id": 18871, "sequence_id": 60, "annotations": []}
{"role": "student", "content": "OKAY NOW THISSSSS", "session_id": 18871, "sequence_id": 61, "annotations": []}
{"role": "student", "content": "is crazy", "session_id": 18871, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "ah finding the limit numerically", "session_id": 18871, "sequence_id": 63, "annotations": []}
{"role": "student", "content": "i would just use the calculator for this though right ???", "session_id": 18871, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "yes you would", "session_id": 18871, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "but do you understand what the values mean?", "session_id": 18871, "sequence_id": 66, "annotations": []}
{"role": "student", "content": "tbh no..", "session_id": 18871, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "okay lets go over it", "session_id": 18871, "sequence_id": 68, "annotations": []}
{"role": "student", "content": "okay", "session_id": 18871, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "so the question is asking to find the limit as x approaches 3 of that function", "session_id": 18871, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "and if you notice when you plug in 3 you get undefined", "session_id": 18871, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "so plugging in 3 would not work", "session_id": 18871, "sequence_id": 72, "annotations": []}
{"role": "student", "content": "yes", "session_id": 18871, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "we could estimate the limit using values super close to 3", "session_id": 18871, "sequence_id": 74, "annotations": []}
{"role": "student", "content": "ohhhh okay", "session_id": 18871, "sequence_id": 75, "annotations": []}
{"role": "student", "content": "i see", "session_id": 18871, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "so you use numbers super close to 3 and plug it in", "session_id": 18871, "sequence_id": 77, "annotations": []}
{"role": "student", "content": "thats the whole point correct", "session_id": 18871, "sequence_id": 78, "annotations": []}
{"role": "student", "content": "to find which one is closet", "session_id": 18871, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "from the right and left side if they approach the same value the limtit would be that value", "session_id": 18871, "sequence_id": 80, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 18871, "sequence_id": 81, "annotations": []}
{"role": "volunteer", "content": "you have to make sure that the f(x) is approaching the same number", "session_id": 18871, "sequence_id": 82, "annotations": []}
{"role": "student", "content": "wait huh?", "session_id": 18871, "sequence_id": 83, "annotations": []}
{"role": "volunteer", "content": "at x = 2.999 and x = 3.001", "session_id": 18871, "sequence_id": 84, "annotations": []}
{"role": "student", "content": "f(x) is approashing what", "session_id": 18871, "sequence_id": 85, "annotations": []}
{"role": "volunteer", "content": "f(x) is the value you get after plugging in those super close numbers", "session_id": 18871, "sequence_id": 86, "annotations": []}
{"role": "volunteer", "content": "f(x) is the limit", "session_id": 18871, "sequence_id": 87, "annotations": []}
{"role": "student", "content": "ohhh ookkk", "session_id": 18871, "sequence_id": 88, "annotations": []}
{"role": "volunteer", "content": "at 2.999 and at 3.001 those values are approaching the same limit", "session_id": 18871, "sequence_id": 89, "annotations": []}
{"role": "volunteer", "content": "so thats why it works", "session_id": 18871, "sequence_id": 90, "annotations": []}
{"role": "student", "content": "Okay i see now", "session_id": 18871, "sequence_id": 91, "annotations": []}
{"role": "student", "content": "wait can i go check 1.1 really quick to see if i need help understanding to", "session_id": 18871, "sequence_id": 92, "annotations": []}
{"role": "volunteer", "content": "yes!", "session_id": 18871, "sequence_id": 93, "annotations": []}
{"role": "student", "content": "okay the only question I have about this problem is how would i put this into the calcukator", "session_id": 18871, "sequence_id": 94, "annotations": []}
{"role": "volunteer", "content": "ok so for this one its asking for average velpcioty from 2 seconds to 8 seconds", "session_id": 18871, "sequence_id": 95, "annotations": []}
{"role": "volunteer", "content": "do you recall the average velocity formula?", "session_id": 18871, "sequence_id": 96, "annotations": []}
{"role": "student", "content": "distance/time ?", "session_id": 18871, "sequence_id": 97, "annotations": []}
{"role": "student", "content": "sum like det", "session_id": 18871, "sequence_id": 98, "annotations": []}
{"role": "volunteer", "content": "right", "session_id": 18871, "sequence_id": 99, "annotations": []}
{"role": "volunteer", "content": "its the change in displacement/time", "session_id": 18871, "sequence_id": 100, "annotations": []}
{"role": "student", "content": "okk", "session_id": 18871, "sequence_id": 101, "annotations": []}
{"role": "volunteer", "content": "so that means we to find d(8) - (d(2))/ (8-2)", "session_id": 18871, "sequence_id": 102, "annotations": []}
{"role": "volunteer", "content": "sorry (d(8) - d(2))/(8-2)", "session_id": 18871, "sequence_id": 103, "annotations": []}
{"role": "volunteer", "content": "do get d(8) you would plug 8 into the distance equation", "session_id": 18871, "sequence_id": 104, "annotations": []}
{"role": "volunteer", "content": "and same for 2", "session_id": 18871, "sequence_id": 105, "annotations": []}
{"role": "student", "content": "okayyy i remember that part", "session_id": 18871, "sequence_id": 106, "annotations": []}
{"role": "student", "content": "so thats all im findning", "session_id": 18871, "sequence_id": 107, "annotations": []}
{"role": "student", "content": "right or", "session_id": 18871, "sequence_id": 108, "annotations": []}
{"role": "volunteer", "content": "yes and you put it all together into the average velocity formula", "session_id": 18871, "sequence_id": 109, "annotations": []}
{"role": "volunteer", "content": "and remember your units", "session_id": 18871, "sequence_id": 110, "annotations": []}
{"role": "student", "content": "okkkkk thats smart!", "session_id": 18871, "sequence_id": 111, "annotations": []}
{"role": "student", "content": "okay wait so how would i even start by making a sketch for a problem based on limits n stuff", "session_id": 18871, "sequence_id": 112, "annotations": []}
{"role": "student", "content": "because I rmb we did it in class but i dnt know about a problem pretaining to it", "session_id": 18871, "sequence_id": 113, "annotations": []}
{"role": "volunteer", "content": "interesting is this still on limits? or is this for derivatives", "session_id": 18871, "sequence_id": 114, "annotations": []}
{"role": "student", "content": "limits i think", "session_id": 18871, "sequence_id": 115, "annotations": []}
{"role": "student", "content": "tbh im not sure", "session_id": 18871, "sequence_id": 116, "annotations": []}
{"role": "volunteer", "content": "oh wait sorry i misread that v means vehicles not velocity in this context", "session_id": 18871, "sequence_id": 117, "annotations": []}
{"role": "student", "content": "ok", "session_id": 18871, "sequence_id": 118, "annotations": []}
{"role": "volunteer", "content": "just give me a second to figure out this problem", "session_id": 18871, "sequence_id": 119, "annotations": []}
{"role": "student", "content": "no problem, take ur time", "session_id": 18871, "sequence_id": 120, "annotations": []}
{"role": "volunteer", "content": "okay!", "session_id": 18871, "sequence_id": 121, "annotations": []}
{"role": "volunteer", "content": "so you need help with part b right?", "session_id": 18871, "sequence_id": 122, "annotations": []}
{"role": "student", "content": "yes", "session_id": 18871, "sequence_id": 123, "annotations": []}
{"role": "volunteer", "content": "okay so for this we are just graphing the time vs the number of vehicles", "session_id": 18871, "sequence_id": 124, "annotations": []}
{"role": "volunteer", "content": "so at each time there would be some number of vehicles", "session_id": 18871, "sequence_id": 125, "annotations": []}
{"role": "student", "content": "Okay", "session_id": 18871, "sequence_id": 126, "annotations": []}
{"role": "volunteer", "content": "how do you want to scale it?", "session_id": 18871, "sequence_id": 127, "annotations": []}
{"role": "volunteer", "content": "every 5 seconds?", "session_id": 18871, "sequence_id": 128, "annotations": []}
{"role": "student", "content": "sure", "session_id": 18871, "sequence_id": 129, "annotations": []}
{"role": "volunteer", "content": "okay so for that its basically like making a table!", "session_id": 18871, "sequence_id": 130, "annotations": []}
{"role": "volunteer", "content": "we will be using times from 0 to 30", "session_id": 18871, "sequence_id": 131, "annotations": []}
{"role": "volunteer", "content": "plug those into the v(t) equation and plot those points", "session_id": 18871, "sequence_id": 132, "annotations": []}
{"role": "volunteer", "content": "do you need me to go over how to do that?", "session_id": 18871, "sequence_id": 133, "annotations": []}
{"role": "student", "content": "okayyy so like the first ones just graphing", "session_id": 18871, "sequence_id": 134, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 18871, "sequence_id": 135, "annotations": []}
{"role": "student", "content": "umm sure u can", "session_id": 18871, "sequence_id": 136, "annotations": []}
{"role": "volunteer", "content": "okay so for exmaple lets plug in 5", "session_id": 18871, "sequence_id": 137, "annotations": []}
{"role": "volunteer", "content": "t = 5", "session_id": 18871, "sequence_id": 138, "annotations": []}
{"role": "volunteer", "content": "you put that into v(t) so in your calculator you would input 92-15sin(5/3)", "session_id": 18871, "sequence_id": 139, "annotations": []}
{"role": "volunteer", "content": "and then whatever answer you get you would plot that on your y", "session_id": 18871, "sequence_id": 140, "annotations": []}
{"role": "volunteer", "content": "does that kind of make sense?", "session_id": 18871, "sequence_id": 141, "annotations": []}
{"role": "volunteer", "content": "you would repeat for every time value", "session_id": 18871, "sequence_id": 142, "annotations": []}
{"role": "student", "content": "okay yes", "session_id": 18871, "sequence_id": 143, "annotations": []}
{"role": "student", "content": "thank uuuu", "session_id": 18871, "sequence_id": 144, "annotations": []}
{"role": "volunteer", "content": "of course!", "session_id": 18871, "sequence_id": 145, "annotations": []}
{"role": "volunteer", "content": "do you need me to explain c and d?", "session_id": 18871, "sequence_id": 146, "annotations": []}
{"role": "student", "content": "i think i should do good on the test now", "session_id": 18871, "sequence_id": 147, "annotations": []}
{"role": "student", "content": "uh nooo", "session_id": 18871, "sequence_id": 148, "annotations": []}
{"role": "volunteer", "content": "okay good luck on your test and thank you for letting me tutor!", "session_id": 18871, "sequence_id": 149, "annotations": []}
{"role": "student", "content": "Alex, and ofcccc:)", "session_id": 18871, "sequence_id": 150, "annotations": [{"pii_type": "PERSON", "surrogate": "Alex", "start": 0, "end": 4}]}
{"role": "volunteer", "content": "Hi hi", "session_id": 18965, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "Hii! How are you doing?", "session_id": 18965, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "I'm good. Day was good. How was yours?", "session_id": 18965, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "It was fine. sorry, My network was disconnected", "session_id": 18965, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "gimme a min", "session_id": 18965, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 18965, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "im back!", "session_id": 18965, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "Hooray!", "session_id": 18965, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "yay!", "session_id": 18965, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "pizza party!!", "session_id": 18965, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "lol i wish", "session_id": 18965, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "I had some!", "session_id": 18965, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "Yay!", "session_id": 18965, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "how should we start?", "session_id": 18965, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "We can go over the standard derivatives and then do problems", "session_id": 18965, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "Best way to get understanding", "session_id": 18965, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "Were you able to look over polynomial and trig derivatives?", "session_id": 18965, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "We also need to address the chain rule", "session_id": 18965, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "yes, I look over the cheat sheet. I memorized the trig derivatives", "session_id": 18965, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "awesome", "session_id": 18965, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "You can test.", "session_id": 18965, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "do i open the textbook?", "session_id": 18965, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "IYKYK", "session_id": 18965, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "can you solve these", "session_id": 18965, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "yes!", "session_id": 18965, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "done! it was easy", "session_id": 18965, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "good", "session_id": 18965, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "oh sorry, I didn't notice you were writting.", "session_id": 18965, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "its ok", "session_id": 18965, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "i'm confusing myself", "session_id": 18965, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "how?", "session_id": 18965, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "where is it confusing?", "session_id": 18965, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "I can do it but I forgot the notation for it", "session_id": 18965, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "i think you should have take dg", "session_id": 18965, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "no its dx", "session_id": 18965, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "that way dg cancels", "session_id": 18965, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "does that make sense", "session_id": 18965, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "yes, It does.", "session_id": 18965, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "you have an imbedded function", "session_id": 18965, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "this dg under df is not correct.", "session_id": 18965, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "it should be dx", "session_id": 18965, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "ohh, I got it what you did. It is right.", "session_id": 18965, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "thanks for checking me", "session_id": 18965, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "shouldn't it be like this, like you explained earier", "session_id": 18965, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "well lets confirm it", "session_id": 18965, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "using cos2x, we can use product rule", "session_id": 18965, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "okay", "session_id": 18965, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "there should be a \"+\" in between", "session_id": 18965, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "no", "session_id": 18965, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "oh ok! right, i confused it with product rule", "session_id": 18965, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "can you use product rule to solve the second problem", "session_id": 18965, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "example*", "session_id": 18965, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "yes", "session_id": 18965, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 18965, "sequence_id": 53, "annotations": []}
{"role": "student", "content": "is that right?", "session_id": 18965, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 18965, "sequence_id": 55, "annotations": []}
{"role": "student", "content": "I didn't know i had to substitute y later on.", "session_id": 18965, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "its ok", "session_id": 18965, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "sometimes it isn't an easy thing to substitute y in and its easier just to keep y", "session_id": 18965, "sequence_id": 58, "annotations": []}
{"role": "student", "content": "yeah, depends upon question.", "session_id": 18965, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "you can see how it would be easier to do x^y and y=tan(x)^2 as just x^y first", "session_id": 18965, "sequence_id": 60, "annotations": []}
{"role": "student", "content": "yes, that's right", "session_id": 18965, "sequence_id": 61, "annotations": []}
{"role": "student", "content": "so, we first differentiate f with respect to dg. then differentiate g respect to x?", "session_id": 18965, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 18965, "sequence_id": 63, "annotations": []}
{"role": "student", "content": "ok, gimme a min", "session_id": 18965, "sequence_id": 64, "annotations": []}
{"role": "student", "content": "in xy, who is f and g?", "session_id": 18965, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "I changed it", "session_id": 18965, "sequence_id": 66, "annotations": []}
{"role": "student", "content": "ok", "session_id": 18965, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "Though I seem to have done derivative wrong as I get the wrong answer", "session_id": 18965, "sequence_id": 68, "annotations": []}
{"role": "student", "content": "where did you get wrong answer?", "session_id": 18965, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "I got 2x^2 up top", "session_id": 18965, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "didn't make sense to me", "session_id": 18965, "sequence_id": 71, "annotations": []}
{"role": "student", "content": "ohh, gimme a min", "session_id": 18965, "sequence_id": 72, "annotations": []}
{"role": "student", "content": "how did you get 2x and x?", "session_id": 18965, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "dy/dx=2x, x is a constant in df/dy", "session_id": 18965, "sequence_id": 74, "annotations": []}
{"role": "student", "content": "how do you know x is a constant?", "session_id": 18965, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "derivative with respect to y", "session_id": 18965, "sequence_id": 76, "annotations": []}
{"role": "student", "content": "you can apply product rule to that?", "session_id": 18965, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "where are you look at?", "session_id": 18965, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "looking*", "session_id": 18965, "sequence_id": 79, "annotations": []}
{"role": "student", "content": "where you took eg - f=xy and y =x^2", "session_id": 18965, "sequence_id": 80, "annotations": []}
{"role": "student", "content": "above cos2x", "session_id": 18965, "sequence_id": 81, "annotations": []}
{"role": "student", "content": "yes here", "session_id": 18965, "sequence_id": 82, "annotations": []}
{"role": "volunteer", "content": "right, so when you take derivative with respect to y, x is a constant", "session_id": 18965, "sequence_id": 83, "annotations": []}
{"role": "volunteer", "content": "eg.\nf=ax ==> df/dx=a", "session_id": 18965, "sequence_id": 84, "annotations": []}
{"role": "student", "content": "yes, right", "session_id": 18965, "sequence_id": 85, "annotations": []}
{"role": "student", "content": "but below in blue writing, you wrote df/dx", "session_id": 18965, "sequence_id": 86, "annotations": []}
{"role": "student", "content": "yes here, dy/dx", "session_id": 18965, "sequence_id": 87, "annotations": []}
{"role": "volunteer", "content": "right", "session_id": 18965, "sequence_id": 88, "annotations": []}
{"role": "student", "content": "shouldn't y be constant here?", "session_id": 18965, "sequence_id": 89, "annotations": []}
{"role": "volunteer", "content": "It because we have to consider both variables here", "session_id": 18965, "sequence_id": 90, "annotations": []}
{"role": "student", "content": "I got it, what you were doing wrong", "session_id": 18965, "sequence_id": 91, "annotations": []}
{"role": "student", "content": "when you got 2x^2", "session_id": 18965, "sequence_id": 92, "annotations": []}
{"role": "volunteer", "content": "what was it?", "session_id": 18965, "sequence_id": 93, "annotations": []}
{"role": "volunteer", "content": "where did i err", "session_id": 18965, "sequence_id": 94, "annotations": []}
{"role": "student", "content": "Im writing on board", "session_id": 18965, "sequence_id": 95, "annotations": []}
{"role": "volunteer", "content": "good job", "session_id": 18965, "sequence_id": 96, "annotations": []}
{"role": "student", "content": "thanks! you got it where you mistake?", "session_id": 18965, "sequence_id": 97, "annotations": []}
{"role": "volunteer", "content": "keep going", "session_id": 18965, "sequence_id": 98, "annotations": []}
{"role": "volunteer", "content": "good", "session_id": 18965, "sequence_id": 99, "annotations": []}
{"role": "student", "content": "arigato!", "session_id": 18965, "sequence_id": 100, "annotations": []}
{"role": "student", "content": "how do we know if an alphabet is a constant?", "session_id": 18965, "sequence_id": 101, "annotations": []}
{"role": "volunteer", "content": "so there is something called implicit differentiation", "session_id": 18965, "sequence_id": 102, "annotations": []}
{"role": "volunteer", "content": "that is where you assume every letter is a variable", "session_id": 18965, "sequence_id": 103, "annotations": []}
{"role": "volunteer", "content": "most of the time we only use one variable, and every other letter is a constant", "session_id": 18965, "sequence_id": 104, "annotations": []}
{"role": "volunteer", "content": "You won't deal with implicit differentiation until multivariable calculus", "session_id": 18965, "sequence_id": 105, "annotations": []}
{"role": "student", "content": "can you tell if i have implicit differentiation in my syllabus?", "session_id": 18965, "sequence_id": 106, "annotations": []}
{"role": "student", "content": "It has second order derivative", "session_id": 18965, "sequence_id": 107, "annotations": []}
{"role": "volunteer", "content": "derivative of a function with respect to another function is chain rule", "session_id": 18965, "sequence_id": 108, "annotations": []}
{"role": "volunteer", "content": "You don't have implicit differentiation", "session_id": 18965, "sequence_id": 109, "annotations": []}
{"role": "volunteer", "content": "We still have to go over second order derivatives and maxima and minima", "session_id": 18965, "sequence_id": 110, "annotations": []}
{"role": "volunteer", "content": "actually scroll down to section 6", "session_id": 18965, "sequence_id": 111, "annotations": []}
{"role": "volunteer", "content": "differential equations is where we start implicit differentiation", "session_id": 18965, "sequence_id": 112, "annotations": []}
{"role": "volunteer", "content": "well hold on", "session_id": 18965, "sequence_id": 113, "annotations": []}
{"role": "volunteer", "content": "I remember it from multivariable calculus, thats where we deal with 3d space xyz", "session_id": 18965, "sequence_id": 114, "annotations": []}
{"role": "volunteer", "content": "diff eq was after multivariable", "session_id": 18965, "sequence_id": 115, "annotations": []}
{"role": "student", "content": "ohh, three variables?", "session_id": 18965, "sequence_id": 116, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 18965, "sequence_id": 117, "annotations": []}
{"role": "volunteer", "content": "x+y-z=1", "session_id": 18965, "sequence_id": 118, "annotations": []}
{"role": "volunteer", "content": "stuff like that", "session_id": 18965, "sequence_id": 119, "annotations": []}
{"role": "volunteer", "content": "this represents a plane", "session_id": 18965, "sequence_id": 120, "annotations": []}
{"role": "student", "content": "oh no, that's bad!", "session_id": 18965, "sequence_id": 121, "annotations": []}
{"role": "volunteer", "content": "I don't see anything about 3d space here", "session_id": 18965, "sequence_id": 122, "annotations": []}
{"role": "volunteer", "content": "spheres, planes, prisms", "session_id": 18965, "sequence_id": 123, "annotations": []}
{"role": "student", "content": "there is. another section for it", "session_id": 18965, "sequence_id": 124, "annotations": []}
{"role": "volunteer", "content": "those are 3d shapes", "session_id": 18965, "sequence_id": 125, "annotations": []}
{"role": "volunteer", "content": "where?", "session_id": 18965, "sequence_id": 126, "annotations": []}
{"role": "volunteer", "content": "what section was it?", "session_id": 18965, "sequence_id": 127, "annotations": []}
{"role": "student", "content": "section 4", "session_id": 18965, "sequence_id": 128, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 18965, "sequence_id": 129, "annotations": []}
{"role": "student", "content": "I highlighted it with green", "session_id": 18965, "sequence_id": 130, "annotations": []}
{"role": "volunteer", "content": "i see it", "session_id": 18965, "sequence_id": 131, "annotations": []}
{"role": "volunteer", "content": "which textbook is it?", "session_id": 18965, "sequence_id": 132, "annotations": []}
{"role": "volunteer", "content": "class 11 chapter 12", "session_id": 18965, "sequence_id": 133, "annotations": []}
{"role": "volunteer", "content": "so chapter before derivatives", "session_id": 18965, "sequence_id": 134, "annotations": []}
{"role": "student", "content": "oh, you asking for chapter", "session_id": 18965, "sequence_id": 135, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 18965, "sequence_id": 136, "annotations": []}
{"role": "student", "content": "can you send me link please?", "session_id": 18965, "sequence_id": 137, "annotations": []}
{"role": "volunteer", "content": "for the 3d space?", "session_id": 18965, "sequence_id": 138, "annotations": []}
{"role": "volunteer", "content": "same textbook we are using", "session_id": 18965, "sequence_id": 139, "annotations": []}
{"role": "volunteer", "content": "Calculus 201", "session_id": 18965, "sequence_id": 140, "annotations": [{"pii_type": "COURSE", "surrogate": "Calculus 201", "start": 0, "end": 12}]}
{"role": "volunteer", "content": "Dr. Smith \u2013 In this section we will discuss implicit differentiation. Not every function can be explicitly written in terms of the independent variable, e.g. y = f(x) and yet we will still need to know what f'(x) is. Implicit differentiation will allow us to find the derivative in these cases. Knowing implicit differentiation will allow us to do one of the more important applications of derivatives, Related Rates (the next section).", "session_id": 18965, "sequence_id": 141, "annotations": [{"pii_type": "PERSON", "surrogate": "Dr. Smith", "start": 0, "end": 9}]}
{"role": "student", "content": "sorry, network issue", "session_id": 18965, "sequence_id": 142, "annotations": []}
{"role": "student", "content": "gimme a min", "session_id": 18965, "sequence_id": 143, "annotations": []}
{"role": "student", "content": "im back!", "session_id": 18965, "sequence_id": 144, "annotations": []}
{"role": "volunteer", "content": "btw what program, or type of school are you in to be taking these classes", "session_id": 18965, "sequence_id": 145, "annotations": []}
{"role": "volunteer", "content": "I didn'XYZ University (multivariable, diff eq and linear algebra)", "session_id": 18965, "sequence_id": 146, "annotations": [{"pii_type": "SCHOOL", "surrogate": "XYZ University", "start": 7, "end": 21}]}
{"role": "student", "content": "the exam I mentioned is basically AP Calculus, so I\u2019ve been going over some higher-level math this summer to get ready for it", "session_id": 18965, "sequence_id": 147, "annotations": []}
{"role": "student", "content": "and for other topics, we have 2 substitute teachers that covers those topics", "session_id": 18965, "sequence_id": 148, "annotations": []}
{"role": "volunteer", "content": "AB or BC?", "session_id": 18965, "sequence_id": 149, "annotations": []}
{"role": "student", "content": "bc", "session_id": 18965, "sequence_id": 150, "annotations": []}
{"role": "volunteer", "content": "so we have gone over everything up to chain rule", "session_id": 18965, "sequence_id": 151, "annotations": []}
{"role": "volunteer", "content": "next would be derivative of a composite function and second order derivatives", "session_id": 18965, "sequence_id": 152, "annotations": []}
{"role": "volunteer", "content": "critical points", "session_id": 18965, "sequence_id": 153, "annotations": []}
{"role": "student", "content": "okay, do i stop casting?", "session_id": 18965, "sequence_id": 154, "annotations": []}
{"role": "volunteer", "content": "sure", "session_id": 18965, "sequence_id": 155, "annotations": []}
{"role": "student", "content": "ok", "session_id": 18965, "sequence_id": 156, "annotations": []}
{"role": "student", "content": "Im covering vector. and i read about xyz planes", "session_id": 18965, "sequence_id": 157, "annotations": []}
{"role": "volunteer", "content": "when?", "session_id": 18965, "sequence_id": 158, "annotations": []}
{"role": "volunteer", "content": "you are doing vector space now?", "session_id": 18965, "sequence_id": 159, "annotations": []}
{"role": "volunteer", "content": "dot product and cross product?", "session_id": 18965, "sequence_id": 160, "annotations": []}
{"role": "student", "content": "yes, I started like 10 days ago. I studied dot product, cross product", "session_id": 18965, "sequence_id": 161, "annotations": []}
{"role": "student", "content": "magnitude of vector, direction of vector", "session_id": 18965, "sequence_id": 162, "annotations": []}
{"role": "student", "content": "magnitude of vector, direction of vector", "session_id": 18965, "sequence_id": 163, "annotations": []}
{"role": "student", "content": "unit, null, collinear vector", "session_id": 18965, "sequence_id": 164, "annotations": []}
{"role": "volunteer", "content": "right", "session_id": 18965, "sequence_id": 165, "annotations": []}
{"role": "volunteer", "content": "good", "session_id": 18965, "sequence_id": 166, "annotations": []}
{"role": "student", "content": "yeah, Im studing from this textbook class 12. it has lot of things.", "session_id": 18965, "sequence_id": 167, "annotations": []}
{"role": "volunteer", "content": "sounds like it, this is setup for physics", "session_id": 18965, "sequence_id": 168, "annotations": []}
{"role": "volunteer", "content": "Newtonian mechanics", "session_id": 18965, "sequence_id": 169, "annotations": []}
{"role": "volunteer", "content": "collisions, forces", "session_id": 18965, "sequence_id": 170, "annotations": []}
{"role": "student", "content": "ohh, I see. will i be studing them later on this year?", "session_id": 18965, "sequence_id": 171, "annotations": []}
{"role": "volunteer", "content": "depends if you are taking physics", "session_id": 18965, "sequence_id": 172, "annotations": []}
{"role": "volunteer", "content": "I think its A and C you cover it, projectile motion", "session_id": 18965, "sequence_id": 173, "annotations": []}
{"role": "volunteer", "content": "I think B has wave and optics", "session_id": 18965, "sequence_id": 174, "annotations": []}
{"role": "volunteer", "content": "I may be entirely wrong", "session_id": 18965, "sequence_id": 175, "annotations": []}
{"role": "volunteer", "content": "Wait, 3 topics or courses are (1) electricity and magnetism, (2) newtonian mechanis and (3) wave and optics", "session_id": 18965, "sequence_id": 176, "annotations": []}
{"role": "volunteer", "content": "not in that order", "session_id": 18965, "sequence_id": 177, "annotations": []}
{"role": "student", "content": "ohh, Im not sure If i want to take physics. i don't like it.", "session_id": 18965, "sequence_id": 178, "annotations": []}
{"role": "volunteer", "content": "haha, no need to be shy", "session_id": 18965, "sequence_id": 179, "annotations": []}
{"role": "volunteer", "content": "unless you don't need to take it", "session_id": 18965, "sequence_id": 180, "annotations": []}
{"role": "student", "content": "yes, I will have to research about it. how much it is necessary", "session_id": 18965, "sequence_id": 181, "annotations": []}
{"role": "volunteer", "content": "State University major", "session_id": 18965, "sequence_id": 182, "annotations": [{"pii_type": "SCHOOL", "surrogate": "State University", "start": 0, "end": 16}]}
{"role": "student", "content": "im thinking about computer science", "session_id": 18965, "sequence_id": 183, "annotations": []}
{"role": "volunteer", "content": "You may need at least one physics course", "session_id": 18965, "sequence_id": 184, "annotations": []}
{"role": "volunteer", "content": "but it depends on the school and their syllabus", "session_id": 18965, "sequence_id": 185, "annotations": []}
{"role": "student", "content": "oh, that's bad! why do we need physics in cs", "session_id": 18965, "sequence_id": 186, "annotations": []}
{"role": "volunteer", "content": "I don't think you will need a physics course", "session_id": 18965, "sequence_id": 187, "annotations": []}
{"role": "volunteer", "content": "you definitely need linear algebra", "session_id": 18965, "sequence_id": 188, "annotations": []}
{"role": "volunteer", "content": "but probably don't need diff eq", "session_id": 18965, "sequence_id": 189, "annotations": []}
{"role": "volunteer", "content": "again depends on your school", "session_id": 18965, "sequence_id": 190, "annotations": []}
{"role": "student", "content": "yeah, I'll have to look it up.", "session_id": 18965, "sequence_id": 191, "annotations": []}
{"role": "student", "content": "are you a cs major?", "session_id": 18965, "sequence_id": 192, "annotations": []}
{"role": "volunteer", "content": "no me", "session_id": 18965, "sequence_id": 193, "annotations": []}
{"role": "volunteer", "content": "meche", "session_id": 18965, "sequence_id": 194, "annotations": []}
{"role": "student", "content": "oh, That's cool. do you make robots?", "session_id": 18965, "sequence_id": 195, "annotations": []}
{"role": "volunteer", "content": "no, I manufacture parts", "session_id": 18965, "sequence_id": 196, "annotations": []}
{"role": "student", "content": "oh awesome!", "session_id": 18965, "sequence_id": 197, "annotations": []}
{"role": "volunteer", "content": "what do you want to do with cs?", "session_id": 18965, "sequence_id": 198, "annotations": []}
{"role": "student", "content": "i wanna go in cybersecurity.", "session_id": 18965, "sequence_id": 199, "annotations": []}
{"role": "student", "content": "i think it's cool.", "session_id": 18965, "sequence_id": 200, "annotations": []}
{"role": "volunteer", "content": "That is cool, Red or Blue team?", "session_id": 18965, "sequence_id": 201, "annotations": []}
{"role": "student", "content": "im still thinking about it", "session_id": 18965, "sequence_id": 202, "annotations": []}
{"role": "student", "content": "im gonna start with blue team tho.", "session_id": 18965, "sequence_id": 203, "annotations": []}
{"role": "volunteer", "content": "good ole ethical hacking", "session_id": 18965, "sequence_id": 204, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 18965, "sequence_id": 205, "annotations": []}
{"role": "student", "content": "gimme 5 min pls", "session_id": 18965, "sequence_id": 206, "annotations": []}
{"role": "volunteer", "content": "yea", "session_id": 18965, "sequence_id": 207, "annotations": []}
{"role": "student", "content": "im back!", "session_id": 18965, "sequence_id": 208, "annotations": []}
{"role": "volunteer", "content": "welcome back", "session_id": 18965, "sequence_id": 209, "annotations": []}
{"role": "student", "content": "domo arigato!", "session_id": 18965, "sequence_id": 210, "annotations": []}
{"role": "student", "content": "I want to highlight topics we have covered", "session_id": 18965, "sequence_id": 211, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 18965, "sequence_id": 212, "annotations": []}
{"role": "student", "content": "im sorry, my netowrk doesn't seem to wanna work at all.", "session_id": 18965, "sequence_id": 213, "annotations": []}
{"role": "volunteer", "content": "NOOOOOOOOOOOOOOOO", "session_id": 18965, "sequence_id": 214, "annotations": []}
{"role": "student", "content": "we'll do that tomorrow", "session_id": 18965, "sequence_id": 215, "annotations": []}
{"role": "volunteer", "content": "ok. is this goodbye", "session_id": 18965, "sequence_id": 216, "annotations": []}
{"role": "volunteer", "content": "good night?", "session_id": 18965, "sequence_id": 217, "annotations": []}
{"role": "student", "content": "yup! i guess", "session_id": 18965, "sequence_id": 218, "annotations": []}
{"role": "volunteer", "content": "Alex?", "session_id": 18965, "sequence_id": 219, "annotations": [{"pii_type": "PERSON", "surrogate": "Alex", "start": 0, "end": 4}]}
{"role": "volunteer", "content": "John~Emily", "session_id": 18965, "sequence_id": 220, "annotations": [{"pii_type": "PERSON", "surrogate": "John", "start": 0, "end": 4}, {"pii_type": "PERSON", "surrogate": "Emily", "start": 5, "end": 10}]}
{"role": "volunteer", "content": "Have a great night and morrow", "session_id": 18965, "sequence_id": 221, "annotations": []}
{"role": "student", "content": "Chris", "session_id": 18965, "sequence_id": 222, "annotations": [{"pii_type": "PERSON", "surrogate": "Chris", "start": 0, "end": 5}]}
{"role": "volunteer", "content": "Sarah", "session_id": 18965, "sequence_id": 223, "annotations": [{"pii_type": "PERSON", "surrogate": "Sarah", "start": 0, "end": 5}]}
{"role": "volunteer", "content": "ready", "session_id": 18965, "sequence_id": 224, "annotations": []}
{"role": "volunteer", "content": "Hey Maya!", "session_id": 18987, "sequence_id": 0, "annotations": [{"pii_type": "PERSON", "surrogate": "Maya", "start": 4, "end": 8}]}
{"role": "volunteer", "content": "How can I help?", "session_id": 18987, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "Hi! \ud83d\udc4b", "session_id": 18987, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "I\u2019m going into tenth grade, but my math is around late-ninth grade level. I want to catch up and get ahead. Can you give me tips or a plan to study?", "session_id": 18987, "sequence_id": 3, "annotations": [{"pii_type": "GRADE_LEVEL", "surrogate": "tenth grade", "start": 15, "end": 26}, {"pii_type": "GRADE_LEVEL", "surrogate": "ninth grade", "start": 55, "end": 66}]}
{"role": "volunteer", "content": "Yeah, sure!", "session_id": 18987, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "Schools around the country all have different standards for math, so what does late-ninth grade math mean for you?", "session_id": 18987, "sequence_id": 5, "annotations": [{"pii_type": "GRADE_LEVEL", "surrogate": "ninth grade", "start": 84, "end": 95}]}
{"role": "student", "content": "My MCAS results show that my math skills are at a late-ninth grade level. I want to use that information to figure out what I should focus on to catch up as soon as possible.", "session_id": 18987, "sequence_id": 6, "annotations": [{"pii_type": "GRADE_LEVEL", "surrogate": "ninth grade", "start": 55, "end": 66}]}
{"role": "volunteer", "content": "Gotcha, I see", "session_id": 18987, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "Honestly, I think some of the best resources you'll have are probably your teachersf", "session_id": 18987, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "*teachers", "session_id": 18987, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "They'll know your strengths and weaknesses with respect to mathematics much better than I do, since they know the context of your school and the context of your performance", "session_id": 18987, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "My first piece of advice would be to ask them for possible resources to work ahead/enrich yourself so that you can work your way back to grade level", "session_id": 18987, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "Yeah, you\u2019re right", "session_id": 18987, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "Thanks for the feedback", "session_id": 18987, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "Mhm!", "session_id": 18987, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "Of course, there's also online resources", "session_id": 18987, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "I\u2019ll get working now on math. Again, thanks for the advice", "session_id": 18987, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "Hey Ben!", "session_id": 19537, "sequence_id": 0, "annotations": [{"pii_type": "PERSON", "surrogate": "Ben", "start": 4, "end": 7}]}
{"role": "volunteer", "content": "How can I help?", "session_id": 19537, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "can you help me solve this problem step by step", "session_id": 19537, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "Yeah, sure!", "session_id": 19537, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "determine the length of the missing leg and hypotenuse of each the special right triangles", "session_id": 19537, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "ok", "session_id": 19537, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "hello?", "session_id": 19537, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "Hi!", "session_id": 19537, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "Is that all?", "session_id": 19537, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "yes", "session_id": 19537, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "Alright, gotcha", "session_id": 19537, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "Let's start by identifying what kind of special right triangle this is", "session_id": 19537, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "What do you think it is?", "session_id": 19537, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "I'm not sure?", "session_id": 19537, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "That's okay!", "session_id": 19537, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "How familiar are you with special right triangles?", "session_id": 19537, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "not that well", "session_id": 19537, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "Would it help if we reviewed them together?", "session_id": 19537, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "sure!", "session_id": 19537, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "Awesome!", "session_id": 19537, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "Alright, done!", "session_id": 19537, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "ok", "session_id": 19537, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "Let's go top to bottom with the 3 common special right triangles", "session_id": 19537, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "To start, we have the 30-60-90 triangle (named after its angles)", "session_id": 19537, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "Its sides will always have the ratio 1 : sqrt3 : 2", "session_id": 19537, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "Next, we have the 45-45-90 triangle", "session_id": 19537, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "ok", "session_id": 19537, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "Its sides will always have the ratio 1 : 1 : sqrt2", "session_id": 19537, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "ok", "session_id": 19537, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "Finally, we have the 3-4-5 triangle", "session_id": 19537, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "This one's a bit different because it doesn't have clean angles, so we just name it using its sides", "session_id": 19537, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "ok", "session_id": 19537, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "It is a very famous pythagorean triple, so it is pretty well known as a special right triangle", "session_id": 19537, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "yes", "session_id": 19537, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "Alright, that's it for now!", "session_id": 19537, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "okidki", "session_id": 19537, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "Now, do you think you can identify which type of right triangle this is?", "session_id": 19537, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "the last one?", "session_id": 19537, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "Close!", "session_id": 19537, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "Take a peak at the angles", "session_id": 19537, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "the first one?", "session_id": 19537, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "Yeah!", "session_id": 19537, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "Do you understand why?", "session_id": 19537, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "explain why please", "session_id": 19537, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "Alright, sure", "session_id": 19537, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "helo?", "session_id": 19537, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "My internet isn't great, sorry", "session_id": 19537, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "its okay mines isn't either don't worry", "session_id": 19537, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "Gotcha, thank you", "session_id": 19537, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "The triangle we have is 30-60-90 because its angles match that of a 30-60-90 triangle", "session_id": 19537, "sequence_id": 49, "annotations": []}
{"role": "student", "content": "right", "session_id": 19537, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "You can find that the other angle in our triangle is 60 degrees by doing 180 - 90 - 30 = 60", "session_id": 19537, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "It isn't 45-45-90 because the angles aren't the same", "session_id": 19537, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "It also isn't 3-4-5 because the angles aren't the same", "session_id": 19537, "sequence_id": 53, "annotations": []}
{"role": "student", "content": "ok", "session_id": 19537, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "The angles in a 3-4-5 triangle happen to be 36.87..., 53.13..., and 90", "session_id": 19537, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "It's really messy, which is why no one actually makes you memorize those angles", "session_id": 19537, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "Does that make sense?", "session_id": 19537, "sequence_id": 57, "annotations": []}
{"role": "student", "content": "yes", "session_id": 19537, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "Great!", "session_id": 19537, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "Now that you know what type of triangle this is, let's look at the ratios", "session_id": 19537, "sequence_id": 60, "annotations": []}
{"role": "student", "content": "okk", "session_id": 19537, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "Since this is a 30-60-90 triangle, we notice that the ratios of the sides are 1 : sqrt3 : 2", "session_id": 19537, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "That means that the ratio between the side with length 6 and the sqrt3 is the same as the ratio between x and 2", "session_id": 19537, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "Do you see why?", "session_id": 19537, "sequence_id": 64, "annotations": []}
{"role": "student", "content": "yes", "session_id": 19537, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "Great!", "session_id": 19537, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "Do you think you can express that in the form of an equation that you can solve?", "session_id": 19537, "sequence_id": 67, "annotations": []}
{"role": "student", "content": "I don't think so", "session_id": 19537, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "Alright, I can walk you through it", "session_id": 19537, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "Ratios are fundamentally just fractions", "session_id": 19537, "sequence_id": 70, "annotations": []}
{"role": "student", "content": "thxs", "session_id": 19537, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "The ratio 1:2 just means 1/2", "session_id": 19537, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "2:3 = 2/3", "session_id": 19537, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "And so on", "session_id": 19537, "sequence_id": 74, "annotations": []}
{"role": "student", "content": "kk", "session_id": 19537, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "This means, if we let our hypotenuse be a variable x, we can use the ratios we have to say that since \nx : 6 = 2 : sqrt3,\nx / 6 = 2 / sqrt3", "session_id": 19537, "sequence_id": 76, "annotations": []}
{"role": "student", "content": "kk", "session_id": 19537, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "Now, you can solve that equation to find the hypotenuse", "session_id": 19537, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "What do you think it would be?", "session_id": 19537, "sequence_id": 79, "annotations": []}
{"role": "student", "content": "nooooo", "session_id": 19537, "sequence_id": 80, "annotations": []}
{"role": "student", "content": "I definitely need help", "session_id": 19537, "sequence_id": 81, "annotations": []}
{"role": "volunteer", "content": "That's okay!", "session_id": 19537, "sequence_id": 82, "annotations": []}
{"role": "volunteer", "content": "Do you get my reasoning from earlier?", "session_id": 19537, "sequence_id": 83, "annotations": []}
{"role": "student", "content": "yes I do", "session_id": 19537, "sequence_id": 84, "annotations": []}
{"role": "volunteer", "content": "Great!", "session_id": 19537, "sequence_id": 85, "annotations": []}
{"role": "volunteer", "content": "So, we have this equation where x is the hypotenuse", "session_id": 19537, "sequence_id": 86, "annotations": []}
{"role": "student", "content": "okay", "session_id": 19537, "sequence_id": 87, "annotations": []}
{"role": "volunteer", "content": "We want to find x, since that's what the hypotenuse is", "session_id": 19537, "sequence_id": 88, "annotations": []}
{"role": "student", "content": "so multiple 6 both sides?", "session_id": 19537, "sequence_id": 89, "annotations": []}
{"role": "volunteer", "content": "Yep!", "session_id": 19537, "sequence_id": 90, "annotations": []}
{"role": "student", "content": "x= 2 root3 times 6", "session_id": 19537, "sequence_id": 91, "annotations": []}
{"role": "volunteer", "content": "2 / sqrt3 * 6, yeah", "session_id": 19537, "sequence_id": 92, "annotations": []}
{"role": "volunteer", "content": "Do you know how to simplify that?", "session_id": 19537, "sequence_id": 93, "annotations": []}
{"role": "student", "content": "nope", "session_id": 19537, "sequence_id": 94, "annotations": []}
{"role": "volunteer", "content": "That's alright, it looks harder than it is", "session_id": 19537, "sequence_id": 95, "annotations": []}
{"role": "volunteer", "content": "First of all, you don't want a square root in your denominator, so you multiply both the numerator and denominator by sqrt3", "session_id": 19537, "sequence_id": 96, "annotations": []}
{"role": "volunteer", "content": "I'm writing this on the whiteboard btw", "session_id": 19537, "sequence_id": 97, "annotations": []}
{"role": "student", "content": "okk", "session_id": 19537, "sequence_id": 98, "annotations": []}
{"role": "student", "content": "I see thank you", "session_id": 19537, "sequence_id": 99, "annotations": []}
{"role": "volunteer", "content": "Do you see how to continue?", "session_id": 19537, "sequence_id": 100, "annotations": []}
{"role": "student", "content": "does the root 3 disappear", "session_id": 19537, "sequence_id": 101, "annotations": []}
{"role": "volunteer", "content": "The two sqrt3s turn into a 3", "session_id": 19537, "sequence_id": 102, "annotations": []}
{"role": "volunteer", "content": "That's because sqrt3 * sqrt3 = 3", "session_id": 19537, "sequence_id": 103, "annotations": []}
{"role": "student", "content": "ok", "session_id": 19537, "sequence_id": 104, "annotations": []}
{"role": "student", "content": "then?", "session_id": 19537, "sequence_id": 105, "annotations": []}
{"role": "volunteer", "content": "Then, you just do the calculations", "session_id": 19537, "sequence_id": 106, "annotations": []}
{"role": "volunteer", "content": "2 * 6 / 3 = 4", "session_id": 19537, "sequence_id": 107, "annotations": []}
{"role": "student", "content": "how you get 4", "session_id": 19537, "sequence_id": 108, "annotations": []}
{"role": "volunteer", "content": "2 * 6 = 12, and 12 / 3 = 4", "session_id": 19537, "sequence_id": 109, "annotations": []}
{"role": "student", "content": "does the  root3 disappear", "session_id": 19537, "sequence_id": 110, "annotations": []}
{"role": "volunteer", "content": "No, the root3 in the numerator is still there", "session_id": 19537, "sequence_id": 111, "annotations": []}
{"role": "volunteer", "content": "I just calculated the green boxed portion", "session_id": 19537, "sequence_id": 112, "annotations": []}
{"role": "student", "content": "ohhhhh okayyy I see I see", "session_id": 19537, "sequence_id": 113, "annotations": []}
{"role": "student", "content": "thank you", "session_id": 19537, "sequence_id": 114, "annotations": []}
{"role": "volunteer", "content": "Of course, is this making more sense", "session_id": 19537, "sequence_id": 115, "annotations": []}
{"role": "student", "content": "yes", "session_id": 19537, "sequence_id": 116, "annotations": []}
{"role": "student", "content": "does the 4root 3 go where?", "session_id": 19537, "sequence_id": 117, "annotations": []}
{"role": "volunteer", "content": "That's what x is, so that is your hypotenuse!", "session_id": 19537, "sequence_id": 118, "annotations": []}
{"role": "student", "content": "so instead of 2x its 4 root 3", "session_id": 19537, "sequence_id": 119, "annotations": []}
{"role": "volunteer", "content": "Sorry, the numbers are a bit misleading", "session_id": 19537, "sequence_id": 120, "annotations": []}
{"role": "volunteer", "content": "The red numbers are meant to be the ratios, while the black numbers are the actual side lengths", "session_id": 19537, "sequence_id": 121, "annotations": []}
{"role": "student", "content": "okayy", "session_id": 19537, "sequence_id": 122, "annotations": []}
{"role": "student", "content": "so now we just need one length right", "session_id": 19537, "sequence_id": 123, "annotations": []}
{"role": "volunteer", "content": "Yep!", "session_id": 19537, "sequence_id": 124, "annotations": []}
{"role": "volunteer", "content": "It's the same exact process", "session_id": 19537, "sequence_id": 125, "annotations": []}
{"role": "volunteer", "content": "Just with different ratios", "session_id": 19537, "sequence_id": 126, "annotations": []}
{"role": "student", "content": "wait can we practice it again with those ratios", "session_id": 19537, "sequence_id": 127, "annotations": []}
{"role": "volunteer", "content": "Elaborate?", "session_id": 19537, "sequence_id": 128, "annotations": []}
{"role": "student", "content": "can you help me find the last length", "session_id": 19537, "sequence_id": 129, "annotations": []}
{"role": "volunteer", "content": "Yeah, sure!", "session_id": 19537, "sequence_id": 130, "annotations": []}
{"role": "volunteer", "content": "The ratios are a bit different though", "session_id": 19537, "sequence_id": 131, "annotations": []}
{"role": "student", "content": "okay", "session_id": 19537, "sequence_id": 132, "annotations": []}
{"role": "volunteer", "content": "Looking at the red numbers, what would the ratio be?", "session_id": 19537, "sequence_id": 133, "annotations": []}
{"role": "student", "content": "1:root3", "session_id": 19537, "sequence_id": 134, "annotations": []}
{"role": "volunteer", "content": "Exactly!", "session_id": 19537, "sequence_id": 135, "annotations": []}
{"role": "volunteer", "content": "Now, do you remember how to set up the equation?", "session_id": 19537, "sequence_id": 136, "annotations": []}
{"role": "volunteer", "content": "Let's say x is the unknown side", "session_id": 19537, "sequence_id": 137, "annotations": []}
{"role": "student", "content": "ok", "session_id": 19537, "sequence_id": 138, "annotations": []}
{"role": "volunteer", "content": "Can you set up the equation?", "session_id": 19537, "sequence_id": 139, "annotations": []}
{"role": "student", "content": "no help me", "session_id": 19537, "sequence_id": 140, "annotations": []}
{"role": "student", "content": "is it 1/root3", "session_id": 19537, "sequence_id": 141, "annotations": []}
{"role": "volunteer", "content": "That's one side, yes!", "session_id": 19537, "sequence_id": 142, "annotations": []}
{"role": "student", "content": "is the other 1/2", "session_id": 19537, "sequence_id": 143, "annotations": []}
{"role": "volunteer", "content": "Not quite, remember that you now want to use the numbers and variables that you know", "session_id": 19537, "sequence_id": 144, "annotations": []}
{"role": "volunteer", "content": "Here, you know one of the sides is 6 and the other side is x", "session_id": 19537, "sequence_id": 145, "annotations": []}
{"role": "volunteer", "content": "Does that ring a bell?", "session_id": 19537, "sequence_id": 146, "annotations": []}
{"role": "student", "content": "so 1/2=1/root3", "session_id": 19537, "sequence_id": 147, "annotations": []}
{"role": "student", "content": "so x/6=1/root3?", "session_id": 19537, "sequence_id": 148, "annotations": []}
{"role": "volunteer", "content": "The second equation is correct, yep!", "session_id": 19537, "sequence_id": 149, "annotations": []}
{"role": "volunteer", "content": "How did you get the first equation?", "session_id": 19537, "sequence_id": 150, "annotations": []}
{"role": "student", "content": "so in this case it would be like=ke this I'ma write on the board", "session_id": 19537, "sequence_id": 151, "annotations": []}
{"role": "volunteer", "content": "Gotcha, sure!", "session_id": 19537, "sequence_id": 152, "annotations": []}
{"role": "volunteer", "content": "You're totally correct so far!", "session_id": 19537, "sequence_id": 153, "annotations": []}
{"role": "student", "content": "I need help on what to do after", "session_id": 19537, "sequence_id": 154, "annotations": []}
{"role": "volunteer", "content": "What can you multiply both the numerator and the denominator by to get rid of the sqrt3 in the denominator?", "session_id": 19537, "sequence_id": 155, "annotations": []}
{"role": "student", "content": "is that right?", "session_id": 19537, "sequence_id": 156, "annotations": []}
{"role": "volunteer", "content": "Yes!", "session_id": 19537, "sequence_id": 157, "annotations": []}
{"role": "student", "content": "can you help me after", "session_id": 19537, "sequence_id": 158, "annotations": []}
{"role": "volunteer", "content": "Sure, I'll try to nudge you in the right direction", "session_id": 19537, "sequence_id": 159, "annotations": []}
{"role": "volunteer", "content": "You can simplify the denominators, what's sqrt3 * sqrt3?", "session_id": 19537, "sequence_id": 160, "annotations": []}
{"role": "student", "content": "wait so would that leave 3 by its self", "session_id": 19537, "sequence_id": 161, "annotations": []}
{"role": "volunteer", "content": "That would leave 3 in the denominator", "session_id": 19537, "sequence_id": 162, "annotations": []}
{"role": "student", "content": "and after", "session_id": 19537, "sequence_id": 163, "annotations": []}
{"role": "volunteer", "content": "Now, you don't have to do anything with the sqrt3 except let it hang there", "session_id": 19537, "sequence_id": 164, "annotations": []}
{"role": "volunteer", "content": "However, you can simplify 6/3", "session_id": 19537, "sequence_id": 165, "annotations": []}
{"role": "student", "content": "as 2 right", "session_id": 19537, "sequence_id": 166, "annotations": []}
{"role": "volunteer", "content": "Yes!", "session_id": 19537, "sequence_id": 167, "annotations": []}
{"role": "student", "content": "right", "session_id": 19537, "sequence_id": 168, "annotations": []}
{"role": "volunteer", "content": "Since that's what x is, that'll be what your last side is", "session_id": 19537, "sequence_id": 169, "annotations": []}
{"role": "student", "content": "2xroot3?", "session_id": 19537, "sequence_id": 170, "annotations": []}
{"role": "volunteer", "content": "x is equal to 2sqrt3, so it'll just be 2sqrt3", "session_id": 19537, "sequence_id": 171, "annotations": []}
{"role": "volunteer", "content": "Do you mean multiplication when you write x?", "session_id": 19537, "sequence_id": 172, "annotations": []}
{"role": "student", "content": "yes", "session_id": 19537, "sequence_id": 173, "annotations": []}
{"role": "volunteer", "content": "Ah, gotcha", "session_id": 19537, "sequence_id": 174, "annotations": []}
{"role": "volunteer", "content": "In that case, you're totally right!", "session_id": 19537, "sequence_id": 175, "annotations": []}
{"role": "student", "content": "I wrote it at the top where the rest of the lengths are is that correct", "session_id": 19537, "sequence_id": 176, "annotations": []}
{"role": "volunteer", "content": "Yep!", "session_id": 19537, "sequence_id": 177, "annotations": []}
{"role": "volunteer", "content": "Do you understand the process a bit more now?", "session_id": 19537, "sequence_id": 178, "annotations": []}
{"role": "student", "content": "yess I do I do", "session_id": 19537, "sequence_id": 179, "annotations": []}
{"role": "volunteer", "content": "Great!", "session_id": 19537, "sequence_id": 180, "annotations": []}
{"role": "volunteer", "content": "Is that all?", "session_id": 19537, "sequence_id": 181, "annotations": []}
{"role": "student", "content": "is that all I do?", "session_id": 19537, "sequence_id": 182, "annotations": []}
{"role": "student", "content": "yes that's all for me on my part", "session_id": 19537, "sequence_id": 183, "annotations": []}
{"role": "volunteer", "content": "determine the length of the missing leg and hypotenuse of each the special right triangles", "session_id": 19537, "sequence_id": 184, "annotations": []}
{"role": "volunteer", "content": "If this is the problem, I don't see what else there is to do", "session_id": 19537, "sequence_id": 185, "annotations": []}
{"role": "volunteer", "content": "You found the missing leg and hypotenuse", "session_id": 19537, "sequence_id": 186, "annotations": []}
{"role": "student", "content": "yess that's all thank you so much", "session_id": 19537, "sequence_id": 187, "annotations": []}
{"role": "volunteer", "content": "Of course, I'm glad I could help!", "session_id": 19537, "sequence_id": 188, "annotations": []}
{"role": "student", "content": "for your help and patience have a good rest of your day", "session_id": 19537, "sequence_id": 189, "annotations": []}
{"role": "volunteer", "content": "You too, it was a joy working with you", "session_id": 19537, "sequence_id": 190, "annotations": []}
{"role": "volunteer", "content": "Cya!", "session_id": 19537, "sequence_id": 191, "annotations": []}
{"role": "student", "content": "bye", "session_id": 19537, "sequence_id": 192, "annotations": []}
{"role": "volunteer", "content": "Hi Alex!", "session_id": 19842, "sequence_id": 0, "annotations": [{"pii_type": "PERSON", "surrogate": "Alex", "start": 3, "end": 7}]}
{"role": "student", "content": "Hello my name is Alex", "session_id": 19842, "sequence_id": 1, "annotations": [{"pii_type": "PERSON", "surrogate": "Alex", "start": 17, "end": 21}]}
{"role": "volunteer", "content": "Oh sorry, hey Alex", "session_id": 19842, "sequence_id": 2, "annotations": [{"pii_type": "PERSON", "surrogate": "Alex", "start": 14, "end": 18}]}
{"role": "student", "content": "Sarah is my mom", "session_id": 19842, "sequence_id": 3, "annotations": [{"pii_type": "PERSON", "surrogate": "Sarah", "start": 0, "end": 5}]}
{"role": "volunteer", "content": "Okay, how can I help you today?", "session_id": 19842, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "Before do the work i have a pet to watch us", "session_id": 19842, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "Okay cool", "session_id": 19842, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "Is there any question you need help with? Or a general topic?", "session_id": 19842, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "The pet is coming", "session_id": 19842, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "Okay", "session_id": 19842, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "I\u2019m going to send the work pic after", "session_id": 19842, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "Okay, whenever you're ready", "session_id": 19842, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "Okay should we start with question 1?", "session_id": 19842, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 19842, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "Oh is 1 8", "session_id": 19842, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "When they tell us what x is, all we need to do is swap out x for the number", "session_id": 19842, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "5 is negative so we need to keep that in mind!", "session_id": 19842, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "So what would 3-5 be?", "session_id": 19842, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "Then it is -2", "session_id": 19842, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "Yes!", "session_id": 19842, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "Okay let's move on to 2", "session_id": 19842, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "Can you finish the equation?", "session_id": 19842, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "11 1/2", "session_id": 19842, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "Great!", "session_id": 19842, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "How would you write out the a= equation for question 3", "session_id": 19842, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "Can you finish the equation?", "session_id": 19842, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "-5", "session_id": 19842, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "Wait", "session_id": 19842, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "Not quite, let's take it step by step", "session_id": 19842, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "First let's do (-2-3)/5", "session_id": 19842, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "What would -2-3 be?", "session_id": 19842, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "-5", "session_id": 19842, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "Yup!", "session_id": 19842, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "And then we have -5/5 which is", "session_id": 19842, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "-5", "session_id": 19842, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "Or-1", "session_id": 19842, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "Yes -1", "session_id": 19842, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "Then it should be-15", "session_id": 19842, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "When we divide the same number the answer is always 1", "session_id": 19842, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "And when the top number is negative, while the bottom number is positive the number is negative too", "session_id": 19842, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "Thats why here we have -1", "session_id": 19842, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "All good with that?", "session_id": 19842, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 19842, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "Is the answer -15", "session_id": 19842, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "yeah the final answer is -15", "session_id": 19842, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "You got it in the end :)", "session_id": 19842, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "W=-8", "session_id": 19842, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "Yes!", "session_id": 19842, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "Okay let's start with -1^2", "session_id": 19842, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "Are we on 6", "session_id": 19842, "sequence_id": 49, "annotations": []}
{"role": "student", "content": "Yes or no", "session_id": 19842, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "Not yet, we're on 5", "session_id": 19842, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "Do you know how to calculate -1 squared?", "session_id": 19842, "sequence_id": 52, "annotations": []}
{"role": "student", "content": "M=3", "session_id": 19842, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "Not quite, let's take it step by step", "session_id": 19842, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "What is -1 squared", "session_id": 19842, "sequence_id": 55, "annotations": []}
{"role": "student", "content": "Do we follow pemdas", "session_id": 19842, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "Yes, so we first want to see what -1 squared is", "session_id": 19842, "sequence_id": 57, "annotations": []}
{"role": "student", "content": "And it is 1", "session_id": 19842, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "Yes", "session_id": 19842, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "So we have 3 x 1", "session_id": 19842, "sequence_id": 60, "annotations": []}
{"role": "student", "content": "3", "session_id": 19842, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "Now we have -(-1) which would be", "session_id": 19842, "sequence_id": 62, "annotations": []}
{"role": "student", "content": "1", "session_id": 19842, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "Yes", "session_id": 19842, "sequence_id": 64, "annotations": []}
{"role": "student", "content": "2", "session_id": 19842, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "And now we just have -7", "session_id": 19842, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "So what is 4 - 7?", "session_id": 19842, "sequence_id": 67, "annotations": []}
{"role": "student", "content": "-3", "session_id": 19842, "sequence_id": 68, "annotations": []}
{"role": "student", "content": "M=-3", "session_id": 19842, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "Yes!", "session_id": 19842, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "Awesome", "session_id": 19842, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "Do you have an idea how you would write an algebraic equation for 6?", "session_id": 19842, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "Just the equation for now, without solving it yet", "session_id": 19842, "sequence_id": 73, "annotations": []}
{"role": "student", "content": "No", "session_id": 19842, "sequence_id": 74, "annotations": []}
{"role": "student", "content": "No", "session_id": 19842, "sequence_id": 75, "annotations": []}
{"role": "student", "content": "No", "session_id": 19842, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "Okay", "session_id": 19842, "sequence_id": 77, "annotations": []}
{"role": "student", "content": "Wait", "session_id": 19842, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "Let's make p stand for pineapples and m stand for mango", "session_id": 19842, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "Okay", "session_id": 19842, "sequence_id": 80, "annotations": []}
{"role": "student", "content": "No", "session_id": 19842, "sequence_id": 81, "annotations": []}
{"role": "student", "content": "You can continue", "session_id": 19842, "sequence_id": 82, "annotations": []}
{"role": "volunteer", "content": "Okay", "session_id": 19842, "sequence_id": 83, "annotations": []}
{"role": "volunteer", "content": "So we want to just focus on this part for now", "session_id": 19842, "sequence_id": 84, "annotations": []}
{"role": "volunteer", "content": "we have p and m and we know that there are 8 less p than m", "session_id": 19842, "sequence_id": 85, "annotations": []}
{"role": "volunteer", "content": "How could we write that out?", "session_id": 19842, "sequence_id": 86, "annotations": []}
{"role": "student", "content": "8=P-8", "session_id": 19842, "sequence_id": 87, "annotations": []}
{"role": "student", "content": "No m=p-8", "session_id": 19842, "sequence_id": 88, "annotations": []}
{"role": "volunteer", "content": "Good thinking but not quite", "session_id": 19842, "sequence_id": 89, "annotations": []}
{"role": "volunteer", "content": "We do use the subtraction that's true", "session_id": 19842, "sequence_id": 90, "annotations": []}
{"role": "volunteer", "content": "What would we do to m to make it the same number as p", "session_id": 19842, "sequence_id": 91, "annotations": []}
{"role": "student", "content": "-", "session_id": 19842, "sequence_id": 92, "annotations": []}
{"role": "volunteer", "content": "which one would you pick a or b", "session_id": 19842, "sequence_id": 93, "annotations": []}
{"role": "student", "content": "What is a", "session_id": 19842, "sequence_id": 94, "annotations": []}
{"role": "student", "content": "And whaat is b", "session_id": 19842, "sequence_id": 95, "annotations": []}
{"role": "volunteer", "content": "a) p = m + 8 pr b) p = m -8", "session_id": 19842, "sequence_id": 96, "annotations": []}
{"role": "student", "content": "B", "session_id": 19842, "sequence_id": 97, "annotations": []}
{"role": "student", "content": "B", "session_id": 19842, "sequence_id": 98, "annotations": []}
{"role": "student", "content": "B", "session_id": 19842, "sequence_id": 99, "annotations": []}
{"role": "student", "content": "B", "session_id": 19842, "sequence_id": 100, "annotations": []}
{"role": "student", "content": "B", "session_id": 19842, "sequence_id": 101, "annotations": []}
{"role": "student", "content": "B", "session_id": 19842, "sequence_id": 102, "annotations": []}
{"role": "student", "content": "B", "session_id": 19842, "sequence_id": 103, "annotations": []}
{"role": "student", "content": "B", "session_id": 19842, "sequence_id": 104, "annotations": []}
{"role": "student", "content": "B", "session_id": 19842, "sequence_id": 105, "annotations": []}
{"role": "student", "content": "B", "session_id": 19842, "sequence_id": 106, "annotations": []}
{"role": "volunteer", "content": "Yes", "session_id": 19842, "sequence_id": 107, "annotations": []}
{"role": "student", "content": "B", "session_id": 19842, "sequence_id": 108, "annotations": []}
{"role": "volunteer", "content": "Okay let's go through the difference between your answer and b before we move forward", "session_id": 19842, "sequence_id": 109, "annotations": []}
{"role": "volunteer", "content": "Let's say p is 10", "session_id": 19842, "sequence_id": 110, "annotations": []}
{"role": "student", "content": "We just need the eq", "session_id": 19842, "sequence_id": 111, "annotations": []}
{"role": "student", "content": "But yes", "session_id": 19842, "sequence_id": 112, "annotations": []}
{"role": "volunteer", "content": "Yes but what we need more importantly, is for you to understand how to get there without my help so you can be ready for class and tests", "session_id": 19842, "sequence_id": 113, "annotations": []}
{"role": "volunteer", "content": "So with your equation we have that m is 2 and p is 10", "session_id": 19842, "sequence_id": 114, "annotations": []}
{"role": "volunteer", "content": "But does this satisfy our original rule that p has 8 less than m?", "session_id": 19842, "sequence_id": 115, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 19842, "sequence_id": 116, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 19842, "sequence_id": 117, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 19842, "sequence_id": 118, "annotations": []}
{"role": "volunteer", "content": "But is m is 2, then it's m that's 8 less than m", "session_id": 19842, "sequence_id": 119, "annotations": []}
{"role": "student", "content": "Nod", "session_id": 19842, "sequence_id": 120, "annotations": []}
{"role": "volunteer", "content": "But what we need, is p to be eight digits smaller than m", "session_id": 19842, "sequence_id": 121, "annotations": []}
{"role": "volunteer", "content": "So what do we change to your equation, to make sure that p is eight smaller than m instead", "session_id": 19842, "sequence_id": 122, "annotations": []}
{"role": "student", "content": "P+8", "session_id": 19842, "sequence_id": 123, "annotations": []}
{"role": "volunteer", "content": "Yes that works!", "session_id": 19842, "sequence_id": 124, "annotations": []}
{"role": "volunteer", "content": "Awesome", "session_id": 19842, "sequence_id": 125, "annotations": []}
{"role": "student", "content": "Now i think i have an eq for 7", "session_id": 19842, "sequence_id": 126, "annotations": []}
{"role": "volunteer", "content": "Okay, great type it out for me", "session_id": 19842, "sequence_id": 127, "annotations": []}
{"role": "student", "content": "J=(b-12)divide 2", "session_id": 19842, "sequence_id": 128, "annotations": []}
{"role": "volunteer", "content": "Yeah that's right", "session_id": 19842, "sequence_id": 129, "annotations": []}
{"role": "volunteer", "content": "Do you want to go over how you calculated that", "session_id": 19842, "sequence_id": 130, "annotations": []}
{"role": "student", "content": "That becomes the - and the divide", "session_id": 19842, "sequence_id": 131, "annotations": []}
{"role": "volunteer", "content": "Yup", "session_id": 19842, "sequence_id": 132, "annotations": []}
{"role": "volunteer", "content": "Great work!", "session_id": 19842, "sequence_id": 133, "annotations": []}
{"role": "student", "content": "The answer key says it is b=2j+12", "session_id": 19842, "sequence_id": 134, "annotations": []}
{"role": "volunteer", "content": "I feel like you're doing really well with these. My advice would be to double check as you're going along because one small blunder can impact the whole equation, and have more confidence", "session_id": 19842, "sequence_id": 135, "annotations": []}
{"role": "volunteer", "content": "Yes b = 2j + 12 is your equation rearranged", "session_id": 19842, "sequence_id": 136, "annotations": []}
{"role": "student", "content": "Which is the opposite", "session_id": 19842, "sequence_id": 137, "annotations": []}
{"role": "volunteer", "content": "Do you want me to show you how to rearrange it into the answer guide", "session_id": 19842, "sequence_id": 138, "annotations": []}
{"role": "student", "content": "You just flip the signs into + and x", "session_id": 19842, "sequence_id": 139, "annotations": []}
{"role": "student", "content": "But x is 2j", "session_id": 19842, "sequence_id": 140, "annotations": []}
{"role": "student", "content": "2j is 2xj", "session_id": 19842, "sequence_id": 141, "annotations": []}
{"role": "volunteer", "content": "Yes!", "session_id": 19842, "sequence_id": 142, "annotations": []}
{"role": "student", "content": "I think we are done", "session_id": 19842, "sequence_id": 143, "annotations": []}
{"role": "volunteer", "content": "Okay, good luck with everything and always feel free to reach out. I feel like you know this stuff well and can do it!", "session_id": 19842, "sequence_id": 144, "annotations": []}
{"role": "student", "content": "Bye bye", "session_id": 19842, "sequence_id": 145, "annotations": []}
{"role": "volunteer", "content": "Bye! :)", "session_id": 19842, "sequence_id": 146, "annotations": []}
{"role": "student", "content": "Hello!", "session_id": 20176, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "Hey Jamie, what do you need help with today?", "session_id": 20176, "sequence_id": 1, "annotations": [{"pii_type": "PERSON", "surrogate": "Jamie", "start": 4, "end": 9}]}
{"role": "student", "content": "I need help with one question. I'll upload it on the board!", "session_id": 20176, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "Alright, what about this question confuses you?", "session_id": 20176, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "I'm not sure how to start the problem", "session_id": 20176, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "Alright, how about we try rearranging the equation?", "session_id": 20176, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "Do you see any way we can make the equation easier for us to utilize?", "session_id": 20176, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "Is that right?", "session_id": 20176, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "Well instead of replacing the terms, how about before we do that step, we just rearrange where the terms are?", "session_id": 20176, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "do you know what a constant term is?", "session_id": 20176, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "not really", "session_id": 20176, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "I missed the class on this topic so I'm not sure", "session_id": 20176, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "Ok let me give you  an example", "session_id": 20176, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "now in this equation, what do you think the constant term is", "session_id": 20176, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "3", "session_id": 20176, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "Now, that means that when x = 0, J(x) = 3, correct?", "session_id": 20176, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "yes", "session_id": 20176, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "Now, understandinrtg that, lets rearrange the equation a bit", "session_id": 20176, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "Do you understand how I rearranged the equation, and why?", "session_id": 20176, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 20176, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "Is it to find what the value of g(x) is?", "session_id": 20176, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "Well not g(x)", "session_id": 20176, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "that wouold be a function", "session_id": 20176, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "we would be finding g(0) with this", "session_id": 20176, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "now how would you go about doing that?", "session_id": 20176, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "with this new equation, knowing what J(0) and g(0)) and x) equal", "session_id": 20176, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "okay", "session_id": 20176, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "There you go!", "session_id": 20176, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "okay", "session_id": 20176, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "Is there anything else you have any issues with or do not understand?", "session_id": 20176, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "nope!", "session_id": 20176, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "Alright then, have a good day!", "session_id": 20176, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "Thank you, you too!", "session_id": 20176, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "Hi! how are you doing?", "session_id": 20307, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "Hello, I am fine, how are you?", "session_id": 20307, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "great!", "session_id": 20307, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "so, how can i help you today?", "session_id": 20307, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "are you able to see the request i said when it asked me my goals for tody", "session_id": 20307, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "yes, i can, so you want algebra questions to match the Florida ones?", "session_id": 20307, "sequence_id": 5, "annotations": [{"pii_type": "LOCATION", "surrogate": "Florida", "start": 55, "end": 62}]}
{"role": "student", "content": "yeah from the same cirriculum as Florida algrba one classes", "session_id": 20307, "sequence_id": 6, "annotations": [{"pii_type": "LOCATION", "surrogate": "Florida", "start": 33, "end": 40}]}
{"role": "volunteer", "content": "could you be more precise with what lesson you need help with?", "session_id": 20307, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "or i can research the curriculum but that can take some time", "session_id": 20307, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "oh i dont need help just to get me a headstart because of the summer", "session_id": 20307, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "im going into 9th grade so i just need a little reboot of my math skills again", "session_id": 20307, "sequence_id": 10, "annotations": [{"pii_type": "GRADE_LEVEL", "surrogate": "9th grade", "start": 14, "end": 23}]}
{"role": "volunteer", "content": "let me take a minute to research a bit.", "session_id": 20307, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "k", "session_id": 20307, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "or you could just give me regular algebra one pornmbles", "session_id": 20307, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "Northwood High School, particularly to Algebra I. Northwood High School, Northwood High School credit\u2013bearing course and requires passing the statewide Algebra I End\u2011of\u2011Course (EOC) assessment, which counts for 30% Northwood High School credit, though it doesn\u2019t affect promotion beyond that grade level\nA student who completes Algebra I in 7th may progress to Geometry in 8th grade, paving the way to Calculas", "session_id": 20307, "sequence_id": 14, "annotations": [{"pii_type": "SCHOOL", "surrogate": "Northwood High School", "start": 0, "end": 21}, {"pii_type": "SCHOOL", "surrogate": "Northwood High School", "start": 50, "end": 71}, {"pii_type": "SCHOOL", "surrogate": "Northwood High School", "start": 73, "end": 94}, {"pii_type": "SCHOOL", "surrogate": "Northwood High School", "start": 215, "end": 236}]}
{"role": "student", "content": "pretty sure there simalar anyway", "session_id": 20307, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "here is what i found. if you also need help with what to revise tell me", "session_id": 20307, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "yeah that sounds about right", "session_id": 20307, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "okay, one min", "session_id": 20307, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "1. Foundational Pre-Algebra Skills\nThese are must-know basics:\n\nOperations with integers: positive and negative numbers, order of operations (PEMDAS)\n\nFractions and decimals: operations, conversions, simplifying\n\nRatios, proportions, and percentages\n\nExponents and square roots (basic)\n\nSolving one-step and two-step equations\n\nProperties of operations: distributive, associative, commutative\n\nUnderstanding variables and expressions\n\nBasic coordinate plane skills: plotting points, reading graphs\n\n2. Preview of Algebra I Concepts\nThese are good to introduce during summer to reduce difficulty later:\n\nSimplifying algebraic expressions: combining like terms, using distributive property\n\nSolving multi-step linear equations\n\nUnderstanding functions: input/output, function notation, interpreting tables\n\nGraphing linear equations: slope-intercept form \ny=mx+bSolving inequalities and representing them on a number line\n\nBasics of quadratic expressions (just the idea, not factoring yet)\n\nReal-life application problems using equations and graphs", "session_id": 20307, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "here is what you can revise over the summer to be ready. you can find plenty of materials and excercises online to help you", "session_id": 20307, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "huh", "session_id": 20307, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "what", "session_id": 20307, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "What's wrong?", "session_id": 20307, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "i need the actual problems", "session_id": 20307, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "so i cna solve them", "session_id": 20307, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "oh okay. i can create some right now. one min", "session_id": 20307, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "i asked to like find some algebra one problems", "session_id": 20307, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "ok great thanks", "session_id": 20307, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "could you write it on the board", "session_id": 20307, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "or paste the picture of it", "session_id": 20307, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "Ok, so i created some equations and functions. Do you want me to write them on the board?", "session_id": 20307, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "yes please", "session_id": 20307, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "i will do them one by one so you can solve them", "session_id": 20307, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "ook", "session_id": 20307, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "you can do this", "session_id": 20307, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "r you sure this is algebra one", "session_id": 20307, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "this seems too easy", "session_id": 20307, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "we can start easy", "session_id": 20307, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "ok", "session_id": 20307, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "3x+10", "session_id": 20307, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 20307, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "still simpifying", "session_id": 20307, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "5x-26", "session_id": 20307, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "Yes", "session_id": 20307, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "now, solve for x", "session_id": 20307, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "k", "session_id": 20307, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "are these separate problems?", "session_id": 20307, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 20307, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "sorry my power went out for like 5 minutes", "session_id": 20307, "sequence_id": 49, "annotations": []}
{"role": "student", "content": "x=3.5", "session_id": 20307, "sequence_id": 50, "annotations": []}
{"role": "student", "content": "i think", "session_id": 20307, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "for the first?", "session_id": 20307, "sequence_id": 52, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 20307, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "yes, it is", "session_id": 20307, "sequence_id": 54, "annotations": []}
{"role": "student", "content": "and 6", "session_id": 20307, "sequence_id": 55, "annotations": []}
{"role": "student", "content": "for 2", "session_id": 20307, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "yes, correct.", "session_id": 20307, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "now i will write in the chat two systems bcs it is taking me forever to clean this board lol.", "session_id": 20307, "sequence_id": 58, "annotations": []}
{"role": "student", "content": "k srry", "session_id": 20307, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "1\ny=2x+3\n3x+y=9", "session_id": 20307, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "2\n2x-3y=12\n4x+3y=6", "session_id": 20307, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "you can work on these", "session_id": 20307, "sequence_id": 62, "annotations": []}
{"role": "student", "content": "6/5", "session_id": 20307, "sequence_id": 63, "annotations": []}
{"role": "student", "content": "27/5", "session_id": 20307, "sequence_id": 64, "annotations": []}
{"role": "student", "content": "x,y", "session_id": 20307, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "Yes", "session_id": 20307, "sequence_id": 66, "annotations": []}
{"role": "student", "content": "and 3,,-2", "session_id": 20307, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "yes, correct", "session_id": 20307, "sequence_id": 68, "annotations": []}
{"role": "student", "content": "first one was a bit trickier", "session_id": 20307, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "now I will give you a function", "session_id": 20307, "sequence_id": 70, "annotations": []}
{"role": "student", "content": "also theres a featur with the three dots", "session_id": 20307, "sequence_id": 71, "annotations": []}
{"role": "student", "content": "at the tools at the bottom", "session_id": 20307, "sequence_id": 72, "annotations": []}
{"role": "student", "content": "if you click the three dots you can delete the whole board or undoo everything", "session_id": 20307, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "Yeah, I saw it. You are my first math student sorry", "session_id": 20307, "sequence_id": 74, "annotations": []}
{"role": "student", "content": "its fine", "session_id": 20307, "sequence_id": 75, "annotations": []}
{"role": "student", "content": "this is algebra?", "session_id": 20307, "sequence_id": 76, "annotations": []}
{"role": "student", "content": "looks funky for algebra one", "session_id": 20307, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "Yes", "session_id": 20307, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "these are functions.", "session_id": 20307, "sequence_id": 79, "annotations": []}
{"role": "student", "content": "ok", "session_id": 20307, "sequence_id": 80, "annotations": []}
{"role": "volunteer", "content": "you can try them", "session_id": 20307, "sequence_id": 81, "annotations": []}
{"role": "student", "content": "whats p and f", "session_id": 20307, "sequence_id": 82, "annotations": []}
{"role": "volunteer", "content": "Where do you see p?", "session_id": 20307, "sequence_id": 83, "annotations": []}
{"role": "volunteer", "content": "f is function", "session_id": 20307, "sequence_id": 84, "annotations": []}
{"role": "volunteer", "content": "you basically have to convert the x with 0 and 2", "session_id": 20307, "sequence_id": 85, "annotations": []}
{"role": "volunteer", "content": "so for the first one find", "session_id": 20307, "sequence_id": 86, "annotations": []}
{"role": "volunteer", "content": "Thats an f", "session_id": 20307, "sequence_id": 87, "annotations": []}
{"role": "student", "content": "oh", "session_id": 20307, "sequence_id": 88, "annotations": []}
{"role": "student", "content": "why are there two functions", "session_id": 20307, "sequence_id": 89, "annotations": []}
{"role": "volunteer", "content": "sorry my writing is bad", "session_id": 20307, "sequence_id": 90, "annotations": []}
{"role": "volunteer", "content": "you have to find the function when x is 0 and when x is 2", "session_id": 20307, "sequence_id": 91, "annotations": []}
{"role": "student", "content": "x is 0 and 2 at the same time", "session_id": 20307, "sequence_id": 92, "annotations": []}
{"role": "student", "content": "?", "session_id": 20307, "sequence_id": 93, "annotations": []}
{"role": "volunteer", "content": "So it is for the first one: 3*0^2 - 2*0 +1", "session_id": 20307, "sequence_id": 94, "annotations": []}
{"role": "volunteer", "content": "you have two points there", "session_id": 20307, "sequence_id": 95, "annotations": []}
{"role": "volunteer", "content": "one where x is 0", "session_id": 20307, "sequence_id": 96, "annotations": []}
{"role": "volunteer", "content": "and one when x is 2", "session_id": 20307, "sequence_id": 97, "annotations": []}
{"role": "student", "content": "ok", "session_id": 20307, "sequence_id": 98, "annotations": []}
{"role": "volunteer", "content": "do the math and the first should =1", "session_id": 20307, "sequence_id": 99, "annotations": []}
{"role": "volunteer", "content": "find the second", "session_id": 20307, "sequence_id": 100, "annotations": []}
{"role": "student", "content": "ahh ok ok", "session_id": 20307, "sequence_id": 101, "annotations": []}
{"role": "student", "content": "i understand", "session_id": 20307, "sequence_id": 102, "annotations": []}
{"role": "student", "content": "it now", "session_id": 20307, "sequence_id": 103, "annotations": []}
{"role": "volunteer", "content": "thats good", "session_id": 20307, "sequence_id": 104, "annotations": []}
{"role": "student", "content": "9", "session_id": 20307, "sequence_id": 105, "annotations": []}
{"role": "student", "content": "ill be right back", "session_id": 20307, "sequence_id": 106, "annotations": []}
{"role": "volunteer", "content": "Yes", "session_id": 20307, "sequence_id": 107, "annotations": []}
{"role": "volunteer", "content": "okay sure", "session_id": 20307, "sequence_id": 108, "annotations": []}
{"role": "student", "content": "i am back", "session_id": 20307, "sequence_id": 109, "annotations": []}
{"role": "volunteer", "content": "ok, so now i prepared a problem", "session_id": 20307, "sequence_id": 110, "annotations": []}
{"role": "student", "content": "hmm did you connect?", "session_id": 20307, "sequence_id": 111, "annotations": []}
{"role": "volunteer", "content": "The population of a bacteria culture doubles every hour. If there 100 bacterias in the start, how many will there be after 5 hours", "session_id": 20307, "sequence_id": 112, "annotations": []}
{"role": "student", "content": "hmmm simple", "session_id": 20307, "sequence_id": 113, "annotations": []}
{"role": "student", "content": "3200", "session_id": 20307, "sequence_id": 114, "annotations": []}
{"role": "volunteer", "content": "Yes", "session_id": 20307, "sequence_id": 115, "annotations": []}
{"role": "volunteer", "content": "Is the point (3,-4) a solution to the equation y=-2x+2", "session_id": 20307, "sequence_id": 116, "annotations": []}
{"role": "volunteer", "content": "this is the last one i prepared", "session_id": 20307, "sequence_id": 117, "annotations": []}
{"role": "student", "content": "yes", "session_id": 20307, "sequence_id": 118, "annotations": []}
{"role": "volunteer", "content": "ok, perfect", "session_id": 20307, "sequence_id": 119, "annotations": []}
{"role": "volunteer", "content": "so, do you have any questions now?", "session_id": 20307, "sequence_id": 120, "annotations": []}
{"role": "student", "content": "nope", "session_id": 20307, "sequence_id": 121, "annotations": []}
{"role": "student", "content": "do you have blooket", "session_id": 20307, "sequence_id": 122, "annotations": []}
{"role": "student", "content": "account", "session_id": 20307, "sequence_id": 123, "annotations": []}
{"role": "volunteer", "content": "no, never heard of it", "session_id": 20307, "sequence_id": 124, "annotations": []}
{"role": "student", "content": "oh ok", "session_id": 20307, "sequence_id": 125, "annotations": []}
{"role": "volunteer", "content": "if you ever need help, just in the feedback favorite me, and you can request another session with me", "session_id": 20307, "sequence_id": 126, "annotations": []}
{"role": "student", "content": "you can favorite", "session_id": 20307, "sequence_id": 127, "annotations": []}
{"role": "student", "content": "and request?", "session_id": 20307, "sequence_id": 128, "annotations": []}
{"role": "volunteer", "content": "i can give additional material here and you will be emailed, but its better if you request it", "session_id": 20307, "sequence_id": 129, "annotations": []}
{"role": "student", "content": "ok", "session_id": 20307, "sequence_id": 130, "annotations": []}
{"role": "student", "content": "bye thanks for the help", "session_id": 20307, "sequence_id": 131, "annotations": []}
{"role": "volunteer", "content": "bye, anytime!", "session_id": 20307, "sequence_id": 132, "annotations": []}
{"role": "volunteer", "content": "Hi! How are you?", "session_id": 20433, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "Good and you?", "session_id": 20433, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "Greaet", "session_id": 20433, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "What can I do for you today :)", "session_id": 20433, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "Is this for AP Precalc", "session_id": 20433, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "I want to understand how to solve these questions", "session_id": 20433, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "O", "session_id": 20433, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 20433, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "For the first question, I think we can simplify it first", "session_id": 20433, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "First we can move all the x to one side, ie |y+2| = 2x + |y-2|", "session_id": 20433, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "Then the y terms", "session_id": 20433, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "We can then get |y+2| - |y-2| = 2x, which can be further simplified to 0.5 (|y+2| - |y-2|) = x", "session_id": 20433, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "You divided by two why aren\u2019t they under the y values", "session_id": 20433, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "I multiplied by 0.5", "session_id": 20433, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "Oh", "session_id": 20433, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "I understand", "session_id": 20433, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "I don't have a stylus on me so I'll be typing a bit", "session_id": 20433, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "Okay", "session_id": 20433, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "With the equation we get we can see that if we plug in y = -4 and values around it, we can visualize what it can look like", "session_id": 20433, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "Lemme get a desmos snipit real quick", "session_id": 20433, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "Ok", "session_id": 20433, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "Back to the equation, we can see that with the two absolute values of |y+2| - |y-2|, if y is negative, x will also be negative", "session_id": 20433, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "for example if y = -1. we will end up with |1| - |-3| = 1 - 3 = -4", "session_id": 20433, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "So for one, we know that near y = -4, the implicit equation will be negative", "session_id": 20433, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "Oh okay makes sense", "session_id": 20433, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "next, we can see that at y = -2 and 2, the equation suddenly jumps to an infinitely steep slope", "session_id": 20433, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "but if we analyze the equation", "session_id": 20433, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "Ok", "session_id": 20433, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "we can see that |y+2| - |y-2| will lead to x being 2 or -2 past y = 2 and -2", "session_id": 20433, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "Okay makes sense", "session_id": 20433, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "Basically with this problem it's best to simplify and then plug in values near the point specified", "session_id": 20433, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "for problem 2 we can compare rate of change.", "session_id": 20433, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "Using the y_2-y_1/x_2-x_1 for slope", "session_id": 20433, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "We can plug in and see that we get slope = N - 0 / -1.1-(-1)", "session_id": 20433, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "or N / -0.1", "session_id": 20433, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "N can\u2019t be negative and can\u2019t be zero so B CD automatically are eliminated", "session_id": 20433, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "absolutely!", "session_id": 20433, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "Okay that one was easy", "session_id": 20433, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "So with -0.1 in the denominator we get this one", "session_id": 20433, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "It's been a while since I've done parametrics so I might need a moment", "session_id": 20433, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "It\u2019s okay", "session_id": 20433, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "Okay so first step would be to get t, so we can sub in x = t", "session_id": 20433, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "we then get y * e^t = 3, and simplifying, we can get y = 3/e^t", "session_id": 20433, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "so, with x = t and y = 3/e^t", "session_id": 20433, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "x has a slope of 1 (with x = t) and y is a negative exponential", "session_id": 20433, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "Thus y will have a negative slope", "session_id": 20433, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "I posted an image of the parametric", "session_id": 20433, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "For most of the parametric problems, it'll ask either to analyze the x and y components", "session_id": 20433, "sequence_id": 47, "annotations": []}
{"role": "student", "content": "Oh okay", "session_id": 20433, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "Thank you", "session_id": 20433, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "btw are you comfortable with isolating equations for the x and y components for parametrics", "session_id": 20433, "sequence_id": 50, "annotations": []}
{"role": "student", "content": "Can you give me an example", "session_id": 20433, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "Let's say I want you to give me the equation y = x^2 in the form of (x(t), y(t)))", "session_id": 20433, "sequence_id": 52, "annotations": []}
{"role": "student", "content": "I will make x equal to t", "session_id": 20433, "sequence_id": 53, "annotations": []}
{"role": "student", "content": "And since y equals x squared then it\u2019s turned to y equals t squared", "session_id": 20433, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "nice", "session_id": 20433, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "For ap precalc I think for parametrics the most difficult part is knowing how to find the x and y components", "session_id": 20433, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "past that when you have them isolated you can often just look at the components individually for what the problem's asking for", "session_id": 20433, "sequence_id": 57, "annotations": []}
{"role": "student", "content": "Okay", "session_id": 20433, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "for example a circle, x^2 + y ^2 = r, it adds in trigonometry when getting the x and y components", "session_id": 20433, "sequence_id": 59, "annotations": []}
{"role": "student", "content": "An ellipse too", "session_id": 20433, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "it'll look something like x = rcos(t), y = rsin(t)", "session_id": 20433, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "yeah", "session_id": 20433, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "ap precalc is mostly an algebra review course of calculus", "session_id": 20433, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "So a lot of practice is good", "session_id": 20433, "sequence_id": 64, "annotations": []}
{"role": "student", "content": "I am going to take calculus in a week for my sophomore year \u2026 is it hard", "session_id": 20433, "sequence_id": 65, "annotations": [{"pii_type": "GRADE_LEVEL", "surrogate": "sophomore", "start": 45, "end": 54}]}
{"role": "volunteer", "content": "I would say if you got the fundamentals for algebra down it'll be pretty light for the first half", "session_id": 20433, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "Derivatives and limits are very similar to the rest of algebra", "session_id": 20433, "sequence_id": 67, "annotations": []}
{"role": "student", "content": "Oh okay", "session_id": 20433, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "There's some really good sources online", "session_id": 20433, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "I would recommend youtubers like blackpenredpen", "session_id": 20433, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "he posts videos like doing 100 derivatives, integrals, precalc equations, etc", "session_id": 20433, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "and he explains the concepts really well", "session_id": 20433, "sequence_id": 72, "annotations": []}
{"role": "student", "content": "Oh wow", "session_id": 20433, "sequence_id": 73, "annotations": []}
{"role": "student", "content": "Thank you so much", "session_id": 20433, "sequence_id": 74, "annotations": []}
{"role": "volunteer", "content": "Will that be everything today?", "session_id": 20433, "sequence_id": 75, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 20433, "sequence_id": 76, "annotations": []}
{"role": "student", "content": "Thank you so much", "session_id": 20433, "sequence_id": 77, "annotations": []}
{"role": "student", "content": "You really helped me a lot", "session_id": 20433, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "No problem, have a good day!", "session_id": 20433, "sequence_id": 79, "annotations": []}
{"role": "student", "content": "You too", "session_id": 20433, "sequence_id": 80, "annotations": []}
{"role": "student", "content": "Hello", "session_id": 20847, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "Hello, how is it going?", "session_id": 20847, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "What can I help you with today?", "session_id": 20847, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "I need help with the problems on the board", "session_id": 20847, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "Okay.", "session_id": 20847, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "Which part are you confused on?", "session_id": 20847, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "How to find the correct answer..?", "session_id": 20847, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "First, tell me what a domain is.", "session_id": 20847, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "Al the x values", "session_id": 20847, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "*All", "session_id": 20847, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "..hello?", "session_id": 20847, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "Hi, sorry.", "session_id": 20847, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "Yes, that is correct.", "session_id": 20847, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "Now, for the first question, what are all the x-values possible?", "session_id": 20847, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "I\u2019m not sure", "session_id": 20847, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "Where does the graph start and end (on the x-axis)?", "session_id": 20847, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "Which number?", "session_id": 20847, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "The greatest is 6 and the lowest is -5", "session_id": 20847, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "In x value", "session_id": 20847, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "Correct.", "session_id": 20847, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "*s", "session_id": 20847, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "So, technically the range is from -5 to 6. But, we need to account for any open circles within the range.", "session_id": 20847, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "Are there any?", "session_id": 20847, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "We can also eliminate choices a and b, since those are the not the correct numbers.", "session_id": 20847, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "Ok", "session_id": 20847, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "There\u2019s two open circles", "session_id": 20847, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "We won't consider open circles that start the function. Only those that are within the function.", "session_id": 20847, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "In this case, there is only one.", "session_id": 20847, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "Which number is it at?", "session_id": 20847, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "-4,2", "session_id": 20847, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "Or just -4, we only need the x-value.", "session_id": 20847, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "Now, we can determine what the domain is.", "session_id": 20847, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "An open circle means paranthesis, while a closed circle means brackets.", "session_id": 20847, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "Can you determine the domain now?", "session_id": 20847, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "What doe the -4 do", "session_id": 20847, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "*s", "session_id": 20847, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "*es", "session_id": 20847, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "It's a hole in the graph, meaning it doesn't exist as part of the domain.", "session_id": 20847, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "So does it affect the notation..?", "session_id": 20847, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "It still does affect the notation, yes.", "session_id": 20847, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "Look at answer choices c and d", "session_id": 20847, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "They end with -4 (for the first part) and start with four (for the second part).", "session_id": 20847, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "This indicates that -4 is restricted from the domain, but is still included in the notation.", "session_id": 20847, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "What do you mean that it starts and ends with four?", "session_id": 20847, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "(-5, -4) U (-4, 6]", "session_id": 20847, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "(-5, -4) - this ends with -4.", "session_id": 20847, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "(-4, 6] - this starts with -4.", "session_id": 20847, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "Oh", "session_id": 20847, "sequence_id": 47, "annotations": []}
{"role": "student", "content": "Okay", "session_id": 20847, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "Yes.", "session_id": 20847, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "So, can you now determine which is the answer choice?", "session_id": 20847, "sequence_id": 50, "annotations": []}
{"role": "student", "content": "Is it c", "session_id": 20847, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "Yes, it is.", "session_id": 20847, "sequence_id": 52, "annotations": []}
{"role": "student", "content": "okay", "session_id": 20847, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "Next question?", "session_id": 20847, "sequence_id": 54, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 20847, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "Okay.", "session_id": 20847, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "Do you want to try this one on your own first?", "session_id": 20847, "sequence_id": 57, "annotations": []}
{"role": "student", "content": "Okay", "session_id": 20847, "sequence_id": 58, "annotations": []}
{"role": "student", "content": "is it a?", "session_id": 20847, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "Yes.", "session_id": 20847, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "Nice job.", "session_id": 20847, "sequence_id": 61, "annotations": []}
{"role": "student", "content": "yay", "session_id": 20847, "sequence_id": 62, "annotations": []}
{"role": "student", "content": "How do you solve the last one?", "session_id": 20847, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "First, for the domain, identify the smallest and largest x-value.", "session_id": 20847, "sequence_id": 64, "annotations": []}
{"role": "student", "content": "Uhm", "session_id": 20847, "sequence_id": 65, "annotations": []}
{"role": "student", "content": "Negative Infinity and positive infinity..??", "session_id": 20847, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "Yes?", "session_id": 20847, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "Yes.", "session_id": 20847, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "But, we have a hole in our graph.", "session_id": 20847, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "Or a break.", "session_id": 20847, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "Which number does this occur at?", "session_id": 20847, "sequence_id": 71, "annotations": []}
{"role": "student", "content": "3,3", "session_id": 20847, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "Correct.", "session_id": 20847, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "So, what would our domain be?", "session_id": 20847, "sequence_id": 74, "annotations": []}
{"role": "student", "content": "still not sure", "session_id": 20847, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "(negative inf, 3) U (3, inf).", "session_id": 20847, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "This is what I think it is.", "session_id": 20847, "sequence_id": 77, "annotations": []}
{"role": "student", "content": "oh", "session_id": 20847, "sequence_id": 78, "annotations": []}
{"role": "student", "content": "ohh.", "session_id": 20847, "sequence_id": 79, "annotations": []}
{"role": "student", "content": "Wait does that represent just the domain", "session_id": 20847, "sequence_id": 80, "annotations": []}
{"role": "volunteer", "content": "Yes, not the range. Just the domain.", "session_id": 20847, "sequence_id": 81, "annotations": []}
{"role": "volunteer", "content": "Hi, are you there?", "session_id": 20847, "sequence_id": 82, "annotations": []}
{"role": "student", "content": "Hey Mr. Lee", "session_id": 21097, "sequence_id": 0, "annotations": [{"pii_type": "PERSON", "surrogate": "Mr. Lee", "start": 4, "end": 11}]}
{"role": "volunteer", "content": "Hello", "session_id": 21097, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "Before we start", "session_id": 21097, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "can you talk with your mic?", "session_id": 21097, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "is it fine?", "session_id": 21097, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "I prefer typing.", "session_id": 21097, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "ok is it fine if i use my mic", "session_id": 21097, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 21097, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "All right. So, I wanted to give you a um", "session_id": 21097, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "Question.", "session_id": 21097, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "And ask you, can you like give me a question on a topic, so like I can understand it better. The topic is like", "session_id": 21097, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "Um", "session_id": 21097, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "Converting", "session_id": 21097, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "This 2 decimals.", "session_id": 21097, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "It's converting fractions to decimals.", "session_id": 21097, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 21097, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "I want to ask you, yeah, if you can give me um a um", "session_id": 21097, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "Question on it so I can understand my topic.", "session_id": 21097, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 21097, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "I put one on the board", "session_id": 21097, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "OK, so, uh, this will be 75% because 3 out of 44 would be a quarter. A quarter is 25.", "session_id": 21097, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "So 3 years, 75 out of 44 will will equal. 4 out of 4 be.", "session_id": 21097, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "So, yeah.", "session_id": 21097, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "What would it be as a decimal?", "session_id": 21097, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "As a decimal, it would be um", "session_id": 21097, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "0.75.", "session_id": 21097, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "OK, Mr. Lee, uh, these type of questions are good.", "session_id": 21097, "sequence_id": 26, "annotations": [{"pii_type": "PERSON", "surrogate": "Mr. Lee", "start": 4, "end": 11}]}
{"role": "volunteer", "content": "yes, that's right", "session_id": 21097, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "Like these are", "session_id": 21097, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "Yeah. So these questions are good. Now, can you give me like harder?", "session_id": 21097, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "uh, questions like that?", "session_id": 21097, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "If you can.", "session_id": 21097, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "So. OK, um,", "session_id": 21097, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "So, what we want to do first is because I", "session_id": 21097, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "What you want to do first is to", "session_id": 21097, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "6", "session_id": 21097, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "multiplied by like 7 like that. You wanna.", "session_id": 21097, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "to put", "session_id": 21097, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "About 40s.", "session_id": 21097, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "And then what we want to see is", "session_id": 21097, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "How many times 7 goals and 26, 6, it cannot go. So it can go to 60, so that would be", "session_id": 21097, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "About 5 times, 7 times 5 is, it's 35.", "session_id": 21097, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "I.", "session_id": 21097, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "So that I can", "session_id": 21097, "sequence_id": 43, "annotations": []}
{"role": "student", "content": "Ah, so 35. Well, we can go more.", "session_id": 21097, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "7 times 9 maybe. I think Yeah, that won't work, so maybe 8.", "session_id": 21097, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "Um yeah, that would be a 56, so I think that's our best bet. So 8:56.", "session_id": 21097, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "Minus that.", "session_id": 21097, "sequence_id": 47, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 21097, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "Borrow, I mean, no, that's going to be a 5, my bad. That's a 10, that's a 4 now, 50 or 40, uh, to get this, you would, uh, do 5 this time.", "session_id": 21097, "sequence_id": 49, "annotations": []}
{"role": "student", "content": "So this would be a 5 right here. Can't forget the 0 over there 7 times 5 is 35.", "session_id": 21097, "sequence_id": 50, "annotations": []}
{"role": "student", "content": "You minus that.", "session_id": 21097, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "Take this 3. This will be 1, that's a 5. That's a 0. Now we just bring down that 50 now uh 50 would be mm not a 5.", "session_id": 21097, "sequence_id": 52, "annotations": []}
{"role": "student", "content": "Here's the thing that's probably here for engineers.", "session_id": 21097, "sequence_id": 53, "annotations": []}
{"role": "student", "content": "Maybe 4867 times 7.", "session_id": 21097, "sequence_id": 54, "annotations": []}
{"role": "student", "content": "7.", "session_id": 21097, "sequence_id": 55, "annotations": []}
{"role": "student", "content": "What happens is if there is a difference between them Mr. Lee, you hear?", "session_id": 21097, "sequence_id": 56, "annotations": [{"pii_type": "PERSON", "surrogate": "Mr. Lee", "start": 54, "end": 61}]}
{"role": "student", "content": "I'm", "session_id": 21097, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "so far so good", "session_id": 21097, "sequence_id": 58, "annotations": []}
{"role": "student", "content": "Alright, uh, that would be", "session_id": 21097, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "whoops", "session_id": 21097, "sequence_id": 60, "annotations": []}
{"role": "student", "content": "Thanks, man. Oh, that'll be 49. My bad. Yeah, I realized that after.", "session_id": 21097, "sequence_id": 61, "annotations": []}
{"role": "student", "content": "because essentially, so.", "session_id": 21097, "sequence_id": 62, "annotations": []}
{"role": "student", "content": "Right.", "session_id": 21097, "sequence_id": 63, "annotations": []}
{"role": "student", "content": "We're introducing the 49, uh, what you, my bad, if you hear some voices behind. That's my brother, OK, so.", "session_id": 21097, "sequence_id": 64, "annotations": []}
{"role": "student", "content": "Minus that and then you get 4, take that, that would be a 4, give that one. That's a one, it's 0 again. Take down another 10.", "session_id": 21097, "sequence_id": 65, "annotations": []}
{"role": "student", "content": "Right. Another 10.", "session_id": 21097, "sequence_id": 66, "annotations": []}
{"role": "student", "content": "Um", "session_id": 21097, "sequence_id": 67, "annotations": []}
{"role": "student", "content": "Now we're going to see sometime, how many times 7 goes into that, that would be sometimes 10, no, 7 to 70, 7 times 8, no.", "session_id": 21097, "sequence_id": 68, "annotations": []}
{"role": "student", "content": "We can go, no, 7 times 1177.", "session_id": 21097, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "only bring down one zero", "session_id": 21097, "sequence_id": 70, "annotations": []}
{"role": "student", "content": "Sometimes 2.", "session_id": 21097, "sequence_id": 71, "annotations": []}
{"role": "student", "content": "I think 7 times.", "session_id": 21097, "sequence_id": 72, "annotations": []}
{"role": "student", "content": "Um.", "session_id": 21097, "sequence_id": 73, "annotations": []}
{"role": "student", "content": "100, well, we could do sometimes 1498.", "session_id": 21097, "sequence_id": 74, "annotations": []}
{"role": "student", "content": "Only bring down 10.", "session_id": 21097, "sequence_id": 75, "annotations": []}
{"role": "student", "content": "Uh, what do you mean by that?", "session_id": 21097, "sequence_id": 76, "annotations": []}
{"role": "student", "content": "Um", "session_id": 21097, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "so it would be how times does 7 go into 10?", "session_id": 21097, "sequence_id": 78, "annotations": []}
{"role": "student", "content": "So it'd be uh", "session_id": 21097, "sequence_id": 79, "annotations": []}
{"role": "student", "content": "To the 7 going 10.", "session_id": 21097, "sequence_id": 80, "annotations": []}
{"role": "student", "content": "Oh,", "session_id": 21097, "sequence_id": 81, "annotations": []}
{"role": "student", "content": "Oh yeah.", "session_id": 21097, "sequence_id": 82, "annotations": []}
{"role": "student", "content": "My mind turned off. My brain just shut down. OK, let me do that again.", "session_id": 21097, "sequence_id": 83, "annotations": []}
{"role": "student", "content": "OK. So, yes, you're right. I forgot about that.", "session_id": 21097, "sequence_id": 84, "annotations": []}
{"role": "student", "content": "These little mistakes.", "session_id": 21097, "sequence_id": 85, "annotations": []}
{"role": "student", "content": "OK, so, some someone would go into that one time, 7. That's 17, take that.", "session_id": 21097, "sequence_id": 86, "annotations": []}
{"role": "student", "content": "That's um", "session_id": 21097, "sequence_id": 87, "annotations": []}
{"role": "student", "content": "3.", "session_id": 21097, "sequence_id": 88, "annotations": []}
{"role": "student", "content": "Bye-bye.", "session_id": 21097, "sequence_id": 89, "annotations": []}
{"role": "student", "content": "3. So 30.", "session_id": 21097, "sequence_id": 90, "annotations": []}
{"role": "student", "content": "This is a long process, but we're getting there. Uh 7 goes into 30 about not 5 times, 4 times, 28, 4, we would put this right here.", "session_id": 21097, "sequence_id": 91, "annotations": []}
{"role": "student", "content": "Or", "session_id": 21097, "sequence_id": 92, "annotations": []}
{"role": "student", "content": "Sometimes 428.", "session_id": 21097, "sequence_id": 93, "annotations": []}
{"role": "student", "content": "What we have is leftover is.", "session_id": 21097, "sequence_id": 94, "annotations": []}
{"role": "student", "content": "2", "session_id": 21097, "sequence_id": 95, "annotations": []}
{"role": "student", "content": "No, no 0.", "session_id": 21097, "sequence_id": 96, "annotations": []}
{"role": "student", "content": "Take it, uh, 7 can go into 20.", "session_id": 21097, "sequence_id": 97, "annotations": []}
{"role": "student", "content": "Not 2 times.", "session_id": 21097, "sequence_id": 98, "annotations": []}
{"role": "student", "content": "A she? Yeah, 2 times because sometimes 2 is 14, sometimes 3 would be a little bit over.", "session_id": 21097, "sequence_id": 99, "annotations": []}
{"role": "student", "content": "So what we would do would be", "session_id": 21097, "sequence_id": 100, "annotations": []}
{"role": "student", "content": "7 will go into 20.", "session_id": 21097, "sequence_id": 101, "annotations": []}
{"role": "student", "content": "2 times.", "session_id": 21097, "sequence_id": 102, "annotations": []}
{"role": "student", "content": "So 27.", "session_id": 21097, "sequence_id": 103, "annotations": []}
{"role": "student", "content": "That's a 14.", "session_id": 21097, "sequence_id": 104, "annotations": []}
{"role": "student", "content": "Oh man, it's a lot of work.", "session_id": 21097, "sequence_id": 105, "annotations": []}
{"role": "student", "content": "OK, so one.", "session_id": 21097, "sequence_id": 106, "annotations": []}
{"role": "student", "content": "Well that's", "session_id": 21097, "sequence_id": 107, "annotations": []}
{"role": "student", "content": "That's 6.", "session_id": 21097, "sequence_id": 108, "annotations": []}
{"role": "student", "content": "You're getting there.", "session_id": 21097, "sequence_id": 109, "annotations": []}
{"role": "student", "content": "That's going to be a 60 now.", "session_id": 21097, "sequence_id": 110, "annotations": []}
{"role": "student", "content": "So 7 goes into 60.", "session_id": 21097, "sequence_id": 111, "annotations": []}
{"role": "student", "content": "We did this before, how much did it go in?", "session_id": 21097, "sequence_id": 112, "annotations": []}
{"role": "student", "content": "I think he was.", "session_id": 21097, "sequence_id": 113, "annotations": []}
{"role": "student", "content": "Nafo.", "session_id": 21097, "sequence_id": 114, "annotations": []}
{"role": "student", "content": "That's sometimes.", "session_id": 21097, "sequence_id": 115, "annotations": []}
{"role": "student", "content": "Uh", "session_id": 21097, "sequence_id": 116, "annotations": []}
{"role": "student", "content": "Sometimes 8.", "session_id": 21097, "sequence_id": 117, "annotations": []}
{"role": "student", "content": "Right? So", "session_id": 21097, "sequence_id": 118, "annotations": []}
{"role": "student", "content": "8", "session_id": 21097, "sequence_id": 119, "annotations": []}
{"role": "student", "content": "would go into", "session_id": 21097, "sequence_id": 120, "annotations": []}
{"role": "student", "content": "That", "session_id": 21097, "sequence_id": 121, "annotations": []}
{"role": "student", "content": "It's the closest number, 7 times 8.", "session_id": 21097, "sequence_id": 122, "annotations": []}
{"role": "student", "content": "Now would be a 50.", "session_id": 21097, "sequence_id": 123, "annotations": []}
{"role": "student", "content": "6.", "session_id": 21097, "sequence_id": 124, "annotations": []}
{"role": "student", "content": "OK, so I understand.", "session_id": 21097, "sequence_id": 125, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 21097, "sequence_id": 126, "annotations": []}
{"role": "student", "content": "Mr. Lee, you wanna say anything?", "session_id": 21097, "sequence_id": 127, "annotations": [{"pii_type": "PERSON", "surrogate": "Mr. Lee", "start": 0, "end": 7}]}
{"role": "volunteer", "content": "so you are back to 60, which is where you started,", "session_id": 21097, "sequence_id": 128, "annotations": []}
{"role": "volunteer", "content": "so now it's going to repeat", "session_id": 21097, "sequence_id": 129, "annotations": []}
{"role": "student", "content": "Yeah, you're right. Actually, I didn't see that nice eagle eye. um.", "session_id": 21097, "sequence_id": 130, "annotations": []}
{"role": "student", "content": "Yeah, you're right, so we're, we would stop would just be um", "session_id": 21097, "sequence_id": 131, "annotations": []}
{"role": "student", "content": "The two", "session_id": 21097, "sequence_id": 132, "annotations": []}
{"role": "student", "content": "So we can just", "session_id": 21097, "sequence_id": 133, "annotations": []}
{"role": "student", "content": "Take this one out.", "session_id": 21097, "sequence_id": 134, "annotations": []}
{"role": "student", "content": "The 8, and I think that would be it. So, Mr. Lee, what do you think? Am I right?", "session_id": 21097, "sequence_id": 135, "annotations": [{"pii_type": "PERSON", "surrogate": "Mr. Lee", "start": 41, "end": 48}]}
{"role": "student", "content": "Or close.", "session_id": 21097, "sequence_id": 136, "annotations": []}
{"role": "volunteer", "content": "Yes that's right", "session_id": 21097, "sequence_id": 137, "annotations": []}
{"role": "student", "content": "Let's go.", "session_id": 21097, "sequence_id": 138, "annotations": []}
{"role": "student", "content": "I feel good now.", "session_id": 21097, "sequence_id": 139, "annotations": []}
{"role": "student", "content": "Alright, Mr. Lee, um.", "session_id": 21097, "sequence_id": 140, "annotations": [{"pii_type": "PERSON", "surrogate": "Mr. Lee", "start": 9, "end": 16}]}
{"role": "volunteer", "content": "The number will keep on repeating", "session_id": 21097, "sequence_id": 141, "annotations": []}
{"role": "student", "content": "If you can stay with me for a moment. Uh, I have another topic.", "session_id": 21097, "sequence_id": 142, "annotations": []}
{"role": "student", "content": "Yeah, yeah, you're right, I can see that one now.", "session_id": 21097, "sequence_id": 143, "annotations": []}
{"role": "student", "content": "OK, so what I, my next topic is, um, this is all for the uh SHSAT. This is why I need to know it.", "session_id": 21097, "sequence_id": 144, "annotations": []}
{"role": "student", "content": "Um, next one will be converting decimals to fractions.", "session_id": 21097, "sequence_id": 145, "annotations": []}
{"role": "student", "content": "Which we kind of did actually, if I'm not going to lie, we actually did that.", "session_id": 21097, "sequence_id": 146, "annotations": []}
{"role": "student", "content": "So", "session_id": 21097, "sequence_id": 147, "annotations": []}
{"role": "student", "content": "Uh, let's see the next one.", "session_id": 21097, "sequence_id": 148, "annotations": []}
{"role": "student", "content": "Fraction 2", "session_id": 21097, "sequence_id": 149, "annotations": []}
{"role": "student", "content": "that.", "session_id": 21097, "sequence_id": 150, "annotations": []}
{"role": "student", "content": "Um, give me one sec, Mr. Lee.", "session_id": 21097, "sequence_id": 151, "annotations": [{"pii_type": "PERSON", "surrogate": "Mr. Lee", "start": 21, "end": 28}]}
{"role": "student", "content": "Um", "session_id": 21097, "sequence_id": 152, "annotations": []}
{"role": "student", "content": "My next one was converting.", "session_id": 21097, "sequence_id": 153, "annotations": []}
{"role": "student", "content": "to fractions and decimals. I want to ask you, is that the same as we did?", "session_id": 21097, "sequence_id": 154, "annotations": []}
{"role": "student", "content": "Mr. Lee", "session_id": 21097, "sequence_id": 155, "annotations": [{"pii_type": "PERSON", "surrogate": "Mr. Lee", "start": 0, "end": 7}]}
{"role": "student", "content": "papers.", "session_id": 21097, "sequence_id": 156, "annotations": []}
{"role": "volunteer", "content": "What is your question?", "session_id": 21097, "sequence_id": 157, "annotations": []}
{"role": "student", "content": "Well, my question was, um,", "session_id": 21097, "sequence_id": 158, "annotations": []}
{"role": "student", "content": "Uh, is", "session_id": 21097, "sequence_id": 159, "annotations": []}
{"role": "student", "content": "Converting uh.", "session_id": 21097, "sequence_id": 160, "annotations": []}
{"role": "student", "content": "Converting percents to fractions and decimal the same as what we did my first topic, like the same as my first topic, which was uh converting.", "session_id": 21097, "sequence_id": 161, "annotations": []}
{"role": "student", "content": "Converting fractions to the small is this the similar or the same topic?", "session_id": 21097, "sequence_id": 162, "annotations": []}
{"role": "student", "content": "Did we cover it in the first topic?", "session_id": 21097, "sequence_id": 163, "annotations": []}
{"role": "volunteer", "content": "is the topic converting decimals to fractions?", "session_id": 21097, "sequence_id": 164, "annotations": []}
{"role": "student", "content": "I don't, um,", "session_id": 21097, "sequence_id": 165, "annotations": []}
{"role": "student", "content": "No, Mr. Lee, uh, it's fine. Let's just do a different topic. Um, my next topic was", "session_id": 21097, "sequence_id": 166, "annotations": [{"pii_type": "PERSON", "surrogate": "Mr. Lee", "start": 4, "end": 11}]}
{"role": "student", "content": "Give me one sec. Let me, let me take it out real quick.", "session_id": 21097, "sequence_id": 167, "annotations": []}
{"role": "student", "content": "All right, Mr. Lee, next one is uh ratios and proportions, as HSCT math, um, what we need to do is learning the concepts. It will take about 15 to 25 minutes if that's fine with you.", "session_id": 21097, "sequence_id": 168, "annotations": [{"pii_type": "PERSON", "surrogate": "Mr. Lee", "start": 11, "end": 18}]}
{"role": "student", "content": "I want to know if that's actually fine with you.", "session_id": 21097, "sequence_id": 169, "annotations": []}
{"role": "student", "content": "It's not so good, I understand.", "session_id": 21097, "sequence_id": 170, "annotations": []}
{"role": "volunteer", "content": "Do you have a problem to go over?", "session_id": 21097, "sequence_id": 171, "annotations": []}
{"role": "student", "content": "Well, um, yeah, so, let me actually give you the, the question.", "session_id": 21097, "sequence_id": 172, "annotations": []}
{"role": "student", "content": "Give me 1 2nd, Mr. Lee.", "session_id": 21097, "sequence_id": 173, "annotations": [{"pii_type": "PERSON", "surrogate": "Mr. Lee", "start": 15, "end": 22}]}
{"role": "student", "content": "Hi, Mr. Lee, I'm going to write it over here, here.", "session_id": 21097, "sequence_id": 174, "annotations": [{"pii_type": "PERSON", "surrogate": "Mr. Lee", "start": 4, "end": 11}]}
{"role": "student", "content": "Yes sir", "session_id": 21097, "sequence_id": 175, "annotations": []}
{"role": "student", "content": "That question one, Mr. Lee, uh, question 2.", "session_id": 21097, "sequence_id": 176, "annotations": [{"pii_type": "PERSON", "surrogate": "Mr. Lee", "start": 19, "end": 26}]}
{"role": "student", "content": "Yeah", "session_id": 21097, "sequence_id": 177, "annotations": []}
{"role": "student", "content": "I", "session_id": 21097, "sequence_id": 178, "annotations": []}
{"role": "student", "content": "Is right here, uh, so,", "session_id": 21097, "sequence_id": 179, "annotations": []}
{"role": "student", "content": "topic, the topic is.", "session_id": 21097, "sequence_id": 180, "annotations": []}
{"role": "student", "content": "ratios and proportions, as I said.", "session_id": 21097, "sequence_id": 181, "annotations": []}
{"role": "student", "content": "So, yeah, if you can help me out with these two questions, I would be really grateful.", "session_id": 21097, "sequence_id": 182, "annotations": []}
{"role": "volunteer", "content": "do you want to go ahead and give that a try?", "session_id": 21097, "sequence_id": 183, "annotations": []}
{"role": "student", "content": "Yeah, Mr. Lee.", "session_id": 21097, "sequence_id": 184, "annotations": [{"pii_type": "PERSON", "surrogate": "Mr. Lee", "start": 6, "end": 13}]}
{"role": "student", "content": "I'm sorry if there's a sound in the back, but yeah, I'll go give it a try.", "session_id": 21097, "sequence_id": 185, "annotations": []}
{"role": "student", "content": "Don't a lot, um, I'm not sure.", "session_id": 21097, "sequence_id": 186, "annotations": []}
{"role": "student", "content": "I'm having difficulty solving it. I'm not sure how to do it.", "session_id": 21097, "sequence_id": 187, "annotations": []}
{"role": "student", "content": "Um, we can also do like", "session_id": 21097, "sequence_id": 188, "annotations": []}
{"role": "student", "content": "You can have like a breakdown of it like.", "session_id": 21097, "sequence_id": 189, "annotations": []}
{"role": "student", "content": "I'll tell you what I know first, which", "session_id": 21097, "sequence_id": 190, "annotations": []}
{"role": "volunteer", "content": "I think the problem is not written quite correctly", "session_id": 21097, "sequence_id": 191, "annotations": []}
{"role": "student", "content": "I will tell you that and then like you can.", "session_id": 21097, "sequence_id": 192, "annotations": []}
{"role": "student", "content": "You think the problem is not OK, give me one sec. Let me.", "session_id": 21097, "sequence_id": 193, "annotations": []}
{"role": "student", "content": "I mean, I got it from Cha GBT, so.", "session_id": 21097, "sequence_id": 194, "annotations": []}
{"role": "student", "content": "Let me see what happened. Let me ask her to, to give me a better one.", "session_id": 21097, "sequence_id": 195, "annotations": []}
{"role": "volunteer", "content": "i think it should be \" a bag contains blue and red marbles in a ratio of 3:5\"", "session_id": 21097, "sequence_id": 196, "annotations": []}
{"role": "student", "content": "All right, Mr. Lee, uh, this is what she gave me back. Let me write it on it.", "session_id": 21097, "sequence_id": 197, "annotations": [{"pii_type": "PERSON", "surrogate": "Mr. Lee", "start": 11, "end": 18}]}
{"role": "volunteer", "content": "Who is \"she\"?", "session_id": 21097, "sequence_id": 198, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 21097, "sequence_id": 199, "annotations": []}
{"role": "student", "content": "Uh, um.", "session_id": 21097, "sequence_id": 200, "annotations": []}
{"role": "volunteer", "content": "who is that?", "session_id": 21097, "sequence_id": 201, "annotations": []}
{"role": "student", "content": "How to say.", "session_id": 21097, "sequence_id": 202, "annotations": []}
{"role": "student", "content": "You", "session_id": 21097, "sequence_id": 203, "annotations": []}
{"role": "volunteer", "content": "your teacher?", "session_id": 21097, "sequence_id": 204, "annotations": []}
{"role": "student", "content": "Oh, it's, no, it's um", "session_id": 21097, "sequence_id": 205, "annotations": []}
{"role": "student", "content": "Yeah you wanna It's a, it's a um AI.", "session_id": 21097, "sequence_id": 206, "annotations": []}
{"role": "student", "content": "Yeah, um.", "session_id": 21097, "sequence_id": 207, "annotations": []}
{"role": "student", "content": "All in a way, yeah, it is my teacher, yeah, in a way.", "session_id": 21097, "sequence_id": 208, "annotations": []}
{"role": "student", "content": "Hey.", "session_id": 21097, "sequence_id": 209, "annotations": []}
{"role": "volunteer", "content": "You have AI as a teacher?", "session_id": 21097, "sequence_id": 210, "annotations": []}
{"role": "student", "content": "Mr. Lee, it's always like helpful, you know, if I have a question.", "session_id": 21097, "sequence_id": 211, "annotations": [{"pii_type": "PERSON", "surrogate": "Mr. Lee", "start": 0, "end": 7}]}
{"role": "student", "content": "That maybe someone else cannot answer.", "session_id": 21097, "sequence_id": 212, "annotations": []}
{"role": "student", "content": "It's just something that you go.", "session_id": 21097, "sequence_id": 213, "annotations": []}
{"role": "student", "content": "Or, you know,", "session_id": 21097, "sequence_id": 214, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 21097, "sequence_id": 215, "annotations": []}
{"role": "student", "content": "Organize AI as a teacher, yes, I did say in a way, but it's", "session_id": 21097, "sequence_id": 216, "annotations": []}
{"role": "student", "content": "It's, it helps you with everything.", "session_id": 21097, "sequence_id": 217, "annotations": []}
{"role": "student", "content": "properly", "session_id": 21097, "sequence_id": 218, "annotations": []}
{"role": "student", "content": "Hi, uh, give me one sec, uh, I'm going to solve it.", "session_id": 21097, "sequence_id": 219, "annotations": []}
{"role": "volunteer", "content": "It should be 24 blue marbles in the bag", "session_id": 21097, "sequence_id": 220, "annotations": []}
{"role": "student", "content": "Nice catch.", "session_id": 21097, "sequence_id": 221, "annotations": []}
{"role": "student", "content": "Yeah, um,", "session_id": 21097, "sequence_id": 222, "annotations": []}
{"role": "student", "content": "I understood that later.", "session_id": 21097, "sequence_id": 223, "annotations": []}
{"role": "volunteer", "content": "so blue/red  =3/5, right?", "session_id": 21097, "sequence_id": 224, "annotations": []}
{"role": "student", "content": "Yeah.", "session_id": 21097, "sequence_id": 225, "annotations": []}
{"role": "student", "content": "And then to solve that, you would do a butterfly method. That's what I would do to do that, you just need to do a 3.", "session_id": 21097, "sequence_id": 226, "annotations": []}
{"role": "student", "content": "For 6", "session_id": 21097, "sequence_id": 227, "annotations": []}
{"role": "student", "content": "And do this.", "session_id": 21097, "sequence_id": 228, "annotations": []}
{"role": "student", "content": "36", "session_id": 21097, "sequence_id": 229, "annotations": []}
{"role": "student", "content": "I mean 3 eggs don't know why I'm saying 6, but.", "session_id": 21097, "sequence_id": 230, "annotations": []}
{"role": "volunteer", "content": "yes, cross multiply", "session_id": 21097, "sequence_id": 231, "annotations": []}
{"role": "student", "content": "3 X.", "session_id": 21097, "sequence_id": 232, "annotations": []}
{"role": "student", "content": "Yes, cross multiply, um, yeah, so do that. Give me one sec. Let me just solve that.", "session_id": 21097, "sequence_id": 233, "annotations": []}
{"role": "student", "content": "Right.", "session_id": 21097, "sequence_id": 234, "annotations": []}
{"role": "student", "content": "Yeah, um,", "session_id": 21097, "sequence_id": 235, "annotations": []}
{"role": "student", "content": "On", "session_id": 21097, "sequence_id": 236, "annotations": []}
{"role": "student", "content": "3 eggs.", "session_id": 21097, "sequence_id": 237, "annotations": []}
{"role": "student", "content": "Cross out the.", "session_id": 21097, "sequence_id": 238, "annotations": []}
{"role": "student", "content": "3, 120.", "session_id": 21097, "sequence_id": 239, "annotations": []}
{"role": "student", "content": "About about 3.", "session_id": 21097, "sequence_id": 240, "annotations": []}
{"role": "student", "content": "Would be a 4, 12 minus that would be a 0, that would be a 0, but what we have to do is put a 40, always remember because", "session_id": 21097, "sequence_id": 241, "annotations": []}
{"role": "student", "content": "The 20s, you know, they have to, because 3 times 4 will be a 12 without this 0.", "session_id": 21097, "sequence_id": 242, "annotations": []}
{"role": "volunteer", "content": "That's rigth", "session_id": 21097, "sequence_id": 243, "annotations": []}
{"role": "student", "content": "This one right here, but we can't do that. That's something that", "session_id": 21097, "sequence_id": 244, "annotations": []}
{"role": "student", "content": "You are, yeah, yeah, you have to add the 0, so now we can make sense that 3 times 40 equals, not 3 times 4, which is 12. So, uh, 40.", "session_id": 21097, "sequence_id": 245, "annotations": []}
{"role": "student", "content": "Yeah.", "session_id": 21097, "sequence_id": 246, "annotations": []}
{"role": "student", "content": "A 40, 40 red marbles.", "session_id": 21097, "sequence_id": 247, "annotations": []}
{"role": "volunteer", "content": "24/40 =3/5", "session_id": 21097, "sequence_id": 248, "annotations": []}
{"role": "student", "content": "24 divided by 40.", "session_id": 21097, "sequence_id": 249, "annotations": []}
{"role": "student", "content": "Um,", "session_id": 21097, "sequence_id": 250, "annotations": []}
{"role": "student", "content": "I didn't understand that part.", "session_id": 21097, "sequence_id": 251, "annotations": []}
{"role": "volunteer", "content": "they are the same ratio", "session_id": 21097, "sequence_id": 252, "annotations": []}
{"role": "student", "content": "Why we are dividing 24 by 40. Is that what we, is that what we get as our final what we got 35. Is that what you're trying to say?", "session_id": 21097, "sequence_id": 253, "annotations": []}
{"role": "student", "content": "Oh, OK.", "session_id": 21097, "sequence_id": 254, "annotations": []}
{"role": "student", "content": "Yeah. That, that's just when they're", "session_id": 21097, "sequence_id": 255, "annotations": []}
{"role": "student", "content": "You know", "session_id": 21097, "sequence_id": 256, "annotations": []}
{"role": "student", "content": "More simplified, that's just not more, not, not a simplified form.", "session_id": 21097, "sequence_id": 257, "annotations": []}
{"role": "student", "content": "But yeah, I see what you're.", "session_id": 21097, "sequence_id": 258, "annotations": []}
{"role": "student", "content": "I think so.", "session_id": 21097, "sequence_id": 259, "annotations": []}
{"role": "student", "content": "So", "session_id": 21097, "sequence_id": 260, "annotations": []}
{"role": "student", "content": "24 out of 40, same thing as 3/5.", "session_id": 21097, "sequence_id": 261, "annotations": []}
{"role": "student", "content": "Just not simplified.", "session_id": 21097, "sequence_id": 262, "annotations": []}
{"role": "student", "content": "Am I right?", "session_id": 21097, "sequence_id": 263, "annotations": []}
{"role": "student", "content": "was", "session_id": 21097, "sequence_id": 264, "annotations": []}
{"role": "volunteer", "content": "I am just saying that 40 is the correct answer because 3/5 is the same fraction as 24/40", "session_id": 21097, "sequence_id": 265, "annotations": []}
{"role": "volunteer", "content": "they represent the same ratio", "session_id": 21097, "sequence_id": 266, "annotations": []}
{"role": "student", "content": "40", "session_id": 21097, "sequence_id": 267, "annotations": []}
{"role": "student", "content": "So", "session_id": 21097, "sequence_id": 268, "annotations": []}
{"role": "student", "content": "You don't have to do all the 24 divided by 40. It's just showing that it goes to the final, um,", "session_id": 21097, "sequence_id": 269, "annotations": []}
{"role": "student", "content": "part of action.", "session_id": 21097, "sequence_id": 270, "annotations": []}
{"role": "student", "content": "Because 2440.", "session_id": 21097, "sequence_id": 271, "annotations": []}
{"role": "student", "content": "Like I said, they", "session_id": 21097, "sequence_id": 272, "annotations": []}
{"role": "student", "content": "They are the same, but yeah, I get what you're saying.", "session_id": 21097, "sequence_id": 273, "annotations": []}
{"role": "student", "content": "That's 40.", "session_id": 21097, "sequence_id": 274, "annotations": []}
{"role": "student", "content": "Yeah.", "session_id": 21097, "sequence_id": 275, "annotations": []}
{"role": "student", "content": "So our final answer would be 40.", "session_id": 21097, "sequence_id": 276, "annotations": []}
{"role": "student", "content": "Right", "session_id": 21097, "sequence_id": 277, "annotations": []}
{"role": "volunteer", "content": "right", "session_id": 21097, "sequence_id": 278, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 21097, "sequence_id": 279, "annotations": []}
{"role": "student", "content": "Um, yeah, so.", "session_id": 21097, "sequence_id": 280, "annotations": []}
{"role": "student", "content": "You wanna do.", "session_id": 21097, "sequence_id": 281, "annotations": []}
{"role": "student", "content": "01 more.", "session_id": 21097, "sequence_id": 282, "annotations": []}
{"role": "volunteer", "content": "you can write a ratio like 3:5 or 35", "session_id": 21097, "sequence_id": 283, "annotations": []}
{"role": "volunteer", "content": "3/5", "session_id": 21097, "sequence_id": 284, "annotations": []}
{"role": "student", "content": "Yeah, because ratios are like fractions.", "session_id": 21097, "sequence_id": 285, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 21097, "sequence_id": 286, "annotations": []}
{"role": "student", "content": "Yeah, um.", "session_id": 21097, "sequence_id": 287, "annotations": []}
{"role": "student", "content": "OK, so,", "session_id": 21097, "sequence_id": 288, "annotations": []}
{"role": "student", "content": "You wanna do one more?", "session_id": 21097, "sequence_id": 289, "annotations": []}
{"role": "student", "content": "If that's fine with you.", "session_id": 21097, "sequence_id": 290, "annotations": []}
{"role": "student", "content": "On a different topic.", "session_id": 21097, "sequence_id": 291, "annotations": []}
{"role": "volunteer", "content": "ok, one more", "session_id": 21097, "sequence_id": 292, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 21097, "sequence_id": 293, "annotations": []}
{"role": "student", "content": "Thank you, Mr. Lee. Uh, let me take it out.", "session_id": 21097, "sequence_id": 294, "annotations": [{"pii_type": "PERSON", "surrogate": "Mr. Lee", "start": 11, "end": 18}]}
{"role": "student", "content": "All right, Mr. Lee, um, let me write it out.", "session_id": 21097, "sequence_id": 295, "annotations": [{"pii_type": "PERSON", "surrogate": "Mr. Lee", "start": 11, "end": 18}]}
{"role": "student", "content": "question.", "session_id": 21097, "sequence_id": 296, "annotations": []}
{"role": "student", "content": "Well,", "session_id": 21097, "sequence_id": 297, "annotations": []}
{"role": "student", "content": "All right, so,", "session_id": 21097, "sequence_id": 298, "annotations": []}
{"role": "student", "content": "Uh, let me try first, right? And then, uh,", "session_id": 21097, "sequence_id": 299, "annotations": []}
{"role": "student", "content": "You assist if I, and then you help me out later.", "session_id": 21097, "sequence_id": 300, "annotations": []}
{"role": "student", "content": "So let me try first.", "session_id": 21097, "sequence_id": 301, "annotations": []}
{"role": "volunteer", "content": "Sure", "session_id": 21097, "sequence_id": 302, "annotations": []}
{"role": "volunteer", "content": "Not sure what you are doing", "session_id": 21097, "sequence_id": 303, "annotations": []}
{"role": "student", "content": "Give me one second, I'll.", "session_id": 21097, "sequence_id": 304, "annotations": []}
{"role": "student", "content": "Let me just", "session_id": 21097, "sequence_id": 305, "annotations": []}
{"role": "student", "content": "Brainstorm.", "session_id": 21097, "sequence_id": 306, "annotations": []}
{"role": "student", "content": "Hi, Mr. Lee, uh, Mr. Lee, sorry. Uh, you can.", "session_id": 21097, "sequence_id": 307, "annotations": [{"pii_type": "PERSON", "surrogate": "Mr. Lee", "start": 4, "end": 11}, {"pii_type": "PERSON", "surrogate": "Mr. Lee", "start": 17, "end": 24}]}
{"role": "student", "content": "Come help me because I'm just, my way of doing it is just putting in numbers.", "session_id": 21097, "sequence_id": 308, "annotations": []}
{"role": "student", "content": "To see which one.", "session_id": 21097, "sequence_id": 309, "annotations": []}
{"role": "student", "content": "Uh, helps.", "session_id": 21097, "sequence_id": 310, "annotations": []}
{"role": "student", "content": "Which one solves X, which will take ages.", "session_id": 21097, "sequence_id": 311, "annotations": []}
{"role": "student", "content": "So", "session_id": 21097, "sequence_id": 312, "annotations": []}
{"role": "student", "content": "I would like to see the way you do it.", "session_id": 21097, "sequence_id": 313, "annotations": []}
{"role": "student", "content": "This way, next time I have this type of problem.", "session_id": 21097, "sequence_id": 314, "annotations": []}
{"role": "student", "content": "I can.", "session_id": 21097, "sequence_id": 315, "annotations": []}
{"role": "student", "content": "Do it with your help.", "session_id": 21097, "sequence_id": 316, "annotations": []}
{"role": "student", "content": "Meaning you're", "session_id": 21097, "sequence_id": 317, "annotations": []}
{"role": "student", "content": "Way", "session_id": 21097, "sequence_id": 318, "annotations": []}
{"role": "student", "content": "Go ahead.", "session_id": 21097, "sequence_id": 319, "annotations": []}
{"role": "volunteer", "content": "Yes, that might take a while, athough it is one way to do it", "session_id": 21097, "sequence_id": 320, "annotations": []}
{"role": "student", "content": "Um", "session_id": 21097, "sequence_id": 321, "annotations": []}
{"role": "student", "content": "I mean, it's fine with me.", "session_id": 21097, "sequence_id": 322, "annotations": []}
{"role": "volunteer", "content": "the strategy is get all the x terms on one side and all  the numbers on the other side", "session_id": 21097, "sequence_id": 323, "annotations": []}
{"role": "student", "content": "I was thinking that, so 7 X.", "session_id": 21097, "sequence_id": 324, "annotations": []}
{"role": "student", "content": "Plus 3 X.", "session_id": 21097, "sequence_id": 325, "annotations": []}
{"role": "student", "content": "If I'm right", "session_id": 21097, "sequence_id": 326, "annotations": []}
{"role": "student", "content": "Is that", "session_id": 21097, "sequence_id": 327, "annotations": []}
{"role": "student", "content": "Get the Exelon?", "session_id": 21097, "sequence_id": 328, "annotations": []}
{"role": "student", "content": "The exters", "session_id": 21097, "sequence_id": 329, "annotations": []}
{"role": "volunteer", "content": "one way to do that is to subtract 3x from both sides", "session_id": 21097, "sequence_id": 330, "annotations": []}
{"role": "student", "content": "Both sides, you mean like from like.", "session_id": 21097, "sequence_id": 331, "annotations": []}
{"role": "student", "content": "Like, decide.", "session_id": 21097, "sequence_id": 332, "annotations": []}
{"role": "student", "content": "I", "session_id": 21097, "sequence_id": 333, "annotations": []}
{"role": "student", "content": "Decide and like a side.", "session_id": 21097, "sequence_id": 334, "annotations": []}
{"role": "student", "content": "Hm, OK.", "session_id": 21097, "sequence_id": 335, "annotations": []}
{"role": "student", "content": "Uh, this would be", "session_id": 21097, "sequence_id": 336, "annotations": []}
{"role": "student", "content": "32X1 is uh 7 minus that would be 4 eggs.", "session_id": 21097, "sequence_id": 337, "annotations": []}
{"role": "student", "content": "Or eggs.", "session_id": 21097, "sequence_id": 338, "annotations": []}
{"role": "student", "content": "Or uh eggs.", "session_id": 21097, "sequence_id": 339, "annotations": []}
{"role": "student", "content": "That", "session_id": 21097, "sequence_id": 340, "annotations": []}
{"role": "student", "content": "And then 3 eggs.", "session_id": 21097, "sequence_id": 341, "annotations": []}
{"role": "student", "content": "3 x minus 3 x would be 0.", "session_id": 21097, "sequence_id": 342, "annotations": []}
{"role": "student", "content": "That's a 0. So this is just 4 eggs.", "session_id": 21097, "sequence_id": 343, "annotations": []}
{"role": "student", "content": "Right, Mr. Lee", "session_id": 21097, "sequence_id": 344, "annotations": [{"pii_type": "PERSON", "surrogate": "Mr. Lee", "start": 7, "end": 14}]}
{"role": "volunteer", "content": "yes, 4x", "session_id": 21097, "sequence_id": 345, "annotations": []}
{"role": "student", "content": "OK, so that would equal 28.", "session_id": 21097, "sequence_id": 346, "annotations": []}
{"role": "student", "content": "So", "session_id": 21097, "sequence_id": 347, "annotations": []}
{"role": "student", "content": "I don't understand. Uh, did we solve the eggs?", "session_id": 21097, "sequence_id": 348, "annotations": []}
{"role": "student", "content": "So does that mean X is 28?", "session_id": 21097, "sequence_id": 349, "annotations": []}
{"role": "volunteer", "content": "Now you subtract 4 from both sides", "session_id": 21097, "sequence_id": 350, "annotations": []}
{"role": "student", "content": "OK. Uh, so you would do.", "session_id": 21097, "sequence_id": 351, "annotations": []}
{"role": "student", "content": "Um, this?", "session_id": 21097, "sequence_id": 352, "annotations": []}
{"role": "student", "content": "That's", "session_id": 21097, "sequence_id": 353, "annotations": []}
{"role": "student", "content": "For no more.", "session_id": 21097, "sequence_id": 354, "annotations": []}
{"role": "student", "content": "Is that the way to go out?", "session_id": 21097, "sequence_id": 355, "annotations": []}
{"role": "volunteer", "content": "Keep going", "session_id": 21097, "sequence_id": 356, "annotations": []}
{"role": "student", "content": "OK, so", "session_id": 21097, "sequence_id": 357, "annotations": []}
{"role": "student", "content": "That's 24.", "session_id": 21097, "sequence_id": 358, "annotations": []}
{"role": "student", "content": "So", "session_id": 21097, "sequence_id": 359, "annotations": []}
{"role": "student", "content": "24. I don't understand what we just solved. So like X is 24.", "session_id": 21097, "sequence_id": 360, "annotations": []}
{"role": "volunteer", "content": "so  4x =24", "session_id": 21097, "sequence_id": 361, "annotations": []}
{"role": "volunteer", "content": "You have 4x on the left and 24 on the right", "session_id": 21097, "sequence_id": 362, "annotations": []}
{"role": "student", "content": "Yeah, 4 on the left and 24 on the right. Yes, yes, I do. Uh, forex.", "session_id": 21097, "sequence_id": 363, "annotations": []}
{"role": "student", "content": "Right here", "session_id": 21097, "sequence_id": 364, "annotations": []}
{"role": "student", "content": "And 24 right here?", "session_id": 21097, "sequence_id": 365, "annotations": []}
{"role": "student", "content": "Oh", "session_id": 21097, "sequence_id": 366, "annotations": []}
{"role": "student", "content": "Oh, OK, so it's.", "session_id": 21097, "sequence_id": 367, "annotations": []}
{"role": "student", "content": "Let's get the", "session_id": 21097, "sequence_id": 368, "annotations": []}
{"role": "student", "content": "OK, so it would be 4.", "session_id": 21097, "sequence_id": 369, "annotations": []}
{"role": "student", "content": "X equals 24.", "session_id": 21097, "sequence_id": 370, "annotations": []}
{"role": "student", "content": "Now, we will do this, which would give us for for X", "session_id": 21097, "sequence_id": 371, "annotations": []}
{"role": "student", "content": "Right?", "session_id": 21097, "sequence_id": 372, "annotations": []}
{"role": "student", "content": "Take that away", "session_id": 21097, "sequence_id": 373, "annotations": []}
{"role": "student", "content": "That would be for, you would divide that.", "session_id": 21097, "sequence_id": 374, "annotations": []}
{"role": "student", "content": "24 divided by 4.", "session_id": 21097, "sequence_id": 375, "annotations": []}
{"role": "student", "content": "Now 4 goes into 24.", "session_id": 21097, "sequence_id": 376, "annotations": []}
{"role": "student", "content": "6 times", "session_id": 21097, "sequence_id": 377, "annotations": []}
{"role": "student", "content": "Right, 6 times, so 6 equals 24.", "session_id": 21097, "sequence_id": 378, "annotations": []}
{"role": "student", "content": "Right? So, so 24, so.", "session_id": 21097, "sequence_id": 379, "annotations": []}
{"role": "student", "content": "Minus that would be 0. So X is uh 6", "session_id": 21097, "sequence_id": 380, "annotations": []}
{"role": "student", "content": "Equals 6, right? Mr. Lee?", "session_id": 21097, "sequence_id": 381, "annotations": [{"pii_type": "PERSON", "surrogate": "Mr. Lee", "start": 17, "end": 24}]}
{"role": "volunteer", "content": "right", "session_id": 21097, "sequence_id": 382, "annotations": []}
{"role": "student", "content": "Right.", "session_id": 21097, "sequence_id": 383, "annotations": []}
{"role": "student", "content": "All right, Mr. Lee, um.", "session_id": 21097, "sequence_id": 384, "annotations": [{"pii_type": "PERSON", "surrogate": "Mr. Lee", "start": 11, "end": 18}]}
{"role": "student", "content": "alright Mr. Lee thanks for all ur help", "session_id": 21097, "sequence_id": 385, "annotations": [{"pii_type": "PERSON", "surrogate": "Mr. Lee", "start": 8, "end": 15}]}
{"role": "student", "content": "Thank you for your help. Uh, you have a good one.", "session_id": 21097, "sequence_id": 386, "annotations": []}
{"role": "volunteer", "content": "You are very welcome.", "session_id": 21097, "sequence_id": 387, "annotations": []}
{"role": "student", "content": "You really helped me deep in my topic. That's what I clicked when I came here.", "session_id": 21097, "sequence_id": 388, "annotations": []}
{"role": "student", "content": "Uh, you really", "session_id": 21097, "sequence_id": 389, "annotations": []}
{"role": "student", "content": "Did help me throughout that.", "session_id": 21097, "sequence_id": 390, "annotations": []}
{"role": "student", "content": "I", "session_id": 21097, "sequence_id": 391, "annotations": []}
{"role": "volunteer", "content": "Glad I could help", "session_id": 21097, "sequence_id": 392, "annotations": []}
{"role": "student", "content": "Yeah.", "session_id": 21097, "sequence_id": 393, "annotations": []}
{"role": "volunteer", "content": "Have a great day!", "session_id": 21097, "sequence_id": 394, "annotations": []}
{"role": "student", "content": "All right, man. Uh, you have a good one.", "session_id": 21097, "sequence_id": 395, "annotations": []}
{"role": "student", "content": "Bye.", "session_id": 21097, "sequence_id": 396, "annotations": []}
{"role": "volunteer", "content": "bye", "session_id": 21097, "sequence_id": 397, "annotations": []}
{"role": "volunteer", "content": "Hello!", "session_id": 21186, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "hello i wanna know about arithmatc sequence", "session_id": 21186, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "okay", "session_id": 21186, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "does your teacher want you to use the formula to solve these questions?", "session_id": 21186, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "yea", "session_id": 21186, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "1. 335", "session_id": 21186, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "okay so ill write the formula on the board", "session_id": 21186, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "do you see what i wrote", "session_id": 21186, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "yea", "session_id": 21186, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "2. val=54.8 val=67.9 val=81", "session_id": 21186, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "3. val=9", "session_id": 21186, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "which question are you solving?", "session_id": 21186, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "oh wait nvm", "session_id": 21186, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "do you want me to check your answers?", "session_id": 21186, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "yea", "session_id": 21186, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "4. val=130 val=136 val=142", "session_id": 21186, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "4 seems right", "session_id": 21186, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "for number 3", "session_id": 21186, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "how did you get 9?", "session_id": 21186, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "wait", "session_id": 21186, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "also number 2 seems correct", "session_id": 21186, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "42-12(4-1)", "session_id": 21186, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "5.x=30", "session_id": 21186, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "wouldn't 3 be \n42-6(4-1)?", "session_id": 21186, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "i mean 45-33(4-1)", "session_id": 21186, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "?", "session_id": 21186, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "imean 45-12(3)", "session_id": 21186, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "33+12= 45", "session_id": 21186, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "oh wait", "session_id": 21186, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "27", "session_id": 21186, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "45-6(4-1)", "session_id": 21186, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "should use -6 as d \nnot -12", "session_id": 21186, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "oho oki", "session_id": 21186, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "are the rest all correct?", "session_id": 21186, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "yes 2-5 are correct", "session_id": 21186, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "but what about number 1", "session_id": 21186, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "how did you solve?", "session_id": 21186, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "300+50(8= 650", "session_id": 21186, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "yeah great job \nthat should be right", "session_id": 21186, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "do you need help with anything else?", "session_id": 21186, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "okay so you would use the same formula here", "session_id": 21186, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "Yea", "session_id": 21186, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "since you know how to use the formula these should be easy", "session_id": 21186, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "i can check over your answers once you are done", "session_id": 21186, "sequence_id": 43, "annotations": []}
{"role": "student", "content": "332", "session_id": 21186, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "for what question?", "session_id": 21186, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "if it is for question X then make sure it is -332", "session_id": 21186, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "363", "session_id": 21186, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "yes thats correct for question X", "session_id": 21186, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "471", "session_id": 21186, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "thats wrong for question 3", "session_id": 21186, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "show me the plugged in formula for 3", "session_id": 21186, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "228", "session_id": 21186, "sequence_id": 52, "annotations": []}
{"role": "student", "content": "273 for the next", "session_id": 21186, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 21186, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "both are right", "session_id": 21186, "sequence_id": 55, "annotations": []}
{"role": "student", "content": "470", "session_id": 21186, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 21186, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "thats right", "session_id": 21186, "sequence_id": 58, "annotations": []}
{"role": "student", "content": "391", "session_id": 21186, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "correct", "session_id": 21186, "sequence_id": 60, "annotations": []}
{"role": "student", "content": "-86", "session_id": 21186, "sequence_id": 61, "annotations": []}
{"role": "student", "content": "261", "session_id": 21186, "sequence_id": 62, "annotations": []}
{"role": "student", "content": "plz cheeck", "session_id": 21186, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "how did u figure that out?", "session_id": 21186, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "-86 is right", "session_id": 21186, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "but calculate for this problem?", "session_id": 21186, "sequence_id": 66, "annotations": []}
{"role": "student", "content": "wait it was for another assingment", "session_id": 21186, "sequence_id": 67, "annotations": []}
{"role": "student", "content": "59", "session_id": 21186, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "correct", "session_id": 21186, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "alright I will have to go now", "session_id": 21186, "sequence_id": 70, "annotations": []}
{"role": "student", "content": "bye!", "session_id": 21186, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "great work and bye!", "session_id": 21186, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "Hi, hi", "session_id": 21191, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "Hii! How are you?", "session_id": 21191, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "You are very puctual", "session_id": 21191, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "Im doing good", "session_id": 21191, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "you are very punctual too", "session_id": 21191, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "thank you, I try, *bowing to audience*", "session_id": 21191, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "I tried to get the topics but they were not clearly mentioned", "session_id": 21191, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "so, I got few tings", "session_id": 21191, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "like inverse trigonometry domain and range with graphs", "session_id": 21191, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 21191, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "how to solve inverse trigonmetry question, complex ones", "session_id": 21191, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "i know how to solve questions like this", "session_id": 21191, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "lemme get a hard question", "session_id": 21191, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 21191, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "2cot^-1(3) is a constant", "session_id": 21191, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "such type of question, when there are multiple things inside a bracket.", "session_id": 21191, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 21191, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "This is for monday right?", "session_id": 21191, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "yes", "session_id": 21191, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "ok, I will prep for then. This is precalc or algebra 2?", "session_id": 21191, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "is that (pi/2 - 2cot^-1(3)) inside the parenthesis?", "session_id": 21191, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "yes", "session_id": 21191, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "please give me 10 min", "session_id": 21191, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "I am having connection issue", "session_id": 21191, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "Its ok. We can wait until Monday.", "session_id": 21191, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "Hi, thank you for waiting", "session_id": 21191, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "Yes, we can do on monday.", "session_id": 21191, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "ok. sounds good to me", "session_id": 21191, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "enjoy to your weekend", "session_id": 21191, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "I have little doubt in a quadratic question.", "session_id": 21191, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "can I ask right now?", "session_id": 21191, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "sure", "session_id": 21191, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "do I show you how i try to solve it?", "session_id": 21191, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "If you want", "session_id": 21191, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "squaring both sides", "session_id": 21191, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 21191, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "I put the x values into g(x) = 0, to check if these roots statisfy the equation", "session_id": 21191, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "OK.", "session_id": 21191, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "to be minus.", "session_id": 21191, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "wait a min", "session_id": 21191, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "OK.", "session_id": 21191, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "Good", "session_id": 21191, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "so, according this , it means g(x)=0 doesn't have real roots righht?", "session_id": 21191, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "Wait, what?", "session_id": 21191, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "Why'd you get 17?", "session_id": 21191, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "Or you check two different values for", "session_id": 21191, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "Uh, the one.", "session_id": 21191, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 21191, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "Why did you, why did you check two different values?", "session_id": 21191, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "Because the", "session_id": 21191, "sequence_id": 49, "annotations": []}
{"role": "student", "content": "plus/minus sqqr root 1 = + / - 1", "session_id": 21191, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "You're, um,", "session_id": 21191, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "Your one route.", "session_id": 21191, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "Wasn't out of a square.", "session_id": 21191, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "He didn't take the square root of it.", "session_id": 21191, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "So it should just be positive one. I don't know why you tested um negative one as well.", "session_id": 21191, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "-1 wasn't a route.", "session_id": 21191, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "Right? Cause out of the um out of your algebra, you got two roots.", "session_id": 21191, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "Um, your first route, uh, the 1/81, that uh", "session_id": 21191, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "can be rewritten as a complex number to get you", "session_id": 21191, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "To get you a, um,", "session_id": 21191, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "The actual route.", "session_id": 21191, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "But I think, I think it's just 11 real route.", "session_id": 21191, "sequence_id": 62, "annotations": []}
{"role": "student", "content": "how 1/81 can be written as complex numbeer?", "session_id": 21191, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "I don't know. I was just trying stuff, and I think I found a solution.", "session_id": 21191, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "So if you take", "session_id": 21191, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "What did I do? Right.", "session_id": 21191, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "If you go back to your 81, well, I solved it differently than you. I mean, we got the same result, but I solved this slightly different.", "session_id": 21191, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "I said,", "session_id": 21191, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "Let", "session_id": 21191, "sequence_id": 69, "annotations": []}
{"role": "student", "content": "okay", "session_id": 21191, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "Why be equal to square root of x.", "session_id": 21191, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "Therefore, my G of X G Y.", "session_id": 21191, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "becomes", "session_id": 21191, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "9", "session_id": 21191, "sequence_id": 74, "annotations": []}
{"role": "volunteer", "content": "Y^2 minus 8Y.", "session_id": 21191, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "-1.", "session_id": 21191, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "Which just becomes", "session_id": 21191, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "9 Y + 1.", "session_id": 21191, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "Time", "session_id": 21191, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "Why minus 1.", "session_id": 21191, "sequence_id": 80, "annotations": []}
{"role": "volunteer", "content": "Which is what you got.", "session_id": 21191, "sequence_id": 81, "annotations": []}
{"role": "volunteer", "content": "Except, um, you had it just basically squared, right? You got that.", "session_id": 21191, "sequence_id": 82, "annotations": []}
{"role": "volunteer", "content": "X minus", "session_id": 21191, "sequence_id": 83, "annotations": []}
{"role": "volunteer", "content": "Yeah, close enough.", "session_id": 21191, "sequence_id": 84, "annotations": []}
{"role": "volunteer", "content": "Can I get, yeah, 9, yeah, and then if you", "session_id": 21191, "sequence_id": 85, "annotations": []}
{"role": "volunteer", "content": "Factor back in what X is.", "session_id": 21191, "sequence_id": 86, "annotations": []}
{"role": "volunteer", "content": "Or what why is you get 9 root X.", "session_id": 21191, "sequence_id": 87, "annotations": []}
{"role": "volunteer", "content": "Plus one", "session_id": 21191, "sequence_id": 88, "annotations": []}
{"role": "volunteer", "content": "Times", "session_id": 21191, "sequence_id": 89, "annotations": []}
{"role": "volunteer", "content": "Root X minus 1.", "session_id": 21191, "sequence_id": 90, "annotations": []}
{"role": "volunteer", "content": "You said equal to 0.", "session_id": 21191, "sequence_id": 91, "annotations": []}
{"role": "volunteer", "content": "And for your first expression, you got square root of X minus 1 equals 0, so you got a square root of X equals 1 square both sides, you just get X is equal to 1.", "session_id": 21191, "sequence_id": 92, "annotations": []}
{"role": "volunteer", "content": "Right, just a single root out of that.", "session_id": 21191, "sequence_id": 93, "annotations": []}
{"role": "volunteer", "content": "Then you go to your 2nd 1.", "session_id": 21191, "sequence_id": 94, "annotations": []}
{"role": "volunteer", "content": "Which is 9 root X + 1 equals 0.", "session_id": 21191, "sequence_id": 95, "annotations": []}
{"role": "volunteer", "content": "Then you subtract.", "session_id": 21191, "sequence_id": 96, "annotations": []}
{"role": "volunteer", "content": "Equals -1.", "session_id": 21191, "sequence_id": 97, "annotations": []}
{"role": "volunteer", "content": "Um, but I'm a rewrite -1.", "session_id": 21191, "sequence_id": 98, "annotations": []}
{"role": "volunteer", "content": "To equal", "session_id": 21191, "sequence_id": 99, "annotations": []}
{"role": "volunteer", "content": "I squared.", "session_id": 21191, "sequence_id": 100, "annotations": []}
{"role": "volunteer", "content": "So then if I square both sides,", "session_id": 21191, "sequence_id": 101, "annotations": []}
{"role": "volunteer", "content": "Take the whole thing.", "session_id": 21191, "sequence_id": 102, "annotations": []}
{"role": "volunteer", "content": "And squared, then I get 81.", "session_id": 21191, "sequence_id": 103, "annotations": []}
{"role": "volunteer", "content": "X is equal to 14th.", "session_id": 21191, "sequence_id": 104, "annotations": []}
{"role": "volunteer", "content": "So then X is equal to 14/81, which Ida the 4th is still just one.", "session_id": 21191, "sequence_id": 105, "annotations": []}
{"role": "volunteer", "content": "But it helps the algebra later.", "session_id": 21191, "sequence_id": 106, "annotations": []}
{"role": "volunteer", "content": "So you know your X is equal to 1 is is works as a route. So we plug in.", "session_id": 21191, "sequence_id": 107, "annotations": []}
{"role": "volunteer", "content": "To G of X, we plug in GO", "session_id": 21191, "sequence_id": 108, "annotations": []}
{"role": "volunteer", "content": "I to the 4th over 81.", "session_id": 21191, "sequence_id": 109, "annotations": []}
{"role": "volunteer", "content": "Yes, to equal to 9.", "session_id": 21191, "sequence_id": 110, "annotations": []}
{"role": "volunteer", "content": "I to the 4th over 81.", "session_id": 21191, "sequence_id": 111, "annotations": []}
{"role": "volunteer", "content": "-8.", "session_id": 21191, "sequence_id": 112, "annotations": []}
{"role": "volunteer", "content": "Square root and the 4th.", "session_id": 21191, "sequence_id": 113, "annotations": []}
{"role": "volunteer", "content": "For anyone", "session_id": 21191, "sequence_id": 114, "annotations": []}
{"role": "volunteer", "content": "-1", "session_id": 21191, "sequence_id": 115, "annotations": []}
{"role": "student", "content": "you chose only x=1 becuz when we put x = -1, it doesn't statisfy the equation righht?", "session_id": 21191, "sequence_id": 116, "annotations": []}
{"role": "volunteer", "content": "Uh, then you evaluate, you get 1/9 out of the 4th.", "session_id": 21191, "sequence_id": 117, "annotations": []}
{"role": "volunteer", "content": "Where did you get X is equal to -1?", "session_id": 21191, "sequence_id": 118, "annotations": []}
{"role": "volunteer", "content": "So", "session_id": 21191, "sequence_id": 119, "annotations": []}
{"role": "volunteer", "content": "X can't and in this instance, X can't be equal to -1 because it came from a square root.", "session_id": 21191, "sequence_id": 120, "annotations": []}
{"role": "volunteer", "content": "That would mean, that would mean here that X is equal to -1", "session_id": 21191, "sequence_id": 121, "annotations": []}
{"role": "volunteer", "content": "I squared.", "session_id": 21191, "sequence_id": 122, "annotations": []}
{"role": "volunteer", "content": "It'll work the same too, but", "session_id": 21191, "sequence_id": 123, "annotations": []}
{"role": "volunteer", "content": "Actually be Ida the 4th, so it'd still be a", "session_id": 21191, "sequence_id": 124, "annotations": []}
{"role": "volunteer", "content": "Um,", "session_id": 21191, "sequence_id": 125, "annotations": []}
{"role": "student", "content": "ohh, got it! I was doing it wrong", "session_id": 21191, "sequence_id": 126, "annotations": []}
{"role": "volunteer", "content": "Like you only get your plus or minus when you, when you take the square root, but in this answer, we were squaring it.", "session_id": 21191, "sequence_id": 127, "annotations": []}
{"role": "volunteer", "content": "So X has to be positive.", "session_id": 21191, "sequence_id": 128, "annotations": []}
{"role": "volunteer", "content": "If we have the square root of X equals 1, X has to be positive, so we can't consider the negative one.", "session_id": 21191, "sequence_id": 129, "annotations": []}
{"role": "student", "content": "yeah, right.", "session_id": 21191, "sequence_id": 130, "annotations": []}
{"role": "student", "content": "got it!", "session_id": 21191, "sequence_id": 131, "annotations": []}
{"role": "volunteer", "content": "Right? So think of, so go back. So if you, if you even try to plug it in as a route, uh, to your", "session_id": 21191, "sequence_id": 132, "annotations": []}
{"role": "volunteer", "content": "Other expression, just the 9 square of x + 1 into the square root of X minus 1. If you try to plug in a negative 1, you'll have 9 I + 1 times I minus 1.", "session_id": 21191, "sequence_id": 133, "annotations": []}
{"role": "volunteer", "content": "Right, and that wouldn't", "session_id": 21191, "sequence_id": 134, "annotations": []}
{"role": "volunteer", "content": "That obviously wouldn't work as a route.", "session_id": 21191, "sequence_id": 135, "annotations": []}
{"role": "volunteer", "content": "So it wouldn't, it wouldn't even hold.", "session_id": 21191, "sequence_id": 136, "annotations": []}
{"role": "volunteer", "content": "Anyway, uh, get back to my fancy pants.", "session_id": 21191, "sequence_id": 137, "annotations": []}
{"role": "volunteer", "content": "So, minus 8/9.", "session_id": 21191, "sequence_id": 138, "annotations": []}
{"role": "volunteer", "content": "I 2 minus 1, and we, we, um, substitute back in what eyes are.", "session_id": 21191, "sequence_id": 139, "annotations": []}
{"role": "volunteer", "content": "So we get uh 1/9, because out of the 4th there's just 1, I squad is -1, so you get 19 plus 8/9 minus 1 gives you 0.", "session_id": 21191, "sequence_id": 140, "annotations": []}
{"role": "volunteer", "content": "At least that's, I think that's how you do it. Normally, a complex number is like A + BI.", "session_id": 21191, "sequence_id": 141, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 21191, "sequence_id": 142, "annotations": []}
{"role": "volunteer", "content": "But you can't really do that with the square root.", "session_id": 21191, "sequence_id": 143, "annotations": []}
{"role": "volunteer", "content": "At least I've never seen a square root of a complex number.", "session_id": 21191, "sequence_id": 144, "annotations": []}
{"role": "volunteer", "content": "He asked that.", "session_id": 21191, "sequence_id": 145, "annotations": []}
{"role": "volunteer", "content": "kind of square root.", "session_id": 21191, "sequence_id": 146, "annotations": []}
{"role": "volunteer", "content": "complex number.", "session_id": 21191, "sequence_id": 147, "annotations": []}
{"role": "volunteer", "content": "Huh, square root of a complex numbers always returns.", "session_id": 21191, "sequence_id": 148, "annotations": []}
{"role": "volunteer", "content": "A conjugate pair", "session_id": 21191, "sequence_id": 149, "annotations": []}
{"role": "volunteer", "content": "Mm.", "session_id": 21191, "sequence_id": 150, "annotations": []}
{"role": "volunteer", "content": "I understand very little.", "session_id": 21191, "sequence_id": 151, "annotations": []}
{"role": "student", "content": "how squar root of complex number gives conjugate pair ?", "session_id": 21191, "sequence_id": 152, "annotations": []}
{"role": "volunteer", "content": "That's what I'm saying.", "session_id": 21191, "sequence_id": 153, "annotations": []}
{"role": "volunteer", "content": "They even bolded it for me, they highlighted it.", "session_id": 21191, "sequence_id": 154, "annotations": []}
{"role": "volunteer", "content": "Uh, let's see.", "session_id": 21191, "sequence_id": 155, "annotations": []}
{"role": "volunteer", "content": "I guess it's", "session_id": 21191, "sequence_id": 156, "annotations": []}
{"role": "volunteer", "content": "The conjugate pair.", "session_id": 21191, "sequence_id": 157, "annotations": []}
{"role": "volunteer", "content": "Of the square root of the", "session_id": 21191, "sequence_id": 158, "annotations": []}
{"role": "volunteer", "content": "Oh, this is normalized. B over B.", "session_id": 21191, "sequence_id": 159, "annotations": []}
{"role": "volunteer", "content": "Absolute value.", "session_id": 21191, "sequence_id": 160, "annotations": []}
{"role": "volunteer", "content": "And A is 0.", "session_id": 21191, "sequence_id": 161, "annotations": []}
{"role": "volunteer", "content": "Then you just get the", "session_id": 21191, "sequence_id": 162, "annotations": []}
{"role": "volunteer", "content": "Really get", "session_id": 21191, "sequence_id": 163, "annotations": []}
{"role": "volunteer", "content": "Be over the square root of B over 2.", "session_id": 21191, "sequence_id": 164, "annotations": []}
{"role": "volunteer", "content": "you really see.", "session_id": 21191, "sequence_id": 165, "annotations": []}
{"role": "volunteer", "content": "to calculate the magnitude.", "session_id": 21191, "sequence_id": 166, "annotations": []}
{"role": "volunteer", "content": "Mm", "session_id": 21191, "sequence_id": 167, "annotations": []}
{"role": "volunteer", "content": "OK, that kind of makes sense, really ugly.", "session_id": 21191, "sequence_id": 168, "annotations": []}
{"role": "volunteer", "content": "Oh, it's gonna be absolute value.", "session_id": 21191, "sequence_id": 169, "annotations": []}
{"role": "volunteer", "content": "So that's probably why it came out to um", "session_id": 21191, "sequence_id": 170, "annotations": []}
{"role": "volunteer", "content": "This square root of X is equal to 1. This X is probably absolute value.", "session_id": 21191, "sequence_id": 171, "annotations": []}
{"role": "volunteer", "content": "So you're right, it could have been -1.", "session_id": 21191, "sequence_id": 172, "annotations": []}
{"role": "volunteer", "content": "But we don't see absolute value anywhere else.", "session_id": 21191, "sequence_id": 173, "annotations": []}
{"role": "volunteer", "content": "B or be absolute value.", "session_id": 21191, "sequence_id": 174, "annotations": []}
{"role": "student", "content": "no, i wasn't right. sqr of x will be only 1", "session_id": 21191, "sequence_id": 175, "annotations": []}
{"role": "volunteer", "content": "Oh, oops.", "session_id": 21191, "sequence_id": 176, "annotations": []}
{"role": "volunteer", "content": "I went to another website and I'm still only showing you.", "session_id": 21191, "sequence_id": 177, "annotations": []}
{"role": "volunteer", "content": "To close this.", "session_id": 21191, "sequence_id": 178, "annotations": []}
{"role": "volunteer", "content": "I feel like", "session_id": 21191, "sequence_id": 179, "annotations": []}
{"role": "volunteer", "content": "-1 would work if that square root was an abs was an absolute value of X.", "session_id": 21191, "sequence_id": 180, "annotations": []}
{"role": "volunteer", "content": "So if it was the square root of absolute value of X.", "session_id": 21191, "sequence_id": 181, "annotations": []}
{"role": "volunteer", "content": "Then yeah, that would work. You'd square both sides, and then you would, um,", "session_id": 21191, "sequence_id": 182, "annotations": []}
{"role": "volunteer", "content": "Take the inverse of the absolute value in consider both sides, plus or minus.", "session_id": 21191, "sequence_id": 183, "annotations": []}
{"role": "volunteer", "content": "But that would give two roots.", "session_id": 21191, "sequence_id": 184, "annotations": []}
{"role": "volunteer", "content": "And we have a polynomial of", "session_id": 21191, "sequence_id": 185, "annotations": []}
{"role": "volunteer", "content": "It's a degree of one, but we have the square roots, so it almost bumps it up.", "session_id": 21191, "sequence_id": 186, "annotations": []}
{"role": "volunteer", "content": "I guess it guarantees that it's gonna be a um one reel and one unreal, or one complex root.", "session_id": 21191, "sequence_id": 187, "annotations": []}
{"role": "volunteer", "content": "Let's see what's it.", "session_id": 21191, "sequence_id": 188, "annotations": []}
{"role": "volunteer", "content": "What's the degree of a pole a meal with.", "session_id": 21191, "sequence_id": 189, "annotations": []}
{"role": "volunteer", "content": "square roots.", "session_id": 21191, "sequence_id": 190, "annotations": []}
{"role": "volunteer", "content": "Huh", "session_id": 21191, "sequence_id": 191, "annotations": []}
{"role": "volunteer", "content": "If the square root is applied to the variable itself, the expression is not a polynomial.", "session_id": 21191, "sequence_id": 192, "annotations": []}
{"role": "volunteer", "content": "Because it's got to be", "session_id": 21191, "sequence_id": 193, "annotations": []}
{"role": "volunteer", "content": "In your exponents only.", "session_id": 21191, "sequence_id": 194, "annotations": []}
{"role": "volunteer", "content": "Non-negative integer powers of the guru.", "session_id": 21191, "sequence_id": 195, "annotations": []}
{"role": "volunteer", "content": "For this", "session_id": 21191, "sequence_id": 196, "annotations": []}
{"role": "volunteer", "content": "problem, for this problem, what do you think it is?", "session_id": 21191, "sequence_id": 197, "annotations": []}
{"role": "volunteer", "content": "Or at least um give me your logic.", "session_id": 21191, "sequence_id": 198, "annotations": []}
{"role": "volunteer", "content": "To narrow the um multiple choice.", "session_id": 21191, "sequence_id": 199, "annotations": []}
{"role": "student", "content": "so, according to my method, I am getting one real root that staisfy g(x)=0", "session_id": 21191, "sequence_id": 200, "annotations": []}
{"role": "student", "content": "since as you told, we can only consider x=1, because that's what we are getting after solve g(x)=0", "session_id": 21191, "sequence_id": 201, "annotations": []}
{"role": "volunteer", "content": "Right.", "session_id": 21191, "sequence_id": 202, "annotations": []}
{"role": "volunteer", "content": "Is that it? Can you at least give uh", "session_id": 21191, "sequence_id": 203, "annotations": []}
{"role": "volunteer", "content": "I guess that's it, isn't mean, no other way to explain away the other answers.", "session_id": 21191, "sequence_id": 204, "annotations": []}
{"role": "volunteer", "content": "Though I'm hesitant to, um,", "session_id": 21191, "sequence_id": 205, "annotations": []}
{"role": "volunteer", "content": "I keep thinking about my answer, my", "session_id": 21191, "sequence_id": 206, "annotations": []}
{"role": "volunteer", "content": "Ida the 4th or 81, that's not a complex number.", "session_id": 21191, "sequence_id": 207, "annotations": []}
{"role": "volunteer", "content": "And I'm trying to figure out", "session_id": 21191, "sequence_id": 208, "annotations": []}
{"role": "volunteer", "content": "How would I solve this? I guess I'd have to do", "session_id": 21191, "sequence_id": 209, "annotations": []}
{"role": "volunteer", "content": "Um", "session_id": 21191, "sequence_id": 210, "annotations": []}
{"role": "volunteer", "content": "What if I did the", "session_id": 21191, "sequence_id": 211, "annotations": []}
{"role": "volunteer", "content": "Pythagorean theorem.", "session_id": 21191, "sequence_id": 212, "annotations": []}
{"role": "volunteer", "content": "For why. Let's do that.", "session_id": 21191, "sequence_id": 213, "annotations": []}
{"role": "volunteer", "content": "If I had", "session_id": 21191, "sequence_id": 214, "annotations": []}
{"role": "volunteer", "content": "Negative. Let's say why is equal to.", "session_id": 21191, "sequence_id": 215, "annotations": []}
{"role": "volunteer", "content": "8 plus or minus the square root.", "session_id": 21191, "sequence_id": 216, "annotations": []}
{"role": "volunteer", "content": "64 minus 4 times.", "session_id": 21191, "sequence_id": 217, "annotations": []}
{"role": "volunteer", "content": "CA is 9.", "session_id": 21191, "sequence_id": 218, "annotations": []}
{"role": "volunteer", "content": "C is -1.", "session_id": 21191, "sequence_id": 219, "annotations": []}
{"role": "volunteer", "content": "Over.", "session_id": 21191, "sequence_id": 220, "annotations": []}
{"role": "volunteer", "content": "18, 2 times A, which is 18.", "session_id": 21191, "sequence_id": 221, "annotations": []}
{"role": "volunteer", "content": "8 square root of 64 plus 36 100.", "session_id": 21191, "sequence_id": 222, "annotations": []}
{"role": "volunteer", "content": "Oh, that comes out pretty clean.", "session_id": 21191, "sequence_id": 223, "annotations": []}
{"role": "volunteer", "content": "It becomes -8 plus or minus.", "session_id": 21191, "sequence_id": 224, "annotations": []}
{"role": "volunteer", "content": "10.", "session_id": 21191, "sequence_id": 225, "annotations": []}
{"role": "volunteer", "content": "Over 18.", "session_id": 21191, "sequence_id": 226, "annotations": []}
{"role": "volunteer", "content": "Which is, um,", "session_id": 21191, "sequence_id": 227, "annotations": []}
{"role": "volunteer", "content": "4 plus or minus 5.", "session_id": 21191, "sequence_id": 228, "annotations": []}
{"role": "volunteer", "content": "09. I think that is", "session_id": 21191, "sequence_id": 229, "annotations": []}
{"role": "volunteer", "content": "I think there's no real roots.", "session_id": 21191, "sequence_id": 230, "annotations": []}
{"role": "volunteer", "content": "Hm", "session_id": 21191, "sequence_id": 231, "annotations": []}
{"role": "volunteer", "content": "This is a head scratcher.", "session_id": 21191, "sequence_id": 232, "annotations": []}
{"role": "student", "content": "how?", "session_id": 21191, "sequence_id": 233, "annotations": []}
{"role": "volunteer", "content": "Because we get a conjugate pair out of this, which is two solutions.", "session_id": 21191, "sequence_id": 234, "annotations": []}
{"role": "volunteer", "content": "What we", "session_id": 21191, "sequence_id": 235, "annotations": []}
{"role": "volunteer", "content": "I mean, it's, it's not, it's not a, I mean,", "session_id": 21191, "sequence_id": 236, "annotations": []}
{"role": "volunteer", "content": "It turns out that this is not a polynomial, because", "session_id": 21191, "sequence_id": 237, "annotations": []}
{"role": "volunteer", "content": "It has a square root term.", "session_id": 21191, "sequence_id": 238, "annotations": []}
{"role": "volunteer", "content": "In a polynomial has to have uh an expression with", "session_id": 21191, "sequence_id": 239, "annotations": []}
{"role": "volunteer", "content": "Non-negative.", "session_id": 21191, "sequence_id": 240, "annotations": []}
{"role": "volunteer", "content": "Non-negative exponents in the square root is not, is not an injury.", "session_id": 21191, "sequence_id": 241, "annotations": []}
{"role": "volunteer", "content": "So this is not a polynomial.", "session_id": 21191, "sequence_id": 242, "annotations": []}
{"role": "volunteer", "content": "Oh, wait, this is just why.", "session_id": 21191, "sequence_id": 243, "annotations": []}
{"role": "volunteer", "content": "I got to take the square root of this.", "session_id": 21191, "sequence_id": 244, "annotations": []}
{"role": "volunteer", "content": "Right, as you got, all right.", "session_id": 21191, "sequence_id": 245, "annotations": []}
{"role": "volunteer", "content": "X is equal to.", "session_id": 21191, "sequence_id": 246, "annotations": []}
{"role": "volunteer", "content": "Um", "session_id": 21191, "sequence_id": 247, "annotations": []}
{"role": "volunteer", "content": "Sorry, Y is equal to square root of x. So X is equal to Y^2.", "session_id": 21191, "sequence_id": 248, "annotations": []}
{"role": "volunteer", "content": "So if I square this,", "session_id": 21191, "sequence_id": 249, "annotations": []}
{"role": "volunteer", "content": "Um", "session_id": 21191, "sequence_id": 250, "annotations": []}
{"role": "volunteer", "content": "It'd be", "session_id": 21191, "sequence_id": 251, "annotations": []}
{"role": "volunteer", "content": "How do you square complex number? Do you have to take the", "session_id": 21191, "sequence_id": 252, "annotations": []}
{"role": "volunteer", "content": "Determinant or do you", "session_id": 21191, "sequence_id": 253, "annotations": []}
{"role": "volunteer", "content": "Do you know how to square a complex number? Good little trivia for you.", "session_id": 21191, "sequence_id": 254, "annotations": []}
{"role": "volunteer", "content": "Oh", "session_id": 21191, "sequence_id": 255, "annotations": []}
{"role": "volunteer", "content": "ABI 2 ABI wouldn't it? Oh, you played the squire, I square. I see what you did there.", "session_id": 21191, "sequence_id": 256, "annotations": []}
{"role": "volunteer", "content": "Clever", "session_id": 21191, "sequence_id": 257, "annotations": []}
{"role": "volunteer", "content": "So it should be", "session_id": 21191, "sequence_id": 258, "annotations": []}
{"role": "volunteer", "content": "36/81.", "session_id": 21191, "sequence_id": 259, "annotations": []}
{"role": "volunteer", "content": "Plus 5 nights, which is where I get 36?", "session_id": 21191, "sequence_id": 260, "annotations": []}
{"role": "volunteer", "content": "I'm done. That should be 16.", "session_id": 21191, "sequence_id": 261, "annotations": []}
{"role": "volunteer", "content": "25/81.", "session_id": 21191, "sequence_id": 262, "annotations": []}
{"role": "volunteer", "content": "Minus", "session_id": 21191, "sequence_id": 263, "annotations": []}
{"role": "volunteer", "content": "Uh, 4 times 5, I guess be plus, yeah, minus.", "session_id": 21191, "sequence_id": 264, "annotations": []}
{"role": "volunteer", "content": "2", "session_id": 21191, "sequence_id": 265, "annotations": []}
{"role": "volunteer", "content": "Over 81 I.", "session_id": 21191, "sequence_id": 266, "annotations": []}
{"role": "volunteer", "content": "Which is equal to 16 and 25 is 41, so 41.", "session_id": 21191, "sequence_id": 267, "annotations": []}
{"role": "volunteer", "content": "0 81.", "session_id": 21191, "sequence_id": 268, "annotations": []}
{"role": "volunteer", "content": "minus 20/81 I.", "session_id": 21191, "sequence_id": 269, "annotations": []}
{"role": "volunteer", "content": "So that is", "session_id": 21191, "sequence_id": 270, "annotations": []}
{"role": "volunteer", "content": "The other route.", "session_id": 21191, "sequence_id": 271, "annotations": []}
{"role": "volunteer", "content": "And I do not want to plug that in. Oh.", "session_id": 21191, "sequence_id": 272, "annotations": []}
{"role": "volunteer", "content": "Because what would be", "session_id": 21191, "sequence_id": 273, "annotations": []}
{"role": "volunteer", "content": "The square root.", "session_id": 21191, "sequence_id": 274, "annotations": []}
{"role": "volunteer", "content": "Would it be the conjugate pair or just one of, one of the pair?", "session_id": 21191, "sequence_id": 275, "annotations": []}
{"role": "volunteer", "content": "I had the chests both cases.", "session_id": 21191, "sequence_id": 276, "annotations": []}
{"role": "student", "content": "how did apply this formula, you have take b of x", "session_id": 21191, "sequence_id": 277, "annotations": []}
{"role": "student", "content": "but here it is b of root x", "session_id": 21191, "sequence_id": 278, "annotations": []}
{"role": "volunteer", "content": "Oh, it's minus 81.", "session_id": 21191, "sequence_id": 279, "annotations": []}
{"role": "volunteer", "content": "Whoops.", "session_id": 21191, "sequence_id": 280, "annotations": []}
{"role": "volunteer", "content": "Yeah, that's what you got, right?", "session_id": 21191, "sequence_id": 281, "annotations": []}
{"role": "volunteer", "content": "Because the B square, I 2 is minus, so it's be minus square. So this is actually", "session_id": 21191, "sequence_id": 282, "annotations": []}
{"role": "volunteer", "content": "minus", "session_id": 21191, "sequence_id": 283, "annotations": []}
{"role": "volunteer", "content": "So 16 minus 25 is 9.", "session_id": 21191, "sequence_id": 284, "annotations": []}
{"role": "volunteer", "content": "So this is actually 19th.", "session_id": 21191, "sequence_id": 285, "annotations": []}
{"role": "volunteer", "content": "negative one night.", "session_id": 21191, "sequence_id": 286, "annotations": []}
{"role": "volunteer", "content": "-20 over 81 I.", "session_id": 21191, "sequence_id": 287, "annotations": []}
{"role": "volunteer", "content": "Now good question here would be how do you take the square root of a complex number.", "session_id": 21191, "sequence_id": 288, "annotations": []}
{"role": "volunteer", "content": "I got a lot to practice for Monday.", "session_id": 21191, "sequence_id": 289, "annotations": []}
{"role": "volunteer", "content": "Oh, that's what we're looking up earlier, square root of a complex number.", "session_id": 21191, "sequence_id": 290, "annotations": []}
{"role": "volunteer", "content": "How did you apply this formula, you have to take B of X, but here it is B of root x", "session_id": 21191, "sequence_id": 291, "annotations": []}
{"role": "volunteer", "content": "Say that again.", "session_id": 21191, "sequence_id": 292, "annotations": []}
{"role": "volunteer", "content": "So I, oh, whoops, I forgot to my eye here.", "session_id": 21191, "sequence_id": 293, "annotations": []}
{"role": "volunteer", "content": "Um, I said,", "session_id": 21191, "sequence_id": 294, "annotations": []}
{"role": "volunteer", "content": "A was -4 nights.", "session_id": 21191, "sequence_id": 295, "annotations": []}
{"role": "volunteer", "content": "And B was", "session_id": 21191, "sequence_id": 296, "annotations": []}
{"role": "volunteer", "content": "5 nights.", "session_id": 21191, "sequence_id": 297, "annotations": []}
{"role": "volunteer", "content": "So then I just square, I did a squad, which is 16/81.", "session_id": 21191, "sequence_id": 298, "annotations": []}
{"role": "volunteer", "content": "Um, it's supposed to be minus i^2 because I 2 is -1, so minus 25 or 81.", "session_id": 21191, "sequence_id": 299, "annotations": []}
{"role": "volunteer", "content": "And uh", "session_id": 21191, "sequence_id": 300, "annotations": []}
{"role": "volunteer", "content": "16 minus 25 is -9.", "session_id": 21191, "sequence_id": 301, "annotations": []}
{"role": "volunteer", "content": "That's why I got the negative 1/9.", "session_id": 21191, "sequence_id": 302, "annotations": []}
{"role": "volunteer", "content": "The of.", "session_id": 21191, "sequence_id": 303, "annotations": []}
{"role": "volunteer", "content": "Um,", "session_id": 21191, "sequence_id": 304, "annotations": []}
{"role": "volunteer", "content": "Did I get, oh, I see what you did wrong. I see what I did wrong. You're saying that", "session_id": 21191, "sequence_id": 305, "annotations": []}
{"role": "volunteer", "content": "B is supposed to be.", "session_id": 21191, "sequence_id": 306, "annotations": []}
{"role": "volunteer", "content": "You're right. So it should be a positive for nice.", "session_id": 21191, "sequence_id": 307, "annotations": []}
{"role": "volunteer", "content": "You're positive for nights.", "session_id": 21191, "sequence_id": 308, "annotations": []}
{"role": "volunteer", "content": "I guess it doesn't really matter?", "session_id": 21191, "sequence_id": 309, "annotations": []}
{"role": "student", "content": "i am getting y=1 and -1/9", "session_id": 21191, "sequence_id": 310, "annotations": []}
{"role": "volunteer", "content": "The calculations, cause I'm still squaring it.", "session_id": 21191, "sequence_id": 311, "annotations": []}
{"role": "volunteer", "content": "You're getting win, you go to 1 and negative or nice.", "session_id": 21191, "sequence_id": 312, "annotations": []}
{"role": "volunteer", "content": "From the Pythagorean identity.", "session_id": 21191, "sequence_id": 313, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 21191, "sequence_id": 314, "annotations": []}
{"role": "volunteer", "content": "Like a theorem.", "session_id": 21191, "sequence_id": 315, "annotations": []}
{"role": "volunteer", "content": "Hm.", "session_id": 21191, "sequence_id": 316, "annotations": []}
{"role": "volunteer", "content": "All right, let me just delete all that. I got no room left.", "session_id": 21191, "sequence_id": 317, "annotations": []}
{"role": "volunteer", "content": "Start over.", "session_id": 21191, "sequence_id": 318, "annotations": []}
{"role": "student", "content": "noo", "session_id": 21191, "sequence_id": 319, "annotations": []}
{"role": "volunteer", "content": "It's not good.", "session_id": 21191, "sequence_id": 320, "annotations": []}
{"role": "volunteer", "content": "No", "session_id": 21191, "sequence_id": 321, "annotations": []}
{"role": "volunteer", "content": "Sorry, I'm pretty decisive, unfortunately.", "session_id": 21191, "sequence_id": 322, "annotations": []}
{"role": "volunteer", "content": "Uh", "session_id": 21191, "sequence_id": 323, "annotations": []}
{"role": "student", "content": "you put the sign wrong", "session_id": 21191, "sequence_id": 324, "annotations": []}
{"role": "volunteer", "content": "We said B.", "session_id": 21191, "sequence_id": 325, "annotations": []}
{"role": "student", "content": "for b", "session_id": 21191, "sequence_id": 326, "annotations": []}
{"role": "volunteer", "content": "Yeah, yeah, I was, I would try to fix B this time.", "session_id": 21191, "sequence_id": 327, "annotations": []}
{"role": "volunteer", "content": "So it's 8 plus or minus the square root of 64 minus", "session_id": 21191, "sequence_id": 328, "annotations": []}
{"role": "volunteer", "content": "Um, for A, which is 9C, which is -1.", "session_id": 21191, "sequence_id": 329, "annotations": []}
{"role": "volunteer", "content": "All over.", "session_id": 21191, "sequence_id": 330, "annotations": []}
{"role": "volunteer", "content": "Uh, 2 x 9.", "session_id": 21191, "sequence_id": 331, "annotations": []}
{"role": "volunteer", "content": "So", "session_id": 21191, "sequence_id": 332, "annotations": []}
{"role": "volunteer", "content": "8", "session_id": 21191, "sequence_id": 333, "annotations": []}
{"role": "volunteer", "content": "Over 18 plus or minus.", "session_id": 21191, "sequence_id": 334, "annotations": []}
{"role": "volunteer", "content": "Square root 9.", "session_id": 21191, "sequence_id": 335, "annotations": []}
{"role": "volunteer", "content": "Over 18, which is 4/9 plus or minus.", "session_id": 21191, "sequence_id": 336, "annotations": []}
{"role": "volunteer", "content": "Um, 10 or", "session_id": 21191, "sequence_id": 337, "annotations": []}
{"role": "volunteer", "content": "5.", "session_id": 21191, "sequence_id": 338, "annotations": []}
{"role": "volunteer", "content": "I.", "session_id": 21191, "sequence_id": 339, "annotations": []}
{"role": "volunteer", "content": "Wait a minute.", "session_id": 21191, "sequence_id": 340, "annotations": []}
{"role": "volunteer", "content": "That is not I.", "session_id": 21191, "sequence_id": 341, "annotations": []}
{"role": "student", "content": "how are you getting i?", "session_id": 21191, "sequence_id": 342, "annotations": []}
{"role": "volunteer", "content": "What am I doing? This is not a complex number then.", "session_id": 21191, "sequence_id": 343, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 21191, "sequence_id": 344, "annotations": []}
{"role": "volunteer", "content": "I threw eye in there because I thought it was.", "session_id": 21191, "sequence_id": 345, "annotations": []}
{"role": "volunteer", "content": "It's supposed to be a complex number, but now,", "session_id": 21191, "sequence_id": 346, "annotations": []}
{"role": "volunteer", "content": "I'm throwing my hands in the sky.", "session_id": 21191, "sequence_id": 347, "annotations": []}
{"role": "volunteer", "content": "I can, um, formula.", "session_id": 21191, "sequence_id": 348, "annotations": []}
{"role": "volunteer", "content": "Is it?", "session_id": 21191, "sequence_id": 349, "annotations": []}
{"role": "student", "content": "if you solve it further, you will get right values of y", "session_id": 21191, "sequence_id": 350, "annotations": []}
{"role": "volunteer", "content": "If I saw it further, you will get right values of wine.", "session_id": 21191, "sequence_id": 351, "annotations": []}
{"role": "volunteer", "content": "Oh, I see what you're saying. So, going from this,", "session_id": 21191, "sequence_id": 352, "annotations": []}
{"role": "volunteer", "content": "If I have", "session_id": 21191, "sequence_id": 353, "annotations": []}
{"role": "volunteer", "content": "4 + 5 is just 1.", "session_id": 21191, "sequence_id": 354, "annotations": []}
{"role": "volunteer", "content": "And the other answer is 4 minus 5 is -19.", "session_id": 21191, "sequence_id": 355, "annotations": []}
{"role": "volunteer", "content": "Did you get negative one night?", "session_id": 21191, "sequence_id": 356, "annotations": []}
{"role": "volunteer", "content": "feel like you did. You got 1/81, which is much different than what", "session_id": 21191, "sequence_id": 357, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 21191, "sequence_id": 358, "annotations": []}
{"role": "volunteer", "content": "We got earlier.", "session_id": 21191, "sequence_id": 359, "annotations": []}
{"role": "volunteer", "content": "All right. And we know that one works.", "session_id": 21191, "sequence_id": 360, "annotations": []}
{"role": "volunteer", "content": "Let's check. So, y.", "session_id": 21191, "sequence_id": 361, "annotations": []}
{"role": "volunteer", "content": "This, oh, this is for why. Whoops.", "session_id": 21191, "sequence_id": 362, "annotations": []}
{"role": "student", "content": "yup!", "session_id": 21191, "sequence_id": 363, "annotations": []}
{"role": "volunteer", "content": "So, y", "session_id": 21191, "sequence_id": 364, "annotations": []}
{"role": "volunteer", "content": "is equal to x.", "session_id": 21191, "sequence_id": 365, "annotations": []}
{"role": "volunteer", "content": "You go to the square root of it, so we get the square root of one, which is one, and we get the square root of -1/9, which is just", "session_id": 21191, "sequence_id": 366, "annotations": []}
{"role": "volunteer", "content": "I times the square root of 19, which is equal to", "session_id": 21191, "sequence_id": 367, "annotations": []}
{"role": "volunteer", "content": "I over.", "session_id": 21191, "sequence_id": 368, "annotations": []}
{"role": "volunteer", "content": "3", "session_id": 21191, "sequence_id": 369, "annotations": []}
{"role": "volunteer", "content": "Does that make sense? Huh.", "session_id": 21191, "sequence_id": 370, "annotations": []}
{"role": "student", "content": "no", "session_id": 21191, "sequence_id": 371, "annotations": []}
{"role": "student", "content": "you have to squre -1/9", "session_id": 21191, "sequence_id": 372, "annotations": []}
{"role": "student", "content": "it will be 1/81", "session_id": 21191, "sequence_id": 373, "annotations": []}
{"role": "volunteer", "content": "Why do I, oh, you're right.", "session_id": 21191, "sequence_id": 374, "annotations": []}
{"role": "volunteer", "content": "At the square, not square root, I went the opposite route.", "session_id": 21191, "sequence_id": 375, "annotations": []}
{"role": "volunteer", "content": "So it just becomes 1/81.", "session_id": 21191, "sequence_id": 376, "annotations": []}
{"role": "student", "content": "yeah'", "session_id": 21191, "sequence_id": 377, "annotations": []}
{"role": "volunteer", "content": "Hm", "session_id": 21191, "sequence_id": 378, "annotations": []}
{"role": "volunteer", "content": "She's like every instinct is telling me.", "session_id": 21191, "sequence_id": 379, "annotations": []}
{"role": "volunteer", "content": "Something's wrong.", "session_id": 21191, "sequence_id": 380, "annotations": []}
{"role": "volunteer", "content": "Or everything is right, but so we put we already tried 1/81.", "session_id": 21191, "sequence_id": 381, "annotations": []}
{"role": "volunteer", "content": "The only way that it would work.", "session_id": 21191, "sequence_id": 382, "annotations": []}
{"role": "volunteer", "content": "is if", "session_id": 21191, "sequence_id": 383, "annotations": []}
{"role": "volunteer", "content": "If we take a square root of 1/81.", "session_id": 21191, "sequence_id": 384, "annotations": []}
{"role": "volunteer", "content": "It's always gonna be positive unless", "session_id": 21191, "sequence_id": 385, "annotations": []}
{"role": "volunteer", "content": "This had an eye on it, but we can't.", "session_id": 21191, "sequence_id": 386, "annotations": []}
{"role": "volunteer", "content": "No, cause if you take the square root of -1/9", "session_id": 21191, "sequence_id": 387, "annotations": []}
{"role": "volunteer", "content": "That won't give you anything.", "session_id": 21191, "sequence_id": 388, "annotations": []}
{"role": "volunteer", "content": "It's like the square root or the square root.", "session_id": 21191, "sequence_id": 389, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 21191, "sequence_id": 390, "annotations": []}
{"role": "volunteer", "content": "I feel like I'd put", "session_id": 21191, "sequence_id": 391, "annotations": []}
{"role": "volunteer", "content": "It's one real route.", "session_id": 21191, "sequence_id": 392, "annotations": []}
{"role": "volunteer", "content": "Because math", "session_id": 21191, "sequence_id": 393, "annotations": []}
{"role": "volunteer", "content": "And leave it at that.", "session_id": 21191, "sequence_id": 394, "annotations": []}
{"role": "volunteer", "content": "Just throw my hands in the air.", "session_id": 21191, "sequence_id": 395, "annotations": []}
{"role": "student", "content": "what?", "session_id": 21191, "sequence_id": 396, "annotations": []}
{"role": "volunteer", "content": "Well, the second answer we found.", "session_id": 21191, "sequence_id": 397, "annotations": []}
{"role": "volunteer", "content": "1/81.", "session_id": 21191, "sequence_id": 398, "annotations": []}
{"role": "volunteer", "content": "Isn't a root, because it doesn't.", "session_id": 21191, "sequence_id": 399, "annotations": []}
{"role": "volunteer", "content": "Cause our function to go to zero.", "session_id": 21191, "sequence_id": 400, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 21191, "sequence_id": 401, "annotations": []}
{"role": "volunteer", "content": "By definition,", "session_id": 21191, "sequence_id": 402, "annotations": []}
{"role": "volunteer", "content": "A root causes of function to go to 0.", "session_id": 21191, "sequence_id": 403, "annotations": []}
{"role": "volunteer", "content": "Let's see the polynomial root theorem.", "session_id": 21191, "sequence_id": 404, "annotations": []}
{"role": "volunteer", "content": "They said a constraint, rational rational solutions or polynomial equation.", "session_id": 21191, "sequence_id": 405, "annotations": []}
{"role": "student", "content": "not always, right?", "session_id": 21191, "sequence_id": 406, "annotations": []}
{"role": "volunteer", "content": "The rational zero theorem is used to determine the rational routes.", "session_id": 21191, "sequence_id": 407, "annotations": []}
{"role": "volunteer", "content": "Huh? Not always.", "session_id": 21191, "sequence_id": 408, "annotations": []}
{"role": "student", "content": "a root doesn't necessarily always make equation 0", "session_id": 21191, "sequence_id": 409, "annotations": []}
{"role": "volunteer", "content": "A root doesn't necessarily always make.", "session_id": 21191, "sequence_id": 410, "annotations": []}
{"role": "volunteer", "content": "Equation 0", "session_id": 21191, "sequence_id": 411, "annotations": []}
{"role": "student", "content": "is that right?", "session_id": 21191, "sequence_id": 412, "annotations": []}
{"role": "volunteer", "content": "I feel like that goes against the very definition.", "session_id": 21191, "sequence_id": 413, "annotations": []}
{"role": "volunteer", "content": "Um, is you said determine the rational routes that you can't use a route to, you can't use a definition that", "session_id": 21191, "sequence_id": 414, "annotations": []}
{"role": "volunteer", "content": "Define it.", "session_id": 21191, "sequence_id": 415, "annotations": []}
{"role": "volunteer", "content": "All right. Or you can't use a term to define a term.", "session_id": 21191, "sequence_id": 416, "annotations": []}
{"role": "volunteer", "content": "like circular reasoning.", "session_id": 21191, "sequence_id": 417, "annotations": []}
{"role": "volunteer", "content": "OK, here we go. So here the values of x that satisfy the equation F X equals 0 are known as the roots.", "session_id": 21191, "sequence_id": 418, "annotations": []}
{"role": "volunteer", "content": "Or zeros of the polynomial.", "session_id": 21191, "sequence_id": 419, "annotations": []}
{"role": "volunteer", "content": "I, like, by definition, a root has to zero the function.", "session_id": 21191, "sequence_id": 420, "annotations": []}
{"role": "student", "content": "yeah,", "session_id": 21191, "sequence_id": 421, "annotations": []}
{"role": "volunteer", "content": "So if", "session_id": 21191, "sequence_id": 422, "annotations": []}
{"role": "volunteer", "content": "A solution we found.", "session_id": 21191, "sequence_id": 423, "annotations": []}
{"role": "volunteer", "content": "Does not cause it to zero, then", "session_id": 21191, "sequence_id": 424, "annotations": []}
{"role": "volunteer", "content": "It's not a root.", "session_id": 21191, "sequence_id": 425, "annotations": []}
{"role": "student", "content": "when c, we still have roots", "session_id": 21191, "sequence_id": 426, "annotations": []}
{"role": "student", "content": "but they don't satisfy the equation", "session_id": 21191, "sequence_id": 427, "annotations": []}
{"role": "volunteer", "content": "And see greater than 0, we still have roots, but they don't satisfy the equation.", "session_id": 21191, "sequence_id": 428, "annotations": []}
{"role": "volunteer", "content": "I see what you're saying.", "session_id": 21191, "sequence_id": 429, "annotations": []}
{"role": "volunteer", "content": "But remember, we said,", "session_id": 21191, "sequence_id": 430, "annotations": []}
{"role": "volunteer", "content": "I see, I see what you're saying. So, when you're basically going back to a definition that when A is greater than 0, or when A and C are the same sign.", "session_id": 21191, "sequence_id": 431, "annotations": []}
{"role": "volunteer", "content": "There are no, um,", "session_id": 21191, "sequence_id": 432, "annotations": []}
{"role": "volunteer", "content": "There are no roots.", "session_id": 21191, "sequence_id": 433, "annotations": []}
{"role": "student", "content": "yeah no real roots", "session_id": 21191, "sequence_id": 434, "annotations": []}
{"role": "volunteer", "content": "On the graph.", "session_id": 21191, "sequence_id": 435, "annotations": []}
{"role": "volunteer", "content": "Hmm.", "session_id": 21191, "sequence_id": 436, "annotations": []}
{"role": "volunteer", "content": "I can't help but think, um.", "session_id": 21191, "sequence_id": 437, "annotations": []}
{"role": "volunteer", "content": "I can't help but feel that's wrong.", "session_id": 21191, "sequence_id": 438, "annotations": []}
{"role": "volunteer", "content": "Cause you're right, graphing it, that comes true.", "session_id": 21191, "sequence_id": 439, "annotations": []}
{"role": "volunteer", "content": "But then,", "session_id": 21191, "sequence_id": 440, "annotations": []}
{"role": "volunteer", "content": "If we say X^2 plus.", "session_id": 21191, "sequence_id": 441, "annotations": []}
{"role": "volunteer", "content": "2 X", "session_id": 21191, "sequence_id": 442, "annotations": []}
{"role": "volunteer", "content": "Plus one", "session_id": 21191, "sequence_id": 443, "annotations": []}
{"role": "volunteer", "content": "Right, which is", "session_id": 21191, "sequence_id": 444, "annotations": []}
{"role": "volunteer", "content": "X + 1 squad.", "session_id": 21191, "sequence_id": 445, "annotations": []}
{"role": "volunteer", "content": "The route would be x equals -1 twice with a multiplicity of 2.", "session_id": 21191, "sequence_id": 446, "annotations": []}
{"role": "volunteer", "content": "This has a", "session_id": 21191, "sequence_id": 447, "annotations": []}
{"role": "volunteer", "content": "Um, it has a C value. Remember we said that C is not, um, strictly", "session_id": 21191, "sequence_id": 448, "annotations": []}
{"role": "volunteer", "content": "A vertical.", "session_id": 21191, "sequence_id": 449, "annotations": []}
{"role": "volunteer", "content": "What term shift.", "session_id": 21191, "sequence_id": 450, "annotations": []}
{"role": "volunteer", "content": "Um", "session_id": 21191, "sequence_id": 451, "annotations": []}
{"role": "volunteer", "content": "If we can", "session_id": 21191, "sequence_id": 452, "annotations": []}
{"role": "student", "content": "yes", "session_id": 21191, "sequence_id": 453, "annotations": []}
{"role": "volunteer", "content": "denigrate this back to", "session_id": 21191, "sequence_id": 454, "annotations": []}
{"role": "volunteer", "content": "Our, um,", "session_id": 21191, "sequence_id": 455, "annotations": []}
{"role": "volunteer", "content": "I feel like P and Q are in the same place. So this might have", "session_id": 21191, "sequence_id": 456, "annotations": []}
{"role": "volunteer", "content": "My example might have a intercept.", "session_id": 21191, "sequence_id": 457, "annotations": []}
{"role": "volunteer", "content": "Or, or the, I'm sorry, the", "session_id": 21191, "sequence_id": 458, "annotations": []}
{"role": "volunteer", "content": "What's the term", "session_id": 21191, "sequence_id": 459, "annotations": []}
{"role": "volunteer", "content": "My God, she's, it's only been a day and my mind has just completely gone off the rails.", "session_id": 21191, "sequence_id": 460, "annotations": []}
{"role": "volunteer", "content": "Um", "session_id": 21191, "sequence_id": 461, "annotations": []}
{"role": "student", "content": "vertex?", "session_id": 21191, "sequence_id": 462, "annotations": []}
{"role": "volunteer", "content": "Vertex, yes.", "session_id": 21191, "sequence_id": 463, "annotations": []}
{"role": "volunteer", "content": "Where is, uh, so I'm trying to look through my notes where we did all these derivations.", "session_id": 21191, "sequence_id": 464, "annotations": []}
{"role": "volunteer", "content": "We said that", "session_id": 21191, "sequence_id": 465, "annotations": []}
{"role": "volunteer", "content": "So B is equal to -2AH.", "session_id": 21191, "sequence_id": 466, "annotations": []}
{"role": "volunteer", "content": "So be would be", "session_id": 21191, "sequence_id": 467, "annotations": []}
{"role": "volunteer", "content": "Well, let's apply it to our original expression.", "session_id": 21191, "sequence_id": 468, "annotations": []}
{"role": "volunteer", "content": "9", "session_id": 21191, "sequence_id": 469, "annotations": []}
{"role": "volunteer", "content": "Um, I guess I'll keep it Y. 9 z minus 8 Y minus 1.", "session_id": 21191, "sequence_id": 470, "annotations": []}
{"role": "volunteer", "content": "So if we solve for age,", "session_id": 21191, "sequence_id": 471, "annotations": []}
{"role": "volunteer", "content": "For the horizontal.", "session_id": 21191, "sequence_id": 472, "annotations": []}
{"role": "volunteer", "content": "My goodness, my brain is horizontal ****, the horizontal shift of the vertex.", "session_id": 21191, "sequence_id": 473, "annotations": []}
{"role": "volunteer", "content": "We get", "session_id": 21191, "sequence_id": 474, "annotations": []}
{"role": "volunteer", "content": "Wow, I'm getting, I'm getting flagged for words like shift.", "session_id": 21191, "sequence_id": 475, "annotations": []}
{"role": "volunteer", "content": "And", "session_id": 21191, "sequence_id": 476, "annotations": []}
{"role": "volunteer", "content": "Asympto", "session_id": 21191, "sequence_id": 477, "annotations": []}
{"role": "volunteer", "content": "Apparently, I'm pronouncing them too close to bad language. I'd be very mindful of that.", "session_id": 21191, "sequence_id": 478, "annotations": []}
{"role": "volunteer", "content": "K + AH squared is equal to.", "session_id": 21191, "sequence_id": 479, "annotations": []}
{"role": "volunteer", "content": "C minus A H 2.", "session_id": 21191, "sequence_id": 480, "annotations": []}
{"role": "volunteer", "content": "Rather than me calculating, I'm just gonna throw it up on Desmos. This is.", "session_id": 21191, "sequence_id": 481, "annotations": []}
{"role": "volunteer", "content": "My mind is not.", "session_id": 21191, "sequence_id": 482, "annotations": []}
{"role": "student", "content": "can we consider 1/81 as complex root?", "session_id": 21191, "sequence_id": 483, "annotations": []}
{"role": "volunteer", "content": "Sharp is it was yesterday.", "session_id": 21191, "sequence_id": 484, "annotations": []}
{"role": "volunteer", "content": "All right, so I'll do both forms. So 9 X squared.", "session_id": 21191, "sequence_id": 485, "annotations": []}
{"role": "volunteer", "content": "Minus 8 X minus 1.", "session_id": 21191, "sequence_id": 486, "annotations": []}
{"role": "volunteer", "content": "OK. So we see,", "session_id": 21191, "sequence_id": 487, "annotations": []}
{"role": "volunteer", "content": "We have", "session_id": 21191, "sequence_id": 488, "annotations": []}
{"role": "volunteer", "content": "Two intercepts.", "session_id": 21191, "sequence_id": 489, "annotations": []}
{"role": "volunteer", "content": "We got one at one.", "session_id": 21191, "sequence_id": 490, "annotations": []}
{"role": "volunteer", "content": "And", "session_id": 21191, "sequence_id": 491, "annotations": []}
{"role": "volunteer", "content": "One at -1 over 9, so we're right on that.", "session_id": 21191, "sequence_id": 492, "annotations": []}
{"role": "volunteer", "content": "Mm", "session_id": 21191, "sequence_id": 493, "annotations": []}
{"role": "volunteer", "content": "So let's try 9 X minus.", "session_id": 21191, "sequence_id": 494, "annotations": []}
{"role": "volunteer", "content": "E. Where's my square root?", "session_id": 21191, "sequence_id": 495, "annotations": []}
{"role": "volunteer", "content": "X", "session_id": 21191, "sequence_id": 496, "annotations": []}
{"role": "volunteer", "content": "-1.", "session_id": 21191, "sequence_id": 497, "annotations": []}
{"role": "volunteer", "content": "There it is.", "session_id": 21191, "sequence_id": 498, "annotations": []}
{"role": "volunteer", "content": "Because of the square root,", "session_id": 21191, "sequence_id": 499, "annotations": []}
{"role": "volunteer", "content": "Um, the function doesn't exist.", "session_id": 21191, "sequence_id": 500, "annotations": []}
{"role": "volunteer", "content": "Uh", "session_id": 21191, "sequence_id": 501, "annotations": []}
{"role": "volunteer", "content": "When X is less than 0.", "session_id": 21191, "sequence_id": 502, "annotations": []}
{"role": "volunteer", "content": "I knew something was different.", "session_id": 21191, "sequence_id": 503, "annotations": []}
{"role": "volunteer", "content": "Even veers off differently, look at that behavior.", "session_id": 21191, "sequence_id": 504, "annotations": []}
{"role": "volunteer", "content": "Wow.", "session_id": 21191, "sequence_id": 505, "annotations": []}
{"role": "volunteer", "content": "OK.", "session_id": 21191, "sequence_id": 506, "annotations": []}
{"role": "volunteer", "content": "As a as a smaller", "session_id": 21191, "sequence_id": 507, "annotations": []}
{"role": "volunteer", "content": "Um, slope doesn't explode. It's not as narrow, it's wider.", "session_id": 21191, "sequence_id": 508, "annotations": []}
{"role": "volunteer", "content": "we consider 1/81 as complex root.", "session_id": 21191, "sequence_id": 509, "annotations": []}
{"role": "volunteer", "content": "I want to say yes.", "session_id": 21191, "sequence_id": 510, "annotations": []}
{"role": "volunteer", "content": "I feel like part of me wants to say yes.", "session_id": 21191, "sequence_id": 511, "annotations": []}
{"role": "student", "content": "because it exist as a root but does't satisfy the equation", "session_id": 21191, "sequence_id": 512, "annotations": []}
{"role": "volunteer", "content": "I feel like this left hand side.", "session_id": 21191, "sequence_id": 513, "annotations": []}
{"role": "volunteer", "content": "Because it exists as x < 0 doesn't satisfy the equation. Yeah, I feel like the when X is less than 0.", "session_id": 21191, "sequence_id": 514, "annotations": []}
{"role": "volunteer", "content": "Um", "session_id": 21191, "sequence_id": 515, "annotations": []}
{"role": "volunteer", "content": "It only exists in the complex plane.", "session_id": 21191, "sequence_id": 516, "annotations": []}
{"role": "volunteer", "content": "Because we would by definition include I.", "session_id": 21191, "sequence_id": 517, "annotations": []}
{"role": "volunteer", "content": "Because we have that square root of X.", "session_id": 21191, "sequence_id": 518, "annotations": []}
{"role": "volunteer", "content": "So when Xs say,", "session_id": 21191, "sequence_id": 519, "annotations": []}
{"role": "volunteer", "content": "equal to -1.", "session_id": 21191, "sequence_id": 520, "annotations": []}
{"role": "volunteer", "content": "You'd have", "session_id": 21191, "sequence_id": 521, "annotations": []}
{"role": "volunteer", "content": "9 times -1 to be -9 minus 8 times I.", "session_id": 21191, "sequence_id": 522, "annotations": []}
{"role": "volunteer", "content": "-1", "session_id": 21191, "sequence_id": 523, "annotations": []}
{"role": "volunteer", "content": "So you have like -10.", "session_id": 21191, "sequence_id": 524, "annotations": []}
{"role": "volunteer", "content": "Minus 8 I.", "session_id": 21191, "sequence_id": 525, "annotations": []}
{"role": "volunteer", "content": "Yeah, I think this does only have one real root, which is an integer.", "session_id": 21191, "sequence_id": 526, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 21191, "sequence_id": 527, "annotations": []}
{"role": "volunteer", "content": "It is B", "session_id": 21191, "sequence_id": 528, "annotations": []}
{"role": "volunteer", "content": "Man, this is annoying. Why can I not understand this unless I grafted it.", "session_id": 21191, "sequence_id": 529, "annotations": []}
{"role": "volunteer", "content": "A square root threw me off.", "session_id": 21191, "sequence_id": 530, "annotations": []}
{"role": "volunteer", "content": "Oh, and the behavior is different because", "session_id": 21191, "sequence_id": 531, "annotations": []}
{"role": "volunteer", "content": "It's a line. It's supposed to be a line.", "session_id": 21191, "sequence_id": 532, "annotations": []}
{"role": "volunteer", "content": "Because 9 X.", "session_id": 21191, "sequence_id": 533, "annotations": []}
{"role": "volunteer", "content": "It's supposed to be alive, but the square root behavior.", "session_id": 21191, "sequence_id": 534, "annotations": []}
{"role": "volunteer", "content": "try value. If X is equal to 0.5.", "session_id": 21191, "sequence_id": 535, "annotations": []}
{"role": "volunteer", "content": "Let's say 0.25.", "session_id": 21191, "sequence_id": 536, "annotations": []}
{"role": "volunteer", "content": "Then you have", "session_id": 21191, "sequence_id": 537, "annotations": []}
{"role": "volunteer", "content": "9 times 0.25, which is 1.5. No.", "session_id": 21191, "sequence_id": 538, "annotations": []}
{"role": "volunteer", "content": "It", "session_id": 21191, "sequence_id": 539, "annotations": []}
{"role": "volunteer", "content": "2.25.", "session_id": 21191, "sequence_id": 540, "annotations": []}
{"role": "volunteer", "content": "Minus", "session_id": 21191, "sequence_id": 541, "annotations": []}
{"role": "volunteer", "content": "8 times 0.5, which is 4. OK, so that is negative.", "session_id": 21191, "sequence_id": 542, "annotations": []}
{"role": "volunteer", "content": "Hm", "session_id": 21191, "sequence_id": 543, "annotations": []}
{"role": "volunteer", "content": "That's so weird, that a square root can override a line.", "session_id": 21191, "sequence_id": 544, "annotations": []}
{"role": "volunteer", "content": "So much", "session_id": 21191, "sequence_id": 545, "annotations": []}
{"role": "volunteer", "content": "To dictate his behavior like this.", "session_id": 21191, "sequence_id": 546, "annotations": []}
{"role": "volunteer", "content": "It's basically linear.", "session_id": 21191, "sequence_id": 547, "annotations": []}
{"role": "volunteer", "content": "Yeah, with a climb of 15 to 80.", "session_id": 21191, "sequence_id": 548, "annotations": []}
{"role": "volunteer", "content": "16/1.", "session_id": 21191, "sequence_id": 549, "annotations": []}
{"role": "student", "content": "is it necessary when x < 0, it goes in complex plain? becuz there are so many instance when w and it satisfy the equation too", "session_id": 21191, "sequence_id": 550, "annotations": []}
{"role": "volunteer", "content": "Yeah, it's pretty consistent climb.", "session_id": 21191, "sequence_id": 551, "annotations": []}
{"role": "volunteer", "content": "Once we get past a certain point, it just becomes a line. I think once we get past one.", "session_id": 21191, "sequence_id": 552, "annotations": []}
{"role": "volunteer", "content": "It just becomes alive. Is it this?", "session_id": 21191, "sequence_id": 553, "annotations": []}
{"role": "volunteer", "content": "This is annoying. I can't hear when you", "session_id": 21191, "sequence_id": 554, "annotations": []}
{"role": "volunteer", "content": "Type in the chat, it should notify me with like a noise, but I don't get it. I keep", "session_id": 21191, "sequence_id": 555, "annotations": []}
{"role": "volunteer", "content": "Missing when you type in.", "session_id": 21191, "sequence_id": 556, "annotations": []}
{"role": "volunteer", "content": "Do you mean when X is less than 0?", "session_id": 21191, "sequence_id": 557, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 21191, "sequence_id": 558, "annotations": []}
{"role": "volunteer", "content": "Not when X is greater than 0.", "session_id": 21191, "sequence_id": 559, "annotations": []}
{"role": "volunteer", "content": "OK.", "session_id": 21191, "sequence_id": 560, "annotations": []}
{"role": "volunteer", "content": "I mean", "session_id": 21191, "sequence_id": 561, "annotations": []}
{"role": "student", "content": "x < 0", "session_id": 21191, "sequence_id": 562, "annotations": []}
{"role": "volunteer", "content": "Yeah, I mean that by like by definition, unless you had um the square root of the absolute value.", "session_id": 21191, "sequence_id": 563, "annotations": []}
{"role": "volunteer", "content": "Then you, we would have, um,", "session_id": 21191, "sequence_id": 564, "annotations": []}
{"role": "volunteer", "content": "Then we'll be able to define it when X is less than 0.", "session_id": 21191, "sequence_id": 565, "annotations": []}
{"role": "volunteer", "content": "But as soon as we", "session_id": 21191, "sequence_id": 566, "annotations": []}
{"role": "volunteer", "content": "But as soon as we try to go,", "session_id": 21191, "sequence_id": 567, "annotations": []}
{"role": "volunteer", "content": "With a negative X, it immediately turns complex.", "session_id": 21191, "sequence_id": 568, "annotations": []}
{"role": "student", "content": "how does it immediatey turn complex at -x?", "session_id": 21191, "sequence_id": 569, "annotations": []}
{"role": "volunteer", "content": "Because the function, uh, sorry, go ahead, ask your question.", "session_id": 21191, "sequence_id": 570, "annotations": []}
{"role": "student", "content": "is this x root?", "session_id": 21191, "sequence_id": 571, "annotations": []}
{"role": "volunteer", "content": "Well,", "session_id": 21191, "sequence_id": 572, "annotations": []}
{"role": "volunteer", "content": "Let's give an example. Try using X is equal to.", "session_id": 21191, "sequence_id": 573, "annotations": []}
{"role": "volunteer", "content": "Negative", "session_id": 21191, "sequence_id": 574, "annotations": []}
{"role": "volunteer", "content": "Um, 0.25.", "session_id": 21191, "sequence_id": 575, "annotations": []}
{"role": "volunteer", "content": "Right? And solve that into your", "session_id": 21191, "sequence_id": 576, "annotations": []}
{"role": "volunteer", "content": "Um, G of X.", "session_id": 21191, "sequence_id": 577, "annotations": []}
{"role": "volunteer", "content": "I had to clear the board.", "session_id": 21191, "sequence_id": 578, "annotations": []}
{"role": "volunteer", "content": "All your wonderful work unfortunately, has to.", "session_id": 21191, "sequence_id": 579, "annotations": []}
{"role": "volunteer", "content": "pay the piper.", "session_id": 21191, "sequence_id": 580, "annotations": []}
{"role": "student", "content": "i can solve on my notebook", "session_id": 21191, "sequence_id": 581, "annotations": []}
{"role": "volunteer", "content": "OK. So try solving, um, the 9 X minus 8 square root of x.", "session_id": 21191, "sequence_id": 582, "annotations": []}
{"role": "volunteer", "content": "Um, minus 1 when X is equal to -0.25.", "session_id": 21191, "sequence_id": 583, "annotations": []}
{"role": "student", "content": "when i put x=-0.25 in g(x)", "session_id": 21191, "sequence_id": 584, "annotations": []}
{"role": "student", "content": "it gives -16", "session_id": 21191, "sequence_id": 585, "annotations": []}
{"role": "volunteer", "content": "Did you solve it on your calculator?", "session_id": 21191, "sequence_id": 586, "annotations": []}
{"role": "volunteer", "content": "Or did you solve it by hand?", "session_id": 21191, "sequence_id": 587, "annotations": []}
{"role": "student", "content": "calculator", "session_id": 21191, "sequence_id": 588, "annotations": []}
{"role": "volunteer", "content": "That doesn't seem right.", "session_id": 21191, "sequence_id": 589, "annotations": []}
{"role": "volunteer", "content": "Did, you're not doing square, you're not doing y squad, are you?", "session_id": 21191, "sequence_id": 590, "annotations": []}
{"role": "student", "content": "no", "session_id": 21191, "sequence_id": 591, "annotations": []}
{"role": "volunteer", "content": "Cause you should get 5 minus 4 I.", "session_id": 21191, "sequence_id": 592, "annotations": []}
{"role": "student", "content": "oh wait.", "session_id": 21191, "sequence_id": 593, "annotations": []}
{"role": "student", "content": "no, my g(x) = 9x^x - 82x - 1", "session_id": 21191, "sequence_id": 594, "annotations": []}
{"role": "volunteer", "content": "Right, that's not the right equation, your G of X should be 9 X.", "session_id": 21191, "sequence_id": 595, "annotations": []}
{"role": "volunteer", "content": "Wait, X to the X?", "session_id": 21191, "sequence_id": 596, "annotations": []}
{"role": "volunteer", "content": "To be next to a second. Anyway,", "session_id": 21191, "sequence_id": 597, "annotations": []}
{"role": "student", "content": "sorry 9x^2", "session_id": 21191, "sequence_id": 598, "annotations": []}
{"role": "volunteer", "content": "Your GMX should be 9 x minus 8 square root x minus 1.", "session_id": 21191, "sequence_id": 599, "annotations": []}
{"role": "student", "content": "yeah,", "session_id": 21191, "sequence_id": 600, "annotations": []}
{"role": "volunteer", "content": "But you have no square root X in your", "session_id": 21191, "sequence_id": 601, "annotations": []}
{"role": "volunteer", "content": "Oh, I see what you said 82 X.", "session_id": 21191, "sequence_id": 602, "annotations": []}
{"role": "volunteer", "content": "Your terms are way off. How do you have an X 2 in a square to x.", "session_id": 21191, "sequence_id": 603, "annotations": []}
{"role": "volunteer", "content": "I am baffled. I have no idea where you got -16.", "session_id": 21191, "sequence_id": 604, "annotations": []}
{"role": "volunteer", "content": "Can you do your work on the board. Let me, um,", "session_id": 21191, "sequence_id": 605, "annotations": []}
{"role": "volunteer", "content": "Mm", "session_id": 21191, "sequence_id": 606, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 21191, "sequence_id": 607, "annotations": []}
{"role": "volunteer", "content": "Make some space unless you want to do it for me.", "session_id": 21191, "sequence_id": 608, "annotations": []}
{"role": "volunteer", "content": "To my work in the years up there.", "session_id": 21191, "sequence_id": 609, "annotations": []}
{"role": "student", "content": "do i erase work from the board", "session_id": 21191, "sequence_id": 610, "annotations": []}
{"role": "volunteer", "content": "Sure.", "session_id": 21191, "sequence_id": 611, "annotations": []}
{"role": "volunteer", "content": "I'm already working on it.", "session_id": 21191, "sequence_id": 612, "annotations": []}
{"role": "student", "content": "ok then", "session_id": 21191, "sequence_id": 613, "annotations": []}
{"role": "volunteer", "content": "Um", "session_id": 21191, "sequence_id": 614, "annotations": []}
{"role": "volunteer", "content": "I made some room close to the bottom.", "session_id": 21191, "sequence_id": 615, "annotations": []}
{"role": "volunteer", "content": "Where I started working.", "session_id": 21191, "sequence_id": 616, "annotations": []}
{"role": "student", "content": "yes, I see it", "session_id": 21191, "sequence_id": 617, "annotations": []}
{"role": "volunteer", "content": "Oops.", "session_id": 21191, "sequence_id": 618, "annotations": []}
{"role": "volunteer", "content": "Why are you doing all this algebra again?", "session_id": 21191, "sequence_id": 619, "annotations": []}
{"role": "volunteer", "content": "Are we not just plugging in", "session_id": 21191, "sequence_id": 620, "annotations": []}
{"role": "volunteer", "content": "X is equal to", "session_id": 21191, "sequence_id": 621, "annotations": []}
{"role": "volunteer", "content": "0.25.", "session_id": 21191, "sequence_id": 622, "annotations": []}
{"role": "volunteer", "content": "To our original expression g(x) to see if what happens when X is less than 0.", "session_id": 21191, "sequence_id": 623, "annotations": []}
{"role": "student", "content": "I thought, let's make sqr root dissappear then, plug in x value.", "session_id": 21191, "sequence_id": 624, "annotations": []}
{"role": "student", "content": "I think i did it wrong", "session_id": 21191, "sequence_id": 625, "annotations": []}
{"role": "volunteer", "content": "Yeah, cause if you get rid of the square root, then yeah, obviously you're, you're gonna be able to define um when is less than 0, but that's not original expression. Now you're manipulating it, um.", "session_id": 21191, "sequence_id": 626, "annotations": []}
{"role": "volunteer", "content": "But that's not the original expression.", "session_id": 21191, "sequence_id": 627, "annotations": []}
{"role": "volunteer", "content": "That's the same as saying,", "session_id": 21191, "sequence_id": 628, "annotations": []}
{"role": "volunteer", "content": "Um", "session_id": 21191, "sequence_id": 629, "annotations": []}
{"role": "volunteer", "content": "If we look at the", "session_id": 21191, "sequence_id": 630, "annotations": []}
{"role": "volunteer", "content": "If we look at X + 2.", "session_id": 21191, "sequence_id": 631, "annotations": []}
{"role": "volunteer", "content": "Well let's go with X minus 2.", "session_id": 21191, "sequence_id": 632, "annotations": []}
{"role": "volunteer", "content": "Over X^2 minus 4.", "session_id": 21191, "sequence_id": 633, "annotations": []}
{"role": "volunteer", "content": "Right? And we know there are asymptotes that X cannot equal.", "session_id": 21191, "sequence_id": 634, "annotations": []}
{"role": "volunteer", "content": "Negative.", "session_id": 21191, "sequence_id": 635, "annotations": []}
{"role": "volunteer", "content": "Um", "session_id": 21191, "sequence_id": 636, "annotations": []}
{"role": "volunteer", "content": "Actually, let me rewrite that. It should be.", "session_id": 21191, "sequence_id": 637, "annotations": []}
{"role": "volunteer", "content": "The other way around.", "session_id": 21191, "sequence_id": 638, "annotations": []}
{"role": "volunteer", "content": "If we had y minus 4 over X minus 2.", "session_id": 21191, "sequence_id": 639, "annotations": []}
{"role": "volunteer", "content": "Right?", "session_id": 21191, "sequence_id": 640, "annotations": []}
{"role": "volunteer", "content": "Now, in this expression,", "session_id": 21191, "sequence_id": 641, "annotations": []}
{"role": "volunteer", "content": "We have an asymptote ver vertical as until X is equal to 2, right? Cause at that point,", "session_id": 21191, "sequence_id": 642, "annotations": []}
{"role": "volunteer", "content": "It becomes undefined.", "session_id": 21191, "sequence_id": 643, "annotations": []}
{"role": "volunteer", "content": "You with me?", "session_id": 21191, "sequence_id": 644, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 21191, "sequence_id": 645, "annotations": []}
{"role": "student", "content": "right", "session_id": 21191, "sequence_id": 646, "annotations": []}
{"role": "volunteer", "content": "OK, but what happens when we do geometry, when we do algebra and we factor out X + 2.", "session_id": 21191, "sequence_id": 647, "annotations": []}
{"role": "volunteer", "content": "X minus 2 in the numerator.", "session_id": 21191, "sequence_id": 648, "annotations": []}
{"role": "volunteer", "content": "Over X minus 2, and we cancel out, then that just becomes X + 2.", "session_id": 21191, "sequence_id": 649, "annotations": []}
{"role": "volunteer", "content": "Now, the point is, is, is X is the graph of x + 2 the same.", "session_id": 21191, "sequence_id": 650, "annotations": []}
{"role": "volunteer", "content": "As these two are they interchangeable.", "session_id": 21191, "sequence_id": 651, "annotations": []}
{"role": "volunteer", "content": "And I would say, sorry, go ahead.", "session_id": 21191, "sequence_id": 652, "annotations": []}
{"role": "volunteer", "content": "What do you think?", "session_id": 21191, "sequence_id": 653, "annotations": []}
{"role": "student", "content": "they are same", "session_id": 21191, "sequence_id": 654, "annotations": []}
{"role": "student", "content": "same graphs", "session_id": 21191, "sequence_id": 655, "annotations": []}
{"role": "volunteer", "content": "They're the same? OK, good.", "session_id": 21191, "sequence_id": 656, "annotations": []}
{"role": "volunteer", "content": "Let's", "session_id": 21191, "sequence_id": 657, "annotations": []}
{"role": "volunteer", "content": "See if that's true.", "session_id": 21191, "sequence_id": 658, "annotations": []}
{"role": "volunteer", "content": "Uh, I'll leave this up here. Let's go with simple one X + 2, right? Just mine.", "session_id": 21191, "sequence_id": 659, "annotations": []}
{"role": "volunteer", "content": "Now, let's try. X to the 2nd.", "session_id": 21191, "sequence_id": 660, "annotations": []}
{"role": "volunteer", "content": "-4.", "session_id": 21191, "sequence_id": 661, "annotations": []}
{"role": "volunteer", "content": "Divided by X minus 2.", "session_id": 21191, "sequence_id": 662, "annotations": []}
{"role": "volunteer", "content": "They are", "session_id": 21191, "sequence_id": 663, "annotations": []}
{"role": "volunteer", "content": "The same.", "session_id": 21191, "sequence_id": 664, "annotations": []}
{"role": "volunteer", "content": "Yeah, so they are the same. It's the same. So it's the, huh, it's defined at", "session_id": 21191, "sequence_id": 665, "annotations": []}
{"role": "volunteer", "content": "I go too.", "session_id": 21191, "sequence_id": 666, "annotations": []}
{"role": "volunteer", "content": "Interesting.", "session_id": 21191, "sequence_id": 667, "annotations": []}
{"role": "volunteer", "content": "But then why are", "session_id": 21191, "sequence_id": 668, "annotations": []}
{"role": "volunteer", "content": "So that makes sense, I guess. It's the same expression, but then,", "session_id": 21191, "sequence_id": 669, "annotations": []}
{"role": "volunteer", "content": "Our original expression is, if we consider the two expressions, these have different", "session_id": 21191, "sequence_id": 670, "annotations": []}
{"role": "volunteer", "content": "Values", "session_id": 21191, "sequence_id": 671, "annotations": []}
{"role": "volunteer", "content": "9 X word. Oh, it's because of the", "session_id": 21191, "sequence_id": 672, "annotations": []}
{"role": "volunteer", "content": "Um, let me try this. If I change my coefficients to 81.", "session_id": 21191, "sequence_id": 673, "annotations": []}
{"role": "volunteer", "content": "And 64.", "session_id": 21191, "sequence_id": 674, "annotations": []}
{"role": "volunteer", "content": "This set out to be plus one?", "session_id": 21191, "sequence_id": 675, "annotations": []}
{"role": "student", "content": "-82x", "session_id": 21191, "sequence_id": 676, "annotations": []}
{"role": "volunteer", "content": "Let's try plus one. Yeah, no.", "session_id": 21191, "sequence_id": 677, "annotations": []}
{"role": "volunteer", "content": "One.", "session_id": 21191, "sequence_id": 678, "annotations": []}
{"role": "volunteer", "content": "Yeah, no, still not the same.", "session_id": 21191, "sequence_id": 679, "annotations": []}
{"role": "volunteer", "content": "Where did you get? You ended up getting 81.", "session_id": 21191, "sequence_id": 680, "annotations": []}
{"role": "volunteer", "content": "Thanks", "session_id": 21191, "sequence_id": 681, "annotations": []}
{"role": "volunteer", "content": "Let me see 2 weeks.", "session_id": 21191, "sequence_id": 682, "annotations": []}
{"role": "volunteer", "content": "I see.", "session_id": 21191, "sequence_id": 683, "annotations": []}
{"role": "volunteer", "content": "81 X^2 minus 82 x + 1.", "session_id": 21191, "sequence_id": 684, "annotations": []}
{"role": "volunteer", "content": "So it is plus one.", "session_id": 21191, "sequence_id": 685, "annotations": []}
{"role": "volunteer", "content": "But you're saying", "session_id": 21191, "sequence_id": 686, "annotations": []}
{"role": "volunteer", "content": "82.", "session_id": 21191, "sequence_id": 687, "annotations": []}
{"role": "volunteer", "content": "I mean, it has the same", "session_id": 21191, "sequence_id": 688, "annotations": []}
{"role": "volunteer", "content": "Doesn't behave the same.", "session_id": 21191, "sequence_id": 689, "annotations": []}
{"role": "volunteer", "content": "Um, continue, sorry, continue doing your", "session_id": 21191, "sequence_id": 690, "annotations": []}
{"role": "volunteer", "content": "I know you did it earlier. Did I delete it?", "session_id": 21191, "sequence_id": 691, "annotations": []}
{"role": "volunteer", "content": "Now you did up here.", "session_id": 21191, "sequence_id": 692, "annotations": []}
{"role": "volunteer", "content": "You had 81 x minus 1 times X minus 1. Let's try that.", "session_id": 21191, "sequence_id": 693, "annotations": []}
{"role": "student", "content": "no, it's correct", "session_id": 21191, "sequence_id": 694, "annotations": []}
{"role": "volunteer", "content": "81 X minus 1 times X minus 1.", "session_id": 21191, "sequence_id": 695, "annotations": []}
{"role": "volunteer", "content": "Yeah.", "session_id": 21191, "sequence_id": 696, "annotations": []}
{"role": "volunteer", "content": "Those aren't the same.", "session_id": 21191, "sequence_id": 697, "annotations": []}
{"role": "volunteer", "content": "Oh, I'm sorry, I didn't show you the graph.", "session_id": 21191, "sequence_id": 698, "annotations": []}
{"role": "volunteer", "content": "But we see we get um you can't tell, but they're the red graph, the original 81 a minus 82 + 1.", "session_id": 21191, "sequence_id": 699, "annotations": []}
{"role": "volunteer", "content": "They're, they're both the same, these two expressions when it's factored. But you see, you still don't get the same behavior that you do with our G of X.", "session_id": 21191, "sequence_id": 700, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 21191, "sequence_id": 701, "annotations": []}
{"role": "volunteer", "content": "This is like this black or the equation you're finding is G of X^2.", "session_id": 21191, "sequence_id": 702, "annotations": []}
{"role": "volunteer", "content": "So what if we took", "session_id": 21191, "sequence_id": 703, "annotations": []}
{"role": "volunteer", "content": "The", "session_id": 21191, "sequence_id": 704, "annotations": []}
{"role": "volunteer", "content": "Square root of this whole thing.", "session_id": 21191, "sequence_id": 705, "annotations": []}
{"role": "volunteer", "content": "Uh.", "session_id": 21191, "sequence_id": 706, "annotations": []}
{"role": "volunteer", "content": "Would you look at that.", "session_id": 21191, "sequence_id": 707, "annotations": []}
{"role": "student", "content": "it's different from g(x)\\", "session_id": 21191, "sequence_id": 708, "annotations": []}
{"role": "volunteer", "content": "Let me try.", "session_id": 21191, "sequence_id": 709, "annotations": []}
{"role": "volunteer", "content": "It's diff you're saying it's different, so let's try the negative. If I have to include.", "session_id": 21191, "sequence_id": 710, "annotations": []}
{"role": "volunteer", "content": "A go though, huh, there it is.", "session_id": 21191, "sequence_id": 711, "annotations": []}
{"role": "volunteer", "content": "Just as drastic squares it.", "session_id": 21191, "sequence_id": 712, "annotations": []}
{"role": "volunteer", "content": "It's different from GOX.", "session_id": 21191, "sequence_id": 713, "annotations": []}
{"role": "volunteer", "content": "But you're taking your GFX.", "session_id": 21191, "sequence_id": 714, "annotations": []}
{"role": "volunteer", "content": "Um", "session_id": 21191, "sequence_id": 715, "annotations": []}
{"role": "volunteer", "content": "And at some point you're squaring the whole equation.", "session_id": 21191, "sequence_id": 716, "annotations": []}
{"role": "volunteer", "content": "Oh, you're saying you specifically define G of X is equal to 0.", "session_id": 21191, "sequence_id": 717, "annotations": []}
{"role": "volunteer", "content": "And then squared it. So only at x equals 0 with this.", "session_id": 21191, "sequence_id": 718, "annotations": []}
{"role": "volunteer", "content": "Expression hold.", "session_id": 21191, "sequence_id": 719, "annotations": []}
{"role": "volunteer", "content": "81 X minus 1 times X minus 1.", "session_id": 21191, "sequence_id": 720, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 21191, "sequence_id": 721, "annotations": []}
{"role": "volunteer", "content": "in the function, when the function is equal to 0.", "session_id": 21191, "sequence_id": 722, "annotations": []}
{"role": "volunteer", "content": "Oh, basically the X intercepts.", "session_id": 21191, "sequence_id": 723, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 21191, "sequence_id": 724, "annotations": []}
{"role": "student", "content": "yes", "session_id": 21191, "sequence_id": 725, "annotations": []}
{"role": "volunteer", "content": "Damn, you're outsmarting me.", "session_id": 21191, "sequence_id": 726, "annotations": []}
{"role": "volunteer", "content": "Hm", "session_id": 21191, "sequence_id": 727, "annotations": []}
{"role": "volunteer", "content": "Oops did not curse. I said dang.", "session_id": 21191, "sequence_id": 728, "annotations": []}
{"role": "volunteer", "content": "I apologize.", "session_id": 21191, "sequence_id": 729, "annotations": []}
{"role": "volunteer", "content": "I can use.", "session_id": 21191, "sequence_id": 730, "annotations": []}
{"role": "student", "content": "I thought you knew it.", "session_id": 21191, "sequence_id": 731, "annotations": []}
{"role": "student", "content": "therfore i didn't mention it", "session_id": 21191, "sequence_id": 732, "annotations": []}
{"role": "volunteer", "content": "I think I got confused because I was graphing um", "session_id": 21191, "sequence_id": 733, "annotations": []}
{"role": "volunteer", "content": "G of Y, which was", "session_id": 21191, "sequence_id": 734, "annotations": []}
{"role": "volunteer", "content": "Basically where Y is equal, where X is equal to k.", "session_id": 21191, "sequence_id": 735, "annotations": []}
{"role": "volunteer", "content": "So my coefficients were the exact same as G of X.", "session_id": 21191, "sequence_id": 736, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 21191, "sequence_id": 737, "annotations": []}
{"role": "volunteer", "content": "Hm", "session_id": 21191, "sequence_id": 738, "annotations": []}
{"role": "volunteer", "content": "Yeah, still.", "session_id": 21191, "sequence_id": 739, "annotations": []}
{"role": "volunteer", "content": "But I still believe", "session_id": 21191, "sequence_id": 740, "annotations": []}
{"role": "volunteer", "content": "That", "session_id": 21191, "sequence_id": 741, "annotations": []}
{"role": "volunteer", "content": "The function G oh, what just happened?", "session_id": 21191, "sequence_id": 742, "annotations": []}
{"role": "volunteer", "content": "Sorry, Sam.", "session_id": 21191, "sequence_id": 743, "annotations": [{"pii_type": "PERSON", "surrogate": "Sam", "start": 7, "end": 10}]}
{"role": "volunteer", "content": "To be relaxed for a second.", "session_id": 21191, "sequence_id": 744, "annotations": []}
{"role": "volunteer", "content": "Um,", "session_id": 21191, "sequence_id": 745, "annotations": []}
{"role": "volunteer", "content": "I still think", "session_id": 21191, "sequence_id": 746, "annotations": []}
{"role": "volunteer", "content": "I still think because of this square root of X.", "session_id": 21191, "sequence_id": 747, "annotations": []}
{"role": "volunteer", "content": "That", "session_id": 21191, "sequence_id": 748, "annotations": []}
{"role": "volunteer", "content": "X has to be positive. It can't be negative.", "session_id": 21191, "sequence_id": 749, "annotations": []}
{"role": "volunteer", "content": "Even if, cause if you have to, if you have to manipulate it.", "session_id": 21191, "sequence_id": 750, "annotations": []}
{"role": "volunteer", "content": "Well", "session_id": 21191, "sequence_id": 751, "annotations": []}
{"role": "volunteer", "content": "Uh, I guess even if you manipulate it because the parabola is still a parabola, right? A function is still a function even if it's just a different form or you.", "session_id": 21191, "sequence_id": 752, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 21191, "sequence_id": 753, "annotations": []}
{"role": "student", "content": "it won't change", "session_id": 21191, "sequence_id": 754, "annotations": []}
{"role": "volunteer", "content": "Still, though,", "session_id": 21191, "sequence_id": 755, "annotations": []}
{"role": "volunteer", "content": "Um, if we look at the answers,", "session_id": 21191, "sequence_id": 756, "annotations": []}
{"role": "volunteer", "content": "They're specifying integers.", "session_id": 21191, "sequence_id": 757, "annotations": []}
{"role": "volunteer", "content": "So we focus on that. How does that change?", "session_id": 21191, "sequence_id": 758, "annotations": []}
{"role": "volunteer", "content": "What we've been doing.", "session_id": 21191, "sequence_id": 759, "annotations": []}
{"role": "volunteer", "content": "looking for.", "session_id": 21191, "sequence_id": 760, "annotations": []}
{"role": "student", "content": "ohh, I didn't focus on that", "session_id": 21191, "sequence_id": 761, "annotations": []}
{"role": "student", "content": "I think 1/81 got dismissed becuz it isn't an integer", "session_id": 21191, "sequence_id": 762, "annotations": []}
{"role": "student", "content": "it is real but not integer", "session_id": 21191, "sequence_id": 763, "annotations": []}
{"role": "volunteer", "content": "Yeah.", "session_id": 21191, "sequence_id": 764, "annotations": []}
{"role": "volunteer", "content": "I think, I think because just like we're having this big debate.", "session_id": 21191, "sequence_id": 765, "annotations": []}
{"role": "volunteer", "content": "On whether there's two real roots or not, or if there's just one in one complex. I think they wanted to mitigate that and just.", "session_id": 21191, "sequence_id": 766, "annotations": []}
{"role": "volunteer", "content": "Just so there's no ambiguity.", "session_id": 21191, "sequence_id": 767, "annotations": []}
{"role": "volunteer", "content": "In the test.", "session_id": 21191, "sequence_id": 768, "annotations": []}
{"role": "student", "content": "yeah, both are real roots but only of em is integer", "session_id": 21191, "sequence_id": 769, "annotations": []}
{"role": "volunteer", "content": "OK. Well, that's that problem.", "session_id": 21191, "sequence_id": 770, "annotations": []}
{"role": "volunteer", "content": "Do you have any more? I gotta, I gotta get going.", "session_id": 21191, "sequence_id": 771, "annotations": []}
{"role": "volunteer", "content": "You wake up early.", "session_id": 21191, "sequence_id": 772, "annotations": []}
{"role": "student", "content": "I don't have any more problem", "session_id": 21191, "sequence_id": 773, "annotations": []}
{"role": "student", "content": "if you want, we can take tomorrow off", "session_id": 21191, "sequence_id": 774, "annotations": []}
{"role": "volunteer", "content": "Yeah, so if you want to do that, we can wait till Monday evening.", "session_id": 21191, "sequence_id": 775, "annotations": []}
{"role": "student", "content": "I mean monday off, then start from tuesday.", "session_id": 21191, "sequence_id": 776, "annotations": []}
{"role": "volunteer", "content": "Oh, OK.", "session_id": 21191, "sequence_id": 777, "annotations": []}
{"role": "volunteer", "content": "is to tomorrow night.", "session_id": 21191, "sequence_id": 778, "annotations": []}
{"role": "volunteer", "content": "OK, that's fine. We want to start again on Tuesday.", "session_id": 21191, "sequence_id": 779, "annotations": []}
{"role": "volunteer", "content": "Take 2 days off.", "session_id": 21191, "sequence_id": 780, "annotations": []}
{"role": "student", "content": "it;s just one day off --> monday", "session_id": 21191, "sequence_id": 781, "annotations": []}
{"role": "student", "content": "we did class today", "session_id": 21191, "sequence_id": 782, "annotations": []}
{"role": "volunteer", "content": "Right, and today is, oh, it's Sunday right now.", "session_id": 21191, "sequence_id": 783, "annotations": []}
{"role": "volunteer", "content": "Right", "session_id": 21191, "sequence_id": 784, "annotations": []}
{"role": "volunteer", "content": "So we can", "session_id": 21191, "sequence_id": 785, "annotations": []}
{"role": "volunteer", "content": "Meat", "session_id": 21191, "sequence_id": 786, "annotations": []}
{"role": "volunteer", "content": "2 Tuesday night, Tuesday evening.", "session_id": 21191, "sequence_id": 787, "annotations": []}
{"role": "student", "content": "yes", "session_id": 21191, "sequence_id": 788, "annotations": []}
{"role": "student", "content": "8pm", "session_id": 21191, "sequence_id": 789, "annotations": []}
{"role": "volunteer", "content": "All right. Well then, have a good couple of days, and I'll see you.", "session_id": 21191, "sequence_id": 790, "annotations": []}
{"role": "volunteer", "content": "Tuesday.", "session_id": 21191, "sequence_id": 791, "annotations": []}
{"role": "volunteer", "content": "Sharp", "session_id": 21191, "sequence_id": 792, "annotations": []}
{"role": "student", "content": "yup!", "session_id": 21191, "sequence_id": 793, "annotations": []}
{"role": "volunteer", "content": "Bye.", "session_id": 21191, "sequence_id": 794, "annotations": []}
{"role": "student", "content": "Get well soon! bye", "session_id": 21191, "sequence_id": 795, "annotations": []}
{"role": "volunteer", "content": "Was that you? I'm ready now", "session_id": 21191, "sequence_id": 796, "annotations": []}
{"role": "volunteer", "content": "Hello", "session_id": 21539, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "How may I help you?", "session_id": 21539, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "Hi Chris", "session_id": 21539, "sequence_id": 2, "annotations": [{"pii_type": "PERSON", "surrogate": "Chris", "start": 3, "end": 8}]}
{"role": "student", "content": "I have doubt in question of quadratic equation", "session_id": 21539, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "Can you show me the problem you are working on?", "session_id": 21539, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "If f(x)=9x\u22128 sqr root x such that g(x)=f(x)\u22121, then which one of the following is correct?", "session_id": 21539, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "(a) g(x)=0 has no real roots\n(b) g(x)=0 has only one real root which is an integer\n(c) g(x)=0 has two real roots which are integers\n(d) g(x)=0 has only one real root which is not an integer", "session_id": 21539, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "I am not quite sure of the equations. did I write them correctly?", "session_id": 21539, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "it is right", "session_id": 21539, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "You should start by writing the equation for g(x)", "session_id": 21539, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "ok", "session_id": 21539, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "g(x) = 9x - 8 sqr root (x) - 1", "session_id": 21539, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "OK, we need to solve that for x", "session_id": 21539, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "yes", "session_id": 21539, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "I took 1 on right side, and square both sides", "session_id": 21539, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "Usually in this kind of equation, you get the \u221ax on one side by itself and then square both sides. That gets rid of the square roots", "session_id": 21539, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "ok, got it!", "session_id": 21539, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "so, do i keep \"1\" on LHS or take it RHS?", "session_id": 21539, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "If you brought the 1 over to the RHS, then when you squared both sides, you would still have a square root term", "session_id": 21539, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "now, when you square both sides, there will be no square root terms at all.  Make sense?", "session_id": 21539, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "I got the first para, that taking \"1\" on RHS will have root x remain in equation", "session_id": 21539, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "i didnot understand second one", "session_id": 21539, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "Let's square both sides now", "session_id": 21539, "sequence_id": 22, "annotations": []}
{"role": "student", "content": "ok", "session_id": 21539, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "ohhh", "session_id": 21539, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "you took 8 root x other side.", "session_id": 21539, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "Got it!", "session_id": 21539, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "Now you will end up with a quadratic equations with no square roots anywhere.", "session_id": 21539, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "yes, that's right", "session_id": 21539, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "But when you square things, you must be very careful to check your answers in the original equation, because you can introduce extraneous roots", "session_id": 21539, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "can you solve that equation, do you think?", "session_id": 21539, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "yes, I did it.", "session_id": 21539, "sequence_id": 31, "annotations": []}
{"role": "student", "content": "I am getting two values for x", "session_id": 21539, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "x = 81/3 and 1", "session_id": 21539, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "sorry, x = 1/81", "session_id": 21539, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "You need to check them in the original equation", "session_id": 21539, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "Do they both work?", "session_id": 21539, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "x = 1/81 , doesnt make equation equal to 0", "session_id": 21539, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "but x = 1 statisfies the equation", "session_id": 21539, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "Right, 1/81 is an extraneous root.", "session_id": 21539, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "so x =1 is the only root", "session_id": 21539, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "what is extraneous root? root which doesn't satisfy the equation?", "session_id": 21539, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "An extra root that doesn't satisfy the original equation. WHen you square equations, you can introduce roots that don't actually satisfy the original equation. Those are called extraneous roots", "session_id": 21539, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "Ohh, ok, understood.", "session_id": 21539, "sequence_id": 43, "annotations": []}
{"role": "student", "content": "so, for this question, it will be option (b)", "session_id": 21539, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "Yes, I believe so.", "session_id": 21539, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "yes, it is right!", "session_id": 21539, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "I have one more question", "session_id": 21539, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 21539, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "can I erase the board? and write question there?", "session_id": 21539, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "Yes, or you can also upload an image", "session_id": 21539, "sequence_id": 50, "annotations": []}
{"role": "student", "content": "I upload the picture, is it visible?", "session_id": 21539, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 21539, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "I don't know what they mean by AP, GP, and HP", "session_id": 21539, "sequence_id": 53, "annotations": []}
{"role": "student", "content": "it is arithmeic progresion, Geometric Progression, harmonic progression", "session_id": 21539, "sequence_id": 54, "annotations": []}
{"role": "student", "content": "We can leave this question, then.", "session_id": 21539, "sequence_id": 55, "annotations": []}
{"role": "student", "content": "I have its second part which is only related to quadratic", "session_id": 21539, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "My first impession is that Descartes's rules would be helpful here, but I will have to work it out.", "session_id": 21539, "sequence_id": 57, "annotations": [{"pii_type": "PERSON", "surrogate": "Descartes", "start": 27, "end": 36}]}
{"role": "student", "content": "i tried to apply it but I didn't understand how to solve it further", "session_id": 21539, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "Yes, it uses Descartes's rules", "session_id": 21539, "sequence_id": 59, "annotations": [{"pii_type": "PERSON", "surrogate": "Descartes", "start": 13, "end": 22}]}
{"role": "volunteer", "content": "The sum of the two roots equals -b/a for ax^2 +bx +c", "session_id": 21539, "sequence_id": 60, "annotations": []}
{"role": "student", "content": "yes", "session_id": 21539, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "but they tell us that alpha=beta", "session_id": 21539, "sequence_id": 62, "annotations": []}
{"role": "student", "content": "how did you know alpha=beta?", "session_id": 21539, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "Because it says that the roots of the equation are equal", "session_id": 21539, "sequence_id": 64, "annotations": []}
{"role": "student", "content": "yes right! I didn't read it properly", "session_id": 21539, "sequence_id": 65, "annotations": []}
{"role": "student", "content": "understood!", "session_id": 21539, "sequence_id": 66, "annotations": []}
{"role": "student", "content": "I have one more question", "session_id": 21539, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 21539, "sequence_id": 68, "annotations": []}
{"role": "student", "content": "can you explain like how do i approach such questions? what should I be thinking first? I donot understand these type of questions", "session_id": 21539, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "What kind of curve is x^2 +2x+11 ?", "session_id": 21539, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "Not sure?", "session_id": 21539, "sequence_id": 71, "annotations": []}
{"role": "student", "content": "wait a min", "session_id": 21539, "sequence_id": 72, "annotations": []}
{"role": "student", "content": "is this right?", "session_id": 21539, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "So what is the minimum value of the quadratic?", "session_id": 21539, "sequence_id": 74, "annotations": []}
{"role": "student", "content": "will we take lowest value of x here?", "session_id": 21539, "sequence_id": 75, "annotations": []}
{"role": "student", "content": "as minimum value?", "session_id": 21539, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "what is the minimum value of the quadratic?", "session_id": 21539, "sequence_id": 77, "annotations": []}
{"role": "student", "content": "I donot know", "session_id": 21539, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "Yes, you do. You have written it on your graph.", "session_id": 21539, "sequence_id": 79, "annotations": []}
{"role": "student", "content": "-1?", "session_id": 21539, "sequence_id": 80, "annotations": []}
{"role": "volunteer", "content": "-1 is the x coordinate of the quadratic. But the minimum VALUE of the quadratic (that is, the y value) is 10", "session_id": 21539, "sequence_id": 81, "annotations": []}
{"role": "volunteer", "content": "Any questions about that?", "session_id": 21539, "sequence_id": 82, "annotations": []}
{"role": "student", "content": "so, the lowest value of y coordinate is minimum value", "session_id": 21539, "sequence_id": 83, "annotations": []}
{"role": "volunteer", "content": "WHen we talk about the \"value\" of a function, we are talking about y, not x", "session_id": 21539, "sequence_id": 84, "annotations": []}
{"role": "volunteer", "content": "so the minimum value of the quadratic is 10", "session_id": 21539, "sequence_id": 85, "annotations": []}
{"role": "student", "content": "oh, so when we talk about x, how do we say it?", "session_id": 21539, "sequence_id": 86, "annotations": []}
{"role": "volunteer", "content": "x is the x coordinate.", "session_id": 21539, "sequence_id": 87, "annotations": []}
{"role": "volunteer", "content": "So now you need to calculate the log base 10 of 10", "session_id": 21539, "sequence_id": 88, "annotations": []}
{"role": "student", "content": "that will be 1", "session_id": 21539, "sequence_id": 89, "annotations": []}
{"role": "student", "content": "option (b) is right answer.", "session_id": 21539, "sequence_id": 90, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 21539, "sequence_id": 91, "annotations": []}
{"role": "student", "content": "I got one more question", "session_id": 21539, "sequence_id": 92, "annotations": []}
{"role": "volunteer", "content": "How many more questions do you have?", "session_id": 21539, "sequence_id": 93, "annotations": []}
{"role": "student", "content": "One one last question, but that's is of intergral calculus", "session_id": 21539, "sequence_id": 94, "annotations": []}
{"role": "volunteer", "content": "Where are these questions coming from?", "session_id": 21539, "sequence_id": 95, "annotations": []}
{"role": "student", "content": "\u201cIntermediate Algebra\u201d by Descartes", "session_id": 21539, "sequence_id": 96, "annotations": [{"pii_type": "PERSON", "surrogate": "Descartes", "start": 26, "end": 35}]}
{"role": "volunteer", "content": "On this, all I can think of at the moment is for you to expand it out", "session_id": 21539, "sequence_id": 97, "annotations": []}
{"role": "student", "content": "ok", "session_id": 21539, "sequence_id": 98, "annotations": []}
{"role": "student", "content": "would you like me to do on screen or write the final answer?", "session_id": 21539, "sequence_id": 99, "annotations": []}
{"role": "volunteer", "content": "You might want to work on this question by yourself for a while.", "session_id": 21539, "sequence_id": 100, "annotations": []}
{"role": "student", "content": "alright", "session_id": 21539, "sequence_id": 101, "annotations": []}
{"role": "volunteer", "content": "Perhaps then you can request another session", "session_id": 21539, "sequence_id": 102, "annotations": []}
{"role": "student", "content": "Can i request another session with you or new teacher?", "session_id": 21539, "sequence_id": 103, "annotations": []}
{"role": "volunteer", "content": "You won't have any difficulty getting someone to help you.", "session_id": 21539, "sequence_id": 104, "annotations": []}
{"role": "student", "content": "ok!", "session_id": 21539, "sequence_id": 105, "annotations": []}
{"role": "student", "content": "I have one last question", "session_id": 21539, "sequence_id": 106, "annotations": []}
{"role": "volunteer", "content": "You always have one last question", "session_id": 21539, "sequence_id": 107, "annotations": []}
{"role": "student", "content": "last for sure", "session_id": 21539, "sequence_id": 108, "annotations": []}
{"role": "volunteer", "content": "are you in summer school?", "session_id": 21539, "sequence_id": 109, "annotations": []}
{"role": "student", "content": "Yes, I\u2019Maplewood Academy entrance exams.", "session_id": 21539, "sequence_id": 110, "annotations": [{"pii_type": "SCHOOL", "surrogate": "Maplewood Academy", "start": 7, "end": 24}]}
{"role": "student", "content": "can we think like, no. of roots is equal to power of equation.", "session_id": 21539, "sequence_id": 111, "annotations": []}
{"role": "student", "content": "like quadratic equation hae 2 roots", "session_id": 21539, "sequence_id": 112, "annotations": []}
{"role": "student", "content": "so if power is 4, then roots should be 4 too", "session_id": 21539, "sequence_id": 113, "annotations": []}
{"role": "volunteer", "content": "Yes, but some of the roots might be complex, not real.", "session_id": 21539, "sequence_id": 114, "annotations": []}
{"role": "student", "content": "oh! in quadratic equation, real root = complex roots, like one real, one complex", "session_id": 21539, "sequence_id": 115, "annotations": []}
{"role": "student", "content": "so, if roots are 4, so will it be 2 real , and 2 complex?", "session_id": 21539, "sequence_id": 116, "annotations": []}
{"role": "volunteer", "content": "No, complex roots always come in conjugate pairs", "session_id": 21539, "sequence_id": 117, "annotations": []}
{"role": "student", "content": "you are right, the equation is same for all the roots", "session_id": 21539, "sequence_id": 118, "annotations": []}
{"role": "volunteer", "content": "Perhaps there is a simpler way, but I would do is expand it, and try simple roots using synthetic division and reduce it to a quadratic. then use the quadratic formula for the quadratic.", "session_id": 21539, "sequence_id": 119, "annotations": []}
{"role": "student", "content": "I will try it, then get back to you!", "session_id": 21539, "sequence_id": 120, "annotations": []}
{"role": "volunteer", "content": "Ok.  good luck", "session_id": 21539, "sequence_id": 121, "annotations": []}
{"role": "volunteer", "content": "bye", "session_id": 21539, "sequence_id": 122, "annotations": []}
{"role": "student", "content": "can you tell me one last thing, how can i request your session?", "session_id": 21539, "sequence_id": 123, "annotations": []}
{"role": "volunteer", "content": "You request a session just likk you requested this one.", "session_id": 21539, "sequence_id": 124, "annotations": []}
{"role": "student", "content": "you will come?", "session_id": 21539, "sequence_id": 125, "annotations": []}
{"role": "volunteer", "content": "It won't necessarily be me.", "session_id": 21539, "sequence_id": 126, "annotations": []}
{"role": "student", "content": "you are really good. and i have some familarity. that's i am asking", "session_id": 21539, "sequence_id": 127, "annotations": []}
{"role": "volunteer", "content": "but there are many math tutors", "session_id": 21539, "sequence_id": 128, "annotations": []}
{"role": "student", "content": "i will have few question next time", "session_id": 21539, "sequence_id": 129, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 21539, "sequence_id": 130, "annotations": []}
{"role": "student", "content": "ok, thank you", "session_id": 21539, "sequence_id": 131, "annotations": []}
{"role": "volunteer", "content": "you are very welcome", "session_id": 21539, "sequence_id": 132, "annotations": []}
{"role": "student", "content": "bye", "session_id": 21539, "sequence_id": 133, "annotations": []}
{"role": "volunteer", "content": "bye", "session_id": 21539, "sequence_id": 134, "annotations": []}
{"role": "volunteer", "content": "Hi, how can I help?", "session_id": 21572, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "Hello", "session_id": 21572, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "how far have you gotten into this problem?", "session_id": 21572, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "for example, based on the behavior of the graph. what function is it?", "session_id": 21572, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "tangent", "session_id": 21572, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "right", "session_id": 21572, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "Now, what shrinks or enlarges the tan or trig functions?", "session_id": 21572, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "i got that the period is pi / 6 and that B = 6 but im not sure if that is correct", "session_id": 21572, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "the B value", "session_id": 21572, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "right", "session_id": 21572, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "Im assuming you are talking about the Atan(Bx-C)+D", "session_id": 21572, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "form", "session_id": 21572, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "yes", "session_id": 21572, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "the B value looks good to me", "session_id": 21572, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "What do you think C is", "session_id": 21572, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "ok", "session_id": 21572, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "im not sure how to find c", "session_id": 21572, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "Well, It's the phase shift", "session_id": 21572, "sequence_id": 17, "annotations": []}
{"role": "student", "content": "there is none", "session_id": 21572, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "right", "session_id": 21572, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "so C would be?", "session_id": 21572, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "0", "session_id": 21572, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "rightt", "session_id": 21572, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "now D?", "session_id": 21572, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "what does D represent?", "session_id": 21572, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "midline ?", "session_id": 21572, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "close", "session_id": 21572, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "C is to x-axis what D is to y-axis", "session_id": 21572, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "also to clarify, C is not phase shift, C/B is phase shift", "session_id": 21572, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "I miswrote before", "session_id": 21572, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "vertical shift", "session_id": 21572, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "C is shift", "session_id": 21572, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "correct", "session_id": 21572, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "what is the vertical shift for this graph", "session_id": 21572, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "wait vertical shift means shift means updown right", "session_id": 21572, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "right", "session_id": 21572, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "think y-intercept", "session_id": 21572, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "for tan x the x int is at 0,0 so its the same here the same x ints so wouldnt it be the same", "session_id": 21572, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "right, but we are asking about y-intercepts", "session_id": 21572, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "oh its 0 for here then", "session_id": 21572, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "example of a vertical shift", "session_id": 21572, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 21572, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "so d = 0", "session_id": 21572, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "correct", "session_id": 21572, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "last is to check A", "session_id": 21572, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "how do we do that", "session_id": 21572, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "what does it represent?", "session_id": 21572, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "like how far apart the VA s are?", "session_id": 21572, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "not quite", "session_id": 21572, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "think of a parabola", "session_id": 21572, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "what does the coefficient to the x^2 mean", "session_id": 21572, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "eg. y=ax^2", "session_id": 21572, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "what happens when a is big?", "session_id": 21572, "sequence_id": 52, "annotations": []}
{"role": "student", "content": "further from the y axis", "session_id": 21572, "sequence_id": 53, "annotations": []}
{"role": "student", "content": "?", "session_id": 21572, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "doesn't affect intercepts", "session_id": 21572, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "a stands for amplitude", "session_id": 21572, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "It is what either shrinks or stretches the function vertically", "session_id": 21572, "sequence_id": 57, "annotations": []}
{"role": "student", "content": "okay", "session_id": 21572, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "a big amplitude will stretch and a small amplitude will shrink", "session_id": 21572, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "this is based on a normalized A=1", "session_id": 21572, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "so \nA>1 stretch\n0<A<1 shrink", "session_id": 21572, "sequence_id": 61, "annotations": []}
{"role": "student", "content": "got it", "session_id": 21572, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "sorry", "session_id": 21572, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "|A|", "session_id": 21572, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "so \n|A|>1 stretch\n0<|A|<1 shrink", "session_id": 21572, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "A can be negative as well", "session_id": 21572, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "can you see the graphs im sharing?", "session_id": 21572, "sequence_id": 67, "annotations": []}
{"role": "student", "content": "yes", "session_id": 21572, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "If you can see the blue graph", "session_id": 21572, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "A>1", "session_id": 21572, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "So it gets stretched", "session_id": 21572, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "I switched to A=10 to make it more obvious", "session_id": 21572, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "yellow is the standard tanx graph", "session_id": 21572, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "green is when 0<A<1", "session_id": 21572, "sequence_id": 74, "annotations": []}
{"role": "volunteer", "content": "see how it is squeezed vertically", "session_id": 21572, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "A<0 flips tan around y-axis", "session_id": 21572, "sequence_id": 76, "annotations": []}
{"role": "student", "content": "yes its like hugging the x axis more", "session_id": 21572, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "'hug' was the exact word I was thinking but didn't want to confuse", "session_id": 21572, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "you", "session_id": 21572, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "purple is a negative amplitude", "session_id": 21572, "sequence_id": 80, "annotations": []}
{"role": "volunteer", "content": "all that to say that amplitude is A", "session_id": 21572, "sequence_id": 81, "annotations": []}
{"role": "volunteer", "content": "now back to our question", "session_id": 21572, "sequence_id": 82, "annotations": []}
{"role": "volunteer", "content": "how to find A", "session_id": 21572, "sequence_id": 83, "annotations": []}
{"role": "volunteer", "content": "easiest way is to find where pi/4 is", "session_id": 21572, "sequence_id": 84, "annotations": []}
{"role": "volunteer", "content": "on x-axis", "session_id": 21572, "sequence_id": 85, "annotations": []}
{"role": "volunteer", "content": "as tanpi/4 = 1", "session_id": 21572, "sequence_id": 86, "annotations": []}
{"role": "student", "content": "pi/4?", "session_id": 21572, "sequence_id": 87, "annotations": []}
{"role": "student", "content": "oh", "session_id": 21572, "sequence_id": 88, "annotations": []}
{"role": "volunteer", "content": "now, what 'pi/4' is depends on the phase shift and what B is", "session_id": 21572, "sequence_id": 89, "annotations": []}
{"role": "volunteer", "content": "'pi/4' is dependent on the period", "session_id": 21572, "sequence_id": 90, "annotations": []}
{"role": "volunteer", "content": "you can think of it as period over 4", "session_id": 21572, "sequence_id": 91, "annotations": []}
{"role": "student", "content": "okay", "session_id": 21572, "sequence_id": 92, "annotations": []}
{"role": "student", "content": "we git that the period was pi/6 rigjt", "session_id": 21572, "sequence_id": 93, "annotations": []}
{"role": "volunteer", "content": "right", "session_id": 21572, "sequence_id": 94, "annotations": []}
{"role": "volunteer", "content": "so it would be what for this problem", "session_id": 21572, "sequence_id": 95, "annotations": []}
{"role": "volunteer", "content": "?", "session_id": 21572, "sequence_id": 96, "annotations": []}
{"role": "volunteer", "content": "the important x-value", "session_id": 21572, "sequence_id": 97, "annotations": []}
{"role": "volunteer", "content": "hello?", "session_id": 21572, "sequence_id": 98, "annotations": []}
{"role": "student", "content": "i dont understand", "session_id": 21572, "sequence_id": 99, "annotations": []}
{"role": "volunteer", "content": "what would (pi/6)/4 be?", "session_id": 21572, "sequence_id": 100, "annotations": []}
{"role": "student", "content": "ohh", "session_id": 21572, "sequence_id": 101, "annotations": []}
{"role": "student", "content": "pi over 24", "session_id": 21572, "sequence_id": 102, "annotations": []}
{"role": "volunteer", "content": "right", "session_id": 21572, "sequence_id": 103, "annotations": []}
{"role": "volunteer", "content": "so what is the y-value for pi/24", "session_id": 21572, "sequence_id": 104, "annotations": []}
{"role": "student", "content": "3?", "session_id": 21572, "sequence_id": 105, "annotations": []}
{"role": "volunteer", "content": "that's what I get", "session_id": 21572, "sequence_id": 106, "annotations": []}
{"role": "volunteer", "content": "Now put it all together into the general form of tanx and what is the function?", "session_id": 21572, "sequence_id": 107, "annotations": []}
{"role": "student", "content": "y = A tan(B(x - C)) + D", "session_id": 21572, "sequence_id": 108, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 21572, "sequence_id": 109, "annotations": []}
{"role": "volunteer", "content": "plug in the values", "session_id": 21572, "sequence_id": 110, "annotations": []}
{"role": "student", "content": "is A = 3?", "session_id": 21572, "sequence_id": 111, "annotations": []}
{"role": "volunteer", "content": "for 'ABCD'", "session_id": 21572, "sequence_id": 112, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 21572, "sequence_id": 113, "annotations": []}
{"role": "student", "content": "y = 3 tan(6x)", "session_id": 21572, "sequence_id": 114, "annotations": []}
{"role": "volunteer", "content": "Another tip for finding the amplitude", "session_id": 21572, "sequence_id": 115, "annotations": []}
{"role": "volunteer", "content": "You need at least one data point that is not on the x-axis", "session_id": 21572, "sequence_id": 116, "annotations": []}
{"role": "volunteer", "content": "so I recommended using the period/4", "session_id": 21572, "sequence_id": 117, "annotations": []}
{"role": "volunteer", "content": "You may not always need this as they may give you some (x,y)", "session_id": 21572, "sequence_id": 118, "annotations": []}
{"role": "volunteer", "content": "Then once you find the shifts and phase", "session_id": 21572, "sequence_id": 119, "annotations": []}
{"role": "student", "content": "wdym by one data point not on x axis", "session_id": 21572, "sequence_id": 120, "annotations": []}
{"role": "volunteer", "content": "assuming you don't have a vertical shift or 'D=0'", "session_id": 21572, "sequence_id": 121, "annotations": []}
{"role": "volunteer", "content": "using a point of form (0,y)", "session_id": 21572, "sequence_id": 122, "annotations": []}
{"role": "volunteer", "content": "Wont help you find A", "session_id": 21572, "sequence_id": 123, "annotations": []}
{"role": "volunteer", "content": "as y=Atan(0) = 0", "session_id": 21572, "sequence_id": 124, "annotations": []}
{"role": "student", "content": "ohh", "session_id": 21572, "sequence_id": 125, "annotations": []}
{"role": "volunteer", "content": "you want x=/=0", "session_id": 21572, "sequence_id": 126, "annotations": []}
{"role": "volunteer", "content": "so that you can calculate A in form A=y/tan(bx-c)", "session_id": 21572, "sequence_id": 127, "annotations": []}
{"role": "volunteer", "content": "now if you do have a vertical shift", "session_id": 21572, "sequence_id": 128, "annotations": []}
{"role": "volunteer", "content": "A = (y-D)/tan(bx-c)", "session_id": 21572, "sequence_id": 129, "annotations": []}
{"role": "volunteer", "content": "I can show you this on the boad", "session_id": 21572, "sequence_id": 130, "annotations": []}
{"role": "volunteer", "content": "board*", "session_id": 21572, "sequence_id": 131, "annotations": []}
{"role": "student", "content": "yes please", "session_id": 21572, "sequence_id": 132, "annotations": []}
{"role": "volunteer", "content": "does that makes sense?", "session_id": 21572, "sequence_id": 133, "annotations": []}
{"role": "volunteer", "content": "we used the point (pi/24 , 3) for this problem", "session_id": 21572, "sequence_id": 134, "annotations": []}
{"role": "student", "content": "yeah", "session_id": 21572, "sequence_id": 135, "annotations": []}
{"role": "volunteer", "content": "does that math make sense?", "session_id": 21572, "sequence_id": 136, "annotations": []}
{"role": "student", "content": "yeah it does", "session_id": 21572, "sequence_id": 137, "annotations": []}
{"role": "volunteer", "content": "Now, this is what my first instinct is to try to get pi/4 inside tan", "session_id": 21572, "sequence_id": 138, "annotations": []}
{"role": "volunteer", "content": "because I know tan(pi/4)=1", "session_id": 21572, "sequence_id": 139, "annotations": []}
{"role": "volunteer", "content": "imagine using the point (pi/10,y)", "session_id": 21572, "sequence_id": 140, "annotations": []}
{"role": "volunteer", "content": "you will need a calculator and then have to use an estimate as the decimal number will be long", "session_id": 21572, "sequence_id": 141, "annotations": []}
{"role": "student", "content": "okay", "session_id": 21572, "sequence_id": 142, "annotations": []}
{"role": "volunteer", "content": "using x=period/4 gives me a cleaner solution", "session_id": 21572, "sequence_id": 143, "annotations": []}
{"role": "volunteer", "content": "another way of thinking it is just to take the distance between the vertical asymptotes and divide by 4", "session_id": 21572, "sequence_id": 144, "annotations": []}
{"role": "student", "content": "will that always work?", "session_id": 21572, "sequence_id": 145, "annotations": []}
{"role": "volunteer", "content": "the distance between vertical asymptotes? yes", "session_id": 21572, "sequence_id": 146, "annotations": []}
{"role": "volunteer", "content": "as that is the period", "session_id": 21572, "sequence_id": 147, "annotations": []}
{"role": "volunteer", "content": "the period/4 will work as well", "session_id": 21572, "sequence_id": 148, "annotations": []}
{"role": "volunteer", "content": "this is a methodology that you will only get from doing it", "session_id": 21572, "sequence_id": 149, "annotations": []}
{"role": "student", "content": "oh right", "session_id": 21572, "sequence_id": 150, "annotations": []}
{"role": "volunteer", "content": "I had to learn it intuitively", "session_id": 21572, "sequence_id": 151, "annotations": []}
{"role": "student", "content": "okay well i have to go now", "session_id": 21572, "sequence_id": 152, "annotations": []}
{"role": "student", "content": "but thank u so much for being patient and helping me with this problem!", "session_id": 21572, "sequence_id": 153, "annotations": []}
{"role": "volunteer", "content": "No problem glad to help", "session_id": 21572, "sequence_id": 154, "annotations": []}
{"role": "volunteer", "content": "was that all the help you needed?", "session_id": 21572, "sequence_id": 155, "annotations": []}
{"role": "student", "content": "for now, yes!", "session_id": 21572, "sequence_id": 156, "annotations": []}
{"role": "volunteer", "content": "great!", "session_id": 21572, "sequence_id": 157, "annotations": []}
{"role": "student", "content": "Hello! How are you? I need help completing a homework assignment that's due soon!", "session_id": 4385, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "Hi", "session_id": 4385, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "Hi, are you there", "session_id": 4385, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "hello", "session_id": 4385, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "You can turn on your mic if you wanna speak, or else you can type in the chat box. You can also listen to me by increasing the volume.", "session_id": 4385, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "Okay I hear you!", "session_id": 4385, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "OK, yeah", "session_id": 4385, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "Good", "session_id": 4385, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "So you're working on this problem, right?", "session_id": 4385, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "yes!", "session_id": 4385, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 4385, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "So", "session_id": 4385, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "how do you think should we approach this problem?", "session_id": 4385, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "I already know the givens which are lebeled by since this is a very new topic to me I am confused", "session_id": 4385, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "Mm OK so a paper license just.", "session_id": 4385, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "OK, no problem. Uh let's, let's see this together, right?", "session_id": 4385, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "So", "session_id": 4385, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "we know that angle B is equal to angle D and BC is parallel to AD.", "session_id": 4385, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 4385, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "OK. Uh, so, wait.", "session_id": 4385, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "hm", "session_id": 4385, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "Do you know this concept that if we have two parallel lines", "session_id": 4385, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "let's say these are our two parallel lines.", "session_id": 4385, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "L and M, and if there is one transversal, then", "session_id": 4385, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "this angle will be equal to this angle if this angle is X and this angle is Y, then X will be equal to y. Do you know this point?", "session_id": 4385, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "This is the property of parallel lines, right?", "session_id": 4385, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "Yes!", "session_id": 4385, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "Yeah, so we call this alternate alternate interior angles, alternate interior angles are equal. So if we try to use the same concept here. So we know that", "session_id": 4385, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "uh just give me the", "session_id": 4385, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "Yeah, so we know that this is one line that we have", "session_id": 4385, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "right? And this is another line that we have, and both of these lines are parallel", "session_id": 4385, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "If we consider this our transversal.", "session_id": 4385, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "So can we say that this angle will be equal to this angle.", "session_id": 4385, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "Yes! So angle BCA", "session_id": 4385, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "So angle BCAS.", "session_id": 4385, "sequence_id": 34, "annotations": []}
{"role": "volunteer", "content": "angle BCA equals angle", "session_id": 4385, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "Tell me the name of the other angle.", "session_id": 4385, "sequence_id": 36, "annotations": []}
{"role": "student", "content": "is congruent to angle ACD", "session_id": 4385, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "CAD", "session_id": 4385, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "It's congruentumangal ACD.", "session_id": 4385, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "AC", "session_id": 4385, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "not ACD", "session_id": 4385, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "CAD", "session_id": 4385, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "BCA is uh your", "session_id": 4385, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "this angle, this angle is BCA", "session_id": 4385, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "and this one is equal to CAD, yeah, it's correct now.", "session_id": 4385, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "And see", "session_id": 4385, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "I'm sorry", "session_id": 4385, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "Let's see AD.", "session_id": 4385, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "OK. So now we know this point.", "session_id": 4385, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "Um, now, what do you think should be our next step? So we have these two angles which are equal uh in our both the triangles, what else do we need?", "session_id": 4385, "sequence_id": 50, "annotations": []}
{"role": "student", "content": "Hmm", "session_id": 4385, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "Do you have any ideas or something.", "session_id": 4385, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "Yeah, you can draw if you want on the whiteboard.", "session_id": 4385, "sequence_id": 53, "annotations": []}
{"role": "student", "content": "I think we also need do show", "session_id": 4385, "sequence_id": 54, "annotations": []}
{"role": "student", "content": "Hello", "session_id": 4385, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "Hello. Hi", "session_id": 4385, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "Hi.", "session_id": 4385, "sequence_id": 57, "annotations": []}
{"role": "student", "content": "Hi. Sorry, my, my.", "session_id": 4385, "sequence_id": 58, "annotations": []}
{"role": "student", "content": "dizzy", "session_id": 4385, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "Uh, yes, you're audible.", "session_id": 4385, "sequence_id": 60, "annotations": []}
{"role": "student", "content": "So", "session_id": 4385, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "Mm", "session_id": 4385, "sequence_id": 62, "annotations": []}
{"role": "student", "content": "I like started this topic, but um,", "session_id": 4385, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "I", "session_id": 4385, "sequence_id": 64, "annotations": []}
{"role": "student", "content": "I only started it like on Friday and we were given a homework assignment for it, so I do know the property that you already explained. Um,", "session_id": 4385, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 4385, "sequence_id": 66, "annotations": []}
{"role": "student", "content": "I'm just like confused on like how to apply it into proofs.", "session_id": 4385, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "Um, OK. So, uh, do you know how to, how do we prove two triangles to be congruent.", "session_id": 4385, "sequence_id": 68, "annotations": []}
{"role": "student", "content": "Um", "session_id": 4385, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "OK, I, I'll teach you.", "session_id": 4385, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 4385, "sequence_id": 71, "annotations": []}
{"role": "student", "content": "so how did you learn like side, side, side and like side angle side.", "session_id": 4385, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "Uh, yes, let me write that down for you. Side, side, side.", "session_id": 4385, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "uh side angle, side. What else?", "session_id": 4385, "sequence_id": 74, "annotations": []}
{"role": "student", "content": "And we also did Angle side angle.", "session_id": 4385, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "Angle siderounding", "session_id": 4385, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "and RHS right? or HL?", "session_id": 4385, "sequence_id": 77, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 4385, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "Yeah. So, let's see what can we apply here?", "session_id": 4385, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "So we know that this angle is equal to this angle, and this angle is equal to this angle.", "session_id": 4385, "sequence_id": 80, "annotations": []}
{"role": "volunteer", "content": "So we know our two angles, right?", "session_id": 4385, "sequence_id": 81, "annotations": []}
{"role": "student", "content": "Mhm", "session_id": 4385, "sequence_id": 82, "annotations": []}
{"role": "student", "content": "Yeah.", "session_id": 4385, "sequence_id": 83, "annotations": []}
{"role": "volunteer", "content": "So", "session_id": 4385, "sequence_id": 84, "annotations": []}
{"role": "volunteer", "content": "that the properties were SSS.", "session_id": 4385, "sequence_id": 85, "annotations": []}
{"role": "volunteer", "content": "ASA or", "session_id": 4385, "sequence_id": 86, "annotations": []}
{"role": "student", "content": "So we already know we side, side, side.", "session_id": 4385, "sequence_id": 87, "annotations": []}
{"role": "student", "content": "Yeah.", "session_id": 4385, "sequence_id": 88, "annotations": []}
{"role": "volunteer", "content": "So side, side, side, uh, we can't apply this here because we haven't proved that all the three sides are equal. Do you know that the, we have this site which, which is equal in both the triangles, right?", "session_id": 4385, "sequence_id": 89, "annotations": []}
{"role": "volunteer", "content": "Yeah.", "session_id": 4385, "sequence_id": 90, "annotations": []}
{"role": "student", "content": "Mhm. So it can't be side, side, side. And I don't think it can be side angle side either because we already have um two angles.", "session_id": 4385, "sequence_id": 91, "annotations": []}
{"role": "student", "content": "I do", "session_id": 4385, "sequence_id": 92, "annotations": []}
{"role": "volunteer", "content": "Yeah. So if we think about ASA, you might think, OK, so we, we have proved that these two angles are equal and this side is equal. So, so we can say that this", "session_id": 4385, "sequence_id": 93, "annotations": []}
{"role": "student", "content": "Can we do reflexive property for ACA's congruent to AC.", "session_id": 4385, "sequence_id": 94, "annotations": []}
{"role": "volunteer", "content": "AC is congruent to, you know, what is reflexive property? Can you explain that?", "session_id": 4385, "sequence_id": 95, "annotations": []}
{"role": "student", "content": "Um, like", "session_id": 4385, "sequence_id": 96, "annotations": []}
{"role": "student", "content": "it's pretty much just repeating that like one segment is equal to itself and because Triangle ABC has segment AC and triangle ADC also has segment AC. Um, we can use reflexive property to show that they're both equal.", "session_id": 4385, "sequence_id": 97, "annotations": []}
{"role": "volunteer", "content": "Yeah, we can do that", "session_id": 4385, "sequence_id": 98, "annotations": []}
{"role": "volunteer", "content": "OK, so now we have two angles equal, uh, what is this one and the other is angle this one. So, and we also have one side which is equal. So we might think that we can now prove uh that most of these triangles are congruent by ASA, but this is not true. For ASA, the site should be the included side, the side between those two angles. So if I'm talking about these two angles, then this one should be our side, right? So", "session_id": 4385, "sequence_id": 99, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 4385, "sequence_id": 100, "annotations": []}
{"role": "volunteer", "content": "we can't use ASA on these three properties that we know. This is the first one. This is the 2nd 1, and this is the 3rd 1. So, now we know that this angle at this side so we will try to prove that this angle is equal to this angle.", "session_id": 4385, "sequence_id": 101, "annotations": []}
{"role": "volunteer", "content": "Then we can use ASA for these, right? Because the site will be the included site, like the side between these two angles.", "session_id": 4385, "sequence_id": 102, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 4385, "sequence_id": 103, "annotations": []}
{"role": "volunteer", "content": "OK.", "session_id": 4385, "sequence_id": 104, "annotations": []}
{"role": "volunteer", "content": "So how, uh, how can you, can you prove that let me change the color.", "session_id": 4385, "sequence_id": 105, "annotations": []}
{"role": "volunteer", "content": "How can you prove that this angle?", "session_id": 4385, "sequence_id": 106, "annotations": []}
{"role": "volunteer", "content": "is equal to this one", "session_id": 4385, "sequence_id": 107, "annotations": []}
{"role": "student", "content": "Um", "session_id": 4385, "sequence_id": 108, "annotations": []}
{"role": "volunteer", "content": "Um, yeah.", "session_id": 4385, "sequence_id": 109, "annotations": []}
{"role": "student", "content": "I'm not sure what it's called exactly, but can we say like, because we already know that um", "session_id": 4385, "sequence_id": 110, "annotations": []}
{"role": "student", "content": "Engle BCA is congruent to Engle CAD because it's technically half.", "session_id": 4385, "sequence_id": 111, "annotations": []}
{"role": "student", "content": "um, like the other side would be equal.", "session_id": 4385, "sequence_id": 112, "annotations": []}
{"role": "volunteer", "content": "So, we can't say that it's half. How do we know that it's half?", "session_id": 4385, "sequence_id": 113, "annotations": []}
{"role": "student", "content": "Because", "session_id": 4385, "sequence_id": 114, "annotations": []}
{"role": "volunteer", "content": "We don't", "session_id": 4385, "sequence_id": 115, "annotations": []}
{"role": "student", "content": "oh OK", "session_id": 4385, "sequence_id": 116, "annotations": []}
{"role": "student", "content": "Yeah.", "session_id": 4385, "sequence_id": 117, "annotations": []}
{"role": "volunteer", "content": "Yeah, we don't know that. So, again, we'll use the", "session_id": 4385, "sequence_id": 118, "annotations": []}
{"role": "volunteer", "content": "um, what, what else can we use? OK. OK. He is out. We know that angle B equals angle D and let's say if this angle is, let's say X", "session_id": 4385, "sequence_id": 119, "annotations": []}
{"role": "volunteer", "content": "and this angle is Y, so we know that this angle will also be X because both of these angles are equal, right?", "session_id": 4385, "sequence_id": 120, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 4385, "sequence_id": 121, "annotations": []}
{"role": "volunteer", "content": "Yes, and also, if this angle is by that, this angle will also be why because both of these angles are equal.", "session_id": 4385, "sequence_id": 122, "annotations": []}
{"role": "volunteer", "content": "Uh, so, uh we also know this property that for a triangle.", "session_id": 4385, "sequence_id": 123, "annotations": []}
{"role": "student", "content": "Um, we can say", "session_id": 4385, "sequence_id": 124, "annotations": []}
{"role": "student", "content": "like", "session_id": 4385, "sequence_id": 125, "annotations": []}
{"role": "volunteer", "content": "uh that some of all the angles. So this is B A B C Agula plus angle B + angle C 180 degree, right?", "session_id": 4385, "sequence_id": 126, "annotations": []}
{"role": "student", "content": "yes", "session_id": 4385, "sequence_id": 127, "annotations": []}
{"role": "volunteer", "content": "This is the angle some property. So if I say that one of the angles is X, the other one is Y, and I need to find this angle. How can I do that? I'll just substitute these values, right? A is X, is B is Y, plus angle C is equals 180 degree uh minus X minus Y minus X minus Y.", "session_id": 4385, "sequence_id": 128, "annotations": []}
{"role": "volunteer", "content": "uh and the C equals 18T minus X minus.", "session_id": 4385, "sequence_id": 129, "annotations": []}
{"role": "volunteer", "content": "Is this clear", "session_id": 4385, "sequence_id": 130, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 4385, "sequence_id": 131, "annotations": []}
{"role": "volunteer", "content": "OK. So, if I use the same thing here, so can I say that this angle", "session_id": 4385, "sequence_id": 132, "annotations": []}
{"role": "volunteer", "content": "which is angle BAC.", "session_id": 4385, "sequence_id": 133, "annotations": []}
{"role": "volunteer", "content": "Ale B A C equals 180 degree minus x minusy.", "session_id": 4385, "sequence_id": 134, "annotations": []}
{"role": "volunteer", "content": "because for", "session_id": 4385, "sequence_id": 135, "annotations": []}
{"role": "volunteer", "content": "for our this triangle that we have here.", "session_id": 4385, "sequence_id": 136, "annotations": []}
{"role": "student", "content": "Mhm", "session_id": 4385, "sequence_id": 137, "annotations": []}
{"role": "volunteer", "content": "some of all three angles should 180 degree, and if two angles are X and Y, so the third angle should 180 minus X minus Y.", "session_id": 4385, "sequence_id": 138, "annotations": []}
{"role": "volunteer", "content": "Then only the sum of all the three angles will 180.", "session_id": 4385, "sequence_id": 139, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 4385, "sequence_id": 140, "annotations": []}
{"role": "volunteer", "content": "Uh, OK, all right. Uh, is this clear or not?", "session_id": 4385, "sequence_id": 141, "annotations": []}
{"role": "student", "content": "Yeah, I understand it", "session_id": 4385, "sequence_id": 142, "annotations": []}
{"role": "volunteer", "content": "Yeah, or else we can say that for this triangle,", "session_id": 4385, "sequence_id": 143, "annotations": []}
{"role": "volunteer", "content": "triangle A, B, C", "session_id": 4385, "sequence_id": 144, "annotations": []}
{"role": "volunteer", "content": "Um, I'm gonna be AC + that BSC is this one, right?", "session_id": 4385, "sequence_id": 145, "annotations": []}
{"role": "student", "content": "Mhm", "session_id": 4385, "sequence_id": 146, "annotations": []}
{"role": "volunteer", "content": "That's ACB", "session_id": 4385, "sequence_id": 147, "annotations": []}
{"role": "volunteer", "content": "A C B ACB is your this", "session_id": 4385, "sequence_id": 148, "annotations": []}
{"role": "volunteer", "content": "plus angle CBA.", "session_id": 4385, "sequence_id": 149, "annotations": []}
{"role": "volunteer", "content": "C B A", "session_id": 4385, "sequence_id": 150, "annotations": []}
{"role": "volunteer", "content": "equals 180 degree", "session_id": 4385, "sequence_id": 151, "annotations": []}
{"role": "volunteer", "content": "right?", "session_id": 4385, "sequence_id": 152, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 4385, "sequence_id": 153, "annotations": []}
{"role": "volunteer", "content": "And we know that angle ACB.", "session_id": 4385, "sequence_id": 154, "annotations": []}
{"role": "volunteer", "content": "ACB is Y.", "session_id": 4385, "sequence_id": 155, "annotations": []}
{"role": "volunteer", "content": "So I'll write BAC + Y + CBA CBA is X", "session_id": 4385, "sequence_id": 156, "annotations": []}
{"role": "volunteer", "content": "equals 180 degree.", "session_id": 4385, "sequence_id": 157, "annotations": []}
{"role": "volunteer", "content": "and", "session_id": 4385, "sequence_id": 158, "annotations": []}
{"role": "volunteer", "content": "from here", "session_id": 4385, "sequence_id": 159, "annotations": []}
{"role": "volunteer", "content": "I'll say and the BAC equals 180 minus X minus Y.", "session_id": 4385, "sequence_id": 160, "annotations": []}
{"role": "volunteer", "content": "Is this clear now", "session_id": 4385, "sequence_id": 161, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 4385, "sequence_id": 162, "annotations": []}
{"role": "volunteer", "content": "Has it subtracted uh X and Y from both sides.", "session_id": 4385, "sequence_id": 163, "annotations": []}
{"role": "student", "content": "Mm.", "session_id": 4385, "sequence_id": 164, "annotations": []}
{"role": "student", "content": "and then you would get angle", "session_id": 4385, "sequence_id": 165, "annotations": []}
{"role": "student", "content": "BAC's equal 180 minus, yeah, OK.", "session_id": 4385, "sequence_id": 166, "annotations": []}
{"role": "volunteer", "content": "OK. Yeah", "session_id": 4385, "sequence_id": 167, "annotations": []}
{"role": "student", "content": "Mhm", "session_id": 4385, "sequence_id": 168, "annotations": []}
{"role": "volunteer", "content": "Uh, in the similar way", "session_id": 4385, "sequence_id": 169, "annotations": []}
{"role": "volunteer", "content": "if we look at this triangle, angle A, D, C, so I'm sorry, triangle ADC.", "session_id": 4385, "sequence_id": 170, "annotations": []}
{"role": "volunteer", "content": "No triangle ADC.", "session_id": 4385, "sequence_id": 171, "annotations": []}
{"role": "volunteer", "content": "Mm.", "session_id": 4385, "sequence_id": 172, "annotations": []}
{"role": "student", "content": "Um,", "session_id": 4385, "sequence_id": 173, "annotations": []}
{"role": "student", "content": "we would do the same.", "session_id": 4385, "sequence_id": 174, "annotations": []}
{"role": "volunteer", "content": "Yeah, we'll do the same for a triangle ADC", "session_id": 4385, "sequence_id": 175, "annotations": []}
{"role": "volunteer", "content": "uh I see AD plus", "session_id": 4385, "sequence_id": 176, "annotations": []}
{"role": "volunteer", "content": "right and we CAD plus", "session_id": 4385, "sequence_id": 177, "annotations": []}
{"role": "volunteer", "content": "uh", "session_id": 4385, "sequence_id": 178, "annotations": []}
{"role": "volunteer", "content": "and then ABC.", "session_id": 4385, "sequence_id": 179, "annotations": []}
{"role": "volunteer", "content": "plus", "session_id": 4385, "sequence_id": 180, "annotations": []}
{"role": "volunteer", "content": "CAD ADC and DCA.", "session_id": 4385, "sequence_id": 181, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 4385, "sequence_id": 182, "annotations": []}
{"role": "volunteer", "content": "And the DCA and the sum should be 1ically because of, because it's about all angles in a triangle 180 degree.", "session_id": 4385, "sequence_id": 183, "annotations": []}
{"role": "volunteer", "content": "Uh, now, I'll, I'll do the same thing. So, can you help me with the next steps?", "session_id": 4385, "sequence_id": 184, "annotations": []}
{"role": "student", "content": "Um", "session_id": 4385, "sequence_id": 185, "annotations": []}
{"role": "volunteer", "content": "Oh", "session_id": 4385, "sequence_id": 186, "annotations": []}
{"role": "student", "content": "well, like we would do another um", "session_id": 4385, "sequence_id": 187, "annotations": []}
{"role": "student", "content": "statement after this one.", "session_id": 4385, "sequence_id": 188, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 4385, "sequence_id": 189, "annotations": []}
{"role": "student", "content": "See, like, I understand what you did to show that they're like congruent.", "session_id": 4385, "sequence_id": 190, "annotations": []}
{"role": "student", "content": "but", "session_id": 4385, "sequence_id": 191, "annotations": []}
{"role": "student", "content": "um", "session_id": 4385, "sequence_id": 192, "annotations": []}
{"role": "student", "content": "wait, I'll add a picture to show you, like these are the statements that um I've like been using to show the reasoning that we just showed.", "session_id": 4385, "sequence_id": 193, "annotations": []}
{"role": "student", "content": "Um", "session_id": 4385, "sequence_id": 194, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 4385, "sequence_id": 195, "annotations": []}
{"role": "student", "content": "um, like right here.", "session_id": 4385, "sequence_id": 196, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 4385, "sequence_id": 197, "annotations": []}
{"role": "volunteer", "content": "Uh, reflexive cogitive substitution, vertical angles are congruent all right under the communal final angles opposite of congruent sides.", "session_id": 4385, "sequence_id": 198, "annotations": []}
{"role": "volunteer", "content": "are congruent", "session_id": 4385, "sequence_id": 199, "annotations": []}
{"role": "volunteer", "content": "OK. And I'm will bisected divides and into two.", "session_id": 4385, "sequence_id": 200, "annotations": []}
{"role": "volunteer", "content": "congruentambles.", "session_id": 4385, "sequence_id": 201, "annotations": []}
{"role": "volunteer", "content": "I'm sorry.", "session_id": 4385, "sequence_id": 202, "annotations": []}
{"role": "volunteer", "content": "Uh, but lines", "session_id": 4385, "sequence_id": 203, "annotations": []}
{"role": "volunteer", "content": "The transversal", "session_id": 4385, "sequence_id": 204, "annotations": []}
{"role": "volunteer", "content": "from congruent alternate interior angles.", "session_id": 4385, "sequence_id": 205, "annotations": []}
{"role": "volunteer", "content": "but uh you can use this statement, of course.", "session_id": 4385, "sequence_id": 206, "annotations": []}
{"role": "volunteer", "content": "I'm sorry.", "session_id": 4385, "sequence_id": 207, "annotations": []}
{"role": "student", "content": "To say that um to say the angle, BAC is congruent to PCD.", "session_id": 4385, "sequence_id": 208, "annotations": []}
{"role": "volunteer", "content": "Oh", "session_id": 4385, "sequence_id": 209, "annotations": []}
{"role": "volunteer", "content": "uh, can you please repeat? I'm sorry.", "session_id": 4385, "sequence_id": 210, "annotations": []}
{"role": "student", "content": "To say that CAD is congruent to ACD just like um we just proved.", "session_id": 4385, "sequence_id": 211, "annotations": []}
{"role": "volunteer", "content": "Yes, yes.", "session_id": 4385, "sequence_id": 212, "annotations": []}
{"role": "volunteer", "content": "Yeah, you can do that.", "session_id": 4385, "sequence_id": 213, "annotations": []}
{"role": "student", "content": "Um", "session_id": 4385, "sequence_id": 214, "annotations": []}
{"role": "volunteer", "content": "Um", "session_id": 4385, "sequence_id": 215, "annotations": []}
{"role": "student", "content": "it says that it like", "session_id": 4385, "sequence_id": 216, "annotations": []}
{"role": "student", "content": "it doesn't work because um they're either not alternate exterior angles or we haven't proven the applic applicable lines to be parallel.", "session_id": 4385, "sequence_id": 217, "annotations": []}
{"role": "volunteer", "content": "Uh, no. Oh, these are, which option did you choose, the last or the second last one?", "session_id": 4385, "sequence_id": 218, "annotations": []}
{"role": "student", "content": "Um, I just tried both, and that's what they say.", "session_id": 4385, "sequence_id": 219, "annotations": []}
{"role": "volunteer", "content": "How is that possible? So it says parallel lines cut by a transversal form congruent alternate interior angles, this should be true because", "session_id": 4385, "sequence_id": 220, "annotations": []}
{"role": "volunteer", "content": "um", "session_id": 4385, "sequence_id": 221, "annotations": []}
{"role": "volunteer", "content": "because we know that line BC is parallel to AD because this is given and we also know that AC acts as a transversal hair. So", "session_id": 4385, "sequence_id": 222, "annotations": []}
{"role": "volunteer", "content": "so your angle BCA should be congruent to CAD AD.", "session_id": 4385, "sequence_id": 223, "annotations": []}
{"role": "volunteer", "content": "because of this property.", "session_id": 4385, "sequence_id": 224, "annotations": []}
{"role": "volunteer", "content": "Um", "session_id": 4385, "sequence_id": 225, "annotations": []}
{"role": "volunteer", "content": "are you sure", "session_id": 4385, "sequence_id": 226, "annotations": []}
{"role": "student", "content": "Um, this is like also what I have so far, maybe like I'm missing something.", "session_id": 4385, "sequence_id": 227, "annotations": []}
{"role": "student", "content": "And then like when I click try it like says that um", "session_id": 4385, "sequence_id": 228, "annotations": []}
{"role": "student", "content": "it doesn't work for that proof.", "session_id": 4385, "sequence_id": 229, "annotations": []}
{"role": "volunteer", "content": "Mm", "session_id": 4385, "sequence_id": 230, "annotations": []}
{"role": "volunteer", "content": "Uh, can you share your screen if that's possible?", "session_id": 4385, "sequence_id": 231, "annotations": []}
{"role": "student", "content": "Um, how", "session_id": 4385, "sequence_id": 232, "annotations": []}
{"role": "volunteer", "content": "Mm.", "session_id": 4385, "sequence_id": 233, "annotations": []}
{"role": "volunteer", "content": "Oh, OK. Um", "session_id": 4385, "sequence_id": 234, "annotations": []}
{"role": "student", "content": "I said like a picture of my screen, like so far.", "session_id": 4385, "sequence_id": 235, "annotations": []}
{"role": "student", "content": "um, on the website.", "session_id": 4385, "sequence_id": 236, "annotations": []}
{"role": "student", "content": "below where we did the math.", "session_id": 4385, "sequence_id": 237, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 4385, "sequence_id": 238, "annotations": []}
{"role": "volunteer", "content": "then you of other BCA", "session_id": 4385, "sequence_id": 239, "annotations": []}
{"role": "volunteer", "content": "is I went to CAD PCA.", "session_id": 4385, "sequence_id": 240, "annotations": []}
{"role": "volunteer", "content": "E C A C A D, OK.", "session_id": 4385, "sequence_id": 241, "annotations": []}
{"role": "volunteer", "content": "Uh panel lines set by transversal um form alternated interior angles. This is correct, and AC is AC is congruent to AC.", "session_id": 4385, "sequence_id": 242, "annotations": []}
{"role": "volunteer", "content": "uh reflexive property and then", "session_id": 4385, "sequence_id": 243, "annotations": []}
{"role": "volunteer", "content": "angle BAC and ACD.", "session_id": 4385, "sequence_id": 244, "annotations": []}
{"role": "volunteer", "content": "BAC", "session_id": 4385, "sequence_id": 245, "annotations": []}
{"role": "volunteer", "content": "B A C N A C D OK.", "session_id": 4385, "sequence_id": 246, "annotations": []}
{"role": "volunteer", "content": "Uh pal and cut patterns were still form concrete alternate interior angle.", "session_id": 4385, "sequence_id": 247, "annotations": []}
{"role": "volunteer", "content": "Yeah, this is, this is what I'm telling you.", "session_id": 4385, "sequence_id": 248, "annotations": []}
{"role": "volunteer", "content": "Uh, for your", "session_id": 4385, "sequence_id": 249, "annotations": []}
{"role": "student", "content": "So far, like up until question number 3, it says that everything is right. Um, step number 3, and then when it comes to step number 4, it's, that's when it gets wrong.", "session_id": 4385, "sequence_id": 250, "annotations": []}
{"role": "volunteer", "content": "Yeah, exactly. You, you can't say that this is like, I mean, over here, it's correct because say", "session_id": 4385, "sequence_id": 251, "annotations": []}
{"role": "student", "content": "OK", "session_id": 4385, "sequence_id": 252, "annotations": []}
{"role": "volunteer", "content": "uh this is a, this is, right? And you know that these signs are parallel, so this angle should be", "session_id": 4385, "sequence_id": 253, "annotations": []}
{"role": "volunteer", "content": "just a second", "session_id": 4385, "sequence_id": 254, "annotations": []}
{"role": "volunteer", "content": "This is your line.", "session_id": 4385, "sequence_id": 255, "annotations": []}
{"role": "volunteer", "content": "We can say that this angle will be equal to this angle because we know that these two lines are parallel and this acts as a transversal, but how can you say that this angle will be equal to this angle. We don't know whether A, B, and CD are parallel or not.", "session_id": 4385, "sequence_id": 256, "annotations": []}
{"role": "volunteer", "content": "So you can't use this seasoning over here. I mean, uh, the statement is correct, but the reasoning here is wrong.", "session_id": 4385, "sequence_id": 257, "annotations": []}
{"role": "volunteer", "content": "So.", "session_id": 4385, "sequence_id": 258, "annotations": []}
{"role": "volunteer", "content": "yeah.", "session_id": 4385, "sequence_id": 259, "annotations": []}
{"role": "student", "content": "Mm", "session_id": 4385, "sequence_id": 260, "annotations": []}
{"role": "volunteer", "content": "Mhm.", "session_id": 4385, "sequence_id": 261, "annotations": []}
{"role": "student", "content": "um", "session_id": 4385, "sequence_id": 262, "annotations": []}
{"role": "volunteer", "content": "Mm.", "session_id": 4385, "sequence_id": 263, "annotations": []}
{"role": "student", "content": "I'm", "session_id": 4385, "sequence_id": 264, "annotations": []}
{"role": "student", "content": "trying other possible reasonings, but", "session_id": 4385, "sequence_id": 265, "annotations": []}
{"role": "student", "content": "um", "session_id": 4385, "sequence_id": 266, "annotations": []}
{"role": "volunteer", "content": "Oh, what are the other questions?", "session_id": 4385, "sequence_id": 267, "annotations": []}
{"role": "student", "content": "there's none of them seem to work.", "session_id": 4385, "sequence_id": 268, "annotations": []}
{"role": "volunteer", "content": "Reflexive property won't work here.", "session_id": 4385, "sequence_id": 269, "annotations": []}
{"role": "volunteer", "content": "Uh", "session_id": 4385, "sequence_id": 270, "annotations": []}
{"role": "volunteer", "content": "that", "session_id": 4385, "sequence_id": 271, "annotations": []}
{"role": "student", "content": "Um, well, technically reflexive property. I don't think reflexive property would work because it has to be the same exact angle.", "session_id": 4385, "sequence_id": 272, "annotations": []}
{"role": "volunteer", "content": "Yeah, about to saying the same thing like it won't work.", "session_id": 4385, "sequence_id": 273, "annotations": []}
{"role": "volunteer", "content": "All right, I'm", "session_id": 4385, "sequence_id": 274, "annotations": []}
{"role": "student", "content": "Yeah, none of them work for that statement.", "session_id": 4385, "sequence_id": 275, "annotations": []}
{"role": "volunteer", "content": "this help to work.", "session_id": 4385, "sequence_id": 276, "annotations": []}
{"role": "volunteer", "content": "vertical angles are congruent, these are not vertical angles, in triangle angles opposite to confluent sides are congruent.", "session_id": 4385, "sequence_id": 277, "annotations": []}
{"role": "volunteer", "content": "Um.", "session_id": 4385, "sequence_id": 278, "annotations": []}
{"role": "volunteer", "content": "angles opposite to congruent sides.", "session_id": 4385, "sequence_id": 279, "annotations": []}
{"role": "volunteer", "content": "So do we know that these are consument sides.", "session_id": 4385, "sequence_id": 280, "annotations": []}
{"role": "volunteer", "content": "No, we don't know that, so.", "session_id": 4385, "sequence_id": 281, "annotations": []}
{"role": "volunteer", "content": "this will also not work.", "session_id": 4385, "sequence_id": 282, "annotations": []}
{"role": "volunteer", "content": "An angle bisector divides an angle into two congruent angles.", "session_id": 4385, "sequence_id": 283, "annotations": []}
{"role": "volunteer", "content": "but we also don't know whether this is an angle bisector or not.", "session_id": 4385, "sequence_id": 284, "annotations": []}
{"role": "volunteer", "content": "So that is also not a correct reasoning.", "session_id": 4385, "sequence_id": 285, "annotations": []}
{"role": "volunteer", "content": "if I also eliminate this", "session_id": 4385, "sequence_id": 286, "annotations": []}
{"role": "volunteer", "content": "and", "session_id": 4385, "sequence_id": 287, "annotations": []}
{"role": "volunteer", "content": "this also won't work", "session_id": 4385, "sequence_id": 288, "annotations": []}
{"role": "volunteer", "content": "uh exterior angles for exterior angles, what can we say?", "session_id": 4385, "sequence_id": 289, "annotations": []}
{"role": "volunteer", "content": "Um, these are not exterior angles.", "session_id": 4385, "sequence_id": 290, "annotations": []}
{"role": "volunteer", "content": "So this also won't work.", "session_id": 4385, "sequence_id": 291, "annotations": []}
{"role": "volunteer", "content": "So the only two options we have is transitive", "session_id": 4385, "sequence_id": 292, "annotations": []}
{"role": "volunteer", "content": "or substitution", "session_id": 4385, "sequence_id": 293, "annotations": []}
{"role": "volunteer", "content": "No", "session_id": 4385, "sequence_id": 294, "annotations": []}
{"role": "student", "content": "Um, when I used", "session_id": 4385, "sequence_id": 295, "annotations": []}
{"role": "student", "content": "both of them, none of them work.", "session_id": 4385, "sequence_id": 296, "annotations": []}
{"role": "volunteer", "content": "they don't, oh, they don't work. OK.", "session_id": 4385, "sequence_id": 297, "annotations": []}
{"role": "volunteer", "content": "Uh, OK.", "session_id": 4385, "sequence_id": 298, "annotations": []}
{"role": "student", "content": "No, maybe we have to do like a statement before we get to the statement.", "session_id": 4385, "sequence_id": 299, "annotations": []}
{"role": "volunteer", "content": "Um, so you are saying that we should change the statement.", "session_id": 4385, "sequence_id": 300, "annotations": []}
{"role": "student", "content": "yes", "session_id": 4385, "sequence_id": 301, "annotations": []}
{"role": "volunteer", "content": "Um, OK", "session_id": 4385, "sequence_id": 302, "annotations": []}
{"role": "volunteer", "content": "Mm", "session_id": 4385, "sequence_id": 303, "annotations": []}
{"role": "volunteer", "content": "So we have", "session_id": 4385, "sequence_id": 304, "annotations": []}
{"role": "student", "content": "sorry my mice is glitching again", "session_id": 4385, "sequence_id": 305, "annotations": []}
{"role": "volunteer", "content": "ASA, SSS.", "session_id": 4385, "sequence_id": 306, "annotations": []}
{"role": "volunteer", "content": "SAS", "session_id": 4385, "sequence_id": 307, "annotations": []}
{"role": "volunteer", "content": "Just, just give me a minute. Um, I am thinking about this", "session_id": 4385, "sequence_id": 308, "annotations": []}
{"role": "student", "content": "I figured it out", "session_id": 4385, "sequence_id": 309, "annotations": []}
{"role": "volunteer", "content": "OK. That's great", "session_id": 4385, "sequence_id": 310, "annotations": []}
{"role": "student", "content": "The answer is AAS", "session_id": 4385, "sequence_id": 311, "annotations": []}
{"role": "student", "content": "with the final proof", "session_id": 4385, "sequence_id": 312, "annotations": []}
{"role": "volunteer", "content": "AAS Yeah, AES is another criteria which we can use.", "session_id": 4385, "sequence_id": 313, "annotations": []}
{"role": "volunteer", "content": "So AAS because this angle this angle and this site", "session_id": 4385, "sequence_id": 314, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 4385, "sequence_id": 315, "annotations": []}
{"role": "volunteer", "content": "we can use that", "session_id": 4385, "sequence_id": 316, "annotations": []}
{"role": "student", "content": "So we can just say triangle ABC is congruent to Triangle", "session_id": 4385, "sequence_id": 317, "annotations": []}
{"role": "volunteer", "content": "ABC is congruent to.", "session_id": 4385, "sequence_id": 318, "annotations": []}
{"role": "student", "content": "CDA", "session_id": 4385, "sequence_id": 319, "annotations": []}
{"role": "volunteer", "content": "It it may", "session_id": 4385, "sequence_id": 320, "annotations": []}
{"role": "volunteer", "content": "you are saying it's coming to CDA.", "session_id": 4385, "sequence_id": 321, "annotations": []}
{"role": "volunteer", "content": "A B C C D A", "session_id": 4385, "sequence_id": 322, "annotations": []}
{"role": "volunteer", "content": "A B C C D A. Yeah. Yeah, yeah, correct.", "session_id": 4385, "sequence_id": 323, "annotations": []}
{"role": "volunteer", "content": "Well done", "session_id": 4385, "sequence_id": 324, "annotations": []}
{"role": "volunteer", "content": "Basically, we have 5", "session_id": 4385, "sequence_id": 325, "annotations": []}
{"role": "student", "content": "Thank you!", "session_id": 4385, "sequence_id": 326, "annotations": []}
{"role": "volunteer", "content": "uh congruency criteria.", "session_id": 4385, "sequence_id": 327, "annotations": []}
{"role": "volunteer", "content": "Yeah, sure", "session_id": 4385, "sequence_id": 328, "annotations": []}
{"role": "volunteer", "content": "Do uh do you want me to help you with any other question?", "session_id": 4385, "sequence_id": 329, "annotations": []}
{"role": "student", "content": "Yes Please!", "session_id": 4385, "sequence_id": 330, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 4385, "sequence_id": 331, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 4385, "sequence_id": 332, "annotations": []}
{"role": "volunteer", "content": "Uh, can I just clear the whiteboard or do you wanna", "session_id": 4385, "sequence_id": 333, "annotations": []}
{"role": "volunteer", "content": "write something down", "session_id": 4385, "sequence_id": 334, "annotations": []}
{"role": "student", "content": "we can clear is!", "session_id": 4385, "sequence_id": 335, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 4385, "sequence_id": 336, "annotations": []}
{"role": "volunteer", "content": "Just uh share the next question and we can work on it together.", "session_id": 4385, "sequence_id": 337, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 4385, "sequence_id": 338, "annotations": []}
{"role": "volunteer", "content": "So", "session_id": 4385, "sequence_id": 339, "annotations": []}
{"role": "volunteer", "content": "uh, is the figure same, or, or, or the figure is not given, I guess.", "session_id": 4385, "sequence_id": 340, "annotations": []}
{"role": "volunteer", "content": "That's good", "session_id": 4385, "sequence_id": 341, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 4385, "sequence_id": 342, "annotations": []}
{"role": "volunteer", "content": "So given angle", "session_id": 4385, "sequence_id": 343, "annotations": []}
{"role": "volunteer", "content": "A B D", "session_id": 4385, "sequence_id": 344, "annotations": []}
{"role": "volunteer", "content": "is congruent to anger DCA.", "session_id": 4385, "sequence_id": 345, "annotations": []}
{"role": "volunteer", "content": "BC is perpendicular to AD and.", "session_id": 4385, "sequence_id": 346, "annotations": []}
{"role": "volunteer", "content": "AD is perpendicular to CD through triangle BAD is compliment to CDA and", "session_id": 4385, "sequence_id": 347, "annotations": []}
{"role": "volunteer", "content": "and it's OK, given is over here.", "session_id": 4385, "sequence_id": 348, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 4385, "sequence_id": 349, "annotations": []}
{"role": "volunteer", "content": "So the 5 criteria that we have", "session_id": 4385, "sequence_id": 350, "annotations": []}
{"role": "volunteer", "content": "SSS", "session_id": 4385, "sequence_id": 351, "annotations": []}
{"role": "volunteer", "content": "ASA", "session_id": 4385, "sequence_id": 352, "annotations": []}
{"role": "volunteer", "content": "SAS", "session_id": 4385, "sequence_id": 353, "annotations": []}
{"role": "volunteer", "content": "A A S", "session_id": 4385, "sequence_id": 354, "annotations": []}
{"role": "volunteer", "content": "RHS", "session_id": 4385, "sequence_id": 355, "annotations": []}
{"role": "volunteer", "content": "Triangle BAD.", "session_id": 4385, "sequence_id": 356, "annotations": []}
{"role": "volunteer", "content": "Let, let me just highlight these triangles for you.", "session_id": 4385, "sequence_id": 357, "annotations": []}
{"role": "student", "content": "For this one Im taking notes so it may take longer. Just a bit tho!", "session_id": 4385, "sequence_id": 358, "annotations": []}
{"role": "volunteer", "content": "318", "session_id": 4385, "sequence_id": 359, "annotations": []}
{"role": "volunteer", "content": "OK, no problem", "session_id": 4385, "sequence_id": 360, "annotations": []}
{"role": "volunteer", "content": "B A D C D A.", "session_id": 4385, "sequence_id": 361, "annotations": []}
{"role": "volunteer", "content": "So one thing which is uh very clear.", "session_id": 4385, "sequence_id": 362, "annotations": []}
{"role": "volunteer", "content": "is that both of them have uh these 90 degree angles, right?", "session_id": 4385, "sequence_id": 363, "annotations": []}
{"role": "student", "content": "Yes!", "session_id": 4385, "sequence_id": 364, "annotations": []}
{"role": "volunteer", "content": "So we can very easily say that, uh, these, these angles will be congruent. So I can say that anger BAD.", "session_id": 4385, "sequence_id": 365, "annotations": []}
{"role": "volunteer", "content": "is equal to angle", "session_id": 4385, "sequence_id": 366, "annotations": []}
{"role": "volunteer", "content": "Ace ADC.", "session_id": 4385, "sequence_id": 367, "annotations": []}
{"role": "volunteer", "content": "because both of them are 90 degree.", "session_id": 4385, "sequence_id": 368, "annotations": []}
{"role": "volunteer", "content": "and this is sort of a given statement.", "session_id": 4385, "sequence_id": 369, "annotations": []}
{"role": "volunteer", "content": "Uh, what else can we say?", "session_id": 4385, "sequence_id": 370, "annotations": []}
{"role": "volunteer", "content": "We can say that this airline AD is common in both of those, so we can use that as a reflexive property. So", "session_id": 4385, "sequence_id": 371, "annotations": []}
{"role": "volunteer", "content": "the equals", "session_id": 4385, "sequence_id": 372, "annotations": []}
{"role": "volunteer", "content": "AD", "session_id": 4385, "sequence_id": 373, "annotations": []}
{"role": "volunteer", "content": "reflexive property.", "session_id": 4385, "sequence_id": 374, "annotations": []}
{"role": "volunteer", "content": "So now we have one angle and we have one side.", "session_id": 4385, "sequence_id": 375, "annotations": []}
{"role": "volunteer", "content": "What else can we do", "session_id": 4385, "sequence_id": 376, "annotations": []}
{"role": "volunteer", "content": "Mm", "session_id": 4385, "sequence_id": 377, "annotations": []}
{"role": "volunteer", "content": "We also know that angle ABD, ABD this angle.", "session_id": 4385, "sequence_id": 378, "annotations": []}
{"role": "volunteer", "content": "is equal to anger DCA this angle.", "session_id": 4385, "sequence_id": 379, "annotations": []}
{"role": "volunteer", "content": "These angles are equal because it's given", "session_id": 4385, "sequence_id": 380, "annotations": []}
{"role": "volunteer", "content": "angle", "session_id": 4385, "sequence_id": 381, "annotations": []}
{"role": "volunteer", "content": "A B D equals angle A, C, D", "session_id": 4385, "sequence_id": 382, "annotations": []}
{"role": "volunteer", "content": "because this is given", "session_id": 4385, "sequence_id": 383, "annotations": []}
{"role": "volunteer", "content": "So now we have", "session_id": 4385, "sequence_id": 384, "annotations": []}
{"role": "volunteer", "content": "two angles and one side, and the side, uh, this is the site that we are talking about. The site is not included. So by AAS.", "session_id": 4385, "sequence_id": 385, "annotations": []}
{"role": "volunteer", "content": "we can say that our two triangles are congruent.", "session_id": 4385, "sequence_id": 386, "annotations": []}
{"role": "volunteer", "content": "right", "session_id": 4385, "sequence_id": 387, "annotations": []}
{"role": "volunteer", "content": "Is this clear", "session_id": 4385, "sequence_id": 388, "annotations": []}
{"role": "student", "content": "Yes!", "session_id": 4385, "sequence_id": 389, "annotations": []}
{"role": "volunteer", "content": "OK. So by AAS", "session_id": 4385, "sequence_id": 390, "annotations": []}
{"role": "volunteer", "content": "uh, now let's try naming those triangles.", "session_id": 4385, "sequence_id": 391, "annotations": []}
{"role": "volunteer", "content": "or, or it's the name is already given, we can just", "session_id": 4385, "sequence_id": 392, "annotations": []}
{"role": "volunteer", "content": "uh write that from here. Triangle BAD.", "session_id": 4385, "sequence_id": 393, "annotations": []}
{"role": "volunteer", "content": "tangle BAD is congruent to triangle", "session_id": 4385, "sequence_id": 394, "annotations": []}
{"role": "volunteer", "content": "CDA", "session_id": 4385, "sequence_id": 395, "annotations": []}
{"role": "volunteer", "content": "Yeah, basically, that's it", "session_id": 4385, "sequence_id": 396, "annotations": []}
{"role": "volunteer", "content": "This is it. So, if you have any questions, then ask.", "session_id": 4385, "sequence_id": 397, "annotations": []}
{"role": "student", "content": "For the first line you have", "session_id": 4385, "sequence_id": 398, "annotations": []}
{"role": "student", "content": "whats a reasoning", "session_id": 4385, "sequence_id": 399, "annotations": []}
{"role": "volunteer", "content": "For the 1st 9 year", "session_id": 4385, "sequence_id": 400, "annotations": []}
{"role": "volunteer", "content": "Uh, what's the reasoning?", "session_id": 4385, "sequence_id": 401, "annotations": []}
{"role": "volunteer", "content": "Um", "session_id": 4385, "sequence_id": 402, "annotations": []}
{"role": "volunteer", "content": "uh, can you just share what the, what type of reasonings do you have that, that list of reasonings?", "session_id": 4385, "sequence_id": 403, "annotations": []}
{"role": "volunteer", "content": "I can tell you from that", "session_id": 4385, "sequence_id": 404, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 4385, "sequence_id": 405, "annotations": []}
{"role": "volunteer", "content": "So these are not vertical angles.", "session_id": 4385, "sequence_id": 406, "annotations": []}
{"role": "volunteer", "content": "So this one is wrong.", "session_id": 4385, "sequence_id": 407, "annotations": []}
{"role": "volunteer", "content": "All right angles are congruent.", "session_id": 4385, "sequence_id": 408, "annotations": []}
{"role": "volunteer", "content": "Yeah, maybe you can use this one.", "session_id": 4385, "sequence_id": 409, "annotations": []}
{"role": "volunteer", "content": "because both of these are right angles, so they should be congruent.", "session_id": 4385, "sequence_id": 410, "annotations": []}
{"role": "student", "content": "Its still not working", "session_id": 4385, "sequence_id": 411, "annotations": []}
{"role": "volunteer", "content": "It's not working. Oh my God, this is strange.", "session_id": 4385, "sequence_id": 412, "annotations": []}
{"role": "student", "content": "I tried that before", "session_id": 4385, "sequence_id": 413, "annotations": []}
{"role": "volunteer", "content": "Um", "session_id": 4385, "sequence_id": 414, "annotations": []}
{"role": "volunteer", "content": "uh, what else could be the issue?", "session_id": 4385, "sequence_id": 415, "annotations": []}
{"role": "volunteer", "content": "Mm", "session_id": 4385, "sequence_id": 416, "annotations": []}
{"role": "volunteer", "content": "We know that these are right angles because it's sort of given.", "session_id": 4385, "sequence_id": 417, "annotations": []}
{"role": "volunteer", "content": "you know, what a substitution? Can you explain substitution to me?", "session_id": 4385, "sequence_id": 418, "annotations": []}
{"role": "student", "content": "Like if we have a variable and we can substitute that for a number we may know", "session_id": 4385, "sequence_id": 419, "annotations": []}
{"role": "student", "content": "90+x=180", "session_id": 4385, "sequence_id": 420, "annotations": []}
{"role": "volunteer", "content": "Like we have a variable and we can substitute that for uh", "session_id": 4385, "sequence_id": 421, "annotations": []}
{"role": "volunteer", "content": "value that we know. OK.", "session_id": 4385, "sequence_id": 422, "annotations": []}
{"role": "volunteer", "content": "Um, OK", "session_id": 4385, "sequence_id": 423, "annotations": []}
{"role": "volunteer", "content": "So I don't think this is substitution.", "session_id": 4385, "sequence_id": 424, "annotations": []}
{"role": "volunteer", "content": "If I also eliminate this in a triangle angle opposite of congruent sides are.", "session_id": 4385, "sequence_id": 425, "annotations": []}
{"role": "volunteer", "content": "congruent, we also would use this because we don't know whether these sides are congruent or not.", "session_id": 4385, "sequence_id": 426, "annotations": []}
{"role": "volunteer", "content": "An angle bisector, there is no angle bisected here.", "session_id": 4385, "sequence_id": 427, "annotations": []}
{"role": "volunteer", "content": "parallel lines cut by a transversal", "session_id": 4385, "sequence_id": 428, "annotations": []}
{"role": "volunteer", "content": "Do we know that these lines are parallel?", "session_id": 4385, "sequence_id": 429, "annotations": []}
{"role": "student", "content": "no", "session_id": 4385, "sequence_id": 430, "annotations": []}
{"role": "volunteer", "content": "or congruit alternate interior, so, yeah, and also they're talking about alternative ear and there is no such rule of alternate interior angles here. So this also shouldn't be our answer. Parallel lines cut by or transversal form congruent alternate exterior angles", "session_id": 4385, "sequence_id": 431, "annotations": []}
{"role": "volunteer", "content": "alternate exterior angles. We're not talking about them.", "session_id": 4385, "sequence_id": 432, "annotations": []}
{"role": "volunteer", "content": "They shouldn't also be an answer, so ideally it should be", "session_id": 4385, "sequence_id": 433, "annotations": []}
{"role": "volunteer", "content": "all right angles are congruent, but I don't know why is that not working?", "session_id": 4385, "sequence_id": 434, "annotations": []}
{"role": "volunteer", "content": "Uh, maybe we can think of something else then.", "session_id": 4385, "sequence_id": 435, "annotations": []}
{"role": "volunteer", "content": "So", "session_id": 4385, "sequence_id": 436, "annotations": []}
{"role": "volunteer", "content": "hm", "session_id": 4385, "sequence_id": 437, "annotations": []}
{"role": "volunteer", "content": "Uh, they have given us that BC is perpendicular to AD.", "session_id": 4385, "sequence_id": 438, "annotations": []}
{"role": "volunteer", "content": "BC is", "session_id": 4385, "sequence_id": 439, "annotations": []}
{"role": "volunteer", "content": "at least one of them to.", "session_id": 4385, "sequence_id": 440, "annotations": []}
{"role": "student", "content": "It shows this when I right that", "session_id": 4385, "sequence_id": 441, "annotations": []}
{"role": "volunteer", "content": "is not proven or is not proven a right angle.", "session_id": 4385, "sequence_id": 442, "annotations": []}
{"role": "volunteer", "content": "Let's let's see that", "session_id": 4385, "sequence_id": 443, "annotations": []}
{"role": "volunteer", "content": "So BC is perpendicular to AD", "session_id": 4385, "sequence_id": 444, "annotations": []}
{"role": "volunteer", "content": "which means that angle BAD should be 90 degree and AD is perpendicular to CD, which means that this angle should also a 90 degree.", "session_id": 4385, "sequence_id": 445, "annotations": []}
{"role": "volunteer", "content": "So", "session_id": 4385, "sequence_id": 446, "annotations": []}
{"role": "volunteer", "content": "um", "session_id": 4385, "sequence_id": 447, "annotations": []}
{"role": "volunteer", "content": "B A D", "session_id": 4385, "sequence_id": 448, "annotations": []}
{"role": "volunteer", "content": "Uh, what do you think should be the problem here?", "session_id": 4385, "sequence_id": 449, "annotations": []}
{"role": "volunteer", "content": "Because according to me it's, it's correct.", "session_id": 4385, "sequence_id": 450, "annotations": []}
{"role": "volunteer", "content": "It should be correct", "session_id": 4385, "sequence_id": 451, "annotations": []}
{"role": "volunteer", "content": "But it's not working, so.", "session_id": 4385, "sequence_id": 452, "annotations": []}
{"role": "volunteer", "content": "um", "session_id": 4385, "sequence_id": 453, "annotations": []}
{"role": "student", "content": "hmm", "session_id": 4385, "sequence_id": 454, "annotations": []}
{"role": "volunteer", "content": "at least one of the two angels I mentioned is not proven right angle", "session_id": 4385, "sequence_id": 455, "annotations": []}
{"role": "volunteer", "content": "How is it not a proven right angle. It's it's, it's given in the question.", "session_id": 4385, "sequence_id": 456, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 4385, "sequence_id": 457, "annotations": []}
{"role": "volunteer", "content": "So what else can we do?", "session_id": 4385, "sequence_id": 458, "annotations": []}
{"role": "volunteer", "content": "Uh, have you entered the other statements correctly?", "session_id": 4385, "sequence_id": 459, "annotations": []}
{"role": "student", "content": "I did this so far", "session_id": 4385, "sequence_id": 460, "annotations": []}
{"role": "volunteer", "content": "A convent to AD reflexive.", "session_id": 4385, "sequence_id": 461, "annotations": []}
{"role": "volunteer", "content": "and", "session_id": 4385, "sequence_id": 462, "annotations": []}
{"role": "volunteer", "content": "PAD OK.", "session_id": 4385, "sequence_id": 463, "annotations": []}
{"role": "volunteer", "content": "APT is", "session_id": 4385, "sequence_id": 464, "annotations": []}
{"role": "student", "content": "we just need one more angle", "session_id": 4385, "sequence_id": 465, "annotations": []}
{"role": "volunteer", "content": "uh, everything seems correct to me. I don't know what the problem is.", "session_id": 4385, "sequence_id": 466, "annotations": []}
{"role": "student", "content": "we have angle and side so far", "session_id": 4385, "sequence_id": 467, "annotations": []}
{"role": "volunteer", "content": "B A D N A D C B A D N A D C.", "session_id": 4385, "sequence_id": 468, "annotations": []}
{"role": "volunteer", "content": "We have other, oh, so you, you need a third statement?", "session_id": 4385, "sequence_id": 469, "annotations": []}
{"role": "volunteer", "content": "So you can use uh this, this should be your, this also should be one of your statements, right?", "session_id": 4385, "sequence_id": 470, "annotations": []}
{"role": "volunteer", "content": "We also have this here", "session_id": 4385, "sequence_id": 471, "annotations": []}
{"role": "volunteer", "content": "So this is our angle, this is our side. This is angle. So by AAS, we are proving this", "session_id": 4385, "sequence_id": 472, "annotations": []}
{"role": "student", "content": "can we use vertical angles y saying that BEC is congruent to AED", "session_id": 4385, "sequence_id": 473, "annotations": []}
{"role": "volunteer", "content": "So we can use vertical angles", "session_id": 4385, "sequence_id": 474, "annotations": []}
{"role": "volunteer", "content": "as saying that the ECH congruent.", "session_id": 4385, "sequence_id": 475, "annotations": []}
{"role": "volunteer", "content": "BEC", "session_id": 4385, "sequence_id": 476, "annotations": []}
{"role": "volunteer", "content": "to AED.", "session_id": 4385, "sequence_id": 477, "annotations": []}
{"role": "student", "content": "It worked!", "session_id": 4385, "sequence_id": 478, "annotations": []}
{"role": "volunteer", "content": "Uh, I'm sorry, I'm not able to understand what you did.", "session_id": 4385, "sequence_id": 479, "annotations": []}
{"role": "student", "content": "I said that", "session_id": 4385, "sequence_id": 480, "annotations": []}
{"role": "student", "content": "BEC is congruent to AED", "session_id": 4385, "sequence_id": 481, "annotations": []}
{"role": "volunteer", "content": "BEC is congruent to AED.", "session_id": 4385, "sequence_id": 482, "annotations": []}
{"role": "student", "content": "by saying they are vertical angles", "session_id": 4385, "sequence_id": 483, "annotations": []}
{"role": "volunteer", "content": "BEC for going to AED right because they are, they are vertically opposite angles.", "session_id": 4385, "sequence_id": 484, "annotations": []}
{"role": "volunteer", "content": "Yeah, correct", "session_id": 4385, "sequence_id": 485, "annotations": []}
{"role": "volunteer", "content": "The vertical angles, right?", "session_id": 4385, "sequence_id": 486, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 4385, "sequence_id": 487, "annotations": []}
{"role": "student", "content": "and we can say the same for BEA and CED", "session_id": 4385, "sequence_id": 488, "annotations": []}
{"role": "volunteer", "content": "And we can say the same for BEA B E A", "session_id": 4385, "sequence_id": 489, "annotations": []}
{"role": "volunteer", "content": "and CED C E D.", "session_id": 4385, "sequence_id": 490, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 4385, "sequence_id": 491, "annotations": []}
{"role": "volunteer", "content": "These numbers are also equal because they are vertical albums.", "session_id": 4385, "sequence_id": 492, "annotations": []}
{"role": "volunteer", "content": "But how will that help you to, to prove that trianger BAT is congruent to CDA.", "session_id": 4385, "sequence_id": 493, "annotations": []}
{"role": "volunteer", "content": "Um", "session_id": 4385, "sequence_id": 494, "annotations": []}
{"role": "student", "content": "Maybe something about like how they are both having something to do with E", "session_id": 4385, "sequence_id": 495, "annotations": []}
{"role": "volunteer", "content": "so that these angles like.", "session_id": 4385, "sequence_id": 496, "annotations": []}
{"role": "student", "content": "or another reflecive perhaps", "session_id": 4385, "sequence_id": 497, "annotations": []}
{"role": "volunteer", "content": "OK, OK. I, I got the point now.", "session_id": 4385, "sequence_id": 498, "annotations": []}
{"role": "volunteer", "content": "OK, so, so", "session_id": 4385, "sequence_id": 499, "annotations": []}
{"role": "volunteer", "content": "um", "session_id": 4385, "sequence_id": 500, "annotations": []}
{"role": "volunteer", "content": "if doesn't this angle are equal,", "session_id": 4385, "sequence_id": 501, "annotations": []}
{"role": "volunteer", "content": "then these sides should also be equal. There's a property like this, so by this we can say that AB will be equal to CD and that we have this angle which, which is equal so we have this angle here, the side here", "session_id": 4385, "sequence_id": 502, "annotations": []}
{"role": "volunteer", "content": "uh", "session_id": 4385, "sequence_id": 503, "annotations": []}
{"role": "volunteer", "content": "and we also have this side here", "session_id": 4385, "sequence_id": 504, "annotations": []}
{"role": "volunteer", "content": "but we don't have any criteria called a", "session_id": 4385, "sequence_id": 505, "annotations": []}
{"role": "volunteer", "content": "ASSR S S A", "session_id": 4385, "sequence_id": 506, "annotations": []}
{"role": "volunteer", "content": "So, how is it working?", "session_id": 4385, "sequence_id": 507, "annotations": []}
{"role": "volunteer", "content": "Mm", "session_id": 4385, "sequence_id": 508, "annotations": []}
{"role": "volunteer", "content": "Well, you can turn your mic on if you wanna say.", "session_id": 4385, "sequence_id": 509, "annotations": []}
{"role": "student", "content": "My mic is not working since the mic itself is not in best condition do its not labeling me", "session_id": 4385, "sequence_id": 510, "annotations": []}
{"role": "student", "content": "abling", "session_id": 4385, "sequence_id": 511, "annotations": []}
{"role": "volunteer", "content": "OK, OK. Oh, no problem.", "session_id": 4385, "sequence_id": 512, "annotations": []}
{"role": "volunteer", "content": "No problem", "session_id": 4385, "sequence_id": 513, "annotations": []}
{"role": "student", "content": "hmm we can say that like", "session_id": 4385, "sequence_id": 514, "annotations": []}
{"role": "volunteer", "content": "Yeah, maybe we can say like that.", "session_id": 4385, "sequence_id": 515, "annotations": []}
{"role": "volunteer", "content": "But uh the, this is still strange that if we have a very clear tra solution like this, why is uh", "session_id": 4385, "sequence_id": 516, "annotations": []}
{"role": "volunteer", "content": "it not accepting this as a solution. It's, it's still strange, don't you think so?", "session_id": 4385, "sequence_id": 517, "annotations": []}
{"role": "volunteer", "content": "Because this solution is very clear", "session_id": 4385, "sequence_id": 518, "annotations": []}
{"role": "volunteer", "content": "um, but it's fine. OK. Um, we can move to the next question if you want.", "session_id": 4385, "sequence_id": 519, "annotations": []}
{"role": "student", "content": "It wont let me move on until I complete it", "session_id": 4385, "sequence_id": 520, "annotations": []}
{"role": "volunteer", "content": "Uh, so you told me that", "session_id": 4385, "sequence_id": 521, "annotations": []}
{"role": "volunteer", "content": "I", "session_id": 4385, "sequence_id": 522, "annotations": []}
{"role": "volunteer", "content": "you just used this property and it worked so, so isn't your uh question solved now?", "session_id": 4385, "sequence_id": 523, "annotations": []}
{"role": "volunteer", "content": "I, I thought you saw that", "session_id": 4385, "sequence_id": 524, "annotations": []}
{"role": "volunteer", "content": "OK, so we still need to think about this, so.", "session_id": 4385, "sequence_id": 525, "annotations": []}
{"role": "volunteer", "content": "um OK", "session_id": 4385, "sequence_id": 526, "annotations": []}
{"role": "student", "content": "This is how far I am", "session_id": 4385, "sequence_id": 527, "annotations": []}
{"role": "volunteer", "content": "OK, OK", "session_id": 4385, "sequence_id": 528, "annotations": []}
{"role": "student", "content": "and 6 is wrong", "session_id": 4385, "sequence_id": 529, "annotations": []}
{"role": "volunteer", "content": "So you use reflexive property and then you used vertical angles congruency. So you can, you can say uh that is exactly what I'm saying.", "session_id": 4385, "sequence_id": 530, "annotations": []}
{"role": "volunteer", "content": "that", "session_id": 4385, "sequence_id": 531, "annotations": []}
{"role": "volunteer", "content": "uh, you can't use these properties here.", "session_id": 4385, "sequence_id": 532, "annotations": []}
{"role": "volunteer", "content": "because they won't give you anything.", "session_id": 4385, "sequence_id": 533, "annotations": []}
{"role": "volunteer", "content": "I mean, this is correct your statement is also correct. Your reasoning is also correct, but how will you prove that these triangles are congruent by these statements.", "session_id": 4385, "sequence_id": 534, "annotations": []}
{"role": "volunteer", "content": "You're using AC congruent to AC.", "session_id": 4385, "sequence_id": 535, "annotations": []}
{"role": "volunteer", "content": "OK. But uh what will you do from that? How will you prove that these two triangles are congruent.", "session_id": 4385, "sequence_id": 536, "annotations": []}
{"role": "student", "content": "Im not sur", "session_id": 4385, "sequence_id": 537, "annotations": []}
{"role": "student", "content": "sure", "session_id": 4385, "sequence_id": 538, "annotations": []}
{"role": "volunteer", "content": "Yeah, exactly. So, yeah, these won't work. Yeah. We need to think of something else. OK. Let, let's just think again, right?", "session_id": 4385, "sequence_id": 539, "annotations": []}
{"role": "volunteer", "content": "So", "session_id": 4385, "sequence_id": 540, "annotations": []}
{"role": "volunteer", "content": "hm", "session_id": 4385, "sequence_id": 541, "annotations": []}
{"role": "student", "content": "up until 5 the app says its right. Not for fully solving but true", "session_id": 4385, "sequence_id": 542, "annotations": []}
{"role": "volunteer", "content": "uh doctor Fully solving, but true.", "session_id": 4385, "sequence_id": 543, "annotations": []}
{"role": "student", "content": "so that's how far I got even tho some statements don't help", "session_id": 4385, "sequence_id": 544, "annotations": []}
{"role": "volunteer", "content": "up until 5. Yeah, it's, it's true. I won't say that any of these statements are false, but these won't help you to uh get to your final", "session_id": 4385, "sequence_id": 545, "annotations": []}
{"role": "volunteer", "content": "uh, congruency statement, right?", "session_id": 4385, "sequence_id": 546, "annotations": []}
{"role": "volunteer", "content": "Because just by these, how can you say that your triangles are congruent by SSS.", "session_id": 4385, "sequence_id": 547, "annotations": []}
{"role": "volunteer", "content": "How are you even applying that?", "session_id": 4385, "sequence_id": 548, "annotations": []}
{"role": "student", "content": "yes. and also I still can", "session_id": 4385, "sequence_id": 549, "annotations": []}
{"role": "volunteer", "content": "You haven't proved that above, right?", "session_id": 4385, "sequence_id": 550, "annotations": []}
{"role": "student", "content": "change 6", "session_id": 4385, "sequence_id": 551, "annotations": []}
{"role": "student", "content": "as it is default", "session_id": 4385, "sequence_id": 552, "annotations": []}
{"role": "volunteer", "content": "You can change 6, yeah. Oh", "session_id": 4385, "sequence_id": 553, "annotations": []}
{"role": "volunteer", "content": "but", "session_id": 4385, "sequence_id": 554, "annotations": []}
{"role": "student", "content": "I can also make it an angle", "session_id": 4385, "sequence_id": 555, "annotations": []}
{"role": "volunteer", "content": "maybe we, we first need to prove that angle BAD is 90 degrees.", "session_id": 4385, "sequence_id": 556, "annotations": []}
{"role": "volunteer", "content": "even though it's given that BC is perpendicular to AD. Maybe we need to prove that the BAD is 90 degree because if we see this notice over here, it says that at least one of the two angles you mentioned is not a proven right angle. It doesn't say that you're those angles are not 90 degrees, says that they aren't proven right angle, so maybe we first need to prove that those angles are 90 degree.", "session_id": 4385, "sequence_id": 557, "annotations": []}
{"role": "volunteer", "content": "What do you think", "session_id": 4385, "sequence_id": 558, "annotations": []}
{"role": "student", "content": "so perpendicular angles form right angles", "session_id": 4385, "sequence_id": 559, "annotations": []}
{"role": "volunteer", "content": "Yeah, I know that", "session_id": 4385, "sequence_id": 560, "annotations": []}
{"role": "volunteer", "content": "Uh, but we need to explain this to the", "session_id": 4385, "sequence_id": 561, "annotations": []}
{"role": "student", "content": "saying that BAD is a right angle", "session_id": 4385, "sequence_id": 562, "annotations": []}
{"role": "volunteer", "content": "a pro the the solution, right?", "session_id": 4385, "sequence_id": 563, "annotations": []}
{"role": "student", "content": "ded that", "session_id": 4385, "sequence_id": 564, "annotations": []}
{"role": "volunteer", "content": "Perpendicular lines form", "session_id": 4385, "sequence_id": 565, "annotations": []}
{"role": "volunteer", "content": "a right angles.", "session_id": 4385, "sequence_id": 566, "annotations": []}
{"role": "volunteer", "content": "Yes", "session_id": 4385, "sequence_id": 567, "annotations": []}
{"role": "volunteer", "content": "Um", "session_id": 4385, "sequence_id": 568, "annotations": []}
{"role": "volunteer", "content": "OK, then, uh, maybe try using this first add this as a statement that angle that angle be AD is 90 degrees and then add this as a statement that I will CDA is 90 degree, and then, and then add the statement.", "session_id": 4385, "sequence_id": 569, "annotations": []}
{"role": "volunteer", "content": "and then say substitution as a reasoning for this", "session_id": 4385, "sequence_id": 570, "annotations": []}
{"role": "volunteer", "content": "Maybe it will work this way.", "session_id": 4385, "sequence_id": 571, "annotations": []}
{"role": "student", "content": "I did the reasoning for both as perpendicular angles and it worked", "session_id": 4385, "sequence_id": 572, "annotations": []}
{"role": "volunteer", "content": "As perpendicular angles and it worked?", "session_id": 4385, "sequence_id": 573, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 4385, "sequence_id": 574, "annotations": []}
{"role": "volunteer", "content": "And now use uh this", "session_id": 4385, "sequence_id": 575, "annotations": []}
{"role": "volunteer", "content": "this statement, uh, with the reasoning substitution.", "session_id": 4385, "sequence_id": 576, "annotations": []}
{"role": "student", "content": "substitution still does not work", "session_id": 4385, "sequence_id": 577, "annotations": []}
{"role": "volunteer", "content": "Substitution doesn't work. Oh my God. Um.", "session_id": 4385, "sequence_id": 578, "annotations": []}
{"role": "volunteer", "content": "uh, can you share the screenshot with me?", "session_id": 4385, "sequence_id": 579, "annotations": []}
{"role": "volunteer", "content": "Do you substitution for congruency, there must be a third angle which has already been proved", "session_id": 4385, "sequence_id": 580, "annotations": []}
{"role": "volunteer", "content": "to be congruent to both BAD and ADC.", "session_id": 4385, "sequence_id": 581, "annotations": []}
{"role": "volunteer", "content": "BAD", "session_id": 4385, "sequence_id": 582, "annotations": []}
{"role": "volunteer", "content": "P A D and ADC.", "session_id": 4385, "sequence_id": 583, "annotations": []}
{"role": "volunteer", "content": "Oh", "session_id": 4385, "sequence_id": 584, "annotations": []}
{"role": "volunteer", "content": "Uh, OK, so, uh, do one thing that remove this statement and also remove this one, also remove this one", "session_id": 4385, "sequence_id": 585, "annotations": []}
{"role": "volunteer", "content": "Uh, these are not useful.", "session_id": 4385, "sequence_id": 586, "annotations": []}
{"role": "student", "content": "once it excepts it you cant remove. but even tho they don't help, it wont effect", "session_id": 4385, "sequence_id": 587, "annotations": []}
{"role": "volunteer", "content": "OK, it won't help, it won't affect. OK, OK. Then it's fine.", "session_id": 4385, "sequence_id": 588, "annotations": []}
{"role": "volunteer", "content": "Um", "session_id": 4385, "sequence_id": 589, "annotations": []}
{"role": "student", "content": "as long as the data base sees that I complely proved", "session_id": 4385, "sequence_id": 590, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 4385, "sequence_id": 591, "annotations": []}
{"role": "student", "content": "its on IXL math", "session_id": 4385, "sequence_id": 592, "annotations": [{"pii_type": "LOCATION", "surrogate": "IXL", "start": 7, "end": 10}]}
{"role": "volunteer", "content": "I got you", "session_id": 4385, "sequence_id": 593, "annotations": []}
{"role": "volunteer", "content": "Um, OK, so", "session_id": 4385, "sequence_id": 594, "annotations": []}
{"role": "volunteer", "content": "uh, are you trying to explain something to me?", "session_id": 4385, "sequence_id": 595, "annotations": []}
{"role": "student", "content": "yes I am examining it now", "session_id": 4385, "sequence_id": 596, "annotations": []}
{"role": "volunteer", "content": "You can write on the, OK, OK, you're examining. Oh, it's fine. OK.", "session_id": 4385, "sequence_id": 597, "annotations": []}
{"role": "volunteer", "content": "You can also write something on the whiteboard if you want.", "session_id": 4385, "sequence_id": 598, "annotations": []}
{"role": "volunteer", "content": "So", "session_id": 4385, "sequence_id": 599, "annotations": []}
{"role": "volunteer", "content": "OK, so", "session_id": 4385, "sequence_id": 600, "annotations": []}
{"role": "volunteer", "content": "we said that", "session_id": 4385, "sequence_id": 601, "annotations": []}
{"role": "student", "content": "well we proved angle ABD and angle DCA", "session_id": 4385, "sequence_id": 602, "annotations": []}
{"role": "volunteer", "content": "those angles, angles are 90 degrees. So,", "session_id": 4385, "sequence_id": 603, "annotations": []}
{"role": "volunteer", "content": "um", "session_id": 4385, "sequence_id": 604, "annotations": []}
{"role": "volunteer", "content": "yeah, we proved ABD and DCA are equal.", "session_id": 4385, "sequence_id": 605, "annotations": []}
{"role": "volunteer", "content": "are congruent, here, we have proved that, uh, but we are thinking about the reasoning we should give there.", "session_id": 4385, "sequence_id": 606, "annotations": []}
{"role": "volunteer", "content": "because substitution is not working there, but other reasoning can be used?", "session_id": 4385, "sequence_id": 607, "annotations": []}
{"role": "student", "content": "But we need to prove how angle A and angle D work to be proved", "session_id": 4385, "sequence_id": 608, "annotations": []}
{"role": "student", "content": "the first thing I said is already prved", "session_id": 4385, "sequence_id": 609, "annotations": []}
{"role": "volunteer", "content": "How Uncle A and Uncle D work to be proved.", "session_id": 4385, "sequence_id": 610, "annotations": []}
{"role": "student", "content": "was given", "session_id": 4385, "sequence_id": 611, "annotations": []}
{"role": "volunteer", "content": "Um", "session_id": 4385, "sequence_id": 612, "annotations": []}
{"role": "student", "content": "something with cut by transversal", "session_id": 4385, "sequence_id": 613, "annotations": []}
{"role": "volunteer", "content": "Yeah, we are doing the same sole A and angle D basically means angle BAD and angle ADC. They are one and the same thing.", "session_id": 4385, "sequence_id": 614, "annotations": []}
{"role": "volunteer", "content": "So I think you get this message when you write that angle BAD equals angle ADC and new substitution as the reason, so it says that no, it's wrong. Uh, so we are thinking about the correct reason we should give the. Uh, what are the list of reasons do we have", "session_id": 4385, "sequence_id": 615, "annotations": []}
{"role": "volunteer", "content": "over here?", "session_id": 4385, "sequence_id": 616, "annotations": []}
{"role": "volunteer", "content": "For the statement that I BAD is equal to an ADC.", "session_id": 4385, "sequence_id": 617, "annotations": []}
{"role": "student", "content": "these", "session_id": 4385, "sequence_id": 618, "annotations": []}
{"role": "volunteer", "content": "The these are the same thing. Uh, what was transitive property again. No, I'm sorry, I forgot that.", "session_id": 4385, "sequence_id": 619, "annotations": []}
{"role": "volunteer", "content": "transitive property.", "session_id": 4385, "sequence_id": 620, "annotations": []}
{"role": "student", "content": "like if a isqual", "session_id": 4385, "sequence_id": 621, "annotations": []}
{"role": "student", "content": "if a is equal to e and e is equal to d then a is equal to d", "session_id": 4385, "sequence_id": 622, "annotations": []}
{"role": "volunteer", "content": "OK, then, yeah, OK, if, yeah, transitive property is basically that", "session_id": 4385, "sequence_id": 623, "annotations": []}
{"role": "volunteer", "content": "uh A equals E and E equals d, then A equals d. This is exactly what we are trying to say. We are saying that our angle A is equals 90 degree, and then we are saying that angle D is equals is also equal to 90 degrees, and from this we are implying that angle A should be equal to our anger D So yeah, use transitive property instead, as the reason.", "session_id": 4385, "sequence_id": 624, "annotations": []}
{"role": "volunteer", "content": "Yeah, because when I was, when I was looking here for the reasonings, there was nothing like transitive property. So I was thinking what could be the possible reasoning for this.", "session_id": 4385, "sequence_id": 625, "annotations": []}
{"role": "volunteer", "content": "Now try transitive reasoning for that.", "session_id": 4385, "sequence_id": 626, "annotations": []}
{"role": "student", "content": "still no", "session_id": 4385, "sequence_id": 627, "annotations": []}
{"role": "volunteer", "content": "Still no? Oh my God.", "session_id": 4385, "sequence_id": 628, "annotations": []}
{"role": "volunteer", "content": "Um", "session_id": 4385, "sequence_id": 629, "annotations": []}
{"role": "volunteer", "content": "it should work now", "session_id": 4385, "sequence_id": 630, "annotations": []}
{"role": "student", "content": "its not working yet", "session_id": 4385, "sequence_id": 631, "annotations": []}
{"role": "volunteer", "content": "Mm.", "session_id": 4385, "sequence_id": 632, "annotations": []}
{"role": "volunteer", "content": "What notice does it show now?", "session_id": 4385, "sequence_id": 633, "annotations": []}
{"role": "student", "content": "it shows this", "session_id": 4385, "sequence_id": 634, "annotations": []}
{"role": "volunteer", "content": "No, you tru use transitive property.", "session_id": 4385, "sequence_id": 635, "annotations": []}
{"role": "volunteer", "content": "I told you that no, don't you substitution use transitive property.", "session_id": 4385, "sequence_id": 636, "annotations": []}
{"role": "student", "content": "I did", "session_id": 4385, "sequence_id": 637, "annotations": []}
{"role": "student", "content": "that's what it gives", "session_id": 4385, "sequence_id": 638, "annotations": []}
{"role": "volunteer", "content": "to use substitution for congruent, but we are not using substitution. Why does it say substitution then?", "session_id": 4385, "sequence_id": 639, "annotations": []}
{"role": "volunteer", "content": "This is strange", "session_id": 4385, "sequence_id": 640, "annotations": []}
{"role": "volunteer", "content": "Uh, now try using this all right angles are congruent.", "session_id": 4385, "sequence_id": 641, "annotations": []}
{"role": "volunteer", "content": "because now we have proved that both of those are right angles, so maybe it will accept this now.", "session_id": 4385, "sequence_id": 642, "annotations": []}
{"role": "student", "content": "yes it worked!", "session_id": 4385, "sequence_id": 643, "annotations": []}
{"role": "volunteer", "content": "OK, yeah. Good.", "session_id": 4385, "sequence_id": 644, "annotations": []}
{"role": "volunteer", "content": "So, OK, so let's think why the transitive property thing didn't work.", "session_id": 4385, "sequence_id": 645, "annotations": []}
{"role": "volunteer", "content": "So", "session_id": 4385, "sequence_id": 646, "annotations": []}
{"role": "volunteer", "content": "so it's basically A equals A E equals t, then we say that a should be equal to D We were saying that angle A equals 90 degrees. Then we said angle D is equals 90 degree. And then we were trying to imply that angle A should be equal to angle angle D", "session_id": 4385, "sequence_id": 647, "annotations": []}
{"role": "volunteer", "content": "But instead our reasoning uh should have been like 90 degree equals angle.", "session_id": 4385, "sequence_id": 648, "annotations": []}
{"role": "volunteer", "content": "So this equals this and this again equals this, then we can prove that anguanggu D uh, but, but somehow that should also have, should have worked, but it's fine if it doesn't. So, yeah, I mean, it's OK.", "session_id": 4385, "sequence_id": 649, "annotations": []}
{"role": "student", "content": "yes", "session_id": 4385, "sequence_id": 650, "annotations": []}
{"role": "volunteer", "content": "So all right angles are con. So do you understand why it was not working previously because we just assumed that they automatically knew that if it's given that both of these, uh, sides are perpendicular, then the angle should be 90 degrees. So we were wrong with that assumption. We first had to tell them that these angles will be 90 degrees because of that", "session_id": 4385, "sequence_id": 651, "annotations": []}
{"role": "volunteer", "content": "uh statement that perpendicular lines form 9 right angles, and then we had to say that all right hungles are congruented. So is the whole problem clear now?", "session_id": 4385, "sequence_id": 652, "annotations": []}
{"role": "volunteer", "content": "Like, why, why was it not working previously?", "session_id": 4385, "sequence_id": 653, "annotations": []}
{"role": "student", "content": "yes but its still not finished, like I understand so far", "session_id": 4385, "sequence_id": 654, "annotations": []}
{"role": "volunteer", "content": "Yeah, yeah, yeah", "session_id": 4385, "sequence_id": 655, "annotations": []}
{"role": "volunteer", "content": "Uh, yeah, we, it's not finished, but we have written the three statements now. We now, we just now need to write that congruent triangle statement. So just uh write this statement and for the reason, what do you think should be the reason? We have 5 congruency criteria ESA", "session_id": 4385, "sequence_id": 656, "annotations": []}
{"role": "volunteer", "content": "SSS", "session_id": 4385, "sequence_id": 657, "annotations": []}
{"role": "volunteer", "content": "S uh SAS AAS.", "session_id": 4385, "sequence_id": 658, "annotations": []}
{"role": "volunteer", "content": "A is", "session_id": 4385, "sequence_id": 659, "annotations": []}
{"role": "volunteer", "content": "So we have this angle.", "session_id": 4385, "sequence_id": 660, "annotations": []}
{"role": "volunteer", "content": "here. We have side and we have angle. So it should be AAS.", "session_id": 4385, "sequence_id": 661, "annotations": []}
{"role": "volunteer", "content": "uh try to protect this as the last statement, and I think it should work now.", "session_id": 4385, "sequence_id": 662, "annotations": []}
{"role": "student", "content": "Yes it worked!", "session_id": 4385, "sequence_id": 663, "annotations": []}
{"role": "volunteer", "content": "OK, yeah, great. Finally, finally.", "session_id": 4385, "sequence_id": 664, "annotations": []}
{"role": "volunteer", "content": "So do you want me to summarize the whole problem again? I can do that.", "session_id": 4385, "sequence_id": 665, "annotations": []}
{"role": "student", "content": "yes please! so I can take notes!", "session_id": 4385, "sequence_id": 666, "annotations": []}
{"role": "volunteer", "content": "Uh, OK. So just give me a minute.", "session_id": 4385, "sequence_id": 667, "annotations": []}
{"role": "volunteer", "content": "We knew that", "session_id": 4385, "sequence_id": 668, "annotations": []}
{"role": "volunteer", "content": "um, OK.", "session_id": 4385, "sequence_id": 669, "annotations": []}
{"role": "volunteer", "content": "So if you wanna take notes", "session_id": 4385, "sequence_id": 670, "annotations": []}
{"role": "volunteer", "content": "uh, OK, let me just clear this thing.", "session_id": 4385, "sequence_id": 671, "annotations": []}
{"role": "volunteer", "content": "Uh, these are not important.", "session_id": 4385, "sequence_id": 672, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 4385, "sequence_id": 673, "annotations": []}
{"role": "volunteer", "content": "So yeah, I'll, I'll write the whole", "session_id": 4385, "sequence_id": 674, "annotations": []}
{"role": "volunteer", "content": "whole solution for you again.", "session_id": 4385, "sequence_id": 675, "annotations": []}
{"role": "volunteer", "content": "So the first uh statement we used here was that angle BAD is equal to 90 degree.", "session_id": 4385, "sequence_id": 676, "annotations": []}
{"role": "volunteer", "content": "Then we use that angle A, D, C is equal to 90-degree.", "session_id": 4385, "sequence_id": 677, "annotations": []}
{"role": "volunteer", "content": "Uh, and the reasoning for both of these was that uh", "session_id": 4385, "sequence_id": 678, "annotations": []}
{"role": "volunteer", "content": "perpendicular lines.", "session_id": 4385, "sequence_id": 679, "annotations": []}
{"role": "volunteer", "content": "make", "session_id": 4385, "sequence_id": 680, "annotations": []}
{"role": "volunteer", "content": "right angle.", "session_id": 4385, "sequence_id": 681, "annotations": []}
{"role": "volunteer", "content": "This was our first statement", "session_id": 4385, "sequence_id": 682, "annotations": []}
{"role": "volunteer", "content": "Then our second statement was that AD is", "session_id": 4385, "sequence_id": 683, "annotations": []}
{"role": "volunteer", "content": "congruent to AD.", "session_id": 4385, "sequence_id": 684, "annotations": []}
{"role": "volunteer", "content": "because of the reflexive property.", "session_id": 4385, "sequence_id": 685, "annotations": []}
{"role": "volunteer", "content": "Then we said that", "session_id": 4385, "sequence_id": 686, "annotations": []}
{"role": "volunteer", "content": "angle A, B, D equals", "session_id": 4385, "sequence_id": 687, "annotations": []}
{"role": "volunteer", "content": "angle", "session_id": 4385, "sequence_id": 688, "annotations": []}
{"role": "volunteer", "content": "ACD.", "session_id": 4385, "sequence_id": 689, "annotations": []}
{"role": "volunteer", "content": "uh because this is given.", "session_id": 4385, "sequence_id": 690, "annotations": []}
{"role": "volunteer", "content": "And then from these two statements, we said that", "session_id": 4385, "sequence_id": 691, "annotations": []}
{"role": "volunteer", "content": "Angle BAD, AD equals angle ADC because", "session_id": 4385, "sequence_id": 692, "annotations": []}
{"role": "volunteer", "content": "all right angles are", "session_id": 4385, "sequence_id": 693, "annotations": []}
{"role": "volunteer", "content": "congruent", "session_id": 4385, "sequence_id": 694, "annotations": []}
{"role": "volunteer", "content": "Uh, just ask me if my handwriting is not very clear.", "session_id": 4385, "sequence_id": 695, "annotations": []}
{"role": "volunteer", "content": "It's, it's a bit busy, I know.", "session_id": 4385, "sequence_id": 696, "annotations": []}
{"role": "volunteer", "content": "Uh just ask me if it, if anything is not clear. And then from this we said that by", "session_id": 4385, "sequence_id": 697, "annotations": []}
{"role": "volunteer", "content": "AAS", "session_id": 4385, "sequence_id": 698, "annotations": []}
{"role": "volunteer", "content": "triangle", "session_id": 4385, "sequence_id": 699, "annotations": []}
{"role": "volunteer", "content": "B A D", "session_id": 4385, "sequence_id": 700, "annotations": []}
{"role": "volunteer", "content": "is congruent to Trale CDA.", "session_id": 4385, "sequence_id": 701, "annotations": []}
{"role": "volunteer", "content": "So yes, this was basically the whole thing and", "session_id": 4385, "sequence_id": 702, "annotations": []}
{"role": "student", "content": "thank you! I will write it down!", "session_id": 4385, "sequence_id": 703, "annotations": []}
{"role": "volunteer", "content": "and this was the angle that we used here, this angle we used this angle we use this angle, and this was the site.", "session_id": 4385, "sequence_id": 704, "annotations": []}
{"role": "volunteer", "content": "Yeah, you can write it down.", "session_id": 4385, "sequence_id": 705, "annotations": []}
{"role": "volunteer", "content": "Uh, do you have any more questions, by the way?", "session_id": 4385, "sequence_id": 706, "annotations": []}
{"role": "volunteer", "content": "I can help you", "session_id": 4385, "sequence_id": 707, "annotations": []}
{"role": "student", "content": "yes I do ! I have a few more like this one\\", "session_id": 4385, "sequence_id": 708, "annotations": []}
{"role": "volunteer", "content": "OK, OK, we can work on those together.", "session_id": 4385, "sequence_id": 709, "annotations": []}
{"role": "volunteer", "content": "Uh, by the way, uh, was the solution clear to you? I know we can be confused the whole thing a lot.", "session_id": 4385, "sequence_id": 710, "annotations": []}
{"role": "volunteer", "content": "uh, but is this clear at the end?", "session_id": 4385, "sequence_id": 711, "annotations": []}
{"role": "student", "content": "yes!", "session_id": 4385, "sequence_id": 712, "annotations": []}
{"role": "volunteer", "content": "OK, perfect.", "session_id": 4385, "sequence_id": 713, "annotations": []}
{"role": "volunteer", "content": "Uh, just write this down and then you are done, just let me know and then they'll move on to the next question.", "session_id": 4385, "sequence_id": 714, "annotations": []}
{"role": "student", "content": "okay Im ready!", "session_id": 4385, "sequence_id": 715, "annotations": []}
{"role": "volunteer", "content": "Hi, OK", "session_id": 4385, "sequence_id": 716, "annotations": []}
{"role": "volunteer", "content": "Uh, just, uh, share the next question, we can work on it together.", "session_id": 4385, "sequence_id": 717, "annotations": []}
{"role": "volunteer", "content": "I'm sorry", "session_id": 4385, "sequence_id": 718, "annotations": []}
{"role": "volunteer", "content": "Oh, OK", "session_id": 4385, "sequence_id": 719, "annotations": []}
{"role": "volunteer", "content": "So AD is", "session_id": 4385, "sequence_id": 720, "annotations": []}
{"role": "volunteer", "content": "congruent to AB, OK. And AB is", "session_id": 4385, "sequence_id": 721, "annotations": []}
{"role": "volunteer", "content": "perpendicular to BC. So basically, we know that this angle is 90 degrees.", "session_id": 4385, "sequence_id": 722, "annotations": []}
{"role": "volunteer", "content": "and AD is perpendicular to CD. So this angle is also 90 degrees.", "session_id": 4385, "sequence_id": 723, "annotations": []}
{"role": "volunteer", "content": "Prove that triangle A, B, C is congruent to ADC.", "session_id": 4385, "sequence_id": 724, "annotations": []}
{"role": "volunteer", "content": "OK, so that's again think of the five criterias of congruency that we have. SSS SAS", "session_id": 4385, "sequence_id": 725, "annotations": []}
{"role": "volunteer", "content": "A A S", "session_id": 4385, "sequence_id": 726, "annotations": []}
{"role": "volunteer", "content": "A S A", "session_id": 4385, "sequence_id": 727, "annotations": []}
{"role": "volunteer", "content": "and RHS", "session_id": 4385, "sequence_id": 728, "annotations": []}
{"role": "volunteer", "content": "So, uh, what do you think? Can we use SSS? We don't have 3 sides.", "session_id": 4385, "sequence_id": 729, "annotations": []}
{"role": "volunteer", "content": "uh, which are equal. So let's first write down what do we know? We know that AB is equal to Ad because this is given, right?", "session_id": 4385, "sequence_id": 730, "annotations": []}
{"role": "volunteer", "content": "And we also know that we first, we first write that anger A, B, C is equal to 90 degree directly write that angle ABC is equal to angle ADC as we did in the last question because that whole concept would be wrong, right? So we'll first write this and the reasoning for this will be that uh perpendicular lines,", "session_id": 4385, "sequence_id": 731, "annotations": []}
{"role": "volunteer", "content": "make", "session_id": 4385, "sequence_id": 732, "annotations": []}
{"role": "volunteer", "content": "right angles", "session_id": 4385, "sequence_id": 733, "annotations": []}
{"role": "volunteer", "content": "And similarly, we'll say that angle ADC is also 90 degree.", "session_id": 4385, "sequence_id": 734, "annotations": []}
{"role": "volunteer", "content": "and from this, then we will say that angle A, B, C equals angle A.", "session_id": 4385, "sequence_id": 735, "annotations": []}
{"role": "volunteer", "content": "ADC", "session_id": 4385, "sequence_id": 736, "annotations": []}
{"role": "volunteer", "content": "because right angles are congruent.", "session_id": 4385, "sequence_id": 737, "annotations": []}
{"role": "volunteer", "content": "I'm sorry", "session_id": 4385, "sequence_id": 738, "annotations": []}
{"role": "volunteer", "content": "OK, so, uh", "session_id": 4385, "sequence_id": 739, "annotations": []}
{"role": "volunteer", "content": "now let's think of the next steps. So we know that one angle is equal at this", "session_id": 4385, "sequence_id": 740, "annotations": []}
{"role": "volunteer", "content": "here we have our angle", "session_id": 4385, "sequence_id": 741, "annotations": []}
{"role": "volunteer", "content": "This is our side. This is another side. We also know that this site is common in both so by reflexive property, we can say that", "session_id": 4385, "sequence_id": 742, "annotations": []}
{"role": "volunteer", "content": "AC is congruent to", "session_id": 4385, "sequence_id": 743, "annotations": []}
{"role": "volunteer", "content": "AC", "session_id": 4385, "sequence_id": 744, "annotations": []}
{"role": "volunteer", "content": "by reflexive property.", "session_id": 4385, "sequence_id": 745, "annotations": []}
{"role": "volunteer", "content": "So we have our, another side here.", "session_id": 4385, "sequence_id": 746, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 4385, "sequence_id": 747, "annotations": []}
{"role": "volunteer", "content": "Um", "session_id": 4385, "sequence_id": 748, "annotations": []}
{"role": "volunteer", "content": "so we can't use SSS here because we don't have 3 sites. We also can't use essays. We we might think that we can use SAS because we have two sides and we have one angle.", "session_id": 4385, "sequence_id": 749, "annotations": []}
{"role": "volunteer", "content": "Uh, but this angle should be included angle, which means they should be between both of these sides. So if I'm taking these two sides, then this should have been our angle, but our angle is this, so we also can't use this one. If you use AAS", "session_id": 4385, "sequence_id": 750, "annotations": []}
{"role": "volunteer", "content": "we can use AAS because we don't have two uncles, so this is also wrong", "session_id": 4385, "sequence_id": 751, "annotations": []}
{"role": "volunteer", "content": "Again, we don't have two angles, so we can't use this. If you think about RHS.", "session_id": 4385, "sequence_id": 752, "annotations": []}
{"role": "volunteer", "content": "or, or do you also call that HL?", "session_id": 4385, "sequence_id": 753, "annotations": []}
{"role": "volunteer", "content": "Uh", "session_id": 4385, "sequence_id": 754, "annotations": []}
{"role": "student", "content": "I call it HL", "session_id": 4385, "sequence_id": 755, "annotations": []}
{"role": "student", "content": "hypotenuse leg", "session_id": 4385, "sequence_id": 756, "annotations": []}
{"role": "volunteer", "content": "OK, OK. You call it HL then I'll, I'll also call it the same. I'm sorry.", "session_id": 4385, "sequence_id": 757, "annotations": []}
{"role": "volunteer", "content": "A hypoten leg. OK.", "session_id": 4385, "sequence_id": 758, "annotations": []}
{"role": "volunteer", "content": "Uh, so basically, I'm from another country, so I kind of don't know the term terminologies that you use in the UK, so I'm sorry for that. I'm sorry for the inconvenience, uh, yeah.", "session_id": 4385, "sequence_id": 759, "annotations": [{"pii_type": "LOCATION", "surrogate": "UK", "start": 111, "end": 113}]}
{"role": "student", "content": "its okay!", "session_id": 4385, "sequence_id": 760, "annotations": []}
{"role": "volunteer", "content": "By HL", "session_id": 4385, "sequence_id": 761, "annotations": []}
{"role": "volunteer", "content": "So how, how are we using HL here HL is basically hypertonous and leg. So we have, so, uh, what does hypoten use? It's basically the site opposite to the right angle in a triangle. So if", "session_id": 4385, "sequence_id": 762, "annotations": []}
{"role": "volunteer", "content": "if this is our chronicle", "session_id": 4385, "sequence_id": 763, "annotations": []}
{"role": "volunteer", "content": "right", "session_id": 4385, "sequence_id": 764, "annotations": []}
{"role": "volunteer", "content": "And this is a right angle to the side opposite to this is this side, right? And we know that this side is equal in both. We prove that by reflexive property. So we have the hyperterus equal about the neck", "session_id": 4385, "sequence_id": 765, "annotations": []}
{"role": "volunteer", "content": "This is our leg, right? We have this equal in both the trigals, and we also have, uh, this, so by HL we can say that our triangle.", "session_id": 4385, "sequence_id": 766, "annotations": []}
{"role": "volunteer", "content": "ABC", "session_id": 4385, "sequence_id": 767, "annotations": []}
{"role": "volunteer", "content": "is congruent to triangle", "session_id": 4385, "sequence_id": 768, "annotations": []}
{"role": "volunteer", "content": "ADC", "session_id": 4385, "sequence_id": 769, "annotations": []}
{"role": "volunteer", "content": "Um, is this clear? Just, just try this and tell me if it's working or not.", "session_id": 4385, "sequence_id": 770, "annotations": []}
{"role": "volunteer", "content": "I think it should work now.", "session_id": 4385, "sequence_id": 771, "annotations": []}
{"role": "student", "content": "everything works up until we got to HL", "session_id": 4385, "sequence_id": 772, "annotations": []}
{"role": "volunteer", "content": "So HL is not working.", "session_id": 4385, "sequence_id": 773, "annotations": []}
{"role": "volunteer", "content": "Um", "session_id": 4385, "sequence_id": 774, "annotations": []}
{"role": "volunteer", "content": "why is that you not working?", "session_id": 4385, "sequence_id": 775, "annotations": []}
{"role": "volunteer", "content": "I think it should work because we have already proved that", "session_id": 4385, "sequence_id": 776, "annotations": []}
{"role": "volunteer", "content": "AB is equal to AD, AD is equal to AD because this is given in our question.", "session_id": 4385, "sequence_id": 777, "annotations": []}
{"role": "volunteer", "content": "and C is equal to AC because it's reflexive and this is the hypertenus.", "session_id": 4385, "sequence_id": 778, "annotations": []}
{"role": "volunteer", "content": "This is the leg, so I think it should work.", "session_id": 4385, "sequence_id": 779, "annotations": []}
{"role": "volunteer", "content": "Uh, can you show me the error message that you're getting.", "session_id": 4385, "sequence_id": 780, "annotations": []}
{"role": "volunteer", "content": "You cannot use HL theorem yet, because you have not proved that each of these triangles is a right triangle.", "session_id": 4385, "sequence_id": 781, "annotations": []}
{"role": "volunteer", "content": "So you also need to prove that these triangles are right triangle.", "session_id": 4385, "sequence_id": 782, "annotations": []}
{"role": "volunteer", "content": "Oh", "session_id": 4385, "sequence_id": 783, "annotations": []}
{"role": "volunteer", "content": "uh, how can you do that?", "session_id": 4385, "sequence_id": 784, "annotations": []}
{"role": "volunteer", "content": "Basically, uh, if you have one right angle in your triangle. So it is a, it is a right triangle, right?", "session_id": 4385, "sequence_id": 785, "annotations": []}
{"role": "volunteer", "content": "So", "session_id": 4385, "sequence_id": 786, "annotations": []}
{"role": "volunteer", "content": "uh, can you think of another statement which you can use, maybe something like", "session_id": 4385, "sequence_id": 787, "annotations": []}
{"role": "volunteer", "content": "um triangle A, B, C", "session_id": 4385, "sequence_id": 788, "annotations": []}
{"role": "volunteer", "content": "is a right triangle, a statement like that", "session_id": 4385, "sequence_id": 789, "annotations": []}
{"role": "volunteer", "content": "and then the reason will be because because angle ABC is 90 degree.", "session_id": 4385, "sequence_id": 790, "annotations": []}
{"role": "volunteer", "content": "Uh, just try something like that if it's possible.", "session_id": 4385, "sequence_id": 791, "annotations": []}
{"role": "volunteer", "content": "Uh, just let me know if you are able to try or not, and then we can think of something else.", "session_id": 4385, "sequence_id": 792, "annotations": []}
{"role": "student", "content": "it says it has already been proved", "session_id": 4385, "sequence_id": 793, "annotations": []}
{"role": "volunteer", "content": "It, it has already been proved.", "session_id": 4385, "sequence_id": 794, "annotations": []}
{"role": "volunteer", "content": "Uh, but in the notice we get that these triangle are because we haven't proved yet that that each of these tiles is a right triangle.", "session_id": 4385, "sequence_id": 795, "annotations": []}
{"role": "volunteer", "content": "Uh, what is the problem?", "session_id": 4385, "sequence_id": 796, "annotations": []}
{"role": "volunteer", "content": "So for the thing that you are saying that it has already been proved, uh, can you share a screenshot of that.", "session_id": 4385, "sequence_id": 797, "annotations": []}
{"role": "volunteer", "content": "of like what you entered and what was the notice that you got.", "session_id": 4385, "sequence_id": 798, "annotations": []}
{"role": "volunteer", "content": "OK, so, no, don't use this as your reason.", "session_id": 4385, "sequence_id": 799, "annotations": []}
{"role": "volunteer", "content": "No, don't use this. So what you are using, the reason you're using is that an angle congruent to a right angle is a right angle.", "session_id": 4385, "sequence_id": 800, "annotations": []}
{"role": "volunteer", "content": "So you are basically saying that if we know that angle is 90 degrees, OK?", "session_id": 4385, "sequence_id": 801, "annotations": []}
{"role": "volunteer", "content": "Uh", "session_id": 4385, "sequence_id": 802, "annotations": []}
{"role": "volunteer", "content": "basically", "session_id": 4385, "sequence_id": 803, "annotations": []}
{"role": "volunteer", "content": "basically at, at the", "session_id": 4385, "sequence_id": 804, "annotations": []}
{"role": "volunteer", "content": "it's like if you're saying that angle A is congruent to angle B, and this angle B is 90 degrees. Then your angle A should also be rating you. This is what you are trying to uh save from this reason, but if you're uh if you're telling the reason for this statement that", "session_id": 4385, "sequence_id": 805, "annotations": []}
{"role": "volunteer", "content": "no, you have to", "session_id": 4385, "sequence_id": 806, "annotations": []}
{"role": "volunteer", "content": "your statement should be that", "session_id": 4385, "sequence_id": 807, "annotations": []}
{"role": "volunteer", "content": "it should be triangle ABC.", "session_id": 4385, "sequence_id": 808, "annotations": []}
{"role": "volunteer", "content": "is a right triangle.", "session_id": 4385, "sequence_id": 809, "annotations": []}
{"role": "volunteer", "content": "This should be your statement and your reasoning should be that angle A.", "session_id": 4385, "sequence_id": 810, "annotations": []}
{"role": "volunteer", "content": "angle ABC is a right angle, something like this.", "session_id": 4385, "sequence_id": 811, "annotations": []}
{"role": "volunteer", "content": "Uh, this is something I want you to do.", "session_id": 4385, "sequence_id": 812, "annotations": []}
{"role": "volunteer", "content": "Yeah, because we have already proved that angle ABC is a right angle by saying that then two perpendicular lines meet they form 90 degrees. So, yeah, you don't have to prove this thing again. Why are we doing this? Because when we uh tried using HL on those two triangles, the error message appeared that you haven't proved that you're two triangles are right triangles. So first we are trying to prove that our two triangles are right triangles", "session_id": 4385, "sequence_id": 813, "annotations": []}
{"role": "volunteer", "content": "and for that we are going to use this uh statement and reasoning. I try this if it's possible.", "session_id": 4385, "sequence_id": 814, "annotations": []}
{"role": "student", "content": "nothing yet still same notice", "session_id": 4385, "sequence_id": 815, "annotations": []}
{"role": "volunteer", "content": "Hi, I'm sorry. Uh", "session_id": 4385, "sequence_id": 816, "annotations": []}
{"role": "volunteer", "content": "uh, still the same notice?", "session_id": 4385, "sequence_id": 817, "annotations": []}
{"role": "volunteer", "content": "Uh, I'm sorry, but can you share the screenshot.", "session_id": 4385, "sequence_id": 818, "annotations": []}
{"role": "student", "content": "I tried all types", "session_id": 4385, "sequence_id": 819, "annotations": []}
{"role": "volunteer", "content": "Uh, so you don't have to prove that anger to be a right angle, you who have to prove the triangle to be a right triangle.", "session_id": 4385, "sequence_id": 820, "annotations": []}
{"role": "volunteer", "content": "Does this make sense", "session_id": 4385, "sequence_id": 821, "annotations": []}
{"role": "student", "content": "yes", "session_id": 4385, "sequence_id": 822, "annotations": []}
{"role": "volunteer", "content": "Uh, now try this", "session_id": 4385, "sequence_id": 823, "annotations": []}
{"role": "volunteer", "content": "Try", "session_id": 4385, "sequence_id": 824, "annotations": []}
{"role": "volunteer", "content": "adding this as a statement that triangle ABC is a right triangle. You don't have to prove that it's a right angle. You have already proved that angalabi is a right angle by saying that when two perpendicular lines meet, they form a right angle. You now have to prove that your triangle ABC is a right triangle.", "session_id": 4385, "sequence_id": 825, "annotations": []}
{"role": "volunteer", "content": "Is this clear", "session_id": 4385, "sequence_id": 826, "annotations": []}
{"role": "student", "content": "Oh okay!", "session_id": 4385, "sequence_id": 827, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 4385, "sequence_id": 828, "annotations": []}
{"role": "student", "content": "yes I see it!", "session_id": 4385, "sequence_id": 829, "annotations": []}
{"role": "volunteer", "content": "Is it working now? Uh, what will you use for the reason? You should use that. OK, so how can you prove that a triangle is right triangle.", "session_id": 4385, "sequence_id": 830, "annotations": []}
{"role": "volunteer", "content": "Just tell me", "session_id": 4385, "sequence_id": 831, "annotations": []}
{"role": "student", "content": "the trianglecontains a right angle", "session_id": 4385, "sequence_id": 832, "annotations": []}
{"role": "volunteer", "content": "Yeah, exactly. The triangle contains the right angle, so, uh, use that as a reason for your statement.", "session_id": 4385, "sequence_id": 833, "annotations": []}
{"role": "volunteer", "content": "Now, see if it works", "session_id": 4385, "sequence_id": 834, "annotations": []}
{"role": "student", "content": "yes it does!", "session_id": 4385, "sequence_id": 835, "annotations": []}
{"role": "volunteer", "content": "Oh, great. OK", "session_id": 4385, "sequence_id": 836, "annotations": []}
{"role": "volunteer", "content": "Uh, we can move on the next steps now. So, basically, now you have proof that an triangle ABC is a right triangle. Similarly, you need to prove that a triangle ADC is a right triangle. Uh, just quickly do that and", "session_id": 4385, "sequence_id": 837, "annotations": []}
{"role": "volunteer", "content": "uh let me know when you, when you, when you are done.", "session_id": 4385, "sequence_id": 838, "annotations": []}
{"role": "student", "content": "I did it!", "session_id": 4385, "sequence_id": 839, "annotations": []}
{"role": "volunteer", "content": "OK, great. So, basically, now you have", "session_id": 4385, "sequence_id": 840, "annotations": []}
{"role": "volunteer", "content": "I guess the statements that you have right now are that AB is congruent to Ad, that is given, and then you have that AC is congruent to AC because of reflexive property, then you should have that angle ABC is 90 degree, then you should have angle ADC is 90 degree, then you should have", "session_id": 4385, "sequence_id": 841, "annotations": []}
{"role": "volunteer", "content": "triangle ABC. Is a right triangle then.", "session_id": 4385, "sequence_id": 842, "annotations": []}
{"role": "volunteer", "content": "triangle ADC is a right triangle. Am I right?", "session_id": 4385, "sequence_id": 843, "annotations": []}
{"role": "student", "content": "Yes!", "session_id": 4385, "sequence_id": 844, "annotations": []}
{"role": "volunteer", "content": "OK, so we have all the material now to apply HL.", "session_id": 4385, "sequence_id": 845, "annotations": []}
{"role": "volunteer", "content": "and say that triangle ABC is congruent to triangle ADC.", "session_id": 4385, "sequence_id": 846, "annotations": []}
{"role": "volunteer", "content": "Now just try that and uh let me know.", "session_id": 4385, "sequence_id": 847, "annotations": []}
{"role": "student", "content": "Yes! I completed it! it worked, thanks!", "session_id": 4385, "sequence_id": 848, "annotations": []}
{"role": "volunteer", "content": "OK, perfect. So, uh, I can summarize the whole thing for you again if you want.", "session_id": 4385, "sequence_id": 849, "annotations": []}
{"role": "student", "content": "No I think I understand this one better, tthanks!", "session_id": 4385, "sequence_id": 850, "annotations": []}
{"role": "volunteer", "content": "OK. OK, perfect. So, well, OK, we can move on to the next question if you want. Or do you wanna note down, note down this uh solution.", "session_id": 4385, "sequence_id": 851, "annotations": []}
{"role": "student", "content": "I did as we were doing it!", "session_id": 4385, "sequence_id": 852, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 4385, "sequence_id": 853, "annotations": []}
{"role": "volunteer", "content": "So, uh, the issues which we faced here in this question were uh", "session_id": 4385, "sequence_id": 854, "annotations": []}
{"role": "volunteer", "content": "for applying HLU first need to prove that your triangle is a right triangle, and we assume that, uh, this assignment already understood that if we are saying that the anger is 90 degrees, and the triangle should be a right triangle. Uh, so we were wrong with that assumption. Uh, then, then we just wrote that another statement proving that a triangle is a right triangle if the angle is", "session_id": 4385, "sequence_id": 855, "annotations": []}
{"role": "volunteer", "content": "90 degrees", "session_id": 4385, "sequence_id": 856, "annotations": []}
{"role": "volunteer", "content": "So I think this was the, uh, this was the learning that we gained from this question. So, yeah, we can keep this in mind. Uh, let's move on to the next question. You can share that next question with me.", "session_id": 4385, "sequence_id": 857, "annotations": []}
{"role": "student", "content": "okay! So this one is a little quicker i belive", "session_id": 4385, "sequence_id": 858, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 4385, "sequence_id": 859, "annotations": []}
{"role": "volunteer", "content": "Uh, uh, can you move, uh, both of these images to the top of the page.", "session_id": 4385, "sequence_id": 860, "annotations": []}
{"role": "volunteer", "content": "because I can't do that", "session_id": 4385, "sequence_id": 861, "annotations": []}
{"role": "volunteer", "content": "OK, OK, this is fine. Thank you.", "session_id": 4385, "sequence_id": 862, "annotations": []}
{"role": "volunteer", "content": "Thank you", "session_id": 4385, "sequence_id": 863, "annotations": []}
{"role": "volunteer", "content": "Oh, OK.", "session_id": 4385, "sequence_id": 864, "annotations": []}
{"role": "student", "content": "your welcome!", "session_id": 4385, "sequence_id": 865, "annotations": []}
{"role": "volunteer", "content": "So it's given that", "session_id": 4385, "sequence_id": 866, "annotations": []}
{"role": "volunteer", "content": "FT is congruent to FD.", "session_id": 4385, "sequence_id": 867, "annotations": []}
{"role": "volunteer", "content": "FD, uh, I think I should mark this", "session_id": 4385, "sequence_id": 868, "annotations": []}
{"role": "volunteer", "content": "uh", "session_id": 4385, "sequence_id": 869, "annotations": []}
{"role": "volunteer", "content": "FD", "session_id": 4385, "sequence_id": 870, "annotations": []}
{"role": "volunteer", "content": "is congruent to FD.", "session_id": 4385, "sequence_id": 871, "annotations": []}
{"role": "volunteer", "content": "and angle FDE FTE.", "session_id": 4385, "sequence_id": 872, "annotations": []}
{"role": "volunteer", "content": "The angle is equal to other FCE this sent", "session_id": 4385, "sequence_id": 873, "annotations": []}
{"role": "volunteer", "content": "and we need to prove that.", "session_id": 4385, "sequence_id": 874, "annotations": []}
{"role": "volunteer", "content": "Unle DAB D sorry, triangle DAB. No angle ADAB, I'm sorry.", "session_id": 4385, "sequence_id": 875, "annotations": []}
{"role": "volunteer", "content": "And DAV", "session_id": 4385, "sequence_id": 876, "annotations": []}
{"role": "volunteer", "content": "should be equal to CBA.", "session_id": 4385, "sequence_id": 877, "annotations": []}
{"role": "volunteer", "content": "Hm, OK", "session_id": 4385, "sequence_id": 878, "annotations": []}
{"role": "volunteer", "content": "Uh, it's", "session_id": 4385, "sequence_id": 879, "annotations": []}
{"role": "volunteer", "content": "it's given that", "session_id": 4385, "sequence_id": 880, "annotations": []}
{"role": "volunteer", "content": "T is congruent to FD and angle FDE is converted under the FCE we need to enter the 2nd statement for the 3rd statement we have triangle ACF.", "session_id": 4385, "sequence_id": 881, "annotations": []}
{"role": "volunteer", "content": "ACF.", "session_id": 4385, "sequence_id": 882, "annotations": []}
{"role": "volunteer", "content": "I'll just part the struggle.", "session_id": 4385, "sequence_id": 883, "annotations": []}
{"role": "volunteer", "content": "struggle ACF.", "session_id": 4385, "sequence_id": 884, "annotations": []}
{"role": "volunteer", "content": "is", "session_id": 4385, "sequence_id": 885, "annotations": []}
{"role": "volunteer", "content": "Conran Triangle BDF.", "session_id": 4385, "sequence_id": 886, "annotations": []}
{"role": "volunteer", "content": "um BDF is this one.", "session_id": 4385, "sequence_id": 887, "annotations": []}
{"role": "volunteer", "content": "So we need to prove these two triangles to be congruent and then we have something else. OK.", "session_id": 4385, "sequence_id": 888, "annotations": []}
{"role": "volunteer", "content": "So our main motto here is to fill the 2nd statement", "session_id": 4385, "sequence_id": 889, "annotations": []}
{"role": "volunteer", "content": "so that we can prove that these two triangles are congruent by ASA. This is our main motor over here.", "session_id": 4385, "sequence_id": 890, "annotations": []}
{"role": "volunteer", "content": "uh, for ASA, we need one angle, one side, and one angle.", "session_id": 4385, "sequence_id": 891, "annotations": []}
{"role": "volunteer", "content": "Uh, if we look at these two triangles, we know that FD side", "session_id": 4385, "sequence_id": 892, "annotations": []}
{"role": "volunteer", "content": "is", "session_id": 4385, "sequence_id": 893, "annotations": []}
{"role": "student", "content": "we are missing an angle for ASA", "session_id": 4385, "sequence_id": 894, "annotations": []}
{"role": "volunteer", "content": "congruent to FD side, because this is given", "session_id": 4385, "sequence_id": 895, "annotations": []}
{"role": "volunteer", "content": "Yeah, exactly, you are correct. We have the site and for the angle", "session_id": 4385, "sequence_id": 896, "annotations": []}
{"role": "volunteer", "content": "put the angle also we have that angle FCA.", "session_id": 4385, "sequence_id": 897, "annotations": []}
{"role": "volunteer", "content": "FC", "session_id": 4385, "sequence_id": 898, "annotations": []}
{"role": "volunteer", "content": "A is", "session_id": 4385, "sequence_id": 899, "annotations": []}
{"role": "volunteer", "content": "congruent to triangle, uh, I'm sorry, angle.", "session_id": 4385, "sequence_id": 900, "annotations": []}
{"role": "volunteer", "content": "uh, this angle which is FDB angle FDB because this is also given.", "session_id": 4385, "sequence_id": 901, "annotations": []}
{"role": "volunteer", "content": "So we have another angle", "session_id": 4385, "sequence_id": 902, "annotations": []}
{"role": "volunteer", "content": "Uh, now we need to have this 3rd angle and we can very easily know which angle it should be because", "session_id": 4385, "sequence_id": 903, "annotations": []}
{"role": "volunteer", "content": "uh, the side is included. The side is between both of these angles. So, uh, if we see this", "session_id": 4385, "sequence_id": 904, "annotations": []}
{"role": "volunteer", "content": "so we do, this one is the", "session_id": 4385, "sequence_id": 905, "annotations": []}
{"role": "volunteer", "content": "side and", "session_id": 4385, "sequence_id": 906, "annotations": []}
{"role": "volunteer", "content": "this is the angle, so another angle should be?", "session_id": 4385, "sequence_id": 907, "annotations": []}
{"role": "volunteer", "content": "uh, tell me, should it be this or this?", "session_id": 4385, "sequence_id": 908, "annotations": []}
{"role": "volunteer", "content": "This is one and this is 2.", "session_id": 4385, "sequence_id": 909, "annotations": []}
{"role": "volunteer", "content": "What do you think", "session_id": 4385, "sequence_id": 910, "annotations": []}
{"role": "volunteer", "content": "The side should be included between these two angles. It should be between the two angles. So should the angle be 1 or 2?", "session_id": 4385, "sequence_id": 911, "annotations": []}
{"role": "volunteer", "content": "2", "session_id": 4385, "sequence_id": 912, "annotations": []}
{"role": "volunteer", "content": "know how to", "session_id": 4385, "sequence_id": 913, "annotations": []}
{"role": "volunteer", "content": "how 2?", "session_id": 4385, "sequence_id": 914, "annotations": []}
{"role": "student", "content": "no", "session_id": 4385, "sequence_id": 915, "annotations": []}
{"role": "volunteer", "content": "No", "session_id": 4385, "sequence_id": 916, "annotations": []}
{"role": "volunteer", "content": "?", "session_id": 4385, "sequence_id": 917, "annotations": []}
{"role": "student", "content": "it would be wrong because of side angle side", "session_id": 4385, "sequence_id": 918, "annotations": []}
{"role": "volunteer", "content": "I think you're confused", "session_id": 4385, "sequence_id": 919, "annotations": []}
{"role": "volunteer", "content": "Yeah, exactly. It would be wrong because of side.", "session_id": 4385, "sequence_id": 920, "annotations": []}
{"role": "volunteer", "content": "No, we", "session_id": 4385, "sequence_id": 921, "annotations": []}
{"role": "student", "content": "and so it is on because angle side angle", "session_id": 4385, "sequence_id": 922, "annotations": []}
{"role": "volunteer", "content": "uh, we are not using side angle side. We are using angle, side angle.", "session_id": 4385, "sequence_id": 923, "annotations": []}
{"role": "volunteer", "content": "Uh, so it is on because", "session_id": 4385, "sequence_id": 924, "annotations": []}
{"role": "volunteer", "content": "uh, it is one, yeah, it's one. I think you mean lung.", "session_id": 4385, "sequence_id": 925, "annotations": []}
{"role": "volunteer", "content": "So yeah, it should be one, right? because uh the site should be between these struggle. If I take this angle, the site is not between these two angles, but if I take this angle, then the side is between these two angles.", "session_id": 4385, "sequence_id": 926, "annotations": []}
{"role": "volunteer", "content": "Uh, so,", "session_id": 4385, "sequence_id": 927, "annotations": []}
{"role": "volunteer", "content": "in this triangle, basically the green triangle that you see.", "session_id": 4385, "sequence_id": 928, "annotations": []}
{"role": "volunteer", "content": "uh angle one is this. What do you think in the blue blue triangle should angle 1B. Should it be the same one, it's basically common in both the triangles, right?", "session_id": 4385, "sequence_id": 929, "annotations": []}
{"role": "volunteer", "content": "Does this make sense", "session_id": 4385, "sequence_id": 930, "annotations": []}
{"role": "student", "content": "yes!", "session_id": 4385, "sequence_id": 931, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 4385, "sequence_id": 932, "annotations": []}
{"role": "volunteer", "content": "So", "session_id": 4385, "sequence_id": 933, "annotations": []}
{"role": "volunteer", "content": "we just need to name this angle in two different ways, basically, to say that uh it's equal.", "session_id": 4385, "sequence_id": 934, "annotations": []}
{"role": "volunteer", "content": "Uh, I'll just", "session_id": 4385, "sequence_id": 935, "annotations": []}
{"role": "volunteer", "content": "uh erase some stuff from here.", "session_id": 4385, "sequence_id": 936, "annotations": []}
{"role": "volunteer", "content": "So yes", "session_id": 4385, "sequence_id": 937, "annotations": []}
{"role": "volunteer", "content": "uh, in one way I can write this angle is angle CFA.", "session_id": 4385, "sequence_id": 938, "annotations": []}
{"role": "volunteer", "content": "is equal to a DFB.", "session_id": 4385, "sequence_id": 939, "annotations": []}
{"role": "volunteer", "content": "Does this make sense", "session_id": 4385, "sequence_id": 940, "annotations": []}
{"role": "student", "content": "yes I understand the statement", "session_id": 4385, "sequence_id": 941, "annotations": []}
{"role": "volunteer", "content": "What is, I will see if you understood it. And we'll see if a CFA is this angle. The angle DFB DFB again is the same and so we are saying that this angle is equal to this angle, so", "session_id": 4385, "sequence_id": 942, "annotations": []}
{"role": "volunteer", "content": "basically, we are using the reflexive property.", "session_id": 4385, "sequence_id": 943, "annotations": []}
{"role": "volunteer", "content": "Uh, don't you think this should be our statement over here.", "session_id": 4385, "sequence_id": 944, "annotations": []}
{"role": "student", "content": "this cant be reflexive since it would have to be the exact same letters", "session_id": 4385, "sequence_id": 945, "annotations": []}
{"role": "volunteer", "content": "OK, so it needs the same letters.", "session_id": 4385, "sequence_id": 946, "annotations": []}
{"role": "volunteer", "content": "So instead of using the full CFA name, you can simply write on the left, equals angle left.", "session_id": 4385, "sequence_id": 947, "annotations": []}
{"role": "volunteer", "content": "Try this. We can also use this, right?", "session_id": 4385, "sequence_id": 948, "annotations": []}
{"role": "student", "content": "yes! I will try", "session_id": 4385, "sequence_id": 949, "annotations": []}
{"role": "volunteer", "content": "Yeah.", "session_id": 4385, "sequence_id": 950, "annotations": []}
{"role": "volunteer", "content": "So here are the main challenges like uh what will the, the system considered correct because we know the concept and everything, uh, but it's more like what will the", "session_id": 4385, "sequence_id": 951, "annotations": []}
{"role": "volunteer", "content": "that algorithm consider connect", "session_id": 4385, "sequence_id": 952, "annotations": []}
{"role": "student", "content": "yes! it workd", "session_id": 4385, "sequence_id": 953, "annotations": []}
{"role": "student", "content": "thanks!", "session_id": 4385, "sequence_id": 954, "annotations": []}
{"role": "volunteer", "content": "OK, perfect. Uh, do you have any doubt on this problem?", "session_id": 4385, "sequence_id": 955, "annotations": []}
{"role": "student", "content": "no I understand it", "session_id": 4385, "sequence_id": 956, "annotations": []}
{"role": "volunteer", "content": "OK. Um, any other questions?", "session_id": 4385, "sequence_id": 957, "annotations": []}
{"role": "student", "content": "that all for now! Thanks!", "session_id": 4385, "sequence_id": 958, "annotations": []}
{"role": "volunteer", "content": "OK, thank you. Uh, in fact, I also learned so many things today, um, the terminologies and stuff, and it was, it was nice teaching you. Thank you.", "session_id": 4385, "sequence_id": 959, "annotations": []}
{"role": "volunteer", "content": "Have a good night", "session_id": 4385, "sequence_id": 960, "annotations": []}
{"role": "student", "content": "Thank you so much! Have a good night! bye!", "session_id": 4385, "sequence_id": 961, "annotations": []}
{"role": "student", "content": "Hi", "session_id": 7645, "sequence_id": 0, "annotations": []}
{"role": "volunteer", "content": "hi", "session_id": 7645, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "how can i help you?", "session_id": 7645, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "So I'm doing angular & linear speed problems in pre calc and I don't get them. I have word problems and I can paste one here", "session_id": 7645, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "sure", "session_id": 7645, "sequence_id": 4, "annotations": []}
{"role": "volunteer", "content": "which one?", "session_id": 7645, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "We can start with the first one. Can you also show me how to draw the diagram circle?", "session_id": 7645, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "sure", "session_id": 7645, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "you have to draw a diagram?", "session_id": 7645, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "My teacher doesn't require it but it helps me visualize.", "session_id": 7645, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "oh", "session_id": 7645, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "okay do you know the formula for Distance along the surface between two latitudes", "session_id": 7645, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "s = theta * radius", "session_id": 7645, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "yup", "session_id": 7645, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "so the first one is Sarah", "session_id": 7645, "sequence_id": 14, "annotations": [{"pii_type": "PERSON", "surrogate": "Sarah", "start": 20, "end": 25}]}
{"role": "volunteer", "content": "equator", "session_id": 7645, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "but you have to convert the theta from degree to radians", "session_id": 7645, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "so 19.43 * 180/pi?", "session_id": 7645, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "pi/180", "session_id": 7645, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "basically your question says that this angle is given", "session_id": 7645, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "~.339", "session_id": 7645, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "and from this you have to calculate the rest", "session_id": 7645, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "Got it", "session_id": 7645, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "for equator the formula should be theta*pi", "session_id": 7645, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "if you want to convert it to radian you to multiply pi/180 with it", "session_id": 7645, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "what is the result?", "session_id": 7645, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "19.43*pi=61.04", "session_id": 7645, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "then?", "session_id": 7645, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "this is correct", "session_id": 7645, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "but you have to convert it to radian", "session_id": 7645, "sequence_id": 29, "annotations": []}
{"role": "student", "content": "19.43* pi/180 =0.339", "session_id": 7645, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "how?", "session_id": 7645, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "i get it", "session_id": 7645, "sequence_id": 32, "annotations": []}
{"role": "volunteer", "content": "but you missed to multiply it with the radius", "session_id": 7645, "sequence_id": 33, "annotations": []}
{"role": "student", "content": "ooh okay wait", "session_id": 7645, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "so that times 3960 = 1342.91", "session_id": 7645, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 7645, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "perfect", "session_id": 7645, "sequence_id": 37, "annotations": []}
{"role": "volunteer", "content": "you got the first one", "session_id": 7645, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "omg there was confetti", "session_id": 7645, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "yay", "session_id": 7645, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "yay", "session_id": 7645, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "can we go to the second?", "session_id": 7645, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "yes", "session_id": 7645, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "the second one says we have to calculate the distance of the city from north pole", "session_id": 7645, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "so look at the figure", "session_id": 7645, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "we have to calculate the red arcdistance", "session_id": 7645, "sequence_id": 46, "annotations": []}
{"role": "volunteer", "content": "can you guess how can we do it?", "session_id": 7645, "sequence_id": 47, "annotations": []}
{"role": "student", "content": "not sure", "session_id": 7645, "sequence_id": 48, "annotations": []}
{"role": "volunteer", "content": "no worries", "session_id": 7645, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "we that formula that we used for the first question", "session_id": 7645, "sequence_id": 50, "annotations": []}
{"role": "volunteer", "content": "theta*R", "session_id": 7645, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "how can we calculate the theta for red?", "session_id": 7645, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "we know north to eqador is 90 degrees", "session_id": 7645, "sequence_id": 53, "annotations": []}
{"role": "student", "content": "to equator?", "session_id": 7645, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "yup", "session_id": 7645, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "north to equator", "session_id": 7645, "sequence_id": 56, "annotations": []}
{"role": "student", "content": "90-19.43=70.57", "session_id": 7645, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "perfect", "session_id": 7645, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "now if we want to determine the distance what should we do?", "session_id": 7645, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "you already know the theta", "session_id": 7645, "sequence_id": 60, "annotations": []}
{"role": "student", "content": "70.57*pi/180*3960=4,877.448", "session_id": 7645, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 7645, "sequence_id": 62, "annotations": []}
{"role": "student", "content": "I love this confetti", "session_id": 7645, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "i love it toooo", "session_id": 7645, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "you got the second one too Maya", "session_id": 7645, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "yayyyy", "session_id": 7645, "sequence_id": 66, "annotations": []}
{"role": "student", "content": "yay im writing this down", "session_id": 7645, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "sure", "session_id": 7645, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "i am here, take your time", "session_id": 7645, "sequence_id": 69, "annotations": []}
{"role": "student", "content": "thanks. So for South Pole, do I add 90 to 19.43", "session_id": 7645, "sequence_id": 70, "annotations": []}
{"role": "student", "content": "since it's different in the south", "session_id": 7645, "sequence_id": 71, "annotations": []}
{"role": "volunteer", "content": "Exactly!", "session_id": 7645, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "wow", "session_id": 7645, "sequence_id": 73, "annotations": []}
{"role": "student", "content": "im cooking", "session_id": 7645, "sequence_id": 74, "annotations": []}
{"role": "volunteer", "content": "you are so smart Maya", "session_id": 7645, "sequence_id": 75, "annotations": [{"pii_type": "PERSON", "surrogate": "Maya", "start": 17, "end": 21}]}
{"role": "student", "content": "lol thank you", "session_id": 7645, "sequence_id": 76, "annotations": []}
{"role": "student", "content": "CONFETTI YAY", "session_id": 7645, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "yaayyyyyy", "session_id": 7645, "sequence_id": 78, "annotations": []}
{"role": "student", "content": "so 19.43*pi/180*3960=7,563.259", "session_id": 7645, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "yup", "session_id": 7645, "sequence_id": 80, "annotations": []}
{"role": "volunteer", "content": "perfect", "session_id": 7645, "sequence_id": 81, "annotations": []}
{"role": "student", "content": "yay I wrote it down", "session_id": 7645, "sequence_id": 82, "annotations": []}
{"role": "volunteer", "content": "yay", "session_id": 7645, "sequence_id": 83, "annotations": []}
{"role": "volunteer", "content": "do you need help with anything else, Maya?", "session_id": 7645, "sequence_id": 84, "annotations": []}
{"role": "student", "content": "can we do 3? the formulas are different there I'm pretty sure, and I haven't gotten them drilled into my head yet", "session_id": 7645, "sequence_id": 85, "annotations": []}
{"role": "volunteer", "content": "sure sure", "session_id": 7645, "sequence_id": 86, "annotations": []}
{"role": "student", "content": "the whole thing with revolutions and v", "session_id": 7645, "sequence_id": 87, "annotations": []}
{"role": "volunteer", "content": "whats wr?", "session_id": 7645, "sequence_id": 88, "annotations": []}
{"role": "student", "content": "linear velocity", "session_id": 7645, "sequence_id": 89, "annotations": []}
{"role": "volunteer", "content": "oh okay", "session_id": 7645, "sequence_id": 90, "annotations": []}
{"role": "student", "content": "v= 2pi/1 revolution 360 degrees/1 revolution", "session_id": 7645, "sequence_id": 91, "annotations": []}
{"role": "volunteer", "content": "so do you know any formula related to this?", "session_id": 7645, "sequence_id": 92, "annotations": []}
{"role": "student", "content": "v=rw", "session_id": 7645, "sequence_id": 93, "annotations": []}
{"role": "student", "content": "I forgot what w is", "session_id": 7645, "sequence_id": 94, "annotations": []}
{"role": "student", "content": "or w= theta/time", "session_id": 7645, "sequence_id": 95, "annotations": []}
{"role": "volunteer", "content": "w is 2pi*N", "session_id": 7645, "sequence_id": 96, "annotations": []}
{"role": "student", "content": "what's N", "session_id": 7645, "sequence_id": 97, "annotations": []}
{"role": "volunteer", "content": "600 rpm", "session_id": 7645, "sequence_id": 98, "annotations": []}
{"role": "volunteer", "content": "N = rotational speed", "session_id": 7645, "sequence_id": 99, "annotations": []}
{"role": "student", "content": "oh I see", "session_id": 7645, "sequence_id": 100, "annotations": []}
{"role": "volunteer", "content": "okay first we calculate w", "session_id": 7645, "sequence_id": 101, "annotations": []}
{"role": "volunteer", "content": "can you try?", "session_id": 7645, "sequence_id": 102, "annotations": []}
{"role": "student", "content": "yes hmmmm", "session_id": 7645, "sequence_id": 103, "annotations": []}
{"role": "student", "content": "lowkey I'm not sure what to multiply because there are so many values", "session_id": 7645, "sequence_id": 104, "annotations": []}
{"role": "volunteer", "content": "put the values", "session_id": 7645, "sequence_id": 105, "annotations": []}
{"role": "volunteer", "content": "in this equation", "session_id": 7645, "sequence_id": 106, "annotations": []}
{"role": "volunteer", "content": "here N = 600", "session_id": 7645, "sequence_id": 107, "annotations": []}
{"role": "student", "content": "2*pi*600=3,769.911", "session_id": 7645, "sequence_id": 108, "annotations": []}
{"role": "volunteer", "content": "yup", "session_id": 7645, "sequence_id": 109, "annotations": []}
{"role": "volunteer", "content": "now by doing this", "session_id": 7645, "sequence_id": 110, "annotations": []}
{"role": "volunteer", "content": "we have converted rpm to radians per min", "session_id": 7645, "sequence_id": 111, "annotations": []}
{"role": "volunteer", "content": "next step is to follow v = rw formula", "session_id": 7645, "sequence_id": 112, "annotations": []}
{"role": "volunteer", "content": "can you do it?", "session_id": 7645, "sequence_id": 113, "annotations": []}
{"role": "volunteer", "content": "r is 9 ft , given in the question", "session_id": 7645, "sequence_id": 114, "annotations": []}
{"role": "student", "content": "v= 9*5280", "session_id": 7645, "sequence_id": 115, "annotations": []}
{"role": "student", "content": "9*5280=47,520", "session_id": 7645, "sequence_id": 116, "annotations": []}
{"role": "volunteer", "content": "yup", "session_id": 7645, "sequence_id": 117, "annotations": []}
{"role": "student", "content": "oh wow I was just plugging in hoping it's right", "session_id": 7645, "sequence_id": 118, "annotations": []}
{"role": "volunteer", "content": "but", "session_id": 7645, "sequence_id": 119, "annotations": []}
{"role": "volunteer", "content": "why did you do it?", "session_id": 7645, "sequence_id": 120, "annotations": []}
{"role": "student", "content": "if the radius is 9, the w of angular speed can be plugged in radians per minute", "session_id": 7645, "sequence_id": 121, "annotations": []}
{"role": "volunteer", "content": "but why?", "session_id": 7645, "sequence_id": 122, "annotations": []}
{"role": "student", "content": "not exactly sure", "session_id": 7645, "sequence_id": 123, "annotations": []}
{"role": "volunteer", "content": "see the problem says you have to and it with miles per hour unit", "session_id": 7645, "sequence_id": 124, "annotations": []}
{"role": "volunteer", "content": "but radius is given in feet", "session_id": 7645, "sequence_id": 125, "annotations": []}
{"role": "volunteer", "content": "not in miles", "session_id": 7645, "sequence_id": 126, "annotations": []}
{"role": "student", "content": "so we're converting", "session_id": 7645, "sequence_id": 127, "annotations": []}
{"role": "volunteer", "content": "yup", "session_id": 7645, "sequence_id": 128, "annotations": []}
{"role": "volunteer", "content": "check one more time if you conversion is right", "session_id": 7645, "sequence_id": 129, "annotations": []}
{"role": "volunteer", "content": "your*", "session_id": 7645, "sequence_id": 130, "annotations": []}
{"role": "volunteer", "content": "we are converting ft to mile", "session_id": 7645, "sequence_id": 131, "annotations": []}
{"role": "student", "content": "9 ft * 1 mile/5280ft", "session_id": 7645, "sequence_id": 132, "annotations": []}
{"role": "volunteer", "content": "then we are dividing it 5280?", "session_id": 7645, "sequence_id": 133, "annotations": []}
{"role": "volunteer", "content": "right?", "session_id": 7645, "sequence_id": 134, "annotations": []}
{"role": "student", "content": "yes", "session_id": 7645, "sequence_id": 135, "annotations": []}
{"role": "volunteer", "content": "yup", "session_id": 7645, "sequence_id": 136, "annotations": []}
{"role": "volunteer", "content": "now plug it in with w", "session_id": 7645, "sequence_id": 137, "annotations": []}
{"role": "volunteer", "content": "v = rw", "session_id": 7645, "sequence_id": 138, "annotations": []}
{"role": "student", "content": "w= 600 revolution/min * 2pi/revolution= 1200pi/1 minute", "session_id": 7645, "sequence_id": 139, "annotations": []}
{"role": "student", "content": "1200pi/1 minute * 9ft * 1mile/5280 ft", "session_id": 7645, "sequence_id": 140, "annotations": []}
{"role": "volunteer", "content": "yup", "session_id": 7645, "sequence_id": 141, "annotations": []}
{"role": "volunteer", "content": "whats the final value?", "session_id": 7645, "sequence_id": 142, "annotations": []}
{"role": "student", "content": "386 mile/hr because we also multiple by 60min/1 hour", "session_id": 7645, "sequence_id": 143, "annotations": []}
{"role": "volunteer", "content": "and you forgot to convert one thing", "session_id": 7645, "sequence_id": 144, "annotations": []}
{"role": "volunteer", "content": "yup", "session_id": 7645, "sequence_id": 145, "annotations": []}
{"role": "student", "content": "yay", "session_id": 7645, "sequence_id": 146, "annotations": []}
{"role": "volunteer", "content": "you got it", "session_id": 7645, "sequence_id": 147, "annotations": []}
{"role": "student", "content": "confetti!!!", "session_id": 7645, "sequence_id": 148, "annotations": []}
{"role": "student", "content": "yay", "session_id": 7645, "sequence_id": 149, "annotations": []}
{"role": "volunteer", "content": "yup", "session_id": 7645, "sequence_id": 150, "annotations": []}
{"role": "student", "content": "okay wait thank you so much", "session_id": 7645, "sequence_id": 151, "annotations": []}
{"role": "student", "content": "I get it better now", "session_id": 7645, "sequence_id": 152, "annotations": []}
{"role": "volunteer", "content": "you got it Maya", "session_id": 7645, "sequence_id": 153, "annotations": []}
{"role": "student", "content": "I'll just keep doing problems and applying the knowledge", "session_id": 7645, "sequence_id": 154, "annotations": []}
{"role": "student", "content": "Wow!", "session_id": 7645, "sequence_id": 155, "annotations": []}
{"role": "volunteer", "content": "but do you know why are you converting 600 rpm to radians per min?", "session_id": 7645, "sequence_id": 156, "annotations": []}
{"role": "student", "content": "well it asks for the final answer to be in mph", "session_id": 7645, "sequence_id": 157, "annotations": []}
{"role": "volunteer", "content": "yup", "session_id": 7645, "sequence_id": 158, "annotations": []}
{"role": "student", "content": "yay", "session_id": 7645, "sequence_id": 159, "annotations": []}
{"role": "volunteer", "content": "but why you covert that?", "session_id": 7645, "sequence_id": 160, "annotations": []}
{"role": "volunteer", "content": "because", "session_id": 7645, "sequence_id": 161, "annotations": []}
{"role": "volunteer", "content": "600 is the no of spin", "session_id": 7645, "sequence_id": 162, "annotations": []}
{"role": "volunteer", "content": "not the distance", "session_id": 7645, "sequence_id": 163, "annotations": []}
{"role": "volunteer", "content": "so we convert that spin to the distance", "session_id": 7645, "sequence_id": 164, "annotations": []}
{"role": "volunteer", "content": "thats why", "session_id": 7645, "sequence_id": 165, "annotations": []}
{"role": "student", "content": "yea", "session_id": 7645, "sequence_id": 166, "annotations": []}
{"role": "student", "content": "thanks", "session_id": 7645, "sequence_id": 167, "annotations": []}
{"role": "student", "content": "I get it", "session_id": 7645, "sequence_id": 168, "annotations": []}
{"role": "volunteer", "content": "you did really well", "session_id": 7645, "sequence_id": 169, "annotations": []}
{"role": "student", "content": "thank you that's so kind. it was thanks to you", "session_id": 7645, "sequence_id": 170, "annotations": []}
{"role": "volunteer", "content": "best of luck Maya", "session_id": 7645, "sequence_id": 171, "annotations": [{"pii_type": "PERSON", "surrogate": "Maya", "start": 13, "end": 17}]}
{"role": "student", "content": "Also do you happen to be Indian", "session_id": 7645, "sequence_id": 172, "annotations": [{"pii_type": "NRP", "surrogate": "Indian", "start": 25, "end": 31}]}
{"role": "volunteer", "content": "you are most welcome", "session_id": 7645, "sequence_id": 173, "annotations": []}
{"role": "student", "content": "just curious because of your name", "session_id": 7645, "sequence_id": 174, "annotations": []}
{"role": "volunteer", "content": "yup", "session_id": 7645, "sequence_id": 175, "annotations": []}
{"role": "student", "content": "oh my gosh same", "session_id": 7645, "sequence_id": 176, "annotations": []}
{"role": "volunteer", "content": "you too?", "session_id": 7645, "sequence_id": 177, "annotations": []}
{"role": "student", "content": "I'm Pakistani", "session_id": 7645, "sequence_id": 178, "annotations": [{"pii_type": "NRP", "surrogate": "Pakistani", "start": 4, "end": 13}]}
{"role": "volunteer", "content": "same", "session_id": 7645, "sequence_id": 179, "annotations": []}
{"role": "student", "content": "I had a classmate named Anaya when I was younger", "session_id": 7645, "sequence_id": 180, "annotations": [{"pii_type": "PERSON", "surrogate": "Anaya", "start": 24, "end": 29}]}
{"role": "student", "content": "just spelled differently", "session_id": 7645, "sequence_id": 181, "annotations": []}
{"role": "volunteer", "content": "ikr", "session_id": 7645, "sequence_id": 182, "annotations": []}
{"role": "student", "content": "so I was curious", "session_id": 7645, "sequence_id": 183, "annotations": []}
{"role": "student", "content": "oh okay twinsss", "session_id": 7645, "sequence_id": 184, "annotations": []}
{"role": "student", "content": "okay thank youuu. good night!", "session_id": 7645, "sequence_id": 185, "annotations": []}
{"role": "volunteer", "content": "it's a very common name except I am a girl", "session_id": 7645, "sequence_id": 186, "annotations": []}
{"role": "student", "content": "OHH ME TOO", "session_id": 7645, "sequence_id": 187, "annotations": []}
{"role": "student", "content": "okay that's so surprising because I didn't realize it could be used for girls as well", "session_id": 7645, "sequence_id": 188, "annotations": []}
{"role": "volunteer", "content": "yup", "session_id": 7645, "sequence_id": 189, "annotations": []}
{"role": "student", "content": "My names similar except it's more feminine since it has an a at the end", "session_id": 7645, "sequence_id": 190, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 7645, "sequence_id": 191, "annotations": []}
{"role": "student", "content": "that's so cool", "session_id": 7645, "sequence_id": 192, "annotations": []}
{"role": "student", "content": "okay thank you!", "session_id": 7645, "sequence_id": 193, "annotations": []}
{"role": "student", "content": "good night", "session_id": 7645, "sequence_id": 194, "annotations": []}
{"role": "volunteer", "content": "nice to meet you", "session_id": 7645, "sequence_id": 195, "annotations": []}
{"role": "volunteer", "content": "good night", "session_id": 7645, "sequence_id": 196, "annotations": []}
{"role": "student", "content": "nice to meet you too :)", "session_id": 7645, "sequence_id": 197, "annotations": []}
{"role": "volunteer", "content": "OK, I hope you can hear me", "session_id": 7729, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "Hey, I would like to um deepen my understanding for in statistics for Chapter 5 on hypothesis testing with the means of the sample.", "session_id": 7729, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "Right. And you said you had a practice problem, right?", "session_id": 7729, "sequence_id": 2, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 7729, "sequence_id": 3, "annotations": []}
{"role": "volunteer", "content": "OK. Are you able to show me the practice problem and we can try it.", "session_id": 7729, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "Let me just", "session_id": 7729, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "OK", "session_id": 7729, "sequence_id": 6, "annotations": []}
{"role": "student", "content": "1. Why is the standard deviation of the distribution of means generally\nsmaller than the standard deviation of the distribution of the population of\nindividuals?\n2. For a population that has a standard deviation of 10, figure the standard\ndeviation of the distribution of means for samples of size (a) 2, (b) 3, (c) 4,\nand (d) 9.\n3. For a population that has a standard deviation of 20, figure the standard\ndeviation of the distribution of means for samples of size (a) 2, (b) 3, (c) 4,\nand (d) 9.", "session_id": 7729, "sequence_id": 7, "annotations": []}
{"role": "volunteer", "content": "Let", "session_id": 7729, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "These are the questions I want to practice first.", "session_id": 7729, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 7729, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "All right", "session_id": 7729, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "OK, we can start with the first question. Do you have any, any gas?", "session_id": 7729, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "Is, um, so the first one is because um", "session_id": 7729, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "the um", "session_id": 7729, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "it's because it wears among the um among the population.", "session_id": 7729, "sequence_id": 15, "annotations": []}
{"role": "volunteer", "content": "Yes, if you have um", "session_id": 7729, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "if you have a population of, of individuals and you just take", "session_id": 7729, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "the value of one", "session_id": 7729, "sequence_id": 18, "annotations": []}
{"role": "volunteer", "content": "one person", "session_id": 7729, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "that can vary a lot, but when you take the mean, you add up", "session_id": 7729, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "data from many people like can be a large sample.", "session_id": 7729, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "and then you divide by the number of data points and that's your sample mean. So it's very difficult for that to vary. It will vary much less so that when you calculate, for example, if the standard deviation", "session_id": 7729, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "of the population.", "session_id": 7729, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "Well, the answer is that it bears among the population, um.", "session_id": 7729, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "right.", "session_id": 7729, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "Well, it varies among the population, but the sample mean will vary much less", "session_id": 7729, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "than the individuals in the population.", "session_id": 7729, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "I'll, I'll give you an example. I'll, I'll write on the board, if you have, if you have a variable x, you see what I'm writing on the board?", "session_id": 7729, "sequence_id": 28, "annotations": []}
{"role": "volunteer", "content": "So let's say the standard deviation of X", "session_id": 7729, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "is sigma, then if you", "session_id": 7729, "sequence_id": 30, "annotations": []}
{"role": "volunteer", "content": "look at the", "session_id": 7729, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "sample mean, so that's x bar. Do you see that?", "session_id": 7729, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "Yes, I see that", "session_id": 7729, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "OK. So, this is, this is.", "session_id": 7729, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "That's also called the um the variants, right?", "session_id": 7729, "sequence_id": 35, "annotations": []}
{"role": "volunteer", "content": "uh no, the variance is something else. The variance is the square of the standard deviation.", "session_id": 7729, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "So the sample mean", "session_id": 7729, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "And the X bars the sample mean.", "session_id": 7729, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "that's right", "session_id": 7729, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "And when you calculate the standard deviation of the sample mean, that will be", "session_id": 7729, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "sigma, which is the standard deviation divided by the square root of N. N is the sample size. So when you divide by", "session_id": 7729, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "the square root of a large number, the standard deviation of the sample mean will always be much smaller", "session_id": 7729, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "So there's much less variation", "session_id": 7729, "sequence_id": 43, "annotations": []}
{"role": "student", "content": "So what is the stigma again?", "session_id": 7729, "sequence_id": 44, "annotations": []}
{"role": "volunteer", "content": "Sigma, I'm gonna circle it in red. That's the standard deviation. I circled it in yellow.", "session_id": 7729, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "Um", "session_id": 7729, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "and access the like the wall score, right?", "session_id": 7729, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "Well, yes, that's correct", "session_id": 7729, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "So the correct answer to this question is, it varies among the sample, but if the, it will vary with the sample me, but, but it will be based on the sample mean, right?", "session_id": 7729, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "That's right. And the variation will be much smaller", "session_id": 7729, "sequence_id": 50, "annotations": []}
{"role": "student", "content": "So it's basically like it varies among the sample mean of the population.", "session_id": 7729, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "Right", "session_id": 7729, "sequence_id": 52, "annotations": []}
{"role": "student", "content": "OK, I'm ready for number 2.", "session_id": 7729, "sequence_id": 53, "annotations": []}
{"role": "volunteer", "content": "For number 2, we wrote the same formula I wrote on the board. So I'll write, I'll just start to write the data for number 2.", "session_id": 7729, "sequence_id": 54, "annotations": []}
{"role": "volunteer", "content": "So it tells us", "session_id": 7729, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "OK, let me read number 2. So a population has a standard deviation of 10", "session_id": 7729, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "So we write", "session_id": 7729, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "so", "session_id": 7729, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "for X", "session_id": 7729, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "the standard deviation is 10", "session_id": 7729, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "and they're asking for", "session_id": 7729, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "the standard deviation", "session_id": 7729, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "of the distribution of means.", "session_id": 7729, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "So the mean is x bar", "session_id": 7729, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "and the formula for the standard deviation of the sample mean is sigma", "session_id": 7729, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "over square root of n and for question A, they tell us that sigma.", "session_id": 7729, "sequence_id": 66, "annotations": []}
{"role": "volunteer", "content": "is", "session_id": 7729, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "2", "session_id": 7729, "sequence_id": 68, "annotations": []}
{"role": "student", "content": "So it will be 10 divided by the square root of the um temple size, right?", "session_id": 7729, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "That's right", "session_id": 7729, "sequence_id": 70, "annotations": []}
{"role": "student", "content": "which gave me like", "session_id": 7729, "sequence_id": 71, "annotations": []}
{"role": "student", "content": "which gave me 7.07.", "session_id": 7729, "sequence_id": 72, "annotations": []}
{"role": "volunteer", "content": "Correct", "session_id": 7729, "sequence_id": 73, "annotations": []}
{"role": "volunteer", "content": "And sometimes we write it like this", "session_id": 7729, "sequence_id": 74, "annotations": []}
{"role": "volunteer", "content": "We write like a sigma and a little X bar to show that it's the standard deviation of the mean.", "session_id": 7729, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "So like this", "session_id": 7729, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "and then you do do the same for question B.", "session_id": 7729, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "The only difference is question B is a different value of n.", "session_id": 7729, "sequence_id": 78, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 7729, "sequence_id": 79, "annotations": []}
{"role": "student", "content": "because the way I solve it, it is like I put 10 square, which is 100 divided by 2, which gives me the um um and then I do the square root of 50, um, which also gives me the same answer, 7.07.", "session_id": 7729, "sequence_id": 80, "annotations": []}
{"role": "volunteer", "content": "Yes, you can do it that way", "session_id": 7729, "sequence_id": 81, "annotations": []}
{"role": "student", "content": "And the answer to the first question was that it varies among the population based on the sample of the mean, right?", "session_id": 7729, "sequence_id": 82, "annotations": []}
{"role": "volunteer", "content": "Yes", "session_id": 7729, "sequence_id": 83, "annotations": []}
{"role": "student", "content": "OK, I'm ready to move on to number 3.", "session_id": 7729, "sequence_id": 84, "annotations": []}
{"role": "volunteer", "content": "Oh", "session_id": 7729, "sequence_id": 85, "annotations": []}
{"role": "student", "content": "Oh, let me, let me, let us solve all parts of number one first, sorry.", "session_id": 7729, "sequence_id": 86, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 7729, "sequence_id": 87, "annotations": []}
{"role": "volunteer", "content": "Mm.", "session_id": 7729, "sequence_id": 88, "annotations": []}
{"role": "student", "content": "For number 2, I got phone number um 4B. I got um 10 divided by the square root of 3, which equals to 5.77.", "session_id": 7729, "sequence_id": 89, "annotations": []}
{"role": "volunteer", "content": "That's correct", "session_id": 7729, "sequence_id": 90, "annotations": []}
{"role": "volunteer", "content": "And you know it is that as the value of N.", "session_id": 7729, "sequence_id": 91, "annotations": []}
{"role": "student", "content": "Or C, I have an answer of 5.", "session_id": 7729, "sequence_id": 92, "annotations": []}
{"role": "volunteer", "content": "That's correct", "session_id": 7729, "sequence_id": 93, "annotations": []}
{"role": "student", "content": "And then for D, I have an answer of um 3.33, 10 divided by the square root of 9.", "session_id": 7729, "sequence_id": 94, "annotations": []}
{"role": "volunteer", "content": "That's right", "session_id": 7729, "sequence_id": 95, "annotations": []}
{"role": "volunteer", "content": "Correct", "session_id": 7729, "sequence_id": 96, "annotations": []}
{"role": "student", "content": "Let's move on to number 3 now.", "session_id": 7729, "sequence_id": 97, "annotations": []}
{"role": "volunteer", "content": "Right", "session_id": 7729, "sequence_id": 98, "annotations": []}
{"role": "student", "content": "So for A, I got um", "session_id": 7729, "sequence_id": 99, "annotations": []}
{"role": "student", "content": "14.1.", "session_id": 7729, "sequence_id": 100, "annotations": []}
{"role": "volunteer", "content": "Yes, that's correct.", "session_id": 7729, "sequence_id": 101, "annotations": []}
{"role": "student", "content": "For me, I did the", "session_id": 7729, "sequence_id": 102, "annotations": []}
{"role": "student", "content": "um, so I need my square, which 400 divided by 3, and then I get a square root of 13133.3 and then that equals to 11.5.", "session_id": 7729, "sequence_id": 103, "annotations": []}
{"role": "volunteer", "content": "Yes, that works", "session_id": 7729, "sequence_id": 104, "annotations": []}
{"role": "student", "content": "And then for C, I did 2 divided by the square root of 4 which is 10.", "session_id": 7729, "sequence_id": 105, "annotations": []}
{"role": "volunteer", "content": "Yup, that's good", "session_id": 7729, "sequence_id": 106, "annotations": []}
{"role": "student", "content": "And then for D, I got, I, I 400 divided by 9, which equals to 44.4, the square root of 44.4, which equals to 6.66.", "session_id": 7729, "sequence_id": 107, "annotations": []}
{"role": "volunteer", "content": "You got it. That's correct", "session_id": 7729, "sequence_id": 108, "annotations": []}
{"role": "student", "content": "OK, so I'm gonna give you a practice problem that requires um award problem type of thing now. We're gonna move on to that.", "session_id": 7729, "sequence_id": 109, "annotations": []}
{"role": "volunteer", "content": "All right", "session_id": 7729, "sequence_id": 110, "annotations": []}
{"role": "student", "content": "Mm imbu.", "session_id": 7729, "sequence_id": 111, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 7729, "sequence_id": 112, "annotations": []}
{"role": "student", "content": "you cannot", "session_id": 7729, "sequence_id": 113, "annotations": []}
{"role": "student", "content": "OK", "session_id": 7729, "sequence_id": 114, "annotations": []}
{"role": "student", "content": "Hm.", "session_id": 7729, "sequence_id": 115, "annotations": []}
{"role": "student", "content": "what's one name?", "session_id": 7729, "sequence_id": 116, "annotations": []}
{"role": "student", "content": "19. A researcher is interested in whether people are able to identify emotions\ncorrectly when they are extremely tired. It is known that, using a particular method\nof measurement, the accuracy ratings of people in the general population (who are\nnot extremely tired) are normally distributed with a mean of 82 and a variance of 20.\nIn the present study, however, the researcher arranges to test 50 people who had no\nsleep the previous night. The mean accuracy for these 50 individuals was 78. Using\nthe .05 level, what should the researcher conclude? (a) Carry out a Z test using the\nfive steps of hypothesis testing. (b) Make a drawing of the distributions involved.\n(c) Explain your answer to someone who knows about hypothesis testing with a\nsample of a single individual but who knows nothing about hypothesis testing with\na sample of more than one individual. (d) 4: Figure the 95%\nconfidence interval and explain your answer to someone who is familiar with the\ngeneral logic of hypothesis testing, the normal curve, Z scores, probability, and the\nidea of a distribution of means, but who has not heard of confidence intervals.", "session_id": 7729, "sequence_id": 117, "annotations": []}
{"role": "student", "content": "Solve this pro um", "session_id": 7729, "sequence_id": 118, "annotations": []}
{"role": "student", "content": "solve this problem with um all the five steps of hypothesis testing.", "session_id": 7729, "sequence_id": 119, "annotations": []}
{"role": "student", "content": "With the hypothesis testing procedure.", "session_id": 7729, "sequence_id": 120, "annotations": []}
{"role": "volunteer", "content": "OK, I'm reading the problem", "session_id": 7729, "sequence_id": 121, "annotations": []}
{"role": "volunteer", "content": "So it says a researcher is interested in whether people are able to identify emotions correctly when they are extremely tired. It is known that using a particular method of measurement", "session_id": 7729, "sequence_id": 122, "annotations": []}
{"role": "volunteer", "content": "the accuracy ratings of people in the general population who are not extremely", "session_id": 7729, "sequence_id": 123, "annotations": []}
{"role": "volunteer", "content": "are normally distributed", "session_id": 7729, "sequence_id": 124, "annotations": []}
{"role": "volunteer", "content": "OK, so we'll note those numbers. So we have a first group of people who are not tired, so the meme", "session_id": 7729, "sequence_id": 125, "annotations": []}
{"role": "volunteer", "content": "is 82 and the variance", "session_id": 7729, "sequence_id": 126, "annotations": []}
{"role": "volunteer", "content": "that's the square of the standard deviation is 20. In the present study, however, the researcher arranges to test.", "session_id": 7729, "sequence_id": 127, "annotations": []}
{"role": "volunteer", "content": "50 people who had no sleep the previous night. So obviously they're tired.", "session_id": 7729, "sequence_id": 128, "annotations": []}
{"role": "volunteer", "content": "The mean accuracy for these 50 individuals", "session_id": 7729, "sequence_id": 129, "annotations": []}
{"role": "volunteer", "content": "was 78, so that is the, that's our X bar is 78.", "session_id": 7729, "sequence_id": 130, "annotations": []}
{"role": "volunteer", "content": "using the", "session_id": 7729, "sequence_id": 131, "annotations": []}
{"role": "volunteer", "content": "0, the 0.05 level what?", "session_id": 7729, "sequence_id": 132, "annotations": []}
{"role": "volunteer", "content": "should the researcher conclude?", "session_id": 7729, "sequence_id": 133, "annotations": []}
{"role": "volunteer", "content": "Hey, carry out the Z test using 5 steps of hypothesis testing.", "session_id": 7729, "sequence_id": 134, "annotations": []}
{"role": "volunteer", "content": "Make a drawing of the distributions involved. Explain your answer", "session_id": 7729, "sequence_id": 135, "annotations": []}
{"role": "volunteer", "content": "etc", "session_id": 7729, "sequence_id": 136, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 7729, "sequence_id": 137, "annotations": []}
{"role": "volunteer", "content": "OK, so", "session_id": 7729, "sequence_id": 138, "annotations": []}
{"role": "student", "content": "OK", "session_id": 7729, "sequence_id": 139, "annotations": []}
{"role": "volunteer", "content": "we have two things we're gonna do. We have a um", "session_id": 7729, "sequence_id": 140, "annotations": []}
{"role": "volunteer", "content": "so we have a group", "session_id": 7729, "sequence_id": 141, "annotations": []}
{"role": "volunteer", "content": "that is not typed, so I'm gonna write that on the board.", "session_id": 7729, "sequence_id": 142, "annotations": []}
{"role": "student", "content": "So, first, sorry, sorry. So first I wanted to like the the way my instructor did it is first we had to figure out the two populations being compared before we stayed the north and the research hypothesis.", "session_id": 7729, "sequence_id": 143, "annotations": []}
{"role": "volunteer", "content": "Right", "session_id": 7729, "sequence_id": 144, "annotations": []}
{"role": "volunteer", "content": "OK, so the first population is the people", "session_id": 7729, "sequence_id": 145, "annotations": []}
{"role": "volunteer", "content": "who are", "session_id": 7729, "sequence_id": 146, "annotations": []}
{"role": "volunteer", "content": "not tired", "session_id": 7729, "sequence_id": 147, "annotations": []}
{"role": "student", "content": "So that would be the research hypothesis, ages of one.", "session_id": 7729, "sequence_id": 148, "annotations": []}
{"role": "volunteer", "content": "Uh, we haven't", "session_id": 7729, "sequence_id": 149, "annotations": []}
{"role": "volunteer", "content": "we haven't given the hypothesis yet. I'm just writing.", "session_id": 7729, "sequence_id": 150, "annotations": []}
{"role": "volunteer", "content": "Yeah.", "session_id": 7729, "sequence_id": 151, "annotations": []}
{"role": "volunteer", "content": "OK, so", "session_id": 7729, "sequence_id": 152, "annotations": []}
{"role": "student", "content": "Oh no. Oh, I, oh, the, figuring out the populations.", "session_id": 7729, "sequence_id": 153, "annotations": []}
{"role": "volunteer", "content": "right", "session_id": 7729, "sequence_id": 154, "annotations": []}
{"role": "student", "content": "Oh.", "session_id": 7729, "sequence_id": 155, "annotations": []}
{"role": "volunteer", "content": "So we have", "session_id": 7729, "sequence_id": 156, "annotations": []}
{"role": "volunteer", "content": "so we have new", "session_id": 7729, "sequence_id": 157, "annotations": []}
{"role": "volunteer", "content": "This is the, the known meme.", "session_id": 7729, "sequence_id": 158, "annotations": []}
{"role": "volunteer", "content": "is 82", "session_id": 7729, "sequence_id": 159, "annotations": []}
{"role": "volunteer", "content": "and the", "session_id": 7729, "sequence_id": 160, "annotations": []}
{"role": "volunteer", "content": "variance", "session_id": 7729, "sequence_id": 161, "annotations": []}
{"role": "volunteer", "content": "is", "session_id": 7729, "sequence_id": 162, "annotations": []}
{"role": "volunteer", "content": "when", "session_id": 7729, "sequence_id": 163, "annotations": []}
{"role": "student", "content": "Oh, so, wait, wait a minute. Hold up. So the 82 is the popular population of the means, right?", "session_id": 7729, "sequence_id": 164, "annotations": []}
{"role": "volunteer", "content": "uh, it's the, it's the mean of the population of the people who are not tired. So that's the first group. I'm gonna write it here. So first group", "session_id": 7729, "sequence_id": 165, "annotations": []}
{"role": "volunteer", "content": "we'll call it not tired.", "session_id": 7729, "sequence_id": 166, "annotations": []}
{"role": "volunteer", "content": "And then the second group", "session_id": 7729, "sequence_id": 167, "annotations": []}
{"role": "volunteer", "content": "the second group, we got", "session_id": 7729, "sequence_id": 168, "annotations": []}
{"role": "volunteer", "content": "X bar", "session_id": 7729, "sequence_id": 169, "annotations": []}
{"role": "volunteer", "content": "the group that is tired", "session_id": 7729, "sequence_id": 170, "annotations": []}
{"role": "volunteer", "content": "Xar", "session_id": 7729, "sequence_id": 171, "annotations": []}
{"role": "volunteer", "content": "equals", "session_id": 7729, "sequence_id": 172, "annotations": []}
{"role": "volunteer", "content": "50", "session_id": 7729, "sequence_id": 173, "annotations": []}
{"role": "student", "content": "Wait, can you slow down? I'm writing this stuff down.", "session_id": 7729, "sequence_id": 174, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 7729, "sequence_id": 175, "annotations": []}
{"role": "student", "content": "Yeah, cause I just took an exam over this chapter and intro to hypothesis testing, and it was kind of difficult like the, the problem solving part because my exam is like, OK, we get 50 points on the multiple choice part and 50 points for problem solving, and there were two problem-solving questions both from this chapter. And so what happened was the teacher, um, she introduced the chapter two days before the", "session_id": 7729, "sequence_id": 176, "annotations": []}
{"role": "student", "content": "exam, so it was hard for me to grasp, like, the only thing I remember from this chapter is figuring out the upper and the lower limits of the confident intervals.", "session_id": 7729, "sequence_id": 177, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 7729, "sequence_id": 178, "annotations": []}
{"role": "student", "content": "which is an easy task, like, but it's free, uh, easy because I just had to know my critical values and then multiplied by my um population standard deviation of the means, plus the meat sample meat, like the began.", "session_id": 7729, "sequence_id": 179, "annotations": []}
{"role": "volunteer", "content": "Right, OK, well, this is what we're gonna be testing. So I'm writing the data here, so it tells us that we have 50 individuals.", "session_id": 7729, "sequence_id": 180, "annotations": []}
{"role": "student", "content": "So the X is 50.", "session_id": 7729, "sequence_id": 181, "annotations": []}
{"role": "volunteer", "content": "No, N, N is 50.", "session_id": 7729, "sequence_id": 182, "annotations": []}
{"role": "student", "content": "Oh, the sample sizes 50.", "session_id": 7729, "sequence_id": 183, "annotations": []}
{"role": "volunteer", "content": "50, and it tells us that the amine", "session_id": 7729, "sequence_id": 184, "annotations": []}
{"role": "volunteer", "content": "X bar", "session_id": 7729, "sequence_id": 185, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 7729, "sequence_id": 186, "annotations": []}
{"role": "volunteer", "content": "is 78.", "session_id": 7729, "sequence_id": 187, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 7729, "sequence_id": 188, "annotations": []}
{"role": "volunteer", "content": "Now, it tells us that", "session_id": 7729, "sequence_id": 189, "annotations": []}
{"role": "volunteer", "content": "the significance level is 0.05. So I'm gonna write that down.", "session_id": 7729, "sequence_id": 190, "annotations": []}
{"role": "volunteer", "content": "So", "session_id": 7729, "sequence_id": 191, "annotations": []}
{"role": "student", "content": "So population one was um people who were not tired and population too is people who are tired.", "session_id": 7729, "sequence_id": 192, "annotations": []}
{"role": "volunteer", "content": "that's right", "session_id": 7729, "sequence_id": 193, "annotations": []}
{"role": "student", "content": "Thank you for coming back again. Achieve University's website thing.", "session_id": 7729, "sequence_id": 194, "annotations": [{"pii_type": "SCHOOL", "surrogate": "Achieve University", "start": 33, "end": 51}]}
{"role": "volunteer", "content": "OK", "session_id": 7729, "sequence_id": 195, "annotations": []}
{"role": "student", "content": "Yeah.", "session_id": 7729, "sequence_id": 196, "annotations": []}
{"role": "student", "content": "Population tools people who are extremely tired, right?", "session_id": 7729, "sequence_id": 197, "annotations": []}
{"role": "volunteer", "content": "That's right", "session_id": 7729, "sequence_id": 198, "annotations": []}
{"role": "student", "content": "Because on the exam, I had problem figuring out which two pro which two populations were being compared.", "session_id": 7729, "sequence_id": 199, "annotations": []}
{"role": "volunteer", "content": "Right", "session_id": 7729, "sequence_id": 200, "annotations": []}
{"role": "student", "content": "I was stuck on there", "session_id": 7729, "sequence_id": 201, "annotations": []}
{"role": "volunteer", "content": "Yeah, there's more than one way to do this. We cannot compare the two means directly because they, they don't tell us how many people are in the first group, people who are not tired, they only give us the mean and the variance for the, the group of tired people, group number 2, we, we're given the value of n, which is 50", "session_id": 7729, "sequence_id": 202, "annotations": []}
{"role": "volunteer", "content": "and um", "session_id": 7729, "sequence_id": 203, "annotations": []}
{"role": "volunteer", "content": "and they tell us that their accuracy was 78.", "session_id": 7729, "sequence_id": 204, "annotations": []}
{"role": "volunteer", "content": "So what we're gonna do, I'm gonna show you how to formulate the hypothesis.", "session_id": 7729, "sequence_id": 205, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 7729, "sequence_id": 206, "annotations": []}
{"role": "volunteer", "content": "All right, so", "session_id": 7729, "sequence_id": 207, "annotations": []}
{"role": "volunteer", "content": "we're gonna write the", "session_id": 7729, "sequence_id": 208, "annotations": []}
{"role": "volunteer", "content": "so that's the second group, so that we start with what's called the null hypothesis.", "session_id": 7729, "sequence_id": 209, "annotations": []}
{"role": "student", "content": "No, but wait a second. My instructor, she starts with the research hypothesis.", "session_id": 7729, "sequence_id": 210, "annotations": []}
{"role": "student", "content": "like the 8 of 1, we call it H1.", "session_id": 7729, "sequence_id": 211, "annotations": []}
{"role": "volunteer", "content": "OK. H sub 1. All right, we'll write that one first. I'll", "session_id": 7729, "sequence_id": 212, "annotations": []}
{"role": "volunteer", "content": "OK.", "session_id": 7729, "sequence_id": 213, "annotations": []}
{"role": "student", "content": "Yeah, that's how I work my homework problems and stuff. So hopefully, I'm, I'm hoping that it doesn't bother you. Sorry, but.", "session_id": 7729, "sequence_id": 214, "annotations": []}
{"role": "volunteer", "content": "No, that's fine", "session_id": 7729, "sequence_id": 215, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 7729, "sequence_id": 216, "annotations": []}
{"role": "volunteer", "content": "So", "session_id": 7729, "sequence_id": 217, "annotations": []}
{"role": "volunteer", "content": "naturally we think that people who are tired will not perform as well, so we're going to see if they perform just as well or if they're worse than the people who are not tired.", "session_id": 7729, "sequence_id": 218, "annotations": []}
{"role": "volunteer", "content": "So what we're gonna do", "session_id": 7729, "sequence_id": 219, "annotations": []}
{"role": "volunteer", "content": "we're gonna write the, this is the mean of the population", "session_id": 7729, "sequence_id": 220, "annotations": []}
{"role": "volunteer", "content": "who is", "session_id": 7729, "sequence_id": 221, "annotations": []}
{"role": "volunteer", "content": "tired. This is, we pronounce this new. You see this little symbol that I wrote.", "session_id": 7729, "sequence_id": 222, "annotations": []}
{"role": "student", "content": "I don't", "session_id": 7729, "sequence_id": 223, "annotations": []}
{"role": "volunteer", "content": "I led it in that, that's, that's pronounced mute. That's the symbol for the mean of the second group, the tired people, and the research hypothesis is", "session_id": 7729, "sequence_id": 224, "annotations": []}
{"role": "student", "content": "Wait, how do I move this toolbox so I can see the information you have written, cause it's blocking the information you wrote.", "session_id": 7729, "sequence_id": 225, "annotations": []}
{"role": "volunteer", "content": "oh, you can't see the book", "session_id": 7729, "sequence_id": 226, "annotations": []}
{"role": "student", "content": "I, I can't see the board, but the two parks in the middle is blocking the information you wrote for number 19, problem number 19.", "session_id": 7729, "sequence_id": 227, "annotations": []}
{"role": "volunteer", "content": "OK, can you scroll up and down?", "session_id": 7729, "sequence_id": 228, "annotations": []}
{"role": "student", "content": "Oh, yes, I see, I see, sorry. I see.", "session_id": 7729, "sequence_id": 229, "annotations": []}
{"role": "volunteer", "content": "OK. So we, we think that the, the research hypothesis is to see if the mean of the tired people will be less than the mean of the not tired people, so I'm going to write it like this.", "session_id": 7729, "sequence_id": 230, "annotations": []}
{"role": "volunteer", "content": "Sou sub 2", "session_id": 7729, "sequence_id": 231, "annotations": []}
{"role": "volunteer", "content": "less than mu sub one, that will be what you call the", "session_id": 7729, "sequence_id": 232, "annotations": []}
{"role": "volunteer", "content": "uh research hypothesis. It's also called the alternative hypothesis.", "session_id": 7729, "sequence_id": 233, "annotations": []}
{"role": "student", "content": "Yeah, I know that too, but we call it research hypothesis and the no hypothesis.", "session_id": 7729, "sequence_id": 234, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 7729, "sequence_id": 235, "annotations": []}
{"role": "volunteer", "content": "Now we, now what we need is what's called the null hypothesis.", "session_id": 7729, "sequence_id": 236, "annotations": []}
{"role": "student", "content": "like the opposite of the research hypothesis.", "session_id": 7729, "sequence_id": 237, "annotations": []}
{"role": "volunteer", "content": "Exactly right", "session_id": 7729, "sequence_id": 238, "annotations": []}
{"role": "volunteer", "content": "But we call it", "session_id": 7729, "sequence_id": 239, "annotations": []}
{"role": "volunteer", "content": "H0", "session_id": 7729, "sequence_id": 240, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 7729, "sequence_id": 241, "annotations": []}
{"role": "volunteer", "content": "and uh", "session_id": 7729, "sequence_id": 242, "annotations": []}
{"role": "volunteer", "content": "no, so the, that's called the null hypothesis, always has to have an equal sign.", "session_id": 7729, "sequence_id": 243, "annotations": []}
{"role": "volunteer", "content": "So it's gonna be", "session_id": 7729, "sequence_id": 244, "annotations": []}
{"role": "volunteer", "content": "mutual", "session_id": 7729, "sequence_id": 245, "annotations": []}
{"role": "volunteer", "content": "no", "session_id": 7729, "sequence_id": 246, "annotations": []}
{"role": "student", "content": "We don't, we don't do that, sir. Sorry. We don't put an equal equal sign or anything. Like we don't even use the smaller dens sign. We don't use all of that.", "session_id": 7729, "sequence_id": 247, "annotations": []}
{"role": "volunteer", "content": "Uh, that's for H1, smaller than, you see what I wrote for H sub 1.", "session_id": 7729, "sequence_id": 248, "annotations": []}
{"role": "student", "content": "Yeah, we don't, we didn't use that.", "session_id": 7729, "sequence_id": 249, "annotations": []}
{"role": "student", "content": "when we were starting this chapter.", "session_id": 7729, "sequence_id": 250, "annotations": []}
{"role": "volunteer", "content": "You didn't use that one.", "session_id": 7729, "sequence_id": 251, "annotations": []}
{"role": "student", "content": "We just startedly stated, we just directly stated the research and the no hypothesis from the two populations being compared.", "session_id": 7729, "sequence_id": 252, "annotations": []}
{"role": "volunteer", "content": "So maybe you wrote it like this.", "session_id": 7729, "sequence_id": 253, "annotations": []}
{"role": "volunteer", "content": "In fact, I'm gonna write the number, the number is 82. That's, that's the um", "session_id": 7729, "sequence_id": 254, "annotations": []}
{"role": "volunteer", "content": "I'm gonna write it like this, 82.", "session_id": 7729, "sequence_id": 255, "annotations": []}
{"role": "volunteer", "content": "So is that OK", "session_id": 7729, "sequence_id": 256, "annotations": []}
{"role": "student", "content": "Yeah, like, like we actually stated the no and the research hypothesis. Instead of using less than or equal to or greater than or equal to based on the population mean. We didn't, we actually roast like stated it in words like people.", "session_id": 7729, "sequence_id": 257, "annotations": []}
{"role": "student", "content": "who", "session_id": 7729, "sequence_id": 258, "annotations": []}
{"role": "volunteer", "content": "Oh, in work, OK. Well, we can do that. We can do that. I can write it in words.", "session_id": 7729, "sequence_id": 259, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 7729, "sequence_id": 260, "annotations": []}
{"role": "student", "content": "like people who are who are not tired, will", "session_id": 7729, "sequence_id": 261, "annotations": []}
{"role": "student", "content": "you know.", "session_id": 7729, "sequence_id": 262, "annotations": []}
{"role": "volunteer", "content": "Yeah, we can do that. Let me, let me write it. OK, I'll write it here, then I'll move it. So H", "session_id": 7729, "sequence_id": 263, "annotations": []}
{"role": "volunteer", "content": "H 0 and then H sub 1 we can say.", "session_id": 7729, "sequence_id": 264, "annotations": []}
{"role": "student", "content": "No, I want, I want you to do the H sub 1 first because that's how we do it. I don't want you to flip around because then I'll get confused in my head.", "session_id": 7729, "sequence_id": 265, "annotations": []}
{"role": "volunteer", "content": "OK, so", "session_id": 7729, "sequence_id": 266, "annotations": []}
{"role": "volunteer", "content": "the", "session_id": 7729, "sequence_id": 267, "annotations": []}
{"role": "student", "content": "I want to start with the research hypothesis.", "session_id": 7729, "sequence_id": 268, "annotations": []}
{"role": "volunteer", "content": "yeah, OK. So the mean of the tired", "session_id": 7729, "sequence_id": 269, "annotations": []}
{"role": "volunteer", "content": "pop.", "session_id": 7729, "sequence_id": 270, "annotations": []}
{"role": "volunteer", "content": "population is less than 82.", "session_id": 7729, "sequence_id": 271, "annotations": []}
{"role": "volunteer", "content": "So that would be our research hypothesis.", "session_id": 7729, "sequence_id": 272, "annotations": []}
{"role": "volunteer", "content": "Is that OK", "session_id": 7729, "sequence_id": 273, "annotations": []}
{"role": "volunteer", "content": "So we wrote it in word now.", "session_id": 7729, "sequence_id": 274, "annotations": []}
{"role": "student", "content": "No, like you to add it from the like, I don't know how to describe it, but we like, we were people who are not tired or something, something. We were based on the population. That's how I write it", "session_id": 7729, "sequence_id": 275, "annotations": []}
{"role": "student", "content": "so", "session_id": 7729, "sequence_id": 276, "annotations": []}
{"role": "student", "content": "people who were not.", "session_id": 7729, "sequence_id": 277, "annotations": []}
{"role": "volunteer", "content": "OK, well, tell, tell me how you want to write it.", "session_id": 7729, "sequence_id": 278, "annotations": []}
{"role": "volunteer", "content": "or I can put it this way, the", "session_id": 7729, "sequence_id": 279, "annotations": []}
{"role": "volunteer", "content": "the, the tired population.", "session_id": 7729, "sequence_id": 280, "annotations": []}
{"role": "volunteer", "content": "has", "session_id": 7729, "sequence_id": 281, "annotations": []}
{"role": "volunteer", "content": "um", "session_id": 7729, "sequence_id": 282, "annotations": []}
{"role": "volunteer", "content": "mean", "session_id": 7729, "sequence_id": 283, "annotations": []}
{"role": "volunteer", "content": "less than 82.", "session_id": 7729, "sequence_id": 284, "annotations": []}
{"role": "volunteer", "content": "and 82 is the mean of the first population.", "session_id": 7729, "sequence_id": 285, "annotations": []}
{"role": "volunteer", "content": "Is that, is that better", "session_id": 7729, "sequence_id": 286, "annotations": []}
{"role": "student", "content": "So I put it like people who are not tired are able to identify emotions correctly, then people, um, and then the more hypothesis would be that people who are extremely tired, will not be able to identify the emotions corre um correctly.", "session_id": 7729, "sequence_id": 287, "annotations": []}
{"role": "volunteer", "content": "Yeah, you can, you can do that. It's saying the same thing. You're just using words to say the same thing.", "session_id": 7729, "sequence_id": 288, "annotations": []}
{"role": "student", "content": "Oh", "session_id": 7729, "sequence_id": 289, "annotations": []}
{"role": "student", "content": "because I've didn't write it the way you wrote it, so.", "session_id": 7729, "sequence_id": 290, "annotations": []}
{"role": "volunteer", "content": "OK.", "session_id": 7729, "sequence_id": 291, "annotations": []}
{"role": "student", "content": "Like that would be, this is my first step", "session_id": 7729, "sequence_id": 292, "annotations": []}
{"role": "student", "content": "In the hypothesis testing.", "session_id": 7729, "sequence_id": 293, "annotations": []}
{"role": "volunteer", "content": "Yes", "session_id": 7729, "sequence_id": 294, "annotations": []}
{"role": "student", "content": "I'll let you know, um, uh, once I write those two hypothesis, how I've written out.", "session_id": 7729, "sequence_id": 295, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 7729, "sequence_id": 296, "annotations": []}
{"role": "student", "content": "So I wrote for the research hypothesis, which is 8 of 1. I want people who are extremely tired, will not be able to identify emotions correctly. And then for the no hypothesis, I wrote people who are extremely tired, will be able to identify emotions correctly.", "session_id": 7729, "sequence_id": 297, "annotations": []}
{"role": "volunteer", "content": "OK, yeah, sure. You can say it that way. That works.", "session_id": 7729, "sequence_id": 298, "annotations": []}
{"role": "student", "content": "And then step 2 is id is determining the characteristics of the um comparison distribution.", "session_id": 7729, "sequence_id": 299, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 7729, "sequence_id": 300, "annotations": []}
{"role": "student", "content": "So that's, that's where we had to write all of our numbers down, right? Like the population mean", "session_id": 7729, "sequence_id": 301, "annotations": []}
{"role": "student", "content": "the standard deviation", "session_id": 7729, "sequence_id": 302, "annotations": []}
{"role": "volunteer", "content": "Right", "session_id": 7729, "sequence_id": 303, "annotations": []}
{"role": "student", "content": "the, and the sampomine which is 78.", "session_id": 7729, "sequence_id": 304, "annotations": []}
{"role": "volunteer", "content": "Where'd you see 38?", "session_id": 7729, "sequence_id": 305, "annotations": []}
{"role": "student", "content": "No, I said 78, sorry.", "session_id": 7729, "sequence_id": 306, "annotations": []}
{"role": "volunteer", "content": "OK, yeah, 78 is the sample mean. 50 is the sample size.", "session_id": 7729, "sequence_id": 307, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 7729, "sequence_id": 308, "annotations": []}
{"role": "volunteer", "content": "So we can write that. So the distribution, here's the distribution of group 2.", "session_id": 7729, "sequence_id": 309, "annotations": []}
{"role": "volunteer", "content": "correct.", "session_id": 7729, "sequence_id": 310, "annotations": []}
{"role": "student", "content": "So I just write those numbers like the characteristics for it.", "session_id": 7729, "sequence_id": 311, "annotations": []}
{"role": "volunteer", "content": "Mhm", "session_id": 7729, "sequence_id": 312, "annotations": []}
{"role": "student", "content": "That's nice", "session_id": 7729, "sequence_id": 313, "annotations": []}
{"role": "student", "content": "OK, I got them all down. This, the, the population mean is 82. The standard deviation is 20. The sample size is 50, and the same and the BM is 78.", "session_id": 7729, "sequence_id": 314, "annotations": []}
{"role": "volunteer", "content": "The big M", "session_id": 7729, "sequence_id": 315, "annotations": []}
{"role": "student", "content": "Yeah, like the, it's called the samplemi.", "session_id": 7729, "sequence_id": 316, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 7729, "sequence_id": 317, "annotations": []}
{"role": "volunteer", "content": "the sample mean, OK, all right. Maybe one thing.", "session_id": 7729, "sequence_id": 318, "annotations": []}
{"role": "student", "content": "I began.", "session_id": 7729, "sequence_id": 319, "annotations": []}
{"role": "volunteer", "content": "something you could calculate because we're gonna need it is this right now we only have the variants, which is 20.", "session_id": 7729, "sequence_id": 320, "annotations": []}
{"role": "volunteer", "content": "Maybe we can calculate", "session_id": 7729, "sequence_id": 321, "annotations": []}
{"role": "volunteer", "content": "the standard deviation.", "session_id": 7729, "sequence_id": 322, "annotations": []}
{"role": "volunteer", "content": "Can you take", "session_id": 7729, "sequence_id": 323, "annotations": []}
{"role": "student", "content": "Oh, I thought that standard deviation was 20.", "session_id": 7729, "sequence_id": 324, "annotations": []}
{"role": "volunteer", "content": "No, it says it's the variants. If you read the the problem.", "session_id": 7729, "sequence_id": 325, "annotations": []}
{"role": "student", "content": "Yeah.", "session_id": 7729, "sequence_id": 326, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 7729, "sequence_id": 327, "annotations": []}
{"role": "volunteer", "content": "so to get the standard deviation, we have to take.", "session_id": 7729, "sequence_id": 328, "annotations": []}
{"role": "student", "content": "Oh, we are too. I know we are, I know what we have to do. We have to divide 2 by the square root of 50.", "session_id": 7729, "sequence_id": 329, "annotations": []}
{"role": "volunteer", "content": "Uh, it wouldn't be 20, it would be, well, first of all, let's calculate the standard deviation first, which is square root of", "session_id": 7729, "sequence_id": 330, "annotations": []}
{"role": "volunteer", "content": "20", "session_id": 7729, "sequence_id": 331, "annotations": []}
{"role": "volunteer", "content": "and that is", "session_id": 7729, "sequence_id": 332, "annotations": []}
{"role": "volunteer", "content": "for", "session_id": 7729, "sequence_id": 333, "annotations": []}
{"role": "student", "content": "First, let's go to figure out, um, figure out the critical value in step 3.", "session_id": 7729, "sequence_id": 334, "annotations": []}
{"role": "student", "content": "cause that comes in step 4.", "session_id": 7729, "sequence_id": 335, "annotations": []}
{"role": "volunteer", "content": "oh OK", "session_id": 7729, "sequence_id": 336, "annotations": []}
{"role": "student", "content": "Step 3 is like you have to determine the cutoff score at which the no hypothesis should be rejected.", "session_id": 7729, "sequence_id": 337, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 7729, "sequence_id": 338, "annotations": []}
{"role": "volunteer", "content": "All right", "session_id": 7729, "sequence_id": 339, "annotations": []}
{"role": "volunteer", "content": "So to do that", "session_id": 7729, "sequence_id": 340, "annotations": []}
{"role": "student", "content": "point musically P um is less than 0.05. So,", "session_id": 7729, "sequence_id": 341, "annotations": []}
{"role": "student", "content": "I'm doing it", "session_id": 7729, "sequence_id": 342, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 7729, "sequence_id": 343, "annotations": []}
{"role": "student", "content": "So this is a directional hypothesis, right? The research hypothesis is directional, right?", "session_id": 7729, "sequence_id": 344, "annotations": []}
{"role": "volunteer", "content": "Yes, we, we set it up in a directional or also called one-sided test.", "session_id": 7729, "sequence_id": 345, "annotations": []}
{"role": "student", "content": "Yeah, one tilt test. So it would be um plus 1.64, right?", "session_id": 7729, "sequence_id": 346, "annotations": []}
{"role": "student", "content": "That's the critical value, right?", "session_id": 7729, "sequence_id": 347, "annotations": []}
{"role": "volunteer", "content": "OK, let me check", "session_id": 7729, "sequence_id": 348, "annotations": []}
{"role": "student", "content": "Like positive 1.64.", "session_id": 7729, "sequence_id": 349, "annotations": []}
{"role": "student", "content": "right?", "session_id": 7729, "sequence_id": 350, "annotations": []}
{"role": "student", "content": "Cause it's 0.05, so", "session_id": 7729, "sequence_id": 351, "annotations": []}
{"role": "volunteer", "content": "OK. 05.", "session_id": 7729, "sequence_id": 352, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 7729, "sequence_id": 353, "annotations": []}
{"role": "volunteer", "content": "Let's see. Is it uh", "session_id": 7729, "sequence_id": 354, "annotations": []}
{"role": "volunteer", "content": "is it, uh, yeah, 0.05. I'm gonna get, I'm getting my calculator.", "session_id": 7729, "sequence_id": 355, "annotations": []}
{"role": "student", "content": "Oh, I just go with um", "session_id": 7729, "sequence_id": 356, "annotations": []}
{"role": "student", "content": "oh, I, we just go with 1.64.", "session_id": 7729, "sequence_id": 357, "annotations": []}
{"role": "volunteer", "content": "OK. So, but it has to be negative.", "session_id": 7729, "sequence_id": 358, "annotations": []}
{"role": "student", "content": "Oh, OK.", "session_id": 7729, "sequence_id": 359, "annotations": []}
{"role": "volunteer", "content": "I'm, I'm gonna show you on the board", "session_id": 7729, "sequence_id": 360, "annotations": []}
{"role": "volunteer", "content": "I'm gonna draw the um", "session_id": 7729, "sequence_id": 361, "annotations": []}
{"role": "volunteer", "content": "you have to draw the distribution at some point.", "session_id": 7729, "sequence_id": 362, "annotations": []}
{"role": "student", "content": "Yeah, yeah. I, I already drew it on. I'm on step 3 and I already drew it.", "session_id": 7729, "sequence_id": 363, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 7729, "sequence_id": 364, "annotations": []}
{"role": "student", "content": "I'm writing this stuff on paper.", "session_id": 7729, "sequence_id": 365, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 7729, "sequence_id": 366, "annotations": []}
{"role": "student", "content": "And now we can go on to step 4. Are you ready?", "session_id": 7729, "sequence_id": 367, "annotations": []}
{"role": "volunteer", "content": "Yes", "session_id": 7729, "sequence_id": 368, "annotations": []}
{"role": "student", "content": "So this is where we had to like calculate the disease score and stuff.", "session_id": 7729, "sequence_id": 369, "annotations": []}
{"role": "volunteer", "content": "Yes", "session_id": 7729, "sequence_id": 370, "annotations": []}
{"role": "student", "content": "like the formula that we use stained glass, it was Z equals X minus the population need. Let me, let me go back to the.", "session_id": 7729, "sequence_id": 371, "annotations": []}
{"role": "student", "content": "It was, um, no, yeah, I think it was Z equals x minus the population mean divided by the standard deviation of the means.", "session_id": 7729, "sequence_id": 372, "annotations": []}
{"role": "volunteer", "content": "OK, but we haven't calculated the standard deviation of the mean, yet we have started it, but we haven't finished.", "session_id": 7729, "sequence_id": 373, "annotations": []}
{"role": "student", "content": "Oh, we are in square root the 20 yet.", "session_id": 7729, "sequence_id": 374, "annotations": []}
{"role": "volunteer", "content": "That's right. So the standard deviation of the population is 4.47, but the standard deviation of the sample meme", "session_id": 7729, "sequence_id": 375, "annotations": []}
{"role": "volunteer", "content": "will be 4.47.", "session_id": 7729, "sequence_id": 376, "annotations": []}
{"role": "volunteer", "content": "divided by the square root of 50.", "session_id": 7729, "sequence_id": 377, "annotations": []}
{"role": "volunteer", "content": "That will be", "session_id": 7729, "sequence_id": 378, "annotations": []}
{"role": "volunteer", "content": "our standard deviation to calculate the Z score.", "session_id": 7729, "sequence_id": 379, "annotations": []}
{"role": "student", "content": "Hm.", "session_id": 7729, "sequence_id": 380, "annotations": []}
{"role": "student", "content": "I'm doing that", "session_id": 7729, "sequence_id": 381, "annotations": []}
{"role": "volunteer", "content": "OK.", "session_id": 7729, "sequence_id": 382, "annotations": []}
{"role": "student", "content": "4.44.47 divided by the square root of 50, right?", "session_id": 7729, "sequence_id": 383, "annotations": []}
{"role": "volunteer", "content": "Right", "session_id": 7729, "sequence_id": 384, "annotations": []}
{"role": "student", "content": "See, I, I get stuck on this step, step 4 and step 2 because I don't really know like, because she said there was a difference on the in step 2 and step 4 of the hypothesis testing, then what we did in the intro chapter.", "session_id": 7729, "sequence_id": 385, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 7729, "sequence_id": 386, "annotations": []}
{"role": "student", "content": "Yeah, but I, I quite don't understand the difference here I like.", "session_id": 7729, "sequence_id": 387, "annotations": []}
{"role": "student", "content": "Do you see any difference like", "session_id": 7729, "sequence_id": 388, "annotations": []}
{"role": "volunteer", "content": "Well, I'm not sure what your, your teacher said, uh, but everything you've, you've told me so far makes, makes perfect sense.", "session_id": 7729, "sequence_id": 389, "annotations": []}
{"role": "student", "content": "hm", "session_id": 7729, "sequence_id": 390, "annotations": []}
{"role": "volunteer", "content": "So now", "session_id": 7729, "sequence_id": 391, "annotations": []}
{"role": "student", "content": "I got an answer of um 0.63.", "session_id": 7729, "sequence_id": 392, "annotations": []}
{"role": "volunteer", "content": "OK, so let me calculate. So the", "session_id": 7729, "sequence_id": 393, "annotations": []}
{"role": "volunteer", "content": "um", "session_id": 7729, "sequence_id": 394, "annotations": []}
{"role": "student", "content": "The standard DV um so the sta um, so the standard deviation of the means is 0.63.", "session_id": 7729, "sequence_id": 395, "annotations": []}
{"role": "volunteer", "content": "right", "session_id": 7729, "sequence_id": 396, "annotations": []}
{"role": "volunteer", "content": "OK. I'm gonna calculate. So this is called the", "session_id": 7729, "sequence_id": 397, "annotations": []}
{"role": "volunteer", "content": "uh, this", "session_id": 7729, "sequence_id": 398, "annotations": []}
{"role": "volunteer", "content": "the test statistics.", "session_id": 7729, "sequence_id": 399, "annotations": []}
{"role": "student", "content": "I don't know what happens, but in the exams, like I get nervous somehow and I get tricked up like I feel like it's trickier.", "session_id": 7729, "sequence_id": 400, "annotations": []}
{"role": "volunteer", "content": "Mhm", "session_id": 7729, "sequence_id": 401, "annotations": []}
{"role": "student", "content": "because with if she allows corrections, but um it's not like", "session_id": 7729, "sequence_id": 402, "annotations": []}
{"role": "student", "content": "I don't know. I, I get stuck with this chapter for some reason, like I had problems understanding this chapters and understanding this chapter because we had to like learn it quickly, kind of.", "session_id": 7729, "sequence_id": 403, "annotations": []}
{"role": "volunteer", "content": "Right", "session_id": 7729, "sequence_id": 404, "annotations": []}
{"role": "student", "content": "Yeah, she just, um, she just spent two days with it. We didn't even spend too much time, but the two problems solving questions were from this chapter, like it gave me the standard deviation and uh me or something in population, and then it", "session_id": 7729, "sequence_id": 405, "annotations": []}
{"role": "student", "content": "yeah, and with the, and then it gave me the significance level.", "session_id": 7729, "sequence_id": 406, "annotations": []}
{"role": "student", "content": "That's it", "session_id": 7729, "sequence_id": 407, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 7729, "sequence_id": 408, "annotations": []}
{"role": "student", "content": "And then um maybe the um, the big game, the sample me. I don't remember exactly what was on the exam, but it was tricky.", "session_id": 7729, "sequence_id": 409, "annotations": []}
{"role": "volunteer", "content": "So tell me again what number did you get for the, uh, the Z score that for the test statistics.", "session_id": 7729, "sequence_id": 410, "annotations": []}
{"role": "student", "content": "What the standard deviation of the means?", "session_id": 7729, "sequence_id": 411, "annotations": []}
{"role": "volunteer", "content": "No, you, you, you, you calculated the Z score, just, just a minute ago. You gave me the number.", "session_id": 7729, "sequence_id": 412, "annotations": []}
{"role": "student", "content": "There was 0.63 was the standard deviation of the needs, so.", "session_id": 7729, "sequence_id": 413, "annotations": []}
{"role": "volunteer", "content": "Right", "session_id": 7729, "sequence_id": 414, "annotations": []}
{"role": "volunteer", "content": "OK, now we have to calculate the the Z score for the test statistics.", "session_id": 7729, "sequence_id": 415, "annotations": []}
{"role": "volunteer", "content": "Sure", "session_id": 7729, "sequence_id": 416, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 7729, "sequence_id": 417, "annotations": []}
{"role": "student", "content": "I calculated. I know. I, I know how to do it now. It's", "session_id": 7729, "sequence_id": 418, "annotations": []}
{"role": "student", "content": "and um the big game is also called the sample main is also like the eggs, right?", "session_id": 7729, "sequence_id": 419, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 7729, "sequence_id": 420, "annotations": []}
{"role": "student", "content": "I'm asking you, is it the sampling is like a raw score?", "session_id": 7729, "sequence_id": 421, "annotations": []}
{"role": "volunteer", "content": "No, uh, the, uh, we don't know the rascal. It's, it's similar to the Z score score, uh, but that's, that's what we're gonna be using. We're gonna be using it as a raw score and in our case it's 78.", "session_id": 7729, "sequence_id": 422, "annotations": []}
{"role": "student", "content": "OK", "session_id": 7729, "sequence_id": 423, "annotations": []}
{"role": "student", "content": "Because in my formula, I wrote like X minus the population of the means divided by the standard deviation of the meter.", "session_id": 7729, "sequence_id": 424, "annotations": []}
{"role": "volunteer", "content": "Yes, that's the general formula for the Z score. In our case, the X is similar to the 78. The mean is similar to the 82 and the standard deviation that we already calculated is it becomes our 0.63.", "session_id": 7729, "sequence_id": 425, "annotations": []}
{"role": "student", "content": "Mm", "session_id": 7729, "sequence_id": 426, "annotations": []}
{"role": "student", "content": "OK.", "session_id": 7729, "sequence_id": 427, "annotations": []}
{"role": "student", "content": "So in this case, our X would be 78, right?", "session_id": 7729, "sequence_id": 428, "annotations": []}
{"role": "volunteer", "content": "Right.", "session_id": 7729, "sequence_id": 429, "annotations": []}
{"role": "student", "content": "OK. So", "session_id": 7729, "sequence_id": 430, "annotations": []}
{"role": "student", "content": "minutes 2.", "session_id": 7729, "sequence_id": 431, "annotations": []}
{"role": "student", "content": "divided by 0.63.", "session_id": 7729, "sequence_id": 432, "annotations": []}
{"role": "student", "content": "OK", "session_id": 7729, "sequence_id": 433, "annotations": []}
{"role": "student", "content": "It you", "session_id": 7729, "sequence_id": 434, "annotations": []}
{"role": "student", "content": "I got 6.35.", "session_id": 7729, "sequence_id": 435, "annotations": []}
{"role": "student", "content": "No, 6.35.", "session_id": 7729, "sequence_id": 436, "annotations": []}
{"role": "volunteer", "content": "OK, that's fine", "session_id": 7729, "sequence_id": 437, "annotations": []}
{"role": "student", "content": "So that shows, that falls on the area of rejection, right?", "session_id": 7729, "sequence_id": 438, "annotations": []}
{"role": "volunteer", "content": "Uh, very much so. We're, we're far, far to the left of the rejection area.", "session_id": 7729, "sequence_id": 439, "annotations": []}
{"role": "student", "content": "We would reject the no hypothesis.", "session_id": 7729, "sequence_id": 440, "annotations": []}
{"role": "volunteer", "content": "It would reject the null hypothesis, and we would conclude that people who are tired are definitely they perform badly", "session_id": 7729, "sequence_id": 441, "annotations": []}
{"role": "volunteer", "content": "compared to the people who are not tired", "session_id": 7729, "sequence_id": 442, "annotations": []}
{"role": "student", "content": "Oh yes", "session_id": 7729, "sequence_id": 443, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 7729, "sequence_id": 444, "annotations": []}
{"role": "student", "content": "I mean, I, I think I wanna do one more problem.", "session_id": 7729, "sequence_id": 445, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 7729, "sequence_id": 446, "annotations": []}
{"role": "student", "content": "Because step 5 is just deciding whether to reject the no hypothesis because with hypothesis testing, um, all I understand is that we're always working to reject the Nohapais.", "session_id": 7729, "sequence_id": 447, "annotations": []}
{"role": "volunteer", "content": "That's right", "session_id": 7729, "sequence_id": 448, "annotations": []}
{"role": "volunteer", "content": "Well, reject or accept", "session_id": 7729, "sequence_id": 449, "annotations": []}
{"role": "volunteer", "content": "um", "session_id": 7729, "sequence_id": 450, "annotations": []}
{"role": "volunteer", "content": "or I would say reject or not reject. That's the way they say it.", "session_id": 7729, "sequence_id": 451, "annotations": []}
{"role": "student", "content": "Mm.", "session_id": 7729, "sequence_id": 452, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 7729, "sequence_id": 453, "annotations": []}
{"role": "student", "content": "Yeah, I would like to do one more problem, just to understand again, step 2 and step 4 of the hypothesis testing with the samples of the knee because like", "session_id": 7729, "sequence_id": 454, "annotations": []}
{"role": "volunteer", "content": "I'm just", "session_id": 7729, "sequence_id": 455, "annotations": []}
{"role": "student", "content": "because um when I was doing the intro chapter, um, we had to use the same steps, but in step 2 and step 4, we had all the information we just had to compute this echo like um we were in chapter 4 in chapter 4, for instance, within divide the, um, we, we didn't like square root the variants.", "session_id": 7729, "sequence_id": 456, "annotations": []}
{"role": "student", "content": "to figure out um", "session_id": 7729, "sequence_id": 457, "annotations": []}
{"role": "student", "content": "the um", "session_id": 7729, "sequence_id": 458, "annotations": []}
{"role": "student", "content": "like", "session_id": 7729, "sequence_id": 459, "annotations": []}
{"role": "student", "content": "you know how we square rooted the train in this problem.", "session_id": 7729, "sequence_id": 460, "annotations": []}
{"role": "volunteer", "content": "that we had to because the problem gave us the variance. The problem did not give us the standard deviation. It only gave us the variance, so we, we had to calculate the standard deviation of cells.", "session_id": 7729, "sequence_id": 461, "annotations": []}
{"role": "student", "content": "Yeah, but in chap", "session_id": 7729, "sequence_id": 462, "annotations": []}
{"role": "student", "content": "ter 4, it was all like all of the information was given to us, like,", "session_id": 7729, "sequence_id": 463, "annotations": []}
{"role": "volunteer", "content": "I see", "session_id": 7729, "sequence_id": 464, "annotations": []}
{"role": "student", "content": "Yeah, this is step 2 and step 4 kind of more tricky for me, but I don't know.", "session_id": 7729, "sequence_id": 465, "annotations": []}
{"role": "student", "content": "I.", "session_id": 7729, "sequence_id": 466, "annotations": []}
{"role": "student", "content": "And the standard deviation, it's also called the standard error, right?", "session_id": 7729, "sequence_id": 467, "annotations": []}
{"role": "volunteer", "content": "Um", "session_id": 7729, "sequence_id": 468, "annotations": []}
{"role": "volunteer", "content": "I", "session_id": 7729, "sequence_id": 469, "annotations": []}
{"role": "volunteer", "content": "I", "session_id": 7729, "sequence_id": 470, "annotations": []}
{"role": "student", "content": "which this chapter talks about, but we haven't like she didn't put anything about it on the test. I just studied it in case, like, we didn't talk about it in class, but I'm just asking you in general. It's also called the standard deviation, right?", "session_id": 7729, "sequence_id": 471, "annotations": []}
{"role": "volunteer", "content": "OK, there's, there's a difference. If you have a population", "session_id": 7729, "sequence_id": 472, "annotations": []}
{"role": "volunteer", "content": "and the population has a standard deviation.", "session_id": 7729, "sequence_id": 473, "annotations": []}
{"role": "volunteer", "content": "then the standard error will be the standard deviation of the sample means. So to, to get, to get the standard error, you take the standard deviation and you divide by the square root of n. That is your standard error.", "session_id": 7729, "sequence_id": 474, "annotations": []}
{"role": "student", "content": "So in this problem, we figured out the standard error.", "session_id": 7729, "sequence_id": 475, "annotations": []}
{"role": "volunteer", "content": "Yes, we calculated the standard error, which is 0.63 I think is what we got.", "session_id": 7729, "sequence_id": 476, "annotations": []}
{"role": "student", "content": "No, that was the standard deviation of the means.", "session_id": 7729, "sequence_id": 477, "annotations": []}
{"role": "student", "content": "Yes", "session_id": 7729, "sequence_id": 478, "annotations": []}
{"role": "student", "content": "I understand", "session_id": 7729, "sequence_id": 479, "annotations": []}
{"role": "volunteer", "content": "That's, that's the standard error. We, if you look at our calculation, we started with the variants that was 20. If you take the square root of 20, that's 4.47. That is standard deviation.", "session_id": 7729, "sequence_id": 480, "annotations": []}
{"role": "student", "content": "Yes, I got, uh, I got that part.", "session_id": 7729, "sequence_id": 481, "annotations": []}
{"role": "volunteer", "content": "of the population, but not the standard deviation of the meat. The 4.47 is the standard deviation of the population, then.", "session_id": 7729, "sequence_id": 482, "annotations": []}
{"role": "volunteer", "content": "then we take that and we divide by the square root of n, that is the standard error of the sample meat.", "session_id": 7729, "sequence_id": 483, "annotations": []}
{"role": "student", "content": "Mm.", "session_id": 7729, "sequence_id": 484, "annotations": []}
{"role": "student", "content": "I put it as standard deviation of the means.", "session_id": 7729, "sequence_id": 485, "annotations": []}
{"role": "volunteer", "content": "or you can call it that too. If you say standard deviation of the mean, the sample mean, that is.", "session_id": 7729, "sequence_id": 486, "annotations": []}
{"role": "student", "content": "Like I will, like what I wrote like SDM equals 0.0.63.", "session_id": 7729, "sequence_id": 487, "annotations": []}
{"role": "volunteer", "content": "OK, yeah, you can write it like that.", "session_id": 7729, "sequence_id": 488, "annotations": []}
{"role": "student", "content": "OK. OK, I'm, I'm gonna put one more problem, just for more practice.", "session_id": 7729, "sequence_id": 489, "annotations": []}
{"role": "volunteer", "content": "OK, we'll do one more problem.", "session_id": 7729, "sequence_id": 490, "annotations": []}
{"role": "student", "content": "Meal time, right?", "session_id": 7729, "sequence_id": 491, "annotations": []}
{"role": "volunteer", "content": "Yeah, I have time. I just have to step away for 2 minutes and I'm coming right back, but you can put the problem on the board or type it for me.", "session_id": 7729, "sequence_id": 492, "annotations": []}
{"role": "student", "content": "Oh, State College professor or something, or are you just doing this for like", "session_id": 7729, "sequence_id": 493, "annotations": [{"pii_type": "SCHOOL", "surrogate": "State College", "start": 4, "end": 17}]}
{"role": "volunteer", "content": "I'm just doing this to help students.", "session_id": 7729, "sequence_id": 494, "annotations": []}
{"role": "student", "content": "oh", "session_id": 7729, "sequence_id": 495, "annotations": []}
{"role": "volunteer", "content": "Many people on Achieve are like that.", "session_id": 7729, "sequence_id": 496, "annotations": []}
{"role": "volunteer", "content": "So I'll be back in 2 minutes.", "session_id": 7729, "sequence_id": 497, "annotations": []}
{"role": "student", "content": "Yes, sir. Go ahead", "session_id": 7729, "sequence_id": 498, "annotations": []}
{"role": "student", "content": "19. A researcher is interested in whether people are able to identify emotions\ncorrectly when they are extremely tired. It is known that, using a particular method\nof measurement, the accuracy ratings of people in the general population (who are\nnot extremely tired) are normally distributed with a mean of 82 and a variance of 20.\nIn the present study, however, the researcher arranges to test 50 people who had no\nsleep the previous night. The mean accuracy for these 50 individuals was 78. Using\nthe .05 level, what should the researcher conclude? (a) Carry out a Z test using the\nfive steps of hypothesis testing. (b) Make a drawing of the distributions involved.\n(c) Explain your answer to someone who knows about hypothesis testing with a\nsample of a single individual but who knows nothing about hypothesis testing with\na sample of more than one individual. (d) 4: Figure the 95%\nconfidence interval and explain your answer to someone who is familiar with the\ngeneral logic of hypothesis testing, the normal curve, Z scores, probability, and the\nidea of a distribution of means, but who has not heard of confidence intervals.", "session_id": 7729, "sequence_id": 499, "annotations": []}
{"role": "student", "content": "Mm", "session_id": 7729, "sequence_id": 500, "annotations": []}
{"role": "volunteer", "content": "OK, I'm back", "session_id": 7729, "sequence_id": 501, "annotations": []}
{"role": "student", "content": "Yes, sir. I'm back to.", "session_id": 7729, "sequence_id": 502, "annotations": []}
{"role": "student", "content": "Can you read the problem", "session_id": 7729, "sequence_id": 503, "annotations": []}
{"role": "volunteer", "content": "OK. Did you type the problem? Let's see. Where is it?", "session_id": 7729, "sequence_id": 504, "annotations": []}
{"role": "volunteer", "content": "OK, there it is. Uh", "session_id": 7729, "sequence_id": 505, "annotations": []}
{"role": "volunteer", "content": "All right", "session_id": 7729, "sequence_id": 506, "annotations": []}
{"role": "volunteer", "content": "But that's, that's the same problem, isn't it?", "session_id": 7729, "sequence_id": 507, "annotations": []}
{"role": "volunteer", "content": "Yeah", "session_id": 7729, "sequence_id": 508, "annotations": []}
{"role": "student", "content": "No, I said a psychologist is interested in the it's number 20. A psychologist is interested in the conditions after that affect the number of dreams per month that people report in which they are alone. We were doing a problem number 19 was about um.", "session_id": 7729, "sequence_id": 509, "annotations": []}
{"role": "volunteer", "content": "OK, I see, I see problem 20 now. OK.", "session_id": 7729, "sequence_id": 510, "annotations": []}
{"role": "volunteer", "content": "OK, I, I'm reading it.", "session_id": 7729, "sequence_id": 511, "annotations": []}
{"role": "volunteer", "content": "All right. Arranges to test with.", "session_id": 7729, "sequence_id": 512, "annotations": []}
{"role": "student", "content": "yeah, the two populations first.", "session_id": 7729, "sequence_id": 513, "annotations": []}
{"role": "volunteer", "content": "OK, so 50 people who had no sleep the previous night.", "session_id": 7729, "sequence_id": 514, "annotations": []}
{"role": "volunteer", "content": "The mean accuracy", "session_id": 7729, "sequence_id": 515, "annotations": []}
{"role": "volunteer", "content": "for these 50 individuals who were 78 using the 0.05 level.", "session_id": 7729, "sequence_id": 516, "annotations": []}
{"role": "student", "content": "No, no, no. This, uh, the problem that I have, let me post it again.", "session_id": 7729, "sequence_id": 517, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 7729, "sequence_id": 518, "annotations": []}
{"role": "student", "content": "19. A researcher is interested in whether people are able to identify emotions\ncorrectly when they are extremely tired. It is known that, using a particular method\nof measurement, the accuracy ratings of people in the general population (who are\nnot extremely tired) are normally distributed with a mean of 82 and a variance of 20.\nIn the present study, however, the researcher arranges to test 50 people who had no\nsleep the previous night. The mean accuracy for these 50 individuals was 78. Using\nthe .05 level, what should the researcher conclude? (a) Carry out a Z test using the\nfive steps of hypothesis testing. (b) Make a drawing of the distributions involved.\n(c) Explain your answer to someone who knows about hypothesis testing with a\nsample of a single individual but who knows nothing about hypothesis testing with\na sample of more than one individual. (d) 4: Figure the 95%\nconfidence interval and explain your answer to someone who is familiar with the\ngeneral logic of hypothesis testing, the normal curve, Z scores, probability, and the\nidea of a distribution of means, but who has not heard of confidence intervals.", "session_id": 7729, "sequence_id": 519, "annotations": []}
{"role": "student", "content": "Oh, it's the same problem. Never mind. Let me try it again. I'm trying to put a different problem and it comes up as the same thief.", "session_id": 7729, "sequence_id": 520, "annotations": []}
{"role": "student", "content": "Sorry", "session_id": 7729, "sequence_id": 521, "annotations": []}
{"role": "student", "content": "19. A researcher is interested in whether people are able to identify emotions\ncorrectly when they are extremely tired. It is known that, using a particular method\nof measurement, the accuracy ratings of people in the general population (who are\nnot extremely tired) are normally distributed with a mean of 82 and a variance of 20.\nIn the present study, however, the researcher arranges to test 50 people who had no\nsleep the previous night. The mean accuracy for these 50 individuals was 78. Using\nthe .05 level, what should the researcher conclude? (a) Carry out a Z test using the\nfive steps of hypothesis testing. (b) Make a drawing of the distributions involved.\n(c) Explain your answer to someone who knows about hypothesis testing with a\nsample of a single individual but who knows nothing about hypothesis testing with\na sample of more than one individual. (d) Part D: Figure the 95%\nconfidence interval and explain your answer to someone who is familiar with the\ngeneral logic of hypothesis testing, the normal curve, Z scores, probability, and the\nidea of a distribution of means, but who has not heard of confidence intervals.", "session_id": 7729, "sequence_id": 522, "annotations": []}
{"role": "student", "content": "Oh my God. No, do you want me to read the problem since it's not allowing me to pace the next problem?", "session_id": 7729, "sequence_id": 523, "annotations": []}
{"role": "volunteer", "content": "You cannot paste it in, in the chat.", "session_id": 7729, "sequence_id": 524, "annotations": []}
{"role": "student", "content": "No, it's not like it, it keeps pasting number 19, the one we just did. It doesn't like change.", "session_id": 7729, "sequence_id": 525, "annotations": []}
{"role": "volunteer", "content": "Oh, I'll make sure you maybe try copying Problem 21st. Make sure it's copied", "session_id": 7729, "sequence_id": 526, "annotations": []}
{"role": "volunteer", "content": "and then try pasting one last time.", "session_id": 7729, "sequence_id": 527, "annotations": []}
{"role": "student", "content": "No, it's not working. It's still no problem number 19.", "session_id": 7729, "sequence_id": 528, "annotations": []}
{"role": "volunteer", "content": "I see. OK, well, read, read the problem to me.", "session_id": 7729, "sequence_id": 529, "annotations": []}
{"role": "student", "content": "OK. The problem says a psychologist is interested in the conditions that affect the number of dreams per month that people report in which they are alone. We will assume that based on extensive previous research, it is known that in the general population, the number of such dreams per month follows a normal curve with a mu of equals to 5 and uh variance of 4.", "session_id": 7729, "sequence_id": 530, "annotations": []}
{"role": "student", "content": "The researcher wants to test the prediction that the number of such dreams will be greater among people who have recently experienced a traumatic event.", "session_id": 7729, "sequence_id": 531, "annotations": []}
{"role": "student", "content": "Thus this psychologist studies 36 individuals who have recently experienced a traumatic event, having them having them keep a record of their dreams for a month. The mean number of long dreams is 88. Should you conclude that people who have recently had a traumatic experience, have a significantly different number of drinks in which they are alone. And A is to", "session_id": 7729, "sequence_id": 532, "annotations": []}
{"role": "student", "content": "carry out a Z test using the 5 steps of hypothesis testing, use the um 0.05 level. Make sure and B is to make the um um draw the distribution and then see is explaining the answer to someone who had never had statistics, and then there's the 95% confident interval.", "session_id": 7729, "sequence_id": 533, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 7729, "sequence_id": 534, "annotations": []}
{"role": "volunteer", "content": "All right. Well, let's start with, with our, with our data. So the in the general population", "session_id": 7729, "sequence_id": 535, "annotations": []}
{"role": "volunteer", "content": "Yes", "session_id": 7729, "sequence_id": 536, "annotations": []}
{"role": "student", "content": "So first I just figure out the two populations, like the population in general and um", "session_id": 7729, "sequence_id": 537, "annotations": []}
{"role": "student", "content": "population one is population in general.", "session_id": 7729, "sequence_id": 538, "annotations": []}
{"role": "student", "content": "general population.", "session_id": 7729, "sequence_id": 539, "annotations": []}
{"role": "student", "content": "and population 2 would be", "session_id": 7729, "sequence_id": 540, "annotations": []}
{"role": "student", "content": "Do you want me to read the problem again?", "session_id": 7729, "sequence_id": 541, "annotations": []}
{"role": "volunteer", "content": "No, no. The second population would be the people who have", "session_id": 7729, "sequence_id": 542, "annotations": []}
{"role": "volunteer", "content": "had a traumatic experience.", "session_id": 7729, "sequence_id": 543, "annotations": []}
{"role": "student", "content": "I have.", "session_id": 7729, "sequence_id": 544, "annotations": []}
{"role": "student", "content": "traumatic.", "session_id": 7729, "sequence_id": 545, "annotations": []}
{"role": "student", "content": "OK", "session_id": 7729, "sequence_id": 546, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 7729, "sequence_id": 547, "annotations": []}
{"role": "student", "content": "And then I'm gonna state my research and the know hypothesis now. I first step.", "session_id": 7729, "sequence_id": 548, "annotations": []}
{"role": "student", "content": "Mm.", "session_id": 7729, "sequence_id": 549, "annotations": []}
{"role": "student", "content": "So people who have", "session_id": 7729, "sequence_id": 550, "annotations": []}
{"role": "student", "content": "so it will be like people who have traumatic experienced um to um people who have traumatic experience will have, will have, um, will affect the conditions of their dream when they are alone, then um then the population in general.", "session_id": 7729, "sequence_id": 551, "annotations": []}
{"role": "volunteer", "content": "Well, it, it's more specific than that. The what the psychologist wants to research is if people who have had", "session_id": 7729, "sequence_id": 552, "annotations": []}
{"role": "volunteer", "content": "a traumatic experience will have", "session_id": 7729, "sequence_id": 553, "annotations": []}
{"role": "volunteer", "content": "more than 5 dreams.", "session_id": 7729, "sequence_id": 554, "annotations": []}
{"role": "volunteer", "content": "per night.", "session_id": 7729, "sequence_id": 555, "annotations": []}
{"role": "volunteer", "content": "because the general population has 5 dreams every night.", "session_id": 7729, "sequence_id": 556, "annotations": []}
{"role": "volunteer", "content": "on average. So", "session_id": 7729, "sequence_id": 557, "annotations": []}
{"role": "volunteer", "content": "the research hypothesis is will people have had a traumatic experience, have more than that.", "session_id": 7729, "sequence_id": 558, "annotations": []}
{"role": "student", "content": "So it will be like people who have traumatic experiences will have more dreams than people in general.", "session_id": 7729, "sequence_id": 559, "annotations": []}
{"role": "volunteer", "content": "Correct", "session_id": 7729, "sequence_id": 560, "annotations": []}
{"role": "volunteer", "content": "So it's still going to be a directional", "session_id": 7729, "sequence_id": 561, "annotations": []}
{"role": "volunteer", "content": "a directional", "session_id": 7729, "sequence_id": 562, "annotations": []}
{"role": "student", "content": "Yeah. Yeah.", "session_id": 7729, "sequence_id": 563, "annotations": []}
{"role": "volunteer", "content": "because I think that's what you said. It's going to be a directional test.", "session_id": 7729, "sequence_id": 564, "annotations": []}
{"role": "student", "content": "So I put like people who have traumatic experiences will have more more dreams will have", "session_id": 7729, "sequence_id": 565, "annotations": []}
{"role": "student", "content": "more dreams when alone, then people in general.", "session_id": 7729, "sequence_id": 566, "annotations": []}
{"role": "volunteer", "content": "Right, exactly", "session_id": 7729, "sequence_id": 567, "annotations": []}
{"role": "student", "content": "I'm still on that one, OK?", "session_id": 7729, "sequence_id": 568, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 7729, "sequence_id": 569, "annotations": []}
{"role": "student", "content": "Are you at home", "session_id": 7729, "sequence_id": 570, "annotations": []}
{"role": "student", "content": "Mm.", "session_id": 7729, "sequence_id": 571, "annotations": []}
{"role": "volunteer", "content": "Uh yes", "session_id": 7729, "sequence_id": 572, "annotations": []}
{"role": "student", "content": "me too", "session_id": 7729, "sequence_id": 573, "annotations": []}
{"role": "student", "content": "OK. I'm on step 2. So for the no hypothesis, I put people who have traumatic experiences will not have um", "session_id": 7729, "sequence_id": 574, "annotations": []}
{"role": "student", "content": "more dreams when they are alone, then people in general.", "session_id": 7729, "sequence_id": 575, "annotations": []}
{"role": "volunteer", "content": "Right", "session_id": 7729, "sequence_id": 576, "annotations": []}
{"role": "student", "content": "And then step to figuring out the characteristics.", "session_id": 7729, "sequence_id": 577, "annotations": []}
{"role": "student", "content": "So, the meal is 5, the variances", "session_id": 7729, "sequence_id": 578, "annotations": []}
{"role": "student", "content": "wait, let me see.", "session_id": 7729, "sequence_id": 579, "annotations": []}
{"role": "student", "content": "It's 4.", "session_id": 7729, "sequence_id": 580, "annotations": []}
{"role": "student", "content": "and it's 36.", "session_id": 7729, "sequence_id": 581, "annotations": []}
{"role": "student", "content": "And um the um the sample mean is 8.", "session_id": 7729, "sequence_id": 582, "annotations": []}
{"role": "volunteer", "content": "Right", "session_id": 7729, "sequence_id": 583, "annotations": []}
{"role": "student", "content": "which is also known as X, right?", "session_id": 7729, "sequence_id": 584, "annotations": []}
{"role": "volunteer", "content": "Yes, for our purposes, yes.", "session_id": 7729, "sequence_id": 585, "annotations": []}
{"role": "student", "content": "And then, so we had to figure out, so it would be again um 1.64, right?", "session_id": 7729, "sequence_id": 586, "annotations": []}
{"role": "student", "content": "Positive.", "session_id": 7729, "sequence_id": 587, "annotations": []}
{"role": "student", "content": "2", "session_id": 7729, "sequence_id": 588, "annotations": []}
{"role": "volunteer", "content": "No, here it's gonna be positive because we want to know if the population with the group with traumatic experiences will have more", "session_id": 7729, "sequence_id": 589, "annotations": []}
{"role": "volunteer", "content": "than", "session_id": 7729, "sequence_id": 590, "annotations": []}
{"role": "volunteer", "content": "5. So the, the direction is the opposite of last time, so it's going to be + 1.64.", "session_id": 7729, "sequence_id": 591, "annotations": []}
{"role": "student", "content": "OK", "session_id": 7729, "sequence_id": 592, "annotations": []}
{"role": "student", "content": "Just the PY", "session_id": 7729, "sequence_id": 593, "annotations": []}
{"role": "student", "content": "I.", "session_id": 7729, "sequence_id": 594, "annotations": []}
{"role": "student", "content": "Mm", "session_id": 7729, "sequence_id": 595, "annotations": []}
{"role": "student", "content": "If it was non-directional, it would be um positive and negative 1.96, right?", "session_id": 7729, "sequence_id": 596, "annotations": []}
{"role": "student", "content": "Um", "session_id": 7729, "sequence_id": 597, "annotations": []}
{"role": "volunteer", "content": "Uh, let me see", "session_id": 7729, "sequence_id": 598, "annotations": []}
{"role": "volunteer", "content": "I'll let me check", "session_id": 7729, "sequence_id": 599, "annotations": []}
{"role": "volunteer", "content": "OK.", "session_id": 7729, "sequence_id": 600, "annotations": []}
{"role": "student", "content": "Like if we were to do 2 tilt tests.", "session_id": 7729, "sequence_id": 601, "annotations": []}
{"role": "volunteer", "content": "Yes, you're correct. It would be a plus or minus.", "session_id": 7729, "sequence_id": 602, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 7729, "sequence_id": 603, "annotations": []}
{"role": "volunteer", "content": "Right.", "session_id": 7729, "sequence_id": 604, "annotations": []}
{"role": "student", "content": "And then step 4 is um like when we had to compute the Z score now. So first, I have to um square root the 4.", "session_id": 7729, "sequence_id": 605, "annotations": []}
{"role": "student", "content": "which is equals", "session_id": 7729, "sequence_id": 606, "annotations": []}
{"role": "student", "content": "to scrambled up.", "session_id": 7729, "sequence_id": 607, "annotations": []}
{"role": "student", "content": "is true. So, and then 2 divided by the square root of 36, which is the end.", "session_id": 7729, "sequence_id": 608, "annotations": []}
{"role": "student", "content": "Right", "session_id": 7729, "sequence_id": 609, "annotations": []}
{"role": "volunteer", "content": "That's right", "session_id": 7729, "sequence_id": 610, "annotations": []}
{"role": "student", "content": "It's 0.33.", "session_id": 7729, "sequence_id": 611, "annotations": []}
{"role": "student", "content": "That's the standard deviation of the means, which is like also the standard error.", "session_id": 7729, "sequence_id": 612, "annotations": []}
{"role": "volunteer", "content": "The standard error, that's correct.", "session_id": 7729, "sequence_id": 613, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 7729, "sequence_id": 614, "annotations": []}
{"role": "student", "content": "I call it the standard deviation of the means. SDM", "session_id": 7729, "sequence_id": 615, "annotations": []}
{"role": "student", "content": "OK, now we can compute the Z score. So it's um", "session_id": 7729, "sequence_id": 616, "annotations": []}
{"role": "student", "content": "8 minus", "session_id": 7729, "sequence_id": 617, "annotations": []}
{"role": "student", "content": "5 divided by 0.33.", "session_id": 7729, "sequence_id": 618, "annotations": []}
{"role": "student", "content": "3.", "session_id": 7729, "sequence_id": 619, "annotations": []}
{"role": "student", "content": "I'm getting the Z score of 9.09.", "session_id": 7729, "sequence_id": 620, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 7729, "sequence_id": 621, "annotations": []}
{"role": "student", "content": "OK", "session_id": 7729, "sequence_id": 622, "annotations": []}
{"role": "student", "content": "So we will reject the no hypothesis then?", "session_id": 7729, "sequence_id": 623, "annotations": []}
{"role": "volunteer", "content": "Definitely", "session_id": 7729, "sequence_id": 624, "annotations": []}
{"role": "student", "content": "Like it falls in the um in the share shared, shared region.", "session_id": 7729, "sequence_id": 625, "annotations": []}
{"role": "volunteer", "content": "Yes, it, it falls very far", "session_id": 7729, "sequence_id": 626, "annotations": []}
{"role": "volunteer", "content": "into the shaded regions, so definitely we reject the null hypothesis. In other words", "session_id": 7729, "sequence_id": 627, "annotations": []}
{"role": "volunteer", "content": "uh", "session_id": 7729, "sequence_id": 628, "annotations": []}
{"role": "volunteer", "content": "in other words, it, it's very reasonable that people who had a traumatic experience will have more dreams than the general population.", "session_id": 7729, "sequence_id": 629, "annotations": []}
{"role": "student", "content": "So it's very deep in the rejection region.", "session_id": 7729, "sequence_id": 630, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 7729, "sequence_id": 631, "annotations": []}
{"role": "volunteer", "content": "Oh yeah, because the rejection region starts at z equal to 1.64. We're at 9.0 something.", "session_id": 7729, "sequence_id": 632, "annotations": []}
{"role": "student", "content": "OK. So we inject the hypothesis.", "session_id": 7729, "sequence_id": 633, "annotations": []}
{"role": "student", "content": "Cause I try to understand this chapter from my classmates, but they couldn't really explain it to me like they were kind of like one lady was kind of like um she was like, sometimes the questions you ask, they don't make sense. They're really like frustrating.", "session_id": 7729, "sequence_id": 634, "annotations": []}
{"role": "volunteer", "content": "Oh, you mean, you mean somebody on Up Chief said that?", "session_id": 7729, "sequence_id": 635, "annotations": []}
{"role": "student", "content": "No, no, no, not here. Like somebody in my one of my classmates.", "session_id": 7729, "sequence_id": 636, "annotations": []}
{"role": "student", "content": "OK", "session_id": 7729, "sequence_id": 637, "annotations": []}
{"role": "volunteer", "content": "or one of your classmates, OK.", "session_id": 7729, "sequence_id": 638, "annotations": []}
{"role": "student", "content": "Oh", "session_id": 7729, "sequence_id": 639, "annotations": []}
{"role": "student", "content": "Here is, I just started yesterday. I just knew about this yesterday from the um from someone.", "session_id": 7729, "sequence_id": 640, "annotations": []}
{"role": "student", "content": "Yeah. I just knew about this yesterday.", "session_id": 7729, "sequence_id": 641, "annotations": []}
{"role": "volunteer", "content": "OK, well, I hope it makes sense for you today.", "session_id": 7729, "sequence_id": 642, "annotations": []}
{"role": "student", "content": "Yeah.", "session_id": 7729, "sequence_id": 643, "annotations": []}
{"role": "student", "content": "Would you like to do one more?", "session_id": 7729, "sequence_id": 644, "annotations": []}
{"role": "volunteer", "content": "Uh, I think that's, that's all I'm gonna do for now. We've been at it now for", "session_id": 7729, "sequence_id": 645, "annotations": []}
{"role": "volunteer", "content": "for an hour and a quarter already, but you know what you can do, you can make another request on Achieve and and other coach will help you.", "session_id": 7729, "sequence_id": 646, "annotations": []}
{"role": "student", "content": "Hm.", "session_id": 7729, "sequence_id": 647, "annotations": []}
{"role": "student", "content": "they have limited time like", "session_id": 7729, "sequence_id": 648, "annotations": []}
{"role": "volunteer", "content": "Oh", "session_id": 7729, "sequence_id": 649, "annotations": []}
{"role": "student", "content": "like you have, that's all I can do. That's all you can do today with me, like you have a limited time or?", "session_id": 7729, "sequence_id": 650, "annotations": []}
{"role": "volunteer", "content": "Well, uh, how long is your next problem? Is it a similar problem?", "session_id": 7729, "sequence_id": 651, "annotations": []}
{"role": "volunteer", "content": "OK, we can do.", "session_id": 7729, "sequence_id": 652, "annotations": []}
{"role": "volunteer", "content": "OK.", "session_id": 7729, "sequence_id": 653, "annotations": []}
{"role": "student", "content": "Oh no, we gotta figure out the confidence interval. And we got a, um, how do I explain to a person who has never had statistics, and we had to figure out the 95% confident interval. We're, we're not done yet.", "session_id": 7729, "sequence_id": 654, "annotations": []}
{"role": "volunteer", "content": "So it, it's the same, this same problem, right?", "session_id": 7729, "sequence_id": 655, "annotations": []}
{"role": "student", "content": "Yeah, which I know how to do, but like I need help with explaining to someone who has never taken statistics.", "session_id": 7729, "sequence_id": 656, "annotations": []}
{"role": "student", "content": "Like I just explained all of my uh my steps.", "session_id": 7729, "sequence_id": 657, "annotations": []}
{"role": "volunteer", "content": "You, I can, I can show you how to calculate a confidence interval if you like.", "session_id": 7729, "sequence_id": 658, "annotations": []}
{"role": "volunteer", "content": "Oh", "session_id": 7729, "sequence_id": 659, "annotations": []}
{"role": "student", "content": "No, I know that. I know that, sir. I know how to do that. I'm asking you like a question where it says Part C, where it says explain your answer to a person who has never had a stats course.", "session_id": 7729, "sequence_id": 660, "annotations": []}
{"role": "volunteer", "content": "OK", "session_id": 7729, "sequence_id": 661, "annotations": []}
{"role": "volunteer", "content": "So is it to explain the answer where you did the hypothesis test, or is it to explain the, the answer you got for the confidence interval.", "session_id": 7729, "sequence_id": 662, "annotations": []}
{"role": "volunteer", "content": "Uh", "session_id": 7729, "sequence_id": 663, "annotations": []}
{"role": "student", "content": "like explain in general, this is before um this is before the confident into like explain in general what I have done so far.", "session_id": 7729, "sequence_id": 664, "annotations": []}
{"role": "volunteer", "content": "OK. All right.", "session_id": 7729, "sequence_id": 665, "annotations": []}
{"role": "volunteer", "content": "So", "session_id": 7729, "sequence_id": 666, "annotations": []}
{"role": "student", "content": "So I'm gonna just say", "session_id": 7729, "sequence_id": 667, "annotations": []}
{"role": "student", "content": "like, I'm gonna just take all of my, um, the 5 steps of hypothesis.", "session_id": 7729, "sequence_id": 668, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 7729, "sequence_id": 669, "annotations": []}
{"role": "student", "content": "Mm", "session_id": 7729, "sequence_id": 670, "annotations": []}
{"role": "student", "content": "OK. That's all I have to do for the explanation part to someone who has never had statistic.", "session_id": 7729, "sequence_id": 671, "annotations": []}
{"role": "volunteer", "content": "Um, you probably need to explain in more simple terms. Let me see how you would say that. Give me a, give me a minute or two to see how you would say that to someone who doesn't understand hypothesis testing.", "session_id": 7729, "sequence_id": 672, "annotations": []}
{"role": "student", "content": "Like they never take stats before, like someone who has never taken statistics before.", "session_id": 7729, "sequence_id": 673, "annotations": []}
{"role": "volunteer", "content": "right? You would explain it this way.", "session_id": 7729, "sequence_id": 674, "annotations": []}
{"role": "volunteer", "content": "You would say that", "session_id": 7729, "sequence_id": 675, "annotations": []}
{"role": "volunteer", "content": "if", "session_id": 7729, "sequence_id": 676, "annotations": []}
{"role": "volunteer", "content": "the people who had a traumatic experience had", "session_id": 7729, "sequence_id": 677, "annotations": []}
{"role": "volunteer", "content": "the same number of dreams.", "session_id": 7729, "sequence_id": 678, "annotations": []}
{"role": "volunteer", "content": "as the general population.", "session_id": 7729, "sequence_id": 679, "annotations": []}
{"role": "volunteer", "content": "then you would expect", "session_id": 7729, "sequence_id": 680, "annotations": []}
{"role": "volunteer", "content": "that the Z score that you calculated.", "session_id": 7729, "sequence_id": 681, "annotations": []}
{"role": "volunteer", "content": "uh, would be", "session_id": 7729, "sequence_id": 682, "annotations": []}
{"role": "volunteer", "content": "less than 1.64", "session_id": 7729, "sequence_id": 683, "annotations": []}
{"role": "volunteer", "content": "95% of the time.", "session_id": 7729, "sequence_id": 684, "annotations": []}
{"role": "volunteer", "content": "But because you got the Z score that is so much higher.", "session_id": 7729, "sequence_id": 685, "annotations": []}
{"role": "volunteer", "content": "it's almost certain that the people with the traumatic experience have more dreams.", "session_id": 7729, "sequence_id": 686, "annotations": []}
{"role": "volunteer", "content": "That's how you could explain it to someone who doesn't understand testing.", "session_id": 7729, "sequence_id": 687, "annotations": []}
{"role": "student", "content": "Mm. Can you write it down somewhere because you put it in the text chat box, but it keeps going up, so it's kind of hard to see.", "session_id": 7729, "sequence_id": 688, "annotations": []}
{"role": "volunteer", "content": "OK, I'll try to write it, um.", "session_id": 7729, "sequence_id": 689, "annotations": []}
{"role": "volunteer", "content": "so.", "session_id": 7729, "sequence_id": 690, "annotations": []}
{"role": "student", "content": "Yeah, if the people", "session_id": 7729, "sequence_id": 691, "annotations": []}
{"role": "student", "content": "I thought the checks, the chat box didn't let me scroll up or something.", "session_id": 7729, "sequence_id": 692, "annotations": []}
{"role": "volunteer", "content": "Yes, you can scroll up and down the chat.", "session_id": 7729, "sequence_id": 693, "annotations": []}
{"role": "student", "content": "And then call um calculating the CI 4 95% it's just I had to put in the minus 1.64 and plus 1.64 times the um", "session_id": 7729, "sequence_id": 694, "annotations": []}
{"role": "student", "content": "times the 0.33 plus the um", "session_id": 7729, "sequence_id": 695, "annotations": []}
{"role": "student", "content": "hm", "session_id": 7729, "sequence_id": 696, "annotations": []}
{"role": "student", "content": "let's see, plus the 8, which is the sample.", "session_id": 7729, "sequence_id": 697, "annotations": []}
{"role": "volunteer", "content": "Right", "session_id": 7729, "sequence_id": 698, "annotations": []}
{"role": "volunteer", "content": "I can write it on the board if you like.", "session_id": 7729, "sequence_id": 699, "annotations": []}
{"role": "student", "content": "You can go ahead and do that, but I, I know the formula for that. It's the plus minus disease um the um the Z score on the distribute like the cut-up score on the distribution, um, times the standard deviation of the means, plus the sample mean, plus the N.", "session_id": 7729, "sequence_id": 700, "annotations": []}
{"role": "volunteer", "content": "Right.", "session_id": 7729, "sequence_id": 701, "annotations": []}
{"role": "student", "content": "Let's see", "session_id": 7729, "sequence_id": 702, "annotations": []}
{"role": "student", "content": "So then, um, like going back to my, um, like the research hypothesis and no hypothesis, I would have said like people who have traumatic experiences will have the same number of dreams when they're alone, then then the population in general.", "session_id": 7729, "sequence_id": 703, "annotations": []}
{"role": "volunteer", "content": "Uh, that's not the research hypothesis. That's the null hypothesis.", "session_id": 7729, "sequence_id": 704, "annotations": []}
{"role": "volunteer", "content": "what you just said", "session_id": 7729, "sequence_id": 705, "annotations": []}
{"role": "student", "content": "No, in my research hypothesis, I say like people who are traumatic experiences will have more dreams when they are alone than people in general, and the no hypothesis is people who have traumatic experiences will not have more dreams when they're alone, than people in general.", "session_id": 7729, "sequence_id": 706, "annotations": []}
{"role": "volunteer", "content": "OK, that's correct. That's correct. If that's what you said, then that's correct.", "session_id": 7729, "sequence_id": 707, "annotations": []}
{"role": "student", "content": "They said you want to do for today?", "session_id": 7729, "sequence_id": 708, "annotations": []}
{"role": "volunteer", "content": "Uh, yes, well, that completes your, your, your problem", "session_id": 7729, "sequence_id": 709, "annotations": []}
{"role": "student", "content": "Mm", "session_id": 7729, "sequence_id": 710, "annotations": []}
{"role": "volunteer", "content": "So I, I will stop here but uh feel free, you can make as many requests as you like, you know.", "session_id": 7729, "sequence_id": 711, "annotations": []}
{"role": "student", "content": "Mm", "session_id": 7729, "sequence_id": 712, "annotations": []}
{"role": "volunteer", "content": "Because I, I haven't eaten lunch yet, it's, I'm about 2 hours late already.", "session_id": 7729, "sequence_id": 713, "annotations": []}
{"role": "student", "content": "Oh, so sorry.", "session_id": 7729, "sequence_id": 714, "annotations": []}
{"role": "volunteer", "content": "Oh, no, no problem. I enjoy doing it.", "session_id": 7729, "sequence_id": 715, "annotations": []}
{"role": "student", "content": "I loved, uh, cause I love how he made it so simple for me to understand, like, now I understand, um, like the whole chapter like basically.", "session_id": 7729, "sequence_id": 716, "annotations": []}
{"role": "volunteer", "content": "OK, that's awesome.", "session_id": 7729, "sequence_id": 717, "annotations": []}
{"role": "student", "content": "Yeah", "session_id": 7729, "sequence_id": 718, "annotations": []}
{"role": "student", "content": "and for the for um", "session_id": 7729, "sequence_id": 719, "annotations": []}
{"role": "student", "content": "and for the for number one again, like I forget to write down, uh, you said it, uh, it varies based on the same, it varies among the population based on the sample mean, right?", "session_id": 7729, "sequence_id": 720, "annotations": []}
{"role": "student", "content": "For number one,", "session_id": 7729, "sequence_id": 721, "annotations": []}
{"role": "volunteer", "content": "Yes, so let me, let me answer that. Yeah, for number one", "session_id": 7729, "sequence_id": 722, "annotations": []}
{"role": "volunteer", "content": "uh, the 7", "session_id": 7729, "sequence_id": 723, "annotations": []}
{"role": "student", "content": "The berries based on the sample meme. It varies, but among the population based on the sample mean.", "session_id": 7729, "sequence_id": 724, "annotations": []}
{"role": "volunteer", "content": "right, you can say that yes", "session_id": 7729, "sequence_id": 725, "annotations": []}
{"role": "student", "content": "There is among the population.", "session_id": 7729, "sequence_id": 726, "annotations": []}
{"role": "student", "content": "based on the um", "session_id": 7729, "sequence_id": 727, "annotations": []}
{"role": "student", "content": "la", "session_id": 7729, "sequence_id": 728, "annotations": []}
{"role": "student", "content": "based on the sample", "session_id": 7729, "sequence_id": 729, "annotations": []}
{"role": "student", "content": "based on", "session_id": 7729, "sequence_id": 730, "annotations": []}
{"role": "student", "content": "Oh", "session_id": 7729, "sequence_id": 731, "annotations": []}
{"role": "student", "content": "I", "session_id": 7729, "sequence_id": 732, "annotations": []}
{"role": "student", "content": "I", "session_id": 7729, "sequence_id": 733, "annotations": []}
{"role": "student", "content": "I", "session_id": 7729, "sequence_id": 734, "annotations": []}
{"role": "student", "content": "Yeah, I haven't eaten lunch too yet.", "session_id": 7729, "sequence_id": 735, "annotations": []}
{"role": "volunteer", "content": "OK, well, it's time for us to eat then.", "session_id": 7729, "sequence_id": 736, "annotations": []}
{"role": "student", "content": "Yeah. We expect", "session_id": 7729, "sequence_id": 737, "annotations": []}
{"role": "student", "content": "that disease for", "session_id": 7729, "sequence_id": 738, "annotations": []}
{"role": "student", "content": "and disease don't live here. I'm still writing something down.", "session_id": 7729, "sequence_id": 739, "annotations": []}
{"role": "student", "content": "Oh", "session_id": 7729, "sequence_id": 740, "annotations": []}
{"role": "student", "content": "1.64.", "session_id": 7729, "sequence_id": 741, "annotations": []}
{"role": "student", "content": "But", "session_id": 7729, "sequence_id": 742, "annotations": []}
{"role": "student", "content": "uh", "session_id": 7729, "sequence_id": 743, "annotations": []}
{"role": "student", "content": "this is", "session_id": 7729, "sequence_id": 744, "annotations": []}
{"role": "student", "content": "I", "session_id": 7729, "sequence_id": 745, "annotations": []}
{"role": "student", "content": "I", "session_id": 7729, "sequence_id": 746, "annotations": []}
{"role": "student", "content": "Mm", "session_id": 7729, "sequence_id": 747, "annotations": []}
{"role": "student", "content": "OK, you can leave, sir. Thank you.", "session_id": 7729, "sequence_id": 748, "annotations": []}
{"role": "volunteer", "content": "OK, you're welcome. Have a good day.", "session_id": 7729, "sequence_id": 749, "annotations": []}
{"role": "student", "content": "You too", "session_id": 7729, "sequence_id": 750, "annotations": []}
{"role": "student", "content": "Hello! I\u2019d like to get some practice by solving the problems on this PDF. You might notice a bit of overwriting on it, but I still want to work through it. Here\u2019s the link to the PDF: https://example.com/document.pdf", "session_id": 8264, "sequence_id": 0, "annotations": [{"pii_type": "URL", "surrogate": "https://example.com/document.pdf", "start": 184, "end": 216}]}
{"role": "student", "content": "Starting with problem 2 of Obj. 14!", "session_id": 8264, "sequence_id": 1, "annotations": []}
{"role": "volunteer", "content": "Hi Sarah! I can see it, Ill copy it over so we can look at it together.", "session_id": 8264, "sequence_id": 2, "annotations": [{"pii_type": "PERSON", "surrogate": "Sarah", "start": 3, "end": 8}]}
{"role": "student", "content": "Ok", "session_id": 8264, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "I need help with solving it kinda", "session_id": 8264, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "Yep #2", "session_id": 8264, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "Sarah", "session_id": 8264, "sequence_id": 6, "annotations": [{"pii_type": "PERSON", "surrogate": "Sarah", "start": 0, "end": 5}]}
{"role": "volunteer", "content": "ok so basically we want to factor out the same monomial out of the two parts", "session_id": 8264, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "ok", "session_id": 8264, "sequence_id": 8, "annotations": []}
{"role": "student", "content": "oh find the gcf fo both?", "session_id": 8264, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "?", "session_id": 8264, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 8264, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "75/2 won't work", "session_id": 8264, "sequence_id": 12, "annotations": []}
{"role": "volunteer", "content": "think of it in two parts", "session_id": 8264, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "so the gcf will be", "session_id": 8264, "sequence_id": 14, "annotations": []}
{"role": "student", "content": "y^2", "session_id": 8264, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "and -25", "session_id": 8264, "sequence_id": 16, "annotations": []}
{"role": "volunteer", "content": "can you factor something out of y^2 - 25", "session_id": 8264, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "almost", "session_id": 8264, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "Sarah", "session_id": 8264, "sequence_id": 19, "annotations": [{"pii_type": "PERSON", "surrogate": "Sarah", "start": 0, "end": 5}]}
{"role": "student", "content": "(y-5)(y+5)", "session_id": 8264, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "for the first part we can factor out y^2 that is right", "session_id": 8264, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "there", "session_id": 8264, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "yep that looks right", "session_id": 8264, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "Ok now", "session_id": 8264, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "the next one", "session_id": 8264, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "so i distrbute", "session_id": 8264, "sequence_id": 26, "annotations": []}
{"role": "student", "content": "the 2t with that problem", "session_id": 8264, "sequence_id": 27, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 8264, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "2t^2+10t", "session_id": 8264, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "and move everything to the left so you have 0 on the right", "session_id": 8264, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "so combine everything", "session_id": 8264, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 8264, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "combine like terms?", "session_id": 8264, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 8264, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "kk", "session_id": 8264, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "i have t^2+13t-2=0", "session_id": 8264, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "can you double check the t^2 term", "session_id": 8264, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "oh its 5t^2", "session_id": 8264, "sequence_id": 38, "annotations": []}
{"role": "volunteer", "content": "can you type out you're working out on the board", "session_id": 8264, "sequence_id": 39, "annotations": []}
{"role": "volunteer", "content": "i'll be able to help better that way", "session_id": 8264, "sequence_id": 40, "annotations": []}
{"role": "student", "content": "kk", "session_id": 8264, "sequence_id": 41, "annotations": []}
{"role": "volunteer", "content": "can you start from where the question starts after you distibute and show me how you moved things over", "session_id": 8264, "sequence_id": 42, "annotations": []}
{"role": "student", "content": "k", "session_id": 8264, "sequence_id": 43, "annotations": []}
{"role": "student", "content": "Can u write bc i write big", "session_id": 8264, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "and ill write how i solved it", "session_id": 8264, "sequence_id": 45, "annotations": []}
{"role": "volunteer", "content": "sure ill write the expression after the distribution", "session_id": 8264, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "kk", "session_id": 8264, "sequence_id": 47, "annotations": []}
{"role": "volunteer", "content": "can you show me what the expression looks like after adding t^2 from both sides", "session_id": 8264, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "yeah so its t^2", "session_id": 8264, "sequence_id": 49, "annotations": []}
{"role": "student", "content": "is this correct", "session_id": 8264, "sequence_id": 50, "annotations": []}
{"role": "student", "content": "2t^2-t^2=1", "session_id": 8264, "sequence_id": 51, "annotations": []}
{"role": "volunteer", "content": "well since we have -t^2 on the right, we have to add t^2 to both sides to get 0", "session_id": 8264, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "you subtracted t^2 which changes the equation", "session_id": 8264, "sequence_id": 53, "annotations": []}
{"role": "student", "content": "wait wiat", "session_id": 8264, "sequence_id": 54, "annotations": []}
{"role": "student", "content": "you said we combine", "session_id": 8264, "sequence_id": 55, "annotations": []}
{"role": "volunteer", "content": "yes i missed saying a step, first we move balance out the equation by moving the terms to the left", "session_id": 8264, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "ill walk you through it", "session_id": 8264, "sequence_id": 57, "annotations": []}
{"role": "student", "content": "ok", "session_id": 8264, "sequence_id": 58, "annotations": []}
{"role": "volunteer", "content": "when we add t^2 to both sides do you see how that turns to 0 on the right side?", "session_id": 8264, "sequence_id": 59, "annotations": []}
{"role": "student", "content": "so we don't combine like terms?", "session_id": 8264, "sequence_id": 60, "annotations": []}
{"role": "volunteer", "content": "we will once everything is on the left", "session_id": 8264, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "after adding t^2 to both sides we get:", "session_id": 8264, "sequence_id": 62, "annotations": []}
{"role": "volunteer", "content": "does that make sense? now we do it for 3t and -3", "session_id": 8264, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "what should we add on the left to get rid of 03?", "session_id": 8264, "sequence_id": 64, "annotations": []}
{"role": "volunteer", "content": "sorry -3?", "session_id": 8264, "sequence_id": 65, "annotations": []}
{"role": "student", "content": "ok i think i get it", "session_id": 8264, "sequence_id": 66, "annotations": []}
{"role": "student", "content": "so basically everything becomes positive", "session_id": 8264, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "not necessairily, the goal of this step is to get 0 on the right so that you can solve it the way you usually do by factoring", "session_id": 8264, "sequence_id": 68, "annotations": []}
{"role": "volunteer", "content": "if like terms are on both sides its just more confusing to solve", "session_id": 8264, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "do you want me to show you the next step? that gets us closer to getting 0 on the right?", "session_id": 8264, "sequence_id": 70, "annotations": []}
{"role": "volunteer", "content": "let me know where i can help", "session_id": 8264, "sequence_id": 71, "annotations": []}
{"role": "student", "content": "nvm I understand it", "session_id": 8264, "sequence_id": 72, "annotations": []}
{"role": "student", "content": "answer is t=-4/3,-1", "session_id": 8264, "sequence_id": 73, "annotations": []}
{"role": "student", "content": "now $4", "session_id": 8264, "sequence_id": 74, "annotations": []}
{"role": "student", "content": "#4", "session_id": 8264, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "yep nice job", "session_id": 8264, "sequence_id": 76, "annotations": []}
{"role": "volunteer", "content": "oops sorry another look made me see that both t's should be positive, double check your signs", "session_id": 8264, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "ill start looking at #4", "session_id": 8264, "sequence_id": 78, "annotations": []}
{"role": "student", "content": "kk", "session_id": 8264, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "can you show me what your first step in doing problem #4 would be", "session_id": 8264, "sequence_id": 80, "annotations": []}
{"role": "student", "content": "yes", "session_id": 8264, "sequence_id": 81, "annotations": []}
{"role": "student", "content": "x= -7,4", "session_id": 8264, "sequence_id": 82, "annotations": []}
{"role": "volunteer", "content": "to balance the equation and get 0 on the right we need to subtract 28 from both sides", "session_id": 8264, "sequence_id": 83, "annotations": []}
{"role": "volunteer", "content": "yep you got it!", "session_id": 8264, "sequence_id": 84, "annotations": []}
{"role": "student", "content": "next one", "session_id": 8264, "sequence_id": 85, "annotations": []}
{"role": "student", "content": "honestly a lot of these problems are not from the notes that we've done w my teacher in class", "session_id": 8264, "sequence_id": 86, "annotations": []}
{"role": "student", "content": "so it feels like im re learning new material", "session_id": 8264, "sequence_id": 87, "annotations": []}
{"role": "volunteer", "content": "that's ok im happy to help, sometime exampled don't translate that well but the same concepts apply", "session_id": 8264, "sequence_id": 88, "annotations": []}
{"role": "student", "content": "kk", "session_id": 8264, "sequence_id": 89, "annotations": []}
{"role": "volunteer", "content": "where do you get stuck with this one?", "session_id": 8264, "sequence_id": 90, "annotations": []}
{"role": "student", "content": "the 2Y2", "session_id": 8264, "sequence_id": 91, "annotations": []}
{"role": "volunteer", "content": "remember how in the first one we had 2 parts and we collected the same factor from each part?", "session_id": 8264, "sequence_id": 92, "annotations": []}
{"role": "volunteer", "content": "this is similar", "session_id": 8264, "sequence_id": 93, "annotations": []}
{"role": "student", "content": "mhm", "session_id": 8264, "sequence_id": 94, "annotations": []}
{"role": "student", "content": "ok", "session_id": 8264, "sequence_id": 95, "annotations": []}
{"role": "volunteer", "content": "since -y = -2y Sarah we can replace it with that", "session_id": 8264, "sequence_id": 96, "annotations": [{"pii_type": "PERSON", "surrogate": "Sarah", "start": 15, "end": 20}]}
{"role": "volunteer", "content": "sorry -3y +2y", "session_id": 8264, "sequence_id": 97, "annotations": []}
{"role": "volunteer", "content": "do you agree its the same equation?", "session_id": 8264, "sequence_id": 98, "annotations": []}
{"role": "student", "content": "yes", "session_id": 8264, "sequence_id": 99, "annotations": []}
{"role": "volunteer", "content": "ok now we have the two parts, what would you factor out of 2y^2 + 2y", "session_id": 8264, "sequence_id": 100, "annotations": []}
{"role": "student", "content": "y=3/2,-1", "session_id": 8264, "sequence_id": 101, "annotations": []}
{"role": "student", "content": "next one", "session_id": 8264, "sequence_id": 102, "annotations": []}
{"role": "volunteer", "content": "nice, good job!", "session_id": 8264, "sequence_id": 103, "annotations": []}
{"role": "volunteer", "content": "is there anything obvious you would factor out straight away?", "session_id": 8264, "sequence_id": 104, "annotations": []}
{"role": "student", "content": "woudl i combine it", "session_id": 8264, "sequence_id": 105, "annotations": []}
{"role": "volunteer", "content": "can you show me what you mean?", "session_id": 8264, "sequence_id": 106, "annotations": []}
{"role": "student", "content": "nvm", "session_id": 8264, "sequence_id": 107, "annotations": []}
{"role": "volunteer", "content": "did you notice that both 36 x^2 are both squares of certain numbers?", "session_id": 8264, "sequence_id": 108, "annotations": []}
{"role": "student", "content": "wait i get it", "session_id": 8264, "sequence_id": 109, "annotations": []}
{"role": "student", "content": "gcf is 4", "session_id": 8264, "sequence_id": 110, "annotations": []}
{"role": "student", "content": "x=0,5/3,-5/3", "session_id": 8264, "sequence_id": 111, "annotations": []}
{"role": "volunteer", "content": "great!", "session_id": 8264, "sequence_id": 112, "annotations": []}
{"role": "volunteer", "content": "are you sure you need me here :P", "session_id": 8264, "sequence_id": 113, "annotations": []}
{"role": "student", "content": "actually", "session_id": 8264, "sequence_id": 114, "annotations": []}
{"role": "student", "content": "one sec", "session_id": 8264, "sequence_id": 115, "annotations": []}
{"role": "student", "content": "Ok so I want to show you the difference of the notes", "session_id": 8264, "sequence_id": 116, "annotations": []}
{"role": "student", "content": "of obj 14", "session_id": 8264, "sequence_id": 117, "annotations": []}
{"role": "student", "content": "which is way diff and i have a test coming up and she gave us this practice sheet today so idrk", "session_id": 8264, "sequence_id": 118, "annotations": []}
{"role": "volunteer", "content": "can you copy it here", "session_id": 8264, "sequence_id": 119, "annotations": []}
{"role": "student", "content": "https://example.com/another_document.pdf", "session_id": 8264, "sequence_id": 120, "annotations": [{"pii_type": "URL", "surrogate": "https://example.com/another_document.pdf", "start": 0, "end": 40}]}
{"role": "volunteer", "content": "ok, so what i see is the objective is the same but in what you just shared there are certain things that don't appear, like perfect squares and how to deal with Sarah etc", "session_id": 8264, "sequence_id": 121, "annotations": [{"pii_type": "PERSON", "surrogate": "Sarah", "start": 161, "end": 166}]}
{"role": "student", "content": "exactly", "session_id": 8264, "sequence_id": 122, "annotations": []}
{"role": "student", "content": "i emailed my teacher about it ill wait for her response but last night i was working on the problems from the notes w a past coach", "session_id": 8264, "sequence_id": 123, "annotations": []}
{"role": "student", "content": "basically same format of the problem just w diff numbers", "session_id": 8264, "sequence_id": 124, "annotations": []}
{"role": "student", "content": "i left off at page 2 problem 9", "session_id": 8264, "sequence_id": 125, "annotations": []}
{"role": "student", "content": "*8", "session_id": 8264, "sequence_id": 126, "annotations": []}
{"role": "student", "content": "so i want to work on thatinstead of ths", "session_id": 8264, "sequence_id": 127, "annotations": []}
{"role": "student", "content": "bc its just like i'm learnin new things", "session_id": 8264, "sequence_id": 128, "annotations": []}
{"role": "volunteer", "content": "I see what you are concerned about", "session_id": 8264, "sequence_id": 129, "annotations": []}
{"role": "volunteer", "content": "it can be overwhelming but from what im seeing you're doing quite well", "session_id": 8264, "sequence_id": 130, "annotations": []}
{"role": "student", "content": "For the test its two questions per objective usually they're easy so idk", "session_id": 8264, "sequence_id": 131, "annotations": []}
{"role": "volunteer", "content": "you also use the concepts from the current share on what we did today", "session_id": 8264, "sequence_id": 132, "annotations": []}
{"role": "student", "content": "I think it was based off of the notes too", "session_id": 8264, "sequence_id": 133, "annotations": []}
{"role": "volunteer", "content": "some more practice might help make you more confident", "session_id": 8264, "sequence_id": 134, "annotations": []}
{"role": "volunteer", "content": "Khan Academy has free videos on how to deal with those and practice questions", "session_id": 8264, "sequence_id": 135, "annotations": [{"pii_type": "SCHOOL", "surrogate": "Khan Academy", "start": 0, "end": 12}]}
{"role": "student", "content": "those problems are harder i don'tt hink she'd put those on the test since she gives us smaller #s etc an ones from the notes", "session_id": 8264, "sequence_id": 136, "annotations": []}
{"role": "volunteer", "content": "yes just practice until you feel comfortable and look out for small mistakes when taking the test", "session_id": 8264, "sequence_id": 137, "annotations": []}
{"role": "student", "content": "Do you still have time", "session_id": 8264, "sequence_id": 138, "annotations": []}
{"role": "student", "content": "to work on the notes isntead", "session_id": 8264, "sequence_id": 139, "annotations": []}
{"role": "volunteer", "content": "sure i can stay 15 more minutes", "session_id": 8264, "sequence_id": 140, "annotations": []}
{"role": "student", "content": "ok i just need u to do diff numbers but same format etc for problem 8 page 2", "session_id": 8264, "sequence_id": 141, "annotations": []}
{"role": "volunteer", "content": "ok let me take a look", "session_id": 8264, "sequence_id": 142, "annotations": []}
{"role": "student", "content": "kk", "session_id": 8264, "sequence_id": 143, "annotations": []}
{"role": "volunteer", "content": "try this one", "session_id": 8264, "sequence_id": 144, "annotations": []}
{"role": "student", "content": "K", "session_id": 8264, "sequence_id": 145, "annotations": []}
{"role": "student", "content": "those numbers won't work", "session_id": 8264, "sequence_id": 146, "annotations": []}
{"role": "student", "content": "won't match when factoring", "session_id": 8264, "sequence_id": 147, "annotations": []}
{"role": "volunteer", "content": "let me try it here", "session_id": 8264, "sequence_id": 148, "annotations": []}
{"role": "student", "content": "kk", "session_id": 8264, "sequence_id": 149, "annotations": []}
{"role": "student", "content": "oh nvm", "session_id": 8264, "sequence_id": 150, "annotations": []}
{"role": "student", "content": "i used wrong #s", "session_id": 8264, "sequence_id": 151, "annotations": []}
{"role": "volunteer", "content": "ok ill wait for you to try it again :)", "session_id": 8264, "sequence_id": 152, "annotations": []}
{"role": "student", "content": "x=-1/6,-1/2", "session_id": 8264, "sequence_id": 153, "annotations": []}
{"role": "volunteer", "content": "perfect", "session_id": 8264, "sequence_id": 154, "annotations": []}
{"role": "volunteer", "content": "i think you make mistakes with signs, make sure you watch out for that on the tesy", "session_id": 8264, "sequence_id": 155, "annotations": []}
{"role": "volunteer", "content": "want another one?", "session_id": 8264, "sequence_id": 156, "annotations": []}
{"role": "student", "content": "yes #9", "session_id": 8264, "sequence_id": 157, "annotations": []}
{"role": "student", "content": "i said problem 9", "session_id": 8264, "sequence_id": 158, "annotations": []}
{"role": "student", "content": "problem 9 is diff than this", "session_id": 8264, "sequence_id": 159, "annotations": []}
{"role": "volunteer", "content": "24x^2 -4x-4 right?", "session_id": 8264, "sequence_id": 160, "annotations": []}
{"role": "student", "content": "yes", "session_id": 8264, "sequence_id": 161, "annotations": []}
{"role": "volunteer", "content": "its the same i just put one term to the right", "session_id": 8264, "sequence_id": 162, "annotations": []}
{"role": "volunteer", "content": "i want you to make sure you get it right, whenever you move things to the right you have a tendency to mix up the sign", "session_id": 8264, "sequence_id": 163, "annotations": []}
{"role": "volunteer", "content": "i want to*", "session_id": 8264, "sequence_id": 164, "annotations": []}
{"role": "volunteer", "content": "to the left*", "session_id": 8264, "sequence_id": 165, "annotations": []}
{"role": "student", "content": "-54", "session_id": 8264, "sequence_id": 166, "annotations": []}
{"role": "volunteer", "content": "yep now similar to problem #4 you want to factor out the biggest constant", "session_id": 8264, "sequence_id": 167, "annotations": []}
{"role": "student", "content": "k", "session_id": 8264, "sequence_id": 168, "annotations": []}
{"role": "student", "content": "gcf is 6?", "session_id": 8264, "sequence_id": 169, "annotations": []}
{"role": "volunteer", "content": "yep", "session_id": 8264, "sequence_id": 170, "annotations": []}
{"role": "student", "content": "x^2-8x-9", "session_id": 8264, "sequence_id": 171, "annotations": []}
{"role": "student", "content": "=0?", "session_id": 8264, "sequence_id": 172, "annotations": []}
{"role": "volunteer", "content": "yep with the 6 on the outside of the polynomial", "session_id": 8264, "sequence_id": 173, "annotations": []}
{"role": "volunteer", "content": "the 6 can be cancelled out e.g. 6x=0 is the same as x=0", "session_id": 8264, "sequence_id": 174, "annotations": []}
{"role": "volunteer", "content": "when its cancelled you have exactly what you wrote", "session_id": 8264, "sequence_id": 175, "annotations": []}
{"role": "student", "content": "kk", "session_id": 8264, "sequence_id": 176, "annotations": []}
{"role": "student", "content": "ok so now do the ac mthod", "session_id": 8264, "sequence_id": 177, "annotations": []}
{"role": "volunteer", "content": "I'm sorry I have to leave now :')", "session_id": 8264, "sequence_id": 178, "annotations": []}
{"role": "volunteer", "content": "It was really nice working with you. I'll hand you off to another coach. Hope you ace your test!", "session_id": 8264, "sequence_id": 179, "annotations": []}
{"role": "volunteer", "content": "hello", "session_id": 11961, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "hii", "session_id": 11961, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "im doing corrections today", "session_id": 11961, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "ok", "session_id": 11961, "sequence_id": 3, "annotations": []}
{"role": "student", "content": "#4", "session_id": 11961, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "i think is right", "session_id": 11961, "sequence_id": 5, "annotations": []}
{"role": "student", "content": "i js changed it rn", "session_id": 11961, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "which part do you want me to check", "session_id": 11961, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "#4", "session_id": 11961, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "which graph do you think goes along with #4?", "session_id": 11961, "sequence_id": 9, "annotations": []}
{"role": "student", "content": "C", "session_id": 11961, "sequence_id": 10, "annotations": []}
{"role": "volunteer", "content": "Sorry, no", "session_id": 11961, "sequence_id": 11, "annotations": []}
{"role": "student", "content": "whattt", "session_id": 11961, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "wait im loooking on the wromg paper", "session_id": 11961, "sequence_id": 13, "annotations": []}
{"role": "student", "content": "its B", "session_id": 11961, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "#4 is not B either", "session_id": 11961, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "ohhh", "session_id": 11961, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "Alex", "session_id": 11961, "sequence_id": 17, "annotations": [{"pii_type": "PERSON", "surrogate": "Alex", "start": 0, "end": 4}]}
{"role": "volunteer", "content": "For one thing, at what value of x does the graph change for #4?", "session_id": 11961, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "3x-2", "session_id": 11961, "sequence_id": 19, "annotations": []}
{"role": "student", "content": "and x+2", "session_id": 11961, "sequence_id": 20, "annotations": []}
{"role": "volunteer", "content": "I am asking at what value of x the function goes from using 3x-2 to using x +2 ?", "session_id": 11961, "sequence_id": 21, "annotations": []}
{"role": "student", "content": "ohhh 1", "session_id": 11961, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "Right, but in C, the graph shifts at x =-1, right?", "session_id": 11961, "sequence_id": 23, "annotations": []}
{"role": "student", "content": "yes", "session_id": 11961, "sequence_id": 24, "annotations": []}
{"role": "volunteer", "content": "and and B the graph shifts at x =0", "session_id": 11961, "sequence_id": 25, "annotations": []}
{"role": "student", "content": "yes", "session_id": 11961, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "so B and C cannot be rigth for #4", "session_id": 11961, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "so it would only lwave us with E", "session_id": 11961, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "leave", "session_id": 11961, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "E is not the only possibility", "session_id": 11961, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "d too", "session_id": 11961, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "What would be the y intercetp for #4?", "session_id": 11961, "sequence_id": 32, "annotations": []}
{"role": "student", "content": "2", "session_id": 11961, "sequence_id": 33, "annotations": []}
{"role": "volunteer", "content": "No. the y intercept occurs when x =0", "session_id": 11961, "sequence_id": 34, "annotations": []}
{"role": "student", "content": "ohh", "session_id": 11961, "sequence_id": 35, "annotations": []}
{"role": "student", "content": "so we get A", "session_id": 11961, "sequence_id": 36, "annotations": []}
{"role": "volunteer", "content": "in #4, when x=0.which equation should you use the top or the bottom?", "session_id": 11961, "sequence_id": 37, "annotations": []}
{"role": "student", "content": "bc of the y intercept", "session_id": 11961, "sequence_id": 38, "annotations": []}
{"role": "student", "content": "too", "session_id": 11961, "sequence_id": 39, "annotations": []}
{"role": "student", "content": "top", "session_id": 11961, "sequence_id": 40, "annotations": []}
{"role": "volunteer", "content": "right, and what is the y intercept for 3x-2?", "session_id": 11961, "sequence_id": 41, "annotations": []}
{"role": "student", "content": "-2", "session_id": 11961, "sequence_id": 42, "annotations": []}
{"role": "volunteer", "content": "Right, so we already narrowed it down to D and E", "session_id": 11961, "sequence_id": 43, "annotations": []}
{"role": "volunteer", "content": "which one has a y intercept of -2?", "session_id": 11961, "sequence_id": 44, "annotations": []}
{"role": "student", "content": "1", "session_id": 11961, "sequence_id": 45, "annotations": []}
{"role": "student", "content": "i nean", "session_id": 11961, "sequence_id": 46, "annotations": []}
{"role": "student", "content": "A", "session_id": 11961, "sequence_id": 47, "annotations": []}
{"role": "student", "content": "noo", "session_id": 11961, "sequence_id": 48, "annotations": []}
{"role": "student", "content": "E", "session_id": 11961, "sequence_id": 49, "annotations": []}
{"role": "volunteer", "content": "what is the y intercept on graph E?", "session_id": 11961, "sequence_id": 50, "annotations": []}
{"role": "student", "content": "nvm its d bc of -2", "session_id": 11961, "sequence_id": 51, "annotations": []}
{"role": "student", "content": "y intercept", "session_id": 11961, "sequence_id": 52, "annotations": []}
{"role": "volunteer", "content": "Yes, it's D", "session_id": 11961, "sequence_id": 53, "annotations": []}
{"role": "student", "content": "Jamie i have to erase the back of this rq", "session_id": 11961, "sequence_id": 54, "annotations": [{"pii_type": "PERSON", "surrogate": "Jamie", "start": 0, "end": 5}]}
{"role": "volunteer", "content": "what do you need for this?", "session_id": 11961, "sequence_id": 55, "annotations": []}
{"role": "student", "content": "all of it for 9 and 10", "session_id": 11961, "sequence_id": 56, "annotations": []}
{"role": "volunteer", "content": "You should figure out some points for x <0,   0<x<2,  and x >2", "session_id": 11961, "sequence_id": 57, "annotations": []}
{"role": "volunteer", "content": "do you know what I mean?", "session_id": 11961, "sequence_id": 58, "annotations": []}
{"role": "student", "content": "-1, 1,0?", "session_id": 11961, "sequence_id": 59, "annotations": []}
{"role": "volunteer", "content": "Let's firs find f(x) at the two breakpoints.", "session_id": 11961, "sequence_id": 60, "annotations": []}
{"role": "student", "content": "wdym", "session_id": 11961, "sequence_id": 61, "annotations": []}
{"role": "volunteer", "content": "the graphs change at x =0 and x =2", "session_id": 11961, "sequence_id": 62, "annotations": []}
{"role": "student", "content": "wait can u write it on the board", "session_id": 11961, "sequence_id": 63, "annotations": []}
{"role": "volunteer", "content": "what is f(-1)?", "session_id": 11961, "sequence_id": 64, "annotations": []}
{"role": "student", "content": "x+1", "session_id": 11961, "sequence_id": 65, "annotations": []}
{"role": "volunteer", "content": "yes, you use x+1 for x =-1, so what is f(-1)?", "session_id": 11961, "sequence_id": 66, "annotations": []}
{"role": "student", "content": "-1+1", "session_id": 11961, "sequence_id": 67, "annotations": []}
{"role": "volunteer", "content": "And what does that equal?", "session_id": 11961, "sequence_id": 68, "annotations": []}
{"role": "student", "content": "-1,0", "session_id": 11961, "sequence_id": 69, "annotations": []}
{"role": "volunteer", "content": "OK, plot that point", "session_id": 11961, "sequence_id": 70, "annotations": []}
{"role": "student", "content": "what", "session_id": 11961, "sequence_id": 71, "annotations": []}
{"role": "student", "content": "wait so will it he closed", "session_id": 11961, "sequence_id": 72, "annotations": []}
{"role": "student", "content": "?", "session_id": 11961, "sequence_id": 73, "annotations": []}
{"role": "student", "content": "be", "session_id": 11961, "sequence_id": 74, "annotations": []}
{"role": "student", "content": "the point will it be opened or closed", "session_id": 11961, "sequence_id": 75, "annotations": []}
{"role": "volunteer", "content": "it's just a point, it's not a point where the graph dhanges", "session_id": 11961, "sequence_id": 76, "annotations": []}
{"role": "student", "content": "oh ok so closed", "session_id": 11961, "sequence_id": 77, "annotations": []}
{"role": "volunteer", "content": "yes", "session_id": 11961, "sequence_id": 78, "annotations": []}
{"role": "volunteer", "content": "go ahead and graph it.", "session_id": 11961, "sequence_id": 79, "annotations": []}
{"role": "volunteer", "content": "I will upload a better graph.", "session_id": 11961, "sequence_id": 80, "annotations": []}
{"role": "student", "content": "Chris u", "session_id": 11961, "sequence_id": 81, "annotations": [{"pii_type": "PERSON", "surrogate": "Chris", "start": 0, "end": 5}]}
{"role": "volunteer", "content": "for x =0, because it is a point where it shifts we can use both the top and and middle equations.  One will be an open point and one a closed point.", "session_id": 11961, "sequence_id": 82, "annotations": []}
{"role": "volunteer", "content": "if x =0, what does that equal using the top equation?", "session_id": 11961, "sequence_id": 83, "annotations": []}
{"role": "student", "content": "it would be -x+1", "session_id": 11961, "sequence_id": 84, "annotations": []}
{"role": "student", "content": "being 0,1", "session_id": 11961, "sequence_id": 85, "annotations": []}
{"role": "volunteer", "content": "Using x + 1 that would be (0,1)", "session_id": 11961, "sequence_id": 86, "annotations": []}
{"role": "student", "content": "ohh", "session_id": 11961, "sequence_id": 87, "annotations": []}
{"role": "student", "content": "so this one will be opened?", "session_id": 11961, "sequence_id": 88, "annotations": []}
{"role": "volunteer", "content": "using -x+1, that would also be 1", "session_id": 11961, "sequence_id": 89, "annotations": []}
{"role": "volunteer", "content": "so we can use a closed circle", "session_id": 11961, "sequence_id": 90, "annotations": []}
{"role": "student", "content": "oh okau so 0 we use x+1?", "session_id": 11961, "sequence_id": 91, "annotations": []}
{"role": "volunteer", "content": "You need to use both, so that you can see how far the top equation goes.", "session_id": 11961, "sequence_id": 92, "annotations": []}
{"role": "volunteer", "content": "Now find f(1)), because 1 is between 0 and 2", "session_id": 11961, "sequence_id": 93, "annotations": []}
{"role": "volunteer", "content": "hello?", "session_id": 11961, "sequence_id": 94, "annotations": []}
{"role": "student", "content": "-x+1", "session_id": 11961, "sequence_id": 95, "annotations": []}
{"role": "student", "content": "-1+1", "session_id": 11961, "sequence_id": 96, "annotations": []}
{"role": "student", "content": "1,0", "session_id": 11961, "sequence_id": 97, "annotations": []}
{"role": "student", "content": "closed", "session_id": 11961, "sequence_id": 98, "annotations": []}
{"role": "volunteer", "content": "ok, plot that point", "session_id": 11961, "sequence_id": 99, "annotations": []}
{"role": "volunteer", "content": "OK, now f(2))", "session_id": 11961, "sequence_id": 100, "annotations": []}
{"role": "student", "content": "f(2))", "session_id": 11961, "sequence_id": 101, "annotations": []}
{"role": "volunteer", "content": "Do you know what I mean when I write f(2)?", "session_id": 11961, "sequence_id": 102, "annotations": []}
{"role": "student", "content": "im confused", "session_id": 11961, "sequence_id": 103, "annotations": []}
{"role": "student", "content": "so are we on the same orobkem", "session_id": 11961, "sequence_id": 104, "annotations": []}
{"role": "volunteer", "content": "#9", "session_id": 11961, "sequence_id": 105, "annotations": []}
{"role": "volunteer", "content": "Do you know what I mean when I write f(2)?", "session_id": 11961, "sequence_id": 106, "annotations": []}
{"role": "student", "content": "uhh no", "session_id": 11961, "sequence_id": 107, "annotations": []}
{"role": "volunteer", "content": "OK, you need to know what that notation means.", "session_id": 11961, "sequence_id": 108, "annotations": []}
{"role": "volunteer", "content": "f(2)) is asking \"what is the value of the function when you plug in 2 for x\"", "session_id": 11961, "sequence_id": 109, "annotations": []}
{"role": "student", "content": "ohhh", "session_id": 11961, "sequence_id": 110, "annotations": []}
{"role": "student", "content": "so we write f(2) in the bix for X", "session_id": 11961, "sequence_id": 111, "annotations": []}
{"role": "student", "content": "and then do -(2)+1", "session_id": 11961, "sequence_id": 112, "annotations": []}
{"role": "volunteer", "content": "I don't know what\"bix\" means", "session_id": 11961, "sequence_id": 113, "annotations": []}
{"role": "student", "content": "box", "session_id": 11961, "sequence_id": 114, "annotations": []}
{"role": "student", "content": "so then we get 2,-1", "session_id": 11961, "sequence_id": 115, "annotations": []}
{"role": "volunteer", "content": "Yes.", "session_id": 11961, "sequence_id": 116, "annotations": []}
{"role": "volunteer", "content": "that gets a closed circle, right?", "session_id": 11961, "sequence_id": 117, "annotations": []}
{"role": "volunteer", "content": "Now we move onto graphing the bottom equation.", "session_id": 11961, "sequence_id": 118, "annotations": []}
{"role": "volunteer", "content": "The bottom equation starts at x =2, but it doesn't include 2, so that point will get an open circle.", "session_id": 11961, "sequence_id": 119, "annotations": []}
{"role": "volunteer", "content": "If we use x =2 in the bottom equation, what do we get?", "session_id": 11961, "sequence_id": 120, "annotations": []}
{"role": "student", "content": "ohh okay", "session_id": 11961, "sequence_id": 121, "annotations": []}
{"role": "student", "content": "im a lil confused rn", "session_id": 11961, "sequence_id": 122, "annotations": []}
{"role": "volunteer", "content": "what we are doing is graphing three lines", "session_id": 11961, "sequence_id": 123, "annotations": []}
{"role": "volunteer", "content": "the top line is y =x+1 but only is valid for x <0", "session_id": 11961, "sequence_id": 124, "annotations": []}
{"role": "volunteer", "content": "the middle line is y=-x+1 but we only graph it between x =0 and x =2", "session_id": 11961, "sequence_id": 125, "annotations": []}
{"role": "student", "content": "ohh whats our other points", "session_id": 11961, "sequence_id": 126, "annotations": []}
{"role": "student", "content": "that were using?", "session_id": 11961, "sequence_id": 127, "annotations": []}
{"role": "student", "content": "are we still using 2 for x", "session_id": 11961, "sequence_id": 128, "annotations": []}
{"role": "student", "content": "or what", "session_id": 11961, "sequence_id": 129, "annotations": []}
{"role": "volunteer", "content": "The middle line stops at x =2 and the bottom lime starts at x=2, so you need to figure out f(2) for both of them", "session_id": 11961, "sequence_id": 130, "annotations": []}
{"role": "volunteer", "content": "using the middle equation f(2) = -1", "session_id": 11961, "sequence_id": 131, "annotations": []}
{"role": "volunteer", "content": "that gives us the point (2,-1) and gets a close circle", "session_id": 11961, "sequence_id": 132, "annotations": []}
{"role": "student", "content": "wait Pat write it onmthe board", "session_id": 11961, "sequence_id": 133, "annotations": [{"pii_type": "PERSON", "surrogate": "Pat", "start": 5, "end": 8}]}
{"role": "volunteer", "content": "the bottom equation starts at x=2", "session_id": 11961, "sequence_id": 134, "annotations": []}
{"role": "student", "content": "i think im confusinh myself", "session_id": 11961, "sequence_id": 135, "annotations": []}
{"role": "volunteer", "content": "using x =2 in the bottom equation gives us 2- 1 =1", "session_id": 11961, "sequence_id": 136, "annotations": []}
{"role": "student", "content": "ohh ok", "session_id": 11961, "sequence_id": 137, "annotations": []}
{"role": "volunteer", "content": "so the bottom line starts at (2,1)", "session_id": 11961, "sequence_id": 138, "annotations": []}
{"role": "student", "content": "anf  its open", "session_id": 11961, "sequence_id": 139, "annotations": []}
{"role": "student", "content": "ookkk", "session_id": 11961, "sequence_id": 140, "annotations": []}
{"role": "volunteer", "content": "but that gets an  open circle because it is x>2 for the bottom equation", "session_id": 11961, "sequence_id": 141, "annotations": []}
{"role": "volunteer", "content": "what would f(4) equal?", "session_id": 11961, "sequence_id": 142, "annotations": []}
{"role": "student", "content": "4-1=3 so  4,3", "session_id": 11961, "sequence_id": 143, "annotations": []}
{"role": "volunteer", "content": "can you plot that on the graph?", "session_id": 11961, "sequence_id": 144, "annotations": []}
{"role": "student", "content": "would it be open", "session_id": 11961, "sequence_id": 145, "annotations": []}
{"role": "student", "content": "or closed", "session_id": 11961, "sequence_id": 146, "annotations": []}
{"role": "volunteer", "content": "The question of whether a dot is open or closed is only for vaues of x where the graph shifts", "session_id": 11961, "sequence_id": 147, "annotations": []}
{"role": "student", "content": "so closed", "session_id": 11961, "sequence_id": 148, "annotations": []}
{"role": "volunteer", "content": "(4,3) is just a regular dot", "session_id": 11961, "sequence_id": 149, "annotations": []}
{"role": "volunteer", "content": "all dots on a line are closed, except possibly at an endpoint.", "session_id": 11961, "sequence_id": 150, "annotations": []}
{"role": "volunteer", "content": "Now you can just draw the line for x>2", "session_id": 11961, "sequence_id": 151, "annotations": []}
{"role": "student", "content": "so will it be a straight like theu it", "session_id": 11961, "sequence_id": 152, "annotations": []}
{"role": "volunteer", "content": "But your line cannot go lower than x =2.  Your line starts at x =2", "session_id": 11961, "sequence_id": 153, "annotations": []}
{"role": "volunteer", "content": "the lines cannot overlap", "session_id": 11961, "sequence_id": 154, "annotations": []}
{"role": "student", "content": "would we add arrow or no!", "session_id": 11961, "sequence_id": 155, "annotations": []}
{"role": "volunteer", "content": "yes, that's it, and you could add an arrow because it goes on to infinity in both directions", "session_id": 11961, "sequence_id": 156, "annotations": []}
{"role": "student", "content": "like that?", "session_id": 11961, "sequence_id": 157, "annotations": []}
{"role": "volunteer", "content": "yes. that's it/", "session_id": 11961, "sequence_id": 158, "annotations": []}
{"role": "student", "content": "okk", "session_id": 11961, "sequence_id": 159, "annotations": []}
{"role": "volunteer", "content": "Look at the graph.  For values of x <0.we have graphed the line y =x+1", "session_id": 11961, "sequence_id": 160, "annotations": []}
{"role": "volunteer", "content": "for valus of x between 0 and 2, we have graphed the line y=-x+1", "session_id": 11961, "sequence_id": 161, "annotations": []}
{"role": "volunteer", "content": "and for values of x >2, we have graphed the line y=x-1", "session_id": 11961, "sequence_id": 162, "annotations": []}
{"role": "volunteer", "content": "does that make sense now?", "session_id": 11961, "sequence_id": 163, "annotations": []}
{"role": "student", "content": "wait can u write it on the board", "session_id": 11961, "sequence_id": 164, "annotations": []}
{"role": "volunteer", "content": "write what on the board?", "session_id": 11961, "sequence_id": 165, "annotations": []}
{"role": "student", "content": "wait", "session_id": 11961, "sequence_id": 166, "annotations": []}
{"role": "student", "content": "so we idk", "session_id": 11961, "sequence_id": 167, "annotations": []}
{"role": "student", "content": "im confused", "session_id": 11961, "sequence_id": 168, "annotations": []}
{"role": "volunteer", "content": "The graph is on the board", "session_id": 11961, "sequence_id": 169, "annotations": []}
{"role": "student", "content": "are we still on 9?", "session_id": 11961, "sequence_id": 170, "annotations": []}
{"role": "volunteer", "content": "I believe we are finished with it.  You have the graph for it.", "session_id": 11961, "sequence_id": 171, "annotations": []}
{"role": "student", "content": "ohh okk", "session_id": 11961, "sequence_id": 172, "annotations": []}
{"role": "student", "content": "so we on 10 now", "session_id": 11961, "sequence_id": 173, "annotations": []}
{"role": "volunteer", "content": "for 10 they want you to tell them what mistake the person made", "session_id": 11961, "sequence_id": 174, "annotations": []}
{"role": "student", "content": "yes", "session_id": 11961, "sequence_id": 175, "annotations": []}
{"role": "volunteer", "content": "can you see the error? think about that.", "session_id": 11961, "sequence_id": 176, "annotations": []}
{"role": "student", "content": "the second function is wrong", "session_id": 11961, "sequence_id": 177, "annotations": []}
{"role": "volunteer", "content": "why do say that?", "session_id": 11961, "sequence_id": 178, "annotations": []}
{"role": "volunteer", "content": "what is the second function?", "session_id": 11961, "sequence_id": 179, "annotations": []}
{"role": "student", "content": "so the graph should have a closed circle at x=-1 and a open cricle for the first and second part", "session_id": 11961, "sequence_id": 180, "annotations": []}
{"role": "student", "content": "the graph isnt showing", "session_id": 11961, "sequence_id": 181, "annotations": []}
{"role": "student", "content": "like the correct", "session_id": 11961, "sequence_id": 182, "annotations": []}
{"role": "student", "content": "points", "session_id": 11961, "sequence_id": 183, "annotations": []}
{"role": "volunteer", "content": "You are right that the errors are with open and closed circles.", "session_id": 11961, "sequence_id": 184, "annotations": []}
{"role": "volunteer", "content": "(-1,2) should be open", "session_id": 11961, "sequence_id": 185, "annotations": []}
{"role": "volunteer", "content": "and (2,-2) should also be open", "session_id": 11961, "sequence_id": 186, "annotations": []}
{"role": "volunteer", "content": "ok?", "session_id": 11961, "sequence_id": 187, "annotations": []}
{"role": "volunteer", "content": "Hello?", "session_id": 11961, "sequence_id": 188, "annotations": []}
{"role": "student", "content": "yesss", "session_id": 11961, "sequence_id": 189, "annotations": []}
{"role": "student", "content": "mb i was writing it down", "session_id": 11961, "sequence_id": 190, "annotations": []}
{"role": "volunteer", "content": "Do you think you get the basic idea of piecewise functions now?", "session_id": 11961, "sequence_id": 191, "annotations": []}
{"role": "student", "content": "yes but i have 4 more to do", "session_id": 11961, "sequence_id": 192, "annotations": []}
{"role": "student", "content": "i think im messing up w the grpahs", "session_id": 11961, "sequence_id": 193, "annotations": []}
{"role": "volunteer", "content": "Sorry, but I need to go now. But you can post another request", "session_id": 11961, "sequence_id": 194, "annotations": []}
{"role": "volunteer", "content": "have a good rest of the day.", "session_id": 11961, "sequence_id": 195, "annotations": []}
{"role": "student", "content": "You too", "session_id": 11961, "sequence_id": 196, "annotations": [{"pii_type": "PERSON", "surrogate": "You", "start": 0, "end": 3}]}
{"role": "student", "content": "thank u sm for ur time", "session_id": 11961, "sequence_id": 197, "annotations": []}
{"role": "volunteer", "content": "Hello", "session_id": 12033, "sequence_id": 0, "annotations": []}
{"role": "student", "content": "Hello!", "session_id": 12033, "sequence_id": 1, "annotations": []}
{"role": "student", "content": "Could I get some help with this question?", "session_id": 12033, "sequence_id": 2, "annotations": []}
{"role": "volunteer", "content": "Jamie", "session_id": 12033, "sequence_id": 3, "annotations": [{"pii_type": "PERSON", "surrogate": "Jamie", "start": 0, "end": 5}]}
{"role": "volunteer", "content": "Do you have an idea of what you should do first?", "session_id": 12033, "sequence_id": 4, "annotations": []}
{"role": "student", "content": "Multiply the 3 to the 6", "session_id": 12033, "sequence_id": 5, "annotations": []}
{"role": "volunteer", "content": "That is sort of right.", "session_id": 12033, "sequence_id": 6, "annotations": []}
{"role": "volunteer", "content": "what you are actually doing is multiply both sides by 3, right?", "session_id": 12033, "sequence_id": 7, "annotations": []}
{"role": "student", "content": "Yes sorry", "session_id": 12033, "sequence_id": 8, "annotations": []}
{"role": "volunteer", "content": "Whenever you have denominators in your problem, you should think of multiplying both sides to \"clear\" the denominators.", "session_id": 12033, "sequence_id": 9, "annotations": []}
{"role": "volunteer", "content": "What's next here?", "session_id": 12033, "sequence_id": 10, "annotations": []}
{"role": "student", "content": "That\u2019s where I got stuck", "session_id": 12033, "sequence_id": 11, "annotations": []}
{"role": "volunteer", "content": "what do they want you to solve for?", "session_id": 12033, "sequence_id": 12, "annotations": []}
{"role": "student", "content": "They want me to solve for b", "session_id": 12033, "sequence_id": 13, "annotations": []}
{"role": "volunteer", "content": "right, so that means you would like to end up with b= on the left.", "session_id": 12033, "sequence_id": 14, "annotations": []}
{"role": "volunteer", "content": "but there is something else on the left besides the b, right?", "session_id": 12033, "sequence_id": 15, "annotations": []}
{"role": "student", "content": "That so", "session_id": 12033, "sequence_id": 16, "annotations": []}
{"role": "student", "content": "That sounds right", "session_id": 12033, "sequence_id": 17, "annotations": []}
{"role": "volunteer", "content": "what is on the left besides b?", "session_id": 12033, "sequence_id": 18, "annotations": []}
{"role": "student", "content": "11a", "session_id": 12033, "sequence_id": 19, "annotations": []}
{"role": "volunteer", "content": "any thoughts about how we could \"get rid of\" the 11a?", "session_id": 12033, "sequence_id": 20, "annotations": []}
{"role": "student", "content": "We subtract it on both sides?", "session_id": 12033, "sequence_id": 21, "annotations": []}
{"role": "volunteer", "content": "yes!", "session_id": 12033, "sequence_id": 22, "annotations": []}
{"role": "volunteer", "content": "give that a try.", "session_id": 12033, "sequence_id": 23, "annotations": []}
{"role": "volunteer", "content": "Exellent!", "session_id": 12033, "sequence_id": 24, "annotations": []}
{"role": "student", "content": "Would that be my answer?", "session_id": 12033, "sequence_id": 25, "annotations": []}
{"role": "volunteer", "content": "Let's check and see if that works. We will plug in 7a for b in the original equation", "session_id": 12033, "sequence_id": 26, "annotations": []}
{"role": "volunteer", "content": "it works, so it must be the correct answer", "session_id": 12033, "sequence_id": 27, "annotations": []}
{"role": "student", "content": "Oh that makes so much more sense!", "session_id": 12033, "sequence_id": 28, "annotations": []}
{"role": "student", "content": "Thank you!", "session_id": 12033, "sequence_id": 29, "annotations": []}
{"role": "volunteer", "content": "you are very welcome", "session_id": 12033, "sequence_id": 30, "annotations": []}
{"role": "student", "content": "Have a lovely day!", "session_id": 12033, "sequence_id": 31, "annotations": []}
{"role": "volunteer", "content": "you too!", "session_id": 12033, "sequence_id": 32, "annotations": []}
